Full list of non-zero Kazhdan-Lusztig-Vogan polynomials:

  0:   0: 1

  1:   1: 1

  2:   2: 1

  3:   3: 1

  4:   4: 1

  5:   5: 1

  6:   6: 1

  7:   7: 1

  8:   8: 1

  9:   9: 1

 10:  10: 1

 11:  11: 1

 12:  12: 1

 13:  13: 1

 14:  14: 1

 15:   1: 1
       5: 1
      15: 1

 16:   6: 1
       9: 1
      16: 1

 17:   7: 1
      10: 1
      17: 1

 18:  11: 1
      13: 1
      18: 1

 19:   0: 1
       1: 1
      19: 1

 20:   3: 1
       6: 1
      20: 1

 21:   4: 1
       7: 1
      21: 1

 22:  13: 1
      14: 1
      22: 1

 23:   0: 1
       2: 1
      23: 1

 24:   4: 1
       8: 1
      24: 1

 25:   6: 1
      11: 1
      25: 1

 26:   9: 1
      13: 1
      26: 1

 27:   0: 1
       3: 1
      27: 1

 28:   1: 1
       6: 1
      28: 1

 29:   5: 1
       9: 1
      29: 1

 30:   8: 1
      12: 1
      30: 1

 31:   0: 1
       4: 1
      31: 1

 32:   1: 1
       7: 1
      32: 1

 33:   2: 1
       8: 1
      33: 1

 34:   5: 1
      10: 1
      34: 1

 35:   0: 1
       4: 1
      35: 1

 36:   1: 1
       7: 1
      36: 1

 37:   2: 1
       8: 1
      37: 1

 38:   5: 1
      10: 1
      38: 1

 39:   6: 1
       9: 1
      11: 1
      13: 1
      16: 1
      18: 1
      25: 1
      26: 1
      39: 1

 40:   1: 1
       5: 1
       6: 1
       9: 1
      15: 1
      16: 1
      28: 1
      29: 1
      40: 1

 41:   0: 1
       1: 1
       3: 1
       6: 1
      19: 1
      20: 1
      27: 1
      28: 1
      41: 1

 42:   1: 1
       5: 1
       7: 1
      10: 1
      15: 1
      17: 1
      32: 1
      34: 1
      42: 1

 43:   0: 1
       1: 1
       4: 1
       7: 1
      19: 1
      21: 1
      31: 1
      32: 1
      43: 1

 44:   0: 1
       2: 1
       4: 1
       8: 1
      23: 1
      24: 1
      31: 1
      33: 1
      44: 1

 45:   1: 1
       5: 1
       7: 1
      10: 1
      15: 1
      17: 1
      36: 1
      38: 1
      45: 1

 46:   0: 1
       1: 1
       4: 1
       7: 1
      19: 1
      21: 1
      35: 1
      36: 1
      46: 1

 47:   0: 1
       2: 1
       4: 1
       8: 1
      23: 1
      24: 1
      35: 1
      37: 1
      47: 1

 48:   0: 1
       4: 1
      31: 1
      35: 1
      48: 1

 49:   0: 1
       4: 1
      31: 1
      35: 1
      49: 1

 50:   1: 1
       7: 1
      32: 1
      36: 1
      50: 1

 51:   1: 1
       7: 1
      32: 1
      36: 1
      51: 1

 52:   2: 1
       8: 1
      33: 1
      37: 1
      52: 1

 53:   2: 1
       8: 1
      33: 1
      37: 1
      53: 1

 54:   5: 1
      10: 1
      34: 1
      38: 1
      54: 1

 55:   5: 1
      10: 1
      34: 1
      38: 1
      55: 1

 56:   0: 1
       1: 1
       5: 1
      15: 1
      19: 1
      56: 1

 57:   3: 1
       6: 1
       9: 1
      16: 1
      20: 1
      57: 1

 58:   4: 1
       7: 1
      10: 1
      17: 1
      21: 1
      58: 1

 59:  11: 1
      13: 1
      14: 1
      18: 1
      22: 1
      59: 1

 60:   0: 1
       1: 1
       2: 1
      19: 1
      23: 1
      60: 1

 61:   4: 1
       7: 1
       8: 1
      21: 1
      24: 1
      61: 1

 62:   3: 1
       6: 1
      11: 1
      20: 1
      25: 1
      62: 1

 63:   9: 1
      13: 1
      14: 1
      22: 1
      26: 1
      63: 1

 64:   0: 1
       2: 1
       3: 1
      23: 1
      27: 1
      64: 1

 65:   1: 1
       6: 1
      11: 1
      25: 1
      28: 1
      65: 1

 66:   4: 1
       8: 1
      12: 1
      24: 1
      30: 1
      66: 1

 67:   5: 1
       9: 1
      13: 1
      26: 1
      29: 1
      67: 1

 68:   0: 1
       3: 1
       4: 1
      27: 1
      31: 1
      68: 1

 69:   1: 1
       6: 1
       7: 1
      28: 1
      32: 1
      69: 1

 70:   2: 1
       8: 1
      12: 1
      30: 1
      33: 1
      70: 1

 71:   5: 1
       9: 1
      10: 1
      29: 1
      34: 1
      71: 1

 72:   0: 1
       3: 1
       4: 1
      27: 1
      35: 1
      72: 1

 73:   1: 1
       6: 1
       7: 1
      28: 1
      36: 1
      73: 1

 74:   2: 1
       8: 1
      12: 1
      30: 1
      37: 1
      74: 1

 75:   5: 1
       9: 1
      10: 1
      29: 1
      38: 1
      75: 1

 76:   1: 1
       5: 1
       7: 1
      10: 1
      15: 1
      17: 1
      32: 1
      34: 1
      36: 1
      38: 1
      42: 1
      45: 1
      50: 1
      54: 1
      76: 1

 77:   1: 1
       5: 1
       7: 1
      10: 1
      15: 1
      17: 1
      32: 1
      34: 1
      36: 1
      38: 1
      42: 1
      45: 1
      51: 1
      55: 1
      77: 1

 78:   0: 1
       1: 1
       4: 1
       7: 1
      19: 1
      21: 1
      31: 1
      32: 1
      35: 1
      36: 1
      43: 1
      46: 1
      48: 1
      50: 1
      78: 1

 79:   0: 1
       1: 1
       4: 1
       7: 1
      19: 1
      21: 1
      31: 1
      32: 1
      35: 1
      36: 1
      43: 1
      46: 1
      49: 1
      51: 1
      79: 1

 80:   0: 1
       2: 1
       4: 1
       8: 1
      23: 1
      24: 1
      31: 1
      33: 1
      35: 1
      37: 1
      44: 1
      47: 1
      48: 1
      52: 1
      80: 1

 81:   0: 1
       2: 1
       4: 1
       8: 1
      23: 1
      24: 1
      31: 1
      33: 1
      35: 1
      37: 1
      44: 1
      47: 1
      49: 1
      53: 1
      81: 1

 82:   3: 1
       6: 1
       9: q+1
      11: q+1
      13: 1
      14: 1
      16: 1
      18: 1
      20: 1
      22: 1
      25: 1
      26: 1
      39: 1
      57: 1
      59: 1
      62: 1
      63: 1
      82: 1

 83:   0: 1
       1: q+1
       2: 1
       3: q+1
       6: 1
      11: 1
      19: 1
      20: 1
      23: 1
      25: 1
      27: 1
      28: 1
      41: 1
      60: 1
      62: 1
      64: 1
      65: 1
      83: 1

 84:   0: 1
       1: 1
       3: 1
       5: 1
       6: 1
       9: 1
      15: 1
      16: 1
      19: 1
      20: 1
      27: 1
      28: 1
      29: 1
      40: 1
      41: 1
      56: 1
      57: 1
      84: 1

 85:   1: 1
       5: 1
       6: 1
       9: 1
      11: 1
      13: 1
      15: 1
      16: 1
      18: 1
      25: 1
      26: 1
      28: 1
      29: 1
      39: 1
      40: 1
      65: 1
      67: 1
      85: 1

 86:   0: 1
       2: q+1
       3: 1
       4: q+1
       8: 1
      12: 1
      23: 1
      24: 1
      27: 1
      30: 1
      35: 1
      37: 1
      47: 1
      64: 1
      66: 1
      72: 1
      74: 1
      86: 1

 87:   0: 1
       2: q+1
       3: 1
       4: q+1
       8: 1
      12: 1
      23: 1
      24: 1
      27: 1
      30: 1
      31: 1
      33: 1
      44: 1
      64: 1
      66: 1
      68: 1
      70: 1
      87: 1

 88:   0: 1
       3: 1
       4: q+1
      27: 1
      31: 1
      35: 1
      48: 1
      68: 1
      72: 1
      88: 1

 89:   0: 1
       3: 1
       4: q+1
      27: 1
      31: 1
      35: 1
      49: 1
      68: 1
      72: 1
      89: 1

 90:   1: 1
       6: 1
       7: q+1
      28: 1
      32: 1
      36: 1
      50: 1
      69: 1
      73: 1
      90: 1

 91:   1: 1
       6: 1
       7: q+1
      28: 1
      32: 1
      36: 1
      51: 1
      69: 1
      73: 1
      91: 1

 92:   2: q+1
       8: 1
      12: 1
      30: 1
      33: 1
      37: 1
      52: 1
      70: 1
      74: 1
      92: 1

 93:   2: q+1
       8: 1
      12: 1
      30: 1
      33: 1
      37: 1
      53: 1
      70: 1
      74: 1
      93: 1

 94:   5: 1
       9: 1
      10: q+1
      29: 1
      34: 1
      38: 1
      54: 1
      71: 1
      75: 1
      94: 1

 95:   5: 1
       9: 1
      10: q+1
      29: 1
      34: 1
      38: 1
      55: 1
      71: 1
      75: 1
      95: 1

 96:   0: 1
       1: 1
       4: 1
       5: 1
       7: 1
      10: 1
      15: 1
      17: 1
      19: 1
      21: 1
      31: 1
      32: 1
      34: 1
      42: 1
      43: 1
      56: 1
      58: 1
      96: 1

 97:   0: 1
       1: 1
       2: 1
       4: 1
       7: 1
       8: 1
      19: 1
      21: 1
      23: 1
      24: 1
      31: 1
      32: 1
      33: 1
      43: 1
      44: 1
      60: 1
      61: 1
      97: 1

 98:   1: 1
       5: 1
       6: 1
       7: 1
       9: 1
      10: 1
      15: 1
      16: 1
      17: 1
      28: 1
      29: 1
      32: 1
      34: 1
      40: 1
      42: 1
      69: 1
      71: 1
      98: 1

 99:   0: 1
       1: 1
       3: 1
       4: 1
       6: 1
       7: 1
      19: 1
      20: 1
      21: 1
      27: 1
      28: 1
      31: 1
      32: 1
      41: 1
      43: 1
      68: 1
      69: 1
      99: 1

100:   0: 1
       1: 1
       4: 1
       5: 1
       7: 1
      10: 1
      15: 1
      17: 1
      19: 1
      21: 1
      35: 1
      36: 1
      38: 1
      45: 1
      46: 1
      56: 1
      58: 1
     100: 1

101:   0: 1
       1: 1
       2: 1
       4: 1
       7: 1
       8: 1
      19: 1
      21: 1
      23: 1
      24: 1
      35: 1
      36: 1
      37: 1
      46: 1
      47: 1
      60: 1
      61: 1
     101: 1

102:   1: 1
       5: 1
       6: 1
       7: 1
       9: 1
      10: 1
      15: 1
      16: 1
      17: 1
      28: 1
      29: 1
      36: 1
      38: 1
      40: 1
      45: 1
      73: 1
      75: 1
     102: 1

103:   0: 1
       1: 1
       3: 1
       4: 1
       6: 1
       7: 1
      19: 1
      20: 1
      21: 1
      27: 1
      28: 1
      35: 1
      36: 1
      41: 1
      46: 1
      72: 1
      73: 1
     103: 1

104:   0: 1
       1: 1
       2: 1
       5: 1
      15: 1
      19: 1
      23: 1
      56: 1
      60: 1
     104: 1

105:   4: 1
       7: 1
       8: 1
      10: 1
      17: 1
      21: 1
      24: 1
      58: 1
      61: 1
     105: 1

106:   3: q+1
       6: 1
       9: 1
      11: 1
      13: 1
      16: 1
      18: 1
      20: 1
      25: 1
      26: 1
      39: 1
      57: 1
      62: 1
     106: 1

107:   6: 1
       9: 1
      11: 1
      13: 1
      14: q+1
      16: 1
      18: 1
      22: 1
      25: 1
      26: 1
      39: 1
      59: 1
      63: 1
     107: 1

108:   0: 1
       1: 1
       2: q+1
       3: 1
       6: 1
      19: 1
      20: 1
      23: 1
      27: 1
      28: 1
      41: 1
      60: 1
      64: 1
     108: 1

109:   0: 1
       1: 1
       3: 1
       6: 1
      11: q+1
      19: 1
      20: 1
      25: 1
      27: 1
      28: 1
      41: 1
      62: 1
      65: 1
     109: 1

110:   4: 1
       7: 1
       8: 1
      12: 1
      21: 1
      24: 1
      30: 1
      61: 1
      66: 1
     110: 1

111:   5: 1
       9: 1
      13: 1
      14: 1
      22: 1
      26: 1
      29: 1
      63: 1
      67: 1
     111: 1

112:   0: 1
       2: 1
       3: q+1
       4: 1
       8: 1
      23: 1
      24: 1
      27: 1
      31: 1
      33: 1
      44: 1
      64: 1
      68: 1
     112: 1

113:   1: 1
       6: 1
       7: 1
      11: 1
      25: 1
      28: 1
      32: 1
      65: 1
      69: 1
     113: 1

114:   0: 1
       2: 1
       4: 1
       8: 1
      12: q+1
      23: 1
      24: 1
      30: 1
      31: 1
      33: 1
      44: 1
      66: 1
      70: 1
     114: 1

115:   5: 1
       9: 1
      10: 1
      13: 1
      26: 1
      29: 1
      34: 1
      67: 1
      71: 1
     115: 1

116:   0: 1
       2: 1
       3: q+1
       4: 1
       8: 1
      23: 1
      24: 1
      27: 1
      35: 1
      37: 1
      47: 1
      64: 1
      72: 1
     116: 1

117:   1: 1
       6: 1
       7: 1
      11: 1
      25: 1
      28: 1
      36: 1
      65: 1
      73: 1
     117: 1

118:   0: 1
       2: 1
       4: 1
       8: 1
      12: q+1
      23: 1
      24: 1
      30: 1
      35: 1
      37: 1
      47: 1
      66: 1
      74: 1
     118: 1

119:   5: 1
       9: 1
      10: 1
      13: 1
      26: 1
      29: 1
      38: 1
      67: 1
      75: 1
     119: 1

120:   0: 2
       3: q+1
       4: 2
      27: 1
      31: 2
      35: 2
      48: 1
      49: 1
      68: 1
      72: 1
     120: 1

121:   1: 2
       6: q+1
       7: 2
      28: 1
      32: 2
      36: 2
      50: 1
      51: 1
      69: 1
      73: 1
     121: 1

122:   2: 2
       8: 2
      12: q+1
      30: 1
      33: 2
      37: 2
      52: 1
      53: 1
      70: 1
      74: 1
     122: 1

123:   5: 2
       9: q+1
      10: 2
      29: 1
      34: 2
      38: 2
      54: 1
      55: 1
      71: 1
      75: 1
     123: 1

124:   0: 1
       2: q+1
       3: 1
       4: q+1
       8: 1
      12: 1
      23: 1
      24: 1
      27: 1
      30: 1
      31: 1
      33: 1
      35: 1
      37: 1
      44: 1
      47: 1
      48: 1
      52: 1
      64: 1
      66: 1
      68: 1
      70: 1
      72: 1
      74: 1
      80: 1
      86: 1
      87: 1
      88: 1
      92: 1
     124: 1

125:   0: 1
       2: q+1
       3: 1
       4: q+1
       8: 1
      12: 1
      23: 1
      24: 1
      27: 1
      30: 1
      31: 1
      33: 1
      35: 1
      37: 1
      44: 1
      47: 1
      49: 1
      53: 1
      64: 1
      66: 1
      68: 1
      70: 1
      72: 1
      74: 1
      81: 1
      86: 1
      87: 1
      89: 1
      93: 1
     125: 1

126:   1: 1
       5: 1
       6: 1
       7: q+1
       9: 1
      10: q+1
      15: 1
      16: 1
      17: q+1
      28: 1
      29: 1
      32: 1
      34: 1
      36: 1
      38: 1
      40: 1
      42: 1
      45: 1
      50: 1
      54: 1
      69: 1
      71: 1
      73: 1
      75: 1
      76: 1
      90: 1
      94: 1
      98: 1
     102: 1
     126: 1

127:   1: 1
       5: 1
       6: 1
       7: q+1
       9: 1
      10: q+1
      15: 1
      16: 1
      17: q+1
      28: 1
      29: 1
      32: 1
      34: 1
      36: 1
      38: 1
      40: 1
      42: 1
      45: 1
      51: 1
      55: 1
      69: 1
      71: 1
      73: 1
      75: 1
      77: 1
      91: 1
      95: 1
      98: 1
     102: 1
     127: 1

128:   0: 1
       1: 1
       3: 1
       4: q+1
       6: 1
       7: q+1
      19: 1
      20: 1
      21: q+1
      27: 1
      28: 1
      31: 1
      32: 1
      35: 1
      36: 1
      41: 1
      43: 1
      46: 1
      48: 1
      50: 1
      68: 1
      69: 1
      72: 1
      73: 1
      78: 1
      88: 1
      90: 1
      99: 1
     103: 1
     128: 1

129:   0: 1
       1: 1
       3: 1
       4: q+1
       6: 1
       7: q+1
      19: 1
      20: 1
      21: q+1
      27: 1
      28: 1
      31: 1
      32: 1
      35: 1
      36: 1
      41: 1
      43: 1
      46: 1
      49: 1
      51: 1
      68: 1
      69: 1
      72: 1
      73: 1
      79: 1
      89: 1
      91: 1
      99: 1
     103: 1
     129: 1

130:   0: 1
       1: 1
       4: 1
       5: 1
       7: 1
      10: 1
      15: 1
      17: 1
      19: 1
      21: 1
      31: 1
      32: 1
      34: 1
      35: 1
      36: 1
      38: 1
      42: 1
      43: 1
      45: 1
      46: 1
      48: 1
      50: 1
      54: 1
      56: 1
      58: 1
      76: 1
      78: 1
      96: 1
     100: 1
     130: 1

131:   0: 1
       1: 1
       4: 1
       5: 1
       7: 1
      10: 1
      15: 1
      17: 1
      19: 1
      21: 1
      31: 1
      32: 1
      34: 1
      35: 1
      36: 1
      38: 1
      42: 1
      43: 1
      45: 1
      46: 1
      49: 1
      51: 1
      55: 1
      56: 1
      58: 1
      77: 1
      79: 1
      96: 1
     100: 1
     131: 1

132:   0: 1
       1: 1
       2: 1
       4: 1
       7: 1
       8: 1
      19: 1
      21: 1
      23: 1
      24: 1
      31: 1
      32: 1
      33: 1
      35: 1
      36: 1
      37: 1
      43: 1
      44: 1
      46: 1
      47: 1
      48: 1
      50: 1
      52: 1
      60: 1
      61: 1
      78: 1
      80: 1
      97: 1
     101: 1
     132: 1

133:   0: 1
       1: 1
       2: 1
       4: 1
       7: 1
       8: 1
      19: 1
      21: 1
      23: 1
      24: 1
      31: 1
      32: 1
      33: 1
      35: 1
      36: 1
      37: 1
      43: 1
      44: 1
      46: 1
      47: 1
      49: 1
      51: 1
      53: 1
      60: 1
      61: 1
      79: 1
      81: 1
      97: 1
     101: 1
     133: 1

134:   3: 1
       6: 1
       9: 1
      11: 1
      13: 1
      14: 1
      16: 1
      18: 1
      20: 1
      22: 1
      25: 1
      26: 1
      39: 1
      57: 1
      59: 1
      62: 1
      63: 1
      82: 1
     106: 1
     107: 1
     134: 1

135:   0: 1
       1: q+1
       2: 1
       3: q+1
       5: q+1
       6: 1
       9: 1
      11: 1
      13: 1
      15: q+1
      16: 1
      18: 1
      19: 1
      20: 1
      23: 1
      25: 1
      26: 1
      27: 1
      28: 1
      29: 1
      39: 1
      40: 1
      41: 1
      56: 1
      57: 1
      60: 1
      62: 1
      64: 1
      65: 1
      67: 1
      83: 1
      84: 1
      85: 1
     104: 1
     106: 1
     135: 1

136:   0: 1
       2: 1
       3: q+1
       4: q+1
       8: q+1
      23: 1
      24: q+1
      27: 1
      31: 1
      33: 1
      35: 1
      37: 1
      44: 1
      47: 1
      48: 1
      52: 1
      64: 1
      68: 1
      72: 1
      80: 1
      88: 1
     112: 1
     116: 1
     136: 1

137:   0: 1
       2: 1
       3: q+1
       4: q+1
       8: q+1
      23: 1
      24: q+1
      27: 1
      31: 1
      33: 1
      35: 1
      37: 1
      44: 1
      47: 1
      49: 1
      53: 1
      64: 1
      68: 1
      72: 1
      81: 1
      89: 1
     112: 1
     116: 1
     137: 1

138:   1: 1
       6: 1
       7: q+1
      11: 1
      25: 1
      28: 1
      32: 1
      36: 1
      50: 1
      65: 1
      69: 1
      73: 1
      90: 1
     113: 1
     117: 1
     138: 1

139:   1: 1
       6: 1
       7: q+1
      11: 1
      25: 1
      28: 1
      32: 1
      36: 1
      51: 1
      65: 1
      69: 1
      73: 1
      91: 1
     113: 1
     117: 1
     139: 1

140:   0: q+1
       2: q+1
       4: 1
       8: 1
      12: q+1
      23: q+1
      24: 1
      30: 1
      31: 1
      33: 1
      35: 1
      37: 1
      44: 1
      47: 1
      48: 1
      52: 1
      66: 1
      70: 1
      74: 1
      80: 1
      92: 1
     114: 1
     118: 1
     140: 1

141:   0: q+1
       2: q+1
       4: 1
       8: 1
      12: q+1
      23: q+1
      24: 1
      30: 1
      31: 1
      33: 1
      35: 1
      37: 1
      44: 1
      47: 1
      49: 1
      53: 1
      66: 1
      70: 1
      74: 1
      81: 1
      93: 1
     114: 1
     118: 1
     141: 1

142:   5: 1
       9: 1
      10: q+1
      13: 1
      26: 1
      29: 1
      34: 1
      38: 1
      54: 1
      67: 1
      71: 1
      75: 1
      94: 1
     115: 1
     119: 1
     142: 1

143:   5: 1
       9: 1
      10: q+1
      13: 1
      26: 1
      29: 1
      34: 1
      38: 1
      55: 1
      67: 1
      71: 1
      75: 1
      95: 1
     115: 1
     119: 1
     143: 1

144:   0: 1
       1: 1
       3: 1
       5: q+1
       6: 1
       9: q+1
      11: q+1
      13: 1
      14: 1
      15: 1
      16: 1
      18: 1
      19: 1
      20: 1
      22: 1
      25: 1
      26: 1
      27: 1
      28: 1
      29: q+1
      39: 1
      40: 1
      41: 1
      56: 1
      57: 1
      59: 1
      62: 1
      63: 1
      65: 1
      67: 1
      82: 1
      84: 1
      85: 1
     109: 1
     111: 1
     144: 1

145:   0: 1
       1: 1
       2: 1
       3: 1
       6: 1
      11: 1
      19: 1
      20: 1
      23: 1
      25: 1
      27: 1
      28: 1
      41: 1
      60: 1
      62: 1
      64: 1
      65: 1
      83: 1
     108: 1
     109: 1
     145: 1

146:   0: 1
       1: 1
       2: q+1
       3: 1
       4: q+1
       6: 1
       7: q+1
       8: 1
      12: 1
      19: 1
      20: 1
      21: q+1
      23: 1
      24: 1
      27: 1
      28: 1
      30: 1
      35: 1
      36: 1
      37: 1
      41: 1
      46: 1
      47: 1
      60: 1
      61: 1
      64: 1
      66: 1
      72: 1
      73: 1
      74: 1
      86: 1
     101: 1
     103: 1
     108: 1
     110: 1
     146: 1

147:   0: 1
       1: 1
       2: q+1
       3: 1
       4: q+1
       6: 1
       7: q+1
       8: 1
      12: 1
      19: 1
      20: 1
      21: q+1
      23: 1
      24: 1
      27: 1
      28: 1
      30: 1
      31: 1
      32: 1
      33: 1
      41: 1
      43: 1
      44: 1
      60: 1
      61: 1
      64: 1
      66: 1
      68: 1
      69: 1
      70: 1
      87: 1
      97: 1
      99: 1
     108: 1
     110: 1
     147: 1

148:   0: 1
       1: 1
       2: 1
       4: 1
       5: 1
       7: 1
       8: 1
      10: 1
      15: 1
      17: 1
      19: 1
      21: 1
      23: 1
      24: 1
      31: 1
      32: 1
      33: 1
      34: 1
      42: 1
      43: 1
      44: 1
      56: 1
      58: 1
      60: 1
      61: 1
      96: 1
      97: 1
     104: 1
     105: 1
     148: 1

149:   0: 1
       1: q+1
       2: 1
       3: q+1
       4: 1
       6: 1
       7: q+1
       8: 1
      11: 1
      19: 1
      20: 1
      21: 1
      23: 1
      24: 1
      25: 1
      27: 1
      28: 1
      31: 1
      32: q+1
      33: 1
      41: 1
      43: 1
      44: 1
      60: 1
      61: 1
      62: 1
      64: 1
      65: 1
      68: 1
      69: 1
      83: 1
      97: 1
      99: 1
     112: 1
     113: 1
     149: 1

150:   1: 1
       5: 1
       6: 1
       7: 1
       9: 1
      10: 1
      11: 1
      13: 1
      15: 1
      16: 1
      17: 1
      18: 1
      25: 1
      26: 1
      28: 1
      29: 1
      32: 1
      34: 1
      39: 1
      40: 1
      42: 1
      65: 1
      67: 1
      69: 1
      71: 1
      85: 1
      98: 1
     113: 1
     115: 1
     150: 1

151:   0: q+2
       2: q+2
       3: q+1
       4: q+2
       8: q+2
      12: q+1
      23: 2
      24: 2
      27: 1
      30: 1
      31: q+2
      33: q+2
      35: 2
      37: 2
      44: 2
      47: 2
      48: 1
      49: 1
      52: 1
      53: 1
      64: 1
      66: 1
      68: 1
      70: 1
      72: 1
      74: 1
      80: 1
      81: 1
      86: 1
     112: 1
     114: 1
     120: 1
     122: 1
     151: 1

152:   0: 1
       1: 1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
       9: 1
      10: 1
      15: 1
      16: 1
      17: 1
      19: 1
      20: 1
      21: 1
      27: 1
      28: 1
      29: 1
      31: 1
      32: 1
      34: 1
      40: 1
      41: 1
      42: 1
      43: 1
      56: 1
      57: 1
      58: 1
      68: 1
      69: 1
      71: 1
      84: 1
      96: 1
      98: 1
      99: 1
     152: 1

153:   0: 1
       2: 1
       3: 1
       4: 1
       8: 1
      12: 1
      23: 1
      24: 1
      27: 1
      30: 1
      31: 1
      33: 1
      44: 1
      64: 1
      66: 1
      68: 1
      70: 1
      87: 1
     112: 1
     114: 1
     153: 1

154:   0: 1
       1: 1
       2: 1
       4: 1
       5: 1
       7: 1
       8: 1
      10: 1
      15: 1
      17: 1
      19: 1
      21: 1
      23: 1
      24: 1
      35: 1
      36: 1
      37: 1
      38: 1
      45: 1
      46: 1
      47: 1
      56: 1
      58: 1
      60: 1
      61: 1
     100: 1
     101: 1
     104: 1
     105: 1
     154: 1

155:   0: 1
       1: q+1
       2: 1
       3: q+1
       4: 1
       6: 1
       7: q+1
       8: 1
      11: 1
      19: 1
      20: 1
      21: 1
      23: 1
      24: 1
      25: 1
      27: 1
      28: 1
      35: 1
      36: q+1
      37: 1
      41: 1
      46: 1
      47: 1
      60: 1
      61: 1
      62: 1
      64: 1
      65: 1
      72: 1
      73: 1
      83: 1
     101: 1
     103: 1
     116: 1
     117: 1
     155: 1

156:   1: 1
       5: 1
       6: 1
       7: 1
       9: 1
      10: 1
      11: 1
      13: 1
      15: 1
      16: 1
      17: 1
      18: 1
      25: 1
      26: 1
      28: 1
      29: 1
      36: 1
      38: 1
      39: 1
      40: 1
      45: 1
      65: 1
      67: 1
      73: 1
      75: 1
      85: 1
     102: 1
     117: 1
     119: 1
     156: 1

157:   0: 1
       1: 1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
       9: 1
      10: 1
      15: 1
      16: 1
      17: 1
      19: 1
      20: 1
      21: 1
      27: 1
      28: 1
      29: 1
      35: 1
      36: 1
      38: 1
      40: 1
      41: 1
      45: 1
      46: 1
      56: 1
      57: 1
      58: 1
      72: 1
      73: 1
      75: 1
      84: 1
     100: 1
     102: 1
     103: 1
     157: 1

158:   0: 1
       2: 1
       3: 1
       4: 1
       8: 1
      12: 1
      23: 1
      24: 1
      27: 1
      30: 1
      35: 1
      37: 1
      47: 1
      64: 1
      66: 1
      72: 1
      74: 1
      86: 1
     116: 1
     118: 1
     158: 1

159:   0: q+2
       2: q+2
       3: q+1
       4: q+2
       8: q+2
      12: q+1
      23: 2
      24: 2
      27: 1
      30: 1
      31: 2
      33: 2
      35: q+2
      37: q+2
      44: 2
      47: 2
      48: 1
      49: 1
      52: 1
      53: 1
      64: 1
      66: 1
      68: 1
      70: 1
      72: 1
      74: 1
      80: 1
      81: 1
      87: 1
     116: 1
     118: 1
     120: 1
     122: 1
     159: 1

160:   1: 2
       5: 2
       6: q+1
       7: 2
       9: q+1
      10: 2
      15: 2
      16: q+1
      17: 2
      28: 1
      29: 1
      32: 2
      34: 2
      36: 2
      38: 2
      40: 1
      42: 2
      45: 2
      50: 1
      51: 1
      54: 1
      55: 1
      69: 1
      71: 1
      73: 1
      75: 1
      76: 1
      77: 1
      98: 1
     102: 1
     121: 1
     123: 1
     160: 1

161:   0: 2
       1: 2
       3: q+1
       4: 2
       6: q+1
       7: 2
      19: 2
      20: q+1
      21: 2
      27: 1
      28: 1
      31: 2
      32: 2
      35: 2
      36: 2
      41: 1
      43: 2
      46: 2
      48: 1
      49: 1
      50: 1
      51: 1
      68: 1
      69: 1
      72: 1
      73: 1
      78: 1
      79: 1
      99: 1
     103: 1
     120: 1
     121: 1
     161: 1

162:   0: 1
       3: 1
       4: 1
      27: 1
      31: 1
      35: 1
      48: 1
      68: 1
      72: 1
      88: 1
     120: 1
     162: 1

163:   0: 1
       3: 1
       4: 1
      27: 1
      31: 1
      35: 1
      49: 1
      68: 1
      72: 1
      89: 1
     120: 1
     163: 1

164:   1: 1
       6: 1
       7: 1
      28: 1
      32: 1
      36: 1
      50: 1
      69: 1
      73: 1
      90: 1
     121: 1
     164: 1

165:   1: 1
       6: 1
       7: 1
      28: 1
      32: 1
      36: 1
      51: 1
      69: 1
      73: 1
      91: 1
     121: 1
     165: 1

166:   2: 1
       8: 1
      12: 1
      30: 1
      33: 1
      37: 1
      52: 1
      70: 1
      74: 1
      92: 1
     122: 1
     166: 1

167:   2: 1
       8: 1
      12: 1
      30: 1
      33: 1
      37: 1
      53: 1
      70: 1
      74: 1
      93: 1
     122: 1
     167: 1

168:   5: 1
       9: 1
      10: 1
      29: 1
      34: 1
      38: 1
      54: 1
      71: 1
      75: 1
      94: 1
     123: 1
     168: 1

169:   5: 1
       9: 1
      10: 1
      29: 1
      34: 1
      38: 1
      55: 1
      71: 1
      75: 1
      95: 1
     123: 1
     169: 1

170:   0: 1
       1: 1
       2: q+1
       3: 1
       5: 1
       6: 1
       9: 1
      15: 1
      16: 1
      19: 1
      20: 1
      23: 1
      27: 1
      28: 1
      29: 1
      40: 1
      41: 1
      56: 1
      57: 1
      60: 1
      64: 1
      84: 1
     104: 1
     108: 1
     170: 1

171:   0: q+1
       1: 1
       3: q+1
       5: 1
       6: 1
       9: 1
      11: q+1
      13: q+1
      15: 1
      16: 1
      18: q+1
      19: 1
      20: 1
      25: 1
      26: 1
      27: q+1
      28: 1
      29: 1
      39: 1
      40: 1
      41: 1
      56: 1
      57: 1
      62: 1
      65: 1
      67: 1
      84: 1
      85: 1
     106: 1
     109: 1
     171: 1

172:   4: 1
       7: 1
       8: 1
      10: 1
      12: 1
      17: 1
      21: 1
      24: 1
      30: 1
      58: 1
      61: 1
      66: 1
     105: 1
     110: 1
     172: 1

173:   1: 1
       5: 1
       6: 1
       9: 1
      11: 1
      13: 1
      14: q+1
      15: 1
      16: 1
      18: 1
      22: 1
      25: 1
      26: 1
      28: 1
      29: 1
      39: 1
      40: 1
      59: 1
      63: 1
      65: 1
      67: 1
      85: 1
     107: 1
     111: 1
     173: 1

174:   0: 1
       1: 1
       2: q+1
       3: q+1
       4: 1
       6: q+1
       7: 1
       8: q+1
      19: 1
      20: q+1
      21: 1
      23: 1
      24: 1
      27: 1
      28: 1
      31: 1
      32: 1
      33: q+1
      41: 1
      43: 1
      44: 1
      60: 1
      61: 1
      64: 1
      68: 1
      69: 1
      97: 1
      99: 1
     108: 1
     112: 1
     174: 1

175:   0: 1
       1: 1
       3: 1
       4: 1
       6: 1
       7: 1
      11: q+1
      19: 1
      20: 1
      21: 1
      25: 1
      27: 1
      28: 1
      31: 1
      32: 1
      41: 1
      43: 1
      62: 1
      65: 1
      68: 1
      69: 1
      99: 1
     109: 1
     113: 1
     175: 1

176:   0: 1
       1: 1
       2: 1
       4: 1
       7: 1
       8: 1
      12: q+1
      19: 1
      21: 1
      23: 1
      24: 1
      30: 1
      31: 1
      32: 1
      33: 1
      43: 1
      44: 1
      60: 1
      61: 1
      66: 1
      70: 1
      97: 1
     110: 1
     114: 1
     176: 1

177:   5: 1
       9: 1
      10: 1
      13: 1
      14: 1
      22: 1
      26: 1
      29: 1
      34: 1
      63: 1
      67: 1
      71: 1
     111: 1
     115: 1
     177: 1

178:   0: 1
       1: 1
       2: q+1
       3: q+1
       4: 1
       6: q+1
       7: 1
       8: q+1
      19: 1
      20: q+1
      21: 1
      23: 1
      24: 1
      27: 1
      28: 1
      35: 1
      36: 1
      37: q+1
      41: 1
      46: 1
      47: 1
      60: 1
      61: 1
      64: 1
      72: 1
      73: 1
     101: 1
     103: 1
     108: 1
     116: 1
     178: 1

179:   0: 1
       1: 1
       3: 1
       4: 1
       6: 1
       7: 1
      11: q+1
      19: 1
      20: 1
      21: 1
      25: 1
      27: 1
      28: 1
      35: 1
      36: 1
      41: 1
      46: 1
      62: 1
      65: 1
      72: 1
      73: 1
     103: 1
     109: 1
     117: 1
     179: 1

180:   0: 1
       1: 1
       2: 1
       4: 1
       7: 1
       8: 1
      12: q+1
      19: 1
      21: 1
      23: 1
      24: 1
      30: 1
      35: 1
      36: 1
      37: 1
      46: 1
      47: 1
      60: 1
      61: 1
      66: 1
      74: 1
     101: 1
     110: 1
     118: 1
     180: 1

181:   5: 1
       9: 1
      10: 1
      13: 1
      14: 1
      22: 1
      26: 1
      29: 1
      38: 1
      63: 1
      67: 1
      75: 1
     111: 1
     119: 1
     181: 1

182:   0: 2
       2: 2
       3: 2q+1
       4: 2
       8: 2
      23: 2
      24: 2
      27: 1
      31: 2
      33: 2
      35: 2
      37: 2
      44: 2
      47: 2
      48: 1
      49: 1
      52: 1
      53: 1
      64: 1
      68: 1
      72: 1
      80: 1
      81: 1
     112: 1
     116: 1
     120: 1
     182: 1

183:   1: 2
       6: q+1
       7: 2
      11: q+1
      25: q+1
      28: 1
      32: 2
      36: 2
      50: 1
      51: 1
      65: 1
      69: 1
      73: 1
     113: 1
     117: 1
     121: 1
     183: 1

184:   0: 2
       2: 2
       4: 2
       8: 2
      12: 2q+1
      23: 2
      24: 2
      30: 1
      31: 2
      33: 2
      35: 2
      37: 2
      44: 2
      47: 2
      48: 1
      49: 1
      52: 1
      53: 1
      66: 1
      70: 1
      74: 1
      80: 1
      81: 1
     114: 1
     118: 1
     122: 1
     184: 1

185:   5: 2
       9: q+1
      10: 2
      13: q+1
      26: q+1
      29: 1
      34: 2
      38: 2
      54: 1
      55: 1
      67: 1
      71: 1
      75: 1
     115: 1
     119: 1
     123: 1
     185: 1

186:   0: 1
       1: q+1
       2: 1
       3: q+1
       4: q+1
       6: 1
       7: q^2+2q+1
       8: q+1
      11: 1
      19: 1
      20: 1
      21: q+1
      23: 1
      24: q+1
      25: 1
      27: 1
      28: 1
      31: 1
      32: q+1
      33: 1
      35: 1
      36: q+1
      37: 1
      41: 1
      43: 1
      44: 1
      46: 1
      47: 1
      48: 1
      50: q+1
      52: 1
      60: 1
      61: q+1
      62: 1
      64: 1
      65: 1
      68: 1
      69: 1
      72: 1
      73: 1
      78: 1
      80: 1
      83: 1
      88: 1
      90: 1
      97: 1
      99: 1
     101: 1
     103: 1
     112: 1
     113: 1
     116: 1
     117: 1
     128: 1
     132: 1
     136: 1
     138: 1
     149: 1
     155: 1
     186: 1

187:   0: 1
       1: q+1
       2: 1
       3: q+1
       4: q+1
       6: 1
       7: q^2+2q+1
       8: q+1
      11: 1
      19: 1
      20: 1
      21: q+1
      23: 1
      24: q+1
      25: 1
      27: 1
      28: 1
      31: 1
      32: q+1
      33: 1
      35: 1
      36: q+1
      37: 1
      41: 1
      43: 1
      44: 1
      46: 1
      47: 1
      49: 1
      51: q+1
      53: 1
      60: 1
      61: q+1
      62: 1
      64: 1
      65: 1
      68: 1
      69: 1
      72: 1
      73: 1
      79: 1
      81: 1
      83: 1
      89: 1
      91: 1
      97: 1
      99: 1
     101: 1
     103: 1
     112: 1
     113: 1
     116: 1
     117: 1
     129: 1
     133: 1
     137: 1
     139: 1
     149: 1
     155: 1
     187: 1

188:   1: 1
       5: 1
       6: 1
       7: q+1
       9: 1
      10: q+1
      11: 1
      13: 1
      15: 1
      16: 1
      17: q+1
      18: 1
      25: 1
      26: 1
      28: 1
      29: 1
      32: 1
      34: 1
      36: 1
      38: 1
      39: 1
      40: 1
      42: 1
      45: 1
      50: 1
      54: 1
      65: 1
      67: 1
      69: 1
      71: 1
      73: 1
      75: 1
      76: 1
      85: 1
      90: 1
      94: 1
      98: 1
     102: 1
     113: 1
     115: 1
     117: 1
     119: 1
     126: 1
     138: 1
     142: 1
     150: 1
     156: 1
     188: 1

189:   1: 1
       5: 1
       6: 1
       7: q+1
       9: 1
      10: q+1
      11: 1
      13: 1
      15: 1
      16: 1
      17: q+1
      18: 1
      25: 1
      26: 1
      28: 1
      29: 1
      32: 1
      34: 1
      36: 1
      38: 1
      39: 1
      40: 1
      42: 1
      45: 1
      51: 1
      55: 1
      65: 1
      67: 1
      69: 1
      71: 1
      73: 1
      75: 1
      77: 1
      85: 1
      91: 1
      95: 1
      98: 1
     102: 1
     113: 1
     115: 1
     117: 1
     119: 1
     127: 1
     139: 1
     143: 1
     150: 1
     156: 1
     189: 1

190:   0: q+1
       2: q+1
       3: q+1
       4: q+1
       8: q+1
      12: q+1
      23: q+1
      24: q+1
      27: q+1
      30: q+1
      31: 1
      33: 1
      35: 1
      37: 1
      44: 1
      47: 1
      48: 1
      52: 1
      64: q+1
      66: q+1
      68: 1
      70: 1
      72: 1
      74: 1
      80: 1
      86: 1
      87: 1
      88: 1
      92: 1
     112: 1
     114: 1
     116: 1
     118: 1
     124: 1
     136: 1
     140: 1
     153: 1
     158: 1
     190: 1

191:   0: q+1
       2: q+1
       3: q+1
       4: q+1
       8: q+1
      12: q+1
      23: q+1
      24: q+1
      27: q+1
      30: q+1
      31: 1
      33: 1
      35: 1
      37: 1
      44: 1
      47: 1
      49: 1
      53: 1
      64: q+1
      66: q+1
      68: 1
      70: 1
      72: 1
      74: 1
      81: 1
      86: 1
      87: 1
      89: 1
      93: 1
     112: 1
     114: 1
     116: 1
     118: 1
     125: 1
     137: 1
     141: 1
     153: 1
     158: 1
     191: 1

192:   0: 1
       1: 1
       2: q+1
       3: 1
       4: q+1
       6: 1
       7: q+1
       8: 1
      12: 1
      19: 1
      20: 1
      21: q+1
      23: 1
      24: 1
      27: 1
      28: 1
      30: 1
      31: 1
      32: 1
      33: 1
      35: 1
      36: 1
      37: 1
      41: 1
      43: 1
      44: 1
      46: 1
      47: 1
      48: 1
      50: 1
      52: 1
      60: 1
      61: 1
      64: 1
      66: 1
      68: 1
      69: 1
      70: 1
      72: 1
      73: 1
      74: 1
      78: 1
      80: 1
      86: 1
      87: 1
      88: 1
      90: 1
      92: 1
      97: 1
      99: 1
     101: 1
     103: 1
     108: 1
     110: 1
     124: 1
     128: 1
     132: 1
     146: 1
     147: 1
     192: 1

193:   0: 1
       1: 1
       2: q+1
       3: 1
       4: q+1
       6: 1
       7: q+1
       8: 1
      12: 1
      19: 1
      20: 1
      21: q+1
      23: 1
      24: 1
      27: 1
      28: 1
      30: 1
      31: 1
      32: 1
      33: 1
      35: 1
      36: 1
      37: 1
      41: 1
      43: 1
      44: 1
      46: 1
      47: 1
      49: 1
      51: 1
      53: 1
      60: 1
      61: 1
      64: 1
      66: 1
      68: 1
      69: 1
      70: 1
      72: 1
      73: 1
      74: 1
      79: 1
      81: 1
      86: 1
      87: 1
      89: 1
      91: 1
      93: 1
      97: 1
      99: 1
     101: 1
     103: 1
     108: 1
     110: 1
     125: 1
     129: 1
     133: 1
     146: 1
     147: 1
     193: 1

194:   0: 1
       1: 1
       3: 1
       4: q+1
       5: 1
       6: 1
       7: q+1
       9: 1
      10: q+1
      15: 1
      16: 1
      17: q+1
      19: 1
      20: 1
      21: q+1
      27: 1
      28: 1
      29: 1
      31: 1
      32: 1
      34: 1
      35: 1
      36: 1
      38: 1
      40: 1
      41: 1
      42: 1
      43: 1
      45: 1
      46: 1
      48: 1
      50: 1
      54: 1
      56: 1
      57: 1
      58: q+1
      68: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: 1
      76: 1
      78: 1
      84: 1
      88: 1
      90: 1
      94: 1
      96: 1
      98: 1
      99: 1
     100: 1
     102: 1
     103: 1
     126: 1
     128: 1
     130: 1
     152: 1
     157: 1
     194: 1

195:   0: 1
       1: 1
       3: 1
       4: q+1
       5: 1
       6: 1
       7: q+1
       9: 1
      10: q+1
      15: 1
      16: 1
      17: q+1
      19: 1
      20: 1
      21: q+1
      27: 1
      28: 1
      29: 1
      31: 1
      32: 1
      34: 1
      35: 1
      36: 1
      38: 1
      40: 1
      41: 1
      42: 1
      43: 1
      45: 1
      46: 1
      49: 1
      51: 1
      55: 1
      56: 1
      57: 1
      58: q+1
      68: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: 1
      77: 1
      79: 1
      84: 1
      89: 1
      91: 1
      95: 1
      96: 1
      98: 1
      99: 1
     100: 1
     102: 1
     103: 1
     127: 1
     129: 1
     131: 1
     152: 1
     157: 1
     195: 1

196:   0: q+1
       2: q+1
       3: q+1
       4: q+1
       8: q+1
      12: q+1
      23: 1
      24: 1
      27: q+1
      30: q+1
      31: q+1
      33: q+1
      35: 1
      37: 1
      44: 1
      47: 1
      48: 1
      52: 1
      64: 1
      66: 1
      68: q+1
      70: q+1
      72: 1
      74: 1
      80: 1
      86: 1
      87: 1
      88: 1
      92: 1
     112: 1
     114: 1
     120: 1
     122: 1
     124: 1
     151: 1
     153: 1
     162: 1
     166: 1
     196: 1

197:   0: q+1
       2: q+1
       3: q+1
       4: q+1
       8: q+1
      12: q+1
      23: 1
      24: 1
      27: q+1
      30: q+1
      31: q+1
      33: q+1
      35: 1
      37: 1
      44: 1
      47: 1
      49: 1
      53: 1
      64: 1
      66: 1
      68: q+1
      70: q+1
      72: 1
      74: 1
      81: 1
      86: 1
      87: 1
      89: 1
      93: 1
     112: 1
     114: 1
     120: 1
     122: 1
     125: 1
     151: 1
     153: 1
     163: 1
     167: 1
     197: 1

198:   0: q+1
       2: q+1
       3: q+1
       4: q+1
       8: q+1
      12: q+1
      23: 1
      24: 1
      27: q+1
      30: q+1
      31: 1
      33: 1
      35: q+1
      37: q+1
      44: 1
      47: 1
      48: 1
      52: 1
      64: 1
      66: 1
      68: 1
      70: 1
      72: q+1
      74: q+1
      80: 1
      86: 1
      87: 1
      88: 1
      92: 1
     116: 1
     118: 1
     120: 1
     122: 1
     124: 1
     158: 1
     159: 1
     162: 1
     166: 1
     198: 1

199:   0: q+1
       2: q+1
       3: q+1
       4: q+1
       8: q+1
      12: q+1
      23: 1
      24: 1
      27: q+1
      30: q+1
      31: 1
      33: 1
      35: q+1
      37: q+1
      44: 1
      47: 1
      49: 1
      53: 1
      64: 1
      66: 1
      68: 1
      70: 1
      72: q+1
      74: q+1
      81: 1
      86: 1
      87: 1
      89: 1
      93: 1
     116: 1
     118: 1
     120: 1
     122: 1
     125: 1
     158: 1
     159: 1
     163: 1
     167: 1
     199: 1

200:   0: 1
       1: 1
       2: 1
       4: 1
       5: 1
       7: 1
       8: 1
      10: 1
      15: 1
      17: 1
      19: 1
      21: 1
      23: 1
      24: 1
      31: 1
      32: 1
      33: 1
      34: 1
      35: 1
      36: 1
      37: 1
      38: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      48: 1
      50: 1
      52: 1
      54: 1
      56: 1
      58: 1
      60: 1
      61: 1
      76: 1
      78: 1
      80: 1
      96: 1
      97: 1
     100: 1
     101: 1
     104: 1
     105: 1
     130: 1
     132: 1
     148: 1
     154: 1
     200: 1

201:   0: 1
       1: 1
       2: 1
       4: 1
       5: 1
       7: 1
       8: 1
      10: 1
      15: 1
      17: 1
      19: 1
      21: 1
      23: 1
      24: 1
      31: 1
      32: 1
      33: 1
      34: 1
      35: 1
      36: 1
      37: 1
      38: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      49: 1
      51: 1
      53: 1
      55: 1
      56: 1
      58: 1
      60: 1
      61: 1
      77: 1
      79: 1
      81: 1
      96: 1
      97: 1
     100: 1
     101: 1
     104: 1
     105: 1
     131: 1
     133: 1
     148: 1
     154: 1
     201: 1

202:   1: 1
       5: 1
       6: 1
       7: 1
       9: 1
      10: 1
      15: 1
      16: 1
      17: 1
      28: 1
      29: 1
      32: 1
      34: 1
      36: 1
      38: 1
      40: 1
      42: 1
      45: 1
      50: 1
      54: 1
      69: 1
      71: 1
      73: 1
      75: 1
      76: 1
      90: 1
      94: 1
      98: 1
     102: 1
     121: 1
     123: 1
     126: 1
     160: 1
     164: 1
     168: 1
     202: 1

203:   1: 1
       5: 1
       6: 1
       7: 1
       9: 1
      10: 1
      15: 1
      16: 1
      17: 1
      28: 1
      29: 1
      32: 1
      34: 1
      36: 1
      38: 1
      40: 1
      42: 1
      45: 1
      51: 1
      55: 1
      69: 1
      71: 1
      73: 1
      75: 1
      77: 1
      91: 1
      95: 1
      98: 1
     102: 1
     121: 1
     123: 1
     127: 1
     160: 1
     165: 1
     169: 1
     203: 1

204:   0: 1
       1: 1
       3: 1
       4: 1
       6: 1
       7: 1
      19: 1
      20: 1
      21: 1
      27: 1
      28: 1
      31: 1
      32: 1
      35: 1
      36: 1
      41: 1
      43: 1
      46: 1
      48: 1
      50: 1
      68: 1
      69: 1
      72: 1
      73: 1
      78: 1
      88: 1
      90: 1
      99: 1
     103: 1
     120: 1
     121: 1
     128: 1
     161: 1
     162: 1
     164: 1
     204: 1

205:   0: 1
       1: 1
       3: 1
       4: 1
       6: 1
       7: 1
      19: 1
      20: 1
      21: 1
      27: 1
      28: 1
      31: 1
      32: 1
      35: 1
      36: 1
      41: 1
      43: 1
      46: 1
      49: 1
      51: 1
      68: 1
      69: 1
      72: 1
      73: 1
      79: 1
      89: 1
      91: 1
      99: 1
     103: 1
     120: 1
     121: 1
     129: 1
     161: 1
     163: 1
     165: 1
     205: 1

206:   0: 1
       1: 1
       2: q+1
       3: q+1
       4: q+1
       6: q+1
       7: q+1
       8: q^2+2q+1
      19: 1
      20: q+1
      21: q+1
      23: 1
      24: q+1
      27: 1
      28: 1
      31: 1
      32: 1
      33: q+1
      35: 1
      36: 1
      37: q+1
      41: 1
      43: 1
      44: 1
      46: 1
      47: 1
      48: 1
      50: 1
      52: q+1
      60: 1
      61: q+1
      64: 1
      68: 1
      69: 1
      72: 1
      73: 1
      78: 1
      80: 1
      88: 1
      90: 1
      97: 1
      99: 1
     101: 1
     103: 1
     108: 1
     112: 1
     116: 1
     128: 1
     132: 1
     136: 1
     174: 1
     178: 1
     206: 1

207:   0: 1
       1: 1
       2: q+1
       3: q+1
       4: q+1
       6: q+1
       7: q+1
       8: q^2+2q+1
      19: 1
      20: q+1
      21: q+1
      23: 1
      24: q+1
      27: 1
      28: 1
      31: 1
      32: 1
      33: q+1
      35: 1
      36: 1
      37: q+1
      41: 1
      43: 1
      44: 1
      46: 1
      47: 1
      49: 1
      51: 1
      53: q+1
      60: 1
      61: q+1
      64: 1
      68: 1
      69: 1
      72: 1
      73: 1
      79: 1
      81: 1
      89: 1
      91: 1
      97: 1
      99: 1
     101: 1
     103: 1
     108: 1
     112: 1
     116: 1
     129: 1
     133: 1
     137: 1
     174: 1
     178: 1
     207: 1

208:   0: 1
       1: 1
       3: 1
       4: q+1
       6: 1
       7: q+1
      11: q+1
      19: 1
      20: 1
      21: q+1
      25: 1
      27: 1
      28: 1
      31: 1
      32: 1
      35: 1
      36: 1
      41: 1
      43: 1
      46: 1
      48: 1
      50: 1
      62: 1
      65: 1
      68: 1
      69: 1
      72: 1
      73: 1
      78: 1
      88: 1
      90: 1
      99: 1
     103: 1
     109: 1
     113: 1
     117: 1
     128: 1
     138: 1
     175: 1
     179: 1
     208: 1

209:   0: 1
       1: 1
       3: 1
       4: q+1
       6: 1
       7: q+1
      11: q+1
      19: 1
      20: 1
      21: q+1
      25: 1
      27: 1
      28: 1
      31: 1
      32: 1
      35: 1
      36: 1
      41: 1
      43: 1
      46: 1
      49: 1
      51: 1
      62: 1
      65: 1
      68: 1
      69: 1
      72: 1
      73: 1
      79: 1
      89: 1
      91: 1
      99: 1
     103: 1
     109: 1
     113: 1
     117: 1
     129: 1
     139: 1
     175: 1
     179: 1
     209: 1

210:   0: q+1
       1: q+1
       2: q+1
       4: 1
       7: 1
       8: 1
      12: q^2+q+1
      19: q+1
      21: 1
      23: q+1
      24: 1
      30: 1
      31: 1
      32: 1
      33: 1
      35: 1
      36: 1
      37: 1
      43: 1
      44: 1
      46: 1
      47: 1
      48: 1
      50: 1
      52: 1
      60: q+1
      61: 1
      66: 1
      70: 1
      74: 1
      78: 1
      80: 1
      92: 1
      97: 1
     101: 1
     110: 1
     114: 1
     118: 1
     132: 1
     140: 1
     176: 1
     180: 1
     210: 1

211:   0: q+1
       1: q+1
       2: q+1
       4: 1
       7: 1
       8: 1
      12: q^2+q+1
      19: q+1
      21: 1
      23: q+1
      24: 1
      30: 1
      31: 1
      32: 1
      33: 1
      35: 1
      36: 1
      37: 1
      43: 1
      44: 1
      46: 1
      47: 1
      49: 1
      51: 1
      53: 1
      60: q+1
      61: 1
      66: 1
      70: 1
      74: 1
      79: 1
      81: 1
      93: 1
      97: 1
     101: 1
     110: 1
     114: 1
     118: 1
     133: 1
     141: 1
     176: 1
     180: 1
     211: 1

212:   5: 1
       9: 1
      10: q+1
      13: 1
      14: 1
      22: 1
      26: 1
      29: 1
      34: 1
      38: 1
      54: 1
      63: 1
      67: 1
      71: 1
      75: 1
      94: 1
     111: 1
     115: 1
     119: 1
     142: 1
     177: 1
     181: 1
     212: 1

213:   5: 1
       9: 1
      10: q+1
      13: 1
      14: 1
      22: 1
      26: 1
      29: 1
      34: 1
      38: 1
      55: 1
      63: 1
      67: 1
      71: 1
      75: 1
      95: 1
     111: 1
     115: 1
     119: 1
     143: 1
     177: 1
     181: 1
     213: 1

214:   0: 1
       1: 1
       2: 1
       3: q+1
       5: q^2+1
       6: q+1
       9: 1
      11: q+1
      13: 1
      14: 1
      15: 1
      16: 1
      18: 1
      19: 1
      20: q+1
      22: 1
      23: 1
      25: q+1
      26: 1
      27: 1
      28: 1
      29: 1
      39: 1
      40: 1
      41: 1
      56: 1
      57: 1
      59: 1
      60: 1
      62: q+1
      63: 1
      64: 1
      65: 1
      67: 1
      82: 1
      83: 1
      84: 1
      85: 1
     104: 1
     106: 1
     107: 1
     108: 1
     109: 1
     111: 1
     134: 1
     135: 1
     144: 1
     145: 1
     214: 1

215:   0: 1
       1: 1
       3: 1
       5: 1
       6: 1
       9: 1
      11: q+1
      13: q+1
      14: q+1
      15: 1
      16: 1
      18: q+1
      19: 1
      20: 1
      22: q+1
      25: 1
      26: 1
      27: 1
      28: 1
      29: 1
      39: 1
      40: 1
      41: 1
      56: 1
      57: 1
      59: q+1
      62: 1
      63: 1
      65: 1
      67: 1
      82: 1
      84: 1
      85: 1
     106: 1
     107: 1
     109: 1
     111: 1
     134: 1
     144: 1
     171: 1
     173: 1
     215: 1

216:   0: q+1
       1: 1
       2: q+1
       3: q+1
       5: 1
       6: 1
       9: 1
      11: 1
      13: 1
      15: 1
      16: 1
      18: 1
      19: 1
      20: 1
      23: q+1
      25: 1
      26: 1
      27: q+1
      28: 1
      29: 1
      39: 1
      40: 1
      41: 1
      56: 1
      57: 1
      60: 1
      62: 1
      64: q+1
      65: 1
      67: 1
      83: 1
      84: 1
      85: 1
     104: 1
     106: 1
     108: 1
     109: 1
     135: 1
     145: 1
     170: 1
     171: 1
     216: 1

217:   0: 1
       1: 1
       2: q+1
       3: 1
       4: q+1
       5: 1
       6: 1
       7: q+1
       8: 1
       9: 1
      10: q+1
      12: 1
      15: 1
      16: 1
      17: q+1
      19: 1
      20: 1
      21: q+1
      23: 1
      24: 1
      27: 1
      28: 1
      29: 1
      30: 1
      35: 1
      36: 1
      37: 1
      38: 1
      40: 1
      41: 1
      45: 1
      46: 1
      47: 1
      56: 1
      57: 1
      58: q+1
      60: 1
      61: 1
      64: 1
      66: 1
      72: 1
      73: 1
      74: 1
      75: 1
      84: 1
      86: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     108: 1
     110: 1
     146: 1
     154: 1
     157: 1
     170: 1
     172: 1
     217: 1

218:   0: q+1
       1: 1
       2: q+1
       3: q+1
       4: 1
       6: 1
       7: q^2+1
       8: 1
      11: 1
      12: 1
      19: 1
      20: 1
      21: 1
      23: q+1
      24: 1
      25: 1
      27: q+1
      28: 1
      30: 1
      35: 1
      36: 1
      37: 1
      41: 1
      46: 1
      47: 1
      60: 1
      61: 1
      62: 1
      64: q+1
      65: 1
      66: 1
      72: 1
      73: 1
      74: 1
      83: 1
      86: 1
     101: 1
     103: 1
     108: 1
     109: 1
     110: 1
     116: 1
     117: 1
     118: 1
     145: 1
     146: 1
     155: 1
     158: 1
     218: 1

219:   0: 1
       1: 1
       2: q+1
       3: 1
       4: q+1
       5: 1
       6: 1
       7: q+1
       8: 1
       9: 1
      10: q+1
      12: 1
      15: 1
      16: 1
      17: q+1
      19: 1
      20: 1
      21: q+1
      23: 1
      24: 1
      27: 1
      28: 1
      29: 1
      30: 1
      31: 1
      32: 1
      33: 1
      34: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      56: 1
      57: 1
      58: q+1
      60: 1
      61: 1
      64: 1
      66: 1
      68: 1
      69: 1
      70: 1
      71: 1
      84: 1
      87: 1
      96: 1
      97: 1
      98: 1
      99: 1
     104: 1
     105: 1
     108: 1
     110: 1
     147: 1
     148: 1
     152: 1
     170: 1
     172: 1
     219: 1

220:   0: q+1
       1: 1
       2: q+1
       3: q+1
       4: 1
       6: 1
       7: q^2+1
       8: 1
      11: 1
      12: 1
      19: 1
      20: 1
      21: 1
      23: q+1
      24: 1
      25: 1
      27: q+1
      28: 1
      30: 1
      31: 1
      32: 1
      33: 1
      41: 1
      43: 1
      44: 1
      60: 1
      61: 1
      62: 1
      64: q+1
      65: 1
      66: 1
      68: 1
      69: 1
      70: 1
      83: 1
      87: 1
      97: 1
      99: 1
     108: 1
     109: 1
     110: 1
     112: 1
     113: 1
     114: 1
     145: 1
     147: 1
     149: 1
     153: 1
     220: 1

221:   0: 1
       1: q+1
       2: 1
       3: q+1
       4: 1
       5: q+1
       6: 1
       7: q+1
       8: 1
       9: 1
      10: q+1
      11: 1
      13: 1
      15: q+1
      16: 1
      17: q+1
      18: 1
      19: 1
      20: 1
      21: 1
      23: 1
      24: 1
      25: 1
      26: 1
      27: 1
      28: 1
      29: 1
      31: 1
      32: q+1
      33: 1
      34: q+1
      39: 1
      40: 1
      41: 1
      42: q+1
      43: 1
      44: 1
      56: 1
      57: 1
      58: 1
      60: 1
      61: 1
      62: 1
      64: 1
      65: 1
      67: 1
      68: 1
      69: 1
      71: 1
      83: 1
      84: 1
      85: 1
      96: 1
      97: 1
      98: 1
      99: 1
     104: 1
     105: 1
     106: 1
     112: 1
     113: 1
     115: 1
     135: 1
     148: 1
     149: 1
     150: 1
     152: 1
     221: 1

222:   0: 1
       1: 1
       3: 1
       4: 1
       5: q+1
       6: 1
       7: 1
       9: q+1
      10: q+1
      11: q+1
      13: 1
      14: 1
      15: 1
      16: 1
      17: 1
      18: 1
      19: 1
      20: 1
      21: 1
      22: 1
      25: 1
      26: 1
      27: 1
      28: 1
      29: q+1
      31: 1
      32: 1
      34: q+1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      56: 1
      57: 1
      58: 1
      59: 1
      62: 1
      63: 1
      65: 1
      67: 1
      68: 1
      69: 1
      71: q+1
      82: 1
      84: 1
      85: 1
      96: 1
      98: 1
      99: 1
     109: 1
     111: 1
     113: 1
     115: 1
     144: 1
     150: 1
     152: 1
     175: 1
     177: 1
     222: 1

223:   0: 1
       1: 1
       2: 1
       3: q+1
       4: 1
       6: q+1
       7: 1
       8: 1
      11: q+1
      19: 1
      20: q+1
      21: 1
      23: 1
      24: 1
      25: q+1
      27: 1
      28: 1
      31: 1
      32: 1
      33: 1
      41: 1
      43: 1
      44: 1
      60: 1
      61: 1
      62: q+1
      64: 1
      65: 1
      68: 1
      69: 1
      83: 1
      97: 1
      99: 1
     108: 1
     109: 1
     112: 1
     113: 1
     145: 1
     149: 1
     174: 1
     175: 1
     223: 1

224:   0: q+2
       1: q+2
       2: q+2
       3: q+1
       4: q+2
       6: q+1
       7: q+2
       8: q+2
      12: q+1
      19: q+2
      20: q+1
      21: q+2
      23: 2
      24: 2
      27: 1
      28: 1
      30: 1
      31: q+2
      32: q+2
      33: q+2
      35: 2
      36: 2
      37: 2
      41: 1
      43: q+2
      44: 2
      46: 2
      47: 2
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      60: 2
      61: 2
      64: 1
      66: 1
      68: 1
      69: 1
      70: 1
      72: 1
      73: 1
      74: 1
      78: 1
      79: 1
      80: 1
      81: 1
      86: 1
      97: 2
      99: 1
     101: 2
     103: 1
     108: 1
     110: 1
     112: 1
     114: 1
     120: 1
     121: 1
     122: 1
     132: 1
     133: 1
     146: 1
     151: 1
     161: 1
     174: 1
     176: 1
     224: 1

225:   0: 1
       1: 1
       2: q+1
       3: 1
       4: 1
       6: 1
       7: 1
       8: q+1
      12: q+1
      19: 1
      20: 1
      21: 1
      23: 1
      24: 1
      27: 1
      28: 1
      30: q+1
      31: 1
      32: 1
      33: q+1
      41: 1
      43: 1
      44: 1
      60: 1
      61: 1
      64: 1
      66: 1
      68: 1
      69: 1
      70: q+1
      87: 1
      97: 1
      99: 1
     108: 1
     110: 1
     112: 1
     114: 1
     147: 1
     153: 1
     174: 1
     176: 1
     225: 1

226:   0: 1
       1: q+1
       2: 1
       3: q+1
       4: 1
       5: q+1
       6: 1
       7: q+1
       8: 1
       9: 1
      10: q+1
      11: 1
      13: 1
      15: q+1
      16: 1
      17: q+1
      18: 1
      19: 1
      20: 1
      21: 1
      23: 1
      24: 1
      25: 1
      26: 1
      27: 1
      28: 1
      29: 1
      35: 1
      36: q+1
      37: 1
      38: q+1
      39: 1
      40: 1
      41: 1
      45: q+1
      46: 1
      47: 1
      56: 1
      57: 1
      58: 1
      60: 1
      61: 1
      62: 1
      64: 1
      65: 1
      67: 1
      72: 1
      73: 1
      75: 1
      83: 1
      84: 1
      85: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     116: 1
     117: 1
     119: 1
     135: 1
     154: 1
     155: 1
     156: 1
     157: 1
     226: 1

227:   0: 1
       1: 1
       3: 1
       4: 1
       5: q+1
       6: 1
       7: 1
       9: q+1
      10: q+1
      11: q+1
      13: 1
      14: 1
      15: 1
      16: 1
      17: 1
      18: 1
      19: 1
      20: 1
      21: 1
      22: 1
      25: 1
      26: 1
      27: 1
      28: 1
      29: q+1
      35: 1
      36: 1
      38: q+1
      39: 1
      40: 1
      41: 1
      45: 1
      46: 1
      56: 1
      57: 1
      58: 1
      59: 1
      62: 1
      63: 1
      65: 1
      67: 1
      72: 1
      73: 1
      75: q+1
      82: 1
      84: 1
      85: 1
     100: 1
     102: 1
     103: 1
     109: 1
     111: 1
     117: 1
     119: 1
     144: 1
     156: 1
     157: 1
     179: 1
     181: 1
     227: 1

228:   0: 1
       1: 1
       2: 1
       3: q+1
       4: 1
       6: q+1
       7: 1
       8: 1
      11: q+1
      19: 1
      20: q+1
      21: 1
      23: 1
      24: 1
      25: q+1
      27: 1
      28: 1
      35: 1
      36: 1
      37: 1
      41: 1
      46: 1
      47: 1
      60: 1
      61: 1
      62: q+1
      64: 1
      65: 1
      72: 1
      73: 1
      83: 1
     101: 1
     103: 1
     108: 1
     109: 1
     116: 1
     117: 1
     145: 1
     155: 1
     178: 1
     179: 1
     228: 1

229:   0: 1
       1: 1
       2: q+1
       3: 1
       4: 1
       6: 1
       7: 1
       8: q+1
      12: q+1
      19: 1
      20: 1
      21: 1
      23: 1
      24: 1
      27: 1
      28: 1
      30: q+1
      35: 1
      36: 1
      37: q+1
      41: 1
      46: 1
      47: 1
      60: 1
      61: 1
      64: 1
      66: 1
      72: 1
      73: 1
      74: q+1
      86: 1
     101: 1
     103: 1
     108: 1
     110: 1
     116: 1
     118: 1
     146: 1
     158: 1
     178: 1
     180: 1
     229: 1

230:   0: q+2
       1: q+2
       2: q+2
       3: q+1
       4: q+2
       6: q+1
       7: q+2
       8: q+2
      12: q+1
      19: q+2
      20: q+1
      21: q+2
      23: 2
      24: 2
      27: 1
      28: 1
      30: 1
      31: 2
      32: 2
      33: 2
      35: q+2
      36: q+2
      37: q+2
      41: 1
      43: 2
      44: 2
      46: q+2
      47: 2
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      60: 2
      61: 2
      64: 1
      66: 1
      68: 1
      69: 1
      70: 1
      72: 1
      73: 1
      74: 1
      78: 1
      79: 1
      80: 1
      81: 1
      87: 1
      97: 2
      99: 1
     101: 2
     103: 1
     108: 1
     110: 1
     116: 1
     118: 1
     120: 1
     121: 1
     122: 1
     132: 1
     133: 1
     147: 1
     159: 1
     161: 1
     178: 1
     180: 1
     230: 1

231:   0: 2
       1: 2q+2
       2: 2
       3: q^2+2q+1
       4: 2
       6: q+1
       7: 2q+2
       8: 2
      11: q+1
      19: 2
      20: q+1
      21: 2
      23: 2
      24: 2
      25: q+1
      27: 1
      28: 1
      31: 2
      32: 2q+2
      33: 2
      35: 2
      36: 2q+2
      37: 2
      41: 1
      43: 2
      44: 2
      46: 2
      47: 2
      48: 1
      49: 1
      50: q+1
      51: q+1
      52: 1
      53: 1
      60: 2
      61: 2
      62: q+1
      64: 1
      65: 1
      68: 1
      69: 1
      72: 1
      73: 1
      78: 1
      79: 1
      80: 1
      81: 1
      83: 1
      97: 2
      99: 1
     101: 2
     103: 1
     112: 1
     113: 1
     116: 1
     117: 1
     120: 1
     121: 1
     132: 1
     133: 1
     149: 1
     155: 1
     161: 1
     182: 1
     183: 1
     231: 1

232:   0: 1
       2: 1
       3: q+1
       4: 1
       8: 1
      23: 1
      24: 1
      27: 1
      31: 1
      33: 1
      35: 1
      37: 1
      44: 1
      47: 1
      48: 1
      52: 1
      64: 1
      68: 1
      72: 1
      80: 1
      88: 1
     112: 1
     116: 1
     120: 1
     136: 1
     162: 1
     182: 1
     232: 1

233:   0: 1
       2: 1
       3: q+1
       4: 1
       8: 1
      23: 1
      24: 1
      27: 1
      31: 1
      33: 1
      35: 1
      37: 1
      44: 1
      47: 1
      49: 1
      53: 1
      64: 1
      68: 1
      72: 1
      81: 1
      89: 1
     112: 1
     116: 1
     120: 1
     137: 1
     163: 1
     182: 1
     233: 1

234:   1: q+1
       6: 1
       7: q+1
      11: 1
      25: 1
      28: 1
      32: q+1
      36: q+1
      50: q+1
      65: 1
      69: 1
      73: 1
      90: 1
     113: 1
     117: 1
     121: 1
     138: 1
     164: 1
     183: 1
     234: 1

235:   1: q+1
       6: 1
       7: q+1
      11: 1
      25: 1
      28: 1
      32: q+1
      36: q+1
      51: q+1
      65: 1
      69: 1
      73: 1
      91: 1
     113: 1
     117: 1
     121: 1
     139: 1
     165: 1
     183: 1
     235: 1

236:   0: 1
       2: 1
       4: 1
       8: 1
      12: q+1
      23: 1
      24: 1
      30: 1
      31: 1
      33: 1
      35: 1
      37: 1
      44: 1
      47: 1
      48: 1
      52: 1
      66: 1
      70: 1
      74: 1
      80: 1
      92: 1
     114: 1
     118: 1
     122: 1
     140: 1
     166: 1
     184: 1
     236: 1

237:   0: 1
       2: 1
       4: 1
       8: 1
      12: q+1
      23: 1
      24: 1
      30: 1
      31: 1
      33: 1
      35: 1
      37: 1
      44: 1
      47: 1
      49: 1
      53: 1
      66: 1
      70: 1
      74: 1
      81: 1
      93: 1
     114: 1
     118: 1
     122: 1
     141: 1
     167: 1
     184: 1
     237: 1

238:   5: q+1
       9: 1
      10: q+1
      13: 1
      26: 1
      29: 1
      34: q+1
      38: q+1
      54: q+1
      67: 1
      71: 1
      75: 1
      94: 1
     115: 1
     119: 1
     123: 1
     142: 1
     168: 1
     185: 1
     238: 1

239:   5: q+1
       9: 1
      10: q+1
      13: 1
      26: 1
      29: 1
      34: q+1
      38: q+1
      55: q+1
      67: 1
      71: 1
      75: 1
      95: 1
     115: 1
     119: 1
     123: 1
     143: 1
     169: 1
     185: 1
     239: 1

240:   1: 2
       5: 2
       6: q+1
       7: 2
       9: q+1
      10: 2
      11: q+1
      13: q+1
      15: 2
      16: q+1
      17: 2
      18: q+1
      25: q+1
      26: q+1
      28: 1
      29: 1
      32: 2
      34: 2
      36: 2
      38: 2
      39: q+1
      40: 1
      42: 2
      45: 2
      50: 1
      51: 1
      54: 1
      55: 1
      65: 1
      67: 1
      69: 1
      71: 1
      73: 1
      75: 1
      76: 1
      77: 1
      85: 1
      98: 1
     102: 1
     113: 1
     115: 1
     117: 1
     119: 1
     121: 1
     123: 1
     150: 1
     156: 1
     160: 1
     183: 1
     185: 1
     240: 1

241:   0: 2
       2: 2
       3: q+1
       4: 2
       8: 2
      12: q+1
      23: 2
      24: 2
      27: 1
      30: 1
      31: 2
      33: 2
      35: 2
      37: 2
      44: 2
      47: 2
      48: 1
      49: 1
      52: 1
      53: 1
      64: 1
      66: 1
      68: 1
      70: 1
      72: 1
      74: 1
      80: 1
      81: 1
      86: 1
     112: 1
     114: 1
     116: 1
     118: 1
     120: 1
     122: 1
     151: 1
     158: 1
     182: 1
     184: 1
     241: 1

242:   0: 2
       2: 2
       3: q+1
       4: 2
       8: 2
      12: q+1
      23: 2
      24: 2
      27: 1
      30: 1
      31: 2
      33: 2
      35: 2
      37: 2
      44: 2
      47: 2
      48: 1
      49: 1
      52: 1
      53: 1
      64: 1
      66: 1
      68: 1
      70: 1
      72: 1
      74: 1
      80: 1
      81: 1
      87: 1
     112: 1
     114: 1
     116: 1
     118: 1
     120: 1
     122: 1
     153: 1
     159: 1
     182: 1
     184: 1
     242: 1

243:   0: 2
       1: 2
       3: q+1
       4: 2
       5: 2
       6: q+1
       7: 2
       9: q+1
      10: 2
      15: 2
      16: q+1
      17: 2
      19: 2
      20: q+1
      21: 2
      27: 1
      28: 1
      29: 1
      31: 2
      32: 2
      34: 2
      35: 2
      36: 2
      38: 2
      40: 1
      41: 1
      42: 2
      43: 2
      45: 2
      46: 2
      48: 1
      49: 1
      50: 1
      51: 1
      54: 1
      55: 1
      56: 2
      57: q+1
      58: 2
      68: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: 1
      76: 1
      77: 1
      78: 1
      79: 1
      84: 1
      96: 2
      98: 1
      99: 1
     100: 2
     102: 1
     103: 1
     120: 1
     121: 1
     123: 1
     130: 1
     131: 1
     152: 1
     157: 1
     160: 1
     161: 1
     243: 1

244:   0: 3q+2
       2: 2q+2
       3: 3q+2
       4: 2q+2
       8: 2
      12: 2
      23: q+2
      24: 2
      27: 3q+2
      30: 2
      31: q+2
      33: 2
      35: q+2
      37: 2
      44: 2
      47: 2
      48: 1
      49: 1
      52: 1
      53: 1
      64: q+2
      66: 2
      68: q+2
      70: 2
      72: q+2
      74: 2
      80: 1
      81: 1
      86: 2
      87: 2
      88: 1
      89: 1
      92: 1
      93: 1
     112: 1
     114: 1
     116: 1
     118: 1
     120: 2
     124: 1
     125: 1
     153: 1
     158: 1
     162: 1
     163: 1
     182: 1
     244: 1

245:   1: 2
       6: 2
       7: 2
      11: q^2+1
      25: 1
      28: 2
      32: 2
      36: 2
      50: 1
      51: 1
      65: 1
      69: 2
      73: 2
      90: 1
      91: 1
     113: 1
     117: 1
     121: 2
     164: 1
     165: 1
     183: 1
     245: 1

246:   0: 2
       2: 2q+2
       3: 2
       4: 2q+2
       8: 3q+2
      12: 3q+2
      23: 2
      24: q+2
      27: 2
      30: 3q+2
      31: 2
      33: q+2
      35: 2
      37: q+2
      44: 2
      47: 2
      48: 1
      49: 1
      52: 1
      53: 1
      64: 2
      66: q+2
      68: 2
      70: q+2
      72: 2
      74: q+2
      80: 1
      81: 1
      86: 2
      87: 2
      88: 1
      89: 1
      92: 1
      93: 1
     112: 1
     114: 1
     116: 1
     118: 1
     122: 2
     124: 1
     125: 1
     153: 1
     158: 1
     166: 1
     167: 1
     184: 1
     246: 1

247:   5: 2
       9: 2
      10: 2
      13: q^2+1
      26: 1
      29: 2
      34: 2
      38: 2
      54: 1
      55: 1
      67: 1
      71: 2
      75: 2
      94: 1
      95: 1
     115: 1
     119: 1
     123: 2
     168: 1
     169: 1
     185: 1
     247: 1

248:   0: 1
       1: 1
       2: q+1
       3: q+1
       4: 1
       5: 1
       6: q+1
       7: 1
       8: q+1
       9: q+1
      10: 1
      15: 1
      16: q+1
      17: 1
      19: 1
      20: q+1
      21: 1
      23: 1
      24: 1
      27: 1
      28: 1
      29: 1
      31: 1
      32: 1
      33: q+1
      34: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      56: 1
      57: q+1
      58: 1
      60: 1
      61: 1
      64: 1
      68: 1
      69: 1
      71: 1
      84: 1
      96: 1
      97: 1
      98: 1
      99: 1
     104: 1
     105: 1
     108: 1
     112: 1
     148: 1
     152: 1
     170: 1
     174: 1
     248: 1

249:   0: q+1
       1: 1
       3: q+1
       4: q+1
       5: 1
       6: 1
       7: 1
       9: 1
      10: 1
      11: q+1
      13: q+1
      15: 1
      16: 1
      17: 1
      18: q+1
      19: 1
      20: 1
      21: 1
      25: 1
      26: 1
      27: q+1
      28: 1
      29: 1
      31: q+1
      32: 1
      34: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      56: 1
      57: 1
      58: 1
      62: 1
      65: 1
      67: 1
      68: q+1
      69: 1
      71: 1
      84: 1
      85: 1
      96: 1
      98: 1
      99: 1
     106: 1
     109: 1
     113: 1
     115: 1
     150: 1
     152: 1
     171: 1
     175: 1
     249: 1

250:   0: 1
       1: 1
       2: 1
       4: 1
       5: 1
       7: 1
       8: 1
      10: 1
      12: q+1
      15: 1
      17: 1
      19: 1
      21: 1
      23: 1
      24: 1
      30: 1
      31: 1
      32: 1
      33: 1
      34: 1
      42: 1
      43: 1
      44: 1
      56: 1
      58: 1
      60: 1
      61: 1
      66: 1
      70: 1
      96: 1
      97: 1
     104: 1
     105: 1
     110: 1
     114: 1
     148: 1
     172: 1
     176: 1
     250: 1

251:   1: 1
       5: 1
       6: 1
       7: 1
       9: 1
      10: 1
      11: 1
      13: 1
      14: q+1
      15: 1
      16: 1
      17: 1
      18: 1
      22: 1
      25: 1
      26: 1
      28: 1
      29: 1
      32: 1
      34: 1
      39: 1
      40: 1
      42: 1
      59: 1
      63: 1
      65: 1
      67: 1
      69: 1
      71: 1
      85: 1
      98: 1
     107: 1
     111: 1
     113: 1
     115: 1
     150: 1
     173: 1
     177: 1
     251: 1

252:   0: 1
       1: 1
       2: q+1
       3: q+1
       4: 1
       5: 1
       6: q+1
       7: 1
       8: q+1
       9: q+1
      10: 1
      15: 1
      16: q+1
      17: 1
      19: 1
      20: q+1
      21: 1
      23: 1
      24: 1
      27: 1
      28: 1
      29: 1
      35: 1
      36: 1
      37: q+1
      38: 1
      40: 1
      41: 1
      45: 1
      46: 1
      47: 1
      56: 1
      57: q+1
      58: 1
      60: 1
      61: 1
      64: 1
      72: 1
      73: 1
      75: 1
      84: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     108: 1
     116: 1
     154: 1
     157: 1
     170: 1
     178: 1
     252: 1

253:   0: q+1
       1: 1
       3: q+1
       4: q+1
       5: 1
       6: 1
       7: 1
       9: 1
      10: 1
      11: q+1
      13: q+1
      15: 1
      16: 1
      17: 1
      18: q+1
      19: 1
      20: 1
      21: 1
      25: 1
      26: 1
      27: q+1
      28: 1
      29: 1
      35: q+1
      36: 1
      38: 1
      39: 1
      40: 1
      41: 1
      45: 1
      46: 1
      56: 1
      57: 1
      58: 1
      62: 1
      65: 1
      67: 1
      72: q+1
      73: 1
      75: 1
      84: 1
      85: 1
     100: 1
     102: 1
     103: 1
     106: 1
     109: 1
     117: 1
     119: 1
     156: 1
     157: 1
     171: 1
     179: 1
     253: 1

254:   0: 1
       1: 1
       2: 1
       4: 1
       5: 1
       7: 1
       8: 1
      10: 1
      12: q+1
      15: 1
      17: 1
      19: 1
      21: 1
      23: 1
      24: 1
      30: 1
      35: 1
      36: 1
      37: 1
      38: 1
      45: 1
      46: 1
      47: 1
      56: 1
      58: 1
      60: 1
      61: 1
      66: 1
      74: 1
     100: 1
     101: 1
     104: 1
     105: 1
     110: 1
     118: 1
     154: 1
     172: 1
     180: 1
     254: 1

255:   1: 1
       5: 1
       6: 1
       7: 1
       9: 1
      10: 1
      11: 1
      13: 1
      14: q+1
      15: 1
      16: 1
      17: 1
      18: 1
      22: 1
      25: 1
      26: 1
      28: 1
      29: 1
      36: 1
      38: 1
      39: 1
      40: 1
      45: 1
      59: 1
      63: 1
      65: 1
      67: 1
      73: 1
      75: 1
      85: 1
     102: 1
     107: 1
     111: 1
     117: 1
     119: 1
     156: 1
     173: 1
     181: 1
     255: 1

256:   0: 2
       1: 2
       2: 2q+2
       3: 2q+1
       4: 2
       6: 2q+1
       7: 2
       8: 2q+2
      19: 2
      20: 2q+1
      21: 2
      23: 2
      24: 2
      27: 1
      28: 1
      31: 2
      32: 2
      33: 2q+2
      35: 2
      36: 2
      37: 2q+2
      41: 1
      43: 2
      44: 2
      46: 2
      47: 2
      48: 1
      49: 1
      50: 1
      51: 1
      52: q+1
      53: q+1
      60: 2
      61: 2
      64: 1
      68: 1
      69: 1
      72: 1
      73: 1
      78: 1
      79: 1
      80: 1
      81: 1
      97: 2
      99: 1
     101: 2
     103: 1
     108: 1
     112: 1
     116: 1
     120: 1
     121: 1
     132: 1
     133: 1
     161: 1
     174: 1
     178: 1
     182: 1
     256: 1

257:   0: 2
       1: 2
       3: q+1
       4: 2
       6: q+1
       7: 2
      11: q^2+2q+1
      19: 2
      20: q+1
      21: 2
      25: q+1
      27: 1
      28: 1
      31: 2
      32: 2
      35: 2
      36: 2
      41: 1
      43: 2
      46: 2
      48: 1
      49: 1
      50: 1
      51: 1
      62: q+1
      65: 1
      68: 1
      69: 1
      72: 1
      73: 1
      78: 1
      79: 1
      99: 1
     103: 1
     109: 1
     113: 1
     117: 1
     120: 1
     121: 1
     161: 1
     175: 1
     179: 1
     183: 1
     257: 1

258:   0: 2
       1: 2
       2: 2
       4: 2
       7: 2
       8: 2
      12: q^2+2q+1
      19: 2
      21: 2
      23: 2
      24: 2
      30: 1
      31: 2
      32: 2
      33: 2
      35: 2
      36: 2
      37: 2
      43: 2
      44: 2
      46: 2
      47: 2
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      60: 2
      61: 2
      66: 1
      70: 1
      74: 1
      78: 1
      79: 1
      80: 1
      81: 1
      97: 2
     101: 2
     110: 1
     114: 1
     118: 1
     122: 1
     132: 1
     133: 1
     176: 1
     180: 1
     184: 1
     258: 1

259:   5: 2
       9: q+1
      10: 2
      13: q+1
      14: q+1
      22: q+1
      26: q+1
      29: 1
      34: 2
      38: 2
      54: 1
      55: 1
      63: q+1
      67: 1
      71: 1
      75: 1
     111: 1
     115: 1
     119: 1
     123: 1
     177: 1
     181: 1
     185: 1
     259: 1

260:   0: 1
       1: 1
       3: 1
       4: q+1
       5: q+1
       6: 1
       7: q+1
       9: q+1
      10: q^2+2q+1
      11: q+1
      13: 1
      14: 1
      15: 1
      16: 1
      17: q+1
      18: 1
      19: 1
      20: 1
      21: q+1
      22: 1
      25: 1
      26: 1
      27: 1
      28: 1
      29: q+1
      31: 1
      32: 1
      34: q+1
      35: 1
      36: 1
      38: q+1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      45: 1
      46: 1
      48: 1
      50: 1
      54: q+1
      56: 1
      57: 1
      58: q+1
      59: 1
      62: 1
      63: 1
      65: 1
      67: 1
      68: 1
      69: 1
      71: q+1
      72: 1
      73: 1
      75: q+1
      76: 1
      78: 1
      82: 1
      84: 1
      85: 1
      88: 1
      90: 1
      94: q+1
      96: 1
      98: 1
      99: 1
     100: 1
     102: 1
     103: 1
     109: 1
     111: 1
     113: 1
     115: 1
     117: 1
     119: 1
     126: 1
     128: 1
     130: 1
     138: 1
     142: 1
     144: 1
     150: 1
     152: 1
     156: 1
     157: 1
     175: 1
     177: 1
     179: 1
     181: 1
     188: 1
     194: 1
     208: 1
     212: 1
     222: 1
     227: 1
     260: 1

261:   0: 1
       1: 1
       3: 1
       4: q+1
       5: q+1
       6: 1
       7: q+1
       9: q+1
      10: q^2+2q+1
      11: q+1
      13: 1
      14: 1
      15: 1
      16: 1
      17: q+1
      18: 1
      19: 1
      20: 1
      21: q+1
      22: 1
      25: 1
      26: 1
      27: 1
      28: 1
      29: q+1
      31: 1
      32: 1
      34: q+1
      35: 1
      36: 1
      38: q+1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      45: 1
      46: 1
      49: 1
      51: 1
      55: q+1
      56: 1
      57: 1
      58: q+1
      59: 1
      62: 1
      63: 1
      65: 1
      67: 1
      68: 1
      69: 1
      71: q+1
      72: 1
      73: 1
      75: q+1
      77: 1
      79: 1
      82: 1
      84: 1
      85: 1
      89: 1
      91: 1
      95: q+1
      96: 1
      98: 1
      99: 1
     100: 1
     102: 1
     103: 1
     109: 1
     111: 1
     113: 1
     115: 1
     117: 1
     119: 1
     127: 1
     129: 1
     131: 1
     139: 1
     143: 1
     144: 1
     150: 1
     152: 1
     156: 1
     157: 1
     175: 1
     177: 1
     179: 1
     181: 1
     189: 1
     195: 1
     209: 1
     213: 1
     222: 1
     227: 1
     261: 1

262:   0: 1
       1: 1
       2: 1
       3: q+1
       4: q+1
       6: q+1
       7: q+1
       8: q+1
      11: q+1
      19: 1
      20: q+1
      21: q+1
      23: 1
      24: q+1
      25: q+1
      27: 1
      28: 1
      31: 1
      32: 1
      33: 1
      35: 1
      36: 1
      37: 1
      41: 1
      43: 1
      44: 1
      46: 1
      47: 1
      48: 1
      50: 1
      52: 1
      60: 1
      61: q+1
      62: q+1
      64: 1
      65: 1
      68: 1
      69: 1
      72: 1
      73: 1
      78: 1
      80: 1
      83: 1
      88: 1
      90: 1
      97: 1
      99: 1
     101: 1
     103: 1
     108: 1
     109: 1
     112: 1
     113: 1
     116: 1
     117: 1
     128: 1
     132: 1
     136: 1
     138: 1
     145: 1
     149: 1
     155: 1
     174: 1
     175: 1
     178: 1
     179: 1
     186: 1
     206: 1
     208: 1
     223: 1
     228: 1
     262: 1

263:   0: 1
       1: 1
       2: 1
       3: q+1
       4: q+1
       6: q+1
       7: q+1
       8: q+1
      11: q+1
      19: 1
      20: q+1
      21: q+1
      23: 1
      24: q+1
      25: q+1
      27: 1
      28: 1
      31: 1
      32: 1
      33: 1
      35: 1
      36: 1
      37: 1
      41: 1
      43: 1
      44: 1
      46: 1
      47: 1
      49: 1
      51: 1
      53: 1
      60: 1
      61: q+1
      62: q+1
      64: 1
      65: 1
      68: 1
      69: 1
      72: 1
      73: 1
      79: 1
      81: 1
      83: 1
      89: 1
      91: 1
      97: 1
      99: 1
     101: 1
     103: 1
     108: 1
     109: 1
     112: 1
     113: 1
     116: 1
     117: 1
     129: 1
     133: 1
     137: 1
     139: 1
     145: 1
     149: 1
     155: 1
     174: 1
     175: 1
     178: 1
     179: 1
     187: 1
     207: 1
     209: 1
     223: 1
     228: 1
     263: 1

264:   0: 1
       1: q+1
       2: 1
       3: q+1
       4: q+1
       5: q+1
       6: 1
       7: q^2+2q+1
       8: q+1
       9: 1
      10: q^2+2q+1
      11: 1
      13: 1
      15: q+1
      16: 1
      17: q^2+2q+1
      18: 1
      19: 1
      20: 1
      21: q+1
      23: 1
      24: q+1
      25: 1
      26: 1
      27: 1
      28: 1
      29: 1
      31: 1
      32: q+1
      33: 1
      34: q+1
      35: 1
      36: q+1
      37: 1
      38: q+1
      39: 1
      40: 1
      41: 1
      42: q+1
      43: 1
      44: 1
      45: q+1
      46: 1
      47: 1
      48: 1
      50: q+1
      52: 1
      54: q+1
      56: 1
      57: 1
      58: q+1
      60: 1
      61: q+1
      62: 1
      64: 1
      65: 1
      67: 1
      68: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: 1
      76: q+1
      78: 1
      80: 1
      83: 1
      84: 1
      85: 1
      88: 1
      90: 1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: q+1
     106: 1
     112: 1
     113: 1
     115: 1
     116: 1
     117: 1
     119: 1
     126: 1
     128: 1
     130: 1
     132: 1
     135: 1
     136: 1
     138: 1
     142: 1
     148: 1
     149: 1
     150: 1
     152: 1
     154: 1
     155: 1
     156: 1
     157: 1
     186: 1
     188: 1
     194: 1
     200: 1
     221: 1
     226: 1
     264: 1

265:   0: 1
       1: q+1
       2: 1
       3: q+1
       4: q+1
       5: q+1
       6: 1
       7: q^2+2q+1
       8: q+1
       9: 1
      10: q^2+2q+1
      11: 1
      13: 1
      15: q+1
      16: 1
      17: q^2+2q+1
      18: 1
      19: 1
      20: 1
      21: q+1
      23: 1
      24: q+1
      25: 1
      26: 1
      27: 1
      28: 1
      29: 1
      31: 1
      32: q+1
      33: 1
      34: q+1
      35: 1
      36: q+1
      37: 1
      38: q+1
      39: 1
      40: 1
      41: 1
      42: q+1
      43: 1
      44: 1
      45: q+1
      46: 1
      47: 1
      49: 1
      51: q+1
      53: 1
      55: q+1
      56: 1
      57: 1
      58: q+1
      60: 1
      61: q+1
      62: 1
      64: 1
      65: 1
      67: 1
      68: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: 1
      77: q+1
      79: 1
      81: 1
      83: 1
      84: 1
      85: 1
      89: 1
      91: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: q+1
     106: 1
     112: 1
     113: 1
     115: 1
     116: 1
     117: 1
     119: 1
     127: 1
     129: 1
     131: 1
     133: 1
     135: 1
     137: 1
     139: 1
     143: 1
     148: 1
     149: 1
     150: 1
     152: 1
     154: 1
     155: 1
     156: 1
     157: 1
     187: 1
     189: 1
     195: 1
     201: 1
     221: 1
     226: 1
     265: 1

266:   0: q+1
       1: q+1
       2: q^2+2q+1
       3: q+1
       4: q+1
       6: q+1
       7: q+1
       8: q^2+2q+1
      12: q^2+2q+1
      19: q+1
      20: q+1
      21: q+1
      23: q+1
      24: q+1
      27: q+1
      28: q+1
      30: q^2+2q+1
      31: 1
      32: 1
      33: q+1
      35: 1
      36: 1
      37: q+1
      41: q+1
      43: 1
      44: 1
      46: 1
      47: 1
      48: 1
      50: 1
      52: q+1
      60: q+1
      61: q+1
      64: q+1
      66: q+1
      68: 1
      69: 1
      70: q+1
      72: 1
      73: 1
      74: q+1
      78: 1
      80: 1
      86: 1
      87: 1
      88: 1
      90: 1
      92: q+1
      97: 1
      99: 1
     101: 1
     103: 1
     108: q+1
     110: q+1
     112: 1
     114: 1
     116: 1
     118: 1
     124: 1
     128: 1
     132: 1
     136: 1
     140: 1
     146: 1
     147: 1
     153: 1
     158: 1
     174: 1
     176: 1
     178: 1
     180: 1
     190: 1
     192: 1
     206: 1
     210: 1
     225: 1
     229: 1
     266: 1

267:   0: q+1
       1: q+1
       2: q^2+2q+1
       3: q+1
       4: q+1
       6: q+1
       7: q+1
       8: q^2+2q+1
      12: q^2+2q+1
      19: q+1
      20: q+1
      21: q+1
      23: q+1
      24: q+1
      27: q+1
      28: q+1
      30: q^2+2q+1
      31: 1
      32: 1
      33: q+1
      35: 1
      36: 1
      37: q+1
      41: q+1
      43: 1
      44: 1
      46: 1
      47: 1
      49: 1
      51: 1
      53: q+1
      60: q+1
      61: q+1
      64: q+1
      66: q+1
      68: 1
      69: 1
      70: q+1
      72: 1
      73: 1
      74: q+1
      79: 1
      81: 1
      86: 1
      87: 1
      89: 1
      91: 1
      93: q+1
      97: 1
      99: 1
     101: 1
     103: 1
     108: q+1
     110: q+1
     112: 1
     114: 1
     116: 1
     118: 1
     125: 1
     129: 1
     133: 1
     137: 1
     141: 1
     146: 1
     147: 1
     153: 1
     158: 1
     174: 1
     176: 1
     178: 1
     180: 1
     191: 1
     193: 1
     207: 1
     211: 1
     225: 1
     229: 1
     267: 1

268:   0: q+1
       1: 1
       2: q+1
       3: q+1
       4: q+1
       6: 1
       7: q^2+q+1
       8: q+1
      11: 1
      12: q+1
      19: 1
      20: 1
      21: q+1
      23: q+1
      24: q+1
      25: 1
      27: q+1
      28: 1
      30: q+1
      31: 1
      32: 1
      33: 1
      35: 1
      36: 1
      37: 1
      41: 1
      43: 1
      44: 1
      46: 1
      47: 1
      48: 1
      50: 1
      52: 1
      60: 1
      61: q+1
      62: 1
      64: q+1
      65: 1
      66: q+1
      68: 1
      69: 1
      70: 1
      72: 1
      73: 1
      74: 1
      78: 1
      80: 1
      83: 1
      86: 1
      87: 1
      88: 1
      90: 1
      92: 1
      97: 1
      99: 1
     101: 1
     103: 1
     108: 1
     109: 1
     110: q+1
     112: 1
     113: 1
     114: 1
     116: 1
     117: 1
     118: 1
     124: 1
     128: 1
     132: 1
     136: 1
     138: 1
     140: 1
     145: 1
     146: 1
     147: 1
     149: 1
     153: 1
     155: 1
     158: 1
     186: 1
     190: 1
     192: 1
     218: 1
     220: 1
     268: 1

269:   0: q+1
       1: 1
       2: q+1
       3: q+1
       4: q+1
       6: 1
       7: q^2+q+1
       8: q+1
      11: 1
      12: q+1
      19: 1
      20: 1
      21: q+1
      23: q+1
      24: q+1
      25: 1
      27: q+1
      28: 1
      30: q+1
      31: 1
      32: 1
      33: 1
      35: 1
      36: 1
      37: 1
      41: 1
      43: 1
      44: 1
      46: 1
      47: 1
      49: 1
      51: 1
      53: 1
      60: 1
      61: q+1
      62: 1
      64: q+1
      65: 1
      66: q+1
      68: 1
      69: 1
      70: 1
      72: 1
      73: 1
      74: 1
      79: 1
      81: 1
      83: 1
      86: 1
      87: 1
      89: 1
      91: 1
      93: 1
      97: 1
      99: 1
     101: 1
     103: 1
     108: 1
     109: 1
     110: q+1
     112: 1
     113: 1
     114: 1
     116: 1
     117: 1
     118: 1
     125: 1
     129: 1
     133: 1
     137: 1
     139: 1
     141: 1
     145: 1
     146: 1
     147: 1
     149: 1
     153: 1
     155: 1
     158: 1
     187: 1
     191: 1
     193: 1
     218: 1
     220: 1
     269: 1

270:   0: 1
       1: 1
       2: q+1
       3: 1
       4: q+1
       5: 1
       6: 1
       7: q+1
       8: 1
       9: 1
      10: q+1
      12: 1
      15: 1
      16: 1
      17: q+1
      19: 1
      20: 1
      21: q+1
      23: 1
      24: 1
      27: 1
      28: 1
      29: 1
      30: 1
      31: 1
      32: 1
      33: 1
      34: 1
      35: 1
      36: 1
      37: 1
      38: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      48: 1
      50: 1
      52: 1
      54: 1
      56: 1
      57: 1
      58: q+1
      60: 1
      61: 1
      64: 1
      66: 1
      68: 1
      69: 1
      70: 1
      71: 1
      72: 1
      73: 1
      74: 1
      75: 1
      76: 1
      78: 1
      80: 1
      84: 1
      86: 1
      87: 1
      88: 1
      90: 1
      92: 1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     108: 1
     110: 1
     124: 1
     126: 1
     128: 1
     130: 1
     132: 1
     146: 1
     147: 1
     148: 1
     152: 1
     154: 1
     157: 1
     170: 1
     172: 1
     192: 1
     194: 1
     200: 1
     217: 1
     219: 1
     270: 1

271:   0: 1
       1: 1
       2: q+1
       3: 1
       4: q+1
       5: 1
       6: 1
       7: q+1
       8: 1
       9: 1
      10: q+1
      12: 1
      15: 1
      16: 1
      17: q+1
      19: 1
      20: 1
      21: q+1
      23: 1
      24: 1
      27: 1
      28: 1
      29: 1
      30: 1
      31: 1
      32: 1
      33: 1
      34: 1
      35: 1
      36: 1
      37: 1
      38: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      49: 1
      51: 1
      53: 1
      55: 1
      56: 1
      57: 1
      58: q+1
      60: 1
      61: 1
      64: 1
      66: 1
      68: 1
      69: 1
      70: 1
      71: 1
      72: 1
      73: 1
      74: 1
      75: 1
      77: 1
      79: 1
      81: 1
      84: 1
      86: 1
      87: 1
      89: 1
      91: 1
      93: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     108: 1
     110: 1
     125: 1
     127: 1
     129: 1
     131: 1
     133: 1
     146: 1
     147: 1
     148: 1
     152: 1
     154: 1
     157: 1
     170: 1
     172: 1
     193: 1
     195: 1
     201: 1
     217: 1
     219: 1
     271: 1

272:   0: 2q+1
       2: 2q+1
       3: q^2+q+1
       4: 2q+1
       8: 2q+1
      12: q^2+q+1
      23: 2q+1
      24: 2q+1
      27: q+1
      30: q+1
      31: 2q+1
      33: 2q+1
      35: q+1
      37: q+1
      44: 2q+1
      47: q+1
      48: q+1
      52: q+1
      64: q+1
      66: q+1
      68: q+1
      70: q+1
      72: 1
      74: 1
      80: q+1
      86: 1
      87: 1
      88: 1
      92: 1
     112: q+1
     114: q+1
     116: 1
     118: 1
     120: 1
     122: 1
     124: 1
     136: 1
     140: 1
     151: 1
     153: 1
     158: 1
     162: 1
     166: 1
     182: 1
     184: 1
     190: 1
     196: 1
     232: 1
     236: 1
     241: 1
     272: 1

273:   0: 2q+1
       2: 2q+1
       3: q^2+q+1
       4: 2q+1
       8: 2q+1
      12: q^2+q+1
      23: 2q+1
      24: 2q+1
      27: q+1
      30: q+1
      31: 2q+1
      33: 2q+1
      35: q+1
      37: q+1
      44: 2q+1
      47: q+1
      49: q+1
      53: q+1
      64: q+1
      66: q+1
      68: q+1
      70: q+1
      72: 1
      74: 1
      81: q+1
      86: 1
      87: 1
      89: 1
      93: 1
     112: q+1
     114: q+1
     116: 1
     118: 1
     120: 1
     122: 1
     125: 1
     137: 1
     141: 1
     151: 1
     153: 1
     158: 1
     163: 1
     167: 1
     182: 1
     184: 1
     191: 1
     197: 1
     233: 1
     237: 1
     241: 1
     273: 1

274:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       6: q+1
       7: q+1
       8: q+1
      12: q+1
      19: q+1
      20: q+1
      21: q+1
      23: 1
      24: 1
      27: q+1
      28: q+1
      30: q+1
      31: q+1
      32: q+1
      33: q+1
      35: 1
      36: 1
      37: 1
      41: q+1
      43: q+1
      44: 1
      46: 1
      47: 1
      48: 1
      50: 1
      52: 1
      60: 1
      61: 1
      64: 1
      66: 1
      68: q+1
      69: q+1
      70: q+1
      72: 1
      73: 1
      74: 1
      78: 1
      80: 1
      86: 1
      87: 1
      88: 1
      90: 1
      92: 1
      97: 1
      99: q+1
     101: 1
     103: 1
     108: 1
     110: 1
     112: 1
     114: 1
     120: 1
     121: 1
     122: 1
     124: 1
     128: 1
     132: 1
     146: 1
     147: 1
     151: 1
     153: 1
     161: 1
     162: 1
     164: 1
     166: 1
     174: 1
     176: 1
     192: 1
     196: 1
     204: 1
     224: 1
     225: 1
     274: 1

275:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       6: q+1
       7: q+1
       8: q+1
      12: q+1
      19: q+1
      20: q+1
      21: q+1
      23: 1
      24: 1
      27: q+1
      28: q+1
      30: q+1
      31: q+1
      32: q+1
      33: q+1
      35: 1
      36: 1
      37: 1
      41: q+1
      43: q+1
      44: 1
      46: 1
      47: 1
      49: 1
      51: 1
      53: 1
      60: 1
      61: 1
      64: 1
      66: 1
      68: q+1
      69: q+1
      70: q+1
      72: 1
      73: 1
      74: 1
      79: 1
      81: 1
      86: 1
      87: 1
      89: 1
      91: 1
      93: 1
      97: 1
      99: q+1
     101: 1
     103: 1
     108: 1
     110: 1
     112: 1
     114: 1
     120: 1
     121: 1
     122: 1
     125: 1
     129: 1
     133: 1
     146: 1
     147: 1
     151: 1
     153: 1
     161: 1
     163: 1
     165: 1
     167: 1
     174: 1
     176: 1
     193: 1
     197: 1
     205: 1
     224: 1
     225: 1
     275: 1

276:   0: 2q+1
       2: 2q+1
       3: q^2+q+1
       4: 2q+1
       8: 2q+1
      12: q^2+q+1
      23: 2q+1
      24: 2q+1
      27: q+1
      30: q+1
      31: q+1
      33: q+1
      35: 2q+1
      37: 2q+1
      44: q+1
      47: 2q+1
      48: q+1
      52: q+1
      64: q+1
      66: q+1
      68: 1
      70: 1
      72: q+1
      74: q+1
      80: q+1
      86: 1
      87: 1
      88: 1
      92: 1
     112: 1
     114: 1
     116: q+1
     118: q+1
     120: 1
     122: 1
     124: 1
     136: 1
     140: 1
     153: 1
     158: 1
     159: 1
     162: 1
     166: 1
     182: 1
     184: 1
     190: 1
     198: 1
     232: 1
     236: 1
     242: 1
     276: 1

277:   0: 2q+1
       2: 2q+1
       3: q^2+q+1
       4: 2q+1
       8: 2q+1
      12: q^2+q+1
      23: 2q+1
      24: 2q+1
      27: q+1
      30: q+1
      31: q+1
      33: q+1
      35: 2q+1
      37: 2q+1
      44: q+1
      47: 2q+1
      49: q+1
      53: q+1
      64: q+1
      66: q+1
      68: 1
      70: 1
      72: q+1
      74: q+1
      81: q+1
      86: 1
      87: 1
      89: 1
      93: 1
     112: 1
     114: 1
     116: q+1
     118: q+1
     120: 1
     122: 1
     125: 1
     137: 1
     141: 1
     153: 1
     158: 1
     159: 1
     163: 1
     167: 1
     182: 1
     184: 1
     191: 1
     199: 1
     233: 1
     237: 1
     242: 1
     277: 1

278:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       6: q+1
       7: q+1
       8: q+1
      12: q+1
      19: q+1
      20: q+1
      21: q+1
      23: 1
      24: 1
      27: q+1
      28: q+1
      30: q+1
      31: 1
      32: 1
      33: 1
      35: q+1
      36: q+1
      37: q+1
      41: q+1
      43: 1
      44: 1
      46: q+1
      47: 1
      48: 1
      50: 1
      52: 1
      60: 1
      61: 1
      64: 1
      66: 1
      68: 1
      69: 1
      70: 1
      72: q+1
      73: q+1
      74: q+1
      78: 1
      80: 1
      86: 1
      87: 1
      88: 1
      90: 1
      92: 1
      97: 1
      99: 1
     101: 1
     103: q+1
     108: 1
     110: 1
     116: 1
     118: 1
     120: 1
     121: 1
     122: 1
     124: 1
     128: 1
     132: 1
     146: 1
     147: 1
     158: 1
     159: 1
     161: 1
     162: 1
     164: 1
     166: 1
     178: 1
     180: 1
     192: 1
     198: 1
     204: 1
     229: 1
     230: 1
     278: 1

279:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       6: q+1
       7: q+1
       8: q+1
      12: q+1
      19: q+1
      20: q+1
      21: q+1
      23: 1
      24: 1
      27: q+1
      28: q+1
      30: q+1
      31: 1
      32: 1
      33: 1
      35: q+1
      36: q+1
      37: q+1
      41: q+1
      43: 1
      44: 1
      46: q+1
      47: 1
      49: 1
      51: 1
      53: 1
      60: 1
      61: 1
      64: 1
      66: 1
      68: 1
      69: 1
      70: 1
      72: q+1
      73: q+1
      74: q+1
      79: 1
      81: 1
      86: 1
      87: 1
      89: 1
      91: 1
      93: 1
      97: 1
      99: 1
     101: 1
     103: q+1
     108: 1
     110: 1
     116: 1
     118: 1
     120: 1
     121: 1
     122: 1
     125: 1
     129: 1
     133: 1
     146: 1
     147: 1
     158: 1
     159: 1
     161: 1
     163: 1
     165: 1
     167: 1
     178: 1
     180: 1
     193: 1
     199: 1
     205: 1
     229: 1
     230: 1
     279: 1

280:   0: 1
       1: q+1
       2: 1
       3: q+1
       4: 1
       6: 1
       7: q+1
       8: 1
      11: 1
      19: 1
      20: 1
      21: 1
      23: 1
      24: 1
      25: 1
      27: 1
      28: 1
      31: 1
      32: q+1
      33: 1
      35: 1
      36: q+1
      37: 1
      41: 1
      43: 1
      44: 1
      46: 1
      47: 1
      48: 1
      50: q+1
      52: 1
      60: 1
      61: 1
      62: 1
      64: 1
      65: 1
      68: 1
      69: 1
      72: 1
      73: 1
      78: 1
      80: 1
      83: 1
      88: 1
      90: 1
      97: 1
      99: 1
     101: 1
     103: 1
     112: 1
     113: 1
     116: 1
     117: 1
     120: 1
     121: 1
     128: 1
     132: 1
     136: 1
     138: 1
     149: 1
     155: 1
     161: 1
     162: 1
     164: 1
     182: 1
     183: 1
     186: 1
     204: 1
     231: 1
     232: 1
     234: 1
     280: 1

281:   0: 1
       1: q+1
       2: 1
       3: q+1
       4: 1
       6: 1
       7: q+1
       8: 1
      11: 1
      19: 1
      20: 1
      21: 1
      23: 1
      24: 1
      25: 1
      27: 1
      28: 1
      31: 1
      32: q+1
      33: 1
      35: 1
      36: q+1
      37: 1
      41: 1
      43: 1
      44: 1
      46: 1
      47: 1
      49: 1
      51: q+1
      53: 1
      60: 1
      61: 1
      62: 1
      64: 1
      65: 1
      68: 1
      69: 1
      72: 1
      73: 1
      79: 1
      81: 1
      83: 1
      89: 1
      91: 1
      97: 1
      99: 1
     101: 1
     103: 1
     112: 1
     113: 1
     116: 1
     117: 1
     120: 1
     121: 1
     129: 1
     133: 1
     137: 1
     139: 1
     149: 1
     155: 1
     161: 1
     163: 1
     165: 1
     182: 1
     183: 1
     187: 1
     205: 1
     231: 1
     233: 1
     235: 1
     281: 1

282:   1: q+1
       5: q+1
       6: 1
       7: q+1
       9: 1
      10: q+1
      11: 1
      13: 1
      15: q+1
      16: 1
      17: q+1
      18: 1
      25: 1
      26: 1
      28: 1
      29: 1
      32: q+1
      34: q+1
      36: q+1
      38: q+1
      39: 1
      40: 1
      42: q+1
      45: q+1
      50: q+1
      54: q+1
      65: 1
      67: 1
      69: 1
      71: 1
      73: 1
      75: 1
      76: q+1
      85: 1
      90: 1
      94: 1
      98: 1
     102: 1
     113: 1
     115: 1
     117: 1
     119: 1
     121: 1
     123: 1
     126: 1
     138: 1
     142: 1
     150: 1
     156: 1
     160: 1
     164: 1
     168: 1
     183: 1
     185: 1
     188: 1
     202: 1
     234: 1
     238: 1
     240: 1
     282: 1

283:   1: q+1
       5: q+1
       6: 1
       7: q+1
       9: 1
      10: q+1
      11: 1
      13: 1
      15: q+1
      16: 1
      17: q+1
      18: 1
      25: 1
      26: 1
      28: 1
      29: 1
      32: q+1
      34: q+1
      36: q+1
      38: q+1
      39: 1
      40: 1
      42: q+1
      45: q+1
      51: q+1
      55: q+1
      65: 1
      67: 1
      69: 1
      71: 1
      73: 1
      75: 1
      77: q+1
      85: 1
      91: 1
      95: 1
      98: 1
     102: 1
     113: 1
     115: 1
     117: 1
     119: 1
     121: 1
     123: 1
     127: 1
     139: 1
     143: 1
     150: 1
     156: 1
     160: 1
     165: 1
     169: 1
     183: 1
     185: 1
     189: 1
     203: 1
     235: 1
     239: 1
     240: 1
     283: 1

284:   0: 2q+1
       2: 2q+1
       3: q^2+q+1
       4: 2q+1
       8: 2q+1
      12: q^2+q+1
      23: q+1
      24: q+1
      27: q+1
      30: q+1
      31: 2q+1
      33: 2q+1
      35: 2q+1
      37: 2q+1
      44: q+1
      47: q+1
      48: q+1
      49: q
      52: q+1
      53: q
      64: 1
      66: 1
      68: q+1
      70: q+1
      72: q+1
      74: q+1
      80: q+1
      86: 1
      87: 1
      88: 1
      92: 1
     112: 1
     114: 1
     116: 1
     118: 1
     120: q+1
     122: q+1
     124: 1
     151: 1
     153: 1
     158: 1
     159: 1
     162: 1
     166: 1
     182: 1
     184: 1
     196: 1
     198: 1
     241: 1
     242: 1
     284: 1

285:   0: 2q+1
       2: 2q+1
       3: q^2+q+1
       4: 2q+1
       8: 2q+1
      12: q^2+q+1
      23: q+1
      24: q+1
      27: q+1
      30: q+1
      31: 2q+1
      33: 2q+1
      35: 2q+1
      37: 2q+1
      44: q+1
      47: q+1
      48: q
      49: q+1
      52: q
      53: q+1
      64: 1
      66: 1
      68: q+1
      70: q+1
      72: q+1
      74: q+1
      81: q+1
      86: 1
      87: 1
      89: 1
      93: 1
     112: 1
     114: 1
     116: 1
     118: 1
     120: q+1
     122: q+1
     125: 1
     151: 1
     153: 1
     158: 1
     159: 1
     163: 1
     167: 1
     182: 1
     184: 1
     197: 1
     199: 1
     241: 1
     242: 1
     285: 1

286:   0: 1
       1: 1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
       9: 1
      10: 1
      15: 1
      16: 1
      17: 1
      19: 1
      20: 1
      21: 1
      27: 1
      28: 1
      29: 1
      31: 1
      32: 1
      34: 1
      35: 1
      36: 1
      38: 1
      40: 1
      41: 1
      42: 1
      43: 1
      45: 1
      46: 1
      48: 1
      50: 1
      54: 1
      56: 1
      57: 1
      58: 1
      68: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: 1
      76: 1
      78: 1
      84: 1
      88: 1
      90: 1
      94: 1
      96: 1
      98: 1
      99: 1
     100: 1
     102: 1
     103: 1
     120: 1
     121: 1
     123: 1
     126: 1
     128: 1
     130: 1
     152: 1
     157: 1
     160: 1
     161: 1
     162: 1
     164: 1
     168: 1
     194: 1
     202: 1
     204: 1
     243: 1
     286: 1

287:   0: 1
       1: 1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
       9: 1
      10: 1
      15: 1
      16: 1
      17: 1
      19: 1
      20: 1
      21: 1
      27: 1
      28: 1
      29: 1
      31: 1
      32: 1
      34: 1
      35: 1
      36: 1
      38: 1
      40: 1
      41: 1
      42: 1
      43: 1
      45: 1
      46: 1
      49: 1
      51: 1
      55: 1
      56: 1
      57: 1
      58: 1
      68: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: 1
      77: 1
      79: 1
      84: 1
      89: 1
      91: 1
      95: 1
      96: 1
      98: 1
      99: 1
     100: 1
     102: 1
     103: 1
     120: 1
     121: 1
     123: 1
     127: 1
     129: 1
     131: 1
     152: 1
     157: 1
     160: 1
     161: 1
     163: 1
     165: 1
     169: 1
     195: 1
     203: 1
     205: 1
     243: 1
     287: 1

288:   0: 1
       1: 1
       2: q+1
       3: q+1
       4: q+1
       5: 1
       6: q+1
       7: q+1
       8: q^2+2q+1
       9: q+1
      10: q+1
      15: 1
      16: q+1
      17: q+1
      19: 1
      20: q+1
      21: q+1
      23: 1
      24: q+1
      27: 1
      28: 1
      29: 1
      31: 1
      32: 1
      33: q+1
      34: 1
      35: 1
      36: 1
      37: q+1
      38: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      48: 1
      50: 1
      52: q+1
      54: 1
      56: 1
      57: q+1
      58: q+1
      60: 1
      61: q+1
      64: 1
      68: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: 1
      76: 1
      78: 1
      80: 1
      84: 1
      88: 1
      90: 1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: q+1
     108: 1
     112: 1
     116: 1
     126: 1
     128: 1
     130: 1
     132: 1
     136: 1
     148: 1
     152: 1
     154: 1
     157: 1
     170: 1
     174: 1
     178: 1
     194: 1
     200: 1
     206: 1
     248: 1
     252: 1
     288: 1

289:   0: 1
       1: 1
       2: q+1
       3: q+1
       4: q+1
       5: 1
       6: q+1
       7: q+1
       8: q^2+2q+1
       9: q+1
      10: q+1
      15: 1
      16: q+1
      17: q+1
      19: 1
      20: q+1
      21: q+1
      23: 1
      24: q+1
      27: 1
      28: 1
      29: 1
      31: 1
      32: 1
      33: q+1
      34: 1
      35: 1
      36: 1
      37: q+1
      38: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      49: 1
      51: 1
      53: q+1
      55: 1
      56: 1
      57: q+1
      58: q+1
      60: 1
      61: q+1
      64: 1
      68: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: 1
      77: 1
      79: 1
      81: 1
      84: 1
      89: 1
      91: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: q+1
     108: 1
     112: 1
     116: 1
     127: 1
     129: 1
     131: 1
     133: 1
     137: 1
     148: 1
     152: 1
     154: 1
     157: 1
     170: 1
     174: 1
     178: 1
     195: 1
     201: 1
     207: 1
     248: 1
     252: 1
     289: 1

290:   0: q+1
       1: 1
       3: q+1
       4: q^2+2q+1
       5: 1
       6: 1
       7: q+1
       9: 1
      10: q+1
      11: q+1
      13: q+1
      15: 1
      16: 1
      17: q+1
      18: q+1
      19: 1
      20: 1
      21: q+1
      25: 1
      26: 1
      27: q+1
      28: 1
      29: 1
      31: q+1
      32: 1
      34: 1
      35: q+1
      36: 1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      45: 1
      46: 1
      48: q+1
      50: 1
      54: 1
      56: 1
      57: 1
      58: q+1
      62: 1
      65: 1
      67: 1
      68: q+1
      69: 1
      71: 1
      72: q+1
      73: 1
      75: 1
      76: 1
      78: 1
      84: 1
      85: 1
      88: q+1
      90: 1
      94: 1
      96: 1
      98: 1
      99: 1
     100: 1
     102: 1
     103: 1
     106: 1
     109: 1
     113: 1
     115: 1
     117: 1
     119: 1
     126: 1
     128: 1
     130: 1
     138: 1
     142: 1
     150: 1
     152: 1
     156: 1
     157: 1
     171: 1
     175: 1
     179: 1
     188: 1
     194: 1
     208: 1
     249: 1
     253: 1
     290: 1

291:   0: q+1
       1: 1
       3: q+1
       4: q^2+2q+1
       5: 1
       6: 1
       7: q+1
       9: 1
      10: q+1
      11: q+1
      13: q+1
      15: 1
      16: 1
      17: q+1
      18: q+1
      19: 1
      20: 1
      21: q+1
      25: 1
      26: 1
      27: q+1
      28: 1
      29: 1
      31: q+1
      32: 1
      34: 1
      35: q+1
      36: 1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      45: 1
      46: 1
      49: q+1
      51: 1
      55: 1
      56: 1
      57: 1
      58: q+1
      62: 1
      65: 1
      67: 1
      68: q+1
      69: 1
      71: 1
      72: q+1
      73: 1
      75: 1
      77: 1
      79: 1
      84: 1
      85: 1
      89: q+1
      91: 1
      95: 1
      96: 1
      98: 1
      99: 1
     100: 1
     102: 1
     103: 1
     106: 1
     109: 1
     113: 1
     115: 1
     117: 1
     119: 1
     127: 1
     129: 1
     131: 1
     139: 1
     143: 1
     150: 1
     152: 1
     156: 1
     157: 1
     171: 1
     175: 1
     179: 1
     189: 1
     195: 1
     209: 1
     249: 1
     253: 1
     291: 1

292:   0: q+1
       1: q+1
       2: q+1
       4: 1
       5: q+1
       7: 1
       8: 1
      10: 1
      12: q^2+q+1
      15: q+1
      17: 1
      19: q+1
      21: 1
      23: q+1
      24: 1
      30: 1
      31: 1
      32: 1
      33: 1
      34: 1
      35: 1
      36: 1
      37: 1
      38: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      48: 1
      50: 1
      52: 1
      54: 1
      56: q+1
      58: 1
      60: q+1
      61: 1
      66: 1
      70: 1
      74: 1
      76: 1
      78: 1
      80: 1
      92: 1
      96: 1
      97: 1
     100: 1
     101: 1
     104: q+1
     105: 1
     110: 1
     114: 1
     118: 1
     130: 1
     132: 1
     140: 1
     148: 1
     154: 1
     172: 1
     176: 1
     180: 1
     200: 1
     210: 1
     250: 1
     254: 1
     292: 1

293:   0: q+1
       1: q+1
       2: q+1
       4: 1
       5: q+1
       7: 1
       8: 1
      10: 1
      12: q^2+q+1
      15: q+1
      17: 1
      19: q+1
      21: 1
      23: q+1
      24: 1
      30: 1
      31: 1
      32: 1
      33: 1
      34: 1
      35: 1
      36: 1
      37: 1
      38: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      49: 1
      51: 1
      53: 1
      55: 1
      56: q+1
      58: 1
      60: q+1
      61: 1
      66: 1
      70: 1
      74: 1
      77: 1
      79: 1
      81: 1
      93: 1
      96: 1
      97: 1
     100: 1
     101: 1
     104: q+1
     105: 1
     110: 1
     114: 1
     118: 1
     131: 1
     133: 1
     141: 1
     148: 1
     154: 1
     172: 1
     176: 1
     180: 1
     201: 1
     211: 1
     250: 1
     254: 1
     293: 1

294:   1: 1
       5: 1
       6: 1
       7: q+1
       9: 1
      10: q+1
      11: 1
      13: 1
      14: q+1
      15: 1
      16: 1
      17: q+1
      18: 1
      22: 1
      25: 1
      26: 1
      28: 1
      29: 1
      32: 1
      34: 1
      36: 1
      38: 1
      39: 1
      40: 1
      42: 1
      45: 1
      50: 1
      54: 1
      59: 1
      63: 1
      65: 1
      67: 1
      69: 1
      71: 1
      73: 1
      75: 1
      76: 1
      85: 1
      90: 1
      94: 1
      98: 1
     102: 1
     107: 1
     111: 1
     113: 1
     115: 1
     117: 1
     119: 1
     126: 1
     138: 1
     142: 1
     150: 1
     156: 1
     173: 1
     177: 1
     181: 1
     188: 1
     212: 1
     251: 1
     255: 1
     294: 1

295:   1: 1
       5: 1
       6: 1
       7: q+1
       9: 1
      10: q+1
      11: 1
      13: 1
      14: q+1
      15: 1
      16: 1
      17: q+1
      18: 1
      22: 1
      25: 1
      26: 1
      28: 1
      29: 1
      32: 1
      34: 1
      36: 1
      38: 1
      39: 1
      40: 1
      42: 1
      45: 1
      51: 1
      55: 1
      59: 1
      63: 1
      65: 1
      67: 1
      69: 1
      71: 1
      73: 1
      75: 1
      77: 1
      85: 1
      91: 1
      95: 1
      98: 1
     102: 1
     107: 1
     111: 1
     113: 1
     115: 1
     117: 1
     119: 1
     127: 1
     139: 1
     143: 1
     150: 1
     156: 1
     173: 1
     177: 1
     181: 1
     189: 1
     213: 1
     251: 1
     255: 1
     295: 1

296:   0: 1
       1: 1
       2: 1
       3: 1
       5: 1
       6: 1
       9: 1
      11: 1
      13: 1
      14: 1
      15: 1
      16: 1
      18: 1
      19: 1
      20: 1
      22: 1
      23: 1
      25: 1
      26: 1
      27: 1
      28: 1
      29: 1
      39: 1
      40: 1
      41: 1
      56: 1
      57: 1
      59: 1
      60: 1
      62: 1
      63: 1
      64: 1
      65: 1
      67: 1
      82: 1
      83: 1
      84: 1
      85: 1
     104: 1
     106: 1
     107: 1
     108: 1
     109: 1
     111: 1
     134: 1
     135: 1
     144: 1
     145: 1
     170: 1
     171: 1
     173: 1
     214: 1
     215: 1
     216: 1
     296: 1

297:   0: q+1
       1: 1
       2: q+1
       3: q+1
       4: 1
       5: 1
       6: 1
       7: q^2+1
       8: 1
       9: 1
      10: q^2+1
      11: 1
      12: 1
      13: 1
      15: 1
      16: 1
      17: q^2+1
      18: 1
      19: 1
      20: 1
      21: 1
      23: q+1
      24: 1
      25: 1
      26: 1
      27: q+1
      28: 1
      29: 1
      30: 1
      35: 1
      36: 1
      37: 1
      38: 1
      39: 1
      40: 1
      41: 1
      45: 1
      46: 1
      47: 1
      56: 1
      57: 1
      58: 1
      60: 1
      61: 1
      62: 1
      64: q+1
      65: 1
      66: 1
      67: 1
      72: 1
      73: 1
      74: 1
      75: 1
      83: 1
      84: 1
      85: 1
      86: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: 1
     116: 1
     117: 1
     118: 1
     119: 1
     135: 1
     145: 1
     146: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     170: 1
     171: 1
     172: 1
     216: 1
     217: 1
     218: 1
     226: 1
     297: 1

298:   0: q+1
       1: 1
       2: q+1
       3: q+1
       4: 1
       5: 1
       6: 1
       7: q^2+1
       8: 1
       9: 1
      10: q^2+1
      11: 1
      12: 1
      13: 1
      15: 1
      16: 1
      17: q^2+1
      18: 1
      19: 1
      20: 1
      21: 1
      23: q+1
      24: 1
      25: 1
      26: 1
      27: q+1
      28: 1
      29: 1
      30: 1
      31: 1
      32: 1
      33: 1
      34: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      56: 1
      57: 1
      58: 1
      60: 1
      61: 1
      62: 1
      64: q+1
      65: 1
      66: 1
      67: 1
      68: 1
      69: 1
      70: 1
      71: 1
      83: 1
      84: 1
      85: 1
      87: 1
      96: 1
      97: 1
      98: 1
      99: 1
     104: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: 1
     112: 1
     113: 1
     114: 1
     115: 1
     135: 1
     145: 1
     147: 1
     148: 1
     149: 1
     150: 1
     152: 1
     153: 1
     170: 1
     171: 1
     172: 1
     216: 1
     219: 1
     220: 1
     221: 1
     298: 1

299:   0: q^2+3q+2
       1: 4q+2
       2: 2q+2
       3: q^2+3q+2
       4: 2q+2
       6: 4q+2
       7: 2q^2+4q+2
       8: 2
      11: q^2+2q+1
      12: 2
      19: 2q+2
      20: 2q+2
      21: 2q+2
      23: q+2
      24: 2
      25: 2q+1
      27: q^2+3q+2
      28: 4q+2
      30: 2
      31: q+2
      32: 3q+2
      33: 2
      35: q+2
      36: 3q+2
      37: 2
      41: 2q+2
      43: q+2
      44: 2
      46: q+2
      47: 2
      48: 1
      49: 1
      50: q+1
      51: q+1
      52: 1
      53: 1
      60: 2
      61: 2
      62: q+1
      64: q+2
      65: 2q+1
      66: 2
      68: q+2
      69: 3q+2
      70: 2
      72: q+2
      73: 3q+2
      74: 2
      78: 1
      79: 1
      80: 1
      81: 1
      83: 1
      86: 2
      87: 2
      88: 1
      89: 1
      90: q+1
      91: q+1
      92: 1
      93: 1
      97: 2
      99: q+2
     101: 2
     103: q+2
     108: 2
     109: q+1
     110: 2
     112: 1
     113: q+1
     114: 1
     116: 1
     117: q+1
     118: 1
     120: 2
     121: 2
     124: 1
     125: 1
     128: 1
     129: 1
     132: 1
     133: 1
     145: 1
     146: 2
     147: 2
     149: 1
     153: 1
     155: 1
     158: 1
     161: 2
     162: 1
     163: 1
     164: 1
     165: 1
     182: 1
     183: 1
     192: 1
     193: 1
     204: 1
     205: 1
     218: 1
     220: 1
     231: 1
     244: 1
     245: 1
     299: 1

300:   1: 2
       5: 2
       6: 2
       7: 2
       9: 2
      10: 2
      11: q^2+1
      13: q^2+1
      15: 2
      16: 2
      17: 2
      18: q^2+1
      25: 1
      26: 1
      28: 2
      29: 2
      32: 2
      34: 2
      36: 2
      38: 2
      39: 1
      40: 2
      42: 2
      45: 2
      50: 1
      51: 1
      54: 1
      55: 1
      65: 1
      67: 1
      69: 2
      71: 2
      73: 2
      75: 2
      76: 1
      77: 1
      85: 1
      90: 1
      91: 1
      94: 1
      95: 1
      98: 2
     102: 2
     113: 1
     115: 1
     117: 1
     119: 1
     121: 2
     123: 2
     126: 1
     127: 1
     150: 1
     156: 1
     160: 2
     164: 1
     165: 1
     168: 1
     169: 1
     183: 1
     185: 1
     202: 1
     203: 1
     240: 1
     245: 1
     247: 1
     300: 1

301:   0: q+1
       2: q+1
       3: q+1
       4: 1
       8: 1
      12: 1
      23: q+1
      24: 1
      27: q+1
      30: 1
      31: 1
      33: 1
      35: 1
      37: 1
      44: 1
      47: 1
      48: 1
      52: 1
      64: q+1
      66: 1
      68: 1
      70: 1
      72: 1
      74: 1
      80: 1
      86: 1
      87: 1
      88: 1
      92: 1
     112: 1
     114: 1
     116: 1
     118: 1
     120: 1
     124: 1
     136: 1
     140: 1
     153: 1
     158: 1
     162: 1
     182: 1
     190: 1
     232: 1
     244: 1
     301: 1

302:   0: q+1
       2: q+1
       3: q+1
       4: 1
       8: 1
      12: 1
      23: q+1
      24: 1
      27: q+1
      30: 1
      31: 1
      33: 1
      35: 1
      37: 1
      44: 1
      47: 1
      49: 1
      53: 1
      64: q+1
      66: 1
      68: 1
      70: 1
      72: 1
      74: 1
      81: 1
      86: 1
      87: 1
      89: 1
      93: 1
     112: 1
     114: 1
     116: 1
     118: 1
     120: 1
     125: 1
     137: 1
     141: 1
     153: 1
     158: 1
     163: 1
     182: 1
     191: 1
     233: 1
     244: 1
     302: 1

303:   1: 1
       6: 1
       7: 1
      11: 1
      25: 1
      28: 1
      32: 1
      36: 1
      50: 1
      65: 1
      69: 1
      73: 1
      90: 1
     113: 1
     117: 1
     121: 1
     138: 1
     164: 1
     183: 1
     234: 1
     245: 1
     303: 1

304:   1: 1
       6: 1
       7: 1
      11: 1
      25: 1
      28: 1
      32: 1
      36: 1
      51: 1
      65: 1
      69: 1
      73: 1
      91: 1
     113: 1
     117: 1
     121: 1
     139: 1
     165: 1
     183: 1
     235: 1
     245: 1
     304: 1

305:   0: 1
       2: 1
       3: 1
       4: q+1
       8: q+1
      12: q+1
      23: 1
      24: q+1
      27: 1
      30: q+1
      31: 1
      33: 1
      35: 1
      37: 1
      44: 1
      47: 1
      48: 1
      52: 1
      64: 1
      66: q+1
      68: 1
      70: 1
      72: 1
      74: 1
      80: 1
      86: 1
      87: 1
      88: 1
      92: 1
     112: 1
     114: 1
     116: 1
     118: 1
     122: 1
     124: 1
     136: 1
     140: 1
     153: 1
     158: 1
     166: 1
     184: 1
     190: 1
     236: 1
     246: 1
     305: 1

306:   0: 1
       2: 1
       3: 1
       4: q+1
       8: q+1
      12: q+1
      23: 1
      24: q+1
      27: 1
      30: q+1
      31: 1
      33: 1
      35: 1
      37: 1
      44: 1
      47: 1
      49: 1
      53: 1
      64: 1
      66: q+1
      68: 1
      70: 1
      72: 1
      74: 1
      81: 1
      86: 1
      87: 1
      89: 1
      93: 1
     112: 1
     114: 1
     116: 1
     118: 1
     122: 1
     125: 1
     137: 1
     141: 1
     153: 1
     158: 1
     167: 1
     184: 1
     191: 1
     237: 1
     246: 1
     306: 1

307:   5: 1
       9: 1
      10: 1
      13: 1
      26: 1
      29: 1
      34: 1
      38: 1
      54: 1
      67: 1
      71: 1
      75: 1
      94: 1
     115: 1
     119: 1
     123: 1
     142: 1
     168: 1
     185: 1
     238: 1
     247: 1
     307: 1

308:   5: 1
       9: 1
      10: 1
      13: 1
      26: 1
      29: 1
      34: 1
      38: 1
      55: 1
      67: 1
      71: 1
      75: 1
      95: 1
     115: 1
     119: 1
     123: 1
     143: 1
     169: 1
     185: 1
     239: 1
     247: 1
     308: 1

309:   0: 1
       1: 1
       2: 1
       3: q+1
       4: 1
       5: q^2+1
       6: q+1
       7: 1
       8: 1
       9: 1
      10: q^2+1
      11: q+1
      13: 1
      14: 1
      15: 1
      16: 1
      17: 1
      18: 1
      19: 1
      20: q+1
      21: 1
      22: 1
      23: 1
      24: 1
      25: q+1
      26: 1
      27: 1
      28: 1
      29: 1
      31: 1
      32: 1
      33: 1
      34: q^2+1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: q+1
      63: 1
      64: 1
      65: 1
      67: 1
      68: 1
      69: 1
      71: 1
      82: 1
      83: 1
      84: 1
      85: 1
      96: 1
      97: 1
      98: 1
      99: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: 1
     109: 1
     111: 1
     112: 1
     113: 1
     115: 1
     134: 1
     135: 1
     144: 1
     145: 1
     148: 1
     149: 1
     150: 1
     152: 1
     174: 1
     175: 1
     177: 1
     214: 1
     221: 1
     222: 1
     223: 1
     309: 1

310:   0: 1
       1: 1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
       9: 1
      10: 1
      11: q+1
      13: q+1
      14: q+1
      15: 1
      16: 1
      17: 1
      18: q+1
      19: 1
      20: 1
      21: 1
      22: q+1
      25: 1
      26: 1
      27: 1
      28: 1
      29: 1
      31: 1
      32: 1
      34: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      56: 1
      57: 1
      58: 1
      59: q+1
      62: 1
      63: 1
      65: 1
      67: 1
      68: 1
      69: 1
      71: 1
      82: 1
      84: 1
      85: 1
      96: 1
      98: 1
      99: 1
     106: 1
     107: 1
     109: 1
     111: 1
     113: 1
     115: 1
     134: 1
     144: 1
     150: 1
     152: 1
     171: 1
     173: 1
     175: 1
     177: 1
     215: 1
     222: 1
     249: 1
     251: 1
     310: 1

311:   0: q+1
       1: 1
       2: q+1
       3: q^2+2q+1
       4: q+1
       5: 1
       6: q+1
       7: 1
       8: q+1
       9: q+1
      10: 1
      11: q+1
      13: q+1
      15: 1
      16: q+1
      17: 1
      18: q+1
      19: 1
      20: q+1
      21: 1
      23: q+1
      24: q+1
      25: q+1
      26: q+1
      27: q+1
      28: 1
      29: 1
      31: q+1
      32: 1
      33: q+1
      34: 1
      39: q+1
      40: 1
      41: 1
      42: 1
      43: 1
      44: q+1
      56: 1
      57: q+1
      58: 1
      60: 1
      61: 1
      62: q+1
      64: q+1
      65: 1
      67: 1
      68: q+1
      69: 1
      71: 1
      83: 1
      84: 1
      85: 1
      96: 1
      97: 1
      98: 1
      99: 1
     104: 1
     105: 1
     106: q+1
     108: 1
     109: 1
     112: q+1
     113: 1
     115: 1
     135: 1
     145: 1
     148: 1
     149: 1
     150: 1
     152: 1
     170: 1
     171: 1
     174: 1
     175: 1
     216: 1
     221: 1
     223: 1
     248: 1
     249: 1
     311: 1

312:   0: q+2
       1: q+2
       2: q+2
       3: q+1
       4: q+2
       5: q+2
       6: q+1
       7: q+2
       8: q+2
       9: q+1
      10: q+2
      12: q+1
      15: q+2
      16: q+1
      17: q+2
      19: q+2
      20: q+1
      21: q+2
      23: 2
      24: 2
      27: 1
      28: 1
      29: 1
      30: 1
      31: q+2
      32: q+2
      33: q+2
      34: q+2
      35: 2
      36: 2
      37: 2
      38: 2
      40: 1
      41: 1
      42: q+2
      43: q+2
      44: 2
      45: 2
      46: 2
      47: 2
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: q+2
      57: q+1
      58: q+2
      60: 2
      61: 2
      64: 1
      66: 1
      68: 1
      69: 1
      70: 1
      71: 1
      72: 1
      73: 1
      74: 1
      75: 1
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: 1
      84: 1
      86: 1
      96: q+2
      97: 2
      98: 1
      99: 1
     100: 2
     101: 2
     102: 1
     103: 1
     104: 2
     105: 2
     108: 1
     110: 1
     112: 1
     114: 1
     120: 1
     121: 1
     122: 1
     123: 1
     130: 1
     131: 1
     132: 1
     133: 1
     146: 1
     148: 2
     151: 1
     152: 1
     154: 2
     157: 1
     160: 1
     161: 1
     170: 1
     172: 1
     174: 1
     176: 1
     200: 1
     201: 1
     217: 1
     224: 1
     243: 1
     248: 1
     250: 1
     312: 1

313:   0: q+2
       1: q^2+2
       2: q+2
       3: q^2+2q+1
       4: q+2
       6: q+1
       7: q^2+2
       8: q+2
      11: q+1
      12: q+1
      19: 2
      20: q+1
      21: 2
      23: q+2
      24: q+2
      25: q+1
      27: q+1
      28: 1
      30: 1
      31: q+2
      32: q^2+2
      33: q+2
      35: 2
      36: 2
      37: 2
      41: 1
      43: 2
      44: q+2
      46: 2
      47: 2
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      60: 2
      61: 2
      62: q+1
      64: q+1
      65: 1
      66: 1
      68: q+1
      69: 1
      70: 1
      72: 1
      73: 1
      74: 1
      78: 1
      79: 1
      80: 1
      81: 1
      83: 1
      86: 1
      97: 2
      99: 1
     101: 2
     103: 1
     108: 1
     109: 1
     110: 1
     112: q+1
     113: 1
     114: 1
     116: 1
     117: 1
     118: 1
     120: 1
     121: 1
     122: 1
     132: 1
     133: 1
     145: 1
     146: 1
     149: 1
     151: 1
     155: 1
     158: 1
     161: 1
     174: 1
     175: 1
     176: 1
     182: 1
     183: 1
     184: 1
     218: 1
     223: 1
     224: 1
     231: 1
     241: 1
     313: 1

314:   0: 1
       1: 1
       2: q+1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
       8: q+1
       9: 1
      10: 1
      12: q+1
      15: 1
      16: 1
      17: 1
      19: 1
      20: 1
      21: 1
      23: 1
      24: 1
      27: 1
      28: 1
      29: 1
      30: q+1
      31: 1
      32: 1
      33: q+1
      34: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      56: 1
      57: 1
      58: 1
      60: 1
      61: 1
      64: 1
      66: 1
      68: 1
      69: 1
      70: q+1
      71: 1
      84: 1
      87: 1
      96: 1
      97: 1
      98: 1
      99: 1
     104: 1
     105: 1
     108: 1
     110: 1
     112: 1
     114: 1
     147: 1
     148: 1
     152: 1
     153: 1
     170: 1
     172: 1
     174: 1
     176: 1
     219: 1
     225: 1
     248: 1
     250: 1
     314: 1

315:   0: 1
       1: 1
       2: 1
       3: 1
       4: 1
       6: 1
       7: 1
       8: 1
      11: 1
      12: 1
      19: 1
      20: 1
      21: 1
      23: 1
      24: 1
      25: 1
      27: 1
      28: 1
      30: 1
      31: 1
      32: 1
      33: 1
      41: 1
      43: 1
      44: 1
      60: 1
      61: 1
      62: 1
      64: 1
      65: 1
      66: 1
      68: 1
      69: 1
      70: 1
      83: 1
      87: 1
      97: 1
      99: 1
     108: 1
     109: 1
     110: 1
     112: 1
     113: 1
     114: 1
     145: 1
     147: 1
     149: 1
     153: 1
     174: 1
     175: 1
     176: 1
     220: 1
     223: 1
     225: 1
     315: 1

316:   0: q+2
       2: q+2
       3: q+2
       4: q+2
       8: q+2
      12: q+2
      23: 2
      24: 2
      27: q+2
      30: q+2
      31: q+2
      33: q+2
      35: 2
      37: 2
      44: 2
      47: 2
      48: 1
      49: 1
      52: 1
      53: 1
      64: 2
      66: 2
      68: q+2
      70: q+2
      72: 2
      74: 2
      80: 1
      81: 1
      86: 2
      87: 2
      88: 1
      89: 1
      92: 1
      93: 1
     112: 2
     114: 2
     116: 1
     118: 1
     120: 2
     122: 2
     124: 1
     125: 1
     151: 2
     153: 2
     158: 1
     162: 1
     163: 1
     166: 1
     167: 1
     182: 1
     184: 1
     196: 1
     197: 1
     241: 1
     244: 1
     246: 1
     316: 1

317:   0: 1
       1: 1
       2: 1
       3: q+1
       4: 1
       5: q^2+1
       6: q+1
       7: 1
       8: 1
       9: 1
      10: q^2+1
      11: q+1
      13: 1
      14: 1
      15: 1
      16: 1
      17: 1
      18: 1
      19: 1
      20: q+1
      21: 1
      22: 1
      23: 1
      24: 1
      25: q+1
      26: 1
      27: 1
      28: 1
      29: 1
      35: 1
      36: 1
      37: 1
      38: q^2+1
      39: 1
      40: 1
      41: 1
      45: 1
      46: 1
      47: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: q+1
      63: 1
      64: 1
      65: 1
      67: 1
      72: 1
      73: 1
      75: 1
      82: 1
      83: 1
      84: 1
      85: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: 1
     109: 1
     111: 1
     116: 1
     117: 1
     119: 1
     134: 1
     135: 1
     144: 1
     145: 1
     154: 1
     155: 1
     156: 1
     157: 1
     178: 1
     179: 1
     181: 1
     214: 1
     226: 1
     227: 1
     228: 1
     317: 1

318:   0: 1
       1: 1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
       9: 1
      10: 1
      11: q+1
      13: q+1
      14: q+1
      15: 1
      16: 1
      17: 1
      18: q+1
      19: 1
      20: 1
      21: 1
      22: q+1
      25: 1
      26: 1
      27: 1
      28: 1
      29: 1
      35: 1
      36: 1
      38: 1
      39: 1
      40: 1
      41: 1
      45: 1
      46: 1
      56: 1
      57: 1
      58: 1
      59: q+1
      62: 1
      63: 1
      65: 1
      67: 1
      72: 1
      73: 1
      75: 1
      82: 1
      84: 1
      85: 1
     100: 1
     102: 1
     103: 1
     106: 1
     107: 1
     109: 1
     111: 1
     117: 1
     119: 1
     134: 1
     144: 1
     156: 1
     157: 1
     171: 1
     173: 1
     179: 1
     181: 1
     215: 1
     227: 1
     253: 1
     255: 1
     318: 1

319:   0: q+1
       1: 1
       2: q+1
       3: q^2+2q+1
       4: q+1
       5: 1
       6: q+1
       7: 1
       8: q+1
       9: q+1
      10: 1
      11: q+1
      13: q+1
      15: 1
      16: q+1
      17: 1
      18: q+1
      19: 1
      20: q+1
      21: 1
      23: q+1
      24: q+1
      25: q+1
      26: q+1
      27: q+1
      28: 1
      29: 1
      35: q+1
      36: 1
      37: q+1
      38: 1
      39: q+1
      40: 1
      41: 1
      45: 1
      46: 1
      47: q+1
      56: 1
      57: q+1
      58: 1
      60: 1
      61: 1
      62: q+1
      64: q+1
      65: 1
      67: 1
      72: q+1
      73: 1
      75: 1
      83: 1
      84: 1
      85: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: q+1
     108: 1
     109: 1
     116: q+1
     117: 1
     119: 1
     135: 1
     145: 1
     154: 1
     155: 1
     156: 1
     157: 1
     170: 1
     171: 1
     178: 1
     179: 1
     216: 1
     226: 1
     228: 1
     252: 1
     253: 1
     319: 1

320:   0: 1
       1: 1
       2: q+1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
       8: q+1
       9: 1
      10: 1
      12: q+1
      15: 1
      16: 1
      17: 1
      19: 1
      20: 1
      21: 1
      23: 1
      24: 1
      27: 1
      28: 1
      29: 1
      30: q+1
      35: 1
      36: 1
      37: q+1
      38: 1
      40: 1
      41: 1
      45: 1
      46: 1
      47: 1
      56: 1
      57: 1
      58: 1
      60: 1
      61: 1
      64: 1
      66: 1
      72: 1
      73: 1
      74: q+1
      75: 1
      84: 1
      86: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     108: 1
     110: 1
     116: 1
     118: 1
     146: 1
     154: 1
     157: 1
     158: 1
     170: 1
     172: 1
     178: 1
     180: 1
     217: 1
     229: 1
     252: 1
     254: 1
     320: 1

321:   0: 1
       1: 1
       2: 1
       3: 1
       4: 1
       6: 1
       7: 1
       8: 1
      11: 1
      12: 1
      19: 1
      20: 1
      21: 1
      23: 1
      24: 1
      25: 1
      27: 1
      28: 1
      30: 1
      35: 1
      36: 1
      37: 1
      41: 1
      46: 1
      47: 1
      60: 1
      61: 1
      62: 1
      64: 1
      65: 1
      66: 1
      72: 1
      73: 1
      74: 1
      83: 1
      86: 1
     101: 1
     103: 1
     108: 1
     109: 1
     110: 1
     116: 1
     117: 1
     118: 1
     145: 1
     146: 1
     155: 1
     158: 1
     178: 1
     179: 1
     180: 1
     218: 1
     228: 1
     229: 1
     321: 1

322:   0: q+2
       1: q+2
       2: q+2
       3: q+1
       4: q+2
       5: q+2
       6: q+1
       7: q+2
       8: q+2
       9: q+1
      10: q+2
      12: q+1
      15: q+2
      16: q+1
      17: q+2
      19: q+2
      20: q+1
      21: q+2
      23: 2
      24: 2
      27: 1
      28: 1
      29: 1
      30: 1
      31: 2
      32: 2
      33: 2
      34: 2
      35: q+2
      36: q+2
      37: q+2
      38: q+2
      40: 1
      41: 1
      42: 2
      43: 2
      44: 2
      45: q+2
      46: q+2
      47: 2
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: q+2
      57: q+1
      58: q+2
      60: 2
      61: 2
      64: 1
      66: 1
      68: 1
      69: 1
      70: 1
      71: 1
      72: 1
      73: 1
      74: 1
      75: 1
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: 1
      84: 1
      87: 1
      96: 2
      97: 2
      98: 1
      99: 1
     100: q+2
     101: 2
     102: 1
     103: 1
     104: 2
     105: 2
     108: 1
     110: 1
     116: 1
     118: 1
     120: 1
     121: 1
     122: 1
     123: 1
     130: 1
     131: 1
     132: 1
     133: 1
     147: 1
     148: 2
     152: 1
     154: 2
     157: 1
     159: 1
     160: 1
     161: 1
     170: 1
     172: 1
     178: 1
     180: 1
     200: 1
     201: 1
     219: 1
     230: 1
     243: 1
     252: 1
     254: 1
     322: 1

323:   0: q+2
       1: q^2+2
       2: q+2
       3: q^2+2q+1
       4: q+2
       6: q+1
       7: q^2+2
       8: q+2
      11: q+1
      12: q+1
      19: 2
      20: q+1
      21: 2
      23: q+2
      24: q+2
      25: q+1
      27: q+1
      28: 1
      30: 1
      31: 2
      32: 2
      33: 2
      35: q+2
      36: q^2+2
      37: q+2
      41: 1
      43: 2
      44: 2
      46: 2
      47: q+2
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      60: 2
      61: 2
      62: q+1
      64: q+1
      65: 1
      66: 1
      68: 1
      69: 1
      70: 1
      72: q+1
      73: 1
      74: 1
      78: 1
      79: 1
      80: 1
      81: 1
      83: 1
      87: 1
      97: 2
      99: 1
     101: 2
     103: 1
     108: 1
     109: 1
     110: 1
     112: 1
     113: 1
     114: 1
     116: q+1
     117: 1
     118: 1
     120: 1
     121: 1
     122: 1
     132: 1
     133: 1
     145: 1
     147: 1
     149: 1
     153: 1
     155: 1
     159: 1
     161: 1
     178: 1
     179: 1
     180: 1
     182: 1
     183: 1
     184: 1
     220: 1
     228: 1
     230: 1
     231: 1
     242: 1
     323: 1

324:   0: q+2
       2: q+2
       3: q+2
       4: q+2
       8: q+2
      12: q+2
      23: 2
      24: 2
      27: q+2
      30: q+2
      31: 2
      33: 2
      35: q+2
      37: q+2
      44: 2
      47: 2
      48: 1
      49: 1
      52: 1
      53: 1
      64: 2
      66: 2
      68: 2
      70: 2
      72: q+2
      74: q+2
      80: 1
      81: 1
      86: 2
      87: 2
      88: 1
      89: 1
      92: 1
      93: 1
     112: 1
     114: 1
     116: 2
     118: 2
     120: 2
     122: 2
     124: 1
     125: 1
     153: 1
     158: 2
     159: 2
     162: 1
     163: 1
     166: 1
     167: 1
     182: 1
     184: 1
     198: 1
     199: 1
     242: 1
     244: 1
     246: 1
     324: 1

325:   0: 1
       1: 1
       2: q+1
       3: q+1
       4: 1
       6: q+1
       7: 1
       8: q+1
      19: 1
      20: q+1
      21: 1
      23: 1
      24: 1
      27: 1
      28: 1
      31: 1
      32: 1
      33: q+1
      35: 1
      36: 1
      37: q+1
      41: 1
      43: 1
      44: 1
      46: 1
      47: 1
      48: 1
      50: 1
      52: q+1
      60: 1
      61: 1
      64: 1
      68: 1
      69: 1
      72: 1
      73: 1
      78: 1
      80: 1
      88: 1
      90: 1
      97: 1
      99: 1
     101: 1
     103: 1
     108: 1
     112: 1
     116: 1
     120: 1
     121: 1
     128: 1
     132: 1
     136: 1
     161: 1
     162: 1
     164: 1
     174: 1
     178: 1
     182: 1
     204: 1
     206: 1
     232: 1
     256: 1
     325: 1

326:   0: 1
       1: 1
       2: q+1
       3: q+1
       4: 1
       6: q+1
       7: 1
       8: q+1
      19: 1
      20: q+1
      21: 1
      23: 1
      24: 1
      27: 1
      28: 1
      31: 1
      32: 1
      33: q+1
      35: 1
      36: 1
      37: q+1
      41: 1
      43: 1
      44: 1
      46: 1
      47: 1
      49: 1
      51: 1
      53: q+1
      60: 1
      61: 1
      64: 1
      68: 1
      69: 1
      72: 1
      73: 1
      79: 1
      81: 1
      89: 1
      91: 1
      97: 1
      99: 1
     101: 1
     103: 1
     108: 1
     112: 1
     116: 1
     120: 1
     121: 1
     129: 1
     133: 1
     137: 1
     161: 1
     163: 1
     165: 1
     174: 1
     178: 1
     182: 1
     205: 1
     207: 1
     233: 1
     256: 1
     326: 1

327:   0: q+1
       1: q+1
       3: 1
       4: q+1
       6: 1
       7: q+1
      11: q+1
      19: q+1
      20: 1
      21: q+1
      25: 1
      27: 1
      28: 1
      31: q+1
      32: q+1
      35: q+1
      36: q+1
      41: 1
      43: q+1
      46: q+1
      48: q+1
      50: q+1
      62: 1
      65: 1
      68: 1
      69: 1
      72: 1
      73: 1
      78: q+1
      88: 1
      90: 1
      99: 1
     103: 1
     109: 1
     113: 1
     117: 1
     120: 1
     121: 1
     128: 1
     138: 1
     161: 1
     162: 1
     164: 1
     175: 1
     179: 1
     183: 1
     204: 1
     208: 1
     234: 1
     257: 1
     327: 1

328:   0: q+1
       1: q+1
       3: 1
       4: q+1
       6: 1
       7: q+1
      11: q+1
      19: q+1
      20: 1
      21: q+1
      25: 1
      27: 1
      28: 1
      31: q+1
      32: q+1
      35: q+1
      36: q+1
      41: 1
      43: q+1
      46: q+1
      49: q+1
      51: q+1
      62: 1
      65: 1
      68: 1
      69: 1
      72: 1
      73: 1
      79: q+1
      89: 1
      91: 1
      99: 1
     103: 1
     109: 1
     113: 1
     117: 1
     120: 1
     121: 1
     129: 1
     139: 1
     161: 1
     163: 1
     165: 1
     175: 1
     179: 1
     183: 1
     205: 1
     209: 1
     235: 1
     257: 1
     328: 1

329:   0: 1
       1: 1
       2: 1
       4: 1
       7: 1
       8: 1
      12: q^2+q+1
      19: 1
      21: 1
      23: 1
      24: 1
      30: 1
      31: 1
      32: 1
      33: 1
      35: 1
      36: 1
      37: 1
      43: 1
      44: 1
      46: 1
      47: 1
      48: 1
      50: 1
      52: 1
      60: 1
      61: 1
      66: 1
      70: 1
      74: 1
      78: 1
      80: 1
      92: 1
      97: 1
     101: 1
     110: 1
     114: 1
     118: 1
     122: 1
     132: 1
     140: 1
     166: 1
     176: 1
     180: 1
     184: 1
     210: 1
     236: 1
     258: 1
     329: 1

330:   0: 1
       1: 1
       2: 1
       4: 1
       7: 1
       8: 1
      12: q^2+q+1
      19: 1
      21: 1
      23: 1
      24: 1
      30: 1
      31: 1
      32: 1
      33: 1
      35: 1
      36: 1
      37: 1
      43: 1
      44: 1
      46: 1
      47: 1
      49: 1
      51: 1
      53: 1
      60: 1
      61: 1
      66: 1
      70: 1
      74: 1
      79: 1
      81: 1
      93: 1
      97: 1
     101: 1
     110: 1
     114: 1
     118: 1
     122: 1
     133: 1
     141: 1
     167: 1
     176: 1
     180: 1
     184: 1
     211: 1
     237: 1
     258: 1
     330: 1

331:   5: q+1
       9: 1
      10: q+1
      13: 1
      14: 1
      22: 1
      26: 1
      29: 1
      34: q+1
      38: q+1
      54: q+1
      63: 1
      67: 1
      71: 1
      75: 1
      94: 1
     111: 1
     115: 1
     119: 1
     123: 1
     142: 1
     168: 1
     177: 1
     181: 1
     185: 1
     212: 1
     238: 1
     259: 1
     331: 1

332:   5: q+1
       9: 1
      10: q+1
      13: 1
      14: 1
      22: 1
      26: 1
      29: 1
      34: q+1
      38: q+1
      55: q+1
      63: 1
      67: 1
      71: 1
      75: 1
      95: 1
     111: 1
     115: 1
     119: 1
     123: 1
     143: 1
     169: 1
     177: 1
     181: 1
     185: 1
     213: 1
     239: 1
     259: 1
     332: 1

333:   0: 2
       1: 2q+2
       2: 2
       3: q^2+2q+1
       4: 2
       5: 2q+2
       6: q+1
       7: 2q+2
       8: 2
       9: q+1
      10: 2q+2
      11: q+1
      13: q+1
      15: 2q+2
      16: q+1
      17: 2q+2
      18: q+1
      19: 2
      20: q+1
      21: 2
      23: 2
      24: 2
      25: q+1
      26: q+1
      27: 1
      28: 1
      29: 1
      31: 2
      32: 2q+2
      33: 2
      34: 2q+2
      35: 2
      36: 2q+2
      37: 2
      38: 2q+2
      39: q+1
      40: 1
      41: 1
      42: 2q+2
      43: 2
      44: 2
      45: 2q+2
      46: 2
      47: 2
      48: 1
      49: 1
      50: q+1
      51: q+1
      52: 1
      53: 1
      54: q+1
      55: q+1
      56: 2
      57: q+1
      58: 2
      60: 2
      61: 2
      62: q+1
      64: 1
      65: 1
      67: 1
      68: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: 1
      76: q+1
      77: q+1
      78: 1
      79: 1
      80: 1
      81: 1
      83: 1
      84: 1
      85: 1
      96: 2
      97: 2
      98: 1
      99: 1
     100: 2
     101: 2
     102: 1
     103: 1
     104: 2
     105: 2
     106: q+1
     112: 1
     113: 1
     115: 1
     116: 1
     117: 1
     119: 1
     120: 1
     121: 1
     123: 1
     130: 1
     131: 1
     132: 1
     133: 1
     135: 1
     148: 2
     149: 1
     150: 1
     152: 1
     154: 2
     155: 1
     156: 1
     157: 1
     160: 1
     161: 1
     182: 1
     183: 1
     185: 1
     200: 1
     201: 1
     221: 1
     226: 1
     231: 1
     240: 1
     243: 1
     333: 1

334:   0: 2
       1: 2
       3: q+1
       4: 2
       5: 2q+2
       6: q+1
       7: 2
       9: q^2+2q+1
      10: 2q+2
      11: q^2+2q+1
      13: q+1
      14: q+1
      15: 2
      16: q+1
      17: 2
      18: q+1
      19: 2
      20: q+1
      21: 2
      22: q+1
      25: q+1
      26: q+1
      27: 1
      28: 1
      29: q+1
      31: 2
      32: 2
      34: 2q+2
      35: 2
      36: 2
      38: 2q+2
      39: q+1
      40: 1
      41: 1
      42: 2
      43: 2
      45: 2
      46: 2
      48: 1
      49: 1
      50: 1
      51: 1
      54: q+1
      55: q+1
      56: 2
      57: q+1
      58: 2
      59: q+1
      62: q+1
      63: q+1
      65: 1
      67: 1
      68: 1
      69: 1
      71: q+1
      72: 1
      73: 1
      75: q+1
      76: 1
      77: 1
      78: 1
      79: 1
      82: q+1
      84: 1
      85: 1
      96: 2
      98: 1
      99: 1
     100: 2
     102: 1
     103: 1
     109: 1
     111: 1
     113: 1
     115: 1
     117: 1
     119: 1
     120: 1
     121: 1
     123: q+1
     130: 1
     131: 1
     144: 1
     150: 1
     152: 1
     156: 1
     157: 1
     160: 1
     161: 1
     175: 1
     177: 1
     179: 1
     181: 1
     183: 1
     185: 1
     222: 1
     227: 1
     240: 1
     243: 1
     257: 1
     259: 1
     334: 1

335:   0: 2
       1: 2
       2: 2
       3: 2q+1
       4: 2
       6: 2q+1
       7: 2
       8: 2
      11: 2q+1
      19: 2
      20: 2q+1
      21: 2
      23: 2
      24: 2
      25: 2q+1
      27: 1
      28: 1
      31: 2
      32: 2
      33: 2
      35: 2
      36: 2
      37: 2
      41: 1
      43: 2
      44: 2
      46: 2
      47: 2
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      60: 2
      61: 2
      62: 2q+1
      64: 1
      65: 1
      68: 1
      69: 1
      72: 1
      73: 1
      78: 1
      79: 1
      80: 1
      81: 1
      83: 1
      97: 2
      99: 1
     101: 2
     103: 1
     108: 1
     109: 1
     112: 1
     113: 1
     116: 1
     117: 1
     120: 1
     121: 1
     132: 1
     133: 1
     145: 1
     149: 1
     155: 1
     161: 1
     174: 1
     175: 1
     178: 1
     179: 1
     182: 1
     183: 1
     223: 1
     228: 1
     231: 1
     256: 1
     257: 1
     335: 1

336:   0: 2
       1: 2
       2: 2q+2
       3: q+1
       4: 2
       6: q+1
       7: 2
       8: 2q+2
      12: q^2+2q+1
      19: 2
      20: q+1
      21: 2
      23: 2
      24: 2
      27: 1
      28: 1
      30: q+1
      31: 2
      32: 2
      33: 2q+2
      35: 2
      36: 2
      37: 2q+2
      41: 1
      43: 2
      44: 2
      46: 2
      47: 2
      48: 1
      49: 1
      50: 1
      51: 1
      52: q+1
      53: q+1
      60: 2
      61: 2
      64: 1
      66: 1
      68: 1
      69: 1
      70: q+1
      72: 1
      73: 1
      74: q+1
      78: 1
      79: 1
      80: 1
      81: 1
      86: 1
      97: 2
      99: 1
     101: 2
     103: 1
     108: 1
     110: 1
     112: 1
     114: 1
     116: 1
     118: 1
     120: 1
     121: 1
     122: q+1
     132: 1
     133: 1
     146: 1
     151: 1
     158: 1
     161: 1
     174: 1
     176: 1
     178: 1
     180: 1
     182: 1
     184: 1
     224: 1
     229: 1
     241: 1
     256: 1
     258: 1
     336: 1

337:   0: 2
       1: 2
       2: 2q+2
       3: q+1
       4: 2
       6: q+1
       7: 2
       8: 2q+2
      12: q^2+2q+1
      19: 2
      20: q+1
      21: 2
      23: 2
      24: 2
      27: 1
      28: 1
      30: q+1
      31: 2
      32: 2
      33: 2q+2
      35: 2
      36: 2
      37: 2q+2
      41: 1
      43: 2
      44: 2
      46: 2
      47: 2
      48: 1
      49: 1
      50: 1
      51: 1
      52: q+1
      53: q+1
      60: 2
      61: 2
      64: 1
      66: 1
      68: 1
      69: 1
      70: q+1
      72: 1
      73: 1
      74: q+1
      78: 1
      79: 1
      80: 1
      81: 1
      87: 1
      97: 2
      99: 1
     101: 2
     103: 1
     108: 1
     110: 1
     112: 1
     114: 1
     116: 1
     118: 1
     120: 1
     121: 1
     122: q+1
     132: 1
     133: 1
     147: 1
     153: 1
     159: 1
     161: 1
     174: 1
     176: 1
     178: 1
     180: 1
     182: 1
     184: 1
     225: 1
     230: 1
     242: 1
     256: 1
     258: 1
     337: 1

338:   0: 3q+2
       1: 3q+2
       2: 2q^2+4q+2
       3: 3q+2
       4: 2q+2
       6: 3q+2
       7: 2q+2
       8: 2q+2
      12: 2q+2
      19: 3q+2
      20: 3q+2
      21: 2q+2
      23: q+2
      24: 2
      27: 3q+2
      28: 3q+2
      30: 2q+2
      31: q+2
      32: q+2
      33: 2q+2
      35: q+2
      36: q+2
      37: 2q+2
      41: 3q+2
      43: q+2
      44: 2
      46: q+2
      47: 2
      48: 1
      49: 1
      50: 1
      51: 1
      52: q+1
      53: q+1
      60: q+2
      61: 2
      64: q+2
      66: 2
      68: q+2
      69: q+2
      70: 2q+2
      72: q+2
      73: q+2
      74: 2q+2
      78: 1
      79: 1
      80: 1
      81: 1
      86: 2
      87: 2
      88: 1
      89: 1
      90: 1
      91: 1
      92: q+1
      93: q+1
      97: 2
      99: q+2
     101: 2
     103: q+2
     108: q+2
     110: 2
     112: 1
     114: 1
     116: 1
     118: 1
     120: 2
     121: 2
     124: 1
     125: 1
     128: 1
     129: 1
     132: 1
     133: 1
     146: 2
     147: 2
     153: 1
     158: 1
     161: 2
     162: 1
     163: 1
     164: 1
     165: 1
     174: 1
     176: 1
     178: 1
     180: 1
     182: 1
     192: 1
     193: 1
     204: 1
     205: 1
     225: 1
     229: 1
     244: 1
     256: 1
     338: 1

339:   0: 2
       1: 2
       3: 2
       4: 2
       6: 2
       7: 2
      11: q^2+q+1
      19: 2
      20: 2
      21: 2
      25: 1
      27: 2
      28: 2
      31: 2
      32: 2
      35: 2
      36: 2
      41: 2
      43: 2
      46: 2
      48: 1
      49: 1
      50: 1
      51: 1
      62: 1
      65: 1
      68: 2
      69: 2
      72: 2
      73: 2
      78: 1
      79: 1
      88: 1
      89: 1
      90: 1
      91: 1
      99: 2
     103: 2
     109: 1
     113: 1
     117: 1
     120: 2
     121: 2
     128: 1
     129: 1
     161: 2
     162: 1
     163: 1
     164: 1
     165: 1
     175: 1
     179: 1
     183: 1
     204: 1
     205: 1
     245: 1
     257: 1
     339: 1

340:   0: 2
       1: 2
       2: 2q+2
       3: 2
       4: 2q+2
       6: 2
       7: 2q+2
       8: q^2+3q+2
      12: q^2+3q+2
      19: 2
      20: 2
      21: 2q+2
      23: 2
      24: q+2
      27: 2
      28: 2
      30: q^2+3q+2
      31: 2
      32: 2
      33: q+2
      35: 2
      36: 2
      37: q+2
      41: 2
      43: 2
      44: 2
      46: 2
      47: 2
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      60: 2
      61: q+2
      64: 2
      66: q+2
      68: 2
      69: 2
      70: q+2
      72: 2
      73: 2
      74: q+2
      78: 1
      79: 1
      80: 1
      81: 1
      86: 2
      87: 2
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 1
      97: 2
      99: 2
     101: 2
     103: 2
     108: 2
     110: q+2
     112: 1
     114: 1
     116: 1
     118: 1
     122: 2
     124: 1
     125: 1
     128: 1
     129: 1
     132: 1
     133: 1
     146: 2
     147: 2
     153: 1
     158: 1
     166: 1
     167: 1
     174: 1
     176: 1
     178: 1
     180: 1
     184: 1
     192: 1
     193: 1
     225: 1
     229: 1
     246: 1
     258: 1
     340: 1

341:   5: 2
       9: 2
      10: 2
      13: q^2+1
      14: q^2+1
      22: q^2+1
      26: 1
      29: 2
      34: 2
      38: 2
      54: 1
      55: 1
      63: 1
      67: 1
      71: 2
      75: 2
      94: 1
      95: 1
     111: 1
     115: 1
     119: 1
     123: 2
     168: 1
     169: 1
     177: 1
     181: 1
     185: 1
     247: 1
     259: 1
     341: 1

342:   0: 2
       1: 2
       2: 2q+2
       3: 2q+1
       4: 2
       5: 2
       6: 2q+1
       7: 2
       8: 2q+2
       9: 2q+1
      10: 2
      15: 2
      16: 2q+1
      17: 2
      19: 2
      20: 2q+1
      21: 2
      23: 2
      24: 2
      27: 1
      28: 1
      29: 1
      31: 2
      32: 2
      33: 2q+2
      34: 2
      35: 2
      36: 2
      37: 2q+2
      38: 2
      40: 1
      41: 1
      42: 2
      43: 2
      44: 2
      45: 2
      46: 2
      47: 2
      48: 1
      49: 1
      50: 1
      51: 1
      52: q+1
      53: q+1
      54: 1
      55: 1
      56: 2
      57: 2q+1
      58: 2
      60: 2
      61: 2
      64: 1
      68: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: 1
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: 1
      84: 1
      96: 2
      97: 2
      98: 1
      99: 1
     100: 2
     101: 2
     102: 1
     103: 1
     104: 2
     105: 2
     108: 1
     112: 1
     116: 1
     120: 1
     121: 1
     123: 1
     130: 1
     131: 1
     132: 1
     133: 1
     148: 2
     152: 1
     154: 2
     157: 1
     160: 1
     161: 1
     170: 1
     174: 1
     178: 1
     182: 1
     200: 1
     201: 1
     243: 1
     248: 1
     252: 1
     256: 1
     342: 1

343:   0: 2q+2
       1: 2
       3: q^2+2q+1
       4: 2q+2
       5: 2
       6: q+1
       7: 2
       9: q+1
      10: 2
      11: q^2+2q+1
      13: q^2+2q+1
      15: 2
      16: q+1
      17: 2
      18: q^2+2q+1
      19: 2
      20: q+1
      21: 2
      25: q+1
      26: q+1
      27: q+1
      28: 1
      29: 1
      31: 2q+2
      32: 2
      34: 2
      35: 2q+2
      36: 2
      38: 2
      39: q+1
      40: 1
      41: 1
      42: 2
      43: 2
      45: 2
      46: 2
      48: q+1
      49: q+1
      50: 1
      51: 1
      54: 1
      55: 1
      56: 2
      57: q+1
      58: 2
      62: q+1
      65: 1
      67: 1
      68: q+1
      69: 1
      71: 1
      72: q+1
      73: 1
      75: 1
      76: 1
      77: 1
      78: 1
      79: 1
      84: 1
      85: 1
      96: 2
      98: 1
      99: 1
     100: 2
     102: 1
     103: 1
     106: q+1
     109: 1
     113: 1
     115: 1
     117: 1
     119: 1
     120: q+1
     121: 1
     123: 1
     130: 1
     131: 1
     150: 1
     152: 1
     156: 1
     157: 1
     160: 1
     161: 1
     171: 1
     175: 1
     179: 1
     183: 1
     185: 1
     240: 1
     243: 1
     249: 1
     253: 1
     257: 1
     343: 1

344:   0: 2
       1: 2
       2: 2
       4: 2
       5: 2
       7: 2
       8: 2
      10: 2
      12: q^2+2q+1
      15: 2
      17: 2
      19: 2
      21: 2
      23: 2
      24: 2
      30: 1
      31: 2
      32: 2
      33: 2
      34: 2
      35: 2
      36: 2
      37: 2
      38: 2
      42: 2
      43: 2
      44: 2
      45: 2
      46: 2
      47: 2
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 2
      58: 2
      60: 2
      61: 2
      66: 1
      70: 1
      74: 1
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: 1
      96: 2
      97: 2
     100: 2
     101: 2
     104: 2
     105: 2
     110: 1
     114: 1
     118: 1
     122: 1
     130: 1
     131: 1
     132: 1
     133: 1
     148: 2
     154: 2
     172: 1
     176: 1
     180: 1
     184: 1
     200: 1
     201: 1
     250: 1
     254: 1
     258: 1
     344: 1

345:   1: 2
       5: 2
       6: q+1
       7: 2
       9: q+1
      10: 2
      11: q+1
      13: q+1
      14: q^2+2q+1
      15: 2
      16: q+1
      17: 2
      18: q+1
      22: q+1
      25: q+1
      26: q+1
      28: 1
      29: 1
      32: 2
      34: 2
      36: 2
      38: 2
      39: q+1
      40: 1
      42: 2
      45: 2
      50: 1
      51: 1
      54: 1
      55: 1
      59: q+1
      63: q+1
      65: 1
      67: 1
      69: 1
      71: 1
      73: 1
      75: 1
      76: 1
      77: 1
      85: 1
      98: 1
     102: 1
     107: q+1
     111: 1
     113: 1
     115: 1
     117: 1
     119: 1
     121: 1
     123: 1
     150: 1
     156: 1
     160: 1
     173: 1
     177: 1
     181: 1
     183: 1
     185: 1
     240: 1
     251: 1
     255: 1
     259: 1
     345: 1

346:   0: 1
       1: 1
       3: 1
       4: q+1
       5: 1
       6: 1
       7: q+1
       9: 1
      10: q+1
      11: q+1
      13: q+1
      14: q+1
      15: 1
      16: 1
      17: q+1
      18: q+1
      19: 1
      20: 1
      21: q+1
      22: q+1
      25: 1
      26: 1
      27: 1
      28: 1
      29: 1
      31: 1
      32: 1
      34: 1
      35: 1
      36: 1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      45: 1
      46: 1
      48: 1
      50: 1
      54: 1
      56: 1
      57: 1
      58: q+1
      59: q+1
      62: 1
      63: 1
      65: 1
      67: 1
      68: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: 1
      76: 1
      78: 1
      82: 1
      84: 1
      85: 1
      88: 1
      90: 1
      94: 1
      96: 1
      98: 1
      99: 1
     100: 1
     102: 1
     103: 1
     106: 1
     107: 1
     109: 1
     111: 1
     113: 1
     115: 1
     117: 1
     119: 1
     126: 1
     128: 1
     130: 1
     134: 1
     138: 1
     142: 1
     144: 1
     150: 1
     152: 1
     156: 1
     157: 1
     171: 1
     173: 1
     175: 1
     177: 1
     179: 1
     181: 1
     188: 1
     194: 1
     208: 1
     212: 1
     215: 1
     222: 1
     227: 1
     249: 1
     251: 1
     253: 1
     255: 1
     260: 1
     290: 1
     294: 1
     310: 1
     318: 1
     346: 1

347:   0: 1
       1: 1
       3: 1
       4: q+1
       5: 1
       6: 1
       7: q+1
       9: 1
      10: q+1
      11: q+1
      13: q+1
      14: q+1
      15: 1
      16: 1
      17: q+1
      18: q+1
      19: 1
      20: 1
      21: q+1
      22: q+1
      25: 1
      26: 1
      27: 1
      28: 1
      29: 1
      31: 1
      32: 1
      34: 1
      35: 1
      36: 1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      45: 1
      46: 1
      49: 1
      51: 1
      55: 1
      56: 1
      57: 1
      58: q+1
      59: q+1
      62: 1
      63: 1
      65: 1
      67: 1
      68: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: 1
      77: 1
      79: 1
      82: 1
      84: 1
      85: 1
      89: 1
      91: 1
      95: 1
      96: 1
      98: 1
      99: 1
     100: 1
     102: 1
     103: 1
     106: 1
     107: 1
     109: 1
     111: 1
     113: 1
     115: 1
     117: 1
     119: 1
     127: 1
     129: 1
     131: 1
     134: 1
     139: 1
     143: 1
     144: 1
     150: 1
     152: 1
     156: 1
     157: 1
     171: 1
     173: 1
     175: 1
     177: 1
     179: 1
     181: 1
     189: 1
     195: 1
     209: 1
     213: 1
     215: 1
     222: 1
     227: 1
     249: 1
     251: 1
     253: 1
     255: 1
     261: 1
     291: 1
     295: 1
     310: 1
     318: 1
     347: 1

348:   0: q+1
       1: 1
       2: q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: 1
       6: q+1
       7: q+1
       8: q^2+2q+1
       9: q+1
      10: q+1
      11: q+1
      13: q+1
      15: 1
      16: q+1
      17: q+1
      18: q+1
      19: 1
      20: q+1
      21: q+1
      23: q+1
      24: q^2+2q+1
      25: q+1
      26: q+1
      27: q+1
      28: 1
      29: 1
      31: q+1
      32: 1
      33: q+1
      34: 1
      35: q+1
      36: 1
      37: q+1
      38: 1
      39: q+1
      40: 1
      41: 1
      42: 1
      43: 1
      44: q+1
      45: 1
      46: 1
      47: q+1
      48: q+1
      50: 1
      52: q+1
      54: 1
      56: 1
      57: q+1
      58: q+1
      60: 1
      61: q+1
      62: q+1
      64: q+1
      65: 1
      67: 1
      68: q+1
      69: 1
      71: 1
      72: q+1
      73: 1
      75: 1
      76: 1
      78: 1
      80: q+1
      83: 1
      84: 1
      85: 1
      88: q+1
      90: 1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: q+1
     106: q+1
     108: 1
     109: 1
     112: q+1
     113: 1
     115: 1
     116: q+1
     117: 1
     119: 1
     126: 1
     128: 1
     130: 1
     132: 1
     135: 1
     136: q+1
     138: 1
     142: 1
     145: 1
     148: 1
     149: 1
     150: 1
     152: 1
     154: 1
     155: 1
     156: 1
     157: 1
     170: 1
     171: 1
     174: 1
     175: 1
     178: 1
     179: 1
     186: 1
     188: 1
     194: 1
     200: 1
     206: 1
     208: 1
     216: 1
     221: 1
     223: 1
     226: 1
     228: 1
     248: 1
     249: 1
     252: 1
     253: 1
     262: 1
     264: 1
     288: 1
     290: 1
     311: 1
     319: 1
     348: 1

349:   0: q+1
       1: 1
       2: q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: 1
       6: q+1
       7: q+1
       8: q^2+2q+1
       9: q+1
      10: q+1
      11: q+1
      13: q+1
      15: 1
      16: q+1
      17: q+1
      18: q+1
      19: 1
      20: q+1
      21: q+1
      23: q+1
      24: q^2+2q+1
      25: q+1
      26: q+1
      27: q+1
      28: 1
      29: 1
      31: q+1
      32: 1
      33: q+1
      34: 1
      35: q+1
      36: 1
      37: q+1
      38: 1
      39: q+1
      40: 1
      41: 1
      42: 1
      43: 1
      44: q+1
      45: 1
      46: 1
      47: q+1
      49: q+1
      51: 1
      53: q+1
      55: 1
      56: 1
      57: q+1
      58: q+1
      60: 1
      61: q+1
      62: q+1
      64: q+1
      65: 1
      67: 1
      68: q+1
      69: 1
      71: 1
      72: q+1
      73: 1
      75: 1
      77: 1
      79: 1
      81: q+1
      83: 1
      84: 1
      85: 1
      89: q+1
      91: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: q+1
     106: q+1
     108: 1
     109: 1
     112: q+1
     113: 1
     115: 1
     116: q+1
     117: 1
     119: 1
     127: 1
     129: 1
     131: 1
     133: 1
     135: 1
     137: q+1
     139: 1
     143: 1
     145: 1
     148: 1
     149: 1
     150: 1
     152: 1
     154: 1
     155: 1
     156: 1
     157: 1
     170: 1
     171: 1
     174: 1
     175: 1
     178: 1
     179: 1
     187: 1
     189: 1
     195: 1
     201: 1
     207: 1
     209: 1
     216: 1
     221: 1
     223: 1
     226: 1
     228: 1
     248: 1
     249: 1
     252: 1
     253: 1
     263: 1
     265: 1
     289: 1
     291: 1
     311: 1
     319: 1
     349: 1

350:   0: 1
       1: 1
       2: 1
       3: q+1
       4: q+1
       5: q^2+1
       6: q+1
       7: q+1
       8: q+1
       9: 1
      10: q^3+q^2+q+1
      11: q+1
      13: 1
      14: 1
      15: 1
      16: 1
      17: q+1
      18: 1
      19: 1
      20: q+1
      21: q+1
      22: 1
      23: 1
      24: q+1
      25: q+1
      26: 1
      27: 1
      28: 1
      29: 1
      31: 1
      32: 1
      33: 1
      34: q^2+1
      35: 1
      36: 1
      37: 1
      38: q^2+1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      48: 1
      50: 1
      52: 1
      54: q^2+1
      56: 1
      57: 1
      58: q+1
      59: 1
      60: 1
      61: q+1
      62: q+1
      63: 1
      64: 1
      65: 1
      67: 1
      68: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: 1
      76: 1
      78: 1
      80: 1
      82: 1
      83: 1
      84: 1
      85: 1
      88: 1
      90: 1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: q+1
     106: 1
     107: 1
     108: 1
     109: 1
     111: 1
     112: 1
     113: 1
     115: 1
     116: 1
     117: 1
     119: 1
     126: 1
     128: 1
     130: 1
     132: 1
     134: 1
     135: 1
     136: 1
     138: 1
     142: 1
     144: 1
     145: 1
     148: 1
     149: 1
     150: 1
     152: 1
     154: 1
     155: 1
     156: 1
     157: 1
     174: 1
     175: 1
     177: 1
     178: 1
     179: 1
     181: 1
     186: 1
     188: 1
     194: 1
     200: 1
     206: 1
     208: 1
     212: 1
     214: 1
     221: 1
     222: 1
     223: 1
     226: 1
     227: 1
     228: 1
     260: 1
     262: 1
     264: 1
     309: 1
     317: 1
     350: 1

351:   0: 1
       1: 1
       2: 1
       3: q+1
       4: q+1
       5: q^2+1
       6: q+1
       7: q+1
       8: q+1
       9: 1
      10: q^3+q^2+q+1
      11: q+1
      13: 1
      14: 1
      15: 1
      16: 1
      17: q+1
      18: 1
      19: 1
      20: q+1
      21: q+1
      22: 1
      23: 1
      24: q+1
      25: q+1
      26: 1
      27: 1
      28: 1
      29: 1
      31: 1
      32: 1
      33: 1
      34: q^2+1
      35: 1
      36: 1
      37: 1
      38: q^2+1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      49: 1
      51: 1
      53: 1
      55: q^2+1
      56: 1
      57: 1
      58: q+1
      59: 1
      60: 1
      61: q+1
      62: q+1
      63: 1
      64: 1
      65: 1
      67: 1
      68: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: 1
      77: 1
      79: 1
      81: 1
      82: 1
      83: 1
      84: 1
      85: 1
      89: 1
      91: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: q+1
     106: 1
     107: 1
     108: 1
     109: 1
     111: 1
     112: 1
     113: 1
     115: 1
     116: 1
     117: 1
     119: 1
     127: 1
     129: 1
     131: 1
     133: 1
     134: 1
     135: 1
     137: 1
     139: 1
     143: 1
     144: 1
     145: 1
     148: 1
     149: 1
     150: 1
     152: 1
     154: 1
     155: 1
     156: 1
     157: 1
     174: 1
     175: 1
     177: 1
     178: 1
     179: 1
     181: 1
     187: 1
     189: 1
     195: 1
     201: 1
     207: 1
     209: 1
     213: 1
     214: 1
     221: 1
     222: 1
     223: 1
     226: 1
     227: 1
     228: 1
     261: 1
     263: 1
     265: 1
     309: 1
     317: 1
     351: 1

352:   0: q+1
       1: q+1
       2: q^2+2q+1
       3: q+1
       4: q+1
       5: q+1
       6: q+1
       7: q+1
       8: q^2+2q+1
       9: q+1
      10: q+1
      12: q^2+2q+1
      15: q+1
      16: q+1
      17: q+1
      19: q+1
      20: q+1
      21: q+1
      23: q+1
      24: q+1
      27: q+1
      28: q+1
      29: q+1
      30: q^2+2q+1
      31: 1
      32: 1
      33: q+1
      34: 1
      35: 1
      36: 1
      37: q+1
      38: 1
      40: q+1
      41: q+1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      48: 1
      50: 1
      52: q+1
      54: 1
      56: q+1
      57: q+1
      58: q+1
      60: q+1
      61: q+1
      64: q+1
      66: q+1
      68: 1
      69: 1
      70: q+1
      71: 1
      72: 1
      73: 1
      74: q+1
      75: 1
      76: 1
      78: 1
      80: 1
      84: q+1
      86: 1
      87: 1
      88: 1
      90: 1
      92: q+1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: q+1
     105: q+1
     108: q+1
     110: q+1
     112: 1
     114: 1
     116: 1
     118: 1
     124: 1
     126: 1
     128: 1
     130: 1
     132: 1
     136: 1
     140: 1
     146: 1
     147: 1
     148: 1
     152: 1
     153: 1
     154: 1
     157: 1
     158: 1
     170: q+1
     172: q+1
     174: 1
     176: 1
     178: 1
     180: 1
     190: 1
     192: 1
     194: 1
     200: 1
     206: 1
     210: 1
     217: 1
     219: 1
     225: 1
     229: 1
     248: 1
     250: 1
     252: 1
     254: 1
     266: 1
     270: 1
     288: 1
     292: 1
     314: 1
     320: 1
     352: 1

353:   0: q+1
       1: q+1
       2: q^2+2q+1
       3: q+1
       4: q+1
       5: q+1
       6: q+1
       7: q+1
       8: q^2+2q+1
       9: q+1
      10: q+1
      12: q^2+2q+1
      15: q+1
      16: q+1
      17: q+1
      19: q+1
      20: q+1
      21: q+1
      23: q+1
      24: q+1
      27: q+1
      28: q+1
      29: q+1
      30: q^2+2q+1
      31: 1
      32: 1
      33: q+1
      34: 1
      35: 1
      36: 1
      37: q+1
      38: 1
      40: q+1
      41: q+1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      49: 1
      51: 1
      53: q+1
      55: 1
      56: q+1
      57: q+1
      58: q+1
      60: q+1
      61: q+1
      64: q+1
      66: q+1
      68: 1
      69: 1
      70: q+1
      71: 1
      72: 1
      73: 1
      74: q+1
      75: 1
      77: 1
      79: 1
      81: 1
      84: q+1
      86: 1
      87: 1
      89: 1
      91: 1
      93: q+1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: q+1
     105: q+1
     108: q+1
     110: q+1
     112: 1
     114: 1
     116: 1
     118: 1
     125: 1
     127: 1
     129: 1
     131: 1
     133: 1
     137: 1
     141: 1
     146: 1
     147: 1
     148: 1
     152: 1
     153: 1
     154: 1
     157: 1
     158: 1
     170: q+1
     172: q+1
     174: 1
     176: 1
     178: 1
     180: 1
     191: 1
     193: 1
     195: 1
     201: 1
     207: 1
     211: 1
     217: 1
     219: 1
     225: 1
     229: 1
     248: 1
     250: 1
     252: 1
     254: 1
     267: 1
     271: 1
     289: 1
     293: 1
     314: 1
     320: 1
     353: 1

354:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       6: q+1
       7: q+1
       8: q+1
      11: q+1
      12: q+1
      19: q+1
      20: q+1
      21: q+1
      23: q+1
      24: q+1
      25: q+1
      27: q+1
      28: q+1
      30: q+1
      31: 1
      32: 1
      33: 1
      35: 1
      36: 1
      37: 1
      41: q+1
      43: 1
      44: 1
      46: 1
      47: 1
      48: 1
      50: 1
      52: 1
      60: q+1
      61: q+1
      62: q+1
      64: q+1
      65: q+1
      66: q+1
      68: 1
      69: 1
      70: 1
      72: 1
      73: 1
      74: 1
      78: 1
      80: 1
      83: q+1
      86: 1
      87: 1
      88: 1
      90: 1
      92: 1
      97: 1
      99: 1
     101: 1
     103: 1
     108: q+1
     109: q+1
     110: q+1
     112: 1
     113: 1
     114: 1
     116: 1
     117: 1
     118: 1
     124: 1
     128: 1
     132: 1
     136: 1
     138: 1
     140: 1
     145: q+1
     146: 1
     147: 1
     149: 1
     153: 1
     155: 1
     158: 1
     174: 1
     175: 1
     176: 1
     178: 1
     179: 1
     180: 1
     186: 1
     190: 1
     192: 1
     206: 1
     208: 1
     210: 1
     218: 1
     220: 1
     223: 1
     225: 1
     228: 1
     229: 1
     262: 1
     266: 1
     268: 1
     315: 1
     321: 1
     354: 1

355:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       6: q+1
       7: q+1
       8: q+1
      11: q+1
      12: q+1
      19: q+1
      20: q+1
      21: q+1
      23: q+1
      24: q+1
      25: q+1
      27: q+1
      28: q+1
      30: q+1
      31: 1
      32: 1
      33: 1
      35: 1
      36: 1
      37: 1
      41: q+1
      43: 1
      44: 1
      46: 1
      47: 1
      49: 1
      51: 1
      53: 1
      60: q+1
      61: q+1
      62: q+1
      64: q+1
      65: q+1
      66: q+1
      68: 1
      69: 1
      70: 1
      72: 1
      73: 1
      74: 1
      79: 1
      81: 1
      83: q+1
      86: 1
      87: 1
      89: 1
      91: 1
      93: 1
      97: 1
      99: 1
     101: 1
     103: 1
     108: q+1
     109: q+1
     110: q+1
     112: 1
     113: 1
     114: 1
     116: 1
     117: 1
     118: 1
     125: 1
     129: 1
     133: 1
     137: 1
     139: 1
     141: 1
     145: q+1
     146: 1
     147: 1
     149: 1
     153: 1
     155: 1
     158: 1
     174: 1
     175: 1
     176: 1
     178: 1
     179: 1
     180: 1
     187: 1
     191: 1
     193: 1
     207: 1
     209: 1
     211: 1
     218: 1
     220: 1
     223: 1
     225: 1
     228: 1
     229: 1
     263: 1
     267: 1
     269: 1
     315: 1
     321: 1
     355: 1

356:   0: q+1
       1: 1
       2: q+1
       3: q+1
       4: q+1
       5: 1
       6: 1
       7: q^2+q+1
       8: q+1
       9: 1
      10: q^2+q+1
      11: 1
      12: q+1
      13: 1
      15: 1
      16: 1
      17: q^2+q+1
      18: 1
      19: 1
      20: 1
      21: q+1
      23: q+1
      24: q+1
      25: 1
      26: 1
      27: q+1
      28: 1
      29: 1
      30: q+1
      31: 1
      32: 1
      33: 1
      34: 1
      35: 1
      36: 1
      37: 1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      48: 1
      50: 1
      52: 1
      54: 1
      56: 1
      57: 1
      58: q+1
      60: 1
      61: q+1
      62: 1
      64: q+1
      65: 1
      66: q+1
      67: 1
      68: 1
      69: 1
      70: 1
      71: 1
      72: 1
      73: 1
      74: 1
      75: 1
      76: 1
      78: 1
      80: 1
      83: 1
      84: 1
      85: 1
      86: 1
      87: 1
      88: 1
      90: 1
      92: 1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: q+1
     106: 1
     108: 1
     109: 1
     110: q+1
     112: 1
     113: 1
     114: 1
     115: 1
     116: 1
     117: 1
     118: 1
     119: 1
     124: 1
     126: 1
     128: 1
     130: 1
     132: 1
     135: 1
     136: 1
     138: 1
     140: 1
     142: 1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     152: 1
     153: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     170: 1
     171: 1
     172: q+1
     186: 1
     188: 1
     190: 1
     192: 1
     194: 1
     200: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     226: 1
     264: 1
     268: 1
     270: 1
     297: 1
     298: 1
     356: 1

357:   0: q+1
       1: 1
       2: q+1
       3: q+1
       4: q+1
       5: 1
       6: 1
       7: q^2+q+1
       8: q+1
       9: 1
      10: q^2+q+1
      11: 1
      12: q+1
      13: 1
      15: 1
      16: 1
      17: q^2+q+1
      18: 1
      19: 1
      20: 1
      21: q+1
      23: q+1
      24: q+1
      25: 1
      26: 1
      27: q+1
      28: 1
      29: 1
      30: q+1
      31: 1
      32: 1
      33: 1
      34: 1
      35: 1
      36: 1
      37: 1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      49: 1
      51: 1
      53: 1
      55: 1
      56: 1
      57: 1
      58: q+1
      60: 1
      61: q+1
      62: 1
      64: q+1
      65: 1
      66: q+1
      67: 1
      68: 1
      69: 1
      70: 1
      71: 1
      72: 1
      73: 1
      74: 1
      75: 1
      77: 1
      79: 1
      81: 1
      83: 1
      84: 1
      85: 1
      86: 1
      87: 1
      89: 1
      91: 1
      93: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: q+1
     106: 1
     108: 1
     109: 1
     110: q+1
     112: 1
     113: 1
     114: 1
     115: 1
     116: 1
     117: 1
     118: 1
     119: 1
     125: 1
     127: 1
     129: 1
     131: 1
     133: 1
     135: 1
     137: 1
     139: 1
     141: 1
     143: 1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     152: 1
     153: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     170: 1
     171: 1
     172: q+1
     187: 1
     189: 1
     191: 1
     193: 1
     195: 1
     201: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     226: 1
     265: 1
     269: 1
     271: 1
     297: 1
     298: 1
     357: 1

358:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: 1
       6: q+1
       7: q^2+q+1
       8: 1
      11: q+1
      12: 1
      19: 1
      20: 1
      21: 1
      23: q+1
      24: 1
      25: q+1
      27: q+1
      28: q+1
      30: 1
      31: 1
      32: q+1
      33: 1
      35: 1
      36: q+1
      37: 1
      41: 1
      43: 1
      44: 1
      46: 1
      47: 1
      48: 1
      50: q+1
      52: 1
      60: 1
      61: 1
      62: 1
      64: q+1
      65: q+1
      66: 1
      68: 1
      69: q+1
      70: 1
      72: 1
      73: q+1
      74: 1
      78: 1
      80: 1
      83: 1
      86: 1
      87: 1
      88: 1
      90: q+1
      92: 1
      97: 1
      99: 1
     101: 1
     103: 1
     108: 1
     109: 1
     110: 1
     112: 1
     113: q+1
     114: 1
     116: 1
     117: q+1
     118: 1
     120: 1
     121: 1
     124: 1
     128: 1
     132: 1
     136: 1
     138: q+1
     140: 1
     145: 1
     146: 1
     147: 1
     149: 1
     153: 1
     155: 1
     158: 1
     161: 1
     162: 1
     164: 1
     182: 1
     183: 1
     186: 1
     190: 1
     192: 1
     204: 1
     218: 1
     220: 1
     231: 1
     232: 1
     234: 1
     244: 1
     245: 1
     268: 1
     280: 1
     299: 1
     301: 1
     303: 1
     358: 1

359:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: 1
       6: q+1
       7: q^2+q+1
       8: 1
      11: q+1
      12: 1
      19: 1
      20: 1
      21: 1
      23: q+1
      24: 1
      25: q+1
      27: q+1
      28: q+1
      30: 1
      31: 1
      32: q+1
      33: 1
      35: 1
      36: q+1
      37: 1
      41: 1
      43: 1
      44: 1
      46: 1
      47: 1
      49: 1
      51: q+1
      53: 1
      60: 1
      61: 1
      62: 1
      64: q+1
      65: q+1
      66: 1
      68: 1
      69: q+1
      70: 1
      72: 1
      73: q+1
      74: 1
      79: 1
      81: 1
      83: 1
      86: 1
      87: 1
      89: 1
      91: q+1
      93: 1
      97: 1
      99: 1
     101: 1
     103: 1
     108: 1
     109: 1
     110: 1
     112: 1
     113: q+1
     114: 1
     116: 1
     117: q+1
     118: 1
     120: 1
     121: 1
     125: 1
     129: 1
     133: 1
     137: 1
     139: q+1
     141: 1
     145: 1
     146: 1
     147: 1
     149: 1
     153: 1
     155: 1
     158: 1
     161: 1
     163: 1
     165: 1
     182: 1
     183: 1
     187: 1
     191: 1
     193: 1
     205: 1
     218: 1
     220: 1
     231: 1
     233: 1
     235: 1
     244: 1
     245: 1
     269: 1
     281: 1
     299: 1
     302: 1
     304: 1
     359: 1

360:   1: 1
       5: 1
       6: 1
       7: 1
       9: 1
      10: 1
      11: 1
      13: 1
      15: 1
      16: 1
      17: 1
      18: 1
      25: 1
      26: 1
      28: 1
      29: 1
      32: 1
      34: 1
      36: 1
      38: 1
      39: 1
      40: 1
      42: 1
      45: 1
      50: 1
      54: 1
      65: 1
      67: 1
      69: 1
      71: 1
      73: 1
      75: 1
      76: 1
      85: 1
      90: 1
      94: 1
      98: 1
     102: 1
     113: 1
     115: 1
     117: 1
     119: 1
     121: 1
     123: 1
     126: 1
     138: 1
     142: 1
     150: 1
     156: 1
     160: 1
     164: 1
     168: 1
     183: 1
     185: 1
     188: 1
     202: 1
     234: 1
     238: 1
     240: 1
     245: 1
     247: 1
     282: 1
     300: 1
     303: 1
     307: 1
     360: 1

361:   1: 1
       5: 1
       6: 1
       7: 1
       9: 1
      10: 1
      11: 1
      13: 1
      15: 1
      16: 1
      17: 1
      18: 1
      25: 1
      26: 1
      28: 1
      29: 1
      32: 1
      34: 1
      36: 1
      38: 1
      39: 1
      40: 1
      42: 1
      45: 1
      51: 1
      55: 1
      65: 1
      67: 1
      69: 1
      71: 1
      73: 1
      75: 1
      77: 1
      85: 1
      91: 1
      95: 1
      98: 1
     102: 1
     113: 1
     115: 1
     117: 1
     119: 1
     121: 1
     123: 1
     127: 1
     139: 1
     143: 1
     150: 1
     156: 1
     160: 1
     165: 1
     169: 1
     183: 1
     185: 1
     189: 1
     203: 1
     235: 1
     239: 1
     240: 1
     245: 1
     247: 1
     283: 1
     300: 1
     304: 1
     308: 1
     361: 1

362:   0: 3q+1
       1: q^2+2q+1
       2: 3q+1
       3: q^2+2q+1
       4: 3q+1
       6: q+1
       7: q^2+2q+1
       8: 3q+1
      11: q+1
      12: q^2+2q+1
      19: 2q+1
      20: q+1
      21: 2q+1
      23: 3q+1
      24: 3q+1
      25: q+1
      27: 2q+1
      28: q+1
      30: 2q+1
      31: 3q+1
      32: q^2+2q+1
      33: 3q+1
      35: q+1
      36: q+1
      37: q+1
      41: q+1
      43: 2q+1
      44: 3q+1
      46: q+1
      47: q+1
      48: q+1
      50: q+1
      52: q+1
      60: 2q+1
      61: 2q+1
      62: q+1
      64: 2q+1
      65: q+1
      66: 2q+1
      68: 2q+1
      69: q+1
      70: 2q+1
      72: 1
      73: 1
      74: 1
      78: q+1
      80: q+1
      83: q+1
      86: 1
      87: q+1
      88: 1
      90: 1
      92: 1
      97: 2q+1
      99: q+1
     101: q+1
     103: 1
     108: 1
     109: 1
     110: q+1
     112: 2q+1
     113: q+1
     114: 2q+1
     116: 1
     117: 1
     118: 1
     120: 1
     121: 1
     122: 1
     124: 1
     128: 1
     132: q+1
     136: 1
     138: 1
     140: 1
     145: 1
     146: 1
     147: 1
     149: q+1
     151: 1
     153: q+1
     155: 1
     158: 1
     161: 1
     162: 1
     164: 1
     166: 1
     174: 1
     175: 1
     176: q+1
     182: 1
     183: 1
     184: 1
     186: 1
     190: 1
     192: 1
     196: 1
     204: 1
     218: 1
     220: 1
     223: 1
     224: 1
     225: 1
     231: 1
     232: 1
     234: 1
     236: 1
     241: 1
     268: 1
     272: 1
     274: 1
     280: 1
     313: 1
     315: 1
     362: 1

363:   0: 3q+1
       1: q^2+2q+1
       2: 3q+1
       3: q^2+2q+1
       4: 3q+1
       6: q+1
       7: q^2+2q+1
       8: 3q+1
      11: q+1
      12: q^2+2q+1
      19: 2q+1
      20: q+1
      21: 2q+1
      23: 3q+1
      24: 3q+1
      25: q+1
      27: 2q+1
      28: q+1
      30: 2q+1
      31: 3q+1
      32: q^2+2q+1
      33: 3q+1
      35: q+1
      36: q+1
      37: q+1
      41: q+1
      43: 2q+1
      44: 3q+1
      46: q+1
      47: q+1
      49: q+1
      51: q+1
      53: q+1
      60: 2q+1
      61: 2q+1
      62: q+1
      64: 2q+1
      65: q+1
      66: 2q+1
      68: 2q+1
      69: q+1
      70: 2q+1
      72: 1
      73: 1
      74: 1
      79: q+1
      81: q+1
      83: q+1
      86: 1
      87: q+1
      89: 1
      91: 1
      93: 1
      97: 2q+1
      99: q+1
     101: q+1
     103: 1
     108: 1
     109: 1
     110: q+1
     112: 2q+1
     113: q+1
     114: 2q+1
     116: 1
     117: 1
     118: 1
     120: 1
     121: 1
     122: 1
     125: 1
     129: 1
     133: q+1
     137: 1
     139: 1
     141: 1
     145: 1
     146: 1
     147: 1
     149: q+1
     151: 1
     153: q+1
     155: 1
     158: 1
     161: 1
     163: 1
     165: 1
     167: 1
     174: 1
     175: 1
     176: q+1
     182: 1
     183: 1
     184: 1
     187: 1
     191: 1
     193: 1
     197: 1
     205: 1
     218: 1
     220: 1
     223: 1
     224: 1
     225: 1
     231: 1
     233: 1
     235: 1
     237: 1
     241: 1
     269: 1
     273: 1
     275: 1
     281: 1
     313: 1
     315: 1
     363: 1

364:   0: 2q+1
       1: 2q+1
       2: 2q^2+3q+1
       3: q^2+q+1
       4: 2q+1
       6: q^2+q+1
       7: 2q+1
       8: 2q^2+3q+1
      12: q^3+2q^2+2q+1
      19: 2q+1
      20: q^2+q+1
      21: 2q+1
      23: 2q+1
      24: 2q+1
      27: q+1
      28: q+1
      30: q^2+2q+1
      31: 2q+1
      32: 2q+1
      33: 2q^2+3q+1
      35: q+1
      36: q+1
      37: q^2+2q+1
      41: q+1
      43: 2q+1
      44: 2q+1
      46: q+1
      47: q+1
      48: q+1
      50: q+1
      52: q^2+2q+1
      60: 2q+1
      61: 2q+1
      64: q+1
      66: q+1
      68: q+1
      69: q+1
      70: q^2+2q+1
      72: 1
      73: 1
      74: q+1
      78: q+1
      80: q+1
      86: 1
      87: 1
      88: 1
      90: 1
      92: q+1
      97: 2q+1
      99: q+1
     101: q+1
     103: 1
     108: q+1
     110: q+1
     112: q+1
     114: q+1
     116: 1
     118: 1
     120: 1
     121: 1
     122: q+1
     124: 1
     128: 1
     132: q+1
     136: 1
     140: 1
     146: 1
     147: 1
     151: 1
     153: 1
     158: 1
     161: 1
     162: 1
     164: 1
     166: q+1
     174: q+1
     176: q+1
     178: 1
     180: 1
     182: 1
     184: 1
     190: 1
     192: 1
     196: 1
     204: 1
     206: 1
     210: 1
     224: 1
     225: 1
     229: 1
     232: 1
     236: 1
     241: 1
     256: 1
     258: 1
     266: 1
     272: 1
     274: 1
     325: 1
     329: 1
     336: 1
     364: 1

365:   0: 2q+1
       1: 2q+1
       2: 2q^2+3q+1
       3: q^2+q+1
       4: 2q+1
       6: q^2+q+1
       7: 2q+1
       8: 2q^2+3q+1
      12: q^3+2q^2+2q+1
      19: 2q+1
      20: q^2+q+1
      21: 2q+1
      23: 2q+1
      24: 2q+1
      27: q+1
      28: q+1
      30: q^2+2q+1
      31: 2q+1
      32: 2q+1
      33: 2q^2+3q+1
      35: q+1
      36: q+1
      37: q^2+2q+1
      41: q+1
      43: 2q+1
      44: 2q+1
      46: q+1
      47: q+1
      49: q+1
      51: q+1
      53: q^2+2q+1
      60: 2q+1
      61: 2q+1
      64: q+1
      66: q+1
      68: q+1
      69: q+1
      70: q^2+2q+1
      72: 1
      73: 1
      74: q+1
      79: q+1
      81: q+1
      86: 1
      87: 1
      89: 1
      91: 1
      93: q+1
      97: 2q+1
      99: q+1
     101: q+1
     103: 1
     108: q+1
     110: q+1
     112: q+1
     114: q+1
     116: 1
     118: 1
     120: 1
     121: 1
     122: q+1
     125: 1
     129: 1
     133: q+1
     137: 1
     141: 1
     146: 1
     147: 1
     151: 1
     153: 1
     158: 1
     161: 1
     163: 1
     165: 1
     167: q+1
     174: q+1
     176: q+1
     178: 1
     180: 1
     182: 1
     184: 1
     191: 1
     193: 1
     197: 1
     205: 1
     207: 1
     211: 1
     224: 1
     225: 1
     229: 1
     233: 1
     237: 1
     241: 1
     256: 1
     258: 1
     267: 1
     273: 1
     275: 1
     326: 1
     330: 1
     336: 1
     365: 1

366:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       5: q+1
       6: q+1
       7: q+1
       8: q+1
       9: q+1
      10: q+1
      12: q+1
      15: q+1
      16: q+1
      17: q+1
      19: q+1
      20: q+1
      21: q+1
      23: 1
      24: 1
      27: q+1
      28: q+1
      29: q+1
      30: q+1
      31: q+1
      32: q+1
      33: q+1
      34: q+1
      35: 1
      36: 1
      37: 1
      38: 1
      40: q+1
      41: q+1
      42: q+1
      43: q+1
      44: 1
      45: 1
      46: 1
      47: 1
      48: 1
      50: 1
      52: 1
      54: 1
      56: q+1
      57: q+1
      58: q+1
      60: 1
      61: 1
      64: 1
      66: 1
      68: q+1
      69: q+1
      70: q+1
      71: q+1
      72: 1
      73: 1
      74: 1
      75: 1
      76: 1
      78: 1
      80: 1
      84: q+1
      86: 1
      87: 1
      88: 1
      90: 1
      92: 1
      94: 1
      96: q+1
      97: 1
      98: q+1
      99: q+1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     108: 1
     110: 1
     112: 1
     114: 1
     120: 1
     121: 1
     122: 1
     123: 1
     124: 1
     126: 1
     128: 1
     130: 1
     132: 1
     146: 1
     147: 1
     148: 1
     151: 1
     152: q+1
     153: 1
     154: 1
     157: 1
     160: 1
     161: 1
     162: 1
     164: 1
     166: 1
     168: 1
     170: 1
     172: 1
     174: 1
     176: 1
     192: 1
     194: 1
     196: 1
     200: 1
     202: 1
     204: 1
     217: 1
     219: 1
     224: 1
     225: 1
     243: 1
     248: 1
     250: 1
     270: 1
     274: 1
     286: 1
     312: 1
     314: 1
     366: 1

367:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       5: q+1
       6: q+1
       7: q+1
       8: q+1
       9: q+1
      10: q+1
      12: q+1
      15: q+1
      16: q+1
      17: q+1
      19: q+1
      20: q+1
      21: q+1
      23: 1
      24: 1
      27: q+1
      28: q+1
      29: q+1
      30: q+1
      31: q+1
      32: q+1
      33: q+1
      34: q+1
      35: 1
      36: 1
      37: 1
      38: 1
      40: q+1
      41: q+1
      42: q+1
      43: q+1
      44: 1
      45: 1
      46: 1
      47: 1
      49: 1
      51: 1
      53: 1
      55: 1
      56: q+1
      57: q+1
      58: q+1
      60: 1
      61: 1
      64: 1
      66: 1
      68: q+1
      69: q+1
      70: q+1
      71: q+1
      72: 1
      73: 1
      74: 1
      75: 1
      77: 1
      79: 1
      81: 1
      84: q+1
      86: 1
      87: 1
      89: 1
      91: 1
      93: 1
      95: 1
      96: q+1
      97: 1
      98: q+1
      99: q+1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     108: 1
     110: 1
     112: 1
     114: 1
     120: 1
     121: 1
     122: 1
     123: 1
     125: 1
     127: 1
     129: 1
     131: 1
     133: 1
     146: 1
     147: 1
     148: 1
     151: 1
     152: q+1
     153: 1
     154: 1
     157: 1
     160: 1
     161: 1
     163: 1
     165: 1
     167: 1
     169: 1
     170: 1
     172: 1
     174: 1
     176: 1
     193: 1
     195: 1
     197: 1
     201: 1
     203: 1
     205: 1
     217: 1
     219: 1
     224: 1
     225: 1
     243: 1
     248: 1
     250: 1
     271: 1
     275: 1
     287: 1
     312: 1
     314: 1
     367: 1

368:   0: q+1
       2: q+1
       3: q+1
       4: q+1
       8: q+1
      12: q+1
      23: q+1
      24: q+1
      27: q+1
      30: q+1
      31: q+1
      33: q+1
      35: 1
      37: 1
      44: q+1
      47: 1
      48: 1
      52: 1
      64: q+1
      66: q+1
      68: q+1
      70: q+1
      72: 1
      74: 1
      80: 1
      86: 1
      87: q+1
      88: 1
      92: 1
     112: q+1
     114: q+1
     116: 1
     118: 1
     120: 1
     122: 1
     124: 1
     136: 1
     140: 1
     151: 1
     153: q+1
     158: 1
     162: 1
     166: 1
     182: 1
     184: 1
     190: 1
     196: 1
     232: 1
     236: 1
     241: 1
     244: 1
     246: 1
     272: 1
     301: 1
     305: 1
     316: 1
     368: 1

369:   0: q+1
       2: q+1
       3: q+1
       4: q+1
       8: q+1
      12: q+1
      23: q+1
      24: q+1
      27: q+1
      30: q+1
      31: q+1
      33: q+1
      35: 1
      37: 1
      44: q+1
      47: 1
      49: 1
      53: 1
      64: q+1
      66: q+1
      68: q+1
      70: q+1
      72: 1
      74: 1
      81: 1
      86: 1
      87: q+1
      89: 1
      93: 1
     112: q+1
     114: q+1
     116: 1
     118: 1
     120: 1
     122: 1
     125: 1
     137: 1
     141: 1
     151: 1
     153: q+1
     158: 1
     163: 1
     167: 1
     182: 1
     184: 1
     191: 1
     197: 1
     233: 1
     237: 1
     241: 1
     244: 1
     246: 1
     273: 1
     302: 1
     306: 1
     316: 1
     369: 1

370:   0: 3q+1
       1: q^2+2q+1
       2: 3q+1
       3: q^2+2q+1
       4: 3q+1
       6: q+1
       7: q^2+2q+1
       8: 3q+1
      11: q+1
      12: q^2+2q+1
      19: 2q+1
      20: q+1
      21: 2q+1
      23: 3q+1
      24: 3q+1
      25: q+1
      27: 2q+1
      28: q+1
      30: 2q+1
      31: q+1
      32: q+1
      33: q+1
      35: 3q+1
      36: q^2+2q+1
      37: 3q+1
      41: q+1
      43: q+1
      44: q+1
      46: 2q+1
      47: 3q+1
      48: q+1
      50: q+1
      52: q+1
      60: 2q+1
      61: 2q+1
      62: q+1
      64: 2q+1
      65: q+1
      66: 2q+1
      68: 1
      69: 1
      70: 1
      72: 2q+1
      73: q+1
      74: 2q+1
      78: q+1
      80: q+1
      83: q+1
      86: q+1
      87: 1
      88: 1
      90: 1
      92: 1
      97: q+1
      99: 1
     101: 2q+1
     103: q+1
     108: 1
     109: 1
     110: q+1
     112: 1
     113: 1
     114: 1
     116: 2q+1
     117: q+1
     118: 2q+1
     120: 1
     121: 1
     122: 1
     124: 1
     128: 1
     132: q+1
     136: 1
     138: 1
     140: 1
     145: 1
     146: 1
     147: 1
     149: 1
     153: 1
     155: q+1
     158: q+1
     159: 1
     161: 1
     162: 1
     164: 1
     166: 1
     178: 1
     179: 1
     180: q+1
     182: 1
     183: 1
     184: 1
     186: 1
     190: 1
     192: 1
     198: 1
     204: 1
     218: 1
     220: 1
     228: 1
     229: 1
     230: 1
     231: 1
     232: 1
     234: 1
     236: 1
     242: 1
     268: 1
     276: 1
     278: 1
     280: 1
     321: 1
     323: 1
     370: 1

371:   0: 3q+1
       1: q^2+2q+1
       2: 3q+1
       3: q^2+2q+1
       4: 3q+1
       6: q+1
       7: q^2+2q+1
       8: 3q+1
      11: q+1
      12: q^2+2q+1
      19: 2q+1
      20: q+1
      21: 2q+1
      23: 3q+1
      24: 3q+1
      25: q+1
      27: 2q+1
      28: q+1
      30: 2q+1
      31: q+1
      32: q+1
      33: q+1
      35: 3q+1
      36: q^2+2q+1
      37: 3q+1
      41: q+1
      43: q+1
      44: q+1
      46: 2q+1
      47: 3q+1
      49: q+1
      51: q+1
      53: q+1
      60: 2q+1
      61: 2q+1
      62: q+1
      64: 2q+1
      65: q+1
      66: 2q+1
      68: 1
      69: 1
      70: 1
      72: 2q+1
      73: q+1
      74: 2q+1
      79: q+1
      81: q+1
      83: q+1
      86: q+1
      87: 1
      89: 1
      91: 1
      93: 1
      97: q+1
      99: 1
     101: 2q+1
     103: q+1
     108: 1
     109: 1
     110: q+1
     112: 1
     113: 1
     114: 1
     116: 2q+1
     117: q+1
     118: 2q+1
     120: 1
     121: 1
     122: 1
     125: 1
     129: 1
     133: q+1
     137: 1
     139: 1
     141: 1
     145: 1
     146: 1
     147: 1
     149: 1
     153: 1
     155: q+1
     158: q+1
     159: 1
     161: 1
     163: 1
     165: 1
     167: 1
     178: 1
     179: 1
     180: q+1
     182: 1
     183: 1
     184: 1
     187: 1
     191: 1
     193: 1
     199: 1
     205: 1
     218: 1
     220: 1
     228: 1
     229: 1
     230: 1
     231: 1
     233: 1
     235: 1
     237: 1
     242: 1
     269: 1
     277: 1
     279: 1
     281: 1
     321: 1
     323: 1
     371: 1

372:   0: 2q+1
       1: 2q+1
       2: 2q^2+3q+1
       3: q^2+q+1
       4: 2q+1
       6: q^2+q+1
       7: 2q+1
       8: 2q^2+3q+1
      12: q^3+2q^2+2q+1
      19: 2q+1
      20: q^2+q+1
      21: 2q+1
      23: 2q+1
      24: 2q+1
      27: q+1
      28: q+1
      30: q^2+2q+1
      31: q+1
      32: q+1
      33: q^2+2q+1
      35: 2q+1
      36: 2q+1
      37: 2q^2+3q+1
      41: q+1
      43: q+1
      44: q+1
      46: 2q+1
      47: 2q+1
      48: q+1
      50: q+1
      52: q^2+2q+1
      60: 2q+1
      61: 2q+1
      64: q+1
      66: q+1
      68: 1
      69: 1
      70: q+1
      72: q+1
      73: q+1
      74: q^2+2q+1
      78: q+1
      80: q+1
      86: 1
      87: 1
      88: 1
      90: 1
      92: q+1
      97: q+1
      99: 1
     101: 2q+1
     103: q+1
     108: q+1
     110: q+1
     112: 1
     114: 1
     116: q+1
     118: q+1
     120: 1
     121: 1
     122: q+1
     124: 1
     128: 1
     132: q+1
     136: 1
     140: 1
     146: 1
     147: 1
     153: 1
     158: 1
     159: 1
     161: 1
     162: 1
     164: 1
     166: q+1
     174: 1
     176: 1
     178: q+1
     180: q+1
     182: 1
     184: 1
     190: 1
     192: 1
     198: 1
     204: 1
     206: 1
     210: 1
     225: 1
     229: 1
     230: 1
     232: 1
     236: 1
     242: 1
     256: 1
     258: 1
     266: 1
     276: 1
     278: 1
     325: 1
     329: 1
     337: 1
     372: 1

373:   0: 2q+1
       1: 2q+1
       2: 2q^2+3q+1
       3: q^2+q+1
       4: 2q+1
       6: q^2+q+1
       7: 2q+1
       8: 2q^2+3q+1
      12: q^3+2q^2+2q+1
      19: 2q+1
      20: q^2+q+1
      21: 2q+1
      23: 2q+1
      24: 2q+1
      27: q+1
      28: q+1
      30: q^2+2q+1
      31: q+1
      32: q+1
      33: q^2+2q+1
      35: 2q+1
      36: 2q+1
      37: 2q^2+3q+1
      41: q+1
      43: q+1
      44: q+1
      46: 2q+1
      47: 2q+1
      49: q+1
      51: q+1
      53: q^2+2q+1
      60: 2q+1
      61: 2q+1
      64: q+1
      66: q+1
      68: 1
      69: 1
      70: q+1
      72: q+1
      73: q+1
      74: q^2+2q+1
      79: q+1
      81: q+1
      86: 1
      87: 1
      89: 1
      91: 1
      93: q+1
      97: q+1
      99: 1
     101: 2q+1
     103: q+1
     108: q+1
     110: q+1
     112: 1
     114: 1
     116: q+1
     118: q+1
     120: 1
     121: 1
     122: q+1
     125: 1
     129: 1
     133: q+1
     137: 1
     141: 1
     146: 1
     147: 1
     153: 1
     158: 1
     159: 1
     161: 1
     163: 1
     165: 1
     167: q+1
     174: 1
     176: 1
     178: q+1
     180: q+1
     182: 1
     184: 1
     191: 1
     193: 1
     199: 1
     205: 1
     207: 1
     211: 1
     225: 1
     229: 1
     230: 1
     233: 1
     237: 1
     242: 1
     256: 1
     258: 1
     267: 1
     277: 1
     279: 1
     326: 1
     330: 1
     337: 1
     373: 1

374:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       5: q+1
       6: q+1
       7: q+1
       8: q+1
       9: q+1
      10: q+1
      12: q+1
      15: q+1
      16: q+1
      17: q+1
      19: q+1
      20: q+1
      21: q+1
      23: 1
      24: 1
      27: q+1
      28: q+1
      29: q+1
      30: q+1
      31: 1
      32: 1
      33: 1
      34: 1
      35: q+1
      36: q+1
      37: q+1
      38: q+1
      40: q+1
      41: q+1
      42: 1
      43: 1
      44: 1
      45: q+1
      46: q+1
      47: 1
      48: 1
      50: 1
      52: 1
      54: 1
      56: q+1
      57: q+1
      58: q+1
      60: 1
      61: 1
      64: 1
      66: 1
      68: 1
      69: 1
      70: 1
      71: 1
      72: q+1
      73: q+1
      74: q+1
      75: q+1
      76: 1
      78: 1
      80: 1
      84: q+1
      86: 1
      87: 1
      88: 1
      90: 1
      92: 1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: q+1
     101: 1
     102: q+1
     103: q+1
     104: 1
     105: 1
     108: 1
     110: 1
     116: 1
     118: 1
     120: 1
     121: 1
     122: 1
     123: 1
     124: 1
     126: 1
     128: 1
     130: 1
     132: 1
     146: 1
     147: 1
     148: 1
     152: 1
     154: 1
     157: q+1
     158: 1
     159: 1
     160: 1
     161: 1
     162: 1
     164: 1
     166: 1
     168: 1
     170: 1
     172: 1
     178: 1
     180: 1
     192: 1
     194: 1
     198: 1
     200: 1
     202: 1
     204: 1
     217: 1
     219: 1
     229: 1
     230: 1
     243: 1
     252: 1
     254: 1
     270: 1
     278: 1
     286: 1
     320: 1
     322: 1
     374: 1

375:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       5: q+1
       6: q+1
       7: q+1
       8: q+1
       9: q+1
      10: q+1
      12: q+1
      15: q+1
      16: q+1
      17: q+1
      19: q+1
      20: q+1
      21: q+1
      23: 1
      24: 1
      27: q+1
      28: q+1
      29: q+1
      30: q+1
      31: 1
      32: 1
      33: 1
      34: 1
      35: q+1
      36: q+1
      37: q+1
      38: q+1
      40: q+1
      41: q+1
      42: 1
      43: 1
      44: 1
      45: q+1
      46: q+1
      47: 1
      49: 1
      51: 1
      53: 1
      55: 1
      56: q+1
      57: q+1
      58: q+1
      60: 1
      61: 1
      64: 1
      66: 1
      68: 1
      69: 1
      70: 1
      71: 1
      72: q+1
      73: q+1
      74: q+1
      75: q+1
      77: 1
      79: 1
      81: 1
      84: q+1
      86: 1
      87: 1
      89: 1
      91: 1
      93: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: q+1
     101: 1
     102: q+1
     103: q+1
     104: 1
     105: 1
     108: 1
     110: 1
     116: 1
     118: 1
     120: 1
     121: 1
     122: 1
     123: 1
     125: 1
     127: 1
     129: 1
     131: 1
     133: 1
     146: 1
     147: 1
     148: 1
     152: 1
     154: 1
     157: q+1
     158: 1
     159: 1
     160: 1
     161: 1
     163: 1
     165: 1
     167: 1
     169: 1
     170: 1
     172: 1
     178: 1
     180: 1
     193: 1
     195: 1
     199: 1
     201: 1
     203: 1
     205: 1
     217: 1
     219: 1
     229: 1
     230: 1
     243: 1
     252: 1
     254: 1
     271: 1
     279: 1
     287: 1
     320: 1
     322: 1
     375: 1

376:   0: q+1
       2: q+1
       3: q+1
       4: q+1
       8: q+1
      12: q+1
      23: q+1
      24: q+1
      27: q+1
      30: q+1
      31: 1
      33: 1
      35: q+1
      37: q+1
      44: 1
      47: q+1
      48: 1
      52: 1
      64: q+1
      66: q+1
      68: 1
      70: 1
      72: q+1
      74: q+1
      80: 1
      86: q+1
      87: 1
      88: 1
      92: 1
     112: 1
     114: 1
     116: q+1
     118: q+1
     120: 1
     122: 1
     124: 1
     136: 1
     140: 1
     153: 1
     158: q+1
     159: 1
     162: 1
     166: 1
     182: 1
     184: 1
     190: 1
     198: 1
     232: 1
     236: 1
     242: 1
     244: 1
     246: 1
     276: 1
     301: 1
     305: 1
     324: 1
     376: 1

377:   0: q+1
       2: q+1
       3: q+1
       4: q+1
       8: q+1
      12: q+1
      23: q+1
      24: q+1
      27: q+1
      30: q+1
      31: 1
      33: 1
      35: q+1
      37: q+1
      44: 1
      47: q+1
      49: 1
      53: 1
      64: q+1
      66: q+1
      68: 1
      70: 1
      72: q+1
      74: q+1
      81: 1
      86: q+1
      87: 1
      89: 1
      93: 1
     112: 1
     114: 1
     116: q+1
     118: q+1
     120: 1
     122: 1
     125: 1
     137: 1
     141: 1
     153: 1
     158: q+1
     159: 1
     163: 1
     167: 1
     182: 1
     184: 1
     191: 1
     199: 1
     233: 1
     237: 1
     242: 1
     244: 1
     246: 1
     277: 1
     302: 1
     306: 1
     324: 1
     377: 1

378:   0: q+1
       1: q+1
       3: 1
       4: q+1
       5: q^2+2q+1
       6: 1
       7: q+1
       9: q+1
      10: q^2+2q+1
      11: q+1
      13: 1
      14: 1
      15: q+1
      16: 1
      17: q+1
      18: 1
      19: q+1
      20: 1
      21: q+1
      22: 1
      25: 1
      26: 1
      27: 1
      28: 1
      29: q+1
      31: q+1
      32: q+1
      34: q^2+2q+1
      35: q+1
      36: q+1
      38: q^2+2q+1
      39: 1
      40: 1
      41: 1
      42: q+1
      43: q+1
      45: q+1
      46: q+1
      48: q+1
      50: q+1
      54: q^2+2q+1
      56: q+1
      57: 1
      58: q+1
      59: 1
      62: 1
      63: 1
      65: 1
      67: 1
      68: 1
      69: 1
      71: q+1
      72: 1
      73: 1
      75: q+1
      76: q+1
      78: q+1
      82: 1
      84: 1
      85: 1
      88: 1
      90: 1
      94: q+1
      96: q+1
      98: 1
      99: 1
     100: q+1
     102: 1
     103: 1
     109: 1
     111: 1
     113: 1
     115: 1
     117: 1
     119: 1
     120: 1
     121: 1
     123: q+1
     126: 1
     128: 1
     130: q+1
     138: 1
     142: 1
     144: 1
     150: 1
     152: 1
     156: 1
     157: 1
     160: 1
     161: 1
     162: 1
     164: 1
     168: q+1
     175: 1
     177: 1
     179: 1
     181: 1
     183: 1
     185: 1
     188: 1
     194: 1
     202: 1
     204: 1
     208: 1
     212: 1
     222: 1
     227: 1
     234: 1
     238: 1
     240: 1
     243: 1
     257: 1
     259: 1
     260: 1
     282: 1
     286: 1
     327: 1
     331: 1
     334: 1
     378: 1

379:   0: q+1
       1: q+1
       3: 1
       4: q+1
       5: q^2+2q+1
       6: 1
       7: q+1
       9: q+1
      10: q^2+2q+1
      11: q+1
      13: 1
      14: 1
      15: q+1
      16: 1
      17: q+1
      18: 1
      19: q+1
      20: 1
      21: q+1
      22: 1
      25: 1
      26: 1
      27: 1
      28: 1
      29: q+1
      31: q+1
      32: q+1
      34: q^2+2q+1
      35: q+1
      36: q+1
      38: q^2+2q+1
      39: 1
      40: 1
      41: 1
      42: q+1
      43: q+1
      45: q+1
      46: q+1
      49: q+1
      51: q+1
      55: q^2+2q+1
      56: q+1
      57: 1
      58: q+1
      59: 1
      62: 1
      63: 1
      65: 1
      67: 1
      68: 1
      69: 1
      71: q+1
      72: 1
      73: 1
      75: q+1
      77: q+1
      79: q+1
      82: 1
      84: 1
      85: 1
      89: 1
      91: 1
      95: q+1
      96: q+1
      98: 1
      99: 1
     100: q+1
     102: 1
     103: 1
     109: 1
     111: 1
     113: 1
     115: 1
     117: 1
     119: 1
     120: 1
     121: 1
     123: q+1
     127: 1
     129: 1
     131: q+1
     139: 1
     143: 1
     144: 1
     150: 1
     152: 1
     156: 1
     157: 1
     160: 1
     161: 1
     163: 1
     165: 1
     169: q+1
     175: 1
     177: 1
     179: 1
     181: 1
     183: 1
     185: 1
     189: 1
     195: 1
     203: 1
     205: 1
     209: 1
     213: 1
     222: 1
     227: 1
     235: 1
     239: 1
     240: 1
     243: 1
     257: 1
     259: 1
     261: 1
     283: 1
     287: 1
     328: 1
     332: 1
     334: 1
     379: 1

380:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       6: q+1
       7: q+1
       8: q+1
      11: q+1
      19: q+1
      20: q+1
      21: q+1
      23: q+1
      24: q+1
      25: q+1
      27: 1
      28: 1
      31: q+1
      32: q+1
      33: q+1
      35: q+1
      36: q+1
      37: q+1
      41: 1
      43: q+1
      44: q+1
      46: q+1
      47: q+1
      48: q+1
      50: q+1
      52: q+1
      60: q+1
      61: q+1
      62: q+1
      64: 1
      65: 1
      68: 1
      69: 1
      72: 1
      73: 1
      78: q+1
      80: q+1
      83: 1
      88: 1
      90: 1
      97: q+1
      99: 1
     101: q+1
     103: 1
     108: 1
     109: 1
     112: 1
     113: 1
     116: 1
     117: 1
     120: 1
     121: 1
     128: 1
     132: q+1
     136: 1
     138: 1
     145: 1
     149: 1
     155: 1
     161: 1
     162: 1
     164: 1
     174: 1
     175: 1
     178: 1
     179: 1
     182: 1
     183: 1
     186: 1
     204: 1
     206: 1
     208: 1
     223: 1
     228: 1
     231: 1
     232: 1
     234: 1
     256: 1
     257: 1
     262: 1
     280: 1
     325: 1
     327: 1
     335: 1
     380: 1

381:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       6: q+1
       7: q+1
       8: q+1
      11: q+1
      19: q+1
      20: q+1
      21: q+1
      23: q+1
      24: q+1
      25: q+1
      27: 1
      28: 1
      31: q+1
      32: q+1
      33: q+1
      35: q+1
      36: q+1
      37: q+1
      41: 1
      43: q+1
      44: q+1
      46: q+1
      47: q+1
      49: q+1
      51: q+1
      53: q+1
      60: q+1
      61: q+1
      62: q+1
      64: 1
      65: 1
      68: 1
      69: 1
      72: 1
      73: 1
      79: q+1
      81: q+1
      83: 1
      89: 1
      91: 1
      97: q+1
      99: 1
     101: q+1
     103: 1
     108: 1
     109: 1
     112: 1
     113: 1
     116: 1
     117: 1
     120: 1
     121: 1
     129: 1
     133: q+1
     137: 1
     139: 1
     145: 1
     149: 1
     155: 1
     161: 1
     163: 1
     165: 1
     174: 1
     175: 1
     178: 1
     179: 1
     182: 1
     183: 1
     187: 1
     205: 1
     207: 1
     209: 1
     223: 1
     228: 1
     231: 1
     233: 1
     235: 1
     256: 1
     257: 1
     263: 1
     281: 1
     326: 1
     328: 1
     335: 1
     381: 1

382:   0: 1
       1: q+1
       2: 1
       3: q+1
       4: 1
       5: q+1
       6: 1
       7: q+1
       8: 1
       9: 1
      10: q+1
      11: 1
      13: 1
      15: q+1
      16: 1
      17: q+1
      18: 1
      19: 1
      20: 1
      21: 1
      23: 1
      24: 1
      25: 1
      26: 1
      27: 1
      28: 1
      29: 1
      31: 1
      32: q+1
      33: 1
      34: q+1
      35: 1
      36: q+1
      37: 1
      38: q+1
      39: 1
      40: 1
      41: 1
      42: q+1
      43: 1
      44: 1
      45: q+1
      46: 1
      47: 1
      48: 1
      50: q+1
      52: 1
      54: q+1
      56: 1
      57: 1
      58: 1
      60: 1
      61: 1
      62: 1
      64: 1
      65: 1
      67: 1
      68: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: 1
      76: q+1
      78: 1
      80: 1
      83: 1
      84: 1
      85: 1
      88: 1
      90: 1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     112: 1
     113: 1
     115: 1
     116: 1
     117: 1
     119: 1
     120: 1
     121: 1
     123: 1
     126: 1
     128: 1
     130: 1
     132: 1
     135: 1
     136: 1
     138: 1
     142: 1
     148: 1
     149: 1
     150: 1
     152: 1
     154: 1
     155: 1
     156: 1
     157: 1
     160: 1
     161: 1
     162: 1
     164: 1
     168: 1
     182: 1
     183: 1
     185: 1
     186: 1
     188: 1
     194: 1
     200: 1
     202: 1
     204: 1
     221: 1
     226: 1
     231: 1
     232: 1
     234: 1
     238: 1
     240: 1
     243: 1
     264: 1
     280: 1
     282: 1
     286: 1
     333: 1
     382: 1

383:   0: 1
       1: q+1
       2: 1
       3: q+1
       4: 1
       5: q+1
       6: 1
       7: q+1
       8: 1
       9: 1
      10: q+1
      11: 1
      13: 1
      15: q+1
      16: 1
      17: q+1
      18: 1
      19: 1
      20: 1
      21: 1
      23: 1
      24: 1
      25: 1
      26: 1
      27: 1
      28: 1
      29: 1
      31: 1
      32: q+1
      33: 1
      34: q+1
      35: 1
      36: q+1
      37: 1
      38: q+1
      39: 1
      40: 1
      41: 1
      42: q+1
      43: 1
      44: 1
      45: q+1
      46: 1
      47: 1
      49: 1
      51: q+1
      53: 1
      55: q+1
      56: 1
      57: 1
      58: 1
      60: 1
      61: 1
      62: 1
      64: 1
      65: 1
      67: 1
      68: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: 1
      77: q+1
      79: 1
      81: 1
      83: 1
      84: 1
      85: 1
      89: 1
      91: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     112: 1
     113: 1
     115: 1
     116: 1
     117: 1
     119: 1
     120: 1
     121: 1
     123: 1
     127: 1
     129: 1
     131: 1
     133: 1
     135: 1
     137: 1
     139: 1
     143: 1
     148: 1
     149: 1
     150: 1
     152: 1
     154: 1
     155: 1
     156: 1
     157: 1
     160: 1
     161: 1
     163: 1
     165: 1
     169: 1
     182: 1
     183: 1
     185: 1
     187: 1
     189: 1
     195: 1
     201: 1
     203: 1
     205: 1
     221: 1
     226: 1
     231: 1
     233: 1
     235: 1
     239: 1
     240: 1
     243: 1
     265: 1
     281: 1
     283: 1
     287: 1
     333: 1
     383: 1

384:   0: 2q+1
       1: 2q+1
       2: 3q+1
       3: q^2+q+1
       4: 2q+1
       6: q^2+q+1
       7: 2q+1
       8: 3q+1
      12: q^2+2q+1
      19: 2q+1
      20: q^2+q+1
      21: 2q+1
      23: q+1
      24: q+1
      27: q+1
      28: q+1
      30: 2q+1
      31: 2q+1
      32: 2q+1
      33: 3q+1
      35: 2q+1
      36: 2q+1
      37: 3q+1
      41: q+1
      43: 2q+1
      44: q+1
      46: 2q+1
      47: q+1
      48: q+1
      49: q
      50: q+1
      51: q
      52: 2q+1
      53: q
      60: q+1
      61: q+1
      64: 1
      66: 1
      68: q+1
      69: q+1
      70: 2q+1
      72: q+1
      73: q+1
      74: 2q+1
      78: q+1
      79: q
      80: q+1
      86: 1
      87: 1
      88: 1
      90: 1
      92: q+1
      97: q+1
      99: q+1
     101: q+1
     103: q+1
     108: 1
     110: 1
     112: 1
     114: 1
     116: 1
     118: 1
     120: q+1
     121: q+1
     122: 2q+1
     124: 1
     128: 1
     132: q+1
     146: 1
     147: 1
     151: 1
     153: 1
     158: 1
     159: 1
     161: q+1
     162: 1
     164: 1
     166: q+1
     174: 1
     176: 1
     178: 1
     180: 1
     182: 1
     184: 1
     192: 1
     196: 1
     198: 1
     204: 1
     224: 1
     225: 1
     229: 1
     230: 1
     241: 1
     242: 1
     256: 1
     258: 1
     274: 1
     278: 1
     284: 1
     336: 1
     337: 1
     384: 1

385:   0: 2q+1
       1: 2q+1
       2: 3q+1
       3: q^2+q+1
       4: 2q+1
       6: q^2+q+1
       7: 2q+1
       8: 3q+1
      12: q^2+2q+1
      19: 2q+1
      20: q^2+q+1
      21: 2q+1
      23: q+1
      24: q+1
      27: q+1
      28: q+1
      30: 2q+1
      31: 2q+1
      32: 2q+1
      33: 3q+1
      35: 2q+1
      36: 2q+1
      37: 3q+1
      41: q+1
      43: 2q+1
      44: q+1
      46: 2q+1
      47: q+1
      48: q
      49: q+1
      50: q
      51: q+1
      52: q
      53: 2q+1
      60: q+1
      61: q+1
      64: 1
      66: 1
      68: q+1
      69: q+1
      70: 2q+1
      72: q+1
      73: q+1
      74: 2q+1
      78: q
      79: q+1
      81: q+1
      86: 1
      87: 1
      89: 1
      91: 1
      93: q+1
      97: q+1
      99: q+1
     101: q+1
     103: q+1
     108: 1
     110: 1
     112: 1
     114: 1
     116: 1
     118: 1
     120: q+1
     121: q+1
     122: 2q+1
     125: 1
     129: 1
     133: q+1
     146: 1
     147: 1
     151: 1
     153: 1
     158: 1
     159: 1
     161: q+1
     163: 1
     165: 1
     167: q+1
     174: 1
     176: 1
     178: 1
     180: 1
     182: 1
     184: 1
     193: 1
     197: 1
     199: 1
     205: 1
     224: 1
     225: 1
     229: 1
     230: 1
     241: 1
     242: 1
     256: 1
     258: 1
     275: 1
     279: 1
     285: 1
     336: 1
     337: 1
     385: 1

386:   0: 1
       2: 1
       3: q^3+1
       4: 1
       8: 1
      12: q^3+1
      23: 1
      24: 1
      27: 1
      30: 1
      31: 1
      33: 1
      35: 1
      37: 1
      44: 1
      47: 1
      48: 1
      52: 1
      64: 1
      66: 1
      68: 1
      70: 1
      72: 1
      74: 1
      80: 1
      86: 1
      87: 1
      88: 1
      92: 1
     112: 1
     114: 1
     116: 1
     118: 1
     120: 1
     122: 1
     124: 1
     136: 1
     140: 1
     151: 1
     153: 1
     158: 1
     159: 1
     162: 1
     166: 1
     182: 1
     184: 1
     190: 1
     196: 1
     198: 1
     232: 1
     236: 1
     241: 1
     242: 1
     272: 1
     276: 1
     284: 1
     386: 1

387:   0: 1
       2: 1
       3: q^3+1
       4: 1
       8: 1
      12: q^3+1
      23: 1
      24: 1
      27: 1
      30: 1
      31: 1
      33: 1
      35: 1
      37: 1
      44: 1
      47: 1
      49: 1
      53: 1
      64: 1
      66: 1
      68: 1
      70: 1
      72: 1
      74: 1
      81: 1
      86: 1
      87: 1
      89: 1
      93: 1
     112: 1
     114: 1
     116: 1
     118: 1
     120: 1
     122: 1
     125: 1
     137: 1
     141: 1
     151: 1
     153: 1
     158: 1
     159: 1
     163: 1
     167: 1
     182: 1
     184: 1
     191: 1
     197: 1
     199: 1
     233: 1
     237: 1
     241: 1
     242: 1
     273: 1
     277: 1
     285: 1
     387: 1

388:   0: q+1
       2: q+1
       3: q+1
       4: q+1
       8: q+1
      12: q+1
      23: 1
      24: 1
      27: q+1
      30: q+1
      31: q+1
      33: q+1
      35: q+1
      37: q+1
      44: 1
      47: 1
      48: 1
      49: q
      52: 1
      53: q
      64: 1
      66: 1
      68: q+1
      70: q+1
      72: q+1
      74: q+1
      80: 1
      86: 1
      87: 1
      88: 1
      89: q
      92: 1
      93: q
     112: 1
     114: 1
     116: 1
     118: 1
     120: q+1
     122: q+1
     124: 1
     151: 1
     153: 1
     158: 1
     159: 1
     162: 1
     163: q
     166: 1
     167: q
     182: 1
     184: 1
     196: 1
     198: 1
     241: 1
     242: 1
     244: 1
     246: 1
     284: 1
     316: 1
     324: 1
     388: 1

389:   0: q+1
       2: q+1
       3: q+1
       4: q+1
       8: q+1
      12: q+1
      23: 1
      24: 1
      27: q+1
      30: q+1
      31: q+1
      33: q+1
      35: q+1
      37: q+1
      44: 1
      47: 1
      48: q
      49: 1
      52: q
      53: 1
      64: 1
      66: 1
      68: q+1
      70: q+1
      72: q+1
      74: q+1
      81: 1
      86: 1
      87: 1
      88: q
      89: 1
      92: q
      93: 1
     112: 1
     114: 1
     116: 1
     118: 1
     120: q+1
     122: q+1
     125: 1
     151: 1
     153: 1
     158: 1
     159: 1
     162: q
     163: 1
     166: q
     167: 1
     182: 1
     184: 1
     197: 1
     199: 1
     241: 1
     242: 1
     244: 1
     246: 1
     285: 1
     316: 1
     324: 1
     389: 1

390:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: 1
       5: 1
       6: q+1
       7: 1
       8: 1
       9: 1
      10: q^3+1
      11: q+1
      12: 1
      13: 1
      14: 1
      15: 1
      16: 1
      17: 1
      18: 1
      19: q+1
      20: q+1
      21: 1
      22: 1
      23: q+1
      24: 1
      25: q+1
      26: 1
      27: q+1
      28: q+1
      29: 1
      30: 1
      35: 1
      36: 1
      37: 1
      38: 1
      39: 1
      40: 1
      41: q+1
      45: 1
      46: 1
      47: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: q+1
      61: 1
      62: q+1
      63: 1
      64: q+1
      65: q+1
      66: 1
      67: 1
      72: 1
      73: 1
      74: 1
      75: 1
      82: 1
      83: q+1
      84: 1
      85: 1
      86: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: q+1
     109: q+1
     110: 1
     111: 1
     116: 1
     117: 1
     118: 1
     119: 1
     134: 1
     135: 1
     144: 1
     145: q+1
     146: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     170: 1
     171: 1
     172: 1
     173: 1
     178: 1
     179: 1
     180: 1
     181: 1
     214: 1
     215: 1
     216: 1
     217: 1
     218: 1
     226: 1
     227: 1
     228: 1
     229: 1
     296: 1
     297: 1
     317: 1
     321: 1
     390: 1

391:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: 1
       5: 1
       6: q+1
       7: 1
       8: 1
       9: 1
      10: q^3+1
      11: q+1
      12: 1
      13: 1
      14: 1
      15: 1
      16: 1
      17: 1
      18: 1
      19: q+1
      20: q+1
      21: 1
      22: 1
      23: q+1
      24: 1
      25: q+1
      26: 1
      27: q+1
      28: q+1
      29: 1
      30: 1
      31: 1
      32: 1
      33: 1
      34: 1
      39: 1
      40: 1
      41: q+1
      42: 1
      43: 1
      44: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: q+1
      61: 1
      62: q+1
      63: 1
      64: q+1
      65: q+1
      66: 1
      67: 1
      68: 1
      69: 1
      70: 1
      71: 1
      82: 1
      83: q+1
      84: 1
      85: 1
      87: 1
      96: 1
      97: 1
      98: 1
      99: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: q+1
     109: q+1
     110: 1
     111: 1
     112: 1
     113: 1
     114: 1
     115: 1
     134: 1
     135: 1
     144: 1
     145: q+1
     147: 1
     148: 1
     149: 1
     150: 1
     152: 1
     153: 1
     170: 1
     171: 1
     172: 1
     173: 1
     174: 1
     175: 1
     176: 1
     177: 1
     214: 1
     215: 1
     216: 1
     219: 1
     220: 1
     221: 1
     222: 1
     223: 1
     225: 1
     296: 1
     298: 1
     309: 1
     315: 1
     391: 1

392:   0: q^2+3q+2
       1: 4q+2
       2: 2q+2
       3: q^2+3q+2
       4: 2q+2
       5: 4q+2
       6: 4q+2
       7: 2q^2+4q+2
       8: 2
       9: 4q+2
      10: 2q^2+4q+2
      11: q^2+2q+1
      12: 2
      13: q^2+2q+1
      15: 4q+2
      16: 4q+2
      17: 2q^2+4q+2
      18: q^2+2q+1
      19: 2q+2
      20: 2q+2
      21: 2q+2
      23: q+2
      24: 2
      25: 2q+1
      26: 2q+1
      27: q^2+3q+2
      28: 4q+2
      29: 4q+2
      30: 2
      31: q+2
      32: 3q+2
      33: 2
      34: 3q+2
      35: q+2
      36: 3q+2
      37: 2
      38: 3q+2
      39: 2q+1
      40: 4q+2
      41: 2q+2
      42: 3q+2
      43: q+2
      44: 2
      45: 3q+2
      46: q+2
      47: 2
      48: 1
      49: 1
      50: q+1
      51: q+1
      52: 1
      53: 1
      54: q+1
      55: q+1
      56: 2q+2
      57: 2q+2
      58: 2q+2
      60: 2
      61: 2
      62: q+1
      64: q+2
      65: 2q+1
      66: 2
      67: 2q+1
      68: q+2
      69: 3q+2
      70: 2
      71: 3q+2
      72: q+2
      73: 3q+2
      74: 2
      75: 3q+2
      76: q+1
      77: q+1
      78: 1
      79: 1
      80: 1
      81: 1
      83: 1
      84: 2q+2
      85: 2q+1
      86: 2
      87: 2
      88: 1
      89: 1
      90: q+1
      91: q+1
      92: 1
      93: 1
      94: q+1
      95: q+1
      96: q+2
      97: 2
      98: 3q+2
      99: q+2
     100: q+2
     101: 2
     102: 3q+2
     103: q+2
     104: 2
     105: 2
     106: q+1
     108: 2
     109: q+1
     110: 2
     112: 1
     113: q+1
     114: 1
     115: q+1
     116: 1
     117: q+1
     118: 1
     119: q+1
     120: 2
     121: 2
     123: 2
     124: 1
     125: 1
     126: q+1
     127: q+1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 1
     135: 1
     145: 1
     146: 2
     147: 2
     148: 2
     149: 1
     150: q+1
     152: q+2
     153: 1
     154: 2
     155: 1
     156: q+1
     157: q+2
     158: 1
     160: 2
     161: 2
     162: 1
     163: 1
     164: 1
     165: 1
     168: 1
     169: 1
     170: 2
     171: q+1
     172: 2
     182: 1
     183: 1
     185: 1
     192: 1
     193: 1
     194: 1
     195: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     216: 1
     217: 2
     218: 1
     219: 2
     220: 1
     221: 1
     226: 1
     231: 1
     240: 1
     243: 2
     244: 1
     245: 1
     247: 1
     270: 1
     271: 1
     286: 1
     287: 1
     297: 1
     298: 1
     299: 1
     300: 1
     333: 1
     392: 1

393:   0: 2
       1: 2
       3: 2
       4: 2
       5: 2q+2
       6: 2
       7: 2
       9: 2q+2
      10: 2q+2
      11: q^3+q^2+q+1
      13: q^2+1
      14: q^2+1
      15: 2
      16: 2
      17: 2
      18: q^2+1
      19: 2
      20: 2
      21: 2
      22: q^2+1
      25: 1
      26: 1
      27: 2
      28: 2
      29: 2q+2
      31: 2
      32: 2
      34: 2q+2
      35: 2
      36: 2
      38: 2q+2
      39: 1
      40: 2
      41: 2
      42: 2
      43: 2
      45: 2
      46: 2
      48: 1
      49: 1
      50: 1
      51: 1
      54: q+1
      55: q+1
      56: 2
      57: 2
      58: 2
      59: q^2+1
      62: 1
      63: 1
      65: 1
      67: 1
      68: 2
      69: 2
      71: 2q+2
      72: 2
      73: 2
      75: 2q+2
      76: 1
      77: 1
      78: 1
      79: 1
      82: 1
      84: 2
      85: 1
      88: 1
      89: 1
      90: 1
      91: 1
      94: q+1
      95: q+1
      96: 2
      98: 2
      99: 2
     100: 2
     102: 2
     103: 2
     109: 1
     111: 1
     113: 1
     115: 1
     117: 1
     119: 1
     120: 2
     121: 2
     123: 2q+2
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     144: 1
     150: 1
     152: 2
     156: 1
     157: 2
     160: 2
     161: 2
     162: 1
     163: 1
     164: 1
     165: 1
     168: q+1
     169: q+1
     175: 1
     177: 1
     179: 1
     181: 1
     183: 1
     185: 1
     194: 1
     195: 1
     202: 1
     203: 1
     204: 1
     205: 1
     222: 1
     227: 1
     240: 1
     243: 2
     245: 1
     247: 1
     257: 1
     259: 1
     286: 1
     287: 1
     300: 1
     334: 1
     339: 1
     341: 1
     393: 1

394:   0: q+1
       1: q+1
       2: q^2+2q+1
       3: q+1
       4: 1
       6: q+1
       7: 1
       8: q+1
      12: q+1
      19: q+1
      20: q+1
      21: 1
      23: q+1
      24: 1
      27: q+1
      28: q+1
      30: q+1
      31: 1
      32: 1
      33: q+1
      35: 1
      36: 1
      37: q+1
      41: q+1
      43: 1
      44: 1
      46: 1
      47: 1
      48: 1
      50: 1
      52: q+1
      60: q+1
      61: 1
      64: q+1
      66: 1
      68: 1
      69: 1
      70: q+1
      72: 1
      73: 1
      74: q+1
      78: 1
      80: 1
      86: 1
      87: 1
      88: 1
      90: 1
      92: q+1
      97: 1
      99: 1
     101: 1
     103: 1
     108: q+1
     110: 1
     112: 1
     114: 1
     116: 1
     118: 1
     120: 1
     121: 1
     124: 1
     128: 1
     132: 1
     136: 1
     140: 1
     146: 1
     147: 1
     153: 1
     158: 1
     161: 1
     162: 1
     164: 1
     174: 1
     176: 1
     178: 1
     180: 1
     182: 1
     190: 1
     192: 1
     204: 1
     206: 1
     210: 1
     225: 1
     229: 1
     232: 1
     244: 1
     256: 1
     266: 1
     301: 1
     325: 1
     338: 1
     394: 1

395:   0: q+1
       1: q+1
       2: q^2+2q+1
       3: q+1
       4: 1
       6: q+1
       7: 1
       8: q+1
      12: q+1
      19: q+1
      20: q+1
      21: 1
      23: q+1
      24: 1
      27: q+1
      28: q+1
      30: q+1
      31: 1
      32: 1
      33: q+1
      35: 1
      36: 1
      37: q+1
      41: q+1
      43: 1
      44: 1
      46: 1
      47: 1
      49: 1
      51: 1
      53: q+1
      60: q+1
      61: 1
      64: q+1
      66: 1
      68: 1
      69: 1
      70: q+1
      72: 1
      73: 1
      74: q+1
      79: 1
      81: 1
      86: 1
      87: 1
      89: 1
      91: 1
      93: q+1
      97: 1
      99: 1
     101: 1
     103: 1
     108: q+1
     110: 1
     112: 1
     114: 1
     116: 1
     118: 1
     120: 1
     121: 1
     125: 1
     129: 1
     133: 1
     137: 1
     141: 1
     146: 1
     147: 1
     153: 1
     158: 1
     161: 1
     163: 1
     165: 1
     174: 1
     176: 1
     178: 1
     180: 1
     182: 1
     191: 1
     193: 1
     205: 1
     207: 1
     211: 1
     225: 1
     229: 1
     233: 1
     244: 1
     256: 1
     267: 1
     302: 1
     326: 1
     338: 1
     395: 1

396:   0: 1
       1: 1
       3: 1
       4: 1
       6: 1
       7: 1
      11: q+1
      19: 1
      20: 1
      21: 1
      25: 1
      27: 1
      28: 1
      31: 1
      32: 1
      35: 1
      36: 1
      41: 1
      43: 1
      46: 1
      48: 1
      50: 1
      62: 1
      65: 1
      68: 1
      69: 1
      72: 1
      73: 1
      78: 1
      88: 1
      90: 1
      99: 1
     103: 1
     109: 1
     113: 1
     117: 1
     120: 1
     121: 1
     128: 1
     138: 1
     161: 1
     162: 1
     164: 1
     175: 1
     179: 1
     183: 1
     204: 1
     208: 1
     234: 1
     245: 1
     257: 1
     303: 1
     327: 1
     339: 1
     396: 1

397:   0: 1
       1: 1
       3: 1
       4: 1
       6: 1
       7: 1
      11: q+1
      19: 1
      20: 1
      21: 1
      25: 1
      27: 1
      28: 1
      31: 1
      32: 1
      35: 1
      36: 1
      41: 1
      43: 1
      46: 1
      49: 1
      51: 1
      62: 1
      65: 1
      68: 1
      69: 1
      72: 1
      73: 1
      79: 1
      89: 1
      91: 1
      99: 1
     103: 1
     109: 1
     113: 1
     117: 1
     120: 1
     121: 1
     129: 1
     139: 1
     161: 1
     163: 1
     165: 1
     175: 1
     179: 1
     183: 1
     205: 1
     209: 1
     235: 1
     245: 1
     257: 1
     304: 1
     328: 1
     339: 1
     397: 1

398:   0: 1
       1: 1
       2: q+1
       3: 1
       4: q+1
       6: 1
       7: q+1
       8: q^2+2q+1
      12: q^2+2q+1
      19: 1
      20: 1
      21: q+1
      23: 1
      24: q+1
      27: 1
      28: 1
      30: q^2+2q+1
      31: 1
      32: 1
      33: q+1
      35: 1
      36: 1
      37: q+1
      41: 1
      43: 1
      44: 1
      46: 1
      47: 1
      48: 1
      50: 1
      52: q+1
      60: 1
      61: q+1
      64: 1
      66: q+1
      68: 1
      69: 1
      70: q+1
      72: 1
      73: 1
      74: q+1
      78: 1
      80: 1
      86: 1
      87: 1
      88: 1
      90: 1
      92: q+1
      97: 1
      99: 1
     101: 1
     103: 1
     108: 1
     110: q+1
     112: 1
     114: 1
     116: 1
     118: 1
     122: q+1
     124: 1
     128: 1
     132: 1
     136: 1
     140: 1
     146: 1
     147: 1
     153: 1
     158: 1
     166: q+1
     174: 1
     176: 1
     178: 1
     180: 1
     184: 1
     190: 1
     192: 1
     206: 1
     210: 1
     225: 1
     229: 1
     236: 1
     246: 1
     258: 1
     266: 1
     305: 1
     329: 1
     340: 1
     398: 1

399:   0: 1
       1: 1
       2: q+1
       3: 1
       4: q+1
       6: 1
       7: q+1
       8: q^2+2q+1
      12: q^2+2q+1
      19: 1
      20: 1
      21: q+1
      23: 1
      24: q+1
      27: 1
      28: 1
      30: q^2+2q+1
      31: 1
      32: 1
      33: q+1
      35: 1
      36: 1
      37: q+1
      41: 1
      43: 1
      44: 1
      46: 1
      47: 1
      49: 1
      51: 1
      53: q+1
      60: 1
      61: q+1
      64: 1
      66: q+1
      68: 1
      69: 1
      70: q+1
      72: 1
      73: 1
      74: q+1
      79: 1
      81: 1
      86: 1
      87: 1
      89: 1
      91: 1
      93: q+1
      97: 1
      99: 1
     101: 1
     103: 1
     108: 1
     110: q+1
     112: 1
     114: 1
     116: 1
     118: 1
     122: q+1
     125: 1
     129: 1
     133: 1
     137: 1
     141: 1
     146: 1
     147: 1
     153: 1
     158: 1
     167: q+1
     174: 1
     176: 1
     178: 1
     180: 1
     184: 1
     191: 1
     193: 1
     207: 1
     211: 1
     225: 1
     229: 1
     237: 1
     246: 1
     258: 1
     267: 1
     306: 1
     330: 1
     340: 1
     399: 1

400:   5: q+1
       9: q+1
      10: q+1
      13: 1
      14: 1
      22: 1
      26: 1
      29: q+1
      34: q+1
      38: q+1
      54: q+1
      63: 1
      67: 1
      71: q+1
      75: q+1
      94: q+1
     111: 1
     115: 1
     119: 1
     123: q+1
     142: 1
     168: q+1
     177: 1
     181: 1
     185: 1
     212: 1
     238: 1
     247: 1
     259: 1
     307: 1
     331: 1
     341: 1
     400: 1

401:   5: q+1
       9: q+1
      10: q+1
      13: 1
      14: 1
      22: 1
      26: 1
      29: q+1
      34: q+1
      38: q+1
      55: q+1
      63: 1
      67: 1
      71: q+1
      75: q+1
      95: q+1
     111: 1
     115: 1
     119: 1
     123: q+1
     143: 1
     169: q+1
     177: 1
     181: 1
     185: 1
     213: 1
     239: 1
     247: 1
     259: 1
     308: 1
     332: 1
     341: 1
     401: 1

402:   0: 3q+2
       1: 3q+2
       2: 2q+2
       3: 3q+2
       4: 2q+2
       6: 3q+2
       7: 2q+2
       8: 2
      11: 2q^2+3q+1
      12: 2
      19: 3q+2
      20: 3q+2
      21: 2q+2
      23: q+2
      24: 2
      25: 3q+1
      27: 3q+2
      28: 3q+2
      30: 2
      31: q+2
      32: q+2
      33: 2
      35: q+2
      36: q+2
      37: 2
      41: 3q+2
      43: q+2
      44: 2
      46: q+2
      47: 2
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      60: q+2
      61: 2
      62: 3q+1
      64: q+2
      65: 3q+1
      66: 2
      68: q+2
      69: q+2
      70: 2
      72: q+2
      73: q+2
      74: 2
      78: 1
      79: 1
      80: 1
      81: 1
      83: q+1
      86: 2
      87: 2
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 1
      97: 2
      99: q+2
     101: 2
     103: q+2
     108: q+2
     109: 3q+1
     110: 2
     112: 1
     113: q+1
     114: 1
     116: 1
     117: q+1
     118: 1
     120: 2
     121: 2
     124: 1
     125: 1
     128: 1
     129: 1
     132: 1
     133: 1
     145: q+1
     146: 2
     147: 2
     149: 1
     153: 1
     155: 1
     158: 1
     161: 2
     162: 1
     163: 1
     164: 1
     165: 1
     174: 1
     175: q+1
     176: 1
     178: 1
     179: q+1
     180: 1
     182: 1
     183: 1
     192: 1
     193: 1
     204: 1
     205: 1
     218: 1
     220: 1
     223: 1
     225: 1
     228: 1
     229: 1
     231: 1
     244: 1
     245: 1
     256: 1
     257: 1
     299: 1
     315: 1
     321: 1
     335: 1
     338: 1
     339: 1
     402: 1

403:   0: 1
       1: 1
       2: 1
       3: q+1
       4: 1
       5: 1
       6: q+1
       7: 1
       8: 1
       9: q+1
      10: 1
      11: q+1
      13: q+1
      14: q+1
      15: 1
      16: q+1
      17: 1
      18: q+1
      19: 1
      20: q+1
      21: 1
      22: q+1
      23: 1
      24: 1
      25: q+1
      26: q+1
      27: 1
      28: 1
      29: 1
      31: 1
      32: 1
      33: 1
      34: 1
      39: q+1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      56: 1
      57: q+1
      58: 1
      59: q+1
      60: 1
      61: 1
      62: q+1
      63: q+1
      64: 1
      65: 1
      67: 1
      68: 1
      69: 1
      71: 1
      82: q+1
      83: 1
      84: 1
      85: 1
      96: 1
      97: 1
      98: 1
      99: 1
     104: 1
     105: 1
     106: q+1
     107: q+1
     108: 1
     109: 1
     111: 1
     112: 1
     113: 1
     115: 1
     134: q+1
     135: 1
     144: 1
     145: 1
     148: 1
     149: 1
     150: 1
     152: 1
     170: 1
     171: 1
     173: 1
     174: 1
     175: 1
     177: 1
     214: 1
     215: 1
     216: 1
     221: 1
     222: 1
     223: 1
     248: 1
     249: 1
     251: 1
     296: 1
     309: 1
     310: 1
     311: 1
     403: 1

404:   0: q+2
       1: q^2+2
       2: q+2
       3: q^2+2q+1
       4: q+2
       5: q^2+2
       6: q+1
       7: q^2+2
       8: q+2
       9: q+1
      10: q^2+2
      11: q+1
      12: q+1
      13: q+1
      15: q^2+2
      16: q+1
      17: q^2+2
      18: q+1
      19: 2
      20: q+1
      21: 2
      23: q+2
      24: q+2
      25: q+1
      26: q+1
      27: q+1
      28: 1
      29: 1
      30: 1
      31: q+2
      32: q^2+2
      33: q+2
      34: q^2+2
      35: 2
      36: 2
      37: 2
      38: 2
      39: q+1
      40: 1
      41: 1
      42: q^2+2
      43: 2
      44: q+2
      45: 2
      46: 2
      47: 2
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 2
      57: q+1
      58: 2
      60: 2
      61: 2
      62: q+1
      64: q+1
      65: 1
      66: 1
      67: 1
      68: q+1
      69: 1
      70: 1
      71: 1
      72: 1
      73: 1
      74: 1
      75: 1
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: 1
      83: 1
      84: 1
      85: 1
      86: 1
      96: 2
      97: 2
      98: 1
      99: 1
     100: 2
     101: 2
     102: 1
     103: 1
     104: 2
     105: 2
     106: q+1
     108: 1
     109: 1
     110: 1
     112: q+1
     113: 1
     114: 1
     115: 1
     116: 1
     117: 1
     118: 1
     119: 1
     120: 1
     121: 1
     122: 1
     123: 1
     130: 1
     131: 1
     132: 1
     133: 1
     135: 1
     145: 1
     146: 1
     148: 2
     149: 1
     150: 1
     151: 1
     152: 1
     154: 2
     155: 1
     156: 1
     157: 1
     158: 1
     160: 1
     161: 1
     170: 1
     171: 1
     172: 1
     174: 1
     175: 1
     176: 1
     182: 1
     183: 1
     184: 1
     185: 1
     200: 1
     201: 1
     216: 1
     217: 1
     218: 1
     221: 1
     223: 1
     224: 1
     226: 1
     231: 1
     240: 1
     241: 1
     243: 1
     248: 1
     249: 1
     250: 1
     297: 1
     311: 1
     312: 1
     313: 1
     333: 1
     404: 1

405:   0: q+1
       1: 1
       2: q+1
       3: q+1
       4: q+1
       5: 1
       6: 1
       7: 1
       8: q+1
       9: 1
      10: 1
      11: 1
      12: q+1
      13: 1
      15: 1
      16: 1
      17: 1
      18: 1
      19: 1
      20: 1
      21: 1
      23: q+1
      24: q+1
      25: 1
      26: 1
      27: q+1
      28: 1
      29: 1
      30: q+1
      31: q+1
      32: 1
      33: q+1
      34: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: q+1
      56: 1
      57: 1
      58: 1
      60: 1
      61: 1
      62: 1
      64: q+1
      65: 1
      66: q+1
      67: 1
      68: q+1
      69: 1
      70: q+1
      71: 1
      83: 1
      84: 1
      85: 1
      87: q+1
      96: 1
      97: 1
      98: 1
      99: 1
     104: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: 1
     112: q+1
     113: 1
     114: q+1
     115: 1
     135: 1
     145: 1
     147: 1
     148: 1
     149: 1
     150: 1
     152: 1
     153: q+1
     170: 1
     171: 1
     172: 1
     174: 1
     175: 1
     176: 1
     216: 1
     219: 1
     220: 1
     221: 1
     223: 1
     225: 1
     248: 1
     249: 1
     250: 1
     298: 1
     311: 1
     314: 1
     315: 1
     405: 1

406:   0: q^2+2q+2
       1: q^2+q+2
       2: 2q+2
       3: q^2+2q+2
       4: q^2+2q+2
       6: q^2+q+2
       7: q^2+q+2
       8: 2q+2
      11: q^2+q+1
      12: 2q+2
      19: q+2
      20: q+2
      21: q+2
      23: q+2
      24: q+2
      25: q+1
      27: q^2+2q+2
      28: q^2+q+2
      30: 2q+2
      31: q^2+2q+2
      32: q^2+q+2
      33: 2q+2
      35: 2
      36: 2
      37: 2
      41: q+2
      43: q+2
      44: q+2
      46: 2
      47: 2
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      60: 2
      61: 2
      62: q+1
      64: q+2
      65: q+1
      66: q+2
      68: q^2+2q+2
      69: q^2+q+2
      70: 2q+2
      72: 2
      73: 2
      74: 2
      78: 1
      79: 1
      80: 1
      81: 1
      83: 1
      86: 2
      87: q+2
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 1
      97: 2
      99: q+2
     101: 2
     103: 2
     108: 2
     109: q+1
     110: 2
     112: q+2
     113: q+1
     114: q+2
     116: 1
     117: 1
     118: 1
     120: 2
     121: 2
     122: 2
     124: 1
     125: 1
     128: 1
     129: 1
     132: 1
     133: 1
     145: 1
     146: 2
     147: 2
     149: 1
     151: 2
     153: q+2
     155: 1
     158: 1
     161: 2
     162: 1
     163: 1
     164: 1
     165: 1
     166: 1
     167: 1
     174: 2
     175: q+1
     176: 2
     182: 1
     183: 1
     184: 1
     192: 1
     193: 1
     196: 1
     197: 1
     204: 1
     205: 1
     218: 1
     220: 1
     223: 1
     224: 2
     225: 2
     231: 1
     241: 1
     244: 1
     245: 1
     246: 1
     274: 1
     275: 1
     299: 1
     313: 1
     315: 1
     316: 1
     406: 1

407:   0: q+2
       1: q+2
       2: q^2+3q+2
       3: q+2
       4: q+2
       6: q+2
       7: q+2
       8: q^2+3q+2
      12: q^2+3q+2
      19: q+2
      20: q+2
      21: q+2
      23: 2
      24: 2
      27: q+2
      28: q+2
      30: q^2+3q+2
      31: q+2
      32: q+2
      33: q^2+3q+2
      35: 2
      36: 2
      37: 2q+2
      41: q+2
      43: q+2
      44: 2
      46: 2
      47: 2
      48: 1
      49: 1
      50: 1
      51: 1
      52: q+1
      53: q+1
      60: 2
      61: 2
      64: 2
      66: 2
      68: q+2
      69: q+2
      70: q^2+3q+2
      72: 2
      73: 2
      74: 2q+2
      78: 1
      79: 1
      80: 1
      81: 1
      86: 2
      87: 2
      88: 1
      89: 1
      90: 1
      91: 1
      92: q+1
      93: q+1
      97: 2
      99: q+2
     101: 2
     103: 2
     108: 2
     110: 2
     112: 2
     114: 2
     116: 1
     118: 1
     120: 2
     121: 2
     122: 2q+2
     124: 1
     125: 1
     128: 1
     129: 1
     132: 1
     133: 1
     146: 2
     147: 2
     151: 2
     153: 2
     158: 1
     161: 2
     162: 1
     163: 1
     164: 1
     165: 1
     166: q+1
     167: q+1
     174: 2
     176: 2
     178: 1
     180: 1
     182: 1
     184: 1
     192: 1
     193: 1
     196: 1
     197: 1
     204: 1
     205: 1
     224: 2
     225: 2
     229: 1
     241: 1
     244: 1
     246: 1
     256: 1
     258: 1
     274: 1
     275: 1
     316: 1
     336: 1
     338: 1
     340: 1
     407: 1

408:   0: 1
       1: 1
       2: 1
       3: q+1
       4: 1
       5: 1
       6: q+1
       7: 1
       8: 1
       9: q+1
      10: 1
      11: q+1
      13: q+1
      14: q+1
      15: 1
      16: q+1
      17: 1
      18: q+1
      19: 1
      20: q+1
      21: 1
      22: q+1
      23: 1
      24: 1
      25: q+1
      26: q+1
      27: 1
      28: 1
      29: 1
      35: 1
      36: 1
      37: 1
      38: 1
      39: q+1
      40: 1
      41: 1
      45: 1
      46: 1
      47: 1
      56: 1
      57: q+1
      58: 1
      59: q+1
      60: 1
      61: 1
      62: q+1
      63: q+1
      64: 1
      65: 1
      67: 1
      72: 1
      73: 1
      75: 1
      82: q+1
      83: 1
      84: 1
      85: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: q+1
     107: q+1
     108: 1
     109: 1
     111: 1
     116: 1
     117: 1
     119: 1
     134: q+1
     135: 1
     144: 1
     145: 1
     154: 1
     155: 1
     156: 1
     157: 1
     170: 1
     171: 1
     173: 1
     178: 1
     179: 1
     181: 1
     214: 1
     215: 1
     216: 1
     226: 1
     227: 1
     228: 1
     252: 1
     253: 1
     255: 1
     296: 1
     317: 1
     318: 1
     319: 1
     408: 1

409:   0: q+1
       1: 1
       2: q+1
       3: q+1
       4: q+1
       5: 1
       6: 1
       7: 1
       8: q+1
       9: 1
      10: 1
      11: 1
      12: q+1
      13: 1
      15: 1
      16: 1
      17: 1
      18: 1
      19: 1
      20: 1
      21: 1
      23: q+1
      24: q+1
      25: 1
      26: 1
      27: q+1
      28: 1
      29: 1
      30: q+1
      35: q+1
      36: 1
      37: q+1
      38: 1
      39: 1
      40: 1
      41: 1
      45: 1
      46: 1
      47: q+1
      56: 1
      57: 1
      58: 1
      60: 1
      61: 1
      62: 1
      64: q+1
      65: 1
      66: q+1
      67: 1
      72: q+1
      73: 1
      74: q+1
      75: 1
      83: 1
      84: 1
      85: 1
      86: q+1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: 1
     116: q+1
     117: 1
     118: q+1
     119: 1
     135: 1
     145: 1
     146: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: q+1
     170: 1
     171: 1
     172: 1
     178: 1
     179: 1
     180: 1
     216: 1
     217: 1
     218: 1
     226: 1
     228: 1
     229: 1
     252: 1
     253: 1
     254: 1
     297: 1
     319: 1
     320: 1
     321: 1
     409: 1

410:   0: q+2
       1: q^2+2
       2: q+2
       3: q^2+2q+1
       4: q+2
       5: q^2+2
       6: q+1
       7: q^2+2
       8: q+2
       9: q+1
      10: q^2+2
      11: q+1
      12: q+1
      13: q+1
      15: q^2+2
      16: q+1
      17: q^2+2
      18: q+1
      19: 2
      20: q+1
      21: 2
      23: q+2
      24: q+2
      25: q+1
      26: q+1
      27: q+1
      28: 1
      29: 1
      30: 1
      31: 2
      32: 2
      33: 2
      34: 2
      35: q+2
      36: q^2+2
      37: q+2
      38: q^2+2
      39: q+1
      40: 1
      41: 1
      42: 2
      43: 2
      44: 2
      45: q^2+2
      46: 2
      47: q+2
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 2
      57: q+1
      58: 2
      60: 2
      61: 2
      62: q+1
      64: q+1
      65: 1
      66: 1
      67: 1
      68: 1
      69: 1
      70: 1
      71: 1
      72: q+1
      73: 1
      74: 1
      75: 1
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: 1
      83: 1
      84: 1
      85: 1
      87: 1
      96: 2
      97: 2
      98: 1
      99: 1
     100: 2
     101: 2
     102: 1
     103: 1
     104: 2
     105: 2
     106: q+1
     108: 1
     109: 1
     110: 1
     112: 1
     113: 1
     114: 1
     115: 1
     116: q+1
     117: 1
     118: 1
     119: 1
     120: 1
     121: 1
     122: 1
     123: 1
     130: 1
     131: 1
     132: 1
     133: 1
     135: 1
     145: 1
     147: 1
     148: 2
     149: 1
     150: 1
     152: 1
     153: 1
     154: 2
     155: 1
     156: 1
     157: 1
     159: 1
     160: 1
     161: 1
     170: 1
     171: 1
     172: 1
     178: 1
     179: 1
     180: 1
     182: 1
     183: 1
     184: 1
     185: 1
     200: 1
     201: 1
     216: 1
     219: 1
     220: 1
     221: 1
     226: 1
     228: 1
     230: 1
     231: 1
     240: 1
     242: 1
     243: 1
     252: 1
     253: 1
     254: 1
     298: 1
     319: 1
     322: 1
     323: 1
     333: 1
     410: 1

411:   0: q^2+2q+2
       1: q^2+q+2
       2: 2q+2
       3: q^2+2q+2
       4: q^2+2q+2
       6: q^2+q+2
       7: q^2+q+2
       8: 2q+2
      11: q^2+q+1
      12: 2q+2
      19: q+2
      20: q+2
      21: q+2
      23: q+2
      24: q+2
      25: q+1
      27: q^2+2q+2
      28: q^2+q+2
      30: 2q+2
      31: 2
      32: 2
      33: 2
      35: q^2+2q+2
      36: q^2+q+2
      37: 2q+2
      41: q+2
      43: 2
      44: 2
      46: q+2
      47: q+2
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      60: 2
      61: 2
      62: q+1
      64: q+2
      65: q+1
      66: q+2
      68: 2
      69: 2
      70: 2
      72: q^2+2q+2
      73: q^2+q+2
      74: 2q+2
      78: 1
      79: 1
      80: 1
      81: 1
      83: 1
      86: q+2
      87: 2
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 1
      97: 2
      99: 2
     101: 2
     103: q+2
     108: 2
     109: q+1
     110: 2
     112: 1
     113: 1
     114: 1
     116: q+2
     117: q+1
     118: q+2
     120: 2
     121: 2
     122: 2
     124: 1
     125: 1
     128: 1
     129: 1
     132: 1
     133: 1
     145: 1
     146: 2
     147: 2
     149: 1
     153: 1
     155: 1
     158: q+2
     159: 2
     161: 2
     162: 1
     163: 1
     164: 1
     165: 1
     166: 1
     167: 1
     178: 2
     179: q+1
     180: 2
     182: 1
     183: 1
     184: 1
     192: 1
     193: 1
     198: 1
     199: 1
     204: 1
     205: 1
     218: 1
     220: 1
     228: 1
     229: 2
     230: 2
     231: 1
     242: 1
     244: 1
     245: 1
     246: 1
     278: 1
     279: 1
     299: 1
     321: 1
     323: 1
     324: 1
     411: 1

412:   0: q+2
       1: q+2
       2: q^2+3q+2
       3: q+2
       4: q+2
       6: q+2
       7: q+2
       8: q^2+3q+2
      12: q^2+3q+2
      19: q+2
      20: q+2
      21: q+2
      23: 2
      24: 2
      27: q+2
      28: q+2
      30: q^2+3q+2
      31: 2
      32: 2
      33: 2q+2
      35: q+2
      36: q+2
      37: q^2+3q+2
      41: q+2
      43: 2
      44: 2
      46: q+2
      47: 2
      48: 1
      49: 1
      50: 1
      51: 1
      52: q+1
      53: q+1
      60: 2
      61: 2
      64: 2
      66: 2
      68: 2
      69: 2
      70: 2q+2
      72: q+2
      73: q+2
      74: q^2+3q+2
      78: 1
      79: 1
      80: 1
      81: 1
      86: 2
      87: 2
      88: 1
      89: 1
      90: 1
      91: 1
      92: q+1
      93: q+1
      97: 2
      99: 2
     101: 2
     103: q+2
     108: 2
     110: 2
     112: 1
     114: 1
     116: 2
     118: 2
     120: 2
     121: 2
     122: 2q+2
     124: 1
     125: 1
     128: 1
     129: 1
     132: 1
     133: 1
     146: 2
     147: 2
     153: 1
     158: 2
     159: 2
     161: 2
     162: 1
     163: 1
     164: 1
     165: 1
     166: q+1
     167: q+1
     174: 1
     176: 1
     178: 2
     180: 2
     182: 1
     184: 1
     192: 1
     193: 1
     198: 1
     199: 1
     204: 1
     205: 1
     225: 1
     229: 2
     230: 2
     242: 1
     244: 1
     246: 1
     256: 1
     258: 1
     278: 1
     279: 1
     324: 1
     337: 1
     338: 1
     340: 1
     412: 1

413:   0: 1
       1: 1
       2: q^2+q+1
       3: q+1
       4: 1
       5: 1
       6: q+1
       7: 1
       8: q^2+q+1
       9: q+1
      10: 1
      15: 1
      16: q+1
      17: 1
      19: 1
      20: q+1
      21: 1
      23: 1
      24: 1
      27: 1
      28: 1
      29: 1
      31: 1
      32: 1
      33: q^2+q+1
      34: 1
      35: 1
      36: 1
      37: q^2+q+1
      38: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      48: 1
      50: 1
      52: q^2+q+1
      54: 1
      56: 1
      57: q+1
      58: 1
      60: 1
      61: 1
      64: 1
      68: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: 1
      76: 1
      78: 1
      80: 1
      84: 1
      88: 1
      90: 1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     108: 1
     112: 1
     116: 1
     120: 1
     121: 1
     123: 1
     126: 1
     128: 1
     130: 1
     132: 1
     136: 1
     148: 1
     152: 1
     154: 1
     157: 1
     160: 1
     161: 1
     162: 1
     164: 1
     168: 1
     170: 1
     174: 1
     178: 1
     182: 1
     194: 1
     200: 1
     202: 1
     204: 1
     206: 1
     232: 1
     243: 1
     248: 1
     252: 1
     256: 1
     286: 1
     288: 1
     325: 1
     342: 1
     413: 1

414:   0: 1
       1: 1
       2: q^2+q+1
       3: q+1
       4: 1
       5: 1
       6: q+1
       7: 1
       8: q^2+q+1
       9: q+1
      10: 1
      15: 1
      16: q+1
      17: 1
      19: 1
      20: q+1
      21: 1
      23: 1
      24: 1
      27: 1
      28: 1
      29: 1
      31: 1
      32: 1
      33: q^2+q+1
      34: 1
      35: 1
      36: 1
      37: q^2+q+1
      38: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      49: 1
      51: 1
      53: q^2+q+1
      55: 1
      56: 1
      57: q+1
      58: 1
      60: 1
      61: 1
      64: 1
      68: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: 1
      77: 1
      79: 1
      81: 1
      84: 1
      89: 1
      91: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     108: 1
     112: 1
     116: 1
     120: 1
     121: 1
     123: 1
     127: 1
     129: 1
     131: 1
     133: 1
     137: 1
     148: 1
     152: 1
     154: 1
     157: 1
     160: 1
     161: 1
     163: 1
     165: 1
     169: 1
     170: 1
     174: 1
     178: 1
     182: 1
     195: 1
     201: 1
     203: 1
     205: 1
     207: 1
     233: 1
     243: 1
     248: 1
     252: 1
     256: 1
     287: 1
     289: 1
     326: 1
     342: 1
     414: 1

415:   0: q^2+2q+1
       1: q+1
       3: q+1
       4: q^2+2q+1
       5: q+1
       6: 1
       7: q+1
       9: 1
      10: q+1
      11: q+1
      13: q+1
      15: q+1
      16: 1
      17: q+1
      18: q+1
      19: q+1
      20: 1
      21: q+1
      25: 1
      26: 1
      27: q+1
      28: 1
      29: 1
      31: q^2+2q+1
      32: q+1
      34: q+1
      35: q^2+2q+1
      36: q+1
      38: q+1
      39: 1
      40: 1
      41: 1
      42: q+1
      43: q+1
      45: q+1
      46: q+1
      48: q^2+2q+1
      50: q+1
      54: q+1
      56: q+1
      57: 1
      58: q+1
      62: 1
      65: 1
      67: 1
      68: q+1
      69: 1
      71: 1
      72: q+1
      73: 1
      75: 1
      76: q+1
      78: q+1
      84: 1
      85: 1
      88: q+1
      90: 1
      94: 1
      96: q+1
      98: 1
      99: 1
     100: q+1
     102: 1
     103: 1
     106: 1
     109: 1
     113: 1
     115: 1
     117: 1
     119: 1
     120: q+1
     121: 1
     123: 1
     126: 1
     128: 1
     130: q+1
     138: 1
     142: 1
     150: 1
     152: 1
     156: 1
     157: 1
     160: 1
     161: 1
     162: q+1
     164: 1
     168: 1
     171: 1
     175: 1
     179: 1
     183: 1
     185: 1
     188: 1
     194: 1
     202: 1
     204: 1
     208: 1
     234: 1
     238: 1
     240: 1
     243: 1
     249: 1
     253: 1
     257: 1
     282: 1
     286: 1
     290: 1
     327: 1
     343: 1
     415: 1

416:   0: q^2+2q+1
       1: q+1
       3: q+1
       4: q^2+2q+1
       5: q+1
       6: 1
       7: q+1
       9: 1
      10: q+1
      11: q+1
      13: q+1
      15: q+1
      16: 1
      17: q+1
      18: q+1
      19: q+1
      20: 1
      21: q+1
      25: 1
      26: 1
      27: q+1
      28: 1
      29: 1
      31: q^2+2q+1
      32: q+1
      34: q+1
      35: q^2+2q+1
      36: q+1
      38: q+1
      39: 1
      40: 1
      41: 1
      42: q+1
      43: q+1
      45: q+1
      46: q+1
      49: q^2+2q+1
      51: q+1
      55: q+1
      56: q+1
      57: 1
      58: q+1
      62: 1
      65: 1
      67: 1
      68: q+1
      69: 1
      71: 1
      72: q+1
      73: 1
      75: 1
      77: q+1
      79: q+1
      84: 1
      85: 1
      89: q+1
      91: 1
      95: 1
      96: q+1
      98: 1
      99: 1
     100: q+1
     102: 1
     103: 1
     106: 1
     109: 1
     113: 1
     115: 1
     117: 1
     119: 1
     120: q+1
     121: 1
     123: 1
     127: 1
     129: 1
     131: q+1
     139: 1
     143: 1
     150: 1
     152: 1
     156: 1
     157: 1
     160: 1
     161: 1
     163: q+1
     165: 1
     169: 1
     171: 1
     175: 1
     179: 1
     183: 1
     185: 1
     189: 1
     195: 1
     203: 1
     205: 1
     209: 1
     235: 1
     239: 1
     240: 1
     243: 1
     249: 1
     253: 1
     257: 1
     283: 1
     287: 1
     291: 1
     328: 1
     343: 1
     416: 1

417:   0: 1
       1: 1
       2: 1
       4: 1
       5: 1
       7: 1
       8: 1
      10: 1
      12: q^3+q^2+q+1
      15: 1
      17: 1
      19: 1
      21: 1
      23: 1
      24: 1
      30: 1
      31: 1
      32: 1
      33: 1
      34: 1
      35: 1
      36: 1
      37: 1
      38: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      48: 1
      50: 1
      52: 1
      54: 1
      56: 1
      58: 1
      60: 1
      61: 1
      66: 1
      70: 1
      74: 1
      76: 1
      78: 1
      80: 1
      92: 1
      96: 1
      97: 1
     100: 1
     101: 1
     104: 1
     105: 1
     110: 1
     114: 1
     118: 1
     122: 1
     130: 1
     132: 1
     140: 1
     148: 1
     154: 1
     166: 1
     172: 1
     176: 1
     180: 1
     184: 1
     200: 1
     210: 1
     236: 1
     250: 1
     254: 1
     258: 1
     292: 1
     329: 1
     344: 1
     417: 1

418:   0: 1
       1: 1
       2: 1
       4: 1
       5: 1
       7: 1
       8: 1
      10: 1
      12: q^3+q^2+q+1
      15: 1
      17: 1
      19: 1
      21: 1
      23: 1
      24: 1
      30: 1
      31: 1
      32: 1
      33: 1
      34: 1
      35: 1
      36: 1
      37: 1
      38: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      49: 1
      51: 1
      53: 1
      55: 1
      56: 1
      58: 1
      60: 1
      61: 1
      66: 1
      70: 1
      74: 1
      77: 1
      79: 1
      81: 1
      93: 1
      96: 1
      97: 1
     100: 1
     101: 1
     104: 1
     105: 1
     110: 1
     114: 1
     118: 1
     122: 1
     131: 1
     133: 1
     141: 1
     148: 1
     154: 1
     167: 1
     172: 1
     176: 1
     180: 1
     184: 1
     201: 1
     211: 1
     237: 1
     250: 1
     254: 1
     258: 1
     293: 1
     330: 1
     344: 1
     418: 1

419:   1: q+1
       5: q+1
       6: 1
       7: q+1
       9: 1
      10: q+1
      11: 1
      13: 1
      14: q+1
      15: q+1
      16: 1
      17: q+1
      18: 1
      22: 1
      25: 1
      26: 1
      28: 1
      29: 1
      32: q+1
      34: q+1
      36: q+1
      38: q+1
      39: 1
      40: 1
      42: q+1
      45: q+1
      50: q+1
      54: q+1
      59: 1
      63: 1
      65: 1
      67: 1
      69: 1
      71: 1
      73: 1
      75: 1
      76: q+1
      85: 1
      90: 1
      94: 1
      98: 1
     102: 1
     107: 1
     111: 1
     113: 1
     115: 1
     117: 1
     119: 1
     121: 1
     123: 1
     126: 1
     138: 1
     142: 1
     150: 1
     156: 1
     160: 1
     164: 1
     168: 1
     173: 1
     177: 1
     181: 1
     183: 1
     185: 1
     188: 1
     202: 1
     212: 1
     234: 1
     238: 1
     240: 1
     251: 1
     255: 1
     259: 1
     282: 1
     294: 1
     331: 1
     345: 1
     419: 1

420:   1: q+1
       5: q+1
       6: 1
       7: q+1
       9: 1
      10: q+1
      11: 1
      13: 1
      14: q+1
      15: q+1
      16: 1
      17: q+1
      18: 1
      22: 1
      25: 1
      26: 1
      28: 1
      29: 1
      32: q+1
      34: q+1
      36: q+1
      38: q+1
      39: 1
      40: 1
      42: q+1
      45: q+1
      51: q+1
      55: q+1
      59: 1
      63: 1
      65: 1
      67: 1
      69: 1
      71: 1
      73: 1
      75: 1
      77: q+1
      85: 1
      91: 1
      95: 1
      98: 1
     102: 1
     107: 1
     111: 1
     113: 1
     115: 1
     117: 1
     119: 1
     121: 1
     123: 1
     127: 1
     139: 1
     143: 1
     150: 1
     156: 1
     160: 1
     165: 1
     169: 1
     173: 1
     177: 1
     181: 1
     183: 1
     185: 1
     189: 1
     203: 1
     213: 1
     235: 1
     239: 1
     240: 1
     251: 1
     255: 1
     259: 1
     283: 1
     295: 1
     332: 1
     345: 1
     420: 1

421:   0: 2
       1: 2
       2: 2
       3: q^2+2q+1
       4: 2
       5: 2q^2+2
       6: q^2+2q+1
       7: 2
       8: 2
       9: q+1
      10: 2q^2+2
      11: q^2+2q+1
      13: q+1
      14: q+1
      15: 2
      16: q+1
      17: 2
      18: q+1
      19: 2
      20: q^2+2q+1
      21: 2
      22: q+1
      23: 2
      24: 2
      25: q^2+2q+1
      26: q+1
      27: 1
      28: 1
      29: 1
      31: 2
      32: 2
      33: 2
      34: 2q^2+2
      35: 2
      36: 2
      37: 2
      38: 2q^2+2
      39: q+1
      40: 1
      41: 1
      42: 2
      43: 2
      44: 2
      45: 2
      46: 2
      47: 2
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: q^2+1
      55: q^2+1
      56: 2
      57: q+1
      58: 2
      59: q+1
      60: 2
      61: 2
      62: q^2+2q+1
      63: q+1
      64: 1
      65: 1
      67: 1
      68: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: 1
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: 1
      82: q+1
      83: 1
      84: 1
      85: 1
      96: 2
      97: 2
      98: 1
      99: 1
     100: 2
     101: 2
     102: 1
     103: 1
     104: 2
     105: 2
     106: q+1
     107: q+1
     108: 1
     109: 1
     111: 1
     112: 1
     113: 1
     115: 1
     116: 1
     117: 1
     119: 1
     120: 1
     121: 1
     123: 1
     130: 1
     131: 1
     132: 1
     133: 1
     134: q+1
     135: 1
     144: 1
     145: 1
     148: 2
     149: 1
     150: 1
     152: 1
     154: 2
     155: 1
     156: 1
     157: 1
     160: 1
     161: 1
     174: 1
     175: 1
     177: 1
     178: 1
     179: 1
     181: 1
     182: 1
     183: 1
     185: 1
     200: 1
     201: 1
     214: 1
     221: 1
     222: 1
     223: 1
     226: 1
     227: 1
     228: 1
     231: 1
     240: 1
     243: 1
     256: 1
     257: 1
     259: 1
     309: 1
     317: 1
     333: 1
     334: 1
     335: 1
     421: 1

422:   0: 2
       1: 2
       3: q+1
       4: 2
       5: 2
       6: q+1
       7: 2
       9: q+1
      10: 2
      11: q^2+2q+1
      13: q^2+2q+1
      14: q^2+2q+1
      15: 2
      16: q+1
      17: 2
      18: q^2+2q+1
      19: 2
      20: q+1
      21: 2
      22: q^2+2q+1
      25: q+1
      26: q+1
      27: 1
      28: 1
      29: 1
      31: 2
      32: 2
      34: 2
      35: 2
      36: 2
      38: 2
      39: q+1
      40: 1
      41: 1
      42: 2
      43: 2
      45: 2
      46: 2
      48: 1
      49: 1
      50: 1
      51: 1
      54: 1
      55: 1
      56: 2
      57: q+1
      58: 2
      59: q^2+2q+1
      62: q+1
      63: q+1
      65: 1
      67: 1
      68: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: 1
      76: 1
      77: 1
      78: 1
      79: 1
      82: q+1
      84: 1
      85: 1
      96: 2
      98: 1
      99: 1
     100: 2
     102: 1
     103: 1
     106: q+1
     107: q+1
     109: 1
     111: 1
     113: 1
     115: 1
     117: 1
     119: 1
     120: 1
     121: 1
     123: 1
     130: 1
     131: 1
     134: q+1
     144: 1
     150: 1
     152: 1
     156: 1
     157: 1
     160: 1
     161: 1
     171: 1
     173: 1
     175: 1
     177: 1
     179: 1
     181: 1
     183: 1
     185: 1
     215: 1
     222: 1
     227: 1
     240: 1
     243: 1
     249: 1
     251: 1
     253: 1
     255: 1
     257: 1
     259: 1
     310: 1
     318: 1
     334: 1
     343: 1
     345: 1
     422: 1

423:   0: 2q+2
       1: 2
       2: 2q+2
       3: 2q^2+3q+1
       4: 2q+2
       5: 2
       6: 2q+1
       7: 2
       8: 2q+2
       9: 2q+1
      10: 2
      11: 2q+1
      13: 2q+1
      15: 2
      16: 2q+1
      17: 2
      18: 2q+1
      19: 2
      20: 2q+1
      21: 2
      23: 2q+2
      24: 2q+2
      25: 2q+1
      26: 2q+1
      27: q+1
      28: 1
      29: 1
      31: 2q+2
      32: 2
      33: 2q+2
      34: 2
      35: 2q+2
      36: 2
      37: 2q+2
      38: 2
      39: 2q+1
      40: 1
      41: 1
      42: 2
      43: 2
      44: 2q+2
      45: 2
      46: 2
      47: 2q+2
      48: q+1
      49: q+1
      50: 1
      51: 1
      52: q+1
      53: q+1
      54: 1
      55: 1
      56: 2
      57: 2q+1
      58: 2
      60: 2
      61: 2
      62: 2q+1
      64: q+1
      65: 1
      67: 1
      68: q+1
      69: 1
      71: 1
      72: q+1
      73: 1
      75: 1
      76: 1
      77: 1
      78: 1
      79: 1
      80: q+1
      81: q+1
      83: 1
      84: 1
      85: 1
      96: 2
      97: 2
      98: 1
      99: 1
     100: 2
     101: 2
     102: 1
     103: 1
     104: 2
     105: 2
     106: 2q+1
     108: 1
     109: 1
     112: q+1
     113: 1
     115: 1
     116: q+1
     117: 1
     119: 1
     120: q+1
     121: 1
     123: 1
     130: 1
     131: 1
     132: 1
     133: 1
     135: 1
     145: 1
     148: 2
     149: 1
     150: 1
     152: 1
     154: 2
     155: 1
     156: 1
     157: 1
     160: 1
     161: 1
     170: 1
     171: 1
     174: 1
     175: 1
     178: 1
     179: 1
     182: q+1
     183: 1
     185: 1
     200: 1
     201: 1
     216: 1
     221: 1
     223: 1
     226: 1
     228: 1
     231: 1
     240: 1
     243: 1
     248: 1
     249: 1
     252: 1
     253: 1
     256: 1
     257: 1
     311: 1
     319: 1
     333: 1
     335: 1
     342: 1
     343: 1
     423: 1

424:   0: 2
       1: 2
       2: 2q+2
       3: q+1
       4: 2
       5: 2
       6: q+1
       7: 2
       8: 2q+2
       9: q+1
      10: 2
      12: q^2+2q+1
      15: 2
      16: q+1
      17: 2
      19: 2
      20: q+1
      21: 2
      23: 2
      24: 2
      27: 1
      28: 1
      29: 1
      30: q+1
      31: 2
      32: 2
      33: 2q+2
      34: 2
      35: 2
      36: 2
      37: 2q+2
      38: 2
      40: 1
      41: 1
      42: 2
      43: 2
      44: 2
      45: 2
      46: 2
      47: 2
      48: 1
      49: 1
      50: 1
      51: 1
      52: q+1
      53: q+1
      54: 1
      55: 1
      56: 2
      57: q+1
      58: 2
      60: 2
      61: 2
      64: 1
      66: 1
      68: 1
      69: 1
      70: q+1
      71: 1
      72: 1
      73: 1
      74: q+1
      75: 1
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: 1
      84: 1
      86: 1
      96: 2
      97: 2
      98: 1
      99: 1
     100: 2
     101: 2
     102: 1
     103: 1
     104: 2
     105: 2
     108: 1
     110: 1
     112: 1
     114: 1
     116: 1
     118: 1
     120: 1
     121: 1
     122: q+1
     123: 1
     130: 1
     131: 1
     132: 1
     133: 1
     146: 1
     148: 2
     151: 1
     152: 1
     154: 2
     157: 1
     158: 1
     160: 1
     161: 1
     170: 1
     172: 1
     174: 1
     176: 1
     178: 1
     180: 1
     182: 1
     184: 1
     200: 1
     201: 1
     217: 1
     224: 1
     229: 1
     241: 1
     243: 1
     248: 1
     250: 1
     252: 1
     254: 1
     256: 1
     258: 1
     312: 1
     320: 1
     336: 1
     342: 1
     344: 1
     424: 1

425:   0: 2
       1: 2
       2: 2
       3: q+1
       4: 2
       6: q+1
       7: 2
       8: 2
      11: q+1
      12: q+1
      19: 2
      20: q+1
      21: 2
      23: 2
      24: 2
      25: q+1
      27: 1
      28: 1
      30: 1
      31: 2
      32: 2
      33: 2
      35: 2
      36: 2
      37: 2
      41: 1
      43: 2
      44: 2
      46: 2
      47: 2
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      60: 2
      61: 2
      62: q+1
      64: 1
      65: 1
      66: 1
      68: 1
      69: 1
      70: 1
      72: 1
      73: 1
      74: 1
      78: 1
      79: 1
      80: 1
      81: 1
      83: 1
      86: 1
      97: 2
      99: 1
     101: 2
     103: 1
     108: 1
     109: 1
     110: 1
     112: 1
     113: 1
     114: 1
     116: 1
     117: 1
     118: 1
     120: 1
     121: 1
     122: 1
     132: 1
     133: 1
     145: 1
     146: 1
     149: 1
     151: 1
     155: 1
     158: 1
     161: 1
     174: 1
     175: 1
     176: 1
     178: 1
     179: 1
     180: 1
     182: 1
     183: 1
     184: 1
     218: 1
     223: 1
     224: 1
     228: 1
     229: 1
     231: 1
     241: 1
     256: 1
     257: 1
     258: 1
     313: 1
     321: 1
     335: 1
     336: 1
     425: 1

426:   0: 2
       1: 2
       2: 2q+2
       3: q+1
       4: 2
       5: 2
       6: q+1
       7: 2
       8: 2q+2
       9: q+1
      10: 2
      12: q^2+2q+1
      15: 2
      16: q+1
      17: 2
      19: 2
      20: q+1
      21: 2
      23: 2
      24: 2
      27: 1
      28: 1
      29: 1
      30: q+1
      31: 2
      32: 2
      33: 2q+2
      34: 2
      35: 2
      36: 2
      37: 2q+2
      38: 2
      40: 1
      41: 1
      42: 2
      43: 2
      44: 2
      45: 2
      46: 2
      47: 2
      48: 1
      49: 1
      50: 1
      51: 1
      52: q+1
      53: q+1
      54: 1
      55: 1
      56: 2
      57: q+1
      58: 2
      60: 2
      61: 2
      64: 1
      66: 1
      68: 1
      69: 1
      70: q+1
      71: 1
      72: 1
      73: 1
      74: q+1
      75: 1
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: 1
      84: 1
      87: 1
      96: 2
      97: 2
      98: 1
      99: 1
     100: 2
     101: 2
     102: 1
     103: 1
     104: 2
     105: 2
     108: 1
     110: 1
     112: 1
     114: 1
     116: 1
     118: 1
     120: 1
     121: 1
     122: q+1
     123: 1
     130: 1
     131: 1
     132: 1
     133: 1
     147: 1
     148: 2
     152: 1
     153: 1
     154: 2
     157: 1
     159: 1
     160: 1
     161: 1
     170: 1
     172: 1
     174: 1
     176: 1
     178: 1
     180: 1
     182: 1
     184: 1
     200: 1
     201: 1
     219: 1
     225: 1
     230: 1
     242: 1
     243: 1
     248: 1
     250: 1
     252: 1
     254: 1
     256: 1
     258: 1
     314: 1
     322: 1
     337: 1
     342: 1
     344: 1
     426: 1

427:   0: 2
       1: 2
       2: 2
       3: q+1
       4: 2
       6: q+1
       7: 2
       8: 2
      11: q+1
      12: q+1
      19: 2
      20: q+1
      21: 2
      23: 2
      24: 2
      25: q+1
      27: 1
      28: 1
      30: 1
      31: 2
      32: 2
      33: 2
      35: 2
      36: 2
      37: 2
      41: 1
      43: 2
      44: 2
      46: 2
      47: 2
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      60: 2
      61: 2
      62: q+1
      64: 1
      65: 1
      66: 1
      68: 1
      69: 1
      70: 1
      72: 1
      73: 1
      74: 1
      78: 1
      79: 1
      80: 1
      81: 1
      83: 1
      87: 1
      97: 2
      99: 1
     101: 2
     103: 1
     108: 1
     109: 1
     110: 1
     112: 1
     113: 1
     114: 1
     116: 1
     117: 1
     118: 1
     120: 1
     121: 1
     122: 1
     132: 1
     133: 1
     145: 1
     147: 1
     149: 1
     153: 1
     155: 1
     159: 1
     161: 1
     174: 1
     175: 1
     176: 1
     178: 1
     179: 1
     180: 1
     182: 1
     183: 1
     184: 1
     220: 1
     223: 1
     225: 1
     228: 1
     230: 1
     231: 1
     242: 1
     256: 1
     257: 1
     258: 1
     315: 1
     323: 1
     335: 1
     337: 1
     427: 1

428:   0: 3q^2+8q+2
       1: 3q^2+5q+2
       2: 3q^2+8q+2
       3: 3q^2+5q+2
       4: 6q+2
       6: 3q+2
       7: 2q^2+4q+2
       8: 6q+2
      11: 3q+2
      12: 2q^2+4q+2
      19: q^2+5q+2
      20: 3q+2
      21: 4q+2
      23: 3q^2+8q+2
      24: 6q+2
      25: 3q+2
      27: q^2+5q+2
      28: 3q+2
      30: 4q+2
      31: 5q+2
      32: q^2+3q+2
      33: 5q+2
      35: 5q+2
      36: q^2+3q+2
      37: 5q+2
      41: 3q+2
      43: 3q+2
      44: 5q+2
      46: 3q+2
      47: 5q+2
      48: 2q+1
      49: 2q+1
      50: q+1
      51: q+1
      52: 2q+1
      53: 2q+1
      60: q^2+5q+2
      61: 4q+2
      62: 3q+2
      64: q^2+5q+2
      65: 3q+2
      66: 4q+2
      68: 2q+2
      69: q+2
      70: 3q+2
      72: 2q+2
      73: q+2
      74: 3q+2
      78: q+1
      79: q+1
      80: 2q+1
      81: 2q+1
      83: 3q+2
      86: q+2
      87: q+2
      88: 1
      89: 1
      90: 1
      91: 1
      92: q+1
      93: q+1
      97: 3q+2
      99: q+2
     101: 3q+2
     103: q+2
     108: q+2
     109: q+2
     110: 2q+2
     112: 2q+2
     113: q+2
     114: 3q+2
     116: 2q+2
     117: q+2
     118: 3q+2
     120: q+2
     121: 2
     124: 1
     125: 1
     128: 1
     129: 1
     132: q+1
     133: q+1
     136: 1
     137: 1
     138: 1
     139: 1
     140: q+1
     141: q+1
     145: q+2
     146: 2
     147: 2
     149: q+2
     153: q+2
     155: q+2
     158: q+2
     161: 2
     162: 1
     163: 1
     164: 1
     165: 1
     174: 1
     175: 1
     176: q+1
     178: 1
     179: 1
     180: q+1
     182: q+2
     183: 2
     186: 1
     187: 1
     190: 1
     191: 1
     192: 1
     193: 1
     204: 1
     205: 1
     218: 2
     220: 2
     223: 1
     225: 1
     228: 1
     229: 1
     231: 2
     232: 1
     233: 1
     234: 1
     235: 1
     244: 2
     256: 1
     257: 1
     268: 1
     269: 1
     280: 1
     281: 1
     301: 1
     302: 1
     315: 1
     321: 1
     335: 1
     338: 1
     428: 1

429:   0: 2
       1: 2q+2
       2: 2
       3: 2q+2
       4: 2
       6: q^2+2q+2
       7: 2q+2
       8: 2
      11: q^2+2q+2
      19: 2
      20: q+2
      21: 2
      23: 2
      24: 2
      25: q^2+2q+2
      27: 2
      28: q+2
      31: 2
      32: 2q+2
      33: 2
      35: 2
      36: 2q+2
      37: 2
      41: 2
      43: 2
      44: 2
      46: 2
      47: 2
      48: 1
      49: 1
      50: q+1
      51: q+1
      52: 1
      53: 1
      60: 2
      61: 2
      62: q+2
      64: 2
      65: q+2
      68: 2
      69: q+2
      72: 2
      73: q+2
      78: 1
      79: 1
      80: 1
      81: 1
      83: 2
      88: 1
      89: 1
      90: 1
      91: 1
      97: 2
      99: 2
     101: 2
     103: 2
     108: 1
     109: 1
     112: 2
     113: q+2
     116: 2
     117: q+2
     120: 2
     121: q+2
     128: 1
     129: 1
     132: 1
     133: 1
     136: 1
     137: 1
     138: 1
     139: 1
     145: 1
     149: 2
     155: 2
     161: 2
     162: 1
     163: 1
     164: 1
     165: 1
     174: 1
     175: 1
     178: 1
     179: 1
     182: 2
     183: q+2
     186: 1
     187: 1
     204: 1
     205: 1
     223: 1
     228: 1
     231: 2
     232: 1
     233: 1
     234: 1
     235: 1
     245: 2
     256: 1
     257: 1
     280: 1
     281: 1
     303: 1
     304: 1
     335: 1
     339: 1
     429: 1

430:   0: 2q+2
       1: 2
       2: 2q+2
       3: 2q+2
       4: q^2+4q+2
       6: 2
       7: q^2+2q+2
       8: q^2+4q+2
      11: 2
      12: q^2+4q+2
      19: 2
      20: 2
      21: 2q+2
      23: 2q+2
      24: q^2+4q+2
      25: 2
      27: 2q+2
      28: 2
      30: q^2+4q+2
      31: q+2
      32: 2
      33: q+2
      35: q+2
      36: 2
      37: q+2
      41: 2
      43: 2
      44: q+2
      46: 2
      47: q+2
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      60: 2
      61: 2q+2
      62: 2
      64: 2q+2
      65: 2
      66: q^2+4q+2
      68: q+2
      69: 2
      70: q+2
      72: q+2
      73: 2
      74: q+2
      78: 1
      79: 1
      80: 1
      81: 1
      83: 2
      86: q+2
      87: q+2
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 1
      97: 2
      99: 2
     101: 2
     103: 2
     108: 2
     109: 2
     110: 2q+2
     112: q+2
     113: 2
     114: q+2
     116: q+2
     117: 2
     118: q+2
     122: 2
     124: 1
     125: 1
     128: 1
     129: 1
     132: 1
     133: 1
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     145: 2
     146: 2
     147: 2
     149: 2
     153: q+2
     155: 2
     158: q+2
     166: 1
     167: 1
     174: 1
     175: 1
     176: 1
     178: 1
     179: 1
     180: 1
     184: 2
     186: 1
     187: 1
     190: 1
     191: 1
     192: 1
     193: 1
     218: 2
     220: 2
     223: 1
     225: 1
     228: 1
     229: 1
     236: 1
     237: 1
     246: 2
     258: 1
     268: 1
     269: 1
     305: 1
     306: 1
     315: 1
     321: 1
     340: 1
     430: 1

431:   5: 2
       9: 2
      10: 2
      13: 2
      14: q^3+1
      22: 1
      26: 2
      29: 2
      34: 2
      38: 2
      54: 1
      55: 1
      63: 1
      67: 2
      71: 2
      75: 2
      94: 1
      95: 1
     111: 1
     115: 2
     119: 2
     123: 2
     142: 1
     143: 1
     168: 1
     169: 1
     177: 1
     181: 1
     185: 2
     238: 1
     239: 1
     247: 2
     259: 1
     307: 1
     308: 1
     341: 1
     431: 1

432:   0: 3q+2
       1: 3q+2
       2: 2q^2+4q+2
       3: 3q+2
       4: 2q+2
       5: 3q+2
       6: 3q+2
       7: 2q+2
       8: 2q+2
       9: 3q+2
      10: 2q+2
      12: 2q+2
      15: 3q+2
      16: 3q+2
      17: 2q+2
      19: 3q+2
      20: 3q+2
      21: 2q+2
      23: q+2
      24: 2
      27: 3q+2
      28: 3q+2
      29: 3q+2
      30: 2q+2
      31: q+2
      32: q+2
      33: 2q+2
      34: q+2
      35: q+2
      36: q+2
      37: 2q+2
      38: q+2
      40: 3q+2
      41: 3q+2
      42: q+2
      43: q+2
      44: 2
      45: q+2
      46: q+2
      47: 2
      48: 1
      49: 1
      50: 1
      51: 1
      52: q+1
      53: q+1
      54: 1
      55: 1
      56: 3q+2
      57: 3q+2
      58: 2q+2
      60: q+2
      61: 2
      64: q+2
      66: 2
      68: q+2
      69: q+2
      70: 2q+2
      71: q+2
      72: q+2
      73: q+2
      74: 2q+2
      75: q+2
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: 1
      84: 3q+2
      86: 2
      87: 2
      88: 1
      89: 1
      90: 1
      91: 1
      92: q+1
      93: q+1
      94: 1
      95: 1
      96: q+2
      97: 2
      98: q+2
      99: q+2
     100: q+2
     101: 2
     102: q+2
     103: q+2
     104: q+2
     105: 2
     108: q+2
     110: 2
     112: 1
     114: 1
     116: 1
     118: 1
     120: 2
     121: 2
     123: 2
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 1
     146: 2
     147: 2
     148: 2
     152: q+2
     153: 1
     154: 2
     157: q+2
     158: 1
     160: 2
     161: 2
     162: 1
     163: 1
     164: 1
     165: 1
     168: 1
     169: 1
     170: q+2
     172: 2
     174: 1
     176: 1
     178: 1
     180: 1
     182: 1
     192: 1
     193: 1
     194: 1
     195: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     217: 2
     219: 2
     225: 1
     229: 1
     243: 2
     244: 1
     248: 1
     250: 1
     252: 1
     254: 1
     256: 1
     270: 1
     271: 1
     286: 1
     287: 1
     314: 1
     320: 1
     338: 1
     342: 1
     432: 1

433:   0: 2q+2
       1: 2
       3: 2q+2
       4: 2q+2
       5: 2
       6: 2
       7: 2
       9: 2
      10: 2
      11: q^2+q+1
      13: q^2+q+1
      15: 2
      16: 2
      17: 2
      18: q^2+q+1
      19: 2
      20: 2
      21: 2
      25: 1
      26: 1
      27: 2q+2
      28: 2
      29: 2
      31: 2q+2
      32: 2
      34: 2
      35: 2q+2
      36: 2
      38: 2
      39: 1
      40: 2
      41: 2
      42: 2
      43: 2
      45: 2
      46: 2
      48: q+1
      49: q+1
      50: 1
      51: 1
      54: 1
      55: 1
      56: 2
      57: 2
      58: 2
      62: 1
      65: 1
      67: 1
      68: 2q+2
      69: 2
      71: 2
      72: 2q+2
      73: 2
      75: 2
      76: 1
      77: 1
      78: 1
      79: 1
      84: 2
      85: 1
      88: q+1
      89: q+1
      90: 1
      91: 1
      94: 1
      95: 1
      96: 2
      98: 2
      99: 2
     100: 2
     102: 2
     103: 2
     106: 1
     109: 1
     113: 1
     115: 1
     117: 1
     119: 1
     120: 2q+2
     121: 2
     123: 2
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     150: 1
     152: 2
     156: 1
     157: 2
     160: 2
     161: 2
     162: q+1
     163: q+1
     164: 1
     165: 1
     168: 1
     169: 1
     171: 1
     175: 1
     179: 1
     183: 1
     185: 1
     194: 1
     195: 1
     202: 1
     203: 1
     204: 1
     205: 1
     240: 1
     243: 2
     245: 1
     247: 1
     249: 1
     253: 1
     257: 1
     286: 1
     287: 1
     300: 1
     339: 1
     343: 1
     433: 1

434:   0: 2
       1: 2
       2: 2q+2
       3: 2
       4: 2q+2
       5: 2
       6: 2
       7: 2q+2
       8: q^2+3q+2
       9: 2
      10: 2q+2
      12: q^2+3q+2
      15: 2
      16: 2
      17: 2q+2
      19: 2
      20: 2
      21: 2q+2
      23: 2
      24: q+2
      27: 2
      28: 2
      29: 2
      30: q^2+3q+2
      31: 2
      32: 2
      33: q+2
      34: 2
      35: 2
      36: 2
      37: q+2
      38: 2
      40: 2
      41: 2
      42: 2
      43: 2
      44: 2
      45: 2
      46: 2
      47: 2
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 2
      57: 2
      58: 2q+2
      60: 2
      61: q+2
      64: 2
      66: q+2
      68: 2
      69: 2
      70: q+2
      71: 2
      72: 2
      73: 2
      74: q+2
      75: 2
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: 1
      84: 2
      86: 2
      87: 2
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 2
      97: 2
      98: 2
      99: 2
     100: 2
     101: 2
     102: 2
     103: 2
     104: 2
     105: q+2
     108: 2
     110: q+2
     112: 1
     114: 1
     116: 1
     118: 1
     122: 2
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 1
     146: 2
     147: 2
     148: 2
     152: 2
     153: 1
     154: 2
     157: 2
     158: 1
     166: 1
     167: 1
     170: 2
     172: q+2
     174: 1
     176: 1
     178: 1
     180: 1
     184: 1
     192: 1
     193: 1
     194: 1
     195: 1
     200: 1
     201: 1
     217: 2
     219: 2
     225: 1
     229: 1
     246: 1
     248: 1
     250: 1
     252: 1
     254: 1
     258: 1
     270: 1
     271: 1
     314: 1
     320: 1
     340: 1
     344: 1
     434: 1

435:   1: 2
       5: 2
       6: 2
       7: 2
       9: 2
      10: 2
      11: q^2+1
      13: q^2+1
      14: q^3+q^2+q+1
      15: 2
      16: 2
      17: 2
      18: q^2+1
      22: q^2+1
      25: 1
      26: 1
      28: 2
      29: 2
      32: 2
      34: 2
      36: 2
      38: 2
      39: 1
      40: 2
      42: 2
      45: 2
      50: 1
      51: 1
      54: 1
      55: 1
      59: q^2+1
      63: 1
      65: 1
      67: 1
      69: 2
      71: 2
      73: 2
      75: 2
      76: 1
      77: 1
      85: 1
      90: 1
      91: 1
      94: 1
      95: 1
      98: 2
     102: 2
     107: 1
     111: 1
     113: 1
     115: 1
     117: 1
     119: 1
     121: 2
     123: 2
     126: 1
     127: 1
     150: 1
     156: 1
     160: 2
     164: 1
     165: 1
     168: 1
     169: 1
     173: 1
     177: 1
     181: 1
     183: 1
     185: 1
     202: 1
     203: 1
     240: 1
     245: 1
     247: 1
     251: 1
     255: 1
     259: 1
     300: 1
     341: 1
     345: 1
     435: 1

436:   0: 1
       2: 1
       3: 1
       4: 1
       8: 1
      12: 1
      23: 1
      24: 1
      27: 1
      30: 1
      31: 1
      33: 1
      35: 1
      37: 1
      44: 1
      47: 1
      48: 1
      52: 1
      64: 1
      66: 1
      68: 1
      70: 1
      72: 1
      74: 1
      80: 1
      86: 1
      87: 1
      88: 1
      92: 1
     112: 1
     114: 1
     116: 1
     118: 1
     120: 1
     122: 1
     124: 1
     136: 1
     140: 1
     151: 1
     153: 1
     158: 1
     159: 1
     162: 1
     166: 1
     182: 1
     184: 1
     190: 1
     196: 1
     198: 1
     232: 1
     236: 1
     241: 1
     242: 1
     244: 1
     246: 1
     272: 1
     276: 1
     284: 1
     301: 1
     305: 1
     316: 1
     324: 1
     368: 1
     376: 1
     386: 1
     388: 1
     436: 1

437:   0: 3q
       2: 3q
       3: q^2+2q
       4: 3q
       8: 3q
      12: q^2+2q
      23: 3q
      24: 3q
      27: 2q
      30: 2q
      31: 3q
      33: 3q
      35: 3q
      37: 3q
      44: 3q
      47: 3q
      48: q
      49: 2q
      52: q
      53: 2q
      64: 2q
      66: 2q
      68: 2q
      70: 2q
      72: 2q
      74: 2q
      80: q
      81: 2q
      86: q
      87: q
      89: q
      93: q
     112: 2q
     114: 2q
     116: 2q
     118: 2q
     120: 2q
     122: 2q
     137: q
     141: q
     151: q
     153: q
     158: q
     159: q
     163: q
     167: q
     182: 2q
     184: 2q
     233: q
     237: q
     241: q
     242: q
     244: 1
     246: 1
     302: 1
     306: 1
     316: 1
     324: 1
     369: 1
     377: 1
     388: 1
     437: 1

438:   0: q^3+q
       2: q
       3: q^3+q
       4: q
       8: q^3+q
      12: q^3+q
      23: q
      24: q
      27: q^3+q
      30: q^3+q
      31: q
      33: q
      35: q
      37: q
      44: q
      47: q
      48: q
      52: q
      64: q
      66: q
      68: q
      70: q
      72: q
      74: q
      80: q
      86: q
      87: q
      88: q
      92: q
     112: q
     114: q
     116: q
     118: q
     120: q
     122: q
     124: q
     136: q
     140: q
     151: q
     153: q
     158: q
     159: q
     162: q
     166: q
     190: q
     196: q
     198: q
     386: 1
     438: 1

439:   0: 3q
       2: 3q
       3: q^2+2q
       4: 3q
       8: 3q
      12: q^2+2q
      23: 3q
      24: 3q
      27: 2q
      30: 2q
      31: 3q
      33: 3q
      35: 3q
      37: 3q
      44: 3q
      47: 3q
      48: 2q
      49: q
      52: 2q
      53: q
      64: 2q
      66: 2q
      68: 2q
      70: 2q
      72: 2q
      74: 2q
      80: 2q
      81: q
      86: q
      87: q
      88: q
      92: q
     112: 2q
     114: 2q
     116: 2q
     118: 2q
     120: 2q
     122: 2q
     136: q
     140: q
     151: q
     153: q
     158: q
     159: q
     162: q
     166: q
     182: 2q
     184: 2q
     232: q
     236: q
     241: q
     242: q
     244: 1
     246: 1
     301: 1
     305: 1
     316: 1
     324: 1
     368: 1
     376: 1
     389: 1
     439: 1

440:   0: 1
       2: 1
       3: 1
       4: 1
       8: 1
      12: 1
      23: 1
      24: 1
      27: 1
      30: 1
      31: 1
      33: 1
      35: 1
      37: 1
      44: 1
      47: 1
      49: 1
      53: 1
      64: 1
      66: 1
      68: 1
      70: 1
      72: 1
      74: 1
      81: 1
      86: 1
      87: 1
      89: 1
      93: 1
     112: 1
     114: 1
     116: 1
     118: 1
     120: 1
     122: 1
     125: 1
     137: 1
     141: 1
     151: 1
     153: 1
     158: 1
     159: 1
     163: 1
     167: 1
     182: 1
     184: 1
     191: 1
     197: 1
     199: 1
     233: 1
     237: 1
     241: 1
     242: 1
     244: 1
     246: 1
     273: 1
     277: 1
     285: 1
     302: 1
     306: 1
     316: 1
     324: 1
     369: 1
     377: 1
     387: 1
     389: 1
     440: 1

441:   0: q^3+q
       2: q
       3: q^3+q
       4: q
       8: q^3+q
      12: q^3+q
      23: q
      24: q
      27: q^3+q
      30: q^3+q
      31: q
      33: q
      35: q
      37: q
      44: q
      47: q
      49: q
      53: q
      64: q
      66: q
      68: q
      70: q
      72: q
      74: q
      81: q
      86: q
      87: q
      89: q
      93: q
     112: q
     114: q
     116: q
     118: q
     120: q
     122: q
     125: q
     137: q
     141: q
     151: q
     153: q
     158: q
     159: q
     163: q
     167: q
     191: q
     197: q
     199: q
     387: 1
     441: 1

442:   0: 1
       1: 1
       2: 1
       3: q+1
       4: q+1
       5: 1
       6: q+1
       7: q+1
       8: q+1
       9: q+1
      10: q+1
      11: q+1
      13: q+1
      14: q+1
      15: 1
      16: q+1
      17: q+1
      18: q+1
      19: 1
      20: q+1
      21: q+1
      22: q+1
      23: 1
      24: q+1
      25: q+1
      26: q+1
      27: 1
      28: 1
      29: 1
      31: 1
      32: 1
      33: 1
      34: 1
      35: 1
      36: 1
      37: 1
      38: 1
      39: q+1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      48: 1
      50: 1
      52: 1
      54: 1
      56: 1
      57: q+1
      58: q+1
      59: q+1
      60: 1
      61: q+1
      62: q+1
      63: q+1
      64: 1
      65: 1
      67: 1
      68: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: 1
      76: 1
      78: 1
      80: 1
      82: q+1
      83: 1
      84: 1
      85: 1
      88: 1
      90: 1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: q+1
     106: q+1
     107: q+1
     108: 1
     109: 1
     111: 1
     112: 1
     113: 1
     115: 1
     116: 1
     117: 1
     119: 1
     126: 1
     128: 1
     130: 1
     132: 1
     134: q+1
     135: 1
     136: 1
     138: 1
     142: 1
     144: 1
     145: 1
     148: 1
     149: 1
     150: 1
     152: 1
     154: 1
     155: 1
     156: 1
     157: 1
     170: 1
     171: 1
     173: 1
     174: 1
     175: 1
     177: 1
     178: 1
     179: 1
     181: 1
     186: 1
     188: 1
     194: 1
     200: 1
     206: 1
     208: 1
     212: 1
     214: 1
     215: 1
     216: 1
     221: 1
     222: 1
     223: 1
     226: 1
     227: 1
     228: 1
     248: 1
     249: 1
     251: 1
     252: 1
     253: 1
     255: 1
     260: 1
     262: 1
     264: 1
     288: 1
     290: 1
     294: 1
     296: 1
     309: 1
     310: 1
     311: 1
     317: 1
     318: 1
     319: 1
     346: 1
     348: 1
     350: 1
     403: 1
     408: 1
     442: 1

443:   0: 1
       1: 1
       2: 1
       3: q+1
       4: q+1
       5: 1
       6: q+1
       7: q+1
       8: q+1
       9: q+1
      10: q+1
      11: q+1
      13: q+1
      14: q+1
      15: 1
      16: q+1
      17: q+1
      18: q+1
      19: 1
      20: q+1
      21: q+1
      22: q+1
      23: 1
      24: q+1
      25: q+1
      26: q+1
      27: 1
      28: 1
      29: 1
      31: 1
      32: 1
      33: 1
      34: 1
      35: 1
      36: 1
      37: 1
      38: 1
      39: q+1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      49: 1
      51: 1
      53: 1
      55: 1
      56: 1
      57: q+1
      58: q+1
      59: q+1
      60: 1
      61: q+1
      62: q+1
      63: q+1
      64: 1
      65: 1
      67: 1
      68: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: 1
      77: 1
      79: 1
      81: 1
      82: q+1
      83: 1
      84: 1
      85: 1
      89: 1
      91: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: q+1
     106: q+1
     107: q+1
     108: 1
     109: 1
     111: 1
     112: 1
     113: 1
     115: 1
     116: 1
     117: 1
     119: 1
     127: 1
     129: 1
     131: 1
     133: 1
     134: q+1
     135: 1
     137: 1
     139: 1
     143: 1
     144: 1
     145: 1
     148: 1
     149: 1
     150: 1
     152: 1
     154: 1
     155: 1
     156: 1
     157: 1
     170: 1
     171: 1
     173: 1
     174: 1
     175: 1
     177: 1
     178: 1
     179: 1
     181: 1
     187: 1
     189: 1
     195: 1
     201: 1
     207: 1
     209: 1
     213: 1
     214: 1
     215: 1
     216: 1
     221: 1
     222: 1
     223: 1
     226: 1
     227: 1
     228: 1
     248: 1
     249: 1
     251: 1
     252: 1
     253: 1
     255: 1
     261: 1
     263: 1
     265: 1
     289: 1
     291: 1
     295: 1
     296: 1
     309: 1
     310: 1
     311: 1
     317: 1
     318: 1
     319: 1
     347: 1
     349: 1
     351: 1
     403: 1
     408: 1
     443: 1

444:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       5: 1
       6: q+1
       7: q+1
       8: q+1
       9: 1
      10: q^3+q+1
      11: q+1
      12: q+1
      13: 1
      14: 1
      15: 1
      16: 1
      17: q+1
      18: 1
      19: q+1
      20: q+1
      21: q+1
      22: 1
      23: q+1
      24: q+1
      25: q+1
      26: 1
      27: q+1
      28: q+1
      29: 1
      30: q+1
      31: 1
      32: 1
      33: 1
      34: 1
      35: 1
      36: 1
      37: 1
      38: 1
      39: 1
      40: 1
      41: q+1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      48: 1
      50: 1
      52: 1
      54: 1
      56: 1
      57: 1
      58: q+1
      59: 1
      60: q+1
      61: q+1
      62: q+1
      63: 1
      64: q+1
      65: q+1
      66: q+1
      67: 1
      68: 1
      69: 1
      70: 1
      71: 1
      72: 1
      73: 1
      74: 1
      75: 1
      76: 1
      78: 1
      80: 1
      82: 1
      83: q+1
      84: 1
      85: 1
      86: 1
      87: 1
      88: 1
      90: 1
      92: 1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: q+1
     106: 1
     107: 1
     108: q+1
     109: q+1
     110: q+1
     111: 1
     112: 1
     113: 1
     114: 1
     115: 1
     116: 1
     117: 1
     118: 1
     119: 1
     124: 1
     126: 1
     128: 1
     130: 1
     132: 1
     134: 1
     135: 1
     136: 1
     138: 1
     140: 1
     142: 1
     144: 1
     145: q+1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     152: 1
     153: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     170: 1
     171: 1
     172: q+1
     173: 1
     174: 1
     175: 1
     176: 1
     177: 1
     178: 1
     179: 1
     180: 1
     181: 1
     186: 1
     188: 1
     190: 1
     192: 1
     194: 1
     200: 1
     206: 1
     208: 1
     210: 1
     212: 1
     214: 1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     223: 1
     225: 1
     226: 1
     227: 1
     228: 1
     229: 1
     260: 1
     262: 1
     264: 1
     266: 1
     268: 1
     270: 1
     296: 1
     297: 1
     298: 1
     309: 1
     315: 1
     317: 1
     321: 1
     350: 1
     354: 1
     356: 1
     390: 1
     391: 1
     444: 1

445:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       5: 1
       6: q+1
       7: q+1
       8: q+1
       9: 1
      10: q^3+q+1
      11: q+1
      12: q+1
      13: 1
      14: 1
      15: 1
      16: 1
      17: q+1
      18: 1
      19: q+1
      20: q+1
      21: q+1
      22: 1
      23: q+1
      24: q+1
      25: q+1
      26: 1
      27: q+1
      28: q+1
      29: 1
      30: q+1
      31: 1
      32: 1
      33: 1
      34: 1
      35: 1
      36: 1
      37: 1
      38: 1
      39: 1
      40: 1
      41: q+1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      49: 1
      51: 1
      53: 1
      55: 1
      56: 1
      57: 1
      58: q+1
      59: 1
      60: q+1
      61: q+1
      62: q+1
      63: 1
      64: q+1
      65: q+1
      66: q+1
      67: 1
      68: 1
      69: 1
      70: 1
      71: 1
      72: 1
      73: 1
      74: 1
      75: 1
      77: 1
      79: 1
      81: 1
      82: 1
      83: q+1
      84: 1
      85: 1
      86: 1
      87: 1
      89: 1
      91: 1
      93: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: q+1
     106: 1
     107: 1
     108: q+1
     109: q+1
     110: q+1
     111: 1
     112: 1
     113: 1
     114: 1
     115: 1
     116: 1
     117: 1
     118: 1
     119: 1
     125: 1
     127: 1
     129: 1
     131: 1
     133: 1
     134: 1
     135: 1
     137: 1
     139: 1
     141: 1
     143: 1
     144: 1
     145: q+1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     152: 1
     153: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     170: 1
     171: 1
     172: q+1
     173: 1
     174: 1
     175: 1
     176: 1
     177: 1
     178: 1
     179: 1
     180: 1
     181: 1
     187: 1
     189: 1
     191: 1
     193: 1
     195: 1
     201: 1
     207: 1
     209: 1
     211: 1
     213: 1
     214: 1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     223: 1
     225: 1
     226: 1
     227: 1
     228: 1
     229: 1
     261: 1
     263: 1
     265: 1
     267: 1
     269: 1
     271: 1
     296: 1
     297: 1
     298: 1
     309: 1
     315: 1
     317: 1
     321: 1
     351: 1
     355: 1
     357: 1
     390: 1
     391: 1
     445: 1

446:   0: q^2+2q+1
       1: q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: q+1
       6: q+1
       7: q+1
       8: q^2+2q+1
       9: q+1
      10: q+1
      11: q+1
      12: q^2+2q+1
      13: q+1
      15: q+1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      20: q+1
      21: q+1
      23: q^2+2q+1
      24: q^2+2q+1
      25: q+1
      26: q+1
      27: q^2+2q+1
      28: q+1
      29: q+1
      30: q^2+2q+1
      31: q+1
      32: 1
      33: q+1
      34: 1
      35: q+1
      36: 1
      37: q+1
      38: 1
      39: q+1
      40: q+1
      41: q+1
      42: 1
      43: 1
      44: q+1
      45: 1
      46: 1
      47: q+1
      48: q+1
      50: 1
      52: q+1
      54: 1
      56: q+1
      57: q+1
      58: q+1
      60: q+1
      61: q+1
      62: q+1
      64: q^2+2q+1
      65: q+1
      66: q^2+2q+1
      67: q+1
      68: q+1
      69: 1
      70: q+1
      71: 1
      72: q+1
      73: 1
      74: q+1
      75: 1
      76: 1
      78: 1
      80: q+1
      83: q+1
      84: q+1
      85: q+1
      86: q+1
      87: q+1
      88: q+1
      90: 1
      92: q+1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: q+1
     105: q+1
     106: q+1
     108: q+1
     109: q+1
     110: q+1
     112: q+1
     113: 1
     114: q+1
     115: 1
     116: q+1
     117: 1
     118: q+1
     119: 1
     124: q+1
     126: 1
     128: 1
     130: 1
     132: 1
     135: q+1
     136: q+1
     138: 1
     140: q+1
     142: 1
     145: q+1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     152: 1
     153: q+1
     154: 1
     155: 1
     156: 1
     157: 1
     158: q+1
     170: q+1
     171: q+1
     172: q+1
     174: 1
     175: 1
     176: 1
     178: 1
     179: 1
     180: 1
     186: 1
     188: 1
     190: q+1
     192: 1
     194: 1
     200: 1
     206: 1
     208: 1
     210: 1
     216: q+1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     223: 1
     225: 1
     226: 1
     228: 1
     229: 1
     248: 1
     249: 1
     250: 1
     252: 1
     253: 1
     254: 1
     262: 1
     264: 1
     266: 1
     268: 1
     270: 1
     288: 1
     290: 1
     292: 1
     297: 1
     298: 1
     311: 1
     314: 1
     315: 1
     319: 1
     320: 1
     321: 1
     348: 1
     352: 1
     354: 1
     356: 1
     405: 1
     409: 1
     446: 1

447:   0: q^2+2q+1
       1: q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: q+1
       6: q+1
       7: q+1
       8: q^2+2q+1
       9: q+1
      10: q+1
      11: q+1
      12: q^2+2q+1
      13: q+1
      15: q+1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      20: q+1
      21: q+1
      23: q^2+2q+1
      24: q^2+2q+1
      25: q+1
      26: q+1
      27: q^2+2q+1
      28: q+1
      29: q+1
      30: q^2+2q+1
      31: q+1
      32: 1
      33: q+1
      34: 1
      35: q+1
      36: 1
      37: q+1
      38: 1
      39: q+1
      40: q+1
      41: q+1
      42: 1
      43: 1
      44: q+1
      45: 1
      46: 1
      47: q+1
      49: q+1
      51: 1
      53: q+1
      55: 1
      56: q+1
      57: q+1
      58: q+1
      60: q+1
      61: q+1
      62: q+1
      64: q^2+2q+1
      65: q+1
      66: q^2+2q+1
      67: q+1
      68: q+1
      69: 1
      70: q+1
      71: 1
      72: q+1
      73: 1
      74: q+1
      75: 1
      77: 1
      79: 1
      81: q+1
      83: q+1
      84: q+1
      85: q+1
      86: q+1
      87: q+1
      89: q+1
      91: 1
      93: q+1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: q+1
     105: q+1
     106: q+1
     108: q+1
     109: q+1
     110: q+1
     112: q+1
     113: 1
     114: q+1
     115: 1
     116: q+1
     117: 1
     118: q+1
     119: 1
     125: q+1
     127: 1
     129: 1
     131: 1
     133: 1
     135: q+1
     137: q+1
     139: 1
     141: q+1
     143: 1
     145: q+1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     152: 1
     153: q+1
     154: 1
     155: 1
     156: 1
     157: 1
     158: q+1
     170: q+1
     171: q+1
     172: q+1
     174: 1
     175: 1
     176: 1
     178: 1
     179: 1
     180: 1
     187: 1
     189: 1
     191: q+1
     193: 1
     195: 1
     201: 1
     207: 1
     209: 1
     211: 1
     216: q+1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     223: 1
     225: 1
     226: 1
     228: 1
     229: 1
     248: 1
     249: 1
     250: 1
     252: 1
     253: 1
     254: 1
     263: 1
     265: 1
     267: 1
     269: 1
     271: 1
     289: 1
     291: 1
     293: 1
     297: 1
     298: 1
     311: 1
     314: 1
     315: 1
     319: 1
     320: 1
     321: 1
     349: 1
     353: 1
     355: 1
     357: 1
     405: 1
     409: 1
     447: 1

448:   0: 3q+1
       1: 3q+1
       2: q^2+2q+1
       3: 3q+1
       4: q^2+2q+1
       6: 3q+1
       7: q^2+2q+1
       8: q+1
      11: q^2+2q+1
      12: q+1
      19: 3q+1
      20: 3q+1
      21: q^2+2q+1
      23: 2q+1
      24: q+1
      25: 2q+1
      27: 3q+1
      28: 3q+1
      30: q+1
      31: 2q+1
      32: 2q+1
      33: q+1
      35: 2q+1
      36: 2q+1
      37: q+1
      41: 3q+1
      43: 2q+1
      44: q+1
      46: 2q+1
      47: q+1
      48: 2q+1
      50: 2q+1
      52: q+1
      60: 2q+1
      61: q+1
      62: 2q+1
      64: 2q+1
      65: 2q+1
      66: q+1
      68: 2q+1
      69: 2q+1
      70: q+1
      72: 2q+1
      73: 2q+1
      74: q+1
      78: 2q+1
      80: q+1
      83: q+1
      86: q+1
      87: q+1
      88: 2q+1
      90: 2q+1
      92: q+1
      97: q+1
      99: 2q+1
     101: q+1
     103: 2q+1
     108: 2q+1
     109: 2q+1
     110: q+1
     112: 1
     113: q+1
     114: 1
     116: 1
     117: q+1
     118: 1
     120: q+1
     121: q+1
     124: q+1
     128: 2q+1
     132: q+1
     136: 1
     138: q+1
     140: 1
     145: q+1
     146: q+1
     147: q+1
     149: 1
     153: 1
     155: 1
     158: 1
     161: q+1
     162: q+1
     164: q+1
     174: 1
     175: q+1
     176: 1
     178: 1
     179: q+1
     180: 1
     182: 1
     183: 1
     186: 1
     190: 1
     192: q+1
     204: q+1
     206: 1
     208: q+1
     210: 1
     218: 1
     220: 1
     223: 1
     225: 1
     228: 1
     229: 1
     231: 1
     232: 1
     234: 1
     244: 1
     245: 1
     256: 1
     257: 1
     262: 1
     266: 1
     268: 1
     280: 1
     299: 1
     301: 1
     303: 1
     315: 1
     321: 1
     325: 1
     327: 1
     335: 1
     338: 1
     339: 1
     354: 1
     358: 1
     380: 1
     394: 1
     396: 1
     402: 1
     448: 1

449:   0: 3q+1
       1: 3q+1
       2: q^2+2q+1
       3: 3q+1
       4: q^2+2q+1
       6: 3q+1
       7: q^2+2q+1
       8: q+1
      11: q^2+2q+1
      12: q+1
      19: 3q+1
      20: 3q+1
      21: q^2+2q+1
      23: 2q+1
      24: q+1
      25: 2q+1
      27: 3q+1
      28: 3q+1
      30: q+1
      31: 2q+1
      32: 2q+1
      33: q+1
      35: 2q+1
      36: 2q+1
      37: q+1
      41: 3q+1
      43: 2q+1
      44: q+1
      46: 2q+1
      47: q+1
      49: 2q+1
      51: 2q+1
      53: q+1
      60: 2q+1
      61: q+1
      62: 2q+1
      64: 2q+1
      65: 2q+1
      66: q+1
      68: 2q+1
      69: 2q+1
      70: q+1
      72: 2q+1
      73: 2q+1
      74: q+1
      79: 2q+1
      81: q+1
      83: q+1
      86: q+1
      87: q+1
      89: 2q+1
      91: 2q+1
      93: q+1
      97: q+1
      99: 2q+1
     101: q+1
     103: 2q+1
     108: 2q+1
     109: 2q+1
     110: q+1
     112: 1
     113: q+1
     114: 1
     116: 1
     117: q+1
     118: 1
     120: q+1
     121: q+1
     125: q+1
     129: 2q+1
     133: q+1
     137: 1
     139: q+1
     141: 1
     145: q+1
     146: q+1
     147: q+1
     149: 1
     153: 1
     155: 1
     158: 1
     161: q+1
     163: q+1
     165: q+1
     174: 1
     175: q+1
     176: 1
     178: 1
     179: q+1
     180: 1
     182: 1
     183: 1
     187: 1
     191: 1
     193: q+1
     205: q+1
     207: 1
     209: q+1
     211: 1
     218: 1
     220: 1
     223: 1
     225: 1
     228: 1
     229: 1
     231: 1
     233: 1
     235: 1
     244: 1
     245: 1
     256: 1
     257: 1
     263: 1
     267: 1
     269: 1
     281: 1
     299: 1
     302: 1
     304: 1
     315: 1
     321: 1
     326: 1
     328: 1
     335: 1
     338: 1
     339: 1
     355: 1
     359: 1
     381: 1
     395: 1
     397: 1
     402: 1
     449: 1

450:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: 1
       5: q+1
       6: q+1
       7: q^2+q+1
       8: 1
       9: q+1
      10: q^2+q+1
      11: q+1
      12: 1
      13: q+1
      15: q+1
      16: q+1
      17: q^2+q+1
      18: q+1
      19: 1
      20: 1
      21: 1
      23: q+1
      24: 1
      25: q+1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      30: 1
      31: 1
      32: q+1
      33: 1
      34: q+1
      35: 1
      36: q+1
      37: 1
      38: q+1
      39: q+1
      40: q+1
      41: 1
      42: q+1
      43: 1
      44: 1
      45: q+1
      46: 1
      47: 1
      48: 1
      50: q+1
      52: 1
      54: q+1
      56: 1
      57: 1
      58: 1
      60: 1
      61: 1
      62: 1
      64: q+1
      65: q+1
      66: 1
      67: q+1
      68: 1
      69: q+1
      70: 1
      71: q+1
      72: 1
      73: q+1
      74: 1
      75: q+1
      76: q+1
      78: 1
      80: 1
      83: 1
      84: 1
      85: q+1
      86: 1
      87: 1
      88: 1
      90: q+1
      92: 1
      94: q+1
      96: 1
      97: 1
      98: q+1
      99: 1
     100: 1
     101: 1
     102: q+1
     103: 1
     104: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: 1
     112: 1
     113: q+1
     114: 1
     115: q+1
     116: 1
     117: q+1
     118: 1
     119: q+1
     120: 1
     121: 1
     123: 1
     124: 1
     126: q+1
     128: 1
     130: 1
     132: 1
     135: 1
     136: 1
     138: q+1
     140: 1
     142: q+1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: q+1
     152: 1
     153: 1
     154: 1
     155: 1
     156: q+1
     157: 1
     158: 1
     160: 1
     161: 1
     162: 1
     164: 1
     168: 1
     170: 1
     171: 1
     172: 1
     182: 1
     183: 1
     185: 1
     186: 1
     188: q+1
     190: 1
     192: 1
     194: 1
     200: 1
     202: 1
     204: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     226: 1
     231: 1
     232: 1
     234: 1
     238: 1
     240: 1
     243: 1
     244: 1
     245: 1
     247: 1
     264: 1
     268: 1
     270: 1
     280: 1
     282: 1
     286: 1
     297: 1
     298: 1
     299: 1
     300: 1
     301: 1
     303: 1
     307: 1
     333: 1
     356: 1
     358: 1
     360: 1
     382: 1
     392: 1
     450: 1

451:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: 1
       5: q+1
       6: q+1
       7: q^2+q+1
       8: 1
       9: q+1
      10: q^2+q+1
      11: q+1
      12: 1
      13: q+1
      15: q+1
      16: q+1
      17: q^2+q+1
      18: q+1
      19: 1
      20: 1
      21: 1
      23: q+1
      24: 1
      25: q+1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      30: 1
      31: 1
      32: q+1
      33: 1
      34: q+1
      35: 1
      36: q+1
      37: 1
      38: q+1
      39: q+1
      40: q+1
      41: 1
      42: q+1
      43: 1
      44: 1
      45: q+1
      46: 1
      47: 1
      49: 1
      51: q+1
      53: 1
      55: q+1
      56: 1
      57: 1
      58: 1
      60: 1
      61: 1
      62: 1
      64: q+1
      65: q+1
      66: 1
      67: q+1
      68: 1
      69: q+1
      70: 1
      71: q+1
      72: 1
      73: q+1
      74: 1
      75: q+1
      77: q+1
      79: 1
      81: 1
      83: 1
      84: 1
      85: q+1
      86: 1
      87: 1
      89: 1
      91: q+1
      93: 1
      95: q+1
      96: 1
      97: 1
      98: q+1
      99: 1
     100: 1
     101: 1
     102: q+1
     103: 1
     104: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: 1
     112: 1
     113: q+1
     114: 1
     115: q+1
     116: 1
     117: q+1
     118: 1
     119: q+1
     120: 1
     121: 1
     123: 1
     125: 1
     127: q+1
     129: 1
     131: 1
     133: 1
     135: 1
     137: 1
     139: q+1
     141: 1
     143: q+1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: q+1
     152: 1
     153: 1
     154: 1
     155: 1
     156: q+1
     157: 1
     158: 1
     160: 1
     161: 1
     163: 1
     165: 1
     169: 1
     170: 1
     171: 1
     172: 1
     182: 1
     183: 1
     185: 1
     187: 1
     189: q+1
     191: 1
     193: 1
     195: 1
     201: 1
     203: 1
     205: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     226: 1
     231: 1
     233: 1
     235: 1
     239: 1
     240: 1
     243: 1
     244: 1
     245: 1
     247: 1
     265: 1
     269: 1
     271: 1
     281: 1
     283: 1
     287: 1
     297: 1
     298: 1
     299: 1
     300: 1
     302: 1
     304: 1
     308: 1
     333: 1
     357: 1
     359: 1
     361: 1
     383: 1
     392: 1
     451: 1

452:   0: 1
       1: 1
       3: 1
       4: 1
       5: q+1
       6: 1
       7: 1
       9: q+1
      10: q+1
      11: q+1
      13: 1
      14: 1
      15: 1
      16: 1
      17: 1
      18: 1
      19: 1
      20: 1
      21: 1
      22: 1
      25: 1
      26: 1
      27: 1
      28: 1
      29: q+1
      31: 1
      32: 1
      34: q+1
      35: 1
      36: 1
      38: q+1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      45: 1
      46: 1
      48: 1
      50: 1
      54: q+1
      56: 1
      57: 1
      58: 1
      59: 1
      62: 1
      63: 1
      65: 1
      67: 1
      68: 1
      69: 1
      71: q+1
      72: 1
      73: 1
      75: q+1
      76: 1
      78: 1
      82: 1
      84: 1
      85: 1
      88: 1
      90: 1
      94: q+1
      96: 1
      98: 1
      99: 1
     100: 1
     102: 1
     103: 1
     109: 1
     111: 1
     113: 1
     115: 1
     117: 1
     119: 1
     120: 1
     121: 1
     123: q+1
     126: 1
     128: 1
     130: 1
     138: 1
     142: 1
     144: 1
     150: 1
     152: 1
     156: 1
     157: 1
     160: 1
     161: 1
     162: 1
     164: 1
     168: q+1
     175: 1
     177: 1
     179: 1
     181: 1
     183: 1
     185: 1
     188: 1
     194: 1
     202: 1
     204: 1
     208: 1
     212: 1
     222: 1
     227: 1
     234: 1
     238: 1
     240: 1
     243: 1
     245: 1
     247: 1
     257: 1
     259: 1
     260: 1
     282: 1
     286: 1
     300: 1
     303: 1
     307: 1
     327: 1
     331: 1
     334: 1
     339: 1
     341: 1
     360: 1
     378: 1
     393: 1
     396: 1
     400: 1
     452: 1

453:   0: 1
       1: 1
       3: 1
       4: 1
       5: q+1
       6: 1
       7: 1
       9: q+1
      10: q+1
      11: q+1
      13: 1
      14: 1
      15: 1
      16: 1
      17: 1
      18: 1
      19: 1
      20: 1
      21: 1
      22: 1
      25: 1
      26: 1
      27: 1
      28: 1
      29: q+1
      31: 1
      32: 1
      34: q+1
      35: 1
      36: 1
      38: q+1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      45: 1
      46: 1
      49: 1
      51: 1
      55: q+1
      56: 1
      57: 1
      58: 1
      59: 1
      62: 1
      63: 1
      65: 1
      67: 1
      68: 1
      69: 1
      71: q+1
      72: 1
      73: 1
      75: q+1
      77: 1
      79: 1
      82: 1
      84: 1
      85: 1
      89: 1
      91: 1
      95: q+1
      96: 1
      98: 1
      99: 1
     100: 1
     102: 1
     103: 1
     109: 1
     111: 1
     113: 1
     115: 1
     117: 1
     119: 1
     120: 1
     121: 1
     123: q+1
     127: 1
     129: 1
     131: 1
     139: 1
     143: 1
     144: 1
     150: 1
     152: 1
     156: 1
     157: 1
     160: 1
     161: 1
     163: 1
     165: 1
     169: q+1
     175: 1
     177: 1
     179: 1
     181: 1
     183: 1
     185: 1
     189: 1
     195: 1
     203: 1
     205: 1
     209: 1
     213: 1
     222: 1
     227: 1
     235: 1
     239: 1
     240: 1
     243: 1
     245: 1
     247: 1
     257: 1
     259: 1
     261: 1
     283: 1
     287: 1
     300: 1
     304: 1
     308: 1
     328: 1
     332: 1
     334: 1
     339: 1
     341: 1
     361: 1
     379: 1
     393: 1
     397: 1
     401: 1
     453: 1

454:   0: 2q+1
       1: 2q+1
       2: 2q+1
       3: q^2+q+1
       4: 2q+1
       6: q^2+q+1
       7: 2q+1
       8: 2q+1
      11: q^2+q+1
      12: q^2+q+1
      19: 2q+1
      20: q^2+q+1
      21: 2q+1
      23: 2q+1
      24: 2q+1
      25: q^2+q+1
      27: q+1
      28: q+1
      30: q+1
      31: 2q+1
      32: 2q+1
      33: 2q+1
      35: q+1
      36: q+1
      37: q+1
      41: q+1
      43: 2q+1
      44: 2q+1
      46: q+1
      47: q+1
      48: q+1
      50: q+1
      52: q+1
      60: 2q+1
      61: 2q+1
      62: q^2+q+1
      64: q+1
      65: q+1
      66: q+1
      68: q+1
      69: q+1
      70: q+1
      72: 1
      73: 1
      74: 1
      78: q+1
      80: q+1
      83: q+1
      86: 1
      87: 1
      88: 1
      90: 1
      92: 1
      97: 2q+1
      99: q+1
     101: q+1
     103: 1
     108: q+1
     109: q+1
     110: q+1
     112: q+1
     113: q+1
     114: q+1
     116: 1
     117: 1
     118: 1
     120: 1
     121: 1
     122: 1
     124: 1
     128: 1
     132: q+1
     136: 1
     138: 1
     140: 1
     145: q+1
     146: 1
     147: 1
     149: q+1
     151: 1
     153: 1
     155: 1
     158: 1
     161: 1
     162: 1
     164: 1
     166: 1
     174: q+1
     175: q+1
     176: q+1
     178: 1
     179: 1
     180: 1
     182: 1
     183: 1
     184: 1
     186: 1
     190: 1
     192: 1
     196: 1
     204: 1
     206: 1
     208: 1
     210: 1
     218: 1
     220: 1
     223: q+1
     224: 1
     225: 1
     228: 1
     229: 1
     231: 1
     232: 1
     234: 1
     236: 1
     241: 1
     256: 1
     257: 1
     258: 1
     262: 1
     266: 1
     268: 1
     272: 1
     274: 1
     280: 1
     313: 1
     315: 1
     321: 1
     325: 1
     327: 1
     329: 1
     335: 1
     336: 1
     354: 1
     362: 1
     364: 1
     380: 1
     425: 1
     454: 1

455:   0: 2q+1
       1: 2q+1
       2: 2q+1
       3: q^2+q+1
       4: 2q+1
       6: q^2+q+1
       7: 2q+1
       8: 2q+1
      11: q^2+q+1
      12: q^2+q+1
      19: 2q+1
      20: q^2+q+1
      21: 2q+1
      23: 2q+1
      24: 2q+1
      25: q^2+q+1
      27: q+1
      28: q+1
      30: q+1
      31: 2q+1
      32: 2q+1
      33: 2q+1
      35: q+1
      36: q+1
      37: q+1
      41: q+1
      43: 2q+1
      44: 2q+1
      46: q+1
      47: q+1
      49: q+1
      51: q+1
      53: q+1
      60: 2q+1
      61: 2q+1
      62: q^2+q+1
      64: q+1
      65: q+1
      66: q+1
      68: q+1
      69: q+1
      70: q+1
      72: 1
      73: 1
      74: 1
      79: q+1
      81: q+1
      83: q+1
      86: 1
      87: 1
      89: 1
      91: 1
      93: 1
      97: 2q+1
      99: q+1
     101: q+1
     103: 1
     108: q+1
     109: q+1
     110: q+1
     112: q+1
     113: q+1
     114: q+1
     116: 1
     117: 1
     118: 1
     120: 1
     121: 1
     122: 1
     125: 1
     129: 1
     133: q+1
     137: 1
     139: 1
     141: 1
     145: q+1
     146: 1
     147: 1
     149: q+1
     151: 1
     153: 1
     155: 1
     158: 1
     161: 1
     163: 1
     165: 1
     167: 1
     174: q+1
     175: q+1
     176: q+1
     178: 1
     179: 1
     180: 1
     182: 1
     183: 1
     184: 1
     187: 1
     191: 1
     193: 1
     197: 1
     205: 1
     207: 1
     209: 1
     211: 1
     218: 1
     220: 1
     223: q+1
     224: 1
     225: 1
     228: 1
     229: 1
     231: 1
     233: 1
     235: 1
     237: 1
     241: 1
     256: 1
     257: 1
     258: 1
     263: 1
     267: 1
     269: 1
     273: 1
     275: 1
     281: 1
     313: 1
     315: 1
     321: 1
     326: 1
     328: 1
     330: 1
     335: 1
     336: 1
     355: 1
     363: 1
     365: 1
     381: 1
     425: 1
     455: 1

456:   0: 3q+1
       1: q^2+2q+1
       2: 3q+1
       3: q^2+2q+1
       4: 3q+1
       5: q^2+2q+1
       6: q+1
       7: q^2+2q+1
       8: 3q+1
       9: q+1
      10: q^2+2q+1
      11: q+1
      12: q^2+2q+1
      13: q+1
      15: q^2+2q+1
      16: q+1
      17: q^2+2q+1
      18: q+1
      19: 2q+1
      20: q+1
      21: 2q+1
      23: 3q+1
      24: 3q+1
      25: q+1
      26: q+1
      27: 2q+1
      28: q+1
      29: q+1
      30: 2q+1
      31: 3q+1
      32: q^2+2q+1
      33: 3q+1
      34: q^2+2q+1
      35: q+1
      36: q+1
      37: q+1
      38: q+1
      39: q+1
      40: q+1
      41: q+1
      42: q^2+2q+1
      43: 2q+1
      44: 3q+1
      45: q+1
      46: q+1
      47: q+1
      48: q+1
      50: q+1
      52: q+1
      54: q+1
      56: 2q+1
      57: q+1
      58: 2q+1
      60: 2q+1
      61: 2q+1
      62: q+1
      64: 2q+1
      65: q+1
      66: 2q+1
      67: q+1
      68: 2q+1
      69: q+1
      70: 2q+1
      71: q+1
      72: 1
      73: 1
      74: 1
      75: 1
      76: q+1
      78: q+1
      80: q+1
      83: q+1
      84: q+1
      85: q+1
      86: 1
      87: q+1
      88: 1
      90: 1
      92: 1
      94: 1
      96: 2q+1
      97: 2q+1
      98: q+1
      99: q+1
     100: q+1
     101: q+1
     102: 1
     103: 1
     104: 2q+1
     105: 2q+1
     106: q+1
     108: 1
     109: 1
     110: q+1
     112: 2q+1
     113: q+1
     114: 2q+1
     115: q+1
     116: 1
     117: 1
     118: 1
     119: 1
     120: 1
     121: 1
     122: 1
     123: 1
     124: 1
     126: 1
     128: 1
     130: q+1
     132: q+1
     135: q+1
     136: 1
     138: 1
     140: 1
     142: 1
     145: 1
     146: 1
     147: 1
     148: 2q+1
     149: q+1
     150: q+1
     151: 1
     152: q+1
     153: q+1
     154: q+1
     155: 1
     156: 1
     157: 1
     158: 1
     160: 1
     161: 1
     162: 1
     164: 1
     166: 1
     168: 1
     170: 1
     171: 1
     172: q+1
     174: 1
     175: 1
     176: q+1
     182: 1
     183: 1
     184: 1
     185: 1
     186: 1
     188: 1
     190: 1
     192: 1
     194: 1
     196: 1
     200: q+1
     202: 1
     204: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: q+1
     223: 1
     224: 1
     225: 1
     226: 1
     231: 1
     232: 1
     234: 1
     236: 1
     238: 1
     240: 1
     241: 1
     243: 1
     248: 1
     249: 1
     250: q+1
     264: 1
     268: 1
     270: 1
     272: 1
     274: 1
     280: 1
     282: 1
     286: 1
     297: 1
     298: 1
     311: 1
     312: 1
     313: 1
     314: 1
     315: 1
     333: 1
     356: 1
     362: 1
     366: 1
     382: 1
     404: 1
     405: 1
     456: 1

457:   0: 3q+1
       1: q^2+2q+1
       2: 3q+1
       3: q^2+2q+1
       4: 3q+1
       5: q^2+2q+1
       6: q+1
       7: q^2+2q+1
       8: 3q+1
       9: q+1
      10: q^2+2q+1
      11: q+1
      12: q^2+2q+1
      13: q+1
      15: q^2+2q+1
      16: q+1
      17: q^2+2q+1
      18: q+1
      19: 2q+1
      20: q+1
      21: 2q+1
      23: 3q+1
      24: 3q+1
      25: q+1
      26: q+1
      27: 2q+1
      28: q+1
      29: q+1
      30: 2q+1
      31: 3q+1
      32: q^2+2q+1
      33: 3q+1
      34: q^2+2q+1
      35: q+1
      36: q+1
      37: q+1
      38: q+1
      39: q+1
      40: q+1
      41: q+1
      42: q^2+2q+1
      43: 2q+1
      44: 3q+1
      45: q+1
      46: q+1
      47: q+1
      49: q+1
      51: q+1
      53: q+1
      55: q+1
      56: 2q+1
      57: q+1
      58: 2q+1
      60: 2q+1
      61: 2q+1
      62: q+1
      64: 2q+1
      65: q+1
      66: 2q+1
      67: q+1
      68: 2q+1
      69: q+1
      70: 2q+1
      71: q+1
      72: 1
      73: 1
      74: 1
      75: 1
      77: q+1
      79: q+1
      81: q+1
      83: q+1
      84: q+1
      85: q+1
      86: 1
      87: q+1
      89: 1
      91: 1
      93: 1
      95: 1
      96: 2q+1
      97: 2q+1
      98: q+1
      99: q+1
     100: q+1
     101: q+1
     102: 1
     103: 1
     104: 2q+1
     105: 2q+1
     106: q+1
     108: 1
     109: 1
     110: q+1
     112: 2q+1
     113: q+1
     114: 2q+1
     115: q+1
     116: 1
     117: 1
     118: 1
     119: 1
     120: 1
     121: 1
     122: 1
     123: 1
     125: 1
     127: 1
     129: 1
     131: q+1
     133: q+1
     135: q+1
     137: 1
     139: 1
     141: 1
     143: 1
     145: 1
     146: 1
     147: 1
     148: 2q+1
     149: q+1
     150: q+1
     151: 1
     152: q+1
     153: q+1
     154: q+1
     155: 1
     156: 1
     157: 1
     158: 1
     160: 1
     161: 1
     163: 1
     165: 1
     167: 1
     169: 1
     170: 1
     171: 1
     172: q+1
     174: 1
     175: 1
     176: q+1
     182: 1
     183: 1
     184: 1
     185: 1
     187: 1
     189: 1
     191: 1
     193: 1
     195: 1
     197: 1
     201: q+1
     203: 1
     205: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: q+1
     223: 1
     224: 1
     225: 1
     226: 1
     231: 1
     233: 1
     235: 1
     237: 1
     239: 1
     240: 1
     241: 1
     243: 1
     248: 1
     249: 1
     250: q+1
     265: 1
     269: 1
     271: 1
     273: 1
     275: 1
     281: 1
     283: 1
     287: 1
     297: 1
     298: 1
     311: 1
     312: 1
     313: 1
     314: 1
     315: 1
     333: 1
     357: 1
     363: 1
     367: 1
     383: 1
     404: 1
     405: 1
     457: 1

458:   0: 2q+1
       1: 2q+1
       2: 2q^2+3q+1
       3: q^2+q+1
       4: 2q+1
       5: 2q+1
       6: q^2+q+1
       7: 2q+1
       8: 2q^2+3q+1
       9: q^2+q+1
      10: 2q+1
      12: q^3+2q^2+2q+1
      15: 2q+1
      16: q^2+q+1
      17: 2q+1
      19: 2q+1
      20: q^2+q+1
      21: 2q+1
      23: 2q+1
      24: 2q+1
      27: q+1
      28: q+1
      29: q+1
      30: q^2+2q+1
      31: 2q+1
      32: 2q+1
      33: 2q^2+3q+1
      34: 2q+1
      35: q+1
      36: q+1
      37: q^2+2q+1
      38: q+1
      40: q+1
      41: q+1
      42: 2q+1
      43: 2q+1
      44: 2q+1
      45: q+1
      46: q+1
      47: q+1
      48: q+1
      50: q+1
      52: q^2+2q+1
      54: q+1
      56: 2q+1
      57: q^2+q+1
      58: 2q+1
      60: 2q+1
      61: 2q+1
      64: q+1
      66: q+1
      68: q+1
      69: q+1
      70: q^2+2q+1
      71: q+1
      72: 1
      73: 1
      74: q+1
      75: 1
      76: q+1
      78: q+1
      80: q+1
      84: q+1
      86: 1
      87: 1
      88: 1
      90: 1
      92: q+1
      94: 1
      96: 2q+1
      97: 2q+1
      98: q+1
      99: q+1
     100: q+1
     101: q+1
     102: 1
     103: 1
     104: 2q+1
     105: 2q+1
     108: q+1
     110: q+1
     112: q+1
     114: q+1
     116: 1
     118: 1
     120: 1
     121: 1
     122: q+1
     123: 1
     124: 1
     126: 1
     128: 1
     130: q+1
     132: q+1
     136: 1
     140: 1
     146: 1
     147: 1
     148: 2q+1
     151: 1
     152: q+1
     153: 1
     154: q+1
     157: 1
     158: 1
     160: 1
     161: 1
     162: 1
     164: 1
     166: q+1
     168: 1
     170: q+1
     172: q+1
     174: q+1
     176: q+1
     178: 1
     180: 1
     182: 1
     184: 1
     190: 1
     192: 1
     194: 1
     196: 1
     200: q+1
     202: 1
     204: 1
     206: 1
     210: 1
     217: 1
     219: 1
     224: 1
     225: 1
     229: 1
     232: 1
     236: 1
     241: 1
     243: 1
     248: q+1
     250: q+1
     252: 1
     254: 1
     256: 1
     258: 1
     266: 1
     270: 1
     272: 1
     274: 1
     286: 1
     288: 1
     292: 1
     312: 1
     314: 1
     320: 1
     325: 1
     329: 1
     336: 1
     342: 1
     344: 1
     352: 1
     364: 1
     366: 1
     413: 1
     417: 1
     424: 1
     458: 1

459:   0: 2q+1
       1: 2q+1
       2: 2q^2+3q+1
       3: q^2+q+1
       4: 2q+1
       5: 2q+1
       6: q^2+q+1
       7: 2q+1
       8: 2q^2+3q+1
       9: q^2+q+1
      10: 2q+1
      12: q^3+2q^2+2q+1
      15: 2q+1
      16: q^2+q+1
      17: 2q+1
      19: 2q+1
      20: q^2+q+1
      21: 2q+1
      23: 2q+1
      24: 2q+1
      27: q+1
      28: q+1
      29: q+1
      30: q^2+2q+1
      31: 2q+1
      32: 2q+1
      33: 2q^2+3q+1
      34: 2q+1
      35: q+1
      36: q+1
      37: q^2+2q+1
      38: q+1
      40: q+1
      41: q+1
      42: 2q+1
      43: 2q+1
      44: 2q+1
      45: q+1
      46: q+1
      47: q+1
      49: q+1
      51: q+1
      53: q^2+2q+1
      55: q+1
      56: 2q+1
      57: q^2+q+1
      58: 2q+1
      60: 2q+1
      61: 2q+1
      64: q+1
      66: q+1
      68: q+1
      69: q+1
      70: q^2+2q+1
      71: q+1
      72: 1
      73: 1
      74: q+1
      75: 1
      77: q+1
      79: q+1
      81: q+1
      84: q+1
      86: 1
      87: 1
      89: 1
      91: 1
      93: q+1
      95: 1
      96: 2q+1
      97: 2q+1
      98: q+1
      99: q+1
     100: q+1
     101: q+1
     102: 1
     103: 1
     104: 2q+1
     105: 2q+1
     108: q+1
     110: q+1
     112: q+1
     114: q+1
     116: 1
     118: 1
     120: 1
     121: 1
     122: q+1
     123: 1
     125: 1
     127: 1
     129: 1
     131: q+1
     133: q+1
     137: 1
     141: 1
     146: 1
     147: 1
     148: 2q+1
     151: 1
     152: q+1
     153: 1
     154: q+1
     157: 1
     158: 1
     160: 1
     161: 1
     163: 1
     165: 1
     167: q+1
     169: 1
     170: q+1
     172: q+1
     174: q+1
     176: q+1
     178: 1
     180: 1
     182: 1
     184: 1
     191: 1
     193: 1
     195: 1
     197: 1
     201: q+1
     203: 1
     205: 1
     207: 1
     211: 1
     217: 1
     219: 1
     224: 1
     225: 1
     229: 1
     233: 1
     237: 1
     241: 1
     243: 1
     248: q+1
     250: q+1
     252: 1
     254: 1
     256: 1
     258: 1
     267: 1
     271: 1
     273: 1
     275: 1
     287: 1
     289: 1
     293: 1
     312: 1
     314: 1
     320: 1
     326: 1
     330: 1
     336: 1
     342: 1
     344: 1
     353: 1
     365: 1
     367: 1
     414: 1
     418: 1
     424: 1
     459: 1

460:   0: q+1
       1: q^2+1
       2: q+1
       3: q+1
       4: q+1
       6: q^2+1
       7: q^2+1
       8: q+1
      11: q^2+1
      12: q+1
      19: 1
      20: 1
      21: 1
      23: q+1
      24: q+1
      25: q^2+1
      27: q+1
      28: q^2+1
      30: q+1
      31: q+1
      32: q^2+1
      33: q+1
      35: 1
      36: 1
      37: 1
      41: 1
      43: 1
      44: q+1
      46: 1
      47: 1
      48: 1
      50: 1
      52: 1
      60: 1
      61: 1
      62: 1
      64: q+1
      65: q^2+1
      66: q+1
      68: q+1
      69: q^2+1
      70: q+1
      72: 1
      73: 1
      74: 1
      78: 1
      80: 1
      83: 1
      86: 1
      87: q+1
      88: 1
      90: 1
      92: 1
      97: 1
      99: 1
     101: 1
     103: 1
     108: 1
     109: 1
     110: 1
     112: q+1
     113: q^2+1
     114: q+1
     116: 1
     117: 1
     118: 1
     120: 1
     121: 1
     122: 1
     124: 1
     128: 1
     132: 1
     136: 1
     138: 1
     140: 1
     145: 1
     146: 1
     147: 1
     149: 1
     151: 1
     153: q+1
     155: 1
     158: 1
     161: 1
     162: 1
     164: 1
     166: 1
     174: 1
     175: 1
     176: 1
     182: 1
     183: 1
     184: 1
     186: 1
     190: 1
     192: 1
     196: 1
     204: 1
     218: 1
     220: 1
     223: 1
     224: 1
     225: 1
     231: 1
     232: 1
     234: 1
     236: 1
     241: 1
     244: 1
     245: 1
     246: 1
     268: 1
     272: 1
     274: 1
     280: 1
     299: 1
     301: 1
     303: 1
     305: 1
     313: 1
     315: 1
     316: 1
     358: 1
     362: 1
     368: 1
     406: 1
     460: 1

461:   0: q+1
       1: q^2+1
       2: q+1
       3: q+1
       4: q+1
       6: q^2+1
       7: q^2+1
       8: q+1
      11: q^2+1
      12: q+1
      19: 1
      20: 1
      21: 1
      23: q+1
      24: q+1
      25: q^2+1
      27: q+1
      28: q^2+1
      30: q+1
      31: q+1
      32: q^2+1
      33: q+1
      35: 1
      36: 1
      37: 1
      41: 1
      43: 1
      44: q+1
      46: 1
      47: 1
      49: 1
      51: 1
      53: 1
      60: 1
      61: 1
      62: 1
      64: q+1
      65: q^2+1
      66: q+1
      68: q+1
      69: q^2+1
      70: q+1
      72: 1
      73: 1
      74: 1
      79: 1
      81: 1
      83: 1
      86: 1
      87: q+1
      89: 1
      91: 1
      93: 1
      97: 1
      99: 1
     101: 1
     103: 1
     108: 1
     109: 1
     110: 1
     112: q+1
     113: q^2+1
     114: q+1
     116: 1
     117: 1
     118: 1
     120: 1
     121: 1
     122: 1
     125: 1
     129: 1
     133: 1
     137: 1
     139: 1
     141: 1
     145: 1
     146: 1
     147: 1
     149: 1
     151: 1
     153: q+1
     155: 1
     158: 1
     161: 1
     163: 1
     165: 1
     167: 1
     174: 1
     175: 1
     176: 1
     182: 1
     183: 1
     184: 1
     187: 1
     191: 1
     193: 1
     197: 1
     205: 1
     218: 1
     220: 1
     223: 1
     224: 1
     225: 1
     231: 1
     233: 1
     235: 1
     237: 1
     241: 1
     244: 1
     245: 1
     246: 1
     269: 1
     273: 1
     275: 1
     281: 1
     299: 1
     302: 1
     304: 1
     306: 1
     313: 1
     315: 1
     316: 1
     359: 1
     363: 1
     369: 1
     406: 1
     461: 1

462:   0: q+1
       1: q+1
       2: q^2+2q+1
       3: q+1
       4: q+1
       6: q+1
       7: q+1
       8: q^2+2q+1
      12: q^2+2q+1
      19: q+1
      20: q+1
      21: q+1
      23: q+1
      24: q+1
      27: q+1
      28: q+1
      30: q^2+2q+1
      31: q+1
      32: q+1
      33: q^2+2q+1
      35: 1
      36: 1
      37: q+1
      41: q+1
      43: q+1
      44: q+1
      46: 1
      47: 1
      48: 1
      50: 1
      52: q+1
      60: q+1
      61: q+1
      64: q+1
      66: q+1
      68: q+1
      69: q+1
      70: q^2+2q+1
      72: 1
      73: 1
      74: q+1
      78: 1
      80: 1
      86: 1
      87: q+1
      88: 1
      90: 1
      92: q+1
      97: q+1
      99: q+1
     101: 1
     103: 1
     108: q+1
     110: q+1
     112: q+1
     114: q+1
     116: 1
     118: 1
     120: 1
     121: 1
     122: q+1
     124: 1
     128: 1
     132: 1
     136: 1
     140: 1
     146: 1
     147: q+1
     151: 1
     153: q+1
     158: 1
     161: 1
     162: 1
     164: 1
     166: q+1
     174: q+1
     176: q+1
     178: 1
     180: 1
     182: 1
     184: 1
     190: 1
     192: 1
     196: 1
     204: 1
     206: 1
     210: 1
     224: 1
     225: q+1
     229: 1
     232: 1
     236: 1
     241: 1
     244: 1
     246: 1
     256: 1
     258: 1
     266: 1
     272: 1
     274: 1
     301: 1
     305: 1
     316: 1
     325: 1
     329: 1
     336: 1
     338: 1
     340: 1
     364: 1
     368: 1
     394: 1
     398: 1
     407: 1
     462: 1

463:   0: q+1
       1: q+1
       2: q^2+2q+1
       3: q+1
       4: q+1
       6: q+1
       7: q+1
       8: q^2+2q+1
      12: q^2+2q+1
      19: q+1
      20: q+1
      21: q+1
      23: q+1
      24: q+1
      27: q+1
      28: q+1
      30: q^2+2q+1
      31: q+1
      32: q+1
      33: q^2+2q+1
      35: 1
      36: 1
      37: q+1
      41: q+1
      43: q+1
      44: q+1
      46: 1
      47: 1
      49: 1
      51: 1
      53: q+1
      60: q+1
      61: q+1
      64: q+1
      66: q+1
      68: q+1
      69: q+1
      70: q^2+2q+1
      72: 1
      73: 1
      74: q+1
      79: 1
      81: 1
      86: 1
      87: q+1
      89: 1
      91: 1
      93: q+1
      97: q+1
      99: q+1
     101: 1
     103: 1
     108: q+1
     110: q+1
     112: q+1
     114: q+1
     116: 1
     118: 1
     120: 1
     121: 1
     122: q+1
     125: 1
     129: 1
     133: 1
     137: 1
     141: 1
     146: 1
     147: q+1
     151: 1
     153: q+1
     158: 1
     161: 1
     163: 1
     165: 1
     167: q+1
     174: q+1
     176: q+1
     178: 1
     180: 1
     182: 1
     184: 1
     191: 1
     193: 1
     197: 1
     205: 1
     207: 1
     211: 1
     224: 1
     225: q+1
     229: 1
     233: 1
     237: 1
     241: 1
     244: 1
     246: 1
     256: 1
     258: 1
     267: 1
     273: 1
     275: 1
     302: 1
     306: 1
     316: 1
     326: 1
     330: 1
     336: 1
     338: 1
     340: 1
     365: 1
     369: 1
     395: 1
     399: 1
     407: 1
     463: 1

464:   0: 2q+1
       1: 2q+1
       2: 2q+1
       3: q^2+q+1
       4: 2q+1
       6: q^2+q+1
       7: 2q+1
       8: 2q+1
      11: q^2+q+1
      12: q^2+q+1
      19: 2q+1
      20: q^2+q+1
      21: 2q+1
      23: 2q+1
      24: 2q+1
      25: q^2+q+1
      27: q+1
      28: q+1
      30: q+1
      31: q+1
      32: q+1
      33: q+1
      35: 2q+1
      36: 2q+1
      37: 2q+1
      41: q+1
      43: q+1
      44: q+1
      46: 2q+1
      47: 2q+1
      48: q+1
      50: q+1
      52: q+1
      60: 2q+1
      61: 2q+1
      62: q^2+q+1
      64: q+1
      65: q+1
      66: q+1
      68: 1
      69: 1
      70: 1
      72: q+1
      73: q+1
      74: q+1
      78: q+1
      80: q+1
      83: q+1
      86: 1
      87: 1
      88: 1
      90: 1
      92: 1
      97: q+1
      99: 1
     101: 2q+1
     103: q+1
     108: q+1
     109: q+1
     110: q+1
     112: 1
     113: 1
     114: 1
     116: q+1
     117: q+1
     118: q+1
     120: 1
     121: 1
     122: 1
     124: 1
     128: 1
     132: q+1
     136: 1
     138: 1
     140: 1
     145: q+1
     146: 1
     147: 1
     149: 1
     153: 1
     155: q+1
     158: 1
     159: 1
     161: 1
     162: 1
     164: 1
     166: 1
     174: 1
     175: 1
     176: 1
     178: q+1
     179: q+1
     180: q+1
     182: 1
     183: 1
     184: 1
     186: 1
     190: 1
     192: 1
     198: 1
     204: 1
     206: 1
     208: 1
     210: 1
     218: 1
     220: 1
     223: 1
     225: 1
     228: q+1
     229: 1
     230: 1
     231: 1
     232: 1
     234: 1
     236: 1
     242: 1
     256: 1
     257: 1
     258: 1
     262: 1
     266: 1
     268: 1
     276: 1
     278: 1
     280: 1
     315: 1
     321: 1
     323: 1
     325: 1
     327: 1
     329: 1
     335: 1
     337: 1
     354: 1
     370: 1
     372: 1
     380: 1
     427: 1
     464: 1

465:   0: 2q+1
       1: 2q+1
       2: 2q+1
       3: q^2+q+1
       4: 2q+1
       6: q^2+q+1
       7: 2q+1
       8: 2q+1
      11: q^2+q+1
      12: q^2+q+1
      19: 2q+1
      20: q^2+q+1
      21: 2q+1
      23: 2q+1
      24: 2q+1
      25: q^2+q+1
      27: q+1
      28: q+1
      30: q+1
      31: q+1
      32: q+1
      33: q+1
      35: 2q+1
      36: 2q+1
      37: 2q+1
      41: q+1
      43: q+1
      44: q+1
      46: 2q+1
      47: 2q+1
      49: q+1
      51: q+1
      53: q+1
      60: 2q+1
      61: 2q+1
      62: q^2+q+1
      64: q+1
      65: q+1
      66: q+1
      68: 1
      69: 1
      70: 1
      72: q+1
      73: q+1
      74: q+1
      79: q+1
      81: q+1
      83: q+1
      86: 1
      87: 1
      89: 1
      91: 1
      93: 1
      97: q+1
      99: 1
     101: 2q+1
     103: q+1
     108: q+1
     109: q+1
     110: q+1
     112: 1
     113: 1
     114: 1
     116: q+1
     117: q+1
     118: q+1
     120: 1
     121: 1
     122: 1
     125: 1
     129: 1
     133: q+1
     137: 1
     139: 1
     141: 1
     145: q+1
     146: 1
     147: 1
     149: 1
     153: 1
     155: q+1
     158: 1
     159: 1
     161: 1
     163: 1
     165: 1
     167: 1
     174: 1
     175: 1
     176: 1
     178: q+1
     179: q+1
     180: q+1
     182: 1
     183: 1
     184: 1
     187: 1
     191: 1
     193: 1
     199: 1
     205: 1
     207: 1
     209: 1
     211: 1
     218: 1
     220: 1
     223: 1
     225: 1
     228: q+1
     229: 1
     230: 1
     231: 1
     233: 1
     235: 1
     237: 1
     242: 1
     256: 1
     257: 1
     258: 1
     263: 1
     267: 1
     269: 1
     277: 1
     279: 1
     281: 1
     315: 1
     321: 1
     323: 1
     326: 1
     328: 1
     330: 1
     335: 1
     337: 1
     355: 1
     371: 1
     373: 1
     381: 1
     427: 1
     465: 1

466:   0: 3q+1
       1: q^2+2q+1
       2: 3q+1
       3: q^2+2q+1
       4: 3q+1
       5: q^2+2q+1
       6: q+1
       7: q^2+2q+1
       8: 3q+1
       9: q+1
      10: q^2+2q+1
      11: q+1
      12: q^2+2q+1
      13: q+1
      15: q^2+2q+1
      16: q+1
      17: q^2+2q+1
      18: q+1
      19: 2q+1
      20: q+1
      21: 2q+1
      23: 3q+1
      24: 3q+1
      25: q+1
      26: q+1
      27: 2q+1
      28: q+1
      29: q+1
      30: 2q+1
      31: q+1
      32: q+1
      33: q+1
      34: q+1
      35: 3q+1
      36: q^2+2q+1
      37: 3q+1
      38: q^2+2q+1
      39: q+1
      40: q+1
      41: q+1
      42: q+1
      43: q+1
      44: q+1
      45: q^2+2q+1
      46: 2q+1
      47: 3q+1
      48: q+1
      50: q+1
      52: q+1
      54: q+1
      56: 2q+1
      57: q+1
      58: 2q+1
      60: 2q+1
      61: 2q+1
      62: q+1
      64: 2q+1
      65: q+1
      66: 2q+1
      67: q+1
      68: 1
      69: 1
      70: 1
      71: 1
      72: 2q+1
      73: q+1
      74: 2q+1
      75: q+1
      76: q+1
      78: q+1
      80: q+1
      83: q+1
      84: q+1
      85: q+1
      86: q+1
      87: 1
      88: 1
      90: 1
      92: 1
      94: 1
      96: q+1
      97: q+1
      98: 1
      99: 1
     100: 2q+1
     101: 2q+1
     102: q+1
     103: q+1
     104: 2q+1
     105: 2q+1
     106: q+1
     108: 1
     109: 1
     110: q+1
     112: 1
     113: 1
     114: 1
     115: 1
     116: 2q+1
     117: q+1
     118: 2q+1
     119: q+1
     120: 1
     121: 1
     122: 1
     123: 1
     124: 1
     126: 1
     128: 1
     130: q+1
     132: q+1
     135: q+1
     136: 1
     138: 1
     140: 1
     142: 1
     145: 1
     146: 1
     147: 1
     148: q+1
     149: 1
     150: 1
     152: 1
     153: 1
     154: 2q+1
     155: q+1
     156: q+1
     157: q+1
     158: q+1
     159: 1
     160: 1
     161: 1
     162: 1
     164: 1
     166: 1
     168: 1
     170: 1
     171: 1
     172: q+1
     178: 1
     179: 1
     180: q+1
     182: 1
     183: 1
     184: 1
     185: 1
     186: 1
     188: 1
     190: 1
     192: 1
     194: 1
     198: 1
     200: q+1
     202: 1
     204: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     226: q+1
     228: 1
     229: 1
     230: 1
     231: 1
     232: 1
     234: 1
     236: 1
     238: 1
     240: 1
     242: 1
     243: 1
     252: 1
     253: 1
     254: q+1
     264: 1
     268: 1
     270: 1
     276: 1
     278: 1
     280: 1
     282: 1
     286: 1
     297: 1
     298: 1
     319: 1
     320: 1
     321: 1
     322: 1
     323: 1
     333: 1
     356: 1
     370: 1
     374: 1
     382: 1
     409: 1
     410: 1
     466: 1

467:   0: 3q+1
       1: q^2+2q+1
       2: 3q+1
       3: q^2+2q+1
       4: 3q+1
       5: q^2+2q+1
       6: q+1
       7: q^2+2q+1
       8: 3q+1
       9: q+1
      10: q^2+2q+1
      11: q+1
      12: q^2+2q+1
      13: q+1
      15: q^2+2q+1
      16: q+1
      17: q^2+2q+1
      18: q+1
      19: 2q+1
      20: q+1
      21: 2q+1
      23: 3q+1
      24: 3q+1
      25: q+1
      26: q+1
      27: 2q+1
      28: q+1
      29: q+1
      30: 2q+1
      31: q+1
      32: q+1
      33: q+1
      34: q+1
      35: 3q+1
      36: q^2+2q+1
      37: 3q+1
      38: q^2+2q+1
      39: q+1
      40: q+1
      41: q+1
      42: q+1
      43: q+1
      44: q+1
      45: q^2+2q+1
      46: 2q+1
      47: 3q+1
      49: q+1
      51: q+1
      53: q+1
      55: q+1
      56: 2q+1
      57: q+1
      58: 2q+1
      60: 2q+1
      61: 2q+1
      62: q+1
      64: 2q+1
      65: q+1
      66: 2q+1
      67: q+1
      68: 1
      69: 1
      70: 1
      71: 1
      72: 2q+1
      73: q+1
      74: 2q+1
      75: q+1
      77: q+1
      79: q+1
      81: q+1
      83: q+1
      84: q+1
      85: q+1
      86: q+1
      87: 1
      89: 1
      91: 1
      93: 1
      95: 1
      96: q+1
      97: q+1
      98: 1
      99: 1
     100: 2q+1
     101: 2q+1
     102: q+1
     103: q+1
     104: 2q+1
     105: 2q+1
     106: q+1
     108: 1
     109: 1
     110: q+1
     112: 1
     113: 1
     114: 1
     115: 1
     116: 2q+1
     117: q+1
     118: 2q+1
     119: q+1
     120: 1
     121: 1
     122: 1
     123: 1
     125: 1
     127: 1
     129: 1
     131: q+1
     133: q+1
     135: q+1
     137: 1
     139: 1
     141: 1
     143: 1
     145: 1
     146: 1
     147: 1
     148: q+1
     149: 1
     150: 1
     152: 1
     153: 1
     154: 2q+1
     155: q+1
     156: q+1
     157: q+1
     158: q+1
     159: 1
     160: 1
     161: 1
     163: 1
     165: 1
     167: 1
     169: 1
     170: 1
     171: 1
     172: q+1
     178: 1
     179: 1
     180: q+1
     182: 1
     183: 1
     184: 1
     185: 1
     187: 1
     189: 1
     191: 1
     193: 1
     195: 1
     199: 1
     201: q+1
     203: 1
     205: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     226: q+1
     228: 1
     229: 1
     230: 1
     231: 1
     233: 1
     235: 1
     237: 1
     239: 1
     240: 1
     242: 1
     243: 1
     252: 1
     253: 1
     254: q+1
     265: 1
     269: 1
     271: 1
     277: 1
     279: 1
     281: 1
     283: 1
     287: 1
     297: 1
     298: 1
     319: 1
     320: 1
     321: 1
     322: 1
     323: 1
     333: 1
     357: 1
     371: 1
     375: 1
     383: 1
     409: 1
     410: 1
     467: 1

468:   0: 2q+1
       1: 2q+1
       2: 2q^2+3q+1
       3: q^2+q+1
       4: 2q+1
       5: 2q+1
       6: q^2+q+1
       7: 2q+1
       8: 2q^2+3q+1
       9: q^2+q+1
      10: 2q+1
      12: q^3+2q^2+2q+1
      15: 2q+1
      16: q^2+q+1
      17: 2q+1
      19: 2q+1
      20: q^2+q+1
      21: 2q+1
      23: 2q+1
      24: 2q+1
      27: q+1
      28: q+1
      29: q+1
      30: q^2+2q+1
      31: q+1
      32: q+1
      33: q^2+2q+1
      34: q+1
      35: 2q+1
      36: 2q+1
      37: 2q^2+3q+1
      38: 2q+1
      40: q+1
      41: q+1
      42: q+1
      43: q+1
      44: q+1
      45: 2q+1
      46: 2q+1
      47: 2q+1
      48: q+1
      50: q+1
      52: q^2+2q+1
      54: q+1
      56: 2q+1
      57: q^2+q+1
      58: 2q+1
      60: 2q+1
      61: 2q+1
      64: q+1
      66: q+1
      68: 1
      69: 1
      70: q+1
      71: 1
      72: q+1
      73: q+1
      74: q^2+2q+1
      75: q+1
      76: q+1
      78: q+1
      80: q+1
      84: q+1
      86: 1
      87: 1
      88: 1
      90: 1
      92: q+1
      94: 1
      96: q+1
      97: q+1
      98: 1
      99: 1
     100: 2q+1
     101: 2q+1
     102: q+1
     103: q+1
     104: 2q+1
     105: 2q+1
     108: q+1
     110: q+1
     112: 1
     114: 1
     116: q+1
     118: q+1
     120: 1
     121: 1
     122: q+1
     123: 1
     124: 1
     126: 1
     128: 1
     130: q+1
     132: q+1
     136: 1
     140: 1
     146: 1
     147: 1
     148: q+1
     152: 1
     153: 1
     154: 2q+1
     157: q+1
     158: 1
     159: 1
     160: 1
     161: 1
     162: 1
     164: 1
     166: q+1
     168: 1
     170: q+1
     172: q+1
     174: 1
     176: 1
     178: q+1
     180: q+1
     182: 1
     184: 1
     190: 1
     192: 1
     194: 1
     198: 1
     200: q+1
     202: 1
     204: 1
     206: 1
     210: 1
     217: 1
     219: 1
     225: 1
     229: 1
     230: 1
     232: 1
     236: 1
     242: 1
     243: 1
     248: 1
     250: 1
     252: q+1
     254: q+1
     256: 1
     258: 1
     266: 1
     270: 1
     276: 1
     278: 1
     286: 1
     288: 1
     292: 1
     314: 1
     320: 1
     322: 1
     325: 1
     329: 1
     337: 1
     342: 1
     344: 1
     352: 1
     372: 1
     374: 1
     413: 1
     417: 1
     426: 1
     468: 1

469:   0: 2q+1
       1: 2q+1
       2: 2q^2+3q+1
       3: q^2+q+1
       4: 2q+1
       5: 2q+1
       6: q^2+q+1
       7: 2q+1
       8: 2q^2+3q+1
       9: q^2+q+1
      10: 2q+1
      12: q^3+2q^2+2q+1
      15: 2q+1
      16: q^2+q+1
      17: 2q+1
      19: 2q+1
      20: q^2+q+1
      21: 2q+1
      23: 2q+1
      24: 2q+1
      27: q+1
      28: q+1
      29: q+1
      30: q^2+2q+1
      31: q+1
      32: q+1
      33: q^2+2q+1
      34: q+1
      35: 2q+1
      36: 2q+1
      37: 2q^2+3q+1
      38: 2q+1
      40: q+1
      41: q+1
      42: q+1
      43: q+1
      44: q+1
      45: 2q+1
      46: 2q+1
      47: 2q+1
      49: q+1
      51: q+1
      53: q^2+2q+1
      55: q+1
      56: 2q+1
      57: q^2+q+1
      58: 2q+1
      60: 2q+1
      61: 2q+1
      64: q+1
      66: q+1
      68: 1
      69: 1
      70: q+1
      71: 1
      72: q+1
      73: q+1
      74: q^2+2q+1
      75: q+1
      77: q+1
      79: q+1
      81: q+1
      84: q+1
      86: 1
      87: 1
      89: 1
      91: 1
      93: q+1
      95: 1
      96: q+1
      97: q+1
      98: 1
      99: 1
     100: 2q+1
     101: 2q+1
     102: q+1
     103: q+1
     104: 2q+1
     105: 2q+1
     108: q+1
     110: q+1
     112: 1
     114: 1
     116: q+1
     118: q+1
     120: 1
     121: 1
     122: q+1
     123: 1
     125: 1
     127: 1
     129: 1
     131: q+1
     133: q+1
     137: 1
     141: 1
     146: 1
     147: 1
     148: q+1
     152: 1
     153: 1
     154: 2q+1
     157: q+1
     158: 1
     159: 1
     160: 1
     161: 1
     163: 1
     165: 1
     167: q+1
     169: 1
     170: q+1
     172: q+1
     174: 1
     176: 1
     178: q+1
     180: q+1
     182: 1
     184: 1
     191: 1
     193: 1
     195: 1
     199: 1
     201: q+1
     203: 1
     205: 1
     207: 1
     211: 1
     217: 1
     219: 1
     225: 1
     229: 1
     230: 1
     233: 1
     237: 1
     242: 1
     243: 1
     248: 1
     250: 1
     252: q+1
     254: q+1
     256: 1
     258: 1
     267: 1
     271: 1
     277: 1
     279: 1
     287: 1
     289: 1
     293: 1
     314: 1
     320: 1
     322: 1
     326: 1
     330: 1
     337: 1
     342: 1
     344: 1
     353: 1
     373: 1
     375: 1
     414: 1
     418: 1
     426: 1
     469: 1

470:   0: q+1
       1: q^2+1
       2: q+1
       3: q+1
       4: q+1
       6: q^2+1
       7: q^2+1
       8: q+1
      11: q^2+1
      12: q+1
      19: 1
      20: 1
      21: 1
      23: q+1
      24: q+1
      25: q^2+1
      27: q+1
      28: q^2+1
      30: q+1
      31: 1
      32: 1
      33: 1
      35: q+1
      36: q^2+1
      37: q+1
      41: 1
      43: 1
      44: 1
      46: 1
      47: q+1
      48: 1
      50: 1
      52: 1
      60: 1
      61: 1
      62: 1
      64: q+1
      65: q^2+1
      66: q+1
      68: 1
      69: 1
      70: 1
      72: q+1
      73: q^2+1
      74: q+1
      78: 1
      80: 1
      83: 1
      86: q+1
      87: 1
      88: 1
      90: 1
      92: 1
      97: 1
      99: 1
     101: 1
     103: 1
     108: 1
     109: 1
     110: 1
     112: 1
     113: 1
     114: 1
     116: q+1
     117: q^2+1
     118: q+1
     120: 1
     121: 1
     122: 1
     124: 1
     128: 1
     132: 1
     136: 1
     138: 1
     140: 1
     145: 1
     146: 1
     147: 1
     149: 1
     153: 1
     155: 1
     158: q+1
     159: 1
     161: 1
     162: 1
     164: 1
     166: 1
     178: 1
     179: 1
     180: 1
     182: 1
     183: 1
     184: 1
     186: 1
     190: 1
     192: 1
     198: 1
     204: 1
     218: 1
     220: 1
     228: 1
     229: 1
     230: 1
     231: 1
     232: 1
     234: 1
     236: 1
     242: 1
     244: 1
     245: 1
     246: 1
     268: 1
     276: 1
     278: 1
     280: 1
     299: 1
     301: 1
     303: 1
     305: 1
     321: 1
     323: 1
     324: 1
     358: 1
     370: 1
     376: 1
     411: 1
     470: 1

471:   0: q+1
       1: q^2+1
       2: q+1
       3: q+1
       4: q+1
       6: q^2+1
       7: q^2+1
       8: q+1
      11: q^2+1
      12: q+1
      19: 1
      20: 1
      21: 1
      23: q+1
      24: q+1
      25: q^2+1
      27: q+1
      28: q^2+1
      30: q+1
      31: 1
      32: 1
      33: 1
      35: q+1
      36: q^2+1
      37: q+1
      41: 1
      43: 1
      44: 1
      46: 1
      47: q+1
      49: 1
      51: 1
      53: 1
      60: 1
      61: 1
      62: 1
      64: q+1
      65: q^2+1
      66: q+1
      68: 1
      69: 1
      70: 1
      72: q+1
      73: q^2+1
      74: q+1
      79: 1
      81: 1
      83: 1
      86: q+1
      87: 1
      89: 1
      91: 1
      93: 1
      97: 1
      99: 1
     101: 1
     103: 1
     108: 1
     109: 1
     110: 1
     112: 1
     113: 1
     114: 1
     116: q+1
     117: q^2+1
     118: q+1
     120: 1
     121: 1
     122: 1
     125: 1
     129: 1
     133: 1
     137: 1
     139: 1
     141: 1
     145: 1
     146: 1
     147: 1
     149: 1
     153: 1
     155: 1
     158: q+1
     159: 1
     161: 1
     163: 1
     165: 1
     167: 1
     178: 1
     179: 1
     180: 1
     182: 1
     183: 1
     184: 1
     187: 1
     191: 1
     193: 1
     199: 1
     205: 1
     218: 1
     220: 1
     228: 1
     229: 1
     230: 1
     231: 1
     233: 1
     235: 1
     237: 1
     242: 1
     244: 1
     245: 1
     246: 1
     269: 1
     277: 1
     279: 1
     281: 1
     299: 1
     302: 1
     304: 1
     306: 1
     321: 1
     323: 1
     324: 1
     359: 1
     371: 1
     377: 1
     411: 1
     471: 1

472:   0: q+1
       1: q+1
       2: q^2+2q+1
       3: q+1
       4: q+1
       6: q+1
       7: q+1
       8: q^2+2q+1
      12: q^2+2q+1
      19: q+1
      20: q+1
      21: q+1
      23: q+1
      24: q+1
      27: q+1
      28: q+1
      30: q^2+2q+1
      31: 1
      32: 1
      33: q+1
      35: q+1
      36: q+1
      37: q^2+2q+1
      41: q+1
      43: 1
      44: 1
      46: q+1
      47: q+1
      48: 1
      50: 1
      52: q+1
      60: q+1
      61: q+1
      64: q+1
      66: q+1
      68: 1
      69: 1
      70: q+1
      72: q+1
      73: q+1
      74: q^2+2q+1
      78: 1
      80: 1
      86: q+1
      87: 1
      88: 1
      90: 1
      92: q+1
      97: 1
      99: 1
     101: q+1
     103: q+1
     108: q+1
     110: q+1
     112: 1
     114: 1
     116: q+1
     118: q+1
     120: 1
     121: 1
     122: q+1
     124: 1
     128: 1
     132: 1
     136: 1
     140: 1
     146: q+1
     147: 1
     153: 1
     158: q+1
     159: 1
     161: 1
     162: 1
     164: 1
     166: q+1
     174: 1
     176: 1
     178: q+1
     180: q+1
     182: 1
     184: 1
     190: 1
     192: 1
     198: 1
     204: 1
     206: 1
     210: 1
     225: 1
     229: q+1
     230: 1
     232: 1
     236: 1
     242: 1
     244: 1
     246: 1
     256: 1
     258: 1
     266: 1
     276: 1
     278: 1
     301: 1
     305: 1
     324: 1
     325: 1
     329: 1
     337: 1
     338: 1
     340: 1
     372: 1
     376: 1
     394: 1
     398: 1
     412: 1
     472: 1

473:   0: q+1
       1: q+1
       2: q^2+2q+1
       3: q+1
       4: q+1
       6: q+1
       7: q+1
       8: q^2+2q+1
      12: q^2+2q+1
      19: q+1
      20: q+1
      21: q+1
      23: q+1
      24: q+1
      27: q+1
      28: q+1
      30: q^2+2q+1
      31: 1
      32: 1
      33: q+1
      35: q+1
      36: q+1
      37: q^2+2q+1
      41: q+1
      43: 1
      44: 1
      46: q+1
      47: q+1
      49: 1
      51: 1
      53: q+1
      60: q+1
      61: q+1
      64: q+1
      66: q+1
      68: 1
      69: 1
      70: q+1
      72: q+1
      73: q+1
      74: q^2+2q+1
      79: 1
      81: 1
      86: q+1
      87: 1
      89: 1
      91: 1
      93: q+1
      97: 1
      99: 1
     101: q+1
     103: q+1
     108: q+1
     110: q+1
     112: 1
     114: 1
     116: q+1
     118: q+1
     120: 1
     121: 1
     122: q+1
     125: 1
     129: 1
     133: 1
     137: 1
     141: 1
     146: q+1
     147: 1
     153: 1
     158: q+1
     159: 1
     161: 1
     163: 1
     165: 1
     167: q+1
     174: 1
     176: 1
     178: q+1
     180: q+1
     182: 1
     184: 1
     191: 1
     193: 1
     199: 1
     205: 1
     207: 1
     211: 1
     225: 1
     229: q+1
     230: 1
     233: 1
     237: 1
     242: 1
     244: 1
     246: 1
     256: 1
     258: 1
     267: 1
     277: 1
     279: 1
     302: 1
     306: 1
     324: 1
     326: 1
     330: 1
     337: 1
     338: 1
     340: 1
     373: 1
     377: 1
     395: 1
     399: 1
     412: 1
     473: 1

474:   0: q+1
       1: q+1
       3: 1
       4: q+1
       5: q+1
       6: 1
       7: q+1
       9: 1
      10: q+1
      11: q+1
      13: q+1
      14: q+1
      15: q+1
      16: 1
      17: q+1
      18: q+1
      19: q+1
      20: 1
      21: q+1
      22: q+1
      25: 1
      26: 1
      27: 1
      28: 1
      29: 1
      31: q+1
      32: q+1
      34: q+1
      35: q+1
      36: q+1
      38: q+1
      39: 1
      40: 1
      41: 1
      42: q+1
      43: q+1
      45: q+1
      46: q+1
      48: q+1
      50: q+1
      54: q+1
      56: q+1
      57: 1
      58: q+1
      59: q+1
      62: 1
      63: 1
      65: 1
      67: 1
      68: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: 1
      76: q+1
      78: q+1
      82: 1
      84: 1
      85: 1
      88: 1
      90: 1
      94: 1
      96: q+1
      98: 1
      99: 1
     100: q+1
     102: 1
     103: 1
     106: 1
     107: 1
     109: 1
     111: 1
     113: 1
     115: 1
     117: 1
     119: 1
     120: 1
     121: 1
     123: 1
     126: 1
     128: 1
     130: q+1
     134: 1
     138: 1
     142: 1
     144: 1
     150: 1
     152: 1
     156: 1
     157: 1
     160: 1
     161: 1
     162: 1
     164: 1
     168: 1
     171: 1
     173: 1
     175: 1
     177: 1
     179: 1
     181: 1
     183: 1
     185: 1
     188: 1
     194: 1
     202: 1
     204: 1
     208: 1
     212: 1
     215: 1
     222: 1
     227: 1
     234: 1
     238: 1
     240: 1
     243: 1
     249: 1
     251: 1
     253: 1
     255: 1
     257: 1
     259: 1
     260: 1
     282: 1
     286: 1
     290: 1
     294: 1
     310: 1
     318: 1
     327: 1
     331: 1
     334: 1
     343: 1
     345: 1
     346: 1
     378: 1
     415: 1
     419: 1
     422: 1
     474: 1

475:   0: q+1
       1: q+1
       3: 1
       4: q+1
       5: q+1
       6: 1
       7: q+1
       9: 1
      10: q+1
      11: q+1
      13: q+1
      14: q+1
      15: q+1
      16: 1
      17: q+1
      18: q+1
      19: q+1
      20: 1
      21: q+1
      22: q+1
      25: 1
      26: 1
      27: 1
      28: 1
      29: 1
      31: q+1
      32: q+1
      34: q+1
      35: q+1
      36: q+1
      38: q+1
      39: 1
      40: 1
      41: 1
      42: q+1
      43: q+1
      45: q+1
      46: q+1
      49: q+1
      51: q+1
      55: q+1
      56: q+1
      57: 1
      58: q+1
      59: q+1
      62: 1
      63: 1
      65: 1
      67: 1
      68: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: 1
      77: q+1
      79: q+1
      82: 1
      84: 1
      85: 1
      89: 1
      91: 1
      95: 1
      96: q+1
      98: 1
      99: 1
     100: q+1
     102: 1
     103: 1
     106: 1
     107: 1
     109: 1
     111: 1
     113: 1
     115: 1
     117: 1
     119: 1
     120: 1
     121: 1
     123: 1
     127: 1
     129: 1
     131: q+1
     134: 1
     139: 1
     143: 1
     144: 1
     150: 1
     152: 1
     156: 1
     157: 1
     160: 1
     161: 1
     163: 1
     165: 1
     169: 1
     171: 1
     173: 1
     175: 1
     177: 1
     179: 1
     181: 1
     183: 1
     185: 1
     189: 1
     195: 1
     203: 1
     205: 1
     209: 1
     213: 1
     215: 1
     222: 1
     227: 1
     235: 1
     239: 1
     240: 1
     243: 1
     249: 1
     251: 1
     253: 1
     255: 1
     257: 1
     259: 1
     261: 1
     283: 1
     287: 1
     291: 1
     295: 1
     310: 1
     318: 1
     328: 1
     332: 1
     334: 1
     343: 1
     345: 1
     347: 1
     379: 1
     416: 1
     420: 1
     422: 1
     475: 1

476:   0: q^2+2q+1
       1: q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: q+1
       6: q+1
       7: q+1
       8: q^2+2q+1
       9: q+1
      10: q+1
      11: q+1
      13: q+1
      15: q+1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      20: q+1
      21: q+1
      23: q^2+2q+1
      24: q^2+2q+1
      25: q+1
      26: q+1
      27: q+1
      28: 1
      29: 1
      31: q^2+2q+1
      32: q+1
      33: q^2+2q+1
      34: q+1
      35: q^2+2q+1
      36: q+1
      37: q^2+2q+1
      38: q+1
      39: q+1
      40: 1
      41: 1
      42: q+1
      43: q+1
      44: q^2+2q+1
      45: q+1
      46: q+1
      47: q^2+2q+1
      48: q^2+2q+1
      50: q+1
      52: q^2+2q+1
      54: q+1
      56: q+1
      57: q+1
      58: q+1
      60: q+1
      61: q+1
      62: q+1
      64: q+1
      65: 1
      67: 1
      68: q+1
      69: 1
      71: 1
      72: q+1
      73: 1
      75: 1
      76: q+1
      78: q+1
      80: q^2+2q+1
      83: 1
      84: 1
      85: 1
      88: q+1
      90: 1
      94: 1
      96: q+1
      97: q+1
      98: 1
      99: 1
     100: q+1
     101: q+1
     102: 1
     103: 1
     104: q+1
     105: q+1
     106: q+1
     108: 1
     109: 1
     112: q+1
     113: 1
     115: 1
     116: q+1
     117: 1
     119: 1
     120: q+1
     121: 1
     123: 1
     126: 1
     128: 1
     130: q+1
     132: q+1
     135: 1
     136: q+1
     138: 1
     142: 1
     145: 1
     148: q+1
     149: 1
     150: 1
     152: 1
     154: q+1
     155: 1
     156: 1
     157: 1
     160: 1
     161: 1
     162: q+1
     164: 1
     168: 1
     170: 1
     171: 1
     174: 1
     175: 1
     178: 1
     179: 1
     182: q+1
     183: 1
     185: 1
     186: 1
     188: 1
     194: 1
     200: q+1
     202: 1
     204: 1
     206: 1
     208: 1
     216: 1
     221: 1
     223: 1
     226: 1
     228: 1
     231: 1
     232: q+1
     234: 1
     238: 1
     240: 1
     243: 1
     248: 1
     249: 1
     252: 1
     253: 1
     256: 1
     257: 1
     262: 1
     264: 1
     280: 1
     282: 1
     286: 1
     288: 1
     290: 1
     311: 1
     319: 1
     325: 1
     327: 1
     333: 1
     335: 1
     342: 1
     343: 1
     348: 1
     380: 1
     382: 1
     413: 1
     415: 1
     423: 1
     476: 1

477:   0: q^2+2q+1
       1: q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: q+1
       6: q+1
       7: q+1
       8: q^2+2q+1
       9: q+1
      10: q+1
      11: q+1
      13: q+1
      15: q+1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      20: q+1
      21: q+1
      23: q^2+2q+1
      24: q^2+2q+1
      25: q+1
      26: q+1
      27: q+1
      28: 1
      29: 1
      31: q^2+2q+1
      32: q+1
      33: q^2+2q+1
      34: q+1
      35: q^2+2q+1
      36: q+1
      37: q^2+2q+1
      38: q+1
      39: q+1
      40: 1
      41: 1
      42: q+1
      43: q+1
      44: q^2+2q+1
      45: q+1
      46: q+1
      47: q^2+2q+1
      49: q^2+2q+1
      51: q+1
      53: q^2+2q+1
      55: q+1
      56: q+1
      57: q+1
      58: q+1
      60: q+1
      61: q+1
      62: q+1
      64: q+1
      65: 1
      67: 1
      68: q+1
      69: 1
      71: 1
      72: q+1
      73: 1
      75: 1
      77: q+1
      79: q+1
      81: q^2+2q+1
      83: 1
      84: 1
      85: 1
      89: q+1
      91: 1
      95: 1
      96: q+1
      97: q+1
      98: 1
      99: 1
     100: q+1
     101: q+1
     102: 1
     103: 1
     104: q+1
     105: q+1
     106: q+1
     108: 1
     109: 1
     112: q+1
     113: 1
     115: 1
     116: q+1
     117: 1
     119: 1
     120: q+1
     121: 1
     123: 1
     127: 1
     129: 1
     131: q+1
     133: q+1
     135: 1
     137: q+1
     139: 1
     143: 1
     145: 1
     148: q+1
     149: 1
     150: 1
     152: 1
     154: q+1
     155: 1
     156: 1
     157: 1
     160: 1
     161: 1
     163: q+1
     165: 1
     169: 1
     170: 1
     171: 1
     174: 1
     175: 1
     178: 1
     179: 1
     182: q+1
     183: 1
     185: 1
     187: 1
     189: 1
     195: 1
     201: q+1
     203: 1
     205: 1
     207: 1
     209: 1
     216: 1
     221: 1
     223: 1
     226: 1
     228: 1
     231: 1
     233: q+1
     235: 1
     239: 1
     240: 1
     243: 1
     248: 1
     249: 1
     252: 1
     253: 1
     256: 1
     257: 1
     263: 1
     265: 1
     281: 1
     283: 1
     287: 1
     289: 1
     291: 1
     311: 1
     319: 1
     326: 1
     328: 1
     333: 1
     335: 1
     342: 1
     343: 1
     349: 1
     381: 1
     383: 1
     414: 1
     416: 1
     423: 1
     477: 1

478:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       5: q^2+q+1
       6: q+1
       7: q+1
       8: q+1
       9: 1
      10: q^2+q+1
      11: q+1
      13: 1
      14: 1
      15: q+1
      16: 1
      17: q+1
      18: 1
      19: q+1
      20: q+1
      21: q+1
      22: 1
      23: q+1
      24: q+1
      25: q+1
      26: 1
      27: 1
      28: 1
      29: 1
      31: q+1
      32: q+1
      33: q+1
      34: q^2+q+1
      35: q+1
      36: q+1
      37: q+1
      38: q^2+q+1
      39: 1
      40: 1
      41: 1
      42: q+1
      43: q+1
      44: q+1
      45: q+1
      46: q+1
      47: q+1
      48: q+1
      50: q+1
      52: q+1
      54: q^2+q+1
      56: q+1
      57: 1
      58: q+1
      59: 1
      60: q+1
      61: q+1
      62: q+1
      63: 1
      64: 1
      65: 1
      67: 1
      68: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: 1
      76: q+1
      78: q+1
      80: q+1
      82: 1
      83: 1
      84: 1
      85: 1
      88: 1
      90: 1
      94: 1
      96: q+1
      97: q+1
      98: 1
      99: 1
     100: q+1
     101: q+1
     102: 1
     103: 1
     104: q+1
     105: q+1
     106: 1
     107: 1
     108: 1
     109: 1
     111: 1
     112: 1
     113: 1
     115: 1
     116: 1
     117: 1
     119: 1
     120: 1
     121: 1
     123: 1
     126: 1
     128: 1
     130: q+1
     132: q+1
     134: 1
     135: 1
     136: 1
     138: 1
     142: 1
     144: 1
     145: 1
     148: q+1
     149: 1
     150: 1
     152: 1
     154: q+1
     155: 1
     156: 1
     157: 1
     160: 1
     161: 1
     162: 1
     164: 1
     168: 1
     174: 1
     175: 1
     177: 1
     178: 1
     179: 1
     181: 1
     182: 1
     183: 1
     185: 1
     186: 1
     188: 1
     194: 1
     200: q+1
     202: 1
     204: 1
     206: 1
     208: 1
     212: 1
     214: 1
     221: 1
     222: 1
     223: 1
     226: 1
     227: 1
     228: 1
     231: 1
     232: 1
     234: 1
     238: 1
     240: 1
     243: 1
     256: 1
     257: 1
     259: 1
     260: 1
     262: 1
     264: 1
     280: 1
     282: 1
     286: 1
     309: 1
     317: 1
     325: 1
     327: 1
     331: 1
     333: 1
     334: 1
     335: 1
     350: 1
     378: 1
     380: 1
     382: 1
     421: 1
     478: 1

479:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       5: q^2+q+1
       6: q+1
       7: q+1
       8: q+1
       9: 1
      10: q^2+q+1
      11: q+1
      13: 1
      14: 1
      15: q+1
      16: 1
      17: q+1
      18: 1
      19: q+1
      20: q+1
      21: q+1
      22: 1
      23: q+1
      24: q+1
      25: q+1
      26: 1
      27: 1
      28: 1
      29: 1
      31: q+1
      32: q+1
      33: q+1
      34: q^2+q+1
      35: q+1
      36: q+1
      37: q+1
      38: q^2+q+1
      39: 1
      40: 1
      41: 1
      42: q+1
      43: q+1
      44: q+1
      45: q+1
      46: q+1
      47: q+1
      49: q+1
      51: q+1
      53: q+1
      55: q^2+q+1
      56: q+1
      57: 1
      58: q+1
      59: 1
      60: q+1
      61: q+1
      62: q+1
      63: 1
      64: 1
      65: 1
      67: 1
      68: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: 1
      77: q+1
      79: q+1
      81: q+1
      82: 1
      83: 1
      84: 1
      85: 1
      89: 1
      91: 1
      95: 1
      96: q+1
      97: q+1
      98: 1
      99: 1
     100: q+1
     101: q+1
     102: 1
     103: 1
     104: q+1
     105: q+1
     106: 1
     107: 1
     108: 1
     109: 1
     111: 1
     112: 1
     113: 1
     115: 1
     116: 1
     117: 1
     119: 1
     120: 1
     121: 1
     123: 1
     127: 1
     129: 1
     131: q+1
     133: q+1
     134: 1
     135: 1
     137: 1
     139: 1
     143: 1
     144: 1
     145: 1
     148: q+1
     149: 1
     150: 1
     152: 1
     154: q+1
     155: 1
     156: 1
     157: 1
     160: 1
     161: 1
     163: 1
     165: 1
     169: 1
     174: 1
     175: 1
     177: 1
     178: 1
     179: 1
     181: 1
     182: 1
     183: 1
     185: 1
     187: 1
     189: 1
     195: 1
     201: q+1
     203: 1
     205: 1
     207: 1
     209: 1
     213: 1
     214: 1
     221: 1
     222: 1
     223: 1
     226: 1
     227: 1
     228: 1
     231: 1
     233: 1
     235: 1
     239: 1
     240: 1
     243: 1
     256: 1
     257: 1
     259: 1
     261: 1
     263: 1
     265: 1
     281: 1
     283: 1
     287: 1
     309: 1
     317: 1
     326: 1
     328: 1
     332: 1
     333: 1
     334: 1
     335: 1
     351: 1
     379: 1
     381: 1
     383: 1
     421: 1
     479: 1

480:   0: 5q+1
       1: q^2+3q+1
       2: 5q+1
       3: q^3+2q^2+2q+1
       4: 5q+1
       6: q^2+q+1
       7: q^2+3q+1
       8: 5q+1
      11: q^2+q+1
      12: q^3+3q^2+3q+1
      19: 3q+1
      20: q^2+q+1
      21: 3q+1
      23: 5q+1
      24: 5q+1
      25: q^2+q+1
      27: 2q+1
      28: q+1
      30: 3q+1
      31: 5q+1
      32: q^2+3q+1
      33: 5q+1
      35: 5q+1
      36: q^2+3q+1
      37: 5q+1
      41: q+1
      43: 3q+1
      44: 5q+1
      46: 3q+1
      47: 5q+1
      48: 3q+1
      49: 2q
      50: 2q+1
      51: q^2+q
      52: 3q+1
      53: 2q
      60: 3q+1
      61: 3q+1
      62: q^2+q+1
      64: 2q+1
      65: q+1
      66: 3q+1
      68: 2q+1
      69: q+1
      70: 3q+1
      72: 2q+1
      73: q+1
      74: 3q+1
      78: 2q+1
      79: q
      80: 3q+1
      81: 2q
      83: q+1
      86: q+1
      87: q+1
      88: 1
      90: 1
      92: q+1
      97: 3q+1
      99: q+1
     101: 3q+1
     103: q+1
     108: 1
     109: 1
     110: q+1
     112: 2q+1
     113: q+1
     114: 3q+1
     116: 2q+1
     117: q+1
     118: 3q+1
     120: 2q+1
     121: q+1
     122: 3q+1
     124: 1
     128: 1
     132: 2q+1
     133: q
     136: 1
     138: 1
     140: q+1
     145: 1
     146: 1
     147: 1
     149: q+1
     151: q+1
     153: q+1
     155: q+1
     158: q+1
     159: q+1
     161: q+1
     162: 1
     164: 1
     166: q+1
     174: 1
     175: 1
     176: q+1
     178: 1
     179: 1
     180: q+1
     182: 2q+1
     183: q+1
     184: 3q+1
     186: 1
     190: 1
     192: 1
     196: 1
     198: 1
     204: 1
     218: 1
     220: 1
     223: 1
     224: 1
     225: 1
     228: 1
     229: 1
     230: 1
     231: q+1
     232: 1
     234: 1
     236: q+1
     241: q+1
     242: q+1
     256: 1
     257: 1
     258: q+1
     268: 1
     272: 1
     274: 1
     276: 1
     278: 1
     280: 1
     284: 1
     313: 1
     315: 1
     321: 1
     323: 1
     335: 1
     336: 1
     337: 1
     362: 1
     370: 1
     384: 1
     386: 1
     425: 1
     427: 1
     480: 1

481:   0: 5q+1
       1: q^2+3q+1
       2: 5q+1
       3: q^3+2q^2+2q+1
       4: 5q+1
       6: q^2+q+1
       7: q^2+3q+1
       8: 5q+1
      11: q^2+q+1
      12: q^3+3q^2+3q+1
      19: 3q+1
      20: q^2+q+1
      21: 3q+1
      23: 5q+1
      24: 5q+1
      25: q^2+q+1
      27: 2q+1
      28: q+1
      30: 3q+1
      31: 5q+1
      32: q^2+3q+1
      33: 5q+1
      35: 5q+1
      36: q^2+3q+1
      37: 5q+1
      41: q+1
      43: 3q+1
      44: 5q+1
      46: 3q+1
      47: 5q+1
      48: 2q
      49: 3q+1
      50: q^2+q
      51: 2q+1
      52: 2q
      53: 3q+1
      60: 3q+1
      61: 3q+1
      62: q^2+q+1
      64: 2q+1
      65: q+1
      66: 3q+1
      68: 2q+1
      69: q+1
      70: 3q+1
      72: 2q+1
      73: q+1
      74: 3q+1
      78: q
      79: 2q+1
      80: 2q
      81: 3q+1
      83: q+1
      86: q+1
      87: q+1
      89: 1
      91: 1
      93: q+1
      97: 3q+1
      99: q+1
     101: 3q+1
     103: q+1
     108: 1
     109: 1
     110: q+1
     112: 2q+1
     113: q+1
     114: 3q+1
     116: 2q+1
     117: q+1
     118: 3q+1
     120: 2q+1
     121: q+1
     122: 3q+1
     125: 1
     129: 1
     132: q
     133: 2q+1
     137: 1
     139: 1
     141: q+1
     145: 1
     146: 1
     147: 1
     149: q+1
     151: q+1
     153: q+1
     155: q+1
     158: q+1
     159: q+1
     161: q+1
     163: 1
     165: 1
     167: q+1
     174: 1
     175: 1
     176: q+1
     178: 1
     179: 1
     180: q+1
     182: 2q+1
     183: q+1
     184: 3q+1
     187: 1
     191: 1
     193: 1
     197: 1
     199: 1
     205: 1
     218: 1
     220: 1
     223: 1
     224: 1
     225: 1
     228: 1
     229: 1
     230: 1
     231: q+1
     233: 1
     235: 1
     237: q+1
     241: q+1
     242: q+1
     256: 1
     257: 1
     258: q+1
     269: 1
     273: 1
     275: 1
     277: 1
     279: 1
     281: 1
     285: 1
     313: 1
     315: 1
     321: 1
     323: 1
     335: 1
     336: 1
     337: 1
     363: 1
     371: 1
     385: 1
     387: 1
     425: 1
     427: 1
     481: 1

482:   0: 1
       1: 1
       2: q+1
       3: q^3+1
       4: 1
       6: q^3+1
       7: 1
       8: q+1
      12: q^3+q+1
      19: 1
      20: q^3+1
      21: 1
      23: 1
      24: 1
      27: 1
      28: 1
      30: q+1
      31: 1
      32: 1
      33: q+1
      35: 1
      36: 1
      37: q+1
      41: 1
      43: 1
      44: 1
      46: 1
      47: 1
      48: 1
      50: 1
      52: q+1
      60: 1
      61: 1
      64: 1
      66: 1
      68: 1
      69: 1
      70: q+1
      72: 1
      73: 1
      74: q+1
      78: 1
      80: 1
      86: 1
      87: 1
      88: 1
      90: 1
      92: q+1
      97: 1
      99: 1
     101: 1
     103: 1
     108: 1
     110: 1
     112: 1
     114: 1
     116: 1
     118: 1
     120: 1
     121: 1
     122: q+1
     124: 1
     128: 1
     132: 1
     136: 1
     140: 1
     146: 1
     147: 1
     151: 1
     153: 1
     158: 1
     159: 1
     161: 1
     162: 1
     164: 1
     166: q+1
     174: 1
     176: 1
     178: 1
     180: 1
     182: 1
     184: 1
     190: 1
     192: 1
     196: 1
     198: 1
     204: 1
     206: 1
     210: 1
     224: 1
     225: 1
     229: 1
     230: 1
     232: 1
     236: 1
     241: 1
     242: 1
     256: 1
     258: 1
     266: 1
     272: 1
     274: 1
     276: 1
     278: 1
     284: 1
     325: 1
     329: 1
     336: 1
     337: 1
     364: 1
     372: 1
     384: 1
     386: 1
     482: 1

483:   0: 1
       1: 1
       2: q+1
       3: q^3+1
       4: 1
       6: q^3+1
       7: 1
       8: q+1
      12: q^3+q+1
      19: 1
      20: q^3+1
      21: 1
      23: 1
      24: 1
      27: 1
      28: 1
      30: q+1
      31: 1
      32: 1
      33: q+1
      35: 1
      36: 1
      37: q+1
      41: 1
      43: 1
      44: 1
      46: 1
      47: 1
      49: 1
      51: 1
      53: q+1
      60: 1
      61: 1
      64: 1
      66: 1
      68: 1
      69: 1
      70: q+1
      72: 1
      73: 1
      74: q+1
      79: 1
      81: 1
      86: 1
      87: 1
      89: 1
      91: 1
      93: q+1
      97: 1
      99: 1
     101: 1
     103: 1
     108: 1
     110: 1
     112: 1
     114: 1
     116: 1
     118: 1
     120: 1
     121: 1
     122: q+1
     125: 1
     129: 1
     133: 1
     137: 1
     141: 1
     146: 1
     147: 1
     151: 1
     153: 1
     158: 1
     159: 1
     161: 1
     163: 1
     165: 1
     167: q+1
     174: 1
     176: 1
     178: 1
     180: 1
     182: 1
     184: 1
     191: 1
     193: 1
     197: 1
     199: 1
     205: 1
     207: 1
     211: 1
     224: 1
     225: 1
     229: 1
     230: 1
     233: 1
     237: 1
     241: 1
     242: 1
     256: 1
     258: 1
     267: 1
     273: 1
     275: 1
     277: 1
     279: 1
     285: 1
     326: 1
     330: 1
     336: 1
     337: 1
     365: 1
     373: 1
     385: 1
     387: 1
     483: 1

484:   0: 2q+1
       1: 2q+1
       2: 3q+1
       3: q^2+q+1
       4: 2q+1
       5: 2q+1
       6: q^2+q+1
       7: 2q+1
       8: 3q+1
       9: q^2+q+1
      10: 2q+1
      12: q^2+2q+1
      15: 2q+1
      16: q^2+q+1
      17: 2q+1
      19: 2q+1
      20: q^2+q+1
      21: 2q+1
      23: q+1
      24: q+1
      27: q+1
      28: q+1
      29: q+1
      30: 2q+1
      31: 2q+1
      32: 2q+1
      33: 3q+1
      34: 2q+1
      35: 2q+1
      36: 2q+1
      37: 3q+1
      38: 2q+1
      40: q+1
      41: q+1
      42: 2q+1
      43: 2q+1
      44: q+1
      45: 2q+1
      46: 2q+1
      47: q+1
      48: q+1
      49: q
      50: q+1
      51: q
      52: 2q+1
      53: q
      54: q+1
      55: q
      56: 2q+1
      57: q^2+q+1
      58: 2q+1
      60: q+1
      61: q+1
      64: 1
      66: 1
      68: q+1
      69: q+1
      70: 2q+1
      71: q+1
      72: q+1
      73: q+1
      74: 2q+1
      75: q+1
      76: q+1
      77: q
      78: q+1
      79: q
      80: q+1
      84: q+1
      86: 1
      87: 1
      88: 1
      90: 1
      92: q+1
      94: 1
      96: 2q+1
      97: q+1
      98: q+1
      99: q+1
     100: 2q+1
     101: q+1
     102: q+1
     103: q+1
     104: q+1
     105: q+1
     108: 1
     110: 1
     112: 1
     114: 1
     116: 1
     118: 1
     120: q+1
     121: q+1
     122: 2q+1
     123: q+1
     124: 1
     126: 1
     128: 1
     130: q+1
     131: q
     132: q+1
     146: 1
     147: 1
     148: q+1
     151: 1
     152: q+1
     153: 1
     154: q+1
     157: q+1
     158: 1
     159: 1
     160: q+1
     161: q+1
     162: 1
     164: 1
     166: q+1
     168: 1
     170: 1
     172: 1
     174: 1
     176: 1
     178: 1
     180: 1
     182: 1
     184: 1
     192: 1
     194: 1
     196: 1
     198: 1
     200: q+1
     202: 1
     204: 1
     217: 1
     219: 1
     224: 1
     225: 1
     229: 1
     230: 1
     241: 1
     242: 1
     243: q+1
     248: 1
     250: 1
     252: 1
     254: 1
     256: 1
     258: 1
     270: 1
     274: 1
     278: 1
     284: 1
     286: 1
     312: 1
     314: 1
     320: 1
     322: 1
     336: 1
     337: 1
     342: 1
     344: 1
     366: 1
     374: 1
     384: 1
     424: 1
     426: 1
     484: 1

485:   0: 2q+1
       1: 2q+1
       2: 3q+1
       3: q^2+q+1
       4: 2q+1
       5: 2q+1
       6: q^2+q+1
       7: 2q+1
       8: 3q+1
       9: q^2+q+1
      10: 2q+1
      12: q^2+2q+1
      15: 2q+1
      16: q^2+q+1
      17: 2q+1
      19: 2q+1
      20: q^2+q+1
      21: 2q+1
      23: q+1
      24: q+1
      27: q+1
      28: q+1
      29: q+1
      30: 2q+1
      31: 2q+1
      32: 2q+1
      33: 3q+1
      34: 2q+1
      35: 2q+1
      36: 2q+1
      37: 3q+1
      38: 2q+1
      40: q+1
      41: q+1
      42: 2q+1
      43: 2q+1
      44: q+1
      45: 2q+1
      46: 2q+1
      47: q+1
      48: q
      49: q+1
      50: q
      51: q+1
      52: q
      53: 2q+1
      54: q
      55: q+1
      56: 2q+1
      57: q^2+q+1
      58: 2q+1
      60: q+1
      61: q+1
      64: 1
      66: 1
      68: q+1
      69: q+1
      70: 2q+1
      71: q+1
      72: q+1
      73: q+1
      74: 2q+1
      75: q+1
      76: q
      77: q+1
      78: q
      79: q+1
      81: q+1
      84: q+1
      86: 1
      87: 1
      89: 1
      91: 1
      93: q+1
      95: 1
      96: 2q+1
      97: q+1
      98: q+1
      99: q+1
     100: 2q+1
     101: q+1
     102: q+1
     103: q+1
     104: q+1
     105: q+1
     108: 1
     110: 1
     112: 1
     114: 1
     116: 1
     118: 1
     120: q+1
     121: q+1
     122: 2q+1
     123: q+1
     125: 1
     127: 1
     129: 1
     130: q
     131: q+1
     133: q+1
     146: 1
     147: 1
     148: q+1
     151: 1
     152: q+1
     153: 1
     154: q+1
     157: q+1
     158: 1
     159: 1
     160: q+1
     161: q+1
     163: 1
     165: 1
     167: q+1
     169: 1
     170: 1
     172: 1
     174: 1
     176: 1
     178: 1
     180: 1
     182: 1
     184: 1
     193: 1
     195: 1
     197: 1
     199: 1
     201: q+1
     203: 1
     205: 1
     217: 1
     219: 1
     224: 1
     225: 1
     229: 1
     230: 1
     241: 1
     242: 1
     243: q+1
     248: 1
     250: 1
     252: 1
     254: 1
     256: 1
     258: 1
     271: 1
     275: 1
     279: 1
     285: 1
     287: 1
     312: 1
     314: 1
     320: 1
     322: 1
     336: 1
     337: 1
     342: 1
     344: 1
     367: 1
     375: 1
     385: 1
     424: 1
     426: 1
     485: 1

486:   0: q+1
       1: q+1
       2: 2q+1
       3: q+1
       4: q+1
       6: q+1
       7: q+1
       8: 2q+1
      12: 2q+1
      19: q+1
      20: q+1
      21: q+1
      23: 1
      24: 1
      27: q+1
      28: q+1
      30: 2q+1
      31: q+1
      32: q+1
      33: 2q+1
      35: q+1
      36: q+1
      37: 2q+1
      41: q+1
      43: q+1
      44: 1
      46: q+1
      47: 1
      48: 1
      49: q
      50: 1
      51: q
      52: q+1
      53: q
      60: 1
      61: 1
      64: 1
      66: 1
      68: q+1
      69: q+1
      70: 2q+1
      72: q+1
      73: q+1
      74: 2q+1
      78: 1
      79: q
      80: 1
      86: 1
      87: 1
      88: 1
      89: q
      90: 1
      91: q
      92: q+1
      93: q
      97: 1
      99: q+1
     101: 1
     103: q+1
     108: 1
     110: 1
     112: 1
     114: 1
     116: 1
     118: 1
     120: q+1
     121: q+1
     122: 2q+1
     124: 1
     128: 1
     129: q
     132: 1
     146: 1
     147: 1
     151: 1
     153: 1
     158: 1
     159: 1
     161: q+1
     162: 1
     163: q
     164: 1
     165: q
     166: q+1
     167: q
     174: 1
     176: 1
     178: 1
     180: 1
     182: 1
     184: 1
     192: 1
     196: 1
     198: 1
     204: 1
     205: q
     224: 1
     225: 1
     229: 1
     230: 1
     241: 1
     242: 1
     244: 1
     246: 1
     256: 1
     258: 1
     274: 1
     278: 1
     284: 1
     316: 1
     324: 1
     336: 1
     337: 1
     338: 1
     340: 1
     384: 1
     388: 1
     407: 1
     412: 1
     486: 1

487:   0: q+1
       1: q+1
       2: 2q+1
       3: q+1
       4: q+1
       6: q+1
       7: q+1
       8: 2q+1
      12: 2q+1
      19: q+1
      20: q+1
      21: q+1
      23: 1
      24: 1
      27: q+1
      28: q+1
      30: 2q+1
      31: q+1
      32: q+1
      33: 2q+1
      35: q+1
      36: q+1
      37: 2q+1
      41: q+1
      43: q+1
      44: 1
      46: q+1
      47: 1
      48: q
      49: 1
      50: q
      51: 1
      52: q
      53: q+1
      60: 1
      61: 1
      64: 1
      66: 1
      68: q+1
      69: q+1
      70: 2q+1
      72: q+1
      73: q+1
      74: 2q+1
      78: q
      79: 1
      81: 1
      86: 1
      87: 1
      88: q
      89: 1
      90: q
      91: 1
      92: q
      93: q+1
      97: 1
      99: q+1
     101: 1
     103: q+1
     108: 1
     110: 1
     112: 1
     114: 1
     116: 1
     118: 1
     120: q+1
     121: q+1
     122: 2q+1
     125: 1
     128: q
     129: 1
     133: 1
     146: 1
     147: 1
     151: 1
     153: 1
     158: 1
     159: 1
     161: q+1
     162: q
     163: 1
     164: q
     165: 1
     166: q
     167: q+1
     174: 1
     176: 1
     178: 1
     180: 1
     182: 1
     184: 1
     193: 1
     197: 1
     199: 1
     204: q
     205: 1
     224: 1
     225: 1
     229: 1
     230: 1
     241: 1
     242: 1
     244: 1
     246: 1
     256: 1
     258: 1
     275: 1
     279: 1
     285: 1
     316: 1
     324: 1
     336: 1
     337: 1
     338: 1
     340: 1
     385: 1
     389: 1
     407: 1
     412: 1
     487: 1

488:   0: 2
       1: 2q+2
       2: 2
       3: 2q+2
       4: 2
       5: 2q^2+4q+2
       6: q^3+q^2+2q+2
       7: 2q+2
       8: 2
       9: q^2+3q+2
      10: 2q^2+4q+2
      11: q^3+q^2+2q+2
      13: q^2+3q+2
      14: q^3+q^2+q+1
      15: 2q+2
      16: q^2+q+2
      17: 2q+2
      18: q^2+q+2
      19: 2
      20: q+2
      21: 2
      22: q^2+q+1
      23: 2
      24: 2
      25: q^3+q^2+2q+2
      26: q^2+3q+2
      27: 2
      28: q+2
      29: 3q+2
      31: 2
      32: 2q+2
      33: 2
      34: 2q^2+4q+2
      35: 2
      36: 2q+2
      37: 2
      38: 2q^2+4q+2
      39: q^2+q+2
      40: q+2
      41: 2
      42: 2q+2
      43: 2
      44: 2
      45: 2q+2
      46: 2
      47: 2
      48: 1
      49: 1
      50: q+1
      51: q+1
      52: 1
      53: 1
      54: q^2+2q+1
      55: q^2+2q+1
      56: 2
      57: 2
      58: 2
      59: q^2+1
      60: 2
      61: 2
      62: q+2
      63: q^2+q+1
      64: 2
      65: q+2
      67: 3q+2
      68: 2
      69: q+2
      71: 3q+2
      72: 2
      73: q+2
      75: 3q+2
      76: q+1
      77: q+1
      78: 1
      79: 1
      80: 1
      81: 1
      82: 1
      83: 2
      84: 2
      85: q+2
      88: 1
      89: 1
      90: 1
      91: 1
      94: q+1
      95: q+1
      96: 2
      97: 2
      98: q+2
      99: 2
     100: 2
     101: 2
     102: q+2
     103: 2
     104: 2
     105: 2
     106: 2
     107: q^2+1
     108: 1
     109: 1
     111: q+1
     112: 2
     113: q+2
     115: 3q+2
     116: 2
     117: q+2
     119: 3q+2
     120: 2
     121: q+2
     123: 3q+2
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 1
     134: 1
     135: 2
     136: 1
     137: 1
     138: 1
     139: 1
     142: q+1
     143: q+1
     144: 1
     145: 1
     148: 2
     149: 2
     150: q+2
     152: 2
     154: 2
     155: 2
     156: q+2
     157: 2
     160: q+2
     161: 2
     162: 1
     163: 1
     164: 1
     165: 1
     168: q+1
     169: q+1
     174: 1
     175: 1
     177: q+1
     178: 1
     179: 1
     181: q+1
     182: 2
     183: q+2
     185: 3q+2
     186: 1
     187: 1
     188: 1
     189: 1
     194: 1
     195: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     214: 1
     221: 2
     222: 1
     223: 1
     226: 2
     227: 1
     228: 1
     231: 2
     232: 1
     233: 1
     234: 1
     235: 1
     238: q+1
     239: q+1
     240: q+2
     243: 2
     245: 2
     247: 2
     256: 1
     257: 1
     259: q+1
     264: 1
     265: 1
     280: 1
     281: 1
     282: 1
     283: 1
     286: 1
     287: 1
     300: 2
     303: 1
     304: 1
     307: 1
     308: 1
     309: 1
     317: 1
     333: 2
     334: 1
     335: 1
     339: 1
     341: 1
     360: 1
     361: 1
     382: 1
     383: 1
     393: 1
     421: 1
     429: 1
     431: 1
     488: 1

489:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+1
       3: q+1
       4: q+1
       6: q+1
       7: q+1
       8: q+1
      11: q+1
      12: q^2+q+1
      19: q^2+2q+1
      20: q+1
      21: q+1
      23: q^2+2q+1
      24: q+1
      25: q+1
      27: q+1
      28: q+1
      30: q+1
      31: q+1
      32: q+1
      33: q+1
      35: q+1
      36: q+1
      37: q+1
      41: q+1
      43: q+1
      44: q+1
      46: q+1
      47: q+1
      48: q+1
      50: q+1
      52: q+1
      60: q^2+2q+1
      61: q+1
      62: q+1
      64: q+1
      65: q+1
      66: q+1
      68: 1
      69: 1
      70: q+1
      72: 1
      73: 1
      74: q+1
      78: q+1
      80: q+1
      83: q+1
      86: 1
      87: 1
      88: 1
      90: 1
      92: q+1
      97: q+1
      99: 1
     101: q+1
     103: 1
     108: q+1
     109: q+1
     110: q+1
     112: 1
     113: 1
     114: q+1
     116: 1
     117: 1
     118: q+1
     120: 1
     121: 1
     124: 1
     128: 1
     132: q+1
     136: 1
     138: 1
     140: q+1
     145: q+1
     146: 1
     147: 1
     149: 1
     153: 1
     155: 1
     158: 1
     161: 1
     162: 1
     164: 1
     174: 1
     175: 1
     176: q+1
     178: 1
     179: 1
     180: q+1
     182: 1
     183: 1
     186: 1
     190: 1
     192: 1
     204: 1
     206: 1
     208: 1
     210: q+1
     218: 1
     220: 1
     223: 1
     225: 1
     228: 1
     229: 1
     231: 1
     232: 1
     234: 1
     244: 1
     256: 1
     257: 1
     262: 1
     266: 1
     268: 1
     280: 1
     301: 1
     315: 1
     321: 1
     325: 1
     327: 1
     335: 1
     338: 1
     354: 1
     380: 1
     394: 1
     428: 1
     489: 1

490:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+1
       3: q+1
       4: q+1
       6: q+1
       7: q+1
       8: q+1
      11: q+1
      12: q^2+q+1
      19: q^2+2q+1
      20: q+1
      21: q+1
      23: q^2+2q+1
      24: q+1
      25: q+1
      27: q+1
      28: q+1
      30: q+1
      31: q+1
      32: q+1
      33: q+1
      35: q+1
      36: q+1
      37: q+1
      41: q+1
      43: q+1
      44: q+1
      46: q+1
      47: q+1
      49: q+1
      51: q+1
      53: q+1
      60: q^2+2q+1
      61: q+1
      62: q+1
      64: q+1
      65: q+1
      66: q+1
      68: 1
      69: 1
      70: q+1
      72: 1
      73: 1
      74: q+1
      79: q+1
      81: q+1
      83: q+1
      86: 1
      87: 1
      89: 1
      91: 1
      93: q+1
      97: q+1
      99: 1
     101: q+1
     103: 1
     108: q+1
     109: q+1
     110: q+1
     112: 1
     113: 1
     114: q+1
     116: 1
     117: 1
     118: q+1
     120: 1
     121: 1
     125: 1
     129: 1
     133: q+1
     137: 1
     139: 1
     141: q+1
     145: q+1
     146: 1
     147: 1
     149: 1
     153: 1
     155: 1
     158: 1
     161: 1
     163: 1
     165: 1
     174: 1
     175: 1
     176: q+1
     178: 1
     179: 1
     180: q+1
     182: 1
     183: 1
     187: 1
     191: 1
     193: 1
     205: 1
     207: 1
     209: 1
     211: q+1
     218: 1
     220: 1
     223: 1
     225: 1
     228: 1
     229: 1
     231: 1
     233: 1
     235: 1
     244: 1
     256: 1
     257: 1
     263: 1
     267: 1
     269: 1
     281: 1
     302: 1
     315: 1
     321: 1
     326: 1
     328: 1
     335: 1
     338: 1
     355: 1
     381: 1
     395: 1
     428: 1
     490: 1

491:   0: 1
       1: 1
       2: 1
       3: q+1
       4: 1
       6: q+1
       7: 1
       8: 1
      11: q+1
      19: 1
      20: q+1
      21: 1
      23: 1
      24: 1
      25: q+1
      27: 1
      28: 1
      31: 1
      32: 1
      33: 1
      35: 1
      36: 1
      37: 1
      41: 1
      43: 1
      44: 1
      46: 1
      47: 1
      48: 1
      50: 1
      52: 1
      60: 1
      61: 1
      62: q+1
      64: 1
      65: 1
      68: 1
      69: 1
      72: 1
      73: 1
      78: 1
      80: 1
      83: 1
      88: 1
      90: 1
      97: 1
      99: 1
     101: 1
     103: 1
     108: 1
     109: 1
     112: 1
     113: 1
     116: 1
     117: 1
     120: 1
     121: 1
     128: 1
     132: 1
     136: 1
     138: 1
     145: 1
     149: 1
     155: 1
     161: 1
     162: 1
     164: 1
     174: 1
     175: 1
     178: 1
     179: 1
     182: 1
     183: 1
     186: 1
     204: 1
     206: 1
     208: 1
     223: 1
     228: 1
     231: 1
     232: 1
     234: 1
     245: 1
     256: 1
     257: 1
     262: 1
     280: 1
     303: 1
     325: 1
     327: 1
     335: 1
     339: 1
     380: 1
     396: 1
     429: 1
     491: 1

492:   0: 1
       1: 1
       2: 1
       3: q+1
       4: 1
       6: q+1
       7: 1
       8: 1
      11: q+1
      19: 1
      20: q+1
      21: 1
      23: 1
      24: 1
      25: q+1
      27: 1
      28: 1
      31: 1
      32: 1
      33: 1
      35: 1
      36: 1
      37: 1
      41: 1
      43: 1
      44: 1
      46: 1
      47: 1
      49: 1
      51: 1
      53: 1
      60: 1
      61: 1
      62: q+1
      64: 1
      65: 1
      68: 1
      69: 1
      72: 1
      73: 1
      79: 1
      81: 1
      83: 1
      89: 1
      91: 1
      97: 1
      99: 1
     101: 1
     103: 1
     108: 1
     109: 1
     112: 1
     113: 1
     116: 1
     117: 1
     120: 1
     121: 1
     129: 1
     133: 1
     137: 1
     139: 1
     145: 1
     149: 1
     155: 1
     161: 1
     163: 1
     165: 1
     174: 1
     175: 1
     178: 1
     179: 1
     182: 1
     183: 1
     187: 1
     205: 1
     207: 1
     209: 1
     223: 1
     228: 1
     231: 1
     233: 1
     235: 1
     245: 1
     256: 1
     257: 1
     263: 1
     281: 1
     304: 1
     326: 1
     328: 1
     335: 1
     339: 1
     381: 1
     397: 1
     429: 1
     492: 1

493:   0: 1
       1: 1
       2: 1
       3: 1
       4: q^2+q+1
       6: 1
       7: q^2+q+1
       8: q^2+q+1
      11: 1
      12: q^2+q+1
      19: 1
      20: 1
      21: q^2+q+1
      23: 1
      24: q^2+q+1
      25: 1
      27: 1
      28: 1
      30: q^2+q+1
      31: 1
      32: 1
      33: 1
      35: 1
      36: 1
      37: 1
      41: 1
      43: 1
      44: 1
      46: 1
      47: 1
      48: 1
      50: 1
      52: 1
      60: 1
      61: q^2+q+1
      62: 1
      64: 1
      65: 1
      66: q^2+q+1
      68: 1
      69: 1
      70: 1
      72: 1
      73: 1
      74: 1
      78: 1
      80: 1
      83: 1
      86: 1
      87: 1
      88: 1
      90: 1
      92: 1
      97: 1
      99: 1
     101: 1
     103: 1
     108: 1
     109: 1
     110: q^2+q+1
     112: 1
     113: 1
     114: 1
     116: 1
     117: 1
     118: 1
     122: 1
     124: 1
     128: 1
     132: 1
     136: 1
     138: 1
     140: 1
     145: 1
     146: 1
     147: 1
     149: 1
     153: 1
     155: 1
     158: 1
     166: 1
     174: 1
     175: 1
     176: 1
     178: 1
     179: 1
     180: 1
     184: 1
     186: 1
     190: 1
     192: 1
     206: 1
     208: 1
     210: 1
     218: 1
     220: 1
     223: 1
     225: 1
     228: 1
     229: 1
     236: 1
     246: 1
     258: 1
     262: 1
     266: 1
     268: 1
     305: 1
     315: 1
     321: 1
     329: 1
     340: 1
     354: 1
     398: 1
     430: 1
     493: 1

494:   0: 1
       1: 1
       2: 1
       3: 1
       4: q^2+q+1
       6: 1
       7: q^2+q+1
       8: q^2+q+1
      11: 1
      12: q^2+q+1
      19: 1
      20: 1
      21: q^2+q+1
      23: 1
      24: q^2+q+1
      25: 1
      27: 1
      28: 1
      30: q^2+q+1
      31: 1
      32: 1
      33: 1
      35: 1
      36: 1
      37: 1
      41: 1
      43: 1
      44: 1
      46: 1
      47: 1
      49: 1
      51: 1
      53: 1
      60: 1
      61: q^2+q+1
      62: 1
      64: 1
      65: 1
      66: q^2+q+1
      68: 1
      69: 1
      70: 1
      72: 1
      73: 1
      74: 1
      79: 1
      81: 1
      83: 1
      86: 1
      87: 1
      89: 1
      91: 1
      93: 1
      97: 1
      99: 1
     101: 1
     103: 1
     108: 1
     109: 1
     110: q^2+q+1
     112: 1
     113: 1
     114: 1
     116: 1
     117: 1
     118: 1
     122: 1
     125: 1
     129: 1
     133: 1
     137: 1
     139: 1
     141: 1
     145: 1
     146: 1
     147: 1
     149: 1
     153: 1
     155: 1
     158: 1
     167: 1
     174: 1
     175: 1
     176: 1
     178: 1
     179: 1
     180: 1
     184: 1
     187: 1
     191: 1
     193: 1
     207: 1
     209: 1
     211: 1
     218: 1
     220: 1
     223: 1
     225: 1
     228: 1
     229: 1
     237: 1
     246: 1
     258: 1
     263: 1
     267: 1
     269: 1
     306: 1
     315: 1
     321: 1
     330: 1
     340: 1
     355: 1
     399: 1
     430: 1
     494: 1

495:   5: 1
       9: 1
      10: 1
      13: 1
      14: 1
      22: 1
      26: 1
      29: 1
      34: 1
      38: 1
      54: 1
      63: 1
      67: 1
      71: 1
      75: 1
      94: 1
     111: 1
     115: 1
     119: 1
     123: 1
     142: 1
     168: 1
     177: 1
     181: 1
     185: 1
     212: 1
     238: 1
     247: 1
     259: 1
     307: 1
     331: 1
     341: 1
     400: 1
     431: 1
     495: 1

496:   5: 1
       9: 1
      10: 1
      13: 1
      14: 1
      22: 1
      26: 1
      29: 1
      34: 1
      38: 1
      55: 1
      63: 1
      67: 1
      71: 1
      75: 1
      95: 1
     111: 1
     115: 1
     119: 1
     123: 1
     143: 1
     169: 1
     177: 1
     181: 1
     185: 1
     213: 1
     239: 1
     247: 1
     259: 1
     308: 1
     332: 1
     341: 1
     401: 1
     431: 1
     496: 1

497:   0: 2q+2
       1: 2q^2+q+2
       2: 2q+2
       3: 2q+2
       4: 2
       6: 2q^2+q+2
       7: 2q^2+2
       8: 2
      11: 2q^2+q+2
      12: 2
      19: q+2
      20: q+2
      21: 2
      23: 2q+2
      24: 2
      25: 2q^2+q+2
      27: 2q+2
      28: 2q^2+q+2
      30: 2
      31: 2
      32: q^2+2
      33: 2
      35: 2
      36: q^2+2
      37: 2
      41: q+2
      43: 2
      44: 2
      46: 2
      47: 2
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      60: q+2
      61: 2
      62: q+2
      64: 2q+2
      65: 2q^2+q+2
      66: 2
      68: 2
      69: q^2+2
      70: 2
      72: 2
      73: q^2+2
      74: 2
      78: 1
      79: 1
      80: 1
      81: 1
      83: q+2
      86: 2
      87: 2
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 1
      97: 2
      99: 2
     101: 2
     103: 2
     108: q+2
     109: q+2
     110: 2
     112: 2
     113: q^2+2
     114: 2
     116: 2
     117: q^2+2
     118: 2
     120: 2
     121: 2
     124: 1
     125: 1
     128: 1
     129: 1
     132: 1
     133: 1
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     145: q+2
     146: 2
     147: 2
     149: 2
     153: 2
     155: 2
     158: 2
     161: 2
     162: 1
     163: 1
     164: 1
     165: 1
     174: 1
     175: 1
     176: 1
     178: 1
     179: 1
     180: 1
     182: 2
     183: 2
     186: 1
     187: 1
     190: 1
     191: 1
     192: 1
     193: 1
     204: 1
     205: 1
     218: 2
     220: 2
     223: 1
     225: 1
     228: 1
     229: 1
     231: 2
     232: 1
     233: 1
     234: 1
     235: 1
     244: 2
     245: 2
     256: 1
     257: 1
     268: 1
     269: 1
     280: 1
     281: 1
     299: 2
     301: 1
     302: 1
     303: 1
     304: 1
     315: 1
     321: 1
     335: 1
     338: 1
     339: 1
     358: 1
     359: 1
     402: 1
     428: 1
     429: 1
     497: 1

498:   0: q^2+3q+2
       1: q^2+3q+2
       2: 2q+2
       3: q^2+3q+2
       4: 2q+2
       5: 2q^2+2q+2
       6: q^2+3q+2
       7: 2q+2
       8: 2
       9: 2q^2+2q+2
      10: 2q^3+2q^2+2q+2
      11: q^3+3q^2+3q+1
      12: 2
      13: q^2+2q+1
      14: q^2+2q+1
      15: 2q+2
      16: 2q+2
      17: 2q+2
      18: q^2+2q+1
      19: q^2+3q+2
      20: q^2+3q+2
      21: 2q+2
      22: q^2+2q+1
      23: q+2
      24: 2
      25: q^2+3q+1
      26: 2q+1
      27: q^2+3q+2
      28: q^2+3q+2
      29: 2q^2+2q+2
      30: 2
      31: q+2
      32: q+2
      33: 2
      34: 2q^2+q+2
      35: q+2
      36: q+2
      37: 2
      38: 2q^2+q+2
      39: 2q+1
      40: 2q+2
      41: q^2+3q+2
      42: q+2
      43: q+2
      44: 2
      45: q+2
      46: q+2
      47: 2
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: q^2+1
      55: q^2+1
      56: 2q+2
      57: 2q+2
      58: 2q+2
      59: q^2+2q+1
      60: q+2
      61: 2
      62: q^2+3q+1
      63: 2q+1
      64: q+2
      65: q^2+3q+1
      66: 2
      67: 2q+1
      68: q+2
      69: q+2
      70: 2
      71: 2q^2+q+2
      72: q+2
      73: q+2
      74: 2
      75: 2q^2+q+2
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: 1
      82: 2q+1
      83: q+1
      84: 2q+2
      85: 2q+1
      86: 2
      87: 2
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 1
      94: q^2+1
      95: q^2+1
      96: q+2
      97: 2
      98: q+2
      99: q+2
     100: q+2
     101: 2
     102: q+2
     103: q+2
     104: 2
     105: 2
     106: q+1
     107: q+1
     108: q+2
     109: q^2+3q+1
     110: 2
     111: 2q+1
     112: 1
     113: q+1
     114: 1
     115: q+1
     116: 1
     117: q+1
     118: 1
     119: q+1
     120: 2
     121: 2
     123: 2
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 1
     134: q+1
     135: 1
     144: 2q+1
     145: q+1
     146: 2
     147: 2
     148: 2
     149: 1
     150: q+1
     152: q+2
     153: 1
     154: 2
     155: 1
     156: q+1
     157: q+2
     158: 1
     160: 2
     161: 2
     162: 1
     163: 1
     164: 1
     165: 1
     168: 1
     169: 1
     170: 2
     171: q+1
     172: 2
     173: q+1
     174: 1
     175: q+1
     176: 1
     177: q+1
     178: 1
     179: q+1
     180: 1
     181: q+1
     182: 1
     183: 1
     185: 1
     192: 1
     193: 1
     194: 1
     195: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     214: 1
     215: q+1
     216: 1
     217: 2
     218: 1
     219: 2
     220: 1
     221: 1
     222: q+1
     223: 1
     225: 1
     226: 1
     227: q+1
     228: 1
     229: 1
     231: 1
     240: 1
     243: 2
     244: 1
     245: 1
     247: 1
     256: 1
     257: 1
     259: 1
     270: 1
     271: 1
     286: 1
     287: 1
     296: 1
     297: 1
     298: 1
     299: 1
     300: 1
     309: 1
     315: 1
     317: 1
     321: 1
     333: 1
     334: 1
     335: 1
     338: 1
     339: 1
     341: 1
     390: 1
     391: 1
     392: 1
     393: 1
     402: 1
     421: 1
     498: 1

499:   0: q+1
       1: q+1
       2: q^3+2q^2+2q+1
       3: q+1
       4: 1
       5: q+1
       6: q+1
       7: 1
       8: q^2+q+1
       9: q+1
      10: 1
      12: q^2+q+1
      15: q+1
      16: q+1
      17: 1
      19: q+1
      20: q+1
      21: 1
      23: q+1
      24: 1
      27: q+1
      28: q+1
      29: q+1
      30: q^2+q+1
      31: 1
      32: 1
      33: q^2+q+1
      34: 1
      35: 1
      36: 1
      37: q^2+q+1
      38: 1
      40: q+1
      41: q+1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      48: 1
      50: 1
      52: q^2+q+1
      54: 1
      56: q+1
      57: q+1
      58: 1
      60: q+1
      61: 1
      64: q+1
      66: 1
      68: 1
      69: 1
      70: q^2+q+1
      71: 1
      72: 1
      73: 1
      74: q^2+q+1
      75: 1
      76: 1
      78: 1
      80: 1
      84: q+1
      86: 1
      87: 1
      88: 1
      90: 1
      92: q^2+q+1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: q+1
     105: 1
     108: q+1
     110: 1
     112: 1
     114: 1
     116: 1
     118: 1
     120: 1
     121: 1
     123: 1
     124: 1
     126: 1
     128: 1
     130: 1
     132: 1
     136: 1
     140: 1
     146: 1
     147: 1
     148: 1
     152: 1
     153: 1
     154: 1
     157: 1
     158: 1
     160: 1
     161: 1
     162: 1
     164: 1
     168: 1
     170: q+1
     172: 1
     174: 1
     176: 1
     178: 1
     180: 1
     182: 1
     190: 1
     192: 1
     194: 1
     200: 1
     202: 1
     204: 1
     206: 1
     210: 1
     217: 1
     219: 1
     225: 1
     229: 1
     232: 1
     243: 1
     244: 1
     248: 1
     250: 1
     252: 1
     254: 1
     256: 1
     266: 1
     270: 1
     286: 1
     288: 1
     292: 1
     301: 1
     314: 1
     320: 1
     325: 1
     338: 1
     342: 1
     352: 1
     394: 1
     413: 1
     432: 1
     499: 1

500:   0: q+1
       1: q+1
       2: q^3+2q^2+2q+1
       3: q+1
       4: 1
       5: q+1
       6: q+1
       7: 1
       8: q^2+q+1
       9: q+1
      10: 1
      12: q^2+q+1
      15: q+1
      16: q+1
      17: 1
      19: q+1
      20: q+1
      21: 1
      23: q+1
      24: 1
      27: q+1
      28: q+1
      29: q+1
      30: q^2+q+1
      31: 1
      32: 1
      33: q^2+q+1
      34: 1
      35: 1
      36: 1
      37: q^2+q+1
      38: 1
      40: q+1
      41: q+1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      49: 1
      51: 1
      53: q^2+q+1
      55: 1
      56: q+1
      57: q+1
      58: 1
      60: q+1
      61: 1
      64: q+1
      66: 1
      68: 1
      69: 1
      70: q^2+q+1
      71: 1
      72: 1
      73: 1
      74: q^2+q+1
      75: 1
      77: 1
      79: 1
      81: 1
      84: q+1
      86: 1
      87: 1
      89: 1
      91: 1
      93: q^2+q+1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: q+1
     105: 1
     108: q+1
     110: 1
     112: 1
     114: 1
     116: 1
     118: 1
     120: 1
     121: 1
     123: 1
     125: 1
     127: 1
     129: 1
     131: 1
     133: 1
     137: 1
     141: 1
     146: 1
     147: 1
     148: 1
     152: 1
     153: 1
     154: 1
     157: 1
     158: 1
     160: 1
     161: 1
     163: 1
     165: 1
     169: 1
     170: q+1
     172: 1
     174: 1
     176: 1
     178: 1
     180: 1
     182: 1
     191: 1
     193: 1
     195: 1
     201: 1
     203: 1
     205: 1
     207: 1
     211: 1
     217: 1
     219: 1
     225: 1
     229: 1
     233: 1
     243: 1
     244: 1
     248: 1
     250: 1
     252: 1
     254: 1
     256: 1
     267: 1
     271: 1
     287: 1
     289: 1
     293: 1
     302: 1
     314: 1
     320: 1
     326: 1
     338: 1
     342: 1
     353: 1
     395: 1
     414: 1
     432: 1
     500: 1

501:   0: q+1
       1: 1
       3: q+1
       4: q+1
       5: 1
       6: 1
       7: 1
       9: 1
      10: 1
      11: q+1
      13: q+1
      15: 1
      16: 1
      17: 1
      18: q+1
      19: 1
      20: 1
      21: 1
      25: 1
      26: 1
      27: q+1
      28: 1
      29: 1
      31: q+1
      32: 1
      34: 1
      35: q+1
      36: 1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      45: 1
      46: 1
      48: q+1
      50: 1
      54: 1
      56: 1
      57: 1
      58: 1
      62: 1
      65: 1
      67: 1
      68: q+1
      69: 1
      71: 1
      72: q+1
      73: 1
      75: 1
      76: 1
      78: 1
      84: 1
      85: 1
      88: q+1
      90: 1
      94: 1
      96: 1
      98: 1
      99: 1
     100: 1
     102: 1
     103: 1
     106: 1
     109: 1
     113: 1
     115: 1
     117: 1
     119: 1
     120: q+1
     121: 1
     123: 1
     126: 1
     128: 1
     130: 1
     138: 1
     142: 1
     150: 1
     152: 1
     156: 1
     157: 1
     160: 1
     161: 1
     162: q+1
     164: 1
     168: 1
     171: 1
     175: 1
     179: 1
     183: 1
     185: 1
     188: 1
     194: 1
     202: 1
     204: 1
     208: 1
     234: 1
     238: 1
     240: 1
     243: 1
     245: 1
     247: 1
     249: 1
     253: 1
     257: 1
     282: 1
     286: 1
     290: 1
     300: 1
     303: 1
     307: 1
     327: 1
     339: 1
     343: 1
     360: 1
     396: 1
     415: 1
     433: 1
     501: 1

502:   0: q+1
       1: 1
       3: q+1
       4: q+1
       5: 1
       6: 1
       7: 1
       9: 1
      10: 1
      11: q+1
      13: q+1
      15: 1
      16: 1
      17: 1
      18: q+1
      19: 1
      20: 1
      21: 1
      25: 1
      26: 1
      27: q+1
      28: 1
      29: 1
      31: q+1
      32: 1
      34: 1
      35: q+1
      36: 1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      45: 1
      46: 1
      49: q+1
      51: 1
      55: 1
      56: 1
      57: 1
      58: 1
      62: 1
      65: 1
      67: 1
      68: q+1
      69: 1
      71: 1
      72: q+1
      73: 1
      75: 1
      77: 1
      79: 1
      84: 1
      85: 1
      89: q+1
      91: 1
      95: 1
      96: 1
      98: 1
      99: 1
     100: 1
     102: 1
     103: 1
     106: 1
     109: 1
     113: 1
     115: 1
     117: 1
     119: 1
     120: q+1
     121: 1
     123: 1
     127: 1
     129: 1
     131: 1
     139: 1
     143: 1
     150: 1
     152: 1
     156: 1
     157: 1
     160: 1
     161: 1
     163: q+1
     165: 1
     169: 1
     171: 1
     175: 1
     179: 1
     183: 1
     185: 1
     189: 1
     195: 1
     203: 1
     205: 1
     209: 1
     235: 1
     239: 1
     240: 1
     243: 1
     245: 1
     247: 1
     249: 1
     253: 1
     257: 1
     283: 1
     287: 1
     291: 1
     300: 1
     304: 1
     308: 1
     328: 1
     339: 1
     343: 1
     361: 1
     397: 1
     416: 1
     433: 1
     502: 1

503:   0: 1
       1: 1
       2: q+1
       3: 1
       4: q+1
       5: 1
       6: 1
       7: q+1
       8: q^3+q^2+2q+1
       9: 1
      10: q+1
      12: q^3+q^2+2q+1
      15: 1
      16: 1
      17: q+1
      19: 1
      20: 1
      21: q+1
      23: 1
      24: q+1
      27: 1
      28: 1
      29: 1
      30: q^3+q^2+2q+1
      31: 1
      32: 1
      33: q+1
      34: 1
      35: 1
      36: 1
      37: q+1
      38: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      48: 1
      50: 1
      52: q+1
      54: 1
      56: 1
      57: 1
      58: q+1
      60: 1
      61: q+1
      64: 1
      66: q+1
      68: 1
      69: 1
      70: q+1
      71: 1
      72: 1
      73: 1
      74: q+1
      75: 1
      76: 1
      78: 1
      80: 1
      84: 1
      86: 1
      87: 1
      88: 1
      90: 1
      92: q+1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: q+1
     108: 1
     110: q+1
     112: 1
     114: 1
     116: 1
     118: 1
     122: q+1
     124: 1
     126: 1
     128: 1
     130: 1
     132: 1
     136: 1
     140: 1
     146: 1
     147: 1
     148: 1
     152: 1
     153: 1
     154: 1
     157: 1
     158: 1
     166: q+1
     170: 1
     172: q+1
     174: 1
     176: 1
     178: 1
     180: 1
     184: 1
     190: 1
     192: 1
     194: 1
     200: 1
     206: 1
     210: 1
     217: 1
     219: 1
     225: 1
     229: 1
     236: 1
     246: 1
     248: 1
     250: 1
     252: 1
     254: 1
     258: 1
     266: 1
     270: 1
     288: 1
     292: 1
     305: 1
     314: 1
     320: 1
     329: 1
     340: 1
     344: 1
     352: 1
     398: 1
     417: 1
     434: 1
     503: 1

504:   0: 1
       1: 1
       2: q+1
       3: 1
       4: q+1
       5: 1
       6: 1
       7: q+1
       8: q^3+q^2+2q+1
       9: 1
      10: q+1
      12: q^3+q^2+2q+1
      15: 1
      16: 1
      17: q+1
      19: 1
      20: 1
      21: q+1
      23: 1
      24: q+1
      27: 1
      28: 1
      29: 1
      30: q^3+q^2+2q+1
      31: 1
      32: 1
      33: q+1
      34: 1
      35: 1
      36: 1
      37: q+1
      38: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      49: 1
      51: 1
      53: q+1
      55: 1
      56: 1
      57: 1
      58: q+1
      60: 1
      61: q+1
      64: 1
      66: q+1
      68: 1
      69: 1
      70: q+1
      71: 1
      72: 1
      73: 1
      74: q+1
      75: 1
      77: 1
      79: 1
      81: 1
      84: 1
      86: 1
      87: 1
      89: 1
      91: 1
      93: q+1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: q+1
     108: 1
     110: q+1
     112: 1
     114: 1
     116: 1
     118: 1
     122: q+1
     125: 1
     127: 1
     129: 1
     131: 1
     133: 1
     137: 1
     141: 1
     146: 1
     147: 1
     148: 1
     152: 1
     153: 1
     154: 1
     157: 1
     158: 1
     167: q+1
     170: 1
     172: q+1
     174: 1
     176: 1
     178: 1
     180: 1
     184: 1
     191: 1
     193: 1
     195: 1
     201: 1
     207: 1
     211: 1
     217: 1
     219: 1
     225: 1
     229: 1
     237: 1
     246: 1
     248: 1
     250: 1
     252: 1
     254: 1
     258: 1
     267: 1
     271: 1
     289: 1
     293: 1
     306: 1
     314: 1
     320: 1
     330: 1
     340: 1
     344: 1
     353: 1
     399: 1
     418: 1
     434: 1
     504: 1

505:   1: q+1
       5: q+1
       6: q+1
       7: q+1
       9: q+1
      10: q+1
      11: 1
      13: 1
      14: q+1
      15: q+1
      16: q+1
      17: q+1
      18: 1
      22: 1
      25: 1
      26: 1
      28: q+1
      29: q+1
      32: q+1
      34: q+1
      36: q+1
      38: q+1
      39: 1
      40: q+1
      42: q+1
      45: q+1
      50: q+1
      54: q+1
      59: 1
      63: 1
      65: 1
      67: 1
      69: q+1
      71: q+1
      73: q+1
      75: q+1
      76: q+1
      85: 1
      90: q+1
      94: q+1
      98: q+1
     102: q+1
     107: 1
     111: 1
     113: 1
     115: 1
     117: 1
     119: 1
     121: q+1
     123: q+1
     126: q+1
     138: 1
     142: 1
     150: 1
     156: 1
     160: q+1
     164: q+1
     168: q+1
     173: 1
     177: 1
     181: 1
     183: 1
     185: 1
     188: 1
     202: q+1
     212: 1
     234: 1
     238: 1
     240: 1
     245: 1
     247: 1
     251: 1
     255: 1
     259: 1
     282: 1
     294: 1
     300: 1
     303: 1
     307: 1
     331: 1
     341: 1
     345: 1
     360: 1
     400: 1
     419: 1
     435: 1
     505: 1

506:   1: q+1
       5: q+1
       6: q+1
       7: q+1
       9: q+1
      10: q+1
      11: 1
      13: 1
      14: q+1
      15: q+1
      16: q+1
      17: q+1
      18: 1
      22: 1
      25: 1
      26: 1
      28: q+1
      29: q+1
      32: q+1
      34: q+1
      36: q+1
      38: q+1
      39: 1
      40: q+1
      42: q+1
      45: q+1
      51: q+1
      55: q+1
      59: 1
      63: 1
      65: 1
      67: 1
      69: q+1
      71: q+1
      73: q+1
      75: q+1
      77: q+1
      85: 1
      91: q+1
      95: q+1
      98: q+1
     102: q+1
     107: 1
     111: 1
     113: 1
     115: 1
     117: 1
     119: 1
     121: q+1
     123: q+1
     127: q+1
     139: 1
     143: 1
     150: 1
     156: 1
     160: q+1
     165: q+1
     169: q+1
     173: 1
     177: 1
     181: 1
     183: 1
     185: 1
     189: 1
     203: q+1
     213: 1
     235: 1
     239: 1
     240: 1
     245: 1
     247: 1
     251: 1
     255: 1
     259: 1
     283: 1
     295: 1
     300: 1
     304: 1
     308: 1
     332: 1
     341: 1
     345: 1
     361: 1
     401: 1
     420: 1
     435: 1
     506: 1

507:   0: 2
       1: 2
       3: 2
       4: 2
       5: 2
       6: 2
       7: 2
       9: 2
      10: 2
      11: q^2+q+1
      13: q^2+q+1
      14: q^2+q+1
      15: 2
      16: 2
      17: 2
      18: q^2+q+1
      19: 2
      20: 2
      21: 2
      22: q^2+q+1
      25: 1
      26: 1
      27: 2
      28: 2
      29: 2
      31: 2
      32: 2
      34: 2
      35: 2
      36: 2
      38: 2
      39: 1
      40: 2
      41: 2
      42: 2
      43: 2
      45: 2
      46: 2
      48: 1
      49: 1
      50: 1
      51: 1
      54: 1
      55: 1
      56: 2
      57: 2
      58: 2
      59: q^2+q+1
      62: 1
      63: 1
      65: 1
      67: 1
      68: 2
      69: 2
      71: 2
      72: 2
      73: 2
      75: 2
      76: 1
      77: 1
      78: 1
      79: 1
      82: 1
      84: 2
      85: 1
      88: 1
      89: 1
      90: 1
      91: 1
      94: 1
      95: 1
      96: 2
      98: 2
      99: 2
     100: 2
     102: 2
     103: 2
     106: 1
     107: 1
     109: 1
     111: 1
     113: 1
     115: 1
     117: 1
     119: 1
     120: 2
     121: 2
     123: 2
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     134: 1
     144: 1
     150: 1
     152: 2
     156: 1
     157: 2
     160: 2
     161: 2
     162: 1
     163: 1
     164: 1
     165: 1
     168: 1
     169: 1
     171: 1
     173: 1
     175: 1
     177: 1
     179: 1
     181: 1
     183: 1
     185: 1
     194: 1
     195: 1
     202: 1
     203: 1
     204: 1
     205: 1
     215: 1
     222: 1
     227: 1
     240: 1
     243: 2
     245: 1
     247: 1
     249: 1
     251: 1
     253: 1
     255: 1
     257: 1
     259: 1
     286: 1
     287: 1
     300: 1
     310: 1
     318: 1
     334: 1
     339: 1
     341: 1
     343: 1
     345: 1
     393: 1
     422: 1
     433: 1
     435: 1
     507: 1

508:   0: 3q^2+5q+2
       1: 3q+2
       2: 2q^2+4q+2
       3: 3q^2+5q+2
       4: 2q^2+4q+2
       5: 3q+2
       6: 3q+2
       7: 2q+2
       8: 2q+2
       9: 3q+2
      10: 2q+2
      11: 2q^2+3q+1
      12: 2q+2
      13: 2q^2+3q+1
      15: 3q+2
      16: 3q+2
      17: 2q+2
      18: 2q^2+3q+1
      19: 3q+2
      20: 3q+2
      21: 2q+2
      23: q^2+3q+2
      24: 2q+2
      25: 3q+1
      26: 3q+1
      27: 3q^2+5q+2
      28: 3q+2
      29: 3q+2
      30: 2q+2
      31: q^2+3q+2
      32: q+2
      33: 2q+2
      34: q+2
      35: q^2+3q+2
      36: q+2
      37: 2q+2
      38: q+2
      39: 3q+1
      40: 3q+2
      41: 3q+2
      42: q+2
      43: q+2
      44: 2q+2
      45: q+2
      46: q+2
      47: 2q+2
      48: q+1
      49: q+1
      50: 1
      51: 1
      52: q+1
      53: q+1
      54: 1
      55: 1
      56: 3q+2
      57: 3q+2
      58: 2q+2
      60: q+2
      61: 2
      62: 3q+1
      64: q^2+3q+2
      65: 3q+1
      66: 2q+2
      67: 3q+1
      68: q^2+3q+2
      69: q+2
      70: 2q+2
      71: q+2
      72: q^2+3q+2
      73: q+2
      74: 2q+2
      75: q+2
      76: 1
      77: 1
      78: 1
      79: 1
      80: q+1
      81: q+1
      83: q+1
      84: 3q+2
      85: 3q+1
      86: 2q+2
      87: 2q+2
      88: q+1
      89: q+1
      90: 1
      91: 1
      92: q+1
      93: q+1
      94: 1
      95: 1
      96: q+2
      97: 2
      98: q+2
      99: q+2
     100: q+2
     101: 2
     102: q+2
     103: q+2
     104: q+2
     105: 2
     106: 3q+1
     108: q+2
     109: 3q+1
     110: 2
     112: q+1
     113: q+1
     114: q+1
     115: q+1
     116: q+1
     117: q+1
     118: q+1
     119: q+1
     120: 2q+2
     121: 2
     123: 2
     124: q+1
     125: q+1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 1
     135: q+1
     145: q+1
     146: 2
     147: 2
     148: 2
     149: 1
     150: q+1
     152: q+2
     153: q+1
     154: 2
     155: 1
     156: q+1
     157: q+2
     158: q+1
     160: 2
     161: 2
     162: q+1
     163: q+1
     164: 1
     165: 1
     168: 1
     169: 1
     170: q+2
     171: 3q+1
     172: 2
     174: 1
     175: q+1
     176: 1
     178: 1
     179: q+1
     180: 1
     182: q+1
     183: 1
     185: 1
     192: 1
     193: 1
     194: 1
     195: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     216: q+1
     217: 2
     218: 1
     219: 2
     220: 1
     221: 1
     223: 1
     225: 1
     226: 1
     228: 1
     229: 1
     231: 1
     240: 1
     243: 2
     244: q+1
     245: 1
     247: 1
     248: 1
     249: q+1
     250: 1
     252: 1
     253: q+1
     254: 1
     256: 1
     257: 1
     270: 1
     271: 1
     286: 1
     287: 1
     297: 1
     298: 1
     299: 1
     300: 1
     311: 1
     314: 1
     315: 1
     319: 1
     320: 1
     321: 1
     333: 1
     335: 1
     338: 1
     339: 1
     342: 1
     343: 1
     392: 1
     402: 1
     405: 1
     409: 1
     423: 1
     432: 1
     433: 1
     508: 1

509:   0: q^2+6q+2
       1: q^2+3q+2
       2: q^2+6q+2
       3: q^2+3q+2
       4: q^2+6q+2
       6: q+2
       7: q^2+3q+2
       8: q^2+6q+2
      11: q+2
      12: q^3+4q^2+5q+2
      19: 3q+2
      20: q+2
      21: 3q+2
      23: q^2+6q+2
      24: q^2+6q+2
      25: q+2
      27: 3q+2
      28: q+2
      30: q^2+5q+2
      31: q^2+6q+2
      32: q^2+3q+2
      33: q^2+6q+2
      35: 4q+2
      36: 2q+2
      37: 4q+2
      41: q+2
      43: 3q+2
      44: q^2+6q+2
      46: 2q+2
      47: 4q+2
      48: 2q+1
      49: 2q+1
      50: q+1
      51: q+1
      52: 2q+1
      53: 2q+1
      60: 3q+2
      61: 3q+2
      62: q+2
      64: 3q+2
      65: q+2
      66: q^2+5q+2
      68: 3q+2
      69: q+2
      70: q^2+5q+2
      72: q+2
      73: 2
      74: 3q+2
      78: q+1
      79: q+1
      80: 2q+1
      81: 2q+1
      83: q+2
      86: q+2
      87: 2q+2
      88: 1
      89: 1
      90: 1
      91: 1
      92: q+1
      93: q+1
      97: 3q+2
      99: q+2
     101: 2q+2
     103: 2
     108: 2
     109: 2
     110: 2q+2
     112: 3q+2
     113: q+2
     114: q^2+5q+2
     116: q+2
     117: 2
     118: 3q+2
     120: q+2
     121: 2
     122: 3q+2
     124: 1
     125: 1
     128: 1
     129: 1
     132: q+1
     133: q+1
     136: 1
     137: 1
     138: 1
     139: 1
     140: q+1
     141: q+1
     145: 2
     146: 2
     147: 2
     149: q+2
     151: q+2
     153: 2q+2
     155: 2
     158: q+2
     161: 2
     162: 1
     163: 1
     164: 1
     165: 1
     166: q+1
     167: q+1
     174: 2
     175: 2
     176: 2q+2
     178: 1
     179: 1
     180: q+1
     182: q+2
     183: 2
     184: 3q+2
     186: 1
     187: 1
     190: 1
     191: 1
     192: 1
     193: 1
     196: 1
     197: 1
     204: 1
     205: 1
     218: 2
     220: 2
     223: 2
     224: 2
     225: 2
     228: 1
     229: 1
     231: 2
     232: 1
     233: 1
     234: 1
     235: 1
     236: q+1
     237: q+1
     241: q+2
     244: 2
     246: 2
     256: 1
     257: 1
     258: q+1
     268: 1
     269: 1
     272: 1
     273: 1
     274: 1
     275: 1
     280: 1
     281: 1
     301: 1
     302: 1
     305: 1
     306: 1
     313: 2
     315: 2
     316: 2
     321: 1
     335: 1
     336: 1
     338: 1
     340: 1
     362: 1
     363: 1
     368: 1
     369: 1
     407: 1
     425: 1
     428: 1
     430: 1
     509: 1

510:   0: q+2
       1: q+2
       2: q+2
       3: q^2+2q+1
       4: q+2
       5: q^3+2
       6: q^2+2q+1
       7: q+2
       8: q+2
       9: q+1
      10: q^3+2
      11: q^2+2q+1
      12: q+1
      13: q+1
      14: q+1
      15: 2
      16: q+1
      17: 2
      18: q+1
      19: q+2
      20: q^2+2q+1
      21: q+2
      22: q+1
      23: q+2
      24: q+2
      25: q^2+2q+1
      26: q+1
      27: q+1
      28: q+1
      29: 1
      30: 1
      31: q+2
      32: q+2
      33: q+2
      34: q^3+2
      35: 2
      36: 2
      37: 2
      38: 2
      39: q+1
      40: 1
      41: q+1
      42: 2
      43: q+2
      44: q+2
      45: 2
      46: 2
      47: 2
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 2
      57: q+1
      58: 2
      59: q+1
      60: q+2
      61: q+2
      62: q^2+2q+1
      63: q+1
      64: q+1
      65: q+1
      66: 1
      67: 1
      68: q+1
      69: q+1
      70: 1
      71: 1
      72: 1
      73: 1
      74: 1
      75: 1
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: 1
      82: q+1
      83: q+1
      84: 1
      85: 1
      86: 1
      96: 2
      97: q+2
      98: 1
      99: q+1
     100: 2
     101: 2
     102: 1
     103: 1
     104: 2
     105: 2
     106: q+1
     107: q+1
     108: q+1
     109: q+1
     110: 1
     111: 1
     112: q+1
     113: q+1
     114: 1
     115: 1
     116: 1
     117: 1
     118: 1
     119: 1
     120: 1
     121: 1
     122: 1
     123: 1
     130: 1
     131: 1
     132: 1
     133: 1
     134: q+1
     135: 1
     144: 1
     145: q+1
     146: 1
     148: 2
     149: q+1
     150: 1
     151: 1
     152: 1
     154: 2
     155: 1
     156: 1
     157: 1
     158: 1
     160: 1
     161: 1
     170: 1
     171: 1
     172: 1
     173: 1
     174: q+1
     175: q+1
     176: 1
     177: 1
     178: 1
     179: 1
     180: 1
     181: 1
     182: 1
     183: 1
     184: 1
     185: 1
     200: 1
     201: 1
     214: 1
     215: 1
     216: 1
     217: 1
     218: 1
     221: 1
     222: 1
     223: q+1
     224: 1
     226: 1
     227: 1
     228: 1
     229: 1
     231: 1
     240: 1
     241: 1
     243: 1
     248: 1
     249: 1
     250: 1
     251: 1
     256: 1
     257: 1
     258: 1
     259: 1
     296: 1
     297: 1
     309: 1
     310: 1
     311: 1
     312: 1
     313: 1
     317: 1
     321: 1
     333: 1
     334: 1
     335: 1
     336: 1
     390: 1
     403: 1
     404: 1
     421: 1
     425: 1
     510: 1

511:   0: 1
       1: 1
       2: 1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
       8: 1
       9: 1
      10: 1
      11: 1
      12: 1
      13: 1
      14: 1
      15: 1
      16: 1
      17: 1
      18: 1
      19: 1
      20: 1
      21: 1
      22: 1
      23: 1
      24: 1
      25: 1
      26: 1
      27: 1
      28: 1
      29: 1
      30: 1
      31: 1
      32: 1
      33: 1
      34: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: 1
      63: 1
      64: 1
      65: 1
      66: 1
      67: 1
      68: 1
      69: 1
      70: 1
      71: 1
      82: 1
      83: 1
      84: 1
      85: 1
      87: 1
      96: 1
      97: 1
      98: 1
      99: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: 1
     109: 1
     110: 1
     111: 1
     112: 1
     113: 1
     114: 1
     115: 1
     134: 1
     135: 1
     144: 1
     145: 1
     147: 1
     148: 1
     149: 1
     150: 1
     152: 1
     153: 1
     170: 1
     171: 1
     172: 1
     173: 1
     174: 1
     175: 1
     176: 1
     177: 1
     214: 1
     215: 1
     216: 1
     219: 1
     220: 1
     221: 1
     222: 1
     223: 1
     225: 1
     248: 1
     249: 1
     250: 1
     251: 1
     296: 1
     298: 1
     309: 1
     310: 1
     311: 1
     314: 1
     315: 1
     391: 1
     403: 1
     405: 1
     511: 1

512:   0: q^2+2q+2
       1: q^2+q+2
       2: 2q+2
       3: q^2+2q+2
       4: q^2+2q+2
       5: q^2+q+2
       6: q^2+q+2
       7: q^2+q+2
       8: 2q+2
       9: q^2+q+2
      10: q^2+q+2
      11: q^2+q+1
      12: 2q+2
      13: q^2+q+1
      15: q^2+q+2
      16: q^2+q+2
      17: q^2+q+2
      18: q^2+q+1
      19: q+2
      20: q+2
      21: q+2
      23: q+2
      24: q+2
      25: q+1
      26: q+1
      27: q^2+2q+2
      28: q^2+q+2
      29: q^2+q+2
      30: 2q+2
      31: q^2+2q+2
      32: q^2+q+2
      33: 2q+2
      34: q^2+q+2
      35: 2
      36: 2
      37: 2
      38: 2
      39: q+1
      40: q^2+q+2
      41: q+2
      42: q^2+q+2
      43: q+2
      44: q+2
      45: 2
      46: 2
      47: 2
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: q+2
      57: q+2
      58: q+2
      60: 2
      61: 2
      62: q+1
      64: q+2
      65: q+1
      66: q+2
      67: q+1
      68: q^2+2q+2
      69: q^2+q+2
      70: 2q+2
      71: q^2+q+2
      72: 2
      73: 2
      74: 2
      75: 2
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: 1
      83: 1
      84: q+2
      85: q+1
      86: 2
      87: q+2
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: q+2
      97: 2
      98: q^2+q+2
      99: q+2
     100: 2
     101: 2
     102: 2
     103: 2
     104: 2
     105: 2
     106: q+1
     108: 2
     109: q+1
     110: 2
     112: q+2
     113: q+1
     114: q+2
     115: q+1
     116: 1
     117: 1
     118: 1
     119: 1
     120: 2
     121: 2
     122: 2
     123: 2
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 1
     135: 1
     145: 1
     146: 2
     147: 2
     148: 2
     149: 1
     150: q+1
     151: 2
     152: q+2
     153: q+2
     154: 2
     155: 1
     156: 1
     157: 2
     158: 1
     160: 2
     161: 2
     162: 1
     163: 1
     164: 1
     165: 1
     166: 1
     167: 1
     168: 1
     169: 1
     170: 2
     171: q+1
     172: 2
     174: 2
     175: q+1
     176: 2
     182: 1
     183: 1
     184: 1
     185: 1
     192: 1
     193: 1
     194: 1
     195: 1
     196: 1
     197: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     216: 1
     217: 2
     218: 1
     219: 2
     220: 1
     221: 1
     223: 1
     224: 2
     225: 2
     226: 1
     231: 1
     240: 1
     241: 1
     243: 2
     244: 1
     245: 1
     246: 1
     247: 1
     248: 2
     249: q+1
     250: 2
     270: 1
     271: 1
     274: 1
     275: 1
     286: 1
     287: 1
     297: 1
     298: 1
     299: 1
     300: 1
     311: 1
     312: 2
     313: 1
     314: 2
     315: 1
     316: 1
     333: 1
     366: 1
     367: 1
     392: 1
     404: 1
     405: 1
     406: 1
     512: 1

513:   0: q+2
       1: q+2
       2: q^2+3q+2
       3: q+2
       4: q+2
       5: q+2
       6: q+2
       7: q+2
       8: q^2+3q+2
       9: q+2
      10: q+2
      12: q^2+3q+2
      15: q+2
      16: q+2
      17: q+2
      19: q+2
      20: q+2
      21: q+2
      23: 2
      24: 2
      27: q+2
      28: q+2
      29: q+2
      30: q^2+3q+2
      31: q+2
      32: q+2
      33: q^2+3q+2
      34: q+2
      35: 2
      36: 2
      37: 2q+2
      38: 2
      40: q+2
      41: q+2
      42: q+2
      43: q+2
      44: 2
      45: 2
      46: 2
      47: 2
      48: 1
      49: 1
      50: 1
      51: 1
      52: q+1
      53: q+1
      54: 1
      55: 1
      56: q+2
      57: q+2
      58: q+2
      60: 2
      61: 2
      64: 2
      66: 2
      68: q+2
      69: q+2
      70: q^2+3q+2
      71: q+2
      72: 2
      73: 2
      74: 2q+2
      75: 2
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: 1
      84: q+2
      86: 2
      87: 2
      88: 1
      89: 1
      90: 1
      91: 1
      92: q+1
      93: q+1
      94: 1
      95: 1
      96: q+2
      97: 2
      98: q+2
      99: q+2
     100: 2
     101: 2
     102: 2
     103: 2
     104: 2
     105: 2
     108: 2
     110: 2
     112: 2
     114: 2
     116: 1
     118: 1
     120: 2
     121: 2
     122: 2q+2
     123: 2
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 1
     146: 2
     147: 2
     148: 2
     151: 2
     152: q+2
     153: 2
     154: 2
     157: 2
     158: 1
     160: 2
     161: 2
     162: 1
     163: 1
     164: 1
     165: 1
     166: q+1
     167: q+1
     168: 1
     169: 1
     170: 2
     172: 2
     174: 2
     176: 2
     178: 1
     180: 1
     182: 1
     184: 1
     192: 1
     193: 1
     194: 1
     195: 1
     196: 1
     197: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     217: 2
     219: 2
     224: 2
     225: 2
     229: 1
     241: 1
     243: 2
     244: 1
     246: 1
     248: 2
     250: 2
     252: 1
     254: 1
     256: 1
     258: 1
     270: 1
     271: 1
     274: 1
     275: 1
     286: 1
     287: 1
     312: 2
     314: 2
     316: 1
     320: 1
     336: 1
     338: 1
     340: 1
     342: 1
     344: 1
     366: 1
     367: 1
     407: 1
     424: 1
     432: 1
     434: 1
     513: 1

514:   0: q+2
       1: q+2
       2: q+2
       3: q+2
       4: q+2
       6: q+2
       7: q+2
       8: q+2
      11: q^2+q+1
      12: q+2
      19: q+2
      20: q+2
      21: q+2
      23: 2
      24: 2
      25: q+1
      27: q+2
      28: q+2
      30: q+2
      31: q+2
      32: q+2
      33: q+2
      35: 2
      36: 2
      37: 2
      41: q+2
      43: q+2
      44: 2
      46: 2
      47: 2
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      60: 2
      61: 2
      62: q+1
      64: 2
      65: q+1
      66: 2
      68: q+2
      69: q+2
      70: q+2
      72: 2
      73: 2
      74: 2
      78: 1
      79: 1
      80: 1
      81: 1
      83: 1
      86: 2
      87: 2
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 1
      97: 2
      99: q+2
     101: 2
     103: 2
     108: 2
     109: q+1
     110: 2
     112: 2
     113: q+1
     114: 2
     116: 1
     117: 1
     118: 1
     120: 2
     121: 2
     122: 2
     124: 1
     125: 1
     128: 1
     129: 1
     132: 1
     133: 1
     145: 1
     146: 2
     147: 2
     149: 1
     151: 2
     153: 2
     155: 1
     158: 1
     161: 2
     162: 1
     163: 1
     164: 1
     165: 1
     166: 1
     167: 1
     174: 2
     175: q+1
     176: 2
     178: 1
     179: 1
     180: 1
     182: 1
     183: 1
     184: 1
     192: 1
     193: 1
     196: 1
     197: 1
     204: 1
     205: 1
     218: 1
     220: 1
     223: 1
     224: 2
     225: 2
     228: 1
     229: 1
     231: 1
     241: 1
     244: 1
     245: 1
     246: 1
     256: 1
     257: 1
     258: 1
     274: 1
     275: 1
     299: 1
     313: 1
     315: 1
     316: 1
     321: 1
     335: 1
     336: 1
     338: 1
     339: 1
     340: 1
     402: 1
     406: 1
     407: 1
     425: 1
     514: 1

515:   0: q^2+6q+2
       1: q^2+3q+2
       2: q^2+6q+2
       3: q^2+3q+2
       4: q^2+6q+2
       6: q+2
       7: q^2+3q+2
       8: q^2+6q+2
      11: q+2
      12: q^3+4q^2+5q+2
      19: 3q+2
      20: q+2
      21: 3q+2
      23: q^2+6q+2
      24: q^2+6q+2
      25: q+2
      27: 3q+2
      28: q+2
      30: q^2+5q+2
      31: 4q+2
      32: 2q+2
      33: 4q+2
      35: q^2+6q+2
      36: q^2+3q+2
      37: q^2+6q+2
      41: q+2
      43: 2q+2
      44: 4q+2
      46: 3q+2
      47: q^2+6q+2
      48: 2q+1
      49: 2q+1
      50: q+1
      51: q+1
      52: 2q+1
      53: 2q+1
      60: 3q+2
      61: 3q+2
      62: q+2
      64: 3q+2
      65: q+2
      66: q^2+5q+2
      68: q+2
      69: 2
      70: 3q+2
      72: 3q+2
      73: q+2
      74: q^2+5q+2
      78: q+1
      79: q+1
      80: 2q+1
      81: 2q+1
      83: q+2
      86: 2q+2
      87: q+2
      88: 1
      89: 1
      90: 1
      91: 1
      92: q+1
      93: q+1
      97: 2q+2
      99: 2
     101: 3q+2
     103: q+2
     108: 2
     109: 2
     110: 2q+2
     112: q+2
     113: 2
     114: 3q+2
     116: 3q+2
     117: q+2
     118: q^2+5q+2
     120: q+2
     121: 2
     122: 3q+2
     124: 1
     125: 1
     128: 1
     129: 1
     132: q+1
     133: q+1
     136: 1
     137: 1
     138: 1
     139: 1
     140: q+1
     141: q+1
     145: 2
     146: 2
     147: 2
     149: 2
     153: q+2
     155: q+2
     158: 2q+2
     159: q+2
     161: 2
     162: 1
     163: 1
     164: 1
     165: 1
     166: q+1
     167: q+1
     174: 1
     175: 1
     176: q+1
     178: 2
     179: 2
     180: 2q+2
     182: q+2
     183: 2
     184: 3q+2
     186: 1
     187: 1
     190: 1
     191: 1
     192: 1
     193: 1
     198: 1
     199: 1
     204: 1
     205: 1
     218: 2
     220: 2
     223: 1
     225: 1
     228: 2
     229: 2
     230: 2
     231: 2
     232: 1
     233: 1
     234: 1
     235: 1
     236: q+1
     237: q+1
     242: q+2
     244: 2
     246: 2
     256: 1
     257: 1
     258: q+1
     268: 1
     269: 1
     276: 1
     277: 1
     278: 1
     279: 1
     280: 1
     281: 1
     301: 1
     302: 1
     305: 1
     306: 1
     315: 1
     321: 2
     323: 2
     324: 2
     335: 1
     337: 1
     338: 1
     340: 1
     370: 1
     371: 1
     376: 1
     377: 1
     412: 1
     427: 1
     428: 1
     430: 1
     515: 1

516:   0: 1
       1: 1
       2: 1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
       8: 1
       9: 1
      10: 1
      11: 1
      12: 1
      13: 1
      14: 1
      15: 1
      16: 1
      17: 1
      18: 1
      19: 1
      20: 1
      21: 1
      22: 1
      23: 1
      24: 1
      25: 1
      26: 1
      27: 1
      28: 1
      29: 1
      30: 1
      35: 1
      36: 1
      37: 1
      38: 1
      39: 1
      40: 1
      41: 1
      45: 1
      46: 1
      47: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: 1
      63: 1
      64: 1
      65: 1
      66: 1
      67: 1
      72: 1
      73: 1
      74: 1
      75: 1
      82: 1
      83: 1
      84: 1
      85: 1
      86: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: 1
     109: 1
     110: 1
     111: 1
     116: 1
     117: 1
     118: 1
     119: 1
     134: 1
     135: 1
     144: 1
     145: 1
     146: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     170: 1
     171: 1
     172: 1
     173: 1
     178: 1
     179: 1
     180: 1
     181: 1
     214: 1
     215: 1
     216: 1
     217: 1
     218: 1
     226: 1
     227: 1
     228: 1
     229: 1
     252: 1
     253: 1
     254: 1
     255: 1
     296: 1
     297: 1
     317: 1
     318: 1
     319: 1
     320: 1
     321: 1
     390: 1
     408: 1
     409: 1
     516: 1

517:   0: q+2
       1: q+2
       2: q+2
       3: q^2+2q+1
       4: q+2
       5: q^3+2
       6: q^2+2q+1
       7: q+2
       8: q+2
       9: q+1
      10: q^3+2
      11: q^2+2q+1
      12: q+1
      13: q+1
      14: q+1
      15: 2
      16: q+1
      17: 2
      18: q+1
      19: q+2
      20: q^2+2q+1
      21: q+2
      22: q+1
      23: q+2
      24: q+2
      25: q^2+2q+1
      26: q+1
      27: q+1
      28: q+1
      29: 1
      30: 1
      31: 2
      32: 2
      33: 2
      34: 2
      35: q+2
      36: q+2
      37: q+2
      38: q^3+2
      39: q+1
      40: 1
      41: q+1
      42: 2
      43: 2
      44: 2
      45: 2
      46: q+2
      47: q+2
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 2
      57: q+1
      58: 2
      59: q+1
      60: q+2
      61: q+2
      62: q^2+2q+1
      63: q+1
      64: q+1
      65: q+1
      66: 1
      67: 1
      68: 1
      69: 1
      70: 1
      71: 1
      72: q+1
      73: q+1
      74: 1
      75: 1
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: 1
      82: q+1
      83: q+1
      84: 1
      85: 1
      87: 1
      96: 2
      97: 2
      98: 1
      99: 1
     100: 2
     101: q+2
     102: 1
     103: q+1
     104: 2
     105: 2
     106: q+1
     107: q+1
     108: q+1
     109: q+1
     110: 1
     111: 1
     112: 1
     113: 1
     114: 1
     115: 1
     116: q+1
     117: q+1
     118: 1
     119: 1
     120: 1
     121: 1
     122: 1
     123: 1
     130: 1
     131: 1
     132: 1
     133: 1
     134: q+1
     135: 1
     144: 1
     145: q+1
     147: 1
     148: 2
     149: 1
     150: 1
     152: 1
     153: 1
     154: 2
     155: q+1
     156: 1
     157: 1
     159: 1
     160: 1
     161: 1
     170: 1
     171: 1
     172: 1
     173: 1
     174: 1
     175: 1
     176: 1
     177: 1
     178: q+1
     179: q+1
     180: 1
     181: 1
     182: 1
     183: 1
     184: 1
     185: 1
     200: 1
     201: 1
     214: 1
     215: 1
     216: 1
     219: 1
     220: 1
     221: 1
     222: 1
     223: 1
     225: 1
     226: 1
     227: 1
     228: q+1
     230: 1
     231: 1
     240: 1
     242: 1
     243: 1
     252: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     258: 1
     259: 1
     296: 1
     298: 1
     309: 1
     315: 1
     317: 1
     318: 1
     319: 1
     322: 1
     323: 1
     333: 1
     334: 1
     335: 1
     337: 1
     391: 1
     408: 1
     410: 1
     421: 1
     427: 1
     517: 1

518:   0: q^2+2q+2
       1: q^2+q+2
       2: 2q+2
       3: q^2+2q+2
       4: q^2+2q+2
       5: q^2+q+2
       6: q^2+q+2
       7: q^2+q+2
       8: 2q+2
       9: q^2+q+2
      10: q^2+q+2
      11: q^2+q+1
      12: 2q+2
      13: q^2+q+1
      15: q^2+q+2
      16: q^2+q+2
      17: q^2+q+2
      18: q^2+q+1
      19: q+2
      20: q+2
      21: q+2
      23: q+2
      24: q+2
      25: q+1
      26: q+1
      27: q^2+2q+2
      28: q^2+q+2
      29: q^2+q+2
      30: 2q+2
      31: 2
      32: 2
      33: 2
      34: 2
      35: q^2+2q+2
      36: q^2+q+2
      37: 2q+2
      38: q^2+q+2
      39: q+1
      40: q^2+q+2
      41: q+2
      42: 2
      43: 2
      44: 2
      45: q^2+q+2
      46: q+2
      47: q+2
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: q+2
      57: q+2
      58: q+2
      60: 2
      61: 2
      62: q+1
      64: q+2
      65: q+1
      66: q+2
      67: q+1
      68: 2
      69: 2
      70: 2
      71: 2
      72: q^2+2q+2
      73: q^2+q+2
      74: 2q+2
      75: q^2+q+2
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: 1
      83: 1
      84: q+2
      85: q+1
      86: q+2
      87: 2
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 2
      97: 2
      98: 2
      99: 2
     100: q+2
     101: 2
     102: q^2+q+2
     103: q+2
     104: 2
     105: 2
     106: q+1
     108: 2
     109: q+1
     110: 2
     112: 1
     113: 1
     114: 1
     115: 1
     116: q+2
     117: q+1
     118: q+2
     119: q+1
     120: 2
     121: 2
     122: 2
     123: 2
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 1
     135: 1
     145: 1
     146: 2
     147: 2
     148: 2
     149: 1
     150: 1
     152: 2
     153: 1
     154: 2
     155: 1
     156: q+1
     157: q+2
     158: q+2
     159: 2
     160: 2
     161: 2
     162: 1
     163: 1
     164: 1
     165: 1
     166: 1
     167: 1
     168: 1
     169: 1
     170: 2
     171: q+1
     172: 2
     178: 2
     179: q+1
     180: 2
     182: 1
     183: 1
     184: 1
     185: 1
     192: 1
     193: 1
     194: 1
     195: 1
     198: 1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     216: 1
     217: 2
     218: 1
     219: 2
     220: 1
     221: 1
     226: 1
     228: 1
     229: 2
     230: 2
     231: 1
     240: 1
     242: 1
     243: 2
     244: 1
     245: 1
     246: 1
     247: 1
     252: 2
     253: q+1
     254: 2
     270: 1
     271: 1
     278: 1
     279: 1
     286: 1
     287: 1
     297: 1
     298: 1
     299: 1
     300: 1
     319: 1
     320: 2
     321: 1
     322: 2
     323: 1
     324: 1
     333: 1
     374: 1
     375: 1
     392: 1
     409: 1
     410: 1
     411: 1
     518: 1

519:   0: q+2
       1: q+2
       2: q^2+3q+2
       3: q+2
       4: q+2
       5: q+2
       6: q+2
       7: q+2
       8: q^2+3q+2
       9: q+2
      10: q+2
      12: q^2+3q+2
      15: q+2
      16: q+2
      17: q+2
      19: q+2
      20: q+2
      21: q+2
      23: 2
      24: 2
      27: q+2
      28: q+2
      29: q+2
      30: q^2+3q+2
      31: 2
      32: 2
      33: 2q+2
      34: 2
      35: q+2
      36: q+2
      37: q^2+3q+2
      38: q+2
      40: q+2
      41: q+2
      42: 2
      43: 2
      44: 2
      45: q+2
      46: q+2
      47: 2
      48: 1
      49: 1
      50: 1
      51: 1
      52: q+1
      53: q+1
      54: 1
      55: 1
      56: q+2
      57: q+2
      58: q+2
      60: 2
      61: 2
      64: 2
      66: 2
      68: 2
      69: 2
      70: 2q+2
      71: 2
      72: q+2
      73: q+2
      74: q^2+3q+2
      75: q+2
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: 1
      84: q+2
      86: 2
      87: 2
      88: 1
      89: 1
      90: 1
      91: 1
      92: q+1
      93: q+1
      94: 1
      95: 1
      96: 2
      97: 2
      98: 2
      99: 2
     100: q+2
     101: 2
     102: q+2
     103: q+2
     104: 2
     105: 2
     108: 2
     110: 2
     112: 1
     114: 1
     116: 2
     118: 2
     120: 2
     121: 2
     122: 2q+2
     123: 2
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 1
     146: 2
     147: 2
     148: 2
     152: 2
     153: 1
     154: 2
     157: q+2
     158: 2
     159: 2
     160: 2
     161: 2
     162: 1
     163: 1
     164: 1
     165: 1
     166: q+1
     167: q+1
     168: 1
     169: 1
     170: 2
     172: 2
     174: 1
     176: 1
     178: 2
     180: 2
     182: 1
     184: 1
     192: 1
     193: 1
     194: 1
     195: 1
     198: 1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     217: 2
     219: 2
     225: 1
     229: 2
     230: 2
     242: 1
     243: 2
     244: 1
     246: 1
     248: 1
     250: 1
     252: 2
     254: 2
     256: 1
     258: 1
     270: 1
     271: 1
     278: 1
     279: 1
     286: 1
     287: 1
     314: 1
     320: 2
     322: 2
     324: 1
     337: 1
     338: 1
     340: 1
     342: 1
     344: 1
     374: 1
     375: 1
     412: 1
     426: 1
     432: 1
     434: 1
     519: 1

520:   0: q+2
       1: q+2
       2: q+2
       3: q+2
       4: q+2
       6: q+2
       7: q+2
       8: q+2
      11: q^2+q+1
      12: q+2
      19: q+2
      20: q+2
      21: q+2
      23: 2
      24: 2
      25: q+1
      27: q+2
      28: q+2
      30: q+2
      31: 2
      32: 2
      33: 2
      35: q+2
      36: q+2
      37: q+2
      41: q+2
      43: 2
      44: 2
      46: q+2
      47: 2
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      60: 2
      61: 2
      62: q+1
      64: 2
      65: q+1
      66: 2
      68: 2
      69: 2
      70: 2
      72: q+2
      73: q+2
      74: q+2
      78: 1
      79: 1
      80: 1
      81: 1
      83: 1
      86: 2
      87: 2
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 1
      97: 2
      99: 2
     101: 2
     103: q+2
     108: 2
     109: q+1
     110: 2
     112: 1
     113: 1
     114: 1
     116: 2
     117: q+1
     118: 2
     120: 2
     121: 2
     122: 2
     124: 1
     125: 1
     128: 1
     129: 1
     132: 1
     133: 1
     145: 1
     146: 2
     147: 2
     149: 1
     153: 1
     155: 1
     158: 2
     159: 2
     161: 2
     162: 1
     163: 1
     164: 1
     165: 1
     166: 1
     167: 1
     174: 1
     175: 1
     176: 1
     178: 2
     179: q+1
     180: 2
     182: 1
     183: 1
     184: 1
     192: 1
     193: 1
     198: 1
     199: 1
     204: 1
     205: 1
     218: 1
     220: 1
     223: 1
     225: 1
     228: 1
     229: 2
     230: 2
     231: 1
     242: 1
     244: 1
     245: 1
     246: 1
     256: 1
     257: 1
     258: 1
     278: 1
     279: 1
     299: 1
     315: 1
     321: 1
     323: 1
     324: 1
     335: 1
     337: 1
     338: 1
     339: 1
     340: 1
     402: 1
     411: 1
     412: 1
     427: 1
     520: 1

521:   0: 2
       1: 2
       2: 2
       3: 2q+1
       4: 2
       5: 2
       6: 2q+1
       7: 2
       8: 2
       9: 2q+1
      10: 2
      11: 2q+1
      13: 2q+1
      14: 2q+1
      15: 2
      16: 2q+1
      17: 2
      18: 2q+1
      19: 2
      20: 2q+1
      21: 2
      22: 2q+1
      23: 2
      24: 2
      25: 2q+1
      26: 2q+1
      27: 1
      28: 1
      29: 1
      31: 2
      32: 2
      33: 2
      34: 2
      35: 2
      36: 2
      37: 2
      38: 2
      39: 2q+1
      40: 1
      41: 1
      42: 2
      43: 2
      44: 2
      45: 2
      46: 2
      47: 2
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 2
      57: 2q+1
      58: 2
      59: 2q+1
      60: 2
      61: 2
      62: 2q+1
      63: 2q+1
      64: 1
      65: 1
      67: 1
      68: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: 1
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: 1
      82: 2q+1
      83: 1
      84: 1
      85: 1
      96: 2
      97: 2
      98: 1
      99: 1
     100: 2
     101: 2
     102: 1
     103: 1
     104: 2
     105: 2
     106: 2q+1
     107: 2q+1
     108: 1
     109: 1
     111: 1
     112: 1
     113: 1
     115: 1
     116: 1
     117: 1
     119: 1
     120: 1
     121: 1
     123: 1
     130: 1
     131: 1
     132: 1
     133: 1
     134: 2q+1
     135: 1
     144: 1
     145: 1
     148: 2
     149: 1
     150: 1
     152: 1
     154: 2
     155: 1
     156: 1
     157: 1
     160: 1
     161: 1
     170: 1
     171: 1
     173: 1
     174: 1
     175: 1
     177: 1
     178: 1
     179: 1
     181: 1
     182: 1
     183: 1
     185: 1
     200: 1
     201: 1
     214: 1
     215: 1
     216: 1
     221: 1
     222: 1
     223: 1
     226: 1
     227: 1
     228: 1
     231: 1
     240: 1
     243: 1
     248: 1
     249: 1
     251: 1
     252: 1
     253: 1
     255: 1
     256: 1
     257: 1
     259: 1
     296: 1
     309: 1
     310: 1
     311: 1
     317: 1
     318: 1
     319: 1
     333: 1
     334: 1
     335: 1
     342: 1
     343: 1
     345: 1
     403: 1
     408: 1
     421: 1
     422: 1
     423: 1
     521: 1

522:   0: 2q+2
       1: 2
       2: 2q+2
       3: q^2+2q+1
       4: 2q+2
       5: 2
       6: q+1
       7: 2
       8: 2q+2
       9: q+1
      10: 2
      11: q+1
      12: q^2+2q+1
      13: q+1
      15: 2
      16: q+1
      17: 2
      18: q+1
      19: 2
      20: q+1
      21: 2
      23: 2q+2
      24: 2q+2
      25: q+1
      26: q+1
      27: q+1
      28: 1
      29: 1
      30: q+1
      31: 2q+2
      32: 2
      33: 2q+2
      34: 2
      35: 2q+2
      36: 2
      37: 2q+2
      38: 2
      39: q+1
      40: 1
      41: 1
      42: 2
      43: 2
      44: 2q+2
      45: 2
      46: 2
      47: 2q+2
      48: q+1
      49: q+1
      50: 1
      51: 1
      52: q+1
      53: q+1
      54: 1
      55: 1
      56: 2
      57: q+1
      58: 2
      60: 2
      61: 2
      62: q+1
      64: q+1
      65: 1
      66: q+1
      67: 1
      68: q+1
      69: 1
      70: q+1
      71: 1
      72: q+1
      73: 1
      74: q+1
      75: 1
      76: 1
      77: 1
      78: 1
      79: 1
      80: q+1
      81: q+1
      83: 1
      84: 1
      85: 1
      86: q+1
      96: 2
      97: 2
      98: 1
      99: 1
     100: 2
     101: 2
     102: 1
     103: 1
     104: 2
     105: 2
     106: q+1
     108: 1
     109: 1
     110: 1
     112: q+1
     113: 1
     114: q+1
     115: 1
     116: q+1
     117: 1
     118: q+1
     119: 1
     120: q+1
     121: 1
     122: q+1
     123: 1
     130: 1
     131: 1
     132: 1
     133: 1
     135: 1
     145: 1
     146: 1
     148: 2
     149: 1
     150: 1
     151: q+1
     152: 1
     154: 2
     155: 1
     156: 1
     157: 1
     158: q+1
     160: 1
     161: 1
     170: 1
     171: 1
     172: 1
     174: 1
     175: 1
     176: 1
     178: 1
     179: 1
     180: 1
     182: q+1
     183: 1
     184: q+1
     185: 1
     200: 1
     201: 1
     216: 1
     217: 1
     218: 1
     221: 1
     223: 1
     224: 1
     226: 1
     228: 1
     229: 1
     231: 1
     240: 1
     241: q+1
     243: 1
     248: 1
     249: 1
     250: 1
     252: 1
     253: 1
     254: 1
     256: 1
     257: 1
     258: 1
     297: 1
     311: 1
     312: 1
     313: 1
     319: 1
     320: 1
     321: 1
     333: 1
     335: 1
     336: 1
     342: 1
     343: 1
     344: 1
     404: 1
     409: 1
     423: 1
     424: 1
     425: 1
     522: 1

523:   0: 2q+2
       1: 2
       2: 2q+2
       3: q^2+2q+1
       4: 2q+2
       5: 2
       6: q+1
       7: 2
       8: 2q+2
       9: q+1
      10: 2
      11: q+1
      12: q^2+2q+1
      13: q+1
      15: 2
      16: q+1
      17: 2
      18: q+1
      19: 2
      20: q+1
      21: 2
      23: 2q+2
      24: 2q+2
      25: q+1
      26: q+1
      27: q+1
      28: 1
      29: 1
      30: q+1
      31: 2q+2
      32: 2
      33: 2q+2
      34: 2
      35: 2q+2
      36: 2
      37: 2q+2
      38: 2
      39: q+1
      40: 1
      41: 1
      42: 2
      43: 2
      44: 2q+2
      45: 2
      46: 2
      47: 2q+2
      48: q+1
      49: q+1
      50: 1
      51: 1
      52: q+1
      53: q+1
      54: 1
      55: 1
      56: 2
      57: q+1
      58: 2
      60: 2
      61: 2
      62: q+1
      64: q+1
      65: 1
      66: q+1
      67: 1
      68: q+1
      69: 1
      70: q+1
      71: 1
      72: q+1
      73: 1
      74: q+1
      75: 1
      76: 1
      77: 1
      78: 1
      79: 1
      80: q+1
      81: q+1
      83: 1
      84: 1
      85: 1
      87: q+1
      96: 2
      97: 2
      98: 1
      99: 1
     100: 2
     101: 2
     102: 1
     103: 1
     104: 2
     105: 2
     106: q+1
     108: 1
     109: 1
     110: 1
     112: q+1
     113: 1
     114: q+1
     115: 1
     116: q+1
     117: 1
     118: q+1
     119: 1
     120: q+1
     121: 1
     122: q+1
     123: 1
     130: 1
     131: 1
     132: 1
     133: 1
     135: 1
     145: 1
     147: 1
     148: 2
     149: 1
     150: 1
     152: 1
     153: q+1
     154: 2
     155: 1
     156: 1
     157: 1
     159: q+1
     160: 1
     161: 1
     170: 1
     171: 1
     172: 1
     174: 1
     175: 1
     176: 1
     178: 1
     179: 1
     180: 1
     182: q+1
     183: 1
     184: q+1
     185: 1
     200: 1
     201: 1
     216: 1
     219: 1
     220: 1
     221: 1
     223: 1
     225: 1
     226: 1
     228: 1
     230: 1
     231: 1
     240: 1
     242: q+1
     243: 1
     248: 1
     249: 1
     250: 1
     252: 1
     253: 1
     254: 1
     256: 1
     257: 1
     258: 1
     298: 1
     311: 1
     314: 1
     315: 1
     319: 1
     322: 1
     323: 1
     333: 1
     335: 1
     337: 1
     342: 1
     343: 1
     344: 1
     405: 1
     410: 1
     423: 1
     426: 1
     427: 1
     523: 1

524:   0: 2q^2+6q+2
       1: 2q^2+4q+2
       2: 6q+2
       3: q^3+3q^2+4q+2
       4: 2q^2+6q+2
       6: q^3+2q^2+3q+2
       7: 2q^2+4q+2
       8: 6q+2
      11: q^3+2q^2+2q+1
      12: 2q^2+4q+2
      19: 4q+2
      20: q^2+3q+2
      21: 4q+2
      23: 4q+2
      24: 4q+2
      25: q^2+2q+1
      27: q^2+4q+2
      28: q^2+3q+2
      30: 4q+2
      31: 2q^2+6q+2
      32: 2q^2+4q+2
      33: 6q+2
      35: 2q^2+6q+2
      36: 2q^2+4q+2
      37: 6q+2
      41: 3q+2
      43: 4q+2
      44: 4q+2
      46: 4q+2
      47: 4q+2
      48: q^2+3q+1
      49: q^2+3q+1
      50: q^2+2q+1
      51: q^2+2q+1
      52: 3q+1
      53: 3q+1
      60: 2q+2
      61: 2q+2
      62: q^2+2q+1
      64: 2q+2
      65: 2q+1
      66: 2q+2
      68: q^2+4q+2
      69: q^2+3q+2
      70: 4q+2
      72: q^2+4q+2
      73: q^2+3q+2
      74: 4q+2
      78: 2q+1
      79: 2q+1
      80: 2q+1
      81: 2q+1
      83: q+1
      86: q+2
      87: q+2
      88: q+1
      89: q+1
      90: q+1
      91: q+1
      92: q+1
      93: q+1
      97: 2q+2
      99: 3q+2
     101: 2q+2
     103: 3q+2
     108: 2
     109: q+1
     110: 2
     112: 2q+2
     113: 2q+1
     114: 2q+2
     116: 2q+2
     117: 2q+1
     118: 2q+2
     120: q^2+4q+2
     121: q^2+3q+2
     122: 4q+2
     124: 1
     125: 1
     128: q+1
     129: q+1
     132: q+1
     133: q+1
     145: 1
     146: 2
     147: 2
     149: q+1
     151: q+2
     153: q+2
     155: q+1
     158: q+2
     159: q+2
     161: 3q+2
     162: q+1
     163: q+1
     164: q+1
     165: q+1
     166: q+1
     167: q+1
     174: 2
     175: q+1
     176: 2
     178: 2
     179: q+1
     180: 2
     182: 2q+2
     183: 2q+1
     184: 2q+2
     192: 1
     193: 1
     196: 1
     197: 1
     198: 1
     199: 1
     204: q+1
     205: q+1
     218: 1
     220: 1
     223: 1
     224: 2
     225: 2
     228: 1
     229: 2
     230: 2
     231: q+1
     241: q+2
     242: q+2
     244: 2
     245: q+1
     246: 2
     256: 2
     257: q+1
     258: 2
     274: 1
     275: 1
     278: 1
     279: 1
     284: 1
     285: 1
     299: 1
     313: 1
     315: 1
     316: 2
     321: 1
     323: 1
     324: 2
     335: 1
     336: 2
     337: 2
     384: 1
     385: 1
     388: 1
     389: 1
     406: 1
     411: 1
     425: 1
     427: 1
     524: 1

525:   0: 3q^2+8q+2
       1: 3q^2+5q+2
       2: 3q^2+8q+2
       3: 3q^2+5q+2
       4: 6q+2
       5: 3q^2+5q+2
       6: 3q+2
       7: 2q^2+4q+2
       8: 6q+2
       9: 3q+2
      10: 2q^2+4q+2
      11: 3q+2
      12: 2q^2+4q+2
      13: 3q+2
      15: 3q^2+5q+2
      16: 3q+2
      17: 2q^2+4q+2
      18: 3q+2
      19: q^2+5q+2
      20: 3q+2
      21: 4q+2
      23: 3q^2+8q+2
      24: 6q+2
      25: 3q+2
      26: 3q+2
      27: q^2+5q+2
      28: 3q+2
      29: 3q+2
      30: 4q+2
      31: 5q+2
      32: q^2+3q+2
      33: 5q+2
      34: q^2+3q+2
      35: 5q+2
      36: q^2+3q+2
      37: 5q+2
      38: q^2+3q+2
      39: 3q+2
      40: 3q+2
      41: 3q+2
      42: q^2+3q+2
      43: 3q+2
      44: 5q+2
      45: q^2+3q+2
      46: 3q+2
      47: 5q+2
      48: 2q+1
      49: 2q+1
      50: q+1
      51: q+1
      52: 2q+1
      53: 2q+1
      54: q+1
      55: q+1
      56: q^2+5q+2
      57: 3q+2
      58: 4q+2
      60: q^2+5q+2
      61: 4q+2
      62: 3q+2
      64: q^2+5q+2
      65: 3q+2
      66: 4q+2
      67: 3q+2
      68: 2q+2
      69: q+2
      70: 3q+2
      71: q+2
      72: 2q+2
      73: q+2
      74: 3q+2
      75: q+2
      76: q+1
      77: q+1
      78: q+1
      79: q+1
      80: 2q+1
      81: 2q+1
      83: 3q+2
      84: 3q+2
      85: 3q+2
      86: q+2
      87: q+2
      88: 1
      89: 1
      90: 1
      91: 1
      92: q+1
      93: q+1
      94: 1
      95: 1
      96: 3q+2
      97: 3q+2
      98: q+2
      99: q+2
     100: 3q+2
     101: 3q+2
     102: q+2
     103: q+2
     104: q^2+5q+2
     105: 4q+2
     106: 3q+2
     108: q+2
     109: q+2
     110: 2q+2
     112: 2q+2
     113: q+2
     114: 3q+2
     115: q+2
     116: 2q+2
     117: q+2
     118: 3q+2
     119: q+2
     120: q+2
     121: 2
     123: 2
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: q+1
     131: q+1
     132: q+1
     133: q+1
     135: 3q+2
     136: 1
     137: 1
     138: 1
     139: 1
     140: q+1
     141: q+1
     142: 1
     143: 1
     145: q+2
     146: 2
     147: 2
     148: 3q+2
     149: q+2
     150: q+2
     152: q+2
     153: q+2
     154: 3q+2
     155: q+2
     156: q+2
     157: q+2
     158: q+2
     160: 2
     161: 2
     162: 1
     163: 1
     164: 1
     165: 1
     168: 1
     169: 1
     170: q+2
     171: q+2
     172: 2q+2
     174: 1
     175: 1
     176: q+1
     178: 1
     179: 1
     180: q+1
     182: q+2
     183: 2
     185: 2
     186: 1
     187: 1
     188: 1
     189: 1
     190: 1
     191: 1
     192: 1
     193: 1
     194: 1
     195: 1
     200: q+1
     201: q+1
     202: 1
     203: 1
     204: 1
     205: 1
     216: q+2
     217: 2
     218: 2
     219: 2
     220: 2
     221: q+2
     223: 1
     225: 1
     226: q+2
     228: 1
     229: 1
     231: 2
     232: 1
     233: 1
     234: 1
     235: 1
     238: 1
     239: 1
     240: 2
     243: 2
     244: 2
     248: 1
     249: 1
     250: q+1
     252: 1
     253: 1
     254: q+1
     256: 1
     257: 1
     264: 1
     265: 1
     268: 1
     269: 1
     270: 1
     271: 1
     280: 1
     281: 1
     282: 1
     283: 1
     286: 1
     287: 1
     297: 2
     298: 2
     301: 1
     302: 1
     311: 1
     314: 1
     315: 1
     319: 1
     320: 1
     321: 1
     333: 2
     335: 1
     338: 1
     342: 1
     343: 1
     356: 1
     357: 1
     382: 1
     383: 1
     405: 1
     409: 1
     423: 1
     428: 1
     432: 1
     525: 1

526:   0: 2q+2
       1: 2q+2
       2: 2q+2
       3: 2q^2+4q+2
       4: 2q+2
       5: 2q+2
       6: q^2+2q+2
       7: 2q+2
       8: 2q+2
       9: q^2+2q+2
      10: 2q+2
      11: q^2+2q+2
      13: q^2+2q+2
      15: 2q+2
      16: q^2+2q+2
      17: 2q+2
      18: q^2+2q+2
      19: 2
      20: q+2
      21: 2
      23: 2q+2
      24: 2q+2
      25: q^2+2q+2
      26: q^2+2q+2
      27: 2q+2
      28: q+2
      29: q+2
      31: 2q+2
      32: 2q+2
      33: 2q+2
      34: 2q+2
      35: 2q+2
      36: 2q+2
      37: 2q+2
      38: 2q+2
      39: q^2+2q+2
      40: q+2
      41: 2
      42: 2q+2
      43: 2
      44: 2q+2
      45: 2q+2
      46: 2
      47: 2q+2
      48: q+1
      49: q+1
      50: q+1
      51: q+1
      52: q+1
      53: q+1
      54: q+1
      55: q+1
      56: 2
      57: q+2
      58: 2
      60: 2
      61: 2
      62: q+2
      64: 2q+2
      65: q+2
      67: q+2
      68: 2q+2
      69: q+2
      71: q+2
      72: 2q+2
      73: q+2
      75: q+2
      76: q+1
      77: q+1
      78: 1
      79: 1
      80: q+1
      81: q+1
      83: 2
      84: 2
      85: q+2
      88: q+1
      89: q+1
      90: 1
      91: 1
      94: 1
      95: 1
      96: 2
      97: 2
      98: q+2
      99: 2
     100: 2
     101: 2
     102: q+2
     103: 2
     104: 2
     105: 2
     106: q+2
     108: 1
     109: 1
     112: 2q+2
     113: q+2
     115: q+2
     116: 2q+2
     117: q+2
     119: q+2
     120: 2q+2
     121: q+2
     123: q+2
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 1
     135: 2
     136: q+1
     137: q+1
     138: 1
     139: 1
     142: 1
     143: 1
     145: 1
     148: 2
     149: 2
     150: q+2
     152: 2
     154: 2
     155: 2
     156: q+2
     157: 2
     160: q+2
     161: 2
     162: q+1
     163: q+1
     164: 1
     165: 1
     168: 1
     169: 1
     170: 1
     171: 1
     174: 1
     175: 1
     178: 1
     179: 1
     182: 2q+2
     183: q+2
     185: q+2
     186: 1
     187: 1
     188: 1
     189: 1
     194: 1
     195: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     216: 1
     221: 2
     223: 1
     226: 2
     228: 1
     231: 2
     232: q+1
     233: q+1
     234: 1
     235: 1
     238: 1
     239: 1
     240: q+2
     243: 2
     245: 2
     247: 2
     248: 1
     249: 1
     252: 1
     253: 1
     256: 1
     257: 1
     264: 1
     265: 1
     280: 1
     281: 1
     282: 1
     283: 1
     286: 1
     287: 1
     300: 2
     303: 1
     304: 1
     307: 1
     308: 1
     311: 1
     319: 1
     333: 2
     335: 1
     339: 1
     342: 1
     343: 1
     360: 1
     361: 1
     382: 1
     383: 1
     423: 1
     429: 1
     433: 1
     526: 1

527:   0: 2q+2
       1: 2
       2: 2q+2
       3: 2q+2
       4: q^2+4q+2
       5: 2
       6: 2
       7: q^2+2q+2
       8: q^2+4q+2
       9: 2
      10: q^2+2q+2
      11: 2
      12: q^2+4q+2
      13: 2
      15: 2
      16: 2
      17: q^2+2q+2
      18: 2
      19: 2
      20: 2
      21: 2q+2
      23: 2q+2
      24: q^2+4q+2
      25: 2
      26: 2
      27: 2q+2
      28: 2
      29: 2
      30: q^2+4q+2
      31: q+2
      32: 2
      33: q+2
      34: 2
      35: q+2
      36: 2
      37: q+2
      38: 2
      39: 2
      40: 2
      41: 2
      42: 2
      43: 2
      44: q+2
      45: 2
      46: 2
      47: q+2
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 2
      57: 2
      58: 2q+2
      60: 2
      61: 2q+2
      62: 2
      64: 2q+2
      65: 2
      66: q^2+4q+2
      67: 2
      68: q+2
      69: 2
      70: q+2
      71: 2
      72: q+2
      73: 2
      74: q+2
      75: 2
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: 1
      83: 2
      84: 2
      85: 2
      86: q+2
      87: q+2
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 2
      97: 2
      98: 2
      99: 2
     100: 2
     101: 2
     102: 2
     103: 2
     104: 2
     105: 2q+2
     106: 2
     108: 2
     109: 2
     110: 2q+2
     112: q+2
     113: 2
     114: q+2
     115: 2
     116: q+2
     117: 2
     118: q+2
     119: 2
     122: 2
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 1
     135: 2
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: 1
     145: 2
     146: 2
     147: 2
     148: 2
     149: 2
     150: 2
     152: 2
     153: q+2
     154: 2
     155: 2
     156: 2
     157: 2
     158: q+2
     166: 1
     167: 1
     170: 2
     171: 2
     172: 2q+2
     174: 1
     175: 1
     176: 1
     178: 1
     179: 1
     180: 1
     184: 2
     186: 1
     187: 1
     188: 1
     189: 1
     190: 1
     191: 1
     192: 1
     193: 1
     194: 1
     195: 1
     200: 1
     201: 1
     216: 2
     217: 2
     218: 2
     219: 2
     220: 2
     221: 2
     223: 1
     225: 1
     226: 2
     228: 1
     229: 1
     236: 1
     237: 1
     246: 2
     248: 1
     249: 1
     250: 1
     252: 1
     253: 1
     254: 1
     258: 1
     264: 1
     265: 1
     268: 1
     269: 1
     270: 1
     271: 1
     297: 2
     298: 2
     305: 1
     306: 1
     311: 1
     314: 1
     315: 1
     319: 1
     320: 1
     321: 1
     340: 1
     344: 1
     356: 1
     357: 1
     405: 1
     409: 1
     430: 1
     434: 1
     527: 1

528:   1: 2
       5: 2
       6: 2
       7: 2
       9: 2
      10: 2
      11: 2
      13: 2
      14: q^3+q+1
      15: 2
      16: 2
      17: 2
      18: 2
      22: 1
      25: 2
      26: 2
      28: 2
      29: 2
      32: 2
      34: 2
      36: 2
      38: 2
      39: 2
      40: 2
      42: 2
      45: 2
      50: 1
      51: 1
      54: 1
      55: 1
      59: 1
      63: 1
      65: 2
      67: 2
      69: 2
      71: 2
      73: 2
      75: 2
      76: 1
      77: 1
      85: 2
      90: 1
      91: 1
      94: 1
      95: 1
      98: 2
     102: 2
     107: 1
     111: 1
     113: 2
     115: 2
     117: 2
     119: 2
     121: 2
     123: 2
     126: 1
     127: 1
     138: 1
     139: 1
     142: 1
     143: 1
     150: 2
     156: 2
     160: 2
     164: 1
     165: 1
     168: 1
     169: 1
     173: 1
     177: 1
     181: 1
     183: 2
     185: 2
     188: 1
     189: 1
     202: 1
     203: 1
     234: 1
     235: 1
     238: 1
     239: 1
     240: 2
     245: 2
     247: 2
     251: 1
     255: 1
     259: 1
     282: 1
     283: 1
     300: 2
     303: 1
     304: 1
     307: 1
     308: 1
     341: 1
     345: 1
     360: 1
     361: 1
     431: 1
     435: 1
     528: 1

529:   0: 1
       1: 1
       2: q+1
       3: 1
       4: 1
       6: 1
       7: 1
       8: q+1
      12: q+1
      19: 1
      20: 1
      21: 1
      23: 1
      24: 1
      27: 1
      28: 1
      30: q+1
      31: 1
      32: 1
      33: q+1
      35: 1
      36: 1
      37: q+1
      41: 1
      43: 1
      44: 1
      46: 1
      47: 1
      48: 1
      50: 1
      52: q+1
      60: 1
      61: 1
      64: 1
      66: 1
      68: 1
      69: 1
      70: q+1
      72: 1
      73: 1
      74: q+1
      78: 1
      80: 1
      86: 1
      87: 1
      88: 1
      90: 1
      92: q+1
      97: 1
      99: 1
     101: 1
     103: 1
     108: 1
     110: 1
     112: 1
     114: 1
     116: 1
     118: 1
     120: 1
     121: 1
     122: q+1
     124: 1
     128: 1
     132: 1
     136: 1
     140: 1
     146: 1
     147: 1
     151: 1
     153: 1
     158: 1
     159: 1
     161: 1
     162: 1
     164: 1
     166: q+1
     174: 1
     176: 1
     178: 1
     180: 1
     182: 1
     184: 1
     190: 1
     192: 1
     196: 1
     198: 1
     204: 1
     206: 1
     210: 1
     224: 1
     225: 1
     229: 1
     230: 1
     232: 1
     236: 1
     241: 1
     242: 1
     244: 1
     246: 1
     256: 1
     258: 1
     266: 1
     272: 1
     274: 1
     276: 1
     278: 1
     284: 1
     301: 1
     305: 1
     316: 1
     324: 1
     325: 1
     329: 1
     336: 1
     337: 1
     338: 1
     340: 1
     364: 1
     368: 1
     372: 1
     376: 1
     384: 1
     386: 1
     388: 1
     394: 1
     398: 1
     407: 1
     412: 1
     436: 1
     462: 1
     472: 1
     482: 1
     486: 1
     529: 1

530:   0: 3q
       1: 3q
       2: 3q^2+3q
       3: q^2+2q
       4: 3q
       6: q^2+2q
       7: 3q
       8: 3q^2+3q
      12: q^3+3q^2+2q
      19: 3q
      20: q^2+2q
      21: 3q
      23: 3q
      24: 3q
      27: 2q
      28: 2q
      30: 2q^2+2q
      31: 3q
      32: 3q
      33: 3q^2+3q
      35: 3q
      36: 3q
      37: 3q^2+3q
      41: 2q
      43: 3q
      44: 3q
      46: 3q
      47: 3q
      48: q
      49: 2q
      50: q
      51: 2q
      52: q^2+q
      53: 2q^2+2q
      60: 3q
      61: 3q
      64: 2q
      66: 2q
      68: 2q
      69: 2q
      70: 2q^2+2q
      72: 2q
      73: 2q
      74: 2q^2+2q
      78: q
      79: 2q
      80: q
      81: 2q
      86: q
      87: q
      89: q
      91: q
      93: q^2+q
      97: 3q
      99: 2q
     101: 3q
     103: 2q
     108: 2q
     110: 2q
     112: 2q
     114: 2q
     116: 2q
     118: 2q
     120: 2q
     121: 2q
     122: 2q^2+2q
     129: q
     132: q
     133: 2q
     137: q
     141: q
     146: q
     147: q
     151: q
     153: q
     158: q
     159: q
     161: 2q
     163: q
     165: q
     167: q^2+q
     174: 2q
     176: 2q
     178: 2q
     180: 2q
     182: 2q
     184: 2q
     205: q
     207: q
     211: q
     224: q
     225: q
     229: q
     230: q
     233: q
     237: q
     241: q
     242: q
     244: 1
     246: 1
     256: 2q
     258: 2q
     302: 1
     306: 1
     316: 1
     324: 1
     326: q
     330: q
     336: q
     337: q
     338: 1
     340: 1
     369: 1
     377: 1
     388: 1
     395: 1
     399: 1
     407: 1
     412: 1
     437: 1
     463: 1
     473: 1
     486: 1
     530: 1

531:   0: q^3+q
       1: q^3+q
       2: q^2+q
       3: q^3+q
       4: q
       6: q^3+q
       7: q
       8: q^3+q^2+q
      12: q^3+q^2+q
      19: q^3+q
      20: q^3+q
      21: q
      23: q
      24: q
      27: q^3+q
      28: q^3+q
      30: q^3+q^2+q
      31: q
      32: q
      33: q^2+q
      35: q
      36: q
      37: q^2+q
      41: q^3+q
      43: q
      44: q
      46: q
      47: q
      48: q
      50: q
      52: q^2+q
      60: q
      61: q
      64: q
      66: q
      68: q
      69: q
      70: q^2+q
      72: q
      73: q
      74: q^2+q
      78: q
      80: q
      86: q
      87: q
      88: q
      90: q
      92: q^2+q
      97: q
      99: q
     101: q
     103: q
     108: q
     110: q
     112: q
     114: q
     116: q
     118: q
     120: q
     121: q
     122: q^2+q
     124: q
     128: q
     132: q
     136: q
     140: q
     146: q
     147: q
     151: q
     153: q
     158: q
     159: q
     161: q
     162: q
     164: q
     166: q^2+q
     174: q
     176: q
     178: q
     180: q
     190: q
     192: q
     196: q
     198: q
     204: q
     206: q
     210: q
     224: q
     225: q
     229: q
     230: q
     266: q
     274: q
     278: q
     386: 1
     438: 1
     482: 1
     531: 1

532:   0: 3q
       1: 3q
       2: 3q^2+3q
       3: q^2+2q
       4: 3q
       6: q^2+2q
       7: 3q
       8: 3q^2+3q
      12: q^3+3q^2+2q
      19: 3q
      20: q^2+2q
      21: 3q
      23: 3q
      24: 3q
      27: 2q
      28: 2q
      30: 2q^2+2q
      31: 3q
      32: 3q
      33: 3q^2+3q
      35: 3q
      36: 3q
      37: 3q^2+3q
      41: 2q
      43: 3q
      44: 3q
      46: 3q
      47: 3q
      48: 2q
      49: q
      50: 2q
      51: q
      52: 2q^2+2q
      53: q^2+q
      60: 3q
      61: 3q
      64: 2q
      66: 2q
      68: 2q
      69: 2q
      70: 2q^2+2q
      72: 2q
      73: 2q
      74: 2q^2+2q
      78: 2q
      79: q
      80: 2q
      81: q
      86: q
      87: q
      88: q
      90: q
      92: q^2+q
      97: 3q
      99: 2q
     101: 3q
     103: 2q
     108: 2q
     110: 2q
     112: 2q
     114: 2q
     116: 2q
     118: 2q
     120: 2q
     121: 2q
     122: 2q^2+2q
     128: q
     132: 2q
     133: q
     136: q
     140: q
     146: q
     147: q
     151: q
     153: q
     158: q
     159: q
     161: 2q
     162: q
     164: q
     166: q^2+q
     174: 2q
     176: 2q
     178: 2q
     180: 2q
     182: 2q
     184: 2q
     204: q
     206: q
     210: q
     224: q
     225: q
     229: q
     230: q
     232: q
     236: q
     241: q
     242: q
     244: 1
     246: 1
     256: 2q
     258: 2q
     301: 1
     305: 1
     316: 1
     324: 1
     325: q
     329: q
     336: q
     337: q
     338: 1
     340: 1
     368: 1
     376: 1
     389: 1
     394: 1
     398: 1
     407: 1
     412: 1
     439: 1
     462: 1
     472: 1
     487: 1
     532: 1

533:   0: 1
       1: 1
       2: q+1
       3: 1
       4: 1
       6: 1
       7: 1
       8: q+1
      12: q+1
      19: 1
      20: 1
      21: 1
      23: 1
      24: 1
      27: 1
      28: 1
      30: q+1
      31: 1
      32: 1
      33: q+1
      35: 1
      36: 1
      37: q+1
      41: 1
      43: 1
      44: 1
      46: 1
      47: 1
      49: 1
      51: 1
      53: q+1
      60: 1
      61: 1
      64: 1
      66: 1
      68: 1
      69: 1
      70: q+1
      72: 1
      73: 1
      74: q+1
      79: 1
      81: 1
      86: 1
      87: 1
      89: 1
      91: 1
      93: q+1
      97: 1
      99: 1
     101: 1
     103: 1
     108: 1
     110: 1
     112: 1
     114: 1
     116: 1
     118: 1
     120: 1
     121: 1
     122: q+1
     125: 1
     129: 1
     133: 1
     137: 1
     141: 1
     146: 1
     147: 1
     151: 1
     153: 1
     158: 1
     159: 1
     161: 1
     163: 1
     165: 1
     167: q+1
     174: 1
     176: 1
     178: 1
     180: 1
     182: 1
     184: 1
     191: 1
     193: 1
     197: 1
     199: 1
     205: 1
     207: 1
     211: 1
     224: 1
     225: 1
     229: 1
     230: 1
     233: 1
     237: 1
     241: 1
     242: 1
     244: 1
     246: 1
     256: 1
     258: 1
     267: 1
     273: 1
     275: 1
     277: 1
     279: 1
     285: 1
     302: 1
     306: 1
     316: 1
     324: 1
     326: 1
     330: 1
     336: 1
     337: 1
     338: 1
     340: 1
     365: 1
     369: 1
     373: 1
     377: 1
     385: 1
     387: 1
     389: 1
     395: 1
     399: 1
     407: 1
     412: 1
     440: 1
     463: 1
     473: 1
     483: 1
     487: 1
     533: 1

534:   0: q^3+q
       1: q^3+q
       2: q^2+q
       3: q^3+q
       4: q
       6: q^3+q
       7: q
       8: q^3+q^2+q
      12: q^3+q^2+q
      19: q^3+q
      20: q^3+q
      21: q
      23: q
      24: q
      27: q^3+q
      28: q^3+q
      30: q^3+q^2+q
      31: q
      32: q
      33: q^2+q
      35: q
      36: q
      37: q^2+q
      41: q^3+q
      43: q
      44: q
      46: q
      47: q
      49: q
      51: q
      53: q^2+q
      60: q
      61: q
      64: q
      66: q
      68: q
      69: q
      70: q^2+q
      72: q
      73: q
      74: q^2+q
      79: q
      81: q
      86: q
      87: q
      89: q
      91: q
      93: q^2+q
      97: q
      99: q
     101: q
     103: q
     108: q
     110: q
     112: q
     114: q
     116: q
     118: q
     120: q
     121: q
     122: q^2+q
     125: q
     129: q
     133: q
     137: q
     141: q
     146: q
     147: q
     151: q
     153: q
     158: q
     159: q
     161: q
     163: q
     165: q
     167: q^2+q
     174: q
     176: q
     178: q
     180: q
     191: q
     193: q
     197: q
     199: q
     205: q
     207: q
     211: q
     224: q
     225: q
     229: q
     230: q
     267: q
     275: q
     279: q
     387: 1
     441: 1
     483: 1
     534: 1

535:   0: 1
       1: 1
       2: 1
       3: q+1
       4: 1
       5: q^2+q+1
       6: q+1
       7: 1
       8: 1
       9: q+1
      10: q^2+q+1
      11: q+1
      13: q+1
      14: q+1
      15: 1
      16: 1
      17: 1
      18: 1
      19: 1
      20: q+1
      21: 1
      22: q+1
      23: 1
      24: 1
      25: q+1
      26: q+1
      27: 1
      28: 1
      29: q+1
      31: 1
      32: 1
      33: 1
      34: q^2+q+1
      35: 1
      36: 1
      37: 1
      38: q^2+q+1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      48: 1
      50: 1
      52: 1
      54: q^2+q+1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: q+1
      63: q+1
      64: 1
      65: 1
      67: q+1
      68: 1
      69: 1
      71: q+1
      72: 1
      73: 1
      75: q+1
      76: 1
      78: 1
      80: 1
      82: 1
      83: 1
      84: 1
      85: 1
      88: 1
      90: 1
      94: q+1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: 1
     109: 1
     111: q+1
     112: 1
     113: 1
     115: q+1
     116: 1
     117: 1
     119: q+1
     120: 1
     121: 1
     123: q+1
     126: 1
     128: 1
     130: 1
     132: 1
     134: 1
     135: 1
     136: 1
     138: 1
     142: q+1
     144: 1
     145: 1
     148: 1
     149: 1
     150: 1
     152: 1
     154: 1
     155: 1
     156: 1
     157: 1
     160: 1
     161: 1
     162: 1
     164: 1
     168: q+1
     174: 1
     175: 1
     177: q+1
     178: 1
     179: 1
     181: q+1
     182: 1
     183: 1
     185: q+1
     186: 1
     188: 1
     194: 1
     200: 1
     202: 1
     204: 1
     206: 1
     208: 1
     212: q+1
     214: 1
     221: 1
     222: 1
     223: 1
     226: 1
     227: 1
     228: 1
     231: 1
     232: 1
     234: 1
     238: q+1
     240: 1
     243: 1
     245: 1
     247: 1
     256: 1
     257: 1
     259: q+1
     260: 1
     262: 1
     264: 1
     280: 1
     282: 1
     286: 1
     300: 1
     303: 1
     307: 1
     309: 1
     317: 1
     325: 1
     327: 1
     331: q+1
     333: 1
     334: 1
     335: 1
     339: 1
     341: 1
     350: 1
     360: 1
     378: 1
     380: 1
     382: 1
     393: 1
     396: 1
     400: 1
     421: 1
     429: 1
     431: 1
     452: 1
     478: 1
     488: 1
     491: 1
     495: 1
     535: 1

536:   0: 1
       1: 1
       2: 1
       3: q+1
       4: 1
       5: q^2+q+1
       6: q+1
       7: 1
       8: 1
       9: q+1
      10: q^2+q+1
      11: q+1
      13: q+1
      14: q+1
      15: 1
      16: 1
      17: 1
      18: 1
      19: 1
      20: q+1
      21: 1
      22: q+1
      23: 1
      24: 1
      25: q+1
      26: q+1
      27: 1
      28: 1
      29: q+1
      31: 1
      32: 1
      33: 1
      34: q^2+q+1
      35: 1
      36: 1
      37: 1
      38: q^2+q+1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      49: 1
      51: 1
      53: 1
      55: q^2+q+1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: q+1
      63: q+1
      64: 1
      65: 1
      67: q+1
      68: 1
      69: 1
      71: q+1
      72: 1
      73: 1
      75: q+1
      77: 1
      79: 1
      81: 1
      82: 1
      83: 1
      84: 1
      85: 1
      89: 1
      91: 1
      95: q+1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: 1
     109: 1
     111: q+1
     112: 1
     113: 1
     115: q+1
     116: 1
     117: 1
     119: q+1
     120: 1
     121: 1
     123: q+1
     127: 1
     129: 1
     131: 1
     133: 1
     134: 1
     135: 1
     137: 1
     139: 1
     143: q+1
     144: 1
     145: 1
     148: 1
     149: 1
     150: 1
     152: 1
     154: 1
     155: 1
     156: 1
     157: 1
     160: 1
     161: 1
     163: 1
     165: 1
     169: q+1
     174: 1
     175: 1
     177: q+1
     178: 1
     179: 1
     181: q+1
     182: 1
     183: 1
     185: q+1
     187: 1
     189: 1
     195: 1
     201: 1
     203: 1
     205: 1
     207: 1
     209: 1
     213: q+1
     214: 1
     221: 1
     222: 1
     223: 1
     226: 1
     227: 1
     228: 1
     231: 1
     233: 1
     235: 1
     239: q+1
     240: 1
     243: 1
     245: 1
     247: 1
     256: 1
     257: 1
     259: q+1
     261: 1
     263: 1
     265: 1
     281: 1
     283: 1
     287: 1
     300: 1
     304: 1
     308: 1
     309: 1
     317: 1
     326: 1
     328: 1
     332: q+1
     333: 1
     334: 1
     335: 1
     339: 1
     341: 1
     351: 1
     361: 1
     379: 1
     381: 1
     383: 1
     393: 1
     397: 1
     401: 1
     421: 1
     429: 1
     431: 1
     453: 1
     479: 1
     488: 1
     492: 1
     496: 1
     536: 1

537:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       5: q+1
       6: q+1
       7: q+1
       8: q+1
       9: q+1
      10: q+1
      11: q+1
      12: q+1
      13: q+1
      14: q+1
      15: q+1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      20: q+1
      21: q+1
      22: q+1
      23: q+1
      24: q+1
      25: q+1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      30: q+1
      31: 1
      32: 1
      33: 1
      34: 1
      35: 1
      36: 1
      37: 1
      38: 1
      39: q+1
      40: q+1
      41: q+1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      48: 1
      50: 1
      52: 1
      54: 1
      56: q+1
      57: q+1
      58: q+1
      59: q+1
      60: q+1
      61: q+1
      62: q+1
      63: q+1
      64: q+1
      65: q+1
      66: q+1
      67: q+1
      68: 1
      69: 1
      70: 1
      71: 1
      72: 1
      73: 1
      74: 1
      75: 1
      76: 1
      78: 1
      80: 1
      82: q+1
      83: q+1
      84: q+1
      85: q+1
      86: 1
      87: 1
      88: 1
      90: 1
      92: 1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: q+1
     105: q+1
     106: q+1
     107: q+1
     108: q+1
     109: q+1
     110: q+1
     111: q+1
     112: 1
     113: 1
     114: 1
     115: 1
     116: 1
     117: 1
     118: 1
     119: 1
     124: 1
     126: 1
     128: 1
     130: 1
     132: 1
     134: q+1
     135: q+1
     136: 1
     138: 1
     140: 1
     142: 1
     144: q+1
     145: q+1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     152: 1
     153: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     170: q+1
     171: q+1
     172: q+1
     173: q+1
     174: 1
     175: 1
     176: 1
     177: 1
     178: 1
     179: 1
     180: 1
     181: 1
     186: 1
     188: 1
     190: 1
     192: 1
     194: 1
     200: 1
     206: 1
     208: 1
     210: 1
     212: 1
     214: q+1
     215: q+1
     216: q+1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     223: 1
     225: 1
     226: 1
     227: 1
     228: 1
     229: 1
     248: 1
     249: 1
     250: 1
     251: 1
     252: 1
     253: 1
     254: 1
     255: 1
     260: 1
     262: 1
     264: 1
     266: 1
     268: 1
     270: 1
     288: 1
     290: 1
     292: 1
     294: 1
     296: q+1
     297: 1
     298: 1
     309: 1
     310: 1
     311: 1
     314: 1
     315: 1
     317: 1
     318: 1
     319: 1
     320: 1
     321: 1
     346: 1
     348: 1
     350: 1
     352: 1
     354: 1
     356: 1
     390: 1
     391: 1
     403: 1
     405: 1
     408: 1
     409: 1
     442: 1
     444: 1
     446: 1
     511: 1
     516: 1
     537: 1

538:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       5: q+1
       6: q+1
       7: q+1
       8: q+1
       9: q+1
      10: q+1
      11: q+1
      12: q+1
      13: q+1
      14: q+1
      15: q+1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      20: q+1
      21: q+1
      22: q+1
      23: q+1
      24: q+1
      25: q+1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      30: q+1
      31: 1
      32: 1
      33: 1
      34: 1
      35: 1
      36: 1
      37: 1
      38: 1
      39: q+1
      40: q+1
      41: q+1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      49: 1
      51: 1
      53: 1
      55: 1
      56: q+1
      57: q+1
      58: q+1
      59: q+1
      60: q+1
      61: q+1
      62: q+1
      63: q+1
      64: q+1
      65: q+1
      66: q+1
      67: q+1
      68: 1
      69: 1
      70: 1
      71: 1
      72: 1
      73: 1
      74: 1
      75: 1
      77: 1
      79: 1
      81: 1
      82: q+1
      83: q+1
      84: q+1
      85: q+1
      86: 1
      87: 1
      89: 1
      91: 1
      93: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: q+1
     105: q+1
     106: q+1
     107: q+1
     108: q+1
     109: q+1
     110: q+1
     111: q+1
     112: 1
     113: 1
     114: 1
     115: 1
     116: 1
     117: 1
     118: 1
     119: 1
     125: 1
     127: 1
     129: 1
     131: 1
     133: 1
     134: q+1
     135: q+1
     137: 1
     139: 1
     141: 1
     143: 1
     144: q+1
     145: q+1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     152: 1
     153: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     170: q+1
     171: q+1
     172: q+1
     173: q+1
     174: 1
     175: 1
     176: 1
     177: 1
     178: 1
     179: 1
     180: 1
     181: 1
     187: 1
     189: 1
     191: 1
     193: 1
     195: 1
     201: 1
     207: 1
     209: 1
     211: 1
     213: 1
     214: q+1
     215: q+1
     216: q+1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     223: 1
     225: 1
     226: 1
     227: 1
     228: 1
     229: 1
     248: 1
     249: 1
     250: 1
     251: 1
     252: 1
     253: 1
     254: 1
     255: 1
     261: 1
     263: 1
     265: 1
     267: 1
     269: 1
     271: 1
     289: 1
     291: 1
     293: 1
     295: 1
     296: q+1
     297: 1
     298: 1
     309: 1
     310: 1
     311: 1
     314: 1
     315: 1
     317: 1
     318: 1
     319: 1
     320: 1
     321: 1
     347: 1
     349: 1
     351: 1
     353: 1
     355: 1
     357: 1
     390: 1
     391: 1
     403: 1
     405: 1
     408: 1
     409: 1
     443: 1
     445: 1
     447: 1
     511: 1
     516: 1
     538: 1

539:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: 1
       6: q+1
       7: 1
       8: 1
      11: q+1
      12: 1
      19: q+1
      20: q+1
      21: 1
      23: q+1
      24: 1
      25: q+1
      27: q+1
      28: q+1
      30: 1
      31: 1
      32: 1
      33: 1
      35: 1
      36: 1
      37: 1
      41: q+1
      43: 1
      44: 1
      46: 1
      47: 1
      48: 1
      50: 1
      52: 1
      60: q+1
      61: 1
      62: q+1
      64: q+1
      65: q+1
      66: 1
      68: 1
      69: 1
      70: 1
      72: 1
      73: 1
      74: 1
      78: 1
      80: 1
      83: q+1
      86: 1
      87: 1
      88: 1
      90: 1
      92: 1
      97: 1
      99: 1
     101: 1
     103: 1
     108: q+1
     109: q+1
     110: 1
     112: 1
     113: 1
     114: 1
     116: 1
     117: 1
     118: 1
     120: 1
     121: 1
     124: 1
     128: 1
     132: 1
     136: 1
     138: 1
     140: 1
     145: q+1
     146: 1
     147: 1
     149: 1
     153: 1
     155: 1
     158: 1
     161: 1
     162: 1
     164: 1
     174: 1
     175: 1
     176: 1
     178: 1
     179: 1
     180: 1
     182: 1
     183: 1
     186: 1
     190: 1
     192: 1
     204: 1
     206: 1
     208: 1
     210: 1
     218: 1
     220: 1
     223: 1
     225: 1
     228: 1
     229: 1
     231: 1
     232: 1
     234: 1
     244: 1
     245: 1
     256: 1
     257: 1
     262: 1
     266: 1
     268: 1
     280: 1
     299: 1
     301: 1
     303: 1
     315: 1
     321: 1
     325: 1
     327: 1
     335: 1
     338: 1
     339: 1
     354: 1
     358: 1
     380: 1
     394: 1
     396: 1
     402: 1
     428: 1
     429: 1
     448: 1
     489: 1
     491: 1
     497: 1
     539: 1

540:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: 1
       6: q+1
       7: 1
       8: 1
      11: q+1
      12: 1
      19: q+1
      20: q+1
      21: 1
      23: q+1
      24: 1
      25: q+1
      27: q+1
      28: q+1
      30: 1
      31: 1
      32: 1
      33: 1
      35: 1
      36: 1
      37: 1
      41: q+1
      43: 1
      44: 1
      46: 1
      47: 1
      49: 1
      51: 1
      53: 1
      60: q+1
      61: 1
      62: q+1
      64: q+1
      65: q+1
      66: 1
      68: 1
      69: 1
      70: 1
      72: 1
      73: 1
      74: 1
      79: 1
      81: 1
      83: q+1
      86: 1
      87: 1
      89: 1
      91: 1
      93: 1
      97: 1
      99: 1
     101: 1
     103: 1
     108: q+1
     109: q+1
     110: 1
     112: 1
     113: 1
     114: 1
     116: 1
     117: 1
     118: 1
     120: 1
     121: 1
     125: 1
     129: 1
     133: 1
     137: 1
     139: 1
     141: 1
     145: q+1
     146: 1
     147: 1
     149: 1
     153: 1
     155: 1
     158: 1
     161: 1
     163: 1
     165: 1
     174: 1
     175: 1
     176: 1
     178: 1
     179: 1
     180: 1
     182: 1
     183: 1
     187: 1
     191: 1
     193: 1
     205: 1
     207: 1
     209: 1
     211: 1
     218: 1
     220: 1
     223: 1
     225: 1
     228: 1
     229: 1
     231: 1
     233: 1
     235: 1
     244: 1
     245: 1
     256: 1
     257: 1
     263: 1
     267: 1
     269: 1
     281: 1
     299: 1
     302: 1
     304: 1
     315: 1
     321: 1
     326: 1
     328: 1
     335: 1
     338: 1
     339: 1
     355: 1
     359: 1
     381: 1
     395: 1
     397: 1
     402: 1
     428: 1
     429: 1
     449: 1
     490: 1
     492: 1
     497: 1
     540: 1

541:   0: 3q+1
       1: 3q+1
       2: q^2+2q+1
       3: 3q+1
       4: q^2+2q+1
       5: q^2+2q+1
       6: 3q+1
       7: q^2+2q+1
       8: q+1
       9: q^2+2q+1
      10: q^3+2q^2+2q+1
      11: q^2+2q+1
      12: q+1
      13: q+1
      14: q+1
      15: 2q+1
      16: 2q+1
      17: q^2+2q+1
      18: q+1
      19: 3q+1
      20: 3q+1
      21: q^2+2q+1
      22: q+1
      23: 2q+1
      24: q+1
      25: 2q+1
      26: q+1
      27: 3q+1
      28: 3q+1
      29: q^2+2q+1
      30: q+1
      31: 2q+1
      32: 2q+1
      33: q+1
      34: q^2+2q+1
      35: 2q+1
      36: 2q+1
      37: q+1
      38: q^2+2q+1
      39: q+1
      40: 2q+1
      41: 3q+1
      42: 2q+1
      43: 2q+1
      44: q+1
      45: 2q+1
      46: 2q+1
      47: q+1
      48: 2q+1
      50: 2q+1
      52: q+1
      54: q^2+2q+1
      56: 2q+1
      57: 2q+1
      58: q^2+2q+1
      59: q+1
      60: 2q+1
      61: q+1
      62: 2q+1
      63: q+1
      64: 2q+1
      65: 2q+1
      66: q+1
      67: q+1
      68: 2q+1
      69: 2q+1
      70: q+1
      71: q^2+2q+1
      72: 2q+1
      73: 2q+1
      74: q+1
      75: q^2+2q+1
      76: 2q+1
      78: 2q+1
      80: q+1
      82: q+1
      83: q+1
      84: 2q+1
      85: q+1
      86: q+1
      87: q+1
      88: 2q+1
      90: 2q+1
      92: q+1
      94: q^2+2q+1
      96: 2q+1
      97: q+1
      98: 2q+1
      99: 2q+1
     100: 2q+1
     101: q+1
     102: 2q+1
     103: 2q+1
     104: q+1
     105: q+1
     106: 1
     107: 1
     108: 2q+1
     109: 2q+1
     110: q+1
     111: q+1
     112: 1
     113: q+1
     114: 1
     115: q+1
     116: 1
     117: q+1
     118: 1
     119: q+1
     120: q+1
     121: q+1
     123: q+1
     124: q+1
     126: 2q+1
     128: 2q+1
     130: 2q+1
     132: q+1
     134: 1
     135: 1
     136: 1
     138: q+1
     140: 1
     142: q+1
     144: q+1
     145: q+1
     146: q+1
     147: q+1
     148: q+1
     149: 1
     150: q+1
     152: 2q+1
     153: 1
     154: q+1
     155: 1
     156: q+1
     157: 2q+1
     158: 1
     160: q+1
     161: q+1
     162: q+1
     164: q+1
     168: q+1
     170: q+1
     171: 1
     172: q+1
     173: 1
     174: 1
     175: q+1
     176: 1
     177: q+1
     178: 1
     179: q+1
     180: 1
     181: q+1
     182: 1
     183: 1
     185: 1
     186: 1
     188: q+1
     190: 1
     192: q+1
     194: 2q+1
     200: q+1
     202: q+1
     204: q+1
     206: 1
     208: q+1
     210: 1
     212: q+1
     214: 1
     215: 1
     216: 1
     217: q+1
     218: 1
     219: q+1
     220: 1
     221: 1
     222: q+1
     223: 1
     225: 1
     226: 1
     227: q+1
     228: 1
     229: 1
     231: 1
     232: 1
     234: 1
     238: 1
     240: 1
     243: q+1
     244: 1
     245: 1
     247: 1
     256: 1
     257: 1
     259: 1
     260: q+1
     262: 1
     264: 1
     266: 1
     268: 1
     270: q+1
     280: 1
     282: 1
     286: q+1
     296: 1
     297: 1
     298: 1
     299: 1
     300: 1
     301: 1
     303: 1
     307: 1
     309: 1
     315: 1
     317: 1
     321: 1
     325: 1
     327: 1
     331: 1
     333: 1
     334: 1
     335: 1
     338: 1
     339: 1
     341: 1
     350: 1
     354: 1
     356: 1
     358: 1
     360: 1
     378: 1
     380: 1
     382: 1
     390: 1
     391: 1
     392: 1
     393: 1
     394: 1
     396: 1
     400: 1
     402: 1
     421: 1
     444: 1
     448: 1
     450: 1
     452: 1
     478: 1
     498: 1
     541: 1

542:   0: 3q+1
       1: 3q+1
       2: q^2+2q+1
       3: 3q+1
       4: q^2+2q+1
       5: q^2+2q+1
       6: 3q+1
       7: q^2+2q+1
       8: q+1
       9: q^2+2q+1
      10: q^3+2q^2+2q+1
      11: q^2+2q+1
      12: q+1
      13: q+1
      14: q+1
      15: 2q+1
      16: 2q+1
      17: q^2+2q+1
      18: q+1
      19: 3q+1
      20: 3q+1
      21: q^2+2q+1
      22: q+1
      23: 2q+1
      24: q+1
      25: 2q+1
      26: q+1
      27: 3q+1
      28: 3q+1
      29: q^2+2q+1
      30: q+1
      31: 2q+1
      32: 2q+1
      33: q+1
      34: q^2+2q+1
      35: 2q+1
      36: 2q+1
      37: q+1
      38: q^2+2q+1
      39: q+1
      40: 2q+1
      41: 3q+1
      42: 2q+1
      43: 2q+1
      44: q+1
      45: 2q+1
      46: 2q+1
      47: q+1
      49: 2q+1
      51: 2q+1
      53: q+1
      55: q^2+2q+1
      56: 2q+1
      57: 2q+1
      58: q^2+2q+1
      59: q+1
      60: 2q+1
      61: q+1
      62: 2q+1
      63: q+1
      64: 2q+1
      65: 2q+1
      66: q+1
      67: q+1
      68: 2q+1
      69: 2q+1
      70: q+1
      71: q^2+2q+1
      72: 2q+1
      73: 2q+1
      74: q+1
      75: q^2+2q+1
      77: 2q+1
      79: 2q+1
      81: q+1
      82: q+1
      83: q+1
      84: 2q+1
      85: q+1
      86: q+1
      87: q+1
      89: 2q+1
      91: 2q+1
      93: q+1
      95: q^2+2q+1
      96: 2q+1
      97: q+1
      98: 2q+1
      99: 2q+1
     100: 2q+1
     101: q+1
     102: 2q+1
     103: 2q+1
     104: q+1
     105: q+1
     106: 1
     107: 1
     108: 2q+1
     109: 2q+1
     110: q+1
     111: q+1
     112: 1
     113: q+1
     114: 1
     115: q+1
     116: 1
     117: q+1
     118: 1
     119: q+1
     120: q+1
     121: q+1
     123: q+1
     125: q+1
     127: 2q+1
     129: 2q+1
     131: 2q+1
     133: q+1
     134: 1
     135: 1
     137: 1
     139: q+1
     141: 1
     143: q+1
     144: q+1
     145: q+1
     146: q+1
     147: q+1
     148: q+1
     149: 1
     150: q+1
     152: 2q+1
     153: 1
     154: q+1
     155: 1
     156: q+1
     157: 2q+1
     158: 1
     160: q+1
     161: q+1
     163: q+1
     165: q+1
     169: q+1
     170: q+1
     171: 1
     172: q+1
     173: 1
     174: 1
     175: q+1
     176: 1
     177: q+1
     178: 1
     179: q+1
     180: 1
     181: q+1
     182: 1
     183: 1
     185: 1
     187: 1
     189: q+1
     191: 1
     193: q+1
     195: 2q+1
     201: q+1
     203: q+1
     205: q+1
     207: 1
     209: q+1
     211: 1
     213: q+1
     214: 1
     215: 1
     216: 1
     217: q+1
     218: 1
     219: q+1
     220: 1
     221: 1
     222: q+1
     223: 1
     225: 1
     226: 1
     227: q+1
     228: 1
     229: 1
     231: 1
     233: 1
     235: 1
     239: 1
     240: 1
     243: q+1
     244: 1
     245: 1
     247: 1
     256: 1
     257: 1
     259: 1
     261: q+1
     263: 1
     265: 1
     267: 1
     269: 1
     271: q+1
     281: 1
     283: 1
     287: q+1
     296: 1
     297: 1
     298: 1
     299: 1
     300: 1
     302: 1
     304: 1
     308: 1
     309: 1
     315: 1
     317: 1
     321: 1
     326: 1
     328: 1
     332: 1
     333: 1
     334: 1
     335: 1
     338: 1
     339: 1
     341: 1
     351: 1
     355: 1
     357: 1
     359: 1
     361: 1
     379: 1
     381: 1
     383: 1
     390: 1
     391: 1
     392: 1
     393: 1
     395: 1
     397: 1
     401: 1
     402: 1
     421: 1
     445: 1
     449: 1
     451: 1
     453: 1
     479: 1
     498: 1
     542: 1

543:   0: 3q^2+4q+1
       1: 3q+1
       2: q^3+3q^2+3q+1
       3: 3q^2+4q+1
       4: q^3+3q^2+3q+1
       5: 3q+1
       6: 3q+1
       7: q^2+2q+1
       8: q^2+2q+1
       9: 3q+1
      10: q^2+2q+1
      11: q^2+2q+1
      12: q^2+2q+1
      13: q^2+2q+1
      15: 3q+1
      16: 3q+1
      17: q^2+2q+1
      18: q^2+2q+1
      19: 3q+1
      20: 3q+1
      21: q^2+2q+1
      23: 2q^2+3q+1
      24: q^2+2q+1
      25: 2q+1
      26: 2q+1
      27: 3q^2+4q+1
      28: 3q+1
      29: 3q+1
      30: q^2+2q+1
      31: 2q^2+3q+1
      32: 2q+1
      33: q^2+2q+1
      34: 2q+1
      35: 2q^2+3q+1
      36: 2q+1
      37: q^2+2q+1
      38: 2q+1
      39: 2q+1
      40: 3q+1
      41: 3q+1
      42: 2q+1
      43: 2q+1
      44: q^2+2q+1
      45: 2q+1
      46: 2q+1
      47: q^2+2q+1
      48: 2q^2+3q+1
      50: 2q+1
      52: q^2+2q+1
      54: 2q+1
      56: 3q+1
      57: 3q+1
      58: q^2+2q+1
      60: 2q+1
      61: q+1
      62: 2q+1
      64: 2q^2+3q+1
      65: 2q+1
      66: q^2+2q+1
      67: 2q+1
      68: 2q^2+3q+1
      69: 2q+1
      70: q^2+2q+1
      71: 2q+1
      72: 2q^2+3q+1
      73: 2q+1
      74: q^2+2q+1
      75: 2q+1
      76: 2q+1
      78: 2q+1
      80: q^2+2q+1
      83: q+1
      84: 3q+1
      85: 2q+1
      86: q^2+2q+1
      87: q^2+2q+1
      88: 2q^2+3q+1
      90: 2q+1
      92: q^2+2q+1
      94: 2q+1
      96: 2q+1
      97: q+1
      98: 2q+1
      99: 2q+1
     100: 2q+1
     101: q+1
     102: 2q+1
     103: 2q+1
     104: 2q+1
     105: q+1
     106: 2q+1
     108: 2q+1
     109: 2q+1
     110: q+1
     112: q+1
     113: q+1
     114: q+1
     115: q+1
     116: q+1
     117: q+1
     118: q+1
     119: q+1
     120: q^2+2q+1
     121: q+1
     123: q+1
     124: q^2+2q+1
     126: 2q+1
     128: 2q+1
     130: 2q+1
     132: q+1
     135: q+1
     136: q+1
     138: q+1
     140: q+1
     142: q+1
     145: q+1
     146: q+1
     147: q+1
     148: q+1
     149: 1
     150: q+1
     152: 2q+1
     153: q+1
     154: q+1
     155: 1
     156: q+1
     157: 2q+1
     158: q+1
     160: q+1
     161: q+1
     162: q^2+2q+1
     164: q+1
     168: q+1
     170: 2q+1
     171: 2q+1
     172: q+1
     174: 1
     175: q+1
     176: 1
     178: 1
     179: q+1
     180: 1
     182: q+1
     183: 1
     185: 1
     186: 1
     188: q+1
     190: q+1
     192: q+1
     194: 2q+1
     200: q+1
     202: q+1
     204: q+1
     206: 1
     208: q+1
     210: 1
     216: q+1
     217: q+1
     218: 1
     219: q+1
     220: 1
     221: 1
     223: 1
     225: 1
     226: 1
     228: 1
     229: 1
     231: 1
     232: q+1
     234: 1
     238: 1
     240: 1
     243: q+1
     244: q+1
     245: 1
     247: 1
     248: 1
     249: q+1
     250: 1
     252: 1
     253: q+1
     254: 1
     256: 1
     257: 1
     262: 1
     264: 1
     266: 1
     268: 1
     270: q+1
     280: 1
     282: 1
     286: q+1
     288: 1
     290: q+1
     292: 1
     297: 1
     298: 1
     299: 1
     300: 1
     301: q+1
     303: 1
     307: 1
     311: 1
     314: 1
     315: 1
     319: 1
     320: 1
     321: 1
     325: 1
     327: 1
     333: 1
     335: 1
     338: 1
     339: 1
     342: 1
     343: 1
     348: 1
     352: 1
     354: 1
     356: 1
     358: 1
     360: 1
     380: 1
     382: 1
     392: 1
     394: 1
     396: 1
     402: 1
     405: 1
     409: 1
     413: 1
     415: 1
     423: 1
     432: 1
     433: 1
     446: 1
     448: 1
     450: 1
     476: 1
     499: 1
     501: 1
     508: 1
     543: 1

544:   0: 3q^2+4q+1
       1: 3q+1
       2: q^3+3q^2+3q+1
       3: 3q^2+4q+1
       4: q^3+3q^2+3q+1
       5: 3q+1
       6: 3q+1
       7: q^2+2q+1
       8: q^2+2q+1
       9: 3q+1
      10: q^2+2q+1
      11: q^2+2q+1
      12: q^2+2q+1
      13: q^2+2q+1
      15: 3q+1
      16: 3q+1
      17: q^2+2q+1
      18: q^2+2q+1
      19: 3q+1
      20: 3q+1
      21: q^2+2q+1
      23: 2q^2+3q+1
      24: q^2+2q+1
      25: 2q+1
      26: 2q+1
      27: 3q^2+4q+1
      28: 3q+1
      29: 3q+1
      30: q^2+2q+1
      31: 2q^2+3q+1
      32: 2q+1
      33: q^2+2q+1
      34: 2q+1
      35: 2q^2+3q+1
      36: 2q+1
      37: q^2+2q+1
      38: 2q+1
      39: 2q+1
      40: 3q+1
      41: 3q+1
      42: 2q+1
      43: 2q+1
      44: q^2+2q+1
      45: 2q+1
      46: 2q+1
      47: q^2+2q+1
      49: 2q^2+3q+1
      51: 2q+1
      53: q^2+2q+1
      55: 2q+1
      56: 3q+1
      57: 3q+1
      58: q^2+2q+1
      60: 2q+1
      61: q+1
      62: 2q+1
      64: 2q^2+3q+1
      65: 2q+1
      66: q^2+2q+1
      67: 2q+1
      68: 2q^2+3q+1
      69: 2q+1
      70: q^2+2q+1
      71: 2q+1
      72: 2q^2+3q+1
      73: 2q+1
      74: q^2+2q+1
      75: 2q+1
      77: 2q+1
      79: 2q+1
      81: q^2+2q+1
      83: q+1
      84: 3q+1
      85: 2q+1
      86: q^2+2q+1
      87: q^2+2q+1
      89: 2q^2+3q+1
      91: 2q+1
      93: q^2+2q+1
      95: 2q+1
      96: 2q+1
      97: q+1
      98: 2q+1
      99: 2q+1
     100: 2q+1
     101: q+1
     102: 2q+1
     103: 2q+1
     104: 2q+1
     105: q+1
     106: 2q+1
     108: 2q+1
     109: 2q+1
     110: q+1
     112: q+1
     113: q+1
     114: q+1
     115: q+1
     116: q+1
     117: q+1
     118: q+1
     119: q+1
     120: q^2+2q+1
     121: q+1
     123: q+1
     125: q^2+2q+1
     127: 2q+1
     129: 2q+1
     131: 2q+1
     133: q+1
     135: q+1
     137: q+1
     139: q+1
     141: q+1
     143: q+1
     145: q+1
     146: q+1
     147: q+1
     148: q+1
     149: 1
     150: q+1
     152: 2q+1
     153: q+1
     154: q+1
     155: 1
     156: q+1
     157: 2q+1
     158: q+1
     160: q+1
     161: q+1
     163: q^2+2q+1
     165: q+1
     169: q+1
     170: 2q+1
     171: 2q+1
     172: q+1
     174: 1
     175: q+1
     176: 1
     178: 1
     179: q+1
     180: 1
     182: q+1
     183: 1
     185: 1
     187: 1
     189: q+1
     191: q+1
     193: q+1
     195: 2q+1
     201: q+1
     203: q+1
     205: q+1
     207: 1
     209: q+1
     211: 1
     216: q+1
     217: q+1
     218: 1
     219: q+1
     220: 1
     221: 1
     223: 1
     225: 1
     226: 1
     228: 1
     229: 1
     231: 1
     233: q+1
     235: 1
     239: 1
     240: 1
     243: q+1
     244: q+1
     245: 1
     247: 1
     248: 1
     249: q+1
     250: 1
     252: 1
     253: q+1
     254: 1
     256: 1
     257: 1
     263: 1
     265: 1
     267: 1
     269: 1
     271: q+1
     281: 1
     283: 1
     287: q+1
     289: 1
     291: q+1
     293: 1
     297: 1
     298: 1
     299: 1
     300: 1
     302: q+1
     304: 1
     308: 1
     311: 1
     314: 1
     315: 1
     319: 1
     320: 1
     321: 1
     326: 1
     328: 1
     333: 1
     335: 1
     338: 1
     339: 1
     342: 1
     343: 1
     349: 1
     353: 1
     355: 1
     357: 1
     359: 1
     361: 1
     381: 1
     383: 1
     392: 1
     395: 1
     397: 1
     402: 1
     405: 1
     409: 1
     414: 1
     416: 1
     423: 1
     432: 1
     433: 1
     447: 1
     449: 1
     451: 1
     477: 1
     500: 1
     502: 1
     508: 1
     544: 1

545:   0: q+1
       1: q+1
       3: q+1
       4: q+1
       5: q+1
       6: q+1
       7: q+1
       9: q+1
      10: q+1
      11: q+1
      13: q+1
      14: q+1
      15: q+1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      20: q+1
      21: q+1
      22: q+1
      25: 1
      26: 1
      27: q+1
      28: q+1
      29: q+1
      31: q+1
      32: q+1
      34: q+1
      35: q+1
      36: q+1
      38: q+1
      39: 1
      40: q+1
      41: q+1
      42: q+1
      43: q+1
      45: q+1
      46: q+1
      48: q+1
      50: q+1
      54: q+1
      56: q+1
      57: q+1
      58: q+1
      59: q+1
      62: 1
      63: 1
      65: 1
      67: 1
      68: q+1
      69: q+1
      71: q+1
      72: q+1
      73: q+1
      75: q+1
      76: q+1
      78: q+1
      82: 1
      84: q+1
      85: 1
      88: q+1
      90: q+1
      94: q+1
      96: q+1
      98: q+1
      99: q+1
     100: q+1
     102: q+1
     103: q+1
     106: 1
     107: 1
     109: 1
     111: 1
     113: 1
     115: 1
     117: 1
     119: 1
     120: q+1
     121: q+1
     123: q+1
     126: q+1
     128: q+1
     130: q+1
     134: 1
     138: 1
     142: 1
     144: 1
     150: 1
     152: q+1
     156: 1
     157: q+1
     160: q+1
     161: q+1
     162: q+1
     164: q+1
     168: q+1
     171: 1
     173: 1
     175: 1
     177: 1
     179: 1
     181: 1
     183: 1
     185: 1
     188: 1
     194: q+1
     202: q+1
     204: q+1
     208: 1
     212: 1
     215: 1
     222: 1
     227: 1
     234: 1
     238: 1
     240: 1
     243: q+1
     245: 1
     247: 1
     249: 1
     251: 1
     253: 1
     255: 1
     257: 1
     259: 1
     260: 1
     282: 1
     286: q+1
     290: 1
     294: 1
     300: 1
     303: 1
     307: 1
     310: 1
     318: 1
     327: 1
     331: 1
     334: 1
     339: 1
     341: 1
     343: 1
     345: 1
     346: 1
     360: 1
     378: 1
     393: 1
     396: 1
     400: 1
     415: 1
     419: 1
     422: 1
     433: 1
     435: 1
     452: 1
     474: 1
     501: 1
     505: 1
     507: 1
     545: 1

546:   0: q+1
       1: q+1
       3: q+1
       4: q+1
       5: q+1
       6: q+1
       7: q+1
       9: q+1
      10: q+1
      11: q+1
      13: q+1
      14: q+1
      15: q+1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      20: q+1
      21: q+1
      22: q+1
      25: 1
      26: 1
      27: q+1
      28: q+1
      29: q+1
      31: q+1
      32: q+1
      34: q+1
      35: q+1
      36: q+1
      38: q+1
      39: 1
      40: q+1
      41: q+1
      42: q+1
      43: q+1
      45: q+1
      46: q+1
      49: q+1
      51: q+1
      55: q+1
      56: q+1
      57: q+1
      58: q+1
      59: q+1
      62: 1
      63: 1
      65: 1
      67: 1
      68: q+1
      69: q+1
      71: q+1
      72: q+1
      73: q+1
      75: q+1
      77: q+1
      79: q+1
      82: 1
      84: q+1
      85: 1
      89: q+1
      91: q+1
      95: q+1
      96: q+1
      98: q+1
      99: q+1
     100: q+1
     102: q+1
     103: q+1
     106: 1
     107: 1
     109: 1
     111: 1
     113: 1
     115: 1
     117: 1
     119: 1
     120: q+1
     121: q+1
     123: q+1
     127: q+1
     129: q+1
     131: q+1
     134: 1
     139: 1
     143: 1
     144: 1
     150: 1
     152: q+1
     156: 1
     157: q+1
     160: q+1
     161: q+1
     163: q+1
     165: q+1
     169: q+1
     171: 1
     173: 1
     175: 1
     177: 1
     179: 1
     181: 1
     183: 1
     185: 1
     189: 1
     195: q+1
     203: q+1
     205: q+1
     209: 1
     213: 1
     215: 1
     222: 1
     227: 1
     235: 1
     239: 1
     240: 1
     243: q+1
     245: 1
     247: 1
     249: 1
     251: 1
     253: 1
     255: 1
     257: 1
     259: 1
     261: 1
     283: 1
     287: q+1
     291: 1
     295: 1
     300: 1
     304: 1
     308: 1
     310: 1
     318: 1
     328: 1
     332: 1
     334: 1
     339: 1
     341: 1
     343: 1
     345: 1
     347: 1
     361: 1
     379: 1
     393: 1
     397: 1
     401: 1
     416: 1
     420: 1
     422: 1
     433: 1
     435: 1
     453: 1
     475: 1
     502: 1
     506: 1
     507: 1
     546: 1

547:   0: q^3+4q^2+6q+1
       1: 3q^2+4q+1
       2: 5q^2+6q+1
       3: q^3+4q^2+6q+1
       4: 5q^2+6q+1
       6: 3q^2+4q+1
       7: q^3+4q^2+4q+1
       8: q^3+6q^2+6q+1
      11: q^3+2q^2+2q+1
      12: q^3+6q^2+6q+1
      19: 2q^2+4q+1
      20: 2q^2+4q+1
      21: 3q^2+4q+1
      23: 2q^2+6q+1
      24: 3q^2+6q+1
      25: 2q^2+2q+1
      27: q^3+4q^2+6q+1
      28: 3q^2+4q+1
      30: q^3+6q^2+6q+1
      31: 2q^2+6q+1
      32: 2q^2+4q+1
      33: 3q^2+6q+1
      35: 2q^2+6q+1
      36: 2q^2+4q+1
      37: 3q^2+6q+1
      41: 2q^2+4q+1
      43: q^2+4q+1
      44: q^2+6q+1
      46: q^2+4q+1
      47: q^2+6q+1
      48: 4q+1
      49: 2q
      50: 3q+1
      51: q^2+q
      52: q^2+4q+1
      53: 2q
      60: 4q+1
      61: q^2+4q+1
      62: q^2+2q+1
      64: 2q^2+6q+1
      65: 2q^2+2q+1
      66: 3q^2+6q+1
      68: 2q^2+6q+1
      69: 2q^2+4q+1
      70: 3q^2+6q+1
      72: 2q^2+6q+1
      73: 2q^2+4q+1
      74: 3q^2+6q+1
      78: 3q+1
      79: q
      80: 4q+1
      81: 2q
      83: 2q+1
      86: q^2+6q+1
      87: q^2+6q+1
      88: 4q+1
      89: 2q
      90: 3q+1
      91: q^2+q
      92: q^2+4q+1
      93: 2q
      97: 4q+1
      99: q^2+4q+1
     101: 4q+1
     103: q^2+4q+1
     108: 4q+1
     109: q^2+2q+1
     110: q^2+4q+1
     112: q^2+5q+1
     113: q^2+2q+1
     114: q^2+5q+1
     116: q^2+5q+1
     117: q^2+2q+1
     118: q^2+5q+1
     120: 5q+1
     121: 3q+1
     122: q^2+6q+1
     124: 4q+1
     125: 2q
     128: 3q+1
     129: q
     132: 3q+1
     133: q
     136: 2q+1
     138: q+1
     140: 2q+1
     145: 2q+1
     146: 4q+1
     147: 4q+1
     149: 2q+1
     151: 3q+1
     153: q^2+5q+1
     155: 2q+1
     158: q^2+5q+1
     159: 3q+1
     161: 3q+1
     162: 3q+1
     163: 2q
     164: 2q+1
     165: q
     166: q^2+4q+1
     167: 2q
     174: 2q+1
     175: q+1
     176: 2q+1
     178: 2q+1
     179: q+1
     180: 2q+1
     182: 2q+1
     183: q+1
     184: 3q+1
     186: q+1
     190: 2q+1
     192: 3q+1
     193: q
     196: 2q+1
     197: q
     198: 2q+1
     199: q
     204: 2q+1
     205: q
     218: 2q+1
     220: 2q+1
     223: q+1
     224: q+1
     225: 2q+1
     228: q+1
     229: 2q+1
     230: q+1
     231: q+1
     232: 1
     234: 1
     236: q+1
     241: q+1
     242: q+1
     244: 2q+1
     245: q+1
     246: 3q+1
     256: 1
     257: 1
     258: q+1
     268: q+1
     272: 1
     274: q+1
     276: 1
     278: q+1
     280: 1
     284: 1
     299: q+1
     301: 1
     303: 1
     305: q+1
     313: 1
     315: q+1
     316: q+1
     321: q+1
     323: 1
     324: q+1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: q+1
     358: 1
     362: 1
     368: 1
     370: 1
     376: 1
     384: 1
     386: 2
     388: 1
     402: 1
     406: 1
     407: 1
     411: 1
     412: 1
     425: 1
     427: 1
     436: 1
     438: 1
     460: 1
     470: 1
     480: 1
     486: 1
     514: 1
     520: 1
     547: 1

548:   0: q^3+4q^2+6q+1
       1: 3q^2+4q+1
       2: 5q^2+6q+1
       3: q^3+4q^2+6q+1
       4: 5q^2+6q+1
       6: 3q^2+4q+1
       7: q^3+4q^2+4q+1
       8: q^3+6q^2+6q+1
      11: q^3+2q^2+2q+1
      12: q^3+6q^2+6q+1
      19: 2q^2+4q+1
      20: 2q^2+4q+1
      21: 3q^2+4q+1
      23: 2q^2+6q+1
      24: 3q^2+6q+1
      25: 2q^2+2q+1
      27: q^3+4q^2+6q+1
      28: 3q^2+4q+1
      30: q^3+6q^2+6q+1
      31: 2q^2+6q+1
      32: 2q^2+4q+1
      33: 3q^2+6q+1
      35: 2q^2+6q+1
      36: 2q^2+4q+1
      37: 3q^2+6q+1
      41: 2q^2+4q+1
      43: q^2+4q+1
      44: q^2+6q+1
      46: q^2+4q+1
      47: q^2+6q+1
      48: 2q
      49: 4q+1
      50: q^2+q
      51: 3q+1
      52: 2q
      53: q^2+4q+1
      60: 4q+1
      61: q^2+4q+1
      62: q^2+2q+1
      64: 2q^2+6q+1
      65: 2q^2+2q+1
      66: 3q^2+6q+1
      68: 2q^2+6q+1
      69: 2q^2+4q+1
      70: 3q^2+6q+1
      72: 2q^2+6q+1
      73: 2q^2+4q+1
      74: 3q^2+6q+1
      78: q
      79: 3q+1
      80: 2q
      81: 4q+1
      83: 2q+1
      86: q^2+6q+1
      87: q^2+6q+1
      88: 2q
      89: 4q+1
      90: q^2+q
      91: 3q+1
      92: 2q
      93: q^2+4q+1
      97: 4q+1
      99: q^2+4q+1
     101: 4q+1
     103: q^2+4q+1
     108: 4q+1
     109: q^2+2q+1
     110: q^2+4q+1
     112: q^2+5q+1
     113: q^2+2q+1
     114: q^2+5q+1
     116: q^2+5q+1
     117: q^2+2q+1
     118: q^2+5q+1
     120: 5q+1
     121: 3q+1
     122: q^2+6q+1
     124: 2q
     125: 4q+1
     128: q
     129: 3q+1
     132: q
     133: 3q+1
     137: 2q+1
     139: q+1
     141: 2q+1
     145: 2q+1
     146: 4q+1
     147: 4q+1
     149: 2q+1
     151: 3q+1
     153: q^2+5q+1
     155: 2q+1
     158: q^2+5q+1
     159: 3q+1
     161: 3q+1
     162: 2q
     163: 3q+1
     164: q
     165: 2q+1
     166: 2q
     167: q^2+4q+1
     174: 2q+1
     175: q+1
     176: 2q+1
     178: 2q+1
     179: q+1
     180: 2q+1
     182: 2q+1
     183: q+1
     184: 3q+1
     187: q+1
     191: 2q+1
     192: q
     193: 3q+1
     196: q
     197: 2q+1
     198: q
     199: 2q+1
     204: q
     205: 2q+1
     218: 2q+1
     220: 2q+1
     223: q+1
     224: q+1
     225: 2q+1
     228: q+1
     229: 2q+1
     230: q+1
     231: q+1
     233: 1
     235: 1
     237: q+1
     241: q+1
     242: q+1
     244: 2q+1
     245: q+1
     246: 3q+1
     256: 1
     257: 1
     258: q+1
     269: q+1
     273: 1
     275: q+1
     277: 1
     279: q+1
     281: 1
     285: 1
     299: q+1
     302: 1
     304: 1
     306: q+1
     313: 1
     315: q+1
     316: q+1
     321: q+1
     323: 1
     324: q+1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: q+1
     359: 1
     363: 1
     369: 1
     371: 1
     377: 1
     385: 1
     387: 2
     389: 1
     402: 1
     406: 1
     407: 1
     411: 1
     412: 1
     425: 1
     427: 1
     440: 1
     441: 1
     461: 1
     471: 1
     481: 1
     487: 1
     514: 1
     520: 1
     548: 1

549:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+1
       3: q+1
       4: q^2+2q+1
       6: q+1
       7: q^2+2q+1
       8: q^2+2q+1
      11: q+1
      12: q^3+2q^2+2q+1
      19: q^2+2q+1
      20: q+1
      21: q^2+2q+1
      23: q^2+2q+1
      24: q^2+2q+1
      25: q+1
      27: q+1
      28: q+1
      30: q^2+2q+1
      31: q^2+2q+1
      32: q^2+2q+1
      33: q^2+2q+1
      35: q+1
      36: q+1
      37: q+1
      41: q+1
      43: q^2+2q+1
      44: q^2+2q+1
      46: q+1
      47: q+1
      48: q+1
      50: q+1
      52: q+1
      60: q^2+2q+1
      61: q^2+2q+1
      62: q+1
      64: q+1
      65: q+1
      66: q^2+2q+1
      68: q+1
      69: q+1
      70: q^2+2q+1
      72: 1
      73: 1
      74: q+1
      78: q+1
      80: q+1
      83: q+1
      86: 1
      87: q+1
      88: 1
      90: 1
      92: q+1
      97: q^2+2q+1
      99: q+1
     101: q+1
     103: 1
     108: q+1
     109: q+1
     110: q^2+2q+1
     112: q+1
     113: q+1
     114: q^2+2q+1
     116: 1
     117: 1
     118: q+1
     120: 1
     121: 1
     122: q+1
     124: 1
     128: 1
     132: q+1
     136: 1
     138: 1
     140: q+1
     145: q+1
     146: 1
     147: q+1
     149: q+1
     151: 1
     153: q+1
     155: 1
     158: 1
     161: 1
     162: 1
     164: 1
     166: q+1
     174: q+1
     175: q+1
     176: q^2+2q+1
     178: 1
     179: 1
     180: q+1
     182: 1
     183: 1
     184: q+1
     186: 1
     190: 1
     192: 1
     196: 1
     204: 1
     206: 1
     208: 1
     210: q+1
     218: 1
     220: q+1
     223: q+1
     224: 1
     225: q+1
     228: 1
     229: 1
     231: 1
     232: 1
     234: 1
     236: q+1
     241: 1
     244: 1
     246: 1
     256: 1
     257: 1
     258: q+1
     262: 1
     266: 1
     268: 1
     272: 1
     274: 1
     280: 1
     301: 1
     305: 1
     313: 1
     315: q+1
     316: 1
     321: 1
     325: 1
     327: 1
     329: q+1
     335: 1
     336: 1
     338: 1
     340: 1
     354: 1
     362: 1
     364: 1
     368: 1
     380: 1
     394: 1
     398: 1
     407: 1
     425: 1
     428: 1
     430: 1
     454: 1
     462: 1
     489: 1
     493: 1
     509: 1
     549: 1

550:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+1
       3: q+1
       4: q^2+2q+1
       6: q+1
       7: q^2+2q+1
       8: q^2+2q+1
      11: q+1
      12: q^3+2q^2+2q+1
      19: q^2+2q+1
      20: q+1
      21: q^2+2q+1
      23: q^2+2q+1
      24: q^2+2q+1
      25: q+1
      27: q+1
      28: q+1
      30: q^2+2q+1
      31: q^2+2q+1
      32: q^2+2q+1
      33: q^2+2q+1
      35: q+1
      36: q+1
      37: q+1
      41: q+1
      43: q^2+2q+1
      44: q^2+2q+1
      46: q+1
      47: q+1
      49: q+1
      51: q+1
      53: q+1
      60: q^2+2q+1
      61: q^2+2q+1
      62: q+1
      64: q+1
      65: q+1
      66: q^2+2q+1
      68: q+1
      69: q+1
      70: q^2+2q+1
      72: 1
      73: 1
      74: q+1
      79: q+1
      81: q+1
      83: q+1
      86: 1
      87: q+1
      89: 1
      91: 1
      93: q+1
      97: q^2+2q+1
      99: q+1
     101: q+1
     103: 1
     108: q+1
     109: q+1
     110: q^2+2q+1
     112: q+1
     113: q+1
     114: q^2+2q+1
     116: 1
     117: 1
     118: q+1
     120: 1
     121: 1
     122: q+1
     125: 1
     129: 1
     133: q+1
     137: 1
     139: 1
     141: q+1
     145: q+1
     146: 1
     147: q+1
     149: q+1
     151: 1
     153: q+1
     155: 1
     158: 1
     161: 1
     163: 1
     165: 1
     167: q+1
     174: q+1
     175: q+1
     176: q^2+2q+1
     178: 1
     179: 1
     180: q+1
     182: 1
     183: 1
     184: q+1
     187: 1
     191: 1
     193: 1
     197: 1
     205: 1
     207: 1
     209: 1
     211: q+1
     218: 1
     220: q+1
     223: q+1
     224: 1
     225: q+1
     228: 1
     229: 1
     231: 1
     233: 1
     235: 1
     237: q+1
     241: 1
     244: 1
     246: 1
     256: 1
     257: 1
     258: q+1
     263: 1
     267: 1
     269: 1
     273: 1
     275: 1
     281: 1
     302: 1
     306: 1
     313: 1
     315: q+1
     316: 1
     321: 1
     326: 1
     328: 1
     330: q+1
     335: 1
     336: 1
     338: 1
     340: 1
     355: 1
     363: 1
     365: 1
     369: 1
     381: 1
     395: 1
     399: 1
     407: 1
     425: 1
     428: 1
     430: 1
     455: 1
     463: 1
     490: 1
     494: 1
     509: 1
     550: 1

551:   0: 3q+1
       1: 3q+1
       2: 3q+1
       3: q^2+2q+1
       4: 3q+1
       5: q^3+2q+1
       6: q^2+2q+1
       7: 3q+1
       8: 3q+1
       9: q+1
      10: q^3+2q+1
      11: q^2+2q+1
      12: q^2+2q+1
      13: q+1
      14: q+1
      15: 2q+1
      16: q+1
      17: 2q+1
      18: q+1
      19: 3q+1
      20: q^2+2q+1
      21: 3q+1
      22: q+1
      23: 3q+1
      24: 3q+1
      25: q^2+2q+1
      26: q+1
      27: 2q+1
      28: 2q+1
      29: q+1
      30: 2q+1
      31: 3q+1
      32: 3q+1
      33: 3q+1
      34: q^3+2q+1
      35: q+1
      36: q+1
      37: q+1
      38: q+1
      39: q+1
      40: q+1
      41: 2q+1
      42: 2q+1
      43: 3q+1
      44: 3q+1
      45: q+1
      46: q+1
      47: q+1
      48: q+1
      50: q+1
      52: q+1
      54: q+1
      56: 2q+1
      57: q+1
      58: 2q+1
      59: q+1
      60: 3q+1
      61: 3q+1
      62: q^2+2q+1
      63: q+1
      64: 2q+1
      65: 2q+1
      66: 2q+1
      67: q+1
      68: 2q+1
      69: 2q+1
      70: 2q+1
      71: q+1
      72: 1
      73: 1
      74: 1
      75: 1
      76: q+1
      78: q+1
      80: q+1
      82: q+1
      83: 2q+1
      84: q+1
      85: q+1
      86: 1
      87: q+1
      88: 1
      90: 1
      92: 1
      94: 1
      96: 2q+1
      97: 3q+1
      98: q+1
      99: 2q+1
     100: q+1
     101: q+1
     102: 1
     103: 1
     104: 2q+1
     105: 2q+1
     106: q+1
     107: q+1
     108: 2q+1
     109: 2q+1
     110: 2q+1
     111: q+1
     112: 2q+1
     113: 2q+1
     114: 2q+1
     115: q+1
     116: 1
     117: 1
     118: 1
     119: 1
     120: 1
     121: 1
     122: 1
     123: 1
     124: 1
     126: 1
     128: 1
     130: q+1
     132: q+1
     134: q+1
     135: q+1
     136: 1
     138: 1
     140: 1
     142: 1
     144: q+1
     145: 2q+1
     146: 1
     147: q+1
     148: 2q+1
     149: 2q+1
     150: q+1
     151: 1
     152: q+1
     153: q+1
     154: q+1
     155: 1
     156: 1
     157: 1
     158: 1
     160: 1
     161: 1
     162: 1
     164: 1
     166: 1
     168: 1
     170: 1
     171: 1
     172: q+1
     173: 1
     174: 2q+1
     175: 2q+1
     176: 2q+1
     177: q+1
     178: 1
     179: 1
     180: 1
     181: 1
     182: 1
     183: 1
     184: 1
     185: 1
     186: 1
     188: 1
     190: 1
     192: 1
     194: 1
     196: 1
     200: q+1
     202: 1
     204: 1
     206: 1
     208: 1
     210: 1
     212: 1
     214: q+1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: q+1
     221: q+1
     222: q+1
     223: 2q+1
     224: 1
     225: q+1
     226: 1
     227: 1
     228: 1
     229: 1
     231: 1
     232: 1
     234: 1
     236: 1
     238: 1
     240: 1
     241: 1
     243: 1
     248: 1
     249: 1
     250: q+1
     251: 1
     256: 1
     257: 1
     258: 1
     259: 1
     260: 1
     262: 1
     264: 1
     266: 1
     268: 1
     270: 1
     272: 1
     274: 1
     280: 1
     282: 1
     286: 1
     296: 1
     297: 1
     298: 1
     309: q+1
     310: 1
     311: 1
     312: 1
     313: 1
     314: 1
     315: q+1
     317: 1
     321: 1
     325: 1
     327: 1
     329: 1
     331: 1
     333: 1
     334: 1
     335: 1
     336: 1
     350: 1
     354: 1
     356: 1
     362: 1
     364: 1
     366: 1
     378: 1
     380: 1
     382: 1
     390: 1
     391: 1
     403: 1
     404: 1
     405: 1
     421: 1
     425: 1
     444: 1
     454: 1
     456: 1
     478: 1
     510: 1
     511: 1
     551: 1

552:   0: 3q+1
       1: 3q+1
       2: 3q+1
       3: q^2+2q+1
       4: 3q+1
       5: q^3+2q+1
       6: q^2+2q+1
       7: 3q+1
       8: 3q+1
       9: q+1
      10: q^3+2q+1
      11: q^2+2q+1
      12: q^2+2q+1
      13: q+1
      14: q+1
      15: 2q+1
      16: q+1
      17: 2q+1
      18: q+1
      19: 3q+1
      20: q^2+2q+1
      21: 3q+1
      22: q+1
      23: 3q+1
      24: 3q+1
      25: q^2+2q+1
      26: q+1
      27: 2q+1
      28: 2q+1
      29: q+1
      30: 2q+1
      31: 3q+1
      32: 3q+1
      33: 3q+1
      34: q^3+2q+1
      35: q+1
      36: q+1
      37: q+1
      38: q+1
      39: q+1
      40: q+1
      41: 2q+1
      42: 2q+1
      43: 3q+1
      44: 3q+1
      45: q+1
      46: q+1
      47: q+1
      49: q+1
      51: q+1
      53: q+1
      55: q+1
      56: 2q+1
      57: q+1
      58: 2q+1
      59: q+1
      60: 3q+1
      61: 3q+1
      62: q^2+2q+1
      63: q+1
      64: 2q+1
      65: 2q+1
      66: 2q+1
      67: q+1
      68: 2q+1
      69: 2q+1
      70: 2q+1
      71: q+1
      72: 1
      73: 1
      74: 1
      75: 1
      77: q+1
      79: q+1
      81: q+1
      82: q+1
      83: 2q+1
      84: q+1
      85: q+1
      86: 1
      87: q+1
      89: 1
      91: 1
      93: 1
      95: 1
      96: 2q+1
      97: 3q+1
      98: q+1
      99: 2q+1
     100: q+1
     101: q+1
     102: 1
     103: 1
     104: 2q+1
     105: 2q+1
     106: q+1
     107: q+1
     108: 2q+1
     109: 2q+1
     110: 2q+1
     111: q+1
     112: 2q+1
     113: 2q+1
     114: 2q+1
     115: q+1
     116: 1
     117: 1
     118: 1
     119: 1
     120: 1
     121: 1
     122: 1
     123: 1
     125: 1
     127: 1
     129: 1
     131: q+1
     133: q+1
     134: q+1
     135: q+1
     137: 1
     139: 1
     141: 1
     143: 1
     144: q+1
     145: 2q+1
     146: 1
     147: q+1
     148: 2q+1
     149: 2q+1
     150: q+1
     151: 1
     152: q+1
     153: q+1
     154: q+1
     155: 1
     156: 1
     157: 1
     158: 1
     160: 1
     161: 1
     163: 1
     165: 1
     167: 1
     169: 1
     170: 1
     171: 1
     172: q+1
     173: 1
     174: 2q+1
     175: 2q+1
     176: 2q+1
     177: q+1
     178: 1
     179: 1
     180: 1
     181: 1
     182: 1
     183: 1
     184: 1
     185: 1
     187: 1
     189: 1
     191: 1
     193: 1
     195: 1
     197: 1
     201: q+1
     203: 1
     205: 1
     207: 1
     209: 1
     211: 1
     213: 1
     214: q+1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: q+1
     221: q+1
     222: q+1
     223: 2q+1
     224: 1
     225: q+1
     226: 1
     227: 1
     228: 1
     229: 1
     231: 1
     233: 1
     235: 1
     237: 1
     239: 1
     240: 1
     241: 1
     243: 1
     248: 1
     249: 1
     250: q+1
     251: 1
     256: 1
     257: 1
     258: 1
     259: 1
     261: 1
     263: 1
     265: 1
     267: 1
     269: 1
     271: 1
     273: 1
     275: 1
     281: 1
     283: 1
     287: 1
     296: 1
     297: 1
     298: 1
     309: q+1
     310: 1
     311: 1
     312: 1
     313: 1
     314: 1
     315: q+1
     317: 1
     321: 1
     326: 1
     328: 1
     330: 1
     332: 1
     333: 1
     334: 1
     335: 1
     336: 1
     351: 1
     355: 1
     357: 1
     363: 1
     365: 1
     367: 1
     379: 1
     381: 1
     383: 1
     390: 1
     391: 1
     403: 1
     404: 1
     405: 1
     421: 1
     425: 1
     445: 1
     455: 1
     457: 1
     479: 1
     510: 1
     511: 1
     552: 1

553:   0: 2q^2+3q+1
       1: 2q+1
       2: 2q^2+3q+1
       3: q^3+2q^2+2q+1
       4: 2q^2+3q+1
       5: 2q+1
       6: q^2+q+1
       7: 2q+1
       8: 2q^2+3q+1
       9: q^2+q+1
      10: 2q+1
      11: q^2+q+1
      12: q^3+2q^2+2q+1
      13: q^2+q+1
      15: 2q+1
      16: q^2+q+1
      17: 2q+1
      18: q^2+q+1
      19: 2q+1
      20: q^2+q+1
      21: 2q+1
      23: 2q^2+3q+1
      24: 2q^2+3q+1
      25: q^2+q+1
      26: q^2+q+1
      27: q^2+2q+1
      28: q+1
      29: q+1
      30: q^2+2q+1
      31: 2q^2+3q+1
      32: 2q+1
      33: 2q^2+3q+1
      34: 2q+1
      35: q^2+2q+1
      36: q+1
      37: q^2+2q+1
      38: q+1
      39: q^2+q+1
      40: q+1
      41: q+1
      42: 2q+1
      43: 2q+1
      44: 2q^2+3q+1
      45: q+1
      46: q+1
      47: q^2+2q+1
      48: q^2+2q+1
      50: q+1
      52: q^2+2q+1
      54: q+1
      56: 2q+1
      57: q^2+q+1
      58: 2q+1
      60: 2q+1
      61: 2q+1
      62: q^2+q+1
      64: q^2+2q+1
      65: q+1
      66: q^2+2q+1
      67: q+1
      68: q^2+2q+1
      69: q+1
      70: q^2+2q+1
      71: q+1
      72: q+1
      73: 1
      74: q+1
      75: 1
      76: q+1
      78: q+1
      80: q^2+2q+1
      83: q+1
      84: q+1
      85: q+1
      86: q+1
      87: q+1
      88: q+1
      90: 1
      92: q+1
      94: 1
      96: 2q+1
      97: 2q+1
      98: q+1
      99: q+1
     100: q+1
     101: q+1
     102: 1
     103: 1
     104: 2q+1
     105: 2q+1
     106: q^2+q+1
     108: q+1
     109: q+1
     110: q+1
     112: q^2+2q+1
     113: q+1
     114: q^2+2q+1
     115: q+1
     116: q+1
     117: 1
     118: q+1
     119: 1
     120: q+1
     121: 1
     122: q+1
     123: 1
     124: q+1
     126: 1
     128: 1
     130: q+1
     132: q+1
     135: q+1
     136: q+1
     138: 1
     140: q+1
     142: 1
     145: q+1
     146: 1
     147: 1
     148: 2q+1
     149: q+1
     150: q+1
     151: q+1
     152: q+1
     153: q+1
     154: q+1
     155: 1
     156: 1
     157: 1
     158: q+1
     160: 1
     161: 1
     162: q+1
     164: 1
     166: q+1
     168: 1
     170: q+1
     171: q+1
     172: q+1
     174: q+1
     175: q+1
     176: q+1
     178: 1
     179: 1
     180: 1
     182: q+1
     183: 1
     184: q+1
     185: 1
     186: 1
     188: 1
     190: q+1
     192: 1
     194: 1
     196: q+1
     200: q+1
     202: 1
     204: 1
     206: 1
     208: 1
     210: 1
     216: q+1
     217: 1
     218: 1
     219: 1
     220: 1
     221: q+1
     223: q+1
     224: 1
     225: 1
     226: 1
     228: 1
     229: 1
     231: 1
     232: q+1
     234: 1
     236: q+1
     238: 1
     240: 1
     241: q+1
     243: 1
     248: q+1
     249: q+1
     250: q+1
     252: 1
     253: 1
     254: 1
     256: 1
     257: 1
     258: 1
     262: 1
     264: 1
     266: 1
     268: 1
     270: 1
     272: q+1
     274: 1
     280: 1
     282: 1
     286: 1
     288: 1
     290: 1
     292: 1
     297: 1
     298: 1
     311: q+1
     312: 1
     313: 1
     314: 1
     315: 1
     319: 1
     320: 1
     321: 1
     325: 1
     327: 1
     329: 1
     333: 1
     335: 1
     336: 1
     342: 1
     343: 1
     344: 1
     348: 1
     352: 1
     354: 1
     356: 1
     362: 1
     364: 1
     366: 1
     380: 1
     382: 1
     404: 1
     405: 1
     409: 1
     413: 1
     415: 1
     417: 1
     423: 1
     424: 1
     425: 1
     446: 1
     454: 1
     456: 1
     458: 1
     476: 1
     522: 1
     553: 1

554:   0: 2q^2+3q+1
       1: 2q+1
       2: 2q^2+3q+1
       3: q^3+2q^2+2q+1
       4: 2q^2+3q+1
       5: 2q+1
       6: q^2+q+1
       7: 2q+1
       8: 2q^2+3q+1
       9: q^2+q+1
      10: 2q+1
      11: q^2+q+1
      12: q^3+2q^2+2q+1
      13: q^2+q+1
      15: 2q+1
      16: q^2+q+1
      17: 2q+1
      18: q^2+q+1
      19: 2q+1
      20: q^2+q+1
      21: 2q+1
      23: 2q^2+3q+1
      24: 2q^2+3q+1
      25: q^2+q+1
      26: q^2+q+1
      27: q^2+2q+1
      28: q+1
      29: q+1
      30: q^2+2q+1
      31: 2q^2+3q+1
      32: 2q+1
      33: 2q^2+3q+1
      34: 2q+1
      35: q^2+2q+1
      36: q+1
      37: q^2+2q+1
      38: q+1
      39: q^2+q+1
      40: q+1
      41: q+1
      42: 2q+1
      43: 2q+1
      44: 2q^2+3q+1
      45: q+1
      46: q+1
      47: q^2+2q+1
      49: q^2+2q+1
      51: q+1
      53: q^2+2q+1
      55: q+1
      56: 2q+1
      57: q^2+q+1
      58: 2q+1
      60: 2q+1
      61: 2q+1
      62: q^2+q+1
      64: q^2+2q+1
      65: q+1
      66: q^2+2q+1
      67: q+1
      68: q^2+2q+1
      69: q+1
      70: q^2+2q+1
      71: q+1
      72: q+1
      73: 1
      74: q+1
      75: 1
      77: q+1
      79: q+1
      81: q^2+2q+1
      83: q+1
      84: q+1
      85: q+1
      86: q+1
      87: q+1
      89: q+1
      91: 1
      93: q+1
      95: 1
      96: 2q+1
      97: 2q+1
      98: q+1
      99: q+1
     100: q+1
     101: q+1
     102: 1
     103: 1
     104: 2q+1
     105: 2q+1
     106: q^2+q+1
     108: q+1
     109: q+1
     110: q+1
     112: q^2+2q+1
     113: q+1
     114: q^2+2q+1
     115: q+1
     116: q+1
     117: 1
     118: q+1
     119: 1
     120: q+1
     121: 1
     122: q+1
     123: 1
     125: q+1
     127: 1
     129: 1
     131: q+1
     133: q+1
     135: q+1
     137: q+1
     139: 1
     141: q+1
     143: 1
     145: q+1
     146: 1
     147: 1
     148: 2q+1
     149: q+1
     150: q+1
     151: q+1
     152: q+1
     153: q+1
     154: q+1
     155: 1
     156: 1
     157: 1
     158: q+1
     160: 1
     161: 1
     163: q+1
     165: 1
     167: q+1
     169: 1
     170: q+1
     171: q+1
     172: q+1
     174: q+1
     175: q+1
     176: q+1
     178: 1
     179: 1
     180: 1
     182: q+1
     183: 1
     184: q+1
     185: 1
     187: 1
     189: 1
     191: q+1
     193: 1
     195: 1
     197: q+1
     201: q+1
     203: 1
     205: 1
     207: 1
     209: 1
     211: 1
     216: q+1
     217: 1
     218: 1
     219: 1
     220: 1
     221: q+1
     223: q+1
     224: 1
     225: 1
     226: 1
     228: 1
     229: 1
     231: 1
     233: q+1
     235: 1
     237: q+1
     239: 1
     240: 1
     241: q+1
     243: 1
     248: q+1
     249: q+1
     250: q+1
     252: 1
     253: 1
     254: 1
     256: 1
     257: 1
     258: 1
     263: 1
     265: 1
     267: 1
     269: 1
     271: 1
     273: q+1
     275: 1
     281: 1
     283: 1
     287: 1
     289: 1
     291: 1
     293: 1
     297: 1
     298: 1
     311: q+1
     312: 1
     313: 1
     314: 1
     315: 1
     319: 1
     320: 1
     321: 1
     326: 1
     328: 1
     330: 1
     333: 1
     335: 1
     336: 1
     342: 1
     343: 1
     344: 1
     349: 1
     353: 1
     355: 1
     357: 1
     363: 1
     365: 1
     367: 1
     381: 1
     383: 1
     404: 1
     405: 1
     409: 1
     414: 1
     416: 1
     418: 1
     423: 1
     424: 1
     425: 1
     447: 1
     455: 1
     457: 1
     459: 1
     477: 1
     522: 1
     554: 1

555:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       6: q^2+2q+1
       7: q^2+2q+1
       8: q^2+2q+1
      11: q^3+q^2+q+1
      12: q^2+2q+1
      19: q^2+2q+1
      20: q^2+2q+1
      21: q^2+2q+1
      23: 2q+1
      24: 2q+1
      25: q^2+q+1
      27: q^2+2q+1
      28: q^2+2q+1
      30: q^2+2q+1
      31: q^2+2q+1
      32: q^2+2q+1
      33: q^2+2q+1
      35: q+1
      36: q+1
      37: q+1
      41: q^2+2q+1
      43: q^2+2q+1
      44: 2q+1
      46: q+1
      47: q+1
      48: q+1
      50: q+1
      52: q+1
      60: 2q+1
      61: 2q+1
      62: q^2+q+1
      64: 2q+1
      65: q^2+q+1
      66: 2q+1
      68: q^2+2q+1
      69: q^2+2q+1
      70: q^2+2q+1
      72: q+1
      73: q+1
      74: q+1
      78: q+1
      80: q+1
      83: q+1
      86: q+1
      87: 2q+1
      88: q+1
      90: q+1
      92: q+1
      97: 2q+1
      99: q^2+2q+1
     101: q+1
     103: q+1
     108: 2q+1
     109: q^2+q+1
     110: 2q+1
     112: 2q+1
     113: q^2+q+1
     114: 2q+1
     116: 1
     117: 1
     118: 1
     120: q+1
     121: q+1
     122: q+1
     124: q+1
     128: q+1
     132: q+1
     136: 1
     138: 1
     140: 1
     145: q+1
     146: q+1
     147: 2q+1
     149: q+1
     151: q+1
     153: 2q+1
     155: 1
     158: 1
     161: q+1
     162: q+1
     164: q+1
     166: q+1
     174: 2q+1
     175: q^2+q+1
     176: 2q+1
     178: 1
     179: 1
     180: 1
     182: 1
     183: 1
     184: 1
     186: 1
     190: 1
     192: q+1
     196: q+1
     204: q+1
     206: 1
     208: 1
     210: 1
     218: 1
     220: q+1
     223: q+1
     224: q+1
     225: 2q+1
     228: 1
     229: 1
     231: 1
     232: 1
     234: 1
     236: 1
     241: 1
     244: 1
     245: 1
     246: 1
     256: 1
     257: 1
     258: 1
     262: 1
     266: 1
     268: 1
     272: 1
     274: q+1
     280: 1
     299: 1
     301: 1
     303: 1
     305: 1
     313: 1
     315: q+1
     316: 1
     321: 1
     325: 1
     327: 1
     329: 1
     335: 1
     336: 1
     338: 1
     339: 1
     340: 1
     354: 1
     358: 1
     362: 1
     364: 1
     368: 1
     380: 1
     394: 1
     396: 1
     398: 1
     402: 1
     406: 1
     407: 1
     425: 1
     448: 1
     454: 1
     460: 1
     462: 1
     514: 1
     555: 1

556:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       6: q^2+2q+1
       7: q^2+2q+1
       8: q^2+2q+1
      11: q^3+q^2+q+1
      12: q^2+2q+1
      19: q^2+2q+1
      20: q^2+2q+1
      21: q^2+2q+1
      23: 2q+1
      24: 2q+1
      25: q^2+q+1
      27: q^2+2q+1
      28: q^2+2q+1
      30: q^2+2q+1
      31: q^2+2q+1
      32: q^2+2q+1
      33: q^2+2q+1
      35: q+1
      36: q+1
      37: q+1
      41: q^2+2q+1
      43: q^2+2q+1
      44: 2q+1
      46: q+1
      47: q+1
      49: q+1
      51: q+1
      53: q+1
      60: 2q+1
      61: 2q+1
      62: q^2+q+1
      64: 2q+1
      65: q^2+q+1
      66: 2q+1
      68: q^2+2q+1
      69: q^2+2q+1
      70: q^2+2q+1
      72: q+1
      73: q+1
      74: q+1
      79: q+1
      81: q+1
      83: q+1
      86: q+1
      87: 2q+1
      89: q+1
      91: q+1
      93: q+1
      97: 2q+1
      99: q^2+2q+1
     101: q+1
     103: q+1
     108: 2q+1
     109: q^2+q+1
     110: 2q+1
     112: 2q+1
     113: q^2+q+1
     114: 2q+1
     116: 1
     117: 1
     118: 1
     120: q+1
     121: q+1
     122: q+1
     125: q+1
     129: q+1
     133: q+1
     137: 1
     139: 1
     141: 1
     145: q+1
     146: q+1
     147: 2q+1
     149: q+1
     151: q+1
     153: 2q+1
     155: 1
     158: 1
     161: q+1
     163: q+1
     165: q+1
     167: q+1
     174: 2q+1
     175: q^2+q+1
     176: 2q+1
     178: 1
     179: 1
     180: 1
     182: 1
     183: 1
     184: 1
     187: 1
     191: 1
     193: q+1
     197: q+1
     205: q+1
     207: 1
     209: 1
     211: 1
     218: 1
     220: q+1
     223: q+1
     224: q+1
     225: 2q+1
     228: 1
     229: 1
     231: 1
     233: 1
     235: 1
     237: 1
     241: 1
     244: 1
     245: 1
     246: 1
     256: 1
     257: 1
     258: 1
     263: 1
     267: 1
     269: 1
     273: 1
     275: q+1
     281: 1
     299: 1
     302: 1
     304: 1
     306: 1
     313: 1
     315: q+1
     316: 1
     321: 1
     326: 1
     328: 1
     330: 1
     335: 1
     336: 1
     338: 1
     339: 1
     340: 1
     355: 1
     359: 1
     363: 1
     365: 1
     369: 1
     381: 1
     395: 1
     397: 1
     399: 1
     402: 1
     406: 1
     407: 1
     425: 1
     449: 1
     455: 1
     461: 1
     463: 1
     514: 1
     556: 1

557:   0: q+1
       1: q^2+1
       2: q+1
       3: q+1
       4: q+1
       5: q^2+1
       6: q^2+1
       7: q^2+1
       8: q+1
       9: q^2+1
      10: q^2+1
      11: q^2+1
      12: q+1
      13: q^2+1
      15: q^2+1
      16: q^2+1
      17: q^2+1
      18: q^2+1
      19: 1
      20: 1
      21: 1
      23: q+1
      24: q+1
      25: q^2+1
      26: q^2+1
      27: q+1
      28: q^2+1
      29: q^2+1
      30: q+1
      31: q+1
      32: q^2+1
      33: q+1
      34: q^2+1
      35: 1
      36: 1
      37: 1
      38: 1
      39: q^2+1
      40: q^2+1
      41: 1
      42: q^2+1
      43: 1
      44: q+1
      45: 1
      46: 1
      47: 1
      48: 1
      50: 1
      52: 1
      54: 1
      56: 1
      57: 1
      58: 1
      60: 1
      61: 1
      62: 1
      64: q+1
      65: q^2+1
      66: q+1
      67: q^2+1
      68: q+1
      69: q^2+1
      70: q+1
      71: q^2+1
      72: 1
      73: 1
      74: 1
      75: 1
      76: 1
      78: 1
      80: 1
      83: 1
      84: 1
      85: q^2+1
      86: 1
      87: q+1
      88: 1
      90: 1
      92: 1
      94: 1
      96: 1
      97: 1
      98: q^2+1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: 1
     112: q+1
     113: q^2+1
     114: q+1
     115: q^2+1
     116: 1
     117: 1
     118: 1
     119: 1
     120: 1
     121: 1
     122: 1
     123: 1
     124: 1
     126: 1
     128: 1
     130: 1
     132: 1
     135: 1
     136: 1
     138: 1
     140: 1
     142: 1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: q^2+1
     151: 1
     152: 1
     153: q+1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     160: 1
     161: 1
     162: 1
     164: 1
     166: 1
     168: 1
     170: 1
     171: 1
     172: 1
     174: 1
     175: 1
     176: 1
     182: 1
     183: 1
     184: 1
     185: 1
     186: 1
     188: 1
     190: 1
     192: 1
     194: 1
     196: 1
     200: 1
     202: 1
     204: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     223: 1
     224: 1
     225: 1
     226: 1
     231: 1
     232: 1
     234: 1
     236: 1
     238: 1
     240: 1
     241: 1
     243: 1
     244: 1
     245: 1
     246: 1
     247: 1
     248: 1
     249: 1
     250: 1
     264: 1
     268: 1
     270: 1
     272: 1
     274: 1
     280: 1
     282: 1
     286: 1
     297: 1
     298: 1
     299: 1
     300: 1
     301: 1
     303: 1
     305: 1
     307: 1
     311: 1
     312: 1
     313: 1
     314: 1
     315: 1
     316: 1
     333: 1
     356: 1
     358: 1
     360: 1
     362: 1
     366: 1
     368: 1
     382: 1
     392: 1
     404: 1
     405: 1
     406: 1
     450: 1
     456: 1
     460: 1
     512: 1
     557: 1

558:   0: q+1
       1: q^2+1
       2: q+1
       3: q+1
       4: q+1
       5: q^2+1
       6: q^2+1
       7: q^2+1
       8: q+1
       9: q^2+1
      10: q^2+1
      11: q^2+1
      12: q+1
      13: q^2+1
      15: q^2+1
      16: q^2+1
      17: q^2+1
      18: q^2+1
      19: 1
      20: 1
      21: 1
      23: q+1
      24: q+1
      25: q^2+1
      26: q^2+1
      27: q+1
      28: q^2+1
      29: q^2+1
      30: q+1
      31: q+1
      32: q^2+1
      33: q+1
      34: q^2+1
      35: 1
      36: 1
      37: 1
      38: 1
      39: q^2+1
      40: q^2+1
      41: 1
      42: q^2+1
      43: 1
      44: q+1
      45: 1
      46: 1
      47: 1
      49: 1
      51: 1
      53: 1
      55: 1
      56: 1
      57: 1
      58: 1
      60: 1
      61: 1
      62: 1
      64: q+1
      65: q^2+1
      66: q+1
      67: q^2+1
      68: q+1
      69: q^2+1
      70: q+1
      71: q^2+1
      72: 1
      73: 1
      74: 1
      75: 1
      77: 1
      79: 1
      81: 1
      83: 1
      84: 1
      85: q^2+1
      86: 1
      87: q+1
      89: 1
      91: 1
      93: 1
      95: 1
      96: 1
      97: 1
      98: q^2+1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: 1
     112: q+1
     113: q^2+1
     114: q+1
     115: q^2+1
     116: 1
     117: 1
     118: 1
     119: 1
     120: 1
     121: 1
     122: 1
     123: 1
     125: 1
     127: 1
     129: 1
     131: 1
     133: 1
     135: 1
     137: 1
     139: 1
     141: 1
     143: 1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: q^2+1
     151: 1
     152: 1
     153: q+1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     160: 1
     161: 1
     163: 1
     165: 1
     167: 1
     169: 1
     170: 1
     171: 1
     172: 1
     174: 1
     175: 1
     176: 1
     182: 1
     183: 1
     184: 1
     185: 1
     187: 1
     189: 1
     191: 1
     193: 1
     195: 1
     197: 1
     201: 1
     203: 1
     205: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     223: 1
     224: 1
     225: 1
     226: 1
     231: 1
     233: 1
     235: 1
     237: 1
     239: 1
     240: 1
     241: 1
     243: 1
     244: 1
     245: 1
     246: 1
     247: 1
     248: 1
     249: 1
     250: 1
     265: 1
     269: 1
     271: 1
     273: 1
     275: 1
     281: 1
     283: 1
     287: 1
     297: 1
     298: 1
     299: 1
     300: 1
     302: 1
     304: 1
     306: 1
     308: 1
     311: 1
     312: 1
     313: 1
     314: 1
     315: 1
     316: 1
     333: 1
     357: 1
     359: 1
     361: 1
     363: 1
     367: 1
     369: 1
     383: 1
     392: 1
     404: 1
     405: 1
     406: 1
     451: 1
     457: 1
     461: 1
     512: 1
     558: 1

559:   0: q+1
       1: q+1
       2: q^3+2q^2+2q+1
       3: q+1
       4: q+1
       5: q+1
       6: q+1
       7: q+1
       8: q^3+2q^2+2q+1
       9: q+1
      10: q+1
      12: q^3+2q^2+2q+1
      15: q+1
      16: q+1
      17: q+1
      19: q+1
      20: q+1
      21: q+1
      23: q+1
      24: q+1
      27: q+1
      28: q+1
      29: q+1
      30: q^3+2q^2+2q+1
      31: q+1
      32: q+1
      33: q^3+2q^2+2q+1
      34: q+1
      35: 1
      36: 1
      37: q^2+q+1
      38: 1
      40: q+1
      41: q+1
      42: q+1
      43: q+1
      44: q+1
      45: 1
      46: 1
      47: 1
      48: 1
      50: 1
      52: q^2+q+1
      54: 1
      56: q+1
      57: q+1
      58: q+1
      60: q+1
      61: q+1
      64: q+1
      66: q+1
      68: q+1
      69: q+1
      70: q^3+2q^2+2q+1
      71: q+1
      72: 1
      73: 1
      74: q^2+q+1
      75: 1
      76: 1
      78: 1
      80: 1
      84: q+1
      86: 1
      87: q+1
      88: 1
      90: 1
      92: q^2+q+1
      94: 1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     100: 1
     101: 1
     102: 1
     103: 1
     104: q+1
     105: q+1
     108: q+1
     110: q+1
     112: q+1
     114: q+1
     116: 1
     118: 1
     120: 1
     121: 1
     122: q^2+q+1
     123: 1
     124: 1
     126: 1
     128: 1
     130: 1
     132: 1
     136: 1
     140: 1
     146: 1
     147: q+1
     148: q+1
     151: 1
     152: q+1
     153: q+1
     154: 1
     157: 1
     158: 1
     160: 1
     161: 1
     162: 1
     164: 1
     166: q^2+q+1
     168: 1
     170: q+1
     172: q+1
     174: q+1
     176: q+1
     178: 1
     180: 1
     182: 1
     184: 1
     190: 1
     192: 1
     194: 1
     196: 1
     200: 1
     202: 1
     204: 1
     206: 1
     210: 1
     217: 1
     219: q+1
     224: 1
     225: q+1
     229: 1
     232: 1
     236: 1
     241: 1
     243: 1
     244: 1
     246: 1
     248: q+1
     250: q+1
     252: 1
     254: 1
     256: 1
     258: 1
     266: 1
     270: 1
     272: 1
     274: 1
     286: 1
     288: 1
     292: 1
     301: 1
     305: 1
     312: 1
     314: q+1
     316: 1
     320: 1
     325: 1
     329: 1
     336: 1
     338: 1
     340: 1
     342: 1
     344: 1
     352: 1
     364: 1
     366: 1
     368: 1
     394: 1
     398: 1
     407: 1
     413: 1
     417: 1
     424: 1
     432: 1
     434: 1
     458: 1
     462: 1
     499: 1
     503: 1
     513: 1
     559: 1

560:   0: q+1
       1: q+1
       2: q^3+2q^2+2q+1
       3: q+1
       4: q+1
       5: q+1
       6: q+1
       7: q+1
       8: q^3+2q^2+2q+1
       9: q+1
      10: q+1
      12: q^3+2q^2+2q+1
      15: q+1
      16: q+1
      17: q+1
      19: q+1
      20: q+1
      21: q+1
      23: q+1
      24: q+1
      27: q+1
      28: q+1
      29: q+1
      30: q^3+2q^2+2q+1
      31: q+1
      32: q+1
      33: q^3+2q^2+2q+1
      34: q+1
      35: 1
      36: 1
      37: q^2+q+1
      38: 1
      40: q+1
      41: q+1
      42: q+1
      43: q+1
      44: q+1
      45: 1
      46: 1
      47: 1
      49: 1
      51: 1
      53: q^2+q+1
      55: 1
      56: q+1
      57: q+1
      58: q+1
      60: q+1
      61: q+1
      64: q+1
      66: q+1
      68: q+1
      69: q+1
      70: q^3+2q^2+2q+1
      71: q+1
      72: 1
      73: 1
      74: q^2+q+1
      75: 1
      77: 1
      79: 1
      81: 1
      84: q+1
      86: 1
      87: q+1
      89: 1
      91: 1
      93: q^2+q+1
      95: 1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     100: 1
     101: 1
     102: 1
     103: 1
     104: q+1
     105: q+1
     108: q+1
     110: q+1
     112: q+1
     114: q+1
     116: 1
     118: 1
     120: 1
     121: 1
     122: q^2+q+1
     123: 1
     125: 1
     127: 1
     129: 1
     131: 1
     133: 1
     137: 1
     141: 1
     146: 1
     147: q+1
     148: q+1
     151: 1
     152: q+1
     153: q+1
     154: 1
     157: 1
     158: 1
     160: 1
     161: 1
     163: 1
     165: 1
     167: q^2+q+1
     169: 1
     170: q+1
     172: q+1
     174: q+1
     176: q+1
     178: 1
     180: 1
     182: 1
     184: 1
     191: 1
     193: 1
     195: 1
     197: 1
     201: 1
     203: 1
     205: 1
     207: 1
     211: 1
     217: 1
     219: q+1
     224: 1
     225: q+1
     229: 1
     233: 1
     237: 1
     241: 1
     243: 1
     244: 1
     246: 1
     248: q+1
     250: q+1
     252: 1
     254: 1
     256: 1
     258: 1
     267: 1
     271: 1
     273: 1
     275: 1
     287: 1
     289: 1
     293: 1
     302: 1
     306: 1
     312: 1
     314: q+1
     316: 1
     320: 1
     326: 1
     330: 1
     336: 1
     338: 1
     340: 1
     342: 1
     344: 1
     353: 1
     365: 1
     367: 1
     369: 1
     395: 1
     399: 1
     407: 1
     414: 1
     418: 1
     424: 1
     432: 1
     434: 1
     459: 1
     463: 1
     500: 1
     504: 1
     513: 1
     560: 1

561:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+1
       3: q+1
       4: q^2+2q+1
       6: q+1
       7: q^2+2q+1
       8: q^2+2q+1
      11: q+1
      12: q^3+2q^2+2q+1
      19: q^2+2q+1
      20: q+1
      21: q^2+2q+1
      23: q^2+2q+1
      24: q^2+2q+1
      25: q+1
      27: q+1
      28: q+1
      30: q^2+2q+1
      31: q+1
      32: q+1
      33: q+1
      35: q^2+2q+1
      36: q^2+2q+1
      37: q^2+2q+1
      41: q+1
      43: q+1
      44: q+1
      46: q^2+2q+1
      47: q^2+2q+1
      48: q+1
      50: q+1
      52: q+1
      60: q^2+2q+1
      61: q^2+2q+1
      62: q+1
      64: q+1
      65: q+1
      66: q^2+2q+1
      68: 1
      69: 1
      70: q+1
      72: q+1
      73: q+1
      74: q^2+2q+1
      78: q+1
      80: q+1
      83: q+1
      86: q+1
      87: 1
      88: 1
      90: 1
      92: q+1
      97: q+1
      99: 1
     101: q^2+2q+1
     103: q+1
     108: q+1
     109: q+1
     110: q^2+2q+1
     112: 1
     113: 1
     114: q+1
     116: q+1
     117: q+1
     118: q^2+2q+1
     120: 1
     121: 1
     122: q+1
     124: 1
     128: 1
     132: q+1
     136: 1
     138: 1
     140: q+1
     145: q+1
     146: q+1
     147: 1
     149: 1
     153: 1
     155: q+1
     158: q+1
     159: 1
     161: 1
     162: 1
     164: 1
     166: q+1
     174: 1
     175: 1
     176: q+1
     178: q+1
     179: q+1
     180: q^2+2q+1
     182: 1
     183: 1
     184: q+1
     186: 1
     190: 1
     192: 1
     198: 1
     204: 1
     206: 1
     208: 1
     210: q+1
     218: q+1
     220: 1
     223: 1
     225: 1
     228: q+1
     229: q+1
     230: 1
     231: 1
     232: 1
     234: 1
     236: q+1
     242: 1
     244: 1
     246: 1
     256: 1
     257: 1
     258: q+1
     262: 1
     266: 1
     268: 1
     276: 1
     278: 1
     280: 1
     301: 1
     305: 1
     315: 1
     321: q+1
     323: 1
     324: 1
     325: 1
     327: 1
     329: q+1
     335: 1
     337: 1
     338: 1
     340: 1
     354: 1
     370: 1
     372: 1
     376: 1
     380: 1
     394: 1
     398: 1
     412: 1
     427: 1
     428: 1
     430: 1
     464: 1
     472: 1
     489: 1
     493: 1
     515: 1
     561: 1

562:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+1
       3: q+1
       4: q^2+2q+1
       6: q+1
       7: q^2+2q+1
       8: q^2+2q+1
      11: q+1
      12: q^3+2q^2+2q+1
      19: q^2+2q+1
      20: q+1
      21: q^2+2q+1
      23: q^2+2q+1
      24: q^2+2q+1
      25: q+1
      27: q+1
      28: q+1
      30: q^2+2q+1
      31: q+1
      32: q+1
      33: q+1
      35: q^2+2q+1
      36: q^2+2q+1
      37: q^2+2q+1
      41: q+1
      43: q+1
      44: q+1
      46: q^2+2q+1
      47: q^2+2q+1
      49: q+1
      51: q+1
      53: q+1
      60: q^2+2q+1
      61: q^2+2q+1
      62: q+1
      64: q+1
      65: q+1
      66: q^2+2q+1
      68: 1
      69: 1
      70: q+1
      72: q+1
      73: q+1
      74: q^2+2q+1
      79: q+1
      81: q+1
      83: q+1
      86: q+1
      87: 1
      89: 1
      91: 1
      93: q+1
      97: q+1
      99: 1
     101: q^2+2q+1
     103: q+1
     108: q+1
     109: q+1
     110: q^2+2q+1
     112: 1
     113: 1
     114: q+1
     116: q+1
     117: q+1
     118: q^2+2q+1
     120: 1
     121: 1
     122: q+1
     125: 1
     129: 1
     133: q+1
     137: 1
     139: 1
     141: q+1
     145: q+1
     146: q+1
     147: 1
     149: 1
     153: 1
     155: q+1
     158: q+1
     159: 1
     161: 1
     163: 1
     165: 1
     167: q+1
     174: 1
     175: 1
     176: q+1
     178: q+1
     179: q+1
     180: q^2+2q+1
     182: 1
     183: 1
     184: q+1
     187: 1
     191: 1
     193: 1
     199: 1
     205: 1
     207: 1
     209: 1
     211: q+1
     218: q+1
     220: 1
     223: 1
     225: 1
     228: q+1
     229: q+1
     230: 1
     231: 1
     233: 1
     235: 1
     237: q+1
     242: 1
     244: 1
     246: 1
     256: 1
     257: 1
     258: q+1
     263: 1
     267: 1
     269: 1
     277: 1
     279: 1
     281: 1
     302: 1
     306: 1
     315: 1
     321: q+1
     323: 1
     324: 1
     326: 1
     328: 1
     330: q+1
     335: 1
     337: 1
     338: 1
     340: 1
     355: 1
     371: 1
     373: 1
     377: 1
     381: 1
     395: 1
     399: 1
     412: 1
     427: 1
     428: 1
     430: 1
     465: 1
     473: 1
     490: 1
     494: 1
     515: 1
     562: 1

563:   0: 3q+1
       1: 3q+1
       2: 3q+1
       3: q^2+2q+1
       4: 3q+1
       5: q^3+2q+1
       6: q^2+2q+1
       7: 3q+1
       8: 3q+1
       9: q+1
      10: q^3+2q+1
      11: q^2+2q+1
      12: q^2+2q+1
      13: q+1
      14: q+1
      15: 2q+1
      16: q+1
      17: 2q+1
      18: q+1
      19: 3q+1
      20: q^2+2q+1
      21: 3q+1
      22: q+1
      23: 3q+1
      24: 3q+1
      25: q^2+2q+1
      26: q+1
      27: 2q+1
      28: 2q+1
      29: q+1
      30: 2q+1
      31: q+1
      32: q+1
      33: q+1
      34: q+1
      35: 3q+1
      36: 3q+1
      37: 3q+1
      38: q^3+2q+1
      39: q+1
      40: q+1
      41: 2q+1
      42: q+1
      43: q+1
      44: q+1
      45: 2q+1
      46: 3q+1
      47: 3q+1
      48: q+1
      50: q+1
      52: q+1
      54: q+1
      56: 2q+1
      57: q+1
      58: 2q+1
      59: q+1
      60: 3q+1
      61: 3q+1
      62: q^2+2q+1
      63: q+1
      64: 2q+1
      65: 2q+1
      66: 2q+1
      67: q+1
      68: 1
      69: 1
      70: 1
      71: 1
      72: 2q+1
      73: 2q+1
      74: 2q+1
      75: q+1
      76: q+1
      78: q+1
      80: q+1
      82: q+1
      83: 2q+1
      84: q+1
      85: q+1
      86: q+1
      87: 1
      88: 1
      90: 1
      92: 1
      94: 1
      96: q+1
      97: q+1
      98: 1
      99: 1
     100: 2q+1
     101: 3q+1
     102: q+1
     103: 2q+1
     104: 2q+1
     105: 2q+1
     106: q+1
     107: q+1
     108: 2q+1
     109: 2q+1
     110: 2q+1
     111: q+1
     112: 1
     113: 1
     114: 1
     115: 1
     116: 2q+1
     117: 2q+1
     118: 2q+1
     119: q+1
     120: 1
     121: 1
     122: 1
     123: 1
     124: 1
     126: 1
     128: 1
     130: q+1
     132: q+1
     134: q+1
     135: q+1
     136: 1
     138: 1
     140: 1
     142: 1
     144: q+1
     145: 2q+1
     146: q+1
     147: 1
     148: q+1
     149: 1
     150: 1
     152: 1
     153: 1
     154: 2q+1
     155: 2q+1
     156: q+1
     157: q+1
     158: q+1
     159: 1
     160: 1
     161: 1
     162: 1
     164: 1
     166: 1
     168: 1
     170: 1
     171: 1
     172: q+1
     173: 1
     174: 1
     175: 1
     176: 1
     177: 1
     178: 2q+1
     179: 2q+1
     180: 2q+1
     181: q+1
     182: 1
     183: 1
     184: 1
     185: 1
     186: 1
     188: 1
     190: 1
     192: 1
     194: 1
     198: 1
     200: q+1
     202: 1
     204: 1
     206: 1
     208: 1
     210: 1
     212: 1
     214: q+1
     215: 1
     216: 1
     217: 1
     218: q+1
     219: 1
     220: 1
     221: 1
     222: 1
     223: 1
     225: 1
     226: q+1
     227: q+1
     228: 2q+1
     229: q+1
     230: 1
     231: 1
     232: 1
     234: 1
     236: 1
     238: 1
     240: 1
     242: 1
     243: 1
     252: 1
     253: 1
     254: q+1
     255: 1
     256: 1
     257: 1
     258: 1
     259: 1
     260: 1
     262: 1
     264: 1
     266: 1
     268: 1
     270: 1
     276: 1
     278: 1
     280: 1
     282: 1
     286: 1
     296: 1
     297: 1
     298: 1
     309: 1
     315: 1
     317: q+1
     318: 1
     319: 1
     320: 1
     321: q+1
     322: 1
     323: 1
     325: 1
     327: 1
     329: 1
     331: 1
     333: 1
     334: 1
     335: 1
     337: 1
     350: 1
     354: 1
     356: 1
     370: 1
     372: 1
     374: 1
     378: 1
     380: 1
     382: 1
     390: 1
     391: 1
     408: 1
     409: 1
     410: 1
     421: 1
     427: 1
     444: 1
     464: 1
     466: 1
     478: 1
     516: 1
     517: 1
     563: 1

564:   0: 3q+1
       1: 3q+1
       2: 3q+1
       3: q^2+2q+1
       4: 3q+1
       5: q^3+2q+1
       6: q^2+2q+1
       7: 3q+1
       8: 3q+1
       9: q+1
      10: q^3+2q+1
      11: q^2+2q+1
      12: q^2+2q+1
      13: q+1
      14: q+1
      15: 2q+1
      16: q+1
      17: 2q+1
      18: q+1
      19: 3q+1
      20: q^2+2q+1
      21: 3q+1
      22: q+1
      23: 3q+1
      24: 3q+1
      25: q^2+2q+1
      26: q+1
      27: 2q+1
      28: 2q+1
      29: q+1
      30: 2q+1
      31: q+1
      32: q+1
      33: q+1
      34: q+1
      35: 3q+1
      36: 3q+1
      37: 3q+1
      38: q^3+2q+1
      39: q+1
      40: q+1
      41: 2q+1
      42: q+1
      43: q+1
      44: q+1
      45: 2q+1
      46: 3q+1
      47: 3q+1
      49: q+1
      51: q+1
      53: q+1
      55: q+1
      56: 2q+1
      57: q+1
      58: 2q+1
      59: q+1
      60: 3q+1
      61: 3q+1
      62: q^2+2q+1
      63: q+1
      64: 2q+1
      65: 2q+1
      66: 2q+1
      67: q+1
      68: 1
      69: 1
      70: 1
      71: 1
      72: 2q+1
      73: 2q+1
      74: 2q+1
      75: q+1
      77: q+1
      79: q+1
      81: q+1
      82: q+1
      83: 2q+1
      84: q+1
      85: q+1
      86: q+1
      87: 1
      89: 1
      91: 1
      93: 1
      95: 1
      96: q+1
      97: q+1
      98: 1
      99: 1
     100: 2q+1
     101: 3q+1
     102: q+1
     103: 2q+1
     104: 2q+1
     105: 2q+1
     106: q+1
     107: q+1
     108: 2q+1
     109: 2q+1
     110: 2q+1
     111: q+1
     112: 1
     113: 1
     114: 1
     115: 1
     116: 2q+1
     117: 2q+1
     118: 2q+1
     119: q+1
     120: 1
     121: 1
     122: 1
     123: 1
     125: 1
     127: 1
     129: 1
     131: q+1
     133: q+1
     134: q+1
     135: q+1
     137: 1
     139: 1
     141: 1
     143: 1
     144: q+1
     145: 2q+1
     146: q+1
     147: 1
     148: q+1
     149: 1
     150: 1
     152: 1
     153: 1
     154: 2q+1
     155: 2q+1
     156: q+1
     157: q+1
     158: q+1
     159: 1
     160: 1
     161: 1
     163: 1
     165: 1
     167: 1
     169: 1
     170: 1
     171: 1
     172: q+1
     173: 1
     174: 1
     175: 1
     176: 1
     177: 1
     178: 2q+1
     179: 2q+1
     180: 2q+1
     181: q+1
     182: 1
     183: 1
     184: 1
     185: 1
     187: 1
     189: 1
     191: 1
     193: 1
     195: 1
     199: 1
     201: q+1
     203: 1
     205: 1
     207: 1
     209: 1
     211: 1
     213: 1
     214: q+1
     215: 1
     216: 1
     217: 1
     218: q+1
     219: 1
     220: 1
     221: 1
     222: 1
     223: 1
     225: 1
     226: q+1
     227: q+1
     228: 2q+1
     229: q+1
     230: 1
     231: 1
     233: 1
     235: 1
     237: 1
     239: 1
     240: 1
     242: 1
     243: 1
     252: 1
     253: 1
     254: q+1
     255: 1
     256: 1
     257: 1
     258: 1
     259: 1
     261: 1
     263: 1
     265: 1
     267: 1
     269: 1
     271: 1
     277: 1
     279: 1
     281: 1
     283: 1
     287: 1
     296: 1
     297: 1
     298: 1
     309: 1
     315: 1
     317: q+1
     318: 1
     319: 1
     320: 1
     321: q+1
     322: 1
     323: 1
     326: 1
     328: 1
     330: 1
     332: 1
     333: 1
     334: 1
     335: 1
     337: 1
     351: 1
     355: 1
     357: 1
     371: 1
     373: 1
     375: 1
     379: 1
     381: 1
     383: 1
     390: 1
     391: 1
     408: 1
     409: 1
     410: 1
     421: 1
     427: 1
     445: 1
     465: 1
     467: 1
     479: 1
     516: 1
     517: 1
     564: 1

565:   0: 2q^2+3q+1
       1: 2q+1
       2: 2q^2+3q+1
       3: q^3+2q^2+2q+1
       4: 2q^2+3q+1
       5: 2q+1
       6: q^2+q+1
       7: 2q+1
       8: 2q^2+3q+1
       9: q^2+q+1
      10: 2q+1
      11: q^2+q+1
      12: q^3+2q^2+2q+1
      13: q^2+q+1
      15: 2q+1
      16: q^2+q+1
      17: 2q+1
      18: q^2+q+1
      19: 2q+1
      20: q^2+q+1
      21: 2q+1
      23: 2q^2+3q+1
      24: 2q^2+3q+1
      25: q^2+q+1
      26: q^2+q+1
      27: q^2+2q+1
      28: q+1
      29: q+1
      30: q^2+2q+1
      31: q^2+2q+1
      32: q+1
      33: q^2+2q+1
      34: q+1
      35: 2q^2+3q+1
      36: 2q+1
      37: 2q^2+3q+1
      38: 2q+1
      39: q^2+q+1
      40: q+1
      41: q+1
      42: q+1
      43: q+1
      44: q^2+2q+1
      45: 2q+1
      46: 2q+1
      47: 2q^2+3q+1
      48: q^2+2q+1
      50: q+1
      52: q^2+2q+1
      54: q+1
      56: 2q+1
      57: q^2+q+1
      58: 2q+1
      60: 2q+1
      61: 2q+1
      62: q^2+q+1
      64: q^2+2q+1
      65: q+1
      66: q^2+2q+1
      67: q+1
      68: q+1
      69: 1
      70: q+1
      71: 1
      72: q^2+2q+1
      73: q+1
      74: q^2+2q+1
      75: q+1
      76: q+1
      78: q+1
      80: q^2+2q+1
      83: q+1
      84: q+1
      85: q+1
      86: q+1
      87: q+1
      88: q+1
      90: 1
      92: q+1
      94: 1
      96: q+1
      97: q+1
      98: 1
      99: 1
     100: 2q+1
     101: 2q+1
     102: q+1
     103: q+1
     104: 2q+1
     105: 2q+1
     106: q^2+q+1
     108: q+1
     109: q+1
     110: q+1
     112: q+1
     113: 1
     114: q+1
     115: 1
     116: q^2+2q+1
     117: q+1
     118: q^2+2q+1
     119: q+1
     120: q+1
     121: 1
     122: q+1
     123: 1
     124: q+1
     126: 1
     128: 1
     130: q+1
     132: q+1
     135: q+1
     136: q+1
     138: 1
     140: q+1
     142: 1
     145: q+1
     146: 1
     147: 1
     148: q+1
     149: 1
     150: 1
     152: 1
     153: q+1
     154: 2q+1
     155: q+1
     156: q+1
     157: q+1
     158: q+1
     159: q+1
     160: 1
     161: 1
     162: q+1
     164: 1
     166: q+1
     168: 1
     170: q+1
     171: q+1
     172: q+1
     174: 1
     175: 1
     176: 1
     178: q+1
     179: q+1
     180: q+1
     182: q+1
     183: 1
     184: q+1
     185: 1
     186: 1
     188: 1
     190: q+1
     192: 1
     194: 1
     198: q+1
     200: q+1
     202: 1
     204: 1
     206: 1
     208: 1
     210: 1
     216: q+1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     223: 1
     225: 1
     226: q+1
     228: q+1
     229: 1
     230: 1
     231: 1
     232: q+1
     234: 1
     236: q+1
     238: 1
     240: 1
     242: q+1
     243: 1
     248: 1
     249: 1
     250: 1
     252: q+1
     253: q+1
     254: q+1
     256: 1
     257: 1
     258: 1
     262: 1
     264: 1
     266: 1
     268: 1
     270: 1
     276: q+1
     278: 1
     280: 1
     282: 1
     286: 1
     288: 1
     290: 1
     292: 1
     297: 1
     298: 1
     311: 1
     314: 1
     315: 1
     319: q+1
     320: 1
     321: 1
     322: 1
     323: 1
     325: 1
     327: 1
     329: 1
     333: 1
     335: 1
     337: 1
     342: 1
     343: 1
     344: 1
     348: 1
     352: 1
     354: 1
     356: 1
     370: 1
     372: 1
     374: 1
     380: 1
     382: 1
     405: 1
     409: 1
     410: 1
     413: 1
     415: 1
     417: 1
     423: 1
     426: 1
     427: 1
     446: 1
     464: 1
     466: 1
     468: 1
     476: 1
     523: 1
     565: 1

566:   0: 2q^2+3q+1
       1: 2q+1
       2: 2q^2+3q+1
       3: q^3+2q^2+2q+1
       4: 2q^2+3q+1
       5: 2q+1
       6: q^2+q+1
       7: 2q+1
       8: 2q^2+3q+1
       9: q^2+q+1
      10: 2q+1
      11: q^2+q+1
      12: q^3+2q^2+2q+1
      13: q^2+q+1
      15: 2q+1
      16: q^2+q+1
      17: 2q+1
      18: q^2+q+1
      19: 2q+1
      20: q^2+q+1
      21: 2q+1
      23: 2q^2+3q+1
      24: 2q^2+3q+1
      25: q^2+q+1
      26: q^2+q+1
      27: q^2+2q+1
      28: q+1
      29: q+1
      30: q^2+2q+1
      31: q^2+2q+1
      32: q+1
      33: q^2+2q+1
      34: q+1
      35: 2q^2+3q+1
      36: 2q+1
      37: 2q^2+3q+1
      38: 2q+1
      39: q^2+q+1
      40: q+1
      41: q+1
      42: q+1
      43: q+1
      44: q^2+2q+1
      45: 2q+1
      46: 2q+1
      47: 2q^2+3q+1
      49: q^2+2q+1
      51: q+1
      53: q^2+2q+1
      55: q+1
      56: 2q+1
      57: q^2+q+1
      58: 2q+1
      60: 2q+1
      61: 2q+1
      62: q^2+q+1
      64: q^2+2q+1
      65: q+1
      66: q^2+2q+1
      67: q+1
      68: q+1
      69: 1
      70: q+1
      71: 1
      72: q^2+2q+1
      73: q+1
      74: q^2+2q+1
      75: q+1
      77: q+1
      79: q+1
      81: q^2+2q+1
      83: q+1
      84: q+1
      85: q+1
      86: q+1
      87: q+1
      89: q+1
      91: 1
      93: q+1
      95: 1
      96: q+1
      97: q+1
      98: 1
      99: 1
     100: 2q+1
     101: 2q+1
     102: q+1
     103: q+1
     104: 2q+1
     105: 2q+1
     106: q^2+q+1
     108: q+1
     109: q+1
     110: q+1
     112: q+1
     113: 1
     114: q+1
     115: 1
     116: q^2+2q+1
     117: q+1
     118: q^2+2q+1
     119: q+1
     120: q+1
     121: 1
     122: q+1
     123: 1
     125: q+1
     127: 1
     129: 1
     131: q+1
     133: q+1
     135: q+1
     137: q+1
     139: 1
     141: q+1
     143: 1
     145: q+1
     146: 1
     147: 1
     148: q+1
     149: 1
     150: 1
     152: 1
     153: q+1
     154: 2q+1
     155: q+1
     156: q+1
     157: q+1
     158: q+1
     159: q+1
     160: 1
     161: 1
     163: q+1
     165: 1
     167: q+1
     169: 1
     170: q+1
     171: q+1
     172: q+1
     174: 1
     175: 1
     176: 1
     178: q+1
     179: q+1
     180: q+1
     182: q+1
     183: 1
     184: q+1
     185: 1
     187: 1
     189: 1
     191: q+1
     193: 1
     195: 1
     199: q+1
     201: q+1
     203: 1
     205: 1
     207: 1
     209: 1
     211: 1
     216: q+1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     223: 1
     225: 1
     226: q+1
     228: q+1
     229: 1
     230: 1
     231: 1
     233: q+1
     235: 1
     237: q+1
     239: 1
     240: 1
     242: q+1
     243: 1
     248: 1
     249: 1
     250: 1
     252: q+1
     253: q+1
     254: q+1
     256: 1
     257: 1
     258: 1
     263: 1
     265: 1
     267: 1
     269: 1
     271: 1
     277: q+1
     279: 1
     281: 1
     283: 1
     287: 1
     289: 1
     291: 1
     293: 1
     297: 1
     298: 1
     311: 1
     314: 1
     315: 1
     319: q+1
     320: 1
     321: 1
     322: 1
     323: 1
     326: 1
     328: 1
     330: 1
     333: 1
     335: 1
     337: 1
     342: 1
     343: 1
     344: 1
     349: 1
     353: 1
     355: 1
     357: 1
     371: 1
     373: 1
     375: 1
     381: 1
     383: 1
     405: 1
     409: 1
     410: 1
     414: 1
     416: 1
     418: 1
     423: 1
     426: 1
     427: 1
     447: 1
     465: 1
     467: 1
     469: 1
     477: 1
     523: 1
     566: 1

567:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       6: q^2+2q+1
       7: q^2+2q+1
       8: q^2+2q+1
      11: q^3+q^2+q+1
      12: q^2+2q+1
      19: q^2+2q+1
      20: q^2+2q+1
      21: q^2+2q+1
      23: 2q+1
      24: 2q+1
      25: q^2+q+1
      27: q^2+2q+1
      28: q^2+2q+1
      30: q^2+2q+1
      31: q+1
      32: q+1
      33: q+1
      35: q^2+2q+1
      36: q^2+2q+1
      37: q^2+2q+1
      41: q^2+2q+1
      43: q+1
      44: q+1
      46: q^2+2q+1
      47: 2q+1
      48: q+1
      50: q+1
      52: q+1
      60: 2q+1
      61: 2q+1
      62: q^2+q+1
      64: 2q+1
      65: q^2+q+1
      66: 2q+1
      68: q+1
      69: q+1
      70: q+1
      72: q^2+2q+1
      73: q^2+2q+1
      74: q^2+2q+1
      78: q+1
      80: q+1
      83: q+1
      86: 2q+1
      87: q+1
      88: q+1
      90: q+1
      92: q+1
      97: q+1
      99: q+1
     101: 2q+1
     103: q^2+2q+1
     108: 2q+1
     109: q^2+q+1
     110: 2q+1
     112: 1
     113: 1
     114: 1
     116: 2q+1
     117: q^2+q+1
     118: 2q+1
     120: q+1
     121: q+1
     122: q+1
     124: q+1
     128: q+1
     132: q+1
     136: 1
     138: 1
     140: 1
     145: q+1
     146: 2q+1
     147: q+1
     149: 1
     153: 1
     155: q+1
     158: 2q+1
     159: q+1
     161: q+1
     162: q+1
     164: q+1
     166: q+1
     174: 1
     175: 1
     176: 1
     178: 2q+1
     179: q^2+q+1
     180: 2q+1
     182: 1
     183: 1
     184: 1
     186: 1
     190: 1
     192: q+1
     198: q+1
     204: q+1
     206: 1
     208: 1
     210: 1
     218: q+1
     220: 1
     223: 1
     225: 1
     228: q+1
     229: 2q+1
     230: q+1
     231: 1
     232: 1
     234: 1
     236: 1
     242: 1
     244: 1
     245: 1
     246: 1
     256: 1
     257: 1
     258: 1
     262: 1
     266: 1
     268: 1
     276: 1
     278: q+1
     280: 1
     299: 1
     301: 1
     303: 1
     305: 1
     315: 1
     321: q+1
     323: 1
     324: 1
     325: 1
     327: 1
     329: 1
     335: 1
     337: 1
     338: 1
     339: 1
     340: 1
     354: 1
     358: 1
     370: 1
     372: 1
     376: 1
     380: 1
     394: 1
     396: 1
     398: 1
     402: 1
     411: 1
     412: 1
     427: 1
     448: 1
     464: 1
     470: 1
     472: 1
     520: 1
     567: 1

568:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       6: q^2+2q+1
       7: q^2+2q+1
       8: q^2+2q+1
      11: q^3+q^2+q+1
      12: q^2+2q+1
      19: q^2+2q+1
      20: q^2+2q+1
      21: q^2+2q+1
      23: 2q+1
      24: 2q+1
      25: q^2+q+1
      27: q^2+2q+1
      28: q^2+2q+1
      30: q^2+2q+1
      31: q+1
      32: q+1
      33: q+1
      35: q^2+2q+1
      36: q^2+2q+1
      37: q^2+2q+1
      41: q^2+2q+1
      43: q+1
      44: q+1
      46: q^2+2q+1
      47: 2q+1
      49: q+1
      51: q+1
      53: q+1
      60: 2q+1
      61: 2q+1
      62: q^2+q+1
      64: 2q+1
      65: q^2+q+1
      66: 2q+1
      68: q+1
      69: q+1
      70: q+1
      72: q^2+2q+1
      73: q^2+2q+1
      74: q^2+2q+1
      79: q+1
      81: q+1
      83: q+1
      86: 2q+1
      87: q+1
      89: q+1
      91: q+1
      93: q+1
      97: q+1
      99: q+1
     101: 2q+1
     103: q^2+2q+1
     108: 2q+1
     109: q^2+q+1
     110: 2q+1
     112: 1
     113: 1
     114: 1
     116: 2q+1
     117: q^2+q+1
     118: 2q+1
     120: q+1
     121: q+1
     122: q+1
     125: q+1
     129: q+1
     133: q+1
     137: 1
     139: 1
     141: 1
     145: q+1
     146: 2q+1
     147: q+1
     149: 1
     153: 1
     155: q+1
     158: 2q+1
     159: q+1
     161: q+1
     163: q+1
     165: q+1
     167: q+1
     174: 1
     175: 1
     176: 1
     178: 2q+1
     179: q^2+q+1
     180: 2q+1
     182: 1
     183: 1
     184: 1
     187: 1
     191: 1
     193: q+1
     199: q+1
     205: q+1
     207: 1
     209: 1
     211: 1
     218: q+1
     220: 1
     223: 1
     225: 1
     228: q+1
     229: 2q+1
     230: q+1
     231: 1
     233: 1
     235: 1
     237: 1
     242: 1
     244: 1
     245: 1
     246: 1
     256: 1
     257: 1
     258: 1
     263: 1
     267: 1
     269: 1
     277: 1
     279: q+1
     281: 1
     299: 1
     302: 1
     304: 1
     306: 1
     315: 1
     321: q+1
     323: 1
     324: 1
     326: 1
     328: 1
     330: 1
     335: 1
     337: 1
     338: 1
     339: 1
     340: 1
     355: 1
     359: 1
     371: 1
     373: 1
     377: 1
     381: 1
     395: 1
     397: 1
     399: 1
     402: 1
     411: 1
     412: 1
     427: 1
     449: 1
     465: 1
     471: 1
     473: 1
     520: 1
     568: 1

569:   0: q+1
       1: q^2+1
       2: q+1
       3: q+1
       4: q+1
       5: q^2+1
       6: q^2+1
       7: q^2+1
       8: q+1
       9: q^2+1
      10: q^2+1
      11: q^2+1
      12: q+1
      13: q^2+1
      15: q^2+1
      16: q^2+1
      17: q^2+1
      18: q^2+1
      19: 1
      20: 1
      21: 1
      23: q+1
      24: q+1
      25: q^2+1
      26: q^2+1
      27: q+1
      28: q^2+1
      29: q^2+1
      30: q+1
      31: 1
      32: 1
      33: 1
      34: 1
      35: q+1
      36: q^2+1
      37: q+1
      38: q^2+1
      39: q^2+1
      40: q^2+1
      41: 1
      42: 1
      43: 1
      44: 1
      45: q^2+1
      46: 1
      47: q+1
      48: 1
      50: 1
      52: 1
      54: 1
      56: 1
      57: 1
      58: 1
      60: 1
      61: 1
      62: 1
      64: q+1
      65: q^2+1
      66: q+1
      67: q^2+1
      68: 1
      69: 1
      70: 1
      71: 1
      72: q+1
      73: q^2+1
      74: q+1
      75: q^2+1
      76: 1
      78: 1
      80: 1
      83: 1
      84: 1
      85: q^2+1
      86: q+1
      87: 1
      88: 1
      90: 1
      92: 1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: q^2+1
     103: 1
     104: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: 1
     112: 1
     113: 1
     114: 1
     115: 1
     116: q+1
     117: q^2+1
     118: q+1
     119: q^2+1
     120: 1
     121: 1
     122: 1
     123: 1
     124: 1
     126: 1
     128: 1
     130: 1
     132: 1
     135: 1
     136: 1
     138: 1
     140: 1
     142: 1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     152: 1
     153: 1
     154: 1
     155: 1
     156: q^2+1
     157: 1
     158: q+1
     159: 1
     160: 1
     161: 1
     162: 1
     164: 1
     166: 1
     168: 1
     170: 1
     171: 1
     172: 1
     178: 1
     179: 1
     180: 1
     182: 1
     183: 1
     184: 1
     185: 1
     186: 1
     188: 1
     190: 1
     192: 1
     194: 1
     198: 1
     200: 1
     202: 1
     204: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     226: 1
     228: 1
     229: 1
     230: 1
     231: 1
     232: 1
     234: 1
     236: 1
     238: 1
     240: 1
     242: 1
     243: 1
     244: 1
     245: 1
     246: 1
     247: 1
     252: 1
     253: 1
     254: 1
     264: 1
     268: 1
     270: 1
     276: 1
     278: 1
     280: 1
     282: 1
     286: 1
     297: 1
     298: 1
     299: 1
     300: 1
     301: 1
     303: 1
     305: 1
     307: 1
     319: 1
     320: 1
     321: 1
     322: 1
     323: 1
     324: 1
     333: 1
     356: 1
     358: 1
     360: 1
     370: 1
     374: 1
     376: 1
     382: 1
     392: 1
     409: 1
     410: 1
     411: 1
     450: 1
     466: 1
     470: 1
     518: 1
     569: 1

570:   0: q+1
       1: q^2+1
       2: q+1
       3: q+1
       4: q+1
       5: q^2+1
       6: q^2+1
       7: q^2+1
       8: q+1
       9: q^2+1
      10: q^2+1
      11: q^2+1
      12: q+1
      13: q^2+1
      15: q^2+1
      16: q^2+1
      17: q^2+1
      18: q^2+1
      19: 1
      20: 1
      21: 1
      23: q+1
      24: q+1
      25: q^2+1
      26: q^2+1
      27: q+1
      28: q^2+1
      29: q^2+1
      30: q+1
      31: 1
      32: 1
      33: 1
      34: 1
      35: q+1
      36: q^2+1
      37: q+1
      38: q^2+1
      39: q^2+1
      40: q^2+1
      41: 1
      42: 1
      43: 1
      44: 1
      45: q^2+1
      46: 1
      47: q+1
      49: 1
      51: 1
      53: 1
      55: 1
      56: 1
      57: 1
      58: 1
      60: 1
      61: 1
      62: 1
      64: q+1
      65: q^2+1
      66: q+1
      67: q^2+1
      68: 1
      69: 1
      70: 1
      71: 1
      72: q+1
      73: q^2+1
      74: q+1
      75: q^2+1
      77: 1
      79: 1
      81: 1
      83: 1
      84: 1
      85: q^2+1
      86: q+1
      87: 1
      89: 1
      91: 1
      93: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: q^2+1
     103: 1
     104: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: 1
     112: 1
     113: 1
     114: 1
     115: 1
     116: q+1
     117: q^2+1
     118: q+1
     119: q^2+1
     120: 1
     121: 1
     122: 1
     123: 1
     125: 1
     127: 1
     129: 1
     131: 1
     133: 1
     135: 1
     137: 1
     139: 1
     141: 1
     143: 1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     152: 1
     153: 1
     154: 1
     155: 1
     156: q^2+1
     157: 1
     158: q+1
     159: 1
     160: 1
     161: 1
     163: 1
     165: 1
     167: 1
     169: 1
     170: 1
     171: 1
     172: 1
     178: 1
     179: 1
     180: 1
     182: 1
     183: 1
     184: 1
     185: 1
     187: 1
     189: 1
     191: 1
     193: 1
     195: 1
     199: 1
     201: 1
     203: 1
     205: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     226: 1
     228: 1
     229: 1
     230: 1
     231: 1
     233: 1
     235: 1
     237: 1
     239: 1
     240: 1
     242: 1
     243: 1
     244: 1
     245: 1
     246: 1
     247: 1
     252: 1
     253: 1
     254: 1
     265: 1
     269: 1
     271: 1
     277: 1
     279: 1
     281: 1
     283: 1
     287: 1
     297: 1
     298: 1
     299: 1
     300: 1
     302: 1
     304: 1
     306: 1
     308: 1
     319: 1
     320: 1
     321: 1
     322: 1
     323: 1
     324: 1
     333: 1
     357: 1
     359: 1
     361: 1
     371: 1
     375: 1
     377: 1
     383: 1
     392: 1
     409: 1
     410: 1
     411: 1
     451: 1
     467: 1
     471: 1
     518: 1
     570: 1

571:   0: q+1
       1: q+1
       2: q^3+2q^2+2q+1
       3: q+1
       4: q+1
       5: q+1
       6: q+1
       7: q+1
       8: q^3+2q^2+2q+1
       9: q+1
      10: q+1
      12: q^3+2q^2+2q+1
      15: q+1
      16: q+1
      17: q+1
      19: q+1
      20: q+1
      21: q+1
      23: q+1
      24: q+1
      27: q+1
      28: q+1
      29: q+1
      30: q^3+2q^2+2q+1
      31: 1
      32: 1
      33: q^2+q+1
      34: 1
      35: q+1
      36: q+1
      37: q^3+2q^2+2q+1
      38: q+1
      40: q+1
      41: q+1
      42: 1
      43: 1
      44: 1
      45: q+1
      46: q+1
      47: q+1
      48: 1
      50: 1
      52: q^2+q+1
      54: 1
      56: q+1
      57: q+1
      58: q+1
      60: q+1
      61: q+1
      64: q+1
      66: q+1
      68: 1
      69: 1
      70: q^2+q+1
      71: 1
      72: q+1
      73: q+1
      74: q^3+2q^2+2q+1
      75: q+1
      76: 1
      78: 1
      80: 1
      84: q+1
      86: q+1
      87: 1
      88: 1
      90: 1
      92: q^2+q+1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: q+1
     101: q+1
     102: q+1
     103: q+1
     104: q+1
     105: q+1
     108: q+1
     110: q+1
     112: 1
     114: 1
     116: q+1
     118: q+1
     120: 1
     121: 1
     122: q^2+q+1
     123: 1
     124: 1
     126: 1
     128: 1
     130: 1
     132: 1
     136: 1
     140: 1
     146: q+1
     147: 1
     148: 1
     152: 1
     153: 1
     154: q+1
     157: q+1
     158: q+1
     159: 1
     160: 1
     161: 1
     162: 1
     164: 1
     166: q^2+q+1
     168: 1
     170: q+1
     172: q+1
     174: 1
     176: 1
     178: q+1
     180: q+1
     182: 1
     184: 1
     190: 1
     192: 1
     194: 1
     198: 1
     200: 1
     202: 1
     204: 1
     206: 1
     210: 1
     217: q+1
     219: 1
     225: 1
     229: q+1
     230: 1
     232: 1
     236: 1
     242: 1
     243: 1
     244: 1
     246: 1
     248: 1
     250: 1
     252: q+1
     254: q+1
     256: 1
     258: 1
     266: 1
     270: 1
     276: 1
     278: 1
     286: 1
     288: 1
     292: 1
     301: 1
     305: 1
     314: 1
     320: q+1
     322: 1
     324: 1
     325: 1
     329: 1
     337: 1
     338: 1
     340: 1
     342: 1
     344: 1
     352: 1
     372: 1
     374: 1
     376: 1
     394: 1
     398: 1
     412: 1
     413: 1
     417: 1
     426: 1
     432: 1
     434: 1
     468: 1
     472: 1
     499: 1
     503: 1
     519: 1
     571: 1

572:   0: q+1
       1: q+1
       2: q^3+2q^2+2q+1
       3: q+1
       4: q+1
       5: q+1
       6: q+1
       7: q+1
       8: q^3+2q^2+2q+1
       9: q+1
      10: q+1
      12: q^3+2q^2+2q+1
      15: q+1
      16: q+1
      17: q+1
      19: q+1
      20: q+1
      21: q+1
      23: q+1
      24: q+1
      27: q+1
      28: q+1
      29: q+1
      30: q^3+2q^2+2q+1
      31: 1
      32: 1
      33: q^2+q+1
      34: 1
      35: q+1
      36: q+1
      37: q^3+2q^2+2q+1
      38: q+1
      40: q+1
      41: q+1
      42: 1
      43: 1
      44: 1
      45: q+1
      46: q+1
      47: q+1
      49: 1
      51: 1
      53: q^2+q+1
      55: 1
      56: q+1
      57: q+1
      58: q+1
      60: q+1
      61: q+1
      64: q+1
      66: q+1
      68: 1
      69: 1
      70: q^2+q+1
      71: 1
      72: q+1
      73: q+1
      74: q^3+2q^2+2q+1
      75: q+1
      77: 1
      79: 1
      81: 1
      84: q+1
      86: q+1
      87: 1
      89: 1
      91: 1
      93: q^2+q+1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: q+1
     101: q+1
     102: q+1
     103: q+1
     104: q+1
     105: q+1
     108: q+1
     110: q+1
     112: 1
     114: 1
     116: q+1
     118: q+1
     120: 1
     121: 1
     122: q^2+q+1
     123: 1
     125: 1
     127: 1
     129: 1
     131: 1
     133: 1
     137: 1
     141: 1
     146: q+1
     147: 1
     148: 1
     152: 1
     153: 1
     154: q+1
     157: q+1
     158: q+1
     159: 1
     160: 1
     161: 1
     163: 1
     165: 1
     167: q^2+q+1
     169: 1
     170: q+1
     172: q+1
     174: 1
     176: 1
     178: q+1
     180: q+1
     182: 1
     184: 1
     191: 1
     193: 1
     195: 1
     199: 1
     201: 1
     203: 1
     205: 1
     207: 1
     211: 1
     217: q+1
     219: 1
     225: 1
     229: q+1
     230: 1
     233: 1
     237: 1
     242: 1
     243: 1
     244: 1
     246: 1
     248: 1
     250: 1
     252: q+1
     254: q+1
     256: 1
     258: 1
     267: 1
     271: 1
     277: 1
     279: 1
     287: 1
     289: 1
     293: 1
     302: 1
     306: 1
     314: 1
     320: q+1
     322: 1
     324: 1
     326: 1
     330: 1
     337: 1
     338: 1
     340: 1
     342: 1
     344: 1
     353: 1
     373: 1
     375: 1
     377: 1
     395: 1
     399: 1
     412: 1
     414: 1
     418: 1
     426: 1
     432: 1
     434: 1
     469: 1
     473: 1
     500: 1
     504: 1
     519: 1
     572: 1

573:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       5: q+1
       6: q+1
       7: q+1
       8: q+1
       9: q+1
      10: q+1
      11: q+1
      13: q+1
      14: q+1
      15: q+1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      20: q+1
      21: q+1
      22: q+1
      23: q+1
      24: q+1
      25: q+1
      26: q+1
      27: 1
      28: 1
      29: 1
      31: q+1
      32: q+1
      33: q+1
      34: q+1
      35: q+1
      36: q+1
      37: q+1
      38: q+1
      39: q+1
      40: 1
      41: 1
      42: q+1
      43: q+1
      44: q+1
      45: q+1
      46: q+1
      47: q+1
      48: q+1
      50: q+1
      52: q+1
      54: q+1
      56: q+1
      57: q+1
      58: q+1
      59: q+1
      60: q+1
      61: q+1
      62: q+1
      63: q+1
      64: 1
      65: 1
      67: 1
      68: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: 1
      76: q+1
      78: q+1
      80: q+1
      82: q+1
      83: 1
      84: 1
      85: 1
      88: 1
      90: 1
      94: 1
      96: q+1
      97: q+1
      98: 1
      99: 1
     100: q+1
     101: q+1
     102: 1
     103: 1
     104: q+1
     105: q+1
     106: q+1
     107: q+1
     108: 1
     109: 1
     111: 1
     112: 1
     113: 1
     115: 1
     116: 1
     117: 1
     119: 1
     120: 1
     121: 1
     123: 1
     126: 1
     128: 1
     130: q+1
     132: q+1
     134: q+1
     135: 1
     136: 1
     138: 1
     142: 1
     144: 1
     145: 1
     148: q+1
     149: 1
     150: 1
     152: 1
     154: q+1
     155: 1
     156: 1
     157: 1
     160: 1
     161: 1
     162: 1
     164: 1
     168: 1
     170: 1
     171: 1
     173: 1
     174: 1
     175: 1
     177: 1
     178: 1
     179: 1
     181: 1
     182: 1
     183: 1
     185: 1
     186: 1
     188: 1
     194: 1
     200: q+1
     202: 1
     204: 1
     206: 1
     208: 1
     212: 1
     214: 1
     215: 1
     216: 1
     221: 1
     222: 1
     223: 1
     226: 1
     227: 1
     228: 1
     231: 1
     232: 1
     234: 1
     238: 1
     240: 1
     243: 1
     248: 1
     249: 1
     251: 1
     252: 1
     253: 1
     255: 1
     256: 1
     257: 1
     259: 1
     260: 1
     262: 1
     264: 1
     280: 1
     282: 1
     286: 1
     288: 1
     290: 1
     294: 1
     296: 1
     309: 1
     310: 1
     311: 1
     317: 1
     318: 1
     319: 1
     325: 1
     327: 1
     331: 1
     333: 1
     334: 1
     335: 1
     342: 1
     343: 1
     345: 1
     346: 1
     348: 1
     350: 1
     378: 1
     380: 1
     382: 1
     403: 1
     408: 1
     413: 1
     415: 1
     419: 1
     421: 1
     422: 1
     423: 1
     442: 1
     474: 1
     476: 1
     478: 1
     521: 1
     573: 1

574:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       5: q+1
       6: q+1
       7: q+1
       8: q+1
       9: q+1
      10: q+1
      11: q+1
      13: q+1
      14: q+1
      15: q+1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      20: q+1
      21: q+1
      22: q+1
      23: q+1
      24: q+1
      25: q+1
      26: q+1
      27: 1
      28: 1
      29: 1
      31: q+1
      32: q+1
      33: q+1
      34: q+1
      35: q+1
      36: q+1
      37: q+1
      38: q+1
      39: q+1
      40: 1
      41: 1
      42: q+1
      43: q+1
      44: q+1
      45: q+1
      46: q+1
      47: q+1
      49: q+1
      51: q+1
      53: q+1
      55: q+1
      56: q+1
      57: q+1
      58: q+1
      59: q+1
      60: q+1
      61: q+1
      62: q+1
      63: q+1
      64: 1
      65: 1
      67: 1
      68: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: 1
      77: q+1
      79: q+1
      81: q+1
      82: q+1
      83: 1
      84: 1
      85: 1
      89: 1
      91: 1
      95: 1
      96: q+1
      97: q+1
      98: 1
      99: 1
     100: q+1
     101: q+1
     102: 1
     103: 1
     104: q+1
     105: q+1
     106: q+1
     107: q+1
     108: 1
     109: 1
     111: 1
     112: 1
     113: 1
     115: 1
     116: 1
     117: 1
     119: 1
     120: 1
     121: 1
     123: 1
     127: 1
     129: 1
     131: q+1
     133: q+1
     134: q+1
     135: 1
     137: 1
     139: 1
     143: 1
     144: 1
     145: 1
     148: q+1
     149: 1
     150: 1
     152: 1
     154: q+1
     155: 1
     156: 1
     157: 1
     160: 1
     161: 1
     163: 1
     165: 1
     169: 1
     170: 1
     171: 1
     173: 1
     174: 1
     175: 1
     177: 1
     178: 1
     179: 1
     181: 1
     182: 1
     183: 1
     185: 1
     187: 1
     189: 1
     195: 1
     201: q+1
     203: 1
     205: 1
     207: 1
     209: 1
     213: 1
     214: 1
     215: 1
     216: 1
     221: 1
     222: 1
     223: 1
     226: 1
     227: 1
     228: 1
     231: 1
     233: 1
     235: 1
     239: 1
     240: 1
     243: 1
     248: 1
     249: 1
     251: 1
     252: 1
     253: 1
     255: 1
     256: 1
     257: 1
     259: 1
     261: 1
     263: 1
     265: 1
     281: 1
     283: 1
     287: 1
     289: 1
     291: 1
     295: 1
     296: 1
     309: 1
     310: 1
     311: 1
     317: 1
     318: 1
     319: 1
     326: 1
     328: 1
     332: 1
     333: 1
     334: 1
     335: 1
     342: 1
     343: 1
     345: 1
     347: 1
     349: 1
     351: 1
     379: 1
     381: 1
     383: 1
     403: 1
     408: 1
     414: 1
     416: 1
     420: 1
     421: 1
     422: 1
     423: 1
     443: 1
     475: 1
     477: 1
     479: 1
     521: 1
     574: 1

575:   0: 4q+1
       1: q^2+2q+1
       2: 4q+1
       3: q^2+2q+1
       4: 4q+1
       6: q+1
       7: q^2+2q+1
       8: 4q+1
      11: q+1
      12: 2q^2+3q+1
      19: 2q+1
      20: q+1
      21: 2q+1
      23: 4q+1
      24: 4q+1
      25: q+1
      27: 2q+1
      28: q+1
      30: 3q+1
      31: 4q+1
      32: q^2+2q+1
      33: 4q+1
      35: 4q+1
      36: q^2+2q+1
      37: 4q+1
      41: q+1
      43: 2q+1
      44: 4q+1
      46: 2q+1
      47: 4q+1
      48: 2q+1
      49: 2q
      50: q+1
      51: q^2+q
      52: 2q+1
      53: 2q
      60: 2q+1
      61: 2q+1
      62: q+1
      64: 2q+1
      65: q+1
      66: 3q+1
      68: 2q+1
      69: q+1
      70: 3q+1
      72: 2q+1
      73: q+1
      74: 3q+1
      78: q+1
      79: q
      80: 2q+1
      81: 2q
      83: q+1
      86: q+1
      87: q+1
      88: 1
      89: q
      90: 1
      91: q
      92: q+1
      93: q
      97: 2q+1
      99: q+1
     101: 2q+1
     103: q+1
     108: 1
     109: 1
     110: q+1
     112: 2q+1
     113: q+1
     114: 3q+1
     116: 2q+1
     117: q+1
     118: 3q+1
     120: 2q+1
     121: q+1
     122: 3q+1
     124: 1
     128: 1
     129: q
     132: q+1
     133: q
     136: 1
     137: q
     138: 1
     139: q
     140: q+1
     141: q
     145: 1
     146: 1
     147: 1
     149: q+1
     151: q+1
     153: q+1
     155: q+1
     158: q+1
     159: q+1
     161: q+1
     162: 1
     163: q
     164: 1
     165: q
     166: q+1
     167: q
     174: 1
     175: 1
     176: q+1
     178: 1
     179: 1
     180: q+1
     182: 2q+1
     183: q+1
     184: 3q+1
     186: 1
     187: q
     190: 1
     192: 1
     196: 1
     198: 1
     204: 1
     205: q
     218: 1
     220: 1
     223: 1
     224: 1
     225: 1
     228: 1
     229: 1
     230: 1
     231: q+1
     232: 1
     233: q
     234: 1
     235: q
     236: q+1
     237: q
     241: q+1
     242: q+1
     244: 2
     246: 2
     256: 1
     257: 1
     258: q+1
     268: 1
     272: 1
     274: 1
     276: 1
     278: 1
     280: 1
     281: q
     284: 1
     301: 1
     302: 1
     305: 1
     306: 1
     313: 1
     315: 1
     316: 2
     321: 1
     323: 1
     324: 2
     335: 1
     336: 1
     337: 1
     338: 1
     340: 1
     362: 1
     368: 1
     369: 1
     370: 1
     376: 1
     377: 1
     384: 1
     386: 1
     388: 2
     407: 1
     412: 1
     425: 1
     427: 1
     428: 1
     430: 1
     436: 1
     437: 1
     480: 1
     486: 1
     509: 1
     515: 1
     575: 1

576:   0: 4q+1
       1: q^2+2q+1
       2: 4q+1
       3: q^2+2q+1
       4: 4q+1
       6: q+1
       7: q^2+2q+1
       8: 4q+1
      11: q+1
      12: 2q^2+3q+1
      19: 2q+1
      20: q+1
      21: 2q+1
      23: 4q+1
      24: 4q+1
      25: q+1
      27: 2q+1
      28: q+1
      30: 3q+1
      31: 4q+1
      32: q^2+2q+1
      33: 4q+1
      35: 4q+1
      36: q^2+2q+1
      37: 4q+1
      41: q+1
      43: 2q+1
      44: 4q+1
      46: 2q+1
      47: 4q+1
      48: 2q
      49: 2q+1
      50: q^2+q
      51: q+1
      52: 2q
      53: 2q+1
      60: 2q+1
      61: 2q+1
      62: q+1
      64: 2q+1
      65: q+1
      66: 3q+1
      68: 2q+1
      69: q+1
      70: 3q+1
      72: 2q+1
      73: q+1
      74: 3q+1
      78: q
      79: q+1
      80: 2q
      81: 2q+1
      83: q+1
      86: q+1
      87: q+1
      88: q
      89: 1
      90: q
      91: 1
      92: q
      93: q+1
      97: 2q+1
      99: q+1
     101: 2q+1
     103: q+1
     108: 1
     109: 1
     110: q+1
     112: 2q+1
     113: q+1
     114: 3q+1
     116: 2q+1
     117: q+1
     118: 3q+1
     120: 2q+1
     121: q+1
     122: 3q+1
     125: 1
     128: q
     129: 1
     132: q
     133: q+1
     136: q
     137: 1
     138: q
     139: 1
     140: q
     141: q+1
     145: 1
     146: 1
     147: 1
     149: q+1
     151: q+1
     153: q+1
     155: q+1
     158: q+1
     159: q+1
     161: q+1
     162: q
     163: 1
     164: q
     165: 1
     166: q
     167: q+1
     174: 1
     175: 1
     176: q+1
     178: 1
     179: 1
     180: q+1
     182: 2q+1
     183: q+1
     184: 3q+1
     186: q
     187: 1
     191: 1
     193: 1
     197: 1
     199: 1
     204: q
     205: 1
     218: 1
     220: 1
     223: 1
     224: 1
     225: 1
     228: 1
     229: 1
     230: 1
     231: q+1
     232: q
     233: 1
     234: q
     235: 1
     236: q
     237: q+1
     241: q+1
     242: q+1
     244: 2
     246: 2
     256: 1
     257: 1
     258: q+1
     269: 1
     273: 1
     275: 1
     277: 1
     279: 1
     280: q
     281: 1
     285: 1
     301: 1
     302: 1
     305: 1
     306: 1
     313: 1
     315: 1
     316: 2
     321: 1
     323: 1
     324: 2
     335: 1
     336: 1
     337: 1
     338: 1
     340: 1
     363: 1
     368: 1
     369: 1
     371: 1
     376: 1
     377: 1
     385: 1
     387: 1
     389: 2
     407: 1
     412: 1
     425: 1
     427: 1
     428: 1
     430: 1
     439: 1
     440: 1
     481: 1
     487: 1
     509: 1
     515: 1
     576: 1

577:   0: q+1
       1: q+1
       2: q+1
       3: q^3+1
       4: q+1
       6: q^3+1
       7: q+1
       8: q+1
      11: q^3+1
      12: q^3+q^2+q+1
      19: q+1
      20: q^3+1
      21: q+1
      23: q+1
      24: q+1
      25: q^3+1
      27: 1
      28: 1
      30: q+1
      31: q+1
      32: q+1
      33: q+1
      35: q+1
      36: q+1
      37: q+1
      41: 1
      43: q+1
      44: q+1
      46: q+1
      47: q+1
      48: q+1
      50: q+1
      52: q+1
      60: q+1
      61: q+1
      62: q^3+1
      64: 1
      65: 1
      66: q+1
      68: 1
      69: 1
      70: q+1
      72: 1
      73: 1
      74: q+1
      78: q+1
      80: q+1
      83: 1
      86: 1
      87: 1
      88: 1
      90: 1
      92: q+1
      97: q+1
      99: 1
     101: q+1
     103: 1
     108: 1
     109: 1
     110: q+1
     112: 1
     113: 1
     114: q+1
     116: 1
     117: 1
     118: q+1
     120: 1
     121: 1
     122: q+1
     124: 1
     128: 1
     132: q+1
     136: 1
     138: 1
     140: q+1
     145: 1
     146: 1
     147: 1
     149: 1
     151: 1
     153: 1
     155: 1
     158: 1
     159: 1
     161: 1
     162: 1
     164: 1
     166: q+1
     174: 1
     175: 1
     176: q+1
     178: 1
     179: 1
     180: q+1
     182: 1
     183: 1
     184: q+1
     186: 1
     190: 1
     192: 1
     196: 1
     198: 1
     204: 1
     206: 1
     208: 1
     210: q+1
     218: 1
     220: 1
     223: 1
     224: 1
     225: 1
     228: 1
     229: 1
     230: 1
     231: 1
     232: 1
     234: 1
     236: q+1
     241: 1
     242: 1
     256: 1
     257: 1
     258: q+1
     262: 1
     266: 1
     268: 1
     272: 1
     274: 1
     276: 1
     278: 1
     280: 1
     284: 1
     313: 1
     315: 1
     321: 1
     323: 1
     325: 1
     327: 1
     329: q+1
     335: 1
     336: 1
     337: 1
     354: 1
     362: 1
     364: 1
     370: 1
     372: 1
     380: 1
     384: 1
     386: 1
     425: 1
     427: 1
     454: 1
     464: 1
     480: 1
     482: 1
     577: 1

578:   0: q+1
       1: q+1
       2: q+1
       3: q^3+1
       4: q+1
       6: q^3+1
       7: q+1
       8: q+1
      11: q^3+1
      12: q^3+q^2+q+1
      19: q+1
      20: q^3+1
      21: q+1
      23: q+1
      24: q+1
      25: q^3+1
      27: 1
      28: 1
      30: q+1
      31: q+1
      32: q+1
      33: q+1
      35: q+1
      36: q+1
      37: q+1
      41: 1
      43: q+1
      44: q+1
      46: q+1
      47: q+1
      49: q+1
      51: q+1
      53: q+1
      60: q+1
      61: q+1
      62: q^3+1
      64: 1
      65: 1
      66: q+1
      68: 1
      69: 1
      70: q+1
      72: 1
      73: 1
      74: q+1
      79: q+1
      81: q+1
      83: 1
      86: 1
      87: 1
      89: 1
      91: 1
      93: q+1
      97: q+1
      99: 1
     101: q+1
     103: 1
     108: 1
     109: 1
     110: q+1
     112: 1
     113: 1
     114: q+1
     116: 1
     117: 1
     118: q+1
     120: 1
     121: 1
     122: q+1
     125: 1
     129: 1
     133: q+1
     137: 1
     139: 1
     141: q+1
     145: 1
     146: 1
     147: 1
     149: 1
     151: 1
     153: 1
     155: 1
     158: 1
     159: 1
     161: 1
     163: 1
     165: 1
     167: q+1
     174: 1
     175: 1
     176: q+1
     178: 1
     179: 1
     180: q+1
     182: 1
     183: 1
     184: q+1
     187: 1
     191: 1
     193: 1
     197: 1
     199: 1
     205: 1
     207: 1
     209: 1
     211: q+1
     218: 1
     220: 1
     223: 1
     224: 1
     225: 1
     228: 1
     229: 1
     230: 1
     231: 1
     233: 1
     235: 1
     237: q+1
     241: 1
     242: 1
     256: 1
     257: 1
     258: q+1
     263: 1
     267: 1
     269: 1
     273: 1
     275: 1
     277: 1
     279: 1
     281: 1
     285: 1
     313: 1
     315: 1
     321: 1
     323: 1
     326: 1
     328: 1
     330: q+1
     335: 1
     336: 1
     337: 1
     355: 1
     363: 1
     365: 1
     371: 1
     373: 1
     381: 1
     385: 1
     387: 1
     425: 1
     427: 1
     455: 1
     465: 1
     481: 1
     483: 1
     578: 1

579:   0: 5q+1
       1: q^2+3q+1
       2: 5q+1
       3: q^3+2q^2+2q+1
       4: 5q+1
       5: q^2+3q+1
       6: q^2+q+1
       7: q^2+3q+1
       8: 5q+1
       9: q^2+q+1
      10: q^2+3q+1
      11: q^2+q+1
      12: q^3+3q^2+3q+1
      13: q^2+q+1
      15: q^2+3q+1
      16: q^2+q+1
      17: q^2+3q+1
      18: q^2+q+1
      19: 3q+1
      20: q^2+q+1
      21: 3q+1
      23: 5q+1
      24: 5q+1
      25: q^2+q+1
      26: q^2+q+1
      27: 2q+1
      28: q+1
      29: q+1
      30: 3q+1
      31: 5q+1
      32: q^2+3q+1
      33: 5q+1
      34: q^2+3q+1
      35: 5q+1
      36: q^2+3q+1
      37: 5q+1
      38: q^2+3q+1
      39: q^2+q+1
      40: q+1
      41: q+1
      42: q^2+3q+1
      43: 3q+1
      44: 5q+1
      45: q^2+3q+1
      46: 3q+1
      47: 5q+1
      48: 3q+1
      49: 2q
      50: 2q+1
      51: q^2+q
      52: 3q+1
      53: 2q
      54: 2q+1
      55: q^2+q
      56: 3q+1
      57: q^2+q+1
      58: 3q+1
      60: 3q+1
      61: 3q+1
      62: q^2+q+1
      64: 2q+1
      65: q+1
      66: 3q+1
      67: q+1
      68: 2q+1
      69: q+1
      70: 3q+1
      71: q+1
      72: 2q+1
      73: q+1
      74: 3q+1
      75: q+1
      76: 2q+1
      77: q^2+q
      78: 2q+1
      79: q
      80: 3q+1
      81: 2q
      83: q+1
      84: q+1
      85: q+1
      86: q+1
      87: q+1
      88: 1
      90: 1
      92: q+1
      94: 1
      96: 3q+1
      97: 3q+1
      98: q+1
      99: q+1
     100: 3q+1
     101: 3q+1
     102: q+1
     103: q+1
     104: 3q+1
     105: 3q+1
     106: q^2+q+1
     108: 1
     109: 1
     110: q+1
     112: 2q+1
     113: q+1
     114: 3q+1
     115: q+1
     116: 2q+1
     117: q+1
     118: 3q+1
     119: q+1
     120: 2q+1
     121: q+1
     122: 3q+1
     123: q+1
     124: 1
     126: 1
     128: 1
     130: 2q+1
     131: q
     132: 2q+1
     133: q
     135: q+1
     136: 1
     138: 1
     140: q+1
     142: 1
     145: 1
     146: 1
     147: 1
     148: 3q+1
     149: q+1
     150: q+1
     151: q+1
     152: q+1
     153: q+1
     154: 3q+1
     155: q+1
     156: q+1
     157: q+1
     158: q+1
     159: q+1
     160: q+1
     161: q+1
     162: 1
     164: 1
     166: q+1
     168: 1
     170: 1
     171: 1
     172: q+1
     174: 1
     175: 1
     176: q+1
     178: 1
     179: 1
     180: q+1
     182: 2q+1
     183: q+1
     184: 3q+1
     185: q+1
     186: 1
     188: 1
     190: 1
     192: 1
     194: 1
     196: 1
     198: 1
     200: 2q+1
     201: q
     202: 1
     204: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: q+1
     223: 1
     224: 1
     225: 1
     226: q+1
     228: 1
     229: 1
     230: 1
     231: q+1
     232: 1
     234: 1
     236: q+1
     238: 1
     240: q+1
     241: q+1
     242: q+1
     243: q+1
     248: 1
     249: 1
     250: q+1
     252: 1
     253: 1
     254: q+1
     256: 1
     257: 1
     258: q+1
     264: 1
     268: 1
     270: 1
     272: 1
     274: 1
     276: 1
     278: 1
     280: 1
     282: 1
     284: 1
     286: 1
     297: 1
     298: 1
     311: 1
     312: 1
     313: 1
     314: 1
     315: 1
     319: 1
     320: 1
     321: 1
     322: 1
     323: 1
     333: q+1
     335: 1
     336: 1
     337: 1
     342: 1
     343: 1
     344: q+1
     356: 1
     362: 1
     366: 1
     370: 1
     374: 1
     382: 1
     384: 1
     386: 1
     404: 1
     405: 1
     409: 1
     410: 1
     423: 1
     424: 1
     425: 1
     426: 1
     427: 1
     456: 1
     466: 1
     480: 1
     484: 1
     522: 1
     523: 1
     579: 1

580:   0: 5q+1
       1: q^2+3q+1
       2: 5q+1
       3: q^3+2q^2+2q+1
       4: 5q+1
       5: q^2+3q+1
       6: q^2+q+1
       7: q^2+3q+1
       8: 5q+1
       9: q^2+q+1
      10: q^2+3q+1
      11: q^2+q+1
      12: q^3+3q^2+3q+1
      13: q^2+q+1
      15: q^2+3q+1
      16: q^2+q+1
      17: q^2+3q+1
      18: q^2+q+1
      19: 3q+1
      20: q^2+q+1
      21: 3q+1
      23: 5q+1
      24: 5q+1
      25: q^2+q+1
      26: q^2+q+1
      27: 2q+1
      28: q+1
      29: q+1
      30: 3q+1
      31: 5q+1
      32: q^2+3q+1
      33: 5q+1
      34: q^2+3q+1
      35: 5q+1
      36: q^2+3q+1
      37: 5q+1
      38: q^2+3q+1
      39: q^2+q+1
      40: q+1
      41: q+1
      42: q^2+3q+1
      43: 3q+1
      44: 5q+1
      45: q^2+3q+1
      46: 3q+1
      47: 5q+1
      48: 2q
      49: 3q+1
      50: q^2+q
      51: 2q+1
      52: 2q
      53: 3q+1
      54: q^2+q
      55: 2q+1
      56: 3q+1
      57: q^2+q+1
      58: 3q+1
      60: 3q+1
      61: 3q+1
      62: q^2+q+1
      64: 2q+1
      65: q+1
      66: 3q+1
      67: q+1
      68: 2q+1
      69: q+1
      70: 3q+1
      71: q+1
      72: 2q+1
      73: q+1
      74: 3q+1
      75: q+1
      76: q^2+q
      77: 2q+1
      78: q
      79: 2q+1
      80: 2q
      81: 3q+1
      83: q+1
      84: q+1
      85: q+1
      86: q+1
      87: q+1
      89: 1
      91: 1
      93: q+1
      95: 1
      96: 3q+1
      97: 3q+1
      98: q+1
      99: q+1
     100: 3q+1
     101: 3q+1
     102: q+1
     103: q+1
     104: 3q+1
     105: 3q+1
     106: q^2+q+1
     108: 1
     109: 1
     110: q+1
     112: 2q+1
     113: q+1
     114: 3q+1
     115: q+1
     116: 2q+1
     117: q+1
     118: 3q+1
     119: q+1
     120: 2q+1
     121: q+1
     122: 3q+1
     123: q+1
     125: 1
     127: 1
     129: 1
     130: q
     131: 2q+1
     132: q
     133: 2q+1
     135: q+1
     137: 1
     139: 1
     141: q+1
     143: 1
     145: 1
     146: 1
     147: 1
     148: 3q+1
     149: q+1
     150: q+1
     151: q+1
     152: q+1
     153: q+1
     154: 3q+1
     155: q+1
     156: q+1
     157: q+1
     158: q+1
     159: q+1
     160: q+1
     161: q+1
     163: 1
     165: 1
     167: q+1
     169: 1
     170: 1
     171: 1
     172: q+1
     174: 1
     175: 1
     176: q+1
     178: 1
     179: 1
     180: q+1
     182: 2q+1
     183: q+1
     184: 3q+1
     185: q+1
     187: 1
     189: 1
     191: 1
     193: 1
     195: 1
     197: 1
     199: 1
     200: q
     201: 2q+1
     203: 1
     205: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: q+1
     223: 1
     224: 1
     225: 1
     226: q+1
     228: 1
     229: 1
     230: 1
     231: q+1
     233: 1
     235: 1
     237: q+1
     239: 1
     240: q+1
     241: q+1
     242: q+1
     243: q+1
     248: 1
     249: 1
     250: q+1
     252: 1
     253: 1
     254: q+1
     256: 1
     257: 1
     258: q+1
     265: 1
     269: 1
     271: 1
     273: 1
     275: 1
     277: 1
     279: 1
     281: 1
     283: 1
     285: 1
     287: 1
     297: 1
     298: 1
     311: 1
     312: 1
     313: 1
     314: 1
     315: 1
     319: 1
     320: 1
     321: 1
     322: 1
     323: 1
     333: q+1
     335: 1
     336: 1
     337: 1
     342: 1
     343: 1
     344: q+1
     357: 1
     363: 1
     367: 1
     371: 1
     375: 1
     383: 1
     385: 1
     387: 1
     404: 1
     405: 1
     409: 1
     410: 1
     423: 1
     424: 1
     425: 1
     426: 1
     427: 1
     457: 1
     467: 1
     481: 1
     485: 1
     522: 1
     523: 1
     580: 1

581:   0: 1
       1: 1
       2: q^2+q+1
       3: q^3+1
       4: 1
       5: 1
       6: q^3+1
       7: 1
       8: q^2+q+1
       9: q^3+1
      10: 1
      12: q^3+q^2+q+1
      15: 1
      16: q^3+1
      17: 1
      19: 1
      20: q^3+1
      21: 1
      23: 1
      24: 1
      27: 1
      28: 1
      29: 1
      30: q^2+q+1
      31: 1
      32: 1
      33: q^2+q+1
      34: 1
      35: 1
      36: 1
      37: q^2+q+1
      38: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      48: 1
      50: 1
      52: q^2+q+1
      54: 1
      56: 1
      57: q^3+1
      58: 1
      60: 1
      61: 1
      64: 1
      66: 1
      68: 1
      69: 1
      70: q^2+q+1
      71: 1
      72: 1
      73: 1
      74: q^2+q+1
      75: 1
      76: 1
      78: 1
      80: 1
      84: 1
      86: 1
      87: 1
      88: 1
      90: 1
      92: q^2+q+1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     108: 1
     110: 1
     112: 1
     114: 1
     116: 1
     118: 1
     120: 1
     121: 1
     122: q^2+q+1
     123: 1
     124: 1
     126: 1
     128: 1
     130: 1
     132: 1
     136: 1
     140: 1
     146: 1
     147: 1
     148: 1
     151: 1
     152: 1
     153: 1
     154: 1
     157: 1
     158: 1
     159: 1
     160: 1
     161: 1
     162: 1
     164: 1
     166: q^2+q+1
     168: 1
     170: 1
     172: 1
     174: 1
     176: 1
     178: 1
     180: 1
     182: 1
     184: 1
     190: 1
     192: 1
     194: 1
     196: 1
     198: 1
     200: 1
     202: 1
     204: 1
     206: 1
     210: 1
     217: 1
     219: 1
     224: 1
     225: 1
     229: 1
     230: 1
     232: 1
     236: 1
     241: 1
     242: 1
     243: 1
     248: 1
     250: 1
     252: 1
     254: 1
     256: 1
     258: 1
     266: 1
     270: 1
     272: 1
     274: 1
     276: 1
     278: 1
     284: 1
     286: 1
     288: 1
     292: 1
     312: 1
     314: 1
     320: 1
     322: 1
     325: 1
     329: 1
     336: 1
     337: 1
     342: 1
     344: 1
     352: 1
     364: 1
     366: 1
     372: 1
     374: 1
     384: 1
     386: 1
     413: 1
     417: 1
     424: 1
     426: 1
     458: 1
     468: 1
     482: 1
     484: 1
     581: 1

582:   0: 1
       1: 1
       2: q^2+q+1
       3: q^3+1
       4: 1
       5: 1
       6: q^3+1
       7: 1
       8: q^2+q+1
       9: q^3+1
      10: 1
      12: q^3+q^2+q+1
      15: 1
      16: q^3+1
      17: 1
      19: 1
      20: q^3+1
      21: 1
      23: 1
      24: 1
      27: 1
      28: 1
      29: 1
      30: q^2+q+1
      31: 1
      32: 1
      33: q^2+q+1
      34: 1
      35: 1
      36: 1
      37: q^2+q+1
      38: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      49: 1
      51: 1
      53: q^2+q+1
      55: 1
      56: 1
      57: q^3+1
      58: 1
      60: 1
      61: 1
      64: 1
      66: 1
      68: 1
      69: 1
      70: q^2+q+1
      71: 1
      72: 1
      73: 1
      74: q^2+q+1
      75: 1
      77: 1
      79: 1
      81: 1
      84: 1
      86: 1
      87: 1
      89: 1
      91: 1
      93: q^2+q+1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     108: 1
     110: 1
     112: 1
     114: 1
     116: 1
     118: 1
     120: 1
     121: 1
     122: q^2+q+1
     123: 1
     125: 1
     127: 1
     129: 1
     131: 1
     133: 1
     137: 1
     141: 1
     146: 1
     147: 1
     148: 1
     151: 1
     152: 1
     153: 1
     154: 1
     157: 1
     158: 1
     159: 1
     160: 1
     161: 1
     163: 1
     165: 1
     167: q^2+q+1
     169: 1
     170: 1
     172: 1
     174: 1
     176: 1
     178: 1
     180: 1
     182: 1
     184: 1
     191: 1
     193: 1
     195: 1
     197: 1
     199: 1
     201: 1
     203: 1
     205: 1
     207: 1
     211: 1
     217: 1
     219: 1
     224: 1
     225: 1
     229: 1
     230: 1
     233: 1
     237: 1
     241: 1
     242: 1
     243: 1
     248: 1
     250: 1
     252: 1
     254: 1
     256: 1
     258: 1
     267: 1
     271: 1
     273: 1
     275: 1
     277: 1
     279: 1
     285: 1
     287: 1
     289: 1
     293: 1
     312: 1
     314: 1
     320: 1
     322: 1
     326: 1
     330: 1
     336: 1
     337: 1
     342: 1
     344: 1
     353: 1
     365: 1
     367: 1
     373: 1
     375: 1
     385: 1
     387: 1
     414: 1
     418: 1
     424: 1
     426: 1
     459: 1
     469: 1
     483: 1
     485: 1
     582: 1

583:   0: 3q+1
       1: 2q^2+q+1
       2: 3q+1
       3: q^2+2q+1
       4: 3q+1
       6: q^3+q^2+q+1
       7: 2q^2+q+1
       8: 3q+1
      11: q^3+q^2+q+1
      12: q^2+2q+1
      19: q+1
      20: q+1
      21: q+1
      23: 3q+1
      24: 3q+1
      25: q^3+q^2+q+1
      27: 2q+1
      28: q^2+q+1
      30: 2q+1
      31: 3q+1
      32: 2q^2+q+1
      33: 3q+1
      35: 3q+1
      36: 2q^2+q+1
      37: 3q+1
      41: q+1
      43: q+1
      44: 3q+1
      46: q+1
      47: 3q+1
      48: 2q+1
      49: q
      50: q^2+q+1
      51: q^2
      52: 2q+1
      53: q
      60: q+1
      61: q+1
      62: q+1
      64: 2q+1
      65: q^2+q+1
      66: 2q+1
      68: 2q+1
      69: q^2+q+1
      70: 2q+1
      72: 2q+1
      73: q^2+q+1
      74: 2q+1
      78: q+1
      80: 2q+1
      81: q
      83: q+1
      86: q+1
      87: q+1
      88: q+1
      90: q+1
      92: q+1
      97: q+1
      99: q+1
     101: q+1
     103: q+1
     108: 1
     109: 1
     110: 1
     112: 2q+1
     113: q^2+q+1
     114: 2q+1
     116: 2q+1
     117: q^2+q+1
     118: 2q+1
     120: 2q+1
     121: q^2+q+1
     122: 2q+1
     124: 1
     128: q+1
     132: q+1
     136: q+1
     138: q+1
     140: q+1
     145: 1
     146: 1
     147: 1
     149: q+1
     151: q+1
     153: q+1
     155: q+1
     158: q+1
     159: q+1
     161: q+1
     162: q+1
     164: q+1
     166: q+1
     174: 1
     175: 1
     176: 1
     178: 1
     179: 1
     180: 1
     182: 2q+1
     183: q^2+q+1
     184: 2q+1
     186: q+1
     190: 1
     192: 1
     196: 1
     198: 1
     204: q+1
     218: 1
     220: 1
     223: 1
     224: 1
     225: 1
     228: 1
     229: 1
     230: 1
     231: q+1
     232: q+1
     234: q+1
     236: q+1
     241: q+1
     242: q+1
     244: 2
     245: q+1
     246: 2
     256: 1
     257: 1
     258: 1
     268: 1
     272: 1
     274: 1
     276: 1
     278: 1
     280: q+1
     284: 1
     299: 1
     301: 2
     303: q+1
     305: 2
     313: 1
     315: 1
     316: 2
     321: 1
     323: 1
     324: 2
     335: 1
     336: 1
     337: 1
     358: 1
     362: 1
     368: 2
     370: 1
     376: 2
     384: 1
     386: 1
     388: 1
     389: 1
     406: 1
     411: 1
     425: 1
     427: 1
     436: 1
     439: 1
     460: 1
     470: 1
     480: 1
     524: 1
     583: 1

584:   0: 3q+1
       1: 2q^2+q+1
       2: 3q+1
       3: q^2+2q+1
       4: 3q+1
       6: q^3+q^2+q+1
       7: 2q^2+q+1
       8: 3q+1
      11: q^3+q^2+q+1
      12: q^2+2q+1
      19: q+1
      20: q+1
      21: q+1
      23: 3q+1
      24: 3q+1
      25: q^3+q^2+q+1
      27: 2q+1
      28: q^2+q+1
      30: 2q+1
      31: 3q+1
      32: 2q^2+q+1
      33: 3q+1
      35: 3q+1
      36: 2q^2+q+1
      37: 3q+1
      41: q+1
      43: q+1
      44: 3q+1
      46: q+1
      47: 3q+1
      48: q
      49: 2q+1
      50: q^2
      51: q^2+q+1
      52: q
      53: 2q+1
      60: q+1
      61: q+1
      62: q+1
      64: 2q+1
      65: q^2+q+1
      66: 2q+1
      68: 2q+1
      69: q^2+q+1
      70: 2q+1
      72: 2q+1
      73: q^2+q+1
      74: 2q+1
      79: q+1
      80: q
      81: 2q+1
      83: q+1
      86: q+1
      87: q+1
      89: q+1
      91: q+1
      93: q+1
      97: q+1
      99: q+1
     101: q+1
     103: q+1
     108: 1
     109: 1
     110: 1
     112: 2q+1
     113: q^2+q+1
     114: 2q+1
     116: 2q+1
     117: q^2+q+1
     118: 2q+1
     120: 2q+1
     121: q^2+q+1
     122: 2q+1
     125: 1
     129: q+1
     133: q+1
     137: q+1
     139: q+1
     141: q+1
     145: 1
     146: 1
     147: 1
     149: q+1
     151: q+1
     153: q+1
     155: q+1
     158: q+1
     159: q+1
     161: q+1
     163: q+1
     165: q+1
     167: q+1
     174: 1
     175: 1
     176: 1
     178: 1
     179: 1
     180: 1
     182: 2q+1
     183: q^2+q+1
     184: 2q+1
     187: q+1
     191: 1
     193: 1
     197: 1
     199: 1
     205: q+1
     218: 1
     220: 1
     223: 1
     224: 1
     225: 1
     228: 1
     229: 1
     230: 1
     231: q+1
     233: q+1
     235: q+1
     237: q+1
     241: q+1
     242: q+1
     244: 2
     245: q+1
     246: 2
     256: 1
     257: 1
     258: 1
     269: 1
     273: 1
     275: 1
     277: 1
     279: 1
     281: q+1
     285: 1
     299: 1
     302: 2
     304: q+1
     306: 2
     313: 1
     315: 1
     316: 2
     321: 1
     323: 1
     324: 2
     335: 1
     336: 1
     337: 1
     359: 1
     363: 1
     369: 2
     371: 1
     377: 2
     385: 1
     387: 1
     388: 1
     389: 1
     406: 1
     411: 1
     425: 1
     427: 1
     437: 1
     440: 1
     461: 1
     471: 1
     481: 1
     524: 1
     584: 1

585:   0: q+1
       1: q+1
       2: q^2+2q+1
       3: q+1
       4: q+1
       5: q+1
       6: q+1
       7: q+1
       8: q^2+2q+1
       9: q+1
      10: q+1
      12: q^2+2q+1
      15: q+1
      16: q+1
      17: q+1
      19: q+1
      20: q+1
      21: q+1
      23: 1
      24: 1
      27: q+1
      28: q+1
      29: q+1
      30: q^2+2q+1
      31: q+1
      32: q+1
      33: q^2+2q+1
      34: q+1
      35: q+1
      36: q+1
      37: q^2+2q+1
      38: q+1
      40: q+1
      41: q+1
      42: q+1
      43: q+1
      44: 1
      45: q+1
      46: q+1
      47: 1
      48: 1
      49: q
      50: 1
      51: q
      52: q^2+q+1
      53: q
      54: 1
      55: q
      56: q+1
      57: q+1
      58: q+1
      60: 1
      61: 1
      64: 1
      66: 1
      68: q+1
      69: q+1
      70: q^2+2q+1
      71: q+1
      72: q+1
      73: q+1
      74: q^2+2q+1
      75: q+1
      76: 1
      77: q
      78: 1
      79: q
      80: 1
      84: q+1
      86: 1
      87: 1
      88: 1
      89: q
      90: 1
      91: q
      92: q^2+q+1
      93: q
      94: 1
      95: q
      96: q+1
      97: 1
      98: q+1
      99: q+1
     100: q+1
     101: 1
     102: q+1
     103: q+1
     104: 1
     105: 1
     108: 1
     110: 1
     112: 1
     114: 1
     116: 1
     118: 1
     120: q+1
     121: q+1
     122: q^2+2q+1
     123: q+1
     124: 1
     126: 1
     127: q
     128: 1
     129: q
     130: 1
     131: q
     132: 1
     146: 1
     147: 1
     148: 1
     151: 1
     152: q+1
     153: 1
     154: 1
     157: q+1
     158: 1
     159: 1
     160: q+1
     161: q+1
     162: 1
     163: q
     164: 1
     165: q
     166: q^2+q+1
     167: q
     168: 1
     169: q
     170: 1
     172: 1
     174: 1
     176: 1
     178: 1
     180: 1
     182: 1
     184: 1
     192: 1
     194: 1
     195: q
     196: 1
     198: 1
     200: 1
     202: 1
     203: q
     204: 1
     205: q
     217: 1
     219: 1
     224: 1
     225: 1
     229: 1
     230: 1
     241: 1
     242: 1
     243: q+1
     244: 1
     246: 1
     248: 1
     250: 1
     252: 1
     254: 1
     256: 1
     258: 1
     270: 1
     274: 1
     278: 1
     284: 1
     286: 1
     287: q
     312: 1
     314: 1
     316: 1
     320: 1
     322: 1
     324: 1
     336: 1
     337: 1
     338: 1
     340: 1
     342: 1
     344: 1
     366: 1
     374: 1
     384: 1
     388: 1
     407: 1
     412: 1
     424: 1
     426: 1
     432: 1
     434: 1
     484: 1
     486: 1
     513: 1
     519: 1
     585: 1

586:   0: q+1
       1: q+1
       2: q^2+2q+1
       3: q+1
       4: q+1
       5: q+1
       6: q+1
       7: q+1
       8: q^2+2q+1
       9: q+1
      10: q+1
      12: q^2+2q+1
      15: q+1
      16: q+1
      17: q+1
      19: q+1
      20: q+1
      21: q+1
      23: 1
      24: 1
      27: q+1
      28: q+1
      29: q+1
      30: q^2+2q+1
      31: q+1
      32: q+1
      33: q^2+2q+1
      34: q+1
      35: q+1
      36: q+1
      37: q^2+2q+1
      38: q+1
      40: q+1
      41: q+1
      42: q+1
      43: q+1
      44: 1
      45: q+1
      46: q+1
      47: 1
      48: q
      49: 1
      50: q
      51: 1
      52: q
      53: q^2+q+1
      54: q
      55: 1
      56: q+1
      57: q+1
      58: q+1
      60: 1
      61: 1
      64: 1
      66: 1
      68: q+1
      69: q+1
      70: q^2+2q+1
      71: q+1
      72: q+1
      73: q+1
      74: q^2+2q+1
      75: q+1
      76: q
      77: 1
      78: q
      79: 1
      81: 1
      84: q+1
      86: 1
      87: 1
      88: q
      89: 1
      90: q
      91: 1
      92: q
      93: q^2+q+1
      94: q
      95: 1
      96: q+1
      97: 1
      98: q+1
      99: q+1
     100: q+1
     101: 1
     102: q+1
     103: q+1
     104: 1
     105: 1
     108: 1
     110: 1
     112: 1
     114: 1
     116: 1
     118: 1
     120: q+1
     121: q+1
     122: q^2+2q+1
     123: q+1
     125: 1
     126: q
     127: 1
     128: q
     129: 1
     130: q
     131: 1
     133: 1
     146: 1
     147: 1
     148: 1
     151: 1
     152: q+1
     153: 1
     154: 1
     157: q+1
     158: 1
     159: 1
     160: q+1
     161: q+1
     162: q
     163: 1
     164: q
     165: 1
     166: q
     167: q^2+q+1
     168: q
     169: 1
     170: 1
     172: 1
     174: 1
     176: 1
     178: 1
     180: 1
     182: 1
     184: 1
     193: 1
     194: q
     195: 1
     197: 1
     199: 1
     201: 1
     202: q
     203: 1
     204: q
     205: 1
     217: 1
     219: 1
     224: 1
     225: 1
     229: 1
     230: 1
     241: 1
     242: 1
     243: q+1
     244: 1
     246: 1
     248: 1
     250: 1
     252: 1
     254: 1
     256: 1
     258: 1
     271: 1
     275: 1
     279: 1
     285: 1
     286: q
     287: 1
     312: 1
     314: 1
     316: 1
     320: 1
     322: 1
     324: 1
     336: 1
     337: 1
     338: 1
     340: 1
     342: 1
     344: 1
     367: 1
     375: 1
     385: 1
     389: 1
     407: 1
     412: 1
     424: 1
     426: 1
     432: 1
     434: 1
     485: 1
     487: 1
     513: 1
     519: 1
     586: 1

587:   0: q^3+3q^2+3q+1
       1: q^2+2q+1
       2: q^3+3q^2+3q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: q^2+2q+1
       6: q+1
       7: q+1
       8: q^2+2q+1
       9: q+1
      10: q+1
      11: q+1
      12: q^3+2q^2+2q+1
      13: q+1
      15: q^2+2q+1
      16: q+1
      17: q+1
      18: q+1
      19: q^2+2q+1
      20: q+1
      21: q+1
      23: q^3+3q^2+3q+1
      24: q^2+2q+1
      25: q+1
      26: q+1
      27: q^2+2q+1
      28: q+1
      29: q+1
      30: q^2+2q+1
      31: q^2+2q+1
      32: q+1
      33: q^2+2q+1
      34: q+1
      35: q^2+2q+1
      36: q+1
      37: q^2+2q+1
      38: q+1
      39: q+1
      40: q+1
      41: q+1
      42: q+1
      43: q+1
      44: q^2+2q+1
      45: q+1
      46: q+1
      47: q^2+2q+1
      48: q^2+2q+1
      50: q+1
      52: q^2+2q+1
      54: q+1
      56: q^2+2q+1
      57: q+1
      58: q+1
      60: q^2+2q+1
      61: q+1
      62: q+1
      64: q^2+2q+1
      65: q+1
      66: q^2+2q+1
      67: q+1
      68: q+1
      69: 1
      70: q^2+2q+1
      71: 1
      72: q+1
      73: 1
      74: q^2+2q+1
      75: 1
      76: q+1
      78: q+1
      80: q^2+2q+1
      83: q+1
      84: q+1
      85: q+1
      86: q+1
      87: q+1
      88: q+1
      90: 1
      92: q^2+2q+1
      94: 1
      96: q+1
      97: q+1
      98: 1
      99: 1
     100: q+1
     101: q+1
     102: 1
     103: 1
     104: q^2+2q+1
     105: q+1
     106: q+1
     108: q+1
     109: q+1
     110: q+1
     112: q+1
     113: 1
     114: q^2+2q+1
     115: 1
     116: q+1
     117: 1
     118: q^2+2q+1
     119: 1
     120: q+1
     121: 1
     123: 1
     124: q+1
     126: 1
     128: 1
     130: q+1
     132: q+1
     135: q+1
     136: q+1
     138: 1
     140: q^2+2q+1
     142: 1
     145: q+1
     146: 1
     147: 1
     148: q+1
     149: 1
     150: 1
     152: 1
     153: q+1
     154: q+1
     155: 1
     156: 1
     157: 1
     158: q+1
     160: 1
     161: 1
     162: q+1
     164: 1
     168: 1
     170: q+1
     171: q+1
     172: q+1
     174: 1
     175: 1
     176: q+1
     178: 1
     179: 1
     180: q+1
     182: q+1
     183: 1
     185: 1
     186: 1
     188: 1
     190: q+1
     192: 1
     194: 1
     200: q+1
     202: 1
     204: 1
     206: 1
     208: 1
     210: q+1
     216: q+1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     223: 1
     225: 1
     226: 1
     228: 1
     229: 1
     231: 1
     232: q+1
     234: 1
     238: 1
     240: 1
     243: 1
     244: q+1
     248: 1
     249: 1
     250: q+1
     252: 1
     253: 1
     254: q+1
     256: 1
     257: 1
     262: 1
     264: 1
     266: 1
     268: 1
     270: 1
     280: 1
     282: 1
     286: 1
     288: 1
     290: 1
     292: q+1
     297: 1
     298: 1
     301: q+1
     311: 1
     314: 1
     315: 1
     319: 1
     320: 1
     321: 1
     325: 1
     327: 1
     333: 1
     335: 1
     338: 1
     342: 1
     343: 1
     348: 1
     352: 1
     354: 1
     356: 1
     380: 1
     382: 1
     394: 1
     405: 1
     409: 1
     413: 1
     415: 1
     423: 1
     428: 1
     432: 1
     446: 1
     476: 1
     489: 1
     499: 1
     525: 1
     587: 1

588:   0: q^3+3q^2+3q+1
       1: q^2+2q+1
       2: q^3+3q^2+3q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: q^2+2q+1
       6: q+1
       7: q+1
       8: q^2+2q+1
       9: q+1
      10: q+1
      11: q+1
      12: q^3+2q^2+2q+1
      13: q+1
      15: q^2+2q+1
      16: q+1
      17: q+1
      18: q+1
      19: q^2+2q+1
      20: q+1
      21: q+1
      23: q^3+3q^2+3q+1
      24: q^2+2q+1
      25: q+1
      26: q+1
      27: q^2+2q+1
      28: q+1
      29: q+1
      30: q^2+2q+1
      31: q^2+2q+1
      32: q+1
      33: q^2+2q+1
      34: q+1
      35: q^2+2q+1
      36: q+1
      37: q^2+2q+1
      38: q+1
      39: q+1
      40: q+1
      41: q+1
      42: q+1
      43: q+1
      44: q^2+2q+1
      45: q+1
      46: q+1
      47: q^2+2q+1
      49: q^2+2q+1
      51: q+1
      53: q^2+2q+1
      55: q+1
      56: q^2+2q+1
      57: q+1
      58: q+1
      60: q^2+2q+1
      61: q+1
      62: q+1
      64: q^2+2q+1
      65: q+1
      66: q^2+2q+1
      67: q+1
      68: q+1
      69: 1
      70: q^2+2q+1
      71: 1
      72: q+1
      73: 1
      74: q^2+2q+1
      75: 1
      77: q+1
      79: q+1
      81: q^2+2q+1
      83: q+1
      84: q+1
      85: q+1
      86: q+1
      87: q+1
      89: q+1
      91: 1
      93: q^2+2q+1
      95: 1
      96: q+1
      97: q+1
      98: 1
      99: 1
     100: q+1
     101: q+1
     102: 1
     103: 1
     104: q^2+2q+1
     105: q+1
     106: q+1
     108: q+1
     109: q+1
     110: q+1
     112: q+1
     113: 1
     114: q^2+2q+1
     115: 1
     116: q+1
     117: 1
     118: q^2+2q+1
     119: 1
     120: q+1
     121: 1
     123: 1
     125: q+1
     127: 1
     129: 1
     131: q+1
     133: q+1
     135: q+1
     137: q+1
     139: 1
     141: q^2+2q+1
     143: 1
     145: q+1
     146: 1
     147: 1
     148: q+1
     149: 1
     150: 1
     152: 1
     153: q+1
     154: q+1
     155: 1
     156: 1
     157: 1
     158: q+1
     160: 1
     161: 1
     163: q+1
     165: 1
     169: 1
     170: q+1
     171: q+1
     172: q+1
     174: 1
     175: 1
     176: q+1
     178: 1
     179: 1
     180: q+1
     182: q+1
     183: 1
     185: 1
     187: 1
     189: 1
     191: q+1
     193: 1
     195: 1
     201: q+1
     203: 1
     205: 1
     207: 1
     209: 1
     211: q+1
     216: q+1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     223: 1
     225: 1
     226: 1
     228: 1
     229: 1
     231: 1
     233: q+1
     235: 1
     239: 1
     240: 1
     243: 1
     244: q+1
     248: 1
     249: 1
     250: q+1
     252: 1
     253: 1
     254: q+1
     256: 1
     257: 1
     263: 1
     265: 1
     267: 1
     269: 1
     271: 1
     281: 1
     283: 1
     287: 1
     289: 1
     291: 1
     293: q+1
     297: 1
     298: 1
     302: q+1
     311: 1
     314: 1
     315: 1
     319: 1
     320: 1
     321: 1
     326: 1
     328: 1
     333: 1
     335: 1
     338: 1
     342: 1
     343: 1
     349: 1
     353: 1
     355: 1
     357: 1
     381: 1
     383: 1
     395: 1
     405: 1
     409: 1
     414: 1
     416: 1
     423: 1
     428: 1
     432: 1
     447: 1
     477: 1
     490: 1
     500: 1
     525: 1
     588: 1

589:   0: q+1
       1: 1
       2: q+1
       3: q^2+2q+1
       4: q+1
       5: 1
       6: q+1
       7: 1
       8: q+1
       9: q+1
      10: 1
      11: q+1
      13: q+1
      15: 1
      16: q+1
      17: 1
      18: q+1
      19: 1
      20: q+1
      21: 1
      23: q+1
      24: q+1
      25: q+1
      26: q+1
      27: q+1
      28: 1
      29: 1
      31: q+1
      32: 1
      33: q+1
      34: 1
      35: q+1
      36: 1
      37: q+1
      38: 1
      39: q+1
      40: 1
      41: 1
      42: 1
      43: 1
      44: q+1
      45: 1
      46: 1
      47: q+1
      48: q+1
      50: 1
      52: q+1
      54: 1
      56: 1
      57: q+1
      58: 1
      60: 1
      61: 1
      62: q+1
      64: q+1
      65: 1
      67: 1
      68: q+1
      69: 1
      71: 1
      72: q+1
      73: 1
      75: 1
      76: 1
      78: 1
      80: q+1
      83: 1
      84: 1
      85: 1
      88: q+1
      90: 1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: q+1
     108: 1
     109: 1
     112: q+1
     113: 1
     115: 1
     116: q+1
     117: 1
     119: 1
     120: q+1
     121: 1
     123: 1
     126: 1
     128: 1
     130: 1
     132: 1
     135: 1
     136: q+1
     138: 1
     142: 1
     145: 1
     148: 1
     149: 1
     150: 1
     152: 1
     154: 1
     155: 1
     156: 1
     157: 1
     160: 1
     161: 1
     162: q+1
     164: 1
     168: 1
     170: 1
     171: 1
     174: 1
     175: 1
     178: 1
     179: 1
     182: q+1
     183: 1
     185: 1
     186: 1
     188: 1
     194: 1
     200: 1
     202: 1
     204: 1
     206: 1
     208: 1
     216: 1
     221: 1
     223: 1
     226: 1
     228: 1
     231: 1
     232: q+1
     234: 1
     238: 1
     240: 1
     243: 1
     245: 1
     247: 1
     248: 1
     249: 1
     252: 1
     253: 1
     256: 1
     257: 1
     262: 1
     264: 1
     280: 1
     282: 1
     286: 1
     288: 1
     290: 1
     300: 1
     303: 1
     307: 1
     311: 1
     319: 1
     325: 1
     327: 1
     333: 1
     335: 1
     339: 1
     342: 1
     343: 1
     348: 1
     360: 1
     380: 1
     382: 1
     396: 1
     413: 1
     415: 1
     423: 1
     429: 1
     433: 1
     476: 1
     491: 1
     501: 1
     526: 1
     589: 1

590:   0: q+1
       1: 1
       2: q+1
       3: q^2+2q+1
       4: q+1
       5: 1
       6: q+1
       7: 1
       8: q+1
       9: q+1
      10: 1
      11: q+1
      13: q+1
      15: 1
      16: q+1
      17: 1
      18: q+1
      19: 1
      20: q+1
      21: 1
      23: q+1
      24: q+1
      25: q+1
      26: q+1
      27: q+1
      28: 1
      29: 1
      31: q+1
      32: 1
      33: q+1
      34: 1
      35: q+1
      36: 1
      37: q+1
      38: 1
      39: q+1
      40: 1
      41: 1
      42: 1
      43: 1
      44: q+1
      45: 1
      46: 1
      47: q+1
      49: q+1
      51: 1
      53: q+1
      55: 1
      56: 1
      57: q+1
      58: 1
      60: 1
      61: 1
      62: q+1
      64: q+1
      65: 1
      67: 1
      68: q+1
      69: 1
      71: 1
      72: q+1
      73: 1
      75: 1
      77: 1
      79: 1
      81: q+1
      83: 1
      84: 1
      85: 1
      89: q+1
      91: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: q+1
     108: 1
     109: 1
     112: q+1
     113: 1
     115: 1
     116: q+1
     117: 1
     119: 1
     120: q+1
     121: 1
     123: 1
     127: 1
     129: 1
     131: 1
     133: 1
     135: 1
     137: q+1
     139: 1
     143: 1
     145: 1
     148: 1
     149: 1
     150: 1
     152: 1
     154: 1
     155: 1
     156: 1
     157: 1
     160: 1
     161: 1
     163: q+1
     165: 1
     169: 1
     170: 1
     171: 1
     174: 1
     175: 1
     178: 1
     179: 1
     182: q+1
     183: 1
     185: 1
     187: 1
     189: 1
     195: 1
     201: 1
     203: 1
     205: 1
     207: 1
     209: 1
     216: 1
     221: 1
     223: 1
     226: 1
     228: 1
     231: 1
     233: q+1
     235: 1
     239: 1
     240: 1
     243: 1
     245: 1
     247: 1
     248: 1
     249: 1
     252: 1
     253: 1
     256: 1
     257: 1
     263: 1
     265: 1
     281: 1
     283: 1
     287: 1
     289: 1
     291: 1
     300: 1
     304: 1
     308: 1
     311: 1
     319: 1
     326: 1
     328: 1
     333: 1
     335: 1
     339: 1
     342: 1
     343: 1
     349: 1
     361: 1
     381: 1
     383: 1
     397: 1
     414: 1
     416: 1
     423: 1
     429: 1
     433: 1
     477: 1
     492: 1
     502: 1
     526: 1
     590: 1

591:   0: q+1
       1: 1
       2: q+1
       3: q+1
       4: q^3+2q^2+2q+1
       5: 1
       6: 1
       7: q^2+q+1
       8: q^3+2q^2+2q+1
       9: 1
      10: q^2+q+1
      11: 1
      12: q^3+2q^2+2q+1
      13: 1
      15: 1
      16: 1
      17: q^2+q+1
      18: 1
      19: 1
      20: 1
      21: q^2+q+1
      23: q+1
      24: q^3+2q^2+2q+1
      25: 1
      26: 1
      27: q+1
      28: 1
      29: 1
      30: q^3+2q^2+2q+1
      31: q+1
      32: 1
      33: q+1
      34: 1
      35: q+1
      36: 1
      37: q+1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: q+1
      45: 1
      46: 1
      47: q+1
      48: q+1
      50: 1
      52: q+1
      54: 1
      56: 1
      57: 1
      58: q^2+q+1
      60: 1
      61: q^2+q+1
      62: 1
      64: q+1
      65: 1
      66: q^3+2q^2+2q+1
      67: 1
      68: q+1
      69: 1
      70: q+1
      71: 1
      72: q+1
      73: 1
      74: q+1
      75: 1
      76: 1
      78: 1
      80: q+1
      83: 1
      84: 1
      85: 1
      86: q+1
      87: q+1
      88: q+1
      90: 1
      92: q+1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: q^2+q+1
     106: 1
     108: 1
     109: 1
     110: q^2+q+1
     112: q+1
     113: 1
     114: q+1
     115: 1
     116: q+1
     117: 1
     118: q+1
     119: 1
     122: q+1
     124: q+1
     126: 1
     128: 1
     130: 1
     132: 1
     135: 1
     136: q+1
     138: 1
     140: q+1
     142: 1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     152: 1
     153: q+1
     154: 1
     155: 1
     156: 1
     157: 1
     158: q+1
     166: q+1
     170: 1
     171: 1
     172: q^2+q+1
     174: 1
     175: 1
     176: 1
     178: 1
     179: 1
     180: 1
     184: q+1
     186: 1
     188: 1
     190: q+1
     192: 1
     194: 1
     200: 1
     206: 1
     208: 1
     210: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     223: 1
     225: 1
     226: 1
     228: 1
     229: 1
     236: q+1
     246: q+1
     248: 1
     249: 1
     250: 1
     252: 1
     253: 1
     254: 1
     258: 1
     262: 1
     264: 1
     266: 1
     268: 1
     270: 1
     288: 1
     290: 1
     292: 1
     297: 1
     298: 1
     305: q+1
     311: 1
     314: 1
     315: 1
     319: 1
     320: 1
     321: 1
     329: 1
     340: 1
     344: 1
     348: 1
     352: 1
     354: 1
     356: 1
     398: 1
     405: 1
     409: 1
     417: 1
     430: 1
     434: 1
     446: 1
     493: 1
     503: 1
     527: 1
     591: 1

592:   0: q+1
       1: 1
       2: q+1
       3: q+1
       4: q^3+2q^2+2q+1
       5: 1
       6: 1
       7: q^2+q+1
       8: q^3+2q^2+2q+1
       9: 1
      10: q^2+q+1
      11: 1
      12: q^3+2q^2+2q+1
      13: 1
      15: 1
      16: 1
      17: q^2+q+1
      18: 1
      19: 1
      20: 1
      21: q^2+q+1
      23: q+1
      24: q^3+2q^2+2q+1
      25: 1
      26: 1
      27: q+1
      28: 1
      29: 1
      30: q^3+2q^2+2q+1
      31: q+1
      32: 1
      33: q+1
      34: 1
      35: q+1
      36: 1
      37: q+1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: q+1
      45: 1
      46: 1
      47: q+1
      49: q+1
      51: 1
      53: q+1
      55: 1
      56: 1
      57: 1
      58: q^2+q+1
      60: 1
      61: q^2+q+1
      62: 1
      64: q+1
      65: 1
      66: q^3+2q^2+2q+1
      67: 1
      68: q+1
      69: 1
      70: q+1
      71: 1
      72: q+1
      73: 1
      74: q+1
      75: 1
      77: 1
      79: 1
      81: q+1
      83: 1
      84: 1
      85: 1
      86: q+1
      87: q+1
      89: q+1
      91: 1
      93: q+1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: q^2+q+1
     106: 1
     108: 1
     109: 1
     110: q^2+q+1
     112: q+1
     113: 1
     114: q+1
     115: 1
     116: q+1
     117: 1
     118: q+1
     119: 1
     122: q+1
     125: q+1
     127: 1
     129: 1
     131: 1
     133: 1
     135: 1
     137: q+1
     139: 1
     141: q+1
     143: 1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     152: 1
     153: q+1
     154: 1
     155: 1
     156: 1
     157: 1
     158: q+1
     167: q+1
     170: 1
     171: 1
     172: q^2+q+1
     174: 1
     175: 1
     176: 1
     178: 1
     179: 1
     180: 1
     184: q+1
     187: 1
     189: 1
     191: q+1
     193: 1
     195: 1
     201: 1
     207: 1
     209: 1
     211: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     223: 1
     225: 1
     226: 1
     228: 1
     229: 1
     237: q+1
     246: q+1
     248: 1
     249: 1
     250: 1
     252: 1
     253: 1
     254: 1
     258: 1
     263: 1
     265: 1
     267: 1
     269: 1
     271: 1
     289: 1
     291: 1
     293: 1
     297: 1
     298: 1
     306: q+1
     311: 1
     314: 1
     315: 1
     319: 1
     320: 1
     321: 1
     330: 1
     340: 1
     344: 1
     349: 1
     353: 1
     355: 1
     357: 1
     399: 1
     405: 1
     409: 1
     418: 1
     430: 1
     434: 1
     447: 1
     494: 1
     504: 1
     527: 1
     592: 1

593:   1: 1
       5: 1
       6: 1
       7: 1
       9: 1
      10: 1
      11: 1
      13: 1
      14: q+1
      15: 1
      16: 1
      17: 1
      18: 1
      22: 1
      25: 1
      26: 1
      28: 1
      29: 1
      32: 1
      34: 1
      36: 1
      38: 1
      39: 1
      40: 1
      42: 1
      45: 1
      50: 1
      54: 1
      59: 1
      63: 1
      65: 1
      67: 1
      69: 1
      71: 1
      73: 1
      75: 1
      76: 1
      85: 1
      90: 1
      94: 1
      98: 1
     102: 1
     107: 1
     111: 1
     113: 1
     115: 1
     117: 1
     119: 1
     121: 1
     123: 1
     126: 1
     138: 1
     142: 1
     150: 1
     156: 1
     160: 1
     164: 1
     168: 1
     173: 1
     177: 1
     181: 1
     183: 1
     185: 1
     188: 1
     202: 1
     212: 1
     234: 1
     238: 1
     240: 1
     245: 1
     247: 1
     251: 1
     255: 1
     259: 1
     282: 1
     294: 1
     300: 1
     303: 1
     307: 1
     331: 1
     341: 1
     345: 1
     360: 1
     400: 1
     419: 1
     431: 1
     435: 1
     495: 1
     505: 1
     528: 1
     593: 1

594:   1: 1
       5: 1
       6: 1
       7: 1
       9: 1
      10: 1
      11: 1
      13: 1
      14: q+1
      15: 1
      16: 1
      17: 1
      18: 1
      22: 1
      25: 1
      26: 1
      28: 1
      29: 1
      32: 1
      34: 1
      36: 1
      38: 1
      39: 1
      40: 1
      42: 1
      45: 1
      51: 1
      55: 1
      59: 1
      63: 1
      65: 1
      67: 1
      69: 1
      71: 1
      73: 1
      75: 1
      77: 1
      85: 1
      91: 1
      95: 1
      98: 1
     102: 1
     107: 1
     111: 1
     113: 1
     115: 1
     117: 1
     119: 1
     121: 1
     123: 1
     127: 1
     139: 1
     143: 1
     150: 1
     156: 1
     160: 1
     165: 1
     169: 1
     173: 1
     177: 1
     181: 1
     183: 1
     185: 1
     189: 1
     203: 1
     213: 1
     235: 1
     239: 1
     240: 1
     245: 1
     247: 1
     251: 1
     255: 1
     259: 1
     283: 1
     295: 1
     300: 1
     304: 1
     308: 1
     332: 1
     341: 1
     345: 1
     361: 1
     401: 1
     420: 1
     431: 1
     435: 1
     496: 1
     506: 1
     528: 1
     594: 1

595:   0: 2
       1: 2q+2
       2: 2
       3: 2q+2
       4: 2
       5: 2q+2
       6: q^2+2q+2
       7: 2q+2
       8: 2
       9: q^2+2q+2
      10: 2q+2
      11: q^2+2q+2
      13: q^2+2q+2
      14: q^3+2q^2+2q+1
      15: 2q+2
      16: q^2+2q+2
      17: 2q+2
      18: q^2+2q+2
      19: 2
      20: q+2
      21: 2
      22: q^2+2q+1
      23: 2
      24: 2
      25: q^2+2q+2
      26: q^2+2q+2
      27: 2
      28: q+2
      29: q+2
      31: 2
      32: 2q+2
      33: 2
      34: 2q+2
      35: 2
      36: 2q+2
      37: 2
      38: 2q+2
      39: q^2+2q+2
      40: q+2
      41: 2
      42: 2q+2
      43: 2
      44: 2
      45: 2q+2
      46: 2
      47: 2
      48: 1
      49: 1
      50: q+1
      51: q+1
      52: 1
      53: 1
      54: q+1
      55: q+1
      56: 2
      57: q+2
      58: 2
      59: q^2+2q+1
      60: 2
      61: 2
      62: q+2
      63: q^2+2q+1
      64: 2
      65: q+2
      67: q+2
      68: 2
      69: q+2
      71: q+2
      72: 2
      73: q+2
      75: q+2
      76: q+1
      77: q+1
      78: 1
      79: 1
      80: 1
      81: 1
      82: q+1
      83: 2
      84: 2
      85: q+2
      88: 1
      89: 1
      90: 1
      91: 1
      94: 1
      95: 1
      96: 2
      97: 2
      98: q+2
      99: 2
     100: 2
     101: 2
     102: q+2
     103: 2
     104: 2
     105: 2
     106: q+2
     107: q^2+2q+1
     108: 1
     109: 1
     111: q+1
     112: 2
     113: q+2
     115: q+2
     116: 2
     117: q+2
     119: q+2
     120: 2
     121: q+2
     123: q+2
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 1
     134: q+1
     135: 2
     136: 1
     137: 1
     138: 1
     139: 1
     142: 1
     143: 1
     144: 1
     145: 1
     148: 2
     149: 2
     150: q+2
     152: 2
     154: 2
     155: 2
     156: q+2
     157: 2
     160: q+2
     161: 2
     162: 1
     163: 1
     164: 1
     165: 1
     168: 1
     169: 1
     170: 1
     171: 1
     173: q+1
     174: 1
     175: 1
     177: q+1
     178: 1
     179: 1
     181: q+1
     182: 2
     183: q+2
     185: q+2
     186: 1
     187: 1
     188: 1
     189: 1
     194: 1
     195: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     214: 1
     215: 1
     216: 1
     221: 2
     222: 1
     223: 1
     226: 2
     227: 1
     228: 1
     231: 2
     232: 1
     233: 1
     234: 1
     235: 1
     238: 1
     239: 1
     240: q+2
     243: 2
     245: 2
     247: 2
     248: 1
     249: 1
     251: q+1
     252: 1
     253: 1
     255: q+1
     256: 1
     257: 1
     259: q+1
     264: 1
     265: 1
     280: 1
     281: 1
     282: 1
     283: 1
     286: 1
     287: 1
     296: 1
     300: 2
     303: 1
     304: 1
     307: 1
     308: 1
     309: 1
     310: 1
     311: 1
     317: 1
     318: 1
     319: 1
     333: 2
     334: 1
     335: 1
     339: 1
     341: 1
     342: 1
     343: 1
     345: q+1
     360: 1
     361: 1
     382: 1
     383: 1
     393: 1
     403: 1
     408: 1
     421: 1
     422: 1
     423: 1
     429: 1
     431: 1
     433: 1
     435: 1
     488: 1
     507: 1
     521: 1
     526: 1
     528: 1
     595: 1

596:   0: 2q+2
       1: q^3+2q^2+q+2
       2: 2q+2
       3: 2q+2
       4: 2
       5: 4q^2+2
       6: q^3+2q^2+q+2
       7: 2q^2+2
       8: 2
       9: 4q^2+2
      10: 2q^3+4q^2+2
      11: q^3+2q^2+q+2
      12: 2
      13: 4q^2+2
      14: q^3+2q^2+1
      15: 2q^2+2
      16: 2q^2+2
      17: 2q^2+2
      18: 2q^2+2
      19: q+2
      20: q+2
      21: 2
      22: 2q^2+1
      23: 2q+2
      24: 2
      25: q^3+2q^2+q+2
      26: 4q^2+2
      27: 2q+2
      28: q^3+2q^2+q+2
      29: 4q^2+2
      30: 2
      31: 2
      32: q^2+2
      33: 2
      34: 3q^2+2
      35: 2
      36: q^2+2
      37: 2
      38: 3q^2+2
      39: 2q^2+2
      40: 2q^2+2
      41: q+2
      42: q^2+2
      43: 2
      44: 2
      45: q^2+2
      46: 2
      47: 2
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: q^2+1
      55: q^2+1
      56: 2
      57: 2
      58: 2
      59: q^2+1
      60: q+2
      61: 2
      62: q+2
      63: 2q^2+1
      64: 2q+2
      65: q^3+2q^2+q+2
      66: 2
      67: 4q^2+2
      68: 2
      69: q^2+2
      70: 2
      71: 3q^2+2
      72: 2
      73: q^2+2
      74: 2
      75: 3q^2+2
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: 1
      82: 1
      83: q+2
      84: 2
      85: 2q^2+2
      86: 2
      87: 2
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 1
      94: q^2+1
      95: q^2+1
      96: 2
      97: 2
      98: q^2+2
      99: 2
     100: 2
     101: 2
     102: q^2+2
     103: 2
     104: 2
     105: 2
     106: 2
     107: q^2+1
     108: q+2
     109: q+2
     110: 2
     111: 2q^2+1
     112: 2
     113: q^2+2
     114: 2
     115: 3q^2+2
     116: 2
     117: q^2+2
     118: 2
     119: 3q^2+2
     120: 2
     121: 2
     123: 2
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 1
     134: 1
     135: 2
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     142: q^2+1
     143: q^2+1
     144: 1
     145: q+2
     146: 2
     147: 2
     148: 2
     149: 2
     150: q^2+2
     152: 2
     153: 2
     154: 2
     155: 2
     156: q^2+2
     157: 2
     158: 2
     160: 2
     161: 2
     162: 1
     163: 1
     164: 1
     165: 1
     168: 1
     169: 1
     170: 2
     171: 2
     172: 2
     173: q^2+1
     174: 1
     175: 1
     176: 1
     177: q^2+1
     178: 1
     179: 1
     180: 1
     181: q^2+1
     182: 2
     183: 2
     185: 2
     186: 1
     187: 1
     188: 1
     189: 1
     190: 1
     191: 1
     192: 1
     193: 1
     194: 1
     195: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     214: 1
     215: 1
     216: 2
     217: 2
     218: 2
     219: 2
     220: 2
     221: 2
     222: 1
     223: 1
     225: 1
     226: 2
     227: 1
     228: 1
     229: 1
     231: 2
     232: 1
     233: 1
     234: 1
     235: 1
     238: 1
     239: 1
     240: 2
     243: 2
     244: 2
     245: 2
     247: 2
     256: 1
     257: 1
     259: 1
     264: 1
     265: 1
     268: 1
     269: 1
     270: 1
     271: 1
     280: 1
     281: 1
     282: 1
     283: 1
     286: 1
     287: 1
     296: 1
     297: 2
     298: 2
     299: 2
     300: 2
     301: 1
     302: 1
     303: 1
     304: 1
     307: 1
     308: 1
     309: 1
     315: 1
     317: 1
     321: 1
     333: 2
     334: 1
     335: 1
     338: 1
     339: 1
     341: 1
     356: 1
     357: 1
     358: 1
     359: 1
     360: 1
     361: 1
     382: 1
     383: 1
     390: 1
     391: 1
     392: 2
     393: 1
     402: 1
     421: 1
     428: 1
     429: 1
     431: 1
     450: 1
     451: 1
     488: 1
     497: 1
     498: 1
     596: 1

597:   0: 2q^2+4q+2
       1: 2q^2+q+2
       2: 2q^2+4q+2
       3: 2q^2+4q+2
       4: 2q+2
       5: 2q^2+q+2
       6: 2q^2+q+2
       7: 2q^2+2
       8: 2q+2
       9: 2q^2+q+2
      10: 2q^2+2
      11: 2q^2+q+2
      12: 2q+2
      13: 2q^2+q+2
      15: 2q^2+q+2
      16: 2q^2+q+2
      17: 2q^2+2
      18: 2q^2+q+2
      19: q+2
      20: q+2
      21: 2
      23: 2q^2+4q+2
      24: 2q+2
      25: 2q^2+q+2
      26: 2q^2+q+2
      27: 2q^2+4q+2
      28: 2q^2+q+2
      29: 2q^2+q+2
      30: 2q+2
      31: 2q+2
      32: q^2+2
      33: 2q+2
      34: q^2+2
      35: 2q+2
      36: q^2+2
      37: 2q+2
      38: q^2+2
      39: 2q^2+q+2
      40: 2q^2+q+2
      41: q+2
      42: q^2+2
      43: 2
      44: 2q+2
      45: q^2+2
      46: 2
      47: 2q+2
      48: q+1
      49: q+1
      50: 1
      51: 1
      52: q+1
      53: q+1
      54: 1
      55: 1
      56: q+2
      57: q+2
      58: 2
      60: q+2
      61: 2
      62: q+2
      64: 2q^2+4q+2
      65: 2q^2+q+2
      66: 2q+2
      67: 2q^2+q+2
      68: 2q+2
      69: q^2+2
      70: 2q+2
      71: q^2+2
      72: 2q+2
      73: q^2+2
      74: 2q+2
      75: q^2+2
      76: 1
      77: 1
      78: 1
      79: 1
      80: q+1
      81: q+1
      83: q+2
      84: q+2
      85: 2q^2+q+2
      86: 2q+2
      87: 2q+2
      88: q+1
      89: q+1
      90: 1
      91: 1
      92: q+1
      93: q+1
      94: 1
      95: 1
      96: 2
      97: 2
      98: q^2+2
      99: 2
     100: 2
     101: 2
     102: q^2+2
     103: 2
     104: q+2
     105: 2
     106: q+2
     108: q+2
     109: q+2
     110: 2
     112: 2q+2
     113: q^2+2
     114: 2q+2
     115: q^2+2
     116: 2q+2
     117: q^2+2
     118: 2q+2
     119: q^2+2
     120: 2q+2
     121: 2
     123: 2
     124: q+1
     125: q+1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 1
     135: q+2
     136: q+1
     137: q+1
     138: 1
     139: 1
     140: q+1
     141: q+1
     142: 1
     143: 1
     145: q+2
     146: 2
     147: 2
     148: 2
     149: 2
     150: q^2+2
     152: 2
     153: 2q+2
     154: 2
     155: 2
     156: q^2+2
     157: 2
     158: 2q+2
     160: 2
     161: 2
     162: q+1
     163: q+1
     164: 1
     165: 1
     168: 1
     169: 1
     170: q+2
     171: q+2
     172: 2
     174: 1
     175: 1
     176: 1
     178: 1
     179: 1
     180: 1
     182: 2q+2
     183: 2
     185: 2
     186: 1
     187: 1
     188: 1
     189: 1
     190: q+1
     191: q+1
     192: 1
     193: 1
     194: 1
     195: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     216: q+2
     217: 2
     218: 2
     219: 2
     220: 2
     221: 2
     223: 1
     225: 1
     226: 2
     228: 1
     229: 1
     231: 2
     232: q+1
     233: q+1
     234: 1
     235: 1
     238: 1
     239: 1
     240: 2
     243: 2
     244: 2q+2
     245: 2
     247: 2
     248: 1
     249: 1
     250: 1
     252: 1
     253: 1
     254: 1
     256: 1
     257: 1
     264: 1
     265: 1
     268: 1
     269: 1
     270: 1
     271: 1
     280: 1
     281: 1
     282: 1
     283: 1
     286: 1
     287: 1
     297: 2
     298: 2
     299: 2
     300: 2
     301: q+1
     302: q+1
     303: 1
     304: 1
     307: 1
     308: 1
     311: 1
     314: 1
     315: 1
     319: 1
     320: 1
     321: 1
     333: 2
     335: 1
     338: 1
     339: 1
     342: 1
     343: 1
     356: 1
     357: 1
     358: 1
     359: 1
     360: 1
     361: 1
     382: 1
     383: 1
     392: 2
     402: 1
     405: 1
     409: 1
     423: 1
     428: 1
     429: 1
     432: 1
     433: 1
     450: 1
     451: 1
     497: 1
     508: 1
     525: 1
     526: 1
     597: 1

598:   0: 3q+2
       1: 3q+2
       2: 2q+2
       3: 3q+2
       4: 2q+2
       5: 3q+2
       6: 3q+2
       7: 2q+2
       8: 2
       9: 3q+2
      10: 2q+2
      11: 2q^2+3q+1
      12: 2
      13: 2q^2+3q+1
      14: 2q^2+3q+1
      15: 3q+2
      16: 3q+2
      17: 2q+2
      18: 2q^2+3q+1
      19: 3q+2
      20: 3q+2
      21: 2q+2
      22: 2q^2+3q+1
      23: q+2
      24: 2
      25: 3q+1
      26: 3q+1
      27: 3q+2
      28: 3q+2
      29: 3q+2
      30: 2
      31: q+2
      32: q+2
      33: 2
      34: q+2
      35: q+2
      36: q+2
      37: 2
      38: q+2
      39: 3q+1
      40: 3q+2
      41: 3q+2
      42: q+2
      43: q+2
      44: 2
      45: q+2
      46: q+2
      47: 2
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 3q+2
      57: 3q+2
      58: 2q+2
      59: 2q^2+3q+1
      60: q+2
      61: 2
      62: 3q+1
      63: 3q+1
      64: q+2
      65: 3q+1
      66: 2
      67: 3q+1
      68: q+2
      69: q+2
      70: 2
      71: q+2
      72: q+2
      73: q+2
      74: 2
      75: q+2
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: 1
      82: 3q+1
      83: q+1
      84: 3q+2
      85: 3q+1
      86: 2
      87: 2
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: q+2
      97: 2
      98: q+2
      99: q+2
     100: q+2
     101: 2
     102: q+2
     103: q+2
     104: q+2
     105: 2
     106: 3q+1
     107: 3q+1
     108: q+2
     109: 3q+1
     110: 2
     111: 3q+1
     112: 1
     113: q+1
     114: 1
     115: q+1
     116: 1
     117: q+1
     118: 1
     119: q+1
     120: 2
     121: 2
     123: 2
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 1
     134: 3q+1
     135: q+1
     144: 3q+1
     145: q+1
     146: 2
     147: 2
     148: 2
     149: 1
     150: q+1
     152: q+2
     153: 1
     154: 2
     155: 1
     156: q+1
     157: q+2
     158: 1
     160: 2
     161: 2
     162: 1
     163: 1
     164: 1
     165: 1
     168: 1
     169: 1
     170: q+2
     171: 3q+1
     172: 2
     173: 3q+1
     174: 1
     175: q+1
     176: 1
     177: q+1
     178: 1
     179: q+1
     180: 1
     181: q+1
     182: 1
     183: 1
     185: 1
     192: 1
     193: 1
     194: 1
     195: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     214: q+1
     215: 3q+1
     216: q+1
     217: 2
     218: 1
     219: 2
     220: 1
     221: 1
     222: q+1
     223: 1
     225: 1
     226: 1
     227: q+1
     228: 1
     229: 1
     231: 1
     240: 1
     243: 2
     244: 1
     245: 1
     247: 1
     248: 1
     249: q+1
     250: 1
     251: q+1
     252: 1
     253: q+1
     254: 1
     255: q+1
     256: 1
     257: 1
     259: 1
     270: 1
     271: 1
     286: 1
     287: 1
     296: q+1
     297: 1
     298: 1
     299: 1
     300: 1
     309: 1
     310: q+1
     311: 1
     314: 1
     315: 1
     317: 1
     318: q+1
     319: 1
     320: 1
     321: 1
     333: 1
     334: 1
     335: 1
     338: 1
     339: 1
     341: 1
     342: 1
     343: 1
     345: 1
     390: 1
     391: 1
     392: 1
     393: 1
     402: 1
     403: 1
     405: 1
     408: 1
     409: 1
     421: 1
     422: 1
     423: 1
     432: 1
     433: 1
     435: 1
     498: 1
     507: 1
     508: 1
     511: 1
     516: 1
     521: 1
     598: 1

599:   0: q^2+6q+2
       1: q^2+3q+2
       2: q^2+6q+2
       3: q^2+3q+2
       4: q^2+6q+2
       5: q^2+3q+2
       6: q+2
       7: q^2+3q+2
       8: q^2+6q+2
       9: q+2
      10: q^2+3q+2
      11: q+2
      12: q^3+4q^2+5q+2
      13: q+2
      15: q^2+3q+2
      16: q+2
      17: q^2+3q+2
      18: q+2
      19: 3q+2
      20: q+2
      21: 3q+2
      23: q^2+6q+2
      24: q^2+6q+2
      25: q+2
      26: q+2
      27: 3q+2
      28: q+2
      29: q+2
      30: q^2+5q+2
      31: q^2+6q+2
      32: q^2+3q+2
      33: q^2+6q+2
      34: q^2+3q+2
      35: 4q+2
      36: 2q+2
      37: 4q+2
      38: 2q+2
      39: q+2
      40: q+2
      41: q+2
      42: q^2+3q+2
      43: 3q+2
      44: q^2+6q+2
      45: 2q+2
      46: 2q+2
      47: 4q+2
      48: 2q+1
      49: 2q+1
      50: q+1
      51: q+1
      52: 2q+1
      53: 2q+1
      54: q+1
      55: q+1
      56: 3q+2
      57: q+2
      58: 3q+2
      60: 3q+2
      61: 3q+2
      62: q+2
      64: 3q+2
      65: q+2
      66: q^2+5q+2
      67: q+2
      68: 3q+2
      69: q+2
      70: q^2+5q+2
      71: q+2
      72: q+2
      73: 2
      74: 3q+2
      75: 2
      76: q+1
      77: q+1
      78: q+1
      79: q+1
      80: 2q+1
      81: 2q+1
      83: q+2
      84: q+2
      85: q+2
      86: q+2
      87: 2q+2
      88: 1
      89: 1
      90: 1
      91: 1
      92: q+1
      93: q+1
      94: 1
      95: 1
      96: 3q+2
      97: 3q+2
      98: q+2
      99: q+2
     100: 2q+2
     101: 2q+2
     102: 2
     103: 2
     104: 3q+2
     105: 3q+2
     106: q+2
     108: 2
     109: 2
     110: 2q+2
     112: 3q+2
     113: q+2
     114: q^2+5q+2
     115: q+2
     116: q+2
     117: 2
     118: 3q+2
     119: 2
     120: q+2
     121: 2
     122: 3q+2
     123: 2
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: q+1
     131: q+1
     132: q+1
     133: q+1
     135: q+2
     136: 1
     137: 1
     138: 1
     139: 1
     140: q+1
     141: q+1
     142: 1
     143: 1
     145: 2
     146: 2
     147: 2
     148: 3q+2
     149: q+2
     150: q+2
     151: q+2
     152: q+2
     153: 2q+2
     154: 2q+2
     155: 2
     156: 2
     157: 2
     158: q+2
     160: 2
     161: 2
     162: 1
     163: 1
     164: 1
     165: 1
     166: q+1
     167: q+1
     168: 1
     169: 1
     170: 2
     171: 2
     172: 2q+2
     174: 2
     175: 2
     176: 2q+2
     178: 1
     179: 1
     180: q+1
     182: q+2
     183: 2
     184: 3q+2
     185: 2
     186: 1
     187: 1
     188: 1
     189: 1
     190: 1
     191: 1
     192: 1
     193: 1
     194: 1
     195: 1
     196: 1
     197: 1
     200: q+1
     201: q+1
     202: 1
     203: 1
     204: 1
     205: 1
     216: 2
     217: 2
     218: 2
     219: 2
     220: 2
     221: q+2
     223: 2
     224: 2
     225: 2
     226: 2
     228: 1
     229: 1
     231: 2
     232: 1
     233: 1
     234: 1
     235: 1
     236: q+1
     237: q+1
     238: 1
     239: 1
     240: 2
     241: q+2
     243: 2
     244: 2
     246: 2
     248: 2
     249: 2
     250: 2q+2
     252: 1
     253: 1
     254: q+1
     256: 1
     257: 1
     258: q+1
     264: 1
     265: 1
     268: 1
     269: 1
     270: 1
     271: 1
     272: 1
     273: 1
     274: 1
     275: 1
     280: 1
     281: 1
     282: 1
     283: 1
     286: 1
     287: 1
     297: 2
     298: 2
     301: 1
     302: 1
     305: 1
     306: 1
     311: 2
     312: 2
     313: 2
     314: 2
     315: 2
     316: 2
     319: 1
     320: 1
     321: 1
     333: 2
     335: 1
     336: 1
     338: 1
     340: 1
     342: 1
     343: 1
     344: q+1
     356: 1
     357: 1
     362: 1
     363: 1
     366: 1
     367: 1
     368: 1
     369: 1
     382: 1
     383: 1
     404: 2
     405: 2
     407: 1
     409: 1
     423: 1
     424: 1
     425: 1
     428: 1
     430: 1
     432: 1
     434: 1
     456: 1
     457: 1
     509: 1
     513: 1
     522: 1
     525: 1
     527: 1
     599: 1

600:   0: 2q+2
       1: q^2+q+2
       2: 2q+2
       3: 2q+2
       4: 2q+2
       6: q^2+q+2
       7: q^2+q+2
       8: 2q+2
      11: q^2+q+2
      12: 2q+2
      19: q+2
      20: q+2
      21: q+2
      23: 2q+2
      24: 2q+2
      25: q^2+q+2
      27: 2q+2
      28: q^2+q+2
      30: 2q+2
      31: 2q+2
      32: q^2+q+2
      33: 2q+2
      35: 2
      36: 2
      37: 2
      41: q+2
      43: q+2
      44: 2q+2
      46: 2
      47: 2
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      60: q+2
      61: q+2
      62: q+2
      64: 2q+2
      65: q^2+q+2
      66: 2q+2
      68: 2q+2
      69: q^2+q+2
      70: 2q+2
      72: 2
      73: 2
      74: 2
      78: 1
      79: 1
      80: 1
      81: 1
      83: q+2
      86: 2
      87: 2q+2
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 1
      97: q+2
      99: q+2
     101: 2
     103: 2
     108: q+2
     109: q+2
     110: q+2
     112: 2q+2
     113: q^2+q+2
     114: 2q+2
     116: 2
     117: 2
     118: 2
     120: 2
     121: 2
     122: 2
     124: 1
     125: 1
     128: 1
     129: 1
     132: 1
     133: 1
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     145: q+2
     146: 2
     147: q+2
     149: q+2
     151: 2
     153: 2q+2
     155: 2
     158: 2
     161: 2
     162: 1
     163: 1
     164: 1
     165: 1
     166: 1
     167: 1
     174: q+2
     175: q+2
     176: q+2
     178: 1
     179: 1
     180: 1
     182: 2
     183: 2
     184: 2
     186: 1
     187: 1
     190: 1
     191: 1
     192: 1
     193: 1
     196: 1
     197: 1
     204: 1
     205: 1
     218: 2
     220: q+2
     223: q+2
     224: 2
     225: q+2
     228: 1
     229: 1
     231: 2
     232: 1
     233: 1
     234: 1
     235: 1
     236: 1
     237: 1
     241: 2
     244: 2
     245: 2
     246: 2
     256: 1
     257: 1
     258: 1
     268: 1
     269: 1
     272: 1
     273: 1
     274: 1
     275: 1
     280: 1
     281: 1
     299: 2
     301: 1
     302: 1
     303: 1
     304: 1
     305: 1
     306: 1
     313: 2
     315: q+2
     316: 2
     321: 1
     335: 1
     336: 1
     338: 1
     339: 1
     340: 1
     358: 1
     359: 1
     362: 1
     363: 1
     368: 1
     369: 1
     402: 1
     406: 2
     407: 1
     425: 1
     428: 1
     429: 1
     430: 1
     460: 1
     461: 1
     497: 1
     509: 1
     514: 1
     600: 1

601:   0: q^2+2q+2
       1: q^2+2q+2
       2: 2q+2
       3: q^2+2q+2
       4: q^2+2q+2
       5: q^3+q+2
       6: q^2+2q+2
       7: q^2+2q+2
       8: 2q+2
       9: q^3+q+2
      10: q^3+q+2
      11: q^3+2q^2+2q+1
      12: 2q+2
      13: q^2+q+1
      14: q^2+q+1
      15: q+2
      16: q+2
      17: q+2
      18: q^2+q+1
      19: q^2+2q+2
      20: q^2+2q+2
      21: q^2+2q+2
      22: q^2+q+1
      23: q+2
      24: q+2
      25: q^2+2q+1
      26: q+1
      27: q^2+2q+2
      28: q^2+2q+2
      29: q^3+q+2
      30: 2q+2
      31: q^2+2q+2
      32: q^2+2q+2
      33: 2q+2
      34: q^3+q+2
      35: 2
      36: 2
      37: 2
      38: 2
      39: q+1
      40: q+2
      41: q^2+2q+2
      42: q+2
      43: q^2+2q+2
      44: q+2
      45: 2
      46: 2
      47: 2
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: q+2
      57: q+2
      58: q+2
      59: q^2+q+1
      60: q+2
      61: q+2
      62: q^2+2q+1
      63: q+1
      64: q+2
      65: q^2+2q+1
      66: q+2
      67: q+1
      68: q^2+2q+2
      69: q^2+2q+2
      70: 2q+2
      71: q^3+q+2
      72: 2
      73: 2
      74: 2
      75: 2
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: 1
      82: q+1
      83: q+1
      84: q+2
      85: q+1
      86: 2
      87: q+2
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: q+2
      97: q+2
      98: q+2
      99: q^2+2q+2
     100: 2
     101: 2
     102: 2
     103: 2
     104: 2
     105: 2
     106: q+1
     107: q+1
     108: q+2
     109: q^2+2q+1
     110: q+2
     111: q+1
     112: q+2
     113: q^2+2q+1
     114: q+2
     115: q+1
     116: 1
     117: 1
     118: 1
     119: 1
     120: 2
     121: 2
     122: 2
     123: 2
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 1
     134: q+1
     135: 1
     144: q+1
     145: q+1
     146: 2
     147: q+2
     148: 2
     149: q+1
     150: q+1
     151: 2
     152: q+2
     153: q+2
     154: 2
     155: 1
     156: 1
     157: 2
     158: 1
     160: 2
     161: 2
     162: 1
     163: 1
     164: 1
     165: 1
     166: 1
     167: 1
     168: 1
     169: 1
     170: 2
     171: q+1
     172: 2
     173: q+1
     174: q+2
     175: q^2+2q+1
     176: q+2
     177: q+1
     178: 1
     179: 1
     180: 1
     181: 1
     182: 1
     183: 1
     184: 1
     185: 1
     192: 1
     193: 1
     194: 1
     195: 1
     196: 1
     197: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     214: 1
     215: q+1
     216: 1
     217: 2
     218: 1
     219: 2
     220: q+1
     221: 1
     222: q+1
     223: q+1
     224: 2
     225: q+2
     226: 1
     227: 1
     228: 1
     229: 1
     231: 1
     240: 1
     241: 1
     243: 2
     244: 1
     245: 1
     246: 1
     247: 1
     248: 2
     249: q+1
     250: 2
     251: q+1
     256: 1
     257: 1
     258: 1
     259: 1
     270: 1
     271: 1
     274: 1
     275: 1
     286: 1
     287: 1
     296: 1
     297: 1
     298: 1
     299: 1
     300: 1
     309: 1
     310: q+1
     311: 1
     312: 2
     313: 1
     314: 2
     315: q+1
     316: 1
     317: 1
     321: 1
     333: 1
     334: 1
     335: 1
     336: 1
     338: 1
     339: 1
     340: 1
     341: 1
     366: 1
     367: 1
     390: 1
     391: 1
     392: 1
     393: 1
     402: 1
     403: 1
     404: 1
     405: 1
     406: 1
     407: 1
     421: 1
     425: 1
     498: 1
     510: 1
     511: 1
     512: 1
     514: 1
     601: 1

602:   0: q^2+3q+2
       1: q+2
       2: q^2+3q+2
       3: q^2+3q+2
       4: q^2+3q+2
       5: q+2
       6: q+2
       7: q+2
       8: q^2+3q+2
       9: q+2
      10: q+2
      11: q^2+q+1
      12: q^2+3q+2
      13: q^2+q+1
      15: q+2
      16: q+2
      17: q+2
      18: q^2+q+1
      19: q+2
      20: q+2
      21: q+2
      23: 2q+2
      24: 2q+2
      25: q+1
      26: q+1
      27: q^2+3q+2
      28: q+2
      29: q+2
      30: q^2+3q+2
      31: q^2+3q+2
      32: q+2
      33: q^2+3q+2
      34: q+2
      35: 2q+2
      36: 2
      37: 2q+2
      38: 2
      39: q+1
      40: q+2
      41: q+2
      42: q+2
      43: q+2
      44: 2q+2
      45: 2
      46: 2
      47: 2q+2
      48: q+1
      49: q+1
      50: 1
      51: 1
      52: q+1
      53: q+1
      54: 1
      55: 1
      56: q+2
      57: q+2
      58: q+2
      60: 2
      61: 2
      62: q+1
      64: 2q+2
      65: q+1
      66: 2q+2
      67: q+1
      68: q^2+3q+2
      69: q+2
      70: q^2+3q+2
      71: q+2
      72: 2q+2
      73: 2
      74: 2q+2
      75: 2
      76: 1
      77: 1
      78: 1
      79: 1
      80: q+1
      81: q+1
      83: 1
      84: q+2
      85: q+1
      86: 2q+2
      87: 2q+2
      88: q+1
      89: q+1
      90: 1
      91: 1
      92: q+1
      93: q+1
      94: 1
      95: 1
      96: q+2
      97: 2
      98: q+2
      99: q+2
     100: 2
     101: 2
     102: 2
     103: 2
     104: 2
     105: 2
     106: q+1
     108: 2
     109: q+1
     110: 2
     112: 2q+2
     113: q+1
     114: 2q+2
     115: q+1
     116: q+1
     117: 1
     118: q+1
     119: 1
     120: 2q+2
     121: 2
     122: 2q+2
     123: 2
     124: q+1
     125: q+1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 1
     135: 1
     145: 1
     146: 2
     147: 2
     148: 2
     149: 1
     150: q+1
     151: 2q+2
     152: q+2
     153: 2q+2
     154: 2
     155: 1
     156: 1
     157: 2
     158: q+1
     160: 2
     161: 2
     162: q+1
     163: q+1
     164: 1
     165: 1
     166: q+1
     167: q+1
     168: 1
     169: 1
     170: 2
     171: q+1
     172: 2
     174: 2
     175: q+1
     176: 2
     178: 1
     179: 1
     180: 1
     182: q+1
     183: 1
     184: q+1
     185: 1
     192: 1
     193: 1
     194: 1
     195: 1
     196: q+1
     197: q+1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     216: 1
     217: 2
     218: 1
     219: 2
     220: 1
     221: 1
     223: 1
     224: 2
     225: 2
     226: 1
     228: 1
     229: 1
     231: 1
     240: 1
     241: q+1
     243: 2
     244: q+1
     245: 1
     246: q+1
     247: 1
     248: 2
     249: q+1
     250: 2
     252: 1
     253: 1
     254: 1
     256: 1
     257: 1
     258: 1
     270: 1
     271: 1
     274: 1
     275: 1
     286: 1
     287: 1
     297: 1
     298: 1
     299: 1
     300: 1
     311: 1
     312: 2
     313: 1
     314: 2
     315: 1
     316: q+1
     319: 1
     320: 1
     321: 1
     333: 1
     335: 1
     336: 1
     338: 1
     339: 1
     340: 1
     342: 1
     343: 1
     344: 1
     366: 1
     367: 1
     392: 1
     402: 1
     404: 1
     405: 1
     406: 1
     407: 1
     409: 1
     423: 1
     424: 1
     425: 1
     432: 1
     433: 1
     434: 1
     508: 1
     512: 1
     513: 1
     514: 1
     522: 1
     602: 1

603:   0: q^2+6q+2
       1: q^2+3q+2
       2: q^2+6q+2
       3: q^2+3q+2
       4: q^2+6q+2
       5: q^2+3q+2
       6: q+2
       7: q^2+3q+2
       8: q^2+6q+2
       9: q+2
      10: q^2+3q+2
      11: q+2
      12: q^3+4q^2+5q+2
      13: q+2
      15: q^2+3q+2
      16: q+2
      17: q^2+3q+2
      18: q+2
      19: 3q+2
      20: q+2
      21: 3q+2
      23: q^2+6q+2
      24: q^2+6q+2
      25: q+2
      26: q+2
      27: 3q+2
      28: q+2
      29: q+2
      30: q^2+5q+2
      31: 4q+2
      32: 2q+2
      33: 4q+2
      34: 2q+2
      35: q^2+6q+2
      36: q^2+3q+2
      37: q^2+6q+2
      38: q^2+3q+2
      39: q+2
      40: q+2
      41: q+2
      42: 2q+2
      43: 2q+2
      44: 4q+2
      45: q^2+3q+2
      46: 3q+2
      47: q^2+6q+2
      48: 2q+1
      49: 2q+1
      50: q+1
      51: q+1
      52: 2q+1
      53: 2q+1
      54: q+1
      55: q+1
      56: 3q+2
      57: q+2
      58: 3q+2
      60: 3q+2
      61: 3q+2
      62: q+2
      64: 3q+2
      65: q+2
      66: q^2+5q+2
      67: q+2
      68: q+2
      69: 2
      70: 3q+2
      71: 2
      72: 3q+2
      73: q+2
      74: q^2+5q+2
      75: q+2
      76: q+1
      77: q+1
      78: q+1
      79: q+1
      80: 2q+1
      81: 2q+1
      83: q+2
      84: q+2
      85: q+2
      86: 2q+2
      87: q+2
      88: 1
      89: 1
      90: 1
      91: 1
      92: q+1
      93: q+1
      94: 1
      95: 1
      96: 2q+2
      97: 2q+2
      98: 2
      99: 2
     100: 3q+2
     101: 3q+2
     102: q+2
     103: q+2
     104: 3q+2
     105: 3q+2
     106: q+2
     108: 2
     109: 2
     110: 2q+2
     112: q+2
     113: 2
     114: 3q+2
     115: 2
     116: 3q+2
     117: q+2
     118: q^2+5q+2
     119: q+2
     120: q+2
     121: 2
     122: 3q+2
     123: 2
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: q+1
     131: q+1
     132: q+1
     133: q+1
     135: q+2
     136: 1
     137: 1
     138: 1
     139: 1
     140: q+1
     141: q+1
     142: 1
     143: 1
     145: 2
     146: 2
     147: 2
     148: 2q+2
     149: 2
     150: 2
     152: 2
     153: q+2
     154: 3q+2
     155: q+2
     156: q+2
     157: q+2
     158: 2q+2
     159: q+2
     160: 2
     161: 2
     162: 1
     163: 1
     164: 1
     165: 1
     166: q+1
     167: q+1
     168: 1
     169: 1
     170: 2
     171: 2
     172: 2q+2
     174: 1
     175: 1
     176: q+1
     178: 2
     179: 2
     180: 2q+2
     182: q+2
     183: 2
     184: 3q+2
     185: 2
     186: 1
     187: 1
     188: 1
     189: 1
     190: 1
     191: 1
     192: 1
     193: 1
     194: 1
     195: 1
     198: 1
     199: 1
     200: q+1
     201: q+1
     202: 1
     203: 1
     204: 1
     205: 1
     216: 2
     217: 2
     218: 2
     219: 2
     220: 2
     221: 2
     223: 1
     225: 1
     226: q+2
     228: 2
     229: 2
     230: 2
     231: 2
     232: 1
     233: 1
     234: 1
     235: 1
     236: q+1
     237: q+1
     238: 1
     239: 1
     240: 2
     242: q+2
     243: 2
     244: 2
     246: 2
     248: 1
     249: 1
     250: q+1
     252: 2
     253: 2
     254: 2q+2
     256: 1
     257: 1
     258: q+1
     264: 1
     265: 1
     268: 1
     269: 1
     270: 1
     271: 1
     276: 1
     277: 1
     278: 1
     279: 1
     280: 1
     281: 1
     282: 1
     283: 1
     286: 1
     287: 1
     297: 2
     298: 2
     301: 1
     302: 1
     305: 1
     306: 1
     311: 1
     314: 1
     315: 1
     319: 2
     320: 2
     321: 2
     322: 2
     323: 2
     324: 2
     333: 2
     335: 1
     337: 1
     338: 1
     340: 1
     342: 1
     343: 1
     344: q+1
     356: 1
     357: 1
     370: 1
     371: 1
     374: 1
     375: 1
     376: 1
     377: 1
     382: 1
     383: 1
     405: 1
     409: 2
     410: 2
     412: 1
     423: 1
     426: 1
     427: 1
     428: 1
     430: 1
     432: 1
     434: 1
     466: 1
     467: 1
     515: 1
     519: 1
     523: 1
     525: 1
     527: 1
     603: 1

604:   0: 2q+2
       1: q^2+q+2
       2: 2q+2
       3: 2q+2
       4: 2q+2
       6: q^2+q+2
       7: q^2+q+2
       8: 2q+2
      11: q^2+q+2
      12: 2q+2
      19: q+2
      20: q+2
      21: q+2
      23: 2q+2
      24: 2q+2
      25: q^2+q+2
      27: 2q+2
      28: q^2+q+2
      30: 2q+2
      31: 2
      32: 2
      33: 2
      35: 2q+2
      36: q^2+q+2
      37: 2q+2
      41: q+2
      43: 2
      44: 2
      46: q+2
      47: 2q+2
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      60: q+2
      61: q+2
      62: q+2
      64: 2q+2
      65: q^2+q+2
      66: 2q+2
      68: 2
      69: 2
      70: 2
      72: 2q+2
      73: q^2+q+2
      74: 2q+2
      78: 1
      79: 1
      80: 1
      81: 1
      83: q+2
      86: 2q+2
      87: 2
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 1
      97: 2
      99: 2
     101: q+2
     103: q+2
     108: q+2
     109: q+2
     110: q+2
     112: 2
     113: 2
     114: 2
     116: 2q+2
     117: q^2+q+2
     118: 2q+2
     120: 2
     121: 2
     122: 2
     124: 1
     125: 1
     128: 1
     129: 1
     132: 1
     133: 1
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     145: q+2
     146: q+2
     147: 2
     149: 2
     153: 2
     155: q+2
     158: 2q+2
     159: 2
     161: 2
     162: 1
     163: 1
     164: 1
     165: 1
     166: 1
     167: 1
     174: 1
     175: 1
     176: 1
     178: q+2
     179: q+2
     180: q+2
     182: 2
     183: 2
     184: 2
     186: 1
     187: 1
     190: 1
     191: 1
     192: 1
     193: 1
     198: 1
     199: 1
     204: 1
     205: 1
     218: q+2
     220: 2
     223: 1
     225: 1
     228: q+2
     229: q+2
     230: 2
     231: 2
     232: 1
     233: 1
     234: 1
     235: 1
     236: 1
     237: 1
     242: 2
     244: 2
     245: 2
     246: 2
     256: 1
     257: 1
     258: 1
     268: 1
     269: 1
     276: 1
     277: 1
     278: 1
     279: 1
     280: 1
     281: 1
     299: 2
     301: 1
     302: 1
     303: 1
     304: 1
     305: 1
     306: 1
     315: 1
     321: q+2
     323: 2
     324: 2
     335: 1
     337: 1
     338: 1
     339: 1
     340: 1
     358: 1
     359: 1
     370: 1
     371: 1
     376: 1
     377: 1
     402: 1
     411: 2
     412: 1
     427: 1
     428: 1
     429: 1
     430: 1
     470: 1
     471: 1
     497: 1
     515: 1
     520: 1
     604: 1

605:   0: q^2+2q+2
       1: q^2+2q+2
       2: 2q+2
       3: q^2+2q+2
       4: q^2+2q+2
       5: q^3+q+2
       6: q^2+2q+2
       7: q^2+2q+2
       8: 2q+2
       9: q^3+q+2
      10: q^3+q+2
      11: q^3+2q^2+2q+1
      12: 2q+2
      13: q^2+q+1
      14: q^2+q+1
      15: q+2
      16: q+2
      17: q+2
      18: q^2+q+1
      19: q^2+2q+2
      20: q^2+2q+2
      21: q^2+2q+2
      22: q^2+q+1
      23: q+2
      24: q+2
      25: q^2+2q+1
      26: q+1
      27: q^2+2q+2
      28: q^2+2q+2
      29: q^3+q+2
      30: 2q+2
      31: 2
      32: 2
      33: 2
      34: 2
      35: q^2+2q+2
      36: q^2+2q+2
      37: 2q+2
      38: q^3+q+2
      39: q+1
      40: q+2
      41: q^2+2q+2
      42: 2
      43: 2
      44: 2
      45: q+2
      46: q^2+2q+2
      47: q+2
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: q+2
      57: q+2
      58: q+2
      59: q^2+q+1
      60: q+2
      61: q+2
      62: q^2+2q+1
      63: q+1
      64: q+2
      65: q^2+2q+1
      66: q+2
      67: q+1
      68: 2
      69: 2
      70: 2
      71: 2
      72: q^2+2q+2
      73: q^2+2q+2
      74: 2q+2
      75: q^3+q+2
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: 1
      82: q+1
      83: q+1
      84: q+2
      85: q+1
      86: q+2
      87: 2
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 2
      97: 2
      98: 2
      99: 2
     100: q+2
     101: q+2
     102: q+2
     103: q^2+2q+2
     104: 2
     105: 2
     106: q+1
     107: q+1
     108: q+2
     109: q^2+2q+1
     110: q+2
     111: q+1
     112: 1
     113: 1
     114: 1
     115: 1
     116: q+2
     117: q^2+2q+1
     118: q+2
     119: q+1
     120: 2
     121: 2
     122: 2
     123: 2
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 1
     134: q+1
     135: 1
     144: q+1
     145: q+1
     146: q+2
     147: 2
     148: 2
     149: 1
     150: 1
     152: 2
     153: 1
     154: 2
     155: q+1
     156: q+1
     157: q+2
     158: q+2
     159: 2
     160: 2
     161: 2
     162: 1
     163: 1
     164: 1
     165: 1
     166: 1
     167: 1
     168: 1
     169: 1
     170: 2
     171: q+1
     172: 2
     173: q+1
     174: 1
     175: 1
     176: 1
     177: 1
     178: q+2
     179: q^2+2q+1
     180: q+2
     181: q+1
     182: 1
     183: 1
     184: 1
     185: 1
     192: 1
     193: 1
     194: 1
     195: 1
     198: 1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     214: 1
     215: q+1
     216: 1
     217: 2
     218: q+1
     219: 2
     220: 1
     221: 1
     222: 1
     223: 1
     225: 1
     226: 1
     227: q+1
     228: q+1
     229: q+2
     230: 2
     231: 1
     240: 1
     242: 1
     243: 2
     244: 1
     245: 1
     246: 1
     247: 1
     252: 2
     253: q+1
     254: 2
     255: q+1
     256: 1
     257: 1
     258: 1
     259: 1
     270: 1
     271: 1
     278: 1
     279: 1
     286: 1
     287: 1
     296: 1
     297: 1
     298: 1
     299: 1
     300: 1
     309: 1
     315: 1
     317: 1
     318: q+1
     319: 1
     320: 2
     321: q+1
     322: 2
     323: 1
     324: 1
     333: 1
     334: 1
     335: 1
     337: 1
     338: 1
     339: 1
     340: 1
     341: 1
     374: 1
     375: 1
     390: 1
     391: 1
     392: 1
     393: 1
     402: 1
     408: 1
     409: 1
     410: 1
     411: 1
     412: 1
     421: 1
     427: 1
     498: 1
     516: 1
     517: 1
     518: 1
     520: 1
     605: 1

606:   0: q^2+3q+2
       1: q+2
       2: q^2+3q+2
       3: q^2+3q+2
       4: q^2+3q+2
       5: q+2
       6: q+2
       7: q+2
       8: q^2+3q+2
       9: q+2
      10: q+2
      11: q^2+q+1
      12: q^2+3q+2
      13: q^2+q+1
      15: q+2
      16: q+2
      17: q+2
      18: q^2+q+1
      19: q+2
      20: q+2
      21: q+2
      23: 2q+2
      24: 2q+2
      25: q+1
      26: q+1
      27: q^2+3q+2
      28: q+2
      29: q+2
      30: q^2+3q+2
      31: 2q+2
      32: 2
      33: 2q+2
      34: 2
      35: q^2+3q+2
      36: q+2
      37: q^2+3q+2
      38: q+2
      39: q+1
      40: q+2
      41: q+2
      42: 2
      43: 2
      44: 2q+2
      45: q+2
      46: q+2
      47: 2q+2
      48: q+1
      49: q+1
      50: 1
      51: 1
      52: q+1
      53: q+1
      54: 1
      55: 1
      56: q+2
      57: q+2
      58: q+2
      60: 2
      61: 2
      62: q+1
      64: 2q+2
      65: q+1
      66: 2q+2
      67: q+1
      68: 2q+2
      69: 2
      70: 2q+2
      71: 2
      72: q^2+3q+2
      73: q+2
      74: q^2+3q+2
      75: q+2
      76: 1
      77: 1
      78: 1
      79: 1
      80: q+1
      81: q+1
      83: 1
      84: q+2
      85: q+1
      86: 2q+2
      87: 2q+2
      88: q+1
      89: q+1
      90: 1
      91: 1
      92: q+1
      93: q+1
      94: 1
      95: 1
      96: 2
      97: 2
      98: 2
      99: 2
     100: q+2
     101: 2
     102: q+2
     103: q+2
     104: 2
     105: 2
     106: q+1
     108: 2
     109: q+1
     110: 2
     112: q+1
     113: 1
     114: q+1
     115: 1
     116: 2q+2
     117: q+1
     118: 2q+2
     119: q+1
     120: 2q+2
     121: 2
     122: 2q+2
     123: 2
     124: q+1
     125: q+1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 1
     135: 1
     145: 1
     146: 2
     147: 2
     148: 2
     149: 1
     150: 1
     152: 2
     153: q+1
     154: 2
     155: 1
     156: q+1
     157: q+2
     158: 2q+2
     159: 2q+2
     160: 2
     161: 2
     162: q+1
     163: q+1
     164: 1
     165: 1
     166: q+1
     167: q+1
     168: 1
     169: 1
     170: 2
     171: q+1
     172: 2
     174: 1
     175: 1
     176: 1
     178: 2
     179: q+1
     180: 2
     182: q+1
     183: 1
     184: q+1
     185: 1
     192: 1
     193: 1
     194: 1
     195: 1
     198: q+1
     199: q+1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     216: 1
     217: 2
     218: 1
     219: 2
     220: 1
     221: 1
     223: 1
     225: 1
     226: 1
     228: 1
     229: 2
     230: 2
     231: 1
     240: 1
     242: q+1
     243: 2
     244: q+1
     245: 1
     246: q+1
     247: 1
     248: 1
     249: 1
     250: 1
     252: 2
     253: q+1
     254: 2
     256: 1
     257: 1
     258: 1
     270: 1
     271: 1
     278: 1
     279: 1
     286: 1
     287: 1
     297: 1
     298: 1
     299: 1
     300: 1
     311: 1
     314: 1
     315: 1
     319: 1
     320: 2
     321: 1
     322: 2
     323: 1
     324: q+1
     333: 1
     335: 1
     337: 1
     338: 1
     339: 1
     340: 1
     342: 1
     343: 1
     344: 1
     374: 1
     375: 1
     392: 1
     402: 1
     405: 1
     409: 1
     410: 1
     411: 1
     412: 1
     423: 1
     426: 1
     427: 1
     432: 1
     433: 1
     434: 1
     508: 1
     518: 1
     519: 1
     520: 1
     523: 1
     606: 1

607:   0: 2
       1: 2
       2: 2
       3: q+1
       4: 2
       5: 2
       6: q+1
       7: 2
       8: 2
       9: q+1
      10: 2
      11: q+1
      12: q+1
      13: q+1
      14: q+1
      15: 2
      16: q+1
      17: 2
      18: q+1
      19: 2
      20: q+1
      21: 2
      22: q+1
      23: 2
      24: 2
      25: q+1
      26: q+1
      27: 1
      28: 1
      29: 1
      30: 1
      31: 2
      32: 2
      33: 2
      34: 2
      35: 2
      36: 2
      37: 2
      38: 2
      39: q+1
      40: 1
      41: 1
      42: 2
      43: 2
      44: 2
      45: 2
      46: 2
      47: 2
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 2
      57: q+1
      58: 2
      59: q+1
      60: 2
      61: 2
      62: q+1
      63: q+1
      64: 1
      65: 1
      66: 1
      67: 1
      68: 1
      69: 1
      70: 1
      71: 1
      72: 1
      73: 1
      74: 1
      75: 1
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: 1
      82: q+1
      83: 1
      84: 1
      85: 1
      86: 1
      96: 2
      97: 2
      98: 1
      99: 1
     100: 2
     101: 2
     102: 1
     103: 1
     104: 2
     105: 2
     106: q+1
     107: q+1
     108: 1
     109: 1
     110: 1
     111: 1
     112: 1
     113: 1
     114: 1
     115: 1
     116: 1
     117: 1
     118: 1
     119: 1
     120: 1
     121: 1
     122: 1
     123: 1
     130: 1
     131: 1
     132: 1
     133: 1
     134: q+1
     135: 1
     144: 1
     145: 1
     146: 1
     148: 2
     149: 1
     150: 1
     151: 1
     152: 1
     154: 2
     155: 1
     156: 1
     157: 1
     158: 1
     160: 1
     161: 1
     170: 1
     171: 1
     172: 1
     173: 1
     174: 1
     175: 1
     176: 1
     177: 1
     178: 1
     179: 1
     180: 1
     181: 1
     182: 1
     183: 1
     184: 1
     185: 1
     200: 1
     201: 1
     214: 1
     215: 1
     216: 1
     217: 1
     218: 1
     221: 1
     222: 1
     223: 1
     224: 1
     226: 1
     227: 1
     228: 1
     229: 1
     231: 1
     240: 1
     241: 1
     243: 1
     248: 1
     249: 1
     250: 1
     251: 1
     252: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     258: 1
     259: 1
     296: 1
     297: 1
     309: 1
     310: 1
     311: 1
     312: 1
     313: 1
     317: 1
     318: 1
     319: 1
     320: 1
     321: 1
     333: 1
     334: 1
     335: 1
     336: 1
     342: 1
     343: 1
     344: 1
     345: 1
     390: 1
     403: 1
     404: 1
     408: 1
     409: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     510: 1
     516: 1
     521: 1
     522: 1
     607: 1

608:   0: 2
       1: 2
       2: 2
       3: q+1
       4: 2
       5: 2
       6: q+1
       7: 2
       8: 2
       9: q+1
      10: 2
      11: q+1
      12: q+1
      13: q+1
      14: q+1
      15: 2
      16: q+1
      17: 2
      18: q+1
      19: 2
      20: q+1
      21: 2
      22: q+1
      23: 2
      24: 2
      25: q+1
      26: q+1
      27: 1
      28: 1
      29: 1
      30: 1
      31: 2
      32: 2
      33: 2
      34: 2
      35: 2
      36: 2
      37: 2
      38: 2
      39: q+1
      40: 1
      41: 1
      42: 2
      43: 2
      44: 2
      45: 2
      46: 2
      47: 2
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 2
      57: q+1
      58: 2
      59: q+1
      60: 2
      61: 2
      62: q+1
      63: q+1
      64: 1
      65: 1
      66: 1
      67: 1
      68: 1
      69: 1
      70: 1
      71: 1
      72: 1
      73: 1
      74: 1
      75: 1
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: 1
      82: q+1
      83: 1
      84: 1
      85: 1
      87: 1
      96: 2
      97: 2
      98: 1
      99: 1
     100: 2
     101: 2
     102: 1
     103: 1
     104: 2
     105: 2
     106: q+1
     107: q+1
     108: 1
     109: 1
     110: 1
     111: 1
     112: 1
     113: 1
     114: 1
     115: 1
     116: 1
     117: 1
     118: 1
     119: 1
     120: 1
     121: 1
     122: 1
     123: 1
     130: 1
     131: 1
     132: 1
     133: 1
     134: q+1
     135: 1
     144: 1
     145: 1
     147: 1
     148: 2
     149: 1
     150: 1
     152: 1
     153: 1
     154: 2
     155: 1
     156: 1
     157: 1
     159: 1
     160: 1
     161: 1
     170: 1
     171: 1
     172: 1
     173: 1
     174: 1
     175: 1
     176: 1
     177: 1
     178: 1
     179: 1
     180: 1
     181: 1
     182: 1
     183: 1
     184: 1
     185: 1
     200: 1
     201: 1
     214: 1
     215: 1
     216: 1
     219: 1
     220: 1
     221: 1
     222: 1
     223: 1
     225: 1
     226: 1
     227: 1
     228: 1
     230: 1
     231: 1
     240: 1
     242: 1
     243: 1
     248: 1
     249: 1
     250: 1
     251: 1
     252: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     258: 1
     259: 1
     296: 1
     298: 1
     309: 1
     310: 1
     311: 1
     314: 1
     315: 1
     317: 1
     318: 1
     319: 1
     322: 1
     323: 1
     333: 1
     334: 1
     335: 1
     337: 1
     342: 1
     343: 1
     344: 1
     345: 1
     391: 1
     403: 1
     405: 1
     408: 1
     410: 1
     421: 1
     422: 1
     423: 1
     426: 1
     427: 1
     511: 1
     517: 1
     521: 1
     523: 1
     608: 1

609:   0: 2q^2+6q+2
       1: 2q^2+4q+2
       2: 6q+2
       3: q^3+3q^2+4q+2
       4: 2q^2+6q+2
       5: 2q^2+4q+2
       6: q^3+2q^2+3q+2
       7: 2q^2+4q+2
       8: 6q+2
       9: q^3+2q^2+3q+2
      10: 2q^2+4q+2
      11: q^3+2q^2+2q+1
      12: 2q^2+4q+2
      13: q^3+2q^2+2q+1
      15: 2q^2+4q+2
      16: q^3+2q^2+3q+2
      17: 2q^2+4q+2
      18: q^3+2q^2+2q+1
      19: 4q+2
      20: q^2+3q+2
      21: 4q+2
      23: 4q+2
      24: 4q+2
      25: q^2+2q+1
      26: q^2+2q+1
      27: q^2+4q+2
      28: q^2+3q+2
      29: q^2+3q+2
      30: 4q+2
      31: 2q^2+6q+2
      32: 2q^2+4q+2
      33: 6q+2
      34: 2q^2+4q+2
      35: 2q^2+6q+2
      36: 2q^2+4q+2
      37: 6q+2
      38: 2q^2+4q+2
      39: q^2+2q+1
      40: q^2+3q+2
      41: 3q+2
      42: 2q^2+4q+2
      43: 4q+2
      44: 4q+2
      45: 2q^2+4q+2
      46: 4q+2
      47: 4q+2
      48: q^2+3q+1
      49: q^2+3q+1
      50: q^2+2q+1
      51: q^2+2q+1
      52: 3q+1
      53: 3q+1
      54: q^2+2q+1
      55: q^2+2q+1
      56: 4q+2
      57: q^2+3q+2
      58: 4q+2
      60: 2q+2
      61: 2q+2
      62: q^2+2q+1
      64: 2q+2
      65: 2q+1
      66: 2q+2
      67: 2q+1
      68: q^2+4q+2
      69: q^2+3q+2
      70: 4q+2
      71: q^2+3q+2
      72: q^2+4q+2
      73: q^2+3q+2
      74: 4q+2
      75: q^2+3q+2
      76: q^2+2q+1
      77: q^2+2q+1
      78: 2q+1
      79: 2q+1
      80: 2q+1
      81: 2q+1
      83: q+1
      84: 3q+2
      85: 2q+1
      86: q+2
      87: q+2
      88: q+1
      89: q+1
      90: q+1
      91: q+1
      92: q+1
      93: q+1
      94: q+1
      95: q+1
      96: 4q+2
      97: 2q+2
      98: q^2+3q+2
      99: 3q+2
     100: 4q+2
     101: 2q+2
     102: q^2+3q+2
     103: 3q+2
     104: 2q+2
     105: 2q+2
     106: q^2+2q+1
     108: 2
     109: q+1
     110: 2
     112: 2q+2
     113: 2q+1
     114: 2q+2
     115: 2q+1
     116: 2q+2
     117: 2q+1
     118: 2q+2
     119: 2q+1
     120: q^2+4q+2
     121: q^2+3q+2
     122: 4q+2
     123: q^2+3q+2
     124: 1
     125: 1
     126: q+1
     127: q+1
     128: q+1
     129: q+1
     130: 2q+1
     131: 2q+1
     132: q+1
     133: q+1
     135: q+1
     145: 1
     146: 2
     147: 2
     148: 2q+2
     149: q+1
     150: 2q+1
     151: q+2
     152: 3q+2
     153: q+2
     154: 2q+2
     155: q+1
     156: 2q+1
     157: 3q+2
     158: q+2
     159: q+2
     160: q^2+3q+2
     161: 3q+2
     162: q+1
     163: q+1
     164: q+1
     165: q+1
     166: q+1
     167: q+1
     168: q+1
     169: q+1
     170: 2
     171: q+1
     172: 2
     174: 2
     175: q+1
     176: 2
     178: 2
     179: q+1
     180: 2
     182: 2q+2
     183: 2q+1
     184: 2q+2
     185: 2q+1
     192: 1
     193: 1
     194: q+1
     195: q+1
     196: 1
     197: 1
     198: 1
     199: 1
     200: q+1
     201: q+1
     202: q+1
     203: q+1
     204: q+1
     205: q+1
     216: 1
     217: 2
     218: 1
     219: 2
     220: 1
     221: q+1
     223: 1
     224: 2
     225: 2
     226: q+1
     228: 1
     229: 2
     230: 2
     231: q+1
     240: 2q+1
     241: q+2
     242: q+2
     243: 3q+2
     244: 2
     245: q+1
     246: 2
     247: q+1
     248: 2
     249: q+1
     250: 2
     252: 2
     253: q+1
     254: 2
     256: 2
     257: q+1
     258: 2
     270: 1
     271: 1
     274: 1
     275: 1
     278: 1
     279: 1
     284: 1
     285: 1
     286: q+1
     287: q+1
     297: 1
     298: 1
     299: 1
     300: q+1
     311: 1
     312: 2
     313: 1
     314: 2
     315: 1
     316: 2
     319: 1
     320: 2
     321: 1
     322: 2
     323: 1
     324: 2
     333: q+1
     335: 1
     336: 2
     337: 2
     342: 2
     343: q+1
     344: 2
     366: 1
     367: 1
     374: 1
     375: 1
     384: 1
     385: 1
     388: 1
     389: 1
     392: 1
     404: 1
     405: 1
     406: 1
     409: 1
     410: 1
     411: 1
     423: 1
     424: 2
     425: 1
     426: 2
     427: 1
     484: 1
     485: 1
     512: 1
     518: 1
     522: 1
     523: 1
     524: 1
     609: 1

610:   0: 2q+2
       1: 2q+2
       2: 2q+2
       3: 2q+2
       4: 2q+2
       6: 2q+2
       7: 2q+2
       8: 2q+2
      11: q^3+q^2+q+1
      12: 2q+2
      19: 2q+2
      20: 2q+2
      21: 2q+2
      23: 2
      24: 2
      25: q+1
      27: 2q+2
      28: 2q+2
      30: 2q+2
      31: 2q+2
      32: 2q+2
      33: 2q+2
      35: 2q+2
      36: 2q+2
      37: 2q+2
      41: 2q+2
      43: 2q+2
      44: 2
      46: 2q+2
      47: 2
      48: q+1
      49: q+1
      50: q+1
      51: q+1
      52: q+1
      53: q+1
      60: 2
      61: 2
      62: q+1
      64: 2
      65: q+1
      66: 2
      68: 2q+2
      69: 2q+2
      70: 2q+2
      72: 2q+2
      73: 2q+2
      74: 2q+2
      78: q+1
      79: q+1
      80: 1
      81: 1
      83: 1
      86: 2
      87: 2
      88: q+1
      89: q+1
      90: q+1
      91: q+1
      92: q+1
      93: q+1
      97: 2
      99: 2q+2
     101: 2
     103: 2q+2
     108: 2
     109: q+1
     110: 2
     112: 2
     113: q+1
     114: 2
     116: 2
     117: q+1
     118: 2
     120: 2q+2
     121: 2q+2
     122: 2q+2
     124: 1
     125: 1
     128: q+1
     129: q+1
     132: 1
     133: 1
     145: 1
     146: 2
     147: 2
     149: 1
     151: 2
     153: 2
     155: 1
     158: 2
     159: 2
     161: 2q+2
     162: q+1
     163: q+1
     164: q+1
     165: q+1
     166: q+1
     167: q+1
     174: 2
     175: q+1
     176: 2
     178: 2
     179: q+1
     180: 2
     182: 2
     183: q+1
     184: 2
     192: 1
     193: 1
     196: 1
     197: 1
     198: 1
     199: 1
     204: q+1
     205: q+1
     218: 1
     220: 1
     223: 1
     224: 2
     225: 2
     228: 1
     229: 2
     230: 2
     231: 1
     241: 2
     242: 2
     244: 2
     245: q+1
     246: 2
     256: 2
     257: q+1
     258: 2
     274: 1
     275: 1
     278: 1
     279: 1
     284: 1
     285: 1
     299: 1
     313: 1
     315: 1
     316: 2
     321: 1
     323: 1
     324: 2
     335: 1
     336: 2
     337: 2
     338: 2
     339: q+1
     340: 2
     384: 1
     385: 1
     388: 1
     389: 1
     402: 1
     406: 1
     407: 2
     411: 1
     412: 2
     425: 1
     427: 1
     486: 1
     487: 1
     514: 1
     520: 1
     524: 1
     610: 1

611:   0: 3q^2+8q+2
       1: 3q^2+8q+2
       2: 3q^2+8q+2
       3: 3q^2+5q+2
       4: 6q+2
       5: 2q^3+q^2+5q+2
       6: 3q^2+5q+2
       7: 6q+2
       8: 6q+2
       9: 3q+2
      10: 2q^3+4q+2
      11: 3q^2+5q+2
      12: 2q^2+4q+2
      13: 3q+2
      14: 3q+2
      15: q^2+5q+2
      16: 3q+2
      17: 4q+2
      18: 3q+2
      19: 3q^2+8q+2
      20: 3q^2+5q+2
      21: 6q+2
      22: 3q+2
      23: 3q^2+8q+2
      24: 6q+2
      25: 3q^2+5q+2
      26: 3q+2
      27: q^2+5q+2
      28: q^2+5q+2
      29: 3q+2
      30: 4q+2
      31: 5q+2
      32: 5q+2
      33: 5q+2
      34: q^3+3q+2
      35: 5q+2
      36: 5q+2
      37: 5q+2
      38: q^3+3q+2
      39: 3q+2
      40: 3q+2
      41: q^2+5q+2
      42: 3q+2
      43: 5q+2
      44: 5q+2
      45: 3q+2
      46: 5q+2
      47: 5q+2
      48: 2q+1
      49: 2q+1
      50: 2q+1
      51: 2q+1
      52: 2q+1
      53: 2q+1
      54: q+1
      55: q+1
      56: q^2+5q+2
      57: 3q+2
      58: 4q+2
      59: 3q+2
      60: 3q^2+8q+2
      61: 6q+2
      62: 3q^2+5q+2
      63: 3q+2
      64: q^2+5q+2
      65: q^2+5q+2
      66: 4q+2
      67: 3q+2
      68: 2q+2
      69: 2q+2
      70: 3q+2
      71: q+2
      72: 2q+2
      73: 2q+2
      74: 3q+2
      75: q+2
      76: q+1
      77: q+1
      78: 2q+1
      79: 2q+1
      80: 2q+1
      81: 2q+1
      82: 3q+2
      83: q^2+5q+2
      84: 3q+2
      85: 3q+2
      86: q+2
      87: q+2
      88: 1
      89: 1
      90: 1
      91: 1
      92: q+1
      93: q+1
      94: 1
      95: 1
      96: 3q+2
      97: 5q+2
      98: q+2
      99: 2q+2
     100: 3q+2
     101: 5q+2
     102: q+2
     103: 2q+2
     104: q^2+5q+2
     105: 4q+2
     106: 3q+2
     107: 3q+2
     108: q^2+5q+2
     109: q^2+5q+2
     110: 4q+2
     111: 3q+2
     112: 2q+2
     113: 2q+2
     114: 3q+2
     115: q+2
     116: 2q+2
     117: 2q+2
     118: 3q+2
     119: q+2
     120: q+2
     121: q+2
     123: 2
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: q+1
     131: q+1
     132: 2q+1
     133: 2q+1
     134: 3q+2
     135: 3q+2
     136: 1
     137: 1
     138: 1
     139: 1
     140: q+1
     141: q+1
     142: 1
     143: 1
     144: 3q+2
     145: q^2+5q+2
     146: q+2
     147: q+2
     148: 3q+2
     149: 2q+2
     150: q+2
     152: q+2
     153: q+2
     154: 3q+2
     155: 2q+2
     156: q+2
     157: q+2
     158: q+2
     160: 2
     161: q+2
     162: 1
     163: 1
     164: 1
     165: 1
     168: 1
     169: 1
     170: q+2
     171: q+2
     172: 2q+2
     173: q+2
     174: 2q+2
     175: 2q+2
     176: 3q+2
     177: q+2
     178: 2q+2
     179: 2q+2
     180: 3q+2
     181: q+2
     182: q+2
     183: q+2
     185: 2
     186: 1
     187: 1
     188: 1
     189: 1
     190: 1
     191: 1
     192: 1
     193: 1
     194: 1
     195: 1
     200: q+1
     201: q+1
     202: 1
     203: 1
     204: 1
     205: 1
     206: 1
     207: 1
     208: 1
     209: 1
     210: q+1
     211: q+1
     212: 1
     213: 1
     214: 3q+2
     215: q+2
     216: q+2
     217: 2
     218: q+2
     219: 2
     220: q+2
     221: q+2
     222: q+2
     223: 2q+2
     225: q+2
     226: q+2
     227: q+2
     228: 2q+2
     229: q+2
     231: q+2
     232: 1
     233: 1
     234: 1
     235: 1
     238: 1
     239: 1
     240: 2
     243: 2
     244: 2
     248: 1
     249: 1
     250: q+1
     251: 1
     252: 1
     253: 1
     254: q+1
     255: 1
     256: q+2
     257: q+2
     259: 2
     260: 1
     261: 1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     267: 1
     268: 1
     269: 1
     270: 1
     271: 1
     280: 1
     281: 1
     282: 1
     283: 1
     286: 1
     287: 1
     296: q+2
     297: 2
     298: 2
     301: 1
     302: 1
     309: q+2
     310: 1
     311: 1
     314: 1
     315: q+2
     317: q+2
     318: 1
     319: 1
     320: 1
     321: q+2
     325: 1
     326: 1
     327: 1
     328: 1
     331: 1
     332: 1
     333: 2
     334: 2
     335: q+2
     338: 2
     342: 1
     343: 1
     345: 1
     350: 1
     351: 1
     354: 1
     355: 1
     356: 1
     357: 1
     378: 1
     379: 1
     380: 1
     381: 1
     382: 1
     383: 1
     390: 2
     391: 2
     394: 1
     395: 1
     403: 1
     405: 1
     408: 1
     409: 1
     421: 2
     422: 1
     423: 1
     428: 2
     432: 1
     444: 1
     445: 1
     478: 1
     479: 1
     489: 1
     490: 1
     511: 1
     516: 1
     521: 1
     525: 1
     611: 1

612:   0: 6q+2
       1: 6q+2
       2: 2q^2+4q+2
       3: 4q^2+7q+2
       4: 6q+2
       5: 2q^2+4q+2
       6: 4q^2+7q+2
       7: 6q+2
       8: 2q^2+4q+2
       9: q^3+3q^2+4q+2
      10: 2q^2+4q+2
      11: q^3+3q^2+4q+2
      13: q^2+2q+2
      14: q^2+2q+2
      15: 4q+2
      16: 2q^2+4q+2
      17: 4q+2
      18: q^2+2q+2
      19: 6q+2
      20: 4q^2+7q+2
      21: 6q+2
      22: q^2+2q+2
      23: 4q+2
      24: 4q+2
      25: 2q^2+4q+2
      26: q^2+2q+2
      27: 5q+2
      28: 5q+2
      29: q^2+3q+2
      31: 6q+2
      32: 6q+2
      33: 2q^2+4q+2
      34: 2q^2+4q+2
      35: 6q+2
      36: 6q+2
      37: 2q^2+4q+2
      38: 2q^2+4q+2
      39: q^2+2q+2
      40: 3q+2
      41: 5q+2
      42: 4q+2
      43: 6q+2
      44: 4q+2
      45: 4q+2
      46: 6q+2
      47: 4q+2
      48: 3q+1
      49: 3q+1
      50: 3q+1
      51: 3q+1
      52: q^2+2q+1
      53: q^2+2q+1
      54: q^2+2q+1
      55: q^2+2q+1
      56: 4q+2
      57: 2q^2+4q+2
      58: 4q+2
      59: q^2+2q+2
      60: 4q+2
      61: 4q+2
      62: 2q^2+4q+2
      63: q^2+2q+2
      64: 3q+2
      65: 2q+2
      67: q+2
      68: 5q+2
      69: 5q+2
      71: q^2+3q+2
      72: 5q+2
      73: 5q+2
      75: q^2+3q+2
      76: 2q+1
      77: 2q+1
      78: 3q+1
      79: 3q+1
      80: 2q+1
      81: 2q+1
      82: q^2+2q+2
      83: q+2
      84: 3q+2
      85: q+2
      88: 2q+1
      89: 2q+1
      90: 2q+1
      91: 2q+1
      94: q+1
      95: q+1
      96: 4q+2
      97: 4q+2
      98: 3q+2
      99: 5q+2
     100: 4q+2
     101: 4q+2
     102: 3q+2
     103: 5q+2
     104: 2q+2
     105: 2q+2
     106: q+2
     107: q+2
     108: 3q+2
     109: 2q+2
     111: q+2
     112: 3q+2
     113: 2q+2
     115: q+2
     116: 3q+2
     117: 2q+2
     119: q+2
     120: 5q+2
     121: 5q+2
     123: q^2+3q+2
     126: q+1
     127: q+1
     128: 2q+1
     129: 2q+1
     130: 2q+1
     131: 2q+1
     132: 2q+1
     133: 2q+1
     134: q+2
     135: 2
     136: q+1
     137: q+1
     138: 1
     139: 1
     142: 1
     143: 1
     144: q+2
     145: q+2
     148: 2q+2
     149: q+2
     150: q+2
     152: 3q+2
     154: 2q+2
     155: q+2
     156: q+2
     157: 3q+2
     160: 3q+2
     161: 5q+2
     162: 2q+1
     163: 2q+1
     164: 2q+1
     165: 2q+1
     168: q+1
     169: q+1
     170: q+1
     171: 1
     173: 1
     174: 3q+2
     175: 2q+2
     177: q+2
     178: 3q+2
     179: 2q+2
     181: q+2
     182: 3q+2
     183: 2q+2
     185: q+2
     186: 1
     187: 1
     188: 1
     189: 1
     194: q+1
     195: q+1
     200: q+1
     201: q+1
     202: q+1
     203: q+1
     204: 2q+1
     205: 2q+1
     206: q+1
     207: q+1
     208: 1
     209: 1
     212: 1
     213: 1
     214: 2
     215: 1
     216: 1
     221: 2
     222: q+2
     223: q+2
     226: 2
     227: q+2
     228: q+2
     231: q+2
     232: q+1
     233: q+1
     234: 1
     235: 1
     238: 1
     239: 1
     240: q+2
     243: 3q+2
     245: q+2
     247: 2
     248: q+1
     249: 1
     251: 1
     252: q+1
     253: 1
     255: 1
     256: 3q+2
     257: 2q+2
     259: q+2
     260: 1
     261: 1
     262: 1
     263: 1
     264: 1
     265: 1
     280: 1
     281: 1
     282: 1
     283: 1
     286: q+1
     287: q+1
     296: 1
     300: 2
     303: 1
     304: 1
     307: 1
     308: 1
     309: 2
     310: 1
     311: 1
     317: 2
     318: 1
     319: 1
     325: q+1
     326: q+1
     327: 1
     328: 1
     331: 1
     332: 1
     333: 2
     334: q+2
     335: q+2
     339: q+2
     341: 2
     342: q+1
     343: 1
     345: 1
     350: 1
     351: 1
     360: 1
     361: 1
     378: 1
     379: 1
     380: 1
     381: 1
     382: 1
     383: 1
     393: 2
     396: 1
     397: 1
     400: 1
     401: 1
     403: 1
     408: 1
     421: 2
     422: 1
     423: 1
     429: 2
     433: 1
     435: 1
     452: 1
     453: 1
     478: 1
     479: 1
     491: 1
     492: 1
     507: 1
     521: 1
     526: 1
     612: 1

613:   0: 2q+2
       1: 2q+2
       2: 2q+2
       3: 2q+2
       4: 2q^2+4q+2
       5: 2
       6: 2q+2
       7: 2q^2+4q+2
       8: 2q^2+4q+2
       9: 2
      10: q^3+q^2+2q+2
      11: 2q+2
      12: 2q^2+4q+2
      13: 2
      14: 2
      15: 2
      16: 2
      17: q^2+2q+2
      18: 2
      19: 2q+2
      20: 2q+2
      21: 2q^2+4q+2
      22: 2
      23: 2q+2
      24: 2q^2+4q+2
      25: 2q+2
      26: 2
      27: 2q+2
      28: 2q+2
      29: 2
      30: 2q^2+4q+2
      31: q+2
      32: q+2
      33: q+2
      34: 2
      35: q+2
      36: q+2
      37: q+2
      38: 2
      39: 2
      40: 2
      41: 2q+2
      42: 2
      43: q+2
      44: q+2
      45: 2
      46: q+2
      47: q+2
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 2
      57: 2
      58: q^2+2q+2
      59: 2
      60: 2q+2
      61: 2q^2+4q+2
      62: 2q+2
      63: 2
      64: 2q+2
      65: 2q+2
      66: 2q^2+4q+2
      67: 2
      68: q+2
      69: q+2
      70: q+2
      71: 2
      72: q+2
      73: q+2
      74: q+2
      75: 2
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: 1
      82: 2
      83: 2q+2
      84: 2
      85: 2
      86: q+2
      87: q+2
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 2
      97: q+2
      98: 2
      99: q+2
     100: 2
     101: q+2
     102: 2
     103: q+2
     104: 2
     105: q^2+2q+2
     106: 2
     107: 2
     108: 2q+2
     109: 2q+2
     110: 2q^2+4q+2
     111: 2
     112: q+2
     113: q+2
     114: q+2
     115: 2
     116: q+2
     117: q+2
     118: q+2
     119: 2
     122: 2
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 1
     134: 2
     135: 2
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: 1
     144: 2
     145: 2q+2
     146: q+2
     147: q+2
     148: 2
     149: q+2
     150: 2
     152: 2
     153: q+2
     154: 2
     155: q+2
     156: 2
     157: 2
     158: q+2
     166: 1
     167: 1
     170: 2
     171: 2
     172: q^2+2q+2
     173: 2
     174: q+2
     175: q+2
     176: q+2
     177: 2
     178: q+2
     179: q+2
     180: q+2
     181: 2
     184: 2
     186: 1
     187: 1
     188: 1
     189: 1
     190: 1
     191: 1
     192: 1
     193: 1
     194: 1
     195: 1
     200: 1
     201: 1
     206: 1
     207: 1
     208: 1
     209: 1
     210: 1
     211: 1
     212: 1
     213: 1
     214: 2
     215: 2
     216: 2
     217: 2
     218: q+2
     219: 2
     220: q+2
     221: 2
     222: 2
     223: q+2
     225: q+2
     226: 2
     227: 2
     228: q+2
     229: q+2
     236: 1
     237: 1
     246: 2
     248: 1
     249: 1
     250: 1
     251: 1
     252: 1
     253: 1
     254: 1
     255: 1
     258: 2
     260: 1
     261: 1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     267: 1
     268: 1
     269: 1
     270: 1
     271: 1
     296: 2
     297: 2
     298: 2
     305: 1
     306: 1
     309: 2
     310: 1
     311: 1
     314: 1
     315: q+2
     317: 2
     318: 1
     319: 1
     320: 1
     321: q+2
     329: 1
     330: 1
     340: 2
     344: 1
     350: 1
     351: 1
     354: 1
     355: 1
     356: 1
     357: 1
     390: 2
     391: 2
     398: 1
     399: 1
     403: 1
     405: 1
     408: 1
     409: 1
     430: 2
     434: 1
     444: 1
     445: 1
     493: 1
     494: 1
     511: 1
     516: 1
     527: 1
     613: 1

614:   0: 2
       1: 2
       3: 2
       4: 2
       5: 2q+2
       6: 2
       7: 2
       9: 2q+2
      10: 2q+2
      11: 2q+2
      13: q^3+2q+2
      14: q^3+2q+2
      15: 2
      16: 2
      17: 2
      18: q+2
      19: 2
      20: 2
      21: 2
      22: q^3+2q+2
      25: 2
      26: q+2
      27: 2
      28: 2
      29: 2q+2
      31: 2
      32: 2
      34: 2q+2
      35: 2
      36: 2
      38: 2q+2
      39: 2
      40: 2
      41: 2
      42: 2
      43: 2
      45: 2
      46: 2
      48: 1
      49: 1
      50: 1
      51: 1
      54: q+1
      55: q+1
      56: 2
      57: 2
      58: 2
      59: q+2
      62: 2
      63: q+2
      65: 2
      67: q+2
      68: 2
      69: 2
      71: 2q+2
      72: 2
      73: 2
      75: 2q+2
      76: 1
      77: 1
      78: 1
      79: 1
      82: 2
      84: 2
      85: 2
      88: 1
      89: 1
      90: 1
      91: 1
      94: q+1
      95: q+1
      96: 2
      98: 2
      99: 2
     100: 2
     102: 2
     103: 2
     106: 1
     107: 1
     109: 2
     111: q+2
     113: 2
     115: q+2
     117: 2
     119: q+2
     120: 2
     121: 2
     123: 2q+2
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     134: 1
     138: 1
     139: 1
     142: 1
     143: 1
     144: 2
     150: 2
     152: 2
     156: 2
     157: 2
     160: 2
     161: 2
     162: 1
     163: 1
     164: 1
     165: 1
     168: q+1
     169: q+1
     171: 1
     173: 1
     175: 2
     177: q+2
     179: 2
     181: q+2
     183: 2
     185: q+2
     188: 1
     189: 1
     194: 1
     195: 1
     202: 1
     203: 1
     204: 1
     205: 1
     208: 1
     209: 1
     212: 1
     213: 1
     215: 1
     222: 2
     227: 2
     234: 1
     235: 1
     238: 1
     239: 1
     240: 2
     243: 2
     245: 2
     247: q+2
     249: 1
     251: 1
     253: 1
     255: 1
     257: 2
     259: q+2
     260: 1
     261: 1
     282: 1
     283: 1
     286: 1
     287: 1
     300: 2
     303: 1
     304: 1
     307: 1
     308: 1
     310: 1
     318: 1
     327: 1
     328: 1
     331: 1
     332: 1
     334: 2
     339: 2
     341: q+2
     343: 1
     345: 1
     360: 1
     361: 1
     378: 1
     379: 1
     393: 2
     396: 1
     397: 1
     400: 1
     401: 1
     422: 1
     431: 2
     433: 1
     435: 1
     452: 1
     453: 1
     495: 1
     496: 1
     507: 1
     528: 1
     614: 1

615:   0: q+1
       1: q+1
       2: q+1
       3: 1
       4: q+1
       6: 1
       7: q+1
       8: q+1
      11: 1
      12: q^2+q+1
      19: q+1
      20: 1
      21: q+1
      23: q+1
      24: q+1
      25: 1
      27: 1
      28: 1
      30: q+1
      31: q+1
      32: q+1
      33: q+1
      35: q+1
      36: q+1
      37: q+1
      41: 1
      43: q+1
      44: q+1
      46: q+1
      47: q+1
      48: q+1
      50: q+1
      52: q+1
      60: q+1
      61: q+1
      62: 1
      64: 1
      65: 1
      66: q+1
      68: 1
      69: 1
      70: q+1
      72: 1
      73: 1
      74: q+1
      78: q+1
      80: q+1
      83: 1
      86: 1
      87: 1
      88: 1
      90: 1
      92: q+1
      97: q+1
      99: 1
     101: q+1
     103: 1
     108: 1
     109: 1
     110: q+1
     112: 1
     113: 1
     114: q+1
     116: 1
     117: 1
     118: q+1
     120: 1
     121: 1
     122: q+1
     124: 1
     128: 1
     132: q+1
     136: 1
     138: 1
     140: q+1
     145: 1
     146: 1
     147: 1
     149: 1
     151: 1
     153: 1
     155: 1
     158: 1
     159: 1
     161: 1
     162: 1
     164: 1
     166: q+1
     174: 1
     175: 1
     176: q+1
     178: 1
     179: 1
     180: q+1
     182: 1
     183: 1
     184: q+1
     186: 1
     190: 1
     192: 1
     196: 1
     198: 1
     204: 1
     206: 1
     208: 1
     210: q+1
     218: 1
     220: 1
     223: 1
     224: 1
     225: 1
     228: 1
     229: 1
     230: 1
     231: 1
     232: 1
     234: 1
     236: q+1
     241: 1
     242: 1
     244: 1
     246: 1
     256: 1
     257: 1
     258: q+1
     262: 1
     266: 1
     268: 1
     272: 1
     274: 1
     276: 1
     278: 1
     280: 1
     284: 1
     301: 1
     305: 1
     313: 1
     315: 1
     316: 1
     321: 1
     323: 1
     324: 1
     325: 1
     327: 1
     329: q+1
     335: 1
     336: 1
     337: 1
     338: 1
     340: 1
     354: 1
     362: 1
     364: 1
     368: 1
     370: 1
     372: 1
     376: 1
     380: 1
     384: 1
     386: 1
     388: 1
     394: 1
     398: 1
     407: 1
     412: 1
     425: 1
     427: 1
     428: 1
     430: 1
     436: 1
     454: 1
     462: 1
     464: 1
     472: 1
     480: 1
     482: 1
     486: 1
     489: 1
     493: 1
     509: 1
     515: 1
     529: 1
     549: 1
     561: 1
     575: 1
     577: 1
     615: 1

616:   0: 2q^2+3q
       1: 2q^2+3q
       2: 2q^2+3q
       3: q^2+2q
       4: 2q^2+3q
       6: q^2+2q
       7: 2q^2+3q
       8: 2q^2+3q
      11: q^2+2q
      12: 2q^3+2q^2+2q
      19: 2q^2+3q
      20: q^2+2q
      21: 2q^2+3q
      23: 2q^2+3q
      24: 2q^2+3q
      25: q^2+2q
      27: 2q
      28: 2q
      30: q^2+2q
      31: 2q^2+3q
      32: 2q^2+3q
      33: 2q^2+3q
      35: 2q^2+3q
      36: 2q^2+3q
      37: 2q^2+3q
      41: 2q
      43: 2q^2+3q
      44: 2q^2+3q
      46: 2q^2+3q
      47: 2q^2+3q
      48: q^2+q
      49: q^2+2q
      50: q^2+q
      51: q^2+2q
      52: q^2+q
      53: q^2+2q
      60: 2q^2+3q
      61: 2q^2+3q
      62: q^2+2q
      64: 2q
      65: 2q
      66: q^2+2q
      68: 2q
      69: 2q
      70: q^2+2q
      72: 2q
      73: 2q
      74: q^2+2q
      78: q^2+q
      79: q^2+2q
      80: q^2+q
      81: q^2+2q
      83: 2q
      86: q
      87: q
      89: q
      91: q
      93: q
      97: 2q^2+3q
      99: 2q
     101: 2q^2+3q
     103: 2q
     108: 2q
     109: 2q
     110: q^2+2q
     112: 2q
     113: 2q
     114: q^2+2q
     116: 2q
     117: 2q
     118: q^2+2q
     120: 2q
     121: 2q
     122: q^2+2q
     129: q
     132: q^2+q
     133: q^2+2q
     137: q
     139: q
     141: q
     145: 2q
     146: q
     147: q
     149: 2q
     151: q
     153: q
     155: 2q
     158: q
     159: q
     161: 2q
     163: q
     165: q
     167: q
     174: 2q
     175: 2q
     176: q^2+2q
     178: 2q
     179: 2q
     180: q^2+2q
     182: 2q
     183: 2q
     184: q^2+2q
     187: q
     205: q
     207: q
     209: q
     211: q
     218: q
     220: q
     223: 2q
     224: q
     225: q
     228: 2q
     229: q
     230: q
     231: 2q
     233: q
     235: q
     237: q
     241: q
     242: q
     244: 1
     246: 1
     256: 2q
     257: 2q
     258: q^2+2q
     263: q
     281: q
     302: 1
     306: 1
     313: q
     315: q
     316: 1
     321: q
     323: q
     324: 1
     326: q
     328: q
     330: q
     335: 2q
     336: q
     337: q
     338: 1
     340: 1
     369: 1
     377: 1
     381: q
     388: 1
     395: 1
     399: 1
     407: 1
     412: 1
     425: q
     427: q
     428: 1
     430: 1
     437: 1
     463: 1
     473: 1
     486: 1
     490: 1
     494: 1
     509: 1
     515: 1
     530: 1
     550: 1
     562: 1
     575: 1
     616: 1

617:   0: q^3+2q^2+q
       1: q^4+q^3+q^2+q
       2: q^3+2q^2+q
       3: q^4+q^3+q^2+q
       4: q^3+2q^2+q
       6: q^3+q
       7: q^2+q
       8: q^3+2q^2+q
      11: q^3+q
      12: q^4+2q^3+2q^2+q
      19: q^3+q^2+q
      20: q^3+q
      21: q^2+q
      23: q^3+2q^2+q
      24: q^3+2q^2+q
      25: q^3+q
      27: q^3+q^2+q
      28: q^3+q
      30: q^3+2q^2+q
      31: 2q^2+q
      32: q^2+q
      33: 2q^2+q
      35: 2q^2+q
      36: q^2+q
      37: 2q^2+q
      41: q^3+q
      43: q^2+q
      44: 2q^2+q
      46: q^2+q
      47: 2q^2+q
      48: 2q^2+q
      50: q^2+q
      52: 2q^2+q
      60: q^3+q^2+q
      61: q^2+q
      62: q^3+q
      64: q^3+q^2+q
      65: q^3+q
      66: q^3+2q^2+q
      68: q^2+q
      69: q
      70: 2q^2+q
      72: q^2+q
      73: q
      74: 2q^2+q
      78: q^2+q
      80: 2q^2+q
      83: q^3+q
      86: q^2+q
      87: q^2+q
      88: q^2+q
      90: q
      92: 2q^2+q
      97: q^2+q
      99: q
     101: q^2+q
     103: q
     108: q
     109: q
     110: q^2+q
     112: q^2+q
     113: q
     114: 2q^2+q
     116: q^2+q
     117: q
     118: 2q^2+q
     120: q
     121: q
     122: q^2+q
     124: q^2+q
     128: q
     132: q^2+q
     136: q^2+q
     138: q
     140: 2q^2+q
     145: q
     146: q
     147: q
     149: q
     151: q
     153: q^2+q
     155: q
     158: q^2+q
     159: q
     161: q
     162: q
     164: q
     166: q^2+q
     174: q
     175: q
     176: q^2+q
     178: q
     179: q
     180: q^2+q
     182: q
     183: q
     184: q^2+q
     186: q
     190: q^2+q
     192: q
     196: q
     198: q
     204: q
     206: q
     208: q
     210: q^2+q
     218: q
     220: q
     223: q
     224: q
     225: q
     228: q
     229: q
     230: q
     231: q
     232: q
     234: q
     236: q^2+q
     241: q
     242: q
     262: q
     266: q
     268: q
     272: q
     274: q
     276: q
     278: q
     280: q
     284: q
     313: q
     315: q
     321: q
     323: q
     354: q
     362: q
     370: q
     386: q
     482: 1
     531: 1
     577: 1
     617: 1

618:   0: 2q^2+3q
       1: 2q^2+3q
       2: 2q^2+3q
       3: q^2+2q
       4: 2q^2+3q
       6: q^2+2q
       7: 2q^2+3q
       8: 2q^2+3q
      11: q^2+2q
      12: 2q^3+2q^2+2q
      19: 2q^2+3q
      20: q^2+2q
      21: 2q^2+3q
      23: 2q^2+3q
      24: 2q^2+3q
      25: q^2+2q
      27: 2q
      28: 2q
      30: q^2+2q
      31: 2q^2+3q
      32: 2q^2+3q
      33: 2q^2+3q
      35: 2q^2+3q
      36: 2q^2+3q
      37: 2q^2+3q
      41: 2q
      43: 2q^2+3q
      44: 2q^2+3q
      46: 2q^2+3q
      47: 2q^2+3q
      48: q^2+2q
      49: q^2+q
      50: q^2+2q
      51: q^2+q
      52: q^2+2q
      53: q^2+q
      60: 2q^2+3q
      61: 2q^2+3q
      62: q^2+2q
      64: 2q
      65: 2q
      66: q^2+2q
      68: 2q
      69: 2q
      70: q^2+2q
      72: 2q
      73: 2q
      74: q^2+2q
      78: q^2+2q
      79: q^2+q
      80: q^2+2q
      81: q^2+q
      83: 2q
      86: q
      87: q
      88: q
      90: q
      92: q
      97: 2q^2+3q
      99: 2q
     101: 2q^2+3q
     103: 2q
     108: 2q
     109: 2q
     110: q^2+2q
     112: 2q
     113: 2q
     114: q^2+2q
     116: 2q
     117: 2q
     118: q^2+2q
     120: 2q
     121: 2q
     122: q^2+2q
     128: q
     132: q^2+2q
     133: q^2+q
     136: q
     138: q
     140: q
     145: 2q
     146: q
     147: q
     149: 2q
     151: q
     153: q
     155: 2q
     158: q
     159: q
     161: 2q
     162: q
     164: q
     166: q
     174: 2q
     175: 2q
     176: q^2+2q
     178: 2q
     179: 2q
     180: q^2+2q
     182: 2q
     183: 2q
     184: q^2+2q
     186: q
     204: q
     206: q
     208: q
     210: q
     218: q
     220: q
     223: 2q
     224: q
     225: q
     228: 2q
     229: q
     230: q
     231: 2q
     232: q
     234: q
     236: q
     241: q
     242: q
     244: 1
     246: 1
     256: 2q
     257: 2q
     258: q^2+2q
     262: q
     280: q
     301: 1
     305: 1
     313: q
     315: q
     316: 1
     321: q
     323: q
     324: 1
     325: q
     327: q
     329: q
     335: 2q
     336: q
     337: q
     338: 1
     340: 1
     368: 1
     376: 1
     380: q
     389: 1
     394: 1
     398: 1
     407: 1
     412: 1
     425: q
     427: q
     428: 1
     430: 1
     439: 1
     462: 1
     472: 1
     487: 1
     489: 1
     493: 1
     509: 1
     515: 1
     532: 1
     549: 1
     561: 1
     576: 1
     618: 1

619:   0: q+1
       1: q+1
       2: q+1
       3: 1
       4: q+1
       6: 1
       7: q+1
       8: q+1
      11: 1
      12: q^2+q+1
      19: q+1
      20: 1
      21: q+1
      23: q+1
      24: q+1
      25: 1
      27: 1
      28: 1
      30: q+1
      31: q+1
      32: q+1
      33: q+1
      35: q+1
      36: q+1
      37: q+1
      41: 1
      43: q+1
      44: q+1
      46: q+1
      47: q+1
      49: q+1
      51: q+1
      53: q+1
      60: q+1
      61: q+1
      62: 1
      64: 1
      65: 1
      66: q+1
      68: 1
      69: 1
      70: q+1
      72: 1
      73: 1
      74: q+1
      79: q+1
      81: q+1
      83: 1
      86: 1
      87: 1
      89: 1
      91: 1
      93: q+1
      97: q+1
      99: 1
     101: q+1
     103: 1
     108: 1
     109: 1
     110: q+1
     112: 1
     113: 1
     114: q+1
     116: 1
     117: 1
     118: q+1
     120: 1
     121: 1
     122: q+1
     125: 1
     129: 1
     133: q+1
     137: 1
     139: 1
     141: q+1
     145: 1
     146: 1
     147: 1
     149: 1
     151: 1
     153: 1
     155: 1
     158: 1
     159: 1
     161: 1
     163: 1
     165: 1
     167: q+1
     174: 1
     175: 1
     176: q+1
     178: 1
     179: 1
     180: q+1
     182: 1
     183: 1
     184: q+1
     187: 1
     191: 1
     193: 1
     197: 1
     199: 1
     205: 1
     207: 1
     209: 1
     211: q+1
     218: 1
     220: 1
     223: 1
     224: 1
     225: 1
     228: 1
     229: 1
     230: 1
     231: 1
     233: 1
     235: 1
     237: q+1
     241: 1
     242: 1
     244: 1
     246: 1
     256: 1
     257: 1
     258: q+1
     263: 1
     267: 1
     269: 1
     273: 1
     275: 1
     277: 1
     279: 1
     281: 1
     285: 1
     302: 1
     306: 1
     313: 1
     315: 1
     316: 1
     321: 1
     323: 1
     324: 1
     326: 1
     328: 1
     330: q+1
     335: 1
     336: 1
     337: 1
     338: 1
     340: 1
     355: 1
     363: 1
     365: 1
     369: 1
     371: 1
     373: 1
     377: 1
     381: 1
     385: 1
     387: 1
     389: 1
     395: 1
     399: 1
     407: 1
     412: 1
     425: 1
     427: 1
     428: 1
     430: 1
     440: 1
     455: 1
     463: 1
     465: 1
     473: 1
     481: 1
     483: 1
     487: 1
     490: 1
     494: 1
     509: 1
     515: 1
     533: 1
     550: 1
     562: 1
     576: 1
     578: 1
     619: 1

620:   0: q^3+2q^2+q
       1: q^4+q^3+q^2+q
       2: q^3+2q^2+q
       3: q^4+q^3+q^2+q
       4: q^3+2q^2+q
       6: q^3+q
       7: q^2+q
       8: q^3+2q^2+q
      11: q^3+q
      12: q^4+2q^3+2q^2+q
      19: q^3+q^2+q
      20: q^3+q
      21: q^2+q
      23: q^3+2q^2+q
      24: q^3+2q^2+q
      25: q^3+q
      27: q^3+q^2+q
      28: q^3+q
      30: q^3+2q^2+q
      31: 2q^2+q
      32: q^2+q
      33: 2q^2+q
      35: 2q^2+q
      36: q^2+q
      37: 2q^2+q
      41: q^3+q
      43: q^2+q
      44: 2q^2+q
      46: q^2+q
      47: 2q^2+q
      49: 2q^2+q
      51: q^2+q
      53: 2q^2+q
      60: q^3+q^2+q
      61: q^2+q
      62: q^3+q
      64: q^3+q^2+q
      65: q^3+q
      66: q^3+2q^2+q
      68: q^2+q
      69: q
      70: 2q^2+q
      72: q^2+q
      73: q
      74: 2q^2+q
      79: q^2+q
      81: 2q^2+q
      83: q^3+q
      86: q^2+q
      87: q^2+q
      89: q^2+q
      91: q
      93: 2q^2+q
      97: q^2+q
      99: q
     101: q^2+q
     103: q
     108: q
     109: q
     110: q^2+q
     112: q^2+q
     113: q
     114: 2q^2+q
     116: q^2+q
     117: q
     118: 2q^2+q
     120: q
     121: q
     122: q^2+q
     125: q^2+q
     129: q
     133: q^2+q
     137: q^2+q
     139: q
     141: 2q^2+q
     145: q
     146: q
     147: q
     149: q
     151: q
     153: q^2+q
     155: q
     158: q^2+q
     159: q
     161: q
     163: q
     165: q
     167: q^2+q
     174: q
     175: q
     176: q^2+q
     178: q
     179: q
     180: q^2+q
     182: q
     183: q
     184: q^2+q
     187: q
     191: q^2+q
     193: q
     197: q
     199: q
     205: q
     207: q
     209: q
     211: q^2+q
     218: q
     220: q
     223: q
     224: q
     225: q
     228: q
     229: q
     230: q
     231: q
     233: q
     235: q
     237: q^2+q
     241: q
     242: q
     263: q
     267: q
     269: q
     273: q
     275: q
     277: q
     279: q
     281: q
     285: q
     313: q
     315: q
     321: q
     323: q
     355: q
     363: q
     371: q
     387: q
     483: 1
     534: 1
     578: 1
     620: 1

621:   0: 1
       1: 1
       2: q^2+q+1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
       8: q^2+q+1
       9: 1
      10: 1
      12: q^2+q+1
      15: 1
      16: 1
      17: 1
      19: 1
      20: 1
      21: 1
      23: 1
      24: 1
      27: 1
      28: 1
      29: 1
      30: q^2+q+1
      31: 1
      32: 1
      33: q^2+q+1
      34: 1
      35: 1
      36: 1
      37: q^2+q+1
      38: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      48: 1
      50: 1
      52: q^2+q+1
      54: 1
      56: 1
      57: 1
      58: 1
      60: 1
      61: 1
      64: 1
      66: 1
      68: 1
      69: 1
      70: q^2+q+1
      71: 1
      72: 1
      73: 1
      74: q^2+q+1
      75: 1
      76: 1
      78: 1
      80: 1
      84: 1
      86: 1
      87: 1
      88: 1
      90: 1
      92: q^2+q+1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     108: 1
     110: 1
     112: 1
     114: 1
     116: 1
     118: 1
     120: 1
     121: 1
     122: q^2+q+1
     123: 1
     124: 1
     126: 1
     128: 1
     130: 1
     132: 1
     136: 1
     140: 1
     146: 1
     147: 1
     148: 1
     151: 1
     152: 1
     153: 1
     154: 1
     157: 1
     158: 1
     159: 1
     160: 1
     161: 1
     162: 1
     164: 1
     166: q^2+q+1
     168: 1
     170: 1
     172: 1
     174: 1
     176: 1
     178: 1
     180: 1
     182: 1
     184: 1
     190: 1
     192: 1
     194: 1
     196: 1
     198: 1
     200: 1
     202: 1
     204: 1
     206: 1
     210: 1
     217: 1
     219: 1
     224: 1
     225: 1
     229: 1
     230: 1
     232: 1
     236: 1
     241: 1
     242: 1
     243: 1
     244: 1
     246: 1
     248: 1
     250: 1
     252: 1
     254: 1
     256: 1
     258: 1
     266: 1
     270: 1
     272: 1
     274: 1
     276: 1
     278: 1
     284: 1
     286: 1
     288: 1
     292: 1
     301: 1
     305: 1
     312: 1
     314: 1
     316: 1
     320: 1
     322: 1
     324: 1
     325: 1
     329: 1
     336: 1
     337: 1
     338: 1
     340: 1
     342: 1
     344: 1
     352: 1
     364: 1
     366: 1
     368: 1
     372: 1
     374: 1
     376: 1
     384: 1
     386: 1
     388: 1
     394: 1
     398: 1
     407: 1
     412: 1
     413: 1
     417: 1
     424: 1
     426: 1
     432: 1
     434: 1
     436: 1
     458: 1
     462: 1
     468: 1
     472: 1
     482: 1
     484: 1
     486: 1
     499: 1
     503: 1
     513: 1
     519: 1
     529: 1
     559: 1
     571: 1
     581: 1
     585: 1
     621: 1

622:   0: 3q
       1: 3q
       2: 2q^3+3q^2+3q
       3: q^2+2q
       4: 3q
       5: 3q
       6: q^2+2q
       7: 3q
       8: 2q^3+3q^2+3q
       9: q^2+2q
      10: 3q
      12: q^4+2q^3+3q^2+2q
      15: 3q
      16: q^2+2q
      17: 3q
      19: 3q
      20: q^2+2q
      21: 3q
      23: 3q
      24: 3q
      27: 2q
      28: 2q
      29: 2q
      30: q^3+2q^2+2q
      31: 3q
      32: 3q
      33: 2q^3+3q^2+3q
      34: 3q
      35: 3q
      36: 3q
      37: 2q^3+3q^2+3q
      38: 3q
      40: 2q
      41: 2q
      42: 3q
      43: 3q
      44: 3q
      45: 3q
      46: 3q
      47: 3q
      48: q
      49: 2q
      50: q
      51: 2q
      52: q^3+q^2+q
      53: q^3+2q^2+2q
      54: q
      55: 2q
      56: 3q
      57: q^2+2q
      58: 3q
      60: 3q
      61: 3q
      64: 2q
      66: 2q
      68: 2q
      69: 2q
      70: q^3+2q^2+2q
      71: 2q
      72: 2q
      73: 2q
      74: q^3+2q^2+2q
      75: 2q
      76: q
      77: 2q
      78: q
      79: 2q
      80: q
      81: 2q
      84: 2q
      86: q
      87: q
      89: q
      91: q
      93: q^2+q
      95: q
      96: 3q
      97: 3q
      98: 2q
      99: 2q
     100: 3q
     101: 3q
     102: 2q
     103: 2q
     104: 3q
     105: 3q
     108: 2q
     110: 2q
     112: 2q
     114: 2q
     116: 2q
     118: 2q
     120: 2q
     121: 2q
     122: q^3+2q^2+2q
     123: 2q
     127: q
     129: q
     130: q
     131: 2q
     132: q
     133: 2q
     137: q
     141: q
     146: q
     147: q
     148: 3q
     151: q
     152: 2q
     153: q
     154: 3q
     157: 2q
     158: q
     159: q
     160: 2q
     161: 2q
     163: q
     165: q
     167: q^2+q
     169: q
     170: 2q
     172: 2q
     174: 2q
     176: 2q
     178: 2q
     180: 2q
     182: 2q
     184: 2q
     195: q
     200: q
     201: 2q
     203: q
     205: q
     207: q
     211: q
     217: q
     219: q
     224: q
     225: q
     229: q
     230: q
     233: q
     237: q
     241: q
     242: q
     243: 2q
     244: 1
     246: 1
     248: 2q
     250: 2q
     252: 2q
     254: 2q
     256: 2q
     258: 2q
     287: q
     289: q
     293: q
     302: 1
     306: 1
     312: q
     314: q
     316: 1
     320: q
     322: q
     324: 1
     326: q
     330: q
     336: q
     337: q
     338: 1
     340: 1
     342: 2q
     344: 2q
     369: 1
     377: 1
     388: 1
     395: 1
     399: 1
     407: 1
     412: 1
     414: q
     418: q
     424: q
     426: q
     432: 1
     434: 1
     437: 1
     463: 1
     473: 1
     486: 1
     500: 1
     504: 1
     513: 1
     519: 1
     530: 1
     560: 1
     572: 1
     585: 1
     622: 1

623:   0: q^3+q
       1: q^3+q
       2: q^2+q
       3: q^3+q
       4: q
       5: q^3+q
       6: q^3+q
       7: q
       8: q^3+q^2+q
       9: q^3+q
      10: q
      12: q^3+q^2+q
      15: q^3+q
      16: q^3+q
      17: q
      19: q^3+q
      20: q^3+q
      21: q
      23: q
      24: q
      27: q^3+q
      28: q^3+q
      29: q^3+q
      30: q^3+q^2+q
      31: q
      32: q
      33: q^2+q
      34: q
      35: q
      36: q
      37: q^2+q
      38: q
      40: q^3+q
      41: q^3+q
      42: q
      43: q
      44: q
      45: q
      46: q
      47: q
      48: q
      50: q
      52: q^2+q
      54: q
      56: q^3+q
      57: q^3+q
      58: q
      60: q
      61: q
      64: q
      66: q
      68: q
      69: q
      70: q^2+q
      71: q
      72: q
      73: q
      74: q^2+q
      75: q
      76: q
      78: q
      80: q
      84: q^3+q
      86: q
      87: q
      88: q
      90: q
      92: q^2+q
      94: q
      96: q
      97: q
      98: q
      99: q
     100: q
     101: q
     102: q
     103: q
     104: q
     105: q
     108: q
     110: q
     112: q
     114: q
     116: q
     118: q
     120: q
     121: q
     122: q^2+q
     123: q
     124: q
     126: q
     128: q
     130: q
     132: q
     136: q
     140: q
     146: q
     147: q
     148: q
     151: q
     152: q
     153: q
     154: q
     157: q
     158: q
     159: q
     160: q
     161: q
     162: q
     164: q
     166: q^2+q
     168: q
     170: q
     172: q
     174: q
     176: q
     178: q
     180: q
     190: q
     192: q
     194: q
     196: q
     198: q
     200: q
     202: q
     204: q
     206: q
     210: q
     217: q
     219: q
     224: q
     225: q
     229: q
     230: q
     243: q
     248: q
     250: q
     252: q
     254: q
     266: q
     270: q
     274: q
     278: q
     286: q
     288: q
     292: q
     312: q
     314: q
     320: q
     322: q
     352: q
     366: q
     374: q
     386: 1
     438: 1
     482: 1
     531: 1
     581: 1
     623: 1

624:   0: 3q
       1: 3q
       2: 2q^3+3q^2+3q
       3: q^2+2q
       4: 3q
       5: 3q
       6: q^2+2q
       7: 3q
       8: 2q^3+3q^2+3q
       9: q^2+2q
      10: 3q
      12: q^4+2q^3+3q^2+2q
      15: 3q
      16: q^2+2q
      17: 3q
      19: 3q
      20: q^2+2q
      21: 3q
      23: 3q
      24: 3q
      27: 2q
      28: 2q
      29: 2q
      30: q^3+2q^2+2q
      31: 3q
      32: 3q
      33: 2q^3+3q^2+3q
      34: 3q
      35: 3q
      36: 3q
      37: 2q^3+3q^2+3q
      38: 3q
      40: 2q
      41: 2q
      42: 3q
      43: 3q
      44: 3q
      45: 3q
      46: 3q
      47: 3q
      48: 2q
      49: q
      50: 2q
      51: q
      52: q^3+2q^2+2q
      53: q^3+q^2+q
      54: 2q
      55: q
      56: 3q
      57: q^2+2q
      58: 3q
      60: 3q
      61: 3q
      64: 2q
      66: 2q
      68: 2q
      69: 2q
      70: q^3+2q^2+2q
      71: 2q
      72: 2q
      73: 2q
      74: q^3+2q^2+2q
      75: 2q
      76: 2q
      77: q
      78: 2q
      79: q
      80: 2q
      81: q
      84: 2q
      86: q
      87: q
      88: q
      90: q
      92: q^2+q
      94: q
      96: 3q
      97: 3q
      98: 2q
      99: 2q
     100: 3q
     101: 3q
     102: 2q
     103: 2q
     104: 3q
     105: 3q
     108: 2q
     110: 2q
     112: 2q
     114: 2q
     116: 2q
     118: 2q
     120: 2q
     121: 2q
     122: q^3+2q^2+2q
     123: 2q
     126: q
     128: q
     130: 2q
     131: q
     132: 2q
     133: q
     136: q
     140: q
     146: q
     147: q
     148: 3q
     151: q
     152: 2q
     153: q
     154: 3q
     157: 2q
     158: q
     159: q
     160: 2q
     161: 2q
     162: q
     164: q
     166: q^2+q
     168: q
     170: 2q
     172: 2q
     174: 2q
     176: 2q
     178: 2q
     180: 2q
     182: 2q
     184: 2q
     194: q
     200: 2q
     201: q
     202: q
     204: q
     206: q
     210: q
     217: q
     219: q
     224: q
     225: q
     229: q
     230: q
     232: q
     236: q
     241: q
     242: q
     243: 2q
     244: 1
     246: 1
     248: 2q
     250: 2q
     252: 2q
     254: 2q
     256: 2q
     258: 2q
     286: q
     288: q
     292: q
     301: 1
     305: 1
     312: q
     314: q
     316: 1
     320: q
     322: q
     324: 1
     325: q
     329: q
     336: q
     337: q
     338: 1
     340: 1
     342: 2q
     344: 2q
     368: 1
     376: 1
     389: 1
     394: 1
     398: 1
     407: 1
     412: 1
     413: q
     417: q
     424: q
     426: q
     432: 1
     434: 1
     439: 1
     462: 1
     472: 1
     487: 1
     499: 1
     503: 1
     513: 1
     519: 1
     532: 1
     559: 1
     571: 1
     586: 1
     624: 1

625:   0: 1
       1: 1
       2: q^2+q+1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
       8: q^2+q+1
       9: 1
      10: 1
      12: q^2+q+1
      15: 1
      16: 1
      17: 1
      19: 1
      20: 1
      21: 1
      23: 1
      24: 1
      27: 1
      28: 1
      29: 1
      30: q^2+q+1
      31: 1
      32: 1
      33: q^2+q+1
      34: 1
      35: 1
      36: 1
      37: q^2+q+1
      38: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      49: 1
      51: 1
      53: q^2+q+1
      55: 1
      56: 1
      57: 1
      58: 1
      60: 1
      61: 1
      64: 1
      66: 1
      68: 1
      69: 1
      70: q^2+q+1
      71: 1
      72: 1
      73: 1
      74: q^2+q+1
      75: 1
      77: 1
      79: 1
      81: 1
      84: 1
      86: 1
      87: 1
      89: 1
      91: 1
      93: q^2+q+1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     108: 1
     110: 1
     112: 1
     114: 1
     116: 1
     118: 1
     120: 1
     121: 1
     122: q^2+q+1
     123: 1
     125: 1
     127: 1
     129: 1
     131: 1
     133: 1
     137: 1
     141: 1
     146: 1
     147: 1
     148: 1
     151: 1
     152: 1
     153: 1
     154: 1
     157: 1
     158: 1
     159: 1
     160: 1
     161: 1
     163: 1
     165: 1
     167: q^2+q+1
     169: 1
     170: 1
     172: 1
     174: 1
     176: 1
     178: 1
     180: 1
     182: 1
     184: 1
     191: 1
     193: 1
     195: 1
     197: 1
     199: 1
     201: 1
     203: 1
     205: 1
     207: 1
     211: 1
     217: 1
     219: 1
     224: 1
     225: 1
     229: 1
     230: 1
     233: 1
     237: 1
     241: 1
     242: 1
     243: 1
     244: 1
     246: 1
     248: 1
     250: 1
     252: 1
     254: 1
     256: 1
     258: 1
     267: 1
     271: 1
     273: 1
     275: 1
     277: 1
     279: 1
     285: 1
     287: 1
     289: 1
     293: 1
     302: 1
     306: 1
     312: 1
     314: 1
     316: 1
     320: 1
     322: 1
     324: 1
     326: 1
     330: 1
     336: 1
     337: 1
     338: 1
     340: 1
     342: 1
     344: 1
     353: 1
     365: 1
     367: 1
     369: 1
     373: 1
     375: 1
     377: 1
     385: 1
     387: 1
     389: 1
     395: 1
     399: 1
     407: 1
     412: 1
     414: 1
     418: 1
     424: 1
     426: 1
     432: 1
     434: 1
     440: 1
     459: 1
     463: 1
     469: 1
     473: 1
     483: 1
     485: 1
     487: 1
     500: 1
     504: 1
     513: 1
     519: 1
     533: 1
     560: 1
     572: 1
     582: 1
     586: 1
     625: 1

626:   0: q^3+q
       1: q^3+q
       2: q^2+q
       3: q^3+q
       4: q
       5: q^3+q
       6: q^3+q
       7: q
       8: q^3+q^2+q
       9: q^3+q
      10: q
      12: q^3+q^2+q
      15: q^3+q
      16: q^3+q
      17: q
      19: q^3+q
      20: q^3+q
      21: q
      23: q
      24: q
      27: q^3+q
      28: q^3+q
      29: q^3+q
      30: q^3+q^2+q
      31: q
      32: q
      33: q^2+q
      34: q
      35: q
      36: q
      37: q^2+q
      38: q
      40: q^3+q
      41: q^3+q
      42: q
      43: q
      44: q
      45: q
      46: q
      47: q
      49: q
      51: q
      53: q^2+q
      55: q
      56: q^3+q
      57: q^3+q
      58: q
      60: q
      61: q
      64: q
      66: q
      68: q
      69: q
      70: q^2+q
      71: q
      72: q
      73: q
      74: q^2+q
      75: q
      77: q
      79: q
      81: q
      84: q^3+q
      86: q
      87: q
      89: q
      91: q
      93: q^2+q
      95: q
      96: q
      97: q
      98: q
      99: q
     100: q
     101: q
     102: q
     103: q
     104: q
     105: q
     108: q
     110: q
     112: q
     114: q
     116: q
     118: q
     120: q
     121: q
     122: q^2+q
     123: q
     125: q
     127: q
     129: q
     131: q
     133: q
     137: q
     141: q
     146: q
     147: q
     148: q
     151: q
     152: q
     153: q
     154: q
     157: q
     158: q
     159: q
     160: q
     161: q
     163: q
     165: q
     167: q^2+q
     169: q
     170: q
     172: q
     174: q
     176: q
     178: q
     180: q
     191: q
     193: q
     195: q
     197: q
     199: q
     201: q
     203: q
     205: q
     207: q
     211: q
     217: q
     219: q
     224: q
     225: q
     229: q
     230: q
     243: q
     248: q
     250: q
     252: q
     254: q
     267: q
     271: q
     275: q
     279: q
     287: q
     289: q
     293: q
     312: q
     314: q
     320: q
     322: q
     353: q
     367: q
     375: q
     387: 1
     441: 1
     483: 1
     534: 1
     582: 1
     626: 1

627:   0: q+1
       1: q^2+2q+1
       2: q+1
       3: q^2+2q+1
       4: q+1
       5: q^2+2q+1
       6: 3q+1
       7: q^2+2q+1
       8: q+1
       9: 3q+1
      10: q^2+2q+1
      11: 3q+1
      13: 3q+1
      14: q^2+2q+1
      15: q^2+2q+1
      16: 3q+1
      17: q^2+2q+1
      18: 3q+1
      19: q+1
      20: 2q+1
      21: q+1
      22: 2q+1
      23: q+1
      24: q+1
      25: 3q+1
      26: 3q+1
      27: q+1
      28: 2q+1
      29: 2q+1
      31: q+1
      32: q^2+2q+1
      33: q+1
      34: q^2+2q+1
      35: q+1
      36: q^2+2q+1
      37: q+1
      38: q^2+2q+1
      39: 3q+1
      40: 2q+1
      41: q+1
      42: q^2+2q+1
      43: q+1
      44: q+1
      45: q^2+2q+1
      46: q+1
      47: q+1
      48: q+1
      50: q^2+2q+1
      52: q+1
      54: q^2+2q+1
      56: q+1
      57: 2q+1
      58: q+1
      59: 2q+1
      60: q+1
      61: q+1
      62: 2q+1
      63: 2q+1
      64: q+1
      65: 2q+1
      67: 2q+1
      68: q+1
      69: 2q+1
      71: 2q+1
      72: q+1
      73: 2q+1
      75: 2q+1
      76: q^2+2q+1
      78: q+1
      80: q+1
      82: q+1
      83: q+1
      84: q+1
      85: 2q+1
      88: q+1
      90: 2q+1
      94: 2q+1
      96: q+1
      97: q+1
      98: 2q+1
      99: q+1
     100: q+1
     101: q+1
     102: 2q+1
     103: q+1
     104: q+1
     105: q+1
     106: 2q+1
     107: 2q+1
     108: 1
     109: 1
     111: q+1
     112: q+1
     113: 2q+1
     115: 2q+1
     116: q+1
     117: 2q+1
     119: 2q+1
     120: q+1
     121: 2q+1
     123: 2q+1
     126: 2q+1
     128: q+1
     130: q+1
     132: q+1
     134: q+1
     135: q+1
     136: q+1
     138: 2q+1
     142: 2q+1
     144: 1
     145: 1
     148: q+1
     149: q+1
     150: 2q+1
     152: q+1
     154: q+1
     155: q+1
     156: 2q+1
     157: q+1
     160: 2q+1
     161: q+1
     162: q+1
     164: 2q+1
     168: 2q+1
     170: 1
     171: 1
     173: q+1
     174: 1
     175: 1
     177: q+1
     178: 1
     179: 1
     181: q+1
     182: q+1
     183: 2q+1
     185: 2q+1
     186: q+1
     188: 2q+1
     194: q+1
     200: q+1
     202: 2q+1
     204: q+1
     206: 1
     208: 1
     212: q+1
     214: 1
     215: 1
     216: 1
     221: q+1
     222: 1
     223: 1
     226: q+1
     227: 1
     228: 1
     231: q+1
     232: q+1
     234: 2q+1
     238: 2q+1
     240: 2q+1
     243: q+1
     245: q+1
     247: q+1
     248: 1
     249: 1
     251: q+1
     252: 1
     253: 1
     255: q+1
     256: 1
     257: 1
     259: q+1
     260: 1
     262: 1
     264: q+1
     280: q+1
     282: 2q+1
     286: q+1
     288: 1
     290: 1
     294: q+1
     296: 1
     300: q+1
     303: q+1
     307: q+1
     309: 1
     310: 1
     311: 1
     317: 1
     318: 1
     319: 1
     325: 1
     327: 1
     331: q+1
     333: q+1
     334: 1
     335: 1
     339: 1
     341: 1
     342: 1
     343: 1
     345: q+1
     346: 1
     348: 1
     350: 1
     360: q+1
     378: 1
     380: 1
     382: q+1
     393: 1
     396: 1
     400: 1
     403: 1
     408: 1
     413: 1
     415: 1
     419: q+1
     421: 1
     422: 1
     423: 1
     429: 1
     431: 1
     433: 1
     435: 1
     442: 1
     452: 1
     474: 1
     476: 1
     478: 1
     488: 1
     491: 1
     495: 1
     501: 1
     505: 1
     507: 1
     521: 1
     526: 1
     528: 1
     535: 1
     545: 1
     573: 1
     589: 1
     593: 1
     595: 1
     627: 1

628:   0: q+1
       1: q^2+2q+1
       2: q+1
       3: q^2+2q+1
       4: q+1
       5: q^2+2q+1
       6: 3q+1
       7: q^2+2q+1
       8: q+1
       9: 3q+1
      10: q^2+2q+1
      11: 3q+1
      13: 3q+1
      14: q^2+2q+1
      15: q^2+2q+1
      16: 3q+1
      17: q^2+2q+1
      18: 3q+1
      19: q+1
      20: 2q+1
      21: q+1
      22: 2q+1
      23: q+1
      24: q+1
      25: 3q+1
      26: 3q+1
      27: q+1
      28: 2q+1
      29: 2q+1
      31: q+1
      32: q^2+2q+1
      33: q+1
      34: q^2+2q+1
      35: q+1
      36: q^2+2q+1
      37: q+1
      38: q^2+2q+1
      39: 3q+1
      40: 2q+1
      41: q+1
      42: q^2+2q+1
      43: q+1
      44: q+1
      45: q^2+2q+1
      46: q+1
      47: q+1
      49: q+1
      51: q^2+2q+1
      53: q+1
      55: q^2+2q+1
      56: q+1
      57: 2q+1
      58: q+1
      59: 2q+1
      60: q+1
      61: q+1
      62: 2q+1
      63: 2q+1
      64: q+1
      65: 2q+1
      67: 2q+1
      68: q+1
      69: 2q+1
      71: 2q+1
      72: q+1
      73: 2q+1
      75: 2q+1
      77: q^2+2q+1
      79: q+1
      81: q+1
      82: q+1
      83: q+1
      84: q+1
      85: 2q+1
      89: q+1
      91: 2q+1
      95: 2q+1
      96: q+1
      97: q+1
      98: 2q+1
      99: q+1
     100: q+1
     101: q+1
     102: 2q+1
     103: q+1
     104: q+1
     105: q+1
     106: 2q+1
     107: 2q+1
     108: 1
     109: 1
     111: q+1
     112: q+1
     113: 2q+1
     115: 2q+1
     116: q+1
     117: 2q+1
     119: 2q+1
     120: q+1
     121: 2q+1
     123: 2q+1
     127: 2q+1
     129: q+1
     131: q+1
     133: q+1
     134: q+1
     135: q+1
     137: q+1
     139: 2q+1
     143: 2q+1
     144: 1
     145: 1
     148: q+1
     149: q+1
     150: 2q+1
     152: q+1
     154: q+1
     155: q+1
     156: 2q+1
     157: q+1
     160: 2q+1
     161: q+1
     163: q+1
     165: 2q+1
     169: 2q+1
     170: 1
     171: 1
     173: q+1
     174: 1
     175: 1
     177: q+1
     178: 1
     179: 1
     181: q+1
     182: q+1
     183: 2q+1
     185: 2q+1
     187: q+1
     189: 2q+1
     195: q+1
     201: q+1
     203: 2q+1
     205: q+1
     207: 1
     209: 1
     213: q+1
     214: 1
     215: 1
     216: 1
     221: q+1
     222: 1
     223: 1
     226: q+1
     227: 1
     228: 1
     231: q+1
     233: q+1
     235: 2q+1
     239: 2q+1
     240: 2q+1
     243: q+1
     245: q+1
     247: q+1
     248: 1
     249: 1
     251: q+1
     252: 1
     253: 1
     255: q+1
     256: 1
     257: 1
     259: q+1
     261: 1
     263: 1
     265: q+1
     281: q+1
     283: 2q+1
     287: q+1
     289: 1
     291: 1
     295: q+1
     296: 1
     300: q+1
     304: q+1
     308: q+1
     309: 1
     310: 1
     311: 1
     317: 1
     318: 1
     319: 1
     326: 1
     328: 1
     332: q+1
     333: q+1
     334: 1
     335: 1
     339: 1
     341: 1
     342: 1
     343: 1
     345: q+1
     347: 1
     349: 1
     351: 1
     361: q+1
     379: 1
     381: 1
     383: q+1
     393: 1
     397: 1
     401: 1
     403: 1
     408: 1
     414: 1
     416: 1
     420: q+1
     421: 1
     422: 1
     423: 1
     429: 1
     431: 1
     433: 1
     435: 1
     443: 1
     453: 1
     475: 1
     477: 1
     479: 1
     488: 1
     492: 1
     496: 1
     502: 1
     506: 1
     507: 1
     521: 1
     526: 1
     528: 1
     536: 1
     546: 1
     574: 1
     590: 1
     594: 1
     595: 1
     628: 1

629:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: 1
       5: q^2+1
       6: q+1
       7: 1
       8: 1
       9: q^2+1
      10: q^3+q^2+1
      11: q+1
      12: 1
      13: q^2+1
      14: q^2+1
      15: 1
      16: 1
      17: 1
      18: 1
      19: q+1
      20: q+1
      21: 1
      22: q^2+1
      23: q+1
      24: 1
      25: q+1
      26: q^2+1
      27: q+1
      28: q+1
      29: q^2+1
      30: 1
      31: 1
      32: 1
      33: 1
      34: q^2+1
      35: 1
      36: 1
      37: 1
      38: q^2+1
      39: 1
      40: 1
      41: q+1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      48: 1
      50: 1
      52: 1
      54: q^2+1
      56: 1
      57: 1
      58: 1
      59: 1
      60: q+1
      61: 1
      62: q+1
      63: q^2+1
      64: q+1
      65: q+1
      66: 1
      67: q^2+1
      68: 1
      69: 1
      70: 1
      71: q^2+1
      72: 1
      73: 1
      74: 1
      75: q^2+1
      76: 1
      78: 1
      80: 1
      82: 1
      83: q+1
      84: 1
      85: 1
      86: 1
      87: 1
      88: 1
      90: 1
      92: 1
      94: q^2+1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: q+1
     109: q+1
     110: 1
     111: q^2+1
     112: 1
     113: 1
     114: 1
     115: q^2+1
     116: 1
     117: 1
     118: 1
     119: q^2+1
     120: 1
     121: 1
     123: 1
     124: 1
     126: 1
     128: 1
     130: 1
     132: 1
     134: 1
     135: 1
     136: 1
     138: 1
     140: 1
     142: q^2+1
     144: 1
     145: q+1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     152: 1
     153: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     160: 1
     161: 1
     162: 1
     164: 1
     168: 1
     170: 1
     171: 1
     172: 1
     173: 1
     174: 1
     175: 1
     176: 1
     177: q^2+1
     178: 1
     179: 1
     180: 1
     181: q^2+1
     182: 1
     183: 1
     185: 1
     186: 1
     188: 1
     190: 1
     192: 1
     194: 1
     200: 1
     202: 1
     204: 1
     206: 1
     208: 1
     210: 1
     212: q^2+1
     214: 1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     223: 1
     225: 1
     226: 1
     227: 1
     228: 1
     229: 1
     231: 1
     232: 1
     234: 1
     238: 1
     240: 1
     243: 1
     244: 1
     245: 1
     247: 1
     256: 1
     257: 1
     259: 1
     260: 1
     262: 1
     264: 1
     266: 1
     268: 1
     270: 1
     280: 1
     282: 1
     286: 1
     296: 1
     297: 1
     298: 1
     299: 1
     300: 1
     301: 1
     303: 1
     307: 1
     309: 1
     315: 1
     317: 1
     321: 1
     325: 1
     327: 1
     331: 1
     333: 1
     334: 1
     335: 1
     338: 1
     339: 1
     341: 1
     350: 1
     354: 1
     356: 1
     358: 1
     360: 1
     378: 1
     380: 1
     382: 1
     390: 1
     391: 1
     392: 1
     393: 1
     394: 1
     396: 1
     400: 1
     402: 1
     421: 1
     428: 1
     429: 1
     431: 1
     444: 1
     448: 1
     450: 1
     452: 1
     478: 1
     488: 1
     489: 1
     491: 1
     495: 1
     497: 1
     498: 1
     535: 1
     539: 1
     541: 1
     596: 1
     629: 1

630:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: 1
       5: q^2+1
       6: q+1
       7: 1
       8: 1
       9: q^2+1
      10: q^3+q^2+1
      11: q+1
      12: 1
      13: q^2+1
      14: q^2+1
      15: 1
      16: 1
      17: 1
      18: 1
      19: q+1
      20: q+1
      21: 1
      22: q^2+1
      23: q+1
      24: 1
      25: q+1
      26: q^2+1
      27: q+1
      28: q+1
      29: q^2+1
      30: 1
      31: 1
      32: 1
      33: 1
      34: q^2+1
      35: 1
      36: 1
      37: 1
      38: q^2+1
      39: 1
      40: 1
      41: q+1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      49: 1
      51: 1
      53: 1
      55: q^2+1
      56: 1
      57: 1
      58: 1
      59: 1
      60: q+1
      61: 1
      62: q+1
      63: q^2+1
      64: q+1
      65: q+1
      66: 1
      67: q^2+1
      68: 1
      69: 1
      70: 1
      71: q^2+1
      72: 1
      73: 1
      74: 1
      75: q^2+1
      77: 1
      79: 1
      81: 1
      82: 1
      83: q+1
      84: 1
      85: 1
      86: 1
      87: 1
      89: 1
      91: 1
      93: 1
      95: q^2+1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: q+1
     109: q+1
     110: 1
     111: q^2+1
     112: 1
     113: 1
     114: 1
     115: q^2+1
     116: 1
     117: 1
     118: 1
     119: q^2+1
     120: 1
     121: 1
     123: 1
     125: 1
     127: 1
     129: 1
     131: 1
     133: 1
     134: 1
     135: 1
     137: 1
     139: 1
     141: 1
     143: q^2+1
     144: 1
     145: q+1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     152: 1
     153: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     160: 1
     161: 1
     163: 1
     165: 1
     169: 1
     170: 1
     171: 1
     172: 1
     173: 1
     174: 1
     175: 1
     176: 1
     177: q^2+1
     178: 1
     179: 1
     180: 1
     181: q^2+1
     182: 1
     183: 1
     185: 1
     187: 1
     189: 1
     191: 1
     193: 1
     195: 1
     201: 1
     203: 1
     205: 1
     207: 1
     209: 1
     211: 1
     213: q^2+1
     214: 1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     223: 1
     225: 1
     226: 1
     227: 1
     228: 1
     229: 1
     231: 1
     233: 1
     235: 1
     239: 1
     240: 1
     243: 1
     244: 1
     245: 1
     247: 1
     256: 1
     257: 1
     259: 1
     261: 1
     263: 1
     265: 1
     267: 1
     269: 1
     271: 1
     281: 1
     283: 1
     287: 1
     296: 1
     297: 1
     298: 1
     299: 1
     300: 1
     302: 1
     304: 1
     308: 1
     309: 1
     315: 1
     317: 1
     321: 1
     326: 1
     328: 1
     332: 1
     333: 1
     334: 1
     335: 1
     338: 1
     339: 1
     341: 1
     351: 1
     355: 1
     357: 1
     359: 1
     361: 1
     379: 1
     381: 1
     383: 1
     390: 1
     391: 1
     392: 1
     393: 1
     395: 1
     397: 1
     401: 1
     402: 1
     421: 1
     428: 1
     429: 1
     431: 1
     445: 1
     449: 1
     451: 1
     453: 1
     479: 1
     488: 1
     490: 1
     492: 1
     496: 1
     497: 1
     498: 1
     536: 1
     540: 1
     542: 1
     596: 1
     630: 1

631:   0: q^2+2q+1
       1: q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q+1
       5: q+1
       6: q+1
       7: 1
       8: q+1
       9: q+1
      10: 1
      11: q+1
      12: q+1
      13: q+1
      15: q+1
      16: q+1
      17: 1
      18: q+1
      19: q+1
      20: q+1
      21: 1
      23: q^2+2q+1
      24: q+1
      25: q+1
      26: q+1
      27: q^2+2q+1
      28: q+1
      29: q+1
      30: q+1
      31: q+1
      32: 1
      33: q+1
      34: 1
      35: q+1
      36: 1
      37: q+1
      38: 1
      39: q+1
      40: q+1
      41: q+1
      42: 1
      43: 1
      44: q+1
      45: 1
      46: 1
      47: q+1
      48: q+1
      50: 1
      52: q+1
      54: 1
      56: q+1
      57: q+1
      58: 1
      60: q+1
      61: 1
      62: q+1
      64: q^2+2q+1
      65: q+1
      66: q+1
      67: q+1
      68: q+1
      69: 1
      70: q+1
      71: 1
      72: q+1
      73: 1
      74: q+1
      75: 1
      76: 1
      78: 1
      80: q+1
      83: q+1
      84: q+1
      85: q+1
      86: q+1
      87: q+1
      88: q+1
      90: 1
      92: q+1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: q+1
     105: 1
     106: q+1
     108: q+1
     109: q+1
     110: 1
     112: q+1
     113: 1
     114: q+1
     115: 1
     116: q+1
     117: 1
     118: q+1
     119: 1
     120: q+1
     121: 1
     123: 1
     124: q+1
     126: 1
     128: 1
     130: 1
     132: 1
     135: q+1
     136: q+1
     138: 1
     140: q+1
     142: 1
     145: q+1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     152: 1
     153: q+1
     154: 1
     155: 1
     156: 1
     157: 1
     158: q+1
     160: 1
     161: 1
     162: q+1
     164: 1
     168: 1
     170: q+1
     171: q+1
     172: 1
     174: 1
     175: 1
     176: 1
     178: 1
     179: 1
     180: 1
     182: q+1
     183: 1
     185: 1
     186: 1
     188: 1
     190: q+1
     192: 1
     194: 1
     200: 1
     202: 1
     204: 1
     206: 1
     208: 1
     210: 1
     216: q+1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     223: 1
     225: 1
     226: 1
     228: 1
     229: 1
     231: 1
     232: q+1
     234: 1
     238: 1
     240: 1
     243: 1
     244: q+1
     245: 1
     247: 1
     248: 1
     249: 1
     250: 1
     252: 1
     253: 1
     254: 1
     256: 1
     257: 1
     262: 1
     264: 1
     266: 1
     268: 1
     270: 1
     280: 1
     282: 1
     286: 1
     288: 1
     290: 1
     292: 1
     297: 1
     298: 1
     299: 1
     300: 1
     301: q+1
     303: 1
     307: 1
     311: 1
     314: 1
     315: 1
     319: 1
     320: 1
     321: 1
     325: 1
     327: 1
     333: 1
     335: 1
     338: 1
     339: 1
     342: 1
     343: 1
     348: 1
     352: 1
     354: 1
     356: 1
     358: 1
     360: 1
     380: 1
     382: 1
     392: 1
     394: 1
     396: 1
     402: 1
     405: 1
     409: 1
     413: 1
     415: 1
     423: 1
     428: 1
     429: 1
     432: 1
     433: 1
     446: 1
     448: 1
     450: 1
     476: 1
     489: 1
     491: 1
     497: 1
     499: 1
     501: 1
     508: 1
     525: 1
     526: 1
     539: 1
     543: 1
     587: 1
     589: 1
     597: 1
     631: 1

632:   0: q^2+2q+1
       1: q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q+1
       5: q+1
       6: q+1
       7: 1
       8: q+1
       9: q+1
      10: 1
      11: q+1
      12: q+1
      13: q+1
      15: q+1
      16: q+1
      17: 1
      18: q+1
      19: q+1
      20: q+1
      21: 1
      23: q^2+2q+1
      24: q+1
      25: q+1
      26: q+1
      27: q^2+2q+1
      28: q+1
      29: q+1
      30: q+1
      31: q+1
      32: 1
      33: q+1
      34: 1
      35: q+1
      36: 1
      37: q+1
      38: 1
      39: q+1
      40: q+1
      41: q+1
      42: 1
      43: 1
      44: q+1
      45: 1
      46: 1
      47: q+1
      49: q+1
      51: 1
      53: q+1
      55: 1
      56: q+1
      57: q+1
      58: 1
      60: q+1
      61: 1
      62: q+1
      64: q^2+2q+1
      65: q+1
      66: q+1
      67: q+1
      68: q+1
      69: 1
      70: q+1
      71: 1
      72: q+1
      73: 1
      74: q+1
      75: 1
      77: 1
      79: 1
      81: q+1
      83: q+1
      84: q+1
      85: q+1
      86: q+1
      87: q+1
      89: q+1
      91: 1
      93: q+1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: q+1
     105: 1
     106: q+1
     108: q+1
     109: q+1
     110: 1
     112: q+1
     113: 1
     114: q+1
     115: 1
     116: q+1
     117: 1
     118: q+1
     119: 1
     120: q+1
     121: 1
     123: 1
     125: q+1
     127: 1
     129: 1
     131: 1
     133: 1
     135: q+1
     137: q+1
     139: 1
     141: q+1
     143: 1
     145: q+1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     152: 1
     153: q+1
     154: 1
     155: 1
     156: 1
     157: 1
     158: q+1
     160: 1
     161: 1
     163: q+1
     165: 1
     169: 1
     170: q+1
     171: q+1
     172: 1
     174: 1
     175: 1
     176: 1
     178: 1
     179: 1
     180: 1
     182: q+1
     183: 1
     185: 1
     187: 1
     189: 1
     191: q+1
     193: 1
     195: 1
     201: 1
     203: 1
     205: 1
     207: 1
     209: 1
     211: 1
     216: q+1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     223: 1
     225: 1
     226: 1
     228: 1
     229: 1
     231: 1
     233: q+1
     235: 1
     239: 1
     240: 1
     243: 1
     244: q+1
     245: 1
     247: 1
     248: 1
     249: 1
     250: 1
     252: 1
     253: 1
     254: 1
     256: 1
     257: 1
     263: 1
     265: 1
     267: 1
     269: 1
     271: 1
     281: 1
     283: 1
     287: 1
     289: 1
     291: 1
     293: 1
     297: 1
     298: 1
     299: 1
     300: 1
     302: q+1
     304: 1
     308: 1
     311: 1
     314: 1
     315: 1
     319: 1
     320: 1
     321: 1
     326: 1
     328: 1
     333: 1
     335: 1
     338: 1
     339: 1
     342: 1
     343: 1
     349: 1
     353: 1
     355: 1
     357: 1
     359: 1
     361: 1
     381: 1
     383: 1
     392: 1
     395: 1
     397: 1
     402: 1
     405: 1
     409: 1
     414: 1
     416: 1
     423: 1
     428: 1
     429: 1
     432: 1
     433: 1
     447: 1
     449: 1
     451: 1
     477: 1
     490: 1
     492: 1
     497: 1
     500: 1
     502: 1
     508: 1
     525: 1
     526: 1
     540: 1
     544: 1
     588: 1
     590: 1
     597: 1
     632: 1

633:   0: 3q+1
       1: 3q+1
       2: q^2+2q+1
       3: 3q+1
       4: q^2+2q+1
       5: 3q+1
       6: 3q+1
       7: q^2+2q+1
       8: q+1
       9: 3q+1
      10: q^2+2q+1
      11: q^2+2q+1
      12: q+1
      13: q^2+2q+1
      14: q^2+2q+1
      15: 3q+1
      16: 3q+1
      17: q^2+2q+1
      18: q^2+2q+1
      19: 3q+1
      20: 3q+1
      21: q^2+2q+1
      22: q^2+2q+1
      23: 2q+1
      24: q+1
      25: 2q+1
      26: 2q+1
      27: 3q+1
      28: 3q+1
      29: 3q+1
      30: q+1
      31: 2q+1
      32: 2q+1
      33: q+1
      34: 2q+1
      35: 2q+1
      36: 2q+1
      37: q+1
      38: 2q+1
      39: 2q+1
      40: 3q+1
      41: 3q+1
      42: 2q+1
      43: 2q+1
      44: q+1
      45: 2q+1
      46: 2q+1
      47: q+1
      48: 2q+1
      50: 2q+1
      52: q+1
      54: 2q+1
      56: 3q+1
      57: 3q+1
      58: q^2+2q+1
      59: q^2+2q+1
      60: 2q+1
      61: q+1
      62: 2q+1
      63: 2q+1
      64: 2q+1
      65: 2q+1
      66: q+1
      67: 2q+1
      68: 2q+1
      69: 2q+1
      70: q+1
      71: 2q+1
      72: 2q+1
      73: 2q+1
      74: q+1
      75: 2q+1
      76: 2q+1
      78: 2q+1
      80: q+1
      82: 2q+1
      83: q+1
      84: 3q+1
      85: 2q+1
      86: q+1
      87: q+1
      88: 2q+1
      90: 2q+1
      92: q+1
      94: 2q+1
      96: 2q+1
      97: q+1
      98: 2q+1
      99: 2q+1
     100: 2q+1
     101: q+1
     102: 2q+1
     103: 2q+1
     104: 2q+1
     105: q+1
     106: 2q+1
     107: 2q+1
     108: 2q+1
     109: 2q+1
     110: q+1
     111: 2q+1
     112: 1
     113: q+1
     114: 1
     115: q+1
     116: 1
     117: q+1
     118: 1
     119: q+1
     120: q+1
     121: q+1
     123: q+1
     124: q+1
     126: 2q+1
     128: 2q+1
     130: 2q+1
     132: q+1
     134: 2q+1
     135: q+1
     136: 1
     138: q+1
     140: 1
     142: q+1
     144: 2q+1
     145: q+1
     146: q+1
     147: q+1
     148: q+1
     149: 1
     150: q+1
     152: 2q+1
     153: 1
     154: q+1
     155: 1
     156: q+1
     157: 2q+1
     158: 1
     160: q+1
     161: q+1
     162: q+1
     164: q+1
     168: q+1
     170: 2q+1
     171: 2q+1
     172: q+1
     173: 2q+1
     174: 1
     175: q+1
     176: 1
     177: q+1
     178: 1
     179: q+1
     180: 1
     181: q+1
     182: 1
     183: 1
     185: 1
     186: 1
     188: q+1
     190: 1
     192: q+1
     194: 2q+1
     200: q+1
     202: q+1
     204: q+1
     206: 1
     208: q+1
     210: 1
     212: q+1
     214: q+1
     215: 2q+1
     216: q+1
     217: q+1
     218: 1
     219: q+1
     220: 1
     221: 1
     222: q+1
     223: 1
     225: 1
     226: 1
     227: q+1
     228: 1
     229: 1
     231: 1
     232: 1
     234: 1
     238: 1
     240: 1
     243: q+1
     244: 1
     245: 1
     247: 1
     248: 1
     249: q+1
     250: 1
     251: q+1
     252: 1
     253: q+1
     254: 1
     255: q+1
     256: 1
     257: 1
     259: 1
     260: q+1
     262: 1
     264: 1
     266: 1
     268: 1
     270: q+1
     280: 1
     282: 1
     286: q+1
     288: 1
     290: q+1
     292: 1
     294: q+1
     296: q+1
     297: 1
     298: 1
     299: 1
     300: 1
     301: 1
     303: 1
     307: 1
     309: 1
     310: q+1
     311: 1
     314: 1
     315: 1
     317: 1
     318: q+1
     319: 1
     320: 1
     321: 1
     325: 1
     327: 1
     331: 1
     333: 1
     334: 1
     335: 1
     338: 1
     339: 1
     341: 1
     342: 1
     343: 1
     345: 1
     346: q+1
     348: 1
     350: 1
     352: 1
     354: 1
     356: 1
     358: 1
     360: 1
     378: 1
     380: 1
     382: 1
     390: 1
     391: 1
     392: 1
     393: 1
     394: 1
     396: 1
     400: 1
     402: 1
     403: 1
     405: 1
     408: 1
     409: 1
     413: 1
     415: 1
     419: 1
     421: 1
     422: 1
     423: 1
     432: 1
     433: 1
     435: 1
     442: 1
     444: 1
     446: 1
     448: 1
     450: 1
     452: 1
     474: 1
     476: 1
     478: 1
     498: 1
     499: 1
     501: 1
     505: 1
     507: 1
     508: 1
     511: 1
     516: 1
     521: 1
     537: 1
     541: 1
     543: 1
     545: 1
     573: 1
     598: 1
     633: 1

634:   0: 3q+1
       1: 3q+1
       2: q^2+2q+1
       3: 3q+1
       4: q^2+2q+1
       5: 3q+1
       6: 3q+1
       7: q^2+2q+1
       8: q+1
       9: 3q+1
      10: q^2+2q+1
      11: q^2+2q+1
      12: q+1
      13: q^2+2q+1
      14: q^2+2q+1
      15: 3q+1
      16: 3q+1
      17: q^2+2q+1
      18: q^2+2q+1
      19: 3q+1
      20: 3q+1
      21: q^2+2q+1
      22: q^2+2q+1
      23: 2q+1
      24: q+1
      25: 2q+1
      26: 2q+1
      27: 3q+1
      28: 3q+1
      29: 3q+1
      30: q+1
      31: 2q+1
      32: 2q+1
      33: q+1
      34: 2q+1
      35: 2q+1
      36: 2q+1
      37: q+1
      38: 2q+1
      39: 2q+1
      40: 3q+1
      41: 3q+1
      42: 2q+1
      43: 2q+1
      44: q+1
      45: 2q+1
      46: 2q+1
      47: q+1
      49: 2q+1
      51: 2q+1
      53: q+1
      55: 2q+1
      56: 3q+1
      57: 3q+1
      58: q^2+2q+1
      59: q^2+2q+1
      60: 2q+1
      61: q+1
      62: 2q+1
      63: 2q+1
      64: 2q+1
      65: 2q+1
      66: q+1
      67: 2q+1
      68: 2q+1
      69: 2q+1
      70: q+1
      71: 2q+1
      72: 2q+1
      73: 2q+1
      74: q+1
      75: 2q+1
      77: 2q+1
      79: 2q+1
      81: q+1
      82: 2q+1
      83: q+1
      84: 3q+1
      85: 2q+1
      86: q+1
      87: q+1
      89: 2q+1
      91: 2q+1
      93: q+1
      95: 2q+1
      96: 2q+1
      97: q+1
      98: 2q+1
      99: 2q+1
     100: 2q+1
     101: q+1
     102: 2q+1
     103: 2q+1
     104: 2q+1
     105: q+1
     106: 2q+1
     107: 2q+1
     108: 2q+1
     109: 2q+1
     110: q+1
     111: 2q+1
     112: 1
     113: q+1
     114: 1
     115: q+1
     116: 1
     117: q+1
     118: 1
     119: q+1
     120: q+1
     121: q+1
     123: q+1
     125: q+1
     127: 2q+1
     129: 2q+1
     131: 2q+1
     133: q+1
     134: 2q+1
     135: q+1
     137: 1
     139: q+1
     141: 1
     143: q+1
     144: 2q+1
     145: q+1
     146: q+1
     147: q+1
     148: q+1
     149: 1
     150: q+1
     152: 2q+1
     153: 1
     154: q+1
     155: 1
     156: q+1
     157: 2q+1
     158: 1
     160: q+1
     161: q+1
     163: q+1
     165: q+1
     169: q+1
     170: 2q+1
     171: 2q+1
     172: q+1
     173: 2q+1
     174: 1
     175: q+1
     176: 1
     177: q+1
     178: 1
     179: q+1
     180: 1
     181: q+1
     182: 1
     183: 1
     185: 1
     187: 1
     189: q+1
     191: 1
     193: q+1
     195: 2q+1
     201: q+1
     203: q+1
     205: q+1
     207: 1
     209: q+1
     211: 1
     213: q+1
     214: q+1
     215: 2q+1
     216: q+1
     217: q+1
     218: 1
     219: q+1
     220: 1
     221: 1
     222: q+1
     223: 1
     225: 1
     226: 1
     227: q+1
     228: 1
     229: 1
     231: 1
     233: 1
     235: 1
     239: 1
     240: 1
     243: q+1
     244: 1
     245: 1
     247: 1
     248: 1
     249: q+1
     250: 1
     251: q+1
     252: 1
     253: q+1
     254: 1
     255: q+1
     256: 1
     257: 1
     259: 1
     261: q+1
     263: 1
     265: 1
     267: 1
     269: 1
     271: q+1
     281: 1
     283: 1
     287: q+1
     289: 1
     291: q+1
     293: 1
     295: q+1
     296: q+1
     297: 1
     298: 1
     299: 1
     300: 1
     302: 1
     304: 1
     308: 1
     309: 1
     310: q+1
     311: 1
     314: 1
     315: 1
     317: 1
     318: q+1
     319: 1
     320: 1
     321: 1
     326: 1
     328: 1
     332: 1
     333: 1
     334: 1
     335: 1
     338: 1
     339: 1
     341: 1
     342: 1
     343: 1
     345: 1
     347: q+1
     349: 1
     351: 1
     353: 1
     355: 1
     357: 1
     359: 1
     361: 1
     379: 1
     381: 1
     383: 1
     390: 1
     391: 1
     392: 1
     393: 1
     395: 1
     397: 1
     401: 1
     402: 1
     403: 1
     405: 1
     408: 1
     409: 1
     414: 1
     416: 1
     420: 1
     421: 1
     422: 1
     423: 1
     432: 1
     433: 1
     435: 1
     443: 1
     445: 1
     447: 1
     449: 1
     451: 1
     453: 1
     475: 1
     477: 1
     479: 1
     498: 1
     500: 1
     502: 1
     506: 1
     507: 1
     508: 1
     511: 1
     516: 1
     521: 1
     538: 1
     542: 1
     544: 1
     546: 1
     574: 1
     598: 1
     634: 1

635:   0: q^3+4q^2+6q+1
       1: 3q^2+4q+1
       2: 5q^2+6q+1
       3: q^3+4q^2+6q+1
       4: 5q^2+6q+1
       5: 3q^2+4q+1
       6: 3q^2+4q+1
       7: q^3+4q^2+4q+1
       8: q^3+6q^2+6q+1
       9: 3q^2+4q+1
      10: q^3+4q^2+4q+1
      11: q^3+2q^2+2q+1
      12: q^3+6q^2+6q+1
      13: q^3+2q^2+2q+1
      15: 3q^2+4q+1
      16: 3q^2+4q+1
      17: q^3+4q^2+4q+1
      18: q^3+2q^2+2q+1
      19: 2q^2+4q+1
      20: 2q^2+4q+1
      21: 3q^2+4q+1
      23: 2q^2+6q+1
      24: 3q^2+6q+1
      25: 2q^2+2q+1
      26: 2q^2+2q+1
      27: q^3+4q^2+6q+1
      28: 3q^2+4q+1
      29: 3q^2+4q+1
      30: q^3+6q^2+6q+1
      31: 2q^2+6q+1
      32: 2q^2+4q+1
      33: 3q^2+6q+1
      34: 2q^2+4q+1
      35: 2q^2+6q+1
      36: 2q^2+4q+1
      37: 3q^2+6q+1
      38: 2q^2+4q+1
      39: 2q^2+2q+1
      40: 3q^2+4q+1
      41: 2q^2+4q+1
      42: 2q^2+4q+1
      43: q^2+4q+1
      44: q^2+6q+1
      45: 2q^2+4q+1
      46: q^2+4q+1
      47: q^2+6q+1
      48: 4q+1
      49: 2q
      50: 3q+1
      51: q^2+q
      52: q^2+4q+1
      53: 2q
      54: 3q+1
      55: q^2+q
      56: 2q^2+4q+1
      57: 2q^2+4q+1
      58: 3q^2+4q+1
      60: 4q+1
      61: q^2+4q+1
      62: q^2+2q+1
      64: 2q^2+6q+1
      65: 2q^2+2q+1
      66: 3q^2+6q+1
      67: 2q^2+2q+1
      68: 2q^2+6q+1
      69: 2q^2+4q+1
      70: 3q^2+6q+1
      71: 2q^2+4q+1
      72: 2q^2+6q+1
      73: 2q^2+4q+1
      74: 3q^2+6q+1
      75: 2q^2+4q+1
      76: 3q+1
      77: q^2+q
      78: 3q+1
      79: q
      80: 4q+1
      81: 2q
      83: 2q+1
      84: 2q^2+4q+1
      85: 2q^2+2q+1
      86: q^2+6q+1
      87: q^2+6q+1
      88: 4q+1
      89: 2q
      90: 3q+1
      91: q^2+q
      92: q^2+4q+1
      93: 2q
      94: 3q+1
      95: q^2+q
      96: q^2+4q+1
      97: 4q+1
      98: 2q^2+4q+1
      99: q^2+4q+1
     100: q^2+4q+1
     101: 4q+1
     102: 2q^2+4q+1
     103: q^2+4q+1
     104: 4q+1
     105: q^2+4q+1
     106: q^2+2q+1
     108: 4q+1
     109: q^2+2q+1
     110: q^2+4q+1
     112: q^2+5q+1
     113: q^2+2q+1
     114: q^2+5q+1
     115: q^2+2q+1
     116: q^2+5q+1
     117: q^2+2q+1
     118: q^2+5q+1
     119: q^2+2q+1
     120: 5q+1
     121: 3q+1
     122: q^2+6q+1
     123: 3q+1
     124: 4q+1
     125: 2q
     126: 3q+1
     127: q^2+q
     128: 3q+1
     129: q
     130: 3q+1
     131: q
     132: 3q+1
     133: q
     135: 2q+1
     136: 2q+1
     138: q+1
     140: 2q+1
     142: q+1
     145: 2q+1
     146: 4q+1
     147: 4q+1
     148: 4q+1
     149: 2q+1
     150: q^2+2q+1
     151: 3q+1
     152: q^2+4q+1
     153: q^2+5q+1
     154: 4q+1
     155: 2q+1
     156: q^2+2q+1
     157: q^2+4q+1
     158: q^2+5q+1
     159: 3q+1
     160: 3q+1
     161: 3q+1
     162: 3q+1
     163: 2q
     164: 2q+1
     165: q
     166: q^2+4q+1
     167: 2q
     168: 2q+1
     169: q
     170: 4q+1
     171: q^2+2q+1
     172: q^2+4q+1
     174: 2q+1
     175: q+1
     176: 2q+1
     178: 2q+1
     179: q+1
     180: 2q+1
     182: 2q+1
     183: q+1
     184: 3q+1
     185: q+1
     186: q+1
     188: q+1
     190: 2q+1
     192: 3q+1
     193: q
     194: 3q+1
     195: q
     196: 2q+1
     197: q
     198: 2q+1
     199: q
     200: 3q+1
     201: q
     202: 2q+1
     203: q
     204: 2q+1
     205: q
     216: 2q+1
     217: 4q+1
     218: 2q+1
     219: 4q+1
     220: 2q+1
     221: 2q+1
     223: q+1
     224: q+1
     225: 2q+1
     226: 2q+1
     228: q+1
     229: 2q+1
     230: q+1
     231: q+1
     232: 1
     234: 1
     236: q+1
     238: 1
     240: q+1
     241: q+1
     242: q+1
     243: 3q+1
     244: 2q+1
     245: q+1
     246: 3q+1
     247: q+1
     248: 2q+1
     249: q+1
     250: 2q+1
     252: 2q+1
     253: q+1
     254: 2q+1
     256: 1
     257: 1
     258: q+1
     264: q+1
     268: q+1
     270: 3q+1
     271: q
     272: 1
     274: q+1
     276: 1
     278: q+1
     280: 1
     282: 1
     284: 1
     286: 2q+1
     287: q
     297: 2q+1
     298: 2q+1
     299: q+1
     300: q+1
     301: 1
     303: 1
     305: q+1
     307: 1
     311: q+1
     312: q+1
     313: 1
     314: 2q+1
     315: q+1
     316: q+1
     319: q+1
     320: 2q+1
     321: q+1
     322: q+1
     323: 1
     324: q+1
     333: q+1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: q+1
     342: 1
     343: 1
     344: q+1
     356: q+1
     358: 1
     360: 1
     362: 1
     366: q+1
     368: 1
     370: 1
     374: q+1
     376: 1
     382: 1
     384: 1
     386: 2
     388: 1
     392: q+1
     402: 1
     404: 1
     405: q+1
     406: 1
     407: 1
     409: q+1
     410: 1
     411: 1
     412: 1
     423: 1
     424: 1
     425: 1
     426: 1
     427: 1
     432: 1
     433: 1
     434: q+1
     436: 1
     438: 1
     450: 1
     456: 1
     460: 1
     466: 1
     470: 1
     480: 1
     484: 1
     486: 1
     508: 1
     512: 1
     513: 1
     514: 1
     518: 1
     519: 1
     520: 1
     522: 1
     523: 1
     547: 1
     557: 1
     569: 1
     579: 1
     585: 1
     602: 1
     606: 1
     635: 1

636:   0: q^3+4q^2+6q+1
       1: 3q^2+4q+1
       2: 5q^2+6q+1
       3: q^3+4q^2+6q+1
       4: 5q^2+6q+1
       5: 3q^2+4q+1
       6: 3q^2+4q+1
       7: q^3+4q^2+4q+1
       8: q^3+6q^2+6q+1
       9: 3q^2+4q+1
      10: q^3+4q^2+4q+1
      11: q^3+2q^2+2q+1
      12: q^3+6q^2+6q+1
      13: q^3+2q^2+2q+1
      15: 3q^2+4q+1
      16: 3q^2+4q+1
      17: q^3+4q^2+4q+1
      18: q^3+2q^2+2q+1
      19: 2q^2+4q+1
      20: 2q^2+4q+1
      21: 3q^2+4q+1
      23: 2q^2+6q+1
      24: 3q^2+6q+1
      25: 2q^2+2q+1
      26: 2q^2+2q+1
      27: q^3+4q^2+6q+1
      28: 3q^2+4q+1
      29: 3q^2+4q+1
      30: q^3+6q^2+6q+1
      31: 2q^2+6q+1
      32: 2q^2+4q+1
      33: 3q^2+6q+1
      34: 2q^2+4q+1
      35: 2q^2+6q+1
      36: 2q^2+4q+1
      37: 3q^2+6q+1
      38: 2q^2+4q+1
      39: 2q^2+2q+1
      40: 3q^2+4q+1
      41: 2q^2+4q+1
      42: 2q^2+4q+1
      43: q^2+4q+1
      44: q^2+6q+1
      45: 2q^2+4q+1
      46: q^2+4q+1
      47: q^2+6q+1
      48: 2q
      49: 4q+1
      50: q^2+q
      51: 3q+1
      52: 2q
      53: q^2+4q+1
      54: q^2+q
      55: 3q+1
      56: 2q^2+4q+1
      57: 2q^2+4q+1
      58: 3q^2+4q+1
      60: 4q+1
      61: q^2+4q+1
      62: q^2+2q+1
      64: 2q^2+6q+1
      65: 2q^2+2q+1
      66: 3q^2+6q+1
      67: 2q^2+2q+1
      68: 2q^2+6q+1
      69: 2q^2+4q+1
      70: 3q^2+6q+1
      71: 2q^2+4q+1
      72: 2q^2+6q+1
      73: 2q^2+4q+1
      74: 3q^2+6q+1
      75: 2q^2+4q+1
      76: q^2+q
      77: 3q+1
      78: q
      79: 3q+1
      80: 2q
      81: 4q+1
      83: 2q+1
      84: 2q^2+4q+1
      85: 2q^2+2q+1
      86: q^2+6q+1
      87: q^2+6q+1
      88: 2q
      89: 4q+1
      90: q^2+q
      91: 3q+1
      92: 2q
      93: q^2+4q+1
      94: q^2+q
      95: 3q+1
      96: q^2+4q+1
      97: 4q+1
      98: 2q^2+4q+1
      99: q^2+4q+1
     100: q^2+4q+1
     101: 4q+1
     102: 2q^2+4q+1
     103: q^2+4q+1
     104: 4q+1
     105: q^2+4q+1
     106: q^2+2q+1
     108: 4q+1
     109: q^2+2q+1
     110: q^2+4q+1
     112: q^2+5q+1
     113: q^2+2q+1
     114: q^2+5q+1
     115: q^2+2q+1
     116: q^2+5q+1
     117: q^2+2q+1
     118: q^2+5q+1
     119: q^2+2q+1
     120: 5q+1
     121: 3q+1
     122: q^2+6q+1
     123: 3q+1
     124: 2q
     125: 4q+1
     126: q^2+q
     127: 3q+1
     128: q
     129: 3q+1
     130: q
     131: 3q+1
     132: q
     133: 3q+1
     135: 2q+1
     137: 2q+1
     139: q+1
     141: 2q+1
     143: q+1
     145: 2q+1
     146: 4q+1
     147: 4q+1
     148: 4q+1
     149: 2q+1
     150: q^2+2q+1
     151: 3q+1
     152: q^2+4q+1
     153: q^2+5q+1
     154: 4q+1
     155: 2q+1
     156: q^2+2q+1
     157: q^2+4q+1
     158: q^2+5q+1
     159: 3q+1
     160: 3q+1
     161: 3q+1
     162: 2q
     163: 3q+1
     164: q
     165: 2q+1
     166: 2q
     167: q^2+4q+1
     168: q
     169: 2q+1
     170: 4q+1
     171: q^2+2q+1
     172: q^2+4q+1
     174: 2q+1
     175: q+1
     176: 2q+1
     178: 2q+1
     179: q+1
     180: 2q+1
     182: 2q+1
     183: q+1
     184: 3q+1
     185: q+1
     187: q+1
     189: q+1
     191: 2q+1
     192: q
     193: 3q+1
     194: q
     195: 3q+1
     196: q
     197: 2q+1
     198: q
     199: 2q+1
     200: q
     201: 3q+1
     202: q
     203: 2q+1
     204: q
     205: 2q+1
     216: 2q+1
     217: 4q+1
     218: 2q+1
     219: 4q+1
     220: 2q+1
     221: 2q+1
     223: q+1
     224: q+1
     225: 2q+1
     226: 2q+1
     228: q+1
     229: 2q+1
     230: q+1
     231: q+1
     233: 1
     235: 1
     237: q+1
     239: 1
     240: q+1
     241: q+1
     242: q+1
     243: 3q+1
     244: 2q+1
     245: q+1
     246: 3q+1
     247: q+1
     248: 2q+1
     249: q+1
     250: 2q+1
     252: 2q+1
     253: q+1
     254: 2q+1
     256: 1
     257: 1
     258: q+1
     265: q+1
     269: q+1
     270: q
     271: 3q+1
     273: 1
     275: q+1
     277: 1
     279: q+1
     281: 1
     283: 1
     285: 1
     286: q
     287: 2q+1
     297: 2q+1
     298: 2q+1
     299: q+1
     300: q+1
     302: 1
     304: 1
     306: q+1
     308: 1
     311: q+1
     312: q+1
     313: 1
     314: 2q+1
     315: q+1
     316: q+1
     319: q+1
     320: 2q+1
     321: q+1
     322: q+1
     323: 1
     324: q+1
     333: q+1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: q+1
     342: 1
     343: 1
     344: q+1
     357: q+1
     359: 1
     361: 1
     363: 1
     367: q+1
     369: 1
     371: 1
     375: q+1
     377: 1
     383: 1
     385: 1
     387: 2
     389: 1
     392: q+1
     402: 1
     404: 1
     405: q+1
     406: 1
     407: 1
     409: q+1
     410: 1
     411: 1
     412: 1
     423: 1
     424: 1
     425: 1
     426: 1
     427: 1
     432: 1
     433: 1
     434: q+1
     440: 1
     441: 1
     451: 1
     457: 1
     461: 1
     467: 1
     471: 1
     481: 1
     485: 1
     487: 1
     508: 1
     512: 1
     513: 1
     514: 1
     518: 1
     519: 1
     520: 1
     522: 1
     523: 1
     548: 1
     558: 1
     570: 1
     580: 1
     586: 1
     602: 1
     606: 1
     636: 1

637:   0: q^3+2q+1
       1: q^3+2q+1
       2: q^2+2q+1
       3: q^3+2q+1
       4: q^2+2q+1
       6: q^3+2q+1
       7: q^2+2q+1
       8: q^3+2q^2+2q+1
      11: q^4+q^3+q+1
      12: q^3+2q^2+2q+1
      19: q^3+2q+1
      20: q^3+2q+1
      21: q^2+2q+1
      23: 2q+1
      24: q^2+2q+1
      25: q^3+q+1
      27: q^3+2q+1
      28: q^3+2q+1
      30: q^3+2q^2+2q+1
      31: 2q+1
      32: 2q+1
      33: q^2+2q+1
      35: 2q+1
      36: 2q+1
      37: q^2+2q+1
      41: q^3+2q+1
      43: 2q+1
      44: 2q+1
      46: 2q+1
      47: 2q+1
      48: 2q+1
      50: 2q+1
      52: q^2+2q+1
      60: 2q+1
      61: q^2+2q+1
      62: q^3+q+1
      64: 2q+1
      65: q^3+q+1
      66: q^2+2q+1
      68: 2q+1
      69: 2q+1
      70: q^2+2q+1
      72: 2q+1
      73: 2q+1
      74: q^2+2q+1
      78: 2q+1
      80: 2q+1
      83: q+1
      86: 2q+1
      87: 2q+1
      88: 2q+1
      90: 2q+1
      92: q^2+2q+1
      97: 2q+1
      99: 2q+1
     101: 2q+1
     103: 2q+1
     108: 2q+1
     109: q^3+q+1
     110: q^2+2q+1
     112: 2q+1
     113: q+1
     114: 2q+1
     116: 2q+1
     117: q+1
     118: 2q+1
     120: q+1
     121: q+1
     122: q^2+2q+1
     124: 2q+1
     128: 2q+1
     132: 2q+1
     136: 2q+1
     138: q+1
     140: 2q+1
     145: q+1
     146: 2q+1
     147: 2q+1
     149: q+1
     151: q+1
     153: 2q+1
     155: q+1
     158: 2q+1
     159: q+1
     161: q+1
     162: q+1
     164: q+1
     166: q^2+2q+1
     174: 2q+1
     175: q+1
     176: 2q+1
     178: 2q+1
     179: q+1
     180: 2q+1
     182: 1
     183: 1
     184: q+1
     186: q+1
     190: 2q+1
     192: 2q+1
     196: q+1
     198: q+1
     204: q+1
     206: 2q+1
     208: q+1
     210: 2q+1
     218: q+1
     220: q+1
     223: q+1
     224: q+1
     225: 2q+1
     228: q+1
     229: 2q+1
     230: q+1
     231: 1
     232: 1
     234: 1
     236: q+1
     241: 1
     242: 1
     244: 1
     245: 1
     246: q+1
     256: 1
     257: 1
     258: q+1
     262: q+1
     266: 2q+1
     268: q+1
     272: 1
     274: q+1
     276: 1
     278: q+1
     280: 1
     284: 1
     299: 1
     301: 1
     303: 1
     305: q+1
     313: 1
     315: q+1
     316: 1
     321: q+1
     323: 1
     324: 1
     325: 1
     327: 1
     329: q+1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: q+1
     354: q+1
     358: 1
     362: 1
     364: 1
     368: 1
     370: 1
     372: 1
     376: 1
     380: 1
     384: 1
     386: 2
     388: 1
     394: 1
     396: 1
     398: q+1
     402: 1
     406: 1
     407: 1
     411: 1
     412: 1
     425: 1
     427: 1
     436: 1
     438: 1
     448: 1
     454: 1
     460: 1
     462: 1
     464: 1
     470: 1
     472: 1
     480: 1
     482: 2
     486: 1
     514: 1
     520: 1
     529: 1
     531: 1
     547: 1
     555: 1
     567: 1
     577: 1
     637: 1

638:   0: q^3+2q+1
       1: q^3+2q+1
       2: q^2+2q+1
       3: q^3+2q+1
       4: q^2+2q+1
       6: q^3+2q+1
       7: q^2+2q+1
       8: q^3+2q^2+2q+1
      11: q^4+q^3+q+1
      12: q^3+2q^2+2q+1
      19: q^3+2q+1
      20: q^3+2q+1
      21: q^2+2q+1
      23: 2q+1
      24: q^2+2q+1
      25: q^3+q+1
      27: q^3+2q+1
      28: q^3+2q+1
      30: q^3+2q^2+2q+1
      31: 2q+1
      32: 2q+1
      33: q^2+2q+1
      35: 2q+1
      36: 2q+1
      37: q^2+2q+1
      41: q^3+2q+1
      43: 2q+1
      44: 2q+1
      46: 2q+1
      47: 2q+1
      49: 2q+1
      51: 2q+1
      53: q^2+2q+1
      60: 2q+1
      61: q^2+2q+1
      62: q^3+q+1
      64: 2q+1
      65: q^3+q+1
      66: q^2+2q+1
      68: 2q+1
      69: 2q+1
      70: q^2+2q+1
      72: 2q+1
      73: 2q+1
      74: q^2+2q+1
      79: 2q+1
      81: 2q+1
      83: q+1
      86: 2q+1
      87: 2q+1
      89: 2q+1
      91: 2q+1
      93: q^2+2q+1
      97: 2q+1
      99: 2q+1
     101: 2q+1
     103: 2q+1
     108: 2q+1
     109: q^3+q+1
     110: q^2+2q+1
     112: 2q+1
     113: q+1
     114: 2q+1
     116: 2q+1
     117: q+1
     118: 2q+1
     120: q+1
     121: q+1
     122: q^2+2q+1
     125: 2q+1
     129: 2q+1
     133: 2q+1
     137: 2q+1
     139: q+1
     141: 2q+1
     145: q+1
     146: 2q+1
     147: 2q+1
     149: q+1
     151: q+1
     153: 2q+1
     155: q+1
     158: 2q+1
     159: q+1
     161: q+1
     163: q+1
     165: q+1
     167: q^2+2q+1
     174: 2q+1
     175: q+1
     176: 2q+1
     178: 2q+1
     179: q+1
     180: 2q+1
     182: 1
     183: 1
     184: q+1
     187: q+1
     191: 2q+1
     193: 2q+1
     197: q+1
     199: q+1
     205: q+1
     207: 2q+1
     209: q+1
     211: 2q+1
     218: q+1
     220: q+1
     223: q+1
     224: q+1
     225: 2q+1
     228: q+1
     229: 2q+1
     230: q+1
     231: 1
     233: 1
     235: 1
     237: q+1
     241: 1
     242: 1
     244: 1
     245: 1
     246: q+1
     256: 1
     257: 1
     258: q+1
     263: q+1
     267: 2q+1
     269: q+1
     273: 1
     275: q+1
     277: 1
     279: q+1
     281: 1
     285: 1
     299: 1
     302: 1
     304: 1
     306: q+1
     313: 1
     315: q+1
     316: 1
     321: q+1
     323: 1
     324: 1
     326: 1
     328: 1
     330: q+1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: q+1
     355: q+1
     359: 1
     363: 1
     365: 1
     369: 1
     371: 1
     373: 1
     377: 1
     381: 1
     385: 1
     387: 2
     389: 1
     395: 1
     397: 1
     399: q+1
     402: 1
     406: 1
     407: 1
     411: 1
     412: 1
     425: 1
     427: 1
     440: 1
     441: 1
     449: 1
     455: 1
     461: 1
     463: 1
     465: 1
     471: 1
     473: 1
     481: 1
     483: 2
     487: 1
     514: 1
     520: 1
     533: 1
     534: 1
     548: 1
     556: 1
     568: 1
     578: 1
     638: 1

639:   0: 2q^2+3q+1
       1: q^2+2q+1
       2: 2q^2+3q+1
       3: 2q^2+3q+1
       4: 3q^2+3q+1
       6: q^2+2q+1
       7: q^3+2q^2+2q+1
       8: 3q^2+3q+1
      11: q^2+2q+1
      12: 3q^2+3q+1
      19: 2q+1
      20: 2q+1
      21: q^2+2q+1
      23: 2q^2+3q+1
      24: 3q^2+3q+1
      25: q^2+2q+1
      27: 2q^2+3q+1
      28: q^2+2q+1
      30: 3q^2+3q+1
      31: q^2+3q+1
      32: q^2+2q+1
      33: q^2+3q+1
      35: q^2+3q+1
      36: q^2+2q+1
      37: q^2+3q+1
      41: 2q+1
      43: 2q+1
      44: q^2+3q+1
      46: 2q+1
      47: q^2+3q+1
      48: q+1
      49: 2q
      50: q+1
      51: q^2+q
      52: q+1
      53: 2q
      60: 2q+1
      61: q^2+2q+1
      62: 2q+1
      64: 2q^2+3q+1
      65: q^2+2q+1
      66: 3q^2+3q+1
      68: q^2+3q+1
      69: q^2+2q+1
      70: q^2+3q+1
      72: q^2+3q+1
      73: q^2+2q+1
      74: q^2+3q+1
      78: q+1
      79: q
      80: q+1
      81: 2q
      83: 2q+1
      86: q^2+3q+1
      87: q^2+3q+1
      88: q+1
      89: 2q
      90: q+1
      91: q^2+q
      92: q+1
      93: 2q
      97: 2q+1
      99: 2q+1
     101: 2q+1
     103: 2q+1
     108: 2q+1
     109: 2q+1
     110: q^2+2q+1
     112: q^2+3q+1
     113: q^2+2q+1
     114: q^2+3q+1
     116: q^2+3q+1
     117: q^2+2q+1
     118: q^2+3q+1
     120: 2q+1
     121: q+1
     122: 3q+1
     124: q+1
     125: 2q
     128: q+1
     129: q
     132: q+1
     133: q
     136: q+1
     137: 2q
     138: q+1
     139: q^2+q
     140: q+1
     141: 2q
     145: 2q+1
     146: 2q+1
     147: 2q+1
     149: 2q+1
     151: q+1
     153: q^2+3q+1
     155: 2q+1
     158: q^2+3q+1
     159: q+1
     161: q+1
     162: 1
     163: 2q
     164: 1
     165: q
     166: q+1
     167: 2q
     174: q+1
     175: q+1
     176: q+1
     178: q+1
     179: q+1
     180: q+1
     182: 2q+1
     183: q+1
     184: 3q+1
     186: q+1
     187: q
     190: q+1
     191: 2q
     192: q+1
     193: q
     196: 1
     197: q
     198: 1
     199: q
     204: 1
     205: q
     218: 2q+1
     220: 2q+1
     223: q+1
     224: 1
     225: q+1
     228: q+1
     229: q+1
     230: 1
     231: q+1
     232: 1
     233: 2q
     234: 1
     235: q
     236: q+1
     237: 2q
     241: q+1
     242: q+1
     244: 2q+1
     245: q+1
     246: 3q+1
     256: 1
     257: 1
     258: q+1
     268: q+1
     269: q
     272: 1
     273: q
     274: 1
     276: 1
     277: q
     278: 1
     280: 1
     281: q
     284: 1
     299: q+1
     301: 1
     302: 2q
     303: 1
     304: q
     305: q+1
     306: 2q
     313: 1
     315: q+1
     316: q+1
     321: q+1
     323: 1
     324: q+1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: q+1
     358: 1
     359: q
     362: 1
     368: 1
     369: q
     370: 1
     376: 1
     377: q
     384: 1
     386: 1
     388: 1
     402: 1
     406: 1
     407: 1
     411: 1
     412: 1
     425: 1
     427: 1
     428: 1
     429: 1
     430: q+1
     436: 1
     460: 1
     470: 1
     480: 1
     486: 1
     497: 1
     509: 1
     514: 1
     515: 1
     520: 1
     547: 1
     575: 1
     600: 1
     604: 1
     639: 1

640:   0: 2q^2+3q+1
       1: q^2+2q+1
       2: 2q^2+3q+1
       3: 2q^2+3q+1
       4: 3q^2+3q+1
       6: q^2+2q+1
       7: q^3+2q^2+2q+1
       8: 3q^2+3q+1
      11: q^2+2q+1
      12: 3q^2+3q+1
      19: 2q+1
      20: 2q+1
      21: q^2+2q+1
      23: 2q^2+3q+1
      24: 3q^2+3q+1
      25: q^2+2q+1
      27: 2q^2+3q+1
      28: q^2+2q+1
      30: 3q^2+3q+1
      31: q^2+3q+1
      32: q^2+2q+1
      33: q^2+3q+1
      35: q^2+3q+1
      36: q^2+2q+1
      37: q^2+3q+1
      41: 2q+1
      43: 2q+1
      44: q^2+3q+1
      46: 2q+1
      47: q^2+3q+1
      48: 2q
      49: q+1
      50: q^2+q
      51: q+1
      52: 2q
      53: q+1
      60: 2q+1
      61: q^2+2q+1
      62: 2q+1
      64: 2q^2+3q+1
      65: q^2+2q+1
      66: 3q^2+3q+1
      68: q^2+3q+1
      69: q^2+2q+1
      70: q^2+3q+1
      72: q^2+3q+1
      73: q^2+2q+1
      74: q^2+3q+1
      78: q
      79: q+1
      80: 2q
      81: q+1
      83: 2q+1
      86: q^2+3q+1
      87: q^2+3q+1
      88: 2q
      89: q+1
      90: q^2+q
      91: q+1
      92: 2q
      93: q+1
      97: 2q+1
      99: 2q+1
     101: 2q+1
     103: 2q+1
     108: 2q+1
     109: 2q+1
     110: q^2+2q+1
     112: q^2+3q+1
     113: q^2+2q+1
     114: q^2+3q+1
     116: q^2+3q+1
     117: q^2+2q+1
     118: q^2+3q+1
     120: 2q+1
     121: q+1
     122: 3q+1
     124: 2q
     125: q+1
     128: q
     129: q+1
     132: q
     133: q+1
     136: 2q
     137: q+1
     138: q^2+q
     139: q+1
     140: 2q
     141: q+1
     145: 2q+1
     146: 2q+1
     147: 2q+1
     149: 2q+1
     151: q+1
     153: q^2+3q+1
     155: 2q+1
     158: q^2+3q+1
     159: q+1
     161: q+1
     162: 2q
     163: 1
     164: q
     165: 1
     166: 2q
     167: q+1
     174: q+1
     175: q+1
     176: q+1
     178: q+1
     179: q+1
     180: q+1
     182: 2q+1
     183: q+1
     184: 3q+1
     186: q
     187: q+1
     190: 2q
     191: q+1
     192: q
     193: q+1
     196: q
     197: 1
     198: q
     199: 1
     204: q
     205: 1
     218: 2q+1
     220: 2q+1
     223: q+1
     224: 1
     225: q+1
     228: q+1
     229: q+1
     230: 1
     231: q+1
     232: 2q
     233: 1
     234: q
     235: 1
     236: 2q
     237: q+1
     241: q+1
     242: q+1
     244: 2q+1
     245: q+1
     246: 3q+1
     256: 1
     257: 1
     258: q+1
     268: q
     269: q+1
     272: q
     273: 1
     275: 1
     276: q
     277: 1
     279: 1
     280: q
     281: 1
     285: 1
     299: q+1
     301: 2q
     302: 1
     303: q
     304: 1
     305: 2q
     306: q+1
     313: 1
     315: q+1
     316: q+1
     321: q+1
     323: 1
     324: q+1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: q+1
     358: q
     359: 1
     363: 1
     368: q
     369: 1
     371: 1
     376: q
     377: 1
     385: 1
     387: 1
     389: 1
     402: 1
     406: 1
     407: 1
     411: 1
     412: 1
     425: 1
     427: 1
     428: 1
     429: 1
     430: q+1
     440: 1
     461: 1
     471: 1
     481: 1
     487: 1
     497: 1
     509: 1
     514: 1
     515: 1
     520: 1
     548: 1
     576: 1
     600: 1
     604: 1
     640: 1

641:   0: q^3+3q^2+3q+1
       1: q^2+2q+1
       2: q^3+3q^2+3q+1
       3: q^2+2q+1
       4: q^3+3q^2+3q+1
       5: q^2+2q+1
       6: q+1
       7: q^2+2q+1
       8: q^3+3q^2+3q+1
       9: q+1
      10: q^2+2q+1
      11: q+1
      12: q^4+3q^3+4q^2+3q+1
      13: q+1
      15: q^2+2q+1
      16: q+1
      17: q^2+2q+1
      18: q+1
      19: q^2+2q+1
      20: q+1
      21: q^2+2q+1
      23: q^3+3q^2+3q+1
      24: q^3+3q^2+3q+1
      25: q+1
      26: q+1
      27: q^2+2q+1
      28: q+1
      29: q+1
      30: q^3+3q^2+3q+1
      31: q^3+3q^2+3q+1
      32: q^2+2q+1
      33: q^3+3q^2+3q+1
      34: q^2+2q+1
      35: q^2+2q+1
      36: q+1
      37: q^2+2q+1
      38: q+1
      39: q+1
      40: q+1
      41: q+1
      42: q^2+2q+1
      43: q^2+2q+1
      44: q^3+3q^2+3q+1
      45: q+1
      46: q+1
      47: q^2+2q+1
      48: q^2+2q+1
      50: q+1
      52: q^2+2q+1
      54: q+1
      56: q^2+2q+1
      57: q+1
      58: q^2+2q+1
      60: q^2+2q+1
      61: q^2+2q+1
      62: q+1
      64: q^2+2q+1
      65: q+1
      66: q^3+3q^2+3q+1
      67: q+1
      68: q^2+2q+1
      69: q+1
      70: q^3+3q^2+3q+1
      71: q+1
      72: q+1
      73: 1
      74: q^2+2q+1
      75: 1
      76: q+1
      78: q+1
      80: q^2+2q+1
      83: q+1
      84: q+1
      85: q+1
      86: q+1
      87: q^2+2q+1
      88: q+1
      90: 1
      92: q^2+2q+1
      94: 1
      96: q^2+2q+1
      97: q^2+2q+1
      98: q+1
      99: q+1
     100: q+1
     101: q+1
     102: 1
     103: 1
     104: q^2+2q+1
     105: q^2+2q+1
     106: q+1
     108: q+1
     109: q+1
     110: q^2+2q+1
     112: q^2+2q+1
     113: q+1
     114: q^3+3q^2+3q+1
     115: q+1
     116: q+1
     117: 1
     118: q^2+2q+1
     119: 1
     120: q+1
     121: 1
     122: q^2+2q+1
     123: 1
     124: q+1
     126: 1
     128: 1
     130: q+1
     132: q+1
     135: q+1
     136: q+1
     138: 1
     140: q^2+2q+1
     142: 1
     145: q+1
     146: 1
     147: q+1
     148: q^2+2q+1
     149: q+1
     150: q+1
     151: q+1
     152: q+1
     153: q^2+2q+1
     154: q+1
     155: 1
     156: 1
     157: 1
     158: q+1
     160: 1
     161: 1
     162: q+1
     164: 1
     166: q^2+2q+1
     168: 1
     170: q+1
     171: q+1
     172: q^2+2q+1
     174: q+1
     175: q+1
     176: q^2+2q+1
     178: 1
     179: 1
     180: q+1
     182: q+1
     183: 1
     184: q^2+2q+1
     185: 1
     186: 1
     188: 1
     190: q+1
     192: 1
     194: 1
     196: q+1
     200: q+1
     202: 1
     204: 1
     206: 1
     208: 1
     210: q+1
     216: q+1
     217: 1
     218: 1
     219: q+1
     220: q+1
     221: q+1
     223: q+1
     224: 1
     225: q+1
     226: 1
     228: 1
     229: 1
     231: 1
     232: q+1
     234: 1
     236: q^2+2q+1
     238: 1
     240: 1
     241: q+1
     243: 1
     244: q+1
     246: q+1
     248: q+1
     249: q+1
     250: q^2+2q+1
     252: 1
     253: 1
     254: q+1
     256: 1
     257: 1
     258: q+1
     262: 1
     264: 1
     266: 1
     268: 1
     270: 1
     272: q+1
     274: 1
     280: 1
     282: 1
     286: 1
     288: 1
     290: 1
     292: q+1
     297: 1
     298: q+1
     301: q+1
     305: q+1
     311: q+1
     312: 1
     313: 1
     314: q+1
     315: q+1
     316: q+1
     319: 1
     320: 1
     321: 1
     325: 1
     327: 1
     329: q+1
     333: 1
     335: 1
     336: 1
     338: 1
     340: 1
     342: 1
     343: 1
     344: q+1
     348: 1
     352: 1
     354: 1
     356: 1
     362: 1
     364: 1
     366: 1
     368: q+1
     380: 1
     382: 1
     394: 1
     398: 1
     404: 1
     405: q+1
     407: 1
     409: 1
     413: 1
     415: 1
     417: q+1
     423: 1
     424: 1
     425: 1
     428: 1
     430: 1
     432: 1
     434: 1
     446: 1
     454: 1
     456: 1
     458: 1
     462: 1
     476: 1
     489: 1
     493: 1
     499: 1
     503: 1
     509: 1
     513: 1
     522: 1
     525: 1
     527: 1
     549: 1
     553: 1
     559: 1
     587: 1
     591: 1
     599: 1
     641: 1

642:   0: q^3+3q^2+3q+1
       1: q^2+2q+1
       2: q^3+3q^2+3q+1
       3: q^2+2q+1
       4: q^3+3q^2+3q+1
       5: q^2+2q+1
       6: q+1
       7: q^2+2q+1
       8: q^3+3q^2+3q+1
       9: q+1
      10: q^2+2q+1
      11: q+1
      12: q^4+3q^3+4q^2+3q+1
      13: q+1
      15: q^2+2q+1
      16: q+1
      17: q^2+2q+1
      18: q+1
      19: q^2+2q+1
      20: q+1
      21: q^2+2q+1
      23: q^3+3q^2+3q+1
      24: q^3+3q^2+3q+1
      25: q+1
      26: q+1
      27: q^2+2q+1
      28: q+1
      29: q+1
      30: q^3+3q^2+3q+1
      31: q^3+3q^2+3q+1
      32: q^2+2q+1
      33: q^3+3q^2+3q+1
      34: q^2+2q+1
      35: q^2+2q+1
      36: q+1
      37: q^2+2q+1
      38: q+1
      39: q+1
      40: q+1
      41: q+1
      42: q^2+2q+1
      43: q^2+2q+1
      44: q^3+3q^2+3q+1
      45: q+1
      46: q+1
      47: q^2+2q+1
      49: q^2+2q+1
      51: q+1
      53: q^2+2q+1
      55: q+1
      56: q^2+2q+1
      57: q+1
      58: q^2+2q+1
      60: q^2+2q+1
      61: q^2+2q+1
      62: q+1
      64: q^2+2q+1
      65: q+1
      66: q^3+3q^2+3q+1
      67: q+1
      68: q^2+2q+1
      69: q+1
      70: q^3+3q^2+3q+1
      71: q+1
      72: q+1
      73: 1
      74: q^2+2q+1
      75: 1
      77: q+1
      79: q+1
      81: q^2+2q+1
      83: q+1
      84: q+1
      85: q+1
      86: q+1
      87: q^2+2q+1
      89: q+1
      91: 1
      93: q^2+2q+1
      95: 1
      96: q^2+2q+1
      97: q^2+2q+1
      98: q+1
      99: q+1
     100: q+1
     101: q+1
     102: 1
     103: 1
     104: q^2+2q+1
     105: q^2+2q+1
     106: q+1
     108: q+1
     109: q+1
     110: q^2+2q+1
     112: q^2+2q+1
     113: q+1
     114: q^3+3q^2+3q+1
     115: q+1
     116: q+1
     117: 1
     118: q^2+2q+1
     119: 1
     120: q+1
     121: 1
     122: q^2+2q+1
     123: 1
     125: q+1
     127: 1
     129: 1
     131: q+1
     133: q+1
     135: q+1
     137: q+1
     139: 1
     141: q^2+2q+1
     143: 1
     145: q+1
     146: 1
     147: q+1
     148: q^2+2q+1
     149: q+1
     150: q+1
     151: q+1
     152: q+1
     153: q^2+2q+1
     154: q+1
     155: 1
     156: 1
     157: 1
     158: q+1
     160: 1
     161: 1
     163: q+1
     165: 1
     167: q^2+2q+1
     169: 1
     170: q+1
     171: q+1
     172: q^2+2q+1
     174: q+1
     175: q+1
     176: q^2+2q+1
     178: 1
     179: 1
     180: q+1
     182: q+1
     183: 1
     184: q^2+2q+1
     185: 1
     187: 1
     189: 1
     191: q+1
     193: 1
     195: 1
     197: q+1
     201: q+1
     203: 1
     205: 1
     207: 1
     209: 1
     211: q+1
     216: q+1
     217: 1
     218: 1
     219: q+1
     220: q+1
     221: q+1
     223: q+1
     224: 1
     225: q+1
     226: 1
     228: 1
     229: 1
     231: 1
     233: q+1
     235: 1
     237: q^2+2q+1
     239: 1
     240: 1
     241: q+1
     243: 1
     244: q+1
     246: q+1
     248: q+1
     249: q+1
     250: q^2+2q+1
     252: 1
     253: 1
     254: q+1
     256: 1
     257: 1
     258: q+1
     263: 1
     265: 1
     267: 1
     269: 1
     271: 1
     273: q+1
     275: 1
     281: 1
     283: 1
     287: 1
     289: 1
     291: 1
     293: q+1
     297: 1
     298: q+1
     302: q+1
     306: q+1
     311: q+1
     312: 1
     313: 1
     314: q+1
     315: q+1
     316: q+1
     319: 1
     320: 1
     321: 1
     326: 1
     328: 1
     330: q+1
     333: 1
     335: 1
     336: 1
     338: 1
     340: 1
     342: 1
     343: 1
     344: q+1
     349: 1
     353: 1
     355: 1
     357: 1
     363: 1
     365: 1
     367: 1
     369: q+1
     381: 1
     383: 1
     395: 1
     399: 1
     404: 1
     405: q+1
     407: 1
     409: 1
     414: 1
     416: 1
     418: q+1
     423: 1
     424: 1
     425: 1
     428: 1
     430: 1
     432: 1
     434: 1
     447: 1
     455: 1
     457: 1
     459: 1
     463: 1
     477: 1
     490: 1
     494: 1
     500: 1
     504: 1
     509: 1
     513: 1
     522: 1
     525: 1
     527: 1
     550: 1
     554: 1
     560: 1
     588: 1
     592: 1
     599: 1
     642: 1

643:   0: 2q+1
       1: 2q+1
       2: 2q+1
       3: q^2+q+1
       4: 2q+1
       5: 2q+1
       6: q^2+q+1
       7: 2q+1
       8: 2q+1
       9: q^2+q+1
      10: 2q+1
      11: q^2+q+1
      12: q^2+q+1
      13: q^2+q+1
      14: q^2+q+1
      15: 2q+1
      16: q^2+q+1
      17: 2q+1
      18: q^2+q+1
      19: 2q+1
      20: q^2+q+1
      21: 2q+1
      22: q^2+q+1
      23: 2q+1
      24: 2q+1
      25: q^2+q+1
      26: q^2+q+1
      27: q+1
      28: q+1
      29: q+1
      30: q+1
      31: 2q+1
      32: 2q+1
      33: 2q+1
      34: 2q+1
      35: q+1
      36: q+1
      37: q+1
      38: q+1
      39: q^2+q+1
      40: q+1
      41: q+1
      42: 2q+1
      43: 2q+1
      44: 2q+1
      45: q+1
      46: q+1
      47: q+1
      48: q+1
      50: q+1
      52: q+1
      54: q+1
      56: 2q+1
      57: q^2+q+1
      58: 2q+1
      59: q^2+q+1
      60: 2q+1
      61: 2q+1
      62: q^2+q+1
      63: q^2+q+1
      64: q+1
      65: q+1
      66: q+1
      67: q+1
      68: q+1
      69: q+1
      70: q+1
      71: q+1
      72: 1
      73: 1
      74: 1
      75: 1
      76: q+1
      78: q+1
      80: q+1
      82: q^2+q+1
      83: q+1
      84: q+1
      85: q+1
      86: 1
      87: 1
      88: 1
      90: 1
      92: 1
      94: 1
      96: 2q+1
      97: 2q+1
      98: q+1
      99: q+1
     100: q+1
     101: q+1
     102: 1
     103: 1
     104: 2q+1
     105: 2q+1
     106: q^2+q+1
     107: q^2+q+1
     108: q+1
     109: q+1
     110: q+1
     111: q+1
     112: q+1
     113: q+1
     114: q+1
     115: q+1
     116: 1
     117: 1
     118: 1
     119: 1
     120: 1
     121: 1
     122: 1
     123: 1
     124: 1
     126: 1
     128: 1
     130: q+1
     132: q+1
     134: q^2+q+1
     135: q+1
     136: 1
     138: 1
     140: 1
     142: 1
     144: q+1
     145: q+1
     146: 1
     147: 1
     148: 2q+1
     149: q+1
     150: q+1
     151: 1
     152: q+1
     153: 1
     154: q+1
     155: 1
     156: 1
     157: 1
     158: 1
     160: 1
     161: 1
     162: 1
     164: 1
     166: 1
     168: 1
     170: q+1
     171: q+1
     172: q+1
     173: q+1
     174: q+1
     175: q+1
     176: q+1
     177: q+1
     178: 1
     179: 1
     180: 1
     181: 1
     182: 1
     183: 1
     184: 1
     185: 1
     186: 1
     188: 1
     190: 1
     192: 1
     194: 1
     196: 1
     200: q+1
     202: 1
     204: 1
     206: 1
     208: 1
     210: 1
     212: 1
     214: q+1
     215: q+1
     216: q+1
     217: 1
     218: 1
     219: 1
     220: 1
     221: q+1
     222: q+1
     223: q+1
     224: 1
     225: 1
     226: 1
     227: 1
     228: 1
     229: 1
     231: 1
     232: 1
     234: 1
     236: 1
     238: 1
     240: 1
     241: 1
     243: 1
     248: q+1
     249: q+1
     250: q+1
     251: q+1
     252: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     258: 1
     259: 1
     260: 1
     262: 1
     264: 1
     266: 1
     268: 1
     270: 1
     272: 1
     274: 1
     280: 1
     282: 1
     286: 1
     288: 1
     290: 1
     292: 1
     294: 1
     296: q+1
     297: 1
     298: 1
     309: q+1
     310: q+1
     311: q+1
     312: 1
     313: 1
     314: 1
     315: 1
     317: 1
     318: 1
     319: 1
     320: 1
     321: 1
     325: 1
     327: 1
     329: 1
     331: 1
     333: 1
     334: 1
     335: 1
     336: 1
     342: 1
     343: 1
     344: 1
     345: 1
     346: 1
     348: 1
     350: 1
     352: 1
     354: 1
     356: 1
     362: 1
     364: 1
     366: 1
     378: 1
     380: 1
     382: 1
     390: 1
     391: 1
     403: q+1
     404: 1
     405: 1
     408: 1
     409: 1
     413: 1
     415: 1
     417: 1
     419: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     442: 1
     444: 1
     446: 1
     454: 1
     456: 1
     458: 1
     474: 1
     476: 1
     478: 1
     510: 1
     511: 1
     516: 1
     521: 1
     522: 1
     537: 1
     551: 1
     553: 1
     573: 1
     607: 1
     643: 1

644:   0: 2q+1
       1: 2q+1
       2: 2q+1
       3: q^2+q+1
       4: 2q+1
       5: 2q+1
       6: q^2+q+1
       7: 2q+1
       8: 2q+1
       9: q^2+q+1
      10: 2q+1
      11: q^2+q+1
      12: q^2+q+1
      13: q^2+q+1
      14: q^2+q+1
      15: 2q+1
      16: q^2+q+1
      17: 2q+1
      18: q^2+q+1
      19: 2q+1
      20: q^2+q+1
      21: 2q+1
      22: q^2+q+1
      23: 2q+1
      24: 2q+1
      25: q^2+q+1
      26: q^2+q+1
      27: q+1
      28: q+1
      29: q+1
      30: q+1
      31: 2q+1
      32: 2q+1
      33: 2q+1
      34: 2q+1
      35: q+1
      36: q+1
      37: q+1
      38: q+1
      39: q^2+q+1
      40: q+1
      41: q+1
      42: 2q+1
      43: 2q+1
      44: 2q+1
      45: q+1
      46: q+1
      47: q+1
      49: q+1
      51: q+1
      53: q+1
      55: q+1
      56: 2q+1
      57: q^2+q+1
      58: 2q+1
      59: q^2+q+1
      60: 2q+1
      61: 2q+1
      62: q^2+q+1
      63: q^2+q+1
      64: q+1
      65: q+1
      66: q+1
      67: q+1
      68: q+1
      69: q+1
      70: q+1
      71: q+1
      72: 1
      73: 1
      74: 1
      75: 1
      77: q+1
      79: q+1
      81: q+1
      82: q^2+q+1
      83: q+1
      84: q+1
      85: q+1
      86: 1
      87: 1
      89: 1
      91: 1
      93: 1
      95: 1
      96: 2q+1
      97: 2q+1
      98: q+1
      99: q+1
     100: q+1
     101: q+1
     102: 1
     103: 1
     104: 2q+1
     105: 2q+1
     106: q^2+q+1
     107: q^2+q+1
     108: q+1
     109: q+1
     110: q+1
     111: q+1
     112: q+1
     113: q+1
     114: q+1
     115: q+1
     116: 1
     117: 1
     118: 1
     119: 1
     120: 1
     121: 1
     122: 1
     123: 1
     125: 1
     127: 1
     129: 1
     131: q+1
     133: q+1
     134: q^2+q+1
     135: q+1
     137: 1
     139: 1
     141: 1
     143: 1
     144: q+1
     145: q+1
     146: 1
     147: 1
     148: 2q+1
     149: q+1
     150: q+1
     151: 1
     152: q+1
     153: 1
     154: q+1
     155: 1
     156: 1
     157: 1
     158: 1
     160: 1
     161: 1
     163: 1
     165: 1
     167: 1
     169: 1
     170: q+1
     171: q+1
     172: q+1
     173: q+1
     174: q+1
     175: q+1
     176: q+1
     177: q+1
     178: 1
     179: 1
     180: 1
     181: 1
     182: 1
     183: 1
     184: 1
     185: 1
     187: 1
     189: 1
     191: 1
     193: 1
     195: 1
     197: 1
     201: q+1
     203: 1
     205: 1
     207: 1
     209: 1
     211: 1
     213: 1
     214: q+1
     215: q+1
     216: q+1
     217: 1
     218: 1
     219: 1
     220: 1
     221: q+1
     222: q+1
     223: q+1
     224: 1
     225: 1
     226: 1
     227: 1
     228: 1
     229: 1
     231: 1
     233: 1
     235: 1
     237: 1
     239: 1
     240: 1
     241: 1
     243: 1
     248: q+1
     249: q+1
     250: q+1
     251: q+1
     252: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     258: 1
     259: 1
     261: 1
     263: 1
     265: 1
     267: 1
     269: 1
     271: 1
     273: 1
     275: 1
     281: 1
     283: 1
     287: 1
     289: 1
     291: 1
     293: 1
     295: 1
     296: q+1
     297: 1
     298: 1
     309: q+1
     310: q+1
     311: q+1
     312: 1
     313: 1
     314: 1
     315: 1
     317: 1
     318: 1
     319: 1
     320: 1
     321: 1
     326: 1
     328: 1
     330: 1
     332: 1
     333: 1
     334: 1
     335: 1
     336: 1
     342: 1
     343: 1
     344: 1
     345: 1
     347: 1
     349: 1
     351: 1
     353: 1
     355: 1
     357: 1
     363: 1
     365: 1
     367: 1
     379: 1
     381: 1
     383: 1
     390: 1
     391: 1
     403: q+1
     404: 1
     405: 1
     408: 1
     409: 1
     414: 1
     416: 1
     418: 1
     420: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     443: 1
     445: 1
     447: 1
     455: 1
     457: 1
     459: 1
     475: 1
     477: 1
     479: 1
     510: 1
     511: 1
     516: 1
     521: 1
     522: 1
     538: 1
     552: 1
     554: 1
     574: 1
     607: 1
     644: 1

645:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       6: q+1
       7: q+1
       8: q+1
      11: q+1
      12: q+1
      19: q+1
      20: q+1
      21: q+1
      23: q+1
      24: q+1
      25: q+1
      27: q+1
      28: q+1
      30: q+1
      31: q+1
      32: q+1
      33: q+1
      35: 1
      36: 1
      37: 1
      41: q+1
      43: q+1
      44: q+1
      46: 1
      47: 1
      48: 1
      50: 1
      52: 1
      60: q+1
      61: q+1
      62: q+1
      64: q+1
      65: q+1
      66: q+1
      68: q+1
      69: q+1
      70: q+1
      72: 1
      73: 1
      74: 1
      78: 1
      80: 1
      83: q+1
      86: 1
      87: q+1
      88: 1
      90: 1
      92: 1
      97: q+1
      99: q+1
     101: 1
     103: 1
     108: q+1
     109: q+1
     110: q+1
     112: q+1
     113: q+1
     114: q+1
     116: 1
     117: 1
     118: 1
     120: 1
     121: 1
     122: 1
     124: 1
     128: 1
     132: 1
     136: 1
     138: 1
     140: 1
     145: q+1
     146: 1
     147: q+1
     149: q+1
     151: 1
     153: q+1
     155: 1
     158: 1
     161: 1
     162: 1
     164: 1
     166: 1
     174: q+1
     175: q+1
     176: q+1
     178: 1
     179: 1
     180: 1
     182: 1
     183: 1
     184: 1
     186: 1
     190: 1
     192: 1
     196: 1
     204: 1
     206: 1
     208: 1
     210: 1
     218: 1
     220: q+1
     223: q+1
     224: 1
     225: q+1
     228: 1
     229: 1
     231: 1
     232: 1
     234: 1
     236: 1
     241: 1
     244: 1
     245: 1
     246: 1
     256: 1
     257: 1
     258: 1
     262: 1
     266: 1
     268: 1
     272: 1
     274: 1
     280: 1
     299: 1
     301: 1
     303: 1
     305: 1
     313: 1
     315: q+1
     316: 1
     321: 1
     325: 1
     327: 1
     329: 1
     335: 1
     336: 1
     338: 1
     339: 1
     340: 1
     354: 1
     358: 1
     362: 1
     364: 1
     368: 1
     380: 1
     394: 1
     396: 1
     398: 1
     402: 1
     406: 1
     407: 1
     425: 1
     428: 1
     429: 1
     430: 1
     448: 1
     454: 1
     460: 1
     462: 1
     489: 1
     491: 1
     493: 1
     497: 1
     509: 1
     514: 1
     539: 1
     549: 1
     555: 1
     600: 1
     645: 1

646:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       6: q+1
       7: q+1
       8: q+1
      11: q+1
      12: q+1
      19: q+1
      20: q+1
      21: q+1
      23: q+1
      24: q+1
      25: q+1
      27: q+1
      28: q+1
      30: q+1
      31: q+1
      32: q+1
      33: q+1
      35: 1
      36: 1
      37: 1
      41: q+1
      43: q+1
      44: q+1
      46: 1
      47: 1
      49: 1
      51: 1
      53: 1
      60: q+1
      61: q+1
      62: q+1
      64: q+1
      65: q+1
      66: q+1
      68: q+1
      69: q+1
      70: q+1
      72: 1
      73: 1
      74: 1
      79: 1
      81: 1
      83: q+1
      86: 1
      87: q+1
      89: 1
      91: 1
      93: 1
      97: q+1
      99: q+1
     101: 1
     103: 1
     108: q+1
     109: q+1
     110: q+1
     112: q+1
     113: q+1
     114: q+1
     116: 1
     117: 1
     118: 1
     120: 1
     121: 1
     122: 1
     125: 1
     129: 1
     133: 1
     137: 1
     139: 1
     141: 1
     145: q+1
     146: 1
     147: q+1
     149: q+1
     151: 1
     153: q+1
     155: 1
     158: 1
     161: 1
     163: 1
     165: 1
     167: 1
     174: q+1
     175: q+1
     176: q+1
     178: 1
     179: 1
     180: 1
     182: 1
     183: 1
     184: 1
     187: 1
     191: 1
     193: 1
     197: 1
     205: 1
     207: 1
     209: 1
     211: 1
     218: 1
     220: q+1
     223: q+1
     224: 1
     225: q+1
     228: 1
     229: 1
     231: 1
     233: 1
     235: 1
     237: 1
     241: 1
     244: 1
     245: 1
     246: 1
     256: 1
     257: 1
     258: 1
     263: 1
     267: 1
     269: 1
     273: 1
     275: 1
     281: 1
     299: 1
     302: 1
     304: 1
     306: 1
     313: 1
     315: q+1
     316: 1
     321: 1
     326: 1
     328: 1
     330: 1
     335: 1
     336: 1
     338: 1
     339: 1
     340: 1
     355: 1
     359: 1
     363: 1
     365: 1
     369: 1
     381: 1
     395: 1
     397: 1
     399: 1
     402: 1
     406: 1
     407: 1
     425: 1
     428: 1
     429: 1
     430: 1
     449: 1
     455: 1
     461: 1
     463: 1
     490: 1
     492: 1
     494: 1
     497: 1
     509: 1
     514: 1
     540: 1
     550: 1
     556: 1
     600: 1
     646: 1

647:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: q^3+q^2+q+1
       6: q^2+2q+1
       7: q^2+2q+1
       8: q^2+2q+1
       9: q^3+q^2+q+1
      10: q^3+q^2+q+1
      11: q^3+q^2+q+1
      12: q^2+2q+1
      13: q^2+1
      14: q^2+1
      15: q^2+q+1
      16: q^2+q+1
      17: q^2+q+1
      18: q^2+1
      19: q^2+2q+1
      20: q^2+2q+1
      21: q^2+2q+1
      22: q^2+1
      23: 2q+1
      24: 2q+1
      25: q^2+q+1
      26: q^2+1
      27: q^2+2q+1
      28: q^2+2q+1
      29: q^3+q^2+q+1
      30: q^2+2q+1
      31: q^2+2q+1
      32: q^2+2q+1
      33: q^2+2q+1
      34: q^3+q^2+q+1
      35: q+1
      36: q+1
      37: q+1
      38: q+1
      39: q^2+1
      40: q^2+q+1
      41: q^2+2q+1
      42: q^2+q+1
      43: q^2+2q+1
      44: 2q+1
      45: q+1
      46: q+1
      47: q+1
      48: q+1
      50: q+1
      52: q+1
      54: q+1
      56: q^2+q+1
      57: q^2+q+1
      58: q^2+q+1
      59: q^2+1
      60: 2q+1
      61: 2q+1
      62: q^2+q+1
      63: q^2+1
      64: 2q+1
      65: q^2+q+1
      66: 2q+1
      67: q^2+1
      68: q^2+2q+1
      69: q^2+2q+1
      70: q^2+2q+1
      71: q^3+q^2+q+1
      72: q+1
      73: q+1
      74: q+1
      75: q+1
      76: q+1
      78: q+1
      80: q+1
      82: q^2+1
      83: q+1
      84: q^2+q+1
      85: q^2+1
      86: q+1
      87: 2q+1
      88: q+1
      90: q+1
      92: q+1
      94: q+1
      96: q^2+q+1
      97: 2q+1
      98: q^2+q+1
      99: q^2+2q+1
     100: q+1
     101: q+1
     102: q+1
     103: q+1
     104: q+1
     105: q+1
     106: 1
     107: 1
     108: 2q+1
     109: q^2+q+1
     110: 2q+1
     111: q^2+1
     112: 2q+1
     113: q^2+q+1
     114: 2q+1
     115: q^2+1
     116: 1
     117: 1
     118: 1
     119: 1
     120: q+1
     121: q+1
     122: q+1
     123: q+1
     124: q+1
     126: q+1
     128: q+1
     130: q+1
     132: q+1
     134: 1
     135: 1
     136: 1
     138: 1
     140: 1
     142: 1
     144: q^2+1
     145: q+1
     146: q+1
     147: 2q+1
     148: q+1
     149: q+1
     150: q^2+1
     151: q+1
     152: q^2+q+1
     153: 2q+1
     154: q+1
     155: 1
     156: 1
     157: q+1
     158: 1
     160: q+1
     161: q+1
     162: q+1
     164: q+1
     166: q+1
     168: q+1
     170: q+1
     171: 1
     172: q+1
     173: 1
     174: 2q+1
     175: q^2+q+1
     176: 2q+1
     177: q^2+1
     178: 1
     179: 1
     180: 1
     181: 1
     182: 1
     183: 1
     184: 1
     185: 1
     186: 1
     188: 1
     190: 1
     192: q+1
     194: q+1
     196: q+1
     200: q+1
     202: q+1
     204: q+1
     206: 1
     208: 1
     210: 1
     212: 1
     214: 1
     215: 1
     216: 1
     217: q+1
     218: 1
     219: q+1
     220: q+1
     221: 1
     222: q^2+1
     223: q+1
     224: q+1
     225: 2q+1
     226: 1
     227: 1
     228: 1
     229: 1
     231: 1
     232: 1
     234: 1
     236: 1
     238: 1
     240: 1
     241: 1
     243: q+1
     244: 1
     245: 1
     246: 1
     247: 1
     248: q+1
     249: 1
     250: q+1
     251: 1
     256: 1
     257: 1
     258: 1
     259: 1
     260: 1
     262: 1
     264: 1
     266: 1
     268: 1
     270: q+1
     272: 1
     274: q+1
     280: 1
     282: 1
     286: q+1
     296: 1
     297: 1
     298: 1
     299: 1
     300: 1
     301: 1
     303: 1
     305: 1
     307: 1
     309: 1
     310: 1
     311: 1
     312: q+1
     313: 1
     314: q+1
     315: q+1
     316: 1
     317: 1
     321: 1
     325: 1
     327: 1
     329: 1
     331: 1
     333: 1
     334: 1
     335: 1
     336: 1
     338: 1
     339: 1
     340: 1
     341: 1
     350: 1
     354: 1
     356: 1
     358: 1
     360: 1
     362: 1
     364: 1
     366: q+1
     368: 1
     378: 1
     380: 1
     382: 1
     390: 1
     391: 1
     392: 1
     393: 1
     394: 1
     396: 1
     398: 1
     400: 1
     402: 1
     403: 1
     404: 1
     405: 1
     406: 1
     407: 1
     421: 1
     425: 1
     444: 1
     448: 1
     450: 1
     452: 1
     454: 1
     456: 1
     460: 1
     462: 1
     478: 1
     498: 1
     510: 1
     511: 1
     512: 1
     514: 1
     541: 1
     551: 1
     555: 1
     557: 1
     601: 1
     647: 1

648:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: q^3+q^2+q+1
       6: q^2+2q+1
       7: q^2+2q+1
       8: q^2+2q+1
       9: q^3+q^2+q+1
      10: q^3+q^2+q+1
      11: q^3+q^2+q+1
      12: q^2+2q+1
      13: q^2+1
      14: q^2+1
      15: q^2+q+1
      16: q^2+q+1
      17: q^2+q+1
      18: q^2+1
      19: q^2+2q+1
      20: q^2+2q+1
      21: q^2+2q+1
      22: q^2+1
      23: 2q+1
      24: 2q+1
      25: q^2+q+1
      26: q^2+1
      27: q^2+2q+1
      28: q^2+2q+1
      29: q^3+q^2+q+1
      30: q^2+2q+1
      31: q^2+2q+1
      32: q^2+2q+1
      33: q^2+2q+1
      34: q^3+q^2+q+1
      35: q+1
      36: q+1
      37: q+1
      38: q+1
      39: q^2+1
      40: q^2+q+1
      41: q^2+2q+1
      42: q^2+q+1
      43: q^2+2q+1
      44: 2q+1
      45: q+1
      46: q+1
      47: q+1
      49: q+1
      51: q+1
      53: q+1
      55: q+1
      56: q^2+q+1
      57: q^2+q+1
      58: q^2+q+1
      59: q^2+1
      60: 2q+1
      61: 2q+1
      62: q^2+q+1
      63: q^2+1
      64: 2q+1
      65: q^2+q+1
      66: 2q+1
      67: q^2+1
      68: q^2+2q+1
      69: q^2+2q+1
      70: q^2+2q+1
      71: q^3+q^2+q+1
      72: q+1
      73: q+1
      74: q+1
      75: q+1
      77: q+1
      79: q+1
      81: q+1
      82: q^2+1
      83: q+1
      84: q^2+q+1
      85: q^2+1
      86: q+1
      87: 2q+1
      89: q+1
      91: q+1
      93: q+1
      95: q+1
      96: q^2+q+1
      97: 2q+1
      98: q^2+q+1
      99: q^2+2q+1
     100: q+1
     101: q+1
     102: q+1
     103: q+1
     104: q+1
     105: q+1
     106: 1
     107: 1
     108: 2q+1
     109: q^2+q+1
     110: 2q+1
     111: q^2+1
     112: 2q+1
     113: q^2+q+1
     114: 2q+1
     115: q^2+1
     116: 1
     117: 1
     118: 1
     119: 1
     120: q+1
     121: q+1
     122: q+1
     123: q+1
     125: q+1
     127: q+1
     129: q+1
     131: q+1
     133: q+1
     134: 1
     135: 1
     137: 1
     139: 1
     141: 1
     143: 1
     144: q^2+1
     145: q+1
     146: q+1
     147: 2q+1
     148: q+1
     149: q+1
     150: q^2+1
     151: q+1
     152: q^2+q+1
     153: 2q+1
     154: q+1
     155: 1
     156: 1
     157: q+1
     158: 1
     160: q+1
     161: q+1
     163: q+1
     165: q+1
     167: q+1
     169: q+1
     170: q+1
     171: 1
     172: q+1
     173: 1
     174: 2q+1
     175: q^2+q+1
     176: 2q+1
     177: q^2+1
     178: 1
     179: 1
     180: 1
     181: 1
     182: 1
     183: 1
     184: 1
     185: 1
     187: 1
     189: 1
     191: 1
     193: q+1
     195: q+1
     197: q+1
     201: q+1
     203: q+1
     205: q+1
     207: 1
     209: 1
     211: 1
     213: 1
     214: 1
     215: 1
     216: 1
     217: q+1
     218: 1
     219: q+1
     220: q+1
     221: 1
     222: q^2+1
     223: q+1
     224: q+1
     225: 2q+1
     226: 1
     227: 1
     228: 1
     229: 1
     231: 1
     233: 1
     235: 1
     237: 1
     239: 1
     240: 1
     241: 1
     243: q+1
     244: 1
     245: 1
     246: 1
     247: 1
     248: q+1
     249: 1
     250: q+1
     251: 1
     256: 1
     257: 1
     258: 1
     259: 1
     261: 1
     263: 1
     265: 1
     267: 1
     269: 1
     271: q+1
     273: 1
     275: q+1
     281: 1
     283: 1
     287: q+1
     296: 1
     297: 1
     298: 1
     299: 1
     300: 1
     302: 1
     304: 1
     306: 1
     308: 1
     309: 1
     310: 1
     311: 1
     312: q+1
     313: 1
     314: q+1
     315: q+1
     316: 1
     317: 1
     321: 1
     326: 1
     328: 1
     330: 1
     332: 1
     333: 1
     334: 1
     335: 1
     336: 1
     338: 1
     339: 1
     340: 1
     341: 1
     351: 1
     355: 1
     357: 1
     359: 1
     361: 1
     363: 1
     365: 1
     367: q+1
     369: 1
     379: 1
     381: 1
     383: 1
     390: 1
     391: 1
     392: 1
     393: 1
     395: 1
     397: 1
     399: 1
     401: 1
     402: 1
     403: 1
     404: 1
     405: 1
     406: 1
     407: 1
     421: 1
     425: 1
     445: 1
     449: 1
     451: 1
     453: 1
     455: 1
     457: 1
     461: 1
     463: 1
     479: 1
     498: 1
     510: 1
     511: 1
     512: 1
     514: 1
     542: 1
     552: 1
     556: 1
     558: 1
     601: 1
     648: 1

649:   0: q^3+3q^2+3q+1
       1: q^2+2q+1
       2: q^3+3q^2+3q+1
       3: q^3+3q^2+3q+1
       4: q^3+3q^2+3q+1
       5: q^2+2q+1
       6: q^2+2q+1
       7: q^2+2q+1
       8: q^3+3q^2+3q+1
       9: q^2+2q+1
      10: q^2+2q+1
      11: q^3+q^2+q+1
      12: q^3+3q^2+3q+1
      13: q^3+q^2+q+1
      15: q^2+2q+1
      16: q^2+2q+1
      17: q^2+2q+1
      18: q^3+q^2+q+1
      19: q^2+2q+1
      20: q^2+2q+1
      21: q^2+2q+1
      23: 2q^2+3q+1
      24: 2q^2+3q+1
      25: q^2+q+1
      26: q^2+q+1
      27: q^3+3q^2+3q+1
      28: q^2+2q+1
      29: q^2+2q+1
      30: q^3+3q^2+3q+1
      31: q^3+3q^2+3q+1
      32: q^2+2q+1
      33: q^3+3q^2+3q+1
      34: q^2+2q+1
      35: q^2+2q+1
      36: q+1
      37: q^2+2q+1
      38: q+1
      39: q^2+q+1
      40: q^2+2q+1
      41: q^2+2q+1
      42: q^2+2q+1
      43: q^2+2q+1
      44: 2q^2+3q+1
      45: q+1
      46: q+1
      47: q^2+2q+1
      48: q^2+2q+1
      50: q+1
      52: q^2+2q+1
      54: q+1
      56: q^2+2q+1
      57: q^2+2q+1
      58: q^2+2q+1
      60: 2q+1
      61: 2q+1
      62: q^2+q+1
      64: 2q^2+3q+1
      65: q^2+q+1
      66: 2q^2+3q+1
      67: q^2+q+1
      68: q^3+3q^2+3q+1
      69: q^2+2q+1
      70: q^3+3q^2+3q+1
      71: q^2+2q+1
      72: q^2+2q+1
      73: q+1
      74: q^2+2q+1
      75: q+1
      76: q+1
      78: q+1
      80: q^2+2q+1
      83: q+1
      84: q^2+2q+1
      85: q^2+q+1
      86: q^2+2q+1
      87: 2q^2+3q+1
      88: q^2+2q+1
      90: q+1
      92: q^2+2q+1
      94: q+1
      96: q^2+2q+1
      97: 2q+1
      98: q^2+2q+1
      99: q^2+2q+1
     100: q+1
     101: q+1
     102: q+1
     103: q+1
     104: 2q+1
     105: 2q+1
     106: q^2+q+1
     108: 2q+1
     109: q^2+q+1
     110: 2q+1
     112: 2q^2+3q+1
     113: q^2+q+1
     114: 2q^2+3q+1
     115: q^2+q+1
     116: q+1
     117: 1
     118: q+1
     119: 1
     120: q^2+2q+1
     121: q+1
     122: q^2+2q+1
     123: q+1
     124: q^2+2q+1
     126: q+1
     128: q+1
     130: q+1
     132: q+1
     135: q+1
     136: q+1
     138: 1
     140: q+1
     142: 1
     145: q+1
     146: q+1
     147: 2q+1
     148: 2q+1
     149: q+1
     150: q^2+q+1
     151: q^2+2q+1
     152: q^2+2q+1
     153: 2q^2+3q+1
     154: q+1
     155: 1
     156: 1
     157: q+1
     158: q+1
     160: q+1
     161: q+1
     162: q^2+2q+1
     164: q+1
     166: q^2+2q+1
     168: q+1
     170: 2q+1
     171: q^2+q+1
     172: 2q+1
     174: 2q+1
     175: q^2+q+1
     176: 2q+1
     178: 1
     179: 1
     180: 1
     182: q+1
     183: 1
     184: q+1
     185: 1
     186: 1
     188: 1
     190: q+1
     192: q+1
     194: q+1
     196: q^2+2q+1
     200: q+1
     202: q+1
     204: q+1
     206: 1
     208: 1
     210: 1
     216: q+1
     217: q+1
     218: 1
     219: 2q+1
     220: q+1
     221: q+1
     223: q+1
     224: q+1
     225: 2q+1
     226: 1
     228: 1
     229: 1
     231: 1
     232: q+1
     234: 1
     236: q+1
     238: 1
     240: 1
     241: q+1
     243: q+1
     244: q+1
     245: 1
     246: q+1
     247: 1
     248: 2q+1
     249: q^2+q+1
     250: 2q+1
     252: 1
     253: 1
     254: 1
     256: 1
     257: 1
     258: 1
     262: 1
     264: 1
     266: 1
     268: 1
     270: q+1
     272: q+1
     274: q+1
     280: 1
     282: 1
     286: q+1
     288: 1
     290: 1
     292: 1
     297: 1
     298: q+1
     299: 1
     300: 1
     301: q+1
     303: 1
     305: q+1
     307: 1
     311: q+1
     312: q+1
     313: 1
     314: 2q+1
     315: q+1
     316: q+1
     319: 1
     320: 1
     321: 1
     325: 1
     327: 1
     329: 1
     333: 1
     335: 1
     336: 1
     338: 1
     339: 1
     340: 1
     342: 1
     343: 1
     344: 1
     348: 1
     352: 1
     354: 1
     356: 1
     358: 1
     360: 1
     362: 1
     364: 1
     366: q+1
     368: q+1
     380: 1
     382: 1
     392: 1
     394: 1
     396: 1
     398: 1
     402: 1
     404: 1
     405: q+1
     406: 1
     407: 1
     409: 1
     413: 1
     415: 1
     417: 1
     423: 1
     424: 1
     425: 1
     432: 1
     433: 1
     434: 1
     446: 1
     448: 1
     450: 1
     454: 1
     456: 1
     458: 1
     460: 1
     462: 1
     476: 1
     499: 1
     501: 1
     503: 1
     508: 1
     512: 1
     513: 1
     514: 1
     522: 1
     543: 1
     553: 1
     555: 1
     557: 1
     559: 1
     602: 1
     649: 1

650:   0: q^3+3q^2+3q+1
       1: q^2+2q+1
       2: q^3+3q^2+3q+1
       3: q^3+3q^2+3q+1
       4: q^3+3q^2+3q+1
       5: q^2+2q+1
       6: q^2+2q+1
       7: q^2+2q+1
       8: q^3+3q^2+3q+1
       9: q^2+2q+1
      10: q^2+2q+1
      11: q^3+q^2+q+1
      12: q^3+3q^2+3q+1
      13: q^3+q^2+q+1
      15: q^2+2q+1
      16: q^2+2q+1
      17: q^2+2q+1
      18: q^3+q^2+q+1
      19: q^2+2q+1
      20: q^2+2q+1
      21: q^2+2q+1
      23: 2q^2+3q+1
      24: 2q^2+3q+1
      25: q^2+q+1
      26: q^2+q+1
      27: q^3+3q^2+3q+1
      28: q^2+2q+1
      29: q^2+2q+1
      30: q^3+3q^2+3q+1
      31: q^3+3q^2+3q+1
      32: q^2+2q+1
      33: q^3+3q^2+3q+1
      34: q^2+2q+1
      35: q^2+2q+1
      36: q+1
      37: q^2+2q+1
      38: q+1
      39: q^2+q+1
      40: q^2+2q+1
      41: q^2+2q+1
      42: q^2+2q+1
      43: q^2+2q+1
      44: 2q^2+3q+1
      45: q+1
      46: q+1
      47: q^2+2q+1
      49: q^2+2q+1
      51: q+1
      53: q^2+2q+1
      55: q+1
      56: q^2+2q+1
      57: q^2+2q+1
      58: q^2+2q+1
      60: 2q+1
      61: 2q+1
      62: q^2+q+1
      64: 2q^2+3q+1
      65: q^2+q+1
      66: 2q^2+3q+1
      67: q^2+q+1
      68: q^3+3q^2+3q+1
      69: q^2+2q+1
      70: q^3+3q^2+3q+1
      71: q^2+2q+1
      72: q^2+2q+1
      73: q+1
      74: q^2+2q+1
      75: q+1
      77: q+1
      79: q+1
      81: q^2+2q+1
      83: q+1
      84: q^2+2q+1
      85: q^2+q+1
      86: q^2+2q+1
      87: 2q^2+3q+1
      89: q^2+2q+1
      91: q+1
      93: q^2+2q+1
      95: q+1
      96: q^2+2q+1
      97: 2q+1
      98: q^2+2q+1
      99: q^2+2q+1
     100: q+1
     101: q+1
     102: q+1
     103: q+1
     104: 2q+1
     105: 2q+1
     106: q^2+q+1
     108: 2q+1
     109: q^2+q+1
     110: 2q+1
     112: 2q^2+3q+1
     113: q^2+q+1
     114: 2q^2+3q+1
     115: q^2+q+1
     116: q+1
     117: 1
     118: q+1
     119: 1
     120: q^2+2q+1
     121: q+1
     122: q^2+2q+1
     123: q+1
     125: q^2+2q+1
     127: q+1
     129: q+1
     131: q+1
     133: q+1
     135: q+1
     137: q+1
     139: 1
     141: q+1
     143: 1
     145: q+1
     146: q+1
     147: 2q+1
     148: 2q+1
     149: q+1
     150: q^2+q+1
     151: q^2+2q+1
     152: q^2+2q+1
     153: 2q^2+3q+1
     154: q+1
     155: 1
     156: 1
     157: q+1
     158: q+1
     160: q+1
     161: q+1
     163: q^2+2q+1
     165: q+1
     167: q^2+2q+1
     169: q+1
     170: 2q+1
     171: q^2+q+1
     172: 2q+1
     174: 2q+1
     175: q^2+q+1
     176: 2q+1
     178: 1
     179: 1
     180: 1
     182: q+1
     183: 1
     184: q+1
     185: 1
     187: 1
     189: 1
     191: q+1
     193: q+1
     195: q+1
     197: q^2+2q+1
     201: q+1
     203: q+1
     205: q+1
     207: 1
     209: 1
     211: 1
     216: q+1
     217: q+1
     218: 1
     219: 2q+1
     220: q+1
     221: q+1
     223: q+1
     224: q+1
     225: 2q+1
     226: 1
     228: 1
     229: 1
     231: 1
     233: q+1
     235: 1
     237: q+1
     239: 1
     240: 1
     241: q+1
     243: q+1
     244: q+1
     245: 1
     246: q+1
     247: 1
     248: 2q+1
     249: q^2+q+1
     250: 2q+1
     252: 1
     253: 1
     254: 1
     256: 1
     257: 1
     258: 1
     263: 1
     265: 1
     267: 1
     269: 1
     271: q+1
     273: q+1
     275: q+1
     281: 1
     283: 1
     287: q+1
     289: 1
     291: 1
     293: 1
     297: 1
     298: q+1
     299: 1
     300: 1
     302: q+1
     304: 1
     306: q+1
     308: 1
     311: q+1
     312: q+1
     313: 1
     314: 2q+1
     315: q+1
     316: q+1
     319: 1
     320: 1
     321: 1
     326: 1
     328: 1
     330: 1
     333: 1
     335: 1
     336: 1
     338: 1
     339: 1
     340: 1
     342: 1
     343: 1
     344: 1
     349: 1
     353: 1
     355: 1
     357: 1
     359: 1
     361: 1
     363: 1
     365: 1
     367: q+1
     369: q+1
     381: 1
     383: 1
     392: 1
     395: 1
     397: 1
     399: 1
     402: 1
     404: 1
     405: q+1
     406: 1
     407: 1
     409: 1
     414: 1
     416: 1
     418: 1
     423: 1
     424: 1
     425: 1
     432: 1
     433: 1
     434: 1
     447: 1
     449: 1
     451: 1
     455: 1
     457: 1
     459: 1
     461: 1
     463: 1
     477: 1
     500: 1
     502: 1
     504: 1
     508: 1
     512: 1
     513: 1
     514: 1
     522: 1
     544: 1
     554: 1
     556: 1
     558: 1
     560: 1
     602: 1
     650: 1

651:   0: q^3+3q^2+3q+1
       1: q^2+2q+1
       2: q^3+3q^2+3q+1
       3: q^2+2q+1
       4: q^3+3q^2+3q+1
       5: q^2+2q+1
       6: q+1
       7: q^2+2q+1
       8: q^3+3q^2+3q+1
       9: q+1
      10: q^2+2q+1
      11: q+1
      12: q^4+3q^3+4q^2+3q+1
      13: q+1
      15: q^2+2q+1
      16: q+1
      17: q^2+2q+1
      18: q+1
      19: q^2+2q+1
      20: q+1
      21: q^2+2q+1
      23: q^3+3q^2+3q+1
      24: q^3+3q^2+3q+1
      25: q+1
      26: q+1
      27: q^2+2q+1
      28: q+1
      29: q+1
      30: q^3+3q^2+3q+1
      31: q^2+2q+1
      32: q+1
      33: q^2+2q+1
      34: q+1
      35: q^3+3q^2+3q+1
      36: q^2+2q+1
      37: q^3+3q^2+3q+1
      38: q^2+2q+1
      39: q+1
      40: q+1
      41: q+1
      42: q+1
      43: q+1
      44: q^2+2q+1
      45: q^2+2q+1
      46: q^2+2q+1
      47: q^3+3q^2+3q+1
      48: q^2+2q+1
      50: q+1
      52: q^2+2q+1
      54: q+1
      56: q^2+2q+1
      57: q+1
      58: q^2+2q+1
      60: q^2+2q+1
      61: q^2+2q+1
      62: q+1
      64: q^2+2q+1
      65: q+1
      66: q^3+3q^2+3q+1
      67: q+1
      68: q+1
      69: 1
      70: q^2+2q+1
      71: 1
      72: q^2+2q+1
      73: q+1
      74: q^3+3q^2+3q+1
      75: q+1
      76: q+1
      78: q+1
      80: q^2+2q+1
      83: q+1
      84: q+1
      85: q+1
      86: q^2+2q+1
      87: q+1
      88: q+1
      90: 1
      92: q^2+2q+1
      94: 1
      96: q+1
      97: q+1
      98: 1
      99: 1
     100: q^2+2q+1
     101: q^2+2q+1
     102: q+1
     103: q+1
     104: q^2+2q+1
     105: q^2+2q+1
     106: q+1
     108: q+1
     109: q+1
     110: q^2+2q+1
     112: q+1
     113: 1
     114: q^2+2q+1
     115: 1
     116: q^2+2q+1
     117: q+1
     118: q^3+3q^2+3q+1
     119: q+1
     120: q+1
     121: 1
     122: q^2+2q+1
     123: 1
     124: q+1
     126: 1
     128: 1
     130: q+1
     132: q+1
     135: q+1
     136: q+1
     138: 1
     140: q^2+2q+1
     142: 1
     145: q+1
     146: q+1
     147: 1
     148: q+1
     149: 1
     150: 1
     152: 1
     153: q+1
     154: q^2+2q+1
     155: q+1
     156: q+1
     157: q+1
     158: q^2+2q+1
     159: q+1
     160: 1
     161: 1
     162: q+1
     164: 1
     166: q^2+2q+1
     168: 1
     170: q+1
     171: q+1
     172: q^2+2q+1
     174: 1
     175: 1
     176: q+1
     178: q+1
     179: q+1
     180: q^2+2q+1
     182: q+1
     183: 1
     184: q^2+2q+1
     185: 1
     186: 1
     188: 1
     190: q+1
     192: 1
     194: 1
     198: q+1
     200: q+1
     202: 1
     204: 1
     206: 1
     208: 1
     210: q+1
     216: q+1
     217: q+1
     218: q+1
     219: 1
     220: 1
     221: 1
     223: 1
     225: 1
     226: q+1
     228: q+1
     229: q+1
     230: 1
     231: 1
     232: q+1
     234: 1
     236: q^2+2q+1
     238: 1
     240: 1
     242: q+1
     243: 1
     244: q+1
     246: q+1
     248: 1
     249: 1
     250: q+1
     252: q+1
     253: q+1
     254: q^2+2q+1
     256: 1
     257: 1
     258: q+1
     262: 1
     264: 1
     266: 1
     268: 1
     270: 1
     276: q+1
     278: 1
     280: 1
     282: 1
     286: 1
     288: 1
     290: 1
     292: q+1
     297: q+1
     298: 1
     301: q+1
     305: q+1
     311: 1
     314: 1
     315: 1
     319: q+1
     320: q+1
     321: q+1
     322: 1
     323: 1
     324: q+1
     325: 1
     327: 1
     329: q+1
     333: 1
     335: 1
     337: 1
     338: 1
     340: 1
     342: 1
     343: 1
     344: q+1
     348: 1
     352: 1
     354: 1
     356: 1
     370: 1
     372: 1
     374: 1
     376: q+1
     380: 1
     382: 1
     394: 1
     398: 1
     405: 1
     409: q+1
     410: 1
     412: 1
     413: 1
     415: 1
     417: q+1
     423: 1
     426: 1
     427: 1
     428: 1
     430: 1
     432: 1
     434: 1
     446: 1
     464: 1
     466: 1
     468: 1
     472: 1
     476: 1
     489: 1
     493: 1
     499: 1
     503: 1
     515: 1
     519: 1
     523: 1
     525: 1
     527: 1
     561: 1
     565: 1
     571: 1
     587: 1
     591: 1
     603: 1
     651: 1

652:   0: q^3+3q^2+3q+1
       1: q^2+2q+1
       2: q^3+3q^2+3q+1
       3: q^2+2q+1
       4: q^3+3q^2+3q+1
       5: q^2+2q+1
       6: q+1
       7: q^2+2q+1
       8: q^3+3q^2+3q+1
       9: q+1
      10: q^2+2q+1
      11: q+1
      12: q^4+3q^3+4q^2+3q+1
      13: q+1
      15: q^2+2q+1
      16: q+1
      17: q^2+2q+1
      18: q+1
      19: q^2+2q+1
      20: q+1
      21: q^2+2q+1
      23: q^3+3q^2+3q+1
      24: q^3+3q^2+3q+1
      25: q+1
      26: q+1
      27: q^2+2q+1
      28: q+1
      29: q+1
      30: q^3+3q^2+3q+1
      31: q^2+2q+1
      32: q+1
      33: q^2+2q+1
      34: q+1
      35: q^3+3q^2+3q+1
      36: q^2+2q+1
      37: q^3+3q^2+3q+1
      38: q^2+2q+1
      39: q+1
      40: q+1
      41: q+1
      42: q+1
      43: q+1
      44: q^2+2q+1
      45: q^2+2q+1
      46: q^2+2q+1
      47: q^3+3q^2+3q+1
      49: q^2+2q+1
      51: q+1
      53: q^2+2q+1
      55: q+1
      56: q^2+2q+1
      57: q+1
      58: q^2+2q+1
      60: q^2+2q+1
      61: q^2+2q+1
      62: q+1
      64: q^2+2q+1
      65: q+1
      66: q^3+3q^2+3q+1
      67: q+1
      68: q+1
      69: 1
      70: q^2+2q+1
      71: 1
      72: q^2+2q+1
      73: q+1
      74: q^3+3q^2+3q+1
      75: q+1
      77: q+1
      79: q+1
      81: q^2+2q+1
      83: q+1
      84: q+1
      85: q+1
      86: q^2+2q+1
      87: q+1
      89: q+1
      91: 1
      93: q^2+2q+1
      95: 1
      96: q+1
      97: q+1
      98: 1
      99: 1
     100: q^2+2q+1
     101: q^2+2q+1
     102: q+1
     103: q+1
     104: q^2+2q+1
     105: q^2+2q+1
     106: q+1
     108: q+1
     109: q+1
     110: q^2+2q+1
     112: q+1
     113: 1
     114: q^2+2q+1
     115: 1
     116: q^2+2q+1
     117: q+1
     118: q^3+3q^2+3q+1
     119: q+1
     120: q+1
     121: 1
     122: q^2+2q+1
     123: 1
     125: q+1
     127: 1
     129: 1
     131: q+1
     133: q+1
     135: q+1
     137: q+1
     139: 1
     141: q^2+2q+1
     143: 1
     145: q+1
     146: q+1
     147: 1
     148: q+1
     149: 1
     150: 1
     152: 1
     153: q+1
     154: q^2+2q+1
     155: q+1
     156: q+1
     157: q+1
     158: q^2+2q+1
     159: q+1
     160: 1
     161: 1
     163: q+1
     165: 1
     167: q^2+2q+1
     169: 1
     170: q+1
     171: q+1
     172: q^2+2q+1
     174: 1
     175: 1
     176: q+1
     178: q+1
     179: q+1
     180: q^2+2q+1
     182: q+1
     183: 1
     184: q^2+2q+1
     185: 1
     187: 1
     189: 1
     191: q+1
     193: 1
     195: 1
     199: q+1
     201: q+1
     203: 1
     205: 1
     207: 1
     209: 1
     211: q+1
     216: q+1
     217: q+1
     218: q+1
     219: 1
     220: 1
     221: 1
     223: 1
     225: 1
     226: q+1
     228: q+1
     229: q+1
     230: 1
     231: 1
     233: q+1
     235: 1
     237: q^2+2q+1
     239: 1
     240: 1
     242: q+1
     243: 1
     244: q+1
     246: q+1
     248: 1
     249: 1
     250: q+1
     252: q+1
     253: q+1
     254: q^2+2q+1
     256: 1
     257: 1
     258: q+1
     263: 1
     265: 1
     267: 1
     269: 1
     271: 1
     277: q+1
     279: 1
     281: 1
     283: 1
     287: 1
     289: 1
     291: 1
     293: q+1
     297: q+1
     298: 1
     302: q+1
     306: q+1
     311: 1
     314: 1
     315: 1
     319: q+1
     320: q+1
     321: q+1
     322: 1
     323: 1
     324: q+1
     326: 1
     328: 1
     330: q+1
     333: 1
     335: 1
     337: 1
     338: 1
     340: 1
     342: 1
     343: 1
     344: q+1
     349: 1
     353: 1
     355: 1
     357: 1
     371: 1
     373: 1
     375: 1
     377: q+1
     381: 1
     383: 1
     395: 1
     399: 1
     405: 1
     409: q+1
     410: 1
     412: 1
     414: 1
     416: 1
     418: q+1
     423: 1
     426: 1
     427: 1
     428: 1
     430: 1
     432: 1
     434: 1
     447: 1
     465: 1
     467: 1
     469: 1
     473: 1
     477: 1
     490: 1
     494: 1
     500: 1
     504: 1
     515: 1
     519: 1
     523: 1
     525: 1
     527: 1
     562: 1
     566: 1
     572: 1
     588: 1
     592: 1
     603: 1
     652: 1

653:   0: 2q+1
       1: 2q+1
       2: 2q+1
       3: q^2+q+1
       4: 2q+1
       5: 2q+1
       6: q^2+q+1
       7: 2q+1
       8: 2q+1
       9: q^2+q+1
      10: 2q+1
      11: q^2+q+1
      12: q^2+q+1
      13: q^2+q+1
      14: q^2+q+1
      15: 2q+1
      16: q^2+q+1
      17: 2q+1
      18: q^2+q+1
      19: 2q+1
      20: q^2+q+1
      21: 2q+1
      22: q^2+q+1
      23: 2q+1
      24: 2q+1
      25: q^2+q+1
      26: q^2+q+1
      27: q+1
      28: q+1
      29: q+1
      30: q+1
      31: q+1
      32: q+1
      33: q+1
      34: q+1
      35: 2q+1
      36: 2q+1
      37: 2q+1
      38: 2q+1
      39: q^2+q+1
      40: q+1
      41: q+1
      42: q+1
      43: q+1
      44: q+1
      45: 2q+1
      46: 2q+1
      47: 2q+1
      48: q+1
      50: q+1
      52: q+1
      54: q+1
      56: 2q+1
      57: q^2+q+1
      58: 2q+1
      59: q^2+q+1
      60: 2q+1
      61: 2q+1
      62: q^2+q+1
      63: q^2+q+1
      64: q+1
      65: q+1
      66: q+1
      67: q+1
      68: 1
      69: 1
      70: 1
      71: 1
      72: q+1
      73: q+1
      74: q+1
      75: q+1
      76: q+1
      78: q+1
      80: q+1
      82: q^2+q+1
      83: q+1
      84: q+1
      85: q+1
      86: 1
      87: 1
      88: 1
      90: 1
      92: 1
      94: 1
      96: q+1
      97: q+1
      98: 1
      99: 1
     100: 2q+1
     101: 2q+1
     102: q+1
     103: q+1
     104: 2q+1
     105: 2q+1
     106: q^2+q+1
     107: q^2+q+1
     108: q+1
     109: q+1
     110: q+1
     111: q+1
     112: 1
     113: 1
     114: 1
     115: 1
     116: q+1
     117: q+1
     118: q+1
     119: q+1
     120: 1
     121: 1
     122: 1
     123: 1
     124: 1
     126: 1
     128: 1
     130: q+1
     132: q+1
     134: q^2+q+1
     135: q+1
     136: 1
     138: 1
     140: 1
     142: 1
     144: q+1
     145: q+1
     146: 1
     147: 1
     148: q+1
     149: 1
     150: 1
     152: 1
     153: 1
     154: 2q+1
     155: q+1
     156: q+1
     157: q+1
     158: 1
     159: 1
     160: 1
     161: 1
     162: 1
     164: 1
     166: 1
     168: 1
     170: q+1
     171: q+1
     172: q+1
     173: q+1
     174: 1
     175: 1
     176: 1
     177: 1
     178: q+1
     179: q+1
     180: q+1
     181: q+1
     182: 1
     183: 1
     184: 1
     185: 1
     186: 1
     188: 1
     190: 1
     192: 1
     194: 1
     198: 1
     200: q+1
     202: 1
     204: 1
     206: 1
     208: 1
     210: 1
     212: 1
     214: q+1
     215: q+1
     216: q+1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     223: 1
     225: 1
     226: q+1
     227: q+1
     228: q+1
     229: 1
     230: 1
     231: 1
     232: 1
     234: 1
     236: 1
     238: 1
     240: 1
     242: 1
     243: 1
     248: 1
     249: 1
     250: 1
     251: 1
     252: q+1
     253: q+1
     254: q+1
     255: q+1
     256: 1
     257: 1
     258: 1
     259: 1
     260: 1
     262: 1
     264: 1
     266: 1
     268: 1
     270: 1
     276: 1
     278: 1
     280: 1
     282: 1
     286: 1
     288: 1
     290: 1
     292: 1
     294: 1
     296: q+1
     297: 1
     298: 1
     309: 1
     310: 1
     311: 1
     314: 1
     315: 1
     317: q+1
     318: q+1
     319: q+1
     320: 1
     321: 1
     322: 1
     323: 1
     325: 1
     327: 1
     329: 1
     331: 1
     333: 1
     334: 1
     335: 1
     337: 1
     342: 1
     343: 1
     344: 1
     345: 1
     346: 1
     348: 1
     350: 1
     352: 1
     354: 1
     356: 1
     370: 1
     372: 1
     374: 1
     378: 1
     380: 1
     382: 1
     390: 1
     391: 1
     403: 1
     405: 1
     408: q+1
     409: 1
     410: 1
     413: 1
     415: 1
     417: 1
     419: 1
     421: 1
     422: 1
     423: 1
     426: 1
     427: 1
     442: 1
     444: 1
     446: 1
     464: 1
     466: 1
     468: 1
     474: 1
     476: 1
     478: 1
     511: 1
     516: 1
     517: 1
     521: 1
     523: 1
     537: 1
     563: 1
     565: 1
     573: 1
     608: 1
     653: 1

654:   0: 2q+1
       1: 2q+1
       2: 2q+1
       3: q^2+q+1
       4: 2q+1
       5: 2q+1
       6: q^2+q+1
       7: 2q+1
       8: 2q+1
       9: q^2+q+1
      10: 2q+1
      11: q^2+q+1
      12: q^2+q+1
      13: q^2+q+1
      14: q^2+q+1
      15: 2q+1
      16: q^2+q+1
      17: 2q+1
      18: q^2+q+1
      19: 2q+1
      20: q^2+q+1
      21: 2q+1
      22: q^2+q+1
      23: 2q+1
      24: 2q+1
      25: q^2+q+1
      26: q^2+q+1
      27: q+1
      28: q+1
      29: q+1
      30: q+1
      31: q+1
      32: q+1
      33: q+1
      34: q+1
      35: 2q+1
      36: 2q+1
      37: 2q+1
      38: 2q+1
      39: q^2+q+1
      40: q+1
      41: q+1
      42: q+1
      43: q+1
      44: q+1
      45: 2q+1
      46: 2q+1
      47: 2q+1
      49: q+1
      51: q+1
      53: q+1
      55: q+1
      56: 2q+1
      57: q^2+q+1
      58: 2q+1
      59: q^2+q+1
      60: 2q+1
      61: 2q+1
      62: q^2+q+1
      63: q^2+q+1
      64: q+1
      65: q+1
      66: q+1
      67: q+1
      68: 1
      69: 1
      70: 1
      71: 1
      72: q+1
      73: q+1
      74: q+1
      75: q+1
      77: q+1
      79: q+1
      81: q+1
      82: q^2+q+1
      83: q+1
      84: q+1
      85: q+1
      86: 1
      87: 1
      89: 1
      91: 1
      93: 1
      95: 1
      96: q+1
      97: q+1
      98: 1
      99: 1
     100: 2q+1
     101: 2q+1
     102: q+1
     103: q+1
     104: 2q+1
     105: 2q+1
     106: q^2+q+1
     107: q^2+q+1
     108: q+1
     109: q+1
     110: q+1
     111: q+1
     112: 1
     113: 1
     114: 1
     115: 1
     116: q+1
     117: q+1
     118: q+1
     119: q+1
     120: 1
     121: 1
     122: 1
     123: 1
     125: 1
     127: 1
     129: 1
     131: q+1
     133: q+1
     134: q^2+q+1
     135: q+1
     137: 1
     139: 1
     141: 1
     143: 1
     144: q+1
     145: q+1
     146: 1
     147: 1
     148: q+1
     149: 1
     150: 1
     152: 1
     153: 1
     154: 2q+1
     155: q+1
     156: q+1
     157: q+1
     158: 1
     159: 1
     160: 1
     161: 1
     163: 1
     165: 1
     167: 1
     169: 1
     170: q+1
     171: q+1
     172: q+1
     173: q+1
     174: 1
     175: 1
     176: 1
     177: 1
     178: q+1
     179: q+1
     180: q+1
     181: q+1
     182: 1
     183: 1
     184: 1
     185: 1
     187: 1
     189: 1
     191: 1
     193: 1
     195: 1
     199: 1
     201: q+1
     203: 1
     205: 1
     207: 1
     209: 1
     211: 1
     213: 1
     214: q+1
     215: q+1
     216: q+1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     223: 1
     225: 1
     226: q+1
     227: q+1
     228: q+1
     229: 1
     230: 1
     231: 1
     233: 1
     235: 1
     237: 1
     239: 1
     240: 1
     242: 1
     243: 1
     248: 1
     249: 1
     250: 1
     251: 1
     252: q+1
     253: q+1
     254: q+1
     255: q+1
     256: 1
     257: 1
     258: 1
     259: 1
     261: 1
     263: 1
     265: 1
     267: 1
     269: 1
     271: 1
     277: 1
     279: 1
     281: 1
     283: 1
     287: 1
     289: 1
     291: 1
     293: 1
     295: 1
     296: q+1
     297: 1
     298: 1
     309: 1
     310: 1
     311: 1
     314: 1
     315: 1
     317: q+1
     318: q+1
     319: q+1
     320: 1
     321: 1
     322: 1
     323: 1
     326: 1
     328: 1
     330: 1
     332: 1
     333: 1
     334: 1
     335: 1
     337: 1
     342: 1
     343: 1
     344: 1
     345: 1
     347: 1
     349: 1
     351: 1
     353: 1
     355: 1
     357: 1
     371: 1
     373: 1
     375: 1
     379: 1
     381: 1
     383: 1
     390: 1
     391: 1
     403: 1
     405: 1
     408: q+1
     409: 1
     410: 1
     414: 1
     416: 1
     418: 1
     420: 1
     421: 1
     422: 1
     423: 1
     426: 1
     427: 1
     443: 1
     445: 1
     447: 1
     465: 1
     467: 1
     469: 1
     475: 1
     477: 1
     479: 1
     511: 1
     516: 1
     517: 1
     521: 1
     523: 1
     538: 1
     564: 1
     566: 1
     574: 1
     608: 1
     654: 1

655:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       6: q+1
       7: q+1
       8: q+1
      11: q+1
      12: q+1
      19: q+1
      20: q+1
      21: q+1
      23: q+1
      24: q+1
      25: q+1
      27: q+1
      28: q+1
      30: q+1
      31: 1
      32: 1
      33: 1
      35: q+1
      36: q+1
      37: q+1
      41: q+1
      43: 1
      44: 1
      46: q+1
      47: q+1
      48: 1
      50: 1
      52: 1
      60: q+1
      61: q+1
      62: q+1
      64: q+1
      65: q+1
      66: q+1
      68: 1
      69: 1
      70: 1
      72: q+1
      73: q+1
      74: q+1
      78: 1
      80: 1
      83: q+1
      86: q+1
      87: 1
      88: 1
      90: 1
      92: 1
      97: 1
      99: 1
     101: q+1
     103: q+1
     108: q+1
     109: q+1
     110: q+1
     112: 1
     113: 1
     114: 1
     116: q+1
     117: q+1
     118: q+1
     120: 1
     121: 1
     122: 1
     124: 1
     128: 1
     132: 1
     136: 1
     138: 1
     140: 1
     145: q+1
     146: q+1
     147: 1
     149: 1
     153: 1
     155: q+1
     158: q+1
     159: 1
     161: 1
     162: 1
     164: 1
     166: 1
     174: 1
     175: 1
     176: 1
     178: q+1
     179: q+1
     180: q+1
     182: 1
     183: 1
     184: 1
     186: 1
     190: 1
     192: 1
     198: 1
     204: 1
     206: 1
     208: 1
     210: 1
     218: q+1
     220: 1
     223: 1
     225: 1
     228: q+1
     229: q+1
     230: 1
     231: 1
     232: 1
     234: 1
     236: 1
     242: 1
     244: 1
     245: 1
     246: 1
     256: 1
     257: 1
     258: 1
     262: 1
     266: 1
     268: 1
     276: 1
     278: 1
     280: 1
     299: 1
     301: 1
     303: 1
     305: 1
     315: 1
     321: q+1
     323: 1
     324: 1
     325: 1
     327: 1
     329: 1
     335: 1
     337: 1
     338: 1
     339: 1
     340: 1
     354: 1
     358: 1
     370: 1
     372: 1
     376: 1
     380: 1
     394: 1
     396: 1
     398: 1
     402: 1
     411: 1
     412: 1
     427: 1
     428: 1
     429: 1
     430: 1
     448: 1
     464: 1
     470: 1
     472: 1
     489: 1
     491: 1
     493: 1
     497: 1
     515: 1
     520: 1
     539: 1
     561: 1
     567: 1
     604: 1
     655: 1

656:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       6: q+1
       7: q+1
       8: q+1
      11: q+1
      12: q+1
      19: q+1
      20: q+1
      21: q+1
      23: q+1
      24: q+1
      25: q+1
      27: q+1
      28: q+1
      30: q+1
      31: 1
      32: 1
      33: 1
      35: q+1
      36: q+1
      37: q+1
      41: q+1
      43: 1
      44: 1
      46: q+1
      47: q+1
      49: 1
      51: 1
      53: 1
      60: q+1
      61: q+1
      62: q+1
      64: q+1
      65: q+1
      66: q+1
      68: 1
      69: 1
      70: 1
      72: q+1
      73: q+1
      74: q+1
      79: 1
      81: 1
      83: q+1
      86: q+1
      87: 1
      89: 1
      91: 1
      93: 1
      97: 1
      99: 1
     101: q+1
     103: q+1
     108: q+1
     109: q+1
     110: q+1
     112: 1
     113: 1
     114: 1
     116: q+1
     117: q+1
     118: q+1
     120: 1
     121: 1
     122: 1
     125: 1
     129: 1
     133: 1
     137: 1
     139: 1
     141: 1
     145: q+1
     146: q+1
     147: 1
     149: 1
     153: 1
     155: q+1
     158: q+1
     159: 1
     161: 1
     163: 1
     165: 1
     167: 1
     174: 1
     175: 1
     176: 1
     178: q+1
     179: q+1
     180: q+1
     182: 1
     183: 1
     184: 1
     187: 1
     191: 1
     193: 1
     199: 1
     205: 1
     207: 1
     209: 1
     211: 1
     218: q+1
     220: 1
     223: 1
     225: 1
     228: q+1
     229: q+1
     230: 1
     231: 1
     233: 1
     235: 1
     237: 1
     242: 1
     244: 1
     245: 1
     246: 1
     256: 1
     257: 1
     258: 1
     263: 1
     267: 1
     269: 1
     277: 1
     279: 1
     281: 1
     299: 1
     302: 1
     304: 1
     306: 1
     315: 1
     321: q+1
     323: 1
     324: 1
     326: 1
     328: 1
     330: 1
     335: 1
     337: 1
     338: 1
     339: 1
     340: 1
     355: 1
     359: 1
     371: 1
     373: 1
     377: 1
     381: 1
     395: 1
     397: 1
     399: 1
     402: 1
     411: 1
     412: 1
     427: 1
     428: 1
     429: 1
     430: 1
     449: 1
     465: 1
     471: 1
     473: 1
     490: 1
     492: 1
     494: 1
     497: 1
     515: 1
     520: 1
     540: 1
     562: 1
     568: 1
     604: 1
     656: 1

657:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: q^3+q^2+q+1
       6: q^2+2q+1
       7: q^2+2q+1
       8: q^2+2q+1
       9: q^3+q^2+q+1
      10: q^3+q^2+q+1
      11: q^3+q^2+q+1
      12: q^2+2q+1
      13: q^2+1
      14: q^2+1
      15: q^2+q+1
      16: q^2+q+1
      17: q^2+q+1
      18: q^2+1
      19: q^2+2q+1
      20: q^2+2q+1
      21: q^2+2q+1
      22: q^2+1
      23: 2q+1
      24: 2q+1
      25: q^2+q+1
      26: q^2+1
      27: q^2+2q+1
      28: q^2+2q+1
      29: q^3+q^2+q+1
      30: q^2+2q+1
      31: q+1
      32: q+1
      33: q+1
      34: q+1
      35: q^2+2q+1
      36: q^2+2q+1
      37: q^2+2q+1
      38: q^3+q^2+q+1
      39: q^2+1
      40: q^2+q+1
      41: q^2+2q+1
      42: q+1
      43: q+1
      44: q+1
      45: q^2+q+1
      46: q^2+2q+1
      47: 2q+1
      48: q+1
      50: q+1
      52: q+1
      54: q+1
      56: q^2+q+1
      57: q^2+q+1
      58: q^2+q+1
      59: q^2+1
      60: 2q+1
      61: 2q+1
      62: q^2+q+1
      63: q^2+1
      64: 2q+1
      65: q^2+q+1
      66: 2q+1
      67: q^2+1
      68: q+1
      69: q+1
      70: q+1
      71: q+1
      72: q^2+2q+1
      73: q^2+2q+1
      74: q^2+2q+1
      75: q^3+q^2+q+1
      76: q+1
      78: q+1
      80: q+1
      82: q^2+1
      83: q+1
      84: q^2+q+1
      85: q^2+1
      86: 2q+1
      87: q+1
      88: q+1
      90: q+1
      92: q+1
      94: q+1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     100: q^2+q+1
     101: 2q+1
     102: q^2+q+1
     103: q^2+2q+1
     104: q+1
     105: q+1
     106: 1
     107: 1
     108: 2q+1
     109: q^2+q+1
     110: 2q+1
     111: q^2+1
     112: 1
     113: 1
     114: 1
     115: 1
     116: 2q+1
     117: q^2+q+1
     118: 2q+1
     119: q^2+1
     120: q+1
     121: q+1
     122: q+1
     123: q+1
     124: q+1
     126: q+1
     128: q+1
     130: q+1
     132: q+1
     134: 1
     135: 1
     136: 1
     138: 1
     140: 1
     142: 1
     144: q^2+1
     145: q+1
     146: 2q+1
     147: q+1
     148: q+1
     149: 1
     150: 1
     152: q+1
     153: 1
     154: q+1
     155: q+1
     156: q^2+1
     157: q^2+q+1
     158: 2q+1
     159: q+1
     160: q+1
     161: q+1
     162: q+1
     164: q+1
     166: q+1
     168: q+1
     170: q+1
     171: 1
     172: q+1
     173: 1
     174: 1
     175: 1
     176: 1
     177: 1
     178: 2q+1
     179: q^2+q+1
     180: 2q+1
     181: q^2+1
     182: 1
     183: 1
     184: 1
     185: 1
     186: 1
     188: 1
     190: 1
     192: q+1
     194: q+1
     198: q+1
     200: q+1
     202: q+1
     204: q+1
     206: 1
     208: 1
     210: 1
     212: 1
     214: 1
     215: 1
     216: 1
     217: q+1
     218: q+1
     219: q+1
     220: 1
     221: 1
     222: 1
     223: 1
     225: 1
     226: 1
     227: q^2+1
     228: q+1
     229: 2q+1
     230: q+1
     231: 1
     232: 1
     234: 1
     236: 1
     238: 1
     240: 1
     242: 1
     243: q+1
     244: 1
     245: 1
     246: 1
     247: 1
     252: q+1
     253: 1
     254: q+1
     255: 1
     256: 1
     257: 1
     258: 1
     259: 1
     260: 1
     262: 1
     264: 1
     266: 1
     268: 1
     270: q+1
     276: 1
     278: q+1
     280: 1
     282: 1
     286: q+1
     296: 1
     297: 1
     298: 1
     299: 1
     300: 1
     301: 1
     303: 1
     305: 1
     307: 1
     309: 1
     315: 1
     317: 1
     318: 1
     319: 1
     320: q+1
     321: q+1
     322: q+1
     323: 1
     324: 1
     325: 1
     327: 1
     329: 1
     331: 1
     333: 1
     334: 1
     335: 1
     337: 1
     338: 1
     339: 1
     340: 1
     341: 1
     350: 1
     354: 1
     356: 1
     358: 1
     360: 1
     370: 1
     372: 1
     374: q+1
     376: 1
     378: 1
     380: 1
     382: 1
     390: 1
     391: 1
     392: 1
     393: 1
     394: 1
     396: 1
     398: 1
     400: 1
     402: 1
     408: 1
     409: 1
     410: 1
     411: 1
     412: 1
     421: 1
     427: 1
     444: 1
     448: 1
     450: 1
     452: 1
     464: 1
     466: 1
     470: 1
     472: 1
     478: 1
     498: 1
     516: 1
     517: 1
     518: 1
     520: 1
     541: 1
     563: 1
     567: 1
     569: 1
     605: 1
     657: 1

658:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: q^3+q^2+q+1
       6: q^2+2q+1
       7: q^2+2q+1
       8: q^2+2q+1
       9: q^3+q^2+q+1
      10: q^3+q^2+q+1
      11: q^3+q^2+q+1
      12: q^2+2q+1
      13: q^2+1
      14: q^2+1
      15: q^2+q+1
      16: q^2+q+1
      17: q^2+q+1
      18: q^2+1
      19: q^2+2q+1
      20: q^2+2q+1
      21: q^2+2q+1
      22: q^2+1
      23: 2q+1
      24: 2q+1
      25: q^2+q+1
      26: q^2+1
      27: q^2+2q+1
      28: q^2+2q+1
      29: q^3+q^2+q+1
      30: q^2+2q+1
      31: q+1
      32: q+1
      33: q+1
      34: q+1
      35: q^2+2q+1
      36: q^2+2q+1
      37: q^2+2q+1
      38: q^3+q^2+q+1
      39: q^2+1
      40: q^2+q+1
      41: q^2+2q+1
      42: q+1
      43: q+1
      44: q+1
      45: q^2+q+1
      46: q^2+2q+1
      47: 2q+1
      49: q+1
      51: q+1
      53: q+1
      55: q+1
      56: q^2+q+1
      57: q^2+q+1
      58: q^2+q+1
      59: q^2+1
      60: 2q+1
      61: 2q+1
      62: q^2+q+1
      63: q^2+1
      64: 2q+1
      65: q^2+q+1
      66: 2q+1
      67: q^2+1
      68: q+1
      69: q+1
      70: q+1
      71: q+1
      72: q^2+2q+1
      73: q^2+2q+1
      74: q^2+2q+1
      75: q^3+q^2+q+1
      77: q+1
      79: q+1
      81: q+1
      82: q^2+1
      83: q+1
      84: q^2+q+1
      85: q^2+1
      86: 2q+1
      87: q+1
      89: q+1
      91: q+1
      93: q+1
      95: q+1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     100: q^2+q+1
     101: 2q+1
     102: q^2+q+1
     103: q^2+2q+1
     104: q+1
     105: q+1
     106: 1
     107: 1
     108: 2q+1
     109: q^2+q+1
     110: 2q+1
     111: q^2+1
     112: 1
     113: 1
     114: 1
     115: 1
     116: 2q+1
     117: q^2+q+1
     118: 2q+1
     119: q^2+1
     120: q+1
     121: q+1
     122: q+1
     123: q+1
     125: q+1
     127: q+1
     129: q+1
     131: q+1
     133: q+1
     134: 1
     135: 1
     137: 1
     139: 1
     141: 1
     143: 1
     144: q^2+1
     145: q+1
     146: 2q+1
     147: q+1
     148: q+1
     149: 1
     150: 1
     152: q+1
     153: 1
     154: q+1
     155: q+1
     156: q^2+1
     157: q^2+q+1
     158: 2q+1
     159: q+1
     160: q+1
     161: q+1
     163: q+1
     165: q+1
     167: q+1
     169: q+1
     170: q+1
     171: 1
     172: q+1
     173: 1
     174: 1
     175: 1
     176: 1
     177: 1
     178: 2q+1
     179: q^2+q+1
     180: 2q+1
     181: q^2+1
     182: 1
     183: 1
     184: 1
     185: 1
     187: 1
     189: 1
     191: 1
     193: q+1
     195: q+1
     199: q+1
     201: q+1
     203: q+1
     205: q+1
     207: 1
     209: 1
     211: 1
     213: 1
     214: 1
     215: 1
     216: 1
     217: q+1
     218: q+1
     219: q+1
     220: 1
     221: 1
     222: 1
     223: 1
     225: 1
     226: 1
     227: q^2+1
     228: q+1
     229: 2q+1
     230: q+1
     231: 1
     233: 1
     235: 1
     237: 1
     239: 1
     240: 1
     242: 1
     243: q+1
     244: 1
     245: 1
     246: 1
     247: 1
     252: q+1
     253: 1
     254: q+1
     255: 1
     256: 1
     257: 1
     258: 1
     259: 1
     261: 1
     263: 1
     265: 1
     267: 1
     269: 1
     271: q+1
     277: 1
     279: q+1
     281: 1
     283: 1
     287: q+1
     296: 1
     297: 1
     298: 1
     299: 1
     300: 1
     302: 1
     304: 1
     306: 1
     308: 1
     309: 1
     315: 1
     317: 1
     318: 1
     319: 1
     320: q+1
     321: q+1
     322: q+1
     323: 1
     324: 1
     326: 1
     328: 1
     330: 1
     332: 1
     333: 1
     334: 1
     335: 1
     337: 1
     338: 1
     339: 1
     340: 1
     341: 1
     351: 1
     355: 1
     357: 1
     359: 1
     361: 1
     371: 1
     373: 1
     375: q+1
     377: 1
     379: 1
     381: 1
     383: 1
     390: 1
     391: 1
     392: 1
     393: 1
     395: 1
     397: 1
     399: 1
     401: 1
     402: 1
     408: 1
     409: 1
     410: 1
     411: 1
     412: 1
     421: 1
     427: 1
     445: 1
     449: 1
     451: 1
     453: 1
     465: 1
     467: 1
     471: 1
     473: 1
     479: 1
     498: 1
     516: 1
     517: 1
     518: 1
     520: 1
     542: 1
     564: 1
     568: 1
     570: 1
     605: 1
     658: 1

659:   0: q^3+3q^2+3q+1
       1: q^2+2q+1
       2: q^3+3q^2+3q+1
       3: q^3+3q^2+3q+1
       4: q^3+3q^2+3q+1
       5: q^2+2q+1
       6: q^2+2q+1
       7: q^2+2q+1
       8: q^3+3q^2+3q+1
       9: q^2+2q+1
      10: q^2+2q+1
      11: q^3+q^2+q+1
      12: q^3+3q^2+3q+1
      13: q^3+q^2+q+1
      15: q^2+2q+1
      16: q^2+2q+1
      17: q^2+2q+1
      18: q^3+q^2+q+1
      19: q^2+2q+1
      20: q^2+2q+1
      21: q^2+2q+1
      23: 2q^2+3q+1
      24: 2q^2+3q+1
      25: q^2+q+1
      26: q^2+q+1
      27: q^3+3q^2+3q+1
      28: q^2+2q+1
      29: q^2+2q+1
      30: q^3+3q^2+3q+1
      31: q^2+2q+1
      32: q+1
      33: q^2+2q+1
      34: q+1
      35: q^3+3q^2+3q+1
      36: q^2+2q+1
      37: q^3+3q^2+3q+1
      38: q^2+2q+1
      39: q^2+q+1
      40: q^2+2q+1
      41: q^2+2q+1
      42: q+1
      43: q+1
      44: q^2+2q+1
      45: q^2+2q+1
      46: q^2+2q+1
      47: 2q^2+3q+1
      48: q^2+2q+1
      50: q+1
      52: q^2+2q+1
      54: q+1
      56: q^2+2q+1
      57: q^2+2q+1
      58: q^2+2q+1
      60: 2q+1
      61: 2q+1
      62: q^2+q+1
      64: 2q^2+3q+1
      65: q^2+q+1
      66: 2q^2+3q+1
      67: q^2+q+1
      68: q^2+2q+1
      69: q+1
      70: q^2+2q+1
      71: q+1
      72: q^3+3q^2+3q+1
      73: q^2+2q+1
      74: q^3+3q^2+3q+1
      75: q^2+2q+1
      76: q+1
      78: q+1
      80: q^2+2q+1
      83: q+1
      84: q^2+2q+1
      85: q^2+q+1
      86: 2q^2+3q+1
      87: q^2+2q+1
      88: q^2+2q+1
      90: q+1
      92: q^2+2q+1
      94: q+1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     100: q^2+2q+1
     101: 2q+1
     102: q^2+2q+1
     103: q^2+2q+1
     104: 2q+1
     105: 2q+1
     106: q^2+q+1
     108: 2q+1
     109: q^2+q+1
     110: 2q+1
     112: q+1
     113: 1
     114: q+1
     115: 1
     116: 2q^2+3q+1
     117: q^2+q+1
     118: 2q^2+3q+1
     119: q^2+q+1
     120: q^2+2q+1
     121: q+1
     122: q^2+2q+1
     123: q+1
     124: q^2+2q+1
     126: q+1
     128: q+1
     130: q+1
     132: q+1
     135: q+1
     136: q+1
     138: 1
     140: q+1
     142: 1
     145: q+1
     146: 2q+1
     147: q+1
     148: q+1
     149: 1
     150: 1
     152: q+1
     153: q+1
     154: 2q+1
     155: q+1
     156: q^2+q+1
     157: q^2+2q+1
     158: 2q^2+3q+1
     159: q^2+2q+1
     160: q+1
     161: q+1
     162: q^2+2q+1
     164: q+1
     166: q^2+2q+1
     168: q+1
     170: 2q+1
     171: q^2+q+1
     172: 2q+1
     174: 1
     175: 1
     176: 1
     178: 2q+1
     179: q^2+q+1
     180: 2q+1
     182: q+1
     183: 1
     184: q+1
     185: 1
     186: 1
     188: 1
     190: q+1
     192: q+1
     194: q+1
     198: q^2+2q+1
     200: q+1
     202: q+1
     204: q+1
     206: 1
     208: 1
     210: 1
     216: q+1
     217: 2q+1
     218: q+1
     219: q+1
     220: 1
     221: 1
     223: 1
     225: 1
     226: q+1
     228: q+1
     229: 2q+1
     230: q+1
     231: 1
     232: q+1
     234: 1
     236: q+1
     238: 1
     240: 1
     242: q+1
     243: q+1
     244: q+1
     245: 1
     246: q+1
     247: 1
     248: 1
     249: 1
     250: 1
     252: 2q+1
     253: q^2+q+1
     254: 2q+1
     256: 1
     257: 1
     258: 1
     262: 1
     264: 1
     266: 1
     268: 1
     270: q+1
     276: q+1
     278: q+1
     280: 1
     282: 1
     286: q+1
     288: 1
     290: 1
     292: 1
     297: q+1
     298: 1
     299: 1
     300: 1
     301: q+1
     303: 1
     305: q+1
     307: 1
     311: 1
     314: 1
     315: 1
     319: q+1
     320: 2q+1
     321: q+1
     322: q+1
     323: 1
     324: q+1
     325: 1
     327: 1
     329: 1
     333: 1
     335: 1
     337: 1
     338: 1
     339: 1
     340: 1
     342: 1
     343: 1
     344: 1
     348: 1
     352: 1
     354: 1
     356: 1
     358: 1
     360: 1
     370: 1
     372: 1
     374: q+1
     376: q+1
     380: 1
     382: 1
     392: 1
     394: 1
     396: 1
     398: 1
     402: 1
     405: 1
     409: q+1
     410: 1
     411: 1
     412: 1
     413: 1
     415: 1
     417: 1
     423: 1
     426: 1
     427: 1
     432: 1
     433: 1
     434: 1
     446: 1
     448: 1
     450: 1
     464: 1
     466: 1
     468: 1
     470: 1
     472: 1
     476: 1
     499: 1
     501: 1
     503: 1
     508: 1
     518: 1
     519: 1
     520: 1
     523: 1
     543: 1
     565: 1
     567: 1
     569: 1
     571: 1
     606: 1
     659: 1

660:   0: q^3+3q^2+3q+1
       1: q^2+2q+1
       2: q^3+3q^2+3q+1
       3: q^3+3q^2+3q+1
       4: q^3+3q^2+3q+1
       5: q^2+2q+1
       6: q^2+2q+1
       7: q^2+2q+1
       8: q^3+3q^2+3q+1
       9: q^2+2q+1
      10: q^2+2q+1
      11: q^3+q^2+q+1
      12: q^3+3q^2+3q+1
      13: q^3+q^2+q+1
      15: q^2+2q+1
      16: q^2+2q+1
      17: q^2+2q+1
      18: q^3+q^2+q+1
      19: q^2+2q+1
      20: q^2+2q+1
      21: q^2+2q+1
      23: 2q^2+3q+1
      24: 2q^2+3q+1
      25: q^2+q+1
      26: q^2+q+1
      27: q^3+3q^2+3q+1
      28: q^2+2q+1
      29: q^2+2q+1
      30: q^3+3q^2+3q+1
      31: q^2+2q+1
      32: q+1
      33: q^2+2q+1
      34: q+1
      35: q^3+3q^2+3q+1
      36: q^2+2q+1
      37: q^3+3q^2+3q+1
      38: q^2+2q+1
      39: q^2+q+1
      40: q^2+2q+1
      41: q^2+2q+1
      42: q+1
      43: q+1
      44: q^2+2q+1
      45: q^2+2q+1
      46: q^2+2q+1
      47: 2q^2+3q+1
      49: q^2+2q+1
      51: q+1
      53: q^2+2q+1
      55: q+1
      56: q^2+2q+1
      57: q^2+2q+1
      58: q^2+2q+1
      60: 2q+1
      61: 2q+1
      62: q^2+q+1
      64: 2q^2+3q+1
      65: q^2+q+1
      66: 2q^2+3q+1
      67: q^2+q+1
      68: q^2+2q+1
      69: q+1
      70: q^2+2q+1
      71: q+1
      72: q^3+3q^2+3q+1
      73: q^2+2q+1
      74: q^3+3q^2+3q+1
      75: q^2+2q+1
      77: q+1
      79: q+1
      81: q^2+2q+1
      83: q+1
      84: q^2+2q+1
      85: q^2+q+1
      86: 2q^2+3q+1
      87: q^2+2q+1
      89: q^2+2q+1
      91: q+1
      93: q^2+2q+1
      95: q+1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     100: q^2+2q+1
     101: 2q+1
     102: q^2+2q+1
     103: q^2+2q+1
     104: 2q+1
     105: 2q+1
     106: q^2+q+1
     108: 2q+1
     109: q^2+q+1
     110: 2q+1
     112: q+1
     113: 1
     114: q+1
     115: 1
     116: 2q^2+3q+1
     117: q^2+q+1
     118: 2q^2+3q+1
     119: q^2+q+1
     120: q^2+2q+1
     121: q+1
     122: q^2+2q+1
     123: q+1
     125: q^2+2q+1
     127: q+1
     129: q+1
     131: q+1
     133: q+1
     135: q+1
     137: q+1
     139: 1
     141: q+1
     143: 1
     145: q+1
     146: 2q+1
     147: q+1
     148: q+1
     149: 1
     150: 1
     152: q+1
     153: q+1
     154: 2q+1
     155: q+1
     156: q^2+q+1
     157: q^2+2q+1
     158: 2q^2+3q+1
     159: q^2+2q+1
     160: q+1
     161: q+1
     163: q^2+2q+1
     165: q+1
     167: q^2+2q+1
     169: q+1
     170: 2q+1
     171: q^2+q+1
     172: 2q+1
     174: 1
     175: 1
     176: 1
     178: 2q+1
     179: q^2+q+1
     180: 2q+1
     182: q+1
     183: 1
     184: q+1
     185: 1
     187: 1
     189: 1
     191: q+1
     193: q+1
     195: q+1
     199: q^2+2q+1
     201: q+1
     203: q+1
     205: q+1
     207: 1
     209: 1
     211: 1
     216: q+1
     217: 2q+1
     218: q+1
     219: q+1
     220: 1
     221: 1
     223: 1
     225: 1
     226: q+1
     228: q+1
     229: 2q+1
     230: q+1
     231: 1
     233: q+1
     235: 1
     237: q+1
     239: 1
     240: 1
     242: q+1
     243: q+1
     244: q+1
     245: 1
     246: q+1
     247: 1
     248: 1
     249: 1
     250: 1
     252: 2q+1
     253: q^2+q+1
     254: 2q+1
     256: 1
     257: 1
     258: 1
     263: 1
     265: 1
     267: 1
     269: 1
     271: q+1
     277: q+1
     279: q+1
     281: 1
     283: 1
     287: q+1
     289: 1
     291: 1
     293: 1
     297: q+1
     298: 1
     299: 1
     300: 1
     302: q+1
     304: 1
     306: q+1
     308: 1
     311: 1
     314: 1
     315: 1
     319: q+1
     320: 2q+1
     321: q+1
     322: q+1
     323: 1
     324: q+1
     326: 1
     328: 1
     330: 1
     333: 1
     335: 1
     337: 1
     338: 1
     339: 1
     340: 1
     342: 1
     343: 1
     344: 1
     349: 1
     353: 1
     355: 1
     357: 1
     359: 1
     361: 1
     371: 1
     373: 1
     375: q+1
     377: q+1
     381: 1
     383: 1
     392: 1
     395: 1
     397: 1
     399: 1
     402: 1
     405: 1
     409: q+1
     410: 1
     411: 1
     412: 1
     414: 1
     416: 1
     418: 1
     423: 1
     426: 1
     427: 1
     432: 1
     433: 1
     434: 1
     447: 1
     449: 1
     451: 1
     465: 1
     467: 1
     469: 1
     471: 1
     473: 1
     477: 1
     500: 1
     502: 1
     504: 1
     508: 1
     518: 1
     519: 1
     520: 1
     523: 1
     544: 1
     566: 1
     568: 1
     570: 1
     572: 1
     606: 1
     660: 1

661:   0: q^2+4q+1
       1: q^2+2q+1
       2: q^2+4q+1
       3: q^2+2q+1
       4: q^2+4q+1
       5: q^2+2q+1
       6: q+1
       7: q^2+2q+1
       8: q^2+4q+1
       9: q+1
      10: q^2+2q+1
      11: q+1
      12: q^3+3q^2+3q+1
      13: q+1
      15: q^2+2q+1
      16: q+1
      17: q^2+2q+1
      18: q+1
      19: 2q+1
      20: q+1
      21: 2q+1
      23: q^2+4q+1
      24: q^2+4q+1
      25: q+1
      26: q+1
      27: 2q+1
      28: q+1
      29: q+1
      30: q^2+3q+1
      31: q^2+4q+1
      32: q^2+2q+1
      33: q^2+4q+1
      34: q^2+2q+1
      35: q^2+4q+1
      36: q^2+2q+1
      37: q^2+4q+1
      38: q^2+2q+1
      39: q+1
      40: q+1
      41: q+1
      42: q^2+2q+1
      43: 2q+1
      44: q^2+4q+1
      45: q^2+2q+1
      46: 2q+1
      47: q^2+4q+1
      48: q^2+2q+1
      49: 2q
      50: q+1
      51: q^2+q
      52: q^2+2q+1
      53: 2q
      54: q+1
      55: q^2+q
      56: 2q+1
      57: q+1
      58: 2q+1
      60: 2q+1
      61: 2q+1
      62: q+1
      64: 2q+1
      65: q+1
      66: q^2+3q+1
      67: q+1
      68: 2q+1
      69: q+1
      70: q^2+3q+1
      71: q+1
      72: 2q+1
      73: q+1
      74: q^2+3q+1
      75: q+1
      76: q+1
      77: q^2+q
      78: q+1
      79: q
      80: q^2+2q+1
      81: 2q
      83: q+1
      84: q+1
      85: q+1
      86: q+1
      87: q+1
      88: 1
      89: q
      90: 1
      91: q
      92: q^2+q+1
      93: q
      94: 1
      95: q
      96: 2q+1
      97: 2q+1
      98: q+1
      99: q+1
     100: 2q+1
     101: 2q+1
     102: q+1
     103: q+1
     104: 2q+1
     105: 2q+1
     106: q+1
     108: 1
     109: 1
     110: q+1
     112: 2q+1
     113: q+1
     114: q^2+3q+1
     115: q+1
     116: 2q+1
     117: q+1
     118: q^2+3q+1
     119: q+1
     120: 2q+1
     121: q+1
     122: q^2+3q+1
     123: q+1
     124: 1
     126: 1
     127: q
     128: 1
     129: q
     130: q+1
     131: q
     132: q+1
     133: q
     135: q+1
     136: 1
     137: q
     138: 1
     139: q
     140: q^2+q+1
     141: q
     142: 1
     143: q
     145: 1
     146: 1
     147: 1
     148: 2q+1
     149: q+1
     150: q+1
     151: q+1
     152: q+1
     153: q+1
     154: 2q+1
     155: q+1
     156: q+1
     157: q+1
     158: q+1
     159: q+1
     160: q+1
     161: q+1
     162: 1
     163: q
     164: 1
     165: q
     166: q^2+q+1
     167: q
     168: 1
     169: q
     170: 1
     171: 1
     172: q+1
     174: 1
     175: 1
     176: q+1
     178: 1
     179: 1
     180: q+1
     182: 2q+1
     183: q+1
     184: q^2+3q+1
     185: q+1
     186: 1
     187: q
     188: 1
     189: q
     190: 1
     192: 1
     194: 1
     195: q
     196: 1
     198: 1
     200: q+1
     201: q
     202: 1
     203: q
     204: 1
     205: q
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: q+1
     223: 1
     224: 1
     225: 1
     226: q+1
     228: 1
     229: 1
     230: 1
     231: q+1
     232: 1
     233: q
     234: 1
     235: q
     236: q^2+q+1
     237: q
     238: 1
     239: q
     240: q+1
     241: q+1
     242: q+1
     243: q+1
     244: 2
     246: 2
     248: 1
     249: 1
     250: q+1
     252: 1
     253: 1
     254: q+1
     256: 1
     257: 1
     258: q+1
     264: 1
     265: q
     268: 1
     270: 1
     272: 1
     274: 1
     276: 1
     278: 1
     280: 1
     281: q
     282: 1
     283: q
     284: 1
     286: 1
     287: q
     297: 1
     298: 1
     301: 1
     302: 1
     305: 1
     306: 1
     311: 1
     312: 1
     313: 1
     314: 1
     315: 1
     316: 2
     319: 1
     320: 1
     321: 1
     322: 1
     323: 1
     324: 2
     333: q+1
     335: 1
     336: 1
     337: 1
     338: 1
     340: 1
     342: 1
     343: 1
     344: q+1
     356: 1
     362: 1
     366: 1
     368: 1
     369: 1
     370: 1
     374: 1
     376: 1
     377: 1
     382: 1
     383: q
     384: 1
     386: 1
     388: 2
     404: 1
     405: 1
     407: 1
     409: 1
     410: 1
     412: 1
     423: 1
     424: 1
     425: 1
     426: 1
     427: 1
     428: 1
     430: 1
     432: 1
     434: 1
     436: 1
     437: 1
     456: 1
     466: 1
     480: 1
     484: 1
     486: 1
     509: 1
     513: 1
     515: 1
     519: 1
     522: 1
     523: 1
     525: 1
     527: 1
     575: 1
     579: 1
     585: 1
     599: 1
     603: 1
     661: 1

662:   0: q^2+4q+1
       1: q^2+2q+1
       2: q^2+4q+1
       3: q^2+2q+1
       4: q^2+4q+1
       5: q^2+2q+1
       6: q+1
       7: q^2+2q+1
       8: q^2+4q+1
       9: q+1
      10: q^2+2q+1
      11: q+1
      12: q^3+3q^2+3q+1
      13: q+1
      15: q^2+2q+1
      16: q+1
      17: q^2+2q+1
      18: q+1
      19: 2q+1
      20: q+1
      21: 2q+1
      23: q^2+4q+1
      24: q^2+4q+1
      25: q+1
      26: q+1
      27: 2q+1
      28: q+1
      29: q+1
      30: q^2+3q+1
      31: q^2+4q+1
      32: q^2+2q+1
      33: q^2+4q+1
      34: q^2+2q+1
      35: q^2+4q+1
      36: q^2+2q+1
      37: q^2+4q+1
      38: q^2+2q+1
      39: q+1
      40: q+1
      41: q+1
      42: q^2+2q+1
      43: 2q+1
      44: q^2+4q+1
      45: q^2+2q+1
      46: 2q+1
      47: q^2+4q+1
      48: 2q
      49: q^2+2q+1
      50: q^2+q
      51: q+1
      52: 2q
      53: q^2+2q+1
      54: q^2+q
      55: q+1
      56: 2q+1
      57: q+1
      58: 2q+1
      60: 2q+1
      61: 2q+1
      62: q+1
      64: 2q+1
      65: q+1
      66: q^2+3q+1
      67: q+1
      68: 2q+1
      69: q+1
      70: q^2+3q+1
      71: q+1
      72: 2q+1
      73: q+1
      74: q^2+3q+1
      75: q+1
      76: q^2+q
      77: q+1
      78: q
      79: q+1
      80: 2q
      81: q^2+2q+1
      83: q+1
      84: q+1
      85: q+1
      86: q+1
      87: q+1
      88: q
      89: 1
      90: q
      91: 1
      92: q
      93: q^2+q+1
      94: q
      95: 1
      96: 2q+1
      97: 2q+1
      98: q+1
      99: q+1
     100: 2q+1
     101: 2q+1
     102: q+1
     103: q+1
     104: 2q+1
     105: 2q+1
     106: q+1
     108: 1
     109: 1
     110: q+1
     112: 2q+1
     113: q+1
     114: q^2+3q+1
     115: q+1
     116: 2q+1
     117: q+1
     118: q^2+3q+1
     119: q+1
     120: 2q+1
     121: q+1
     122: q^2+3q+1
     123: q+1
     125: 1
     126: q
     127: 1
     128: q
     129: 1
     130: q
     131: q+1
     132: q
     133: q+1
     135: q+1
     136: q
     137: 1
     138: q
     139: 1
     140: q
     141: q^2+q+1
     142: q
     143: 1
     145: 1
     146: 1
     147: 1
     148: 2q+1
     149: q+1
     150: q+1
     151: q+1
     152: q+1
     153: q+1
     154: 2q+1
     155: q+1
     156: q+1
     157: q+1
     158: q+1
     159: q+1
     160: q+1
     161: q+1
     162: q
     163: 1
     164: q
     165: 1
     166: q
     167: q^2+q+1
     168: q
     169: 1
     170: 1
     171: 1
     172: q+1
     174: 1
     175: 1
     176: q+1
     178: 1
     179: 1
     180: q+1
     182: 2q+1
     183: q+1
     184: q^2+3q+1
     185: q+1
     186: q
     187: 1
     188: q
     189: 1
     191: 1
     193: 1
     194: q
     195: 1
     197: 1
     199: 1
     200: q
     201: q+1
     202: q
     203: 1
     204: q
     205: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: q+1
     223: 1
     224: 1
     225: 1
     226: q+1
     228: 1
     229: 1
     230: 1
     231: q+1
     232: q
     233: 1
     234: q
     235: 1
     236: q
     237: q^2+q+1
     238: q
     239: 1
     240: q+1
     241: q+1
     242: q+1
     243: q+1
     244: 2
     246: 2
     248: 1
     249: 1
     250: q+1
     252: 1
     253: 1
     254: q+1
     256: 1
     257: 1
     258: q+1
     264: q
     265: 1
     269: 1
     271: 1
     273: 1
     275: 1
     277: 1
     279: 1
     280: q
     281: 1
     282: q
     283: 1
     285: 1
     286: q
     287: 1
     297: 1
     298: 1
     301: 1
     302: 1
     305: 1
     306: 1
     311: 1
     312: 1
     313: 1
     314: 1
     315: 1
     316: 2
     319: 1
     320: 1
     321: 1
     322: 1
     323: 1
     324: 2
     333: q+1
     335: 1
     336: 1
     337: 1
     338: 1
     340: 1
     342: 1
     343: 1
     344: q+1
     357: 1
     363: 1
     367: 1
     368: 1
     369: 1
     371: 1
     375: 1
     376: 1
     377: 1
     382: q
     383: 1
     385: 1
     387: 1
     389: 2
     404: 1
     405: 1
     407: 1
     409: 1
     410: 1
     412: 1
     423: 1
     424: 1
     425: 1
     426: 1
     427: 1
     428: 1
     430: 1
     432: 1
     434: 1
     439: 1
     440: 1
     457: 1
     467: 1
     481: 1
     485: 1
     487: 1
     509: 1
     513: 1
     515: 1
     519: 1
     522: 1
     523: 1
     525: 1
     527: 1
     576: 1
     580: 1
     586: 1
     599: 1
     603: 1
     662: 1

663:   0: 5q+1
       1: 5q+1
       2: 5q+1
       3: q^3+2q^2+2q+1
       4: 5q+1
       5: q^3+3q+1
       6: q^3+2q^2+2q+1
       7: 5q+1
       8: 5q+1
       9: q^2+q+1
      10: q^3+3q+1
      11: q^3+2q^2+2q+1
      12: q^3+3q^2+3q+1
      13: q^2+q+1
      14: q^2+q+1
      15: 3q+1
      16: q^2+q+1
      17: 3q+1
      18: q^2+q+1
      19: 5q+1
      20: q^3+2q^2+2q+1
      21: 5q+1
      22: q^2+q+1
      23: 5q+1
      24: 5q+1
      25: q^3+2q^2+2q+1
      26: q^2+q+1
      27: 2q+1
      28: 2q+1
      29: q+1
      30: 3q+1
      31: 5q+1
      32: 5q+1
      33: 5q+1
      34: q^3+3q+1
      35: 5q+1
      36: 5q+1
      37: 5q+1
      38: q^3+3q+1
      39: q^2+q+1
      40: q+1
      41: 2q+1
      42: 3q+1
      43: 5q+1
      44: 5q+1
      45: 3q+1
      46: 5q+1
      47: 5q+1
      48: 3q+1
      49: 2q
      50: 3q+1
      51: 2q
      52: 3q+1
      53: 2q
      54: 2q+1
      55: q^3+q
      56: 3q+1
      57: q^2+q+1
      58: 3q+1
      59: q^2+q+1
      60: 5q+1
      61: 5q+1
      62: q^3+2q^2+2q+1
      63: q^2+q+1
      64: 2q+1
      65: 2q+1
      66: 3q+1
      67: q+1
      68: 2q+1
      69: 2q+1
      70: 3q+1
      71: q+1
      72: 2q+1
      73: 2q+1
      74: 3q+1
      75: q+1
      76: 2q+1
      77: q
      78: 3q+1
      79: 2q
      80: 3q+1
      81: 2q
      82: q^2+q+1
      83: 2q+1
      84: q+1
      85: q+1
      86: q+1
      87: q+1
      88: 1
      90: 1
      92: q+1
      94: 1
      96: 3q+1
      97: 5q+1
      98: q+1
      99: 2q+1
     100: 3q+1
     101: 5q+1
     102: q+1
     103: 2q+1
     104: 3q+1
     105: 3q+1
     106: q^2+q+1
     107: q^2+q+1
     108: 2q+1
     109: 2q+1
     110: 3q+1
     111: q+1
     112: 2q+1
     113: 2q+1
     114: 3q+1
     115: q+1
     116: 2q+1
     117: 2q+1
     118: 3q+1
     119: q+1
     120: 2q+1
     121: 2q+1
     122: 3q+1
     123: q+1
     124: 1
     126: 1
     128: 1
     130: 2q+1
     131: q
     132: 3q+1
     133: 2q
     134: q^2+q+1
     135: q+1
     136: 1
     138: 1
     140: q+1
     142: 1
     144: q+1
     145: 2q+1
     146: q+1
     147: q+1
     148: 3q+1
     149: 2q+1
     150: q+1
     151: q+1
     152: q+1
     153: q+1
     154: 3q+1
     155: 2q+1
     156: q+1
     157: q+1
     158: q+1
     159: q+1
     160: q+1
     161: 2q+1
     162: 1
     164: 1
     166: q+1
     168: 1
     170: 1
     171: 1
     172: q+1
     173: 1
     174: 2q+1
     175: 2q+1
     176: 3q+1
     177: q+1
     178: 2q+1
     179: 2q+1
     180: 3q+1
     181: q+1
     182: 2q+1
     183: 2q+1
     184: 3q+1
     185: q+1
     186: 1
     188: 1
     190: 1
     192: 1
     194: 1
     196: 1
     198: 1
     200: 2q+1
     201: q
     202: 1
     204: 1
     206: 1
     208: 1
     210: q+1
     212: 1
     214: q+1
     215: 1
     216: 1
     217: 1
     218: q+1
     219: 1
     220: q+1
     221: q+1
     222: q+1
     223: 2q+1
     224: q+1
     225: q+1
     226: q+1
     227: q+1
     228: 2q+1
     229: q+1
     230: q+1
     231: 2q+1
     232: 1
     234: 1
     236: q+1
     238: 1
     240: q+1
     241: q+1
     242: q+1
     243: q+1
     248: 1
     249: 1
     250: q+1
     251: 1
     252: 1
     253: 1
     254: q+1
     255: 1
     256: 2q+1
     257: 2q+1
     258: 3q+1
     259: q+1
     260: 1
     262: 1
     264: 1
     266: 1
     268: 1
     270: 1
     272: 1
     274: 1
     276: 1
     278: 1
     280: 1
     282: 1
     284: 1
     286: 1
     296: 1
     297: 1
     298: 1
     309: q+1
     310: 1
     311: 1
     312: 1
     313: q+1
     314: 1
     315: q+1
     317: q+1
     318: 1
     319: 1
     320: 1
     321: q+1
     322: 1
     323: q+1
     325: 1
     327: 1
     329: q+1
     331: 1
     333: q+1
     334: q+1
     335: 2q+1
     336: q+1
     337: q+1
     342: 1
     343: 1
     344: q+1
     345: 1
     350: 1
     354: 1
     356: 1
     362: 1
     364: 1
     366: 1
     370: 1
     372: 1
     374: 1
     378: 1
     380: 1
     382: 1
     384: 1
     386: 1
     390: 1
     391: 1
     403: 1
     404: 1
     405: 1
     408: 1
     409: 1
     410: 1
     421: q+1
     422: 1
     423: 1
     424: 1
     425: q+1
     426: 1
     427: q+1
     444: 1
     454: 1
     456: 1
     464: 1
     466: 1
     478: 1
     480: 1
     482: 1
     484: 1
     510: 1
     511: 1
     516: 1
     517: 1
     521: 1
     522: 1
     523: 1
     551: 1
     563: 1
     577: 1
     579: 1
     607: 1
     608: 1
     663: 1

664:   0: 5q+1
       1: 5q+1
       2: 5q+1
       3: q^3+2q^2+2q+1
       4: 5q+1
       5: q^3+3q+1
       6: q^3+2q^2+2q+1
       7: 5q+1
       8: 5q+1
       9: q^2+q+1
      10: q^3+3q+1
      11: q^3+2q^2+2q+1
      12: q^3+3q^2+3q+1
      13: q^2+q+1
      14: q^2+q+1
      15: 3q+1
      16: q^2+q+1
      17: 3q+1
      18: q^2+q+1
      19: 5q+1
      20: q^3+2q^2+2q+1
      21: 5q+1
      22: q^2+q+1
      23: 5q+1
      24: 5q+1
      25: q^3+2q^2+2q+1
      26: q^2+q+1
      27: 2q+1
      28: 2q+1
      29: q+1
      30: 3q+1
      31: 5q+1
      32: 5q+1
      33: 5q+1
      34: q^3+3q+1
      35: 5q+1
      36: 5q+1
      37: 5q+1
      38: q^3+3q+1
      39: q^2+q+1
      40: q+1
      41: 2q+1
      42: 3q+1
      43: 5q+1
      44: 5q+1
      45: 3q+1
      46: 5q+1
      47: 5q+1
      48: 2q
      49: 3q+1
      50: 2q
      51: 3q+1
      52: 2q
      53: 3q+1
      54: q^3+q
      55: 2q+1
      56: 3q+1
      57: q^2+q+1
      58: 3q+1
      59: q^2+q+1
      60: 5q+1
      61: 5q+1
      62: q^3+2q^2+2q+1
      63: q^2+q+1
      64: 2q+1
      65: 2q+1
      66: 3q+1
      67: q+1
      68: 2q+1
      69: 2q+1
      70: 3q+1
      71: q+1
      72: 2q+1
      73: 2q+1
      74: 3q+1
      75: q+1
      76: q
      77: 2q+1
      78: 2q
      79: 3q+1
      80: 2q
      81: 3q+1
      82: q^2+q+1
      83: 2q+1
      84: q+1
      85: q+1
      86: q+1
      87: q+1
      89: 1
      91: 1
      93: q+1
      95: 1
      96: 3q+1
      97: 5q+1
      98: q+1
      99: 2q+1
     100: 3q+1
     101: 5q+1
     102: q+1
     103: 2q+1
     104: 3q+1
     105: 3q+1
     106: q^2+q+1
     107: q^2+q+1
     108: 2q+1
     109: 2q+1
     110: 3q+1
     111: q+1
     112: 2q+1
     113: 2q+1
     114: 3q+1
     115: q+1
     116: 2q+1
     117: 2q+1
     118: 3q+1
     119: q+1
     120: 2q+1
     121: 2q+1
     122: 3q+1
     123: q+1
     125: 1
     127: 1
     129: 1
     130: q
     131: 2q+1
     132: 2q
     133: 3q+1
     134: q^2+q+1
     135: q+1
     137: 1
     139: 1
     141: q+1
     143: 1
     144: q+1
     145: 2q+1
     146: q+1
     147: q+1
     148: 3q+1
     149: 2q+1
     150: q+1
     151: q+1
     152: q+1
     153: q+1
     154: 3q+1
     155: 2q+1
     156: q+1
     157: q+1
     158: q+1
     159: q+1
     160: q+1
     161: 2q+1
     163: 1
     165: 1
     167: q+1
     169: 1
     170: 1
     171: 1
     172: q+1
     173: 1
     174: 2q+1
     175: 2q+1
     176: 3q+1
     177: q+1
     178: 2q+1
     179: 2q+1
     180: 3q+1
     181: q+1
     182: 2q+1
     183: 2q+1
     184: 3q+1
     185: q+1
     187: 1
     189: 1
     191: 1
     193: 1
     195: 1
     197: 1
     199: 1
     200: q
     201: 2q+1
     203: 1
     205: 1
     207: 1
     209: 1
     211: q+1
     213: 1
     214: q+1
     215: 1
     216: 1
     217: 1
     218: q+1
     219: 1
     220: q+1
     221: q+1
     222: q+1
     223: 2q+1
     224: q+1
     225: q+1
     226: q+1
     227: q+1
     228: 2q+1
     229: q+1
     230: q+1
     231: 2q+1
     233: 1
     235: 1
     237: q+1
     239: 1
     240: q+1
     241: q+1
     242: q+1
     243: q+1
     248: 1
     249: 1
     250: q+1
     251: 1
     252: 1
     253: 1
     254: q+1
     255: 1
     256: 2q+1
     257: 2q+1
     258: 3q+1
     259: q+1
     261: 1
     263: 1
     265: 1
     267: 1
     269: 1
     271: 1
     273: 1
     275: 1
     277: 1
     279: 1
     281: 1
     283: 1
     285: 1
     287: 1
     296: 1
     297: 1
     298: 1
     309: q+1
     310: 1
     311: 1
     312: 1
     313: q+1
     314: 1
     315: q+1
     317: q+1
     318: 1
     319: 1
     320: 1
     321: q+1
     322: 1
     323: q+1
     326: 1
     328: 1
     330: q+1
     332: 1
     333: q+1
     334: q+1
     335: 2q+1
     336: q+1
     337: q+1
     342: 1
     343: 1
     344: q+1
     345: 1
     351: 1
     355: 1
     357: 1
     363: 1
     365: 1
     367: 1
     371: 1
     373: 1
     375: 1
     379: 1
     381: 1
     383: 1
     385: 1
     387: 1
     390: 1
     391: 1
     403: 1
     404: 1
     405: 1
     408: 1
     409: 1
     410: 1
     421: q+1
     422: 1
     423: 1
     424: 1
     425: q+1
     426: 1
     427: q+1
     445: 1
     455: 1
     457: 1
     465: 1
     467: 1
     479: 1
     481: 1
     483: 1
     485: 1
     510: 1
     511: 1
     516: 1
     517: 1
     521: 1
     522: 1
     523: 1
     552: 1
     564: 1
     578: 1
     580: 1
     607: 1
     608: 1
     664: 1

665:   0: q^2+2q+1
       1: q+1
       2: q^2+2q+1
       3: q^4+q^3+q+1
       4: q^2+2q+1
       5: q+1
       6: q^3+1
       7: q+1
       8: q^2+2q+1
       9: q^3+1
      10: q+1
      11: q^3+1
      12: q^4+2q^3+2q^2+2q+1
      13: q^3+1
      15: q+1
      16: q^3+1
      17: q+1
      18: q^3+1
      19: q+1
      20: q^3+1
      21: q+1
      23: q^2+2q+1
      24: q^2+2q+1
      25: q^3+1
      26: q^3+1
      27: q+1
      28: 1
      29: 1
      30: q^2+2q+1
      31: q^2+2q+1
      32: q+1
      33: q^2+2q+1
      34: q+1
      35: q^2+2q+1
      36: q+1
      37: q^2+2q+1
      38: q+1
      39: q^3+1
      40: 1
      41: 1
      42: q+1
      43: q+1
      44: q^2+2q+1
      45: q+1
      46: q+1
      47: q^2+2q+1
      48: q^2+2q+1
      50: q+1
      52: q^2+2q+1
      54: q+1
      56: q+1
      57: q^3+1
      58: q+1
      60: q+1
      61: q+1
      62: q^3+1
      64: q+1
      65: 1
      66: q^2+2q+1
      67: 1
      68: q+1
      69: 1
      70: q^2+2q+1
      71: 1
      72: q+1
      73: 1
      74: q^2+2q+1
      75: 1
      76: q+1
      78: q+1
      80: q^2+2q+1
      83: 1
      84: 1
      85: 1
      86: q+1
      87: q+1
      88: q+1
      90: 1
      92: q^2+2q+1
      94: 1
      96: q+1
      97: q+1
      98: 1
      99: 1
     100: q+1
     101: q+1
     102: 1
     103: 1
     104: q+1
     105: q+1
     106: q^3+1
     108: 1
     109: 1
     110: q+1
     112: q+1
     113: 1
     114: q^2+2q+1
     115: 1
     116: q+1
     117: 1
     118: q^2+2q+1
     119: 1
     120: q+1
     121: 1
     122: q^2+2q+1
     123: 1
     124: q+1
     126: 1
     128: 1
     130: q+1
     132: q+1
     135: 1
     136: q+1
     138: 1
     140: q^2+2q+1
     142: 1
     145: 1
     146: 1
     147: 1
     148: q+1
     149: 1
     150: 1
     151: q+1
     152: 1
     153: q+1
     154: q+1
     155: 1
     156: 1
     157: 1
     158: q+1
     159: q+1
     160: 1
     161: 1
     162: q+1
     164: 1
     166: q^2+2q+1
     168: 1
     170: 1
     171: 1
     172: q+1
     174: 1
     175: 1
     176: q+1
     178: 1
     179: 1
     180: q+1
     182: q+1
     183: 1
     184: q^2+2q+1
     185: 1
     186: 1
     188: 1
     190: q+1
     192: 1
     194: 1
     196: q+1
     198: q+1
     200: q+1
     202: 1
     204: 1
     206: 1
     208: 1
     210: q+1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     223: 1
     224: 1
     225: 1
     226: 1
     228: 1
     229: 1
     230: 1
     231: 1
     232: q+1
     234: 1
     236: q^2+2q+1
     238: 1
     240: 1
     241: q+1
     242: q+1
     243: 1
     248: 1
     249: 1
     250: q+1
     252: 1
     253: 1
     254: q+1
     256: 1
     257: 1
     258: q+1
     262: 1
     264: 1
     266: 1
     268: 1
     270: 1
     272: q+1
     274: 1
     276: q+1
     278: 1
     280: 1
     282: 1
     284: q+1
     286: 1
     288: 1
     290: 1
     292: q+1
     297: 1
     298: 1
     311: 1
     312: 1
     313: 1
     314: 1
     315: 1
     319: 1
     320: 1
     321: 1
     322: 1
     323: 1
     325: 1
     327: 1
     329: q+1
     333: 1
     335: 1
     336: 1
     337: 1
     342: 1
     343: 1
     344: q+1
     348: 1
     352: 1
     354: 1
     356: 1
     362: 1
     364: 1
     366: 1
     370: 1
     372: 1
     374: 1
     380: 1
     382: 1
     384: 1
     386: q+1
     404: 1
     405: 1
     409: 1
     410: 1
     413: 1
     415: 1
     417: q+1
     423: 1
     424: 1
     425: 1
     426: 1
     427: 1
     446: 1
     454: 1
     456: 1
     458: 1
     464: 1
     466: 1
     468: 1
     476: 1
     480: 1
     482: 1
     484: 1
     522: 1
     523: 1
     553: 1
     565: 1
     577: 1
     579: 1
     581: 1
     665: 1

666:   0: q^2+2q+1
       1: q+1
       2: q^2+2q+1
       3: q^4+q^3+q+1
       4: q^2+2q+1
       5: q+1
       6: q^3+1
       7: q+1
       8: q^2+2q+1
       9: q^3+1
      10: q+1
      11: q^3+1
      12: q^4+2q^3+2q^2+2q+1
      13: q^3+1
      15: q+1
      16: q^3+1
      17: q+1
      18: q^3+1
      19: q+1
      20: q^3+1
      21: q+1
      23: q^2+2q+1
      24: q^2+2q+1
      25: q^3+1
      26: q^3+1
      27: q+1
      28: 1
      29: 1
      30: q^2+2q+1
      31: q^2+2q+1
      32: q+1
      33: q^2+2q+1
      34: q+1
      35: q^2+2q+1
      36: q+1
      37: q^2+2q+1
      38: q+1
      39: q^3+1
      40: 1
      41: 1
      42: q+1
      43: q+1
      44: q^2+2q+1
      45: q+1
      46: q+1
      47: q^2+2q+1
      49: q^2+2q+1
      51: q+1
      53: q^2+2q+1
      55: q+1
      56: q+1
      57: q^3+1
      58: q+1
      60: q+1
      61: q+1
      62: q^3+1
      64: q+1
      65: 1
      66: q^2+2q+1
      67: 1
      68: q+1
      69: 1
      70: q^2+2q+1
      71: 1
      72: q+1
      73: 1
      74: q^2+2q+1
      75: 1
      77: q+1
      79: q+1
      81: q^2+2q+1
      83: 1
      84: 1
      85: 1
      86: q+1
      87: q+1
      89: q+1
      91: 1
      93: q^2+2q+1
      95: 1
      96: q+1
      97: q+1
      98: 1
      99: 1
     100: q+1
     101: q+1
     102: 1
     103: 1
     104: q+1
     105: q+1
     106: q^3+1
     108: 1
     109: 1
     110: q+1
     112: q+1
     113: 1
     114: q^2+2q+1
     115: 1
     116: q+1
     117: 1
     118: q^2+2q+1
     119: 1
     120: q+1
     121: 1
     122: q^2+2q+1
     123: 1
     125: q+1
     127: 1
     129: 1
     131: q+1
     133: q+1
     135: 1
     137: q+1
     139: 1
     141: q^2+2q+1
     143: 1
     145: 1
     146: 1
     147: 1
     148: q+1
     149: 1
     150: 1
     151: q+1
     152: 1
     153: q+1
     154: q+1
     155: 1
     156: 1
     157: 1
     158: q+1
     159: q+1
     160: 1
     161: 1
     163: q+1
     165: 1
     167: q^2+2q+1
     169: 1
     170: 1
     171: 1
     172: q+1
     174: 1
     175: 1
     176: q+1
     178: 1
     179: 1
     180: q+1
     182: q+1
     183: 1
     184: q^2+2q+1
     185: 1
     187: 1
     189: 1
     191: q+1
     193: 1
     195: 1
     197: q+1
     199: q+1
     201: q+1
     203: 1
     205: 1
     207: 1
     209: 1
     211: q+1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     223: 1
     224: 1
     225: 1
     226: 1
     228: 1
     229: 1
     230: 1
     231: 1
     233: q+1
     235: 1
     237: q^2+2q+1
     239: 1
     240: 1
     241: q+1
     242: q+1
     243: 1
     248: 1
     249: 1
     250: q+1
     252: 1
     253: 1
     254: q+1
     256: 1
     257: 1
     258: q+1
     263: 1
     265: 1
     267: 1
     269: 1
     271: 1
     273: q+1
     275: 1
     277: q+1
     279: 1
     281: 1
     283: 1
     285: q+1
     287: 1
     289: 1
     291: 1
     293: q+1
     297: 1
     298: 1
     311: 1
     312: 1
     313: 1
     314: 1
     315: 1
     319: 1
     320: 1
     321: 1
     322: 1
     323: 1
     326: 1
     328: 1
     330: q+1
     333: 1
     335: 1
     336: 1
     337: 1
     342: 1
     343: 1
     344: q+1
     349: 1
     353: 1
     355: 1
     357: 1
     363: 1
     365: 1
     367: 1
     371: 1
     373: 1
     375: 1
     381: 1
     383: 1
     385: 1
     387: q+1
     404: 1
     405: 1
     409: 1
     410: 1
     414: 1
     416: 1
     418: q+1
     423: 1
     424: 1
     425: 1
     426: 1
     427: 1
     447: 1
     455: 1
     457: 1
     459: 1
     465: 1
     467: 1
     469: 1
     477: 1
     481: 1
     483: 1
     485: 1
     522: 1
     523: 1
     554: 1
     566: 1
     578: 1
     580: 1
     582: 1
     666: 1

667:   0: 3q^2+4q+1
       1: 3q^2+4q+1
       2: 3q^2+4q+1
       3: q^3+3q^2+3q+1
       4: 3q^2+4q+1
       6: q^3+3q^2+3q+1
       7: 3q^2+4q+1
       8: 3q^2+4q+1
      11: q^4+2q^3+2q^2+2q+1
      12: q^3+3q^2+3q+1
      19: 3q^2+4q+1
      20: q^3+3q^2+3q+1
      21: 3q^2+4q+1
      23: q^2+4q+1
      24: q^2+4q+1
      25: q^3+2q^2+2q+1
      27: 2q^2+3q+1
      28: 2q^2+3q+1
      30: 2q^2+3q+1
      31: 3q^2+4q+1
      32: 3q^2+4q+1
      33: 3q^2+4q+1
      35: 3q^2+4q+1
      36: 3q^2+4q+1
      37: 3q^2+4q+1
      41: 2q^2+3q+1
      43: 3q^2+4q+1
      44: q^2+4q+1
      46: 3q^2+4q+1
      47: q^2+4q+1
      48: 2q^2+3q+1
      49: q^2+q
      50: 2q^2+3q+1
      51: q^2+q
      52: 2q^2+3q+1
      53: q^2+q
      60: q^2+4q+1
      61: q^2+4q+1
      62: q^3+2q^2+2q+1
      64: 3q+1
      65: q^2+2q+1
      66: 3q+1
      68: 2q^2+3q+1
      69: 2q^2+3q+1
      70: 2q^2+3q+1
      72: 2q^2+3q+1
      73: 2q^2+3q+1
      74: 2q^2+3q+1
      78: 2q^2+3q+1
      79: q^2+q
      80: q^2+3q+1
      81: q
      83: 2q+1
      86: 2q+1
      87: 2q+1
      88: q^2+2q+1
      90: q^2+2q+1
      92: q^2+2q+1
      97: q^2+4q+1
      99: 2q^2+3q+1
     101: q^2+4q+1
     103: 2q^2+3q+1
     108: 3q+1
     109: q^2+2q+1
     110: 3q+1
     112: 3q+1
     113: q^2+2q+1
     114: 3q+1
     116: 3q+1
     117: q^2+2q+1
     118: 3q+1
     120: 2q^2+3q+1
     121: 2q^2+3q+1
     122: 2q^2+3q+1
     124: q+1
     128: q^2+2q+1
     132: q^2+3q+1
     133: q
     136: q+1
     138: q+1
     140: q+1
     145: 2q+1
     146: 2q+1
     147: 2q+1
     149: 2q+1
     151: 2q+1
     153: 2q+1
     155: 2q+1
     158: 2q+1
     159: 2q+1
     161: 2q^2+3q+1
     162: q^2+2q+1
     164: q^2+2q+1
     166: q^2+2q+1
     174: 3q+1
     175: q^2+2q+1
     176: 3q+1
     178: 3q+1
     179: q^2+2q+1
     180: 3q+1
     182: 3q+1
     183: q^2+2q+1
     184: 3q+1
     186: q+1
     190: 1
     192: q+1
     196: q+1
     198: q+1
     204: q^2+2q+1
     206: q+1
     208: q+1
     210: q+1
     218: q+1
     220: q+1
     223: 2q+1
     224: 2q+1
     225: 2q+1
     228: 2q+1
     229: 2q+1
     230: 2q+1
     231: 2q+1
     232: q+1
     234: q+1
     236: q+1
     241: 2q+1
     242: 2q+1
     244: 2
     245: q+1
     246: 2
     256: 3q+1
     257: q^2+2q+1
     258: 3q+1
     262: q+1
     266: 1
     268: 1
     272: 1
     274: q+1
     276: 1
     278: q+1
     280: q+1
     284: q+1
     299: 1
     301: 2
     303: q+1
     305: 2
     313: q+1
     315: q+1
     316: 2
     321: q+1
     323: q+1
     324: 2
     325: q+1
     327: q+1
     329: q+1
     335: 2q+1
     336: 2q+1
     337: 2q+1
     338: 2
     339: q+1
     340: 2
     354: 1
     358: 1
     362: 1
     364: 1
     368: 2
     370: 1
     372: 1
     376: 2
     380: q+1
     384: q+1
     386: 1
     388: 1
     389: 1
     394: 2
     396: q+1
     398: 2
     402: 1
     406: 1
     407: 2
     411: 1
     412: 2
     425: q+1
     427: q+1
     436: 1
     439: 1
     448: 1
     454: 1
     460: 1
     462: 2
     464: 1
     470: 1
     472: 2
     480: 1
     482: 1
     486: 1
     487: 1
     514: 1
     520: 1
     524: 1
     529: 1
     532: 1
     555: 1
     567: 1
     577: 1
     583: 1
     610: 1
     667: 1

668:   0: 3q^2+4q+1
       1: 3q^2+4q+1
       2: 3q^2+4q+1
       3: q^3+3q^2+3q+1
       4: 3q^2+4q+1
       6: q^3+3q^2+3q+1
       7: 3q^2+4q+1
       8: 3q^2+4q+1
      11: q^4+2q^3+2q^2+2q+1
      12: q^3+3q^2+3q+1
      19: 3q^2+4q+1
      20: q^3+3q^2+3q+1
      21: 3q^2+4q+1
      23: q^2+4q+1
      24: q^2+4q+1
      25: q^3+2q^2+2q+1
      27: 2q^2+3q+1
      28: 2q^2+3q+1
      30: 2q^2+3q+1
      31: 3q^2+4q+1
      32: 3q^2+4q+1
      33: 3q^2+4q+1
      35: 3q^2+4q+1
      36: 3q^2+4q+1
      37: 3q^2+4q+1
      41: 2q^2+3q+1
      43: 3q^2+4q+1
      44: q^2+4q+1
      46: 3q^2+4q+1
      47: q^2+4q+1
      48: q^2+q
      49: 2q^2+3q+1
      50: q^2+q
      51: 2q^2+3q+1
      52: q^2+q
      53: 2q^2+3q+1
      60: q^2+4q+1
      61: q^2+4q+1
      62: q^3+2q^2+2q+1
      64: 3q+1
      65: q^2+2q+1
      66: 3q+1
      68: 2q^2+3q+1
      69: 2q^2+3q+1
      70: 2q^2+3q+1
      72: 2q^2+3q+1
      73: 2q^2+3q+1
      74: 2q^2+3q+1
      78: q^2+q
      79: 2q^2+3q+1
      80: q
      81: q^2+3q+1
      83: 2q+1
      86: 2q+1
      87: 2q+1
      89: q^2+2q+1
      91: q^2+2q+1
      93: q^2+2q+1
      97: q^2+4q+1
      99: 2q^2+3q+1
     101: q^2+4q+1
     103: 2q^2+3q+1
     108: 3q+1
     109: q^2+2q+1
     110: 3q+1
     112: 3q+1
     113: q^2+2q+1
     114: 3q+1
     116: 3q+1
     117: q^2+2q+1
     118: 3q+1
     120: 2q^2+3q+1
     121: 2q^2+3q+1
     122: 2q^2+3q+1
     125: q+1
     129: q^2+2q+1
     132: q
     133: q^2+3q+1
     137: q+1
     139: q+1
     141: q+1
     145: 2q+1
     146: 2q+1
     147: 2q+1
     149: 2q+1
     151: 2q+1
     153: 2q+1
     155: 2q+1
     158: 2q+1
     159: 2q+1
     161: 2q^2+3q+1
     163: q^2+2q+1
     165: q^2+2q+1
     167: q^2+2q+1
     174: 3q+1
     175: q^2+2q+1
     176: 3q+1
     178: 3q+1
     179: q^2+2q+1
     180: 3q+1
     182: 3q+1
     183: q^2+2q+1
     184: 3q+1
     187: q+1
     191: 1
     193: q+1
     197: q+1
     199: q+1
     205: q^2+2q+1
     207: q+1
     209: q+1
     211: q+1
     218: q+1
     220: q+1
     223: 2q+1
     224: 2q+1
     225: 2q+1
     228: 2q+1
     229: 2q+1
     230: 2q+1
     231: 2q+1
     233: q+1
     235: q+1
     237: q+1
     241: 2q+1
     242: 2q+1
     244: 2
     245: q+1
     246: 2
     256: 3q+1
     257: q^2+2q+1
     258: 3q+1
     263: q+1
     267: 1
     269: 1
     273: 1
     275: q+1
     277: 1
     279: q+1
     281: q+1
     285: q+1
     299: 1
     302: 2
     304: q+1
     306: 2
     313: q+1
     315: q+1
     316: 2
     321: q+1
     323: q+1
     324: 2
     326: q+1
     328: q+1
     330: q+1
     335: 2q+1
     336: 2q+1
     337: 2q+1
     338: 2
     339: q+1
     340: 2
     355: 1
     359: 1
     363: 1
     365: 1
     369: 2
     371: 1
     373: 1
     377: 2
     381: q+1
     385: q+1
     387: 1
     388: 1
     389: 1
     395: 2
     397: q+1
     399: 2
     402: 1
     406: 1
     407: 2
     411: 1
     412: 2
     425: q+1
     427: q+1
     437: 1
     440: 1
     449: 1
     455: 1
     461: 1
     463: 2
     465: 1
     471: 1
     473: 2
     481: 1
     483: 1
     486: 1
     487: 1
     514: 1
     520: 1
     524: 1
     530: 1
     533: 1
     556: 1
     568: 1
     578: 1
     584: 1
     610: 1
     668: 1

669:   0: 3q+1
       1: 2q^2+q+1
       2: 3q+1
       3: q^2+2q+1
       4: 3q+1
       5: 2q^2+q+1
       6: q^3+q^2+q+1
       7: 2q^2+q+1
       8: 3q+1
       9: q^3+q^2+q+1
      10: 2q^2+q+1
      11: q^3+q^2+q+1
      12: q^2+2q+1
      13: q^3+q^2+q+1
      15: 2q^2+q+1
      16: q^3+q^2+q+1
      17: 2q^2+q+1
      18: q^3+q^2+q+1
      19: q+1
      20: q+1
      21: q+1
      23: 3q+1
      24: 3q+1
      25: q^3+q^2+q+1
      26: q^3+q^2+q+1
      27: 2q+1
      28: q^2+q+1
      29: q^2+q+1
      30: 2q+1
      31: 3q+1
      32: 2q^2+q+1
      33: 3q+1
      34: 2q^2+q+1
      35: 3q+1
      36: 2q^2+q+1
      37: 3q+1
      38: 2q^2+q+1
      39: q^3+q^2+q+1
      40: q^2+q+1
      41: q+1
      42: 2q^2+q+1
      43: q+1
      44: 3q+1
      45: 2q^2+q+1
      46: q+1
      47: 3q+1
      48: 2q+1
      49: q
      50: q^2+q+1
      51: q^2
      52: 2q+1
      53: q
      54: q^2+q+1
      55: q^2
      56: q+1
      57: q+1
      58: q+1
      60: q+1
      61: q+1
      62: q+1
      64: 2q+1
      65: q^2+q+1
      66: 2q+1
      67: q^2+q+1
      68: 2q+1
      69: q^2+q+1
      70: 2q+1
      71: q^2+q+1
      72: 2q+1
      73: q^2+q+1
      74: 2q+1
      75: q^2+q+1
      76: q^2+q+1
      77: q^2
      78: q+1
      80: 2q+1
      81: q
      83: q+1
      84: q+1
      85: q^2+q+1
      86: q+1
      87: q+1
      88: q+1
      90: q+1
      92: q+1
      94: q+1
      96: q+1
      97: q+1
      98: q^2+q+1
      99: q+1
     100: q+1
     101: q+1
     102: q^2+q+1
     103: q+1
     104: q+1
     105: q+1
     106: q+1
     108: 1
     109: 1
     110: 1
     112: 2q+1
     113: q^2+q+1
     114: 2q+1
     115: q^2+q+1
     116: 2q+1
     117: q^2+q+1
     118: 2q+1
     119: q^2+q+1
     120: 2q+1
     121: q^2+q+1
     122: 2q+1
     123: q^2+q+1
     124: 1
     126: q+1
     128: q+1
     130: q+1
     132: q+1
     135: q+1
     136: q+1
     138: q+1
     140: q+1
     142: q+1
     145: 1
     146: 1
     147: 1
     148: q+1
     149: q+1
     150: q^2+q+1
     151: q+1
     152: q+1
     153: q+1
     154: q+1
     155: q+1
     156: q^2+q+1
     157: q+1
     158: q+1
     159: q+1
     160: q^2+q+1
     161: q+1
     162: q+1
     164: q+1
     166: q+1
     168: q+1
     170: 1
     171: 1
     172: 1
     174: 1
     175: 1
     176: 1
     178: 1
     179: 1
     180: 1
     182: 2q+1
     183: q^2+q+1
     184: 2q+1
     185: q^2+q+1
     186: q+1
     188: q+1
     190: 1
     192: 1
     194: q+1
     196: 1
     198: 1
     200: q+1
     202: q+1
     204: q+1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: q+1
     223: 1
     224: 1
     225: 1
     226: q+1
     228: 1
     229: 1
     230: 1
     231: q+1
     232: q+1
     234: q+1
     236: q+1
     238: q+1
     240: q^2+q+1
     241: q+1
     242: q+1
     243: q+1
     244: 2
     245: q+1
     246: 2
     247: q+1
     248: 1
     249: 1
     250: 1
     252: 1
     253: 1
     254: 1
     256: 1
     257: 1
     258: 1
     264: q+1
     268: 1
     270: 1
     272: 1
     274: 1
     276: 1
     278: 1
     280: q+1
     282: q+1
     284: 1
     286: q+1
     297: 1
     298: 1
     299: 1
     300: q+1
     301: 2
     303: q+1
     305: 2
     307: q+1
     311: 1
     312: 1
     313: 1
     314: 1
     315: 1
     316: 2
     319: 1
     320: 1
     321: 1
     322: 1
     323: 1
     324: 2
     333: q+1
     335: 1
     336: 1
     337: 1
     342: 1
     343: 1
     344: 1
     356: 1
     358: 1
     360: q+1
     362: 1
     366: 1
     368: 2
     370: 1
     374: 1
     376: 2
     382: q+1
     384: 1
     386: 1
     388: 1
     389: 1
     392: 1
     404: 1
     405: 1
     406: 1
     409: 1
     410: 1
     411: 1
     423: 1
     424: 1
     425: 1
     426: 1
     427: 1
     436: 1
     439: 1
     450: 1
     456: 1
     460: 1
     466: 1
     470: 1
     480: 1
     484: 1
     512: 1
     518: 1
     522: 1
     523: 1
     524: 1
     557: 1
     569: 1
     579: 1
     583: 1
     609: 1
     669: 1

670:   0: 3q+1
       1: 2q^2+q+1
       2: 3q+1
       3: q^2+2q+1
       4: 3q+1
       5: 2q^2+q+1
       6: q^3+q^2+q+1
       7: 2q^2+q+1
       8: 3q+1
       9: q^3+q^2+q+1
      10: 2q^2+q+1
      11: q^3+q^2+q+1
      12: q^2+2q+1
      13: q^3+q^2+q+1
      15: 2q^2+q+1
      16: q^3+q^2+q+1
      17: 2q^2+q+1
      18: q^3+q^2+q+1
      19: q+1
      20: q+1
      21: q+1
      23: 3q+1
      24: 3q+1
      25: q^3+q^2+q+1
      26: q^3+q^2+q+1
      27: 2q+1
      28: q^2+q+1
      29: q^2+q+1
      30: 2q+1
      31: 3q+1
      32: 2q^2+q+1
      33: 3q+1
      34: 2q^2+q+1
      35: 3q+1
      36: 2q^2+q+1
      37: 3q+1
      38: 2q^2+q+1
      39: q^3+q^2+q+1
      40: q^2+q+1
      41: q+1
      42: 2q^2+q+1
      43: q+1
      44: 3q+1
      45: 2q^2+q+1
      46: q+1
      47: 3q+1
      48: q
      49: 2q+1
      50: q^2
      51: q^2+q+1
      52: q
      53: 2q+1
      54: q^2
      55: q^2+q+1
      56: q+1
      57: q+1
      58: q+1
      60: q+1
      61: q+1
      62: q+1
      64: 2q+1
      65: q^2+q+1
      66: 2q+1
      67: q^2+q+1
      68: 2q+1
      69: q^2+q+1
      70: 2q+1
      71: q^2+q+1
      72: 2q+1
      73: q^2+q+1
      74: 2q+1
      75: q^2+q+1
      76: q^2
      77: q^2+q+1
      79: q+1
      80: q
      81: 2q+1
      83: q+1
      84: q+1
      85: q^2+q+1
      86: q+1
      87: q+1
      89: q+1
      91: q+1
      93: q+1
      95: q+1
      96: q+1
      97: q+1
      98: q^2+q+1
      99: q+1
     100: q+1
     101: q+1
     102: q^2+q+1
     103: q+1
     104: q+1
     105: q+1
     106: q+1
     108: 1
     109: 1
     110: 1
     112: 2q+1
     113: q^2+q+1
     114: 2q+1
     115: q^2+q+1
     116: 2q+1
     117: q^2+q+1
     118: 2q+1
     119: q^2+q+1
     120: 2q+1
     121: q^2+q+1
     122: 2q+1
     123: q^2+q+1
     125: 1
     127: q+1
     129: q+1
     131: q+1
     133: q+1
     135: q+1
     137: q+1
     139: q+1
     141: q+1
     143: q+1
     145: 1
     146: 1
     147: 1
     148: q+1
     149: q+1
     150: q^2+q+1
     151: q+1
     152: q+1
     153: q+1
     154: q+1
     155: q+1
     156: q^2+q+1
     157: q+1
     158: q+1
     159: q+1
     160: q^2+q+1
     161: q+1
     163: q+1
     165: q+1
     167: q+1
     169: q+1
     170: 1
     171: 1
     172: 1
     174: 1
     175: 1
     176: 1
     178: 1
     179: 1
     180: 1
     182: 2q+1
     183: q^2+q+1
     184: 2q+1
     185: q^2+q+1
     187: q+1
     189: q+1
     191: 1
     193: 1
     195: q+1
     197: 1
     199: 1
     201: q+1
     203: q+1
     205: q+1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: q+1
     223: 1
     224: 1
     225: 1
     226: q+1
     228: 1
     229: 1
     230: 1
     231: q+1
     233: q+1
     235: q+1
     237: q+1
     239: q+1
     240: q^2+q+1
     241: q+1
     242: q+1
     243: q+1
     244: 2
     245: q+1
     246: 2
     247: q+1
     248: 1
     249: 1
     250: 1
     252: 1
     253: 1
     254: 1
     256: 1
     257: 1
     258: 1
     265: q+1
     269: 1
     271: 1
     273: 1
     275: 1
     277: 1
     279: 1
     281: q+1
     283: q+1
     285: 1
     287: q+1
     297: 1
     298: 1
     299: 1
     300: q+1
     302: 2
     304: q+1
     306: 2
     308: q+1
     311: 1
     312: 1
     313: 1
     314: 1
     315: 1
     316: 2
     319: 1
     320: 1
     321: 1
     322: 1
     323: 1
     324: 2
     333: q+1
     335: 1
     336: 1
     337: 1
     342: 1
     343: 1
     344: 1
     357: 1
     359: 1
     361: q+1
     363: 1
     367: 1
     369: 2
     371: 1
     375: 1
     377: 2
     383: q+1
     385: 1
     387: 1
     388: 1
     389: 1
     392: 1
     404: 1
     405: 1
     406: 1
     409: 1
     410: 1
     411: 1
     423: 1
     424: 1
     425: 1
     426: 1
     427: 1
     437: 1
     440: 1
     451: 1
     457: 1
     461: 1
     467: 1
     471: 1
     481: 1
     485: 1
     512: 1
     518: 1
     522: 1
     523: 1
     524: 1
     558: 1
     570: 1
     580: 1
     584: 1
     609: 1
     670: 1

671:   0: q^2+q+1
       1: 2q^2+1
       2: q^2+q+1
       3: q^2+q+1
       4: q^2+q+1
       6: 2q^2+1
       7: 2q^2+1
       8: q^2+q+1
      11: q^4+q^2+1
      12: q^2+q+1
      19: q^2+1
      20: q^2+1
      21: q^2+1
      23: q+1
      24: q+1
      25: q^2+1
      27: q^2+q+1
      28: 2q^2+1
      30: q^2+q+1
      31: q^2+q+1
      32: 2q^2+1
      33: q^2+q+1
      35: q^2+q+1
      36: 2q^2+1
      37: q^2+q+1
      41: q^2+1
      43: q^2+1
      44: q+1
      46: q^2+1
      47: q+1
      48: q^2+1
      49: q
      50: q^2+1
      51: q^2
      52: q^2+1
      53: q
      60: 1
      61: 1
      62: 1
      64: q+1
      65: q^2+1
      66: q+1
      68: q^2+q+1
      69: 2q^2+1
      70: q^2+q+1
      72: q^2+q+1
      73: 2q^2+1
      74: q^2+q+1
      78: q^2+1
      80: 1
      81: q
      83: 1
      86: q+1
      87: q+1
      88: q^2+1
      89: q
      90: q^2+1
      91: q^2
      92: q^2+1
      93: q
      97: 1
      99: q^2+1
     101: 1
     103: q^2+1
     108: 1
     109: 1
     110: 1
     112: q+1
     113: q^2+1
     114: q+1
     116: q+1
     117: q^2+1
     118: q+1
     120: q^2+q+1
     121: 2q^2+1
     122: q^2+q+1
     124: 1
     125: q
     128: q^2+1
     132: 1
     136: 1
     138: 1
     140: 1
     145: 1
     146: 1
     147: 1
     149: 1
     151: q+1
     153: q+1
     155: 1
     158: q+1
     159: q+1
     161: q^2+1
     162: q^2+1
     163: q
     164: q^2+1
     165: q^2
     166: q^2+1
     167: q
     174: 1
     175: 1
     176: 1
     178: 1
     179: 1
     180: 1
     182: q+1
     183: q^2+1
     184: q+1
     186: 1
     190: 1
     192: 1
     196: 1
     197: q
     198: 1
     199: q
     204: q^2+1
     218: 1
     220: 1
     223: 1
     224: 1
     225: 1
     228: 1
     229: 1
     230: 1
     231: 1
     232: 1
     234: 1
     236: 1
     241: q+1
     242: q+1
     244: q+1
     245: q^2+1
     246: q+1
     256: 1
     257: 1
     258: 1
     268: 1
     272: 1
     274: 1
     276: 1
     278: 1
     280: 1
     284: 1
     285: q
     299: 1
     301: 1
     303: 1
     305: 1
     313: 1
     315: 1
     316: q+1
     321: 1
     323: 1
     324: q+1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: 1
     358: 1
     362: 1
     368: 1
     370: 1
     376: 1
     384: 1
     386: 1
     388: 1
     389: q
     402: 1
     406: 1
     407: 1
     411: 1
     412: 1
     425: 1
     427: 1
     436: 1
     460: 1
     470: 1
     480: 1
     486: 1
     514: 1
     520: 1
     524: 1
     547: 1
     583: 1
     610: 1
     671: 1

672:   0: q^2+q+1
       1: 2q^2+1
       2: q^2+q+1
       3: q^2+q+1
       4: q^2+q+1
       6: 2q^2+1
       7: 2q^2+1
       8: q^2+q+1
      11: q^4+q^2+1
      12: q^2+q+1
      19: q^2+1
      20: q^2+1
      21: q^2+1
      23: q+1
      24: q+1
      25: q^2+1
      27: q^2+q+1
      28: 2q^2+1
      30: q^2+q+1
      31: q^2+q+1
      32: 2q^2+1
      33: q^2+q+1
      35: q^2+q+1
      36: 2q^2+1
      37: q^2+q+1
      41: q^2+1
      43: q^2+1
      44: q+1
      46: q^2+1
      47: q+1
      48: q
      49: q^2+1
      50: q^2
      51: q^2+1
      52: q
      53: q^2+1
      60: 1
      61: 1
      62: 1
      64: q+1
      65: q^2+1
      66: q+1
      68: q^2+q+1
      69: 2q^2+1
      70: q^2+q+1
      72: q^2+q+1
      73: 2q^2+1
      74: q^2+q+1
      79: q^2+1
      80: q
      81: 1
      83: 1
      86: q+1
      87: q+1
      88: q
      89: q^2+1
      90: q^2
      91: q^2+1
      92: q
      93: q^2+1
      97: 1
      99: q^2+1
     101: 1
     103: q^2+1
     108: 1
     109: 1
     110: 1
     112: q+1
     113: q^2+1
     114: q+1
     116: q+1
     117: q^2+1
     118: q+1
     120: q^2+q+1
     121: 2q^2+1
     122: q^2+q+1
     124: q
     125: 1
     129: q^2+1
     133: 1
     137: 1
     139: 1
     141: 1
     145: 1
     146: 1
     147: 1
     149: 1
     151: q+1
     153: q+1
     155: 1
     158: q+1
     159: q+1
     161: q^2+1
     162: q
     163: q^2+1
     164: q^2
     165: q^2+1
     166: q
     167: q^2+1
     174: 1
     175: 1
     176: 1
     178: 1
     179: 1
     180: 1
     182: q+1
     183: q^2+1
     184: q+1
     187: 1
     191: 1
     193: 1
     196: q
     197: 1
     198: q
     199: 1
     205: q^2+1
     218: 1
     220: 1
     223: 1
     224: 1
     225: 1
     228: 1
     229: 1
     230: 1
     231: 1
     233: 1
     235: 1
     237: 1
     241: q+1
     242: q+1
     244: q+1
     245: q^2+1
     246: q+1
     256: 1
     257: 1
     258: 1
     269: 1
     273: 1
     275: 1
     277: 1
     279: 1
     281: 1
     284: q
     285: 1
     299: 1
     302: 1
     304: 1
     306: 1
     313: 1
     315: 1
     316: q+1
     321: 1
     323: 1
     324: q+1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: 1
     359: 1
     363: 1
     369: 1
     371: 1
     377: 1
     385: 1
     387: 1
     388: q
     389: 1
     402: 1
     406: 1
     407: 1
     411: 1
     412: 1
     425: 1
     427: 1
     440: 1
     461: 1
     471: 1
     481: 1
     487: 1
     514: 1
     520: 1
     524: 1
     548: 1
     584: 1
     610: 1
     672: 1

673:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+1
       3: q+1
       4: q+1
       5: q^2+2q+1
       6: q+1
       7: q+1
       8: q+1
       9: q+1
      10: q+1
      11: q+1
      12: q^2+q+1
      13: q+1
      14: q+1
      15: q^2+2q+1
      16: q+1
      17: q+1
      18: q+1
      19: q^2+2q+1
      20: q+1
      21: q+1
      22: q+1
      23: q^2+2q+1
      24: q+1
      25: q+1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      30: q+1
      31: q+1
      32: q+1
      33: q+1
      34: q+1
      35: q+1
      36: q+1
      37: q+1
      38: q+1
      39: q+1
      40: q+1
      41: q+1
      42: q+1
      43: q+1
      44: q+1
      45: q+1
      46: q+1
      47: q+1
      48: q+1
      50: q+1
      52: q+1
      54: q+1
      56: q^2+2q+1
      57: q+1
      58: q+1
      59: q+1
      60: q^2+2q+1
      61: q+1
      62: q+1
      63: q+1
      64: q+1
      65: q+1
      66: q+1
      67: q+1
      68: 1
      69: 1
      70: q+1
      71: 1
      72: 1
      73: 1
      74: q+1
      75: 1
      76: q+1
      78: q+1
      80: q+1
      82: q+1
      83: q+1
      84: q+1
      85: q+1
      86: 1
      87: 1
      88: 1
      90: 1
      92: q+1
      94: 1
      96: q+1
      97: q+1
      98: 1
      99: 1
     100: q+1
     101: q+1
     102: 1
     103: 1
     104: q^2+2q+1
     105: q+1
     106: q+1
     107: q+1
     108: q+1
     109: q+1
     110: q+1
     111: q+1
     112: 1
     113: 1
     114: q+1
     115: 1
     116: 1
     117: 1
     118: q+1
     119: 1
     120: 1
     121: 1
     123: 1
     124: 1
     126: 1
     128: 1
     130: q+1
     132: q+1
     134: q+1
     135: q+1
     136: 1
     138: 1
     140: q+1
     142: 1
     144: q+1
     145: q+1
     146: 1
     147: 1
     148: q+1
     149: 1
     150: 1
     152: 1
     153: 1
     154: q+1
     155: 1
     156: 1
     157: 1
     158: 1
     160: 1
     161: 1
     162: 1
     164: 1
     168: 1
     170: q+1
     171: q+1
     172: q+1
     173: q+1
     174: 1
     175: 1
     176: q+1
     177: 1
     178: 1
     179: 1
     180: q+1
     181: 1
     182: 1
     183: 1
     185: 1
     186: 1
     188: 1
     190: 1
     192: 1
     194: 1
     200: q+1
     202: 1
     204: 1
     206: 1
     208: 1
     210: q+1
     212: 1
     214: q+1
     215: q+1
     216: q+1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     223: 1
     225: 1
     226: 1
     227: 1
     228: 1
     229: 1
     231: 1
     232: 1
     234: 1
     238: 1
     240: 1
     243: 1
     244: 1
     248: 1
     249: 1
     250: q+1
     251: 1
     252: 1
     253: 1
     254: q+1
     255: 1
     256: 1
     257: 1
     259: 1
     260: 1
     262: 1
     264: 1
     266: 1
     268: 1
     270: 1
     280: 1
     282: 1
     286: 1
     288: 1
     290: 1
     292: q+1
     294: 1
     296: q+1
     297: 1
     298: 1
     301: 1
     309: 1
     310: 1
     311: 1
     314: 1
     315: 1
     317: 1
     318: 1
     319: 1
     320: 1
     321: 1
     325: 1
     327: 1
     331: 1
     333: 1
     334: 1
     335: 1
     338: 1
     342: 1
     343: 1
     345: 1
     346: 1
     348: 1
     350: 1
     352: 1
     354: 1
     356: 1
     378: 1
     380: 1
     382: 1
     390: 1
     391: 1
     394: 1
     403: 1
     405: 1
     408: 1
     409: 1
     413: 1
     415: 1
     419: 1
     421: 1
     422: 1
     423: 1
     428: 1
     432: 1
     442: 1
     444: 1
     446: 1
     474: 1
     476: 1
     478: 1
     489: 1
     499: 1
     511: 1
     516: 1
     521: 1
     525: 1
     537: 1
     573: 1
     587: 1
     611: 1
     673: 1

674:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+1
       3: q+1
       4: q+1
       5: q^2+2q+1
       6: q+1
       7: q+1
       8: q+1
       9: q+1
      10: q+1
      11: q+1
      12: q^2+q+1
      13: q+1
      14: q+1
      15: q^2+2q+1
      16: q+1
      17: q+1
      18: q+1
      19: q^2+2q+1
      20: q+1
      21: q+1
      22: q+1
      23: q^2+2q+1
      24: q+1
      25: q+1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      30: q+1
      31: q+1
      32: q+1
      33: q+1
      34: q+1
      35: q+1
      36: q+1
      37: q+1
      38: q+1
      39: q+1
      40: q+1
      41: q+1
      42: q+1
      43: q+1
      44: q+1
      45: q+1
      46: q+1
      47: q+1
      49: q+1
      51: q+1
      53: q+1
      55: q+1
      56: q^2+2q+1
      57: q+1
      58: q+1
      59: q+1
      60: q^2+2q+1
      61: q+1
      62: q+1
      63: q+1
      64: q+1
      65: q+1
      66: q+1
      67: q+1
      68: 1
      69: 1
      70: q+1
      71: 1
      72: 1
      73: 1
      74: q+1
      75: 1
      77: q+1
      79: q+1
      81: q+1
      82: q+1
      83: q+1
      84: q+1
      85: q+1
      86: 1
      87: 1
      89: 1
      91: 1
      93: q+1
      95: 1
      96: q+1
      97: q+1
      98: 1
      99: 1
     100: q+1
     101: q+1
     102: 1
     103: 1
     104: q^2+2q+1
     105: q+1
     106: q+1
     107: q+1
     108: q+1
     109: q+1
     110: q+1
     111: q+1
     112: 1
     113: 1
     114: q+1
     115: 1
     116: 1
     117: 1
     118: q+1
     119: 1
     120: 1
     121: 1
     123: 1
     125: 1
     127: 1
     129: 1
     131: q+1
     133: q+1
     134: q+1
     135: q+1
     137: 1
     139: 1
     141: q+1
     143: 1
     144: q+1
     145: q+1
     146: 1
     147: 1
     148: q+1
     149: 1
     150: 1
     152: 1
     153: 1
     154: q+1
     155: 1
     156: 1
     157: 1
     158: 1
     160: 1
     161: 1
     163: 1
     165: 1
     169: 1
     170: q+1
     171: q+1
     172: q+1
     173: q+1
     174: 1
     175: 1
     176: q+1
     177: 1
     178: 1
     179: 1
     180: q+1
     181: 1
     182: 1
     183: 1
     185: 1
     187: 1
     189: 1
     191: 1
     193: 1
     195: 1
     201: q+1
     203: 1
     205: 1
     207: 1
     209: 1
     211: q+1
     213: 1
     214: q+1
     215: q+1
     216: q+1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     223: 1
     225: 1
     226: 1
     227: 1
     228: 1
     229: 1
     231: 1
     233: 1
     235: 1
     239: 1
     240: 1
     243: 1
     244: 1
     248: 1
     249: 1
     250: q+1
     251: 1
     252: 1
     253: 1
     254: q+1
     255: 1
     256: 1
     257: 1
     259: 1
     261: 1
     263: 1
     265: 1
     267: 1
     269: 1
     271: 1
     281: 1
     283: 1
     287: 1
     289: 1
     291: 1
     293: q+1
     295: 1
     296: q+1
     297: 1
     298: 1
     302: 1
     309: 1
     310: 1
     311: 1
     314: 1
     315: 1
     317: 1
     318: 1
     319: 1
     320: 1
     321: 1
     326: 1
     328: 1
     332: 1
     333: 1
     334: 1
     335: 1
     338: 1
     342: 1
     343: 1
     345: 1
     347: 1
     349: 1
     351: 1
     353: 1
     355: 1
     357: 1
     379: 1
     381: 1
     383: 1
     390: 1
     391: 1
     395: 1
     403: 1
     405: 1
     408: 1
     409: 1
     414: 1
     416: 1
     420: 1
     421: 1
     422: 1
     423: 1
     428: 1
     432: 1
     443: 1
     445: 1
     447: 1
     475: 1
     477: 1
     479: 1
     490: 1
     500: 1
     511: 1
     516: 1
     521: 1
     525: 1
     538: 1
     574: 1
     588: 1
     611: 1
     674: 1

675:   0: q+1
       1: q+1
       2: q^2+q+1
       3: q^2+2q+1
       4: q+1
       5: q+1
       6: q^2+2q+1
       7: q+1
       8: q^2+q+1
       9: q^2+2q+1
      10: q+1
      11: q+1
      13: q+1
      14: q+1
      15: q+1
      16: q^2+2q+1
      17: q+1
      18: q+1
      19: q+1
      20: q^2+2q+1
      21: q+1
      22: q+1
      23: q+1
      24: q+1
      25: q+1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      31: q+1
      32: q+1
      33: q^2+q+1
      34: q+1
      35: q+1
      36: q+1
      37: q^2+q+1
      38: q+1
      39: q+1
      40: q+1
      41: q+1
      42: q+1
      43: q+1
      44: q+1
      45: q+1
      46: q+1
      47: q+1
      48: q+1
      50: q+1
      52: q^2+q+1
      54: q+1
      56: q+1
      57: q^2+2q+1
      58: q+1
      59: q+1
      60: q+1
      61: q+1
      62: q+1
      63: q+1
      64: q+1
      65: 1
      67: 1
      68: q+1
      69: q+1
      71: q+1
      72: q+1
      73: q+1
      75: q+1
      76: q+1
      78: q+1
      80: q+1
      82: q+1
      83: 1
      84: q+1
      85: 1
      88: q+1
      90: q+1
      94: q+1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     100: q+1
     101: q+1
     102: q+1
     103: q+1
     104: q+1
     105: q+1
     106: q+1
     107: q+1
     108: q+1
     109: 1
     111: 1
     112: q+1
     113: 1
     115: 1
     116: q+1
     117: 1
     119: 1
     120: q+1
     121: q+1
     123: q+1
     126: q+1
     128: q+1
     130: q+1
     132: q+1
     134: q+1
     135: 1
     136: q+1
     138: 1
     142: 1
     144: 1
     145: 1
     148: q+1
     149: 1
     150: 1
     152: q+1
     154: q+1
     155: 1
     156: 1
     157: q+1
     160: q+1
     161: q+1
     162: q+1
     164: q+1
     168: q+1
     170: q+1
     171: 1
     173: 1
     174: q+1
     175: 1
     177: 1
     178: q+1
     179: 1
     181: 1
     182: q+1
     183: 1
     185: 1
     186: 1
     188: 1
     194: q+1
     200: q+1
     202: q+1
     204: q+1
     206: q+1
     208: 1
     212: 1
     214: 1
     215: 1
     216: 1
     221: 1
     222: 1
     223: 1
     226: 1
     227: 1
     228: 1
     231: 1
     232: q+1
     234: 1
     238: 1
     240: 1
     243: q+1
     245: 1
     247: 1
     248: q+1
     249: 1
     251: 1
     252: q+1
     253: 1
     255: 1
     256: q+1
     257: 1
     259: 1
     260: 1
     262: 1
     264: 1
     280: 1
     282: 1
     286: q+1
     288: q+1
     290: 1
     294: 1
     296: 1
     300: 1
     303: 1
     307: 1
     309: 1
     310: 1
     311: 1
     317: 1
     318: 1
     319: 1
     325: q+1
     327: 1
     331: 1
     333: 1
     334: 1
     335: 1
     339: 1
     341: 1
     342: q+1
     343: 1
     345: 1
     346: 1
     348: 1
     350: 1
     360: 1
     378: 1
     380: 1
     382: 1
     393: 1
     396: 1
     400: 1
     403: 1
     408: 1
     413: q+1
     415: 1
     419: 1
     421: 1
     422: 1
     423: 1
     429: 1
     433: 1
     435: 1
     442: 1
     452: 1
     474: 1
     476: 1
     478: 1
     491: 1
     501: 1
     505: 1
     507: 1
     521: 1
     526: 1
     545: 1
     573: 1
     589: 1
     612: 1
     675: 1

676:   0: q+1
       1: q+1
       2: q^2+q+1
       3: q^2+2q+1
       4: q+1
       5: q+1
       6: q^2+2q+1
       7: q+1
       8: q^2+q+1
       9: q^2+2q+1
      10: q+1
      11: q+1
      13: q+1
      14: q+1
      15: q+1
      16: q^2+2q+1
      17: q+1
      18: q+1
      19: q+1
      20: q^2+2q+1
      21: q+1
      22: q+1
      23: q+1
      24: q+1
      25: q+1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      31: q+1
      32: q+1
      33: q^2+q+1
      34: q+1
      35: q+1
      36: q+1
      37: q^2+q+1
      38: q+1
      39: q+1
      40: q+1
      41: q+1
      42: q+1
      43: q+1
      44: q+1
      45: q+1
      46: q+1
      47: q+1
      49: q+1
      51: q+1
      53: q^2+q+1
      55: q+1
      56: q+1
      57: q^2+2q+1
      58: q+1
      59: q+1
      60: q+1
      61: q+1
      62: q+1
      63: q+1
      64: q+1
      65: 1
      67: 1
      68: q+1
      69: q+1
      71: q+1
      72: q+1
      73: q+1
      75: q+1
      77: q+1
      79: q+1
      81: q+1
      82: q+1
      83: 1
      84: q+1
      85: 1
      89: q+1
      91: q+1
      95: q+1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     100: q+1
     101: q+1
     102: q+1
     103: q+1
     104: q+1
     105: q+1
     106: q+1
     107: q+1
     108: q+1
     109: 1
     111: 1
     112: q+1
     113: 1
     115: 1
     116: q+1
     117: 1
     119: 1
     120: q+1
     121: q+1
     123: q+1
     127: q+1
     129: q+1
     131: q+1
     133: q+1
     134: q+1
     135: 1
     137: q+1
     139: 1
     143: 1
     144: 1
     145: 1
     148: q+1
     149: 1
     150: 1
     152: q+1
     154: q+1
     155: 1
     156: 1
     157: q+1
     160: q+1
     161: q+1
     163: q+1
     165: q+1
     169: q+1
     170: q+1
     171: 1
     173: 1
     174: q+1
     175: 1
     177: 1
     178: q+1
     179: 1
     181: 1
     182: q+1
     183: 1
     185: 1
     187: 1
     189: 1
     195: q+1
     201: q+1
     203: q+1
     205: q+1
     207: q+1
     209: 1
     213: 1
     214: 1
     215: 1
     216: 1
     221: 1
     222: 1
     223: 1
     226: 1
     227: 1
     228: 1
     231: 1
     233: q+1
     235: 1
     239: 1
     240: 1
     243: q+1
     245: 1
     247: 1
     248: q+1
     249: 1
     251: 1
     252: q+1
     253: 1
     255: 1
     256: q+1
     257: 1
     259: 1
     261: 1
     263: 1
     265: 1
     281: 1
     283: 1
     287: q+1
     289: q+1
     291: 1
     295: 1
     296: 1
     300: 1
     304: 1
     308: 1
     309: 1
     310: 1
     311: 1
     317: 1
     318: 1
     319: 1
     326: q+1
     328: 1
     332: 1
     333: 1
     334: 1
     335: 1
     339: 1
     341: 1
     342: q+1
     343: 1
     345: 1
     347: 1
     349: 1
     351: 1
     361: 1
     379: 1
     381: 1
     383: 1
     393: 1
     397: 1
     401: 1
     403: 1
     408: 1
     414: q+1
     416: 1
     420: 1
     421: 1
     422: 1
     423: 1
     429: 1
     433: 1
     435: 1
     443: 1
     453: 1
     475: 1
     477: 1
     479: 1
     492: 1
     502: 1
     506: 1
     507: 1
     521: 1
     526: 1
     546: 1
     574: 1
     590: 1
     612: 1
     676: 1

677:   0: 1
       1: 1
       2: 1
       3: 1
       4: q^2+q+1
       5: 1
       6: 1
       7: q^2+q+1
       8: q^2+q+1
       9: 1
      10: q^2+q+1
      11: 1
      12: q^2+q+1
      13: 1
      14: 1
      15: 1
      16: 1
      17: q^2+q+1
      18: 1
      19: 1
      20: 1
      21: q^2+q+1
      22: 1
      23: 1
      24: q^2+q+1
      25: 1
      26: 1
      27: 1
      28: 1
      29: 1
      30: q^2+q+1
      31: 1
      32: 1
      33: 1
      34: 1
      35: 1
      36: 1
      37: 1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      48: 1
      50: 1
      52: 1
      54: 1
      56: 1
      57: 1
      58: q^2+q+1
      59: 1
      60: 1
      61: q^2+q+1
      62: 1
      63: 1
      64: 1
      65: 1
      66: q^2+q+1
      67: 1
      68: 1
      69: 1
      70: 1
      71: 1
      72: 1
      73: 1
      74: 1
      75: 1
      76: 1
      78: 1
      80: 1
      82: 1
      83: 1
      84: 1
      85: 1
      86: 1
      87: 1
      88: 1
      90: 1
      92: 1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: q^2+q+1
     106: 1
     107: 1
     108: 1
     109: 1
     110: q^2+q+1
     111: 1
     112: 1
     113: 1
     114: 1
     115: 1
     116: 1
     117: 1
     118: 1
     119: 1
     122: 1
     124: 1
     126: 1
     128: 1
     130: 1
     132: 1
     134: 1
     135: 1
     136: 1
     138: 1
     140: 1
     142: 1
     144: 1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     152: 1
     153: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     166: 1
     170: 1
     171: 1
     172: q^2+q+1
     173: 1
     174: 1
     175: 1
     176: 1
     177: 1
     178: 1
     179: 1
     180: 1
     181: 1
     184: 1
     186: 1
     188: 1
     190: 1
     192: 1
     194: 1
     200: 1
     206: 1
     208: 1
     210: 1
     212: 1
     214: 1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     223: 1
     225: 1
     226: 1
     227: 1
     228: 1
     229: 1
     236: 1
     246: 1
     248: 1
     249: 1
     250: 1
     251: 1
     252: 1
     253: 1
     254: 1
     255: 1
     258: 1
     260: 1
     262: 1
     264: 1
     266: 1
     268: 1
     270: 1
     288: 1
     290: 1
     292: 1
     294: 1
     296: 1
     297: 1
     298: 1
     305: 1
     309: 1
     310: 1
     311: 1
     314: 1
     315: 1
     317: 1
     318: 1
     319: 1
     320: 1
     321: 1
     329: 1
     340: 1
     344: 1
     346: 1
     348: 1
     350: 1
     352: 1
     354: 1
     356: 1
     390: 1
     391: 1
     398: 1
     403: 1
     405: 1
     408: 1
     409: 1
     417: 1
     430: 1
     434: 1
     442: 1
     444: 1
     446: 1
     493: 1
     503: 1
     511: 1
     516: 1
     527: 1
     537: 1
     591: 1
     613: 1
     677: 1

678:   0: 1
       1: 1
       2: 1
       3: 1
       4: q^2+q+1
       5: 1
       6: 1
       7: q^2+q+1
       8: q^2+q+1
       9: 1
      10: q^2+q+1
      11: 1
      12: q^2+q+1
      13: 1
      14: 1
      15: 1
      16: 1
      17: q^2+q+1
      18: 1
      19: 1
      20: 1
      21: q^2+q+1
      22: 1
      23: 1
      24: q^2+q+1
      25: 1
      26: 1
      27: 1
      28: 1
      29: 1
      30: q^2+q+1
      31: 1
      32: 1
      33: 1
      34: 1
      35: 1
      36: 1
      37: 1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      49: 1
      51: 1
      53: 1
      55: 1
      56: 1
      57: 1
      58: q^2+q+1
      59: 1
      60: 1
      61: q^2+q+1
      62: 1
      63: 1
      64: 1
      65: 1
      66: q^2+q+1
      67: 1
      68: 1
      69: 1
      70: 1
      71: 1
      72: 1
      73: 1
      74: 1
      75: 1
      77: 1
      79: 1
      81: 1
      82: 1
      83: 1
      84: 1
      85: 1
      86: 1
      87: 1
      89: 1
      91: 1
      93: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: q^2+q+1
     106: 1
     107: 1
     108: 1
     109: 1
     110: q^2+q+1
     111: 1
     112: 1
     113: 1
     114: 1
     115: 1
     116: 1
     117: 1
     118: 1
     119: 1
     122: 1
     125: 1
     127: 1
     129: 1
     131: 1
     133: 1
     134: 1
     135: 1
     137: 1
     139: 1
     141: 1
     143: 1
     144: 1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     152: 1
     153: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     167: 1
     170: 1
     171: 1
     172: q^2+q+1
     173: 1
     174: 1
     175: 1
     176: 1
     177: 1
     178: 1
     179: 1
     180: 1
     181: 1
     184: 1
     187: 1
     189: 1
     191: 1
     193: 1
     195: 1
     201: 1
     207: 1
     209: 1
     211: 1
     213: 1
     214: 1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     223: 1
     225: 1
     226: 1
     227: 1
     228: 1
     229: 1
     237: 1
     246: 1
     248: 1
     249: 1
     250: 1
     251: 1
     252: 1
     253: 1
     254: 1
     255: 1
     258: 1
     261: 1
     263: 1
     265: 1
     267: 1
     269: 1
     271: 1
     289: 1
     291: 1
     293: 1
     295: 1
     296: 1
     297: 1
     298: 1
     306: 1
     309: 1
     310: 1
     311: 1
     314: 1
     315: 1
     317: 1
     318: 1
     319: 1
     320: 1
     321: 1
     330: 1
     340: 1
     344: 1
     347: 1
     349: 1
     351: 1
     353: 1
     355: 1
     357: 1
     390: 1
     391: 1
     399: 1
     403: 1
     405: 1
     408: 1
     409: 1
     418: 1
     430: 1
     434: 1
     443: 1
     445: 1
     447: 1
     494: 1
     504: 1
     511: 1
     516: 1
     527: 1
     538: 1
     592: 1
     613: 1
     678: 1

679:   0: 1
       1: 1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
       9: 1
      10: 1
      11: q+1
      13: q+1
      14: q+1
      15: 1
      16: 1
      17: 1
      18: q+1
      19: 1
      20: 1
      21: 1
      22: q+1
      25: 1
      26: 1
      27: 1
      28: 1
      29: 1
      31: 1
      32: 1
      34: 1
      35: 1
      36: 1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      45: 1
      46: 1
      48: 1
      50: 1
      54: 1
      56: 1
      57: 1
      58: 1
      59: q+1
      62: 1
      63: 1
      65: 1
      67: 1
      68: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: 1
      76: 1
      78: 1
      82: 1
      84: 1
      85: 1
      88: 1
      90: 1
      94: 1
      96: 1
      98: 1
      99: 1
     100: 1
     102: 1
     103: 1
     106: 1
     107: 1
     109: 1
     111: 1
     113: 1
     115: 1
     117: 1
     119: 1
     120: 1
     121: 1
     123: 1
     126: 1
     128: 1
     130: 1
     134: 1
     138: 1
     142: 1
     144: 1
     150: 1
     152: 1
     156: 1
     157: 1
     160: 1
     161: 1
     162: 1
     164: 1
     168: 1
     171: 1
     173: 1
     175: 1
     177: 1
     179: 1
     181: 1
     183: 1
     185: 1
     188: 1
     194: 1
     202: 1
     204: 1
     208: 1
     212: 1
     215: 1
     222: 1
     227: 1
     234: 1
     238: 1
     240: 1
     243: 1
     245: 1
     247: 1
     249: 1
     251: 1
     253: 1
     255: 1
     257: 1
     259: 1
     260: 1
     282: 1
     286: 1
     290: 1
     294: 1
     300: 1
     303: 1
     307: 1
     310: 1
     318: 1
     327: 1
     331: 1
     334: 1
     339: 1
     341: 1
     343: 1
     345: 1
     346: 1
     360: 1
     378: 1
     393: 1
     396: 1
     400: 1
     415: 1
     419: 1
     422: 1
     431: 1
     433: 1
     435: 1
     452: 1
     474: 1
     495: 1
     501: 1
     505: 1
     507: 1
     528: 1
     545: 1
     593: 1
     614: 1
     679: 1

680:   0: 1
       1: 1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
       9: 1
      10: 1
      11: q+1
      13: q+1
      14: q+1
      15: 1
      16: 1
      17: 1
      18: q+1
      19: 1
      20: 1
      21: 1
      22: q+1
      25: 1
      26: 1
      27: 1
      28: 1
      29: 1
      31: 1
      32: 1
      34: 1
      35: 1
      36: 1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      45: 1
      46: 1
      49: 1
      51: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: q+1
      62: 1
      63: 1
      65: 1
      67: 1
      68: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: 1
      77: 1
      79: 1
      82: 1
      84: 1
      85: 1
      89: 1
      91: 1
      95: 1
      96: 1
      98: 1
      99: 1
     100: 1
     102: 1
     103: 1
     106: 1
     107: 1
     109: 1
     111: 1
     113: 1
     115: 1
     117: 1
     119: 1
     120: 1
     121: 1
     123: 1
     127: 1
     129: 1
     131: 1
     134: 1
     139: 1
     143: 1
     144: 1
     150: 1
     152: 1
     156: 1
     157: 1
     160: 1
     161: 1
     163: 1
     165: 1
     169: 1
     171: 1
     173: 1
     175: 1
     177: 1
     179: 1
     181: 1
     183: 1
     185: 1
     189: 1
     195: 1
     203: 1
     205: 1
     209: 1
     213: 1
     215: 1
     222: 1
     227: 1
     235: 1
     239: 1
     240: 1
     243: 1
     245: 1
     247: 1
     249: 1
     251: 1
     253: 1
     255: 1
     257: 1
     259: 1
     261: 1
     283: 1
     287: 1
     291: 1
     295: 1
     300: 1
     304: 1
     308: 1
     310: 1
     318: 1
     328: 1
     332: 1
     334: 1
     339: 1
     341: 1
     343: 1
     345: 1
     347: 1
     361: 1
     379: 1
     393: 1
     397: 1
     401: 1
     416: 1
     420: 1
     422: 1
     431: 1
     433: 1
     435: 1
     453: 1
     475: 1
     496: 1
     502: 1
     506: 1
     507: 1
     528: 1
     546: 1
     594: 1
     614: 1
     680: 1

681:   0: 2
       1: 2
       2: 2
       3: 2q+2
       4: 2
       5: 2q^2+2
       6: 2q+2
       7: 2
       8: 2
       9: q^3+q^2+q+2
      10: 2q^2+2
      11: 2q+2
      13: q^3+q^2+q+2
      14: q^3+q^2+q+2
      15: 2
      16: q+2
      17: 2
      18: q+2
      19: 2
      20: 2q+2
      21: 2
      22: q^3+q^2+q+2
      23: 2
      24: 2
      25: 2q+2
      26: q^3+q^2+q+2
      27: 2
      28: 2
      29: q^2+2
      31: 2
      32: 2
      33: 2
      34: 2q^2+2
      35: 2
      36: 2
      37: 2
      38: 2q^2+2
      39: q+2
      40: 2
      41: 2
      42: 2
      43: 2
      44: 2
      45: 2
      46: 2
      47: 2
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: q^2+1
      55: q^2+1
      56: 2
      57: q+2
      58: 2
      59: q+2
      60: 2
      61: 2
      62: 2q+2
      63: q^3+q^2+q+2
      64: 2
      65: 2
      67: q^2+2
      68: 2
      69: 2
      71: q^2+2
      72: 2
      73: 2
      75: q^2+2
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: 1
      82: q+2
      83: 2
      84: 2
      85: 2
      88: 1
      89: 1
      90: 1
      91: 1
      94: 1
      95: 1
      96: 2
      97: 2
      98: 2
      99: 2
     100: 2
     101: 2
     102: 2
     103: 2
     104: 2
     105: 2
     106: q+2
     107: q+2
     108: 2
     109: 2
     111: q^2+2
     112: 2
     113: 2
     115: q^2+2
     116: 2
     117: 2
     119: q^2+2
     120: 2
     121: 2
     123: q^2+2
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 1
     134: q+2
     135: 2
     136: 1
     137: 1
     138: 1
     139: 1
     142: 1
     143: 1
     144: 2
     145: 2
     148: 2
     149: 2
     150: 2
     152: 2
     154: 2
     155: 2
     156: 2
     157: 2
     160: 2
     161: 2
     162: 1
     163: 1
     164: 1
     165: 1
     168: 1
     169: 1
     170: 1
     171: 1
     173: 1
     174: 2
     175: 2
     177: q^2+2
     178: 2
     179: 2
     181: q^2+2
     182: 2
     183: 2
     185: q^2+2
     186: 1
     187: 1
     188: 1
     189: 1
     194: 1
     195: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     206: 1
     207: 1
     208: 1
     209: 1
     212: 1
     213: 1
     214: 2
     215: 1
     216: 1
     221: 2
     222: 2
     223: 2
     226: 2
     227: 2
     228: 2
     231: 2
     232: 1
     233: 1
     234: 1
     235: 1
     238: 1
     239: 1
     240: 2
     243: 2
     245: 2
     247: 2
     248: 1
     249: 1
     251: 1
     252: 1
     253: 1
     255: 1
     256: 2
     257: 2
     259: q^2+2
     260: 1
     261: 1
     262: 1
     263: 1
     264: 1
     265: 1
     280: 1
     281: 1
     282: 1
     283: 1
     286: 1
     287: 1
     296: 1
     300: 2
     303: 1
     304: 1
     307: 1
     308: 1
     309: 2
     310: 1
     311: 1
     317: 2
     318: 1
     319: 1
     325: 1
     326: 1
     327: 1
     328: 1
     331: 1
     332: 1
     333: 2
     334: 2
     335: 2
     339: 2
     341: 2
     342: 1
     343: 1
     345: 1
     350: 1
     351: 1
     360: 1
     361: 1
     378: 1
     379: 1
     380: 1
     381: 1
     382: 1
     383: 1
     393: 2
     396: 1
     397: 1
     400: 1
     401: 1
     403: 1
     408: 1
     421: 2
     422: 1
     423: 1
     429: 2
     431: 2
     433: 1
     435: 1
     452: 1
     453: 1
     478: 1
     479: 1
     488: 2
     491: 1
     492: 1
     495: 1
     496: 1
     507: 1
     521: 1
     526: 1
     528: 1
     535: 1
     536: 1
     595: 1
     612: 1
     614: 1
     681: 1

682:   0: 5q^2+6q+2
       1: 5q^2+6q+2
       2: 2q^3+6q^2+6q+2
       3: 5q^2+6q+2
       4: 2q^2+4q+2
       5: 2q^3+3q^2+3q+2
       6: 5q^2+6q+2
       7: 2q^2+4q+2
       8: 2q^2+4q+2
       9: 2q^3+3q^2+3q+2
      10: 2q^3+2q^2+2q+2
      11: 2q^3+3q^2+3q+2
      12: 2q^2+4q+2
      13: 2q^2+q+2
      14: 2q^2+q+2
      15: 3q^2+3q+2
      16: 3q^2+3q+2
      17: 2q^2+2q+2
      18: 2q^2+q+2
      19: 5q^2+6q+2
      20: 5q^2+6q+2
      21: 2q^2+4q+2
      22: 2q^2+q+2
      23: 3q^2+6q+2
      24: 4q+2
      25: 3q^2+3q+2
      26: 2q^2+q+2
      27: 5q^2+6q+2
      28: 5q^2+6q+2
      29: 2q^3+3q^2+3q+2
      30: 2q^2+4q+2
      31: q^2+4q+2
      32: q^2+4q+2
      33: 2q^2+4q+2
      34: q^3+q^2+2q+2
      35: q^2+4q+2
      36: q^2+4q+2
      37: 2q^2+4q+2
      38: q^3+q^2+2q+2
      39: 2q^2+q+2
      40: 3q^2+3q+2
      41: 5q^2+6q+2
      42: q^2+2q+2
      43: q^2+4q+2
      44: 4q+2
      45: q^2+2q+2
      46: q^2+4q+2
      47: 4q+2
      48: 2q+1
      49: 2q+1
      50: 2q+1
      51: 2q+1
      52: q^2+2q+1
      53: q^2+2q+1
      54: q+1
      55: q+1
      56: 3q^2+3q+2
      57: 3q^2+3q+2
      58: 2q^2+2q+2
      59: 2q^2+q+2
      60: 3q^2+6q+2
      61: 4q+2
      62: 3q^2+3q+2
      63: 2q^2+q+2
      64: 3q^2+6q+2
      65: 3q^2+3q+2
      66: 4q+2
      67: 2q^2+q+2
      68: q^2+4q+2
      69: q^2+4q+2
      70: 2q^2+4q+2
      71: q^3+q^2+2q+2
      72: q^2+4q+2
      73: q^2+4q+2
      74: 2q^2+4q+2
      75: q^3+q^2+2q+2
      76: q+1
      77: q+1
      78: 2q+1
      79: 2q+1
      80: 2q+1
      81: 2q+1
      82: 2q^2+q+2
      83: q^2+3q+2
      84: 3q^2+3q+2
      85: 2q^2+q+2
      86: 4q+2
      87: 4q+2
      88: 2q+1
      89: 2q+1
      90: 2q+1
      91: 2q+1
      92: q^2+2q+1
      93: q^2+2q+1
      94: q+1
      95: q+1
      96: q^2+2q+2
      97: 4q+2
      98: q^2+2q+2
      99: q^2+4q+2
     100: q^2+2q+2
     101: 4q+2
     102: q^2+2q+2
     103: q^2+4q+2
     104: q^2+3q+2
     105: 2q+2
     106: q+2
     107: q+2
     108: 3q^2+6q+2
     109: 3q^2+3q+2
     110: 4q+2
     111: 2q^2+q+2
     112: 3q+2
     113: q^2+q+2
     114: 3q+2
     115: q^2+2
     116: 3q+2
     117: q^2+q+2
     118: 3q+2
     119: q^2+2
     120: 4q+2
     121: 4q+2
     123: 2q+2
     124: 2q+1
     125: 2q+1
     126: q+1
     127: q+1
     128: 2q+1
     129: 2q+1
     130: q+1
     131: q+1
     132: 2q+1
     133: 2q+1
     134: q+2
     135: q+2
     136: q+1
     137: q+1
     138: 1
     139: 1
     140: q+1
     141: q+1
     142: 1
     143: 1
     144: 2q^2+q+2
     145: q^2+3q+2
     146: 4q+2
     147: 4q+2
     148: 2q+2
     149: q+2
     150: q^2+2
     152: q^2+2q+2
     153: 3q+2
     154: 2q+2
     155: q+2
     156: q^2+2
     157: q^2+2q+2
     158: 3q+2
     160: 2q+2
     161: 4q+2
     162: 2q+1
     163: 2q+1
     164: 2q+1
     165: 2q+1
     168: q+1
     169: q+1
     170: q^2+3q+2
     171: q+2
     172: 2q+2
     173: q+2
     174: 3q+2
     175: q^2+q+2
     176: 3q+2
     177: q^2+2
     178: 3q+2
     179: q^2+q+2
     180: 3q+2
     181: q^2+2
     182: 3q+2
     183: q+2
     185: 2
     186: 1
     187: 1
     188: 1
     189: 1
     190: q+1
     191: q+1
     192: 2q+1
     193: 2q+1
     194: q+1
     195: q+1
     200: q+1
     201: q+1
     202: q+1
     203: q+1
     204: 2q+1
     205: 2q+1
     206: q+1
     207: q+1
     208: 1
     209: 1
     210: q+1
     211: q+1
     212: 1
     213: 1
     214: q+2
     215: q+2
     216: q+2
     217: 2q+2
     218: q+2
     219: 2q+2
     220: q+2
     221: 2
     222: q^2+2
     223: q+2
     225: 3q+2
     226: 2
     227: q^2+2
     228: q+2
     229: 3q+2
     231: q+2
     232: q+1
     233: q+1
     234: 1
     235: 1
     238: 1
     239: 1
     240: 2
     243: 2q+2
     244: 3q+2
     245: q+2
     247: 2
     248: q+1
     249: 1
     250: q+1
     251: 1
     252: q+1
     253: 1
     254: q+1
     255: 1
     256: 3q+2
     257: q+2
     259: 2
     260: 1
     261: 1
     262: 1
     263: 1
     264: 1
     265: 1
     266: q+1
     267: q+1
     268: 1
     269: 1
     270: q+1
     271: q+1
     280: 1
     281: 1
     282: 1
     283: 1
     286: q+1
     287: q+1
     296: q+2
     297: 2
     298: 2
     299: q+2
     300: 2
     301: q+1
     302: q+1
     303: 1
     304: 1
     307: 1
     308: 1
     309: 2
     310: 1
     311: 1
     314: q+1
     315: q+2
     317: 2
     318: 1
     319: 1
     320: q+1
     321: q+2
     325: q+1
     326: q+1
     327: 1
     328: 1
     331: 1
     332: 1
     333: 2
     334: 2
     335: q+2
     338: 3q+2
     339: q+2
     341: 2
     342: q+1
     343: 1
     345: 1
     350: 1
     351: 1
     354: 1
     355: 1
     356: 1
     357: 1
     358: 1
     359: 1
     360: 1
     361: 1
     378: 1
     379: 1
     380: 1
     381: 1
     382: 1
     383: 1
     390: 2
     391: 2
     392: 2
     393: 2
     394: q+1
     395: q+1
     396: 1
     397: 1
     400: 1
     401: 1
     402: q+2
     403: 1
     405: 1
     408: 1
     409: 1
     421: 2
     422: 1
     423: 1
     428: 2
     429: 2
     432: q+1
     433: 1
     435: 1
     444: 1
     445: 1
     448: 1
     449: 1
     450: 1
     451: 1
     452: 1
     453: 1
     478: 1
     479: 1
     489: 1
     490: 1
     491: 1
     492: 1
     497: 2
     498: 2
     507: 1
     508: 1
     511: 1
     516: 1
     521: 1
     525: 1
     526: 1
     539: 1
     540: 1
     541: 1
     542: 1
     597: 1
     598: 1
     611: 1
     612: 1
     682: 1

683:   0: 2q+2
       1: 2q^2+q+2
       2: 2q+2
       3: 2q+2
       4: 2
       5: 2q^2+q+2
       6: 2q^2+q+2
       7: 2q^2+2
       8: 2
       9: 2q^2+q+2
      10: 2q^2+2
      11: 2q^2+q+2
      12: 2
      13: 2q^2+q+2
      14: 2q^3+2q^2+q+1
      15: 2q^2+q+2
      16: 2q^2+q+2
      17: 2q^2+2
      18: 2q^2+q+2
      19: q+2
      20: q+2
      21: 2
      22: 2q^2+q+1
      23: 2q+2
      24: 2
      25: 2q^2+q+2
      26: 2q^2+q+2
      27: 2q+2
      28: 2q^2+q+2
      29: 2q^2+q+2
      30: 2
      31: 2
      32: q^2+2
      33: 2
      34: q^2+2
      35: 2
      36: q^2+2
      37: 2
      38: q^2+2
      39: 2q^2+q+2
      40: 2q^2+q+2
      41: q+2
      42: q^2+2
      43: 2
      44: 2
      45: q^2+2
      46: 2
      47: 2
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: q+2
      57: q+2
      58: 2
      59: 2q^2+q+1
      60: q+2
      61: 2
      62: q+2
      63: 2q^2+q+1
      64: 2q+2
      65: 2q^2+q+2
      66: 2
      67: 2q^2+q+2
      68: 2
      69: q^2+2
      70: 2
      71: q^2+2
      72: 2
      73: q^2+2
      74: 2
      75: q^2+2
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: 1
      82: q+1
      83: q+2
      84: q+2
      85: 2q^2+q+2
      86: 2
      87: 2
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 2
      97: 2
      98: q^2+2
      99: 2
     100: 2
     101: 2
     102: q^2+2
     103: 2
     104: q+2
     105: 2
     106: q+2
     107: 2q^2+q+1
     108: q+2
     109: q+2
     110: 2
     111: 2q^2+q+1
     112: 2
     113: q^2+2
     114: 2
     115: q^2+2
     116: 2
     117: q^2+2
     118: 2
     119: q^2+2
     120: 2
     121: 2
     123: 2
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 1
     134: q+1
     135: q+2
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: 1
     144: q+1
     145: q+2
     146: 2
     147: 2
     148: 2
     149: 2
     150: q^2+2
     152: 2
     153: 2
     154: 2
     155: 2
     156: q^2+2
     157: 2
     158: 2
     160: 2
     161: 2
     162: 1
     163: 1
     164: 1
     165: 1
     168: 1
     169: 1
     170: q+2
     171: q+2
     172: 2
     173: 2q^2+q+1
     174: 1
     175: 1
     176: 1
     177: q^2+1
     178: 1
     179: 1
     180: 1
     181: q^2+1
     182: 2
     183: 2
     185: 2
     186: 1
     187: 1
     188: 1
     189: 1
     190: 1
     191: 1
     192: 1
     193: 1
     194: 1
     195: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     214: q+1
     215: q+1
     216: q+2
     217: 2
     218: 2
     219: 2
     220: 2
     221: 2
     222: 1
     223: 1
     225: 1
     226: 2
     227: 1
     228: 1
     229: 1
     231: 2
     232: 1
     233: 1
     234: 1
     235: 1
     238: 1
     239: 1
     240: 2
     243: 2
     244: 2
     245: 2
     247: 2
     248: 1
     249: 1
     250: 1
     251: q^2+1
     252: 1
     253: 1
     254: 1
     255: q^2+1
     256: 1
     257: 1
     259: 1
     264: 1
     265: 1
     268: 1
     269: 1
     270: 1
     271: 1
     280: 1
     281: 1
     282: 1
     283: 1
     286: 1
     287: 1
     296: q+1
     297: 2
     298: 2
     299: 2
     300: 2
     301: 1
     302: 1
     303: 1
     304: 1
     307: 1
     308: 1
     309: 1
     310: 1
     311: 1
     314: 1
     315: 1
     317: 1
     318: 1
     319: 1
     320: 1
     321: 1
     333: 2
     334: 1
     335: 1
     338: 1
     339: 1
     341: 1
     342: 1
     343: 1
     345: 1
     356: 1
     357: 1
     358: 1
     359: 1
     360: 1
     361: 1
     382: 1
     383: 1
     390: 1
     391: 1
     392: 2
     393: 1
     402: 1
     403: 1
     405: 1
     408: 1
     409: 1
     421: 1
     422: 1
     423: 1
     428: 1
     429: 1
     431: 1
     432: 1
     433: 1
     435: 1
     450: 1
     451: 1
     488: 1
     497: 1
     498: 1
     507: 1
     508: 1
     511: 1
     516: 1
     521: 1
     525: 1
     526: 1
     528: 1
     595: 1
     596: 1
     597: 1
     598: 1
     683: 1

684:   0: 2q^2+6q+2
       1: 2q^2+6q+2
       2: 2q^2+6q+2
       3: q^2+3q+2
       4: 2q^2+6q+2
       5: q^3+q^2+3q+2
       6: q^2+3q+2
       7: 2q^2+6q+2
       8: 2q^2+6q+2
       9: q+2
      10: q^3+q^2+3q+2
      11: q^2+3q+2
      12: 2q^3+5q^2+5q+2
      13: q+2
      14: q+2
      15: q^2+3q+2
      16: q+2
      17: q^2+3q+2
      18: q+2
      19: 2q^2+6q+2
      20: q^2+3q+2
      21: 2q^2+6q+2
      22: q+2
      23: 2q^2+6q+2
      24: 2q^2+6q+2
      25: q^2+3q+2
      26: q+2
      27: 3q+2
      28: 3q+2
      29: q+2
      30: 2q^2+5q+2
      31: 2q^2+6q+2
      32: 2q^2+6q+2
      33: 2q^2+6q+2
      34: q^3+q^2+3q+2
      35: 4q+2
      36: 4q+2
      37: 4q+2
      38: 2q+2
      39: q+2
      40: q+2
      41: 3q+2
      42: q^2+3q+2
      43: 2q^2+6q+2
      44: 2q^2+6q+2
      45: 2q+2
      46: 4q+2
      47: 4q+2
      48: 2q+1
      49: 2q+1
      50: 2q+1
      51: 2q+1
      52: 2q+1
      53: 2q+1
      54: q+1
      55: q+1
      56: q^2+3q+2
      57: q+2
      58: q^2+3q+2
      59: q+2
      60: 2q^2+6q+2
      61: 2q^2+6q+2
      62: q^2+3q+2
      63: q+2
      64: 3q+2
      65: 3q+2
      66: 2q^2+5q+2
      67: q+2
      68: 3q+2
      69: 3q+2
      70: 2q^2+5q+2
      71: q+2
      72: q+2
      73: q+2
      74: 3q+2
      75: 2
      76: q+1
      77: q+1
      78: 2q+1
      79: 2q+1
      80: 2q+1
      81: 2q+1
      82: q+2
      83: 3q+2
      84: q+2
      85: q+2
      86: q+2
      87: 2q+2
      88: 1
      89: 1
      90: 1
      91: 1
      92: q+1
      93: q+1
      94: 1
      95: 1
      96: q^2+3q+2
      97: 2q^2+6q+2
      98: q+2
      99: 3q+2
     100: 2q+2
     101: 4q+2
     102: 2
     103: q+2
     104: q^2+3q+2
     105: q^2+3q+2
     106: q+2
     107: q+2
     108: 3q+2
     109: 3q+2
     110: 2q^2+5q+2
     111: q+2
     112: 3q+2
     113: 3q+2
     114: 2q^2+5q+2
     115: q+2
     116: q+2
     117: q+2
     118: 3q+2
     119: 2
     120: q+2
     121: q+2
     122: 3q+2
     123: 2
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: q+1
     131: q+1
     132: 2q+1
     133: 2q+1
     134: q+2
     135: q+2
     136: 1
     137: 1
     138: 1
     139: 1
     140: q+1
     141: q+1
     142: 1
     143: 1
     144: q+2
     145: 3q+2
     146: q+2
     147: 2q+2
     148: q^2+3q+2
     149: 3q+2
     150: q+2
     151: q+2
     152: q+2
     153: 2q+2
     154: 2q+2
     155: q+2
     156: 2
     157: 2
     158: q+2
     160: 2
     161: q+2
     162: 1
     163: 1
     164: 1
     165: 1
     166: q+1
     167: q+1
     168: 1
     169: 1
     170: 2
     171: 2
     172: q^2+2q+2
     173: 2
     174: 3q+2
     175: 3q+2
     176: 2q^2+5q+2
     177: q+2
     178: q+2
     179: q+2
     180: 3q+2
     181: 2
     182: q+2
     183: q+2
     184: 3q+2
     185: 2
     186: 1
     187: 1
     188: 1
     189: 1
     190: 1
     191: 1
     192: 1
     193: 1
     194: 1
     195: 1
     196: 1
     197: 1
     200: q+1
     201: q+1
     202: 1
     203: 1
     204: 1
     205: 1
     206: 1
     207: 1
     208: 1
     209: 1
     210: q+1
     211: q+1
     212: 1
     213: 1
     214: q+2
     215: 2
     216: 2
     217: 2
     218: q+2
     219: 2
     220: 2q+2
     221: q+2
     222: q+2
     223: 3q+2
     224: q+2
     225: 2q+2
     226: 2
     227: 2
     228: q+2
     229: q+2
     231: q+2
     232: 1
     233: 1
     234: 1
     235: 1
     236: q+1
     237: q+1
     238: 1
     239: 1
     240: 2
     241: q+2
     243: 2
     244: 2
     246: 2
     248: 2
     249: 2
     250: q^2+2q+2
     251: 2
     252: 1
     253: 1
     254: q+1
     255: 1
     256: q+2
     257: q+2
     258: 3q+2
     259: 2
     260: 1
     261: 1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     267: 1
     268: 1
     269: 1
     270: 1
     271: 1
     272: 1
     273: 1
     274: 1
     275: 1
     280: 1
     281: 1
     282: 1
     283: 1
     286: 1
     287: 1
     296: 2
     297: 2
     298: 2
     301: 1
     302: 1
     305: 1
     306: 1
     309: q+2
     310: 2
     311: 2
     312: 2
     313: q+2
     314: 2
     315: 2q+2
     316: 2
     317: 2
     318: 1
     319: 1
     320: 1
     321: q+2
     325: 1
     326: 1
     327: 1
     328: 1
     329: q+1
     330: q+1
     331: 1
     332: 1
     333: 2
     334: 2
     335: q+2
     336: q+2
     338: 2
     340: 2
     342: 1
     343: 1
     344: q+1
     345: 1
     350: 1
     351: 1
     354: 1
     355: 1
     356: 1
     357: 1
     362: 1
     363: 1
     364: 1
     365: 1
     366: 1
     367: 1
     368: 1
     369: 1
     378: 1
     379: 1
     380: 1
     381: 1
     382: 1
     383: 1
     390: 2
     391: 2
     394: 1
     395: 1
     398: 1
     399: 1
     403: 2
     404: 2
     405: 2
     407: 2
     408: 1
     409: 1
     421: 2
     422: 1
     423: 1
     424: 1
     425: q+2
     428: 2
     430: 2
     432: 1
     434: 1
     444: 1
     445: 1
     454: 1
     455: 1
     456: 1
     457: 1
     462: 1
     463: 1
     478: 1
     479: 1
     489: 1
     490: 1
     493: 1
     494: 1
     509: 2
     510: 2
     511: 2
     513: 1
     516: 1
     521: 1
     522: 1
     525: 1
     527: 1
     549: 1
     550: 1
     551: 1
     552: 1
     599: 1
     607: 1
     611: 1
     613: 1
     684: 1

685:   0: 2q+2
       1: q^3+q^2+q+2
       2: 2q+2
       3: 2q+2
       4: 2q+2
       5: q^3+q^2+2
       6: q^3+q^2+q+2
       7: q^3+q^2+q+2
       8: 2q+2
       9: q^3+q^2+2
      10: q^3+q^2+2
      11: q^3+q^2+q+2
      12: 2q+2
      13: q^3+q^2+2
      14: q^3+q^2+1
      15: q^2+2
      16: q^2+2
      17: q^2+2
      18: q^2+2
      19: q+2
      20: q+2
      21: q+2
      22: q^2+1
      23: 2q+2
      24: 2q+2
      25: q^3+q^2+q+2
      26: q^3+q^2+2
      27: 2q+2
      28: q^3+q^2+q+2
      29: q^3+q^2+2
      30: 2q+2
      31: 2q+2
      32: q^3+q^2+q+2
      33: 2q+2
      34: q^3+q^2+2
      35: 2
      36: 2
      37: 2
      38: 2
      39: q^2+2
      40: q^2+2
      41: q+2
      42: q^2+2
      43: q+2
      44: 2q+2
      45: 2
      46: 2
      47: 2
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 2
      57: 2
      58: 2
      59: q^2+1
      60: q+2
      61: q+2
      62: q+2
      63: q^2+1
      64: 2q+2
      65: q^3+q^2+q+2
      66: 2q+2
      67: q^3+q^2+2
      68: 2q+2
      69: q^3+q^2+q+2
      70: 2q+2
      71: q^3+q^2+2
      72: 2
      73: 2
      74: 2
      75: 2
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: 1
      82: 1
      83: q+2
      84: 2
      85: q^2+2
      86: 2
      87: 2q+2
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 2
      97: q+2
      98: q^2+2
      99: q+2
     100: 2
     101: 2
     102: 2
     103: 2
     104: 2
     105: 2
     106: 2
     107: q^2+1
     108: q+2
     109: q+2
     110: q+2
     111: q^2+1
     112: 2q+2
     113: q^3+q^2+q+2
     114: 2q+2
     115: q^3+q^2+2
     116: 2
     117: 2
     118: 2
     119: 2
     120: 2
     121: 2
     122: 2
     123: 2
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 1
     134: 1
     135: 2
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: 1
     144: 1
     145: q+2
     146: 2
     147: q+2
     148: 2
     149: q+2
     150: q^2+2
     151: 2
     152: 2
     153: 2q+2
     154: 2
     155: 2
     156: 2
     157: 2
     158: 2
     160: 2
     161: 2
     162: 1
     163: 1
     164: 1
     165: 1
     166: 1
     167: 1
     168: 1
     169: 1
     170: 2
     171: 2
     172: 2
     173: q^2+1
     174: q+2
     175: q+2
     176: q+2
     177: q^2+1
     178: 1
     179: 1
     180: 1
     181: 1
     182: 2
     183: 2
     184: 2
     185: 2
     186: 1
     187: 1
     188: 1
     189: 1
     190: 1
     191: 1
     192: 1
     193: 1
     194: 1
     195: 1
     196: 1
     197: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     214: 1
     215: 1
     216: 2
     217: 2
     218: 2
     219: 2
     220: q+2
     221: 2
     222: 1
     223: q+2
     224: 2
     225: q+2
     226: 2
     227: 1
     228: 1
     229: 1
     231: 2
     232: 1
     233: 1
     234: 1
     235: 1
     236: 1
     237: 1
     238: 1
     239: 1
     240: 2
     241: 2
     243: 2
     244: 2
     245: 2
     246: 2
     247: 2
     248: 2
     249: 2
     250: 2
     251: q^2+1
     256: 1
     257: 1
     258: 1
     259: 1
     264: 1
     265: 1
     268: 1
     269: 1
     270: 1
     271: 1
     272: 1
     273: 1
     274: 1
     275: 1
     280: 1
     281: 1
     282: 1
     283: 1
     286: 1
     287: 1
     296: 1
     297: 2
     298: 2
     299: 2
     300: 2
     301: 1
     302: 1
     303: 1
     304: 1
     305: 1
     306: 1
     307: 1
     308: 1
     309: 1
     310: 1
     311: 2
     312: 2
     313: 2
     314: 2
     315: q+2
     316: 2
     317: 1
     321: 1
     333: 2
     334: 1
     335: 1
     336: 1
     338: 1
     339: 1
     340: 1
     341: 1
     356: 1
     357: 1
     358: 1
     359: 1
     360: 1
     361: 1
     362: 1
     363: 1
     366: 1
     367: 1
     368: 1
     369: 1
     382: 1
     383: 1
     390: 1
     391: 1
     392: 2
     393: 1
     402: 1
     403: 1
     404: 2
     405: 2
     406: 2
     407: 1
     421: 1
     425: 1
     428: 1
     429: 1
     430: 1
     431: 1
     450: 1
     451: 1
     456: 1
     457: 1
     460: 1
     461: 1
     488: 1
     497: 1
     498: 1
     509: 1
     510: 1
     511: 1
     512: 2
     514: 1
     557: 1
     558: 1
     596: 1
     600: 1
     601: 1
     685: 1

686:   0: 2q^2+4q+2
       1: q^2+q+2
       2: 2q^2+4q+2
       3: 2q^2+4q+2
       4: 2q^2+4q+2
       5: q^2+q+2
       6: q^2+q+2
       7: q^2+q+2
       8: 2q^2+4q+2
       9: q^2+q+2
      10: q^2+q+2
      11: q^2+q+2
      12: 2q^2+4q+2
      13: q^2+q+2
      15: q^2+q+2
      16: q^2+q+2
      17: q^2+q+2
      18: q^2+q+2
      19: q+2
      20: q+2
      21: q+2
      23: 2q^2+4q+2
      24: 2q^2+4q+2
      25: q^2+q+2
      26: q^2+q+2
      27: 2q^2+4q+2
      28: q^2+q+2
      29: q^2+q+2
      30: 2q^2+4q+2
      31: 2q^2+4q+2
      32: q^2+q+2
      33: 2q^2+4q+2
      34: q^2+q+2
      35: 2q+2
      36: 2
      37: 2q+2
      38: 2
      39: q^2+q+2
      40: q^2+q+2
      41: q+2
      42: q^2+q+2
      43: q+2
      44: 2q^2+4q+2
      45: 2
      46: 2
      47: 2q+2
      48: q+1
      49: q+1
      50: 1
      51: 1
      52: q+1
      53: q+1
      54: 1
      55: 1
      56: q+2
      57: q+2
      58: q+2
      60: q+2
      61: q+2
      62: q+2
      64: 2q^2+4q+2
      65: q^2+q+2
      66: 2q^2+4q+2
      67: q^2+q+2
      68: 2q^2+4q+2
      69: q^2+q+2
      70: 2q^2+4q+2
      71: q^2+q+2
      72: 2q+2
      73: 2
      74: 2q+2
      75: 2
      76: 1
      77: 1
      78: 1
      79: 1
      80: q+1
      81: q+1
      83: q+2
      84: q+2
      85: q^2+q+2
      86: 2q+2
      87: 2q^2+4q+2
      88: q+1
      89: q+1
      90: 1
      91: 1
      92: q+1
      93: q+1
      94: 1
      95: 1
      96: q+2
      97: q+2
      98: q^2+q+2
      99: q+2
     100: 2
     101: 2
     102: 2
     103: 2
     104: q+2
     105: q+2
     106: q+2
     108: q+2
     109: q+2
     110: q+2
     112: 2q^2+4q+2
     113: q^2+q+2
     114: 2q^2+4q+2
     115: q^2+q+2
     116: 2q+2
     117: 2
     118: 2q+2
     119: 2
     120: 2q+2
     121: 2
     122: 2q+2
     123: 2
     124: q+1
     125: q+1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 1
     135: q+2
     136: q+1
     137: q+1
     138: 1
     139: 1
     140: q+1
     141: q+1
     142: 1
     143: 1
     145: q+2
     146: 2
     147: q+2
     148: q+2
     149: q+2
     150: q^2+q+2
     151: 2q+2
     152: q+2
     153: 2q^2+4q+2
     154: 2
     155: 2
     156: 2
     157: 2
     158: 2q+2
     160: 2
     161: 2
     162: q+1
     163: q+1
     164: 1
     165: 1
     166: q+1
     167: q+1
     168: 1
     169: 1
     170: q+2
     171: q+2
     172: q+2
     174: q+2
     175: q+2
     176: q+2
     178: 1
     179: 1
     180: 1
     182: 2q+2
     183: 2
     184: 2q+2
     185: 2
     186: 1
     187: 1
     188: 1
     189: 1
     190: q+1
     191: q+1
     192: 1
     193: 1
     194: 1
     195: 1
     196: q+1
     197: q+1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     216: q+2
     217: 2
     218: 2
     219: q+2
     220: q+2
     221: q+2
     223: q+2
     224: 2
     225: q+2
     226: 2
     228: 1
     229: 1
     231: 2
     232: q+1
     233: q+1
     234: 1
     235: 1
     236: q+1
     237: q+1
     238: 1
     239: 1
     240: 2
     241: 2q+2
     243: 2
     244: 2q+2
     245: 2
     246: 2q+2
     247: 2
     248: q+2
     249: q+2
     250: q+2
     252: 1
     253: 1
     254: 1
     256: 1
     257: 1
     258: 1
     264: 1
     265: 1
     268: 1
     269: 1
     270: 1
     271: 1
     272: q+1
     273: q+1
     274: 1
     275: 1
     280: 1
     281: 1
     282: 1
     283: 1
     286: 1
     287: 1
     297: 2
     298: q+2
     299: 2
     300: 2
     301: q+1
     302: q+1
     303: 1
     304: 1
     305: q+1
     306: q+1
     307: 1
     308: 1
     311: q+2
     312: 2
     313: 2
     314: q+2
     315: q+2
     316: 2q+2
     319: 1
     320: 1
     321: 1
     333: 2
     335: 1
     336: 1
     338: 1
     339: 1
     340: 1
     342: 1
     343: 1
     344: 1
     356: 1
     357: 1
     358: 1
     359: 1
     360: 1
     361: 1
     362: 1
     363: 1
     366: 1
     367: 1
     368: q+1
     369: q+1
     382: 1
     383: 1
     392: 2
     402: 1
     404: 2
     405: q+2
     406: 2
     407: 1
     409: 1
     423: 1
     424: 1
     425: 1
     428: 1
     429: 1
     430: 1
     432: 1
     433: 1
     434: 1
     450: 1
     451: 1
     456: 1
     457: 1
     460: 1
     461: 1
     497: 1
     508: 1
     509: 1
     512: 2
     513: 1
     514: 1
     522: 1
     525: 1
     526: 1
     527: 1
     557: 1
     558: 1
     597: 1
     599: 1
     600: 1
     602: 1
     686: 1

687:   0: q+2
       1: q+2
       2: q+2
       3: q+2
       4: q+2
       5: q+2
       6: q+2
       7: q+2
       8: q+2
       9: q+2
      10: q+2
      11: q^2+q+1
      12: q+2
      13: q^2+q+1
      14: q^2+q+1
      15: q+2
      16: q+2
      17: q+2
      18: q^2+q+1
      19: q+2
      20: q+2
      21: q+2
      22: q^2+q+1
      23: 2
      24: 2
      25: q+1
      26: q+1
      27: q+2
      28: q+2
      29: q+2
      30: q+2
      31: q+2
      32: q+2
      33: q+2
      34: q+2
      35: 2
      36: 2
      37: 2
      38: 2
      39: q+1
      40: q+2
      41: q+2
      42: q+2
      43: q+2
      44: 2
      45: 2
      46: 2
      47: 2
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: q+2
      57: q+2
      58: q+2
      59: q^2+q+1
      60: 2
      61: 2
      62: q+1
      63: q+1
      64: 2
      65: q+1
      66: 2
      67: q+1
      68: q+2
      69: q+2
      70: q+2
      71: q+2
      72: 2
      73: 2
      74: 2
      75: 2
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: 1
      82: q+1
      83: 1
      84: q+2
      85: q+1
      86: 2
      87: 2
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: q+2
      97: 2
      98: q+2
      99: q+2
     100: 2
     101: 2
     102: 2
     103: 2
     104: 2
     105: 2
     106: q+1
     107: q+1
     108: 2
     109: q+1
     110: 2
     111: q+1
     112: 2
     113: q+1
     114: 2
     115: q+1
     116: 1
     117: 1
     118: 1
     119: 1
     120: 2
     121: 2
     122: 2
     123: 2
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 1
     134: q+1
     135: 1
     144: q+1
     145: 1
     146: 2
     147: 2
     148: 2
     149: 1
     150: q+1
     151: 2
     152: q+2
     153: 2
     154: 2
     155: 1
     156: 1
     157: 2
     158: 1
     160: 2
     161: 2
     162: 1
     163: 1
     164: 1
     165: 1
     166: 1
     167: 1
     168: 1
     169: 1
     170: 2
     171: q+1
     172: 2
     173: q+1
     174: 2
     175: q+1
     176: 2
     177: q+1
     178: 1
     179: 1
     180: 1
     181: 1
     182: 1
     183: 1
     184: 1
     185: 1
     192: 1
     193: 1
     194: 1
     195: 1
     196: 1
     197: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     214: 1
     215: q+1
     216: 1
     217: 2
     218: 1
     219: 2
     220: 1
     221: 1
     222: q+1
     223: 1
     224: 2
     225: 2
     226: 1
     227: 1
     228: 1
     229: 1
     231: 1
     240: 1
     241: 1
     243: 2
     244: 1
     245: 1
     246: 1
     247: 1
     248: 2
     249: q+1
     250: 2
     251: q+1
     252: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     258: 1
     259: 1
     270: 1
     271: 1
     274: 1
     275: 1
     286: 1
     287: 1
     296: 1
     297: 1
     298: 1
     299: 1
     300: 1
     309: 1
     310: q+1
     311: 1
     312: 2
     313: 1
     314: 2
     315: 1
     316: 1
     317: 1
     318: 1
     319: 1
     320: 1
     321: 1
     333: 1
     334: 1
     335: 1
     336: 1
     338: 1
     339: 1
     340: 1
     341: 1
     342: 1
     343: 1
     344: 1
     345: 1
     366: 1
     367: 1
     390: 1
     391: 1
     392: 1
     393: 1
     402: 1
     403: 1
     404: 1
     405: 1
     406: 1
     407: 1
     408: 1
     409: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     432: 1
     433: 1
     434: 1
     435: 1
     498: 1
     507: 1
     508: 1
     510: 1
     511: 1
     512: 1
     513: 1
     514: 1
     516: 1
     521: 1
     522: 1
     598: 1
     601: 1
     602: 1
     607: 1
     687: 1

688:   0: 2q^2+6q+2
       1: 2q^2+6q+2
       2: 2q^2+6q+2
       3: q^2+3q+2
       4: 2q^2+6q+2
       5: q^3+q^2+3q+2
       6: q^2+3q+2
       7: 2q^2+6q+2
       8: 2q^2+6q+2
       9: q+2
      10: q^3+q^2+3q+2
      11: q^2+3q+2
      12: 2q^3+5q^2+5q+2
      13: q+2
      14: q+2
      15: q^2+3q+2
      16: q+2
      17: q^2+3q+2
      18: q+2
      19: 2q^2+6q+2
      20: q^2+3q+2
      21: 2q^2+6q+2
      22: q+2
      23: 2q^2+6q+2
      24: 2q^2+6q+2
      25: q^2+3q+2
      26: q+2
      27: 3q+2
      28: 3q+2
      29: q+2
      30: 2q^2+5q+2
      31: 4q+2
      32: 4q+2
      33: 4q+2
      34: 2q+2
      35: 2q^2+6q+2
      36: 2q^2+6q+2
      37: 2q^2+6q+2
      38: q^3+q^2+3q+2
      39: q+2
      40: q+2
      41: 3q+2
      42: 2q+2
      43: 4q+2
      44: 4q+2
      45: q^2+3q+2
      46: 2q^2+6q+2
      47: 2q^2+6q+2
      48: 2q+1
      49: 2q+1
      50: 2q+1
      51: 2q+1
      52: 2q+1
      53: 2q+1
      54: q+1
      55: q+1
      56: q^2+3q+2
      57: q+2
      58: q^2+3q+2
      59: q+2
      60: 2q^2+6q+2
      61: 2q^2+6q+2
      62: q^2+3q+2
      63: q+2
      64: 3q+2
      65: 3q+2
      66: 2q^2+5q+2
      67: q+2
      68: q+2
      69: q+2
      70: 3q+2
      71: 2
      72: 3q+2
      73: 3q+2
      74: 2q^2+5q+2
      75: q+2
      76: q+1
      77: q+1
      78: 2q+1
      79: 2q+1
      80: 2q+1
      81: 2q+1
      82: q+2
      83: 3q+2
      84: q+2
      85: q+2
      86: 2q+2
      87: q+2
      88: 1
      89: 1
      90: 1
      91: 1
      92: q+1
      93: q+1
      94: 1
      95: 1
      96: 2q+2
      97: 4q+2
      98: 2
      99: q+2
     100: q^2+3q+2
     101: 2q^2+6q+2
     102: q+2
     103: 3q+2
     104: q^2+3q+2
     105: q^2+3q+2
     106: q+2
     107: q+2
     108: 3q+2
     109: 3q+2
     110: 2q^2+5q+2
     111: q+2
     112: q+2
     113: q+2
     114: 3q+2
     115: 2
     116: 3q+2
     117: 3q+2
     118: 2q^2+5q+2
     119: q+2
     120: q+2
     121: q+2
     122: 3q+2
     123: 2
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: q+1
     131: q+1
     132: 2q+1
     133: 2q+1
     134: q+2
     135: q+2
     136: 1
     137: 1
     138: 1
     139: 1
     140: q+1
     141: q+1
     142: 1
     143: 1
     144: q+2
     145: 3q+2
     146: 2q+2
     147: q+2
     148: 2q+2
     149: q+2
     150: 2
     152: 2
     153: q+2
     154: q^2+3q+2
     155: 3q+2
     156: q+2
     157: q+2
     158: 2q+2
     159: q+2
     160: 2
     161: q+2
     162: 1
     163: 1
     164: 1
     165: 1
     166: q+1
     167: q+1
     168: 1
     169: 1
     170: 2
     171: 2
     172: q^2+2q+2
     173: 2
     174: q+2
     175: q+2
     176: 3q+2
     177: 2
     178: 3q+2
     179: 3q+2
     180: 2q^2+5q+2
     181: q+2
     182: q+2
     183: q+2
     184: 3q+2
     185: 2
     186: 1
     187: 1
     188: 1
     189: 1
     190: 1
     191: 1
     192: 1
     193: 1
     194: 1
     195: 1
     198: 1
     199: 1
     200: q+1
     201: q+1
     202: 1
     203: 1
     204: 1
     205: 1
     206: 1
     207: 1
     208: 1
     209: 1
     210: q+1
     211: q+1
     212: 1
     213: 1
     214: q+2
     215: 2
     216: 2
     217: 2
     218: 2q+2
     219: 2
     220: q+2
     221: 2
     222: 2
     223: q+2
     225: q+2
     226: q+2
     227: q+2
     228: 3q+2
     229: 2q+2
     230: q+2
     231: q+2
     232: 1
     233: 1
     234: 1
     235: 1
     236: q+1
     237: q+1
     238: 1
     239: 1
     240: 2
     242: q+2
     243: 2
     244: 2
     246: 2
     248: 1
     249: 1
     250: q+1
     251: 1
     252: 2
     253: 2
     254: q^2+2q+2
     255: 2
     256: q+2
     257: q+2
     258: 3q+2
     259: 2
     260: 1
     261: 1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     267: 1
     268: 1
     269: 1
     270: 1
     271: 1
     276: 1
     277: 1
     278: 1
     279: 1
     280: 1
     281: 1
     282: 1
     283: 1
     286: 1
     287: 1
     296: 2
     297: 2
     298: 2
     301: 1
     302: 1
     305: 1
     306: 1
     309: 2
     310: 1
     311: 1
     314: 1
     315: q+2
     317: q+2
     318: 2
     319: 2
     320: 2
     321: 2q+2
     322: 2
     323: q+2
     324: 2
     325: 1
     326: 1
     327: 1
     328: 1
     329: q+1
     330: q+1
     331: 1
     332: 1
     333: 2
     334: 2
     335: q+2
     337: q+2
     338: 2
     340: 2
     342: 1
     343: 1
     344: q+1
     345: 1
     350: 1
     351: 1
     354: 1
     355: 1
     356: 1
     357: 1
     370: 1
     371: 1
     372: 1
     373: 1
     374: 1
     375: 1
     376: 1
     377: 1
     378: 1
     379: 1
     380: 1
     381: 1
     382: 1
     383: 1
     390: 2
     391: 2
     394: 1
     395: 1
     398: 1
     399: 1
     403: 1
     405: 1
     408: 2
     409: 2
     410: 2
     412: 2
     421: 2
     422: 1
     423: 1
     426: 1
     427: q+2
     428: 2
     430: 2
     432: 1
     434: 1
     444: 1
     445: 1
     464: 1
     465: 1
     466: 1
     467: 1
     472: 1
     473: 1
     478: 1
     479: 1
     489: 1
     490: 1
     493: 1
     494: 1
     511: 1
     515: 2
     516: 2
     517: 2
     519: 1
     521: 1
     523: 1
     525: 1
     527: 1
     561: 1
     562: 1
     563: 1
     564: 1
     603: 1
     608: 1
     611: 1
     613: 1
     688: 1

689:   0: 2q+2
       1: q^3+q^2+q+2
       2: 2q+2
       3: 2q+2
       4: 2q+2
       5: q^3+q^2+2
       6: q^3+q^2+q+2
       7: q^3+q^2+q+2
       8: 2q+2
       9: q^3+q^2+2
      10: q^3+q^2+2
      11: q^3+q^2+q+2
      12: 2q+2
      13: q^3+q^2+2
      14: q^3+q^2+1
      15: q^2+2
      16: q^2+2
      17: q^2+2
      18: q^2+2
      19: q+2
      20: q+2
      21: q+2
      22: q^2+1
      23: 2q+2
      24: 2q+2
      25: q^3+q^2+q+2
      26: q^3+q^2+2
      27: 2q+2
      28: q^3+q^2+q+2
      29: q^3+q^2+2
      30: 2q+2
      31: 2
      32: 2
      33: 2
      34: 2
      35: 2q+2
      36: q^3+q^2+q+2
      37: 2q+2
      38: q^3+q^2+2
      39: q^2+2
      40: q^2+2
      41: q+2
      42: 2
      43: 2
      44: 2
      45: q^2+2
      46: q+2
      47: 2q+2
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 2
      57: 2
      58: 2
      59: q^2+1
      60: q+2
      61: q+2
      62: q+2
      63: q^2+1
      64: 2q+2
      65: q^3+q^2+q+2
      66: 2q+2
      67: q^3+q^2+2
      68: 2
      69: 2
      70: 2
      71: 2
      72: 2q+2
      73: q^3+q^2+q+2
      74: 2q+2
      75: q^3+q^2+2
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: 1
      82: 1
      83: q+2
      84: 2
      85: q^2+2
      86: 2q+2
      87: 2
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 2
      97: 2
      98: 2
      99: 2
     100: 2
     101: q+2
     102: q^2+2
     103: q+2
     104: 2
     105: 2
     106: 2
     107: q^2+1
     108: q+2
     109: q+2
     110: q+2
     111: q^2+1
     112: 2
     113: 2
     114: 2
     115: 2
     116: 2q+2
     117: q^3+q^2+q+2
     118: 2q+2
     119: q^3+q^2+2
     120: 2
     121: 2
     122: 2
     123: 2
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 1
     134: 1
     135: 2
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: 1
     144: 1
     145: q+2
     146: q+2
     147: 2
     148: 2
     149: 2
     150: 2
     152: 2
     153: 2
     154: 2
     155: q+2
     156: q^2+2
     157: 2
     158: 2q+2
     159: 2
     160: 2
     161: 2
     162: 1
     163: 1
     164: 1
     165: 1
     166: 1
     167: 1
     168: 1
     169: 1
     170: 2
     171: 2
     172: 2
     173: q^2+1
     174: 1
     175: 1
     176: 1
     177: 1
     178: q+2
     179: q+2
     180: q+2
     181: q^2+1
     182: 2
     183: 2
     184: 2
     185: 2
     186: 1
     187: 1
     188: 1
     189: 1
     190: 1
     191: 1
     192: 1
     193: 1
     194: 1
     195: 1
     198: 1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     214: 1
     215: 1
     216: 2
     217: 2
     218: q+2
     219: 2
     220: 2
     221: 2
     222: 1
     223: 1
     225: 1
     226: 2
     227: 1
     228: q+2
     229: q+2
     230: 2
     231: 2
     232: 1
     233: 1
     234: 1
     235: 1
     236: 1
     237: 1
     238: 1
     239: 1
     240: 2
     242: 2
     243: 2
     244: 2
     245: 2
     246: 2
     247: 2
     252: 2
     253: 2
     254: 2
     255: q^2+1
     256: 1
     257: 1
     258: 1
     259: 1
     264: 1
     265: 1
     268: 1
     269: 1
     270: 1
     271: 1
     276: 1
     277: 1
     278: 1
     279: 1
     280: 1
     281: 1
     282: 1
     283: 1
     286: 1
     287: 1
     296: 1
     297: 2
     298: 2
     299: 2
     300: 2
     301: 1
     302: 1
     303: 1
     304: 1
     305: 1
     306: 1
     307: 1
     308: 1
     309: 1
     315: 1
     317: 1
     318: 1
     319: 2
     320: 2
     321: q+2
     322: 2
     323: 2
     324: 2
     333: 2
     334: 1
     335: 1
     337: 1
     338: 1
     339: 1
     340: 1
     341: 1
     356: 1
     357: 1
     358: 1
     359: 1
     360: 1
     361: 1
     370: 1
     371: 1
     374: 1
     375: 1
     376: 1
     377: 1
     382: 1
     383: 1
     390: 1
     391: 1
     392: 2
     393: 1
     402: 1
     408: 1
     409: 2
     410: 2
     411: 2
     412: 1
     421: 1
     427: 1
     428: 1
     429: 1
     430: 1
     431: 1
     450: 1
     451: 1
     466: 1
     467: 1
     470: 1
     471: 1
     488: 1
     497: 1
     498: 1
     515: 1
     516: 1
     517: 1
     518: 2
     520: 1
     569: 1
     570: 1
     596: 1
     604: 1
     605: 1
     689: 1

690:   0: 2q^2+4q+2
       1: q^2+q+2
       2: 2q^2+4q+2
       3: 2q^2+4q+2
       4: 2q^2+4q+2
       5: q^2+q+2
       6: q^2+q+2
       7: q^2+q+2
       8: 2q^2+4q+2
       9: q^2+q+2
      10: q^2+q+2
      11: q^2+q+2
      12: 2q^2+4q+2
      13: q^2+q+2
      15: q^2+q+2
      16: q^2+q+2
      17: q^2+q+2
      18: q^2+q+2
      19: q+2
      20: q+2
      21: q+2
      23: 2q^2+4q+2
      24: 2q^2+4q+2
      25: q^2+q+2
      26: q^2+q+2
      27: 2q^2+4q+2
      28: q^2+q+2
      29: q^2+q+2
      30: 2q^2+4q+2
      31: 2q+2
      32: 2
      33: 2q+2
      34: 2
      35: 2q^2+4q+2
      36: q^2+q+2
      37: 2q^2+4q+2
      38: q^2+q+2
      39: q^2+q+2
      40: q^2+q+2
      41: q+2
      42: 2
      43: 2
      44: 2q+2
      45: q^2+q+2
      46: q+2
      47: 2q^2+4q+2
      48: q+1
      49: q+1
      50: 1
      51: 1
      52: q+1
      53: q+1
      54: 1
      55: 1
      56: q+2
      57: q+2
      58: q+2
      60: q+2
      61: q+2
      62: q+2
      64: 2q^2+4q+2
      65: q^2+q+2
      66: 2q^2+4q+2
      67: q^2+q+2
      68: 2q+2
      69: 2
      70: 2q+2
      71: 2
      72: 2q^2+4q+2
      73: q^2+q+2
      74: 2q^2+4q+2
      75: q^2+q+2
      76: 1
      77: 1
      78: 1
      79: 1
      80: q+1
      81: q+1
      83: q+2
      84: q+2
      85: q^2+q+2
      86: 2q^2+4q+2
      87: 2q+2
      88: q+1
      89: q+1
      90: 1
      91: 1
      92: q+1
      93: q+1
      94: 1
      95: 1
      96: 2
      97: 2
      98: 2
      99: 2
     100: q+2
     101: q+2
     102: q^2+q+2
     103: q+2
     104: q+2
     105: q+2
     106: q+2
     108: q+2
     109: q+2
     110: q+2
     112: 2q+2
     113: 2
     114: 2q+2
     115: 2
     116: 2q^2+4q+2
     117: q^2+q+2
     118: 2q^2+4q+2
     119: q^2+q+2
     120: 2q+2
     121: 2
     122: 2q+2
     123: 2
     124: q+1
     125: q+1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 1
     135: q+2
     136: q+1
     137: q+1
     138: 1
     139: 1
     140: q+1
     141: q+1
     142: 1
     143: 1
     145: q+2
     146: q+2
     147: 2
     148: 2
     149: 2
     150: 2
     152: 2
     153: 2q+2
     154: q+2
     155: q+2
     156: q^2+q+2
     157: q+2
     158: 2q^2+4q+2
     159: 2q+2
     160: 2
     161: 2
     162: q+1
     163: q+1
     164: 1
     165: 1
     166: q+1
     167: q+1
     168: 1
     169: 1
     170: q+2
     171: q+2
     172: q+2
     174: 1
     175: 1
     176: 1
     178: q+2
     179: q+2
     180: q+2
     182: 2q+2
     183: 2
     184: 2q+2
     185: 2
     186: 1
     187: 1
     188: 1
     189: 1
     190: q+1
     191: q+1
     192: 1
     193: 1
     194: 1
     195: 1
     198: q+1
     199: q+1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     216: q+2
     217: q+2
     218: q+2
     219: 2
     220: 2
     221: 2
     223: 1
     225: 1
     226: q+2
     228: q+2
     229: q+2
     230: 2
     231: 2
     232: q+1
     233: q+1
     234: 1
     235: 1
     236: q+1
     237: q+1
     238: 1
     239: 1
     240: 2
     242: 2q+2
     243: 2
     244: 2q+2
     245: 2
     246: 2q+2
     247: 2
     248: 1
     249: 1
     250: 1
     252: q+2
     253: q+2
     254: q+2
     256: 1
     257: 1
     258: 1
     264: 1
     265: 1
     268: 1
     269: 1
     270: 1
     271: 1
     276: q+1
     277: q+1
     278: 1
     279: 1
     280: 1
     281: 1
     282: 1
     283: 1
     286: 1
     287: 1
     297: q+2
     298: 2
     299: 2
     300: 2
     301: q+1
     302: q+1
     303: 1
     304: 1
     305: q+1
     306: q+1
     307: 1
     308: 1
     311: 1
     314: 1
     315: 1
     319: q+2
     320: q+2
     321: q+2
     322: 2
     323: 2
     324: 2q+2
     333: 2
     335: 1
     337: 1
     338: 1
     339: 1
     340: 1
     342: 1
     343: 1
     344: 1
     356: 1
     357: 1
     358: 1
     359: 1
     360: 1
     361: 1
     370: 1
     371: 1
     374: 1
     375: 1
     376: q+1
     377: q+1
     382: 1
     383: 1
     392: 2
     402: 1
     405: 1
     409: q+2
     410: 2
     411: 2
     412: 1
     423: 1
     426: 1
     427: 1
     428: 1
     429: 1
     430: 1
     432: 1
     433: 1
     434: 1
     450: 1
     451: 1
     466: 1
     467: 1
     470: 1
     471: 1
     497: 1
     508: 1
     515: 1
     518: 2
     519: 1
     520: 1
     523: 1
     525: 1
     526: 1
     527: 1
     569: 1
     570: 1
     597: 1
     603: 1
     604: 1
     606: 1
     690: 1

691:   0: q+2
       1: q+2
       2: q+2
       3: q+2
       4: q+2
       5: q+2
       6: q+2
       7: q+2
       8: q+2
       9: q+2
      10: q+2
      11: q^2+q+1
      12: q+2
      13: q^2+q+1
      14: q^2+q+1
      15: q+2
      16: q+2
      17: q+2
      18: q^2+q+1
      19: q+2
      20: q+2
      21: q+2
      22: q^2+q+1
      23: 2
      24: 2
      25: q+1
      26: q+1
      27: q+2
      28: q+2
      29: q+2
      30: q+2
      31: 2
      32: 2
      33: 2
      34: 2
      35: q+2
      36: q+2
      37: q+2
      38: q+2
      39: q+1
      40: q+2
      41: q+2
      42: 2
      43: 2
      44: 2
      45: q+2
      46: q+2
      47: 2
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: q+2
      57: q+2
      58: q+2
      59: q^2+q+1
      60: 2
      61: 2
      62: q+1
      63: q+1
      64: 2
      65: q+1
      66: 2
      67: q+1
      68: 2
      69: 2
      70: 2
      71: 2
      72: q+2
      73: q+2
      74: q+2
      75: q+2
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: 1
      82: q+1
      83: 1
      84: q+2
      85: q+1
      86: 2
      87: 2
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 2
      97: 2
      98: 2
      99: 2
     100: q+2
     101: 2
     102: q+2
     103: q+2
     104: 2
     105: 2
     106: q+1
     107: q+1
     108: 2
     109: q+1
     110: 2
     111: q+1
     112: 1
     113: 1
     114: 1
     115: 1
     116: 2
     117: q+1
     118: 2
     119: q+1
     120: 2
     121: 2
     122: 2
     123: 2
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 1
     134: q+1
     135: 1
     144: q+1
     145: 1
     146: 2
     147: 2
     148: 2
     149: 1
     150: 1
     152: 2
     153: 1
     154: 2
     155: 1
     156: q+1
     157: q+2
     158: 2
     159: 2
     160: 2
     161: 2
     162: 1
     163: 1
     164: 1
     165: 1
     166: 1
     167: 1
     168: 1
     169: 1
     170: 2
     171: q+1
     172: 2
     173: q+1
     174: 1
     175: 1
     176: 1
     177: 1
     178: 2
     179: q+1
     180: 2
     181: q+1
     182: 1
     183: 1
     184: 1
     185: 1
     192: 1
     193: 1
     194: 1
     195: 1
     198: 1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     214: 1
     215: q+1
     216: 1
     217: 2
     218: 1
     219: 2
     220: 1
     221: 1
     222: 1
     223: 1
     225: 1
     226: 1
     227: q+1
     228: 1
     229: 2
     230: 2
     231: 1
     240: 1
     242: 1
     243: 2
     244: 1
     245: 1
     246: 1
     247: 1
     248: 1
     249: 1
     250: 1
     251: 1
     252: 2
     253: q+1
     254: 2
     255: q+1
     256: 1
     257: 1
     258: 1
     259: 1
     270: 1
     271: 1
     278: 1
     279: 1
     286: 1
     287: 1
     296: 1
     297: 1
     298: 1
     299: 1
     300: 1
     309: 1
     310: 1
     311: 1
     314: 1
     315: 1
     317: 1
     318: q+1
     319: 1
     320: 2
     321: 1
     322: 2
     323: 1
     324: 1
     333: 1
     334: 1
     335: 1
     337: 1
     338: 1
     339: 1
     340: 1
     341: 1
     342: 1
     343: 1
     344: 1
     345: 1
     374: 1
     375: 1
     390: 1
     391: 1
     392: 1
     393: 1
     402: 1
     403: 1
     405: 1
     408: 1
     409: 1
     410: 1
     411: 1
     412: 1
     421: 1
     422: 1
     423: 1
     426: 1
     427: 1
     432: 1
     433: 1
     434: 1
     435: 1
     498: 1
     507: 1
     508: 1
     511: 1
     516: 1
     517: 1
     518: 1
     519: 1
     520: 1
     521: 1
     523: 1
     598: 1
     605: 1
     606: 1
     608: 1
     691: 1

692:   0: 2q^2+6q+2
       1: 2q^2+6q+2
       2: 6q+2
       3: q^3+3q^2+4q+2
       4: 2q^2+6q+2
       5: 2q^3+4q+2
       6: q^3+3q^2+4q+2
       7: 2q^2+6q+2
       8: 6q+2
       9: q^4+q^3+q^2+3q+2
      10: 2q^3+4q+2
      11: q^4+3q^3+4q^2+3q+1
      12: 2q^2+4q+2
      13: q^3+2q^2+2q+1
      14: q^3+2q^2+2q+1
      15: 4q+2
      16: q^2+3q+2
      17: 4q+2
      18: q^3+2q^2+2q+1
      19: 2q^2+6q+2
      20: q^3+3q^2+4q+2
      21: 2q^2+6q+2
      22: q^3+2q^2+2q+1
      23: 4q+2
      24: 4q+2
      25: q^3+3q^2+3q+1
      26: q^2+2q+1
      27: q^2+4q+2
      28: q^2+4q+2
      29: q^3+3q+2
      30: 4q+2
      31: 2q^2+6q+2
      32: 2q^2+6q+2
      33: 6q+2
      34: 2q^3+4q+2
      35: 2q^2+6q+2
      36: 2q^2+6q+2
      37: 6q+2
      38: 2q^3+4q+2
      39: q^2+2q+1
      40: 3q+2
      41: q^2+4q+2
      42: 4q+2
      43: 2q^2+6q+2
      44: 4q+2
      45: 4q+2
      46: 2q^2+6q+2
      47: 4q+2
      48: q^2+3q+1
      49: q^2+3q+1
      50: q^2+3q+1
      51: q^2+3q+1
      52: 3q+1
      53: 3q+1
      54: q^3+2q+1
      55: q^3+2q+1
      56: 4q+2
      57: q^2+3q+2
      58: 4q+2
      59: q^3+2q^2+2q+1
      60: 4q+2
      61: 4q+2
      62: q^3+3q^2+3q+1
      63: q^2+2q+1
      64: 2q+2
      65: q^2+3q+1
      66: 2q+2
      67: 2q+1
      68: q^2+4q+2
      69: q^2+4q+2
      70: 4q+2
      71: q^3+3q+2
      72: q^2+4q+2
      73: q^2+4q+2
      74: 4q+2
      75: q^3+3q+2
      76: 2q+1
      77: 2q+1
      78: q^2+3q+1
      79: q^2+3q+1
      80: 2q+1
      81: 2q+1
      82: q^2+2q+1
      83: 2q+1
      84: 3q+2
      85: 2q+1
      86: q+2
      87: q+2
      88: q+1
      89: q+1
      90: q+1
      91: q+1
      92: q+1
      93: q+1
      94: q+1
      95: q+1
      96: 4q+2
      97: 4q+2
      98: 3q+2
      99: q^2+4q+2
     100: 4q+2
     101: 4q+2
     102: 3q+2
     103: q^2+4q+2
     104: 2q+2
     105: 2q+2
     106: q^2+2q+1
     107: q^2+2q+1
     108: 2q+2
     109: q^2+3q+1
     110: 2q+2
     111: 2q+1
     112: 2q+2
     113: q^2+3q+1
     114: 2q+2
     115: 2q+1
     116: 2q+2
     117: q^2+3q+1
     118: 2q+2
     119: 2q+1
     120: q^2+4q+2
     121: q^2+4q+2
     122: 4q+2
     123: q^3+3q+2
     124: 1
     125: 1
     126: q+1
     127: q+1
     128: q+1
     129: q+1
     130: 2q+1
     131: 2q+1
     132: 2q+1
     133: 2q+1
     134: q^2+2q+1
     135: q+1
     144: 2q+1
     145: 2q+1
     146: q+2
     147: q+2
     148: 2q+2
     149: 2q+1
     150: 2q+1
     151: q+2
     152: 3q+2
     153: q+2
     154: 2q+2
     155: 2q+1
     156: 2q+1
     157: 3q+2
     158: q+2
     159: q+2
     160: 3q+2
     161: q^2+4q+2
     162: q+1
     163: q+1
     164: q+1
     165: q+1
     166: q+1
     167: q+1
     168: q+1
     169: q+1
     170: 2
     171: q+1
     172: 2
     173: q+1
     174: 2q+2
     175: q^2+3q+1
     176: 2q+2
     177: 2q+1
     178: 2q+2
     179: q^2+3q+1
     180: 2q+2
     181: 2q+1
     182: 2q+2
     183: q^2+3q+1
     184: 2q+2
     185: 2q+1
     192: 1
     193: 1
     194: q+1
     195: q+1
     196: 1
     197: 1
     198: 1
     199: 1
     200: q+1
     201: q+1
     202: q+1
     203: q+1
     204: q+1
     205: q+1
     214: q+1
     215: q+1
     216: 1
     217: 2
     218: q+1
     219: 2
     220: q+1
     221: q+1
     222: 2q+1
     223: 2q+1
     224: q+2
     225: q+2
     226: q+1
     227: 2q+1
     228: 2q+1
     229: q+2
     230: q+2
     231: 2q+1
     240: 2q+1
     241: q+2
     242: q+2
     243: 3q+2
     244: 2
     245: q+1
     246: 2
     247: q+1
     248: 2
     249: q+1
     250: 2
     251: q+1
     252: 2
     253: q+1
     254: 2
     255: q+1
     256: 2q+2
     257: q^2+3q+1
     258: 2q+2
     259: 2q+1
     270: 1
     271: 1
     274: 1
     275: 1
     278: 1
     279: 1
     284: 1
     285: 1
     286: q+1
     287: q+1
     296: 1
     297: 1
     298: 1
     299: 1
     300: q+1
     309: q+1
     310: q+1
     311: 1
     312: 2
     313: q+1
     314: 2
     315: q+1
     316: 2
     317: q+1
     318: q+1
     319: 1
     320: 2
     321: q+1
     322: 2
     323: q+1
     324: 2
     333: q+1
     334: 2q+1
     335: 2q+1
     336: q+2
     337: q+2
     338: 2
     339: q+1
     340: 2
     341: q+1
     342: 2
     343: q+1
     344: 2
     345: q+1
     366: 1
     367: 1
     374: 1
     375: 1
     384: 1
     385: 1
     388: 1
     389: 1
     390: 1
     391: 1
     392: 1
     393: q+1
     402: 1
     403: 1
     404: 1
     405: 1
     406: 1
     407: 2
     408: 1
     409: 1
     410: 1
     411: 1
     412: 2
     421: q+1
     422: q+1
     423: 1
     424: 2
     425: q+1
     426: 2
     427: q+1
     484: 1
     485: 1
     486: 1
     487: 1
     498: 1
     510: 1
     511: 1
     512: 1
     514: 1
     516: 1
     517: 1
     518: 1
     520: 1
     521: 1
     522: 1
     523: 1
     524: 1
     601: 1
     605: 1
     607: 1
     608: 1
     609: 1
     610: 1
     692: 1

693:   0: 6q+2
       1: 2q^2+4q+2
       2: 6q+2
       3: 2q^2+4q+2
       4: 6q+2
       6: q^3+2q^2+3q+2
       7: 2q^2+4q+2
       8: 6q+2
      11: q^3+2q^2+3q+2
      12: 2q^2+4q+2
      19: 4q+2
      20: q^2+3q+2
      21: 4q+2
      23: 6q+2
      24: 6q+2
      25: q^3+2q^2+3q+2
      27: 4q+2
      28: q^2+3q+2
      30: 4q+2
      31: 6q+2
      32: 2q^2+4q+2
      33: 6q+2
      35: 6q+2
      36: 2q^2+4q+2
      37: 6q+2
      41: 3q+2
      43: 4q+2
      44: 6q+2
      46: 4q+2
      47: 6q+2
      48: 3q+1
      49: 3q+1
      50: q^2+2q+1
      51: q^2+2q+1
      52: 3q+1
      53: 3q+1
      60: 4q+2
      61: 4q+2
      62: q^2+3q+2
      64: 4q+2
      65: q^2+3q+2
      66: 4q+2
      68: 4q+2
      69: q^2+3q+2
      70: 4q+2
      72: 4q+2
      73: q^2+3q+2
      74: 4q+2
      78: 2q+1
      79: 2q+1
      80: 3q+1
      81: 3q+1
      83: 3q+2
      86: 2q+2
      87: 2q+2
      88: q+1
      89: q+1
      90: q+1
      91: q+1
      92: q+1
      93: q+1
      97: 4q+2
      99: 3q+2
     101: 4q+2
     103: 3q+2
     108: 2q+2
     109: 2q+2
     110: 2q+2
     112: 4q+2
     113: q^2+3q+2
     114: 4q+2
     116: 4q+2
     117: q^2+3q+2
     118: 4q+2
     120: 4q+2
     121: q^2+3q+2
     122: 4q+2
     124: 1
     125: 1
     128: q+1
     129: q+1
     132: 2q+1
     133: 2q+1
     136: q+1
     137: q+1
     138: q+1
     139: q+1
     140: q+1
     141: q+1
     145: 2q+2
     146: q+2
     147: q+2
     149: 3q+2
     151: 2q+2
     153: 2q+2
     155: 3q+2
     158: 2q+2
     159: 2q+2
     161: 3q+2
     162: q+1
     163: q+1
     164: q+1
     165: q+1
     166: q+1
     167: q+1
     174: 2q+2
     175: 2q+2
     176: 2q+2
     178: 2q+2
     179: 2q+2
     180: 2q+2
     182: 4q+2
     183: q^2+3q+2
     184: 4q+2
     186: q+1
     187: q+1
     190: 1
     191: 1
     192: 1
     193: 1
     196: 1
     197: 1
     198: 1
     199: 1
     204: q+1
     205: q+1
     218: q+2
     220: q+2
     223: 2q+2
     224: q+2
     225: q+2
     228: 2q+2
     229: q+2
     230: q+2
     231: 3q+2
     232: q+1
     233: q+1
     234: q+1
     235: q+1
     236: q+1
     237: q+1
     241: 2q+2
     242: 2q+2
     244: 4
     245: 2q+2
     246: 4
     256: 2q+2
     257: 2q+2
     258: 2q+2
     268: 1
     269: 1
     272: 1
     273: 1
     274: 1
     275: 1
     276: 1
     277: 1
     278: 1
     279: 1
     280: q+1
     281: q+1
     284: 1
     285: 1
     299: 2
     301: 2
     302: 2
     303: q+1
     304: q+1
     305: 2
     306: 2
     313: q+2
     315: q+2
     316: 4
     321: q+2
     323: q+2
     324: 4
     335: 2q+2
     336: q+2
     337: q+2
     338: 2
     339: q+1
     340: 2
     358: 1
     359: 1
     362: 1
     363: 1
     368: 2
     369: 2
     370: 1
     371: 1
     376: 2
     377: 2
     384: 1
     385: 1
     386: 1
     387: 1
     388: 2
     389: 2
     402: 1
     406: 2
     407: 2
     411: 2
     412: 2
     425: q+2
     427: q+2
     428: 2
     429: q+1
     430: 2
     436: 1
     437: 1
     439: 1
     440: 1
     460: 1
     461: 1
     470: 1
     471: 1
     480: 1
     481: 1
     486: 1
     487: 1
     497: 1
     509: 2
     514: 1
     515: 2
     520: 1
     524: 2
     575: 1
     576: 1
     583: 1
     584: 1
     600: 1
     604: 1
     610: 1
     693: 1

694:   0: 2q^2+4q+2
       1: 2q+2
       2: 2q^2+4q+2
       3: 2q^2+4q+2
       4: 2q^2+4q+2
       5: 2q+2
       6: 2q+2
       7: 2q+2
       8: 2q^2+4q+2
       9: 2q+2
      10: 2q+2
      11: q^3+q^2+q+1
      12: 2q^2+4q+2
      13: q^3+q^2+q+1
      15: 2q+2
      16: 2q+2
      17: 2q+2
      18: q^3+q^2+q+1
      19: 2q+2
      20: 2q+2
      21: 2q+2
      23: 2q+2
      24: 2q+2
      25: q+1
      26: q+1
      27: 2q^2+4q+2
      28: 2q+2
      29: 2q+2
      30: 2q^2+4q+2
      31: 2q^2+4q+2
      32: 2q+2
      33: 2q^2+4q+2
      34: 2q+2
      35: 2q^2+4q+2
      36: 2q+2
      37: 2q^2+4q+2
      38: 2q+2
      39: q+1
      40: 2q+2
      41: 2q+2
      42: 2q+2
      43: 2q+2
      44: 2q+2
      45: 2q+2
      46: 2q+2
      47: 2q+2
      48: q^2+2q+1
      49: q^2+2q+1
      50: q+1
      51: q+1
      52: q^2+2q+1
      53: q^2+2q+1
      54: q+1
      55: q+1
      56: 2q+2
      57: 2q+2
      58: 2q+2
      60: 2
      61: 2
      62: q+1
      64: 2q+2
      65: q+1
      66: 2q+2
      67: q+1
      68: 2q^2+4q+2
      69: 2q+2
      70: 2q^2+4q+2
      71: 2q+2
      72: 2q^2+4q+2
      73: 2q+2
      74: 2q^2+4q+2
      75: 2q+2
      76: q+1
      77: q+1
      78: q+1
      79: q+1
      80: q+1
      81: q+1
      83: 1
      84: 2q+2
      85: q+1
      86: 2q+2
      87: 2q+2
      88: q^2+2q+1
      89: q^2+2q+1
      90: q+1
      91: q+1
      92: q^2+2q+1
      93: q^2+2q+1
      94: q+1
      95: q+1
      96: 2q+2
      97: 2
      98: 2q+2
      99: 2q+2
     100: 2q+2
     101: 2
     102: 2q+2
     103: 2q+2
     104: 2
     105: 2
     106: q+1
     108: 2
     109: q+1
     110: 2
     112: 2q+2
     113: q+1
     114: 2q+2
     115: q+1
     116: 2q+2
     117: q+1
     118: 2q+2
     119: q+1
     120: 2q^2+4q+2
     121: 2q+2
     122: 2q^2+4q+2
     123: 2q+2
     124: q+1
     125: q+1
     126: q+1
     127: q+1
     128: q+1
     129: q+1
     130: q+1
     131: q+1
     132: 1
     133: 1
     135: 1
     145: 1
     146: 2
     147: 2
     148: 2
     149: 1
     150: q+1
     151: 2q+2
     152: 2q+2
     153: 2q+2
     154: 2
     155: 1
     156: q+1
     157: 2q+2
     158: 2q+2
     159: 2q+2
     160: 2q+2
     161: 2q+2
     162: q^2+2q+1
     163: q^2+2q+1
     164: q+1
     165: q+1
     166: q^2+2q+1
     167: q^2+2q+1
     168: q+1
     169: q+1
     170: 2
     171: q+1
     172: 2
     174: 2
     175: q+1
     176: 2
     178: 2
     179: q+1
     180: 2
     182: 2q+2
     183: q+1
     184: 2q+2
     185: q+1
     192: 1
     193: 1
     194: q+1
     195: q+1
     196: q+1
     197: q+1
     198: q+1
     199: q+1
     200: 1
     201: 1
     202: q+1
     203: q+1
     204: q+1
     205: q+1
     216: 1
     217: 2
     218: 1
     219: 2
     220: 1
     221: 1
     223: 1
     224: 2
     225: 2
     226: 1
     228: 1
     229: 2
     230: 2
     231: 1
     240: q+1
     241: 2q+2
     242: 2q+2
     243: 2q+2
     244: 2q+2
     245: q+1
     246: 2q+2
     247: q+1
     248: 2
     249: q+1
     250: 2
     252: 2
     253: q+1
     254: 2
     256: 2
     257: q+1
     258: 2
     270: 1
     271: 1
     274: 1
     275: 1
     278: 1
     279: 1
     284: q+1
     285: q+1
     286: q+1
     287: q+1
     297: 1
     298: 1
     299: 1
     300: q+1
     311: 1
     312: 2
     313: 1
     314: 2
     315: 1
     316: 2q+2
     319: 1
     320: 2
     321: 1
     322: 2
     323: 1
     324: 2q+2
     333: 1
     335: 1
     336: 2
     337: 2
     338: 2
     339: q+1
     340: 2
     342: 2
     343: q+1
     344: 2
     366: 1
     367: 1
     374: 1
     375: 1
     384: 1
     385: 1
     388: q+1
     389: q+1
     392: 1
     402: 1
     404: 1
     405: 1
     406: 1
     407: 2
     409: 1
     410: 1
     411: 1
     412: 2
     423: 1
     424: 2
     425: 1
     426: 2
     427: 1
     432: 2
     433: q+1
     434: 2
     484: 1
     485: 1
     486: 1
     487: 1
     508: 1
     512: 1
     513: 2
     514: 1
     518: 1
     519: 2
     520: 1
     522: 1
     523: 1
     524: 1
     585: 1
     586: 1
     602: 1
     606: 1
     609: 1
     610: 1
     694: 1

695:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q^2+q+1
       6: q+1
       7: q^2+q+1
       8: q^2+q+1
      11: q+1
      12: q^2+q+1
      19: q+1
      20: q+1
      21: q^2+q+1
      23: q+1
      24: q^2+q+1
      25: q+1
      27: q+1
      28: q+1
      30: q^2+q+1
      31: q+1
      32: q+1
      33: q+1
      35: q+1
      36: q+1
      37: q+1
      41: q+1
      43: q+1
      44: q+1
      46: q+1
      47: q+1
      48: q+1
      50: q+1
      52: q+1
      60: q+1
      61: q^2+q+1
      62: q+1
      64: q+1
      65: q+1
      66: q^2+q+1
      68: q+1
      69: q+1
      70: q+1
      72: q+1
      73: q+1
      74: q+1
      78: q+1
      80: q+1
      83: q+1
      86: q+1
      87: q+1
      88: q+1
      90: q+1
      92: q+1
      97: q+1
      99: q+1
     101: q+1
     103: q+1
     108: q+1
     109: q+1
     110: q^2+q+1
     112: q+1
     113: q+1
     114: q+1
     116: q+1
     117: q+1
     118: q+1
     120: 1
     121: 1
     122: q+1
     124: q+1
     128: q+1
     132: q+1
     136: q+1
     138: q+1
     140: q+1
     145: q+1
     146: q+1
     147: q+1
     149: q+1
     151: 1
     153: q+1
     155: q+1
     158: q+1
     159: 1
     161: 1
     162: 1
     164: 1
     166: q+1
     174: q+1
     175: q+1
     176: q+1
     178: q+1
     179: q+1
     180: q+1
     182: 1
     183: 1
     184: q+1
     186: q+1
     190: q+1
     192: q+1
     196: 1
     198: 1
     204: 1
     206: q+1
     208: q+1
     210: q+1
     218: q+1
     220: q+1
     223: q+1
     224: 1
     225: q+1
     228: q+1
     229: q+1
     230: 1
     231: 1
     232: 1
     234: 1
     236: q+1
     241: 1
     242: 1
     244: 1
     245: 1
     246: q+1
     256: 1
     257: 1
     258: q+1
     262: q+1
     266: q+1
     268: q+1
     272: 1
     274: 1
     276: 1
     278: 1
     280: 1
     284: 1
     299: 1
     301: 1
     303: 1
     305: q+1
     313: 1
     315: q+1
     316: 1
     321: q+1
     323: 1
     324: 1
     325: 1
     327: 1
     329: q+1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: q+1
     354: q+1
     358: 1
     362: 1
     364: 1
     368: 1
     370: 1
     372: 1
     376: 1
     380: 1
     384: 1
     386: 1
     388: 1
     394: 1
     396: 1
     398: q+1
     402: 1
     406: 1
     407: 1
     411: 1
     412: 1
     425: 1
     427: 1
     428: 1
     429: 1
     430: q+1
     436: 1
     448: 1
     454: 1
     460: 1
     462: 1
     464: 1
     470: 1
     472: 1
     480: 1
     482: 1
     486: 1
     489: 1
     491: 1
     493: q+1
     497: 1
     509: 1
     514: 1
     515: 1
     520: 1
     529: 1
     539: 1
     547: 1
     549: 1
     555: 1
     561: 1
     567: 1
     575: 1
     577: 1
     600: 1
     604: 1
     615: 1
     637: 1
     639: 1
     645: 1
     655: 1
     695: 1

696:   0: 5q^2+3q
       1: 5q^2+3q
       2: 2q^3+5q^2+3q
       3: 5q^2+3q
       4: 2q^3+5q^2+3q
       6: 5q^2+3q
       7: 2q^3+5q^2+3q
       8: 3q^3+5q^2+3q
      11: q^3+3q^2+2q
      12: 3q^3+5q^2+3q
      19: 5q^2+3q
      20: 5q^2+3q
      21: 2q^3+5q^2+3q
      23: 4q^2+3q
      24: q^3+4q^2+3q
      25: 3q^2+2q
      27: 5q^2+3q
      28: 5q^2+3q
      30: 3q^3+5q^2+3q
      31: 4q^2+3q
      32: 4q^2+3q
      33: q^3+4q^2+3q
      35: 4q^2+3q
      36: 4q^2+3q
      37: q^3+4q^2+3q
      41: 5q^2+3q
      43: 4q^2+3q
      44: 3q^2+3q
      46: 4q^2+3q
      47: 3q^2+3q
      48: q^2+q
      49: 2q^2+2q
      50: q^2+q
      51: 2q^2+2q
      52: q^2+q
      53: 2q^2+2q
      60: 4q^2+3q
      61: q^3+4q^2+3q
      62: 3q^2+2q
      64: 4q^2+3q
      65: 3q^2+2q
      66: q^3+4q^2+3q
      68: 4q^2+3q
      69: 4q^2+3q
      70: q^3+4q^2+3q
      72: 4q^2+3q
      73: 4q^2+3q
      74: q^3+4q^2+3q
      78: q^2+q
      79: 2q^2+2q
      80: q^2+q
      81: q^2+2q
      83: 2q^2+2q
      86: 3q^2+3q
      87: 3q^2+3q
      88: q^2+q
      89: 2q^2+2q
      90: q^2+q
      91: 2q^2+2q
      92: q^2+q
      93: 2q^2+2q
      97: 3q^2+3q
      99: 4q^2+3q
     101: 3q^2+3q
     103: 4q^2+3q
     108: 4q^2+3q
     109: 3q^2+2q
     110: q^3+4q^2+3q
     112: 2q^2+3q
     113: 2q^2+2q
     114: 2q^2+3q
     116: 2q^2+3q
     117: 2q^2+2q
     118: 2q^2+3q
     120: q^2+3q
     121: q^2+3q
     122: 3q^2+3q
     124: q^2+q
     125: q^2+2q
     128: q^2+q
     129: 2q^2+2q
     132: q^2+q
     133: q^2+2q
     137: 2q
     139: q^2+q
     141: 2q
     145: 2q^2+2q
     146: 3q^2+3q
     147: 3q^2+3q
     149: q^2+2q
     151: 2q
     153: 2q^2+3q
     155: q^2+2q
     158: 2q^2+3q
     159: 2q
     161: q^2+3q
     162: q
     163: q^2+2q
     164: q
     165: q^2+2q
     166: q^2+q
     167: 2q^2+2q
     174: 2q^2+3q
     175: 2q^2+2q
     176: 2q^2+3q
     178: 2q^2+3q
     179: 2q^2+2q
     180: 2q^2+3q
     182: 3q
     183: 2q
     184: q^2+3q
     187: q
     191: 2q
     192: q^2+q
     193: q^2+2q
     196: q
     197: q
     198: q
     199: q
     204: q
     205: q^2+2q
     207: 2q
     209: q^2+q
     211: 2q
     218: q^2+2q
     220: q^2+2q
     223: q^2+2q
     224: 2q
     225: 2q^2+3q
     228: q^2+2q
     229: 2q^2+3q
     230: 2q
     231: 2q
     233: 2q
     235: q
     237: 2q
     241: 2q
     242: 2q
     244: 3q
     245: 2q
     246: q^2+3q
     256: 3q
     257: 2q
     258: q^2+3q
     263: q
     267: 2q
     269: q
     273: q
     274: q
     275: q
     277: q
     278: q
     279: q
     281: q
     284: q
     299: 2q
     302: 2q
     304: q
     306: 2q
     313: q
     315: q^2+2q
     316: 2q
     321: q^2+2q
     323: q
     324: 2q
     326: 2q
     328: q
     330: 2q
     335: 2q
     336: 2q
     337: 2q
     338: 3q
     339: 2q
     340: q^2+3q
     355: q
     359: q
     365: q
     369: q
     373: q
     377: q
     381: q
     384: q
     388: q
     395: 2q
     397: q
     399: 2q
     402: 2q
     406: q
     407: 2q
     411: q
     412: 2q
     425: q
     427: q
     428: 1
     429: 1
     430: q+1
     449: q
     463: q
     473: q
     486: q
     490: 1
     492: 1
     494: q+1
     497: 1
     509: 1
     514: q
     515: 1
     520: q
     540: 1
     550: 1
     562: 1
     575: 1
     600: 1
     604: 1
     616: 1
     639: 1
     646: 1
     656: 1
     696: 1

697:   0: q^2+q
       1: q^4+q
       2: q^2+q
       3: q^2+q
       4: q^3+q^2+q
       6: q^4+q
       7: q
       8: q^3+q^2+q
      11: q^4+q
      12: q^3+q^2+q
      19: q
      20: q
      21: q
      23: q^2+q
      24: q^3+q^2+q
      25: q^4+q
      27: q^2+q
      28: q^4+q
      30: q^3+q^2+q
      31: q^2+q
      32: q
      33: q^2+q
      35: q^2+q
      36: q
      37: q^2+q
      41: q
      43: q
      44: q^2+q
      46: q
      47: q^2+q
      48: q^2+q
      50: q
      52: q^2+q
      60: q
      61: q
      62: q
      64: q^2+q
      65: q^4+q
      66: q^3+q^2+q
      68: q^2+q
      69: q
      70: q^2+q
      72: q^2+q
      73: q
      74: q^2+q
      78: q
      80: q^2+q
      83: q
      86: q^2+q
      87: q^2+q
      88: q^2+q
      90: q
      92: q^2+q
      97: q
      99: q
     101: q
     103: q
     108: q
     109: q
     110: q
     112: q^2+q
     113: q
     114: q^2+q
     116: q^2+q
     117: q
     118: q^2+q
     120: q
     121: q
     122: q^2+q
     124: q^2+q
     128: q
     132: q
     136: q^2+q
     138: q
     140: q^2+q
     145: q
     146: q
     147: q
     149: q
     151: q
     153: q^2+q
     155: q
     158: q^2+q
     159: q
     161: q
     162: q
     164: q
     166: q^2+q
     174: q
     175: q
     176: q
     178: q
     179: q
     180: q
     182: q
     183: q
     184: q^2+q
     186: q
     190: q^2+q
     192: q
     196: q
     198: q
     204: q
     206: q
     208: q
     210: q
     218: q
     220: q
     223: q
     224: q
     225: q
     228: q
     229: q
     230: q
     231: q
     232: q
     234: q
     236: q^2+q
     241: q
     242: q
     244: q
     245: q
     246: q^2+q
     262: q
     266: q
     268: q
     272: q
     274: q
     276: q
     278: q
     280: q
     284: q
     299: q
     301: q
     303: q
     305: q^2+q
     313: q
     315: q
     316: q
     321: q
     323: q
     324: q
     354: q
     358: q
     362: q
     368: q
     370: q
     376: q
     386: q
     388: q
     406: q
     411: q
     436: q
     460: q
     470: q
     482: 1
     531: 1
     577: 1
     617: 1
     637: 1
     697: 1

698:   0: 5q^2+3q
       1: 5q^2+3q
       2: 2q^3+5q^2+3q
       3: 5q^2+3q
       4: 2q^3+5q^2+3q
       6: 5q^2+3q
       7: 2q^3+5q^2+3q
       8: 3q^3+5q^2+3q
      11: q^3+3q^2+2q
      12: 3q^3+5q^2+3q
      19: 5q^2+3q
      20: 5q^2+3q
      21: 2q^3+5q^2+3q
      23: 4q^2+3q
      24: q^3+4q^2+3q
      25: 3q^2+2q
      27: 5q^2+3q
      28: 5q^2+3q
      30: 3q^3+5q^2+3q
      31: 4q^2+3q
      32: 4q^2+3q
      33: q^3+4q^2+3q
      35: 4q^2+3q
      36: 4q^2+3q
      37: q^3+4q^2+3q
      41: 5q^2+3q
      43: 4q^2+3q
      44: 3q^2+3q
      46: 4q^2+3q
      47: 3q^2+3q
      48: 2q^2+2q
      49: q^2+q
      50: 2q^2+2q
      51: q^2+q
      52: 2q^2+2q
      53: q^2+q
      60: 4q^2+3q
      61: q^3+4q^2+3q
      62: 3q^2+2q
      64: 4q^2+3q
      65: 3q^2+2q
      66: q^3+4q^2+3q
      68: 4q^2+3q
      69: 4q^2+3q
      70: q^3+4q^2+3q
      72: 4q^2+3q
      73: 4q^2+3q
      74: q^3+4q^2+3q
      78: 2q^2+2q
      79: q^2+q
      80: q^2+2q
      81: q^2+q
      83: 2q^2+2q
      86: 3q^2+3q
      87: 3q^2+3q
      88: 2q^2+2q
      89: q^2+q
      90: 2q^2+2q
      91: q^2+q
      92: 2q^2+2q
      93: q^2+q
      97: 3q^2+3q
      99: 4q^2+3q
     101: 3q^2+3q
     103: 4q^2+3q
     108: 4q^2+3q
     109: 3q^2+2q
     110: q^3+4q^2+3q
     112: 2q^2+3q
     113: 2q^2+2q
     114: 2q^2+3q
     116: 2q^2+3q
     117: 2q^2+2q
     118: 2q^2+3q
     120: q^2+3q
     121: q^2+3q
     122: 3q^2+3q
     124: q^2+2q
     125: q^2+q
     128: 2q^2+2q
     129: q^2+q
     132: q^2+2q
     133: q^2+q
     136: 2q
     138: q^2+q
     140: 2q
     145: 2q^2+2q
     146: 3q^2+3q
     147: 3q^2+3q
     149: q^2+2q
     151: 2q
     153: 2q^2+3q
     155: q^2+2q
     158: 2q^2+3q
     159: 2q
     161: q^2+3q
     162: q^2+2q
     163: q
     164: q^2+2q
     165: q
     166: 2q^2+2q
     167: q^2+q
     174: 2q^2+3q
     175: 2q^2+2q
     176: 2q^2+3q
     178: 2q^2+3q
     179: 2q^2+2q
     180: 2q^2+3q
     182: 3q
     183: 2q
     184: q^2+3q
     186: q
     190: 2q
     192: q^2+2q
     193: q^2+q
     196: q
     197: q
     198: q
     199: q
     204: q^2+2q
     205: q
     206: 2q
     208: q^2+q
     210: 2q
     218: q^2+2q
     220: q^2+2q
     223: q^2+2q
     224: 2q
     225: 2q^2+3q
     228: q^2+2q
     229: 2q^2+3q
     230: 2q
     231: 2q
     232: 2q
     234: q
     236: 2q
     241: 2q
     242: 2q
     244: 3q
     245: 2q
     246: q^2+3q
     256: 3q
     257: 2q
     258: q^2+3q
     262: q
     266: 2q
     268: q
     272: q
     274: q
     275: q
     276: q
     278: q
     279: q
     280: q
     285: q
     299: 2q
     301: 2q
     303: q
     305: 2q
     313: q
     315: q^2+2q
     316: 2q
     321: q^2+2q
     323: q
     324: 2q
     325: 2q
     327: q
     329: 2q
     335: 2q
     336: 2q
     337: 2q
     338: 3q
     339: 2q
     340: q^2+3q
     354: q
     358: q
     364: q
     368: q
     372: q
     376: q
     380: q
     385: q
     389: q
     394: 2q
     396: q
     398: 2q
     402: 2q
     406: q
     407: 2q
     411: q
     412: 2q
     425: q
     427: q
     428: 1
     429: 1
     430: q+1
     448: q
     462: q
     472: q
     487: q
     489: 1
     491: 1
     493: q+1
     497: 1
     509: 1
     514: q
     515: 1
     520: q
     539: 1
     549: 1
     561: 1
     576: 1
     600: 1
     604: 1
     618: 1
     640: 1
     645: 1
     655: 1
     698: 1

699:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q^2+q+1
       6: q+1
       7: q^2+q+1
       8: q^2+q+1
      11: q+1
      12: q^2+q+1
      19: q+1
      20: q+1
      21: q^2+q+1
      23: q+1
      24: q^2+q+1
      25: q+1
      27: q+1
      28: q+1
      30: q^2+q+1
      31: q+1
      32: q+1
      33: q+1
      35: q+1
      36: q+1
      37: q+1
      41: q+1
      43: q+1
      44: q+1
      46: q+1
      47: q+1
      49: q+1
      51: q+1
      53: q+1
      60: q+1
      61: q^2+q+1
      62: q+1
      64: q+1
      65: q+1
      66: q^2+q+1
      68: q+1
      69: q+1
      70: q+1
      72: q+1
      73: q+1
      74: q+1
      79: q+1
      81: q+1
      83: q+1
      86: q+1
      87: q+1
      89: q+1
      91: q+1
      93: q+1
      97: q+1
      99: q+1
     101: q+1
     103: q+1
     108: q+1
     109: q+1
     110: q^2+q+1
     112: q+1
     113: q+1
     114: q+1
     116: q+1
     117: q+1
     118: q+1
     120: 1
     121: 1
     122: q+1
     125: q+1
     129: q+1
     133: q+1
     137: q+1
     139: q+1
     141: q+1
     145: q+1
     146: q+1
     147: q+1
     149: q+1
     151: 1
     153: q+1
     155: q+1
     158: q+1
     159: 1
     161: 1
     163: 1
     165: 1
     167: q+1
     174: q+1
     175: q+1
     176: q+1
     178: q+1
     179: q+1
     180: q+1
     182: 1
     183: 1
     184: q+1
     187: q+1
     191: q+1
     193: q+1
     197: 1
     199: 1
     205: 1
     207: q+1
     209: q+1
     211: q+1
     218: q+1
     220: q+1
     223: q+1
     224: 1
     225: q+1
     228: q+1
     229: q+1
     230: 1
     231: 1
     233: 1
     235: 1
     237: q+1
     241: 1
     242: 1
     244: 1
     245: 1
     246: q+1
     256: 1
     257: 1
     258: q+1
     263: q+1
     267: q+1
     269: q+1
     273: 1
     275: 1
     277: 1
     279: 1
     281: 1
     285: 1
     299: 1
     302: 1
     304: 1
     306: q+1
     313: 1
     315: q+1
     316: 1
     321: q+1
     323: 1
     324: 1
     326: 1
     328: 1
     330: q+1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: q+1
     355: q+1
     359: 1
     363: 1
     365: 1
     369: 1
     371: 1
     373: 1
     377: 1
     381: 1
     385: 1
     387: 1
     389: 1
     395: 1
     397: 1
     399: q+1
     402: 1
     406: 1
     407: 1
     411: 1
     412: 1
     425: 1
     427: 1
     428: 1
     429: 1
     430: q+1
     440: 1
     449: 1
     455: 1
     461: 1
     463: 1
     465: 1
     471: 1
     473: 1
     481: 1
     483: 1
     487: 1
     490: 1
     492: 1
     494: q+1
     497: 1
     509: 1
     514: 1
     515: 1
     520: 1
     533: 1
     540: 1
     548: 1
     550: 1
     556: 1
     562: 1
     568: 1
     576: 1
     578: 1
     600: 1
     604: 1
     619: 1
     638: 1
     640: 1
     646: 1
     656: 1
     699: 1

700:   0: q^2+q
       1: q^4+q
       2: q^2+q
       3: q^2+q
       4: q^3+q^2+q
       6: q^4+q
       7: q
       8: q^3+q^2+q
      11: q^4+q
      12: q^3+q^2+q
      19: q
      20: q
      21: q
      23: q^2+q
      24: q^3+q^2+q
      25: q^4+q
      27: q^2+q
      28: q^4+q
      30: q^3+q^2+q
      31: q^2+q
      32: q
      33: q^2+q
      35: q^2+q
      36: q
      37: q^2+q
      41: q
      43: q
      44: q^2+q
      46: q
      47: q^2+q
      49: q^2+q
      51: q
      53: q^2+q
      60: q
      61: q
      62: q
      64: q^2+q
      65: q^4+q
      66: q^3+q^2+q
      68: q^2+q
      69: q
      70: q^2+q
      72: q^2+q
      73: q
      74: q^2+q
      79: q
      81: q^2+q
      83: q
      86: q^2+q
      87: q^2+q
      89: q^2+q
      91: q
      93: q^2+q
      97: q
      99: q
     101: q
     103: q
     108: q
     109: q
     110: q
     112: q^2+q
     113: q
     114: q^2+q
     116: q^2+q
     117: q
     118: q^2+q
     120: q
     121: q
     122: q^2+q
     125: q^2+q
     129: q
     133: q
     137: q^2+q
     139: q
     141: q^2+q
     145: q
     146: q
     147: q
     149: q
     151: q
     153: q^2+q
     155: q
     158: q^2+q
     159: q
     161: q
     163: q
     165: q
     167: q^2+q
     174: q
     175: q
     176: q
     178: q
     179: q
     180: q
     182: q
     183: q
     184: q^2+q
     187: q
     191: q^2+q
     193: q
     197: q
     199: q
     205: q
     207: q
     209: q
     211: q
     218: q
     220: q
     223: q
     224: q
     225: q
     228: q
     229: q
     230: q
     231: q
     233: q
     235: q
     237: q^2+q
     241: q
     242: q
     244: q
     245: q
     246: q^2+q
     263: q
     267: q
     269: q
     273: q
     275: q
     277: q
     279: q
     281: q
     285: q
     299: q
     302: q
     304: q
     306: q^2+q
     313: q
     315: q
     316: q
     321: q
     323: q
     324: q
     355: q
     359: q
     363: q
     369: q
     371: q
     377: q
     387: q
     389: q
     406: q
     411: q
     440: q
     461: q
     471: q
     483: 1
     534: 1
     578: 1
     620: 1
     638: 1
     700: 1

701:   0: q^2+2q+1
       1: q+1
       2: q^2+2q+1
       3: q+1
       4: q^2+2q+1
       5: q+1
       6: 1
       7: q+1
       8: q^2+2q+1
       9: 1
      10: q+1
      11: 1
      12: q^3+2q^2+2q+1
      13: 1
      15: q+1
      16: 1
      17: q+1
      18: 1
      19: q+1
      20: 1
      21: q+1
      23: q^2+2q+1
      24: q^2+2q+1
      25: 1
      26: 1
      27: q+1
      28: 1
      29: 1
      30: q^2+2q+1
      31: q^2+2q+1
      32: q+1
      33: q^2+2q+1
      34: q+1
      35: q^2+2q+1
      36: q+1
      37: q^2+2q+1
      38: q+1
      39: 1
      40: 1
      41: 1
      42: q+1
      43: q+1
      44: q^2+2q+1
      45: q+1
      46: q+1
      47: q^2+2q+1
      48: q^2+2q+1
      50: q+1
      52: q^2+2q+1
      54: q+1
      56: q+1
      57: 1
      58: q+1
      60: q+1
      61: q+1
      62: 1
      64: q+1
      65: 1
      66: q^2+2q+1
      67: 1
      68: q+1
      69: 1
      70: q^2+2q+1
      71: 1
      72: q+1
      73: 1
      74: q^2+2q+1
      75: 1
      76: q+1
      78: q+1
      80: q^2+2q+1
      83: 1
      84: 1
      85: 1
      86: q+1
      87: q+1
      88: q+1
      90: 1
      92: q^2+2q+1
      94: 1
      96: q+1
      97: q+1
      98: 1
      99: 1
     100: q+1
     101: q+1
     102: 1
     103: 1
     104: q+1
     105: q+1
     106: 1
     108: 1
     109: 1
     110: q+1
     112: q+1
     113: 1
     114: q^2+2q+1
     115: 1
     116: q+1
     117: 1
     118: q^2+2q+1
     119: 1
     120: q+1
     121: 1
     122: q^2+2q+1
     123: 1
     124: q+1
     126: 1
     128: 1
     130: q+1
     132: q+1
     135: 1
     136: q+1
     138: 1
     140: q^2+2q+1
     142: 1
     145: 1
     146: 1
     147: 1
     148: q+1
     149: 1
     150: 1
     151: q+1
     152: 1
     153: q+1
     154: q+1
     155: 1
     156: 1
     157: 1
     158: q+1
     159: q+1
     160: 1
     161: 1
     162: q+1
     164: 1
     166: q^2+2q+1
     168: 1
     170: 1
     171: 1
     172: q+1
     174: 1
     175: 1
     176: q+1
     178: 1
     179: 1
     180: q+1
     182: q+1
     183: 1
     184: q^2+2q+1
     185: 1
     186: 1
     188: 1
     190: q+1
     192: 1
     194: 1
     196: q+1
     198: q+1
     200: q+1
     202: 1
     204: 1
     206: 1
     208: 1
     210: q+1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     223: 1
     224: 1
     225: 1
     226: 1
     228: 1
     229: 1
     230: 1
     231: 1
     232: q+1
     234: 1
     236: q^2+2q+1
     238: 1
     240: 1
     241: q+1
     242: q+1
     243: 1
     244: q+1
     246: q+1
     248: 1
     249: 1
     250: q+1
     252: 1
     253: 1
     254: q+1
     256: 1
     257: 1
     258: q+1
     262: 1
     264: 1
     266: 1
     268: 1
     270: 1
     272: q+1
     274: 1
     276: q+1
     278: 1
     280: 1
     282: 1
     284: q+1
     286: 1
     288: 1
     290: 1
     292: q+1
     297: 1
     298: 1
     301: q+1
     305: q+1
     311: 1
     312: 1
     313: 1
     314: 1
     315: 1
     316: q+1
     319: 1
     320: 1
     321: 1
     322: 1
     323: 1
     324: q+1
     325: 1
     327: 1
     329: q+1
     333: 1
     335: 1
     336: 1
     337: 1
     338: 1
     340: 1
     342: 1
     343: 1
     344: q+1
     348: 1
     352: 1
     354: 1
     356: 1
     362: 1
     364: 1
     366: 1
     368: q+1
     370: 1
     372: 1
     374: 1
     376: q+1
     380: 1
     382: 1
     384: 1
     386: q+1
     388: q+1
     394: 1
     398: 1
     404: 1
     405: 1
     407: 1
     409: 1
     410: 1
     412: 1
     413: 1
     415: 1
     417: q+1
     423: 1
     424: 1
     425: 1
     426: 1
     427: 1
     428: 1
     430: 1
     432: 1
     434: 1
     436: q+1
     446: 1
     454: 1
     456: 1
     458: 1
     462: 1
     464: 1
     466: 1
     468: 1
     472: 1
     476: 1
     480: 1
     482: 1
     484: 1
     486: 1
     489: 1
     493: 1
     499: 1
     503: 1
     509: 1
     513: 1
     515: 1
     519: 1
     522: 1
     523: 1
     525: 1
     527: 1
     529: 1
     549: 1
     553: 1
     559: 1
     561: 1
     565: 1
     571: 1
     575: 1
     577: 1
     579: 1
     581: 1
     585: 1
     587: 1
     591: 1
     599: 1
     603: 1
     615: 1
     621: 1
     641: 1
     651: 1
     661: 1
     665: 1
     701: 1

702:   0: 2q^3+5q^2+3q
       1: 2q^2+3q
       2: 2q^3+5q^2+3q
       3: q^3+3q^2+2q
       4: 2q^3+5q^2+3q
       5: 2q^2+3q
       6: q^2+2q
       7: 2q^2+3q
       8: 2q^3+5q^2+3q
       9: q^2+2q
      10: 2q^2+3q
      11: q^2+2q
      12: 2q^4+4q^3+4q^2+2q
      13: q^2+2q
      15: 2q^2+3q
      16: q^2+2q
      17: 2q^2+3q
      18: q^2+2q
      19: 2q^2+3q
      20: q^2+2q
      21: 2q^2+3q
      23: 2q^3+5q^2+3q
      24: 2q^3+5q^2+3q
      25: q^2+2q
      26: q^2+2q
      27: 2q^2+2q
      28: 2q
      29: 2q
      30: q^3+3q^2+2q
      31: 2q^3+5q^2+3q
      32: 2q^2+3q
      33: 2q^3+5q^2+3q
      34: 2q^2+3q
      35: 2q^3+5q^2+3q
      36: 2q^2+3q
      37: 2q^3+5q^2+3q
      38: 2q^2+3q
      39: q^2+2q
      40: 2q
      41: 2q
      42: 2q^2+3q
      43: 2q^2+3q
      44: 2q^3+5q^2+3q
      45: 2q^2+3q
      46: 2q^2+3q
      47: 2q^3+5q^2+3q
      48: q^3+2q^2+q
      49: q^3+3q^2+2q
      50: q^2+q
      51: q^2+2q
      52: q^3+2q^2+q
      53: q^3+3q^2+2q
      54: q^2+q
      55: q^2+2q
      56: 2q^2+3q
      57: q^2+2q
      58: 2q^2+3q
      60: 2q^2+3q
      61: 2q^2+3q
      62: q^2+2q
      64: 2q^2+2q
      65: 2q
      66: q^3+3q^2+2q
      67: 2q
      68: 2q^2+2q
      69: 2q
      70: q^3+3q^2+2q
      71: 2q
      72: 2q^2+2q
      73: 2q
      74: q^3+3q^2+2q
      75: 2q
      76: q^2+q
      77: q^2+2q
      78: q^2+q
      79: q^2+2q
      80: q^3+2q^2+q
      81: q^3+3q^2+2q
      83: 2q
      84: 2q
      85: 2q
      86: q^2+q
      87: q^2+q
      89: q^2+q
      91: q
      93: q^2+q
      95: q
      96: 2q^2+3q
      97: 2q^2+3q
      98: 2q
      99: 2q
     100: 2q^2+3q
     101: 2q^2+3q
     102: 2q
     103: 2q
     104: 2q^2+3q
     105: 2q^2+3q
     106: q^2+2q
     108: 2q
     109: 2q
     110: q^2+2q
     112: 2q^2+2q
     113: 2q
     114: q^3+3q^2+2q
     115: 2q
     116: 2q^2+2q
     117: 2q
     118: q^3+3q^2+2q
     119: 2q
     120: 2q^2+2q
     121: 2q
     122: q^3+3q^2+2q
     123: 2q
     127: q
     129: q
     130: q^2+q
     131: q^2+2q
     132: q^2+q
     133: q^2+2q
     135: 2q
     137: q^2+q
     139: q
     141: q^2+q
     143: q
     145: 2q
     146: q
     147: q
     148: 2q^2+3q
     149: 2q
     150: 2q
     151: q^2+q
     152: 2q
     153: q^2+q
     154: 2q^2+3q
     155: 2q
     156: 2q
     157: 2q
     158: q^2+q
     159: q^2+q
     160: 2q
     161: 2q
     163: q^2+q
     165: q
     167: q^2+q
     169: q
     170: 2q
     171: 2q
     172: q^2+2q
     174: 2q
     175: 2q
     176: q^2+2q
     178: 2q
     179: 2q
     180: q^2+2q
     182: 2q^2+2q
     183: 2q
     184: q^3+3q^2+2q
     185: 2q
     187: q
     189: q
     195: q
     200: q^2+q
     201: q^2+2q
     203: q
     205: q
     207: q
     209: q
     211: q
     216: 2q
     217: q
     218: q
     219: q
     220: q
     221: 2q
     223: 2q
     224: q
     225: q
     226: 2q
     228: 2q
     229: q
     230: q
     231: 2q
     233: q^2+q
     235: q
     237: q^2+q
     239: q
     240: 2q
     241: q^2+q
     242: q^2+q
     243: 2q
     244: q+1
     246: q+1
     248: 2q
     249: 2q
     250: q^2+2q
     252: 2q
     253: 2q
     254: q^2+2q
     256: 2q
     257: 2q
     258: q^2+2q
     263: q
     265: q
     281: q
     283: q
     287: q
     289: q
     291: q
     293: q
     297: q
     298: q
     302: q+1
     306: q+1
     311: 2q
     312: q
     313: q
     314: q
     315: q
     316: q+1
     319: 2q
     320: q
     321: q
     322: q
     323: q
     324: q+1
     326: q
     328: q
     330: q
     333: 2q
     335: 2q
     336: q
     337: q
     338: 1
     340: 1
     342: 2q
     343: 2q
     344: q^2+2q
     349: q
     369: q+1
     377: q+1
     381: q
     383: q
     388: q+1
     395: 1
     399: 1
     404: q
     405: q
     407: 1
     409: q
     410: q
     412: 1
     414: q
     416: q
     418: q
     423: 2q
     424: q
     425: q
     426: q
     427: q
     428: 1
     430: 1
     432: 1
     434: 1
     437: q+1
     463: 1
     473: 1
     477: q
     486: 1
     490: 1
     494: 1
     500: 1
     504: 1
     509: 1
     513: 1
     515: 1
     519: 1
     522: q
     523: q
     525: 1
     527: 1
     530: 1
     550: 1
     560: 1
     562: 1
     572: 1
     575: 1
     585: 1
     588: 1
     592: 1
     599: 1
     603: 1
     616: 1
     622: 1
     642: 1
     652: 1
     661: 1
     702: 1

703:   0: q^3+2q^2+q
       1: q^4+q^3+q^2+q
       2: q^3+2q^2+q
       3: q^4+q^3+q^2+q
       4: q^3+2q^2+q
       5: q^4+q^3+q^2+q
       6: q^3+q
       7: q^2+q
       8: q^3+2q^2+q
       9: q^3+q
      10: q^2+q
      11: q^3+q
      12: q^4+2q^3+2q^2+q
      13: q^3+q
      15: q^4+q^3+q^2+q
      16: q^3+q
      17: q^2+q
      18: q^3+q
      19: q^3+q^2+q
      20: q^3+q
      21: q^2+q
      23: q^3+2q^2+q
      24: q^3+2q^2+q
      25: q^3+q
      26: q^3+q
      27: q^3+q^2+q
      28: q^3+q
      29: q^3+q
      30: q^3+2q^2+q
      31: 2q^2+q
      32: q^2+q
      33: 2q^2+q
      34: q^2+q
      35: 2q^2+q
      36: q^2+q
      37: 2q^2+q
      38: q^2+q
      39: q^3+q
      40: q^3+q
      41: q^3+q
      42: q^2+q
      43: q^2+q
      44: 2q^2+q
      45: q^2+q
      46: q^2+q
      47: 2q^2+q
      48: 2q^2+q
      50: q^2+q
      52: 2q^2+q
      54: q^2+q
      56: q^3+q^2+q
      57: q^3+q
      58: q^2+q
      60: q^3+q^2+q
      61: q^2+q
      62: q^3+q
      64: q^3+q^2+q
      65: q^3+q
      66: q^3+2q^2+q
      67: q^3+q
      68: q^2+q
      69: q
      70: 2q^2+q
      71: q
      72: q^2+q
      73: q
      74: 2q^2+q
      75: q
      76: q^2+q
      78: q^2+q
      80: 2q^2+q
      83: q^3+q
      84: q^3+q
      85: q^3+q
      86: q^2+q
      87: q^2+q
      88: q^2+q
      90: q
      92: 2q^2+q
      94: q
      96: q^2+q
      97: q^2+q
      98: q
      99: q
     100: q^2+q
     101: q^2+q
     102: q
     103: q
     104: q^3+q^2+q
     105: q^2+q
     106: q^3+q
     108: q
     109: q
     110: q^2+q
     112: q^2+q
     113: q
     114: 2q^2+q
     115: q
     116: q^2+q
     117: q
     118: 2q^2+q
     119: q
     120: q
     121: q
     122: q^2+q
     123: q
     124: q^2+q
     126: q
     128: q
     130: q^2+q
     132: q^2+q
     135: q^3+q
     136: q^2+q
     138: q
     140: 2q^2+q
     142: q
     145: q
     146: q
     147: q
     148: q^2+q
     149: q
     150: q
     151: q
     152: q
     153: q^2+q
     154: q^2+q
     155: q
     156: q
     157: q
     158: q^2+q
     159: q
     160: q
     161: q
     162: q
     164: q
     166: q^2+q
     168: q
     170: q
     171: q
     172: q^2+q
     174: q
     175: q
     176: q^2+q
     178: q
     179: q
     180: q^2+q
     182: q
     183: q
     184: q^2+q
     185: q
     186: q
     188: q
     190: q^2+q
     192: q
     194: q
     196: q
     198: q
     200: q^2+q
     202: q
     204: q
     206: q
     208: q
     210: q^2+q
     216: q
     217: q
     218: q
     219: q
     220: q
     221: q
     223: q
     224: q
     225: q
     226: q
     228: q
     229: q
     230: q
     231: q
     232: q
     234: q
     236: q^2+q
     238: q
     240: q
     241: q
     242: q
     243: q
     248: q
     249: q
     250: q^2+q
     252: q
     253: q
     254: q^2+q
     262: q
     264: q
     266: q
     268: q
     270: q
     272: q
     274: q
     276: q
     278: q
     280: q
     282: q
     284: q
     286: q
     288: q
     290: q
     292: q^2+q
     297: q
     298: q
     311: q
     312: q
     313: q
     314: q
     315: q
     319: q
     320: q
     321: q
     322: q
     323: q
     333: q
     348: q
     352: q
     354: q
     356: q
     362: q
     366: q
     370: q
     374: q
     382: q
     386: q
     404: q
     405: q
     409: q
     410: q
     446: q
     456: q
     466: q
     482: 1
     531: 1
     577: 1
     581: 1
     617: 1
     623: 1
     665: 1
     703: 1

704:   0: 2q^3+5q^2+3q
       1: 2q^2+3q
       2: 2q^3+5q^2+3q
       3: q^3+3q^2+2q
       4: 2q^3+5q^2+3q
       5: 2q^2+3q
       6: q^2+2q
       7: 2q^2+3q
       8: 2q^3+5q^2+3q
       9: q^2+2q
      10: 2q^2+3q
      11: q^2+2q
      12: 2q^4+4q^3+4q^2+2q
      13: q^2+2q
      15: 2q^2+3q
      16: q^2+2q
      17: 2q^2+3q
      18: q^2+2q
      19: 2q^2+3q
      20: q^2+2q
      21: 2q^2+3q
      23: 2q^3+5q^2+3q
      24: 2q^3+5q^2+3q
      25: q^2+2q
      26: q^2+2q
      27: 2q^2+2q
      28: 2q
      29: 2q
      30: q^3+3q^2+2q
      31: 2q^3+5q^2+3q
      32: 2q^2+3q
      33: 2q^3+5q^2+3q
      34: 2q^2+3q
      35: 2q^3+5q^2+3q
      36: 2q^2+3q
      37: 2q^3+5q^2+3q
      38: 2q^2+3q
      39: q^2+2q
      40: 2q
      41: 2q
      42: 2q^2+3q
      43: 2q^2+3q
      44: 2q^3+5q^2+3q
      45: 2q^2+3q
      46: 2q^2+3q
      47: 2q^3+5q^2+3q
      48: q^3+3q^2+2q
      49: q^3+2q^2+q
      50: q^2+2q
      51: q^2+q
      52: q^3+3q^2+2q
      53: q^3+2q^2+q
      54: q^2+2q
      55: q^2+q
      56: 2q^2+3q
      57: q^2+2q
      58: 2q^2+3q
      60: 2q^2+3q
      61: 2q^2+3q
      62: q^2+2q
      64: 2q^2+2q
      65: 2q
      66: q^3+3q^2+2q
      67: 2q
      68: 2q^2+2q
      69: 2q
      70: q^3+3q^2+2q
      71: 2q
      72: 2q^2+2q
      73: 2q
      74: q^3+3q^2+2q
      75: 2q
      76: q^2+2q
      77: q^2+q
      78: q^2+2q
      79: q^2+q
      80: q^3+3q^2+2q
      81: q^3+2q^2+q
      83: 2q
      84: 2q
      85: 2q
      86: q^2+q
      87: q^2+q
      88: q^2+q
      90: q
      92: q^2+q
      94: q
      96: 2q^2+3q
      97: 2q^2+3q
      98: 2q
      99: 2q
     100: 2q^2+3q
     101: 2q^2+3q
     102: 2q
     103: 2q
     104: 2q^2+3q
     105: 2q^2+3q
     106: q^2+2q
     108: 2q
     109: 2q
     110: q^2+2q
     112: 2q^2+2q
     113: 2q
     114: q^3+3q^2+2q
     115: 2q
     116: 2q^2+2q
     117: 2q
     118: q^3+3q^2+2q
     119: 2q
     120: 2q^2+2q
     121: 2q
     122: q^3+3q^2+2q
     123: 2q
     126: q
     128: q
     130: q^2+2q
     131: q^2+q
     132: q^2+2q
     133: q^2+q
     135: 2q
     136: q^2+q
     138: q
     140: q^2+q
     142: q
     145: 2q
     146: q
     147: q
     148: 2q^2+3q
     149: 2q
     150: 2q
     151: q^2+q
     152: 2q
     153: q^2+q
     154: 2q^2+3q
     155: 2q
     156: 2q
     157: 2q
     158: q^2+q
     159: q^2+q
     160: 2q
     161: 2q
     162: q^2+q
     164: q
     166: q^2+q
     168: q
     170: 2q
     171: 2q
     172: q^2+2q
     174: 2q
     175: 2q
     176: q^2+2q
     178: 2q
     179: 2q
     180: q^2+2q
     182: 2q^2+2q
     183: 2q
     184: q^3+3q^2+2q
     185: 2q
     186: q
     188: q
     194: q
     200: q^2+2q
     201: q^2+q
     202: q
     204: q
     206: q
     208: q
     210: q
     216: 2q
     217: q
     218: q
     219: q
     220: q
     221: 2q
     223: 2q
     224: q
     225: q
     226: 2q
     228: 2q
     229: q
     230: q
     231: 2q
     232: q^2+q
     234: q
     236: q^2+q
     238: q
     240: 2q
     241: q^2+q
     242: q^2+q
     243: 2q
     244: q+1
     246: q+1
     248: 2q
     249: 2q
     250: q^2+2q
     252: 2q
     253: 2q
     254: q^2+2q
     256: 2q
     257: 2q
     258: q^2+2q
     262: q
     264: q
     280: q
     282: q
     286: q
     288: q
     290: q
     292: q
     297: q
     298: q
     301: q+1
     305: q+1
     311: 2q
     312: q
     313: q
     314: q
     315: q
     316: q+1
     319: 2q
     320: q
     321: q
     322: q
     323: q
     324: q+1
     325: q
     327: q
     329: q
     333: 2q
     335: 2q
     336: q
     337: q
     338: 1
     340: 1
     342: 2q
     343: 2q
     344: q^2+2q
     348: q
     368: q+1
     376: q+1
     380: q
     382: q
     389: q+1
     394: 1
     398: 1
     404: q
     405: q
     407: 1
     409: q
     410: q
     412: 1
     413: q
     415: q
     417: q
     423: 2q
     424: q
     425: q
     426: q
     427: q
     428: 1
     430: 1
     432: 1
     434: 1
     439: q+1
     462: 1
     472: 1
     476: q
     487: 1
     489: 1
     493: 1
     499: 1
     503: 1
     509: 1
     513: 1
     515: 1
     519: 1
     522: q
     523: q
     525: 1
     527: 1
     532: 1
     549: 1
     559: 1
     561: 1
     571: 1
     576: 1
     586: 1
     587: 1
     591: 1
     599: 1
     603: 1
     618: 1
     624: 1
     641: 1
     651: 1
     662: 1
     704: 1

705:   0: q^2+2q+1
       1: q+1
       2: q^2+2q+1
       3: q+1
       4: q^2+2q+1
       5: q+1
       6: 1
       7: q+1
       8: q^2+2q+1
       9: 1
      10: q+1
      11: 1
      12: q^3+2q^2+2q+1
      13: 1
      15: q+1
      16: 1
      17: q+1
      18: 1
      19: q+1
      20: 1
      21: q+1
      23: q^2+2q+1
      24: q^2+2q+1
      25: 1
      26: 1
      27: q+1
      28: 1
      29: 1
      30: q^2+2q+1
      31: q^2+2q+1
      32: q+1
      33: q^2+2q+1
      34: q+1
      35: q^2+2q+1
      36: q+1
      37: q^2+2q+1
      38: q+1
      39: 1
      40: 1
      41: 1
      42: q+1
      43: q+1
      44: q^2+2q+1
      45: q+1
      46: q+1
      47: q^2+2q+1
      49: q^2+2q+1
      51: q+1
      53: q^2+2q+1
      55: q+1
      56: q+1
      57: 1
      58: q+1
      60: q+1
      61: q+1
      62: 1
      64: q+1
      65: 1
      66: q^2+2q+1
      67: 1
      68: q+1
      69: 1
      70: q^2+2q+1
      71: 1
      72: q+1
      73: 1
      74: q^2+2q+1
      75: 1
      77: q+1
      79: q+1
      81: q^2+2q+1
      83: 1
      84: 1
      85: 1
      86: q+1
      87: q+1
      89: q+1
      91: 1
      93: q^2+2q+1
      95: 1
      96: q+1
      97: q+1
      98: 1
      99: 1
     100: q+1
     101: q+1
     102: 1
     103: 1
     104: q+1
     105: q+1
     106: 1
     108: 1
     109: 1
     110: q+1
     112: q+1
     113: 1
     114: q^2+2q+1
     115: 1
     116: q+1
     117: 1
     118: q^2+2q+1
     119: 1
     120: q+1
     121: 1
     122: q^2+2q+1
     123: 1
     125: q+1
     127: 1
     129: 1
     131: q+1
     133: q+1
     135: 1
     137: q+1
     139: 1
     141: q^2+2q+1
     143: 1
     145: 1
     146: 1
     147: 1
     148: q+1
     149: 1
     150: 1
     151: q+1
     152: 1
     153: q+1
     154: q+1
     155: 1
     156: 1
     157: 1
     158: q+1
     159: q+1
     160: 1
     161: 1
     163: q+1
     165: 1
     167: q^2+2q+1
     169: 1
     170: 1
     171: 1
     172: q+1
     174: 1
     175: 1
     176: q+1
     178: 1
     179: 1
     180: q+1
     182: q+1
     183: 1
     184: q^2+2q+1
     185: 1
     187: 1
     189: 1
     191: q+1
     193: 1
     195: 1
     197: q+1
     199: q+1
     201: q+1
     203: 1
     205: 1
     207: 1
     209: 1
     211: q+1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     223: 1
     224: 1
     225: 1
     226: 1
     228: 1
     229: 1
     230: 1
     231: 1
     233: q+1
     235: 1
     237: q^2+2q+1
     239: 1
     240: 1
     241: q+1
     242: q+1
     243: 1
     244: q+1
     246: q+1
     248: 1
     249: 1
     250: q+1
     252: 1
     253: 1
     254: q+1
     256: 1
     257: 1
     258: q+1
     263: 1
     265: 1
     267: 1
     269: 1
     271: 1
     273: q+1
     275: 1
     277: q+1
     279: 1
     281: 1
     283: 1
     285: q+1
     287: 1
     289: 1
     291: 1
     293: q+1
     297: 1
     298: 1
     302: q+1
     306: q+1
     311: 1
     312: 1
     313: 1
     314: 1
     315: 1
     316: q+1
     319: 1
     320: 1
     321: 1
     322: 1
     323: 1
     324: q+1
     326: 1
     328: 1
     330: q+1
     333: 1
     335: 1
     336: 1
     337: 1
     338: 1
     340: 1
     342: 1
     343: 1
     344: q+1
     349: 1
     353: 1
     355: 1
     357: 1
     363: 1
     365: 1
     367: 1
     369: q+1
     371: 1
     373: 1
     375: 1
     377: q+1
     381: 1
     383: 1
     385: 1
     387: q+1
     389: q+1
     395: 1
     399: 1
     404: 1
     405: 1
     407: 1
     409: 1
     410: 1
     412: 1
     414: 1
     416: 1
     418: q+1
     423: 1
     424: 1
     425: 1
     426: 1
     427: 1
     428: 1
     430: 1
     432: 1
     434: 1
     440: q+1
     447: 1
     455: 1
     457: 1
     459: 1
     463: 1
     465: 1
     467: 1
     469: 1
     473: 1
     477: 1
     481: 1
     483: 1
     485: 1
     487: 1
     490: 1
     494: 1
     500: 1
     504: 1
     509: 1
     513: 1
     515: 1
     519: 1
     522: 1
     523: 1
     525: 1
     527: 1
     533: 1
     550: 1
     554: 1
     560: 1
     562: 1
     566: 1
     572: 1
     576: 1
     578: 1
     580: 1
     582: 1
     586: 1
     588: 1
     592: 1
     599: 1
     603: 1
     619: 1
     625: 1
     642: 1
     652: 1
     662: 1
     666: 1
     705: 1

706:   0: q^3+2q^2+q
       1: q^4+q^3+q^2+q
       2: q^3+2q^2+q
       3: q^4+q^3+q^2+q
       4: q^3+2q^2+q
       5: q^4+q^3+q^2+q
       6: q^3+q
       7: q^2+q
       8: q^3+2q^2+q
       9: q^3+q
      10: q^2+q
      11: q^3+q
      12: q^4+2q^3+2q^2+q
      13: q^3+q
      15: q^4+q^3+q^2+q
      16: q^3+q
      17: q^2+q
      18: q^3+q
      19: q^3+q^2+q
      20: q^3+q
      21: q^2+q
      23: q^3+2q^2+q
      24: q^3+2q^2+q
      25: q^3+q
      26: q^3+q
      27: q^3+q^2+q
      28: q^3+q
      29: q^3+q
      30: q^3+2q^2+q
      31: 2q^2+q
      32: q^2+q
      33: 2q^2+q
      34: q^2+q
      35: 2q^2+q
      36: q^2+q
      37: 2q^2+q
      38: q^2+q
      39: q^3+q
      40: q^3+q
      41: q^3+q
      42: q^2+q
      43: q^2+q
      44: 2q^2+q
      45: q^2+q
      46: q^2+q
      47: 2q^2+q
      49: 2q^2+q
      51: q^2+q
      53: 2q^2+q
      55: q^2+q
      56: q^3+q^2+q
      57: q^3+q
      58: q^2+q
      60: q^3+q^2+q
      61: q^2+q
      62: q^3+q
      64: q^3+q^2+q
      65: q^3+q
      66: q^3+2q^2+q
      67: q^3+q
      68: q^2+q
      69: q
      70: 2q^2+q
      71: q
      72: q^2+q
      73: q
      74: 2q^2+q
      75: q
      77: q^2+q
      79: q^2+q
      81: 2q^2+q
      83: q^3+q
      84: q^3+q
      85: q^3+q
      86: q^2+q
      87: q^2+q
      89: q^2+q
      91: q
      93: 2q^2+q
      95: q
      96: q^2+q
      97: q^2+q
      98: q
      99: q
     100: q^2+q
     101: q^2+q
     102: q
     103: q
     104: q^3+q^2+q
     105: q^2+q
     106: q^3+q
     108: q
     109: q
     110: q^2+q
     112: q^2+q
     113: q
     114: 2q^2+q
     115: q
     116: q^2+q
     117: q
     118: 2q^2+q
     119: q
     120: q
     121: q
     122: q^2+q
     123: q
     125: q^2+q
     127: q
     129: q
     131: q^2+q
     133: q^2+q
     135: q^3+q
     137: q^2+q
     139: q
     141: 2q^2+q
     143: q
     145: q
     146: q
     147: q
     148: q^2+q
     149: q
     150: q
     151: q
     152: q
     153: q^2+q
     154: q^2+q
     155: q
     156: q
     157: q
     158: q^2+q
     159: q
     160: q
     161: q
     163: q
     165: q
     167: q^2+q
     169: q
     170: q
     171: q
     172: q^2+q
     174: q
     175: q
     176: q^2+q
     178: q
     179: q
     180: q^2+q
     182: q
     183: q
     184: q^2+q
     185: q
     187: q
     189: q
     191: q^2+q
     193: q
     195: q
     197: q
     199: q
     201: q^2+q
     203: q
     205: q
     207: q
     209: q
     211: q^2+q
     216: q
     217: q
     218: q
     219: q
     220: q
     221: q
     223: q
     224: q
     225: q
     226: q
     228: q
     229: q
     230: q
     231: q
     233: q
     235: q
     237: q^2+q
     239: q
     240: q
     241: q
     242: q
     243: q
     248: q
     249: q
     250: q^2+q
     252: q
     253: q
     254: q^2+q
     263: q
     265: q
     267: q
     269: q
     271: q
     273: q
     275: q
     277: q
     279: q
     281: q
     283: q
     285: q
     287: q
     289: q
     291: q
     293: q^2+q
     297: q
     298: q
     311: q
     312: q
     313: q
     314: q
     315: q
     319: q
     320: q
     321: q
     322: q
     323: q
     333: q
     349: q
     353: q
     355: q
     357: q
     363: q
     367: q
     371: q
     375: q
     383: q
     387: q
     404: q
     405: q
     409: q
     410: q
     447: q
     457: q
     467: q
     483: 1
     534: 1
     578: 1
     582: 1
     620: 1
     626: 1
     666: 1
     706: 1

707:   0: 1
       1: 1
       2: 1
       3: q+1
       4: 1
       5: 1
       6: q+1
       7: 1
       8: 1
       9: q+1
      10: 1
      11: q+1
      13: q+1
      14: q+1
      15: 1
      16: q+1
      17: 1
      18: q+1
      19: 1
      20: q+1
      21: 1
      22: q+1
      23: 1
      24: 1
      25: q+1
      26: q+1
      27: 1
      28: 1
      29: 1
      31: 1
      32: 1
      33: 1
      34: 1
      35: 1
      36: 1
      37: 1
      38: 1
      39: q+1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      48: 1
      50: 1
      52: 1
      54: 1
      56: 1
      57: q+1
      58: 1
      59: q+1
      60: 1
      61: 1
      62: q+1
      63: q+1
      64: 1
      65: 1
      67: 1
      68: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: 1
      76: 1
      78: 1
      80: 1
      82: q+1
      83: 1
      84: 1
      85: 1
      88: 1
      90: 1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: q+1
     107: q+1
     108: 1
     109: 1
     111: 1
     112: 1
     113: 1
     115: 1
     116: 1
     117: 1
     119: 1
     120: 1
     121: 1
     123: 1
     126: 1
     128: 1
     130: 1
     132: 1
     134: q+1
     135: 1
     136: 1
     138: 1
     142: 1
     144: 1
     145: 1
     148: 1
     149: 1
     150: 1
     152: 1
     154: 1
     155: 1
     156: 1
     157: 1
     160: 1
     161: 1
     162: 1
     164: 1
     168: 1
     170: 1
     171: 1
     173: 1
     174: 1
     175: 1
     177: 1
     178: 1
     179: 1
     181: 1
     182: 1
     183: 1
     185: 1
     186: 1
     188: 1
     194: 1
     200: 1
     202: 1
     204: 1
     206: 1
     208: 1
     212: 1
     214: 1
     215: 1
     216: 1
     221: 1
     222: 1
     223: 1
     226: 1
     227: 1
     228: 1
     231: 1
     232: 1
     234: 1
     238: 1
     240: 1
     243: 1
     245: 1
     247: 1
     248: 1
     249: 1
     251: 1
     252: 1
     253: 1
     255: 1
     256: 1
     257: 1
     259: 1
     260: 1
     262: 1
     264: 1
     280: 1
     282: 1
     286: 1
     288: 1
     290: 1
     294: 1
     296: 1
     300: 1
     303: 1
     307: 1
     309: 1
     310: 1
     311: 1
     317: 1
     318: 1
     319: 1
     325: 1
     327: 1
     331: 1
     333: 1
     334: 1
     335: 1
     339: 1
     341: 1
     342: 1
     343: 1
     345: 1
     346: 1
     348: 1
     350: 1
     360: 1
     378: 1
     380: 1
     382: 1
     393: 1
     396: 1
     400: 1
     403: 1
     408: 1
     413: 1
     415: 1
     419: 1
     421: 1
     422: 1
     423: 1
     429: 1
     431: 1
     433: 1
     435: 1
     442: 1
     452: 1
     474: 1
     476: 1
     478: 1
     488: 1
     491: 1
     495: 1
     501: 1
     505: 1
     507: 1
     521: 1
     526: 1
     528: 1
     535: 1
     545: 1
     573: 1
     589: 1
     593: 1
     595: 1
     612: 1
     614: 1
     627: 1
     675: 1
     679: 1
     681: 1
     707: 1

708:   0: 1
       1: 1
       2: 1
       3: q+1
       4: 1
       5: 1
       6: q+1
       7: 1
       8: 1
       9: q+1
      10: 1
      11: q+1
      13: q+1
      14: q+1
      15: 1
      16: q+1
      17: 1
      18: q+1
      19: 1
      20: q+1
      21: 1
      22: q+1
      23: 1
      24: 1
      25: q+1
      26: q+1
      27: 1
      28: 1
      29: 1
      31: 1
      32: 1
      33: 1
      34: 1
      35: 1
      36: 1
      37: 1
      38: 1
      39: q+1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      49: 1
      51: 1
      53: 1
      55: 1
      56: 1
      57: q+1
      58: 1
      59: q+1
      60: 1
      61: 1
      62: q+1
      63: q+1
      64: 1
      65: 1
      67: 1
      68: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: 1
      77: 1
      79: 1
      81: 1
      82: q+1
      83: 1
      84: 1
      85: 1
      89: 1
      91: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: q+1
     107: q+1
     108: 1
     109: 1
     111: 1
     112: 1
     113: 1
     115: 1
     116: 1
     117: 1
     119: 1
     120: 1
     121: 1
     123: 1
     127: 1
     129: 1
     131: 1
     133: 1
     134: q+1
     135: 1
     137: 1
     139: 1
     143: 1
     144: 1
     145: 1
     148: 1
     149: 1
     150: 1
     152: 1
     154: 1
     155: 1
     156: 1
     157: 1
     160: 1
     161: 1
     163: 1
     165: 1
     169: 1
     170: 1
     171: 1
     173: 1
     174: 1
     175: 1
     177: 1
     178: 1
     179: 1
     181: 1
     182: 1
     183: 1
     185: 1
     187: 1
     189: 1
     195: 1
     201: 1
     203: 1
     205: 1
     207: 1
     209: 1
     213: 1
     214: 1
     215: 1
     216: 1
     221: 1
     222: 1
     223: 1
     226: 1
     227: 1
     228: 1
     231: 1
     233: 1
     235: 1
     239: 1
     240: 1
     243: 1
     245: 1
     247: 1
     248: 1
     249: 1
     251: 1
     252: 1
     253: 1
     255: 1
     256: 1
     257: 1
     259: 1
     261: 1
     263: 1
     265: 1
     281: 1
     283: 1
     287: 1
     289: 1
     291: 1
     295: 1
     296: 1
     300: 1
     304: 1
     308: 1
     309: 1
     310: 1
     311: 1
     317: 1
     318: 1
     319: 1
     326: 1
     328: 1
     332: 1
     333: 1
     334: 1
     335: 1
     339: 1
     341: 1
     342: 1
     343: 1
     345: 1
     347: 1
     349: 1
     351: 1
     361: 1
     379: 1
     381: 1
     383: 1
     393: 1
     397: 1
     401: 1
     403: 1
     408: 1
     414: 1
     416: 1
     420: 1
     421: 1
     422: 1
     423: 1
     429: 1
     431: 1
     433: 1
     435: 1
     443: 1
     453: 1
     475: 1
     477: 1
     479: 1
     488: 1
     492: 1
     496: 1
     502: 1
     506: 1
     507: 1
     521: 1
     526: 1
     528: 1
     536: 1
     546: 1
     574: 1
     590: 1
     594: 1
     595: 1
     612: 1
     614: 1
     628: 1
     676: 1
     680: 1
     681: 1
     708: 1

709:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^3+2q^2+2q+1
       3: q^2+2q+1
       4: q+1
       5: q^2+2q+1
       6: q^2+2q+1
       7: q+1
       8: q^2+q+1
       9: q^2+2q+1
      10: q+1
      11: q+1
      12: q^2+q+1
      13: q+1
      14: q+1
      15: q^2+2q+1
      16: q^2+2q+1
      17: q+1
      18: q+1
      19: q^2+2q+1
      20: q^2+2q+1
      21: q+1
      22: q+1
      23: q^2+2q+1
      24: q+1
      25: q+1
      26: q+1
      27: q^2+2q+1
      28: q^2+2q+1
      29: q^2+2q+1
      30: q^2+q+1
      31: q+1
      32: q+1
      33: q^2+q+1
      34: q+1
      35: q+1
      36: q+1
      37: q^2+q+1
      38: q+1
      39: q+1
      40: q^2+2q+1
      41: q^2+2q+1
      42: q+1
      43: q+1
      44: q+1
      45: q+1
      46: q+1
      47: q+1
      48: q+1
      50: q+1
      52: q^2+q+1
      54: q+1
      56: q^2+2q+1
      57: q^2+2q+1
      58: q+1
      59: q+1
      60: q^2+2q+1
      61: q+1
      62: q+1
      63: q+1
      64: q^2+2q+1
      65: q+1
      66: q+1
      67: q+1
      68: q+1
      69: q+1
      70: q^2+q+1
      71: q+1
      72: q+1
      73: q+1
      74: q^2+q+1
      75: q+1
      76: q+1
      78: q+1
      80: q+1
      82: q+1
      83: q+1
      84: q^2+2q+1
      85: q+1
      86: q+1
      87: q+1
      88: q+1
      90: q+1
      92: q^2+q+1
      94: q+1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     100: q+1
     101: q+1
     102: q+1
     103: q+1
     104: q^2+2q+1
     105: q+1
     106: q+1
     107: q+1
     108: q^2+2q+1
     109: q+1
     110: q+1
     111: q+1
     112: q+1
     113: 1
     114: q+1
     115: 1
     116: q+1
     117: 1
     118: q+1
     119: 1
     120: q+1
     121: q+1
     123: q+1
     124: q+1
     126: q+1
     128: q+1
     130: q+1
     132: q+1
     134: q+1
     135: q+1
     136: q+1
     138: 1
     140: q+1
     142: 1
     144: q+1
     145: q+1
     146: q+1
     147: q+1
     148: q+1
     149: 1
     150: 1
     152: q+1
     153: q+1
     154: q+1
     155: 1
     156: 1
     157: q+1
     158: q+1
     160: q+1
     161: q+1
     162: q+1
     164: q+1
     168: q+1
     170: q^2+2q+1
     171: q+1
     172: q+1
     173: q+1
     174: q+1
     175: 1
     176: q+1
     177: 1
     178: q+1
     179: 1
     180: q+1
     181: 1
     182: q+1
     183: 1
     185: 1
     186: 1
     188: 1
     190: q+1
     192: q+1
     194: q+1
     200: q+1
     202: q+1
     204: q+1
     206: q+1
     208: 1
     210: q+1
     212: 1
     214: q+1
     215: q+1
     216: q+1
     217: q+1
     218: 1
     219: q+1
     220: 1
     221: 1
     222: 1
     223: 1
     225: q+1
     226: 1
     227: 1
     228: 1
     229: q+1
     231: 1
     232: q+1
     234: 1
     238: 1
     240: 1
     243: q+1
     244: q+1
     245: 1
     247: 1
     248: q+1
     249: 1
     250: q+1
     251: 1
     252: q+1
     253: 1
     254: q+1
     255: 1
     256: q+1
     257: 1
     259: 1
     260: 1
     262: 1
     264: 1
     266: q+1
     268: 1
     270: q+1
     280: 1
     282: 1
     286: q+1
     288: q+1
     290: 1
     292: q+1
     294: 1
     296: q+1
     297: 1
     298: 1
     299: 1
     300: 1
     301: q+1
     303: 1
     307: 1
     309: 1
     310: 1
     311: 1
     314: q+1
     315: 1
     317: 1
     318: 1
     319: 1
     320: q+1
     321: 1
     325: q+1
     327: 1
     331: 1
     333: 1
     334: 1
     335: 1
     338: q+1
     339: 1
     341: 1
     342: q+1
     343: 1
     345: 1
     346: 1
     348: 1
     350: 1
     352: q+1
     354: 1
     356: 1
     358: 1
     360: 1
     378: 1
     380: 1
     382: 1
     390: 1
     391: 1
     392: 1
     393: 1
     394: q+1
     396: 1
     400: 1
     402: 1
     403: 1
     405: 1
     408: 1
     409: 1
     413: q+1
     415: 1
     419: 1
     421: 1
     422: 1
     423: 1
     428: 1
     429: 1
     432: q+1
     433: 1
     435: 1
     442: 1
     444: 1
     446: 1
     448: 1
     450: 1
     452: 1
     474: 1
     476: 1
     478: 1
     489: 1
     491: 1
     497: 1
     498: 1
     499: q+1
     501: 1
     505: 1
     507: 1
     508: 1
     511: 1
     516: 1
     521: 1
     525: 1
     526: 1
     537: 1
     539: 1
     541: 1
     543: 1
     545: 1
     573: 1
     587: 1
     589: 1
     597: 1
     598: 1
     611: 1
     612: 1
     631: 1
     633: 1
     673: 1
     675: 1
     682: 1
     709: 1

710:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^3+2q^2+2q+1
       3: q^2+2q+1
       4: q+1
       5: q^2+2q+1
       6: q^2+2q+1
       7: q+1
       8: q^2+q+1
       9: q^2+2q+1
      10: q+1
      11: q+1
      12: q^2+q+1
      13: q+1
      14: q+1
      15: q^2+2q+1
      16: q^2+2q+1
      17: q+1
      18: q+1
      19: q^2+2q+1
      20: q^2+2q+1
      21: q+1
      22: q+1
      23: q^2+2q+1
      24: q+1
      25: q+1
      26: q+1
      27: q^2+2q+1
      28: q^2+2q+1
      29: q^2+2q+1
      30: q^2+q+1
      31: q+1
      32: q+1
      33: q^2+q+1
      34: q+1
      35: q+1
      36: q+1
      37: q^2+q+1
      38: q+1
      39: q+1
      40: q^2+2q+1
      41: q^2+2q+1
      42: q+1
      43: q+1
      44: q+1
      45: q+1
      46: q+1
      47: q+1
      49: q+1
      51: q+1
      53: q^2+q+1
      55: q+1
      56: q^2+2q+1
      57: q^2+2q+1
      58: q+1
      59: q+1
      60: q^2+2q+1
      61: q+1
      62: q+1
      63: q+1
      64: q^2+2q+1
      65: q+1
      66: q+1
      67: q+1
      68: q+1
      69: q+1
      70: q^2+q+1
      71: q+1
      72: q+1
      73: q+1
      74: q^2+q+1
      75: q+1
      77: q+1
      79: q+1
      81: q+1
      82: q+1
      83: q+1
      84: q^2+2q+1
      85: q+1
      86: q+1
      87: q+1
      89: q+1
      91: q+1
      93: q^2+q+1
      95: q+1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     100: q+1
     101: q+1
     102: q+1
     103: q+1
     104: q^2+2q+1
     105: q+1
     106: q+1
     107: q+1
     108: q^2+2q+1
     109: q+1
     110: q+1
     111: q+1
     112: q+1
     113: 1
     114: q+1
     115: 1
     116: q+1
     117: 1
     118: q+1
     119: 1
     120: q+1
     121: q+1
     123: q+1
     125: q+1
     127: q+1
     129: q+1
     131: q+1
     133: q+1
     134: q+1
     135: q+1
     137: q+1
     139: 1
     141: q+1
     143: 1
     144: q+1
     145: q+1
     146: q+1
     147: q+1
     148: q+1
     149: 1
     150: 1
     152: q+1
     153: q+1
     154: q+1
     155: 1
     156: 1
     157: q+1
     158: q+1
     160: q+1
     161: q+1
     163: q+1
     165: q+1
     169: q+1
     170: q^2+2q+1
     171: q+1
     172: q+1
     173: q+1
     174: q+1
     175: 1
     176: q+1
     177: 1
     178: q+1
     179: 1
     180: q+1
     181: 1
     182: q+1
     183: 1
     185: 1
     187: 1
     189: 1
     191: q+1
     193: q+1
     195: q+1
     201: q+1
     203: q+1
     205: q+1
     207: q+1
     209: 1
     211: q+1
     213: 1
     214: q+1
     215: q+1
     216: q+1
     217: q+1
     218: 1
     219: q+1
     220: 1
     221: 1
     222: 1
     223: 1
     225: q+1
     226: 1
     227: 1
     228: 1
     229: q+1
     231: 1
     233: q+1
     235: 1
     239: 1
     240: 1
     243: q+1
     244: q+1
     245: 1
     247: 1
     248: q+1
     249: 1
     250: q+1
     251: 1
     252: q+1
     253: 1
     254: q+1
     255: 1
     256: q+1
     257: 1
     259: 1
     261: 1
     263: 1
     265: 1
     267: q+1
     269: 1
     271: q+1
     281: 1
     283: 1
     287: q+1
     289: q+1
     291: 1
     293: q+1
     295: 1
     296: q+1
     297: 1
     298: 1
     299: 1
     300: 1
     302: q+1
     304: 1
     308: 1
     309: 1
     310: 1
     311: 1
     314: q+1
     315: 1
     317: 1
     318: 1
     319: 1
     320: q+1
     321: 1
     326: q+1
     328: 1
     332: 1
     333: 1
     334: 1
     335: 1
     338: q+1
     339: 1
     341: 1
     342: q+1
     343: 1
     345: 1
     347: 1
     349: 1
     351: 1
     353: q+1
     355: 1
     357: 1
     359: 1
     361: 1
     379: 1
     381: 1
     383: 1
     390: 1
     391: 1
     392: 1
     393: 1
     395: q+1
     397: 1
     401: 1
     402: 1
     403: 1
     405: 1
     408: 1
     409: 1
     414: q+1
     416: 1
     420: 1
     421: 1
     422: 1
     423: 1
     428: 1
     429: 1
     432: q+1
     433: 1
     435: 1
     443: 1
     445: 1
     447: 1
     449: 1
     451: 1
     453: 1
     475: 1
     477: 1
     479: 1
     490: 1
     492: 1
     497: 1
     498: 1
     500: q+1
     502: 1
     506: 1
     507: 1
     508: 1
     511: 1
     516: 1
     521: 1
     525: 1
     526: 1
     538: 1
     540: 1
     542: 1
     544: 1
     546: 1
     574: 1
     588: 1
     590: 1
     597: 1
     598: 1
     611: 1
     612: 1
     632: 1
     634: 1
     674: 1
     676: 1
     682: 1
     710: 1

711:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q+1
       5: q^2+2q+1
       6: q^2+2q+1
       7: q^3+q^2+q+1
       8: q+1
       9: q^2+2q+1
      10: q^3+q^2+q+1
      11: q^2+2q+1
      12: q+1
      13: q^2+2q+1
      14: q^3+q^2+q+1
      15: q^2+2q+1
      16: q^2+2q+1
      17: q^3+q^2+q+1
      18: q^2+2q+1
      19: 2q+1
      20: 2q+1
      21: q+1
      22: q^2+q+1
      23: q^2+2q+1
      24: q+1
      25: q^2+2q+1
      26: q^2+2q+1
      27: q^2+2q+1
      28: q^2+2q+1
      29: q^2+2q+1
      30: q+1
      31: q+1
      32: q^2+q+1
      33: q+1
      34: q^2+q+1
      35: q+1
      36: q^2+q+1
      37: q+1
      38: q^2+q+1
      39: q^2+2q+1
      40: q^2+2q+1
      41: 2q+1
      42: q^2+q+1
      43: q+1
      44: q+1
      45: q^2+q+1
      46: q+1
      47: q+1
      48: q+1
      50: q^2+q+1
      52: q+1
      54: q^2+q+1
      56: 2q+1
      57: 2q+1
      58: q+1
      59: q^2+q+1
      60: 2q+1
      61: q+1
      62: 2q+1
      63: q^2+q+1
      64: q^2+2q+1
      65: q^2+2q+1
      66: q+1
      67: q^2+2q+1
      68: q+1
      69: q^2+q+1
      70: q+1
      71: q^2+q+1
      72: q+1
      73: q^2+q+1
      74: q+1
      75: q^2+q+1
      76: q^2+q+1
      78: q+1
      80: q+1
      82: q+1
      83: 2q+1
      84: 2q+1
      85: q^2+2q+1
      86: q+1
      87: q+1
      88: q+1
      90: q^2+q+1
      92: q+1
      94: q^2+q+1
      96: q+1
      97: q+1
      98: q^2+q+1
      99: q+1
     100: q+1
     101: q+1
     102: q^2+q+1
     103: q+1
     104: 2q+1
     105: q+1
     106: 2q+1
     107: q^2+q+1
     108: 2q+1
     109: 2q+1
     110: q+1
     111: q^2+q+1
     112: q+1
     113: q^2+q+1
     114: q+1
     115: q^2+q+1
     116: q+1
     117: q^2+q+1
     118: q+1
     119: q^2+q+1
     120: q+1
     121: q+1
     123: q+1
     124: q+1
     126: q^2+q+1
     128: q+1
     130: q+1
     132: q+1
     134: q+1
     135: 2q+1
     136: q+1
     138: q^2+q+1
     140: q+1
     142: q^2+q+1
     144: q+1
     145: 2q+1
     146: q+1
     147: q+1
     148: q+1
     149: q+1
     150: q^2+q+1
     152: q+1
     153: q+1
     154: q+1
     155: q+1
     156: q^2+q+1
     157: q+1
     158: q+1
     160: q+1
     161: q+1
     162: q+1
     164: q+1
     168: q+1
     170: 2q+1
     171: 2q+1
     172: q+1
     173: q^2+q+1
     174: 1
     175: 1
     176: 1
     177: q^2+1
     178: 1
     179: 1
     180: 1
     181: q^2+1
     182: q+1
     183: q+1
     185: q+1
     186: q+1
     188: q^2+q+1
     190: q+1
     192: q+1
     194: q+1
     200: q+1
     202: q+1
     204: q+1
     206: 1
     208: 1
     210: 1
     212: q^2+1
     214: q+1
     215: q+1
     216: 2q+1
     217: q+1
     218: q+1
     219: q+1
     220: q+1
     221: q+1
     222: 1
     223: 1
     225: 1
     226: q+1
     227: 1
     228: 1
     229: 1
     231: q+1
     232: q+1
     234: q+1
     238: q+1
     240: q+1
     243: q+1
     244: q+1
     245: q+1
     247: q+1
     248: 1
     249: 1
     250: 1
     251: q^2+1
     252: 1
     253: 1
     254: 1
     255: q^2+1
     256: 1
     257: 1
     259: 1
     260: 1
     262: 1
     264: q+1
     266: 1
     268: q+1
     270: q+1
     280: q+1
     282: q+1
     286: q+1
     288: 1
     290: 1
     292: 1
     294: q^2+1
     296: q+1
     297: q+1
     298: q+1
     299: q+1
     300: q+1
     301: q+1
     303: q+1
     307: q+1
     309: 1
     310: 1
     311: 1
     314: 1
     315: 1
     317: 1
     318: 1
     319: 1
     320: 1
     321: 1
     325: 1
     327: 1
     331: 1
     333: q+1
     334: 1
     335: 1
     338: 1
     339: 1
     341: 1
     342: 1
     343: 1
     345: 1
     346: 1
     348: 1
     350: 1
     352: 1
     354: 1
     356: q+1
     358: q+1
     360: q+1
     378: 1
     380: 1
     382: q+1
     390: 1
     391: 1
     392: q+1
     393: 1
     394: 1
     396: 1
     400: 1
     402: 1
     403: 1
     405: 1
     408: 1
     409: 1
     413: 1
     415: 1
     419: 1
     421: 1
     422: 1
     423: 1
     428: 1
     429: 1
     431: 1
     432: 1
     433: 1
     435: 1
     442: 1
     444: 1
     446: 1
     448: 1
     450: q+1
     452: 1
     474: 1
     476: 1
     478: 1
     488: 1
     489: 1
     491: 1
     495: 1
     497: 1
     498: 1
     499: 1
     501: 1
     505: 1
     507: 1
     508: 1
     511: 1
     516: 1
     521: 1
     525: 1
     526: 1
     528: 1
     535: 1
     537: 1
     539: 1
     541: 1
     543: 1
     545: 1
     573: 1
     587: 1
     589: 1
     593: 1
     595: 1
     596: 1
     597: 1
     598: 1
     627: 1
     629: 1
     631: 1
     633: 1
     683: 1
     711: 1

712:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q+1
       5: q^2+2q+1
       6: q^2+2q+1
       7: q^3+q^2+q+1
       8: q+1
       9: q^2+2q+1
      10: q^3+q^2+q+1
      11: q^2+2q+1
      12: q+1
      13: q^2+2q+1
      14: q^3+q^2+q+1
      15: q^2+2q+1
      16: q^2+2q+1
      17: q^3+q^2+q+1
      18: q^2+2q+1
      19: 2q+1
      20: 2q+1
      21: q+1
      22: q^2+q+1
      23: q^2+2q+1
      24: q+1
      25: q^2+2q+1
      26: q^2+2q+1
      27: q^2+2q+1
      28: q^2+2q+1
      29: q^2+2q+1
      30: q+1
      31: q+1
      32: q^2+q+1
      33: q+1
      34: q^2+q+1
      35: q+1
      36: q^2+q+1
      37: q+1
      38: q^2+q+1
      39: q^2+2q+1
      40: q^2+2q+1
      41: 2q+1
      42: q^2+q+1
      43: q+1
      44: q+1
      45: q^2+q+1
      46: q+1
      47: q+1
      49: q+1
      51: q^2+q+1
      53: q+1
      55: q^2+q+1
      56: 2q+1
      57: 2q+1
      58: q+1
      59: q^2+q+1
      60: 2q+1
      61: q+1
      62: 2q+1
      63: q^2+q+1
      64: q^2+2q+1
      65: q^2+2q+1
      66: q+1
      67: q^2+2q+1
      68: q+1
      69: q^2+q+1
      70: q+1
      71: q^2+q+1
      72: q+1
      73: q^2+q+1
      74: q+1
      75: q^2+q+1
      77: q^2+q+1
      79: q+1
      81: q+1
      82: q+1
      83: 2q+1
      84: 2q+1
      85: q^2+2q+1
      86: q+1
      87: q+1
      89: q+1
      91: q^2+q+1
      93: q+1
      95: q^2+q+1
      96: q+1
      97: q+1
      98: q^2+q+1
      99: q+1
     100: q+1
     101: q+1
     102: q^2+q+1
     103: q+1
     104: 2q+1
     105: q+1
     106: 2q+1
     107: q^2+q+1
     108: 2q+1
     109: 2q+1
     110: q+1
     111: q^2+q+1
     112: q+1
     113: q^2+q+1
     114: q+1
     115: q^2+q+1
     116: q+1
     117: q^2+q+1
     118: q+1
     119: q^2+q+1
     120: q+1
     121: q+1
     123: q+1
     125: q+1
     127: q^2+q+1
     129: q+1
     131: q+1
     133: q+1
     134: q+1
     135: 2q+1
     137: q+1
     139: q^2+q+1
     141: q+1
     143: q^2+q+1
     144: q+1
     145: 2q+1
     146: q+1
     147: q+1
     148: q+1
     149: q+1
     150: q^2+q+1
     152: q+1
     153: q+1
     154: q+1
     155: q+1
     156: q^2+q+1
     157: q+1
     158: q+1
     160: q+1
     161: q+1
     163: q+1
     165: q+1
     169: q+1
     170: 2q+1
     171: 2q+1
     172: q+1
     173: q^2+q+1
     174: 1
     175: 1
     176: 1
     177: q^2+1
     178: 1
     179: 1
     180: 1
     181: q^2+1
     182: q+1
     183: q+1
     185: q+1
     187: q+1
     189: q^2+q+1
     191: q+1
     193: q+1
     195: q+1
     201: q+1
     203: q+1
     205: q+1
     207: 1
     209: 1
     211: 1
     213: q^2+1
     214: q+1
     215: q+1
     216: 2q+1
     217: q+1
     218: q+1
     219: q+1
     220: q+1
     221: q+1
     222: 1
     223: 1
     225: 1
     226: q+1
     227: 1
     228: 1
     229: 1
     231: q+1
     233: q+1
     235: q+1
     239: q+1
     240: q+1
     243: q+1
     244: q+1
     245: q+1
     247: q+1
     248: 1
     249: 1
     250: 1
     251: q^2+1
     252: 1
     253: 1
     254: 1
     255: q^2+1
     256: 1
     257: 1
     259: 1
     261: 1
     263: 1
     265: q+1
     267: 1
     269: q+1
     271: q+1
     281: q+1
     283: q+1
     287: q+1
     289: 1
     291: 1
     293: 1
     295: q^2+1
     296: q+1
     297: q+1
     298: q+1
     299: q+1
     300: q+1
     302: q+1
     304: q+1
     308: q+1
     309: 1
     310: 1
     311: 1
     314: 1
     315: 1
     317: 1
     318: 1
     319: 1
     320: 1
     321: 1
     326: 1
     328: 1
     332: 1
     333: q+1
     334: 1
     335: 1
     338: 1
     339: 1
     341: 1
     342: 1
     343: 1
     345: 1
     347: 1
     349: 1
     351: 1
     353: 1
     355: 1
     357: q+1
     359: q+1
     361: q+1
     379: 1
     381: 1
     383: q+1
     390: 1
     391: 1
     392: q+1
     393: 1
     395: 1
     397: 1
     401: 1
     402: 1
     403: 1
     405: 1
     408: 1
     409: 1
     414: 1
     416: 1
     420: 1
     421: 1
     422: 1
     423: 1
     428: 1
     429: 1
     431: 1
     432: 1
     433: 1
     435: 1
     443: 1
     445: 1
     447: 1
     449: 1
     451: q+1
     453: 1
     475: 1
     477: 1
     479: 1
     488: 1
     490: 1
     492: 1
     496: 1
     497: 1
     498: 1
     500: 1
     502: 1
     506: 1
     507: 1
     508: 1
     511: 1
     516: 1
     521: 1
     525: 1
     526: 1
     528: 1
     536: 1
     538: 1
     540: 1
     542: 1
     544: 1
     546: 1
     574: 1
     588: 1
     590: 1
     594: 1
     595: 1
     596: 1
     597: 1
     598: 1
     628: 1
     630: 1
     632: 1
     634: 1
     683: 1
     712: 1

713:   0: q^3+4q^2+6q+1
       1: q^3+4q^2+6q+1
       2: 5q^2+6q+1
       3: q^3+4q^2+6q+1
       4: 5q^2+6q+1
       5: q^3+2q^2+4q+1
       6: q^3+4q^2+6q+1
       7: 5q^2+6q+1
       8: q^3+6q^2+6q+1
       9: q^3+2q^2+4q+1
      10: q^4+q^3+3q^2+4q+1
      11: q^4+3q^3+4q^2+3q+1
      12: q^3+6q^2+6q+1
      13: q^3+2q^2+2q+1
      14: q^3+2q^2+2q+1
      15: 2q^2+4q+1
      16: 2q^2+4q+1
      17: 3q^2+4q+1
      18: q^3+2q^2+2q+1
      19: q^3+4q^2+6q+1
      20: q^3+4q^2+6q+1
      21: 5q^2+6q+1
      22: q^3+2q^2+2q+1
      23: 2q^2+6q+1
      24: 3q^2+6q+1
      25: q^3+4q^2+3q+1
      26: 2q^2+2q+1
      27: q^3+4q^2+6q+1
      28: q^3+4q^2+6q+1
      29: q^3+2q^2+4q+1
      30: q^3+6q^2+6q+1
      31: 2q^2+6q+1
      32: 2q^2+6q+1
      33: 3q^2+6q+1
      34: q^3+q^2+4q+1
      35: 2q^2+6q+1
      36: 2q^2+6q+1
      37: 3q^2+6q+1
      38: q^3+q^2+4q+1
      39: 2q^2+2q+1
      40: 2q^2+4q+1
      41: q^3+4q^2+6q+1
      42: q^2+4q+1
      43: 2q^2+6q+1
      44: q^2+6q+1
      45: q^2+4q+1
      46: 2q^2+6q+1
      47: q^2+6q+1
      48: 4q+1
      49: 2q
      50: 4q+1
      51: 2q
      52: q^2+4q+1
      53: 2q
      54: 3q+1
      55: q^3+q
      56: 2q^2+4q+1
      57: 2q^2+4q+1
      58: 3q^2+4q+1
      59: q^3+2q^2+2q+1
      60: 2q^2+6q+1
      61: 3q^2+6q+1
      62: q^3+4q^2+3q+1
      63: 2q^2+2q+1
      64: 2q^2+6q+1
      65: q^3+4q^2+3q+1
      66: 3q^2+6q+1
      67: 2q^2+2q+1
      68: 2q^2+6q+1
      69: 2q^2+6q+1
      70: 3q^2+6q+1
      71: q^3+q^2+4q+1
      72: 2q^2+6q+1
      73: 2q^2+6q+1
      74: 3q^2+6q+1
      75: q^3+q^2+4q+1
      76: 3q+1
      77: q
      78: 4q+1
      79: 2q
      80: 4q+1
      81: 2q
      82: 2q^2+2q+1
      83: 2q^2+3q+1
      84: 2q^2+4q+1
      85: 2q^2+2q+1
      86: q^2+6q+1
      87: q^2+6q+1
      88: 4q+1
      89: 2q
      90: 4q+1
      91: 2q
      92: q^2+4q+1
      93: 2q
      94: 3q+1
      95: q^3+q
      96: q^2+4q+1
      97: q^2+6q+1
      98: q^2+4q+1
      99: 2q^2+6q+1
     100: q^2+4q+1
     101: q^2+6q+1
     102: q^2+4q+1
     103: 2q^2+6q+1
     104: 4q+1
     105: q^2+4q+1
     106: q^2+2q+1
     107: q^2+2q+1
     108: 2q^2+6q+1
     109: q^3+4q^2+3q+1
     110: 3q^2+6q+1
     111: 2q^2+2q+1
     112: q^2+5q+1
     113: 2q^2+3q+1
     114: q^2+5q+1
     115: q^2+2q+1
     116: q^2+5q+1
     117: 2q^2+3q+1
     118: q^2+5q+1
     119: q^2+2q+1
     120: 5q+1
     121: 5q+1
     122: q^2+6q+1
     123: 3q+1
     124: 4q+1
     125: 2q
     126: 3q+1
     127: q
     128: 4q+1
     129: 2q
     130: 3q+1
     131: q
     132: 4q+1
     133: 2q
     134: q^2+2q+1
     135: 2q+1
     136: 2q+1
     138: q+1
     140: 2q+1
     142: q+1
     144: 2q^2+2q+1
     145: 2q^2+3q+1
     146: q^2+6q+1
     147: q^2+6q+1
     148: 4q+1
     149: q^2+3q+1
     150: q^2+2q+1
     151: 3q+1
     152: q^2+4q+1
     153: q^2+5q+1
     154: 4q+1
     155: q^2+3q+1
     156: q^2+2q+1
     157: q^2+4q+1
     158: q^2+5q+1
     159: 3q+1
     160: 3q+1
     161: 5q+1
     162: 3q+1
     163: 2q
     164: 3q+1
     165: 2q
     166: q^2+4q+1
     167: 2q
     168: 2q+1
     169: q
     170: 4q+1
     171: q^2+2q+1
     172: q^2+4q+1
     173: q^2+2q+1
     174: q^2+5q+1
     175: 2q^2+3q+1
     176: q^2+5q+1
     177: q^2+2q+1
     178: q^2+5q+1
     179: 2q^2+3q+1
     180: q^2+5q+1
     181: q^2+2q+1
     182: 2q+1
     183: 2q+1
     184: 3q+1
     185: q+1
     186: q+1
     188: q+1
     190: 2q+1
     192: 4q+1
     193: 2q
     194: 3q+1
     195: q
     196: 2q+1
     197: q
     198: 2q+1
     199: q
     200: 3q+1
     201: q
     202: 2q+1
     203: q
     204: 3q+1
     205: 2q
     206: 2q+1
     208: q+1
     210: 2q+1
     212: q+1
     214: 2q+1
     215: q^2+2q+1
     216: 2q+1
     217: 4q+1
     218: q^2+3q+1
     219: 4q+1
     220: q^2+3q+1
     221: 2q+1
     222: q^2+2q+1
     223: q^2+3q+1
     224: 3q+1
     225: q^2+5q+1
     226: 2q+1
     227: q^2+2q+1
     228: q^2+3q+1
     229: q^2+5q+1
     230: 3q+1
     231: 2q+1
     232: 1
     234: 1
     236: q+1
     238: 1
     240: q+1
     241: q+1
     242: q+1
     243: 3q+1
     244: 2q+1
     245: 2q+1
     246: 3q+1
     247: q+1
     248: 2q+1
     249: q+1
     250: 2q+1
     251: q+1
     252: 2q+1
     253: q+1
     254: 2q+1
     255: q+1
     256: 2q+1
     257: 2q+1
     258: 3q+1
     259: q+1
     260: q+1
     262: q+1
     264: q+1
     266: 2q+1
     268: q+1
     270: 3q+1
     271: q
     272: 1
     274: 2q+1
     275: q
     276: 1
     278: 2q+1
     279: q
     280: 1
     282: 1
     284: 1
     286: 2q+1
     287: q
     296: 2q+1
     297: 2q+1
     298: 2q+1
     299: 2q+1
     300: q+1
     301: 1
     303: 1
     305: q+1
     307: 1
     309: 2q+1
     310: q+1
     311: q+1
     312: q+1
     313: q+1
     314: 2q+1
     315: q^2+3q+1
     316: q+1
     317: 2q+1
     318: q+1
     319: q+1
     320: 2q+1
     321: q^2+3q+1
     322: q+1
     323: q+1
     324: q+1
     325: 1
     327: 1
     329: q+1
     331: 1
     333: q+1
     334: q+1
     335: 2q+1
     336: q+1
     337: q+1
     338: 2q+1
     339: 2q+1
     340: 3q+1
     341: q+1
     342: 1
     343: 1
     344: q+1
     345: 1
     350: q+1
     354: q+1
     356: q+1
     358: 1
     360: 1
     362: 1
     364: 1
     366: q+1
     368: 1
     370: 1
     372: 1
     374: q+1
     376: 1
     378: 1
     380: 1
     382: 1
     384: 1
     386: 2
     388: 1
     390: 2q+1
     391: 2q+1
     392: q+1
     393: q+1
     394: 1
     396: 1
     398: q+1
     400: 1
     402: 2q+1
     403: q+1
     404: 1
     405: q+1
     406: q+1
     407: q+1
     408: q+1
     409: q+1
     410: 1
     411: q+1
     412: q+1
     421: q+1
     422: 1
     423: 1
     424: 1
     425: q+1
     426: 1
     427: q+1
     432: 1
     433: 1
     434: q+1
     435: 1
     436: 1
     438: 1
     444: q+1
     448: 1
     450: 1
     452: 1
     454: 1
     456: 1
     460: 1
     462: 1
     464: 1
     466: 1
     470: 1
     472: 1
     478: 1
     480: 1
     482: 2
     484: 1
     486: 1
     498: q+1
     507: 1
     508: 1
     510: 1
     511: q+1
     512: 1
     513: 1
     514: q+1
     516: q+1
     517: 1
     518: 1
     519: 1
     520: q+1
     521: 1
     522: 1
     523: 1
     529: 1
     531: 1
     541: 1
     547: 1
     551: 1
     555: 1
     557: 1
     563: 1
     567: 1
     569: 1
     577: 1
     579: 1
     585: 1
     598: 1
     601: 1
     602: 1
     605: 1
     606: 1
     607: 1
     608: 1
     635: 1
     637: 1
     647: 1
     657: 1
     663: 1
     687: 1
     691: 1
     713: 1

714:   0: q^3+4q^2+6q+1
       1: q^3+4q^2+6q+1
       2: 5q^2+6q+1
       3: q^3+4q^2+6q+1
       4: 5q^2+6q+1
       5: q^3+2q^2+4q+1
       6: q^3+4q^2+6q+1
       7: 5q^2+6q+1
       8: q^3+6q^2+6q+1
       9: q^3+2q^2+4q+1
      10: q^4+q^3+3q^2+4q+1
      11: q^4+3q^3+4q^2+3q+1
      12: q^3+6q^2+6q+1
      13: q^3+2q^2+2q+1
      14: q^3+2q^2+2q+1
      15: 2q^2+4q+1
      16: 2q^2+4q+1
      17: 3q^2+4q+1
      18: q^3+2q^2+2q+1
      19: q^3+4q^2+6q+1
      20: q^3+4q^2+6q+1
      21: 5q^2+6q+1
      22: q^3+2q^2+2q+1
      23: 2q^2+6q+1
      24: 3q^2+6q+1
      25: q^3+4q^2+3q+1
      26: 2q^2+2q+1
      27: q^3+4q^2+6q+1
      28: q^3+4q^2+6q+1
      29: q^3+2q^2+4q+1
      30: q^3+6q^2+6q+1
      31: 2q^2+6q+1
      32: 2q^2+6q+1
      33: 3q^2+6q+1
      34: q^3+q^2+4q+1
      35: 2q^2+6q+1
      36: 2q^2+6q+1
      37: 3q^2+6q+1
      38: q^3+q^2+4q+1
      39: 2q^2+2q+1
      40: 2q^2+4q+1
      41: q^3+4q^2+6q+1
      42: q^2+4q+1
      43: 2q^2+6q+1
      44: q^2+6q+1
      45: q^2+4q+1
      46: 2q^2+6q+1
      47: q^2+6q+1
      48: 2q
      49: 4q+1
      50: 2q
      51: 4q+1
      52: 2q
      53: q^2+4q+1
      54: q^3+q
      55: 3q+1
      56: 2q^2+4q+1
      57: 2q^2+4q+1
      58: 3q^2+4q+1
      59: q^3+2q^2+2q+1
      60: 2q^2+6q+1
      61: 3q^2+6q+1
      62: q^3+4q^2+3q+1
      63: 2q^2+2q+1
      64: 2q^2+6q+1
      65: q^3+4q^2+3q+1
      66: 3q^2+6q+1
      67: 2q^2+2q+1
      68: 2q^2+6q+1
      69: 2q^2+6q+1
      70: 3q^2+6q+1
      71: q^3+q^2+4q+1
      72: 2q^2+6q+1
      73: 2q^2+6q+1
      74: 3q^2+6q+1
      75: q^3+q^2+4q+1
      76: q
      77: 3q+1
      78: 2q
      79: 4q+1
      80: 2q
      81: 4q+1
      82: 2q^2+2q+1
      83: 2q^2+3q+1
      84: 2q^2+4q+1
      85: 2q^2+2q+1
      86: q^2+6q+1
      87: q^2+6q+1
      88: 2q
      89: 4q+1
      90: 2q
      91: 4q+1
      92: 2q
      93: q^2+4q+1
      94: q^3+q
      95: 3q+1
      96: q^2+4q+1
      97: q^2+6q+1
      98: q^2+4q+1
      99: 2q^2+6q+1
     100: q^2+4q+1
     101: q^2+6q+1
     102: q^2+4q+1
     103: 2q^2+6q+1
     104: 4q+1
     105: q^2+4q+1
     106: q^2+2q+1
     107: q^2+2q+1
     108: 2q^2+6q+1
     109: q^3+4q^2+3q+1
     110: 3q^2+6q+1
     111: 2q^2+2q+1
     112: q^2+5q+1
     113: 2q^2+3q+1
     114: q^2+5q+1
     115: q^2+2q+1
     116: q^2+5q+1
     117: 2q^2+3q+1
     118: q^2+5q+1
     119: q^2+2q+1
     120: 5q+1
     121: 5q+1
     122: q^2+6q+1
     123: 3q+1
     124: 2q
     125: 4q+1
     126: q
     127: 3q+1
     128: 2q
     129: 4q+1
     130: q
     131: 3q+1
     132: 2q
     133: 4q+1
     134: q^2+2q+1
     135: 2q+1
     137: 2q+1
     139: q+1
     141: 2q+1
     143: q+1
     144: 2q^2+2q+1
     145: 2q^2+3q+1
     146: q^2+6q+1
     147: q^2+6q+1
     148: 4q+1
     149: q^2+3q+1
     150: q^2+2q+1
     151: 3q+1
     152: q^2+4q+1
     153: q^2+5q+1
     154: 4q+1
     155: q^2+3q+1
     156: q^2+2q+1
     157: q^2+4q+1
     158: q^2+5q+1
     159: 3q+1
     160: 3q+1
     161: 5q+1
     162: 2q
     163: 3q+1
     164: 2q
     165: 3q+1
     166: 2q
     167: q^2+4q+1
     168: q
     169: 2q+1
     170: 4q+1
     171: q^2+2q+1
     172: q^2+4q+1
     173: q^2+2q+1
     174: q^2+5q+1
     175: 2q^2+3q+1
     176: q^2+5q+1
     177: q^2+2q+1
     178: q^2+5q+1
     179: 2q^2+3q+1
     180: q^2+5q+1
     181: q^2+2q+1
     182: 2q+1
     183: 2q+1
     184: 3q+1
     185: q+1
     187: q+1
     189: q+1
     191: 2q+1
     192: 2q
     193: 4q+1
     194: q
     195: 3q+1
     196: q
     197: 2q+1
     198: q
     199: 2q+1
     200: q
     201: 3q+1
     202: q
     203: 2q+1
     204: 2q
     205: 3q+1
     207: 2q+1
     209: q+1
     211: 2q+1
     213: q+1
     214: 2q+1
     215: q^2+2q+1
     216: 2q+1
     217: 4q+1
     218: q^2+3q+1
     219: 4q+1
     220: q^2+3q+1
     221: 2q+1
     222: q^2+2q+1
     223: q^2+3q+1
     224: 3q+1
     225: q^2+5q+1
     226: 2q+1
     227: q^2+2q+1
     228: q^2+3q+1
     229: q^2+5q+1
     230: 3q+1
     231: 2q+1
     233: 1
     235: 1
     237: q+1
     239: 1
     240: q+1
     241: q+1
     242: q+1
     243: 3q+1
     244: 2q+1
     245: 2q+1
     246: 3q+1
     247: q+1
     248: 2q+1
     249: q+1
     250: 2q+1
     251: q+1
     252: 2q+1
     253: q+1
     254: 2q+1
     255: q+1
     256: 2q+1
     257: 2q+1
     258: 3q+1
     259: q+1
     261: q+1
     263: q+1
     265: q+1
     267: 2q+1
     269: q+1
     270: q
     271: 3q+1
     273: 1
     274: q
     275: 2q+1
     277: 1
     278: q
     279: 2q+1
     281: 1
     283: 1
     285: 1
     286: q
     287: 2q+1
     296: 2q+1
     297: 2q+1
     298: 2q+1
     299: 2q+1
     300: q+1
     302: 1
     304: 1
     306: q+1
     308: 1
     309: 2q+1
     310: q+1
     311: q+1
     312: q+1
     313: q+1
     314: 2q+1
     315: q^2+3q+1
     316: q+1
     317: 2q+1
     318: q+1
     319: q+1
     320: 2q+1
     321: q^2+3q+1
     322: q+1
     323: q+1
     324: q+1
     326: 1
     328: 1
     330: q+1
     332: 1
     333: q+1
     334: q+1
     335: 2q+1
     336: q+1
     337: q+1
     338: 2q+1
     339: 2q+1
     340: 3q+1
     341: q+1
     342: 1
     343: 1
     344: q+1
     345: 1
     351: q+1
     355: q+1
     357: q+1
     359: 1
     361: 1
     363: 1
     365: 1
     367: q+1
     369: 1
     371: 1
     373: 1
     375: q+1
     377: 1
     379: 1
     381: 1
     383: 1
     385: 1
     387: 2
     389: 1
     390: 2q+1
     391: 2q+1
     392: q+1
     393: q+1
     395: 1
     397: 1
     399: q+1
     401: 1
     402: 2q+1
     403: q+1
     404: 1
     405: q+1
     406: q+1
     407: q+1
     408: q+1
     409: q+1
     410: 1
     411: q+1
     412: q+1
     421: q+1
     422: 1
     423: 1
     424: 1
     425: q+1
     426: 1
     427: q+1
     432: 1
     433: 1
     434: q+1
     435: 1
     440: 1
     441: 1
     445: q+1
     449: 1
     451: 1
     453: 1
     455: 1
     457: 1
     461: 1
     463: 1
     465: 1
     467: 1
     471: 1
     473: 1
     479: 1
     481: 1
     483: 2
     485: 1
     487: 1
     498: q+1
     507: 1
     508: 1
     510: 1
     511: q+1
     512: 1
     513: 1
     514: q+1
     516: q+1
     517: 1
     518: 1
     519: 1
     520: q+1
     521: 1
     522: 1
     523: 1
     533: 1
     534: 1
     542: 1
     548: 1
     552: 1
     556: 1
     558: 1
     564: 1
     568: 1
     570: 1
     578: 1
     580: 1
     586: 1
     598: 1
     601: 1
     602: 1
     605: 1
     606: 1
     607: 1
     608: 1
     636: 1
     638: 1
     648: 1
     658: 1
     664: 1
     687: 1
     691: 1
     714: 1

715:   0: q^4+q^3+2q^2+3q+1
       1: q^3+2q+1
       2: q^3+3q^2+3q+1
       3: q^4+q^3+2q^2+3q+1
       4: q^3+3q^2+3q+1
       5: q^3+2q+1
       6: q^3+2q+1
       7: q^2+2q+1
       8: q^4+3q^3+4q^2+3q+1
       9: q^3+2q+1
      10: q^2+2q+1
      11: q^4+q^3+q+1
      12: q^4+3q^3+4q^2+3q+1
      13: q^4+q^3+q+1
      15: q^3+2q+1
      16: q^3+2q+1
      17: q^2+2q+1
      18: q^4+q^3+q+1
      19: q^3+2q+1
      20: q^3+2q+1
      21: q^2+2q+1
      23: 2q^2+3q+1
      24: q^3+3q^2+3q+1
      25: q^3+q+1
      26: q^3+q+1
      27: q^4+q^3+2q^2+3q+1
      28: q^3+2q+1
      29: q^3+2q+1
      30: q^4+3q^3+4q^2+3q+1
      31: 2q^2+3q+1
      32: 2q+1
      33: q^3+3q^2+3q+1
      34: 2q+1
      35: 2q^2+3q+1
      36: 2q+1
      37: q^3+3q^2+3q+1
      38: 2q+1
      39: q^3+q+1
      40: q^3+2q+1
      41: q^3+2q+1
      42: 2q+1
      43: 2q+1
      44: 2q^2+3q+1
      45: 2q+1
      46: 2q+1
      47: 2q^2+3q+1
      48: 2q^2+3q+1
      50: 2q+1
      52: q^3+3q^2+3q+1
      54: 2q+1
      56: q^3+2q+1
      57: q^3+2q+1
      58: q^2+2q+1
      60: 2q+1
      61: q^2+2q+1
      62: q^3+q+1
      64: 2q^2+3q+1
      65: q^3+q+1
      66: q^3+3q^2+3q+1
      67: q^3+q+1
      68: 2q^2+3q+1
      69: 2q+1
      70: q^3+3q^2+3q+1
      71: 2q+1
      72: 2q^2+3q+1
      73: 2q+1
      74: q^3+3q^2+3q+1
      75: 2q+1
      76: 2q+1
      78: 2q+1
      80: 2q^2+3q+1
      83: q+1
      84: q^3+2q+1
      85: q^3+q+1
      86: 2q^2+3q+1
      87: 2q^2+3q+1
      88: 2q^2+3q+1
      90: 2q+1
      92: q^3+3q^2+3q+1
      94: 2q+1
      96: 2q+1
      97: 2q+1
      98: 2q+1
      99: 2q+1
     100: 2q+1
     101: 2q+1
     102: 2q+1
     103: 2q+1
     104: 2q+1
     105: q^2+2q+1
     106: q^3+q+1
     108: 2q+1
     109: q^3+q+1
     110: q^2+2q+1
     112: 2q^2+3q+1
     113: q+1
     114: 2q^2+3q+1
     115: q+1
     116: 2q^2+3q+1
     117: q+1
     118: 2q^2+3q+1
     119: q+1
     120: q^2+2q+1
     121: q+1
     122: q^3+3q^2+3q+1
     123: q+1
     124: 2q^2+3q+1
     126: 2q+1
     128: 2q+1
     130: 2q+1
     132: 2q+1
     135: q+1
     136: 2q^2+3q+1
     138: q+1
     140: 2q^2+3q+1
     142: q+1
     145: q+1
     146: 2q+1
     147: 2q+1
     148: 2q+1
     149: q+1
     150: q+1
     151: q^2+2q+1
     152: 2q+1
     153: 2q^2+3q+1
     154: 2q+1
     155: q+1
     156: q+1
     157: 2q+1
     158: 2q^2+3q+1
     159: q^2+2q+1
     160: q+1
     161: q+1
     162: q^2+2q+1
     164: q+1
     166: q^3+3q^2+3q+1
     168: q+1
     170: 2q+1
     171: q^3+q+1
     172: q^2+2q+1
     174: 2q+1
     175: q+1
     176: 2q+1
     178: 2q+1
     179: q+1
     180: 2q+1
     182: q+1
     183: 1
     184: q^2+2q+1
     185: 1
     186: q+1
     188: q+1
     190: 2q^2+3q+1
     192: 2q+1
     194: 2q+1
     196: q^2+2q+1
     198: q^2+2q+1
     200: 2q+1
     202: q+1
     204: q+1
     206: 2q+1
     208: q+1
     210: 2q+1
     216: q+1
     217: 2q+1
     218: q+1
     219: 2q+1
     220: q+1
     221: q+1
     223: q+1
     224: q+1
     225: 2q+1
     226: q+1
     228: q+1
     229: 2q+1
     230: q+1
     231: 1
     232: q+1
     234: 1
     236: q^2+2q+1
     238: 1
     240: 1
     241: q+1
     242: q+1
     243: q+1
     244: q+1
     245: 1
     246: q^2+2q+1
     247: 1
     248: 2q+1
     249: q+1
     250: 2q+1
     252: 2q+1
     253: q+1
     254: 2q+1
     256: 1
     257: 1
     258: q+1
     262: q+1
     264: q+1
     266: 2q+1
     268: q+1
     270: 2q+1
     272: q+1
     274: q+1
     276: q+1
     278: q+1
     280: 1
     282: 1
     284: q+1
     286: q+1
     288: 2q+1
     290: q+1
     292: 2q+1
     297: q+1
     298: q+1
     299: 1
     300: 1
     301: q+1
     303: 1
     305: q^2+2q+1
     307: 1
     311: q+1
     312: q+1
     313: 1
     314: 2q+1
     315: q+1
     316: q+1
     319: q+1
     320: 2q+1
     321: q+1
     322: q+1
     323: 1
     324: q+1
     325: 1
     327: 1
     329: q+1
     333: 1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: q+1
     342: 1
     343: 1
     344: q+1
     348: q+1
     352: 2q+1
     354: q+1
     356: q+1
     358: 1
     360: 1
     362: 1
     364: 1
     366: q+1
     368: q+1
     370: 1
     372: 1
     374: q+1
     376: q+1
     380: 1
     382: 1
     384: 1
     386: 2q+2
     388: q+1
     392: 1
     394: 1
     396: 1
     398: q+1
     402: 1
     404: 1
     405: q+1
     406: 1
     407: 1
     409: q+1
     410: 1
     411: 1
     412: 1
     413: 1
     415: 1
     417: q+1
     423: 1
     424: 1
     425: 1
     426: 1
     427: 1
     432: 1
     433: 1
     434: q+1
     436: q+1
     438: q+1
     446: q+1
     448: 1
     450: 1
     454: 1
     456: 1
     458: 1
     460: 1
     462: 1
     464: 1
     466: 1
     468: 1
     470: 1
     472: 1
     476: 1
     480: 1
     482: 2
     484: 1
     486: 1
     499: 1
     501: 1
     503: q+1
     508: 1
     512: 1
     513: 1
     514: 1
     518: 1
     519: 1
     520: 1
     522: 1
     523: 1
     529: 1
     531: 1
     543: 1
     547: 1
     553: 1
     555: 1
     557: 1
     559: 1
     565: 1
     567: 1
     569: 1
     571: 1
     577: 1
     579: 1
     581: 2
     585: 1
     602: 1
     606: 1
     621: 1
     623: 1
     635: 1
     637: 1
     649: 1
     659: 1
     665: 1
     715: 1

716:   0: q^4+q^3+2q^2+3q+1
       1: q^3+2q+1
       2: q^3+3q^2+3q+1
       3: q^4+q^3+2q^2+3q+1
       4: q^3+3q^2+3q+1
       5: q^3+2q+1
       6: q^3+2q+1
       7: q^2+2q+1
       8: q^4+3q^3+4q^2+3q+1
       9: q^3+2q+1
      10: q^2+2q+1
      11: q^4+q^3+q+1
      12: q^4+3q^3+4q^2+3q+1
      13: q^4+q^3+q+1
      15: q^3+2q+1
      16: q^3+2q+1
      17: q^2+2q+1
      18: q^4+q^3+q+1
      19: q^3+2q+1
      20: q^3+2q+1
      21: q^2+2q+1
      23: 2q^2+3q+1
      24: q^3+3q^2+3q+1
      25: q^3+q+1
      26: q^3+q+1
      27: q^4+q^3+2q^2+3q+1
      28: q^3+2q+1
      29: q^3+2q+1
      30: q^4+3q^3+4q^2+3q+1
      31: 2q^2+3q+1
      32: 2q+1
      33: q^3+3q^2+3q+1
      34: 2q+1
      35: 2q^2+3q+1
      36: 2q+1
      37: q^3+3q^2+3q+1
      38: 2q+1
      39: q^3+q+1
      40: q^3+2q+1
      41: q^3+2q+1
      42: 2q+1
      43: 2q+1
      44: 2q^2+3q+1
      45: 2q+1
      46: 2q+1
      47: 2q^2+3q+1
      49: 2q^2+3q+1
      51: 2q+1
      53: q^3+3q^2+3q+1
      55: 2q+1
      56: q^3+2q+1
      57: q^3+2q+1
      58: q^2+2q+1
      60: 2q+1
      61: q^2+2q+1
      62: q^3+q+1
      64: 2q^2+3q+1
      65: q^3+q+1
      66: q^3+3q^2+3q+1
      67: q^3+q+1
      68: 2q^2+3q+1
      69: 2q+1
      70: q^3+3q^2+3q+1
      71: 2q+1
      72: 2q^2+3q+1
      73: 2q+1
      74: q^3+3q^2+3q+1
      75: 2q+1
      77: 2q+1
      79: 2q+1
      81: 2q^2+3q+1
      83: q+1
      84: q^3+2q+1
      85: q^3+q+1
      86: 2q^2+3q+1
      87: 2q^2+3q+1
      89: 2q^2+3q+1
      91: 2q+1
      93: q^3+3q^2+3q+1
      95: 2q+1
      96: 2q+1
      97: 2q+1
      98: 2q+1
      99: 2q+1
     100: 2q+1
     101: 2q+1
     102: 2q+1
     103: 2q+1
     104: 2q+1
     105: q^2+2q+1
     106: q^3+q+1
     108: 2q+1
     109: q^3+q+1
     110: q^2+2q+1
     112: 2q^2+3q+1
     113: q+1
     114: 2q^2+3q+1
     115: q+1
     116: 2q^2+3q+1
     117: q+1
     118: 2q^2+3q+1
     119: q+1
     120: q^2+2q+1
     121: q+1
     122: q^3+3q^2+3q+1
     123: q+1
     125: 2q^2+3q+1
     127: 2q+1
     129: 2q+1
     131: 2q+1
     133: 2q+1
     135: q+1
     137: 2q^2+3q+1
     139: q+1
     141: 2q^2+3q+1
     143: q+1
     145: q+1
     146: 2q+1
     147: 2q+1
     148: 2q+1
     149: q+1
     150: q+1
     151: q^2+2q+1
     152: 2q+1
     153: 2q^2+3q+1
     154: 2q+1
     155: q+1
     156: q+1
     157: 2q+1
     158: 2q^2+3q+1
     159: q^2+2q+1
     160: q+1
     161: q+1
     163: q^2+2q+1
     165: q+1
     167: q^3+3q^2+3q+1
     169: q+1
     170: 2q+1
     171: q^3+q+1
     172: q^2+2q+1
     174: 2q+1
     175: q+1
     176: 2q+1
     178: 2q+1
     179: q+1
     180: 2q+1
     182: q+1
     183: 1
     184: q^2+2q+1
     185: 1
     187: q+1
     189: q+1
     191: 2q^2+3q+1
     193: 2q+1
     195: 2q+1
     197: q^2+2q+1
     199: q^2+2q+1
     201: 2q+1
     203: q+1
     205: q+1
     207: 2q+1
     209: q+1
     211: 2q+1
     216: q+1
     217: 2q+1
     218: q+1
     219: 2q+1
     220: q+1
     221: q+1
     223: q+1
     224: q+1
     225: 2q+1
     226: q+1
     228: q+1
     229: 2q+1
     230: q+1
     231: 1
     233: q+1
     235: 1
     237: q^2+2q+1
     239: 1
     240: 1
     241: q+1
     242: q+1
     243: q+1
     244: q+1
     245: 1
     246: q^2+2q+1
     247: 1
     248: 2q+1
     249: q+1
     250: 2q+1
     252: 2q+1
     253: q+1
     254: 2q+1
     256: 1
     257: 1
     258: q+1
     263: q+1
     265: q+1
     267: 2q+1
     269: q+1
     271: 2q+1
     273: q+1
     275: q+1
     277: q+1
     279: q+1
     281: 1
     283: 1
     285: q+1
     287: q+1
     289: 2q+1
     291: q+1
     293: 2q+1
     297: q+1
     298: q+1
     299: 1
     300: 1
     302: q+1
     304: 1
     306: q^2+2q+1
     308: 1
     311: q+1
     312: q+1
     313: 1
     314: 2q+1
     315: q+1
     316: q+1
     319: q+1
     320: 2q+1
     321: q+1
     322: q+1
     323: 1
     324: q+1
     326: 1
     328: 1
     330: q+1
     333: 1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: q+1
     342: 1
     343: 1
     344: q+1
     349: q+1
     353: 2q+1
     355: q+1
     357: q+1
     359: 1
     361: 1
     363: 1
     365: 1
     367: q+1
     369: q+1
     371: 1
     373: 1
     375: q+1
     377: q+1
     381: 1
     383: 1
     385: 1
     387: 2q+2
     389: q+1
     392: 1
     395: 1
     397: 1
     399: q+1
     402: 1
     404: 1
     405: q+1
     406: 1
     407: 1
     409: q+1
     410: 1
     411: 1
     412: 1
     414: 1
     416: 1
     418: q+1
     423: 1
     424: 1
     425: 1
     426: 1
     427: 1
     432: 1
     433: 1
     434: q+1
     440: q+1
     441: q+1
     447: q+1
     449: 1
     451: 1
     455: 1
     457: 1
     459: 1
     461: 1
     463: 1
     465: 1
     467: 1
     469: 1
     471: 1
     473: 1
     477: 1
     481: 1
     483: 2
     485: 1
     487: 1
     500: 1
     502: 1
     504: q+1
     508: 1
     512: 1
     513: 1
     514: 1
     518: 1
     519: 1
     520: 1
     522: 1
     523: 1
     533: 1
     534: 1
     544: 1
     548: 1
     554: 1
     556: 1
     558: 1
     560: 1
     566: 1
     568: 1
     570: 1
     572: 1
     578: 1
     580: 1
     582: 2
     586: 1
     602: 1
     606: 1
     625: 1
     626: 1
     636: 1
     638: 1
     650: 1
     660: 1
     666: 1
     716: 1

717:   0: 3q^2+4q+1
       1: q^2+2q+1
       2: 3q^2+4q+1
       3: 3q^2+4q+1
       4: q^3+4q^2+4q+1
       5: q^2+2q+1
       6: q^2+2q+1
       7: q^3+2q^2+2q+1
       8: q^3+4q^2+4q+1
       9: q^2+2q+1
      10: q^3+2q^2+2q+1
      11: q^2+2q+1
      12: q^3+4q^2+4q+1
      13: q^2+2q+1
      15: q^2+2q+1
      16: q^2+2q+1
      17: q^3+2q^2+2q+1
      18: q^2+2q+1
      19: 2q+1
      20: 2q+1
      21: q^2+2q+1
      23: 3q^2+4q+1
      24: q^3+4q^2+4q+1
      25: q^2+2q+1
      26: q^2+2q+1
      27: 3q^2+4q+1
      28: q^2+2q+1
      29: q^2+2q+1
      30: q^3+4q^2+4q+1
      31: 2q^2+4q+1
      32: q^2+2q+1
      33: 2q^2+4q+1
      34: q^2+2q+1
      35: 2q^2+4q+1
      36: q^2+2q+1
      37: 2q^2+4q+1
      38: q^2+2q+1
      39: q^2+2q+1
      40: q^2+2q+1
      41: 2q+1
      42: q^2+2q+1
      43: 2q+1
      44: 2q^2+4q+1
      45: q^2+2q+1
      46: 2q+1
      47: 2q^2+4q+1
      48: q^2+2q+1
      49: 2q
      50: q+1
      51: q^2+q
      52: q^2+2q+1
      53: 2q
      54: q+1
      55: q^2+q
      56: 2q+1
      57: 2q+1
      58: q^2+2q+1
      60: 2q+1
      61: q^2+2q+1
      62: 2q+1
      64: 3q^2+4q+1
      65: q^2+2q+1
      66: q^3+4q^2+4q+1
      67: q^2+2q+1
      68: 2q^2+4q+1
      69: q^2+2q+1
      70: 2q^2+4q+1
      71: q^2+2q+1
      72: 2q^2+4q+1
      73: q^2+2q+1
      74: 2q^2+4q+1
      75: q^2+2q+1
      76: q+1
      77: q^2+q
      78: q+1
      79: q
      80: q^2+2q+1
      81: 2q
      83: 2q+1
      84: 2q+1
      85: q^2+2q+1
      86: 2q^2+4q+1
      87: 2q^2+4q+1
      88: q^2+2q+1
      89: 2q
      90: q+1
      91: q^2+q
      92: q^2+2q+1
      93: 2q
      94: q+1
      95: q^2+q
      96: 2q+1
      97: 2q+1
      98: q^2+2q+1
      99: 2q+1
     100: 2q+1
     101: 2q+1
     102: q^2+2q+1
     103: 2q+1
     104: 2q+1
     105: q^2+2q+1
     106: 2q+1
     108: 2q+1
     109: 2q+1
     110: q^2+2q+1
     112: 2q^2+4q+1
     113: q^2+2q+1
     114: 2q^2+4q+1
     115: q^2+2q+1
     116: 2q^2+4q+1
     117: q^2+2q+1
     118: 2q^2+4q+1
     119: q^2+2q+1
     120: 3q+1
     121: q+1
     122: q^2+4q+1
     123: q+1
     124: q^2+2q+1
     125: 2q
     126: q+1
     127: q^2+q
     128: q+1
     129: q
     130: q+1
     131: q
     132: q+1
     133: q
     135: 2q+1
     136: q^2+2q+1
     137: 2q
     138: q+1
     139: q^2+q
     140: q^2+2q+1
     141: 2q
     142: q+1
     143: q^2+q
     145: 2q+1
     146: 2q+1
     147: 2q+1
     148: 2q+1
     149: 2q+1
     150: q^2+2q+1
     151: 2q+1
     152: 2q+1
     153: 2q^2+4q+1
     154: 2q+1
     155: 2q+1
     156: q^2+2q+1
     157: 2q+1
     158: 2q^2+4q+1
     159: 2q+1
     160: q+1
     161: q+1
     162: q+1
     163: 2q
     164: 1
     165: q
     166: q^2+2q+1
     167: 2q
     168: 1
     169: q
     170: 2q+1
     171: 2q+1
     172: q^2+2q+1
     174: q+1
     175: q+1
     176: q+1
     178: q+1
     179: q+1
     180: q+1
     182: 3q+1
     183: q+1
     184: q^2+4q+1
     185: q+1
     186: q+1
     187: q
     188: q+1
     189: q^2+q
     190: q^2+2q+1
     191: 2q
     192: q+1
     193: q
     194: q+1
     195: q
     196: q+1
     197: q
     198: q+1
     199: q
     200: q+1
     201: q
     202: 1
     203: q
     204: 1
     205: q
     216: 2q+1
     217: 2q+1
     218: 2q+1
     219: 2q+1
     220: 2q+1
     221: 2q+1
     223: q+1
     224: 1
     225: q+1
     226: 2q+1
     228: q+1
     229: q+1
     230: 1
     231: q+1
     232: q+1
     233: 2q
     234: 1
     235: q
     236: q^2+2q+1
     237: 2q
     238: 1
     239: q
     240: q+1
     241: 2q+1
     242: 2q+1
     243: q+1
     244: 3q+1
     245: q+1
     246: q^2+4q+1
     247: q+1
     248: q+1
     249: q+1
     250: q+1
     252: q+1
     253: q+1
     254: q+1
     256: 1
     257: 1
     258: q+1
     264: q+1
     265: q
     268: q+1
     269: q
     270: q+1
     271: q
     272: q+1
     273: q
     274: 1
     276: q+1
     277: q
     278: 1
     280: 1
     281: q
     282: 1
     283: q
     284: q+1
     286: 1
     287: q
     297: 2q+1
     298: 2q+1
     299: q+1
     300: q+1
     301: q+1
     302: 2q
     303: 1
     304: q
     305: q^2+2q+1
     306: 2q
     307: 1
     308: q
     311: q+1
     312: 1
     313: 1
     314: q+1
     315: q+1
     316: 2q+1
     319: q+1
     320: q+1
     321: q+1
     322: 1
     323: 1
     324: 2q+1
     333: q+1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: q+1
     342: 1
     343: 1
     344: q+1
     356: q+1
     357: q
     358: 1
     359: q
     360: 1
     361: q
     362: 1
     366: 1
     368: q+1
     369: q
     370: 1
     374: 1
     376: q+1
     377: q
     382: 1
     383: q
     384: 1
     386: q+1
     388: q+1
     392: q+1
     402: 1
     404: 1
     405: q+1
     406: 1
     407: 1
     409: q+1
     410: 1
     411: 1
     412: 1
     423: 1
     424: 1
     425: 1
     426: 1
     427: 1
     428: 1
     429: 1
     430: q+1
     432: 1
     433: 1
     434: q+1
     436: q+1
     450: 1
     451: q
     456: 1
     460: 1
     466: 1
     470: 1
     480: 1
     484: 1
     486: 1
     497: 1
     508: 1
     509: 1
     512: 1
     513: 1
     514: 1
     515: 1
     518: 1
     519: 1
     520: 1
     522: 1
     523: 1
     525: 1
     526: 1
     527: q+1
     547: 1
     557: 1
     569: 1
     575: 1
     579: 1
     585: 1
     597: 1
     599: 1
     600: 1
     602: 1
     603: 1
     604: 1
     606: 1
     635: 1
     639: 1
     661: 1
     686: 1
     690: 1
     717: 1

718:   0: 3q^2+4q+1
       1: q^2+2q+1
       2: 3q^2+4q+1
       3: 3q^2+4q+1
       4: q^3+4q^2+4q+1
       5: q^2+2q+1
       6: q^2+2q+1
       7: q^3+2q^2+2q+1
       8: q^3+4q^2+4q+1
       9: q^2+2q+1
      10: q^3+2q^2+2q+1
      11: q^2+2q+1
      12: q^3+4q^2+4q+1
      13: q^2+2q+1
      15: q^2+2q+1
      16: q^2+2q+1
      17: q^3+2q^2+2q+1
      18: q^2+2q+1
      19: 2q+1
      20: 2q+1
      21: q^2+2q+1
      23: 3q^2+4q+1
      24: q^3+4q^2+4q+1
      25: q^2+2q+1
      26: q^2+2q+1
      27: 3q^2+4q+1
      28: q^2+2q+1
      29: q^2+2q+1
      30: q^3+4q^2+4q+1
      31: 2q^2+4q+1
      32: q^2+2q+1
      33: 2q^2+4q+1
      34: q^2+2q+1
      35: 2q^2+4q+1
      36: q^2+2q+1
      37: 2q^2+4q+1
      38: q^2+2q+1
      39: q^2+2q+1
      40: q^2+2q+1
      41: 2q+1
      42: q^2+2q+1
      43: 2q+1
      44: 2q^2+4q+1
      45: q^2+2q+1
      46: 2q+1
      47: 2q^2+4q+1
      48: 2q
      49: q^2+2q+1
      50: q^2+q
      51: q+1
      52: 2q
      53: q^2+2q+1
      54: q^2+q
      55: q+1
      56: 2q+1
      57: 2q+1
      58: q^2+2q+1
      60: 2q+1
      61: q^2+2q+1
      62: 2q+1
      64: 3q^2+4q+1
      65: q^2+2q+1
      66: q^3+4q^2+4q+1
      67: q^2+2q+1
      68: 2q^2+4q+1
      69: q^2+2q+1
      70: 2q^2+4q+1
      71: q^2+2q+1
      72: 2q^2+4q+1
      73: q^2+2q+1
      74: 2q^2+4q+1
      75: q^2+2q+1
      76: q^2+q
      77: q+1
      78: q
      79: q+1
      80: 2q
      81: q^2+2q+1
      83: 2q+1
      84: 2q+1
      85: q^2+2q+1
      86: 2q^2+4q+1
      87: 2q^2+4q+1
      88: 2q
      89: q^2+2q+1
      90: q^2+q
      91: q+1
      92: 2q
      93: q^2+2q+1
      94: q^2+q
      95: q+1
      96: 2q+1
      97: 2q+1
      98: q^2+2q+1
      99: 2q+1
     100: 2q+1
     101: 2q+1
     102: q^2+2q+1
     103: 2q+1
     104: 2q+1
     105: q^2+2q+1
     106: 2q+1
     108: 2q+1
     109: 2q+1
     110: q^2+2q+1
     112: 2q^2+4q+1
     113: q^2+2q+1
     114: 2q^2+4q+1
     115: q^2+2q+1
     116: 2q^2+4q+1
     117: q^2+2q+1
     118: 2q^2+4q+1
     119: q^2+2q+1
     120: 3q+1
     121: q+1
     122: q^2+4q+1
     123: q+1
     124: 2q
     125: q^2+2q+1
     126: q^2+q
     127: q+1
     128: q
     129: q+1
     130: q
     131: q+1
     132: q
     133: q+1
     135: 2q+1
     136: 2q
     137: q^2+2q+1
     138: q^2+q
     139: q+1
     140: 2q
     141: q^2+2q+1
     142: q^2+q
     143: q+1
     145: 2q+1
     146: 2q+1
     147: 2q+1
     148: 2q+1
     149: 2q+1
     150: q^2+2q+1
     151: 2q+1
     152: 2q+1
     153: 2q^2+4q+1
     154: 2q+1
     155: 2q+1
     156: q^2+2q+1
     157: 2q+1
     158: 2q^2+4q+1
     159: 2q+1
     160: q+1
     161: q+1
     162: 2q
     163: q+1
     164: q
     165: 1
     166: 2q
     167: q^2+2q+1
     168: q
     169: 1
     170: 2q+1
     171: 2q+1
     172: q^2+2q+1
     174: q+1
     175: q+1
     176: q+1
     178: q+1
     179: q+1
     180: q+1
     182: 3q+1
     183: q+1
     184: q^2+4q+1
     185: q+1
     186: q
     187: q+1
     188: q^2+q
     189: q+1
     190: 2q
     191: q^2+2q+1
     192: q
     193: q+1
     194: q
     195: q+1
     196: q
     197: q+1
     198: q
     199: q+1
     200: q
     201: q+1
     202: q
     203: 1
     204: q
     205: 1
     216: 2q+1
     217: 2q+1
     218: 2q+1
     219: 2q+1
     220: 2q+1
     221: 2q+1
     223: q+1
     224: 1
     225: q+1
     226: 2q+1
     228: q+1
     229: q+1
     230: 1
     231: q+1
     232: 2q
     233: q+1
     234: q
     235: 1
     236: 2q
     237: q^2+2q+1
     238: q
     239: 1
     240: q+1
     241: 2q+1
     242: 2q+1
     243: q+1
     244: 3q+1
     245: q+1
     246: q^2+4q+1
     247: q+1
     248: q+1
     249: q+1
     250: q+1
     252: q+1
     253: q+1
     254: q+1
     256: 1
     257: 1
     258: q+1
     264: q
     265: q+1
     268: q
     269: q+1
     270: q
     271: q+1
     272: q
     273: q+1
     275: 1
     276: q
     277: q+1
     279: 1
     280: q
     281: 1
     282: q
     283: 1
     285: q+1
     286: q
     287: 1
     297: 2q+1
     298: 2q+1
     299: q+1
     300: q+1
     301: 2q
     302: q+1
     303: q
     304: 1
     305: 2q
     306: q^2+2q+1
     307: q
     308: 1
     311: q+1
     312: 1
     313: 1
     314: q+1
     315: q+1
     316: 2q+1
     319: q+1
     320: q+1
     321: q+1
     322: 1
     323: 1
     324: 2q+1
     333: q+1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: q+1
     342: 1
     343: 1
     344: q+1
     356: q
     357: q+1
     358: q
     359: 1
     360: q
     361: 1
     363: 1
     367: 1
     368: q
     369: q+1
     371: 1
     375: 1
     376: q
     377: q+1
     382: q
     383: 1
     385: 1
     387: q+1
     389: q+1
     392: q+1
     402: 1
     404: 1
     405: q+1
     406: 1
     407: 1
     409: q+1
     410: 1
     411: 1
     412: 1
     423: 1
     424: 1
     425: 1
     426: 1
     427: 1
     428: 1
     429: 1
     430: q+1
     432: 1
     433: 1
     434: q+1
     440: q+1
     450: q
     451: 1
     457: 1
     461: 1
     467: 1
     471: 1
     481: 1
     485: 1
     487: 1
     497: 1
     508: 1
     509: 1
     512: 1
     513: 1
     514: 1
     515: 1
     518: 1
     519: 1
     520: 1
     522: 1
     523: 1
     525: 1
     526: 1
     527: q+1
     548: 1
     558: 1
     570: 1
     576: 1
     580: 1
     586: 1
     597: 1
     599: 1
     600: 1
     602: 1
     603: 1
     604: 1
     606: 1
     636: 1
     640: 1
     662: 1
     686: 1
     690: 1
     718: 1

719:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+1
       3: q+1
       4: q^2+2q+1
       5: q^2+2q+1
       6: q+1
       7: q^2+2q+1
       8: q^2+2q+1
       9: q+1
      10: q^2+2q+1
      11: q+1
      12: q^3+2q^2+2q+1
      13: q+1
      14: q+1
      15: q^2+2q+1
      16: q+1
      17: q^2+2q+1
      18: q+1
      19: q^2+2q+1
      20: q+1
      21: q^2+2q+1
      22: q+1
      23: q^2+2q+1
      24: q^2+2q+1
      25: q+1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      30: q^2+2q+1
      31: q^2+2q+1
      32: q^2+2q+1
      33: q^2+2q+1
      34: q^2+2q+1
      35: q+1
      36: q+1
      37: q+1
      38: q+1
      39: q+1
      40: q+1
      41: q+1
      42: q^2+2q+1
      43: q^2+2q+1
      44: q^2+2q+1
      45: q+1
      46: q+1
      47: q+1
      48: q+1
      50: q+1
      52: q+1
      54: q+1
      56: q^2+2q+1
      57: q+1
      58: q^2+2q+1
      59: q+1
      60: q^2+2q+1
      61: q^2+2q+1
      62: q+1
      63: q+1
      64: q+1
      65: q+1
      66: q^2+2q+1
      67: q+1
      68: q+1
      69: q+1
      70: q^2+2q+1
      71: q+1
      72: 1
      73: 1
      74: q+1
      75: 1
      76: q+1
      78: q+1
      80: q+1
      82: q+1
      83: q+1
      84: q+1
      85: q+1
      86: 1
      87: q+1
      88: 1
      90: 1
      92: q+1
      94: 1
      96: q^2+2q+1
      97: q^2+2q+1
      98: q+1
      99: q+1
     100: q+1
     101: q+1
     102: 1
     103: 1
     104: q^2+2q+1
     105: q^2+2q+1
     106: q+1
     107: q+1
     108: q+1
     109: q+1
     110: q^2+2q+1
     111: q+1
     112: q+1
     113: q+1
     114: q^2+2q+1
     115: q+1
     116: 1
     117: 1
     118: q+1
     119: 1
     120: 1
     121: 1
     122: q+1
     123: 1
     124: 1
     126: 1
     128: 1
     130: q+1
     132: q+1
     134: q+1
     135: q+1
     136: 1
     138: 1
     140: q+1
     142: 1
     144: q+1
     145: q+1
     146: 1
     147: q+1
     148: q^2+2q+1
     149: q+1
     150: q+1
     151: 1
     152: q+1
     153: q+1
     154: q+1
     155: 1
     156: 1
     157: 1
     158: 1
     160: 1
     161: 1
     162: 1
     164: 1
     166: q+1
     168: 1
     170: q+1
     171: q+1
     172: q^2+2q+1
     173: q+1
     174: q+1
     175: q+1
     176: q^2+2q+1
     177: q+1
     178: 1
     179: 1
     180: q+1
     181: 1
     182: 1
     183: 1
     184: q+1
     185: 1
     186: 1
     188: 1
     190: 1
     192: 1
     194: 1
     196: 1
     200: q+1
     202: 1
     204: 1
     206: 1
     208: 1
     210: q+1
     212: 1
     214: q+1
     215: q+1
     216: q+1
     217: 1
     218: 1
     219: q+1
     220: q+1
     221: q+1
     222: q+1
     223: q+1
     224: 1
     225: q+1
     226: 1
     227: 1
     228: 1
     229: 1
     231: 1
     232: 1
     234: 1
     236: q+1
     238: 1
     240: 1
     241: 1
     243: 1
     244: 1
     246: 1
     248: q+1
     249: q+1
     250: q^2+2q+1
     251: q+1
     252: 1
     253: 1
     254: q+1
     255: 1
     256: 1
     257: 1
     258: q+1
     259: 1
     260: 1
     262: 1
     264: 1
     266: 1
     268: 1
     270: 1
     272: 1
     274: 1
     280: 1
     282: 1
     286: 1
     288: 1
     290: 1
     292: q+1
     294: 1
     296: q+1
     297: 1
     298: q+1
     301: 1
     305: 1
     309: q+1
     310: q+1
     311: q+1
     312: 1
     313: 1
     314: q+1
     315: q+1
     316: 1
     317: 1
     318: 1
     319: 1
     320: 1
     321: 1
     325: 1
     327: 1
     329: q+1
     331: 1
     333: 1
     334: 1
     335: 1
     336: 1
     338: 1
     340: 1
     342: 1
     343: 1
     344: q+1
     345: 1
     346: 1
     348: 1
     350: 1
     352: 1
     354: 1
     356: 1
     362: 1
     364: 1
     366: 1
     368: 1
     378: 1
     380: 1
     382: 1
     390: 1
     391: q+1
     394: 1
     398: 1
     403: q+1
     404: 1
     405: q+1
     407: 1
     408: 1
     409: 1
     413: 1
     415: 1
     417: q+1
     419: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     428: 1
     430: 1
     432: 1
     434: 1
     442: 1
     444: 1
     446: 1
     454: 1
     456: 1
     458: 1
     462: 1
     474: 1
     476: 1
     478: 1
     489: 1
     493: 1
     499: 1
     503: 1
     509: 1
     510: 1
     511: q+1
     513: 1
     516: 1
     521: 1
     522: 1
     525: 1
     527: 1
     537: 1
     549: 1
     551: 1
     553: 1
     559: 1
     573: 1
     587: 1
     591: 1
     599: 1
     607: 1
     611: 1
     613: 1
     641: 1
     643: 1
     673: 1
     677: 1
     684: 1
     719: 1

720:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+1
       3: q+1
       4: q^2+2q+1
       5: q^2+2q+1
       6: q+1
       7: q^2+2q+1
       8: q^2+2q+1
       9: q+1
      10: q^2+2q+1
      11: q+1
      12: q^3+2q^2+2q+1
      13: q+1
      14: q+1
      15: q^2+2q+1
      16: q+1
      17: q^2+2q+1
      18: q+1
      19: q^2+2q+1
      20: q+1
      21: q^2+2q+1
      22: q+1
      23: q^2+2q+1
      24: q^2+2q+1
      25: q+1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      30: q^2+2q+1
      31: q^2+2q+1
      32: q^2+2q+1
      33: q^2+2q+1
      34: q^2+2q+1
      35: q+1
      36: q+1
      37: q+1
      38: q+1
      39: q+1
      40: q+1
      41: q+1
      42: q^2+2q+1
      43: q^2+2q+1
      44: q^2+2q+1
      45: q+1
      46: q+1
      47: q+1
      49: q+1
      51: q+1
      53: q+1
      55: q+1
      56: q^2+2q+1
      57: q+1
      58: q^2+2q+1
      59: q+1
      60: q^2+2q+1
      61: q^2+2q+1
      62: q+1
      63: q+1
      64: q+1
      65: q+1
      66: q^2+2q+1
      67: q+1
      68: q+1
      69: q+1
      70: q^2+2q+1
      71: q+1
      72: 1
      73: 1
      74: q+1
      75: 1
      77: q+1
      79: q+1
      81: q+1
      82: q+1
      83: q+1
      84: q+1
      85: q+1
      86: 1
      87: q+1
      89: 1
      91: 1
      93: q+1
      95: 1
      96: q^2+2q+1
      97: q^2+2q+1
      98: q+1
      99: q+1
     100: q+1
     101: q+1
     102: 1
     103: 1
     104: q^2+2q+1
     105: q^2+2q+1
     106: q+1
     107: q+1
     108: q+1
     109: q+1
     110: q^2+2q+1
     111: q+1
     112: q+1
     113: q+1
     114: q^2+2q+1
     115: q+1
     116: 1
     117: 1
     118: q+1
     119: 1
     120: 1
     121: 1
     122: q+1
     123: 1
     125: 1
     127: 1
     129: 1
     131: q+1
     133: q+1
     134: q+1
     135: q+1
     137: 1
     139: 1
     141: q+1
     143: 1
     144: q+1
     145: q+1
     146: 1
     147: q+1
     148: q^2+2q+1
     149: q+1
     150: q+1
     151: 1
     152: q+1
     153: q+1
     154: q+1
     155: 1
     156: 1
     157: 1
     158: 1
     160: 1
     161: 1
     163: 1
     165: 1
     167: q+1
     169: 1
     170: q+1
     171: q+1
     172: q^2+2q+1
     173: q+1
     174: q+1
     175: q+1
     176: q^2+2q+1
     177: q+1
     178: 1
     179: 1
     180: q+1
     181: 1
     182: 1
     183: 1
     184: q+1
     185: 1
     187: 1
     189: 1
     191: 1
     193: 1
     195: 1
     197: 1
     201: q+1
     203: 1
     205: 1
     207: 1
     209: 1
     211: q+1
     213: 1
     214: q+1
     215: q+1
     216: q+1
     217: 1
     218: 1
     219: q+1
     220: q+1
     221: q+1
     222: q+1
     223: q+1
     224: 1
     225: q+1
     226: 1
     227: 1
     228: 1
     229: 1
     231: 1
     233: 1
     235: 1
     237: q+1
     239: 1
     240: 1
     241: 1
     243: 1
     244: 1
     246: 1
     248: q+1
     249: q+1
     250: q^2+2q+1
     251: q+1
     252: 1
     253: 1
     254: q+1
     255: 1
     256: 1
     257: 1
     258: q+1
     259: 1
     261: 1
     263: 1
     265: 1
     267: 1
     269: 1
     271: 1
     273: 1
     275: 1
     281: 1
     283: 1
     287: 1
     289: 1
     291: 1
     293: q+1
     295: 1
     296: q+1
     297: 1
     298: q+1
     302: 1
     306: 1
     309: q+1
     310: q+1
     311: q+1
     312: 1
     313: 1
     314: q+1
     315: q+1
     316: 1
     317: 1
     318: 1
     319: 1
     320: 1
     321: 1
     326: 1
     328: 1
     330: q+1
     332: 1
     333: 1
     334: 1
     335: 1
     336: 1
     338: 1
     340: 1
     342: 1
     343: 1
     344: q+1
     345: 1
     347: 1
     349: 1
     351: 1
     353: 1
     355: 1
     357: 1
     363: 1
     365: 1
     367: 1
     369: 1
     379: 1
     381: 1
     383: 1
     390: 1
     391: q+1
     395: 1
     399: 1
     403: q+1
     404: 1
     405: q+1
     407: 1
     408: 1
     409: 1
     414: 1
     416: 1
     418: q+1
     420: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     428: 1
     430: 1
     432: 1
     434: 1
     443: 1
     445: 1
     447: 1
     455: 1
     457: 1
     459: 1
     463: 1
     475: 1
     477: 1
     479: 1
     490: 1
     494: 1
     500: 1
     504: 1
     509: 1
     510: 1
     511: q+1
     513: 1
     516: 1
     521: 1
     522: 1
     525: 1
     527: 1
     538: 1
     550: 1
     552: 1
     554: 1
     560: 1
     574: 1
     588: 1
     592: 1
     599: 1
     607: 1
     611: 1
     613: 1
     642: 1
     644: 1
     674: 1
     678: 1
     684: 1
     720: 1

721:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       5: q^3+1
       6: q+1
       7: q+1
       8: q+1
       9: q^3+1
      10: q^3+1
      11: q+1
      12: q+1
      13: q^3+1
      14: q^3+1
      15: 1
      16: 1
      17: 1
      18: 1
      19: q+1
      20: q+1
      21: q+1
      22: q^3+1
      23: q+1
      24: q+1
      25: q+1
      26: q^3+1
      27: q+1
      28: q+1
      29: q^3+1
      30: q+1
      31: q+1
      32: q+1
      33: q+1
      34: q^3+1
      35: 1
      36: 1
      37: 1
      38: 1
      39: 1
      40: 1
      41: q+1
      42: 1
      43: q+1
      44: q+1
      45: 1
      46: 1
      47: 1
      48: 1
      50: 1
      52: 1
      54: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: q+1
      61: q+1
      62: q+1
      63: q^3+1
      64: q+1
      65: q+1
      66: q+1
      67: q^3+1
      68: q+1
      69: q+1
      70: q+1
      71: q^3+1
      72: 1
      73: 1
      74: 1
      75: 1
      76: 1
      78: 1
      80: 1
      82: 1
      83: q+1
      84: 1
      85: 1
      86: 1
      87: q+1
      88: 1
      90: 1
      92: 1
      94: 1
      96: 1
      97: q+1
      98: 1
      99: q+1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: q+1
     109: q+1
     110: q+1
     111: q^3+1
     112: q+1
     113: q+1
     114: q+1
     115: q^3+1
     116: 1
     117: 1
     118: 1
     119: 1
     120: 1
     121: 1
     122: 1
     123: 1
     124: 1
     126: 1
     128: 1
     130: 1
     132: 1
     134: 1
     135: 1
     136: 1
     138: 1
     140: 1
     142: 1
     144: 1
     145: q+1
     146: 1
     147: q+1
     148: 1
     149: q+1
     150: 1
     151: 1
     152: 1
     153: q+1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     160: 1
     161: 1
     162: 1
     164: 1
     166: 1
     168: 1
     170: 1
     171: 1
     172: 1
     173: 1
     174: q+1
     175: q+1
     176: q+1
     177: q^3+1
     178: 1
     179: 1
     180: 1
     181: 1
     182: 1
     183: 1
     184: 1
     185: 1
     186: 1
     188: 1
     190: 1
     192: 1
     194: 1
     196: 1
     200: 1
     202: 1
     204: 1
     206: 1
     208: 1
     210: 1
     212: 1
     214: 1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: q+1
     221: 1
     222: 1
     223: q+1
     224: 1
     225: q+1
     226: 1
     227: 1
     228: 1
     229: 1
     231: 1
     232: 1
     234: 1
     236: 1
     238: 1
     240: 1
     241: 1
     243: 1
     244: 1
     245: 1
     246: 1
     247: 1
     248: 1
     249: 1
     250: 1
     251: 1
     256: 1
     257: 1
     258: 1
     259: 1
     260: 1
     262: 1
     264: 1
     266: 1
     268: 1
     270: 1
     272: 1
     274: 1
     280: 1
     282: 1
     286: 1
     296: 1
     297: 1
     298: 1
     299: 1
     300: 1
     301: 1
     303: 1
     305: 1
     307: 1
     309: 1
     310: 1
     311: 1
     312: 1
     313: 1
     314: 1
     315: q+1
     316: 1
     317: 1
     321: 1
     325: 1
     327: 1
     329: 1
     331: 1
     333: 1
     334: 1
     335: 1
     336: 1
     338: 1
     339: 1
     340: 1
     341: 1
     350: 1
     354: 1
     356: 1
     358: 1
     360: 1
     362: 1
     364: 1
     366: 1
     368: 1
     378: 1
     380: 1
     382: 1
     390: 1
     391: 1
     392: 1
     393: 1
     394: 1
     396: 1
     398: 1
     400: 1
     402: 1
     403: 1
     404: 1
     405: 1
     406: 1
     407: 1
     421: 1
     425: 1
     428: 1
     429: 1
     430: 1
     431: 1
     444: 1
     448: 1
     450: 1
     452: 1
     454: 1
     456: 1
     460: 1
     462: 1
     478: 1
     488: 1
     489: 1
     491: 1
     493: 1
     495: 1
     497: 1
     498: 1
     509: 1
     510: 1
     511: 1
     512: 1
     514: 1
     535: 1
     539: 1
     541: 1
     549: 1
     551: 1
     555: 1
     557: 1
     596: 1
     600: 1
     601: 1
     629: 1
     645: 1
     647: 1
     685: 1
     721: 1

722:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       5: q^3+1
       6: q+1
       7: q+1
       8: q+1
       9: q^3+1
      10: q^3+1
      11: q+1
      12: q+1
      13: q^3+1
      14: q^3+1
      15: 1
      16: 1
      17: 1
      18: 1
      19: q+1
      20: q+1
      21: q+1
      22: q^3+1
      23: q+1
      24: q+1
      25: q+1
      26: q^3+1
      27: q+1
      28: q+1
      29: q^3+1
      30: q+1
      31: q+1
      32: q+1
      33: q+1
      34: q^3+1
      35: 1
      36: 1
      37: 1
      38: 1
      39: 1
      40: 1
      41: q+1
      42: 1
      43: q+1
      44: q+1
      45: 1
      46: 1
      47: 1
      49: 1
      51: 1
      53: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: q+1
      61: q+1
      62: q+1
      63: q^3+1
      64: q+1
      65: q+1
      66: q+1
      67: q^3+1
      68: q+1
      69: q+1
      70: q+1
      71: q^3+1
      72: 1
      73: 1
      74: 1
      75: 1
      77: 1
      79: 1
      81: 1
      82: 1
      83: q+1
      84: 1
      85: 1
      86: 1
      87: q+1
      89: 1
      91: 1
      93: 1
      95: 1
      96: 1
      97: q+1
      98: 1
      99: q+1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: q+1
     109: q+1
     110: q+1
     111: q^3+1
     112: q+1
     113: q+1
     114: q+1
     115: q^3+1
     116: 1
     117: 1
     118: 1
     119: 1
     120: 1
     121: 1
     122: 1
     123: 1
     125: 1
     127: 1
     129: 1
     131: 1
     133: 1
     134: 1
     135: 1
     137: 1
     139: 1
     141: 1
     143: 1
     144: 1
     145: q+1
     146: 1
     147: q+1
     148: 1
     149: q+1
     150: 1
     151: 1
     152: 1
     153: q+1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     160: 1
     161: 1
     163: 1
     165: 1
     167: 1
     169: 1
     170: 1
     171: 1
     172: 1
     173: 1
     174: q+1
     175: q+1
     176: q+1
     177: q^3+1
     178: 1
     179: 1
     180: 1
     181: 1
     182: 1
     183: 1
     184: 1
     185: 1
     187: 1
     189: 1
     191: 1
     193: 1
     195: 1
     197: 1
     201: 1
     203: 1
     205: 1
     207: 1
     209: 1
     211: 1
     213: 1
     214: 1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: q+1
     221: 1
     222: 1
     223: q+1
     224: 1
     225: q+1
     226: 1
     227: 1
     228: 1
     229: 1
     231: 1
     233: 1
     235: 1
     237: 1
     239: 1
     240: 1
     241: 1
     243: 1
     244: 1
     245: 1
     246: 1
     247: 1
     248: 1
     249: 1
     250: 1
     251: 1
     256: 1
     257: 1
     258: 1
     259: 1
     261: 1
     263: 1
     265: 1
     267: 1
     269: 1
     271: 1
     273: 1
     275: 1
     281: 1
     283: 1
     287: 1
     296: 1
     297: 1
     298: 1
     299: 1
     300: 1
     302: 1
     304: 1
     306: 1
     308: 1
     309: 1
     310: 1
     311: 1
     312: 1
     313: 1
     314: 1
     315: q+1
     316: 1
     317: 1
     321: 1
     326: 1
     328: 1
     330: 1
     332: 1
     333: 1
     334: 1
     335: 1
     336: 1
     338: 1
     339: 1
     340: 1
     341: 1
     351: 1
     355: 1
     357: 1
     359: 1
     361: 1
     363: 1
     365: 1
     367: 1
     369: 1
     379: 1
     381: 1
     383: 1
     390: 1
     391: 1
     392: 1
     393: 1
     395: 1
     397: 1
     399: 1
     401: 1
     402: 1
     403: 1
     404: 1
     405: 1
     406: 1
     407: 1
     421: 1
     425: 1
     428: 1
     429: 1
     430: 1
     431: 1
     445: 1
     449: 1
     451: 1
     453: 1
     455: 1
     457: 1
     461: 1
     463: 1
     479: 1
     488: 1
     490: 1
     492: 1
     494: 1
     496: 1
     497: 1
     498: 1
     509: 1
     510: 1
     511: 1
     512: 1
     514: 1
     536: 1
     540: 1
     542: 1
     550: 1
     552: 1
     556: 1
     558: 1
     596: 1
     600: 1
     601: 1
     630: 1
     646: 1
     648: 1
     685: 1
     722: 1

723:   0: q^2+2q+1
       1: q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: q+1
       6: q+1
       7: q+1
       8: q^2+2q+1
       9: q+1
      10: q+1
      11: q+1
      12: q^2+2q+1
      13: q+1
      15: q+1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      20: q+1
      21: q+1
      23: q^2+2q+1
      24: q^2+2q+1
      25: q+1
      26: q+1
      27: q^2+2q+1
      28: q+1
      29: q+1
      30: q^2+2q+1
      31: q^2+2q+1
      32: q+1
      33: q^2+2q+1
      34: q+1
      35: q+1
      36: 1
      37: q+1
      38: 1
      39: q+1
      40: q+1
      41: q+1
      42: q+1
      43: q+1
      44: q^2+2q+1
      45: 1
      46: 1
      47: q+1
      48: q+1
      50: 1
      52: q+1
      54: 1
      56: q+1
      57: q+1
      58: q+1
      60: q+1
      61: q+1
      62: q+1
      64: q^2+2q+1
      65: q+1
      66: q^2+2q+1
      67: q+1
      68: q^2+2q+1
      69: q+1
      70: q^2+2q+1
      71: q+1
      72: q+1
      73: 1
      74: q+1
      75: 1
      76: 1
      78: 1
      80: q+1
      83: q+1
      84: q+1
      85: q+1
      86: q+1
      87: q^2+2q+1
      88: q+1
      90: 1
      92: q+1
      94: 1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     100: 1
     101: 1
     102: 1
     103: 1
     104: q+1
     105: q+1
     106: q+1
     108: q+1
     109: q+1
     110: q+1
     112: q^2+2q+1
     113: q+1
     114: q^2+2q+1
     115: q+1
     116: q+1
     117: 1
     118: q+1
     119: 1
     120: q+1
     121: 1
     122: q+1
     123: 1
     124: q+1
     126: 1
     128: 1
     130: 1
     132: 1
     135: q+1
     136: q+1
     138: 1
     140: q+1
     142: 1
     145: q+1
     146: 1
     147: q+1
     148: q+1
     149: q+1
     150: q+1
     151: q+1
     152: q+1
     153: q^2+2q+1
     154: 1
     155: 1
     156: 1
     157: 1
     158: q+1
     160: 1
     161: 1
     162: q+1
     164: 1
     166: q+1
     168: 1
     170: q+1
     171: q+1
     172: q+1
     174: q+1
     175: q+1
     176: q+1
     178: 1
     179: 1
     180: 1
     182: q+1
     183: 1
     184: q+1
     185: 1
     186: 1
     188: 1
     190: q+1
     192: 1
     194: 1
     196: q+1
     200: 1
     202: 1
     204: 1
     206: 1
     208: 1
     210: 1
     216: q+1
     217: 1
     218: 1
     219: q+1
     220: q+1
     221: q+1
     223: q+1
     224: 1
     225: q+1
     226: 1
     228: 1
     229: 1
     231: 1
     232: q+1
     234: 1
     236: q+1
     238: 1
     240: 1
     241: q+1
     243: 1
     244: q+1
     245: 1
     246: q+1
     247: 1
     248: q+1
     249: q+1
     250: q+1
     252: 1
     253: 1
     254: 1
     256: 1
     257: 1
     258: 1
     262: 1
     264: 1
     266: 1
     268: 1
     270: 1
     272: q+1
     274: 1
     280: 1
     282: 1
     286: 1
     288: 1
     290: 1
     292: 1
     297: 1
     298: q+1
     299: 1
     300: 1
     301: q+1
     303: 1
     305: q+1
     307: 1
     311: q+1
     312: 1
     313: 1
     314: q+1
     315: q+1
     316: q+1
     319: 1
     320: 1
     321: 1
     325: 1
     327: 1
     329: 1
     333: 1
     335: 1
     336: 1
     338: 1
     339: 1
     340: 1
     342: 1
     343: 1
     344: 1
     348: 1
     352: 1
     354: 1
     356: 1
     358: 1
     360: 1
     362: 1
     364: 1
     366: 1
     368: q+1
     380: 1
     382: 1
     392: 1
     394: 1
     396: 1
     398: 1
     402: 1
     404: 1
     405: q+1
     406: 1
     407: 1
     409: 1
     413: 1
     415: 1
     417: 1
     423: 1
     424: 1
     425: 1
     428: 1
     429: 1
     430: 1
     432: 1
     433: 1
     434: 1
     446: 1
     448: 1
     450: 1
     454: 1
     456: 1
     458: 1
     460: 1
     462: 1
     476: 1
     489: 1
     491: 1
     493: 1
     497: 1
     499: 1
     501: 1
     503: 1
     508: 1
     509: 1
     512: 1
     513: 1
     514: 1
     522: 1
     525: 1
     526: 1
     527: 1
     539: 1
     543: 1
     549: 1
     553: 1
     555: 1
     557: 1
     559: 1
     587: 1
     589: 1
     591: 1
     597: 1
     599: 1
     600: 1
     602: 1
     631: 1
     641: 1
     645: 1
     649: 1
     686: 1
     723: 1

724:   0: q^2+2q+1
       1: q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: q+1
       6: q+1
       7: q+1
       8: q^2+2q+1
       9: q+1
      10: q+1
      11: q+1
      12: q^2+2q+1
      13: q+1
      15: q+1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      20: q+1
      21: q+1
      23: q^2+2q+1
      24: q^2+2q+1
      25: q+1
      26: q+1
      27: q^2+2q+1
      28: q+1
      29: q+1
      30: q^2+2q+1
      31: q^2+2q+1
      32: q+1
      33: q^2+2q+1
      34: q+1
      35: q+1
      36: 1
      37: q+1
      38: 1
      39: q+1
      40: q+1
      41: q+1
      42: q+1
      43: q+1
      44: q^2+2q+1
      45: 1
      46: 1
      47: q+1
      49: q+1
      51: 1
      53: q+1
      55: 1
      56: q+1
      57: q+1
      58: q+1
      60: q+1
      61: q+1
      62: q+1
      64: q^2+2q+1
      65: q+1
      66: q^2+2q+1
      67: q+1
      68: q^2+2q+1
      69: q+1
      70: q^2+2q+1
      71: q+1
      72: q+1
      73: 1
      74: q+1
      75: 1
      77: 1
      79: 1
      81: q+1
      83: q+1
      84: q+1
      85: q+1
      86: q+1
      87: q^2+2q+1
      89: q+1
      91: 1
      93: q+1
      95: 1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     100: 1
     101: 1
     102: 1
     103: 1
     104: q+1
     105: q+1
     106: q+1
     108: q+1
     109: q+1
     110: q+1
     112: q^2+2q+1
     113: q+1
     114: q^2+2q+1
     115: q+1
     116: q+1
     117: 1
     118: q+1
     119: 1
     120: q+1
     121: 1
     122: q+1
     123: 1
     125: q+1
     127: 1
     129: 1
     131: 1
     133: 1
     135: q+1
     137: q+1
     139: 1
     141: q+1
     143: 1
     145: q+1
     146: 1
     147: q+1
     148: q+1
     149: q+1
     150: q+1
     151: q+1
     152: q+1
     153: q^2+2q+1
     154: 1
     155: 1
     156: 1
     157: 1
     158: q+1
     160: 1
     161: 1
     163: q+1
     165: 1
     167: q+1
     169: 1
     170: q+1
     171: q+1
     172: q+1
     174: q+1
     175: q+1
     176: q+1
     178: 1
     179: 1
     180: 1
     182: q+1
     183: 1
     184: q+1
     185: 1
     187: 1
     189: 1
     191: q+1
     193: 1
     195: 1
     197: q+1
     201: 1
     203: 1
     205: 1
     207: 1
     209: 1
     211: 1
     216: q+1
     217: 1
     218: 1
     219: q+1
     220: q+1
     221: q+1
     223: q+1
     224: 1
     225: q+1
     226: 1
     228: 1
     229: 1
     231: 1
     233: q+1
     235: 1
     237: q+1
     239: 1
     240: 1
     241: q+1
     243: 1
     244: q+1
     245: 1
     246: q+1
     247: 1
     248: q+1
     249: q+1
     250: q+1
     252: 1
     253: 1
     254: 1
     256: 1
     257: 1
     258: 1
     263: 1
     265: 1
     267: 1
     269: 1
     271: 1
     273: q+1
     275: 1
     281: 1
     283: 1
     287: 1
     289: 1
     291: 1
     293: 1
     297: 1
     298: q+1
     299: 1
     300: 1
     302: q+1
     304: 1
     306: q+1
     308: 1
     311: q+1
     312: 1
     313: 1
     314: q+1
     315: q+1
     316: q+1
     319: 1
     320: 1
     321: 1
     326: 1
     328: 1
     330: 1
     333: 1
     335: 1
     336: 1
     338: 1
     339: 1
     340: 1
     342: 1
     343: 1
     344: 1
     349: 1
     353: 1
     355: 1
     357: 1
     359: 1
     361: 1
     363: 1
     365: 1
     367: 1
     369: q+1
     381: 1
     383: 1
     392: 1
     395: 1
     397: 1
     399: 1
     402: 1
     404: 1
     405: q+1
     406: 1
     407: 1
     409: 1
     414: 1
     416: 1
     418: 1
     423: 1
     424: 1
     425: 1
     428: 1
     429: 1
     430: 1
     432: 1
     433: 1
     434: 1
     447: 1
     449: 1
     451: 1
     455: 1
     457: 1
     459: 1
     461: 1
     463: 1
     477: 1
     490: 1
     492: 1
     494: 1
     497: 1
     500: 1
     502: 1
     504: 1
     508: 1
     509: 1
     512: 1
     513: 1
     514: 1
     522: 1
     525: 1
     526: 1
     527: 1
     540: 1
     544: 1
     550: 1
     554: 1
     556: 1
     558: 1
     560: 1
     588: 1
     590: 1
     592: 1
     597: 1
     599: 1
     600: 1
     602: 1
     632: 1
     642: 1
     646: 1
     650: 1
     686: 1
     724: 1

725:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: q^2+2q+1
       6: q^2+2q+1
       7: q^2+2q+1
       8: q^2+2q+1
       9: q^2+2q+1
      10: q^2+2q+1
      11: q^3+q^2+q+1
      12: q^2+2q+1
      13: q^3+q^2+q+1
      14: q^3+q^2+q+1
      15: q^2+2q+1
      16: q^2+2q+1
      17: q^2+2q+1
      18: q^3+q^2+q+1
      19: q^2+2q+1
      20: q^2+2q+1
      21: q^2+2q+1
      22: q^3+q^2+q+1
      23: 2q+1
      24: 2q+1
      25: q^2+q+1
      26: q^2+q+1
      27: q^2+2q+1
      28: q^2+2q+1
      29: q^2+2q+1
      30: q^2+2q+1
      31: q^2+2q+1
      32: q^2+2q+1
      33: q^2+2q+1
      34: q^2+2q+1
      35: q+1
      36: q+1
      37: q+1
      38: q+1
      39: q^2+q+1
      40: q^2+2q+1
      41: q^2+2q+1
      42: q^2+2q+1
      43: q^2+2q+1
      44: 2q+1
      45: q+1
      46: q+1
      47: q+1
      48: q+1
      50: q+1
      52: q+1
      54: q+1
      56: q^2+2q+1
      57: q^2+2q+1
      58: q^2+2q+1
      59: q^3+q^2+q+1
      60: 2q+1
      61: 2q+1
      62: q^2+q+1
      63: q^2+q+1
      64: 2q+1
      65: q^2+q+1
      66: 2q+1
      67: q^2+q+1
      68: q^2+2q+1
      69: q^2+2q+1
      70: q^2+2q+1
      71: q^2+2q+1
      72: q+1
      73: q+1
      74: q+1
      75: q+1
      76: q+1
      78: q+1
      80: q+1
      82: q^2+q+1
      83: q+1
      84: q^2+2q+1
      85: q^2+q+1
      86: q+1
      87: 2q+1
      88: q+1
      90: q+1
      92: q+1
      94: q+1
      96: q^2+2q+1
      97: 2q+1
      98: q^2+2q+1
      99: q^2+2q+1
     100: q+1
     101: q+1
     102: q+1
     103: q+1
     104: 2q+1
     105: 2q+1
     106: q^2+q+1
     107: q^2+q+1
     108: 2q+1
     109: q^2+q+1
     110: 2q+1
     111: q^2+q+1
     112: 2q+1
     113: q^2+q+1
     114: 2q+1
     115: q^2+q+1
     116: 1
     117: 1
     118: 1
     119: 1
     120: q+1
     121: q+1
     122: q+1
     123: q+1
     124: q+1
     126: q+1
     128: q+1
     130: q+1
     132: q+1
     134: q^2+q+1
     135: q+1
     136: 1
     138: 1
     140: 1
     142: 1
     144: q^2+q+1
     145: q+1
     146: q+1
     147: 2q+1
     148: 2q+1
     149: q+1
     150: q^2+q+1
     151: q+1
     152: q^2+2q+1
     153: 2q+1
     154: q+1
     155: 1
     156: 1
     157: q+1
     158: 1
     160: q+1
     161: q+1
     162: q+1
     164: q+1
     166: q+1
     168: q+1
     170: 2q+1
     171: q^2+q+1
     172: 2q+1
     173: q^2+q+1
     174: 2q+1
     175: q^2+q+1
     176: 2q+1
     177: q^2+q+1
     178: 1
     179: 1
     180: 1
     181: 1
     182: 1
     183: 1
     184: 1
     185: 1
     186: 1
     188: 1
     190: 1
     192: q+1
     194: q+1
     196: q+1
     200: q+1
     202: q+1
     204: q+1
     206: 1
     208: 1
     210: 1
     212: 1
     214: q+1
     215: q^2+q+1
     216: q+1
     217: q+1
     218: 1
     219: 2q+1
     220: q+1
     221: q+1
     222: q^2+q+1
     223: q+1
     224: q+1
     225: 2q+1
     226: 1
     227: 1
     228: 1
     229: 1
     231: 1
     232: 1
     234: 1
     236: 1
     238: 1
     240: 1
     241: 1
     243: q+1
     244: 1
     245: 1
     246: 1
     247: 1
     248: 2q+1
     249: q^2+q+1
     250: 2q+1
     251: q^2+q+1
     252: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     258: 1
     259: 1
     260: 1
     262: 1
     264: 1
     266: 1
     268: 1
     270: q+1
     272: 1
     274: q+1
     280: 1
     282: 1
     286: q+1
     288: 1
     290: 1
     292: 1
     294: 1
     296: q+1
     297: 1
     298: q+1
     299: 1
     300: 1
     301: 1
     303: 1
     305: 1
     307: 1
     309: q+1
     310: q^2+q+1
     311: q+1
     312: q+1
     313: 1
     314: 2q+1
     315: q+1
     316: 1
     317: 1
     318: 1
     319: 1
     320: 1
     321: 1
     325: 1
     327: 1
     329: 1
     331: 1
     333: 1
     334: 1
     335: 1
     336: 1
     338: 1
     339: 1
     340: 1
     341: 1
     342: 1
     343: 1
     344: 1
     345: 1
     346: 1
     348: 1
     350: 1
     352: 1
     354: 1
     356: 1
     358: 1
     360: 1
     362: 1
     364: 1
     366: q+1
     368: 1
     378: 1
     380: 1
     382: 1
     390: 1
     391: q+1
     392: 1
     393: 1
     394: 1
     396: 1
     398: 1
     400: 1
     402: 1
     403: q+1
     404: 1
     405: q+1
     406: 1
     407: 1
     408: 1
     409: 1
     413: 1
     415: 1
     417: 1
     419: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     432: 1
     433: 1
     434: 1
     435: 1
     442: 1
     444: 1
     446: 1
     448: 1
     450: 1
     452: 1
     454: 1
     456: 1
     458: 1
     460: 1
     462: 1
     474: 1
     476: 1
     478: 1
     498: 1
     499: 1
     501: 1
     503: 1
     505: 1
     507: 1
     508: 1
     510: 1
     511: q+1
     512: 1
     513: 1
     514: 1
     516: 1
     521: 1
     522: 1
     537: 1
     541: 1
     543: 1
     545: 1
     551: 1
     553: 1
     555: 1
     557: 1
     559: 1
     573: 1
     598: 1
     601: 1
     602: 1
     607: 1
     633: 1
     643: 1
     647: 1
     649: 1
     687: 1
     725: 1

726:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: q^2+2q+1
       6: q^2+2q+1
       7: q^2+2q+1
       8: q^2+2q+1
       9: q^2+2q+1
      10: q^2+2q+1
      11: q^3+q^2+q+1
      12: q^2+2q+1
      13: q^3+q^2+q+1
      14: q^3+q^2+q+1
      15: q^2+2q+1
      16: q^2+2q+1
      17: q^2+2q+1
      18: q^3+q^2+q+1
      19: q^2+2q+1
      20: q^2+2q+1
      21: q^2+2q+1
      22: q^3+q^2+q+1
      23: 2q+1
      24: 2q+1
      25: q^2+q+1
      26: q^2+q+1
      27: q^2+2q+1
      28: q^2+2q+1
      29: q^2+2q+1
      30: q^2+2q+1
      31: q^2+2q+1
      32: q^2+2q+1
      33: q^2+2q+1
      34: q^2+2q+1
      35: q+1
      36: q+1
      37: q+1
      38: q+1
      39: q^2+q+1
      40: q^2+2q+1
      41: q^2+2q+1
      42: q^2+2q+1
      43: q^2+2q+1
      44: 2q+1
      45: q+1
      46: q+1
      47: q+1
      49: q+1
      51: q+1
      53: q+1
      55: q+1
      56: q^2+2q+1
      57: q^2+2q+1
      58: q^2+2q+1
      59: q^3+q^2+q+1
      60: 2q+1
      61: 2q+1
      62: q^2+q+1
      63: q^2+q+1
      64: 2q+1
      65: q^2+q+1
      66: 2q+1
      67: q^2+q+1
      68: q^2+2q+1
      69: q^2+2q+1
      70: q^2+2q+1
      71: q^2+2q+1
      72: q+1
      73: q+1
      74: q+1
      75: q+1
      77: q+1
      79: q+1
      81: q+1
      82: q^2+q+1
      83: q+1
      84: q^2+2q+1
      85: q^2+q+1
      86: q+1
      87: 2q+1
      89: q+1
      91: q+1
      93: q+1
      95: q+1
      96: q^2+2q+1
      97: 2q+1
      98: q^2+2q+1
      99: q^2+2q+1
     100: q+1
     101: q+1
     102: q+1
     103: q+1
     104: 2q+1
     105: 2q+1
     106: q^2+q+1
     107: q^2+q+1
     108: 2q+1
     109: q^2+q+1
     110: 2q+1
     111: q^2+q+1
     112: 2q+1
     113: q^2+q+1
     114: 2q+1
     115: q^2+q+1
     116: 1
     117: 1
     118: 1
     119: 1
     120: q+1
     121: q+1
     122: q+1
     123: q+1
     125: q+1
     127: q+1
     129: q+1
     131: q+1
     133: q+1
     134: q^2+q+1
     135: q+1
     137: 1
     139: 1
     141: 1
     143: 1
     144: q^2+q+1
     145: q+1
     146: q+1
     147: 2q+1
     148: 2q+1
     149: q+1
     150: q^2+q+1
     151: q+1
     152: q^2+2q+1
     153: 2q+1
     154: q+1
     155: 1
     156: 1
     157: q+1
     158: 1
     160: q+1
     161: q+1
     163: q+1
     165: q+1
     167: q+1
     169: q+1
     170: 2q+1
     171: q^2+q+1
     172: 2q+1
     173: q^2+q+1
     174: 2q+1
     175: q^2+q+1
     176: 2q+1
     177: q^2+q+1
     178: 1
     179: 1
     180: 1
     181: 1
     182: 1
     183: 1
     184: 1
     185: 1
     187: 1
     189: 1
     191: 1
     193: q+1
     195: q+1
     197: q+1
     201: q+1
     203: q+1
     205: q+1
     207: 1
     209: 1
     211: 1
     213: 1
     214: q+1
     215: q^2+q+1
     216: q+1
     217: q+1
     218: 1
     219: 2q+1
     220: q+1
     221: q+1
     222: q^2+q+1
     223: q+1
     224: q+1
     225: 2q+1
     226: 1
     227: 1
     228: 1
     229: 1
     231: 1
     233: 1
     235: 1
     237: 1
     239: 1
     240: 1
     241: 1
     243: q+1
     244: 1
     245: 1
     246: 1
     247: 1
     248: 2q+1
     249: q^2+q+1
     250: 2q+1
     251: q^2+q+1
     252: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     258: 1
     259: 1
     261: 1
     263: 1
     265: 1
     267: 1
     269: 1
     271: q+1
     273: 1
     275: q+1
     281: 1
     283: 1
     287: q+1
     289: 1
     291: 1
     293: 1
     295: 1
     296: q+1
     297: 1
     298: q+1
     299: 1
     300: 1
     302: 1
     304: 1
     306: 1
     308: 1
     309: q+1
     310: q^2+q+1
     311: q+1
     312: q+1
     313: 1
     314: 2q+1
     315: q+1
     316: 1
     317: 1
     318: 1
     319: 1
     320: 1
     321: 1
     326: 1
     328: 1
     330: 1
     332: 1
     333: 1
     334: 1
     335: 1
     336: 1
     338: 1
     339: 1
     340: 1
     341: 1
     342: 1
     343: 1
     344: 1
     345: 1
     347: 1
     349: 1
     351: 1
     353: 1
     355: 1
     357: 1
     359: 1
     361: 1
     363: 1
     365: 1
     367: q+1
     369: 1
     379: 1
     381: 1
     383: 1
     390: 1
     391: q+1
     392: 1
     393: 1
     395: 1
     397: 1
     399: 1
     401: 1
     402: 1
     403: q+1
     404: 1
     405: q+1
     406: 1
     407: 1
     408: 1
     409: 1
     414: 1
     416: 1
     418: 1
     420: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     432: 1
     433: 1
     434: 1
     435: 1
     443: 1
     445: 1
     447: 1
     449: 1
     451: 1
     453: 1
     455: 1
     457: 1
     459: 1
     461: 1
     463: 1
     475: 1
     477: 1
     479: 1
     498: 1
     500: 1
     502: 1
     504: 1
     506: 1
     507: 1
     508: 1
     510: 1
     511: q+1
     512: 1
     513: 1
     514: 1
     516: 1
     521: 1
     522: 1
     538: 1
     542: 1
     544: 1
     546: 1
     552: 1
     554: 1
     556: 1
     558: 1
     560: 1
     574: 1
     598: 1
     601: 1
     602: 1
     607: 1
     634: 1
     644: 1
     648: 1
     650: 1
     687: 1
     726: 1

727:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+1
       3: q+1
       4: q^2+2q+1
       5: q^2+2q+1
       6: q+1
       7: q^2+2q+1
       8: q^2+2q+1
       9: q+1
      10: q^2+2q+1
      11: q+1
      12: q^3+2q^2+2q+1
      13: q+1
      14: q+1
      15: q^2+2q+1
      16: q+1
      17: q^2+2q+1
      18: q+1
      19: q^2+2q+1
      20: q+1
      21: q^2+2q+1
      22: q+1
      23: q^2+2q+1
      24: q^2+2q+1
      25: q+1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      30: q^2+2q+1
      31: q+1
      32: q+1
      33: q+1
      34: q+1
      35: q^2+2q+1
      36: q^2+2q+1
      37: q^2+2q+1
      38: q^2+2q+1
      39: q+1
      40: q+1
      41: q+1
      42: q+1
      43: q+1
      44: q+1
      45: q^2+2q+1
      46: q^2+2q+1
      47: q^2+2q+1
      48: q+1
      50: q+1
      52: q+1
      54: q+1
      56: q^2+2q+1
      57: q+1
      58: q^2+2q+1
      59: q+1
      60: q^2+2q+1
      61: q^2+2q+1
      62: q+1
      63: q+1
      64: q+1
      65: q+1
      66: q^2+2q+1
      67: q+1
      68: 1
      69: 1
      70: q+1
      71: 1
      72: q+1
      73: q+1
      74: q^2+2q+1
      75: q+1
      76: q+1
      78: q+1
      80: q+1
      82: q+1
      83: q+1
      84: q+1
      85: q+1
      86: q+1
      87: 1
      88: 1
      90: 1
      92: q+1
      94: 1
      96: q+1
      97: q+1
      98: 1
      99: 1
     100: q^2+2q+1
     101: q^2+2q+1
     102: q+1
     103: q+1
     104: q^2+2q+1
     105: q^2+2q+1
     106: q+1
     107: q+1
     108: q+1
     109: q+1
     110: q^2+2q+1
     111: q+1
     112: 1
     113: 1
     114: q+1
     115: 1
     116: q+1
     117: q+1
     118: q^2+2q+1
     119: q+1
     120: 1
     121: 1
     122: q+1
     123: 1
     124: 1
     126: 1
     128: 1
     130: q+1
     132: q+1
     134: q+1
     135: q+1
     136: 1
     138: 1
     140: q+1
     142: 1
     144: q+1
     145: q+1
     146: q+1
     147: 1
     148: q+1
     149: 1
     150: 1
     152: 1
     153: 1
     154: q^2+2q+1
     155: q+1
     156: q+1
     157: q+1
     158: q+1
     159: 1
     160: 1
     161: 1
     162: 1
     164: 1
     166: q+1
     168: 1
     170: q+1
     171: q+1
     172: q^2+2q+1
     173: q+1
     174: 1
     175: 1
     176: q+1
     177: 1
     178: q+1
     179: q+1
     180: q^2+2q+1
     181: q+1
     182: 1
     183: 1
     184: q+1
     185: 1
     186: 1
     188: 1
     190: 1
     192: 1
     194: 1
     198: 1
     200: q+1
     202: 1
     204: 1
     206: 1
     208: 1
     210: q+1
     212: 1
     214: q+1
     215: q+1
     216: q+1
     217: q+1
     218: q+1
     219: 1
     220: 1
     221: 1
     222: 1
     223: 1
     225: 1
     226: q+1
     227: q+1
     228: q+1
     229: q+1
     230: 1
     231: 1
     232: 1
     234: 1
     236: q+1
     238: 1
     240: 1
     242: 1
     243: 1
     244: 1
     246: 1
     248: 1
     249: 1
     250: q+1
     251: 1
     252: q+1
     253: q+1
     254: q^2+2q+1
     255: q+1
     256: 1
     257: 1
     258: q+1
     259: 1
     260: 1
     262: 1
     264: 1
     266: 1
     268: 1
     270: 1
     276: 1
     278: 1
     280: 1
     282: 1
     286: 1
     288: 1
     290: 1
     292: q+1
     294: 1
     296: q+1
     297: q+1
     298: 1
     301: 1
     305: 1
     309: 1
     310: 1
     311: 1
     314: 1
     315: 1
     317: q+1
     318: q+1
     319: q+1
     320: q+1
     321: q+1
     322: 1
     323: 1
     324: 1
     325: 1
     327: 1
     329: q+1
     331: 1
     333: 1
     334: 1
     335: 1
     337: 1
     338: 1
     340: 1
     342: 1
     343: 1
     344: q+1
     345: 1
     346: 1
     348: 1
     350: 1
     352: 1
     354: 1
     356: 1
     370: 1
     372: 1
     374: 1
     376: 1
     378: 1
     380: 1
     382: 1
     390: q+1
     391: 1
     394: 1
     398: 1
     403: 1
     405: 1
     408: q+1
     409: q+1
     410: 1
     412: 1
     413: 1
     415: 1
     417: q+1
     419: 1
     421: 1
     422: 1
     423: 1
     426: 1
     427: 1
     428: 1
     430: 1
     432: 1
     434: 1
     442: 1
     444: 1
     446: 1
     464: 1
     466: 1
     468: 1
     472: 1
     474: 1
     476: 1
     478: 1
     489: 1
     493: 1
     499: 1
     503: 1
     511: 1
     515: 1
     516: q+1
     517: 1
     519: 1
     521: 1
     523: 1
     525: 1
     527: 1
     537: 1
     561: 1
     563: 1
     565: 1
     571: 1
     573: 1
     587: 1
     591: 1
     603: 1
     608: 1
     611: 1
     613: 1
     651: 1
     653: 1
     673: 1
     677: 1
     688: 1
     727: 1

728:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+1
       3: q+1
       4: q^2+2q+1
       5: q^2+2q+1
       6: q+1
       7: q^2+2q+1
       8: q^2+2q+1
       9: q+1
      10: q^2+2q+1
      11: q+1
      12: q^3+2q^2+2q+1
      13: q+1
      14: q+1
      15: q^2+2q+1
      16: q+1
      17: q^2+2q+1
      18: q+1
      19: q^2+2q+1
      20: q+1
      21: q^2+2q+1
      22: q+1
      23: q^2+2q+1
      24: q^2+2q+1
      25: q+1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      30: q^2+2q+1
      31: q+1
      32: q+1
      33: q+1
      34: q+1
      35: q^2+2q+1
      36: q^2+2q+1
      37: q^2+2q+1
      38: q^2+2q+1
      39: q+1
      40: q+1
      41: q+1
      42: q+1
      43: q+1
      44: q+1
      45: q^2+2q+1
      46: q^2+2q+1
      47: q^2+2q+1
      49: q+1
      51: q+1
      53: q+1
      55: q+1
      56: q^2+2q+1
      57: q+1
      58: q^2+2q+1
      59: q+1
      60: q^2+2q+1
      61: q^2+2q+1
      62: q+1
      63: q+1
      64: q+1
      65: q+1
      66: q^2+2q+1
      67: q+1
      68: 1
      69: 1
      70: q+1
      71: 1
      72: q+1
      73: q+1
      74: q^2+2q+1
      75: q+1
      77: q+1
      79: q+1
      81: q+1
      82: q+1
      83: q+1
      84: q+1
      85: q+1
      86: q+1
      87: 1
      89: 1
      91: 1
      93: q+1
      95: 1
      96: q+1
      97: q+1
      98: 1
      99: 1
     100: q^2+2q+1
     101: q^2+2q+1
     102: q+1
     103: q+1
     104: q^2+2q+1
     105: q^2+2q+1
     106: q+1
     107: q+1
     108: q+1
     109: q+1
     110: q^2+2q+1
     111: q+1
     112: 1
     113: 1
     114: q+1
     115: 1
     116: q+1
     117: q+1
     118: q^2+2q+1
     119: q+1
     120: 1
     121: 1
     122: q+1
     123: 1
     125: 1
     127: 1
     129: 1
     131: q+1
     133: q+1
     134: q+1
     135: q+1
     137: 1
     139: 1
     141: q+1
     143: 1
     144: q+1
     145: q+1
     146: q+1
     147: 1
     148: q+1
     149: 1
     150: 1
     152: 1
     153: 1
     154: q^2+2q+1
     155: q+1
     156: q+1
     157: q+1
     158: q+1
     159: 1
     160: 1
     161: 1
     163: 1
     165: 1
     167: q+1
     169: 1
     170: q+1
     171: q+1
     172: q^2+2q+1
     173: q+1
     174: 1
     175: 1
     176: q+1
     177: 1
     178: q+1
     179: q+1
     180: q^2+2q+1
     181: q+1
     182: 1
     183: 1
     184: q+1
     185: 1
     187: 1
     189: 1
     191: 1
     193: 1
     195: 1
     199: 1
     201: q+1
     203: 1
     205: 1
     207: 1
     209: 1
     211: q+1
     213: 1
     214: q+1
     215: q+1
     216: q+1
     217: q+1
     218: q+1
     219: 1
     220: 1
     221: 1
     222: 1
     223: 1
     225: 1
     226: q+1
     227: q+1
     228: q+1
     229: q+1
     230: 1
     231: 1
     233: 1
     235: 1
     237: q+1
     239: 1
     240: 1
     242: 1
     243: 1
     244: 1
     246: 1
     248: 1
     249: 1
     250: q+1
     251: 1
     252: q+1
     253: q+1
     254: q^2+2q+1
     255: q+1
     256: 1
     257: 1
     258: q+1
     259: 1
     261: 1
     263: 1
     265: 1
     267: 1
     269: 1
     271: 1
     277: 1
     279: 1
     281: 1
     283: 1
     287: 1
     289: 1
     291: 1
     293: q+1
     295: 1
     296: q+1
     297: q+1
     298: 1
     302: 1
     306: 1
     309: 1
     310: 1
     311: 1
     314: 1
     315: 1
     317: q+1
     318: q+1
     319: q+1
     320: q+1
     321: q+1
     322: 1
     323: 1
     324: 1
     326: 1
     328: 1
     330: q+1
     332: 1
     333: 1
     334: 1
     335: 1
     337: 1
     338: 1
     340: 1
     342: 1
     343: 1
     344: q+1
     345: 1
     347: 1
     349: 1
     351: 1
     353: 1
     355: 1
     357: 1
     371: 1
     373: 1
     375: 1
     377: 1
     379: 1
     381: 1
     383: 1
     390: q+1
     391: 1
     395: 1
     399: 1
     403: 1
     405: 1
     408: q+1
     409: q+1
     410: 1
     412: 1
     414: 1
     416: 1
     418: q+1
     420: 1
     421: 1
     422: 1
     423: 1
     426: 1
     427: 1
     428: 1
     430: 1
     432: 1
     434: 1
     443: 1
     445: 1
     447: 1
     465: 1
     467: 1
     469: 1
     473: 1
     475: 1
     477: 1
     479: 1
     490: 1
     494: 1
     500: 1
     504: 1
     511: 1
     515: 1
     516: q+1
     517: 1
     519: 1
     521: 1
     523: 1
     525: 1
     527: 1
     538: 1
     562: 1
     564: 1
     566: 1
     572: 1
     574: 1
     588: 1
     592: 1
     603: 1
     608: 1
     611: 1
     613: 1
     652: 1
     654: 1
     674: 1
     678: 1
     688: 1
     728: 1

729:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       5: q^3+1
       6: q+1
       7: q+1
       8: q+1
       9: q^3+1
      10: q^3+1
      11: q+1
      12: q+1
      13: q^3+1
      14: q^3+1
      15: 1
      16: 1
      17: 1
      18: 1
      19: q+1
      20: q+1
      21: q+1
      22: q^3+1
      23: q+1
      24: q+1
      25: q+1
      26: q^3+1
      27: q+1
      28: q+1
      29: q^3+1
      30: q+1
      31: 1
      32: 1
      33: 1
      34: 1
      35: q+1
      36: q+1
      37: q+1
      38: q^3+1
      39: 1
      40: 1
      41: q+1
      42: 1
      43: 1
      44: 1
      45: 1
      46: q+1
      47: q+1
      48: 1
      50: 1
      52: 1
      54: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: q+1
      61: q+1
      62: q+1
      63: q^3+1
      64: q+1
      65: q+1
      66: q+1
      67: q^3+1
      68: 1
      69: 1
      70: 1
      71: 1
      72: q+1
      73: q+1
      74: q+1
      75: q^3+1
      76: 1
      78: 1
      80: 1
      82: 1
      83: q+1
      84: 1
      85: 1
      86: q+1
      87: 1
      88: 1
      90: 1
      92: 1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: q+1
     102: 1
     103: q+1
     104: 1
     105: 1
     106: 1
     107: 1
     108: q+1
     109: q+1
     110: q+1
     111: q^3+1
     112: 1
     113: 1
     114: 1
     115: 1
     116: q+1
     117: q+1
     118: q+1
     119: q^3+1
     120: 1
     121: 1
     122: 1
     123: 1
     124: 1
     126: 1
     128: 1
     130: 1
     132: 1
     134: 1
     135: 1
     136: 1
     138: 1
     140: 1
     142: 1
     144: 1
     145: q+1
     146: q+1
     147: 1
     148: 1
     149: 1
     150: 1
     152: 1
     153: 1
     154: 1
     155: q+1
     156: 1
     157: 1
     158: q+1
     159: 1
     160: 1
     161: 1
     162: 1
     164: 1
     166: 1
     168: 1
     170: 1
     171: 1
     172: 1
     173: 1
     174: 1
     175: 1
     176: 1
     177: 1
     178: q+1
     179: q+1
     180: q+1
     181: q^3+1
     182: 1
     183: 1
     184: 1
     185: 1
     186: 1
     188: 1
     190: 1
     192: 1
     194: 1
     198: 1
     200: 1
     202: 1
     204: 1
     206: 1
     208: 1
     210: 1
     212: 1
     214: 1
     215: 1
     216: 1
     217: 1
     218: q+1
     219: 1
     220: 1
     221: 1
     222: 1
     223: 1
     225: 1
     226: 1
     227: 1
     228: q+1
     229: q+1
     230: 1
     231: 1
     232: 1
     234: 1
     236: 1
     238: 1
     240: 1
     242: 1
     243: 1
     244: 1
     245: 1
     246: 1
     247: 1
     252: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     258: 1
     259: 1
     260: 1
     262: 1
     264: 1
     266: 1
     268: 1
     270: 1
     276: 1
     278: 1
     280: 1
     282: 1
     286: 1
     296: 1
     297: 1
     298: 1
     299: 1
     300: 1
     301: 1
     303: 1
     305: 1
     307: 1
     309: 1
     315: 1
     317: 1
     318: 1
     319: 1
     320: 1
     321: q+1
     322: 1
     323: 1
     324: 1
     325: 1
     327: 1
     329: 1
     331: 1
     333: 1
     334: 1
     335: 1
     337: 1
     338: 1
     339: 1
     340: 1
     341: 1
     350: 1
     354: 1
     356: 1
     358: 1
     360: 1
     370: 1
     372: 1
     374: 1
     376: 1
     378: 1
     380: 1
     382: 1
     390: 1
     391: 1
     392: 1
     393: 1
     394: 1
     396: 1
     398: 1
     400: 1
     402: 1
     408: 1
     409: 1
     410: 1
     411: 1
     412: 1
     421: 1
     427: 1
     428: 1
     429: 1
     430: 1
     431: 1
     444: 1
     448: 1
     450: 1
     452: 1
     464: 1
     466: 1
     470: 1
     472: 1
     478: 1
     488: 1
     489: 1
     491: 1
     493: 1
     495: 1
     497: 1
     498: 1
     515: 1
     516: 1
     517: 1
     518: 1
     520: 1
     535: 1
     539: 1
     541: 1
     561: 1
     563: 1
     567: 1
     569: 1
     596: 1
     604: 1
     605: 1
     629: 1
     655: 1
     657: 1
     689: 1
     729: 1

730:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       5: q^3+1
       6: q+1
       7: q+1
       8: q+1
       9: q^3+1
      10: q^3+1
      11: q+1
      12: q+1
      13: q^3+1
      14: q^3+1
      15: 1
      16: 1
      17: 1
      18: 1
      19: q+1
      20: q+1
      21: q+1
      22: q^3+1
      23: q+1
      24: q+1
      25: q+1
      26: q^3+1
      27: q+1
      28: q+1
      29: q^3+1
      30: q+1
      31: 1
      32: 1
      33: 1
      34: 1
      35: q+1
      36: q+1
      37: q+1
      38: q^3+1
      39: 1
      40: 1
      41: q+1
      42: 1
      43: 1
      44: 1
      45: 1
      46: q+1
      47: q+1
      49: 1
      51: 1
      53: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: q+1
      61: q+1
      62: q+1
      63: q^3+1
      64: q+1
      65: q+1
      66: q+1
      67: q^3+1
      68: 1
      69: 1
      70: 1
      71: 1
      72: q+1
      73: q+1
      74: q+1
      75: q^3+1
      77: 1
      79: 1
      81: 1
      82: 1
      83: q+1
      84: 1
      85: 1
      86: q+1
      87: 1
      89: 1
      91: 1
      93: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: q+1
     102: 1
     103: q+1
     104: 1
     105: 1
     106: 1
     107: 1
     108: q+1
     109: q+1
     110: q+1
     111: q^3+1
     112: 1
     113: 1
     114: 1
     115: 1
     116: q+1
     117: q+1
     118: q+1
     119: q^3+1
     120: 1
     121: 1
     122: 1
     123: 1
     125: 1
     127: 1
     129: 1
     131: 1
     133: 1
     134: 1
     135: 1
     137: 1
     139: 1
     141: 1
     143: 1
     144: 1
     145: q+1
     146: q+1
     147: 1
     148: 1
     149: 1
     150: 1
     152: 1
     153: 1
     154: 1
     155: q+1
     156: 1
     157: 1
     158: q+1
     159: 1
     160: 1
     161: 1
     163: 1
     165: 1
     167: 1
     169: 1
     170: 1
     171: 1
     172: 1
     173: 1
     174: 1
     175: 1
     176: 1
     177: 1
     178: q+1
     179: q+1
     180: q+1
     181: q^3+1
     182: 1
     183: 1
     184: 1
     185: 1
     187: 1
     189: 1
     191: 1
     193: 1
     195: 1
     199: 1
     201: 1
     203: 1
     205: 1
     207: 1
     209: 1
     211: 1
     213: 1
     214: 1
     215: 1
     216: 1
     217: 1
     218: q+1
     219: 1
     220: 1
     221: 1
     222: 1
     223: 1
     225: 1
     226: 1
     227: 1
     228: q+1
     229: q+1
     230: 1
     231: 1
     233: 1
     235: 1
     237: 1
     239: 1
     240: 1
     242: 1
     243: 1
     244: 1
     245: 1
     246: 1
     247: 1
     252: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     258: 1
     259: 1
     261: 1
     263: 1
     265: 1
     267: 1
     269: 1
     271: 1
     277: 1
     279: 1
     281: 1
     283: 1
     287: 1
     296: 1
     297: 1
     298: 1
     299: 1
     300: 1
     302: 1
     304: 1
     306: 1
     308: 1
     309: 1
     315: 1
     317: 1
     318: 1
     319: 1
     320: 1
     321: q+1
     322: 1
     323: 1
     324: 1
     326: 1
     328: 1
     330: 1
     332: 1
     333: 1
     334: 1
     335: 1
     337: 1
     338: 1
     339: 1
     340: 1
     341: 1
     351: 1
     355: 1
     357: 1
     359: 1
     361: 1
     371: 1
     373: 1
     375: 1
     377: 1
     379: 1
     381: 1
     383: 1
     390: 1
     391: 1
     392: 1
     393: 1
     395: 1
     397: 1
     399: 1
     401: 1
     402: 1
     408: 1
     409: 1
     410: 1
     411: 1
     412: 1
     421: 1
     427: 1
     428: 1
     429: 1
     430: 1
     431: 1
     445: 1
     449: 1
     451: 1
     453: 1
     465: 1
     467: 1
     471: 1
     473: 1
     479: 1
     488: 1
     490: 1
     492: 1
     494: 1
     496: 1
     497: 1
     498: 1
     515: 1
     516: 1
     517: 1
     518: 1
     520: 1
     536: 1
     540: 1
     542: 1
     562: 1
     564: 1
     568: 1
     570: 1
     596: 1
     604: 1
     605: 1
     630: 1
     656: 1
     658: 1
     689: 1
     730: 1

731:   0: q^2+2q+1
       1: q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: q+1
       6: q+1
       7: q+1
       8: q^2+2q+1
       9: q+1
      10: q+1
      11: q+1
      12: q^2+2q+1
      13: q+1
      15: q+1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      20: q+1
      21: q+1
      23: q^2+2q+1
      24: q^2+2q+1
      25: q+1
      26: q+1
      27: q^2+2q+1
      28: q+1
      29: q+1
      30: q^2+2q+1
      31: q+1
      32: 1
      33: q+1
      34: 1
      35: q^2+2q+1
      36: q+1
      37: q^2+2q+1
      38: q+1
      39: q+1
      40: q+1
      41: q+1
      42: 1
      43: 1
      44: q+1
      45: q+1
      46: q+1
      47: q^2+2q+1
      48: q+1
      50: 1
      52: q+1
      54: 1
      56: q+1
      57: q+1
      58: q+1
      60: q+1
      61: q+1
      62: q+1
      64: q^2+2q+1
      65: q+1
      66: q^2+2q+1
      67: q+1
      68: q+1
      69: 1
      70: q+1
      71: 1
      72: q^2+2q+1
      73: q+1
      74: q^2+2q+1
      75: q+1
      76: 1
      78: 1
      80: q+1
      83: q+1
      84: q+1
      85: q+1
      86: q^2+2q+1
      87: q+1
      88: q+1
      90: 1
      92: q+1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: q+1
     101: q+1
     102: q+1
     103: q+1
     104: q+1
     105: q+1
     106: q+1
     108: q+1
     109: q+1
     110: q+1
     112: q+1
     113: 1
     114: q+1
     115: 1
     116: q^2+2q+1
     117: q+1
     118: q^2+2q+1
     119: q+1
     120: q+1
     121: 1
     122: q+1
     123: 1
     124: q+1
     126: 1
     128: 1
     130: 1
     132: 1
     135: q+1
     136: q+1
     138: 1
     140: q+1
     142: 1
     145: q+1
     146: q+1
     147: 1
     148: 1
     149: 1
     150: 1
     152: 1
     153: q+1
     154: q+1
     155: q+1
     156: q+1
     157: q+1
     158: q^2+2q+1
     159: q+1
     160: 1
     161: 1
     162: q+1
     164: 1
     166: q+1
     168: 1
     170: q+1
     171: q+1
     172: q+1
     174: 1
     175: 1
     176: 1
     178: q+1
     179: q+1
     180: q+1
     182: q+1
     183: 1
     184: q+1
     185: 1
     186: 1
     188: 1
     190: q+1
     192: 1
     194: 1
     198: q+1
     200: 1
     202: 1
     204: 1
     206: 1
     208: 1
     210: 1
     216: q+1
     217: q+1
     218: q+1
     219: 1
     220: 1
     221: 1
     223: 1
     225: 1
     226: q+1
     228: q+1
     229: q+1
     230: 1
     231: 1
     232: q+1
     234: 1
     236: q+1
     238: 1
     240: 1
     242: q+1
     243: 1
     244: q+1
     245: 1
     246: q+1
     247: 1
     248: 1
     249: 1
     250: 1
     252: q+1
     253: q+1
     254: q+1
     256: 1
     257: 1
     258: 1
     262: 1
     264: 1
     266: 1
     268: 1
     270: 1
     276: q+1
     278: 1
     280: 1
     282: 1
     286: 1
     288: 1
     290: 1
     292: 1
     297: q+1
     298: 1
     299: 1
     300: 1
     301: q+1
     303: 1
     305: q+1
     307: 1
     311: 1
     314: 1
     315: 1
     319: q+1
     320: q+1
     321: q+1
     322: 1
     323: 1
     324: q+1
     325: 1
     327: 1
     329: 1
     333: 1
     335: 1
     337: 1
     338: 1
     339: 1
     340: 1
     342: 1
     343: 1
     344: 1
     348: 1
     352: 1
     354: 1
     356: 1
     358: 1
     360: 1
     370: 1
     372: 1
     374: 1
     376: q+1
     380: 1
     382: 1
     392: 1
     394: 1
     396: 1
     398: 1
     402: 1
     405: 1
     409: q+1
     410: 1
     411: 1
     412: 1
     413: 1
     415: 1
     417: 1
     423: 1
     426: 1
     427: 1
     428: 1
     429: 1
     430: 1
     432: 1
     433: 1
     434: 1
     446: 1
     448: 1
     450: 1
     464: 1
     466: 1
     468: 1
     470: 1
     472: 1
     476: 1
     489: 1
     491: 1
     493: 1
     497: 1
     499: 1
     501: 1
     503: 1
     508: 1
     515: 1
     518: 1
     519: 1
     520: 1
     523: 1
     525: 1
     526: 1
     527: 1
     539: 1
     543: 1
     561: 1
     565: 1
     567: 1
     569: 1
     571: 1
     587: 1
     589: 1
     591: 1
     597: 1
     603: 1
     604: 1
     606: 1
     631: 1
     651: 1
     655: 1
     659: 1
     690: 1
     731: 1

732:   0: q^2+2q+1
       1: q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: q+1
       6: q+1
       7: q+1
       8: q^2+2q+1
       9: q+1
      10: q+1
      11: q+1
      12: q^2+2q+1
      13: q+1
      15: q+1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      20: q+1
      21: q+1
      23: q^2+2q+1
      24: q^2+2q+1
      25: q+1
      26: q+1
      27: q^2+2q+1
      28: q+1
      29: q+1
      30: q^2+2q+1
      31: q+1
      32: 1
      33: q+1
      34: 1
      35: q^2+2q+1
      36: q+1
      37: q^2+2q+1
      38: q+1
      39: q+1
      40: q+1
      41: q+1
      42: 1
      43: 1
      44: q+1
      45: q+1
      46: q+1
      47: q^2+2q+1
      49: q+1
      51: 1
      53: q+1
      55: 1
      56: q+1
      57: q+1
      58: q+1
      60: q+1
      61: q+1
      62: q+1
      64: q^2+2q+1
      65: q+1
      66: q^2+2q+1
      67: q+1
      68: q+1
      69: 1
      70: q+1
      71: 1
      72: q^2+2q+1
      73: q+1
      74: q^2+2q+1
      75: q+1
      77: 1
      79: 1
      81: q+1
      83: q+1
      84: q+1
      85: q+1
      86: q^2+2q+1
      87: q+1
      89: q+1
      91: 1
      93: q+1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: q+1
     101: q+1
     102: q+1
     103: q+1
     104: q+1
     105: q+1
     106: q+1
     108: q+1
     109: q+1
     110: q+1
     112: q+1
     113: 1
     114: q+1
     115: 1
     116: q^2+2q+1
     117: q+1
     118: q^2+2q+1
     119: q+1
     120: q+1
     121: 1
     122: q+1
     123: 1
     125: q+1
     127: 1
     129: 1
     131: 1
     133: 1
     135: q+1
     137: q+1
     139: 1
     141: q+1
     143: 1
     145: q+1
     146: q+1
     147: 1
     148: 1
     149: 1
     150: 1
     152: 1
     153: q+1
     154: q+1
     155: q+1
     156: q+1
     157: q+1
     158: q^2+2q+1
     159: q+1
     160: 1
     161: 1
     163: q+1
     165: 1
     167: q+1
     169: 1
     170: q+1
     171: q+1
     172: q+1
     174: 1
     175: 1
     176: 1
     178: q+1
     179: q+1
     180: q+1
     182: q+1
     183: 1
     184: q+1
     185: 1
     187: 1
     189: 1
     191: q+1
     193: 1
     195: 1
     199: q+1
     201: 1
     203: 1
     205: 1
     207: 1
     209: 1
     211: 1
     216: q+1
     217: q+1
     218: q+1
     219: 1
     220: 1
     221: 1
     223: 1
     225: 1
     226: q+1
     228: q+1
     229: q+1
     230: 1
     231: 1
     233: q+1
     235: 1
     237: q+1
     239: 1
     240: 1
     242: q+1
     243: 1
     244: q+1
     245: 1
     246: q+1
     247: 1
     248: 1
     249: 1
     250: 1
     252: q+1
     253: q+1
     254: q+1
     256: 1
     257: 1
     258: 1
     263: 1
     265: 1
     267: 1
     269: 1
     271: 1
     277: q+1
     279: 1
     281: 1
     283: 1
     287: 1
     289: 1
     291: 1
     293: 1
     297: q+1
     298: 1
     299: 1
     300: 1
     302: q+1
     304: 1
     306: q+1
     308: 1
     311: 1
     314: 1
     315: 1
     319: q+1
     320: q+1
     321: q+1
     322: 1
     323: 1
     324: q+1
     326: 1
     328: 1
     330: 1
     333: 1
     335: 1
     337: 1
     338: 1
     339: 1
     340: 1
     342: 1
     343: 1
     344: 1
     349: 1
     353: 1
     355: 1
     357: 1
     359: 1
     361: 1
     371: 1
     373: 1
     375: 1
     377: q+1
     381: 1
     383: 1
     392: 1
     395: 1
     397: 1
     399: 1
     402: 1
     405: 1
     409: q+1
     410: 1
     411: 1
     412: 1
     414: 1
     416: 1
     418: 1
     423: 1
     426: 1
     427: 1
     428: 1
     429: 1
     430: 1
     432: 1
     433: 1
     434: 1
     447: 1
     449: 1
     451: 1
     465: 1
     467: 1
     469: 1
     471: 1
     473: 1
     477: 1
     490: 1
     492: 1
     494: 1
     497: 1
     500: 1
     502: 1
     504: 1
     508: 1
     515: 1
     518: 1
     519: 1
     520: 1
     523: 1
     525: 1
     526: 1
     527: 1
     540: 1
     544: 1
     562: 1
     566: 1
     568: 1
     570: 1
     572: 1
     588: 1
     590: 1
     592: 1
     597: 1
     603: 1
     604: 1
     606: 1
     632: 1
     652: 1
     656: 1
     660: 1
     690: 1
     732: 1

733:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: q^2+2q+1
       6: q^2+2q+1
       7: q^2+2q+1
       8: q^2+2q+1
       9: q^2+2q+1
      10: q^2+2q+1
      11: q^3+q^2+q+1
      12: q^2+2q+1
      13: q^3+q^2+q+1
      14: q^3+q^2+q+1
      15: q^2+2q+1
      16: q^2+2q+1
      17: q^2+2q+1
      18: q^3+q^2+q+1
      19: q^2+2q+1
      20: q^2+2q+1
      21: q^2+2q+1
      22: q^3+q^2+q+1
      23: 2q+1
      24: 2q+1
      25: q^2+q+1
      26: q^2+q+1
      27: q^2+2q+1
      28: q^2+2q+1
      29: q^2+2q+1
      30: q^2+2q+1
      31: q+1
      32: q+1
      33: q+1
      34: q+1
      35: q^2+2q+1
      36: q^2+2q+1
      37: q^2+2q+1
      38: q^2+2q+1
      39: q^2+q+1
      40: q^2+2q+1
      41: q^2+2q+1
      42: q+1
      43: q+1
      44: q+1
      45: q^2+2q+1
      46: q^2+2q+1
      47: 2q+1
      48: q+1
      50: q+1
      52: q+1
      54: q+1
      56: q^2+2q+1
      57: q^2+2q+1
      58: q^2+2q+1
      59: q^3+q^2+q+1
      60: 2q+1
      61: 2q+1
      62: q^2+q+1
      63: q^2+q+1
      64: 2q+1
      65: q^2+q+1
      66: 2q+1
      67: q^2+q+1
      68: q+1
      69: q+1
      70: q+1
      71: q+1
      72: q^2+2q+1
      73: q^2+2q+1
      74: q^2+2q+1
      75: q^2+2q+1
      76: q+1
      78: q+1
      80: q+1
      82: q^2+q+1
      83: q+1
      84: q^2+2q+1
      85: q^2+q+1
      86: 2q+1
      87: q+1
      88: q+1
      90: q+1
      92: q+1
      94: q+1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     100: q^2+2q+1
     101: 2q+1
     102: q^2+2q+1
     103: q^2+2q+1
     104: 2q+1
     105: 2q+1
     106: q^2+q+1
     107: q^2+q+1
     108: 2q+1
     109: q^2+q+1
     110: 2q+1
     111: q^2+q+1
     112: 1
     113: 1
     114: 1
     115: 1
     116: 2q+1
     117: q^2+q+1
     118: 2q+1
     119: q^2+q+1
     120: q+1
     121: q+1
     122: q+1
     123: q+1
     124: q+1
     126: q+1
     128: q+1
     130: q+1
     132: q+1
     134: q^2+q+1
     135: q+1
     136: 1
     138: 1
     140: 1
     142: 1
     144: q^2+q+1
     145: q+1
     146: 2q+1
     147: q+1
     148: q+1
     149: 1
     150: 1
     152: q+1
     153: 1
     154: 2q+1
     155: q+1
     156: q^2+q+1
     157: q^2+2q+1
     158: 2q+1
     159: q+1
     160: q+1
     161: q+1
     162: q+1
     164: q+1
     166: q+1
     168: q+1
     170: 2q+1
     171: q^2+q+1
     172: 2q+1
     173: q^2+q+1
     174: 1
     175: 1
     176: 1
     177: 1
     178: 2q+1
     179: q^2+q+1
     180: 2q+1
     181: q^2+q+1
     182: 1
     183: 1
     184: 1
     185: 1
     186: 1
     188: 1
     190: 1
     192: q+1
     194: q+1
     198: q+1
     200: q+1
     202: q+1
     204: q+1
     206: 1
     208: 1
     210: 1
     212: 1
     214: q+1
     215: q^2+q+1
     216: q+1
     217: 2q+1
     218: q+1
     219: q+1
     220: 1
     221: 1
     222: 1
     223: 1
     225: 1
     226: q+1
     227: q^2+q+1
     228: q+1
     229: 2q+1
     230: q+1
     231: 1
     232: 1
     234: 1
     236: 1
     238: 1
     240: 1
     242: 1
     243: q+1
     244: 1
     245: 1
     246: 1
     247: 1
     248: 1
     249: 1
     250: 1
     251: 1
     252: 2q+1
     253: q^2+q+1
     254: 2q+1
     255: q^2+q+1
     256: 1
     257: 1
     258: 1
     259: 1
     260: 1
     262: 1
     264: 1
     266: 1
     268: 1
     270: q+1
     276: 1
     278: q+1
     280: 1
     282: 1
     286: q+1
     288: 1
     290: 1
     292: 1
     294: 1
     296: q+1
     297: q+1
     298: 1
     299: 1
     300: 1
     301: 1
     303: 1
     305: 1
     307: 1
     309: 1
     310: 1
     311: 1
     314: 1
     315: 1
     317: q+1
     318: q^2+q+1
     319: q+1
     320: 2q+1
     321: q+1
     322: q+1
     323: 1
     324: 1
     325: 1
     327: 1
     329: 1
     331: 1
     333: 1
     334: 1
     335: 1
     337: 1
     338: 1
     339: 1
     340: 1
     341: 1
     342: 1
     343: 1
     344: 1
     345: 1
     346: 1
     348: 1
     350: 1
     352: 1
     354: 1
     356: 1
     358: 1
     360: 1
     370: 1
     372: 1
     374: q+1
     376: 1
     378: 1
     380: 1
     382: 1
     390: q+1
     391: 1
     392: 1
     393: 1
     394: 1
     396: 1
     398: 1
     400: 1
     402: 1
     403: 1
     405: 1
     408: q+1
     409: q+1
     410: 1
     411: 1
     412: 1
     413: 1
     415: 1
     417: 1
     419: 1
     421: 1
     422: 1
     423: 1
     426: 1
     427: 1
     432: 1
     433: 1
     434: 1
     435: 1
     442: 1
     444: 1
     446: 1
     448: 1
     450: 1
     452: 1
     464: 1
     466: 1
     468: 1
     470: 1
     472: 1
     474: 1
     476: 1
     478: 1
     498: 1
     499: 1
     501: 1
     503: 1
     505: 1
     507: 1
     508: 1
     511: 1
     516: q+1
     517: 1
     518: 1
     519: 1
     520: 1
     521: 1
     523: 1
     537: 1
     541: 1
     543: 1
     545: 1
     563: 1
     565: 1
     567: 1
     569: 1
     571: 1
     573: 1
     598: 1
     605: 1
     606: 1
     608: 1
     633: 1
     653: 1
     657: 1
     659: 1
     691: 1
     733: 1

734:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: q^2+2q+1
       6: q^2+2q+1
       7: q^2+2q+1
       8: q^2+2q+1
       9: q^2+2q+1
      10: q^2+2q+1
      11: q^3+q^2+q+1
      12: q^2+2q+1
      13: q^3+q^2+q+1
      14: q^3+q^2+q+1
      15: q^2+2q+1
      16: q^2+2q+1
      17: q^2+2q+1
      18: q^3+q^2+q+1
      19: q^2+2q+1
      20: q^2+2q+1
      21: q^2+2q+1
      22: q^3+q^2+q+1
      23: 2q+1
      24: 2q+1
      25: q^2+q+1
      26: q^2+q+1
      27: q^2+2q+1
      28: q^2+2q+1
      29: q^2+2q+1
      30: q^2+2q+1
      31: q+1
      32: q+1
      33: q+1
      34: q+1
      35: q^2+2q+1
      36: q^2+2q+1
      37: q^2+2q+1
      38: q^2+2q+1
      39: q^2+q+1
      40: q^2+2q+1
      41: q^2+2q+1
      42: q+1
      43: q+1
      44: q+1
      45: q^2+2q+1
      46: q^2+2q+1
      47: 2q+1
      49: q+1
      51: q+1
      53: q+1
      55: q+1
      56: q^2+2q+1
      57: q^2+2q+1
      58: q^2+2q+1
      59: q^3+q^2+q+1
      60: 2q+1
      61: 2q+1
      62: q^2+q+1
      63: q^2+q+1
      64: 2q+1
      65: q^2+q+1
      66: 2q+1
      67: q^2+q+1
      68: q+1
      69: q+1
      70: q+1
      71: q+1
      72: q^2+2q+1
      73: q^2+2q+1
      74: q^2+2q+1
      75: q^2+2q+1
      77: q+1
      79: q+1
      81: q+1
      82: q^2+q+1
      83: q+1
      84: q^2+2q+1
      85: q^2+q+1
      86: 2q+1
      87: q+1
      89: q+1
      91: q+1
      93: q+1
      95: q+1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     100: q^2+2q+1
     101: 2q+1
     102: q^2+2q+1
     103: q^2+2q+1
     104: 2q+1
     105: 2q+1
     106: q^2+q+1
     107: q^2+q+1
     108: 2q+1
     109: q^2+q+1
     110: 2q+1
     111: q^2+q+1
     112: 1
     113: 1
     114: 1
     115: 1
     116: 2q+1
     117: q^2+q+1
     118: 2q+1
     119: q^2+q+1
     120: q+1
     121: q+1
     122: q+1
     123: q+1
     125: q+1
     127: q+1
     129: q+1
     131: q+1
     133: q+1
     134: q^2+q+1
     135: q+1
     137: 1
     139: 1
     141: 1
     143: 1
     144: q^2+q+1
     145: q+1
     146: 2q+1
     147: q+1
     148: q+1
     149: 1
     150: 1
     152: q+1
     153: 1
     154: 2q+1
     155: q+1
     156: q^2+q+1
     157: q^2+2q+1
     158: 2q+1
     159: q+1
     160: q+1
     161: q+1
     163: q+1
     165: q+1
     167: q+1
     169: q+1
     170: 2q+1
     171: q^2+q+1
     172: 2q+1
     173: q^2+q+1
     174: 1
     175: 1
     176: 1
     177: 1
     178: 2q+1
     179: q^2+q+1
     180: 2q+1
     181: q^2+q+1
     182: 1
     183: 1
     184: 1
     185: 1
     187: 1
     189: 1
     191: 1
     193: q+1
     195: q+1
     199: q+1
     201: q+1
     203: q+1
     205: q+1
     207: 1
     209: 1
     211: 1
     213: 1
     214: q+1
     215: q^2+q+1
     216: q+1
     217: 2q+1
     218: q+1
     219: q+1
     220: 1
     221: 1
     222: 1
     223: 1
     225: 1
     226: q+1
     227: q^2+q+1
     228: q+1
     229: 2q+1
     230: q+1
     231: 1
     233: 1
     235: 1
     237: 1
     239: 1
     240: 1
     242: 1
     243: q+1
     244: 1
     245: 1
     246: 1
     247: 1
     248: 1
     249: 1
     250: 1
     251: 1
     252: 2q+1
     253: q^2+q+1
     254: 2q+1
     255: q^2+q+1
     256: 1
     257: 1
     258: 1
     259: 1
     261: 1
     263: 1
     265: 1
     267: 1
     269: 1
     271: q+1
     277: 1
     279: q+1
     281: 1
     283: 1
     287: q+1
     289: 1
     291: 1
     293: 1
     295: 1
     296: q+1
     297: q+1
     298: 1
     299: 1
     300: 1
     302: 1
     304: 1
     306: 1
     308: 1
     309: 1
     310: 1
     311: 1
     314: 1
     315: 1
     317: q+1
     318: q^2+q+1
     319: q+1
     320: 2q+1
     321: q+1
     322: q+1
     323: 1
     324: 1
     326: 1
     328: 1
     330: 1
     332: 1
     333: 1
     334: 1
     335: 1
     337: 1
     338: 1
     339: 1
     340: 1
     341: 1
     342: 1
     343: 1
     344: 1
     345: 1
     347: 1
     349: 1
     351: 1
     353: 1
     355: 1
     357: 1
     359: 1
     361: 1
     371: 1
     373: 1
     375: q+1
     377: 1
     379: 1
     381: 1
     383: 1
     390: q+1
     391: 1
     392: 1
     393: 1
     395: 1
     397: 1
     399: 1
     401: 1
     402: 1
     403: 1
     405: 1
     408: q+1
     409: q+1
     410: 1
     411: 1
     412: 1
     414: 1
     416: 1
     418: 1
     420: 1
     421: 1
     422: 1
     423: 1
     426: 1
     427: 1
     432: 1
     433: 1
     434: 1
     435: 1
     443: 1
     445: 1
     447: 1
     449: 1
     451: 1
     453: 1
     465: 1
     467: 1
     469: 1
     471: 1
     473: 1
     475: 1
     477: 1
     479: 1
     498: 1
     500: 1
     502: 1
     504: 1
     506: 1
     507: 1
     508: 1
     511: 1
     516: q+1
     517: 1
     518: 1
     519: 1
     520: 1
     521: 1
     523: 1
     538: 1
     542: 1
     544: 1
     546: 1
     564: 1
     566: 1
     568: 1
     570: 1
     572: 1
     574: 1
     598: 1
     605: 1
     606: 1
     608: 1
     634: 1
     654: 1
     658: 1
     660: 1
     691: 1
     734: 1

735:   0: 3q^2+4q+1
       1: 3q^2+4q+1
       2: 3q^2+4q+1
       3: q^2+2q+1
       4: 3q^2+4q+1
       5: q^3+2q^2+2q+1
       6: q^2+2q+1
       7: 3q^2+4q+1
       8: 3q^2+4q+1
       9: q+1
      10: q^3+2q^2+2q+1
      11: q^2+2q+1
      12: q^4+3q^3+4q^2+3q+1
      13: q+1
      14: q+1
      15: 2q^2+2q+1
      16: q+1
      17: 2q^2+2q+1
      18: q+1
      19: 3q^2+4q+1
      20: q^2+2q+1
      21: 3q^2+4q+1
      22: q+1
      23: 3q^2+4q+1
      24: 3q^2+4q+1
      25: q^2+2q+1
      26: q+1
      27: 2q+1
      28: 2q+1
      29: q+1
      30: 2q^2+3q+1
      31: 3q^2+4q+1
      32: 3q^2+4q+1
      33: 3q^2+4q+1
      34: q^3+2q^2+2q+1
      35: 3q^2+4q+1
      36: 3q^2+4q+1
      37: 3q^2+4q+1
      38: q^3+2q^2+2q+1
      39: q+1
      40: q+1
      41: 2q+1
      42: 2q^2+2q+1
      43: 3q^2+4q+1
      44: 3q^2+4q+1
      45: 2q^2+2q+1
      46: 3q^2+4q+1
      47: 3q^2+4q+1
      48: 2q^2+2q+1
      49: q^2+2q
      50: 2q^2+2q+1
      51: q^2+2q
      52: 2q^2+2q+1
      53: q^2+2q
      54: q^2+q+1
      55: q^3+q^2+q
      56: 2q^2+2q+1
      57: q+1
      58: 2q^2+2q+1
      59: q+1
      60: 3q^2+4q+1
      61: 3q^2+4q+1
      62: q^2+2q+1
      63: q+1
      64: 2q+1
      65: 2q+1
      66: 2q^2+3q+1
      67: q+1
      68: 2q+1
      69: 2q+1
      70: 2q^2+3q+1
      71: q+1
      72: 2q+1
      73: 2q+1
      74: 2q^2+3q+1
      75: q+1
      76: q^2+q+1
      77: q^2+q
      78: 2q^2+2q+1
      79: q^2+2q
      80: 2q^2+2q+1
      81: q^2+2q
      82: q+1
      83: 2q+1
      84: q+1
      85: q+1
      86: q+1
      87: q+1
      88: 1
      89: q
      90: 1
      91: q
      92: q^2+q+1
      93: q
      94: 1
      95: q
      96: 2q^2+2q+1
      97: 3q^2+4q+1
      98: q+1
      99: 2q+1
     100: 2q^2+2q+1
     101: 3q^2+4q+1
     102: q+1
     103: 2q+1
     104: 2q^2+2q+1
     105: 2q^2+2q+1
     106: q+1
     107: q+1
     108: 2q+1
     109: 2q+1
     110: 2q^2+3q+1
     111: q+1
     112: 2q+1
     113: 2q+1
     114: 2q^2+3q+1
     115: q+1
     116: 2q+1
     117: 2q+1
     118: 2q^2+3q+1
     119: q+1
     120: 2q+1
     121: 2q+1
     122: 2q^2+3q+1
     123: q+1
     124: 1
     126: 1
     127: q
     128: 1
     129: q
     130: q^2+q+1
     131: q^2+q
     132: 2q^2+2q+1
     133: q^2+2q
     134: q+1
     135: q+1
     136: 1
     137: q
     138: 1
     139: q
     140: q^2+q+1
     141: q
     142: 1
     143: q
     144: q+1
     145: 2q+1
     146: q+1
     147: q+1
     148: 2q^2+2q+1
     149: 2q+1
     150: q+1
     151: q+1
     152: q+1
     153: q+1
     154: 2q^2+2q+1
     155: 2q+1
     156: q+1
     157: q+1
     158: q+1
     159: q+1
     160: q+1
     161: 2q+1
     162: 1
     163: q
     164: 1
     165: q
     166: q^2+q+1
     167: q
     168: 1
     169: q
     170: 1
     171: 1
     172: q^2+q+1
     173: 1
     174: 2q+1
     175: 2q+1
     176: 2q^2+3q+1
     177: q+1
     178: 2q+1
     179: 2q+1
     180: 2q^2+3q+1
     181: q+1
     182: 2q+1
     183: 2q+1
     184: 2q^2+3q+1
     185: q+1
     186: 1
     187: q
     188: 1
     189: q
     190: 1
     192: 1
     194: 1
     195: q
     196: 1
     198: 1
     200: q^2+q+1
     201: q^2+q
     202: 1
     203: q
     204: 1
     205: q
     206: 1
     207: q
     208: 1
     209: q
     210: q^2+q+1
     211: q
     212: 1
     213: q
     214: q+1
     215: 1
     216: 1
     217: 1
     218: q+1
     219: 1
     220: q+1
     221: q+1
     222: q+1
     223: 2q+1
     224: q+1
     225: q+1
     226: q+1
     227: q+1
     228: 2q+1
     229: q+1
     230: q+1
     231: 2q+1
     232: 1
     233: q
     234: 1
     235: q
     236: q^2+q+1
     237: q
     238: 1
     239: q
     240: q+1
     241: q+1
     242: q+1
     243: q+1
     244: 2
     246: 2
     248: 1
     249: 1
     250: q^2+q+1
     251: 1
     252: 1
     253: 1
     254: q^2+q+1
     255: 1
     256: 2q+1
     257: 2q+1
     258: 2q^2+3q+1
     259: q+1
     260: 1
     261: q
     262: 1
     263: q
     264: 1
     265: q
     266: 1
     268: 1
     270: 1
     272: 1
     274: 1
     276: 1
     278: 1
     280: 1
     281: q
     282: 1
     283: q
     284: 1
     286: 1
     287: q
     296: 1
     297: 1
     298: 1
     301: 1
     302: 1
     305: 1
     306: 1
     309: q+1
     310: 1
     311: 1
     312: 1
     313: q+1
     314: 1
     315: q+1
     316: 2
     317: q+1
     318: 1
     319: 1
     320: 1
     321: q+1
     322: 1
     323: q+1
     324: 2
     325: 1
     326: q
     327: 1
     328: q
     329: q^2+q+1
     330: q
     331: 1
     332: q
     333: q+1
     334: q+1
     335: 2q+1
     336: q+1
     337: q+1
     338: 2
     340: 2
     342: 1
     343: 1
     344: q^2+q+1
     345: 1
     350: 1
     351: q
     354: 1
     356: 1
     362: 1
     364: 1
     366: 1
     368: 1
     369: 1
     370: 1
     372: 1
     374: 1
     376: 1
     377: 1
     378: 1
     379: q
     380: 1
     381: q
     382: 1
     383: q
     384: 1
     386: 1
     388: 2
     390: 1
     391: 1
     394: 1
     395: 1
     398: 1
     399: 1
     403: 1
     404: 1
     405: 1
     407: 2
     408: 1
     409: 1
     410: 1
     412: 2
     421: q+1
     422: 1
     423: 1
     424: 1
     425: q+1
     426: 1
     427: q+1
     428: 2
     430: 2
     432: 1
     434: 1
     436: 1
     437: 1
     444: 1
     454: 1
     456: 1
     462: 1
     463: 1
     464: 1
     466: 1
     472: 1
     473: 1
     478: 1
     479: q
     480: 1
     482: 1
     484: 1
     486: 2
     489: 1
     490: 1
     493: 1
     494: 1
     509: 2
     510: 1
     511: 1
     513: 1
     515: 2
     516: 1
     517: 1
     519: 1
     521: 1
     522: 1
     523: 1
     525: 1
     527: 1
     529: 1
     530: 1
     549: 1
     550: 1
     551: 1
     561: 1
     562: 1
     563: 1
     575: 2
     577: 1
     579: 1
     585: 1
     599: 1
     603: 1
     607: 1
     608: 1
     611: 1
     613: 1
     615: 1
     616: 1
     661: 1
     663: 1
     684: 1
     688: 1
     735: 1

736:   0: 3q^2+4q+1
       1: 3q^2+4q+1
       2: 3q^2+4q+1
       3: q^2+2q+1
       4: 3q^2+4q+1
       5: q^3+2q^2+2q+1
       6: q^2+2q+1
       7: 3q^2+4q+1
       8: 3q^2+4q+1
       9: q+1
      10: q^3+2q^2+2q+1
      11: q^2+2q+1
      12: q^4+3q^3+4q^2+3q+1
      13: q+1
      14: q+1
      15: 2q^2+2q+1
      16: q+1
      17: 2q^2+2q+1
      18: q+1
      19: 3q^2+4q+1
      20: q^2+2q+1
      21: 3q^2+4q+1
      22: q+1
      23: 3q^2+4q+1
      24: 3q^2+4q+1
      25: q^2+2q+1
      26: q+1
      27: 2q+1
      28: 2q+1
      29: q+1
      30: 2q^2+3q+1
      31: 3q^2+4q+1
      32: 3q^2+4q+1
      33: 3q^2+4q+1
      34: q^3+2q^2+2q+1
      35: 3q^2+4q+1
      36: 3q^2+4q+1
      37: 3q^2+4q+1
      38: q^3+2q^2+2q+1
      39: q+1
      40: q+1
      41: 2q+1
      42: 2q^2+2q+1
      43: 3q^2+4q+1
      44: 3q^2+4q+1
      45: 2q^2+2q+1
      46: 3q^2+4q+1
      47: 3q^2+4q+1
      48: q^2+2q
      49: 2q^2+2q+1
      50: q^2+2q
      51: 2q^2+2q+1
      52: q^2+2q
      53: 2q^2+2q+1
      54: q^3+q^2+q
      55: q^2+q+1
      56: 2q^2+2q+1
      57: q+1
      58: 2q^2+2q+1
      59: q+1
      60: 3q^2+4q+1
      61: 3q^2+4q+1
      62: q^2+2q+1
      63: q+1
      64: 2q+1
      65: 2q+1
      66: 2q^2+3q+1
      67: q+1
      68: 2q+1
      69: 2q+1
      70: 2q^2+3q+1
      71: q+1
      72: 2q+1
      73: 2q+1
      74: 2q^2+3q+1
      75: q+1
      76: q^2+q
      77: q^2+q+1
      78: q^2+2q
      79: 2q^2+2q+1
      80: q^2+2q
      81: 2q^2+2q+1
      82: q+1
      83: 2q+1
      84: q+1
      85: q+1
      86: q+1
      87: q+1
      88: q
      89: 1
      90: q
      91: 1
      92: q
      93: q^2+q+1
      94: q
      95: 1
      96: 2q^2+2q+1
      97: 3q^2+4q+1
      98: q+1
      99: 2q+1
     100: 2q^2+2q+1
     101: 3q^2+4q+1
     102: q+1
     103: 2q+1
     104: 2q^2+2q+1
     105: 2q^2+2q+1
     106: q+1
     107: q+1
     108: 2q+1
     109: 2q+1
     110: 2q^2+3q+1
     111: q+1
     112: 2q+1
     113: 2q+1
     114: 2q^2+3q+1
     115: q+1
     116: 2q+1
     117: 2q+1
     118: 2q^2+3q+1
     119: q+1
     120: 2q+1
     121: 2q+1
     122: 2q^2+3q+1
     123: q+1
     125: 1
     126: q
     127: 1
     128: q
     129: 1
     130: q^2+q
     131: q^2+q+1
     132: q^2+2q
     133: 2q^2+2q+1
     134: q+1
     135: q+1
     136: q
     137: 1
     138: q
     139: 1
     140: q
     141: q^2+q+1
     142: q
     143: 1
     144: q+1
     145: 2q+1
     146: q+1
     147: q+1
     148: 2q^2+2q+1
     149: 2q+1
     150: q+1
     151: q+1
     152: q+1
     153: q+1
     154: 2q^2+2q+1
     155: 2q+1
     156: q+1
     157: q+1
     158: q+1
     159: q+1
     160: q+1
     161: 2q+1
     162: q
     163: 1
     164: q
     165: 1
     166: q
     167: q^2+q+1
     168: q
     169: 1
     170: 1
     171: 1
     172: q^2+q+1
     173: 1
     174: 2q+1
     175: 2q+1
     176: 2q^2+3q+1
     177: q+1
     178: 2q+1
     179: 2q+1
     180: 2q^2+3q+1
     181: q+1
     182: 2q+1
     183: 2q+1
     184: 2q^2+3q+1
     185: q+1
     186: q
     187: 1
     188: q
     189: 1
     191: 1
     193: 1
     194: q
     195: 1
     197: 1
     199: 1
     200: q^2+q
     201: q^2+q+1
     202: q
     203: 1
     204: q
     205: 1
     206: q
     207: 1
     208: q
     209: 1
     210: q
     211: q^2+q+1
     212: q
     213: 1
     214: q+1
     215: 1
     216: 1
     217: 1
     218: q+1
     219: 1
     220: q+1
     221: q+1
     222: q+1
     223: 2q+1
     224: q+1
     225: q+1
     226: q+1
     227: q+1
     228: 2q+1
     229: q+1
     230: q+1
     231: 2q+1
     232: q
     233: 1
     234: q
     235: 1
     236: q
     237: q^2+q+1
     238: q
     239: 1
     240: q+1
     241: q+1
     242: q+1
     243: q+1
     244: 2
     246: 2
     248: 1
     249: 1
     250: q^2+q+1
     251: 1
     252: 1
     253: 1
     254: q^2+q+1
     255: 1
     256: 2q+1
     257: 2q+1
     258: 2q^2+3q+1
     259: q+1
     260: q
     261: 1
     262: q
     263: 1
     264: q
     265: 1
     267: 1
     269: 1
     271: 1
     273: 1
     275: 1
     277: 1
     279: 1
     280: q
     281: 1
     282: q
     283: 1
     285: 1
     286: q
     287: 1
     296: 1
     297: 1
     298: 1
     301: 1
     302: 1
     305: 1
     306: 1
     309: q+1
     310: 1
     311: 1
     312: 1
     313: q+1
     314: 1
     315: q+1
     316: 2
     317: q+1
     318: 1
     319: 1
     320: 1
     321: q+1
     322: 1
     323: q+1
     324: 2
     325: q
     326: 1
     327: q
     328: 1
     329: q
     330: q^2+q+1
     331: q
     332: 1
     333: q+1
     334: q+1
     335: 2q+1
     336: q+1
     337: q+1
     338: 2
     340: 2
     342: 1
     343: 1
     344: q^2+q+1
     345: 1
     350: q
     351: 1
     355: 1
     357: 1
     363: 1
     365: 1
     367: 1
     368: 1
     369: 1
     371: 1
     373: 1
     375: 1
     376: 1
     377: 1
     378: q
     379: 1
     380: q
     381: 1
     382: q
     383: 1
     385: 1
     387: 1
     389: 2
     390: 1
     391: 1
     394: 1
     395: 1
     398: 1
     399: 1
     403: 1
     404: 1
     405: 1
     407: 2
     408: 1
     409: 1
     410: 1
     412: 2
     421: q+1
     422: 1
     423: 1
     424: 1
     425: q+1
     426: 1
     427: q+1
     428: 2
     430: 2
     432: 1
     434: 1
     439: 1
     440: 1
     445: 1
     455: 1
     457: 1
     462: 1
     463: 1
     465: 1
     467: 1
     472: 1
     473: 1
     478: q
     479: 1
     481: 1
     483: 1
     485: 1
     487: 2
     489: 1
     490: 1
     493: 1
     494: 1
     509: 2
     510: 1
     511: 1
     513: 1
     515: 2
     516: 1
     517: 1
     519: 1
     521: 1
     522: 1
     523: 1
     525: 1
     527: 1
     532: 1
     533: 1
     549: 1
     550: 1
     552: 1
     561: 1
     562: 1
     564: 1
     576: 2
     578: 1
     580: 1
     586: 1
     599: 1
     603: 1
     607: 1
     608: 1
     611: 1
     613: 1
     618: 1
     619: 1
     662: 1
     664: 1
     684: 1
     688: 1
     736: 1

737:   0: q+1
       1: q+1
       2: q+1
       3: q^3+1
       4: q+1
       5: q+1
       6: q^3+1
       7: q+1
       8: q+1
       9: q^3+1
      10: q+1
      11: q^3+1
      12: q^3+q^2+q+1
      13: q^3+1
      14: q^3+1
      15: q+1
      16: q^3+1
      17: q+1
      18: q^3+1
      19: q+1
      20: q^3+1
      21: q+1
      22: q^3+1
      23: q+1
      24: q+1
      25: q^3+1
      26: q^3+1
      27: 1
      28: 1
      29: 1
      30: q+1
      31: q+1
      32: q+1
      33: q+1
      34: q+1
      35: q+1
      36: q+1
      37: q+1
      38: q+1
      39: q^3+1
      40: 1
      41: 1
      42: q+1
      43: q+1
      44: q+1
      45: q+1
      46: q+1
      47: q+1
      48: q+1
      50: q+1
      52: q+1
      54: q+1
      56: q+1
      57: q^3+1
      58: q+1
      59: q^3+1
      60: q+1
      61: q+1
      62: q^3+1
      63: q^3+1
      64: 1
      65: 1
      66: q+1
      67: 1
      68: 1
      69: 1
      70: q+1
      71: 1
      72: 1
      73: 1
      74: q+1
      75: 1
      76: q+1
      78: q+1
      80: q+1
      82: q^3+1
      83: 1
      84: 1
      85: 1
      86: 1
      87: 1
      88: 1
      90: 1
      92: q+1
      94: 1
      96: q+1
      97: q+1
      98: 1
      99: 1
     100: q+1
     101: q+1
     102: 1
     103: 1
     104: q+1
     105: q+1
     106: q^3+1
     107: q^3+1
     108: 1
     109: 1
     110: q+1
     111: 1
     112: 1
     113: 1
     114: q+1
     115: 1
     116: 1
     117: 1
     118: q+1
     119: 1
     120: 1
     121: 1
     122: q+1
     123: 1
     124: 1
     126: 1
     128: 1
     130: q+1
     132: q+1
     134: q^3+1
     135: 1
     136: 1
     138: 1
     140: q+1
     142: 1
     144: 1
     145: 1
     146: 1
     147: 1
     148: q+1
     149: 1
     150: 1
     151: 1
     152: 1
     153: 1
     154: q+1
     155: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     161: 1
     162: 1
     164: 1
     166: q+1
     168: 1
     170: 1
     171: 1
     172: q+1
     173: 1
     174: 1
     175: 1
     176: q+1
     177: 1
     178: 1
     179: 1
     180: q+1
     181: 1
     182: 1
     183: 1
     184: q+1
     185: 1
     186: 1
     188: 1
     190: 1
     192: 1
     194: 1
     196: 1
     198: 1
     200: q+1
     202: 1
     204: 1
     206: 1
     208: 1
     210: q+1
     212: 1
     214: 1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     223: 1
     224: 1
     225: 1
     226: 1
     227: 1
     228: 1
     229: 1
     230: 1
     231: 1
     232: 1
     234: 1
     236: q+1
     238: 1
     240: 1
     241: 1
     242: 1
     243: 1
     248: 1
     249: 1
     250: q+1
     251: 1
     252: 1
     253: 1
     254: q+1
     255: 1
     256: 1
     257: 1
     258: q+1
     259: 1
     260: 1
     262: 1
     264: 1
     266: 1
     268: 1
     270: 1
     272: 1
     274: 1
     276: 1
     278: 1
     280: 1
     282: 1
     284: 1
     286: 1
     288: 1
     290: 1
     292: q+1
     294: 1
     296: 1
     297: 1
     298: 1
     309: 1
     310: 1
     311: 1
     312: 1
     313: 1
     314: 1
     315: 1
     317: 1
     318: 1
     319: 1
     320: 1
     321: 1
     322: 1
     323: 1
     325: 1
     327: 1
     329: q+1
     331: 1
     333: 1
     334: 1
     335: 1
     336: 1
     337: 1
     342: 1
     343: 1
     344: q+1
     345: 1
     346: 1
     348: 1
     350: 1
     352: 1
     354: 1
     356: 1
     362: 1
     364: 1
     366: 1
     370: 1
     372: 1
     374: 1
     378: 1
     380: 1
     382: 1
     384: 1
     386: 1
     390: 1
     391: 1
     403: 1
     404: 1
     405: 1
     408: 1
     409: 1
     410: 1
     413: 1
     415: 1
     417: q+1
     419: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     426: 1
     427: 1
     442: 1
     444: 1
     446: 1
     454: 1
     456: 1
     458: 1
     464: 1
     466: 1
     468: 1
     474: 1
     476: 1
     478: 1
     480: 1
     482: 1
     484: 1
     510: 1
     511: 1
     516: 1
     517: 1
     521: 1
     522: 1
     523: 1
     537: 1
     551: 1
     553: 1
     563: 1
     565: 1
     573: 1
     577: 1
     579: 1
     581: 1
     607: 1
     608: 1
     643: 1
     653: 1
     663: 1
     665: 1
     737: 1

738:   0: q+1
       1: q+1
       2: q+1
       3: q^3+1
       4: q+1
       5: q+1
       6: q^3+1
       7: q+1
       8: q+1
       9: q^3+1
      10: q+1
      11: q^3+1
      12: q^3+q^2+q+1
      13: q^3+1
      14: q^3+1
      15: q+1
      16: q^3+1
      17: q+1
      18: q^3+1
      19: q+1
      20: q^3+1
      21: q+1
      22: q^3+1
      23: q+1
      24: q+1
      25: q^3+1
      26: q^3+1
      27: 1
      28: 1
      29: 1
      30: q+1
      31: q+1
      32: q+1
      33: q+1
      34: q+1
      35: q+1
      36: q+1
      37: q+1
      38: q+1
      39: q^3+1
      40: 1
      41: 1
      42: q+1
      43: q+1
      44: q+1
      45: q+1
      46: q+1
      47: q+1
      49: q+1
      51: q+1
      53: q+1
      55: q+1
      56: q+1
      57: q^3+1
      58: q+1
      59: q^3+1
      60: q+1
      61: q+1
      62: q^3+1
      63: q^3+1
      64: 1
      65: 1
      66: q+1
      67: 1
      68: 1
      69: 1
      70: q+1
      71: 1
      72: 1
      73: 1
      74: q+1
      75: 1
      77: q+1
      79: q+1
      81: q+1
      82: q^3+1
      83: 1
      84: 1
      85: 1
      86: 1
      87: 1
      89: 1
      91: 1
      93: q+1
      95: 1
      96: q+1
      97: q+1
      98: 1
      99: 1
     100: q+1
     101: q+1
     102: 1
     103: 1
     104: q+1
     105: q+1
     106: q^3+1
     107: q^3+1
     108: 1
     109: 1
     110: q+1
     111: 1
     112: 1
     113: 1
     114: q+1
     115: 1
     116: 1
     117: 1
     118: q+1
     119: 1
     120: 1
     121: 1
     122: q+1
     123: 1
     125: 1
     127: 1
     129: 1
     131: q+1
     133: q+1
     134: q^3+1
     135: 1
     137: 1
     139: 1
     141: q+1
     143: 1
     144: 1
     145: 1
     146: 1
     147: 1
     148: q+1
     149: 1
     150: 1
     151: 1
     152: 1
     153: 1
     154: q+1
     155: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     161: 1
     163: 1
     165: 1
     167: q+1
     169: 1
     170: 1
     171: 1
     172: q+1
     173: 1
     174: 1
     175: 1
     176: q+1
     177: 1
     178: 1
     179: 1
     180: q+1
     181: 1
     182: 1
     183: 1
     184: q+1
     185: 1
     187: 1
     189: 1
     191: 1
     193: 1
     195: 1
     197: 1
     199: 1
     201: q+1
     203: 1
     205: 1
     207: 1
     209: 1
     211: q+1
     213: 1
     214: 1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     223: 1
     224: 1
     225: 1
     226: 1
     227: 1
     228: 1
     229: 1
     230: 1
     231: 1
     233: 1
     235: 1
     237: q+1
     239: 1
     240: 1
     241: 1
     242: 1
     243: 1
     248: 1
     249: 1
     250: q+1
     251: 1
     252: 1
     253: 1
     254: q+1
     255: 1
     256: 1
     257: 1
     258: q+1
     259: 1
     261: 1
     263: 1
     265: 1
     267: 1
     269: 1
     271: 1
     273: 1
     275: 1
     277: 1
     279: 1
     281: 1
     283: 1
     285: 1
     287: 1
     289: 1
     291: 1
     293: q+1
     295: 1
     296: 1
     297: 1
     298: 1
     309: 1
     310: 1
     311: 1
     312: 1
     313: 1
     314: 1
     315: 1
     317: 1
     318: 1
     319: 1
     320: 1
     321: 1
     322: 1
     323: 1
     326: 1
     328: 1
     330: q+1
     332: 1
     333: 1
     334: 1
     335: 1
     336: 1
     337: 1
     342: 1
     343: 1
     344: q+1
     345: 1
     347: 1
     349: 1
     351: 1
     353: 1
     355: 1
     357: 1
     363: 1
     365: 1
     367: 1
     371: 1
     373: 1
     375: 1
     379: 1
     381: 1
     383: 1
     385: 1
     387: 1
     390: 1
     391: 1
     403: 1
     404: 1
     405: 1
     408: 1
     409: 1
     410: 1
     414: 1
     416: 1
     418: q+1
     420: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     426: 1
     427: 1
     443: 1
     445: 1
     447: 1
     455: 1
     457: 1
     459: 1
     465: 1
     467: 1
     469: 1
     475: 1
     477: 1
     479: 1
     481: 1
     483: 1
     485: 1
     510: 1
     511: 1
     516: 1
     517: 1
     521: 1
     522: 1
     523: 1
     538: 1
     552: 1
     554: 1
     564: 1
     566: 1
     574: 1
     578: 1
     580: 1
     582: 1
     607: 1
     608: 1
     644: 1
     654: 1
     664: 1
     666: 1
     738: 1

739:   0: 3q^2+4q+1
       1: 3q^2+4q+1
       2: 3q^2+4q+1
       3: q^3+3q^2+3q+1
       4: 3q^2+4q+1
       5: 2q^3+3q^2+2q+1
       6: q^3+3q^2+3q+1
       7: 3q^2+4q+1
       8: 3q^2+4q+1
       9: q^4+2q^3+2q^2+2q+1
      10: 2q^3+3q^2+2q+1
      11: q^4+2q^3+2q^2+2q+1
      12: q^3+3q^2+3q+1
      13: q^3+q^2+q+1
      14: q^3+q^2+q+1
      15: 3q^2+2q+1
      16: q^3+2q^2+2q+1
      17: 3q^2+2q+1
      18: q^3+q^2+q+1
      19: 3q^2+4q+1
      20: q^3+3q^2+3q+1
      21: 3q^2+4q+1
      22: q^3+q^2+q+1
      23: q^2+4q+1
      24: q^2+4q+1
      25: q^3+2q^2+2q+1
      26: q^3+q^2+q+1
      27: 2q^2+3q+1
      28: 2q^2+3q+1
      29: q^3+2q^2+2q+1
      30: 2q^2+3q+1
      31: 3q^2+4q+1
      32: 3q^2+4q+1
      33: 3q^2+4q+1
      34: 2q^3+3q^2+2q+1
      35: 3q^2+4q+1
      36: 3q^2+4q+1
      37: 3q^2+4q+1
      38: 2q^3+3q^2+2q+1
      39: q^3+q^2+q+1
      40: 2q^2+2q+1
      41: 2q^2+3q+1
      42: 3q^2+2q+1
      43: 3q^2+4q+1
      44: q^2+4q+1
      45: 3q^2+2q+1
      46: 3q^2+4q+1
      47: q^2+4q+1
      48: 2q^2+3q+1
      49: q^2+q
      50: 2q^2+3q+1
      51: q^2+q
      52: 2q^2+3q+1
      53: q^2+q
      54: q^3+2q^2+2q+1
      55: q^3+q^2
      56: 3q^2+2q+1
      57: q^3+2q^2+2q+1
      58: 3q^2+2q+1
      59: q^3+q^2+q+1
      60: q^2+4q+1
      61: q^2+4q+1
      62: q^3+2q^2+2q+1
      63: q^3+q^2+q+1
      64: 3q+1
      65: q^2+2q+1
      66: 3q+1
      67: q^2+q+1
      68: 2q^2+3q+1
      69: 2q^2+3q+1
      70: 2q^2+3q+1
      71: q^3+2q^2+2q+1
      72: 2q^2+3q+1
      73: 2q^2+3q+1
      74: 2q^2+3q+1
      75: q^3+2q^2+2q+1
      76: 2q^2+2q+1
      77: q^2
      78: 2q^2+3q+1
      79: q^2+q
      80: q^2+3q+1
      81: q
      82: q^3+q^2+q+1
      83: 2q+1
      84: 2q^2+2q+1
      85: q^2+q+1
      86: 2q+1
      87: 2q+1
      88: q^2+2q+1
      90: q^2+2q+1
      92: q^2+2q+1
      94: q^2+2q+1
      96: 3q^2+2q+1
      97: q^2+4q+1
      98: 2q^2+2q+1
      99: 2q^2+3q+1
     100: 3q^2+2q+1
     101: q^2+4q+1
     102: 2q^2+2q+1
     103: 2q^2+3q+1
     104: q^2+2q+1
     105: q^2+2q+1
     106: q+1
     107: q+1
     108: 3q+1
     109: q^2+2q+1
     110: 3q+1
     111: q^2+q+1
     112: 3q+1
     113: q^2+2q+1
     114: 3q+1
     115: q^2+q+1
     116: 3q+1
     117: q^2+2q+1
     118: 3q+1
     119: q^2+q+1
     120: 2q^2+3q+1
     121: 2q^2+3q+1
     122: 2q^2+3q+1
     123: q^3+2q^2+2q+1
     124: q+1
     126: q^2+2q+1
     128: q^2+2q+1
     130: 2q^2+2q+1
     131: q^2
     132: q^2+3q+1
     133: q
     134: q+1
     135: q+1
     136: q+1
     138: q+1
     140: q+1
     142: q+1
     144: q^2+q+1
     145: 2q+1
     146: 2q+1
     147: 2q+1
     148: q^2+2q+1
     149: 2q+1
     150: q^2+q+1
     151: 2q+1
     152: 2q^2+2q+1
     153: 2q+1
     154: q^2+2q+1
     155: 2q+1
     156: q^2+q+1
     157: 2q^2+2q+1
     158: 2q+1
     159: 2q+1
     160: 2q^2+2q+1
     161: 2q^2+3q+1
     162: q^2+2q+1
     164: q^2+2q+1
     166: q^2+2q+1
     168: q^2+2q+1
     170: q+1
     171: 1
     172: q+1
     173: 1
     174: 3q+1
     175: q^2+2q+1
     176: 3q+1
     177: q^2+q+1
     178: 3q+1
     179: q^2+2q+1
     180: 3q+1
     181: q^2+q+1
     182: 3q+1
     183: q^2+2q+1
     184: 3q+1
     185: q^2+q+1
     186: q+1
     188: q+1
     190: 1
     192: q+1
     194: q^2+2q+1
     196: q+1
     198: q+1
     200: q^2+2q+1
     202: q^2+2q+1
     204: q^2+2q+1
     206: q+1
     208: q+1
     210: q+1
     212: q+1
     214: q+1
     215: 1
     216: 1
     217: q+1
     218: q+1
     219: q+1
     220: q+1
     221: q+1
     222: q^2+q+1
     223: 2q+1
     224: 2q+1
     225: 2q+1
     226: q+1
     227: q^2+q+1
     228: 2q+1
     229: 2q+1
     230: 2q+1
     231: 2q+1
     232: q+1
     234: q+1
     236: q+1
     238: q+1
     240: q^2+q+1
     241: 2q+1
     242: 2q+1
     243: 2q^2+2q+1
     244: 2
     245: q+1
     246: 2
     247: q+1
     248: q+1
     249: 1
     250: q+1
     251: 1
     252: q+1
     253: 1
     254: q+1
     255: 1
     256: 3q+1
     257: q^2+2q+1
     258: 3q+1
     259: q^2+q+1
     260: q+1
     262: q+1
     264: q+1
     266: 1
     268: 1
     270: q+1
     272: 1
     274: q+1
     276: 1
     278: q+1
     280: q+1
     282: q+1
     284: q+1
     286: q^2+2q+1
     296: 1
     297: 1
     298: 1
     299: 1
     300: q+1
     301: 2
     303: q+1
     305: 2
     307: q+1
     309: q+1
     310: 1
     311: 1
     312: q+1
     313: q+1
     314: q+1
     315: q+1
     316: 2
     317: q+1
     318: 1
     319: 1
     320: q+1
     321: q+1
     322: q+1
     323: q+1
     324: 2
     325: q+1
     327: q+1
     329: q+1
     331: q+1
     333: q+1
     334: q^2+q+1
     335: 2q+1
     336: 2q+1
     337: 2q+1
     338: 2
     339: q+1
     340: 2
     341: q+1
     342: q+1
     343: 1
     344: q+1
     345: 1
     350: q+1
     354: 1
     356: 1
     358: 1
     360: q+1
     362: 1
     364: 1
     366: q+1
     368: 2
     370: 1
     372: 1
     374: q+1
     376: 2
     378: q+1
     380: q+1
     382: q+1
     384: q+1
     386: 1
     388: 1
     389: 1
     390: 1
     391: 1
     392: 1
     393: q+1
     394: 2
     396: q+1
     398: 2
     400: q+1
     402: 1
     403: 1
     404: 1
     405: 1
     406: 1
     407: 2
     408: 1
     409: 1
     410: 1
     411: 1
     412: 2
     421: q+1
     422: 1
     423: 1
     424: q+1
     425: q+1
     426: q+1
     427: q+1
     436: 1
     439: 1
     444: 1
     448: 1
     450: 1
     452: q+1
     454: 1
     456: 1
     460: 1
     462: 2
     464: 1
     466: 1
     470: 1
     472: 2
     478: q+1
     480: 1
     482: 1
     484: q+1
     486: 1
     487: 1
     498: 1
     510: 1
     511: 1
     512: 1
     514: 1
     516: 1
     517: 1
     518: 1
     520: 1
     521: 1
     522: 1
     523: 1
     524: 1
     529: 1
     532: 1
     541: 1
     551: 1
     555: 1
     557: 1
     563: 1
     567: 1
     569: 1
     577: 1
     579: 1
     583: 1
     601: 1
     605: 1
     607: 1
     608: 1
     609: 1
     610: 1
     647: 1
     657: 1
     663: 1
     667: 1
     669: 1
     692: 1
     739: 1

740:   0: 3q^2+4q+1
       1: 3q^2+4q+1
       2: 3q^2+4q+1
       3: q^3+3q^2+3q+1
       4: 3q^2+4q+1
       5: 2q^3+3q^2+2q+1
       6: q^3+3q^2+3q+1
       7: 3q^2+4q+1
       8: 3q^2+4q+1
       9: q^4+2q^3+2q^2+2q+1
      10: 2q^3+3q^2+2q+1
      11: q^4+2q^3+2q^2+2q+1
      12: q^3+3q^2+3q+1
      13: q^3+q^2+q+1
      14: q^3+q^2+q+1
      15: 3q^2+2q+1
      16: q^3+2q^2+2q+1
      17: 3q^2+2q+1
      18: q^3+q^2+q+1
      19: 3q^2+4q+1
      20: q^3+3q^2+3q+1
      21: 3q^2+4q+1
      22: q^3+q^2+q+1
      23: q^2+4q+1
      24: q^2+4q+1
      25: q^3+2q^2+2q+1
      26: q^3+q^2+q+1
      27: 2q^2+3q+1
      28: 2q^2+3q+1
      29: q^3+2q^2+2q+1
      30: 2q^2+3q+1
      31: 3q^2+4q+1
      32: 3q^2+4q+1
      33: 3q^2+4q+1
      34: 2q^3+3q^2+2q+1
      35: 3q^2+4q+1
      36: 3q^2+4q+1
      37: 3q^2+4q+1
      38: 2q^3+3q^2+2q+1
      39: q^3+q^2+q+1
      40: 2q^2+2q+1
      41: 2q^2+3q+1
      42: 3q^2+2q+1
      43: 3q^2+4q+1
      44: q^2+4q+1
      45: 3q^2+2q+1
      46: 3q^2+4q+1
      47: q^2+4q+1
      48: q^2+q
      49: 2q^2+3q+1
      50: q^2+q
      51: 2q^2+3q+1
      52: q^2+q
      53: 2q^2+3q+1
      54: q^3+q^2
      55: q^3+2q^2+2q+1
      56: 3q^2+2q+1
      57: q^3+2q^2+2q+1
      58: 3q^2+2q+1
      59: q^3+q^2+q+1
      60: q^2+4q+1
      61: q^2+4q+1
      62: q^3+2q^2+2q+1
      63: q^3+q^2+q+1
      64: 3q+1
      65: q^2+2q+1
      66: 3q+1
      67: q^2+q+1
      68: 2q^2+3q+1
      69: 2q^2+3q+1
      70: 2q^2+3q+1
      71: q^3+2q^2+2q+1
      72: 2q^2+3q+1
      73: 2q^2+3q+1
      74: 2q^2+3q+1
      75: q^3+2q^2+2q+1
      76: q^2
      77: 2q^2+2q+1
      78: q^2+q
      79: 2q^2+3q+1
      80: q
      81: q^2+3q+1
      82: q^3+q^2+q+1
      83: 2q+1
      84: 2q^2+2q+1
      85: q^2+q+1
      86: 2q+1
      87: 2q+1
      89: q^2+2q+1
      91: q^2+2q+1
      93: q^2+2q+1
      95: q^2+2q+1
      96: 3q^2+2q+1
      97: q^2+4q+1
      98: 2q^2+2q+1
      99: 2q^2+3q+1
     100: 3q^2+2q+1
     101: q^2+4q+1
     102: 2q^2+2q+1
     103: 2q^2+3q+1
     104: q^2+2q+1
     105: q^2+2q+1
     106: q+1
     107: q+1
     108: 3q+1
     109: q^2+2q+1
     110: 3q+1
     111: q^2+q+1
     112: 3q+1
     113: q^2+2q+1
     114: 3q+1
     115: q^2+q+1
     116: 3q+1
     117: q^2+2q+1
     118: 3q+1
     119: q^2+q+1
     120: 2q^2+3q+1
     121: 2q^2+3q+1
     122: 2q^2+3q+1
     123: q^3+2q^2+2q+1
     125: q+1
     127: q^2+2q+1
     129: q^2+2q+1
     130: q^2
     131: 2q^2+2q+1
     132: q
     133: q^2+3q+1
     134: q+1
     135: q+1
     137: q+1
     139: q+1
     141: q+1
     143: q+1
     144: q^2+q+1
     145: 2q+1
     146: 2q+1
     147: 2q+1
     148: q^2+2q+1
     149: 2q+1
     150: q^2+q+1
     151: 2q+1
     152: 2q^2+2q+1
     153: 2q+1
     154: q^2+2q+1
     155: 2q+1
     156: q^2+q+1
     157: 2q^2+2q+1
     158: 2q+1
     159: 2q+1
     160: 2q^2+2q+1
     161: 2q^2+3q+1
     163: q^2+2q+1
     165: q^2+2q+1
     167: q^2+2q+1
     169: q^2+2q+1
     170: q+1
     171: 1
     172: q+1
     173: 1
     174: 3q+1
     175: q^2+2q+1
     176: 3q+1
     177: q^2+q+1
     178: 3q+1
     179: q^2+2q+1
     180: 3q+1
     181: q^2+q+1
     182: 3q+1
     183: q^2+2q+1
     184: 3q+1
     185: q^2+q+1
     187: q+1
     189: q+1
     191: 1
     193: q+1
     195: q^2+2q+1
     197: q+1
     199: q+1
     201: q^2+2q+1
     203: q^2+2q+1
     205: q^2+2q+1
     207: q+1
     209: q+1
     211: q+1
     213: q+1
     214: q+1
     215: 1
     216: 1
     217: q+1
     218: q+1
     219: q+1
     220: q+1
     221: q+1
     222: q^2+q+1
     223: 2q+1
     224: 2q+1
     225: 2q+1
     226: q+1
     227: q^2+q+1
     228: 2q+1
     229: 2q+1
     230: 2q+1
     231: 2q+1
     233: q+1
     235: q+1
     237: q+1
     239: q+1
     240: q^2+q+1
     241: 2q+1
     242: 2q+1
     243: 2q^2+2q+1
     244: 2
     245: q+1
     246: 2
     247: q+1
     248: q+1
     249: 1
     250: q+1
     251: 1
     252: q+1
     253: 1
     254: q+1
     255: 1
     256: 3q+1
     257: q^2+2q+1
     258: 3q+1
     259: q^2+q+1
     261: q+1
     263: q+1
     265: q+1
     267: 1
     269: 1
     271: q+1
     273: 1
     275: q+1
     277: 1
     279: q+1
     281: q+1
     283: q+1
     285: q+1
     287: q^2+2q+1
     296: 1
     297: 1
     298: 1
     299: 1
     300: q+1
     302: 2
     304: q+1
     306: 2
     308: q+1
     309: q+1
     310: 1
     311: 1
     312: q+1
     313: q+1
     314: q+1
     315: q+1
     316: 2
     317: q+1
     318: 1
     319: 1
     320: q+1
     321: q+1
     322: q+1
     323: q+1
     324: 2
     326: q+1
     328: q+1
     330: q+1
     332: q+1
     333: q+1
     334: q^2+q+1
     335: 2q+1
     336: 2q+1
     337: 2q+1
     338: 2
     339: q+1
     340: 2
     341: q+1
     342: q+1
     343: 1
     344: q+1
     345: 1
     351: q+1
     355: 1
     357: 1
     359: 1
     361: q+1
     363: 1
     365: 1
     367: q+1
     369: 2
     371: 1
     373: 1
     375: q+1
     377: 2
     379: q+1
     381: q+1
     383: q+1
     385: q+1
     387: 1
     388: 1
     389: 1
     390: 1
     391: 1
     392: 1
     393: q+1
     395: 2
     397: q+1
     399: 2
     401: q+1
     402: 1
     403: 1
     404: 1
     405: 1
     406: 1
     407: 2
     408: 1
     409: 1
     410: 1
     411: 1
     412: 2
     421: q+1
     422: 1
     423: 1
     424: q+1
     425: q+1
     426: q+1
     427: q+1
     437: 1
     440: 1
     445: 1
     449: 1
     451: 1
     453: q+1
     455: 1
     457: 1
     461: 1
     463: 2
     465: 1
     467: 1
     471: 1
     473: 2
     479: q+1
     481: 1
     483: 1
     485: q+1
     486: 1
     487: 1
     498: 1
     510: 1
     511: 1
     512: 1
     514: 1
     516: 1
     517: 1
     518: 1
     520: 1
     521: 1
     522: 1
     523: 1
     524: 1
     530: 1
     533: 1
     542: 1
     552: 1
     556: 1
     558: 1
     564: 1
     568: 1
     570: 1
     578: 1
     580: 1
     584: 1
     601: 1
     605: 1
     607: 1
     608: 1
     609: 1
     610: 1
     648: 1
     658: 1
     664: 1
     668: 1
     670: 1
     692: 1
     740: 1

741:   0: 3q^3+7q^2+5q+1
       1: 3q^2+4q+1
       2: 3q^3+7q^2+5q+1
       3: q^4+4q^3+6q^2+4q+1
       4: 3q^3+7q^2+5q+1
       5: 3q^2+4q+1
       6: q^3+3q^2+3q+1
       7: 3q^2+4q+1
       8: 3q^3+7q^2+5q+1
       9: q^3+3q^2+3q+1
      10: 3q^2+4q+1
      11: q^4+2q^3+2q^2+2q+1
      12: q^4+4q^3+6q^2+4q+1
      13: q^4+2q^3+2q^2+2q+1
      15: 3q^2+4q+1
      16: q^3+3q^2+3q+1
      17: 3q^2+4q+1
      18: q^4+2q^3+2q^2+2q+1
      19: 3q^2+4q+1
      20: q^3+3q^2+3q+1
      21: 3q^2+4q+1
      23: q^3+5q^2+5q+1
      24: q^3+5q^2+5q+1
      25: q^3+2q^2+2q+1
      26: q^3+2q^2+2q+1
      27: 2q^3+5q^2+4q+1
      28: 2q^2+3q+1
      29: 2q^2+3q+1
      30: 2q^3+5q^2+4q+1
      31: 3q^3+7q^2+5q+1
      32: 3q^2+4q+1
      33: 3q^3+7q^2+5q+1
      34: 3q^2+4q+1
      35: 3q^3+7q^2+5q+1
      36: 3q^2+4q+1
      37: 3q^3+7q^2+5q+1
      38: 3q^2+4q+1
      39: q^3+2q^2+2q+1
      40: 2q^2+3q+1
      41: 2q^2+3q+1
      42: 3q^2+4q+1
      43: 3q^2+4q+1
      44: q^3+5q^2+5q+1
      45: 3q^2+4q+1
      46: 3q^2+4q+1
      47: q^3+5q^2+5q+1
      48: 2q^3+5q^2+4q+1
      49: q^3+2q^2+q
      50: 2q^2+3q+1
      51: q^2+q
      52: 2q^3+5q^2+4q+1
      53: q^3+2q^2+q
      54: 2q^2+3q+1
      55: q^2+q
      56: 3q^2+4q+1
      57: q^3+3q^2+3q+1
      58: 3q^2+4q+1
      60: q^2+4q+1
      61: q^2+4q+1
      62: q^3+2q^2+2q+1
      64: 3q^2+4q+1
      65: q^2+2q+1
      66: 3q^2+4q+1
      67: q^2+2q+1
      68: 2q^3+5q^2+4q+1
      69: 2q^2+3q+1
      70: 2q^3+5q^2+4q+1
      71: 2q^2+3q+1
      72: 2q^3+5q^2+4q+1
      73: 2q^2+3q+1
      74: 2q^3+5q^2+4q+1
      75: 2q^2+3q+1
      76: 2q^2+3q+1
      77: q^2+q
      78: 2q^2+3q+1
      79: q^2+q
      80: q^3+4q^2+4q+1
      81: q^2+q
      83: 2q+1
      84: 2q^2+3q+1
      85: q^2+2q+1
      86: 2q^2+3q+1
      87: 2q^2+3q+1
      88: q^3+3q^2+3q+1
      90: q^2+2q+1
      92: q^3+3q^2+3q+1
      94: q^2+2q+1
      96: 3q^2+4q+1
      97: q^2+4q+1
      98: 2q^2+3q+1
      99: 2q^2+3q+1
     100: 3q^2+4q+1
     101: q^2+4q+1
     102: 2q^2+3q+1
     103: 2q^2+3q+1
     104: q^2+4q+1
     105: q^2+4q+1
     106: q^3+2q^2+2q+1
     108: 3q+1
     109: q^2+2q+1
     110: 3q+1
     112: 3q^2+4q+1
     113: q^2+2q+1
     114: 3q^2+4q+1
     115: q^2+2q+1
     116: 3q^2+4q+1
     117: q^2+2q+1
     118: 3q^2+4q+1
     119: q^2+2q+1
     120: 2q^3+5q^2+4q+1
     121: 2q^2+3q+1
     122: 2q^3+5q^2+4q+1
     123: 2q^2+3q+1
     124: q^2+2q+1
     126: q^2+2q+1
     128: q^2+2q+1
     130: 2q^2+3q+1
     131: q^2+q
     132: q^2+3q+1
     133: q
     135: 2q+1
     136: q^2+2q+1
     138: q+1
     140: q^2+2q+1
     142: q+1
     145: 2q+1
     146: 2q+1
     147: 2q+1
     148: q^2+4q+1
     149: 2q+1
     150: q^2+2q+1
     151: 2q^2+3q+1
     152: 2q^2+3q+1
     153: 2q^2+3q+1
     154: q^2+4q+1
     155: 2q+1
     156: q^2+2q+1
     157: 2q^2+3q+1
     158: 2q^2+3q+1
     159: 2q^2+3q+1
     160: 2q^2+3q+1
     161: 2q^2+3q+1
     162: q^3+3q^2+3q+1
     164: q^2+2q+1
     166: q^3+3q^2+3q+1
     168: q^2+2q+1
     170: 3q+1
     171: q^2+2q+1
     172: 3q+1
     174: 3q+1
     175: q^2+2q+1
     176: 3q+1
     178: 3q+1
     179: q^2+2q+1
     180: 3q+1
     182: 3q^2+4q+1
     183: q^2+2q+1
     184: 3q^2+4q+1
     185: q^2+2q+1
     186: q+1
     188: q+1
     190: q+1
     192: q+1
     194: q^2+2q+1
     196: q^2+2q+1
     198: q^2+2q+1
     200: q^2+3q+1
     201: q
     202: q^2+2q+1
     204: q^2+2q+1
     206: q+1
     208: q+1
     210: q+1
     216: 2q+1
     217: 2q+1
     218: q+1
     219: 2q+1
     220: q+1
     221: 2q+1
     223: 2q+1
     224: 2q+1
     225: 2q+1
     226: 2q+1
     228: 2q+1
     229: 2q+1
     230: 2q+1
     231: 2q+1
     232: q^2+2q+1
     234: q+1
     236: q^2+2q+1
     238: q+1
     240: q^2+2q+1
     241: 2q^2+3q+1
     242: 2q^2+3q+1
     243: 2q^2+3q+1
     244: 2q+2
     245: q+1
     246: 2q+2
     247: q+1
     248: 3q+1
     249: q^2+2q+1
     250: 3q+1
     252: 3q+1
     253: q^2+2q+1
     254: 3q+1
     256: 3q+1
     257: q^2+2q+1
     258: 3q+1
     262: q+1
     264: q+1
     266: 1
     268: 1
     270: q+1
     272: q+1
     274: q+1
     276: q+1
     278: q+1
     280: q+1
     282: q+1
     284: q^2+2q+1
     286: q^2+2q+1
     288: q+1
     290: q+1
     292: q+1
     297: q+1
     298: q+1
     299: 1
     300: q+1
     301: 2q+2
     303: q+1
     305: 2q+2
     307: q+1
     311: 2q+1
     312: 2q+1
     313: q+1
     314: 2q+1
     315: q+1
     316: 2q+2
     319: 2q+1
     320: 2q+1
     321: q+1
     322: 2q+1
     323: q+1
     324: 2q+2
     325: q+1
     327: q+1
     329: q+1
     333: 2q+1
     335: 2q+1
     336: 2q+1
     337: 2q+1
     338: 2
     339: q+1
     340: 2
     342: 3q+1
     343: q^2+2q+1
     344: 3q+1
     348: q+1
     352: 1
     354: 1
     356: 1
     358: 1
     360: q+1
     362: 1
     364: 1
     366: q+1
     368: 2q+2
     370: 1
     372: 1
     374: q+1
     376: 2q+2
     380: q+1
     382: q+1
     384: q+1
     386: q+1
     388: q+1
     389: q+1
     392: 1
     394: 2
     396: q+1
     398: 2
     402: 1
     404: q+1
     405: q+1
     406: 1
     407: 2
     409: q+1
     410: q+1
     411: 1
     412: 2
     413: q+1
     415: q+1
     417: q+1
     423: 2q+1
     424: 2q+1
     425: q+1
     426: 2q+1
     427: q+1
     432: 2
     433: q+1
     434: 2
     436: q+1
     439: q+1
     446: 1
     448: 1
     450: 1
     454: 1
     456: 1
     458: 1
     460: 1
     462: 2
     464: 1
     466: 1
     468: 1
     470: 1
     472: 2
     476: q+1
     480: 1
     482: 1
     484: q+1
     486: 1
     487: 1
     499: 2
     501: q+1
     503: 2
     508: 1
     512: 1
     513: 2
     514: 1
     518: 1
     519: 2
     520: 1
     522: q+1
     523: q+1
     524: 1
     529: 1
     532: 1
     543: 1
     553: 1
     555: 1
     557: 1
     559: 2
     565: 1
     567: 1
     569: 1
     571: 2
     577: 1
     579: 1
     581: 1
     583: 1
     585: 1
     586: 1
     602: 1
     606: 1
     609: 1
     610: 1
     621: 1
     624: 1
     649: 1
     659: 1
     665: 1
     667: 1
     669: 1
     694: 1
     741: 1

742:   0: 3q^3+7q^2+5q+1
       1: 3q^2+4q+1
       2: 3q^3+7q^2+5q+1
       3: q^4+4q^3+6q^2+4q+1
       4: 3q^3+7q^2+5q+1
       5: 3q^2+4q+1
       6: q^3+3q^2+3q+1
       7: 3q^2+4q+1
       8: 3q^3+7q^2+5q+1
       9: q^3+3q^2+3q+1
      10: 3q^2+4q+1
      11: q^4+2q^3+2q^2+2q+1
      12: q^4+4q^3+6q^2+4q+1
      13: q^4+2q^3+2q^2+2q+1
      15: 3q^2+4q+1
      16: q^3+3q^2+3q+1
      17: 3q^2+4q+1
      18: q^4+2q^3+2q^2+2q+1
      19: 3q^2+4q+1
      20: q^3+3q^2+3q+1
      21: 3q^2+4q+1
      23: q^3+5q^2+5q+1
      24: q^3+5q^2+5q+1
      25: q^3+2q^2+2q+1
      26: q^3+2q^2+2q+1
      27: 2q^3+5q^2+4q+1
      28: 2q^2+3q+1
      29: 2q^2+3q+1
      30: 2q^3+5q^2+4q+1
      31: 3q^3+7q^2+5q+1
      32: 3q^2+4q+1
      33: 3q^3+7q^2+5q+1
      34: 3q^2+4q+1
      35: 3q^3+7q^2+5q+1
      36: 3q^2+4q+1
      37: 3q^3+7q^2+5q+1
      38: 3q^2+4q+1
      39: q^3+2q^2+2q+1
      40: 2q^2+3q+1
      41: 2q^2+3q+1
      42: 3q^2+4q+1
      43: 3q^2+4q+1
      44: q^3+5q^2+5q+1
      45: 3q^2+4q+1
      46: 3q^2+4q+1
      47: q^3+5q^2+5q+1
      48: q^3+2q^2+q
      49: 2q^3+5q^2+4q+1
      50: q^2+q
      51: 2q^2+3q+1
      52: q^3+2q^2+q
      53: 2q^3+5q^2+4q+1
      54: q^2+q
      55: 2q^2+3q+1
      56: 3q^2+4q+1
      57: q^3+3q^2+3q+1
      58: 3q^2+4q+1
      60: q^2+4q+1
      61: q^2+4q+1
      62: q^3+2q^2+2q+1
      64: 3q^2+4q+1
      65: q^2+2q+1
      66: 3q^2+4q+1
      67: q^2+2q+1
      68: 2q^3+5q^2+4q+1
      69: 2q^2+3q+1
      70: 2q^3+5q^2+4q+1
      71: 2q^2+3q+1
      72: 2q^3+5q^2+4q+1
      73: 2q^2+3q+1
      74: 2q^3+5q^2+4q+1
      75: 2q^2+3q+1
      76: q^2+q
      77: 2q^2+3q+1
      78: q^2+q
      79: 2q^2+3q+1
      80: q^2+q
      81: q^3+4q^2+4q+1
      83: 2q+1
      84: 2q^2+3q+1
      85: q^2+2q+1
      86: 2q^2+3q+1
      87: 2q^2+3q+1
      89: q^3+3q^2+3q+1
      91: q^2+2q+1
      93: q^3+3q^2+3q+1
      95: q^2+2q+1
      96: 3q^2+4q+1
      97: q^2+4q+1
      98: 2q^2+3q+1
      99: 2q^2+3q+1
     100: 3q^2+4q+1
     101: q^2+4q+1
     102: 2q^2+3q+1
     103: 2q^2+3q+1
     104: q^2+4q+1
     105: q^2+4q+1
     106: q^3+2q^2+2q+1
     108: 3q+1
     109: q^2+2q+1
     110: 3q+1
     112: 3q^2+4q+1
     113: q^2+2q+1
     114: 3q^2+4q+1
     115: q^2+2q+1
     116: 3q^2+4q+1
     117: q^2+2q+1
     118: 3q^2+4q+1
     119: q^2+2q+1
     120: 2q^3+5q^2+4q+1
     121: 2q^2+3q+1
     122: 2q^3+5q^2+4q+1
     123: 2q^2+3q+1
     125: q^2+2q+1
     127: q^2+2q+1
     129: q^2+2q+1
     130: q^2+q
     131: 2q^2+3q+1
     132: q
     133: q^2+3q+1
     135: 2q+1
     137: q^2+2q+1
     139: q+1
     141: q^2+2q+1
     143: q+1
     145: 2q+1
     146: 2q+1
     147: 2q+1
     148: q^2+4q+1
     149: 2q+1
     150: q^2+2q+1
     151: 2q^2+3q+1
     152: 2q^2+3q+1
     153: 2q^2+3q+1
     154: q^2+4q+1
     155: 2q+1
     156: q^2+2q+1
     157: 2q^2+3q+1
     158: 2q^2+3q+1
     159: 2q^2+3q+1
     160: 2q^2+3q+1
     161: 2q^2+3q+1
     163: q^3+3q^2+3q+1
     165: q^2+2q+1
     167: q^3+3q^2+3q+1
     169: q^2+2q+1
     170: 3q+1
     171: q^2+2q+1
     172: 3q+1
     174: 3q+1
     175: q^2+2q+1
     176: 3q+1
     178: 3q+1
     179: q^2+2q+1
     180: 3q+1
     182: 3q^2+4q+1
     183: q^2+2q+1
     184: 3q^2+4q+1
     185: q^2+2q+1
     187: q+1
     189: q+1
     191: q+1
     193: q+1
     195: q^2+2q+1
     197: q^2+2q+1
     199: q^2+2q+1
     200: q
     201: q^2+3q+1
     203: q^2+2q+1
     205: q^2+2q+1
     207: q+1
     209: q+1
     211: q+1
     216: 2q+1
     217: 2q+1
     218: q+1
     219: 2q+1
     220: q+1
     221: 2q+1
     223: 2q+1
     224: 2q+1
     225: 2q+1
     226: 2q+1
     228: 2q+1
     229: 2q+1
     230: 2q+1
     231: 2q+1
     233: q^2+2q+1
     235: q+1
     237: q^2+2q+1
     239: q+1
     240: q^2+2q+1
     241: 2q^2+3q+1
     242: 2q^2+3q+1
     243: 2q^2+3q+1
     244: 2q+2
     245: q+1
     246: 2q+2
     247: q+1
     248: 3q+1
     249: q^2+2q+1
     250: 3q+1
     252: 3q+1
     253: q^2+2q+1
     254: 3q+1
     256: 3q+1
     257: q^2+2q+1
     258: 3q+1
     263: q+1
     265: q+1
     267: 1
     269: 1
     271: q+1
     273: q+1
     275: q+1
     277: q+1
     279: q+1
     281: q+1
     283: q+1
     285: q^2+2q+1
     287: q^2+2q+1
     289: q+1
     291: q+1
     293: q+1
     297: q+1
     298: q+1
     299: 1
     300: q+1
     302: 2q+2
     304: q+1
     306: 2q+2
     308: q+1
     311: 2q+1
     312: 2q+1
     313: q+1
     314: 2q+1
     315: q+1
     316: 2q+2
     319: 2q+1
     320: 2q+1
     321: q+1
     322: 2q+1
     323: q+1
     324: 2q+2
     326: q+1
     328: q+1
     330: q+1
     333: 2q+1
     335: 2q+1
     336: 2q+1
     337: 2q+1
     338: 2
     339: q+1
     340: 2
     342: 3q+1
     343: q^2+2q+1
     344: 3q+1
     349: q+1
     353: 1
     355: 1
     357: 1
     359: 1
     361: q+1
     363: 1
     365: 1
     367: q+1
     369: 2q+2
     371: 1
     373: 1
     375: q+1
     377: 2q+2
     381: q+1
     383: q+1
     385: q+1
     387: q+1
     388: q+1
     389: q+1
     392: 1
     395: 2
     397: q+1
     399: 2
     402: 1
     404: q+1
     405: q+1
     406: 1
     407: 2
     409: q+1
     410: q+1
     411: 1
     412: 2
     414: q+1
     416: q+1
     418: q+1
     423: 2q+1
     424: 2q+1
     425: q+1
     426: 2q+1
     427: q+1
     432: 2
     433: q+1
     434: 2
     437: q+1
     440: q+1
     447: 1
     449: 1
     451: 1
     455: 1
     457: 1
     459: 1
     461: 1
     463: 2
     465: 1
     467: 1
     469: 1
     471: 1
     473: 2
     477: q+1
     481: 1
     483: 1
     485: q+1
     486: 1
     487: 1
     500: 2
     502: q+1
     504: 2
     508: 1
     512: 1
     513: 2
     514: 1
     518: 1
     519: 2
     520: 1
     522: q+1
     523: q+1
     524: 1
     530: 1
     533: 1
     544: 1
     554: 1
     556: 1
     558: 1
     560: 2
     566: 1
     568: 1
     570: 1
     572: 2
     578: 1
     580: 1
     582: 1
     584: 1
     585: 1
     586: 1
     602: 1
     606: 1
     609: 1
     610: 1
     622: 1
     625: 1
     650: 1
     660: 1
     666: 1
     668: 1
     670: 1
     694: 1
     742: 1

743:   0: 3q+1
       1: 3q+1
       2: 3q+1
       3: q^2+2q+1
       4: 3q+1
       6: q^2+2q+1
       7: 3q+1
       8: 3q+1
      11: q^2+2q+1
      12: q^2+2q+1
      19: 3q+1
      20: q^2+2q+1
      21: 3q+1
      23: 3q+1
      24: 3q+1
      25: q^2+2q+1
      27: 2q+1
      28: 2q+1
      30: 2q+1
      31: 3q+1
      32: 3q+1
      33: 3q+1
      35: 3q+1
      36: 3q+1
      37: 3q+1
      41: 2q+1
      43: 3q+1
      44: 3q+1
      46: 3q+1
      47: 3q+1
      48: 2q+1
      49: q
      50: 2q+1
      51: q
      52: 2q+1
      53: q
      60: 3q+1
      61: 3q+1
      62: q^2+2q+1
      64: 2q+1
      65: 2q+1
      66: 2q+1
      68: 2q+1
      69: 2q+1
      70: 2q+1
      72: 2q+1
      73: 2q+1
      74: 2q+1
      78: 2q+1
      79: q
      80: 2q+1
      81: q
      83: 2q+1
      86: q+1
      87: q+1
      88: q+1
      90: q+1
      92: q+1
      97: 3q+1
      99: 2q+1
     101: 3q+1
     103: 2q+1
     108: 2q+1
     109: 2q+1
     110: 2q+1
     112: 2q+1
     113: 2q+1
     114: 2q+1
     116: 2q+1
     117: 2q+1
     118: 2q+1
     120: 2q+1
     121: 2q+1
     122: 2q+1
     124: 1
     128: q+1
     132: 2q+1
     133: q
     136: q+1
     138: q+1
     140: q+1
     145: 2q+1
     146: q+1
     147: q+1
     149: 2q+1
     151: q+1
     153: q+1
     155: 2q+1
     158: q+1
     159: q+1
     161: 2q+1
     162: q+1
     164: q+1
     166: q+1
     174: 2q+1
     175: 2q+1
     176: 2q+1
     178: 2q+1
     179: 2q+1
     180: 2q+1
     182: 2q+1
     183: 2q+1
     184: 2q+1
     186: q+1
     190: 1
     192: 1
     196: 1
     198: 1
     204: q+1
     206: q+1
     208: q+1
     210: q+1
     218: q+1
     220: q+1
     223: 2q+1
     224: q+1
     225: q+1
     228: 2q+1
     229: q+1
     230: q+1
     231: 2q+1
     232: q+1
     234: q+1
     236: q+1
     241: q+1
     242: q+1
     244: 2
     245: q+1
     246: 2
     256: 2q+1
     257: 2q+1
     258: 2q+1
     262: q+1
     266: 1
     268: 1
     272: 1
     274: 1
     276: 1
     278: 1
     280: q+1
     284: 1
     299: 1
     301: 2
     303: q+1
     305: 2
     313: q+1
     315: q+1
     316: 2
     321: q+1
     323: q+1
     324: 2
     325: q+1
     327: q+1
     329: q+1
     335: 2q+1
     336: q+1
     337: q+1
     338: 2
     339: q+1
     340: 2
     354: 1
     358: 1
     362: 1
     364: 1
     368: 2
     370: 1
     372: 1
     376: 2
     380: q+1
     384: 1
     386: 1
     388: 1
     389: 1
     394: 2
     396: q+1
     398: 2
     402: 1
     406: 1
     407: 2
     411: 1
     412: 2
     425: q+1
     427: q+1
     428: 2
     429: q+1
     430: 2
     436: 1
     439: 1
     448: 1
     454: 1
     460: 1
     462: 2
     464: 1
     470: 1
     472: 2
     480: 1
     482: 1
     486: 1
     487: 1
     489: 2
     491: q+1
     493: 2
     497: 1
     509: 2
     514: 1
     515: 2
     520: 1
     524: 1
     529: 1
     532: 1
     539: 1
     549: 2
     555: 1
     561: 2
     567: 1
     575: 1
     576: 1
     577: 1
     583: 1
     600: 1
     604: 1
     610: 1
     615: 1
     618: 1
     645: 1
     655: 1
     667: 1
     693: 1
     743: 1

744:   0: 3q+1
       1: 3q+1
       2: 3q+1
       3: q^2+2q+1
       4: 3q+1
       6: q^2+2q+1
       7: 3q+1
       8: 3q+1
      11: q^2+2q+1
      12: q^2+2q+1
      19: 3q+1
      20: q^2+2q+1
      21: 3q+1
      23: 3q+1
      24: 3q+1
      25: q^2+2q+1
      27: 2q+1
      28: 2q+1
      30: 2q+1
      31: 3q+1
      32: 3q+1
      33: 3q+1
      35: 3q+1
      36: 3q+1
      37: 3q+1
      41: 2q+1
      43: 3q+1
      44: 3q+1
      46: 3q+1
      47: 3q+1
      48: q
      49: 2q+1
      50: q
      51: 2q+1
      52: q
      53: 2q+1
      60: 3q+1
      61: 3q+1
      62: q^2+2q+1
      64: 2q+1
      65: 2q+1
      66: 2q+1
      68: 2q+1
      69: 2q+1
      70: 2q+1
      72: 2q+1
      73: 2q+1
      74: 2q+1
      78: q
      79: 2q+1
      80: q
      81: 2q+1
      83: 2q+1
      86: q+1
      87: q+1
      89: q+1
      91: q+1
      93: q+1
      97: 3q+1
      99: 2q+1
     101: 3q+1
     103: 2q+1
     108: 2q+1
     109: 2q+1
     110: 2q+1
     112: 2q+1
     113: 2q+1
     114: 2q+1
     116: 2q+1
     117: 2q+1
     118: 2q+1
     120: 2q+1
     121: 2q+1
     122: 2q+1
     125: 1
     129: q+1
     132: q
     133: 2q+1
     137: q+1
     139: q+1
     141: q+1
     145: 2q+1
     146: q+1
     147: q+1
     149: 2q+1
     151: q+1
     153: q+1
     155: 2q+1
     158: q+1
     159: q+1
     161: 2q+1
     163: q+1
     165: q+1
     167: q+1
     174: 2q+1
     175: 2q+1
     176: 2q+1
     178: 2q+1
     179: 2q+1
     180: 2q+1
     182: 2q+1
     183: 2q+1
     184: 2q+1
     187: q+1
     191: 1
     193: 1
     197: 1
     199: 1
     205: q+1
     207: q+1
     209: q+1
     211: q+1
     218: q+1
     220: q+1
     223: 2q+1
     224: q+1
     225: q+1
     228: 2q+1
     229: q+1
     230: q+1
     231: 2q+1
     233: q+1
     235: q+1
     237: q+1
     241: q+1
     242: q+1
     244: 2
     245: q+1
     246: 2
     256: 2q+1
     257: 2q+1
     258: 2q+1
     263: q+1
     267: 1
     269: 1
     273: 1
     275: 1
     277: 1
     279: 1
     281: q+1
     285: 1
     299: 1
     302: 2
     304: q+1
     306: 2
     313: q+1
     315: q+1
     316: 2
     321: q+1
     323: q+1
     324: 2
     326: q+1
     328: q+1
     330: q+1
     335: 2q+1
     336: q+1
     337: q+1
     338: 2
     339: q+1
     340: 2
     355: 1
     359: 1
     363: 1
     365: 1
     369: 2
     371: 1
     373: 1
     377: 2
     381: q+1
     385: 1
     387: 1
     388: 1
     389: 1
     395: 2
     397: q+1
     399: 2
     402: 1
     406: 1
     407: 2
     411: 1
     412: 2
     425: q+1
     427: q+1
     428: 2
     429: q+1
     430: 2
     437: 1
     440: 1
     449: 1
     455: 1
     461: 1
     463: 2
     465: 1
     471: 1
     473: 2
     481: 1
     483: 1
     486: 1
     487: 1
     490: 2
     492: q+1
     494: 2
     497: 1
     509: 2
     514: 1
     515: 2
     520: 1
     524: 1
     530: 1
     533: 1
     540: 1
     550: 2
     556: 1
     562: 2
     568: 1
     575: 1
     576: 1
     578: 1
     584: 1
     600: 1
     604: 1
     610: 1
     616: 1
     619: 1
     646: 1
     656: 1
     668: 1
     693: 1
     744: 1

745:   0: q^2+2q+1
       1: 2q^2+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: 2q^2+1
       6: 2q^2+1
       7: 2q^2+1
       8: q^2+2q+1
       9: 2q^2+1
      10: 2q^2+1
      11: q^4+q^2+1
      12: q^2+2q+1
      13: q^4+q^2+1
      15: 2q^2+1
      16: 2q^2+1
      17: 2q^2+1
      18: q^4+q^2+1
      19: q^2+1
      20: q^2+1
      21: q^2+1
      23: 2q+1
      24: 2q+1
      25: q^2+1
      26: q^2+1
      27: q^2+2q+1
      28: 2q^2+1
      29: 2q^2+1
      30: q^2+2q+1
      31: q^2+2q+1
      32: 2q^2+1
      33: q^2+2q+1
      34: 2q^2+1
      35: q^2+2q+1
      36: 2q^2+1
      37: q^2+2q+1
      38: 2q^2+1
      39: q^2+1
      40: 2q^2+1
      41: q^2+1
      42: 2q^2+1
      43: q^2+1
      44: 2q+1
      45: 2q^2+1
      46: q^2+1
      47: 2q+1
      48: q^2+q+1
      49: q
      50: q^2+1
      51: q^2
      52: q^2+q+1
      53: q
      54: q^2+1
      55: q^2
      56: q^2+1
      57: q^2+1
      58: q^2+1
      60: 1
      61: 1
      62: 1
      64: 2q+1
      65: q^2+1
      66: 2q+1
      67: q^2+1
      68: q^2+2q+1
      69: 2q^2+1
      70: q^2+2q+1
      71: 2q^2+1
      72: q^2+2q+1
      73: 2q^2+1
      74: q^2+2q+1
      75: 2q^2+1
      76: q^2+1
      77: q^2
      78: q^2+1
      80: q+1
      81: q
      83: 1
      84: q^2+1
      85: q^2+1
      86: 2q+1
      87: 2q+1
      88: q^2+q+1
      89: q
      90: q^2+1
      91: q^2
      92: q^2+q+1
      93: q
      94: q^2+1
      95: q^2
      96: q^2+1
      97: 1
      98: 2q^2+1
      99: q^2+1
     100: q^2+1
     101: 1
     102: 2q^2+1
     103: q^2+1
     104: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: 1
     112: 2q+1
     113: q^2+1
     114: 2q+1
     115: q^2+1
     116: 2q+1
     117: q^2+1
     118: 2q+1
     119: q^2+1
     120: q^2+2q+1
     121: 2q^2+1
     122: q^2+2q+1
     123: 2q^2+1
     124: q+1
     125: q
     126: q^2+1
     127: q^2
     128: q^2+1
     130: q^2+1
     132: 1
     135: 1
     136: q+1
     138: 1
     140: q+1
     142: 1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: q^2+1
     151: 2q+1
     152: q^2+1
     153: 2q+1
     154: 1
     155: 1
     156: q^2+1
     157: q^2+1
     158: 2q+1
     159: 2q+1
     160: 2q^2+1
     161: q^2+1
     162: q^2+q+1
     163: q
     164: q^2+1
     165: q^2
     166: q^2+q+1
     167: q
     168: q^2+1
     169: q^2
     170: 1
     171: 1
     172: 1
     174: 1
     175: 1
     176: 1
     178: 1
     179: 1
     180: 1
     182: 2q+1
     183: q^2+1
     184: 2q+1
     185: q^2+1
     186: 1
     188: 1
     190: q+1
     192: 1
     194: q^2+1
     196: q+1
     197: q
     198: q+1
     199: q
     200: 1
     202: q^2+1
     203: q^2
     204: q^2+1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     223: 1
     224: 1
     225: 1
     226: 1
     228: 1
     229: 1
     230: 1
     231: 1
     232: q+1
     234: 1
     236: q+1
     238: 1
     240: q^2+1
     241: 2q+1
     242: 2q+1
     243: q^2+1
     244: 2q+1
     245: q^2+1
     246: 2q+1
     247: q^2+1
     248: 1
     249: 1
     250: 1
     252: 1
     253: 1
     254: 1
     256: 1
     257: 1
     258: 1
     264: 1
     268: 1
     270: 1
     272: q+1
     274: 1
     276: q+1
     278: 1
     280: 1
     282: 1
     284: q+1
     285: q
     286: q^2+1
     297: 1
     298: 1
     299: 1
     300: q^2+1
     301: q+1
     303: 1
     305: q+1
     307: 1
     311: 1
     312: 1
     313: 1
     314: 1
     315: 1
     316: 2q+1
     319: 1
     320: 1
     321: 1
     322: 1
     323: 1
     324: 2q+1
     333: 1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: 1
     342: 1
     343: 1
     344: 1
     356: 1
     358: 1
     360: 1
     362: 1
     366: 1
     368: q+1
     370: 1
     374: 1
     376: q+1
     382: 1
     384: 1
     386: q+1
     388: q+1
     389: q
     392: 1
     402: 1
     404: 1
     405: 1
     406: 1
     407: 1
     409: 1
     410: 1
     411: 1
     412: 1
     423: 1
     424: 1
     425: 1
     426: 1
     427: 1
     432: 1
     433: 1
     434: 1
     436: q+1
     450: 1
     456: 1
     460: 1
     466: 1
     470: 1
     480: 1
     484: 1
     486: 1
     508: 1
     512: 1
     513: 1
     514: 1
     518: 1
     519: 1
     520: 1
     522: 1
     523: 1
     524: 1
     547: 1
     557: 1
     569: 1
     579: 1
     583: 1
     585: 1
     602: 1
     606: 1
     609: 1
     610: 1
     635: 1
     669: 1
     671: 1
     694: 1
     745: 1

746:   0: q^2+2q+1
       1: 2q^2+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: 2q^2+1
       6: 2q^2+1
       7: 2q^2+1
       8: q^2+2q+1
       9: 2q^2+1
      10: 2q^2+1
      11: q^4+q^2+1
      12: q^2+2q+1
      13: q^4+q^2+1
      15: 2q^2+1
      16: 2q^2+1
      17: 2q^2+1
      18: q^4+q^2+1
      19: q^2+1
      20: q^2+1
      21: q^2+1
      23: 2q+1
      24: 2q+1
      25: q^2+1
      26: q^2+1
      27: q^2+2q+1
      28: 2q^2+1
      29: 2q^2+1
      30: q^2+2q+1
      31: q^2+2q+1
      32: 2q^2+1
      33: q^2+2q+1
      34: 2q^2+1
      35: q^2+2q+1
      36: 2q^2+1
      37: q^2+2q+1
      38: 2q^2+1
      39: q^2+1
      40: 2q^2+1
      41: q^2+1
      42: 2q^2+1
      43: q^2+1
      44: 2q+1
      45: 2q^2+1
      46: q^2+1
      47: 2q+1
      48: q
      49: q^2+q+1
      50: q^2
      51: q^2+1
      52: q
      53: q^2+q+1
      54: q^2
      55: q^2+1
      56: q^2+1
      57: q^2+1
      58: q^2+1
      60: 1
      61: 1
      62: 1
      64: 2q+1
      65: q^2+1
      66: 2q+1
      67: q^2+1
      68: q^2+2q+1
      69: 2q^2+1
      70: q^2+2q+1
      71: 2q^2+1
      72: q^2+2q+1
      73: 2q^2+1
      74: q^2+2q+1
      75: 2q^2+1
      76: q^2
      77: q^2+1
      79: q^2+1
      80: q
      81: q+1
      83: 1
      84: q^2+1
      85: q^2+1
      86: 2q+1
      87: 2q+1
      88: q
      89: q^2+q+1
      90: q^2
      91: q^2+1
      92: q
      93: q^2+q+1
      94: q^2
      95: q^2+1
      96: q^2+1
      97: 1
      98: 2q^2+1
      99: q^2+1
     100: q^2+1
     101: 1
     102: 2q^2+1
     103: q^2+1
     104: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: 1
     112: 2q+1
     113: q^2+1
     114: 2q+1
     115: q^2+1
     116: 2q+1
     117: q^2+1
     118: 2q+1
     119: q^2+1
     120: q^2+2q+1
     121: 2q^2+1
     122: q^2+2q+1
     123: 2q^2+1
     124: q
     125: q+1
     126: q^2
     127: q^2+1
     129: q^2+1
     131: q^2+1
     133: 1
     135: 1
     137: q+1
     139: 1
     141: q+1
     143: 1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: q^2+1
     151: 2q+1
     152: q^2+1
     153: 2q+1
     154: 1
     155: 1
     156: q^2+1
     157: q^2+1
     158: 2q+1
     159: 2q+1
     160: 2q^2+1
     161: q^2+1
     162: q
     163: q^2+q+1
     164: q^2
     165: q^2+1
     166: q
     167: q^2+q+1
     168: q^2
     169: q^2+1
     170: 1
     171: 1
     172: 1
     174: 1
     175: 1
     176: 1
     178: 1
     179: 1
     180: 1
     182: 2q+1
     183: q^2+1
     184: 2q+1
     185: q^2+1
     187: 1
     189: 1
     191: q+1
     193: 1
     195: q^2+1
     196: q
     197: q+1
     198: q
     199: q+1
     201: 1
     202: q^2
     203: q^2+1
     205: q^2+1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     223: 1
     224: 1
     225: 1
     226: 1
     228: 1
     229: 1
     230: 1
     231: 1
     233: q+1
     235: 1
     237: q+1
     239: 1
     240: q^2+1
     241: 2q+1
     242: 2q+1
     243: q^2+1
     244: 2q+1
     245: q^2+1
     246: 2q+1
     247: q^2+1
     248: 1
     249: 1
     250: 1
     252: 1
     253: 1
     254: 1
     256: 1
     257: 1
     258: 1
     265: 1
     269: 1
     271: 1
     273: q+1
     275: 1
     277: q+1
     279: 1
     281: 1
     283: 1
     284: q
     285: q+1
     287: q^2+1
     297: 1
     298: 1
     299: 1
     300: q^2+1
     302: q+1
     304: 1
     306: q+1
     308: 1
     311: 1
     312: 1
     313: 1
     314: 1
     315: 1
     316: 2q+1
     319: 1
     320: 1
     321: 1
     322: 1
     323: 1
     324: 2q+1
     333: 1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: 1
     342: 1
     343: 1
     344: 1
     357: 1
     359: 1
     361: 1
     363: 1
     367: 1
     369: q+1
     371: 1
     375: 1
     377: q+1
     383: 1
     385: 1
     387: q+1
     388: q
     389: q+1
     392: 1
     402: 1
     404: 1
     405: 1
     406: 1
     407: 1
     409: 1
     410: 1
     411: 1
     412: 1
     423: 1
     424: 1
     425: 1
     426: 1
     427: 1
     432: 1
     433: 1
     434: 1
     440: q+1
     451: 1
     457: 1
     461: 1
     467: 1
     471: 1
     481: 1
     485: 1
     487: 1
     508: 1
     512: 1
     513: 1
     514: 1
     518: 1
     519: 1
     520: 1
     522: 1
     523: 1
     524: 1
     548: 1
     558: 1
     570: 1
     580: 1
     584: 1
     586: 1
     602: 1
     606: 1
     609: 1
     610: 1
     636: 1
     670: 1
     672: 1
     694: 1
     746: 1

747:   0: 1
       1: 1
       2: q^3+1
       3: 1
       4: 1
       6: 1
       7: 1
       8: q^3+1
      11: q^5+1
      12: q^3+1
      19: 1
      20: 1
      21: 1
      23: 1
      24: 1
      25: 1
      27: 1
      28: 1
      30: q^3+1
      31: 1
      32: 1
      33: q^3+1
      35: 1
      36: 1
      37: q^3+1
      41: 1
      43: 1
      44: 1
      46: 1
      47: 1
      48: 1
      50: 1
      52: q^3+1
      60: 1
      61: 1
      62: 1
      64: 1
      65: 1
      66: 1
      68: 1
      69: 1
      70: q^3+1
      72: 1
      73: 1
      74: q^3+1
      78: 1
      80: 1
      83: 1
      86: 1
      87: 1
      88: 1
      90: 1
      92: q^3+1
      97: 1
      99: 1
     101: 1
     103: 1
     108: 1
     109: 1
     110: 1
     112: 1
     113: 1
     114: 1
     116: 1
     117: 1
     118: 1
     120: 1
     121: 1
     122: q^3+1
     124: 1
     128: 1
     132: 1
     136: 1
     138: 1
     140: 1
     145: 1
     146: 1
     147: 1
     149: 1
     151: 1
     153: 1
     155: 1
     158: 1
     159: 1
     161: 1
     162: 1
     164: 1
     166: q^3+1
     174: 1
     175: 1
     176: 1
     178: 1
     179: 1
     180: 1
     182: 1
     183: 1
     184: 1
     186: 1
     190: 1
     192: 1
     196: 1
     198: 1
     204: 1
     206: 1
     208: 1
     210: 1
     218: 1
     220: 1
     223: 1
     224: 1
     225: 1
     228: 1
     229: 1
     230: 1
     231: 1
     232: 1
     234: 1
     236: 1
     241: 1
     242: 1
     244: 1
     245: 1
     246: 1
     256: 1
     257: 1
     258: 1
     262: 1
     266: 1
     268: 1
     272: 1
     274: 1
     276: 1
     278: 1
     280: 1
     284: 1
     299: 1
     301: 1
     303: 1
     305: 1
     313: 1
     315: 1
     316: 1
     321: 1
     323: 1
     324: 1
     325: 1
     327: 1
     329: 1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: 1
     354: 1
     358: 1
     362: 1
     364: 1
     368: 1
     370: 1
     372: 1
     376: 1
     380: 1
     384: 1
     386: 1
     388: 1
     394: 1
     396: 1
     398: 1
     402: 1
     406: 1
     407: 1
     411: 1
     412: 1
     425: 1
     427: 1
     436: 1
     448: 1
     454: 1
     460: 1
     462: 1
     464: 1
     470: 1
     472: 1
     480: 1
     482: 1
     486: 1
     514: 1
     520: 1
     524: 1
     529: 1
     547: 1
     555: 1
     567: 1
     577: 1
     583: 1
     610: 1
     637: 1
     667: 1
     671: 1
     747: 1

748:   0: 1
       1: 1
       2: q^3+1
       3: 1
       4: 1
       6: 1
       7: 1
       8: q^3+1
      11: q^5+1
      12: q^3+1
      19: 1
      20: 1
      21: 1
      23: 1
      24: 1
      25: 1
      27: 1
      28: 1
      30: q^3+1
      31: 1
      32: 1
      33: q^3+1
      35: 1
      36: 1
      37: q^3+1
      41: 1
      43: 1
      44: 1
      46: 1
      47: 1
      49: 1
      51: 1
      53: q^3+1
      60: 1
      61: 1
      62: 1
      64: 1
      65: 1
      66: 1
      68: 1
      69: 1
      70: q^3+1
      72: 1
      73: 1
      74: q^3+1
      79: 1
      81: 1
      83: 1
      86: 1
      87: 1
      89: 1
      91: 1
      93: q^3+1
      97: 1
      99: 1
     101: 1
     103: 1
     108: 1
     109: 1
     110: 1
     112: 1
     113: 1
     114: 1
     116: 1
     117: 1
     118: 1
     120: 1
     121: 1
     122: q^3+1
     125: 1
     129: 1
     133: 1
     137: 1
     139: 1
     141: 1
     145: 1
     146: 1
     147: 1
     149: 1
     151: 1
     153: 1
     155: 1
     158: 1
     159: 1
     161: 1
     163: 1
     165: 1
     167: q^3+1
     174: 1
     175: 1
     176: 1
     178: 1
     179: 1
     180: 1
     182: 1
     183: 1
     184: 1
     187: 1
     191: 1
     193: 1
     197: 1
     199: 1
     205: 1
     207: 1
     209: 1
     211: 1
     218: 1
     220: 1
     223: 1
     224: 1
     225: 1
     228: 1
     229: 1
     230: 1
     231: 1
     233: 1
     235: 1
     237: 1
     241: 1
     242: 1
     244: 1
     245: 1
     246: 1
     256: 1
     257: 1
     258: 1
     263: 1
     267: 1
     269: 1
     273: 1
     275: 1
     277: 1
     279: 1
     281: 1
     285: 1
     299: 1
     302: 1
     304: 1
     306: 1
     313: 1
     315: 1
     316: 1
     321: 1
     323: 1
     324: 1
     326: 1
     328: 1
     330: 1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: 1
     355: 1
     359: 1
     363: 1
     365: 1
     369: 1
     371: 1
     373: 1
     377: 1
     381: 1
     385: 1
     387: 1
     389: 1
     395: 1
     397: 1
     399: 1
     402: 1
     406: 1
     407: 1
     411: 1
     412: 1
     425: 1
     427: 1
     440: 1
     449: 1
     455: 1
     461: 1
     463: 1
     465: 1
     471: 1
     473: 1
     481: 1
     483: 1
     487: 1
     514: 1
     520: 1
     524: 1
     533: 1
     548: 1
     556: 1
     568: 1
     578: 1
     584: 1
     610: 1
     638: 1
     668: 1
     672: 1
     748: 1

749:   0: q+1
       1: q^2+1
       2: q+1
       3: q+1
       4: q+1
       6: q^2+1
       7: q^2+1
       8: q+1
      11: q^2+1
      12: q+1
      19: 1
      20: 1
      21: 1
      23: q+1
      24: q+1
      25: q^2+1
      27: q+1
      28: q^2+1
      30: q+1
      31: q+1
      32: q^2+1
      33: q+1
      35: q+1
      36: q^2+1
      37: q+1
      41: 1
      43: 1
      44: q+1
      46: 1
      47: q+1
      48: 1
      49: q
      50: 1
      51: q^2
      52: 1
      53: q
      60: 1
      61: 1
      62: 1
      64: q+1
      65: q^2+1
      66: q+1
      68: q+1
      69: q^2+1
      70: q+1
      72: q+1
      73: q^2+1
      74: q+1
      78: 1
      80: 1
      81: q
      83: 1
      86: q+1
      87: q+1
      88: 1
      89: q
      90: 1
      91: q^2
      92: 1
      93: q
      97: 1
      99: 1
     101: 1
     103: 1
     108: 1
     109: 1
     110: 1
     112: q+1
     113: q^2+1
     114: q+1
     116: q+1
     117: q^2+1
     118: q+1
     120: q+1
     121: q^2+1
     122: q+1
     124: 1
     125: q
     128: 1
     132: 1
     136: 1
     137: q
     138: 1
     139: q^2
     140: 1
     141: q
     145: 1
     146: 1
     147: 1
     149: 1
     151: q+1
     153: q+1
     155: 1
     158: q+1
     159: q+1
     161: 1
     162: 1
     163: q
     164: 1
     165: q^2
     166: 1
     167: q
     174: 1
     175: 1
     176: 1
     178: 1
     179: 1
     180: 1
     182: q+1
     183: q^2+1
     184: q+1
     186: 1
     190: 1
     191: q
     192: 1
     196: 1
     197: q
     198: 1
     199: q
     204: 1
     218: 1
     220: 1
     223: 1
     224: 1
     225: 1
     228: 1
     229: 1
     230: 1
     231: 1
     232: 1
     233: q
     234: 1
     235: q^2
     236: 1
     237: q
     241: q+1
     242: q+1
     244: q+1
     245: q^2+1
     246: q+1
     256: 1
     257: 1
     258: 1
     268: 1
     272: 1
     273: q
     274: 1
     276: 1
     277: q
     278: 1
     280: 1
     284: 1
     285: q
     299: 1
     301: 1
     302: q
     303: 1
     304: q^2
     305: 1
     306: q
     313: 1
     315: 1
     316: q+1
     321: 1
     323: 1
     324: q+1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: 1
     358: 1
     362: 1
     368: 1
     369: q
     370: 1
     376: 1
     377: q
     384: 1
     386: 1
     387: q
     388: 1
     389: q
     402: 1
     406: 1
     407: 1
     411: 1
     412: 1
     425: 1
     427: 1
     428: 1
     429: 1
     430: 1
     436: 1
     440: q
     460: 1
     470: 1
     480: 1
     486: 1
     497: 1
     509: 1
     514: 1
     515: 1
     520: 1
     524: 1
     547: 1
     575: 1
     583: 1
     600: 1
     604: 1
     610: 1
     639: 1
     671: 1
     693: 1
     749: 1

750:   0: q+1
       1: q^2+1
       2: q+1
       3: q+1
       4: q+1
       6: q^2+1
       7: q^2+1
       8: q+1
      11: q^2+1
      12: q+1
      19: 1
      20: 1
      21: 1
      23: q+1
      24: q+1
      25: q^2+1
      27: q+1
      28: q^2+1
      30: q+1
      31: q+1
      32: q^2+1
      33: q+1
      35: q+1
      36: q^2+1
      37: q+1
      41: 1
      43: 1
      44: q+1
      46: 1
      47: q+1
      48: q
      49: 1
      50: q^2
      51: 1
      52: q
      53: 1
      60: 1
      61: 1
      62: 1
      64: q+1
      65: q^2+1
      66: q+1
      68: q+1
      69: q^2+1
      70: q+1
      72: q+1
      73: q^2+1
      74: q+1
      79: 1
      80: q
      81: 1
      83: 1
      86: q+1
      87: q+1
      88: q
      89: 1
      90: q^2
      91: 1
      92: q
      93: 1
      97: 1
      99: 1
     101: 1
     103: 1
     108: 1
     109: 1
     110: 1
     112: q+1
     113: q^2+1
     114: q+1
     116: q+1
     117: q^2+1
     118: q+1
     120: q+1
     121: q^2+1
     122: q+1
     124: q
     125: 1
     129: 1
     133: 1
     136: q
     137: 1
     138: q^2
     139: 1
     140: q
     141: 1
     145: 1
     146: 1
     147: 1
     149: 1
     151: q+1
     153: q+1
     155: 1
     158: q+1
     159: q+1
     161: 1
     162: q
     163: 1
     164: q^2
     165: 1
     166: q
     167: 1
     174: 1
     175: 1
     176: 1
     178: 1
     179: 1
     180: 1
     182: q+1
     183: q^2+1
     184: q+1
     187: 1
     190: q
     191: 1
     193: 1
     196: q
     197: 1
     198: q
     199: 1
     205: 1
     218: 1
     220: 1
     223: 1
     224: 1
     225: 1
     228: 1
     229: 1
     230: 1
     231: 1
     232: q
     233: 1
     234: q^2
     235: 1
     236: q
     237: 1
     241: q+1
     242: q+1
     244: q+1
     245: q^2+1
     246: q+1
     256: 1
     257: 1
     258: 1
     269: 1
     272: q
     273: 1
     275: 1
     276: q
     277: 1
     279: 1
     281: 1
     284: q
     285: 1
     299: 1
     301: q
     302: 1
     303: q^2
     304: 1
     305: q
     306: 1
     313: 1
     315: 1
     316: q+1
     321: 1
     323: 1
     324: q+1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: 1
     359: 1
     363: 1
     368: q
     369: 1
     371: 1
     376: q
     377: 1
     385: 1
     386: q
     387: 1
     388: q
     389: 1
     402: 1
     406: 1
     407: 1
     411: 1
     412: 1
     425: 1
     427: 1
     428: 1
     429: 1
     430: 1
     436: q
     440: 1
     461: 1
     471: 1
     481: 1
     487: 1
     497: 1
     509: 1
     514: 1
     515: 1
     520: 1
     524: 1
     548: 1
     576: 1
     584: 1
     600: 1
     604: 1
     610: 1
     640: 1
     672: 1
     693: 1
     750: 1

751:   0: 2q+2
       1: 2q+2
       2: 2q+2
       3: 2q+2
       4: 2
       5: 2q^3+q+2
       6: 2q+2
       7: 2
       8: 2
       9: 2q^3+q+2
      10: 2q^3+2
      11: 2q+2
      12: 2
      13: 2q^3+q+2
      14: 2q^3+q+2
      15: q+2
      16: q+2
      17: 2
      18: q+2
      19: 2q+2
      20: 2q+2
      21: 2
      22: 2q^3+q+2
      23: 2q+2
      24: 2
      25: 2q+2
      26: 2q^3+q+2
      27: 2q+2
      28: 2q+2
      29: 2q^3+q+2
      30: 2
      31: 2
      32: 2
      33: 2
      34: q^3+2
      35: 2
      36: 2
      37: 2
      38: q^3+2
      39: q+2
      40: q+2
      41: 2q+2
      42: 2
      43: 2
      44: 2
      45: 2
      46: 2
      47: 2
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: q+2
      57: q+2
      58: 2
      59: q+2
      60: 2q+2
      61: 2
      62: 2q+2
      63: 2q^3+q+2
      64: 2q+2
      65: 2q+2
      66: 2
      67: 2q^3+q+2
      68: 2
      69: 2
      70: 2
      71: q^3+2
      72: 2
      73: 2
      74: 2
      75: q^3+2
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: 1
      82: q+2
      83: 2q+2
      84: q+2
      85: q+2
      86: 2
      87: 2
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 2
      97: 2
      98: 2
      99: 2
     100: 2
     101: 2
     102: 2
     103: 2
     104: q+2
     105: 2
     106: q+2
     107: q+2
     108: 2q+2
     109: 2q+2
     110: 2
     111: 2q^3+q+2
     112: 2
     113: 2
     114: 2
     115: q^3+2
     116: 2
     117: 2
     118: 2
     119: q^3+2
     120: 2
     121: 2
     123: 2
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 1
     134: q+2
     135: q+2
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: 1
     144: q+2
     145: 2q+2
     146: 2
     147: 2
     148: 2
     149: 2
     150: 2
     152: 2
     153: 2
     154: 2
     155: 2
     156: 2
     157: 2
     158: 2
     160: 2
     161: 2
     162: 1
     163: 1
     164: 1
     165: 1
     168: 1
     169: 1
     170: q+2
     171: q+2
     172: 2
     173: q+2
     174: 2
     175: 2
     176: 2
     177: q^3+2
     178: 2
     179: 2
     180: 2
     181: q^3+2
     182: 2
     183: 2
     185: 2
     186: 1
     187: 1
     188: 1
     189: 1
     190: 1
     191: 1
     192: 1
     193: 1
     194: 1
     195: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     206: 1
     207: 1
     208: 1
     209: 1
     210: 1
     211: 1
     212: 1
     213: 1
     214: q+2
     215: q+2
     216: q+2
     217: 2
     218: 2
     219: 2
     220: 2
     221: 2
     222: 2
     223: 2
     225: 2
     226: 2
     227: 2
     228: 2
     229: 2
     231: 2
     232: 1
     233: 1
     234: 1
     235: 1
     238: 1
     239: 1
     240: 2
     243: 2
     244: 2
     245: 2
     247: 2
     248: 1
     249: 1
     250: 1
     251: 1
     252: 1
     253: 1
     254: 1
     255: 1
     256: 2
     257: 2
     259: 2
     260: 1
     261: 1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     267: 1
     268: 1
     269: 1
     270: 1
     271: 1
     280: 1
     281: 1
     282: 1
     283: 1
     286: 1
     287: 1
     296: q+2
     297: 2
     298: 2
     299: 2
     300: 2
     301: 1
     302: 1
     303: 1
     304: 1
     307: 1
     308: 1
     309: 2
     310: 1
     311: 1
     314: 1
     315: 2
     317: 2
     318: 1
     319: 1
     320: 1
     321: 2
     325: 1
     326: 1
     327: 1
     328: 1
     331: 1
     332: 1
     333: 2
     334: 2
     335: 2
     338: 2
     339: 2
     341: 2
     342: 1
     343: 1
     345: 1
     350: 1
     351: 1
     354: 1
     355: 1
     356: 1
     357: 1
     358: 1
     359: 1
     360: 1
     361: 1
     378: 1
     379: 1
     380: 1
     381: 1
     382: 1
     383: 1
     390: 2
     391: 2
     392: 2
     393: 2
     394: 1
     395: 1
     396: 1
     397: 1
     400: 1
     401: 1
     402: 2
     403: 1
     405: 1
     408: 1
     409: 1
     421: 2
     422: 1
     423: 1
     428: 2
     429: 2
     431: 2
     432: 1
     433: 1
     435: 1
     444: 1
     445: 1
     448: 1
     449: 1
     450: 1
     451: 1
     452: 1
     453: 1
     478: 1
     479: 1
     488: 2
     489: 1
     490: 1
     491: 1
     492: 1
     495: 1
     496: 1
     497: 2
     498: 2
     507: 1
     508: 1
     511: 1
     516: 1
     521: 1
     525: 1
     526: 1
     528: 1
     535: 1
     536: 1
     539: 1
     540: 1
     541: 1
     542: 1
     595: 1
     596: 2
     597: 1
     598: 1
     611: 1
     612: 1
     614: 1
     629: 1
     630: 1
     681: 1
     682: 1
     683: 1
     751: 1

752:   0: 2q+2
       1: q^2+q+2
       2: 2q+2
       3: 2q+2
       4: 2q+2
       5: q^2+q+2
       6: q^2+q+2
       7: q^2+q+2
       8: 2q+2
       9: q^2+q+2
      10: q^2+q+2
      11: q^2+q+2
      12: 2q+2
      13: q^2+q+2
      14: q^3+q^2+q+1
      15: q^2+q+2
      16: q^2+q+2
      17: q^2+q+2
      18: q^2+q+2
      19: q+2
      20: q+2
      21: q+2
      22: q^2+q+1
      23: 2q+2
      24: 2q+2
      25: q^2+q+2
      26: q^2+q+2
      27: 2q+2
      28: q^2+q+2
      29: q^2+q+2
      30: 2q+2
      31: 2q+2
      32: q^2+q+2
      33: 2q+2
      34: q^2+q+2
      35: 2
      36: 2
      37: 2
      38: 2
      39: q^2+q+2
      40: q^2+q+2
      41: q+2
      42: q^2+q+2
      43: q+2
      44: 2q+2
      45: 2
      46: 2
      47: 2
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: q+2
      57: q+2
      58: q+2
      59: q^2+q+1
      60: q+2
      61: q+2
      62: q+2
      63: q^2+q+1
      64: 2q+2
      65: q^2+q+2
      66: 2q+2
      67: q^2+q+2
      68: 2q+2
      69: q^2+q+2
      70: 2q+2
      71: q^2+q+2
      72: 2
      73: 2
      74: 2
      75: 2
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: 1
      82: q+1
      83: q+2
      84: q+2
      85: q^2+q+2
      86: 2
      87: 2q+2
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: q+2
      97: q+2
      98: q^2+q+2
      99: q+2
     100: 2
     101: 2
     102: 2
     103: 2
     104: q+2
     105: q+2
     106: q+2
     107: q^2+q+1
     108: q+2
     109: q+2
     110: q+2
     111: q^2+q+1
     112: 2q+2
     113: q^2+q+2
     114: 2q+2
     115: q^2+q+2
     116: 2
     117: 2
     118: 2
     119: 2
     120: 2
     121: 2
     122: 2
     123: 2
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 1
     134: q+1
     135: q+2
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: 1
     144: q+1
     145: q+2
     146: 2
     147: q+2
     148: q+2
     149: q+2
     150: q^2+q+2
     151: 2
     152: q+2
     153: 2q+2
     154: 2
     155: 2
     156: 2
     157: 2
     158: 2
     160: 2
     161: 2
     162: 1
     163: 1
     164: 1
     165: 1
     166: 1
     167: 1
     168: 1
     169: 1
     170: q+2
     171: q+2
     172: q+2
     173: q^2+q+1
     174: q+2
     175: q+2
     176: q+2
     177: q^2+q+1
     178: 1
     179: 1
     180: 1
     181: 1
     182: 2
     183: 2
     184: 2
     185: 2
     186: 1
     187: 1
     188: 1
     189: 1
     190: 1
     191: 1
     192: 1
     193: 1
     194: 1
     195: 1
     196: 1
     197: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     214: q+1
     215: q+1
     216: q+2
     217: 2
     218: 2
     219: q+2
     220: q+2
     221: q+2
     222: q+1
     223: q+2
     224: 2
     225: q+2
     226: 2
     227: 1
     228: 1
     229: 1
     231: 2
     232: 1
     233: 1
     234: 1
     235: 1
     236: 1
     237: 1
     238: 1
     239: 1
     240: 2
     241: 2
     243: 2
     244: 2
     245: 2
     246: 2
     247: 2
     248: q+2
     249: q+2
     250: q+2
     251: q^2+q+1
     252: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     258: 1
     259: 1
     264: 1
     265: 1
     268: 1
     269: 1
     270: 1
     271: 1
     272: 1
     273: 1
     274: 1
     275: 1
     280: 1
     281: 1
     282: 1
     283: 1
     286: 1
     287: 1
     296: q+1
     297: 2
     298: q+2
     299: 2
     300: 2
     301: 1
     302: 1
     303: 1
     304: 1
     305: 1
     306: 1
     307: 1
     308: 1
     309: q+1
     310: q+1
     311: q+2
     312: 2
     313: 2
     314: q+2
     315: q+2
     316: 2
     317: 1
     318: 1
     319: 1
     320: 1
     321: 1
     333: 2
     334: 1
     335: 1
     336: 1
     338: 1
     339: 1
     340: 1
     341: 1
     342: 1
     343: 1
     344: 1
     345: 1
     356: 1
     357: 1
     358: 1
     359: 1
     360: 1
     361: 1
     362: 1
     363: 1
     366: 1
     367: 1
     368: 1
     369: 1
     382: 1
     383: 1
     390: 1
     391: q+1
     392: 2
     393: 1
     402: 1
     403: q+1
     404: 2
     405: q+2
     406: 2
     407: 1
     408: 1
     409: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     428: 1
     429: 1
     430: 1
     431: 1
     432: 1
     433: 1
     434: 1
     435: 1
     450: 1
     451: 1
     456: 1
     457: 1
     460: 1
     461: 1
     488: 1
     497: 1
     498: 1
     507: 1
     508: 1
     509: 1
     510: 1
     511: q+1
     512: 2
     513: 1
     514: 1
     516: 1
     521: 1
     522: 1
     525: 1
     526: 1
     527: 1
     528: 1
     557: 1
     558: 1
     595: 1
     596: 1
     597: 1
     598: 1
     599: 1
     600: 1
     601: 1
     602: 1
     607: 1
     683: 1
     685: 1
     686: 1
     687: 1
     752: 1

753:   0: 4q^2+6q+2
       1: 4q^2+6q+2
       2: 2q^3+6q^2+6q+2
       3: 4q^2+6q+2
       4: 4q^2+6q+2
       5: q^3+2q^2+3q+2
       6: 4q^2+6q+2
       7: 4q^2+6q+2
       8: 2q^3+6q^2+6q+2
       9: q^3+2q^2+3q+2
      10: q^3+2q^2+3q+2
      11: q^3+2q^2+3q+2
      12: 2q^3+6q^2+6q+2
      13: q^2+q+2
      14: q^2+q+2
      15: 2q^2+3q+2
      16: 2q^2+3q+2
      17: 2q^2+3q+2
      18: q^2+q+2
      19: 4q^2+6q+2
      20: 4q^2+6q+2
      21: 4q^2+6q+2
      22: q^2+q+2
      23: 3q^2+6q+2
      24: 3q^2+6q+2
      25: 2q^2+3q+2
      26: q^2+q+2
      27: 4q^2+6q+2
      28: 4q^2+6q+2
      29: q^3+2q^2+3q+2
      30: 2q^3+6q^2+6q+2
      31: 4q^2+6q+2
      32: 4q^2+6q+2
      33: 2q^3+6q^2+6q+2
      34: q^3+2q^2+3q+2
      35: 4q+2
      36: 4q+2
      37: 2q^2+4q+2
      38: 2q+2
      39: q^2+q+2
      40: 2q^2+3q+2
      41: 4q^2+6q+2
      42: 2q^2+3q+2
      43: 4q^2+6q+2
      44: 3q^2+6q+2
      45: 2q+2
      46: 4q+2
      47: 4q+2
      48: 2q+1
      49: 2q+1
      50: 2q+1
      51: 2q+1
      52: q^2+2q+1
      53: q^2+2q+1
      54: q+1
      55: q+1
      56: 2q^2+3q+2
      57: 2q^2+3q+2
      58: 2q^2+3q+2
      59: q^2+q+2
      60: 3q^2+6q+2
      61: 3q^2+6q+2
      62: 2q^2+3q+2
      63: q^2+q+2
      64: 3q^2+6q+2
      65: 2q^2+3q+2
      66: 3q^2+6q+2
      67: q^2+q+2
      68: 4q^2+6q+2
      69: 4q^2+6q+2
      70: 2q^3+6q^2+6q+2
      71: q^3+2q^2+3q+2
      72: 4q+2
      73: 4q+2
      74: 2q^2+4q+2
      75: 2q+2
      76: q+1
      77: q+1
      78: 2q+1
      79: 2q+1
      80: 2q+1
      81: 2q+1
      82: q^2+q+2
      83: q^2+3q+2
      84: 2q^2+3q+2
      85: q^2+q+2
      86: 4q+2
      87: 3q^2+6q+2
      88: 2q+1
      89: 2q+1
      90: 2q+1
      91: 2q+1
      92: q^2+2q+1
      93: q^2+2q+1
      94: q+1
      95: q+1
      96: 2q^2+3q+2
      97: 3q^2+6q+2
      98: 2q^2+3q+2
      99: 4q^2+6q+2
     100: 2q+2
     101: 4q+2
     102: 2q+2
     103: 4q+2
     104: q^2+3q+2
     105: q^2+3q+2
     106: q+2
     107: q+2
     108: 3q^2+6q+2
     109: 2q^2+3q+2
     110: 3q^2+6q+2
     111: q^2+q+2
     112: 3q^2+6q+2
     113: 2q^2+3q+2
     114: 3q^2+6q+2
     115: q^2+q+2
     116: 3q+2
     117: q+2
     118: 3q+2
     119: 2
     120: 4q+2
     121: 4q+2
     122: 2q^2+4q+2
     123: 2q+2
     124: 2q+1
     125: 2q+1
     126: q+1
     127: q+1
     128: 2q+1
     129: 2q+1
     130: q+1
     131: q+1
     132: 2q+1
     133: 2q+1
     134: q+2
     135: q+2
     136: q+1
     137: q+1
     138: 1
     139: 1
     140: q+1
     141: q+1
     142: 1
     143: 1
     144: q^2+q+2
     145: q^2+3q+2
     146: 4q+2
     147: 3q^2+6q+2
     148: q^2+3q+2
     149: q^2+3q+2
     150: q^2+q+2
     151: 4q+2
     152: 2q^2+3q+2
     153: 3q^2+6q+2
     154: 2q+2
     155: q+2
     156: 2
     157: 2q+2
     158: 3q+2
     160: 2q+2
     161: 4q+2
     162: 2q+1
     163: 2q+1
     164: 2q+1
     165: 2q+1
     166: q^2+2q+1
     167: q^2+2q+1
     168: q+1
     169: q+1
     170: q^2+3q+2
     171: q+2
     172: q^2+3q+2
     173: q+2
     174: 3q^2+6q+2
     175: 2q^2+3q+2
     176: 3q^2+6q+2
     177: q^2+q+2
     178: 3q+2
     179: q+2
     180: 3q+2
     181: 2
     182: 3q+2
     183: q+2
     184: 3q+2
     185: 2
     186: 1
     187: 1
     188: 1
     189: 1
     190: q+1
     191: q+1
     192: 2q+1
     193: 2q+1
     194: q+1
     195: q+1
     196: 2q+1
     197: 2q+1
     200: q+1
     201: q+1
     202: q+1
     203: q+1
     204: 2q+1
     205: 2q+1
     206: q+1
     207: q+1
     208: 1
     209: 1
     210: q+1
     211: q+1
     212: 1
     213: 1
     214: q+2
     215: q+2
     216: q+2
     217: 2q+2
     218: q+2
     219: q^2+3q+2
     220: q^2+3q+2
     221: q+2
     222: q^2+q+2
     223: q^2+3q+2
     224: 4q+2
     225: 3q^2+6q+2
     226: 2
     227: 2
     228: q+2
     229: 3q+2
     231: q+2
     232: q+1
     233: q+1
     234: 1
     235: 1
     236: q+1
     237: q+1
     238: 1
     239: 1
     240: 2
     241: 3q+2
     243: 2q+2
     244: 3q+2
     245: q+2
     246: 3q+2
     247: 2
     248: q^2+3q+2
     249: q+2
     250: q^2+3q+2
     251: q+2
     252: q+1
     253: 1
     254: q+1
     255: 1
     256: 3q+2
     257: q+2
     258: 3q+2
     259: 2
     260: 1
     261: 1
     262: 1
     263: 1
     264: 1
     265: 1
     266: q+1
     267: q+1
     268: 1
     269: 1
     270: q+1
     271: q+1
     272: q+1
     273: q+1
     274: 2q+1
     275: 2q+1
     280: 1
     281: 1
     282: 1
     283: 1
     286: q+1
     287: q+1
     296: q+2
     297: 2
     298: q+2
     299: q+2
     300: 2
     301: q+1
     302: q+1
     303: 1
     304: 1
     305: q+1
     306: q+1
     307: 1
     308: 1
     309: q+2
     310: q+2
     311: q+2
     312: 2q+2
     313: q+2
     314: q^2+3q+2
     315: q^2+3q+2
     316: 3q+2
     317: 2
     318: 1
     319: 1
     320: q+1
     321: q+2
     325: q+1
     326: q+1
     327: 1
     328: 1
     329: q+1
     330: q+1
     331: 1
     332: 1
     333: 2
     334: 2
     335: q+2
     336: 3q+2
     338: 3q+2
     339: q+2
     340: 3q+2
     341: 2
     342: q+1
     343: 1
     344: q+1
     345: 1
     350: 1
     351: 1
     354: 1
     355: 1
     356: 1
     357: 1
     358: 1
     359: 1
     360: 1
     361: 1
     362: 1
     363: 1
     364: q+1
     365: q+1
     366: q+1
     367: q+1
     368: q+1
     369: q+1
     378: 1
     379: 1
     380: 1
     381: 1
     382: 1
     383: 1
     390: 2
     391: q+2
     392: 2
     393: 2
     394: q+1
     395: q+1
     396: 1
     397: 1
     398: q+1
     399: q+1
     400: 1
     401: 1
     402: q+2
     403: q+2
     404: 2
     405: q+2
     406: q+2
     407: 3q+2
     408: 1
     409: 1
     421: 2
     422: 1
     423: 1
     424: q+1
     425: q+2
     428: 2
     429: 2
     430: 2
     432: q+1
     433: 1
     434: q+1
     435: 1
     444: 1
     445: 1
     448: 1
     449: 1
     450: 1
     451: 1
     452: 1
     453: 1
     454: 1
     455: 1
     456: 1
     457: 1
     460: 1
     461: 1
     462: q+1
     463: q+1
     478: 1
     479: 1
     489: 1
     490: 1
     491: 1
     492: 1
     493: 1
     494: 1
     497: 2
     498: 2
     507: 1
     508: 1
     509: 2
     510: 2
     511: q+2
     512: 2
     513: q+1
     514: q+2
     516: 1
     521: 1
     522: 1
     525: 1
     526: 1
     527: 1
     539: 1
     540: 1
     541: 1
     542: 1
     549: 1
     550: 1
     551: 1
     552: 1
     555: 1
     556: 1
     557: 1
     558: 1
     597: 1
     598: 1
     599: 1
     600: 2
     601: 2
     602: 1
     607: 1
     611: 1
     612: 1
     613: 1
     645: 1
     646: 1
     647: 1
     648: 1
     682: 1
     684: 1
     686: 1
     687: 1
     753: 1

754:   0: 2q+2
       1: q^2+q+2
       2: 2q+2
       3: 2q+2
       4: 2q+2
       5: q^2+q+2
       6: q^2+q+2
       7: q^2+q+2
       8: 2q+2
       9: q^2+q+2
      10: q^2+q+2
      11: q^2+q+2
      12: 2q+2
      13: q^2+q+2
      14: q^3+q^2+q+1
      15: q^2+q+2
      16: q^2+q+2
      17: q^2+q+2
      18: q^2+q+2
      19: q+2
      20: q+2
      21: q+2
      22: q^2+q+1
      23: 2q+2
      24: 2q+2
      25: q^2+q+2
      26: q^2+q+2
      27: 2q+2
      28: q^2+q+2
      29: q^2+q+2
      30: 2q+2
      31: 2
      32: 2
      33: 2
      34: 2
      35: 2q+2
      36: q^2+q+2
      37: 2q+2
      38: q^2+q+2
      39: q^2+q+2
      40: q^2+q+2
      41: q+2
      42: 2
      43: 2
      44: 2
      45: q^2+q+2
      46: q+2
      47: 2q+2
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: q+2
      57: q+2
      58: q+2
      59: q^2+q+1
      60: q+2
      61: q+2
      62: q+2
      63: q^2+q+1
      64: 2q+2
      65: q^2+q+2
      66: 2q+2
      67: q^2+q+2
      68: 2
      69: 2
      70: 2
      71: 2
      72: 2q+2
      73: q^2+q+2
      74: 2q+2
      75: q^2+q+2
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: 1
      82: q+1
      83: q+2
      84: q+2
      85: q^2+q+2
      86: 2q+2
      87: 2
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 2
      97: 2
      98: 2
      99: 2
     100: q+2
     101: q+2
     102: q^2+q+2
     103: q+2
     104: q+2
     105: q+2
     106: q+2
     107: q^2+q+1
     108: q+2
     109: q+2
     110: q+2
     111: q^2+q+1
     112: 2
     113: 2
     114: 2
     115: 2
     116: 2q+2
     117: q^2+q+2
     118: 2q+2
     119: q^2+q+2
     120: 2
     121: 2
     122: 2
     123: 2
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 1
     134: q+1
     135: q+2
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: 1
     144: q+1
     145: q+2
     146: q+2
     147: 2
     148: 2
     149: 2
     150: 2
     152: 2
     153: 2
     154: q+2
     155: q+2
     156: q^2+q+2
     157: q+2
     158: 2q+2
     159: 2
     160: 2
     161: 2
     162: 1
     163: 1
     164: 1
     165: 1
     166: 1
     167: 1
     168: 1
     169: 1
     170: q+2
     171: q+2
     172: q+2
     173: q^2+q+1
     174: 1
     175: 1
     176: 1
     177: 1
     178: q+2
     179: q+2
     180: q+2
     181: q^2+q+1
     182: 2
     183: 2
     184: 2
     185: 2
     186: 1
     187: 1
     188: 1
     189: 1
     190: 1
     191: 1
     192: 1
     193: 1
     194: 1
     195: 1
     198: 1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     214: q+1
     215: q+1
     216: q+2
     217: q+2
     218: q+2
     219: 2
     220: 2
     221: 2
     222: 1
     223: 1
     225: 1
     226: q+2
     227: q+1
     228: q+2
     229: q+2
     230: 2
     231: 2
     232: 1
     233: 1
     234: 1
     235: 1
     236: 1
     237: 1
     238: 1
     239: 1
     240: 2
     242: 2
     243: 2
     244: 2
     245: 2
     246: 2
     247: 2
     248: 1
     249: 1
     250: 1
     251: 1
     252: q+2
     253: q+2
     254: q+2
     255: q^2+q+1
     256: 1
     257: 1
     258: 1
     259: 1
     264: 1
     265: 1
     268: 1
     269: 1
     270: 1
     271: 1
     276: 1
     277: 1
     278: 1
     279: 1
     280: 1
     281: 1
     282: 1
     283: 1
     286: 1
     287: 1
     296: q+1
     297: q+2
     298: 2
     299: 2
     300: 2
     301: 1
     302: 1
     303: 1
     304: 1
     305: 1
     306: 1
     307: 1
     308: 1
     309: 1
     310: 1
     311: 1
     314: 1
     315: 1
     317: q+1
     318: q+1
     319: q+2
     320: q+2
     321: q+2
     322: 2
     323: 2
     324: 2
     333: 2
     334: 1
     335: 1
     337: 1
     338: 1
     339: 1
     340: 1
     341: 1
     342: 1
     343: 1
     344: 1
     345: 1
     356: 1
     357: 1
     358: 1
     359: 1
     360: 1
     361: 1
     370: 1
     371: 1
     374: 1
     375: 1
     376: 1
     377: 1
     382: 1
     383: 1
     390: q+1
     391: 1
     392: 2
     393: 1
     402: 1
     403: 1
     405: 1
     408: q+1
     409: q+2
     410: 2
     411: 2
     412: 1
     421: 1
     422: 1
     423: 1
     426: 1
     427: 1
     428: 1
     429: 1
     430: 1
     431: 1
     432: 1
     433: 1
     434: 1
     435: 1
     450: 1
     451: 1
     466: 1
     467: 1
     470: 1
     471: 1
     488: 1
     497: 1
     498: 1
     507: 1
     508: 1
     511: 1
     515: 1
     516: q+1
     517: 1
     518: 2
     519: 1
     520: 1
     521: 1
     523: 1
     525: 1
     526: 1
     527: 1
     528: 1
     569: 1
     570: 1
     595: 1
     596: 1
     597: 1
     598: 1
     603: 1
     604: 1
     605: 1
     606: 1
     608: 1
     683: 1
     689: 1
     690: 1
     691: 1
     754: 1

755:   0: 4q^2+6q+2
       1: 4q^2+6q+2
       2: 2q^3+6q^2+6q+2
       3: 4q^2+6q+2
       4: 4q^2+6q+2
       5: q^3+2q^2+3q+2
       6: 4q^2+6q+2
       7: 4q^2+6q+2
       8: 2q^3+6q^2+6q+2
       9: q^3+2q^2+3q+2
      10: q^3+2q^2+3q+2
      11: q^3+2q^2+3q+2
      12: 2q^3+6q^2+6q+2
      13: q^2+q+2
      14: q^2+q+2
      15: 2q^2+3q+2
      16: 2q^2+3q+2
      17: 2q^2+3q+2
      18: q^2+q+2
      19: 4q^2+6q+2
      20: 4q^2+6q+2
      21: 4q^2+6q+2
      22: q^2+q+2
      23: 3q^2+6q+2
      24: 3q^2+6q+2
      25: 2q^2+3q+2
      26: q^2+q+2
      27: 4q^2+6q+2
      28: 4q^2+6q+2
      29: q^3+2q^2+3q+2
      30: 2q^3+6q^2+6q+2
      31: 4q+2
      32: 4q+2
      33: 2q^2+4q+2
      34: 2q+2
      35: 4q^2+6q+2
      36: 4q^2+6q+2
      37: 2q^3+6q^2+6q+2
      38: q^3+2q^2+3q+2
      39: q^2+q+2
      40: 2q^2+3q+2
      41: 4q^2+6q+2
      42: 2q+2
      43: 4q+2
      44: 4q+2
      45: 2q^2+3q+2
      46: 4q^2+6q+2
      47: 3q^2+6q+2
      48: 2q+1
      49: 2q+1
      50: 2q+1
      51: 2q+1
      52: q^2+2q+1
      53: q^2+2q+1
      54: q+1
      55: q+1
      56: 2q^2+3q+2
      57: 2q^2+3q+2
      58: 2q^2+3q+2
      59: q^2+q+2
      60: 3q^2+6q+2
      61: 3q^2+6q+2
      62: 2q^2+3q+2
      63: q^2+q+2
      64: 3q^2+6q+2
      65: 2q^2+3q+2
      66: 3q^2+6q+2
      67: q^2+q+2
      68: 4q+2
      69: 4q+2
      70: 2q^2+4q+2
      71: 2q+2
      72: 4q^2+6q+2
      73: 4q^2+6q+2
      74: 2q^3+6q^2+6q+2
      75: q^3+2q^2+3q+2
      76: q+1
      77: q+1
      78: 2q+1
      79: 2q+1
      80: 2q+1
      81: 2q+1
      82: q^2+q+2
      83: q^2+3q+2
      84: 2q^2+3q+2
      85: q^2+q+2
      86: 3q^2+6q+2
      87: 4q+2
      88: 2q+1
      89: 2q+1
      90: 2q+1
      91: 2q+1
      92: q^2+2q+1
      93: q^2+2q+1
      94: q+1
      95: q+1
      96: 2q+2
      97: 4q+2
      98: 2q+2
      99: 4q+2
     100: 2q^2+3q+2
     101: 3q^2+6q+2
     102: 2q^2+3q+2
     103: 4q^2+6q+2
     104: q^2+3q+2
     105: q^2+3q+2
     106: q+2
     107: q+2
     108: 3q^2+6q+2
     109: 2q^2+3q+2
     110: 3q^2+6q+2
     111: q^2+q+2
     112: 3q+2
     113: q+2
     114: 3q+2
     115: 2
     116: 3q^2+6q+2
     117: 2q^2+3q+2
     118: 3q^2+6q+2
     119: q^2+q+2
     120: 4q+2
     121: 4q+2
     122: 2q^2+4q+2
     123: 2q+2
     124: 2q+1
     125: 2q+1
     126: q+1
     127: q+1
     128: 2q+1
     129: 2q+1
     130: q+1
     131: q+1
     132: 2q+1
     133: 2q+1
     134: q+2
     135: q+2
     136: q+1
     137: q+1
     138: 1
     139: 1
     140: q+1
     141: q+1
     142: 1
     143: 1
     144: q^2+q+2
     145: q^2+3q+2
     146: 3q^2+6q+2
     147: 4q+2
     148: 2q+2
     149: q+2
     150: 2
     152: 2q+2
     153: 3q+2
     154: q^2+3q+2
     155: q^2+3q+2
     156: q^2+q+2
     157: 2q^2+3q+2
     158: 3q^2+6q+2
     159: 4q+2
     160: 2q+2
     161: 4q+2
     162: 2q+1
     163: 2q+1
     164: 2q+1
     165: 2q+1
     166: q^2+2q+1
     167: q^2+2q+1
     168: q+1
     169: q+1
     170: q^2+3q+2
     171: q+2
     172: q^2+3q+2
     173: q+2
     174: 3q+2
     175: q+2
     176: 3q+2
     177: 2
     178: 3q^2+6q+2
     179: 2q^2+3q+2
     180: 3q^2+6q+2
     181: q^2+q+2
     182: 3q+2
     183: q+2
     184: 3q+2
     185: 2
     186: 1
     187: 1
     188: 1
     189: 1
     190: q+1
     191: q+1
     192: 2q+1
     193: 2q+1
     194: q+1
     195: q+1
     198: 2q+1
     199: 2q+1
     200: q+1
     201: q+1
     202: q+1
     203: q+1
     204: 2q+1
     205: 2q+1
     206: q+1
     207: q+1
     208: 1
     209: 1
     210: q+1
     211: q+1
     212: 1
     213: 1
     214: q+2
     215: q+2
     216: q+2
     217: q^2+3q+2
     218: q^2+3q+2
     219: 2q+2
     220: q+2
     221: 2
     222: 2
     223: q+2
     225: 3q+2
     226: q+2
     227: q^2+q+2
     228: q^2+3q+2
     229: 3q^2+6q+2
     230: 4q+2
     231: q+2
     232: q+1
     233: q+1
     234: 1
     235: 1
     236: q+1
     237: q+1
     238: 1
     239: 1
     240: 2
     242: 3q+2
     243: 2q+2
     244: 3q+2
     245: q+2
     246: 3q+2
     247: 2
     248: q+1
     249: 1
     250: q+1
     251: 1
     252: q^2+3q+2
     253: q+2
     254: q^2+3q+2
     255: q+2
     256: 3q+2
     257: q+2
     258: 3q+2
     259: 2
     260: 1
     261: 1
     262: 1
     263: 1
     264: 1
     265: 1
     266: q+1
     267: q+1
     268: 1
     269: 1
     270: q+1
     271: q+1
     276: q+1
     277: q+1
     278: 2q+1
     279: 2q+1
     280: 1
     281: 1
     282: 1
     283: 1
     286: q+1
     287: q+1
     296: q+2
     297: q+2
     298: 2
     299: q+2
     300: 2
     301: q+1
     302: q+1
     303: 1
     304: 1
     305: q+1
     306: q+1
     307: 1
     308: 1
     309: 2
     310: 1
     311: 1
     314: q+1
     315: q+2
     317: q+2
     318: q+2
     319: q+2
     320: q^2+3q+2
     321: q^2+3q+2
     322: 2q+2
     323: q+2
     324: 3q+2
     325: q+1
     326: q+1
     327: 1
     328: 1
     329: q+1
     330: q+1
     331: 1
     332: 1
     333: 2
     334: 2
     335: q+2
     337: 3q+2
     338: 3q+2
     339: q+2
     340: 3q+2
     341: 2
     342: q+1
     343: 1
     344: q+1
     345: 1
     350: 1
     351: 1
     354: 1
     355: 1
     356: 1
     357: 1
     358: 1
     359: 1
     360: 1
     361: 1
     370: 1
     371: 1
     372: q+1
     373: q+1
     374: q+1
     375: q+1
     376: q+1
     377: q+1
     378: 1
     379: 1
     380: 1
     381: 1
     382: 1
     383: 1
     390: q+2
     391: 2
     392: 2
     393: 2
     394: q+1
     395: q+1
     396: 1
     397: 1
     398: q+1
     399: q+1
     400: 1
     401: 1
     402: q+2
     403: 1
     405: 1
     408: q+2
     409: q+2
     410: 2
     411: q+2
     412: 3q+2
     421: 2
     422: 1
     423: 1
     426: q+1
     427: q+2
     428: 2
     429: 2
     430: 2
     432: q+1
     433: 1
     434: q+1
     435: 1
     444: 1
     445: 1
     448: 1
     449: 1
     450: 1
     451: 1
     452: 1
     453: 1
     464: 1
     465: 1
     466: 1
     467: 1
     470: 1
     471: 1
     472: q+1
     473: q+1
     478: 1
     479: 1
     489: 1
     490: 1
     491: 1
     492: 1
     493: 1
     494: 1
     497: 2
     498: 2
     507: 1
     508: 1
     511: 1
     515: 2
     516: q+2
     517: 2
     518: 2
     519: q+1
     520: q+2
     521: 1
     523: 1
     525: 1
     526: 1
     527: 1
     539: 1
     540: 1
     541: 1
     542: 1
     561: 1
     562: 1
     563: 1
     564: 1
     567: 1
     568: 1
     569: 1
     570: 1
     597: 1
     598: 1
     603: 1
     604: 2
     605: 2
     606: 1
     608: 1
     611: 1
     612: 1
     613: 1
     655: 1
     656: 1
     657: 1
     658: 1
     682: 1
     688: 1
     690: 1
     691: 1
     755: 1

756:   0: 6q+2
       1: 2q^3+2q^2+4q+2
       2: 6q+2
       3: 2q^2+4q+2
       4: 6q+2
       5: 2q^3+2q^2+2q+2
       6: q^4+2q^3+2q^2+3q+2
       7: 2q^3+2q^2+4q+2
       8: 6q+2
       9: q^4+2q^3+q^2+2q+2
      10: 2q^3+2q^2+2q+2
      11: q^4+2q^3+2q^2+3q+2
      12: 2q^2+4q+2
      13: q^4+2q^3+q^2+2q+2
      14: q^4+2q^3+q^2+q+1
      15: 2q^2+2q+2
      16: q^3+q^2+2q+2
      17: 2q^2+2q+2
      18: q^3+q^2+2q+2
      19: 4q+2
      20: q^2+3q+2
      21: 4q+2
      22: q^3+q^2+q+1
      23: 6q+2
      24: 6q+2
      25: q^4+2q^3+2q^2+3q+2
      26: q^4+2q^3+q^2+2q+2
      27: 4q+2
      28: q^3+q^2+3q+2
      29: q^3+q^2+2q+2
      30: 4q+2
      31: 6q+2
      32: 2q^3+2q^2+4q+2
      33: 6q+2
      34: 2q^3+2q^2+2q+2
      35: 6q+2
      36: 2q^3+2q^2+4q+2
      37: 6q+2
      38: 2q^3+2q^2+2q+2
      39: q^3+q^2+2q+2
      40: q^2+2q+2
      41: 3q+2
      42: 2q^2+2q+2
      43: 4q+2
      44: 6q+2
      45: 2q^2+2q+2
      46: 4q+2
      47: 6q+2
      48: 3q+1
      49: 3q+1
      50: q^3+q^2+2q+1
      51: q^3+q^2+2q+1
      52: 3q+1
      53: 3q+1
      54: q^3+q^2+q+1
      55: q^3+q^2+q+1
      56: 2q+2
      57: 2q+2
      58: 2q+2
      59: q^3+q^2+q+1
      60: 4q+2
      61: 4q+2
      62: q^2+3q+2
      63: q^3+q^2+q+1
      64: 4q+2
      65: q^3+q^2+3q+2
      66: 4q+2
      67: q^3+q^2+2q+2
      68: 4q+2
      69: q^3+q^2+3q+2
      70: 4q+2
      71: q^3+q^2+2q+2
      72: 4q+2
      73: q^3+q^2+3q+2
      74: 4q+2
      75: q^3+q^2+2q+2
      76: q^2+q+1
      77: q^2+q+1
      78: 2q+1
      79: 2q+1
      80: 3q+1
      81: 3q+1
      82: q+1
      83: 3q+2
      84: 2q+2
      85: q^2+2q+2
      86: 2q+2
      87: 2q+2
      88: q+1
      89: q+1
      90: q+1
      91: q+1
      92: q+1
      93: q+1
      94: q+1
      95: q+1
      96: 2q+2
      97: 4q+2
      98: q^2+2q+2
      99: 3q+2
     100: 2q+2
     101: 4q+2
     102: q^2+2q+2
     103: 3q+2
     104: 2q+2
     105: 2q+2
     106: 2q+2
     107: q^3+q^2+q+1
     108: 2q+2
     109: 2q+2
     110: 2q+2
     111: q^2+q+1
     112: 4q+2
     113: q^3+q^2+3q+2
     114: 4q+2
     115: q^3+q^2+2q+2
     116: 4q+2
     117: q^3+q^2+3q+2
     118: 4q+2
     119: q^3+q^2+2q+2
     120: 4q+2
     121: q^3+q^2+3q+2
     122: 4q+2
     123: q^3+q^2+2q+2
     124: 1
     125: 1
     126: q+1
     127: q+1
     128: q+1
     129: q+1
     130: q+1
     131: q+1
     132: 2q+1
     133: 2q+1
     134: q+1
     135: 2q+2
     136: q+1
     137: q+1
     138: q+1
     139: q+1
     140: q+1
     141: q+1
     142: q+1
     143: q+1
     144: q+1
     145: 2q+2
     146: q+2
     147: q+2
     148: 2q+2
     149: 3q+2
     150: q^2+2q+2
     151: 2q+2
     152: 2q+2
     153: 2q+2
     154: 2q+2
     155: 3q+2
     156: q^2+2q+2
     157: 2q+2
     158: 2q+2
     159: 2q+2
     160: q^2+2q+2
     161: 3q+2
     162: q+1
     163: q+1
     164: q+1
     165: q+1
     166: q+1
     167: q+1
     168: q+1
     169: q+1
     170: 2
     171: 2
     172: 2
     173: q^2+1
     174: 2q+2
     175: 2q+2
     176: 2q+2
     177: q^2+q+1
     178: 2q+2
     179: 2q+2
     180: 2q+2
     181: q^2+q+1
     182: 4q+2
     183: q^3+q^2+3q+2
     184: 4q+2
     185: q^3+q^2+2q+2
     186: q+1
     187: q+1
     188: q+1
     189: q+1
     190: 1
     191: 1
     192: 1
     193: 1
     194: q+1
     195: q+1
     196: 1
     197: 1
     198: 1
     199: 1
     200: q+1
     201: q+1
     202: q+1
     203: q+1
     204: q+1
     205: q+1
     214: q+1
     215: 1
     216: 2
     217: 2
     218: q+2
     219: 2
     220: q+2
     221: 2q+2
     222: q+1
     223: 2q+2
     224: q+2
     225: q+2
     226: 2q+2
     227: q+1
     228: 2q+2
     229: q+2
     230: q+2
     231: 3q+2
     232: q+1
     233: q+1
     234: q+1
     235: q+1
     236: q+1
     237: q+1
     238: q+1
     239: q+1
     240: q^2+2q+2
     241: 2q+2
     242: 2q+2
     243: 2q+2
     244: 4
     245: 2q+2
     246: 4
     247: 2q+2
     248: 2
     249: 2
     250: 2
     251: q^2+1
     252: 2
     253: 2
     254: 2
     255: q^2+1
     256: 2q+2
     257: 2q+2
     258: 2q+2
     259: q^2+q+1
     264: q+1
     265: q+1
     268: 1
     269: 1
     270: 1
     271: 1
     272: 1
     273: 1
     274: 1
     275: 1
     276: 1
     277: 1
     278: 1
     279: 1
     280: q+1
     281: q+1
     282: q+1
     283: q+1
     284: 1
     285: 1
     286: q+1
     287: q+1
     296: 1
     297: 2
     298: 2
     299: 2
     300: 2q+2
     301: 2
     302: 2
     303: q+1
     304: q+1
     305: 2
     306: 2
     307: q+1
     308: q+1
     309: q+1
     310: 1
     311: 2
     312: 2
     313: q+2
     314: 2
     315: q+2
     316: 4
     317: q+1
     318: 1
     319: 2
     320: 2
     321: q+2
     322: 2
     323: q+2
     324: 4
     333: 2q+2
     334: q+1
     335: 2q+2
     336: q+2
     337: q+2
     338: 2
     339: q+1
     340: 2
     341: q+1
     342: 2
     343: 2
     344: 2
     345: q^2+1
     356: 1
     357: 1
     358: 1
     359: 1
     360: q+1
     361: q+1
     362: 1
     363: 1
     366: 1
     367: 1
     368: 2
     369: 2
     370: 1
     371: 1
     374: 1
     375: 1
     376: 2
     377: 2
     382: q+1
     383: q+1
     384: 1
     385: 1
     386: 1
     387: 1
     388: 2
     389: 2
     390: 1
     391: 1
     392: 2
     393: q+1
     402: 1
     403: 1
     404: 2
     405: 2
     406: 2
     407: 2
     408: 1
     409: 2
     410: 2
     411: 2
     412: 2
     421: q+1
     422: 1
     423: 2
     424: 2
     425: q+2
     426: 2
     427: q+2
     428: 2
     429: q+1
     430: 2
     431: q+1
     436: 1
     437: 1
     439: 1
     440: 1
     450: 1
     451: 1
     456: 1
     457: 1
     460: 1
     461: 1
     466: 1
     467: 1
     470: 1
     471: 1
     480: 1
     481: 1
     484: 1
     485: 1
     486: 1
     487: 1
     488: q+1
     497: 1
     498: 1
     509: 2
     510: 1
     511: 1
     512: 2
     514: 1
     515: 2
     516: 1
     517: 1
     518: 2
     520: 1
     521: 1
     522: 2
     523: 2
     524: 2
     557: 1
     558: 1
     569: 1
     570: 1
     575: 1
     576: 1
     579: 1
     580: 1
     583: 1
     584: 1
     596: 1
     600: 1
     601: 1
     604: 1
     605: 1
     607: 1
     608: 1
     609: 2
     610: 1
     669: 1
     670: 1
     685: 1
     689: 1
     692: 1
     693: 1
     756: 1

757:   0: 6q^2+8q+2
       1: 2q^2+4q+2
       2: 6q^2+8q+2
       3: 2q^3+6q^2+6q+2
       4: 6q^2+8q+2
       5: 2q^2+4q+2
       6: q^3+2q^2+3q+2
       7: 2q^2+4q+2
       8: 6q^2+8q+2
       9: q^3+2q^2+3q+2
      10: 2q^2+4q+2
      11: q^3+2q^2+3q+2
      12: 2q^3+6q^2+6q+2
      13: q^3+2q^2+3q+2
      15: 2q^2+4q+2
      16: q^3+2q^2+3q+2
      17: 2q^2+4q+2
      18: q^3+2q^2+3q+2
      19: 4q+2
      20: q^2+3q+2
      21: 4q+2
      23: 6q^2+8q+2
      24: 6q^2+8q+2
      25: q^3+2q^2+3q+2
      26: q^3+2q^2+3q+2
      27: 4q^2+6q+2
      28: q^2+3q+2
      29: q^2+3q+2
      30: 4q^2+6q+2
      31: 6q^2+8q+2
      32: 2q^2+4q+2
      33: 6q^2+8q+2
      34: 2q^2+4q+2
      35: 6q^2+8q+2
      36: 2q^2+4q+2
      37: 6q^2+8q+2
      38: 2q^2+4q+2
      39: q^3+2q^2+3q+2
      40: q^2+3q+2
      41: 3q+2
      42: 2q^2+4q+2
      43: 4q+2
      44: 6q^2+8q+2
      45: 2q^2+4q+2
      46: 4q+2
      47: 6q^2+8q+2
      48: 3q^2+4q+1
      49: 3q^2+4q+1
      50: q^2+2q+1
      51: q^2+2q+1
      52: 3q^2+4q+1
      53: 3q^2+4q+1
      54: q^2+2q+1
      55: q^2+2q+1
      56: 4q+2
      57: q^2+3q+2
      58: 4q+2
      60: 4q+2
      61: 4q+2
      62: q^2+3q+2
      64: 4q^2+6q+2
      65: q^2+3q+2
      66: 4q^2+6q+2
      67: q^2+3q+2
      68: 4q^2+6q+2
      69: q^2+3q+2
      70: 4q^2+6q+2
      71: q^2+3q+2
      72: 4q^2+6q+2
      73: q^2+3q+2
      74: 4q^2+6q+2
      75: q^2+3q+2
      76: q^2+2q+1
      77: q^2+2q+1
      78: 2q+1
      79: 2q+1
      80: 3q^2+4q+1
      81: 3q^2+4q+1
      83: 3q+2
      84: 3q+2
      85: q^2+3q+2
      86: 2q^2+4q+2
      87: 2q^2+4q+2
      88: q^2+2q+1
      89: q^2+2q+1
      90: q+1
      91: q+1
      92: q^2+2q+1
      93: q^2+2q+1
      94: q+1
      95: q+1
      96: 4q+2
      97: 4q+2
      98: q^2+3q+2
      99: 3q+2
     100: 4q+2
     101: 4q+2
     102: q^2+3q+2
     103: 3q+2
     104: 4q+2
     105: 4q+2
     106: q^2+3q+2
     108: 2q+2
     109: 2q+2
     110: 2q+2
     112: 4q^2+6q+2
     113: q^2+3q+2
     114: 4q^2+6q+2
     115: q^2+3q+2
     116: 4q^2+6q+2
     117: q^2+3q+2
     118: 4q^2+6q+2
     119: q^2+3q+2
     120: 4q^2+6q+2
     121: q^2+3q+2
     122: 4q^2+6q+2
     123: q^2+3q+2
     124: q+1
     125: q+1
     126: q+1
     127: q+1
     128: q+1
     129: q+1
     130: 2q+1
     131: 2q+1
     132: 2q+1
     133: 2q+1
     135: 3q+2
     136: q^2+2q+1
     137: q^2+2q+1
     138: q+1
     139: q+1
     140: q^2+2q+1
     141: q^2+2q+1
     142: q+1
     143: q+1
     145: 2q+2
     146: q+2
     147: q+2
     148: 4q+2
     149: 3q+2
     150: q^2+3q+2
     151: 2q^2+4q+2
     152: 3q+2
     153: 2q^2+4q+2
     154: 4q+2
     155: 3q+2
     156: q^2+3q+2
     157: 3q+2
     158: 2q^2+4q+2
     159: 2q^2+4q+2
     160: q^2+3q+2
     161: 3q+2
     162: q^2+2q+1
     163: q^2+2q+1
     164: q+1
     165: q+1
     166: q^2+2q+1
     167: q^2+2q+1
     168: q+1
     169: q+1
     170: 2q+2
     171: 2q+2
     172: 2q+2
     174: 2q+2
     175: 2q+2
     176: 2q+2
     178: 2q+2
     179: 2q+2
     180: 2q+2
     182: 4q^2+6q+2
     183: q^2+3q+2
     184: 4q^2+6q+2
     185: q^2+3q+2
     186: q+1
     187: q+1
     188: q+1
     189: q+1
     190: q+1
     191: q+1
     192: 1
     193: 1
     194: q+1
     195: q+1
     196: q+1
     197: q+1
     198: q+1
     199: q+1
     200: 2q+1
     201: 2q+1
     202: q+1
     203: q+1
     204: q+1
     205: q+1
     216: 2q+2
     217: q+2
     218: q+2
     219: q+2
     220: q+2
     221: 3q+2
     223: 2q+2
     224: q+2
     225: q+2
     226: 3q+2
     228: 2q+2
     229: q+2
     230: q+2
     231: 3q+2
     232: q^2+2q+1
     233: q^2+2q+1
     234: q+1
     235: q+1
     236: q^2+2q+1
     237: q^2+2q+1
     238: q+1
     239: q+1
     240: q^2+3q+2
     241: 2q^2+4q+2
     242: 2q^2+4q+2
     243: 3q+2
     244: 4q+4
     245: 2q+2
     246: 4q+4
     247: 2q+2
     248: 2q+2
     249: 2q+2
     250: 2q+2
     252: 2q+2
     253: 2q+2
     254: 2q+2
     256: 2q+2
     257: 2q+2
     258: 2q+2
     264: q+1
     265: q+1
     268: 1
     269: 1
     270: 1
     271: 1
     272: q+1
     273: q+1
     274: 1
     275: 1
     276: q+1
     277: q+1
     278: 1
     279: 1
     280: q+1
     281: q+1
     282: q+1
     283: q+1
     284: q+1
     285: q+1
     286: q+1
     287: q+1
     297: q+2
     298: q+2
     299: 2
     300: 2q+2
     301: 2q+2
     302: 2q+2
     303: q+1
     304: q+1
     305: 2q+2
     306: 2q+2
     307: q+1
     308: q+1
     311: 2q+2
     312: q+2
     313: q+2
     314: q+2
     315: q+2
     316: 4q+4
     319: 2q+2
     320: q+2
     321: q+2
     322: q+2
     323: q+2
     324: 4q+4
     333: 3q+2
     335: 2q+2
     336: q+2
     337: q+2
     338: 2
     339: q+1
     340: 2
     342: 2q+2
     343: 2q+2
     344: 2q+2
     356: 1
     357: 1
     358: 1
     359: 1
     360: q+1
     361: q+1
     362: 1
     363: 1
     366: 1
     367: 1
     368: 2q+2
     369: 2q+2
     370: 1
     371: 1
     374: 1
     375: 1
     376: 2q+2
     377: 2q+2
     382: q+1
     383: q+1
     384: 1
     385: 1
     386: q+1
     387: q+1
     388: 2q+2
     389: 2q+2
     392: 2
     402: 1
     404: q+2
     405: q+2
     406: 2
     407: 2
     409: q+2
     410: q+2
     411: 2
     412: 2
     423: 2q+2
     424: q+2
     425: q+2
     426: q+2
     427: q+2
     428: 2
     429: q+1
     430: 2
     432: 2
     433: q+1
     434: 2
     436: q+1
     437: q+1
     439: q+1
     440: q+1
     450: 1
     451: 1
     456: 1
     457: 1
     460: 1
     461: 1
     466: 1
     467: 1
     470: 1
     471: 1
     480: 1
     481: 1
     484: 1
     485: 1
     486: 1
     487: 1
     497: 1
     508: 1
     509: 2
     512: 2
     513: 2
     514: 1
     515: 2
     518: 2
     519: 2
     520: 1
     522: q+2
     523: q+2
     524: 2
     525: 2
     526: q+1
     527: 2
     557: 1
     558: 1
     569: 1
     570: 1
     575: 1
     576: 1
     579: 1
     580: 1
     583: 1
     584: 1
     585: 1
     586: 1
     597: 1
     599: 2
     600: 1
     602: 1
     603: 2
     604: 1
     606: 1
     609: 2
     610: 1
     661: 1
     662: 1
     669: 1
     670: 1
     686: 1
     690: 1
     693: 1
     694: 1
     757: 1

758:   0: 2q+2
       1: 2q+2
       2: 2q+2
       3: 2q+2
       4: 2q+2
       5: 2q+2
       6: 2q+2
       7: 2q+2
       8: 2q+2
       9: 2q+2
      10: 2q+2
      11: q^3+q^2+q+1
      12: 2q+2
      13: q^3+q^2+q+1
      14: q^3+q^2+q+1
      15: 2q+2
      16: 2q+2
      17: 2q+2
      18: q^3+q^2+q+1
      19: 2q+2
      20: 2q+2
      21: 2q+2
      22: q^3+q^2+q+1
      23: 2
      24: 2
      25: q+1
      26: q+1
      27: 2q+2
      28: 2q+2
      29: 2q+2
      30: 2q+2
      31: 2q+2
      32: 2q+2
      33: 2q+2
      34: 2q+2
      35: 2q+2
      36: 2q+2
      37: 2q+2
      38: 2q+2
      39: q+1
      40: 2q+2
      41: 2q+2
      42: 2q+2
      43: 2q+2
      44: 2
      45: 2q+2
      46: 2q+2
      47: 2
      48: q+1
      49: q+1
      50: q+1
      51: q+1
      52: q+1
      53: q+1
      54: q+1
      55: q+1
      56: 2q+2
      57: 2q+2
      58: 2q+2
      59: q^3+q^2+q+1
      60: 2
      61: 2
      62: q+1
      63: q+1
      64: 2
      65: q+1
      66: 2
      67: q+1
      68: 2q+2
      69: 2q+2
      70: 2q+2
      71: 2q+2
      72: 2q+2
      73: 2q+2
      74: 2q+2
      75: 2q+2
      76: q+1
      77: q+1
      78: q+1
      79: q+1
      80: 1
      81: 1
      82: q+1
      83: 1
      84: 2q+2
      85: q+1
      86: 2
      87: 2
      88: q+1
      89: q+1
      90: q+1
      91: q+1
      92: q+1
      93: q+1
      94: q+1
      95: q+1
      96: 2q+2
      97: 2
      98: 2q+2
      99: 2q+2
     100: 2q+2
     101: 2
     102: 2q+2
     103: 2q+2
     104: 2
     105: 2
     106: q+1
     107: q+1
     108: 2
     109: q+1
     110: 2
     111: q+1
     112: 2
     113: q+1
     114: 2
     115: q+1
     116: 2
     117: q+1
     118: 2
     119: q+1
     120: 2q+2
     121: 2q+2
     122: 2q+2
     123: 2q+2
     124: 1
     125: 1
     126: q+1
     127: q+1
     128: q+1
     129: q+1
     130: q+1
     131: q+1
     132: 1
     133: 1
     134: q+1
     135: 1
     144: q+1
     145: 1
     146: 2
     147: 2
     148: 2
     149: 1
     150: q+1
     151: 2
     152: 2q+2
     153: 2
     154: 2
     155: 1
     156: q+1
     157: 2q+2
     158: 2
     159: 2
     160: 2q+2
     161: 2q+2
     162: q+1
     163: q+1
     164: q+1
     165: q+1
     166: q+1
     167: q+1
     168: q+1
     169: q+1
     170: 2
     171: q+1
     172: 2
     173: q+1
     174: 2
     175: q+1
     176: 2
     177: q+1
     178: 2
     179: q+1
     180: 2
     181: q+1
     182: 2
     183: q+1
     184: 2
     185: q+1
     192: 1
     193: 1
     194: q+1
     195: q+1
     196: 1
     197: 1
     198: 1
     199: 1
     200: 1
     201: 1
     202: q+1
     203: q+1
     204: q+1
     205: q+1
     214: 1
     215: q+1
     216: 1
     217: 2
     218: 1
     219: 2
     220: 1
     221: 1
     222: q+1
     223: 1
     224: 2
     225: 2
     226: 1
     227: q+1
     228: 1
     229: 2
     230: 2
     231: 1
     240: q+1
     241: 2
     242: 2
     243: 2q+2
     244: 2
     245: q+1
     246: 2
     247: q+1
     248: 2
     249: q+1
     250: 2
     251: q+1
     252: 2
     253: q+1
     254: 2
     255: q+1
     256: 2
     257: q+1
     258: 2
     259: q+1
     270: 1
     271: 1
     274: 1
     275: 1
     278: 1
     279: 1
     284: 1
     285: 1
     286: q+1
     287: q+1
     296: 1
     297: 1
     298: 1
     299: 1
     300: q+1
     309: 1
     310: q+1
     311: 1
     312: 2
     313: 1
     314: 2
     315: 1
     316: 2
     317: 1
     318: q+1
     319: 1
     320: 2
     321: 1
     322: 2
     323: 1
     324: 2
     333: 1
     334: q+1
     335: 1
     336: 2
     337: 2
     338: 2
     339: q+1
     340: 2
     341: q+1
     342: 2
     343: q+1
     344: 2
     345: q+1
     366: 1
     367: 1
     374: 1
     375: 1
     384: 1
     385: 1
     388: 1
     389: 1
     390: 1
     391: 1
     392: 1
     393: q+1
     402: 1
     403: 1
     404: 1
     405: 1
     406: 1
     407: 2
     408: 1
     409: 1
     410: 1
     411: 1
     412: 2
     421: 1
     422: q+1
     423: 1
     424: 2
     425: 1
     426: 2
     427: 1
     432: 2
     433: q+1
     434: 2
     435: q+1
     484: 1
     485: 1
     486: 1
     487: 1
     498: 1
     507: q+1
     508: 1
     510: 1
     511: 1
     512: 1
     513: 2
     514: 1
     516: 1
     517: 1
     518: 1
     519: 2
     520: 1
     521: 1
     522: 1
     523: 1
     524: 1
     585: 1
     586: 1
     598: 1
     601: 1
     602: 1
     605: 1
     606: 1
     607: 1
     608: 1
     609: 1
     610: 1
     687: 1
     691: 1
     692: 1
     694: 1
     758: 1

759:   0: q^2+2q+1
       1: q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^3+2q^2+2q+1
       5: q+1
       6: q+1
       7: q^2+q+1
       8: q^3+2q^2+2q+1
       9: q+1
      10: q^2+q+1
      11: q+1
      12: q^3+2q^2+2q+1
      13: q+1
      15: q+1
      16: q+1
      17: q^2+q+1
      18: q+1
      19: q+1
      20: q+1
      21: q^2+q+1
      23: q^2+2q+1
      24: q^3+2q^2+2q+1
      25: q+1
      26: q+1
      27: q^2+2q+1
      28: q+1
      29: q+1
      30: q^3+2q^2+2q+1
      31: q^2+2q+1
      32: q+1
      33: q^2+2q+1
      34: q+1
      35: q^2+2q+1
      36: q+1
      37: q^2+2q+1
      38: q+1
      39: q+1
      40: q+1
      41: q+1
      42: q+1
      43: q+1
      44: q^2+2q+1
      45: q+1
      46: q+1
      47: q^2+2q+1
      48: q^2+2q+1
      50: q+1
      52: q^2+2q+1
      54: q+1
      56: q+1
      57: q+1
      58: q^2+q+1
      60: q+1
      61: q^2+q+1
      62: q+1
      64: q^2+2q+1
      65: q+1
      66: q^3+2q^2+2q+1
      67: q+1
      68: q^2+2q+1
      69: q+1
      70: q^2+2q+1
      71: q+1
      72: q^2+2q+1
      73: q+1
      74: q^2+2q+1
      75: q+1
      76: q+1
      78: q+1
      80: q^2+2q+1
      83: q+1
      84: q+1
      85: q+1
      86: q^2+2q+1
      87: q^2+2q+1
      88: q^2+2q+1
      90: q+1
      92: q^2+2q+1
      94: q+1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     100: q+1
     101: q+1
     102: q+1
     103: q+1
     104: q+1
     105: q^2+q+1
     106: q+1
     108: q+1
     109: q+1
     110: q^2+q+1
     112: q^2+2q+1
     113: q+1
     114: q^2+2q+1
     115: q+1
     116: q^2+2q+1
     117: q+1
     118: q^2+2q+1
     119: q+1
     120: q+1
     121: 1
     122: q^2+2q+1
     123: 1
     124: q^2+2q+1
     126: q+1
     128: q+1
     130: q+1
     132: q+1
     135: q+1
     136: q^2+2q+1
     138: q+1
     140: q^2+2q+1
     142: q+1
     145: q+1
     146: q+1
     147: q+1
     148: q+1
     149: q+1
     150: q+1
     151: q+1
     152: q+1
     153: q^2+2q+1
     154: q+1
     155: q+1
     156: q+1
     157: q+1
     158: q^2+2q+1
     159: q+1
     160: 1
     161: 1
     162: q+1
     164: 1
     166: q^2+2q+1
     168: 1
     170: q+1
     171: q+1
     172: q^2+q+1
     174: q+1
     175: q+1
     176: q+1
     178: q+1
     179: q+1
     180: q+1
     182: q+1
     183: 1
     184: q^2+2q+1
     185: 1
     186: q+1
     188: q+1
     190: q^2+2q+1
     192: q+1
     194: q+1
     196: q+1
     198: q+1
     200: q+1
     202: 1
     204: 1
     206: q+1
     208: q+1
     210: q+1
     216: q+1
     217: q+1
     218: q+1
     219: q+1
     220: q+1
     221: q+1
     223: q+1
     224: 1
     225: q+1
     226: q+1
     228: q+1
     229: q+1
     230: 1
     231: 1
     232: q+1
     234: 1
     236: q^2+2q+1
     238: 1
     240: 1
     241: q+1
     242: q+1
     243: 1
     244: q+1
     245: 1
     246: q^2+2q+1
     247: 1
     248: q+1
     249: q+1
     250: q+1
     252: q+1
     253: q+1
     254: q+1
     256: 1
     257: 1
     258: q+1
     262: q+1
     264: q+1
     266: q+1
     268: q+1
     270: q+1
     272: q+1
     274: 1
     276: q+1
     278: 1
     280: 1
     282: 1
     284: q+1
     286: 1
     288: q+1
     290: q+1
     292: q+1
     297: q+1
     298: q+1
     299: 1
     300: 1
     301: q+1
     303: 1
     305: q^2+2q+1
     307: 1
     311: q+1
     312: 1
     313: 1
     314: q+1
     315: q+1
     316: q+1
     319: q+1
     320: q+1
     321: q+1
     322: 1
     323: 1
     324: q+1
     325: 1
     327: 1
     329: q+1
     333: 1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: q+1
     342: 1
     343: 1
     344: q+1
     348: q+1
     352: q+1
     354: q+1
     356: q+1
     358: 1
     360: 1
     362: 1
     364: 1
     366: 1
     368: q+1
     370: 1
     372: 1
     374: 1
     376: q+1
     380: 1
     382: 1
     384: 1
     386: q+1
     388: q+1
     392: 1
     394: 1
     396: 1
     398: q+1
     402: 1
     404: 1
     405: q+1
     406: 1
     407: 1
     409: q+1
     410: 1
     411: 1
     412: 1
     413: 1
     415: 1
     417: q+1
     423: 1
     424: 1
     425: 1
     426: 1
     427: 1
     428: 1
     429: 1
     430: q+1
     432: 1
     433: 1
     434: q+1
     436: q+1
     446: q+1
     448: 1
     450: 1
     454: 1
     456: 1
     458: 1
     460: 1
     462: 1
     464: 1
     466: 1
     468: 1
     470: 1
     472: 1
     476: 1
     480: 1
     482: 1
     484: 1
     486: 1
     489: 1
     491: 1
     493: q+1
     497: 1
     499: 1
     501: 1
     503: q+1
     508: 1
     509: 1
     512: 1
     513: 1
     514: 1
     515: 1
     518: 1
     519: 1
     520: 1
     522: 1
     523: 1
     525: 1
     526: 1
     527: q+1
     529: 1
     539: 1
     543: 1
     547: 1
     549: 1
     553: 1
     555: 1
     557: 1
     559: 1
     561: 1
     565: 1
     567: 1
     569: 1
     571: 1
     575: 1
     577: 1
     579: 1
     581: 1
     585: 1
     587: 1
     589: 1
     591: q+1
     597: 1
     599: 1
     600: 1
     602: 1
     603: 1
     604: 1
     606: 1
     615: 1
     621: 1
     631: 1
     635: 1
     637: 1
     639: 1
     641: 1
     645: 1
     649: 1
     651: 1
     655: 1
     659: 1
     661: 1
     665: 1
     686: 1
     690: 1
     695: 1
     701: 1
     715: 1
     717: 1
     723: 1
     731: 1
     759: 1

760:   0: 5q^3+8q^2+3q
       1: 5q^2+3q
       2: 2q^4+7q^3+8q^2+3q
       3: 5q^3+8q^2+3q
       4: 2q^4+7q^3+8q^2+3q
       5: 5q^2+3q
       6: 5q^2+3q
       7: 2q^3+5q^2+3q
       8: 3q^4+8q^3+8q^2+3q
       9: 5q^2+3q
      10: 2q^3+5q^2+3q
      11: q^3+3q^2+2q
      12: 3q^4+8q^3+8q^2+3q
      13: q^3+3q^2+2q
      15: 5q^2+3q
      16: 5q^2+3q
      17: 2q^3+5q^2+3q
      18: q^3+3q^2+2q
      19: 5q^2+3q
      20: 5q^2+3q
      21: 2q^3+5q^2+3q
      23: 4q^3+7q^2+3q
      24: q^4+5q^3+7q^2+3q
      25: 3q^2+2q
      26: 3q^2+2q
      27: 5q^3+8q^2+3q
      28: 5q^2+3q
      29: 5q^2+3q
      30: 3q^4+8q^3+8q^2+3q
      31: 4q^3+7q^2+3q
      32: 4q^2+3q
      33: q^4+5q^3+7q^2+3q
      34: 4q^2+3q
      35: 4q^3+7q^2+3q
      36: 4q^2+3q
      37: q^4+5q^3+7q^2+3q
      38: 4q^2+3q
      39: 3q^2+2q
      40: 5q^2+3q
      41: 5q^2+3q
      42: 4q^2+3q
      43: 4q^2+3q
      44: 3q^3+6q^2+3q
      45: 4q^2+3q
      46: 4q^2+3q
      47: 3q^3+6q^2+3q
      48: q^3+2q^2+q
      49: 2q^3+4q^2+2q
      50: q^2+q
      51: 2q^2+2q
      52: q^3+2q^2+q
      53: 2q^3+4q^2+2q
      54: q^2+q
      55: 2q^2+2q
      56: 5q^2+3q
      57: 5q^2+3q
      58: 2q^3+5q^2+3q
      60: 4q^2+3q
      61: q^3+4q^2+3q
      62: 3q^2+2q
      64: 4q^3+7q^2+3q
      65: 3q^2+2q
      66: q^4+5q^3+7q^2+3q
      67: 3q^2+2q
      68: 4q^3+7q^2+3q
      69: 4q^2+3q
      70: q^4+5q^3+7q^2+3q
      71: 4q^2+3q
      72: 4q^3+7q^2+3q
      73: 4q^2+3q
      74: q^4+5q^3+7q^2+3q
      75: 4q^2+3q
      76: q^2+q
      77: 2q^2+2q
      78: q^2+q
      79: 2q^2+2q
      80: q^3+2q^2+q
      81: q^3+3q^2+2q
      83: 2q^2+2q
      84: 5q^2+3q
      85: 3q^2+2q
      86: 3q^3+6q^2+3q
      87: 3q^3+6q^2+3q
      88: q^3+2q^2+q
      89: 2q^3+4q^2+2q
      90: q^2+q
      91: 2q^2+2q
      92: q^3+2q^2+q
      93: 2q^3+4q^2+2q
      94: q^2+q
      95: 2q^2+2q
      96: 4q^2+3q
      97: 3q^2+3q
      98: 4q^2+3q
      99: 4q^2+3q
     100: 4q^2+3q
     101: 3q^2+3q
     102: 4q^2+3q
     103: 4q^2+3q
     104: 4q^2+3q
     105: q^3+4q^2+3q
     106: 3q^2+2q
     108: 4q^2+3q
     109: 3q^2+2q
     110: q^3+4q^2+3q
     112: 2q^3+5q^2+3q
     113: 2q^2+2q
     114: 2q^3+5q^2+3q
     115: 2q^2+2q
     116: 2q^3+5q^2+3q
     117: 2q^2+2q
     118: 2q^3+5q^2+3q
     119: 2q^2+2q
     120: q^3+4q^2+3q
     121: q^2+3q
     122: 3q^3+6q^2+3q
     123: q^2+3q
     124: q^3+2q^2+q
     125: q^3+3q^2+2q
     126: q^2+q
     127: 2q^2+2q
     128: q^2+q
     129: 2q^2+2q
     130: q^2+q
     131: 2q^2+2q
     132: q^2+q
     133: q^2+2q
     135: 2q^2+2q
     137: 2q^2+2q
     139: q^2+q
     141: 2q^2+2q
     143: q^2+q
     145: 2q^2+2q
     146: 3q^2+3q
     147: 3q^2+3q
     148: 3q^2+3q
     149: q^2+2q
     150: 2q^2+2q
     151: 2q^2+2q
     152: 4q^2+3q
     153: 2q^3+5q^2+3q
     154: 3q^2+3q
     155: q^2+2q
     156: 2q^2+2q
     157: 4q^2+3q
     158: 2q^3+5q^2+3q
     159: 2q^2+2q
     160: q^2+3q
     161: q^2+3q
     162: q^2+q
     163: q^3+3q^2+2q
     164: q
     165: q^2+2q
     166: q^3+2q^2+q
     167: 2q^3+4q^2+2q
     168: q
     169: q^2+2q
     170: 4q^2+3q
     171: 3q^2+2q
     172: q^3+4q^2+3q
     174: 2q^2+3q
     175: 2q^2+2q
     176: 2q^2+3q
     178: 2q^2+3q
     179: 2q^2+2q
     180: 2q^2+3q
     182: 3q^2+3q
     183: 2q
     184: q^3+4q^2+3q
     185: 2q
     187: q
     189: q^2+q
     191: 2q^2+2q
     192: q^2+q
     193: q^2+2q
     194: q^2+q
     195: 2q^2+2q
     196: q^2+q
     197: q^2+q
     198: q^2+q
     199: q^2+q
     200: q^2+q
     201: q^2+2q
     202: q
     203: q^2+2q
     204: q
     205: q^2+2q
     207: 2q
     209: q^2+q
     211: 2q
     216: 2q^2+2q
     217: 3q^2+3q
     218: q^2+2q
     219: 3q^2+3q
     220: q^2+2q
     221: q^2+2q
     223: q^2+2q
     224: 2q
     225: 2q^2+3q
     226: q^2+2q
     228: q^2+2q
     229: 2q^2+3q
     230: 2q
     231: 2q
     233: 2q^2+2q
     235: q
     237: 2q^2+2q
     239: q
     240: 2q
     241: 2q^2+2q
     242: 2q^2+2q
     243: q^2+3q
     244: 3q^2+3q
     245: 2q
     246: q^3+4q^2+3q
     247: 2q
     248: 2q^2+3q
     249: 2q^2+2q
     250: 2q^2+3q
     252: 2q^2+3q
     253: 2q^2+2q
     254: 2q^2+3q
     256: 3q
     257: 2q
     258: q^2+3q
     263: q
     265: q
     267: 2q
     269: q
     270: q^2+q
     271: q^2+2q
     273: q^2+q
     274: q
     275: q
     277: q^2+q
     278: q
     279: q
     281: q
     283: q
     284: q^2+q
     286: q
     287: q^2+2q
     289: 2q
     291: q^2+q
     293: 2q
     297: q^2+2q
     298: q^2+2q
     299: 2q
     300: 2q
     302: 2q^2+2q
     304: q
     306: 2q^2+2q
     308: q
     311: q^2+2q
     312: 2q
     313: q
     314: 2q^2+3q
     315: q^2+2q
     316: 2q^2+2q
     319: q^2+2q
     320: 2q^2+3q
     321: q^2+2q
     322: 2q
     323: q
     324: 2q^2+2q
     326: 2q
     328: q
     330: 2q
     333: 2q
     335: 2q
     336: 2q
     337: 2q
     338: 3q
     339: 2q
     340: q^2+3q
     342: 3q
     343: 2q
     344: q^2+3q
     349: q
     353: 2q
     355: q
     357: q
     359: q
     361: q
     365: q
     366: q
     367: q
     369: q^2+q
     373: q
     374: q
     375: q
     377: q^2+q
     381: q
     383: q
     384: q
     388: q^2+q
     392: 2q
     395: 2q
     397: q
     399: 2q
     402: 2q
     404: q
     405: q^2+2q
     406: q
     407: 2q
     409: q^2+2q
     410: q
     411: q
     412: 2q
     414: 2q
     416: q
     418: 2q
     423: 2q
     424: 2q
     425: q
     426: 2q
     427: q
     428: 1
     429: 1
     430: q+1
     432: 3q
     433: 2q
     434: q^2+3q
     447: q
     449: q
     451: q
     459: q
     463: q
     469: q
     473: q
     477: q
     484: q
     486: q
     490: 1
     492: 1
     494: q+1
     497: 1
     500: 2q
     502: q
     504: 2q
     508: 2q
     509: 1
     512: q
     513: 2q
     514: q
     515: 1
     518: q
     519: 2q
     520: q
     522: q
     523: q
     525: 1
     526: 1
     527: q+1
     540: 1
     544: q
     550: 1
     560: q
     562: 1
     572: q
     575: 1
     585: q
     588: 1
     590: 1
     592: q+1
     597: 1
     599: 1
     600: 1
     602: q
     603: 1
     604: 1
     606: q
     616: 1
     632: 1
     639: 1
     642: 1
     646: 1
     652: 1
     656: 1
     661: 1
     686: 1
     690: 1
     696: 1
     702: 1
     717: 1
     724: 1
     732: 1
     760: 1

761:   0: q^2+q
       1: q^4+q
       2: q^2+q
       3: q^2+q
       4: q^3+q^2+q
       5: q^4+q
       6: q^4+q
       7: q
       8: q^3+q^2+q
       9: q^4+q
      10: q
      11: q^4+q
      12: q^3+q^2+q
      13: q^4+q
      15: q^4+q
      16: q^4+q
      17: q
      18: q^4+q
      19: q
      20: q
      21: q
      23: q^2+q
      24: q^3+q^2+q
      25: q^4+q
      26: q^4+q
      27: q^2+q
      28: q^4+q
      29: q^4+q
      30: q^3+q^2+q
      31: q^2+q
      32: q
      33: q^2+q
      34: q
      35: q^2+q
      36: q
      37: q^2+q
      38: q
      39: q^4+q
      40: q^4+q
      41: q
      42: q
      43: q
      44: q^2+q
      45: q
      46: q
      47: q^2+q
      48: q^2+q
      50: q
      52: q^2+q
      54: q
      56: q
      57: q
      58: q
      60: q
      61: q
      62: q
      64: q^2+q
      65: q^4+q
      66: q^3+q^2+q
      67: q^4+q
      68: q^2+q
      69: q
      70: q^2+q
      71: q
      72: q^2+q
      73: q
      74: q^2+q
      75: q
      76: q
      78: q
      80: q^2+q
      83: q
      84: q
      85: q^4+q
      86: q^2+q
      87: q^2+q
      88: q^2+q
      90: q
      92: q^2+q
      94: q
      96: q
      97: q
      98: q
      99: q
     100: q
     101: q
     102: q
     103: q
     104: q
     105: q
     106: q
     108: q
     109: q
     110: q
     112: q^2+q
     113: q
     114: q^2+q
     115: q
     116: q^2+q
     117: q
     118: q^2+q
     119: q
     120: q
     121: q
     122: q^2+q
     123: q
     124: q^2+q
     126: q
     128: q
     130: q
     132: q
     135: q
     136: q^2+q
     138: q
     140: q^2+q
     142: q
     145: q
     146: q
     147: q
     148: q
     149: q
     150: q
     151: q
     152: q
     153: q^2+q
     154: q
     155: q
     156: q
     157: q
     158: q^2+q
     159: q
     160: q
     161: q
     162: q
     164: q
     166: q^2+q
     168: q
     170: q
     171: q
     172: q
     174: q
     175: q
     176: q
     178: q
     179: q
     180: q
     182: q
     183: q
     184: q^2+q
     185: q
     186: q
     188: q
     190: q^2+q
     192: q
     194: q
     196: q
     198: q
     200: q
     202: q
     204: q
     206: q
     208: q
     210: q
     216: q
     217: q
     218: q
     219: q
     220: q
     221: q
     223: q
     224: q
     225: q
     226: q
     228: q
     229: q
     230: q
     231: q
     232: q
     234: q
     236: q^2+q
     238: q
     240: q
     241: q
     242: q
     243: q
     244: q
     245: q
     246: q^2+q
     247: q
     248: q
     249: q
     250: q
     252: q
     253: q
     254: q
     262: q
     264: q
     266: q
     268: q
     270: q
     272: q
     274: q
     276: q
     278: q
     280: q
     282: q
     284: q
     286: q
     288: q
     290: q
     292: q
     297: q
     298: q
     299: q
     300: q
     301: q
     303: q
     305: q^2+q
     307: q
     311: q
     312: q
     313: q
     314: q
     315: q
     316: q
     319: q
     320: q
     321: q
     322: q
     323: q
     324: q
     333: q
     348: q
     352: q
     354: q
     356: q
     358: q
     360: q
     362: q
     366: q
     368: q
     370: q
     374: q
     376: q
     382: q
     386: q
     388: q
     392: q
     404: q
     405: q
     406: q
     409: q
     410: q
     411: q
     436: q
     446: q
     450: q
     456: q
     460: q
     466: q
     470: q
     482: 1
     512: q
     518: q
     531: 1
     557: q
     569: q
     577: 1
     581: 1
     617: 1
     623: 1
     637: 1
     665: 1
     697: 1
     703: 1
     715: 1
     761: 1

762:   0: 5q^3+8q^2+3q
       1: 5q^2+3q
       2: 2q^4+7q^3+8q^2+3q
       3: 5q^3+8q^2+3q
       4: 2q^4+7q^3+8q^2+3q
       5: 5q^2+3q
       6: 5q^2+3q
       7: 2q^3+5q^2+3q
       8: 3q^4+8q^3+8q^2+3q
       9: 5q^2+3q
      10: 2q^3+5q^2+3q
      11: q^3+3q^2+2q
      12: 3q^4+8q^3+8q^2+3q
      13: q^3+3q^2+2q
      15: 5q^2+3q
      16: 5q^2+3q
      17: 2q^3+5q^2+3q
      18: q^3+3q^2+2q
      19: 5q^2+3q
      20: 5q^2+3q
      21: 2q^3+5q^2+3q
      23: 4q^3+7q^2+3q
      24: q^4+5q^3+7q^2+3q
      25: 3q^2+2q
      26: 3q^2+2q
      27: 5q^3+8q^2+3q
      28: 5q^2+3q
      29: 5q^2+3q
      30: 3q^4+8q^3+8q^2+3q
      31: 4q^3+7q^2+3q
      32: 4q^2+3q
      33: q^4+5q^3+7q^2+3q
      34: 4q^2+3q
      35: 4q^3+7q^2+3q
      36: 4q^2+3q
      37: q^4+5q^3+7q^2+3q
      38: 4q^2+3q
      39: 3q^2+2q
      40: 5q^2+3q
      41: 5q^2+3q
      42: 4q^2+3q
      43: 4q^2+3q
      44: 3q^3+6q^2+3q
      45: 4q^2+3q
      46: 4q^2+3q
      47: 3q^3+6q^2+3q
      48: 2q^3+4q^2+2q
      49: q^3+2q^2+q
      50: 2q^2+2q
      51: q^2+q
      52: 2q^3+4q^2+2q
      53: q^3+2q^2+q
      54: 2q^2+2q
      55: q^2+q
      56: 5q^2+3q
      57: 5q^2+3q
      58: 2q^3+5q^2+3q
      60: 4q^2+3q
      61: q^3+4q^2+3q
      62: 3q^2+2q
      64: 4q^3+7q^2+3q
      65: 3q^2+2q
      66: q^4+5q^3+7q^2+3q
      67: 3q^2+2q
      68: 4q^3+7q^2+3q
      69: 4q^2+3q
      70: q^4+5q^3+7q^2+3q
      71: 4q^2+3q
      72: 4q^3+7q^2+3q
      73: 4q^2+3q
      74: q^4+5q^3+7q^2+3q
      75: 4q^2+3q
      76: 2q^2+2q
      77: q^2+q
      78: 2q^2+2q
      79: q^2+q
      80: q^3+3q^2+2q
      81: q^3+2q^2+q
      83: 2q^2+2q
      84: 5q^2+3q
      85: 3q^2+2q
      86: 3q^3+6q^2+3q
      87: 3q^3+6q^2+3q
      88: 2q^3+4q^2+2q
      89: q^3+2q^2+q
      90: 2q^2+2q
      91: q^2+q
      92: 2q^3+4q^2+2q
      93: q^3+2q^2+q
      94: 2q^2+2q
      95: q^2+q
      96: 4q^2+3q
      97: 3q^2+3q
      98: 4q^2+3q
      99: 4q^2+3q
     100: 4q^2+3q
     101: 3q^2+3q
     102: 4q^2+3q
     103: 4q^2+3q
     104: 4q^2+3q
     105: q^3+4q^2+3q
     106: 3q^2+2q
     108: 4q^2+3q
     109: 3q^2+2q
     110: q^3+4q^2+3q
     112: 2q^3+5q^2+3q
     113: 2q^2+2q
     114: 2q^3+5q^2+3q
     115: 2q^2+2q
     116: 2q^3+5q^2+3q
     117: 2q^2+2q
     118: 2q^3+5q^2+3q
     119: 2q^2+2q
     120: q^3+4q^2+3q
     121: q^2+3q
     122: 3q^3+6q^2+3q
     123: q^2+3q
     124: q^3+3q^2+2q
     125: q^3+2q^2+q
     126: 2q^2+2q
     127: q^2+q
     128: 2q^2+2q
     129: q^2+q
     130: 2q^2+2q
     131: q^2+q
     132: q^2+2q
     133: q^2+q
     135: 2q^2+2q
     136: 2q^2+2q
     138: q^2+q
     140: 2q^2+2q
     142: q^2+q
     145: 2q^2+2q
     146: 3q^2+3q
     147: 3q^2+3q
     148: 3q^2+3q
     149: q^2+2q
     150: 2q^2+2q
     151: 2q^2+2q
     152: 4q^2+3q
     153: 2q^3+5q^2+3q
     154: 3q^2+3q
     155: q^2+2q
     156: 2q^2+2q
     157: 4q^2+3q
     158: 2q^3+5q^2+3q
     159: 2q^2+2q
     160: q^2+3q
     161: q^2+3q
     162: q^3+3q^2+2q
     163: q^2+q
     164: q^2+2q
     165: q
     166: 2q^3+4q^2+2q
     167: q^3+2q^2+q
     168: q^2+2q
     169: q
     170: 4q^2+3q
     171: 3q^2+2q
     172: q^3+4q^2+3q
     174: 2q^2+3q
     175: 2q^2+2q
     176: 2q^2+3q
     178: 2q^2+3q
     179: 2q^2+2q
     180: 2q^2+3q
     182: 3q^2+3q
     183: 2q
     184: q^3+4q^2+3q
     185: 2q
     186: q
     188: q^2+q
     190: 2q^2+2q
     192: q^2+2q
     193: q^2+q
     194: 2q^2+2q
     195: q^2+q
     196: q^2+q
     197: q^2+q
     198: q^2+q
     199: q^2+q
     200: q^2+2q
     201: q^2+q
     202: q^2+2q
     203: q
     204: q^2+2q
     205: q
     206: 2q
     208: q^2+q
     210: 2q
     216: 2q^2+2q
     217: 3q^2+3q
     218: q^2+2q
     219: 3q^2+3q
     220: q^2+2q
     221: q^2+2q
     223: q^2+2q
     224: 2q
     225: 2q^2+3q
     226: q^2+2q
     228: q^2+2q
     229: 2q^2+3q
     230: 2q
     231: 2q
     232: 2q^2+2q
     234: q
     236: 2q^2+2q
     238: q
     240: 2q
     241: 2q^2+2q
     242: 2q^2+2q
     243: q^2+3q
     244: 3q^2+3q
     245: 2q
     246: q^3+4q^2+3q
     247: 2q
     248: 2q^2+3q
     249: 2q^2+2q
     250: 2q^2+3q
     252: 2q^2+3q
     253: 2q^2+2q
     254: 2q^2+3q
     256: 3q
     257: 2q
     258: q^2+3q
     262: q
     264: q
     266: 2q
     268: q
     270: q^2+2q
     271: q^2+q
     272: q^2+q
     274: q
     275: q
     276: q^2+q
     278: q
     279: q
     280: q
     282: q
     285: q^2+q
     286: q^2+2q
     287: q
     288: 2q
     290: q^2+q
     292: 2q
     297: q^2+2q
     298: q^2+2q
     299: 2q
     300: 2q
     301: 2q^2+2q
     303: q
     305: 2q^2+2q
     307: q
     311: q^2+2q
     312: 2q
     313: q
     314: 2q^2+3q
     315: q^2+2q
     316: 2q^2+2q
     319: q^2+2q
     320: 2q^2+3q
     321: q^2+2q
     322: 2q
     323: q
     324: 2q^2+2q
     325: 2q
     327: q
     329: 2q
     333: 2q
     335: 2q
     336: 2q
     337: 2q
     338: 3q
     339: 2q
     340: q^2+3q
     342: 3q
     343: 2q
     344: q^2+3q
     348: q
     352: 2q
     354: q
     356: q
     358: q
     360: q
     364: q
     366: q
     367: q
     368: q^2+q
     372: q
     374: q
     375: q
     376: q^2+q
     380: q
     382: q
     385: q
     389: q^2+q
     392: 2q
     394: 2q
     396: q
     398: 2q
     402: 2q
     404: q
     405: q^2+2q
     406: q
     407: 2q
     409: q^2+2q
     410: q
     411: q
     412: 2q
     413: 2q
     415: q
     417: 2q
     423: 2q
     424: 2q
     425: q
     426: 2q
     427: q
     428: 1
     429: 1
     430: q+1
     432: 3q
     433: 2q
     434: q^2+3q
     446: q
     448: q
     450: q
     458: q
     462: q
     468: q
     472: q
     476: q
     485: q
     487: q
     489: 1
     491: 1
     493: q+1
     497: 1
     499: 2q
     501: q
     503: 2q
     508: 2q
     509: 1
     512: q
     513: 2q
     514: q
     515: 1
     518: q
     519: 2q
     520: q
     522: q
     523: q
     525: 1
     526: 1
     527: q+1
     539: 1
     543: q
     549: 1
     559: q
     561: 1
     571: q
     576: 1
     586: q
     587: 1
     589: 1
     591: q+1
     597: 1
     599: 1
     600: 1
     602: q
     603: 1
     604: 1
     606: q
     618: 1
     631: 1
     640: 1
     641: 1
     645: 1
     651: 1
     655: 1
     662: 1
     686: 1
     690: 1
     698: 1
     704: 1
     718: 1
     723: 1
     731: 1
     762: 1

763:   0: q^2+2q+1
       1: q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^3+2q^2+2q+1
       5: q+1
       6: q+1
       7: q^2+q+1
       8: q^3+2q^2+2q+1
       9: q+1
      10: q^2+q+1
      11: q+1
      12: q^3+2q^2+2q+1
      13: q+1
      15: q+1
      16: q+1
      17: q^2+q+1
      18: q+1
      19: q+1
      20: q+1
      21: q^2+q+1
      23: q^2+2q+1
      24: q^3+2q^2+2q+1
      25: q+1
      26: q+1
      27: q^2+2q+1
      28: q+1
      29: q+1
      30: q^3+2q^2+2q+1
      31: q^2+2q+1
      32: q+1
      33: q^2+2q+1
      34: q+1
      35: q^2+2q+1
      36: q+1
      37: q^2+2q+1
      38: q+1
      39: q+1
      40: q+1
      41: q+1
      42: q+1
      43: q+1
      44: q^2+2q+1
      45: q+1
      46: q+1
      47: q^2+2q+1
      49: q^2+2q+1
      51: q+1
      53: q^2+2q+1
      55: q+1
      56: q+1
      57: q+1
      58: q^2+q+1
      60: q+1
      61: q^2+q+1
      62: q+1
      64: q^2+2q+1
      65: q+1
      66: q^3+2q^2+2q+1
      67: q+1
      68: q^2+2q+1
      69: q+1
      70: q^2+2q+1
      71: q+1
      72: q^2+2q+1
      73: q+1
      74: q^2+2q+1
      75: q+1
      77: q+1
      79: q+1
      81: q^2+2q+1
      83: q+1
      84: q+1
      85: q+1
      86: q^2+2q+1
      87: q^2+2q+1
      89: q^2+2q+1
      91: q+1
      93: q^2+2q+1
      95: q+1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     100: q+1
     101: q+1
     102: q+1
     103: q+1
     104: q+1
     105: q^2+q+1
     106: q+1
     108: q+1
     109: q+1
     110: q^2+q+1
     112: q^2+2q+1
     113: q+1
     114: q^2+2q+1
     115: q+1
     116: q^2+2q+1
     117: q+1
     118: q^2+2q+1
     119: q+1
     120: q+1
     121: 1
     122: q^2+2q+1
     123: 1
     125: q^2+2q+1
     127: q+1
     129: q+1
     131: q+1
     133: q+1
     135: q+1
     137: q^2+2q+1
     139: q+1
     141: q^2+2q+1
     143: q+1
     145: q+1
     146: q+1
     147: q+1
     148: q+1
     149: q+1
     150: q+1
     151: q+1
     152: q+1
     153: q^2+2q+1
     154: q+1
     155: q+1
     156: q+1
     157: q+1
     158: q^2+2q+1
     159: q+1
     160: 1
     161: 1
     163: q+1
     165: 1
     167: q^2+2q+1
     169: 1
     170: q+1
     171: q+1
     172: q^2+q+1
     174: q+1
     175: q+1
     176: q+1
     178: q+1
     179: q+1
     180: q+1
     182: q+1
     183: 1
     184: q^2+2q+1
     185: 1
     187: q+1
     189: q+1
     191: q^2+2q+1
     193: q+1
     195: q+1
     197: q+1
     199: q+1
     201: q+1
     203: 1
     205: 1
     207: q+1
     209: q+1
     211: q+1
     216: q+1
     217: q+1
     218: q+1
     219: q+1
     220: q+1
     221: q+1
     223: q+1
     224: 1
     225: q+1
     226: q+1
     228: q+1
     229: q+1
     230: 1
     231: 1
     233: q+1
     235: 1
     237: q^2+2q+1
     239: 1
     240: 1
     241: q+1
     242: q+1
     243: 1
     244: q+1
     245: 1
     246: q^2+2q+1
     247: 1
     248: q+1
     249: q+1
     250: q+1
     252: q+1
     253: q+1
     254: q+1
     256: 1
     257: 1
     258: q+1
     263: q+1
     265: q+1
     267: q+1
     269: q+1
     271: q+1
     273: q+1
     275: 1
     277: q+1
     279: 1
     281: 1
     283: 1
     285: q+1
     287: 1
     289: q+1
     291: q+1
     293: q+1
     297: q+1
     298: q+1
     299: 1
     300: 1
     302: q+1
     304: 1
     306: q^2+2q+1
     308: 1
     311: q+1
     312: 1
     313: 1
     314: q+1
     315: q+1
     316: q+1
     319: q+1
     320: q+1
     321: q+1
     322: 1
     323: 1
     324: q+1
     326: 1
     328: 1
     330: q+1
     333: 1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: q+1
     342: 1
     343: 1
     344: q+1
     349: q+1
     353: q+1
     355: q+1
     357: q+1
     359: 1
     361: 1
     363: 1
     365: 1
     367: 1
     369: q+1
     371: 1
     373: 1
     375: 1
     377: q+1
     381: 1
     383: 1
     385: 1
     387: q+1
     389: q+1
     392: 1
     395: 1
     397: 1
     399: q+1
     402: 1
     404: 1
     405: q+1
     406: 1
     407: 1
     409: q+1
     410: 1
     411: 1
     412: 1
     414: 1
     416: 1
     418: q+1
     423: 1
     424: 1
     425: 1
     426: 1
     427: 1
     428: 1
     429: 1
     430: q+1
     432: 1
     433: 1
     434: q+1
     440: q+1
     447: q+1
     449: 1
     451: 1
     455: 1
     457: 1
     459: 1
     461: 1
     463: 1
     465: 1
     467: 1
     469: 1
     471: 1
     473: 1
     477: 1
     481: 1
     483: 1
     485: 1
     487: 1
     490: 1
     492: 1
     494: q+1
     497: 1
     500: 1
     502: 1
     504: q+1
     508: 1
     509: 1
     512: 1
     513: 1
     514: 1
     515: 1
     518: 1
     519: 1
     520: 1
     522: 1
     523: 1
     525: 1
     526: 1
     527: q+1
     533: 1
     540: 1
     544: 1
     548: 1
     550: 1
     554: 1
     556: 1
     558: 1
     560: 1
     562: 1
     566: 1
     568: 1
     570: 1
     572: 1
     576: 1
     578: 1
     580: 1
     582: 1
     586: 1
     588: 1
     590: 1
     592: q+1
     597: 1
     599: 1
     600: 1
     602: 1
     603: 1
     604: 1
     606: 1
     619: 1
     625: 1
     632: 1
     636: 1
     638: 1
     640: 1
     642: 1
     646: 1
     650: 1
     652: 1
     656: 1
     660: 1
     662: 1
     666: 1
     686: 1
     690: 1
     699: 1
     705: 1
     716: 1
     718: 1
     724: 1
     732: 1
     763: 1

764:   0: q^2+q
       1: q^4+q
       2: q^2+q
       3: q^2+q
       4: q^3+q^2+q
       5: q^4+q
       6: q^4+q
       7: q
       8: q^3+q^2+q
       9: q^4+q
      10: q
      11: q^4+q
      12: q^3+q^2+q
      13: q^4+q
      15: q^4+q
      16: q^4+q
      17: q
      18: q^4+q
      19: q
      20: q
      21: q
      23: q^2+q
      24: q^3+q^2+q
      25: q^4+q
      26: q^4+q
      27: q^2+q
      28: q^4+q
      29: q^4+q
      30: q^3+q^2+q
      31: q^2+q
      32: q
      33: q^2+q
      34: q
      35: q^2+q
      36: q
      37: q^2+q
      38: q
      39: q^4+q
      40: q^4+q
      41: q
      42: q
      43: q
      44: q^2+q
      45: q
      46: q
      47: q^2+q
      49: q^2+q
      51: q
      53: q^2+q
      55: q
      56: q
      57: q
      58: q
      60: q
      61: q
      62: q
      64: q^2+q
      65: q^4+q
      66: q^3+q^2+q
      67: q^4+q
      68: q^2+q
      69: q
      70: q^2+q
      71: q
      72: q^2+q
      73: q
      74: q^2+q
      75: q
      77: q
      79: q
      81: q^2+q
      83: q
      84: q
      85: q^4+q
      86: q^2+q
      87: q^2+q
      89: q^2+q
      91: q
      93: q^2+q
      95: q
      96: q
      97: q
      98: q
      99: q
     100: q
     101: q
     102: q
     103: q
     104: q
     105: q
     106: q
     108: q
     109: q
     110: q
     112: q^2+q
     113: q
     114: q^2+q
     115: q
     116: q^2+q
     117: q
     118: q^2+q
     119: q
     120: q
     121: q
     122: q^2+q
     123: q
     125: q^2+q
     127: q
     129: q
     131: q
     133: q
     135: q
     137: q^2+q
     139: q
     141: q^2+q
     143: q
     145: q
     146: q
     147: q
     148: q
     149: q
     150: q
     151: q
     152: q
     153: q^2+q
     154: q
     155: q
     156: q
     157: q
     158: q^2+q
     159: q
     160: q
     161: q
     163: q
     165: q
     167: q^2+q
     169: q
     170: q
     171: q
     172: q
     174: q
     175: q
     176: q
     178: q
     179: q
     180: q
     182: q
     183: q
     184: q^2+q
     185: q
     187: q
     189: q
     191: q^2+q
     193: q
     195: q
     197: q
     199: q
     201: q
     203: q
     205: q
     207: q
     209: q
     211: q
     216: q
     217: q
     218: q
     219: q
     220: q
     221: q
     223: q
     224: q
     225: q
     226: q
     228: q
     229: q
     230: q
     231: q
     233: q
     235: q
     237: q^2+q
     239: q
     240: q
     241: q
     242: q
     243: q
     244: q
     245: q
     246: q^2+q
     247: q
     248: q
     249: q
     250: q
     252: q
     253: q
     254: q
     263: q
     265: q
     267: q
     269: q
     271: q
     273: q
     275: q
     277: q
     279: q
     281: q
     283: q
     285: q
     287: q
     289: q
     291: q
     293: q
     297: q
     298: q
     299: q
     300: q
     302: q
     304: q
     306: q^2+q
     308: q
     311: q
     312: q
     313: q
     314: q
     315: q
     316: q
     319: q
     320: q
     321: q
     322: q
     323: q
     324: q
     333: q
     349: q
     353: q
     355: q
     357: q
     359: q
     361: q
     363: q
     367: q
     369: q
     371: q
     375: q
     377: q
     383: q
     387: q
     389: q
     392: q
     404: q
     405: q
     406: q
     409: q
     410: q
     411: q
     440: q
     447: q
     451: q
     457: q
     461: q
     467: q
     471: q
     483: 1
     512: q
     518: q
     534: 1
     558: q
     570: q
     578: 1
     582: 1
     620: 1
     626: 1
     638: 1
     666: 1
     700: 1
     706: 1
     716: 1
     764: 1

765:   0: q^2+q+1
       1: q^2+q+1
       2: q^2+q+1
       3: 1
       4: q^2+q+1
       5: q^2+q+1
       6: 1
       7: q^2+q+1
       8: q^2+q+1
       9: 1
      10: q^2+q+1
      11: 1
      12: q^4+q^3+2q^2+q+1
      13: 1
      14: 1
      15: q^2+q+1
      16: 1
      17: q^2+q+1
      18: 1
      19: q^2+q+1
      20: 1
      21: q^2+q+1
      22: 1
      23: q^2+q+1
      24: q^2+q+1
      25: 1
      26: 1
      27: 1
      28: 1
      29: 1
      30: q^2+q+1
      31: q^2+q+1
      32: q^2+q+1
      33: q^2+q+1
      34: q^2+q+1
      35: q^2+q+1
      36: q^2+q+1
      37: q^2+q+1
      38: q^2+q+1
      39: 1
      40: 1
      41: 1
      42: q^2+q+1
      43: q^2+q+1
      44: q^2+q+1
      45: q^2+q+1
      46: q^2+q+1
      47: q^2+q+1
      48: q^2+q+1
      50: q^2+q+1
      52: q^2+q+1
      54: q^2+q+1
      56: q^2+q+1
      57: 1
      58: q^2+q+1
      59: 1
      60: q^2+q+1
      61: q^2+q+1
      62: 1
      63: 1
      64: 1
      65: 1
      66: q^2+q+1
      67: 1
      68: 1
      69: 1
      70: q^2+q+1
      71: 1
      72: 1
      73: 1
      74: q^2+q+1
      75: 1
      76: q^2+q+1
      78: q^2+q+1
      80: q^2+q+1
      82: 1
      83: 1
      84: 1
      85: 1
      86: 1
      87: 1
      88: 1
      90: 1
      92: q^2+q+1
      94: 1
      96: q^2+q+1
      97: q^2+q+1
      98: 1
      99: 1
     100: q^2+q+1
     101: q^2+q+1
     102: 1
     103: 1
     104: q^2+q+1
     105: q^2+q+1
     106: 1
     107: 1
     108: 1
     109: 1
     110: q^2+q+1
     111: 1
     112: 1
     113: 1
     114: q^2+q+1
     115: 1
     116: 1
     117: 1
     118: q^2+q+1
     119: 1
     120: 1
     121: 1
     122: q^2+q+1
     123: 1
     124: 1
     126: 1
     128: 1
     130: q^2+q+1
     132: q^2+q+1
     134: 1
     135: 1
     136: 1
     138: 1
     140: q^2+q+1
     142: 1
     144: 1
     145: 1
     146: 1
     147: 1
     148: q^2+q+1
     149: 1
     150: 1
     151: 1
     152: 1
     153: 1
     154: q^2+q+1
     155: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     161: 1
     162: 1
     164: 1
     166: q^2+q+1
     168: 1
     170: 1
     171: 1
     172: q^2+q+1
     173: 1
     174: 1
     175: 1
     176: q^2+q+1
     177: 1
     178: 1
     179: 1
     180: q^2+q+1
     181: 1
     182: 1
     183: 1
     184: q^2+q+1
     185: 1
     186: 1
     188: 1
     190: 1
     192: 1
     194: 1
     196: 1
     198: 1
     200: q^2+q+1
     202: 1
     204: 1
     206: 1
     208: 1
     210: q^2+q+1
     212: 1
     214: 1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     223: 1
     224: 1
     225: 1
     226: 1
     227: 1
     228: 1
     229: 1
     230: 1
     231: 1
     232: 1
     234: 1
     236: q^2+q+1
     238: 1
     240: 1
     241: 1
     242: 1
     243: 1
     244: 1
     246: 1
     248: 1
     249: 1
     250: q^2+q+1
     251: 1
     252: 1
     253: 1
     254: q^2+q+1
     255: 1
     256: 1
     257: 1
     258: q^2+q+1
     259: 1
     260: 1
     262: 1
     264: 1
     266: 1
     268: 1
     270: 1
     272: 1
     274: 1
     276: 1
     278: 1
     280: 1
     282: 1
     284: 1
     286: 1
     288: 1
     290: 1
     292: q^2+q+1
     294: 1
     296: 1
     297: 1
     298: 1
     301: 1
     305: 1
     309: 1
     310: 1
     311: 1
     312: 1
     313: 1
     314: 1
     315: 1
     316: 1
     317: 1
     318: 1
     319: 1
     320: 1
     321: 1
     322: 1
     323: 1
     324: 1
     325: 1
     327: 1
     329: q^2+q+1
     331: 1
     333: 1
     334: 1
     335: 1
     336: 1
     337: 1
     338: 1
     340: 1
     342: 1
     343: 1
     344: q^2+q+1
     345: 1
     346: 1
     348: 1
     350: 1
     352: 1
     354: 1
     356: 1
     362: 1
     364: 1
     366: 1
     368: 1
     370: 1
     372: 1
     374: 1
     376: 1
     378: 1
     380: 1
     382: 1
     384: 1
     386: 1
     388: 1
     390: 1
     391: 1
     394: 1
     398: 1
     403: 1
     404: 1
     405: 1
     407: 1
     408: 1
     409: 1
     410: 1
     412: 1
     413: 1
     415: 1
     417: q^2+q+1
     419: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     426: 1
     427: 1
     428: 1
     430: 1
     432: 1
     434: 1
     436: 1
     442: 1
     444: 1
     446: 1
     454: 1
     456: 1
     458: 1
     462: 1
     464: 1
     466: 1
     468: 1
     472: 1
     474: 1
     476: 1
     478: 1
     480: 1
     482: 1
     484: 1
     486: 1
     489: 1
     493: 1
     499: 1
     503: 1
     509: 1
     510: 1
     511: 1
     513: 1
     515: 1
     516: 1
     517: 1
     519: 1
     521: 1
     522: 1
     523: 1
     525: 1
     527: 1
     529: 1
     537: 1
     549: 1
     551: 1
     553: 1
     559: 1
     561: 1
     563: 1
     565: 1
     571: 1
     573: 1
     575: 1
     577: 1
     579: 1
     581: 1
     585: 1
     587: 1
     591: 1
     599: 1
     603: 1
     607: 1
     608: 1
     611: 1
     613: 1
     615: 1
     621: 1
     641: 1
     643: 1
     651: 1
     653: 1
     661: 1
     663: 1
     665: 1
     673: 1
     677: 1
     684: 1
     688: 1
     701: 1
     719: 1
     727: 1
     735: 1
     737: 1
     765: 1

766:   0: 2q^2+3q
       1: 2q^2+3q
       2: 2q^2+3q
       3: q^2+2q
       4: 2q^2+3q
       5: 2q^2+3q
       6: q^2+2q
       7: 2q^2+3q
       8: 2q^2+3q
       9: q^2+2q
      10: 2q^2+3q
      11: q^2+2q
      12: 2q^3+2q^2+2q
      13: q^2+2q
      14: q^2+2q
      15: 2q^2+3q
      16: q^2+2q
      17: 2q^2+3q
      18: q^2+2q
      19: 2q^2+3q
      20: q^2+2q
      21: 2q^2+3q
      22: q^2+2q
      23: 2q^2+3q
      24: 2q^2+3q
      25: q^2+2q
      26: q^2+2q
      27: 2q
      28: 2q
      29: 2q
      30: q^2+2q
      31: 2q^2+3q
      32: 2q^2+3q
      33: 2q^2+3q
      34: 2q^2+3q
      35: 2q^2+3q
      36: 2q^2+3q
      37: 2q^2+3q
      38: 2q^2+3q
      39: q^2+2q
      40: 2q
      41: 2q
      42: 2q^2+3q
      43: 2q^2+3q
      44: 2q^2+3q
      45: 2q^2+3q
      46: 2q^2+3q
      47: 2q^2+3q
      48: q^2+q
      49: q^2+2q
      50: q^2+q
      51: q^2+2q
      52: q^2+q
      53: q^2+2q
      54: q^2+q
      55: q^2+2q
      56: 2q^2+3q
      57: q^2+2q
      58: 2q^2+3q
      59: q^2+2q
      60: 2q^2+3q
      61: 2q^2+3q
      62: q^2+2q
      63: q^2+2q
      64: 2q
      65: 2q
      66: q^2+2q
      67: 2q
      68: 2q
      69: 2q
      70: q^2+2q
      71: 2q
      72: 2q
      73: 2q
      74: q^2+2q
      75: 2q
      76: q^2+q
      77: q^2+2q
      78: q^2+q
      79: q^2+2q
      80: q^2+q
      81: q^2+2q
      82: q^2+2q
      83: 2q
      84: 2q
      85: 2q
      86: q
      87: q
      89: q
      91: q
      93: q
      95: q
      96: 2q^2+3q
      97: 2q^2+3q
      98: 2q
      99: 2q
     100: 2q^2+3q
     101: 2q^2+3q
     102: 2q
     103: 2q
     104: 2q^2+3q
     105: 2q^2+3q
     106: q^2+2q
     107: q^2+2q
     108: 2q
     109: 2q
     110: q^2+2q
     111: 2q
     112: 2q
     113: 2q
     114: q^2+2q
     115: 2q
     116: 2q
     117: 2q
     118: q^2+2q
     119: 2q
     120: 2q
     121: 2q
     122: q^2+2q
     123: 2q
     127: q
     129: q
     130: q^2+q
     131: q^2+2q
     132: q^2+q
     133: q^2+2q
     134: q^2+2q
     135: 2q
     137: q
     139: q
     141: q
     143: q
     144: 2q
     145: 2q
     146: q
     147: q
     148: 2q^2+3q
     149: 2q
     150: 2q
     151: q
     152: 2q
     153: q
     154: 2q^2+3q
     155: 2q
     156: 2q
     157: 2q
     158: q
     159: q
     160: 2q
     161: 2q
     163: q
     165: q
     167: q
     169: q
     170: 2q
     171: 2q
     172: q^2+2q
     173: 2q
     174: 2q
     175: 2q
     176: q^2+2q
     177: 2q
     178: 2q
     179: 2q
     180: q^2+2q
     181: 2q
     182: 2q
     183: 2q
     184: q^2+2q
     185: 2q
     187: q
     189: q
     195: q
     200: q^2+q
     201: q^2+2q
     203: q
     205: q
     207: q
     209: q
     211: q
     213: q
     214: 2q
     215: 2q
     216: 2q
     217: q
     218: q
     219: q
     220: q
     221: 2q
     222: 2q
     223: 2q
     224: q
     225: q
     226: 2q
     227: 2q
     228: 2q
     229: q
     230: q
     231: 2q
     233: q
     235: q
     237: q
     239: q
     240: 2q
     241: q
     242: q
     243: 2q
     244: 1
     246: 1
     248: 2q
     249: 2q
     250: q^2+2q
     251: 2q
     252: 2q
     253: 2q
     254: q^2+2q
     255: 2q
     256: 2q
     257: 2q
     258: q^2+2q
     259: 2q
     261: q
     263: q
     265: q
     281: q
     283: q
     287: q
     289: q
     291: q
     293: q
     295: q
     296: 2q
     297: q
     298: q
     302: 1
     306: 1
     309: 2q
     310: 2q
     311: 2q
     312: q
     313: q
     314: q
     315: q
     316: 1
     317: 2q
     318: 2q
     319: 2q
     320: q
     321: q
     322: q
     323: q
     324: 1
     326: q
     328: q
     330: q
     332: q
     333: 2q
     334: 2q
     335: 2q
     336: q
     337: q
     338: 1
     340: 1
     342: 2q
     343: 2q
     344: q^2+2q
     345: 2q
     347: q
     349: q
     351: q
     369: 1
     377: 1
     379: q
     381: q
     383: q
     388: 1
     390: q
     391: q
     395: 1
     399: 1
     403: 2q
     404: q
     405: q
     407: 1
     408: 2q
     409: q
     410: q
     412: 1
     414: q
     416: q
     418: q
     420: q
     421: 2q
     422: 2q
     423: 2q
     424: q
     425: q
     426: q
     427: q
     428: 1
     430: 1
     432: 1
     434: 1
     437: 1
     443: q
     463: 1
     473: 1
     475: q
     477: q
     479: q
     486: 1
     490: 1
     494: 1
     500: 1
     504: 1
     509: 1
     510: q
     511: q
     513: 1
     515: 1
     516: q
     517: q
     519: 1
     521: 2q
     522: q
     523: q
     525: 1
     527: 1
     530: 1
     550: 1
     560: 1
     562: 1
     572: 1
     574: q
     575: 1
     585: 1
     588: 1
     592: 1
     599: 1
     603: 1
     607: q
     608: q
     611: 1
     613: 1
     616: 1
     622: 1
     642: 1
     652: 1
     661: 1
     674: 1
     678: 1
     684: 1
     688: 1
     702: 1
     720: 1
     728: 1
     735: 1
     766: 1

767:   0: q^3+2q^2+q
       1: q^3+2q^2+q
       2: q^3+2q^2+q
       3: q^4+q^3+q^2+q
       4: q^3+2q^2+q
       5: q^5+q^3+q^2+q
       6: q^4+q^3+q^2+q
       7: q^3+2q^2+q
       8: q^3+2q^2+q
       9: q^3+q
      10: q^2+q
      11: q^4+q^3+q^2+q
      12: q^4+2q^3+2q^2+q
      13: q^3+q
      14: q^3+q
      15: q^3+q^2+q
      16: q^3+q
      17: q^2+q
      18: q^3+q
      19: q^3+2q^2+q
      20: q^4+q^3+q^2+q
      21: q^3+2q^2+q
      22: q^3+q
      23: q^3+2q^2+q
      24: q^3+2q^2+q
      25: q^4+q^3+q^2+q
      26: q^3+q
      27: q^3+q^2+q
      28: q^3+q^2+q
      29: q^3+q
      30: q^3+2q^2+q
      31: 2q^2+q
      32: 2q^2+q
      33: 2q^2+q
      34: q^2+q
      35: 2q^2+q
      36: 2q^2+q
      37: 2q^2+q
      38: q^2+q
      39: q^3+q
      40: q^3+q
      41: q^3+q^2+q
      42: q^2+q
      43: 2q^2+q
      44: 2q^2+q
      45: q^2+q
      46: 2q^2+q
      47: 2q^2+q
      48: 2q^2+q
      50: 2q^2+q
      52: 2q^2+q
      54: q^2+q
      56: q^3+q^2+q
      57: q^3+q
      58: q^2+q
      59: q^3+q
      60: q^3+2q^2+q
      61: q^3+2q^2+q
      62: q^4+q^3+q^2+q
      63: q^3+q
      64: q^3+q^2+q
      65: q^3+q^2+q
      66: q^3+2q^2+q
      67: q^3+q
      68: q^2+q
      69: q^2+q
      70: 2q^2+q
      71: q
      72: q^2+q
      73: q^2+q
      74: 2q^2+q
      75: q
      76: q^2+q
      78: 2q^2+q
      80: 2q^2+q
      82: q^3+q
      83: q^3+q^2+q
      84: q^3+q
      85: q^3+q
      86: q^2+q
      87: q^2+q
      88: q^2+q
      90: q^2+q
      92: 2q^2+q
      94: q
      96: q^2+q
      97: 2q^2+q
      98: q
      99: q^2+q
     100: q^2+q
     101: 2q^2+q
     102: q
     103: q^2+q
     104: q^3+q^2+q
     105: q^2+q
     106: q^3+q
     107: q^3+q
     108: q^3+q^2+q
     109: q^3+q^2+q
     110: q^3+2q^2+q
     111: q^3+q
     112: q^2+q
     113: q^2+q
     114: 2q^2+q
     115: q
     116: q^2+q
     117: q^2+q
     118: 2q^2+q
     119: q
     120: q
     121: q
     122: q^2+q
     123: q
     124: q^2+q
     126: q
     128: q^2+q
     130: q^2+q
     132: 2q^2+q
     134: q^3+q
     135: q^3+q
     136: q^2+q
     138: q^2+q
     140: 2q^2+q
     142: q
     144: q^3+q
     145: q^3+q^2+q
     146: q^2+q
     147: q^2+q
     148: q^2+q
     149: q^2+q
     150: q
     151: q
     152: q
     153: q^2+q
     154: q^2+q
     155: q^2+q
     156: q
     157: q
     158: q^2+q
     159: q
     160: q
     161: q
     162: q
     164: q
     166: q^2+q
     168: q
     170: q
     171: q
     172: q^2+q
     173: q
     174: q^2+q
     175: q^2+q
     176: 2q^2+q
     177: q
     178: q^2+q
     179: q^2+q
     180: 2q^2+q
     181: q
     182: q
     183: q
     184: q^2+q
     185: q
     186: q^2+q
     188: q
     190: q^2+q
     192: q^2+q
     194: q
     196: q
     198: q
     200: q^2+q
     202: q
     204: q
     206: q^2+q
     208: q^2+q
     210: 2q^2+q
     212: q
     214: q^3+q
     215: q
     216: q
     217: q
     218: q^2+q
     219: q
     220: q^2+q
     221: q
     222: q
     223: q^2+q
     224: q
     225: q^2+q
     226: q
     227: q
     228: q^2+q
     229: q^2+q
     230: q
     231: q
     232: q
     234: q
     236: q^2+q
     238: q
     240: q
     241: q
     242: q
     243: q
     248: q
     249: q
     250: q^2+q
     251: q
     252: q
     253: q
     254: q^2+q
     255: q
     256: q
     257: q
     258: q^2+q
     259: q
     260: q
     262: q^2+q
     264: q
     266: q^2+q
     268: q^2+q
     270: q
     272: q
     274: q
     276: q
     278: q
     280: q
     282: q
     284: q
     286: q
     288: q
     290: q
     292: q^2+q
     294: q
     296: q
     297: q
     298: q
     309: q
     310: q
     311: q
     312: q
     313: q
     314: q
     315: q^2+q
     317: q
     318: q
     319: q
     320: q
     321: q^2+q
     322: q
     323: q
     325: q
     327: q
     329: q^2+q
     331: q
     333: q
     334: q
     335: q
     336: q
     337: q
     346: q
     348: q
     350: q
     352: q
     354: q^2+q
     356: q
     362: q
     364: q
     366: q
     370: q
     372: q
     374: q
     378: q
     380: q
     382: q
     384: q
     386: q
     390: q
     391: q
     403: q
     404: q
     405: q
     408: q
     409: q
     410: q
     421: q
     425: q
     427: q
     442: q
     444: q
     446: q
     454: q
     456: q
     464: q
     466: q
     478: q
     480: q
     482: q
     510: q
     511: q
     516: q
     517: q
     537: q
     551: q
     563: q
     577: q
     581: 1
     623: 1
     665: 1
     703: 1
     737: 1
     767: 1

768:   0: 2q^2+3q
       1: 2q^2+3q
       2: 2q^2+3q
       3: q^2+2q
       4: 2q^2+3q
       5: 2q^2+3q
       6: q^2+2q
       7: 2q^2+3q
       8: 2q^2+3q
       9: q^2+2q
      10: 2q^2+3q
      11: q^2+2q
      12: 2q^3+2q^2+2q
      13: q^2+2q
      14: q^2+2q
      15: 2q^2+3q
      16: q^2+2q
      17: 2q^2+3q
      18: q^2+2q
      19: 2q^2+3q
      20: q^2+2q
      21: 2q^2+3q
      22: q^2+2q
      23: 2q^2+3q
      24: 2q^2+3q
      25: q^2+2q
      26: q^2+2q
      27: 2q
      28: 2q
      29: 2q
      30: q^2+2q
      31: 2q^2+3q
      32: 2q^2+3q
      33: 2q^2+3q
      34: 2q^2+3q
      35: 2q^2+3q
      36: 2q^2+3q
      37: 2q^2+3q
      38: 2q^2+3q
      39: q^2+2q
      40: 2q
      41: 2q
      42: 2q^2+3q
      43: 2q^2+3q
      44: 2q^2+3q
      45: 2q^2+3q
      46: 2q^2+3q
      47: 2q^2+3q
      48: q^2+2q
      49: q^2+q
      50: q^2+2q
      51: q^2+q
      52: q^2+2q
      53: q^2+q
      54: q^2+2q
      55: q^2+q
      56: 2q^2+3q
      57: q^2+2q
      58: 2q^2+3q
      59: q^2+2q
      60: 2q^2+3q
      61: 2q^2+3q
      62: q^2+2q
      63: q^2+2q
      64: 2q
      65: 2q
      66: q^2+2q
      67: 2q
      68: 2q
      69: 2q
      70: q^2+2q
      71: 2q
      72: 2q
      73: 2q
      74: q^2+2q
      75: 2q
      76: q^2+2q
      77: q^2+q
      78: q^2+2q
      79: q^2+q
      80: q^2+2q
      81: q^2+q
      82: q^2+2q
      83: 2q
      84: 2q
      85: 2q
      86: q
      87: q
      88: q
      90: q
      92: q
      94: q
      96: 2q^2+3q
      97: 2q^2+3q
      98: 2q
      99: 2q
     100: 2q^2+3q
     101: 2q^2+3q
     102: 2q
     103: 2q
     104: 2q^2+3q
     105: 2q^2+3q
     106: q^2+2q
     107: q^2+2q
     108: 2q
     109: 2q
     110: q^2+2q
     111: 2q
     112: 2q
     113: 2q
     114: q^2+2q
     115: 2q
     116: 2q
     117: 2q
     118: q^2+2q
     119: 2q
     120: 2q
     121: 2q
     122: q^2+2q
     123: 2q
     126: q
     128: q
     130: q^2+2q
     131: q^2+q
     132: q^2+2q
     133: q^2+q
     134: q^2+2q
     135: 2q
     136: q
     138: q
     140: q
     142: q
     144: 2q
     145: 2q
     146: q
     147: q
     148: 2q^2+3q
     149: 2q
     150: 2q
     151: q
     152: 2q
     153: q
     154: 2q^2+3q
     155: 2q
     156: 2q
     157: 2q
     158: q
     159: q
     160: 2q
     161: 2q
     162: q
     164: q
     166: q
     168: q
     170: 2q
     171: 2q
     172: q^2+2q
     173: 2q
     174: 2q
     175: 2q
     176: q^2+2q
     177: 2q
     178: 2q
     179: 2q
     180: q^2+2q
     181: 2q
     182: 2q
     183: 2q
     184: q^2+2q
     185: 2q
     186: q
     188: q
     194: q
     200: q^2+2q
     201: q^2+q
     202: q
     204: q
     206: q
     208: q
     210: q
     212: q
     214: 2q
     215: 2q
     216: 2q
     217: q
     218: q
     219: q
     220: q
     221: 2q
     222: 2q
     223: 2q
     224: q
     225: q
     226: 2q
     227: 2q
     228: 2q
     229: q
     230: q
     231: 2q
     232: q
     234: q
     236: q
     238: q
     240: 2q
     241: q
     242: q
     243: 2q
     244: 1
     246: 1
     248: 2q
     249: 2q
     250: q^2+2q
     251: 2q
     252: 2q
     253: 2q
     254: q^2+2q
     255: 2q
     256: 2q
     257: 2q
     258: q^2+2q
     259: 2q
     260: q
     262: q
     264: q
     280: q
     282: q
     286: q
     288: q
     290: q
     292: q
     294: q
     296: 2q
     297: q
     298: q
     301: 1
     305: 1
     309: 2q
     310: 2q
     311: 2q
     312: q
     313: q
     314: q
     315: q
     316: 1
     317: 2q
     318: 2q
     319: 2q
     320: q
     321: q
     322: q
     323: q
     324: 1
     325: q
     327: q
     329: q
     331: q
     333: 2q
     334: 2q
     335: 2q
     336: q
     337: q
     338: 1
     340: 1
     342: 2q
     343: 2q
     344: q^2+2q
     345: 2q
     346: q
     348: q
     350: q
     368: 1
     376: 1
     378: q
     380: q
     382: q
     389: 1
     390: q
     391: q
     394: 1
     398: 1
     403: 2q
     404: q
     405: q
     407: 1
     408: 2q
     409: q
     410: q
     412: 1
     413: q
     415: q
     417: q
     419: q
     421: 2q
     422: 2q
     423: 2q
     424: q
     425: q
     426: q
     427: q
     428: 1
     430: 1
     432: 1
     434: 1
     439: 1
     442: q
     462: 1
     472: 1
     474: q
     476: q
     478: q
     487: 1
     489: 1
     493: 1
     499: 1
     503: 1
     509: 1
     510: q
     511: q
     513: 1
     515: 1
     516: q
     517: q
     519: 1
     521: 2q
     522: q
     523: q
     525: 1
     527: 1
     532: 1
     549: 1
     559: 1
     561: 1
     571: 1
     573: q
     576: 1
     586: 1
     587: 1
     591: 1
     599: 1
     603: 1
     607: q
     608: q
     611: 1
     613: 1
     618: 1
     624: 1
     641: 1
     651: 1
     662: 1
     673: 1
     677: 1
     684: 1
     688: 1
     704: 1
     719: 1
     727: 1
     736: 1
     768: 1

769:   0: q^2+q+1
       1: q^2+q+1
       2: q^2+q+1
       3: 1
       4: q^2+q+1
       5: q^2+q+1
       6: 1
       7: q^2+q+1
       8: q^2+q+1
       9: 1
      10: q^2+q+1
      11: 1
      12: q^4+q^3+2q^2+q+1
      13: 1
      14: 1
      15: q^2+q+1
      16: 1
      17: q^2+q+1
      18: 1
      19: q^2+q+1
      20: 1
      21: q^2+q+1
      22: 1
      23: q^2+q+1
      24: q^2+q+1
      25: 1
      26: 1
      27: 1
      28: 1
      29: 1
      30: q^2+q+1
      31: q^2+q+1
      32: q^2+q+1
      33: q^2+q+1
      34: q^2+q+1
      35: q^2+q+1
      36: q^2+q+1
      37: q^2+q+1
      38: q^2+q+1
      39: 1
      40: 1
      41: 1
      42: q^2+q+1
      43: q^2+q+1
      44: q^2+q+1
      45: q^2+q+1
      46: q^2+q+1
      47: q^2+q+1
      49: q^2+q+1
      51: q^2+q+1
      53: q^2+q+1
      55: q^2+q+1
      56: q^2+q+1
      57: 1
      58: q^2+q+1
      59: 1
      60: q^2+q+1
      61: q^2+q+1
      62: 1
      63: 1
      64: 1
      65: 1
      66: q^2+q+1
      67: 1
      68: 1
      69: 1
      70: q^2+q+1
      71: 1
      72: 1
      73: 1
      74: q^2+q+1
      75: 1
      77: q^2+q+1
      79: q^2+q+1
      81: q^2+q+1
      82: 1
      83: 1
      84: 1
      85: 1
      86: 1
      87: 1
      89: 1
      91: 1
      93: q^2+q+1
      95: 1
      96: q^2+q+1
      97: q^2+q+1
      98: 1
      99: 1
     100: q^2+q+1
     101: q^2+q+1
     102: 1
     103: 1
     104: q^2+q+1
     105: q^2+q+1
     106: 1
     107: 1
     108: 1
     109: 1
     110: q^2+q+1
     111: 1
     112: 1
     113: 1
     114: q^2+q+1
     115: 1
     116: 1
     117: 1
     118: q^2+q+1
     119: 1
     120: 1
     121: 1
     122: q^2+q+1
     123: 1
     125: 1
     127: 1
     129: 1
     131: q^2+q+1
     133: q^2+q+1
     134: 1
     135: 1
     137: 1
     139: 1
     141: q^2+q+1
     143: 1
     144: 1
     145: 1
     146: 1
     147: 1
     148: q^2+q+1
     149: 1
     150: 1
     151: 1
     152: 1
     153: 1
     154: q^2+q+1
     155: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     161: 1
     163: 1
     165: 1
     167: q^2+q+1
     169: 1
     170: 1
     171: 1
     172: q^2+q+1
     173: 1
     174: 1
     175: 1
     176: q^2+q+1
     177: 1
     178: 1
     179: 1
     180: q^2+q+1
     181: 1
     182: 1
     183: 1
     184: q^2+q+1
     185: 1
     187: 1
     189: 1
     191: 1
     193: 1
     195: 1
     197: 1
     199: 1
     201: q^2+q+1
     203: 1
     205: 1
     207: 1
     209: 1
     211: q^2+q+1
     213: 1
     214: 1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     223: 1
     224: 1
     225: 1
     226: 1
     227: 1
     228: 1
     229: 1
     230: 1
     231: 1
     233: 1
     235: 1
     237: q^2+q+1
     239: 1
     240: 1
     241: 1
     242: 1
     243: 1
     244: 1
     246: 1
     248: 1
     249: 1
     250: q^2+q+1
     251: 1
     252: 1
     253: 1
     254: q^2+q+1
     255: 1
     256: 1
     257: 1
     258: q^2+q+1
     259: 1
     261: 1
     263: 1
     265: 1
     267: 1
     269: 1
     271: 1
     273: 1
     275: 1
     277: 1
     279: 1
     281: 1
     283: 1
     285: 1
     287: 1
     289: 1
     291: 1
     293: q^2+q+1
     295: 1
     296: 1
     297: 1
     298: 1
     302: 1
     306: 1
     309: 1
     310: 1
     311: 1
     312: 1
     313: 1
     314: 1
     315: 1
     316: 1
     317: 1
     318: 1
     319: 1
     320: 1
     321: 1
     322: 1
     323: 1
     324: 1
     326: 1
     328: 1
     330: q^2+q+1
     332: 1
     333: 1
     334: 1
     335: 1
     336: 1
     337: 1
     338: 1
     340: 1
     342: 1
     343: 1
     344: q^2+q+1
     345: 1
     347: 1
     349: 1
     351: 1
     353: 1
     355: 1
     357: 1
     363: 1
     365: 1
     367: 1
     369: 1
     371: 1
     373: 1
     375: 1
     377: 1
     379: 1
     381: 1
     383: 1
     385: 1
     387: 1
     389: 1
     390: 1
     391: 1
     395: 1
     399: 1
     403: 1
     404: 1
     405: 1
     407: 1
     408: 1
     409: 1
     410: 1
     412: 1
     414: 1
     416: 1
     418: q^2+q+1
     420: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     426: 1
     427: 1
     428: 1
     430: 1
     432: 1
     434: 1
     440: 1
     443: 1
     445: 1
     447: 1
     455: 1
     457: 1
     459: 1
     463: 1
     465: 1
     467: 1
     469: 1
     473: 1
     475: 1
     477: 1
     479: 1
     481: 1
     483: 1
     485: 1
     487: 1
     490: 1
     494: 1
     500: 1
     504: 1
     509: 1
     510: 1
     511: 1
     513: 1
     515: 1
     516: 1
     517: 1
     519: 1
     521: 1
     522: 1
     523: 1
     525: 1
     527: 1
     533: 1
     538: 1
     550: 1
     552: 1
     554: 1
     560: 1
     562: 1
     564: 1
     566: 1
     572: 1
     574: 1
     576: 1
     578: 1
     580: 1
     582: 1
     586: 1
     588: 1
     592: 1
     599: 1
     603: 1
     607: 1
     608: 1
     611: 1
     613: 1
     619: 1
     625: 1
     642: 1
     644: 1
     652: 1
     654: 1
     662: 1
     664: 1
     666: 1
     674: 1
     678: 1
     684: 1
     688: 1
     705: 1
     720: 1
     728: 1
     736: 1
     738: 1
     769: 1

770:   0: q^3+2q^2+q
       1: q^3+2q^2+q
       2: q^3+2q^2+q
       3: q^4+q^3+q^2+q
       4: q^3+2q^2+q
       5: q^5+q^3+q^2+q
       6: q^4+q^3+q^2+q
       7: q^3+2q^2+q
       8: q^3+2q^2+q
       9: q^3+q
      10: q^2+q
      11: q^4+q^3+q^2+q
      12: q^4+2q^3+2q^2+q
      13: q^3+q
      14: q^3+q
      15: q^3+q^2+q
      16: q^3+q
      17: q^2+q
      18: q^3+q
      19: q^3+2q^2+q
      20: q^4+q^3+q^2+q
      21: q^3+2q^2+q
      22: q^3+q
      23: q^3+2q^2+q
      24: q^3+2q^2+q
      25: q^4+q^3+q^2+q
      26: q^3+q
      27: q^3+q^2+q
      28: q^3+q^2+q
      29: q^3+q
      30: q^3+2q^2+q
      31: 2q^2+q
      32: 2q^2+q
      33: 2q^2+q
      34: q^2+q
      35: 2q^2+q
      36: 2q^2+q
      37: 2q^2+q
      38: q^2+q
      39: q^3+q
      40: q^3+q
      41: q^3+q^2+q
      42: q^2+q
      43: 2q^2+q
      44: 2q^2+q
      45: q^2+q
      46: 2q^2+q
      47: 2q^2+q
      49: 2q^2+q
      51: 2q^2+q
      53: 2q^2+q
      55: q^2+q
      56: q^3+q^2+q
      57: q^3+q
      58: q^2+q
      59: q^3+q
      60: q^3+2q^2+q
      61: q^3+2q^2+q
      62: q^4+q^3+q^2+q
      63: q^3+q
      64: q^3+q^2+q
      65: q^3+q^2+q
      66: q^3+2q^2+q
      67: q^3+q
      68: q^2+q
      69: q^2+q
      70: 2q^2+q
      71: q
      72: q^2+q
      73: q^2+q
      74: 2q^2+q
      75: q
      77: q^2+q
      79: 2q^2+q
      81: 2q^2+q
      82: q^3+q
      83: q^3+q^2+q
      84: q^3+q
      85: q^3+q
      86: q^2+q
      87: q^2+q
      89: q^2+q
      91: q^2+q
      93: 2q^2+q
      95: q
      96: q^2+q
      97: 2q^2+q
      98: q
      99: q^2+q
     100: q^2+q
     101: 2q^2+q
     102: q
     103: q^2+q
     104: q^3+q^2+q
     105: q^2+q
     106: q^3+q
     107: q^3+q
     108: q^3+q^2+q
     109: q^3+q^2+q
     110: q^3+2q^2+q
     111: q^3+q
     112: q^2+q
     113: q^2+q
     114: 2q^2+q
     115: q
     116: q^2+q
     117: q^2+q
     118: 2q^2+q
     119: q
     120: q
     121: q
     122: q^2+q
     123: q
     125: q^2+q
     127: q
     129: q^2+q
     131: q^2+q
     133: 2q^2+q
     134: q^3+q
     135: q^3+q
     137: q^2+q
     139: q^2+q
     141: 2q^2+q
     143: q
     144: q^3+q
     145: q^3+q^2+q
     146: q^2+q
     147: q^2+q
     148: q^2+q
     149: q^2+q
     150: q
     151: q
     152: q
     153: q^2+q
     154: q^2+q
     155: q^2+q
     156: q
     157: q
     158: q^2+q
     159: q
     160: q
     161: q
     163: q
     165: q
     167: q^2+q
     169: q
     170: q
     171: q
     172: q^2+q
     173: q
     174: q^2+q
     175: q^2+q
     176: 2q^2+q
     177: q
     178: q^2+q
     179: q^2+q
     180: 2q^2+q
     181: q
     182: q
     183: q
     184: q^2+q
     185: q
     187: q^2+q
     189: q
     191: q^2+q
     193: q^2+q
     195: q
     197: q
     199: q
     201: q^2+q
     203: q
     205: q
     207: q^2+q
     209: q^2+q
     211: 2q^2+q
     213: q
     214: q^3+q
     215: q
     216: q
     217: q
     218: q^2+q
     219: q
     220: q^2+q
     221: q
     222: q
     223: q^2+q
     224: q
     225: q^2+q
     226: q
     227: q
     228: q^2+q
     229: q^2+q
     230: q
     231: q
     233: q
     235: q
     237: q^2+q
     239: q
     240: q
     241: q
     242: q
     243: q
     248: q
     249: q
     250: q^2+q
     251: q
     252: q
     253: q
     254: q^2+q
     255: q
     256: q
     257: q
     258: q^2+q
     259: q
     261: q
     263: q^2+q
     265: q
     267: q^2+q
     269: q^2+q
     271: q
     273: q
     275: q
     277: q
     279: q
     281: q
     283: q
     285: q
     287: q
     289: q
     291: q
     293: q^2+q
     295: q
     296: q
     297: q
     298: q
     309: q
     310: q
     311: q
     312: q
     313: q
     314: q
     315: q^2+q
     317: q
     318: q
     319: q
     320: q
     321: q^2+q
     322: q
     323: q
     326: q
     328: q
     330: q^2+q
     332: q
     333: q
     334: q
     335: q
     336: q
     337: q
     347: q
     349: q
     351: q
     353: q
     355: q^2+q
     357: q
     363: q
     365: q
     367: q
     371: q
     373: q
     375: q
     379: q
     381: q
     383: q
     385: q
     387: q
     390: q
     391: q
     403: q
     404: q
     405: q
     408: q
     409: q
     410: q
     421: q
     425: q
     427: q
     443: q
     445: q
     447: q
     455: q
     457: q
     465: q
     467: q
     479: q
     481: q
     483: q
     510: q
     511: q
     516: q
     517: q
     538: q
     552: q
     564: q
     578: q
     582: 1
     626: 1
     666: 1
     706: 1
     738: 1
     770: 1

771:   0: 1
       1: 1
       2: 1
       3: 1
       4: 1
       6: 1
       7: 1
       8: 1
      11: 1
      12: 1
      19: 1
      20: 1
      21: 1
      23: 1
      24: 1
      25: 1
      27: 1
      28: 1
      30: 1
      31: 1
      32: 1
      33: 1
      35: 1
      36: 1
      37: 1
      41: 1
      43: 1
      44: 1
      46: 1
      47: 1
      48: 1
      50: 1
      52: 1
      60: 1
      61: 1
      62: 1
      64: 1
      65: 1
      66: 1
      68: 1
      69: 1
      70: 1
      72: 1
      73: 1
      74: 1
      78: 1
      80: 1
      83: 1
      86: 1
      87: 1
      88: 1
      90: 1
      92: 1
      97: 1
      99: 1
     101: 1
     103: 1
     108: 1
     109: 1
     110: 1
     112: 1
     113: 1
     114: 1
     116: 1
     117: 1
     118: 1
     120: 1
     121: 1
     122: 1
     124: 1
     128: 1
     132: 1
     136: 1
     138: 1
     140: 1
     145: 1
     146: 1
     147: 1
     149: 1
     151: 1
     153: 1
     155: 1
     158: 1
     159: 1
     161: 1
     162: 1
     164: 1
     166: 1
     174: 1
     175: 1
     176: 1
     178: 1
     179: 1
     180: 1
     182: 1
     183: 1
     184: 1
     186: 1
     190: 1
     192: 1
     196: 1
     198: 1
     204: 1
     206: 1
     208: 1
     210: 1
     218: 1
     220: 1
     223: 1
     224: 1
     225: 1
     228: 1
     229: 1
     230: 1
     231: 1
     232: 1
     234: 1
     236: 1
     241: 1
     242: 1
     244: 1
     245: 1
     246: 1
     256: 1
     257: 1
     258: 1
     262: 1
     266: 1
     268: 1
     272: 1
     274: 1
     276: 1
     278: 1
     280: 1
     284: 1
     299: 1
     301: 1
     303: 1
     305: 1
     313: 1
     315: 1
     316: 1
     321: 1
     323: 1
     324: 1
     325: 1
     327: 1
     329: 1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: 1
     354: 1
     358: 1
     362: 1
     364: 1
     368: 1
     370: 1
     372: 1
     376: 1
     380: 1
     384: 1
     386: 1
     388: 1
     394: 1
     396: 1
     398: 1
     402: 1
     406: 1
     407: 1
     411: 1
     412: 1
     425: 1
     427: 1
     428: 1
     429: 1
     430: 1
     436: 1
     448: 1
     454: 1
     460: 1
     462: 1
     464: 1
     470: 1
     472: 1
     480: 1
     482: 1
     486: 1
     489: 1
     491: 1
     493: 1
     497: 1
     509: 1
     514: 1
     515: 1
     520: 1
     524: 1
     529: 1
     539: 1
     547: 1
     549: 1
     555: 1
     561: 1
     567: 1
     575: 1
     577: 1
     583: 1
     600: 1
     604: 1
     610: 1
     615: 1
     637: 1
     639: 1
     645: 1
     655: 1
     667: 1
     671: 1
     693: 1
     695: 1
     743: 1
     747: 1
     749: 1
     771: 1

772:   0: q^2+2q
       1: q^2+2q
       2: q^2+2q
       3: q^2+2q
       4: q^2+2q
       6: q^2+2q
       7: q^2+2q
       8: q^2+2q
      11: q^3+q^2+q
      12: q^2+2q
      19: q^2+2q
      20: q^2+2q
      21: q^2+2q
      23: 2q
      24: 2q
      25: q^2+q
      27: q^2+2q
      28: q^2+2q
      30: q^2+2q
      31: q^2+2q
      32: q^2+2q
      33: q^2+2q
      35: q^2+2q
      36: q^2+2q
      37: q^2+2q
      41: q^2+2q
      43: q^2+2q
      44: 2q
      46: q^2+2q
      47: 2q
      48: q
      49: q^2+q
      50: q
      51: q^2+q
      52: q
      53: q^2+q
      60: 2q
      61: 2q
      62: q^2+q
      64: 2q
      65: q^2+q
      66: 2q
      68: q^2+2q
      69: q^2+2q
      70: q^2+2q
      72: q^2+2q
      73: q^2+2q
      74: q^2+2q
      78: q
      79: q^2+q
      80: q
      81: q
      83: q
      86: 2q
      87: 2q
      88: q
      89: q^2+q
      90: q
      91: q^2+q
      92: q
      93: q^2+q
      97: 2q
      99: q^2+2q
     101: 2q
     103: q^2+2q
     108: 2q
     109: q^2+q
     110: 2q
     112: 2q
     113: q^2+q
     114: 2q
     116: 2q
     117: q^2+q
     118: 2q
     120: q^2+2q
     121: q^2+2q
     122: q^2+2q
     124: q
     125: q
     128: q
     129: q^2+q
     132: q
     133: q
     137: q
     139: q^2
     141: q
     145: q
     146: 2q
     147: 2q
     149: q
     151: 2q
     153: 2q
     155: q
     158: 2q
     159: 2q
     161: q^2+2q
     162: q
     163: q^2+q
     164: q
     165: q^2+q
     166: q
     167: q^2+q
     174: 2q
     175: q^2+q
     176: 2q
     178: 2q
     179: q^2+q
     180: 2q
     182: 2q
     183: q^2+q
     184: 2q
     191: q
     192: q
     193: q
     196: q
     197: q
     198: q
     199: q
     204: q
     205: q^2+q
     207: q
     209: q^2
     211: q
     218: q
     220: q
     223: q
     224: 2q
     225: 2q
     228: q
     229: 2q
     230: 2q
     231: q
     233: q
     235: q^2
     237: q
     241: 2q
     242: 2q
     244: 2q
     245: q^2+q
     246: 2q
     256: 2q
     257: q^2+q
     258: 2q
     267: q
     273: q
     274: q
     275: q
     277: q
     278: q
     279: q
     284: q
     285: q
     299: q
     302: q
     304: q^2
     306: q
     313: q
     315: q
     316: 2q
     321: q
     323: q
     324: 2q
     326: q
     328: q^2
     330: q
     335: q
     336: 2q
     337: 2q
     338: 2q
     339: q^2+q
     340: 2q
     365: q
     369: q
     373: q
     377: q
     384: q
     385: q
     387: q
     388: q
     389: q
     395: q
     397: q^2
     399: q
     402: q
     406: q
     407: 2q
     411: q
     412: 2q
     425: q
     427: q
     428: 1
     429: 1
     430: 1
     440: q
     463: q
     473: q
     483: q
     486: q
     487: q
     490: 1
     492: 1
     494: 1
     497: 1
     509: 1
     514: q
     515: 1
     520: q
     524: q
     533: q
     540: 1
     550: 1
     562: 1
     575: 1
     600: 1
     604: 1
     610: q
     616: 1
     639: 1
     646: 1
     656: 1
     693: 1
     696: 1
     744: 1
     749: 1
     772: 1

773:   0: q^3+q
       1: q
       2: q^3+q
       3: q
       4: q^3+q
       6: q^5+q
       7: q
       8: q^3+q
      11: q^5+q
      12: q^4+q^3+q
      19: q
      20: q
      21: q
      23: q^3+q
      24: q^3+q
      25: q^5+q
      27: q
      28: q
      30: q^3+q
      31: q^3+q
      32: q
      33: q^3+q
      35: q^3+q
      36: q
      37: q^3+q
      41: q
      43: q
      44: q^3+q
      46: q
      47: q^3+q
      48: q^3+q
      50: q
      52: q^3+q
      60: q
      61: q
      62: q
      64: q
      65: q
      66: q^3+q
      68: q
      69: q
      70: q^3+q
      72: q
      73: q
      74: q^3+q
      78: q
      80: q^3+q
      83: q
      86: q
      87: q
      88: q
      90: q
      92: q^3+q
      97: q
      99: q
     101: q
     103: q
     108: q
     109: q
     110: q
     112: q
     113: q
     114: q^3+q
     116: q
     117: q
     118: q^3+q
     120: q
     121: q
     122: q^3+q
     124: q
     128: q
     132: q
     136: q
     138: q
     140: q^3+q
     145: q
     146: q
     147: q
     149: q
     151: q
     153: q
     155: q
     158: q
     159: q
     161: q
     162: q
     164: q
     166: q^3+q
     174: q
     175: q
     176: q
     178: q
     179: q
     180: q
     182: q
     183: q
     184: q^3+q
     186: q
     190: q
     192: q
     196: q
     198: q
     204: q
     206: q
     208: q
     210: q
     218: q
     220: q
     223: q
     224: q
     225: q
     228: q
     229: q
     230: q
     231: q
     232: q
     234: q
     236: q^3+q
     241: q
     242: q
     244: q
     245: q
     246: q
     256: q
     257: q
     258: q
     262: q
     266: q
     268: q
     272: q
     274: q
     276: q
     278: q
     280: q
     284: q
     299: q
     301: q
     303: q
     305: q
     313: q
     315: q
     316: q
     321: q
     323: q
     324: q
     325: q
     327: q
     329: q
     335: q
     336: q
     337: q
     354: q
     358: q
     362: q
     364: q
     368: q
     370: q
     372: q
     376: q
     380: q
     384: q
     386: q
     388: q
     406: q
     411: q
     425: q
     427: q
     436: q
     454: q
     460: q
     464: q
     470: q
     480: q
     482: q
     524: q
     577: q
     583: q
     637: 1
     697: 1
     747: 1
     773: 1

774:   0: q^2+2q
       1: q^2+2q
       2: q^2+2q
       3: q^2+2q
       4: q^2+2q
       6: q^2+2q
       7: q^2+2q
       8: q^2+2q
      11: q^3+q^2+q
      12: q^2+2q
      19: q^2+2q
      20: q^2+2q
      21: q^2+2q
      23: 2q
      24: 2q
      25: q^2+q
      27: q^2+2q
      28: q^2+2q
      30: q^2+2q
      31: q^2+2q
      32: q^2+2q
      33: q^2+2q
      35: q^2+2q
      36: q^2+2q
      37: q^2+2q
      41: q^2+2q
      43: q^2+2q
      44: 2q
      46: q^2+2q
      47: 2q
      48: q^2+q
      49: q
      50: q^2+q
      51: q
      52: q^2+q
      53: q
      60: 2q
      61: 2q
      62: q^2+q
      64: 2q
      65: q^2+q
      66: 2q
      68: q^2+2q
      69: q^2+2q
      70: q^2+2q
      72: q^2+2q
      73: q^2+2q
      74: q^2+2q
      78: q^2+q
      79: q
      80: q
      81: q
      83: q
      86: 2q
      87: 2q
      88: q^2+q
      89: q
      90: q^2+q
      91: q
      92: q^2+q
      93: q
      97: 2q
      99: q^2+2q
     101: 2q
     103: q^2+2q
     108: 2q
     109: q^2+q
     110: 2q
     112: 2q
     113: q^2+q
     114: 2q
     116: 2q
     117: q^2+q
     118: 2q
     120: q^2+2q
     121: q^2+2q
     122: q^2+2q
     124: q
     125: q
     128: q^2+q
     129: q
     132: q
     133: q
     136: q
     138: q^2
     140: q
     145: q
     146: 2q
     147: 2q
     149: q
     151: 2q
     153: 2q
     155: q
     158: 2q
     159: 2q
     161: q^2+2q
     162: q^2+q
     163: q
     164: q^2+q
     165: q
     166: q^2+q
     167: q
     174: 2q
     175: q^2+q
     176: 2q
     178: 2q
     179: q^2+q
     180: 2q
     182: 2q
     183: q^2+q
     184: 2q
     190: q
     192: q
     193: q
     196: q
     197: q
     198: q
     199: q
     204: q^2+q
     205: q
     206: q
     208: q^2
     210: q
     218: q
     220: q
     223: q
     224: 2q
     225: 2q
     228: q
     229: 2q
     230: 2q
     231: q
     232: q
     234: q^2
     236: q
     241: 2q
     242: 2q
     244: 2q
     245: q^2+q
     246: 2q
     256: 2q
     257: q^2+q
     258: 2q
     266: q
     272: q
     274: q
     275: q
     276: q
     278: q
     279: q
     284: q
     285: q
     299: q
     301: q
     303: q^2
     305: q
     313: q
     315: q
     316: 2q
     321: q
     323: q
     324: 2q
     325: q
     327: q^2
     329: q
     335: q
     336: 2q
     337: 2q
     338: 2q
     339: q^2+q
     340: 2q
     364: q
     368: q
     372: q
     376: q
     384: q
     385: q
     386: q
     388: q
     389: q
     394: q
     396: q^2
     398: q
     402: q
     406: q
     407: 2q
     411: q
     412: 2q
     425: q
     427: q
     428: 1
     429: 1
     430: 1
     436: q
     462: q
     472: q
     482: q
     486: q
     487: q
     489: 1
     491: 1
     493: 1
     497: 1
     509: 1
     514: q
     515: 1
     520: q
     524: q
     529: q
     539: 1
     549: 1
     561: 1
     576: 1
     600: 1
     604: 1
     610: q
     618: 1
     640: 1
     645: 1
     655: 1
     693: 1
     698: 1
     743: 1
     750: 1
     774: 1

775:   0: 1
       1: 1
       2: 1
       3: 1
       4: 1
       6: 1
       7: 1
       8: 1
      11: 1
      12: 1
      19: 1
      20: 1
      21: 1
      23: 1
      24: 1
      25: 1
      27: 1
      28: 1
      30: 1
      31: 1
      32: 1
      33: 1
      35: 1
      36: 1
      37: 1
      41: 1
      43: 1
      44: 1
      46: 1
      47: 1
      49: 1
      51: 1
      53: 1
      60: 1
      61: 1
      62: 1
      64: 1
      65: 1
      66: 1
      68: 1
      69: 1
      70: 1
      72: 1
      73: 1
      74: 1
      79: 1
      81: 1
      83: 1
      86: 1
      87: 1
      89: 1
      91: 1
      93: 1
      97: 1
      99: 1
     101: 1
     103: 1
     108: 1
     109: 1
     110: 1
     112: 1
     113: 1
     114: 1
     116: 1
     117: 1
     118: 1
     120: 1
     121: 1
     122: 1
     125: 1
     129: 1
     133: 1
     137: 1
     139: 1
     141: 1
     145: 1
     146: 1
     147: 1
     149: 1
     151: 1
     153: 1
     155: 1
     158: 1
     159: 1
     161: 1
     163: 1
     165: 1
     167: 1
     174: 1
     175: 1
     176: 1
     178: 1
     179: 1
     180: 1
     182: 1
     183: 1
     184: 1
     187: 1
     191: 1
     193: 1
     197: 1
     199: 1
     205: 1
     207: 1
     209: 1
     211: 1
     218: 1
     220: 1
     223: 1
     224: 1
     225: 1
     228: 1
     229: 1
     230: 1
     231: 1
     233: 1
     235: 1
     237: 1
     241: 1
     242: 1
     244: 1
     245: 1
     246: 1
     256: 1
     257: 1
     258: 1
     263: 1
     267: 1
     269: 1
     273: 1
     275: 1
     277: 1
     279: 1
     281: 1
     285: 1
     299: 1
     302: 1
     304: 1
     306: 1
     313: 1
     315: 1
     316: 1
     321: 1
     323: 1
     324: 1
     326: 1
     328: 1
     330: 1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: 1
     355: 1
     359: 1
     363: 1
     365: 1
     369: 1
     371: 1
     373: 1
     377: 1
     381: 1
     385: 1
     387: 1
     389: 1
     395: 1
     397: 1
     399: 1
     402: 1
     406: 1
     407: 1
     411: 1
     412: 1
     425: 1
     427: 1
     428: 1
     429: 1
     430: 1
     440: 1
     449: 1
     455: 1
     461: 1
     463: 1
     465: 1
     471: 1
     473: 1
     481: 1
     483: 1
     487: 1
     490: 1
     492: 1
     494: 1
     497: 1
     509: 1
     514: 1
     515: 1
     520: 1
     524: 1
     533: 1
     540: 1
     548: 1
     550: 1
     556: 1
     562: 1
     568: 1
     576: 1
     578: 1
     584: 1
     600: 1
     604: 1
     610: 1
     619: 1
     638: 1
     640: 1
     646: 1
     656: 1
     668: 1
     672: 1
     693: 1
     699: 1
     744: 1
     748: 1
     750: 1
     775: 1

776:   0: q^3+q
       1: q
       2: q^3+q
       3: q
       4: q^3+q
       6: q^5+q
       7: q
       8: q^3+q
      11: q^5+q
      12: q^4+q^3+q
      19: q
      20: q
      21: q
      23: q^3+q
      24: q^3+q
      25: q^5+q
      27: q
      28: q
      30: q^3+q
      31: q^3+q
      32: q
      33: q^3+q
      35: q^3+q
      36: q
      37: q^3+q
      41: q
      43: q
      44: q^3+q
      46: q
      47: q^3+q
      49: q^3+q
      51: q
      53: q^3+q
      60: q
      61: q
      62: q
      64: q
      65: q
      66: q^3+q
      68: q
      69: q
      70: q^3+q
      72: q
      73: q
      74: q^3+q
      79: q
      81: q^3+q
      83: q
      86: q
      87: q
      89: q
      91: q
      93: q^3+q
      97: q
      99: q
     101: q
     103: q
     108: q
     109: q
     110: q
     112: q
     113: q
     114: q^3+q
     116: q
     117: q
     118: q^3+q
     120: q
     121: q
     122: q^3+q
     125: q
     129: q
     133: q
     137: q
     139: q
     141: q^3+q
     145: q
     146: q
     147: q
     149: q
     151: q
     153: q
     155: q
     158: q
     159: q
     161: q
     163: q
     165: q
     167: q^3+q
     174: q
     175: q
     176: q
     178: q
     179: q
     180: q
     182: q
     183: q
     184: q^3+q
     187: q
     191: q
     193: q
     197: q
     199: q
     205: q
     207: q
     209: q
     211: q
     218: q
     220: q
     223: q
     224: q
     225: q
     228: q
     229: q
     230: q
     231: q
     233: q
     235: q
     237: q^3+q
     241: q
     242: q
     244: q
     245: q
     246: q
     256: q
     257: q
     258: q
     263: q
     267: q
     269: q
     273: q
     275: q
     277: q
     279: q
     281: q
     285: q
     299: q
     302: q
     304: q
     306: q
     313: q
     315: q
     316: q
     321: q
     323: q
     324: q
     326: q
     328: q
     330: q
     335: q
     336: q
     337: q
     355: q
     359: q
     363: q
     365: q
     369: q
     371: q
     373: q
     377: q
     381: q
     385: q
     387: q
     389: q
     406: q
     411: q
     425: q
     427: q
     440: q
     455: q
     461: q
     465: q
     471: q
     481: q
     483: q
     524: q
     578: q
     584: q
     638: 1
     700: 1
     748: 1
     776: 1

777:   0: 5q^2+6q+1
       1: q^4+2q^3+2q^2+6q+1
       2: 5q^2+6q+1
       3: 5q^2+6q+1
       4: q^3+6q^2+6q+1
       5: 3q^3+4q+1
       6: q^4+2q^3+2q^2+6q+1
       7: 2q^3+3q^2+6q+1
       8: q^3+6q^2+6q+1
       9: 3q^3+4q+1
      10: q^4+3q^3+q^2+4q+1
      11: q^4+2q^3+2q^2+6q+1
      12: q^3+6q^2+6q+1
      13: 3q^3+4q+1
      14: q^4+2q^3+2q+1
      15: 2q^3+4q+1
      16: 2q^3+4q+1
      17: 2q^3+q^2+4q+1
      18: 2q^3+4q+1
      19: 2q^2+6q+1
      20: 2q^2+6q+1
      21: 3q^2+6q+1
      22: 2q^3+2q+1
      23: 5q^2+6q+1
      24: q^3+6q^2+6q+1
      25: q^4+2q^3+2q^2+6q+1
      26: 3q^3+4q+1
      27: 5q^2+6q+1
      28: q^4+2q^3+2q^2+6q+1
      29: 3q^3+4q+1
      30: q^3+6q^2+6q+1
      31: 3q^2+6q+1
      32: q^3+q^2+6q+1
      33: 3q^2+6q+1
      34: 2q^3+4q+1
      35: 3q^2+6q+1
      36: q^3+q^2+6q+1
      37: 3q^2+6q+1
      38: 2q^3+4q+1
      39: 2q^3+4q+1
      40: 2q^3+4q+1
      41: 2q^2+6q+1
      42: q^3+4q+1
      43: q^2+6q+1
      44: 3q^2+6q+1
      45: q^3+4q+1
      46: q^2+6q+1
      47: 3q^2+6q+1
      48: q^2+4q+1
      49: 2q
      50: 4q+1
      51: 2q
      52: q^2+4q+1
      53: 2q
      54: 3q+1
      55: q^3+q
      56: 4q+1
      57: 4q+1
      58: q^2+4q+1
      59: q^3+2q+1
      60: 2q^2+6q+1
      61: 3q^2+6q+1
      62: 2q^2+6q+1
      63: 2q^3+2q+1
      64: 5q^2+6q+1
      65: q^4+2q^3+2q^2+6q+1
      66: q^3+6q^2+6q+1
      67: 3q^3+4q+1
      68: 3q^2+6q+1
      69: q^3+q^2+6q+1
      70: 3q^2+6q+1
      71: 2q^3+4q+1
      72: 3q^2+6q+1
      73: q^3+q^2+6q+1
      74: 3q^2+6q+1
      75: 2q^3+4q+1
      76: 3q+1
      77: q
      78: 4q+1
      79: 2q
      80: q^2+4q+1
      81: 2q
      82: 2q+1
      83: 2q^2+6q+1
      84: 4q+1
      85: 2q^3+4q+1
      86: 3q^2+6q+1
      87: 3q^2+6q+1
      88: q^2+4q+1
      89: 2q
      90: 4q+1
      91: 2q
      92: q^2+4q+1
      93: 2q
      94: 3q+1
      95: q^3+q
      96: 4q+1
      97: q^2+6q+1
      98: q^3+4q+1
      99: q^2+6q+1
     100: 4q+1
     101: q^2+6q+1
     102: q^3+4q+1
     103: q^2+6q+1
     104: 4q+1
     105: q^2+4q+1
     106: 4q+1
     107: q^3+2q+1
     108: 2q^2+6q+1
     109: 2q^2+6q+1
     110: 3q^2+6q+1
     111: 2q^3+2q+1
     112: 3q^2+6q+1
     113: q^3+q^2+6q+1
     114: 3q^2+6q+1
     115: 2q^3+4q+1
     116: 3q^2+6q+1
     117: q^3+q^2+6q+1
     118: 3q^2+6q+1
     119: 2q^3+4q+1
     120: 5q+1
     121: 5q+1
     122: q^2+6q+1
     123: 3q+1
     124: q^2+4q+1
     125: 2q
     126: 3q+1
     127: q
     128: 4q+1
     129: 2q
     130: 3q+1
     131: q
     132: 4q+1
     133: 2q
     134: 2q+1
     135: 4q+1
     136: q^2+4q+1
     137: 2q
     138: 4q+1
     139: 2q
     140: q^2+4q+1
     141: 2q
     142: 3q+1
     143: q^3+q
     144: 2q+1
     145: 2q^2+6q+1
     146: q^2+6q+1
     147: q^2+6q+1
     148: 4q+1
     149: q^2+6q+1
     150: q^3+4q+1
     151: 3q+1
     152: 4q+1
     153: 3q^2+6q+1
     154: 4q+1
     155: q^2+6q+1
     156: q^3+4q+1
     157: 4q+1
     158: 3q^2+6q+1
     159: 3q+1
     160: 3q+1
     161: 5q+1
     162: 3q+1
     163: 2q
     164: 3q+1
     165: 2q
     166: q^2+4q+1
     167: 2q
     168: 2q+1
     169: q
     170: 4q+1
     171: 4q+1
     172: q^2+4q+1
     173: q^3+2q+1
     174: q^2+5q+1
     175: q^2+5q+1
     176: q^2+5q+1
     177: q^3+2q+1
     178: q^2+5q+1
     179: q^2+5q+1
     180: q^2+5q+1
     181: q^3+2q+1
     182: 5q+1
     183: 5q+1
     184: q^2+6q+1
     185: 3q+1
     186: 4q+1
     187: 2q
     188: 3q+1
     189: q
     190: q^2+4q+1
     191: 2q
     192: 4q+1
     193: 2q
     194: 3q+1
     195: q
     196: 2q+1
     197: q
     198: 2q+1
     199: q
     200: 3q+1
     201: q
     202: 2q+1
     203: q
     204: 3q+1
     205: 2q
     206: 2q+1
     208: 2q+1
     210: 2q+1
     212: q+1
     214: 2q+1
     215: 2q+1
     216: 4q+1
     217: 4q+1
     218: q^2+6q+1
     219: 4q+1
     220: q^2+6q+1
     221: 4q+1
     222: 2q+1
     223: q^2+5q+1
     224: 3q+1
     225: q^2+5q+1
     226: 4q+1
     227: 2q+1
     228: q^2+5q+1
     229: q^2+5q+1
     230: 3q+1
     231: 5q+1
     232: 3q+1
     233: 2q
     234: 3q+1
     235: 2q
     236: q^2+4q+1
     237: 2q
     238: 2q+1
     239: q
     240: 3q+1
     241: 3q+1
     242: 3q+1
     243: 3q+1
     244: 5q+1
     245: 5q+1
     246: q^2+6q+1
     247: 3q+1
     248: 2q+1
     249: 2q+1
     250: 2q+1
     251: q+1
     252: 2q+1
     253: 2q+1
     254: 2q+1
     255: q+1
     256: 2q+1
     257: 2q+1
     258: 3q+1
     259: q+1
     260: q+1
     262: 2q+1
     264: 3q+1
     265: q
     266: 2q+1
     268: 4q+1
     269: 2q
     270: 3q+1
     271: q
     272: 2q+1
     273: q
     274: 2q+1
     275: q
     276: 2q+1
     277: q
     278: 2q+1
     279: q
     280: 3q+1
     281: 2q
     282: 2q+1
     283: q
     284: q+1
     286: 2q+1
     287: q
     296: 2q+1
     297: 4q+1
     298: 4q+1
     299: 5q+1
     300: 3q+1
     301: 3q+1
     302: 2q
     303: 3q+1
     304: 2q
     305: q^2+4q+1
     306: 2q
     307: 2q+1
     308: q
     309: 2q+1
     310: q+1
     311: 2q+1
     312: q+1
     313: 3q+1
     314: 2q+1
     315: q^2+5q+1
     316: 3q+1
     317: 2q+1
     318: q+1
     319: 2q+1
     320: 2q+1
     321: q^2+5q+1
     322: q+1
     323: 3q+1
     324: 3q+1
     325: 1
     327: 1
     329: q+1
     331: 1
     333: 3q+1
     334: q+1
     335: 2q+1
     336: q+1
     337: q+1
     338: 2q+1
     339: 2q+1
     340: 3q+1
     341: q+1
     342: 1
     343: 1
     344: q+1
     345: 1
     350: q+1
     354: 2q+1
     356: 3q+1
     357: q
     358: 3q+1
     359: 2q
     360: 2q+1
     361: q
     362: 2q+1
     363: q
     364: 1
     366: q+1
     368: 2q+1
     369: q
     370: 2q+1
     371: q
     372: 1
     374: q+1
     376: 2q+1
     377: q
     378: 1
     380: 1
     382: 2q+1
     383: q
     384: 1
     386: q+1
     388: q+1
     390: 2q+1
     391: 2q+1
     392: 3q+1
     393: q+1
     394: 1
     396: 1
     398: q+1
     400: 1
     402: 2q+1
     403: q+1
     404: q+1
     405: 2q+1
     406: 3q+1
     407: q+1
     408: q+1
     409: 2q+1
     410: q+1
     411: 3q+1
     412: q+1
     421: q+1
     422: 1
     423: 1
     424: 1
     425: q+1
     426: 1
     427: q+1
     428: 2q+1
     429: 2q+1
     430: 3q+1
     431: q+1
     432: 1
     433: 1
     434: q+1
     435: 1
     436: q+1
     444: q+1
     448: 1
     450: 2q+1
     451: q
     452: 1
     454: 1
     456: q+1
     460: 2q+1
     461: q
     462: 1
     464: 1
     466: q+1
     470: 2q+1
     471: q
     472: 1
     478: 1
     480: 1
     482: 2
     484: 1
     486: 1
     488: q+1
     489: 1
     491: 1
     493: q+1
     495: 1
     497: 2q+1
     498: q+1
     507: 1
     508: 1
     509: q+1
     510: 1
     511: q+1
     512: q+1
     513: 1
     514: q+1
     515: q+1
     516: q+1
     517: 1
     518: q+1
     519: 1
     520: q+1
     521: 1
     522: 1
     523: 1
     525: 1
     526: 1
     527: q+1
     528: 1
     529: 1
     531: 1
     535: 1
     539: 1
     541: 1
     547: 1
     549: 1
     551: 1
     555: 1
     557: q+1
     561: 1
     563: 1
     567: 1
     569: q+1
     575: 1
     577: 2
     579: 1
     585: 1
     595: 1
     596: q+1
     597: 1
     598: 1
     599: 1
     600: q+1
     601: 1
     602: 1
     603: 1
     604: q+1
     605: 1
     606: 1
     607: 1
     608: 1
     615: 1
     617: 1
     629: 1
     635: 1
     637: 2
     639: 1
     645: 1
     647: 1
     655: 1
     657: 1
     661: 1
     663: 1
     683: 1
     685: 1
     686: 1
     687: 1
     689: 1
     690: 1
     691: 1
     695: 1
     697: 1
     713: 1
     717: 1
     721: 1
     729: 1
     752: 1
     754: 1
     777: 1

778:   0: 5q^2+6q+1
       1: q^4+2q^3+2q^2+6q+1
       2: 5q^2+6q+1
       3: 5q^2+6q+1
       4: q^3+6q^2+6q+1
       5: 3q^3+4q+1
       6: q^4+2q^3+2q^2+6q+1
       7: 2q^3+3q^2+6q+1
       8: q^3+6q^2+6q+1
       9: 3q^3+4q+1
      10: q^4+3q^3+q^2+4q+1
      11: q^4+2q^3+2q^2+6q+1
      12: q^3+6q^2+6q+1
      13: 3q^3+4q+1
      14: q^4+2q^3+2q+1
      15: 2q^3+4q+1
      16: 2q^3+4q+1
      17: 2q^3+q^2+4q+1
      18: 2q^3+4q+1
      19: 2q^2+6q+1
      20: 2q^2+6q+1
      21: 3q^2+6q+1
      22: 2q^3+2q+1
      23: 5q^2+6q+1
      24: q^3+6q^2+6q+1
      25: q^4+2q^3+2q^2+6q+1
      26: 3q^3+4q+1
      27: 5q^2+6q+1
      28: q^4+2q^3+2q^2+6q+1
      29: 3q^3+4q+1
      30: q^3+6q^2+6q+1
      31: 3q^2+6q+1
      32: q^3+q^2+6q+1
      33: 3q^2+6q+1
      34: 2q^3+4q+1
      35: 3q^2+6q+1
      36: q^3+q^2+6q+1
      37: 3q^2+6q+1
      38: 2q^3+4q+1
      39: 2q^3+4q+1
      40: 2q^3+4q+1
      41: 2q^2+6q+1
      42: q^3+4q+1
      43: q^2+6q+1
      44: 3q^2+6q+1
      45: q^3+4q+1
      46: q^2+6q+1
      47: 3q^2+6q+1
      48: 2q
      49: q^2+4q+1
      50: 2q
      51: 4q+1
      52: 2q
      53: q^2+4q+1
      54: q^3+q
      55: 3q+1
      56: 4q+1
      57: 4q+1
      58: q^2+4q+1
      59: q^3+2q+1
      60: 2q^2+6q+1
      61: 3q^2+6q+1
      62: 2q^2+6q+1
      63: 2q^3+2q+1
      64: 5q^2+6q+1
      65: q^4+2q^3+2q^2+6q+1
      66: q^3+6q^2+6q+1
      67: 3q^3+4q+1
      68: 3q^2+6q+1
      69: q^3+q^2+6q+1
      70: 3q^2+6q+1
      71: 2q^3+4q+1
      72: 3q^2+6q+1
      73: q^3+q^2+6q+1
      74: 3q^2+6q+1
      75: 2q^3+4q+1
      76: q
      77: 3q+1
      78: 2q
      79: 4q+1
      80: 2q
      81: q^2+4q+1
      82: 2q+1
      83: 2q^2+6q+1
      84: 4q+1
      85: 2q^3+4q+1
      86: 3q^2+6q+1
      87: 3q^2+6q+1
      88: 2q
      89: q^2+4q+1
      90: 2q
      91: 4q+1
      92: 2q
      93: q^2+4q+1
      94: q^3+q
      95: 3q+1
      96: 4q+1
      97: q^2+6q+1
      98: q^3+4q+1
      99: q^2+6q+1
     100: 4q+1
     101: q^2+6q+1
     102: q^3+4q+1
     103: q^2+6q+1
     104: 4q+1
     105: q^2+4q+1
     106: 4q+1
     107: q^3+2q+1
     108: 2q^2+6q+1
     109: 2q^2+6q+1
     110: 3q^2+6q+1
     111: 2q^3+2q+1
     112: 3q^2+6q+1
     113: q^3+q^2+6q+1
     114: 3q^2+6q+1
     115: 2q^3+4q+1
     116: 3q^2+6q+1
     117: q^3+q^2+6q+1
     118: 3q^2+6q+1
     119: 2q^3+4q+1
     120: 5q+1
     121: 5q+1
     122: q^2+6q+1
     123: 3q+1
     124: 2q
     125: q^2+4q+1
     126: q
     127: 3q+1
     128: 2q
     129: 4q+1
     130: q
     131: 3q+1
     132: 2q
     133: 4q+1
     134: 2q+1
     135: 4q+1
     136: 2q
     137: q^2+4q+1
     138: 2q
     139: 4q+1
     140: 2q
     141: q^2+4q+1
     142: q^3+q
     143: 3q+1
     144: 2q+1
     145: 2q^2+6q+1
     146: q^2+6q+1
     147: q^2+6q+1
     148: 4q+1
     149: q^2+6q+1
     150: q^3+4q+1
     151: 3q+1
     152: 4q+1
     153: 3q^2+6q+1
     154: 4q+1
     155: q^2+6q+1
     156: q^3+4q+1
     157: 4q+1
     158: 3q^2+6q+1
     159: 3q+1
     160: 3q+1
     161: 5q+1
     162: 2q
     163: 3q+1
     164: 2q
     165: 3q+1
     166: 2q
     167: q^2+4q+1
     168: q
     169: 2q+1
     170: 4q+1
     171: 4q+1
     172: q^2+4q+1
     173: q^3+2q+1
     174: q^2+5q+1
     175: q^2+5q+1
     176: q^2+5q+1
     177: q^3+2q+1
     178: q^2+5q+1
     179: q^2+5q+1
     180: q^2+5q+1
     181: q^3+2q+1
     182: 5q+1
     183: 5q+1
     184: q^2+6q+1
     185: 3q+1
     186: 2q
     187: 4q+1
     188: q
     189: 3q+1
     190: 2q
     191: q^2+4q+1
     192: 2q
     193: 4q+1
     194: q
     195: 3q+1
     196: q
     197: 2q+1
     198: q
     199: 2q+1
     200: q
     201: 3q+1
     202: q
     203: 2q+1
     204: 2q
     205: 3q+1
     207: 2q+1
     209: 2q+1
     211: 2q+1
     213: q+1
     214: 2q+1
     215: 2q+1
     216: 4q+1
     217: 4q+1
     218: q^2+6q+1
     219: 4q+1
     220: q^2+6q+1
     221: 4q+1
     222: 2q+1
     223: q^2+5q+1
     224: 3q+1
     225: q^2+5q+1
     226: 4q+1
     227: 2q+1
     228: q^2+5q+1
     229: q^2+5q+1
     230: 3q+1
     231: 5q+1
     232: 2q
     233: 3q+1
     234: 2q
     235: 3q+1
     236: 2q
     237: q^2+4q+1
     238: q
     239: 2q+1
     240: 3q+1
     241: 3q+1
     242: 3q+1
     243: 3q+1
     244: 5q+1
     245: 5q+1
     246: q^2+6q+1
     247: 3q+1
     248: 2q+1
     249: 2q+1
     250: 2q+1
     251: q+1
     252: 2q+1
     253: 2q+1
     254: 2q+1
     255: q+1
     256: 2q+1
     257: 2q+1
     258: 3q+1
     259: q+1
     261: q+1
     263: 2q+1
     264: q
     265: 3q+1
     267: 2q+1
     268: 2q
     269: 4q+1
     270: q
     271: 3q+1
     272: q
     273: 2q+1
     274: q
     275: 2q+1
     276: q
     277: 2q+1
     278: q
     279: 2q+1
     280: 2q
     281: 3q+1
     282: q
     283: 2q+1
     285: q+1
     286: q
     287: 2q+1
     296: 2q+1
     297: 4q+1
     298: 4q+1
     299: 5q+1
     300: 3q+1
     301: 2q
     302: 3q+1
     303: 2q
     304: 3q+1
     305: 2q
     306: q^2+4q+1
     307: q
     308: 2q+1
     309: 2q+1
     310: q+1
     311: 2q+1
     312: q+1
     313: 3q+1
     314: 2q+1
     315: q^2+5q+1
     316: 3q+1
     317: 2q+1
     318: q+1
     319: 2q+1
     320: 2q+1
     321: q^2+5q+1
     322: q+1
     323: 3q+1
     324: 3q+1
     326: 1
     328: 1
     330: q+1
     332: 1
     333: 3q+1
     334: q+1
     335: 2q+1
     336: q+1
     337: q+1
     338: 2q+1
     339: 2q+1
     340: 3q+1
     341: q+1
     342: 1
     343: 1
     344: q+1
     345: 1
     351: q+1
     355: 2q+1
     356: q
     357: 3q+1
     358: 2q
     359: 3q+1
     360: q
     361: 2q+1
     362: q
     363: 2q+1
     365: 1
     367: q+1
     368: q
     369: 2q+1
     370: q
     371: 2q+1
     373: 1
     375: q+1
     376: q
     377: 2q+1
     379: 1
     381: 1
     382: q
     383: 2q+1
     385: 1
     387: q+1
     389: q+1
     390: 2q+1
     391: 2q+1
     392: 3q+1
     393: q+1
     395: 1
     397: 1
     399: q+1
     401: 1
     402: 2q+1
     403: q+1
     404: q+1
     405: 2q+1
     406: 3q+1
     407: q+1
     408: q+1
     409: 2q+1
     410: q+1
     411: 3q+1
     412: q+1
     421: q+1
     422: 1
     423: 1
     424: 1
     425: q+1
     426: 1
     427: q+1
     428: 2q+1
     429: 2q+1
     430: 3q+1
     431: q+1
     432: 1
     433: 1
     434: q+1
     435: 1
     440: q+1
     445: q+1
     449: 1
     450: q
     451: 2q+1
     453: 1
     455: 1
     457: q+1
     460: q
     461: 2q+1
     463: 1
     465: 1
     467: q+1
     470: q
     471: 2q+1
     473: 1
     479: 1
     481: 1
     483: 2
     485: 1
     487: 1
     488: q+1
     490: 1
     492: 1
     494: q+1
     496: 1
     497: 2q+1
     498: q+1
     507: 1
     508: 1
     509: q+1
     510: 1
     511: q+1
     512: q+1
     513: 1
     514: q+1
     515: q+1
     516: q+1
     517: 1
     518: q+1
     519: 1
     520: q+1
     521: 1
     522: 1
     523: 1
     525: 1
     526: 1
     527: q+1
     528: 1
     533: 1
     534: 1
     536: 1
     540: 1
     542: 1
     548: 1
     550: 1
     552: 1
     556: 1
     558: q+1
     562: 1
     564: 1
     568: 1
     570: q+1
     576: 1
     578: 2
     580: 1
     586: 1
     595: 1
     596: q+1
     597: 1
     598: 1
     599: 1
     600: q+1
     601: 1
     602: 1
     603: 1
     604: q+1
     605: 1
     606: 1
     607: 1
     608: 1
     619: 1
     620: 1
     630: 1
     636: 1
     638: 2
     640: 1
     646: 1
     648: 1
     656: 1
     658: 1
     662: 1
     664: 1
     683: 1
     685: 1
     686: 1
     687: 1
     689: 1
     690: 1
     691: 1
     699: 1
     700: 1
     714: 1
     718: 1
     722: 1
     730: 1
     752: 1
     754: 1
     778: 1

779:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: 1
       5: q+1
       6: q+1
       7: 1
       8: 1
       9: q+1
      10: 1
      11: q+1
      12: 1
      13: q+1
      14: q+1
      15: q+1
      16: q+1
      17: 1
      18: q+1
      19: q+1
      20: q+1
      21: 1
      22: q+1
      23: q+1
      24: 1
      25: q+1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      30: 1
      31: 1
      32: 1
      33: 1
      34: 1
      35: 1
      36: 1
      37: 1
      38: 1
      39: q+1
      40: q+1
      41: q+1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      48: 1
      50: 1
      52: 1
      54: 1
      56: q+1
      57: q+1
      58: 1
      59: q+1
      60: q+1
      61: 1
      62: q+1
      63: q+1
      64: q+1
      65: q+1
      66: 1
      67: q+1
      68: 1
      69: 1
      70: 1
      71: 1
      72: 1
      73: 1
      74: 1
      75: 1
      76: 1
      78: 1
      80: 1
      82: q+1
      83: q+1
      84: q+1
      85: q+1
      86: 1
      87: 1
      88: 1
      90: 1
      92: 1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: q+1
     105: 1
     106: q+1
     107: q+1
     108: q+1
     109: q+1
     110: 1
     111: q+1
     112: 1
     113: 1
     114: 1
     115: 1
     116: 1
     117: 1
     118: 1
     119: 1
     120: 1
     121: 1
     123: 1
     124: 1
     126: 1
     128: 1
     130: 1
     132: 1
     134: q+1
     135: q+1
     136: 1
     138: 1
     140: 1
     142: 1
     144: q+1
     145: q+1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     152: 1
     153: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     160: 1
     161: 1
     162: 1
     164: 1
     168: 1
     170: q+1
     171: q+1
     172: 1
     173: q+1
     174: 1
     175: 1
     176: 1
     177: 1
     178: 1
     179: 1
     180: 1
     181: 1
     182: 1
     183: 1
     185: 1
     186: 1
     188: 1
     190: 1
     192: 1
     194: 1
     200: 1
     202: 1
     204: 1
     206: 1
     208: 1
     210: 1
     212: 1
     214: q+1
     215: q+1
     216: q+1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     223: 1
     225: 1
     226: 1
     227: 1
     228: 1
     229: 1
     231: 1
     232: 1
     234: 1
     238: 1
     240: 1
     243: 1
     244: 1
     245: 1
     247: 1
     248: 1
     249: 1
     250: 1
     251: 1
     252: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     259: 1
     260: 1
     262: 1
     264: 1
     266: 1
     268: 1
     270: 1
     280: 1
     282: 1
     286: 1
     288: 1
     290: 1
     292: 1
     294: 1
     296: q+1
     297: 1
     298: 1
     299: 1
     300: 1
     301: 1
     303: 1
     307: 1
     309: 1
     310: 1
     311: 1
     314: 1
     315: 1
     317: 1
     318: 1
     319: 1
     320: 1
     321: 1
     325: 1
     327: 1
     331: 1
     333: 1
     334: 1
     335: 1
     338: 1
     339: 1
     341: 1
     342: 1
     343: 1
     345: 1
     346: 1
     348: 1
     350: 1
     352: 1
     354: 1
     356: 1
     358: 1
     360: 1
     378: 1
     380: 1
     382: 1
     390: 1
     391: 1
     392: 1
     393: 1
     394: 1
     396: 1
     400: 1
     402: 1
     403: 1
     405: 1
     408: 1
     409: 1
     413: 1
     415: 1
     419: 1
     421: 1
     422: 1
     423: 1
     428: 1
     429: 1
     431: 1
     432: 1
     433: 1
     435: 1
     442: 1
     444: 1
     446: 1
     448: 1
     450: 1
     452: 1
     474: 1
     476: 1
     478: 1
     488: 1
     489: 1
     491: 1
     495: 1
     497: 1
     498: 1
     499: 1
     501: 1
     505: 1
     507: 1
     508: 1
     511: 1
     516: 1
     521: 1
     525: 1
     526: 1
     528: 1
     535: 1
     537: 1
     539: 1
     541: 1
     543: 1
     545: 1
     573: 1
     587: 1
     589: 1
     593: 1
     595: 1
     596: 1
     597: 1
     598: 1
     611: 1
     612: 1
     614: 1
     627: 1
     629: 1
     631: 1
     633: 1
     673: 1
     675: 1
     679: 1
     681: 1
     682: 1
     683: 1
     707: 1
     709: 1
     711: 1
     751: 1
     779: 1

780:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: 1
       5: q+1
       6: q+1
       7: 1
       8: 1
       9: q+1
      10: 1
      11: q+1
      12: 1
      13: q+1
      14: q+1
      15: q+1
      16: q+1
      17: 1
      18: q+1
      19: q+1
      20: q+1
      21: 1
      22: q+1
      23: q+1
      24: 1
      25: q+1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      30: 1
      31: 1
      32: 1
      33: 1
      34: 1
      35: 1
      36: 1
      37: 1
      38: 1
      39: q+1
      40: q+1
      41: q+1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      49: 1
      51: 1
      53: 1
      55: 1
      56: q+1
      57: q+1
      58: 1
      59: q+1
      60: q+1
      61: 1
      62: q+1
      63: q+1
      64: q+1
      65: q+1
      66: 1
      67: q+1
      68: 1
      69: 1
      70: 1
      71: 1
      72: 1
      73: 1
      74: 1
      75: 1
      77: 1
      79: 1
      81: 1
      82: q+1
      83: q+1
      84: q+1
      85: q+1
      86: 1
      87: 1
      89: 1
      91: 1
      93: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: q+1
     105: 1
     106: q+1
     107: q+1
     108: q+1
     109: q+1
     110: 1
     111: q+1
     112: 1
     113: 1
     114: 1
     115: 1
     116: 1
     117: 1
     118: 1
     119: 1
     120: 1
     121: 1
     123: 1
     125: 1
     127: 1
     129: 1
     131: 1
     133: 1
     134: q+1
     135: q+1
     137: 1
     139: 1
     141: 1
     143: 1
     144: q+1
     145: q+1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     152: 1
     153: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     160: 1
     161: 1
     163: 1
     165: 1
     169: 1
     170: q+1
     171: q+1
     172: 1
     173: q+1
     174: 1
     175: 1
     176: 1
     177: 1
     178: 1
     179: 1
     180: 1
     181: 1
     182: 1
     183: 1
     185: 1
     187: 1
     189: 1
     191: 1
     193: 1
     195: 1
     201: 1
     203: 1
     205: 1
     207: 1
     209: 1
     211: 1
     213: 1
     214: q+1
     215: q+1
     216: q+1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     223: 1
     225: 1
     226: 1
     227: 1
     228: 1
     229: 1
     231: 1
     233: 1
     235: 1
     239: 1
     240: 1
     243: 1
     244: 1
     245: 1
     247: 1
     248: 1
     249: 1
     250: 1
     251: 1
     252: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     259: 1
     261: 1
     263: 1
     265: 1
     267: 1
     269: 1
     271: 1
     281: 1
     283: 1
     287: 1
     289: 1
     291: 1
     293: 1
     295: 1
     296: q+1
     297: 1
     298: 1
     299: 1
     300: 1
     302: 1
     304: 1
     308: 1
     309: 1
     310: 1
     311: 1
     314: 1
     315: 1
     317: 1
     318: 1
     319: 1
     320: 1
     321: 1
     326: 1
     328: 1
     332: 1
     333: 1
     334: 1
     335: 1
     338: 1
     339: 1
     341: 1
     342: 1
     343: 1
     345: 1
     347: 1
     349: 1
     351: 1
     353: 1
     355: 1
     357: 1
     359: 1
     361: 1
     379: 1
     381: 1
     383: 1
     390: 1
     391: 1
     392: 1
     393: 1
     395: 1
     397: 1
     401: 1
     402: 1
     403: 1
     405: 1
     408: 1
     409: 1
     414: 1
     416: 1
     420: 1
     421: 1
     422: 1
     423: 1
     428: 1
     429: 1
     431: 1
     432: 1
     433: 1
     435: 1
     443: 1
     445: 1
     447: 1
     449: 1
     451: 1
     453: 1
     475: 1
     477: 1
     479: 1
     488: 1
     490: 1
     492: 1
     496: 1
     497: 1
     498: 1
     500: 1
     502: 1
     506: 1
     507: 1
     508: 1
     511: 1
     516: 1
     521: 1
     525: 1
     526: 1
     528: 1
     536: 1
     538: 1
     540: 1
     542: 1
     544: 1
     546: 1
     574: 1
     588: 1
     590: 1
     594: 1
     595: 1
     596: 1
     597: 1
     598: 1
     611: 1
     612: 1
     614: 1
     628: 1
     630: 1
     632: 1
     634: 1
     674: 1
     676: 1
     680: 1
     681: 1
     682: 1
     683: 1
     708: 1
     710: 1
     712: 1
     751: 1
     780: 1

781:   0: 6q^2+5q+1
       1: 6q^2+5q+1
       2: 3q^3+7q^2+5q+1
       3: 6q^2+5q+1
       4: 3q^3+7q^2+5q+1
       5: q^3+3q^2+3q+1
       6: 6q^2+5q+1
       7: 3q^3+7q^2+5q+1
       8: q^4+5q^3+8q^2+5q+1
       9: q^3+3q^2+3q+1
      10: q^4+3q^3+4q^2+3q+1
      11: q^3+3q^2+3q+1
      12: q^4+5q^3+8q^2+5q+1
      13: q^2+2q+1
      14: q^2+2q+1
      15: 3q^2+3q+1
      16: 3q^2+3q+1
      17: 2q^3+4q^2+3q+1
      18: q^2+2q+1
      19: 6q^2+5q+1
      20: 6q^2+5q+1
      21: 3q^3+7q^2+5q+1
      22: q^2+2q+1
      23: 5q^2+5q+1
      24: 2q^3+6q^2+5q+1
      25: 3q^2+3q+1
      26: q^2+2q+1
      27: 6q^2+5q+1
      28: 6q^2+5q+1
      29: q^3+3q^2+3q+1
      30: q^4+5q^3+8q^2+5q+1
      31: 5q^2+5q+1
      32: 5q^2+5q+1
      33: 2q^3+6q^2+5q+1
      34: q^3+3q^2+3q+1
      35: 5q^2+5q+1
      36: 5q^2+5q+1
      37: 2q^3+6q^2+5q+1
      38: q^3+3q^2+3q+1
      39: q^2+2q+1
      40: 3q^2+3q+1
      41: 6q^2+5q+1
      42: 3q^2+3q+1
      43: 5q^2+5q+1
      44: 4q^2+5q+1
      45: 3q^2+3q+1
      46: 5q^2+5q+1
      47: 4q^2+5q+1
      48: 2q^2+3q+1
      49: 2q^2+2q
      50: 2q^2+3q+1
      51: 2q^2+2q
      52: q^3+3q^2+3q+1
      53: 2q^2+2q
      54: q^2+2q+1
      55: q^3+2q^2+q
      56: 3q^2+3q+1
      57: 3q^2+3q+1
      58: 2q^3+4q^2+3q+1
      59: q^2+2q+1
      60: 5q^2+5q+1
      61: 2q^3+6q^2+5q+1
      62: 3q^2+3q+1
      63: q^2+2q+1
      64: 5q^2+5q+1
      65: 3q^2+3q+1
      66: 2q^3+6q^2+5q+1
      67: q^2+2q+1
      68: 5q^2+5q+1
      69: 5q^2+5q+1
      70: 2q^3+6q^2+5q+1
      71: q^3+3q^2+3q+1
      72: 5q^2+5q+1
      73: 5q^2+5q+1
      74: 2q^3+6q^2+5q+1
      75: q^3+3q^2+3q+1
      76: q^2+2q+1
      77: 2q^2+q
      78: 2q^2+3q+1
      79: 2q^2+2q
      80: 2q^2+3q+1
      81: q^2+2q
      82: q^2+2q+1
      83: 2q^2+3q+1
      84: 3q^2+3q+1
      85: q^2+2q+1
      86: 4q^2+5q+1
      87: 4q^2+5q+1
      88: 2q^2+3q+1
      89: 2q^2+2q
      90: 2q^2+3q+1
      91: 2q^2+2q
      92: q^3+3q^2+3q+1
      93: 2q^2+2q
      94: q^2+2q+1
      95: q^3+2q^2+q
      96: 3q^2+3q+1
      97: 4q^2+5q+1
      98: 3q^2+3q+1
      99: 5q^2+5q+1
     100: 3q^2+3q+1
     101: 4q^2+5q+1
     102: 3q^2+3q+1
     103: 5q^2+5q+1
     104: 2q^2+3q+1
     105: q^3+3q^2+3q+1
     106: 2q+1
     107: 2q+1
     108: 5q^2+5q+1
     109: 3q^2+3q+1
     110: 2q^3+6q^2+5q+1
     111: q^2+2q+1
     112: 3q^2+5q+1
     113: 2q^2+3q+1
     114: 3q^2+5q+1
     115: q^2+2q+1
     116: 3q^2+5q+1
     117: 2q^2+3q+1
     118: 3q^2+5q+1
     119: q^2+2q+1
     120: q^2+4q+1
     121: q^2+4q+1
     122: q^3+5q^2+5q+1
     123: q^2+2q+1
     124: 2q^2+3q+1
     125: q^2+2q
     126: q^2+2q+1
     127: 2q^2+q
     128: 2q^2+3q+1
     129: 2q^2+2q
     130: q^2+2q+1
     131: 2q^2+q
     132: 2q^2+3q+1
     133: q^2+2q
     134: 2q+1
     135: 2q+1
     136: q^2+2q+1
     137: 2q
     138: q+1
     139: q^2+q
     140: q^2+2q+1
     141: 2q
     142: q+1
     143: q^2+q
     144: q^2+2q+1
     145: 2q^2+3q+1
     146: 4q^2+5q+1
     147: 4q^2+5q+1
     148: 2q^2+3q+1
     149: q^2+3q+1
     150: q^2+2q+1
     151: 3q+1
     152: 3q^2+3q+1
     153: 3q^2+5q+1
     154: 2q^2+3q+1
     155: q^2+3q+1
     156: q^2+2q+1
     157: 3q^2+3q+1
     158: 3q^2+5q+1
     159: 3q+1
     160: q^2+2q+1
     161: q^2+4q+1
     162: 2q+1
     163: q^2+2q
     164: 2q+1
     165: q^2+2q
     166: q^3+3q^2+3q+1
     167: 2q^2+2q
     168: q+1
     169: q^2+q
     170: 2q^2+3q+1
     171: 2q+1
     172: q^3+3q^2+3q+1
     173: 2q+1
     174: 3q^2+5q+1
     175: 2q^2+3q+1
     176: 3q^2+5q+1
     177: q^2+2q+1
     178: 3q^2+5q+1
     179: 2q^2+3q+1
     180: 3q^2+5q+1
     181: q^2+2q+1
     182: 4q+1
     183: 2q+1
     184: 2q^2+5q+1
     185: q+1
     186: q+1
     187: q
     188: q+1
     189: q^2+q
     190: q^2+2q+1
     191: 2q
     192: 2q^2+3q+1
     193: q^2+2q
     194: q^2+2q+1
     195: 2q^2+q
     196: 2q+1
     197: q
     198: 2q+1
     199: q
     200: q^2+2q+1
     201: q^2+q
     202: q+1
     203: q^2+q
     204: 2q+1
     205: q^2+2q
     206: q^2+2q+1
     207: 2q
     208: q+1
     209: q^2+q
     210: q^2+2q+1
     211: 2q
     212: q+1
     213: q^2+q
     214: 2q+1
     215: 2q+1
     216: 2q+1
     217: 2q^2+3q+1
     218: q^2+3q+1
     219: 2q^2+3q+1
     220: q^2+3q+1
     221: 2q+1
     222: q^2+2q+1
     223: q^2+3q+1
     224: 3q+1
     225: 3q^2+5q+1
     226: 2q+1
     227: q^2+2q+1
     228: q^2+3q+1
     229: 3q^2+5q+1
     230: 3q+1
     231: 2q+1
     232: q+1
     233: 2q
     234: 1
     235: q
     236: q^2+2q+1
     237: 2q
     238: 1
     239: q
     240: q+1
     241: 3q+1
     242: 3q+1
     243: q^2+2q+1
     244: 4q+1
     245: 2q+1
     246: 2q^2+5q+1
     247: q+1
     248: q^2+2q+1
     249: q+1
     250: q^2+2q+1
     251: q+1
     252: q^2+2q+1
     253: q+1
     254: q^2+2q+1
     255: q+1
     256: 4q+1
     257: 2q+1
     258: 2q^2+5q+1
     259: q+1
     260: q+1
     261: q^2+q
     262: q+1
     263: q
     264: q+1
     265: q
     266: q^2+2q+1
     267: 2q
     268: q+1
     269: q
     270: q^2+2q+1
     271: q^2+q
     272: q+1
     273: q
     274: 2q+1
     275: q
     276: q+1
     277: q
     278: 2q+1
     279: q
     280: 1
     281: q
     282: 1
     283: q
     284: 2q+1
     286: q+1
     287: q^2+q
     296: 2q+1
     297: 2q+1
     298: 2q+1
     299: 2q+1
     300: q+1
     301: q+1
     302: 2q
     303: 1
     304: q
     305: q^2+2q+1
     306: 2q
     307: 1
     308: q
     309: 2q+1
     310: q+1
     311: q+1
     312: q+1
     313: q+1
     314: q^2+2q+1
     315: q^2+3q+1
     316: 3q+1
     317: 2q+1
     318: q+1
     319: q+1
     320: q^2+2q+1
     321: q^2+3q+1
     322: q+1
     323: q+1
     324: 3q+1
     325: q+1
     326: 2q
     327: 1
     328: q
     329: q^2+2q+1
     330: 2q
     331: 1
     332: q
     333: q+1
     334: q+1
     335: 2q+1
     336: 3q+1
     337: 3q+1
     338: 4q+1
     339: 2q+1
     340: 2q^2+5q+1
     341: q+1
     342: q+1
     343: 1
     344: q^2+2q+1
     345: 1
     350: q+1
     351: q
     354: q+1
     355: q
     356: q+1
     357: q
     358: 1
     359: q
     360: 1
     361: q
     362: 1
     364: q+1
     365: q
     366: q+1
     368: q+1
     369: q
     370: 1
     372: q+1
     373: q
     374: q+1
     376: q+1
     377: q
     378: 1
     379: q
     380: 1
     381: q
     382: 1
     383: q
     384: 2q+1
     386: q+1
     388: 2q+1
     390: 2q+1
     391: 2q+1
     392: q+1
     393: q+1
     394: q+1
     395: 2q
     396: 1
     397: q
     398: q^2+2q+1
     399: 2q
     400: 1
     401: q
     402: 2q+1
     403: q+1
     404: 1
     405: q+1
     406: q+1
     407: 3q+1
     408: q+1
     409: q+1
     410: 1
     411: q+1
     412: 3q+1
     421: q+1
     422: 1
     423: 1
     424: q+1
     425: q+1
     426: q+1
     427: q+1
     428: 2
     429: 2
     430: 2q+2
     432: q+1
     433: 1
     434: q^2+2q+1
     435: 1
     436: q+1
     444: q+1
     445: q
     448: 1
     449: q
     450: 1
     451: q
     452: 1
     453: q
     454: 1
     456: 1
     460: 1
     462: q+1
     463: q
     464: 1
     466: 1
     470: 1
     472: q+1
     473: q
     478: 1
     479: q
     480: 1
     482: q+1
     484: q+1
     486: 2q+1
     489: 1
     490: 1
     491: 1
     492: 1
     493: q+1
     494: q+1
     497: 2
     498: q+1
     507: 1
     508: 1
     509: 2
     510: 1
     511: q+1
     512: 1
     513: q+1
     514: q+1
     515: 2
     516: q+1
     517: 1
     518: 1
     519: q+1
     520: q+1
     521: 1
     522: 1
     523: 1
     525: 1
     526: 1
     527: q+1
     529: q+1
     539: 1
     540: 1
     541: 1
     542: q
     547: 1
     549: 1
     550: 1
     551: 1
     555: 1
     557: 1
     561: 1
     562: 1
     563: 1
     567: 1
     569: 1
     575: 2
     577: 1
     579: 1
     585: q+1
     597: 1
     598: 1
     599: 1
     600: 2
     601: 1
     602: 1
     603: 1
     604: 2
     605: 1
     606: 1
     607: 1
     608: 1
     611: 1
     612: 1
     613: q+1
     615: 1
     616: 1
     635: 1
     637: 1
     639: 2
     645: 1
     646: 1
     647: 1
     655: 1
     656: 1
     657: 1
     661: 1
     663: 1
     682: 1
     684: 1
     686: 1
     687: 1
     688: 1
     690: 1
     691: 1
     695: 1
     696: 1
     713: 1
     717: 1
     735: 1
     753: 1
     755: 1
     781: 1

782:   0: 6q^2+5q+1
       1: 6q^2+5q+1
       2: 3q^3+7q^2+5q+1
       3: 6q^2+5q+1
       4: 3q^3+7q^2+5q+1
       5: q^3+3q^2+3q+1
       6: 6q^2+5q+1
       7: 3q^3+7q^2+5q+1
       8: q^4+5q^3+8q^2+5q+1
       9: q^3+3q^2+3q+1
      10: q^4+3q^3+4q^2+3q+1
      11: q^3+3q^2+3q+1
      12: q^4+5q^3+8q^2+5q+1
      13: q^2+2q+1
      14: q^2+2q+1
      15: 3q^2+3q+1
      16: 3q^2+3q+1
      17: 2q^3+4q^2+3q+1
      18: q^2+2q+1
      19: 6q^2+5q+1
      20: 6q^2+5q+1
      21: 3q^3+7q^2+5q+1
      22: q^2+2q+1
      23: 5q^2+5q+1
      24: 2q^3+6q^2+5q+1
      25: 3q^2+3q+1
      26: q^2+2q+1
      27: 6q^2+5q+1
      28: 6q^2+5q+1
      29: q^3+3q^2+3q+1
      30: q^4+5q^3+8q^2+5q+1
      31: 5q^2+5q+1
      32: 5q^2+5q+1
      33: 2q^3+6q^2+5q+1
      34: q^3+3q^2+3q+1
      35: 5q^2+5q+1
      36: 5q^2+5q+1
      37: 2q^3+6q^2+5q+1
      38: q^3+3q^2+3q+1
      39: q^2+2q+1
      40: 3q^2+3q+1
      41: 6q^2+5q+1
      42: 3q^2+3q+1
      43: 5q^2+5q+1
      44: 4q^2+5q+1
      45: 3q^2+3q+1
      46: 5q^2+5q+1
      47: 4q^2+5q+1
      48: 2q^2+2q
      49: 2q^2+3q+1
      50: 2q^2+2q
      51: 2q^2+3q+1
      52: 2q^2+2q
      53: q^3+3q^2+3q+1
      54: q^3+2q^2+q
      55: q^2+2q+1
      56: 3q^2+3q+1
      57: 3q^2+3q+1
      58: 2q^3+4q^2+3q+1
      59: q^2+2q+1
      60: 5q^2+5q+1
      61: 2q^3+6q^2+5q+1
      62: 3q^2+3q+1
      63: q^2+2q+1
      64: 5q^2+5q+1
      65: 3q^2+3q+1
      66: 2q^3+6q^2+5q+1
      67: q^2+2q+1
      68: 5q^2+5q+1
      69: 5q^2+5q+1
      70: 2q^3+6q^2+5q+1
      71: q^3+3q^2+3q+1
      72: 5q^2+5q+1
      73: 5q^2+5q+1
      74: 2q^3+6q^2+5q+1
      75: q^3+3q^2+3q+1
      76: 2q^2+q
      77: q^2+2q+1
      78: 2q^2+2q
      79: 2q^2+3q+1
      80: q^2+2q
      81: 2q^2+3q+1
      82: q^2+2q+1
      83: 2q^2+3q+1
      84: 3q^2+3q+1
      85: q^2+2q+1
      86: 4q^2+5q+1
      87: 4q^2+5q+1
      88: 2q^2+2q
      89: 2q^2+3q+1
      90: 2q^2+2q
      91: 2q^2+3q+1
      92: 2q^2+2q
      93: q^3+3q^2+3q+1
      94: q^3+2q^2+q
      95: q^2+2q+1
      96: 3q^2+3q+1
      97: 4q^2+5q+1
      98: 3q^2+3q+1
      99: 5q^2+5q+1
     100: 3q^2+3q+1
     101: 4q^2+5q+1
     102: 3q^2+3q+1
     103: 5q^2+5q+1
     104: 2q^2+3q+1
     105: q^3+3q^2+3q+1
     106: 2q+1
     107: 2q+1
     108: 5q^2+5q+1
     109: 3q^2+3q+1
     110: 2q^3+6q^2+5q+1
     111: q^2+2q+1
     112: 3q^2+5q+1
     113: 2q^2+3q+1
     114: 3q^2+5q+1
     115: q^2+2q+1
     116: 3q^2+5q+1
     117: 2q^2+3q+1
     118: 3q^2+5q+1
     119: q^2+2q+1
     120: q^2+4q+1
     121: q^2+4q+1
     122: q^3+5q^2+5q+1
     123: q^2+2q+1
     124: q^2+2q
     125: 2q^2+3q+1
     126: 2q^2+q
     127: q^2+2q+1
     128: 2q^2+2q
     129: 2q^2+3q+1
     130: 2q^2+q
     131: q^2+2q+1
     132: q^2+2q
     133: 2q^2+3q+1
     134: 2q+1
     135: 2q+1
     136: 2q
     137: q^2+2q+1
     138: q^2+q
     139: q+1
     140: 2q
     141: q^2+2q+1
     142: q^2+q
     143: q+1
     144: q^2+2q+1
     145: 2q^2+3q+1
     146: 4q^2+5q+1
     147: 4q^2+5q+1
     148: 2q^2+3q+1
     149: q^2+3q+1
     150: q^2+2q+1
     151: 3q+1
     152: 3q^2+3q+1
     153: 3q^2+5q+1
     154: 2q^2+3q+1
     155: q^2+3q+1
     156: q^2+2q+1
     157: 3q^2+3q+1
     158: 3q^2+5q+1
     159: 3q+1
     160: q^2+2q+1
     161: q^2+4q+1
     162: q^2+2q
     163: 2q+1
     164: q^2+2q
     165: 2q+1
     166: 2q^2+2q
     167: q^3+3q^2+3q+1
     168: q^2+q
     169: q+1
     170: 2q^2+3q+1
     171: 2q+1
     172: q^3+3q^2+3q+1
     173: 2q+1
     174: 3q^2+5q+1
     175: 2q^2+3q+1
     176: 3q^2+5q+1
     177: q^2+2q+1
     178: 3q^2+5q+1
     179: 2q^2+3q+1
     180: 3q^2+5q+1
     181: q^2+2q+1
     182: 4q+1
     183: 2q+1
     184: 2q^2+5q+1
     185: q+1
     186: q
     187: q+1
     188: q^2+q
     189: q+1
     190: 2q
     191: q^2+2q+1
     192: q^2+2q
     193: 2q^2+3q+1
     194: 2q^2+q
     195: q^2+2q+1
     196: q
     197: 2q+1
     198: q
     199: 2q+1
     200: q^2+q
     201: q^2+2q+1
     202: q^2+q
     203: q+1
     204: q^2+2q
     205: 2q+1
     206: 2q
     207: q^2+2q+1
     208: q^2+q
     209: q+1
     210: 2q
     211: q^2+2q+1
     212: q^2+q
     213: q+1
     214: 2q+1
     215: 2q+1
     216: 2q+1
     217: 2q^2+3q+1
     218: q^2+3q+1
     219: 2q^2+3q+1
     220: q^2+3q+1
     221: 2q+1
     222: q^2+2q+1
     223: q^2+3q+1
     224: 3q+1
     225: 3q^2+5q+1
     226: 2q+1
     227: q^2+2q+1
     228: q^2+3q+1
     229: 3q^2+5q+1
     230: 3q+1
     231: 2q+1
     232: 2q
     233: q+1
     234: q
     235: 1
     236: 2q
     237: q^2+2q+1
     238: q
     239: 1
     240: q+1
     241: 3q+1
     242: 3q+1
     243: q^2+2q+1
     244: 4q+1
     245: 2q+1
     246: 2q^2+5q+1
     247: q+1
     248: q^2+2q+1
     249: q+1
     250: q^2+2q+1
     251: q+1
     252: q^2+2q+1
     253: q+1
     254: q^2+2q+1
     255: q+1
     256: 4q+1
     257: 2q+1
     258: 2q^2+5q+1
     259: q+1
     260: q^2+q
     261: q+1
     262: q
     263: q+1
     264: q
     265: q+1
     266: 2q
     267: q^2+2q+1
     268: q
     269: q+1
     270: q^2+q
     271: q^2+2q+1
     272: q
     273: q+1
     274: q
     275: 2q+1
     276: q
     277: q+1
     278: q
     279: 2q+1
     280: q
     281: 1
     282: q
     283: 1
     285: 2q+1
     286: q^2+q
     287: q+1
     296: 2q+1
     297: 2q+1
     298: 2q+1
     299: 2q+1
     300: q+1
     301: 2q
     302: q+1
     303: q
     304: 1
     305: 2q
     306: q^2+2q+1
     307: q
     308: 1
     309: 2q+1
     310: q+1
     311: q+1
     312: q+1
     313: q+1
     314: q^2+2q+1
     315: q^2+3q+1
     316: 3q+1
     317: 2q+1
     318: q+1
     319: q+1
     320: q^2+2q+1
     321: q^2+3q+1
     322: q+1
     323: q+1
     324: 3q+1
     325: 2q
     326: q+1
     327: q
     328: 1
     329: 2q
     330: q^2+2q+1
     331: q
     332: 1
     333: q+1
     334: q+1
     335: 2q+1
     336: 3q+1
     337: 3q+1
     338: 4q+1
     339: 2q+1
     340: 2q^2+5q+1
     341: q+1
     342: q+1
     343: 1
     344: q^2+2q+1
     345: 1
     350: q
     351: q+1
     354: q
     355: q+1
     356: q
     357: q+1
     358: q
     359: 1
     360: q
     361: 1
     363: 1
     364: q
     365: q+1
     367: q+1
     368: q
     369: q+1
     371: 1
     372: q
     373: q+1
     375: q+1
     376: q
     377: q+1
     378: q
     379: 1
     380: q
     381: 1
     382: q
     383: 1
     385: 2q+1
     387: q+1
     389: 2q+1
     390: 2q+1
     391: 2q+1
     392: q+1
     393: q+1
     394: 2q
     395: q+1
     396: q
     397: 1
     398: 2q
     399: q^2+2q+1
     400: q
     401: 1
     402: 2q+1
     403: q+1
     404: 1
     405: q+1
     406: q+1
     407: 3q+1
     408: q+1
     409: q+1
     410: 1
     411: q+1
     412: 3q+1
     421: q+1
     422: 1
     423: 1
     424: q+1
     425: q+1
     426: q+1
     427: q+1
     428: 2
     429: 2
     430: 2q+2
     432: q+1
     433: 1
     434: q^2+2q+1
     435: 1
     440: q+1
     444: q
     445: q+1
     448: q
     449: 1
     450: q
     451: 1
     452: q
     453: 1
     455: 1
     457: 1
     461: 1
     462: q
     463: q+1
     465: 1
     467: 1
     471: 1
     472: q
     473: q+1
     478: q
     479: 1
     481: 1
     483: q+1
     485: q+1
     487: 2q+1
     489: 1
     490: 1
     491: 1
     492: 1
     493: q+1
     494: q+1
     497: 2
     498: q+1
     507: 1
     508: 1
     509: 2
     510: 1
     511: q+1
     512: 1
     513: q+1
     514: q+1
     515: 2
     516: q+1
     517: 1
     518: 1
     519: q+1
     520: q+1
     521: 1
     522: 1
     523: 1
     525: 1
     526: 1
     527: q+1
     533: q+1
     539: 1
     540: 1
     541: q
     542: 1
     548: 1
     549: 1
     550: 1
     552: 1
     556: 1
     558: 1
     561: 1
     562: 1
     564: 1
     568: 1
     570: 1
     576: 2
     578: 1
     580: 1
     586: q+1
     597: 1
     598: 1
     599: 1
     600: 2
     601: 1
     602: 1
     603: 1
     604: 2
     605: 1
     606: 1
     607: 1
     608: 1
     611: 1
     612: 1
     613: q+1
     618: 1
     619: 1
     636: 1
     638: 1
     640: 2
     645: 1
     646: 1
     648: 1
     655: 1
     656: 1
     658: 1
     662: 1
     664: 1
     682: 1
     684: 1
     686: 1
     687: 1
     688: 1
     690: 1
     691: 1
     698: 1
     699: 1
     714: 1
     718: 1
     736: 1
     753: 1
     755: 1
     782: 1

783:   0: q^3+2q+1
       1: q^3+2q+1
       2: q^2+2q+1
       3: q^3+2q+1
       4: q^2+2q+1
       5: q^3+2q+1
       6: q^3+2q+1
       7: q^2+2q+1
       8: q^3+2q^2+2q+1
       9: q^3+2q+1
      10: q^2+2q+1
      11: q^4+q^3+q+1
      12: q^3+2q^2+2q+1
      13: q^4+q^3+q+1
      14: q^4+q^3+q+1
      15: q^3+2q+1
      16: q^3+2q+1
      17: q^2+2q+1
      18: q^4+q^3+q+1
      19: q^3+2q+1
      20: q^3+2q+1
      21: q^2+2q+1
      22: q^4+q^3+q+1
      23: 2q+1
      24: q^2+2q+1
      25: q^3+q+1
      26: q^3+q+1
      27: q^3+2q+1
      28: q^3+2q+1
      29: q^3+2q+1
      30: q^3+2q^2+2q+1
      31: 2q+1
      32: 2q+1
      33: q^2+2q+1
      34: 2q+1
      35: 2q+1
      36: 2q+1
      37: q^2+2q+1
      38: 2q+1
      39: q^3+q+1
      40: q^3+2q+1
      41: q^3+2q+1
      42: 2q+1
      43: 2q+1
      44: 2q+1
      45: 2q+1
      46: 2q+1
      47: 2q+1
      48: 2q+1
      50: 2q+1
      52: q^2+2q+1
      54: 2q+1
      56: q^3+2q+1
      57: q^3+2q+1
      58: q^2+2q+1
      59: q^4+q^3+q+1
      60: 2q+1
      61: q^2+2q+1
      62: q^3+q+1
      63: q^3+q+1
      64: 2q+1
      65: q^3+q+1
      66: q^2+2q+1
      67: q^3+q+1
      68: 2q+1
      69: 2q+1
      70: q^2+2q+1
      71: 2q+1
      72: 2q+1
      73: 2q+1
      74: q^2+2q+1
      75: 2q+1
      76: 2q+1
      78: 2q+1
      80: 2q+1
      82: q^3+q+1
      83: q+1
      84: q^3+2q+1
      85: q^3+q+1
      86: 2q+1
      87: 2q+1
      88: 2q+1
      90: 2q+1
      92: q^2+2q+1
      94: 2q+1
      96: 2q+1
      97: 2q+1
      98: 2q+1
      99: 2q+1
     100: 2q+1
     101: 2q+1
     102: 2q+1
     103: 2q+1
     104: 2q+1
     105: q^2+2q+1
     106: q^3+q+1
     107: q^3+q+1
     108: 2q+1
     109: q^3+q+1
     110: q^2+2q+1
     111: q^3+q+1
     112: 2q+1
     113: q+1
     114: 2q+1
     115: q+1
     116: 2q+1
     117: q+1
     118: 2q+1
     119: q+1
     120: q+1
     121: q+1
     122: q^2+2q+1
     123: q+1
     124: 2q+1
     126: 2q+1
     128: 2q+1
     130: 2q+1
     132: 2q+1
     134: q^3+q+1
     135: q+1
     136: 2q+1
     138: q+1
     140: 2q+1
     142: q+1
     144: q^3+q+1
     145: q+1
     146: 2q+1
     147: 2q+1
     148: 2q+1
     149: q+1
     150: q+1
     151: q+1
     152: 2q+1
     153: 2q+1
     154: 2q+1
     155: q+1
     156: q+1
     157: 2q+1
     158: 2q+1
     159: q+1
     160: q+1
     161: q+1
     162: q+1
     164: q+1
     166: q^2+2q+1
     168: q+1
     170: 2q+1
     171: q^3+q+1
     172: q^2+2q+1
     173: q^3+q+1
     174: 2q+1
     175: q+1
     176: 2q+1
     177: q+1
     178: 2q+1
     179: q+1
     180: 2q+1
     181: q+1
     182: 1
     183: 1
     184: q+1
     185: 1
     186: q+1
     188: q+1
     190: 2q+1
     192: 2q+1
     194: 2q+1
     196: q+1
     198: q+1
     200: 2q+1
     202: q+1
     204: q+1
     206: 2q+1
     208: q+1
     210: 2q+1
     212: q+1
     214: q+1
     215: q^3+q+1
     216: q+1
     217: 2q+1
     218: q+1
     219: 2q+1
     220: q+1
     221: q+1
     222: q+1
     223: q+1
     224: q+1
     225: 2q+1
     226: q+1
     227: q+1
     228: q+1
     229: 2q+1
     230: q+1
     231: 1
     232: 1
     234: 1
     236: q+1
     238: 1
     240: 1
     241: 1
     242: 1
     243: q+1
     244: 1
     245: 1
     246: q+1
     247: 1
     248: 2q+1
     249: q+1
     250: 2q+1
     251: q+1
     252: 2q+1
     253: q+1
     254: 2q+1
     255: q+1
     256: 1
     257: 1
     258: q+1
     259: 1
     260: q+1
     262: q+1
     264: q+1
     266: 2q+1
     268: q+1
     270: 2q+1
     272: 1
     274: q+1
     276: 1
     278: q+1
     280: 1
     282: 1
     284: 1
     286: q+1
     288: 2q+1
     290: q+1
     292: 2q+1
     294: q+1
     296: q+1
     297: q+1
     298: q+1
     299: 1
     300: 1
     301: 1
     303: 1
     305: q+1
     307: 1
     309: q+1
     310: q+1
     311: q+1
     312: q+1
     313: 1
     314: 2q+1
     315: q+1
     316: 1
     317: q+1
     318: q+1
     319: q+1
     320: 2q+1
     321: q+1
     322: q+1
     323: 1
     324: 1
     325: 1
     327: 1
     329: q+1
     331: 1
     333: 1
     334: 1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: q+1
     341: 1
     342: 1
     343: 1
     344: q+1
     345: 1
     346: q+1
     348: q+1
     350: q+1
     352: 2q+1
     354: q+1
     356: q+1
     358: 1
     360: 1
     362: 1
     364: 1
     366: q+1
     368: 1
     370: 1
     372: 1
     374: q+1
     376: 1
     378: 1
     380: 1
     382: 1
     384: 1
     386: 2
     388: 1
     390: q+1
     391: q+1
     392: 1
     393: 1
     394: 1
     396: 1
     398: q+1
     400: 1
     402: 1
     403: q+1
     404: 1
     405: q+1
     406: 1
     407: 1
     408: q+1
     409: q+1
     410: 1
     411: 1
     412: 1
     413: 1
     415: 1
     417: q+1
     419: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     426: 1
     427: 1
     432: 1
     433: 1
     434: q+1
     435: 1
     436: 1
     438: 1
     442: q+1
     444: q+1
     446: q+1
     448: 1
     450: 1
     452: 1
     454: 1
     456: 1
     458: 1
     460: 1
     462: 1
     464: 1
     466: 1
     468: 1
     470: 1
     472: 1
     474: 1
     476: 1
     478: 1
     480: 1
     482: 2
     484: 1
     486: 1
     498: 1
     499: 1
     501: 1
     503: q+1
     505: 1
     507: 1
     508: 1
     510: 1
     511: q+1
     512: 1
     513: 1
     514: 1
     516: q+1
     517: 1
     518: 1
     519: 1
     520: 1
     521: 1
     522: 1
     523: 1
     529: 1
     531: 1
     537: q+1
     541: 1
     543: 1
     545: 1
     547: 1
     551: 1
     553: 1
     555: 1
     557: 1
     559: 1
     563: 1
     565: 1
     567: 1
     569: 1
     571: 1
     573: 1
     577: 1
     579: 1
     581: 2
     585: 1
     598: 1
     601: 1
     602: 1
     605: 1
     606: 1
     607: 1
     608: 1
     621: 1
     623: 1
     633: 1
     635: 1
     637: 1
     643: 1
     647: 1
     649: 1
     653: 1
     657: 1
     659: 1
     663: 1
     665: 1
     687: 1
     691: 1
     713: 1
     715: 1
     725: 1
     733: 1
     737: 1
     783: 1

784:   0: q^3+2q+1
       1: q^3+2q+1
       2: q^2+2q+1
       3: q^3+2q+1
       4: q^2+2q+1
       5: q^3+2q+1
       6: q^3+2q+1
       7: q^2+2q+1
       8: q^3+2q^2+2q+1
       9: q^3+2q+1
      10: q^2+2q+1
      11: q^4+q^3+q+1
      12: q^3+2q^2+2q+1
      13: q^4+q^3+q+1
      14: q^4+q^3+q+1
      15: q^3+2q+1
      16: q^3+2q+1
      17: q^2+2q+1
      18: q^4+q^3+q+1
      19: q^3+2q+1
      20: q^3+2q+1
      21: q^2+2q+1
      22: q^4+q^3+q+1
      23: 2q+1
      24: q^2+2q+1
      25: q^3+q+1
      26: q^3+q+1
      27: q^3+2q+1
      28: q^3+2q+1
      29: q^3+2q+1
      30: q^3+2q^2+2q+1
      31: 2q+1
      32: 2q+1
      33: q^2+2q+1
      34: 2q+1
      35: 2q+1
      36: 2q+1
      37: q^2+2q+1
      38: 2q+1
      39: q^3+q+1
      40: q^3+2q+1
      41: q^3+2q+1
      42: 2q+1
      43: 2q+1
      44: 2q+1
      45: 2q+1
      46: 2q+1
      47: 2q+1
      49: 2q+1
      51: 2q+1
      53: q^2+2q+1
      55: 2q+1
      56: q^3+2q+1
      57: q^3+2q+1
      58: q^2+2q+1
      59: q^4+q^3+q+1
      60: 2q+1
      61: q^2+2q+1
      62: q^3+q+1
      63: q^3+q+1
      64: 2q+1
      65: q^3+q+1
      66: q^2+2q+1
      67: q^3+q+1
      68: 2q+1
      69: 2q+1
      70: q^2+2q+1
      71: 2q+1
      72: 2q+1
      73: 2q+1
      74: q^2+2q+1
      75: 2q+1
      77: 2q+1
      79: 2q+1
      81: 2q+1
      82: q^3+q+1
      83: q+1
      84: q^3+2q+1
      85: q^3+q+1
      86: 2q+1
      87: 2q+1
      89: 2q+1
      91: 2q+1
      93: q^2+2q+1
      95: 2q+1
      96: 2q+1
      97: 2q+1
      98: 2q+1
      99: 2q+1
     100: 2q+1
     101: 2q+1
     102: 2q+1
     103: 2q+1
     104: 2q+1
     105: q^2+2q+1
     106: q^3+q+1
     107: q^3+q+1
     108: 2q+1
     109: q^3+q+1
     110: q^2+2q+1
     111: q^3+q+1
     112: 2q+1
     113: q+1
     114: 2q+1
     115: q+1
     116: 2q+1
     117: q+1
     118: 2q+1
     119: q+1
     120: q+1
     121: q+1
     122: q^2+2q+1
     123: q+1
     125: 2q+1
     127: 2q+1
     129: 2q+1
     131: 2q+1
     133: 2q+1
     134: q^3+q+1
     135: q+1
     137: 2q+1
     139: q+1
     141: 2q+1
     143: q+1
     144: q^3+q+1
     145: q+1
     146: 2q+1
     147: 2q+1
     148: 2q+1
     149: q+1
     150: q+1
     151: q+1
     152: 2q+1
     153: 2q+1
     154: 2q+1
     155: q+1
     156: q+1
     157: 2q+1
     158: 2q+1
     159: q+1
     160: q+1
     161: q+1
     163: q+1
     165: q+1
     167: q^2+2q+1
     169: q+1
     170: 2q+1
     171: q^3+q+1
     172: q^2+2q+1
     173: q^3+q+1
     174: 2q+1
     175: q+1
     176: 2q+1
     177: q+1
     178: 2q+1
     179: q+1
     180: 2q+1
     181: q+1
     182: 1
     183: 1
     184: q+1
     185: 1
     187: q+1
     189: q+1
     191: 2q+1
     193: 2q+1
     195: 2q+1
     197: q+1
     199: q+1
     201: 2q+1
     203: q+1
     205: q+1
     207: 2q+1
     209: q+1
     211: 2q+1
     213: q+1
     214: q+1
     215: q^3+q+1
     216: q+1
     217: 2q+1
     218: q+1
     219: 2q+1
     220: q+1
     221: q+1
     222: q+1
     223: q+1
     224: q+1
     225: 2q+1
     226: q+1
     227: q+1
     228: q+1
     229: 2q+1
     230: q+1
     231: 1
     233: 1
     235: 1
     237: q+1
     239: 1
     240: 1
     241: 1
     242: 1
     243: q+1
     244: 1
     245: 1
     246: q+1
     247: 1
     248: 2q+1
     249: q+1
     250: 2q+1
     251: q+1
     252: 2q+1
     253: q+1
     254: 2q+1
     255: q+1
     256: 1
     257: 1
     258: q+1
     259: 1
     261: q+1
     263: q+1
     265: q+1
     267: 2q+1
     269: q+1
     271: 2q+1
     273: 1
     275: q+1
     277: 1
     279: q+1
     281: 1
     283: 1
     285: 1
     287: q+1
     289: 2q+1
     291: q+1
     293: 2q+1
     295: q+1
     296: q+1
     297: q+1
     298: q+1
     299: 1
     300: 1
     302: 1
     304: 1
     306: q+1
     308: 1
     309: q+1
     310: q+1
     311: q+1
     312: q+1
     313: 1
     314: 2q+1
     315: q+1
     316: 1
     317: q+1
     318: q+1
     319: q+1
     320: 2q+1
     321: q+1
     322: q+1
     323: 1
     324: 1
     326: 1
     328: 1
     330: q+1
     332: 1
     333: 1
     334: 1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: q+1
     341: 1
     342: 1
     343: 1
     344: q+1
     345: 1
     347: q+1
     349: q+1
     351: q+1
     353: 2q+1
     355: q+1
     357: q+1
     359: 1
     361: 1
     363: 1
     365: 1
     367: q+1
     369: 1
     371: 1
     373: 1
     375: q+1
     377: 1
     379: 1
     381: 1
     383: 1
     385: 1
     387: 2
     389: 1
     390: q+1
     391: q+1
     392: 1
     393: 1
     395: 1
     397: 1
     399: q+1
     401: 1
     402: 1
     403: q+1
     404: 1
     405: q+1
     406: 1
     407: 1
     408: q+1
     409: q+1
     410: 1
     411: 1
     412: 1
     414: 1
     416: 1
     418: q+1
     420: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     426: 1
     427: 1
     432: 1
     433: 1
     434: q+1
     435: 1
     440: 1
     441: 1
     443: q+1
     445: q+1
     447: q+1
     449: 1
     451: 1
     453: 1
     455: 1
     457: 1
     459: 1
     461: 1
     463: 1
     465: 1
     467: 1
     469: 1
     471: 1
     473: 1
     475: 1
     477: 1
     479: 1
     481: 1
     483: 2
     485: 1
     487: 1
     498: 1
     500: 1
     502: 1
     504: q+1
     506: 1
     507: 1
     508: 1
     510: 1
     511: q+1
     512: 1
     513: 1
     514: 1
     516: q+1
     517: 1
     518: 1
     519: 1
     520: 1
     521: 1
     522: 1
     523: 1
     533: 1
     534: 1
     538: q+1
     542: 1
     544: 1
     546: 1
     548: 1
     552: 1
     554: 1
     556: 1
     558: 1
     560: 1
     564: 1
     566: 1
     568: 1
     570: 1
     572: 1
     574: 1
     578: 1
     580: 1
     582: 2
     586: 1
     598: 1
     601: 1
     602: 1
     605: 1
     606: 1
     607: 1
     608: 1
     625: 1
     626: 1
     634: 1
     636: 1
     638: 1
     644: 1
     648: 1
     650: 1
     654: 1
     658: 1
     660: 1
     664: 1
     666: 1
     687: 1
     691: 1
     714: 1
     716: 1
     726: 1
     734: 1
     738: 1
     784: 1

785:   0: q^2+2q+1
       1: q^3+2q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: q^3+2q+1
       6: q^3+2q+1
       7: q^3+2q+1
       8: q^2+2q+1
       9: q^3+2q+1
      10: q^3+2q+1
      11: q^3+2q+1
      12: q^2+2q+1
      13: q^3+2q+1
      14: q^4+q^3+q+1
      15: q^3+2q+1
      16: q^3+2q+1
      17: q^3+2q+1
      18: q^3+2q+1
      19: 2q+1
      20: 2q+1
      21: 2q+1
      22: q^3+q+1
      23: q^2+2q+1
      24: q^2+2q+1
      25: q^3+2q+1
      26: q^3+2q+1
      27: q^2+2q+1
      28: q^3+2q+1
      29: q^3+2q+1
      30: q^2+2q+1
      31: q^2+2q+1
      32: q^3+2q+1
      33: q^2+2q+1
      34: q^3+2q+1
      35: q+1
      36: q+1
      37: q+1
      38: q+1
      39: q^3+2q+1
      40: q^3+2q+1
      41: 2q+1
      42: q^3+2q+1
      43: 2q+1
      44: q^2+2q+1
      45: q+1
      46: q+1
      47: q+1
      48: q+1
      50: q+1
      52: q+1
      54: q+1
      56: 2q+1
      57: 2q+1
      58: 2q+1
      59: q^3+q+1
      60: 2q+1
      61: 2q+1
      62: 2q+1
      63: q^3+q+1
      64: q^2+2q+1
      65: q^3+2q+1
      66: q^2+2q+1
      67: q^3+2q+1
      68: q^2+2q+1
      69: q^3+2q+1
      70: q^2+2q+1
      71: q^3+2q+1
      72: q+1
      73: q+1
      74: q+1
      75: q+1
      76: q+1
      78: q+1
      80: q+1
      82: q+1
      83: 2q+1
      84: 2q+1
      85: q^3+2q+1
      86: q+1
      87: q^2+2q+1
      88: q+1
      90: q+1
      92: q+1
      94: q+1
      96: 2q+1
      97: 2q+1
      98: q^3+2q+1
      99: 2q+1
     100: q+1
     101: q+1
     102: q+1
     103: q+1
     104: 2q+1
     105: 2q+1
     106: 2q+1
     107: q^3+q+1
     108: 2q+1
     109: 2q+1
     110: 2q+1
     111: q^3+q+1
     112: q^2+2q+1
     113: q^3+2q+1
     114: q^2+2q+1
     115: q^3+2q+1
     116: q+1
     117: q+1
     118: q+1
     119: q+1
     120: q+1
     121: q+1
     122: q+1
     123: q+1
     124: q+1
     126: q+1
     128: q+1
     130: q+1
     132: q+1
     134: q+1
     135: 2q+1
     136: q+1
     138: q+1
     140: q+1
     142: q+1
     144: q+1
     145: 2q+1
     146: q+1
     147: 2q+1
     148: 2q+1
     149: 2q+1
     150: q^3+2q+1
     151: q+1
     152: 2q+1
     153: q^2+2q+1
     154: q+1
     155: q+1
     156: q+1
     157: q+1
     158: q+1
     160: q+1
     161: q+1
     162: q+1
     164: q+1
     166: q+1
     168: q+1
     170: 2q+1
     171: 2q+1
     172: 2q+1
     173: q^3+q+1
     174: 2q+1
     175: 2q+1
     176: 2q+1
     177: q^3+q+1
     178: 1
     179: 1
     180: 1
     181: 1
     182: q+1
     183: q+1
     184: q+1
     185: q+1
     186: q+1
     188: q+1
     190: q+1
     192: q+1
     194: q+1
     196: q+1
     200: q+1
     202: q+1
     204: q+1
     206: 1
     208: 1
     210: 1
     212: 1
     214: q+1
     215: q+1
     216: 2q+1
     217: q+1
     218: q+1
     219: 2q+1
     220: 2q+1
     221: 2q+1
     222: q+1
     223: 2q+1
     224: q+1
     225: 2q+1
     226: q+1
     227: 1
     228: 1
     229: 1
     231: q+1
     232: q+1
     234: q+1
     236: q+1
     238: q+1
     240: q+1
     241: q+1
     243: q+1
     244: q+1
     245: q+1
     246: q+1
     247: q+1
     248: 2q+1
     249: 2q+1
     250: 2q+1
     251: q^3+q+1
     252: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     258: 1
     259: 1
     260: 1
     262: 1
     264: q+1
     266: 1
     268: q+1
     270: q+1
     272: q+1
     274: q+1
     280: q+1
     282: q+1
     286: q+1
     288: 1
     290: 1
     292: 1
     294: 1
     296: q+1
     297: q+1
     298: 2q+1
     299: q+1
     300: q+1
     301: q+1
     303: q+1
     305: q+1
     307: q+1
     309: q+1
     310: q+1
     311: 2q+1
     312: q+1
     313: q+1
     314: 2q+1
     315: 2q+1
     316: q+1
     317: 1
     318: 1
     319: 1
     320: 1
     321: 1
     325: 1
     327: 1
     329: 1
     331: 1
     333: q+1
     334: 1
     335: 1
     336: 1
     338: 1
     339: 1
     340: 1
     341: 1
     342: 1
     343: 1
     344: 1
     345: 1
     346: 1
     348: 1
     350: 1
     352: 1
     354: 1
     356: q+1
     358: q+1
     360: q+1
     362: q+1
     364: 1
     366: q+1
     368: q+1
     378: 1
     380: 1
     382: q+1
     390: 1
     391: q+1
     392: q+1
     393: 1
     394: 1
     396: 1
     398: 1
     400: 1
     402: 1
     403: q+1
     404: q+1
     405: 2q+1
     406: q+1
     407: 1
     408: 1
     409: 1
     413: 1
     415: 1
     417: 1
     419: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     428: 1
     429: 1
     430: 1
     431: 1
     432: 1
     433: 1
     434: 1
     435: 1
     442: 1
     444: 1
     446: 1
     448: 1
     450: q+1
     452: 1
     454: 1
     456: q+1
     458: 1
     460: q+1
     462: 1
     474: 1
     476: 1
     478: 1
     488: 1
     489: 1
     491: 1
     493: 1
     495: 1
     497: 1
     498: 1
     499: 1
     501: 1
     503: 1
     505: 1
     507: 1
     508: 1
     509: 1
     510: 1
     511: q+1
     512: q+1
     513: 1
     514: 1
     516: 1
     521: 1
     522: 1
     525: 1
     526: 1
     527: 1
     528: 1
     535: 1
     537: 1
     539: 1
     541: 1
     543: 1
     545: 1
     549: 1
     551: 1
     553: 1
     555: 1
     557: q+1
     559: 1
     573: 1
     587: 1
     589: 1
     591: 1
     593: 1
     595: 1
     596: 1
     597: 1
     598: 1
     599: 1
     600: 1
     601: 1
     602: 1
     607: 1
     627: 1
     629: 1
     631: 1
     633: 1
     641: 1
     643: 1
     645: 1
     647: 1
     649: 1
     683: 1
     685: 1
     686: 1
     687: 1
     711: 1
     721: 1
     723: 1
     725: 1
     752: 1
     785: 1

786:   0: q^2+2q+1
       1: q^3+2q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: q^3+2q+1
       6: q^3+2q+1
       7: q^3+2q+1
       8: q^2+2q+1
       9: q^3+2q+1
      10: q^3+2q+1
      11: q^3+2q+1
      12: q^2+2q+1
      13: q^3+2q+1
      14: q^4+q^3+q+1
      15: q^3+2q+1
      16: q^3+2q+1
      17: q^3+2q+1
      18: q^3+2q+1
      19: 2q+1
      20: 2q+1
      21: 2q+1
      22: q^3+q+1
      23: q^2+2q+1
      24: q^2+2q+1
      25: q^3+2q+1
      26: q^3+2q+1
      27: q^2+2q+1
      28: q^3+2q+1
      29: q^3+2q+1
      30: q^2+2q+1
      31: q^2+2q+1
      32: q^3+2q+1
      33: q^2+2q+1
      34: q^3+2q+1
      35: q+1
      36: q+1
      37: q+1
      38: q+1
      39: q^3+2q+1
      40: q^3+2q+1
      41: 2q+1
      42: q^3+2q+1
      43: 2q+1
      44: q^2+2q+1
      45: q+1
      46: q+1
      47: q+1
      49: q+1
      51: q+1
      53: q+1
      55: q+1
      56: 2q+1
      57: 2q+1
      58: 2q+1
      59: q^3+q+1
      60: 2q+1
      61: 2q+1
      62: 2q+1
      63: q^3+q+1
      64: q^2+2q+1
      65: q^3+2q+1
      66: q^2+2q+1
      67: q^3+2q+1
      68: q^2+2q+1
      69: q^3+2q+1
      70: q^2+2q+1
      71: q^3+2q+1
      72: q+1
      73: q+1
      74: q+1
      75: q+1
      77: q+1
      79: q+1
      81: q+1
      82: q+1
      83: 2q+1
      84: 2q+1
      85: q^3+2q+1
      86: q+1
      87: q^2+2q+1
      89: q+1
      91: q+1
      93: q+1
      95: q+1
      96: 2q+1
      97: 2q+1
      98: q^3+2q+1
      99: 2q+1
     100: q+1
     101: q+1
     102: q+1
     103: q+1
     104: 2q+1
     105: 2q+1
     106: 2q+1
     107: q^3+q+1
     108: 2q+1
     109: 2q+1
     110: 2q+1
     111: q^3+q+1
     112: q^2+2q+1
     113: q^3+2q+1
     114: q^2+2q+1
     115: q^3+2q+1
     116: q+1
     117: q+1
     118: q+1
     119: q+1
     120: q+1
     121: q+1
     122: q+1
     123: q+1
     125: q+1
     127: q+1
     129: q+1
     131: q+1
     133: q+1
     134: q+1
     135: 2q+1
     137: q+1
     139: q+1
     141: q+1
     143: q+1
     144: q+1
     145: 2q+1
     146: q+1
     147: 2q+1
     148: 2q+1
     149: 2q+1
     150: q^3+2q+1
     151: q+1
     152: 2q+1
     153: q^2+2q+1
     154: q+1
     155: q+1
     156: q+1
     157: q+1
     158: q+1
     160: q+1
     161: q+1
     163: q+1
     165: q+1
     167: q+1
     169: q+1
     170: 2q+1
     171: 2q+1
     172: 2q+1
     173: q^3+q+1
     174: 2q+1
     175: 2q+1
     176: 2q+1
     177: q^3+q+1
     178: 1
     179: 1
     180: 1
     181: 1
     182: q+1
     183: q+1
     184: q+1
     185: q+1
     187: q+1
     189: q+1
     191: q+1
     193: q+1
     195: q+1
     197: q+1
     201: q+1
     203: q+1
     205: q+1
     207: 1
     209: 1
     211: 1
     213: 1
     214: q+1
     215: q+1
     216: 2q+1
     217: q+1
     218: q+1
     219: 2q+1
     220: 2q+1
     221: 2q+1
     222: q+1
     223: 2q+1
     224: q+1
     225: 2q+1
     226: q+1
     227: 1
     228: 1
     229: 1
     231: q+1
     233: q+1
     235: q+1
     237: q+1
     239: q+1
     240: q+1
     241: q+1
     243: q+1
     244: q+1
     245: q+1
     246: q+1
     247: q+1
     248: 2q+1
     249: 2q+1
     250: 2q+1
     251: q^3+q+1
     252: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     258: 1
     259: 1
     261: 1
     263: 1
     265: q+1
     267: 1
     269: q+1
     271: q+1
     273: q+1
     275: q+1
     281: q+1
     283: q+1
     287: q+1
     289: 1
     291: 1
     293: 1
     295: 1
     296: q+1
     297: q+1
     298: 2q+1
     299: q+1
     300: q+1
     302: q+1
     304: q+1
     306: q+1
     308: q+1
     309: q+1
     310: q+1
     311: 2q+1
     312: q+1
     313: q+1
     314: 2q+1
     315: 2q+1
     316: q+1
     317: 1
     318: 1
     319: 1
     320: 1
     321: 1
     326: 1
     328: 1
     330: 1
     332: 1
     333: q+1
     334: 1
     335: 1
     336: 1
     338: 1
     339: 1
     340: 1
     341: 1
     342: 1
     343: 1
     344: 1
     345: 1
     347: 1
     349: 1
     351: 1
     353: 1
     355: 1
     357: q+1
     359: q+1
     361: q+1
     363: q+1
     365: 1
     367: q+1
     369: q+1
     379: 1
     381: 1
     383: q+1
     390: 1
     391: q+1
     392: q+1
     393: 1
     395: 1
     397: 1
     399: 1
     401: 1
     402: 1
     403: q+1
     404: q+1
     405: 2q+1
     406: q+1
     407: 1
     408: 1
     409: 1
     414: 1
     416: 1
     418: 1
     420: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     428: 1
     429: 1
     430: 1
     431: 1
     432: 1
     433: 1
     434: 1
     435: 1
     443: 1
     445: 1
     447: 1
     449: 1
     451: q+1
     453: 1
     455: 1
     457: q+1
     459: 1
     461: q+1
     463: 1
     475: 1
     477: 1
     479: 1
     488: 1
     490: 1
     492: 1
     494: 1
     496: 1
     497: 1
     498: 1
     500: 1
     502: 1
     504: 1
     506: 1
     507: 1
     508: 1
     509: 1
     510: 1
     511: q+1
     512: q+1
     513: 1
     514: 1
     516: 1
     521: 1
     522: 1
     525: 1
     526: 1
     527: 1
     528: 1
     536: 1
     538: 1
     540: 1
     542: 1
     544: 1
     546: 1
     550: 1
     552: 1
     554: 1
     556: 1
     558: q+1
     560: 1
     574: 1
     588: 1
     590: 1
     592: 1
     594: 1
     595: 1
     596: 1
     597: 1
     598: 1
     599: 1
     600: 1
     601: 1
     602: 1
     607: 1
     628: 1
     630: 1
     632: 1
     634: 1
     642: 1
     644: 1
     646: 1
     648: 1
     650: 1
     683: 1
     685: 1
     686: 1
     687: 1
     712: 1
     722: 1
     724: 1
     726: 1
     752: 1
     786: 1

787:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^3+2q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: q^2+2q+1
       6: q^2+2q+1
       7: q^2+2q+1
       8: q^3+2q^2+2q+1
       9: q^2+2q+1
      10: q^2+2q+1
      11: q+1
      12: q^3+2q^2+2q+1
      13: q+1
      14: q+1
      15: q^2+2q+1
      16: q^2+2q+1
      17: q^2+2q+1
      18: q+1
      19: q^2+2q+1
      20: q^2+2q+1
      21: q^2+2q+1
      22: q+1
      23: q^2+2q+1
      24: q^2+2q+1
      25: q+1
      26: q+1
      27: q^2+2q+1
      28: q^2+2q+1
      29: q^2+2q+1
      30: q^3+2q^2+2q+1
      31: q^2+2q+1
      32: q^2+2q+1
      33: q^3+2q^2+2q+1
      34: q^2+2q+1
      35: q+1
      36: q+1
      37: q^2+q+1
      38: q+1
      39: q+1
      40: q^2+2q+1
      41: q^2+2q+1
      42: q^2+2q+1
      43: q^2+2q+1
      44: q^2+2q+1
      45: q+1
      46: q+1
      47: q+1
      48: q+1
      50: q+1
      52: q^2+q+1
      54: q+1
      56: q^2+2q+1
      57: q^2+2q+1
      58: q^2+2q+1
      59: q+1
      60: q^2+2q+1
      61: q^2+2q+1
      62: q+1
      63: q+1
      64: q^2+2q+1
      65: q+1
      66: q^2+2q+1
      67: q+1
      68: q^2+2q+1
      69: q^2+2q+1
      70: q^3+2q^2+2q+1
      71: q^2+2q+1
      72: q+1
      73: q+1
      74: q^2+q+1
      75: q+1
      76: q+1
      78: q+1
      80: q+1
      82: q+1
      83: q+1
      84: q^2+2q+1
      85: q+1
      86: q+1
      87: q^2+2q+1
      88: q+1
      90: q+1
      92: q^2+q+1
      94: q+1
      96: q^2+2q+1
      97: q^2+2q+1
      98: q^2+2q+1
      99: q^2+2q+1
     100: q+1
     101: q+1
     102: q+1
     103: q+1
     104: q^2+2q+1
     105: q^2+2q+1
     106: q+1
     107: q+1
     108: q^2+2q+1
     109: q+1
     110: q^2+2q+1
     111: q+1
     112: q^2+2q+1
     113: q+1
     114: q^2+2q+1
     115: q+1
     116: q+1
     117: 1
     118: q+1
     119: 1
     120: q+1
     121: q+1
     122: q^2+q+1
     123: q+1
     124: q+1
     126: q+1
     128: q+1
     130: q+1
     132: q+1
     134: q+1
     135: q+1
     136: q+1
     138: 1
     140: q+1
     142: 1
     144: q+1
     145: q+1
     146: q+1
     147: q^2+2q+1
     148: q^2+2q+1
     149: q+1
     150: q+1
     151: q+1
     152: q^2+2q+1
     153: q^2+2q+1
     154: q+1
     155: 1
     156: 1
     157: q+1
     158: q+1
     160: q+1
     161: q+1
     162: q+1
     164: q+1
     166: q^2+q+1
     168: q+1
     170: q^2+2q+1
     171: q+1
     172: q^2+2q+1
     173: q+1
     174: q^2+2q+1
     175: q+1
     176: q^2+2q+1
     177: q+1
     178: q+1
     179: 1
     180: q+1
     181: 1
     182: q+1
     183: 1
     184: q+1
     185: 1
     186: 1
     188: 1
     190: q+1
     192: q+1
     194: q+1
     196: q+1
     200: q+1
     202: q+1
     204: q+1
     206: q+1
     208: 1
     210: q+1
     212: 1
     214: q+1
     215: q+1
     216: q+1
     217: q+1
     218: 1
     219: q^2+2q+1
     220: q+1
     221: q+1
     222: q+1
     223: q+1
     224: q+1
     225: q^2+2q+1
     226: 1
     227: 1
     228: 1
     229: q+1
     231: 1
     232: q+1
     234: 1
     236: q+1
     238: 1
     240: 1
     241: q+1
     243: q+1
     244: q+1
     245: 1
     246: q+1
     247: 1
     248: q^2+2q+1
     249: q+1
     250: q^2+2q+1
     251: q+1
     252: q+1
     253: 1
     254: q+1
     255: 1
     256: q+1
     257: 1
     258: q+1
     259: 1
     260: 1
     262: 1
     264: 1
     266: q+1
     268: 1
     270: q+1
     272: q+1
     274: q+1
     280: 1
     282: 1
     286: q+1
     288: q+1
     290: 1
     292: q+1
     294: 1
     296: q+1
     297: 1
     298: q+1
     299: 1
     300: 1
     301: q+1
     303: 1
     305: q+1
     307: 1
     309: q+1
     310: q+1
     311: q+1
     312: q+1
     313: 1
     314: q^2+2q+1
     315: q+1
     316: q+1
     317: 1
     318: 1
     319: 1
     320: q+1
     321: 1
     325: q+1
     327: 1
     329: q+1
     331: 1
     333: 1
     334: 1
     335: 1
     336: q+1
     338: q+1
     339: 1
     340: q+1
     341: 1
     342: q+1
     343: 1
     344: q+1
     345: 1
     346: 1
     348: 1
     350: 1
     352: q+1
     354: 1
     356: 1
     358: 1
     360: 1
     362: 1
     364: q+1
     366: q+1
     368: q+1
     378: 1
     380: 1
     382: 1
     390: 1
     391: q+1
     392: 1
     393: 1
     394: q+1
     396: 1
     398: q+1
     400: 1
     402: 1
     403: q+1
     404: 1
     405: q+1
     406: 1
     407: q+1
     408: 1
     409: 1
     413: q+1
     415: 1
     417: q+1
     419: 1
     421: 1
     422: 1
     423: 1
     424: q+1
     425: 1
     428: 1
     429: 1
     430: 1
     432: q+1
     433: 1
     434: q+1
     435: 1
     442: 1
     444: 1
     446: 1
     448: 1
     450: 1
     452: 1
     454: 1
     456: 1
     458: q+1
     460: 1
     462: q+1
     474: 1
     476: 1
     478: 1
     489: 1
     491: 1
     493: 1
     497: 1
     498: 1
     499: q+1
     501: 1
     503: q+1
     505: 1
     507: 1
     508: 1
     509: 1
     510: 1
     511: q+1
     512: 1
     513: q+1
     514: 1
     516: 1
     521: 1
     522: 1
     525: 1
     526: 1
     527: 1
     537: 1
     539: 1
     541: 1
     543: 1
     545: 1
     549: 1
     551: 1
     553: 1
     555: 1
     557: 1
     559: q+1
     573: 1
     587: 1
     589: 1
     591: 1
     597: 1
     598: 1
     599: 1
     600: 1
     601: 1
     602: 1
     607: 1
     611: 1
     612: 1
     613: 1
     631: 1
     633: 1
     641: 1
     643: 1
     645: 1
     647: 1
     649: 1
     673: 1
     675: 1
     677: 1
     682: 1
     684: 1
     686: 1
     687: 1
     709: 1
     719: 1
     723: 1
     725: 1
     753: 1
     787: 1

788:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^3+2q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: q^2+2q+1
       6: q^2+2q+1
       7: q^2+2q+1
       8: q^3+2q^2+2q+1
       9: q^2+2q+1
      10: q^2+2q+1
      11: q+1
      12: q^3+2q^2+2q+1
      13: q+1
      14: q+1
      15: q^2+2q+1
      16: q^2+2q+1
      17: q^2+2q+1
      18: q+1
      19: q^2+2q+1
      20: q^2+2q+1
      21: q^2+2q+1
      22: q+1
      23: q^2+2q+1
      24: q^2+2q+1
      25: q+1
      26: q+1
      27: q^2+2q+1
      28: q^2+2q+1
      29: q^2+2q+1
      30: q^3+2q^2+2q+1
      31: q^2+2q+1
      32: q^2+2q+1
      33: q^3+2q^2+2q+1
      34: q^2+2q+1
      35: q+1
      36: q+1
      37: q^2+q+1
      38: q+1
      39: q+1
      40: q^2+2q+1
      41: q^2+2q+1
      42: q^2+2q+1
      43: q^2+2q+1
      44: q^2+2q+1
      45: q+1
      46: q+1
      47: q+1
      49: q+1
      51: q+1
      53: q^2+q+1
      55: q+1
      56: q^2+2q+1
      57: q^2+2q+1
      58: q^2+2q+1
      59: q+1
      60: q^2+2q+1
      61: q^2+2q+1
      62: q+1
      63: q+1
      64: q^2+2q+1
      65: q+1
      66: q^2+2q+1
      67: q+1
      68: q^2+2q+1
      69: q^2+2q+1
      70: q^3+2q^2+2q+1
      71: q^2+2q+1
      72: q+1
      73: q+1
      74: q^2+q+1
      75: q+1
      77: q+1
      79: q+1
      81: q+1
      82: q+1
      83: q+1
      84: q^2+2q+1
      85: q+1
      86: q+1
      87: q^2+2q+1
      89: q+1
      91: q+1
      93: q^2+q+1
      95: q+1
      96: q^2+2q+1
      97: q^2+2q+1
      98: q^2+2q+1
      99: q^2+2q+1
     100: q+1
     101: q+1
     102: q+1
     103: q+1
     104: q^2+2q+1
     105: q^2+2q+1
     106: q+1
     107: q+1
     108: q^2+2q+1
     109: q+1
     110: q^2+2q+1
     111: q+1
     112: q^2+2q+1
     113: q+1
     114: q^2+2q+1
     115: q+1
     116: q+1
     117: 1
     118: q+1
     119: 1
     120: q+1
     121: q+1
     122: q^2+q+1
     123: q+1
     125: q+1
     127: q+1
     129: q+1
     131: q+1
     133: q+1
     134: q+1
     135: q+1
     137: q+1
     139: 1
     141: q+1
     143: 1
     144: q+1
     145: q+1
     146: q+1
     147: q^2+2q+1
     148: q^2+2q+1
     149: q+1
     150: q+1
     151: q+1
     152: q^2+2q+1
     153: q^2+2q+1
     154: q+1
     155: 1
     156: 1
     157: q+1
     158: q+1
     160: q+1
     161: q+1
     163: q+1
     165: q+1
     167: q^2+q+1
     169: q+1
     170: q^2+2q+1
     171: q+1
     172: q^2+2q+1
     173: q+1
     174: q^2+2q+1
     175: q+1
     176: q^2+2q+1
     177: q+1
     178: q+1
     179: 1
     180: q+1
     181: 1
     182: q+1
     183: 1
     184: q+1
     185: 1
     187: 1
     189: 1
     191: q+1
     193: q+1
     195: q+1
     197: q+1
     201: q+1
     203: q+1
     205: q+1
     207: q+1
     209: 1
     211: q+1
     213: 1
     214: q+1
     215: q+1
     216: q+1
     217: q+1
     218: 1
     219: q^2+2q+1
     220: q+1
     221: q+1
     222: q+1
     223: q+1
     224: q+1
     225: q^2+2q+1
     226: 1
     227: 1
     228: 1
     229: q+1
     231: 1
     233: q+1
     235: 1
     237: q+1
     239: 1
     240: 1
     241: q+1
     243: q+1
     244: q+1
     245: 1
     246: q+1
     247: 1
     248: q^2+2q+1
     249: q+1
     250: q^2+2q+1
     251: q+1
     252: q+1
     253: 1
     254: q+1
     255: 1
     256: q+1
     257: 1
     258: q+1
     259: 1
     261: 1
     263: 1
     265: 1
     267: q+1
     269: 1
     271: q+1
     273: q+1
     275: q+1
     281: 1
     283: 1
     287: q+1
     289: q+1
     291: 1
     293: q+1
     295: 1
     296: q+1
     297: 1
     298: q+1
     299: 1
     300: 1
     302: q+1
     304: 1
     306: q+1
     308: 1
     309: q+1
     310: q+1
     311: q+1
     312: q+1
     313: 1
     314: q^2+2q+1
     315: q+1
     316: q+1
     317: 1
     318: 1
     319: 1
     320: q+1
     321: 1
     326: q+1
     328: 1
     330: q+1
     332: 1
     333: 1
     334: 1
     335: 1
     336: q+1
     338: q+1
     339: 1
     340: q+1
     341: 1
     342: q+1
     343: 1
     344: q+1
     345: 1
     347: 1
     349: 1
     351: 1
     353: q+1
     355: 1
     357: 1
     359: 1
     361: 1
     363: 1
     365: q+1
     367: q+1
     369: q+1
     379: 1
     381: 1
     383: 1
     390: 1
     391: q+1
     392: 1
     393: 1
     395: q+1
     397: 1
     399: q+1
     401: 1
     402: 1
     403: q+1
     404: 1
     405: q+1
     406: 1
     407: q+1
     408: 1
     409: 1
     414: q+1
     416: 1
     418: q+1
     420: 1
     421: 1
     422: 1
     423: 1
     424: q+1
     425: 1
     428: 1
     429: 1
     430: 1
     432: q+1
     433: 1
     434: q+1
     435: 1
     443: 1
     445: 1
     447: 1
     449: 1
     451: 1
     453: 1
     455: 1
     457: 1
     459: q+1
     461: 1
     463: q+1
     475: 1
     477: 1
     479: 1
     490: 1
     492: 1
     494: 1
     497: 1
     498: 1
     500: q+1
     502: 1
     504: q+1
     506: 1
     507: 1
     508: 1
     509: 1
     510: 1
     511: q+1
     512: 1
     513: q+1
     514: 1
     516: 1
     521: 1
     522: 1
     525: 1
     526: 1
     527: 1
     538: 1
     540: 1
     542: 1
     544: 1
     546: 1
     550: 1
     552: 1
     554: 1
     556: 1
     558: 1
     560: q+1
     574: 1
     588: 1
     590: 1
     592: 1
     597: 1
     598: 1
     599: 1
     600: 1
     601: 1
     602: 1
     607: 1
     611: 1
     612: 1
     613: 1
     632: 1
     634: 1
     642: 1
     644: 1
     646: 1
     648: 1
     650: 1
     674: 1
     676: 1
     678: 1
     682: 1
     684: 1
     686: 1
     687: 1
     710: 1
     720: 1
     724: 1
     726: 1
     753: 1
     788: 1

789:   0: q^2+2q+1
       1: q^3+2q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: q^3+2q+1
       6: q^3+2q+1
       7: q^3+2q+1
       8: q^2+2q+1
       9: q^3+2q+1
      10: q^3+2q+1
      11: q^3+2q+1
      12: q^2+2q+1
      13: q^3+2q+1
      14: q^4+q^3+q+1
      15: q^3+2q+1
      16: q^3+2q+1
      17: q^3+2q+1
      18: q^3+2q+1
      19: 2q+1
      20: 2q+1
      21: 2q+1
      22: q^3+q+1
      23: q^2+2q+1
      24: q^2+2q+1
      25: q^3+2q+1
      26: q^3+2q+1
      27: q^2+2q+1
      28: q^3+2q+1
      29: q^3+2q+1
      30: q^2+2q+1
      31: q+1
      32: q+1
      33: q+1
      34: q+1
      35: q^2+2q+1
      36: q^3+2q+1
      37: q^2+2q+1
      38: q^3+2q+1
      39: q^3+2q+1
      40: q^3+2q+1
      41: 2q+1
      42: q+1
      43: q+1
      44: q+1
      45: q^3+2q+1
      46: 2q+1
      47: q^2+2q+1
      48: q+1
      50: q+1
      52: q+1
      54: q+1
      56: 2q+1
      57: 2q+1
      58: 2q+1
      59: q^3+q+1
      60: 2q+1
      61: 2q+1
      62: 2q+1
      63: q^3+q+1
      64: q^2+2q+1
      65: q^3+2q+1
      66: q^2+2q+1
      67: q^3+2q+1
      68: q+1
      69: q+1
      70: q+1
      71: q+1
      72: q^2+2q+1
      73: q^3+2q+1
      74: q^2+2q+1
      75: q^3+2q+1
      76: q+1
      78: q+1
      80: q+1
      82: q+1
      83: 2q+1
      84: 2q+1
      85: q^3+2q+1
      86: q^2+2q+1
      87: q+1
      88: q+1
      90: q+1
      92: q+1
      94: q+1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     100: 2q+1
     101: 2q+1
     102: q^3+2q+1
     103: 2q+1
     104: 2q+1
     105: 2q+1
     106: 2q+1
     107: q^3+q+1
     108: 2q+1
     109: 2q+1
     110: 2q+1
     111: q^3+q+1
     112: q+1
     113: q+1
     114: q+1
     115: q+1
     116: q^2+2q+1
     117: q^3+2q+1
     118: q^2+2q+1
     119: q^3+2q+1
     120: q+1
     121: q+1
     122: q+1
     123: q+1
     124: q+1
     126: q+1
     128: q+1
     130: q+1
     132: q+1
     134: q+1
     135: 2q+1
     136: q+1
     138: q+1
     140: q+1
     142: q+1
     144: q+1
     145: 2q+1
     146: 2q+1
     147: q+1
     148: q+1
     149: q+1
     150: q+1
     152: q+1
     153: q+1
     154: 2q+1
     155: 2q+1
     156: q^3+2q+1
     157: 2q+1
     158: q^2+2q+1
     159: q+1
     160: q+1
     161: q+1
     162: q+1
     164: q+1
     166: q+1
     168: q+1
     170: 2q+1
     171: 2q+1
     172: 2q+1
     173: q^3+q+1
     174: 1
     175: 1
     176: 1
     177: 1
     178: 2q+1
     179: 2q+1
     180: 2q+1
     181: q^3+q+1
     182: q+1
     183: q+1
     184: q+1
     185: q+1
     186: q+1
     188: q+1
     190: q+1
     192: q+1
     194: q+1
     198: q+1
     200: q+1
     202: q+1
     204: q+1
     206: 1
     208: 1
     210: 1
     212: 1
     214: q+1
     215: q+1
     216: 2q+1
     217: 2q+1
     218: 2q+1
     219: q+1
     220: q+1
     221: q+1
     222: 1
     223: 1
     225: 1
     226: 2q+1
     227: q+1
     228: 2q+1
     229: 2q+1
     230: q+1
     231: q+1
     232: q+1
     234: q+1
     236: q+1
     238: q+1
     240: q+1
     242: q+1
     243: q+1
     244: q+1
     245: q+1
     246: q+1
     247: q+1
     248: 1
     249: 1
     250: 1
     251: 1
     252: 2q+1
     253: 2q+1
     254: 2q+1
     255: q^3+q+1
     256: 1
     257: 1
     258: 1
     259: 1
     260: 1
     262: 1
     264: q+1
     266: 1
     268: q+1
     270: q+1
     276: q+1
     278: q+1
     280: q+1
     282: q+1
     286: q+1
     288: 1
     290: 1
     292: 1
     294: 1
     296: q+1
     297: 2q+1
     298: q+1
     299: q+1
     300: q+1
     301: q+1
     303: q+1
     305: q+1
     307: q+1
     309: 1
     310: 1
     311: 1
     314: 1
     315: 1
     317: q+1
     318: q+1
     319: 2q+1
     320: 2q+1
     321: 2q+1
     322: q+1
     323: q+1
     324: q+1
     325: 1
     327: 1
     329: 1
     331: 1
     333: q+1
     334: 1
     335: 1
     337: 1
     338: 1
     339: 1
     340: 1
     341: 1
     342: 1
     343: 1
     344: 1
     345: 1
     346: 1
     348: 1
     350: 1
     352: 1
     354: 1
     356: q+1
     358: q+1
     360: q+1
     370: q+1
     372: 1
     374: q+1
     376: q+1
     378: 1
     380: 1
     382: q+1
     390: q+1
     391: 1
     392: q+1
     393: 1
     394: 1
     396: 1
     398: 1
     400: 1
     402: 1
     403: 1
     405: 1
     408: q+1
     409: 2q+1
     410: q+1
     411: q+1
     412: 1
     413: 1
     415: 1
     417: 1
     419: 1
     421: 1
     422: 1
     423: 1
     426: 1
     427: 1
     428: 1
     429: 1
     430: 1
     431: 1
     432: 1
     433: 1
     434: 1
     435: 1
     442: 1
     444: 1
     446: 1
     448: 1
     450: q+1
     452: 1
     464: 1
     466: q+1
     468: 1
     470: q+1
     472: 1
     474: 1
     476: 1
     478: 1
     488: 1
     489: 1
     491: 1
     493: 1
     495: 1
     497: 1
     498: 1
     499: 1
     501: 1
     503: 1
     505: 1
     507: 1
     508: 1
     511: 1
     515: 1
     516: q+1
     517: 1
     518: q+1
     519: 1
     520: 1
     521: 1
     523: 1
     525: 1
     526: 1
     527: 1
     528: 1
     535: 1
     537: 1
     539: 1
     541: 1
     543: 1
     545: 1
     561: 1
     563: 1
     565: 1
     567: 1
     569: q+1
     571: 1
     573: 1
     587: 1
     589: 1
     591: 1
     593: 1
     595: 1
     596: 1
     597: 1
     598: 1
     603: 1
     604: 1
     605: 1
     606: 1
     608: 1
     627: 1
     629: 1
     631: 1
     633: 1
     651: 1
     653: 1
     655: 1
     657: 1
     659: 1
     683: 1
     689: 1
     690: 1
     691: 1
     711: 1
     729: 1
     731: 1
     733: 1
     754: 1
     789: 1

790:   0: q^2+2q+1
       1: q^3+2q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: q^3+2q+1
       6: q^3+2q+1
       7: q^3+2q+1
       8: q^2+2q+1
       9: q^3+2q+1
      10: q^3+2q+1
      11: q^3+2q+1
      12: q^2+2q+1
      13: q^3+2q+1
      14: q^4+q^3+q+1
      15: q^3+2q+1
      16: q^3+2q+1
      17: q^3+2q+1
      18: q^3+2q+1
      19: 2q+1
      20: 2q+1
      21: 2q+1
      22: q^3+q+1
      23: q^2+2q+1
      24: q^2+2q+1
      25: q^3+2q+1
      26: q^3+2q+1
      27: q^2+2q+1
      28: q^3+2q+1
      29: q^3+2q+1
      30: q^2+2q+1
      31: q+1
      32: q+1
      33: q+1
      34: q+1
      35: q^2+2q+1
      36: q^3+2q+1
      37: q^2+2q+1
      38: q^3+2q+1
      39: q^3+2q+1
      40: q^3+2q+1
      41: 2q+1
      42: q+1
      43: q+1
      44: q+1
      45: q^3+2q+1
      46: 2q+1
      47: q^2+2q+1
      49: q+1
      51: q+1
      53: q+1
      55: q+1
      56: 2q+1
      57: 2q+1
      58: 2q+1
      59: q^3+q+1
      60: 2q+1
      61: 2q+1
      62: 2q+1
      63: q^3+q+1
      64: q^2+2q+1
      65: q^3+2q+1
      66: q^2+2q+1
      67: q^3+2q+1
      68: q+1
      69: q+1
      70: q+1
      71: q+1
      72: q^2+2q+1
      73: q^3+2q+1
      74: q^2+2q+1
      75: q^3+2q+1
      77: q+1
      79: q+1
      81: q+1
      82: q+1
      83: 2q+1
      84: 2q+1
      85: q^3+2q+1
      86: q^2+2q+1
      87: q+1
      89: q+1
      91: q+1
      93: q+1
      95: q+1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     100: 2q+1
     101: 2q+1
     102: q^3+2q+1
     103: 2q+1
     104: 2q+1
     105: 2q+1
     106: 2q+1
     107: q^3+q+1
     108: 2q+1
     109: 2q+1
     110: 2q+1
     111: q^3+q+1
     112: q+1
     113: q+1
     114: q+1
     115: q+1
     116: q^2+2q+1
     117: q^3+2q+1
     118: q^2+2q+1
     119: q^3+2q+1
     120: q+1
     121: q+1
     122: q+1
     123: q+1
     125: q+1
     127: q+1
     129: q+1
     131: q+1
     133: q+1
     134: q+1
     135: 2q+1
     137: q+1
     139: q+1
     141: q+1
     143: q+1
     144: q+1
     145: 2q+1
     146: 2q+1
     147: q+1
     148: q+1
     149: q+1
     150: q+1
     152: q+1
     153: q+1
     154: 2q+1
     155: 2q+1
     156: q^3+2q+1
     157: 2q+1
     158: q^2+2q+1
     159: q+1
     160: q+1
     161: q+1
     163: q+1
     165: q+1
     167: q+1
     169: q+1
     170: 2q+1
     171: 2q+1
     172: 2q+1
     173: q^3+q+1
     174: 1
     175: 1
     176: 1
     177: 1
     178: 2q+1
     179: 2q+1
     180: 2q+1
     181: q^3+q+1
     182: q+1
     183: q+1
     184: q+1
     185: q+1
     187: q+1
     189: q+1
     191: q+1
     193: q+1
     195: q+1
     199: q+1
     201: q+1
     203: q+1
     205: q+1
     207: 1
     209: 1
     211: 1
     213: 1
     214: q+1
     215: q+1
     216: 2q+1
     217: 2q+1
     218: 2q+1
     219: q+1
     220: q+1
     221: q+1
     222: 1
     223: 1
     225: 1
     226: 2q+1
     227: q+1
     228: 2q+1
     229: 2q+1
     230: q+1
     231: q+1
     233: q+1
     235: q+1
     237: q+1
     239: q+1
     240: q+1
     242: q+1
     243: q+1
     244: q+1
     245: q+1
     246: q+1
     247: q+1
     248: 1
     249: 1
     250: 1
     251: 1
     252: 2q+1
     253: 2q+1
     254: 2q+1
     255: q^3+q+1
     256: 1
     257: 1
     258: 1
     259: 1
     261: 1
     263: 1
     265: q+1
     267: 1
     269: q+1
     271: q+1
     277: q+1
     279: q+1
     281: q+1
     283: q+1
     287: q+1
     289: 1
     291: 1
     293: 1
     295: 1
     296: q+1
     297: 2q+1
     298: q+1
     299: q+1
     300: q+1
     302: q+1
     304: q+1
     306: q+1
     308: q+1
     309: 1
     310: 1
     311: 1
     314: 1
     315: 1
     317: q+1
     318: q+1
     319: 2q+1
     320: 2q+1
     321: 2q+1
     322: q+1
     323: q+1
     324: q+1
     326: 1
     328: 1
     330: 1
     332: 1
     333: q+1
     334: 1
     335: 1
     337: 1
     338: 1
     339: 1
     340: 1
     341: 1
     342: 1
     343: 1
     344: 1
     345: 1
     347: 1
     349: 1
     351: 1
     353: 1
     355: 1
     357: q+1
     359: q+1
     361: q+1
     371: q+1
     373: 1
     375: q+1
     377: q+1
     379: 1
     381: 1
     383: q+1
     390: q+1
     391: 1
     392: q+1
     393: 1
     395: 1
     397: 1
     399: 1
     401: 1
     402: 1
     403: 1
     405: 1
     408: q+1
     409: 2q+1
     410: q+1
     411: q+1
     412: 1
     414: 1
     416: 1
     418: 1
     420: 1
     421: 1
     422: 1
     423: 1
     426: 1
     427: 1
     428: 1
     429: 1
     430: 1
     431: 1
     432: 1
     433: 1
     434: 1
     435: 1
     443: 1
     445: 1
     447: 1
     449: 1
     451: q+1
     453: 1
     465: 1
     467: q+1
     469: 1
     471: q+1
     473: 1
     475: 1
     477: 1
     479: 1
     488: 1
     490: 1
     492: 1
     494: 1
     496: 1
     497: 1
     498: 1
     500: 1
     502: 1
     504: 1
     506: 1
     507: 1
     508: 1
     511: 1
     515: 1
     516: q+1
     517: 1
     518: q+1
     519: 1
     520: 1
     521: 1
     523: 1
     525: 1
     526: 1
     527: 1
     528: 1
     536: 1
     538: 1
     540: 1
     542: 1
     544: 1
     546: 1
     562: 1
     564: 1
     566: 1
     568: 1
     570: q+1
     572: 1
     574: 1
     588: 1
     590: 1
     592: 1
     594: 1
     595: 1
     596: 1
     597: 1
     598: 1
     603: 1
     604: 1
     605: 1
     606: 1
     608: 1
     628: 1
     630: 1
     632: 1
     634: 1
     652: 1
     654: 1
     656: 1
     658: 1
     660: 1
     683: 1
     689: 1
     690: 1
     691: 1
     712: 1
     730: 1
     732: 1
     734: 1
     754: 1
     790: 1

791:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^3+2q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: q^2+2q+1
       6: q^2+2q+1
       7: q^2+2q+1
       8: q^3+2q^2+2q+1
       9: q^2+2q+1
      10: q^2+2q+1
      11: q+1
      12: q^3+2q^2+2q+1
      13: q+1
      14: q+1
      15: q^2+2q+1
      16: q^2+2q+1
      17: q^2+2q+1
      18: q+1
      19: q^2+2q+1
      20: q^2+2q+1
      21: q^2+2q+1
      22: q+1
      23: q^2+2q+1
      24: q^2+2q+1
      25: q+1
      26: q+1
      27: q^2+2q+1
      28: q^2+2q+1
      29: q^2+2q+1
      30: q^3+2q^2+2q+1
      31: q+1
      32: q+1
      33: q^2+q+1
      34: q+1
      35: q^2+2q+1
      36: q^2+2q+1
      37: q^3+2q^2+2q+1
      38: q^2+2q+1
      39: q+1
      40: q^2+2q+1
      41: q^2+2q+1
      42: q+1
      43: q+1
      44: q+1
      45: q^2+2q+1
      46: q^2+2q+1
      47: q^2+2q+1
      48: q+1
      50: q+1
      52: q^2+q+1
      54: q+1
      56: q^2+2q+1
      57: q^2+2q+1
      58: q^2+2q+1
      59: q+1
      60: q^2+2q+1
      61: q^2+2q+1
      62: q+1
      63: q+1
      64: q^2+2q+1
      65: q+1
      66: q^2+2q+1
      67: q+1
      68: q+1
      69: q+1
      70: q^2+q+1
      71: q+1
      72: q^2+2q+1
      73: q^2+2q+1
      74: q^3+2q^2+2q+1
      75: q^2+2q+1
      76: q+1
      78: q+1
      80: q+1
      82: q+1
      83: q+1
      84: q^2+2q+1
      85: q+1
      86: q^2+2q+1
      87: q+1
      88: q+1
      90: q+1
      92: q^2+q+1
      94: q+1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     100: q^2+2q+1
     101: q^2+2q+1
     102: q^2+2q+1
     103: q^2+2q+1
     104: q^2+2q+1
     105: q^2+2q+1
     106: q+1
     107: q+1
     108: q^2+2q+1
     109: q+1
     110: q^2+2q+1
     111: q+1
     112: q+1
     113: 1
     114: q+1
     115: 1
     116: q^2+2q+1
     117: q+1
     118: q^2+2q+1
     119: q+1
     120: q+1
     121: q+1
     122: q^2+q+1
     123: q+1
     124: q+1
     126: q+1
     128: q+1
     130: q+1
     132: q+1
     134: q+1
     135: q+1
     136: q+1
     138: 1
     140: q+1
     142: 1
     144: q+1
     145: q+1
     146: q^2+2q+1
     147: q+1
     148: q+1
     149: 1
     150: 1
     152: q+1
     153: q+1
     154: q^2+2q+1
     155: q+1
     156: q+1
     157: q^2+2q+1
     158: q^2+2q+1
     159: q+1
     160: q+1
     161: q+1
     162: q+1
     164: q+1
     166: q^2+q+1
     168: q+1
     170: q^2+2q+1
     171: q+1
     172: q^2+2q+1
     173: q+1
     174: q+1
     175: 1
     176: q+1
     177: 1
     178: q^2+2q+1
     179: q+1
     180: q^2+2q+1
     181: q+1
     182: q+1
     183: 1
     184: q+1
     185: 1
     186: 1
     188: 1
     190: q+1
     192: q+1
     194: q+1
     198: q+1
     200: q+1
     202: q+1
     204: q+1
     206: q+1
     208: 1
     210: q+1
     212: 1
     214: q+1
     215: q+1
     216: q+1
     217: q^2+2q+1
     218: q+1
     219: q+1
     220: 1
     221: 1
     222: 1
     223: 1
     225: q+1
     226: q+1
     227: q+1
     228: q+1
     229: q^2+2q+1
     230: q+1
     231: 1
     232: q+1
     234: 1
     236: q+1
     238: 1
     240: 1
     242: q+1
     243: q+1
     244: q+1
     245: 1
     246: q+1
     247: 1
     248: q+1
     249: 1
     250: q+1
     251: 1
     252: q^2+2q+1
     253: q+1
     254: q^2+2q+1
     255: q+1
     256: q+1
     257: 1
     258: q+1
     259: 1
     260: 1
     262: 1
     264: 1
     266: q+1
     268: 1
     270: q+1
     276: q+1
     278: q+1
     280: 1
     282: 1
     286: q+1
     288: q+1
     290: 1
     292: q+1
     294: 1
     296: q+1
     297: q+1
     298: 1
     299: 1
     300: 1
     301: q+1
     303: 1
     305: q+1
     307: 1
     309: 1
     310: 1
     311: 1
     314: q+1
     315: 1
     317: q+1
     318: q+1
     319: q+1
     320: q^2+2q+1
     321: q+1
     322: q+1
     323: 1
     324: q+1
     325: q+1
     327: 1
     329: q+1
     331: 1
     333: 1
     334: 1
     335: 1
     337: q+1
     338: q+1
     339: 1
     340: q+1
     341: 1
     342: q+1
     343: 1
     344: q+1
     345: 1
     346: 1
     348: 1
     350: 1
     352: q+1
     354: 1
     356: 1
     358: 1
     360: 1
     370: 1
     372: q+1
     374: q+1
     376: q+1
     378: 1
     380: 1
     382: 1
     390: q+1
     391: 1
     392: 1
     393: 1
     394: q+1
     396: 1
     398: q+1
     400: 1
     402: 1
     403: 1
     405: 1
     408: q+1
     409: q+1
     410: 1
     411: 1
     412: q+1
     413: q+1
     415: 1
     417: q+1
     419: 1
     421: 1
     422: 1
     423: 1
     426: q+1
     427: 1
     428: 1
     429: 1
     430: 1
     432: q+1
     433: 1
     434: q+1
     435: 1
     442: 1
     444: 1
     446: 1
     448: 1
     450: 1
     452: 1
     464: 1
     466: 1
     468: q+1
     470: 1
     472: q+1
     474: 1
     476: 1
     478: 1
     489: 1
     491: 1
     493: 1
     497: 1
     498: 1
     499: q+1
     501: 1
     503: q+1
     505: 1
     507: 1
     508: 1
     511: 1
     515: 1
     516: q+1
     517: 1
     518: 1
     519: q+1
     520: 1
     521: 1
     523: 1
     525: 1
     526: 1
     527: 1
     537: 1
     539: 1
     541: 1
     543: 1
     545: 1
     561: 1
     563: 1
     565: 1
     567: 1
     569: 1
     571: q+1
     573: 1
     587: 1
     589: 1
     591: 1
     597: 1
     598: 1
     603: 1
     604: 1
     605: 1
     606: 1
     608: 1
     611: 1
     612: 1
     613: 1
     631: 1
     633: 1
     651: 1
     653: 1
     655: 1
     657: 1
     659: 1
     673: 1
     675: 1
     677: 1
     682: 1
     688: 1
     690: 1
     691: 1
     709: 1
     727: 1
     731: 1
     733: 1
     755: 1
     791: 1

792:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^3+2q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: q^2+2q+1
       6: q^2+2q+1
       7: q^2+2q+1
       8: q^3+2q^2+2q+1
       9: q^2+2q+1
      10: q^2+2q+1
      11: q+1
      12: q^3+2q^2+2q+1
      13: q+1
      14: q+1
      15: q^2+2q+1
      16: q^2+2q+1
      17: q^2+2q+1
      18: q+1
      19: q^2+2q+1
      20: q^2+2q+1
      21: q^2+2q+1
      22: q+1
      23: q^2+2q+1
      24: q^2+2q+1
      25: q+1
      26: q+1
      27: q^2+2q+1
      28: q^2+2q+1
      29: q^2+2q+1
      30: q^3+2q^2+2q+1
      31: q+1
      32: q+1
      33: q^2+q+1
      34: q+1
      35: q^2+2q+1
      36: q^2+2q+1
      37: q^3+2q^2+2q+1
      38: q^2+2q+1
      39: q+1
      40: q^2+2q+1
      41: q^2+2q+1
      42: q+1
      43: q+1
      44: q+1
      45: q^2+2q+1
      46: q^2+2q+1
      47: q^2+2q+1
      49: q+1
      51: q+1
      53: q^2+q+1
      55: q+1
      56: q^2+2q+1
      57: q^2+2q+1
      58: q^2+2q+1
      59: q+1
      60: q^2+2q+1
      61: q^2+2q+1
      62: q+1
      63: q+1
      64: q^2+2q+1
      65: q+1
      66: q^2+2q+1
      67: q+1
      68: q+1
      69: q+1
      70: q^2+q+1
      71: q+1
      72: q^2+2q+1
      73: q^2+2q+1
      74: q^3+2q^2+2q+1
      75: q^2+2q+1
      77: q+1
      79: q+1
      81: q+1
      82: q+1
      83: q+1
      84: q^2+2q+1
      85: q+1
      86: q^2+2q+1
      87: q+1
      89: q+1
      91: q+1
      93: q^2+q+1
      95: q+1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     100: q^2+2q+1
     101: q^2+2q+1
     102: q^2+2q+1
     103: q^2+2q+1
     104: q^2+2q+1
     105: q^2+2q+1
     106: q+1
     107: q+1
     108: q^2+2q+1
     109: q+1
     110: q^2+2q+1
     111: q+1
     112: q+1
     113: 1
     114: q+1
     115: 1
     116: q^2+2q+1
     117: q+1
     118: q^2+2q+1
     119: q+1
     120: q+1
     121: q+1
     122: q^2+q+1
     123: q+1
     125: q+1
     127: q+1
     129: q+1
     131: q+1
     133: q+1
     134: q+1
     135: q+1
     137: q+1
     139: 1
     141: q+1
     143: 1
     144: q+1
     145: q+1
     146: q^2+2q+1
     147: q+1
     148: q+1
     149: 1
     150: 1
     152: q+1
     153: q+1
     154: q^2+2q+1
     155: q+1
     156: q+1
     157: q^2+2q+1
     158: q^2+2q+1
     159: q+1
     160: q+1
     161: q+1
     163: q+1
     165: q+1
     167: q^2+q+1
     169: q+1
     170: q^2+2q+1
     171: q+1
     172: q^2+2q+1
     173: q+1
     174: q+1
     175: 1
     176: q+1
     177: 1
     178: q^2+2q+1
     179: q+1
     180: q^2+2q+1
     181: q+1
     182: q+1
     183: 1
     184: q+1
     185: 1
     187: 1
     189: 1
     191: q+1
     193: q+1
     195: q+1
     199: q+1
     201: q+1
     203: q+1
     205: q+1
     207: q+1
     209: 1
     211: q+1
     213: 1
     214: q+1
     215: q+1
     216: q+1
     217: q^2+2q+1
     218: q+1
     219: q+1
     220: 1
     221: 1
     222: 1
     223: 1
     225: q+1
     226: q+1
     227: q+1
     228: q+1
     229: q^2+2q+1
     230: q+1
     231: 1
     233: q+1
     235: 1
     237: q+1
     239: 1
     240: 1
     242: q+1
     243: q+1
     244: q+1
     245: 1
     246: q+1
     247: 1
     248: q+1
     249: 1
     250: q+1
     251: 1
     252: q^2+2q+1
     253: q+1
     254: q^2+2q+1
     255: q+1
     256: q+1
     257: 1
     258: q+1
     259: 1
     261: 1
     263: 1
     265: 1
     267: q+1
     269: 1
     271: q+1
     277: q+1
     279: q+1
     281: 1
     283: 1
     287: q+1
     289: q+1
     291: 1
     293: q+1
     295: 1
     296: q+1
     297: q+1
     298: 1
     299: 1
     300: 1
     302: q+1
     304: 1
     306: q+1
     308: 1
     309: 1
     310: 1
     311: 1
     314: q+1
     315: 1
     317: q+1
     318: q+1
     319: q+1
     320: q^2+2q+1
     321: q+1
     322: q+1
     323: 1
     324: q+1
     326: q+1
     328: 1
     330: q+1
     332: 1
     333: 1
     334: 1
     335: 1
     337: q+1
     338: q+1
     339: 1
     340: q+1
     341: 1
     342: q+1
     343: 1
     344: q+1
     345: 1
     347: 1
     349: 1
     351: 1
     353: q+1
     355: 1
     357: 1
     359: 1
     361: 1
     371: 1
     373: q+1
     375: q+1
     377: q+1
     379: 1
     381: 1
     383: 1
     390: q+1
     391: 1
     392: 1
     393: 1
     395: q+1
     397: 1
     399: q+1
     401: 1
     402: 1
     403: 1
     405: 1
     408: q+1
     409: q+1
     410: 1
     411: 1
     412: q+1
     414: q+1
     416: 1
     418: q+1
     420: 1
     421: 1
     422: 1
     423: 1
     426: q+1
     427: 1
     428: 1
     429: 1
     430: 1
     432: q+1
     433: 1
     434: q+1
     435: 1
     443: 1
     445: 1
     447: 1
     449: 1
     451: 1
     453: 1
     465: 1
     467: 1
     469: q+1
     471: 1
     473: q+1
     475: 1
     477: 1
     479: 1
     490: 1
     492: 1
     494: 1
     497: 1
     498: 1
     500: q+1
     502: 1
     504: q+1
     506: 1
     507: 1
     508: 1
     511: 1
     515: 1
     516: q+1
     517: 1
     518: 1
     519: q+1
     520: 1
     521: 1
     523: 1
     525: 1
     526: 1
     527: 1
     538: 1
     540: 1
     542: 1
     544: 1
     546: 1
     562: 1
     564: 1
     566: 1
     568: 1
     570: 1
     572: q+1
     574: 1
     588: 1
     590: 1
     592: 1
     597: 1
     598: 1
     603: 1
     604: 1
     605: 1
     606: 1
     608: 1
     611: 1
     612: 1
     613: 1
     632: 1
     634: 1
     652: 1
     654: 1
     656: 1
     658: 1
     660: 1
     674: 1
     676: 1
     678: 1
     682: 1
     688: 1
     690: 1
     691: 1
     710: 1
     728: 1
     732: 1
     734: 1
     755: 1
     792: 1

793:   0: 3q+1
       1: 3q+1
       2: 3q+1
       3: q^2+2q+1
       4: 3q+1
       5: 2q^3+q+1
       6: q^2+2q+1
       7: 3q+1
       8: 3q+1
       9: q^4+q^3+q+1
      10: 2q^3+q+1
      11: q^2+2q+1
      12: q^2+2q+1
      13: q^4+q^3+q+1
      14: q^4+q^3+q+1
      15: q+1
      16: q+1
      17: q+1
      18: q+1
      19: 3q+1
      20: q^2+2q+1
      21: 3q+1
      22: q^4+q^3+q+1
      23: 3q+1
      24: 3q+1
      25: q^2+2q+1
      26: q^4+q^3+q+1
      27: 2q+1
      28: 2q+1
      29: q^3+q+1
      30: 2q+1
      31: 3q+1
      32: 3q+1
      33: 3q+1
      34: 2q^3+q+1
      35: 3q+1
      36: 3q+1
      37: 3q+1
      38: 2q^3+q+1
      39: q+1
      40: q+1
      41: 2q+1
      42: q+1
      43: 3q+1
      44: 3q+1
      45: q+1
      46: 3q+1
      47: 3q+1
      48: 2q+1
      49: q
      50: 2q+1
      51: q
      52: 2q+1
      53: q
      54: q^3+q+1
      55: q^3
      56: q+1
      57: q+1
      58: q+1
      59: q+1
      60: 3q+1
      61: 3q+1
      62: q^2+2q+1
      63: q^4+q^3+q+1
      64: 2q+1
      65: 2q+1
      66: 2q+1
      67: q^3+q+1
      68: 2q+1
      69: 2q+1
      70: 2q+1
      71: q^3+q+1
      72: 2q+1
      73: 2q+1
      74: 2q+1
      75: q^3+q+1
      76: q+1
      78: 2q+1
      79: q
      80: 2q+1
      81: q
      82: q+1
      83: 2q+1
      84: q+1
      85: q+1
      86: q+1
      87: q+1
      88: q+1
      90: q+1
      92: q+1
      94: q+1
      96: q+1
      97: 3q+1
      98: q+1
      99: 2q+1
     100: q+1
     101: 3q+1
     102: q+1
     103: 2q+1
     104: q+1
     105: q+1
     106: q+1
     107: q+1
     108: 2q+1
     109: 2q+1
     110: 2q+1
     111: q^3+q+1
     112: 2q+1
     113: 2q+1
     114: 2q+1
     115: q^3+q+1
     116: 2q+1
     117: 2q+1
     118: 2q+1
     119: q^3+q+1
     120: 2q+1
     121: 2q+1
     122: 2q+1
     123: q^3+q+1
     124: 1
     126: q+1
     128: q+1
     130: q+1
     132: 2q+1
     133: q
     134: q+1
     135: q+1
     136: q+1
     138: q+1
     140: q+1
     142: q+1
     144: q+1
     145: 2q+1
     146: q+1
     147: q+1
     148: q+1
     149: 2q+1
     150: q+1
     151: q+1
     152: q+1
     153: q+1
     154: q+1
     155: 2q+1
     156: q+1
     157: q+1
     158: q+1
     159: q+1
     160: q+1
     161: 2q+1
     162: q+1
     164: q+1
     166: q+1
     168: q+1
     170: 1
     171: 1
     172: 1
     173: 1
     174: 2q+1
     175: 2q+1
     176: 2q+1
     177: q^3+q+1
     178: 2q+1
     179: 2q+1
     180: 2q+1
     181: q^3+q+1
     182: 2q+1
     183: 2q+1
     184: 2q+1
     185: q^3+q+1
     186: q+1
     188: q+1
     190: 1
     192: 1
     194: q+1
     196: 1
     198: 1
     200: q+1
     202: q+1
     204: q+1
     206: q+1
     208: q+1
     210: q+1
     212: q+1
     214: q+1
     215: 1
     216: 1
     217: 1
     218: q+1
     219: 1
     220: q+1
     221: q+1
     222: q+1
     223: 2q+1
     224: q+1
     225: q+1
     226: q+1
     227: q+1
     228: 2q+1
     229: q+1
     230: q+1
     231: 2q+1
     232: q+1
     234: q+1
     236: q+1
     238: q+1
     240: q+1
     241: q+1
     242: q+1
     243: q+1
     244: 2
     245: q+1
     246: 2
     247: q+1
     248: 1
     249: 1
     250: 1
     251: 1
     252: 1
     253: 1
     254: 1
     255: 1
     256: 2q+1
     257: 2q+1
     258: 2q+1
     259: q^3+q+1
     260: q+1
     262: q+1
     264: q+1
     266: 1
     268: 1
     270: 1
     272: 1
     274: 1
     276: 1
     278: 1
     280: q+1
     282: q+1
     284: 1
     286: q+1
     296: 1
     297: 1
     298: 1
     299: 1
     300: q+1
     301: 2
     303: q+1
     305: 2
     307: q+1
     309: q+1
     310: 1
     311: 1
     312: 1
     313: q+1
     314: 1
     315: q+1
     316: 2
     317: q+1
     318: 1
     319: 1
     320: 1
     321: q+1
     322: 1
     323: q+1
     324: 2
     325: q+1
     327: q+1
     329: q+1
     331: q+1
     333: q+1
     334: q+1
     335: 2q+1
     336: q+1
     337: q+1
     338: 2
     339: q+1
     340: 2
     341: q+1
     342: 1
     343: 1
     344: 1
     345: 1
     350: q+1
     354: 1
     356: 1
     358: 1
     360: q+1
     362: 1
     364: 1
     366: 1
     368: 2
     370: 1
     372: 1
     374: 1
     376: 2
     378: q+1
     380: q+1
     382: q+1
     384: 1
     386: 1
     388: 1
     389: 1
     390: 1
     391: 1
     392: 1
     393: q+1
     394: 2
     396: q+1
     398: 2
     400: q+1
     402: 1
     403: 1
     404: 1
     405: 1
     406: 1
     407: 2
     408: 1
     409: 1
     410: 1
     411: 1
     412: 2
     421: q+1
     422: 1
     423: 1
     424: 1
     425: q+1
     426: 1
     427: q+1
     428: 2
     429: q+1
     430: 2
     431: q+1
     436: 1
     439: 1
     444: 1
     448: 1
     450: 1
     452: q+1
     454: 1
     456: 1
     460: 1
     462: 2
     464: 1
     466: 1
     470: 1
     472: 2
     478: q+1
     480: 1
     482: 1
     484: 1
     486: 1
     487: 1
     488: q+1
     489: 2
     491: q+1
     493: 2
     495: q+1
     497: 1
     498: 1
     509: 2
     510: 1
     511: 1
     512: 1
     514: 1
     515: 2
     516: 1
     517: 1
     518: 1
     520: 1
     521: 1
     522: 1
     523: 1
     524: 1
     529: 1
     532: 1
     535: q+1
     539: 1
     541: 1
     549: 2
     551: 1
     555: 1
     557: 1
     561: 2
     563: 1
     567: 1
     569: 1
     575: 1
     576: 1
     577: 1
     579: 1
     583: 1
     596: 1
     600: 1
     601: 1
     604: 1
     605: 1
     607: 1
     608: 1
     609: 1
     610: 1
     615: 1
     618: 1
     629: 1
     645: 1
     647: 1
     655: 1
     657: 1
     663: 1
     667: 1
     669: 1
     685: 1
     689: 1
     692: 1
     693: 1
     721: 1
     729: 1
     739: 1
     743: 1
     756: 1
     793: 1

794:   0: 3q+1
       1: 3q+1
       2: 3q+1
       3: q^2+2q+1
       4: 3q+1
       5: 2q^3+q+1
       6: q^2+2q+1
       7: 3q+1
       8: 3q+1
       9: q^4+q^3+q+1
      10: 2q^3+q+1
      11: q^2+2q+1
      12: q^2+2q+1
      13: q^4+q^3+q+1
      14: q^4+q^3+q+1
      15: q+1
      16: q+1
      17: q+1
      18: q+1
      19: 3q+1
      20: q^2+2q+1
      21: 3q+1
      22: q^4+q^3+q+1
      23: 3q+1
      24: 3q+1
      25: q^2+2q+1
      26: q^4+q^3+q+1
      27: 2q+1
      28: 2q+1
      29: q^3+q+1
      30: 2q+1
      31: 3q+1
      32: 3q+1
      33: 3q+1
      34: 2q^3+q+1
      35: 3q+1
      36: 3q+1
      37: 3q+1
      38: 2q^3+q+1
      39: q+1
      40: q+1
      41: 2q+1
      42: q+1
      43: 3q+1
      44: 3q+1
      45: q+1
      46: 3q+1
      47: 3q+1
      48: q
      49: 2q+1
      50: q
      51: 2q+1
      52: q
      53: 2q+1
      54: q^3
      55: q^3+q+1
      56: q+1
      57: q+1
      58: q+1
      59: q+1
      60: 3q+1
      61: 3q+1
      62: q^2+2q+1
      63: q^4+q^3+q+1
      64: 2q+1
      65: 2q+1
      66: 2q+1
      67: q^3+q+1
      68: 2q+1
      69: 2q+1
      70: 2q+1
      71: q^3+q+1
      72: 2q+1
      73: 2q+1
      74: 2q+1
      75: q^3+q+1
      77: q+1
      78: q
      79: 2q+1
      80: q
      81: 2q+1
      82: q+1
      83: 2q+1
      84: q+1
      85: q+1
      86: q+1
      87: q+1
      89: q+1
      91: q+1
      93: q+1
      95: q+1
      96: q+1
      97: 3q+1
      98: q+1
      99: 2q+1
     100: q+1
     101: 3q+1
     102: q+1
     103: 2q+1
     104: q+1
     105: q+1
     106: q+1
     107: q+1
     108: 2q+1
     109: 2q+1
     110: 2q+1
     111: q^3+q+1
     112: 2q+1
     113: 2q+1
     114: 2q+1
     115: q^3+q+1
     116: 2q+1
     117: 2q+1
     118: 2q+1
     119: q^3+q+1
     120: 2q+1
     121: 2q+1
     122: 2q+1
     123: q^3+q+1
     125: 1
     127: q+1
     129: q+1
     131: q+1
     132: q
     133: 2q+1
     134: q+1
     135: q+1
     137: q+1
     139: q+1
     141: q+1
     143: q+1
     144: q+1
     145: 2q+1
     146: q+1
     147: q+1
     148: q+1
     149: 2q+1
     150: q+1
     151: q+1
     152: q+1
     153: q+1
     154: q+1
     155: 2q+1
     156: q+1
     157: q+1
     158: q+1
     159: q+1
     160: q+1
     161: 2q+1
     163: q+1
     165: q+1
     167: q+1
     169: q+1
     170: 1
     171: 1
     172: 1
     173: 1
     174: 2q+1
     175: 2q+1
     176: 2q+1
     177: q^3+q+1
     178: 2q+1
     179: 2q+1
     180: 2q+1
     181: q^3+q+1
     182: 2q+1
     183: 2q+1
     184: 2q+1
     185: q^3+q+1
     187: q+1
     189: q+1
     191: 1
     193: 1
     195: q+1
     197: 1
     199: 1
     201: q+1
     203: q+1
     205: q+1
     207: q+1
     209: q+1
     211: q+1
     213: q+1
     214: q+1
     215: 1
     216: 1
     217: 1
     218: q+1
     219: 1
     220: q+1
     221: q+1
     222: q+1
     223: 2q+1
     224: q+1
     225: q+1
     226: q+1
     227: q+1
     228: 2q+1
     229: q+1
     230: q+1
     231: 2q+1
     233: q+1
     235: q+1
     237: q+1
     239: q+1
     240: q+1
     241: q+1
     242: q+1
     243: q+1
     244: 2
     245: q+1
     246: 2
     247: q+1
     248: 1
     249: 1
     250: 1
     251: 1
     252: 1
     253: 1
     254: 1
     255: 1
     256: 2q+1
     257: 2q+1
     258: 2q+1
     259: q^3+q+1
     261: q+1
     263: q+1
     265: q+1
     267: 1
     269: 1
     271: 1
     273: 1
     275: 1
     277: 1
     279: 1
     281: q+1
     283: q+1
     285: 1
     287: q+1
     296: 1
     297: 1
     298: 1
     299: 1
     300: q+1
     302: 2
     304: q+1
     306: 2
     308: q+1
     309: q+1
     310: 1
     311: 1
     312: 1
     313: q+1
     314: 1
     315: q+1
     316: 2
     317: q+1
     318: 1
     319: 1
     320: 1
     321: q+1
     322: 1
     323: q+1
     324: 2
     326: q+1
     328: q+1
     330: q+1
     332: q+1
     333: q+1
     334: q+1
     335: 2q+1
     336: q+1
     337: q+1
     338: 2
     339: q+1
     340: 2
     341: q+1
     342: 1
     343: 1
     344: 1
     345: 1
     351: q+1
     355: 1
     357: 1
     359: 1
     361: q+1
     363: 1
     365: 1
     367: 1
     369: 2
     371: 1
     373: 1
     375: 1
     377: 2
     379: q+1
     381: q+1
     383: q+1
     385: 1
     387: 1
     388: 1
     389: 1
     390: 1
     391: 1
     392: 1
     393: q+1
     395: 2
     397: q+1
     399: 2
     401: q+1
     402: 1
     403: 1
     404: 1
     405: 1
     406: 1
     407: 2
     408: 1
     409: 1
     410: 1
     411: 1
     412: 2
     421: q+1
     422: 1
     423: 1
     424: 1
     425: q+1
     426: 1
     427: q+1
     428: 2
     429: q+1
     430: 2
     431: q+1
     437: 1
     440: 1
     445: 1
     449: 1
     451: 1
     453: q+1
     455: 1
     457: 1
     461: 1
     463: 2
     465: 1
     467: 1
     471: 1
     473: 2
     479: q+1
     481: 1
     483: 1
     485: 1
     486: 1
     487: 1
     488: q+1
     490: 2
     492: q+1
     494: 2
     496: q+1
     497: 1
     498: 1
     509: 2
     510: 1
     511: 1
     512: 1
     514: 1
     515: 2
     516: 1
     517: 1
     518: 1
     520: 1
     521: 1
     522: 1
     523: 1
     524: 1
     530: 1
     533: 1
     536: q+1
     540: 1
     542: 1
     550: 2
     552: 1
     556: 1
     558: 1
     562: 2
     564: 1
     568: 1
     570: 1
     575: 1
     576: 1
     578: 1
     580: 1
     584: 1
     596: 1
     600: 1
     601: 1
     604: 1
     605: 1
     607: 1
     608: 1
     609: 1
     610: 1
     616: 1
     619: 1
     630: 1
     646: 1
     648: 1
     656: 1
     658: 1
     664: 1
     668: 1
     670: 1
     685: 1
     689: 1
     692: 1
     693: 1
     722: 1
     730: 1
     740: 1
     744: 1
     756: 1
     794: 1

795:   0: 3q^2+4q+1
       1: 3q^2+4q+1
       2: 3q^2+4q+1
       3: q^3+3q^2+3q+1
       4: 3q^2+4q+1
       5: 3q^2+4q+1
       6: q^3+3q^2+3q+1
       7: 3q^2+4q+1
       8: 3q^2+4q+1
       9: q^3+3q^2+3q+1
      10: 3q^2+4q+1
      11: q^4+2q^3+2q^2+2q+1
      12: q^3+3q^2+3q+1
      13: q^4+2q^3+2q^2+2q+1
      14: q^4+2q^3+2q^2+2q+1
      15: 3q^2+4q+1
      16: q^3+3q^2+3q+1
      17: 3q^2+4q+1
      18: q^4+2q^3+2q^2+2q+1
      19: 3q^2+4q+1
      20: q^3+3q^2+3q+1
      21: 3q^2+4q+1
      22: q^4+2q^3+2q^2+2q+1
      23: q^2+4q+1
      24: q^2+4q+1
      25: q^3+2q^2+2q+1
      26: q^3+2q^2+2q+1
      27: 2q^2+3q+1
      28: 2q^2+3q+1
      29: 2q^2+3q+1
      30: 2q^2+3q+1
      31: 3q^2+4q+1
      32: 3q^2+4q+1
      33: 3q^2+4q+1
      34: 3q^2+4q+1
      35: 3q^2+4q+1
      36: 3q^2+4q+1
      37: 3q^2+4q+1
      38: 3q^2+4q+1
      39: q^3+2q^2+2q+1
      40: 2q^2+3q+1
      41: 2q^2+3q+1
      42: 3q^2+4q+1
      43: 3q^2+4q+1
      44: q^2+4q+1
      45: 3q^2+4q+1
      46: 3q^2+4q+1
      47: q^2+4q+1
      48: 2q^2+3q+1
      49: q^2+q
      50: 2q^2+3q+1
      51: q^2+q
      52: 2q^2+3q+1
      53: q^2+q
      54: 2q^2+3q+1
      55: q^2+q
      56: 3q^2+4q+1
      57: q^3+3q^2+3q+1
      58: 3q^2+4q+1
      59: q^4+2q^3+2q^2+2q+1
      60: q^2+4q+1
      61: q^2+4q+1
      62: q^3+2q^2+2q+1
      63: q^3+2q^2+2q+1
      64: 3q+1
      65: q^2+2q+1
      66: 3q+1
      67: q^2+2q+1
      68: 2q^2+3q+1
      69: 2q^2+3q+1
      70: 2q^2+3q+1
      71: 2q^2+3q+1
      72: 2q^2+3q+1
      73: 2q^2+3q+1
      74: 2q^2+3q+1
      75: 2q^2+3q+1
      76: 2q^2+3q+1
      77: q^2+q
      78: 2q^2+3q+1
      79: q^2+q
      80: q^2+3q+1
      81: q
      82: q^3+2q^2+2q+1
      83: 2q+1
      84: 2q^2+3q+1
      85: q^2+2q+1
      86: 2q+1
      87: 2q+1
      88: q^2+2q+1
      90: q^2+2q+1
      92: q^2+2q+1
      94: q^2+2q+1
      96: 3q^2+4q+1
      97: q^2+4q+1
      98: 2q^2+3q+1
      99: 2q^2+3q+1
     100: 3q^2+4q+1
     101: q^2+4q+1
     102: 2q^2+3q+1
     103: 2q^2+3q+1
     104: q^2+4q+1
     105: q^2+4q+1
     106: q^3+2q^2+2q+1
     107: q^3+2q^2+2q+1
     108: 3q+1
     109: q^2+2q+1
     110: 3q+1
     111: q^2+2q+1
     112: 3q+1
     113: q^2+2q+1
     114: 3q+1
     115: q^2+2q+1
     116: 3q+1
     117: q^2+2q+1
     118: 3q+1
     119: q^2+2q+1
     120: 2q^2+3q+1
     121: 2q^2+3q+1
     122: 2q^2+3q+1
     123: 2q^2+3q+1
     124: q+1
     126: q^2+2q+1
     128: q^2+2q+1
     130: 2q^2+3q+1
     131: q^2+q
     132: q^2+3q+1
     133: q
     134: q^3+2q^2+2q+1
     135: 2q+1
     136: q+1
     138: q+1
     140: q+1
     142: q+1
     144: q^2+2q+1
     145: 2q+1
     146: 2q+1
     147: 2q+1
     148: q^2+4q+1
     149: 2q+1
     150: q^2+2q+1
     151: 2q+1
     152: 2q^2+3q+1
     153: 2q+1
     154: q^2+4q+1
     155: 2q+1
     156: q^2+2q+1
     157: 2q^2+3q+1
     158: 2q+1
     159: 2q+1
     160: 2q^2+3q+1
     161: 2q^2+3q+1
     162: q^2+2q+1
     164: q^2+2q+1
     166: q^2+2q+1
     168: q^2+2q+1
     170: 3q+1
     171: q^2+2q+1
     172: 3q+1
     173: q^2+2q+1
     174: 3q+1
     175: q^2+2q+1
     176: 3q+1
     177: q^2+2q+1
     178: 3q+1
     179: q^2+2q+1
     180: 3q+1
     181: q^2+2q+1
     182: 3q+1
     183: q^2+2q+1
     184: 3q+1
     185: q^2+2q+1
     186: q+1
     188: q+1
     190: 1
     192: q+1
     194: q^2+2q+1
     196: q+1
     198: q+1
     200: q^2+3q+1
     201: q
     202: q^2+2q+1
     204: q^2+2q+1
     206: q+1
     208: q+1
     210: q+1
     212: q+1
     214: 2q+1
     215: q^2+2q+1
     216: 2q+1
     217: 2q+1
     218: q+1
     219: 2q+1
     220: q+1
     221: 2q+1
     222: q^2+2q+1
     223: 2q+1
     224: 2q+1
     225: 2q+1
     226: 2q+1
     227: q^2+2q+1
     228: 2q+1
     229: 2q+1
     230: 2q+1
     231: 2q+1
     232: q+1
     234: q+1
     236: q+1
     238: q+1
     240: q^2+2q+1
     241: 2q+1
     242: 2q+1
     243: 2q^2+3q+1
     244: 2
     245: q+1
     246: 2
     247: q+1
     248: 3q+1
     249: q^2+2q+1
     250: 3q+1
     251: q^2+2q+1
     252: 3q+1
     253: q^2+2q+1
     254: 3q+1
     255: q^2+2q+1
     256: 3q+1
     257: q^2+2q+1
     258: 3q+1
     259: q^2+2q+1
     260: q+1
     262: q+1
     264: q+1
     266: 1
     268: 1
     270: q+1
     272: 1
     274: q+1
     276: 1
     278: q+1
     280: q+1
     282: q+1
     284: q+1
     286: q^2+2q+1
     288: q+1
     290: q+1
     292: q+1
     294: q+1
     296: 2q+1
     297: q+1
     298: q+1
     299: 1
     300: q+1
     301: 2
     303: q+1
     305: 2
     307: q+1
     309: 2q+1
     310: q^2+2q+1
     311: 2q+1
     312: 2q+1
     313: q+1
     314: 2q+1
     315: q+1
     316: 2
     317: 2q+1
     318: q^2+2q+1
     319: 2q+1
     320: 2q+1
     321: q+1
     322: 2q+1
     323: q+1
     324: 2
     325: q+1
     327: q+1
     329: q+1
     331: q+1
     333: 2q+1
     334: q^2+2q+1
     335: 2q+1
     336: 2q+1
     337: 2q+1
     338: 2
     339: q+1
     340: 2
     341: q+1
     342: 3q+1
     343: q^2+2q+1
     344: 3q+1
     345: q^2+2q+1
     346: q+1
     348: q+1
     350: q+1
     352: 1
     354: 1
     356: 1
     358: 1
     360: q+1
     362: 1
     364: 1
     366: q+1
     368: 2
     370: 1
     372: 1
     374: q+1
     376: 2
     378: q+1
     380: q+1
     382: q+1
     384: q+1
     386: 1
     388: 1
     389: 1
     390: q+1
     391: q+1
     392: 1
     393: q+1
     394: 2
     396: q+1
     398: 2
     400: q+1
     402: 1
     403: 2q+1
     404: q+1
     405: q+1
     406: 1
     407: 2
     408: 2q+1
     409: q+1
     410: q+1
     411: 1
     412: 2
     413: q+1
     415: q+1
     417: q+1
     419: q+1
     421: 2q+1
     422: q^2+2q+1
     423: 2q+1
     424: 2q+1
     425: q+1
     426: 2q+1
     427: q+1
     432: 2
     433: q+1
     434: 2
     435: q+1
     436: 1
     439: 1
     442: q+1
     444: 1
     446: 1
     448: 1
     450: 1
     452: q+1
     454: 1
     456: 1
     458: 1
     460: 1
     462: 2
     464: 1
     466: 1
     468: 1
     470: 1
     472: 2
     474: q+1
     476: q+1
     478: q+1
     480: 1
     482: 1
     484: q+1
     486: 1
     487: 1
     498: 1
     499: 2
     501: q+1
     503: 2
     505: q+1
     507: q+1
     508: 1
     510: q+1
     511: q+1
     512: 1
     513: 2
     514: 1
     516: q+1
     517: q+1
     518: 1
     519: 2
     520: 1
     521: 2q+1
     522: q+1
     523: q+1
     524: 1
     529: 1
     532: 1
     537: 1
     541: 1
     543: 1
     545: q+1
     551: 1
     553: 1
     555: 1
     557: 1
     559: 2
     563: 1
     565: 1
     567: 1
     569: 1
     571: 2
     573: q+1
     577: 1
     579: 1
     581: 1
     583: 1
     585: 1
     586: 1
     598: 1
     601: 1
     602: 1
     605: 1
     606: 1
     607: q+1
     608: q+1
     609: 1
     610: 1
     621: 1
     624: 1
     633: 1
     643: 1
     647: 1
     649: 1
     653: 1
     657: 1
     659: 1
     663: 1
     665: 1
     667: 1
     669: 1
     687: 1
     691: 1
     692: 1
     694: 1
     725: 1
     733: 1
     737: 1
     739: 1
     741: 1
     758: 1
     795: 1

796:   0: 3q^2+4q+1
       1: 3q^2+4q+1
       2: 3q^2+4q+1
       3: q^3+3q^2+3q+1
       4: 3q^2+4q+1
       5: 3q^2+4q+1
       6: q^3+3q^2+3q+1
       7: 3q^2+4q+1
       8: 3q^2+4q+1
       9: q^3+3q^2+3q+1
      10: 3q^2+4q+1
      11: q^4+2q^3+2q^2+2q+1
      12: q^3+3q^2+3q+1
      13: q^4+2q^3+2q^2+2q+1
      14: q^4+2q^3+2q^2+2q+1
      15: 3q^2+4q+1
      16: q^3+3q^2+3q+1
      17: 3q^2+4q+1
      18: q^4+2q^3+2q^2+2q+1
      19: 3q^2+4q+1
      20: q^3+3q^2+3q+1
      21: 3q^2+4q+1
      22: q^4+2q^3+2q^2+2q+1
      23: q^2+4q+1
      24: q^2+4q+1
      25: q^3+2q^2+2q+1
      26: q^3+2q^2+2q+1
      27: 2q^2+3q+1
      28: 2q^2+3q+1
      29: 2q^2+3q+1
      30: 2q^2+3q+1
      31: 3q^2+4q+1
      32: 3q^2+4q+1
      33: 3q^2+4q+1
      34: 3q^2+4q+1
      35: 3q^2+4q+1
      36: 3q^2+4q+1
      37: 3q^2+4q+1
      38: 3q^2+4q+1
      39: q^3+2q^2+2q+1
      40: 2q^2+3q+1
      41: 2q^2+3q+1
      42: 3q^2+4q+1
      43: 3q^2+4q+1
      44: q^2+4q+1
      45: 3q^2+4q+1
      46: 3q^2+4q+1
      47: q^2+4q+1
      48: q^2+q
      49: 2q^2+3q+1
      50: q^2+q
      51: 2q^2+3q+1
      52: q^2+q
      53: 2q^2+3q+1
      54: q^2+q
      55: 2q^2+3q+1
      56: 3q^2+4q+1
      57: q^3+3q^2+3q+1
      58: 3q^2+4q+1
      59: q^4+2q^3+2q^2+2q+1
      60: q^2+4q+1
      61: q^2+4q+1
      62: q^3+2q^2+2q+1
      63: q^3+2q^2+2q+1
      64: 3q+1
      65: q^2+2q+1
      66: 3q+1
      67: q^2+2q+1
      68: 2q^2+3q+1
      69: 2q^2+3q+1
      70: 2q^2+3q+1
      71: 2q^2+3q+1
      72: 2q^2+3q+1
      73: 2q^2+3q+1
      74: 2q^2+3q+1
      75: 2q^2+3q+1
      76: q^2+q
      77: 2q^2+3q+1
      78: q^2+q
      79: 2q^2+3q+1
      80: q
      81: q^2+3q+1
      82: q^3+2q^2+2q+1
      83: 2q+1
      84: 2q^2+3q+1
      85: q^2+2q+1
      86: 2q+1
      87: 2q+1
      89: q^2+2q+1
      91: q^2+2q+1
      93: q^2+2q+1
      95: q^2+2q+1
      96: 3q^2+4q+1
      97: q^2+4q+1
      98: 2q^2+3q+1
      99: 2q^2+3q+1
     100: 3q^2+4q+1
     101: q^2+4q+1
     102: 2q^2+3q+1
     103: 2q^2+3q+1
     104: q^2+4q+1
     105: q^2+4q+1
     106: q^3+2q^2+2q+1
     107: q^3+2q^2+2q+1
     108: 3q+1
     109: q^2+2q+1
     110: 3q+1
     111: q^2+2q+1
     112: 3q+1
     113: q^2+2q+1
     114: 3q+1
     115: q^2+2q+1
     116: 3q+1
     117: q^2+2q+1
     118: 3q+1
     119: q^2+2q+1
     120: 2q^2+3q+1
     121: 2q^2+3q+1
     122: 2q^2+3q+1
     123: 2q^2+3q+1
     125: q+1
     127: q^2+2q+1
     129: q^2+2q+1
     130: q^2+q
     131: 2q^2+3q+1
     132: q
     133: q^2+3q+1
     134: q^3+2q^2+2q+1
     135: 2q+1
     137: q+1
     139: q+1
     141: q+1
     143: q+1
     144: q^2+2q+1
     145: 2q+1
     146: 2q+1
     147: 2q+1
     148: q^2+4q+1
     149: 2q+1
     150: q^2+2q+1
     151: 2q+1
     152: 2q^2+3q+1
     153: 2q+1
     154: q^2+4q+1
     155: 2q+1
     156: q^2+2q+1
     157: 2q^2+3q+1
     158: 2q+1
     159: 2q+1
     160: 2q^2+3q+1
     161: 2q^2+3q+1
     163: q^2+2q+1
     165: q^2+2q+1
     167: q^2+2q+1
     169: q^2+2q+1
     170: 3q+1
     171: q^2+2q+1
     172: 3q+1
     173: q^2+2q+1
     174: 3q+1
     175: q^2+2q+1
     176: 3q+1
     177: q^2+2q+1
     178: 3q+1
     179: q^2+2q+1
     180: 3q+1
     181: q^2+2q+1
     182: 3q+1
     183: q^2+2q+1
     184: 3q+1
     185: q^2+2q+1
     187: q+1
     189: q+1
     191: 1
     193: q+1
     195: q^2+2q+1
     197: q+1
     199: q+1
     200: q
     201: q^2+3q+1
     203: q^2+2q+1
     205: q^2+2q+1
     207: q+1
     209: q+1
     211: q+1
     213: q+1
     214: 2q+1
     215: q^2+2q+1
     216: 2q+1
     217: 2q+1
     218: q+1
     219: 2q+1
     220: q+1
     221: 2q+1
     222: q^2+2q+1
     223: 2q+1
     224: 2q+1
     225: 2q+1
     226: 2q+1
     227: q^2+2q+1
     228: 2q+1
     229: 2q+1
     230: 2q+1
     231: 2q+1
     233: q+1
     235: q+1
     237: q+1
     239: q+1
     240: q^2+2q+1
     241: 2q+1
     242: 2q+1
     243: 2q^2+3q+1
     244: 2
     245: q+1
     246: 2
     247: q+1
     248: 3q+1
     249: q^2+2q+1
     250: 3q+1
     251: q^2+2q+1
     252: 3q+1
     253: q^2+2q+1
     254: 3q+1
     255: q^2+2q+1
     256: 3q+1
     257: q^2+2q+1
     258: 3q+1
     259: q^2+2q+1
     261: q+1
     263: q+1
     265: q+1
     267: 1
     269: 1
     271: q+1
     273: 1
     275: q+1
     277: 1
     279: q+1
     281: q+1
     283: q+1
     285: q+1
     287: q^2+2q+1
     289: q+1
     291: q+1
     293: q+1
     295: q+1
     296: 2q+1
     297: q+1
     298: q+1
     299: 1
     300: q+1
     302: 2
     304: q+1
     306: 2
     308: q+1
     309: 2q+1
     310: q^2+2q+1
     311: 2q+1
     312: 2q+1
     313: q+1
     314: 2q+1
     315: q+1
     316: 2
     317: 2q+1
     318: q^2+2q+1
     319: 2q+1
     320: 2q+1
     321: q+1
     322: 2q+1
     323: q+1
     324: 2
     326: q+1
     328: q+1
     330: q+1
     332: q+1
     333: 2q+1
     334: q^2+2q+1
     335: 2q+1
     336: 2q+1
     337: 2q+1
     338: 2
     339: q+1
     340: 2
     341: q+1
     342: 3q+1
     343: q^2+2q+1
     344: 3q+1
     345: q^2+2q+1
     347: q+1
     349: q+1
     351: q+1
     353: 1
     355: 1
     357: 1
     359: 1
     361: q+1
     363: 1
     365: 1
     367: q+1
     369: 2
     371: 1
     373: 1
     375: q+1
     377: 2
     379: q+1
     381: q+1
     383: q+1
     385: q+1
     387: 1
     388: 1
     389: 1
     390: q+1
     391: q+1
     392: 1
     393: q+1
     395: 2
     397: q+1
     399: 2
     401: q+1
     402: 1
     403: 2q+1
     404: q+1
     405: q+1
     406: 1
     407: 2
     408: 2q+1
     409: q+1
     410: q+1
     411: 1
     412: 2
     414: q+1
     416: q+1
     418: q+1
     420: q+1
     421: 2q+1
     422: q^2+2q+1
     423: 2q+1
     424: 2q+1
     425: q+1
     426: 2q+1
     427: q+1
     432: 2
     433: q+1
     434: 2
     435: q+1
     437: 1
     440: 1
     443: q+1
     445: 1
     447: 1
     449: 1
     451: 1
     453: q+1
     455: 1
     457: 1
     459: 1
     461: 1
     463: 2
     465: 1
     467: 1
     469: 1
     471: 1
     473: 2
     475: q+1
     477: q+1
     479: q+1
     481: 1
     483: 1
     485: q+1
     486: 1
     487: 1
     498: 1
     500: 2
     502: q+1
     504: 2
     506: q+1
     507: q+1
     508: 1
     510: q+1
     511: q+1
     512: 1
     513: 2
     514: 1
     516: q+1
     517: q+1
     518: 1
     519: 2
     520: 1
     521: 2q+1
     522: q+1
     523: q+1
     524: 1
     530: 1
     533: 1
     538: 1
     542: 1
     544: 1
     546: q+1
     552: 1
     554: 1
     556: 1
     558: 1
     560: 2
     564: 1
     566: 1
     568: 1
     570: 1
     572: 2
     574: q+1
     578: 1
     580: 1
     582: 1
     584: 1
     585: 1
     586: 1
     598: 1
     601: 1
     602: 1
     605: 1
     606: 1
     607: q+1
     608: q+1
     609: 1
     610: 1
     622: 1
     625: 1
     634: 1
     644: 1
     648: 1
     650: 1
     654: 1
     658: 1
     660: 1
     664: 1
     666: 1
     668: 1
     670: 1
     687: 1
     691: 1
     692: 1
     694: 1
     726: 1
     734: 1
     738: 1
     740: 1
     742: 1
     758: 1
     796: 1

797:   0: 3q^2+4q+1
       1: 3q+1
       2: 3q^2+4q+1
       3: q^3+3q^2+3q+1
       4: 3q^2+4q+1
       5: 3q+1
       6: q^2+2q+1
       7: 3q+1
       8: 3q^2+4q+1
       9: q^2+2q+1
      10: 3q+1
      11: q^2+2q+1
      12: q^3+3q^2+3q+1
      13: q^2+2q+1
      15: 3q+1
      16: q^2+2q+1
      17: 3q+1
      18: q^2+2q+1
      19: 3q+1
      20: q^2+2q+1
      21: 3q+1
      23: 3q^2+4q+1
      24: 3q^2+4q+1
      25: q^2+2q+1
      26: q^2+2q+1
      27: 2q^2+3q+1
      28: 2q+1
      29: 2q+1
      30: 2q^2+3q+1
      31: 3q^2+4q+1
      32: 3q+1
      33: 3q^2+4q+1
      34: 3q+1
      35: 3q^2+4q+1
      36: 3q+1
      37: 3q^2+4q+1
      38: 3q+1
      39: q^2+2q+1
      40: 2q+1
      41: 2q+1
      42: 3q+1
      43: 3q+1
      44: 3q^2+4q+1
      45: 3q+1
      46: 3q+1
      47: 3q^2+4q+1
      48: 2q^2+3q+1
      49: q^2+q
      50: 2q+1
      51: q
      52: 2q^2+3q+1
      53: q^2+q
      54: 2q+1
      55: q
      56: 3q+1
      57: q^2+2q+1
      58: 3q+1
      60: 3q+1
      61: 3q+1
      62: q^2+2q+1
      64: 2q^2+3q+1
      65: 2q+1
      66: 2q^2+3q+1
      67: 2q+1
      68: 2q^2+3q+1
      69: 2q+1
      70: 2q^2+3q+1
      71: 2q+1
      72: 2q^2+3q+1
      73: 2q+1
      74: 2q^2+3q+1
      75: 2q+1
      76: 2q+1
      77: q
      78: 2q+1
      79: q
      80: 2q^2+3q+1
      81: q^2+q
      83: 2q+1
      84: 2q+1
      85: 2q+1
      86: q^2+2q+1
      87: q^2+2q+1
      88: q^2+2q+1
      90: q+1
      92: q^2+2q+1
      94: q+1
      96: 3q+1
      97: 3q+1
      98: 2q+1
      99: 2q+1
     100: 3q+1
     101: 3q+1
     102: 2q+1
     103: 2q+1
     104: 3q+1
     105: 3q+1
     106: q^2+2q+1
     108: 2q+1
     109: 2q+1
     110: 2q+1
     112: 2q^2+3q+1
     113: 2q+1
     114: 2q^2+3q+1
     115: 2q+1
     116: 2q^2+3q+1
     117: 2q+1
     118: 2q^2+3q+1
     119: 2q+1
     120: 2q^2+3q+1
     121: 2q+1
     122: 2q^2+3q+1
     123: 2q+1
     124: q+1
     126: q+1
     128: q+1
     130: 2q+1
     131: q
     132: 2q+1
     133: q
     135: 2q+1
     136: q^2+2q+1
     138: q+1
     140: q^2+2q+1
     142: q+1
     145: 2q+1
     146: q+1
     147: q+1
     148: 3q+1
     149: 2q+1
     150: 2q+1
     151: q^2+2q+1
     152: 2q+1
     153: q^2+2q+1
     154: 3q+1
     155: 2q+1
     156: 2q+1
     157: 2q+1
     158: q^2+2q+1
     159: q^2+2q+1
     160: 2q+1
     161: 2q+1
     162: q^2+2q+1
     164: q+1
     166: q^2+2q+1
     168: q+1
     170: 2q+1
     171: 2q+1
     172: 2q+1
     174: 2q+1
     175: 2q+1
     176: 2q+1
     178: 2q+1
     179: 2q+1
     180: 2q+1
     182: 2q^2+3q+1
     183: 2q+1
     184: 2q^2+3q+1
     185: 2q+1
     186: q+1
     188: q+1
     190: q+1
     192: 1
     194: q+1
     196: q+1
     198: q+1
     200: 2q+1
     201: q
     202: q+1
     204: q+1
     206: q+1
     208: q+1
     210: q+1
     216: 2q+1
     217: q+1
     218: q+1
     219: q+1
     220: q+1
     221: 2q+1
     223: 2q+1
     224: q+1
     225: q+1
     226: 2q+1
     228: 2q+1
     229: q+1
     230: q+1
     231: 2q+1
     232: q^2+2q+1
     234: q+1
     236: q^2+2q+1
     238: q+1
     240: 2q+1
     241: q^2+2q+1
     242: q^2+2q+1
     243: 2q+1
     244: 2q+2
     245: q+1
     246: 2q+2
     247: q+1
     248: 2q+1
     249: 2q+1
     250: 2q+1
     252: 2q+1
     253: 2q+1
     254: 2q+1
     256: 2q+1
     257: 2q+1
     258: 2q+1
     262: q+1
     264: q+1
     266: 1
     268: 1
     270: 1
     272: q+1
     274: 1
     276: q+1
     278: 1
     280: q+1
     282: q+1
     284: q+1
     286: q+1
     288: q+1
     290: q+1
     292: q+1
     297: q+1
     298: q+1
     299: 1
     300: q+1
     301: 2q+2
     303: q+1
     305: 2q+2
     307: q+1
     311: 2q+1
     312: q+1
     313: q+1
     314: q+1
     315: q+1
     316: 2q+2
     319: 2q+1
     320: q+1
     321: q+1
     322: q+1
     323: q+1
     324: 2q+2
     325: q+1
     327: q+1
     329: q+1
     333: 2q+1
     335: 2q+1
     336: q+1
     337: q+1
     338: 2
     339: q+1
     340: 2
     342: 2q+1
     343: 2q+1
     344: 2q+1
     348: q+1
     352: 1
     354: 1
     356: 1
     358: 1
     360: q+1
     362: 1
     364: 1
     366: 1
     368: 2q+2
     370: 1
     372: 1
     374: 1
     376: 2q+2
     380: q+1
     382: q+1
     384: 1
     386: q+1
     388: q+1
     389: q+1
     392: 1
     394: 2
     396: q+1
     398: 2
     402: 1
     404: q+1
     405: q+1
     406: 1
     407: 2
     409: q+1
     410: q+1
     411: 1
     412: 2
     413: q+1
     415: q+1
     417: q+1
     423: 2q+1
     424: q+1
     425: q+1
     426: q+1
     427: q+1
     428: 2
     429: q+1
     430: 2
     432: 2
     433: q+1
     434: 2
     436: q+1
     439: q+1
     446: 1
     448: 1
     450: 1
     454: 1
     456: 1
     458: 1
     460: 1
     462: 2
     464: 1
     466: 1
     468: 1
     470: 1
     472: 2
     476: q+1
     480: 1
     482: 1
     484: 1
     486: 1
     487: 1
     489: 2
     491: q+1
     493: 2
     497: 1
     499: 2
     501: q+1
     503: 2
     508: 1
     509: 2
     512: 1
     513: 2
     514: 1
     515: 2
     518: 1
     519: 2
     520: 1
     522: q+1
     523: q+1
     524: 1
     525: 2
     526: q+1
     527: 2
     529: 1
     532: 1
     539: 1
     543: 1
     549: 2
     553: 1
     555: 1
     557: 1
     559: 2
     561: 2
     565: 1
     567: 1
     569: 1
     571: 2
     575: 1
     576: 1
     577: 1
     579: 1
     581: 1
     583: 1
     585: 1
     586: 1
     587: 2
     589: q+1
     591: 2
     597: 1
     599: 2
     600: 1
     602: 1
     603: 2
     604: 1
     606: 1
     609: 1
     610: 1
     615: 1
     618: 1
     621: 1
     624: 1
     631: 1
     641: 2
     645: 1
     649: 1
     651: 2
     655: 1
     659: 1
     661: 1
     662: 1
     665: 1
     667: 1
     669: 1
     686: 1
     690: 1
     693: 1
     694: 1
     701: 1
     704: 1
     723: 1
     731: 1
     741: 1
     743: 1
     757: 1
     797: 1

798:   0: 3q^2+4q+1
       1: 3q+1
       2: 3q^2+4q+1
       3: q^3+3q^2+3q+1
       4: 3q^2+4q+1
       5: 3q+1
       6: q^2+2q+1
       7: 3q+1
       8: 3q^2+4q+1
       9: q^2+2q+1
      10: 3q+1
      11: q^2+2q+1
      12: q^3+3q^2+3q+1
      13: q^2+2q+1
      15: 3q+1
      16: q^2+2q+1
      17: 3q+1
      18: q^2+2q+1
      19: 3q+1
      20: q^2+2q+1
      21: 3q+1
      23: 3q^2+4q+1
      24: 3q^2+4q+1
      25: q^2+2q+1
      26: q^2+2q+1
      27: 2q^2+3q+1
      28: 2q+1
      29: 2q+1
      30: 2q^2+3q+1
      31: 3q^2+4q+1
      32: 3q+1
      33: 3q^2+4q+1
      34: 3q+1
      35: 3q^2+4q+1
      36: 3q+1
      37: 3q^2+4q+1
      38: 3q+1
      39: q^2+2q+1
      40: 2q+1
      41: 2q+1
      42: 3q+1
      43: 3q+1
      44: 3q^2+4q+1
      45: 3q+1
      46: 3q+1
      47: 3q^2+4q+1
      48: q^2+q
      49: 2q^2+3q+1
      50: q
      51: 2q+1
      52: q^2+q
      53: 2q^2+3q+1
      54: q
      55: 2q+1
      56: 3q+1
      57: q^2+2q+1
      58: 3q+1
      60: 3q+1
      61: 3q+1
      62: q^2+2q+1
      64: 2q^2+3q+1
      65: 2q+1
      66: 2q^2+3q+1
      67: 2q+1
      68: 2q^2+3q+1
      69: 2q+1
      70: 2q^2+3q+1
      71: 2q+1
      72: 2q^2+3q+1
      73: 2q+1
      74: 2q^2+3q+1
      75: 2q+1
      76: q
      77: 2q+1
      78: q
      79: 2q+1
      80: q^2+q
      81: 2q^2+3q+1
      83: 2q+1
      84: 2q+1
      85: 2q+1
      86: q^2+2q+1
      87: q^2+2q+1
      89: q^2+2q+1
      91: q+1
      93: q^2+2q+1
      95: q+1
      96: 3q+1
      97: 3q+1
      98: 2q+1
      99: 2q+1
     100: 3q+1
     101: 3q+1
     102: 2q+1
     103: 2q+1
     104: 3q+1
     105: 3q+1
     106: q^2+2q+1
     108: 2q+1
     109: 2q+1
     110: 2q+1
     112: 2q^2+3q+1
     113: 2q+1
     114: 2q^2+3q+1
     115: 2q+1
     116: 2q^2+3q+1
     117: 2q+1
     118: 2q^2+3q+1
     119: 2q+1
     120: 2q^2+3q+1
     121: 2q+1
     122: 2q^2+3q+1
     123: 2q+1
     125: q+1
     127: q+1
     129: q+1
     130: q
     131: 2q+1
     132: q
     133: 2q+1
     135: 2q+1
     137: q^2+2q+1
     139: q+1
     141: q^2+2q+1
     143: q+1
     145: 2q+1
     146: q+1
     147: q+1
     148: 3q+1
     149: 2q+1
     150: 2q+1
     151: q^2+2q+1
     152: 2q+1
     153: q^2+2q+1
     154: 3q+1
     155: 2q+1
     156: 2q+1
     157: 2q+1
     158: q^2+2q+1
     159: q^2+2q+1
     160: 2q+1
     161: 2q+1
     163: q^2+2q+1
     165: q+1
     167: q^2+2q+1
     169: q+1
     170: 2q+1
     171: 2q+1
     172: 2q+1
     174: 2q+1
     175: 2q+1
     176: 2q+1
     178: 2q+1
     179: 2q+1
     180: 2q+1
     182: 2q^2+3q+1
     183: 2q+1
     184: 2q^2+3q+1
     185: 2q+1
     187: q+1
     189: q+1
     191: q+1
     193: 1
     195: q+1
     197: q+1
     199: q+1
     200: q
     201: 2q+1
     203: q+1
     205: q+1
     207: q+1
     209: q+1
     211: q+1
     216: 2q+1
     217: q+1
     218: q+1
     219: q+1
     220: q+1
     221: 2q+1
     223: 2q+1
     224: q+1
     225: q+1
     226: 2q+1
     228: 2q+1
     229: q+1
     230: q+1
     231: 2q+1
     233: q^2+2q+1
     235: q+1
     237: q^2+2q+1
     239: q+1
     240: 2q+1
     241: q^2+2q+1
     242: q^2+2q+1
     243: 2q+1
     244: 2q+2
     245: q+1
     246: 2q+2
     247: q+1
     248: 2q+1
     249: 2q+1
     250: 2q+1
     252: 2q+1
     253: 2q+1
     254: 2q+1
     256: 2q+1
     257: 2q+1
     258: 2q+1
     263: q+1
     265: q+1
     267: 1
     269: 1
     271: 1
     273: q+1
     275: 1
     277: q+1
     279: 1
     281: q+1
     283: q+1
     285: q+1
     287: q+1
     289: q+1
     291: q+1
     293: q+1
     297: q+1
     298: q+1
     299: 1
     300: q+1
     302: 2q+2
     304: q+1
     306: 2q+2
     308: q+1
     311: 2q+1
     312: q+1
     313: q+1
     314: q+1
     315: q+1
     316: 2q+2
     319: 2q+1
     320: q+1
     321: q+1
     322: q+1
     323: q+1
     324: 2q+2
     326: q+1
     328: q+1
     330: q+1
     333: 2q+1
     335: 2q+1
     336: q+1
     337: q+1
     338: 2
     339: q+1
     340: 2
     342: 2q+1
     343: 2q+1
     344: 2q+1
     349: q+1
     353: 1
     355: 1
     357: 1
     359: 1
     361: q+1
     363: 1
     365: 1
     367: 1
     369: 2q+2
     371: 1
     373: 1
     375: 1
     377: 2q+2
     381: q+1
     383: q+1
     385: 1
     387: q+1
     388: q+1
     389: q+1
     392: 1
     395: 2
     397: q+1
     399: 2
     402: 1
     404: q+1
     405: q+1
     406: 1
     407: 2
     409: q+1
     410: q+1
     411: 1
     412: 2
     414: q+1
     416: q+1
     418: q+1
     423: 2q+1
     424: q+1
     425: q+1
     426: q+1
     427: q+1
     428: 2
     429: q+1
     430: 2
     432: 2
     433: q+1
     434: 2
     437: q+1
     440: q+1
     447: 1
     449: 1
     451: 1
     455: 1
     457: 1
     459: 1
     461: 1
     463: 2
     465: 1
     467: 1
     469: 1
     471: 1
     473: 2
     477: q+1
     481: 1
     483: 1
     485: 1
     486: 1
     487: 1
     490: 2
     492: q+1
     494: 2
     497: 1
     500: 2
     502: q+1
     504: 2
     508: 1
     509: 2
     512: 1
     513: 2
     514: 1
     515: 2
     518: 1
     519: 2
     520: 1
     522: q+1
     523: q+1
     524: 1
     525: 2
     526: q+1
     527: 2
     530: 1
     533: 1
     540: 1
     544: 1
     550: 2
     554: 1
     556: 1
     558: 1
     560: 2
     562: 2
     566: 1
     568: 1
     570: 1
     572: 2
     575: 1
     576: 1
     578: 1
     580: 1
     582: 1
     584: 1
     585: 1
     586: 1
     588: 2
     590: q+1
     592: 2
     597: 1
     599: 2
     600: 1
     602: 1
     603: 2
     604: 1
     606: 1
     609: 1
     610: 1
     616: 1
     619: 1
     622: 1
     625: 1
     632: 1
     642: 2
     646: 1
     650: 1
     652: 2
     656: 1
     660: 1
     661: 1
     662: 1
     666: 1
     668: 1
     670: 1
     686: 1
     690: 1
     693: 1
     694: 1
     702: 1
     705: 1
     724: 1
     732: 1
     742: 1
     744: 1
     757: 1
     798: 1

799:   0: 2q^2+3q+1
       1: 2q^2+3q+1
       2: q^3+3q^2+3q+1
       3: 2q^2+3q+1
       4: 2q^2+3q+1
       5: q^3+2q^2+q+1
       6: 2q^2+3q+1
       7: 2q^2+3q+1
       8: q^3+3q^2+3q+1
       9: q^3+2q^2+q+1
      10: q^3+2q^2+q+1
      11: q^5+q^4+q^3+q^2+q+1
      12: q^3+3q^2+3q+1
      13: q^4+q^2+1
      14: q^4+q^2+1
      15: 2q^2+q+1
      16: 2q^2+q+1
      17: 2q^2+q+1
      18: q^4+q^2+1
      19: 2q^2+3q+1
      20: 2q^2+3q+1
      21: 2q^2+3q+1
      22: q^4+q^2+1
      23: 3q+1
      24: 3q+1
      25: q^2+q+1
      26: q^2+1
      27: 2q^2+3q+1
      28: 2q^2+3q+1
      29: q^3+2q^2+q+1
      30: q^3+3q^2+3q+1
      31: 2q^2+3q+1
      32: 2q^2+3q+1
      33: q^3+3q^2+3q+1
      34: q^3+2q^2+q+1
      35: 2q^2+3q+1
      36: 2q^2+3q+1
      37: q^3+3q^2+3q+1
      38: q^3+2q^2+q+1
      39: q^2+1
      40: 2q^2+q+1
      41: 2q^2+3q+1
      42: 2q^2+q+1
      43: 2q^2+3q+1
      44: 3q+1
      45: 2q^2+q+1
      46: 2q^2+3q+1
      47: 3q+1
      48: q^2+2q+1
      49: q^2+q
      50: q^2+2q+1
      51: q^2+q
      52: q^3+2q^2+2q+1
      53: q^2+q
      54: q^2+q+1
      55: q^3+q^2
      56: 2q^2+q+1
      57: 2q^2+q+1
      58: 2q^2+q+1
      59: q^4+q^2+1
      60: 3q+1
      61: 3q+1
      62: q^2+q+1
      63: q^2+1
      64: 3q+1
      65: q^2+q+1
      66: 3q+1
      67: q^2+1
      68: 2q^2+3q+1
      69: 2q^2+3q+1
      70: q^3+3q^2+3q+1
      71: q^3+2q^2+q+1
      72: 2q^2+3q+1
      73: 2q^2+3q+1
      74: q^3+3q^2+3q+1
      75: q^3+2q^2+q+1
      76: q^2+q+1
      77: q^2
      78: q^2+2q+1
      79: q^2+q
      80: 2q+1
      81: q
      82: q^2+1
      83: q+1
      84: 2q^2+q+1
      85: q^2+1
      86: 3q+1
      87: 3q+1
      88: q^2+2q+1
      89: q^2+q
      90: q^2+2q+1
      91: q^2+q
      92: q^3+2q^2+2q+1
      93: q^2+q
      94: q^2+q+1
      95: q^3+q^2
      96: 2q^2+q+1
      97: 3q+1
      98: 2q^2+q+1
      99: 2q^2+3q+1
     100: 2q^2+q+1
     101: 3q+1
     102: 2q^2+q+1
     103: 2q^2+3q+1
     104: q+1
     105: q+1
     106: 1
     107: 1
     108: 3q+1
     109: q^2+q+1
     110: 3q+1
     111: q^2+1
     112: 3q+1
     113: q^2+q+1
     114: 3q+1
     115: q^2+1
     116: 3q+1
     117: q^2+q+1
     118: 3q+1
     119: q^2+1
     120: 2q^2+3q+1
     121: 2q^2+3q+1
     122: q^3+3q^2+3q+1
     123: q^3+2q^2+q+1
     124: 2q+1
     125: q
     126: q^2+q+1
     127: q^2
     128: q^2+2q+1
     129: q^2+q
     130: q^2+q+1
     131: q^2
     132: 2q+1
     133: q
     134: 1
     135: 1
     136: q+1
     138: 1
     140: q+1
     142: 1
     144: q^2+1
     145: q+1
     146: 3q+1
     147: 3q+1
     148: q+1
     149: q+1
     150: q^2+1
     151: 3q+1
     152: 2q^2+q+1
     153: 3q+1
     154: q+1
     155: q+1
     156: q^2+1
     157: 2q^2+q+1
     158: 3q+1
     159: 3q+1
     160: 2q^2+q+1
     161: 2q^2+3q+1
     162: q^2+2q+1
     163: q^2+q
     164: q^2+2q+1
     165: q^2+q
     166: q^3+2q^2+2q+1
     167: q^2+q
     168: q^2+q+1
     169: q^3+q^2
     170: q+1
     171: 1
     172: q+1
     173: 1
     174: 3q+1
     175: q^2+q+1
     176: 3q+1
     177: q^2+1
     178: 3q+1
     179: q^2+q+1
     180: 3q+1
     181: q^2+1
     182: 3q+1
     183: q^2+q+1
     184: 3q+1
     185: q^2+1
     186: 1
     188: 1
     190: q+1
     192: 2q+1
     193: q
     194: q^2+q+1
     195: q^2
     196: 2q+1
     197: q
     198: 2q+1
     199: q
     200: q+1
     202: q^2+q+1
     203: q^2
     204: q^2+2q+1
     205: q^2+q
     206: q+1
     208: 1
     210: q+1
     212: 1
     214: 1
     215: 1
     216: 1
     217: q+1
     218: q+1
     219: q+1
     220: q+1
     221: 1
     222: q^2+1
     223: q+1
     224: 3q+1
     225: 3q+1
     226: 1
     227: q^2+1
     228: q+1
     229: 3q+1
     230: 3q+1
     231: q+1
     232: q+1
     234: 1
     236: q+1
     238: 1
     240: q^2+1
     241: 3q+1
     242: 3q+1
     243: 2q^2+q+1
     244: 3q+1
     245: q^2+q+1
     246: 3q+1
     247: q^2+1
     248: q+1
     249: 1
     250: q+1
     251: 1
     252: q+1
     253: 1
     254: q+1
     255: 1
     256: 3q+1
     257: q^2+q+1
     258: 3q+1
     259: q^2+1
     260: 1
     262: 1
     264: 1
     266: q+1
     268: 1
     270: q+1
     272: q+1
     274: 2q+1
     275: q
     276: q+1
     278: 2q+1
     279: q
     280: 1
     282: 1
     284: 2q+1
     285: q
     286: q^2+q+1
     287: q^2
     296: 1
     297: 1
     298: 1
     299: q+1
     300: q^2+1
     301: q+1
     303: 1
     305: q+1
     307: 1
     309: 1
     310: 1
     311: 1
     312: q+1
     313: q+1
     314: q+1
     315: q+1
     316: 3q+1
     317: 1
     318: 1
     319: 1
     320: q+1
     321: q+1
     322: q+1
     323: q+1
     324: 3q+1
     325: q+1
     327: 1
     329: q+1
     331: 1
     333: 1
     334: q^2+1
     335: q+1
     336: 3q+1
     337: 3q+1
     338: 3q+1
     339: q^2+q+1
     340: 3q+1
     341: q^2+1
     342: q+1
     343: 1
     344: q+1
     345: 1
     350: 1
     354: 1
     356: 1
     358: 1
     360: 1
     362: 1
     364: q+1
     366: q+1
     368: q+1
     370: 1
     372: q+1
     374: q+1
     376: q+1
     378: 1
     380: 1
     382: 1
     384: 2q+1
     385: q
     386: q+1
     388: 2q+1
     389: q
     390: 1
     391: 1
     392: 1
     393: q^2+1
     394: q+1
     396: 1
     398: q+1
     400: 1
     402: q+1
     403: 1
     404: 1
     405: 1
     406: q+1
     407: 3q+1
     408: 1
     409: 1
     410: 1
     411: q+1
     412: 3q+1
     421: 1
     422: 1
     423: 1
     424: q+1
     425: q+1
     426: q+1
     427: q+1
     432: q+1
     433: 1
     434: q+1
     435: 1
     436: q+1
     444: 1
     448: 1
     450: 1
     452: 1
     454: 1
     456: 1
     460: 1
     462: q+1
     464: 1
     466: 1
     470: 1
     472: q+1
     478: 1
     480: 1
     482: q+1
     484: q+1
     486: 2q+1
     487: q
     498: 1
     507: 1
     508: 1
     510: 1
     511: 1
     512: 1
     513: q+1
     514: q+1
     516: 1
     517: 1
     518: 1
     519: q+1
     520: q+1
     521: 1
     522: 1
     523: 1
     524: q+1
     529: q+1
     541: 1
     547: 1
     551: 1
     555: 1
     557: 1
     563: 1
     567: 1
     569: 1
     577: 1
     579: 1
     583: 1
     585: q+1
     598: 1
     601: 1
     602: 1
     605: 1
     606: 1
     607: 1
     608: 1
     609: 1
     610: q+1
     635: 1
     637: 1
     647: 1
     657: 1
     663: 1
     667: 1
     669: 1
     671: 1
     687: 1
     691: 1
     692: 1
     694: 1
     713: 1
     739: 1
     745: 1
     747: 1
     758: 1
     799: 1

800:   0: 2q^2+3q+1
       1: 2q^2+3q+1
       2: q^3+3q^2+3q+1
       3: 2q^2+3q+1
       4: 2q^2+3q+1
       5: q^3+2q^2+q+1
       6: 2q^2+3q+1
       7: 2q^2+3q+1
       8: q^3+3q^2+3q+1
       9: q^3+2q^2+q+1
      10: q^3+2q^2+q+1
      11: q^5+q^4+q^3+q^2+q+1
      12: q^3+3q^2+3q+1
      13: q^4+q^2+1
      14: q^4+q^2+1
      15: 2q^2+q+1
      16: 2q^2+q+1
      17: 2q^2+q+1
      18: q^4+q^2+1
      19: 2q^2+3q+1
      20: 2q^2+3q+1
      21: 2q^2+3q+1
      22: q^4+q^2+1
      23: 3q+1
      24: 3q+1
      25: q^2+q+1
      26: q^2+1
      27: 2q^2+3q+1
      28: 2q^2+3q+1
      29: q^3+2q^2+q+1
      30: q^3+3q^2+3q+1
      31: 2q^2+3q+1
      32: 2q^2+3q+1
      33: q^3+3q^2+3q+1
      34: q^3+2q^2+q+1
      35: 2q^2+3q+1
      36: 2q^2+3q+1
      37: q^3+3q^2+3q+1
      38: q^3+2q^2+q+1
      39: q^2+1
      40: 2q^2+q+1
      41: 2q^2+3q+1
      42: 2q^2+q+1
      43: 2q^2+3q+1
      44: 3q+1
      45: 2q^2+q+1
      46: 2q^2+3q+1
      47: 3q+1
      48: q^2+q
      49: q^2+2q+1
      50: q^2+q
      51: q^2+2q+1
      52: q^2+q
      53: q^3+2q^2+2q+1
      54: q^3+q^2
      55: q^2+q+1
      56: 2q^2+q+1
      57: 2q^2+q+1
      58: 2q^2+q+1
      59: q^4+q^2+1
      60: 3q+1
      61: 3q+1
      62: q^2+q+1
      63: q^2+1
      64: 3q+1
      65: q^2+q+1
      66: 3q+1
      67: q^2+1
      68: 2q^2+3q+1
      69: 2q^2+3q+1
      70: q^3+3q^2+3q+1
      71: q^3+2q^2+q+1
      72: 2q^2+3q+1
      73: 2q^2+3q+1
      74: q^3+3q^2+3q+1
      75: q^3+2q^2+q+1
      76: q^2
      77: q^2+q+1
      78: q^2+q
      79: q^2+2q+1
      80: q
      81: 2q+1
      82: q^2+1
      83: q+1
      84: 2q^2+q+1
      85: q^2+1
      86: 3q+1
      87: 3q+1
      88: q^2+q
      89: q^2+2q+1
      90: q^2+q
      91: q^2+2q+1
      92: q^2+q
      93: q^3+2q^2+2q+1
      94: q^3+q^2
      95: q^2+q+1
      96: 2q^2+q+1
      97: 3q+1
      98: 2q^2+q+1
      99: 2q^2+3q+1
     100: 2q^2+q+1
     101: 3q+1
     102: 2q^2+q+1
     103: 2q^2+3q+1
     104: q+1
     105: q+1
     106: 1
     107: 1
     108: 3q+1
     109: q^2+q+1
     110: 3q+1
     111: q^2+1
     112: 3q+1
     113: q^2+q+1
     114: 3q+1
     115: q^2+1
     116: 3q+1
     117: q^2+q+1
     118: 3q+1
     119: q^2+1
     120: 2q^2+3q+1
     121: 2q^2+3q+1
     122: q^3+3q^2+3q+1
     123: q^3+2q^2+q+1
     124: q
     125: 2q+1
     126: q^2
     127: q^2+q+1
     128: q^2+q
     129: q^2+2q+1
     130: q^2
     131: q^2+q+1
     132: q
     133: 2q+1
     134: 1
     135: 1
     137: q+1
     139: 1
     141: q+1
     143: 1
     144: q^2+1
     145: q+1
     146: 3q+1
     147: 3q+1
     148: q+1
     149: q+1
     150: q^2+1
     151: 3q+1
     152: 2q^2+q+1
     153: 3q+1
     154: q+1
     155: q+1
     156: q^2+1
     157: 2q^2+q+1
     158: 3q+1
     159: 3q+1
     160: 2q^2+q+1
     161: 2q^2+3q+1
     162: q^2+q
     163: q^2+2q+1
     164: q^2+q
     165: q^2+2q+1
     166: q^2+q
     167: q^3+2q^2+2q+1
     168: q^3+q^2
     169: q^2+q+1
     170: q+1
     171: 1
     172: q+1
     173: 1
     174: 3q+1
     175: q^2+q+1
     176: 3q+1
     177: q^2+1
     178: 3q+1
     179: q^2+q+1
     180: 3q+1
     181: q^2+1
     182: 3q+1
     183: q^2+q+1
     184: 3q+1
     185: q^2+1
     187: 1
     189: 1
     191: q+1
     192: q
     193: 2q+1
     194: q^2
     195: q^2+q+1
     196: q
     197: 2q+1
     198: q
     199: 2q+1
     201: q+1
     202: q^2
     203: q^2+q+1
     204: q^2+q
     205: q^2+2q+1
     207: q+1
     209: 1
     211: q+1
     213: 1
     214: 1
     215: 1
     216: 1
     217: q+1
     218: q+1
     219: q+1
     220: q+1
     221: 1
     222: q^2+1
     223: q+1
     224: 3q+1
     225: 3q+1
     226: 1
     227: q^2+1
     228: q+1
     229: 3q+1
     230: 3q+1
     231: q+1
     233: q+1
     235: 1
     237: q+1
     239: 1
     240: q^2+1
     241: 3q+1
     242: 3q+1
     243: 2q^2+q+1
     244: 3q+1
     245: q^2+q+1
     246: 3q+1
     247: q^2+1
     248: q+1
     249: 1
     250: q+1
     251: 1
     252: q+1
     253: 1
     254: q+1
     255: 1
     256: 3q+1
     257: q^2+q+1
     258: 3q+1
     259: q^2+1
     261: 1
     263: 1
     265: 1
     267: q+1
     269: 1
     271: q+1
     273: q+1
     274: q
     275: 2q+1
     277: q+1
     278: q
     279: 2q+1
     281: 1
     283: 1
     284: q
     285: 2q+1
     286: q^2
     287: q^2+q+1
     296: 1
     297: 1
     298: 1
     299: q+1
     300: q^2+1
     302: q+1
     304: 1
     306: q+1
     308: 1
     309: 1
     310: 1
     311: 1
     312: q+1
     313: q+1
     314: q+1
     315: q+1
     316: 3q+1
     317: 1
     318: 1
     319: 1
     320: q+1
     321: q+1
     322: q+1
     323: q+1
     324: 3q+1
     326: q+1
     328: 1
     330: q+1
     332: 1
     333: 1
     334: q^2+1
     335: q+1
     336: 3q+1
     337: 3q+1
     338: 3q+1
     339: q^2+q+1
     340: 3q+1
     341: q^2+1
     342: q+1
     343: 1
     344: q+1
     345: 1
     351: 1
     355: 1
     357: 1
     359: 1
     361: 1
     363: 1
     365: q+1
     367: q+1
     369: q+1
     371: 1
     373: q+1
     375: q+1
     377: q+1
     379: 1
     381: 1
     383: 1
     384: q
     385: 2q+1
     387: q+1
     388: q
     389: 2q+1
     390: 1
     391: 1
     392: 1
     393: q^2+1
     395: q+1
     397: 1
     399: q+1
     401: 1
     402: q+1
     403: 1
     404: 1
     405: 1
     406: q+1
     407: 3q+1
     408: 1
     409: 1
     410: 1
     411: q+1
     412: 3q+1
     421: 1
     422: 1
     423: 1
     424: q+1
     425: q+1
     426: q+1
     427: q+1
     432: q+1
     433: 1
     434: q+1
     435: 1
     440: q+1
     445: 1
     449: 1
     451: 1
     453: 1
     455: 1
     457: 1
     461: 1
     463: q+1
     465: 1
     467: 1
     471: 1
     473: q+1
     479: 1
     481: 1
     483: q+1
     485: q+1
     486: q
     487: 2q+1
     498: 1
     507: 1
     508: 1
     510: 1
     511: 1
     512: 1
     513: q+1
     514: q+1
     516: 1
     517: 1
     518: 1
     519: q+1
     520: q+1
     521: 1
     522: 1
     523: 1
     524: q+1
     533: q+1
     542: 1
     548: 1
     552: 1
     556: 1
     558: 1
     564: 1
     568: 1
     570: 1
     578: 1
     580: 1
     584: 1
     586: q+1
     598: 1
     601: 1
     602: 1
     605: 1
     606: 1
     607: 1
     608: 1
     609: 1
     610: q+1
     636: 1
     638: 1
     648: 1
     658: 1
     664: 1
     668: 1
     670: 1
     672: 1
     687: 1
     691: 1
     692: 1
     694: 1
     714: 1
     740: 1
     746: 1
     748: 1
     758: 1
     800: 1

801:   0: q+1
       1: 1
       2: q^3+q+1
       3: q+1
       4: q+1
       5: 1
       6: 1
       7: 1
       8: q^3+q+1
       9: 1
      10: 1
      11: q^5+1
      12: q^3+q+1
      13: q^5+1
      15: 1
      16: 1
      17: 1
      18: q^5+1
      19: 1
      20: 1
      21: 1
      23: q+1
      24: q+1
      25: 1
      26: 1
      27: q+1
      28: 1
      29: 1
      30: q^3+q+1
      31: q+1
      32: 1
      33: q^3+q+1
      34: 1
      35: q+1
      36: 1
      37: q^3+q+1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: q+1
      45: 1
      46: 1
      47: q+1
      48: q+1
      50: 1
      52: q^3+q+1
      54: 1
      56: 1
      57: 1
      58: 1
      60: 1
      61: 1
      62: 1
      64: q+1
      65: 1
      66: q+1
      67: 1
      68: q+1
      69: 1
      70: q^3+q+1
      71: 1
      72: q+1
      73: 1
      74: q^3+q+1
      75: 1
      76: 1
      78: 1
      80: q+1
      83: 1
      84: 1
      85: 1
      86: q+1
      87: q+1
      88: q+1
      90: 1
      92: q^3+q+1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: 1
     112: q+1
     113: 1
     114: q+1
     115: 1
     116: q+1
     117: 1
     118: q+1
     119: 1
     120: q+1
     121: 1
     122: q^3+q+1
     123: 1
     124: q+1
     126: 1
     128: 1
     130: 1
     132: 1
     135: 1
     136: q+1
     138: 1
     140: q+1
     142: 1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     151: q+1
     152: 1
     153: q+1
     154: 1
     155: 1
     156: 1
     157: 1
     158: q+1
     159: q+1
     160: 1
     161: 1
     162: q+1
     164: 1
     166: q^3+q+1
     168: 1
     170: 1
     171: 1
     172: 1
     174: 1
     175: 1
     176: 1
     178: 1
     179: 1
     180: 1
     182: q+1
     183: 1
     184: q+1
     185: 1
     186: 1
     188: 1
     190: q+1
     192: 1
     194: 1
     196: q+1
     198: q+1
     200: 1
     202: 1
     204: 1
     206: 1
     208: 1
     210: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     223: 1
     224: 1
     225: 1
     226: 1
     228: 1
     229: 1
     230: 1
     231: 1
     232: q+1
     234: 1
     236: q+1
     238: 1
     240: 1
     241: q+1
     242: q+1
     243: 1
     244: q+1
     245: 1
     246: q+1
     247: 1
     248: 1
     249: 1
     250: 1
     252: 1
     253: 1
     254: 1
     256: 1
     257: 1
     258: 1
     262: 1
     264: 1
     266: 1
     268: 1
     270: 1
     272: q+1
     274: 1
     276: q+1
     278: 1
     280: 1
     282: 1
     284: q+1
     286: 1
     288: 1
     290: 1
     292: 1
     297: 1
     298: 1
     299: 1
     300: 1
     301: q+1
     303: 1
     305: q+1
     307: 1
     311: 1
     312: 1
     313: 1
     314: 1
     315: 1
     316: q+1
     319: 1
     320: 1
     321: 1
     322: 1
     323: 1
     324: q+1
     325: 1
     327: 1
     329: 1
     333: 1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: 1
     342: 1
     343: 1
     344: 1
     348: 1
     352: 1
     354: 1
     356: 1
     358: 1
     360: 1
     362: 1
     364: 1
     366: 1
     368: q+1
     370: 1
     372: 1
     374: 1
     376: q+1
     380: 1
     382: 1
     384: 1
     386: q+1
     388: q+1
     392: 1
     394: 1
     396: 1
     398: 1
     402: 1
     404: 1
     405: 1
     406: 1
     407: 1
     409: 1
     410: 1
     411: 1
     412: 1
     413: 1
     415: 1
     417: 1
     423: 1
     424: 1
     425: 1
     426: 1
     427: 1
     432: 1
     433: 1
     434: 1
     436: q+1
     446: 1
     448: 1
     450: 1
     454: 1
     456: 1
     458: 1
     460: 1
     462: 1
     464: 1
     466: 1
     468: 1
     470: 1
     472: 1
     476: 1
     480: 1
     482: 1
     484: 1
     486: 1
     499: 1
     501: 1
     503: 1
     508: 1
     512: 1
     513: 1
     514: 1
     518: 1
     519: 1
     520: 1
     522: 1
     523: 1
     524: 1
     529: 1
     543: 1
     547: 1
     553: 1
     555: 1
     557: 1
     559: 1
     565: 1
     567: 1
     569: 1
     571: 1
     577: 1
     579: 1
     581: 1
     583: 1
     585: 1
     602: 1
     606: 1
     609: 1
     610: 1
     621: 1
     635: 1
     637: 1
     649: 1
     659: 1
     665: 1
     667: 1
     669: 1
     671: 1
     694: 1
     715: 1
     741: 1
     745: 1
     747: 1
     801: 1

802:   0: q+1
       1: 1
       2: q^3+q+1
       3: q+1
       4: q+1
       5: 1
       6: 1
       7: 1
       8: q^3+q+1
       9: 1
      10: 1
      11: q^5+1
      12: q^3+q+1
      13: q^5+1
      15: 1
      16: 1
      17: 1
      18: q^5+1
      19: 1
      20: 1
      21: 1
      23: q+1
      24: q+1
      25: 1
      26: 1
      27: q+1
      28: 1
      29: 1
      30: q^3+q+1
      31: q+1
      32: 1
      33: q^3+q+1
      34: 1
      35: q+1
      36: 1
      37: q^3+q+1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: q+1
      45: 1
      46: 1
      47: q+1
      49: q+1
      51: 1
      53: q^3+q+1
      55: 1
      56: 1
      57: 1
      58: 1
      60: 1
      61: 1
      62: 1
      64: q+1
      65: 1
      66: q+1
      67: 1
      68: q+1
      69: 1
      70: q^3+q+1
      71: 1
      72: q+1
      73: 1
      74: q^3+q+1
      75: 1
      77: 1
      79: 1
      81: q+1
      83: 1
      84: 1
      85: 1
      86: q+1
      87: q+1
      89: q+1
      91: 1
      93: q^3+q+1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: 1
     112: q+1
     113: 1
     114: q+1
     115: 1
     116: q+1
     117: 1
     118: q+1
     119: 1
     120: q+1
     121: 1
     122: q^3+q+1
     123: 1
     125: q+1
     127: 1
     129: 1
     131: 1
     133: 1
     135: 1
     137: q+1
     139: 1
     141: q+1
     143: 1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     151: q+1
     152: 1
     153: q+1
     154: 1
     155: 1
     156: 1
     157: 1
     158: q+1
     159: q+1
     160: 1
     161: 1
     163: q+1
     165: 1
     167: q^3+q+1
     169: 1
     170: 1
     171: 1
     172: 1
     174: 1
     175: 1
     176: 1
     178: 1
     179: 1
     180: 1
     182: q+1
     183: 1
     184: q+1
     185: 1
     187: 1
     189: 1
     191: q+1
     193: 1
     195: 1
     197: q+1
     199: q+1
     201: 1
     203: 1
     205: 1
     207: 1
     209: 1
     211: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     223: 1
     224: 1
     225: 1
     226: 1
     228: 1
     229: 1
     230: 1
     231: 1
     233: q+1
     235: 1
     237: q+1
     239: 1
     240: 1
     241: q+1
     242: q+1
     243: 1
     244: q+1
     245: 1
     246: q+1
     247: 1
     248: 1
     249: 1
     250: 1
     252: 1
     253: 1
     254: 1
     256: 1
     257: 1
     258: 1
     263: 1
     265: 1
     267: 1
     269: 1
     271: 1
     273: q+1
     275: 1
     277: q+1
     279: 1
     281: 1
     283: 1
     285: q+1
     287: 1
     289: 1
     291: 1
     293: 1
     297: 1
     298: 1
     299: 1
     300: 1
     302: q+1
     304: 1
     306: q+1
     308: 1
     311: 1
     312: 1
     313: 1
     314: 1
     315: 1
     316: q+1
     319: 1
     320: 1
     321: 1
     322: 1
     323: 1
     324: q+1
     326: 1
     328: 1
     330: 1
     333: 1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: 1
     342: 1
     343: 1
     344: 1
     349: 1
     353: 1
     355: 1
     357: 1
     359: 1
     361: 1
     363: 1
     365: 1
     367: 1
     369: q+1
     371: 1
     373: 1
     375: 1
     377: q+1
     381: 1
     383: 1
     385: 1
     387: q+1
     389: q+1
     392: 1
     395: 1
     397: 1
     399: 1
     402: 1
     404: 1
     405: 1
     406: 1
     407: 1
     409: 1
     410: 1
     411: 1
     412: 1
     414: 1
     416: 1
     418: 1
     423: 1
     424: 1
     425: 1
     426: 1
     427: 1
     432: 1
     433: 1
     434: 1
     440: q+1
     447: 1
     449: 1
     451: 1
     455: 1
     457: 1
     459: 1
     461: 1
     463: 1
     465: 1
     467: 1
     469: 1
     471: 1
     473: 1
     477: 1
     481: 1
     483: 1
     485: 1
     487: 1
     500: 1
     502: 1
     504: 1
     508: 1
     512: 1
     513: 1
     514: 1
     518: 1
     519: 1
     520: 1
     522: 1
     523: 1
     524: 1
     533: 1
     544: 1
     548: 1
     554: 1
     556: 1
     558: 1
     560: 1
     566: 1
     568: 1
     570: 1
     572: 1
     578: 1
     580: 1
     582: 1
     584: 1
     586: 1
     602: 1
     606: 1
     609: 1
     610: 1
     625: 1
     636: 1
     638: 1
     650: 1
     660: 1
     666: 1
     668: 1
     670: 1
     672: 1
     694: 1
     716: 1
     742: 1
     746: 1
     748: 1
     802: 1

803:   0: 2q+1
       1: q^2+1
       2: 2q+1
       3: 2q+1
       4: 2q+1
       5: q^2+1
       6: q^2+1
       7: q^2+1
       8: 2q+1
       9: q^2+1
      10: q^2+1
      11: q^2+1
      12: 2q+1
      13: q^2+1
      15: q^2+1
      16: q^2+1
      17: q^2+1
      18: q^2+1
      19: 1
      20: 1
      21: 1
      23: 2q+1
      24: 2q+1
      25: q^2+1
      26: q^2+1
      27: 2q+1
      28: q^2+1
      29: q^2+1
      30: 2q+1
      31: 2q+1
      32: q^2+1
      33: 2q+1
      34: q^2+1
      35: 2q+1
      36: q^2+1
      37: 2q+1
      38: q^2+1
      39: q^2+1
      40: q^2+1
      41: 1
      42: q^2+1
      43: 1
      44: 2q+1
      45: q^2+1
      46: 1
      47: 2q+1
      48: q+1
      49: q
      50: 1
      51: q^2
      52: q+1
      53: q
      54: 1
      55: q^2
      56: 1
      57: 1
      58: 1
      60: 1
      61: 1
      62: 1
      64: 2q+1
      65: q^2+1
      66: 2q+1
      67: q^2+1
      68: 2q+1
      69: q^2+1
      70: 2q+1
      71: q^2+1
      72: 2q+1
      73: q^2+1
      74: 2q+1
      75: q^2+1
      76: 1
      77: q^2
      78: 1
      80: q+1
      81: q
      83: 1
      84: 1
      85: q^2+1
      86: 2q+1
      87: 2q+1
      88: q+1
      89: q
      90: 1
      91: q^2
      92: q+1
      93: q
      94: 1
      95: q^2
      96: 1
      97: 1
      98: q^2+1
      99: 1
     100: 1
     101: 1
     102: q^2+1
     103: 1
     104: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: 1
     112: 2q+1
     113: q^2+1
     114: 2q+1
     115: q^2+1
     116: 2q+1
     117: q^2+1
     118: 2q+1
     119: q^2+1
     120: 2q+1
     121: q^2+1
     122: 2q+1
     123: q^2+1
     124: q+1
     125: q
     126: 1
     127: q^2
     128: 1
     130: 1
     132: 1
     135: 1
     136: q+1
     137: q
     138: 1
     139: q^2
     140: q+1
     141: q
     142: 1
     143: q^2
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: q^2+1
     151: 2q+1
     152: 1
     153: 2q+1
     154: 1
     155: 1
     156: q^2+1
     157: 1
     158: 2q+1
     159: 2q+1
     160: q^2+1
     161: 1
     162: q+1
     163: q
     164: 1
     165: q^2
     166: q+1
     167: q
     168: 1
     169: q^2
     170: 1
     171: 1
     172: 1
     174: 1
     175: 1
     176: 1
     178: 1
     179: 1
     180: 1
     182: 2q+1
     183: q^2+1
     184: 2q+1
     185: q^2+1
     186: 1
     188: 1
     189: q^2
     190: q+1
     191: q
     192: 1
     194: 1
     196: q+1
     197: q
     198: q+1
     199: q
     200: 1
     202: 1
     203: q^2
     204: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     223: 1
     224: 1
     225: 1
     226: 1
     228: 1
     229: 1
     230: 1
     231: 1
     232: q+1
     233: q
     234: 1
     235: q^2
     236: q+1
     237: q
     238: 1
     239: q^2
     240: q^2+1
     241: 2q+1
     242: 2q+1
     243: 1
     244: 2q+1
     245: q^2+1
     246: 2q+1
     247: q^2+1
     248: 1
     249: 1
     250: 1
     252: 1
     253: 1
     254: 1
     256: 1
     257: 1
     258: 1
     264: 1
     268: 1
     270: 1
     272: q+1
     273: q
     274: 1
     276: q+1
     277: q
     278: 1
     280: 1
     282: 1
     283: q^2
     284: q+1
     285: q
     286: 1
     297: 1
     298: 1
     299: 1
     300: q^2+1
     301: q+1
     302: q
     303: 1
     304: q^2
     305: q+1
     306: q
     307: 1
     308: q^2
     311: 1
     312: 1
     313: 1
     314: 1
     315: 1
     316: 2q+1
     319: 1
     320: 1
     321: 1
     322: 1
     323: 1
     324: 2q+1
     333: 1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: 1
     342: 1
     343: 1
     344: 1
     356: 1
     358: 1
     360: 1
     361: q^2
     362: 1
     366: 1
     368: q+1
     369: q
     370: 1
     374: 1
     376: q+1
     377: q
     382: 1
     384: 1
     386: q+1
     387: q
     388: q+1
     389: q
     392: 1
     402: 1
     404: 1
     405: 1
     406: 1
     407: 1
     409: 1
     410: 1
     411: 1
     412: 1
     423: 1
     424: 1
     425: 1
     426: 1
     427: 1
     428: 1
     429: 1
     430: 1
     432: 1
     433: 1
     434: 1
     436: q+1
     440: q
     450: 1
     456: 1
     460: 1
     466: 1
     470: 1
     480: 1
     484: 1
     486: 1
     497: 1
     508: 1
     509: 1
     512: 1
     513: 1
     514: 1
     515: 1
     518: 1
     519: 1
     520: 1
     522: 1
     523: 1
     524: 1
     525: 1
     526: 1
     527: 1
     547: 1
     557: 1
     569: 1
     575: 1
     579: 1
     583: 1
     585: 1
     597: 1
     599: 1
     600: 1
     602: 1
     603: 1
     604: 1
     606: 1
     609: 1
     610: 1
     635: 1
     639: 1
     661: 1
     669: 1
     671: 1
     686: 1
     690: 1
     693: 1
     694: 1
     717: 1
     745: 1
     749: 1
     757: 1
     803: 1

804:   0: 2q+1
       1: q^2+1
       2: 2q+1
       3: 2q+1
       4: 2q+1
       5: q^2+1
       6: q^2+1
       7: q^2+1
       8: 2q+1
       9: q^2+1
      10: q^2+1
      11: q^2+1
      12: 2q+1
      13: q^2+1
      15: q^2+1
      16: q^2+1
      17: q^2+1
      18: q^2+1
      19: 1
      20: 1
      21: 1
      23: 2q+1
      24: 2q+1
      25: q^2+1
      26: q^2+1
      27: 2q+1
      28: q^2+1
      29: q^2+1
      30: 2q+1
      31: 2q+1
      32: q^2+1
      33: 2q+1
      34: q^2+1
      35: 2q+1
      36: q^2+1
      37: 2q+1
      38: q^2+1
      39: q^2+1
      40: q^2+1
      41: 1
      42: q^2+1
      43: 1
      44: 2q+1
      45: q^2+1
      46: 1
      47: 2q+1
      48: q
      49: q+1
      50: q^2
      51: 1
      52: q
      53: q+1
      54: q^2
      55: 1
      56: 1
      57: 1
      58: 1
      60: 1
      61: 1
      62: 1
      64: 2q+1
      65: q^2+1
      66: 2q+1
      67: q^2+1
      68: 2q+1
      69: q^2+1
      70: 2q+1
      71: q^2+1
      72: 2q+1
      73: q^2+1
      74: 2q+1
      75: q^2+1
      76: q^2
      77: 1
      79: 1
      80: q
      81: q+1
      83: 1
      84: 1
      85: q^2+1
      86: 2q+1
      87: 2q+1
      88: q
      89: q+1
      90: q^2
      91: 1
      92: q
      93: q+1
      94: q^2
      95: 1
      96: 1
      97: 1
      98: q^2+1
      99: 1
     100: 1
     101: 1
     102: q^2+1
     103: 1
     104: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: 1
     112: 2q+1
     113: q^2+1
     114: 2q+1
     115: q^2+1
     116: 2q+1
     117: q^2+1
     118: 2q+1
     119: q^2+1
     120: 2q+1
     121: q^2+1
     122: 2q+1
     123: q^2+1
     124: q
     125: q+1
     126: q^2
     127: 1
     129: 1
     131: 1
     133: 1
     135: 1
     136: q
     137: q+1
     138: q^2
     139: 1
     140: q
     141: q+1
     142: q^2
     143: 1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: q^2+1
     151: 2q+1
     152: 1
     153: 2q+1
     154: 1
     155: 1
     156: q^2+1
     157: 1
     158: 2q+1
     159: 2q+1
     160: q^2+1
     161: 1
     162: q
     163: q+1
     164: q^2
     165: 1
     166: q
     167: q+1
     168: q^2
     169: 1
     170: 1
     171: 1
     172: 1
     174: 1
     175: 1
     176: 1
     178: 1
     179: 1
     180: 1
     182: 2q+1
     183: q^2+1
     184: 2q+1
     185: q^2+1
     187: 1
     188: q^2
     189: 1
     190: q
     191: q+1
     193: 1
     195: 1
     196: q
     197: q+1
     198: q
     199: q+1
     201: 1
     202: q^2
     203: 1
     205: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     223: 1
     224: 1
     225: 1
     226: 1
     228: 1
     229: 1
     230: 1
     231: 1
     232: q
     233: q+1
     234: q^2
     235: 1
     236: q
     237: q+1
     238: q^2
     239: 1
     240: q^2+1
     241: 2q+1
     242: 2q+1
     243: 1
     244: 2q+1
     245: q^2+1
     246: 2q+1
     247: q^2+1
     248: 1
     249: 1
     250: 1
     252: 1
     253: 1
     254: 1
     256: 1
     257: 1
     258: 1
     265: 1
     269: 1
     271: 1
     272: q
     273: q+1
     275: 1
     276: q
     277: q+1
     279: 1
     281: 1
     282: q^2
     283: 1
     284: q
     285: q+1
     287: 1
     297: 1
     298: 1
     299: 1
     300: q^2+1
     301: q
     302: q+1
     303: q^2
     304: 1
     305: q
     306: q+1
     307: q^2
     308: 1
     311: 1
     312: 1
     313: 1
     314: 1
     315: 1
     316: 2q+1
     319: 1
     320: 1
     321: 1
     322: 1
     323: 1
     324: 2q+1
     333: 1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: 1
     342: 1
     343: 1
     344: 1
     357: 1
     359: 1
     360: q^2
     361: 1
     363: 1
     367: 1
     368: q
     369: q+1
     371: 1
     375: 1
     376: q
     377: q+1
     383: 1
     385: 1
     386: q
     387: q+1
     388: q
     389: q+1
     392: 1
     402: 1
     404: 1
     405: 1
     406: 1
     407: 1
     409: 1
     410: 1
     411: 1
     412: 1
     423: 1
     424: 1
     425: 1
     426: 1
     427: 1
     428: 1
     429: 1
     430: 1
     432: 1
     433: 1
     434: 1
     436: q
     440: q+1
     451: 1
     457: 1
     461: 1
     467: 1
     471: 1
     481: 1
     485: 1
     487: 1
     497: 1
     508: 1
     509: 1
     512: 1
     513: 1
     514: 1
     515: 1
     518: 1
     519: 1
     520: 1
     522: 1
     523: 1
     524: 1
     525: 1
     526: 1
     527: 1
     548: 1
     558: 1
     570: 1
     576: 1
     580: 1
     584: 1
     586: 1
     597: 1
     599: 1
     600: 1
     602: 1
     603: 1
     604: 1
     606: 1
     609: 1
     610: 1
     636: 1
     640: 1
     662: 1
     670: 1
     672: 1
     686: 1
     690: 1
     693: 1
     694: 1
     718: 1
     746: 1
     750: 1
     757: 1
     804: 1

805:   0: 2q^2+4q+2
       1: 2q^3+4q^2+2q+2
       2: 2q^2+4q+2
       3: 2q^2+4q+2
       4: 2q^2+4q+2
       5: 2q^3+4q^2+2
       6: 2q^3+4q^2+2q+2
       7: 2q^3+4q^2+2q+2
       8: 2q^2+4q+2
       9: 2q^3+4q^2+2
      10: 2q^3+4q^2+2
      11: q^5+q^4+2q^3+3q^2+q+2
      12: 2q^2+4q+2
      13: q^5+q^4+q^3+3q^2+2
      14: q^5+q^4+q^3+2q^2+1
      15: 4q^2+2
      16: 4q^2+2
      17: 4q^2+2
      18: q^4+3q^2+2
      19: 2q^2+2q+2
      20: 2q^2+2q+2
      21: 2q^2+2q+2
      22: q^4+2q^2+1
      23: 4q+2
      24: 4q+2
      25: q^3+3q^2+q+2
      26: q^3+3q^2+2
      27: 2q^2+4q+2
      28: 2q^3+4q^2+2q+2
      29: 2q^3+4q^2+2
      30: 2q^2+4q+2
      31: 2q^2+4q+2
      32: 2q^3+4q^2+2q+2
      33: 2q^2+4q+2
      34: 2q^3+4q^2+2
      35: 2q^2+4q+2
      36: 2q^3+4q^2+2q+2
      37: 2q^2+4q+2
      38: 2q^3+4q^2+2
      39: 3q^2+2
      40: 4q^2+2
      41: 2q^2+2q+2
      42: 4q^2+2
      43: 2q^2+2q+2
      44: 4q+2
      45: 4q^2+2
      46: 2q^2+2q+2
      47: 4q+2
      48: q^2+2q+1
      49: q^2+2q+1
      50: q^3+2q^2+q+1
      51: q^3+2q^2+q+1
      52: q^2+2q+1
      53: q^2+2q+1
      54: q^3+2q^2+1
      55: q^3+2q^2+1
      56: 2q^2+2
      57: 2q^2+2
      58: 2q^2+2
      59: q^4+2q^2+1
      60: 2q+2
      61: 2q+2
      62: q^2+q+2
      63: 2q^2+1
      64: 4q+2
      65: q^3+3q^2+q+2
      66: 4q+2
      67: q^3+3q^2+2
      68: 2q^2+4q+2
      69: 2q^3+4q^2+2q+2
      70: 2q^2+4q+2
      71: 2q^3+4q^2+2
      72: 2q^2+4q+2
      73: 2q^3+4q^2+2q+2
      74: 2q^2+4q+2
      75: 2q^3+4q^2+2
      76: 2q^2+1
      77: 2q^2+1
      78: q^2+q+1
      79: q^2+q+1
      80: 2q+1
      81: 2q+1
      82: q^2+1
      83: q+2
      84: 2q^2+2
      85: 3q^2+2
      86: 4q+2
      87: 4q+2
      88: q^2+2q+1
      89: q^2+2q+1
      90: q^3+2q^2+q+1
      91: q^3+2q^2+q+1
      92: q^2+2q+1
      93: q^2+2q+1
      94: q^3+2q^2+1
      95: q^3+2q^2+1
      96: 2q^2+2
      97: 2q+2
      98: 4q^2+2
      99: 2q^2+2q+2
     100: 2q^2+2
     101: 2q+2
     102: 4q^2+2
     103: 2q^2+2q+2
     104: 2
     105: 2
     106: 2
     107: q^2+1
     108: 2q+2
     109: q^2+q+2
     110: 2q+2
     111: 2q^2+1
     112: 4q+2
     113: q^3+3q^2+q+2
     114: 4q+2
     115: q^3+3q^2+2
     116: 4q+2
     117: q^3+3q^2+q+2
     118: 4q+2
     119: q^3+3q^2+2
     120: 2q^2+4q+2
     121: 2q^3+4q^2+2q+2
     122: 2q^2+4q+2
     123: 2q^3+4q^2+2
     124: 2q+1
     125: 2q+1
     126: 2q^2+1
     127: 2q^2+1
     128: q^2+q+1
     129: q^2+q+1
     130: q^2+1
     131: q^2+1
     132: q+1
     133: q+1
     134: 1
     135: 2
     136: q+1
     137: q+1
     138: q^2+1
     139: q^2+1
     140: q+1
     141: q+1
     142: q^2+1
     143: q^2+1
     144: q^2+1
     145: q+2
     146: 2q+2
     147: 2q+2
     148: 2
     149: q+2
     150: 3q^2+2
     151: 4q+2
     152: 2q^2+2
     153: 4q+2
     154: 2
     155: q+2
     156: 3q^2+2
     157: 2q^2+2
     158: 4q+2
     159: 4q+2
     160: 4q^2+2
     161: 2q^2+2q+2
     162: q^2+2q+1
     163: q^2+2q+1
     164: q^3+2q^2+q+1
     165: q^3+2q^2+q+1
     166: q^2+2q+1
     167: q^2+2q+1
     168: q^3+2q^2+1
     169: q^3+2q^2+1
     170: 2
     171: 2
     172: 2
     173: q^2+1
     174: 2q+2
     175: q^2+q+2
     176: 2q+2
     177: 2q^2+1
     178: 2q+2
     179: q^2+q+2
     180: 2q+2
     181: 2q^2+1
     182: 4q+2
     183: q^3+3q^2+q+2
     184: 4q+2
     185: q^3+3q^2+2
     186: 1
     187: 1
     188: q^2+1
     189: q^2+1
     190: q+1
     191: q+1
     192: q+1
     193: q+1
     194: q^2+1
     195: q^2+1
     196: 2q+1
     197: 2q+1
     198: 2q+1
     199: 2q+1
     200: 1
     201: 1
     202: 2q^2+1
     203: 2q^2+1
     204: q^2+q+1
     205: q^2+q+1
     214: 1
     215: 1
     216: 2
     217: 2
     218: q+2
     219: 2
     220: q+2
     221: 2
     222: q^2+1
     223: q+2
     224: 2q+2
     225: 2q+2
     226: 2
     227: q^2+1
     228: q+2
     229: 2q+2
     230: 2q+2
     231: q+2
     232: q+1
     233: q+1
     234: q^2+1
     235: q^2+1
     236: q+1
     237: q+1
     238: q^2+1
     239: q^2+1
     240: 3q^2+2
     241: 4q+2
     242: 4q+2
     243: 2q^2+2
     244: 4q+2
     245: q^3+3q^2+q+2
     246: 4q+2
     247: q^3+3q^2+2
     248: 2
     249: 2
     250: 2
     251: q^2+1
     252: 2
     253: 2
     254: 2
     255: q^2+1
     256: 2q+2
     257: q^2+q+2
     258: 2q+2
     259: 2q^2+1
     264: 1
     265: 1
     268: 1
     269: 1
     270: 1
     271: 1
     272: q+1
     273: q+1
     274: q+1
     275: q+1
     276: q+1
     277: q+1
     278: q+1
     279: q+1
     280: 1
     281: 1
     282: q^2+1
     283: q^2+1
     284: 2q+1
     285: 2q+1
     286: q^2+1
     287: q^2+1
     296: 1
     297: 2
     298: 2
     299: q+2
     300: 3q^2+2
     301: q+1
     302: q+1
     303: q^2+1
     304: q^2+1
     305: q+1
     306: q+1
     307: q^2+1
     308: q^2+1
     309: 1
     310: 1
     311: 2
     312: 2
     313: q+2
     314: 2
     315: q+2
     316: 4q+2
     317: 1
     318: 1
     319: 2
     320: 2
     321: q+2
     322: 2
     323: q+2
     324: 4q+2
     333: 2
     334: q^2+1
     335: q+2
     336: 2q+2
     337: 2q+2
     338: 2q+2
     339: q^2+q+2
     340: 2q+2
     341: 2q^2+1
     342: 2
     343: 2
     344: 2
     345: q^2+1
     356: 1
     357: 1
     358: 1
     359: 1
     360: q^2+1
     361: q^2+1
     362: 1
     363: 1
     366: 1
     367: 1
     368: q+1
     369: q+1
     370: 1
     371: 1
     374: 1
     375: 1
     376: q+1
     377: q+1
     382: 1
     383: 1
     384: q+1
     385: q+1
     386: q+1
     387: q+1
     388: 2q+1
     389: 2q+1
     390: 1
     391: 1
     392: 2
     393: q^2+1
     402: q+2
     403: 1
     404: 2
     405: 2
     406: q+2
     407: 2q+2
     408: 1
     409: 2
     410: 2
     411: q+2
     412: 2q+2
     421: 1
     422: 1
     423: 2
     424: 2
     425: q+2
     426: 2
     427: q+2
     428: 2
     429: 2
     430: 2
     431: q^2+1
     432: 2
     433: 2
     434: 2
     435: q^2+1
     436: q+1
     440: q+1
     450: 1
     451: 1
     456: 1
     457: 1
     460: 1
     461: 1
     466: 1
     467: 1
     470: 1
     471: 1
     480: 1
     481: 1
     484: 1
     485: 1
     486: q+1
     487: q+1
     488: 1
     497: 2
     498: 1
     507: 1
     508: 2
     509: 2
     510: 1
     511: 1
     512: 2
     513: 2
     514: q+2
     515: 2
     516: 1
     517: 1
     518: 2
     519: 2
     520: q+2
     521: 1
     522: 2
     523: 2
     524: q+2
     547: 1
     548: 1
     557: 1
     558: 1
     569: 1
     570: 1
     575: 1
     576: 1
     579: 1
     580: 1
     583: 1
     584: 1
     585: 1
     586: 1
     596: 1
     598: 1
     600: 2
     601: 1
     602: 2
     604: 2
     605: 1
     606: 2
     607: 1
     608: 1
     609: 2
     610: q+2
     635: 1
     636: 1
     639: 1
     640: 1
     669: 1
     670: 1
     671: 1
     672: 1
     685: 1
     687: 1
     689: 1
     691: 1
     692: 1
     693: 2
     694: 2
     745: 1
     746: 1
     749: 1
     750: 1
     756: 1
     758: 1
     805: 1

806:   0: 2q+2
       1: 2q+2
       2: 2q+2
       3: 2q+2
       4: 2q+2
       5: q^3+q+2
       6: 2q+2
       7: 2q+2
       8: 2q+2
       9: q^3+q+2
      10: q^3+q+2
      11: 2q+2
      12: 2q+2
      13: q^3+q+2
      14: q^3+q+2
      15: q+2
      16: q+2
      17: q+2
      18: q+2
      19: 2q+2
      20: 2q+2
      21: 2q+2
      22: q^3+q+2
      23: 2q+2
      24: 2q+2
      25: 2q+2
      26: q^3+q+2
      27: 2q+2
      28: 2q+2
      29: q^3+q+2
      30: 2q+2
      31: 2q+2
      32: 2q+2
      33: 2q+2
      34: q^3+q+2
      35: 2
      36: 2
      37: 2
      38: 2
      39: q+2
      40: q+2
      41: 2q+2
      42: q+2
      43: 2q+2
      44: 2q+2
      45: 2
      46: 2
      47: 2
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: q+2
      57: q+2
      58: q+2
      59: q+2
      60: 2q+2
      61: 2q+2
      62: 2q+2
      63: q^3+q+2
      64: 2q+2
      65: 2q+2
      66: 2q+2
      67: q^3+q+2
      68: 2q+2
      69: 2q+2
      70: 2q+2
      71: q^3+q+2
      72: 2
      73: 2
      74: 2
      75: 2
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: 1
      82: q+2
      83: 2q+2
      84: q+2
      85: q+2
      86: 2
      87: 2q+2
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: q+2
      97: 2q+2
      98: q+2
      99: 2q+2
     100: 2
     101: 2
     102: 2
     103: 2
     104: q+2
     105: q+2
     106: q+2
     107: q+2
     108: 2q+2
     109: 2q+2
     110: 2q+2
     111: q^3+q+2
     112: 2q+2
     113: 2q+2
     114: 2q+2
     115: q^3+q+2
     116: 2
     117: 2
     118: 2
     119: 2
     120: 2
     121: 2
     122: 2
     123: 2
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 1
     134: q+2
     135: q+2
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: 1
     144: q+2
     145: 2q+2
     146: 2
     147: 2q+2
     148: q+2
     149: 2q+2
     150: q+2
     151: 2
     152: q+2
     153: 2q+2
     154: 2
     155: 2
     156: 2
     157: 2
     158: 2
     160: 2
     161: 2
     162: 1
     163: 1
     164: 1
     165: 1
     166: 1
     167: 1
     168: 1
     169: 1
     170: q+2
     171: q+2
     172: q+2
     173: q+2
     174: 2q+2
     175: 2q+2
     176: 2q+2
     177: q^3+q+2
     178: 2
     179: 2
     180: 2
     181: 2
     182: 2
     183: 2
     184: 2
     185: 2
     186: 1
     187: 1
     188: 1
     189: 1
     190: 1
     191: 1
     192: 1
     193: 1
     194: 1
     195: 1
     196: 1
     197: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     206: 1
     207: 1
     208: 1
     209: 1
     210: 1
     211: 1
     212: 1
     213: 1
     214: q+2
     215: q+2
     216: q+2
     217: 2
     218: 2
     219: q+2
     220: 2q+2
     221: q+2
     222: q+2
     223: 2q+2
     224: 2
     225: 2q+2
     226: 2
     227: 2
     228: 2
     229: 2
     231: 2
     232: 1
     233: 1
     234: 1
     235: 1
     236: 1
     237: 1
     238: 1
     239: 1
     240: 2
     241: 2
     243: 2
     244: 2
     245: 2
     246: 2
     247: 2
     248: q+2
     249: q+2
     250: q+2
     251: q+2
     252: 1
     253: 1
     254: 1
     255: 1
     256: 2
     257: 2
     258: 2
     259: 2
     260: 1
     261: 1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     267: 1
     268: 1
     269: 1
     270: 1
     271: 1
     272: 1
     273: 1
     274: 1
     275: 1
     280: 1
     281: 1
     282: 1
     283: 1
     286: 1
     287: 1
     296: q+2
     297: 2
     298: q+2
     299: 2
     300: 2
     301: 1
     302: 1
     303: 1
     304: 1
     305: 1
     306: 1
     307: 1
     308: 1
     309: q+2
     310: q+2
     311: q+2
     312: 2
     313: 2
     314: q+2
     315: 2q+2
     316: 2
     317: 2
     318: 1
     319: 1
     320: 1
     321: 2
     325: 1
     326: 1
     327: 1
     328: 1
     329: 1
     330: 1
     331: 1
     332: 1
     333: 2
     334: 2
     335: 2
     336: 2
     338: 2
     339: 2
     340: 2
     341: 2
     342: 1
     343: 1
     344: 1
     345: 1
     350: 1
     351: 1
     354: 1
     355: 1
     356: 1
     357: 1
     358: 1
     359: 1
     360: 1
     361: 1
     362: 1
     363: 1
     364: 1
     365: 1
     366: 1
     367: 1
     368: 1
     369: 1
     378: 1
     379: 1
     380: 1
     381: 1
     382: 1
     383: 1
     390: 2
     391: q+2
     392: 2
     393: 2
     394: 1
     395: 1
     396: 1
     397: 1
     398: 1
     399: 1
     400: 1
     401: 1
     402: 2
     403: q+2
     404: 2
     405: q+2
     406: 2
     407: 2
     408: 1
     409: 1
     421: 2
     422: 1
     423: 1
     424: 1
     425: 2
     428: 2
     429: 2
     430: 2
     431: 2
     432: 1
     433: 1
     434: 1
     435: 1
     444: 1
     445: 1
     448: 1
     449: 1
     450: 1
     451: 1
     452: 1
     453: 1
     454: 1
     455: 1
     456: 1
     457: 1
     460: 1
     461: 1
     462: 1
     463: 1
     478: 1
     479: 1
     488: 2
     489: 1
     490: 1
     491: 1
     492: 1
     493: 1
     494: 1
     495: 1
     496: 1
     497: 2
     498: 2
     507: 1
     508: 1
     509: 2
     510: 2
     511: q+2
     512: 2
     513: 1
     514: 2
     516: 1
     521: 1
     522: 1
     525: 1
     526: 1
     527: 1
     528: 1
     535: 1
     536: 1
     539: 1
     540: 1
     541: 1
     542: 1
     549: 1
     550: 1
     551: 1
     552: 1
     555: 1
     556: 1
     557: 1
     558: 1
     595: 1
     596: 2
     597: 1
     598: 1
     599: 1
     600: 2
     601: 2
     602: 1
     607: 1
     611: 1
     612: 1
     613: 1
     614: 1
     629: 1
     630: 1
     645: 1
     646: 1
     647: 1
     648: 1
     681: 1
     682: 1
     683: 1
     684: 1
     685: 2
     686: 1
     687: 1
     721: 1
     722: 1
     751: 1
     752: 1
     753: 1
     806: 1

807:   0: 2q+2
       1: 2q+2
       2: 2q+2
       3: 2q+2
       4: 2q+2
       5: q^3+q+2
       6: 2q+2
       7: 2q+2
       8: 2q+2
       9: q^3+q+2
      10: q^3+q+2
      11: 2q+2
      12: 2q+2
      13: q^3+q+2
      14: q^3+q+2
      15: q+2
      16: q+2
      17: q+2
      18: q+2
      19: 2q+2
      20: 2q+2
      21: 2q+2
      22: q^3+q+2
      23: 2q+2
      24: 2q+2
      25: 2q+2
      26: q^3+q+2
      27: 2q+2
      28: 2q+2
      29: q^3+q+2
      30: 2q+2
      31: 2
      32: 2
      33: 2
      34: 2
      35: 2q+2
      36: 2q+2
      37: 2q+2
      38: q^3+q+2
      39: q+2
      40: q+2
      41: 2q+2
      42: 2
      43: 2
      44: 2
      45: q+2
      46: 2q+2
      47: 2q+2
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: q+2
      57: q+2
      58: q+2
      59: q+2
      60: 2q+2
      61: 2q+2
      62: 2q+2
      63: q^3+q+2
      64: 2q+2
      65: 2q+2
      66: 2q+2
      67: q^3+q+2
      68: 2
      69: 2
      70: 2
      71: 2
      72: 2q+2
      73: 2q+2
      74: 2q+2
      75: q^3+q+2
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: 1
      82: q+2
      83: 2q+2
      84: q+2
      85: q+2
      86: 2q+2
      87: 2
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 2
      97: 2
      98: 2
      99: 2
     100: q+2
     101: 2q+2
     102: q+2
     103: 2q+2
     104: q+2
     105: q+2
     106: q+2
     107: q+2
     108: 2q+2
     109: 2q+2
     110: 2q+2
     111: q^3+q+2
     112: 2
     113: 2
     114: 2
     115: 2
     116: 2q+2
     117: 2q+2
     118: 2q+2
     119: q^3+q+2
     120: 2
     121: 2
     122: 2
     123: 2
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 1
     134: q+2
     135: q+2
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: 1
     144: q+2
     145: 2q+2
     146: 2q+2
     147: 2
     148: 2
     149: 2
     150: 2
     152: 2
     153: 2
     154: q+2
     155: 2q+2
     156: q+2
     157: q+2
     158: 2q+2
     159: 2
     160: 2
     161: 2
     162: 1
     163: 1
     164: 1
     165: 1
     166: 1
     167: 1
     168: 1
     169: 1
     170: q+2
     171: q+2
     172: q+2
     173: q+2
     174: 2
     175: 2
     176: 2
     177: 2
     178: 2q+2
     179: 2q+2
     180: 2q+2
     181: q^3+q+2
     182: 2
     183: 2
     184: 2
     185: 2
     186: 1
     187: 1
     188: 1
     189: 1
     190: 1
     191: 1
     192: 1
     193: 1
     194: 1
     195: 1
     198: 1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     206: 1
     207: 1
     208: 1
     209: 1
     210: 1
     211: 1
     212: 1
     213: 1
     214: q+2
     215: q+2
     216: q+2
     217: q+2
     218: 2q+2
     219: 2
     220: 2
     221: 2
     222: 2
     223: 2
     225: 2
     226: q+2
     227: q+2
     228: 2q+2
     229: 2q+2
     230: 2
     231: 2
     232: 1
     233: 1
     234: 1
     235: 1
     236: 1
     237: 1
     238: 1
     239: 1
     240: 2
     242: 2
     243: 2
     244: 2
     245: 2
     246: 2
     247: 2
     248: 1
     249: 1
     250: 1
     251: 1
     252: q+2
     253: q+2
     254: q+2
     255: q+2
     256: 2
     257: 2
     258: 2
     259: 2
     260: 1
     261: 1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     267: 1
     268: 1
     269: 1
     270: 1
     271: 1
     276: 1
     277: 1
     278: 1
     279: 1
     280: 1
     281: 1
     282: 1
     283: 1
     286: 1
     287: 1
     296: q+2
     297: q+2
     298: 2
     299: 2
     300: 2
     301: 1
     302: 1
     303: 1
     304: 1
     305: 1
     306: 1
     307: 1
     308: 1
     309: 2
     310: 1
     311: 1
     314: 1
     315: 2
     317: q+2
     318: q+2
     319: q+2
     320: q+2
     321: 2q+2
     322: 2
     323: 2
     324: 2
     325: 1
     326: 1
     327: 1
     328: 1
     329: 1
     330: 1
     331: 1
     332: 1
     333: 2
     334: 2
     335: 2
     337: 2
     338: 2
     339: 2
     340: 2
     341: 2
     342: 1
     343: 1
     344: 1
     345: 1
     350: 1
     351: 1
     354: 1
     355: 1
     356: 1
     357: 1
     358: 1
     359: 1
     360: 1
     361: 1
     370: 1
     371: 1
     372: 1
     373: 1
     374: 1
     375: 1
     376: 1
     377: 1
     378: 1
     379: 1
     380: 1
     381: 1
     382: 1
     383: 1
     390: q+2
     391: 2
     392: 2
     393: 2
     394: 1
     395: 1
     396: 1
     397: 1
     398: 1
     399: 1
     400: 1
     401: 1
     402: 2
     403: 1
     405: 1
     408: q+2
     409: q+2
     410: 2
     411: 2
     412: 2
     421: 2
     422: 1
     423: 1
     426: 1
     427: 2
     428: 2
     429: 2
     430: 2
     431: 2
     432: 1
     433: 1
     434: 1
     435: 1
     444: 1
     445: 1
     448: 1
     449: 1
     450: 1
     451: 1
     452: 1
     453: 1
     464: 1
     465: 1
     466: 1
     467: 1
     470: 1
     471: 1
     472: 1
     473: 1
     478: 1
     479: 1
     488: 2
     489: 1
     490: 1
     491: 1
     492: 1
     493: 1
     494: 1
     495: 1
     496: 1
     497: 2
     498: 2
     507: 1
     508: 1
     511: 1
     515: 2
     516: q+2
     517: 2
     518: 2
     519: 1
     520: 2
     521: 1
     523: 1
     525: 1
     526: 1
     527: 1
     528: 1
     535: 1
     536: 1
     539: 1
     540: 1
     541: 1
     542: 1
     561: 1
     562: 1
     563: 1
     564: 1
     567: 1
     568: 1
     569: 1
     570: 1
     595: 1
     596: 2
     597: 1
     598: 1
     603: 1
     604: 2
     605: 2
     606: 1
     608: 1
     611: 1
     612: 1
     613: 1
     614: 1
     629: 1
     630: 1
     655: 1
     656: 1
     657: 1
     658: 1
     681: 1
     682: 1
     683: 1
     688: 1
     689: 2
     690: 1
     691: 1
     729: 1
     730: 1
     751: 1
     754: 1
     755: 1
     807: 1

808:   0: 6q+2
       1: 2q^2+4q+2
       2: 6q+2
       3: 2q^2+4q+2
       4: 6q+2
       5: 2q^2+4q+2
       6: q^3+2q^2+3q+2
       7: 2q^2+4q+2
       8: 6q+2
       9: q^3+2q^2+3q+2
      10: 2q^2+4q+2
      11: q^3+2q^2+3q+2
      12: 2q^2+4q+2
      13: q^3+2q^2+3q+2
      14: q^4+2q^3+2q^2+2q+1
      15: 2q^2+4q+2
      16: q^3+2q^2+3q+2
      17: 2q^2+4q+2
      18: q^3+2q^2+3q+2
      19: 4q+2
      20: q^2+3q+2
      21: 4q+2
      22: q^3+2q^2+2q+1
      23: 6q+2
      24: 6q+2
      25: q^3+2q^2+3q+2
      26: q^3+2q^2+3q+2
      27: 4q+2
      28: q^2+3q+2
      29: q^2+3q+2
      30: 4q+2
      31: 6q+2
      32: 2q^2+4q+2
      33: 6q+2
      34: 2q^2+4q+2
      35: 6q+2
      36: 2q^2+4q+2
      37: 6q+2
      38: 2q^2+4q+2
      39: q^3+2q^2+3q+2
      40: q^2+3q+2
      41: 3q+2
      42: 2q^2+4q+2
      43: 4q+2
      44: 6q+2
      45: 2q^2+4q+2
      46: 4q+2
      47: 6q+2
      48: 3q+1
      49: 3q+1
      50: q^2+2q+1
      51: q^2+2q+1
      52: 3q+1
      53: 3q+1
      54: q^2+2q+1
      55: q^2+2q+1
      56: 4q+2
      57: q^2+3q+2
      58: 4q+2
      59: q^3+2q^2+2q+1
      60: 4q+2
      61: 4q+2
      62: q^2+3q+2
      63: q^3+2q^2+2q+1
      64: 4q+2
      65: q^2+3q+2
      66: 4q+2
      67: q^2+3q+2
      68: 4q+2
      69: q^2+3q+2
      70: 4q+2
      71: q^2+3q+2
      72: 4q+2
      73: q^2+3q+2
      74: 4q+2
      75: q^2+3q+2
      76: q^2+2q+1
      77: q^2+2q+1
      78: 2q+1
      79: 2q+1
      80: 3q+1
      81: 3q+1
      82: q^2+2q+1
      83: 3q+2
      84: 3q+2
      85: q^2+3q+2
      86: 2q+2
      87: 2q+2
      88: q+1
      89: q+1
      90: q+1
      91: q+1
      92: q+1
      93: q+1
      94: q+1
      95: q+1
      96: 4q+2
      97: 4q+2
      98: q^2+3q+2
      99: 3q+2
     100: 4q+2
     101: 4q+2
     102: q^2+3q+2
     103: 3q+2
     104: 4q+2
     105: 4q+2
     106: q^2+3q+2
     107: q^3+2q^2+2q+1
     108: 2q+2
     109: 2q+2
     110: 2q+2
     111: q^2+2q+1
     112: 4q+2
     113: q^2+3q+2
     114: 4q+2
     115: q^2+3q+2
     116: 4q+2
     117: q^2+3q+2
     118: 4q+2
     119: q^2+3q+2
     120: 4q+2
     121: q^2+3q+2
     122: 4q+2
     123: q^2+3q+2
     124: 1
     125: 1
     126: q+1
     127: q+1
     128: q+1
     129: q+1
     130: 2q+1
     131: 2q+1
     132: 2q+1
     133: 2q+1
     134: q^2+2q+1
     135: 3q+2
     136: q+1
     137: q+1
     138: q+1
     139: q+1
     140: q+1
     141: q+1
     142: q+1
     143: q+1
     144: 2q+1
     145: 2q+2
     146: q+2
     147: q+2
     148: 4q+2
     149: 3q+2
     150: q^2+3q+2
     151: 2q+2
     152: 3q+2
     153: 2q+2
     154: 4q+2
     155: 3q+2
     156: q^2+3q+2
     157: 3q+2
     158: 2q+2
     159: 2q+2
     160: q^2+3q+2
     161: 3q+2
     162: q+1
     163: q+1
     164: q+1
     165: q+1
     166: q+1
     167: q+1
     168: q+1
     169: q+1
     170: 2q+2
     171: 2q+2
     172: 2q+2
     173: q^2+2q+1
     174: 2q+2
     175: 2q+2
     176: 2q+2
     177: q^2+2q+1
     178: 2q+2
     179: 2q+2
     180: 2q+2
     181: q^2+2q+1
     182: 4q+2
     183: q^2+3q+2
     184: 4q+2
     185: q^2+3q+2
     186: q+1
     187: q+1
     188: q+1
     189: q+1
     190: 1
     191: 1
     192: 1
     193: 1
     194: q+1
     195: q+1
     196: 1
     197: 1
     198: 1
     199: 1
     200: 2q+1
     201: 2q+1
     202: q+1
     203: q+1
     204: q+1
     205: q+1
     214: 2q+1
     215: 2q+1
     216: 2q+2
     217: q+2
     218: q+2
     219: q+2
     220: q+2
     221: 3q+2
     222: 2q+1
     223: 2q+2
     224: q+2
     225: q+2
     226: 3q+2
     227: 2q+1
     228: 2q+2
     229: q+2
     230: q+2
     231: 3q+2
     232: q+1
     233: q+1
     234: q+1
     235: q+1
     236: q+1
     237: q+1
     238: q+1
     239: q+1
     240: q^2+3q+2
     241: 2q+2
     242: 2q+2
     243: 3q+2
     244: 4
     245: 2q+2
     246: 4
     247: 2q+2
     248: 2q+2
     249: 2q+2
     250: 2q+2
     251: q^2+2q+1
     252: 2q+2
     253: 2q+2
     254: 2q+2
     255: q^2+2q+1
     256: 2q+2
     257: 2q+2
     258: 2q+2
     259: q^2+2q+1
     264: q+1
     265: q+1
     268: 1
     269: 1
     270: 1
     271: 1
     272: 1
     273: 1
     274: 1
     275: 1
     276: 1
     277: 1
     278: 1
     279: 1
     280: q+1
     281: q+1
     282: q+1
     283: q+1
     284: 1
     285: 1
     286: q+1
     287: q+1
     296: 2q+1
     297: q+2
     298: q+2
     299: 2
     300: 2q+2
     301: 2
     302: 2
     303: q+1
     304: q+1
     305: 2
     306: 2
     307: q+1
     308: q+1
     309: 2q+1
     310: 2q+1
     311: 2q+2
     312: q+2
     313: q+2
     314: q+2
     315: q+2
     316: 4
     317: 2q+1
     318: 2q+1
     319: 2q+2
     320: q+2
     321: q+2
     322: q+2
     323: q+2
     324: 4
     333: 3q+2
     334: 2q+1
     335: 2q+2
     336: q+2
     337: q+2
     338: 2
     339: q+1
     340: 2
     341: q+1
     342: 2q+2
     343: 2q+2
     344: 2q+2
     345: q^2+2q+1
     356: 1
     357: 1
     358: 1
     359: 1
     360: q+1
     361: q+1
     362: 1
     363: 1
     366: 1
     367: 1
     368: 2
     369: 2
     370: 1
     371: 1
     374: 1
     375: 1
     376: 2
     377: 2
     382: q+1
     383: q+1
     384: 1
     385: 1
     386: 1
     387: 1
     388: 2
     389: 2
     390: q+1
     391: q+1
     392: 2
     393: q+1
     402: 1
     403: 2q+1
     404: q+2
     405: q+2
     406: 2
     407: 2
     408: 2q+1
     409: q+2
     410: q+2
     411: 2
     412: 2
     421: 2q+1
     422: 2q+1
     423: 2q+2
     424: q+2
     425: q+2
     426: q+2
     427: q+2
     428: 2
     429: q+1
     430: 2
     431: q+1
     432: 2
     433: q+1
     434: 2
     435: q+1
     436: 1
     437: 1
     439: 1
     440: 1
     450: 1
     451: 1
     456: 1
     457: 1
     460: 1
     461: 1
     466: 1
     467: 1
     470: 1
     471: 1
     480: 1
     481: 1
     484: 1
     485: 1
     486: 1
     487: 1
     488: q+1
     497: 1
     498: 1
     507: q+1
     508: 1
     509: 2
     510: q+1
     511: q+1
     512: 2
     513: 2
     514: 1
     515: 2
     516: q+1
     517: q+1
     518: 2
     519: 2
     520: 1
     521: 2q+1
     522: q+2
     523: q+2
     524: 2
     525: 2
     526: q+1
     527: 2
     528: q+1
     557: 1
     558: 1
     569: 1
     570: 1
     575: 1
     576: 1
     579: 1
     580: 1
     583: 1
     584: 1
     585: 1
     586: 1
     595: q+1
     596: 1
     597: 1
     598: 1
     599: 2
     600: 1
     601: 1
     602: 1
     603: 2
     604: 1
     605: 1
     606: 1
     607: q+1
     608: q+1
     609: 2
     610: 1
     661: 1
     662: 1
     669: 1
     670: 1
     683: 1
     685: 1
     686: 1
     687: 1
     689: 1
     690: 1
     691: 1
     692: 1
     693: 1
     694: 1
     752: 1
     754: 1
     756: 1
     757: 1
     758: 1
     808: 1

809:   0: 12q^2+10q+2
       1: 12q^2+10q+2
       2: 6q^3+14q^2+10q+2
       3: 4q^3+10q^2+8q+2
       4: 12q^2+10q+2
       5: 2q^3+6q^2+6q+2
       6: 4q^3+10q^2+8q+2
       7: 12q^2+10q+2
       8: 6q^3+14q^2+10q+2
       9: q^4+3q^3+5q^2+5q+2
      10: 2q^3+6q^2+6q+2
      11: q^4+3q^3+5q^2+5q+2
      12: 2q^4+8q^3+12q^2+8q+2
      13: q^3+2q^2+3q+2
      14: q^3+2q^2+3q+2
      15: 6q^2+6q+2
      16: 2q^3+5q^2+5q+2
      17: 6q^2+6q+2
      18: q^3+2q^2+3q+2
      19: 12q^2+10q+2
      20: 4q^3+10q^2+8q+2
      21: 12q^2+10q+2
      22: q^3+2q^2+3q+2
      23: 10q^2+10q+2
      24: 10q^2+10q+2
      25: 2q^3+5q^2+5q+2
      26: q^3+2q^2+3q+2
      27: 8q^2+8q+2
      28: 8q^2+8q+2
      29: q^3+4q^2+5q+2
      30: 4q^3+10q^2+8q+2
      31: 12q^2+10q+2
      32: 12q^2+10q+2
      33: 6q^3+14q^2+10q+2
      34: 2q^3+6q^2+6q+2
      35: 12q^2+10q+2
      36: 12q^2+10q+2
      37: 6q^3+14q^2+10q+2
      38: 2q^3+6q^2+6q+2
      39: q^3+2q^2+3q+2
      40: 4q^2+5q+2
      41: 8q^2+8q+2
      42: 6q^2+6q+2
      43: 12q^2+10q+2
      44: 10q^2+10q+2
      45: 6q^2+6q+2
      46: 12q^2+10q+2
      47: 10q^2+10q+2
      48: 6q^2+5q+1
      49: 6q^2+5q+1
      50: 6q^2+5q+1
      51: 6q^2+5q+1
      52: 3q^3+7q^2+5q+1
      53: 3q^3+7q^2+5q+1
      54: q^3+3q^2+3q+1
      55: q^3+3q^2+3q+1
      56: 6q^2+6q+2
      57: 2q^3+5q^2+5q+2
      58: 6q^2+6q+2
      59: q^3+2q^2+3q+2
      60: 10q^2+10q+2
      61: 10q^2+10q+2
      62: 2q^3+5q^2+5q+2
      63: q^3+2q^2+3q+2
      64: 6q^2+8q+2
      65: 3q^2+5q+2
      66: 6q^2+8q+2
      67: q^2+3q+2
      68: 8q^2+8q+2
      69: 8q^2+8q+2
      70: 4q^3+10q^2+8q+2
      71: q^3+4q^2+5q+2
      72: 8q^2+8q+2
      73: 8q^2+8q+2
      74: 4q^3+10q^2+8q+2
      75: q^3+4q^2+5q+2
      76: 3q^2+3q+1
      77: 3q^2+3q+1
      78: 6q^2+5q+1
      79: 6q^2+5q+1
      80: 5q^2+5q+1
      81: 5q^2+5q+1
      82: q^3+2q^2+3q+2
      83: 2q^2+5q+2
      84: 4q^2+5q+2
      85: q^2+3q+2
      86: 3q^2+6q+2
      87: 3q^2+6q+2
      88: 2q^2+3q+1
      89: 2q^2+3q+1
      90: 2q^2+3q+1
      91: 2q^2+3q+1
      92: q^3+3q^2+3q+1
      93: q^3+3q^2+3q+1
      94: q^2+2q+1
      95: q^2+2q+1
      96: 6q^2+6q+2
      97: 10q^2+10q+2
      98: 4q^2+5q+2
      99: 8q^2+8q+2
     100: 6q^2+6q+2
     101: 10q^2+10q+2
     102: 4q^2+5q+2
     103: 8q^2+8q+2
     104: 4q^2+6q+2
     105: 4q^2+6q+2
     106: q^2+3q+2
     107: q^2+3q+2
     108: 6q^2+8q+2
     109: 3q^2+5q+2
     110: 6q^2+8q+2
     111: q^2+3q+2
     112: 6q^2+8q+2
     113: 3q^2+5q+2
     114: 6q^2+8q+2
     115: q^2+3q+2
     116: 6q^2+8q+2
     117: 3q^2+5q+2
     118: 6q^2+8q+2
     119: q^2+3q+2
     120: 8q^2+8q+2
     121: 8q^2+8q+2
     122: 4q^3+10q^2+8q+2
     123: q^3+4q^2+5q+2
     124: 2q+1
     125: 2q+1
     126: q^2+2q+1
     127: q^2+2q+1
     128: 2q^2+3q+1
     129: 2q^2+3q+1
     130: 3q^2+3q+1
     131: 3q^2+3q+1
     132: 5q^2+5q+1
     133: 5q^2+5q+1
     134: q^2+3q+2
     135: 3q+2
     136: q^2+2q+1
     137: q^2+2q+1
     138: q+1
     139: q+1
     140: q^2+2q+1
     141: q^2+2q+1
     142: q+1
     143: q+1
     144: q^2+3q+2
     145: 2q^2+5q+2
     146: 3q^2+6q+2
     147: 3q^2+6q+2
     148: 4q^2+6q+2
     149: 2q^2+5q+2
     150: q^2+3q+2
     151: 3q^2+6q+2
     152: 4q^2+5q+2
     153: 3q^2+6q+2
     154: 4q^2+6q+2
     155: 2q^2+5q+2
     156: q^2+3q+2
     157: 4q^2+5q+2
     158: 3q^2+6q+2
     159: 3q^2+6q+2
     160: 4q^2+5q+2
     161: 8q^2+8q+2
     162: 2q^2+3q+1
     163: 2q^2+3q+1
     164: 2q^2+3q+1
     165: 2q^2+3q+1
     166: q^3+3q^2+3q+1
     167: q^3+3q^2+3q+1
     168: q^2+2q+1
     169: q^2+2q+1
     170: 2q^2+4q+2
     171: 2q+2
     172: 2q^2+4q+2
     173: 2q+2
     174: 6q^2+8q+2
     175: 3q^2+5q+2
     176: 6q^2+8q+2
     177: q^2+3q+2
     178: 6q^2+8q+2
     179: 3q^2+5q+2
     180: 6q^2+8q+2
     181: q^2+3q+2
     182: 6q^2+8q+2
     183: 3q^2+5q+2
     184: 6q^2+8q+2
     185: q^2+3q+2
     186: q+1
     187: q+1
     188: q+1
     189: q+1
     190: q+1
     191: q+1
     192: 2q+1
     193: 2q+1
     194: q^2+2q+1
     195: q^2+2q+1
     196: 2q+1
     197: 2q+1
     198: 2q+1
     199: 2q+1
     200: 2q^2+3q+1
     201: 2q^2+3q+1
     202: q^2+2q+1
     203: q^2+2q+1
     204: 2q^2+3q+1
     205: 2q^2+3q+1
     206: q^2+2q+1
     207: q^2+2q+1
     208: q+1
     209: q+1
     210: q^2+2q+1
     211: q^2+2q+1
     212: q+1
     213: q+1
     214: 3q+2
     215: 2q+2
     216: 2q+2
     217: q^2+3q+2
     218: q^2+3q+2
     219: q^2+3q+2
     220: q^2+3q+2
     221: 3q+2
     222: q^2+3q+2
     223: 2q^2+5q+2
     224: 3q^2+6q+2
     225: 3q^2+6q+2
     226: 3q+2
     227: q^2+3q+2
     228: 2q^2+5q+2
     229: 3q^2+6q+2
     230: 3q^2+6q+2
     231: 2q^2+5q+2
     232: q^2+2q+1
     233: q^2+2q+1
     234: q+1
     235: q+1
     236: q^2+2q+1
     237: q^2+2q+1
     238: q+1
     239: q+1
     240: q^2+3q+2
     241: 3q^2+6q+2
     242: 3q^2+6q+2
     243: 4q^2+5q+2
     244: 6q+4
     245: q^2+3q+2
     246: 6q+4
     247: 2q+2
     248: 2q^2+4q+2
     249: 2q+2
     250: 2q^2+4q+2
     251: 2q+2
     252: 2q^2+4q+2
     253: 2q+2
     254: 2q^2+4q+2
     255: 2q+2
     256: 6q^2+8q+2
     257: 3q^2+5q+2
     258: 6q^2+8q+2
     259: q^2+3q+2
     260: q+1
     261: q+1
     262: q+1
     263: q+1
     264: q+1
     265: q+1
     266: q+1
     267: q+1
     268: 1
     269: 1
     270: q+1
     271: q+1
     272: q+1
     273: q+1
     274: 2q+1
     275: 2q+1
     276: q+1
     277: q+1
     278: 2q+1
     279: 2q+1
     280: q+1
     281: q+1
     282: q+1
     283: q+1
     284: 2q+1
     285: 2q+1
     286: q^2+2q+1
     287: q^2+2q+1
     296: 2q+2
     297: q+2
     298: q+2
     299: q+2
     300: 2q+2
     301: 2q+2
     302: 2q+2
     303: q+1
     304: q+1
     305: 2q+2
     306: 2q+2
     307: q+1
     308: q+1
     309: 3q+2
     310: 2q+2
     311: 2q+2
     312: q^2+3q+2
     313: q^2+3q+2
     314: q^2+3q+2
     315: q^2+3q+2
     316: 6q+4
     317: 3q+2
     318: 2q+2
     319: 2q+2
     320: q^2+3q+2
     321: q^2+3q+2
     322: q^2+3q+2
     323: q^2+3q+2
     324: 6q+4
     325: q^2+2q+1
     326: q^2+2q+1
     327: q+1
     328: q+1
     329: q^2+2q+1
     330: q^2+2q+1
     331: q+1
     332: q+1
     333: 3q+2
     334: q^2+3q+2
     335: 2q^2+5q+2
     336: 3q^2+6q+2
     337: 3q^2+6q+2
     338: 6q+4
     339: q^2+3q+2
     340: 6q+4
     341: 2q+2
     342: 2q^2+4q+2
     343: 2q+2
     344: 2q^2+4q+2
     345: 2q+2
     350: q+1
     351: q+1
     354: 1
     355: 1
     356: 1
     357: 1
     358: 1
     359: 1
     360: q+1
     361: q+1
     362: 1
     363: 1
     364: q+1
     365: q+1
     366: q+1
     367: q+1
     368: 2q+2
     369: 2q+2
     370: 1
     371: 1
     372: q+1
     373: q+1
     374: q+1
     375: q+1
     376: 2q+2
     377: 2q+2
     378: q+1
     379: q+1
     380: q+1
     381: q+1
     382: q+1
     383: q+1
     384: 2q+1
     385: 2q+1
     386: q+1
     387: q+1
     388: 3q+2
     389: 3q+2
     390: q+2
     391: q+2
     392: 2
     393: 2q+2
     394: 2q+2
     395: 2q+2
     396: q+1
     397: q+1
     398: 2q+2
     399: 2q+2
     400: q+1
     401: q+1
     402: q+2
     403: 2q+2
     404: q+2
     405: q+2
     406: q+2
     407: 6q+4
     408: 2q+2
     409: q+2
     410: q+2
     411: q+2
     412: 6q+4
     421: 3q+2
     422: 2q+2
     423: 2q+2
     424: q^2+3q+2
     425: q^2+3q+2
     426: q^2+3q+2
     427: q^2+3q+2
     428: 4
     429: 2q+2
     430: 4
     432: 2q+2
     433: q+1
     434: 2q+2
     435: q+1
     436: q+1
     437: q+1
     439: q+1
     440: q+1
     444: 1
     445: 1
     448: 1
     449: 1
     450: 1
     451: 1
     452: q+1
     453: q+1
     454: 1
     455: 1
     456: 1
     457: 1
     460: 1
     461: 1
     462: 2q+2
     463: 2q+2
     464: 1
     465: 1
     466: 1
     467: 1
     470: 1
     471: 1
     472: 2q+2
     473: 2q+2
     478: q+1
     479: q+1
     480: 1
     481: 1
     482: q+1
     483: q+1
     484: q+1
     485: q+1
     486: 3q+2
     487: 3q+2
     489: 2
     490: 2
     491: q+1
     492: q+1
     493: 2
     494: 2
     497: 2
     498: 2
     507: q+1
     508: 1
     509: 4
     510: q+2
     511: q+2
     512: 2
     513: 2q+2
     514: q+2
     515: 4
     516: q+2
     517: q+2
     518: 2
     519: 2q+2
     520: q+2
     521: 2q+2
     522: q+2
     523: q+2
     524: q+2
     525: 2
     526: q+1
     527: 2
     529: q+1
     530: q+1
     532: q+1
     533: q+1
     539: 1
     540: 1
     541: 1
     542: 1
     549: 2
     550: 2
     551: 1
     552: 1
     555: 1
     556: 1
     557: 1
     558: 1
     561: 2
     562: 2
     563: 1
     564: 1
     567: 1
     568: 1
     569: 1
     570: 1
     575: 2
     576: 2
     577: 1
     578: 1
     579: 1
     580: 1
     583: 1
     584: 1
     585: q+1
     586: q+1
     597: 1
     598: 1
     599: 2
     600: 2
     601: 2
     602: 1
     603: 2
     604: 2
     605: 2
     606: 1
     607: q+2
     608: q+2
     609: 2
     610: q+2
     611: 2
     612: q+1
     613: 2
     615: 1
     616: 1
     618: 1
     619: 1
     645: 1
     646: 1
     647: 1
     648: 1
     655: 1
     656: 1
     657: 1
     658: 1
     661: 1
     662: 1
     663: 1
     664: 1
     667: 1
     668: 1
     669: 1
     670: 1
     682: 1
     684: 2
     686: 1
     687: 1
     688: 2
     690: 1
     691: 1
     692: 2
     693: 2
     694: 1
     735: 1
     736: 1
     739: 1
     740: 1
     743: 1
     744: 1
     753: 1
     755: 1
     757: 1
     758: 1
     809: 1

810:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^3+2q^2+2q+1
       3: q^2+2q+1
       4: q^3+2q^2+2q+1
       5: q^2+2q+1
       6: q^2+2q+1
       7: q^3+2q^2+2q+1
       8: q^4+2q^3+3q^2+2q+1
       9: q^2+2q+1
      10: q^3+2q^2+2q+1
      11: q+1
      12: q^4+2q^3+3q^2+2q+1
      13: q+1
      14: q+1
      15: q^2+2q+1
      16: q^2+2q+1
      17: q^3+2q^2+2q+1
      18: q+1
      19: q^2+2q+1
      20: q^2+2q+1
      21: q^3+2q^2+2q+1
      22: q+1
      23: q^2+2q+1
      24: q^3+2q^2+2q+1
      25: q+1
      26: q+1
      27: q^2+2q+1
      28: q^2+2q+1
      29: q^2+2q+1
      30: q^4+2q^3+3q^2+2q+1
      31: q^2+2q+1
      32: q^2+2q+1
      33: q^3+2q^2+2q+1
      34: q^2+2q+1
      35: q^2+2q+1
      36: q^2+2q+1
      37: q^3+2q^2+2q+1
      38: q^2+2q+1
      39: q+1
      40: q^2+2q+1
      41: q^2+2q+1
      42: q^2+2q+1
      43: q^2+2q+1
      44: q^2+2q+1
      45: q^2+2q+1
      46: q^2+2q+1
      47: q^2+2q+1
      48: q^2+2q+1
      50: q^2+2q+1
      52: q^3+2q^2+2q+1
      54: q^2+2q+1
      56: q^2+2q+1
      57: q^2+2q+1
      58: q^3+2q^2+2q+1
      59: q+1
      60: q^2+2q+1
      61: q^3+2q^2+2q+1
      62: q+1
      63: q+1
      64: q^2+2q+1
      65: q+1
      66: q^3+2q^2+2q+1
      67: q+1
      68: q^2+2q+1
      69: q^2+2q+1
      70: q^3+2q^2+2q+1
      71: q^2+2q+1
      72: q^2+2q+1
      73: q^2+2q+1
      74: q^3+2q^2+2q+1
      75: q^2+2q+1
      76: q^2+2q+1
      78: q^2+2q+1
      80: q^2+2q+1
      82: q+1
      83: q+1
      84: q^2+2q+1
      85: q+1
      86: q^2+2q+1
      87: q^2+2q+1
      88: q^2+2q+1
      90: q^2+2q+1
      92: q^3+2q^2+2q+1
      94: q^2+2q+1
      96: q^2+2q+1
      97: q^2+2q+1
      98: q^2+2q+1
      99: q^2+2q+1
     100: q^2+2q+1
     101: q^2+2q+1
     102: q^2+2q+1
     103: q^2+2q+1
     104: q^2+2q+1
     105: q^3+2q^2+2q+1
     106: q+1
     107: q+1
     108: q^2+2q+1
     109: q+1
     110: q^3+2q^2+2q+1
     111: q+1
     112: q^2+2q+1
     113: q+1
     114: q^2+2q+1
     115: q+1
     116: q^2+2q+1
     117: q+1
     118: q^2+2q+1
     119: q+1
     120: q+1
     121: q+1
     122: q^3+2q^2+2q+1
     123: q+1
     124: q^2+2q+1
     126: q^2+2q+1
     128: q^2+2q+1
     130: q^2+2q+1
     132: q^2+2q+1
     134: q+1
     135: q+1
     136: q^2+2q+1
     138: q+1
     140: q^2+2q+1
     142: q+1
     144: q+1
     145: q+1
     146: q^2+2q+1
     147: q^2+2q+1
     148: q^2+2q+1
     149: q+1
     150: q+1
     151: q+1
     152: q^2+2q+1
     153: q^2+2q+1
     154: q^2+2q+1
     155: q+1
     156: q+1
     157: q^2+2q+1
     158: q^2+2q+1
     159: q+1
     160: q+1
     161: q+1
     162: q+1
     164: q+1
     166: q^3+2q^2+2q+1
     168: q+1
     170: q^2+2q+1
     171: q+1
     172: q^3+2q^2+2q+1
     173: q+1
     174: q^2+2q+1
     175: q+1
     176: q^2+2q+1
     177: q+1
     178: q^2+2q+1
     179: q+1
     180: q^2+2q+1
     181: q+1
     182: q+1
     183: 1
     184: q^2+2q+1
     185: 1
     186: q+1
     188: q+1
     190: q^2+2q+1
     192: q^2+2q+1
     194: q^2+2q+1
     196: q+1
     198: q+1
     200: q^2+2q+1
     202: q+1
     204: q+1
     206: q^2+2q+1
     208: q+1
     210: q^2+2q+1
     212: q+1
     214: q+1
     215: q+1
     216: q+1
     217: q^2+2q+1
     218: q+1
     219: q^2+2q+1
     220: q+1
     221: q+1
     222: q+1
     223: q+1
     224: q+1
     225: q^2+2q+1
     226: q+1
     227: q+1
     228: q+1
     229: q^2+2q+1
     230: q+1
     231: 1
     232: q+1
     234: 1
     236: q^2+2q+1
     238: 1
     240: 1
     241: q+1
     242: q+1
     243: q+1
     244: q+1
     245: 1
     246: q^2+2q+1
     247: 1
     248: q^2+2q+1
     249: q+1
     250: q^2+2q+1
     251: q+1
     252: q^2+2q+1
     253: q+1
     254: q^2+2q+1
     255: q+1
     256: q+1
     257: 1
     258: q^2+2q+1
     259: 1
     260: q+1
     262: q+1
     264: q+1
     266: q^2+2q+1
     268: q+1
     270: q^2+2q+1
     272: q+1
     274: q+1
     276: q+1
     278: q+1
     280: 1
     282: 1
     284: q+1
     286: q+1
     288: q^2+2q+1
     290: q+1
     292: q^2+2q+1
     294: q+1
     296: q+1
     297: q+1
     298: q+1
     299: 1
     300: 1
     301: q+1
     303: 1
     305: q^2+2q+1
     307: 1
     309: q+1
     310: q+1
     311: q+1
     312: q+1
     313: 1
     314: q^2+2q+1
     315: q+1
     316: q+1
     317: q+1
     318: q+1
     319: q+1
     320: q^2+2q+1
     321: q+1
     322: q+1
     323: 1
     324: q+1
     325: q+1
     327: 1
     329: q^2+2q+1
     331: 1
     333: 1
     334: 1
     335: 1
     336: q+1
     337: q+1
     338: q+1
     339: 1
     340: q^2+2q+1
     341: 1
     342: q+1
     343: 1
     344: q^2+2q+1
     345: 1
     346: q+1
     348: q+1
     350: q+1
     352: q^2+2q+1
     354: q+1
     356: q+1
     358: 1
     360: 1
     362: 1
     364: q+1
     366: q+1
     368: q+1
     370: 1
     372: q+1
     374: q+1
     376: q+1
     378: 1
     380: 1
     382: 1
     384: q+1
     386: q+1
     388: q+1
     390: q+1
     391: q+1
     392: 1
     393: 1
     394: q+1
     396: 1
     398: q^2+2q+1
     400: 1
     402: 1
     403: q+1
     404: 1
     405: q+1
     406: 1
     407: q+1
     408: q+1
     409: q+1
     410: 1
     411: 1
     412: q+1
     413: q+1
     415: 1
     417: q^2+2q+1
     419: 1
     421: 1
     422: 1
     423: 1
     424: q+1
     425: 1
     426: q+1
     427: 1
     428: 1
     429: 1
     430: q+1
     432: q+1
     433: 1
     434: q^2+2q+1
     435: 1
     436: q+1
     442: q+1
     444: q+1
     446: q+1
     448: 1
     450: 1
     452: 1
     454: 1
     456: 1
     458: q+1
     460: 1
     462: q+1
     464: 1
     466: 1
     468: q+1
     470: 1
     472: q+1
     474: 1
     476: 1
     478: 1
     480: 1
     482: q+1
     484: q+1
     486: q+1
     489: 1
     491: 1
     493: q+1
     497: 1
     498: 1
     499: q+1
     501: 1
     503: q^2+2q+1
     505: 1
     507: 1
     508: 1
     509: 1
     510: 1
     511: q+1
     512: 1
     513: q+1
     514: 1
     515: 1
     516: q+1
     517: 1
     518: 1
     519: q+1
     520: 1
     521: 1
     522: 1
     523: 1
     525: 1
     526: 1
     527: q+1
     529: q+1
     537: q+1
     539: 1
     541: 1
     543: 1
     545: 1
     547: 1
     549: 1
     551: 1
     553: 1
     555: 1
     557: 1
     559: q+1
     561: 1
     563: 1
     565: 1
     567: 1
     569: 1
     571: q+1
     573: 1
     575: 1
     577: 1
     579: 1
     581: q+1
     585: q+1
     587: 1
     589: 1
     591: q+1
     597: 1
     598: 1
     599: 1
     600: 1
     601: 1
     602: 1
     603: 1
     604: 1
     605: 1
     606: 1
     607: 1
     608: 1
     611: 1
     612: 1
     613: q+1
     615: 1
     621: q+1
     631: 1
     633: 1
     635: 1
     637: 1
     639: 1
     641: 1
     643: 1
     645: 1
     647: 1
     649: 1
     651: 1
     653: 1
     655: 1
     657: 1
     659: 1
     661: 1
     663: 1
     665: 1
     673: 1
     675: 1
     677: q+1
     682: 1
     684: 1
     686: 1
     687: 1
     688: 1
     690: 1
     691: 1
     695: 1
     701: 1
     709: 1
     713: 1
     715: 1
     717: 1
     719: 1
     723: 1
     725: 1
     727: 1
     731: 1
     733: 1
     735: 1
     737: 1
     753: 1
     755: 1
     759: 1
     765: 1
     781: 1
     783: 1
     787: 1
     791: 1
     810: 1

811:   0: 5q^2+3q
       1: 5q^2+3q
       2: 2q^3+5q^2+3q
       3: 5q^2+3q
       4: 2q^3+5q^2+3q
       5: 5q^2+3q
       6: 5q^2+3q
       7: 2q^3+5q^2+3q
       8: 3q^3+5q^2+3q
       9: 5q^2+3q
      10: 2q^3+5q^2+3q
      11: q^3+3q^2+2q
      12: 3q^3+5q^2+3q
      13: q^3+3q^2+2q
      14: q^3+3q^2+2q
      15: 5q^2+3q
      16: 5q^2+3q
      17: 2q^3+5q^2+3q
      18: q^3+3q^2+2q
      19: 5q^2+3q
      20: 5q^2+3q
      21: 2q^3+5q^2+3q
      22: q^3+3q^2+2q
      23: 4q^2+3q
      24: q^3+4q^2+3q
      25: 3q^2+2q
      26: 3q^2+2q
      27: 5q^2+3q
      28: 5q^2+3q
      29: 5q^2+3q
      30: 3q^3+5q^2+3q
      31: 4q^2+3q
      32: 4q^2+3q
      33: q^3+4q^2+3q
      34: 4q^2+3q
      35: 4q^2+3q
      36: 4q^2+3q
      37: q^3+4q^2+3q
      38: 4q^2+3q
      39: 3q^2+2q
      40: 5q^2+3q
      41: 5q^2+3q
      42: 4q^2+3q
      43: 4q^2+3q
      44: 3q^2+3q
      45: 4q^2+3q
      46: 4q^2+3q
      47: 3q^2+3q
      48: q^2+q
      49: 2q^2+2q
      50: q^2+q
      51: 2q^2+2q
      52: q^2+q
      53: 2q^2+2q
      54: q^2+q
      55: 2q^2+2q
      56: 5q^2+3q
      57: 5q^2+3q
      58: 2q^3+5q^2+3q
      59: q^3+3q^2+2q
      60: 4q^2+3q
      61: q^3+4q^2+3q
      62: 3q^2+2q
      63: 3q^2+2q
      64: 4q^2+3q
      65: 3q^2+2q
      66: q^3+4q^2+3q
      67: 3q^2+2q
      68: 4q^2+3q
      69: 4q^2+3q
      70: q^3+4q^2+3q
      71: 4q^2+3q
      72: 4q^2+3q
      73: 4q^2+3q
      74: q^3+4q^2+3q
      75: 4q^2+3q
      76: q^2+q
      77: 2q^2+2q
      78: q^2+q
      79: 2q^2+2q
      80: q^2+q
      81: q^2+2q
      82: 3q^2+2q
      83: 2q^2+2q
      84: 5q^2+3q
      85: 3q^2+2q
      86: 3q^2+3q
      87: 3q^2+3q
      88: q^2+q
      89: 2q^2+2q
      90: q^2+q
      91: 2q^2+2q
      92: q^2+q
      93: 2q^2+2q
      94: q^2+q
      95: 2q^2+2q
      96: 4q^2+3q
      97: 3q^2+3q
      98: 4q^2+3q
      99: 4q^2+3q
     100: 4q^2+3q
     101: 3q^2+3q
     102: 4q^2+3q
     103: 4q^2+3q
     104: 4q^2+3q
     105: q^3+4q^2+3q
     106: 3q^2+2q
     107: 3q^2+2q
     108: 4q^2+3q
     109: 3q^2+2q
     110: q^3+4q^2+3q
     111: 3q^2+2q
     112: 2q^2+3q
     113: 2q^2+2q
     114: 2q^2+3q
     115: 2q^2+2q
     116: 2q^2+3q
     117: 2q^2+2q
     118: 2q^2+3q
     119: 2q^2+2q
     120: q^2+3q
     121: q^2+3q
     122: 3q^2+3q
     123: q^2+3q
     124: q^2+q
     125: q^2+2q
     126: q^2+q
     127: 2q^2+2q
     128: q^2+q
     129: 2q^2+2q
     130: q^2+q
     131: 2q^2+2q
     132: q^2+q
     133: q^2+2q
     134: 3q^2+2q
     135: 2q^2+2q
     137: 2q
     139: q^2+q
     141: 2q
     143: q^2+q
     144: 3q^2+2q
     145: 2q^2+2q
     146: 3q^2+3q
     147: 3q^2+3q
     148: 3q^2+3q
     149: q^2+2q
     150: 2q^2+2q
     151: 2q
     152: 4q^2+3q
     153: 2q^2+3q
     154: 3q^2+3q
     155: q^2+2q
     156: 2q^2+2q
     157: 4q^2+3q
     158: 2q^2+3q
     159: 2q
     160: q^2+3q
     161: q^2+3q
     162: q
     163: q^2+2q
     164: q
     165: q^2+2q
     166: q^2+q
     167: 2q^2+2q
     168: q
     169: q^2+2q
     170: 4q^2+3q
     171: 3q^2+2q
     172: q^3+4q^2+3q
     173: 3q^2+2q
     174: 2q^2+3q
     175: 2q^2+2q
     176: 2q^2+3q
     177: 2q^2+2q
     178: 2q^2+3q
     179: 2q^2+2q
     180: 2q^2+3q
     181: 2q^2+2q
     182: 3q
     183: 2q
     184: q^2+3q
     185: 2q
     187: q
     189: q^2+q
     191: 2q
     192: q^2+q
     193: q^2+2q
     194: q^2+q
     195: 2q^2+2q
     196: q
     197: q
     198: q
     199: q
     200: q^2+q
     201: q^2+2q
     202: q
     203: q^2+2q
     204: q
     205: q^2+2q
     207: 2q
     209: q^2+q
     211: 2q
     213: q^2+q
     214: 2q^2+2q
     215: 3q^2+2q
     216: 2q^2+2q
     217: 3q^2+3q
     218: q^2+2q
     219: 3q^2+3q
     220: q^2+2q
     221: q^2+2q
     222: 2q^2+2q
     223: q^2+2q
     224: 2q
     225: 2q^2+3q
     226: q^2+2q
     227: 2q^2+2q
     228: q^2+2q
     229: 2q^2+3q
     230: 2q
     231: 2q
     233: 2q
     235: q
     237: 2q
     239: q
     240: 2q
     241: 2q
     242: 2q
     243: q^2+3q
     244: 3q
     245: 2q
     246: q^2+3q
     247: 2q
     248: 2q^2+3q
     249: 2q^2+2q
     250: 2q^2+3q
     251: 2q^2+2q
     252: 2q^2+3q
     253: 2q^2+2q
     254: 2q^2+3q
     255: 2q^2+2q
     256: 3q
     257: 2q
     258: q^2+3q
     259: 2q
     261: q^2+q
     263: q
     265: q
     267: 2q
     269: q
     270: q^2+q
     271: q^2+2q
     273: q
     274: q
     275: q
     277: q
     278: q
     279: q
     281: q
     283: q
     284: q
     286: q
     287: q^2+2q
     289: 2q
     291: q^2+q
     293: 2q
     295: q^2+q
     296: 2q^2+2q
     297: q^2+2q
     298: q^2+2q
     299: 2q
     300: 2q
     302: 2q
     304: q
     306: 2q
     308: q
     309: q^2+2q
     310: 2q^2+2q
     311: q^2+2q
     312: 2q
     313: q
     314: 2q^2+3q
     315: q^2+2q
     316: 2q
     317: q^2+2q
     318: 2q^2+2q
     319: q^2+2q
     320: 2q^2+3q
     321: q^2+2q
     322: 2q
     323: q
     324: 2q
     326: 2q
     328: q
     330: 2q
     332: q
     333: 2q
     334: 2q
     335: 2q
     336: 2q
     337: 2q
     338: 3q
     339: 2q
     340: q^2+3q
     341: 2q
     342: 3q
     343: 2q
     344: q^2+3q
     345: 2q
     347: q^2+q
     349: q
     351: q
     353: 2q
     355: q
     357: q
     359: q
     361: q
     365: q
     366: q
     367: q
     369: q
     373: q
     374: q
     375: q
     377: q
     379: q
     381: q
     383: q
     384: q
     388: q
     390: q^2+2q
     391: q^2+2q
     392: 2q
     393: 2q
     395: 2q
     397: q
     399: 2q
     401: q
     402: 2q
     403: q^2+2q
     404: q
     405: q^2+2q
     406: q
     407: 2q
     408: q^2+2q
     409: q^2+2q
     410: q
     411: q
     412: 2q
     414: 2q
     416: q
     418: 2q
     420: q
     421: 2q
     422: 2q
     423: 2q
     424: 2q
     425: q
     426: 2q
     427: q
     428: 1
     429: 1
     430: q+1
     432: 3q
     433: 2q
     434: q^2+3q
     435: 2q
     443: q
     445: q
     447: q
     449: q
     451: q
     453: q
     459: q
     463: q
     469: q
     473: q
     475: q
     477: q
     479: q
     484: q
     486: q
     490: 1
     492: 1
     494: q+1
     497: 1
     498: 2q
     500: 2q
     502: q
     504: 2q
     506: q
     507: 2q
     508: 2q
     509: 1
     510: q
     511: q^2+2q
     512: q
     513: 2q
     514: q
     515: 1
     516: q^2+2q
     517: q
     518: q
     519: 2q
     520: q
     521: 2q
     522: q
     523: q
     525: 1
     526: 1
     527: q+1
     538: q
     540: 1
     542: q
     544: q
     546: q
     550: 1
     560: q
     562: 1
     572: q
     574: q
     575: 1
     585: q
     588: 1
     590: 1
     592: q+1
     597: 1
     598: 2q
     599: 1
     600: 1
     601: q
     602: q
     603: 1
     604: 1
     605: q
     606: q
     607: q
     608: q
     611: 1
     612: 1
     613: q+1
     616: 1
     632: 1
     634: q
     639: 1
     642: 1
     646: 1
     652: 1
     656: 1
     661: 1
     674: 1
     676: 1
     678: q+1
     682: 1
     684: 1
     686: 1
     687: q
     688: 1
     690: 1
     691: q
     696: 1
     702: 1
     710: 1
     717: 1
     720: 1
     724: 1
     728: 1
     732: 1
     735: 1
     753: 1
     755: 1
     760: 1
     766: 1
     781: 1
     788: 1
     792: 1
     811: 1

812:   0: q^4+2q^2+q
       1: q^4+2q^2+q
       2: q^3+2q^2+q
       3: q^4+2q^2+q
       4: q^3+2q^2+q
       5: q^5+q^4+q^2+q
       6: q^4+2q^2+q
       7: q^3+2q^2+q
       8: q^4+2q^3+2q^2+q
       9: q^5+q^4+q^2+q
      10: q^2+q
      11: q^5+q^4+q^2+q
      12: q^4+2q^3+2q^2+q
      13: q^4+q
      14: q^4+q
      15: q^4+q^2+q
      16: q^4+q^2+q
      17: q^2+q
      18: q^4+q
      19: q^4+2q^2+q
      20: q^4+2q^2+q
      21: q^3+2q^2+q
      22: q^4+q
      23: 2q^2+q
      24: q^3+2q^2+q
      25: q^4+q^2+q
      26: q^4+q
      27: q^4+2q^2+q
      28: q^4+2q^2+q
      29: q^5+q^4+q^2+q
      30: q^4+2q^3+2q^2+q
      31: 2q^2+q
      32: 2q^2+q
      33: q^3+2q^2+q
      34: q^2+q
      35: 2q^2+q
      36: 2q^2+q
      37: q^3+2q^2+q
      38: q^2+q
      39: q^4+q
      40: q^4+q^2+q
      41: q^4+2q^2+q
      42: q^2+q
      43: 2q^2+q
      44: 2q^2+q
      45: q^2+q
      46: 2q^2+q
      47: 2q^2+q
      48: 2q^2+q
      50: 2q^2+q
      52: q^3+2q^2+q
      54: q^2+q
      56: q^4+q^2+q
      57: q^4+q^2+q
      58: q^2+q
      59: q^4+q
      60: 2q^2+q
      61: q^3+2q^2+q
      62: q^4+q^2+q
      63: q^4+q
      64: 2q^2+q
      65: q^4+q^2+q
      66: q^3+2q^2+q
      67: q^4+q
      68: 2q^2+q
      69: 2q^2+q
      70: q^3+2q^2+q
      71: q^2+q
      72: 2q^2+q
      73: 2q^2+q
      74: q^3+2q^2+q
      75: q^2+q
      76: q^2+q
      78: 2q^2+q
      80: 2q^2+q
      82: q^4+q
      83: q^2+q
      84: q^4+q^2+q
      85: q^4+q
      86: 2q^2+q
      87: 2q^2+q
      88: 2q^2+q
      90: 2q^2+q
      92: q^3+2q^2+q
      94: q^2+q
      96: q^2+q
      97: 2q^2+q
      98: q^2+q
      99: 2q^2+q
     100: q^2+q
     101: 2q^2+q
     102: q^2+q
     103: 2q^2+q
     104: q^2+q
     105: q^2+q
     106: q
     107: q
     108: 2q^2+q
     109: q^4+q^2+q
     110: q^3+2q^2+q
     111: q^4+q
     112: 2q^2+q
     113: q^2+q
     114: 2q^2+q
     115: q
     116: 2q^2+q
     117: q^2+q
     118: 2q^2+q
     119: q
     120: q^2+q
     121: q^2+q
     122: q^3+2q^2+q
     123: q^2+q
     124: 2q^2+q
     126: q^2+q
     128: 2q^2+q
     130: q^2+q
     132: 2q^2+q
     134: q
     135: q
     136: 2q^2+q
     138: q^2+q
     140: 2q^2+q
     142: q
     144: q^4+q
     145: q^2+q
     146: 2q^2+q
     147: 2q^2+q
     148: q^2+q
     149: q^2+q
     150: q
     151: q^2+q
     152: q^2+q
     153: 2q^2+q
     154: q^2+q
     155: q^2+q
     156: q
     157: q^2+q
     158: 2q^2+q
     159: q^2+q
     160: q^2+q
     161: q^2+q
     162: q^2+q
     164: q^2+q
     166: q^3+2q^2+q
     168: q^2+q
     170: q^2+q
     171: q
     172: q^2+q
     173: q
     174: 2q^2+q
     175: q^2+q
     176: 2q^2+q
     177: q
     178: 2q^2+q
     179: q^2+q
     180: 2q^2+q
     181: q
     182: q
     183: q
     184: q^2+q
     185: q
     186: q^2+q
     188: q
     190: 2q^2+q
     192: 2q^2+q
     194: q^2+q
     196: q^2+q
     198: q^2+q
     200: q^2+q
     202: q^2+q
     204: q^2+q
     206: 2q^2+q
     208: q^2+q
     210: 2q^2+q
     212: q
     214: q
     215: q
     216: q
     217: q^2+q
     218: q^2+q
     219: q^2+q
     220: q^2+q
     221: q
     222: q
     223: q^2+q
     224: q^2+q
     225: 2q^2+q
     226: q
     227: q
     228: q^2+q
     229: 2q^2+q
     230: q^2+q
     231: q
     232: q
     234: q
     236: q^2+q
     238: q
     240: q
     241: q
     242: q
     243: q^2+q
     244: q
     245: q
     246: q^2+q
     247: q
     248: q^2+q
     249: q
     250: q^2+q
     251: q
     252: q^2+q
     253: q
     254: q^2+q
     255: q
     256: q
     257: q
     258: q^2+q
     259: q
     260: q
     262: q^2+q
     264: q
     266: 2q^2+q
     268: q^2+q
     270: q^2+q
     272: q
     274: q^2+q
     276: q
     278: q^2+q
     280: q
     282: q
     284: q
     286: q^2+q
     288: q^2+q
     290: q
     292: q^2+q
     294: q
     296: q
     297: q
     298: q
     299: q
     300: q
     301: q
     303: q
     305: q^2+q
     307: q
     309: q
     310: q
     311: q
     312: q^2+q
     313: q
     314: q^2+q
     315: q^2+q
     316: q
     317: q
     318: q
     319: q
     320: q^2+q
     321: q^2+q
     322: q^2+q
     323: q
     324: q
     325: q
     327: q
     329: q^2+q
     331: q
     333: q
     334: q
     335: q
     336: q
     337: q
     338: q
     339: q
     340: q^2+q
     341: q
     346: q
     348: q
     350: q
     352: q^2+q
     354: q^2+q
     356: q
     358: q
     360: q
     362: q
     364: q
     366: q^2+q
     368: q
     370: q
     372: q
     374: q^2+q
     376: q
     378: q
     380: q
     382: q
     384: q
     386: 2q
     388: q
     390: q
     391: q
     392: q
     393: q
     394: q
     396: q
     398: q^2+q
     400: q
     402: q
     403: q
     404: q
     405: q
     406: q
     407: q
     408: q
     409: q
     410: q
     411: q
     412: q
     421: q
     425: q
     427: q
     436: q
     438: q
     442: q
     444: q
     446: q
     448: q
     450: q
     452: q
     454: q
     456: q
     460: q
     462: q
     464: q
     466: q
     470: q
     472: q
     478: q
     480: q
     482: 2q
     486: q
     498: q
     510: q
     511: q
     512: q
     514: q
     516: q
     517: q
     518: q
     520: q
     529: q
     531: q
     537: q
     541: q
     547: q
     551: q
     555: q
     557: q
     563: q
     567: q
     569: q
     577: q
     581: q+1
     601: q
     605: q
     623: q+1
     637: q
     647: q
     657: q
     665: 1
     703: 1
     715: 1
     737: 1
     761: 1
     767: 1
     783: 1
     812: 1

813:   0: 5q^2+3q
       1: 5q^2+3q
       2: 2q^3+5q^2+3q
       3: 5q^2+3q
       4: 2q^3+5q^2+3q
       5: 5q^2+3q
       6: 5q^2+3q
       7: 2q^3+5q^2+3q
       8: 3q^3+5q^2+3q
       9: 5q^2+3q
      10: 2q^3+5q^2+3q
      11: q^3+3q^2+2q
      12: 3q^3+5q^2+3q
      13: q^3+3q^2+2q
      14: q^3+3q^2+2q
      15: 5q^2+3q
      16: 5q^2+3q
      17: 2q^3+5q^2+3q
      18: q^3+3q^2+2q
      19: 5q^2+3q
      20: 5q^2+3q
      21: 2q^3+5q^2+3q
      22: q^3+3q^2+2q
      23: 4q^2+3q
      24: q^3+4q^2+3q
      25: 3q^2+2q
      26: 3q^2+2q
      27: 5q^2+3q
      28: 5q^2+3q
      29: 5q^2+3q
      30: 3q^3+5q^2+3q
      31: 4q^2+3q
      32: 4q^2+3q
      33: q^3+4q^2+3q
      34: 4q^2+3q
      35: 4q^2+3q
      36: 4q^2+3q
      37: q^3+4q^2+3q
      38: 4q^2+3q
      39: 3q^2+2q
      40: 5q^2+3q
      41: 5q^2+3q
      42: 4q^2+3q
      43: 4q^2+3q
      44: 3q^2+3q
      45: 4q^2+3q
      46: 4q^2+3q
      47: 3q^2+3q
      48: 2q^2+2q
      49: q^2+q
      50: 2q^2+2q
      51: q^2+q
      52: 2q^2+2q
      53: q^2+q
      54: 2q^2+2q
      55: q^2+q
      56: 5q^2+3q
      57: 5q^2+3q
      58: 2q^3+5q^2+3q
      59: q^3+3q^2+2q
      60: 4q^2+3q
      61: q^3+4q^2+3q
      62: 3q^2+2q
      63: 3q^2+2q
      64: 4q^2+3q
      65: 3q^2+2q
      66: q^3+4q^2+3q
      67: 3q^2+2q
      68: 4q^2+3q
      69: 4q^2+3q
      70: q^3+4q^2+3q
      71: 4q^2+3q
      72: 4q^2+3q
      73: 4q^2+3q
      74: q^3+4q^2+3q
      75: 4q^2+3q
      76: 2q^2+2q
      77: q^2+q
      78: 2q^2+2q
      79: q^2+q
      80: q^2+2q
      81: q^2+q
      82: 3q^2+2q
      83: 2q^2+2q
      84: 5q^2+3q
      85: 3q^2+2q
      86: 3q^2+3q
      87: 3q^2+3q
      88: 2q^2+2q
      89: q^2+q
      90: 2q^2+2q
      91: q^2+q
      92: 2q^2+2q
      93: q^2+q
      94: 2q^2+2q
      95: q^2+q
      96: 4q^2+3q
      97: 3q^2+3q
      98: 4q^2+3q
      99: 4q^2+3q
     100: 4q^2+3q
     101: 3q^2+3q
     102: 4q^2+3q
     103: 4q^2+3q
     104: 4q^2+3q
     105: q^3+4q^2+3q
     106: 3q^2+2q
     107: 3q^2+2q
     108: 4q^2+3q
     109: 3q^2+2q
     110: q^3+4q^2+3q
     111: 3q^2+2q
     112: 2q^2+3q
     113: 2q^2+2q
     114: 2q^2+3q
     115: 2q^2+2q
     116: 2q^2+3q
     117: 2q^2+2q
     118: 2q^2+3q
     119: 2q^2+2q
     120: q^2+3q
     121: q^2+3q
     122: 3q^2+3q
     123: q^2+3q
     124: q^2+2q
     125: q^2+q
     126: 2q^2+2q
     127: q^2+q
     128: 2q^2+2q
     129: q^2+q
     130: 2q^2+2q
     131: q^2+q
     132: q^2+2q
     133: q^2+q
     134: 3q^2+2q
     135: 2q^2+2q
     136: 2q
     138: q^2+q
     140: 2q
     142: q^2+q
     144: 3q^2+2q
     145: 2q^2+2q
     146: 3q^2+3q
     147: 3q^2+3q
     148: 3q^2+3q
     149: q^2+2q
     150: 2q^2+2q
     151: 2q
     152: 4q^2+3q
     153: 2q^2+3q
     154: 3q^2+3q
     155: q^2+2q
     156: 2q^2+2q
     157: 4q^2+3q
     158: 2q^2+3q
     159: 2q
     160: q^2+3q
     161: q^2+3q
     162: q^2+2q
     163: q
     164: q^2+2q
     165: q
     166: 2q^2+2q
     167: q^2+q
     168: q^2+2q
     169: q
     170: 4q^2+3q
     171: 3q^2+2q
     172: q^3+4q^2+3q
     173: 3q^2+2q
     174: 2q^2+3q
     175: 2q^2+2q
     176: 2q^2+3q
     177: 2q^2+2q
     178: 2q^2+3q
     179: 2q^2+2q
     180: 2q^2+3q
     181: 2q^2+2q
     182: 3q
     183: 2q
     184: q^2+3q
     185: 2q
     186: q
     188: q^2+q
     190: 2q
     192: q^2+2q
     193: q^2+q
     194: 2q^2+2q
     195: q^2+q
     196: q
     197: q
     198: q
     199: q
     200: q^2+2q
     201: q^2+q
     202: q^2+2q
     203: q
     204: q^2+2q
     205: q
     206: 2q
     208: q^2+q
     210: 2q
     212: q^2+q
     214: 2q^2+2q
     215: 3q^2+2q
     216: 2q^2+2q
     217: 3q^2+3q
     218: q^2+2q
     219: 3q^2+3q
     220: q^2+2q
     221: q^2+2q
     222: 2q^2+2q
     223: q^2+2q
     224: 2q
     225: 2q^2+3q
     226: q^2+2q
     227: 2q^2+2q
     228: q^2+2q
     229: 2q^2+3q
     230: 2q
     231: 2q
     232: 2q
     234: q
     236: 2q
     238: q
     240: 2q
     241: 2q
     242: 2q
     243: q^2+3q
     244: 3q
     245: 2q
     246: q^2+3q
     247: 2q
     248: 2q^2+3q
     249: 2q^2+2q
     250: 2q^2+3q
     251: 2q^2+2q
     252: 2q^2+3q
     253: 2q^2+2q
     254: 2q^2+3q
     255: 2q^2+2q
     256: 3q
     257: 2q
     258: q^2+3q
     259: 2q
     260: q^2+q
     262: q
     264: q
     266: 2q
     268: q
     270: q^2+2q
     271: q^2+q
     272: q
     274: q
     275: q
     276: q
     278: q
     279: q
     280: q
     282: q
     285: q
     286: q^2+2q
     287: q
     288: 2q
     290: q^2+q
     292: 2q
     294: q^2+q
     296: 2q^2+2q
     297: q^2+2q
     298: q^2+2q
     299: 2q
     300: 2q
     301: 2q
     303: q
     305: 2q
     307: q
     309: q^2+2q
     310: 2q^2+2q
     311: q^2+2q
     312: 2q
     313: q
     314: 2q^2+3q
     315: q^2+2q
     316: 2q
     317: q^2+2q
     318: 2q^2+2q
     319: q^2+2q
     320: 2q^2+3q
     321: q^2+2q
     322: 2q
     323: q
     324: 2q
     325: 2q
     327: q
     329: 2q
     331: q
     333: 2q
     334: 2q
     335: 2q
     336: 2q
     337: 2q
     338: 3q
     339: 2q
     340: q^2+3q
     341: 2q
     342: 3q
     343: 2q
     344: q^2+3q
     345: 2q
     346: q^2+q
     348: q
     350: q
     352: 2q
     354: q
     356: q
     358: q
     360: q
     364: q
     366: q
     367: q
     368: q
     372: q
     374: q
     375: q
     376: q
     378: q
     380: q
     382: q
     385: q
     389: q
     390: q^2+2q
     391: q^2+2q
     392: 2q
     393: 2q
     394: 2q
     396: q
     398: 2q
     400: q
     402: 2q
     403: q^2+2q
     404: q
     405: q^2+2q
     406: q
     407: 2q
     408: q^2+2q
     409: q^2+2q
     410: q
     411: q
     412: 2q
     413: 2q
     415: q
     417: 2q
     419: q
     421: 2q
     422: 2q
     423: 2q
     424: 2q
     425: q
     426: 2q
     427: q
     428: 1
     429: 1
     430: q+1
     432: 3q
     433: 2q
     434: q^2+3q
     435: 2q
     442: q
     444: q
     446: q
     448: q
     450: q
     452: q
     458: q
     462: q
     468: q
     472: q
     474: q
     476: q
     478: q
     485: q
     487: q
     489: 1
     491: 1
     493: q+1
     497: 1
     498: 2q
     499: 2q
     501: q
     503: 2q
     505: q
     507: 2q
     508: 2q
     509: 1
     510: q
     511: q^2+2q
     512: q
     513: 2q
     514: q
     515: 1
     516: q^2+2q
     517: q
     518: q
     519: 2q
     520: q
     521: 2q
     522: q
     523: q
     525: 1
     526: 1
     527: q+1
     537: q
     539: 1
     541: q
     543: q
     545: q
     549: 1
     559: q
     561: 1
     571: q
     573: q
     576: 1
     586: q
     587: 1
     589: 1
     591: q+1
     597: 1
     598: 2q
     599: 1
     600: 1
     601: q
     602: q
     603: 1
     604: 1
     605: q
     606: q
     607: q
     608: q
     611: 1
     612: 1
     613: q+1
     618: 1
     631: 1
     633: q
     640: 1
     641: 1
     645: 1
     651: 1
     655: 1
     662: 1
     673: 1
     675: 1
     677: q+1
     682: 1
     684: 1
     686: 1
     687: q
     688: 1
     690: 1
     691: q
     698: 1
     704: 1
     709: 1
     718: 1
     719: 1
     723: 1
     727: 1
     731: 1
     736: 1
     753: 1
     755: 1
     762: 1
     768: 1
     782: 1
     787: 1
     791: 1
     813: 1

814:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^3+2q^2+2q+1
       3: q^2+2q+1
       4: q^3+2q^2+2q+1
       5: q^2+2q+1
       6: q^2+2q+1
       7: q^3+2q^2+2q+1
       8: q^4+2q^3+3q^2+2q+1
       9: q^2+2q+1
      10: q^3+2q^2+2q+1
      11: q+1
      12: q^4+2q^3+3q^2+2q+1
      13: q+1
      14: q+1
      15: q^2+2q+1
      16: q^2+2q+1
      17: q^3+2q^2+2q+1
      18: q+1
      19: q^2+2q+1
      20: q^2+2q+1
      21: q^3+2q^2+2q+1
      22: q+1
      23: q^2+2q+1
      24: q^3+2q^2+2q+1
      25: q+1
      26: q+1
      27: q^2+2q+1
      28: q^2+2q+1
      29: q^2+2q+1
      30: q^4+2q^3+3q^2+2q+1
      31: q^2+2q+1
      32: q^2+2q+1
      33: q^3+2q^2+2q+1
      34: q^2+2q+1
      35: q^2+2q+1
      36: q^2+2q+1
      37: q^3+2q^2+2q+1
      38: q^2+2q+1
      39: q+1
      40: q^2+2q+1
      41: q^2+2q+1
      42: q^2+2q+1
      43: q^2+2q+1
      44: q^2+2q+1
      45: q^2+2q+1
      46: q^2+2q+1
      47: q^2+2q+1
      49: q^2+2q+1
      51: q^2+2q+1
      53: q^3+2q^2+2q+1
      55: q^2+2q+1
      56: q^2+2q+1
      57: q^2+2q+1
      58: q^3+2q^2+2q+1
      59: q+1
      60: q^2+2q+1
      61: q^3+2q^2+2q+1
      62: q+1
      63: q+1
      64: q^2+2q+1
      65: q+1
      66: q^3+2q^2+2q+1
      67: q+1
      68: q^2+2q+1
      69: q^2+2q+1
      70: q^3+2q^2+2q+1
      71: q^2+2q+1
      72: q^2+2q+1
      73: q^2+2q+1
      74: q^3+2q^2+2q+1
      75: q^2+2q+1
      77: q^2+2q+1
      79: q^2+2q+1
      81: q^2+2q+1
      82: q+1
      83: q+1
      84: q^2+2q+1
      85: q+1
      86: q^2+2q+1
      87: q^2+2q+1
      89: q^2+2q+1
      91: q^2+2q+1
      93: q^3+2q^2+2q+1
      95: q^2+2q+1
      96: q^2+2q+1
      97: q^2+2q+1
      98: q^2+2q+1
      99: q^2+2q+1
     100: q^2+2q+1
     101: q^2+2q+1
     102: q^2+2q+1
     103: q^2+2q+1
     104: q^2+2q+1
     105: q^3+2q^2+2q+1
     106: q+1
     107: q+1
     108: q^2+2q+1
     109: q+1
     110: q^3+2q^2+2q+1
     111: q+1
     112: q^2+2q+1
     113: q+1
     114: q^2+2q+1
     115: q+1
     116: q^2+2q+1
     117: q+1
     118: q^2+2q+1
     119: q+1
     120: q+1
     121: q+1
     122: q^3+2q^2+2q+1
     123: q+1
     125: q^2+2q+1
     127: q^2+2q+1
     129: q^2+2q+1
     131: q^2+2q+1
     133: q^2+2q+1
     134: q+1
     135: q+1
     137: q^2+2q+1
     139: q+1
     141: q^2+2q+1
     143: q+1
     144: q+1
     145: q+1
     146: q^2+2q+1
     147: q^2+2q+1
     148: q^2+2q+1
     149: q+1
     150: q+1
     151: q+1
     152: q^2+2q+1
     153: q^2+2q+1
     154: q^2+2q+1
     155: q+1
     156: q+1
     157: q^2+2q+1
     158: q^2+2q+1
     159: q+1
     160: q+1
     161: q+1
     163: q+1
     165: q+1
     167: q^3+2q^2+2q+1
     169: q+1
     170: q^2+2q+1
     171: q+1
     172: q^3+2q^2+2q+1
     173: q+1
     174: q^2+2q+1
     175: q+1
     176: q^2+2q+1
     177: q+1
     178: q^2+2q+1
     179: q+1
     180: q^2+2q+1
     181: q+1
     182: q+1
     183: 1
     184: q^2+2q+1
     185: 1
     187: q+1
     189: q+1
     191: q^2+2q+1
     193: q^2+2q+1
     195: q^2+2q+1
     197: q+1
     199: q+1
     201: q^2+2q+1
     203: q+1
     205: q+1
     207: q^2+2q+1
     209: q+1
     211: q^2+2q+1
     213: q+1
     214: q+1
     215: q+1
     216: q+1
     217: q^2+2q+1
     218: q+1
     219: q^2+2q+1
     220: q+1
     221: q+1
     222: q+1
     223: q+1
     224: q+1
     225: q^2+2q+1
     226: q+1
     227: q+1
     228: q+1
     229: q^2+2q+1
     230: q+1
     231: 1
     233: q+1
     235: 1
     237: q^2+2q+1
     239: 1
     240: 1
     241: q+1
     242: q+1
     243: q+1
     244: q+1
     245: 1
     246: q^2+2q+1
     247: 1
     248: q^2+2q+1
     249: q+1
     250: q^2+2q+1
     251: q+1
     252: q^2+2q+1
     253: q+1
     254: q^2+2q+1
     255: q+1
     256: q+1
     257: 1
     258: q^2+2q+1
     259: 1
     261: q+1
     263: q+1
     265: q+1
     267: q^2+2q+1
     269: q+1
     271: q^2+2q+1
     273: q+1
     275: q+1
     277: q+1
     279: q+1
     281: 1
     283: 1
     285: q+1
     287: q+1
     289: q^2+2q+1
     291: q+1
     293: q^2+2q+1
     295: q+1
     296: q+1
     297: q+1
     298: q+1
     299: 1
     300: 1
     302: q+1
     304: 1
     306: q^2+2q+1
     308: 1
     309: q+1
     310: q+1
     311: q+1
     312: q+1
     313: 1
     314: q^2+2q+1
     315: q+1
     316: q+1
     317: q+1
     318: q+1
     319: q+1
     320: q^2+2q+1
     321: q+1
     322: q+1
     323: 1
     324: q+1
     326: q+1
     328: 1
     330: q^2+2q+1
     332: 1
     333: 1
     334: 1
     335: 1
     336: q+1
     337: q+1
     338: q+1
     339: 1
     340: q^2+2q+1
     341: 1
     342: q+1
     343: 1
     344: q^2+2q+1
     345: 1
     347: q+1
     349: q+1
     351: q+1
     353: q^2+2q+1
     355: q+1
     357: q+1
     359: 1
     361: 1
     363: 1
     365: q+1
     367: q+1
     369: q+1
     371: 1
     373: q+1
     375: q+1
     377: q+1
     379: 1
     381: 1
     383: 1
     385: q+1
     387: q+1
     389: q+1
     390: q+1
     391: q+1
     392: 1
     393: 1
     395: q+1
     397: 1
     399: q^2+2q+1
     401: 1
     402: 1
     403: q+1
     404: 1
     405: q+1
     406: 1
     407: q+1
     408: q+1
     409: q+1
     410: 1
     411: 1
     412: q+1
     414: q+1
     416: 1
     418: q^2+2q+1
     420: 1
     421: 1
     422: 1
     423: 1
     424: q+1
     425: 1
     426: q+1
     427: 1
     428: 1
     429: 1
     430: q+1
     432: q+1
     433: 1
     434: q^2+2q+1
     435: 1
     440: q+1
     443: q+1
     445: q+1
     447: q+1
     449: 1
     451: 1
     453: 1
     455: 1
     457: 1
     459: q+1
     461: 1
     463: q+1
     465: 1
     467: 1
     469: q+1
     471: 1
     473: q+1
     475: 1
     477: 1
     479: 1
     481: 1
     483: q+1
     485: q+1
     487: q+1
     490: 1
     492: 1
     494: q+1
     497: 1
     498: 1
     500: q+1
     502: 1
     504: q^2+2q+1
     506: 1
     507: 1
     508: 1
     509: 1
     510: 1
     511: q+1
     512: 1
     513: q+1
     514: 1
     515: 1
     516: q+1
     517: 1
     518: 1
     519: q+1
     520: 1
     521: 1
     522: 1
     523: 1
     525: 1
     526: 1
     527: q+1
     533: q+1
     538: q+1
     540: 1
     542: 1
     544: 1
     546: 1
     548: 1
     550: 1
     552: 1
     554: 1
     556: 1
     558: 1
     560: q+1
     562: 1
     564: 1
     566: 1
     568: 1
     570: 1
     572: q+1
     574: 1
     576: 1
     578: 1
     580: 1
     582: q+1
     586: q+1
     588: 1
     590: 1
     592: q+1
     597: 1
     598: 1
     599: 1
     600: 1
     601: 1
     602: 1
     603: 1
     604: 1
     605: 1
     606: 1
     607: 1
     608: 1
     611: 1
     612: 1
     613: q+1
     619: 1
     625: q+1
     632: 1
     634: 1
     636: 1
     638: 1
     640: 1
     642: 1
     644: 1
     646: 1
     648: 1
     650: 1
     652: 1
     654: 1
     656: 1
     658: 1
     660: 1
     662: 1
     664: 1
     666: 1
     674: 1
     676: 1
     678: q+1
     682: 1
     684: 1
     686: 1
     687: 1
     688: 1
     690: 1
     691: 1
     699: 1
     705: 1
     710: 1
     714: 1
     716: 1
     718: 1
     720: 1
     724: 1
     726: 1
     728: 1
     732: 1
     734: 1
     736: 1
     738: 1
     753: 1
     755: 1
     763: 1
     769: 1
     782: 1
     784: 1
     788: 1
     792: 1
     814: 1

815:   0: q^4+2q^2+q
       1: q^4+2q^2+q
       2: q^3+2q^2+q
       3: q^4+2q^2+q
       4: q^3+2q^2+q
       5: q^5+q^4+q^2+q
       6: q^4+2q^2+q
       7: q^3+2q^2+q
       8: q^4+2q^3+2q^2+q
       9: q^5+q^4+q^2+q
      10: q^2+q
      11: q^5+q^4+q^2+q
      12: q^4+2q^3+2q^2+q
      13: q^4+q
      14: q^4+q
      15: q^4+q^2+q
      16: q^4+q^2+q
      17: q^2+q
      18: q^4+q
      19: q^4+2q^2+q
      20: q^4+2q^2+q
      21: q^3+2q^2+q
      22: q^4+q
      23: 2q^2+q
      24: q^3+2q^2+q
      25: q^4+q^2+q
      26: q^4+q
      27: q^4+2q^2+q
      28: q^4+2q^2+q
      29: q^5+q^4+q^2+q
      30: q^4+2q^3+2q^2+q
      31: 2q^2+q
      32: 2q^2+q
      33: q^3+2q^2+q
      34: q^2+q
      35: 2q^2+q
      36: 2q^2+q
      37: q^3+2q^2+q
      38: q^2+q
      39: q^4+q
      40: q^4+q^2+q
      41: q^4+2q^2+q
      42: q^2+q
      43: 2q^2+q
      44: 2q^2+q
      45: q^2+q
      46: 2q^2+q
      47: 2q^2+q
      49: 2q^2+q
      51: 2q^2+q
      53: q^3+2q^2+q
      55: q^2+q
      56: q^4+q^2+q
      57: q^4+q^2+q
      58: q^2+q
      59: q^4+q
      60: 2q^2+q
      61: q^3+2q^2+q
      62: q^4+q^2+q
      63: q^4+q
      64: 2q^2+q
      65: q^4+q^2+q
      66: q^3+2q^2+q
      67: q^4+q
      68: 2q^2+q
      69: 2q^2+q
      70: q^3+2q^2+q
      71: q^2+q
      72: 2q^2+q
      73: 2q^2+q
      74: q^3+2q^2+q
      75: q^2+q
      77: q^2+q
      79: 2q^2+q
      81: 2q^2+q
      82: q^4+q
      83: q^2+q
      84: q^4+q^2+q
      85: q^4+q
      86: 2q^2+q
      87: 2q^2+q
      89: 2q^2+q
      91: 2q^2+q
      93: q^3+2q^2+q
      95: q^2+q
      96: q^2+q
      97: 2q^2+q
      98: q^2+q
      99: 2q^2+q
     100: q^2+q
     101: 2q^2+q
     102: q^2+q
     103: 2q^2+q
     104: q^2+q
     105: q^2+q
     106: q
     107: q
     108: 2q^2+q
     109: q^4+q^2+q
     110: q^3+2q^2+q
     111: q^4+q
     112: 2q^2+q
     113: q^2+q
     114: 2q^2+q
     115: q
     116: 2q^2+q
     117: q^2+q
     118: 2q^2+q
     119: q
     120: q^2+q
     121: q^2+q
     122: q^3+2q^2+q
     123: q^2+q
     125: 2q^2+q
     127: q^2+q
     129: 2q^2+q
     131: q^2+q
     133: 2q^2+q
     134: q
     135: q
     137: 2q^2+q
     139: q^2+q
     141: 2q^2+q
     143: q
     144: q^4+q
     145: q^2+q
     146: 2q^2+q
     147: 2q^2+q
     148: q^2+q
     149: q^2+q
     150: q
     151: q^2+q
     152: q^2+q
     153: 2q^2+q
     154: q^2+q
     155: q^2+q
     156: q
     157: q^2+q
     158: 2q^2+q
     159: q^2+q
     160: q^2+q
     161: q^2+q
     163: q^2+q
     165: q^2+q
     167: q^3+2q^2+q
     169: q^2+q
     170: q^2+q
     171: q
     172: q^2+q
     173: q
     174: 2q^2+q
     175: q^2+q
     176: 2q^2+q
     177: q
     178: 2q^2+q
     179: q^2+q
     180: 2q^2+q
     181: q
     182: q
     183: q
     184: q^2+q
     185: q
     187: q^2+q
     189: q
     191: 2q^2+q
     193: 2q^2+q
     195: q^2+q
     197: q^2+q
     199: q^2+q
     201: q^2+q
     203: q^2+q
     205: q^2+q
     207: 2q^2+q
     209: q^2+q
     211: 2q^2+q
     213: q
     214: q
     215: q
     216: q
     217: q^2+q
     218: q^2+q
     219: q^2+q
     220: q^2+q
     221: q
     222: q
     223: q^2+q
     224: q^2+q
     225: 2q^2+q
     226: q
     227: q
     228: q^2+q
     229: 2q^2+q
     230: q^2+q
     231: q
     233: q
     235: q
     237: q^2+q
     239: q
     240: q
     241: q
     242: q
     243: q^2+q
     244: q
     245: q
     246: q^2+q
     247: q
     248: q^2+q
     249: q
     250: q^2+q
     251: q
     252: q^2+q
     253: q
     254: q^2+q
     255: q
     256: q
     257: q
     258: q^2+q
     259: q
     261: q
     263: q^2+q
     265: q
     267: 2q^2+q
     269: q^2+q
     271: q^2+q
     273: q
     275: q^2+q
     277: q
     279: q^2+q
     281: q
     283: q
     285: q
     287: q^2+q
     289: q^2+q
     291: q
     293: q^2+q
     295: q
     296: q
     297: q
     298: q
     299: q
     300: q
     302: q
     304: q
     306: q^2+q
     308: q
     309: q
     310: q
     311: q
     312: q^2+q
     313: q
     314: q^2+q
     315: q^2+q
     316: q
     317: q
     318: q
     319: q
     320: q^2+q
     321: q^2+q
     322: q^2+q
     323: q
     324: q
     326: q
     328: q
     330: q^2+q
     332: q
     333: q
     334: q
     335: q
     336: q
     337: q
     338: q
     339: q
     340: q^2+q
     341: q
     347: q
     349: q
     351: q
     353: q^2+q
     355: q^2+q
     357: q
     359: q
     361: q
     363: q
     365: q
     367: q^2+q
     369: q
     371: q
     373: q
     375: q^2+q
     377: q
     379: q
     381: q
     383: q
     385: q
     387: 2q
     389: q
     390: q
     391: q
     392: q
     393: q
     395: q
     397: q
     399: q^2+q
     401: q
     402: q
     403: q
     404: q
     405: q
     406: q
     407: q
     408: q
     409: q
     410: q
     411: q
     412: q
     421: q
     425: q
     427: q
     440: q
     441: q
     443: q
     445: q
     447: q
     449: q
     451: q
     453: q
     455: q
     457: q
     461: q
     463: q
     465: q
     467: q
     471: q
     473: q
     479: q
     481: q
     483: 2q
     487: q
     498: q
     510: q
     511: q
     512: q
     514: q
     516: q
     517: q
     518: q
     520: q
     533: q
     534: q
     538: q
     542: q
     548: q
     552: q
     556: q
     558: q
     564: q
     568: q
     570: q
     578: q
     582: q+1
     601: q
     605: q
     626: q+1
     638: q
     648: q
     658: q
     666: 1
     706: 1
     716: 1
     738: 1
     764: 1
     770: 1
     784: 1
     815: 1

816:   0: q+1
       1: 1
       2: q+1
       3: q+1
       4: q+1
       5: 1
       6: 1
       7: 1
       8: q+1
       9: 1
      10: 1
      11: 1
      12: q+1
      13: 1
      15: 1
      16: 1
      17: 1
      18: 1
      19: 1
      20: 1
      21: 1
      23: q+1
      24: q+1
      25: 1
      26: 1
      27: q+1
      28: 1
      29: 1
      30: q+1
      31: q+1
      32: 1
      33: q+1
      34: 1
      35: q+1
      36: 1
      37: q+1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: q+1
      45: 1
      46: 1
      47: q+1
      48: q+1
      50: 1
      52: q+1
      54: 1
      56: 1
      57: 1
      58: 1
      60: 1
      61: 1
      62: 1
      64: q+1
      65: 1
      66: q+1
      67: 1
      68: q+1
      69: 1
      70: q+1
      71: 1
      72: q+1
      73: 1
      74: q+1
      75: 1
      76: 1
      78: 1
      80: q+1
      83: 1
      84: 1
      85: 1
      86: q+1
      87: q+1
      88: q+1
      90: 1
      92: q+1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: 1
     112: q+1
     113: 1
     114: q+1
     115: 1
     116: q+1
     117: 1
     118: q+1
     119: 1
     120: q+1
     121: 1
     122: q+1
     123: 1
     124: q+1
     126: 1
     128: 1
     130: 1
     132: 1
     135: 1
     136: q+1
     138: 1
     140: q+1
     142: 1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     151: q+1
     152: 1
     153: q+1
     154: 1
     155: 1
     156: 1
     157: 1
     158: q+1
     159: q+1
     160: 1
     161: 1
     162: q+1
     164: 1
     166: q+1
     168: 1
     170: 1
     171: 1
     172: 1
     174: 1
     175: 1
     176: 1
     178: 1
     179: 1
     180: 1
     182: q+1
     183: 1
     184: q+1
     185: 1
     186: 1
     188: 1
     190: q+1
     192: 1
     194: 1
     196: q+1
     198: q+1
     200: 1
     202: 1
     204: 1
     206: 1
     208: 1
     210: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     223: 1
     224: 1
     225: 1
     226: 1
     228: 1
     229: 1
     230: 1
     231: 1
     232: q+1
     234: 1
     236: q+1
     238: 1
     240: 1
     241: q+1
     242: q+1
     243: 1
     244: q+1
     245: 1
     246: q+1
     247: 1
     248: 1
     249: 1
     250: 1
     252: 1
     253: 1
     254: 1
     256: 1
     257: 1
     258: 1
     262: 1
     264: 1
     266: 1
     268: 1
     270: 1
     272: q+1
     274: 1
     276: q+1
     278: 1
     280: 1
     282: 1
     284: q+1
     286: 1
     288: 1
     290: 1
     292: 1
     297: 1
     298: 1
     299: 1
     300: 1
     301: q+1
     303: 1
     305: q+1
     307: 1
     311: 1
     312: 1
     313: 1
     314: 1
     315: 1
     316: q+1
     319: 1
     320: 1
     321: 1
     322: 1
     323: 1
     324: q+1
     325: 1
     327: 1
     329: 1
     333: 1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: 1
     342: 1
     343: 1
     344: 1
     348: 1
     352: 1
     354: 1
     356: 1
     358: 1
     360: 1
     362: 1
     364: 1
     366: 1
     368: q+1
     370: 1
     372: 1
     374: 1
     376: q+1
     380: 1
     382: 1
     384: 1
     386: q+1
     388: q+1
     392: 1
     394: 1
     396: 1
     398: 1
     402: 1
     404: 1
     405: 1
     406: 1
     407: 1
     409: 1
     410: 1
     411: 1
     412: 1
     413: 1
     415: 1
     417: 1
     423: 1
     424: 1
     425: 1
     426: 1
     427: 1
     428: 1
     429: 1
     430: 1
     432: 1
     433: 1
     434: 1
     436: q+1
     446: 1
     448: 1
     450: 1
     454: 1
     456: 1
     458: 1
     460: 1
     462: 1
     464: 1
     466: 1
     468: 1
     470: 1
     472: 1
     476: 1
     480: 1
     482: 1
     484: 1
     486: 1
     489: 1
     491: 1
     493: 1
     497: 1
     499: 1
     501: 1
     503: 1
     508: 1
     509: 1
     512: 1
     513: 1
     514: 1
     515: 1
     518: 1
     519: 1
     520: 1
     522: 1
     523: 1
     524: 1
     525: 1
     526: 1
     527: 1
     529: 1
     539: 1
     543: 1
     547: 1
     549: 1
     553: 1
     555: 1
     557: 1
     559: 1
     561: 1
     565: 1
     567: 1
     569: 1
     571: 1
     575: 1
     577: 1
     579: 1
     581: 1
     583: 1
     585: 1
     587: 1
     589: 1
     591: 1
     597: 1
     599: 1
     600: 1
     602: 1
     603: 1
     604: 1
     606: 1
     609: 1
     610: 1
     615: 1
     621: 1
     631: 1
     635: 1
     637: 1
     639: 1
     641: 1
     645: 1
     649: 1
     651: 1
     655: 1
     659: 1
     661: 1
     665: 1
     667: 1
     669: 1
     671: 1
     686: 1
     690: 1
     693: 1
     694: 1
     695: 1
     701: 1
     715: 1
     717: 1
     723: 1
     731: 1
     741: 1
     743: 1
     745: 1
     747: 1
     749: 1
     757: 1
     759: 1
     771: 1
     797: 1
     801: 1
     803: 1
     816: 1

817:   0: q^3+3q^2+2q
       1: q^2+2q
       2: q^3+3q^2+2q
       3: q^3+3q^2+2q
       4: q^3+3q^2+2q
       5: q^2+2q
       6: q^2+2q
       7: q^2+2q
       8: q^3+3q^2+2q
       9: q^2+2q
      10: q^2+2q
      11: q^3+q^2+q
      12: q^3+3q^2+2q
      13: q^3+q^2+q
      15: q^2+2q
      16: q^2+2q
      17: q^2+2q
      18: q^3+q^2+q
      19: q^2+2q
      20: q^2+2q
      21: q^2+2q
      23: 2q^2+2q
      24: 2q^2+2q
      25: q^2+q
      26: q^2+q
      27: q^3+3q^2+2q
      28: q^2+2q
      29: q^2+2q
      30: q^3+3q^2+2q
      31: q^3+3q^2+2q
      32: q^2+2q
      33: q^3+3q^2+2q
      34: q^2+2q
      35: q^3+3q^2+2q
      36: q^2+2q
      37: q^3+3q^2+2q
      38: q^2+2q
      39: q^2+q
      40: q^2+2q
      41: q^2+2q
      42: q^2+2q
      43: q^2+2q
      44: 2q^2+2q
      45: q^2+2q
      46: q^2+2q
      47: 2q^2+2q
      48: q^2+q
      49: q^3+2q^2+q
      50: q
      51: q^2+q
      52: q^2+q
      53: q^3+2q^2+q
      54: q
      55: q^2+q
      56: q^2+2q
      57: q^2+2q
      58: q^2+2q
      60: 2q
      61: 2q
      62: q^2+q
      64: 2q^2+2q
      65: q^2+q
      66: 2q^2+2q
      67: q^2+q
      68: q^3+3q^2+2q
      69: q^2+2q
      70: q^3+3q^2+2q
      71: q^2+2q
      72: q^3+3q^2+2q
      73: q^2+2q
      74: q^3+3q^2+2q
      75: q^2+2q
      76: q
      77: q^2+q
      78: q
      79: q^2+q
      80: q^2+q
      81: q^2+q
      83: q
      84: q^2+2q
      85: q^2+q
      86: 2q^2+2q
      87: 2q^2+2q
      88: q^2+q
      89: q^3+2q^2+q
      90: q
      91: q^2+q
      92: q^2+q
      93: q^3+2q^2+q
      94: q
      95: q^2+q
      96: q^2+2q
      97: 2q
      98: q^2+2q
      99: q^2+2q
     100: q^2+2q
     101: 2q
     102: q^2+2q
     103: q^2+2q
     104: 2q
     105: 2q
     106: q^2+q
     108: 2q
     109: q^2+q
     110: 2q
     112: 2q^2+2q
     113: q^2+q
     114: 2q^2+2q
     115: q^2+q
     116: 2q^2+2q
     117: q^2+q
     118: 2q^2+2q
     119: q^2+q
     120: q^3+3q^2+2q
     121: q^2+2q
     122: q^3+3q^2+2q
     123: q^2+2q
     124: q^2+q
     125: q^2+q
     126: q
     127: q^2+q
     128: q
     129: q^2+q
     130: q
     131: q^2+q
     132: q
     133: q
     135: q
     137: q^2+q
     139: q^2
     141: q^2+q
     143: q^2
     145: q
     146: 2q
     147: 2q
     148: 2q
     149: q
     150: q^2+q
     151: 2q^2+2q
     152: q^2+2q
     153: 2q^2+2q
     154: 2q
     155: q
     156: q^2+q
     157: q^2+2q
     158: 2q^2+2q
     159: 2q^2+2q
     160: q^2+2q
     161: q^2+2q
     162: q^2+q
     163: q^3+2q^2+q
     164: q
     165: q^2+q
     166: q^2+q
     167: q^3+2q^2+q
     168: q
     169: q^2+q
     170: 2q
     171: q^2+q
     172: 2q
     174: 2q
     175: q^2+q
     176: 2q
     178: 2q
     179: q^2+q
     180: 2q
     182: 2q^2+2q
     183: q^2+q
     184: 2q^2+2q
     185: q^2+q
     189: q^2
     191: q^2+q
     192: q
     193: q
     194: q
     195: q^2+q
     196: q^2+q
     197: q^2+q
     198: q^2+q
     199: q^2+q
     200: q
     201: q
     202: q
     203: q^2+q
     204: q
     205: q^2+q
     207: q
     209: q^2
     211: q
     216: q
     217: 2q
     218: q
     219: 2q
     220: q
     221: q
     223: q
     224: 2q
     225: 2q
     226: q
     228: q
     229: 2q
     230: 2q
     231: q
     233: q^2+q
     235: q^2
     237: q^2+q
     239: q^2
     240: q^2+q
     241: 2q^2+2q
     242: 2q^2+2q
     243: q^2+2q
     244: 2q^2+2q
     245: q^2+q
     246: 2q^2+2q
     247: q^2+q
     248: 2q
     249: q^2+q
     250: 2q
     252: 2q
     253: q^2+q
     254: 2q
     256: 2q
     257: q^2+q
     258: 2q
     267: q
     270: q
     271: q
     273: q^2+q
     274: q
     275: q
     277: q^2+q
     278: q
     279: q
     283: q^2
     284: q^2+q
     285: q^2+q
     286: q
     287: q^2+q
     289: q
     291: q^2
     293: q
     297: q
     298: q
     299: q
     300: q^2+q
     302: q^2+q
     304: q^2
     306: q^2+q
     308: q^2
     311: q
     312: 2q
     313: q
     314: 2q
     315: q
     316: 2q^2+2q
     319: q
     320: 2q
     321: q
     322: 2q
     323: q
     324: 2q^2+2q
     326: q
     328: q^2
     330: q
     333: q
     335: q
     336: 2q
     337: 2q
     338: 2q
     339: q^2+q
     340: 2q
     342: 2q
     343: q^2+q
     344: 2q
     353: q
     361: q^2
     365: q
     366: q
     367: q
     369: q^2+q
     373: q
     374: q
     375: q
     377: q^2+q
     384: q
     385: q
     387: q^2+q
     388: q^2+q
     389: q^2+q
     392: q
     395: q
     397: q^2
     399: q
     402: q
     404: q
     405: q
     406: q
     407: 2q
     409: q
     410: q
     411: q
     412: 2q
     414: q
     416: q^2
     418: q
     423: q
     424: 2q
     425: q
     426: 2q
     427: q
     428: 1
     429: 1
     430: 1
     432: 2q
     433: q^2+q
     434: 2q
     440: q^2+q
     459: q
     463: q
     469: q
     473: q
     483: q
     484: q
     485: q
     486: q
     487: q
     490: 1
     492: 1
     494: 1
     497: 1
     500: q
     502: q^2
     504: q
     508: q
     509: 1
     512: q
     513: 2q
     514: q
     515: 1
     518: q
     519: 2q
     520: q
     522: q
     523: q
     524: q
     525: 1
     526: 1
     527: 1
     533: q
     540: 1
     550: 1
     560: q
     562: 1
     572: q
     575: 1
     582: q
     585: q
     586: q
     588: 1
     590: 1
     592: 1
     597: 1
     599: 1
     600: 1
     602: q
     603: 1
     604: 1
     606: q
     609: q
     610: q
     616: 1
     625: q
     632: 1
     639: 1
     642: 1
     646: 1
     652: 1
     656: 1
     661: 1
     686: 1
     690: 1
     693: 1
     694: q
     696: 1
     702: 1
     717: 1
     724: 1
     732: 1
     744: 1
     749: 1
     757: 1
     760: 1
     772: 1
     798: 1
     803: 1
     817: 1

818:   0: q^3+q^2+q
       1: q
       2: q^3+q^2+q
       3: q^2+q
       4: q^3+q^2+q
       5: q
       6: q^5+q
       7: q
       8: q^3+q^2+q
       9: q^5+q
      10: q
      11: q^5+q
      12: q^4+q^3+q^2+q
      13: q^5+q
      15: q
      16: q^5+q
      17: q
      18: q^5+q
      19: q
      20: q
      21: q
      23: q^3+q^2+q
      24: q^3+q^2+q
      25: q^5+q
      26: q^5+q
      27: q^2+q
      28: q
      29: q
      30: q^3+q^2+q
      31: q^3+q^2+q
      32: q
      33: q^3+q^2+q
      34: q
      35: q^3+q^2+q
      36: q
      37: q^3+q^2+q
      38: q
      39: q^5+q
      40: q
      41: q
      42: q
      43: q
      44: q^3+q^2+q
      45: q
      46: q
      47: q^3+q^2+q
      48: q^3+q^2+q
      50: q
      52: q^3+q^2+q
      54: q
      56: q
      57: q
      58: q
      60: q
      61: q
      62: q
      64: q^2+q
      65: q
      66: q^3+q^2+q
      67: q
      68: q^2+q
      69: q
      70: q^3+q^2+q
      71: q
      72: q^2+q
      73: q
      74: q^3+q^2+q
      75: q
      76: q
      78: q
      80: q^3+q^2+q
      83: q
      84: q
      85: q
      86: q^2+q
      87: q^2+q
      88: q^2+q
      90: q
      92: q^3+q^2+q
      94: q
      96: q
      97: q
      98: q
      99: q
     100: q
     101: q
     102: q
     103: q
     104: q
     105: q
     106: q
     108: q
     109: q
     110: q
     112: q^2+q
     113: q
     114: q^3+q^2+q
     115: q
     116: q^2+q
     117: q
     118: q^3+q^2+q
     119: q
     120: q^2+q
     121: q
     122: q^3+q^2+q
     123: q
     124: q^2+q
     126: q
     128: q
     130: q
     132: q
     135: q
     136: q^2+q
     138: q
     140: q^3+q^2+q
     142: q
     145: q
     146: q
     147: q
     148: q
     149: q
     150: q
     151: q^2+q
     152: q
     153: q^2+q
     154: q
     155: q
     156: q
     157: q
     158: q^2+q
     159: q^2+q
     160: q
     161: q
     162: q^2+q
     164: q
     166: q^3+q^2+q
     168: q
     170: q
     171: q
     172: q
     174: q
     175: q
     176: q
     178: q
     179: q
     180: q
     182: q^2+q
     183: q
     184: q^3+q^2+q
     185: q
     186: q
     188: q
     190: q^2+q
     192: q
     194: q
     196: q^2+q
     198: q^2+q
     200: q
     202: q
     204: q
     206: q
     208: q
     210: q
     216: q
     217: q
     218: q
     219: q
     220: q
     221: q
     223: q
     224: q
     225: q
     226: q
     228: q
     229: q
     230: q
     231: q
     232: q^2+q
     234: q
     236: q^3+q^2+q
     238: q
     240: q
     241: q^2+q
     242: q^2+q
     243: q
     244: q^2+q
     245: q
     246: q^2+q
     247: q
     248: q
     249: q
     250: q
     252: q
     253: q
     254: q
     256: q
     257: q
     258: q
     262: q
     264: q
     266: q
     268: q
     270: q
     272: q^2+q
     274: q
     276: q^2+q
     278: q
     280: q
     282: q
     284: q^2+q
     286: q
     288: q
     290: q
     292: q
     297: q
     298: q
     299: q
     300: q
     301: q^2+q
     303: q
     305: q^2+q
     307: q
     311: q
     312: q
     313: q
     314: q
     315: q
     316: q^2+q
     319: q
     320: q
     321: q
     322: q
     323: q
     324: q^2+q
     325: q
     327: q
     329: q
     333: q
     335: q
     336: q
     337: q
     342: q
     343: q
     344: q
     348: q
     352: q
     354: q
     356: q
     358: q
     360: q
     362: q
     364: q
     366: q
     368: q^2+q
     370: q
     372: q
     374: q
     376: q^2+q
     380: q
     382: q
     384: q
     386: q^2+q
     388: q^2+q
     392: q
     404: q
     405: q
     406: q
     409: q
     410: q
     411: q
     413: q
     415: q
     417: q
     423: q
     424: q
     425: q
     426: q
     427: q
     436: q^2+q
     446: q
     450: q
     454: q
     456: q
     458: q
     460: q
     464: q
     466: q
     468: q
     470: q
     476: q
     480: q
     482: q
     484: q
     512: q
     518: q
     522: q
     523: q
     524: q
     553: q
     557: q
     565: q
     569: q
     577: q
     579: q
     581: q
     583: q
     609: q
     637: 1
     665: q
     669: q
     697: 1
     715: 1
     747: 1
     761: 1
     773: 1
     801: 1
     818: 1

819:   0: q^3+3q^2+2q
       1: q^2+2q
       2: q^3+3q^2+2q
       3: q^3+3q^2+2q
       4: q^3+3q^2+2q
       5: q^2+2q
       6: q^2+2q
       7: q^2+2q
       8: q^3+3q^2+2q
       9: q^2+2q
      10: q^2+2q
      11: q^3+q^2+q
      12: q^3+3q^2+2q
      13: q^3+q^2+q
      15: q^2+2q
      16: q^2+2q
      17: q^2+2q
      18: q^3+q^2+q
      19: q^2+2q
      20: q^2+2q
      21: q^2+2q
      23: 2q^2+2q
      24: 2q^2+2q
      25: q^2+q
      26: q^2+q
      27: q^3+3q^2+2q
      28: q^2+2q
      29: q^2+2q
      30: q^3+3q^2+2q
      31: q^3+3q^2+2q
      32: q^2+2q
      33: q^3+3q^2+2q
      34: q^2+2q
      35: q^3+3q^2+2q
      36: q^2+2q
      37: q^3+3q^2+2q
      38: q^2+2q
      39: q^2+q
      40: q^2+2q
      41: q^2+2q
      42: q^2+2q
      43: q^2+2q
      44: 2q^2+2q
      45: q^2+2q
      46: q^2+2q
      47: 2q^2+2q
      48: q^3+2q^2+q
      49: q^2+q
      50: q^2+q
      51: q
      52: q^3+2q^2+q
      53: q^2+q
      54: q^2+q
      55: q
      56: q^2+2q
      57: q^2+2q
      58: q^2+2q
      60: 2q
      61: 2q
      62: q^2+q
      64: 2q^2+2q
      65: q^2+q
      66: 2q^2+2q
      67: q^2+q
      68: q^3+3q^2+2q
      69: q^2+2q
      70: q^3+3q^2+2q
      71: q^2+2q
      72: q^3+3q^2+2q
      73: q^2+2q
      74: q^3+3q^2+2q
      75: q^2+2q
      76: q^2+q
      77: q
      78: q^2+q
      79: q
      80: q^2+q
      81: q^2+q
      83: q
      84: q^2+2q
      85: q^2+q
      86: 2q^2+2q
      87: 2q^2+2q
      88: q^3+2q^2+q
      89: q^2+q
      90: q^2+q
      91: q
      92: q^3+2q^2+q
      93: q^2+q
      94: q^2+q
      95: q
      96: q^2+2q
      97: 2q
      98: q^2+2q
      99: q^2+2q
     100: q^2+2q
     101: 2q
     102: q^2+2q
     103: q^2+2q
     104: 2q
     105: 2q
     106: q^2+q
     108: 2q
     109: q^2+q
     110: 2q
     112: 2q^2+2q
     113: q^2+q
     114: 2q^2+2q
     115: q^2+q
     116: 2q^2+2q
     117: q^2+q
     118: 2q^2+2q
     119: q^2+q
     120: q^3+3q^2+2q
     121: q^2+2q
     122: q^3+3q^2+2q
     123: q^2+2q
     124: q^2+q
     125: q^2+q
     126: q^2+q
     127: q
     128: q^2+q
     129: q
     130: q^2+q
     131: q
     132: q
     133: q
     135: q
     136: q^2+q
     138: q^2
     140: q^2+q
     142: q^2
     145: q
     146: 2q
     147: 2q
     148: 2q
     149: q
     150: q^2+q
     151: 2q^2+2q
     152: q^2+2q
     153: 2q^2+2q
     154: 2q
     155: q
     156: q^2+q
     157: q^2+2q
     158: 2q^2+2q
     159: 2q^2+2q
     160: q^2+2q
     161: q^2+2q
     162: q^3+2q^2+q
     163: q^2+q
     164: q^2+q
     165: q
     166: q^3+2q^2+q
     167: q^2+q
     168: q^2+q
     169: q
     170: 2q
     171: q^2+q
     172: 2q
     174: 2q
     175: q^2+q
     176: 2q
     178: 2q
     179: q^2+q
     180: 2q
     182: 2q^2+2q
     183: q^2+q
     184: 2q^2+2q
     185: q^2+q
     188: q^2
     190: q^2+q
     192: q
     193: q
     194: q^2+q
     195: q
     196: q^2+q
     197: q^2+q
     198: q^2+q
     199: q^2+q
     200: q
     201: q
     202: q^2+q
     203: q
     204: q^2+q
     205: q
     206: q
     208: q^2
     210: q
     216: q
     217: 2q
     218: q
     219: 2q
     220: q
     221: q
     223: q
     224: 2q
     225: 2q
     226: q
     228: q
     229: 2q
     230: 2q
     231: q
     232: q^2+q
     234: q^2
     236: q^2+q
     238: q^2
     240: q^2+q
     241: 2q^2+2q
     242: 2q^2+2q
     243: q^2+2q
     244: 2q^2+2q
     245: q^2+q
     246: 2q^2+2q
     247: q^2+q
     248: 2q
     249: q^2+q
     250: 2q
     252: 2q
     253: q^2+q
     254: 2q
     256: 2q
     257: q^2+q
     258: 2q
     266: q
     270: q
     271: q
     272: q^2+q
     274: q
     275: q
     276: q^2+q
     278: q
     279: q
     282: q^2
     284: q^2+q
     285: q^2+q
     286: q^2+q
     287: q
     288: q
     290: q^2
     292: q
     297: q
     298: q
     299: q
     300: q^2+q
     301: q^2+q
     303: q^2
     305: q^2+q
     307: q^2
     311: q
     312: 2q
     313: q
     314: 2q
     315: q
     316: 2q^2+2q
     319: q
     320: 2q
     321: q
     322: 2q
     323: q
     324: 2q^2+2q
     325: q
     327: q^2
     329: q
     333: q
     335: q
     336: 2q
     337: 2q
     338: 2q
     339: q^2+q
     340: 2q
     342: 2q
     343: q^2+q
     344: 2q
     352: q
     360: q^2
     364: q
     366: q
     367: q
     368: q^2+q
     372: q
     374: q
     375: q
     376: q^2+q
     384: q
     385: q
     386: q^2+q
     388: q^2+q
     389: q^2+q
     392: q
     394: q
     396: q^2
     398: q
     402: q
     404: q
     405: q
     406: q
     407: 2q
     409: q
     410: q
     411: q
     412: 2q
     413: q
     415: q^2
     417: q
     423: q
     424: 2q
     425: q
     426: 2q
     427: q
     428: 1
     429: 1
     430: 1
     432: 2q
     433: q^2+q
     434: 2q
     436: q^2+q
     458: q
     462: q
     468: q
     472: q
     482: q
     484: q
     485: q
     486: q
     487: q
     489: 1
     491: 1
     493: 1
     497: 1
     499: q
     501: q^2
     503: q
     508: q
     509: 1
     512: q
     513: 2q
     514: q
     515: 1
     518: q
     519: 2q
     520: q
     522: q
     523: q
     524: q
     525: 1
     526: 1
     527: 1
     529: q
     539: 1
     549: 1
     559: q
     561: 1
     571: q
     576: 1
     581: q
     585: q
     586: q
     587: 1
     589: 1
     591: 1
     597: 1
     599: 1
     600: 1
     602: q
     603: 1
     604: 1
     606: q
     609: q
     610: q
     618: 1
     621: q
     631: 1
     640: 1
     641: 1
     645: 1
     651: 1
     655: 1
     662: 1
     686: 1
     690: 1
     693: 1
     694: q
     698: 1
     704: 1
     718: 1
     723: 1
     731: 1
     743: 1
     750: 1
     757: 1
     762: 1
     774: 1
     797: 1
     804: 1
     819: 1

820:   0: q+1
       1: 1
       2: q+1
       3: q+1
       4: q+1
       5: 1
       6: 1
       7: 1
       8: q+1
       9: 1
      10: 1
      11: 1
      12: q+1
      13: 1
      15: 1
      16: 1
      17: 1
      18: 1
      19: 1
      20: 1
      21: 1
      23: q+1
      24: q+1
      25: 1
      26: 1
      27: q+1
      28: 1
      29: 1
      30: q+1
      31: q+1
      32: 1
      33: q+1
      34: 1
      35: q+1
      36: 1
      37: q+1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: q+1
      45: 1
      46: 1
      47: q+1
      49: q+1
      51: 1
      53: q+1
      55: 1
      56: 1
      57: 1
      58: 1
      60: 1
      61: 1
      62: 1
      64: q+1
      65: 1
      66: q+1
      67: 1
      68: q+1
      69: 1
      70: q+1
      71: 1
      72: q+1
      73: 1
      74: q+1
      75: 1
      77: 1
      79: 1
      81: q+1
      83: 1
      84: 1
      85: 1
      86: q+1
      87: q+1
      89: q+1
      91: 1
      93: q+1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: 1
     112: q+1
     113: 1
     114: q+1
     115: 1
     116: q+1
     117: 1
     118: q+1
     119: 1
     120: q+1
     121: 1
     122: q+1
     123: 1
     125: q+1
     127: 1
     129: 1
     131: 1
     133: 1
     135: 1
     137: q+1
     139: 1
     141: q+1
     143: 1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     151: q+1
     152: 1
     153: q+1
     154: 1
     155: 1
     156: 1
     157: 1
     158: q+1
     159: q+1
     160: 1
     161: 1
     163: q+1
     165: 1
     167: q+1
     169: 1
     170: 1
     171: 1
     172: 1
     174: 1
     175: 1
     176: 1
     178: 1
     179: 1
     180: 1
     182: q+1
     183: 1
     184: q+1
     185: 1
     187: 1
     189: 1
     191: q+1
     193: 1
     195: 1
     197: q+1
     199: q+1
     201: 1
     203: 1
     205: 1
     207: 1
     209: 1
     211: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     223: 1
     224: 1
     225: 1
     226: 1
     228: 1
     229: 1
     230: 1
     231: 1
     233: q+1
     235: 1
     237: q+1
     239: 1
     240: 1
     241: q+1
     242: q+1
     243: 1
     244: q+1
     245: 1
     246: q+1
     247: 1
     248: 1
     249: 1
     250: 1
     252: 1
     253: 1
     254: 1
     256: 1
     257: 1
     258: 1
     263: 1
     265: 1
     267: 1
     269: 1
     271: 1
     273: q+1
     275: 1
     277: q+1
     279: 1
     281: 1
     283: 1
     285: q+1
     287: 1
     289: 1
     291: 1
     293: 1
     297: 1
     298: 1
     299: 1
     300: 1
     302: q+1
     304: 1
     306: q+1
     308: 1
     311: 1
     312: 1
     313: 1
     314: 1
     315: 1
     316: q+1
     319: 1
     320: 1
     321: 1
     322: 1
     323: 1
     324: q+1
     326: 1
     328: 1
     330: 1
     333: 1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: 1
     342: 1
     343: 1
     344: 1
     349: 1
     353: 1
     355: 1
     357: 1
     359: 1
     361: 1
     363: 1
     365: 1
     367: 1
     369: q+1
     371: 1
     373: 1
     375: 1
     377: q+1
     381: 1
     383: 1
     385: 1
     387: q+1
     389: q+1
     392: 1
     395: 1
     397: 1
     399: 1
     402: 1
     404: 1
     405: 1
     406: 1
     407: 1
     409: 1
     410: 1
     411: 1
     412: 1
     414: 1
     416: 1
     418: 1
     423: 1
     424: 1
     425: 1
     426: 1
     427: 1
     428: 1
     429: 1
     430: 1
     432: 1
     433: 1
     434: 1
     440: q+1
     447: 1
     449: 1
     451: 1
     455: 1
     457: 1
     459: 1
     461: 1
     463: 1
     465: 1
     467: 1
     469: 1
     471: 1
     473: 1
     477: 1
     481: 1
     483: 1
     485: 1
     487: 1
     490: 1
     492: 1
     494: 1
     497: 1
     500: 1
     502: 1
     504: 1
     508: 1
     509: 1
     512: 1
     513: 1
     514: 1
     515: 1
     518: 1
     519: 1
     520: 1
     522: 1
     523: 1
     524: 1
     525: 1
     526: 1
     527: 1
     533: 1
     540: 1
     544: 1
     548: 1
     550: 1
     554: 1
     556: 1
     558: 1
     560: 1
     562: 1
     566: 1
     568: 1
     570: 1
     572: 1
     576: 1
     578: 1
     580: 1
     582: 1
     584: 1
     586: 1
     588: 1
     590: 1
     592: 1
     597: 1
     599: 1
     600: 1
     602: 1
     603: 1
     604: 1
     606: 1
     609: 1
     610: 1
     619: 1
     625: 1
     632: 1
     636: 1
     638: 1
     640: 1
     642: 1
     646: 1
     650: 1
     652: 1
     656: 1
     660: 1
     662: 1
     666: 1
     668: 1
     670: 1
     672: 1
     686: 1
     690: 1
     693: 1
     694: 1
     699: 1
     705: 1
     716: 1
     718: 1
     724: 1
     732: 1
     742: 1
     744: 1
     746: 1
     748: 1
     750: 1
     757: 1
     763: 1
     775: 1
     798: 1
     802: 1
     804: 1
     820: 1

821:   0: q^3+q^2+q
       1: q
       2: q^3+q^2+q
       3: q^2+q
       4: q^3+q^2+q
       5: q
       6: q^5+q
       7: q
       8: q^3+q^2+q
       9: q^5+q
      10: q
      11: q^5+q
      12: q^4+q^3+q^2+q
      13: q^5+q
      15: q
      16: q^5+q
      17: q
      18: q^5+q
      19: q
      20: q
      21: q
      23: q^3+q^2+q
      24: q^3+q^2+q
      25: q^5+q
      26: q^5+q
      27: q^2+q
      28: q
      29: q
      30: q^3+q^2+q
      31: q^3+q^2+q
      32: q
      33: q^3+q^2+q
      34: q
      35: q^3+q^2+q
      36: q
      37: q^3+q^2+q
      38: q
      39: q^5+q
      40: q
      41: q
      42: q
      43: q
      44: q^3+q^2+q
      45: q
      46: q
      47: q^3+q^2+q
      49: q^3+q^2+q
      51: q
      53: q^3+q^2+q
      55: q
      56: q
      57: q
      58: q
      60: q
      61: q
      62: q
      64: q^2+q
      65: q
      66: q^3+q^2+q
      67: q
      68: q^2+q
      69: q
      70: q^3+q^2+q
      71: q
      72: q^2+q
      73: q
      74: q^3+q^2+q
      75: q
      77: q
      79: q
      81: q^3+q^2+q
      83: q
      84: q
      85: q
      86: q^2+q
      87: q^2+q
      89: q^2+q
      91: q
      93: q^3+q^2+q
      95: q
      96: q
      97: q
      98: q
      99: q
     100: q
     101: q
     102: q
     103: q
     104: q
     105: q
     106: q
     108: q
     109: q
     110: q
     112: q^2+q
     113: q
     114: q^3+q^2+q
     115: q
     116: q^2+q
     117: q
     118: q^3+q^2+q
     119: q
     120: q^2+q
     121: q
     122: q^3+q^2+q
     123: q
     125: q^2+q
     127: q
     129: q
     131: q
     133: q
     135: q
     137: q^2+q
     139: q
     141: q^3+q^2+q
     143: q
     145: q
     146: q
     147: q
     148: q
     149: q
     150: q
     151: q^2+q
     152: q
     153: q^2+q
     154: q
     155: q
     156: q
     157: q
     158: q^2+q
     159: q^2+q
     160: q
     161: q
     163: q^2+q
     165: q
     167: q^3+q^2+q
     169: q
     170: q
     171: q
     172: q
     174: q
     175: q
     176: q
     178: q
     179: q
     180: q
     182: q^2+q
     183: q
     184: q^3+q^2+q
     185: q
     187: q
     189: q
     191: q^2+q
     193: q
     195: q
     197: q^2+q
     199: q^2+q
     201: q
     203: q
     205: q
     207: q
     209: q
     211: q
     216: q
     217: q
     218: q
     219: q
     220: q
     221: q
     223: q
     224: q
     225: q
     226: q
     228: q
     229: q
     230: q
     231: q
     233: q^2+q
     235: q
     237: q^3+q^2+q
     239: q
     240: q
     241: q^2+q
     242: q^2+q
     243: q
     244: q^2+q
     245: q
     246: q^2+q
     247: q
     248: q
     249: q
     250: q
     252: q
     253: q
     254: q
     256: q
     257: q
     258: q
     263: q
     265: q
     267: q
     269: q
     271: q
     273: q^2+q
     275: q
     277: q^2+q
     279: q
     281: q
     283: q
     285: q^2+q
     287: q
     289: q
     291: q
     293: q
     297: q
     298: q
     299: q
     300: q
     302: q^2+q
     304: q
     306: q^2+q
     308: q
     311: q
     312: q
     313: q
     314: q
     315: q
     316: q^2+q
     319: q
     320: q
     321: q
     322: q
     323: q
     324: q^2+q
     326: q
     328: q
     330: q
     333: q
     335: q
     336: q
     337: q
     342: q
     343: q
     344: q
     349: q
     353: q
     355: q
     357: q
     359: q
     361: q
     363: q
     365: q
     367: q
     369: q^2+q
     371: q
     373: q
     375: q
     377: q^2+q
     381: q
     383: q
     385: q
     387: q^2+q
     389: q^2+q
     392: q
     404: q
     405: q
     406: q
     409: q
     410: q
     411: q
     414: q
     416: q
     418: q
     423: q
     424: q
     425: q
     426: q
     427: q
     440: q^2+q
     447: q
     451: q
     455: q
     457: q
     459: q
     461: q
     465: q
     467: q
     469: q
     471: q
     477: q
     481: q
     483: q
     485: q
     512: q
     518: q
     522: q
     523: q
     524: q
     554: q
     558: q
     566: q
     570: q
     578: q
     580: q
     582: q
     584: q
     609: q
     638: 1
     666: q
     670: q
     700: 1
     716: 1
     748: 1
     764: 1
     776: 1
     802: 1
     821: 1

822:   0: q^2+2q+1
       1: q^4+2q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^3+2q^2+2q+1
       5: q^4+2q+1
       6: q^4+2q+1
       7: q^2+2q+1
       8: q^3+2q^2+2q+1
       9: q^4+2q+1
      10: q^2+2q+1
      11: q^4+2q+1
      12: q^3+2q^2+2q+1
      13: q^4+2q+1
      14: q^5+q^4+q+1
      15: q^4+2q+1
      16: q^4+2q+1
      17: q^2+2q+1
      18: q^4+2q+1
      19: 2q+1
      20: 2q+1
      21: q^2+2q+1
      22: q^4+q+1
      23: q^2+2q+1
      24: q^3+2q^2+2q+1
      25: q^4+2q+1
      26: q^4+2q+1
      27: q^2+2q+1
      28: q^4+2q+1
      29: q^4+2q+1
      30: q^3+2q^2+2q+1
      31: q^2+2q+1
      32: 2q+1
      33: q^2+2q+1
      34: 2q+1
      35: q^2+2q+1
      36: 2q+1
      37: q^2+2q+1
      38: 2q+1
      39: q^4+2q+1
      40: q^4+2q+1
      41: 2q+1
      42: 2q+1
      43: 2q+1
      44: q^2+2q+1
      45: 2q+1
      46: 2q+1
      47: q^2+2q+1
      48: q^2+2q+1
      50: 2q+1
      52: q^2+2q+1
      54: 2q+1
      56: 2q+1
      57: 2q+1
      58: q^2+2q+1
      59: q^4+q+1
      60: 2q+1
      61: q^2+2q+1
      62: 2q+1
      63: q^4+q+1
      64: q^2+2q+1
      65: q^4+2q+1
      66: q^3+2q^2+2q+1
      67: q^4+2q+1
      68: q^2+2q+1
      69: 2q+1
      70: q^2+2q+1
      71: 2q+1
      72: q^2+2q+1
      73: 2q+1
      74: q^2+2q+1
      75: 2q+1
      76: 2q+1
      78: 2q+1
      80: q^2+2q+1
      82: q+1
      83: 2q+1
      84: 2q+1
      85: q^4+2q+1
      86: q^2+2q+1
      87: q^2+2q+1
      88: q^2+2q+1
      90: 2q+1
      92: q^2+2q+1
      94: 2q+1
      96: 2q+1
      97: 2q+1
      98: 2q+1
      99: 2q+1
     100: 2q+1
     101: 2q+1
     102: 2q+1
     103: 2q+1
     104: 2q+1
     105: q^2+2q+1
     106: 2q+1
     107: q^4+q+1
     108: 2q+1
     109: 2q+1
     110: q^2+2q+1
     111: q^4+q+1
     112: q^2+2q+1
     113: 2q+1
     114: q^2+2q+1
     115: 2q+1
     116: q^2+2q+1
     117: 2q+1
     118: q^2+2q+1
     119: 2q+1
     120: q+1
     121: q+1
     122: q^2+2q+1
     123: q+1
     124: q^2+2q+1
     126: 2q+1
     128: 2q+1
     130: 2q+1
     132: 2q+1
     134: q+1
     135: 2q+1
     136: q^2+2q+1
     138: 2q+1
     140: q^2+2q+1
     142: 2q+1
     144: q+1
     145: 2q+1
     146: 2q+1
     147: 2q+1
     148: 2q+1
     149: 2q+1
     150: 2q+1
     151: q+1
     152: 2q+1
     153: q^2+2q+1
     154: 2q+1
     155: 2q+1
     156: 2q+1
     157: 2q+1
     158: q^2+2q+1
     159: q+1
     160: q+1
     161: q+1
     162: q+1
     164: q+1
     166: q^2+2q+1
     168: q+1
     170: 2q+1
     171: 2q+1
     172: q^2+2q+1
     173: q^4+q+1
     174: 2q+1
     175: 2q+1
     176: 2q+1
     177: q+1
     178: 2q+1
     179: 2q+1
     180: 2q+1
     181: q+1
     182: q+1
     183: q+1
     184: q^2+2q+1
     185: q+1
     186: 2q+1
     188: 2q+1
     190: q^2+2q+1
     192: 2q+1
     194: 2q+1
     196: q+1
     198: q+1
     200: 2q+1
     202: q+1
     204: q+1
     206: 2q+1
     208: 2q+1
     210: 2q+1
     212: q+1
     214: q+1
     215: q+1
     216: 2q+1
     217: 2q+1
     218: 2q+1
     219: 2q+1
     220: 2q+1
     221: 2q+1
     222: q+1
     223: 2q+1
     224: q+1
     225: 2q+1
     226: 2q+1
     227: q+1
     228: 2q+1
     229: 2q+1
     230: q+1
     231: q+1
     232: q+1
     234: q+1
     236: q^2+2q+1
     238: q+1
     240: q+1
     241: q+1
     242: q+1
     243: q+1
     244: q+1
     245: q+1
     246: q^2+2q+1
     247: q+1
     248: 2q+1
     249: 2q+1
     250: 2q+1
     251: q+1
     252: 2q+1
     253: 2q+1
     254: 2q+1
     255: q+1
     256: 1
     257: 1
     258: q+1
     259: 1
     260: q+1
     262: 2q+1
     264: 2q+1
     266: 2q+1
     268: 2q+1
     270: 2q+1
     272: q+1
     274: q+1
     276: q+1
     278: q+1
     280: q+1
     282: q+1
     284: q+1
     286: q+1
     288: 2q+1
     290: 2q+1
     292: 2q+1
     294: q+1
     296: q+1
     297: 2q+1
     298: 2q+1
     299: q+1
     300: q+1
     301: q+1
     303: q+1
     305: q^2+2q+1
     307: q+1
     309: q+1
     310: q+1
     311: 2q+1
     312: q+1
     313: q+1
     314: 2q+1
     315: 2q+1
     316: q+1
     317: q+1
     318: q+1
     319: 2q+1
     320: 2q+1
     321: 2q+1
     322: q+1
     323: q+1
     324: q+1
     325: 1
     327: 1
     329: q+1
     331: 1
     333: q+1
     334: 1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: q+1
     341: 1
     342: 1
     343: 1
     344: q+1
     345: 1
     346: q+1
     348: 2q+1
     350: q+1
     352: 2q+1
     354: 2q+1
     356: 2q+1
     358: q+1
     360: q+1
     362: q+1
     364: 1
     366: q+1
     368: q+1
     370: q+1
     372: 1
     374: q+1
     376: q+1
     378: 1
     380: 1
     382: q+1
     384: 1
     386: q+1
     388: q+1
     390: q+1
     391: q+1
     392: q+1
     393: 1
     394: 1
     396: 1
     398: q+1
     400: 1
     402: 1
     403: q+1
     404: q+1
     405: 2q+1
     406: q+1
     407: 1
     408: q+1
     409: 2q+1
     410: q+1
     411: q+1
     412: 1
     413: 1
     415: 1
     417: q+1
     419: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     426: 1
     427: 1
     428: 1
     429: 1
     430: q+1
     431: 1
     432: 1
     433: 1
     434: q+1
     435: 1
     436: q+1
     442: q+1
     444: q+1
     446: 2q+1
     448: 1
     450: q+1
     452: 1
     454: 1
     456: q+1
     458: 1
     460: q+1
     462: 1
     464: 1
     466: q+1
     468: 1
     470: q+1
     472: 1
     474: 1
     476: 1
     478: 1
     480: 1
     482: 2
     484: 1
     486: 1
     488: 1
     489: 1
     491: 1
     493: q+1
     495: 1
     497: 1
     498: 1
     499: 1
     501: 1
     503: q+1
     505: 1
     507: 1
     508: 1
     509: 1
     510: 1
     511: q+1
     512: q+1
     513: 1
     514: 1
     515: 1
     516: q+1
     517: 1
     518: q+1
     519: 1
     520: 1
     521: 1
     522: 1
     523: 1
     525: 1
     526: 1
     527: q+1
     528: 1
     529: 1
     531: 1
     535: 1
     537: q+1
     539: 1
     541: 1
     543: 1
     545: 1
     547: 1
     549: 1
     551: 1
     553: 1
     555: 1
     557: q+1
     559: 1
     561: 1
     563: 1
     565: 1
     567: 1
     569: q+1
     571: 1
     573: 1
     575: 1
     577: 2
     579: 1
     581: 2
     585: 1
     587: 1
     589: 1
     591: q+1
     593: 1
     595: 1
     596: 1
     597: 1
     598: 1
     599: 1
     600: 1
     601: 1
     602: 1
     603: 1
     604: 1
     605: 1
     606: 1
     607: 1
     608: 1
     615: 1
     617: 1
     621: 1
     623: 1
     627: 1
     629: 1
     631: 1
     633: 1
     635: 1
     637: 2
     639: 1
     641: 1
     643: 1
     645: 1
     647: 1
     649: 1
     651: 1
     653: 1
     655: 1
     657: 1
     659: 1
     661: 1
     663: 1
     665: 2
     683: 1
     685: 1
     686: 1
     687: 1
     689: 1
     690: 1
     691: 1
     695: 1
     697: 1
     701: 1
     703: 1
     711: 1
     713: 1
     715: 2
     717: 1
     721: 1
     723: 1
     725: 1
     729: 1
     731: 1
     733: 1
     737: 1
     752: 1
     754: 1
     759: 1
     761: 1
     777: 1
     783: 1
     785: 1
     789: 1
     822: 1

823:   0: q^2+2q+1
       1: q^4+2q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^3+2q^2+2q+1
       5: q^4+2q+1
       6: q^4+2q+1
       7: q^2+2q+1
       8: q^3+2q^2+2q+1
       9: q^4+2q+1
      10: q^2+2q+1
      11: q^4+2q+1
      12: q^3+2q^2+2q+1
      13: q^4+2q+1
      14: q^5+q^4+q+1
      15: q^4+2q+1
      16: q^4+2q+1
      17: q^2+2q+1
      18: q^4+2q+1
      19: 2q+1
      20: 2q+1
      21: q^2+2q+1
      22: q^4+q+1
      23: q^2+2q+1
      24: q^3+2q^2+2q+1
      25: q^4+2q+1
      26: q^4+2q+1
      27: q^2+2q+1
      28: q^4+2q+1
      29: q^4+2q+1
      30: q^3+2q^2+2q+1
      31: q^2+2q+1
      32: 2q+1
      33: q^2+2q+1
      34: 2q+1
      35: q^2+2q+1
      36: 2q+1
      37: q^2+2q+1
      38: 2q+1
      39: q^4+2q+1
      40: q^4+2q+1
      41: 2q+1
      42: 2q+1
      43: 2q+1
      44: q^2+2q+1
      45: 2q+1
      46: 2q+1
      47: q^2+2q+1
      49: q^2+2q+1
      51: 2q+1
      53: q^2+2q+1
      55: 2q+1
      56: 2q+1
      57: 2q+1
      58: q^2+2q+1
      59: q^4+q+1
      60: 2q+1
      61: q^2+2q+1
      62: 2q+1
      63: q^4+q+1
      64: q^2+2q+1
      65: q^4+2q+1
      66: q^3+2q^2+2q+1
      67: q^4+2q+1
      68: q^2+2q+1
      69: 2q+1
      70: q^2+2q+1
      71: 2q+1
      72: q^2+2q+1
      73: 2q+1
      74: q^2+2q+1
      75: 2q+1
      77: 2q+1
      79: 2q+1
      81: q^2+2q+1
      82: q+1
      83: 2q+1
      84: 2q+1
      85: q^4+2q+1
      86: q^2+2q+1
      87: q^2+2q+1
      89: q^2+2q+1
      91: 2q+1
      93: q^2+2q+1
      95: 2q+1
      96: 2q+1
      97: 2q+1
      98: 2q+1
      99: 2q+1
     100: 2q+1
     101: 2q+1
     102: 2q+1
     103: 2q+1
     104: 2q+1
     105: q^2+2q+1
     106: 2q+1
     107: q^4+q+1
     108: 2q+1
     109: 2q+1
     110: q^2+2q+1
     111: q^4+q+1
     112: q^2+2q+1
     113: 2q+1
     114: q^2+2q+1
     115: 2q+1
     116: q^2+2q+1
     117: 2q+1
     118: q^2+2q+1
     119: 2q+1
     120: q+1
     121: q+1
     122: q^2+2q+1
     123: q+1
     125: q^2+2q+1
     127: 2q+1
     129: 2q+1
     131: 2q+1
     133: 2q+1
     134: q+1
     135: 2q+1
     137: q^2+2q+1
     139: 2q+1
     141: q^2+2q+1
     143: 2q+1
     144: q+1
     145: 2q+1
     146: 2q+1
     147: 2q+1
     148: 2q+1
     149: 2q+1
     150: 2q+1
     151: q+1
     152: 2q+1
     153: q^2+2q+1
     154: 2q+1
     155: 2q+1
     156: 2q+1
     157: 2q+1
     158: q^2+2q+1
     159: q+1
     160: q+1
     161: q+1
     163: q+1
     165: q+1
     167: q^2+2q+1
     169: q+1
     170: 2q+1
     171: 2q+1
     172: q^2+2q+1
     173: q^4+q+1
     174: 2q+1
     175: 2q+1
     176: 2q+1
     177: q+1
     178: 2q+1
     179: 2q+1
     180: 2q+1
     181: q+1
     182: q+1
     183: q+1
     184: q^2+2q+1
     185: q+1
     187: 2q+1
     189: 2q+1
     191: q^2+2q+1
     193: 2q+1
     195: 2q+1
     197: q+1
     199: q+1
     201: 2q+1
     203: q+1
     205: q+1
     207: 2q+1
     209: 2q+1
     211: 2q+1
     213: q+1
     214: q+1
     215: q+1
     216: 2q+1
     217: 2q+1
     218: 2q+1
     219: 2q+1
     220: 2q+1
     221: 2q+1
     222: q+1
     223: 2q+1
     224: q+1
     225: 2q+1
     226: 2q+1
     227: q+1
     228: 2q+1
     229: 2q+1
     230: q+1
     231: q+1
     233: q+1
     235: q+1
     237: q^2+2q+1
     239: q+1
     240: q+1
     241: q+1
     242: q+1
     243: q+1
     244: q+1
     245: q+1
     246: q^2+2q+1
     247: q+1
     248: 2q+1
     249: 2q+1
     250: 2q+1
     251: q+1
     252: 2q+1
     253: 2q+1
     254: 2q+1
     255: q+1
     256: 1
     257: 1
     258: q+1
     259: 1
     261: q+1
     263: 2q+1
     265: 2q+1
     267: 2q+1
     269: 2q+1
     271: 2q+1
     273: q+1
     275: q+1
     277: q+1
     279: q+1
     281: q+1
     283: q+1
     285: q+1
     287: q+1
     289: 2q+1
     291: 2q+1
     293: 2q+1
     295: q+1
     296: q+1
     297: 2q+1
     298: 2q+1
     299: q+1
     300: q+1
     302: q+1
     304: q+1
     306: q^2+2q+1
     308: q+1
     309: q+1
     310: q+1
     311: 2q+1
     312: q+1
     313: q+1
     314: 2q+1
     315: 2q+1
     316: q+1
     317: q+1
     318: q+1
     319: 2q+1
     320: 2q+1
     321: 2q+1
     322: q+1
     323: q+1
     324: q+1
     326: 1
     328: 1
     330: q+1
     332: 1
     333: q+1
     334: 1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: q+1
     341: 1
     342: 1
     343: 1
     344: q+1
     345: 1
     347: q+1
     349: 2q+1
     351: q+1
     353: 2q+1
     355: 2q+1
     357: 2q+1
     359: q+1
     361: q+1
     363: q+1
     365: 1
     367: q+1
     369: q+1
     371: q+1
     373: 1
     375: q+1
     377: q+1
     379: 1
     381: 1
     383: q+1
     385: 1
     387: q+1
     389: q+1
     390: q+1
     391: q+1
     392: q+1
     393: 1
     395: 1
     397: 1
     399: q+1
     401: 1
     402: 1
     403: q+1
     404: q+1
     405: 2q+1
     406: q+1
     407: 1
     408: q+1
     409: 2q+1
     410: q+1
     411: q+1
     412: 1
     414: 1
     416: 1
     418: q+1
     420: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     426: 1
     427: 1
     428: 1
     429: 1
     430: q+1
     431: 1
     432: 1
     433: 1
     434: q+1
     435: 1
     440: q+1
     443: q+1
     445: q+1
     447: 2q+1
     449: 1
     451: q+1
     453: 1
     455: 1
     457: q+1
     459: 1
     461: q+1
     463: 1
     465: 1
     467: q+1
     469: 1
     471: q+1
     473: 1
     475: 1
     477: 1
     479: 1
     481: 1
     483: 2
     485: 1
     487: 1
     488: 1
     490: 1
     492: 1
     494: q+1
     496: 1
     497: 1
     498: 1
     500: 1
     502: 1
     504: q+1
     506: 1
     507: 1
     508: 1
     509: 1
     510: 1
     511: q+1
     512: q+1
     513: 1
     514: 1
     515: 1
     516: q+1
     517: 1
     518: q+1
     519: 1
     520: 1
     521: 1
     522: 1
     523: 1
     525: 1
     526: 1
     527: q+1
     528: 1
     533: 1
     534: 1
     536: 1
     538: q+1
     540: 1
     542: 1
     544: 1
     546: 1
     548: 1
     550: 1
     552: 1
     554: 1
     556: 1
     558: q+1
     560: 1
     562: 1
     564: 1
     566: 1
     568: 1
     570: q+1
     572: 1
     574: 1
     576: 1
     578: 2
     580: 1
     582: 2
     586: 1
     588: 1
     590: 1
     592: q+1
     594: 1
     595: 1
     596: 1
     597: 1
     598: 1
     599: 1
     600: 1
     601: 1
     602: 1
     603: 1
     604: 1
     605: 1
     606: 1
     607: 1
     608: 1
     619: 1
     620: 1
     625: 1
     626: 1
     628: 1
     630: 1
     632: 1
     634: 1
     636: 1
     638: 2
     640: 1
     642: 1
     644: 1
     646: 1
     648: 1
     650: 1
     652: 1
     654: 1
     656: 1
     658: 1
     660: 1
     662: 1
     664: 1
     666: 2
     683: 1
     685: 1
     686: 1
     687: 1
     689: 1
     690: 1
     691: 1
     699: 1
     700: 1
     705: 1
     706: 1
     712: 1
     714: 1
     716: 2
     718: 1
     722: 1
     724: 1
     726: 1
     730: 1
     732: 1
     734: 1
     738: 1
     752: 1
     754: 1
     763: 1
     764: 1
     778: 1
     784: 1
     786: 1
     790: 1
     823: 1

824:   0: 2q^2+3q+1
       1: 2q^2+3q+1
       2: 2q^2+3q+1
       3: 2q^2+3q+1
       4: 3q^2+3q+1
       5: q^3+2q+1
       6: 2q^2+3q+1
       7: 3q^2+3q+1
       8: 3q^2+3q+1
       9: q^3+2q+1
      10: q^4+q^3+q^2+2q+1
      11: 2q^2+3q+1
      12: 3q^2+3q+1
      13: q^3+2q+1
      14: q^3+2q+1
      15: 2q+1
      16: 2q+1
      17: q^2+2q+1
      18: 2q+1
      19: 2q^2+3q+1
      20: 2q^2+3q+1
      21: 3q^2+3q+1
      22: q^3+2q+1
      23: 2q^2+3q+1
      24: 3q^2+3q+1
      25: 2q^2+3q+1
      26: q^3+2q+1
      27: 2q^2+3q+1
      28: 2q^2+3q+1
      29: q^3+2q+1
      30: 3q^2+3q+1
      31: q^2+3q+1
      32: q^2+3q+1
      33: q^2+3q+1
      34: q^3+2q+1
      35: q^2+3q+1
      36: q^2+3q+1
      37: q^2+3q+1
      38: q^3+2q+1
      39: 2q+1
      40: 2q+1
      41: 2q^2+3q+1
      42: 2q+1
      43: q^2+3q+1
      44: q^2+3q+1
      45: 2q+1
      46: q^2+3q+1
      47: q^2+3q+1
      48: q+1
      49: 2q
      50: q+1
      51: 2q
      52: q+1
      53: 2q
      54: q+1
      55: q^3+q
      56: 2q+1
      57: 2q+1
      58: q^2+2q+1
      59: 2q+1
      60: 2q^2+3q+1
      61: 3q^2+3q+1
      62: 2q^2+3q+1
      63: q^3+2q+1
      64: 2q^2+3q+1
      65: 2q^2+3q+1
      66: 3q^2+3q+1
      67: q^3+2q+1
      68: q^2+3q+1
      69: q^2+3q+1
      70: q^2+3q+1
      71: q^3+2q+1
      72: q^2+3q+1
      73: q^2+3q+1
      74: q^2+3q+1
      75: q^3+2q+1
      76: q+1
      77: q
      78: q+1
      79: 2q
      80: q+1
      81: 2q
      82: 2q+1
      83: 2q^2+3q+1
      84: 2q+1
      85: 2q+1
      86: q^2+3q+1
      87: q^2+3q+1
      88: q+1
      89: 2q
      90: q+1
      91: 2q
      92: q+1
      93: 2q
      94: q+1
      95: q^3+q
      96: 2q+1
      97: q^2+3q+1
      98: 2q+1
      99: q^2+3q+1
     100: 2q+1
     101: q^2+3q+1
     102: 2q+1
     103: q^2+3q+1
     104: 2q+1
     105: q^2+2q+1
     106: 2q+1
     107: 2q+1
     108: 2q^2+3q+1
     109: 2q^2+3q+1
     110: 3q^2+3q+1
     111: q^3+2q+1
     112: q^2+3q+1
     113: q^2+3q+1
     114: q^2+3q+1
     115: q^3+2q+1
     116: q^2+3q+1
     117: q^2+3q+1
     118: q^2+3q+1
     119: q^3+2q+1
     120: 2q+1
     121: 2q+1
     122: 3q+1
     123: q+1
     124: q+1
     125: 2q
     126: q+1
     127: q
     128: q+1
     129: 2q
     130: q+1
     131: q
     132: q+1
     133: 2q
     134: 2q+1
     135: 2q+1
     136: q+1
     137: 2q
     138: q+1
     139: 2q
     140: q+1
     141: 2q
     142: q+1
     143: q^3+q
     144: 2q+1
     145: 2q^2+3q+1
     146: q^2+3q+1
     147: q^2+3q+1
     148: 2q+1
     149: q^2+3q+1
     150: 2q+1
     151: q+1
     152: 2q+1
     153: q^2+3q+1
     154: 2q+1
     155: q^2+3q+1
     156: 2q+1
     157: 2q+1
     158: q^2+3q+1
     159: q+1
     160: q+1
     161: 2q+1
     162: 1
     163: 2q
     164: 1
     165: 2q
     166: q+1
     167: 2q
     168: 1
     169: q
     170: 2q+1
     171: 2q+1
     172: q^2+2q+1
     173: 2q+1
     174: q^2+3q+1
     175: q^2+3q+1
     176: q^2+3q+1
     177: q^3+2q+1
     178: q^2+3q+1
     179: q^2+3q+1
     180: q^2+3q+1
     181: q^3+2q+1
     182: 2q+1
     183: 2q+1
     184: 3q+1
     185: q+1
     186: q+1
     187: 2q
     188: q+1
     189: q
     190: q+1
     191: 2q
     192: q+1
     193: 2q
     194: q+1
     195: q
     196: 1
     197: q
     198: 1
     199: q
     200: q+1
     201: q
     202: 1
     203: q
     204: 1
     205: 2q
     206: q+1
     207: 2q
     208: q+1
     209: 2q
     210: q+1
     211: 2q
     212: q+1
     213: q^3+q
     214: 2q+1
     215: 2q+1
     216: 2q+1
     217: 2q+1
     218: q^2+3q+1
     219: 2q+1
     220: q^2+3q+1
     221: 2q+1
     222: 2q+1
     223: q^2+3q+1
     224: q+1
     225: q^2+3q+1
     226: 2q+1
     227: 2q+1
     228: q^2+3q+1
     229: q^2+3q+1
     230: q+1
     231: 2q+1
     232: 1
     233: 2q
     234: 1
     235: 2q
     236: q+1
     237: 2q
     238: 1
     239: q
     240: q+1
     241: q+1
     242: q+1
     243: q+1
     244: 2q+1
     245: 2q+1
     246: 3q+1
     247: q+1
     248: q+1
     249: q+1
     250: q+1
     251: q+1
     252: q+1
     253: q+1
     254: q+1
     255: q+1
     256: 2q+1
     257: 2q+1
     258: 3q+1
     259: q+1
     260: q+1
     261: q
     262: q+1
     263: 2q
     264: q+1
     265: q
     266: q+1
     267: 2q
     268: q+1
     269: 2q
     270: q+1
     271: q
     272: 1
     273: q
     274: 1
     275: q
     276: 1
     277: q
     278: 1
     279: q
     280: 1
     281: 2q
     282: 1
     283: q
     284: 1
     286: 1
     287: q
     296: 2q+1
     297: 2q+1
     298: 2q+1
     299: 2q+1
     300: q+1
     301: 1
     302: 2q
     303: 1
     304: 2q
     305: q+1
     306: 2q
     307: 1
     308: q
     309: 2q+1
     310: q+1
     311: q+1
     312: 1
     313: q+1
     314: q+1
     315: q^2+3q+1
     316: q+1
     317: 2q+1
     318: q+1
     319: q+1
     320: q+1
     321: q^2+3q+1
     322: 1
     323: q+1
     324: q+1
     325: 1
     326: 2q
     327: 1
     328: 2q
     329: q+1
     330: 2q
     331: 1
     332: q
     333: q+1
     334: q+1
     335: 2q+1
     336: q+1
     337: q+1
     338: 2q+1
     339: 2q+1
     340: 3q+1
     341: q+1
     342: 1
     343: 1
     344: q+1
     345: 1
     350: q+1
     351: q
     354: q+1
     355: 2q
     356: q+1
     357: q
     358: 1
     359: 2q
     360: 1
     361: q
     362: 1
     363: q
     364: 1
     365: q
     366: 1
     368: 1
     369: q
     370: 1
     371: q
     372: 1
     373: q
     374: 1
     376: 1
     377: q
     378: 1
     379: q
     380: 1
     381: 2q
     382: 1
     383: q
     384: 1
     386: 1
     388: 1
     390: 2q+1
     391: 2q+1
     392: q+1
     393: q+1
     394: 1
     395: 2q
     396: 1
     397: 2q
     398: q+1
     399: 2q
     400: 1
     401: q
     402: 2q+1
     403: q+1
     404: 1
     405: q+1
     406: q+1
     407: q+1
     408: q+1
     409: q+1
     410: 1
     411: q+1
     412: q+1
     421: q+1
     422: 1
     423: 1
     424: 1
     425: q+1
     426: 1
     427: q+1
     428: 2q+1
     429: 2q+1
     430: 3q+1
     431: q+1
     432: 1
     433: 1
     434: q+1
     435: 1
     436: 1
     444: q+1
     445: q
     448: 1
     449: 2q
     450: 1
     451: q
     452: 1
     453: q
     454: 1
     455: q
     456: 1
     460: 1
     461: q
     462: 1
     463: q
     464: 1
     465: q
     466: 1
     470: 1
     471: q
     472: 1
     473: q
     478: 1
     479: q
     480: 1
     482: 1
     484: 1
     486: 1
     488: q+1
     489: 1
     490: 2q
     491: 1
     492: 2q
     493: q+1
     494: 2q
     495: 1
     496: q
     497: 2q+1
     498: q+1
     507: 1
     508: 1
     509: q+1
     510: 1
     511: q+1
     512: 1
     513: 1
     514: q+1
     515: q+1
     516: q+1
     517: 1
     518: 1
     519: 1
     520: q+1
     521: 1
     522: 1
     523: 1
     525: 1
     526: 1
     527: q+1
     528: 1
     529: 1
     535: 1
     536: q
     539: 1
     540: 2q
     541: 1
     542: q
     547: 1
     549: 1
     550: q
     551: 1
     555: 1
     556: q
     557: 1
     561: 1
     562: q
     563: 1
     567: 1
     568: q
     569: 1
     575: 1
     577: 1
     579: 1
     585: 1
     595: 1
     596: q+1
     597: 1
     598: 1
     599: 1
     600: q+1
     601: 1
     602: 1
     603: 1
     604: q+1
     605: 1
     606: 1
     607: 1
     608: 1
     611: 1
     612: 1
     613: q+1
     614: 1
     615: 1
     629: 1
     630: q
     635: 1
     637: 1
     639: 1
     645: 1
     646: q
     647: 1
     655: 1
     656: q
     657: 1
     661: 1
     663: 1
     681: 1
     682: 1
     683: 1
     684: 1
     685: 1
     686: 1
     687: 1
     688: 1
     689: 1
     690: 1
     691: 1
     695: 1
     713: 1
     717: 1
     721: 1
     729: 1
     735: 1
     751: 1
     752: 1
     753: 1
     754: 1
     755: 1
     777: 1
     781: 1
     806: 1
     807: 1
     824: 1

825:   0: 2q^2+3q+1
       1: 2q^2+3q+1
       2: 2q^2+3q+1
       3: 2q^2+3q+1
       4: 3q^2+3q+1
       5: q^3+2q+1
       6: 2q^2+3q+1
       7: 3q^2+3q+1
       8: 3q^2+3q+1
       9: q^3+2q+1
      10: q^4+q^3+q^2+2q+1
      11: 2q^2+3q+1
      12: 3q^2+3q+1
      13: q^3+2q+1
      14: q^3+2q+1
      15: 2q+1
      16: 2q+1
      17: q^2+2q+1
      18: 2q+1
      19: 2q^2+3q+1
      20: 2q^2+3q+1
      21: 3q^2+3q+1
      22: q^3+2q+1
      23: 2q^2+3q+1
      24: 3q^2+3q+1
      25: 2q^2+3q+1
      26: q^3+2q+1
      27: 2q^2+3q+1
      28: 2q^2+3q+1
      29: q^3+2q+1
      30: 3q^2+3q+1
      31: q^2+3q+1
      32: q^2+3q+1
      33: q^2+3q+1
      34: q^3+2q+1
      35: q^2+3q+1
      36: q^2+3q+1
      37: q^2+3q+1
      38: q^3+2q+1
      39: 2q+1
      40: 2q+1
      41: 2q^2+3q+1
      42: 2q+1
      43: q^2+3q+1
      44: q^2+3q+1
      45: 2q+1
      46: q^2+3q+1
      47: q^2+3q+1
      48: 2q
      49: q+1
      50: 2q
      51: q+1
      52: 2q
      53: q+1
      54: q^3+q
      55: q+1
      56: 2q+1
      57: 2q+1
      58: q^2+2q+1
      59: 2q+1
      60: 2q^2+3q+1
      61: 3q^2+3q+1
      62: 2q^2+3q+1
      63: q^3+2q+1
      64: 2q^2+3q+1
      65: 2q^2+3q+1
      66: 3q^2+3q+1
      67: q^3+2q+1
      68: q^2+3q+1
      69: q^2+3q+1
      70: q^2+3q+1
      71: q^3+2q+1
      72: q^2+3q+1
      73: q^2+3q+1
      74: q^2+3q+1
      75: q^3+2q+1
      76: q
      77: q+1
      78: 2q
      79: q+1
      80: 2q
      81: q+1
      82: 2q+1
      83: 2q^2+3q+1
      84: 2q+1
      85: 2q+1
      86: q^2+3q+1
      87: q^2+3q+1
      88: 2q
      89: q+1
      90: 2q
      91: q+1
      92: 2q
      93: q+1
      94: q^3+q
      95: q+1
      96: 2q+1
      97: q^2+3q+1
      98: 2q+1
      99: q^2+3q+1
     100: 2q+1
     101: q^2+3q+1
     102: 2q+1
     103: q^2+3q+1
     104: 2q+1
     105: q^2+2q+1
     106: 2q+1
     107: 2q+1
     108: 2q^2+3q+1
     109: 2q^2+3q+1
     110: 3q^2+3q+1
     111: q^3+2q+1
     112: q^2+3q+1
     113: q^2+3q+1
     114: q^2+3q+1
     115: q^3+2q+1
     116: q^2+3q+1
     117: q^2+3q+1
     118: q^2+3q+1
     119: q^3+2q+1
     120: 2q+1
     121: 2q+1
     122: 3q+1
     123: q+1
     124: 2q
     125: q+1
     126: q
     127: q+1
     128: 2q
     129: q+1
     130: q
     131: q+1
     132: 2q
     133: q+1
     134: 2q+1
     135: 2q+1
     136: 2q
     137: q+1
     138: 2q
     139: q+1
     140: 2q
     141: q+1
     142: q^3+q
     143: q+1
     144: 2q+1
     145: 2q^2+3q+1
     146: q^2+3q+1
     147: q^2+3q+1
     148: 2q+1
     149: q^2+3q+1
     150: 2q+1
     151: q+1
     152: 2q+1
     153: q^2+3q+1
     154: 2q+1
     155: q^2+3q+1
     156: 2q+1
     157: 2q+1
     158: q^2+3q+1
     159: q+1
     160: q+1
     161: 2q+1
     162: 2q
     163: 1
     164: 2q
     165: 1
     166: 2q
     167: q+1
     168: q
     169: 1
     170: 2q+1
     171: 2q+1
     172: q^2+2q+1
     173: 2q+1
     174: q^2+3q+1
     175: q^2+3q+1
     176: q^2+3q+1
     177: q^3+2q+1
     178: q^2+3q+1
     179: q^2+3q+1
     180: q^2+3q+1
     181: q^3+2q+1
     182: 2q+1
     183: 2q+1
     184: 3q+1
     185: q+1
     186: 2q
     187: q+1
     188: q
     189: q+1
     190: 2q
     191: q+1
     192: 2q
     193: q+1
     194: q
     195: q+1
     196: q
     197: 1
     198: q
     199: 1
     200: q
     201: q+1
     202: q
     203: 1
     204: 2q
     205: 1
     206: 2q
     207: q+1
     208: 2q
     209: q+1
     210: 2q
     211: q+1
     212: q^3+q
     213: q+1
     214: 2q+1
     215: 2q+1
     216: 2q+1
     217: 2q+1
     218: q^2+3q+1
     219: 2q+1
     220: q^2+3q+1
     221: 2q+1
     222: 2q+1
     223: q^2+3q+1
     224: q+1
     225: q^2+3q+1
     226: 2q+1
     227: 2q+1
     228: q^2+3q+1
     229: q^2+3q+1
     230: q+1
     231: 2q+1
     232: 2q
     233: 1
     234: 2q
     235: 1
     236: 2q
     237: q+1
     238: q
     239: 1
     240: q+1
     241: q+1
     242: q+1
     243: q+1
     244: 2q+1
     245: 2q+1
     246: 3q+1
     247: q+1
     248: q+1
     249: q+1
     250: q+1
     251: q+1
     252: q+1
     253: q+1
     254: q+1
     255: q+1
     256: 2q+1
     257: 2q+1
     258: 3q+1
     259: q+1
     260: q
     261: q+1
     262: 2q
     263: q+1
     264: q
     265: q+1
     266: 2q
     267: q+1
     268: 2q
     269: q+1
     270: q
     271: q+1
     272: q
     273: 1
     274: q
     275: 1
     276: q
     277: 1
     278: q
     279: 1
     280: 2q
     281: 1
     282: q
     283: 1
     285: 1
     286: q
     287: 1
     296: 2q+1
     297: 2q+1
     298: 2q+1
     299: 2q+1
     300: q+1
     301: 2q
     302: 1
     303: 2q
     304: 1
     305: 2q
     306: q+1
     307: q
     308: 1
     309: 2q+1
     310: q+1
     311: q+1
     312: 1
     313: q+1
     314: q+1
     315: q^2+3q+1
     316: q+1
     317: 2q+1
     318: q+1
     319: q+1
     320: q+1
     321: q^2+3q+1
     322: 1
     323: q+1
     324: q+1
     325: 2q
     326: 1
     327: 2q
     328: 1
     329: 2q
     330: q+1
     331: q
     332: 1
     333: q+1
     334: q+1
     335: 2q+1
     336: q+1
     337: q+1
     338: 2q+1
     339: 2q+1
     340: 3q+1
     341: q+1
     342: 1
     343: 1
     344: q+1
     345: 1
     350: q
     351: q+1
     354: 2q
     355: q+1
     356: q
     357: q+1
     358: 2q
     359: 1
     360: q
     361: 1
     362: q
     363: 1
     364: q
     365: 1
     367: 1
     368: q
     369: 1
     370: q
     371: 1
     372: q
     373: 1
     375: 1
     376: q
     377: 1
     378: q
     379: 1
     380: 2q
     381: 1
     382: q
     383: 1
     385: 1
     387: 1
     389: 1
     390: 2q+1
     391: 2q+1
     392: q+1
     393: q+1
     394: 2q
     395: 1
     396: 2q
     397: 1
     398: 2q
     399: q+1
     400: q
     401: 1
     402: 2q+1
     403: q+1
     404: 1
     405: q+1
     406: q+1
     407: q+1
     408: q+1
     409: q+1
     410: 1
     411: q+1
     412: q+1
     421: q+1
     422: 1
     423: 1
     424: 1
     425: q+1
     426: 1
     427: q+1
     428: 2q+1
     429: 2q+1
     430: 3q+1
     431: q+1
     432: 1
     433: 1
     434: q+1
     435: 1
     440: 1
     444: q
     445: q+1
     448: 2q
     449: 1
     450: q
     451: 1
     452: q
     453: 1
     454: q
     455: 1
     457: 1
     460: q
     461: 1
     462: q
     463: 1
     464: q
     465: 1
     467: 1
     470: q
     471: 1
     472: q
     473: 1
     478: q
     479: 1
     481: 1
     483: 1
     485: 1
     487: 1
     488: q+1
     489: 2q
     490: 1
     491: 2q
     492: 1
     493: 2q
     494: q+1
     495: q
     496: 1
     497: 2q+1
     498: q+1
     507: 1
     508: 1
     509: q+1
     510: 1
     511: q+1
     512: 1
     513: 1
     514: q+1
     515: q+1
     516: q+1
     517: 1
     518: 1
     519: 1
     520: q+1
     521: 1
     522: 1
     523: 1
     525: 1
     526: 1
     527: q+1
     528: 1
     533: 1
     535: q
     536: 1
     539: 2q
     540: 1
     541: q
     542: 1
     548: 1
     549: q
     550: 1
     552: 1
     555: q
     556: 1
     558: 1
     561: q
     562: 1
     564: 1
     567: q
     568: 1
     570: 1
     576: 1
     578: 1
     580: 1
     586: 1
     595: 1
     596: q+1
     597: 1
     598: 1
     599: 1
     600: q+1
     601: 1
     602: 1
     603: 1
     604: q+1
     605: 1
     606: 1
     607: 1
     608: 1
     611: 1
     612: 1
     613: q+1
     614: 1
     619: 1
     629: q
     630: 1
     636: 1
     638: 1
     640: 1
     645: q
     646: 1
     648: 1
     655: q
     656: 1
     658: 1
     662: 1
     664: 1
     681: 1
     682: 1
     683: 1
     684: 1
     685: 1
     686: 1
     687: 1
     688: 1
     689: 1
     690: 1
     691: 1
     699: 1
     714: 1
     718: 1
     722: 1
     730: 1
     736: 1
     751: 1
     752: 1
     753: 1
     754: 1
     755: 1
     778: 1
     782: 1
     806: 1
     807: 1
     825: 1

826:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: 2q^3+q^2+1
       6: q^2+2q+1
       7: q^2+2q+1
       8: q^2+2q+1
       9: 2q^3+q^2+1
      10: 2q^3+q^2+1
      11: q^3+q^2+q+1
      12: q^2+2q+1
      13: q^5+q^3+q^2+1
      14: q^5+q^3+q^2+1
      15: q^2+1
      16: q^2+1
      17: q^2+1
      18: q^2+1
      19: q^2+2q+1
      20: q^2+2q+1
      21: q^2+2q+1
      22: q^5+q^3+q^2+1
      23: 2q+1
      24: 2q+1
      25: q^2+q+1
      26: q^3+q^2+1
      27: q^2+2q+1
      28: q^2+2q+1
      29: 2q^3+q^2+1
      30: q^2+2q+1
      31: q^2+2q+1
      32: q^2+2q+1
      33: q^2+2q+1
      34: 2q^3+q^2+1
      35: q^2+2q+1
      36: q^2+2q+1
      37: q^2+2q+1
      38: 2q^3+q^2+1
      39: q^2+1
      40: q^2+1
      41: q^2+2q+1
      42: q^2+1
      43: q^2+2q+1
      44: 2q+1
      45: q^2+1
      46: q^2+2q+1
      47: 2q+1
      48: q^2+q+1
      49: q
      50: q^2+q+1
      51: q
      52: q^2+q+1
      53: q
      54: q^3+q^2+1
      55: q^3
      56: q^2+1
      57: q^2+1
      58: q^2+1
      59: q^2+1
      60: 2q+1
      61: 2q+1
      62: q^2+q+1
      63: q^3+q^2+1
      64: 2q+1
      65: q^2+q+1
      66: 2q+1
      67: q^3+q^2+1
      68: q^2+2q+1
      69: q^2+2q+1
      70: q^2+2q+1
      71: 2q^3+q^2+1
      72: q^2+2q+1
      73: q^2+2q+1
      74: q^2+2q+1
      75: 2q^3+q^2+1
      76: q^2+1
      78: q^2+q+1
      79: q
      80: q+1
      81: q
      82: q^2+1
      83: q+1
      84: q^2+1
      85: q^2+1
      86: 2q+1
      87: 2q+1
      88: q^2+q+1
      89: q
      90: q^2+q+1
      91: q
      92: q^2+q+1
      93: q
      94: q^3+q^2+1
      95: q^3
      96: q^2+1
      97: 2q+1
      98: q^2+1
      99: q^2+2q+1
     100: q^2+1
     101: 2q+1
     102: q^2+1
     103: q^2+2q+1
     104: 1
     105: 1
     106: 1
     107: 1
     108: 2q+1
     109: q^2+q+1
     110: 2q+1
     111: q^3+q^2+1
     112: 2q+1
     113: q^2+q+1
     114: 2q+1
     115: q^3+q^2+1
     116: 2q+1
     117: q^2+q+1
     118: 2q+1
     119: q^3+q^2+1
     120: q^2+2q+1
     121: q^2+2q+1
     122: q^2+2q+1
     123: 2q^3+q^2+1
     124: q+1
     125: q
     126: q^2+1
     128: q^2+q+1
     129: q
     130: q^2+1
     132: q+1
     133: q
     134: 1
     135: 1
     136: q+1
     138: q^2+1
     140: q+1
     142: q^2+1
     144: q^2+1
     145: q+1
     146: 2q+1
     147: 2q+1
     148: 1
     149: q+1
     150: q^2+1
     151: 2q+1
     152: q^2+1
     153: 2q+1
     154: 1
     155: q+1
     156: q^2+1
     157: q^2+1
     158: 2q+1
     159: 2q+1
     160: q^2+1
     161: q^2+2q+1
     162: q^2+q+1
     163: q
     164: q^2+q+1
     165: q
     166: q^2+q+1
     167: q
     168: q^3+q^2+1
     169: q^3
     170: 1
     171: 1
     172: 1
     173: 1
     174: 2q+1
     175: q^2+q+1
     176: 2q+1
     177: q^3+q^2+1
     178: 2q+1
     179: q^2+q+1
     180: 2q+1
     181: q^3+q^2+1
     182: 2q+1
     183: q^2+q+1
     184: 2q+1
     185: q^3+q^2+1
     186: 1
     188: q^2+1
     190: q+1
     192: q+1
     193: q
     194: q^2+1
     196: q+1
     197: q
     198: q+1
     199: q
     200: 1
     202: q^2+1
     204: q^2+q+1
     205: q
     206: q+1
     208: q^2+1
     210: q+1
     212: q^2+1
     214: 1
     215: 1
     216: 1
     217: 1
     218: q+1
     219: 1
     220: q+1
     221: 1
     222: q^2+1
     223: q+1
     224: 2q+1
     225: 2q+1
     226: 1
     227: q^2+1
     228: q+1
     229: 2q+1
     230: 2q+1
     231: q+1
     232: q+1
     234: q^2+1
     236: q+1
     238: q^2+1
     240: q^2+1
     241: 2q+1
     242: 2q+1
     243: q^2+1
     244: 2q+1
     245: q^2+q+1
     246: 2q+1
     247: q^3+q^2+1
     248: 1
     249: 1
     250: 1
     251: 1
     252: 1
     253: 1
     254: 1
     255: 1
     256: 2q+1
     257: q^2+q+1
     258: 2q+1
     259: q^3+q^2+1
     260: q^2+1
     262: 1
     264: 1
     266: q+1
     268: 1
     270: 1
     272: q+1
     274: q+1
     275: q
     276: q+1
     278: q+1
     279: q
     280: 1
     282: q^2+1
     284: q+1
     285: q
     286: q^2+1
     296: 1
     297: 1
     298: 1
     299: q+1
     300: q^2+1
     301: q+1
     303: q^2+1
     305: q+1
     307: q^2+1
     309: 1
     310: 1
     311: 1
     312: 1
     313: q+1
     314: 1
     315: q+1
     316: 2q+1
     317: 1
     318: 1
     319: 1
     320: 1
     321: q+1
     322: 1
     323: q+1
     324: 2q+1
     325: q+1
     327: q^2+1
     329: q+1
     331: q^2+1
     333: 1
     334: q^2+1
     335: q+1
     336: 2q+1
     337: 2q+1
     338: 2q+1
     339: q^2+q+1
     340: 2q+1
     341: q^3+q^2+1
     342: 1
     343: 1
     344: 1
     345: 1
     350: 1
     354: 1
     356: 1
     358: 1
     360: q^2+1
     362: 1
     364: q+1
     366: 1
     368: q+1
     370: 1
     372: q+1
     374: 1
     376: q+1
     378: q^2+1
     380: 1
     382: 1
     384: q+1
     385: q
     386: q+1
     388: q+1
     389: q
     390: 1
     391: 1
     392: 1
     393: q^2+1
     394: q+1
     396: q^2+1
     398: q+1
     400: q^2+1
     402: q+1
     403: 1
     404: 1
     405: 1
     406: q+1
     407: 2q+1
     408: 1
     409: 1
     410: 1
     411: q+1
     412: 2q+1
     421: 1
     422: 1
     423: 1
     424: 1
     425: q+1
     426: 1
     427: q+1
     428: 2
     429: 2
     430: 2
     431: q^2+1
     432: 1
     433: 1
     434: 1
     435: 1
     436: q+1
     444: 1
     448: 1
     450: 1
     452: q^2+1
     454: 1
     456: 1
     460: 1
     462: q+1
     464: 1
     466: 1
     470: 1
     472: q+1
     478: 1
     480: 1
     482: q+1
     484: 1
     486: q+1
     487: q
     488: 1
     489: 2
     491: 2
     493: 2
     495: q^2+1
     497: 2
     498: 1
     507: 1
     508: 1
     509: 2
     510: 1
     511: 1
     512: 1
     513: 1
     514: q+1
     515: 2
     516: 1
     517: 1
     518: 1
     519: 1
     520: q+1
     521: 1
     522: 1
     523: 1
     524: q+1
     529: q+1
     535: 1
     539: 2
     541: 1
     547: 1
     549: 2
     551: 1
     555: 1
     557: 1
     561: 2
     563: 1
     567: 1
     569: 1
     575: 1
     576: 1
     577: 1
     579: 1
     583: 1
     585: 1
     596: 1
     598: 1
     600: 2
     601: 1
     602: 1
     604: 2
     605: 1
     606: 1
     607: 1
     608: 1
     609: 1
     610: q+1
     615: 1
     618: 1
     629: 1
     635: 1
     637: 1
     639: 1
     640: 1
     645: 2
     647: 1
     655: 2
     657: 1
     663: 1
     667: 1
     669: 1
     671: 1
     685: 1
     687: 1
     689: 1
     691: 1
     692: 1
     693: 2
     694: 1
     695: 1
     698: 1
     713: 1
     721: 1
     729: 1
     739: 1
     743: 2
     745: 1
     747: 1
     749: 1
     750: 1
     756: 1
     758: 1
     771: 1
     774: 1
     793: 1
     799: 1
     805: 1
     826: 1

827:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: 2q^3+q^2+1
       6: q^2+2q+1
       7: q^2+2q+1
       8: q^2+2q+1
       9: 2q^3+q^2+1
      10: 2q^3+q^2+1
      11: q^3+q^2+q+1
      12: q^2+2q+1
      13: q^5+q^3+q^2+1
      14: q^5+q^3+q^2+1
      15: q^2+1
      16: q^2+1
      17: q^2+1
      18: q^2+1
      19: q^2+2q+1
      20: q^2+2q+1
      21: q^2+2q+1
      22: q^5+q^3+q^2+1
      23: 2q+1
      24: 2q+1
      25: q^2+q+1
      26: q^3+q^2+1
      27: q^2+2q+1
      28: q^2+2q+1
      29: 2q^3+q^2+1
      30: q^2+2q+1
      31: q^2+2q+1
      32: q^2+2q+1
      33: q^2+2q+1
      34: 2q^3+q^2+1
      35: q^2+2q+1
      36: q^2+2q+1
      37: q^2+2q+1
      38: 2q^3+q^2+1
      39: q^2+1
      40: q^2+1
      41: q^2+2q+1
      42: q^2+1
      43: q^2+2q+1
      44: 2q+1
      45: q^2+1
      46: q^2+2q+1
      47: 2q+1
      48: q
      49: q^2+q+1
      50: q
      51: q^2+q+1
      52: q
      53: q^2+q+1
      54: q^3
      55: q^3+q^2+1
      56: q^2+1
      57: q^2+1
      58: q^2+1
      59: q^2+1
      60: 2q+1
      61: 2q+1
      62: q^2+q+1
      63: q^3+q^2+1
      64: 2q+1
      65: q^2+q+1
      66: 2q+1
      67: q^3+q^2+1
      68: q^2+2q+1
      69: q^2+2q+1
      70: q^2+2q+1
      71: 2q^3+q^2+1
      72: q^2+2q+1
      73: q^2+2q+1
      74: q^2+2q+1
      75: 2q^3+q^2+1
      77: q^2+1
      78: q
      79: q^2+q+1
      80: q
      81: q+1
      82: q^2+1
      83: q+1
      84: q^2+1
      85: q^2+1
      86: 2q+1
      87: 2q+1
      88: q
      89: q^2+q+1
      90: q
      91: q^2+q+1
      92: q
      93: q^2+q+1
      94: q^3
      95: q^3+q^2+1
      96: q^2+1
      97: 2q+1
      98: q^2+1
      99: q^2+2q+1
     100: q^2+1
     101: 2q+1
     102: q^2+1
     103: q^2+2q+1
     104: 1
     105: 1
     106: 1
     107: 1
     108: 2q+1
     109: q^2+q+1
     110: 2q+1
     111: q^3+q^2+1
     112: 2q+1
     113: q^2+q+1
     114: 2q+1
     115: q^3+q^2+1
     116: 2q+1
     117: q^2+q+1
     118: 2q+1
     119: q^3+q^2+1
     120: q^2+2q+1
     121: q^2+2q+1
     122: q^2+2q+1
     123: 2q^3+q^2+1
     124: q
     125: q+1
     127: q^2+1
     128: q
     129: q^2+q+1
     131: q^2+1
     132: q
     133: q+1
     134: 1
     135: 1
     137: q+1
     139: q^2+1
     141: q+1
     143: q^2+1
     144: q^2+1
     145: q+1
     146: 2q+1
     147: 2q+1
     148: 1
     149: q+1
     150: q^2+1
     151: 2q+1
     152: q^2+1
     153: 2q+1
     154: 1
     155: q+1
     156: q^2+1
     157: q^2+1
     158: 2q+1
     159: 2q+1
     160: q^2+1
     161: q^2+2q+1
     162: q
     163: q^2+q+1
     164: q
     165: q^2+q+1
     166: q
     167: q^2+q+1
     168: q^3
     169: q^3+q^2+1
     170: 1
     171: 1
     172: 1
     173: 1
     174: 2q+1
     175: q^2+q+1
     176: 2q+1
     177: q^3+q^2+1
     178: 2q+1
     179: q^2+q+1
     180: 2q+1
     181: q^3+q^2+1
     182: 2q+1
     183: q^2+q+1
     184: 2q+1
     185: q^3+q^2+1
     187: 1
     189: q^2+1
     191: q+1
     192: q
     193: q+1
     195: q^2+1
     196: q
     197: q+1
     198: q
     199: q+1
     201: 1
     203: q^2+1
     204: q
     205: q^2+q+1
     207: q+1
     209: q^2+1
     211: q+1
     213: q^2+1
     214: 1
     215: 1
     216: 1
     217: 1
     218: q+1
     219: 1
     220: q+1
     221: 1
     222: q^2+1
     223: q+1
     224: 2q+1
     225: 2q+1
     226: 1
     227: q^2+1
     228: q+1
     229: 2q+1
     230: 2q+1
     231: q+1
     233: q+1
     235: q^2+1
     237: q+1
     239: q^2+1
     240: q^2+1
     241: 2q+1
     242: 2q+1
     243: q^2+1
     244: 2q+1
     245: q^2+q+1
     246: 2q+1
     247: q^3+q^2+1
     248: 1
     249: 1
     250: 1
     251: 1
     252: 1
     253: 1
     254: 1
     255: 1
     256: 2q+1
     257: q^2+q+1
     258: 2q+1
     259: q^3+q^2+1
     261: q^2+1
     263: 1
     265: 1
     267: q+1
     269: 1
     271: 1
     273: q+1
     274: q
     275: q+1
     277: q+1
     278: q
     279: q+1
     281: 1
     283: q^2+1
     284: q
     285: q+1
     287: q^2+1
     296: 1
     297: 1
     298: 1
     299: q+1
     300: q^2+1
     302: q+1
     304: q^2+1
     306: q+1
     308: q^2+1
     309: 1
     310: 1
     311: 1
     312: 1
     313: q+1
     314: 1
     315: q+1
     316: 2q+1
     317: 1
     318: 1
     319: 1
     320: 1
     321: q+1
     322: 1
     323: q+1
     324: 2q+1
     326: q+1
     328: q^2+1
     330: q+1
     332: q^2+1
     333: 1
     334: q^2+1
     335: q+1
     336: 2q+1
     337: 2q+1
     338: 2q+1
     339: q^2+q+1
     340: 2q+1
     341: q^3+q^2+1
     342: 1
     343: 1
     344: 1
     345: 1
     351: 1
     355: 1
     357: 1
     359: 1
     361: q^2+1
     363: 1
     365: q+1
     367: 1
     369: q+1
     371: 1
     373: q+1
     375: 1
     377: q+1
     379: q^2+1
     381: 1
     383: 1
     384: q
     385: q+1
     387: q+1
     388: q
     389: q+1
     390: 1
     391: 1
     392: 1
     393: q^2+1
     395: q+1
     397: q^2+1
     399: q+1
     401: q^2+1
     402: q+1
     403: 1
     404: 1
     405: 1
     406: q+1
     407: 2q+1
     408: 1
     409: 1
     410: 1
     411: q+1
     412: 2q+1
     421: 1
     422: 1
     423: 1
     424: 1
     425: q+1
     426: 1
     427: q+1
     428: 2
     429: 2
     430: 2
     431: q^2+1
     432: 1
     433: 1
     434: 1
     435: 1
     440: q+1
     445: 1
     449: 1
     451: 1
     453: q^2+1
     455: 1
     457: 1
     461: 1
     463: q+1
     465: 1
     467: 1
     471: 1
     473: q+1
     479: 1
     481: 1
     483: q+1
     485: 1
     486: q
     487: q+1
     488: 1
     490: 2
     492: 2
     494: 2
     496: q^2+1
     497: 2
     498: 1
     507: 1
     508: 1
     509: 2
     510: 1
     511: 1
     512: 1
     513: 1
     514: q+1
     515: 2
     516: 1
     517: 1
     518: 1
     519: 1
     520: q+1
     521: 1
     522: 1
     523: 1
     524: q+1
     533: q+1
     536: 1
     540: 2
     542: 1
     548: 1
     550: 2
     552: 1
     556: 1
     558: 1
     562: 2
     564: 1
     568: 1
     570: 1
     575: 1
     576: 1
     578: 1
     580: 1
     584: 1
     586: 1
     596: 1
     598: 1
     600: 2
     601: 1
     602: 1
     604: 2
     605: 1
     606: 1
     607: 1
     608: 1
     609: 1
     610: q+1
     616: 1
     619: 1
     630: 1
     636: 1
     638: 1
     639: 1
     640: 1
     646: 2
     648: 1
     656: 2
     658: 1
     664: 1
     668: 1
     670: 1
     672: 1
     685: 1
     687: 1
     689: 1
     691: 1
     692: 1
     693: 2
     694: 1
     696: 1
     699: 1
     714: 1
     722: 1
     730: 1
     740: 1
     744: 2
     746: 1
     748: 1
     749: 1
     750: 1
     756: 1
     758: 1
     772: 1
     775: 1
     794: 1
     800: 1
     805: 1
     827: 1

828:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       5: q+1
       6: q+1
       7: q+1
       8: q+1
       9: q+1
      10: q+1
      11: q+1
      12: q+1
      13: q+1
      14: q+1
      15: q+1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      20: q+1
      21: q+1
      22: q+1
      23: q+1
      24: q+1
      25: q+1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      30: q+1
      31: q+1
      32: q+1
      33: q+1
      34: q+1
      35: 1
      36: 1
      37: 1
      38: 1
      39: q+1
      40: q+1
      41: q+1
      42: q+1
      43: q+1
      44: q+1
      45: 1
      46: 1
      47: 1
      48: 1
      50: 1
      52: 1
      54: 1
      56: q+1
      57: q+1
      58: q+1
      59: q+1
      60: q+1
      61: q+1
      62: q+1
      63: q+1
      64: q+1
      65: q+1
      66: q+1
      67: q+1
      68: q+1
      69: q+1
      70: q+1
      71: q+1
      72: 1
      73: 1
      74: 1
      75: 1
      76: 1
      78: 1
      80: 1
      82: q+1
      83: q+1
      84: q+1
      85: q+1
      86: 1
      87: q+1
      88: 1
      90: 1
      92: 1
      94: 1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     100: 1
     101: 1
     102: 1
     103: 1
     104: q+1
     105: q+1
     106: q+1
     107: q+1
     108: q+1
     109: q+1
     110: q+1
     111: q+1
     112: q+1
     113: q+1
     114: q+1
     115: q+1
     116: 1
     117: 1
     118: 1
     119: 1
     120: 1
     121: 1
     122: 1
     123: 1
     124: 1
     126: 1
     128: 1
     130: 1
     132: 1
     134: q+1
     135: q+1
     136: 1
     138: 1
     140: 1
     142: 1
     144: q+1
     145: q+1
     146: 1
     147: q+1
     148: q+1
     149: q+1
     150: q+1
     151: 1
     152: q+1
     153: q+1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     160: 1
     161: 1
     162: 1
     164: 1
     166: 1
     168: 1
     170: q+1
     171: q+1
     172: q+1
     173: q+1
     174: q+1
     175: q+1
     176: q+1
     177: q+1
     178: 1
     179: 1
     180: 1
     181: 1
     182: 1
     183: 1
     184: 1
     185: 1
     186: 1
     188: 1
     190: 1
     192: 1
     194: 1
     196: 1
     200: 1
     202: 1
     204: 1
     206: 1
     208: 1
     210: 1
     212: 1
     214: q+1
     215: q+1
     216: q+1
     217: 1
     218: 1
     219: q+1
     220: q+1
     221: q+1
     222: q+1
     223: q+1
     224: 1
     225: q+1
     226: 1
     227: 1
     228: 1
     229: 1
     231: 1
     232: 1
     234: 1
     236: 1
     238: 1
     240: 1
     241: 1
     243: 1
     244: 1
     245: 1
     246: 1
     247: 1
     248: q+1
     249: q+1
     250: q+1
     251: q+1
     252: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     258: 1
     259: 1
     260: 1
     262: 1
     264: 1
     266: 1
     268: 1
     270: 1
     272: 1
     274: 1
     280: 1
     282: 1
     286: 1
     288: 1
     290: 1
     292: 1
     294: 1
     296: q+1
     297: 1
     298: q+1
     299: 1
     300: 1
     301: 1
     303: 1
     305: 1
     307: 1
     309: q+1
     310: q+1
     311: q+1
     312: 1
     313: 1
     314: q+1
     315: q+1
     316: 1
     317: 1
     318: 1
     319: 1
     320: 1
     321: 1
     325: 1
     327: 1
     329: 1
     331: 1
     333: 1
     334: 1
     335: 1
     336: 1
     338: 1
     339: 1
     340: 1
     341: 1
     342: 1
     343: 1
     344: 1
     345: 1
     346: 1
     348: 1
     350: 1
     352: 1
     354: 1
     356: 1
     358: 1
     360: 1
     362: 1
     364: 1
     366: 1
     368: 1
     378: 1
     380: 1
     382: 1
     390: 1
     391: q+1
     392: 1
     393: 1
     394: 1
     396: 1
     398: 1
     400: 1
     402: 1
     403: q+1
     404: 1
     405: q+1
     406: 1
     407: 1
     408: 1
     409: 1
     413: 1
     415: 1
     417: 1
     419: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     428: 1
     429: 1
     430: 1
     431: 1
     432: 1
     433: 1
     434: 1
     435: 1
     442: 1
     444: 1
     446: 1
     448: 1
     450: 1
     452: 1
     454: 1
     456: 1
     458: 1
     460: 1
     462: 1
     474: 1
     476: 1
     478: 1
     488: 1
     489: 1
     491: 1
     493: 1
     495: 1
     497: 1
     498: 1
     499: 1
     501: 1
     503: 1
     505: 1
     507: 1
     508: 1
     509: 1
     510: 1
     511: q+1
     512: 1
     513: 1
     514: 1
     516: 1
     521: 1
     522: 1
     525: 1
     526: 1
     527: 1
     528: 1
     535: 1
     537: 1
     539: 1
     541: 1
     543: 1
     545: 1
     549: 1
     551: 1
     553: 1
     555: 1
     557: 1
     559: 1
     573: 1
     587: 1
     589: 1
     591: 1
     593: 1
     595: 1
     596: 1
     597: 1
     598: 1
     599: 1
     600: 1
     601: 1
     602: 1
     607: 1
     611: 1
     612: 1
     613: 1
     614: 1
     627: 1
     629: 1
     631: 1
     633: 1
     641: 1
     643: 1
     645: 1
     647: 1
     649: 1
     673: 1
     675: 1
     677: 1
     679: 1
     681: 1
     682: 1
     683: 1
     684: 1
     685: 1
     686: 1
     687: 1
     707: 1
     709: 1
     711: 1
     719: 1
     721: 1
     723: 1
     725: 1
     751: 1
     752: 1
     753: 1
     779: 1
     785: 1
     787: 1
     806: 1
     828: 1

829:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       5: q+1
       6: q+1
       7: q+1
       8: q+1
       9: q+1
      10: q+1
      11: q+1
      12: q+1
      13: q+1
      14: q+1
      15: q+1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      20: q+1
      21: q+1
      22: q+1
      23: q+1
      24: q+1
      25: q+1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      30: q+1
      31: q+1
      32: q+1
      33: q+1
      34: q+1
      35: 1
      36: 1
      37: 1
      38: 1
      39: q+1
      40: q+1
      41: q+1
      42: q+1
      43: q+1
      44: q+1
      45: 1
      46: 1
      47: 1
      49: 1
      51: 1
      53: 1
      55: 1
      56: q+1
      57: q+1
      58: q+1
      59: q+1
      60: q+1
      61: q+1
      62: q+1
      63: q+1
      64: q+1
      65: q+1
      66: q+1
      67: q+1
      68: q+1
      69: q+1
      70: q+1
      71: q+1
      72: 1
      73: 1
      74: 1
      75: 1
      77: 1
      79: 1
      81: 1
      82: q+1
      83: q+1
      84: q+1
      85: q+1
      86: 1
      87: q+1
      89: 1
      91: 1
      93: 1
      95: 1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     100: 1
     101: 1
     102: 1
     103: 1
     104: q+1
     105: q+1
     106: q+1
     107: q+1
     108: q+1
     109: q+1
     110: q+1
     111: q+1
     112: q+1
     113: q+1
     114: q+1
     115: q+1
     116: 1
     117: 1
     118: 1
     119: 1
     120: 1
     121: 1
     122: 1
     123: 1
     125: 1
     127: 1
     129: 1
     131: 1
     133: 1
     134: q+1
     135: q+1
     137: 1
     139: 1
     141: 1
     143: 1
     144: q+1
     145: q+1
     146: 1
     147: q+1
     148: q+1
     149: q+1
     150: q+1
     151: 1
     152: q+1
     153: q+1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     160: 1
     161: 1
     163: 1
     165: 1
     167: 1
     169: 1
     170: q+1
     171: q+1
     172: q+1
     173: q+1
     174: q+1
     175: q+1
     176: q+1
     177: q+1
     178: 1
     179: 1
     180: 1
     181: 1
     182: 1
     183: 1
     184: 1
     185: 1
     187: 1
     189: 1
     191: 1
     193: 1
     195: 1
     197: 1
     201: 1
     203: 1
     205: 1
     207: 1
     209: 1
     211: 1
     213: 1
     214: q+1
     215: q+1
     216: q+1
     217: 1
     218: 1
     219: q+1
     220: q+1
     221: q+1
     222: q+1
     223: q+1
     224: 1
     225: q+1
     226: 1
     227: 1
     228: 1
     229: 1
     231: 1
     233: 1
     235: 1
     237: 1
     239: 1
     240: 1
     241: 1
     243: 1
     244: 1
     245: 1
     246: 1
     247: 1
     248: q+1
     249: q+1
     250: q+1
     251: q+1
     252: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     258: 1
     259: 1
     261: 1
     263: 1
     265: 1
     267: 1
     269: 1
     271: 1
     273: 1
     275: 1
     281: 1
     283: 1
     287: 1
     289: 1
     291: 1
     293: 1
     295: 1
     296: q+1
     297: 1
     298: q+1
     299: 1
     300: 1
     302: 1
     304: 1
     306: 1
     308: 1
     309: q+1
     310: q+1
     311: q+1
     312: 1
     313: 1
     314: q+1
     315: q+1
     316: 1
     317: 1
     318: 1
     319: 1
     320: 1
     321: 1
     326: 1
     328: 1
     330: 1
     332: 1
     333: 1
     334: 1
     335: 1
     336: 1
     338: 1
     339: 1
     340: 1
     341: 1
     342: 1
     343: 1
     344: 1
     345: 1
     347: 1
     349: 1
     351: 1
     353: 1
     355: 1
     357: 1
     359: 1
     361: 1
     363: 1
     365: 1
     367: 1
     369: 1
     379: 1
     381: 1
     383: 1
     390: 1
     391: q+1
     392: 1
     393: 1
     395: 1
     397: 1
     399: 1
     401: 1
     402: 1
     403: q+1
     404: 1
     405: q+1
     406: 1
     407: 1
     408: 1
     409: 1
     414: 1
     416: 1
     418: 1
     420: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     428: 1
     429: 1
     430: 1
     431: 1
     432: 1
     433: 1
     434: 1
     435: 1
     443: 1
     445: 1
     447: 1
     449: 1
     451: 1
     453: 1
     455: 1
     457: 1
     459: 1
     461: 1
     463: 1
     475: 1
     477: 1
     479: 1
     488: 1
     490: 1
     492: 1
     494: 1
     496: 1
     497: 1
     498: 1
     500: 1
     502: 1
     504: 1
     506: 1
     507: 1
     508: 1
     509: 1
     510: 1
     511: q+1
     512: 1
     513: 1
     514: 1
     516: 1
     521: 1
     522: 1
     525: 1
     526: 1
     527: 1
     528: 1
     536: 1
     538: 1
     540: 1
     542: 1
     544: 1
     546: 1
     550: 1
     552: 1
     554: 1
     556: 1
     558: 1
     560: 1
     574: 1
     588: 1
     590: 1
     592: 1
     594: 1
     595: 1
     596: 1
     597: 1
     598: 1
     599: 1
     600: 1
     601: 1
     602: 1
     607: 1
     611: 1
     612: 1
     613: 1
     614: 1
     628: 1
     630: 1
     632: 1
     634: 1
     642: 1
     644: 1
     646: 1
     648: 1
     650: 1
     674: 1
     676: 1
     678: 1
     680: 1
     681: 1
     682: 1
     683: 1
     684: 1
     685: 1
     686: 1
     687: 1
     708: 1
     710: 1
     712: 1
     720: 1
     722: 1
     724: 1
     726: 1
     751: 1
     752: 1
     753: 1
     780: 1
     786: 1
     788: 1
     806: 1
     829: 1

830:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       5: q+1
       6: q+1
       7: q+1
       8: q+1
       9: q+1
      10: q+1
      11: q+1
      12: q+1
      13: q+1
      14: q+1
      15: q+1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      20: q+1
      21: q+1
      22: q+1
      23: q+1
      24: q+1
      25: q+1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      30: q+1
      31: 1
      32: 1
      33: 1
      34: 1
      35: q+1
      36: q+1
      37: q+1
      38: q+1
      39: q+1
      40: q+1
      41: q+1
      42: 1
      43: 1
      44: 1
      45: q+1
      46: q+1
      47: q+1
      48: 1
      50: 1
      52: 1
      54: 1
      56: q+1
      57: q+1
      58: q+1
      59: q+1
      60: q+1
      61: q+1
      62: q+1
      63: q+1
      64: q+1
      65: q+1
      66: q+1
      67: q+1
      68: 1
      69: 1
      70: 1
      71: 1
      72: q+1
      73: q+1
      74: q+1
      75: q+1
      76: 1
      78: 1
      80: 1
      82: q+1
      83: q+1
      84: q+1
      85: q+1
      86: q+1
      87: 1
      88: 1
      90: 1
      92: 1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: q+1
     101: q+1
     102: q+1
     103: q+1
     104: q+1
     105: q+1
     106: q+1
     107: q+1
     108: q+1
     109: q+1
     110: q+1
     111: q+1
     112: 1
     113: 1
     114: 1
     115: 1
     116: q+1
     117: q+1
     118: q+1
     119: q+1
     120: 1
     121: 1
     122: 1
     123: 1
     124: 1
     126: 1
     128: 1
     130: 1
     132: 1
     134: q+1
     135: q+1
     136: 1
     138: 1
     140: 1
     142: 1
     144: q+1
     145: q+1
     146: q+1
     147: 1
     148: 1
     149: 1
     150: 1
     152: 1
     153: 1
     154: q+1
     155: q+1
     156: q+1
     157: q+1
     158: q+1
     159: 1
     160: 1
     161: 1
     162: 1
     164: 1
     166: 1
     168: 1
     170: q+1
     171: q+1
     172: q+1
     173: q+1
     174: 1
     175: 1
     176: 1
     177: 1
     178: q+1
     179: q+1
     180: q+1
     181: q+1
     182: 1
     183: 1
     184: 1
     185: 1
     186: 1
     188: 1
     190: 1
     192: 1
     194: 1
     198: 1
     200: 1
     202: 1
     204: 1
     206: 1
     208: 1
     210: 1
     212: 1
     214: q+1
     215: q+1
     216: q+1
     217: q+1
     218: q+1
     219: 1
     220: 1
     221: 1
     222: 1
     223: 1
     225: 1
     226: q+1
     227: q+1
     228: q+1
     229: q+1
     230: 1
     231: 1
     232: 1
     234: 1
     236: 1
     238: 1
     240: 1
     242: 1
     243: 1
     244: 1
     245: 1
     246: 1
     247: 1
     248: 1
     249: 1
     250: 1
     251: 1
     252: q+1
     253: q+1
     254: q+1
     255: q+1
     256: 1
     257: 1
     258: 1
     259: 1
     260: 1
     262: 1
     264: 1
     266: 1
     268: 1
     270: 1
     276: 1
     278: 1
     280: 1
     282: 1
     286: 1
     288: 1
     290: 1
     292: 1
     294: 1
     296: q+1
     297: q+1
     298: 1
     299: 1
     300: 1
     301: 1
     303: 1
     305: 1
     307: 1
     309: 1
     310: 1
     311: 1
     314: 1
     315: 1
     317: q+1
     318: q+1
     319: q+1
     320: q+1
     321: q+1
     322: 1
     323: 1
     324: 1
     325: 1
     327: 1
     329: 1
     331: 1
     333: 1
     334: 1
     335: 1
     337: 1
     338: 1
     339: 1
     340: 1
     341: 1
     342: 1
     343: 1
     344: 1
     345: 1
     346: 1
     348: 1
     350: 1
     352: 1
     354: 1
     356: 1
     358: 1
     360: 1
     370: 1
     372: 1
     374: 1
     376: 1
     378: 1
     380: 1
     382: 1
     390: q+1
     391: 1
     392: 1
     393: 1
     394: 1
     396: 1
     398: 1
     400: 1
     402: 1
     403: 1
     405: 1
     408: q+1
     409: q+1
     410: 1
     411: 1
     412: 1
     413: 1
     415: 1
     417: 1
     419: 1
     421: 1
     422: 1
     423: 1
     426: 1
     427: 1
     428: 1
     429: 1
     430: 1
     431: 1
     432: 1
     433: 1
     434: 1
     435: 1
     442: 1
     444: 1
     446: 1
     448: 1
     450: 1
     452: 1
     464: 1
     466: 1
     468: 1
     470: 1
     472: 1
     474: 1
     476: 1
     478: 1
     488: 1
     489: 1
     491: 1
     493: 1
     495: 1
     497: 1
     498: 1
     499: 1
     501: 1
     503: 1
     505: 1
     507: 1
     508: 1
     511: 1
     515: 1
     516: q+1
     517: 1
     518: 1
     519: 1
     520: 1
     521: 1
     523: 1
     525: 1
     526: 1
     527: 1
     528: 1
     535: 1
     537: 1
     539: 1
     541: 1
     543: 1
     545: 1
     561: 1
     563: 1
     565: 1
     567: 1
     569: 1
     571: 1
     573: 1
     587: 1
     589: 1
     591: 1
     593: 1
     595: 1
     596: 1
     597: 1
     598: 1
     603: 1
     604: 1
     605: 1
     606: 1
     608: 1
     611: 1
     612: 1
     613: 1
     614: 1
     627: 1
     629: 1
     631: 1
     633: 1
     651: 1
     653: 1
     655: 1
     657: 1
     659: 1
     673: 1
     675: 1
     677: 1
     679: 1
     681: 1
     682: 1
     683: 1
     688: 1
     689: 1
     690: 1
     691: 1
     707: 1
     709: 1
     711: 1
     727: 1
     729: 1
     731: 1
     733: 1
     751: 1
     754: 1
     755: 1
     779: 1
     789: 1
     791: 1
     807: 1
     830: 1

831:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       5: q+1
       6: q+1
       7: q+1
       8: q+1
       9: q+1
      10: q+1
      11: q+1
      12: q+1
      13: q+1
      14: q+1
      15: q+1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      20: q+1
      21: q+1
      22: q+1
      23: q+1
      24: q+1
      25: q+1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      30: q+1
      31: 1
      32: 1
      33: 1
      34: 1
      35: q+1
      36: q+1
      37: q+1
      38: q+1
      39: q+1
      40: q+1
      41: q+1
      42: 1
      43: 1
      44: 1
      45: q+1
      46: q+1
      47: q+1
      49: 1
      51: 1
      53: 1
      55: 1
      56: q+1
      57: q+1
      58: q+1
      59: q+1
      60: q+1
      61: q+1
      62: q+1
      63: q+1
      64: q+1
      65: q+1
      66: q+1
      67: q+1
      68: 1
      69: 1
      70: 1
      71: 1
      72: q+1
      73: q+1
      74: q+1
      75: q+1
      77: 1
      79: 1
      81: 1
      82: q+1
      83: q+1
      84: q+1
      85: q+1
      86: q+1
      87: 1
      89: 1
      91: 1
      93: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: q+1
     101: q+1
     102: q+1
     103: q+1
     104: q+1
     105: q+1
     106: q+1
     107: q+1
     108: q+1
     109: q+1
     110: q+1
     111: q+1
     112: 1
     113: 1
     114: 1
     115: 1
     116: q+1
     117: q+1
     118: q+1
     119: q+1
     120: 1
     121: 1
     122: 1
     123: 1
     125: 1
     127: 1
     129: 1
     131: 1
     133: 1
     134: q+1
     135: q+1
     137: 1
     139: 1
     141: 1
     143: 1
     144: q+1
     145: q+1
     146: q+1
     147: 1
     148: 1
     149: 1
     150: 1
     152: 1
     153: 1
     154: q+1
     155: q+1
     156: q+1
     157: q+1
     158: q+1
     159: 1
     160: 1
     161: 1
     163: 1
     165: 1
     167: 1
     169: 1
     170: q+1
     171: q+1
     172: q+1
     173: q+1
     174: 1
     175: 1
     176: 1
     177: 1
     178: q+1
     179: q+1
     180: q+1
     181: q+1
     182: 1
     183: 1
     184: 1
     185: 1
     187: 1
     189: 1
     191: 1
     193: 1
     195: 1
     199: 1
     201: 1
     203: 1
     205: 1
     207: 1
     209: 1
     211: 1
     213: 1
     214: q+1
     215: q+1
     216: q+1
     217: q+1
     218: q+1
     219: 1
     220: 1
     221: 1
     222: 1
     223: 1
     225: 1
     226: q+1
     227: q+1
     228: q+1
     229: q+1
     230: 1
     231: 1
     233: 1
     235: 1
     237: 1
     239: 1
     240: 1
     242: 1
     243: 1
     244: 1
     245: 1
     246: 1
     247: 1
     248: 1
     249: 1
     250: 1
     251: 1
     252: q+1
     253: q+1
     254: q+1
     255: q+1
     256: 1
     257: 1
     258: 1
     259: 1
     261: 1
     263: 1
     265: 1
     267: 1
     269: 1
     271: 1
     277: 1
     279: 1
     281: 1
     283: 1
     287: 1
     289: 1
     291: 1
     293: 1
     295: 1
     296: q+1
     297: q+1
     298: 1
     299: 1
     300: 1
     302: 1
     304: 1
     306: 1
     308: 1
     309: 1
     310: 1
     311: 1
     314: 1
     315: 1
     317: q+1
     318: q+1
     319: q+1
     320: q+1
     321: q+1
     322: 1
     323: 1
     324: 1
     326: 1
     328: 1
     330: 1
     332: 1
     333: 1
     334: 1
     335: 1
     337: 1
     338: 1
     339: 1
     340: 1
     341: 1
     342: 1
     343: 1
     344: 1
     345: 1
     347: 1
     349: 1
     351: 1
     353: 1
     355: 1
     357: 1
     359: 1
     361: 1
     371: 1
     373: 1
     375: 1
     377: 1
     379: 1
     381: 1
     383: 1
     390: q+1
     391: 1
     392: 1
     393: 1
     395: 1
     397: 1
     399: 1
     401: 1
     402: 1
     403: 1
     405: 1
     408: q+1
     409: q+1
     410: 1
     411: 1
     412: 1
     414: 1
     416: 1
     418: 1
     420: 1
     421: 1
     422: 1
     423: 1
     426: 1
     427: 1
     428: 1
     429: 1
     430: 1
     431: 1
     432: 1
     433: 1
     434: 1
     435: 1
     443: 1
     445: 1
     447: 1
     449: 1
     451: 1
     453: 1
     465: 1
     467: 1
     469: 1
     471: 1
     473: 1
     475: 1
     477: 1
     479: 1
     488: 1
     490: 1
     492: 1
     494: 1
     496: 1
     497: 1
     498: 1
     500: 1
     502: 1
     504: 1
     506: 1
     507: 1
     508: 1
     511: 1
     515: 1
     516: q+1
     517: 1
     518: 1
     519: 1
     520: 1
     521: 1
     523: 1
     525: 1
     526: 1
     527: 1
     528: 1
     536: 1
     538: 1
     540: 1
     542: 1
     544: 1
     546: 1
     562: 1
     564: 1
     566: 1
     568: 1
     570: 1
     572: 1
     574: 1
     588: 1
     590: 1
     592: 1
     594: 1
     595: 1
     596: 1
     597: 1
     598: 1
     603: 1
     604: 1
     605: 1
     606: 1
     608: 1
     611: 1
     612: 1
     613: 1
     614: 1
     628: 1
     630: 1
     632: 1
     634: 1
     652: 1
     654: 1
     656: 1
     658: 1
     660: 1
     674: 1
     676: 1
     678: 1
     680: 1
     681: 1
     682: 1
     683: 1
     688: 1
     689: 1
     690: 1
     691: 1
     708: 1
     710: 1
     712: 1
     728: 1
     730: 1
     732: 1
     734: 1
     751: 1
     754: 1
     755: 1
     780: 1
     790: 1
     792: 1
     807: 1
     831: 1

832:   0: q^3+8q^2+4q+1
       1: 2q^3+5q^2+4q+1
       2: q^3+8q^2+4q+1
       3: 2q^3+5q^2+4q+1
       4: q^3+8q^2+4q+1
       5: q^4+3q^3+3q^2+2q+1
       6: q^5+q^4+2q^3+3q^2+4q+1
       7: 2q^3+5q^2+4q+1
       8: q^3+8q^2+4q+1
       9: q^4+2q^3+2q^2+2q+1
      10: q^4+3q^3+3q^2+2q+1
      11: q^5+q^4+2q^3+3q^2+4q+1
      12: q^4+4q^3+6q^2+4q+1
      13: q^4+2q^3+2q^2+2q+1
      14: q^5+q^4+q^3+q^2+q+1
      15: 2q^3+3q^2+2q+1
      16: q^4+q^3+2q^2+2q+1
      17: 2q^3+3q^2+2q+1
      18: q^4+q^3+2q^2+2q+1
      19: 5q^2+4q+1
      20: q^3+3q^2+4q+1
      21: 5q^2+4q+1
      22: q^4+q^3+q^2+q+1
      23: q^3+8q^2+4q+1
      24: q^3+8q^2+4q+1
      25: q^5+q^4+2q^3+3q^2+4q+1
      26: q^4+2q^3+2q^2+2q+1
      27: 5q^2+4q+1
      28: q^3+3q^2+4q+1
      29: 2q^3+2q^2+2q+1
      30: q^3+6q^2+4q+1
      31: q^3+8q^2+4q+1
      32: 2q^3+5q^2+4q+1
      33: q^3+8q^2+4q+1
      34: q^4+3q^3+3q^2+2q+1
      35: q^3+8q^2+4q+1
      36: 2q^3+5q^2+4q+1
      37: q^3+8q^2+4q+1
      38: q^4+3q^3+3q^2+2q+1
      39: q^4+q^3+2q^2+2q+1
      40: q^3+2q^2+2q+1
      41: 3q^2+4q+1
      42: 2q^3+3q^2+2q+1
      43: 5q^2+4q+1
      44: q^3+8q^2+4q+1
      45: 2q^3+3q^2+2q+1
      46: 5q^2+4q+1
      47: q^3+8q^2+4q+1
      48: q^3+5q^2+3q+1
      49: 3q^2+q
      50: q^3+3q^2+3q+1
      51: q^3+2q^2+q
      52: q^3+5q^2+3q+1
      53: 3q^2+q
      54: q^3+2q^2+2q+1
      55: q^4+2q^3+q^2
      56: 3q^2+2q+1
      57: 2q^2+2q+1
      58: 3q^2+2q+1
      59: q^4+q^2+q+1
      60: 5q^2+4q+1
      61: 5q^2+4q+1
      62: q^3+3q^2+4q+1
      63: q^4+q^3+q^2+q+1
      64: 5q^2+4q+1
      65: q^3+3q^2+4q+1
      66: q^3+6q^2+4q+1
      67: 2q^3+2q^2+2q+1
      68: 5q^2+4q+1
      69: q^3+3q^2+4q+1
      70: q^3+6q^2+4q+1
      71: 2q^3+2q^2+2q+1
      72: 5q^2+4q+1
      73: q^3+3q^2+4q+1
      74: q^3+6q^2+4q+1
      75: 2q^3+2q^2+2q+1
      76: q^3+2q^2+2q+1
      77: q^3+q^2
      78: 3q^2+3q+1
      79: 2q^2+q
      80: q^3+5q^2+3q+1
      81: 3q^2+q
      82: q^2+q+1
      83: 3q^2+4q+1
      84: 2q^2+2q+1
      85: q^3+2q^2+2q+1
      86: 3q^2+4q+1
      87: 3q^2+4q+1
      88: 2q^2+3q+1
      89: q^2+q
      90: q^2+3q+1
      91: q^2+q
      92: q^3+3q^2+3q+1
      93: q^2+q
      94: q^2+2q+1
      95: q^3+q^2
      96: 3q^2+2q+1
      97: 5q^2+4q+1
      98: q^3+2q^2+2q+1
      99: 3q^2+4q+1
     100: 3q^2+2q+1
     101: 5q^2+4q+1
     102: q^3+2q^2+2q+1
     103: 3q^2+4q+1
     104: 3q^2+2q+1
     105: 3q^2+2q+1
     106: 2q^2+2q+1
     107: q^4+q^2+q+1
     108: 2q^2+4q+1
     109: 2q^2+4q+1
     110: 3q^2+4q+1
     111: q^3+q^2+q+1
     112: 5q^2+4q+1
     113: q^3+3q^2+4q+1
     114: q^3+6q^2+4q+1
     115: 2q^3+2q^2+2q+1
     116: 5q^2+4q+1
     117: q^3+3q^2+4q+1
     118: q^3+6q^2+4q+1
     119: 2q^3+2q^2+2q+1
     120: 5q^2+4q+1
     121: q^3+3q^2+4q+1
     122: q^3+6q^2+4q+1
     123: 2q^3+2q^2+2q+1
     124: q^2+3q+1
     125: q
     126: q^2+2q+1
     127: q^2
     128: q^2+3q+1
     129: q^2+q
     130: 2q^2+2q+1
     131: q^2
     132: 3q^2+3q+1
     133: 2q^2+q
     134: q^2+q+1
     135: 2q^2+2q+1
     136: 2q^2+3q+1
     137: q^2+q
     138: q^2+3q+1
     139: q^2+q
     140: q^3+3q^2+3q+1
     141: q^2+q
     142: q^2+2q+1
     143: q^3+q^2
     144: q^2+q+1
     145: 2q^2+4q+1
     146: q^2+4q+1
     147: q^2+4q+1
     148: 3q^2+2q+1
     149: 3q^2+4q+1
     150: q^3+2q^2+2q+1
     151: 3q^2+4q+1
     152: 2q^2+2q+1
     153: 3q^2+4q+1
     154: 3q^2+2q+1
     155: 3q^2+4q+1
     156: q^3+2q^2+2q+1
     157: 2q^2+2q+1
     158: 3q^2+4q+1
     159: 3q^2+4q+1
     160: q^3+2q^2+2q+1
     161: 3q^2+4q+1
     162: 2q^2+3q+1
     163: q^2+q
     164: q^2+3q+1
     165: q^2+q
     166: q^3+3q^2+3q+1
     167: q^2+q
     168: q^2+2q+1
     169: q^3+q^2
     170: 2q+1
     171: 2q+1
     172: q^2+2q+1
     173: q+1
     174: 2q^2+4q+1
     175: 2q^2+4q+1
     176: 3q^2+4q+1
     177: q^3+q^2+q+1
     178: 2q^2+4q+1
     179: 2q^2+4q+1
     180: 3q^2+4q+1
     181: q^3+q^2+q+1
     182: 5q^2+4q+1
     183: q^3+3q^2+4q+1
     184: q^3+6q^2+4q+1
     185: 2q^3+2q^2+2q+1
     186: q^2+3q+1
     187: q^2+q
     188: q^2+2q+1
     189: q^2
     190: q^2+3q+1
     191: q
     192: 3q+1
     193: q
     194: q^2+2q+1
     195: q^2
     196: q^2+3q+1
     197: q
     198: q^2+3q+1
     199: q
     200: 2q^2+2q+1
     201: q^2
     202: q^2+2q+1
     203: q^2
     204: q^2+3q+1
     205: q^2+q
     206: 2q+1
     208: 2q+1
     210: q^2+2q+1
     212: q+1
     214: q^2+q+1
     215: q+1
     216: 2q+1
     217: 2q+1
     218: q^2+4q+1
     219: 2q+1
     220: q^2+4q+1
     221: 2q^2+2q+1
     222: q^2+q+1
     223: 2q^2+4q+1
     224: q^2+4q+1
     225: q^2+4q+1
     226: 2q^2+2q+1
     227: q^2+q+1
     228: 2q^2+4q+1
     229: q^2+4q+1
     230: q^2+4q+1
     231: 3q^2+4q+1
     232: 2q^2+3q+1
     233: q^2+q
     234: q^2+3q+1
     235: q^2+q
     236: q^3+3q^2+3q+1
     237: q^2+q
     238: q^2+2q+1
     239: q^3+q^2
     240: q^3+2q^2+2q+1
     241: 3q^2+4q+1
     242: 3q^2+4q+1
     243: 2q^2+2q+1
     244: q^2+6q+1
     245: 2q^2+3q+1
     246: q^2+6q+1
     247: 2q^2+q+1
     248: 2q+1
     249: 2q+1
     250: q^2+2q+1
     251: q+1
     252: 2q+1
     253: 2q+1
     254: q^2+2q+1
     255: q+1
     256: 2q^2+4q+1
     257: 2q^2+4q+1
     258: 3q^2+4q+1
     259: q^3+q^2+q+1
     260: q+1
     262: 2q+1
     264: q^2+2q+1
     265: q^2
     266: 2q+1
     268: 3q+1
     269: q
     270: 2q+1
     272: q^2+3q+1
     273: q
     274: 3q+1
     275: q
     276: q^2+3q+1
     277: q
     278: 3q+1
     279: q
     280: q^2+3q+1
     281: q^2+q
     282: q^2+2q+1
     283: q^2
     284: q^2+3q+1
     285: q
     286: q^2+2q+1
     287: q^2
     296: q+1
     297: 2q+1
     298: 2q+1
     299: 3q+1
     300: 2q^2+q+1
     301: q^2+4q+1
     302: 2q
     303: q^2+2q+1
     304: q^2+q
     305: q^2+4q+1
     306: 2q
     307: q^2+q+1
     308: q^2
     309: q^2+q+1
     310: q+1
     311: 2q+1
     312: 2q+1
     313: q^2+4q+1
     314: 2q+1
     315: q^2+4q+1
     316: q^2+6q+1
     317: q^2+q+1
     318: q+1
     319: 2q+1
     320: 2q+1
     321: q^2+4q+1
     322: 2q+1
     323: q^2+4q+1
     324: q^2+6q+1
     325: 2q+1
     327: 2q+1
     329: q^2+2q+1
     331: q+1
     333: 2q^2+2q+1
     334: q^2+q+1
     335: 2q^2+4q+1
     336: q^2+4q+1
     337: q^2+4q+1
     338: 3q+1
     339: q^2+q+1
     340: 3q+1
     341: q^2+1
     342: 2q+1
     343: 2q+1
     344: q^2+2q+1
     345: q+1
     350: q+1
     354: 2q+1
     356: 2q+1
     358: 2q+1
     359: q
     360: q^2+q+1
     361: q^2
     362: 3q+1
     363: q
     364: 2q+1
     366: 2q+1
     368: q^2+4q+1
     369: 2q
     370: 3q+1
     371: q
     372: 2q+1
     374: 2q+1
     376: q^2+4q+1
     377: 2q
     378: q+1
     380: 2q+1
     382: q^2+2q+1
     383: q^2
     384: 3q+1
     385: q
     386: q^2+3q+1
     387: q
     388: q^2+4q+1
     389: 2q
     390: q+1
     391: q+1
     392: q+1
     393: q^2+1
     394: q+1
     396: 1
     398: q+1
     400: 1
     402: q+1
     403: q+1
     404: 2q+1
     405: 2q+1
     406: 3q+1
     407: 3q+1
     408: q+1
     409: 2q+1
     410: 2q+1
     411: 3q+1
     412: 3q+1
     421: q^2+q+1
     422: q+1
     423: 2q+1
     424: 2q+1
     425: q^2+4q+1
     426: 2q+1
     427: q^2+4q+1
     428: 3q+1
     429: q^2+q+1
     430: 3q+1
     431: q^2+1
     432: q+1
     433: 1
     434: q+1
     435: 1
     436: q^2+3q+1
     437: q
     439: q
     440: q
     444: q+1
     448: 1
     450: q+1
     452: 1
     454: 2q+1
     456: 2q+1
     460: 2q+1
     461: q
     462: q+1
     464: 2q+1
     466: 2q+1
     470: 2q+1
     471: q
     472: q+1
     478: q+1
     480: 3q+1
     481: q
     482: 2q+1
     484: 2q+1
     486: 2q+1
     487: q
     488: q^2+1
     489: q+1
     491: 1
     493: q+1
     495: 1
     497: q+1
     498: 1
     507: 1
     508: 1
     509: 3q+1
     510: q+1
     511: q+1
     512: q+1
     513: q+1
     514: q+1
     515: 3q+1
     516: q+1
     517: q+1
     518: q+1
     519: q+1
     520: q+1
     521: q+1
     522: 2q+1
     523: 2q+1
     524: 3q+1
     525: q+1
     526: 1
     527: q+1
     528: 1
     529: q+1
     535: 1
     539: 1
     541: 1
     547: 1
     549: q+1
     551: q+1
     555: 1
     557: q+1
     561: q+1
     563: q+1
     567: 1
     569: q+1
     575: 2q+1
     576: q
     577: 2q+1
     579: 2q+1
     583: 2q+1
     584: q
     585: q+1
     595: 1
     596: 1
     597: 1
     598: 1
     599: q+1
     600: q+1
     601: 1
     602: 1
     603: q+1
     604: q+1
     605: 1
     606: 1
     607: q+1
     608: q+1
     609: q+1
     610: q+1
     615: q+1
     629: 1
     635: 1
     637: 2
     639: 1
     645: 1
     647: 1
     655: 1
     657: 1
     661: q+1
     663: q+1
     667: 1
     669: q+1
     671: 1
     683: 1
     685: 1
     686: 1
     687: 1
     689: 1
     690: 1
     691: 1
     692: 1
     693: q+1
     694: 1
     695: 1
     697: 1
     713: 1
     717: 1
     721: 1
     729: 1
     739: 1
     743: 1
     745: 1
     747: 2
     749: 1
     752: 1
     754: 1
     756: 1
     757: 1
     758: 1
     771: 1
     773: 1
     777: 1
     793: 1
     799: 1
     803: 1
     808: 1
     832: 1

833:   0: q^3+8q^2+4q+1
       1: 2q^3+5q^2+4q+1
       2: q^3+8q^2+4q+1
       3: 2q^3+5q^2+4q+1
       4: q^3+8q^2+4q+1
       5: q^4+3q^3+3q^2+2q+1
       6: q^5+q^4+2q^3+3q^2+4q+1
       7: 2q^3+5q^2+4q+1
       8: q^3+8q^2+4q+1
       9: q^4+2q^3+2q^2+2q+1
      10: q^4+3q^3+3q^2+2q+1
      11: q^5+q^4+2q^3+3q^2+4q+1
      12: q^4+4q^3+6q^2+4q+1
      13: q^4+2q^3+2q^2+2q+1
      14: q^5+q^4+q^3+q^2+q+1
      15: 2q^3+3q^2+2q+1
      16: q^4+q^3+2q^2+2q+1
      17: 2q^3+3q^2+2q+1
      18: q^4+q^3+2q^2+2q+1
      19: 5q^2+4q+1
      20: q^3+3q^2+4q+1
      21: 5q^2+4q+1
      22: q^4+q^3+q^2+q+1
      23: q^3+8q^2+4q+1
      24: q^3+8q^2+4q+1
      25: q^5+q^4+2q^3+3q^2+4q+1
      26: q^4+2q^3+2q^2+2q+1
      27: 5q^2+4q+1
      28: q^3+3q^2+4q+1
      29: 2q^3+2q^2+2q+1
      30: q^3+6q^2+4q+1
      31: q^3+8q^2+4q+1
      32: 2q^3+5q^2+4q+1
      33: q^3+8q^2+4q+1
      34: q^4+3q^3+3q^2+2q+1
      35: q^3+8q^2+4q+1
      36: 2q^3+5q^2+4q+1
      37: q^3+8q^2+4q+1
      38: q^4+3q^3+3q^2+2q+1
      39: q^4+q^3+2q^2+2q+1
      40: q^3+2q^2+2q+1
      41: 3q^2+4q+1
      42: 2q^3+3q^2+2q+1
      43: 5q^2+4q+1
      44: q^3+8q^2+4q+1
      45: 2q^3+3q^2+2q+1
      46: 5q^2+4q+1
      47: q^3+8q^2+4q+1
      48: 3q^2+q
      49: q^3+5q^2+3q+1
      50: q^3+2q^2+q
      51: q^3+3q^2+3q+1
      52: 3q^2+q
      53: q^3+5q^2+3q+1
      54: q^4+2q^3+q^2
      55: q^3+2q^2+2q+1
      56: 3q^2+2q+1
      57: 2q^2+2q+1
      58: 3q^2+2q+1
      59: q^4+q^2+q+1
      60: 5q^2+4q+1
      61: 5q^2+4q+1
      62: q^3+3q^2+4q+1
      63: q^4+q^3+q^2+q+1
      64: 5q^2+4q+1
      65: q^3+3q^2+4q+1
      66: q^3+6q^2+4q+1
      67: 2q^3+2q^2+2q+1
      68: 5q^2+4q+1
      69: q^3+3q^2+4q+1
      70: q^3+6q^2+4q+1
      71: 2q^3+2q^2+2q+1
      72: 5q^2+4q+1
      73: q^3+3q^2+4q+1
      74: q^3+6q^2+4q+1
      75: 2q^3+2q^2+2q+1
      76: q^3+q^2
      77: q^3+2q^2+2q+1
      78: 2q^2+q
      79: 3q^2+3q+1
      80: 3q^2+q
      81: q^3+5q^2+3q+1
      82: q^2+q+1
      83: 3q^2+4q+1
      84: 2q^2+2q+1
      85: q^3+2q^2+2q+1
      86: 3q^2+4q+1
      87: 3q^2+4q+1
      88: q^2+q
      89: 2q^2+3q+1
      90: q^2+q
      91: q^2+3q+1
      92: q^2+q
      93: q^3+3q^2+3q+1
      94: q^3+q^2
      95: q^2+2q+1
      96: 3q^2+2q+1
      97: 5q^2+4q+1
      98: q^3+2q^2+2q+1
      99: 3q^2+4q+1
     100: 3q^2+2q+1
     101: 5q^2+4q+1
     102: q^3+2q^2+2q+1
     103: 3q^2+4q+1
     104: 3q^2+2q+1
     105: 3q^2+2q+1
     106: 2q^2+2q+1
     107: q^4+q^2+q+1
     108: 2q^2+4q+1
     109: 2q^2+4q+1
     110: 3q^2+4q+1
     111: q^3+q^2+q+1
     112: 5q^2+4q+1
     113: q^3+3q^2+4q+1
     114: q^3+6q^2+4q+1
     115: 2q^3+2q^2+2q+1
     116: 5q^2+4q+1
     117: q^3+3q^2+4q+1
     118: q^3+6q^2+4q+1
     119: 2q^3+2q^2+2q+1
     120: 5q^2+4q+1
     121: q^3+3q^2+4q+1
     122: q^3+6q^2+4q+1
     123: 2q^3+2q^2+2q+1
     124: q
     125: q^2+3q+1
     126: q^2
     127: q^2+2q+1
     128: q^2+q
     129: q^2+3q+1
     130: q^2
     131: 2q^2+2q+1
     132: 2q^2+q
     133: 3q^2+3q+1
     134: q^2+q+1
     135: 2q^2+2q+1
     136: q^2+q
     137: 2q^2+3q+1
     138: q^2+q
     139: q^2+3q+1
     140: q^2+q
     141: q^3+3q^2+3q+1
     142: q^3+q^2
     143: q^2+2q+1
     144: q^2+q+1
     145: 2q^2+4q+1
     146: q^2+4q+1
     147: q^2+4q+1
     148: 3q^2+2q+1
     149: 3q^2+4q+1
     150: q^3+2q^2+2q+1
     151: 3q^2+4q+1
     152: 2q^2+2q+1
     153: 3q^2+4q+1
     154: 3q^2+2q+1
     155: 3q^2+4q+1
     156: q^3+2q^2+2q+1
     157: 2q^2+2q+1
     158: 3q^2+4q+1
     159: 3q^2+4q+1
     160: q^3+2q^2+2q+1
     161: 3q^2+4q+1
     162: q^2+q
     163: 2q^2+3q+1
     164: q^2+q
     165: q^2+3q+1
     166: q^2+q
     167: q^3+3q^2+3q+1
     168: q^3+q^2
     169: q^2+2q+1
     170: 2q+1
     171: 2q+1
     172: q^2+2q+1
     173: q+1
     174: 2q^2+4q+1
     175: 2q^2+4q+1
     176: 3q^2+4q+1
     177: q^3+q^2+q+1
     178: 2q^2+4q+1
     179: 2q^2+4q+1
     180: 3q^2+4q+1
     181: q^3+q^2+q+1
     182: 5q^2+4q+1
     183: q^3+3q^2+4q+1
     184: q^3+6q^2+4q+1
     185: 2q^3+2q^2+2q+1
     186: q^2+q
     187: q^2+3q+1
     188: q^2
     189: q^2+2q+1
     190: q
     191: q^2+3q+1
     192: q
     193: 3q+1
     194: q^2
     195: q^2+2q+1
     196: q
     197: q^2+3q+1
     198: q
     199: q^2+3q+1
     200: q^2
     201: 2q^2+2q+1
     202: q^2
     203: q^2+2q+1
     204: q^2+q
     205: q^2+3q+1
     207: 2q+1
     209: 2q+1
     211: q^2+2q+1
     213: q+1
     214: q^2+q+1
     215: q+1
     216: 2q+1
     217: 2q+1
     218: q^2+4q+1
     219: 2q+1
     220: q^2+4q+1
     221: 2q^2+2q+1
     222: q^2+q+1
     223: 2q^2+4q+1
     224: q^2+4q+1
     225: q^2+4q+1
     226: 2q^2+2q+1
     227: q^2+q+1
     228: 2q^2+4q+1
     229: q^2+4q+1
     230: q^2+4q+1
     231: 3q^2+4q+1
     232: q^2+q
     233: 2q^2+3q+1
     234: q^2+q
     235: q^2+3q+1
     236: q^2+q
     237: q^3+3q^2+3q+1
     238: q^3+q^2
     239: q^2+2q+1
     240: q^3+2q^2+2q+1
     241: 3q^2+4q+1
     242: 3q^2+4q+1
     243: 2q^2+2q+1
     244: q^2+6q+1
     245: 2q^2+3q+1
     246: q^2+6q+1
     247: 2q^2+q+1
     248: 2q+1
     249: 2q+1
     250: q^2+2q+1
     251: q+1
     252: 2q+1
     253: 2q+1
     254: q^2+2q+1
     255: q+1
     256: 2q^2+4q+1
     257: 2q^2+4q+1
     258: 3q^2+4q+1
     259: q^3+q^2+q+1
     261: q+1
     263: 2q+1
     264: q^2
     265: q^2+2q+1
     267: 2q+1
     268: q
     269: 3q+1
     271: 2q+1
     272: q
     273: q^2+3q+1
     274: q
     275: 3q+1
     276: q
     277: q^2+3q+1
     278: q
     279: 3q+1
     280: q^2+q
     281: q^2+3q+1
     282: q^2
     283: q^2+2q+1
     284: q
     285: q^2+3q+1
     286: q^2
     287: q^2+2q+1
     296: q+1
     297: 2q+1
     298: 2q+1
     299: 3q+1
     300: 2q^2+q+1
     301: 2q
     302: q^2+4q+1
     303: q^2+q
     304: q^2+2q+1
     305: 2q
     306: q^2+4q+1
     307: q^2
     308: q^2+q+1
     309: q^2+q+1
     310: q+1
     311: 2q+1
     312: 2q+1
     313: q^2+4q+1
     314: 2q+1
     315: q^2+4q+1
     316: q^2+6q+1
     317: q^2+q+1
     318: q+1
     319: 2q+1
     320: 2q+1
     321: q^2+4q+1
     322: 2q+1
     323: q^2+4q+1
     324: q^2+6q+1
     326: 2q+1
     328: 2q+1
     330: q^2+2q+1
     332: q+1
     333: 2q^2+2q+1
     334: q^2+q+1
     335: 2q^2+4q+1
     336: q^2+4q+1
     337: q^2+4q+1
     338: 3q+1
     339: q^2+q+1
     340: 3q+1
     341: q^2+1
     342: 2q+1
     343: 2q+1
     344: q^2+2q+1
     345: q+1
     351: q+1
     355: 2q+1
     357: 2q+1
     358: q
     359: 2q+1
     360: q^2
     361: q^2+q+1
     362: q
     363: 3q+1
     365: 2q+1
     367: 2q+1
     368: 2q
     369: q^2+4q+1
     370: q
     371: 3q+1
     373: 2q+1
     375: 2q+1
     376: 2q
     377: q^2+4q+1
     379: q+1
     381: 2q+1
     382: q^2
     383: q^2+2q+1
     384: q
     385: 3q+1
     386: q
     387: q^2+3q+1
     388: 2q
     389: q^2+4q+1
     390: q+1
     391: q+1
     392: q+1
     393: q^2+1
     395: q+1
     397: 1
     399: q+1
     401: 1
     402: q+1
     403: q+1
     404: 2q+1
     405: 2q+1
     406: 3q+1
     407: 3q+1
     408: q+1
     409: 2q+1
     410: 2q+1
     411: 3q+1
     412: 3q+1
     421: q^2+q+1
     422: q+1
     423: 2q+1
     424: 2q+1
     425: q^2+4q+1
     426: 2q+1
     427: q^2+4q+1
     428: 3q+1
     429: q^2+q+1
     430: 3q+1
     431: q^2+1
     432: q+1
     433: 1
     434: q+1
     435: 1
     436: q
     437: q
     439: q
     440: q^2+3q+1
     445: q+1
     449: 1
     451: q+1
     453: 1
     455: 2q+1
     457: 2q+1
     460: q
     461: 2q+1
     463: q+1
     465: 2q+1
     467: 2q+1
     470: q
     471: 2q+1
     473: q+1
     479: q+1
     480: q
     481: 3q+1
     483: 2q+1
     485: 2q+1
     486: q
     487: 2q+1
     488: q^2+1
     490: q+1
     492: 1
     494: q+1
     496: 1
     497: q+1
     498: 1
     507: 1
     508: 1
     509: 3q+1
     510: q+1
     511: q+1
     512: q+1
     513: q+1
     514: q+1
     515: 3q+1
     516: q+1
     517: q+1
     518: q+1
     519: q+1
     520: q+1
     521: q+1
     522: 2q+1
     523: 2q+1
     524: 3q+1
     525: q+1
     526: 1
     527: q+1
     528: 1
     533: q+1
     536: 1
     540: 1
     542: 1
     548: 1
     550: q+1
     552: q+1
     556: 1
     558: q+1
     562: q+1
     564: q+1
     568: 1
     570: q+1
     575: q
     576: 2q+1
     578: 2q+1
     580: 2q+1
     583: q
     584: 2q+1
     586: q+1
     595: 1
     596: 1
     597: 1
     598: 1
     599: q+1
     600: q+1
     601: 1
     602: 1
     603: q+1
     604: q+1
     605: 1
     606: 1
     607: q+1
     608: q+1
     609: q+1
     610: q+1
     619: q+1
     630: 1
     636: 1
     638: 2
     640: 1
     646: 1
     648: 1
     656: 1
     658: 1
     662: q+1
     664: q+1
     668: 1
     670: q+1
     672: 1
     683: 1
     685: 1
     686: 1
     687: 1
     689: 1
     690: 1
     691: 1
     692: 1
     693: q+1
     694: 1
     699: 1
     700: 1
     714: 1
     718: 1
     722: 1
     730: 1
     740: 1
     744: 1
     746: 1
     748: 2
     750: 1
     752: 1
     754: 1
     756: 1
     757: 1
     758: 1
     775: 1
     776: 1
     778: 1
     794: 1
     800: 1
     804: 1
     808: 1
     833: 1

834:   0: 3q^2+4q+1
       1: 2q^3+q^2+4q+1
       2: 3q^2+4q+1
       3: q^3+3q^2+3q+1
       4: 3q^2+4q+1
       5: 2q^3+q^2+4q+1
       6: q^4+q^3+2q^2+3q+1
       7: 2q^3+q^2+4q+1
       8: 3q^2+4q+1
       9: q^4+q^3+2q^2+3q+1
      10: 2q^3+q^2+4q+1
      11: q^4+q^3+2q^2+3q+1
      12: q^3+3q^2+3q+1
      13: q^4+q^3+2q^2+3q+1
      14: q^5+2q^4+q^3+q^2+2q+1
      15: 2q^3+q^2+4q+1
      16: q^4+q^3+2q^2+3q+1
      17: 2q^3+q^2+4q+1
      18: q^4+q^3+2q^2+3q+1
      19: q^2+4q+1
      20: 2q^2+3q+1
      21: q^2+4q+1
      22: q^4+q^3+q^2+2q+1
      23: 3q^2+4q+1
      24: 3q^2+4q+1
      25: q^4+q^3+2q^2+3q+1
      26: q^4+q^3+2q^2+3q+1
      27: 2q^2+3q+1
      28: q^3+q^2+3q+1
      29: q^3+q^2+3q+1
      30: 2q^2+3q+1
      31: 3q^2+4q+1
      32: 2q^3+q^2+4q+1
      33: 3q^2+4q+1
      34: 2q^3+q^2+4q+1
      35: 3q^2+4q+1
      36: 2q^3+q^2+4q+1
      37: 3q^2+4q+1
      38: 2q^3+q^2+4q+1
      39: q^4+q^3+2q^2+3q+1
      40: q^3+q^2+3q+1
      41: q^2+3q+1
      42: 2q^3+q^2+4q+1
      43: q^2+4q+1
      44: 3q^2+4q+1
      45: 2q^3+q^2+4q+1
      46: q^2+4q+1
      47: 3q^2+4q+1
      48: 2q^2+3q+1
      49: q^2+q
      50: q^3+q^2+3q+1
      51: q^3+q
      52: 2q^2+3q+1
      53: q^2+q
      54: q^3+q^2+3q+1
      55: q^3+q
      56: q^2+4q+1
      57: 2q^2+3q+1
      58: q^2+4q+1
      59: q^4+q^3+q^2+2q+1
      60: q^2+4q+1
      61: q^2+4q+1
      62: 2q^2+3q+1
      63: q^4+q^3+q^2+2q+1
      64: 2q^2+3q+1
      65: q^3+q^2+3q+1
      66: 2q^2+3q+1
      67: q^3+q^2+3q+1
      68: 2q^2+3q+1
      69: q^3+q^2+3q+1
      70: 2q^2+3q+1
      71: q^3+q^2+3q+1
      72: 2q^2+3q+1
      73: q^3+q^2+3q+1
      74: 2q^2+3q+1
      75: q^3+q^2+3q+1
      76: q^3+q^2+3q+1
      77: q^3+q
      78: q^2+3q+1
      79: q
      80: 2q^2+3q+1
      81: q^2+q
      82: q^2+2q+1
      83: q^2+3q+1
      84: q^2+3q+1
      85: q^3+q^2+3q+1
      86: q^2+2q+1
      87: q^2+2q+1
      88: q^2+2q+1
      90: q^2+2q+1
      92: q^2+2q+1
      94: q^2+2q+1
      96: q^2+4q+1
      97: q^2+4q+1
      98: q^3+q^2+3q+1
      99: q^2+3q+1
     100: q^2+4q+1
     101: q^2+4q+1
     102: q^3+q^2+3q+1
     103: q^2+3q+1
     104: q^2+4q+1
     105: q^2+4q+1
     106: 2q^2+3q+1
     107: q^4+q^3+q^2+2q+1
     108: 3q+1
     109: 3q+1
     110: 3q+1
     111: q^3+2q+1
     112: 2q^2+3q+1
     113: q^3+q^2+3q+1
     114: 2q^2+3q+1
     115: q^3+q^2+3q+1
     116: 2q^2+3q+1
     117: q^3+q^2+3q+1
     118: 2q^2+3q+1
     119: q^3+q^2+3q+1
     120: 2q^2+3q+1
     121: q^3+q^2+3q+1
     122: 2q^2+3q+1
     123: q^3+q^2+3q+1
     124: q+1
     126: q^2+2q+1
     128: q^2+2q+1
     130: q^2+3q+1
     131: q
     132: q^2+3q+1
     133: q
     134: q^2+2q+1
     135: q^2+3q+1
     136: q^2+2q+1
     138: q^2+2q+1
     140: q^2+2q+1
     142: q^2+2q+1
     144: 2q+1
     145: 3q+1
     146: 2q+1
     147: 2q+1
     148: q^2+4q+1
     149: q^2+3q+1
     150: q^3+q^2+3q+1
     151: q^2+2q+1
     152: q^2+3q+1
     153: q^2+2q+1
     154: q^2+4q+1
     155: q^2+3q+1
     156: q^3+q^2+3q+1
     157: q^2+3q+1
     158: q^2+2q+1
     159: q^2+2q+1
     160: q^3+q^2+3q+1
     161: q^2+3q+1
     162: q^2+2q+1
     164: q^2+2q+1
     166: q^2+2q+1
     168: q^2+2q+1
     170: 3q+1
     171: 3q+1
     172: 3q+1
     173: q^3+2q+1
     174: 3q+1
     175: 3q+1
     176: 3q+1
     177: q^3+2q+1
     178: 3q+1
     179: 3q+1
     180: 3q+1
     181: q^3+2q+1
     182: 2q^2+3q+1
     183: q^3+q^2+3q+1
     184: 2q^2+3q+1
     185: q^3+q^2+3q+1
     186: q^2+2q+1
     188: q^2+2q+1
     190: q+1
     192: q+1
     194: q^2+2q+1
     196: q+1
     198: q+1
     200: q^2+3q+1
     201: q
     202: q^2+2q+1
     204: q^2+2q+1
     206: q+1
     208: q+1
     210: q+1
     212: q+1
     214: 2q+1
     215: 2q+1
     216: 3q+1
     217: 2q+1
     218: 2q+1
     219: 2q+1
     220: 2q+1
     221: q^2+3q+1
     222: 2q+1
     223: 3q+1
     224: 2q+1
     225: 2q+1
     226: q^2+3q+1
     227: 2q+1
     228: 3q+1
     229: 2q+1
     230: 2q+1
     231: q^2+3q+1
     232: q^2+2q+1
     234: q^2+2q+1
     236: q^2+2q+1
     238: q^2+2q+1
     240: q^3+q^2+3q+1
     241: q^2+2q+1
     242: q^2+2q+1
     243: q^2+3q+1
     244: 2q+2
     245: q^2+2q+1
     246: 2q+2
     247: q^2+2q+1
     248: 3q+1
     249: 3q+1
     250: 3q+1
     251: q^3+2q+1
     252: 3q+1
     253: 3q+1
     254: 3q+1
     255: q^3+2q+1
     256: 3q+1
     257: 3q+1
     258: 3q+1
     259: q^3+2q+1
     260: q+1
     262: q+1
     264: q^2+2q+1
     266: 1
     268: q+1
     270: q+1
     272: q+1
     274: q+1
     276: q+1
     278: q+1
     280: q^2+2q+1
     282: q^2+2q+1
     284: q+1
     286: q^2+2q+1
     288: q+1
     290: q+1
     292: q+1
     294: q+1
     296: 2q+1
     297: 2q+1
     298: 2q+1
     299: q+1
     300: q^2+2q+1
     301: 2q+2
     303: q^2+2q+1
     305: 2q+2
     307: q^2+2q+1
     309: 2q+1
     310: 2q+1
     311: 3q+1
     312: 2q+1
     313: 2q+1
     314: 2q+1
     315: 2q+1
     316: 2q+2
     317: 2q+1
     318: 2q+1
     319: 3q+1
     320: 2q+1
     321: 2q+1
     322: 2q+1
     323: 2q+1
     324: 2q+2
     325: q+1
     327: q+1
     329: q+1
     331: q+1
     333: q^2+3q+1
     334: 2q+1
     335: 3q+1
     336: 2q+1
     337: 2q+1
     338: 2
     339: q+1
     340: 2
     341: q+1
     342: 3q+1
     343: 3q+1
     344: 3q+1
     345: q^3+2q+1
     346: q+1
     348: q+1
     350: q+1
     352: 1
     354: 1
     356: q+1
     358: q+1
     360: q^2+2q+1
     362: q+1
     364: 1
     366: q+1
     368: 2q+2
     370: q+1
     372: 1
     374: q+1
     376: 2q+2
     378: q+1
     380: q+1
     382: q^2+2q+1
     384: q+1
     386: q+1
     388: q+1
     389: q+1
     390: q+1
     391: q+1
     392: q+1
     393: q+1
     394: 2
     396: q+1
     398: 2
     400: q+1
     402: 1
     403: 2q+1
     404: 2q+1
     405: 2q+1
     406: q+1
     407: 2
     408: 2q+1
     409: 2q+1
     410: 2q+1
     411: q+1
     412: 2
     413: q+1
     415: q+1
     417: q+1
     419: q+1
     421: 2q+1
     422: 2q+1
     423: 3q+1
     424: 2q+1
     425: 2q+1
     426: 2q+1
     427: 2q+1
     428: 2
     429: q+1
     430: 2
     431: q+1
     432: 2
     433: q+1
     434: 2
     435: q+1
     436: q+1
     439: q+1
     442: q+1
     444: 1
     446: 1
     448: 1
     450: q+1
     452: q+1
     454: 1
     456: q+1
     458: 1
     460: q+1
     462: 2
     464: 1
     466: q+1
     468: 1
     470: q+1
     472: 2
     474: q+1
     476: q+1
     478: q+1
     480: q+1
     482: 1
     484: q+1
     486: 1
     487: 1
     488: q+1
     489: 2
     491: q+1
     493: 2
     495: q+1
     497: 1
     498: 1
     499: 2
     501: q+1
     503: 2
     505: q+1
     507: q+1
     508: 1
     509: 2
     510: q+1
     511: q+1
     512: q+1
     513: 2
     514: 1
     515: 2
     516: q+1
     517: q+1
     518: q+1
     519: 2
     520: 1
     521: 2q+1
     522: 2q+1
     523: 2q+1
     524: q+1
     525: 2
     526: q+1
     527: 2
     528: q+1
     529: 1
     532: 1
     535: q+1
     537: 1
     539: 1
     541: 1
     543: 1
     545: q+1
     549: 2
     551: 1
     553: 1
     555: 1
     557: q+1
     559: 2
     561: 2
     563: 1
     565: 1
     567: 1
     569: q+1
     571: 2
     573: q+1
     575: 1
     576: 1
     577: 1
     579: q+1
     581: 1
     583: q+1
     585: 1
     586: 1
     587: 2
     589: q+1
     591: 2
     593: q+1
     595: q+1
     596: 1
     597: 1
     598: 1
     599: 2
     600: 1
     601: 1
     602: 1
     603: 2
     604: 1
     605: 1
     606: 1
     607: q+1
     608: q+1
     609: q+1
     610: 1
     615: 1
     618: 1
     621: 1
     624: 1
     627: q+1
     629: 1
     631: 1
     633: 1
     641: 2
     643: 1
     645: 1
     647: 1
     649: 1
     651: 2
     653: 1
     655: 1
     657: 1
     659: 1
     661: 1
     662: 1
     663: 1
     665: 1
     667: 1
     669: q+1
     683: 1
     685: 1
     686: 1
     687: 1
     689: 1
     690: 1
     691: 1
     692: 1
     693: 1
     694: 1
     701: 1
     704: 1
     711: 1
     721: 1
     723: 1
     725: 1
     729: 1
     731: 1
     733: 1
     737: 1
     739: 1
     741: 1
     743: 1
     752: 1
     754: 1
     756: 1
     757: 1
     758: 1
     785: 1
     789: 1
     793: 1
     795: 1
     797: 1
     808: 1
     834: 1

835:   0: 3q^2+4q+1
       1: 2q^3+q^2+4q+1
       2: 3q^2+4q+1
       3: q^3+3q^2+3q+1
       4: 3q^2+4q+1
       5: 2q^3+q^2+4q+1
       6: q^4+q^3+2q^2+3q+1
       7: 2q^3+q^2+4q+1
       8: 3q^2+4q+1
       9: q^4+q^3+2q^2+3q+1
      10: 2q^3+q^2+4q+1
      11: q^4+q^3+2q^2+3q+1
      12: q^3+3q^2+3q+1
      13: q^4+q^3+2q^2+3q+1
      14: q^5+2q^4+q^3+q^2+2q+1
      15: 2q^3+q^2+4q+1
      16: q^4+q^3+2q^2+3q+1
      17: 2q^3+q^2+4q+1
      18: q^4+q^3+2q^2+3q+1
      19: q^2+4q+1
      20: 2q^2+3q+1
      21: q^2+4q+1
      22: q^4+q^3+q^2+2q+1
      23: 3q^2+4q+1
      24: 3q^2+4q+1
      25: q^4+q^3+2q^2+3q+1
      26: q^4+q^3+2q^2+3q+1
      27: 2q^2+3q+1
      28: q^3+q^2+3q+1
      29: q^3+q^2+3q+1
      30: 2q^2+3q+1
      31: 3q^2+4q+1
      32: 2q^3+q^2+4q+1
      33: 3q^2+4q+1
      34: 2q^3+q^2+4q+1
      35: 3q^2+4q+1
      36: 2q^3+q^2+4q+1
      37: 3q^2+4q+1
      38: 2q^3+q^2+4q+1
      39: q^4+q^3+2q^2+3q+1
      40: q^3+q^2+3q+1
      41: q^2+3q+1
      42: 2q^3+q^2+4q+1
      43: q^2+4q+1
      44: 3q^2+4q+1
      45: 2q^3+q^2+4q+1
      46: q^2+4q+1
      47: 3q^2+4q+1
      48: q^2+q
      49: 2q^2+3q+1
      50: q^3+q
      51: q^3+q^2+3q+1
      52: q^2+q
      53: 2q^2+3q+1
      54: q^3+q
      55: q^3+q^2+3q+1
      56: q^2+4q+1
      57: 2q^2+3q+1
      58: q^2+4q+1
      59: q^4+q^3+q^2+2q+1
      60: q^2+4q+1
      61: q^2+4q+1
      62: 2q^2+3q+1
      63: q^4+q^3+q^2+2q+1
      64: 2q^2+3q+1
      65: q^3+q^2+3q+1
      66: 2q^2+3q+1
      67: q^3+q^2+3q+1
      68: 2q^2+3q+1
      69: q^3+q^2+3q+1
      70: 2q^2+3q+1
      71: q^3+q^2+3q+1
      72: 2q^2+3q+1
      73: q^3+q^2+3q+1
      74: 2q^2+3q+1
      75: q^3+q^2+3q+1
      76: q^3+q
      77: q^3+q^2+3q+1
      78: q
      79: q^2+3q+1
      80: q^2+q
      81: 2q^2+3q+1
      82: q^2+2q+1
      83: q^2+3q+1
      84: q^2+3q+1
      85: q^3+q^2+3q+1
      86: q^2+2q+1
      87: q^2+2q+1
      89: q^2+2q+1
      91: q^2+2q+1
      93: q^2+2q+1
      95: q^2+2q+1
      96: q^2+4q+1
      97: q^2+4q+1
      98: q^3+q^2+3q+1
      99: q^2+3q+1
     100: q^2+4q+1
     101: q^2+4q+1
     102: q^3+q^2+3q+1
     103: q^2+3q+1
     104: q^2+4q+1
     105: q^2+4q+1
     106: 2q^2+3q+1
     107: q^4+q^3+q^2+2q+1
     108: 3q+1
     109: 3q+1
     110: 3q+1
     111: q^3+2q+1
     112: 2q^2+3q+1
     113: q^3+q^2+3q+1
     114: 2q^2+3q+1
     115: q^3+q^2+3q+1
     116: 2q^2+3q+1
     117: q^3+q^2+3q+1
     118: 2q^2+3q+1
     119: q^3+q^2+3q+1
     120: 2q^2+3q+1
     121: q^3+q^2+3q+1
     122: 2q^2+3q+1
     123: q^3+q^2+3q+1
     125: q+1
     127: q^2+2q+1
     129: q^2+2q+1
     130: q
     131: q^2+3q+1
     132: q
     133: q^2+3q+1
     134: q^2+2q+1
     135: q^2+3q+1
     137: q^2+2q+1
     139: q^2+2q+1
     141: q^2+2q+1
     143: q^2+2q+1
     144: 2q+1
     145: 3q+1
     146: 2q+1
     147: 2q+1
     148: q^2+4q+1
     149: q^2+3q+1
     150: q^3+q^2+3q+1
     151: q^2+2q+1
     152: q^2+3q+1
     153: q^2+2q+1
     154: q^2+4q+1
     155: q^2+3q+1
     156: q^3+q^2+3q+1
     157: q^2+3q+1
     158: q^2+2q+1
     159: q^2+2q+1
     160: q^3+q^2+3q+1
     161: q^2+3q+1
     163: q^2+2q+1
     165: q^2+2q+1
     167: q^2+2q+1
     169: q^2+2q+1
     170: 3q+1
     171: 3q+1
     172: 3q+1
     173: q^3+2q+1
     174: 3q+1
     175: 3q+1
     176: 3q+1
     177: q^3+2q+1
     178: 3q+1
     179: 3q+1
     180: 3q+1
     181: q^3+2q+1
     182: 2q^2+3q+1
     183: q^3+q^2+3q+1
     184: 2q^2+3q+1
     185: q^3+q^2+3q+1
     187: q^2+2q+1
     189: q^2+2q+1
     191: q+1
     193: q+1
     195: q^2+2q+1
     197: q+1
     199: q+1
     200: q
     201: q^2+3q+1
     203: q^2+2q+1
     205: q^2+2q+1
     207: q+1
     209: q+1
     211: q+1
     213: q+1
     214: 2q+1
     215: 2q+1
     216: 3q+1
     217: 2q+1
     218: 2q+1
     219: 2q+1
     220: 2q+1
     221: q^2+3q+1
     222: 2q+1
     223: 3q+1
     224: 2q+1
     225: 2q+1
     226: q^2+3q+1
     227: 2q+1
     228: 3q+1
     229: 2q+1
     230: 2q+1
     231: q^2+3q+1
     233: q^2+2q+1
     235: q^2+2q+1
     237: q^2+2q+1
     239: q^2+2q+1
     240: q^3+q^2+3q+1
     241: q^2+2q+1
     242: q^2+2q+1
     243: q^2+3q+1
     244: 2q+2
     245: q^2+2q+1
     246: 2q+2
     247: q^2+2q+1
     248: 3q+1
     249: 3q+1
     250: 3q+1
     251: q^3+2q+1
     252: 3q+1
     253: 3q+1
     254: 3q+1
     255: q^3+2q+1
     256: 3q+1
     257: 3q+1
     258: 3q+1
     259: q^3+2q+1
     261: q+1
     263: q+1
     265: q^2+2q+1
     267: 1
     269: q+1
     271: q+1
     273: q+1
     275: q+1
     277: q+1
     279: q+1
     281: q^2+2q+1
     283: q^2+2q+1
     285: q+1
     287: q^2+2q+1
     289: q+1
     291: q+1
     293: q+1
     295: q+1
     296: 2q+1
     297: 2q+1
     298: 2q+1
     299: q+1
     300: q^2+2q+1
     302: 2q+2
     304: q^2+2q+1
     306: 2q+2
     308: q^2+2q+1
     309: 2q+1
     310: 2q+1
     311: 3q+1
     312: 2q+1
     313: 2q+1
     314: 2q+1
     315: 2q+1
     316: 2q+2
     317: 2q+1
     318: 2q+1
     319: 3q+1
     320: 2q+1
     321: 2q+1
     322: 2q+1
     323: 2q+1
     324: 2q+2
     326: q+1
     328: q+1
     330: q+1
     332: q+1
     333: q^2+3q+1
     334: 2q+1
     335: 3q+1
     336: 2q+1
     337: 2q+1
     338: 2
     339: q+1
     340: 2
     341: q+1
     342: 3q+1
     343: 3q+1
     344: 3q+1
     345: q^3+2q+1
     347: q+1
     349: q+1
     351: q+1
     353: 1
     355: 1
     357: q+1
     359: q+1
     361: q^2+2q+1
     363: q+1
     365: 1
     367: q+1
     369: 2q+2
     371: q+1
     373: 1
     375: q+1
     377: 2q+2
     379: q+1
     381: q+1
     383: q^2+2q+1
     385: q+1
     387: q+1
     388: q+1
     389: q+1
     390: q+1
     391: q+1
     392: q+1
     393: q+1
     395: 2
     397: q+1
     399: 2
     401: q+1
     402: 1
     403: 2q+1
     404: 2q+1
     405: 2q+1
     406: q+1
     407: 2
     408: 2q+1
     409: 2q+1
     410: 2q+1
     411: q+1
     412: 2
     414: q+1
     416: q+1
     418: q+1
     420: q+1
     421: 2q+1
     422: 2q+1
     423: 3q+1
     424: 2q+1
     425: 2q+1
     426: 2q+1
     427: 2q+1
     428: 2
     429: q+1
     430: 2
     431: q+1
     432: 2
     433: q+1
     434: 2
     435: q+1
     437: q+1
     440: q+1
     443: q+1
     445: 1
     447: 1
     449: 1
     451: q+1
     453: q+1
     455: 1
     457: q+1
     459: 1
     461: q+1
     463: 2
     465: 1
     467: q+1
     469: 1
     471: q+1
     473: 2
     475: q+1
     477: q+1
     479: q+1
     481: q+1
     483: 1
     485: q+1
     486: 1
     487: 1
     488: q+1
     490: 2
     492: q+1
     494: 2
     496: q+1
     497: 1
     498: 1
     500: 2
     502: q+1
     504: 2
     506: q+1
     507: q+1
     508: 1
     509: 2
     510: q+1
     511: q+1
     512: q+1
     513: 2
     514: 1
     515: 2
     516: q+1
     517: q+1
     518: q+1
     519: 2
     520: 1
     521: 2q+1
     522: 2q+1
     523: 2q+1
     524: q+1
     525: 2
     526: q+1
     527: 2
     528: q+1
     530: 1
     533: 1
     536: q+1
     538: 1
     540: 1
     542: 1
     544: 1
     546: q+1
     550: 2
     552: 1
     554: 1
     556: 1
     558: q+1
     560: 2
     562: 2
     564: 1
     566: 1
     568: 1
     570: q+1
     572: 2
     574: q+1
     575: 1
     576: 1
     578: 1
     580: q+1
     582: 1
     584: q+1
     585: 1
     586: 1
     588: 2
     590: q+1
     592: 2
     594: q+1
     595: q+1
     596: 1
     597: 1
     598: 1
     599: 2
     600: 1
     601: 1
     602: 1
     603: 2
     604: 1
     605: 1
     606: 1
     607: q+1
     608: q+1
     609: q+1
     610: 1
     616: 1
     619: 1
     622: 1
     625: 1
     628: q+1
     630: 1
     632: 1
     634: 1
     642: 2
     644: 1
     646: 1
     648: 1
     650: 1
     652: 2
     654: 1
     656: 1
     658: 1
     660: 1
     661: 1
     662: 1
     664: 1
     666: 1
     668: 1
     670: q+1
     683: 1
     685: 1
     686: 1
     687: 1
     689: 1
     690: 1
     691: 1
     692: 1
     693: 1
     694: 1
     702: 1
     705: 1
     712: 1
     722: 1
     724: 1
     726: 1
     730: 1
     732: 1
     734: 1
     738: 1
     740: 1
     742: 1
     744: 1
     752: 1
     754: 1
     756: 1
     757: 1
     758: 1
     786: 1
     790: 1
     794: 1
     796: 1
     798: 1
     808: 1
     835: 1

836:   0: 3q^2+4q+1
       1: 3q^2+4q+1
       2: 3q^3+4q^2+4q+1
       3: q^3+3q^2+3q+1
       4: 3q^2+4q+1
       5: 3q^2+4q+1
       6: q^3+3q^2+3q+1
       7: 3q^2+4q+1
       8: 3q^3+4q^2+4q+1
       9: q^3+3q^2+3q+1
      10: 3q^2+4q+1
      11: q^2+2q+1
      12: q^4+3q^3+4q^2+3q+1
      13: q^2+2q+1
      14: q^2+2q+1
      15: 3q^2+4q+1
      16: q^3+3q^2+3q+1
      17: 3q^2+4q+1
      18: q^2+2q+1
      19: 3q^2+4q+1
      20: q^3+3q^2+3q+1
      21: 3q^2+4q+1
      22: q^2+2q+1
      23: 3q^2+4q+1
      24: 3q^2+4q+1
      25: q^2+2q+1
      26: q^2+2q+1
      27: 2q^2+3q+1
      28: 2q^2+3q+1
      29: 2q^2+3q+1
      30: 2q^3+3q^2+3q+1
      31: 3q^2+4q+1
      32: 3q^2+4q+1
      33: 3q^3+4q^2+4q+1
      34: 3q^2+4q+1
      35: 3q^2+4q+1
      36: 3q^2+4q+1
      37: 3q^3+4q^2+4q+1
      38: 3q^2+4q+1
      39: q^2+2q+1
      40: 2q^2+3q+1
      41: 2q^2+3q+1
      42: 3q^2+4q+1
      43: 3q^2+4q+1
      44: 3q^2+4q+1
      45: 3q^2+4q+1
      46: 3q^2+4q+1
      47: 3q^2+4q+1
      48: 2q^2+3q+1
      49: q^2+q
      50: 2q^2+3q+1
      51: q^2+q
      52: 2q^3+3q^2+3q+1
      53: q^3+q^2+q
      54: 2q^2+3q+1
      55: q^2+q
      56: 3q^2+4q+1
      57: q^3+3q^2+3q+1
      58: 3q^2+4q+1
      59: q^2+2q+1
      60: 3q^2+4q+1
      61: 3q^2+4q+1
      62: q^2+2q+1
      63: q^2+2q+1
      64: 2q^2+3q+1
      65: 2q+1
      66: 2q^2+3q+1
      67: 2q+1
      68: 2q^2+3q+1
      69: 2q^2+3q+1
      70: 2q^3+3q^2+3q+1
      71: 2q^2+3q+1
      72: 2q^2+3q+1
      73: 2q^2+3q+1
      74: 2q^3+3q^2+3q+1
      75: 2q^2+3q+1
      76: 2q^2+3q+1
      77: q^2+q
      78: 2q^2+3q+1
      79: q^2+q
      80: 2q^2+3q+1
      81: q^2+q
      82: q^2+2q+1
      83: 2q+1
      84: 2q^2+3q+1
      85: 2q+1
      86: q^2+2q+1
      87: q^2+2q+1
      88: q^2+2q+1
      90: q^2+2q+1
      92: q^3+2q^2+2q+1
      94: q^2+2q+1
      96: 3q^2+4q+1
      97: 3q^2+4q+1
      98: 2q^2+3q+1
      99: 2q^2+3q+1
     100: 3q^2+4q+1
     101: 3q^2+4q+1
     102: 2q^2+3q+1
     103: 2q^2+3q+1
     104: 3q^2+4q+1
     105: 3q^2+4q+1
     106: q^2+2q+1
     107: q^2+2q+1
     108: 2q^2+3q+1
     109: 2q+1
     110: 2q^2+3q+1
     111: 2q+1
     112: 2q^2+3q+1
     113: 2q+1
     114: 2q^2+3q+1
     115: 2q+1
     116: 2q^2+3q+1
     117: 2q+1
     118: 2q^2+3q+1
     119: 2q+1
     120: 2q^2+3q+1
     121: 2q^2+3q+1
     122: 2q^3+3q^2+3q+1
     123: 2q^2+3q+1
     124: q+1
     126: q^2+2q+1
     128: q^2+2q+1
     130: 2q^2+3q+1
     131: q^2+q
     132: 2q^2+3q+1
     133: q^2+q
     134: q^2+2q+1
     135: 2q+1
     136: q^2+2q+1
     138: q+1
     140: q^2+2q+1
     142: q+1
     144: 2q+1
     145: 2q+1
     146: q^2+2q+1
     147: q^2+2q+1
     148: 3q^2+4q+1
     149: 2q+1
     150: 2q+1
     151: q^2+2q+1
     152: 2q^2+3q+1
     153: q^2+2q+1
     154: 3q^2+4q+1
     155: 2q+1
     156: 2q+1
     157: 2q^2+3q+1
     158: q^2+2q+1
     159: q^2+2q+1
     160: 2q^2+3q+1
     161: 2q^2+3q+1
     162: q^2+2q+1
     164: q^2+2q+1
     166: q^3+2q^2+2q+1
     168: q^2+2q+1
     170: 2q^2+3q+1
     171: 2q+1
     172: 2q^2+3q+1
     173: 2q+1
     174: 2q^2+3q+1
     175: 2q+1
     176: 2q^2+3q+1
     177: 2q+1
     178: 2q^2+3q+1
     179: 2q+1
     180: 2q^2+3q+1
     181: 2q+1
     182: 2q^2+3q+1
     183: 2q+1
     184: 2q^2+3q+1
     185: 2q+1
     186: q+1
     188: q+1
     190: q+1
     192: q+1
     194: q^2+2q+1
     196: q+1
     198: q+1
     200: 2q^2+3q+1
     201: q^2+q
     202: q^2+2q+1
     204: q^2+2q+1
     206: q^2+2q+1
     208: q+1
     210: q^2+2q+1
     212: q+1
     214: 2q+1
     215: 2q+1
     216: 2q+1
     217: q^2+2q+1
     218: q+1
     219: q^2+2q+1
     220: q+1
     221: 2q+1
     222: 2q+1
     223: 2q+1
     224: q^2+2q+1
     225: q^2+2q+1
     226: 2q+1
     227: 2q+1
     228: 2q+1
     229: q^2+2q+1
     230: q^2+2q+1
     231: 2q+1
     232: q^2+2q+1
     234: q+1
     236: q^2+2q+1
     238: q+1
     240: 2q+1
     241: q^2+2q+1
     242: q^2+2q+1
     243: 2q^2+3q+1
     244: 2q+2
     245: q+1
     246: 2q+2
     247: q+1
     248: 2q^2+3q+1
     249: 2q+1
     250: 2q^2+3q+1
     251: 2q+1
     252: 2q^2+3q+1
     253: 2q+1
     254: 2q^2+3q+1
     255: 2q+1
     256: 2q^2+3q+1
     257: 2q+1
     258: 2q^2+3q+1
     259: 2q+1
     260: q+1
     262: q+1
     264: q+1
     266: q+1
     268: 1
     270: q+1
     272: q+1
     274: q+1
     276: q+1
     278: q+1
     280: q+1
     282: q+1
     284: q+1
     286: q^2+2q+1
     288: q^2+2q+1
     290: q+1
     292: q^2+2q+1
     294: q+1
     296: 2q+1
     297: q+1
     298: q+1
     299: 1
     300: q+1
     301: 2q+2
     303: q+1
     305: 2q+2
     307: q+1
     309: 2q+1
     310: 2q+1
     311: 2q+1
     312: q^2+2q+1
     313: q+1
     314: q^2+2q+1
     315: q+1
     316: 2q+2
     317: 2q+1
     318: 2q+1
     319: 2q+1
     320: q^2+2q+1
     321: q+1
     322: q^2+2q+1
     323: q+1
     324: 2q+2
     325: q^2+2q+1
     327: q+1
     329: q^2+2q+1
     331: q+1
     333: 2q+1
     334: 2q+1
     335: 2q+1
     336: q^2+2q+1
     337: q^2+2q+1
     338: 2q+2
     339: q+1
     340: 2q+2
     341: q+1
     342: 2q^2+3q+1
     343: 2q+1
     344: 2q^2+3q+1
     345: 2q+1
     346: q+1
     348: q+1
     350: q+1
     352: q+1
     354: 1
     356: 1
     358: 1
     360: q+1
     362: 1
     364: q+1
     366: q+1
     368: 2q+2
     370: 1
     372: q+1
     374: q+1
     376: 2q+2
     378: q+1
     380: q+1
     382: q+1
     384: q+1
     386: q+1
     388: q+1
     389: q+1
     390: q+1
     391: q+1
     392: 1
     393: q+1
     394: 2q+2
     396: q+1
     398: 2q+2
     400: q+1
     402: 1
     403: 2q+1
     404: q+1
     405: q+1
     406: 1
     407: 2q+2
     408: 2q+1
     409: q+1
     410: q+1
     411: 1
     412: 2q+2
     413: q^2+2q+1
     415: q+1
     417: q^2+2q+1
     419: q+1
     421: 2q+1
     422: 2q+1
     423: 2q+1
     424: q^2+2q+1
     425: q+1
     426: q^2+2q+1
     427: q+1
     428: 2
     429: q+1
     430: 2
     432: 2q+2
     433: q+1
     434: 2q+2
     435: q+1
     436: q+1
     439: q+1
     442: q+1
     444: 1
     446: 1
     448: 1
     450: 1
     452: q+1
     454: 1
     456: 1
     458: q+1
     460: 1
     462: 2q+2
     464: 1
     466: 1
     468: q+1
     470: 1
     472: 2q+2
     474: q+1
     476: q+1
     478: q+1
     480: 1
     482: q+1
     484: q+1
     486: q+1
     487: q+1
     489: 2
     491: q+1
     493: 2
     497: 1
     498: 1
     499: 2q+2
     501: q+1
     503: 2q+2
     505: q+1
     507: q+1
     508: 1
     509: 2
     510: q+1
     511: q+1
     512: 1
     513: 2q+2
     514: 1
     515: 2
     516: q+1
     517: q+1
     518: 1
     519: 2q+2
     520: 1
     521: 2q+1
     522: q+1
     523: q+1
     524: 1
     525: 2
     526: q+1
     527: 2
     529: q+1
     532: q+1
     537: 1
     539: 1
     541: 1
     543: 1
     545: q+1
     549: 2
     551: 1
     553: 1
     555: 1
     557: 1
     559: 2q+2
     561: 2
     563: 1
     565: 1
     567: 1
     569: 1
     571: 2q+2
     573: q+1
     575: 1
     576: 1
     577: 1
     579: 1
     581: q+1
     583: 1
     585: q+1
     586: q+1
     587: 2
     589: q+1
     591: 2
     597: 1
     598: 1
     599: 2
     600: 1
     601: 1
     602: 1
     603: 2
     604: 1
     605: 1
     606: 1
     607: q+1
     608: q+1
     609: 1
     610: 1
     611: 2
     612: q+1
     613: 2
     615: 1
     618: 1
     621: q+1
     624: q+1
     631: 1
     633: 1
     641: 2
     643: 1
     645: 1
     647: 1
     649: 1
     651: 2
     653: 1
     655: 1
     657: 1
     659: 1
     661: 1
     662: 1
     663: 1
     665: 1
     667: 1
     669: 1
     673: 2
     675: q+1
     677: 2
     682: 1
     684: 2
     686: 1
     687: 1
     688: 2
     690: 1
     691: 1
     692: 1
     693: 1
     694: 1
     701: 1
     704: 1
     709: 1
     719: 2
     723: 1
     725: 1
     727: 2
     731: 1
     733: 1
     735: 1
     736: 1
     737: 1
     739: 1
     741: 1
     743: 1
     753: 1
     755: 1
     757: 1
     758: 1
     765: 1
     768: 1
     787: 1
     791: 1
     795: 1
     797: 1
     809: 1
     836: 1

837:   0: 3q^2+4q+1
       1: 3q^2+4q+1
       2: 3q^3+4q^2+4q+1
       3: q^3+3q^2+3q+1
       4: 3q^2+4q+1
       5: 3q^2+4q+1
       6: q^3+3q^2+3q+1
       7: 3q^2+4q+1
       8: 3q^3+4q^2+4q+1
       9: q^3+3q^2+3q+1
      10: 3q^2+4q+1
      11: q^2+2q+1
      12: q^4+3q^3+4q^2+3q+1
      13: q^2+2q+1
      14: q^2+2q+1
      15: 3q^2+4q+1
      16: q^3+3q^2+3q+1
      17: 3q^2+4q+1
      18: q^2+2q+1
      19: 3q^2+4q+1
      20: q^3+3q^2+3q+1
      21: 3q^2+4q+1
      22: q^2+2q+1
      23: 3q^2+4q+1
      24: 3q^2+4q+1
      25: q^2+2q+1
      26: q^2+2q+1
      27: 2q^2+3q+1
      28: 2q^2+3q+1
      29: 2q^2+3q+1
      30: 2q^3+3q^2+3q+1
      31: 3q^2+4q+1
      32: 3q^2+4q+1
      33: 3q^3+4q^2+4q+1
      34: 3q^2+4q+1
      35: 3q^2+4q+1
      36: 3q^2+4q+1
      37: 3q^3+4q^2+4q+1
      38: 3q^2+4q+1
      39: q^2+2q+1
      40: 2q^2+3q+1
      41: 2q^2+3q+1
      42: 3q^2+4q+1
      43: 3q^2+4q+1
      44: 3q^2+4q+1
      45: 3q^2+4q+1
      46: 3q^2+4q+1
      47: 3q^2+4q+1
      48: q^2+q
      49: 2q^2+3q+1
      50: q^2+q
      51: 2q^2+3q+1
      52: q^3+q^2+q
      53: 2q^3+3q^2+3q+1
      54: q^2+q
      55: 2q^2+3q+1
      56: 3q^2+4q+1
      57: q^3+3q^2+3q+1
      58: 3q^2+4q+1
      59: q^2+2q+1
      60: 3q^2+4q+1
      61: 3q^2+4q+1
      62: q^2+2q+1
      63: q^2+2q+1
      64: 2q^2+3q+1
      65: 2q+1
      66: 2q^2+3q+1
      67: 2q+1
      68: 2q^2+3q+1
      69: 2q^2+3q+1
      70: 2q^3+3q^2+3q+1
      71: 2q^2+3q+1
      72: 2q^2+3q+1
      73: 2q^2+3q+1
      74: 2q^3+3q^2+3q+1
      75: 2q^2+3q+1
      76: q^2+q
      77: 2q^2+3q+1
      78: q^2+q
      79: 2q^2+3q+1
      80: q^2+q
      81: 2q^2+3q+1
      82: q^2+2q+1
      83: 2q+1
      84: 2q^2+3q+1
      85: 2q+1
      86: q^2+2q+1
      87: q^2+2q+1
      89: q^2+2q+1
      91: q^2+2q+1
      93: q^3+2q^2+2q+1
      95: q^2+2q+1
      96: 3q^2+4q+1
      97: 3q^2+4q+1
      98: 2q^2+3q+1
      99: 2q^2+3q+1
     100: 3q^2+4q+1
     101: 3q^2+4q+1
     102: 2q^2+3q+1
     103: 2q^2+3q+1
     104: 3q^2+4q+1
     105: 3q^2+4q+1
     106: q^2+2q+1
     107: q^2+2q+1
     108: 2q^2+3q+1
     109: 2q+1
     110: 2q^2+3q+1
     111: 2q+1
     112: 2q^2+3q+1
     113: 2q+1
     114: 2q^2+3q+1
     115: 2q+1
     116: 2q^2+3q+1
     117: 2q+1
     118: 2q^2+3q+1
     119: 2q+1
     120: 2q^2+3q+1
     121: 2q^2+3q+1
     122: 2q^3+3q^2+3q+1
     123: 2q^2+3q+1
     125: q+1
     127: q^2+2q+1
     129: q^2+2q+1
     130: q^2+q
     131: 2q^2+3q+1
     132: q^2+q
     133: 2q^2+3q+1
     134: q^2+2q+1
     135: 2q+1
     137: q^2+2q+1
     139: q+1
     141: q^2+2q+1
     143: q+1
     144: 2q+1
     145: 2q+1
     146: q^2+2q+1
     147: q^2+2q+1
     148: 3q^2+4q+1
     149: 2q+1
     150: 2q+1
     151: q^2+2q+1
     152: 2q^2+3q+1
     153: q^2+2q+1
     154: 3q^2+4q+1
     155: 2q+1
     156: 2q+1
     157: 2q^2+3q+1
     158: q^2+2q+1
     159: q^2+2q+1
     160: 2q^2+3q+1
     161: 2q^2+3q+1
     163: q^2+2q+1
     165: q^2+2q+1
     167: q^3+2q^2+2q+1
     169: q^2+2q+1
     170: 2q^2+3q+1
     171: 2q+1
     172: 2q^2+3q+1
     173: 2q+1
     174: 2q^2+3q+1
     175: 2q+1
     176: 2q^2+3q+1
     177: 2q+1
     178: 2q^2+3q+1
     179: 2q+1
     180: 2q^2+3q+1
     181: 2q+1
     182: 2q^2+3q+1
     183: 2q+1
     184: 2q^2+3q+1
     185: 2q+1
     187: q+1
     189: q+1
     191: q+1
     193: q+1
     195: q^2+2q+1
     197: q+1
     199: q+1
     200: q^2+q
     201: 2q^2+3q+1
     203: q^2+2q+1
     205: q^2+2q+1
     207: q^2+2q+1
     209: q+1
     211: q^2+2q+1
     213: q+1
     214: 2q+1
     215: 2q+1
     216: 2q+1
     217: q^2+2q+1
     218: q+1
     219: q^2+2q+1
     220: q+1
     221: 2q+1
     222: 2q+1
     223: 2q+1
     224: q^2+2q+1
     225: q^2+2q+1
     226: 2q+1
     227: 2q+1
     228: 2q+1
     229: q^2+2q+1
     230: q^2+2q+1
     231: 2q+1
     233: q^2+2q+1
     235: q+1
     237: q^2+2q+1
     239: q+1
     240: 2q+1
     241: q^2+2q+1
     242: q^2+2q+1
     243: 2q^2+3q+1
     244: 2q+2
     245: q+1
     246: 2q+2
     247: q+1
     248: 2q^2+3q+1
     249: 2q+1
     250: 2q^2+3q+1
     251: 2q+1
     252: 2q^2+3q+1
     253: 2q+1
     254: 2q^2+3q+1
     255: 2q+1
     256: 2q^2+3q+1
     257: 2q+1
     258: 2q^2+3q+1
     259: 2q+1
     261: q+1
     263: q+1
     265: q+1
     267: q+1
     269: 1
     271: q+1
     273: q+1
     275: q+1
     277: q+1
     279: q+1
     281: q+1
     283: q+1
     285: q+1
     287: q^2+2q+1
     289: q^2+2q+1
     291: q+1
     293: q^2+2q+1
     295: q+1
     296: 2q+1
     297: q+1
     298: q+1
     299: 1
     300: q+1
     302: 2q+2
     304: q+1
     306: 2q+2
     308: q+1
     309: 2q+1
     310: 2q+1
     311: 2q+1
     312: q^2+2q+1
     313: q+1
     314: q^2+2q+1
     315: q+1
     316: 2q+2
     317: 2q+1
     318: 2q+1
     319: 2q+1
     320: q^2+2q+1
     321: q+1
     322: q^2+2q+1
     323: q+1
     324: 2q+2
     326: q^2+2q+1
     328: q+1
     330: q^2+2q+1
     332: q+1
     333: 2q+1
     334: 2q+1
     335: 2q+1
     336: q^2+2q+1
     337: q^2+2q+1
     338: 2q+2
     339: q+1
     340: 2q+2
     341: q+1
     342: 2q^2+3q+1
     343: 2q+1
     344: 2q^2+3q+1
     345: 2q+1
     347: q+1
     349: q+1
     351: q+1
     353: q+1
     355: 1
     357: 1
     359: 1
     361: q+1
     363: 1
     365: q+1
     367: q+1
     369: 2q+2
     371: 1
     373: q+1
     375: q+1
     377: 2q+2
     379: q+1
     381: q+1
     383: q+1
     385: q+1
     387: q+1
     388: q+1
     389: q+1
     390: q+1
     391: q+1
     392: 1
     393: q+1
     395: 2q+2
     397: q+1
     399: 2q+2
     401: q+1
     402: 1
     403: 2q+1
     404: q+1
     405: q+1
     406: 1
     407: 2q+2
     408: 2q+1
     409: q+1
     410: q+1
     411: 1
     412: 2q+2
     414: q^2+2q+1
     416: q+1
     418: q^2+2q+1
     420: q+1
     421: 2q+1
     422: 2q+1
     423: 2q+1
     424: q^2+2q+1
     425: q+1
     426: q^2+2q+1
     427: q+1
     428: 2
     429: q+1
     430: 2
     432: 2q+2
     433: q+1
     434: 2q+2
     435: q+1
     437: q+1
     440: q+1
     443: q+1
     445: 1
     447: 1
     449: 1
     451: 1
     453: q+1
     455: 1
     457: 1
     459: q+1
     461: 1
     463: 2q+2
     465: 1
     467: 1
     469: q+1
     471: 1
     473: 2q+2
     475: q+1
     477: q+1
     479: q+1
     481: 1
     483: q+1
     485: q+1
     486: q+1
     487: q+1
     490: 2
     492: q+1
     494: 2
     497: 1
     498: 1
     500: 2q+2
     502: q+1
     504: 2q+2
     506: q+1
     507: q+1
     508: 1
     509: 2
     510: q+1
     511: q+1
     512: 1
     513: 2q+2
     514: 1
     515: 2
     516: q+1
     517: q+1
     518: 1
     519: 2q+2
     520: 1
     521: 2q+1
     522: q+1
     523: q+1
     524: 1
     525: 2
     526: q+1
     527: 2
     530: q+1
     533: q+1
     538: 1
     540: 1
     542: 1
     544: 1
     546: q+1
     550: 2
     552: 1
     554: 1
     556: 1
     558: 1
     560: 2q+2
     562: 2
     564: 1
     566: 1
     568: 1
     570: 1
     572: 2q+2
     574: q+1
     575: 1
     576: 1
     578: 1
     580: 1
     582: q+1
     584: 1
     585: q+1
     586: q+1
     588: 2
     590: q+1
     592: 2
     597: 1
     598: 1
     599: 2
     600: 1
     601: 1
     602: 1
     603: 2
     604: 1
     605: 1
     606: 1
     607: q+1
     608: q+1
     609: 1
     610: 1
     611: 2
     612: q+1
     613: 2
     616: 1
     619: 1
     622: q+1
     625: q+1
     632: 1
     634: 1
     642: 2
     644: 1
     646: 1
     648: 1
     650: 1
     652: 2
     654: 1
     656: 1
     658: 1
     660: 1
     661: 1
     662: 1
     664: 1
     666: 1
     668: 1
     670: 1
     674: 2
     676: q+1
     678: 2
     682: 1
     684: 2
     686: 1
     687: 1
     688: 2
     690: 1
     691: 1
     692: 1
     693: 1
     694: 1
     702: 1
     705: 1
     710: 1
     720: 2
     724: 1
     726: 1
     728: 2
     732: 1
     734: 1
     735: 1
     736: 1
     738: 1
     740: 1
     742: 1
     744: 1
     753: 1
     755: 1
     757: 1
     758: 1
     766: 1
     769: 1
     788: 1
     792: 1
     796: 1
     798: 1
     809: 1
     837: 1

838:   0: q^2+3q+1
       1: q^2+3q+1
       2: 2q^2+3q+1
       3: q^2+3q+1
       4: q^2+3q+1
       5: q^3+q^2+q+1
       6: q^2+3q+1
       7: q^2+3q+1
       8: 2q^2+3q+1
       9: q^3+q^2+q+1
      10: q^3+q^2+q+1
      11: q^3+q^2+q+1
      12: 2q^2+3q+1
      13: q^2+1
      14: q^2+1
      15: q^2+q+1
      16: q^2+q+1
      17: q^2+q+1
      18: q^2+1
      19: q^2+3q+1
      20: q^2+3q+1
      21: q^2+3q+1
      22: q^2+1
      23: 3q+1
      24: 3q+1
      25: q^2+q+1
      26: q^2+1
      27: q^2+3q+1
      28: q^2+3q+1
      29: q^3+q^2+q+1
      30: 2q^2+3q+1
      31: q^2+3q+1
      32: q^2+3q+1
      33: 2q^2+3q+1
      34: q^3+q^2+q+1
      35: q^2+3q+1
      36: q^2+3q+1
      37: 2q^2+3q+1
      38: q^3+q^2+q+1
      39: q^2+1
      40: q^2+q+1
      41: q^2+3q+1
      42: q^2+q+1
      43: q^2+3q+1
      44: 3q+1
      45: q^2+q+1
      46: q^2+3q+1
      47: 3q+1
      48: 2q+1
      49: q^2+q
      50: 2q+1
      51: q^2+q
      52: q^2+2q+1
      53: q^2+q
      54: q+1
      55: q^3+q^2
      56: q^2+q+1
      57: q^2+q+1
      58: q^2+q+1
      59: q^2+1
      60: 3q+1
      61: 3q+1
      62: q^2+q+1
      63: q^2+1
      64: 3q+1
      65: q^2+q+1
      66: 3q+1
      67: q^2+1
      68: q^2+3q+1
      69: q^2+3q+1
      70: 2q^2+3q+1
      71: q^3+q^2+q+1
      72: q^2+3q+1
      73: q^2+3q+1
      74: 2q^2+3q+1
      75: q^3+q^2+q+1
      76: q+1
      77: q^2
      78: 2q+1
      79: q^2+q
      80: 2q+1
      81: q
      82: q^2+1
      83: q+1
      84: q^2+q+1
      85: q^2+1
      86: 3q+1
      87: 3q+1
      88: 2q+1
      89: q^2+q
      90: 2q+1
      91: q^2+q
      92: q^2+2q+1
      93: q^2+q
      94: q+1
      95: q^3+q^2
      96: q^2+q+1
      97: 3q+1
      98: q^2+q+1
      99: q^2+3q+1
     100: q^2+q+1
     101: 3q+1
     102: q^2+q+1
     103: q^2+3q+1
     104: q+1
     105: q+1
     106: 1
     107: 1
     108: 3q+1
     109: q^2+q+1
     110: 3q+1
     111: q^2+1
     112: 3q+1
     113: q^2+q+1
     114: 3q+1
     115: q^2+1
     116: 3q+1
     117: q^2+q+1
     118: 3q+1
     119: q^2+1
     120: q^2+3q+1
     121: q^2+3q+1
     122: 2q^2+3q+1
     123: q^3+q^2+q+1
     124: 2q+1
     125: q
     126: q+1
     127: q^2
     128: 2q+1
     129: q^2+q
     130: q+1
     131: q^2
     132: 2q+1
     133: q
     134: 1
     135: 1
     136: q+1
     137: q
     138: 1
     139: q^2
     140: q+1
     141: q
     142: 1
     143: q^2
     144: q^2+1
     145: q+1
     146: 3q+1
     147: 3q+1
     148: q+1
     149: q+1
     150: q^2+1
     151: 3q+1
     152: q^2+q+1
     153: 3q+1
     154: q+1
     155: q+1
     156: q^2+1
     157: q^2+q+1
     158: 3q+1
     159: 3q+1
     160: q^2+q+1
     161: q^2+3q+1
     162: 2q+1
     163: q^2+q
     164: 2q+1
     165: q^2+q
     166: q^2+2q+1
     167: q^2+q
     168: q+1
     169: q^3+q^2
     170: q+1
     171: 1
     172: q+1
     173: 1
     174: 3q+1
     175: q^2+q+1
     176: 3q+1
     177: q^2+1
     178: 3q+1
     179: q^2+q+1
     180: 3q+1
     181: q^2+1
     182: 3q+1
     183: q^2+q+1
     184: 3q+1
     185: q^2+1
     186: 1
     188: 1
     189: q^2
     190: q+1
     191: q
     192: 2q+1
     193: q
     194: q+1
     195: q^2
     196: 2q+1
     197: q
     198: 2q+1
     199: q
     200: q+1
     202: q+1
     203: q^2
     204: 2q+1
     205: q^2+q
     206: q+1
     207: q
     208: 1
     209: q^2
     210: q+1
     211: q
     212: 1
     213: q^2
     214: 1
     215: 1
     216: 1
     217: q+1
     218: q+1
     219: q+1
     220: q+1
     221: 1
     222: q^2+1
     223: q+1
     224: 3q+1
     225: 3q+1
     226: 1
     227: q^2+1
     228: q+1
     229: 3q+1
     230: 3q+1
     231: q+1
     232: q+1
     233: q
     234: 1
     235: q^2
     236: q+1
     237: q
     238: 1
     239: q^2
     240: q^2+1
     241: 3q+1
     242: 3q+1
     243: q^2+q+1
     244: 3q+1
     245: q^2+q+1
     246: 3q+1
     247: q^2+1
     248: q+1
     249: 1
     250: q+1
     251: 1
     252: q+1
     253: 1
     254: q+1
     255: 1
     256: 3q+1
     257: q^2+q+1
     258: 3q+1
     259: q^2+1
     260: 1
     261: q^2
     262: 1
     264: 1
     266: q+1
     267: q
     268: 1
     270: q+1
     272: q+1
     273: q
     274: 2q+1
     275: q
     276: q+1
     277: q
     278: 2q+1
     279: q
     280: 1
     282: 1
     283: q^2
     284: 2q+1
     285: q
     286: q+1
     287: q^2
     296: 1
     297: 1
     298: 1
     299: q+1
     300: q^2+1
     301: q+1
     302: q
     303: 1
     304: q^2
     305: q+1
     306: q
     307: 1
     308: q^2
     309: 1
     310: 1
     311: 1
     312: q+1
     313: q+1
     314: q+1
     315: q+1
     316: 3q+1
     317: 1
     318: 1
     319: 1
     320: q+1
     321: q+1
     322: q+1
     323: q+1
     324: 3q+1
     325: q+1
     326: q
     327: 1
     328: q^2
     329: q+1
     330: q
     331: 1
     332: q^2
     333: 1
     334: q^2+1
     335: q+1
     336: 3q+1
     337: 3q+1
     338: 3q+1
     339: q^2+q+1
     340: 3q+1
     341: q^2+1
     342: q+1
     343: 1
     344: q+1
     345: 1
     350: 1
     354: 1
     356: 1
     358: 1
     360: 1
     361: q^2
     362: 1
     364: q+1
     365: q
     366: q+1
     368: q+1
     369: q
     370: 1
     372: q+1
     373: q
     374: q+1
     376: q+1
     377: q
     378: 1
     379: q^2
     380: 1
     382: 1
     384: 2q+1
     385: q
     386: q+1
     387: q
     388: 2q+1
     389: q
     390: 1
     391: 1
     392: 1
     393: q^2+1
     394: q+1
     395: q
     396: 1
     397: q^2
     398: q+1
     399: q
     400: 1
     401: q^2
     402: q+1
     403: 1
     404: 1
     405: 1
     406: q+1
     407: 3q+1
     408: 1
     409: 1
     410: 1
     411: q+1
     412: 3q+1
     421: 1
     422: 1
     423: 1
     424: q+1
     425: q+1
     426: q+1
     427: q+1
     428: 2
     429: 2
     430: 2
     432: q+1
     433: 1
     434: q+1
     435: 1
     436: q+1
     440: q
     444: 1
     448: 1
     450: 1
     452: 1
     453: q^2
     454: 1
     456: 1
     460: 1
     462: q+1
     463: q
     464: 1
     466: 1
     470: 1
     472: q+1
     473: q
     478: 1
     480: 1
     482: q+1
     483: q
     484: q+1
     486: 2q+1
     487: q
     489: 1
     490: 1
     491: 1
     492: 1
     493: 1
     494: 1
     497: 2
     498: 1
     507: 1
     508: 1
     509: 2
     510: 1
     511: 1
     512: 1
     513: q+1
     514: q+1
     515: 2
     516: 1
     517: 1
     518: 1
     519: q+1
     520: q+1
     521: 1
     522: 1
     523: 1
     524: q+1
     525: 1
     526: 1
     527: 1
     529: q+1
     533: q
     539: 1
     540: 1
     541: 1
     547: 1
     549: 1
     550: 1
     551: 1
     555: 1
     557: 1
     561: 1
     562: 1
     563: 1
     567: 1
     569: 1
     575: 2
     577: 1
     579: 1
     583: 1
     585: q+1
     597: 1
     598: 1
     599: 1
     600: 2
     601: 1
     602: 1
     603: 1
     604: 2
     605: 1
     606: 1
     607: 1
     608: 1
     609: 1
     610: q+1
     611: 1
     612: 1
     613: 1
     615: 1
     616: 1
     635: 1
     637: 1
     639: 2
     645: 1
     646: 1
     647: 1
     655: 1
     656: 1
     657: 1
     661: 1
     663: 1
     667: 1
     669: 1
     671: 1
     682: 1
     684: 1
     686: 1
     687: 1
     688: 1
     690: 1
     691: 1
     692: 1
     693: 2
     694: 1
     695: 1
     696: 1
     713: 1
     717: 1
     735: 1
     739: 1
     743: 1
     744: 1
     745: 1
     747: 1
     749: 2
     753: 1
     755: 1
     757: 1
     758: 1
     771: 1
     772: 1
     781: 1
     799: 1
     803: 1
     809: 1
     838: 1

839:   0: q^2+3q+1
       1: q^2+3q+1
       2: 2q^2+3q+1
       3: q^2+3q+1
       4: q^2+3q+1
       5: q^3+q^2+q+1
       6: q^2+3q+1
       7: q^2+3q+1
       8: 2q^2+3q+1
       9: q^3+q^2+q+1
      10: q^3+q^2+q+1
      11: q^3+q^2+q+1
      12: 2q^2+3q+1
      13: q^2+1
      14: q^2+1
      15: q^2+q+1
      16: q^2+q+1
      17: q^2+q+1
      18: q^2+1
      19: q^2+3q+1
      20: q^2+3q+1
      21: q^2+3q+1
      22: q^2+1
      23: 3q+1
      24: 3q+1
      25: q^2+q+1
      26: q^2+1
      27: q^2+3q+1
      28: q^2+3q+1
      29: q^3+q^2+q+1
      30: 2q^2+3q+1
      31: q^2+3q+1
      32: q^2+3q+1
      33: 2q^2+3q+1
      34: q^3+q^2+q+1
      35: q^2+3q+1
      36: q^2+3q+1
      37: 2q^2+3q+1
      38: q^3+q^2+q+1
      39: q^2+1
      40: q^2+q+1
      41: q^2+3q+1
      42: q^2+q+1
      43: q^2+3q+1
      44: 3q+1
      45: q^2+q+1
      46: q^2+3q+1
      47: 3q+1
      48: q^2+q
      49: 2q+1
      50: q^2+q
      51: 2q+1
      52: q^2+q
      53: q^2+2q+1
      54: q^3+q^2
      55: q+1
      56: q^2+q+1
      57: q^2+q+1
      58: q^2+q+1
      59: q^2+1
      60: 3q+1
      61: 3q+1
      62: q^2+q+1
      63: q^2+1
      64: 3q+1
      65: q^2+q+1
      66: 3q+1
      67: q^2+1
      68: q^2+3q+1
      69: q^2+3q+1
      70: 2q^2+3q+1
      71: q^3+q^2+q+1
      72: q^2+3q+1
      73: q^2+3q+1
      74: 2q^2+3q+1
      75: q^3+q^2+q+1
      76: q^2
      77: q+1
      78: q^2+q
      79: 2q+1
      80: q
      81: 2q+1
      82: q^2+1
      83: q+1
      84: q^2+q+1
      85: q^2+1
      86: 3q+1
      87: 3q+1
      88: q^2+q
      89: 2q+1
      90: q^2+q
      91: 2q+1
      92: q^2+q
      93: q^2+2q+1
      94: q^3+q^2
      95: q+1
      96: q^2+q+1
      97: 3q+1
      98: q^2+q+1
      99: q^2+3q+1
     100: q^2+q+1
     101: 3q+1
     102: q^2+q+1
     103: q^2+3q+1
     104: q+1
     105: q+1
     106: 1
     107: 1
     108: 3q+1
     109: q^2+q+1
     110: 3q+1
     111: q^2+1
     112: 3q+1
     113: q^2+q+1
     114: 3q+1
     115: q^2+1
     116: 3q+1
     117: q^2+q+1
     118: 3q+1
     119: q^2+1
     120: q^2+3q+1
     121: q^2+3q+1
     122: 2q^2+3q+1
     123: q^3+q^2+q+1
     124: q
     125: 2q+1
     126: q^2
     127: q+1
     128: q^2+q
     129: 2q+1
     130: q^2
     131: q+1
     132: q
     133: 2q+1
     134: 1
     135: 1
     136: q
     137: q+1
     138: q^2
     139: 1
     140: q
     141: q+1
     142: q^2
     143: 1
     144: q^2+1
     145: q+1
     146: 3q+1
     147: 3q+1
     148: q+1
     149: q+1
     150: q^2+1
     151: 3q+1
     152: q^2+q+1
     153: 3q+1
     154: q+1
     155: q+1
     156: q^2+1
     157: q^2+q+1
     158: 3q+1
     159: 3q+1
     160: q^2+q+1
     161: q^2+3q+1
     162: q^2+q
     163: 2q+1
     164: q^2+q
     165: 2q+1
     166: q^2+q
     167: q^2+2q+1
     168: q^3+q^2
     169: q+1
     170: q+1
     171: 1
     172: q+1
     173: 1
     174: 3q+1
     175: q^2+q+1
     176: 3q+1
     177: q^2+1
     178: 3q+1
     179: q^2+q+1
     180: 3q+1
     181: q^2+1
     182: 3q+1
     183: q^2+q+1
     184: 3q+1
     185: q^2+1
     187: 1
     188: q^2
     189: 1
     190: q
     191: q+1
     192: q
     193: 2q+1
     194: q^2
     195: q+1
     196: q
     197: 2q+1
     198: q
     199: 2q+1
     201: q+1
     202: q^2
     203: q+1
     204: q^2+q
     205: 2q+1
     206: q
     207: q+1
     208: q^2
     209: 1
     210: q
     211: q+1
     212: q^2
     213: 1
     214: 1
     215: 1
     216: 1
     217: q+1
     218: q+1
     219: q+1
     220: q+1
     221: 1
     222: q^2+1
     223: q+1
     224: 3q+1
     225: 3q+1
     226: 1
     227: q^2+1
     228: q+1
     229: 3q+1
     230: 3q+1
     231: q+1
     232: q
     233: q+1
     234: q^2
     235: 1
     236: q
     237: q+1
     238: q^2
     239: 1
     240: q^2+1
     241: 3q+1
     242: 3q+1
     243: q^2+q+1
     244: 3q+1
     245: q^2+q+1
     246: 3q+1
     247: q^2+1
     248: q+1
     249: 1
     250: q+1
     251: 1
     252: q+1
     253: 1
     254: q+1
     255: 1
     256: 3q+1
     257: q^2+q+1
     258: 3q+1
     259: q^2+1
     260: q^2
     261: 1
     263: 1
     265: 1
     266: q
     267: q+1
     269: 1
     271: q+1
     272: q
     273: q+1
     274: q
     275: 2q+1
     276: q
     277: q+1
     278: q
     279: 2q+1
     281: 1
     282: q^2
     283: 1
     284: q
     285: 2q+1
     286: q^2
     287: q+1
     296: 1
     297: 1
     298: 1
     299: q+1
     300: q^2+1
     301: q
     302: q+1
     303: q^2
     304: 1
     305: q
     306: q+1
     307: q^2
     308: 1
     309: 1
     310: 1
     311: 1
     312: q+1
     313: q+1
     314: q+1
     315: q+1
     316: 3q+1
     317: 1
     318: 1
     319: 1
     320: q+1
     321: q+1
     322: q+1
     323: q+1
     324: 3q+1
     325: q
     326: q+1
     327: q^2
     328: 1
     329: q
     330: q+1
     331: q^2
     332: 1
     333: 1
     334: q^2+1
     335: q+1
     336: 3q+1
     337: 3q+1
     338: 3q+1
     339: q^2+q+1
     340: 3q+1
     341: q^2+1
     342: q+1
     343: 1
     344: q+1
     345: 1
     351: 1
     355: 1
     357: 1
     359: 1
     360: q^2
     361: 1
     363: 1
     364: q
     365: q+1
     367: q+1
     368: q
     369: q+1
     371: 1
     372: q
     373: q+1
     375: q+1
     376: q
     377: q+1
     378: q^2
     379: 1
     381: 1
     383: 1
     384: q
     385: 2q+1
     386: q
     387: q+1
     388: q
     389: 2q+1
     390: 1
     391: 1
     392: 1
     393: q^2+1
     394: q
     395: q+1
     396: q^2
     397: 1
     398: q
     399: q+1
     400: q^2
     401: 1
     402: q+1
     403: 1
     404: 1
     405: 1
     406: q+1
     407: 3q+1
     408: 1
     409: 1
     410: 1
     411: q+1
     412: 3q+1
     421: 1
     422: 1
     423: 1
     424: q+1
     425: q+1
     426: q+1
     427: q+1
     428: 2
     429: 2
     430: 2
     432: q+1
     433: 1
     434: q+1
     435: 1
     436: q
     440: q+1
     445: 1
     449: 1
     451: 1
     452: q^2
     453: 1
     455: 1
     457: 1
     461: 1
     462: q
     463: q+1
     465: 1
     467: 1
     471: 1
     472: q
     473: q+1
     479: 1
     481: 1
     482: q
     483: q+1
     485: q+1
     486: q
     487: 2q+1
     489: 1
     490: 1
     491: 1
     492: 1
     493: 1
     494: 1
     497: 2
     498: 1
     507: 1
     508: 1
     509: 2
     510: 1
     511: 1
     512: 1
     513: q+1
     514: q+1
     515: 2
     516: 1
     517: 1
     518: 1
     519: q+1
     520: q+1
     521: 1
     522: 1
     523: 1
     524: q+1
     525: 1
     526: 1
     527: 1
     529: q
     533: q+1
     539: 1
     540: 1
     542: 1
     548: 1
     549: 1
     550: 1
     552: 1
     556: 1
     558: 1
     561: 1
     562: 1
     564: 1
     568: 1
     570: 1
     576: 2
     578: 1
     580: 1
     584: 1
     586: q+1
     597: 1
     598: 1
     599: 1
     600: 2
     601: 1
     602: 1
     603: 1
     604: 2
     605: 1
     606: 1
     607: 1
     608: 1
     609: 1
     610: q+1
     611: 1
     612: 1
     613: 1
     618: 1
     619: 1
     636: 1
     638: 1
     640: 2
     645: 1
     646: 1
     648: 1
     655: 1
     656: 1
     658: 1
     662: 1
     664: 1
     668: 1
     670: 1
     672: 1
     682: 1
     684: 1
     686: 1
     687: 1
     688: 1
     690: 1
     691: 1
     692: 1
     693: 2
     694: 1
     698: 1
     699: 1
     714: 1
     718: 1
     736: 1
     740: 1
     743: 1
     744: 1
     746: 1
     748: 1
     750: 2
     753: 1
     755: 1
     757: 1
     758: 1
     774: 1
     775: 1
     782: 1
     800: 1
     804: 1
     809: 1
     839: 1

840:   0: q+1
       1: q+1
       2: q^3+q^2+q+1
       3: q+1
       4: q+1
       5: q+1
       6: q+1
       7: q+1
       8: q^3+q^2+q+1
       9: q+1
      10: q+1
      11: q^5+1
      12: q^3+q^2+q+1
      13: q^5+1
      14: q^5+1
      15: q+1
      16: q+1
      17: q+1
      18: q^5+1
      19: q+1
      20: q+1
      21: q+1
      22: q^5+1
      23: q+1
      24: q+1
      25: 1
      26: 1
      27: q+1
      28: q+1
      29: q+1
      30: q^3+q^2+q+1
      31: q+1
      32: q+1
      33: q^3+q^2+q+1
      34: q+1
      35: q+1
      36: q+1
      37: q^3+q^2+q+1
      38: q+1
      39: 1
      40: q+1
      41: q+1
      42: q+1
      43: q+1
      44: q+1
      45: q+1
      46: q+1
      47: q+1
      48: q+1
      50: q+1
      52: q^3+q^2+q+1
      54: q+1
      56: q+1
      57: q+1
      58: q+1
      59: q^5+1
      60: q+1
      61: q+1
      62: 1
      63: 1
      64: q+1
      65: 1
      66: q+1
      67: 1
      68: q+1
      69: q+1
      70: q^3+q^2+q+1
      71: q+1
      72: q+1
      73: q+1
      74: q^3+q^2+q+1
      75: q+1
      76: q+1
      78: q+1
      80: q+1
      82: 1
      83: 1
      84: q+1
      85: 1
      86: q+1
      87: q+1
      88: q+1
      90: q+1
      92: q^3+q^2+q+1
      94: q+1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     100: q+1
     101: q+1
     102: q+1
     103: q+1
     104: q+1
     105: q+1
     106: 1
     107: 1
     108: q+1
     109: 1
     110: q+1
     111: 1
     112: q+1
     113: 1
     114: q+1
     115: 1
     116: q+1
     117: 1
     118: q+1
     119: 1
     120: q+1
     121: q+1
     122: q^3+q^2+q+1
     123: q+1
     124: q+1
     126: q+1
     128: q+1
     130: q+1
     132: q+1
     134: 1
     135: 1
     136: q+1
     138: 1
     140: q+1
     142: 1
     144: 1
     145: 1
     146: q+1
     147: q+1
     148: q+1
     149: 1
     150: 1
     151: q+1
     152: q+1
     153: q+1
     154: q+1
     155: 1
     156: 1
     157: q+1
     158: q+1
     159: q+1
     160: q+1
     161: q+1
     162: q+1
     164: q+1
     166: q^3+q^2+q+1
     168: q+1
     170: q+1
     171: 1
     172: q+1
     173: 1
     174: q+1
     175: 1
     176: q+1
     177: 1
     178: q+1
     179: 1
     180: q+1
     181: 1
     182: q+1
     183: 1
     184: q+1
     185: 1
     186: 1
     188: 1
     190: q+1
     192: q+1
     194: q+1
     196: q+1
     198: q+1
     200: q+1
     202: q+1
     204: q+1
     206: q+1
     208: 1
     210: q+1
     212: 1
     214: 1
     215: 1
     216: 1
     217: q+1
     218: 1
     219: q+1
     220: 1
     221: 1
     222: 1
     223: 1
     224: q+1
     225: q+1
     226: 1
     227: 1
     228: 1
     229: q+1
     230: q+1
     231: 1
     232: q+1
     234: 1
     236: q+1
     238: 1
     240: 1
     241: q+1
     242: q+1
     243: q+1
     244: q+1
     245: 1
     246: q+1
     247: 1
     248: q+1
     249: 1
     250: q+1
     251: 1
     252: q+1
     253: 1
     254: q+1
     255: 1
     256: q+1
     257: 1
     258: q+1
     259: 1
     260: 1
     262: 1
     264: 1
     266: q+1
     268: 1
     270: q+1
     272: q+1
     274: q+1
     276: q+1
     278: q+1
     280: 1
     282: 1
     284: q+1
     286: q+1
     288: q+1
     290: 1
     292: q+1
     294: 1
     296: 1
     297: 1
     298: 1
     299: 1
     300: 1
     301: q+1
     303: 1
     305: q+1
     307: 1
     309: 1
     310: 1
     311: 1
     312: q+1
     313: 1
     314: q+1
     315: 1
     316: q+1
     317: 1
     318: 1
     319: 1
     320: q+1
     321: 1
     322: q+1
     323: 1
     324: q+1
     325: q+1
     327: 1
     329: q+1
     331: 1
     333: 1
     334: 1
     335: 1
     336: q+1
     337: q+1
     338: q+1
     339: 1
     340: q+1
     341: 1
     342: q+1
     343: 1
     344: q+1
     345: 1
     346: 1
     348: 1
     350: 1
     352: q+1
     354: 1
     356: 1
     358: 1
     360: 1
     362: 1
     364: q+1
     366: q+1
     368: q+1
     370: 1
     372: q+1
     374: q+1
     376: q+1
     378: 1
     380: 1
     382: 1
     384: q+1
     386: q+1
     388: q+1
     390: 1
     391: 1
     392: 1
     393: 1
     394: q+1
     396: 1
     398: q+1
     400: 1
     402: 1
     403: 1
     404: 1
     405: 1
     406: 1
     407: q+1
     408: 1
     409: 1
     410: 1
     411: 1
     412: q+1
     413: q+1
     415: 1
     417: q+1
     419: 1
     421: 1
     422: 1
     423: 1
     424: q+1
     425: 1
     426: q+1
     427: 1
     432: q+1
     433: 1
     434: q+1
     435: 1
     436: q+1
     442: 1
     444: 1
     446: 1
     448: 1
     450: 1
     452: 1
     454: 1
     456: 1
     458: q+1
     460: 1
     462: q+1
     464: 1
     466: 1
     468: q+1
     470: 1
     472: q+1
     474: 1
     476: 1
     478: 1
     480: 1
     482: q+1
     484: q+1
     486: q+1
     498: 1
     499: q+1
     501: 1
     503: q+1
     505: 1
     507: 1
     508: 1
     510: 1
     511: 1
     512: 1
     513: q+1
     514: 1
     516: 1
     517: 1
     518: 1
     519: q+1
     520: 1
     521: 1
     522: 1
     523: 1
     524: 1
     529: q+1
     537: 1
     541: 1
     543: 1
     545: 1
     547: 1
     551: 1
     553: 1
     555: 1
     557: 1
     559: q+1
     563: 1
     565: 1
     567: 1
     569: 1
     571: q+1
     573: 1
     577: 1
     579: 1
     581: q+1
     583: 1
     585: q+1
     598: 1
     601: 1
     602: 1
     605: 1
     606: 1
     607: 1
     608: 1
     609: 1
     610: 1
     621: q+1
     633: 1
     635: 1
     637: 1
     643: 1
     647: 1
     649: 1
     653: 1
     657: 1
     659: 1
     663: 1
     665: 1
     667: 1
     669: 1
     671: 1
     687: 1
     691: 1
     692: 1
     694: 1
     713: 1
     715: 1
     725: 1
     733: 1
     737: 1
     739: 1
     741: 1
     745: 1
     747: 1
     758: 1
     783: 1
     795: 1
     799: 1
     801: 1
     840: 1

841:   0: q+1
       1: q+1
       2: q^3+q^2+q+1
       3: q+1
       4: q+1
       5: q+1
       6: q+1
       7: q+1
       8: q^3+q^2+q+1
       9: q+1
      10: q+1
      11: q^5+1
      12: q^3+q^2+q+1
      13: q^5+1
      14: q^5+1
      15: q+1
      16: q+1
      17: q+1
      18: q^5+1
      19: q+1
      20: q+1
      21: q+1
      22: q^5+1
      23: q+1
      24: q+1
      25: 1
      26: 1
      27: q+1
      28: q+1
      29: q+1
      30: q^3+q^2+q+1
      31: q+1
      32: q+1
      33: q^3+q^2+q+1
      34: q+1
      35: q+1
      36: q+1
      37: q^3+q^2+q+1
      38: q+1
      39: 1
      40: q+1
      41: q+1
      42: q+1
      43: q+1
      44: q+1
      45: q+1
      46: q+1
      47: q+1
      49: q+1
      51: q+1
      53: q^3+q^2+q+1
      55: q+1
      56: q+1
      57: q+1
      58: q+1
      59: q^5+1
      60: q+1
      61: q+1
      62: 1
      63: 1
      64: q+1
      65: 1
      66: q+1
      67: 1
      68: q+1
      69: q+1
      70: q^3+q^2+q+1
      71: q+1
      72: q+1
      73: q+1
      74: q^3+q^2+q+1
      75: q+1
      77: q+1
      79: q+1
      81: q+1
      82: 1
      83: 1
      84: q+1
      85: 1
      86: q+1
      87: q+1
      89: q+1
      91: q+1
      93: q^3+q^2+q+1
      95: q+1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     100: q+1
     101: q+1
     102: q+1
     103: q+1
     104: q+1
     105: q+1
     106: 1
     107: 1
     108: q+1
     109: 1
     110: q+1
     111: 1
     112: q+1
     113: 1
     114: q+1
     115: 1
     116: q+1
     117: 1
     118: q+1
     119: 1
     120: q+1
     121: q+1
     122: q^3+q^2+q+1
     123: q+1
     125: q+1
     127: q+1
     129: q+1
     131: q+1
     133: q+1
     134: 1
     135: 1
     137: q+1
     139: 1
     141: q+1
     143: 1
     144: 1
     145: 1
     146: q+1
     147: q+1
     148: q+1
     149: 1
     150: 1
     151: q+1
     152: q+1
     153: q+1
     154: q+1
     155: 1
     156: 1
     157: q+1
     158: q+1
     159: q+1
     160: q+1
     161: q+1
     163: q+1
     165: q+1
     167: q^3+q^2+q+1
     169: q+1
     170: q+1
     171: 1
     172: q+1
     173: 1
     174: q+1
     175: 1
     176: q+1
     177: 1
     178: q+1
     179: 1
     180: q+1
     181: 1
     182: q+1
     183: 1
     184: q+1
     185: 1
     187: 1
     189: 1
     191: q+1
     193: q+1
     195: q+1
     197: q+1
     199: q+1
     201: q+1
     203: q+1
     205: q+1
     207: q+1
     209: 1
     211: q+1
     213: 1
     214: 1
     215: 1
     216: 1
     217: q+1
     218: 1
     219: q+1
     220: 1
     221: 1
     222: 1
     223: 1
     224: q+1
     225: q+1
     226: 1
     227: 1
     228: 1
     229: q+1
     230: q+1
     231: 1
     233: q+1
     235: 1
     237: q+1
     239: 1
     240: 1
     241: q+1
     242: q+1
     243: q+1
     244: q+1
     245: 1
     246: q+1
     247: 1
     248: q+1
     249: 1
     250: q+1
     251: 1
     252: q+1
     253: 1
     254: q+1
     255: 1
     256: q+1
     257: 1
     258: q+1
     259: 1
     261: 1
     263: 1
     265: 1
     267: q+1
     269: 1
     271: q+1
     273: q+1
     275: q+1
     277: q+1
     279: q+1
     281: 1
     283: 1
     285: q+1
     287: q+1
     289: q+1
     291: 1
     293: q+1
     295: 1
     296: 1
     297: 1
     298: 1
     299: 1
     300: 1
     302: q+1
     304: 1
     306: q+1
     308: 1
     309: 1
     310: 1
     311: 1
     312: q+1
     313: 1
     314: q+1
     315: 1
     316: q+1
     317: 1
     318: 1
     319: 1
     320: q+1
     321: 1
     322: q+1
     323: 1
     324: q+1
     326: q+1
     328: 1
     330: q+1
     332: 1
     333: 1
     334: 1
     335: 1
     336: q+1
     337: q+1
     338: q+1
     339: 1
     340: q+1
     341: 1
     342: q+1
     343: 1
     344: q+1
     345: 1
     347: 1
     349: 1
     351: 1
     353: q+1
     355: 1
     357: 1
     359: 1
     361: 1
     363: 1
     365: q+1
     367: q+1
     369: q+1
     371: 1
     373: q+1
     375: q+1
     377: q+1
     379: 1
     381: 1
     383: 1
     385: q+1
     387: q+1
     389: q+1
     390: 1
     391: 1
     392: 1
     393: 1
     395: q+1
     397: 1
     399: q+1
     401: 1
     402: 1
     403: 1
     404: 1
     405: 1
     406: 1
     407: q+1
     408: 1
     409: 1
     410: 1
     411: 1
     412: q+1
     414: q+1
     416: 1
     418: q+1
     420: 1
     421: 1
     422: 1
     423: 1
     424: q+1
     425: 1
     426: q+1
     427: 1
     432: q+1
     433: 1
     434: q+1
     435: 1
     440: q+1
     443: 1
     445: 1
     447: 1
     449: 1
     451: 1
     453: 1
     455: 1
     457: 1
     459: q+1
     461: 1
     463: q+1
     465: 1
     467: 1
     469: q+1
     471: 1
     473: q+1
     475: 1
     477: 1
     479: 1
     481: 1
     483: q+1
     485: q+1
     487: q+1
     498: 1
     500: q+1
     502: 1
     504: q+1
     506: 1
     507: 1
     508: 1
     510: 1
     511: 1
     512: 1
     513: q+1
     514: 1
     516: 1
     517: 1
     518: 1
     519: q+1
     520: 1
     521: 1
     522: 1
     523: 1
     524: 1
     533: q+1
     538: 1
     542: 1
     544: 1
     546: 1
     548: 1
     552: 1
     554: 1
     556: 1
     558: 1
     560: q+1
     564: 1
     566: 1
     568: 1
     570: 1
     572: q+1
     574: 1
     578: 1
     580: 1
     582: q+1
     584: 1
     586: q+1
     598: 1
     601: 1
     602: 1
     605: 1
     606: 1
     607: 1
     608: 1
     609: 1
     610: 1
     625: q+1
     634: 1
     636: 1
     638: 1
     644: 1
     648: 1
     650: 1
     654: 1
     658: 1
     660: 1
     664: 1
     666: 1
     668: 1
     670: 1
     672: 1
     687: 1
     691: 1
     692: 1
     694: 1
     714: 1
     716: 1
     726: 1
     734: 1
     738: 1
     740: 1
     742: 1
     746: 1
     748: 1
     758: 1
     784: 1
     796: 1
     800: 1
     802: 1
     841: 1

842:   0: 2q+2
       1: 2q^2+2
       2: 2q+2
       3: 2q+2
       4: 2q+2
       5: 2q^2+2
       6: 2q^2+2
       7: 2q^2+2
       8: 2q+2
       9: 2q^2+2
      10: 2q^2+2
      11: 2q^2+2
      12: 2q+2
      13: 2q^2+2
      14: q^5+q^3+q^2+1
      15: 2q^2+2
      16: 2q^2+2
      17: 2q^2+2
      18: 2q^2+2
      19: 2
      20: 2
      21: 2
      22: q^2+1
      23: 2q+2
      24: 2q+2
      25: 2q^2+2
      26: 2q^2+2
      27: 2q+2
      28: 2q^2+2
      29: 2q^2+2
      30: 2q+2
      31: 2q+2
      32: 2q^2+2
      33: 2q+2
      34: 2q^2+2
      35: 2q+2
      36: 2q^2+2
      37: 2q+2
      38: 2q^2+2
      39: 2q^2+2
      40: 2q^2+2
      41: 2
      42: 2q^2+2
      43: 2
      44: 2q+2
      45: 2q^2+2
      46: 2
      47: 2q+2
      48: q+1
      49: q+1
      50: q^2+1
      51: q^2+1
      52: q+1
      53: q+1
      54: q^2+1
      55: q^2+1
      56: 2
      57: 2
      58: 2
      59: q^2+1
      60: 2
      61: 2
      62: 2
      63: q^2+1
      64: 2q+2
      65: 2q^2+2
      66: 2q+2
      67: 2q^2+2
      68: 2q+2
      69: 2q^2+2
      70: 2q+2
      71: 2q^2+2
      72: 2q+2
      73: 2q^2+2
      74: 2q+2
      75: 2q^2+2
      76: q^2+1
      77: q^2+1
      78: 1
      79: 1
      80: q+1
      81: q+1
      82: 1
      83: 2
      84: 2
      85: 2q^2+2
      86: 2q+2
      87: 2q+2
      88: q+1
      89: q+1
      90: q^2+1
      91: q^2+1
      92: q+1
      93: q+1
      94: q^2+1
      95: q^2+1
      96: 2
      97: 2
      98: 2q^2+2
      99: 2
     100: 2
     101: 2
     102: 2q^2+2
     103: 2
     104: 2
     105: 2
     106: 2
     107: q^2+1
     108: 2
     109: 2
     110: 2
     111: q^2+1
     112: 2q+2
     113: 2q^2+2
     114: 2q+2
     115: 2q^2+2
     116: 2q+2
     117: 2q^2+2
     118: 2q+2
     119: 2q^2+2
     120: 2q+2
     121: 2q^2+2
     122: 2q+2
     123: 2q^2+2
     124: q+1
     125: q+1
     126: q^2+1
     127: q^2+1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 1
     134: 1
     135: 2
     136: q+1
     137: q+1
     138: q^2+1
     139: q^2+1
     140: q+1
     141: q+1
     142: q^2+1
     143: q^2+1
     144: 1
     145: 2
     146: 2
     147: 2
     148: 2
     149: 2
     150: 2q^2+2
     151: 2q+2
     152: 2
     153: 2q+2
     154: 2
     155: 2
     156: 2q^2+2
     157: 2
     158: 2q+2
     159: 2q+2
     160: 2q^2+2
     161: 2
     162: q+1
     163: q+1
     164: q^2+1
     165: q^2+1
     166: q+1
     167: q+1
     168: q^2+1
     169: q^2+1
     170: 2
     171: 2
     172: 2
     173: q^2+1
     174: 2
     175: 2
     176: 2
     177: q^2+1
     178: 2
     179: 2
     180: 2
     181: q^2+1
     182: 2q+2
     183: 2q^2+2
     184: 2q+2
     185: 2q^2+2
     186: 1
     187: 1
     188: q^2+1
     189: q^2+1
     190: q+1
     191: q+1
     192: 1
     193: 1
     194: 1
     195: 1
     196: q+1
     197: q+1
     198: q+1
     199: q+1
     200: 1
     201: 1
     202: q^2+1
     203: q^2+1
     204: 1
     205: 1
     214: 1
     215: 1
     216: 2
     217: 2
     218: 2
     219: 2
     220: 2
     221: 2
     222: 1
     223: 2
     224: 2
     225: 2
     226: 2
     227: 1
     228: 2
     229: 2
     230: 2
     231: 2
     232: q+1
     233: q+1
     234: q^2+1
     235: q^2+1
     236: q+1
     237: q+1
     238: q^2+1
     239: q^2+1
     240: 2q^2+2
     241: 2q+2
     242: 2q+2
     243: 2
     244: 2q+2
     245: 2q^2+2
     246: 2q+2
     247: 2q^2+2
     248: 2
     249: 2
     250: 2
     251: q^2+1
     252: 2
     253: 2
     254: 2
     255: q^2+1
     256: 2
     257: 2
     258: 2
     259: q^2+1
     264: 1
     265: 1
     268: 1
     269: 1
     270: 1
     271: 1
     272: q+1
     273: q+1
     274: 1
     275: 1
     276: q+1
     277: q+1
     278: 1
     279: 1
     280: 1
     281: 1
     282: q^2+1
     283: q^2+1
     284: q+1
     285: q+1
     286: 1
     287: 1
     296: 1
     297: 2
     298: 2
     299: 2
     300: 2q^2+2
     301: q+1
     302: q+1
     303: q^2+1
     304: q^2+1
     305: q+1
     306: q+1
     307: q^2+1
     308: q^2+1
     309: 1
     310: 1
     311: 2
     312: 2
     313: 2
     314: 2
     315: 2
     316: 2q+2
     317: 1
     318: 1
     319: 2
     320: 2
     321: 2
     322: 2
     323: 2
     324: 2q+2
     333: 2
     334: 1
     335: 2
     336: 2
     337: 2
     338: 2
     339: 2
     340: 2
     341: q^2+1
     342: 2
     343: 2
     344: 2
     345: q^2+1
     356: 1
     357: 1
     358: 1
     359: 1
     360: q^2+1
     361: q^2+1
     362: 1
     363: 1
     366: 1
     367: 1
     368: q+1
     369: q+1
     370: 1
     371: 1
     374: 1
     375: 1
     376: q+1
     377: q+1
     382: 1
     383: 1
     384: 1
     385: 1
     386: q+1
     387: q+1
     388: q+1
     389: q+1
     390: 1
     391: 1
     392: 2
     393: 1
     402: 2
     403: 1
     404: 2
     405: 2
     406: 2
     407: 2
     408: 1
     409: 2
     410: 2
     411: 2
     412: 2
     421: 1
     422: 1
     423: 2
     424: 2
     425: 2
     426: 2
     427: 2
     428: 2
     429: 2
     430: 2
     431: q^2+1
     432: 2
     433: 2
     434: 2
     435: q^2+1
     436: q+1
     440: q+1
     450: 1
     451: 1
     456: 1
     457: 1
     460: 1
     461: 1
     466: 1
     467: 1
     470: 1
     471: 1
     480: 1
     481: 1
     484: 1
     485: 1
     486: 1
     487: 1
     488: 1
     497: 2
     498: 1
     507: 1
     508: 2
     509: 2
     510: 1
     511: 1
     512: 2
     513: 2
     514: 2
     515: 2
     516: 1
     517: 1
     518: 2
     519: 2
     520: 2
     521: 1
     522: 2
     523: 2
     524: 2
     525: 2
     526: 2
     527: 2
     528: q^2+1
     547: 1
     548: 1
     557: 1
     558: 1
     569: 1
     570: 1
     575: 1
     576: 1
     579: 1
     580: 1
     583: 1
     584: 1
     585: 1
     586: 1
     595: 1
     596: 1
     597: 2
     598: 1
     599: 2
     600: 2
     601: 1
     602: 2
     603: 2
     604: 2
     605: 1
     606: 2
     607: 1
     608: 1
     609: 2
     610: 2
     635: 1
     636: 1
     639: 1
     640: 1
     661: 1
     662: 1
     669: 1
     670: 1
     671: 1
     672: 1
     683: 1
     685: 1
     686: 2
     687: 1
     689: 1
     690: 2
     691: 1
     692: 1
     693: 2
     694: 2
     717: 1
     718: 1
     745: 1
     746: 1
     749: 1
     750: 1
     752: 1
     754: 1
     756: 1
     757: 2
     758: 1
     803: 1
     804: 1
     805: 1
     808: 1
     842: 1

843:   0: 6q+2
       1: 6q+2
       2: 6q+2
       3: 2q^2+4q+2
       4: 6q+2
       5: 2q^3+4q+2
       6: 2q^2+4q+2
       7: 6q+2
       8: 6q+2
       9: q^4+q^3+q^2+3q+2
      10: 2q^3+4q+2
      11: 2q^2+4q+2
      12: 2q^2+4q+2
      13: q^4+q^3+q^2+3q+2
      14: q^4+q^3+q^2+3q+2
      15: 4q+2
      16: q^2+3q+2
      17: 4q+2
      18: q^2+3q+2
      19: 6q+2
      20: 2q^2+4q+2
      21: 6q+2
      22: q^4+q^3+q^2+3q+2
      23: 6q+2
      24: 6q+2
      25: 2q^2+4q+2
      26: q^4+q^3+q^2+3q+2
      27: 4q+2
      28: 4q+2
      29: q^3+3q+2
      30: 4q+2
      31: 6q+2
      32: 6q+2
      33: 6q+2
      34: 2q^3+4q+2
      35: 6q+2
      36: 6q+2
      37: 6q+2
      38: 2q^3+4q+2
      39: q^2+3q+2
      40: 3q+2
      41: 4q+2
      42: 4q+2
      43: 6q+2
      44: 6q+2
      45: 4q+2
      46: 6q+2
      47: 6q+2
      48: 3q+1
      49: 3q+1
      50: 3q+1
      51: 3q+1
      52: 3q+1
      53: 3q+1
      54: q^3+2q+1
      55: q^3+2q+1
      56: 4q+2
      57: q^2+3q+2
      58: 4q+2
      59: q^2+3q+2
      60: 6q+2
      61: 6q+2
      62: 2q^2+4q+2
      63: q^4+q^3+q^2+3q+2
      64: 4q+2
      65: 4q+2
      66: 4q+2
      67: q^3+3q+2
      68: 4q+2
      69: 4q+2
      70: 4q+2
      71: q^3+3q+2
      72: 4q+2
      73: 4q+2
      74: 4q+2
      75: q^3+3q+2
      76: 2q+1
      77: 2q+1
      78: 3q+1
      79: 3q+1
      80: 3q+1
      81: 3q+1
      82: q^2+3q+2
      83: 4q+2
      84: 3q+2
      85: 3q+2
      86: 2q+2
      87: 2q+2
      88: q+1
      89: q+1
      90: q+1
      91: q+1
      92: q+1
      93: q+1
      94: q+1
      95: q+1
      96: 4q+2
      97: 6q+2
      98: 3q+2
      99: 4q+2
     100: 4q+2
     101: 6q+2
     102: 3q+2
     103: 4q+2
     104: 4q+2
     105: 4q+2
     106: q^2+3q+2
     107: q^2+3q+2
     108: 4q+2
     109: 4q+2
     110: 4q+2
     111: q^3+3q+2
     112: 4q+2
     113: 4q+2
     114: 4q+2
     115: q^3+3q+2
     116: 4q+2
     117: 4q+2
     118: 4q+2
     119: q^3+3q+2
     120: 4q+2
     121: 4q+2
     122: 4q+2
     123: q^3+3q+2
     124: 1
     125: 1
     126: q+1
     127: q+1
     128: q+1
     129: q+1
     130: 2q+1
     131: 2q+1
     132: 3q+1
     133: 3q+1
     134: q^2+3q+2
     135: 3q+2
     136: q+1
     137: q+1
     138: q+1
     139: q+1
     140: q+1
     141: q+1
     142: q+1
     143: q+1
     144: 3q+2
     145: 4q+2
     146: 2q+2
     147: 2q+2
     148: 4q+2
     149: 4q+2
     150: 3q+2
     151: 2q+2
     152: 3q+2
     153: 2q+2
     154: 4q+2
     155: 4q+2
     156: 3q+2
     157: 3q+2
     158: 2q+2
     159: 2q+2
     160: 3q+2
     161: 4q+2
     162: q+1
     163: q+1
     164: q+1
     165: q+1
     166: q+1
     167: q+1
     168: q+1
     169: q+1
     170: 2q+2
     171: 2q+2
     172: 2q+2
     173: 2q+2
     174: 4q+2
     175: 4q+2
     176: 4q+2
     177: q^3+3q+2
     178: 4q+2
     179: 4q+2
     180: 4q+2
     181: q^3+3q+2
     182: 4q+2
     183: 4q+2
     184: 4q+2
     185: q^3+3q+2
     186: q+1
     187: q+1
     188: q+1
     189: q+1
     190: 1
     191: 1
     192: 1
     193: 1
     194: q+1
     195: q+1
     196: 1
     197: 1
     198: 1
     199: 1
     200: 2q+1
     201: 2q+1
     202: q+1
     203: q+1
     204: q+1
     205: q+1
     206: q+1
     207: q+1
     208: q+1
     209: q+1
     210: q+1
     211: q+1
     212: q+1
     213: q+1
     214: 3q+2
     215: 2q+2
     216: 2q+2
     217: q+2
     218: 2q+2
     219: q+2
     220: 2q+2
     221: 3q+2
     222: 3q+2
     223: 4q+2
     224: 2q+2
     225: 2q+2
     226: 3q+2
     227: 3q+2
     228: 4q+2
     229: 2q+2
     230: 2q+2
     231: 4q+2
     232: q+1
     233: q+1
     234: q+1
     235: q+1
     236: q+1
     237: q+1
     238: q+1
     239: q+1
     240: 3q+2
     241: 2q+2
     242: 2q+2
     243: 3q+2
     244: 4
     245: 2q+2
     246: 4
     247: 2q+2
     248: 2q+2
     249: 2q+2
     250: 2q+2
     251: 2q+2
     252: 2q+2
     253: 2q+2
     254: 2q+2
     255: 2q+2
     256: 4q+2
     257: 4q+2
     258: 4q+2
     259: q^3+3q+2
     260: q+1
     261: q+1
     262: q+1
     263: q+1
     264: q+1
     265: q+1
     266: 1
     267: 1
     268: 1
     269: 1
     270: 1
     271: 1
     272: 1
     273: 1
     274: 1
     275: 1
     276: 1
     277: 1
     278: 1
     279: 1
     280: q+1
     281: q+1
     282: q+1
     283: q+1
     284: 1
     285: 1
     286: q+1
     287: q+1
     296: 2q+2
     297: q+2
     298: q+2
     299: 2
     300: 2q+2
     301: 2
     302: 2
     303: q+1
     304: q+1
     305: 2
     306: 2
     307: q+1
     308: q+1
     309: 3q+2
     310: 2q+2
     311: 2q+2
     312: q+2
     313: 2q+2
     314: q+2
     315: 2q+2
     316: 4
     317: 3q+2
     318: 2q+2
     319: 2q+2
     320: q+2
     321: 2q+2
     322: q+2
     323: 2q+2
     324: 4
     325: q+1
     326: q+1
     327: q+1
     328: q+1
     329: q+1
     330: q+1
     331: q+1
     332: q+1
     333: 3q+2
     334: 3q+2
     335: 4q+2
     336: 2q+2
     337: 2q+2
     338: 4
     339: 2q+2
     340: 4
     341: 2q+2
     342: 2q+2
     343: 2q+2
     344: 2q+2
     345: 2q+2
     350: q+1
     351: q+1
     354: 1
     355: 1
     356: 1
     357: 1
     358: 1
     359: 1
     360: q+1
     361: q+1
     362: 1
     363: 1
     364: 1
     365: 1
     366: 1
     367: 1
     368: 2
     369: 2
     370: 1
     371: 1
     372: 1
     373: 1
     374: 1
     375: 1
     376: 2
     377: 2
     378: q+1
     379: q+1
     380: q+1
     381: q+1
     382: q+1
     383: q+1
     384: 1
     385: 1
     386: 1
     387: 1
     388: 2
     389: 2
     390: q+2
     391: q+2
     392: 2
     393: 2q+2
     394: 2
     395: 2
     396: q+1
     397: q+1
     398: 2
     399: 2
     400: q+1
     401: q+1
     402: 2
     403: 2q+2
     404: q+2
     405: q+2
     406: 2
     407: 4
     408: 2q+2
     409: q+2
     410: q+2
     411: 2
     412: 4
     421: 3q+2
     422: 2q+2
     423: 2q+2
     424: q+2
     425: 2q+2
     426: q+2
     427: 2q+2
     428: 4
     429: 2q+2
     430: 4
     431: 2q+2
     432: 2
     433: q+1
     434: 2
     435: q+1
     436: 1
     437: 1
     439: 1
     440: 1
     444: 1
     445: 1
     448: 1
     449: 1
     450: 1
     451: 1
     452: q+1
     453: q+1
     454: 1
     455: 1
     456: 1
     457: 1
     460: 1
     461: 1
     462: 2
     463: 2
     464: 1
     465: 1
     466: 1
     467: 1
     470: 1
     471: 1
     472: 2
     473: 2
     478: q+1
     479: q+1
     480: 1
     481: 1
     482: 1
     483: 1
     484: 1
     485: 1
     486: 2
     487: 2
     488: 2q+2
     489: 2
     490: 2
     491: q+1
     492: q+1
     493: 2
     494: 2
     495: q+1
     496: q+1
     497: 2
     498: 2
     507: q+1
     508: 1
     509: 4
     510: q+2
     511: q+2
     512: 2
     513: 2
     514: 2
     515: 4
     516: q+2
     517: q+2
     518: 2
     519: 2
     520: 2
     521: 2q+2
     522: q+2
     523: q+2
     524: 2
     525: 2
     526: q+1
     527: 2
     528: q+1
     529: 1
     530: 1
     532: 1
     533: 1
     535: q+1
     536: q+1
     539: 1
     540: 1
     541: 1
     542: 1
     549: 2
     550: 2
     551: 1
     552: 1
     555: 1
     556: 1
     557: 1
     558: 1
     561: 2
     562: 2
     563: 1
     564: 1
     567: 1
     568: 1
     569: 1
     570: 1
     575: 2
     576: 2
     577: 1
     578: 1
     579: 1
     580: 1
     583: 1
     584: 1
     585: 1
     586: 1
     595: q+1
     596: 2
     597: 1
     598: 1
     599: 2
     600: 2
     601: 2
     602: 1
     603: 2
     604: 2
     605: 2
     606: 1
     607: q+2
     608: q+2
     609: 2
     610: 2
     611: 2
     612: q+1
     613: 2
     614: q+1
     615: 1
     616: 1
     618: 1
     619: 1
     629: 1
     630: 1
     645: 1
     646: 1
     647: 1
     648: 1
     655: 1
     656: 1
     657: 1
     658: 1
     661: 1
     662: 1
     663: 1
     664: 1
     667: 1
     668: 1
     669: 1
     670: 1
     681: q+1
     682: 1
     683: 1
     684: 2
     685: 2
     686: 1
     687: 1
     688: 2
     689: 2
     690: 1
     691: 1
     692: 2
     693: 2
     694: 1
     721: 1
     722: 1
     729: 1
     730: 1
     735: 1
     736: 1
     739: 1
     740: 1
     743: 1
     744: 1
     751: 1
     752: 1
     753: 1
     754: 1
     755: 1
     756: 2
     757: 1
     758: 1
     793: 1
     794: 1
     806: 1
     807: 1
     808: 1
     809: 1
     843: 1

844:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q^2+q+1
       5: q+1
       6: q+1
       7: q^2+q+1
       8: q^2+q+1
       9: q+1
      10: q^2+q+1
      11: q+1
      12: q^2+q+1
      13: q+1
      14: q+1
      15: q+1
      16: q+1
      17: q^2+q+1
      18: q+1
      19: q+1
      20: q+1
      21: q^2+q+1
      22: q+1
      23: q+1
      24: q^2+q+1
      25: q+1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      30: q^2+q+1
      31: q+1
      32: q+1
      33: q+1
      34: q+1
      35: q+1
      36: q+1
      37: q+1
      38: q+1
      39: q+1
      40: q+1
      41: q+1
      42: q+1
      43: q+1
      44: q+1
      45: q+1
      46: q+1
      47: q+1
      48: q+1
      50: q+1
      52: q+1
      54: q+1
      56: q+1
      57: q+1
      58: q^2+q+1
      59: q+1
      60: q+1
      61: q^2+q+1
      62: q+1
      63: q+1
      64: q+1
      65: q+1
      66: q^2+q+1
      67: q+1
      68: q+1
      69: q+1
      70: q+1
      71: q+1
      72: q+1
      73: q+1
      74: q+1
      75: q+1
      76: q+1
      78: q+1
      80: q+1
      82: q+1
      83: q+1
      84: q+1
      85: q+1
      86: q+1
      87: q+1
      88: q+1
      90: q+1
      92: q+1
      94: q+1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     100: q+1
     101: q+1
     102: q+1
     103: q+1
     104: q+1
     105: q^2+q+1
     106: q+1
     107: q+1
     108: q+1
     109: q+1
     110: q^2+q+1
     111: q+1
     112: q+1
     113: q+1
     114: q+1
     115: q+1
     116: q+1
     117: q+1
     118: q+1
     119: q+1
     120: 1
     121: 1
     122: q+1
     123: 1
     124: q+1
     126: q+1
     128: q+1
     130: q+1
     132: q+1
     134: q+1
     135: q+1
     136: q+1
     138: q+1
     140: q+1
     142: q+1
     144: q+1
     145: q+1
     146: q+1
     147: q+1
     148: q+1
     149: q+1
     150: q+1
     151: 1
     152: q+1
     153: q+1
     154: q+1
     155: q+1
     156: q+1
     157: q+1
     158: q+1
     159: 1
     160: 1
     161: 1
     162: 1
     164: 1
     166: q+1
     168: 1
     170: q+1
     171: q+1
     172: q^2+q+1
     173: q+1
     174: q+1
     175: q+1
     176: q+1
     177: q+1
     178: q+1
     179: q+1
     180: q+1
     181: q+1
     182: 1
     183: 1
     184: q+1
     185: 1
     186: q+1
     188: q+1
     190: q+1
     192: q+1
     194: q+1
     196: 1
     198: 1
     200: q+1
     202: 1
     204: 1
     206: q+1
     208: q+1
     210: q+1
     212: q+1
     214: q+1
     215: q+1
     216: q+1
     217: q+1
     218: q+1
     219: q+1
     220: q+1
     221: q+1
     222: q+1
     223: q+1
     224: 1
     225: q+1
     226: q+1
     227: q+1
     228: q+1
     229: q+1
     230: 1
     231: 1
     232: 1
     234: 1
     236: q+1
     238: 1
     240: 1
     241: 1
     242: 1
     243: 1
     244: 1
     245: 1
     246: q+1
     247: 1
     248: q+1
     249: q+1
     250: q+1
     251: q+1
     252: q+1
     253: q+1
     254: q+1
     255: q+1
     256: 1
     257: 1
     258: q+1
     259: 1
     260: q+1
     262: q+1
     264: q+1
     266: q+1
     268: q+1
     270: q+1
     272: 1
     274: 1
     276: 1
     278: 1
     280: 1
     282: 1
     284: 1
     286: 1
     288: q+1
     290: q+1
     292: q+1
     294: q+1
     296: q+1
     297: q+1
     298: q+1
     299: 1
     300: 1
     301: 1
     303: 1
     305: q+1
     307: 1
     309: q+1
     310: q+1
     311: q+1
     312: 1
     313: 1
     314: q+1
     315: q+1
     316: 1
     317: q+1
     318: q+1
     319: q+1
     320: q+1
     321: q+1
     322: 1
     323: 1
     324: 1
     325: 1
     327: 1
     329: q+1
     331: 1
     333: 1
     334: 1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: q+1
     341: 1
     342: 1
     343: 1
     344: q+1
     345: 1
     346: q+1
     348: q+1
     350: q+1
     352: q+1
     354: q+1
     356: q+1
     358: 1
     360: 1
     362: 1
     364: 1
     366: 1
     368: 1
     370: 1
     372: 1
     374: 1
     376: 1
     378: 1
     380: 1
     382: 1
     384: 1
     386: 1
     388: 1
     390: q+1
     391: q+1
     392: 1
     393: 1
     394: 1
     396: 1
     398: q+1
     400: 1
     402: 1
     403: q+1
     404: 1
     405: q+1
     406: 1
     407: 1
     408: q+1
     409: q+1
     410: 1
     411: 1
     412: 1
     413: 1
     415: 1
     417: q+1
     419: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     426: 1
     427: 1
     428: 1
     429: 1
     430: q+1
     431: 1
     432: 1
     433: 1
     434: q+1
     435: 1
     436: 1
     442: q+1
     444: q+1
     446: q+1
     448: 1
     450: 1
     452: 1
     454: 1
     456: 1
     458: 1
     460: 1
     462: 1
     464: 1
     466: 1
     468: 1
     470: 1
     472: 1
     474: 1
     476: 1
     478: 1
     480: 1
     482: 1
     484: 1
     486: 1
     488: 1
     489: 1
     491: 1
     493: q+1
     495: 1
     497: 1
     498: 1
     499: 1
     501: 1
     503: q+1
     505: 1
     507: 1
     508: 1
     509: 1
     510: 1
     511: q+1
     512: 1
     513: 1
     514: 1
     515: 1
     516: q+1
     517: 1
     518: 1
     519: 1
     520: 1
     521: 1
     522: 1
     523: 1
     525: 1
     526: 1
     527: q+1
     528: 1
     529: 1
     535: 1
     537: q+1
     539: 1
     541: 1
     543: 1
     545: 1
     547: 1
     549: 1
     551: 1
     553: 1
     555: 1
     557: 1
     559: 1
     561: 1
     563: 1
     565: 1
     567: 1
     569: 1
     571: 1
     573: 1
     575: 1
     577: 1
     579: 1
     581: 1
     585: 1
     587: 1
     589: 1
     591: q+1
     593: 1
     595: 1
     596: 1
     597: 1
     598: 1
     599: 1
     600: 1
     601: 1
     602: 1
     603: 1
     604: 1
     605: 1
     606: 1
     607: 1
     608: 1
     611: 1
     612: 1
     613: q+1
     614: 1
     615: 1
     621: 1
     627: 1
     629: 1
     631: 1
     633: 1
     635: 1
     637: 1
     639: 1
     641: 1
     643: 1
     645: 1
     647: 1
     649: 1
     651: 1
     653: 1
     655: 1
     657: 1
     659: 1
     661: 1
     663: 1
     665: 1
     673: 1
     675: 1
     677: q+1
     679: 1
     681: 1
     682: 1
     683: 1
     684: 1
     685: 1
     686: 1
     687: 1
     688: 1
     689: 1
     690: 1
     691: 1
     695: 1
     701: 1
     707: 1
     709: 1
     711: 1
     713: 1
     715: 1
     717: 1
     719: 1
     721: 1
     723: 1
     725: 1
     727: 1
     729: 1
     731: 1
     733: 1
     735: 1
     737: 1
     751: 1
     752: 1
     753: 1
     754: 1
     755: 1
     759: 1
     765: 1
     777: 1
     779: 1
     781: 1
     783: 1
     785: 1
     787: 1
     789: 1
     791: 1
     806: 1
     807: 1
     810: 1
     822: 1
     824: 1
     828: 1
     830: 1
     844: 1

845:   0: 2q^3+5q^2+3q
       1: q^3+4q^2+3q
       2: 2q^3+5q^2+3q
       3: 2q^3+5q^2+3q
       4: 3q^3+5q^2+3q
       5: q^3+4q^2+3q
       6: q^3+4q^2+3q
       7: q^4+2q^3+4q^2+3q
       8: 3q^3+5q^2+3q
       9: q^3+4q^2+3q
      10: q^4+2q^3+4q^2+3q
      11: q^3+4q^2+3q
      12: 3q^3+5q^2+3q
      13: q^3+4q^2+3q
      14: q^4+q^3+2q^2+2q
      15: q^3+4q^2+3q
      16: q^3+4q^2+3q
      17: q^4+2q^3+4q^2+3q
      18: q^3+4q^2+3q
      19: 4q^2+3q
      20: 4q^2+3q
      21: q^3+4q^2+3q
      22: q^3+2q^2+2q
      23: 2q^3+5q^2+3q
      24: 3q^3+5q^2+3q
      25: q^3+4q^2+3q
      26: q^3+4q^2+3q
      27: 2q^3+5q^2+3q
      28: q^3+4q^2+3q
      29: q^3+4q^2+3q
      30: 3q^3+5q^2+3q
      31: q^3+4q^2+3q
      32: q^3+3q^2+3q
      33: q^3+4q^2+3q
      34: q^3+3q^2+3q
      35: q^3+4q^2+3q
      36: q^3+3q^2+3q
      37: q^3+4q^2+3q
      38: q^3+3q^2+3q
      39: q^3+4q^2+3q
      40: q^3+4q^2+3q
      41: 4q^2+3q
      42: q^3+3q^2+3q
      43: 3q^2+3q
      44: q^3+4q^2+3q
      45: q^3+3q^2+3q
      46: 3q^2+3q
      47: q^3+4q^2+3q
      48: q^2+q
      49: 2q^2+2q
      50: q^2+q
      51: q^3+q^2+2q
      52: q^2+q
      53: 2q^2+2q
      54: q^2+q
      55: q^3+q^2+2q
      56: 4q^2+3q
      57: 4q^2+3q
      58: q^3+4q^2+3q
      59: q^3+2q^2+2q
      60: 4q^2+3q
      61: q^3+4q^2+3q
      62: 4q^2+3q
      63: q^3+2q^2+2q
      64: 2q^3+5q^2+3q
      65: q^3+4q^2+3q
      66: 3q^3+5q^2+3q
      67: q^3+4q^2+3q
      68: q^3+4q^2+3q
      69: q^3+3q^2+3q
      70: q^3+4q^2+3q
      71: q^3+3q^2+3q
      72: q^3+4q^2+3q
      73: q^3+3q^2+3q
      74: q^3+4q^2+3q
      75: q^3+3q^2+3q
      76: q^2+q
      77: q^3+q^2+2q
      78: q^2+q
      79: q^2+2q
      80: q^2+q
      81: 2q^2+2q
      82: 2q^2+2q
      83: 4q^2+3q
      84: 4q^2+3q
      85: q^3+4q^2+3q
      86: q^3+4q^2+3q
      87: q^3+4q^2+3q
      88: q^2+q
      89: 2q^2+2q
      90: q^2+q
      91: q^3+q^2+2q
      92: q^2+q
      93: 2q^2+2q
      94: q^2+q
      95: q^3+q^2+2q
      96: 3q^2+3q
      97: 3q^2+3q
      98: q^3+3q^2+3q
      99: 3q^2+3q
     100: 3q^2+3q
     101: 3q^2+3q
     102: q^3+3q^2+3q
     103: 3q^2+3q
     104: 4q^2+3q
     105: q^3+4q^2+3q
     106: 4q^2+3q
     107: q^3+2q^2+2q
     108: 4q^2+3q
     109: 4q^2+3q
     110: q^3+4q^2+3q
     111: q^3+2q^2+2q
     112: q^3+4q^2+3q
     113: q^3+3q^2+3q
     114: q^3+4q^2+3q
     115: q^3+3q^2+3q
     116: q^3+4q^2+3q
     117: q^3+3q^2+3q
     118: q^3+4q^2+3q
     119: q^3+3q^2+3q
     120: 2q^2+3q
     121: q^2+3q
     122: 3q^2+3q
     123: q^2+3q
     124: q^2+q
     125: 2q^2+2q
     126: q^2+q
     127: q^3+q^2+2q
     128: q^2+q
     129: q^2+2q
     130: q^2+q
     131: q^2+2q
     132: q^2+q
     133: q^2+2q
     134: 2q^2+2q
     135: 4q^2+3q
     136: q^2+q
     137: 2q^2+2q
     138: q^2+q
     139: q^3+q^2+2q
     140: q^2+q
     141: 2q^2+2q
     142: q^2+q
     143: q^3+q^2+2q
     144: 2q^2+2q
     145: 4q^2+3q
     146: 3q^2+3q
     147: 3q^2+3q
     148: 3q^2+3q
     149: 3q^2+3q
     150: q^3+3q^2+3q
     151: q^2+2q
     152: 3q^2+3q
     153: q^3+4q^2+3q
     154: 3q^2+3q
     155: 3q^2+3q
     156: q^3+3q^2+3q
     157: 3q^2+3q
     158: q^3+4q^2+3q
     159: q^2+2q
     160: q^2+3q
     161: q^2+3q
     162: q
     163: 2q^2+2q
     164: q
     165: q^2+2q
     166: q^2+q
     167: 2q^2+2q
     168: q
     169: q^2+2q
     170: 4q^2+3q
     171: 4q^2+3q
     172: q^3+4q^2+3q
     173: q^3+2q^2+2q
     174: 2q^2+3q
     175: 2q^2+3q
     176: 2q^2+3q
     177: q^3+q^2+2q
     178: 2q^2+3q
     179: 2q^2+3q
     180: 2q^2+3q
     181: q^3+q^2+2q
     182: 2q^2+3q
     183: q^2+3q
     184: 3q^2+3q
     185: q^2+3q
     186: q^2+q
     187: q^2+2q
     188: q^2+q
     189: q^3+q^2+2q
     190: q^2+q
     191: 2q^2+2q
     192: q^2+q
     193: q^2+2q
     194: q^2+q
     195: q^2+2q
     196: q
     197: q^2+q
     198: q
     199: q^2+q
     200: q^2+q
     201: q^2+2q
     202: q
     203: q^2+2q
     204: q
     205: q^2+2q
     207: 2q
     209: 2q
     211: 2q
     213: q^3+q
     214: 2q^2+2q
     215: 2q^2+2q
     216: 4q^2+3q
     217: 3q^2+3q
     218: 3q^2+3q
     219: 3q^2+3q
     220: 3q^2+3q
     221: 3q^2+3q
     222: q^2+2q
     223: 2q^2+3q
     224: 2q
     225: 2q^2+3q
     226: 3q^2+3q
     227: q^2+2q
     228: 2q^2+3q
     229: 2q^2+3q
     230: 2q
     231: q^2+3q
     232: q
     233: 2q^2+2q
     234: q
     235: q^2+2q
     236: q^2+q
     237: 2q^2+2q
     238: q
     239: q^2+2q
     240: q^2+3q
     241: q^2+2q
     242: q^2+2q
     243: q^2+3q
     244: 2q^2+3q
     245: q^2+3q
     246: 3q^2+3q
     247: q^2+3q
     248: 2q^2+3q
     249: 2q^2+3q
     250: 2q^2+3q
     251: q^3+q^2+2q
     252: 2q^2+3q
     253: 2q^2+3q
     254: 2q^2+3q
     255: q^3+q^2+2q
     256: 3q
     257: 3q
     258: q^2+3q
     259: 2q
     261: q
     263: 2q
     264: q^2+q
     265: q^2+2q
     267: 2q
     268: q^2+q
     269: q^2+2q
     270: q^2+q
     271: q^2+2q
     272: q
     273: q^2+q
     274: q
     275: q
     276: q
     277: q^2+q
     278: q
     279: q
     280: q
     281: q^2+2q
     282: q
     283: q^2+2q
     284: q
     286: q
     287: q^2+2q
     289: 2q
     291: 2q
     293: 2q
     295: q^3+q
     296: 2q^2+2q
     297: 3q^2+3q
     298: 3q^2+3q
     299: q^2+3q
     300: q^2+3q
     301: q
     302: 2q^2+2q
     303: q
     304: q^2+2q
     305: q^2+q
     306: 2q^2+2q
     307: q
     308: q^2+2q
     309: q^2+2q
     310: q^2+2q
     311: 2q^2+3q
     312: 2q
     313: 2q
     314: 2q^2+3q
     315: 2q^2+3q
     316: q^2+2q
     317: q^2+2q
     318: q^2+2q
     319: 2q^2+3q
     320: 2q^2+3q
     321: 2q^2+3q
     322: 2q
     323: 2q
     324: q^2+2q
     326: 2q
     328: 2q
     330: 2q
     332: q
     333: q^2+3q
     334: 2q
     335: 3q
     336: 2q
     337: 2q
     338: 3q
     339: 3q
     340: q^2+3q
     341: 2q
     342: 3q
     343: 3q
     344: q^2+3q
     345: 2q
     347: q
     349: 2q
     351: q
     353: 2q
     355: 2q
     356: q^2+q
     357: q^2+2q
     358: q
     359: q^2+2q
     360: q
     361: q^2+2q
     362: q
     363: q
     365: q
     366: q
     367: q
     368: q
     369: q^2+q
     370: q
     371: q
     373: q
     374: q
     375: q
     376: q
     377: q^2+q
     379: q
     381: 2q
     382: q
     383: q^2+2q
     384: q
     386: q
     388: q
     390: q^2+2q
     391: q^2+2q
     392: q^2+3q
     393: 2q
     395: 2q
     397: 2q
     399: 2q
     401: q
     402: 3q
     403: q^2+2q
     404: 2q
     405: 2q^2+3q
     406: 2q
     407: 2q
     408: q^2+2q
     409: 2q^2+3q
     410: 2q
     411: 2q
     412: 2q
     414: 2q
     416: 2q
     418: 2q
     420: q
     421: 2q
     422: 2q
     423: 3q
     424: 2q
     425: 2q
     426: 2q
     427: 2q
     428: 3q
     429: 3q
     430: q^2+3q
     431: 2q
     432: 3q
     433: 3q
     434: q^2+3q
     435: 2q
     436: q
     443: q
     445: q
     447: 2q
     449: 2q
     450: q
     451: q^2+2q
     453: q
     455: q
     456: q
     457: q
     459: q
     460: q
     461: q
     463: q
     465: q
     466: q
     467: q
     469: q
     470: q
     471: q
     473: q
     475: q
     477: 2q
     479: q
     480: q
     484: q
     486: q
     488: 2q
     490: 2q
     492: 2q
     494: 2q
     496: q
     497: 3q
     498: 2q
     500: 2q
     502: 2q
     504: 2q
     506: q
     507: 2q
     508: 3q
     509: 2q
     510: q
     511: q^2+2q
     512: 2q
     513: 2q
     514: 2q
     515: 2q
     516: q^2+2q
     517: q
     518: 2q
     519: 2q
     520: 2q
     521: 2q
     522: 2q
     523: 2q
     525: 3q
     526: 3q
     527: q^2+3q
     528: 2q
     536: q
     538: q
     540: 2q
     542: q
     544: 2q
     546: q
     547: q
     550: q
     554: q
     556: q
     557: q
     558: q
     560: q
     562: q
     566: q
     568: q
     569: q
     570: q
     572: q
     574: q
     575: q
     579: q
     585: q
     588: 2q
     590: 2q
     592: 2q
     594: q
     595: 2q
     596: 2q
     597: 3q
     598: 2q
     599: 2q
     600: 2q
     601: q
     602: 2q
     603: 2q
     604: 2q
     605: q
     606: 2q
     607: q
     608: q
     611: 1
     612: 1
     613: q+1
     614: 1
     628: q
     630: q
     632: 2q
     634: q
     635: q
     639: q
     642: q
     646: q
     650: q
     652: q
     656: q
     660: q
     661: q
     674: 1
     676: 1
     678: q+1
     680: 1
     681: 1
     682: 1
     683: 2q
     684: 1
     685: q
     686: 2q
     687: q
     688: 1
     689: q
     690: 2q
     691: q
     708: 1
     710: 1
     712: q
     717: q
     720: 1
     724: q
     728: 1
     732: q
     735: 1
     751: 1
     752: q
     753: 1
     754: q
     755: 1
     766: 1
     780: 1
     781: 1
     788: 1
     792: 1
     806: 1
     807: 1
     811: 1
     824: 1
     829: 1
     831: 1
     845: 1

846:   0: q^2+q
       1: q^2+q
       2: q^2+q
       3: q^2+q
       4: q^3+q^2+q
       5: q^5+q
       6: q^2+q
       7: q^3+q^2+q
       8: q^3+q^2+q
       9: q^5+q
      10: q
      11: q^2+q
      12: q^3+q^2+q
      13: q^5+q
      14: q^5+q
      15: q
      16: q
      17: q
      18: q
      19: q^2+q
      20: q^2+q
      21: q^3+q^2+q
      22: q^5+q
      23: q^2+q
      24: q^3+q^2+q
      25: q^2+q
      26: q^5+q
      27: q^2+q
      28: q^2+q
      29: q^5+q
      30: q^3+q^2+q
      31: q^2+q
      32: q^2+q
      33: q^2+q
      34: q
      35: q^2+q
      36: q^2+q
      37: q^2+q
      38: q
      39: q
      40: q
      41: q^2+q
      42: q
      43: q^2+q
      44: q^2+q
      45: q
      46: q^2+q
      47: q^2+q
      48: q^2+q
      50: q^2+q
      52: q^2+q
      54: q
      56: q
      57: q
      58: q
      59: q
      60: q^2+q
      61: q^3+q^2+q
      62: q^2+q
      63: q^5+q
      64: q^2+q
      65: q^2+q
      66: q^3+q^2+q
      67: q^5+q
      68: q^2+q
      69: q^2+q
      70: q^2+q
      71: q
      72: q^2+q
      73: q^2+q
      74: q^2+q
      75: q
      76: q
      78: q^2+q
      80: q^2+q
      82: q
      83: q^2+q
      84: q
      85: q
      86: q^2+q
      87: q^2+q
      88: q^2+q
      90: q^2+q
      92: q^2+q
      94: q
      96: q
      97: q^2+q
      98: q
      99: q^2+q
     100: q
     101: q^2+q
     102: q
     103: q^2+q
     104: q
     105: q
     106: q
     107: q
     108: q^2+q
     109: q^2+q
     110: q^3+q^2+q
     111: q^5+q
     112: q^2+q
     113: q^2+q
     114: q^2+q
     115: q
     116: q^2+q
     117: q^2+q
     118: q^2+q
     119: q
     120: q
     121: q
     122: q^2+q
     123: q
     124: q^2+q
     126: q
     128: q^2+q
     130: q
     132: q^2+q
     134: q
     135: q
     136: q^2+q
     138: q^2+q
     140: q^2+q
     142: q
     144: q
     145: q^2+q
     146: q^2+q
     147: q^2+q
     148: q
     149: q^2+q
     150: q
     151: q
     152: q
     153: q^2+q
     154: q
     155: q^2+q
     156: q
     157: q
     158: q^2+q
     159: q
     160: q
     161: q
     162: q
     164: q
     166: q^2+q
     168: q
     170: q
     171: q
     172: q
     173: q
     174: q^2+q
     175: q^2+q
     176: q^2+q
     177: q
     178: q^2+q
     179: q^2+q
     180: q^2+q
     181: q
     182: q
     183: q
     184: q^2+q
     185: q
     186: q^2+q
     188: q
     190: q^2+q
     192: q^2+q
     194: q
     196: q
     198: q
     200: q
     202: q
     204: q
     206: q^2+q
     208: q^2+q
     210: q^2+q
     212: q
     214: q
     215: q
     216: q
     217: q
     218: q^2+q
     219: q
     220: q^2+q
     221: q
     222: q
     223: q^2+q
     224: q
     225: q^2+q
     226: q
     227: q
     228: q^2+q
     229: q^2+q
     230: q
     231: q
     232: q
     234: q
     236: q^2+q
     238: q
     240: q
     241: q
     242: q
     243: q
     244: q
     245: q
     246: q^2+q
     247: q
     248: q
     249: q
     250: q
     251: q
     252: q
     253: q
     254: q
     255: q
     256: q
     257: q
     258: q^2+q
     259: q
     260: q
     262: q^2+q
     264: q
     266: q^2+q
     268: q^2+q
     270: q
     272: q
     274: q
     276: q
     278: q
     280: q
     282: q
     284: q
     286: q
     288: q
     290: q
     292: q
     294: q
     296: q
     297: q
     298: q
     299: q
     300: q
     301: q
     303: q
     305: q^2+q
     307: q
     309: q
     310: q
     311: q
     312: q
     313: q
     314: q
     315: q^2+q
     316: q
     317: q
     318: q
     319: q
     320: q
     321: q^2+q
     322: q
     323: q
     324: q
     325: q
     327: q
     329: q^2+q
     331: q
     333: q
     334: q
     335: q
     336: q
     337: q
     338: q
     339: q
     340: q^2+q
     341: q
     346: q
     348: q
     350: q
     352: q
     354: q^2+q
     356: q
     358: q
     360: q
     362: q
     364: q
     366: q
     368: q
     370: q
     372: q
     374: q
     376: q
     378: q
     380: q
     382: q
     384: q
     386: q
     388: q
     390: q
     391: q
     392: q
     393: q
     394: q
     396: q
     398: q^2+q
     400: q
     402: q
     403: q
     404: q
     405: q
     406: q
     407: q
     408: q
     409: q
     410: q
     411: q
     412: q
     421: q
     425: q
     427: q
     428: q
     429: q
     430: q^2+q
     431: q
     436: q
     442: q
     444: q
     446: q
     448: q
     450: q
     452: q
     454: q
     456: q
     460: q
     462: q
     464: q
     466: q
     470: q
     472: q
     478: q
     480: q
     482: q
     486: q
     488: q
     489: q
     491: q
     493: q^2+q
     495: q
     497: q
     498: q
     509: q
     510: q
     511: q
     512: q
     514: q
     515: q
     516: q
     517: q
     518: q
     520: q
     529: q
     535: q
     537: q
     539: q
     541: q
     547: q
     549: q
     551: q
     555: q
     557: q
     561: q
     563: q
     567: q
     569: q
     575: q
     577: q
     581: 1
     596: q
     600: q
     601: q
     604: q
     605: q
     615: q
     623: 1
     629: q
     637: q
     639: q
     645: q
     647: q
     655: q
     657: q
     665: 1
     685: q
     689: q
     695: q
     703: 1
     715: 1
     721: q
     729: q
     737: 1
     761: 1
     767: 1
     783: 1
     812: 1
     822: 1
     846: 1

847:   0: 2q^3+5q^2+3q
       1: q^3+4q^2+3q
       2: 2q^3+5q^2+3q
       3: 2q^3+5q^2+3q
       4: 3q^3+5q^2+3q
       5: q^3+4q^2+3q
       6: q^3+4q^2+3q
       7: q^4+2q^3+4q^2+3q
       8: 3q^3+5q^2+3q
       9: q^3+4q^2+3q
      10: q^4+2q^3+4q^2+3q
      11: q^3+4q^2+3q
      12: 3q^3+5q^2+3q
      13: q^3+4q^2+3q
      14: q^4+q^3+2q^2+2q
      15: q^3+4q^2+3q
      16: q^3+4q^2+3q
      17: q^4+2q^3+4q^2+3q
      18: q^3+4q^2+3q
      19: 4q^2+3q
      20: 4q^2+3q
      21: q^3+4q^2+3q
      22: q^3+2q^2+2q
      23: 2q^3+5q^2+3q
      24: 3q^3+5q^2+3q
      25: q^3+4q^2+3q
      26: q^3+4q^2+3q
      27: 2q^3+5q^2+3q
      28: q^3+4q^2+3q
      29: q^3+4q^2+3q
      30: 3q^3+5q^2+3q
      31: q^3+4q^2+3q
      32: q^3+3q^2+3q
      33: q^3+4q^2+3q
      34: q^3+3q^2+3q
      35: q^3+4q^2+3q
      36: q^3+3q^2+3q
      37: q^3+4q^2+3q
      38: q^3+3q^2+3q
      39: q^3+4q^2+3q
      40: q^3+4q^2+3q
      41: 4q^2+3q
      42: q^3+3q^2+3q
      43: 3q^2+3q
      44: q^3+4q^2+3q
      45: q^3+3q^2+3q
      46: 3q^2+3q
      47: q^3+4q^2+3q
      48: 2q^2+2q
      49: q^2+q
      50: q^3+q^2+2q
      51: q^2+q
      52: 2q^2+2q
      53: q^2+q
      54: q^3+q^2+2q
      55: q^2+q
      56: 4q^2+3q
      57: 4q^2+3q
      58: q^3+4q^2+3q
      59: q^3+2q^2+2q
      60: 4q^2+3q
      61: q^3+4q^2+3q
      62: 4q^2+3q
      63: q^3+2q^2+2q
      64: 2q^3+5q^2+3q
      65: q^3+4q^2+3q
      66: 3q^3+5q^2+3q
      67: q^3+4q^2+3q
      68: q^3+4q^2+3q
      69: q^3+3q^2+3q
      70: q^3+4q^2+3q
      71: q^3+3q^2+3q
      72: q^3+4q^2+3q
      73: q^3+3q^2+3q
      74: q^3+4q^2+3q
      75: q^3+3q^2+3q
      76: q^3+q^2+2q
      77: q^2+q
      78: q^2+2q
      79: q^2+q
      80: 2q^2+2q
      81: q^2+q
      82: 2q^2+2q
      83: 4q^2+3q
      84: 4q^2+3q
      85: q^3+4q^2+3q
      86: q^3+4q^2+3q
      87: q^3+4q^2+3q
      88: 2q^2+2q
      89: q^2+q
      90: q^3+q^2+2q
      91: q^2+q
      92: 2q^2+2q
      93: q^2+q
      94: q^3+q^2+2q
      95: q^2+q
      96: 3q^2+3q
      97: 3q^2+3q
      98: q^3+3q^2+3q
      99: 3q^2+3q
     100: 3q^2+3q
     101: 3q^2+3q
     102: q^3+3q^2+3q
     103: 3q^2+3q
     104: 4q^2+3q
     105: q^3+4q^2+3q
     106: 4q^2+3q
     107: q^3+2q^2+2q
     108: 4q^2+3q
     109: 4q^2+3q
     110: q^3+4q^2+3q
     111: q^3+2q^2+2q
     112: q^3+4q^2+3q
     113: q^3+3q^2+3q
     114: q^3+4q^2+3q
     115: q^3+3q^2+3q
     116: q^3+4q^2+3q
     117: q^3+3q^2+3q
     118: q^3+4q^2+3q
     119: q^3+3q^2+3q
     120: 2q^2+3q
     121: q^2+3q
     122: 3q^2+3q
     123: q^2+3q
     124: 2q^2+2q
     125: q^2+q
     126: q^3+q^2+2q
     127: q^2+q
     128: q^2+2q
     129: q^2+q
     130: q^2+2q
     131: q^2+q
     132: q^2+2q
     133: q^2+q
     134: 2q^2+2q
     135: 4q^2+3q
     136: 2q^2+2q
     137: q^2+q
     138: q^3+q^2+2q
     139: q^2+q
     140: 2q^2+2q
     141: q^2+q
     142: q^3+q^2+2q
     143: q^2+q
     144: 2q^2+2q
     145: 4q^2+3q
     146: 3q^2+3q
     147: 3q^2+3q
     148: 3q^2+3q
     149: 3q^2+3q
     150: q^3+3q^2+3q
     151: q^2+2q
     152: 3q^2+3q
     153: q^3+4q^2+3q
     154: 3q^2+3q
     155: 3q^2+3q
     156: q^3+3q^2+3q
     157: 3q^2+3q
     158: q^3+4q^2+3q
     159: q^2+2q
     160: q^2+3q
     161: q^2+3q
     162: 2q^2+2q
     163: q
     164: q^2+2q
     165: q
     166: 2q^2+2q
     167: q^2+q
     168: q^2+2q
     169: q
     170: 4q^2+3q
     171: 4q^2+3q
     172: q^3+4q^2+3q
     173: q^3+2q^2+2q
     174: 2q^2+3q
     175: 2q^2+3q
     176: 2q^2+3q
     177: q^3+q^2+2q
     178: 2q^2+3q
     179: 2q^2+3q
     180: 2q^2+3q
     181: q^3+q^2+2q
     182: 2q^2+3q
     183: q^2+3q
     184: 3q^2+3q
     185: q^2+3q
     186: q^2+2q
     187: q^2+q
     188: q^3+q^2+2q
     189: q^2+q
     190: 2q^2+2q
     191: q^2+q
     192: q^2+2q
     193: q^2+q
     194: q^2+2q
     195: q^2+q
     196: q^2+q
     197: q
     198: q^2+q
     199: q
     200: q^2+2q
     201: q^2+q
     202: q^2+2q
     203: q
     204: q^2+2q
     205: q
     206: 2q
     208: 2q
     210: 2q
     212: q^3+q
     214: 2q^2+2q
     215: 2q^2+2q
     216: 4q^2+3q
     217: 3q^2+3q
     218: 3q^2+3q
     219: 3q^2+3q
     220: 3q^2+3q
     221: 3q^2+3q
     222: q^2+2q
     223: 2q^2+3q
     224: 2q
     225: 2q^2+3q
     226: 3q^2+3q
     227: q^2+2q
     228: 2q^2+3q
     229: 2q^2+3q
     230: 2q
     231: q^2+3q
     232: 2q^2+2q
     233: q
     234: q^2+2q
     235: q
     236: 2q^2+2q
     237: q^2+q
     238: q^2+2q
     239: q
     240: q^2+3q
     241: q^2+2q
     242: q^2+2q
     243: q^2+3q
     244: 2q^2+3q
     245: q^2+3q
     246: 3q^2+3q
     247: q^2+3q
     248: 2q^2+3q
     249: 2q^2+3q
     250: 2q^2+3q
     251: q^3+q^2+2q
     252: 2q^2+3q
     253: 2q^2+3q
     254: 2q^2+3q
     255: q^3+q^2+2q
     256: 3q
     257: 3q
     258: q^2+3q
     259: 2q
     260: q
     262: 2q
     264: q^2+2q
     265: q^2+q
     266: 2q
     268: q^2+2q
     269: q^2+q
     270: q^2+2q
     271: q^2+q
     272: q^2+q
     273: q
     274: q
     275: q
     276: q^2+q
     277: q
     278: q
     279: q
     280: q^2+2q
     281: q
     282: q^2+2q
     283: q
     285: q
     286: q^2+2q
     287: q
     288: 2q
     290: 2q
     292: 2q
     294: q^3+q
     296: 2q^2+2q
     297: 3q^2+3q
     298: 3q^2+3q
     299: q^2+3q
     300: q^2+3q
     301: 2q^2+2q
     302: q
     303: q^2+2q
     304: q
     305: 2q^2+2q
     306: q^2+q
     307: q^2+2q
     308: q
     309: q^2+2q
     310: q^2+2q
     311: 2q^2+3q
     312: 2q
     313: 2q
     314: 2q^2+3q
     315: 2q^2+3q
     316: q^2+2q
     317: q^2+2q
     318: q^2+2q
     319: 2q^2+3q
     320: 2q^2+3q
     321: 2q^2+3q
     322: 2q
     323: 2q
     324: q^2+2q
     325: 2q
     327: 2q
     329: 2q
     331: q
     333: q^2+3q
     334: 2q
     335: 3q
     336: 2q
     337: 2q
     338: 3q
     339: 3q
     340: q^2+3q
     341: 2q
     342: 3q
     343: 3q
     344: q^2+3q
     345: 2q
     346: q
     348: 2q
     350: q
     352: 2q
     354: 2q
     356: q^2+2q
     357: q^2+q
     358: q^2+2q
     359: q
     360: q^2+2q
     361: q
     362: q
     363: q
     364: q
     366: q
     367: q
     368: q^2+q
     369: q
     370: q
     371: q
     372: q
     374: q
     375: q
     376: q^2+q
     377: q
     378: q
     380: 2q
     382: q^2+2q
     383: q
     385: q
     387: q
     389: q
     390: q^2+2q
     391: q^2+2q
     392: q^2+3q
     393: 2q
     394: 2q
     396: 2q
     398: 2q
     400: q
     402: 3q
     403: q^2+2q
     404: 2q
     405: 2q^2+3q
     406: 2q
     407: 2q
     408: q^2+2q
     409: 2q^2+3q
     410: 2q
     411: 2q
     412: 2q
     413: 2q
     415: 2q
     417: 2q
     419: q
     421: 2q
     422: 2q
     423: 3q
     424: 2q
     425: 2q
     426: 2q
     427: 2q
     428: 3q
     429: 3q
     430: q^2+3q
     431: 2q
     432: 3q
     433: 3q
     434: q^2+3q
     435: 2q
     440: q
     442: q
     444: q
     446: 2q
     448: 2q
     450: q^2+2q
     451: q
     452: q
     454: q
     456: q
     457: q
     458: q
     460: q
     461: q
     462: q
     464: q
     466: q
     467: q
     468: q
     470: q
     471: q
     472: q
     474: q
     476: 2q
     478: q
     481: q
     485: q
     487: q
     488: 2q
     489: 2q
     491: 2q
     493: 2q
     495: q
     497: 3q
     498: 2q
     499: 2q
     501: 2q
     503: 2q
     505: q
     507: 2q
     508: 3q
     509: 2q
     510: q
     511: q^2+2q
     512: 2q
     513: 2q
     514: 2q
     515: 2q
     516: q^2+2q
     517: q
     518: 2q
     519: 2q
     520: 2q
     521: 2q
     522: 2q
     523: 2q
     525: 3q
     526: 3q
     527: q^2+3q
     528: 2q
     535: q
     537: q
     539: 2q
     541: q
     543: 2q
     545: q
     548: q
     549: q
     553: q
     555: q
     557: q
     558: q
     559: q
     561: q
     565: q
     567: q
     569: q
     570: q
     571: q
     573: q
     576: q
     580: q
     586: q
     587: 2q
     589: 2q
     591: 2q
     593: q
     595: 2q
     596: 2q
     597: 3q
     598: 2q
     599: 2q
     600: 2q
     601: q
     602: 2q
     603: 2q
     604: 2q
     605: q
     606: 2q
     607: q
     608: q
     611: 1
     612: 1
     613: q+1
     614: 1
     627: q
     629: q
     631: 2q
     633: q
     636: q
     640: q
     641: q
     645: q
     649: q
     651: q
     655: q
     659: q
     662: q
     673: 1
     675: 1
     677: q+1
     679: 1
     681: 1
     682: 1
     683: 2q
     684: 1
     685: q
     686: 2q
     687: q
     688: 1
     689: q
     690: 2q
     691: q
     707: 1
     709: 1
     711: q
     718: q
     719: 1
     723: q
     727: 1
     731: q
     736: 1
     751: 1
     752: q
     753: 1
     754: q
     755: 1
     768: 1
     779: 1
     782: 1
     787: 1
     791: 1
     806: 1
     807: 1
     813: 1
     825: 1
     828: 1
     830: 1
     847: 1

848:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q^2+q+1
       5: q+1
       6: q+1
       7: q^2+q+1
       8: q^2+q+1
       9: q+1
      10: q^2+q+1
      11: q+1
      12: q^2+q+1
      13: q+1
      14: q+1
      15: q+1
      16: q+1
      17: q^2+q+1
      18: q+1
      19: q+1
      20: q+1
      21: q^2+q+1
      22: q+1
      23: q+1
      24: q^2+q+1
      25: q+1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      30: q^2+q+1
      31: q+1
      32: q+1
      33: q+1
      34: q+1
      35: q+1
      36: q+1
      37: q+1
      38: q+1
      39: q+1
      40: q+1
      41: q+1
      42: q+1
      43: q+1
      44: q+1
      45: q+1
      46: q+1
      47: q+1
      49: q+1
      51: q+1
      53: q+1
      55: q+1
      56: q+1
      57: q+1
      58: q^2+q+1
      59: q+1
      60: q+1
      61: q^2+q+1
      62: q+1
      63: q+1
      64: q+1
      65: q+1
      66: q^2+q+1
      67: q+1
      68: q+1
      69: q+1
      70: q+1
      71: q+1
      72: q+1
      73: q+1
      74: q+1
      75: q+1
      77: q+1
      79: q+1
      81: q+1
      82: q+1
      83: q+1
      84: q+1
      85: q+1
      86: q+1
      87: q+1
      89: q+1
      91: q+1
      93: q+1
      95: q+1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     100: q+1
     101: q+1
     102: q+1
     103: q+1
     104: q+1
     105: q^2+q+1
     106: q+1
     107: q+1
     108: q+1
     109: q+1
     110: q^2+q+1
     111: q+1
     112: q+1
     113: q+1
     114: q+1
     115: q+1
     116: q+1
     117: q+1
     118: q+1
     119: q+1
     120: 1
     121: 1
     122: q+1
     123: 1
     125: q+1
     127: q+1
     129: q+1
     131: q+1
     133: q+1
     134: q+1
     135: q+1
     137: q+1
     139: q+1
     141: q+1
     143: q+1
     144: q+1
     145: q+1
     146: q+1
     147: q+1
     148: q+1
     149: q+1
     150: q+1
     151: 1
     152: q+1
     153: q+1
     154: q+1
     155: q+1
     156: q+1
     157: q+1
     158: q+1
     159: 1
     160: 1
     161: 1
     163: 1
     165: 1
     167: q+1
     169: 1
     170: q+1
     171: q+1
     172: q^2+q+1
     173: q+1
     174: q+1
     175: q+1
     176: q+1
     177: q+1
     178: q+1
     179: q+1
     180: q+1
     181: q+1
     182: 1
     183: 1
     184: q+1
     185: 1
     187: q+1
     189: q+1
     191: q+1
     193: q+1
     195: q+1
     197: 1
     199: 1
     201: q+1
     203: 1
     205: 1
     207: q+1
     209: q+1
     211: q+1
     213: q+1
     214: q+1
     215: q+1
     216: q+1
     217: q+1
     218: q+1
     219: q+1
     220: q+1
     221: q+1
     222: q+1
     223: q+1
     224: 1
     225: q+1
     226: q+1
     227: q+1
     228: q+1
     229: q+1
     230: 1
     231: 1
     233: 1
     235: 1
     237: q+1
     239: 1
     240: 1
     241: 1
     242: 1
     243: 1
     244: 1
     245: 1
     246: q+1
     247: 1
     248: q+1
     249: q+1
     250: q+1
     251: q+1
     252: q+1
     253: q+1
     254: q+1
     255: q+1
     256: 1
     257: 1
     258: q+1
     259: 1
     261: q+1
     263: q+1
     265: q+1
     267: q+1
     269: q+1
     271: q+1
     273: 1
     275: 1
     277: 1
     279: 1
     281: 1
     283: 1
     285: 1
     287: 1
     289: q+1
     291: q+1
     293: q+1
     295: q+1
     296: q+1
     297: q+1
     298: q+1
     299: 1
     300: 1
     302: 1
     304: 1
     306: q+1
     308: 1
     309: q+1
     310: q+1
     311: q+1
     312: 1
     313: 1
     314: q+1
     315: q+1
     316: 1
     317: q+1
     318: q+1
     319: q+1
     320: q+1
     321: q+1
     322: 1
     323: 1
     324: 1
     326: 1
     328: 1
     330: q+1
     332: 1
     333: 1
     334: 1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: q+1
     341: 1
     342: 1
     343: 1
     344: q+1
     345: 1
     347: q+1
     349: q+1
     351: q+1
     353: q+1
     355: q+1
     357: q+1
     359: 1
     361: 1
     363: 1
     365: 1
     367: 1
     369: 1
     371: 1
     373: 1
     375: 1
     377: 1
     379: 1
     381: 1
     383: 1
     385: 1
     387: 1
     389: 1
     390: q+1
     391: q+1
     392: 1
     393: 1
     395: 1
     397: 1
     399: q+1
     401: 1
     402: 1
     403: q+1
     404: 1
     405: q+1
     406: 1
     407: 1
     408: q+1
     409: q+1
     410: 1
     411: 1
     412: 1
     414: 1
     416: 1
     418: q+1
     420: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     426: 1
     427: 1
     428: 1
     429: 1
     430: q+1
     431: 1
     432: 1
     433: 1
     434: q+1
     435: 1
     440: 1
     443: q+1
     445: q+1
     447: q+1
     449: 1
     451: 1
     453: 1
     455: 1
     457: 1
     459: 1
     461: 1
     463: 1
     465: 1
     467: 1
     469: 1
     471: 1
     473: 1
     475: 1
     477: 1
     479: 1
     481: 1
     483: 1
     485: 1
     487: 1
     488: 1
     490: 1
     492: 1
     494: q+1
     496: 1
     497: 1
     498: 1
     500: 1
     502: 1
     504: q+1
     506: 1
     507: 1
     508: 1
     509: 1
     510: 1
     511: q+1
     512: 1
     513: 1
     514: 1
     515: 1
     516: q+1
     517: 1
     518: 1
     519: 1
     520: 1
     521: 1
     522: 1
     523: 1
     525: 1
     526: 1
     527: q+1
     528: 1
     533: 1
     536: 1
     538: q+1
     540: 1
     542: 1
     544: 1
     546: 1
     548: 1
     550: 1
     552: 1
     554: 1
     556: 1
     558: 1
     560: 1
     562: 1
     564: 1
     566: 1
     568: 1
     570: 1
     572: 1
     574: 1
     576: 1
     578: 1
     580: 1
     582: 1
     586: 1
     588: 1
     590: 1
     592: q+1
     594: 1
     595: 1
     596: 1
     597: 1
     598: 1
     599: 1
     600: 1
     601: 1
     602: 1
     603: 1
     604: 1
     605: 1
     606: 1
     607: 1
     608: 1
     611: 1
     612: 1
     613: q+1
     614: 1
     619: 1
     625: 1
     628: 1
     630: 1
     632: 1
     634: 1
     636: 1
     638: 1
     640: 1
     642: 1
     644: 1
     646: 1
     648: 1
     650: 1
     652: 1
     654: 1
     656: 1
     658: 1
     660: 1
     662: 1
     664: 1
     666: 1
     674: 1
     676: 1
     678: q+1
     680: 1
     681: 1
     682: 1
     683: 1
     684: 1
     685: 1
     686: 1
     687: 1
     688: 1
     689: 1
     690: 1
     691: 1
     699: 1
     705: 1
     708: 1
     710: 1
     712: 1
     714: 1
     716: 1
     718: 1
     720: 1
     722: 1
     724: 1
     726: 1
     728: 1
     730: 1
     732: 1
     734: 1
     736: 1
     738: 1
     751: 1
     752: 1
     753: 1
     754: 1
     755: 1
     763: 1
     769: 1
     778: 1
     780: 1
     782: 1
     784: 1
     786: 1
     788: 1
     790: 1
     792: 1
     806: 1
     807: 1
     814: 1
     823: 1
     825: 1
     829: 1
     831: 1
     848: 1

849:   0: q^2+q
       1: q^2+q
       2: q^2+q
       3: q^2+q
       4: q^3+q^2+q
       5: q^5+q
       6: q^2+q
       7: q^3+q^2+q
       8: q^3+q^2+q
       9: q^5+q
      10: q
      11: q^2+q
      12: q^3+q^2+q
      13: q^5+q
      14: q^5+q
      15: q
      16: q
      17: q
      18: q
      19: q^2+q
      20: q^2+q
      21: q^3+q^2+q
      22: q^5+q
      23: q^2+q
      24: q^3+q^2+q
      25: q^2+q
      26: q^5+q
      27: q^2+q
      28: q^2+q
      29: q^5+q
      30: q^3+q^2+q
      31: q^2+q
      32: q^2+q
      33: q^2+q
      34: q
      35: q^2+q
      36: q^2+q
      37: q^2+q
      38: q
      39: q
      40: q
      41: q^2+q
      42: q
      43: q^2+q
      44: q^2+q
      45: q
      46: q^2+q
      47: q^2+q
      49: q^2+q
      51: q^2+q
      53: q^2+q
      55: q
      56: q
      57: q
      58: q
      59: q
      60: q^2+q
      61: q^3+q^2+q
      62: q^2+q
      63: q^5+q
      64: q^2+q
      65: q^2+q
      66: q^3+q^2+q
      67: q^5+q
      68: q^2+q
      69: q^2+q
      70: q^2+q
      71: q
      72: q^2+q
      73: q^2+q
      74: q^2+q
      75: q
      77: q
      79: q^2+q
      81: q^2+q
      82: q
      83: q^2+q
      84: q
      85: q
      86: q^2+q
      87: q^2+q
      89: q^2+q
      91: q^2+q
      93: q^2+q
      95: q
      96: q
      97: q^2+q
      98: q
      99: q^2+q
     100: q
     101: q^2+q
     102: q
     103: q^2+q
     104: q
     105: q
     106: q
     107: q
     108: q^2+q
     109: q^2+q
     110: q^3+q^2+q
     111: q^5+q
     112: q^2+q
     113: q^2+q
     114: q^2+q
     115: q
     116: q^2+q
     117: q^2+q
     118: q^2+q
     119: q
     120: q
     121: q
     122: q^2+q
     123: q
     125: q^2+q
     127: q
     129: q^2+q
     131: q
     133: q^2+q
     134: q
     135: q
     137: q^2+q
     139: q^2+q
     141: q^2+q
     143: q
     144: q
     145: q^2+q
     146: q^2+q
     147: q^2+q
     148: q
     149: q^2+q
     150: q
     151: q
     152: q
     153: q^2+q
     154: q
     155: q^2+q
     156: q
     157: q
     158: q^2+q
     159: q
     160: q
     161: q
     163: q
     165: q
     167: q^2+q
     169: q
     170: q
     171: q
     172: q
     173: q
     174: q^2+q
     175: q^2+q
     176: q^2+q
     177: q
     178: q^2+q
     179: q^2+q
     180: q^2+q
     181: q
     182: q
     183: q
     184: q^2+q
     185: q
     187: q^2+q
     189: q
     191: q^2+q
     193: q^2+q
     195: q
     197: q
     199: q
     201: q
     203: q
     205: q
     207: q^2+q
     209: q^2+q
     211: q^2+q
     213: q
     214: q
     215: q
     216: q
     217: q
     218: q^2+q
     219: q
     220: q^2+q
     221: q
     222: q
     223: q^2+q
     224: q
     225: q^2+q
     226: q
     227: q
     228: q^2+q
     229: q^2+q
     230: q
     231: q
     233: q
     235: q
     237: q^2+q
     239: q
     240: q
     241: q
     242: q
     243: q
     244: q
     245: q
     246: q^2+q
     247: q
     248: q
     249: q
     250: q
     251: q
     252: q
     253: q
     254: q
     255: q
     256: q
     257: q
     258: q^2+q
     259: q
     261: q
     263: q^2+q
     265: q
     267: q^2+q
     269: q^2+q
     271: q
     273: q
     275: q
     277: q
     279: q
     281: q
     283: q
     285: q
     287: q
     289: q
     291: q
     293: q
     295: q
     296: q
     297: q
     298: q
     299: q
     300: q
     302: q
     304: q
     306: q^2+q
     308: q
     309: q
     310: q
     311: q
     312: q
     313: q
     314: q
     315: q^2+q
     316: q
     317: q
     318: q
     319: q
     320: q
     321: q^2+q
     322: q
     323: q
     324: q
     326: q
     328: q
     330: q^2+q
     332: q
     333: q
     334: q
     335: q
     336: q
     337: q
     338: q
     339: q
     340: q^2+q
     341: q
     347: q
     349: q
     351: q
     353: q
     355: q^2+q
     357: q
     359: q
     361: q
     363: q
     365: q
     367: q
     369: q
     371: q
     373: q
     375: q
     377: q
     379: q
     381: q
     383: q
     385: q
     387: q
     389: q
     390: q
     391: q
     392: q
     393: q
     395: q
     397: q
     399: q^2+q
     401: q
     402: q
     403: q
     404: q
     405: q
     406: q
     407: q
     408: q
     409: q
     410: q
     411: q
     412: q
     421: q
     425: q
     427: q
     428: q
     429: q
     430: q^2+q
     431: q
     440: q
     443: q
     445: q
     447: q
     449: q
     451: q
     453: q
     455: q
     457: q
     461: q
     463: q
     465: q
     467: q
     471: q
     473: q
     479: q
     481: q
     483: q
     487: q
     488: q
     490: q
     492: q
     494: q^2+q
     496: q
     497: q
     498: q
     509: q
     510: q
     511: q
     512: q
     514: q
     515: q
     516: q
     517: q
     518: q
     520: q
     533: q
     536: q
     538: q
     540: q
     542: q
     548: q
     550: q
     552: q
     556: q
     558: q
     562: q
     564: q
     568: q
     570: q
     576: q
     578: q
     582: 1
     596: q
     600: q
     601: q
     604: q
     605: q
     619: q
     626: 1
     630: q
     638: q
     640: q
     646: q
     648: q
     656: q
     658: q
     666: 1
     685: q
     689: q
     699: q
     706: 1
     716: 1
     722: q
     730: q
     738: 1
     764: 1
     770: 1
     784: 1
     815: 1
     823: 1
     849: 1

850:   0: q+1
       1: q+1
       2: q^2+q+1
       3: q+1
       4: q+1
       5: q+1
       6: q+1
       7: q+1
       8: q^2+q+1
       9: q+1
      10: q+1
      11: 1
      12: q^2+q+1
      13: 1
      14: 1
      15: q+1
      16: q+1
      17: q+1
      18: 1
      19: q+1
      20: q+1
      21: q+1
      22: 1
      23: q+1
      24: q+1
      25: 1
      26: 1
      27: q+1
      28: q+1
      29: q+1
      30: q^2+q+1
      31: q+1
      32: q+1
      33: q^2+q+1
      34: q+1
      35: q+1
      36: q+1
      37: q^2+q+1
      38: q+1
      39: 1
      40: q+1
      41: q+1
      42: q+1
      43: q+1
      44: q+1
      45: q+1
      46: q+1
      47: q+1
      48: q+1
      50: q+1
      52: q^2+q+1
      54: q+1
      56: q+1
      57: q+1
      58: q+1
      59: 1
      60: q+1
      61: q+1
      62: 1
      63: 1
      64: q+1
      65: 1
      66: q+1
      67: 1
      68: q+1
      69: q+1
      70: q^2+q+1
      71: q+1
      72: q+1
      73: q+1
      74: q^2+q+1
      75: q+1
      76: q+1
      78: q+1
      80: q+1
      82: 1
      83: 1
      84: q+1
      85: 1
      86: q+1
      87: q+1
      88: q+1
      90: q+1
      92: q^2+q+1
      94: q+1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     100: q+1
     101: q+1
     102: q+1
     103: q+1
     104: q+1
     105: q+1
     106: 1
     107: 1
     108: q+1
     109: 1
     110: q+1
     111: 1
     112: q+1
     113: 1
     114: q+1
     115: 1
     116: q+1
     117: 1
     118: q+1
     119: 1
     120: q+1
     121: q+1
     122: q^2+q+1
     123: q+1
     124: q+1
     126: q+1
     128: q+1
     130: q+1
     132: q+1
     134: 1
     135: 1
     136: q+1
     138: 1
     140: q+1
     142: 1
     144: 1
     145: 1
     146: q+1
     147: q+1
     148: q+1
     149: 1
     150: 1
     151: q+1
     152: q+1
     153: q+1
     154: q+1
     155: 1
     156: 1
     157: q+1
     158: q+1
     159: q+1
     160: q+1
     161: q+1
     162: q+1
     164: q+1
     166: q^2+q+1
     168: q+1
     170: q+1
     171: 1
     172: q+1
     173: 1
     174: q+1
     175: 1
     176: q+1
     177: 1
     178: q+1
     179: 1
     180: q+1
     181: 1
     182: q+1
     183: 1
     184: q+1
     185: 1
     186: 1
     188: 1
     190: q+1
     192: q+1
     194: q+1
     196: q+1
     198: q+1
     200: q+1
     202: q+1
     204: q+1
     206: q+1
     208: 1
     210: q+1
     212: 1
     214: 1
     215: 1
     216: 1
     217: q+1
     218: 1
     219: q+1
     220: 1
     221: 1
     222: 1
     223: 1
     224: q+1
     225: q+1
     226: 1
     227: 1
     228: 1
     229: q+1
     230: q+1
     231: 1
     232: q+1
     234: 1
     236: q+1
     238: 1
     240: 1
     241: q+1
     242: q+1
     243: q+1
     244: q+1
     245: 1
     246: q+1
     247: 1
     248: q+1
     249: 1
     250: q+1
     251: 1
     252: q+1
     253: 1
     254: q+1
     255: 1
     256: q+1
     257: 1
     258: q+1
     259: 1
     260: 1
     262: 1
     264: 1
     266: q+1
     268: 1
     270: q+1
     272: q+1
     274: q+1
     276: q+1
     278: q+1
     280: 1
     282: 1
     284: q+1
     286: q+1
     288: q+1
     290: 1
     292: q+1
     294: 1
     296: 1
     297: 1
     298: 1
     299: 1
     300: 1
     301: q+1
     303: 1
     305: q+1
     307: 1
     309: 1
     310: 1
     311: 1
     312: q+1
     313: 1
     314: q+1
     315: 1
     316: q+1
     317: 1
     318: 1
     319: 1
     320: q+1
     321: 1
     322: q+1
     323: 1
     324: q+1
     325: q+1
     327: 1
     329: q+1
     331: 1
     333: 1
     334: 1
     335: 1
     336: q+1
     337: q+1
     338: q+1
     339: 1
     340: q+1
     341: 1
     342: q+1
     343: 1
     344: q+1
     345: 1
     346: 1
     348: 1
     350: 1
     352: q+1
     354: 1
     356: 1
     358: 1
     360: 1
     362: 1
     364: q+1
     366: q+1
     368: q+1
     370: 1
     372: q+1
     374: q+1
     376: q+1
     378: 1
     380: 1
     382: 1
     384: q+1
     386: q+1
     388: q+1
     390: 1
     391: 1
     392: 1
     393: 1
     394: q+1
     396: 1
     398: q+1
     400: 1
     402: 1
     403: 1
     404: 1
     405: 1
     406: 1
     407: q+1
     408: 1
     409: 1
     410: 1
     411: 1
     412: q+1
     413: q+1
     415: 1
     417: q+1
     419: 1
     421: 1
     422: 1
     423: 1
     424: q+1
     425: 1
     426: q+1
     427: 1
     428: 1
     429: 1
     430: 1
     432: q+1
     433: 1
     434: q+1
     435: 1
     436: q+1
     442: 1
     444: 1
     446: 1
     448: 1
     450: 1
     452: 1
     454: 1
     456: 1
     458: q+1
     460: 1
     462: q+1
     464: 1
     466: 1
     468: q+1
     470: 1
     472: q+1
     474: 1
     476: 1
     478: 1
     480: 1
     482: q+1
     484: q+1
     486: q+1
     489: 1
     491: 1
     493: 1
     497: 1
     498: 1
     499: q+1
     501: 1
     503: q+1
     505: 1
     507: 1
     508: 1
     509: 1
     510: 1
     511: 1
     512: 1
     513: q+1
     514: 1
     515: 1
     516: 1
     517: 1
     518: 1
     519: q+1
     520: 1
     521: 1
     522: 1
     523: 1
     524: 1
     525: 1
     526: 1
     527: 1
     529: q+1
     537: 1
     539: 1
     541: 1
     543: 1
     545: 1
     547: 1
     549: 1
     551: 1
     553: 1
     555: 1
     557: 1
     559: q+1
     561: 1
     563: 1
     565: 1
     567: 1
     569: 1
     571: q+1
     573: 1
     575: 1
     577: 1
     579: 1
     581: q+1
     583: 1
     585: q+1
     587: 1
     589: 1
     591: 1
     597: 1
     598: 1
     599: 1
     600: 1
     601: 1
     602: 1
     603: 1
     604: 1
     605: 1
     606: 1
     607: 1
     608: 1
     609: 1
     610: 1
     611: 1
     612: 1
     613: 1
     615: 1
     621: q+1
     631: 1
     633: 1
     635: 1
     637: 1
     639: 1
     641: 1
     643: 1
     645: 1
     647: 1
     649: 1
     651: 1
     653: 1
     655: 1
     657: 1
     659: 1
     661: 1
     663: 1
     665: 1
     667: 1
     669: 1
     671: 1
     673: 1
     675: 1
     677: 1
     682: 1
     684: 1
     686: 1
     687: 1
     688: 1
     690: 1
     691: 1
     692: 1
     693: 1
     694: 1
     695: 1
     701: 1
     709: 1
     713: 1
     715: 1
     717: 1
     719: 1
     723: 1
     725: 1
     727: 1
     731: 1
     733: 1
     735: 1
     737: 1
     739: 1
     741: 1
     743: 1
     745: 1
     747: 1
     749: 1
     753: 1
     755: 1
     757: 1
     758: 1
     759: 1
     765: 1
     771: 1
     781: 1
     783: 1
     787: 1
     791: 1
     795: 1
     797: 1
     799: 1
     801: 1
     803: 1
     809: 1
     810: 1
     816: 1
     836: 1
     838: 1
     840: 1
     850: 1

851:   0: q^3+2q^2+2q
       1: q^3+2q^2+2q
       2: 2q^3+2q^2+2q
       3: q^3+2q^2+2q
       4: q^3+2q^2+2q
       5: q^3+2q^2+2q
       6: q^3+2q^2+2q
       7: q^3+2q^2+2q
       8: 2q^3+2q^2+2q
       9: q^3+2q^2+2q
      10: q^3+2q^2+2q
      11: q^3+q^2+q
      12: 2q^3+2q^2+2q
      13: q^3+q^2+q
      14: q^3+q^2+q
      15: q^3+2q^2+2q
      16: q^3+2q^2+2q
      17: q^3+2q^2+2q
      18: q^3+q^2+q
      19: q^3+2q^2+2q
      20: q^3+2q^2+2q
      21: q^3+2q^2+2q
      22: q^3+q^2+q
      23: q^2+2q
      24: q^2+2q
      25: q^2+q
      26: q^2+q
      27: q^3+2q^2+2q
      28: q^3+2q^2+2q
      29: q^3+2q^2+2q
      30: 2q^3+2q^2+2q
      31: q^3+2q^2+2q
      32: q^3+2q^2+2q
      33: 2q^3+2q^2+2q
      34: q^3+2q^2+2q
      35: q^3+2q^2+2q
      36: q^3+2q^2+2q
      37: 2q^3+2q^2+2q
      38: q^3+2q^2+2q
      39: q^2+q
      40: q^3+2q^2+2q
      41: q^3+2q^2+2q
      42: q^3+2q^2+2q
      43: q^3+2q^2+2q
      44: q^2+2q
      45: q^3+2q^2+2q
      46: q^3+2q^2+2q
      47: q^2+2q
      48: q^2+q
      49: q^3+q^2+q
      50: q^2+q
      51: q^3+q^2+q
      52: q^3+q^2+q
      53: q^3+q^2+q
      54: q^2+q
      55: q^3+q^2+q
      56: q^3+2q^2+2q
      57: q^3+2q^2+2q
      58: q^3+2q^2+2q
      59: q^3+q^2+q
      60: q^2+2q
      61: q^2+2q
      62: q^2+q
      63: q^2+q
      64: q^2+2q
      65: q^2+q
      66: q^2+2q
      67: q^2+q
      68: q^3+2q^2+2q
      69: q^3+2q^2+2q
      70: 2q^3+2q^2+2q
      71: q^3+2q^2+2q
      72: q^3+2q^2+2q
      73: q^3+2q^2+2q
      74: 2q^3+2q^2+2q
      75: q^3+2q^2+2q
      76: q^2+q
      77: q^3+q^2+q
      78: q^2+q
      79: q^3+q^2+q
      80: q^2+q
      81: q
      82: q^2+q
      83: q
      84: q^3+2q^2+2q
      85: q^2+q
      86: q^2+2q
      87: q^2+2q
      88: q^2+q
      89: q^3+q^2+q
      90: q^2+q
      91: q^3+q^2+q
      92: q^3+q^2+q
      93: q^3+q^2+q
      94: q^2+q
      95: q^3+q^2+q
      96: q^3+2q^2+2q
      97: q^2+2q
      98: q^3+2q^2+2q
      99: q^3+2q^2+2q
     100: q^3+2q^2+2q
     101: q^2+2q
     102: q^3+2q^2+2q
     103: q^3+2q^2+2q
     104: q^2+2q
     105: q^2+2q
     106: q^2+q
     107: q^2+q
     108: q^2+2q
     109: q^2+q
     110: q^2+2q
     111: q^2+q
     112: q^2+2q
     113: q^2+q
     114: q^2+2q
     115: q^2+q
     116: q^2+2q
     117: q^2+q
     118: q^2+2q
     119: q^2+q
     120: q^3+2q^2+2q
     121: q^3+2q^2+2q
     122: 2q^3+2q^2+2q
     123: q^3+2q^2+2q
     124: q^2+q
     125: q
     126: q^2+q
     127: q^3+q^2+q
     128: q^2+q
     129: q^3+q^2+q
     130: q^2+q
     131: q^3+q^2+q
     132: q^2+q
     133: q
     134: q^2+q
     135: q
     137: q
     139: q^2
     141: q
     143: q^2
     144: q^2+q
     145: q
     146: q^2+2q
     147: q^2+2q
     148: q^2+2q
     149: q
     150: q^2+q
     151: q^2+2q
     152: q^3+2q^2+2q
     153: q^2+2q
     154: q^2+2q
     155: q
     156: q^2+q
     157: q^3+2q^2+2q
     158: q^2+2q
     159: q^2+2q
     160: q^3+2q^2+2q
     161: q^3+2q^2+2q
     162: q^2+q
     163: q^3+q^2+q
     164: q^2+q
     165: q^3+q^2+q
     166: q^3+q^2+q
     167: q^3+q^2+q
     168: q^2+q
     169: q^3+q^2+q
     170: q^2+2q
     171: q^2+q
     172: q^2+2q
     173: q^2+q
     174: q^2+2q
     175: q^2+q
     176: q^2+2q
     177: q^2+q
     178: q^2+2q
     179: q^2+q
     180: q^2+2q
     181: q^2+q
     182: q^2+2q
     183: q^2+q
     184: q^2+2q
     185: q^2+q
     189: q^2
     191: q
     192: q^2+q
     193: q
     194: q^2+q
     195: q^3+q^2+q
     196: q^2+q
     197: q
     198: q^2+q
     199: q
     200: q^2+q
     201: q
     202: q^2+q
     203: q^3+q^2+q
     204: q^2+q
     205: q^3+q^2+q
     207: q
     209: q^2
     211: q
     213: q^2
     214: q
     215: q^2+q
     216: q
     217: q^2+2q
     218: q
     219: q^2+2q
     220: q
     221: q
     222: q^2+q
     223: q
     224: q^2+2q
     225: q^2+2q
     226: q
     227: q^2+q
     228: q
     229: q^2+2q
     230: q^2+2q
     231: q
     233: q
     235: q^2
     237: q
     239: q^2
     240: q^2+q
     241: q^2+2q
     242: q^2+2q
     243: q^3+2q^2+2q
     244: q^2+2q
     245: q^2+q
     246: q^2+2q
     247: q^2+q
     248: q^2+2q
     249: q^2+q
     250: q^2+2q
     251: q^2+q
     252: q^2+2q
     253: q^2+q
     254: q^2+2q
     255: q^2+q
     256: q^2+2q
     257: q^2+q
     258: q^2+2q
     259: q^2+q
     261: q^2
     267: q
     270: q^2+q
     271: q
     273: q
     274: q^2+q
     275: q
     277: q
     278: q^2+q
     279: q
     283: q^2
     284: q^2+q
     285: q
     286: q^2+q
     287: q^3+q^2+q
     289: q
     291: q^2
     293: q
     295: q^2
     296: q
     297: q
     298: q
     299: q
     300: q^2+q
     302: q
     304: q^2
     306: q
     308: q^2
     309: q
     310: q^2+q
     311: q
     312: q^2+2q
     313: q
     314: q^2+2q
     315: q
     316: q^2+2q
     317: q
     318: q^2+q
     319: q
     320: q^2+2q
     321: q
     322: q^2+2q
     323: q
     324: q^2+2q
     326: q
     328: q^2
     330: q
     332: q^2
     333: q
     334: q^2+q
     335: q
     336: q^2+2q
     337: q^2+2q
     338: q^2+2q
     339: q^2+q
     340: q^2+2q
     341: q^2+q
     342: q^2+2q
     343: q^2+q
     344: q^2+2q
     345: q^2+q
     347: q^2
     353: q
     361: q^2
     365: q
     366: q^2+q
     367: q
     369: q
     373: q
     374: q^2+q
     375: q
     377: q
     379: q^2
     384: q^2+q
     385: q
     387: q
     388: q^2+q
     389: q
     390: q
     391: q
     392: q
     393: q^2+q
     395: q
     397: q^2
     399: q
     401: q^2
     402: q
     403: q
     404: q
     405: q
     406: q
     407: q^2+2q
     408: q
     409: q
     410: q
     411: q
     412: q^2+2q
     414: q
     416: q^2
     418: q
     420: q^2
     421: q
     422: q^2+q
     423: q
     424: q^2+2q
     425: q
     426: q^2+2q
     427: q
     428: 1
     429: 1
     430: 1
     432: q^2+2q
     433: q^2+q
     434: q^2+2q
     435: q^2+q
     440: q
     453: q^2
     459: q
     463: q
     469: q
     473: q
     475: q^2
     483: q
     484: q^2+q
     485: q
     486: q^2+q
     487: q
     490: 1
     492: 1
     494: 1
     497: 1
     498: q
     500: q
     502: q^2
     504: q
     506: q^2
     507: q^2+q
     508: q
     509: 1
     510: q
     511: q
     512: q
     513: q^2+2q
     514: q
     515: 1
     516: q
     517: q
     518: q
     519: q^2+2q
     520: q
     521: q
     522: q
     523: q
     524: q
     525: 1
     526: 1
     527: 1
     533: q
     540: 1
     546: q^2
     550: 1
     560: q
     562: 1
     572: q
     575: 1
     582: q
     585: q^2+q
     586: q
     588: 1
     590: 1
     592: 1
     597: 1
     598: q
     599: 1
     600: 1
     601: q
     602: q
     603: 1
     604: 1
     605: q
     606: q
     607: q
     608: q
     609: q
     610: q
     611: 1
     612: 1
     613: 1
     616: 1
     625: q
     632: 1
     639: 1
     642: 1
     646: 1
     652: 1
     656: 1
     661: 1
     674: 1
     676: 1
     678: 1
     682: 1
     684: 1
     686: 1
     687: q
     688: 1
     690: 1
     691: q
     692: q
     693: 1
     694: q
     696: 1
     702: 1
     710: 1
     717: 1
     720: 1
     724: 1
     728: 1
     732: 1
     735: 1
     744: 1
     749: 1
     753: 1
     755: 1
     757: 1
     758: q
     760: 1
     766: 1
     772: 1
     781: 1
     788: 1
     792: 1
     798: 1
     803: 1
     809: 1
     811: 1
     817: 1
     837: 1
     838: 1
     851: 1

852:   0: q^3+2q^2+q
       1: q^3+2q^2+q
       2: q^4+2q^3+2q^2+q
       3: q^5+2q^2+q
       4: q^3+2q^2+q
       5: q^2+q
       6: q^5+2q^2+q
       7: q^3+2q^2+q
       8: q^4+2q^3+2q^2+q
       9: q^6+q^5+q^2+q
      10: q^2+q
      11: q^6+q^5+q^2+q
      12: q^5+2q^4+2q^3+2q^2+q
      13: q^5+q
      14: q^5+q
      15: q^2+q
      16: q^5+q^2+q
      17: q^2+q
      18: q^5+q
      19: q^3+2q^2+q
      20: q^5+2q^2+q
      21: q^3+2q^2+q
      22: q^5+q
      23: q^3+2q^2+q
      24: q^3+2q^2+q
      25: q^5+q^2+q
      26: q^5+q
      27: 2q^2+q
      28: 2q^2+q
      29: q^2+q
      30: q^4+2q^3+2q^2+q
      31: q^3+2q^2+q
      32: q^3+2q^2+q
      33: q^4+2q^3+2q^2+q
      34: q^2+q
      35: q^3+2q^2+q
      36: q^3+2q^2+q
      37: q^4+2q^3+2q^2+q
      38: q^2+q
      39: q^5+q
      40: q^2+q
      41: 2q^2+q
      42: q^2+q
      43: q^3+2q^2+q
      44: q^3+2q^2+q
      45: q^2+q
      46: q^3+2q^2+q
      47: q^3+2q^2+q
      48: q^3+2q^2+q
      50: q^3+2q^2+q
      52: q^4+2q^3+2q^2+q
      54: q^2+q
      56: q^2+q
      57: q^5+q^2+q
      58: q^2+q
      59: q^5+q
      60: q^3+2q^2+q
      61: q^3+2q^2+q
      62: q^5+q^2+q
      63: q^5+q
      64: 2q^2+q
      65: q^2+q
      66: q^3+2q^2+q
      67: q
      68: 2q^2+q
      69: 2q^2+q
      70: q^4+2q^3+2q^2+q
      71: q^2+q
      72: 2q^2+q
      73: 2q^2+q
      74: q^4+2q^3+2q^2+q
      75: q^2+q
      76: q^2+q
      78: q^3+2q^2+q
      80: q^3+2q^2+q
      82: q^5+q
      83: q^2+q
      84: q^2+q
      85: q
      86: 2q^2+q
      87: 2q^2+q
      88: 2q^2+q
      90: 2q^2+q
      92: q^4+2q^3+2q^2+q
      94: q^2+q
      96: q^2+q
      97: q^3+2q^2+q
      98: q^2+q
      99: 2q^2+q
     100: q^2+q
     101: q^3+2q^2+q
     102: q^2+q
     103: 2q^2+q
     104: q^2+q
     105: q^2+q
     106: q
     107: q
     108: 2q^2+q
     109: q^2+q
     110: q^3+2q^2+q
     111: q
     112: 2q^2+q
     113: q^2+q
     114: q^3+2q^2+q
     115: q
     116: 2q^2+q
     117: q^2+q
     118: q^3+2q^2+q
     119: q
     120: 2q^2+q
     121: 2q^2+q
     122: q^4+2q^3+2q^2+q
     123: q^2+q
     124: 2q^2+q
     126: q^2+q
     128: 2q^2+q
     130: q^2+q
     132: q^3+2q^2+q
     134: q
     135: q
     136: 2q^2+q
     138: q^2+q
     140: q^3+2q^2+q
     142: q
     144: q
     145: q^2+q
     146: 2q^2+q
     147: 2q^2+q
     148: q^2+q
     149: q^2+q
     150: q
     151: 2q^2+q
     152: q^2+q
     153: 2q^2+q
     154: q^2+q
     155: q^2+q
     156: q
     157: q^2+q
     158: 2q^2+q
     159: 2q^2+q
     160: q^2+q
     161: 2q^2+q
     162: 2q^2+q
     164: 2q^2+q
     166: q^4+2q^3+2q^2+q
     168: q^2+q
     170: q^2+q
     171: q
     172: q^2+q
     173: q
     174: 2q^2+q
     175: q^2+q
     176: q^3+2q^2+q
     177: q
     178: 2q^2+q
     179: q^2+q
     180: q^3+2q^2+q
     181: q
     182: 2q^2+q
     183: q^2+q
     184: q^3+2q^2+q
     185: q
     186: q^2+q
     188: q
     190: 2q^2+q
     192: 2q^2+q
     194: q^2+q
     196: 2q^2+q
     198: 2q^2+q
     200: q^2+q
     202: q^2+q
     204: 2q^2+q
     206: 2q^2+q
     208: q^2+q
     210: q^3+2q^2+q
     212: q
     214: q
     215: q
     216: q
     217: q^2+q
     218: q^2+q
     219: q^2+q
     220: q^2+q
     221: q
     222: q
     223: q^2+q
     224: 2q^2+q
     225: 2q^2+q
     226: q
     227: q
     228: q^2+q
     229: 2q^2+q
     230: 2q^2+q
     231: q^2+q
     232: 2q^2+q
     234: q^2+q
     236: q^3+2q^2+q
     238: q
     240: q
     241: 2q^2+q
     242: 2q^2+q
     243: q^2+q
     244: q^2+q
     245: q
     246: q^2+q
     247: q
     248: q^2+q
     249: q
     250: q^2+q
     251: q
     252: q^2+q
     253: q
     254: q^2+q
     255: q
     256: 2q^2+q
     257: q^2+q
     258: q^3+2q^2+q
     259: q
     260: q
     262: q^2+q
     264: q
     266: 2q^2+q
     268: q^2+q
     270: q^2+q
     272: 2q^2+q
     274: 2q^2+q
     276: 2q^2+q
     278: 2q^2+q
     280: q^2+q
     282: q
     284: 2q^2+q
     286: q^2+q
     288: q^2+q
     290: q
     292: q^2+q
     294: q
     296: q
     297: q
     298: q
     299: q
     300: q
     301: q^2+q
     303: q
     305: q^2+q
     307: q
     309: q
     310: q
     311: q
     312: q^2+q
     313: q^2+q
     314: q^2+q
     315: q^2+q
     316: q^2+q
     317: q
     318: q
     319: q
     320: q^2+q
     321: q^2+q
     322: q^2+q
     323: q^2+q
     324: q^2+q
     325: 2q^2+q
     327: q^2+q
     329: q^3+2q^2+q
     331: q
     333: q
     334: q
     335: q^2+q
     336: 2q^2+q
     337: 2q^2+q
     338: q^2+q
     339: q
     340: q^2+q
     341: q
     342: q^2+q
     343: q
     344: q^2+q
     345: q
     346: q
     348: q
     350: q
     352: q^2+q
     354: q^2+q
     356: q
     358: q
     360: q
     362: q^2+q
     364: 2q^2+q
     366: q^2+q
     368: q^2+q
     370: q^2+q
     372: 2q^2+q
     374: q^2+q
     376: q^2+q
     378: q
     380: q^2+q
     382: q
     384: 2q^2+q
     386: 2q^2+q
     388: q^2+q
     390: q
     391: q
     392: q
     393: q
     394: q^2+q
     396: q
     398: q^2+q
     400: q
     402: q
     403: q
     404: q
     405: q
     406: q
     407: q^2+q
     408: q
     409: q
     410: q
     411: q
     412: q^2+q
     413: q^2+q
     415: q
     417: q^2+q
     419: q
     421: q
     422: q
     423: q
     424: q^2+q
     425: q^2+q
     426: q^2+q
     427: q^2+q
     436: q^2+q
     442: q
     444: q
     446: q
     448: q
     450: q
     452: q
     454: q^2+q
     456: q
     458: q^2+q
     460: q
     462: q^2+q
     464: q^2+q
     466: q
     468: q^2+q
     470: q
     472: q^2+q
     474: q
     476: q
     478: q
     480: q^2+q
     482: 2q^2+q
     484: q^2+q
     486: q^2+q
     498: q
     510: q
     511: q
     512: q
     514: q
     516: q
     517: q
     518: q
     520: q
     521: q
     522: q
     523: q
     524: q
     529: q^2+q
     537: q
     541: q
     547: q
     551: q
     553: q
     555: q
     557: q
     563: q
     565: q
     567: q
     569: q
     573: q
     577: q^2+q
     579: q
     581: q^2+q
     583: q
     601: q
     605: q
     607: q
     608: q
     609: q
     610: q
     637: q
     643: q
     647: q
     653: q
     657: q
     663: q
     665: q
     667: q
     669: q
     671: q
     692: q
     715: 1
     737: q
     739: q
     747: q
     761: 1
     783: 1
     801: 1
     812: 1
     818: 1
     840: 1
     852: 1

853:   0: q^3+2q^2+2q
       1: q^3+2q^2+2q
       2: 2q^3+2q^2+2q
       3: q^3+2q^2+2q
       4: q^3+2q^2+2q
       5: q^3+2q^2+2q
       6: q^3+2q^2+2q
       7: q^3+2q^2+2q
       8: 2q^3+2q^2+2q
       9: q^3+2q^2+2q
      10: q^3+2q^2+2q
      11: q^3+q^2+q
      12: 2q^3+2q^2+2q
      13: q^3+q^2+q
      14: q^3+q^2+q
      15: q^3+2q^2+2q
      16: q^3+2q^2+2q
      17: q^3+2q^2+2q
      18: q^3+q^2+q
      19: q^3+2q^2+2q
      20: q^3+2q^2+2q
      21: q^3+2q^2+2q
      22: q^3+q^2+q
      23: q^2+2q
      24: q^2+2q
      25: q^2+q
      26: q^2+q
      27: q^3+2q^2+2q
      28: q^3+2q^2+2q
      29: q^3+2q^2+2q
      30: 2q^3+2q^2+2q
      31: q^3+2q^2+2q
      32: q^3+2q^2+2q
      33: 2q^3+2q^2+2q
      34: q^3+2q^2+2q
      35: q^3+2q^2+2q
      36: q^3+2q^2+2q
      37: 2q^3+2q^2+2q
      38: q^3+2q^2+2q
      39: q^2+q
      40: q^3+2q^2+2q
      41: q^3+2q^2+2q
      42: q^3+2q^2+2q
      43: q^3+2q^2+2q
      44: q^2+2q
      45: q^3+2q^2+2q
      46: q^3+2q^2+2q
      47: q^2+2q
      48: q^3+q^2+q
      49: q^2+q
      50: q^3+q^2+q
      51: q^2+q
      52: q^3+q^2+q
      53: q^3+q^2+q
      54: q^3+q^2+q
      55: q^2+q
      56: q^3+2q^2+2q
      57: q^3+2q^2+2q
      58: q^3+2q^2+2q
      59: q^3+q^2+q
      60: q^2+2q
      61: q^2+2q
      62: q^2+q
      63: q^2+q
      64: q^2+2q
      65: q^2+q
      66: q^2+2q
      67: q^2+q
      68: q^3+2q^2+2q
      69: q^3+2q^2+2q
      70: 2q^3+2q^2+2q
      71: q^3+2q^2+2q
      72: q^3+2q^2+2q
      73: q^3+2q^2+2q
      74: 2q^3+2q^2+2q
      75: q^3+2q^2+2q
      76: q^3+q^2+q
      77: q^2+q
      78: q^3+q^2+q
      79: q^2+q
      80: q
      81: q^2+q
      82: q^2+q
      83: q
      84: q^3+2q^2+2q
      85: q^2+q
      86: q^2+2q
      87: q^2+2q
      88: q^3+q^2+q
      89: q^2+q
      90: q^3+q^2+q
      91: q^2+q
      92: q^3+q^2+q
      93: q^3+q^2+q
      94: q^3+q^2+q
      95: q^2+q
      96: q^3+2q^2+2q
      97: q^2+2q
      98: q^3+2q^2+2q
      99: q^3+2q^2+2q
     100: q^3+2q^2+2q
     101: q^2+2q
     102: q^3+2q^2+2q
     103: q^3+2q^2+2q
     104: q^2+2q
     105: q^2+2q
     106: q^2+q
     107: q^2+q
     108: q^2+2q
     109: q^2+q
     110: q^2+2q
     111: q^2+q
     112: q^2+2q
     113: q^2+q
     114: q^2+2q
     115: q^2+q
     116: q^2+2q
     117: q^2+q
     118: q^2+2q
     119: q^2+q
     120: q^3+2q^2+2q
     121: q^3+2q^2+2q
     122: 2q^3+2q^2+2q
     123: q^3+2q^2+2q
     124: q
     125: q^2+q
     126: q^3+q^2+q
     127: q^2+q
     128: q^3+q^2+q
     129: q^2+q
     130: q^3+q^2+q
     131: q^2+q
     132: q
     133: q^2+q
     134: q^2+q
     135: q
     136: q
     138: q^2
     140: q
     142: q^2
     144: q^2+q
     145: q
     146: q^2+2q
     147: q^2+2q
     148: q^2+2q
     149: q
     150: q^2+q
     151: q^2+2q
     152: q^3+2q^2+2q
     153: q^2+2q
     154: q^2+2q
     155: q
     156: q^2+q
     157: q^3+2q^2+2q
     158: q^2+2q
     159: q^2+2q
     160: q^3+2q^2+2q
     161: q^3+2q^2+2q
     162: q^3+q^2+q
     163: q^2+q
     164: q^3+q^2+q
     165: q^2+q
     166: q^3+q^2+q
     167: q^3+q^2+q
     168: q^3+q^2+q
     169: q^2+q
     170: q^2+2q
     171: q^2+q
     172: q^2+2q
     173: q^2+q
     174: q^2+2q
     175: q^2+q
     176: q^2+2q
     177: q^2+q
     178: q^2+2q
     179: q^2+q
     180: q^2+2q
     181: q^2+q
     182: q^2+2q
     183: q^2+q
     184: q^2+2q
     185: q^2+q
     188: q^2
     190: q
     192: q
     193: q^2+q
     194: q^3+q^2+q
     195: q^2+q
     196: q
     197: q^2+q
     198: q
     199: q^2+q
     200: q
     201: q^2+q
     202: q^3+q^2+q
     203: q^2+q
     204: q^3+q^2+q
     205: q^2+q
     206: q
     208: q^2
     210: q
     212: q^2
     214: q
     215: q^2+q
     216: q
     217: q^2+2q
     218: q
     219: q^2+2q
     220: q
     221: q
     222: q^2+q
     223: q
     224: q^2+2q
     225: q^2+2q
     226: q
     227: q^2+q
     228: q
     229: q^2+2q
     230: q^2+2q
     231: q
     232: q
     234: q^2
     236: q
     238: q^2
     240: q^2+q
     241: q^2+2q
     242: q^2+2q
     243: q^3+2q^2+2q
     244: q^2+2q
     245: q^2+q
     246: q^2+2q
     247: q^2+q
     248: q^2+2q
     249: q^2+q
     250: q^2+2q
     251: q^2+q
     252: q^2+2q
     253: q^2+q
     254: q^2+2q
     255: q^2+q
     256: q^2+2q
     257: q^2+q
     258: q^2+2q
     259: q^2+q
     260: q^2
     266: q
     270: q
     271: q^2+q
     272: q
     274: q
     275: q^2+q
     276: q
     278: q
     279: q^2+q
     282: q^2
     284: q
     285: q^2+q
     286: q^3+q^2+q
     287: q^2+q
     288: q
     290: q^2
     292: q
     294: q^2
     296: q
     297: q
     298: q
     299: q
     300: q^2+q
     301: q
     303: q^2
     305: q
     307: q^2
     309: q
     310: q^2+q
     311: q
     312: q^2+2q
     313: q
     314: q^2+2q
     315: q
     316: q^2+2q
     317: q
     318: q^2+q
     319: q
     320: q^2+2q
     321: q
     322: q^2+2q
     323: q
     324: q^2+2q
     325: q
     327: q^2
     329: q
     331: q^2
     333: q
     334: q^2+q
     335: q
     336: q^2+2q
     337: q^2+2q
     338: q^2+2q
     339: q^2+q
     340: q^2+2q
     341: q^2+q
     342: q^2+2q
     343: q^2+q
     344: q^2+2q
     345: q^2+q
     346: q^2
     352: q
     360: q^2
     364: q
     366: q
     367: q^2+q
     368: q
     372: q
     374: q
     375: q^2+q
     376: q
     378: q^2
     384: q
     385: q^2+q
     386: q
     388: q
     389: q^2+q
     390: q
     391: q
     392: q
     393: q^2+q
     394: q
     396: q^2
     398: q
     400: q^2
     402: q
     403: q
     404: q
     405: q
     406: q
     407: q^2+2q
     408: q
     409: q
     410: q
     411: q
     412: q^2+2q
     413: q
     415: q^2
     417: q
     419: q^2
     421: q
     422: q^2+q
     423: q
     424: q^2+2q
     425: q
     426: q^2+2q
     427: q
     428: 1
     429: 1
     430: 1
     432: q^2+2q
     433: q^2+q
     434: q^2+2q
     435: q^2+q
     436: q
     452: q^2
     458: q
     462: q
     468: q
     472: q
     474: q^2
     482: q
     484: q
     485: q^2+q
     486: q
     487: q^2+q
     489: 1
     491: 1
     493: 1
     497: 1
     498: q
     499: q
     501: q^2
     503: q
     505: q^2
     507: q^2+q
     508: q
     509: 1
     510: q
     511: q
     512: q
     513: q^2+2q
     514: q
     515: 1
     516: q
     517: q
     518: q
     519: q^2+2q
     520: q
     521: q
     522: q
     523: q
     524: q
     525: 1
     526: 1
     527: 1
     529: q
     539: 1
     545: q^2
     549: 1
     559: q
     561: 1
     571: q
     576: 1
     581: q
     585: q
     586: q^2+q
     587: 1
     589: 1
     591: 1
     597: 1
     598: q
     599: 1
     600: 1
     601: q
     602: q
     603: 1
     604: 1
     605: q
     606: q
     607: q
     608: q
     609: q
     610: q
     611: 1
     612: 1
     613: 1
     618: 1
     621: q
     631: 1
     640: 1
     641: 1
     645: 1
     651: 1
     655: 1
     662: 1
     673: 1
     675: 1
     677: 1
     682: 1
     684: 1
     686: 1
     687: q
     688: 1
     690: 1
     691: q
     692: q
     693: 1
     694: q
     698: 1
     704: 1
     709: 1
     718: 1
     719: 1
     723: 1
     727: 1
     731: 1
     736: 1
     743: 1
     750: 1
     753: 1
     755: 1
     757: 1
     758: q
     762: 1
     768: 1
     774: 1
     782: 1
     787: 1
     791: 1
     797: 1
     804: 1
     809: 1
     813: 1
     819: 1
     836: 1
     839: 1
     853: 1

854:   0: q+1
       1: q+1
       2: q^2+q+1
       3: q+1
       4: q+1
       5: q+1
       6: q+1
       7: q+1
       8: q^2+q+1
       9: q+1
      10: q+1
      11: 1
      12: q^2+q+1
      13: 1
      14: 1
      15: q+1
      16: q+1
      17: q+1
      18: 1
      19: q+1
      20: q+1
      21: q+1
      22: 1
      23: q+1
      24: q+1
      25: 1
      26: 1
      27: q+1
      28: q+1
      29: q+1
      30: q^2+q+1
      31: q+1
      32: q+1
      33: q^2+q+1
      34: q+1
      35: q+1
      36: q+1
      37: q^2+q+1
      38: q+1
      39: 1
      40: q+1
      41: q+1
      42: q+1
      43: q+1
      44: q+1
      45: q+1
      46: q+1
      47: q+1
      49: q+1
      51: q+1
      53: q^2+q+1
      55: q+1
      56: q+1
      57: q+1
      58: q+1
      59: 1
      60: q+1
      61: q+1
      62: 1
      63: 1
      64: q+1
      65: 1
      66: q+1
      67: 1
      68: q+1
      69: q+1
      70: q^2+q+1
      71: q+1
      72: q+1
      73: q+1
      74: q^2+q+1
      75: q+1
      77: q+1
      79: q+1
      81: q+1
      82: 1
      83: 1
      84: q+1
      85: 1
      86: q+1
      87: q+1
      89: q+1
      91: q+1
      93: q^2+q+1
      95: q+1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     100: q+1
     101: q+1
     102: q+1
     103: q+1
     104: q+1
     105: q+1
     106: 1
     107: 1
     108: q+1
     109: 1
     110: q+1
     111: 1
     112: q+1
     113: 1
     114: q+1
     115: 1
     116: q+1
     117: 1
     118: q+1
     119: 1
     120: q+1
     121: q+1
     122: q^2+q+1
     123: q+1
     125: q+1
     127: q+1
     129: q+1
     131: q+1
     133: q+1
     134: 1
     135: 1
     137: q+1
     139: 1
     141: q+1
     143: 1
     144: 1
     145: 1
     146: q+1
     147: q+1
     148: q+1
     149: 1
     150: 1
     151: q+1
     152: q+1
     153: q+1
     154: q+1
     155: 1
     156: 1
     157: q+1
     158: q+1
     159: q+1
     160: q+1
     161: q+1
     163: q+1
     165: q+1
     167: q^2+q+1
     169: q+1
     170: q+1
     171: 1
     172: q+1
     173: 1
     174: q+1
     175: 1
     176: q+1
     177: 1
     178: q+1
     179: 1
     180: q+1
     181: 1
     182: q+1
     183: 1
     184: q+1
     185: 1
     187: 1
     189: 1
     191: q+1
     193: q+1
     195: q+1
     197: q+1
     199: q+1
     201: q+1
     203: q+1
     205: q+1
     207: q+1
     209: 1
     211: q+1
     213: 1
     214: 1
     215: 1
     216: 1
     217: q+1
     218: 1
     219: q+1
     220: 1
     221: 1
     222: 1
     223: 1
     224: q+1
     225: q+1
     226: 1
     227: 1
     228: 1
     229: q+1
     230: q+1
     231: 1
     233: q+1
     235: 1
     237: q+1
     239: 1
     240: 1
     241: q+1
     242: q+1
     243: q+1
     244: q+1
     245: 1
     246: q+1
     247: 1
     248: q+1
     249: 1
     250: q+1
     251: 1
     252: q+1
     253: 1
     254: q+1
     255: 1
     256: q+1
     257: 1
     258: q+1
     259: 1
     261: 1
     263: 1
     265: 1
     267: q+1
     269: 1
     271: q+1
     273: q+1
     275: q+1
     277: q+1
     279: q+1
     281: 1
     283: 1
     285: q+1
     287: q+1
     289: q+1
     291: 1
     293: q+1
     295: 1
     296: 1
     297: 1
     298: 1
     299: 1
     300: 1
     302: q+1
     304: 1
     306: q+1
     308: 1
     309: 1
     310: 1
     311: 1
     312: q+1
     313: 1
     314: q+1
     315: 1
     316: q+1
     317: 1
     318: 1
     319: 1
     320: q+1
     321: 1
     322: q+1
     323: 1
     324: q+1
     326: q+1
     328: 1
     330: q+1
     332: 1
     333: 1
     334: 1
     335: 1
     336: q+1
     337: q+1
     338: q+1
     339: 1
     340: q+1
     341: 1
     342: q+1
     343: 1
     344: q+1
     345: 1
     347: 1
     349: 1
     351: 1
     353: q+1
     355: 1
     357: 1
     359: 1
     361: 1
     363: 1
     365: q+1
     367: q+1
     369: q+1
     371: 1
     373: q+1
     375: q+1
     377: q+1
     379: 1
     381: 1
     383: 1
     385: q+1
     387: q+1
     389: q+1
     390: 1
     391: 1
     392: 1
     393: 1
     395: q+1
     397: 1
     399: q+1
     401: 1
     402: 1
     403: 1
     404: 1
     405: 1
     406: 1
     407: q+1
     408: 1
     409: 1
     410: 1
     411: 1
     412: q+1
     414: q+1
     416: 1
     418: q+1
     420: 1
     421: 1
     422: 1
     423: 1
     424: q+1
     425: 1
     426: q+1
     427: 1
     428: 1
     429: 1
     430: 1
     432: q+1
     433: 1
     434: q+1
     435: 1
     440: q+1
     443: 1
     445: 1
     447: 1
     449: 1
     451: 1
     453: 1
     455: 1
     457: 1
     459: q+1
     461: 1
     463: q+1
     465: 1
     467: 1
     469: q+1
     471: 1
     473: q+1
     475: 1
     477: 1
     479: 1
     481: 1
     483: q+1
     485: q+1
     487: q+1
     490: 1
     492: 1
     494: 1
     497: 1
     498: 1
     500: q+1
     502: 1
     504: q+1
     506: 1
     507: 1
     508: 1
     509: 1
     510: 1
     511: 1
     512: 1
     513: q+1
     514: 1
     515: 1
     516: 1
     517: 1
     518: 1
     519: q+1
     520: 1
     521: 1
     522: 1
     523: 1
     524: 1
     525: 1
     526: 1
     527: 1
     533: q+1
     538: 1
     540: 1
     542: 1
     544: 1
     546: 1
     548: 1
     550: 1
     552: 1
     554: 1
     556: 1
     558: 1
     560: q+1
     562: 1
     564: 1
     566: 1
     568: 1
     570: 1
     572: q+1
     574: 1
     576: 1
     578: 1
     580: 1
     582: q+1
     584: 1
     586: q+1
     588: 1
     590: 1
     592: 1
     597: 1
     598: 1
     599: 1
     600: 1
     601: 1
     602: 1
     603: 1
     604: 1
     605: 1
     606: 1
     607: 1
     608: 1
     609: 1
     610: 1
     611: 1
     612: 1
     613: 1
     619: 1
     625: q+1
     632: 1
     634: 1
     636: 1
     638: 1
     640: 1
     642: 1
     644: 1
     646: 1
     648: 1
     650: 1
     652: 1
     654: 1
     656: 1
     658: 1
     660: 1
     662: 1
     664: 1
     666: 1
     668: 1
     670: 1
     672: 1
     674: 1
     676: 1
     678: 1
     682: 1
     684: 1
     686: 1
     687: 1
     688: 1
     690: 1
     691: 1
     692: 1
     693: 1
     694: 1
     699: 1
     705: 1
     710: 1
     714: 1
     716: 1
     718: 1
     720: 1
     724: 1
     726: 1
     728: 1
     732: 1
     734: 1
     736: 1
     738: 1
     740: 1
     742: 1
     744: 1
     746: 1
     748: 1
     750: 1
     753: 1
     755: 1
     757: 1
     758: 1
     763: 1
     769: 1
     775: 1
     782: 1
     784: 1
     788: 1
     792: 1
     796: 1
     798: 1
     800: 1
     802: 1
     804: 1
     809: 1
     814: 1
     820: 1
     837: 1
     839: 1
     841: 1
     854: 1

855:   0: q^3+2q^2+q
       1: q^3+2q^2+q
       2: q^4+2q^3+2q^2+q
       3: q^5+2q^2+q
       4: q^3+2q^2+q
       5: q^2+q
       6: q^5+2q^2+q
       7: q^3+2q^2+q
       8: q^4+2q^3+2q^2+q
       9: q^6+q^5+q^2+q
      10: q^2+q
      11: q^6+q^5+q^2+q
      12: q^5+2q^4+2q^3+2q^2+q
      13: q^5+q
      14: q^5+q
      15: q^2+q
      16: q^5+q^2+q
      17: q^2+q
      18: q^5+q
      19: q^3+2q^2+q
      20: q^5+2q^2+q
      21: q^3+2q^2+q
      22: q^5+q
      23: q^3+2q^2+q
      24: q^3+2q^2+q
      25: q^5+q^2+q
      26: q^5+q
      27: 2q^2+q
      28: 2q^2+q
      29: q^2+q
      30: q^4+2q^3+2q^2+q
      31: q^3+2q^2+q
      32: q^3+2q^2+q
      33: q^4+2q^3+2q^2+q
      34: q^2+q
      35: q^3+2q^2+q
      36: q^3+2q^2+q
      37: q^4+2q^3+2q^2+q
      38: q^2+q
      39: q^5+q
      40: q^2+q
      41: 2q^2+q
      42: q^2+q
      43: q^3+2q^2+q
      44: q^3+2q^2+q
      45: q^2+q
      46: q^3+2q^2+q
      47: q^3+2q^2+q
      49: q^3+2q^2+q
      51: q^3+2q^2+q
      53: q^4+2q^3+2q^2+q
      55: q^2+q
      56: q^2+q
      57: q^5+q^2+q
      58: q^2+q
      59: q^5+q
      60: q^3+2q^2+q
      61: q^3+2q^2+q
      62: q^5+q^2+q
      63: q^5+q
      64: 2q^2+q
      65: q^2+q
      66: q^3+2q^2+q
      67: q
      68: 2q^2+q
      69: 2q^2+q
      70: q^4+2q^3+2q^2+q
      71: q^2+q
      72: 2q^2+q
      73: 2q^2+q
      74: q^4+2q^3+2q^2+q
      75: q^2+q
      77: q^2+q
      79: q^3+2q^2+q
      81: q^3+2q^2+q
      82: q^5+q
      83: q^2+q
      84: q^2+q
      85: q
      86: 2q^2+q
      87: 2q^2+q
      89: 2q^2+q
      91: 2q^2+q
      93: q^4+2q^3+2q^2+q
      95: q^2+q
      96: q^2+q
      97: q^3+2q^2+q
      98: q^2+q
      99: 2q^2+q
     100: q^2+q
     101: q^3+2q^2+q
     102: q^2+q
     103: 2q^2+q
     104: q^2+q
     105: q^2+q
     106: q
     107: q
     108: 2q^2+q
     109: q^2+q
     110: q^3+2q^2+q
     111: q
     112: 2q^2+q
     113: q^2+q
     114: q^3+2q^2+q
     115: q
     116: 2q^2+q
     117: q^2+q
     118: q^3+2q^2+q
     119: q
     120: 2q^2+q
     121: 2q^2+q
     122: q^4+2q^3+2q^2+q
     123: q^2+q
     125: 2q^2+q
     127: q^2+q
     129: 2q^2+q
     131: q^2+q
     133: q^3+2q^2+q
     134: q
     135: q
     137: 2q^2+q
     139: q^2+q
     141: q^3+2q^2+q
     143: q
     144: q
     145: q^2+q
     146: 2q^2+q
     147: 2q^2+q
     148: q^2+q
     149: q^2+q
     150: q
     151: 2q^2+q
     152: q^2+q
     153: 2q^2+q
     154: q^2+q
     155: q^2+q
     156: q
     157: q^2+q
     158: 2q^2+q
     159: 2q^2+q
     160: q^2+q
     161: 2q^2+q
     163: 2q^2+q
     165: 2q^2+q
     167: q^4+2q^3+2q^2+q
     169: q^2+q
     170: q^2+q
     171: q
     172: q^2+q
     173: q
     174: 2q^2+q
     175: q^2+q
     176: q^3+2q^2+q
     177: q
     178: 2q^2+q
     179: q^2+q
     180: q^3+2q^2+q
     181: q
     182: 2q^2+q
     183: q^2+q
     184: q^3+2q^2+q
     185: q
     187: q^2+q
     189: q
     191: 2q^2+q
     193: 2q^2+q
     195: q^2+q
     197: 2q^2+q
     199: 2q^2+q
     201: q^2+q
     203: q^2+q
     205: 2q^2+q
     207: 2q^2+q
     209: q^2+q
     211: q^3+2q^2+q
     213: q
     214: q
     215: q
     216: q
     217: q^2+q
     218: q^2+q
     219: q^2+q
     220: q^2+q
     221: q
     222: q
     223: q^2+q
     224: 2q^2+q
     225: 2q^2+q
     226: q
     227: q
     228: q^2+q
     229: 2q^2+q
     230: 2q^2+q
     231: q^2+q
     233: 2q^2+q
     235: q^2+q
     237: q^3+2q^2+q
     239: q
     240: q
     241: 2q^2+q
     242: 2q^2+q
     243: q^2+q
     244: q^2+q
     245: q
     246: q^2+q
     247: q
     248: q^2+q
     249: q
     250: q^2+q
     251: q
     252: q^2+q
     253: q
     254: q^2+q
     255: q
     256: 2q^2+q
     257: q^2+q
     258: q^3+2q^2+q
     259: q
     261: q
     263: q^2+q
     265: q
     267: 2q^2+q
     269: q^2+q
     271: q^2+q
     273: 2q^2+q
     275: 2q^2+q
     277: 2q^2+q
     279: 2q^2+q
     281: q^2+q
     283: q
     285: 2q^2+q
     287: q^2+q
     289: q^2+q
     291: q
     293: q^2+q
     295: q
     296: q
     297: q
     298: q
     299: q
     300: q
     302: q^2+q
     304: q
     306: q^2+q
     308: q
     309: q
     310: q
     311: q
     312: q^2+q
     313: q^2+q
     314: q^2+q
     315: q^2+q
     316: q^2+q
     317: q
     318: q
     319: q
     320: q^2+q
     321: q^2+q
     322: q^2+q
     323: q^2+q
     324: q^2+q
     326: 2q^2+q
     328: q^2+q
     330: q^3+2q^2+q
     332: q
     333: q
     334: q
     335: q^2+q
     336: 2q^2+q
     337: 2q^2+q
     338: q^2+q
     339: q
     340: q^2+q
     341: q
     342: q^2+q
     343: q
     344: q^2+q
     345: q
     347: q
     349: q
     351: q
     353: q^2+q
     355: q^2+q
     357: q
     359: q
     361: q
     363: q^2+q
     365: 2q^2+q
     367: q^2+q
     369: q^2+q
     371: q^2+q
     373: 2q^2+q
     375: q^2+q
     377: q^2+q
     379: q
     381: q^2+q
     383: q
     385: 2q^2+q
     387: 2q^2+q
     389: q^2+q
     390: q
     391: q
     392: q
     393: q
     395: q^2+q
     397: q
     399: q^2+q
     401: q
     402: q
     403: q
     404: q
     405: q
     406: q
     407: q^2+q
     408: q
     409: q
     410: q
     411: q
     412: q^2+q
     414: q^2+q
     416: q
     418: q^2+q
     420: q
     421: q
     422: q
     423: q
     424: q^2+q
     425: q^2+q
     426: q^2+q
     427: q^2+q
     440: q^2+q
     443: q
     445: q
     447: q
     449: q
     451: q
     453: q
     455: q^2+q
     457: q
     459: q^2+q
     461: q
     463: q^2+q
     465: q^2+q
     467: q
     469: q^2+q
     471: q
     473: q^2+q
     475: q
     477: q
     479: q
     481: q^2+q
     483: 2q^2+q
     485: q^2+q
     487: q^2+q
     498: q
     510: q
     511: q
     512: q
     514: q
     516: q
     517: q
     518: q
     520: q
     521: q
     522: q
     523: q
     524: q
     533: q^2+q
     538: q
     542: q
     548: q
     552: q
     554: q
     556: q
     558: q
     564: q
     566: q
     568: q
     570: q
     574: q
     578: q^2+q
     580: q
     582: q^2+q
     584: q
     601: q
     605: q
     607: q
     608: q
     609: q
     610: q
     638: q
     644: q
     648: q
     654: q
     658: q
     664: q
     666: q
     668: q
     670: q
     672: q
     692: q
     716: 1
     738: q
     740: q
     748: q
     764: 1
     784: 1
     802: 1
     815: 1
     821: 1
     841: 1
     855: 1

856:   0: q^3+3q^2+3q+1
       1: 3q^3+q^2+3q+1
       2: q^3+3q^2+3q+1
       3: q^3+3q^2+3q+1
       4: q^3+3q^2+3q+1
       5: 3q^3+q^2+3q+1
       6: 3q^3+q^2+3q+1
       7: 3q^3+q^2+3q+1
       8: q^3+3q^2+3q+1
       9: 3q^3+q^2+3q+1
      10: 3q^3+q^2+3q+1
      11: q^5+3q^3+q^2+2q+1
      12: q^3+3q^2+3q+1
      13: q^5+3q^3+q^2+2q+1
      14: q^6+q^5+q^4+2q^3+q^2+q+1
      15: 3q^3+q^2+3q+1
      16: 3q^3+q^2+3q+1
      17: 3q^3+q^2+3q+1
      18: q^5+3q^3+q^2+2q+1
      19: q^3+q^2+3q+1
      20: q^3+q^2+3q+1
      21: q^3+q^2+3q+1
      22: q^5+2q^3+q^2+q+1
      23: 2q^2+3q+1
      24: 2q^2+3q+1
      25: 2q^3+q^2+2q+1
      26: 2q^3+q^2+2q+1
      27: q^3+3q^2+3q+1
      28: 3q^3+q^2+3q+1
      29: 3q^3+q^2+3q+1
      30: q^3+3q^2+3q+1
      31: q^3+3q^2+3q+1
      32: 3q^3+q^2+3q+1
      33: q^3+3q^2+3q+1
      34: 3q^3+q^2+3q+1
      35: q^3+3q^2+3q+1
      36: 3q^3+q^2+3q+1
      37: q^3+3q^2+3q+1
      38: 3q^3+q^2+3q+1
      39: 2q^3+q^2+2q+1
      40: 3q^3+q^2+3q+1
      41: q^3+q^2+3q+1
      42: 3q^3+q^2+3q+1
      43: q^3+q^2+3q+1
      44: 2q^2+3q+1
      45: 3q^3+q^2+3q+1
      46: q^3+q^2+3q+1
      47: 2q^2+3q+1
      48: q^3+2q^2+2q+1
      49: q^2+q
      50: 2q^3+q^2+2q+1
      51: q^3+q
      52: q^3+2q^2+2q+1
      53: q^2+q
      54: 2q^3+q^2+2q+1
      55: q^3+q
      56: q^3+q^2+3q+1
      57: q^3+q^2+3q+1
      58: q^3+q^2+3q+1
      59: q^5+2q^3+q^2+q+1
      60: 3q+1
      61: 3q+1
      62: q^2+2q+1
      63: q^3+q^2+q+1
      64: 2q^2+3q+1
      65: 2q^3+q^2+2q+1
      66: 2q^2+3q+1
      67: 2q^3+q^2+2q+1
      68: q^3+3q^2+3q+1
      69: 3q^3+q^2+3q+1
      70: q^3+3q^2+3q+1
      71: 3q^3+q^2+3q+1
      72: q^3+3q^2+3q+1
      73: 3q^3+q^2+3q+1
      74: q^3+3q^2+3q+1
      75: 3q^3+q^2+3q+1
      76: 2q^3+q^2+2q+1
      77: q^3+q
      78: q^3+q^2+2q+1
      79: q
      80: q^2+2q+1
      81: q^2+q
      82: q^2+q+1
      83: 2q+1
      84: q^3+q^2+3q+1
      85: 2q^3+q^2+2q+1
      86: 2q^2+3q+1
      87: 2q^2+3q+1
      88: q^3+2q^2+2q+1
      89: q^2+q
      90: 2q^3+q^2+2q+1
      91: q^3+q
      92: q^3+2q^2+2q+1
      93: q^2+q
      94: 2q^3+q^2+2q+1
      95: q^3+q
      96: q^3+q^2+3q+1
      97: 3q+1
      98: 3q^3+q^2+3q+1
      99: q^3+q^2+3q+1
     100: q^3+q^2+3q+1
     101: 3q+1
     102: 3q^3+q^2+3q+1
     103: q^3+q^2+3q+1
     104: 3q+1
     105: 3q+1
     106: q^2+2q+1
     107: q^3+q^2+q+1
     108: 3q+1
     109: q^2+2q+1
     110: 3q+1
     111: q^3+q^2+q+1
     112: 2q^2+3q+1
     113: 2q^3+q^2+2q+1
     114: 2q^2+3q+1
     115: 2q^3+q^2+2q+1
     116: 2q^2+3q+1
     117: 2q^3+q^2+2q+1
     118: 2q^2+3q+1
     119: 2q^3+q^2+2q+1
     120: q^3+3q^2+3q+1
     121: 3q^3+q^2+3q+1
     122: q^3+3q^2+3q+1
     123: 3q^3+q^2+3q+1
     124: q^2+2q+1
     125: q^2+q
     126: 2q^3+q^2+2q+1
     127: q^3+q
     128: q^3+q^2+2q+1
     129: q
     130: q^3+q^2+2q+1
     131: q
     132: 2q+1
     133: q
     134: q^2+q+1
     135: 2q+1
     136: q^2+2q+1
     138: q^3+q^2+q+1
     140: q^2+2q+1
     142: q^3+q^2+q+1
     144: q^2+q+1
     145: 2q+1
     146: 3q+1
     147: 3q+1
     148: 3q+1
     149: 2q+1
     150: 2q^3+q^2+2q+1
     151: 2q^2+3q+1
     152: q^3+q^2+3q+1
     153: 2q^2+3q+1
     154: 3q+1
     155: 2q+1
     156: 2q^3+q^2+2q+1
     157: q^3+q^2+3q+1
     158: 2q^2+3q+1
     159: 2q^2+3q+1
     160: 3q^3+q^2+3q+1
     161: q^3+q^2+3q+1
     162: q^3+2q^2+2q+1
     163: q^2+q
     164: 2q^3+q^2+2q+1
     165: q^3+q
     166: q^3+2q^2+2q+1
     167: q^2+q
     168: 2q^3+q^2+2q+1
     169: q^3+q
     170: 3q+1
     171: q^2+2q+1
     172: 3q+1
     173: q^3+q^2+q+1
     174: 3q+1
     175: q^2+2q+1
     176: 3q+1
     177: q^3+q^2+q+1
     178: 3q+1
     179: q^2+2q+1
     180: 3q+1
     181: q^3+q^2+q+1
     182: 2q^2+3q+1
     183: 2q^3+q^2+2q+1
     184: 2q^2+3q+1
     185: 2q^3+q^2+2q+1
     186: q+1
     188: q^3+q^2+q+1
     190: q^2+2q+1
     192: 2q+1
     193: q
     194: q^3+q^2+2q+1
     195: q
     196: q^2+2q+1
     197: q^2+q
     198: q^2+2q+1
     199: q^2+q
     200: 2q+1
     201: q
     202: 2q^3+q^2+2q+1
     203: q^3+q
     204: q^3+q^2+2q+1
     205: q
     206: q+1
     208: q^2+1
     210: q+1
     212: q^2+1
     214: q+1
     215: q^2+q+1
     216: 2q+1
     217: 3q+1
     218: 2q+1
     219: 3q+1
     220: 2q+1
     221: 2q+1
     222: q^2+q+1
     223: 2q+1
     224: 3q+1
     225: 3q+1
     226: 2q+1
     227: q^2+q+1
     228: 2q+1
     229: 3q+1
     230: 3q+1
     231: 2q+1
     232: q^2+2q+1
     234: q^3+q^2+q+1
     236: q^2+2q+1
     238: q^3+q^2+q+1
     240: 2q^3+q^2+2q+1
     241: 2q^2+3q+1
     242: 2q^2+3q+1
     243: q^3+q^2+3q+1
     244: 2q^2+3q+1
     245: 2q^3+q^2+2q+1
     246: 2q^2+3q+1
     247: 2q^3+q^2+2q+1
     248: 3q+1
     249: q^2+2q+1
     250: 3q+1
     251: q^3+q^2+q+1
     252: 3q+1
     253: q^2+2q+1
     254: 3q+1
     255: q^3+q^2+q+1
     256: 3q+1
     257: q^2+2q+1
     258: 3q+1
     259: q^3+q^2+q+1
     260: q^2+1
     262: 1
     264: q+1
     266: q+1
     268: q+1
     270: 2q+1
     271: q
     272: q^2+2q+1
     274: 2q+1
     275: q
     276: q^2+2q+1
     278: 2q+1
     279: q
     280: q+1
     282: q^3+q^2+q+1
     284: q^2+2q+1
     285: q^2+q
     286: q^3+q^2+2q+1
     287: q
     288: q+1
     290: q^2+1
     292: q+1
     294: q^2+1
     296: q+1
     297: 2q+1
     298: 2q+1
     299: 2q+1
     300: 2q^3+q^2+2q+1
     301: q^2+2q+1
     303: q^3+q^2+q+1
     305: q^2+2q+1
     307: q^3+q^2+q+1
     309: q+1
     310: q^2+q+1
     311: 2q+1
     312: 3q+1
     313: 2q+1
     314: 3q+1
     315: 2q+1
     316: 2q^2+3q+1
     317: q+1
     318: q^2+q+1
     319: 2q+1
     320: 3q+1
     321: 2q+1
     322: 3q+1
     323: 2q+1
     324: 2q^2+3q+1
     325: q+1
     327: q^2+1
     329: q+1
     331: q^2+1
     333: 2q+1
     334: q^2+q+1
     335: 2q+1
     336: 3q+1
     337: 3q+1
     338: 3q+1
     339: q^2+2q+1
     340: 3q+1
     341: q^3+q^2+q+1
     342: 3q+1
     343: q^2+2q+1
     344: 3q+1
     345: q^3+q^2+q+1
     346: q^2+1
     348: 1
     350: 1
     352: q+1
     354: 1
     356: q+1
     358: q+1
     360: q^3+q^2+q+1
     362: q+1
     364: q+1
     366: 2q+1
     367: q
     368: q^2+2q+1
     370: q+1
     372: q+1
     374: 2q+1
     375: q
     376: q^2+2q+1
     378: q^2+1
     380: 1
     382: q+1
     384: 2q+1
     385: q
     386: q^2+2q+1
     388: q^2+2q+1
     389: q^2+q
     390: q+1
     391: q+1
     392: 2q+1
     393: q^2+q+1
     394: q+1
     396: q^2+1
     398: q+1
     400: q^2+1
     402: 2q+1
     403: q+1
     404: 2q+1
     405: 2q+1
     406: 2q+1
     407: 3q+1
     408: q+1
     409: 2q+1
     410: 2q+1
     411: 2q+1
     412: 3q+1
     413: q+1
     415: q^2+1
     417: q+1
     419: q^2+1
     421: q+1
     422: q^2+q+1
     423: 2q+1
     424: 3q+1
     425: 2q+1
     426: 3q+1
     427: 2q+1
     428: 2
     429: 2
     430: 2
     431: q^2+1
     432: 3q+1
     433: q^2+2q+1
     434: 3q+1
     435: q^3+q^2+q+1
     436: q^2+2q+1
     442: 1
     444: 1
     446: 1
     448: 1
     450: q+1
     452: q^2+1
     454: 1
     456: q+1
     458: q+1
     460: q+1
     462: q+1
     464: 1
     466: q+1
     468: q+1
     470: q+1
     472: q+1
     474: q^2+1
     476: 1
     478: 1
     480: q+1
     482: q+1
     484: 2q+1
     485: q
     486: 2q+1
     487: q
     488: 1
     489: 2
     491: 2
     493: 2
     495: q^2+1
     497: 2
     498: q+1
     499: q+1
     501: q^2+1
     503: q+1
     505: q^2+1
     507: q^2+q+1
     508: 2q+1
     509: 2
     510: q+1
     511: q+1
     512: 2q+1
     513: 3q+1
     514: 2q+1
     515: 2
     516: q+1
     517: q+1
     518: 2q+1
     519: 3q+1
     520: 2q+1
     521: q+1
     522: 2q+1
     523: 2q+1
     524: 2q+1
     525: 2
     526: 2
     527: 2
     528: q^2+1
     529: q+1
     535: 1
     537: 1
     539: 2
     541: 1
     543: 1
     545: q^2+1
     547: q+1
     549: 2
     551: 1
     553: 1
     555: 1
     557: q+1
     559: q+1
     561: 2
     563: 1
     565: 1
     567: 1
     569: q+1
     571: q+1
     573: 1
     575: 1
     576: 1
     577: 1
     579: q+1
     581: q+1
     583: q+1
     585: 2q+1
     586: q
     587: 2
     589: 2
     591: 2
     593: q^2+1
     595: 1
     596: 1
     597: 2
     598: q+1
     599: 2
     600: 2
     601: q+1
     602: 2q+1
     603: 2
     604: 2
     605: q+1
     606: 2q+1
     607: q+1
     608: q+1
     609: 2q+1
     610: 2q+1
     615: 1
     618: 1
     621: q+1
     627: 1
     629: 1
     631: 2
     633: 1
     635: q+1
     637: 1
     639: 1
     640: 1
     641: 2
     643: 1
     645: 2
     647: 1
     649: 1
     651: 2
     653: 1
     655: 2
     657: 1
     659: 1
     661: 1
     662: 1
     663: 1
     665: 1
     667: 1
     669: q+1
     671: q+1
     683: 1
     685: 1
     686: 2
     687: q+1
     689: 1
     690: 2
     691: q+1
     692: q+1
     693: 2
     694: 2q+1
     695: 1
     698: 1
     701: 1
     704: 1
     711: 1
     713: 1
     715: 1
     717: 1
     718: 1
     721: 1
     723: 2
     725: 1
     729: 1
     731: 2
     733: 1
     737: 1
     739: 1
     741: 1
     743: 2
     745: q+1
     747: 1
     749: 1
     750: 1
     752: 1
     754: 1
     756: 1
     757: 2
     758: q+1
     759: 1
     762: 1
     771: 1
     774: 1
     783: 1
     785: 1
     789: 1
     793: 1
     795: 1
     797: 2
     799: 1
     801: 1
     803: 1
     804: 1
     805: 1
     808: 1
     816: 1
     819: 1
     826: 1
     834: 1
     840: 1
     842: 1
     856: 1

857:   0: q^3+3q^2+3q+1
       1: 3q^3+q^2+3q+1
       2: q^3+3q^2+3q+1
       3: q^3+3q^2+3q+1
       4: q^3+3q^2+3q+1
       5: 3q^3+q^2+3q+1
       6: 3q^3+q^2+3q+1
       7: 3q^3+q^2+3q+1
       8: q^3+3q^2+3q+1
       9: 3q^3+q^2+3q+1
      10: 3q^3+q^2+3q+1
      11: q^5+3q^3+q^2+2q+1
      12: q^3+3q^2+3q+1
      13: q^5+3q^3+q^2+2q+1
      14: q^6+q^5+q^4+2q^3+q^2+q+1
      15: 3q^3+q^2+3q+1
      16: 3q^3+q^2+3q+1
      17: 3q^3+q^2+3q+1
      18: q^5+3q^3+q^2+2q+1
      19: q^3+q^2+3q+1
      20: q^3+q^2+3q+1
      21: q^3+q^2+3q+1
      22: q^5+2q^3+q^2+q+1
      23: 2q^2+3q+1
      24: 2q^2+3q+1
      25: 2q^3+q^2+2q+1
      26: 2q^3+q^2+2q+1
      27: q^3+3q^2+3q+1
      28: 3q^3+q^2+3q+1
      29: 3q^3+q^2+3q+1
      30: q^3+3q^2+3q+1
      31: q^3+3q^2+3q+1
      32: 3q^3+q^2+3q+1
      33: q^3+3q^2+3q+1
      34: 3q^3+q^2+3q+1
      35: q^3+3q^2+3q+1
      36: 3q^3+q^2+3q+1
      37: q^3+3q^2+3q+1
      38: 3q^3+q^2+3q+1
      39: 2q^3+q^2+2q+1
      40: 3q^3+q^2+3q+1
      41: q^3+q^2+3q+1
      42: 3q^3+q^2+3q+1
      43: q^3+q^2+3q+1
      44: 2q^2+3q+1
      45: 3q^3+q^2+3q+1
      46: q^3+q^2+3q+1
      47: 2q^2+3q+1
      48: q^2+q
      49: q^3+2q^2+2q+1
      50: q^3+q
      51: 2q^3+q^2+2q+1
      52: q^2+q
      53: q^3+2q^2+2q+1
      54: q^3+q
      55: 2q^3+q^2+2q+1
      56: q^3+q^2+3q+1
      57: q^3+q^2+3q+1
      58: q^3+q^2+3q+1
      59: q^5+2q^3+q^2+q+1
      60: 3q+1
      61: 3q+1
      62: q^2+2q+1
      63: q^3+q^2+q+1
      64: 2q^2+3q+1
      65: 2q^3+q^2+2q+1
      66: 2q^2+3q+1
      67: 2q^3+q^2+2q+1
      68: q^3+3q^2+3q+1
      69: 3q^3+q^2+3q+1
      70: q^3+3q^2+3q+1
      71: 3q^3+q^2+3q+1
      72: q^3+3q^2+3q+1
      73: 3q^3+q^2+3q+1
      74: q^3+3q^2+3q+1
      75: 3q^3+q^2+3q+1
      76: q^3+q
      77: 2q^3+q^2+2q+1
      78: q
      79: q^3+q^2+2q+1
      80: q^2+q
      81: q^2+2q+1
      82: q^2+q+1
      83: 2q+1
      84: q^3+q^2+3q+1
      85: 2q^3+q^2+2q+1
      86: 2q^2+3q+1
      87: 2q^2+3q+1
      88: q^2+q
      89: q^3+2q^2+2q+1
      90: q^3+q
      91: 2q^3+q^2+2q+1
      92: q^2+q
      93: q^3+2q^2+2q+1
      94: q^3+q
      95: 2q^3+q^2+2q+1
      96: q^3+q^2+3q+1
      97: 3q+1
      98: 3q^3+q^2+3q+1
      99: q^3+q^2+3q+1
     100: q^3+q^2+3q+1
     101: 3q+1
     102: 3q^3+q^2+3q+1
     103: q^3+q^2+3q+1
     104: 3q+1
     105: 3q+1
     106: q^2+2q+1
     107: q^3+q^2+q+1
     108: 3q+1
     109: q^2+2q+1
     110: 3q+1
     111: q^3+q^2+q+1
     112: 2q^2+3q+1
     113: 2q^3+q^2+2q+1
     114: 2q^2+3q+1
     115: 2q^3+q^2+2q+1
     116: 2q^2+3q+1
     117: 2q^3+q^2+2q+1
     118: 2q^2+3q+1
     119: 2q^3+q^2+2q+1
     120: q^3+3q^2+3q+1
     121: 3q^3+q^2+3q+1
     122: q^3+3q^2+3q+1
     123: 3q^3+q^2+3q+1
     124: q^2+q
     125: q^2+2q+1
     126: q^3+q
     127: 2q^3+q^2+2q+1
     128: q
     129: q^3+q^2+2q+1
     130: q
     131: q^3+q^2+2q+1
     132: q
     133: 2q+1
     134: q^2+q+1
     135: 2q+1
     137: q^2+2q+1
     139: q^3+q^2+q+1
     141: q^2+2q+1
     143: q^3+q^2+q+1
     144: q^2+q+1
     145: 2q+1
     146: 3q+1
     147: 3q+1
     148: 3q+1
     149: 2q+1
     150: 2q^3+q^2+2q+1
     151: 2q^2+3q+1
     152: q^3+q^2+3q+1
     153: 2q^2+3q+1
     154: 3q+1
     155: 2q+1
     156: 2q^3+q^2+2q+1
     157: q^3+q^2+3q+1
     158: 2q^2+3q+1
     159: 2q^2+3q+1
     160: 3q^3+q^2+3q+1
     161: q^3+q^2+3q+1
     162: q^2+q
     163: q^3+2q^2+2q+1
     164: q^3+q
     165: 2q^3+q^2+2q+1
     166: q^2+q
     167: q^3+2q^2+2q+1
     168: q^3+q
     169: 2q^3+q^2+2q+1
     170: 3q+1
     171: q^2+2q+1
     172: 3q+1
     173: q^3+q^2+q+1
     174: 3q+1
     175: q^2+2q+1
     176: 3q+1
     177: q^3+q^2+q+1
     178: 3q+1
     179: q^2+2q+1
     180: 3q+1
     181: q^3+q^2+q+1
     182: 2q^2+3q+1
     183: 2q^3+q^2+2q+1
     184: 2q^2+3q+1
     185: 2q^3+q^2+2q+1
     187: q+1
     189: q^3+q^2+q+1
     191: q^2+2q+1
     192: q
     193: 2q+1
     194: q
     195: q^3+q^2+2q+1
     196: q^2+q
     197: q^2+2q+1
     198: q^2+q
     199: q^2+2q+1
     200: q
     201: 2q+1
     202: q^3+q
     203: 2q^3+q^2+2q+1
     204: q
     205: q^3+q^2+2q+1
     207: q+1
     209: q^2+1
     211: q+1
     213: q^2+1
     214: q+1
     215: q^2+q+1
     216: 2q+1
     217: 3q+1
     218: 2q+1
     219: 3q+1
     220: 2q+1
     221: 2q+1
     222: q^2+q+1
     223: 2q+1
     224: 3q+1
     225: 3q+1
     226: 2q+1
     227: q^2+q+1
     228: 2q+1
     229: 3q+1
     230: 3q+1
     231: 2q+1
     233: q^2+2q+1
     235: q^3+q^2+q+1
     237: q^2+2q+1
     239: q^3+q^2+q+1
     240: 2q^3+q^2+2q+1
     241: 2q^2+3q+1
     242: 2q^2+3q+1
     243: q^3+q^2+3q+1
     244: 2q^2+3q+1
     245: 2q^3+q^2+2q+1
     246: 2q^2+3q+1
     247: 2q^3+q^2+2q+1
     248: 3q+1
     249: q^2+2q+1
     250: 3q+1
     251: q^3+q^2+q+1
     252: 3q+1
     253: q^2+2q+1
     254: 3q+1
     255: q^3+q^2+q+1
     256: 3q+1
     257: q^2+2q+1
     258: 3q+1
     259: q^3+q^2+q+1
     261: q^2+1
     263: 1
     265: q+1
     267: q+1
     269: q+1
     270: q
     271: 2q+1
     273: q^2+2q+1
     274: q
     275: 2q+1
     277: q^2+2q+1
     278: q
     279: 2q+1
     281: q+1
     283: q^3+q^2+q+1
     284: q^2+q
     285: q^2+2q+1
     286: q
     287: q^3+q^2+2q+1
     289: q+1
     291: q^2+1
     293: q+1
     295: q^2+1
     296: q+1
     297: 2q+1
     298: 2q+1
     299: 2q+1
     300: 2q^3+q^2+2q+1
     302: q^2+2q+1
     304: q^3+q^2+q+1
     306: q^2+2q+1
     308: q^3+q^2+q+1
     309: q+1
     310: q^2+q+1
     311: 2q+1
     312: 3q+1
     313: 2q+1
     314: 3q+1
     315: 2q+1
     316: 2q^2+3q+1
     317: q+1
     318: q^2+q+1
     319: 2q+1
     320: 3q+1
     321: 2q+1
     322: 3q+1
     323: 2q+1
     324: 2q^2+3q+1
     326: q+1
     328: q^2+1
     330: q+1
     332: q^2+1
     333: 2q+1
     334: q^2+q+1
     335: 2q+1
     336: 3q+1
     337: 3q+1
     338: 3q+1
     339: q^2+2q+1
     340: 3q+1
     341: q^3+q^2+q+1
     342: 3q+1
     343: q^2+2q+1
     344: 3q+1
     345: q^3+q^2+q+1
     347: q^2+1
     349: 1
     351: 1
     353: q+1
     355: 1
     357: q+1
     359: q+1
     361: q^3+q^2+q+1
     363: q+1
     365: q+1
     366: q
     367: 2q+1
     369: q^2+2q+1
     371: q+1
     373: q+1
     374: q
     375: 2q+1
     377: q^2+2q+1
     379: q^2+1
     381: 1
     383: q+1
     384: q
     385: 2q+1
     387: q^2+2q+1
     388: q^2+q
     389: q^2+2q+1
     390: q+1
     391: q+1
     392: 2q+1
     393: q^2+q+1
     395: q+1
     397: q^2+1
     399: q+1
     401: q^2+1
     402: 2q+1
     403: q+1
     404: 2q+1
     405: 2q+1
     406: 2q+1
     407: 3q+1
     408: q+1
     409: 2q+1
     410: 2q+1
     411: 2q+1
     412: 3q+1
     414: q+1
     416: q^2+1
     418: q+1
     420: q^2+1
     421: q+1
     422: q^2+q+1
     423: 2q+1
     424: 3q+1
     425: 2q+1
     426: 3q+1
     427: 2q+1
     428: 2
     429: 2
     430: 2
     431: q^2+1
     432: 3q+1
     433: q^2+2q+1
     434: 3q+1
     435: q^3+q^2+q+1
     440: q^2+2q+1
     443: 1
     445: 1
     447: 1
     449: 1
     451: q+1
     453: q^2+1
     455: 1
     457: q+1
     459: q+1
     461: q+1
     463: q+1
     465: 1
     467: q+1
     469: q+1
     471: q+1
     473: q+1
     475: q^2+1
     477: 1
     479: 1
     481: q+1
     483: q+1
     484: q
     485: 2q+1
     486: q
     487: 2q+1
     488: 1
     490: 2
     492: 2
     494: 2
     496: q^2+1
     497: 2
     498: q+1
     500: q+1
     502: q^2+1
     504: q+1
     506: q^2+1
     507: q^2+q+1
     508: 2q+1
     509: 2
     510: q+1
     511: q+1
     512: 2q+1
     513: 3q+1
     514: 2q+1
     515: 2
     516: q+1
     517: q+1
     518: 2q+1
     519: 3q+1
     520: 2q+1
     521: q+1
     522: 2q+1
     523: 2q+1
     524: 2q+1
     525: 2
     526: 2
     527: 2
     528: q^2+1
     533: q+1
     536: 1
     538: 1
     540: 2
     542: 1
     544: 1
     546: q^2+1
     548: q+1
     550: 2
     552: 1
     554: 1
     556: 1
     558: q+1
     560: q+1
     562: 2
     564: 1
     566: 1
     568: 1
     570: q+1
     572: q+1
     574: 1
     575: 1
     576: 1
     578: 1
     580: q+1
     582: q+1
     584: q+1
     585: q
     586: 2q+1
     588: 2
     590: 2
     592: 2
     594: q^2+1
     595: 1
     596: 1
     597: 2
     598: q+1
     599: 2
     600: 2
     601: q+1
     602: 2q+1
     603: 2
     604: 2
     605: q+1
     606: 2q+1
     607: q+1
     608: q+1
     609: 2q+1
     610: 2q+1
     616: 1
     619: 1
     625: q+1
     628: 1
     630: 1
     632: 2
     634: 1
     636: q+1
     638: 1
     639: 1
     640: 1
     642: 2
     644: 1
     646: 2
     648: 1
     650: 1
     652: 2
     654: 1
     656: 2
     658: 1
     660: 1
     661: 1
     662: 1
     664: 1
     666: 1
     668: 1
     670: q+1
     672: q+1
     683: 1
     685: 1
     686: 2
     687: q+1
     689: 1
     690: 2
     691: q+1
     692: q+1
     693: 2
     694: 2q+1
     696: 1
     699: 1
     702: 1
     705: 1
     712: 1
     714: 1
     716: 1
     717: 1
     718: 1
     722: 1
     724: 2
     726: 1
     730: 1
     732: 2
     734: 1
     738: 1
     740: 1
     742: 1
     744: 2
     746: q+1
     748: 1
     749: 1
     750: 1
     752: 1
     754: 1
     756: 1
     757: 2
     758: q+1
     760: 1
     763: 1
     772: 1
     775: 1
     784: 1
     786: 1
     790: 1
     794: 1
     796: 1
     798: 2
     800: 1
     802: 1
     803: 1
     804: 1
     805: 1
     808: 1
     817: 1
     820: 1
     827: 1
     835: 1
     841: 1
     842: 1
     857: 1

858:   0: q^2+q+1
       1: q^3+q+1
       2: q^2+q+1
       3: q^2+q+1
       4: q^2+q+1
       5: 2q^3+1
       6: q^3+q+1
       7: q^3+q+1
       8: q^2+q+1
       9: 2q^3+1
      10: 2q^3+1
      11: q^3+q+1
      12: q^2+q+1
      13: 2q^3+1
      14: q^6+q^3+1
      15: q^3+1
      16: q^3+1
      17: q^3+1
      18: q^3+1
      19: q+1
      20: q+1
      21: q+1
      22: q^3+1
      23: q^2+q+1
      24: q^2+q+1
      25: q^3+q+1
      26: 2q^3+1
      27: q^2+q+1
      28: q^3+q+1
      29: 2q^3+1
      30: q^2+q+1
      31: q^2+q+1
      32: q^3+q+1
      33: q^2+q+1
      34: 2q^3+1
      35: q^2+q+1
      36: q^3+q+1
      37: q^2+q+1
      38: 2q^3+1
      39: q^3+1
      40: q^3+1
      41: q+1
      42: q^3+1
      43: q+1
      44: q^2+q+1
      45: q^3+1
      46: q+1
      47: q^2+q+1
      48: q^2+1
      49: q
      50: q^3+1
      51: q
      52: q^2+1
      53: q
      54: q^3+1
      55: q^3
      56: 1
      57: 1
      58: 1
      59: 1
      60: q+1
      61: q+1
      62: q+1
      63: q^3+1
      64: q^2+q+1
      65: q^3+q+1
      66: q^2+q+1
      67: 2q^3+1
      68: q^2+q+1
      69: q^3+q+1
      70: q^2+q+1
      71: 2q^3+1
      72: q^2+q+1
      73: q^3+q+1
      74: q^2+q+1
      75: 2q^3+1
      76: q^3+1
      78: 1
      79: q
      80: q^2+1
      81: q
      82: 1
      83: q+1
      84: 1
      85: q^3+1
      86: q^2+q+1
      87: q^2+q+1
      88: q^2+1
      89: q
      90: q^3+1
      91: q
      92: q^2+1
      93: q
      94: q^3+1
      95: q^3
      96: 1
      97: q+1
      98: q^3+1
      99: q+1
     100: 1
     101: q+1
     102: q^3+1
     103: q+1
     104: 1
     105: 1
     106: 1
     107: 1
     108: q+1
     109: q+1
     110: q+1
     111: q^3+1
     112: q^2+q+1
     113: q^3+q+1
     114: q^2+q+1
     115: 2q^3+1
     116: q^2+q+1
     117: q^3+q+1
     118: q^2+q+1
     119: 2q^3+1
     120: q^2+q+1
     121: q^3+q+1
     122: q^2+q+1
     123: 2q^3+1
     124: q^2+1
     125: q
     126: q^3+1
     128: 1
     129: q
     130: 1
     132: 1
     133: q
     134: 1
     135: 1
     136: q^2+1
     137: q
     138: q^3+1
     139: q
     140: q^2+1
     141: q
     142: q^3+1
     143: q^3
     144: 1
     145: q+1
     146: q+1
     147: q+1
     148: 1
     149: q+1
     150: q^3+1
     151: q^2+q+1
     152: 1
     153: q^2+q+1
     154: 1
     155: q+1
     156: q^3+1
     157: 1
     158: q^2+q+1
     159: q^2+q+1
     160: q^3+1
     161: q+1
     162: q^2+1
     163: q
     164: q^3+1
     165: q
     166: q^2+1
     167: q
     168: q^3+1
     169: q^3
     170: 1
     171: 1
     172: 1
     173: 1
     174: q+1
     175: q+1
     176: q+1
     177: q^3+1
     178: q+1
     179: q+1
     180: q+1
     181: q^3+1
     182: q^2+q+1
     183: q^3+q+1
     184: q^2+q+1
     185: 2q^3+1
     186: 1
     187: q
     188: q^3+1
     190: q^2+1
     191: q
     192: 1
     193: q
     194: 1
     196: q^2+1
     197: q
     198: q^2+1
     199: q
     200: 1
     202: q^3+1
     204: 1
     205: q
     206: 1
     208: 1
     210: 1
     212: 1
     214: 1
     215: 1
     216: 1
     217: 1
     218: q+1
     219: 1
     220: q+1
     221: 1
     222: 1
     223: q+1
     224: q+1
     225: q+1
     226: 1
     227: 1
     228: q+1
     229: q+1
     230: q+1
     231: q+1
     232: q^2+1
     233: q
     234: q^3+1
     235: q
     236: q^2+1
     237: q
     238: q^3+1
     239: q^3
     240: q^3+1
     241: q^2+q+1
     242: q^2+q+1
     243: 1
     244: q^2+q+1
     245: q^3+q+1
     246: q^2+q+1
     247: 2q^3+1
     248: 1
     249: 1
     250: 1
     251: 1
     252: 1
     253: 1
     254: 1
     255: 1
     256: q+1
     257: q+1
     258: q+1
     259: q^3+1
     260: 1
     262: 1
     264: 1
     266: 1
     268: 1
     269: q
     270: 1
     272: q^2+1
     273: q
     274: 1
     275: q
     276: q^2+1
     277: q
     278: 1
     279: q
     280: 1
     281: q
     282: q^3+1
     284: q^2+1
     285: q
     286: 1
     296: 1
     297: 1
     298: 1
     299: q+1
     300: q^3+1
     301: q^2+1
     302: q
     303: q^3+1
     304: q
     305: q^2+1
     306: q
     307: q^3+1
     308: q^3
     309: 1
     310: 1
     311: 1
     312: 1
     313: q+1
     314: 1
     315: q+1
     316: q^2+q+1
     317: 1
     318: 1
     319: 1
     320: 1
     321: q+1
     322: 1
     323: q+1
     324: q^2+q+1
     325: 1
     327: 1
     329: 1
     331: 1
     333: 1
     334: 1
     335: q+1
     336: q+1
     337: q+1
     338: q+1
     339: q+1
     340: q+1
     341: q^3+1
     342: 1
     343: 1
     344: 1
     345: 1
     350: 1
     354: 1
     356: 1
     358: 1
     359: q
     360: q^3+1
     362: 1
     363: q
     364: 1
     366: 1
     368: q^2+1
     369: q
     370: 1
     371: q
     372: 1
     374: 1
     376: q^2+1
     377: q
     378: 1
     380: 1
     382: 1
     384: 1
     385: q
     386: q^2+1
     387: q
     388: q^2+1
     389: q
     390: 1
     391: 1
     392: 1
     393: 1
     394: 1
     396: 1
     398: 1
     400: 1
     402: q+1
     403: 1
     404: 1
     405: 1
     406: q+1
     407: q+1
     408: 1
     409: 1
     410: 1
     411: q+1
     412: q+1
     421: 1
     422: 1
     423: 1
     424: 1
     425: q+1
     426: 1
     427: q+1
     428: q+1
     429: q+1
     430: q+1
     431: q^3+1
     432: 1
     433: 1
     434: 1
     435: 1
     436: q^2+1
     440: q
     444: 1
     448: 1
     450: 1
     452: 1
     454: 1
     456: 1
     460: 1
     461: q
     462: 1
     464: 1
     466: 1
     470: 1
     471: q
     472: 1
     478: 1
     480: 1
     481: q
     482: 1
     484: 1
     486: 1
     487: q
     488: 1
     489: 1
     491: 1
     493: 1
     495: 1
     497: q+1
     498: 1
     507: 1
     508: 1
     509: q+1
     510: 1
     511: 1
     512: 1
     513: 1
     514: q+1
     515: q+1
     516: 1
     517: 1
     518: 1
     519: 1
     520: q+1
     521: 1
     522: 1
     523: 1
     524: q+1
     525: 1
     526: 1
     527: 1
     528: 1
     529: 1
     535: 1
     539: 1
     541: 1
     547: 1
     548: q
     549: 1
     551: 1
     555: 1
     557: 1
     561: 1
     563: 1
     567: 1
     569: 1
     575: 1
     576: q
     577: 1
     579: 1
     583: 1
     584: q
     585: 1
     595: 1
     596: 1
     597: 1
     598: 1
     599: 1
     600: q+1
     601: 1
     602: 1
     603: 1
     604: q+1
     605: 1
     606: 1
     607: 1
     608: 1
     609: 1
     610: q+1
     615: 1
     629: 1
     635: 1
     637: 1
     639: 1
     640: q
     645: 1
     647: 1
     655: 1
     657: 1
     661: 1
     663: 1
     667: 1
     669: 1
     671: 1
     672: q
     683: 1
     685: 1
     686: 1
     687: 1
     689: 1
     690: 1
     691: 1
     692: 1
     693: q+1
     694: 1
     695: 1
     713: 1
     717: 1
     721: 1
     729: 1
     739: 1
     743: 1
     745: 1
     747: 1
     749: 1
     750: q
     752: 1
     754: 1
     756: 1
     757: 1
     758: 1
     771: 1
     777: 1
     793: 1
     799: 1
     803: 1
     805: 1
     808: 1
     826: 1
     832: 1
     842: 1
     858: 1

859:   0: q^2+q+1
       1: q^3+q+1
       2: q^2+q+1
       3: q^2+q+1
       4: q^2+q+1
       5: 2q^3+1
       6: q^3+q+1
       7: q^3+q+1
       8: q^2+q+1
       9: 2q^3+1
      10: 2q^3+1
      11: q^3+q+1
      12: q^2+q+1
      13: 2q^3+1
      14: q^6+q^3+1
      15: q^3+1
      16: q^3+1
      17: q^3+1
      18: q^3+1
      19: q+1
      20: q+1
      21: q+1
      22: q^3+1
      23: q^2+q+1
      24: q^2+q+1
      25: q^3+q+1
      26: 2q^3+1
      27: q^2+q+1
      28: q^3+q+1
      29: 2q^3+1
      30: q^2+q+1
      31: q^2+q+1
      32: q^3+q+1
      33: q^2+q+1
      34: 2q^3+1
      35: q^2+q+1
      36: q^3+q+1
      37: q^2+q+1
      38: 2q^3+1
      39: q^3+1
      40: q^3+1
      41: q+1
      42: q^3+1
      43: q+1
      44: q^2+q+1
      45: q^3+1
      46: q+1
      47: q^2+q+1
      48: q
      49: q^2+1
      50: q
      51: q^3+1
      52: q
      53: q^2+1
      54: q^3
      55: q^3+1
      56: 1
      57: 1
      58: 1
      59: 1
      60: q+1
      61: q+1
      62: q+1
      63: q^3+1
      64: q^2+q+1
      65: q^3+q+1
      66: q^2+q+1
      67: 2q^3+1
      68: q^2+q+1
      69: q^3+q+1
      70: q^2+q+1
      71: 2q^3+1
      72: q^2+q+1
      73: q^3+q+1
      74: q^2+q+1
      75: 2q^3+1
      77: q^3+1
      78: q
      79: 1
      80: q
      81: q^2+1
      82: 1
      83: q+1
      84: 1
      85: q^3+1
      86: q^2+q+1
      87: q^2+q+1
      88: q
      89: q^2+1
      90: q
      91: q^3+1
      92: q
      93: q^2+1
      94: q^3
      95: q^3+1
      96: 1
      97: q+1
      98: q^3+1
      99: q+1
     100: 1
     101: q+1
     102: q^3+1
     103: q+1
     104: 1
     105: 1
     106: 1
     107: 1
     108: q+1
     109: q+1
     110: q+1
     111: q^3+1
     112: q^2+q+1
     113: q^3+q+1
     114: q^2+q+1
     115: 2q^3+1
     116: q^2+q+1
     117: q^3+q+1
     118: q^2+q+1
     119: 2q^3+1
     120: q^2+q+1
     121: q^3+q+1
     122: q^2+q+1
     123: 2q^3+1
     124: q
     125: q^2+1
     127: q^3+1
     128: q
     129: 1
     131: 1
     132: q
     133: 1
     134: 1
     135: 1
     136: q
     137: q^2+1
     138: q
     139: q^3+1
     140: q
     141: q^2+1
     142: q^3
     143: q^3+1
     144: 1
     145: q+1
     146: q+1
     147: q+1
     148: 1
     149: q+1
     150: q^3+1
     151: q^2+q+1
     152: 1
     153: q^2+q+1
     154: 1
     155: q+1
     156: q^3+1
     157: 1
     158: q^2+q+1
     159: q^2+q+1
     160: q^3+1
     161: q+1
     162: q
     163: q^2+1
     164: q
     165: q^3+1
     166: q
     167: q^2+1
     168: q^3
     169: q^3+1
     170: 1
     171: 1
     172: 1
     173: 1
     174: q+1
     175: q+1
     176: q+1
     177: q^3+1
     178: q+1
     179: q+1
     180: q+1
     181: q^3+1
     182: q^2+q+1
     183: q^3+q+1
     184: q^2+q+1
     185: 2q^3+1
     186: q
     187: 1
     189: q^3+1
     190: q
     191: q^2+1
     192: q
     193: 1
     195: 1
     196: q
     197: q^2+1
     198: q
     199: q^2+1
     201: 1
     203: q^3+1
     204: q
     205: 1
     207: 1
     209: 1
     211: 1
     213: 1
     214: 1
     215: 1
     216: 1
     217: 1
     218: q+1
     219: 1
     220: q+1
     221: 1
     222: 1
     223: q+1
     224: q+1
     225: q+1
     226: 1
     227: 1
     228: q+1
     229: q+1
     230: q+1
     231: q+1
     232: q
     233: q^2+1
     234: q
     235: q^3+1
     236: q
     237: q^2+1
     238: q^3
     239: q^3+1
     240: q^3+1
     241: q^2+q+1
     242: q^2+q+1
     243: 1
     244: q^2+q+1
     245: q^3+q+1
     246: q^2+q+1
     247: 2q^3+1
     248: 1
     249: 1
     250: 1
     251: 1
     252: 1
     253: 1
     254: 1
     255: 1
     256: q+1
     257: q+1
     258: q+1
     259: q^3+1
     261: 1
     263: 1
     265: 1
     267: 1
     268: q
     269: 1
     271: 1
     272: q
     273: q^2+1
     274: q
     275: 1
     276: q
     277: q^2+1
     278: q
     279: 1
     280: q
     281: 1
     283: q^3+1
     284: q
     285: q^2+1
     287: 1
     296: 1
     297: 1
     298: 1
     299: q+1
     300: q^3+1
     301: q
     302: q^2+1
     303: q
     304: q^3+1
     305: q
     306: q^2+1
     307: q^3
     308: q^3+1
     309: 1
     310: 1
     311: 1
     312: 1
     313: q+1
     314: 1
     315: q+1
     316: q^2+q+1
     317: 1
     318: 1
     319: 1
     320: 1
     321: q+1
     322: 1
     323: q+1
     324: q^2+q+1
     326: 1
     328: 1
     330: 1
     332: 1
     333: 1
     334: 1
     335: q+1
     336: q+1
     337: q+1
     338: q+1
     339: q+1
     340: q+1
     341: q^3+1
     342: 1
     343: 1
     344: 1
     345: 1
     351: 1
     355: 1
     357: 1
     358: q
     359: 1
     361: q^3+1
     362: q
     363: 1
     365: 1
     367: 1
     368: q
     369: q^2+1
     370: q
     371: 1
     373: 1
     375: 1
     376: q
     377: q^2+1
     379: 1
     381: 1
     383: 1
     384: q
     385: 1
     386: q
     387: q^2+1
     388: q
     389: q^2+1
     390: 1
     391: 1
     392: 1
     393: 1
     395: 1
     397: 1
     399: 1
     401: 1
     402: q+1
     403: 1
     404: 1
     405: 1
     406: q+1
     407: q+1
     408: 1
     409: 1
     410: 1
     411: q+1
     412: q+1
     421: 1
     422: 1
     423: 1
     424: 1
     425: q+1
     426: 1
     427: q+1
     428: q+1
     429: q+1
     430: q+1
     431: q^3+1
     432: 1
     433: 1
     434: 1
     435: 1
     436: q
     440: q^2+1
     445: 1
     449: 1
     451: 1
     453: 1
     455: 1
     457: 1
     460: q
     461: 1
     463: 1
     465: 1
     467: 1
     470: q
     471: 1
     473: 1
     479: 1
     480: q
     481: 1
     483: 1
     485: 1
     486: q
     487: 1
     488: 1
     490: 1
     492: 1
     494: 1
     496: 1
     497: q+1
     498: 1
     507: 1
     508: 1
     509: q+1
     510: 1
     511: 1
     512: 1
     513: 1
     514: q+1
     515: q+1
     516: 1
     517: 1
     518: 1
     519: 1
     520: q+1
     521: 1
     522: 1
     523: 1
     524: q+1
     525: 1
     526: 1
     527: 1
     528: 1
     533: 1
     536: 1
     540: 1
     542: 1
     547: q
     548: 1
     550: 1
     552: 1
     556: 1
     558: 1
     562: 1
     564: 1
     568: 1
     570: 1
     575: q
     576: 1
     578: 1
     580: 1
     583: q
     584: 1
     586: 1
     595: 1
     596: 1
     597: 1
     598: 1
     599: 1
     600: q+1
     601: 1
     602: 1
     603: 1
     604: q+1
     605: 1
     606: 1
     607: 1
     608: 1
     609: 1
     610: q+1
     619: 1
     630: 1
     636: 1
     638: 1
     639: q
     640: 1
     646: 1
     648: 1
     656: 1
     658: 1
     662: 1
     664: 1
     668: 1
     670: 1
     671: q
     672: 1
     683: 1
     685: 1
     686: 1
     687: 1
     689: 1
     690: 1
     691: 1
     692: 1
     693: q+1
     694: 1
     699: 1
     714: 1
     718: 1
     722: 1
     730: 1
     740: 1
     744: 1
     746: 1
     748: 1
     749: q
     750: 1
     752: 1
     754: 1
     756: 1
     757: 1
     758: 1
     775: 1
     778: 1
     794: 1
     800: 1
     804: 1
     805: 1
     808: 1
     827: 1
     833: 1
     842: 1
     859: 1

860:   0: q^3+2q^2+2q+1
       1: q^2+2q+1
       2: q^3+2q^2+2q+1
       3: q^2+2q+1
       4: q^3+2q^2+2q+1
       5: q^2+2q+1
       6: q^5+2q+1
       7: q^2+2q+1
       8: q^3+2q^2+2q+1
       9: q^5+2q+1
      10: q^2+2q+1
      11: q^5+2q+1
      12: q^4+2q^3+2q^2+2q+1
      13: q^5+2q+1
      14: q^6+q^5+q+1
      15: q^2+2q+1
      16: q^5+2q+1
      17: q^2+2q+1
      18: q^5+2q+1
      19: q^2+2q+1
      20: 2q+1
      21: q^2+2q+1
      22: q^5+q+1
      23: q^3+2q^2+2q+1
      24: q^3+2q^2+2q+1
      25: q^5+2q+1
      26: q^5+2q+1
      27: q^2+2q+1
      28: 2q+1
      29: 2q+1
      30: q^3+2q^2+2q+1
      31: q^3+2q^2+2q+1
      32: q^2+2q+1
      33: q^3+2q^2+2q+1
      34: q^2+2q+1
      35: q^3+2q^2+2q+1
      36: q^2+2q+1
      37: q^3+2q^2+2q+1
      38: q^2+2q+1
      39: q^5+2q+1
      40: 2q+1
      41: 2q+1
      42: q^2+2q+1
      43: q^2+2q+1
      44: q^3+2q^2+2q+1
      45: q^2+2q+1
      46: q^2+2q+1
      47: q^3+2q^2+2q+1
      48: q^3+2q^2+2q+1
      50: q^2+2q+1
      52: q^3+2q^2+2q+1
      54: q^2+2q+1
      56: q^2+2q+1
      57: 2q+1
      58: q^2+2q+1
      59: q^5+q+1
      60: q^2+2q+1
      61: q^2+2q+1
      62: 2q+1
      63: q^5+q+1
      64: q^2+2q+1
      65: 2q+1
      66: q^3+2q^2+2q+1
      67: 2q+1
      68: q^2+2q+1
      69: 2q+1
      70: q^3+2q^2+2q+1
      71: 2q+1
      72: q^2+2q+1
      73: 2q+1
      74: q^3+2q^2+2q+1
      75: 2q+1
      76: q^2+2q+1
      78: q^2+2q+1
      80: q^3+2q^2+2q+1
      82: q+1
      83: 2q+1
      84: 2q+1
      85: 2q+1
      86: q^2+2q+1
      87: q^2+2q+1
      88: q^2+2q+1
      90: 2q+1
      92: q^3+2q^2+2q+1
      94: 2q+1
      96: q^2+2q+1
      97: q^2+2q+1
      98: 2q+1
      99: 2q+1
     100: q^2+2q+1
     101: q^2+2q+1
     102: 2q+1
     103: 2q+1
     104: q^2+2q+1
     105: q^2+2q+1
     106: 2q+1
     107: q^5+q+1
     108: 2q+1
     109: 2q+1
     110: q^2+2q+1
     111: q+1
     112: q^2+2q+1
     113: 2q+1
     114: q^3+2q^2+2q+1
     115: 2q+1
     116: q^2+2q+1
     117: 2q+1
     118: q^3+2q^2+2q+1
     119: 2q+1
     120: q^2+2q+1
     121: 2q+1
     122: q^3+2q^2+2q+1
     123: 2q+1
     124: q^2+2q+1
     126: 2q+1
     128: 2q+1
     130: q^2+2q+1
     132: q^2+2q+1
     134: q+1
     135: 2q+1
     136: q^2+2q+1
     138: 2q+1
     140: q^3+2q^2+2q+1
     142: 2q+1
     144: q+1
     145: 2q+1
     146: 2q+1
     147: 2q+1
     148: q^2+2q+1
     149: 2q+1
     150: 2q+1
     151: q^2+2q+1
     152: 2q+1
     153: q^2+2q+1
     154: q^2+2q+1
     155: 2q+1
     156: 2q+1
     157: 2q+1
     158: q^2+2q+1
     159: q^2+2q+1
     160: 2q+1
     161: 2q+1
     162: q^2+2q+1
     164: 2q+1
     166: q^3+2q^2+2q+1
     168: 2q+1
     170: 2q+1
     171: 2q+1
     172: q^2+2q+1
     173: q+1
     174: 2q+1
     175: 2q+1
     176: q^2+2q+1
     177: q+1
     178: 2q+1
     179: 2q+1
     180: q^2+2q+1
     181: q+1
     182: q^2+2q+1
     183: 2q+1
     184: q^3+2q^2+2q+1
     185: 2q+1
     186: 2q+1
     188: 2q+1
     190: q^2+2q+1
     192: 2q+1
     194: 2q+1
     196: q^2+2q+1
     198: q^2+2q+1
     200: q^2+2q+1
     202: 2q+1
     204: 2q+1
     206: 2q+1
     208: 2q+1
     210: q^2+2q+1
     212: q+1
     214: q+1
     215: q+1
     216: 2q+1
     217: 2q+1
     218: 2q+1
     219: 2q+1
     220: 2q+1
     221: 2q+1
     222: q+1
     223: 2q+1
     224: 2q+1
     225: 2q+1
     226: 2q+1
     227: q+1
     228: 2q+1
     229: 2q+1
     230: 2q+1
     231: 2q+1
     232: q^2+2q+1
     234: 2q+1
     236: q^3+2q^2+2q+1
     238: 2q+1
     240: 2q+1
     241: q^2+2q+1
     242: q^2+2q+1
     243: 2q+1
     244: q^2+2q+1
     245: q+1
     246: q^2+2q+1
     247: q+1
     248: 2q+1
     249: 2q+1
     250: q^2+2q+1
     251: q+1
     252: 2q+1
     253: 2q+1
     254: q^2+2q+1
     255: q+1
     256: 2q+1
     257: 2q+1
     258: q^2+2q+1
     259: q+1
     260: q+1
     262: 2q+1
     264: 2q+1
     266: 2q+1
     268: 2q+1
     270: 2q+1
     272: q^2+2q+1
     274: 2q+1
     276: q^2+2q+1
     278: 2q+1
     280: 2q+1
     282: 2q+1
     284: q^2+2q+1
     286: 2q+1
     288: 2q+1
     290: 2q+1
     292: q^2+2q+1
     294: q+1
     296: q+1
     297: 2q+1
     298: 2q+1
     299: q+1
     300: q+1
     301: q^2+2q+1
     303: q+1
     305: q^2+2q+1
     307: q+1
     309: q+1
     310: q+1
     311: 2q+1
     312: 2q+1
     313: 2q+1
     314: 2q+1
     315: 2q+1
     316: q^2+2q+1
     317: q+1
     318: q+1
     319: 2q+1
     320: 2q+1
     321: 2q+1
     322: 2q+1
     323: 2q+1
     324: q^2+2q+1
     325: 2q+1
     327: 2q+1
     329: q^2+2q+1
     331: q+1
     333: 2q+1
     334: q+1
     335: 2q+1
     336: 2q+1
     337: 2q+1
     338: q+1
     339: 1
     340: q+1
     341: 1
     342: 2q+1
     343: 2q+1
     344: q^2+2q+1
     345: q+1
     346: q+1
     348: 2q+1
     350: q+1
     352: 2q+1
     354: 2q+1
     356: 2q+1
     358: q+1
     360: q+1
     362: 2q+1
     364: 2q+1
     366: 2q+1
     368: q^2+2q+1
     370: 2q+1
     372: 2q+1
     374: 2q+1
     376: q^2+2q+1
     378: q+1
     380: 2q+1
     382: 2q+1
     384: 2q+1
     386: q^2+2q+1
     388: q^2+2q+1
     390: q+1
     391: q+1
     392: q+1
     393: 1
     394: q+1
     396: 1
     398: q+1
     400: 1
     402: 1
     403: q+1
     404: 2q+1
     405: 2q+1
     406: q+1
     407: q+1
     408: q+1
     409: 2q+1
     410: 2q+1
     411: q+1
     412: q+1
     413: 2q+1
     415: 2q+1
     417: q^2+2q+1
     419: q+1
     421: q+1
     422: q+1
     423: 2q+1
     424: 2q+1
     425: 2q+1
     426: 2q+1
     427: 2q+1
     428: q+1
     429: 1
     430: q+1
     431: 1
     432: q+1
     433: 1
     434: q+1
     435: 1
     436: q^2+2q+1
     442: q+1
     444: q+1
     446: 2q+1
     448: 1
     450: q+1
     452: 1
     454: 2q+1
     456: 2q+1
     458: 2q+1
     460: q+1
     462: q+1
     464: 2q+1
     466: 2q+1
     468: 2q+1
     470: q+1
     472: q+1
     474: q+1
     476: 2q+1
     478: q+1
     480: 2q+1
     482: 2q+1
     484: 2q+1
     486: q+1
     488: 1
     489: q+1
     491: 1
     493: q+1
     495: 1
     497: 1
     498: 1
     499: q+1
     501: 1
     503: q+1
     505: 1
     507: 1
     508: 1
     509: q+1
     510: q+1
     511: q+1
     512: q+1
     513: q+1
     514: 1
     515: q+1
     516: q+1
     517: q+1
     518: q+1
     519: q+1
     520: 1
     521: q+1
     522: 2q+1
     523: 2q+1
     524: q+1
     525: q+1
     526: 1
     527: q+1
     528: 1
     529: q+1
     535: 1
     537: q+1
     539: 1
     541: 1
     543: 1
     545: 1
     547: 1
     549: q+1
     551: q+1
     553: 2q+1
     555: 1
     557: q+1
     559: q+1
     561: q+1
     563: q+1
     565: 2q+1
     567: 1
     569: q+1
     571: q+1
     573: q+1
     575: q+1
     577: 2q+1
     579: 2q+1
     581: 2q+1
     583: q+1
     585: q+1
     587: q+1
     589: 1
     591: q+1
     593: 1
     595: 1
     596: 1
     597: 1
     598: 1
     599: q+1
     600: 1
     601: 1
     602: 1
     603: q+1
     604: 1
     605: 1
     606: 1
     607: q+1
     608: q+1
     609: q+1
     610: 1
     615: q+1
     621: q+1
     627: 1
     629: 1
     631: 1
     633: 1
     635: 1
     637: 2
     639: 1
     641: q+1
     643: q+1
     645: 1
     647: 1
     649: 1
     651: q+1
     653: q+1
     655: 1
     657: 1
     659: 1
     661: q+1
     663: q+1
     665: 2q+1
     667: 1
     669: q+1
     671: 1
     683: 1
     685: 1
     686: 1
     687: 1
     689: 1
     690: 1
     691: 1
     692: 1
     693: 1
     694: 1
     695: 1
     697: 1
     701: q+1
     711: 1
     713: 1
     715: 2
     717: 1
     721: 1
     723: 1
     725: 1
     729: 1
     731: 1
     733: 1
     737: q+1
     739: 1
     741: 1
     743: 1
     745: 1
     747: 2
     749: 1
     752: 1
     754: 1
     756: 1
     757: 1
     758: 1
     759: 1
     761: 1
     771: 1
     773: 1
     777: 1
     783: 1
     785: 1
     789: 1
     793: 1
     795: 1
     797: 1
     799: 1
     801: 2
     803: 1
     808: 1
     816: 1
     818: 1
     822: 1
     832: 1
     834: 1
     840: 1
     860: 1

861:   0: q^3+2q^2+2q+1
       1: q^2+2q+1
       2: q^3+2q^2+2q+1
       3: q^2+2q+1
       4: q^3+2q^2+2q+1
       5: q^2+2q+1
       6: q^5+2q+1
       7: q^2+2q+1
       8: q^3+2q^2+2q+1
       9: q^5+2q+1
      10: q^2+2q+1
      11: q^5+2q+1
      12: q^4+2q^3+2q^2+2q+1
      13: q^5+2q+1
      14: q^6+q^5+q+1
      15: q^2+2q+1
      16: q^5+2q+1
      17: q^2+2q+1
      18: q^5+2q+1
      19: q^2+2q+1
      20: 2q+1
      21: q^2+2q+1
      22: q^5+q+1
      23: q^3+2q^2+2q+1
      24: q^3+2q^2+2q+1
      25: q^5+2q+1
      26: q^5+2q+1
      27: q^2+2q+1
      28: 2q+1
      29: 2q+1
      30: q^3+2q^2+2q+1
      31: q^3+2q^2+2q+1
      32: q^2+2q+1
      33: q^3+2q^2+2q+1
      34: q^2+2q+1
      35: q^3+2q^2+2q+1
      36: q^2+2q+1
      37: q^3+2q^2+2q+1
      38: q^2+2q+1
      39: q^5+2q+1
      40: 2q+1
      41: 2q+1
      42: q^2+2q+1
      43: q^2+2q+1
      44: q^3+2q^2+2q+1
      45: q^2+2q+1
      46: q^2+2q+1
      47: q^3+2q^2+2q+1
      49: q^3+2q^2+2q+1
      51: q^2+2q+1
      53: q^3+2q^2+2q+1
      55: q^2+2q+1
      56: q^2+2q+1
      57: 2q+1
      58: q^2+2q+1
      59: q^5+q+1
      60: q^2+2q+1
      61: q^2+2q+1
      62: 2q+1
      63: q^5+q+1
      64: q^2+2q+1
      65: 2q+1
      66: q^3+2q^2+2q+1
      67: 2q+1
      68: q^2+2q+1
      69: 2q+1
      70: q^3+2q^2+2q+1
      71: 2q+1
      72: q^2+2q+1
      73: 2q+1
      74: q^3+2q^2+2q+1
      75: 2q+1
      77: q^2+2q+1
      79: q^2+2q+1
      81: q^3+2q^2+2q+1
      82: q+1
      83: 2q+1
      84: 2q+1
      85: 2q+1
      86: q^2+2q+1
      87: q^2+2q+1
      89: q^2+2q+1
      91: 2q+1
      93: q^3+2q^2+2q+1
      95: 2q+1
      96: q^2+2q+1
      97: q^2+2q+1
      98: 2q+1
      99: 2q+1
     100: q^2+2q+1
     101: q^2+2q+1
     102: 2q+1
     103: 2q+1
     104: q^2+2q+1
     105: q^2+2q+1
     106: 2q+1
     107: q^5+q+1
     108: 2q+1
     109: 2q+1
     110: q^2+2q+1
     111: q+1
     112: q^2+2q+1
     113: 2q+1
     114: q^3+2q^2+2q+1
     115: 2q+1
     116: q^2+2q+1
     117: 2q+1
     118: q^3+2q^2+2q+1
     119: 2q+1
     120: q^2+2q+1
     121: 2q+1
     122: q^3+2q^2+2q+1
     123: 2q+1
     125: q^2+2q+1
     127: 2q+1
     129: 2q+1
     131: q^2+2q+1
     133: q^2+2q+1
     134: q+1
     135: 2q+1
     137: q^2+2q+1
     139: 2q+1
     141: q^3+2q^2+2q+1
     143: 2q+1
     144: q+1
     145: 2q+1
     146: 2q+1
     147: 2q+1
     148: q^2+2q+1
     149: 2q+1
     150: 2q+1
     151: q^2+2q+1
     152: 2q+1
     153: q^2+2q+1
     154: q^2+2q+1
     155: 2q+1
     156: 2q+1
     157: 2q+1
     158: q^2+2q+1
     159: q^2+2q+1
     160: 2q+1
     161: 2q+1
     163: q^2+2q+1
     165: 2q+1
     167: q^3+2q^2+2q+1
     169: 2q+1
     170: 2q+1
     171: 2q+1
     172: q^2+2q+1
     173: q+1
     174: 2q+1
     175: 2q+1
     176: q^2+2q+1
     177: q+1
     178: 2q+1
     179: 2q+1
     180: q^2+2q+1
     181: q+1
     182: q^2+2q+1
     183: 2q+1
     184: q^3+2q^2+2q+1
     185: 2q+1
     187: 2q+1
     189: 2q+1
     191: q^2+2q+1
     193: 2q+1
     195: 2q+1
     197: q^2+2q+1
     199: q^2+2q+1
     201: q^2+2q+1
     203: 2q+1
     205: 2q+1
     207: 2q+1
     209: 2q+1
     211: q^2+2q+1
     213: q+1
     214: q+1
     215: q+1
     216: 2q+1
     217: 2q+1
     218: 2q+1
     219: 2q+1
     220: 2q+1
     221: 2q+1
     222: q+1
     223: 2q+1
     224: 2q+1
     225: 2q+1
     226: 2q+1
     227: q+1
     228: 2q+1
     229: 2q+1
     230: 2q+1
     231: 2q+1
     233: q^2+2q+1
     235: 2q+1
     237: q^3+2q^2+2q+1
     239: 2q+1
     240: 2q+1
     241: q^2+2q+1
     242: q^2+2q+1
     243: 2q+1
     244: q^2+2q+1
     245: q+1
     246: q^2+2q+1
     247: q+1
     248: 2q+1
     249: 2q+1
     250: q^2+2q+1
     251: q+1
     252: 2q+1
     253: 2q+1
     254: q^2+2q+1
     255: q+1
     256: 2q+1
     257: 2q+1
     258: q^2+2q+1
     259: q+1
     261: q+1
     263: 2q+1
     265: 2q+1
     267: 2q+1
     269: 2q+1
     271: 2q+1
     273: q^2+2q+1
     275: 2q+1
     277: q^2+2q+1
     279: 2q+1
     281: 2q+1
     283: 2q+1
     285: q^2+2q+1
     287: 2q+1
     289: 2q+1
     291: 2q+1
     293: q^2+2q+1
     295: q+1
     296: q+1
     297: 2q+1
     298: 2q+1
     299: q+1
     300: q+1
     302: q^2+2q+1
     304: q+1
     306: q^2+2q+1
     308: q+1
     309: q+1
     310: q+1
     311: 2q+1
     312: 2q+1
     313: 2q+1
     314: 2q+1
     315: 2q+1
     316: q^2+2q+1
     317: q+1
     318: q+1
     319: 2q+1
     320: 2q+1
     321: 2q+1
     322: 2q+1
     323: 2q+1
     324: q^2+2q+1
     326: 2q+1
     328: 2q+1
     330: q^2+2q+1
     332: q+1
     333: 2q+1
     334: q+1
     335: 2q+1
     336: 2q+1
     337: 2q+1
     338: q+1
     339: 1
     340: q+1
     341: 1
     342: 2q+1
     343: 2q+1
     344: q^2+2q+1
     345: q+1
     347: q+1
     349: 2q+1
     351: q+1
     353: 2q+1
     355: 2q+1
     357: 2q+1
     359: q+1
     361: q+1
     363: 2q+1
     365: 2q+1
     367: 2q+1
     369: q^2+2q+1
     371: 2q+1
     373: 2q+1
     375: 2q+1
     377: q^2+2q+1
     379: q+1
     381: 2q+1
     383: 2q+1
     385: 2q+1
     387: q^2+2q+1
     389: q^2+2q+1
     390: q+1
     391: q+1
     392: q+1
     393: 1
     395: q+1
     397: 1
     399: q+1
     401: 1
     402: 1
     403: q+1
     404: 2q+1
     405: 2q+1
     406: q+1
     407: q+1
     408: q+1
     409: 2q+1
     410: 2q+1
     411: q+1
     412: q+1
     414: 2q+1
     416: 2q+1
     418: q^2+2q+1
     420: q+1
     421: q+1
     422: q+1
     423: 2q+1
     424: 2q+1
     425: 2q+1
     426: 2q+1
     427: 2q+1
     428: q+1
     429: 1
     430: q+1
     431: 1
     432: q+1
     433: 1
     434: q+1
     435: 1
     440: q^2+2q+1
     443: q+1
     445: q+1
     447: 2q+1
     449: 1
     451: q+1
     453: 1
     455: 2q+1
     457: 2q+1
     459: 2q+1
     461: q+1
     463: q+1
     465: 2q+1
     467: 2q+1
     469: 2q+1
     471: q+1
     473: q+1
     475: q+1
     477: 2q+1
     479: q+1
     481: 2q+1
     483: 2q+1
     485: 2q+1
     487: q+1
     488: 1
     490: q+1
     492: 1
     494: q+1
     496: 1
     497: 1
     498: 1
     500: q+1
     502: 1
     504: q+1
     506: 1
     507: 1
     508: 1
     509: q+1
     510: q+1
     511: q+1
     512: q+1
     513: q+1
     514: 1
     515: q+1
     516: q+1
     517: q+1
     518: q+1
     519: q+1
     520: 1
     521: q+1
     522: 2q+1
     523: 2q+1
     524: q+1
     525: q+1
     526: 1
     527: q+1
     528: 1
     533: q+1
     536: 1
     538: q+1
     540: 1
     542: 1
     544: 1
     546: 1
     548: 1
     550: q+1
     552: q+1
     554: 2q+1
     556: 1
     558: q+1
     560: q+1
     562: q+1
     564: q+1
     566: 2q+1
     568: 1
     570: q+1
     572: q+1
     574: q+1
     576: q+1
     578: 2q+1
     580: 2q+1
     582: 2q+1
     584: q+1
     586: q+1
     588: q+1
     590: 1
     592: q+1
     594: 1
     595: 1
     596: 1
     597: 1
     598: 1
     599: q+1
     600: 1
     601: 1
     602: 1
     603: q+1
     604: 1
     605: 1
     606: 1
     607: q+1
     608: q+1
     609: q+1
     610: 1
     619: q+1
     625: q+1
     628: 1
     630: 1
     632: 1
     634: 1
     636: 1
     638: 2
     640: 1
     642: q+1
     644: q+1
     646: 1
     648: 1
     650: 1
     652: q+1
     654: q+1
     656: 1
     658: 1
     660: 1
     662: q+1
     664: q+1
     666: 2q+1
     668: 1
     670: q+1
     672: 1
     683: 1
     685: 1
     686: 1
     687: 1
     689: 1
     690: 1
     691: 1
     692: 1
     693: 1
     694: 1
     699: 1
     700: 1
     705: q+1
     712: 1
     714: 1
     716: 2
     718: 1
     722: 1
     724: 1
     726: 1
     730: 1
     732: 1
     734: 1
     738: q+1
     740: 1
     742: 1
     744: 1
     746: 1
     748: 2
     750: 1
     752: 1
     754: 1
     756: 1
     757: 1
     758: 1
     763: 1
     764: 1
     775: 1
     776: 1
     778: 1
     784: 1
     786: 1
     790: 1
     794: 1
     796: 1
     798: 1
     800: 1
     802: 2
     804: 1
     808: 1
     820: 1
     821: 1
     823: 1
     833: 1
     835: 1
     841: 1
     861: 1

862:   0: 4q^2+2q+1
       1: 4q^2+2q+1
       2: 4q^2+2q+1
       3: q^3+2q^2+2q+1
       4: 4q^2+2q+1
       5: q^4+q^3+2q^2+q+1
       6: q^3+2q^2+2q+1
       7: 4q^2+2q+1
       8: 4q^2+2q+1
       9: q^3+q^2+q+1
      10: q^4+q^3+2q^2+q+1
      11: q^3+2q^2+2q+1
      12: 2q^3+3q^2+2q+1
      13: q^3+q^2+q+1
      14: q^3+q^2+q+1
      15: 2q^2+q+1
      16: q^2+q+1
      17: 2q^2+q+1
      18: q^2+q+1
      19: 4q^2+2q+1
      20: q^3+2q^2+2q+1
      21: 4q^2+2q+1
      22: q^3+q^2+q+1
      23: 4q^2+2q+1
      24: 4q^2+2q+1
      25: q^3+2q^2+2q+1
      26: q^3+q^2+q+1
      27: 2q^2+2q+1
      28: 2q^2+2q+1
      29: q^3+q^2+q+1
      30: 3q^2+2q+1
      31: 4q^2+2q+1
      32: 4q^2+2q+1
      33: 4q^2+2q+1
      34: q^4+q^3+2q^2+q+1
      35: 4q^2+2q+1
      36: 4q^2+2q+1
      37: 4q^2+2q+1
      38: q^4+q^3+2q^2+q+1
      39: q^2+q+1
      40: q^2+q+1
      41: 2q^2+2q+1
      42: 2q^2+q+1
      43: 4q^2+2q+1
      44: 4q^2+2q+1
      45: 2q^2+q+1
      46: 4q^2+2q+1
      47: 4q^2+2q+1
      48: 2q^2+q+1
      49: 2q^2+q
      50: 2q^2+q+1
      51: 2q^2+q
      52: 2q^2+q+1
      53: 2q^2+q
      54: q^2+q+1
      55: q^4+q^3+q^2
      56: 2q^2+q+1
      57: q^2+q+1
      58: 2q^2+q+1
      59: q^2+q+1
      60: 4q^2+2q+1
      61: 4q^2+2q+1
      62: q^3+2q^2+2q+1
      63: q^3+q^2+q+1
      64: 2q^2+2q+1
      65: 2q^2+2q+1
      66: 3q^2+2q+1
      67: q^3+q^2+q+1
      68: 2q^2+2q+1
      69: 2q^2+2q+1
      70: 3q^2+2q+1
      71: q^3+q^2+q+1
      72: 2q^2+2q+1
      73: 2q^2+2q+1
      74: 3q^2+2q+1
      75: q^3+q^2+q+1
      76: q^2+q+1
      77: q^2
      78: 2q^2+q+1
      79: 2q^2+q
      80: 2q^2+q+1
      81: 2q^2+q
      82: q^2+q+1
      83: 2q^2+2q+1
      84: q^2+q+1
      85: q^2+q+1
      86: q^2+2q+1
      87: q^2+2q+1
      88: q+1
      89: q^2+q
      90: q+1
      91: q^2+q
      92: q^2+q+1
      93: q^2+q
      94: q+1
      95: q^3+q^2
      96: 2q^2+q+1
      97: 4q^2+2q+1
      98: q^2+q+1
      99: 2q^2+2q+1
     100: 2q^2+q+1
     101: 4q^2+2q+1
     102: q^2+q+1
     103: 2q^2+2q+1
     104: 2q^2+q+1
     105: 2q^2+q+1
     106: q^2+q+1
     107: q^2+q+1
     108: 2q^2+2q+1
     109: 2q^2+2q+1
     110: 3q^2+2q+1
     111: q^3+q^2+q+1
     112: 2q^2+2q+1
     113: 2q^2+2q+1
     114: 3q^2+2q+1
     115: q^3+q^2+q+1
     116: 2q^2+2q+1
     117: 2q^2+2q+1
     118: 3q^2+2q+1
     119: q^3+q^2+q+1
     120: 2q^2+2q+1
     121: 2q^2+2q+1
     122: 3q^2+2q+1
     123: q^3+q^2+q+1
     124: q+1
     125: q
     126: q+1
     127: q^2
     128: q+1
     129: q^2+q
     130: q^2+q+1
     131: q^2
     132: 2q^2+q+1
     133: 2q^2+q
     134: q^2+q+1
     135: q^2+q+1
     136: q+1
     137: q^2+q
     138: q+1
     139: q^2+q
     140: q^2+q+1
     141: q^2+q
     142: q+1
     143: q^3+q^2
     144: q^2+q+1
     145: 2q^2+2q+1
     146: q^2+2q+1
     147: q^2+2q+1
     148: 2q^2+q+1
     149: 2q^2+2q+1
     150: q^2+q+1
     151: q^2+2q+1
     152: q^2+q+1
     153: q^2+2q+1
     154: 2q^2+q+1
     155: 2q^2+2q+1
     156: q^2+q+1
     157: q^2+q+1
     158: q^2+2q+1
     159: q^2+2q+1
     160: q^2+q+1
     161: 2q^2+2q+1
     162: q+1
     163: q^2+q
     164: q+1
     165: q^2+q
     166: q^2+q+1
     167: q^2+q
     168: q+1
     169: q^3+q^2
     170: q+1
     171: q+1
     172: q^2+q+1
     173: q+1
     174: 2q^2+2q+1
     175: 2q^2+2q+1
     176: 3q^2+2q+1
     177: q^3+q^2+q+1
     178: 2q^2+2q+1
     179: 2q^2+2q+1
     180: 3q^2+2q+1
     181: q^3+q^2+q+1
     182: 2q^2+2q+1
     183: 2q^2+2q+1
     184: 3q^2+2q+1
     185: q^3+q^2+q+1
     186: q+1
     187: q^2+q
     188: q+1
     189: q^2
     190: q+1
     191: q
     192: q+1
     193: q
     194: q+1
     195: q^2
     196: q+1
     197: q
     198: q+1
     199: q
     200: q^2+q+1
     201: q^2
     202: q+1
     203: q^2
     204: q+1
     205: q^2+q
     206: q+1
     207: q^2+q
     208: q+1
     209: q^2+q
     210: q^2+q+1
     211: q^2+q
     212: q+1
     213: q^3+q^2
     214: q^2+q+1
     215: q+1
     216: q+1
     217: q+1
     218: q^2+2q+1
     219: q+1
     220: q^2+2q+1
     221: q^2+q+1
     222: q^2+q+1
     223: 2q^2+2q+1
     224: q^2+2q+1
     225: q^2+2q+1
     226: q^2+q+1
     227: q^2+q+1
     228: 2q^2+2q+1
     229: q^2+2q+1
     230: q^2+2q+1
     231: 2q^2+2q+1
     232: q+1
     233: q^2+q
     234: q+1
     235: q^2+q
     236: q^2+q+1
     237: q^2+q
     238: q+1
     239: q^3+q^2
     240: q^2+q+1
     241: q^2+2q+1
     242: q^2+2q+1
     243: q^2+q+1
     244: 3q+1
     245: q^2+q+1
     246: 3q+1
     247: q^2+1
     248: q+1
     249: q+1
     250: q^2+q+1
     251: q+1
     252: q+1
     253: q+1
     254: q^2+q+1
     255: q+1
     256: 2q^2+2q+1
     257: 2q^2+2q+1
     258: 3q^2+2q+1
     259: q^3+q^2+q+1
     260: q+1
     261: q^2
     262: q+1
     263: q^2+q
     264: q+1
     265: q^2
     266: q+1
     267: q
     268: q+1
     269: q
     270: q+1
     272: q+1
     273: q
     274: q+1
     275: q
     276: q+1
     277: q
     278: q+1
     279: q
     280: q+1
     281: q^2+q
     282: q+1
     283: q^2
     284: q+1
     285: q
     286: q+1
     287: q^2
     296: q+1
     297: q+1
     298: q+1
     299: q+1
     300: q^2+1
     301: q+1
     302: 2q
     303: 1
     304: q^2+q
     305: q+1
     306: 2q
     307: 1
     308: q^2
     309: q^2+q+1
     310: q+1
     311: q+1
     312: q+1
     313: q^2+2q+1
     314: q+1
     315: q^2+2q+1
     316: 3q+1
     317: q^2+q+1
     318: q+1
     319: q+1
     320: q+1
     321: q^2+2q+1
     322: q+1
     323: q^2+2q+1
     324: 3q+1
     325: q+1
     326: q^2+q
     327: q+1
     328: q^2+q
     329: q^2+q+1
     330: q^2+q
     331: q+1
     332: q^3+q^2
     333: q^2+q+1
     334: q^2+q+1
     335: 2q^2+2q+1
     336: q^2+2q+1
     337: q^2+2q+1
     338: 3q+1
     339: q^2+q+1
     340: 3q+1
     341: q^2+1
     342: q+1
     343: q+1
     344: q^2+q+1
     345: q+1
     350: q+1
     351: q^2
     354: q+1
     355: q
     356: q+1
     358: 1
     359: q
     360: 1
     361: q^2
     362: q+1
     363: q
     364: q+1
     365: q
     366: q+1
     368: q+1
     369: 2q
     370: q+1
     371: q
     372: q+1
     373: q
     374: q+1
     376: q+1
     377: 2q
     378: q+1
     379: q^2
     380: q+1
     381: q^2+q
     382: q+1
     383: q^2
     384: q+1
     385: q
     386: q+1
     387: q
     388: 2q+1
     389: q
     390: q+1
     391: q+1
     392: 1
     393: q^2+1
     394: q+1
     395: 2q
     396: 1
     397: q^2+q
     398: q+1
     399: 2q
     400: 1
     401: q^2
     402: q+1
     403: q+1
     404: q+1
     405: q+1
     406: q+1
     407: 3q+1
     408: q+1
     409: q+1
     410: q+1
     411: q+1
     412: 3q+1
     421: q^2+q+1
     422: q+1
     423: q+1
     424: q+1
     425: q^2+2q+1
     426: q+1
     427: q^2+2q+1
     428: 3q+1
     429: q^2+q+1
     430: 3q+1
     431: q^2+1
     432: q+1
     433: 1
     434: q+1
     435: 1
     436: q+1
     437: q
     440: q
     444: q+1
     448: 1
     449: q
     450: 1
     452: 1
     453: q^2
     454: q+1
     455: q
     456: q+1
     460: 1
     461: q
     462: q+1
     463: 2q
     464: q+1
     465: q
     466: q+1
     470: 1
     471: q
     472: q+1
     473: 2q
     478: q+1
     479: q^2
     480: q+1
     481: q
     482: q+1
     483: q
     484: q+1
     486: 2q+1
     487: q
     488: q^2+1
     489: q+1
     490: 2q
     491: 1
     492: q^2+q
     493: q+1
     494: 2q
     495: 1
     496: q^2
     497: q+1
     498: 1
     507: 1
     508: 1
     509: 3q+1
     510: q+1
     511: q+1
     512: 1
     513: q+1
     514: q+1
     515: 3q+1
     516: q+1
     517: q+1
     518: 1
     519: q+1
     520: q+1
     521: q+1
     522: q+1
     523: q+1
     524: q+1
     525: q+1
     526: 1
     527: q+1
     528: 1
     529: q+1
     530: q
     533: q
     535: 1
     536: q^2
     539: 1
     540: q
     541: 1
     547: 1
     549: q+1
     550: 2q
     551: q+1
     555: 1
     556: q
     557: 1
     561: q+1
     562: 2q
     563: q+1
     567: 1
     568: q
     569: 1
     575: 2q+1
     576: q
     577: q+1
     578: q
     579: q+1
     583: 1
     584: q
     585: q+1
     595: 1
     596: 1
     597: 1
     598: 1
     599: q+1
     600: q+1
     601: 1
     602: 1
     603: q+1
     604: q+1
     605: 1
     606: 1
     607: q+1
     608: q+1
     609: 1
     610: q+1
     611: q+1
     612: 1
     613: q+1
     614: 1
     615: q+1
     616: q
     619: q
     629: 1
     635: 1
     637: 1
     639: 1
     645: 1
     646: q
     647: 1
     655: 1
     656: q
     657: 1
     661: q+1
     663: q+1
     667: 1
     668: q
     669: 1
     671: 1
     681: 1
     682: 1
     683: 1
     684: q+1
     685: 1
     686: 1
     687: 1
     688: q+1
     689: 1
     690: 1
     691: 1
     692: 1
     693: q+1
     694: 1
     695: 1
     713: 1
     717: 1
     721: 1
     729: 1
     735: q+1
     739: 1
     743: 1
     744: q
     745: 1
     747: 1
     749: 1
     751: 1
     752: 1
     753: 1
     754: 1
     755: 1
     756: 1
     757: 1
     758: 1
     771: 1
     777: 1
     781: 1
     793: 1
     799: 1
     803: 1
     806: 1
     807: 1
     808: 1
     809: 1
     824: 1
     832: 1
     838: 1
     843: 1
     862: 1

863:   0: 4q^2+2q+1
       1: 4q^2+2q+1
       2: 4q^2+2q+1
       3: q^3+2q^2+2q+1
       4: 4q^2+2q+1
       5: q^4+q^3+2q^2+q+1
       6: q^3+2q^2+2q+1
       7: 4q^2+2q+1
       8: 4q^2+2q+1
       9: q^3+q^2+q+1
      10: q^4+q^3+2q^2+q+1
      11: q^3+2q^2+2q+1
      12: 2q^3+3q^2+2q+1
      13: q^3+q^2+q+1
      14: q^3+q^2+q+1
      15: 2q^2+q+1
      16: q^2+q+1
      17: 2q^2+q+1
      18: q^2+q+1
      19: 4q^2+2q+1
      20: q^3+2q^2+2q+1
      21: 4q^2+2q+1
      22: q^3+q^2+q+1
      23: 4q^2+2q+1
      24: 4q^2+2q+1
      25: q^3+2q^2+2q+1
      26: q^3+q^2+q+1
      27: 2q^2+2q+1
      28: 2q^2+2q+1
      29: q^3+q^2+q+1
      30: 3q^2+2q+1
      31: 4q^2+2q+1
      32: 4q^2+2q+1
      33: 4q^2+2q+1
      34: q^4+q^3+2q^2+q+1
      35: 4q^2+2q+1
      36: 4q^2+2q+1
      37: 4q^2+2q+1
      38: q^4+q^3+2q^2+q+1
      39: q^2+q+1
      40: q^2+q+1
      41: 2q^2+2q+1
      42: 2q^2+q+1
      43: 4q^2+2q+1
      44: 4q^2+2q+1
      45: 2q^2+q+1
      46: 4q^2+2q+1
      47: 4q^2+2q+1
      48: 2q^2+q
      49: 2q^2+q+1
      50: 2q^2+q
      51: 2q^2+q+1
      52: 2q^2+q
      53: 2q^2+q+1
      54: q^4+q^3+q^2
      55: q^2+q+1
      56: 2q^2+q+1
      57: q^2+q+1
      58: 2q^2+q+1
      59: q^2+q+1
      60: 4q^2+2q+1
      61: 4q^2+2q+1
      62: q^3+2q^2+2q+1
      63: q^3+q^2+q+1
      64: 2q^2+2q+1
      65: 2q^2+2q+1
      66: 3q^2+2q+1
      67: q^3+q^2+q+1
      68: 2q^2+2q+1
      69: 2q^2+2q+1
      70: 3q^2+2q+1
      71: q^3+q^2+q+1
      72: 2q^2+2q+1
      73: 2q^2+2q+1
      74: 3q^2+2q+1
      75: q^3+q^2+q+1
      76: q^2
      77: q^2+q+1
      78: 2q^2+q
      79: 2q^2+q+1
      80: 2q^2+q
      81: 2q^2+q+1
      82: q^2+q+1
      83: 2q^2+2q+1
      84: q^2+q+1
      85: q^2+q+1
      86: q^2+2q+1
      87: q^2+2q+1
      88: q^2+q
      89: q+1
      90: q^2+q
      91: q+1
      92: q^2+q
      93: q^2+q+1
      94: q^3+q^2
      95: q+1
      96: 2q^2+q+1
      97: 4q^2+2q+1
      98: q^2+q+1
      99: 2q^2+2q+1
     100: 2q^2+q+1
     101: 4q^2+2q+1
     102: q^2+q+1
     103: 2q^2+2q+1
     104: 2q^2+q+1
     105: 2q^2+q+1
     106: q^2+q+1
     107: q^2+q+1
     108: 2q^2+2q+1
     109: 2q^2+2q+1
     110: 3q^2+2q+1
     111: q^3+q^2+q+1
     112: 2q^2+2q+1
     113: 2q^2+2q+1
     114: 3q^2+2q+1
     115: q^3+q^2+q+1
     116: 2q^2+2q+1
     117: 2q^2+2q+1
     118: 3q^2+2q+1
     119: q^3+q^2+q+1
     120: 2q^2+2q+1
     121: 2q^2+2q+1
     122: 3q^2+2q+1
     123: q^3+q^2+q+1
     124: q
     125: q+1
     126: q^2
     127: q+1
     128: q^2+q
     129: q+1
     130: q^2
     131: q^2+q+1
     132: 2q^2+q
     133: 2q^2+q+1
     134: q^2+q+1
     135: q^2+q+1
     136: q^2+q
     137: q+1
     138: q^2+q
     139: q+1
     140: q^2+q
     141: q^2+q+1
     142: q^3+q^2
     143: q+1
     144: q^2+q+1
     145: 2q^2+2q+1
     146: q^2+2q+1
     147: q^2+2q+1
     148: 2q^2+q+1
     149: 2q^2+2q+1
     150: q^2+q+1
     151: q^2+2q+1
     152: q^2+q+1
     153: q^2+2q+1
     154: 2q^2+q+1
     155: 2q^2+2q+1
     156: q^2+q+1
     157: q^2+q+1
     158: q^2+2q+1
     159: q^2+2q+1
     160: q^2+q+1
     161: 2q^2+2q+1
     162: q^2+q
     163: q+1
     164: q^2+q
     165: q+1
     166: q^2+q
     167: q^2+q+1
     168: q^3+q^2
     169: q+1
     170: q+1
     171: q+1
     172: q^2+q+1
     173: q+1
     174: 2q^2+2q+1
     175: 2q^2+2q+1
     176: 3q^2+2q+1
     177: q^3+q^2+q+1
     178: 2q^2+2q+1
     179: 2q^2+2q+1
     180: 3q^2+2q+1
     181: q^3+q^2+q+1
     182: 2q^2+2q+1
     183: 2q^2+2q+1
     184: 3q^2+2q+1
     185: q^3+q^2+q+1
     186: q^2+q
     187: q+1
     188: q^2
     189: q+1
     190: q
     191: q+1
     192: q
     193: q+1
     194: q^2
     195: q+1
     196: q
     197: q+1
     198: q
     199: q+1
     200: q^2
     201: q^2+q+1
     202: q^2
     203: q+1
     204: q^2+q
     205: q+1
     206: q^2+q
     207: q+1
     208: q^2+q
     209: q+1
     210: q^2+q
     211: q^2+q+1
     212: q^3+q^2
     213: q+1
     214: q^2+q+1
     215: q+1
     216: q+1
     217: q+1
     218: q^2+2q+1
     219: q+1
     220: q^2+2q+1
     221: q^2+q+1
     222: q^2+q+1
     223: 2q^2+2q+1
     224: q^2+2q+1
     225: q^2+2q+1
     226: q^2+q+1
     227: q^2+q+1
     228: 2q^2+2q+1
     229: q^2+2q+1
     230: q^2+2q+1
     231: 2q^2+2q+1
     232: q^2+q
     233: q+1
     234: q^2+q
     235: q+1
     236: q^2+q
     237: q^2+q+1
     238: q^3+q^2
     239: q+1
     240: q^2+q+1
     241: q^2+2q+1
     242: q^2+2q+1
     243: q^2+q+1
     244: 3q+1
     245: q^2+q+1
     246: 3q+1
     247: q^2+1
     248: q+1
     249: q+1
     250: q^2+q+1
     251: q+1
     252: q+1
     253: q+1
     254: q^2+q+1
     255: q+1
     256: 2q^2+2q+1
     257: 2q^2+2q+1
     258: 3q^2+2q+1
     259: q^3+q^2+q+1
     260: q^2
     261: q+1
     262: q^2+q
     263: q+1
     264: q^2
     265: q+1
     266: q
     267: q+1
     268: q
     269: q+1
     271: q+1
     272: q
     273: q+1
     274: q
     275: q+1
     276: q
     277: q+1
     278: q
     279: q+1
     280: q^2+q
     281: q+1
     282: q^2
     283: q+1
     284: q
     285: q+1
     286: q^2
     287: q+1
     296: q+1
     297: q+1
     298: q+1
     299: q+1
     300: q^2+1
     301: 2q
     302: q+1
     303: q^2+q
     304: 1
     305: 2q
     306: q+1
     307: q^2
     308: 1
     309: q^2+q+1
     310: q+1
     311: q+1
     312: q+1
     313: q^2+2q+1
     314: q+1
     315: q^2+2q+1
     316: 3q+1
     317: q^2+q+1
     318: q+1
     319: q+1
     320: q+1
     321: q^2+2q+1
     322: q+1
     323: q^2+2q+1
     324: 3q+1
     325: q^2+q
     326: q+1
     327: q^2+q
     328: q+1
     329: q^2+q
     330: q^2+q+1
     331: q^3+q^2
     332: q+1
     333: q^2+q+1
     334: q^2+q+1
     335: 2q^2+2q+1
     336: q^2+2q+1
     337: q^2+2q+1
     338: 3q+1
     339: q^2+q+1
     340: 3q+1
     341: q^2+1
     342: q+1
     343: q+1
     344: q^2+q+1
     345: q+1
     350: q^2
     351: q+1
     354: q
     355: q+1
     357: q+1
     358: q
     359: 1
     360: q^2
     361: 1
     362: q
     363: q+1
     364: q
     365: q+1
     367: q+1
     368: 2q
     369: q+1
     370: q
     371: q+1
     372: q
     373: q+1
     375: q+1
     376: 2q
     377: q+1
     378: q^2
     379: q+1
     380: q^2+q
     381: q+1
     382: q^2
     383: q+1
     384: q
     385: q+1
     386: q
     387: q+1
     388: q
     389: 2q+1
     390: q+1
     391: q+1
     392: 1
     393: q^2+1
     394: 2q
     395: q+1
     396: q^2+q
     397: 1
     398: 2q
     399: q+1
     400: q^2
     401: 1
     402: q+1
     403: q+1
     404: q+1
     405: q+1
     406: q+1
     407: 3q+1
     408: q+1
     409: q+1
     410: q+1
     411: q+1
     412: 3q+1
     421: q^2+q+1
     422: q+1
     423: q+1
     424: q+1
     425: q^2+2q+1
     426: q+1
     427: q^2+2q+1
     428: 3q+1
     429: q^2+q+1
     430: 3q+1
     431: q^2+1
     432: q+1
     433: 1
     434: q+1
     435: 1
     436: q
     439: q
     440: q+1
     445: q+1
     448: q
     449: 1
     451: 1
     452: q^2
     453: 1
     454: q
     455: q+1
     457: q+1
     460: q
     461: 1
     462: 2q
     463: q+1
     464: q
     465: q+1
     467: q+1
     470: q
     471: 1
     472: 2q
     473: q+1
     478: q^2
     479: q+1
     480: q
     481: q+1
     482: q
     483: q+1
     485: q+1
     486: q
     487: 2q+1
     488: q^2+1
     489: 2q
     490: q+1
     491: q^2+q
     492: 1
     493: 2q
     494: q+1
     495: q^2
     496: 1
     497: q+1
     498: 1
     507: 1
     508: 1
     509: 3q+1
     510: q+1
     511: q+1
     512: 1
     513: q+1
     514: q+1
     515: 3q+1
     516: q+1
     517: q+1
     518: 1
     519: q+1
     520: q+1
     521: q+1
     522: q+1
     523: q+1
     524: q+1
     525: q+1
     526: 1
     527: q+1
     528: 1
     529: q
     532: q
     533: q+1
     535: q^2
     536: 1
     539: q
     540: 1
     542: 1
     548: 1
     549: 2q
     550: q+1
     552: q+1
     555: q
     556: 1
     558: 1
     561: 2q
     562: q+1
     564: q+1
     567: q
     568: 1
     570: 1
     575: q
     576: 2q+1
     577: q
     578: q+1
     580: q+1
     583: q
     584: 1
     586: q+1
     595: 1
     596: 1
     597: 1
     598: 1
     599: q+1
     600: q+1
     601: 1
     602: 1
     603: q+1
     604: q+1
     605: 1
     606: 1
     607: q+1
     608: q+1
     609: 1
     610: q+1
     611: q+1
     612: 1
     613: q+1
     614: 1
     615: q
     618: q
     619: q+1
     630: 1
     636: 1
     638: 1
     640: 1
     645: q
     646: 1
     648: 1
     655: q
     656: 1
     658: 1
     662: q+1
     664: q+1
     667: q
     668: 1
     670: 1
     672: 1
     681: 1
     682: 1
     683: 1
     684: q+1
     685: 1
     686: 1
     687: 1
     688: q+1
     689: 1
     690: 1
     691: 1
     692: 1
     693: q+1
     694: 1
     699: 1
     714: 1
     718: 1
     722: 1
     730: 1
     736: q+1
     740: 1
     743: q
     744: 1
     746: 1
     748: 1
     750: 1
     751: 1
     752: 1
     753: 1
     754: 1
     755: 1
     756: 1
     757: 1
     758: 1
     775: 1
     778: 1
     782: 1
     794: 1
     800: 1
     804: 1
     806: 1
     807: 1
     808: 1
     809: 1
     825: 1
     833: 1
     839: 1
     843: 1
     863: 1

864:   0: 3q+1
       1: 3q+1
       2: 3q+1
       3: q^2+2q+1
       4: 3q+1
       5: 3q+1
       6: q^2+2q+1
       7: 3q+1
       8: 3q+1
       9: q^2+2q+1
      10: 3q+1
      11: q^2+2q+1
      12: q^2+2q+1
      13: q^2+2q+1
      14: q^2+2q+1
      15: 3q+1
      16: q^2+2q+1
      17: 3q+1
      18: q^2+2q+1
      19: 3q+1
      20: q^2+2q+1
      21: 3q+1
      22: q^2+2q+1
      23: 3q+1
      24: 3q+1
      25: q^2+2q+1
      26: q^2+2q+1
      27: 2q+1
      28: 2q+1
      29: 2q+1
      30: 2q+1
      31: 3q+1
      32: 3q+1
      33: 3q+1
      34: 3q+1
      35: 3q+1
      36: 3q+1
      37: 3q+1
      38: 3q+1
      39: q^2+2q+1
      40: 2q+1
      41: 2q+1
      42: 3q+1
      43: 3q+1
      44: 3q+1
      45: 3q+1
      46: 3q+1
      47: 3q+1
      48: 2q+1
      49: q
      50: 2q+1
      51: q
      52: 2q+1
      53: q
      54: 2q+1
      55: q
      56: 3q+1
      57: q^2+2q+1
      58: 3q+1
      59: q^2+2q+1
      60: 3q+1
      61: 3q+1
      62: q^2+2q+1
      63: q^2+2q+1
      64: 2q+1
      65: 2q+1
      66: 2q+1
      67: 2q+1
      68: 2q+1
      69: 2q+1
      70: 2q+1
      71: 2q+1
      72: 2q+1
      73: 2q+1
      74: 2q+1
      75: 2q+1
      76: 2q+1
      77: q
      78: 2q+1
      79: q
      80: 2q+1
      81: q
      82: q^2+2q+1
      83: 2q+1
      84: 2q+1
      85: 2q+1
      86: q+1
      87: q+1
      88: q+1
      90: q+1
      92: q+1
      94: q+1
      96: 3q+1
      97: 3q+1
      98: 2q+1
      99: 2q+1
     100: 3q+1
     101: 3q+1
     102: 2q+1
     103: 2q+1
     104: 3q+1
     105: 3q+1
     106: q^2+2q+1
     107: q^2+2q+1
     108: 2q+1
     109: 2q+1
     110: 2q+1
     111: 2q+1
     112: 2q+1
     113: 2q+1
     114: 2q+1
     115: 2q+1
     116: 2q+1
     117: 2q+1
     118: 2q+1
     119: 2q+1
     120: 2q+1
     121: 2q+1
     122: 2q+1
     123: 2q+1
     124: 1
     126: q+1
     128: q+1
     130: 2q+1
     131: q
     132: 2q+1
     133: q
     134: q^2+2q+1
     135: 2q+1
     136: q+1
     138: q+1
     140: q+1
     142: q+1
     144: 2q+1
     145: 2q+1
     146: q+1
     147: q+1
     148: 3q+1
     149: 2q+1
     150: 2q+1
     151: q+1
     152: 2q+1
     153: q+1
     154: 3q+1
     155: 2q+1
     156: 2q+1
     157: 2q+1
     158: q+1
     159: q+1
     160: 2q+1
     161: 2q+1
     162: q+1
     164: q+1
     166: q+1
     168: q+1
     170: 2q+1
     171: 2q+1
     172: 2q+1
     173: 2q+1
     174: 2q+1
     175: 2q+1
     176: 2q+1
     177: 2q+1
     178: 2q+1
     179: 2q+1
     180: 2q+1
     181: 2q+1
     182: 2q+1
     183: 2q+1
     184: 2q+1
     185: 2q+1
     186: q+1
     188: q+1
     190: 1
     192: 1
     194: q+1
     196: 1
     198: 1
     200: 2q+1
     201: q
     202: q+1
     204: q+1
     206: q+1
     208: q+1
     210: q+1
     212: q+1
     214: 2q+1
     215: 2q+1
     216: 2q+1
     217: q+1
     218: q+1
     219: q+1
     220: q+1
     221: 2q+1
     222: 2q+1
     223: 2q+1
     224: q+1
     225: q+1
     226: 2q+1
     227: 2q+1
     228: 2q+1
     229: q+1
     230: q+1
     231: 2q+1
     232: q+1
     234: q+1
     236: q+1
     238: q+1
     240: 2q+1
     241: q+1
     242: q+1
     243: 2q+1
     244: 2
     245: q+1
     246: 2
     247: q+1
     248: 2q+1
     249: 2q+1
     250: 2q+1
     251: 2q+1
     252: 2q+1
     253: 2q+1
     254: 2q+1
     255: 2q+1
     256: 2q+1
     257: 2q+1
     258: 2q+1
     259: 2q+1
     260: q+1
     262: q+1
     264: q+1
     266: 1
     268: 1
     270: 1
     272: 1
     274: 1
     276: 1
     278: 1
     280: q+1
     282: q+1
     284: 1
     286: q+1
     288: q+1
     290: q+1
     292: q+1
     294: q+1
     296: 2q+1
     297: q+1
     298: q+1
     299: 1
     300: q+1
     301: 2
     303: q+1
     305: 2
     307: q+1
     309: 2q+1
     310: 2q+1
     311: 2q+1
     312: q+1
     313: q+1
     314: q+1
     315: q+1
     316: 2
     317: 2q+1
     318: 2q+1
     319: 2q+1
     320: q+1
     321: q+1
     322: q+1
     323: q+1
     324: 2
     325: q+1
     327: q+1
     329: q+1
     331: q+1
     333: 2q+1
     334: 2q+1
     335: 2q+1
     336: q+1
     337: q+1
     338: 2
     339: q+1
     340: 2
     341: q+1
     342: 2q+1
     343: 2q+1
     344: 2q+1
     345: 2q+1
     346: q+1
     348: q+1
     350: q+1
     352: 1
     354: 1
     356: 1
     358: 1
     360: q+1
     362: 1
     364: 1
     366: 1
     368: 2
     370: 1
     372: 1
     374: 1
     376: 2
     378: q+1
     380: q+1
     382: q+1
     384: 1
     386: 1
     388: 1
     389: 1
     390: q+1
     391: q+1
     392: 1
     393: q+1
     394: 2
     396: q+1
     398: 2
     400: q+1
     402: 1
     403: 2q+1
     404: q+1
     405: q+1
     406: 1
     407: 2
     408: 2q+1
     409: q+1
     410: q+1
     411: 1
     412: 2
     413: q+1
     415: q+1
     417: q+1
     419: q+1
     421: 2q+1
     422: 2q+1
     423: 2q+1
     424: q+1
     425: q+1
     426: q+1
     427: q+1
     428: 2
     429: q+1
     430: 2
     431: q+1
     432: 2
     433: q+1
     434: 2
     435: q+1
     436: 1
     439: 1
     442: q+1
     444: 1
     446: 1
     448: 1
     450: 1
     452: q+1
     454: 1
     456: 1
     458: 1
     460: 1
     462: 2
     464: 1
     466: 1
     468: 1
     470: 1
     472: 2
     474: q+1
     476: q+1
     478: q+1
     480: 1
     482: 1
     484: 1
     486: 1
     487: 1
     488: q+1
     489: 2
     491: q+1
     493: 2
     495: q+1
     497: 1
     498: 1
     499: 2
     501: q+1
     503: 2
     505: q+1
     507: q+1
     508: 1
     509: 2
     510: q+1
     511: q+1
     512: 1
     513: 2
     514: 1
     515: 2
     516: q+1
     517: q+1
     518: 1
     519: 2
     520: 1
     521: 2q+1
     522: q+1
     523: q+1
     524: 1
     525: 2
     526: q+1
     527: 2
     528: q+1
     529: 1
     532: 1
     535: q+1
     537: 1
     539: 1
     541: 1
     543: 1
     545: q+1
     549: 2
     551: 1
     553: 1
     555: 1
     557: 1
     559: 2
     561: 2
     563: 1
     565: 1
     567: 1
     569: 1
     571: 2
     573: q+1
     575: 1
     576: 1
     577: 1
     579: 1
     581: 1
     583: 1
     585: 1
     586: 1
     587: 2
     589: q+1
     591: 2
     593: q+1
     595: q+1
     596: 1
     597: 1
     598: 1
     599: 2
     600: 1
     601: 1
     602: 1
     603: 2
     604: 1
     605: 1
     606: 1
     607: q+1
     608: q+1
     609: 1
     610: 1
     611: 2
     612: q+1
     613: 2
     614: q+1
     615: 1
     618: 1
     621: 1
     624: 1
     627: q+1
     629: 1
     631: 1
     633: 1
     641: 2
     643: 1
     645: 1
     647: 1
     649: 1
     651: 2
     653: 1
     655: 1
     657: 1
     659: 1
     661: 1
     662: 1
     663: 1
     665: 1
     667: 1
     669: 1
     673: 2
     675: q+1
     677: 2
     679: q+1
     681: q+1
     682: 1
     683: 1
     684: 2
     685: 1
     686: 1
     687: 1
     688: 2
     689: 1
     690: 1
     691: 1
     692: 1
     693: 1
     694: 1
     701: 1
     704: 1
     707: q+1
     709: 1
     711: 1
     719: 2
     721: 1
     723: 1
     725: 1
     727: 2
     729: 1
     731: 1
     733: 1
     735: 1
     736: 1
     737: 1
     739: 1
     741: 1
     743: 1
     751: 1
     752: 1
     753: 1
     754: 1
     755: 1
     756: 1
     757: 1
     758: 1
     765: 1
     768: 1
     779: 1
     785: 1
     787: 1
     789: 1
     791: 1
     793: 1
     795: 1
     797: 1
     806: 1
     807: 1
     808: 1
     809: 1
     828: 1
     830: 1
     834: 1
     836: 1
     843: 1
     864: 1

865:   0: 3q+1
       1: 3q+1
       2: 3q+1
       3: q^2+2q+1
       4: 3q+1
       5: 3q+1
       6: q^2+2q+1
       7: 3q+1
       8: 3q+1
       9: q^2+2q+1
      10: 3q+1
      11: q^2+2q+1
      12: q^2+2q+1
      13: q^2+2q+1
      14: q^2+2q+1
      15: 3q+1
      16: q^2+2q+1
      17: 3q+1
      18: q^2+2q+1
      19: 3q+1
      20: q^2+2q+1
      21: 3q+1
      22: q^2+2q+1
      23: 3q+1
      24: 3q+1
      25: q^2+2q+1
      26: q^2+2q+1
      27: 2q+1
      28: 2q+1
      29: 2q+1
      30: 2q+1
      31: 3q+1
      32: 3q+1
      33: 3q+1
      34: 3q+1
      35: 3q+1
      36: 3q+1
      37: 3q+1
      38: 3q+1
      39: q^2+2q+1
      40: 2q+1
      41: 2q+1
      42: 3q+1
      43: 3q+1
      44: 3q+1
      45: 3q+1
      46: 3q+1
      47: 3q+1
      48: q
      49: 2q+1
      50: q
      51: 2q+1
      52: q
      53: 2q+1
      54: q
      55: 2q+1
      56: 3q+1
      57: q^2+2q+1
      58: 3q+1
      59: q^2+2q+1
      60: 3q+1
      61: 3q+1
      62: q^2+2q+1
      63: q^2+2q+1
      64: 2q+1
      65: 2q+1
      66: 2q+1
      67: 2q+1
      68: 2q+1
      69: 2q+1
      70: 2q+1
      71: 2q+1
      72: 2q+1
      73: 2q+1
      74: 2q+1
      75: 2q+1
      76: q
      77: 2q+1
      78: q
      79: 2q+1
      80: q
      81: 2q+1
      82: q^2+2q+1
      83: 2q+1
      84: 2q+1
      85: 2q+1
      86: q+1
      87: q+1
      89: q+1
      91: q+1
      93: q+1
      95: q+1
      96: 3q+1
      97: 3q+1
      98: 2q+1
      99: 2q+1
     100: 3q+1
     101: 3q+1
     102: 2q+1
     103: 2q+1
     104: 3q+1
     105: 3q+1
     106: q^2+2q+1
     107: q^2+2q+1
     108: 2q+1
     109: 2q+1
     110: 2q+1
     111: 2q+1
     112: 2q+1
     113: 2q+1
     114: 2q+1
     115: 2q+1
     116: 2q+1
     117: 2q+1
     118: 2q+1
     119: 2q+1
     120: 2q+1
     121: 2q+1
     122: 2q+1
     123: 2q+1
     125: 1
     127: q+1
     129: q+1
     130: q
     131: 2q+1
     132: q
     133: 2q+1
     134: q^2+2q+1
     135: 2q+1
     137: q+1
     139: q+1
     141: q+1
     143: q+1
     144: 2q+1
     145: 2q+1
     146: q+1
     147: q+1
     148: 3q+1
     149: 2q+1
     150: 2q+1
     151: q+1
     152: 2q+1
     153: q+1
     154: 3q+1
     155: 2q+1
     156: 2q+1
     157: 2q+1
     158: q+1
     159: q+1
     160: 2q+1
     161: 2q+1
     163: q+1
     165: q+1
     167: q+1
     169: q+1
     170: 2q+1
     171: 2q+1
     172: 2q+1
     173: 2q+1
     174: 2q+1
     175: 2q+1
     176: 2q+1
     177: 2q+1
     178: 2q+1
     179: 2q+1
     180: 2q+1
     181: 2q+1
     182: 2q+1
     183: 2q+1
     184: 2q+1
     185: 2q+1
     187: q+1
     189: q+1
     191: 1
     193: 1
     195: q+1
     197: 1
     199: 1
     200: q
     201: 2q+1
     203: q+1
     205: q+1
     207: q+1
     209: q+1
     211: q+1
     213: q+1
     214: 2q+1
     215: 2q+1
     216: 2q+1
     217: q+1
     218: q+1
     219: q+1
     220: q+1
     221: 2q+1
     222: 2q+1
     223: 2q+1
     224: q+1
     225: q+1
     226: 2q+1
     227: 2q+1
     228: 2q+1
     229: q+1
     230: q+1
     231: 2q+1
     233: q+1
     235: q+1
     237: q+1
     239: q+1
     240: 2q+1
     241: q+1
     242: q+1
     243: 2q+1
     244: 2
     245: q+1
     246: 2
     247: q+1
     248: 2q+1
     249: 2q+1
     250: 2q+1
     251: 2q+1
     252: 2q+1
     253: 2q+1
     254: 2q+1
     255: 2q+1
     256: 2q+1
     257: 2q+1
     258: 2q+1
     259: 2q+1
     261: q+1
     263: q+1
     265: q+1
     267: 1
     269: 1
     271: 1
     273: 1
     275: 1
     277: 1
     279: 1
     281: q+1
     283: q+1
     285: 1
     287: q+1
     289: q+1
     291: q+1
     293: q+1
     295: q+1
     296: 2q+1
     297: q+1
     298: q+1
     299: 1
     300: q+1
     302: 2
     304: q+1
     306: 2
     308: q+1
     309: 2q+1
     310: 2q+1
     311: 2q+1
     312: q+1
     313: q+1
     314: q+1
     315: q+1
     316: 2
     317: 2q+1
     318: 2q+1
     319: 2q+1
     320: q+1
     321: q+1
     322: q+1
     323: q+1
     324: 2
     326: q+1
     328: q+1
     330: q+1
     332: q+1
     333: 2q+1
     334: 2q+1
     335: 2q+1
     336: q+1
     337: q+1
     338: 2
     339: q+1
     340: 2
     341: q+1
     342: 2q+1
     343: 2q+1
     344: 2q+1
     345: 2q+1
     347: q+1
     349: q+1
     351: q+1
     353: 1
     355: 1
     357: 1
     359: 1
     361: q+1
     363: 1
     365: 1
     367: 1
     369: 2
     371: 1
     373: 1
     375: 1
     377: 2
     379: q+1
     381: q+1
     383: q+1
     385: 1
     387: 1
     388: 1
     389: 1
     390: q+1
     391: q+1
     392: 1
     393: q+1
     395: 2
     397: q+1
     399: 2
     401: q+1
     402: 1
     403: 2q+1
     404: q+1
     405: q+1
     406: 1
     407: 2
     408: 2q+1
     409: q+1
     410: q+1
     411: 1
     412: 2
     414: q+1
     416: q+1
     418: q+1
     420: q+1
     421: 2q+1
     422: 2q+1
     423: 2q+1
     424: q+1
     425: q+1
     426: q+1
     427: q+1
     428: 2
     429: q+1
     430: 2
     431: q+1
     432: 2
     433: q+1
     434: 2
     435: q+1
     437: 1
     440: 1
     443: q+1
     445: 1
     447: 1
     449: 1
     451: 1
     453: q+1
     455: 1
     457: 1
     459: 1
     461: 1
     463: 2
     465: 1
     467: 1
     469: 1
     471: 1
     473: 2
     475: q+1
     477: q+1
     479: q+1
     481: 1
     483: 1
     485: 1
     486: 1
     487: 1
     488: q+1
     490: 2
     492: q+1
     494: 2
     496: q+1
     497: 1
     498: 1
     500: 2
     502: q+1
     504: 2
     506: q+1
     507: q+1
     508: 1
     509: 2
     510: q+1
     511: q+1
     512: 1
     513: 2
     514: 1
     515: 2
     516: q+1
     517: q+1
     518: 1
     519: 2
     520: 1
     521: 2q+1
     522: q+1
     523: q+1
     524: 1
     525: 2
     526: q+1
     527: 2
     528: q+1
     530: 1
     533: 1
     536: q+1
     538: 1
     540: 1
     542: 1
     544: 1
     546: q+1
     550: 2
     552: 1
     554: 1
     556: 1
     558: 1
     560: 2
     562: 2
     564: 1
     566: 1
     568: 1
     570: 1
     572: 2
     574: q+1
     575: 1
     576: 1
     578: 1
     580: 1
     582: 1
     584: 1
     585: 1
     586: 1
     588: 2
     590: q+1
     592: 2
     594: q+1
     595: q+1
     596: 1
     597: 1
     598: 1
     599: 2
     600: 1
     601: 1
     602: 1
     603: 2
     604: 1
     605: 1
     606: 1
     607: q+1
     608: q+1
     609: 1
     610: 1
     611: 2
     612: q+1
     613: 2
     614: q+1
     616: 1
     619: 1
     622: 1
     625: 1
     628: q+1
     630: 1
     632: 1
     634: 1
     642: 2
     644: 1
     646: 1
     648: 1
     650: 1
     652: 2
     654: 1
     656: 1
     658: 1
     660: 1
     661: 1
     662: 1
     664: 1
     666: 1
     668: 1
     670: 1
     674: 2
     676: q+1
     678: 2
     680: q+1
     681: q+1
     682: 1
     683: 1
     684: 2
     685: 1
     686: 1
     687: 1
     688: 2
     689: 1
     690: 1
     691: 1
     692: 1
     693: 1
     694: 1
     702: 1
     705: 1
     708: q+1
     710: 1
     712: 1
     720: 2
     722: 1
     724: 1
     726: 1
     728: 2
     730: 1
     732: 1
     734: 1
     735: 1
     736: 1
     738: 1
     740: 1
     742: 1
     744: 1
     751: 1
     752: 1
     753: 1
     754: 1
     755: 1
     756: 1
     757: 1
     758: 1
     766: 1
     769: 1
     780: 1
     786: 1
     788: 1
     790: 1
     792: 1
     794: 1
     796: 1
     798: 1
     806: 1
     807: 1
     808: 1
     809: 1
     829: 1
     831: 1
     835: 1
     837: 1
     843: 1
     865: 1

866:   0: 2q^2+4q+2
       1: 2q^2+4q+2
       2: 2q^2+4q+2
       3: 2q^2+4q+2
       4: 2q^2+4q+2
       5: 2q^3+2q^2+2q+2
       6: 2q^2+4q+2
       7: 2q^2+4q+2
       8: 2q^2+4q+2
       9: 2q^3+2q^2+2q+2
      10: 2q^3+2q^2+2q+2
      11: 2q^3+2q^2+2q+2
      12: 2q^2+4q+2
      13: q^5+2q^3+2q^2+q+2
      14: q^5+2q^3+2q^2+q+2
      15: 2q^2+2q+2
      16: 2q^2+2q+2
      17: 2q^2+2q+2
      18: q^3+2q^2+q+2
      19: 2q^2+4q+2
      20: 2q^2+4q+2
      21: 2q^2+4q+2
      22: q^5+2q^3+2q^2+q+2
      23: 4q+2
      24: 4q+2
      25: 2q^2+2q+2
      26: q^3+2q^2+q+2
      27: 2q^2+4q+2
      28: 2q^2+4q+2
      29: 2q^3+2q^2+2q+2
      30: 2q^2+4q+2
      31: 2q^2+4q+2
      32: 2q^2+4q+2
      33: 2q^2+4q+2
      34: 2q^3+2q^2+2q+2
      35: 2q^2+4q+2
      36: 2q^2+4q+2
      37: 2q^2+4q+2
      38: 2q^3+2q^2+2q+2
      39: 2q^2+q+2
      40: 2q^2+2q+2
      41: 2q^2+4q+2
      42: 2q^2+2q+2
      43: 2q^2+4q+2
      44: 4q+2
      45: 2q^2+2q+2
      46: 2q^2+4q+2
      47: 4q+2
      48: q^2+2q+1
      49: q^2+2q+1
      50: q^2+2q+1
      51: q^2+2q+1
      52: q^2+2q+1
      53: q^2+2q+1
      54: q^3+q^2+q+1
      55: q^3+q^2+q+1
      56: 2q^2+2q+2
      57: 2q^2+2q+2
      58: 2q^2+2q+2
      59: q^3+2q^2+q+2
      60: 4q+2
      61: 4q+2
      62: 2q^2+2q+2
      63: q^3+2q^2+q+2
      64: 4q+2
      65: 2q^2+2q+2
      66: 4q+2
      67: q^3+2q^2+q+2
      68: 2q^2+4q+2
      69: 2q^2+4q+2
      70: 2q^2+4q+2
      71: 2q^3+2q^2+2q+2
      72: 2q^2+4q+2
      73: 2q^2+4q+2
      74: 2q^2+4q+2
      75: 2q^3+2q^2+2q+2
      76: q^2+q+1
      77: q^2+q+1
      78: q^2+2q+1
      79: q^2+2q+1
      80: 2q+1
      81: 2q+1
      82: 2q^2+q+2
      83: 2q+2
      84: 2q^2+2q+2
      85: 2q^2+q+2
      86: 4q+2
      87: 4q+2
      88: q^2+2q+1
      89: q^2+2q+1
      90: q^2+2q+1
      91: q^2+2q+1
      92: q^2+2q+1
      93: q^2+2q+1
      94: q^3+q^2+q+1
      95: q^3+q^2+q+1
      96: 2q^2+2q+2
      97: 4q+2
      98: 2q^2+2q+2
      99: 2q^2+4q+2
     100: 2q^2+2q+2
     101: 4q+2
     102: 2q^2+2q+2
     103: 2q^2+4q+2
     104: 2q+2
     105: 2q+2
     106: q^2+q+2
     107: q^2+q+2
     108: 4q+2
     109: 2q^2+2q+2
     110: 4q+2
     111: q^3+2q^2+q+2
     112: 4q+2
     113: 2q^2+2q+2
     114: 4q+2
     115: q^3+2q^2+q+2
     116: 4q+2
     117: 2q^2+2q+2
     118: 4q+2
     119: q^3+2q^2+q+2
     120: 2q^2+4q+2
     121: 2q^2+4q+2
     122: 2q^2+4q+2
     123: 2q^3+2q^2+2q+2
     124: 2q+1
     125: 2q+1
     126: q^2+q+1
     127: q^2+q+1
     128: q^2+2q+1
     129: q^2+2q+1
     130: q^2+q+1
     131: q^2+q+1
     132: 2q+1
     133: 2q+1
     134: q^2+q+2
     135: q+2
     136: q+1
     137: q+1
     138: q^2+1
     139: q^2+1
     140: q+1
     141: q+1
     142: q^2+1
     143: q^2+1
     144: 2q^2+q+2
     145: 2q+2
     146: 4q+2
     147: 4q+2
     148: 2q+2
     149: 2q+2
     150: 2q^2+q+2
     151: 4q+2
     152: 2q^2+2q+2
     153: 4q+2
     154: 2q+2
     155: 2q+2
     156: 2q^2+q+2
     157: 2q^2+2q+2
     158: 4q+2
     159: 4q+2
     160: 2q^2+2q+2
     161: 2q^2+4q+2
     162: q^2+2q+1
     163: q^2+2q+1
     164: q^2+2q+1
     165: q^2+2q+1
     166: q^2+2q+1
     167: q^2+2q+1
     168: q^3+q^2+q+1
     169: q^3+q^2+q+1
     170: 2q+2
     171: q^2+q+2
     172: 2q+2
     173: q^2+q+2
     174: 4q+2
     175: 2q^2+2q+2
     176: 4q+2
     177: q^3+2q^2+q+2
     178: 4q+2
     179: 2q^2+2q+2
     180: 4q+2
     181: q^3+2q^2+q+2
     182: 4q+2
     183: 2q^2+2q+2
     184: 4q+2
     185: q^3+2q^2+q+2
     186: 1
     187: 1
     188: q^2+1
     189: q^2+1
     190: q+1
     191: q+1
     192: 2q+1
     193: 2q+1
     194: q^2+q+1
     195: q^2+q+1
     196: 2q+1
     197: 2q+1
     198: 2q+1
     199: 2q+1
     200: q+1
     201: q+1
     202: q^2+q+1
     203: q^2+q+1
     204: q^2+2q+1
     205: q^2+2q+1
     206: q+1
     207: q+1
     208: q^2+1
     209: q^2+1
     210: q+1
     211: q+1
     212: q^2+1
     213: q^2+1
     214: q+2
     215: q^2+q+2
     216: q+2
     217: 2q+2
     218: 2q+2
     219: 2q+2
     220: 2q+2
     221: q+2
     222: 2q^2+q+2
     223: 2q+2
     224: 4q+2
     225: 4q+2
     226: q+2
     227: 2q^2+q+2
     228: 2q+2
     229: 4q+2
     230: 4q+2
     231: 2q+2
     232: q+1
     233: q+1
     234: q^2+1
     235: q^2+1
     236: q+1
     237: q+1
     238: q^2+1
     239: q^2+1
     240: 2q^2+q+2
     241: 4q+2
     242: 4q+2
     243: 2q^2+2q+2
     244: 4q+2
     245: 2q^2+2q+2
     246: 4q+2
     247: q^3+2q^2+q+2
     248: 2q+2
     249: q^2+q+2
     250: 2q+2
     251: q^2+q+2
     252: 2q+2
     253: q^2+q+2
     254: 2q+2
     255: q^2+q+2
     256: 4q+2
     257: 2q^2+2q+2
     258: 4q+2
     259: q^3+2q^2+q+2
     260: q^2+1
     261: q^2+1
     262: 1
     263: 1
     264: 1
     265: 1
     266: q+1
     267: q+1
     268: 1
     269: 1
     270: q+1
     271: q+1
     272: q+1
     273: q+1
     274: 2q+1
     275: 2q+1
     276: q+1
     277: q+1
     278: 2q+1
     279: 2q+1
     280: 1
     281: 1
     282: q^2+1
     283: q^2+1
     284: 2q+1
     285: 2q+1
     286: q^2+q+1
     287: q^2+q+1
     296: q+2
     297: q+2
     298: q+2
     299: 2q+2
     300: 2q^2+q+2
     301: q+1
     302: q+1
     303: q^2+1
     304: q^2+1
     305: q+1
     306: q+1
     307: q^2+1
     308: q^2+1
     309: q+2
     310: q^2+q+2
     311: q+2
     312: 2q+2
     313: 2q+2
     314: 2q+2
     315: 2q+2
     316: 4q+2
     317: q+2
     318: q^2+q+2
     319: q+2
     320: 2q+2
     321: 2q+2
     322: 2q+2
     323: 2q+2
     324: 4q+2
     325: q+1
     326: q+1
     327: q^2+1
     328: q^2+1
     329: q+1
     330: q+1
     331: q^2+1
     332: q^2+1
     333: q+2
     334: 2q^2+q+2
     335: 2q+2
     336: 4q+2
     337: 4q+2
     338: 4q+2
     339: 2q^2+2q+2
     340: 4q+2
     341: q^3+2q^2+q+2
     342: 2q+2
     343: q^2+q+2
     344: 2q+2
     345: q^2+q+2
     350: 1
     351: 1
     354: 1
     355: 1
     356: 1
     357: 1
     358: 1
     359: 1
     360: q^2+1
     361: q^2+1
     362: 1
     363: 1
     364: q+1
     365: q+1
     366: q+1
     367: q+1
     368: q+1
     369: q+1
     370: 1
     371: 1
     372: q+1
     373: q+1
     374: q+1
     375: q+1
     376: q+1
     377: q+1
     378: q^2+1
     379: q^2+1
     380: 1
     381: 1
     382: 1
     383: 1
     384: 2q+1
     385: 2q+1
     386: q+1
     387: q+1
     388: 2q+1
     389: 2q+1
     390: q+2
     391: q+2
     392: q+2
     393: 2q^2+q+2
     394: q+1
     395: q+1
     396: q^2+1
     397: q^2+1
     398: q+1
     399: q+1
     400: q^2+1
     401: q^2+1
     402: 2q+2
     403: q+2
     404: q+2
     405: q+2
     406: 2q+2
     407: 4q+2
     408: q+2
     409: q+2
     410: q+2
     411: 2q+2
     412: 4q+2
     421: q+2
     422: q^2+q+2
     423: q+2
     424: 2q+2
     425: 2q+2
     426: 2q+2
     427: 2q+2
     428: 4
     429: 4
     430: 4
     431: 2q^2+2
     432: 2q+2
     433: q^2+q+2
     434: 2q+2
     435: q^2+q+2
     436: q+1
     440: q+1
     444: 1
     445: 1
     448: 1
     449: 1
     450: 1
     451: 1
     452: q^2+1
     453: q^2+1
     454: 1
     455: 1
     456: 1
     457: 1
     460: 1
     461: 1
     462: q+1
     463: q+1
     464: 1
     465: 1
     466: 1
     467: 1
     470: 1
     471: 1
     472: q+1
     473: q+1
     478: 1
     479: 1
     480: 1
     481: 1
     482: q+1
     483: q+1
     484: q+1
     485: q+1
     486: 2q+1
     487: 2q+1
     488: 2
     489: 2
     490: 2
     491: 2
     492: 2
     493: 2
     494: 2
     495: q^2+1
     496: q^2+1
     497: 4
     498: q+2
     507: q^2+q+2
     508: q+2
     509: 4
     510: q+2
     511: q+2
     512: q+2
     513: 2q+2
     514: 2q+2
     515: 4
     516: q+2
     517: q+2
     518: q+2
     519: 2q+2
     520: 2q+2
     521: q+2
     522: q+2
     523: q+2
     524: 2q+2
     525: 2
     526: 2
     527: 2
     528: q^2+1
     529: q+1
     533: q+1
     535: 1
     536: 1
     539: 2
     540: 2
     541: 1
     542: 1
     547: 1
     548: 1
     549: 2
     550: 2
     551: 1
     552: 1
     555: 1
     556: 1
     557: 1
     558: 1
     561: 2
     562: 2
     563: 1
     564: 1
     567: 1
     568: 1
     569: 1
     570: 1
     575: 2
     576: 2
     577: 1
     578: 1
     579: 1
     580: 1
     583: 1
     584: 1
     585: q+1
     586: q+1
     595: 1
     596: 2
     597: 2
     598: q+2
     599: 2
     600: 4
     601: q+2
     602: q+2
     603: 2
     604: 4
     605: q+2
     606: q+2
     607: q+2
     608: q+2
     609: q+2
     610: 2q+2
     611: 2
     612: 2
     613: 2
     614: q^2+1
     615: 1
     616: 1
     618: 1
     619: 1
     629: 1
     630: 1
     635: 1
     636: 1
     637: 1
     638: 1
     639: 2
     640: 2
     645: 2
     646: 2
     647: 1
     648: 1
     655: 2
     656: 2
     657: 1
     658: 1
     661: 1
     662: 1
     663: 1
     664: 1
     667: 1
     668: 1
     669: 1
     670: 1
     671: 1
     672: 1
     681: 1
     682: 2
     683: 1
     684: 2
     685: 2
     686: 2
     687: q+2
     688: 2
     689: 2
     690: 2
     691: q+2
     692: q+2
     693: 4
     694: q+2
     695: 1
     696: 1
     698: 1
     699: 1
     713: 1
     714: 1
     717: 1
     718: 1
     721: 1
     722: 1
     729: 1
     730: 1
     735: 1
     736: 1
     739: 1
     740: 1
     743: 2
     744: 2
     745: 1
     746: 1
     747: 1
     748: 1
     749: 2
     750: 2
     751: 1
     752: 1
     753: 2
     754: 1
     755: 2
     756: 2
     757: 2
     758: q+2
     771: 1
     772: 1
     774: 1
     775: 1
     781: 1
     782: 1
     793: 1
     794: 1
     799: 1
     800: 1
     803: 1
     804: 1
     805: 2
     806: 1
     807: 1
     808: 1
     809: 2
     826: 1
     827: 1
     838: 1
     839: 1
     842: 1
     843: 1
     866: 1

867:   0: q^2+q+1
       1: q^2+q+1
       2: q^2+q+1
       3: q+1
       4: q^2+q+1
       5: q^2+q+1
       6: q+1
       7: q^2+q+1
       8: q^2+q+1
       9: q+1
      10: q^2+q+1
      11: q+1
      12: q^3+q^2+q+1
      13: q+1
      14: q+1
      15: q^2+q+1
      16: q+1
      17: q^2+q+1
      18: q+1
      19: q^2+q+1
      20: q+1
      21: q^2+q+1
      22: q+1
      23: q^2+q+1
      24: q^2+q+1
      25: q+1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      30: q^2+q+1
      31: q^2+q+1
      32: q^2+q+1
      33: q^2+q+1
      34: q^2+q+1
      35: q^2+q+1
      36: q^2+q+1
      37: q^2+q+1
      38: q^2+q+1
      39: q+1
      40: q+1
      41: q+1
      42: q^2+q+1
      43: q^2+q+1
      44: q^2+q+1
      45: q^2+q+1
      46: q^2+q+1
      47: q^2+q+1
      48: q^2+q+1
      50: q^2+q+1
      52: q^2+q+1
      54: q^2+q+1
      56: q^2+q+1
      57: q+1
      58: q^2+q+1
      59: q+1
      60: q^2+q+1
      61: q^2+q+1
      62: q+1
      63: q+1
      64: q+1
      65: q+1
      66: q^2+q+1
      67: q+1
      68: q+1
      69: q+1
      70: q^2+q+1
      71: q+1
      72: q+1
      73: q+1
      74: q^2+q+1
      75: q+1
      76: q^2+q+1
      78: q^2+q+1
      80: q^2+q+1
      82: q+1
      83: q+1
      84: q+1
      85: q+1
      86: q+1
      87: q+1
      88: q+1
      90: q+1
      92: q^2+q+1
      94: q+1
      96: q^2+q+1
      97: q^2+q+1
      98: q+1
      99: q+1
     100: q^2+q+1
     101: q^2+q+1
     102: q+1
     103: q+1
     104: q^2+q+1
     105: q^2+q+1
     106: q+1
     107: q+1
     108: q+1
     109: q+1
     110: q^2+q+1
     111: q+1
     112: q+1
     113: q+1
     114: q^2+q+1
     115: q+1
     116: q+1
     117: q+1
     118: q^2+q+1
     119: q+1
     120: q+1
     121: q+1
     122: q^2+q+1
     123: q+1
     124: q+1
     126: q+1
     128: q+1
     130: q^2+q+1
     132: q^2+q+1
     134: q+1
     135: q+1
     136: q+1
     138: q+1
     140: q^2+q+1
     142: q+1
     144: q+1
     145: q+1
     146: q+1
     147: q+1
     148: q^2+q+1
     149: q+1
     150: q+1
     151: q+1
     152: q+1
     153: q+1
     154: q^2+q+1
     155: q+1
     156: q+1
     157: q+1
     158: q+1
     159: q+1
     160: q+1
     161: q+1
     162: q+1
     164: q+1
     166: q^2+q+1
     168: q+1
     170: q+1
     171: q+1
     172: q^2+q+1
     173: q+1
     174: q+1
     175: q+1
     176: q^2+q+1
     177: q+1
     178: q+1
     179: q+1
     180: q^2+q+1
     181: q+1
     182: q+1
     183: q+1
     184: q^2+q+1
     185: q+1
     186: q+1
     188: q+1
     190: q+1
     192: q+1
     194: q+1
     196: q+1
     198: q+1
     200: q^2+q+1
     202: q+1
     204: q+1
     206: q+1
     208: q+1
     210: q^2+q+1
     212: q+1
     214: q+1
     215: q+1
     216: q+1
     217: q+1
     218: q+1
     219: q+1
     220: q+1
     221: q+1
     222: q+1
     223: q+1
     224: q+1
     225: q+1
     226: q+1
     227: q+1
     228: q+1
     229: q+1
     230: q+1
     231: q+1
     232: q+1
     234: q+1
     236: q^2+q+1
     238: q+1
     240: q+1
     241: q+1
     242: q+1
     243: q+1
     244: q+1
     245: 1
     246: q+1
     247: 1
     248: q+1
     249: q+1
     250: q^2+q+1
     251: q+1
     252: q+1
     253: q+1
     254: q^2+q+1
     255: q+1
     256: q+1
     257: q+1
     258: q^2+q+1
     259: q+1
     260: q+1
     262: q+1
     264: q+1
     266: q+1
     268: q+1
     270: q+1
     272: q+1
     274: q+1
     276: q+1
     278: q+1
     280: q+1
     282: q+1
     284: q+1
     286: q+1
     288: q+1
     290: q+1
     292: q^2+q+1
     294: q+1
     296: q+1
     297: q+1
     298: q+1
     299: 1
     300: 1
     301: q+1
     303: 1
     305: q+1
     307: 1
     309: q+1
     310: q+1
     311: q+1
     312: q+1
     313: q+1
     314: q+1
     315: q+1
     316: q+1
     317: q+1
     318: q+1
     319: q+1
     320: q+1
     321: q+1
     322: q+1
     323: q+1
     324: q+1
     325: q+1
     327: q+1
     329: q^2+q+1
     331: q+1
     333: q+1
     334: q+1
     335: q+1
     336: q+1
     337: q+1
     338: q+1
     339: 1
     340: q+1
     341: 1
     342: q+1
     343: q+1
     344: q^2+q+1
     345: q+1
     346: q+1
     348: q+1
     350: q+1
     352: q+1
     354: q+1
     356: q+1
     358: 1
     360: 1
     362: q+1
     364: q+1
     366: q+1
     368: q+1
     370: q+1
     372: q+1
     374: q+1
     376: q+1
     378: q+1
     380: q+1
     382: q+1
     384: q+1
     386: q+1
     388: q+1
     390: q+1
     391: q+1
     392: 1
     393: 1
     394: q+1
     396: 1
     398: q+1
     400: 1
     402: 1
     403: q+1
     404: q+1
     405: q+1
     406: 1
     407: q+1
     408: q+1
     409: q+1
     410: q+1
     411: 1
     412: q+1
     413: q+1
     415: q+1
     417: q^2+q+1
     419: q+1
     421: q+1
     422: q+1
     423: q+1
     424: q+1
     425: q+1
     426: q+1
     427: q+1
     428: q+1
     429: 1
     430: q+1
     431: 1
     432: q+1
     433: 1
     434: q+1
     435: 1
     436: q+1
     442: q+1
     444: q+1
     446: q+1
     448: 1
     450: 1
     452: 1
     454: q+1
     456: q+1
     458: q+1
     460: 1
     462: q+1
     464: q+1
     466: q+1
     468: q+1
     470: 1
     472: q+1
     474: q+1
     476: q+1
     478: q+1
     480: q+1
     482: q+1
     484: q+1
     486: q+1
     488: 1
     489: q+1
     491: 1
     493: q+1
     495: 1
     497: 1
     498: 1
     499: q+1
     501: 1
     503: q+1
     505: 1
     507: 1
     508: 1
     509: q+1
     510: q+1
     511: q+1
     512: 1
     513: q+1
     514: 1
     515: q+1
     516: q+1
     517: q+1
     518: 1
     519: q+1
     520: 1
     521: q+1
     522: q+1
     523: q+1
     524: 1
     525: q+1
     526: 1
     527: q+1
     528: 1
     529: q+1
     535: 1
     537: q+1
     539: 1
     541: 1
     543: 1
     545: 1
     547: 1
     549: q+1
     551: q+1
     553: q+1
     555: 1
     557: 1
     559: q+1
     561: q+1
     563: q+1
     565: q+1
     567: 1
     569: 1
     571: q+1
     573: q+1
     575: q+1
     577: q+1
     579: q+1
     581: q+1
     583: 1
     585: q+1
     587: q+1
     589: 1
     591: q+1
     593: 1
     595: 1
     596: 1
     597: 1
     598: 1
     599: q+1
     600: 1
     601: 1
     602: 1
     603: q+1
     604: 1
     605: 1
     606: 1
     607: q+1
     608: q+1
     609: 1
     610: 1
     611: q+1
     612: 1
     613: q+1
     614: 1
     615: q+1
     621: q+1
     627: 1
     629: 1
     631: 1
     633: 1
     635: 1
     637: 1
     639: 1
     641: q+1
     643: q+1
     645: 1
     647: 1
     649: 1
     651: q+1
     653: q+1
     655: 1
     657: 1
     659: 1
     661: q+1
     663: q+1
     665: q+1
     667: 1
     669: 1
     671: 1
     673: q+1
     675: 1
     677: q+1
     679: 1
     681: 1
     682: 1
     683: 1
     684: q+1
     685: 1
     686: 1
     687: 1
     688: q+1
     689: 1
     690: 1
     691: 1
     692: 1
     693: 1
     694: 1
     695: 1
     701: q+1
     707: 1
     709: 1
     711: 1
     713: 1
     715: 1
     717: 1
     719: q+1
     721: 1
     723: 1
     725: 1
     727: q+1
     729: 1
     731: 1
     733: 1
     735: q+1
     737: q+1
     739: 1
     741: 1
     743: 1
     745: 1
     747: 1
     749: 1
     751: 1
     752: 1
     753: 1
     754: 1
     755: 1
     756: 1
     757: 1
     758: 1
     759: 1
     765: q+1
     771: 1
     777: 1
     779: 1
     781: 1
     783: 1
     785: 1
     787: 1
     789: 1
     791: 1
     793: 1
     795: 1
     797: 1
     799: 1
     801: 1
     803: 1
     806: 1
     807: 1
     808: 1
     809: 1
     810: 1
     816: 1
     822: 1
     824: 1
     828: 1
     830: 1
     832: 1
     834: 1
     836: 1
     838: 1
     840: 1
     843: 1
     844: 1
     850: 1
     860: 1
     862: 1
     864: 1
     867: 1

868:   0: 4q^3+5q^2+2q
       1: q^4+3q^3+4q^2+2q
       2: 4q^3+5q^2+2q
       3: q^4+3q^3+4q^2+2q
       4: 4q^3+5q^2+2q
       5: q^4+3q^3+4q^2+2q
       6: 3q^3+3q^2+2q
       7: q^4+3q^3+4q^2+2q
       8: 4q^3+5q^2+2q
       9: 3q^3+3q^2+2q
      10: q^4+3q^3+4q^2+2q
      11: 3q^3+3q^2+2q
      12: 2q^4+4q^3+4q^2+2q
      13: 3q^3+3q^2+2q
      14: q^4+2q^3+2q^2+q
      15: q^4+3q^3+4q^2+2q
      16: 3q^3+3q^2+2q
      17: q^4+3q^3+4q^2+2q
      18: 3q^3+3q^2+2q
      19: 2q^3+4q^2+2q
      20: 2q^3+3q^2+2q
      21: 2q^3+4q^2+2q
      22: 2q^3+2q^2+q
      23: 4q^3+5q^2+2q
      24: 4q^3+5q^2+2q
      25: 3q^3+3q^2+2q
      26: 3q^3+3q^2+2q
      27: 2q^3+4q^2+2q
      28: 2q^3+3q^2+2q
      29: 2q^3+3q^2+2q
      30: 3q^3+4q^2+2q
      31: 4q^3+5q^2+2q
      32: q^4+3q^3+4q^2+2q
      33: 4q^3+5q^2+2q
      34: q^4+3q^3+4q^2+2q
      35: 4q^3+5q^2+2q
      36: q^4+3q^3+4q^2+2q
      37: 4q^3+5q^2+2q
      38: q^4+3q^3+4q^2+2q
      39: 3q^3+3q^2+2q
      40: 2q^3+3q^2+2q
      41: q^3+3q^2+2q
      42: q^4+3q^3+4q^2+2q
      43: 2q^3+4q^2+2q
      44: 4q^3+5q^2+2q
      45: q^4+3q^3+4q^2+2q
      46: 2q^3+4q^2+2q
      47: 4q^3+5q^2+2q
      48: 2q^3+2q^2+q
      49: 2q^3+3q^2+q
      50: q^3+2q^2+q
      51: q^4+2q^3+2q^2+q
      52: 2q^3+2q^2+q
      53: 2q^3+3q^2+q
      54: q^3+2q^2+q
      55: q^4+2q^3+2q^2+q
      56: 2q^3+4q^2+2q
      57: 2q^3+3q^2+2q
      58: 2q^3+4q^2+2q
      59: 2q^3+2q^2+q
      60: 2q^3+4q^2+2q
      61: 2q^3+4q^2+2q
      62: 2q^3+3q^2+2q
      63: 2q^3+2q^2+q
      64: 2q^3+4q^2+2q
      65: 2q^3+3q^2+2q
      66: 3q^3+4q^2+2q
      67: 2q^3+3q^2+2q
      68: 2q^3+4q^2+2q
      69: 2q^3+3q^2+2q
      70: 3q^3+4q^2+2q
      71: 2q^3+3q^2+2q
      72: 2q^3+4q^2+2q
      73: 2q^3+3q^2+2q
      74: 3q^3+4q^2+2q
      75: 2q^3+3q^2+2q
      76: q^3+2q^2+q
      77: q^4+2q^3+2q^2+q
      78: q^3+2q^2+q
      79: q^3+2q^2+q
      80: 2q^3+2q^2+q
      81: 2q^3+3q^2+q
      82: q^3+2q^2+q
      83: q^3+3q^2+2q
      84: q^3+3q^2+2q
      85: 2q^3+3q^2+2q
      86: q^3+3q^2+2q
      87: q^3+3q^2+2q
      88: q^2+q
      89: q^3+2q^2+q
      90: q^2+q
      91: 2q^3+q^2+q
      92: q^3+q^2+q
      93: q^3+2q^2+q
      94: q^2+q
      95: 2q^3+q^2+q
      96: 2q^3+4q^2+2q
      97: 2q^3+4q^2+2q
      98: 2q^3+3q^2+2q
      99: q^3+3q^2+2q
     100: 2q^3+4q^2+2q
     101: 2q^3+4q^2+2q
     102: 2q^3+3q^2+2q
     103: q^3+3q^2+2q
     104: 2q^3+4q^2+2q
     105: 2q^3+4q^2+2q
     106: 2q^3+3q^2+2q
     107: 2q^3+2q^2+q
     108: 3q^2+2q
     109: 3q^2+2q
     110: q^3+3q^2+2q
     111: q^3+2q^2+q
     112: 2q^3+4q^2+2q
     113: 2q^3+3q^2+2q
     114: 3q^3+4q^2+2q
     115: 2q^3+3q^2+2q
     116: 2q^3+4q^2+2q
     117: 2q^3+3q^2+2q
     118: 3q^3+4q^2+2q
     119: 2q^3+3q^2+2q
     120: 2q^3+4q^2+2q
     121: 2q^3+3q^2+2q
     122: 3q^3+4q^2+2q
     123: 2q^3+3q^2+2q
     124: q^2+q
     125: q^2+q
     126: q^2+q
     127: 2q^3+q^2+q
     128: q^2+q
     129: q^3+q^2+q
     130: q^3+2q^2+q
     131: q^3+2q^2+q
     132: q^3+2q^2+q
     133: q^3+2q^2+q
     134: q^3+2q^2+q
     135: q^3+3q^2+2q
     136: q^2+q
     137: q^3+2q^2+q
     138: q^2+q
     139: 2q^3+q^2+q
     140: q^3+q^2+q
     141: q^3+2q^2+q
     142: q^2+q
     143: 2q^3+q^2+q
     144: 2q^2+q
     145: 3q^2+2q
     146: 2q^2+2q
     147: 2q^2+2q
     148: 2q^3+4q^2+2q
     149: q^3+3q^2+2q
     150: 2q^3+3q^2+2q
     151: q^3+3q^2+2q
     152: q^3+3q^2+2q
     153: q^3+3q^2+2q
     154: 2q^3+4q^2+2q
     155: q^3+3q^2+2q
     156: 2q^3+3q^2+2q
     157: q^3+3q^2+2q
     158: q^3+3q^2+2q
     159: q^3+3q^2+2q
     160: 2q^3+3q^2+2q
     161: q^3+3q^2+2q
     162: q^2+q
     163: q^3+2q^2+q
     164: q^2+q
     165: 2q^3+q^2+q
     166: q^3+q^2+q
     167: q^3+2q^2+q
     168: q^2+q
     169: 2q^3+q^2+q
     170: 3q^2+2q
     171: 3q^2+2q
     172: q^3+3q^2+2q
     173: q^3+2q^2+q
     174: 3q^2+2q
     175: 3q^2+2q
     176: q^3+3q^2+2q
     177: q^3+2q^2+q
     178: 3q^2+2q
     179: 3q^2+2q
     180: q^3+3q^2+2q
     181: q^3+2q^2+q
     182: 2q^3+4q^2+2q
     183: 2q^3+3q^2+2q
     184: 3q^3+4q^2+2q
     185: 2q^3+3q^2+2q
     186: q^2+q
     187: q^3+q^2+q
     188: q^2+q
     189: 2q^3+q^2+q
     190: q^2+q
     191: q^2+q
     192: q^2+q
     193: q
     194: q^2+q
     195: q^3+q^2+q
     196: q^2+q
     197: q^2+q
     198: q^2+q
     199: q^2+q
     200: q^3+2q^2+q
     201: q^3+2q^2+q
     202: q^2+q
     203: 2q^3+q^2+q
     204: q^2+q
     205: q^3+q^2+q
     207: q^2+q
     209: q^2+q
     211: q^2+q
     213: q^3+q^2
     214: 2q^2+q
     215: 2q^2+q
     216: 3q^2+2q
     217: 2q^2+2q
     218: 2q^2+2q
     219: 2q^2+2q
     220: 2q^2+2q
     221: q^3+3q^2+2q
     222: 2q^2+q
     223: 3q^2+2q
     224: 2q^2+2q
     225: 2q^2+2q
     226: q^3+3q^2+2q
     227: 2q^2+q
     228: 3q^2+2q
     229: 2q^2+2q
     230: 2q^2+2q
     231: q^3+3q^2+2q
     232: q^2+q
     233: q^3+2q^2+q
     234: q^2+q
     235: 2q^3+q^2+q
     236: q^3+q^2+q
     237: q^3+2q^2+q
     238: q^2+q
     239: 2q^3+q^2+q
     240: 2q^3+3q^2+2q
     241: q^3+3q^2+2q
     242: q^3+3q^2+2q
     243: q^3+3q^2+2q
     244: 3q^2+3q
     245: q^3+q^2+2q
     246: 3q^2+3q
     247: q^3+q^2+2q
     248: 3q^2+2q
     249: 3q^2+2q
     250: q^3+3q^2+2q
     251: q^3+2q^2+q
     252: 3q^2+2q
     253: 3q^2+2q
     254: q^3+3q^2+2q
     255: q^3+2q^2+q
     256: 3q^2+2q
     257: 3q^2+2q
     258: q^3+3q^2+2q
     259: q^3+2q^2+q
     261: q^2
     263: q^2+q
     264: q^2+q
     265: q^3+q^2+q
     267: q
     268: q^2+q
     269: q
     270: q^2+q
     271: q
     272: q^2+q
     273: q^2+q
     274: q^2+q
     275: q
     276: q^2+q
     277: q^2+q
     278: q^2+q
     279: q
     280: q^2+q
     281: q^3+q^2+q
     282: q^2+q
     283: 2q^3+q^2+q
     284: q^2+q
     285: q^2+q
     286: q^2+q
     287: q^3+q^2+q
     289: q^2+q
     291: q^2+q
     293: q^2+q
     295: q^3+q^2
     296: 2q^2+q
     297: 2q^2+2q
     298: 2q^2+2q
     299: 2q
     300: q^3+q^2+2q
     301: q^2+q
     302: 2q^2+2q
     303: q
     304: q^3+q^2+q
     305: q^2+q
     306: 2q^2+2q
     307: q
     308: q^3+q^2+q
     309: 2q^2+q
     310: 2q^2+q
     311: 3q^2+2q
     312: 2q^2+2q
     313: 2q^2+2q
     314: 2q^2+2q
     315: 2q^2+2q
     316: 3q^2+3q
     317: 2q^2+q
     318: 2q^2+q
     319: 3q^2+2q
     320: 2q^2+2q
     321: 2q^2+2q
     322: 2q^2+2q
     323: 2q^2+2q
     324: 3q^2+3q
     326: q^2+q
     328: q^2+q
     330: q^2+q
     332: q^3+q^2
     333: q^3+3q^2+2q
     334: 2q^2+q
     335: 3q^2+2q
     336: 2q^2+2q
     337: 2q^2+2q
     338: q^2+3q
     339: q^2+2q
     340: q^2+3q
     341: q^2+q
     342: 3q^2+2q
     343: 3q^2+2q
     344: q^3+3q^2+2q
     345: q^3+2q^2+q
     347: q^2
     349: q^2+q
     351: q^2
     353: q
     355: q
     356: q^2+q
     357: q
     358: q
     359: q
     360: q
     361: q^3+q^2+q
     362: q^2+q
     363: q
     365: q
     366: q^2+q
     367: q
     368: q^2+q
     369: 2q^2+2q
     370: q^2+q
     371: q
     373: q
     374: q^2+q
     375: q
     376: q^2+q
     377: 2q^2+2q
     379: q^2
     381: q^2+q
     382: q^2+q
     383: q^3+q^2+q
     384: q^2+q
     385: q
     386: q^2+q
     387: q^2+q
     388: 2q^2+2q
     389: q^2+q
     390: q^2+q
     391: q^2+q
     392: 2q
     393: q^2+q
     395: 2q
     397: q^2+q
     399: 2q
     401: q^2
     402: 2q
     403: 2q^2+q
     404: 2q^2+2q
     405: 2q^2+2q
     406: 2q
     407: q^2+3q
     408: 2q^2+q
     409: 2q^2+2q
     410: 2q^2+2q
     411: 2q
     412: q^2+3q
     414: q^2+q
     416: q^2+q
     418: q^2+q
     420: q^3+q^2
     421: 2q^2+q
     422: 2q^2+q
     423: 3q^2+2q
     424: 2q^2+2q
     425: 2q^2+2q
     426: 2q^2+2q
     427: 2q^2+2q
     428: q^2+3q
     429: q^2+2q
     430: q^2+3q
     431: q^2+q
     432: q^2+3q
     433: q^2+2q
     434: q^2+3q
     435: q^2+q
     436: q^2+q
     437: q^2+q
     440: q^2+q
     443: q^2
     447: q
     449: q
     450: q
     451: q
     453: q^2
     455: q
     456: q^2+q
     457: q
     459: q
     460: q
     461: q
     463: 2q
     465: q
     466: q^2+q
     467: q
     469: q
     470: q
     471: q
     473: 2q
     475: q^2
     477: q^2+q
     479: q^2
     480: q^2+q
     481: q
     483: q
     484: q^2+q
     485: q
     486: q^2+2q
     487: q
     488: q^2+q
     490: 2q
     492: q^2+q
     494: 2q
     496: q^2
     497: 2q
     498: q
     500: 2q
     502: q^2+q
     504: 2q
     506: q^2
     507: q^2+q
     508: 2q
     509: q^2+3q
     510: q^2+q
     511: q^2+q
     512: 2q
     513: q^2+3q
     514: 2q
     515: q^2+3q
     516: q^2+q
     517: q^2+q
     518: 2q
     519: q^2+3q
     520: 2q
     521: 2q^2+q
     522: 2q^2+2q
     523: 2q^2+2q
     524: 2q
     525: q^2+3q
     526: q^2+2q
     527: q^2+3q
     528: q^2+q
     530: q
     533: q
     536: q^2
     540: q
     544: q
     546: q^2
     547: q
     550: 2q
     554: q
     556: q
     557: q
     558: q
     560: 2q
     562: 2q
     566: q
     568: q
     569: q
     570: q
     572: 2q
     574: q^2
     575: q^2+2q
     576: q
     578: q
     579: q^2+q
     580: q
     582: q
     583: q
     584: q
     585: q^2+2q
     586: q
     588: 2q
     590: q^2+q
     592: 2q
     594: q^2
     595: q^2+q
     596: q
     597: 2q
     598: q
     599: q^2+3q
     600: 2q
     601: q
     602: 2q
     603: q^2+3q
     604: 2q
     605: q
     606: 2q
     607: q^2+q
     608: q^2+q
     609: 2q
     610: 2q
     611: q+1
     612: 1
     613: q+1
     614: 1
     616: q
     619: q
     622: q
     625: q
     628: q^2
     632: q
     635: q
     639: q
     642: 2q
     646: q
     650: q
     652: 2q
     656: q
     660: q
     661: q^2+2q
     662: q
     666: q
     668: q
     669: q
     670: q
     671: q
     674: q+1
     676: 1
     678: q+1
     680: 1
     681: 1
     682: 1
     683: q
     684: q+1
     685: q
     686: 2q
     687: q
     688: q+1
     689: q
     690: 2q
     691: q
     692: q
     693: 2q
     694: 2q
     702: q
     705: q
     708: 1
     710: 1
     717: q
     720: q+1
     724: q
     728: q+1
     732: q
     735: q+1
     742: q
     744: q
     745: q
     749: q
     751: 1
     752: q
     753: 1
     754: q
     755: 1
     756: q
     757: 2q
     758: q
     766: q+1
     780: 1
     781: 1
     788: 1
     792: 1
     798: q
     803: q
     806: 1
     807: 1
     808: q
     809: 1
     811: 1
     824: 1
     829: 1
     831: 1
     837: 1
     838: 1
     843: 1
     845: 1
     851: 1
     862: 1
     865: 1
     868: 1

869:   0: q^3+q^2+q
       1: q^3+q^2+q
       2: q^3+q^2+q
       3: q^2+q
       4: q^3+q^2+q
       5: q
       6: q^2+q
       7: q^3+q^2+q
       8: q^3+q^2+q
       9: q^6+q
      10: q
      11: q^2+q
      12: q^4+q^3+q^2+q
      13: q^6+q
      14: q^6+q
      15: q
      16: q
      17: q
      18: q
      19: q^3+q^2+q
      20: q^2+q
      21: q^3+q^2+q
      22: q^6+q
      23: q^3+q^2+q
      24: q^3+q^2+q
      25: q^2+q
      26: q^6+q
      27: q^2+q
      28: q^2+q
      29: q
      30: q^3+q^2+q
      31: q^3+q^2+q
      32: q^3+q^2+q
      33: q^3+q^2+q
      34: q
      35: q^3+q^2+q
      36: q^3+q^2+q
      37: q^3+q^2+q
      38: q
      39: q
      40: q
      41: q^2+q
      42: q
      43: q^3+q^2+q
      44: q^3+q^2+q
      45: q
      46: q^3+q^2+q
      47: q^3+q^2+q
      48: q^3+q^2+q
      50: q^3+q^2+q
      52: q^3+q^2+q
      54: q
      56: q
      57: q
      58: q
      59: q
      60: q^3+q^2+q
      61: q^3+q^2+q
      62: q^2+q
      63: q^6+q
      64: q^2+q
      65: q^2+q
      66: q^3+q^2+q
      67: q
      68: q^2+q
      69: q^2+q
      70: q^3+q^2+q
      71: q
      72: q^2+q
      73: q^2+q
      74: q^3+q^2+q
      75: q
      76: q
      78: q^3+q^2+q
      80: q^3+q^2+q
      82: q
      83: q^2+q
      84: q
      85: q
      86: q^2+q
      87: q^2+q
      88: q^2+q
      90: q^2+q
      92: q^3+q^2+q
      94: q
      96: q
      97: q^3+q^2+q
      98: q
      99: q^2+q
     100: q
     101: q^3+q^2+q
     102: q
     103: q^2+q
     104: q
     105: q
     106: q
     107: q
     108: q^2+q
     109: q^2+q
     110: q^3+q^2+q
     111: q
     112: q^2+q
     113: q^2+q
     114: q^3+q^2+q
     115: q
     116: q^2+q
     117: q^2+q
     118: q^3+q^2+q
     119: q
     120: q^2+q
     121: q^2+q
     122: q^3+q^2+q
     123: q
     124: q^2+q
     126: q
     128: q^2+q
     130: q
     132: q^3+q^2+q
     134: q
     135: q
     136: q^2+q
     138: q^2+q
     140: q^3+q^2+q
     142: q
     144: q
     145: q^2+q
     146: q^2+q
     147: q^2+q
     148: q
     149: q^2+q
     150: q
     151: q^2+q
     152: q
     153: q^2+q
     154: q
     155: q^2+q
     156: q
     157: q
     158: q^2+q
     159: q^2+q
     160: q
     161: q^2+q
     162: q^2+q
     164: q^2+q
     166: q^3+q^2+q
     168: q
     170: q
     171: q
     172: q
     173: q
     174: q^2+q
     175: q^2+q
     176: q^3+q^2+q
     177: q
     178: q^2+q
     179: q^2+q
     180: q^3+q^2+q
     181: q
     182: q^2+q
     183: q^2+q
     184: q^3+q^2+q
     185: q
     186: q^2+q
     188: q
     190: q^2+q
     192: q^2+q
     194: q
     196: q^2+q
     198: q^2+q
     200: q
     202: q
     204: q^2+q
     206: q^2+q
     208: q^2+q
     210: q^3+q^2+q
     212: q
     214: q
     215: q
     216: q
     217: q
     218: q^2+q
     219: q
     220: q^2+q
     221: q
     222: q
     223: q^2+q
     224: q^2+q
     225: q^2+q
     226: q
     227: q
     228: q^2+q
     229: q^2+q
     230: q^2+q
     231: q^2+q
     232: q^2+q
     234: q^2+q
     236: q^3+q^2+q
     238: q
     240: q
     241: q^2+q
     242: q^2+q
     243: q
     244: q^2+q
     245: q
     246: q^2+q
     247: q
     248: q
     249: q
     250: q
     251: q
     252: q
     253: q
     254: q
     255: q
     256: q^2+q
     257: q^2+q
     258: q^3+q^2+q
     259: q
     260: q
     262: q^2+q
     264: q
     266: q^2+q
     268: q^2+q
     270: q
     272: q^2+q
     274: q^2+q
     276: q^2+q
     278: q^2+q
     280: q^2+q
     282: q
     284: q^2+q
     286: q
     288: q
     290: q
     292: q
     294: q
     296: q
     297: q
     298: q
     299: q
     300: q
     301: q^2+q
     303: q
     305: q^2+q
     307: q
     309: q
     310: q
     311: q
     312: q
     313: q^2+q
     314: q
     315: q^2+q
     316: q^2+q
     317: q
     318: q
     319: q
     320: q
     321: q^2+q
     322: q
     323: q^2+q
     324: q^2+q
     325: q^2+q
     327: q^2+q
     329: q^3+q^2+q
     331: q
     333: q
     334: q
     335: q^2+q
     336: q^2+q
     337: q^2+q
     338: q^2+q
     339: q
     340: q^2+q
     341: q
     342: q
     343: q
     344: q
     345: q
     346: q
     348: q
     350: q
     352: q
     354: q^2+q
     356: q
     358: q
     360: q
     362: q^2+q
     364: q^2+q
     366: q
     368: q^2+q
     370: q^2+q
     372: q^2+q
     374: q
     376: q^2+q
     378: q
     380: q^2+q
     382: q
     384: q^2+q
     386: q^2+q
     388: q^2+q
     390: q
     391: q
     392: q
     393: q
     394: q^2+q
     396: q
     398: q^2+q
     400: q
     402: q
     403: q
     404: q
     405: q
     406: q
     407: q^2+q
     408: q
     409: q
     410: q
     411: q
     412: q^2+q
     413: q
     415: q
     417: q
     419: q
     421: q
     422: q
     423: q
     424: q
     425: q^2+q
     426: q
     427: q^2+q
     428: q^2+q
     429: q
     430: q^2+q
     431: q
     436: q^2+q
     442: q
     444: q
     446: q
     448: q
     450: q
     452: q
     454: q^2+q
     456: q
     458: q
     460: q
     462: q^2+q
     464: q^2+q
     466: q
     468: q
     470: q
     472: q^2+q
     474: q
     476: q
     478: q
     480: q^2+q
     482: q^2+q
     484: q
     486: q^2+q
     488: q
     489: q^2+q
     491: q
     493: q^2+q
     495: q
     497: q
     498: q
     509: q^2+q
     510: q
     511: q
     512: q
     514: q
     515: q^2+q
     516: q
     517: q
     518: q
     520: q
     521: q
     522: q
     523: q
     524: q
     529: q^2+q
     535: q
     537: q
     539: q
     541: q
     547: q
     549: q^2+q
     551: q
     553: q
     555: q
     557: q
     561: q^2+q
     563: q
     565: q
     567: q
     569: q
     573: q
     575: q^2+q
     577: q^2+q
     579: q
     581: q
     583: q
     596: q
     600: q
     601: q
     604: q
     605: q
     607: q
     608: q
     609: q
     610: q
     615: q^2+q
     629: q
     637: q
     639: q
     643: q
     645: q
     647: q
     653: q
     655: q
     657: q
     663: q
     665: q
     667: q
     669: q
     671: q
     685: q
     689: q
     692: q
     693: q
     695: q
     715: 1
     721: q
     729: q
     737: q
     739: q
     743: q
     747: q
     749: q
     756: q
     761: 1
     771: q
     783: 1
     793: q
     801: 1
     812: 1
     818: 1
     822: 1
     840: 1
     846: 1
     852: 1
     860: 1
     869: 1

870:   0: 4q^3+5q^2+2q
       1: q^4+3q^3+4q^2+2q
       2: 4q^3+5q^2+2q
       3: q^4+3q^3+4q^2+2q
       4: 4q^3+5q^2+2q
       5: q^4+3q^3+4q^2+2q
       6: 3q^3+3q^2+2q
       7: q^4+3q^3+4q^2+2q
       8: 4q^3+5q^2+2q
       9: 3q^3+3q^2+2q
      10: q^4+3q^3+4q^2+2q
      11: 3q^3+3q^2+2q
      12: 2q^4+4q^3+4q^2+2q
      13: 3q^3+3q^2+2q
      14: q^4+2q^3+2q^2+q
      15: q^4+3q^3+4q^2+2q
      16: 3q^3+3q^2+2q
      17: q^4+3q^3+4q^2+2q
      18: 3q^3+3q^2+2q
      19: 2q^3+4q^2+2q
      20: 2q^3+3q^2+2q
      21: 2q^3+4q^2+2q
      22: 2q^3+2q^2+q
      23: 4q^3+5q^2+2q
      24: 4q^3+5q^2+2q
      25: 3q^3+3q^2+2q
      26: 3q^3+3q^2+2q
      27: 2q^3+4q^2+2q
      28: 2q^3+3q^2+2q
      29: 2q^3+3q^2+2q
      30: 3q^3+4q^2+2q
      31: 4q^3+5q^2+2q
      32: q^4+3q^3+4q^2+2q
      33: 4q^3+5q^2+2q
      34: q^4+3q^3+4q^2+2q
      35: 4q^3+5q^2+2q
      36: q^4+3q^3+4q^2+2q
      37: 4q^3+5q^2+2q
      38: q^4+3q^3+4q^2+2q
      39: 3q^3+3q^2+2q
      40: 2q^3+3q^2+2q
      41: q^3+3q^2+2q
      42: q^4+3q^3+4q^2+2q
      43: 2q^3+4q^2+2q
      44: 4q^3+5q^2+2q
      45: q^4+3q^3+4q^2+2q
      46: 2q^3+4q^2+2q
      47: 4q^3+5q^2+2q
      48: 2q^3+3q^2+q
      49: 2q^3+2q^2+q
      50: q^4+2q^3+2q^2+q
      51: q^3+2q^2+q
      52: 2q^3+3q^2+q
      53: 2q^3+2q^2+q
      54: q^4+2q^3+2q^2+q
      55: q^3+2q^2+q
      56: 2q^3+4q^2+2q
      57: 2q^3+3q^2+2q
      58: 2q^3+4q^2+2q
      59: 2q^3+2q^2+q
      60: 2q^3+4q^2+2q
      61: 2q^3+4q^2+2q
      62: 2q^3+3q^2+2q
      63: 2q^3+2q^2+q
      64: 2q^3+4q^2+2q
      65: 2q^3+3q^2+2q
      66: 3q^3+4q^2+2q
      67: 2q^3+3q^2+2q
      68: 2q^3+4q^2+2q
      69: 2q^3+3q^2+2q
      70: 3q^3+4q^2+2q
      71: 2q^3+3q^2+2q
      72: 2q^3+4q^2+2q
      73: 2q^3+3q^2+2q
      74: 3q^3+4q^2+2q
      75: 2q^3+3q^2+2q
      76: q^4+2q^3+2q^2+q
      77: q^3+2q^2+q
      78: q^3+2q^2+q
      79: q^3+2q^2+q
      80: 2q^3+3q^2+q
      81: 2q^3+2q^2+q
      82: q^3+2q^2+q
      83: q^3+3q^2+2q
      84: q^3+3q^2+2q
      85: 2q^3+3q^2+2q
      86: q^3+3q^2+2q
      87: q^3+3q^2+2q
      88: q^3+2q^2+q
      89: q^2+q
      90: 2q^3+q^2+q
      91: q^2+q
      92: q^3+2q^2+q
      93: q^3+q^2+q
      94: 2q^3+q^2+q
      95: q^2+q
      96: 2q^3+4q^2+2q
      97: 2q^3+4q^2+2q
      98: 2q^3+3q^2+2q
      99: q^3+3q^2+2q
     100: 2q^3+4q^2+2q
     101: 2q^3+4q^2+2q
     102: 2q^3+3q^2+2q
     103: q^3+3q^2+2q
     104: 2q^3+4q^2+2q
     105: 2q^3+4q^2+2q
     106: 2q^3+3q^2+2q
     107: 2q^3+2q^2+q
     108: 3q^2+2q
     109: 3q^2+2q
     110: q^3+3q^2+2q
     111: q^3+2q^2+q
     112: 2q^3+4q^2+2q
     113: 2q^3+3q^2+2q
     114: 3q^3+4q^2+2q
     115: 2q^3+3q^2+2q
     116: 2q^3+4q^2+2q
     117: 2q^3+3q^2+2q
     118: 3q^3+4q^2+2q
     119: 2q^3+3q^2+2q
     120: 2q^3+4q^2+2q
     121: 2q^3+3q^2+2q
     122: 3q^3+4q^2+2q
     123: 2q^3+3q^2+2q
     124: q^2+q
     125: q^2+q
     126: 2q^3+q^2+q
     127: q^2+q
     128: q^3+q^2+q
     129: q^2+q
     130: q^3+2q^2+q
     131: q^3+2q^2+q
     132: q^3+2q^2+q
     133: q^3+2q^2+q
     134: q^3+2q^2+q
     135: q^3+3q^2+2q
     136: q^3+2q^2+q
     137: q^2+q
     138: 2q^3+q^2+q
     139: q^2+q
     140: q^3+2q^2+q
     141: q^3+q^2+q
     142: 2q^3+q^2+q
     143: q^2+q
     144: 2q^2+q
     145: 3q^2+2q
     146: 2q^2+2q
     147: 2q^2+2q
     148: 2q^3+4q^2+2q
     149: q^3+3q^2+2q
     150: 2q^3+3q^2+2q
     151: q^3+3q^2+2q
     152: q^3+3q^2+2q
     153: q^3+3q^2+2q
     154: 2q^3+4q^2+2q
     155: q^3+3q^2+2q
     156: 2q^3+3q^2+2q
     157: q^3+3q^2+2q
     158: q^3+3q^2+2q
     159: q^3+3q^2+2q
     160: 2q^3+3q^2+2q
     161: q^3+3q^2+2q
     162: q^3+2q^2+q
     163: q^2+q
     164: 2q^3+q^2+q
     165: q^2+q
     166: q^3+2q^2+q
     167: q^3+q^2+q
     168: 2q^3+q^2+q
     169: q^2+q
     170: 3q^2+2q
     171: 3q^2+2q
     172: q^3+3q^2+2q
     173: q^3+2q^2+q
     174: 3q^2+2q
     175: 3q^2+2q
     176: q^3+3q^2+2q
     177: q^3+2q^2+q
     178: 3q^2+2q
     179: 3q^2+2q
     180: q^3+3q^2+2q
     181: q^3+2q^2+q
     182: 2q^3+4q^2+2q
     183: 2q^3+3q^2+2q
     184: 3q^3+4q^2+2q
     185: 2q^3+3q^2+2q
     186: q^3+q^2+q
     187: q^2+q
     188: 2q^3+q^2+q
     189: q^2+q
     190: q^2+q
     191: q^2+q
     192: q
     193: q^2+q
     194: q^3+q^2+q
     195: q^2+q
     196: q^2+q
     197: q^2+q
     198: q^2+q
     199: q^2+q
     200: q^3+2q^2+q
     201: q^3+2q^2+q
     202: 2q^3+q^2+q
     203: q^2+q
     204: q^3+q^2+q
     205: q^2+q
     206: q^2+q
     208: q^2+q
     210: q^2+q
     212: q^3+q^2
     214: 2q^2+q
     215: 2q^2+q
     216: 3q^2+2q
     217: 2q^2+2q
     218: 2q^2+2q
     219: 2q^2+2q
     220: 2q^2+2q
     221: q^3+3q^2+2q
     222: 2q^2+q
     223: 3q^2+2q
     224: 2q^2+2q
     225: 2q^2+2q
     226: q^3+3q^2+2q
     227: 2q^2+q
     228: 3q^2+2q
     229: 2q^2+2q
     230: 2q^2+2q
     231: q^3+3q^2+2q
     232: q^3+2q^2+q
     233: q^2+q
     234: 2q^3+q^2+q
     235: q^2+q
     236: q^3+2q^2+q
     237: q^3+q^2+q
     238: 2q^3+q^2+q
     239: q^2+q
     240: 2q^3+3q^2+2q
     241: q^3+3q^2+2q
     242: q^3+3q^2+2q
     243: q^3+3q^2+2q
     244: 3q^2+3q
     245: q^3+q^2+2q
     246: 3q^2+3q
     247: q^3+q^2+2q
     248: 3q^2+2q
     249: 3q^2+2q
     250: q^3+3q^2+2q
     251: q^3+2q^2+q
     252: 3q^2+2q
     253: 3q^2+2q
     254: q^3+3q^2+2q
     255: q^3+2q^2+q
     256: 3q^2+2q
     257: 3q^2+2q
     258: q^3+3q^2+2q
     259: q^3+2q^2+q
     260: q^2
     262: q^2+q
     264: q^3+q^2+q
     265: q^2+q
     266: q
     268: q
     269: q^2+q
     270: q
     271: q^2+q
     272: q^2+q
     273: q^2+q
     274: q
     275: q^2+q
     276: q^2+q
     277: q^2+q
     278: q
     279: q^2+q
     280: q^3+q^2+q
     281: q^2+q
     282: 2q^3+q^2+q
     283: q^2+q
     284: q^2+q
     285: q^2+q
     286: q^3+q^2+q
     287: q^2+q
     288: q^2+q
     290: q^2+q
     292: q^2+q
     294: q^3+q^2
     296: 2q^2+q
     297: 2q^2+2q
     298: 2q^2+2q
     299: 2q
     300: q^3+q^2+2q
     301: 2q^2+2q
     302: q^2+q
     303: q^3+q^2+q
     304: q
     305: 2q^2+2q
     306: q^2+q
     307: q^3+q^2+q
     308: q
     309: 2q^2+q
     310: 2q^2+q
     311: 3q^2+2q
     312: 2q^2+2q
     313: 2q^2+2q
     314: 2q^2+2q
     315: 2q^2+2q
     316: 3q^2+3q
     317: 2q^2+q
     318: 2q^2+q
     319: 3q^2+2q
     320: 2q^2+2q
     321: 2q^2+2q
     322: 2q^2+2q
     323: 2q^2+2q
     324: 3q^2+3q
     325: q^2+q
     327: q^2+q
     329: q^2+q
     331: q^3+q^2
     333: q^3+3q^2+2q
     334: 2q^2+q
     335: 3q^2+2q
     336: 2q^2+2q
     337: 2q^2+2q
     338: q^2+3q
     339: q^2+2q
     340: q^2+3q
     341: q^2+q
     342: 3q^2+2q
     343: 3q^2+2q
     344: q^3+3q^2+2q
     345: q^3+2q^2+q
     346: q^2
     348: q^2+q
     350: q^2
     352: q
     354: q
     356: q
     357: q^2+q
     358: q
     359: q
     360: q^3+q^2+q
     361: q
     362: q
     363: q^2+q
     364: q
     366: q
     367: q^2+q
     368: 2q^2+2q
     369: q^2+q
     370: q
     371: q^2+q
     372: q
     374: q
     375: q^2+q
     376: 2q^2+2q
     377: q^2+q
     378: q^2
     380: q^2+q
     382: q^3+q^2+q
     383: q^2+q
     384: q
     385: q^2+q
     386: q^2+q
     387: q^2+q
     388: q^2+q
     389: 2q^2+2q
     390: q^2+q
     391: q^2+q
     392: 2q
     393: q^2+q
     394: 2q
     396: q^2+q
     398: 2q
     400: q^2
     402: 2q
     403: 2q^2+q
     404: 2q^2+2q
     405: 2q^2+2q
     406: 2q
     407: q^2+3q
     408: 2q^2+q
     409: 2q^2+2q
     410: 2q^2+2q
     411: 2q
     412: q^2+3q
     413: q^2+q
     415: q^2+q
     417: q^2+q
     419: q^3+q^2
     421: 2q^2+q
     422: 2q^2+q
     423: 3q^2+2q
     424: 2q^2+2q
     425: 2q^2+2q
     426: 2q^2+2q
     427: 2q^2+2q
     428: q^2+3q
     429: q^2+2q
     430: q^2+3q
     431: q^2+q
     432: q^2+3q
     433: q^2+2q
     434: q^2+3q
     435: q^2+q
     436: q^2+q
     439: q^2+q
     440: q^2+q
     442: q^2
     446: q
     448: q
     450: q
     451: q
     452: q^2
     454: q
     456: q
     457: q^2+q
     458: q
     460: q
     461: q
     462: 2q
     464: q
     466: q
     467: q^2+q
     468: q
     470: q
     471: q
     472: 2q
     474: q^2
     476: q^2+q
     478: q^2
     480: q
     481: q^2+q
     482: q
     484: q
     485: q^2+q
     486: q
     487: q^2+2q
     488: q^2+q
     489: 2q
     491: q^2+q
     493: 2q
     495: q^2
     497: 2q
     498: q
     499: 2q
     501: q^2+q
     503: 2q
     505: q^2
     507: q^2+q
     508: 2q
     509: q^2+3q
     510: q^2+q
     511: q^2+q
     512: 2q
     513: q^2+3q
     514: 2q
     515: q^2+3q
     516: q^2+q
     517: q^2+q
     518: 2q
     519: q^2+3q
     520: 2q
     521: 2q^2+q
     522: 2q^2+2q
     523: 2q^2+2q
     524: 2q
     525: q^2+3q
     526: q^2+2q
     527: q^2+3q
     528: q^2+q
     529: q
     532: q
     535: q^2
     539: q
     543: q
     545: q^2
     548: q
     549: 2q
     553: q
     555: q
     557: q
     558: q
     559: 2q
     561: 2q
     565: q
     567: q
     569: q
     570: q
     571: 2q
     573: q^2
     575: q
     576: q^2+2q
     577: q
     579: q
     580: q^2+q
     581: q
     583: q
     584: q
     585: q
     586: q^2+2q
     587: 2q
     589: q^2+q
     591: 2q
     593: q^2
     595: q^2+q
     596: q
     597: 2q
     598: q
     599: q^2+3q
     600: 2q
     601: q
     602: 2q
     603: q^2+3q
     604: 2q
     605: q
     606: 2q
     607: q^2+q
     608: q^2+q
     609: 2q
     610: 2q
     611: q+1
     612: 1
     613: q+1
     614: 1
     615: q
     618: q
     621: q
     624: q
     627: q^2
     631: q
     636: q
     640: q
     641: 2q
     645: q
     649: q
     651: 2q
     655: q
     659: q
     661: q
     662: q^2+2q
     665: q
     667: q
     669: q
     670: q
     672: q
     673: q+1
     675: 1
     677: q+1
     679: 1
     681: 1
     682: 1
     683: q
     684: q+1
     685: q
     686: 2q
     687: q
     688: q+1
     689: q
     690: 2q
     691: q
     692: q
     693: 2q
     694: 2q
     701: q
     704: q
     707: 1
     709: 1
     718: q
     719: q+1
     723: q
     727: q+1
     731: q
     736: q+1
     741: q
     743: q
     746: q
     750: q
     751: 1
     752: q
     753: 1
     754: q
     755: 1
     756: q
     757: 2q
     758: q
     768: q+1
     779: 1
     782: 1
     787: 1
     791: 1
     797: q
     804: q
     806: 1
     807: 1
     808: q
     809: 1
     813: 1
     825: 1
     828: 1
     830: 1
     836: 1
     839: 1
     843: 1
     847: 1
     853: 1
     863: 1
     864: 1
     870: 1

871:   0: q^2+q+1
       1: q^2+q+1
       2: q^2+q+1
       3: q+1
       4: q^2+q+1
       5: q^2+q+1
       6: q+1
       7: q^2+q+1
       8: q^2+q+1
       9: q+1
      10: q^2+q+1
      11: q+1
      12: q^3+q^2+q+1
      13: q+1
      14: q+1
      15: q^2+q+1
      16: q+1
      17: q^2+q+1
      18: q+1
      19: q^2+q+1
      20: q+1
      21: q^2+q+1
      22: q+1
      23: q^2+q+1
      24: q^2+q+1
      25: q+1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      30: q^2+q+1
      31: q^2+q+1
      32: q^2+q+1
      33: q^2+q+1
      34: q^2+q+1
      35: q^2+q+1
      36: q^2+q+1
      37: q^2+q+1
      38: q^2+q+1
      39: q+1
      40: q+1
      41: q+1
      42: q^2+q+1
      43: q^2+q+1
      44: q^2+q+1
      45: q^2+q+1
      46: q^2+q+1
      47: q^2+q+1
      49: q^2+q+1
      51: q^2+q+1
      53: q^2+q+1
      55: q^2+q+1
      56: q^2+q+1
      57: q+1
      58: q^2+q+1
      59: q+1
      60: q^2+q+1
      61: q^2+q+1
      62: q+1
      63: q+1
      64: q+1
      65: q+1
      66: q^2+q+1
      67: q+1
      68: q+1
      69: q+1
      70: q^2+q+1
      71: q+1
      72: q+1
      73: q+1
      74: q^2+q+1
      75: q+1
      77: q^2+q+1
      79: q^2+q+1
      81: q^2+q+1
      82: q+1
      83: q+1
      84: q+1
      85: q+1
      86: q+1
      87: q+1
      89: q+1
      91: q+1
      93: q^2+q+1
      95: q+1
      96: q^2+q+1
      97: q^2+q+1
      98: q+1
      99: q+1
     100: q^2+q+1
     101: q^2+q+1
     102: q+1
     103: q+1
     104: q^2+q+1
     105: q^2+q+1
     106: q+1
     107: q+1
     108: q+1
     109: q+1
     110: q^2+q+1
     111: q+1
     112: q+1
     113: q+1
     114: q^2+q+1
     115: q+1
     116: q+1
     117: q+1
     118: q^2+q+1
     119: q+1
     120: q+1
     121: q+1
     122: q^2+q+1
     123: q+1
     125: q+1
     127: q+1
     129: q+1
     131: q^2+q+1
     133: q^2+q+1
     134: q+1
     135: q+1
     137: q+1
     139: q+1
     141: q^2+q+1
     143: q+1
     144: q+1
     145: q+1
     146: q+1
     147: q+1
     148: q^2+q+1
     149: q+1
     150: q+1
     151: q+1
     152: q+1
     153: q+1
     154: q^2+q+1
     155: q+1
     156: q+1
     157: q+1
     158: q+1
     159: q+1
     160: q+1
     161: q+1
     163: q+1
     165: q+1
     167: q^2+q+1
     169: q+1
     170: q+1
     171: q+1
     172: q^2+q+1
     173: q+1
     174: q+1
     175: q+1
     176: q^2+q+1
     177: q+1
     178: q+1
     179: q+1
     180: q^2+q+1
     181: q+1
     182: q+1
     183: q+1
     184: q^2+q+1
     185: q+1
     187: q+1
     189: q+1
     191: q+1
     193: q+1
     195: q+1
     197: q+1
     199: q+1
     201: q^2+q+1
     203: q+1
     205: q+1
     207: q+1
     209: q+1
     211: q^2+q+1
     213: q+1
     214: q+1
     215: q+1
     216: q+1
     217: q+1
     218: q+1
     219: q+1
     220: q+1
     221: q+1
     222: q+1
     223: q+1
     224: q+1
     225: q+1
     226: q+1
     227: q+1
     228: q+1
     229: q+1
     230: q+1
     231: q+1
     233: q+1
     235: q+1
     237: q^2+q+1
     239: q+1
     240: q+1
     241: q+1
     242: q+1
     243: q+1
     244: q+1
     245: 1
     246: q+1
     247: 1
     248: q+1
     249: q+1
     250: q^2+q+1
     251: q+1
     252: q+1
     253: q+1
     254: q^2+q+1
     255: q+1
     256: q+1
     257: q+1
     258: q^2+q+1
     259: q+1
     261: q+1
     263: q+1
     265: q+1
     267: q+1
     269: q+1
     271: q+1
     273: q+1
     275: q+1
     277: q+1
     279: q+1
     281: q+1
     283: q+1
     285: q+1
     287: q+1
     289: q+1
     291: q+1
     293: q^2+q+1
     295: q+1
     296: q+1
     297: q+1
     298: q+1
     299: 1
     300: 1
     302: q+1
     304: 1
     306: q+1
     308: 1
     309: q+1
     310: q+1
     311: q+1
     312: q+1
     313: q+1
     314: q+1
     315: q+1
     316: q+1
     317: q+1
     318: q+1
     319: q+1
     320: q+1
     321: q+1
     322: q+1
     323: q+1
     324: q+1
     326: q+1
     328: q+1
     330: q^2+q+1
     332: q+1
     333: q+1
     334: q+1
     335: q+1
     336: q+1
     337: q+1
     338: q+1
     339: 1
     340: q+1
     341: 1
     342: q+1
     343: q+1
     344: q^2+q+1
     345: q+1
     347: q+1
     349: q+1
     351: q+1
     353: q+1
     355: q+1
     357: q+1
     359: 1
     361: 1
     363: q+1
     365: q+1
     367: q+1
     369: q+1
     371: q+1
     373: q+1
     375: q+1
     377: q+1
     379: q+1
     381: q+1
     383: q+1
     385: q+1
     387: q+1
     389: q+1
     390: q+1
     391: q+1
     392: 1
     393: 1
     395: q+1
     397: 1
     399: q+1
     401: 1
     402: 1
     403: q+1
     404: q+1
     405: q+1
     406: 1
     407: q+1
     408: q+1
     409: q+1
     410: q+1
     411: 1
     412: q+1
     414: q+1
     416: q+1
     418: q^2+q+1
     420: q+1
     421: q+1
     422: q+1
     423: q+1
     424: q+1
     425: q+1
     426: q+1
     427: q+1
     428: q+1
     429: 1
     430: q+1
     431: 1
     432: q+1
     433: 1
     434: q+1
     435: 1
     440: q+1
     443: q+1
     445: q+1
     447: q+1
     449: 1
     451: 1
     453: 1
     455: q+1
     457: q+1
     459: q+1
     461: 1
     463: q+1
     465: q+1
     467: q+1
     469: q+1
     471: 1
     473: q+1
     475: q+1
     477: q+1
     479: q+1
     481: q+1
     483: q+1
     485: q+1
     487: q+1
     488: 1
     490: q+1
     492: 1
     494: q+1
     496: 1
     497: 1
     498: 1
     500: q+1
     502: 1
     504: q+1
     506: 1
     507: 1
     508: 1
     509: q+1
     510: q+1
     511: q+1
     512: 1
     513: q+1
     514: 1
     515: q+1
     516: q+1
     517: q+1
     518: 1
     519: q+1
     520: 1
     521: q+1
     522: q+1
     523: q+1
     524: 1
     525: q+1
     526: 1
     527: q+1
     528: 1
     533: q+1
     536: 1
     538: q+1
     540: 1
     542: 1
     544: 1
     546: 1
     548: 1
     550: q+1
     552: q+1
     554: q+1
     556: 1
     558: 1
     560: q+1
     562: q+1
     564: q+1
     566: q+1
     568: 1
     570: 1
     572: q+1
     574: q+1
     576: q+1
     578: q+1
     580: q+1
     582: q+1
     584: 1
     586: q+1
     588: q+1
     590: 1
     592: q+1
     594: 1
     595: 1
     596: 1
     597: 1
     598: 1
     599: q+1
     600: 1
     601: 1
     602: 1
     603: q+1
     604: 1
     605: 1
     606: 1
     607: q+1
     608: q+1
     609: 1
     610: 1
     611: q+1
     612: 1
     613: q+1
     614: 1
     619: q+1
     625: q+1
     628: 1
     630: 1
     632: 1
     634: 1
     636: 1
     638: 1
     640: 1
     642: q+1
     644: q+1
     646: 1
     648: 1
     650: 1
     652: q+1
     654: q+1
     656: 1
     658: 1
     660: 1
     662: q+1
     664: q+1
     666: q+1
     668: 1
     670: 1
     672: 1
     674: q+1
     676: 1
     678: q+1
     680: 1
     681: 1
     682: 1
     683: 1
     684: q+1
     685: 1
     686: 1
     687: 1
     688: q+1
     689: 1
     690: 1
     691: 1
     692: 1
     693: 1
     694: 1
     699: 1
     705: q+1
     708: 1
     710: 1
     712: 1
     714: 1
     716: 1
     718: 1
     720: q+1
     722: 1
     724: 1
     726: 1
     728: q+1
     730: 1
     732: 1
     734: 1
     736: q+1
     738: q+1
     740: 1
     742: 1
     744: 1
     746: 1
     748: 1
     750: 1
     751: 1
     752: 1
     753: 1
     754: 1
     755: 1
     756: 1
     757: 1
     758: 1
     763: 1
     769: q+1
     775: 1
     778: 1
     780: 1
     782: 1
     784: 1
     786: 1
     788: 1
     790: 1
     792: 1
     794: 1
     796: 1
     798: 1
     800: 1
     802: 1
     804: 1
     806: 1
     807: 1
     808: 1
     809: 1
     814: 1
     820: 1
     823: 1
     825: 1
     829: 1
     831: 1
     833: 1
     835: 1
     837: 1
     839: 1
     841: 1
     843: 1
     848: 1
     854: 1
     861: 1
     863: 1
     865: 1
     871: 1

872:   0: q^3+q^2+q
       1: q^3+q^2+q
       2: q^3+q^2+q
       3: q^2+q
       4: q^3+q^2+q
       5: q
       6: q^2+q
       7: q^3+q^2+q
       8: q^3+q^2+q
       9: q^6+q
      10: q
      11: q^2+q
      12: q^4+q^3+q^2+q
      13: q^6+q
      14: q^6+q
      15: q
      16: q
      17: q
      18: q
      19: q^3+q^2+q
      20: q^2+q
      21: q^3+q^2+q
      22: q^6+q
      23: q^3+q^2+q
      24: q^3+q^2+q
      25: q^2+q
      26: q^6+q
      27: q^2+q
      28: q^2+q
      29: q
      30: q^3+q^2+q
      31: q^3+q^2+q
      32: q^3+q^2+q
      33: q^3+q^2+q
      34: q
      35: q^3+q^2+q
      36: q^3+q^2+q
      37: q^3+q^2+q
      38: q
      39: q
      40: q
      41: q^2+q
      42: q
      43: q^3+q^2+q
      44: q^3+q^2+q
      45: q
      46: q^3+q^2+q
      47: q^3+q^2+q
      49: q^3+q^2+q
      51: q^3+q^2+q
      53: q^3+q^2+q
      55: q
      56: q
      57: q
      58: q
      59: q
      60: q^3+q^2+q
      61: q^3+q^2+q
      62: q^2+q
      63: q^6+q
      64: q^2+q
      65: q^2+q
      66: q^3+q^2+q
      67: q
      68: q^2+q
      69: q^2+q
      70: q^3+q^2+q
      71: q
      72: q^2+q
      73: q^2+q
      74: q^3+q^2+q
      75: q
      77: q
      79: q^3+q^2+q
      81: q^3+q^2+q
      82: q
      83: q^2+q
      84: q
      85: q
      86: q^2+q
      87: q^2+q
      89: q^2+q
      91: q^2+q
      93: q^3+q^2+q
      95: q
      96: q
      97: q^3+q^2+q
      98: q
      99: q^2+q
     100: q
     101: q^3+q^2+q
     102: q
     103: q^2+q
     104: q
     105: q
     106: q
     107: q
     108: q^2+q
     109: q^2+q
     110: q^3+q^2+q
     111: q
     112: q^2+q
     113: q^2+q
     114: q^3+q^2+q
     115: q
     116: q^2+q
     117: q^2+q
     118: q^3+q^2+q
     119: q
     120: q^2+q
     121: q^2+q
     122: q^3+q^2+q
     123: q
     125: q^2+q
     127: q
     129: q^2+q
     131: q
     133: q^3+q^2+q
     134: q
     135: q
     137: q^2+q
     139: q^2+q
     141: q^3+q^2+q
     143: q
     144: q
     145: q^2+q
     146: q^2+q
     147: q^2+q
     148: q
     149: q^2+q
     150: q
     151: q^2+q
     152: q
     153: q^2+q
     154: q
     155: q^2+q
     156: q
     157: q
     158: q^2+q
     159: q^2+q
     160: q
     161: q^2+q
     163: q^2+q
     165: q^2+q
     167: q^3+q^2+q
     169: q
     170: q
     171: q
     172: q
     173: q
     174: q^2+q
     175: q^2+q
     176: q^3+q^2+q
     177: q
     178: q^2+q
     179: q^2+q
     180: q^3+q^2+q
     181: q
     182: q^2+q
     183: q^2+q
     184: q^3+q^2+q
     185: q
     187: q^2+q
     189: q
     191: q^2+q
     193: q^2+q
     195: q
     197: q^2+q
     199: q^2+q
     201: q
     203: q
     205: q^2+q
     207: q^2+q
     209: q^2+q
     211: q^3+q^2+q
     213: q
     214: q
     215: q
     216: q
     217: q
     218: q^2+q
     219: q
     220: q^2+q
     221: q
     222: q
     223: q^2+q
     224: q^2+q
     225: q^2+q
     226: q
     227: q
     228: q^2+q
     229: q^2+q
     230: q^2+q
     231: q^2+q
     233: q^2+q
     235: q^2+q
     237: q^3+q^2+q
     239: q
     240: q
     241: q^2+q
     242: q^2+q
     243: q
     244: q^2+q
     245: q
     246: q^2+q
     247: q
     248: q
     249: q
     250: q
     251: q
     252: q
     253: q
     254: q
     255: q
     256: q^2+q
     257: q^2+q
     258: q^3+q^2+q
     259: q
     261: q
     263: q^2+q
     265: q
     267: q^2+q
     269: q^2+q
     271: q
     273: q^2+q
     275: q^2+q
     277: q^2+q
     279: q^2+q
     281: q^2+q
     283: q
     285: q^2+q
     287: q
     289: q
     291: q
     293: q
     295: q
     296: q
     297: q
     298: q
     299: q
     300: q
     302: q^2+q
     304: q
     306: q^2+q
     308: q
     309: q
     310: q
     311: q
     312: q
     313: q^2+q
     314: q
     315: q^2+q
     316: q^2+q
     317: q
     318: q
     319: q
     320: q
     321: q^2+q
     322: q
     323: q^2+q
     324: q^2+q
     326: q^2+q
     328: q^2+q
     330: q^3+q^2+q
     332: q
     333: q
     334: q
     335: q^2+q
     336: q^2+q
     337: q^2+q
     338: q^2+q
     339: q
     340: q^2+q
     341: q
     342: q
     343: q
     344: q
     345: q
     347: q
     349: q
     351: q
     353: q
     355: q^2+q
     357: q
     359: q
     361: q
     363: q^2+q
     365: q^2+q
     367: q
     369: q^2+q
     371: q^2+q
     373: q^2+q
     375: q
     377: q^2+q
     379: q
     381: q^2+q
     383: q
     385: q^2+q
     387: q^2+q
     389: q^2+q
     390: q
     391: q
     392: q
     393: q
     395: q^2+q
     397: q
     399: q^2+q
     401: q
     402: q
     403: q
     404: q
     405: q
     406: q
     407: q^2+q
     408: q
     409: q
     410: q
     411: q
     412: q^2+q
     414: q
     416: q
     418: q
     420: q
     421: q
     422: q
     423: q
     424: q
     425: q^2+q
     426: q
     427: q^2+q
     428: q^2+q
     429: q
     430: q^2+q
     431: q
     440: q^2+q
     443: q
     445: q
     447: q
     449: q
     451: q
     453: q
     455: q^2+q
     457: q
     459: q
     461: q
     463: q^2+q
     465: q^2+q
     467: q
     469: q
     471: q
     473: q^2+q
     475: q
     477: q
     479: q
     481: q^2+q
     483: q^2+q
     485: q
     487: q^2+q
     488: q
     490: q^2+q
     492: q
     494: q^2+q
     496: q
     497: q
     498: q
     509: q^2+q
     510: q
     511: q
     512: q
     514: q
     515: q^2+q
     516: q
     517: q
     518: q
     520: q
     521: q
     522: q
     523: q
     524: q
     533: q^2+q
     536: q
     538: q
     540: q
     542: q
     548: q
     550: q^2+q
     552: q
     554: q
     556: q
     558: q
     562: q^2+q
     564: q
     566: q
     568: q
     570: q
     574: q
     576: q^2+q
     578: q^2+q
     580: q
     582: q
     584: q
     596: q
     600: q
     601: q
     604: q
     605: q
     607: q
     608: q
     609: q
     610: q
     619: q^2+q
     630: q
     638: q
     640: q
     644: q
     646: q
     648: q
     654: q
     656: q
     658: q
     664: q
     666: q
     668: q
     670: q
     672: q
     685: q
     689: q
     692: q
     693: q
     699: q
     716: 1
     722: q
     730: q
     738: q
     740: q
     744: q
     748: q
     750: q
     756: q
     764: 1
     775: q
     784: 1
     794: q
     802: 1
     815: 1
     821: 1
     823: 1
     841: 1
     849: 1
     855: 1
     861: 1
     872: 1

873:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: q^2+2q+1
       6: q^2+2q+1
       7: q^2+2q+1
       8: q^2+2q+1
       9: q^2+2q+1
      10: q^2+2q+1
      11: q^3+q^2+q+1
      12: q^2+2q+1
      13: q^3+q^2+q+1
      14: q^3+q^2+q+1
      15: q^2+2q+1
      16: q^2+2q+1
      17: q^2+2q+1
      18: q^3+q^2+q+1
      19: q^2+2q+1
      20: q^2+2q+1
      21: q^2+2q+1
      22: q^3+q^2+q+1
      23: 2q+1
      24: 2q+1
      25: q^2+q+1
      26: q^2+q+1
      27: q^2+2q+1
      28: q^2+2q+1
      29: q^2+2q+1
      30: q^2+2q+1
      31: q^2+2q+1
      32: q^2+2q+1
      33: q^2+2q+1
      34: q^2+2q+1
      35: q^2+2q+1
      36: q^2+2q+1
      37: q^2+2q+1
      38: q^2+2q+1
      39: q^2+q+1
      40: q^2+2q+1
      41: q^2+2q+1
      42: q^2+2q+1
      43: q^2+2q+1
      44: 2q+1
      45: q^2+2q+1
      46: q^2+2q+1
      47: 2q+1
      48: q^2+q+1
      49: q
      50: q^2+q+1
      51: q
      52: q^2+q+1
      53: q
      54: q^2+q+1
      55: q
      56: q^2+2q+1
      57: q^2+2q+1
      58: q^2+2q+1
      59: q^3+q^2+q+1
      60: 2q+1
      61: 2q+1
      62: q^2+q+1
      63: q^2+q+1
      64: 2q+1
      65: q^2+q+1
      66: 2q+1
      67: q^2+q+1
      68: q^2+2q+1
      69: q^2+2q+1
      70: q^2+2q+1
      71: q^2+2q+1
      72: q^2+2q+1
      73: q^2+2q+1
      74: q^2+2q+1
      75: q^2+2q+1
      76: q^2+q+1
      77: q
      78: q^2+q+1
      79: q
      80: q+1
      81: q
      82: q^2+q+1
      83: q+1
      84: q^2+2q+1
      85: q^2+q+1
      86: 2q+1
      87: 2q+1
      88: q^2+q+1
      89: q
      90: q^2+q+1
      91: q
      92: q^2+q+1
      93: q
      94: q^2+q+1
      95: q
      96: q^2+2q+1
      97: 2q+1
      98: q^2+2q+1
      99: q^2+2q+1
     100: q^2+2q+1
     101: 2q+1
     102: q^2+2q+1
     103: q^2+2q+1
     104: 2q+1
     105: 2q+1
     106: q^2+q+1
     107: q^2+q+1
     108: 2q+1
     109: q^2+q+1
     110: 2q+1
     111: q^2+q+1
     112: 2q+1
     113: q^2+q+1
     114: 2q+1
     115: q^2+q+1
     116: 2q+1
     117: q^2+q+1
     118: 2q+1
     119: q^2+q+1
     120: q^2+2q+1
     121: q^2+2q+1
     122: q^2+2q+1
     123: q^2+2q+1
     124: q+1
     125: q
     126: q^2+q+1
     127: q
     128: q^2+q+1
     129: q
     130: q^2+q+1
     131: q
     132: q+1
     133: q
     134: q^2+q+1
     135: q+1
     136: q+1
     138: q^2+1
     140: q+1
     142: q^2+1
     144: q^2+q+1
     145: q+1
     146: 2q+1
     147: 2q+1
     148: 2q+1
     149: q+1
     150: q^2+q+1
     151: 2q+1
     152: q^2+2q+1
     153: 2q+1
     154: 2q+1
     155: q+1
     156: q^2+q+1
     157: q^2+2q+1
     158: 2q+1
     159: 2q+1
     160: q^2+2q+1
     161: q^2+2q+1
     162: q^2+q+1
     163: q
     164: q^2+q+1
     165: q
     166: q^2+q+1
     167: q
     168: q^2+q+1
     169: q
     170: 2q+1
     171: q^2+q+1
     172: 2q+1
     173: q^2+q+1
     174: 2q+1
     175: q^2+q+1
     176: 2q+1
     177: q^2+q+1
     178: 2q+1
     179: q^2+q+1
     180: 2q+1
     181: q^2+q+1
     182: 2q+1
     183: q^2+q+1
     184: 2q+1
     185: q^2+q+1
     186: 1
     188: q^2+1
     190: q+1
     192: q+1
     193: q
     194: q^2+q+1
     195: q
     196: q+1
     197: q
     198: q+1
     199: q
     200: q+1
     201: q
     202: q^2+q+1
     203: q
     204: q^2+q+1
     205: q
     206: q+1
     208: q^2+1
     210: q+1
     212: q^2+1
     214: q+1
     215: q^2+q+1
     216: q+1
     217: 2q+1
     218: q+1
     219: 2q+1
     220: q+1
     221: q+1
     222: q^2+q+1
     223: q+1
     224: 2q+1
     225: 2q+1
     226: q+1
     227: q^2+q+1
     228: q+1
     229: 2q+1
     230: 2q+1
     231: q+1
     232: q+1
     234: q^2+1
     236: q+1
     238: q^2+1
     240: q^2+q+1
     241: 2q+1
     242: 2q+1
     243: q^2+2q+1
     244: 2q+1
     245: q^2+q+1
     246: 2q+1
     247: q^2+q+1
     248: 2q+1
     249: q^2+q+1
     250: 2q+1
     251: q^2+q+1
     252: 2q+1
     253: q^2+q+1
     254: 2q+1
     255: q^2+q+1
     256: 2q+1
     257: q^2+q+1
     258: 2q+1
     259: q^2+q+1
     260: q^2+1
     262: 1
     264: 1
     266: q+1
     268: 1
     270: q+1
     271: q
     272: q+1
     274: q+1
     275: q
     276: q+1
     278: q+1
     279: q
     280: 1
     282: q^2+1
     284: q+1
     285: q
     286: q^2+q+1
     287: q
     288: q+1
     290: q^2+1
     292: q+1
     294: q^2+1
     296: q+1
     297: q+1
     298: q+1
     299: q+1
     300: q^2+q+1
     301: q+1
     303: q^2+1
     305: q+1
     307: q^2+1
     309: q+1
     310: q^2+q+1
     311: q+1
     312: 2q+1
     313: q+1
     314: 2q+1
     315: q+1
     316: 2q+1
     317: q+1
     318: q^2+q+1
     319: q+1
     320: 2q+1
     321: q+1
     322: 2q+1
     323: q+1
     324: 2q+1
     325: q+1
     327: q^2+1
     329: q+1
     331: q^2+1
     333: q+1
     334: q^2+q+1
     335: q+1
     336: 2q+1
     337: 2q+1
     338: 2q+1
     339: q^2+q+1
     340: 2q+1
     341: q^2+q+1
     342: 2q+1
     343: q^2+q+1
     344: 2q+1
     345: q^2+q+1
     346: q^2+1
     348: 1
     350: 1
     352: q+1
     354: 1
     356: 1
     358: 1
     360: q^2+1
     362: 1
     364: q+1
     366: q+1
     367: q
     368: q+1
     370: 1
     372: q+1
     374: q+1
     375: q
     376: q+1
     378: q^2+1
     380: 1
     382: 1
     384: q+1
     385: q
     386: q+1
     388: q+1
     389: q
     390: q+1
     391: q+1
     392: q+1
     393: q^2+q+1
     394: q+1
     396: q^2+1
     398: q+1
     400: q^2+1
     402: q+1
     403: q+1
     404: q+1
     405: q+1
     406: q+1
     407: 2q+1
     408: q+1
     409: q+1
     410: q+1
     411: q+1
     412: 2q+1
     413: q+1
     415: q^2+1
     417: q+1
     419: q^2+1
     421: q+1
     422: q^2+q+1
     423: q+1
     424: 2q+1
     425: q+1
     426: 2q+1
     427: q+1
     428: 2
     429: 2
     430: 2
     431: q^2+1
     432: 2q+1
     433: q^2+q+1
     434: 2q+1
     435: q^2+q+1
     436: q+1
     442: 1
     444: 1
     446: 1
     448: 1
     450: 1
     452: q^2+1
     454: 1
     456: 1
     458: q+1
     460: 1
     462: q+1
     464: 1
     466: 1
     468: q+1
     470: 1
     472: q+1
     474: q^2+1
     476: 1
     478: 1
     480: 1
     482: q+1
     484: q+1
     485: q
     486: q+1
     487: q
     488: 1
     489: 2
     491: 2
     493: 2
     495: q^2+1
     497: 2
     498: q+1
     499: q+1
     501: q^2+1
     503: q+1
     505: q^2+1
     507: q^2+q+1
     508: q+1
     509: 2
     510: q+1
     511: q+1
     512: q+1
     513: 2q+1
     514: q+1
     515: 2
     516: q+1
     517: q+1
     518: q+1
     519: 2q+1
     520: q+1
     521: q+1
     522: q+1
     523: q+1
     524: q+1
     525: 2
     526: 2
     527: 2
     528: q^2+1
     529: q+1
     535: 1
     537: 1
     539: 2
     541: 1
     543: 1
     545: q^2+1
     547: 1
     549: 2
     551: 1
     553: 1
     555: 1
     557: 1
     559: q+1
     561: 2
     563: 1
     565: 1
     567: 1
     569: 1
     571: q+1
     573: 1
     575: 1
     576: 1
     577: 1
     579: 1
     581: q+1
     583: 1
     585: q+1
     586: q
     587: 2
     589: 2
     591: 2
     593: q^2+1
     595: 1
     596: 1
     597: 2
     598: q+1
     599: 2
     600: 2
     601: q+1
     602: q+1
     603: 2
     604: 2
     605: q+1
     606: q+1
     607: q+1
     608: q+1
     609: q+1
     610: q+1
     611: 2
     612: 2
     613: 2
     614: q^2+1
     615: 1
     618: 1
     621: q+1
     627: 1
     629: 1
     631: 2
     633: 1
     635: 1
     637: 1
     639: 1
     640: 1
     641: 2
     643: 1
     645: 2
     647: 1
     649: 1
     651: 2
     653: 1
     655: 2
     657: 1
     659: 1
     661: 1
     662: 1
     663: 1
     665: 1
     667: 1
     669: 1
     671: 1
     673: 2
     675: 2
     677: 2
     679: q^2+1
     681: 1
     682: 2
     683: 1
     684: 2
     685: 1
     686: 2
     687: q+1
     688: 2
     689: 1
     690: 2
     691: q+1
     692: q+1
     693: 2
     694: q+1
     695: 1
     698: 1
     701: 1
     704: 1
     707: 1
     709: 2
     711: 1
     713: 1
     715: 1
     717: 1
     718: 1
     719: 2
     721: 1
     723: 2
     725: 1
     727: 2
     729: 1
     731: 2
     733: 1
     735: 1
     736: 1
     737: 1
     739: 1
     741: 1
     743: 2
     745: 1
     747: 1
     749: 1
     750: 1
     751: 1
     752: 1
     753: 2
     754: 1
     755: 2
     756: 1
     757: 2
     758: q+1
     759: 1
     762: 1
     765: 1
     768: 1
     771: 1
     774: 1
     779: 1
     781: 1
     782: 1
     783: 1
     785: 1
     787: 2
     789: 1
     791: 2
     793: 1
     795: 1
     797: 2
     799: 1
     801: 1
     803: 1
     804: 1
     805: 1
     806: 1
     807: 1
     808: 1
     809: 2
     810: 1
     813: 1
     816: 1
     819: 1
     826: 1
     828: 1
     830: 1
     834: 1
     836: 2
     838: 1
     839: 1
     840: 1
     842: 1
     843: 1
     850: 1
     853: 1
     856: 1
     864: 1
     866: 1
     873: 1

874:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: q^2+2q+1
       6: q^2+2q+1
       7: q^2+2q+1
       8: q^2+2q+1
       9: q^2+2q+1
      10: q^2+2q+1
      11: q^3+q^2+q+1
      12: q^2+2q+1
      13: q^3+q^2+q+1
      14: q^3+q^2+q+1
      15: q^2+2q+1
      16: q^2+2q+1
      17: q^2+2q+1
      18: q^3+q^2+q+1
      19: q^2+2q+1
      20: q^2+2q+1
      21: q^2+2q+1
      22: q^3+q^2+q+1
      23: 2q+1
      24: 2q+1
      25: q^2+q+1
      26: q^2+q+1
      27: q^2+2q+1
      28: q^2+2q+1
      29: q^2+2q+1
      30: q^2+2q+1
      31: q^2+2q+1
      32: q^2+2q+1
      33: q^2+2q+1
      34: q^2+2q+1
      35: q^2+2q+1
      36: q^2+2q+1
      37: q^2+2q+1
      38: q^2+2q+1
      39: q^2+q+1
      40: q^2+2q+1
      41: q^2+2q+1
      42: q^2+2q+1
      43: q^2+2q+1
      44: 2q+1
      45: q^2+2q+1
      46: q^2+2q+1
      47: 2q+1
      48: q
      49: q^2+q+1
      50: q
      51: q^2+q+1
      52: q
      53: q^2+q+1
      54: q
      55: q^2+q+1
      56: q^2+2q+1
      57: q^2+2q+1
      58: q^2+2q+1
      59: q^3+q^2+q+1
      60: 2q+1
      61: 2q+1
      62: q^2+q+1
      63: q^2+q+1
      64: 2q+1
      65: q^2+q+1
      66: 2q+1
      67: q^2+q+1
      68: q^2+2q+1
      69: q^2+2q+1
      70: q^2+2q+1
      71: q^2+2q+1
      72: q^2+2q+1
      73: q^2+2q+1
      74: q^2+2q+1
      75: q^2+2q+1
      76: q
      77: q^2+q+1
      78: q
      79: q^2+q+1
      80: q
      81: q+1
      82: q^2+q+1
      83: q+1
      84: q^2+2q+1
      85: q^2+q+1
      86: 2q+1
      87: 2q+1
      88: q
      89: q^2+q+1
      90: q
      91: q^2+q+1
      92: q
      93: q^2+q+1
      94: q
      95: q^2+q+1
      96: q^2+2q+1
      97: 2q+1
      98: q^2+2q+1
      99: q^2+2q+1
     100: q^2+2q+1
     101: 2q+1
     102: q^2+2q+1
     103: q^2+2q+1
     104: 2q+1
     105: 2q+1
     106: q^2+q+1
     107: q^2+q+1
     108: 2q+1
     109: q^2+q+1
     110: 2q+1
     111: q^2+q+1
     112: 2q+1
     113: q^2+q+1
     114: 2q+1
     115: q^2+q+1
     116: 2q+1
     117: q^2+q+1
     118: 2q+1
     119: q^2+q+1
     120: q^2+2q+1
     121: q^2+2q+1
     122: q^2+2q+1
     123: q^2+2q+1
     124: q
     125: q+1
     126: q
     127: q^2+q+1
     128: q
     129: q^2+q+1
     130: q
     131: q^2+q+1
     132: q
     133: q+1
     134: q^2+q+1
     135: q+1
     137: q+1
     139: q^2+1
     141: q+1
     143: q^2+1
     144: q^2+q+1
     145: q+1
     146: 2q+1
     147: 2q+1
     148: 2q+1
     149: q+1
     150: q^2+q+1
     151: 2q+1
     152: q^2+2q+1
     153: 2q+1
     154: 2q+1
     155: q+1
     156: q^2+q+1
     157: q^2+2q+1
     158: 2q+1
     159: 2q+1
     160: q^2+2q+1
     161: q^2+2q+1
     162: q
     163: q^2+q+1
     164: q
     165: q^2+q+1
     166: q
     167: q^2+q+1
     168: q
     169: q^2+q+1
     170: 2q+1
     171: q^2+q+1
     172: 2q+1
     173: q^2+q+1
     174: 2q+1
     175: q^2+q+1
     176: 2q+1
     177: q^2+q+1
     178: 2q+1
     179: q^2+q+1
     180: 2q+1
     181: q^2+q+1
     182: 2q+1
     183: q^2+q+1
     184: 2q+1
     185: q^2+q+1
     187: 1
     189: q^2+1
     191: q+1
     192: q
     193: q+1
     194: q
     195: q^2+q+1
     196: q
     197: q+1
     198: q
     199: q+1
     200: q
     201: q+1
     202: q
     203: q^2+q+1
     204: q
     205: q^2+q+1
     207: q+1
     209: q^2+1
     211: q+1
     213: q^2+1
     214: q+1
     215: q^2+q+1
     216: q+1
     217: 2q+1
     218: q+1
     219: 2q+1
     220: q+1
     221: q+1
     222: q^2+q+1
     223: q+1
     224: 2q+1
     225: 2q+1
     226: q+1
     227: q^2+q+1
     228: q+1
     229: 2q+1
     230: 2q+1
     231: q+1
     233: q+1
     235: q^2+1
     237: q+1
     239: q^2+1
     240: q^2+q+1
     241: 2q+1
     242: 2q+1
     243: q^2+2q+1
     244: 2q+1
     245: q^2+q+1
     246: 2q+1
     247: q^2+q+1
     248: 2q+1
     249: q^2+q+1
     250: 2q+1
     251: q^2+q+1
     252: 2q+1
     253: q^2+q+1
     254: 2q+1
     255: q^2+q+1
     256: 2q+1
     257: q^2+q+1
     258: 2q+1
     259: q^2+q+1
     261: q^2+1
     263: 1
     265: 1
     267: q+1
     269: 1
     270: q
     271: q+1
     273: q+1
     274: q
     275: q+1
     277: q+1
     278: q
     279: q+1
     281: 1
     283: q^2+1
     284: q
     285: q+1
     286: q
     287: q^2+q+1
     289: q+1
     291: q^2+1
     293: q+1
     295: q^2+1
     296: q+1
     297: q+1
     298: q+1
     299: q+1
     300: q^2+q+1
     302: q+1
     304: q^2+1
     306: q+1
     308: q^2+1
     309: q+1
     310: q^2+q+1
     311: q+1
     312: 2q+1
     313: q+1
     314: 2q+1
     315: q+1
     316: 2q+1
     317: q+1
     318: q^2+q+1
     319: q+1
     320: 2q+1
     321: q+1
     322: 2q+1
     323: q+1
     324: 2q+1
     326: q+1
     328: q^2+1
     330: q+1
     332: q^2+1
     333: q+1
     334: q^2+q+1
     335: q+1
     336: 2q+1
     337: 2q+1
     338: 2q+1
     339: q^2+q+1
     340: 2q+1
     341: q^2+q+1
     342: 2q+1
     343: q^2+q+1
     344: 2q+1
     345: q^2+q+1
     347: q^2+1
     349: 1
     351: 1
     353: q+1
     355: 1
     357: 1
     359: 1
     361: q^2+1
     363: 1
     365: q+1
     366: q
     367: q+1
     369: q+1
     371: 1
     373: q+1
     374: q
     375: q+1
     377: q+1
     379: q^2+1
     381: 1
     383: 1
     384: q
     385: q+1
     387: q+1
     388: q
     389: q+1
     390: q+1
     391: q+1
     392: q+1
     393: q^2+q+1
     395: q+1
     397: q^2+1
     399: q+1
     401: q^2+1
     402: q+1
     403: q+1
     404: q+1
     405: q+1
     406: q+1
     407: 2q+1
     408: q+1
     409: q+1
     410: q+1
     411: q+1
     412: 2q+1
     414: q+1
     416: q^2+1
     418: q+1
     420: q^2+1
     421: q+1
     422: q^2+q+1
     423: q+1
     424: 2q+1
     425: q+1
     426: 2q+1
     427: q+1
     428: 2
     429: 2
     430: 2
     431: q^2+1
     432: 2q+1
     433: q^2+q+1
     434: 2q+1
     435: q^2+q+1
     440: q+1
     443: 1
     445: 1
     447: 1
     449: 1
     451: 1
     453: q^2+1
     455: 1
     457: 1
     459: q+1
     461: 1
     463: q+1
     465: 1
     467: 1
     469: q+1
     471: 1
     473: q+1
     475: q^2+1
     477: 1
     479: 1
     481: 1
     483: q+1
     484: q
     485: q+1
     486: q
     487: q+1
     488: 1
     490: 2
     492: 2
     494: 2
     496: q^2+1
     497: 2
     498: q+1
     500: q+1
     502: q^2+1
     504: q+1
     506: q^2+1
     507: q^2+q+1
     508: q+1
     509: 2
     510: q+1
     511: q+1
     512: q+1
     513: 2q+1
     514: q+1
     515: 2
     516: q+1
     517: q+1
     518: q+1
     519: 2q+1
     520: q+1
     521: q+1
     522: q+1
     523: q+1
     524: q+1
     525: 2
     526: 2
     527: 2
     528: q^2+1
     533: q+1
     536: 1
     538: 1
     540: 2
     542: 1
     544: 1
     546: q^2+1
     548: 1
     550: 2
     552: 1
     554: 1
     556: 1
     558: 1
     560: q+1
     562: 2
     564: 1
     566: 1
     568: 1
     570: 1
     572: q+1
     574: 1
     575: 1
     576: 1
     578: 1
     580: 1
     582: q+1
     584: 1
     585: q
     586: q+1
     588: 2
     590: 2
     592: 2
     594: q^2+1
     595: 1
     596: 1
     597: 2
     598: q+1
     599: 2
     600: 2
     601: q+1
     602: q+1
     603: 2
     604: 2
     605: q+1
     606: q+1
     607: q+1
     608: q+1
     609: q+1
     610: q+1
     611: 2
     612: 2
     613: 2
     614: q^2+1
     616: 1
     619: 1
     625: q+1
     628: 1
     630: 1
     632: 2
     634: 1
     636: 1
     638: 1
     639: 1
     640: 1
     642: 2
     644: 1
     646: 2
     648: 1
     650: 1
     652: 2
     654: 1
     656: 2
     658: 1
     660: 1
     661: 1
     662: 1
     664: 1
     666: 1
     668: 1
     670: 1
     672: 1
     674: 2
     676: 2
     678: 2
     680: q^2+1
     681: 1
     682: 2
     683: 1
     684: 2
     685: 1
     686: 2
     687: q+1
     688: 2
     689: 1
     690: 2
     691: q+1
     692: q+1
     693: 2
     694: q+1
     696: 1
     699: 1
     702: 1
     705: 1
     708: 1
     710: 2
     712: 1
     714: 1
     716: 1
     717: 1
     718: 1
     720: 2
     722: 1
     724: 2
     726: 1
     728: 2
     730: 1
     732: 2
     734: 1
     735: 1
     736: 1
     738: 1
     740: 1
     742: 1
     744: 2
     746: 1
     748: 1
     749: 1
     750: 1
     751: 1
     752: 1
     753: 2
     754: 1
     755: 2
     756: 1
     757: 2
     758: q+1
     760: 1
     763: 1
     766: 1
     769: 1
     772: 1
     775: 1
     780: 1
     781: 1
     782: 1
     784: 1
     786: 1
     788: 2
     790: 1
     792: 2
     794: 1
     796: 1
     798: 2
     800: 1
     802: 1
     803: 1
     804: 1
     805: 1
     806: 1
     807: 1
     808: 1
     809: 2
     811: 1
     814: 1
     817: 1
     820: 1
     827: 1
     829: 1
     831: 1
     835: 1
     837: 2
     838: 1
     839: 1
     841: 1
     842: 1
     843: 1
     851: 1
     854: 1
     857: 1
     865: 1
     866: 1
     874: 1

875:   0: q^3+1
       1: 1
       2: q^3+1
       3: q^3+1
       4: q^3+1
       5: 1
       6: 1
       7: 1
       8: q^3+1
       9: 1
      10: 1
      11: 1
      12: q^3+1
      13: 1
      14: q^7+1
      15: 1
      16: 1
      17: 1
      18: 1
      19: 1
      20: 1
      21: 1
      22: 1
      23: q^3+1
      24: q^3+1
      25: 1
      26: 1
      27: q^3+1
      28: 1
      29: 1
      30: q^3+1
      31: q^3+1
      32: 1
      33: q^3+1
      34: 1
      35: q^3+1
      36: 1
      37: q^3+1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: q^3+1
      45: 1
      46: 1
      47: q^3+1
      48: q^3+1
      50: 1
      52: q^3+1
      54: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: 1
      63: 1
      64: q^3+1
      65: 1
      66: q^3+1
      67: 1
      68: q^3+1
      69: 1
      70: q^3+1
      71: 1
      72: q^3+1
      73: 1
      74: q^3+1
      75: 1
      76: 1
      78: 1
      80: q^3+1
      82: 1
      83: 1
      84: 1
      85: 1
      86: q^3+1
      87: q^3+1
      88: q^3+1
      90: 1
      92: q^3+1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: 1
     109: 1
     110: 1
     111: 1
     112: q^3+1
     113: 1
     114: q^3+1
     115: 1
     116: q^3+1
     117: 1
     118: q^3+1
     119: 1
     120: q^3+1
     121: 1
     122: q^3+1
     123: 1
     124: q^3+1
     126: 1
     128: 1
     130: 1
     132: 1
     134: 1
     135: 1
     136: q^3+1
     138: 1
     140: q^3+1
     142: 1
     144: 1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     151: q^3+1
     152: 1
     153: q^3+1
     154: 1
     155: 1
     156: 1
     157: 1
     158: q^3+1
     159: q^3+1
     160: 1
     161: 1
     162: q^3+1
     164: 1
     166: q^3+1
     168: 1
     170: 1
     171: 1
     172: 1
     173: 1
     174: 1
     175: 1
     176: 1
     177: 1
     178: 1
     179: 1
     180: 1
     181: 1
     182: q^3+1
     183: 1
     184: q^3+1
     185: 1
     186: 1
     188: 1
     190: q^3+1
     192: 1
     194: 1
     196: q^3+1
     198: q^3+1
     200: 1
     202: 1
     204: 1
     206: 1
     208: 1
     210: 1
     212: 1
     214: 1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     223: 1
     224: 1
     225: 1
     226: 1
     227: 1
     228: 1
     229: 1
     230: 1
     231: 1
     232: q^3+1
     234: 1
     236: q^3+1
     238: 1
     240: 1
     241: q^3+1
     242: q^3+1
     243: 1
     244: q^3+1
     245: 1
     246: q^3+1
     247: 1
     248: 1
     249: 1
     250: 1
     251: 1
     252: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     258: 1
     259: 1
     260: 1
     262: 1
     264: 1
     266: 1
     268: 1
     270: 1
     272: q^3+1
     274: 1
     276: q^3+1
     278: 1
     280: 1
     282: 1
     284: q^3+1
     286: 1
     288: 1
     290: 1
     292: 1
     294: 1
     296: 1
     297: 1
     298: 1
     299: 1
     300: 1
     301: q^3+1
     303: 1
     305: q^3+1
     307: 1
     309: 1
     310: 1
     311: 1
     312: 1
     313: 1
     314: 1
     315: 1
     316: q^3+1
     317: 1
     318: 1
     319: 1
     320: 1
     321: 1
     322: 1
     323: 1
     324: q^3+1
     325: 1
     327: 1
     329: 1
     331: 1
     333: 1
     334: 1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: 1
     341: 1
     342: 1
     343: 1
     344: 1
     345: 1
     346: 1
     348: 1
     350: 1
     352: 1
     354: 1
     356: 1
     358: 1
     360: 1
     362: 1
     364: 1
     366: 1
     368: q^3+1
     370: 1
     372: 1
     374: 1
     376: q^3+1
     378: 1
     380: 1
     382: 1
     384: 1
     386: q^3+1
     388: q^3+1
     390: 1
     391: 1
     392: 1
     393: 1
     394: 1
     396: 1
     398: 1
     400: 1
     402: 1
     403: 1
     404: 1
     405: 1
     406: 1
     407: 1
     408: 1
     409: 1
     410: 1
     411: 1
     412: 1
     413: 1
     415: 1
     417: 1
     419: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     426: 1
     427: 1
     428: 1
     429: 1
     430: 1
     431: 1
     432: 1
     433: 1
     434: 1
     435: 1
     436: q^3+1
     442: 1
     444: 1
     446: 1
     448: 1
     450: 1
     452: 1
     454: 1
     456: 1
     458: 1
     460: 1
     462: 1
     464: 1
     466: 1
     468: 1
     470: 1
     472: 1
     474: 1
     476: 1
     478: 1
     480: 1
     482: 1
     484: 1
     486: 1
     488: 1
     489: 1
     491: 1
     493: 1
     495: 1
     497: 1
     498: 1
     499: 1
     501: 1
     503: 1
     505: 1
     507: 1
     508: 1
     509: 1
     510: 1
     511: 1
     512: 1
     513: 1
     514: 1
     515: 1
     516: 1
     517: 1
     518: 1
     519: 1
     520: 1
     521: 1
     522: 1
     523: 1
     524: 1
     525: 1
     526: 1
     527: 1
     528: 1
     529: 1
     535: 1
     537: 1
     539: 1
     541: 1
     543: 1
     545: 1
     547: 1
     549: 1
     551: 1
     553: 1
     555: 1
     557: 1
     559: 1
     561: 1
     563: 1
     565: 1
     567: 1
     569: 1
     571: 1
     573: 1
     575: 1
     577: 1
     579: 1
     581: 1
     583: 1
     585: 1
     587: 1
     589: 1
     591: 1
     593: 1
     595: 1
     596: 1
     597: 1
     598: 1
     599: 1
     600: 1
     601: 1
     602: 1
     603: 1
     604: 1
     605: 1
     606: 1
     607: 1
     608: 1
     609: 1
     610: 1
     615: 1
     621: 1
     627: 1
     629: 1
     631: 1
     633: 1
     635: 1
     637: 1
     639: 1
     641: 1
     643: 1
     645: 1
     647: 1
     649: 1
     651: 1
     653: 1
     655: 1
     657: 1
     659: 1
     661: 1
     663: 1
     665: 1
     667: 1
     669: 1
     671: 1
     683: 1
     685: 1
     686: 1
     687: 1
     689: 1
     690: 1
     691: 1
     692: 1
     693: 1
     694: 1
     695: 1
     701: 1
     711: 1
     713: 1
     715: 1
     717: 1
     721: 1
     723: 1
     725: 1
     729: 1
     731: 1
     733: 1
     737: 1
     739: 1
     741: 1
     743: 1
     745: 1
     747: 1
     749: 1
     752: 1
     754: 1
     756: 1
     757: 1
     758: 1
     759: 1
     771: 1
     777: 1
     783: 1
     785: 1
     789: 1
     793: 1
     795: 1
     797: 1
     799: 1
     801: 1
     803: 1
     805: 1
     808: 1
     816: 1
     822: 1
     826: 1
     832: 1
     834: 1
     840: 1
     842: 1
     856: 1
     858: 1
     860: 1
     875: 1

876:   0: q^3+1
       1: 1
       2: q^3+1
       3: q^3+1
       4: q^3+1
       5: 1
       6: 1
       7: 1
       8: q^3+1
       9: 1
      10: 1
      11: 1
      12: q^3+1
      13: 1
      14: q^7+1
      15: 1
      16: 1
      17: 1
      18: 1
      19: 1
      20: 1
      21: 1
      22: 1
      23: q^3+1
      24: q^3+1
      25: 1
      26: 1
      27: q^3+1
      28: 1
      29: 1
      30: q^3+1
      31: q^3+1
      32: 1
      33: q^3+1
      34: 1
      35: q^3+1
      36: 1
      37: q^3+1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: q^3+1
      45: 1
      46: 1
      47: q^3+1
      49: q^3+1
      51: 1
      53: q^3+1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: 1
      63: 1
      64: q^3+1
      65: 1
      66: q^3+1
      67: 1
      68: q^3+1
      69: 1
      70: q^3+1
      71: 1
      72: q^3+1
      73: 1
      74: q^3+1
      75: 1
      77: 1
      79: 1
      81: q^3+1
      82: 1
      83: 1
      84: 1
      85: 1
      86: q^3+1
      87: q^3+1
      89: q^3+1
      91: 1
      93: q^3+1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: 1
     109: 1
     110: 1
     111: 1
     112: q^3+1
     113: 1
     114: q^3+1
     115: 1
     116: q^3+1
     117: 1
     118: q^3+1
     119: 1
     120: q^3+1
     121: 1
     122: q^3+1
     123: 1
     125: q^3+1
     127: 1
     129: 1
     131: 1
     133: 1
     134: 1
     135: 1
     137: q^3+1
     139: 1
     141: q^3+1
     143: 1
     144: 1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     151: q^3+1
     152: 1
     153: q^3+1
     154: 1
     155: 1
     156: 1
     157: 1
     158: q^3+1
     159: q^3+1
     160: 1
     161: 1
     163: q^3+1
     165: 1
     167: q^3+1
     169: 1
     170: 1
     171: 1
     172: 1
     173: 1
     174: 1
     175: 1
     176: 1
     177: 1
     178: 1
     179: 1
     180: 1
     181: 1
     182: q^3+1
     183: 1
     184: q^3+1
     185: 1
     187: 1
     189: 1
     191: q^3+1
     193: 1
     195: 1
     197: q^3+1
     199: q^3+1
     201: 1
     203: 1
     205: 1
     207: 1
     209: 1
     211: 1
     213: 1
     214: 1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     223: 1
     224: 1
     225: 1
     226: 1
     227: 1
     228: 1
     229: 1
     230: 1
     231: 1
     233: q^3+1
     235: 1
     237: q^3+1
     239: 1
     240: 1
     241: q^3+1
     242: q^3+1
     243: 1
     244: q^3+1
     245: 1
     246: q^3+1
     247: 1
     248: 1
     249: 1
     250: 1
     251: 1
     252: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     258: 1
     259: 1
     261: 1
     263: 1
     265: 1
     267: 1
     269: 1
     271: 1
     273: q^3+1
     275: 1
     277: q^3+1
     279: 1
     281: 1
     283: 1
     285: q^3+1
     287: 1
     289: 1
     291: 1
     293: 1
     295: 1
     296: 1
     297: 1
     298: 1
     299: 1
     300: 1
     302: q^3+1
     304: 1
     306: q^3+1
     308: 1
     309: 1
     310: 1
     311: 1
     312: 1
     313: 1
     314: 1
     315: 1
     316: q^3+1
     317: 1
     318: 1
     319: 1
     320: 1
     321: 1
     322: 1
     323: 1
     324: q^3+1
     326: 1
     328: 1
     330: 1
     332: 1
     333: 1
     334: 1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: 1
     341: 1
     342: 1
     343: 1
     344: 1
     345: 1
     347: 1
     349: 1
     351: 1
     353: 1
     355: 1
     357: 1
     359: 1
     361: 1
     363: 1
     365: 1
     367: 1
     369: q^3+1
     371: 1
     373: 1
     375: 1
     377: q^3+1
     379: 1
     381: 1
     383: 1
     385: 1
     387: q^3+1
     389: q^3+1
     390: 1
     391: 1
     392: 1
     393: 1
     395: 1
     397: 1
     399: 1
     401: 1
     402: 1
     403: 1
     404: 1
     405: 1
     406: 1
     407: 1
     408: 1
     409: 1
     410: 1
     411: 1
     412: 1
     414: 1
     416: 1
     418: 1
     420: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     426: 1
     427: 1
     428: 1
     429: 1
     430: 1
     431: 1
     432: 1
     433: 1
     434: 1
     435: 1
     440: q^3+1
     443: 1
     445: 1
     447: 1
     449: 1
     451: 1
     453: 1
     455: 1
     457: 1
     459: 1
     461: 1
     463: 1
     465: 1
     467: 1
     469: 1
     471: 1
     473: 1
     475: 1
     477: 1
     479: 1
     481: 1
     483: 1
     485: 1
     487: 1
     488: 1
     490: 1
     492: 1
     494: 1
     496: 1
     497: 1
     498: 1
     500: 1
     502: 1
     504: 1
     506: 1
     507: 1
     508: 1
     509: 1
     510: 1
     511: 1
     512: 1
     513: 1
     514: 1
     515: 1
     516: 1
     517: 1
     518: 1
     519: 1
     520: 1
     521: 1
     522: 1
     523: 1
     524: 1
     525: 1
     526: 1
     527: 1
     528: 1
     533: 1
     536: 1
     538: 1
     540: 1
     542: 1
     544: 1
     546: 1
     548: 1
     550: 1
     552: 1
     554: 1
     556: 1
     558: 1
     560: 1
     562: 1
     564: 1
     566: 1
     568: 1
     570: 1
     572: 1
     574: 1
     576: 1
     578: 1
     580: 1
     582: 1
     584: 1
     586: 1
     588: 1
     590: 1
     592: 1
     594: 1
     595: 1
     596: 1
     597: 1
     598: 1
     599: 1
     600: 1
     601: 1
     602: 1
     603: 1
     604: 1
     605: 1
     606: 1
     607: 1
     608: 1
     609: 1
     610: 1
     619: 1
     625: 1
     628: 1
     630: 1
     632: 1
     634: 1
     636: 1
     638: 1
     640: 1
     642: 1
     644: 1
     646: 1
     648: 1
     650: 1
     652: 1
     654: 1
     656: 1
     658: 1
     660: 1
     662: 1
     664: 1
     666: 1
     668: 1
     670: 1
     672: 1
     683: 1
     685: 1
     686: 1
     687: 1
     689: 1
     690: 1
     691: 1
     692: 1
     693: 1
     694: 1
     699: 1
     705: 1
     712: 1
     714: 1
     716: 1
     718: 1
     722: 1
     724: 1
     726: 1
     730: 1
     732: 1
     734: 1
     738: 1
     740: 1
     742: 1
     744: 1
     746: 1
     748: 1
     750: 1
     752: 1
     754: 1
     756: 1
     757: 1
     758: 1
     763: 1
     775: 1
     778: 1
     784: 1
     786: 1
     790: 1
     794: 1
     796: 1
     798: 1
     800: 1
     802: 1
     804: 1
     805: 1
     808: 1
     820: 1
     823: 1
     827: 1
     833: 1
     835: 1
     841: 1
     842: 1
     857: 1
     859: 1
     861: 1
     876: 1

877:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       5: q^3+1
       6: q+1
       7: q+1
       8: q+1
       9: q^3+1
      10: q^3+1
      11: q+1
      12: q+1
      13: q^3+1
      14: q^3+1
      15: 1
      16: 1
      17: 1
      18: 1
      19: q+1
      20: q+1
      21: q+1
      22: q^3+1
      23: q+1
      24: q+1
      25: q+1
      26: q^3+1
      27: q+1
      28: q+1
      29: q^3+1
      30: q+1
      31: q+1
      32: q+1
      33: q+1
      34: q^3+1
      35: q+1
      36: q+1
      37: q+1
      38: q^3+1
      39: 1
      40: 1
      41: q+1
      42: 1
      43: q+1
      44: q+1
      45: 1
      46: q+1
      47: q+1
      48: 1
      49: q
      50: 1
      51: q
      52: 1
      53: q
      54: 1
      55: q^3
      56: 1
      57: 1
      58: 1
      59: 1
      60: q+1
      61: q+1
      62: q+1
      63: q^3+1
      64: q+1
      65: q+1
      66: q+1
      67: q^3+1
      68: q+1
      69: q+1
      70: q+1
      71: q^3+1
      72: q+1
      73: q+1
      74: q+1
      75: q^3+1
      76: 1
      78: 1
      79: q
      80: 1
      81: q
      82: 1
      83: q+1
      84: 1
      85: 1
      86: q+1
      87: q+1
      88: 1
      89: q
      90: 1
      91: q
      92: 1
      93: q
      94: 1
      95: q^3
      96: 1
      97: q+1
      98: 1
      99: q+1
     100: 1
     101: q+1
     102: 1
     103: q+1
     104: 1
     105: 1
     106: 1
     107: 1
     108: q+1
     109: q+1
     110: q+1
     111: q^3+1
     112: q+1
     113: q+1
     114: q+1
     115: q^3+1
     116: q+1
     117: q+1
     118: q+1
     119: q^3+1
     120: q+1
     121: q+1
     122: q+1
     123: q^3+1
     124: 1
     125: q
     126: 1
     128: 1
     129: q
     130: 1
     132: 1
     133: q
     134: 1
     135: 1
     136: 1
     137: q
     138: 1
     139: q
     140: 1
     141: q
     142: 1
     143: q^3
     144: 1
     145: q+1
     146: q+1
     147: q+1
     148: 1
     149: q+1
     150: 1
     151: q+1
     152: 1
     153: q+1
     154: 1
     155: q+1
     156: 1
     157: 1
     158: q+1
     159: q+1
     160: 1
     161: q+1
     162: 1
     163: q
     164: 1
     165: q
     166: 1
     167: q
     168: 1
     169: q^3
     170: 1
     171: 1
     172: 1
     173: 1
     174: q+1
     175: q+1
     176: q+1
     177: q^3+1
     178: q+1
     179: q+1
     180: q+1
     181: q^3+1
     182: q+1
     183: q+1
     184: q+1
     185: q^3+1
     186: 1
     187: q
     188: 1
     190: 1
     191: q
     192: 1
     193: q
     194: 1
     196: 1
     197: q
     198: 1
     199: q
     200: 1
     202: 1
     204: 1
     205: q
     206: 1
     207: q
     208: 1
     209: q
     210: 1
     211: q
     212: 1
     213: q^3
     214: 1
     215: 1
     216: 1
     217: 1
     218: q+1
     219: 1
     220: q+1
     221: 1
     222: 1
     223: q+1
     224: q+1
     225: q+1
     226: 1
     227: 1
     228: q+1
     229: q+1
     230: q+1
     231: q+1
     232: 1
     233: q
     234: 1
     235: q
     236: 1
     237: q
     238: 1
     239: q^3
     240: 1
     241: q+1
     242: q+1
     243: 1
     244: q+1
     245: q+1
     246: q+1
     247: q^3+1
     248: 1
     249: 1
     250: 1
     251: 1
     252: 1
     253: 1
     254: 1
     255: 1
     256: q+1
     257: q+1
     258: q+1
     259: q^3+1
     260: 1
     262: 1
     263: q
     264: 1
     266: 1
     267: q
     268: 1
     269: q
     270: 1
     272: 1
     273: q
     274: 1
     275: q
     276: 1
     277: q
     278: 1
     279: q
     280: 1
     281: q
     282: 1
     284: 1
     285: q
     286: 1
     296: 1
     297: 1
     298: 1
     299: q+1
     300: 1
     301: 1
     302: q
     303: 1
     304: q
     305: 1
     306: q
     307: 1
     308: q^3
     309: 1
     310: 1
     311: 1
     312: 1
     313: q+1
     314: 1
     315: q+1
     316: q+1
     317: 1
     318: 1
     319: 1
     320: 1
     321: q+1
     322: 1
     323: q+1
     324: q+1
     325: 1
     326: q
     327: 1
     328: q
     329: 1
     330: q
     331: 1
     332: q^3
     333: 1
     334: 1
     335: q+1
     336: q+1
     337: q+1
     338: q+1
     339: q+1
     340: q+1
     341: q^3+1
     342: 1
     343: 1
     344: 1
     345: 1
     350: 1
     354: 1
     355: q
     356: 1
     358: 1
     359: q
     360: 1
     362: 1
     363: q
     364: 1
     365: q
     366: 1
     368: 1
     369: q
     370: 1
     371: q
     372: 1
     373: q
     374: 1
     376: 1
     377: q
     378: 1
     380: 1
     381: q
     382: 1
     384: 1
     385: q
     386: 1
     387: q
     388: 1
     389: q
     390: 1
     391: 1
     392: 1
     393: 1
     394: 1
     395: q
     396: 1
     397: q
     398: 1
     399: q
     400: 1
     401: q^3
     402: q+1
     403: 1
     404: 1
     405: 1
     406: q+1
     407: q+1
     408: 1
     409: 1
     410: 1
     411: q+1
     412: q+1
     421: 1
     422: 1
     423: 1
     424: 1
     425: q+1
     426: 1
     427: q+1
     428: q+1
     429: q+1
     430: q+1
     431: q^3+1
     432: 1
     433: 1
     434: 1
     435: 1
     436: 1
     440: q
     444: 1
     448: 1
     449: q
     450: 1
     452: 1
     454: 1
     455: q
     456: 1
     460: 1
     461: q
     462: 1
     463: q
     464: 1
     465: q
     466: 1
     470: 1
     471: q
     472: 1
     473: q
     478: 1
     480: 1
     481: q
     482: 1
     483: q
     484: 1
     486: 1
     487: q
     488: 1
     489: 1
     490: q
     491: 1
     492: q
     493: 1
     494: q
     495: 1
     496: q^3
     497: q+1
     498: 1
     507: 1
     508: 1
     509: q+1
     510: 1
     511: 1
     512: 1
     513: 1
     514: q+1
     515: q+1
     516: 1
     517: 1
     518: 1
     519: 1
     520: q+1
     521: 1
     522: 1
     523: 1
     524: q+1
     525: 1
     526: 1
     527: 1
     528: 1
     529: 1
     533: q
     535: 1
     539: 1
     540: q
     541: 1
     547: 1
     548: q
     549: 1
     550: q
     551: 1
     555: 1
     556: q
     557: 1
     561: 1
     562: q
     563: 1
     567: 1
     568: q
     569: 1
     575: 1
     576: q
     577: 1
     578: q
     579: 1
     583: 1
     584: q
     585: 1
     595: 1
     596: 1
     597: 1
     598: 1
     599: 1
     600: q+1
     601: 1
     602: 1
     603: 1
     604: q+1
     605: 1
     606: 1
     607: 1
     608: 1
     609: 1
     610: q+1
     611: 1
     612: 1
     613: 1
     614: 1
     615: 1
     619: q
     629: 1
     635: 1
     637: 1
     638: q
     639: 1
     640: q
     645: 1
     646: q
     647: 1
     655: 1
     656: q
     657: 1
     661: 1
     663: 1
     667: 1
     668: q
     669: 1
     671: 1
     672: q
     681: 1
     682: 1
     683: 1
     684: 1
     685: 1
     686: 1
     687: 1
     688: 1
     689: 1
     690: 1
     691: 1
     692: 1
     693: q+1
     694: 1
     695: 1
     699: q
     713: 1
     717: 1
     721: 1
     729: 1
     735: 1
     739: 1
     743: 1
     744: q
     745: 1
     747: 1
     748: q
     749: 1
     750: q
     751: 1
     752: 1
     753: 1
     754: 1
     755: 1
     756: 1
     757: 1
     758: 1
     771: 1
     775: q
     777: 1
     781: 1
     793: 1
     799: 1
     803: 1
     805: 1
     806: 1
     807: 1
     808: 1
     809: 1
     824: 1
     826: 1
     832: 1
     838: 1
     842: 1
     843: 1
     858: 1
     862: 1
     866: 1
     877: 1

878:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       5: q^3+1
       6: q+1
       7: q+1
       8: q+1
       9: q^3+1
      10: q^3+1
      11: q+1
      12: q+1
      13: q^3+1
      14: q^3+1
      15: 1
      16: 1
      17: 1
      18: 1
      19: q+1
      20: q+1
      21: q+1
      22: q^3+1
      23: q+1
      24: q+1
      25: q+1
      26: q^3+1
      27: q+1
      28: q+1
      29: q^3+1
      30: q+1
      31: q+1
      32: q+1
      33: q+1
      34: q^3+1
      35: q+1
      36: q+1
      37: q+1
      38: q^3+1
      39: 1
      40: 1
      41: q+1
      42: 1
      43: q+1
      44: q+1
      45: 1
      46: q+1
      47: q+1
      48: q
      49: 1
      50: q
      51: 1
      52: q
      53: 1
      54: q^3
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: q+1
      61: q+1
      62: q+1
      63: q^3+1
      64: q+1
      65: q+1
      66: q+1
      67: q^3+1
      68: q+1
      69: q+1
      70: q+1
      71: q^3+1
      72: q+1
      73: q+1
      74: q+1
      75: q^3+1
      77: 1
      78: q
      79: 1
      80: q
      81: 1
      82: 1
      83: q+1
      84: 1
      85: 1
      86: q+1
      87: q+1
      88: q
      89: 1
      90: q
      91: 1
      92: q
      93: 1
      94: q^3
      95: 1
      96: 1
      97: q+1
      98: 1
      99: q+1
     100: 1
     101: q+1
     102: 1
     103: q+1
     104: 1
     105: 1
     106: 1
     107: 1
     108: q+1
     109: q+1
     110: q+1
     111: q^3+1
     112: q+1
     113: q+1
     114: q+1
     115: q^3+1
     116: q+1
     117: q+1
     118: q+1
     119: q^3+1
     120: q+1
     121: q+1
     122: q+1
     123: q^3+1
     124: q
     125: 1
     127: 1
     128: q
     129: 1
     131: 1
     132: q
     133: 1
     134: 1
     135: 1
     136: q
     137: 1
     138: q
     139: 1
     140: q
     141: 1
     142: q^3
     143: 1
     144: 1
     145: q+1
     146: q+1
     147: q+1
     148: 1
     149: q+1
     150: 1
     151: q+1
     152: 1
     153: q+1
     154: 1
     155: q+1
     156: 1
     157: 1
     158: q+1
     159: q+1
     160: 1
     161: q+1
     162: q
     163: 1
     164: q
     165: 1
     166: q
     167: 1
     168: q^3
     169: 1
     170: 1
     171: 1
     172: 1
     173: 1
     174: q+1
     175: q+1
     176: q+1
     177: q^3+1
     178: q+1
     179: q+1
     180: q+1
     181: q^3+1
     182: q+1
     183: q+1
     184: q+1
     185: q^3+1
     186: q
     187: 1
     189: 1
     190: q
     191: 1
     192: q
     193: 1
     195: 1
     196: q
     197: 1
     198: q
     199: 1
     201: 1
     203: 1
     204: q
     205: 1
     206: q
     207: 1
     208: q
     209: 1
     210: q
     211: 1
     212: q^3
     213: 1
     214: 1
     215: 1
     216: 1
     217: 1
     218: q+1
     219: 1
     220: q+1
     221: 1
     222: 1
     223: q+1
     224: q+1
     225: q+1
     226: 1
     227: 1
     228: q+1
     229: q+1
     230: q+1
     231: q+1
     232: q
     233: 1
     234: q
     235: 1
     236: q
     237: 1
     238: q^3
     239: 1
     240: 1
     241: q+1
     242: q+1
     243: 1
     244: q+1
     245: q+1
     246: q+1
     247: q^3+1
     248: 1
     249: 1
     250: 1
     251: 1
     252: 1
     253: 1
     254: 1
     255: 1
     256: q+1
     257: q+1
     258: q+1
     259: q^3+1
     261: 1
     262: q
     263: 1
     265: 1
     266: q
     267: 1
     268: q
     269: 1
     271: 1
     272: q
     273: 1
     274: q
     275: 1
     276: q
     277: 1
     278: q
     279: 1
     280: q
     281: 1
     283: 1
     284: q
     285: 1
     287: 1
     296: 1
     297: 1
     298: 1
     299: q+1
     300: 1
     301: q
     302: 1
     303: q
     304: 1
     305: q
     306: 1
     307: q^3
     308: 1
     309: 1
     310: 1
     311: 1
     312: 1
     313: q+1
     314: 1
     315: q+1
     316: q+1
     317: 1
     318: 1
     319: 1
     320: 1
     321: q+1
     322: 1
     323: q+1
     324: q+1
     325: q
     326: 1
     327: q
     328: 1
     329: q
     330: 1
     331: q^3
     332: 1
     333: 1
     334: 1
     335: q+1
     336: q+1
     337: q+1
     338: q+1
     339: q+1
     340: q+1
     341: q^3+1
     342: 1
     343: 1
     344: 1
     345: 1
     351: 1
     354: q
     355: 1
     357: 1
     358: q
     359: 1
     361: 1
     362: q
     363: 1
     364: q
     365: 1
     367: 1
     368: q
     369: 1
     370: q
     371: 1
     372: q
     373: 1
     375: 1
     376: q
     377: 1
     379: 1
     380: q
     381: 1
     383: 1
     384: q
     385: 1
     386: q
     387: 1
     388: q
     389: 1
     390: 1
     391: 1
     392: 1
     393: 1
     394: q
     395: 1
     396: q
     397: 1
     398: q
     399: 1
     400: q^3
     401: 1
     402: q+1
     403: 1
     404: 1
     405: 1
     406: q+1
     407: q+1
     408: 1
     409: 1
     410: 1
     411: q+1
     412: q+1
     421: 1
     422: 1
     423: 1
     424: 1
     425: q+1
     426: 1
     427: q+1
     428: q+1
     429: q+1
     430: q+1
     431: q^3+1
     432: 1
     433: 1
     434: 1
     435: 1
     436: q
     440: 1
     445: 1
     448: q
     449: 1
     451: 1
     453: 1
     454: q
     455: 1
     457: 1
     460: q
     461: 1
     462: q
     463: 1
     464: q
     465: 1
     467: 1
     470: q
     471: 1
     472: q
     473: 1
     479: 1
     480: q
     481: 1
     482: q
     483: 1
     485: 1
     486: q
     487: 1
     488: 1
     489: q
     490: 1
     491: q
     492: 1
     493: q
     494: 1
     495: q^3
     496: 1
     497: q+1
     498: 1
     507: 1
     508: 1
     509: q+1
     510: 1
     511: 1
     512: 1
     513: 1
     514: q+1
     515: q+1
     516: 1
     517: 1
     518: 1
     519: 1
     520: q+1
     521: 1
     522: 1
     523: 1
     524: q+1
     525: 1
     526: 1
     527: 1
     528: 1
     529: q
     533: 1
     536: 1
     539: q
     540: 1
     542: 1
     547: q
     548: 1
     549: q
     550: 1
     552: 1
     555: q
     556: 1
     558: 1
     561: q
     562: 1
     564: 1
     567: q
     568: 1
     570: 1
     575: q
     576: 1
     577: q
     578: 1
     580: 1
     583: q
     584: 1
     586: 1
     595: 1
     596: 1
     597: 1
     598: 1
     599: 1
     600: q+1
     601: 1
     602: 1
     603: 1
     604: q+1
     605: 1
     606: 1
     607: 1
     608: 1
     609: 1
     610: q+1
     611: 1
     612: 1
     613: 1
     614: 1
     615: q
     619: 1
     630: 1
     636: 1
     637: q
     638: 1
     639: q
     640: 1
     645: q
     646: 1
     648: 1
     655: q
     656: 1
     658: 1
     662: 1
     664: 1
     667: q
     668: 1
     670: 1
     671: q
     672: 1
     681: 1
     682: 1
     683: 1
     684: 1
     685: 1
     686: 1
     687: 1
     688: 1
     689: 1
     690: 1
     691: 1
     692: 1
     693: q+1
     694: 1
     695: q
     699: 1
     714: 1
     718: 1
     722: 1
     730: 1
     736: 1
     740: 1
     743: q
     744: 1
     746: 1
     747: q
     748: 1
     749: q
     750: 1
     751: 1
     752: 1
     753: 1
     754: 1
     755: 1
     756: 1
     757: 1
     758: 1
     771: q
     775: 1
     778: 1
     782: 1
     794: 1
     800: 1
     804: 1
     805: 1
     806: 1
     807: 1
     808: 1
     809: 1
     825: 1
     827: 1
     833: 1
     839: 1
     842: 1
     843: 1
     859: 1
     863: 1
     866: 1
     878: 1

879:   0: 1
       1: 1
       2: 1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
       8: 1
       9: 1
      10: 1
      11: 1
      12: 1
      13: 1
      14: 1
      15: 1
      16: 1
      17: 1
      18: 1
      19: 1
      20: 1
      21: 1
      22: 1
      23: 1
      24: 1
      25: 1
      26: 1
      27: 1
      28: 1
      29: 1
      30: 1
      31: 1
      32: 1
      33: 1
      34: 1
      35: 1
      36: 1
      37: 1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      48: 1
      50: 1
      52: 1
      54: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: 1
      63: 1
      64: 1
      65: 1
      66: 1
      67: 1
      68: 1
      69: 1
      70: 1
      71: 1
      72: 1
      73: 1
      74: 1
      75: 1
      76: 1
      78: 1
      80: 1
      82: 1
      83: 1
      84: 1
      85: 1
      86: 1
      87: 1
      88: 1
      90: 1
      92: 1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: 1
     109: 1
     110: 1
     111: 1
     112: 1
     113: 1
     114: 1
     115: 1
     116: 1
     117: 1
     118: 1
     119: 1
     120: 1
     121: 1
     122: 1
     123: 1
     124: 1
     126: 1
     128: 1
     130: 1
     132: 1
     134: 1
     135: 1
     136: 1
     138: 1
     140: 1
     142: 1
     144: 1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     151: 1
     152: 1
     153: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     161: 1
     162: 1
     164: 1
     166: 1
     168: 1
     170: 1
     171: 1
     172: 1
     173: 1
     174: 1
     175: 1
     176: 1
     177: 1
     178: 1
     179: 1
     180: 1
     181: 1
     182: 1
     183: 1
     184: 1
     185: 1
     186: 1
     188: 1
     190: 1
     192: 1
     194: 1
     196: 1
     198: 1
     200: 1
     202: 1
     204: 1
     206: 1
     208: 1
     210: 1
     212: 1
     214: 1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     223: 1
     224: 1
     225: 1
     226: 1
     227: 1
     228: 1
     229: 1
     230: 1
     231: 1
     232: 1
     234: 1
     236: 1
     238: 1
     240: 1
     241: 1
     242: 1
     243: 1
     244: 1
     245: 1
     246: 1
     247: 1
     248: 1
     249: 1
     250: 1
     251: 1
     252: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     258: 1
     259: 1
     260: 1
     262: 1
     264: 1
     266: 1
     268: 1
     270: 1
     272: 1
     274: 1
     276: 1
     278: 1
     280: 1
     282: 1
     284: 1
     286: 1
     288: 1
     290: 1
     292: 1
     294: 1
     296: 1
     297: 1
     298: 1
     299: 1
     300: 1
     301: 1
     303: 1
     305: 1
     307: 1
     309: 1
     310: 1
     311: 1
     312: 1
     313: 1
     314: 1
     315: 1
     316: 1
     317: 1
     318: 1
     319: 1
     320: 1
     321: 1
     322: 1
     323: 1
     324: 1
     325: 1
     327: 1
     329: 1
     331: 1
     333: 1
     334: 1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: 1
     341: 1
     342: 1
     343: 1
     344: 1
     345: 1
     346: 1
     348: 1
     350: 1
     352: 1
     354: 1
     356: 1
     358: 1
     360: 1
     362: 1
     364: 1
     366: 1
     368: 1
     370: 1
     372: 1
     374: 1
     376: 1
     378: 1
     380: 1
     382: 1
     384: 1
     386: 1
     388: 1
     390: 1
     391: 1
     392: 1
     393: 1
     394: 1
     396: 1
     398: 1
     400: 1
     402: 1
     403: 1
     404: 1
     405: 1
     406: 1
     407: 1
     408: 1
     409: 1
     410: 1
     411: 1
     412: 1
     413: 1
     415: 1
     417: 1
     419: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     426: 1
     427: 1
     428: 1
     429: 1
     430: 1
     431: 1
     432: 1
     433: 1
     434: 1
     435: 1
     436: 1
     442: 1
     444: 1
     446: 1
     448: 1
     450: 1
     452: 1
     454: 1
     456: 1
     458: 1
     460: 1
     462: 1
     464: 1
     466: 1
     468: 1
     470: 1
     472: 1
     474: 1
     476: 1
     478: 1
     480: 1
     482: 1
     484: 1
     486: 1
     488: 1
     489: 1
     491: 1
     493: 1
     495: 1
     497: 1
     498: 1
     499: 1
     501: 1
     503: 1
     505: 1
     507: 1
     508: 1
     509: 1
     510: 1
     511: 1
     512: 1
     513: 1
     514: 1
     515: 1
     516: 1
     517: 1
     518: 1
     519: 1
     520: 1
     521: 1
     522: 1
     523: 1
     524: 1
     525: 1
     526: 1
     527: 1
     528: 1
     529: 1
     535: 1
     537: 1
     539: 1
     541: 1
     543: 1
     545: 1
     547: 1
     549: 1
     551: 1
     553: 1
     555: 1
     557: 1
     559: 1
     561: 1
     563: 1
     565: 1
     567: 1
     569: 1
     571: 1
     573: 1
     575: 1
     577: 1
     579: 1
     581: 1
     583: 1
     585: 1
     587: 1
     589: 1
     591: 1
     593: 1
     595: 1
     596: 1
     597: 1
     598: 1
     599: 1
     600: 1
     601: 1
     602: 1
     603: 1
     604: 1
     605: 1
     606: 1
     607: 1
     608: 1
     609: 1
     610: 1
     611: 1
     612: 1
     613: 1
     614: 1
     615: 1
     621: 1
     627: 1
     629: 1
     631: 1
     633: 1
     635: 1
     637: 1
     639: 1
     641: 1
     643: 1
     645: 1
     647: 1
     649: 1
     651: 1
     653: 1
     655: 1
     657: 1
     659: 1
     661: 1
     663: 1
     665: 1
     667: 1
     669: 1
     671: 1
     673: 1
     675: 1
     677: 1
     679: 1
     681: 1
     682: 1
     683: 1
     684: 1
     685: 1
     686: 1
     687: 1
     688: 1
     689: 1
     690: 1
     691: 1
     692: 1
     693: 1
     694: 1
     695: 1
     701: 1
     707: 1
     709: 1
     711: 1
     713: 1
     715: 1
     717: 1
     719: 1
     721: 1
     723: 1
     725: 1
     727: 1
     729: 1
     731: 1
     733: 1
     735: 1
     737: 1
     739: 1
     741: 1
     743: 1
     745: 1
     747: 1
     749: 1
     751: 1
     752: 1
     753: 1
     754: 1
     755: 1
     756: 1
     757: 1
     758: 1
     759: 1
     765: 1
     771: 1
     777: 1
     779: 1
     781: 1
     783: 1
     785: 1
     787: 1
     789: 1
     791: 1
     793: 1
     795: 1
     797: 1
     799: 1
     801: 1
     803: 1
     805: 1
     806: 1
     807: 1
     808: 1
     809: 1
     810: 1
     816: 1
     822: 1
     824: 1
     826: 1
     828: 1
     830: 1
     832: 1
     834: 1
     836: 1
     838: 1
     840: 1
     842: 1
     843: 1
     844: 1
     850: 1
     856: 1
     858: 1
     860: 1
     862: 1
     864: 1
     866: 1
     867: 1
     873: 1
     875: 1
     877: 1
     879: 1

880:   0: q^2+2q
       1: q^3+2q
       2: q^2+2q
       3: q^2+2q
       4: q^2+2q
       5: q^3+2q
       6: q^3+2q
       7: q^3+2q
       8: q^2+2q
       9: q^3+2q
      10: q^3+2q
      11: q^3+2q
      12: q^2+2q
      13: q^3+2q
      14: q^4+q^3+q
      15: q^3+2q
      16: q^3+2q
      17: q^3+2q
      18: q^3+2q
      19: 2q
      20: 2q
      21: 2q
      22: q^3+q
      23: q^2+2q
      24: q^2+2q
      25: q^3+2q
      26: q^3+2q
      27: q^2+2q
      28: q^3+2q
      29: q^3+2q
      30: q^2+2q
      31: q^2+2q
      32: q^3+2q
      33: q^2+2q
      34: q^3+2q
      35: q^2+2q
      36: q^3+2q
      37: q^2+2q
      38: q^3+2q
      39: q^3+2q
      40: q^3+2q
      41: 2q
      42: q^3+2q
      43: 2q
      44: q^2+2q
      45: q^3+2q
      46: 2q
      47: q^2+2q
      48: q
      49: q^2+q
      50: q
      51: q^3+q
      52: q
      53: q^2+q
      54: q
      55: q^3+q
      56: 2q
      57: 2q
      58: 2q
      59: q^3+q
      60: 2q
      61: 2q
      62: 2q
      63: q^3+q
      64: q^2+2q
      65: q^3+2q
      66: q^2+2q
      67: q^3+2q
      68: q^2+2q
      69: q^3+2q
      70: q^2+2q
      71: q^3+2q
      72: q^2+2q
      73: q^3+2q
      74: q^2+2q
      75: q^3+2q
      76: q
      77: q^3+q
      78: q
      79: q
      80: q
      81: q^2+q
      82: q
      83: 2q
      84: 2q
      85: q^3+2q
      86: q^2+2q
      87: q^2+2q
      88: q
      89: q^2+q
      90: q
      91: q^3+q
      92: q
      93: q^2+q
      94: q
      95: q^3+q
      96: 2q
      97: 2q
      98: q^3+2q
      99: 2q
     100: 2q
     101: 2q
     102: q^3+2q
     103: 2q
     104: 2q
     105: 2q
     106: 2q
     107: q^3+q
     108: 2q
     109: 2q
     110: 2q
     111: q^3+q
     112: q^2+2q
     113: q^3+2q
     114: q^2+2q
     115: q^3+2q
     116: q^2+2q
     117: q^3+2q
     118: q^2+2q
     119: q^3+2q
     120: q^2+2q
     121: q^3+2q
     122: q^2+2q
     123: q^3+2q
     124: q
     125: q^2+q
     126: q
     127: q^3+q
     128: q
     129: q
     130: q
     131: q
     132: q
     133: q
     134: q
     135: 2q
     136: q
     137: q^2+q
     138: q
     139: q^3+q
     140: q
     141: q^2+q
     142: q
     143: q^3+q
     144: q
     145: 2q
     146: 2q
     147: 2q
     148: 2q
     149: 2q
     150: q^3+2q
     151: q^2+2q
     152: 2q
     153: q^2+2q
     154: 2q
     155: 2q
     156: q^3+2q
     157: 2q
     158: q^2+2q
     159: q^2+2q
     160: q^3+2q
     161: 2q
     162: q
     163: q^2+q
     164: q
     165: q^3+q
     166: q
     167: q^2+q
     168: q
     169: q^3+q
     170: 2q
     171: 2q
     172: 2q
     173: q^3+q
     174: 2q
     175: 2q
     176: 2q
     177: q^3+q
     178: 2q
     179: 2q
     180: 2q
     181: q^3+q
     182: q^2+2q
     183: q^3+2q
     184: q^2+2q
     185: q^3+2q
     186: q
     187: q
     188: q
     189: q^3+q
     190: q
     191: q^2+q
     192: q
     193: q
     194: q
     195: q
     196: q
     197: q^2+q
     198: q
     199: q^2+q
     200: q
     201: q
     202: q
     203: q^3+q
     204: q
     205: q
     207: q
     209: q
     211: q
     213: q^3
     214: q
     215: q
     216: 2q
     217: 2q
     218: 2q
     219: 2q
     220: 2q
     221: 2q
     222: q
     223: 2q
     224: 2q
     225: 2q
     226: 2q
     227: q
     228: 2q
     229: 2q
     230: 2q
     231: 2q
     232: q
     233: q^2+q
     234: q
     235: q^3+q
     236: q
     237: q^2+q
     238: q
     239: q^3+q
     240: q^3+2q
     241: q^2+2q
     242: q^2+2q
     243: 2q
     244: q^2+2q
     245: q^3+2q
     246: q^2+2q
     247: q^3+2q
     248: 2q
     249: 2q
     250: 2q
     251: q^3+q
     252: 2q
     253: 2q
     254: 2q
     255: q^3+q
     256: 2q
     257: 2q
     258: 2q
     259: q^3+q
     263: q
     264: q
     265: q
     267: q
     268: q
     269: q
     270: q
     271: q
     272: q
     273: q^2+q
     274: q
     275: q
     276: q
     277: q^2+q
     278: q
     279: q
     280: q
     281: q
     282: q
     283: q^3+q
     284: q
     285: q^2+q
     286: q
     287: q
     289: q
     291: q
     293: q
     295: q^3
     296: q
     297: 2q
     298: 2q
     299: 2q
     300: q^3+2q
     301: q
     302: q^2+q
     303: q
     304: q^3+q
     305: q
     306: q^2+q
     307: q
     308: q^3+q
     309: q
     310: q
     311: 2q
     312: 2q
     313: 2q
     314: 2q
     315: 2q
     316: q^2+2q
     317: q
     318: q
     319: 2q
     320: 2q
     321: 2q
     322: 2q
     323: 2q
     324: q^2+2q
     326: q
     328: q
     330: q
     332: q^3
     333: 2q
     334: q
     335: 2q
     336: 2q
     337: 2q
     338: 2q
     339: 2q
     340: 2q
     341: q^3+q
     342: 2q
     343: 2q
     344: 2q
     345: q^3+q
     349: q
     353: q
     355: q
     356: q
     357: q
     358: q
     359: q
     360: q
     361: q^3+q
     362: q
     363: q
     365: q
     366: q
     367: q
     368: q
     369: q^2+q
     370: q
     371: q
     373: q
     374: q
     375: q
     376: q
     377: q^2+q
     381: q
     382: q
     383: q
     384: q
     385: q
     386: q
     387: q^2+q
     388: q
     389: q^2+q
     390: q
     391: q
     392: 2q
     393: q
     395: q
     397: q
     399: q
     401: q^3
     402: 2q
     403: q
     404: 2q
     405: 2q
     406: 2q
     407: 2q
     408: q
     409: 2q
     410: 2q
     411: 2q
     412: 2q
     414: q
     416: q
     418: q
     420: q^3
     421: q
     422: q
     423: 2q
     424: 2q
     425: 2q
     426: 2q
     427: 2q
     428: 2q
     429: 2q
     430: 2q
     431: q^3+q
     432: 2q
     433: 2q
     434: 2q
     435: q^3+q
     436: q
     440: q^2+q
     447: q
     449: q
     450: q
     451: q
     455: q
     456: q
     457: q
     459: q
     460: q
     461: q
     463: q
     465: q
     466: q
     467: q
     469: q
     470: q
     471: q
     473: q
     477: q
     480: q
     481: q
     483: q
     484: q
     485: q
     486: q
     487: q
     488: q
     490: q
     492: q
     494: q
     496: q^3
     497: 2q
     498: q
     500: q
     502: q
     504: q
     506: q^3
     507: q
     508: 2q
     509: 2q
     510: q
     511: q
     512: 2q
     513: 2q
     514: 2q
     515: 2q
     516: q
     517: q
     518: 2q
     519: 2q
     520: 2q
     521: q
     522: 2q
     523: 2q
     524: 2q
     525: 2q
     526: 2q
     527: 2q
     528: q^3+q
     533: q
     540: q
     544: q
     547: q
     548: q
     550: q
     554: q
     556: q
     557: q
     558: q
     560: q
     562: q
     566: q
     568: q
     569: q
     570: q
     572: q
     575: q
     576: q
     578: q
     579: q
     580: q
     582: q
     583: q
     584: q
     585: q
     586: q
     588: q
     590: q
     592: q
     594: q^3
     595: q
     596: q
     597: 2q
     598: q
     599: 2q
     600: 2q
     601: q
     602: 2q
     603: 2q
     604: 2q
     605: q
     606: 2q
     607: q
     608: q
     609: 2q
     610: 2q
     611: 1
     612: 1
     613: 1
     614: 1
     619: q
     625: q
     632: q
     635: q
     636: q
     638: q
     639: q
     640: q
     642: q
     646: q
     650: q
     652: q
     656: q
     660: q
     661: q
     662: q
     666: q
     668: q
     669: q
     670: q
     671: q
     672: q
     674: 1
     676: 1
     678: 1
     680: 1
     681: 1
     682: 1
     683: q
     684: 1
     685: q
     686: 2q
     687: q
     688: 1
     689: q
     690: 2q
     691: q
     692: q
     693: 2q
     694: 2q
     699: q
     705: q
     708: 1
     710: 1
     716: q
     717: q
     718: q
     720: 1
     724: q
     728: 1
     732: q
     735: 1
     742: q
     744: q
     745: q
     746: q
     748: q
     749: q
     750: q
     751: 1
     752: q
     753: 1
     754: q
     755: 1
     756: q
     757: 2q
     758: q
     763: q
     766: 1
     775: q
     780: 1
     781: 1
     788: 1
     792: 1
     798: q
     802: q
     803: q
     804: q
     805: q
     806: 1
     807: 1
     808: q
     809: 1
     811: 1
     820: q
     824: 1
     829: 1
     831: 1
     837: 1
     838: 1
     842: q
     843: 1
     845: 1
     851: 1
     862: 1
     865: 1
     866: 1
     868: 1
     874: 1
     877: 1
     880: 1

881:   0: q^3+q
       1: q^3+q
       2: q^4+q^3+q
       3: q^3+q
       4: q^3+q
       5: q
       6: q^3+q
       7: q^3+q
       8: q^4+q^3+q
       9: q
      10: q
      11: q
      12: q^4+q^3+q
      13: q^7+q
      14: q^7+q
      15: q
      16: q
      17: q
      18: q
      19: q^3+q
      20: q^3+q
      21: q^3+q
      22: q^7+q
      23: q^3+q
      24: q^3+q
      25: q
      26: q
      27: q^3+q
      28: q^3+q
      29: q
      30: q^4+q^3+q
      31: q^3+q
      32: q^3+q
      33: q^4+q^3+q
      34: q
      35: q^3+q
      36: q^3+q
      37: q^4+q^3+q
      38: q
      39: q
      40: q
      41: q^3+q
      42: q
      43: q^3+q
      44: q^3+q
      45: q
      46: q^3+q
      47: q^3+q
      48: q^3+q
      50: q^3+q
      52: q^4+q^3+q
      54: q
      56: q
      57: q
      58: q
      59: q
      60: q^3+q
      61: q^3+q
      62: q
      63: q
      64: q^3+q
      65: q
      66: q^3+q
      67: q
      68: q^3+q
      69: q^3+q
      70: q^4+q^3+q
      71: q
      72: q^3+q
      73: q^3+q
      74: q^4+q^3+q
      75: q
      76: q
      78: q^3+q
      80: q^3+q
      82: q
      83: q
      84: q
      85: q
      86: q^3+q
      87: q^3+q
      88: q^3+q
      90: q^3+q
      92: q^4+q^3+q
      94: q
      96: q
      97: q^3+q
      98: q
      99: q^3+q
     100: q
     101: q^3+q
     102: q
     103: q^3+q
     104: q
     105: q
     106: q
     107: q
     108: q^3+q
     109: q
     110: q^3+q
     111: q
     112: q^3+q
     113: q
     114: q^3+q
     115: q
     116: q^3+q
     117: q
     118: q^3+q
     119: q
     120: q^3+q
     121: q^3+q
     122: q^4+q^3+q
     123: q
     124: q^3+q
     126: q
     128: q^3+q
     130: q
     132: q^3+q
     134: q
     135: q
     136: q^3+q
     138: q
     140: q^3+q
     142: q
     144: q
     145: q
     146: q^3+q
     147: q^3+q
     148: q
     149: q
     150: q
     151: q^3+q
     152: q
     153: q^3+q
     154: q
     155: q
     156: q
     157: q
     158: q^3+q
     159: q^3+q
     160: q
     161: q^3+q
     162: q^3+q
     164: q^3+q
     166: q^4+q^3+q
     168: q
     170: q
     171: q
     172: q
     173: q
     174: q^3+q
     175: q
     176: q^3+q
     177: q
     178: q^3+q
     179: q
     180: q^3+q
     181: q
     182: q^3+q
     183: q
     184: q^3+q
     185: q
     186: q
     188: q
     190: q^3+q
     192: q^3+q
     194: q
     196: q^3+q
     198: q^3+q
     200: q
     202: q
     204: q^3+q
     206: q^3+q
     208: q
     210: q^3+q
     212: q
     214: q
     215: q
     216: q
     217: q
     218: q
     219: q
     220: q
     221: q
     222: q
     223: q
     224: q^3+q
     225: q^3+q
     226: q
     227: q
     228: q
     229: q^3+q
     230: q^3+q
     231: q
     232: q^3+q
     234: q
     236: q^3+q
     238: q
     240: q
     241: q^3+q
     242: q^3+q
     243: q
     244: q^3+q
     245: q
     246: q^3+q
     247: q
     248: q
     249: q
     250: q
     251: q
     252: q
     253: q
     254: q
     255: q
     256: q^3+q
     257: q
     258: q^3+q
     259: q
     260: q
     262: q
     264: q
     266: q^3+q
     268: q
     270: q
     272: q^3+q
     274: q^3+q
     276: q^3+q
     278: q^3+q
     280: q
     282: q
     284: q^3+q
     286: q
     288: q
     290: q
     292: q
     294: q
     296: q
     297: q
     298: q
     299: q
     300: q
     301: q^3+q
     303: q
     305: q^3+q
     307: q
     309: q
     310: q
     311: q
     312: q
     313: q
     314: q
     315: q
     316: q^3+q
     317: q
     318: q
     319: q
     320: q
     321: q
     322: q
     323: q
     324: q^3+q
     325: q^3+q
     327: q
     329: q^3+q
     331: q
     333: q
     334: q
     335: q
     336: q^3+q
     337: q^3+q
     338: q^3+q
     339: q
     340: q^3+q
     341: q
     342: q
     343: q
     344: q
     345: q
     346: q
     348: q
     350: q
     352: q
     354: q
     356: q
     358: q
     360: q
     362: q
     364: q^3+q
     366: q
     368: q^3+q
     370: q
     372: q^3+q
     374: q
     376: q^3+q
     378: q
     380: q
     382: q
     384: q^3+q
     386: q^3+q
     388: q^3+q
     390: q
     391: q
     392: q
     393: q
     394: q^3+q
     396: q
     398: q^3+q
     400: q
     402: q
     403: q
     404: q
     405: q
     406: q
     407: q^3+q
     408: q
     409: q
     410: q
     411: q
     412: q^3+q
     413: q
     415: q
     417: q
     419: q
     421: q
     422: q
     423: q
     424: q
     425: q
     426: q
     427: q
     428: q
     429: q
     430: q
     431: q
     432: q
     433: q
     434: q
     435: q
     436: q^3+q
     442: q
     444: q
     446: q
     448: q
     450: q
     452: q
     454: q
     456: q
     458: q
     460: q
     462: q^3+q
     464: q
     466: q
     468: q
     470: q
     472: q^3+q
     474: q
     476: q
     478: q
     480: q
     482: q^3+q
     484: q
     486: q^3+q
     488: q
     489: q
     491: q
     493: q
     495: q
     497: q
     498: q
     499: q
     501: q
     503: q
     505: q
     507: q
     508: q
     509: q
     510: q
     511: q
     512: q
     513: q
     514: q
     515: q
     516: q
     517: q
     518: q
     519: q
     520: q
     521: q
     522: q
     523: q
     524: q
     529: q^3+q
     535: q
     537: q
     539: q
     541: q
     543: q
     545: q
     547: q
     549: q
     551: q
     553: q
     555: q
     557: q
     559: q
     561: q
     563: q
     565: q
     567: q
     569: q
     571: q
     573: q
     575: q
     577: q
     579: q
     581: q
     583: q
     585: q
     596: q
     598: q
     600: q
     601: q
     602: q
     604: q
     605: q
     606: q
     607: q
     608: q
     609: q
     610: q
     615: q
     621: q
     629: q
     633: q
     635: q
     637: q
     639: q
     643: q
     645: q
     647: q
     649: q
     653: q
     655: q
     657: q
     659: q
     663: q
     665: q
     667: q
     669: q
     671: q
     685: q
     687: q
     689: q
     691: q
     692: q
     693: q
     694: q
     695: q
     713: q
     715: q
     721: q
     725: q
     729: q
     733: q
     737: q
     739: q
     741: q
     743: q
     745: q
     747: q
     749: q
     756: q
     758: q
     771: q
     783: q
     793: q
     795: q
     799: q
     801: q
     805: q
     822: 1
     826: q
     840: q
     846: 1
     860: 1
     869: 1
     875: 1
     881: 1

882:   0: q^2+2q
       1: q^3+2q
       2: q^2+2q
       3: q^2+2q
       4: q^2+2q
       5: q^3+2q
       6: q^3+2q
       7: q^3+2q
       8: q^2+2q
       9: q^3+2q
      10: q^3+2q
      11: q^3+2q
      12: q^2+2q
      13: q^3+2q
      14: q^4+q^3+q
      15: q^3+2q
      16: q^3+2q
      17: q^3+2q
      18: q^3+2q
      19: 2q
      20: 2q
      21: 2q
      22: q^3+q
      23: q^2+2q
      24: q^2+2q
      25: q^3+2q
      26: q^3+2q
      27: q^2+2q
      28: q^3+2q
      29: q^3+2q
      30: q^2+2q
      31: q^2+2q
      32: q^3+2q
      33: q^2+2q
      34: q^3+2q
      35: q^2+2q
      36: q^3+2q
      37: q^2+2q
      38: q^3+2q
      39: q^3+2q
      40: q^3+2q
      41: 2q
      42: q^3+2q
      43: 2q
      44: q^2+2q
      45: q^3+2q
      46: 2q
      47: q^2+2q
      48: q^2+q
      49: q
      50: q^3+q
      51: q
      52: q^2+q
      53: q
      54: q^3+q
      55: q
      56: 2q
      57: 2q
      58: 2q
      59: q^3+q
      60: 2q
      61: 2q
      62: 2q
      63: q^3+q
      64: q^2+2q
      65: q^3+2q
      66: q^2+2q
      67: q^3+2q
      68: q^2+2q
      69: q^3+2q
      70: q^2+2q
      71: q^3+2q
      72: q^2+2q
      73: q^3+2q
      74: q^2+2q
      75: q^3+2q
      76: q^3+q
      77: q
      78: q
      79: q
      80: q^2+q
      81: q
      82: q
      83: 2q
      84: 2q
      85: q^3+2q
      86: q^2+2q
      87: q^2+2q
      88: q^2+q
      89: q
      90: q^3+q
      91: q
      92: q^2+q
      93: q
      94: q^3+q
      95: q
      96: 2q
      97: 2q
      98: q^3+2q
      99: 2q
     100: 2q
     101: 2q
     102: q^3+2q
     103: 2q
     104: 2q
     105: 2q
     106: 2q
     107: q^3+q
     108: 2q
     109: 2q
     110: 2q
     111: q^3+q
     112: q^2+2q
     113: q^3+2q
     114: q^2+2q
     115: q^3+2q
     116: q^2+2q
     117: q^3+2q
     118: q^2+2q
     119: q^3+2q
     120: q^2+2q
     121: q^3+2q
     122: q^2+2q
     123: q^3+2q
     124: q^2+q
     125: q
     126: q^3+q
     127: q
     128: q
     129: q
     130: q
     131: q
     132: q
     133: q
     134: q
     135: 2q
     136: q^2+q
     137: q
     138: q^3+q
     139: q
     140: q^2+q
     141: q
     142: q^3+q
     143: q
     144: q
     145: 2q
     146: 2q
     147: 2q
     148: 2q
     149: 2q
     150: q^3+2q
     151: q^2+2q
     152: 2q
     153: q^2+2q
     154: 2q
     155: 2q
     156: q^3+2q
     157: 2q
     158: q^2+2q
     159: q^2+2q
     160: q^3+2q
     161: 2q
     162: q^2+q
     163: q
     164: q^3+q
     165: q
     166: q^2+q
     167: q
     168: q^3+q
     169: q
     170: 2q
     171: 2q
     172: 2q
     173: q^3+q
     174: 2q
     175: 2q
     176: 2q
     177: q^3+q
     178: 2q
     179: 2q
     180: 2q
     181: q^3+q
     182: q^2+2q
     183: q^3+2q
     184: q^2+2q
     185: q^3+2q
     186: q
     187: q
     188: q^3+q
     189: q
     190: q^2+q
     191: q
     192: q
     193: q
     194: q
     195: q
     196: q^2+q
     197: q
     198: q^2+q
     199: q
     200: q
     201: q
     202: q^3+q
     203: q
     204: q
     205: q
     206: q
     208: q
     210: q
     212: q^3
     214: q
     215: q
     216: 2q
     217: 2q
     218: 2q
     219: 2q
     220: 2q
     221: 2q
     222: q
     223: 2q
     224: 2q
     225: 2q
     226: 2q
     227: q
     228: 2q
     229: 2q
     230: 2q
     231: 2q
     232: q^2+q
     233: q
     234: q^3+q
     235: q
     236: q^2+q
     237: q
     238: q^3+q
     239: q
     240: q^3+2q
     241: q^2+2q
     242: q^2+2q
     243: 2q
     244: q^2+2q
     245: q^3+2q
     246: q^2+2q
     247: q^3+2q
     248: 2q
     249: 2q
     250: 2q
     251: q^3+q
     252: 2q
     253: 2q
     254: 2q
     255: q^3+q
     256: 2q
     257: 2q
     258: 2q
     259: q^3+q
     262: q
     264: q
     265: q
     266: q
     268: q
     269: q
     270: q
     271: q
     272: q^2+q
     273: q
     274: q
     275: q
     276: q^2+q
     277: q
     278: q
     279: q
     280: q
     281: q
     282: q^3+q
     283: q
     284: q^2+q
     285: q
     286: q
     287: q
     288: q
     290: q
     292: q
     294: q^3
     296: q
     297: 2q
     298: 2q
     299: 2q
     300: q^3+2q
     301: q^2+q
     302: q
     303: q^3+q
     304: q
     305: q^2+q
     306: q
     307: q^3+q
     308: q
     309: q
     310: q
     311: 2q
     312: 2q
     313: 2q
     314: 2q
     315: 2q
     316: q^2+2q
     317: q
     318: q
     319: 2q
     320: 2q
     321: 2q
     322: 2q
     323: 2q
     324: q^2+2q
     325: q
     327: q
     329: q
     331: q^3
     333: 2q
     334: q
     335: 2q
     336: 2q
     337: 2q
     338: 2q
     339: 2q
     340: 2q
     341: q^3+q
     342: 2q
     343: 2q
     344: 2q
     345: q^3+q
     348: q
     352: q
     354: q
     356: q
     357: q
     358: q
     359: q
     360: q^3+q
     361: q
     362: q
     363: q
     364: q
     366: q
     367: q
     368: q^2+q
     369: q
     370: q
     371: q
     372: q
     374: q
     375: q
     376: q^2+q
     377: q
     380: q
     382: q
     383: q
     384: q
     385: q
     386: q^2+q
     387: q
     388: q^2+q
     389: q
     390: q
     391: q
     392: 2q
     393: q
     394: q
     396: q
     398: q
     400: q^3
     402: 2q
     403: q
     404: 2q
     405: 2q
     406: 2q
     407: 2q
     408: q
     409: 2q
     410: 2q
     411: 2q
     412: 2q
     413: q
     415: q
     417: q
     419: q^3
     421: q
     422: q
     423: 2q
     424: 2q
     425: 2q
     426: 2q
     427: 2q
     428: 2q
     429: 2q
     430: 2q
     431: q^3+q
     432: 2q
     433: 2q
     434: 2q
     435: q^3+q
     436: q^2+q
     440: q
     446: q
     448: q
     450: q
     451: q
     454: q
     456: q
     457: q
     458: q
     460: q
     461: q
     462: q
     464: q
     466: q
     467: q
     468: q
     470: q
     471: q
     472: q
     476: q
     480: q
     481: q
     482: q
     484: q
     485: q
     486: q
     487: q
     488: q
     489: q
     491: q
     493: q
     495: q^3
     497: 2q
     498: q
     499: q
     501: q
     503: q
     505: q^3
     507: q
     508: 2q
     509: 2q
     510: q
     511: q
     512: 2q
     513: 2q
     514: 2q
     515: 2q
     516: q
     517: q
     518: 2q
     519: 2q
     520: 2q
     521: q
     522: 2q
     523: 2q
     524: 2q
     525: 2q
     526: 2q
     527: 2q
     528: q^3+q
     529: q
     539: q
     543: q
     547: q
     548: q
     549: q
     553: q
     555: q
     557: q
     558: q
     559: q
     561: q
     565: q
     567: q
     569: q
     570: q
     571: q
     575: q
     576: q
     577: q
     579: q
     580: q
     581: q
     583: q
     584: q
     585: q
     586: q
     587: q
     589: q
     591: q
     593: q^3
     595: q
     596: q
     597: 2q
     598: q
     599: 2q
     600: 2q
     601: q
     602: 2q
     603: 2q
     604: 2q
     605: q
     606: 2q
     607: q
     608: q
     609: 2q
     610: 2q
     611: 1
     612: 1
     613: 1
     614: 1
     615: q
     621: q
     631: q
     635: q
     636: q
     637: q
     639: q
     640: q
     641: q
     645: q
     649: q
     651: q
     655: q
     659: q
     661: q
     662: q
     665: q
     667: q
     669: q
     670: q
     671: q
     672: q
     673: 1
     675: 1
     677: 1
     679: 1
     681: 1
     682: 1
     683: q
     684: 1
     685: q
     686: 2q
     687: q
     688: 1
     689: q
     690: 2q
     691: q
     692: q
     693: 2q
     694: 2q
     695: q
     701: q
     707: 1
     709: 1
     715: q
     717: q
     718: q
     719: 1
     723: q
     727: 1
     731: q
     736: 1
     741: q
     743: q
     745: q
     746: q
     747: q
     749: q
     750: q
     751: 1
     752: q
     753: 1
     754: q
     755: 1
     756: q
     757: 2q
     758: q
     759: q
     768: 1
     771: q
     779: 1
     782: 1
     787: 1
     791: 1
     797: q
     801: q
     803: q
     804: q
     805: q
     806: 1
     807: 1
     808: q
     809: 1
     813: 1
     816: q
     825: 1
     828: 1
     830: 1
     836: 1
     839: 1
     842: q
     843: 1
     847: 1
     853: 1
     863: 1
     864: 1
     866: 1
     870: 1
     873: 1
     878: 1
     882: 1

883:   0: 1
       1: 1
       2: 1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
       8: 1
       9: 1
      10: 1
      11: 1
      12: 1
      13: 1
      14: 1
      15: 1
      16: 1
      17: 1
      18: 1
      19: 1
      20: 1
      21: 1
      22: 1
      23: 1
      24: 1
      25: 1
      26: 1
      27: 1
      28: 1
      29: 1
      30: 1
      31: 1
      32: 1
      33: 1
      34: 1
      35: 1
      36: 1
      37: 1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      49: 1
      51: 1
      53: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: 1
      63: 1
      64: 1
      65: 1
      66: 1
      67: 1
      68: 1
      69: 1
      70: 1
      71: 1
      72: 1
      73: 1
      74: 1
      75: 1
      77: 1
      79: 1
      81: 1
      82: 1
      83: 1
      84: 1
      85: 1
      86: 1
      87: 1
      89: 1
      91: 1
      93: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: 1
     109: 1
     110: 1
     111: 1
     112: 1
     113: 1
     114: 1
     115: 1
     116: 1
     117: 1
     118: 1
     119: 1
     120: 1
     121: 1
     122: 1
     123: 1
     125: 1
     127: 1
     129: 1
     131: 1
     133: 1
     134: 1
     135: 1
     137: 1
     139: 1
     141: 1
     143: 1
     144: 1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     151: 1
     152: 1
     153: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     161: 1
     163: 1
     165: 1
     167: 1
     169: 1
     170: 1
     171: 1
     172: 1
     173: 1
     174: 1
     175: 1
     176: 1
     177: 1
     178: 1
     179: 1
     180: 1
     181: 1
     182: 1
     183: 1
     184: 1
     185: 1
     187: 1
     189: 1
     191: 1
     193: 1
     195: 1
     197: 1
     199: 1
     201: 1
     203: 1
     205: 1
     207: 1
     209: 1
     211: 1
     213: 1
     214: 1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     223: 1
     224: 1
     225: 1
     226: 1
     227: 1
     228: 1
     229: 1
     230: 1
     231: 1
     233: 1
     235: 1
     237: 1
     239: 1
     240: 1
     241: 1
     242: 1
     243: 1
     244: 1
     245: 1
     246: 1
     247: 1
     248: 1
     249: 1
     250: 1
     251: 1
     252: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     258: 1
     259: 1
     261: 1
     263: 1
     265: 1
     267: 1
     269: 1
     271: 1
     273: 1
     275: 1
     277: 1
     279: 1
     281: 1
     283: 1
     285: 1
     287: 1
     289: 1
     291: 1
     293: 1
     295: 1
     296: 1
     297: 1
     298: 1
     299: 1
     300: 1
     302: 1
     304: 1
     306: 1
     308: 1
     309: 1
     310: 1
     311: 1
     312: 1
     313: 1
     314: 1
     315: 1
     316: 1
     317: 1
     318: 1
     319: 1
     320: 1
     321: 1
     322: 1
     323: 1
     324: 1
     326: 1
     328: 1
     330: 1
     332: 1
     333: 1
     334: 1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: 1
     341: 1
     342: 1
     343: 1
     344: 1
     345: 1
     347: 1
     349: 1
     351: 1
     353: 1
     355: 1
     357: 1
     359: 1
     361: 1
     363: 1
     365: 1
     367: 1
     369: 1
     371: 1
     373: 1
     375: 1
     377: 1
     379: 1
     381: 1
     383: 1
     385: 1
     387: 1
     389: 1
     390: 1
     391: 1
     392: 1
     393: 1
     395: 1
     397: 1
     399: 1
     401: 1
     402: 1
     403: 1
     404: 1
     405: 1
     406: 1
     407: 1
     408: 1
     409: 1
     410: 1
     411: 1
     412: 1
     414: 1
     416: 1
     418: 1
     420: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     426: 1
     427: 1
     428: 1
     429: 1
     430: 1
     431: 1
     432: 1
     433: 1
     434: 1
     435: 1
     440: 1
     443: 1
     445: 1
     447: 1
     449: 1
     451: 1
     453: 1
     455: 1
     457: 1
     459: 1
     461: 1
     463: 1
     465: 1
     467: 1
     469: 1
     471: 1
     473: 1
     475: 1
     477: 1
     479: 1
     481: 1
     483: 1
     485: 1
     487: 1
     488: 1
     490: 1
     492: 1
     494: 1
     496: 1
     497: 1
     498: 1
     500: 1
     502: 1
     504: 1
     506: 1
     507: 1
     508: 1
     509: 1
     510: 1
     511: 1
     512: 1
     513: 1
     514: 1
     515: 1
     516: 1
     517: 1
     518: 1
     519: 1
     520: 1
     521: 1
     522: 1
     523: 1
     524: 1
     525: 1
     526: 1
     527: 1
     528: 1
     533: 1
     536: 1
     538: 1
     540: 1
     542: 1
     544: 1
     546: 1
     548: 1
     550: 1
     552: 1
     554: 1
     556: 1
     558: 1
     560: 1
     562: 1
     564: 1
     566: 1
     568: 1
     570: 1
     572: 1
     574: 1
     576: 1
     578: 1
     580: 1
     582: 1
     584: 1
     586: 1
     588: 1
     590: 1
     592: 1
     594: 1
     595: 1
     596: 1
     597: 1
     598: 1
     599: 1
     600: 1
     601: 1
     602: 1
     603: 1
     604: 1
     605: 1
     606: 1
     607: 1
     608: 1
     609: 1
     610: 1
     611: 1
     612: 1
     613: 1
     614: 1
     619: 1
     625: 1
     628: 1
     630: 1
     632: 1
     634: 1
     636: 1
     638: 1
     640: 1
     642: 1
     644: 1
     646: 1
     648: 1
     650: 1
     652: 1
     654: 1
     656: 1
     658: 1
     660: 1
     662: 1
     664: 1
     666: 1
     668: 1
     670: 1
     672: 1
     674: 1
     676: 1
     678: 1
     680: 1
     681: 1
     682: 1
     683: 1
     684: 1
     685: 1
     686: 1
     687: 1
     688: 1
     689: 1
     690: 1
     691: 1
     692: 1
     693: 1
     694: 1
     699: 1
     705: 1
     708: 1
     710: 1
     712: 1
     714: 1
     716: 1
     718: 1
     720: 1
     722: 1
     724: 1
     726: 1
     728: 1
     730: 1
     732: 1
     734: 1
     736: 1
     738: 1
     740: 1
     742: 1
     744: 1
     746: 1
     748: 1
     750: 1
     751: 1
     752: 1
     753: 1
     754: 1
     755: 1
     756: 1
     757: 1
     758: 1
     763: 1
     769: 1
     775: 1
     778: 1
     780: 1
     782: 1
     784: 1
     786: 1
     788: 1
     790: 1
     792: 1
     794: 1
     796: 1
     798: 1
     800: 1
     802: 1
     804: 1
     805: 1
     806: 1
     807: 1
     808: 1
     809: 1
     814: 1
     820: 1
     823: 1
     825: 1
     827: 1
     829: 1
     831: 1
     833: 1
     835: 1
     837: 1
     839: 1
     841: 1
     842: 1
     843: 1
     848: 1
     854: 1
     857: 1
     859: 1
     861: 1
     863: 1
     865: 1
     866: 1
     871: 1
     874: 1
     876: 1
     878: 1
     883: 1

884:   0: q^3+q
       1: q^3+q
       2: q^4+q^3+q
       3: q^3+q
       4: q^3+q
       5: q
       6: q^3+q
       7: q^3+q
       8: q^4+q^3+q
       9: q
      10: q
      11: q
      12: q^4+q^3+q
      13: q^7+q
      14: q^7+q
      15: q
      16: q
      17: q
      18: q
      19: q^3+q
      20: q^3+q
      21: q^3+q
      22: q^7+q
      23: q^3+q
      24: q^3+q
      25: q
      26: q
      27: q^3+q
      28: q^3+q
      29: q
      30: q^4+q^3+q
      31: q^3+q
      32: q^3+q
      33: q^4+q^3+q
      34: q
      35: q^3+q
      36: q^3+q
      37: q^4+q^3+q
      38: q
      39: q
      40: q
      41: q^3+q
      42: q
      43: q^3+q
      44: q^3+q
      45: q
      46: q^3+q
      47: q^3+q
      49: q^3+q
      51: q^3+q
      53: q^4+q^3+q
      55: q
      56: q
      57: q
      58: q
      59: q
      60: q^3+q
      61: q^3+q
      62: q
      63: q
      64: q^3+q
      65: q
      66: q^3+q
      67: q
      68: q^3+q
      69: q^3+q
      70: q^4+q^3+q
      71: q
      72: q^3+q
      73: q^3+q
      74: q^4+q^3+q
      75: q
      77: q
      79: q^3+q
      81: q^3+q
      82: q
      83: q
      84: q
      85: q
      86: q^3+q
      87: q^3+q
      89: q^3+q
      91: q^3+q
      93: q^4+q^3+q
      95: q
      96: q
      97: q^3+q
      98: q
      99: q^3+q
     100: q
     101: q^3+q
     102: q
     103: q^3+q
     104: q
     105: q
     106: q
     107: q
     108: q^3+q
     109: q
     110: q^3+q
     111: q
     112: q^3+q
     113: q
     114: q^3+q
     115: q
     116: q^3+q
     117: q
     118: q^3+q
     119: q
     120: q^3+q
     121: q^3+q
     122: q^4+q^3+q
     123: q
     125: q^3+q
     127: q
     129: q^3+q
     131: q
     133: q^3+q
     134: q
     135: q
     137: q^3+q
     139: q
     141: q^3+q
     143: q
     144: q
     145: q
     146: q^3+q
     147: q^3+q
     148: q
     149: q
     150: q
     151: q^3+q
     152: q
     153: q^3+q
     154: q
     155: q
     156: q
     157: q
     158: q^3+q
     159: q^3+q
     160: q
     161: q^3+q
     163: q^3+q
     165: q^3+q
     167: q^4+q^3+q
     169: q
     170: q
     171: q
     172: q
     173: q
     174: q^3+q
     175: q
     176: q^3+q
     177: q
     178: q^3+q
     179: q
     180: q^3+q
     181: q
     182: q^3+q
     183: q
     184: q^3+q
     185: q
     187: q
     189: q
     191: q^3+q
     193: q^3+q
     195: q
     197: q^3+q
     199: q^3+q
     201: q
     203: q
     205: q^3+q
     207: q^3+q
     209: q
     211: q^3+q
     213: q
     214: q
     215: q
     216: q
     217: q
     218: q
     219: q
     220: q
     221: q
     222: q
     223: q
     224: q^3+q
     225: q^3+q
     226: q
     227: q
     228: q
     229: q^3+q
     230: q^3+q
     231: q
     233: q^3+q
     235: q
     237: q^3+q
     239: q
     240: q
     241: q^3+q
     242: q^3+q
     243: q
     244: q^3+q
     245: q
     246: q^3+q
     247: q
     248: q
     249: q
     250: q
     251: q
     252: q
     253: q
     254: q
     255: q
     256: q^3+q
     257: q
     258: q^3+q
     259: q
     261: q
     263: q
     265: q
     267: q^3+q
     269: q
     271: q
     273: q^3+q
     275: q^3+q
     277: q^3+q
     279: q^3+q
     281: q
     283: q
     285: q^3+q
     287: q
     289: q
     291: q
     293: q
     295: q
     296: q
     297: q
     298: q
     299: q
     300: q
     302: q^3+q
     304: q
     306: q^3+q
     308: q
     309: q
     310: q
     311: q
     312: q
     313: q
     314: q
     315: q
     316: q^3+q
     317: q
     318: q
     319: q
     320: q
     321: q
     322: q
     323: q
     324: q^3+q
     326: q^3+q
     328: q
     330: q^3+q
     332: q
     333: q
     334: q
     335: q
     336: q^3+q
     337: q^3+q
     338: q^3+q
     339: q
     340: q^3+q
     341: q
     342: q
     343: q
     344: q
     345: q
     347: q
     349: q
     351: q
     353: q
     355: q
     357: q
     359: q
     361: q
     363: q
     365: q^3+q
     367: q
     369: q^3+q
     371: q
     373: q^3+q
     375: q
     377: q^3+q
     379: q
     381: q
     383: q
     385: q^3+q
     387: q^3+q
     389: q^3+q
     390: q
     391: q
     392: q
     393: q
     395: q^3+q
     397: q
     399: q^3+q
     401: q
     402: q
     403: q
     404: q
     405: q
     406: q
     407: q^3+q
     408: q
     409: q
     410: q
     411: q
     412: q^3+q
     414: q
     416: q
     418: q
     420: q
     421: q
     422: q
     423: q
     424: q
     425: q
     426: q
     427: q
     428: q
     429: q
     430: q
     431: q
     432: q
     433: q
     434: q
     435: q
     440: q^3+q
     443: q
     445: q
     447: q
     449: q
     451: q
     453: q
     455: q
     457: q
     459: q
     461: q
     463: q^3+q
     465: q
     467: q
     469: q
     471: q
     473: q^3+q
     475: q
     477: q
     479: q
     481: q
     483: q^3+q
     485: q
     487: q^3+q
     488: q
     490: q
     492: q
     494: q
     496: q
     497: q
     498: q
     500: q
     502: q
     504: q
     506: q
     507: q
     508: q
     509: q
     510: q
     511: q
     512: q
     513: q
     514: q
     515: q
     516: q
     517: q
     518: q
     519: q
     520: q
     521: q
     522: q
     523: q
     524: q
     533: q^3+q
     536: q
     538: q
     540: q
     542: q
     544: q
     546: q
     548: q
     550: q
     552: q
     554: q
     556: q
     558: q
     560: q
     562: q
     564: q
     566: q
     568: q
     570: q
     572: q
     574: q
     576: q
     578: q
     580: q
     582: q
     584: q
     586: q
     596: q
     598: q
     600: q
     601: q
     602: q
     604: q
     605: q
     606: q
     607: q
     608: q
     609: q
     610: q
     619: q
     625: q
     630: q
     634: q
     636: q
     638: q
     640: q
     644: q
     646: q
     648: q
     650: q
     654: q
     656: q
     658: q
     660: q
     664: q
     666: q
     668: q
     670: q
     672: q
     685: q
     687: q
     689: q
     691: q
     692: q
     693: q
     694: q
     699: q
     714: q
     716: q
     722: q
     726: q
     730: q
     734: q
     738: q
     740: q
     742: q
     744: q
     746: q
     748: q
     750: q
     756: q
     758: q
     775: q
     784: q
     794: q
     796: q
     800: q
     802: q
     805: q
     823: 1
     827: q
     841: q
     849: 1
     861: 1
     872: 1
     876: 1
     884: 1

151211 nonzero polynomials, and 17292 zero polynomials,
 at 168503 Bruhat-comparable pairs.