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:  15: 1

 16:  16: 1

 17:  17: 1

 18:  18: 1

 19:  19: 1

 20:   1: 1
       5: 1
      20: 1

 21:   6: 1
      10: 1
      21: 1

 22:   7: 1
      11: 1
      22: 1

 23:  12: 1
      14: 1
      23: 1

 24:  13: 1
      15: 1
      24: 1

 25:  16: 1
      18: 1
      25: 1

 26:   0: 1
       1: 1
      26: 1

 27:   3: 1
       6: 1
      27: 1

 28:   4: 1
       7: 1
      28: 1

 29:   9: 1
      13: 1
      29: 1

 30:  14: 1
      17: 1
      30: 1

 31:  18: 1
      19: 1
      31: 1

 32:   0: 1
       2: 1
      32: 1

 33:   4: 1
       8: 1
      33: 1

 34:   6: 1
      12: 1
      34: 1

 35:  10: 1
      14: 1
      35: 1

 36:  13: 1
      16: 1
      36: 1

 37:  15: 1
      18: 1
      37: 1

 38:   0: 1
       3: 1
      38: 1

 39:   1: 1
       6: 1
      39: 1

 40:   4: 1
       9: 1
      40: 1

 41:   5: 1
      10: 1
      41: 1

 42:   7: 1
      13: 1
      42: 1

 43:  11: 1
      15: 1
      43: 1

 44:   0: 1
       4: 1
      44: 1

 45:   1: 1
       7: 1
      45: 1

 46:   2: 1
       8: 1
      46: 1

 47:   5: 1
      11: 1
      47: 1

 48:   6: 1
      10: 1
      12: 1
      14: 1
      21: 1
      23: 1
      34: 1
      35: 1
      48: 1

 49:  13: 1
      15: 1
      16: 1
      18: 1
      24: 1
      25: 1
      36: 1
      37: 1
      49: 1

 50:   1: 1
       5: 1
       6: 1
      10: 1
      20: 1
      21: 1
      39: 1
      41: 1
      50: 1

 51:   7: 1
      11: 1
      13: 1
      15: 1
      22: 1
      24: 1
      42: 1
      43: 1
      51: 1

 52:   0: 1
       1: 1
       3: 1
       6: 1
      26: 1
      27: 1
      38: 1
      39: 1
      52: 1

 53:   4: 1
       7: 1
       9: 1
      13: 1
      28: 1
      29: 1
      40: 1
      42: 1
      53: 1

 54:   1: 1
       5: 1
       7: 1
      11: 1
      20: 1
      22: 1
      45: 1
      47: 1
      54: 1

 55:   0: 1
       1: 1
       4: 1
       7: 1
      26: 1
      28: 1
      44: 1
      45: 1
      55: 1

 56:   0: 1
       2: 1
       4: 1
       8: 1
      32: 1
      33: 1
      44: 1
      46: 1
      56: 1

 57:   0: 1
       1: 1
       5: 1
      20: 1
      26: 1
      57: 1

 58:   3: 1
       6: 1
      10: 1
      21: 1
      27: 1
      58: 1

 59:   4: 1
       7: 1
      11: 1
      22: 1
      28: 1
      59: 1

 60:   9: 1
      13: 1
      15: 1
      24: 1
      29: 1
      60: 1

 61:  12: 1
      14: 1
      17: 1
      23: 1
      30: 1
      61: 1

 62:  16: 1
      18: 1
      19: 1
      25: 1
      31: 1
      62: 1

 63:   0: 1
       1: 1
       2: 1
      26: 1
      32: 1
      63: 1

 64:   4: 1
       7: 1
       8: 1
      28: 1
      33: 1
      64: 1

 65:   3: 1
       6: 1
      12: 1
      27: 1
      34: 1
      65: 1

 66:   9: 1
      13: 1
      16: 1
      29: 1
      36: 1
      66: 1

 67:  10: 1
      14: 1
      17: 1
      30: 1
      35: 1
      67: 1

 68:  15: 1
      18: 1
      19: 1
      31: 1
      37: 1
      68: 1

 69:   0: 1
       2: 1
       3: 1
      32: 1
      38: 1
      69: 1

 70:   1: 1
       6: 1
      12: 1
      34: 1
      39: 1
      70: 1

 71:   4: 1
       8: 1
       9: 1
      33: 1
      40: 1
      71: 1

 72:   5: 1
      10: 1
      14: 1
      35: 1
      41: 1
      72: 1

 73:   7: 1
      13: 1
      16: 1
      36: 1
      42: 1
      73: 1

 74:  11: 1
      15: 1
      18: 1
      37: 1
      43: 1
      74: 1

 75:   0: 1
       3: 1
       4: 1
       9: 1
      38: 1
      40: 1
      44: 1
      75: 1

 76:   1: 1
       6: 1
       7: 1
      13: 1
      39: 1
      42: 1
      45: 1
      76: 1

 77:   2: 1
       8: 1
      46: 1
      77: 1

 78:   5: 1
      10: 1
      11: 1
      15: 1
      41: 1
      43: 1
      47: 1
      78: 1

 79:   0: 1
       3: 1
       4: 1
      38: 1
      44: 1
      79: 1

 80:   1: 1
       6: 1
       7: 1
      39: 1
      45: 1
      80: 1

 81:   0: 1
       4: 1
       9: 1
      40: 1
      44: 1
      81: 1

 82:   5: 1
      10: 1
      11: 1
      41: 1
      47: 1
      82: 1

 83:   1: 1
       7: 1
      13: 1
      42: 1
      45: 1
      83: 1

 84:   5: 1
      11: 1
      15: 1
      43: 1
      47: 1
      84: 1

 85:   3: 1
       6: 1
      10: q+1
      12: q+1
      14: 1
      17: 1
      21: 1
      23: 1
      27: 1
      30: 1
      34: 1
      35: 1
      48: 1
      58: 1
      61: 1
      65: 1
      67: 1
      85: 1

 86:   9: 1
      13: 1
      15: q+1
      16: q+1
      18: 1
      19: 1
      24: 1
      25: 1
      29: 1
      31: 1
      36: 1
      37: 1
      49: 1
      60: 1
      62: 1
      66: 1
      68: 1
      86: 1

 87:   0: 1
       1: q+1
       2: 1
       3: q+1
       6: 1
      12: 1
      26: 1
      27: 1
      32: 1
      34: 1
      38: 1
      39: 1
      52: 1
      63: 1
      65: 1
      69: 1
      70: 1
      87: 1

 88:   4: 1
       7: q+1
       8: 1
       9: q+1
      13: 1
      16: 1
      28: 1
      29: 1
      33: 1
      36: 1
      40: 1
      42: 1
      53: 1
      64: 1
      66: 1
      71: 1
      73: 1
      88: 1

 89:   0: 1
       1: 1
       3: 1
       5: 1
       6: 1
      10: 1
      20: 1
      21: 1
      26: 1
      27: 1
      38: 1
      39: 1
      41: 1
      50: 1
      52: 1
      57: 1
      58: 1
      89: 1

 90:   4: 1
       7: 1
       9: 1
      11: 1
      13: 1
      15: 1
      22: 1
      24: 1
      28: 1
      29: 1
      40: 1
      42: 1
      43: 1
      51: 1
      53: 1
      59: 1
      60: 1
      90: 1

 91:   1: 1
       5: 1
       6: 1
      10: 1
      12: 1
      14: 1
      20: 1
      21: 1
      23: 1
      34: 1
      35: 1
      39: 1
      41: 1
      48: 1
      50: 1
      70: 1
      72: 1
      91: 1

 92:   7: 1
      11: 1
      13: 1
      15: 1
      16: 1
      18: 1
      22: 1
      24: 1
      25: 1
      36: 1
      37: 1
      42: 1
      43: 1
      49: 1
      51: 1
      73: 1
      74: 1
      92: 1

 93:   0: 1
       2: q+1
       3: 1
       4: 1
       8: q+1
       9: 1
      32: 1
      33: 1
      38: 1
      40: 1
      44: 1
      46: 1
      56: 1
      69: 1
      71: 1
      75: 1
      77: 1
      93: 1

 94:   1: 1
       5: 1
       6: 1
       7: 1
      10: 1
      11: 1
      13: 1
      15: 1
      20: 1
      21: 1
      22: 1
      24: 1
      39: 1
      41: 1
      42: 1
      43: 1
      45: 1
      47: 1
      50: 1
      51: 1
      54: 1
      76: 1
      78: 1
      94: 1

 95:   0: 1
       1: 1
       3: 1
       4: 1
       6: 1
       7: 1
       9: 1
      13: 1
      26: 1
      27: 1
      28: 1
      29: 1
      38: 1
      39: 1
      40: 1
      42: 1
      44: 1
      45: 1
      52: 1
      53: 1
      55: 1
      75: 1
      76: 1
      95: 1

 96:   0: 1
       1: 1
       4: 1
       5: 1
       7: 1
      11: 1
      20: 1
      22: 1
      26: 1
      28: 1
      44: 1
      45: 1
      47: 1
      54: 1
      55: 1
      57: 1
      59: 1
      96: 1

 97:   0: 1
       1: 1
       2: 1
       4: 1
       7: 1
       8: 1
      26: 1
      28: 1
      32: 1
      33: 1
      44: 1
      45: 1
      46: 1
      55: 1
      56: 1
      63: 1
      64: 1
      97: 1

 98:   1: 1
       5: 1
       6: 1
       7: 1
      10: 1
      11: 1
      20: 1
      21: 1
      22: 1
      39: 1
      41: 1
      45: 1
      47: 1
      50: 1
      54: 1
      80: 1
      82: 1
      98: 1

 99:   1: 1
       5: 1
       7: 1
      11: 1
      13: 1
      15: 1
      20: 1
      22: 1
      24: 1
      42: 1
      43: 1
      45: 1
      47: 1
      51: 1
      54: 1
      83: 1
      84: 1
      99: 1

100:   0: 1
       1: 1
       3: 1
       4: 1
       6: 1
       7: 1
      26: 1
      27: 1
      28: 1
      38: 1
      39: 1
      44: 1
      45: 1
      52: 1
      55: 1
      79: 1
      80: 1
     100: 1

101:   0: 1
       1: 1
       4: 1
       7: 1
       9: 1
      13: 1
      26: 1
      28: 1
      29: 1
      40: 1
      42: 1
      44: 1
      45: 1
      53: 1
      55: 1
      81: 1
      83: 1
     101: 1

102:   0: 1
       3: 1
       4: 1
       9: 1
      38: 1
      40: 1
      44: 1
      75: 1
      79: 1
      81: 1
     102: 1

103:   3: q
       9: q
      75: 1
     103: 1

104:   1: 1
       6: 1
       7: 1
      13: 1
      39: 1
      42: 1
      45: 1
      76: 1
      80: 1
      83: 1
     104: 1

105:   6: q
      13: q
      76: 1
     105: 1

106:   5: 1
      10: 1
      11: 1
      15: 1
      41: 1
      43: 1
      47: 1
      78: 1
      82: 1
      84: 1
     106: 1

107:  10: q
      15: q
      78: 1
     107: 1

108:   0: 1
       1: 1
       2: 1
       5: 1
      20: 1
      26: 1
      32: 1
      57: 1
      63: 1
     108: 1

109:   4: 1
       7: 1
       8: 1
      11: 1
      22: 1
      28: 1
      33: 1
      59: 1
      64: 1
     109: 1

110:   3: q+1
       6: 1
      10: 1
      12: 1
      14: 1
      21: 1
      23: 1
      27: 1
      34: 1
      35: 1
      48: 1
      58: 1
      65: 1
     110: 1

111:   6: 1
      10: 1
      12: 1
      14: 1
      17: q+1
      21: 1
      23: 1
      30: 1
      34: 1
      35: 1
      48: 1
      61: 1
      67: 1
     111: 1

112:   9: q+1
      13: 1
      15: 1
      16: 1
      18: 1
      24: 1
      25: 1
      29: 1
      36: 1
      37: 1
      49: 1
      60: 1
      66: 1
     112: 1

113:  13: 1
      15: 1
      16: 1
      18: 1
      19: q+1
      24: 1
      25: 1
      31: 1
      36: 1
      37: 1
      49: 1
      62: 1
      68: 1
     113: 1

114:   0: 1
       2: 1
       3: q+1
       4: 1
       8: 1
       9: q+1
      32: 1
      33: 1
      38: 1
      40: 1
      44: 1
      46: 1
      56: 1
      69: 1
      71: 1
      75: 1
     114: 1

115:   1: 1
       6: 1
       7: 1
      12: 1
      13: 1
      16: 1
      34: 1
      36: 1
      39: 1
      42: 1
      45: 1
      70: 1
      73: 1
      76: 1
     115: 1

116:   0: 1
       2: 1
       4: 1
       8: 1
      32: 1
      33: 1
      44: 1
      46: 1
      56: 1
      77: 1
     116: 1

117:   5: 1
      10: 1
      11: 1
      14: 1
      15: 1
      18: 1
      35: 1
      37: 1
      41: 1
      43: 1
      47: 1
      72: 1
      74: 1
      78: 1
     117: 1

118:   0: 1
       1: 1
       2: q+1
       3: 1
       6: 1
      26: 1
      27: 1
      32: 1
      38: 1
      39: 1
      52: 1
      63: 1
      69: 1
     118: 1

119:   0: 1
       1: 1
       3: 1
       6: 1
      12: q+1
      26: 1
      27: 1
      34: 1
      38: 1
      39: 1
      52: 1
      65: 1
      70: 1
     119: 1

120:   4: 1
       7: 1
       8: q+1
       9: 1
      13: 1
      28: 1
      29: 1
      33: 1
      40: 1
      42: 1
      53: 1
      64: 1
      71: 1
     120: 1

121:   5: 1
      10: 1
      14: 1
      17: 1
      30: 1
      35: 1
      41: 1
      67: 1
      72: 1
     121: 1

122:   4: 1
       7: 1
       9: 1
      13: 1
      16: q+1
      28: 1
      29: 1
      36: 1
      40: 1
      42: 1
      53: 1
      66: 1
      73: 1
     122: 1

123:  11: 1
      15: 1
      18: 1
      19: 1
      31: 1
      37: 1
      43: 1
      68: 1
      74: 1
     123: 1

124:   0: 1
       2: 1
       3: q+1
       4: 1
       8: 1
      32: 1
      33: 1
      38: 1
      44: 1
      46: 1
      56: 1
      69: 1
      79: 1
     124: 1

125:   1: 1
       6: 1
       7: 1
      12: 1
      34: 1
      39: 1
      45: 1
      70: 1
      80: 1
     125: 1

126:   0: 1
       2: 1
       4: 1
       8: 1
       9: q+1
      32: 1
      33: 1
      40: 1
      44: 1
      46: 1
      56: 1
      71: 1
      81: 1
     126: 1

127:   5: 1
      10: 1
      11: 1
      14: 1
      35: 1
      41: 1
      47: 1
      72: 1
      82: 1
     127: 1

128:   1: 1
       7: 1
      13: 1
      16: 1
      36: 1
      42: 1
      45: 1
      73: 1
      83: 1
     128: 1

129:   5: 1
      11: 1
      15: 1
      18: 1
      37: 1
      43: 1
      47: 1
      74: 1
      84: 1
     129: 1

130:   1: 1
       5: 1
       6: 1
       7: 1
      10: 1
      11: 1
      13: 1
      15: 1
      20: 1
      21: 1
      22: 1
      24: 1
      39: 1
      41: 1
      42: 1
      43: 1
      45: 1
      47: 1
      50: 1
      51: 1
      54: 1
      76: 1
      78: 1
      80: 1
      82: 1
      83: 1
      84: 1
      94: 1
      98: 1
      99: 1
     104: 1
     106: 1
     130: 1

131:   6: q
      10: q
      13: q
      15: q
      21: q
      24: q
      76: 1
      78: 1
      94: 1
     105: 1
     107: 1
     131: 1

132:   0: 1
       1: 1
       3: 1
       4: 1
       6: 1
       7: 1
       9: 1
      13: 1
      26: 1
      27: 1
      28: 1
      29: 1
      38: 1
      39: 1
      40: 1
      42: 1
      44: 1
      45: 1
      52: 1
      53: 1
      55: 1
      75: 1
      76: 1
      79: 1
      80: 1
      81: 1
      83: 1
      95: 1
     100: 1
     101: 1
     102: 1
     104: 1
     132: 1

133:   3: q
       6: q
       9: q
      13: q
      27: q
      29: q
      75: 1
      76: 1
      95: 1
     103: 1
     105: 1
     133: 1

134:   3: 1
       6: 1
      10: 1
      12: 1
      14: 1
      17: 1
      21: 1
      23: 1
      27: 1
      30: 1
      34: 1
      35: 1
      48: 1
      58: 1
      61: 1
      65: 1
      67: 1
      85: 1
     110: 1
     111: 1
     134: 1

135:   9: 1
      13: 1
      15: 1
      16: 1
      18: 1
      19: 1
      24: 1
      25: 1
      29: 1
      31: 1
      36: 1
      37: 1
      49: 1
      60: 1
      62: 1
      66: 1
      68: 1
      86: 1
     112: 1
     113: 1
     135: 1

136:   0: 1
       1: q+1
       2: 1
       3: q+1
       5: q+1
       6: 1
      10: 1
      12: 1
      14: 1
      20: q+1
      21: 1
      23: 1
      26: 1
      27: 1
      32: 1
      34: 1
      35: 1
      38: 1
      39: 1
      41: 1
      48: 1
      50: 1
      52: 1
      57: 1
      58: 1
      63: 1
      65: 1
      69: 1
      70: 1
      72: 1
      87: 1
      89: 1
      91: 1
     108: 1
     110: 1
     136: 1

137:   4: 1
       7: q+1
       8: 1
       9: q+1
      11: q+1
      13: 1
      15: 1
      16: 1
      18: 1
      22: q+1
      24: 1
      25: 1
      28: 1
      29: 1
      33: 1
      36: 1
      37: 1
      40: 1
      42: 1
      43: 1
      49: 1
      51: 1
      53: 1
      59: 1
      60: 1
      64: 1
      66: 1
      71: 1
      73: 1
      74: 1
      88: 1
      90: 1
      92: 1
     109: 1
     112: 1
     137: 1

138:   0: 1
       1: q+1
       2: 1
       3: q+1
       4: 1
       6: 1
       7: q+1
       8: 1
       9: q+1
      12: 1
      13: 1
      16: 1
      26: 1
      27: 1
      28: 1
      29: 1
      32: 1
      33: 1
      34: 1
      36: 1
      38: 1
      39: 1
      40: 1
      42: 1
      44: 1
      45: q+1
      46: 1
      52: 1
      53: 1
      55: 1
      56: 1
      63: 1
      64: 1
      65: 1
      66: 1
      69: 1
      70: 1
      71: 1
      73: 1
      75: 1
      76: 1
      87: 1
      88: 1
      95: 1
      97: 1
     114: 1
     115: 1
     138: 1

139:   1: 1
       5: 1
       6: 1
       7: 1
      10: 1
      11: 1
      12: 1
      13: 1
      14: 1
      15: 1
      16: 1
      18: 1
      20: 1
      21: 1
      22: 1
      23: 1
      24: 1
      25: 1
      34: 1
      35: 1
      36: 1
      37: 1
      39: 1
      41: 1
      42: 1
      43: 1
      45: 1
      47: 1
      48: 1
      49: 1
      50: 1
      51: 1
      54: 1
      70: 1
      72: 1
      73: 1
      74: 1
      76: 1
      78: 1
      91: 1
      92: 1
      94: 1
     115: 1
     117: 1
     139: 1

140:   0: 1
       1: 1
       3: 1
       5: q+1
       6: 1
      10: q+1
      12: q+1
      14: 1
      17: 1
      20: 1
      21: 1
      23: 1
      26: 1
      27: 1
      30: 1
      34: 1
      35: 1
      38: 1
      39: 1
      41: q+1
      48: 1
      50: 1
      52: 1
      57: 1
      58: 1
      61: 1
      65: 1
      67: 1
      70: 1
      72: 1
      85: 1
      89: 1
      91: 1
     119: 1
     121: 1
     140: 1

141:   4: 1
       7: 1
       9: 1
      11: q+1
      13: 1
      15: q+1
      16: q+1
      18: 1
      19: 1
      22: 1
      24: 1
      25: 1
      28: 1
      29: 1
      31: 1
      36: 1
      37: 1
      40: 1
      42: 1
      43: q+1
      49: 1
      51: 1
      53: 1
      59: 1
      60: 1
      62: 1
      66: 1
      68: 1
      73: 1
      74: 1
      86: 1
      90: 1
      92: 1
     122: 1
     123: 1
     141: 1

142:   0: 1
       1: 1
       2: 1
       3: 1
       6: 1
      12: 1
      26: 1
      27: 1
      32: 1
      34: 1
      38: 1
      39: 1
      52: 1
      63: 1
      65: 1
      69: 1
      70: 1
      87: 1
     118: 1
     119: 1
     142: 1

143:   4: 1
       7: 1
       8: 1
       9: 1
      13: 1
      16: 1
      28: 1
      29: 1
      33: 1
      36: 1
      40: 1
      42: 1
      53: 1
      64: 1
      66: 1
      71: 1
      73: 1
      88: 1
     120: 1
     122: 1
     143: 1

144:   0: 1
       2: 1
       3: 1
       4: 1
       8: 1
       9: 1
      32: 1
      33: 1
      38: 1
      40: 1
      44: 1
      46: 1
      56: 1
      69: 1
      71: 1
      75: 1
      77: 1
      93: 1
     114: 1
     116: 1
     144: 1

145:   0: 1
       1: 1
       2: q+1
       3: 1
       4: 1
       6: 1
       7: 1
       8: q+1
       9: 1
      13: 1
      26: 1
      27: 1
      28: 1
      29: 1
      32: 1
      33: 1
      38: 1
      39: 1
      40: 1
      42: 1
      44: 1
      45: 1
      46: 1
      52: 1
      53: 1
      55: 1
      56: 1
      63: 1
      64: 1
      69: 1
      71: 1
      75: 1
      76: 1
      77: 1
      93: 1
      95: 1
      97: 1
     118: 1
     120: 1
     145: 1

146:   0: 1
       1: 1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
       9: 1
      10: 1
      11: 1
      13: 1
      15: 1
      20: 1
      21: 1
      22: 1
      24: 1
      26: 1
      27: 1
      28: 1
      29: 1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      45: 1
      47: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      57: 1
      58: 1
      59: 1
      60: 1
      75: 1
      76: 1
      78: 1
      89: 1
      90: 1
      94: 1
      95: 1
      96: 1
     146: 1

147:   0: 1
       1: 1
       2: 1
       4: 1
       5: 1
       7: 1
       8: 1
      11: 1
      20: 1
      22: 1
      26: 1
      28: 1
      32: 1
      33: 1
      44: 1
      45: 1
      46: 1
      47: 1
      54: 1
      55: 1
      56: 1
      57: 1
      59: 1
      63: 1
      64: 1
      96: 1
      97: 1
     108: 1
     109: 1
     147: 1

148:   0: 1
       1: q+1
       2: 1
       3: q+1
       4: 1
       6: 1
       7: q+1
       8: 1
      12: 1
      26: 1
      27: 1
      28: 1
      32: 1
      33: 1
      34: 1
      38: 1
      39: 1
      44: 1
      45: q+1
      46: 1
      52: 1
      55: 1
      56: 1
      63: 1
      64: 1
      65: 1
      69: 1
      70: 1
      79: 1
      80: 1
      87: 1
      97: 1
     100: 1
     124: 1
     125: 1
     148: 1

149:   0: 1
       1: q+1
       2: 1
       4: 1
       7: q+1
       8: 1
       9: q+1
      13: 1
      16: 1
      26: 1
      28: 1
      29: 1
      32: 1
      33: 1
      36: 1
      40: 1
      42: 1
      44: 1
      45: q+1
      46: 1
      53: 1
      55: 1
      56: 1
      63: 1
      64: 1
      66: 1
      71: 1
      73: 1
      81: 1
      83: 1
      88: 1
      97: 1
     101: 1
     126: 1
     128: 1
     149: 1

150:   0: 1
       2: 1
       3: q+1
       4: 1
       8: 1
       9: q+1
      32: 1
      33: 1
      38: 1
      40: 1
      44: 1
      46: 1
      56: 1
      69: 1
      71: 1
      75: 1
      79: 1
      81: 1
     102: 1
     114: 1
     124: 1
     126: 1
     150: 1

151:   3: q
       9: q
      75: 1
     103: 1
     114: 1
     151: 1

152:   1: q+1
       6: 1
       7: q+1
      12: 1
      13: 1
      16: 1
      34: 1
      36: 1
      39: 1
      42: 1
      45: q+1
      70: 1
      73: 1
      76: 1
      80: 1
      83: 1
     104: 1
     115: 1
     125: 1
     128: 1
     152: 1

153:   6: q
      12: q
      13: q
      16: q
      34: q
      36: q
      76: 1
     105: 1
     115: 1
     153: 1

154:   5: q+1
      10: 1
      11: q+1
      14: 1
      15: 1
      18: 1
      35: 1
      37: 1
      41: 1
      43: 1
      47: q+1
      72: 1
      74: 1
      78: 1
      82: 1
      84: 1
     106: 1
     117: 1
     127: 1
     129: 1
     154: 1

155:  10: q
      14: q
      15: q
      18: q
      35: q
      37: q
      78: 1
     107: 1
     117: 1
     155: 1

156:   1: 1
       5: 1
       6: 1
       7: 1
      10: 1
      11: 1
      12: 1
      14: 1
      20: 1
      21: 1
      22: 1
      23: 1
      34: 1
      35: 1
      39: 1
      41: 1
      45: 1
      47: 1
      48: 1
      50: 1
      54: 1
      70: 1
      72: 1
      80: 1
      82: 1
      91: 1
      98: 1
     125: 1
     127: 1
     156: 1

157:   1: 1
       5: 1
       7: 1
      11: 1
      13: 1
      15: 1
      16: 1
      18: 1
      20: 1
      22: 1
      24: 1
      25: 1
      36: 1
      37: 1
      42: 1
      43: 1
      45: 1
      47: 1
      49: 1
      51: 1
      54: 1
      73: 1
      74: 1
      83: 1
      84: 1
      92: 1
      99: 1
     128: 1
     129: 1
     157: 1

158:   0: 1
       1: 1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
      10: 1
      11: 1
      20: 1
      21: 1
      22: 1
      26: 1
      27: 1
      28: 1
      38: 1
      39: 1
      41: 1
      44: 1
      45: 1
      47: 1
      50: 1
      52: 1
      54: 1
      55: 1
      57: 1
      58: 1
      59: 1
      79: 1
      80: 1
      82: 1
      89: 1
      96: 1
      98: 1
     100: 1
     158: 1

159:   0: 1
       1: 1
       4: 1
       5: 1
       7: 1
       9: 1
      11: 1
      13: 1
      15: 1
      20: 1
      22: 1
      24: 1
      26: 1
      28: 1
      29: 1
      40: 1
      42: 1
      43: 1
      44: 1
      45: 1
      47: 1
      51: 1
      53: 1
      54: 1
      55: 1
      57: 1
      59: 1
      60: 1
      81: 1
      83: 1
      84: 1
      90: 1
      96: 1
      99: 1
     101: 1
     159: 1

160:   0: 1
       2: q+1
       3: q+1
       4: 1
       8: q+1
       9: q+1
      32: 1
      33: 1
      38: 1
      40: 1
      44: 1
      46: q+1
      56: 1
      69: 1
      71: 1
      75: 2
      77: 1
      79: 1
      81: 1
      93: 1
     102: 1
     103: 1
     124: 1
     126: 1
     160: 1

161:   0: 1
       1: 1
       2: q+1
       3: q+1
       4: 1
       6: q+1
       7: 1
       8: q+1
       9: q+1
      13: q+1
      26: 1
      27: q+1
      28: 1
      29: q+1
      32: 1
      33: 1
      38: 1
      39: 1
      40: 1
      42: 1
      44: 1
      45: 1
      46: q+1
      52: 1
      53: 1
      55: 1
      56: 1
      63: 1
      64: 1
      69: 1
      71: 1
      75: 1
      76: 1
      95: 1
      97: 1
     114: 1
     118: 1
     120: 1
     161: 1

162:   0: 1
       1: 1
       3: 1
       4: 1
       6: 1
       7: 1
       9: 1
      12: q+1
      13: 1
      16: q+1
      26: 1
      27: 1
      28: 1
      29: 1
      34: 1
      36: 1
      38: 1
      39: 1
      40: 1
      42: 1
      44: 1
      45: 1
      52: 1
      53: 1
      55: 1
      65: 1
      66: 1
      70: 1
      73: 1
      75: 1
      76: 1
      95: 1
     115: 1
     119: 1
     122: 1
     162: 1

163:   0: 1
       1: 1
       2: 1
       4: 1
       7: 1
       8: 1
      26: 1
      28: 1
      32: 1
      33: 1
      44: 1
      45: 1
      46: 1
      55: 1
      56: 1
      63: 1
      64: 1
      77: 1
      97: 1
     116: 1
     163: 1

164:   5: 1
      10: 1
      11: 1
      14: 1
      15: 1
      17: 1
      18: 1
      19: 1
      30: 1
      31: 1
      35: 1
      37: 1
      41: 1
      43: 1
      47: 1
      67: 1
      68: 1
      72: 1
      74: 1
      78: 1
     117: 1
     121: 1
     123: 1
     164: 1

165:   0: 1
       1: 1
       2: q+1
       3: 1
       5: 1
       6: 1
      10: 1
      20: 1
      21: 1
      26: 1
      27: 1
      32: 1
      38: 1
      39: 1
      41: 1
      50: 1
      52: 1
      57: 1
      58: 1
      63: 1
      69: 1
      89: 1
     108: 1
     118: 1
     165: 1

166:   0: q+1
       1: 1
       3: q+1
       5: 1
       6: 1
      10: 1
      12: q+1
      14: q+1
      20: 1
      21: 1
      23: q+1
      26: 1
      27: 1
      34: 1
      35: 1
      38: q+1
      39: 1
      41: 1
      48: 1
      50: 1
      52: 1
      57: 1
      58: 1
      65: 1
      70: 1
      72: 1
      89: 1
      91: 1
     110: 1
     119: 1
     166: 1

167:   4: 1
       7: 1
       8: q+1
       9: 1
      11: 1
      13: 1
      15: 1
      22: 1
      24: 1
      28: 1
      29: 1
      33: 1
      40: 1
      42: 1
      43: 1
      51: 1
      53: 1
      59: 1
      60: 1
      64: 1
      71: 1
      90: 1
     109: 1
     120: 1
     167: 1

168:   1: 1
       5: 1
       6: 1
      10: 1
      12: 1
      14: 1
      17: q+1
      20: 1
      21: 1
      23: 1
      30: 1
      34: 1
      35: 1
      39: 1
      41: 1
      48: 1
      50: 1
      61: 1
      67: 1
      70: 1
      72: 1
      91: 1
     111: 1
     121: 1
     168: 1

169:   4: q+1
       7: 1
       9: q+1
      11: 1
      13: 1
      15: 1
      16: q+1
      18: q+1
      22: 1
      24: 1
      25: q+1
      28: 1
      29: 1
      36: 1
      37: 1
      40: q+1
      42: 1
      43: 1
      49: 1
      51: 1
      53: 1
      59: 1
      60: 1
      66: 1
      73: 1
      74: 1
      90: 1
      92: 1
     112: 1
     122: 1
     169: 1

170:   7: 1
      11: 1
      13: 1
      15: 1
      16: 1
      18: 1
      19: q+1
      22: 1
      24: 1
      25: 1
      31: 1
      36: 1
      37: 1
      42: 1
      43: 1
      49: 1
      51: 1
      62: 1
      68: 1
      73: 1
      74: 1
      92: 1
     113: 1
     123: 1
     170: 1

171:   0: q+1
       2: 1
       3: q+1
       4: 1
       8: q+1
       9: 1
      32: 1
      33: 1
      38: q+1
      40: 1
      44: 1
      46: 1
      56: 1
      69: 1
      71: 1
      75: 1
      77: 1
      79: 1
      81: 1
      93: 1
     102: 1
     124: 1
     171: 1

172:   1: 1
       6: 1
       7: 1
      12: 1
      13: 1
      34: 1
      39: 1
      42: 1
      45: 1
      70: 1
      76: 1
      80: 1
      83: 1
     104: 1
     125: 1
     172: 1

173:   0: 1
       2: q+1
       3: 1
       4: q+1
       8: 1
       9: q+1
      32: 1
      33: 1
      38: 1
      40: q+1
      44: 1
      46: 1
      56: 1
      69: 1
      71: 1
      75: 1
      77: 1
      79: 1
      81: 1
      93: 1
     102: 1
     126: 1
     173: 1

174:   5: 1
      10: 1
      11: 1
      14: 1
      15: 1
      35: 1
      41: 1
      43: 1
      47: 1
      72: 1
      78: 1
      82: 1
      84: 1
     106: 1
     127: 1
     174: 1

175:   1: 1
       6: 1
       7: 1
      13: 1
      16: 1
      36: 1
      39: 1
      42: 1
      45: 1
      73: 1
      76: 1
      80: 1
      83: 1
     104: 1
     128: 1
     175: 1

176:   5: 1
      10: 1
      11: 1
      15: 1
      18: 1
      37: 1
      41: 1
      43: 1
      47: 1
      74: 1
      78: 1
      82: 1
      84: 1
     106: 1
     129: 1
     176: 1

177:   0: 1
       1: 1
       2: q+1
       3: q+1
       4: 1
       6: q+1
       7: 1
       8: q+1
      26: 1
      27: q+1
      28: 1
      32: 1
      33: 1
      38: 1
      39: 1
      44: 1
      45: 1
      46: q+1
      52: 1
      55: 1
      56: 1
      63: 1
      64: 1
      69: 1
      79: 1
      80: 1
      97: 1
     100: 1
     118: 1
     124: 1
     177: 1

178:   0: 1
       1: 1
       3: 1
       4: 1
       6: 1
       7: 1
      12: q+1
      26: 1
      27: 1
      28: 1
      34: 1
      38: 1
      39: 1
      44: 1
      45: 1
      52: 1
      55: 1
      65: 1
      70: 1
      79: 1
      80: 1
     100: 1
     119: 1
     125: 1
     178: 1

179:   0: 1
       1: 1
       2: q+1
       4: 1
       7: 1
       8: q+1
       9: q+1
      13: q+1
      26: 1
      28: 1
      29: q+1
      32: 1
      33: 1
      40: 1
      42: 1
      44: 1
      45: 1
      46: q+1
      53: 1
      55: 1
      56: 1
      63: 1
      64: 1
      71: 1
      81: 1
      83: 1
      97: 1
     101: 1
     120: 1
     126: 1
     179: 1

180:   5: 1
      10: 1
      11: 1
      14: 1
      17: 1
      30: 1
      35: 1
      41: 1
      47: 1
      67: 1
      72: 1
      82: 1
     121: 1
     127: 1
     180: 1

181:   0: 1
       1: 1
       4: 1
       7: 1
       9: 1
      13: 1
      16: q+1
      26: 1
      28: 1
      29: 1
      36: 1
      40: 1
      42: 1
      44: 1
      45: 1
      53: 1
      55: 1
      66: 1
      73: 1
      81: 1
      83: 1
     101: 1
     122: 1
     128: 1
     181: 1

182:   5: 1
      11: 1
      15: 1
      18: 1
      19: 1
      31: 1
      37: 1
      43: 1
      47: 1
      68: 1
      74: 1
      84: 1
     123: 1
     129: 1
     182: 1

183:   0: 1
       1: q+1
       2: 1
       3: q+1
       4: 1
       6: 1
       7: q+1
       8: 1
       9: q+1
      12: 1
      13: 1
      16: 1
      26: 1
      27: 1
      28: 1
      29: 1
      32: 1
      33: 1
      34: 1
      36: 1
      38: 1
      39: 1
      40: 1
      42: 1
      44: 1
      45: q+1
      46: 1
      52: 1
      53: 1
      55: 1
      56: 1
      63: 1
      64: 1
      65: 1
      66: 1
      69: 1
      70: 1
      71: 1
      73: 1
      75: 1
      76: 1
      79: 1
      80: 1
      81: 1
      83: 1
      87: 1
      88: 1
      95: 1
      97: 1
     100: 1
     101: 1
     102: 1
     104: 1
     114: 1
     115: 1
     124: 1
     125: 1
     126: 1
     128: 1
     132: 1
     138: 1
     148: 1
     149: 1
     150: 1
     152: 1
     183: 1

184:   3: q^2+q
       6: q
       9: q^2+q
      12: q
      13: q
      16: q
      27: q
      29: q
      34: q
      36: q
      65: q
      66: q
      75: 1
      76: 1
      95: 1
     103: 1
     105: 1
     114: 1
     115: 1
     133: 1
     138: 1
     151: 1
     153: 1
     184: 1

185:   1: q+1
       5: q+1
       6: 1
       7: q+1
      10: 1
      11: q+1
      12: 1
      13: 1
      14: 1
      15: 1
      16: 1
      18: 1
      20: q+1
      21: 1
      22: q+1
      23: 1
      24: 1
      25: 1
      34: 1
      35: 1
      36: 1
      37: 1
      39: 1
      41: 1
      42: 1
      43: 1
      45: q+1
      47: q+1
      48: 1
      49: 1
      50: 1
      51: 1
      54: q+1
      70: 1
      72: 1
      73: 1
      74: 1
      76: 1
      78: 1
      80: 1
      82: 1
      83: 1
      84: 1
      91: 1
      92: 1
      94: 1
      98: 1
      99: 1
     104: 1
     106: 1
     115: 1
     117: 1
     125: 1
     127: 1
     128: 1
     129: 1
     130: 1
     139: 1
     152: 1
     154: 1
     156: 1
     157: 1
     185: 1

186:   6: q
      10: q
      12: q
      13: q
      14: q
      15: q
      16: q
      18: q
      21: q
      23: q
      24: q
      25: q
      34: q
      35: q
      36: q
      37: q
      48: q
      49: q
      76: 1
      78: 1
      94: 1
     105: 1
     107: 1
     115: 1
     117: 1
     131: 1
     139: 1
     153: 1
     155: 1
     186: 1

187:   0: 1
       1: 1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
       9: 1
      10: 1
      11: 1
      13: 1
      15: 1
      20: 1
      21: 1
      22: 1
      24: 1
      26: 1
      27: 1
      28: 1
      29: 1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      45: 1
      47: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      57: 1
      58: 1
      59: 1
      60: 1
      75: 1
      76: 1
      78: 1
      79: 1
      80: 1
      81: 1
      82: 1
      83: 1
      84: 1
      89: 1
      90: 1
      94: 1
      95: 1
      96: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     106: 1
     130: 1
     132: 1
     146: 1
     158: 1
     159: 1
     187: 1

188:   3: q
       6: q
       9: q
      10: q
      13: q
      15: q
      21: q
      24: q
      27: q
      29: q
      58: q
      60: q
      75: 1
      76: 1
      78: 1
      94: 1
      95: 1
     103: 1
     105: 1
     107: 1
     131: 1
     133: 1
     146: 1
     188: 1

189:   0: 1
       1: 1
       3: 1
       4: 1
       5: q+1
       6: 1
       7: 1
       9: 1
      10: q+1
      11: q+1
      12: q+1
      13: 1
      14: 1
      15: q+1
      16: q+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
      34: 1
      35: 1
      36: 1
      37: 1
      38: 1
      39: 1
      40: 1
      41: q+1
      42: 1
      43: q+1
      44: 1
      45: 1
      47: q+1
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: 1
      65: 1
      66: 1
      67: 1
      68: 1
      70: 1
      72: 1
      73: 1
      74: 1
      75: 1
      76: 1
      78: q+1
      85: 1
      86: 1
      89: 1
      90: 1
      91: 1
      92: 1
      94: 1
      95: 1
      96: 1
     115: 1
     117: 1
     119: 1
     121: 1
     122: 1
     123: 1
     139: 1
     140: 1
     141: 1
     146: 1
     162: 1
     164: 1
     189: 1

190:   0: 1
       1: 1
       2: 1
       3: q+1
       4: 1
       6: q+1
       7: 1
       8: 1
       9: q+1
      12: q+1
      13: q+1
      16: q+1
      26: 1
      27: q+1
      28: 1
      29: q+1
      32: 1
      33: 1
      34: q+1
      36: q+1
      38: 1
      39: 1
      40: 1
      42: 1
      44: 1
      45: 1
      46: 1
      52: 1
      53: 1
      55: 1
      56: 1
      63: 1
      64: 1
      65: q+1
      66: q+1
      69: 1
      70: 1
      71: 1
      73: 1
      75: 1
      76: 1
      87: 1
      88: 1
      95: 1
      97: 1
     114: 1
     115: 1
     118: 1
     119: 1
     120: 1
     122: 1
     138: 1
     142: 1
     143: 1
     161: 1
     162: 1
     190: 1

191:   0: 1
       1: 1
       2: 1
       3: q+1
       5: q^2+1
       6: q+1
      10: 1
      12: q+1
      14: 1
      17: 1
      20: 1
      21: 1
      23: 1
      26: 1
      27: q+1
      30: 1
      32: 1
      34: q+1
      35: 1
      38: 1
      39: 1
      41: 1
      48: 1
      50: 1
      52: 1
      57: 1
      58: 1
      61: 1
      63: 1
      65: q+1
      67: 1
      69: 1
      70: 1
      72: 1
      85: 1
      87: 1
      89: 1
      91: 1
     108: 1
     110: 1
     111: 1
     118: 1
     119: 1
     121: 1
     134: 1
     136: 1
     140: 1
     142: 1
     191: 1

192:   4: 1
       7: 1
       8: 1
       9: q+1
      11: q^2+1
      13: q+1
      15: 1
      16: q+1
      18: 1
      19: 1
      22: 1
      24: 1
      25: 1
      28: 1
      29: q+1
      31: 1
      33: 1
      36: q+1
      37: 1
      40: 1
      42: 1
      43: 1
      49: 1
      51: 1
      53: 1
      59: 1
      60: 1
      62: 1
      64: 1
      66: q+1
      68: 1
      71: 1
      73: 1
      74: 1
      86: 1
      88: 1
      90: 1
      92: 1
     109: 1
     112: 1
     113: 1
     120: 1
     122: 1
     123: 1
     135: 1
     137: 1
     141: 1
     143: 1
     192: 1

193:   0: 1
       1: q+1
       2: 1
       3: q+1
       4: 1
       5: q+1
       6: 1
       7: q+1
       8: 1
       9: q+1
      10: 1
      11: q+1
      12: 1
      13: 1
      14: 1
      15: 1
      16: 1
      18: 1
      20: q+1
      21: 1
      22: q+1
      23: 1
      24: 1
      25: 1
      26: 1
      27: 1
      28: 1
      29: 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: q+1
      46: 1
      47: q+1
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: q+1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      63: 1
      64: 1
      65: 1
      66: 1
      69: 1
      70: 1
      71: 1
      72: 1
      73: 1
      74: 1
      75: 1
      76: 1
      78: 1
      87: 1
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      94: 1
      95: 1
      96: 1
      97: 1
     108: 1
     109: 1
     110: 1
     112: 1
     114: 1
     115: 1
     117: 1
     136: 1
     137: 1
     138: 1
     139: 1
     146: 1
     147: 1
     193: 1

194:   0: 1
       1: 1
       2: q+1
       3: 1
       4: 1
       6: 1
       7: 1
       8: q+1
       9: 1
      13: 1
      26: 1
      27: 1
      28: 1
      29: 1
      32: 1
      33: 1
      38: 1
      39: 1
      40: 1
      42: 1
      44: 1
      45: 1
      46: q+1
      52: 1
      53: 1
      55: 1
      56: 1
      63: 1
      64: 1
      69: 1
      71: 1
      75: 1
      76: 1
      77: q+1
      93: 1
      95: 1
      97: 1
     114: 1
     116: 1
     118: 1
     120: 1
     144: 1
     145: 1
     161: 1
     163: 1
     194: 1

195:   0: 1
       1: 1
       3: 1
       5: 1
       6: 1
      10: 1
      12: q+1
      14: q+1
      17: q+1
      20: 1
      21: 1
      23: q+1
      26: 1
      27: 1
      30: q+1
      34: 1
      35: 1
      38: 1
      39: 1
      41: 1
      48: 1
      50: 1
      52: 1
      57: 1
      58: 1
      61: q+1
      65: 1
      67: 1
      70: 1
      72: 1
      85: 1
      89: 1
      91: 1
     110: 1
     111: 1
     119: 1
     121: 1
     134: 1
     140: 1
     166: 1
     168: 1
     195: 1

196:   4: 1
       7: 1
       9: 1
      11: 1
      13: 1
      15: 1
      16: q+1
      18: q+1
      19: q+1
      22: 1
      24: 1
      25: q+1
      28: 1
      29: 1
      31: q+1
      36: 1
      37: 1
      40: 1
      42: 1
      43: 1
      49: 1
      51: 1
      53: 1
      59: 1
      60: 1
      62: q+1
      66: 1
      68: 1
      73: 1
      74: 1
      86: 1
      90: 1
      92: 1
     112: 1
     113: 1
     122: 1
     123: 1
     135: 1
     141: 1
     169: 1
     170: 1
     196: 1

197:   0: q+1
       1: 1
       2: q+1
       3: q+1
       5: 1
       6: 1
      10: 1
      12: 1
      14: 1
      20: 1
      21: 1
      23: 1
      26: 1
      27: 1
      32: q+1
      34: 1
      35: 1
      38: q+1
      39: 1
      41: 1
      48: 1
      50: 1
      52: 1
      57: 1
      58: 1
      63: 1
      65: 1
      69: q+1
      70: 1
      72: 1
      87: 1
      89: 1
      91: 1
     108: 1
     110: 1
     118: 1
     119: 1
     136: 1
     142: 1
     165: 1
     166: 1
     197: 1

198:   4: q+1
       7: 1
       8: q+1
       9: q+1
      11: 1
      13: 1
      15: 1
      16: 1
      18: 1
      22: 1
      24: 1
      25: 1
      28: 1
      29: 1
      33: q+1
      36: 1
      37: 1
      40: q+1
      42: 1
      43: 1
      49: 1
      51: 1
      53: 1
      59: 1
      60: 1
      64: 1
      66: 1
      71: q+1
      73: 1
      74: 1
      88: 1
      90: 1
      92: 1
     109: 1
     112: 1
     120: 1
     122: 1
     137: 1
     143: 1
     167: 1
     169: 1
     198: 1

199:   0: q+1
       1: 1
       2: q+1
       3: q+1
       4: q+1
       6: 1
       7: 1
       8: q+1
       9: q+1
      12: 1
      13: 1
      16: 1
      26: 1
      27: 1
      28: 1
      29: 1
      32: q+1
      33: q+1
      34: 1
      36: 1
      38: q+1
      39: 1
      40: q+1
      42: 1
      44: 1
      45: 1
      46: 1
      52: 1
      53: 1
      55: 1
      56: 1
      63: 1
      64: 1
      65: 1
      66: 1
      69: q+1
      70: 1
      71: q+1
      73: 1
      75: 1
      76: 1
      77: 1
      87: 1
      88: 1
      93: 1
      95: 1
      97: 1
     114: 1
     115: 1
     116: 1
     118: 1
     119: 1
     120: 1
     122: 1
     138: 1
     142: 1
     143: 1
     144: 1
     145: 1
     199: 1

200:   0: 1
       1: 1
       2: q+1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
       8: q+1
       9: 1
      10: 1
      11: 1
      13: 1
      15: 1
      20: 1
      21: 1
      22: 1
      24: 1
      26: 1
      27: 1
      28: 1
      29: 1
      32: 1
      33: 1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      63: 1
      64: 1
      69: 1
      71: 1
      75: 1
      76: 1
      77: 1
      78: 1
      89: 1
      90: 1
      93: 1
      94: 1
      95: 1
      96: 1
      97: 1
     108: 1
     109: 1
     118: 1
     120: 1
     145: 1
     146: 1
     147: 1
     165: 1
     167: 1
     200: 1

201:   0: 2q+1
       1: 2q+1
       2: q+1
       3: 2q+1
       4: 1
       6: 2q+1
       7: q+1
       8: q+1
       9: 1
      12: q+1
      13: q+1
      26: q+1
      27: q+1
      28: 1
      29: 1
      32: q+1
      33: 1
      34: q+1
      38: 2q+1
      39: 2q+1
      40: 1
      42: q+1
      44: 1
      45: q+1
      46: 1
      52: q+1
      53: 1
      55: 1
      56: 1
      63: 1
      64: 1
      65: 1
      69: q+1
      70: q+1
      71: 1
      75: 1
      76: q+1
      77: 1
      79: 1
      80: 1
      81: 1
      83: 1
      87: 1
      93: 1
      95: 1
      97: 1
     100: 1
     101: 1
     102: 1
     104: 1
     118: 1
     119: 1
     120: 1
     124: 1
     125: 1
     132: 1
     142: 1
     145: 1
     148: 1
     171: 1
     172: 1
     201: 1

202:   0: 1
       1: q+1
       2: q+1
       3: 1
       4: 2q+1
       6: q+1
       7: 2q+1
       8: q+1
       9: 2q+1
      13: 2q+1
      16: q+1
      26: 1
      27: 1
      28: q+1
      29: q+1
      32: 1
      33: q+1
      36: q+1
      38: 1
      39: q+1
      40: 2q+1
      42: 2q+1
      44: 1
      45: q+1
      46: 1
      52: 1
      53: q+1
      55: 1
      56: 1
      63: 1
      64: 1
      66: 1
      69: 1
      71: q+1
      73: q+1
      75: 1
      76: q+1
      77: 1
      79: 1
      80: 1
      81: 1
      83: 1
      88: 1
      93: 1
      95: 1
      97: 1
     100: 1
     101: 1
     102: 1
     104: 1
     118: 1
     120: 1
     122: 1
     126: 1
     128: 1
     132: 1
     143: 1
     145: 1
     149: 1
     173: 1
     175: 1
     202: 1

203:   1: 1
       5: 1
       6: 1
       7: 1
      10: 1
      11: 1
      12: 1
      13: 1
      14: 1
      15: 1
      20: 1
      21: 1
      22: 1
      23: 1
      24: 1
      34: 1
      35: 1
      39: 1
      41: 1
      42: 1
      43: 1
      45: 1
      47: 1
      48: 1
      50: 1
      51: 1
      54: 1
      70: 1
      72: 1
      76: 1
      78: 1
      80: 1
      82: 1
      83: 1
      84: 1
      91: 1
      94: 1
      98: 1
      99: 1
     104: 1
     106: 1
     125: 1
     127: 1
     130: 1
     156: 1
     172: 1
     174: 1
     203: 1

204:   1: 1
       5: 1
       6: 1
       7: 1
      10: 1
      11: 1
      13: 1
      15: 1
      16: 1
      18: 1
      20: 1
      21: 1
      22: 1
      24: 1
      25: 1
      36: 1
      37: 1
      39: 1
      41: 1
      42: 1
      43: 1
      45: 1
      47: 1
      49: 1
      50: 1
      51: 1
      54: 1
      73: 1
      74: 1
      76: 1
      78: 1
      80: 1
      82: 1
      83: 1
      84: 1
      92: 1
      94: 1
      98: 1
      99: 1
     104: 1
     106: 1
     128: 1
     129: 1
     130: 1
     157: 1
     175: 1
     176: 1
     204: 1

205:   0: q+1
       2: q+1
       3: q+1
       4: q+1
       8: q+1
       9: q+1
      32: q+1
      33: q+1
      38: q+1
      40: q+1
      44: 1
      46: 1
      56: 1
      69: q+1
      71: q+1
      75: 1
      77: 1
      79: 1
      81: 1
      93: 1
     102: 1
     114: 1
     116: 1
     124: 1
     126: 1
     144: 1
     150: 1
     171: 1
     173: 1
     205: 1

206:   0: q
       3: q
       4: q
       9: q
      38: q
      40: q
      44: q
      75: q
     114: 1
     116: 1
     144: 1
     151: 1
     206: 1

207:   1: 1
       6: 1
       7: 1
      12: 1
      13: 1
      16: 1
      34: 1
      36: 1
      39: 1
      42: 1
      45: 1
      70: 1
      73: 1
      76: 1
      80: 1
      83: 1
     104: 1
     115: 1
     125: 1
     128: 1
     152: 1
     172: 1
     175: 1
     207: 1

208:  12: q^2
      16: q^2
     115: 1
     153: 1
     208: 1

209:   5: 1
      10: 1
      11: 1
      14: 1
      15: 1
      18: 1
      35: 1
      37: 1
      41: 1
      43: 1
      47: 1
      72: 1
      74: 1
      78: 1
      82: 1
      84: 1
     106: 1
     117: 1
     127: 1
     129: 1
     154: 1
     174: 1
     176: 1
     209: 1

210:  14: q^2
      18: q^2
     117: 1
     155: 1
     210: 1

211:   0: 1
       1: 1
       2: q+1
       3: q+1
       4: 1
       6: q+1
       7: 1
       8: q+1
       9: q+1
      13: q+1
      26: 1
      27: q+1
      28: 1
      29: q+1
      32: 1
      33: 1
      38: 1
      39: 1
      40: 1
      42: 1
      44: 1
      45: 1
      46: q+1
      52: 1
      53: 1
      55: 1
      56: 1
      63: 1
      64: 1
      69: 1
      71: 1
      75: 1
      76: 1
      79: 1
      80: 1
      81: 1
      83: 1
      95: 1
      97: 1
     100: 1
     101: 1
     102: 1
     104: 1
     114: 1
     118: 1
     120: 1
     124: 1
     126: 1
     132: 1
     150: 1
     161: 1
     177: 1
     179: 1
     211: 1

212:   3: q
       6: q
       9: q
      13: q
      27: q
      29: q
      75: 1
      76: 1
      95: 1
     103: 1
     105: 1
     114: 1
     133: 1
     151: 1
     161: 1
     212: 1

213:   0: q+1
       1: q+1
       3: 1
       4: q+1
       6: 1
       7: q+1
       9: 1
      12: q+1
      13: 1
      16: q+1
      26: q+1
      27: 1
      28: q+1
      29: 1
      34: 1
      36: 1
      38: 1
      39: 1
      40: 1
      42: 1
      44: q+1
      45: q+1
      52: 1
      53: 1
      55: q+1
      65: 1
      66: 1
      70: 1
      73: 1
      75: 1
      76: 1
      79: 1
      80: 1
      81: 1
      83: 1
      95: 1
     100: 1
     101: 1
     102: 1
     104: 1
     115: 1
     119: 1
     122: 1
     125: 1
     128: 1
     132: 1
     152: 1
     162: 1
     178: 1
     181: 1
     213: 1

214:   3: q
       6: q
       9: q
      12: q^2+q
      13: q
      16: q^2+q
      27: q
      29: q
      34: q
      36: q
      65: q
      66: q
      75: 1
      76: 1
      95: 1
     103: 1
     105: 1
     115: 1
     133: 1
     153: 1
     162: 1
     214: 1

215:   5: q+1
      10: 1
      11: q+1
      14: 1
      15: 1
      17: 1
      18: 1
      19: 1
      30: 1
      31: 1
      35: 1
      37: 1
      41: 1
      43: 1
      47: q+1
      67: 1
      68: 1
      72: 1
      74: 1
      78: 1
      82: 1
      84: 1
     106: 1
     117: 1
     121: 1
     123: 1
     127: 1
     129: 1
     154: 1
     164: 1
     180: 1
     182: 1
     215: 1

216:  10: q
      14: q
      15: q
      17: q
      18: q
      19: q
      30: q
      31: q
      35: q
      37: q
      67: q
      68: q
      78: 1
     107: 1
     117: 1
     155: 1
     164: 1
     216: 1

217:   0: 1
       1: q+1
       2: 1
       3: q+1
       4: 1
       5: q+1
       6: 1
       7: q+1
       8: 1
      10: 1
      11: q+1
      12: 1
      14: 1
      20: q+1
      21: 1
      22: q+1
      23: 1
      26: 1
      27: 1
      28: 1
      32: 1
      33: 1
      34: 1
      35: 1
      38: 1
      39: 1
      41: 1
      44: 1
      45: q+1
      46: 1
      47: q+1
      48: 1
      50: 1
      52: 1
      54: q+1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      63: 1
      64: 1
      65: 1
      69: 1
      70: 1
      72: 1
      79: 1
      80: 1
      82: 1
      87: 1
      89: 1
      91: 1
      96: 1
      97: 1
      98: 1
     100: 1
     108: 1
     109: 1
     110: 1
     124: 1
     125: 1
     127: 1
     136: 1
     147: 1
     148: 1
     156: 1
     158: 1
     217: 1

218:   0: 1
       1: q+1
       2: 1
       4: 1
       5: q+1
       7: q+1
       8: 1
       9: q+1
      11: q+1
      13: 1
      15: 1
      16: 1
      18: 1
      20: q+1
      22: q+1
      24: 1
      25: 1
      26: 1
      28: 1
      29: 1
      32: 1
      33: 1
      36: 1
      37: 1
      40: 1
      42: 1
      43: 1
      44: 1
      45: q+1
      46: 1
      47: q+1
      49: 1
      51: 1
      53: 1
      54: q+1
      55: 1
      56: 1
      57: 1
      59: 1
      60: 1
      63: 1
      64: 1
      66: 1
      71: 1
      73: 1
      74: 1
      81: 1
      83: 1
      84: 1
      88: 1
      90: 1
      92: 1
      96: 1
      97: 1
      99: 1
     101: 1
     108: 1
     109: 1
     112: 1
     126: 1
     128: 1
     129: 1
     137: 1
     147: 1
     149: 1
     157: 1
     159: 1
     218: 1

219:   0: 1
       1: 1
       3: 1
       4: 1
       5: q+1
       6: 1
       7: 1
      10: q+1
      11: q+1
      12: q+1
      14: 1
      17: 1
      20: 1
      21: 1
      22: 1
      23: 1
      26: 1
      27: 1
      28: 1
      30: 1
      34: 1
      35: 1
      38: 1
      39: 1
      41: q+1
      44: 1
      45: 1
      47: q+1
      48: 1
      50: 1
      52: 1
      54: 1
      55: 1
      57: 1
      58: 1
      59: 1
      61: 1
      65: 1
      67: 1
      70: 1
      72: 1
      79: 1
      80: 1
      82: q+1
      85: 1
      89: 1
      91: 1
      96: 1
      98: 1
     100: 1
     119: 1
     121: 1
     125: 1
     127: 1
     140: 1
     156: 1
     158: 1
     178: 1
     180: 1
     219: 1

220:   0: 1
       1: 1
       4: 1
       5: q+1
       7: 1
       9: 1
      11: q+1
      13: 1
      15: q+1
      16: q+1
      18: 1
      19: 1
      20: 1
      22: 1
      24: 1
      25: 1
      26: 1
      28: 1
      29: 1
      31: 1
      36: 1
      37: 1
      40: 1
      42: 1
      43: q+1
      44: 1
      45: 1
      47: q+1
      49: 1
      51: 1
      53: 1
      54: 1
      55: 1
      57: 1
      59: 1
      60: 1
      62: 1
      66: 1
      68: 1
      73: 1
      74: 1
      81: 1
      83: 1
      84: q+1
      86: 1
      90: 1
      92: 1
      96: 1
      99: 1
     101: 1
     122: 1
     123: 1
     128: 1
     129: 1
     141: 1
     157: 1
     159: 1
     181: 1
     182: 1
     220: 1

221:   0: 1
       1: 1
       2: 1
       3: q+1
       4: 1
       6: q+1
       7: 1
       8: 1
      12: q+1
      26: 1
      27: q+1
      28: 1
      32: 1
      33: 1
      34: q+1
      38: 1
      39: 1
      44: 1
      45: 1
      46: 1
      52: 1
      55: 1
      56: 1
      63: 1
      64: 1
      65: q+1
      69: 1
      70: 1
      79: 1
      80: 1
      87: 1
      97: 1
     100: 1
     118: 1
     119: 1
     124: 1
     125: 1
     142: 1
     148: 1
     177: 1
     178: 1
     221: 1

222:   0: 1
       1: 1
       2: 1
       4: 1
       7: 1
       8: 1
       9: q+1
      13: q+1
      16: q+1
      26: 1
      28: 1
      29: q+1
      32: 1
      33: 1
      36: q+1
      40: 1
      42: 1
      44: 1
      45: 1
      46: 1
      53: 1
      55: 1
      56: 1
      63: 1
      64: 1
      66: q+1
      71: 1
      73: 1
      81: 1
      83: 1
      88: 1
      97: 1
     101: 1
     120: 1
     122: 1
     126: 1
     128: 1
     143: 1
     149: 1
     179: 1
     181: 1
     222: 1

223:   0: 1
       1: 1
       2: 2q+1
       3: q+1
       4: 1
       6: q+1
       7: 1
       8: 2q+1
       9: q+1
      13: q+1
      26: 1
      27: q+1
      28: 1
      29: q+1
      32: 1
      33: 1
      38: 1
      39: 1
      40: 1
      42: 1
      44: 1
      45: 1
      46: 2q+1
      52: 1
      53: 1
      55: 1
      56: 1
      63: 1
      64: 1
      69: 1
      71: 1
      75: 2
      76: 2
      77: q+1
      79: 1
      80: 1
      81: 1
      83: 1
      93: 1
      95: 2
      97: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     118: 1
     120: 1
     124: 1
     126: 1
     132: 1
     133: 1
     145: 1
     160: 1
     177: 1
     179: 1
     223: 1

224:   0: 1
       2: 1
       3: q+1
       4: 1
       8: 1
       9: q+1
      32: 1
      33: 1
      38: 1
      40: 1
      44: 1
      46: 1
      56: 1
      69: 1
      71: 1
      75: 2
      77: 1
      79: 1
      81: 1
      93: 1
     102: 1
     103: 1
     114: 2
     116: 1
     124: 1
     126: 1
     144: 1
     150: 1
     151: 1
     160: 1
     224: 1

225:   0: 1
       2: q+1
       3: 1
       4: 1
       8: q+1
       9: 1
      32: 1
      33: 1
      38: 1
      40: 1
      44: 1
      46: q+1
      56: 1
      69: 1
      71: 1
      75: 1
      77: q+1
      79: 1
      81: 1
      93: 1
     102: 1
     124: 1
     126: 1
     160: 1
     171: 1
     173: 1
     225: 1

226:   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: q+1
      11: 1
      13: q+1
      15: q+1
      20: 1
      21: q+1
      22: 1
      24: q+1
      26: 1
      27: q+1
      28: 1
      29: q+1
      32: 1
      33: 1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: q+1
      47: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: q+1
      59: 1
      60: q+1
      63: 1
      64: 1
      69: 1
      71: 1
      75: 1
      76: 1
      78: 1
      89: 1
      90: 1
      94: 1
      95: 1
      96: 1
      97: 1
     108: 1
     109: 1
     114: 1
     118: 1
     120: 1
     146: 1
     147: 1
     161: 1
     165: 1
     167: 1
     226: 1

227:   0: q+1
       1: 1
       3: q+1
       4: q+1
       5: 1
       6: 1
       7: 1
       9: q+1
      10: 1
      11: 1
      12: q+1
      13: 1
      14: q+1
      15: 1
      16: q+1
      18: q+1
      20: 1
      21: 1
      22: 1
      23: q+1
      24: 1
      25: q+1
      26: 1
      27: 1
      28: 1
      29: 1
      34: 1
      35: 1
      36: 1
      37: 1
      38: q+1
      39: 1
      40: q+1
      41: 1
      42: 1
      43: 1
      44: q+1
      45: 1
      47: 1
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      57: 1
      58: 1
      59: 1
      60: 1
      65: 1
      66: 1
      70: 1
      72: 1
      73: 1
      74: 1
      75: q+1
      76: 1
      78: 1
      89: 1
      90: 1
      91: 1
      92: 1
      94: 1
      95: 1
      96: 1
     110: 1
     112: 1
     115: 1
     117: 1
     119: 1
     122: 1
     139: 1
     146: 1
     162: 1
     166: 1
     169: 1
     227: 1

228:   0: 1
       1: 1
       2: 1
       4: 1
       5: 1
       7: 1
       8: 1
      11: 1
      20: 1
      22: 1
      26: 1
      28: 1
      32: 1
      33: 1
      44: 1
      45: 1
      46: 1
      47: 1
      54: 1
      55: 1
      56: 1
      57: 1
      59: 1
      63: 1
      64: 1
      77: 1
      96: 1
      97: 1
     108: 1
     109: 1
     116: 1
     147: 1
     163: 1
     228: 1

229:   1: 1
       5: 1
       6: 1
       7: 1
      10: 1
      11: 1
      12: 1
      13: 1
      14: 1
      15: 1
      16: 1
      17: q+1
      18: 1
      19: q+1
      20: 1
      21: 1
      22: 1
      23: 1
      24: 1
      25: 1
      30: 1
      31: 1
      34: 1
      35: 1
      36: 1
      37: 1
      39: 1
      41: 1
      42: 1
      43: 1
      45: 1
      47: 1
      48: 1
      49: 1
      50: 1
      51: 1
      54: 1
      61: 1
      62: 1
      67: 1
      68: 1
      70: 1
      72: 1
      73: 1
      74: 1
      76: 1
      78: 1
      91: 1
      92: 1
      94: 1
     111: 1
     113: 1
     115: 1
     117: 1
     121: 1
     123: 1
     139: 1
     164: 1
     168: 1
     170: 1
     229: 1

230:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: 1
       6: q+1
       7: 1
       8: q^2+2q+1
       9: 1
      13: 1
      26: q+1
      27: q+1
      28: 1
      29: 1
      32: 1
      33: 1
      38: q+1
      39: q+1
      40: 1
      42: 1
      44: 1
      45: 1
      46: q+1
      52: q+1
      53: 1
      55: 1
      56: 1
      63: 1
      64: 1
      69: 1
      71: 1
      75: 1
      76: 1
      77: q+1
      79: 1
      80: 1
      81: 1
      83: 1
      93: 1
      95: 1
      97: 1
     100: 1
     101: 1
     102: 1
     104: 1
     118: 1
     120: 1
     124: 1
     132: 1
     145: 1
     171: 1
     177: 1
     230: 1

231:   0: 1
       1: 1
       3: 1
       4: 1
       6: 1
       7: 1
       9: 1
      12: q+1
      13: 1
      26: 1
      27: 1
      28: 1
      29: 1
      34: 1
      38: 1
      39: 1
      40: 1
      42: 1
      44: 1
      45: 1
      52: 1
      53: 1
      55: 1
      65: 1
      70: 1
      75: 1
      76: 1
      79: 1
      80: 1
      81: 1
      83: 1
      95: 1
     100: 1
     101: 1
     102: 1
     104: 1
     119: 1
     125: 1
     132: 1
     172: 1
     178: 1
     231: 1

232:   0: 1
       1: 1
       2: q^2+2q+1
       3: 1
       4: q+1
       6: 1
       7: q+1
       8: q+1
       9: q+1
      13: q+1
      26: 1
      27: 1
      28: q+1
      29: q+1
      32: 1
      33: 1
      38: 1
      39: 1
      40: q+1
      42: q+1
      44: 1
      45: 1
      46: q+1
      52: 1
      53: q+1
      55: 1
      56: 1
      63: 1
      64: 1
      69: 1
      71: 1
      75: 1
      76: 1
      77: q+1
      79: 1
      80: 1
      81: 1
      83: 1
      93: 1
      95: 1
      97: 1
     100: 1
     101: 1
     102: 1
     104: 1
     118: 1
     120: 1
     126: 1
     132: 1
     145: 1
     173: 1
     179: 1
     232: 1

233:   5: 1
      10: 1
      11: 1
      14: 1
      15: 1
      17: 1
      30: 1
      35: 1
      41: 1
      43: 1
      47: 1
      67: 1
      72: 1
      78: 1
      82: 1
      84: 1
     106: 1
     121: 1
     127: 1
     174: 1
     180: 1
     233: 1

234:   0: 1
       1: 1
       3: 1
       4: 1
       6: 1
       7: 1
       9: 1
      13: 1
      16: q+1
      26: 1
      27: 1
      28: 1
      29: 1
      36: 1
      38: 1
      39: 1
      40: 1
      42: 1
      44: 1
      45: 1
      52: 1
      53: 1
      55: 1
      66: 1
      73: 1
      75: 1
      76: 1
      79: 1
      80: 1
      81: 1
      83: 1
      95: 1
     100: 1
     101: 1
     102: 1
     104: 1
     122: 1
     128: 1
     132: 1
     175: 1
     181: 1
     234: 1

235:   5: 1
      10: 1
      11: 1
      15: 1
      18: 1
      19: 1
      31: 1
      37: 1
      41: 1
      43: 1
      47: 1
      68: 1
      74: 1
      78: 1
      82: 1
      84: 1
     106: 1
     123: 1
     129: 1
     176: 1
     182: 1
     235: 1

236:   0: 1
       1: 1
       2: q+1
       3: q+1
       4: 1
       5: 1
       6: q+1
       7: 1
       8: q+1
      10: q+1
      11: 1
      20: 1
      21: q+1
      22: 1
      26: 1
      27: q+1
      28: 1
      32: 1
      33: 1
      38: 1
      39: 1
      41: 1
      44: 1
      45: 1
      46: q+1
      47: 1
      50: 1
      52: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: q+1
      59: 1
      63: 1
      64: 1
      69: 1
      79: 1
      80: 1
      82: 1
      89: 1
      96: 1
      97: 1
      98: 1
     100: 1
     108: 1
     109: 1
     118: 1
     124: 1
     147: 1
     158: 1
     165: 1
     177: 1
     236: 1

237:   0: q+1
       1: 1
       3: q+1
       4: q+1
       5: 1
       6: 1
       7: 1
      10: 1
      11: 1
      12: q+1
      14: q+1
      20: 1
      21: 1
      22: 1
      23: q+1
      26: 1
      27: 1
      28: 1
      34: 1
      35: 1
      38: q+1
      39: 1
      41: 1
      44: q+1
      45: 1
      47: 1
      48: 1
      50: 1
      52: 1
      54: 1
      55: 1
      57: 1
      58: 1
      59: 1
      65: 1
      70: 1
      72: 1
      79: q+1
      80: 1
      82: 1
      89: 1
      91: 1
      96: 1
      98: 1
     100: 1
     110: 1
     119: 1
     125: 1
     127: 1
     156: 1
     158: 1
     166: 1
     178: 1
     237: 1

238:   0: 1
       1: 1
       2: q+1
       4: 1
       5: 1
       7: 1
       8: q+1
       9: q+1
      11: 1
      13: q+1
      15: q+1
      20: 1
      22: 1
      24: q+1
      26: 1
      28: 1
      29: q+1
      32: 1
      33: 1
      40: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: q+1
      47: 1
      51: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: 1
      59: 1
      60: q+1
      63: 1
      64: 1
      71: 1
      81: 1
      83: 1
      84: 1
      90: 1
      96: 1
      97: 1
      99: 1
     101: 1
     108: 1
     109: 1
     120: 1
     126: 1
     147: 1
     159: 1
     167: 1
     179: 1
     238: 1

239:   1: 1
       5: 1
       6: 1
       7: 1
      10: 1
      11: 1
      12: 1
      14: 1
      17: q+1
      20: 1
      21: 1
      22: 1
      23: 1
      30: 1
      34: 1
      35: 1
      39: 1
      41: 1
      45: 1
      47: 1
      48: 1
      50: 1
      54: 1
      61: 1
      67: 1
      70: 1
      72: 1
      80: 1
      82: 1
      91: 1
      98: 1
     111: 1
     121: 1
     125: 1
     127: 1
     156: 1
     168: 1
     180: 1
     239: 1

240:   0: q+1
       1: 1
       4: q+1
       5: 1
       7: 1
       9: q+1
      11: 1
      13: 1
      15: 1
      16: q+1
      18: q+1
      20: 1
      22: 1
      24: 1
      25: q+1
      26: 1
      28: 1
      29: 1
      36: 1
      37: 1
      40: q+1
      42: 1
      43: 1
      44: q+1
      45: 1
      47: 1
      49: 1
      51: 1
      53: 1
      54: 1
      55: 1
      57: 1
      59: 1
      60: 1
      66: 1
      73: 1
      74: 1
      81: q+1
      83: 1
      84: 1
      90: 1
      92: 1
      96: 1
      99: 1
     101: 1
     112: 1
     122: 1
     128: 1
     129: 1
     157: 1
     159: 1
     169: 1
     181: 1
     240: 1

241:   1: 1
       5: 1
       7: 1
      11: 1
      13: 1
      15: 1
      16: 1
      18: 1
      19: q+1
      20: 1
      22: 1
      24: 1
      25: 1
      31: 1
      36: 1
      37: 1
      42: 1
      43: 1
      45: 1
      47: 1
      49: 1
      51: 1
      54: 1
      62: 1
      68: 1
      73: 1
      74: 1
      83: 1
      84: 1
      92: 1
      99: 1
     113: 1
     123: 1
     128: 1
     129: 1
     157: 1
     170: 1
     182: 1
     241: 1

242:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       6: q+1
       7: q+1
       8: q+1
       9: q+1
      12: q+1
      13: q+1
      16: q+1
      26: 1
      27: 1
      28: 1
      29: 1
      32: q+1
      33: q+1
      34: q+1
      36: q+1
      38: q+1
      39: q+1
      40: q+1
      42: q+1
      44: 1
      45: q+1
      46: 1
      52: 1
      53: 1
      55: 1
      56: 1
      63: 1
      64: 1
      65: 1
      66: 1
      69: q+1
      70: q+1
      71: q+1
      73: q+1
      75: 1
      76: q+1
      77: 1
      79: 1
      80: 1
      81: 1
      83: 1
      87: 1
      88: 1
      93: 1
      95: 1
      97: 1
     100: 1
     101: 1
     102: 1
     104: 1
     114: 1
     115: q+1
     116: 1
     118: 1
     119: 1
     120: 1
     122: 1
     124: 1
     125: 1
     126: 1
     128: 1
     132: 1
     138: 1
     142: 1
     143: 1
     144: 1
     145: 1
     148: 1
     149: 1
     150: 1
     152: 1
     171: 1
     172: 1
     173: 1
     175: 1
     183: 1
     199: 1
     201: 1
     202: 1
     205: 1
     207: 1
     242: 1

243:   0: q^2+q
       1: q
       3: q^2+q
       4: q^2+q
       6: q
       7: q
       9: q^2+q
      12: q^2+q
      13: q
      16: q^2+q
      26: q
      27: q
      28: q
      29: q
      34: q
      36: q
      38: q^2+q
      39: q
      40: q^2+q
      42: q
      44: q
      45: q
      52: q
      53: q
      55: q
      65: q
      66: q
      70: q
      73: q
      75: q
      76: q
      95: q
     114: 1
     115: q+1
     116: 1
     119: q
     122: q
     138: 1
     144: 1
     151: 1
     153: 1
     184: 1
     199: 1
     206: 1
     208: 1
     243: 1

244:   1: 1
       5: 1
       6: 1
       7: 1
      10: 1
      11: 1
      12: 1
      13: 1
      14: 1
      15: 1
      16: 1
      18: 1
      20: 1
      21: 1
      22: 1
      23: 1
      24: 1
      25: 1
      34: 1
      35: 1
      36: 1
      37: 1
      39: 1
      41: 1
      42: 1
      43: 1
      45: 1
      47: 1
      48: 1
      49: 1
      50: 1
      51: 1
      54: 1
      70: 1
      72: 1
      73: 1
      74: 1
      76: 1
      78: 1
      80: 1
      82: 1
      83: 1
      84: 1
      91: 1
      92: 1
      94: 1
      98: 1
      99: 1
     104: 1
     106: 1
     115: 1
     117: 1
     125: 1
     127: 1
     128: 1
     129: 1
     130: 1
     139: 1
     152: 1
     154: 1
     156: 1
     157: 1
     172: 1
     174: 1
     175: 1
     176: 1
     185: 1
     203: 1
     204: 1
     207: 1
     209: 1
     244: 1

245:  12: q^2
      14: q^2
      16: q^2
      18: q^2
      23: q^2
      25: q^2
     115: 1
     117: 1
     139: 1
     153: 1
     155: 1
     186: 1
     208: 1
     210: 1
     245: 1

246:   0: q+1
       1: q+1
       3: 1
       4: q+1
       5: q^2+2q+1
       6: 1
       7: q+1
       9: 1
      10: q+1
      11: q^2+2q+1
      12: q+1
      13: 1
      14: 1
      15: q+1
      16: q+1
      17: 1
      18: 1
      19: 1
      20: q+1
      21: 1
      22: q+1
      23: 1
      24: 1
      25: 1
      26: q+1
      27: 1
      28: q+1
      29: 1
      30: 1
      31: 1
      34: 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: q+1
      47: q^2+2q+1
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: q+1
      55: q+1
      57: q+1
      58: 1
      59: q+1
      60: 1
      61: 1
      62: 1
      65: 1
      66: 1
      67: 1
      68: 1
      70: 1
      72: 1
      73: 1
      74: 1
      75: 1
      76: 1
      78: q+1
      79: 1
      80: 1
      81: 1
      82: q+1
      83: 1
      84: q+1
      85: 1
      86: 1
      89: 1
      90: 1
      91: 1
      92: 1
      94: 1
      95: 1
      96: q+1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     106: q+1
     115: 1
     117: 1
     119: 1
     121: 1
     122: 1
     123: 1
     125: 1
     127: 1
     128: 1
     129: 1
     130: 1
     132: 1
     139: 1
     140: 1
     141: 1
     146: 1
     152: 1
     154: 1
     156: 1
     157: 1
     158: 1
     159: 1
     162: 1
     164: 1
     178: 1
     180: 1
     181: 1
     182: 1
     185: 1
     187: 1
     189: 1
     213: 1
     215: 1
     219: 1
     220: 1
     246: 1

247:   3: q
       6: q
       9: q
      10: q^2+q
      12: q^2+q
      13: q
      14: q
      15: q^2+q
      16: q^2+q
      17: q
      18: q
      19: q
      21: q
      23: q
      24: q
      25: q
      27: q
      29: q
      30: q
      31: q
      34: q
      35: q
      36: q
      37: q
      48: q
      49: q
      58: q
      60: q
      61: q
      62: q
      65: q
      66: q
      67: q
      68: q
      75: 1
      76: 1
      78: q+1
      85: q
      86: q
      94: 1
      95: 1
     103: 1
     105: 1
     107: q+1
     115: 1
     117: 1
     131: 1
     133: 1
     139: 1
     146: 1
     153: 1
     155: 1
     162: 1
     164: 1
     186: 1
     188: 1
     189: 1
     214: 1
     216: 1
     247: 1

248:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       6: q+1
       7: q+1
       8: q+1
       9: q+1
      12: q+1
      13: q+1
      16: q+1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      32: q+1
      33: q+1
      34: q+1
      36: q+1
      38: 1
      39: 1
      40: 1
      42: 1
      44: q+1
      45: q+1
      46: q+1
      52: 1
      53: 1
      55: q+1
      56: q+1
      63: q+1
      64: q+1
      65: q+1
      66: q+1
      69: 1
      70: 1
      71: 1
      73: 1
      75: 1
      76: 1
      79: 1
      80: 1
      81: 1
      83: 1
      87: 1
      88: 1
      95: 1
      97: q+1
     100: 1
     101: 1
     102: 1
     104: 1
     114: 1
     115: 1
     118: 1
     119: 1
     120: 1
     122: 1
     124: 1
     125: 1
     126: 1
     128: 1
     132: 1
     138: 1
     142: 1
     143: 1
     148: 1
     149: 1
     150: 1
     152: 1
     161: 1
     162: 1
     177: 1
     178: 1
     179: 1
     181: 1
     183: 1
     190: 1
     211: 1
     213: 1
     221: 1
     222: 1
     248: 1

249:   3: q
       6: q
       9: q
      12: q
      13: q
      16: q
      27: q
      29: q
      34: q
      36: q
      65: q
      66: q
      75: 1
      76: 1
      95: 1
     103: 1
     105: 1
     114: 1
     115: 1
     133: 1
     138: 1
     151: 1
     153: 1
     161: 1
     162: 1
     184: 1
     190: 1
     212: 1
     214: 1
     249: 1

250:   0: 1
       1: q+1
       2: 1
       3: q+1
       4: 1
       5: q+1
       6: 1
       7: q+1
       8: 1
       9: q+1
      10: 1
      11: q+1
      12: 1
      13: 1
      14: 1
      15: 1
      16: 1
      18: 1
      20: q+1
      21: 1
      22: q+1
      23: 1
      24: 1
      25: 1
      26: 1
      27: 1
      28: 1
      29: 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: q+1
      46: 1
      47: q+1
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: q+1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      63: 1
      64: 1
      65: 1
      66: 1
      69: 1
      70: 1
      71: 1
      72: 1
      73: 1
      74: 1
      75: 1
      76: 1
      78: 1
      79: 1
      80: 1
      81: 1
      82: 1
      83: 1
      84: 1
      87: 1
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     106: 1
     108: 1
     109: 1
     110: 1
     112: 1
     114: 1
     115: 1
     117: 1
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     132: 1
     136: 1
     137: 1
     138: 1
     139: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     152: 1
     154: 1
     156: 1
     157: 1
     158: 1
     159: 1
     183: 1
     185: 1
     187: 1
     193: 1
     217: 1
     218: 1
     250: 1

251:   3: q^2+q
       6: q
       9: q^2+q
      10: q
      12: q
      13: q
      14: q
      15: q
      16: q
      18: q
      21: q
      23: q
      24: q
      25: q
      27: q
      29: q
      34: q
      35: q
      36: q
      37: q
      48: q
      49: q
      58: q
      60: q
      65: q
      66: q
      75: 1
      76: 1
      78: 1
      94: 1
      95: 1
     103: 1
     105: 1
     107: 1
     110: q
     112: q
     114: 1
     115: 1
     117: 1
     131: 1
     133: 1
     138: 1
     139: 1
     146: 1
     151: 1
     153: 1
     155: 1
     184: 1
     186: 1
     188: 1
     193: 1
     251: 1

252:   0: 1
       2: 1
       3: 1
       4: 1
       8: 1
       9: 1
      32: 1
      33: 1
      38: 1
      40: 1
      44: 1
      46: 1
      56: 1
      69: 1
      71: 1
      75: 1
      77: 1
      79: 1
      81: 1
      93: 1
     102: 1
     114: 1
     116: 1
     124: 1
     126: 1
     144: 1
     150: 1
     160: 1
     171: 1
     173: 1
     205: 1
     224: 1
     225: 1
     252: 1

253:   0: 2q
       2: 2q
       3: q
       4: 2q
       8: 2q
       9: q
      32: 2q
      33: 2q
      38: q
      40: q
      44: 2q
      46: 2q
      56: 2q
      69: q
      71: q
      77: q
      79: q
      81: q
     116: q
     124: q
     126: q
     171: 1
     173: 1
     205: 1
     225: 1
     253: 1

254:   0: q
       3: q
       4: q
       9: q
      38: q
      40: q
      44: q
      75: q
      79: q
      81: q
     102: q
     114: 1
     116: 1
     144: 1
     151: 1
     206: 1
     224: 1
     254: 1

255:   0: q^2
       4: q^2
      44: q^2
     116: q
     206: 1
     255: 1

256:   0: 1
       1: 1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
       9: 1
      10: 1
      11: 1
      12: q+1
      13: 1
      14: q+1
      15: 1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      20: 1
      21: 1
      22: 1
      23: q+1
      24: 1
      25: q+1
      26: 1
      27: 1
      28: 1
      29: 1
      30: q+1
      31: q+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
      47: 1
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: q+1
      62: q+1
      65: 1
      66: 1
      67: 1
      68: 1
      70: 1
      72: 1
      73: 1
      74: 1
      75: 1
      76: 1
      78: 1
      85: 1
      86: 1
      89: 1
      90: 1
      91: 1
      92: 1
      94: 1
      95: 1
      96: 1
     110: 1
     111: 1
     112: 1
     113: 1
     115: 1
     117: 1
     119: 1
     121: 1
     122: 1
     123: 1
     134: 1
     135: 1
     139: 1
     140: 1
     141: 1
     146: 1
     162: 1
     164: 1
     166: 1
     168: 1
     169: 1
     170: 1
     189: 1
     195: 1
     196: 1
     227: 1
     229: 1
     256: 1

257:   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^2+2q+1
      10: q+1
      11: 1
      12: q+1
      13: q+1
      14: q+1
      15: q+1
      16: q+1
      18: q+1
      20: 1
      21: q+1
      22: 1
      23: q+1
      24: q+1
      25: q+1
      26: 1
      27: q+1
      28: 1
      29: q+1
      32: q+1
      33: q+1
      34: q+1
      35: q+1
      36: q+1
      37: q+1
      38: q+1
      39: 1
      40: q+1
      41: 1
      42: 1
      43: 1
      44: q+1
      45: 1
      46: q+1
      47: 1
      48: q+1
      49: q+1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: q+1
      57: 1
      58: q+1
      59: 1
      60: q+1
      63: 1
      64: 1
      65: q+1
      66: q+1
      69: q+1
      70: 1
      71: q+1
      72: 1
      73: 1
      74: 1
      75: q+1
      76: 1
      78: 1
      87: 1
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      94: 1
      95: 1
      96: 1
      97: 1
     108: 1
     109: 1
     110: q+1
     112: q+1
     114: q+1
     115: 1
     117: 1
     118: 1
     119: 1
     120: 1
     122: 1
     136: 1
     137: 1
     138: 1
     139: 1
     142: 1
     143: 1
     146: 1
     147: 1
     161: 1
     162: 1
     165: 1
     166: 1
     167: 1
     169: 1
     190: 1
     193: 1
     197: 1
     198: 1
     226: 1
     227: 1
     257: 1

258:   0: 1
       1: 1
       2: 1
       3: q+1
       4: 1
       5: q^2+1
       6: q+1
       7: 1
       8: 1
       9: q+1
      10: 1
      11: q^2+1
      12: q+1
      13: q+1
      14: 1
      15: 1
      16: q+1
      17: 1
      18: 1
      19: 1
      20: 1
      21: 1
      22: 1
      23: 1
      24: 1
      25: 1
      26: 1
      27: q+1
      28: 1
      29: q+1
      30: 1
      31: 1
      32: 1
      33: 1
      34: q+1
      35: 1
      36: q+1
      37: 1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: q^2+1
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: 1
      63: 1
      64: 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
      85: 1
      86: 1
      87: 1
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      94: 1
      95: 1
      96: 1
      97: 1
     108: 1
     109: 1
     110: 1
     111: 1
     112: 1
     113: 1
     114: 1
     115: 1
     117: 1
     118: 1
     119: 1
     120: 1
     121: 1
     122: 1
     123: 1
     134: 1
     135: 1
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: 1
     146: 1
     147: 1
     161: 1
     162: 1
     164: 1
     189: 1
     190: 1
     191: 1
     192: 1
     193: 1
     258: 1

259:   0: 1
       1: 1
       2: q+1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
       8: q+1
       9: 1
      10: 1
      11: 1
      13: 1
      15: 1
      20: 1
      21: 1
      22: 1
      24: 1
      26: 1
      27: 1
      28: 1
      29: 1
      32: 1
      33: 1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: q+1
      47: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      63: 1
      64: 1
      69: 1
      71: 1
      75: 1
      76: 1
      77: q+1
      78: 1
      89: 1
      90: 1
      93: 1
      94: 1
      95: 1
      96: 1
      97: 1
     108: 1
     109: 1
     114: 1
     116: 1
     118: 1
     120: 1
     144: 1
     145: 1
     146: 1
     147: 1
     161: 1
     163: 1
     165: 1
     167: 1
     194: 1
     200: 1
     226: 1
     228: 1
     259: 1

260:   0: 1
       1: 1
       2: 1
       3: 1
       5: 1
       6: 1
      10: 1
      12: 1
      14: 1
      17: 1
      20: 1
      21: 1
      23: 1
      26: 1
      27: 1
      30: 1
      32: 1
      34: 1
      35: 1
      38: 1
      39: 1
      41: 1
      48: 1
      50: 1
      52: 1
      57: 1
      58: 1
      61: 1
      63: 1
      65: 1
      67: 1
      69: 1
      70: 1
      72: 1
      85: 1
      87: 1
      89: 1
      91: 1
     108: 1
     110: 1
     111: 1
     118: 1
     119: 1
     121: 1
     134: 1
     136: 1
     140: 1
     142: 1
     165: 1
     166: 1
     168: 1
     191: 1
     195: 1
     197: 1
     260: 1

261:   4: 1
       7: 1
       8: 1
       9: 1
      11: 1
      13: 1
      15: 1
      16: 1
      18: 1
      19: 1
      22: 1
      24: 1
      25: 1
      28: 1
      29: 1
      31: 1
      33: 1
      36: 1
      37: 1
      40: 1
      42: 1
      43: 1
      49: 1
      51: 1
      53: 1
      59: 1
      60: 1
      62: 1
      64: 1
      66: 1
      68: 1
      71: 1
      73: 1
      74: 1
      86: 1
      88: 1
      90: 1
      92: 1
     109: 1
     112: 1
     113: 1
     120: 1
     122: 1
     123: 1
     135: 1
     137: 1
     141: 1
     143: 1
     167: 1
     169: 1
     170: 1
     192: 1
     196: 1
     198: 1
     261: 1

262:   0: 1
       1: 1
       2: 1
       3: 1
       4: 1
       6: 1
       7: 1
       8: 1
       9: 1
      12: 1
      13: 1
      16: 1
      26: 1
      27: 1
      28: 1
      29: 1
      32: 1
      33: 1
      34: 1
      36: 1
      38: 1
      39: 1
      40: 1
      42: 1
      44: 1
      45: 1
      46: 1
      52: 1
      53: 1
      55: 1
      56: 1
      63: 1
      64: 1
      65: 1
      66: 1
      69: 1
      70: 1
      71: 1
      73: 1
      75: 1
      76: 1
      77: 1
      87: 1
      88: 1
      93: 1
      95: 1
      97: 1
     114: 1
     115: 1
     116: 1
     118: 1
     119: 1
     120: 1
     122: 1
     138: 1
     142: 1
     143: 1
     144: 1
     145: 1
     161: 1
     162: 1
     163: 1
     190: 1
     194: 1
     199: 1
     262: 1

263:   0: q+1
       1: 1
       2: q+1
       3: q+1
       4: q+1
       5: 1
       6: 1
       7: 1
       8: q+1
       9: q+1
      10: 1
      11: 1
      12: 1
      13: 1
      14: 1
      15: 1
      16: 1
      18: 1
      20: 1
      21: 1
      22: 1
      23: 1
      24: 1
      25: 1
      26: 1
      27: 1
      28: 1
      29: 1
      32: q+1
      33: q+1
      34: 1
      35: 1
      36: 1
      37: 1
      38: q+1
      39: 1
      40: q+1
      41: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      63: 1
      64: 1
      65: 1
      66: 1
      69: q+1
      70: 1
      71: q+1
      72: 1
      73: 1
      74: 1
      75: 1
      76: 1
      77: 1
      78: 1
      87: 1
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 1
      97: 1
     108: 1
     109: 1
     110: 1
     112: 1
     114: 1
     115: 1
     116: 1
     117: 1
     118: 1
     119: 1
     120: 1
     122: 1
     136: 1
     137: 1
     138: 1
     139: 1
     142: 1
     143: 1
     144: 1
     145: 1
     146: 1
     147: 1
     165: 1
     166: 1
     167: 1
     169: 1
     193: 1
     197: 1
     198: 1
     199: 1
     200: 1
     263: 1

264:   0: 2q+1
       1: 2q+1
       2: q+1
       3: 2q+1
       4: 1
       5: 2q+1
       6: 2q+1
       7: q+1
       8: q+1
       9: 1
      10: 2q+1
      11: q+1
      12: q+1
      13: q+1
      14: q+1
      15: q+1
      20: 2q+1
      21: 2q+1
      22: q+1
      23: q+1
      24: q+1
      26: q+1
      27: q+1
      28: 1
      29: 1
      32: q+1
      33: 1
      34: q+1
      35: q+1
      38: 2q+1
      39: 2q+1
      40: 1
      41: 2q+1
      42: q+1
      43: q+1
      44: 1
      45: q+1
      46: 1
      47: q+1
      48: q+1
      50: 2q+1
      51: q+1
      52: q+1
      53: 1
      54: q+1
      55: 1
      56: 1
      57: q+1
      58: q+1
      59: 1
      60: 1
      63: 1
      64: 1
      65: 1
      69: q+1
      70: q+1
      71: 1
      72: q+1
      75: 1
      76: q+1
      77: 1
      78: q+1
      79: 1
      80: 1
      81: 1
      82: 1
      83: 1
      84: 1
      87: 1
      89: q+1
      90: 1
      91: q+1
      93: 1
      94: q+1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     106: 1
     108: 1
     109: 1
     110: 1
     118: 1
     119: 1
     120: 1
     124: 1
     125: 1
     127: 1
     130: 1
     132: 1
     136: 1
     142: 1
     145: 1
     146: 1
     147: 1
     148: 1
     156: 1
     158: 1
     159: 1
     165: 1
     166: 1
     167: 1
     171: 1
     172: 1
     174: 1
     187: 1
     197: 1
     200: 1
     201: 1
     203: 1
     217: 1
     264: 1

265:   0: 1
       1: q+1
       2: q+1
       3: 1
       4: 2q+1
       5: q+1
       6: q+1
       7: 2q+1
       8: q+1
       9: 2q+1
      10: q+1
      11: 2q+1
      13: 2q+1
      15: 2q+1
      16: q+1
      18: q+1
      20: q+1
      21: q+1
      22: 2q+1
      24: 2q+1
      25: q+1
      26: 1
      27: 1
      28: q+1
      29: q+1
      32: 1
      33: q+1
      36: q+1
      37: q+1
      38: 1
      39: q+1
      40: 2q+1
      41: q+1
      42: 2q+1
      43: 2q+1
      44: 1
      45: q+1
      46: 1
      47: q+1
      49: q+1
      50: q+1
      51: 2q+1
      52: 1
      53: q+1
      54: q+1
      55: 1
      56: 1
      57: 1
      58: 1
      59: q+1
      60: q+1
      63: 1
      64: 1
      66: 1
      69: 1
      71: q+1
      73: q+1
      74: q+1
      75: 1
      76: q+1
      77: 1
      78: q+1
      79: 1
      80: 1
      81: 1
      82: 1
      83: 1
      84: 1
      88: 1
      89: 1
      90: q+1
      92: q+1
      93: 1
      94: q+1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     106: 1
     108: 1
     109: 1
     112: 1
     118: 1
     120: 1
     122: 1
     126: 1
     128: 1
     129: 1
     130: 1
     132: 1
     137: 1
     143: 1
     145: 1
     146: 1
     147: 1
     149: 1
     157: 1
     158: 1
     159: 1
     165: 1
     167: 1
     169: 1
     173: 1
     175: 1
     176: 1
     187: 1
     198: 1
     200: 1
     202: 1
     204: 1
     218: 1
     265: 1

266:   0: 1
       1: 1
       3: 1
       4: 1
       5: q+1
       6: 1
       7: 1
       9: 1
      10: q+1
      11: q+1
      12: q+1
      13: 1
      14: 1
      15: q+1
      17: 1
      20: 1
      21: 1
      22: 1
      23: 1
      24: 1
      26: 1
      27: 1
      28: 1
      29: 1
      30: 1
      34: 1
      35: 1
      38: 1
      39: 1
      40: 1
      41: q+1
      42: 1
      43: q+1
      44: 1
      45: 1
      47: q+1
      48: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      65: 1
      67: 1
      70: 1
      72: 1
      75: 1
      76: 1
      78: q+1
      79: 1
      80: 1
      81: 1
      82: q+1
      83: 1
      84: q+1
      85: 1
      89: 1
      90: 1
      91: 1
      94: 1
      95: 1
      96: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     106: q+1
     119: 1
     121: 1
     125: 1
     127: 1
     130: 1
     132: 1
     140: 1
     146: 1
     156: 1
     158: 1
     159: 1
     172: 1
     174: 1
     178: 1
     180: 1
     187: 1
     203: 1
     219: 1
     231: 1
     233: 1
     266: 1

267:   0: 1
       1: 1
       3: 1
       4: 1
       5: q+1
       6: 1
       7: 1
       9: 1
      10: q+1
      11: q+1
      13: 1
      15: q+1
      16: q+1
      18: 1
      19: 1
      20: 1
      21: 1
      22: 1
      24: 1
      25: 1
      26: 1
      27: 1
      28: 1
      29: 1
      31: 1
      36: 1
      37: 1
      38: 1
      39: 1
      40: 1
      41: q+1
      42: 1
      43: q+1
      44: 1
      45: 1
      47: q+1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      57: 1
      58: 1
      59: 1
      60: 1
      62: 1
      66: 1
      68: 1
      73: 1
      74: 1
      75: 1
      76: 1
      78: q+1
      79: 1
      80: 1
      81: 1
      82: q+1
      83: 1
      84: q+1
      86: 1
      89: 1
      90: 1
      92: 1
      94: 1
      95: 1
      96: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     106: q+1
     122: 1
     123: 1
     128: 1
     129: 1
     130: 1
     132: 1
     141: 1
     146: 1
     157: 1
     158: 1
     159: 1
     175: 1
     176: 1
     181: 1
     182: 1
     187: 1
     204: 1
     220: 1
     234: 1
     235: 1
     267: 1

268:   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
       9: q+1
      13: q+1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      32: q+1
      33: q+1
      38: q+1
      39: q+1
      40: q+1
      42: q+1
      44: 1
      45: 1
      46: q+1
      52: q+1
      53: q+1
      55: 1
      56: 1
      63: q+1
      64: q+1
      69: q+1
      71: q+1
      75: 1
      76: 1
      77: q+1
      79: 1
      80: 1
      81: 1
      83: 1
      93: 1
      95: 1
      97: 1
     100: 1
     101: 1
     102: 1
     104: 1
     114: 1
     116: 1
     118: q+1
     120: q+1
     124: 1
     126: 1
     132: 1
     144: 1
     145: 1
     150: 1
     161: 1
     163: 1
     171: 1
     173: 1
     177: 1
     179: 1
     194: 1
     205: 1
     211: 1
     230: 1
     232: 1
     268: 1

269:   0: q
       1: q
       3: q
       4: q
       6: q
       7: q
       9: q
      13: q
      26: q
      27: q
      28: q
      29: q
      38: q
      39: q
      40: q
      42: q
      44: q
      45: q
      52: q
      53: q
      55: q
      75: q
      76: q
      95: q
     114: 1
     116: 1
     144: 1
     151: 1
     161: 1
     163: 1
     194: 1
     206: 1
     212: 1
     269: 1

270:   0: 1
       1: 1
       3: 1
       4: 1
       6: 1
       7: 1
       9: 1
      12: q+1
      13: 1
      16: q+1
      26: 1
      27: 1
      28: 1
      29: 1
      34: 1
      36: 1
      38: 1
      39: 1
      40: 1
      42: 1
      44: 1
      45: 1
      52: 1
      53: 1
      55: 1
      65: 1
      66: 1
      70: 1
      73: 1
      75: 1
      76: 1
      79: 1
      80: 1
      81: 1
      83: 1
      95: 1
     100: 1
     101: 1
     102: 1
     104: 1
     115: 1
     119: 1
     122: 1
     125: 1
     128: 1
     132: 1
     152: 1
     162: 1
     172: 1
     175: 1
     178: 1
     181: 1
     207: 1
     213: 1
     231: 1
     234: 1
     270: 1

271:  12: q^2
      16: q^2
     115: 1
     153: 1
     162: 1
     208: 1
     214: 1
     271: 1

272:   5: q+1
      10: q+1
      11: q+1
      14: 1
      15: q+1
      17: 1
      18: 1
      19: 1
      30: 1
      31: 1
      35: 1
      37: 1
      41: q+1
      43: q+1
      47: q+1
      67: 1
      68: 1
      72: 1
      74: 1
      78: q+1
      82: q+1
      84: q+1
     106: q+1
     117: 1
     121: 1
     123: 1
     127: 1
     129: 1
     154: 1
     164: 1
     174: 1
     176: 1
     180: 1
     182: 1
     209: 1
     215: 1
     233: 1
     235: 1
     272: 1

273:  14: q^2
      17: q^2
      18: q^2
      19: q^2
      30: q^2
      31: q^2
     117: 1
     155: 1
     164: 1
     210: 1
     216: 1
     273: 1

274:   0: q+1
       1: q+1
       2: 1
       3: q+1
       4: 1
       6: q+1
       7: 1
       8: q+1
       9: 1
      12: q^2+q+1
      13: 1
      26: q+1
      27: q+1
      28: 1
      29: 1
      32: 1
      33: 1
      34: q+1
      38: q+1
      39: q+1
      40: 1
      42: 1
      44: 1
      45: 1
      46: 1
      52: q+1
      53: 1
      55: 1
      56: 1
      63: 1
      64: 1
      65: q+1
      69: 1
      70: q+1
      71: 1
      75: 1
      76: 1
      77: 1
      79: 1
      80: 1
      81: 1
      83: 1
      87: 1
      93: 1
      95: 1
      97: 1
     100: 1
     101: 1
     102: 1
     104: 1
     118: 1
     119: q+1
     120: 1
     124: 1
     125: 1
     132: 1
     142: 1
     145: 1
     148: 1
     171: 1
     172: 1
     177: 1
     178: 1
     201: 1
     221: 1
     230: 1
     231: 1
     274: 1

275:   0: 1
       1: 1
       2: q+1
       3: 1
       4: q+1
       6: 1
       7: q+1
       8: 1
       9: q+1
      13: q+1
      16: q^2+q+1
      26: 1
      27: 1
      28: q+1
      29: q+1
      32: 1
      33: 1
      36: q+1
      38: 1
      39: 1
      40: q+1
      42: q+1
      44: 1
      45: 1
      46: 1
      52: 1
      53: q+1
      55: 1
      56: 1
      63: 1
      64: 1
      66: q+1
      69: 1
      71: 1
      73: q+1
      75: 1
      76: 1
      77: 1
      79: 1
      80: 1
      81: 1
      83: 1
      88: 1
      93: 1
      95: 1
      97: 1
     100: 1
     101: 1
     102: 1
     104: 1
     118: 1
     120: 1
     122: q+1
     126: 1
     128: 1
     132: 1
     143: 1
     145: 1
     149: 1
     173: 1
     175: 1
     179: 1
     181: 1
     202: 1
     222: 1
     232: 1
     234: 1
     275: 1

276:   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: q+1
      11: 1
      13: q+1
      15: q+1
      20: 1
      21: q+1
      22: 1
      24: q+1
      26: 1
      27: q+1
      28: 1
      29: q+1
      32: 1
      33: 1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: q^2+q+1
      47: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: q+1
      59: 1
      60: q+1
      63: 1
      64: 1
      69: 1
      71: 1
      75: 1
      76: 1
      78: 1
      79: 1
      80: 1
      81: 1
      82: 1
      83: 1
      84: 1
      89: 1
      90: 1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     106: 1
     108: 1
     109: 1
     114: 1
     118: 1
     120: 1
     124: 1
     126: 1
     130: 1
     132: 1
     146: 1
     147: 1
     150: 1
     158: 1
     159: 1
     161: 1
     165: 1
     167: 1
     177: 1
     179: 1
     187: 1
     211: 1
     226: 1
     236: 1
     238: 1
     276: 1

277:   3: q
       6: q
       9: q
      10: q
      13: q
      15: q
      21: q
      24: q
      27: q
      29: q
      58: q
      60: q
      75: 1
      76: 1
      78: 1
      94: 1
      95: 1
     103: 1
     105: 1
     107: 1
     114: 1
     131: 1
     133: 1
     146: 1
     151: 1
     161: 1
     188: 1
     212: 1
     226: 1
     277: 1

278:   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: q+1
      10: 1
      11: q+1
      12: q+1
      13: 1
      14: q+1
      15: 1
      16: q+1
      18: q+1
      20: q+1
      21: 1
      22: q+1
      23: q+1
      24: 1
      25: q+1
      26: q+1
      27: 1
      28: q+1
      29: 1
      34: 1
      35: 1
      36: 1
      37: 1
      38: q+1
      39: 1
      40: q+1
      41: 1
      42: 1
      43: 1
      44: q^2+2q+1
      45: q+1
      47: q+1
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: q+1
      55: q+1
      57: q+1
      58: 1
      59: q+1
      60: 1
      65: 1
      66: 1
      70: 1
      72: 1
      73: 1
      74: 1
      75: q+1
      76: 1
      78: 1
      79: q+1
      80: 1
      81: q+1
      82: 1
      83: 1
      84: 1
      89: 1
      90: 1
      91: 1
      92: 1
      94: 1
      95: 1
      96: q+1
      98: 1
      99: 1
     100: 1
     101: 1
     102: q+1
     104: 1
     106: 1
     110: 1
     112: 1
     115: 1
     117: 1
     119: 1
     122: 1
     125: 1
     127: 1
     128: 1
     129: 1
     130: 1
     132: 1
     139: 1
     146: 1
     152: 1
     154: 1
     156: 1
     157: 1
     158: 1
     159: 1
     162: 1
     166: 1
     169: 1
     178: 1
     181: 1
     185: 1
     187: 1
     213: 1
     227: 1
     237: 1
     240: 1
     278: 1

279:   3: q^2+q
       6: q
       9: q^2+q
      10: q
      12: q^2+q
      13: q
      14: q^2+q
      15: q
      16: q^2+q
      18: q^2+q
      21: q
      23: q^2+q
      24: q
      25: q^2+q
      27: q
      29: q
      34: q
      35: q
      36: q
      37: q
      48: q
      49: q
      58: q
      60: q
      65: q
      66: q
      75: q+1
      76: 1
      78: 1
      94: 1
      95: 1
     103: q+1
     105: 1
     107: 1
     110: q
     112: q
     115: 1
     117: 1
     131: 1
     133: 1
     139: 1
     146: 1
     153: 1
     155: 1
     162: 1
     186: 1
     188: 1
     214: 1
     227: 1
     279: 1

280:   1: q+1
       5: q+1
       6: 1
       7: q+1
      10: 1
      11: q+1
      12: 1
      13: 1
      14: 1
      15: 1
      16: 1
      17: q+1
      18: 1
      19: q+1
      20: q+1
      21: 1
      22: q+1
      23: 1
      24: 1
      25: 1
      30: 1
      31: 1
      34: 1
      35: 1
      36: 1
      37: 1
      39: 1
      41: 1
      42: 1
      43: 1
      45: q+1
      47: q+1
      48: 1
      49: 1
      50: 1
      51: 1
      54: q+1
      61: 1
      62: 1
      67: 1
      68: 1
      70: 1
      72: 1
      73: 1
      74: 1
      76: 1
      78: 1
      80: 1
      82: 1
      83: 1
      84: 1
      91: 1
      92: 1
      94: 1
      98: 1
      99: 1
     104: 1
     106: 1
     111: 1
     113: 1
     115: 1
     117: 1
     121: 1
     123: 1
     125: 1
     127: 1
     128: 1
     129: 1
     130: 1
     139: 1
     152: 1
     154: 1
     156: 1
     157: 1
     164: 1
     168: 1
     170: 1
     180: 1
     182: 1
     185: 1
     215: 1
     229: 1
     239: 1
     241: 1
     280: 1

281:   6: q
      10: q
      12: q
      13: q
      14: q
      15: q
      16: q
      17: q^2+q
      18: q
      19: q^2+q
      21: q
      23: q
      24: q
      25: q
      30: q
      31: q
      34: q
      35: q
      36: q
      37: q
      48: q
      49: q
      61: q
      62: q
      67: q
      68: q
      76: 1
      78: 1
      94: 1
     105: 1
     107: 1
     111: q
     113: q
     115: 1
     117: 1
     131: 1
     139: 1
     153: 1
     155: 1
     164: 1
     186: 1
     216: 1
     229: 1
     281: 1

282:   0: 1
       1: 1
       2: 1
       3: q+1
       4: 1
       5: q^2+1
       6: q+1
       7: 1
       8: 1
      10: 1
      11: q^2+1
      12: q+1
      14: 1
      17: 1
      20: 1
      21: 1
      22: 1
      23: 1
      26: 1
      27: q+1
      28: 1
      30: 1
      32: 1
      33: 1
      34: q+1
      35: 1
      38: 1
      39: 1
      41: 1
      44: 1
      45: 1
      46: 1
      47: q^2+1
      48: 1
      50: 1
      52: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      61: 1
      63: 1
      64: 1
      65: q+1
      67: 1
      69: 1
      70: 1
      72: 1
      79: 1
      80: 1
      82: 1
      85: 1
      87: 1
      89: 1
      91: 1
      96: 1
      97: 1
      98: 1
     100: 1
     108: 1
     109: 1
     110: 1
     111: 1
     118: 1
     119: 1
     121: 1
     124: 1
     125: 1
     127: 1
     134: 1
     136: 1
     140: 1
     142: 1
     147: 1
     148: 1
     156: 1
     158: 1
     177: 1
     178: 1
     180: 1
     191: 1
     217: 1
     219: 1
     221: 1
     282: 1

283:   0: 1
       1: 1
       2: 1
       4: 1
       5: q^2+1
       7: 1
       8: 1
       9: q+1
      11: q^2+1
      13: q+1
      15: 1
      16: q+1
      18: 1
      19: 1
      20: 1
      22: 1
      24: 1
      25: 1
      26: 1
      28: 1
      29: q+1
      31: 1
      32: 1
      33: 1
      36: q+1
      37: 1
      40: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: q^2+1
      49: 1
      51: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: 1
      59: 1
      60: 1
      62: 1
      63: 1
      64: 1
      66: q+1
      68: 1
      71: 1
      73: 1
      74: 1
      81: 1
      83: 1
      84: 1
      86: 1
      88: 1
      90: 1
      92: 1
      96: 1
      97: 1
      99: 1
     101: 1
     108: 1
     109: 1
     112: 1
     113: 1
     120: 1
     122: 1
     123: 1
     126: 1
     128: 1
     129: 1
     135: 1
     137: 1
     141: 1
     143: 1
     147: 1
     149: 1
     157: 1
     159: 1
     179: 1
     181: 1
     182: 1
     192: 1
     218: 1
     220: 1
     222: 1
     283: 1

284:   0: 1
       1: 1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
      10: 1
      11: 1
      12: q+1
      14: q+1
      17: q+1
      20: 1
      21: 1
      22: 1
      23: q+1
      26: 1
      27: 1
      28: 1
      30: q+1
      34: 1
      35: 1
      38: 1
      39: 1
      41: 1
      44: 1
      45: 1
      47: 1
      48: 1
      50: 1
      52: 1
      54: 1
      55: 1
      57: 1
      58: 1
      59: 1
      61: q+1
      65: 1
      67: 1
      70: 1
      72: 1
      79: 1
      80: 1
      82: 1
      85: 1
      89: 1
      91: 1
      96: 1
      98: 1
     100: 1
     110: 1
     111: 1
     119: 1
     121: 1
     125: 1
     127: 1
     134: 1
     140: 1
     156: 1
     158: 1
     166: 1
     168: 1
     178: 1
     180: 1
     195: 1
     219: 1
     237: 1
     239: 1
     284: 1

285:   0: 1
       1: 1
       4: 1
       5: 1
       7: 1
       9: 1
      11: 1
      13: 1
      15: 1
      16: q+1
      18: q+1
      19: q+1
      20: 1
      22: 1
      24: 1
      25: q+1
      26: 1
      28: 1
      29: 1
      31: q+1
      36: 1
      37: 1
      40: 1
      42: 1
      43: 1
      44: 1
      45: 1
      47: 1
      49: 1
      51: 1
      53: 1
      54: 1
      55: 1
      57: 1
      59: 1
      60: 1
      62: q+1
      66: 1
      68: 1
      73: 1
      74: 1
      81: 1
      83: 1
      84: 1
      86: 1
      90: 1
      92: 1
      96: 1
      99: 1
     101: 1
     112: 1
     113: 1
     122: 1
     123: 1
     128: 1
     129: 1
     135: 1
     141: 1
     157: 1
     159: 1
     169: 1
     170: 1
     181: 1
     182: 1
     196: 1
     220: 1
     240: 1
     241: 1
     285: 1

286:   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
      10: q+1
      11: 1
      12: q+1
      14: q+1
      20: 1
      21: q+1
      22: 1
      23: q+1
      26: 1
      27: q+1
      28: 1
      32: q+1
      33: q+1
      34: q+1
      35: q+1
      38: q+1
      39: 1
      41: 1
      44: q+1
      45: 1
      46: q+1
      47: 1
      48: q+1
      50: 1
      52: 1
      54: 1
      55: 1
      56: q+1
      57: 1
      58: q+1
      59: 1
      63: 1
      64: 1
      65: q+1
      69: q+1
      70: 1
      72: 1
      79: q+1
      80: 1
      82: 1
      87: 1
      89: 1
      91: 1
      96: 1
      97: 1
      98: 1
     100: 1
     108: 1
     109: 1
     110: q+1
     118: 1
     119: 1
     124: q+1
     125: 1
     127: 1
     136: 1
     142: 1
     147: 1
     148: 1
     156: 1
     158: 1
     165: 1
     166: 1
     177: 1
     178: 1
     197: 1
     217: 1
     221: 1
     236: 1
     237: 1
     286: 1

287:   0: q+1
       1: 1
       2: q+1
       4: q+1
       5: 1
       7: 1
       8: q+1
       9: q^2+2q+1
      11: 1
      13: q+1
      15: q+1
      16: q+1
      18: q+1
      20: 1
      22: 1
      24: q+1
      25: q+1
      26: 1
      28: 1
      29: q+1
      32: q+1
      33: q+1
      36: q+1
      37: q+1
      40: q+1
      42: 1
      43: 1
      44: q+1
      45: 1
      46: q+1
      47: 1
      49: q+1
      51: 1
      53: 1
      54: 1
      55: 1
      56: q+1
      57: 1
      59: 1
      60: q+1
      63: 1
      64: 1
      66: q+1
      71: q+1
      73: 1
      74: 1
      81: q+1
      83: 1
      84: 1
      88: 1
      90: 1
      92: 1
      96: 1
      97: 1
      99: 1
     101: 1
     108: 1
     109: 1
     112: q+1
     120: 1
     122: 1
     126: q+1
     128: 1
     129: 1
     137: 1
     143: 1
     147: 1
     149: 1
     157: 1
     159: 1
     167: 1
     169: 1
     179: 1
     181: 1
     198: 1
     218: 1
     222: 1
     238: 1
     240: 1
     287: 1

288:   0: 3q+1
       1: q+1
       2: 3q+1
       3: q^2+2q+1
       4: 3q+1
       6: q+1
       7: q+1
       8: 3q+1
       9: q^2+2q+1
      12: q+1
      13: q+1
      16: q+1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      32: 3q+1
      33: 3q+1
      34: q+1
      36: q+1
      38: q+1
      39: 1
      40: q+1
      42: 1
      44: 3q+1
      45: q+1
      46: 3q+1
      52: 1
      53: 1
      55: q+1
      56: 3q+1
      63: q+1
      64: q+1
      65: q+1
      66: q+1
      69: q+1
      70: 1
      71: q+1
      73: 1
      75: 2
      76: 2
      77: q+1
      79: q+1
      80: 1
      81: q+1
      83: 1
      87: 1
      88: 1
      93: 1
      95: 2
      97: q+1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     114: 2
     115: 2
     116: q+1
     118: 1
     119: 1
     120: 1
     122: 1
     124: q+1
     125: 1
     126: q+1
     128: 1
     132: 1
     133: 1
     138: 2
     142: 1
     143: 1
     144: 1
     145: 1
     148: 1
     149: 1
     150: 1
     151: 1
     152: 1
     153: 1
     160: 1
     177: 1
     178: 1
     179: 1
     181: 1
     183: 1
     184: 1
     199: 1
     221: 1
     222: 1
     223: 1
     224: 1
     288: 1

289:   0: 1
       1: 1
       2: q+1
       3: q+1
       4: 1
       6: q+1
       7: 1
       8: q+1
       9: q+1
      13: q+1
      26: 1
      27: q+1
      28: 1
      29: q+1
      32: 1
      33: 1
      38: 1
      39: 1
      40: 1
      42: 1
      44: 1
      45: 1
      46: q+1
      52: 1
      53: 1
      55: 1
      56: 1
      63: 1
      64: 1
      69: 1
      71: 1
      75: 2
      76: 2
      77: q+1
      79: 1
      80: 1
      81: 1
      83: 1
      93: 1
      95: 2
      97: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     114: 2
     116: 1
     118: 1
     120: 1
     124: 1
     126: 1
     132: 1
     133: 1
     144: 1
     145: 1
     150: 1
     151: 1
     160: 1
     161: 2
     163: 1
     177: 1
     179: 1
     194: 1
     211: 1
     212: 1
     223: 1
     224: 1
     289: 1

290:   0: 1
       1: 1
       2: 2q+1
       3: q+1
       4: 1
       5: 1
       6: q+1
       7: 1
       8: 2q+1
       9: q+1
      10: q+1
      11: 1
      13: q+1
      15: q+1
      20: 1
      21: q+1
      22: 1
      24: q+1
      26: 1
      27: q+1
      28: 1
      29: q+1
      32: 1
      33: 1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 2q+1
      47: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: q+1
      59: 1
      60: q+1
      63: 1
      64: 1
      69: 1
      71: 1
      75: 2
      76: 2
      77: q+1
      78: 2
      79: 1
      80: 1
      81: 1
      82: 1
      83: 1
      84: 1
      89: 1
      90: 1
      93: 1
      94: 2
      95: 2
      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
     118: 1
     120: 1
     124: 1
     126: 1
     130: 1
     131: 1
     132: 1
     133: 1
     145: 1
     146: 2
     147: 1
     158: 1
     159: 1
     160: 1
     165: 1
     167: 1
     177: 1
     179: 1
     187: 1
     188: 1
     200: 1
     223: 1
     236: 1
     238: 1
     290: 1

291:   0: q+1
       1: 1
       2: 2q+1
       3: q^2+q+1
       4: q+1
       6: 2q^2+1
       7: 1
       8: 2q+1
       9: 1
      12: q^2+1
      13: q^2+1
      26: 1
      27: q^2+1
      28: 1
      29: 1
      32: q+1
      33: q+1
      34: q^2+1
      38: q+1
      39: 1
      40: 1
      42: 1
      44: q+1
      45: 1
      46: 2q+1
      52: 1
      53: 1
      55: 1
      56: q+1
      63: 1
      64: 1
      65: 1
      69: q+1
      70: 1
      71: 1
      75: 1
      76: q+1
      77: q+1
      79: q+1
      80: 1
      81: 1
      83: 1
      87: 1
      93: 1
      95: 1
      97: 1
     100: 1
     101: 1
     102: 1
     104: 1
     105: q
     118: 1
     119: 1
     120: 1
     124: q+1
     125: 1
     126: 1
     132: 1
     142: 1
     145: 1
     148: 1
     160: 1
     171: 1
     172: 1
     173: 1
     177: 1
     178: 1
     179: 1
     201: 1
     221: 1
     223: 1
     225: 1
     291: 1

292:   0: q+1
       1: 1
       2: 2q+1
       3: 1
       4: q+1
       6: q^2+1
       7: 1
       8: 2q+1
       9: q^2+q+1
      13: 2q^2+1
      16: q^2+1
      26: 1
      27: 1
      28: 1
      29: q^2+1
      32: q+1
      33: q+1
      36: q^2+1
      38: 1
      39: 1
      40: q+1
      42: 1
      44: q+1
      45: 1
      46: 2q+1
      52: 1
      53: 1
      55: 1
      56: q+1
      63: 1
      64: 1
      66: 1
      69: 1
      71: q+1
      73: 1
      75: 1
      76: q+1
      77: q+1
      79: 1
      80: 1
      81: q+1
      83: 1
      88: 1
      93: 1
      95: 1
      97: 1
     100: 1
     101: 1
     102: 1
     104: 1
     105: q
     118: 1
     120: 1
     122: 1
     124: 1
     126: q+1
     128: 1
     132: 1
     143: 1
     145: 1
     149: 1
     160: 1
     171: 1
     173: 1
     175: 1
     177: 1
     179: 1
     181: 1
     202: 1
     222: 1
     223: 1
     225: 1
     292: 1

293:   0: 1
       1: 1
       2: 2q+1
       3: 1
       4: 1
       6: 1
       7: 1
       8: 2q+1
       9: 1
      13: 1
      26: 1
      27: 1
      28: 1
      29: 1
      32: 1
      33: 1
      38: 1
      39: 1
      40: 1
      42: 1
      44: 1
      45: 1
      46: 2q+1
      52: 1
      53: 1
      55: 1
      56: 1
      63: 1
      64: 1
      69: 1
      71: 1
      75: 1
      76: 1
      77: 2q+1
      79: 1
      80: 1
      81: 1
      83: 1
      93: 1
      95: 1
      97: 1
     100: 1
     101: 1
     102: 1
     104: 1
     118: 1
     120: 1
     124: 1
     126: 1
     132: 1
     145: 1
     160: 1
     171: 1
     173: 1
     177: 1
     179: 1
     223: 1
     225: 1
     230: 1
     232: 1
     293: 1

294:   0: 3q+1
       1: q^2+2q+1
       2: 3q+1
       3: q^2+2q+1
       4: q^2+3q+1
       6: q+1
       7: q+1
       8: q^2+3q+1
       9: q+1
      12: q+1
      13: 1
      16: 1
      26: 2q+1
      27: q+1
      28: q+1
      29: 1
      32: 3q+1
      33: q^2+3q+1
      34: q+1
      36: 1
      38: 2q+1
      39: q+1
      40: q+1
      42: 1
      44: 2q+1
      45: q+1
      46: 2q+1
      52: q+1
      53: 1
      55: q+1
      56: 2q+1
      63: 2q+1
      64: q+1
      65: q+1
      66: 1
      69: 2q+1
      70: q+1
      71: q+1
      73: 1
      75: 1
      76: 1
      77: q+1
      79: q+1
      80: 1
      81: 1
      83: 1
      87: q+1
      88: 1
      93: 1
      95: 1
      97: q+1
     100: 1
     101: 1
     102: 1
     104: 1
     114: 1
     115: 1
     116: q+1
     118: 1
     119: 1
     120: 1
     122: 1
     124: q+1
     125: 1
     126: 1
     128: 1
     132: 1
     138: 1
     142: 1
     143: 1
     144: 1
     145: 1
     148: 1
     149: 1
     150: 1
     152: 1
     171: 1
     173: 1
     177: 1
     178: 1
     183: 1
     199: 1
     205: 1
     221: 1
     230: 1
     294: 1

295:   0: 1
       1: q+1
       2: 1
       3: q+1
       4: 1
       6: 2q+1
       7: q+1
       8: 1
       9: q+1
      12: 2q+1
      13: 1
      16: 1
      26: 1
      27: q+1
      28: 1
      29: 1
      32: 1
      33: 1
      34: 2q+1
      36: 1
      38: 1
      39: q+1
      40: 1
      42: 1
      44: 1
      45: q+1
      46: 1
      52: 1
      53: 1
      55: 1
      56: 1
      63: 1
      64: 1
      65: q+1
      66: 1
      69: 1
      70: q+1
      71: 1
      73: 1
      75: 1
      76: 1
      79: 1
      80: q+1
      81: 1
      83: 1
      87: 1
      88: 1
      95: 1
      97: 1
     100: 1
     101: 1
     102: 1
     104: 1
     114: 1
     115: 1
     118: 1
     119: 1
     124: 1
     125: q+1
     126: 1
     128: 1
     132: 1
     138: 1
     142: 1
     148: 1
     149: 1
     150: 1
     152: 1
     172: 1
     175: 1
     177: 1
     178: 1
     183: 1
     207: 1
     221: 1
     231: 1
     295: 1

296:   0: q^2+3q+1
       1: q+1
       2: q^2+3q+1
       3: q+1
       4: 3q+1
       6: 1
       7: q^2+2q+1
       8: 3q+1
       9: q^2+2q+1
      12: 1
      13: q+1
      16: q+1
      26: q+1
      27: 1
      28: 2q+1
      29: q+1
      32: q^2+3q+1
      33: 3q+1
      34: 1
      36: q+1
      38: q+1
      39: 1
      40: 2q+1
      42: q+1
      44: 2q+1
      45: q+1
      46: 2q+1
      52: 1
      53: q+1
      55: q+1
      56: 2q+1
      63: q+1
      64: 2q+1
      65: 1
      66: q+1
      69: q+1
      70: 1
      71: 2q+1
      73: q+1
      75: 1
      76: 1
      77: q+1
      79: 1
      80: 1
      81: q+1
      83: 1
      87: 1
      88: q+1
      93: 1
      95: 1
      97: q+1
     100: 1
     101: 1
     102: 1
     104: 1
     114: 1
     115: 1
     116: q+1
     118: 1
     119: 1
     120: 1
     122: 1
     124: 1
     125: 1
     126: q+1
     128: 1
     132: 1
     138: 1
     142: 1
     143: 1
     144: 1
     145: 1
     148: 1
     149: 1
     150: 1
     152: 1
     171: 1
     173: 1
     179: 1
     181: 1
     183: 1
     199: 1
     205: 1
     222: 1
     232: 1
     296: 1

297:   5: 1
      10: 1
      11: 1
      14: 1
      15: 1
      17: 1
      18: 1
      30: 1
      35: 1
      37: 1
      41: 1
      43: 1
      47: 1
      67: 1
      72: 1
      74: 1
      78: 1
      82: 1
      84: 1
     106: 1
     117: 1
     121: 1
     127: 1
     129: 1
     154: 1
     174: 1
     176: 1
     180: 1
     209: 1
     233: 1
     297: 1

298:   0: 1
       1: q+1
       2: 1
       3: q+1
       4: 1
       6: 1
       7: q+1
       8: 1
       9: q+1
      12: 1
      13: 2q+1
      16: 2q+1
      26: 1
      27: 1
      28: 1
      29: q+1
      32: 1
      33: 1
      34: 1
      36: 2q+1
      38: 1
      39: 1
      40: 1
      42: q+1
      44: 1
      45: q+1
      46: 1
      52: 1
      53: 1
      55: 1
      56: 1
      63: 1
      64: 1
      65: 1
      66: q+1
      69: 1
      70: 1
      71: 1
      73: q+1
      75: 1
      76: 1
      79: 1
      80: 1
      81: 1
      83: q+1
      87: 1
      88: 1
      95: 1
      97: 1
     100: 1
     101: 1
     102: 1
     104: 1
     114: 1
     115: 1
     120: 1
     122: 1
     124: 1
     125: 1
     126: 1
     128: q+1
     132: 1
     138: 1
     143: 1
     148: 1
     149: 1
     150: 1
     152: 1
     172: 1
     175: 1
     179: 1
     181: 1
     183: 1
     207: 1
     222: 1
     234: 1
     298: 1

299:   5: 1
      10: 1
      11: 1
      14: 1
      15: 1
      18: 1
      19: 1
      31: 1
      35: 1
      37: 1
      41: 1
      43: 1
      47: 1
      68: 1
      72: 1
      74: 1
      78: 1
      82: 1
      84: 1
     106: 1
     117: 1
     123: 1
     127: 1
     129: 1
     154: 1
     174: 1
     176: 1
     182: 1
     209: 1
     235: 1
     299: 1

300:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: 1
       5: q+1
       6: q+1
       7: 1
       8: q^2+2q+1
       9: 1
      10: q+1
      11: 1
      13: 1
      15: 1
      20: q+1
      21: q+1
      22: 1
      24: 1
      26: q+1
      27: q+1
      28: 1
      29: 1
      32: 1
      33: 1
      38: q+1
      39: q+1
      40: 1
      41: q+1
      42: 1
      43: 1
      44: 1
      45: 1
      46: q+1
      47: 1
      50: q+1
      51: 1
      52: q+1
      53: 1
      54: 1
      55: 1
      56: 1
      57: q+1
      58: q+1
      59: 1
      60: 1
      63: 1
      64: 1
      69: 1
      71: 1
      75: 1
      76: 1
      77: q+1
      78: 1
      79: 1
      80: 1
      81: 1
      82: 1
      83: 1
      84: 1
      89: q+1
      90: 1
      93: 1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     106: 1
     108: 1
     109: 1
     118: 1
     120: 1
     124: 1
     130: 1
     132: 1
     145: 1
     146: 1
     147: 1
     158: 1
     159: 1
     165: 1
     167: 1
     171: 1
     177: 1
     187: 1
     200: 1
     230: 1
     236: 1
     300: 1

301:   0: q+1
       1: 1
       3: q+1
       4: q+1
       5: 1
       6: 1
       7: 1
       9: q+1
      10: 1
      11: 1
      12: q+1
      13: 1
      14: q+1
      15: 1
      20: 1
      21: 1
      22: 1
      23: q+1
      24: 1
      26: 1
      27: 1
      28: 1
      29: 1
      34: 1
      35: 1
      38: q+1
      39: 1
      40: q+1
      41: 1
      42: 1
      43: 1
      44: q+1
      45: 1
      47: 1
      48: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      57: 1
      58: 1
      59: 1
      60: 1
      65: 1
      70: 1
      72: 1
      75: q+1
      76: 1
      78: 1
      79: q+1
      80: 1
      81: q+1
      82: 1
      83: 1
      84: 1
      89: 1
      90: 1
      91: 1
      94: 1
      95: 1
      96: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: q+1
     104: 1
     106: 1
     110: 1
     119: 1
     125: 1
     127: 1
     130: 1
     132: 1
     146: 1
     156: 1
     158: 1
     159: 1
     166: 1
     172: 1
     174: 1
     178: 1
     187: 1
     203: 1
     231: 1
     237: 1
     301: 1

302:   0: 1
       1: 1
       2: q^2+2q+1
       3: 1
       4: q+1
       5: 1
       6: 1
       7: q+1
       8: q+1
       9: q+1
      10: 1
      11: q+1
      13: q+1
      15: q+1
      20: 1
      21: 1
      22: q+1
      24: q+1
      26: 1
      27: 1
      28: q+1
      29: q+1
      32: 1
      33: 1
      38: 1
      39: 1
      40: q+1
      41: 1
      42: q+1
      43: q+1
      44: 1
      45: 1
      46: q+1
      47: 1
      50: 1
      51: q+1
      52: 1
      53: q+1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: q+1
      60: q+1
      63: 1
      64: 1
      69: 1
      71: 1
      75: 1
      76: 1
      77: q+1
      78: 1
      79: 1
      80: 1
      81: 1
      82: 1
      83: 1
      84: 1
      89: 1
      90: q+1
      93: 1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     106: 1
     108: 1
     109: 1
     118: 1
     120: 1
     126: 1
     130: 1
     132: 1
     145: 1
     146: 1
     147: 1
     158: 1
     159: 1
     165: 1
     167: 1
     173: 1
     179: 1
     187: 1
     200: 1
     232: 1
     238: 1
     302: 1

303:   1: 1
       5: 1
       6: 1
       7: 1
      10: 1
      11: 1
      12: 1
      13: 1
      14: 1
      15: 1
      17: q+1
      20: 1
      21: 1
      22: 1
      23: 1
      24: 1
      30: 1
      34: 1
      35: 1
      39: 1
      41: 1
      42: 1
      43: 1
      45: 1
      47: 1
      48: 1
      50: 1
      51: 1
      54: 1
      61: 1
      67: 1
      70: 1
      72: 1
      76: 1
      78: 1
      80: 1
      82: 1
      83: 1
      84: 1
      91: 1
      94: 1
      98: 1
      99: 1
     104: 1
     106: 1
     111: 1
     121: 1
     125: 1
     127: 1
     130: 1
     156: 1
     168: 1
     172: 1
     174: 1
     180: 1
     203: 1
     233: 1
     239: 1
     303: 1

304:   0: q+1
       1: 1
       3: q+1
       4: q+1
       5: 1
       6: 1
       7: 1
       9: q+1
      10: 1
      11: 1
      13: 1
      15: 1
      16: q+1
      18: q+1
      20: 1
      21: 1
      22: 1
      24: 1
      25: q+1
      26: 1
      27: 1
      28: 1
      29: 1
      36: 1
      37: 1
      38: q+1
      39: 1
      40: q+1
      41: 1
      42: 1
      43: 1
      44: q+1
      45: 1
      47: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      57: 1
      58: 1
      59: 1
      60: 1
      66: 1
      73: 1
      74: 1
      75: q+1
      76: 1
      78: 1
      79: q+1
      80: 1
      81: q+1
      82: 1
      83: 1
      84: 1
      89: 1
      90: 1
      92: 1
      94: 1
      95: 1
      96: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: q+1
     104: 1
     106: 1
     112: 1
     122: 1
     128: 1
     129: 1
     130: 1
     132: 1
     146: 1
     157: 1
     158: 1
     159: 1
     169: 1
     175: 1
     176: 1
     181: 1
     187: 1
     204: 1
     234: 1
     240: 1
     304: 1

305:   1: 1
       5: 1
       6: 1
       7: 1
      10: 1
      11: 1
      13: 1
      15: 1
      16: 1
      18: 1
      19: q+1
      20: 1
      21: 1
      22: 1
      24: 1
      25: 1
      31: 1
      36: 1
      37: 1
      39: 1
      41: 1
      42: 1
      43: 1
      45: 1
      47: 1
      49: 1
      50: 1
      51: 1
      54: 1
      62: 1
      68: 1
      73: 1
      74: 1
      76: 1
      78: 1
      80: 1
      82: 1
      83: 1
      84: 1
      92: 1
      94: 1
      98: 1
      99: 1
     104: 1
     106: 1
     113: 1
     123: 1
     128: 1
     129: 1
     130: 1
     157: 1
     170: 1
     175: 1
     176: 1
     182: 1
     204: 1
     235: 1
     241: 1
     305: 1

306:   0: 3q+1
       1: 3q+1
       2: q^2+2q+1
       3: 3q+1
       4: 3q+1
       6: 3q+1
       7: 3q+1
       8: q^2+2q+1
       9: 3q+1
      12: q^2+2q+1
      13: 3q+1
      16: q^2+2q+1
      26: 3q+1
      27: 3q+1
      28: 3q+1
      29: 3q+1
      32: 2q+1
      33: 2q+1
      34: 2q+1
      36: 2q+1
      38: 3q+1
      39: 3q+1
      40: 3q+1
      42: 3q+1
      44: 2q+1
      45: 2q+1
      46: q+1
      52: 3q+1
      53: 3q+1
      55: 2q+1
      56: q+1
      63: 2q+1
      64: 2q+1
      65: 2q+1
      66: 2q+1
      69: 2q+1
      70: 2q+1
      71: 2q+1
      73: 2q+1
      75: 2q+1
      76: 2q+1
      77: q+1
      79: q+1
      80: q+1
      81: q+1
      83: q+1
      87: q+1
      88: q+1
      93: q+1
      95: 2q+1
      97: q+1
     100: q+1
     101: q+1
     102: q+1
     104: q+1
     114: 1
     115: q+1
     116: 1
     118: 2q+1
     119: 2q+1
     120: 2q+1
     122: 2q+1
     124: 1
     125: 1
     126: 1
     128: 1
     132: q+1
     138: 1
     142: q+1
     143: q+1
     144: 1
     145: q+1
     148: 1
     149: 1
     150: 1
     152: 1
     161: 1
     162: q+1
     163: 1
     171: 1
     172: 1
     173: 1
     175: 1
     177: 1
     178: 1
     179: 1
     181: 1
     183: 1
     190: 1
     194: 1
     199: 1
     201: 1
     202: 1
     205: 1
     207: 1
     211: 1
     213: 1
     221: 1
     222: 1
     230: 1
     231: 1
     232: 1
     234: 1
     242: 1
     248: 1
     262: 1
     268: 1
     270: 1
     274: 1
     275: 1
     306: 1

307:   0: q
       1: q
       3: q
       4: q
       6: q
       7: q
       9: q
      12: q^2+q
      13: q
      16: q^2+q
      26: q
      27: q
      28: q
      29: q
      34: q
      36: q
      38: q
      39: q
      40: q
      42: q
      44: q
      45: q
      52: q
      53: q
      55: q
      65: q
      66: q
      70: q
      73: q
      75: q
      76: q
      95: q
     114: 1
     115: q+1
     116: 1
     119: q
     122: q
     138: 1
     144: 1
     151: 1
     153: 1
     161: 1
     162: q+1
     163: 1
     184: 1
     190: 1
     194: 1
     199: 1
     206: 1
     208: 1
     212: 1
     214: 1
     243: 1
     249: 1
     262: 1
     269: 1
     271: 1
     307: 1

308:   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
      18: q+1
      20: q+1
      21: q+1
      22: q+1
      23: q+1
      24: q+1
      25: q+1
      26: 1
      27: 1
      28: 1
      29: 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: 1
      45: q+1
      46: 1
      47: q+1
      48: q+1
      49: q+1
      50: q+1
      51: q+1
      52: 1
      53: 1
      54: q+1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      63: 1
      64: 1
      65: 1
      66: 1
      69: q+1
      70: q+1
      71: q+1
      72: q+1
      73: q+1
      74: q+1
      75: 1
      76: q+1
      77: 1
      78: q+1
      79: 1
      80: 1
      81: 1
      82: 1
      83: 1
      84: 1
      87: 1
      88: 1
      89: 1
      90: 1
      91: q+1
      92: q+1
      93: 1
      94: q+1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     106: 1
     108: 1
     109: 1
     110: 1
     112: 1
     114: 1
     115: q+1
     116: 1
     117: q+1
     118: 1
     119: 1
     120: 1
     122: 1
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     132: 1
     136: 1
     137: 1
     138: 1
     139: q+1
     142: 1
     143: 1
     144: 1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     152: 1
     154: 1
     156: 1
     157: 1
     158: 1
     159: 1
     165: 1
     166: 1
     167: 1
     169: 1
     171: 1
     172: 1
     173: 1
     174: 1
     175: 1
     176: 1
     183: 1
     185: 1
     187: 1
     193: 1
     197: 1
     198: 1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     207: 1
     209: 1
     217: 1
     218: 1
     242: 1
     244: 1
     250: 1
     263: 1
     264: 1
     265: 1
     308: 1

309:   0: q^2+q
       1: q
       3: q^2+q
       4: q^2+q
       5: q
       6: q
       7: q
       9: q^2+q
      10: q
      11: q
      12: q^2+q
      13: q
      14: q^2+q
      15: q
      16: q^2+q
      18: q^2+q
      20: q
      21: q
      22: q
      23: q^2+q
      24: q
      25: q^2+q
      26: q
      27: q
      28: q
      29: q
      34: q
      35: q
      36: q
      37: q
      38: q^2+q
      39: q
      40: q^2+q
      41: q
      42: q
      43: q
      44: q
      45: q
      47: q
      48: q
      49: q
      50: q
      51: q
      52: q
      53: q
      54: q
      55: q
      57: q
      58: q
      59: q
      60: q
      65: q
      66: q
      70: q
      72: q
      73: q
      74: q
      75: q
      76: q
      78: q
      89: q
      90: q
      91: q
      92: q
      94: q
      95: q
      96: q
     110: q
     112: q
     114: 1
     115: q+1
     116: 1
     117: q+1
     119: q
     122: q
     138: 1
     139: q+1
     144: 1
     146: q
     151: 1
     153: 1
     155: 1
     166: q
     169: q
     184: 1
     186: 1
     193: 1
     199: 1
     206: 1
     208: 1
     210: 1
     243: 1
     245: 1
     251: 1
     263: 1
     309: 1

310:   0: 1
       1: 1
       3: 1
       4: 1
       5: q+1
       6: 1
       7: 1
       9: 1
      10: q+1
      11: q+1
      12: q+1
      13: 1
      14: 1
      15: q+1
      16: q+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
      34: 1
      35: 1
      36: 1
      37: 1
      38: 1
      39: 1
      40: 1
      41: q+1
      42: 1
      43: q+1
      44: 1
      45: 1
      47: q+1
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: 1
      65: 1
      66: 1
      67: 1
      68: 1
      70: 1
      72: 1
      73: 1
      74: 1
      75: 1
      76: 1
      78: q+1
      79: 1
      80: 1
      81: 1
      82: q+1
      83: 1
      84: q+1
      85: 1
      86: 1
      89: 1
      90: 1
      91: 1
      92: 1
      94: 1
      95: 1
      96: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     106: q+1
     115: 1
     117: 1
     119: 1
     121: 1
     122: 1
     123: 1
     125: 1
     127: 1
     128: 1
     129: 1
     130: 1
     132: 1
     139: 1
     140: 1
     141: 1
     146: 1
     152: 1
     154: 1
     156: 1
     157: 1
     158: 1
     159: 1
     162: 1
     164: 1
     172: 1
     174: 1
     175: 1
     176: 1
     178: 1
     180: 1
     181: 1
     182: 1
     185: 1
     187: 1
     189: 1
     203: 1
     204: 1
     207: 1
     209: 1
     213: 1
     215: 1
     219: 1
     220: 1
     231: 1
     233: 1
     234: 1
     235: 1
     244: 1
     246: 1
     266: 1
     267: 1
     270: 1
     272: 1
     310: 1

311:  12: q^3+q^2
      14: q^2
      16: q^3+q^2
      17: q^2
      18: q^2
      19: q^2
      23: q^2
      25: q^2
      30: q^2
      31: q^2
      61: q^2
      62: q^2
     115: 1
     117: 1
     139: 1
     153: 1
     155: 1
     162: 1
     164: 1
     186: 1
     189: 1
     208: 1
     210: 1
     214: 1
     216: 1
     245: 1
     247: 1
     271: 1
     273: 1
     311: 1

312:   0: q+1
       1: q+1
       3: 1
       4: q+1
       5: q+1
       6: 1
       7: q+1
       9: 1
      10: 1
      11: q+1
      12: q+1
      13: 1
      14: q+1
      15: 1
      16: q+1
      17: q+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: 1
      28: q+1
      29: 1
      30: q+1
      31: q+1
      34: 1
      35: 1
      36: 1
      37: 1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: q+1
      45: q+1
      47: q+1
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: q+1
      55: q+1
      57: q+1
      58: 1
      59: q+1
      60: 1
      61: q+1
      62: q+1
      65: 1
      66: 1
      67: 1
      68: 1
      70: 1
      72: 1
      73: 1
      74: 1
      75: 1
      76: 1
      78: 1
      79: 1
      80: 1
      81: 1
      82: 1
      83: 1
      84: 1
      85: 1
      86: 1
      89: 1
      90: 1
      91: 1
      92: 1
      94: 1
      95: 1
      96: q+1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     106: 1
     110: 1
     111: 1
     112: 1
     113: 1
     115: 1
     117: 1
     119: 1
     121: 1
     122: 1
     123: 1
     125: 1
     127: 1
     128: 1
     129: 1
     130: 1
     132: 1
     134: 1
     135: 1
     139: 1
     140: 1
     141: 1
     146: 1
     152: 1
     154: 1
     156: 1
     157: 1
     158: 1
     159: 1
     162: 1
     164: 1
     166: 1
     168: 1
     169: 1
     170: 1
     178: 1
     180: 1
     181: 1
     182: 1
     185: 1
     187: 1
     189: 1
     195: 1
     196: 1
     213: 1
     215: 1
     219: 1
     220: 1
     227: 1
     229: 1
     237: 1
     239: 1
     240: 1
     241: 1
     246: 1
     256: 1
     278: 1
     280: 1
     284: 1
     285: 1
     312: 1

313:   3: q
       6: q
       9: q
      10: q
      12: q^2+q
      13: q
      14: q^2+q
      15: q
      16: q^2+q
      17: q^2+q
      18: q^2+q
      19: q^2+q
      21: q
      23: q^2+q
      24: q
      25: q^2+q
      27: q
      29: q
      30: q^2+q
      31: q^2+q
      34: q
      35: q
      36: q
      37: q
      48: q
      49: q
      58: q
      60: q
      61: q^2+q
      62: q^2+q
      65: q
      66: q
      67: q
      68: q
      75: 1
      76: 1
      78: 1
      85: q
      86: q
      94: 1
      95: 1
     103: 1
     105: 1
     107: 1
     110: q
     111: q
     112: q
     113: q
     115: 1
     117: 1
     131: 1
     133: 1
     134: q
     135: q
     139: 1
     146: 1
     153: 1
     155: 1
     162: 1
     164: 1
     186: 1
     188: 1
     189: 1
     214: 1
     216: 1
     227: 1
     229: 1
     247: 1
     256: 1
     279: 1
     281: 1
     313: 1

314:   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^2+2q+1
      10: q+1
      11: q+1
      12: q+1
      13: q+1
      14: q+1
      15: q+1
      16: q+1
      18: 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
      32: q^2+2q+1
      33: q^2+2q+1
      34: q+1
      35: q+1
      36: q+1
      37: q+1
      38: q+1
      39: 1
      40: q+1
      41: 1
      42: 1
      43: 1
      44: q^2+2q+1
      45: q+1
      46: q^2+2q+1
      47: q+1
      48: q+1
      49: q+1
      50: 1
      51: 1
      52: 1
      53: 1
      54: q+1
      55: q+1
      56: q^2+2q+1
      57: q+1
      58: q+1
      59: q+1
      60: q+1
      63: q+1
      64: q+1
      65: q+1
      66: q+1
      69: q+1
      70: 1
      71: q+1
      72: 1
      73: 1
      74: 1
      75: q+1
      76: 1
      78: 1
      79: q+1
      80: 1
      81: q+1
      82: 1
      83: 1
      84: 1
      87: 1
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      94: 1
      95: 1
      96: q+1
      97: q+1
      98: 1
      99: 1
     100: 1
     101: 1
     102: q+1
     104: 1
     106: 1
     108: q+1
     109: q+1
     110: q+1
     112: q+1
     114: q+1
     115: 1
     117: 1
     118: 1
     119: 1
     120: 1
     122: 1
     124: q+1
     125: 1
     126: q+1
     127: 1
     128: 1
     129: 1
     130: 1
     132: 1
     136: 1
     137: 1
     138: 1
     139: 1
     142: 1
     143: 1
     146: 1
     147: q+1
     148: 1
     149: 1
     150: q+1
     152: 1
     154: 1
     156: 1
     157: 1
     158: 1
     159: 1
     161: 1
     162: 1
     165: 1
     166: 1
     167: 1
     169: 1
     177: 1
     178: 1
     179: 1
     181: 1
     183: 1
     185: 1
     187: 1
     190: 1
     193: 1
     197: 1
     198: 1
     211: 1
     213: 1
     217: 1
     218: 1
     221: 1
     222: 1
     226: 1
     227: 1
     236: 1
     237: 1
     238: 1
     240: 1
     248: 1
     250: 1
     257: 1
     276: 1
     278: 1
     286: 1
     287: 1
     314: 1

315:   3: q^2+q
       6: q
       9: q^2+q
      10: q
      12: q
      13: q
      14: q
      15: q
      16: q
      18: q
      21: q
      23: q
      24: q
      25: q
      27: q
      29: q
      34: q
      35: q
      36: q
      37: q
      48: q
      49: q
      58: q
      60: q
      65: q
      66: q
      75: q+1
      76: 1
      78: 1
      94: 1
      95: 1
     103: q+1
     105: 1
     107: 1
     110: q
     112: q
     114: q+1
     115: 1
     117: 1
     131: 1
     133: 1
     138: 1
     139: 1
     146: 1
     151: q+1
     153: 1
     155: 1
     161: 1
     162: 1
     184: 1
     186: 1
     188: 1
     190: 1
     193: 1
     212: 1
     214: 1
     226: 1
     227: 1
     249: 1
     251: 1
     257: 1
     277: 1
     279: 1
     315: 1

316:   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: q+1
      10: 1
      11: q^2+q+1
      12: q+1
      13: q+1
      14: 1
      15: 1
      16: q+1
      17: 1
      18: 1
      19: 1
      20: q+1
      21: 1
      22: q+1
      23: 1
      24: 1
      25: 1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      30: 1
      31: 1
      32: q+1
      33: q+1
      34: q+1
      35: 1
      36: q+1
      37: 1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: q+1
      45: q+1
      46: q+1
      47: q^2+q+1
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: q+1
      55: q+1
      56: q+1
      57: q+1
      58: 1
      59: q+1
      60: 1
      61: 1
      62: 1
      63: q+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
      79: 1
      80: 1
      81: 1
      82: 1
      83: 1
      84: 1
      85: 1
      86: 1
      87: 1
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      94: 1
      95: 1
      96: q+1
      97: q+1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     106: 1
     108: q+1
     109: q+1
     110: 1
     111: 1
     112: 1
     113: 1
     114: 1
     115: 1
     117: 1
     118: 1
     119: 1
     120: 1
     121: 1
     122: 1
     123: 1
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     132: 1
     134: 1
     135: 1
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: 1
     146: 1
     147: q+1
     148: 1
     149: 1
     150: 1
     152: 1
     154: 1
     156: 1
     157: 1
     158: 1
     159: 1
     161: 1
     162: 1
     164: 1
     177: 1
     178: 1
     179: 1
     180: 1
     181: 1
     182: 1
     183: 1
     185: 1
     187: 1
     189: 1
     190: 1
     191: 1
     192: 1
     193: 1
     211: 1
     213: 1
     215: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     246: 1
     248: 1
     250: 1
     258: 1
     282: 1
     283: 1
     316: 1

317:   3: q^2+q
       6: q^2+q
       9: q^2+q
      10: q
      12: q^2+q
      13: q^2+q
      14: q
      15: q
      16: q^2+q
      17: q
      18: q
      19: q
      21: q
      23: q
      24: q
      25: q
      27: q^2+q
      29: q^2+q
      30: q
      31: q
      34: q^2+q
      35: q
      36: q^2+q
      37: q
      48: q
      49: q
      58: q
      60: q
      61: q
      62: q
      65: q^2+q
      66: q^2+q
      67: q
      68: q
      75: 1
      76: 1
      78: 1
      85: q
      86: q
      94: 1
      95: 1
     103: 1
     105: 1
     107: 1
     110: q
     111: q
     112: q
     113: q
     114: 1
     115: 1
     117: 1
     131: 1
     133: 1
     134: q
     135: q
     138: 1
     139: 1
     146: 1
     151: 1
     153: 1
     155: 1
     161: 1
     162: 1
     164: 1
     184: 1
     186: 1
     188: 1
     189: 1
     190: 1
     193: 1
     212: 1
     214: 1
     216: 1
     247: 1
     249: 1
     251: 1
     258: 1
     317: 1

318:   0: 2q+1
       1: 1
       2: 2q+1
       3: q+1
       4: 2q+1
       6: q^2+1
       7: 1
       8: 2q+1
       9: q+1
      12: q^2+1
      13: q^2+1
      16: q^2+1
      26: 1
      27: 1
      28: 1
      29: 1
      32: 2q+1
      33: 2q+1
      34: q^2+1
      36: q^2+1
      38: q+1
      39: 1
      40: q+1
      42: 1
      44: 2q+1
      45: 1
      46: 2q+1
      52: 1
      53: 1
      55: 1
      56: 2q+1
      63: 1
      64: 1
      65: 1
      66: 1
      69: q+1
      70: 1
      71: q+1
      73: 1
      75: 1
      76: q+1
      77: q+1
      79: q+1
      80: 1
      81: q+1
      83: 1
      87: 1
      88: 1
      93: 1
      95: 1
      97: 1
     100: 1
     101: 1
     102: 1
     104: 1
     105: q
     114: 1
     115: q+1
     116: q+1
     118: 1
     119: 1
     120: 1
     122: 1
     124: q+1
     125: 1
     126: q+1
     128: 1
     132: 1
     138: 1
     142: 1
     143: 1
     144: 1
     145: 1
     148: 1
     149: 1
     150: 1
     152: 1
     153: q
     160: 1
     171: 2
     172: 1
     173: 2
     175: 1
     177: 1
     178: 1
     179: 1
     181: 1
     183: 1
     199: 1
     201: 1
     202: 1
     205: 2
     207: 1
     221: 1
     222: 1
     223: 1
     224: 1
     225: 2
     242: 1
     252: 1
     253: 1
     288: 1
     291: 1
     292: 1
     318: 1

319:   0: 3q^2+q
       1: q^2+q
       3: q^2+q
       4: 3q^2+q
       6: q
       7: q^2+q
       9: q^2+q
      12: q^2+q
      13: q
      16: q^2+q
      26: q^2+q
      27: q
      28: q^2+q
      29: q
      34: q
      36: q
      38: q^2+q
      39: q
      40: q^2+q
      42: q
      44: 3q^2+q
      45: q^2+q
      52: q
      53: q
      55: q^2+q
      65: q
      66: q
      70: q
      73: q
      75: q
      76: q
      79: q^2+q
      80: q
      81: q^2+q
      83: q
      95: q
     100: q
     101: q
     102: q
     104: q
     114: 1
     115: q+1
     116: q+1
     119: q
     122: q
     125: q
     128: q
     132: q
     138: 1
     144: 1
     151: 1
     152: q
     153: 1
     178: q
     181: q
     184: 1
     199: 1
     206: 2
     208: 1
     224: 1
     243: 1
     254: 1
     255: 1
     288: 1
     319: 1

320:   0: 1
       1: 1
       2: q+1
       3: 1
       4: 1
       6: 1
       7: 1
       8: q+1
       9: 1
      13: 1
      26: 1
      27: 1
      28: 1
      29: 1
      32: 1
      33: 1
      38: 1
      39: 1
      40: 1
      42: 1
      44: 1
      45: 1
      46: q+1
      52: 1
      53: 1
      55: 1
      56: 1
      63: 1
      64: 1
      69: 1
      71: 1
      75: 1
      76: 1
      77: q+1
      79: 1
      80: 1
      81: 1
      83: 1
      93: 1
      95: 1
      97: 1
     100: 1
     101: 1
     102: 1
     104: 1
     114: 1
     116: 1
     118: 1
     120: 1
     124: 1
     126: 1
     132: 1
     144: 1
     145: 1
     150: 1
     160: 1
     161: 1
     163: 1
     171: 1
     173: 1
     177: 1
     179: 1
     194: 1
     205: 1
     211: 1
     223: 1
     224: 1
     225: 1
     230: 1
     232: 1
     252: 1
     268: 1
     289: 1
     293: 1
     320: 1

321:   0: 2q
       1: 2q
       2: 2q^2+2q
       3: q
       4: 2q
       6: q
       7: 2q
       8: 2q^2+2q
       9: q
      13: q
      26: 2q
      27: q
      28: 2q
      29: q
      32: 2q
      33: 2q
      38: q
      39: q
      40: q
      42: q
      44: 2q
      45: 2q
      46: 2q^2+2q
      52: q
      53: q
      55: 2q
      56: 2q
      63: 2q
      64: 2q
      69: q
      71: q
      77: q^2+q
      79: q
      80: q
      81: q
      83: q
      97: 2q
     100: q
     101: q
     116: q
     118: q
     120: q
     124: q
     126: q
     163: q
     171: 1
     173: 1
     177: q
     179: q
     205: 1
     225: 1
     230: 1
     232: 1
     253: 1
     268: 1
     293: 1
     321: 1

322:   0: q
       1: q
       3: q
       4: q
       6: q
       7: q
       9: q
      13: q
      26: q
      27: q
      28: q
      29: q
      38: q
      39: q
      40: q
      42: q
      44: q
      45: q
      52: q
      53: q
      55: q
      75: q
      76: q
      79: q
      80: q
      81: q
      83: q
      95: q
     100: q
     101: q
     102: q
     104: q
     114: 1
     116: 1
     132: q
     144: 1
     151: 1
     161: 1
     163: 1
     194: 1
     206: 1
     212: 1
     224: 1
     254: 1
     269: 1
     289: 1
     322: 1

323:   0: q^2
       1: q^2
       4: q^2
       7: q^2
      26: q^2
      28: q^2
      44: q^2
      45: q^2
      55: q^2
     116: q
     163: q
     206: 1
     255: 1
     269: 1
     323: 1

324:   0: 1
       1: 1
       2: 1
       3: q+1
       4: 1
       5: 1
       6: q+1
       7: 1
       8: 1
       9: q+1
      10: q+1
      11: 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: 1
      21: q+1
      22: 1
      23: q+1
      24: q+1
      25: q+1
      26: 1
      27: q+1
      28: 1
      29: q+1
      30: q+1
      31: q+1
      32: 1
      33: 1
      34: q+1
      35: q+1
      36: q+1
      37: q+1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      48: q+1
      49: q+1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: q+1
      59: 1
      60: q+1
      61: q+1
      62: q+1
      63: 1
      64: 1
      65: q+1
      66: q+1
      67: q+1
      68: q+1
      69: 1
      70: 1
      71: 1
      72: 1
      73: 1
      74: 1
      75: 1
      76: 1
      78: 1
      85: q+1
      86: q+1
      87: 1
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      94: 1
      95: 1
      96: 1
      97: 1
     108: 1
     109: 1
     110: q+1
     111: q+1
     112: q+1
     113: q+1
     114: 1
     115: 1
     117: 1
     118: 1
     119: 1
     120: 1
     121: 1
     122: 1
     123: 1
     134: q+1
     135: q+1
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: 1
     146: 1
     147: 1
     161: 1
     162: 1
     164: 1
     165: 1
     166: 1
     167: 1
     168: 1
     169: 1
     170: 1
     189: 1
     190: 1
     191: 1
     192: 1
     193: 1
     195: 1
     196: 1
     197: 1
     198: 1
     226: 1
     227: 1
     229: 1
     256: 1
     257: 1
     258: 1
     260: 1
     261: 1
     324: 1

325:   0: 1
       1: q+1
       2: 1
       3: q+1
       4: 1
       5: q^2+2q+1
       6: 2q+1
       7: q+1
       8: 1
       9: q+1
      10: 2q+1
      11: q^2+2q+1
      12: 2q+1
      13: 1
      14: 2q+1
      15: q+1
      16: 1
      17: q+1
      18: q+1
      20: q+1
      21: q+1
      22: q+1
      23: q+1
      24: 1
      25: 1
      26: 1
      27: q+1
      28: 1
      29: 1
      30: q+1
      32: 1
      33: 1
      34: 2q+1
      35: 2q+1
      36: 1
      37: q+1
      38: 1
      39: q+1
      40: 1
      41: 2q+1
      42: 1
      43: q+1
      44: 1
      45: q+1
      46: 1
      47: q^2+2q+1
      48: q+1
      49: 1
      50: q+1
      51: 1
      52: 1
      53: 1
      54: q+1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      63: 1
      64: 1
      65: q+1
      66: 1
      67: q+1
      69: 1
      70: q+1
      71: 1
      72: 2q+1
      73: 1
      74: q+1
      75: 1
      76: 1
      78: q+1
      79: 1
      80: q+1
      81: 1
      82: 2q+1
      83: 1
      84: q+1
      85: 1
      87: 1
      88: 1
      89: 1
      90: 1
      91: q+1
      92: 1
      94: 1
      95: 1
      96: 1
      97: 1
      98: q+1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     106: q+1
     108: 1
     109: 1
     110: 1
     111: 1
     112: 1
     114: 1
     115: 1
     117: q+1
     118: 1
     119: 1
     121: q+1
     124: 1
     125: q+1
     126: 1
     127: 2q+1
     128: 1
     129: q+1
     130: 1
     132: 1
     134: 1
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     142: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     152: 1
     154: q+1
     156: q+1
     157: 1
     158: 1
     159: 1
     172: 1
     174: 1
     175: 1
     176: 1
     177: 1
     178: 1
     180: q+1
     183: 1
     185: 1
     187: 1
     191: 1
     193: 1
     203: 1
     204: 1
     207: 1
     209: 1
     217: 1
     218: 1
     219: 1
     221: 1
     231: 1
     233: 1
     244: 1
     250: 1
     266: 1
     282: 1
     295: 1
     297: 1
     325: 1

326:   0: 1
       1: q+1
       2: 1
       3: q+1
       4: 1
       5: q^2+2q+1
       6: 1
       7: q+1
       8: 1
       9: q+1
      10: q+1
      11: q^2+2q+1
      12: 1
      13: 2q+1
      14: q+1
      15: 2q+1
      16: 2q+1
      18: 2q+1
      19: q+1
      20: q+1
      21: 1
      22: q+1
      23: 1
      24: q+1
      25: q+1
      26: 1
      27: 1
      28: 1
      29: q+1
      31: q+1
      32: 1
      33: 1
      34: 1
      35: q+1
      36: 2q+1
      37: 2q+1
      38: 1
      39: 1
      40: 1
      41: q+1
      42: q+1
      43: 2q+1
      44: 1
      45: q+1
      46: 1
      47: q^2+2q+1
      48: 1
      49: q+1
      50: 1
      51: q+1
      52: 1
      53: 1
      54: q+1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      62: 1
      63: 1
      64: 1
      65: 1
      66: q+1
      68: q+1
      69: 1
      70: 1
      71: 1
      72: q+1
      73: q+1
      74: 2q+1
      75: 1
      76: 1
      78: q+1
      79: 1
      80: 1
      81: 1
      82: q+1
      83: q+1
      84: 2q+1
      86: 1
      87: 1
      88: 1
      89: 1
      90: 1
      91: 1
      92: q+1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: q+1
     100: 1
     101: 1
     102: 1
     104: 1
     106: q+1
     108: 1
     109: 1
     110: 1
     112: 1
     113: 1
     114: 1
     115: 1
     117: q+1
     120: 1
     122: 1
     123: q+1
     124: 1
     125: 1
     126: 1
     127: q+1
     128: q+1
     129: 2q+1
     130: 1
     132: 1
     135: 1
     136: 1
     137: 1
     138: 1
     139: 1
     141: 1
     143: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     152: 1
     154: q+1
     156: 1
     157: q+1
     158: 1
     159: 1
     172: 1
     174: 1
     175: 1
     176: 1
     179: 1
     181: 1
     182: q+1
     183: 1
     185: 1
     187: 1
     192: 1
     193: 1
     203: 1
     204: 1
     207: 1
     209: 1
     217: 1
     218: 1
     220: 1
     222: 1
     234: 1
     235: 1
     244: 1
     250: 1
     267: 1
     283: 1
     298: 1
     299: 1
     326: 1

327:   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
       9: q+1
      12: q+1
      13: q+1
      16: q+1
      26: q^2+2q+1
      27: q+1
      28: q^2+2q+1
      29: q+1
      32: q^2+2q+1
      33: q^2+2q+1
      34: q+1
      36: q+1
      38: q+1
      39: q+1
      40: q+1
      42: q+1
      44: q+1
      45: q+1
      46: q+1
      52: q+1
      53: q+1
      55: q+1
      56: q+1
      63: q^2+2q+1
      64: q^2+2q+1
      65: q+1
      66: q+1
      69: q+1
      70: q+1
      71: q+1
      73: q+1
      75: 1
      76: 1
      77: q+1
      79: 1
      80: 1
      81: 1
      83: 1
      87: q+1
      88: q+1
      93: 1
      95: 1
      97: q+1
     100: 1
     101: 1
     102: 1
     104: 1
     114: 1
     115: 1
     116: q+1
     118: q+1
     119: q+1
     120: q+1
     122: q+1
     124: 1
     125: 1
     126: 1
     128: 1
     132: 1
     138: 1
     142: q+1
     143: q+1
     144: 1
     145: 1
     148: 1
     149: 1
     150: 1
     152: 1
     161: 1
     162: 1
     163: q+1
     171: 1
     173: 1
     177: 1
     178: 1
     179: 1
     181: 1
     183: 1
     190: 1
     194: 1
     199: 1
     205: 1
     211: 1
     213: 1
     221: 1
     222: 1
     230: 1
     232: 1
     248: 1
     262: 1
     268: 1
     294: 1
     296: 1
     327: 1

328:   0: q
       1: q^2+q
       2: q
       3: q^2+q
       4: q
       6: q
       7: q^2+q
       8: q
       9: q^2+q
      12: q
      13: q
      16: q
      26: q
      27: q
      28: q
      29: q
      32: q
      33: q
      34: q
      36: q
      38: q
      39: q
      40: q
      42: q
      44: q
      45: q^2+q
      46: q
      52: q
      53: q
      55: q
      56: q
      63: q
      64: q
      65: q
      66: q
      69: q
      70: q
      71: q
      73: q
      75: 2q
      76: q
      77: q
      87: q
      88: q
      93: q
      95: q
      97: q
     103: q
     114: 2q
     115: q
     116: q
     138: q
     144: q
     151: q
     161: 1
     162: 1
     163: q+1
     190: 1
     194: 1
     212: 1
     214: 1
     249: 1
     262: 1
     269: 1
     328: 1

329:   0: 1
       1: 1
       2: 1
       3: q+1
       4: 1
       6: q+1
       7: 1
       8: 1
       9: q+1
      12: q+1
      13: q+1
      16: q+1
      26: 1
      27: q+1
      28: 1
      29: q+1
      32: 1
      33: 1
      34: q+1
      36: q+1
      38: 1
      39: 1
      40: 1
      42: 1
      44: 1
      45: 1
      46: 1
      52: 1
      53: 1
      55: 1
      56: 1
      63: 1
      64: 1
      65: q+1
      66: q+1
      69: 1
      70: 1
      71: 1
      73: 1
      75: 1
      76: 1
      79: 1
      80: 1
      81: 1
      83: 1
      87: 1
      88: 1
      95: 1
      97: 1
     100: 1
     101: 1
     102: 1
     104: 1
     114: 1
     115: 1
     118: 1
     119: 1
     120: 1
     122: 1
     124: 1
     125: 1
     126: 1
     128: 1
     132: 1
     138: 1
     142: 1
     143: 1
     148: 1
     149: 1
     150: 1
     152: 1
     161: 1
     162: 1
     172: 1
     175: 1
     177: 1
     178: 1
     179: 1
     181: 1
     183: 1
     190: 1
     207: 1
     211: 1
     213: 1
     221: 1
     222: 1
     231: 1
     234: 1
     248: 1
     270: 1
     295: 1
     298: 1
     329: 1

330:   6: q^2
      12: q^2
      13: q^2
      16: q^2
      34: q^2
      36: q^2
      76: q
     105: q
     115: q
     153: q
     161: 1
     162: 1
     190: 1
     212: 1
     214: 1
     249: 1
     271: 1
     330: 1

331:   5: 1
      10: 1
      11: 1
      14: 1
      15: 1
      17: 1
      18: 1
      19: 1
      30: 1
      31: 1
      35: 1
      37: 1
      41: 1
      43: 1
      47: 1
      67: 1
      68: 1
      72: 1
      74: 1
      78: 1
      82: 1
      84: 1
     106: 1
     117: 1
     121: 1
     123: 1
     127: 1
     129: 1
     154: 1
     164: 1
     174: 1
     176: 1
     180: 1
     182: 1
     209: 1
     215: 1
     233: 1
     235: 1
     272: 1
     297: 1
     299: 1
     331: 1

332:  17: q^3
      19: q^3
     164: 1
     216: 1
     273: 1
     332: 1

333:   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: q+1
      10: 1
      11: 1
      12: q+1
      13: q+1
      14: 1
      15: 1
      16: q+1
      17: 1
      18: 1
      19: 1
      20: 1
      21: 1
      22: 1
      23: 1
      24: 1
      25: 1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      30: 1
      31: 1
      32: q+1
      33: q+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: 1
      46: 1
      47: 1
      48: 1
      49: 1
      50: 1
      51: 1
      52: q+1
      53: q+1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: 1
      63: q+1
      64: q+1
      65: q+1
      66: q+1
      67: 1
      68: 1
      69: q+1
      70: q+1
      71: q+1
      72: 1
      73: q+1
      74: 1
      75: 1
      76: 1
      77: 1
      78: 1
      85: 1
      86: 1
      87: q+1
      88: q+1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 1
      97: 1
     108: 1
     109: 1
     110: 1
     111: 1
     112: 1
     113: 1
     114: 1
     115: 1
     116: 1
     117: 1
     118: q+1
     119: q+1
     120: q+1
     121: 1
     122: q+1
     123: 1
     134: 1
     135: 1
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     142: q+1
     143: q+1
     144: 1
     145: 1
     146: 1
     147: 1
     161: 1
     162: 1
     163: 1
     164: 1
     165: 1
     166: 1
     167: 1
     168: 1
     169: 1
     170: 1
     189: 1
     190: 1
     191: 1
     192: 1
     193: 1
     194: 1
     195: 1
     196: 1
     197: 1
     198: 1
     199: 1
     200: 1
     258: 1
     260: 1
     261: 1
     262: 1
     263: 1
     333: 1

334:   0: q+1
       1: 1
       2: q+1
       3: q+1
       4: q+1
       5: 1
       6: 1
       7: 1
       8: q+1
       9: q+1
      10: 1
      11: 1
      12: 1
      13: 1
      14: 1
      15: 1
      16: 1
      18: 1
      20: 1
      21: 1
      22: 1
      23: 1
      24: 1
      25: 1
      26: 1
      27: 1
      28: 1
      29: 1
      32: q+1
      33: q+1
      34: 1
      35: 1
      36: 1
      37: 1
      38: q+1
      39: 1
      40: q+1
      41: 1
      42: 1
      43: 1
      44: q+1
      45: 1
      46: q+1
      47: 1
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: q+1
      57: 1
      58: 1
      59: 1
      60: 1
      63: 1
      64: 1
      65: 1
      66: 1
      69: q+1
      70: 1
      71: q+1
      72: 1
      73: 1
      74: 1
      75: q+1
      76: 1
      77: q+1
      78: 1
      87: 1
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: q+1
      94: 1
      95: 1
      96: 1
      97: 1
     108: 1
     109: 1
     110: 1
     112: 1
     114: q+1
     115: 1
     116: q+1
     117: 1
     118: 1
     119: 1
     120: 1
     122: 1
     136: 1
     137: 1
     138: 1
     139: 1
     142: 1
     143: 1
     144: q+1
     145: 1
     146: 1
     147: 1
     161: 1
     162: 1
     163: 1
     165: 1
     166: 1
     167: 1
     169: 1
     190: 1
     193: 1
     194: 1
     197: 1
     198: 1
     199: 1
     200: 1
     226: 1
     227: 1
     228: 1
     257: 1
     259: 1
     262: 1
     263: 1
     334: 1

335:   0: q+1
       1: q^2+q+1
       2: q+1
       3: q+1
       4: q+1
       6: q^2+q+1
       7: 1
       8: q+1
       9: q+1
      12: q^2+q+1
      13: 1
      16: 1
      26: q+1
      27: q+1
      28: 1
      29: 1
      32: q+1
      33: q+1
      34: q^2+q+1
      36: 1
      38: q+1
      39: q^2+q+1
      40: q+1
      42: 1
      44: 1
      45: 1
      46: 1
      52: q+1
      53: 1
      55: 1
      56: 1
      63: q+1
      64: 1
      65: q+1
      66: 1
      69: q+1
      70: q^2+q+1
      71: q+1
      73: 1
      75: 1
      76: 1
      77: 1
      79: 1
      80: 1
      81: 1
      83: 1
      87: q+1
      88: 1
      93: 1
      95: 1
      97: 1
     100: 1
     101: 1
     102: 1
     104: 1
     114: 1
     115: 1
     116: 1
     118: q+1
     119: q+1
     120: 1
     122: 1
     124: 1
     125: 1
     126: 1
     128: 1
     132: 1
     138: 1
     142: q+1
     143: 1
     144: 1
     145: 1
     148: 1
     149: 1
     150: 1
     152: 1
     171: 1
     172: 1
     173: 1
     175: 1
     177: 1
     178: 1
     183: 1
     199: 1
     201: 1
     202: 1
     205: 1
     207: 1
     221: 1
     230: 1
     231: 1
     242: 1
     274: 1
     294: 1
     295: 1
     335: 1

336:   0: q+1
       1: 1
       2: q+1
       3: q+1
       4: q+1
       6: 1
       7: q^2+q+1
       8: q+1
       9: q+1
      12: 1
      13: q^2+q+1
      16: q^2+q+1
      26: 1
      27: 1
      28: q+1
      29: q+1
      32: q+1
      33: q+1
      34: 1
      36: q^2+q+1
      38: q+1
      39: 1
      40: q+1
      42: q^2+q+1
      44: 1
      45: 1
      46: 1
      52: 1
      53: q+1
      55: 1
      56: 1
      63: 1
      64: q+1
      65: 1
      66: q+1
      69: q+1
      70: 1
      71: q+1
      73: q^2+q+1
      75: 1
      76: 1
      77: 1
      79: 1
      80: 1
      81: 1
      83: 1
      87: 1
      88: q+1
      93: 1
      95: 1
      97: 1
     100: 1
     101: 1
     102: 1
     104: 1
     114: 1
     115: 1
     116: 1
     118: 1
     119: 1
     120: q+1
     122: q+1
     124: 1
     125: 1
     126: 1
     128: 1
     132: 1
     138: 1
     142: 1
     143: q+1
     144: 1
     145: 1
     148: 1
     149: 1
     150: 1
     152: 1
     171: 1
     172: 1
     173: 1
     175: 1
     179: 1
     181: 1
     183: 1
     199: 1
     201: 1
     202: 1
     205: 1
     207: 1
     222: 1
     232: 1
     234: 1
     242: 1
     275: 1
     296: 1
     298: 1
     336: 1

337:   0: 2q+1
       1: 2q+1
       2: q+1
       3: 2q+1
       4: 1
       5: q^2+q+1
       6: 2q+1
       7: 1
       8: q+1
       9: 1
      10: q^2+q+1
      11: q^2+1
      12: q^2+2q+1
      13: 1
      14: q+1
      15: q^2+1
      17: q+1
      20: q+1
      21: q+1
      22: 1
      23: q+1
      24: 1
      26: 2q+1
      27: 2q+1
      28: 1
      29: 1
      30: q+1
      32: q+1
      33: 1
      34: 2q+1
      35: q+1
      38: 2q+1
      39: 2q+1
      40: 1
      41: q^2+q+1
      42: 1
      43: q^2+1
      44: 1
      45: 1
      46: 1
      47: q^2+1
      48: q+1
      50: q+1
      51: 1
      52: 2q+1
      53: 1
      54: 1
      55: 1
      56: 1
      57: q+1
      58: q+1
      59: 1
      60: 1
      61: q+1
      63: q+1
      64: 1
      65: 2q+1
      67: q+1
      69: q+1
      70: 2q+1
      71: 1
      72: q+1
      75: 1
      76: 1
      77: 1
      78: q^2+1
      79: 1
      80: 1
      81: 1
      82: 1
      83: 1
      84: 1
      85: q+1
      87: q+1
      89: q+1
      90: 1
      91: q+1
      93: 1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     106: 1
     108: 1
     109: 1
     110: 1
     111: 1
     118: q+1
     119: 2q+1
     120: 1
     121: q+1
     124: 1
     125: 1
     127: 1
     130: 1
     132: 1
     134: 1
     136: 1
     140: q+1
     142: q+1
     145: 1
     146: 1
     147: 1
     148: 1
     156: 1
     158: 1
     159: 1
     165: 1
     166: 1
     167: 1
     168: 1
     171: 1
     172: 1
     174: 1
     177: 1
     178: 1
     180: 1
     187: 1
     191: 1
     195: 1
     197: 1
     200: 1
     201: 1
     203: 1
     217: 1
     219: 1
     221: 1
     230: 1
     231: 1
     233: 1
     260: 1
     264: 1
     266: 1
     274: 1
     282: 1
     337: 1

338:   0: 1
       1: 1
       2: q+1
       3: 1
       4: 2q+1
       5: q^2+1
       6: 1
       7: 2q+1
       8: q+1
       9: 2q+1
      10: q^2+1
      11: q^2+q+1
      13: 2q+1
      15: q^2+q+1
      16: q^2+2q+1
      18: q+1
      19: q+1
      20: 1
      21: 1
      22: q+1
      24: q+1
      25: q+1
      26: 1
      27: 1
      28: 2q+1
      29: 2q+1
      31: q+1
      32: 1
      33: q+1
      36: 2q+1
      37: q+1
      38: 1
      39: 1
      40: 2q+1
      41: q^2+1
      42: 2q+1
      43: q^2+q+1
      44: 1
      45: 1
      46: 1
      47: q^2+1
      49: q+1
      50: 1
      51: q+1
      52: 1
      53: 2q+1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: q+1
      60: q+1
      62: q+1
      63: 1
      64: q+1
      66: 2q+1
      68: q+1
      69: 1
      71: q+1
      73: 2q+1
      74: q+1
      75: 1
      76: 1
      77: 1
      78: q^2+1
      79: 1
      80: 1
      81: 1
      82: 1
      83: 1
      84: 1
      86: q+1
      88: q+1
      89: 1
      90: q+1
      92: q+1
      93: 1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     106: 1
     108: 1
     109: 1
     112: 1
     113: 1
     118: 1
     120: q+1
     122: 2q+1
     123: q+1
     126: 1
     128: 1
     129: 1
     130: 1
     132: 1
     135: 1
     137: 1
     141: q+1
     143: q+1
     145: 1
     146: 1
     147: 1
     149: 1
     157: 1
     158: 1
     159: 1
     165: 1
     167: 1
     169: 1
     170: 1
     173: 1
     175: 1
     176: 1
     179: 1
     181: 1
     182: 1
     187: 1
     192: 1
     196: 1
     198: 1
     200: 1
     202: 1
     204: 1
     218: 1
     220: 1
     222: 1
     232: 1
     234: 1
     235: 1
     261: 1
     265: 1
     267: 1
     275: 1
     283: 1
     338: 1

339:   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
      11: q+1
      13: q+1
      15: q+1
      20: q+1
      21: q+1
      22: q+1
      24: q+1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      32: q+1
      33: q+1
      38: q+1
      39: q+1
      40: q+1
      41: q+1
      42: q+1
      43: q+1
      44: 1
      45: 1
      46: q^2+q+1
      47: 1
      50: q+1
      51: q+1
      52: q+1
      53: q+1
      54: 1
      55: 1
      56: 1
      57: q+1
      58: q+1
      59: q+1
      60: q+1
      63: q+1
      64: q+1
      69: q+1
      71: q+1
      75: 1
      76: 1
      77: q^2+q+1
      78: 1
      79: 1
      80: 1
      81: 1
      82: 1
      83: 1
      84: 1
      89: q+1
      90: q+1
      93: 1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     106: 1
     108: q+1
     109: q+1
     114: 1
     116: 1
     118: q+1
     120: q+1
     124: 1
     126: 1
     130: 1
     132: 1
     144: 1
     145: 1
     146: 1
     147: 1
     150: 1
     158: 1
     159: 1
     161: 1
     163: 1
     165: q+1
     167: q+1
     171: 1
     173: 1
     177: 1
     179: 1
     187: 1
     194: 1
     200: 1
     205: 1
     211: 1
     226: 1
     228: 1
     230: 1
     232: 1
     236: 1
     238: 1
     259: 1
     268: 1
     276: 1
     300: 1
     302: 1
     339: 1

340:   0: q
       1: q
       3: q
       4: q
       5: q
       6: q
       7: q
       9: q
      10: q
      11: q
      13: q
      15: q
      20: q
      21: q
      22: q
      24: q
      26: q
      27: q
      28: q
      29: q
      38: q
      39: q
      40: q
      41: q
      42: q
      43: q
      44: q
      45: q
      47: q
      50: q
      51: q
      52: q
      53: q
      54: q
      55: q
      57: q
      58: q
      59: q
      60: q
      75: q
      76: q
      78: q
      89: q
      90: q
      94: q
      95: q
      96: q
     114: 1
     116: 1
     144: 1
     146: q
     151: 1
     161: 1
     163: 1
     194: 1
     206: 1
     212: 1
     226: 1
     228: 1
     259: 1
     269: 1
     277: 1
     340: 1

341:   0: q+1
       1: 1
       3: q+1
       4: q+1
       5: 1
       6: 1
       7: 1
       9: q+1
      10: 1
      11: 1
      12: q+1
      13: 1
      14: q+1
      15: 1
      16: q+1
      18: q+1
      20: 1
      21: 1
      22: 1
      23: q+1
      24: 1
      25: q+1
      26: 1
      27: 1
      28: 1
      29: 1
      34: 1
      35: 1
      36: 1
      37: 1
      38: q+1
      39: 1
      40: q+1
      41: 1
      42: 1
      43: 1
      44: q+1
      45: 1
      47: 1
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      57: 1
      58: 1
      59: 1
      60: 1
      65: 1
      66: 1
      70: 1
      72: 1
      73: 1
      74: 1
      75: q+1
      76: 1
      78: 1
      79: q+1
      80: 1
      81: q+1
      82: 1
      83: 1
      84: 1
      89: 1
      90: 1
      91: 1
      92: 1
      94: 1
      95: 1
      96: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: q+1
     104: 1
     106: 1
     110: 1
     112: 1
     115: 1
     117: 1
     119: 1
     122: 1
     125: 1
     127: 1
     128: 1
     129: 1
     130: 1
     132: 1
     139: 1
     146: 1
     152: 1
     154: 1
     156: 1
     157: 1
     158: 1
     159: 1
     162: 1
     166: 1
     169: 1
     172: 1
     174: 1
     175: 1
     176: 1
     178: 1
     181: 1
     185: 1
     187: 1
     203: 1
     204: 1
     207: 1
     209: 1
     213: 1
     227: 1
     231: 1
     234: 1
     237: 1
     240: 1
     244: 1
     270: 1
     278: 1
     301: 1
     304: 1
     341: 1

342:  12: q^2
      14: q^2
      16: q^2
      18: q^2
      23: q^2
      25: q^2
     115: 1
     117: 1
     139: 1
     153: 1
     155: 1
     162: 1
     186: 1
     208: 1
     210: 1
     214: 1
     227: 1
     245: 1
     271: 1
     279: 1
     342: 1

343:   1: q+1
       5: q+1
       6: q+1
       7: q+1
      10: q+1
      11: q+1
      12: 1
      13: q+1
      14: 1
      15: q+1
      16: 1
      17: q+1
      18: 1
      19: q+1
      20: q+1
      21: q+1
      22: q+1
      23: 1
      24: q+1
      25: 1
      30: 1
      31: 1
      34: 1
      35: 1
      36: 1
      37: 1
      39: q+1
      41: q+1
      42: q+1
      43: q+1
      45: q+1
      47: q+1
      48: 1
      49: 1
      50: q+1
      51: q+1
      54: q+1
      61: 1
      62: 1
      67: 1
      68: 1
      70: 1
      72: 1
      73: 1
      74: 1
      76: q+1
      78: q+1
      80: q+1
      82: q+1
      83: q+1
      84: q+1
      91: 1
      92: 1
      94: q+1
      98: q+1
      99: q+1
     104: q+1
     106: q+1
     111: 1
     113: 1
     115: 1
     117: 1
     121: 1
     123: 1
     125: 1
     127: 1
     128: 1
     129: 1
     130: q+1
     139: 1
     152: 1
     154: 1
     156: 1
     157: 1
     164: 1
     168: 1
     170: 1
     172: 1
     174: 1
     175: 1
     176: 1
     180: 1
     182: 1
     185: 1
     203: 1
     204: 1
     207: 1
     209: 1
     215: 1
     229: 1
     233: 1
     235: 1
     239: 1
     241: 1
     244: 1
     272: 1
     280: 1
     303: 1
     305: 1
     343: 1

344:  12: q^2
      14: q^2
      16: q^2
      17: q^3+q^2
      18: q^2
      19: q^3+q^2
      23: q^2
      25: q^2
      30: q^2
      31: q^2
      61: q^2
      62: q^2
     115: 1
     117: 1
     139: 1
     153: 1
     155: 1
     164: 1
     186: 1
     208: 1
     210: 1
     216: 1
     229: 1
     245: 1
     273: 1
     281: 1
     344: 1

345:   0: 1
       1: 1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
       9: 1
      10: 1
      11: 1
      12: q+1
      13: 1
      14: q+1
      15: 1
      17: q+1
      20: 1
      21: 1
      22: 1
      23: q+1
      24: 1
      26: 1
      27: 1
      28: 1
      29: 1
      30: q+1
      34: 1
      35: 1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      45: 1
      47: 1
      48: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: q+1
      65: 1
      67: 1
      70: 1
      72: 1
      75: 1
      76: 1
      78: 1
      79: 1
      80: 1
      81: 1
      82: 1
      83: 1
      84: 1
      85: 1
      89: 1
      90: 1
      91: 1
      94: 1
      95: 1
      96: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     106: 1
     110: 1
     111: 1
     119: 1
     121: 1
     125: 1
     127: 1
     130: 1
     132: 1
     134: 1
     140: 1
     146: 1
     156: 1
     158: 1
     159: 1
     166: 1
     168: 1
     172: 1
     174: 1
     178: 1
     180: 1
     187: 1
     195: 1
     203: 1
     219: 1
     231: 1
     233: 1
     237: 1
     239: 1
     266: 1
     284: 1
     301: 1
     303: 1
     345: 1

346:   0: 1
       1: 1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
       9: 1
      10: 1
      11: 1
      13: 1
      15: 1
      16: q+1
      18: q+1
      19: q+1
      20: 1
      21: 1
      22: 1
      24: 1
      25: q+1
      26: 1
      27: 1
      28: 1
      29: 1
      31: q+1
      36: 1
      37: 1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      45: 1
      47: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      57: 1
      58: 1
      59: 1
      60: 1
      62: q+1
      66: 1
      68: 1
      73: 1
      74: 1
      75: 1
      76: 1
      78: 1
      79: 1
      80: 1
      81: 1
      82: 1
      83: 1
      84: 1
      86: 1
      89: 1
      90: 1
      92: 1
      94: 1
      95: 1
      96: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     106: 1
     112: 1
     113: 1
     122: 1
     123: 1
     128: 1
     129: 1
     130: 1
     132: 1
     135: 1
     141: 1
     146: 1
     157: 1
     158: 1
     159: 1
     169: 1
     170: 1
     175: 1
     176: 1
     181: 1
     182: 1
     187: 1
     196: 1
     204: 1
     220: 1
     234: 1
     235: 1
     240: 1
     241: 1
     267: 1
     285: 1
     304: 1
     305: 1
     346: 1

347:   0: q^2+2q+1
       1: q+1
       2: q+1
       3: q^2+2q+1
       4: q+1
       5: q+1
       6: q+1
       7: 1
       8: q^2+2q+1
       9: q+1
      10: q+1
      11: 1
      12: q^2+q+1
      13: 1
      14: q^2+q+1
      15: 1
      20: q+1
      21: q+1
      22: 1
      23: q^2+q+1
      24: 1
      26: q+1
      27: q+1
      28: 1
      29: 1
      32: q+1
      33: q+1
      34: q+1
      35: q+1
      38: q^2+2q+1
      39: q+1
      40: q+1
      41: q+1
      42: 1
      43: 1
      44: q+1
      45: 1
      46: q+1
      47: 1
      48: q+1
      50: q+1
      51: 1
      52: q+1
      53: 1
      54: 1
      55: 1
      56: q+1
      57: q+1
      58: q+1
      59: 1
      60: 1
      63: 1
      64: 1
      65: q+1
      69: q+1
      70: q+1
      71: q+1
      72: q+1
      75: q+1
      76: 1
      77: q+1
      78: 1
      79: q+1
      80: 1
      81: q+1
      82: 1
      83: 1
      84: 1
      87: 1
      89: q+1
      90: 1
      91: q+1
      93: q+1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: q+1
     104: 1
     106: 1
     108: 1
     109: 1
     110: q+1
     118: 1
     119: q+1
     120: 1
     124: q+1
     125: 1
     127: 1
     130: 1
     132: 1
     136: 1
     142: 1
     145: 1
     146: 1
     147: 1
     148: 1
     156: 1
     158: 1
     159: 1
     165: 1
     166: q+1
     167: 1
     171: q+1
     172: 1
     174: 1
     177: 1
     178: 1
     187: 1
     197: 1
     200: 1
     201: 1
     203: 1
     217: 1
     221: 1
     230: 1
     231: 1
     236: 1
     237: 1
     264: 1
     274: 1
     286: 1
     300: 1
     301: 1
     347: 1

348:   0: q+1
       1: 1
       2: q^2+2q+1
       3: q+1
       4: q^2+2q+1
       5: 1
       6: 1
       7: q+1
       8: q+1
       9: q^2+2q+1
      10: 1
      11: q+1
      13: q+1
      15: q+1
      16: q^2+q+1
      18: q^2+q+1
      20: 1
      21: 1
      22: q+1
      24: q+1
      25: q^2+q+1
      26: 1
      27: 1
      28: q+1
      29: q+1
      32: q+1
      33: q+1
      36: q+1
      37: q+1
      38: q+1
      39: 1
      40: q^2+2q+1
      41: 1
      42: q+1
      43: q+1
      44: q+1
      45: 1
      46: q+1
      47: 1
      49: q+1
      50: 1
      51: q+1
      52: 1
      53: q+1
      54: 1
      55: 1
      56: q+1
      57: 1
      58: 1
      59: q+1
      60: q+1
      63: 1
      64: 1
      66: q+1
      69: q+1
      71: q+1
      73: q+1
      74: q+1
      75: q+1
      76: 1
      77: q+1
      78: 1
      79: q+1
      80: 1
      81: q+1
      82: 1
      83: 1
      84: 1
      88: 1
      89: 1
      90: q+1
      92: q+1
      93: q+1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: q+1
     104: 1
     106: 1
     108: 1
     109: 1
     112: q+1
     118: 1
     120: 1
     122: q+1
     126: q+1
     128: 1
     129: 1
     130: 1
     132: 1
     137: 1
     143: 1
     145: 1
     146: 1
     147: 1
     149: 1
     157: 1
     158: 1
     159: 1
     165: 1
     167: 1
     169: q+1
     173: q+1
     175: 1
     176: 1
     179: 1
     181: 1
     187: 1
     198: 1
     200: 1
     202: 1
     204: 1
     218: 1
     222: 1
     232: 1
     234: 1
     238: 1
     240: 1
     265: 1
     275: 1
     287: 1
     302: 1
     304: 1
     348: 1

349:   0: q^2+4q+1
       1: 2q+1
       2: 2q^2+3q+1
       3: q^2+4q+1
       4: q^2+4q+1
       6: 2q+1
       7: 2q+1
       8: 2q^2+3q+1
       9: q^2+4q+1
      12: q^2+q+1
      13: 2q+1
      16: q^2+q+1
      26: 2q+1
      27: 2q+1
      28: 2q+1
      29: 2q+1
      32: 3q+1
      33: 3q+1
      34: q+1
      36: q+1
      38: q^2+4q+1
      39: 2q+1
      40: q^2+4q+1
      42: 2q+1
      44: 4q+1
      45: 2q+1
      46: q^2+3q+1
      52: 2q+1
      53: 2q+1
      55: 2q+1
      56: 3q+1
      63: q+1
      64: q+1
      65: q+1
      66: q+1
      69: 3q+1
      70: q+1
      71: 3q+1
      73: q+1
      75: 4q+1
      76: 2q+1
      77: q^2+3q+1
      79: 3q+1
      80: q+1
      81: 3q+1
      83: q+1
      87: 1
      88: 1
      93: 3q+1
      95: 2q+1
      97: q+1
     100: q+1
     101: q+1
     102: 3q+1
     104: q+1
     114: q+2
     115: q+2
     116: q+2
     118: q+1
     119: q+1
     120: q+1
     122: q+1
     124: q+1
     125: 1
     126: q+1
     128: 1
     132: q+1
     138: 2
     142: 1
     143: 1
     144: q+2
     145: q+1
     148: 1
     149: 1
     150: 1
     151: 1
     152: 1
     153: 1
     160: 1
     171: q+1
     172: 1
     173: q+1
     175: 1
     177: 1
     178: 1
     179: 1
     181: 1
     183: 1
     184: 1
     199: 2
     201: 1
     202: 1
     205: 1
     206: 1
     207: 1
     208: 1
     221: 1
     222: 1
     223: 1
     224: 2
     225: 1
     230: 1
     231: 1
     232: 1
     234: 1
     242: 1
     243: 1
     252: 1
     254: 1
     274: 1
     275: 1
     288: 1
     293: 1
     349: 1

350:   0: 3q+1
       1: q+1
       2: 3q+1
       3: q+1
       4: 3q+1
       6: 1
       7: q+1
       8: 3q+1
       9: q+1
      12: 1
      13: 1
      16: 1
      26: q+1
      27: 1
      28: q+1
      29: 1
      32: 3q+1
      33: 3q+1
      34: 1
      36: 1
      38: q+1
      39: 1
      40: q+1
      42: 1
      44: 3q+1
      45: q+1
      46: 3q+1
      52: 1
      53: 1
      55: q+1
      56: 3q+1
      63: q+1
      64: q+1
      65: 1
      66: 1
      69: q+1
      70: 1
      71: q+1
      73: 1
      75: 1
      76: 1
      77: 2q+1
      79: q+1
      80: 1
      81: q+1
      83: 1
      87: 1
      88: 1
      93: 1
      95: 1
      97: q+1
     100: 1
     101: 1
     102: 1
     104: 1
     114: 1
     115: 1
     116: 2q+1
     118: 1
     119: 1
     120: 1
     122: 1
     124: q+1
     125: 1
     126: q+1
     128: 1
     132: 1
     138: 1
     142: 1
     143: 1
     144: 1
     145: 1
     148: 1
     149: 1
     150: 1
     152: 1
     160: 1
     171: 2
     173: 2
     177: 1
     178: 1
     179: 1
     181: 1
     183: 1
     199: 1
     205: 2
     221: 1
     222: 1
     223: 1
     224: 1
     225: 2
     230: 1
     232: 1
     252: 1
     253: 1
     288: 1
     293: 1
     294: 1
     296: 1
     350: 1

351:   0: 1
       1: 1
       2: 1
       3: q+1
       4: 1
       5: 1
       6: q+1
       7: 1
       8: 1
      10: q+1
      11: 1
      12: q+1
      14: q+1
      17: q+1
      20: 1
      21: q+1
      22: 1
      23: q+1
      26: 1
      27: q+1
      28: 1
      30: q+1
      32: 1
      33: 1
      34: q+1
      35: q+1
      38: 1
      39: 1
      41: 1
      44: 1
      45: 1
      46: 1
      47: 1
      48: q+1
      50: 1
      52: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: q+1
      59: 1
      61: q+1
      63: 1
      64: 1
      65: q+1
      67: q+1
      69: 1
      70: 1
      72: 1
      79: 1
      80: 1
      82: 1
      85: q+1
      87: 1
      89: 1
      91: 1
      96: 1
      97: 1
      98: 1
     100: 1
     108: 1
     109: 1
     110: q+1
     111: q+1
     118: 1
     119: 1
     121: 1
     124: 1
     125: 1
     127: 1
     134: q+1
     136: 1
     140: 1
     142: 1
     147: 1
     148: 1
     156: 1
     158: 1
     165: 1
     166: 1
     168: 1
     177: 1
     178: 1
     180: 1
     191: 1
     195: 1
     197: 1
     217: 1
     219: 1
     221: 1
     236: 1
     237: 1
     239: 1
     260: 1
     282: 1
     284: 1
     286: 1
     351: 1

352:   0: 1
       1: 1
       2: 1
       4: 1
       5: 1
       7: 1
       8: 1
       9: q+1
      11: 1
      13: q+1
      15: q+1
      16: q+1
      18: q+1
      19: q+1
      20: 1
      22: 1
      24: q+1
      25: q+1
      26: 1
      28: 1
      29: q+1
      31: q+1
      32: 1
      33: 1
      36: q+1
      37: q+1
      40: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      49: q+1
      51: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: 1
      59: 1
      60: q+1
      62: q+1
      63: 1
      64: 1
      66: q+1
      68: q+1
      71: 1
      73: 1
      74: 1
      81: 1
      83: 1
      84: 1
      86: q+1
      88: 1
      90: 1
      92: 1
      96: 1
      97: 1
      99: 1
     101: 1
     108: 1
     109: 1
     112: q+1
     113: q+1
     120: 1
     122: 1
     123: 1
     126: 1
     128: 1
     129: 1
     135: q+1
     137: 1
     141: 1
     143: 1
     147: 1
     149: 1
     157: 1
     159: 1
     167: 1
     169: 1
     170: 1
     179: 1
     181: 1
     182: 1
     192: 1
     196: 1
     198: 1
     218: 1
     220: 1
     222: 1
     238: 1
     240: 1
     241: 1
     261: 1
     283: 1
     285: 1
     287: 1
     352: 1

353:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       6: q+1
       7: q+1
       8: q+1
       9: q+1
      12: q+1
      13: q+1
      16: q+1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      32: q+1
      33: q+1
      34: q+1
      36: q+1
      38: 1
      39: 1
      40: 1
      42: 1
      44: q+1
      45: q+1
      46: q+1
      52: 1
      53: 1
      55: q+1
      56: q+1
      63: q+1
      64: q+1
      65: q+1
      66: q+1
      69: 1
      70: 1
      71: 1
      73: 1
      75: 2
      76: 2
      77: q+1
      79: 1
      80: 1
      81: 1
      83: 1
      87: 1
      88: 1
      93: 1
      95: 2
      97: q+1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     114: 2
     115: 2
     116: q+1
     118: 1
     119: 1
     120: 1
     122: 1
     124: 1
     125: 1
     126: 1
     128: 1
     132: 1
     133: 1
     138: 2
     142: 1
     143: 1
     144: 1
     145: 1
     148: 1
     149: 1
     150: 1
     151: 1
     152: 1
     153: 1
     160: 1
     161: 2
     162: 2
     163: q+1
     177: 1
     178: 1
     179: 1
     181: 1
     183: 1
     184: 1
     190: 2
     194: 1
     199: 1
     211: 1
     212: 1
     213: 1
     214: 1
     221: 1
     222: 1
     223: 1
     224: 1
     248: 1
     249: 1
     262: 1
     288: 1
     289: 1
     353: 1

354:   0: 3q+1
       1: q+1
       2: 3q+1
       3: q^2+2q+1
       4: 3q+1
       5: q+1
       6: q+1
       7: q+1
       8: 3q+1
       9: q^2+2q+1
      10: q+1
      11: q+1
      12: q+1
      13: q+1
      14: q+1
      15: q+1
      16: q+1
      18: 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
      32: 3q+1
      33: 3q+1
      34: q+1
      35: q+1
      36: q+1
      37: q+1
      38: q+1
      39: 1
      40: q+1
      41: 1
      42: 1
      43: 1
      44: 3q+1
      45: q+1
      46: 3q+1
      47: q+1
      48: q+1
      49: q+1
      50: 1
      51: 1
      52: 1
      53: 1
      54: q+1
      55: q+1
      56: 3q+1
      57: q+1
      58: q+1
      59: q+1
      60: q+1
      63: q+1
      64: q+1
      65: q+1
      66: q+1
      69: q+1
      70: 1
      71: q+1
      72: 1
      73: 1
      74: 1
      75: 2
      76: 2
      77: q+1
      78: 2
      79: q+1
      80: 1
      81: q+1
      82: 1
      83: 1
      84: 1
      87: 1
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 1
      94: 2
      95: 2
      96: q+1
      97: q+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: q+1
     112: q+1
     114: 2
     115: 2
     116: q+1
     117: 2
     118: 1
     119: 1
     120: 1
     122: 1
     124: q+1
     125: 1
     126: q+1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 1
     136: 1
     137: 1
     138: 2
     139: 2
     142: 1
     143: 1
     144: 1
     145: 1
     146: 2
     147: q+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
     165: 1
     166: 1
     167: 1
     169: 1
     177: 1
     178: 1
     179: 1
     181: 1
     183: 1
     184: 1
     185: 1
     186: 1
     187: 1
     188: 1
     193: 2
     197: 1
     198: 1
     199: 1
     200: 1
     217: 1
     218: 1
     221: 1
     222: 1
     223: 1
     224: 1
     236: 1
     237: 1
     238: 1
     240: 1
     250: 1
     251: 1
     263: 1
     286: 1
     287: 1
     288: 1
     290: 1
     354: 1

355:   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: q+1
      11: 1
      13: q+1
      15: q+1
      20: 1
      21: q+1
      22: 1
      24: q+1
      26: 1
      27: q+1
      28: 1
      29: q+1
      32: 1
      33: 1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: q^2+q+1
      47: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: q+1
      59: 1
      60: q+1
      63: 1
      64: 1
      69: 1
      71: 1
      75: 2
      76: 2
      77: q^2+q+1
      78: 2
      79: 1
      80: 1
      81: 1
      82: 1
      83: 1
      84: 1
      89: 1
      90: 1
      93: 1
      94: 2
      95: 2
      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
     114: 2
     116: 1
     118: 1
     120: 1
     124: 1
     126: 1
     130: 1
     131: 1
     132: 1
     133: 1
     144: 1
     145: 1
     146: 2
     147: 1
     150: 1
     151: 1
     158: 1
     159: 1
     160: 1
     161: 2
     163: 1
     165: 1
     167: 1
     177: 1
     179: 1
     187: 1
     188: 1
     194: 1
     200: 1
     211: 1
     212: 1
     223: 1
     224: 1
     226: 2
     228: 1
     236: 1
     238: 1
     259: 1
     276: 1
     277: 1
     289: 1
     290: 1
     355: 1

356:   0: q+1
       1: 1
       2: 2q+1
       3: q^2+q+1
       4: q+1
       5: 1
       6: 2q^2+1
       7: 1
       8: 2q+1
       9: 1
      10: 2q^2+1
      11: 1
      12: q^2+1
      13: q^2+1
      14: q^2+1
      15: q^2+1
      20: 1
      21: 2q^2+1
      22: 1
      23: q^2+1
      24: q^2+1
      26: 1
      27: q^2+1
      28: 1
      29: 1
      32: q+1
      33: q+1
      34: q^2+1
      35: q^2+1
      38: q+1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: q+1
      45: 1
      46: 2q+1
      47: 1
      48: q^2+1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: q+1
      57: 1
      58: q^2+1
      59: 1
      60: 1
      63: 1
      64: 1
      65: 1
      69: q+1
      70: 1
      71: 1
      72: 1
      75: 1
      76: q+1
      77: q+1
      78: q+1
      79: q+1
      80: 1
      81: 1
      82: 1
      83: 1
      84: 1
      87: 1
      89: 1
      90: 1
      91: 1
      93: 1
      94: q+1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     105: q
     106: 1
     107: q
     108: 1
     109: 1
     110: 1
     118: 1
     119: 1
     120: 1
     124: q+1
     125: 1
     126: 1
     127: 1
     130: 1
     131: q
     132: 1
     136: 1
     142: 1
     145: 1
     146: 1
     147: 1
     148: 1
     156: 1
     158: 1
     159: 1
     160: 1
     165: 1
     166: 1
     167: 1
     171: 1
     172: 1
     173: 1
     174: 1
     177: 1
     178: 1
     179: 1
     187: 1
     197: 1
     200: 1
     201: 1
     203: 1
     217: 1
     221: 1
     223: 1
     225: 1
     236: 1
     237: 1
     238: 1
     264: 1
     286: 1
     290: 1
     291: 1
     356: 1

357:   0: q+1
       1: 1
       2: 2q+1
       3: 1
       4: q+1
       5: 1
       6: q^2+1
       7: 1
       8: 2q+1
       9: q^2+q+1
      10: q^2+1
      11: 1
      13: 2q^2+1
      15: 2q^2+1
      16: q^2+1
      18: q^2+1
      20: 1
      21: q^2+1
      22: 1
      24: 2q^2+1
      25: q^2+1
      26: 1
      27: 1
      28: 1
      29: q^2+1
      32: q+1
      33: q+1
      36: q^2+1
      37: q^2+1
      38: 1
      39: 1
      40: q+1
      41: 1
      42: 1
      43: 1
      44: q+1
      45: 1
      46: 2q+1
      47: 1
      49: q^2+1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: q+1
      57: 1
      58: 1
      59: 1
      60: q^2+1
      63: 1
      64: 1
      66: 1
      69: 1
      71: q+1
      73: 1
      74: 1
      75: 1
      76: q+1
      77: q+1
      78: q+1
      79: 1
      80: 1
      81: q+1
      82: 1
      83: 1
      84: 1
      88: 1
      89: 1
      90: 1
      92: 1
      93: 1
      94: q+1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     105: q
     106: 1
     107: q
     108: 1
     109: 1
     112: 1
     118: 1
     120: 1
     122: 1
     124: 1
     126: q+1
     128: 1
     129: 1
     130: 1
     131: q
     132: 1
     137: 1
     143: 1
     145: 1
     146: 1
     147: 1
     149: 1
     157: 1
     158: 1
     159: 1
     160: 1
     165: 1
     167: 1
     169: 1
     171: 1
     173: 1
     175: 1
     176: 1
     177: 1
     179: 1
     181: 1
     187: 1
     198: 1
     200: 1
     202: 1
     204: 1
     218: 1
     222: 1
     223: 1
     225: 1
     236: 1
     238: 1
     240: 1
     265: 1
     287: 1
     290: 1
     292: 1
     357: 1

358:   0: 1
       1: 1
       2: q^2+2q+1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
       8: q^2+2q+1
       9: 1
      10: 1
      11: 1
      13: 1
      15: 1
      20: 1
      21: 1
      22: 1
      24: 1
      26: 1
      27: 1
      28: 1
      29: 1
      32: 1
      33: 1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: q^2+2q+1
      47: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      63: 1
      64: 1
      69: 1
      71: 1
      75: 1
      76: 1
      77: q^2+2q+1
      78: 1
      79: 1
      80: 1
      81: 1
      82: 1
      83: 1
      84: 1
      89: 1
      90: 1
      93: 1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     106: 1
     108: 1
     109: 1
     118: 1
     120: 1
     124: 1
     126: 1
     130: 1
     132: 1
     145: 1
     146: 1
     147: 1
     158: 1
     159: 1
     160: 1
     165: 1
     167: 1
     171: 1
     173: 1
     177: 1
     179: 1
     187: 1
     200: 1
     223: 1
     225: 1
     230: 1
     232: 1
     236: 1
     238: 1
     290: 1
     293: 1
     300: 1
     302: 1
     358: 1

359:   0: 1
       1: 1
       2: q+1
       3: 1
       4: 1
       6: 1
       7: 1
       8: q+1
       9: 1
      12: q^3+1
      13: 1
      26: 1
      27: 1
      28: 1
      29: 1
      32: 1
      33: 1
      34: 1
      38: 1
      39: 1
      40: 1
      42: 1
      44: 1
      45: 1
      46: q+1
      52: 1
      53: 1
      55: 1
      56: 1
      63: 1
      64: 1
      65: 1
      69: 1
      70: 1
      71: 1
      75: 1
      76: 1
      77: q+1
      79: 1
      80: 1
      81: 1
      83: 1
      87: 1
      93: 1
      95: 1
      97: 1
     100: 1
     101: 1
     102: 1
     104: 1
     118: 1
     119: 1
     120: 1
     124: 1
     125: 1
     126: 1
     132: 1
     142: 1
     145: 1
     148: 1
     160: 1
     171: 1
     172: 1
     173: 1
     177: 1
     178: 1
     179: 1
     201: 1
     221: 1
     223: 1
     225: 1
     230: 1
     231: 1
     232: 1
     274: 1
     291: 1
     293: 1
     359: 1

360:   0: 1
       1: 1
       2: q+1
       3: 1
       4: 1
       6: 1
       7: 1
       8: q+1
       9: 1
      13: 1
      16: q^3+1
      26: 1
      27: 1
      28: 1
      29: 1
      32: 1
      33: 1
      36: 1
      38: 1
      39: 1
      40: 1
      42: 1
      44: 1
      45: 1
      46: q+1
      52: 1
      53: 1
      55: 1
      56: 1
      63: 1
      64: 1
      66: 1
      69: 1
      71: 1
      73: 1
      75: 1
      76: 1
      77: q+1
      79: 1
      80: 1
      81: 1
      83: 1
      88: 1
      93: 1
      95: 1
      97: 1
     100: 1
     101: 1
     102: 1
     104: 1
     118: 1
     120: 1
     122: 1
     124: 1
     126: 1
     128: 1
     132: 1
     143: 1
     145: 1
     149: 1
     160: 1
     171: 1
     173: 1
     175: 1
     177: 1
     179: 1
     181: 1
     202: 1
     222: 1
     223: 1
     225: 1
     230: 1
     232: 1
     234: 1
     275: 1
     292: 1
     293: 1
     360: 1

361:   0: 3q+1
       1: q^2+2q+1
       2: 3q+1
       3: q^2+2q+1
       4: q^2+3q+1
       5: q^2+2q+1
       6: q+1
       7: q+1
       8: q^2+3q+1
       9: q+1
      10: q+1
      11: q+1
      12: q+1
      13: 1
      14: q+1
      15: 1
      16: 1
      18: 1
      20: q^2+2q+1
      21: q+1
      22: q+1
      23: q+1
      24: 1
      25: 1
      26: 2q+1
      27: q+1
      28: q+1
      29: 1
      32: 3q+1
      33: q^2+3q+1
      34: q+1
      35: q+1
      36: 1
      37: 1
      38: 2q+1
      39: q+1
      40: q+1
      41: q+1
      42: 1
      43: 1
      44: 2q+1
      45: q+1
      46: 2q+1
      47: q+1
      48: q+1
      49: 1
      50: q+1
      51: 1
      52: q+1
      53: 1
      54: q+1
      55: q+1
      56: 2q+1
      57: 2q+1
      58: q+1
      59: q+1
      60: 1
      63: 2q+1
      64: q+1
      65: q+1
      66: 1
      69: 2q+1
      70: q+1
      71: q+1
      72: q+1
      73: 1
      74: 1
      75: 1
      76: 1
      77: q+1
      78: 1
      79: q+1
      80: 1
      81: 1
      82: 1
      83: 1
      84: 1
      87: q+1
      88: 1
      89: q+1
      90: 1
      91: q+1
      92: 1
      93: 1
      94: 1
      95: 1
      96: q+1
      97: q+1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     106: 1
     108: 2q+1
     109: q+1
     110: q+1
     112: 1
     114: 1
     115: 1
     116: q+1
     117: 1
     118: 1
     119: 1
     120: 1
     122: 1
     124: q+1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     132: 1
     136: q+1
     137: 1
     138: 1
     139: 1
     142: 1
     143: 1
     144: 1
     145: 1
     146: 1
     147: q+1
     148: 1
     149: 1
     150: 1
     152: 1
     154: 1
     156: 1
     157: 1
     158: 1
     159: 1
     165: 1
     166: 1
     167: 1
     169: 1
     171: 1
     173: 1
     177: 1
     178: 1
     183: 1
     185: 1
     187: 1
     193: 1
     197: 1
     198: 1
     199: 1
     200: 1
     205: 1
     217: 1
     218: 1
     221: 1
     230: 1
     236: 1
     237: 1
     250: 1
     263: 1
     286: 1
     294: 1
     300: 1
     361: 1

362:   0: q+1
       1: q+1
       2: q+1
       3: q^2+2q+1
       4: q+1
       5: q+1
       6: 2q+1
       7: q+1
       8: q+1
       9: q^2+2q+1
      10: 2q+1
      11: q+1
      12: 2q+1
      13: 1
      14: 2q+1
      15: 1
      16: 1
      18: 1
      20: q+1
      21: 2q+1
      22: q+1
      23: 2q+1
      24: 1
      25: 1
      26: 1
      27: q+1
      28: 1
      29: 1
      32: q+1
      33: q+1
      34: 2q+1
      35: 2q+1
      36: 1
      37: 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+1
      48: 2q+1
      49: 1
      50: q+1
      51: 1
      52: 1
      53: 1
      54: q+1
      55: 1
      56: q+1
      57: 1
      58: q+1
      59: 1
      60: 1
      63: 1
      64: 1
      65: q+1
      66: 1
      69: q+1
      70: q+1
      71: q+1
      72: q+1
      73: 1
      74: 1
      75: q+1
      76: 1
      78: 1
      79: q+1
      80: q+1
      81: q+1
      82: q+1
      83: 1
      84: 1
      87: 1
      88: 1
      89: 1
      90: 1
      91: q+1
      92: 1
      94: 1
      95: 1
      96: 1
      97: 1
      98: q+1
      99: 1
     100: 1
     101: 1
     102: q+1
     104: 1
     106: 1
     108: 1
     109: 1
     110: q+1
     112: 1
     114: q+1
     115: 1
     117: 1
     118: 1
     119: 1
     124: q+1
     125: q+1
     126: q+1
     127: q+1
     128: 1
     129: 1
     130: 1
     132: 1
     136: 1
     137: 1
     138: 1
     139: 1
     142: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: q+1
     152: 1
     154: 1
     156: q+1
     157: 1
     158: 1
     159: 1
     165: 1
     166: 1
     172: 1
     174: 1
     175: 1
     176: 1
     177: 1
     178: 1
     183: 1
     185: 1
     187: 1
     193: 1
     197: 1
     203: 1
     204: 1
     207: 1
     209: 1
     217: 1
     218: 1
     221: 1
     231: 1
     236: 1
     237: 1
     244: 1
     250: 1
     286: 1
     295: 1
     301: 1
     362: 1

363:   0: q^2+3q+1
       1: q+1
       2: q^2+3q+1
       3: q+1
       4: 3q+1
       5: q+1
       6: 1
       7: q^2+2q+1
       8: 3q+1
       9: q^2+2q+1
      10: 1
      11: q^2+2q+1
      12: 1
      13: q+1
      14: 1
      15: q+1
      16: q+1
      18: q+1
      20: q+1
      21: 1
      22: q^2+2q+1
      23: 1
      24: q+1
      25: q+1
      26: q+1
      27: 1
      28: 2q+1
      29: q+1
      32: q^2+3q+1
      33: 3q+1
      34: 1
      35: 1
      36: q+1
      37: q+1
      38: q+1
      39: 1
      40: 2q+1
      41: 1
      42: q+1
      43: q+1
      44: 2q+1
      45: q+1
      46: 2q+1
      47: q+1
      48: 1
      49: q+1
      50: 1
      51: q+1
      52: 1
      53: q+1
      54: q+1
      55: q+1
      56: 2q+1
      57: q+1
      58: 1
      59: 2q+1
      60: q+1
      63: q+1
      64: 2q+1
      65: 1
      66: q+1
      69: q+1
      70: 1
      71: 2q+1
      72: 1
      73: q+1
      74: q+1
      75: 1
      76: 1
      77: q+1
      78: 1
      79: 1
      80: 1
      81: q+1
      82: 1
      83: 1
      84: 1
      87: 1
      88: q+1
      89: 1
      90: q+1
      91: 1
      92: q+1
      93: 1
      94: 1
      95: 1
      96: q+1
      97: q+1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     106: 1
     108: q+1
     109: 2q+1
     110: 1
     112: q+1
     114: 1
     115: 1
     116: q+1
     117: 1
     118: 1
     119: 1
     120: 1
     122: 1
     124: 1
     125: 1
     126: q+1
     127: 1
     128: 1
     129: 1
     130: 1
     132: 1
     136: 1
     137: q+1
     138: 1
     139: 1
     142: 1
     143: 1
     144: 1
     145: 1
     146: 1
     147: q+1
     148: 1
     149: 1
     150: 1
     152: 1
     154: 1
     156: 1
     157: 1
     158: 1
     159: 1
     165: 1
     166: 1
     167: 1
     169: 1
     171: 1
     173: 1
     179: 1
     181: 1
     183: 1
     185: 1
     187: 1
     193: 1
     197: 1
     198: 1
     199: 1
     200: 1
     205: 1
     217: 1
     218: 1
     222: 1
     232: 1
     238: 1
     240: 1
     250: 1
     263: 1
     287: 1
     296: 1
     302: 1
     363: 1

364:   1: 1
       5: 1
       6: 1
       7: 1
      10: 1
      11: 1
      12: 1
      13: 1
      14: 1
      15: 1
      16: 1
      17: q+1
      18: 1
      20: 1
      21: 1
      22: 1
      23: 1
      24: 1
      25: 1
      30: 1
      34: 1
      35: 1
      36: 1
      37: 1
      39: 1
      41: 1
      42: 1
      43: 1
      45: 1
      47: 1
      48: 1
      49: 1
      50: 1
      51: 1
      54: 1
      61: 1
      67: 1
      70: 1
      72: 1
      73: 1
      74: 1
      76: 1
      78: 1
      80: 1
      82: 1
      83: 1
      84: 1
      91: 1
      92: 1
      94: 1
      98: 1
      99: 1
     104: 1
     106: 1
     111: 1
     115: 1
     117: 1
     121: 1
     125: 1
     127: 1
     128: 1
     129: 1
     130: 1
     139: 1
     152: 1
     154: 1
     156: 1
     157: 1
     168: 1
     172: 1
     174: 1
     175: 1
     176: 1
     180: 1
     185: 1
     203: 1
     204: 1
     207: 1
     209: 1
     233: 1
     239: 1
     244: 1
     297: 1
     303: 1
     364: 1

365:   0: q+1
       1: q+1
       2: q+1
       3: q^2+2q+1
       4: q+1
       5: q+1
       6: 1
       7: q+1
       8: q+1
       9: q^2+2q+1
      10: 1
      11: q+1
      12: 1
      13: 2q+1
      14: 1
      15: 2q+1
      16: 2q+1
      18: 2q+1
      20: q+1
      21: 1
      22: q+1
      23: 1
      24: 2q+1
      25: 2q+1
      26: 1
      27: 1
      28: 1
      29: q+1
      32: q+1
      33: q+1
      34: 1
      35: 1
      36: 2q+1
      37: 2q+1
      38: q+1
      39: 1
      40: q+1
      41: 1
      42: q+1
      43: q+1
      44: q+1
      45: q+1
      46: q+1
      47: q+1
      48: 1
      49: 2q+1
      50: 1
      51: q+1
      52: 1
      53: 1
      54: q+1
      55: 1
      56: q+1
      57: 1
      58: 1
      59: 1
      60: q+1
      63: 1
      64: 1
      65: 1
      66: q+1
      69: q+1
      70: 1
      71: q+1
      72: 1
      73: q+1
      74: q+1
      75: q+1
      76: 1
      78: 1
      79: q+1
      80: 1
      81: q+1
      82: 1
      83: q+1
      84: q+1
      87: 1
      88: 1
      89: 1
      90: 1
      91: 1
      92: q+1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: q+1
     100: 1
     101: 1
     102: q+1
     104: 1
     106: 1
     108: 1
     109: 1
     110: 1
     112: q+1
     114: q+1
     115: 1
     117: 1
     120: 1
     122: 1
     124: q+1
     125: 1
     126: q+1
     127: 1
     128: q+1
     129: q+1
     130: 1
     132: 1
     136: 1
     137: 1
     138: 1
     139: 1
     143: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: q+1
     152: 1
     154: 1
     156: 1
     157: q+1
     158: 1
     159: 1
     167: 1
     169: 1
     172: 1
     174: 1
     175: 1
     176: 1
     179: 1
     181: 1
     183: 1
     185: 1
     187: 1
     193: 1
     198: 1
     203: 1
     204: 1
     207: 1
     209: 1
     217: 1
     218: 1
     222: 1
     234: 1
     238: 1
     240: 1
     244: 1
     250: 1
     287: 1
     298: 1
     304: 1
     365: 1

366:   1: 1
       5: 1
       6: 1
       7: 1
      10: 1
      11: 1
      12: 1
      13: 1
      14: 1
      15: 1
      16: 1
      18: 1
      19: q+1
      20: 1
      21: 1
      22: 1
      23: 1
      24: 1
      25: 1
      31: 1
      34: 1
      35: 1
      36: 1
      37: 1
      39: 1
      41: 1
      42: 1
      43: 1
      45: 1
      47: 1
      48: 1
      49: 1
      50: 1
      51: 1
      54: 1
      62: 1
      68: 1
      70: 1
      72: 1
      73: 1
      74: 1
      76: 1
      78: 1
      80: 1
      82: 1
      83: 1
      84: 1
      91: 1
      92: 1
      94: 1
      98: 1
      99: 1
     104: 1
     106: 1
     113: 1
     115: 1
     117: 1
     123: 1
     125: 1
     127: 1
     128: 1
     129: 1
     130: 1
     139: 1
     152: 1
     154: 1
     156: 1
     157: 1
     170: 1
     172: 1
     174: 1
     175: 1
     176: 1
     182: 1
     185: 1
     203: 1
     204: 1
     207: 1
     209: 1
     235: 1
     241: 1
     244: 1
     299: 1
     305: 1
     366: 1

367:   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+1
      11: q^2+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: 1
      21: 1
      22: 1
      23: 1
      24: 1
      25: 1
      26: 1
      27: q+1
      28: 1
      29: q+1
      30: q+1
      31: q+1
      32: 1
      33: 1
      34: q+1
      35: q+1
      36: q+1
      37: q+1
      38: 1
      39: 1
      40: 1
      41: q+1
      42: 1
      43: q+1
      44: 1
      45: 1
      46: 1
      47: q^2+q+1
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: 1
      63: 1
      64: 1
      65: q+1
      66: q+1
      67: q+1
      68: q+1
      69: 1
      70: 1
      71: 1
      72: q+1
      73: 1
      74: q+1
      75: 1
      76: 1
      78: q+1
      79: 1
      80: 1
      81: 1
      82: q+1
      83: 1
      84: q+1
      85: 1
      86: 1
      87: 1
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     106: q+1
     108: 1
     109: 1
     110: 1
     111: 1
     112: 1
     113: 1
     114: 1
     115: 1
     117: q+1
     118: 1
     119: 1
     120: 1
     121: q+1
     122: 1
     123: q+1
     124: 1
     125: 1
     126: 1
     127: q+1
     128: 1
     129: q+1
     130: 1
     132: 1
     134: 1
     135: 1
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     152: 1
     154: q+1
     156: 1
     157: 1
     158: 1
     159: 1
     161: 1
     162: 1
     164: q+1
     172: 1
     174: 1
     175: 1
     176: 1
     177: 1
     178: 1
     179: 1
     180: q+1
     181: 1
     182: q+1
     183: 1
     185: 1
     187: 1
     189: 1
     190: 1
     191: 1
     192: 1
     193: 1
     203: 1
     204: 1
     207: 1
     209: 1
     211: 1
     213: 1
     215: q+1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     231: 1
     233: 1
     234: 1
     235: 1
     244: 1
     246: 1
     248: 1
     250: 1
     258: 1
     266: 1
     267: 1
     270: 1
     272: 1
     282: 1
     283: 1
     295: 1
     297: 1
     298: 1
     299: 1
     310: 1
     316: 1
     325: 1
     326: 1
     329: 1
     331: 1
     367: 1

368:   6: q^3+q^2
      10: q^2
      12: q^3+q^2
      13: q^3+q^2
      14: q^2
      15: q^2
      16: q^3+q^2
      17: q^3+q^2
      18: q^2
      19: q^3+q^2
      21: q^2
      23: q^2
      24: q^2
      25: q^2
      30: q^2
      31: q^2
      34: q^3+q^2
      35: q^2
      36: q^3+q^2
      37: q^2
      48: q^2
      49: q^2
      61: q^2
      62: q^2
      67: q^2
      68: q^2
      76: q
      78: q
      94: q
     105: q
     107: q
     111: q^2
     113: q^2
     115: q
     117: q
     131: q
     139: q
     153: q
     155: q
     161: 1
     162: 1
     164: q+1
     186: q
     189: 1
     190: 1
     212: 1
     214: 1
     216: q+1
     247: 1
     249: 1
     258: 1
     271: 1
     273: 1
     311: 1
     317: 1
     330: 1
     332: 1
     368: 1

369:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       6: q+1
       7: q+1
       8: q+1
       9: q+1
      12: q+1
      13: q+1
      16: q+1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      32: q+1
      33: q+1
      34: q+1
      36: q+1
      38: q+1
      39: q+1
      40: q+1
      42: q+1
      44: 1
      45: 1
      46: 1
      52: q+1
      53: q+1
      55: 1
      56: 1
      63: q+1
      64: q+1
      65: q+1
      66: q+1
      69: q+1
      70: q+1
      71: q+1
      73: q+1
      75: 1
      76: 1
      77: 1
      79: 1
      80: 1
      81: 1
      83: 1
      87: q+1
      88: q+1
      93: 1
      95: 1
      97: 1
     100: 1
     101: 1
     102: 1
     104: 1
     114: 1
     115: 1
     116: 1
     118: q+1
     119: q+1
     120: q+1
     122: q+1
     124: 1
     125: 1
     126: 1
     128: 1
     132: 1
     138: 1
     142: q+1
     143: q+1
     144: 1
     145: 1
     148: 1
     149: 1
     150: 1
     152: 1
     161: 1
     162: 1
     163: 1
     171: 1
     172: 1
     173: 1
     175: 1
     177: 1
     178: 1
     179: 1
     181: 1
     183: 1
     190: 1
     194: 1
     199: 1
     201: 1
     202: 1
     205: 1
     207: 1
     211: 1
     213: 1
     221: 1
     222: 1
     230: 1
     231: 1
     232: 1
     234: 1
     242: 1
     248: 1
     262: 1
     268: 1
     270: 1
     274: 1
     275: 1
     294: 1
     295: 1
     296: 1
     298: 1
     306: 1
     327: 1
     329: 1
     335: 1
     336: 1
     369: 1

370:   1: q^2
       6: q^2
       7: q^2
      12: q^2
      13: q^2
      16: q^2
      34: q^2
      36: q^2
      39: q^2
      42: q^2
      45: q^2
      70: q^2
      73: q^2
      76: q^2
     115: q^2
     161: 1
     162: 1
     163: 1
     190: 1
     194: 1
     212: 1
     214: 1
     249: 1
     262: 1
     269: 1
     271: 1
     307: 1
     328: 1
     330: 1
     370: 1

371:   0: 3q+1
       1: 3q+1
       2: q^2+2q+1
       3: 3q+1
       4: 3q+1
       5: q^2+2q+1
       6: 3q+1
       7: 3q+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: 3q+1
      14: q+1
      15: q^2+2q+1
      16: q^2+2q+1
      17: q+1
      18: q+1
      19: q+1
      20: 2q+1
      21: 2q+1
      22: 2q+1
      23: q+1
      24: 2q+1
      25: q+1
      26: 3q+1
      27: 3q+1
      28: 3q+1
      29: 3q+1
      30: q+1
      31: q+1
      32: 2q+1
      33: 2q+1
      34: 2q+1
      35: q+1
      36: 2q+1
      37: q+1
      38: 3q+1
      39: 3q+1
      40: 3q+1
      41: q^2+2q+1
      42: 3q+1
      43: q^2+2q+1
      44: 2q+1
      45: 2q+1
      46: q+1
      47: q^2+2q+1
      48: q+1
      49: q+1
      50: 2q+1
      51: 2q+1
      52: 3q+1
      53: 3q+1
      54: 2q+1
      55: 2q+1
      56: q+1
      57: 2q+1
      58: 2q+1
      59: 2q+1
      60: 2q+1
      61: q+1
      62: q+1
      63: 2q+1
      64: 2q+1
      65: 2q+1
      66: 2q+1
      67: q+1
      68: q+1
      69: 2q+1
      70: 2q+1
      71: 2q+1
      72: q+1
      73: 2q+1
      74: q+1
      75: 2q+1
      76: 2q+1
      77: q+1
      78: q^2+2q+1
      79: q+1
      80: q+1
      81: q+1
      82: q+1
      83: q+1
      84: q+1
      85: q+1
      86: q+1
      87: q+1
      88: q+1
      89: 2q+1
      90: 2q+1
      91: q+1
      92: q+1
      93: q+1
      94: 2q+1
      95: 2q+1
      96: 2q+1
      97: q+1
      98: q+1
      99: q+1
     100: q+1
     101: q+1
     102: q+1
     104: q+1
     106: q+1
     108: q+1
     109: q+1
     110: 1
     111: 1
     112: 1
     113: 1
     114: 1
     115: q+1
     116: 1
     117: q+1
     118: 2q+1
     119: 2q+1
     120: 2q+1
     121: q+1
     122: 2q+1
     123: q+1
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: q+1
     132: q+1
     134: 1
     135: 1
     136: 1
     137: 1
     138: 1
     139: q+1
     140: q+1
     141: q+1
     142: q+1
     143: q+1
     144: 1
     145: q+1
     146: 2q+1
     147: q+1
     148: 1
     149: 1
     150: 1
     152: 1
     154: 1
     156: 1
     157: 1
     158: q+1
     159: q+1
     161: 1
     162: q+1
     163: 1
     164: q+1
     165: q+1
     166: 1
     167: q+1
     168: 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
     185: 1
     187: q+1
     189: q+1
     190: 1
     191: 1
     192: 1
     193: 1
     194: 1
     195: 1
     196: 1
     197: 1
     198: 1
     199: 1
     200: q+1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     207: 1
     209: 1
     211: 1
     213: 1
     215: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     230: 1
     231: 1
     232: 1
     233: 1
     234: 1
     235: 1
     242: 1
     244: 1
     246: 1
     248: 1
     250: 1
     258: 1
     260: 1
     261: 1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     267: 1
     268: 1
     270: 1
     272: 1
     274: 1
     275: 1
     282: 1
     283: 1
     306: 1
     308: 1
     310: 1
     316: 1
     333: 1
     337: 1
     338: 1
     371: 1

372:   0: q^2+q
       1: q^2+q
       3: q^2+q
       4: q^2+q
       5: q
       6: q^2+q
       7: q^2+q
       9: q^2+q
      10: q
      11: q
      12: q^3+2q^2+q
      13: q^2+q
      14: q^2+q
      15: q
      16: q^3+2q^2+q
      17: q^2+q
      18: q^2+q
      19: q^2+q
      20: q
      21: q
      22: q
      23: q^2+q
      24: q
      25: q^2+q
      26: q^2+q
      27: q^2+q
      28: q^2+q
      29: q^2+q
      30: q^2+q
      31: q^2+q
      34: q^2+q
      35: q
      36: q^2+q
      37: q
      38: q^2+q
      39: q^2+q
      40: q^2+q
      41: q
      42: q^2+q
      43: q
      44: q
      45: q
      47: q
      48: q
      49: q
      50: q
      51: q
      52: q^2+q
      53: q^2+q
      54: q
      55: q
      57: q
      58: q
      59: q
      60: q
      61: q^2+q
      62: q^2+q
      65: q^2+q
      66: q^2+q
      67: q
      68: q
      70: q^2+q
      72: q
      73: q^2+q
      74: q
      75: q
      76: q
      78: q
      85: q
      86: q
      89: q
      90: q
      91: q
      92: q
      94: q
      95: q
      96: q
     110: q
     111: q
     112: q
     113: q
     114: 1
     115: q+1
     116: 1
     117: q+1
     119: q^2+q
     121: q
     122: q^2+q
     123: q
     134: q
     135: q
     138: 1
     139: q+1
     140: q
     141: q
     144: 1
     146: q
     151: 1
     153: 1
     155: 1
     161: 1
     162: q+1
     163: 1
     164: q+1
     166: q
     168: q
     169: q
     170: q
     184: 1
     186: 1
     189: q+1
     190: 1
     193: 1
     194: 1
     195: q
     196: q
     199: 1
     206: 1
     208: 1
     210: 1
     212: 1
     214: 1
     216: 1
     243: 1
     245: 1
     247: 1
     249: 1
     251: 1
     258: 1
     262: 1
     263: 1
     269: 1
     271: 1
     273: 1
     307: 1
     309: 1
     311: 1
     317: 1
     333: 1
     372: 1

373:   0: 3q^2+4q+1
       1: 3q+1
       2: q^3+3q^2+3q+1
       3: 3q^2+4q+1
       4: 3q^2+4q+1
       5: 3q+1
       6: 3q+1
       7: 3q+1
       8: q^3+3q^2+3q+1
       9: 3q^2+4q+1
      10: 3q+1
      11: 3q+1
      12: q^2+2q+1
      13: 3q+1
      14: q^2+2q+1
      15: 3q+1
      16: q^2+2q+1
      18: q^2+2q+1
      20: 3q+1
      21: 3q+1
      22: 3q+1
      23: q^2+2q+1
      24: 3q+1
      25: q^2+2q+1
      26: 3q+1
      27: 3q+1
      28: 3q+1
      29: 3q+1
      32: 2q^2+3q+1
      33: 2q^2+3q+1
      34: 2q+1
      35: 2q+1
      36: 2q+1
      37: 2q+1
      38: 3q^2+4q+1
      39: 3q+1
      40: 3q^2+4q+1
      41: 3q+1
      42: 3q+1
      43: 3q+1
      44: 2q^2+3q+1
      45: 2q+1
      46: q^2+2q+1
      47: 2q+1
      48: 2q+1
      49: 2q+1
      50: 3q+1
      51: 3q+1
      52: 3q+1
      53: 3q+1
      54: 2q+1
      55: 2q+1
      56: q^2+2q+1
      57: 3q+1
      58: 3q+1
      59: 3q+1
      60: 3q+1
      63: 2q+1
      64: 2q+1
      65: 2q+1
      66: 2q+1
      69: 2q^2+3q+1
      70: 2q+1
      71: 2q^2+3q+1
      72: 2q+1
      73: 2q+1
      74: 2q+1
      75: 2q^2+3q+1
      76: 2q+1
      77: q^2+2q+1
      78: 2q+1
      79: q^2+2q+1
      80: q+1
      81: q^2+2q+1
      82: q+1
      83: q+1
      84: q+1
      87: q+1
      88: q+1
      89: 3q+1
      90: 3q+1
      91: 2q+1
      92: 2q+1
      93: q^2+2q+1
      94: 2q+1
      95: 2q+1
      96: 2q+1
      97: q+1
      98: q+1
      99: q+1
     100: q+1
     101: q+1
     102: q^2+2q+1
     104: q+1
     106: q+1
     108: 2q+1
     109: 2q+1
     110: 2q+1
     112: 2q+1
     114: q+1
     115: q+1
     116: q+1
     117: q+1
     118: 2q+1
     119: 2q+1
     120: 2q+1
     122: 2q+1
     124: q+1
     125: 1
     126: q+1
     127: 1
     128: 1
     129: 1
     130: q+1
     132: q+1
     136: q+1
     137: q+1
     138: 1
     139: q+1
     142: q+1
     143: q+1
     144: q+1
     145: q+1
     146: 2q+1
     147: q+1
     148: 1
     149: 1
     150: q+1
     152: 1
     154: 1
     156: 1
     157: 1
     158: q+1
     159: q+1
     161: 1
     162: q+1
     163: 1
     165: 2q+1
     166: 2q+1
     167: 2q+1
     169: 2q+1
     171: q+1
     172: 1
     173: q+1
     174: 1
     175: 1
     176: 1
     177: 1
     178: 1
     179: 1
     181: 1
     183: 1
     185: 1
     187: q+1
     190: 1
     193: 1
     194: 1
     197: q+1
     198: q+1
     199: 1
     200: q+1
     201: 1
     202: 1
     203: 1
     204: 1
     205: q+1
     207: 1
     209: 1
     211: 1
     213: 1
     217: 1
     218: 1
     221: 1
     222: 1
     226: 1
     227: q+1
     228: 1
     230: 1
     231: 1
     232: 1
     234: 1
     236: 1
     237: 1
     238: 1
     240: 1
     242: 1
     244: 1
     248: 1
     250: 1
     257: 1
     259: 1
     262: 1
     263: 1
     264: 1
     265: 1
     268: 1
     270: 1
     274: 1
     275: 1
     276: 1
     278: 1
     286: 1
     287: 1
     300: 1
     301: 1
     302: 1
     304: 1
     306: 1
     308: 1
     314: 1
     334: 1
     339: 1
     341: 1
     347: 1
     348: 1
     373: 1

374:   0: q^2+q
       1: q
       3: q^2+q
       4: q^2+q
       5: q
       6: q
       7: q
       9: q^2+q
      10: q
      11: q
      12: q^2+q
      13: q
      14: q^2+q
      15: q
      16: q^2+q
      18: q^2+q
      20: q
      21: q
      22: q
      23: q^2+q
      24: q
      25: q^2+q
      26: q
      27: q
      28: q
      29: q
      34: q
      35: q
      36: q
      37: q
      38: q^2+q
      39: q
      40: q^2+q
      41: q
      42: q
      43: q
      44: q^2+q
      45: q
      47: q
      48: q
      49: q
      50: q
      51: q
      52: q
      53: q
      54: q
      55: q
      57: q
      58: q
      59: q
      60: q
      65: q
      66: q
      70: q
      72: q
      73: q
      74: q
      75: q^2+q
      76: q
      78: q
      89: q
      90: q
      91: q
      92: q
      94: q
      95: q
      96: q
     110: q
     112: q
     114: q+1
     115: q+1
     116: q+1
     117: q+1
     119: q
     122: q
     138: 1
     139: q+1
     144: q+1
     146: q
     151: q+1
     153: 1
     155: 1
     161: 1
     162: q+1
     163: 1
     166: q
     169: q
     184: 1
     186: 1
     190: 1
     193: 1
     194: 1
     199: 1
     206: q+1
     208: 1
     210: 1
     212: 1
     214: 1
     226: 1
     227: q+1
     228: 1
     243: 1
     245: 1
     249: 1
     251: 1
     257: 1
     259: 1
     262: 1
     263: 1
     269: 1
     271: 1
     277: 1
     279: 1
     307: 1
     309: 1
     315: 1
     334: 1
     340: 1
     342: 1
     374: 1

375:   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
      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
      34: 1
      35: 1
      36: 1
      37: 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
      47: q+1
      48: 1
      49: 1
      50: q+1
      51: q+1
      52: q+1
      53: q+1
      54: q+1
      55: q+1
      57: q+1
      58: q+1
      59: q+1
      60: q+1
      61: q+1
      62: q+1
      65: 1
      66: 1
      67: 1
      68: 1
      70: 1
      72: 1
      73: 1
      74: 1
      75: q+1
      76: q+1
      78: q+1
      79: q+1
      80: q+1
      81: q+1
      82: q+1
      83: q+1
      84: q+1
      85: 1
      86: 1
      89: q+1
      90: q+1
      91: 1
      92: 1
      94: q+1
      95: q+1
      96: q+1
      98: q+1
      99: q+1
     100: q+1
     101: q+1
     102: q+1
     104: q+1
     106: q+1
     110: 1
     111: 1
     112: 1
     113: 1
     115: 1
     117: 1
     119: 1
     121: 1
     122: 1
     123: 1
     125: 1
     127: 1
     128: 1
     129: 1
     130: q+1
     132: q+1
     134: 1
     135: 1
     139: 1
     140: 1
     141: 1
     146: q+1
     152: 1
     154: 1
     156: 1
     157: 1
     158: q+1
     159: q+1
     162: 1
     164: 1
     166: 1
     168: 1
     169: 1
     170: 1
     172: 1
     174: 1
     175: 1
     176: 1
     178: 1
     180: 1
     181: 1
     182: 1
     185: 1
     187: q+1
     189: 1
     195: 1
     196: 1
     203: 1
     204: 1
     207: 1
     209: 1
     213: 1
     215: 1
     219: 1
     220: 1
     227: 1
     229: 1
     231: 1
     233: 1
     234: 1
     235: 1
     237: 1
     239: 1
     240: 1
     241: 1
     244: 1
     246: 1
     256: 1
     266: 1
     267: 1
     270: 1
     272: 1
     278: 1
     280: 1
     284: 1
     285: 1
     301: 1
     303: 1
     304: 1
     305: 1
     310: 1
     312: 1
     341: 1
     343: 1
     345: 1
     346: 1
     375: 1

376:  12: q^2
      14: q^2
      16: q^2
      17: q^2
      18: q^2
      19: q^2
      23: q^2
      25: q^2
      30: q^2
      31: q^2
      61: q^2
      62: q^2
     115: 1
     117: 1
     139: 1
     153: 1
     155: 1
     162: 1
     164: 1
     186: 1
     189: 1
     208: 1
     210: 1
     214: 1
     216: 1
     227: 1
     229: 1
     245: 1
     247: 1
     256: 1
     271: 1
     273: 1
     279: 1
     281: 1
     311: 1
     313: 1
     342: 1
     344: 1
     376: 1

377:   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: q+1
      36: q+1
      37: q+1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: q+1
      45: q+1
      46: q+1
      47: q+1
      48: q+1
      49: q+1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 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: q+1
      65: q+1
      66: q+1
      67: q+1
      68: q+1
      69: 1
      70: 1
      71: 1
      72: 1
      73: 1
      74: 1
      75: 1
      76: 1
      78: 1
      79: 1
      80: 1
      81: 1
      82: 1
      83: 1
      84: 1
      85: q+1
      86: q+1
      87: 1
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      94: 1
      95: 1
      96: q+1
      97: q+1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     106: 1
     108: q+1
     109: q+1
     110: q+1
     111: q+1
     112: q+1
     113: q+1
     114: 1
     115: 1
     117: 1
     118: 1
     119: 1
     120: 1
     121: 1
     122: 1
     123: 1
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     132: 1
     134: q+1
     135: q+1
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: 1
     146: 1
     147: q+1
     148: 1
     149: 1
     150: 1
     152: 1
     154: 1
     156: 1
     157: 1
     158: 1
     159: 1
     161: 1
     162: 1
     164: 1
     165: 1
     166: 1
     167: 1
     168: 1
     169: 1
     170: 1
     177: 1
     178: 1
     179: 1
     180: 1
     181: 1
     182: 1
     183: 1
     185: 1
     187: 1
     189: 1
     190: 1
     191: 1
     192: 1
     193: 1
     195: 1
     196: 1
     197: 1
     198: 1
     211: 1
     213: 1
     215: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     226: 1
     227: 1
     229: 1
     236: 1
     237: 1
     238: 1
     239: 1
     240: 1
     241: 1
     246: 1
     248: 1
     250: 1
     256: 1
     257: 1
     258: 1
     260: 1
     261: 1
     276: 1
     278: 1
     280: 1
     282: 1
     283: 1
     284: 1
     285: 1
     286: 1
     287: 1
     312: 1
     314: 1
     316: 1
     324: 1
     351: 1
     352: 1
     377: 1

378:   3: q
       6: q
       9: q
      10: q
      12: q
      13: q
      14: q
      15: q
      16: q
      17: q
      18: q
      19: q
      21: q
      23: q
      24: q
      25: q
      27: q
      29: q
      30: q
      31: q
      34: q
      35: q
      36: q
      37: q
      48: q
      49: q
      58: q
      60: q
      61: q
      62: q
      65: q
      66: q
      67: q
      68: q
      75: 1
      76: 1
      78: 1
      85: q
      86: q
      94: 1
      95: 1
     103: 1
     105: 1
     107: 1
     110: q
     111: q
     112: q
     113: q
     114: 1
     115: 1
     117: 1
     131: 1
     133: 1
     134: q
     135: q
     138: 1
     139: 1
     146: 1
     151: 1
     153: 1
     155: 1
     161: 1
     162: 1
     164: 1
     184: 1
     186: 1
     188: 1
     189: 1
     190: 1
     193: 1
     212: 1
     214: 1
     216: 1
     226: 1
     227: 1
     229: 1
     247: 1
     249: 1
     251: 1
     256: 1
     257: 1
     258: 1
     277: 1
     279: 1
     281: 1
     313: 1
     315: 1
     317: 1
     324: 1
     378: 1

379:   0: q+1
       1: q+1
       2: q+1
       3: 1
       4: q+1
       6: 1
       7: q+1
       8: q+1
       9: 1
      12: 1
      13: 1
      16: 1
      26: q+1
      27: 1
      28: q+1
      29: 1
      32: q+1
      33: q+1
      34: 1
      36: 1
      38: 1
      39: 1
      40: 1
      42: 1
      44: q+1
      45: q+1
      46: q+1
      52: 1
      53: 1
      55: q+1
      56: q+1
      63: q+1
      64: q+1
      65: 1
      66: 1
      69: 1
      70: 1
      71: 1
      73: 1
      75: 1
      76: 1
      77: q+1
      79: 1
      80: 1
      81: 1
      83: 1
      87: 1
      88: 1
      93: 1
      95: 1
      97: q+1
     100: 1
     101: 1
     102: 1
     104: 1
     114: 1
     115: 1
     116: q+1
     118: 1
     119: 1
     120: 1
     122: 1
     124: 1
     125: 1
     126: 1
     128: 1
     132: 1
     138: 1
     142: 1
     143: 1
     144: 1
     145: 1
     148: 1
     149: 1
     150: 1
     152: 1
     160: 1
     161: 1
     162: 1
     163: q+1
     171: 1
     173: 1
     177: 1
     178: 1
     179: 1
     181: 1
     183: 1
     190: 1
     194: 1
     199: 1
     205: 1
     211: 1
     213: 1
     221: 1
     222: 1
     223: 1
     224: 1
     225: 1
     230: 1
     232: 1
     248: 1
     252: 1
     262: 1
     268: 1
     288: 1
     289: 1
     293: 1
     294: 1
     296: 1
     320: 1
     327: 1
     350: 1
     353: 1
     379: 1

380:   0: q^2+2q
       1: q^2+2q
       2: q^2+2q
       3: q
       4: q^2+2q
       6: q
       7: q^2+2q
       8: q^2+2q
       9: q
      12: q
      13: q
      16: q
      26: q^2+2q
      27: q
      28: q^2+2q
      29: q
      32: q^2+2q
      33: q^2+2q
      34: q
      36: q
      38: q
      39: q
      40: q
      42: q
      44: q^2+2q
      45: q^2+2q
      46: q^2+2q
      52: q
      53: q
      55: q^2+2q
      56: q^2+2q
      63: q^2+2q
      64: q^2+2q
      65: q
      66: q
      69: q
      70: q
      71: q
      73: q
      77: q
      79: q
      80: q
      81: q
      83: q
      87: q
      88: q
      97: q^2+2q
     100: q
     101: q
     116: q
     118: q
     119: q
     120: q
     122: q
     124: q
     125: q
     126: q
     128: q
     142: q
     143: q
     148: q
     149: q
     163: q
     171: 1
     173: 1
     177: q
     178: q
     179: q
     181: q
     205: 1
     221: q
     222: q
     225: 1
     230: 1
     232: 1
     253: 1
     268: 1
     293: 1
     294: 1
     296: 1
     321: 1
     327: 1
     350: 1
     380: 1

381:   0: q
       1: q^2+q
       2: q
       3: q^2+q
       4: q
       6: q
       7: q^2+q
       8: q
       9: q^2+q
      12: q
      13: q
      16: q
      26: q
      27: q
      28: q
      29: q
      32: q
      33: q
      34: q
      36: q
      38: q
      39: q
      40: q
      42: q
      44: q
      45: q^2+q
      46: q
      52: q
      53: q
      55: q
      56: q
      63: q
      64: q
      65: q
      66: q
      69: q
      70: q
      71: q
      73: q
      75: 2q
      76: q
      77: q
      79: q
      80: q
      81: q
      83: q
      87: q
      88: q
      93: q
      95: q
      97: q
     100: q
     101: q
     102: q
     103: q
     104: q
     114: 2q
     115: q
     116: q
     124: q
     125: q
     126: q
     128: q
     132: q
     138: q
     144: q
     148: q
     149: q
     150: q
     151: q
     152: q
     160: q
     161: 1
     162: 1
     163: q+1
     183: q
     190: 1
     194: 1
     212: 1
     214: 1
     224: q
     249: 1
     262: 1
     269: 1
     289: 1
     322: 1
     328: 1
     353: 1
     381: 1

382:   1: q^3
       7: q^3
      45: q^3
     163: q
     269: 1
     323: 1
     328: 1
     382: 1

383:   0: 3q+1
       1: 3q+1
       2: 2q^2+3q+1
       3: q^2+2q+1
       4: 3q+1
       6: q^2+2q+1
       7: 3q+1
       8: 2q^2+3q+1
       9: q^2+2q+1
      12: q^3+q^2+q+1
      13: q^2+2q+1
      16: q^3+q^2+q+1
      26: 3q+1
      27: q^2+2q+1
      28: 3q+1
      29: q^2+2q+1
      32: 3q+1
      33: 3q+1
      34: q^2+q+1
      36: q^2+q+1
      38: 2q+1
      39: 2q+1
      40: 2q+1
      42: 2q+1
      44: 3q+1
      45: 3q+1
      46: 2q^2+3q+1
      52: 2q+1
      53: 2q+1
      55: 3q+1
      56: 3q+1
      63: 3q+1
      64: 3q+1
      65: q^2+q+1
      66: q^2+q+1
      69: 2q+1
      70: q+1
      71: 2q+1
      73: q+1
      75: 2q+1
      76: 2q+1
      77: q^2+2q+1
      79: 2q+1
      80: 2q+1
      81: 2q+1
      83: 2q+1
      87: q+1
      88: q+1
      93: q+1
      95: 2q+1
      97: 3q+1
     100: 2q+1
     101: 2q+1
     102: q+1
     103: q
     104: q+1
     105: q
     114: 1
     115: q+1
     116: q+1
     118: 2q+1
     119: q+1
     120: 2q+1
     122: q+1
     124: 2q+1
     125: q+1
     126: 2q+1
     128: q+1
     132: q+1
     133: q
     138: 1
     142: q+1
     143: q+1
     144: 1
     145: q+1
     148: q+1
     149: q+1
     150: 1
     152: 1
     153: q
     160: q+1
     161: 1
     162: q+1
     163: q+1
     171: 2
     172: 1
     173: 2
     175: 1
     177: 2q+1
     178: q+1
     179: 2q+1
     181: q+1
     183: 1
     190: 1
     194: 1
     199: 1
     201: 1
     202: 1
     205: 2
     207: 1
     211: 1
     213: 1
     214: q
     221: q+1
     222: q+1
     223: q+1
     224: 1
     225: 2
     230: 2
     231: 1
     232: 2
     234: 1
     242: 1
     248: 1
     252: 1
     253: 1
     262: 1
     268: 2
     270: 1
     274: 1
     275: 1
     288: 1
     289: 1
     291: 1
     292: 1
     293: 2
     306: 1
     318: 1
     320: 1
     321: 1
     353: 1
     359: 1
     360: 1
     383: 1

384:   0: q^2+q
       1: q^2+q
       3: q
       4: q^2+q
       6: q
       7: q^2+q
       9: q
      12: q^2+q
      13: q
      16: q^2+q
      26: q^2+q
      27: q
      28: q^2+q
      29: q
      34: q
      36: q
      38: q
      39: q
      40: q
      42: q
      44: q^2+q
      45: q^2+q
      52: q
      53: q
      55: q^2+q
      65: q
      66: q
      70: q
      73: q
      75: q
      76: q
      79: q
      80: q
      81: q
      83: q
      95: q
     100: q
     101: q
     102: q
     104: q
     114: 1
     115: q+1
     116: q+1
     119: q
     122: q
     125: q
     128: q
     132: q
     138: 1
     144: 1
     151: 1
     152: q
     153: 1
     161: 1
     162: q+1
     163: q+1
     178: q
     181: q
     184: 1
     190: 1
     194: 1
     199: 1
     206: 2
     208: 1
     212: 1
     213: q
     214: 1
     224: 1
     243: 1
     249: 1
     254: 1
     255: 1
     262: 1
     269: 2
     271: 1
     288: 1
     289: 1
     307: 1
     319: 1
     322: 1
     323: 1
     353: 1
     384: 1

385:   0: 2q+1
       1: 1
       2: 2q+1
       3: q+1
       4: 2q+1
       5: 1
       6: q^2+1
       7: 1
       8: 2q+1
       9: q+1
      10: q^2+1
      11: 1
      12: q^2+1
      13: q^2+1
      14: q^2+1
      15: q^2+1
      16: q^2+1
      18: q^2+1
      20: 1
      21: q^2+1
      22: 1
      23: q^2+1
      24: q^2+1
      25: q^2+1
      26: 1
      27: 1
      28: 1
      29: 1
      32: 2q+1
      33: 2q+1
      34: q^2+1
      35: q^2+1
      36: q^2+1
      37: q^2+1
      38: q+1
      39: 1
      40: q+1
      41: 1
      42: 1
      43: 1
      44: 2q+1
      45: 1
      46: 2q+1
      47: 1
      48: q^2+1
      49: q^2+1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 2q+1
      57: 1
      58: 1
      59: 1
      60: 1
      63: 1
      64: 1
      65: 1
      66: 1
      69: q+1
      70: 1
      71: q+1
      72: 1
      73: 1
      74: 1
      75: 1
      76: q+1
      77: q+1
      78: q+1
      79: q+1
      80: 1
      81: q+1
      82: 1
      83: 1
      84: 1
      87: 1
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 1
      94: q+1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     105: q
     106: 1
     107: q
     108: 1
     109: 1
     110: 1
     112: 1
     114: 1
     115: q+1
     116: q+1
     117: q+1
     118: 1
     119: 1
     120: 1
     122: 1
     124: q+1
     125: 1
     126: q+1
     127: 1
     128: 1
     129: 1
     130: 1
     131: q
     132: 1
     136: 1
     137: 1
     138: 1
     139: q+1
     142: 1
     143: 1
     144: 1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     152: 1
     153: q
     154: 1
     155: q
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     165: 1
     166: 1
     167: 1
     169: 1
     171: 2
     172: 1
     173: 2
     174: 1
     175: 1
     176: 1
     177: 1
     178: 1
     179: 1
     181: 1
     183: 1
     185: 1
     186: q
     187: 1
     193: 1
     197: 1
     198: 1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 2
     207: 1
     209: 1
     217: 1
     218: 1
     221: 1
     222: 1
     223: 1
     224: 1
     225: 2
     236: 1
     237: 1
     238: 1
     240: 1
     242: 1
     244: 1
     250: 1
     252: 1
     253: 1
     263: 1
     264: 1
     265: 1
     286: 1
     287: 1
     288: 1
     290: 1
     291: 1
     292: 1
     308: 1
     318: 1
     354: 1
     356: 1
     357: 1
     385: 1

386:   0: 3q^2+q
       1: q^2+q
       3: q^2+q
       4: 3q^2+q
       5: q^2+q
       6: q
       7: q^2+q
       9: q^2+q
      10: q
      11: q^2+q
      12: q^2+q
      13: q
      14: q^2+q
      15: q
      16: q^2+q
      18: q^2+q
      20: q^2+q
      21: q
      22: q^2+q
      23: q^2+q
      24: q
      25: q^2+q
      26: q^2+q
      27: q
      28: q^2+q
      29: q
      34: q
      35: q
      36: q
      37: q
      38: q^2+q
      39: q
      40: q^2+q
      41: q
      42: q
      43: q
      44: 3q^2+q
      45: q^2+q
      47: q^2+q
      48: q
      49: q
      50: q
      51: q
      52: q
      53: q
      54: q^2+q
      55: q^2+q
      57: q^2+q
      58: q
      59: q^2+q
      60: q
      65: q
      66: q
      70: q
      72: q
      73: q
      74: q
      75: q
      76: q
      78: q
      79: q^2+q
      80: q
      81: q^2+q
      82: q
      83: q
      84: q
      89: q
      90: q
      91: q
      92: q
      94: q
      95: q
      96: q^2+q
      98: q
      99: q
     100: q
     101: q
     102: q
     104: q
     106: q
     110: q
     112: q
     114: 1
     115: q+1
     116: q+1
     117: q+1
     119: q
     122: q
     125: q
     127: q
     128: q
     129: q
     130: q
     132: q
     138: 1
     139: q+1
     144: 1
     146: q
     151: 1
     152: q
     153: 1
     154: q
     155: 1
     156: q
     157: q
     158: q
     159: q
     166: q
     169: q
     178: q
     181: q
     184: 1
     185: q
     186: 1
     187: q
     193: 1
     199: 1
     206: 2
     208: 1
     210: 1
     224: 1
     237: q
     240: q
     243: 1
     245: 1
     251: 1
     254: 1
     255: 1
     263: 1
     288: 1
     309: 1
     319: 1
     354: 1
     386: 1

387:   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
      11: 1
      13: 1
      15: 1
      20: 1
      21: 1
      22: 1
      24: 1
      26: 1
      27: 1
      28: 1
      29: 1
      32: 1
      33: 1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: q^2+q+1
      47: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      63: 1
      64: 1
      69: 1
      71: 1
      75: 1
      76: 1
      77: q^2+q+1
      78: 1
      79: 1
      80: 1
      81: 1
      82: 1
      83: 1
      84: 1
      89: 1
      90: 1
      93: 1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     106: 1
     108: 1
     109: 1
     114: 1
     116: 1
     118: 1
     120: 1
     124: 1
     126: 1
     130: 1
     132: 1
     144: 1
     145: 1
     146: 1
     147: 1
     150: 1
     158: 1
     159: 1
     160: 1
     161: 1
     163: 1
     165: 1
     167: 1
     171: 1
     173: 1
     177: 1
     179: 1
     187: 1
     194: 1
     200: 1
     205: 1
     211: 1
     223: 1
     224: 1
     225: 1
     226: 1
     228: 1
     230: 1
     232: 1
     236: 1
     238: 1
     252: 1
     259: 1
     268: 1
     276: 1
     289: 1
     290: 1
     293: 1
     300: 1
     302: 1
     320: 1
     339: 1
     355: 1
     358: 1
     387: 1

388:   0: 2q
       1: 2q
       2: q^3+2q^2+2q
       3: q
       4: 2q
       5: 2q
       6: q
       7: 2q
       8: q^3+2q^2+2q
       9: q
      10: q
      11: 2q
      13: q
      15: q
      20: 2q
      21: q
      22: 2q
      24: q
      26: 2q
      27: q
      28: 2q
      29: q
      32: 2q
      33: 2q
      38: q
      39: q
      40: q
      41: q
      42: q
      43: q
      44: 2q
      45: 2q
      46: q^3+2q^2+2q
      47: 2q
      50: q
      51: q
      52: q
      53: q
      54: 2q
      55: 2q
      56: 2q
      57: 2q
      58: q
      59: 2q
      60: q
      63: 2q
      64: 2q
      69: q
      71: q
      77: q^2+q
      79: q
      80: q
      81: q
      82: q
      83: q
      84: q
      89: q
      90: q
      96: 2q
      97: 2q
      98: q
      99: q
     100: q
     101: q
     108: 2q
     109: 2q
     116: q
     118: q
     120: q
     124: q
     126: q
     147: 2q
     158: q
     159: q
     163: q
     165: q
     167: q
     171: 1
     173: 1
     177: q
     179: q
     205: 1
     225: 1
     228: q
     230: 1
     232: 1
     236: q
     238: q
     253: 1
     268: 1
     293: 1
     300: 1
     302: 1
     321: 1
     339: 1
     358: 1
     388: 1

389:   0: q
       1: q
       3: q
       4: q
       5: q
       6: q
       7: q
       9: q
      10: q
      11: q
      13: q
      15: q
      20: q
      21: q
      22: q
      24: q
      26: q
      27: q
      28: q
      29: q
      38: q
      39: q
      40: q
      41: q
      42: q
      43: q
      44: q
      45: q
      47: q
      50: q
      51: q
      52: q
      53: q
      54: q
      55: q
      57: q
      58: q
      59: q
      60: q
      75: q
      76: q
      78: q
      79: q
      80: q
      81: q
      82: q
      83: q
      84: q
      89: q
      90: q
      94: q
      95: q
      96: q
      98: q
      99: q
     100: q
     101: q
     102: q
     104: q
     106: q
     114: 1
     116: 1
     130: q
     132: q
     144: 1
     146: q
     151: 1
     158: q
     159: q
     161: 1
     163: 1
     187: q
     194: 1
     206: 1
     212: 1
     224: 1
     226: 1
     228: 1
     254: 1
     259: 1
     269: 1
     277: 1
     289: 1
     322: 1
     340: 1
     355: 1
     389: 1

390:   0: q^2
       1: q^2
       4: q^2
       5: q^2
       7: q^2
      11: q^2
      20: q^2
      22: q^2
      26: q^2
      28: q^2
      44: q^2
      45: q^2
      47: q^2
      54: q^2
      55: q^2
      57: q^2
      59: q^2
      96: q^2
     116: q
     163: q
     206: 1
     228: q
     255: 1
     269: 1
     323: 1
     340: 1
     390: 1

391:   0: q+1
       1: 1
       2: q^2+q+1
       3: q+1
       4: q+1
       6: 1
       7: 1
       8: q^2+q+1
       9: q+1
      12: q^3+1
      13: 1
      16: q^3+1
      26: 1
      27: 1
      28: 1
      29: 1
      32: q+1
      33: q+1
      34: 1
      36: 1
      38: q+1
      39: 1
      40: q+1
      42: 1
      44: q+1
      45: 1
      46: q^2+q+1
      52: 1
      53: 1
      55: 1
      56: q+1
      63: 1
      64: 1
      65: 1
      66: 1
      69: q+1
      70: 1
      71: q+1
      73: 1
      75: q+1
      76: 1
      77: q^2+q+1
      79: q+1
      80: 1
      81: q+1
      83: 1
      87: 1
      88: 1
      93: q+1
      95: 1
      97: 1
     100: 1
     101: 1
     102: q+1
     104: 1
     114: 1
     115: q+1
     116: 1
     118: 1
     119: 1
     120: 1
     122: 1
     124: q+1
     125: 1
     126: q+1
     128: 1
     132: 1
     138: 1
     142: 1
     143: 1
     144: 1
     145: 1
     148: 1
     149: 1
     150: 1
     152: 1
     153: q
     160: q+1
     171: q+1
     172: 1
     173: q+1
     175: 1
     177: 1
     178: 1
     179: 1
     181: 1
     183: 1
     199: 1
     201: 1
     202: 1
     205: 1
     207: 1
     208: q
     221: 1
     222: 1
     223: 1
     224: 1
     225: q+1
     230: 1
     231: 1
     232: 1
     234: 1
     242: 1
     252: 1
     274: 1
     275: 1
     288: 1
     291: 1
     292: 1
     293: 1
     318: 1
     349: 1
     359: 1
     360: 1
     391: 1

392:   0: q^2+q
       1: q
       3: q^2+q
       4: q^2+q
       6: q
       7: q
       9: q^2+q
      12: q^2+q
      13: q
      16: q^2+q
      26: q
      27: q
      28: q
      29: q
      34: q
      36: q
      38: q^2+q
      39: q
      40: q^2+q
      42: q
      44: q^2+q
      45: q
      52: q
      53: q
      55: q
      65: q
      66: q
      70: q
      73: q
      75: q^2+q
      76: q
      79: q^2+q
      80: q
      81: q^2+q
      83: q
      95: q
     100: q
     101: q
     102: q^2+q
     104: q
     114: 1
     115: q+1
     116: 1
     119: q
     122: q
     125: q
     128: q
     132: q
     138: 1
     144: 1
     151: 1
     152: q
     153: 1
     172: q
     175: q
     178: q
     181: q
     184: 1
     199: 1
     206: 1
     207: q
     208: 1
     224: 1
     231: q
     234: q
     243: 1
     254: 1
     288: 1
     319: 1
     349: 1
     392: 1

393:   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^2+2q+1
      10: q+1
      11: q^2+2q+1
      12: q+1
      13: q+1
      14: q+1
      15: q+1
      16: q+1
      18: q+1
      20: q^2+2q+1
      21: q+1
      22: q^2+2q+1
      23: q+1
      24: q+1
      25: q+1
      26: q^2+2q+1
      27: q+1
      28: q^2+2q+1
      29: q+1
      32: q^3+3q^2+3q+1
      33: q^3+3q^2+3q+1
      34: q+1
      35: q+1
      36: q+1
      37: q+1
      38: q^2+2q+1
      39: q+1
      40: q^2+2q+1
      41: q+1
      42: q+1
      43: q+1
      44: q^2+2q+1
      45: q+1
      46: q^2+2q+1
      47: q+1
      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: q^2+2q+1
      57: q^2+2q+1
      58: q+1
      59: q^2+2q+1
      60: q+1
      63: q^2+2q+1
      64: q^2+2q+1
      65: q+1
      66: q+1
      69: q^2+2q+1
      70: q+1
      71: q^2+2q+1
      72: q+1
      73: q+1
      74: q+1
      75: q+1
      76: 1
      77: q^2+2q+1
      78: 1
      79: q+1
      80: 1
      81: q+1
      82: 1
      83: 1
      84: 1
      87: q+1
      88: q+1
      89: q+1
      90: q+1
      91: q+1
      92: q+1
      93: q+1
      94: 1
      95: 1
      96: q+1
      97: q+1
      98: 1
      99: 1
     100: 1
     101: 1
     102: q+1
     104: 1
     106: 1
     108: q^2+2q+1
     109: q^2+2q+1
     110: q+1
     112: q+1
     114: q+1
     115: 1
     116: q^2+2q+1
     117: 1
     118: q+1
     119: q+1
     120: q+1
     122: q+1
     124: q+1
     125: 1
     126: q+1
     127: 1
     128: 1
     129: 1
     130: 1
     132: 1
     136: q+1
     137: q+1
     138: 1
     139: 1
     142: q+1
     143: q+1
     144: q+1
     145: 1
     146: 1
     147: q+1
     148: 1
     149: 1
     150: q+1
     152: 1
     154: 1
     156: 1
     157: 1
     158: 1
     159: 1
     161: 1
     162: 1
     163: q+1
     165: q+1
     166: q+1
     167: q+1
     169: q+1
     171: q+1
     173: q+1
     177: 1
     178: 1
     179: 1
     181: 1
     183: 1
     185: 1
     187: 1
     190: 1
     193: 1
     194: 1
     197: q+1
     198: q+1
     199: 1
     200: 1
     205: q+1
     211: 1
     213: 1
     217: 1
     218: 1
     221: 1
     222: 1
     226: 1
     227: 1
     228: q+1
     230: 1
     232: 1
     236: 1
     237: 1
     238: 1
     240: 1
     248: 1
     250: 1
     257: 1
     259: 1
     262: 1
     263: 1
     268: 1
     276: 1
     278: 1
     286: 1
     287: 1
     294: 1
     296: 1
     300: 1
     302: 1
     314: 1
     327: 1
     334: 1
     339: 1
     361: 1
     363: 1
     393: 1

394:   0: q
       1: q^2+q
       2: q
       3: q^2+q
       4: q
       5: q^2+q
       6: q
       7: q^2+q
       8: q
       9: q^2+q
      10: q
      11: q^2+q
      12: q
      13: q
      14: q
      15: q
      16: q
      18: q
      20: q^2+q
      21: q
      22: q^2+q
      23: q
      24: q
      25: q
      26: q
      27: q
      28: q
      29: q
      32: q
      33: q
      34: q
      35: q
      36: q
      37: q
      38: q
      39: q
      40: q
      41: q
      42: q
      43: q
      44: q
      45: q^2+q
      46: q
      47: q^2+q
      48: q
      49: q
      50: q
      51: q
      52: q
      53: q
      54: q^2+q
      55: q
      56: q
      57: q
      58: q
      59: q
      60: q
      63: q
      64: q
      65: q
      66: q
      69: q
      70: q
      71: q
      72: q
      73: q
      74: q
      75: 2q
      76: q
      77: q
      78: q
      87: q
      88: q
      89: q
      90: q
      91: q
      92: q
      93: q
      94: q
      95: q
      96: q
      97: q
     103: q
     108: q
     109: q
     110: q
     112: q
     114: 2q
     115: q
     116: q
     117: q
     136: q
     137: q
     138: q
     139: q
     144: q
     146: q
     147: q
     151: q
     161: 1
     162: 1
     163: q+1
     190: 1
     193: q
     194: 1
     212: 1
     214: 1
     226: 1
     227: 1
     228: q+1
     249: 1
     257: 1
     259: 1
     262: 1
     269: 1
     277: 1
     279: 1
     315: 1
     328: 1
     334: 1
     340: 1
     394: 1

395:   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^2+2q+1
      10: q+1
      11: 1
      12: q+1
      13: q+1
      14: q+1
      15: q+1
      16: q+1
      18: q+1
      20: 1
      21: q+1
      22: 1
      23: q+1
      24: q+1
      25: q+1
      26: 1
      27: q+1
      28: 1
      29: q+1
      32: q+1
      33: q+1
      34: q+1
      35: q+1
      36: q+1
      37: q+1
      38: q+1
      39: 1
      40: q+1
      41: 1
      42: 1
      43: 1
      44: q+1
      45: 1
      46: q+1
      47: 1
      48: q+1
      49: q+1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: q+1
      57: 1
      58: q+1
      59: 1
      60: q+1
      63: 1
      64: 1
      65: q+1
      66: q+1
      69: q+1
      70: 1
      71: q+1
      72: 1
      73: 1
      74: 1
      75: q+1
      76: 1
      78: 1
      79: q+1
      80: 1
      81: q+1
      82: 1
      83: 1
      84: 1
      87: 1
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: q+1
     104: 1
     106: 1
     108: 1
     109: 1
     110: q+1
     112: q+1
     114: q+1
     115: 1
     117: 1
     118: 1
     119: 1
     120: 1
     122: 1
     124: q+1
     125: 1
     126: q+1
     127: 1
     128: 1
     129: 1
     130: 1
     132: 1
     136: 1
     137: 1
     138: 1
     139: 1
     142: 1
     143: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: q+1
     152: 1
     154: 1
     156: 1
     157: 1
     158: 1
     159: 1
     161: 1
     162: 1
     165: 1
     166: 1
     167: 1
     169: 1
     172: 1
     174: 1
     175: 1
     176: 1
     177: 1
     178: 1
     179: 1
     181: 1
     183: 1
     185: 1
     187: 1
     190: 1
     193: 1
     197: 1
     198: 1
     203: 1
     204: 1
     207: 1
     209: 1
     211: 1
     213: 1
     217: 1
     218: 1
     221: 1
     222: 1
     226: 1
     227: 1
     231: 1
     234: 1
     236: 1
     237: 1
     238: 1
     240: 1
     244: 1
     248: 1
     250: 1
     257: 1
     270: 1
     276: 1
     278: 1
     286: 1
     287: 1
     295: 1
     298: 1
     301: 1
     304: 1
     314: 1
     329: 1
     341: 1
     362: 1
     365: 1
     395: 1

396:   6: q^2
      10: q^2
      12: q^2
      13: q^2
      14: q^2
      15: q^2
      16: q^2
      18: q^2
      21: q^2
      23: q^2
      24: q^2
      25: q^2
      34: q^2
      35: q^2
      36: q^2
      37: q^2
      48: q^2
      49: q^2
      76: q
      78: q
      94: q
     105: q
     107: q
     115: q
     117: q
     131: q
     139: q
     153: q
     155: q
     161: 1
     162: 1
     186: q
     190: 1
     212: 1
     214: 1
     226: 1
     227: 1
     249: 1
     257: 1
     271: 1
     277: 1
     279: 1
     315: 1
     330: 1
     342: 1
     396: 1

397:   1: 1
       5: 1
       6: 1
       7: 1
      10: 1
      11: 1
      12: 1
      13: 1
      14: 1
      15: 1
      16: 1
      17: q+1
      18: 1
      19: q+1
      20: 1
      21: 1
      22: 1
      23: 1
      24: 1
      25: 1
      30: 1
      31: 1
      34: 1
      35: 1
      36: 1
      37: 1
      39: 1
      41: 1
      42: 1
      43: 1
      45: 1
      47: 1
      48: 1
      49: 1
      50: 1
      51: 1
      54: 1
      61: 1
      62: 1
      67: 1
      68: 1
      70: 1
      72: 1
      73: 1
      74: 1
      76: 1
      78: 1
      80: 1
      82: 1
      83: 1
      84: 1
      91: 1
      92: 1
      94: 1
      98: 1
      99: 1
     104: 1
     106: 1
     111: 1
     113: 1
     115: 1
     117: 1
     121: 1
     123: 1
     125: 1
     127: 1
     128: 1
     129: 1
     130: 1
     139: 1
     152: 1
     154: 1
     156: 1
     157: 1
     164: 1
     168: 1
     170: 1
     172: 1
     174: 1
     175: 1
     176: 1
     180: 1
     182: 1
     185: 1
     203: 1
     204: 1
     207: 1
     209: 1
     215: 1
     229: 1
     233: 1
     235: 1
     239: 1
     241: 1
     244: 1
     272: 1
     280: 1
     297: 1
     299: 1
     303: 1
     305: 1
     331: 1
     343: 1
     364: 1
     366: 1
     397: 1

398:  17: q^3
      19: q^3
     164: 1
     216: 1
     229: 1
     273: 1
     281: 1
     332: 1
     344: 1
     398: 1

399:   0: 1
       1: q+1
       2: 1
       3: q+1
       4: 1
       5: q+1
       6: 2q+1
       7: q+1
       8: 1
       9: q+1
      10: 2q+1
      11: q+1
      12: 2q+1
      13: 1
      14: 2q+1
      15: 1
      16: 1
      17: q^2+2q+1
      18: 1
      20: q+1
      21: 2q+1
      22: q+1
      23: 2q+1
      24: 1
      25: 1
      26: 1
      27: q+1
      28: 1
      29: 1
      30: 2q+1
      32: 1
      33: 1
      34: 2q+1
      35: 2q+1
      36: 1
      37: 1
      38: 1
      39: q+1
      40: 1
      41: q+1
      42: 1
      43: 1
      44: 1
      45: q+1
      46: 1
      47: q+1
      48: 2q+1
      49: 1
      50: q+1
      51: 1
      52: 1
      53: 1
      54: q+1
      55: 1
      56: 1
      57: 1
      58: q+1
      59: 1
      60: 1
      61: 2q+1
      63: 1
      64: 1
      65: q+1
      66: 1
      67: 2q+1
      69: 1
      70: q+1
      71: 1
      72: q+1
      73: 1
      74: 1
      75: 1
      76: 1
      78: 1
      79: 1
      80: q+1
      81: 1
      82: q+1
      83: 1
      84: 1
      85: q+1
      87: 1
      88: 1
      89: 1
      90: 1
      91: q+1
      92: 1
      94: 1
      95: 1
      96: 1
      97: 1
      98: q+1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     106: 1
     108: 1
     109: 1
     110: q+1
     111: 2q+1
     112: 1
     114: 1
     115: 1
     117: 1
     118: 1
     119: 1
     121: q+1
     124: 1
     125: q+1
     126: 1
     127: q+1
     128: 1
     129: 1
     130: 1
     132: 1
     134: q+1
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     142: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     152: 1
     154: 1
     156: q+1
     157: 1
     158: 1
     159: 1
     165: 1
     166: 1
     168: q+1
     172: 1
     174: 1
     175: 1
     176: 1
     177: 1
     178: 1
     180: q+1
     183: 1
     185: 1
     187: 1
     191: 1
     193: 1
     195: 1
     197: 1
     203: 1
     204: 1
     207: 1
     209: 1
     217: 1
     218: 1
     219: 1
     221: 1
     231: 1
     233: 1
     236: 1
     237: 1
     239: q+1
     244: 1
     250: 1
     260: 1
     266: 1
     282: 1
     284: 1
     286: 1
     295: 1
     297: 1
     301: 1
     303: 1
     325: 1
     345: 1
     351: 1
     362: 1
     364: 1
     399: 1

400:   0: 1
       1: q+1
       2: 1
       3: q+1
       4: 1
       5: q+1
       6: 1
       7: q+1
       8: 1
       9: q+1
      10: 1
      11: q+1
      12: 1
      13: 2q+1
      14: 1
      15: 2q+1
      16: 2q+1
      18: 2q+1
      19: q^2+2q+1
      20: q+1
      21: 1
      22: q+1
      23: 1
      24: 2q+1
      25: 2q+1
      26: 1
      27: 1
      28: 1
      29: q+1
      31: 2q+1
      32: 1
      33: 1
      34: 1
      35: 1
      36: 2q+1
      37: 2q+1
      38: 1
      39: 1
      40: 1
      41: 1
      42: q+1
      43: q+1
      44: 1
      45: q+1
      46: 1
      47: q+1
      48: 1
      49: 2q+1
      50: 1
      51: q+1
      52: 1
      53: 1
      54: q+1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: q+1
      62: 2q+1
      63: 1
      64: 1
      65: 1
      66: q+1
      68: 2q+1
      69: 1
      70: 1
      71: 1
      72: 1
      73: q+1
      74: q+1
      75: 1
      76: 1
      78: 1
      79: 1
      80: 1
      81: 1
      82: 1
      83: q+1
      84: q+1
      86: q+1
      87: 1
      88: 1
      89: 1
      90: 1
      91: 1
      92: q+1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: q+1
     100: 1
     101: 1
     102: 1
     104: 1
     106: 1
     108: 1
     109: 1
     110: 1
     112: q+1
     113: 2q+1
     114: 1
     115: 1
     117: 1
     120: 1
     122: 1
     123: q+1
     124: 1
     125: 1
     126: 1
     127: 1
     128: q+1
     129: q+1
     130: 1
     132: 1
     135: q+1
     136: 1
     137: 1
     138: 1
     139: 1
     141: 1
     143: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     152: 1
     154: 1
     156: 1
     157: q+1
     158: 1
     159: 1
     167: 1
     169: 1
     170: q+1
     172: 1
     174: 1
     175: 1
     176: 1
     179: 1
     181: 1
     182: q+1
     183: 1
     185: 1
     187: 1
     192: 1
     193: 1
     196: 1
     198: 1
     203: 1
     204: 1
     207: 1
     209: 1
     217: 1
     218: 1
     220: 1
     222: 1
     234: 1
     235: 1
     238: 1
     240: 1
     241: q+1
     244: 1
     250: 1
     261: 1
     267: 1
     283: 1
     285: 1
     287: 1
     298: 1
     299: 1
     304: 1
     305: 1
     326: 1
     346: 1
     352: 1
     365: 1
     366: 1
     400: 1

401:   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
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 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
      76: 1
      77: 1
      78: 1
      85: 1
      86: 1
      87: 1
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 1
      97: 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
     134: 1
     135: 1
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: 1
     144: 1
     145: 1
     146: 1
     147: 1
     161: 1
     162: 1
     163: 1
     164: 1
     165: 1
     166: 1
     167: 1
     168: 1
     169: 1
     170: 1
     189: 1
     190: 1
     191: 1
     192: 1
     193: 1
     194: 1
     195: 1
     196: 1
     197: 1
     198: 1
     199: 1
     200: 1
     226: 1
     227: 1
     228: 1
     229: 1
     256: 1
     257: 1
     258: 1
     259: 1
     260: 1
     261: 1
     262: 1
     263: 1
     324: 1
     333: 1
     334: 1
     401: 1

402:   0: q+1
       1: q^2+q+1
       2: q+1
       3: q+1
       4: q+1
       5: 2q^2+1
       6: q^2+q+1
       7: 1
       8: q+1
       9: q+1
      10: 2q^2+1
      11: q^2+1
      12: q^2+q+1
      13: 1
      14: 2q^2+1
      15: q^2+1
      16: 1
      17: q^2+1
      18: q^2+1
      20: q^2+1
      21: q^2+1
      22: 1
      23: q^2+1
      24: 1
      25: 1
      26: q+1
      27: q+1
      28: 1
      29: 1
      30: q^2+1
      32: q+1
      33: q+1
      34: q^2+q+1
      35: 2q^2+1
      36: 1
      37: q^2+1
      38: q+1
      39: q^2+q+1
      40: q+1
      41: 2q^2+1
      42: 1
      43: q^2+1
      44: 1
      45: 1
      46: 1
      47: q^2+1
      48: q^2+1
      49: 1
      50: q^2+1
      51: 1
      52: q+1
      53: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      63: q+1
      64: 1
      65: q+1
      66: 1
      67: q^2+1
      69: q+1
      70: q^2+q+1
      71: q+1
      72: 2q^2+1
      73: 1
      74: q^2+1
      75: 1
      76: 1
      77: 1
      78: q^2+1
      79: 1
      80: 1
      81: 1
      82: 1
      83: 1
      84: 1
      85: 1
      87: q+1
      88: 1
      89: 1
      90: 1
      91: q^2+1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     106: 1
     108: 1
     109: 1
     110: 1
     111: 1
     112: 1
     114: 1
     115: 1
     116: 1
     117: q^2+1
     118: q+1
     119: q+1
     120: 1
     121: q^2+1
     122: 1
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     132: 1
     134: 1
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     142: q+1
     143: 1
     144: 1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     152: 1
     154: 1
     156: 1
     157: 1
     158: 1
     159: 1
     165: 1
     166: 1
     167: 1
     168: 1
     169: 1
     171: 1
     172: 1
     173: 1
     174: 1
     175: 1
     176: 1
     177: 1
     178: 1
     180: 1
     183: 1
     185: 1
     187: 1
     191: 1
     193: 1
     195: 1
     197: 1
     198: 1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     207: 1
     209: 1
     217: 1
     218: 1
     219: 1
     221: 1
     230: 1
     231: 1
     233: 1
     242: 1
     244: 1
     250: 1
     260: 1
     263: 1
     264: 1
     265: 1
     266: 1
     274: 1
     282: 1
     294: 1
     295: 1
     297: 1
     308: 1
     325: 1
     335: 1
     337: 1
     402: 1

403:   0: q+1
       1: 1
       2: q+1
       3: q+1
       4: q+1
       5: q^2+1
       6: 1
       7: q^2+q+1
       8: q+1
       9: q+1
      10: q^2+1
      11: 2q^2+1
      12: 1
      13: q^2+q+1
      14: q^2+1
      15: 2q^2+1
      16: q^2+q+1
      18: 2q^2+1
      19: q^2+1
      20: 1
      21: 1
      22: q^2+1
      23: 1
      24: q^2+1
      25: q^2+1
      26: 1
      27: 1
      28: q+1
      29: q+1
      31: q^2+1
      32: q+1
      33: q+1
      34: 1
      35: q^2+1
      36: q^2+q+1
      37: 2q^2+1
      38: q+1
      39: 1
      40: q+1
      41: q^2+1
      42: q^2+q+1
      43: 2q^2+1
      44: 1
      45: 1
      46: 1
      47: q^2+1
      48: 1
      49: q^2+1
      50: 1
      51: q^2+1
      52: 1
      53: q+1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      62: 1
      63: 1
      64: q+1
      65: 1
      66: q+1
      68: q^2+1
      69: q+1
      70: 1
      71: q+1
      72: q^2+1
      73: q^2+q+1
      74: 2q^2+1
      75: 1
      76: 1
      77: 1
      78: q^2+1
      79: 1
      80: 1
      81: 1
      82: 1
      83: 1
      84: 1
      86: 1
      87: 1
      88: q+1
      89: 1
      90: 1
      91: 1
      92: q^2+1
      93: 1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     106: 1
     108: 1
     109: 1
     110: 1
     112: 1
     113: 1
     114: 1
     115: 1
     116: 1
     117: q^2+1
     118: 1
     119: 1
     120: q+1
     122: q+1
     123: q^2+1
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     132: 1
     135: 1
     136: 1
     137: 1
     138: 1
     139: 1
     141: 1
     142: 1
     143: q+1
     144: 1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     152: 1
     154: 1
     156: 1
     157: 1
     158: 1
     159: 1
     165: 1
     166: 1
     167: 1
     169: 1
     170: 1
     171: 1
     172: 1
     173: 1
     174: 1
     175: 1
     176: 1
     179: 1
     181: 1
     182: 1
     183: 1
     185: 1
     187: 1
     192: 1
     193: 1
     196: 1
     197: 1
     198: 1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     207: 1
     209: 1
     217: 1
     218: 1
     220: 1
     222: 1
     232: 1
     234: 1
     235: 1
     242: 1
     244: 1
     250: 1
     261: 1
     263: 1
     264: 1
     265: 1
     267: 1
     275: 1
     283: 1
     296: 1
     298: 1
     299: 1
     308: 1
     326: 1
     336: 1
     338: 1
     403: 1

404:   0: q^2+2q+1
       1: q^2+q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: q^2+q+1
       6: q^2+q+1
       7: 1
       8: q^2+2q+1
       9: q^2+2q+1
      10: q^2+q+1
      11: 1
      12: q^2+q+1
      13: 1
      14: q^2+q+1
      15: 1
      16: 1
      18: 1
      20: q^2+q+1
      21: q^2+q+1
      22: 1
      23: q^2+q+1
      24: 1
      25: 1
      26: q+1
      27: q+1
      28: 1
      29: 1
      32: q^2+2q+1
      33: q^2+2q+1
      34: q^2+q+1
      35: q^2+q+1
      36: 1
      37: 1
      38: q^2+2q+1
      39: q^2+q+1
      40: q^2+2q+1
      41: q^2+q+1
      42: 1
      43: 1
      44: q+1
      45: 1
      46: q+1
      47: 1
      48: q^2+q+1
      49: 1
      50: q^2+q+1
      51: 1
      52: q+1
      53: 1
      54: 1
      55: 1
      56: q+1
      57: q+1
      58: q+1
      59: 1
      60: 1
      63: q+1
      64: 1
      65: q+1
      66: 1
      69: q^2+2q+1
      70: q^2+q+1
      71: q^2+2q+1
      72: q^2+q+1
      73: 1
      74: 1
      75: q+1
      76: 1
      77: q+1
      78: 1
      79: q+1
      80: 1
      81: q+1
      82: 1
      83: 1
      84: 1
      87: q+1
      88: 1
      89: q+1
      90: 1
      91: q^2+q+1
      92: 1
      93: q+1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: q+1
     104: 1
     106: 1
     108: q+1
     109: 1
     110: q+1
     112: 1
     114: q+1
     115: 1
     116: q+1
     117: 1
     118: q+1
     119: q+1
     120: 1
     122: 1
     124: q+1
     125: 1
     126: q+1
     127: 1
     128: 1
     129: 1
     130: 1
     132: 1
     136: q+1
     137: 1
     138: 1
     139: 1
     142: q+1
     143: 1
     144: q+1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: q+1
     152: 1
     154: 1
     156: 1
     157: 1
     158: 1
     159: 1
     165: q+1
     166: q+1
     167: 1
     169: 1
     171: q+1
     172: 1
     173: q+1
     174: 1
     175: 1
     176: 1
     177: 1
     178: 1
     183: 1
     185: 1
     187: 1
     193: 1
     197: q+1
     198: 1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: q+1
     207: 1
     209: 1
     217: 1
     218: 1
     221: 1
     230: 1
     231: 1
     236: 1
     237: 1
     242: 1
     244: 1
     250: 1
     263: 1
     264: 1
     265: 1
     274: 1
     286: 1
     294: 1
     295: 1
     300: 1
     301: 1
     308: 1
     335: 1
     347: 1
     361: 1
     362: 1
     404: 1

405:   0: q^2+2q+1
       1: 1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: 1
       6: 1
       7: q^2+q+1
       8: q^2+2q+1
       9: q^2+2q+1
      10: 1
      11: q^2+q+1
      12: 1
      13: q^2+q+1
      14: 1
      15: q^2+q+1
      16: q^2+q+1
      18: q^2+q+1
      20: 1
      21: 1
      22: q^2+q+1
      23: 1
      24: q^2+q+1
      25: q^2+q+1
      26: 1
      27: 1
      28: q+1
      29: q+1
      32: q^2+2q+1
      33: q^2+2q+1
      34: 1
      35: 1
      36: q^2+q+1
      37: q^2+q+1
      38: q^2+2q+1
      39: 1
      40: q^2+2q+1
      41: 1
      42: q^2+q+1
      43: q^2+q+1
      44: q+1
      45: 1
      46: q+1
      47: 1
      48: 1
      49: q^2+q+1
      50: 1
      51: q^2+q+1
      52: 1
      53: q+1
      54: 1
      55: 1
      56: q+1
      57: 1
      58: 1
      59: q+1
      60: q+1
      63: 1
      64: q+1
      65: 1
      66: q+1
      69: q^2+2q+1
      70: 1
      71: q^2+2q+1
      72: 1
      73: q^2+q+1
      74: q^2+q+1
      75: q+1
      76: 1
      77: q+1
      78: 1
      79: q+1
      80: 1
      81: q+1
      82: 1
      83: 1
      84: 1
      87: 1
      88: q+1
      89: 1
      90: q+1
      91: 1
      92: q^2+q+1
      93: q+1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: q+1
     104: 1
     106: 1
     108: 1
     109: q+1
     110: 1
     112: q+1
     114: q+1
     115: 1
     116: q+1
     117: 1
     118: 1
     119: 1
     120: q+1
     122: q+1
     124: q+1
     125: 1
     126: q+1
     127: 1
     128: 1
     129: 1
     130: 1
     132: 1
     136: 1
     137: q+1
     138: 1
     139: 1
     142: 1
     143: q+1
     144: q+1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: q+1
     152: 1
     154: 1
     156: 1
     157: 1
     158: 1
     159: 1
     165: 1
     166: 1
     167: q+1
     169: q+1
     171: q+1
     172: 1
     173: q+1
     174: 1
     175: 1
     176: 1
     179: 1
     181: 1
     183: 1
     185: 1
     187: 1
     193: 1
     197: 1
     198: q+1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: q+1
     207: 1
     209: 1
     217: 1
     218: 1
     222: 1
     232: 1
     234: 1
     238: 1
     240: 1
     242: 1
     244: 1
     250: 1
     263: 1
     264: 1
     265: 1
     275: 1
     287: 1
     296: 1
     298: 1
     302: 1
     304: 1
     308: 1
     336: 1
     348: 1
     363: 1
     365: 1
     405: 1

406:   0: q+1
       1: q+1
       2: 1
       3: q+1
       4: 1
       5: q+1
       6: q+1
       7: 1
       8: q+1
       9: 1
      10: q+1
      11: 1
      12: q^2+q+1
      13: 1
      14: q^2+q+1
      15: 1
      17: q^2+q+1
      20: q+1
      21: q+1
      22: 1
      23: q^2+q+1
      24: 1
      26: q+1
      27: q+1
      28: 1
      29: 1
      30: q^2+q+1
      32: 1
      33: 1
      34: q+1
      35: q+1
      38: q+1
      39: q+1
      40: 1
      41: q+1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      48: q+1
      50: q+1
      51: 1
      52: q+1
      53: 1
      54: 1
      55: 1
      56: 1
      57: q+1
      58: q+1
      59: 1
      60: 1
      61: q^2+q+1
      63: 1
      64: 1
      65: q+1
      67: q+1
      69: 1
      70: q+1
      71: 1
      72: q+1
      75: 1
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: 1
      82: 1
      83: 1
      84: 1
      85: q+1
      87: 1
      89: q+1
      90: 1
      91: q+1
      93: 1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     106: 1
     108: 1
     109: 1
     110: q+1
     111: q+1
     118: 1
     119: q+1
     120: 1
     121: q+1
     124: 1
     125: 1
     127: 1
     130: 1
     132: 1
     134: q+1
     136: 1
     140: q+1
     142: 1
     145: 1
     146: 1
     147: 1
     148: 1
     156: 1
     158: 1
     159: 1
     165: 1
     166: q+1
     167: 1
     168: q+1
     171: 1
     172: 1
     174: 1
     177: 1
     178: 1
     180: 1
     187: 1
     191: 1
     195: q+1
     197: 1
     200: 1
     201: 1
     203: 1
     217: 1
     219: 1
     221: 1
     230: 1
     231: 1
     233: 1
     236: 1
     237: 1
     239: 1
     260: 1
     264: 1
     266: 1
     274: 1
     282: 1
     284: 1
     286: 1
     300: 1
     301: 1
     303: 1
     337: 1
     345: 1
     347: 1
     351: 1
     406: 1

407:   0: 1
       1: 1
       2: q+1
       3: 1
       4: q+1
       5: 1
       6: 1
       7: q+1
       8: 1
       9: q+1
      10: 1
      11: q+1
      13: q+1
      15: q+1
      16: q^2+q+1
      18: q^2+q+1
      19: q^2+q+1
      20: 1
      21: 1
      22: q+1
      24: q+1
      25: q^2+q+1
      26: 1
      27: 1
      28: q+1
      29: q+1
      31: q^2+q+1
      32: 1
      33: 1
      36: q+1
      37: q+1
      38: 1
      39: 1
      40: q+1
      41: 1
      42: q+1
      43: q+1
      44: 1
      45: 1
      46: 1
      47: 1
      49: q+1
      50: 1
      51: q+1
      52: 1
      53: q+1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: q+1
      60: q+1
      62: q^2+q+1
      63: 1
      64: 1
      66: q+1
      68: q+1
      69: 1
      71: 1
      73: q+1
      74: q+1
      75: 1
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: 1
      82: 1
      83: 1
      84: 1
      86: q+1
      88: 1
      89: 1
      90: q+1
      92: q+1
      93: 1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     106: 1
     108: 1
     109: 1
     112: q+1
     113: q+1
     118: 1
     120: 1
     122: q+1
     123: q+1
     126: 1
     128: 1
     129: 1
     130: 1
     132: 1
     135: q+1
     137: 1
     141: q+1
     143: 1
     145: 1
     146: 1
     147: 1
     149: 1
     157: 1
     158: 1
     159: 1
     165: 1
     167: 1
     169: q+1
     170: q+1
     173: 1
     175: 1
     176: 1
     179: 1
     181: 1
     182: 1
     187: 1
     192: 1
     196: q+1
     198: 1
     200: 1
     202: 1
     204: 1
     218: 1
     220: 1
     222: 1
     232: 1
     234: 1
     235: 1
     238: 1
     240: 1
     241: 1
     261: 1
     265: 1
     267: 1
     275: 1
     283: 1
     285: 1
     287: 1
     302: 1
     304: 1
     305: 1
     338: 1
     346: 1
     348: 1
     352: 1
     407: 1

408:   0: q^2+4q+1
       1: 2q+1
       2: 2q^2+3q+1
       3: q^2+4q+1
       4: q^2+4q+1
       5: 2q+1
       6: 2q+1
       7: 2q+1
       8: 2q^2+3q+1
       9: q^2+4q+1
      10: 2q+1
      11: 2q+1
      12: q^2+q+1
      13: 2q+1
      14: q^2+q+1
      15: 2q+1
      16: q^2+q+1
      18: q^2+q+1
      20: 2q+1
      21: 2q+1
      22: 2q+1
      23: q^2+q+1
      24: 2q+1
      25: q^2+q+1
      26: 2q+1
      27: 2q+1
      28: 2q+1
      29: 2q+1
      32: 3q+1
      33: 3q+1
      34: q+1
      35: q+1
      36: q+1
      37: q+1
      38: q^2+4q+1
      39: 2q+1
      40: q^2+4q+1
      41: 2q+1
      42: 2q+1
      43: 2q+1
      44: 4q+1
      45: 2q+1
      46: q^2+3q+1
      47: 2q+1
      48: q+1
      49: q+1
      50: 2q+1
      51: 2q+1
      52: 2q+1
      53: 2q+1
      54: 2q+1
      55: 2q+1
      56: 3q+1
      57: 2q+1
      58: 2q+1
      59: 2q+1
      60: 2q+1
      63: q+1
      64: q+1
      65: q+1
      66: q+1
      69: 3q+1
      70: q+1
      71: 3q+1
      72: q+1
      73: q+1
      74: q+1
      75: 4q+1
      76: 2q+1
      77: q^2+3q+1
      78: 2q+1
      79: 3q+1
      80: q+1
      81: 3q+1
      82: q+1
      83: q+1
      84: q+1
      87: 1
      88: 1
      89: 2q+1
      90: 2q+1
      91: q+1
      92: q+1
      93: 3q+1
      94: 2q+1
      95: 2q+1
      96: 2q+1
      97: q+1
      98: q+1
      99: q+1
     100: q+1
     101: q+1
     102: 3q+1
     104: q+1
     106: q+1
     108: q+1
     109: q+1
     110: q+1
     112: q+1
     114: q+2
     115: q+2
     116: q+2
     117: q+2
     118: q+1
     119: q+1
     120: q+1
     122: q+1
     124: q+1
     125: 1
     126: q+1
     127: 1
     128: 1
     129: 1
     130: q+1
     132: q+1
     136: 1
     137: 1
     138: 2
     139: q+2
     142: 1
     143: 1
     144: q+2
     145: q+1
     146: 2q+1
     147: q+1
     148: 1
     149: 1
     150: 1
     151: 1
     152: 1
     153: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: q+1
     159: q+1
     160: 1
     165: q+1
     166: q+1
     167: q+1
     169: q+1
     171: q+1
     172: 1
     173: q+1
     174: 1
     175: 1
     176: 1
     177: 1
     178: 1
     179: 1
     181: 1
     183: 1
     184: 1
     185: 1
     186: 1
     187: q+1
     193: 2
     197: 1
     198: 1
     199: 2
     200: q+1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     206: 1
     207: 1
     208: 1
     209: 1
     210: 1
     217: 1
     218: 1
     221: 1
     222: 1
     223: 1
     224: 2
     225: 1
     230: 1
     231: 1
     232: 1
     234: 1
     236: 1
     237: 1
     238: 1
     240: 1
     242: 1
     243: 1
     244: 1
     245: 1
     250: 1
     251: 1
     252: 1
     254: 1
     263: 2
     264: 1
     265: 1
     274: 1
     275: 1
     286: 1
     287: 1
     288: 1
     290: 1
     293: 1
     300: 1
     301: 1
     302: 1
     304: 1
     308: 1
     309: 1
     347: 1
     348: 1
     349: 1
     354: 1
     358: 1
     408: 1

409:   0: 2q+1
       1: 2q+1
       2: q^2+q+1
       3: 2q+1
       4: 2q+1
       6: 2q+1
       7: 2q+1
       8: q^2+q+1
       9: 2q+1
      12: q^2+q+1
      13: 2q+1
      16: q^2+q+1
      26: 2q+1
      27: 2q+1
      28: 2q+1
      29: 2q+1
      32: q+1
      33: q+1
      34: q+1
      36: q+1
      38: 2q+1
      39: 2q+1
      40: 2q+1
      42: 2q+1
      44: 2q+1
      45: 2q+1
      46: q^2+q+1
      52: 2q+1
      53: 2q+1
      55: 2q+1
      56: q+1
      63: q+1
      64: q+1
      65: q+1
      66: q+1
      69: q+1
      70: q+1
      71: q+1
      73: q+1
      75: 2q+1
      76: 2q+1
      77: q^2+q+1
      79: q+1
      80: q+1
      81: q+1
      83: q+1
      87: 1
      88: 1
      93: q+1
      95: 2q+1
      97: q+1
     100: q+1
     101: q+1
     102: q+1
     104: q+1
     114: q+2
     115: q+2
     116: q+2
     118: q+1
     119: q+1
     120: q+1
     122: q+1
     124: 1
     125: 1
     126: 1
     128: 1
     132: q+1
     138: 2
     142: 1
     143: 1
     144: q+2
     145: q+1
     148: 1
     149: 1
     150: 1
     151: 1
     152: 1
     153: 1
     160: 1
     161: q+2
     162: q+2
     163: q+2
     171: 1
     172: 1
     173: 1
     175: 1
     177: 1
     178: 1
     179: 1
     181: 1
     183: 1
     184: 1
     190: 2
     194: q+2
     199: 2
     201: 1
     202: 1
     205: 1
     206: 1
     207: 1
     208: 1
     211: 1
     212: 1
     213: 1
     214: 1
     221: 1
     222: 1
     223: 1
     224: 2
     225: 1
     230: 1
     231: 1
     232: 1
     234: 1
     242: 1
     243: 1
     248: 1
     249: 1
     252: 1
     254: 1
     262: 2
     268: 1
     269: 1
     270: 1
     271: 1
     274: 1
     275: 1
     288: 1
     289: 2
     293: 1
     306: 1
     307: 1
     320: 1
     322: 1
     349: 1
     353: 1
     409: 1

410:   0: q^2+2q+1
       1: q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       6: q+1
       7: q+1
       8: q^2+2q+1
       9: q^2+2q+1
      12: q+1
      13: q+1
      16: q+1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      32: q^2+2q+1
      33: q^2+2q+1
      34: q+1
      36: q+1
      38: q^2+2q+1
      39: q+1
      40: q^2+2q+1
      42: q+1
      44: 2q+1
      45: q+1
      46: 2q+1
      52: q+1
      53: q+1
      55: q+1
      56: 2q+1
      63: q+1
      64: q+1
      65: q+1
      66: q+1
      69: q^2+2q+1
      70: q+1
      71: q^2+2q+1
      73: q+1
      75: 2q+1
      76: q+1
      77: 2q+1
      79: q+1
      80: 1
      81: q+1
      83: 1
      87: q+1
      88: q+1
      93: 2q+1
      95: q+1
      97: q+1
     100: 1
     101: 1
     102: q+1
     104: 1
     114: 2q+1
     115: q+1
     116: 2q+1
     118: q+1
     119: q+1
     120: q+1
     122: q+1
     124: q+1
     125: 1
     126: q+1
     128: 1
     132: 1
     138: q+1
     142: q+1
     143: q+1
     144: 2q+1
     145: q+1
     148: 1
     149: 1
     150: q+1
     152: 1
     160: 1
     171: q+1
     172: 1
     173: q+1
     175: 1
     177: 1
     178: 1
     179: 1
     181: 1
     183: 1
     199: q+1
     201: 1
     202: 1
     205: q+1
     207: 1
     221: 1
     222: 1
     223: 1
     224: 1
     225: 1
     230: 1
     231: 1
     232: 1
     234: 1
     242: 1
     252: 1
     274: 1
     275: 1
     288: 1
     293: 1
     294: 1
     295: 1
     296: 1
     298: 1
     335: 1
     336: 1
     349: 1
     350: 1
     410: 1

411:   0: q^2+3q+1
       1: q+1
       2: q^2+3q+1
       3: q+1
       4: q^2+3q+1
       5: q+1
       6: 1
       7: q+1
       8: q^2+3q+1
       9: q+1
      10: 1
      11: q+1
      12: 1
      13: 1
      14: 1
      15: 1
      16: 1
      18: 1
      20: q+1
      21: 1
      22: q+1
      23: 1
      24: 1
      25: 1
      26: q+1
      27: 1
      28: q+1
      29: 1
      32: q^2+3q+1
      33: q^2+3q+1
      34: 1
      35: 1
      36: 1
      37: 1
      38: q+1
      39: 1
      40: q+1
      41: 1
      42: 1
      43: 1
      44: q^2+3q+1
      45: q+1
      46: q^2+3q+1
      47: q+1
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: q+1
      55: q+1
      56: q^2+3q+1
      57: q+1
      58: 1
      59: q+1
      60: 1
      63: q+1
      64: q+1
      65: 1
      66: 1
      69: q+1
      70: 1
      71: q+1
      72: 1
      73: 1
      74: 1
      75: 1
      76: 1
      77: q^2+2q+1
      78: 1
      79: q+1
      80: 1
      81: q+1
      82: 1
      83: 1
      84: 1
      87: 1
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: q+1
      97: q+1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     106: 1
     108: q+1
     109: q+1
     110: 1
     112: 1
     114: 1
     115: 1
     116: q^2+2q+1
     117: 1
     118: 1
     119: 1
     120: 1
     122: 1
     124: q+1
     125: 1
     126: q+1
     127: 1
     128: 1
     129: 1
     130: 1
     132: 1
     136: 1
     137: 1
     138: 1
     139: 1
     142: 1
     143: 1
     144: 1
     145: 1
     146: 1
     147: q+1
     148: 1
     149: 1
     150: 1
     152: 1
     154: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     165: 1
     166: 1
     167: 1
     169: 1
     171: 2
     173: 2
     177: 1
     178: 1
     179: 1
     181: 1
     183: 1
     185: 1
     187: 1
     193: 1
     197: 1
     198: 1
     199: 1
     200: 1
     205: 2
     217: 1
     218: 1
     221: 1
     222: 1
     223: 1
     224: 1
     225: 2
     230: 1
     232: 1
     236: 1
     237: 1
     238: 1
     240: 1
     250: 1
     252: 1
     253: 1
     263: 1
     286: 1
     287: 1
     288: 1
     290: 1
     293: 1
     294: 1
     296: 1
     300: 1
     302: 1
     350: 1
     354: 1
     358: 1
     361: 1
     363: 1
     411: 1

412:   0: 3q+1
       1: 3q+1
       2: 3q+1
       3: q^2+2q+1
       4: 3q+1
       5: q+1
       6: q^2+2q+1
       7: 3q+1
       8: 3q+1
       9: q^2+2q+1
      10: q+1
      11: q+1
      12: q^2+2q+1
      13: q^2+2q+1
      14: q+1
      15: q+1
      16: q^2+2q+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: 3q+1
      27: q^2+2q+1
      28: 3q+1
      29: q^2+2q+1
      30: q+1
      31: q+1
      32: 3q+1
      33: 3q+1
      34: q^2+2q+1
      35: q+1
      36: q^2+2q+1
      37: q+1
      38: q+1
      39: q+1
      40: q+1
      41: 1
      42: q+1
      43: 1
      44: 3q+1
      45: 3q+1
      46: 3q+1
      47: q+1
      48: q+1
      49: q+1
      50: 1
      51: 1
      52: q+1
      53: q+1
      54: q+1
      55: 3q+1
      56: 3q+1
      57: q+1
      58: q+1
      59: q+1
      60: q+1
      61: q+1
      62: q+1
      63: 3q+1
      64: 3q+1
      65: q^2+2q+1
      66: q^2+2q+1
      67: q+1
      68: q+1
      69: q+1
      70: q+1
      71: q+1
      72: 1
      73: q+1
      74: 1
      75: 2
      76: 2
      77: q+1
      78: 2
      79: q+1
      80: q+1
      81: q+1
      82: 1
      83: q+1
      84: 1
      85: q+1
      86: q+1
      87: q+1
      88: q+1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 1
      94: 2
      95: 2
      96: q+1
      97: 3q+1
      98: 1
      99: 1
     100: q+1
     101: q+1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: q+1
     109: q+1
     110: q+1
     111: q+1
     112: q+1
     113: q+1
     114: 2
     115: 2
     116: q+1
     117: 2
     118: q+1
     119: q+1
     120: q+1
     121: 1
     122: q+1
     123: 1
     124: q+1
     125: q+1
     126: q+1
     127: 1
     128: q+1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 1
     134: q+1
     135: q+1
     136: 1
     137: 1
     138: 2
     139: 2
     140: 1
     141: 1
     142: q+1
     143: q+1
     144: 1
     145: 1
     146: 2
     147: q+1
     148: q+1
     149: q+1
     150: 1
     151: 1
     152: 1
     153: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     161: 2
     162: 2
     163: q+1
     164: 2
     165: 1
     166: 1
     167: 1
     168: 1
     169: 1
     170: 1
     177: q+1
     178: q+1
     179: q+1
     180: 1
     181: q+1
     182: 1
     183: 1
     184: 1
     185: 1
     186: 1
     187: 1
     188: 1
     189: 2
     190: 2
     191: 1
     192: 1
     193: 2
     194: 1
     195: 1
     196: 1
     197: 1
     198: 1
     199: 1
     200: 1
     211: 1
     212: 1
     213: 1
     214: 1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: q+1
     222: q+1
     223: 1
     224: 1
     236: 1
     237: 1
     238: 1
     239: 1
     240: 1
     241: 1
     246: 1
     247: 1
     248: 1
     249: 1
     250: 1
     251: 1
     258: 2
     260: 1
     261: 1
     262: 1
     263: 1
     282: 1
     283: 1
     284: 1
     285: 1
     286: 1
     287: 1
     288: 1
     289: 1
     290: 1
     316: 1
     317: 1
     333: 1
     351: 1
     352: 1
     353: 1
     354: 1
     412: 1

413:   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^2+2q+1
      10: q+1
      11: q+1
      12: q+1
      13: q+1
      14: q+1
      15: q+1
      16: q+1
      18: 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
      32: q^2+2q+1
      33: q^2+2q+1
      34: q+1
      35: q+1
      36: q+1
      37: q+1
      38: q+1
      39: 1
      40: q+1
      41: 1
      42: 1
      43: 1
      44: q^2+2q+1
      45: q+1
      46: q^2+2q+1
      47: q+1
      48: q+1
      49: q+1
      50: 1
      51: 1
      52: 1
      53: 1
      54: q+1
      55: q+1
      56: q^2+2q+1
      57: q+1
      58: q+1
      59: q+1
      60: q+1
      63: q+1
      64: q+1
      65: q+1
      66: q+1
      69: q+1
      70: 1
      71: q+1
      72: 1
      73: 1
      74: 1
      75: 2q+2
      76: 2
      77: q^2+2q+1
      78: 2
      79: q+1
      80: 1
      81: q+1
      82: 1
      83: 1
      84: 1
      87: 1
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: q+1
      94: 2
      95: 2
      96: q+1
      97: q+1
      98: 1
      99: 1
     100: 1
     101: 1
     102: q+1
     103: q+1
     104: 1
     105: 1
     106: 1
     107: 1
     108: q+1
     109: q+1
     110: q+1
     112: q+1
     114: 2q+2
     115: 2
     116: q^2+2q+1
     117: 2
     118: 1
     119: 1
     120: 1
     122: 1
     124: q+1
     125: 1
     126: q+1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 1
     136: 1
     137: 1
     138: 2
     139: 2
     142: 1
     143: 1
     144: q+1
     145: 1
     146: 2
     147: q+1
     148: 1
     149: 1
     150: q+1
     151: q+1
     152: 1
     153: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: q+1
     161: 2
     162: 2
     163: q+1
     165: 1
     166: 1
     167: 1
     169: 1
     177: 1
     178: 1
     179: 1
     181: 1
     183: 1
     184: 1
     185: 1
     186: 1
     187: 1
     188: 1
     190: 2
     193: 2
     194: 1
     197: 1
     198: 1
     199: 1
     200: 1
     211: 1
     212: 1
     213: 1
     214: 1
     217: 1
     218: 1
     221: 1
     222: 1
     223: 1
     224: q+1
     226: 2
     227: 2
     228: q+1
     236: 1
     237: 1
     238: 1
     240: 1
     248: 1
     249: 1
     250: 1
     251: 1
     257: 2
     259: 1
     262: 1
     263: 1
     276: 1
     277: 1
     278: 1
     279: 1
     286: 1
     287: 1
     288: 1
     289: 1
     290: 1
     314: 1
     315: 1
     334: 1
     353: 1
     354: 1
     355: 1
     413: 1

414:   0: q+1
       1: q+1
       2: 2q+1
       3: q^2+q+1
       4: q+1
       5: 1
       6: q^2+q+1
       7: q+1
       8: 2q+1
       9: 1
      10: q^3+q^2+1
      11: 1
      12: q^3+q^2+q+1
      13: 1
      14: q^2+1
      15: q^3+1
      17: q^2+1
      20: 1
      21: q^2+1
      22: 1
      23: q^2+1
      24: 1
      26: q+1
      27: q^2+q+1
      28: q+1
      29: 1
      30: q^2+1
      32: q+1
      33: q+1
      34: q^2+q+1
      35: q^2+1
      38: q+1
      39: q+1
      40: 1
      41: 1
      42: 1
      43: 1
      44: q+1
      45: q+1
      46: 2q+1
      47: 1
      48: q^2+1
      50: 1
      51: 1
      52: q+1
      53: 1
      54: 1
      55: q+1
      56: q+1
      57: 1
      58: q^2+1
      59: 1
      60: 1
      61: q^2+1
      63: q+1
      64: q+1
      65: q^2+q+1
      67: q^2+1
      69: q+1
      70: q+1
      71: 1
      72: 1
      75: 1
      76: 1
      77: q+1
      78: q^2+1
      79: q+1
      80: q+1
      81: 1
      82: 1
      83: 1
      84: 1
      85: q^2+1
      87: q+1
      89: 1
      90: 1
      91: 1
      93: 1
      94: 1
      95: 1
      96: 1
      97: q+1
      98: 1
      99: 1
     100: q+1
     101: 1
     102: 1
     104: 1
     106: 1
     107: q^2
     108: 1
     109: 1
     110: 1
     111: 1
     118: q+1
     119: q+1
     120: 1
     121: 1
     124: q+1
     125: q+1
     126: 1
     127: 1
     130: 1
     132: 1
     134: 1
     136: 1
     140: 1
     142: q+1
     145: 1
     146: 1
     147: 1
     148: q+1
     156: 1
     158: 1
     159: 1
     160: 1
     165: 1
     166: 1
     167: 1
     168: 1
     171: 1
     172: 1
     173: 1
     174: 1
     177: q+1
     178: q+1
     179: 1
     180: 1
     187: 1
     191: 1
     195: 1
     197: 1
     200: 1
     201: 1
     203: 1
     217: 1
     219: 1
     221: q+1
     223: 1
     225: 1
     230: 1
     231: 1
     232: 1
     233: 1
     236: 1
     237: 1
     238: 1
     239: 1
     260: 1
     264: 1
     266: 1
     274: 1
     282: 1
     284: 1
     286: 1
     290: 1
     291: 1
     293: 1
     337: 1
     351: 1
     356: 1
     359: 1
     414: 1

415:   0: q+1
       1: q+1
       2: 2q+1
       3: 1
       4: q+1
       5: 1
       6: 1
       7: q+1
       8: 2q+1
       9: q^2+q+1
      10: q^3+1
      11: 1
      13: q^2+q+1
      15: q^3+q^2+1
      16: q^3+q^2+q+1
      18: q^2+1
      19: q^2+1
      20: 1
      21: 1
      22: 1
      24: q^2+1
      25: q^2+1
      26: q+1
      27: 1
      28: q+1
      29: q^2+q+1
      31: q^2+1
      32: q+1
      33: q+1
      36: q^2+q+1
      37: q^2+1
      38: 1
      39: 1
      40: q+1
      41: 1
      42: q+1
      43: 1
      44: q+1
      45: q+1
      46: 2q+1
      47: 1
      49: q^2+1
      50: 1
      51: 1
      52: 1
      53: q+1
      54: 1
      55: q+1
      56: q+1
      57: 1
      58: 1
      59: 1
      60: q^2+1
      62: q^2+1
      63: q+1
      64: q+1
      66: q^2+q+1
      68: q^2+1
      69: 1
      71: q+1
      73: q+1
      74: 1
      75: 1
      76: 1
      77: q+1
      78: q^2+1
      79: 1
      80: 1
      81: q+1
      82: 1
      83: q+1
      84: 1
      86: q^2+1
      88: q+1
      89: 1
      90: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 1
      97: q+1
      98: 1
      99: 1
     100: 1
     101: q+1
     102: 1
     104: 1
     106: 1
     107: q^2
     108: 1
     109: 1
     112: 1
     113: 1
     118: 1
     120: q+1
     122: q+1
     123: 1
     124: 1
     126: q+1
     128: q+1
     129: 1
     130: 1
     132: 1
     135: 1
     137: 1
     141: 1
     143: q+1
     145: 1
     146: 1
     147: 1
     149: q+1
     157: 1
     158: 1
     159: 1
     160: 1
     165: 1
     167: 1
     169: 1
     170: 1
     171: 1
     173: 1
     175: 1
     176: 1
     177: 1
     179: q+1
     181: q+1
     182: 1
     187: 1
     192: 1
     196: 1
     198: 1
     200: 1
     202: 1
     204: 1
     218: 1
     220: 1
     222: q+1
     223: 1
     225: 1
     230: 1
     232: 1
     234: 1
     235: 1
     236: 1
     238: 1
     240: 1
     241: 1
     261: 1
     265: 1
     267: 1
     275: 1
     283: 1
     285: 1
     287: 1
     290: 1
     292: 1
     293: 1
     338: 1
     352: 1
     357: 1
     360: 1
     415: 1

416:   0: 2q+1
       1: q+1
       2: 2q+1
       3: q+1
       4: 2q+1
       6: q^3+q+1
       7: q+1
       8: 2q+1
       9: q+1
      12: q^3+q+1
      13: 1
      16: 1
      26: q+1
      27: q+1
      28: q+1
      29: 1
      32: 2q+1
      33: 2q+1
      34: q^3+q+1
      36: 1
      38: q+1
      39: q+1
      40: q+1
      42: 1
      44: 2q+1
      45: q+1
      46: 2q+1
      52: q+1
      53: 1
      55: q+1
      56: 2q+1
      63: q+1
      64: q+1
      65: q+1
      66: 1
      69: q+1
      70: q+1
      71: q+1
      73: 1
      75: 1
      76: 1
      77: q+1
      79: q+1
      80: q+1
      81: q+1
      83: 1
      87: q+1
      88: 1
      93: 1
      95: 1
      97: q+1
     100: q+1
     101: 1
     102: 1
     104: 1
     114: 1
     115: 1
     116: q+1
     118: q+1
     119: q+1
     120: 1
     122: 1
     124: q+1
     125: q+1
     126: q+1
     128: 1
     132: 1
     138: 1
     142: q+1
     143: 1
     144: 1
     145: 1
     148: q+1
     149: 1
     150: 1
     152: 1
     160: 1
     171: 2
     172: 1
     173: 2
     175: 1
     177: q+1
     178: q+1
     179: 1
     181: 1
     183: 1
     199: 1
     201: 1
     202: 1
     205: 2
     207: 1
     221: q+1
     222: 1
     223: 1
     224: 1
     225: 2
     230: 1
     231: 1
     232: 1
     242: 1
     252: 1
     253: 1
     274: 1
     288: 1
     291: 1
     292: 1
     293: 1
     294: 1
     295: 1
     296: 1
     318: 1
     335: 1
     350: 1
     359: 1
     416: 1

417:   0: 2q+1
       1: q+1
       2: 2q+1
       3: q+1
       4: 2q+1
       6: 1
       7: q+1
       8: 2q+1
       9: q+1
      12: 1
      13: q^3+q+1
      16: q^3+q+1
      26: q+1
      27: 1
      28: q+1
      29: q+1
      32: 2q+1
      33: 2q+1
      34: 1
      36: q^3+q+1
      38: q+1
      39: 1
      40: q+1
      42: q+1
      44: 2q+1
      45: q+1
      46: 2q+1
      52: 1
      53: q+1
      55: q+1
      56: 2q+1
      63: q+1
      64: q+1
      65: 1
      66: q+1
      69: q+1
      70: 1
      71: q+1
      73: q+1
      75: 1
      76: 1
      77: q+1
      79: q+1
      80: 1
      81: q+1
      83: q+1
      87: 1
      88: q+1
      93: 1
      95: 1
      97: q+1
     100: 1
     101: q+1
     102: 1
     104: 1
     114: 1
     115: 1
     116: q+1
     118: 1
     119: 1
     120: q+1
     122: q+1
     124: q+1
     125: 1
     126: q+1
     128: q+1
     132: 1
     138: 1
     142: 1
     143: q+1
     144: 1
     145: 1
     148: 1
     149: q+1
     150: 1
     152: 1
     160: 1
     171: 2
     172: 1
     173: 2
     175: 1
     177: 1
     178: 1
     179: q+1
     181: q+1
     183: 1
     199: 1
     201: 1
     202: 1
     205: 2
     207: 1
     221: 1
     222: q+1
     223: 1
     224: 1
     225: 2
     230: 1
     232: 1
     234: 1
     242: 1
     252: 1
     253: 1
     275: 1
     288: 1
     291: 1
     292: 1
     293: 1
     294: 1
     296: 1
     298: 1
     318: 1
     336: 1
     350: 1
     360: 1
     417: 1

418:   0: q+1
       1: 1
       2: q^2+2q+1
       3: q+1
       4: q+1
       5: 1
       6: 1
       7: 1
       8: q^2+2q+1
       9: q+1
      10: 1
      11: 1
      12: q^3+1
      13: 1
      14: q^3+1
      15: 1
      20: 1
      21: 1
      22: 1
      23: q^3+1
      24: 1
      26: 1
      27: 1
      28: 1
      29: 1
      32: q+1
      33: q+1
      34: 1
      35: 1
      38: q+1
      39: 1
      40: q+1
      41: 1
      42: 1
      43: 1
      44: q+1
      45: 1
      46: q^2+2q+1
      47: 1
      48: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: q+1
      57: 1
      58: 1
      59: 1
      60: 1
      63: 1
      64: 1
      65: 1
      69: q+1
      70: 1
      71: q+1
      72: 1
      75: q+1
      76: 1
      77: q^2+2q+1
      78: 1
      79: q+1
      80: 1
      81: q+1
      82: 1
      83: 1
      84: 1
      87: 1
      89: 1
      90: 1
      91: 1
      93: q+1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: q+1
     104: 1
     106: 1
     108: 1
     109: 1
     110: 1
     118: 1
     119: 1
     120: 1
     124: q+1
     125: 1
     126: q+1
     127: 1
     130: 1
     132: 1
     136: 1
     142: 1
     145: 1
     146: 1
     147: 1
     148: 1
     156: 1
     158: 1
     159: 1
     160: q+1
     165: 1
     166: 1
     167: 1
     171: q+1
     172: 1
     173: q+1
     174: 1
     177: 1
     178: 1
     179: 1
     187: 1
     197: 1
     200: 1
     201: 1
     203: 1
     217: 1
     221: 1
     223: 1
     225: q+1
     230: 1
     231: 1
     232: 1
     236: 1
     237: 1
     238: 1
     264: 1
     274: 1
     286: 1
     290: 1
     291: 1
     293: 1
     300: 1
     301: 1
     302: 1
     347: 1
     356: 1
     358: 1
     359: 1
     418: 1

419:   0: q+1
       1: 1
       2: q^2+2q+1
       3: q+1
       4: q+1
       5: 1
       6: 1
       7: 1
       8: q^2+2q+1
       9: q+1
      10: 1
      11: 1
      13: 1
      15: 1
      16: q^3+1
      18: q^3+1
      20: 1
      21: 1
      22: 1
      24: 1
      25: q^3+1
      26: 1
      27: 1
      28: 1
      29: 1
      32: q+1
      33: q+1
      36: 1
      37: 1
      38: q+1
      39: 1
      40: q+1
      41: 1
      42: 1
      43: 1
      44: q+1
      45: 1
      46: q^2+2q+1
      47: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: q+1
      57: 1
      58: 1
      59: 1
      60: 1
      63: 1
      64: 1
      66: 1
      69: q+1
      71: q+1
      73: 1
      74: 1
      75: q+1
      76: 1
      77: q^2+2q+1
      78: 1
      79: q+1
      80: 1
      81: q+1
      82: 1
      83: 1
      84: 1
      88: 1
      89: 1
      90: 1
      92: 1
      93: q+1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: q+1
     104: 1
     106: 1
     108: 1
     109: 1
     112: 1
     118: 1
     120: 1
     122: 1
     124: q+1
     126: q+1
     128: 1
     129: 1
     130: 1
     132: 1
     137: 1
     143: 1
     145: 1
     146: 1
     147: 1
     149: 1
     157: 1
     158: 1
     159: 1
     160: q+1
     165: 1
     167: 1
     169: 1
     171: q+1
     173: q+1
     175: 1
     176: 1
     177: 1
     179: 1
     181: 1
     187: 1
     198: 1
     200: 1
     202: 1
     204: 1
     218: 1
     222: 1
     223: 1
     225: q+1
     230: 1
     232: 1
     234: 1
     236: 1
     238: 1
     240: 1
     265: 1
     275: 1
     287: 1
     290: 1
     292: 1
     293: 1
     300: 1
     302: 1
     304: 1
     348: 1
     357: 1
     358: 1
     360: 1
     419: 1

420:   0: q^2+3q+1
       1: q^2+3q+1
       2: q^2+3q+1
       3: q^2+2q+1
       4: q^2+3q+1
       5: q^3+q^2+2q+1
       6: q^2+2q+1
       7: q^2+3q+1
       8: q^2+3q+1
       9: q+1
      10: q+1
      11: q+1
      12: q^2+2q+1
      13: q+1
      14: q+1
      15: 1
      16: q+1
      17: q+1
      18: 1
      19: 1
      20: q^2+2q+1
      21: q+1
      22: q+1
      23: q+1
      24: 1
      25: 1
      26: q^2+3q+1
      27: q^2+2q+1
      28: q^2+3q+1
      29: q+1
      30: q+1
      31: 1
      32: q^2+3q+1
      33: q^2+3q+1
      34: q^2+2q+1
      35: q+1
      36: q+1
      37: 1
      38: 2q+1
      39: 2q+1
      40: q+1
      41: q+1
      42: q+1
      43: 1
      44: 2q+1
      45: 2q+1
      46: 2q+1
      47: q+1
      48: q+1
      49: 1
      50: q+1
      51: 1
      52: 2q+1
      53: q+1
      54: q+1
      55: 2q+1
      56: 2q+1
      57: q^2+2q+1
      58: q+1
      59: q+1
      60: 1
      61: q+1
      62: 1
      63: q^2+3q+1
      64: q^2+3q+1
      65: q^2+2q+1
      66: q+1
      67: q+1
      68: 1
      69: 2q+1
      70: 2q+1
      71: q+1
      72: q+1
      73: q+1
      74: 1
      75: 1
      76: 1
      77: q+1
      78: 1
      79: q+1
      80: q+1
      81: 1
      82: 1
      83: 1
      84: 1
      85: q+1
      86: 1
      87: 2q+1
      88: q+1
      89: q+1
      90: 1
      91: q+1
      92: 1
      93: 1
      94: 1
      95: 1
      96: q+1
      97: 2q+1
      98: 1
      99: 1
     100: q+1
     101: 1
     102: 1
     104: 1
     106: 1
     108: q^2+2q+1
     109: q+1
     110: q+1
     111: q+1
     112: 1
     113: 1
     114: 1
     115: 1
     116: q+1
     117: 1
     118: 2q+1
     119: 2q+1
     120: q+1
     121: q+1
     122: q+1
     123: 1
     124: q+1
     125: q+1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     132: 1
     134: q+1
     135: 1
     136: q+1
     137: 1
     138: 1
     139: 1
     140: q+1
     141: 1
     142: 2q+1
     143: q+1
     144: 1
     145: 1
     146: 1
     147: q+1
     148: q+1
     149: 1
     150: 1
     152: 1
     154: 1
     156: 1
     157: 1
     158: 1
     159: 1
     161: 1
     162: 1
     163: q+1
     164: 1
     165: 1
     166: 1
     167: 1
     168: 1
     169: 1
     170: 1
     171: 1
     173: 1
     177: q+1
     178: q+1
     179: 1
     180: 1
     181: 1
     182: 1
     183: 1
     185: 1
     187: 1
     189: 1
     190: 1
     191: q+1
     192: 1
     193: 1
     194: 1
     195: 1
     196: 1
     197: 1
     198: 1
     199: 1
     200: 1
     205: 1
     211: 1
     213: 1
     215: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: q+1
     222: 1
     230: 1
     232: 1
     236: 1
     237: 1
     239: 1
     246: 1
     248: 1
     250: 1
     258: 1
     260: 1
     261: 1
     262: 1
     263: 1
     268: 1
     282: 1
     283: 1
     284: 1
     286: 1
     294: 1
     296: 1
     300: 1
     316: 1
     327: 1
     333: 1
     351: 1
     361: 1
     420: 1

421:   0: 3q+1
       1: 3q+1
       2: q^2+2q+1
       3: 2q^2+4q+1
       4: 3q+1
       5: q^2+2q+1
       6: 2q^2+4q+1
       7: 3q+1
       8: q^2+2q+1
       9: q^2+3q+1
      10: 2q^2+3q+1
      11: q^2+2q+1
      12: 2q^2+3q+1
      13: q^2+3q+1
      14: 2q+1
      15: q+1
      16: q+1
      17: 2q+1
      18: 1
      19: 1
      20: 2q+1
      21: q^2+3q+1
      22: 2q+1
      23: 2q+1
      24: q+1
      25: 1
      26: 3q+1
      27: 2q^2+4q+1
      28: 3q+1
      29: q^2+3q+1
      30: 2q+1
      31: 1
      32: 2q+1
      33: 2q+1
      34: q^2+3q+1
      35: 2q+1
      36: q+1
      37: 1
      38: 3q+1
      39: 3q+1
      40: 2q+1
      41: q^2+2q+1
      42: 2q+1
      43: q+1
      44: 3q+1
      45: 3q+1
      46: q^2+2q+1
      47: q^2+2q+1
      48: 2q+1
      49: 1
      50: 2q+1
      51: q+1
      52: 3q+1
      53: 2q+1
      54: 2q+1
      55: 3q+1
      56: 2q+1
      57: 2q+1
      58: q^2+3q+1
      59: 2q+1
      60: q+1
      61: 2q+1
      62: 1
      63: 2q+1
      64: 2q+1
      65: q^2+3q+1
      66: q+1
      67: 2q+1
      68: 1
      69: 2q+1
      70: 2q+1
      71: q+1
      72: q+1
      73: 1
      74: 1
      75: 2q+1
      76: 2q+1
      78: q+1
      79: 3q+1
      80: 3q+1
      81: 2q+1
      82: q^2+2q+1
      83: 2q+1
      84: q+1
      85: 2q+1
      86: 1
      87: q+1
      88: 1
      89: 2q+1
      90: q+1
      91: q+1
      92: 1
      94: q+1
      95: 2q+1
      96: 2q+1
      97: 2q+1
      98: 2q+1
      99: q+1
     100: 3q+1
     101: 2q+1
     102: 2q+1
     104: 2q+1
     106: q+1
     108: q+1
     109: q+1
     110: q+1
     111: q+1
     112: 1
     113: 1
     114: q+1
     115: 1
     117: 1
     118: 2q+1
     119: 2q+1
     120: q+1
     121: q+1
     122: 1
     123: 1
     124: 2q+1
     125: 2q+1
     126: q+1
     127: q+1
     128: 1
     129: 1
     130: q+1
     132: 2q+1
     134: q+1
     135: 1
     136: 1
     137: 1
     138: 1
     139: 1
     140: q+1
     141: 1
     142: q+1
     143: 1
     146: q+1
     147: q+1
     148: q+1
     149: 1
     150: q+1
     152: 1
     154: 1
     156: q+1
     157: 1
     158: 2q+1
     159: q+1
     161: q+1
     162: 1
     164: 1
     165: q+1
     166: 1
     168: 1
     172: q+1
     174: 1
     175: 1
     176: 1
     177: 2q+1
     178: 2q+1
     179: q+1
     180: q+1
     181: 1
     182: 1
     183: 1
     185: 1
     187: q+1
     189: 1
     190: 1
     191: 1
     192: 1
     193: 1
     195: 1
     197: 1
     203: 1
     204: 1
     207: 1
     209: 1
     211: q+1
     213: 1
     215: 1
     217: 1
     218: 1
     219: q+1
     220: 1
     221: q+1
     222: 1
     231: q+1
     233: 1
     234: 1
     235: 1
     236: q+1
     237: 1
     239: 1
     244: 1
     246: 1
     248: 1
     250: 1
     258: 1
     260: 1
     266: 1
     267: 1
     270: 1
     272: 1
     282: 1
     283: 1
     284: 1
     286: 1
     295: 1
     298: 1
     301: 1
     303: 1
     310: 1
     316: 1
     329: 1
     345: 1
     351: 1
     362: 1
     421: 1

422:   0: q^2+3q+1
       1: q^2+3q+1
       2: q^2+3q+1
       3: q+1
       4: q^2+3q+1
       5: q+1
       6: q+1
       7: q^2+3q+1
       8: q^2+3q+1
       9: q^2+2q+1
      10: 1
      11: q^3+q^2+2q+1
      12: q+1
      13: q^2+2q+1
      14: 1
      15: q+1
      16: q^2+2q+1
      17: 1
      18: q+1
      19: q+1
      20: q+1
      21: 1
      22: q^2+2q+1
      23: 1
      24: q+1
      25: q+1
      26: q^2+3q+1
      27: q+1
      28: q^2+3q+1
      29: q^2+2q+1
      30: 1
      31: q+1
      32: q^2+3q+1
      33: q^2+3q+1
      34: q+1
      35: 1
      36: q^2+2q+1
      37: q+1
      38: q+1
      39: q+1
      40: 2q+1
      41: 1
      42: 2q+1
      43: q+1
      44: 2q+1
      45: 2q+1
      46: 2q+1
      47: q+1
      48: 1
      49: q+1
      50: 1
      51: q+1
      52: q+1
      53: 2q+1
      54: q+1
      55: 2q+1
      56: 2q+1
      57: q+1
      58: 1
      59: q^2+2q+1
      60: q+1
      61: 1
      62: q+1
      63: q^2+3q+1
      64: q^2+3q+1
      65: q+1
      66: q^2+2q+1
      67: 1
      68: q+1
      69: q+1
      70: q+1
      71: 2q+1
      72: 1
      73: 2q+1
      74: q+1
      75: 1
      76: 1
      77: q+1
      78: 1
      79: 1
      80: 1
      81: q+1
      82: 1
      83: q+1
      84: 1
      85: 1
      86: q+1
      87: q+1
      88: 2q+1
      89: 1
      90: q+1
      91: 1
      92: q+1
      93: 1
      94: 1
      95: 1
      96: q+1
      97: 2q+1
      98: 1
      99: 1
     100: 1
     101: q+1
     102: 1
     104: 1
     106: 1
     108: q+1
     109: q^2+2q+1
     110: 1
     111: 1
     112: q+1
     113: q+1
     114: 1
     115: 1
     116: q+1
     117: 1
     118: q+1
     119: q+1
     120: 2q+1
     121: 1
     122: 2q+1
     123: q+1
     124: 1
     125: 1
     126: q+1
     127: 1
     128: q+1
     129: 1
     130: 1
     132: 1
     134: 1
     135: q+1
     136: 1
     137: q+1
     138: 1
     139: 1
     140: 1
     141: q+1
     142: q+1
     143: 2q+1
     144: 1
     145: 1
     146: 1
     147: q+1
     148: 1
     149: q+1
     150: 1
     152: 1
     154: 1
     156: 1
     157: 1
     158: 1
     159: 1
     161: 1
     162: 1
     163: q+1
     164: 1
     165: 1
     166: 1
     167: 1
     168: 1
     169: 1
     170: 1
     171: 1
     173: 1
     177: 1
     178: 1
     179: q+1
     180: 1
     181: q+1
     182: 1
     183: 1
     185: 1
     187: 1
     189: 1
     190: 1
     191: 1
     192: q+1
     193: 1
     194: 1
     195: 1
     196: 1
     197: 1
     198: 1
     199: 1
     200: 1
     205: 1
     211: 1
     213: 1
     215: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: q+1
     230: 1
     232: 1
     238: 1
     240: 1
     241: 1
     246: 1
     248: 1
     250: 1
     258: 1
     260: 1
     261: 1
     262: 1
     263: 1
     268: 1
     282: 1
     283: 1
     285: 1
     287: 1
     294: 1
     296: 1
     302: 1
     316: 1
     327: 1
     333: 1
     352: 1
     363: 1
     422: 1

423:   0: 1
       1: 1
       3: 1
       4: 1
       5: q+1
       6: 1
       7: 1
       9: 1
      10: q+1
      11: q+1
      12: q+1
      13: 1
      14: 2q+1
      15: q+1
      16: q+1
      17: 2q+1
      18: 1
      19: 1
      20: 1
      21: 1
      22: 1
      23: q+1
      24: 1
      25: 1
      26: 1
      27: 1
      28: 1
      29: 1
      30: 2q+1
      31: 1
      34: 1
      35: q+1
      36: 1
      37: 1
      38: 1
      39: 1
      40: 1
      41: q+1
      42: 1
      43: q+1
      44: 1
      45: 1
      47: q+1
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: q+1
      62: 1
      65: 1
      66: 1
      67: q+1
      68: 1
      70: 1
      72: q+1
      73: 1
      74: 1
      75: 1
      76: 1
      78: q+1
      79: 1
      80: 1
      81: 1
      82: q+1
      83: 1
      84: q+1
      85: 1
      86: 1
      89: 1
      90: 1
      91: 1
      92: 1
      94: 1
      95: 1
      96: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     106: q+1
     110: 1
     111: 1
     115: 1
     117: 1
     119: 1
     121: q+1
     122: 1
     123: 1
     125: 1
     127: q+1
     128: 1
     129: 1
     130: 1
     132: 1
     134: 1
     139: 1
     140: 1
     141: 1
     146: 1
     152: 1
     154: 1
     156: 1
     157: 1
     158: 1
     159: 1
     162: 1
     164: 1
     166: 1
     168: 1
     172: 1
     174: q+1
     175: 1
     176: 1
     178: 1
     180: q+1
     181: 1
     182: 1
     185: 1
     187: 1
     189: 1
     195: 1
     203: 1
     204: 1
     207: 1
     209: 1
     213: 1
     215: 1
     219: 1
     220: 1
     231: 1
     233: q+1
     234: 1
     235: 1
     237: 1
     239: 1
     244: 1
     246: 1
     266: 1
     267: 1
     270: 1
     272: 1
     284: 1
     297: 1
     299: 1
     301: 1
     303: 1
     310: 1
     331: 1
     345: 1
     364: 1
     423: 1

424:   0: 3q+1
       1: 3q+1
       2: q^2+2q+1
       3: q^2+3q+1
       4: 3q+1
       5: q^2+2q+1
       6: q^2+3q+1
       7: 3q+1
       8: q^2+2q+1
       9: 2q^2+4q+1
      10: q+1
      11: q^2+2q+1
      12: q+1
      13: 2q^2+4q+1
      14: 1
      15: 2q^2+3q+1
      16: 2q^2+3q+1
      17: 1
      18: 2q+1
      19: 2q+1
      20: 2q+1
      21: q+1
      22: 2q+1
      23: 1
      24: q^2+3q+1
      25: 2q+1
      26: 3q+1
      27: q^2+3q+1
      28: 3q+1
      29: 2q^2+4q+1
      30: 1
      31: 2q+1
      32: 2q+1
      33: 2q+1
      34: q+1
      35: 1
      36: q^2+3q+1
      37: 2q+1
      38: 2q+1
      39: 2q+1
      40: 3q+1
      41: q+1
      42: 3q+1
      43: q^2+2q+1
      44: 3q+1
      45: 3q+1
      46: q^2+2q+1
      47: q^2+2q+1
      48: 1
      49: 2q+1
      50: q+1
      51: 2q+1
      52: 2q+1
      53: 3q+1
      54: 2q+1
      55: 3q+1
      56: 2q+1
      57: 2q+1
      58: q+1
      59: 2q+1
      60: q^2+3q+1
      61: 1
      62: 2q+1
      63: 2q+1
      64: 2q+1
      65: q+1
      66: q^2+3q+1
      67: 1
      68: 2q+1
      69: q+1
      70: 1
      71: 2q+1
      72: 1
      73: 2q+1
      74: q+1
      75: 2q+1
      76: 2q+1
      78: q+1
      79: 2q+1
      80: 2q+1
      81: 3q+1
      82: q+1
      83: 3q+1
      84: q^2+2q+1
      85: 1
      86: 2q+1
      87: 1
      88: q+1
      89: q+1
      90: 2q+1
      91: 1
      92: q+1
      94: q+1
      95: 2q+1
      96: 2q+1
      97: 2q+1
      98: q+1
      99: 2q+1
     100: 2q+1
     101: 3q+1
     102: 2q+1
     104: 2q+1
     106: q+1
     108: q+1
     109: q+1
     110: 1
     111: 1
     112: q+1
     113: q+1
     114: q+1
     115: 1
     117: 1
     118: q+1
     119: 1
     120: 2q+1
     121: 1
     122: 2q+1
     123: q+1
     124: q+1
     125: 1
     126: 2q+1
     127: 1
     128: 2q+1
     129: q+1
     130: q+1
     132: 2q+1
     134: 1
     135: q+1
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     141: q+1
     142: 1
     143: q+1
     146: q+1
     147: q+1
     148: 1
     149: q+1
     150: q+1
     152: 1
     154: 1
     156: 1
     157: q+1
     158: q+1
     159: 2q+1
     161: q+1
     162: 1
     164: 1
     167: q+1
     169: 1
     170: 1
     172: 1
     174: 1
     175: q+1
     176: 1
     177: q+1
     178: 1
     179: 2q+1
     180: 1
     181: 2q+1
     182: q+1
     183: 1
     185: 1
     187: q+1
     189: 1
     190: 1
     191: 1
     192: 1
     193: 1
     196: 1
     198: 1
     203: 1
     204: 1
     207: 1
     209: 1
     211: q+1
     213: 1
     215: 1
     217: 1
     218: 1
     219: 1
     220: q+1
     221: 1
     222: q+1
     231: 1
     233: 1
     234: q+1
     235: 1
     238: q+1
     240: 1
     241: 1
     244: 1
     246: 1
     248: 1
     250: 1
     258: 1
     261: 1
     266: 1
     267: 1
     270: 1
     272: 1
     282: 1
     283: 1
     285: 1
     287: 1
     295: 1
     298: 1
     304: 1
     305: 1
     310: 1
     316: 1
     329: 1
     346: 1
     352: 1
     365: 1
     424: 1

425:   0: 1
       1: 1
       3: 1
       4: 1
       5: q+1
       6: 1
       7: 1
       9: 1
      10: q+1
      11: q+1
      12: q+1
      13: 1
      14: 1
      15: q+1
      16: q+1
      17: 1
      18: 2q+1
      19: 2q+1
      20: 1
      21: 1
      22: 1
      23: 1
      24: 1
      25: q+1
      26: 1
      27: 1
      28: 1
      29: 1
      30: 1
      31: 2q+1
      34: 1
      35: 1
      36: 1
      37: q+1
      38: 1
      39: 1
      40: 1
      41: q+1
      42: 1
      43: q+1
      44: 1
      45: 1
      47: q+1
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: q+1
      65: 1
      66: 1
      67: 1
      68: q+1
      70: 1
      72: 1
      73: 1
      74: q+1
      75: 1
      76: 1
      78: q+1
      79: 1
      80: 1
      81: 1
      82: q+1
      83: 1
      84: q+1
      85: 1
      86: 1
      89: 1
      90: 1
      91: 1
      92: 1
      94: 1
      95: 1
      96: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     106: q+1
     112: 1
     113: 1
     115: 1
     117: 1
     119: 1
     121: 1
     122: 1
     123: q+1
     125: 1
     127: 1
     128: 1
     129: q+1
     130: 1
     132: 1
     135: 1
     139: 1
     140: 1
     141: 1
     146: 1
     152: 1
     154: 1
     156: 1
     157: 1
     158: 1
     159: 1
     162: 1
     164: 1
     169: 1
     170: 1
     172: 1
     174: 1
     175: 1
     176: q+1
     178: 1
     180: 1
     181: 1
     182: q+1
     185: 1
     187: 1
     189: 1
     196: 1
     203: 1
     204: 1
     207: 1
     209: 1
     213: 1
     215: 1
     219: 1
     220: 1
     231: 1
     233: 1
     234: 1
     235: q+1
     240: 1
     241: 1
     244: 1
     246: 1
     266: 1
     267: 1
     270: 1
     272: 1
     285: 1
     297: 1
     299: 1
     304: 1
     305: 1
     310: 1
     331: 1
     346: 1
     366: 1
     425: 1

426:   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: q^2+2q+1
      10: 3q+1
      11: q^2+2q+1
      12: 3q+1
      13: 3q+1
      14: 3q+1
      15: 3q+1
      16: 3q+1
      17: q^2+2q+1
      18: 3q+1
      19: q^2+2q+1
      20: q^2+2q+1
      21: 3q+1
      22: q^2+2q+1
      23: 3q+1
      24: 3q+1
      25: 3q+1
      26: q+1
      27: 2q+1
      28: q+1
      29: 2q+1
      30: 2q+1
      31: 2q+1
      32: q+1
      33: q+1
      34: 3q+1
      35: 3q+1
      36: 3q+1
      37: 3q+1
      38: q+1
      39: 2q+1
      40: q+1
      41: 2q+1
      42: 2q+1
      43: 2q+1
      44: q+1
      45: q^2+2q+1
      46: q+1
      47: q^2+2q+1
      48: 3q+1
      49: 3q+1
      50: 2q+1
      51: 2q+1
      52: q+1
      53: q+1
      54: q^2+2q+1
      55: q+1
      56: q+1
      57: q+1
      58: 2q+1
      59: q+1
      60: 2q+1
      61: 2q+1
      62: 2q+1
      63: q+1
      64: q+1
      65: 2q+1
      66: 2q+1
      67: 2q+1
      68: 2q+1
      69: q+1
      70: 2q+1
      71: q+1
      72: 2q+1
      73: 2q+1
      74: 2q+1
      75: q+1
      76: 2q+1
      78: 2q+1
      79: q+1
      80: 2q+1
      81: q+1
      82: 2q+1
      83: 2q+1
      84: 2q+1
      85: q+1
      86: q+1
      87: q+1
      88: q+1
      89: q+1
      90: q+1
      91: 2q+1
      92: 2q+1
      94: 2q+1
      95: q+1
      96: q+1
      97: q+1
      98: 2q+1
      99: 2q+1
     100: q+1
     101: q+1
     102: q+1
     104: 2q+1
     106: 2q+1
     108: q+1
     109: q+1
     110: 2q+1
     111: 2q+1
     112: 2q+1
     113: 2q+1
     114: q+1
     115: 2q+1
     117: 2q+1
     118: 1
     119: 1
     120: 1
     121: q+1
     122: 1
     123: q+1
     124: q+1
     125: 2q+1
     126: q+1
     127: 2q+1
     128: 2q+1
     129: 2q+1
     130: 2q+1
     132: q+1
     134: q+1
     135: q+1
     136: q+1
     137: q+1
     138: q+1
     139: 2q+1
     140: 1
     141: 1
     142: 1
     143: 1
     146: q+1
     147: q+1
     148: q+1
     149: q+1
     150: q+1
     152: 2q+1
     154: 2q+1
     156: 2q+1
     157: 2q+1
     158: q+1
     159: q+1
     161: 1
     162: 1
     164: q+1
     165: 1
     166: 1
     167: 1
     168: q+1
     169: 1
     170: q+1
     172: q+1
     174: q+1
     175: q+1
     176: q+1
     177: 1
     178: 1
     179: 1
     180: q+1
     181: 1
     182: q+1
     183: q+1
     185: 2q+1
     187: q+1
     189: 1
     190: 1
     191: 1
     192: 1
     193: q+1
     195: 1
     196: 1
     197: 1
     198: 1
     203: q+1
     204: q+1
     207: q+1
     209: q+1
     211: 1
     213: 1
     215: q+1
     217: q+1
     218: q+1
     219: 1
     220: 1
     221: 1
     222: 1
     226: 1
     227: 1
     229: q+1
     231: 1
     233: 1
     234: 1
     235: 1
     236: 1
     237: 1
     238: 1
     239: q+1
     240: 1
     241: q+1
     244: q+1
     246: 1
     248: 1
     250: q+1
     256: 1
     257: 1
     258: 1
     260: 1
     261: 1
     266: 1
     267: 1
     270: 1
     272: 1
     276: 1
     278: 1
     280: q+1
     282: 1
     283: 1
     284: 1
     285: 1
     286: 1
     287: 1
     295: 1
     297: 1
     298: 1
     299: 1
     301: 1
     303: 1
     304: 1
     305: 1
     310: 1
     312: 1
     314: 1
     316: 1
     324: 1
     325: 1
     326: 1
     329: 1
     331: 1
     341: 1
     343: 1
     345: 1
     346: 1
     351: 1
     352: 1
     362: 1
     364: 1
     365: 1
     366: 1
     367: 1
     375: 1
     377: 1
     395: 1
     397: 1
     399: 1
     400: 1
     426: 1

427:   6: q^2
      10: q^2
      12: q^2
      13: q^2
      14: q^2
      15: q^2
      16: q^2
      17: q^3+q^2
      18: q^2
      19: q^3+q^2
      21: q^2
      23: q^2
      24: q^2
      25: q^2
      30: q^2
      31: q^2
      34: q^2
      35: q^2
      36: q^2
      37: q^2
      48: q^2
      49: q^2
      61: q^2
      62: q^2
      67: q^2
      68: q^2
      76: q
      78: q
      94: q
     105: q
     107: q
     111: q^2
     113: q^2
     115: q
     117: q
     131: q
     139: q
     153: q
     155: q
     161: 1
     162: 1
     164: q+1
     186: q
     189: 1
     190: 1
     212: 1
     214: 1
     216: q+1
     226: 1
     227: 1
     229: q+1
     247: 1
     249: 1
     256: 1
     257: 1
     258: 1
     271: 1
     273: 1
     277: 1
     279: 1
     281: q+1
     311: 1
     313: 1
     315: 1
     317: 1
     324: 1
     330: 1
     332: 1
     342: 1
     344: 1
     368: 1
     376: 1
     378: 1
     396: 1
     398: 1
     427: 1

428:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       5: q^2+1
       6: q+1
       7: q+1
       8: q+1
       9: q+1
      10: q^2+1
      11: q^2+1
      12: q+1
      13: q+1
      14: q^2+1
      15: q^2+1
      16: q+1
      17: q^2+1
      18: q^2+1
      19: q^2+1
      20: 1
      21: 1
      22: 1
      23: 1
      24: 1
      25: 1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      30: q^2+1
      31: q^2+1
      32: q+1
      33: q+1
      34: q+1
      35: q^2+1
      36: q+1
      37: q^2+1
      38: q+1
      39: q+1
      40: q+1
      41: q^2+1
      42: q+1
      43: q^2+1
      44: 1
      45: 1
      46: 1
      47: q^2+1
      48: 1
      49: 1
      50: 1
      51: 1
      52: q+1
      53: q+1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: 1
      63: q+1
      64: q+1
      65: q+1
      66: q+1
      67: q^2+1
      68: q^2+1
      69: q+1
      70: q+1
      71: q+1
      72: q^2+1
      73: q+1
      74: q^2+1
      75: 1
      76: 1
      77: 1
      78: q^2+1
      79: 1
      80: 1
      81: 1
      82: 1
      83: 1
      84: 1
      85: 1
      86: 1
      87: q+1
      88: q+1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     106: 1
     108: 1
     109: 1
     110: 1
     111: 1
     112: 1
     113: 1
     114: 1
     115: 1
     116: 1
     117: q^2+1
     118: q+1
     119: q+1
     120: q+1
     121: q^2+1
     122: q+1
     123: q^2+1
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     132: 1
     134: 1
     135: 1
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     142: q+1
     143: q+1
     144: 1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     152: 1
     154: 1
     156: 1
     157: 1
     158: 1
     159: 1
     161: 1
     162: 1
     163: 1
     164: q^2+1
     165: 1
     166: 1
     167: 1
     168: 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
     185: 1
     187: 1
     189: 1
     190: 1
     191: 1
     192: 1
     193: 1
     194: 1
     195: 1
     196: 1
     197: 1
     198: 1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     207: 1
     209: 1
     211: 1
     213: 1
     215: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     230: 1
     231: 1
     232: 1
     233: 1
     234: 1
     235: 1
     242: 1
     244: 1
     246: 1
     248: 1
     250: 1
     258: 1
     260: 1
     261: 1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     267: 1
     268: 1
     270: 1
     272: 1
     274: 1
     275: 1
     282: 1
     283: 1
     294: 1
     295: 1
     296: 1
     297: 1
     298: 1
     299: 1
     306: 1
     308: 1
     310: 1
     316: 1
     325: 1
     326: 1
     327: 1
     329: 1
     331: 1
     333: 1
     335: 1
     336: 1
     337: 1
     338: 1
     367: 1
     369: 1
     371: 1
     402: 1
     403: 1
     428: 1

429:   1: q^3+q^2
       5: q^2
       6: q^3+q^2
       7: q^3+q^2
      10: q^2
      11: q^2
      12: q^3+q^2
      13: q^3+q^2
      14: q^2
      15: q^2
      16: q^3+q^2
      17: q^3+q^2
      18: q^2
      19: q^3+q^2
      20: q^2
      21: q^2
      22: q^2
      23: q^2
      24: q^2
      25: q^2
      30: q^2
      31: q^2
      34: q^3+q^2
      35: q^2
      36: q^3+q^2
      37: q^2
      39: q^3+q^2
      41: q^2
      42: q^3+q^2
      43: q^2
      45: q^2
      47: q^2
      48: q^2
      49: q^2
      50: q^2
      51: q^2
      54: q^2
      61: q^2
      62: q^2
      67: q^2
      68: q^2
      70: q^3+q^2
      72: q^2
      73: q^3+q^2
      74: q^2
      76: q^2
      78: q^2
      91: q^2
      92: q^2
      94: q^2
     111: q^2
     113: q^2
     115: q^2
     117: q^2
     121: q^2
     123: q^2
     139: q^2
     161: 1
     162: 1
     163: 1
     164: q^2+1
     168: q^2
     170: q^2
     189: 1
     190: 1
     194: 1
     212: 1
     214: 1
     216: 1
     247: 1
     249: 1
     258: 1
     262: 1
     269: 1
     271: 1
     273: 1
     307: 1
     311: 1
     317: 1
     328: 1
     330: 1
     332: 1
     333: 1
     368: 1
     370: 1
     372: 1
     429: 1

430:   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^2+2q+1
      10: q+1
      11: q+1
      12: q+1
      13: q+1
      14: q+1
      15: q+1
      16: q+1
      18: 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
      32: q^2+2q+1
      33: q^2+2q+1
      34: q+1
      35: q+1
      36: q+1
      37: q+1
      38: q^2+2q+1
      39: q+1
      40: q^2+2q+1
      41: q+1
      42: q+1
      43: q+1
      44: q+1
      45: 1
      46: q+1
      47: 1
      48: q+1
      49: q+1
      50: q+1
      51: q+1
      52: q+1
      53: q+1
      54: 1
      55: 1
      56: q+1
      57: q+1
      58: q+1
      59: q+1
      60: q+1
      63: q+1
      64: q+1
      65: q+1
      66: q+1
      69: q^2+2q+1
      70: q+1
      71: q^2+2q+1
      72: q+1
      73: q+1
      74: q+1
      75: q+1
      76: 1
      77: q+1
      78: 1
      79: q+1
      80: 1
      81: q+1
      82: 1
      83: 1
      84: 1
      87: q+1
      88: q+1
      89: q+1
      90: q+1
      91: q+1
      92: q+1
      93: q+1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: q+1
     104: 1
     106: 1
     108: q+1
     109: q+1
     110: q+1
     112: q+1
     114: q+1
     115: 1
     116: q+1
     117: 1
     118: q+1
     119: q+1
     120: q+1
     122: q+1
     124: q+1
     125: 1
     126: q+1
     127: 1
     128: 1
     129: 1
     130: 1
     132: 1
     136: q+1
     137: q+1
     138: 1
     139: 1
     142: q+1
     143: q+1
     144: q+1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: q+1
     152: 1
     154: 1
     156: 1
     157: 1
     158: 1
     159: 1
     161: 1
     162: 1
     163: 1
     165: q+1
     166: q+1
     167: q+1
     169: q+1
     171: q+1
     172: 1
     173: q+1
     174: 1
     175: 1
     176: 1
     177: 1
     178: 1
     179: 1
     181: 1
     183: 1
     185: 1
     187: 1
     190: 1
     193: 1
     194: 1
     197: q+1
     198: q+1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: q+1
     207: 1
     209: 1
     211: 1
     213: 1
     217: 1
     218: 1
     221: 1
     222: 1
     226: 1
     227: 1
     228: 1
     230: 1
     231: 1
     232: 1
     234: 1
     236: 1
     237: 1
     238: 1
     240: 1
     242: 1
     244: 1
     248: 1
     250: 1
     257: 1
     259: 1
     262: 1
     263: 1
     264: 1
     265: 1
     268: 1
     270: 1
     274: 1
     275: 1
     276: 1
     278: 1
     286: 1
     287: 1
     294: 1
     295: 1
     296: 1
     298: 1
     300: 1
     301: 1
     302: 1
     304: 1
     306: 1
     308: 1
     314: 1
     327: 1
     329: 1
     334: 1
     335: 1
     336: 1
     339: 1
     341: 1
     347: 1
     348: 1
     361: 1
     362: 1
     363: 1
     365: 1
     369: 1
     373: 1
     393: 1
     395: 1
     404: 1
     405: 1
     430: 1

431:   1: q^2
       5: q^2
       6: q^2
       7: q^2
      10: q^2
      11: q^2
      12: q^2
      13: q^2
      14: q^2
      15: q^2
      16: q^2
      18: q^2
      20: q^2
      21: q^2
      22: q^2
      23: q^2
      24: q^2
      25: q^2
      34: q^2
      35: q^2
      36: q^2
      37: q^2
      39: q^2
      41: q^2
      42: q^2
      43: q^2
      45: q^2
      47: q^2
      48: q^2
      49: q^2
      50: q^2
      51: q^2
      54: q^2
      70: q^2
      72: q^2
      73: q^2
      74: q^2
      76: q^2
      78: q^2
      91: q^2
      92: q^2
      94: q^2
     115: q^2
     117: q^2
     139: q^2
     161: 1
     162: 1
     163: 1
     190: 1
     194: 1
     212: 1
     214: 1
     226: 1
     227: 1
     228: 1
     249: 1
     257: 1
     259: 1
     262: 1
     269: 1
     271: 1
     277: 1
     279: 1
     307: 1
     315: 1
     328: 1
     330: 1
     334: 1
     340: 1
     342: 1
     370: 1
     374: 1
     394: 1
     396: 1
     431: 1

432:   0: 3q+1
       1: 3q+1
       2: q^2+2q+1
       3: 3q+1
       4: 3q+1
       5: 3q+1
       6: 3q+1
       7: 3q+1
       8: q^2+2q+1
       9: 3q+1
      10: 3q+1
      11: 3q+1
      12: q^2+2q+1
      13: 3q+1
      14: q^2+2q+1
      15: 3q+1
      16: q^2+2q+1
      17: q^2+2q+1
      18: q^2+2q+1
      19: q^2+2q+1
      20: 3q+1
      21: 3q+1
      22: 3q+1
      23: q^2+2q+1
      24: 3q+1
      25: q^2+2q+1
      26: 3q+1
      27: 3q+1
      28: 3q+1
      29: 3q+1
      30: q^2+2q+1
      31: q^2+2q+1
      32: 2q+1
      33: 2q+1
      34: 2q+1
      35: 2q+1
      36: 2q+1
      37: 2q+1
      38: 3q+1
      39: 3q+1
      40: 3q+1
      41: 3q+1
      42: 3q+1
      43: 3q+1
      44: 2q+1
      45: 2q+1
      46: q+1
      47: 2q+1
      48: 2q+1
      49: 2q+1
      50: 3q+1
      51: 3q+1
      52: 3q+1
      53: 3q+1
      54: 2q+1
      55: 2q+1
      56: q+1
      57: 3q+1
      58: 3q+1
      59: 3q+1
      60: 3q+1
      61: q^2+2q+1
      62: q^2+2q+1
      63: 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+1
      78: 2q+1
      79: q+1
      80: q+1
      81: q+1
      82: q+1
      83: q+1
      84: q+1
      85: 2q+1
      86: 2q+1
      87: q+1
      88: q+1
      89: 3q+1
      90: 3q+1
      91: 2q+1
      92: 2q+1
      93: q+1
      94: 2q+1
      95: 2q+1
      96: 2q+1
      97: q+1
      98: q+1
      99: q+1
     100: q+1
     101: q+1
     102: q+1
     104: q+1
     106: q+1
     108: 2q+1
     109: 2q+1
     110: 2q+1
     111: 2q+1
     112: 2q+1
     113: 2q+1
     114: 1
     115: q+1
     116: 1
     117: q+1
     118: 2q+1
     119: 2q+1
     120: 2q+1
     121: 2q+1
     122: 2q+1
     123: 2q+1
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: q+1
     132: q+1
     134: 2q+1
     135: 2q+1
     136: q+1
     137: q+1
     138: 1
     139: q+1
     140: 2q+1
     141: 2q+1
     142: q+1
     143: q+1
     144: 1
     145: q+1
     146: 2q+1
     147: q+1
     148: 1
     149: 1
     150: 1
     152: 1
     154: 1
     156: 1
     157: 1
     158: q+1
     159: q+1
     161: 1
     162: q+1
     163: 1
     164: q+1
     165: 2q+1
     166: 2q+1
     167: 2q+1
     168: 2q+1
     169: 2q+1
     170: 2q+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
     185: 1
     187: q+1
     189: q+1
     190: 1
     191: q+1
     192: q+1
     193: 1
     194: 1
     195: 2q+1
     196: 2q+1
     197: q+1
     198: q+1
     199: 1
     200: q+1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     207: 1
     209: 1
     211: 1
     213: 1
     215: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     226: 1
     227: q+1
     228: 1
     229: q+1
     230: 1
     231: 1
     232: 1
     233: 1
     234: 1
     235: 1
     236: 1
     237: 1
     238: 1
     239: 1
     240: 1
     241: 1
     242: 1
     244: 1
     246: 1
     248: 1
     250: 1
     256: q+1
     257: 1
     258: 1
     259: 1
     260: q+1
     261: q+1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     267: 1
     268: 1
     270: 1
     272: 1
     274: 1
     275: 1
     276: 1
     278: 1
     280: 1
     282: 1
     283: 1
     284: 1
     285: 1
     286: 1
     287: 1
     300: 1
     301: 1
     302: 1
     303: 1
     304: 1
     305: 1
     306: 1
     308: 1
     310: 1
     312: 1
     314: 1
     316: 1
     324: 1
     333: 1
     334: 1
     337: 1
     338: 1
     339: 1
     341: 1
     343: 1
     345: 1
     346: 1
     347: 1
     348: 1
     351: 1
     352: 1
     371: 1
     373: 1
     375: 1
     377: 1
     401: 1
     406: 1
     407: 1
     432: 1

433:   0: q
       1: q
       3: q
       4: q
       5: q
       6: q
       7: q
       9: q
      10: q
      11: q
      12: q^2+q
      13: q
      14: q^2+q
      15: q
      16: q^2+q
      17: q^2+q
      18: q^2+q
      19: q^2+q
      20: q
      21: q
      22: q
      23: q^2+q
      24: q
      25: q^2+q
      26: q
      27: q
      28: q
      29: q
      30: q^2+q
      31: q^2+q
      34: q
      35: q
      36: q
      37: q
      38: q
      39: q
      40: q
      41: q
      42: q
      43: q
      44: q
      45: q
      47: q
      48: q
      49: q
      50: q
      51: q
      52: q
      53: q
      54: q
      55: q
      57: q
      58: q
      59: q
      60: q
      61: q^2+q
      62: q^2+q
      65: q
      66: q
      67: q
      68: q
      70: q
      72: q
      73: q
      74: q
      75: q
      76: q
      78: q
      85: q
      86: q
      89: q
      90: q
      91: q
      92: q
      94: q
      95: q
      96: q
     110: q
     111: q
     112: q
     113: q
     114: 1
     115: q+1
     116: 1
     117: q+1
     119: q
     121: q
     122: q
     123: q
     134: q
     135: q
     138: 1
     139: q+1
     140: q
     141: q
     144: 1
     146: q
     151: 1
     153: 1
     155: 1
     161: 1
     162: q+1
     163: 1
     164: q+1
     166: q
     168: q
     169: q
     170: q
     184: 1
     186: 1
     189: q+1
     190: 1
     193: 1
     194: 1
     195: q
     196: q
     199: 1
     206: 1
     208: 1
     210: 1
     212: 1
     214: 1
     216: 1
     226: 1
     227: q+1
     228: 1
     229: q+1
     243: 1
     245: 1
     247: 1
     249: 1
     251: 1
     256: q+1
     257: 1
     258: 1
     259: 1
     262: 1
     263: 1
     269: 1
     271: 1
     273: 1
     277: 1
     279: 1
     281: 1
     307: 1
     309: 1
     311: 1
     313: 1
     315: 1
     317: 1
     324: 1
     333: 1
     334: 1
     340: 1
     342: 1
     344: 1
     372: 1
     374: 1
     376: 1
     378: 1
     401: 1
     433: 1

434:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       6: q+1
       7: q+1
       8: q+1
       9: q+1
      12: q+1
      13: q+1
      16: q+1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      32: q+1
      33: q+1
      34: q+1
      36: q+1
      38: q+1
      39: q+1
      40: q+1
      42: q+1
      44: q+1
      45: q+1
      46: q+1
      52: q+1
      53: q+1
      55: q+1
      56: q+1
      63: q+1
      64: q+1
      65: q+1
      66: q+1
      69: q+1
      70: q+1
      71: q+1
      73: q+1
      75: q+1
      76: q+1
      77: q+1
      79: 1
      80: 1
      81: 1
      83: 1
      87: q+1
      88: q+1
      93: q+1
      95: q+1
      97: q+1
     100: 1
     101: 1
     102: 1
     104: 1
     114: q+1
     115: q+1
     116: q+1
     118: q+1
     119: q+1
     120: q+1
     122: q+1
     124: 1
     125: 1
     126: 1
     128: 1
     132: 1
     138: q+1
     142: q+1
     143: q+1
     144: q+1
     145: q+1
     148: 1
     149: 1
     150: 1
     152: 1
     160: 1
     161: q+1
     162: q+1
     163: q+1
     171: 1
     172: 1
     173: 1
     175: 1
     177: 1
     178: 1
     179: 1
     181: 1
     183: 1
     190: q+1
     194: q+1
     199: q+1
     201: 1
     202: 1
     205: 1
     207: 1
     211: 1
     213: 1
     221: 1
     222: 1
     223: 1
     224: 1
     225: 1
     230: 1
     231: 1
     232: 1
     234: 1
     242: 1
     248: 1
     252: 1
     262: q+1
     268: 1
     270: 1
     274: 1
     275: 1
     288: 1
     289: 1
     293: 1
     294: 1
     295: 1
     296: 1
     298: 1
     306: 1
     320: 1
     327: 1
     329: 1
     335: 1
     336: 1
     349: 1
     350: 1
     353: 1
     369: 1
     379: 1
     409: 1
     410: 1
     434: 1

435:   0: 2q^2+2q
       1: 2q^2+2q
       2: q^3+3q^2+2q
       3: 2q^2+2q
       4: 2q^2+2q
       6: 2q^2+2q
       7: 2q^2+2q
       8: q^3+3q^2+2q
       9: 2q^2+2q
      12: q^2+q
      13: 2q^2+2q
      16: q^2+q
      26: 2q^2+2q
      27: 2q^2+2q
      28: 2q^2+2q
      29: 2q^2+2q
      32: 2q^2+2q
      33: 2q^2+2q
      34: q^2+q
      36: q^2+q
      38: 2q^2+2q
      39: 2q^2+2q
      40: 2q^2+2q
      42: 2q^2+2q
      44: q^2+2q
      45: q^2+2q
      46: 2q^2+2q
      52: 2q^2+2q
      53: 2q^2+2q
      55: q^2+2q
      56: q^2+2q
      63: 2q^2+2q
      64: 2q^2+2q
      65: q^2+q
      66: q^2+q
      69: 2q^2+2q
      70: q^2+q
      71: 2q^2+2q
      73: q^2+q
      75: q^2+2q
      76: q^2+2q
      77: 2q^2+2q
      79: 2q
      80: 2q
      81: 2q
      83: 2q
      87: q^2+q
      88: q^2+q
      93: q^2+2q
      95: q^2+2q
      97: q^2+2q
     100: 2q
     101: 2q
     102: 2q
     104: 2q
     114: q
     116: q
     118: 2q^2+2q
     119: q^2+q
     120: 2q^2+2q
     122: q^2+q
     124: 2q
     125: q
     126: 2q
     128: q
     132: 2q
     142: q^2+q
     143: q^2+q
     144: q
     145: q^2+2q
     148: q
     149: q
     150: q
     160: q
     161: q
     163: q
     171: 2q
     172: q
     173: 2q
     175: q
     177: 2q
     178: q
     179: 2q
     181: q
     194: q
     201: q
     202: q
     205: q
     211: q
     221: q
     222: q
     223: q
     225: q
     230: 2q
     231: q
     232: 2q
     234: q
     268: q
     274: q
     275: q
     293: q
     294: 1
     295: 1
     296: 1
     298: 1
     327: 1
     329: 1
     335: 1
     336: 1
     350: 1
     369: 1
     380: 1
     410: 1
     435: 1

436:   0: q^2+q
       1: q^2+q
       2: q^2+q
       3: q^2+q
       4: q^2+q
       6: q^2+q
       7: q^2+q
       8: q^2+q
       9: q^2+q
      12: q^2+q
      13: q^2+q
      16: q^2+q
      26: q
      27: q
      28: q
      29: q
      32: q^2+q
      33: q^2+q
      34: q^2+q
      36: q^2+q
      38: q^2+q
      39: q^2+q
      40: q^2+q
      42: q^2+q
      44: q^2+q
      45: q^2+q
      46: q^2+q
      52: q
      53: q
      55: q
      56: q^2+q
      63: q
      64: q
      65: q
      66: q
      69: q^2+q
      70: q^2+q
      71: q^2+q
      73: q^2+q
      75: q^2+q
      76: q^2+q
      77: q^2+q
      79: q
      80: q
      81: q
      83: q
      87: q
      88: q
      93: q^2+q
      95: q
      97: q
     100: q
     101: q
     102: q
     104: q
     114: q^2+q
     115: q^2+q
     116: q^2+q
     118: q
     119: q
     120: q
     122: q
     124: q
     125: q
     126: q
     128: q
     132: q
     138: q
     142: q
     143: q
     144: q^2+q
     145: q
     148: q
     149: q
     150: q
     152: q
     160: q
     161: q+1
     162: q+1
     163: q+1
     171: q
     172: q
     173: q
     175: q
     183: q
     190: q+1
     194: q+1
     199: q
     201: q
     202: q
     205: q
     207: q
     212: 1
     214: 1
     224: q
     225: q
     242: q
     249: 1
     252: q
     262: q+1
     269: 1
     271: 1
     289: 1
     307: 1
     322: 1
     328: 1
     330: 1
     353: 1
     370: 1
     381: 1
     409: 1
     436: 1

437:   1: q^3
       6: q^3
       7: q^3
      13: q^3
      39: q^3
      42: q^3
      45: q^3
      76: q^3
     161: q
     163: q
     194: q
     212: q
     269: q
     328: 1
     330: 1
     370: 1
     382: 1
     437: 1

438:   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: q+1
      10: 1
      11: q+1
      12: 1
      13: 1
      14: 1
      15: 1
      16: 1
      18: 1
      20: q+1
      21: 1
      22: q+1
      23: 1
      24: 1
      25: 1
      26: q+1
      27: 1
      28: q+1
      29: 1
      32: q^2+2q+1
      33: q^2+2q+1
      34: 1
      35: 1
      36: 1
      37: 1
      38: q+1
      39: 1
      40: q+1
      41: 1
      42: 1
      43: 1
      44: q^2+2q+1
      45: q+1
      46: q^2+2q+1
      47: q+1
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: q+1
      55: q+1
      56: q^2+2q+1
      57: q+1
      58: 1
      59: q+1
      60: 1
      63: q+1
      64: q+1
      65: 1
      66: 1
      69: q+1
      70: 1
      71: q+1
      72: 1
      73: 1
      74: 1
      75: q+1
      76: 1
      77: q^2+2q+1
      78: 1
      79: q+1
      80: 1
      81: q+1
      82: 1
      83: 1
      84: 1
      87: 1
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: q+1
      94: 1
      95: 1
      96: q+1
      97: q+1
      98: 1
      99: 1
     100: 1
     101: 1
     102: q+1
     104: 1
     106: 1
     108: q+1
     109: q+1
     110: 1
     112: 1
     114: q+1
     115: 1
     116: q^2+2q+1
     117: 1
     118: 1
     119: 1
     120: 1
     122: 1
     124: q+1
     125: 1
     126: q+1
     127: 1
     128: 1
     129: 1
     130: 1
     132: 1
     136: 1
     137: 1
     138: 1
     139: 1
     142: 1
     143: 1
     144: q+1
     145: 1
     146: 1
     147: q+1
     148: 1
     149: 1
     150: q+1
     152: 1
     154: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: q+1
     161: 1
     162: 1
     163: q+1
     165: 1
     166: 1
     167: 1
     169: 1
     171: q+1
     173: q+1
     177: 1
     178: 1
     179: 1
     181: 1
     183: 1
     185: 1
     187: 1
     190: 1
     193: 1
     194: 1
     197: 1
     198: 1
     199: 1
     200: 1
     205: q+1
     211: 1
     213: 1
     217: 1
     218: 1
     221: 1
     222: 1
     223: 1
     224: q+1
     225: q+1
     226: 1
     227: 1
     228: q+1
     230: 1
     232: 1
     236: 1
     237: 1
     238: 1
     240: 1
     248: 1
     250: 1
     252: q+1
     257: 1
     259: 1
     262: 1
     263: 1
     268: 1
     276: 1
     278: 1
     286: 1
     287: 1
     288: 1
     289: 1
     290: 1
     293: 1
     294: 1
     296: 1
     300: 1
     302: 1
     314: 1
     320: 1
     327: 1
     334: 1
     339: 1
     350: 1
     353: 1
     354: 1
     355: 1
     358: 1
     361: 1
     363: 1
     379: 1
     387: 1
     393: 1
     411: 1
     413: 1
     438: 1

439:   0: q^3+3q^2+2q
       1: q^2+2q
       2: q^3+3q^2+2q
       3: q^2+q
       4: q^3+3q^2+2q
       5: q^2+2q
       6: q
       7: q^2+2q
       8: q^3+3q^2+2q
       9: q^2+q
      10: q
      11: q^2+2q
      12: q
      13: q
      14: q
      15: q
      16: q
      18: q
      20: q^2+2q
      21: q
      22: q^2+2q
      23: q
      24: q
      25: q
      26: q^2+2q
      27: q
      28: q^2+2q
      29: q
      32: q^3+3q^2+2q
      33: q^3+3q^2+2q
      34: q
      35: q
      36: q
      37: q
      38: q^2+q
      39: q
      40: q^2+q
      41: q
      42: q
      43: q
      44: q^3+3q^2+2q
      45: q^2+2q
      46: q^3+3q^2+2q
      47: q^2+2q
      48: q
      49: q
      50: q
      51: q
      52: q
      53: q
      54: q^2+2q
      55: q^2+2q
      56: q^3+3q^2+2q
      57: q^2+2q
      58: q
      59: q^2+2q
      60: q
      63: q^2+2q
      64: q^2+2q
      65: q
      66: q
      69: q^2+q
      70: q
      71: q^2+q
      72: q
      73: q
      74: q
      77: q^2+q
      79: q^2+q
      80: q
      81: q^2+q
      82: q
      83: q
      84: q
      87: q
      88: q
      89: q
      90: q
      91: q
      92: q
      96: q^2+2q
      97: q^2+2q
      98: q
      99: q
     100: q
     101: q
     108: q^2+2q
     109: q^2+2q
     110: q
     112: q
     116: q^2+q
     118: q
     119: q
     120: q
     122: q
     124: q^2+q
     125: q
     126: q^2+q
     127: q
     128: q
     129: q
     136: q
     137: q
     142: q
     143: q
     147: q^2+2q
     148: q
     149: q
     156: q
     157: q
     158: q
     159: q
     163: q
     165: q
     166: q
     167: q
     169: q
     171: q+1
     173: q+1
     177: q
     178: q
     179: q
     181: q
     197: q
     198: q
     205: q+1
     217: q
     218: q
     221: q
     222: q
     225: q+1
     228: q
     230: 1
     232: 1
     236: q
     237: q
     238: q
     240: q
     253: q+1
     268: 1
     286: q
     287: q
     293: 1
     294: 1
     296: 1
     300: 1
     302: 1
     321: 1
     327: 1
     339: 1
     350: 1
     358: 1
     361: 1
     363: 1
     380: 1
     388: 1
     393: 1
     411: 1
     439: 1

440:   0: q
       1: q^2+q
       2: q
       3: q^2+q
       4: q
       5: q^2+q
       6: q
       7: q^2+q
       8: q
       9: q^2+q
      10: q
      11: q^2+q
      12: q
      13: q
      14: q
      15: q
      16: q
      18: q
      20: q^2+q
      21: q
      22: q^2+q
      23: q
      24: q
      25: q
      26: q
      27: q
      28: q
      29: q
      32: q
      33: q
      34: q
      35: q
      36: q
      37: q
      38: q
      39: q
      40: q
      41: q
      42: q
      43: q
      44: q
      45: q^2+q
      46: q
      47: q^2+q
      48: q
      49: q
      50: q
      51: q
      52: q
      53: q
      54: q^2+q
      55: q
      56: q
      57: q
      58: q
      59: q
      60: q
      63: q
      64: q
      65: q
      66: q
      69: q
      70: q
      71: q
      72: q
      73: q
      74: q
      75: 2q
      76: q
      77: q
      78: q
      79: q
      80: q
      81: q
      82: q
      83: q
      84: q
      87: q
      88: q
      89: q
      90: q
      91: q
      92: q
      93: q
      94: q
      95: q
      96: q
      97: q
      98: q
      99: q
     100: q
     101: q
     102: q
     103: q
     104: q
     106: q
     108: q
     109: q
     110: q
     112: q
     114: 2q
     115: q
     116: q
     117: q
     124: q
     125: q
     126: q
     127: q
     128: q
     129: q
     130: q
     132: q
     136: q
     137: q
     138: q
     139: q
     144: q
     146: q
     147: q
     148: q
     149: q
     150: q
     151: q
     152: q
     154: q
     156: q
     157: q
     158: q
     159: q
     160: q
     161: 1
     162: 1
     163: q+1
     183: q
     185: q
     187: q
     190: 1
     193: q
     194: 1
     212: 1
     214: 1
     217: q
     218: q
     224: q
     226: 1
     227: 1
     228: q+1
     249: 1
     250: q
     257: 1
     259: 1
     262: 1
     269: 1
     277: 1
     279: 1
     289: 1
     315: 1
     322: 1
     328: 1
     334: 1
     340: 1
     353: 1
     355: 1
     381: 1
     389: 1
     394: 1
     413: 1
     440: 1

441:   1: q^3
       5: q^3
       7: q^3
      11: q^3
      20: q^3
      22: q^3
      45: q^3
      47: q^3
      54: q^3
     163: q
     228: q
     269: 1
     323: 1
     328: 1
     340: 1
     382: 1
     390: 1
     394: 1
     441: 1

442:   0: 3q+1
       1: 3q+1
       2: 2q^2+3q+1
       3: q^2+2q+1
       4: 3q+1
       5: q+1
       6: q^2+2q+1
       7: 3q+1
       8: 2q^2+3q+1
       9: q^2+2q+1
      10: q^3+q^2+q+1
      11: q+1
      12: q^3+q^2+q+1
      13: q^2+2q+1
      14: q^2+1
      15: q^3+q^2+q+1
      16: q^3+q^2+q+1
      17: q^2+1
      18: q^2+1
      19: q^2+1
      20: q+1
      21: q^2+q+1
      22: q+1
      23: q^2+1
      24: q^2+q+1
      25: q^2+1
      26: 3q+1
      27: q^2+2q+1
      28: 3q+1
      29: q^2+2q+1
      30: q^2+1
      31: q^2+1
      32: 3q+1
      33: 3q+1
      34: q^2+q+1
      35: q^2+1
      36: q^2+q+1
      37: q^2+1
      38: 2q+1
      39: 2q+1
      40: 2q+1
      41: q+1
      42: 2q+1
      43: q+1
      44: 3q+1
      45: 3q+1
      46: 2q^2+3q+1
      47: q+1
      48: q^2+1
      49: q^2+1
      50: q+1
      51: q+1
      52: 2q+1
      53: 2q+1
      54: q+1
      55: 3q+1
      56: 3q+1
      57: q+1
      58: q^2+q+1
      59: q+1
      60: q^2+q+1
      61: q^2+1
      62: q^2+1
      63: 3q+1
      64: 3q+1
      65: q^2+q+1
      66: q^2+q+1
      67: q^2+1
      68: q^2+1
      69: 2q+1
      70: q+1
      71: 2q+1
      72: 1
      73: q+1
      74: 1
      75: 2q+1
      76: 2q+1
      77: q^2+2q+1
      78: q^2+2q+1
      79: 2q+1
      80: 2q+1
      81: 2q+1
      82: q+1
      83: 2q+1
      84: q+1
      85: q^2+1
      86: q^2+1
      87: q+1
      88: q+1
      89: q+1
      90: q+1
      91: 1
      92: 1
      93: q+1
      94: 2q+1
      95: 2q+1
      96: q+1
      97: 3q+1
      98: q+1
      99: q+1
     100: 2q+1
     101: 2q+1
     102: q+1
     103: q
     104: q+1
     105: q
     106: q+1
     107: q^2+q
     108: q+1
     109: q+1
     110: 1
     111: 1
     112: 1
     113: 1
     114: 1
     115: q+1
     116: q+1
     117: q+1
     118: 2q+1
     119: q+1
     120: 2q+1
     121: 1
     122: q+1
     123: 1
     124: 2q+1
     125: q+1
     126: 2q+1
     127: 1
     128: q+1
     129: 1
     130: q+1
     131: q
     132: q+1
     133: q
     134: 1
     135: 1
     136: 1
     137: 1
     138: 1
     139: q+1
     140: 1
     141: 1
     142: q+1
     143: q+1
     144: 1
     145: q+1
     146: 2q+1
     147: q+1
     148: q+1
     149: q+1
     150: 1
     152: 1
     153: q
     154: 1
     155: q
     156: 1
     157: 1
     158: q+1
     159: q+1
     160: q+1
     161: 1
     162: q+1
     163: q+1
     164: q+1
     165: q+1
     166: 1
     167: q+1
     168: 1
     169: 1
     170: 1
     171: 2
     172: 1
     173: 2
     174: 1
     175: 1
     176: 1
     177: 2q+1
     178: q+1
     179: 2q+1
     180: 1
     181: q+1
     182: 1
     183: 1
     185: 1
     186: q
     187: q+1
     188: q
     189: q+1
     190: 1
     191: 1
     192: 1
     193: 1
     194: 1
     195: 1
     196: 1
     197: 1
     198: 1
     199: 1
     200: q+1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 2
     207: 1
     209: 1
     211: 1
     213: 1
     214: q
     215: 1
     216: q
     217: 1
     218: 1
     219: 1
     220: 1
     221: q+1
     222: q+1
     223: q+1
     224: 1
     225: 2
     230: 2
     231: 1
     232: 2
     233: 1
     234: 1
     235: 1
     236: q+1
     237: 1
     238: q+1
     239: 1
     240: 1
     241: 1
     242: 1
     244: 1
     246: 1
     247: q
     248: 1
     250: 1
     252: 1
     253: 1
     258: 1
     260: 1
     261: 1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     267: 1
     268: 2
     270: 1
     272: 1
     274: 1
     275: 1
     282: 1
     283: 1
     284: 1
     285: 1
     286: 1
     287: 1
     288: 1
     289: 1
     290: q+1
     291: 1
     292: 1
     293: 2
     306: 1
     308: 1
     310: 1
     316: 1
     318: 1
     320: 1
     321: 1
     333: 1
     337: 1
     338: 1
     351: 1
     352: 1
     353: 1
     354: 1
     356: 1
     357: 1
     359: 1
     360: 1
     371: 1
     383: 1
     385: 1
     412: 1
     414: 1
     415: 1
     442: 1

443:   0: 3q^2+q
       1: 3q^2+q
       3: q^2+q
       4: 3q^2+q
       5: q^2+q
       6: q^2+q
       7: 3q^2+q
       9: q^2+q
      10: q
      11: q^2+q
      12: q^3+2q^2+q
      13: q^2+q
      14: q^2+q
      15: q
      16: q^3+2q^2+q
      17: q^2+q
      18: q^2+q
      19: q^2+q
      20: q^2+q
      21: q
      22: q^2+q
      23: q^2+q
      24: q
      25: q^2+q
      26: 3q^2+q
      27: q^2+q
      28: 3q^2+q
      29: q^2+q
      30: q^2+q
      31: q^2+q
      34: q^2+q
      35: q
      36: q^2+q
      37: q
      38: q^2+q
      39: q^2+q
      40: q^2+q
      41: q
      42: q^2+q
      43: q
      44: 3q^2+q
      45: 3q^2+q
      47: q^2+q
      48: q
      49: q
      50: q
      51: q
      52: q^2+q
      53: q^2+q
      54: q^2+q
      55: 3q^2+q
      57: q^2+q
      58: q
      59: q^2+q
      60: q
      61: q^2+q
      62: q^2+q
      65: q^2+q
      66: q^2+q
      67: q
      68: q
      70: q^2+q
      72: q
      73: q^2+q
      74: q
      75: q
      76: q
      78: q
      79: q^2+q
      80: q^2+q
      81: q^2+q
      82: q
      83: q^2+q
      84: q
      85: q
      86: q
      89: q
      90: q
      91: q
      92: q
      94: q
      95: q
      96: q^2+q
      98: q
      99: q
     100: q^2+q
     101: q^2+q
     102: q
     104: q
     106: q
     110: q
     111: q
     112: q
     113: q
     114: 1
     115: q+1
     116: q+1
     117: q+1
     119: q^2+q
     121: q
     122: q^2+q
     123: q
     125: q^2+q
     127: q
     128: q^2+q
     129: q
     130: q
     132: q
     134: q
     135: q
     138: 1
     139: q+1
     140: q
     141: q
     144: 1
     146: q
     151: 1
     152: q
     153: 1
     154: q
     155: 1
     156: q
     157: q
     158: q
     159: q
     161: 1
     162: q+1
     163: q+1
     164: q+1
     166: q
     168: q
     169: q
     170: q
     178: q^2+q
     180: q
     181: q^2+q
     182: q
     184: 1
     185: q
     186: 1
     187: q
     189: q+1
     190: 1
     193: 1
     194: 1
     195: q
     196: q
     199: 1
     206: 2
     208: 1
     210: 1
     212: 1
     213: q
     214: 1
     215: q
     216: 1
     219: q
     220: q
     224: 1
     237: q
     239: q
     240: q
     241: q
     243: 1
     245: 1
     246: q
     247: 1
     249: 1
     251: 1
     254: 1
     255: 1
     258: 1
     262: 1
     263: 1
     269: 2
     271: 1
     273: 1
     284: q
     285: q
     288: 1
     289: 1
     307: 1
     309: 1
     311: 1
     317: 1
     319: 1
     322: 1
     323: 1
     333: 1
     353: 1
     354: 1
     372: 1
     384: 1
     386: 1
     412: 1
     443: 1

444:   0: 3q^2+4q+1
       1: 3q+1
       2: 2q^3+5q^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: 2q^3+5q^2+4q+1
       9: q^3+3q^2+3q+1
      10: q^2+2q+1
      11: 3q+1
      12: q^3+q^2+q+1
      13: q^2+2q+1
      14: q^3+q^2+q+1
      15: q^2+2q+1
      16: q^3+q^2+q+1
      18: q^3+q^2+q+1
      20: 3q+1
      21: q^2+2q+1
      22: 3q+1
      23: q^3+q^2+q+1
      24: q^2+2q+1
      25: q^3+q^2+q+1
      26: 3q+1
      27: q^2+2q+1
      28: 3q+1
      29: q^2+2q+1
      32: 3q^2+4q+1
      33: 3q^2+4q+1
      34: q^2+q+1
      35: q^2+q+1
      36: q^2+q+1
      37: q^2+q+1
      38: 2q^2+3q+1
      39: 2q+1
      40: 2q^2+3q+1
      41: 2q+1
      42: 2q+1
      43: 2q+1
      44: 3q^2+4q+1
      45: 3q+1
      46: 2q^3+5q^2+4q+1
      47: 3q+1
      48: q^2+q+1
      49: q^2+q+1
      50: 2q+1
      51: 2q+1
      52: 2q+1
      53: 2q+1
      54: 3q+1
      55: 3q+1
      56: 3q^2+4q+1
      57: 3q+1
      58: q^2+2q+1
      59: 3q+1
      60: q^2+2q+1
      63: 3q+1
      64: 3q+1
      65: q^2+q+1
      66: q^2+q+1
      69: 2q^2+3q+1
      70: q+1
      71: 2q^2+3q+1
      72: q+1
      73: q+1
      74: q+1
      75: 2q^2+3q+1
      76: 2q+1
      77: q^3+3q^2+3q+1
      78: 2q+1
      79: 2q^2+3q+1
      80: 2q+1
      81: 2q^2+3q+1
      82: 2q+1
      83: 2q+1
      84: 2q+1
      87: q+1
      88: q+1
      89: 2q+1
      90: 2q+1
      91: q+1
      92: q+1
      93: q^2+2q+1
      94: 2q+1
      95: 2q+1
      96: 3q+1
      97: 3q+1
      98: 2q+1
      99: 2q+1
     100: 2q+1
     101: 2q+1
     102: q^2+2q+1
     103: q^2+q
     104: q+1
     105: q
     106: q+1
     107: q
     108: 3q+1
     109: 3q+1
     110: q^2+q+1
     112: q^2+q+1
     114: q+1
     115: q+1
     116: q^2+2q+1
     117: q+1
     118: 2q+1
     119: q+1
     120: 2q+1
     122: q+1
     124: 2q^2+3q+1
     125: q+1
     126: 2q^2+3q+1
     127: q+1
     128: q+1
     129: q+1
     130: q+1
     131: q
     132: q+1
     133: q
     136: q+1
     137: q+1
     138: 1
     139: q+1
     142: q+1
     143: q+1
     144: q+1
     145: q+1
     146: 2q+1
     147: 3q+1
     148: q+1
     149: q+1
     150: q+1
     152: 1
     153: q
     154: 1
     155: q
     156: q+1
     157: q+1
     158: 2q+1
     159: 2q+1
     160: q^2+2q+1
     161: 1
     162: q+1
     163: q+1
     165: 2q+1
     166: q+1
     167: 2q+1
     169: q+1
     171: 2q+2
     172: 1
     173: 2q+2
     174: 1
     175: 1
     176: 1
     177: 2q+1
     178: q+1
     179: 2q+1
     181: q+1
     183: 1
     185: 1
     186: q
     187: q+1
     188: q
     190: 1
     193: 1
     194: 1
     197: q+1
     198: q+1
     199: 1
     200: q+1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 2q+2
     207: 1
     209: 1
     211: 1
     213: 1
     214: q
     217: q+1
     218: q+1
     221: q+1
     222: q+1
     223: q+1
     224: q+1
     225: 2q+2
     226: 1
     227: q+1
     228: q+1
     230: 2
     231: 1
     232: 2
     234: 1
     236: 2q+1
     237: q+1
     238: 2q+1
     240: q+1
     242: 1
     244: 1
     248: 1
     250: 1
     252: q+1
     253: q+1
     257: 1
     259: 1
     262: 1
     263: 1
     264: 1
     265: 1
     268: 2
     270: 1
     274: 1
     275: 1
     276: 1
     278: 1
     279: q
     286: q+1
     287: q+1
     288: 1
     289: 1
     290: q+1
     291: 1
     292: 1
     293: 2
     300: 2
     301: 1
     302: 2
     304: 1
     306: 1
     308: 1
     314: 1
     318: 1
     320: 1
     321: 1
     334: 1
     339: 2
     341: 1
     347: 1
     348: 1
     353: 1
     354: 1
     355: 1
     356: 1
     357: 1
     358: 2
     359: 1
     360: 1
     373: 1
     383: 1
     385: 1
     387: 1
     388: 1
     413: 1
     418: 1
     419: 1
     444: 1

445:   0: q^3+2q^2+q
       1: q^2+q
       3: q^2+q
       4: q^3+2q^2+q
       5: q^2+q
       6: q
       7: q^2+q
       9: q^2+q
      10: q
      11: q^2+q
      12: q^2+q
      13: q
      14: q^2+q
      15: q
      16: q^2+q
      18: q^2+q
      20: q^2+q
      21: q
      22: q^2+q
      23: q^2+q
      24: q
      25: q^2+q
      26: q^2+q
      27: q
      28: q^2+q
      29: q
      34: q
      35: q
      36: q
      37: q
      38: q^2+q
      39: q
      40: q^2+q
      41: q
      42: q
      43: q
      44: q^3+2q^2+q
      45: q^2+q
      47: q^2+q
      48: q
      49: q
      50: q
      51: q
      52: q
      53: q
      54: q^2+q
      55: q^2+q
      57: q^2+q
      58: q
      59: q^2+q
      60: q
      65: q
      66: q
      70: q
      72: q
      73: q
      74: q
      75: q^2+q
      76: q
      78: q
      79: q^2+q
      80: q
      81: q^2+q
      82: q
      83: q
      84: q
      89: q
      90: q
      91: q
      92: q
      94: q
      95: q
      96: q^2+q
      98: q
      99: q
     100: q
     101: q
     102: q^2+q
     104: q
     106: q
     110: q
     112: q
     114: q+1
     115: q+1
     116: q^2+2q+1
     117: q+1
     119: q
     122: q
     125: q
     127: q
     128: q
     129: q
     130: q
     132: q
     138: 1
     139: q+1
     144: q+1
     146: q
     151: q+1
     152: q
     153: 1
     154: q
     155: 1
     156: q
     157: q
     158: q
     159: q
     161: 1
     162: q+1
     163: q+1
     166: q
     169: q
     178: q
     181: q
     184: 1
     185: q
     186: 1
     187: q
     190: 1
     193: 1
     194: 1
     199: 1
     206: 2q+2
     208: 1
     210: 1
     212: 1
     213: q
     214: 1
     224: q+1
     226: 1
     227: q+1
     228: q+1
     237: q
     240: q
     243: 1
     245: 1
     249: 1
     251: 1
     254: q+1
     255: q+1
     257: 1
     259: 1
     262: 1
     263: 1
     269: 2
     271: 1
     277: 1
     278: q
     279: 1
     288: 1
     289: 1
     307: 1
     309: 1
     315: 1
     319: 1
     322: 1
     323: 1
     334: 1
     340: 2
     342: 1
     353: 1
     354: 1
     355: 1
     374: 1
     384: 1
     386: 1
     389: 1
     390: 1
     413: 1
     445: 1

446:   0: 2q+1
       1: 2q+1
       2: 2q+1
       3: q+1
       4: 2q+1
       6: q+1
       7: 2q+1
       8: 2q+1
       9: q+1
      12: q+1
      13: q+1
      16: q+1
      26: 2q+1
      27: q+1
      28: 2q+1
      29: q+1
      32: 2q+1
      33: 2q+1
      34: q+1
      36: q+1
      38: q+1
      39: q+1
      40: q+1
      42: q+1
      44: 2q+1
      45: 2q+1
      46: 2q+1
      52: q+1
      53: q+1
      55: 2q+1
      56: 2q+1
      63: 2q+1
      64: 2q+1
      65: q+1
      66: q+1
      69: q+1
      70: q+1
      71: q+1
      73: q+1
      75: 1
      76: 1
      77: q+1
      79: q+1
      80: q+1
      81: q+1
      83: q+1
      87: q+1
      88: q+1
      93: 1
      95: 1
      97: 2q+1
     100: q+1
     101: q+1
     102: 1
     104: 1
     114: 1
     115: 1
     116: q+1
     118: q+1
     119: q+1
     120: q+1
     122: q+1
     124: q+1
     125: q+1
     126: q+1
     128: q+1
     132: 1
     138: 1
     142: q+1
     143: q+1
     144: 1
     145: 1
     148: q+1
     149: q+1
     150: 1
     152: 1
     160: 1
     161: 1
     162: 1
     163: q+1
     171: 2
     172: 1
     173: 2
     175: 1
     177: q+1
     178: q+1
     179: q+1
     181: q+1
     183: 1
     190: 1
     194: 1
     199: 1
     201: 1
     202: 1
     205: 2
     207: 1
     211: 1
     213: 1
     221: q+1
     222: q+1
     223: 1
     224: 1
     225: 2
     230: 2
     231: 1
     232: 2
     234: 1
     242: 1
     248: 1
     252: 1
     253: 1
     262: 1
     268: 2
     270: 1
     274: 1
     275: 1
     288: 1
     289: 1
     291: 1
     292: 1
     293: 2
     294: 2
     295: 1
     296: 2
     298: 1
     306: 1
     318: 1
     320: 1
     321: 1
     327: 2
     329: 1
     335: 1
     336: 1
     350: 2
     353: 1
     359: 1
     360: 1
     369: 1
     379: 1
     380: 1
     383: 1
     416: 1
     417: 1
     446: 1

447:   1: q^3+q^2
       6: q^2
       7: q^3+q^2
      12: q^2
      13: q^2
      16: q^2
      34: q^2
      36: q^2
      39: q^2
      42: q^2
      45: q^3+q^2
      70: q^2
      73: q^2
      76: q^2
      80: q^2
      83: q^2
     104: q^2
     115: q^2
     125: q^2
     128: q^2
     152: q^2
     161: 1
     162: 1
     163: q+1
     190: 1
     194: 1
     212: 1
     214: 1
     249: 1
     262: 1
     269: 2
     271: 1
     289: 1
     307: 1
     322: 1
     323: 1
     328: 2
     330: 1
     353: 1
     370: 1
     381: 1
     382: 1
     384: 1
     447: 1

448:   0: 2q+1
       1: 1
       2: q^2+2q+1
       3: 2q+1
       4: 2q+1
       5: 1
       6: 1
       7: 1
       8: q^2+2q+1
       9: 2q+1
      10: 1
      11: 1
      12: q^3+1
      13: 1
      14: q^3+1
      15: 1
      16: q^3+1
      18: q^3+1
      20: 1
      21: 1
      22: 1
      23: q^3+1
      24: 1
      25: q^3+1
      26: 1
      27: 1
      28: 1
      29: 1
      32: 2q+1
      33: 2q+1
      34: 1
      35: 1
      36: 1
      37: 1
      38: 2q+1
      39: 1
      40: 2q+1
      41: 1
      42: 1
      43: 1
      44: 2q+1
      45: 1
      46: q^2+2q+1
      47: 1
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 2q+1
      57: 1
      58: 1
      59: 1
      60: 1
      63: 1
      64: 1
      65: 1
      66: 1
      69: 2q+1
      70: 1
      71: 2q+1
      72: 1
      73: 1
      74: 1
      75: 2q+1
      76: 1
      77: q^2+2q+1
      78: 1
      79: 2q+1
      80: 1
      81: 2q+1
      82: 1
      83: 1
      84: 1
      87: 1
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 2q+1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 2q+1
     104: 1
     106: 1
     108: 1
     109: 1
     110: 1
     112: 1
     114: q+1
     115: q+1
     116: q+1
     117: q+1
     118: 1
     119: 1
     120: 1
     122: 1
     124: 2q+1
     125: 1
     126: 2q+1
     127: 1
     128: 1
     129: 1
     130: 1
     132: 1
     136: 1
     137: 1
     138: 1
     139: q+1
     142: 1
     143: 1
     144: q+1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: q+1
     152: 1
     153: q
     154: 1
     155: q
     156: 1
     157: 1
     158: 1
     159: 1
     160: 2q+1
     165: 1
     166: 1
     167: 1
     169: 1
     171: 2q+1
     172: 1
     173: 2q+1
     174: 1
     175: 1
     176: 1
     177: 1
     178: 1
     179: 1
     181: 1
     183: 1
     185: 1
     186: q
     187: 1
     193: 1
     197: 1
     198: 1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: q+1
     207: 1
     208: q
     209: 1
     210: q
     217: 1
     218: 1
     221: 1
     222: 1
     223: 1
     224: q+1
     225: 2q+1
     230: 1
     231: 1
     232: 1
     234: 1
     236: 1
     237: 1
     238: 1
     240: 1
     242: 1
     244: 1
     245: q
     250: 1
     252: q+1
     263: 1
     264: 1
     265: 1
     274: 1
     275: 1
     286: 1
     287: 1
     288: 1
     290: 1
     291: 1
     292: 1
     293: 1
     300: 1
     301: 1
     302: 1
     304: 1
     308: 1
     318: 1
     347: 1
     348: 1
     349: 1
     354: 1
     356: 1
     357: 1
     358: 1
     359: 1
     360: 1
     385: 1
     391: 1
     408: 1
     418: 1
     419: 1
     448: 1

449:   0: 2q^2+q
       1: q
       3: 2q^2+q
       4: 2q^2+q
       5: q
       6: q
       7: q
       9: 2q^2+q
      10: q
      11: q
      12: q^2+q
      13: q
      14: q^2+q
      15: q
      16: q^2+q
      18: q^2+q
      20: q
      21: q
      22: q
      23: q^2+q
      24: q
      25: q^2+q
      26: q
      27: q
      28: q
      29: q
      34: q
      35: q
      36: q
      37: q
      38: 2q^2+q
      39: q
      40: 2q^2+q
      41: q
      42: q
      43: q
      44: 2q^2+q
      45: q
      47: q
      48: q
      49: q
      50: q
      51: q
      52: q
      53: q
      54: q
      55: q
      57: q
      58: q
      59: q
      60: q
      65: q
      66: q
      70: q
      72: q
      73: q
      74: q
      75: 2q^2+q
      76: q
      78: q
      79: 2q^2+q
      80: q
      81: 2q^2+q
      82: q
      83: q
      84: q
      89: q
      90: q
      91: q
      92: q
      94: q
      95: q
      96: q
      98: q
      99: q
     100: q
     101: q
     102: 2q^2+q
     104: q
     106: q
     110: q
     112: q
     114: q+1
     115: q+1
     116: q+1
     117: q+1
     119: q
     122: q
     125: q
     127: q
     128: q
     129: q
     130: q
     132: q
     138: 1
     139: q+1
     144: q+1
     146: q
     151: q+1
     152: q
     153: 1
     154: q
     155: 1
     156: q
     157: q
     158: q
     159: q
     166: q
     169: q
     172: q
     174: q
     175: q
     176: q
     178: q
     181: q
     184: 1
     185: q
     186: 1
     187: q
     193: 1
     199: 1
     203: q
     204: q
     206: q+1
     207: q
     208: 1
     209: q
     210: 1
     224: q+1
     231: q
     234: q
     237: q
     240: q
     243: 1
     244: q
     245: 1
     251: 1
     254: q+1
     263: 1
     288: 1
     301: q
     304: q
     309: 1
     319: 1
     349: 1
     354: 1
     386: 1
     392: 1
     408: 1
     449: 1

450:   0: 1
       1: 1
       2: q^3+1
       3: 1
       4: 1
       6: 1
       7: 1
       8: q^3+1
       9: 1
      12: q^3+1
      13: 1
      16: q^3+1
      26: 1
      27: 1
      28: 1
      29: 1
      32: 1
      33: 1
      34: 1
      36: 1
      38: 1
      39: 1
      40: 1
      42: 1
      44: 1
      45: 1
      46: q^3+1
      52: 1
      53: 1
      55: 1
      56: 1
      63: 1
      64: 1
      65: 1
      66: 1
      69: 1
      70: 1
      71: 1
      73: 1
      75: 1
      76: 1
      77: q^3+1
      79: 1
      80: 1
      81: 1
      83: 1
      87: 1
      88: 1
      93: 1
      95: 1
      97: 1
     100: 1
     101: 1
     102: 1
     104: 1
     114: 1
     115: q+1
     116: 1
     118: 1
     119: 1
     120: 1
     122: 1
     124: 1
     125: 1
     126: 1
     128: 1
     132: 1
     138: 1
     142: 1
     143: 1
     144: 1
     145: 1
     148: 1
     149: 1
     150: 1
     152: 1
     153: q
     160: 1
     161: 1
     162: q+1
     163: 1
     171: 1
     172: 1
     173: 1
     175: 1
     177: 1
     178: 1
     179: 1
     181: 1
     183: 1
     190: 1
     194: 1
     199: 1
     201: 1
     202: 1
     205: 1
     207: 1
     208: q
     211: 1
     213: 1
     214: q
     221: 1
     222: 1
     223: 1
     224: 1
     225: 1
     230: 1
     231: 1
     232: 1
     234: 1
     242: 1
     248: 1
     252: 1
     262: 1
     268: 1
     270: 1
     271: q
     274: 1
     275: 1
     288: 1
     289: 1
     291: 1
     292: 1
     293: 1
     306: 1
     318: 1
     320: 1
     349: 1
     353: 1
     359: 1
     360: 1
     383: 1
     391: 1
     409: 1
     450: 1

451:   0: q
       1: q
       3: q
       4: q
       6: q
       7: q
       9: q
      12: q^2+q
      13: q
      16: q^2+q
      26: q
      27: q
      28: q
      29: q
      34: q
      36: q
      38: q
      39: q
      40: q
      42: q
      44: q
      45: q
      52: q
      53: q
      55: q
      65: q
      66: q
      70: q
      73: q
      75: q
      76: q
      79: q
      80: q
      81: q
      83: q
      95: q
     100: q
     101: q
     102: q
     104: q
     114: 1
     115: q+1
     116: 1
     119: q
     122: q
     125: q
     128: q
     132: q
     138: 1
     144: 1
     151: 1
     152: q
     153: 1
     161: 1
     162: q+1
     163: 1
     172: q
     175: q
     178: q
     181: q
     184: 1
     190: 1
     194: 1
     199: 1
     206: 1
     207: q
     208: 1
     212: 1
     213: q
     214: 1
     224: 1
     231: q
     234: q
     243: 1
     249: 1
     254: 1
     262: 1
     269: 1
     270: q
     271: 1
     288: 1
     289: 1
     307: 1
     319: 1
     322: 1
     349: 1
     353: 1
     384: 1
     392: 1
     409: 1
     451: 1

452:   0: q+1
       1: 1
       2: q+1
       3: q+1
       4: q+1
       6: 1
       7: 1
       8: q+1
       9: q+1
      12: 1
      13: 1
      16: 1
      26: 1
      27: 1
      28: 1
      29: 1
      32: q+1
      33: q+1
      34: 1
      36: 1
      38: q+1
      39: 1
      40: q+1
      42: 1
      44: q+1
      45: 1
      46: q+1
      52: 1
      53: 1
      55: 1
      56: q+1
      63: 1
      64: 1
      65: 1
      66: 1
      69: q+1
      70: 1
      71: q+1
      73: 1
      75: q+1
      76: 1
      77: q+1
      79: q+1
      80: 1
      81: q+1
      83: 1
      87: 1
      88: 1
      93: q+1
      95: 1
      97: 1
     100: 1
     101: 1
     102: q+1
     104: 1
     114: q+1
     115: 1
     116: q+1
     118: 1
     119: 1
     120: 1
     122: 1
     124: q+1
     125: 1
     126: q+1
     128: 1
     132: 1
     138: 1
     142: 1
     143: 1
     144: q+1
     145: 1
     148: 1
     149: 1
     150: q+1
     152: 1
     160: q+1
     171: q+1
     172: 1
     173: q+1
     175: 1
     177: 1
     178: 1
     179: 1
     181: 1
     183: 1
     199: 1
     201: 1
     202: 1
     205: q+1
     207: 1
     221: 1
     222: 1
     223: 1
     224: q+1
     225: q+1
     230: 1
     231: 1
     232: 1
     234: 1
     242: 1
     252: q+1
     274: 1
     275: 1
     288: 1
     291: 1
     292: 1
     293: 1
     294: 1
     295: 1
     296: 1
     298: 1
     318: 1
     335: 1
     336: 1
     349: 1
     350: 1
     359: 1
     360: 1
     391: 1
     410: 1
     416: 1
     417: 1
     452: 1

453:   0: q^2+q
       1: q
       2: q^2+q
       3: q^3+2q^2+q
       4: q^2+q
       6: q^2+q
       7: q
       8: q^2+q
       9: q^3+2q^2+q
      12: q^2+q
      13: q^2+q
      16: q^2+q
      26: q
      27: q^2+q
      28: q
      29: q^2+q
      32: q^2+q
      33: q^2+q
      34: q^2+q
      36: q^2+q
      38: q^2+q
      39: q
      40: q^2+q
      42: q
      44: q^2+q
      45: q
      46: q^2+q
      52: q
      53: q
      55: q
      56: q^2+q
      63: q
      64: q
      65: q^2+q
      66: q^2+q
      69: q^2+q
      70: q
      71: q^2+q
      73: q
      75: q^2+2q
      76: 2q
      77: q
      79: q^2+q
      80: q
      81: q^2+q
      83: q
      87: q
      88: q
      93: q
      95: 2q
      97: q
     100: q
     101: q
     102: q^2+q
     103: q
     104: q
     105: q
     114: q^2+2q
     115: 2q
     116: q
     118: q
     119: q
     120: q
     122: q
     124: q^2+q
     125: q
     126: q^2+q
     128: q
     132: q
     133: q
     138: 2q
     142: q
     143: q
     144: q
     145: q
     148: q
     149: q
     150: q^2+q
     151: q
     152: q
     153: q
     160: q
     172: q
     175: q
     177: q
     178: q
     179: q
     181: q
     183: q
     184: q
     199: q
     207: q
     221: q
     222: q
     223: q
     224: q
     231: q
     234: q
     288: q
     295: q
     298: q
     349: 1
     392: 1
     410: 1
     453: 1

454:   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+1
      11: q^2+2q+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^2+2q+1
      21: q+1
      22: q^2+2q+1
      23: q+1
      24: q+1
      25: q+1
      26: q^2+2q+1
      27: q+1
      28: q^2+2q+1
      29: q+1
      30: q+1
      31: q+1
      32: q^2+2q+1
      33: q^2+2q+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
      49: q+1
      50: q+1
      51: q+1
      52: q+1
      53: q+1
      54: q+1
      55: q+1
      56: q+1
      57: q^2+2q+1
      58: q+1
      59: q^2+2q+1
      60: q+1
      61: q+1
      62: q+1
      63: q^2+2q+1
      64: q^2+2q+1
      65: q+1
      66: 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: 1
      76: 1
      77: q+1
      78: 1
      79: 1
      80: 1
      81: 1
      82: 1
      83: 1
      84: 1
      85: q+1
      86: q+1
      87: q+1
      88: q+1
      89: q+1
      90: q+1
      91: q+1
      92: q+1
      93: 1
      94: 1
      95: 1
      96: q+1
      97: q+1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     106: 1
     108: q^2+2q+1
     109: q^2+2q+1
     110: q+1
     111: q+1
     112: q+1
     113: q+1
     114: 1
     115: 1
     116: q+1
     117: 1
     118: q+1
     119: q+1
     120: q+1
     121: q+1
     122: q+1
     123: q+1
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     132: 1
     134: q+1
     135: q+1
     136: q+1
     137: q+1
     138: 1
     139: 1
     140: q+1
     141: q+1
     142: q+1
     143: q+1
     144: 1
     145: 1
     146: 1
     147: q+1
     148: 1
     149: 1
     150: 1
     152: 1
     154: 1
     156: 1
     157: 1
     158: 1
     159: 1
     161: 1
     162: 1
     163: q+1
     164: 1
     165: q+1
     166: q+1
     167: q+1
     168: q+1
     169: q+1
     170: q+1
     171: 1
     173: 1
     177: 1
     178: 1
     179: 1
     180: 1
     181: 1
     182: 1
     183: 1
     185: 1
     187: 1
     189: 1
     190: 1
     191: q+1
     192: q+1
     193: 1
     194: 1
     195: q+1
     196: q+1
     197: q+1
     198: q+1
     199: 1
     200: 1
     205: 1
     211: 1
     213: 1
     215: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     226: 1
     227: 1
     228: q+1
     229: 1
     230: 1
     232: 1
     236: 1
     237: 1
     238: 1
     239: 1
     240: 1
     241: 1
     246: 1
     248: 1
     250: 1
     256: 1
     257: 1
     258: 1
     259: 1
     260: q+1
     261: q+1
     262: 1
     263: 1
     268: 1
     276: 1
     278: 1
     280: 1
     282: 1
     283: 1
     284: 1
     285: 1
     286: 1
     287: 1
     294: 1
     296: 1
     300: 1
     302: 1
     312: 1
     314: 1
     316: 1
     324: 1
     327: 1
     333: 1
     334: 1
     339: 1
     351: 1
     352: 1
     361: 1
     363: 1
     377: 1
     393: 1
     401: 1
     420: 1
     422: 1
     454: 1

455:   0: q
       1: q
       2: q
       3: q^2+q
       4: q
       5: q^3+q
       6: q^2+q
       7: q
       8: q
       9: q^2+q
      10: q
      11: q^3+q
      12: q^2+q
      13: q^2+q
      14: q
      15: q
      16: q^2+q
      17: q
      18: q
      19: q
      20: q
      21: q
      22: q
      23: q
      24: q
      25: q
      26: q
      27: q^2+q
      28: q
      29: q^2+q
      30: q
      31: q
      32: q
      33: q
      34: q^2+q
      35: q
      36: q^2+q
      37: q
      38: q
      39: q
      40: q
      41: q
      42: q
      43: q
      44: q
      45: q
      46: q
      47: q^3+q
      48: q
      49: q
      50: q
      51: q
      52: q
      53: q
      54: q
      55: q
      56: q
      57: q
      58: q
      59: q
      60: q
      61: q
      62: q
      63: q
      64: q
      65: q^2+q
      66: q^2+q
      67: q
      68: q
      69: q
      70: q
      71: q
      72: q
      73: q
      74: q
      75: 2q
      76: 2q
      77: q
      78: q
      85: q
      86: q
      87: q
      88: q
      89: q
      90: q
      91: q
      92: q
      93: q
      94: q
      95: 2q
      96: q
      97: q
     103: q
     105: q
     108: q
     109: q
     110: q
     111: q
     112: q
     113: q
     114: 2q
     115: 2q
     116: q
     117: q
     118: q
     119: q
     120: q
     121: q
     122: q
     123: q
     133: q
     134: q
     135: q
     136: q
     137: q
     138: 2q
     139: q
     140: q
     141: q
     142: q
     143: q
     144: q
     145: q
     146: q
     147: q
     151: q
     153: q
     161: 2q
     162: 2q
     163: q
     164: q
     184: q
     189: q
     190: 2q
     191: q
     192: q
     193: q
     194: q
     199: q
     212: q
     214: q
     226: 1
     227: 1
     228: q+1
     229: 1
     249: q
     256: 1
     257: 1
     258: q
     259: 1
     262: q
     277: 1
     279: 1
     281: 1
     313: 1
     315: 1
     324: 1
     334: 1
     340: 1
     378: 1
     394: 1
     401: 1
     455: 1

456:   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^2+2q+1
      11: q+1
      12: q+1
      13: q^2+2q+1
      14: q+1
      15: q^2+2q+1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      20: q+1
      21: q^2+2q+1
      22: q+1
      23: q+1
      24: q^2+2q+1
      25: q+1
      26: q+1
      27: q^2+2q+1
      28: q+1
      29: q^2+2q+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^2+q+1
      47: q+1
      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: q+1
      57: q+1
      58: q^2+2q+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: q+1
      69: q+1
      70: 1
      71: q+1
      72: 1
      73: 1
      74: 1
      75: q+1
      76: q+1
      78: q+1
      79: q+1
      80: q+1
      81: q+1
      82: q+1
      83: q+1
      84: q+1
      85: q+1
      86: q+1
      87: 1
      88: 1
      89: q+1
      90: q+1
      91: 1
      92: 1
      94: 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
     104: q+1
     106: q+1
     108: q+1
     109: q+1
     110: q+1
     111: q+1
     112: q+1
     113: q+1
     114: q+1
     115: 1
     117: 1
     118: q+1
     119: 1
     120: q+1
     121: 1
     122: 1
     123: 1
     124: q+1
     125: 1
     126: q+1
     127: 1
     128: 1
     129: 1
     130: q+1
     132: q+1
     134: q+1
     135: q+1
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: 1
     146: q+1
     147: q+1
     148: 1
     149: 1
     150: q+1
     152: 1
     154: 1
     156: 1
     157: 1
     158: q+1
     159: q+1
     161: q+1
     162: 1
     164: 1
     165: q+1
     166: 1
     167: q+1
     168: 1
     169: 1
     170: 1
     172: 1
     174: 1
     175: 1
     176: 1
     177: q+1
     178: 1
     179: q+1
     180: 1
     181: 1
     182: 1
     183: 1
     185: 1
     187: q+1
     189: 1
     190: 1
     191: 1
     192: 1
     193: 1
     195: 1
     196: 1
     197: 1
     198: 1
     203: 1
     204: 1
     207: 1
     209: 1
     211: q+1
     213: 1
     215: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     226: q+1
     227: 1
     229: 1
     231: 1
     233: 1
     234: 1
     235: 1
     236: q+1
     237: 1
     238: q+1
     239: 1
     240: 1
     241: 1
     244: 1
     246: 1
     248: 1
     250: 1
     256: 1
     257: 1
     258: 1
     260: 1
     261: 1
     266: 1
     267: 1
     270: 1
     272: 1
     276: q+1
     278: 1
     280: 1
     282: 1
     283: 1
     284: 1
     285: 1
     286: 1
     287: 1
     295: 1
     298: 1
     301: 1
     303: 1
     304: 1
     305: 1
     310: 1
     312: 1
     314: 1
     316: 1
     324: 1
     329: 1
     341: 1
     343: 1
     345: 1
     346: 1
     351: 1
     352: 1
     362: 1
     365: 1
     375: 1
     377: 1
     395: 1
     421: 1
     424: 1
     456: 1

457:   3: q^2
       6: q^2
       9: q^2
      10: q^3+q^2
      12: q^3+q^2
      13: q^2
      14: q^2
      15: q^3+q^2
      16: q^3+q^2
      17: q^2
      18: q^2
      19: q^2
      21: q^2
      23: q^2
      24: q^2
      25: q^2
      27: q^2
      29: q^2
      30: q^2
      31: q^2
      34: q^2
      35: q^2
      36: q^2
      37: q^2
      48: q^2
      49: q^2
      58: q^2
      60: q^2
      61: q^2
      62: q^2
      65: q^2
      66: q^2
      67: q^2
      68: q^2
      75: q
      76: q
      78: q^2+q
      85: q^2
      86: q^2
      94: q
      95: q
     103: q
     105: q
     107: q^2+q
     114: q
     115: 2q
     117: q
     131: q
     133: q
     138: q
     139: q
     146: q
     151: q
     153: 2q
     155: q
     161: q
     162: 2q
     164: q
     184: q
     186: q
     188: q
     189: q
     190: q
     208: q
     212: q
     214: 2q
     216: q
     226: q+1
     227: 1
     229: 1
     247: q
     249: q
     256: 1
     257: 1
     271: q
     277: q+1
     279: 1
     281: 1
     313: 1
     315: 1
     324: 1
     342: 1
     344: 1
     376: 1
     378: 1
     396: 1
     457: 1

458:   0: 1
       1: 1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
       9: 1
      10: 1
      11: 1
      12: q+1
      13: 1
      14: q+1
      15: 1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      20: 1
      21: 1
      22: 1
      23: q+1
      24: 1
      25: q+1
      26: 1
      27: 1
      28: 1
      29: 1
      30: q+1
      31: q+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
      47: 1
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: q+1
      62: q+1
      65: 1
      66: 1
      67: 1
      68: 1
      70: 1
      72: 1
      73: 1
      74: 1
      75: 1
      76: 1
      78: 1
      79: 1
      80: 1
      81: 1
      82: 1
      83: 1
      84: 1
      85: 1
      86: 1
      89: 1
      90: 1
      91: 1
      92: 1
      94: 1
      95: 1
      96: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     106: 1
     110: 1
     111: 1
     112: 1
     113: 1
     115: 1
     117: 1
     119: 1
     121: 1
     122: 1
     123: 1
     125: 1
     127: 1
     128: 1
     129: 1
     130: 1
     132: 1
     134: 1
     135: 1
     139: 1
     140: 1
     141: 1
     146: 1
     152: 1
     154: 1
     156: 1
     157: 1
     158: 1
     159: 1
     162: 1
     164: 1
     166: 1
     168: 1
     169: 1
     170: 1
     172: 1
     174: 1
     175: 1
     176: 1
     178: 1
     180: 1
     181: 1
     182: 1
     185: 1
     187: 1
     189: 1
     195: 1
     196: 1
     203: 1
     204: 1
     207: 1
     209: 1
     213: 1
     215: 1
     219: 1
     220: 1
     227: 1
     229: 1
     231: 1
     233: 1
     234: 1
     235: 1
     237: 1
     239: 1
     240: 1
     241: 1
     244: 1
     246: 1
     256: 1
     266: 1
     267: 1
     270: 1
     272: 1
     278: 1
     280: 1
     284: 1
     285: 1
     297: 1
     299: 1
     301: 1
     303: 1
     304: 1
     305: 1
     310: 1
     312: 1
     331: 1
     341: 1
     343: 1
     345: 1
     346: 1
     364: 1
     366: 1
     375: 1
     397: 1
     423: 1
     425: 1
     458: 1

459:  14: q^3
      17: q^3
      18: q^3
      19: q^3
      30: q^3
      31: q^3
     117: q
     155: q
     164: q
     210: q
     216: q
     227: 1
     229: 1
     256: 1
     273: q
     279: 1
     281: 1
     313: 1
     342: 1
     344: 1
     376: 1
     398: 1
     459: 1

460:   0: 1
       1: 1
       2: 1
       3: q+1
       4: 1
       5: q^2+1
       6: q+1
       7: 1
       8: 1
       9: q+1
      10: q^2+q+1
      11: q^2+1
      12: q+1
      13: q+1
      14: q^2+q+1
      15: 1
      16: q+1
      17: q^2+q+1
      18: 1
      19: 1
      20: 1
      21: q+1
      22: 1
      23: q+1
      24: 1
      25: 1
      26: 1
      27: q+1
      28: 1
      29: q+1
      30: q^2+q+1
      31: 1
      32: 1
      33: 1
      34: q+1
      35: q^2+q+1
      36: q+1
      37: 1
      38: 1
      39: 1
      40: 1
      41: q^2+1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: q^2+1
      48: q+1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: q+1
      59: 1
      60: 1
      61: q+1
      62: 1
      63: 1
      64: 1
      65: q+1
      66: q+1
      67: q^2+q+1
      68: 1
      69: 1
      70: 1
      71: 1
      72: q^2+1
      73: 1
      74: 1
      75: 1
      76: 1
      78: 1
      79: 1
      80: 1
      81: 1
      82: q^2+1
      83: 1
      84: 1
      85: q+1
      86: 1
      87: 1
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     106: 1
     108: 1
     109: 1
     110: q+1
     111: q+1
     112: 1
     113: 1
     114: 1
     115: 1
     117: 1
     118: 1
     119: 1
     120: 1
     121: q^2+1
     122: 1
     123: 1
     124: 1
     125: 1
     126: 1
     127: q^2+1
     128: 1
     129: 1
     130: 1
     132: 1
     134: q+1
     135: 1
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     152: 1
     154: 1
     156: 1
     157: 1
     158: 1
     159: 1
     161: 1
     162: 1
     164: 1
     165: 1
     166: 1
     168: 1
     172: 1
     174: 1
     175: 1
     176: 1
     177: 1
     178: 1
     179: 1
     180: q^2+1
     181: 1
     182: 1
     183: 1
     185: 1
     187: 1
     189: 1
     190: 1
     191: 1
     192: 1
     193: 1
     195: 1
     197: 1
     203: 1
     204: 1
     207: 1
     209: 1
     211: 1
     213: 1
     215: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     231: 1
     233: 1
     234: 1
     235: 1
     236: 1
     237: 1
     239: 1
     244: 1
     246: 1
     248: 1
     250: 1
     258: 1
     260: 1
     266: 1
     267: 1
     270: 1
     272: 1
     282: 1
     283: 1
     284: 1
     286: 1
     295: 1
     297: 1
     298: 1
     299: 1
     301: 1
     303: 1
     310: 1
     316: 1
     325: 1
     326: 1
     329: 1
     331: 1
     345: 1
     351: 1
     362: 1
     364: 1
     367: 1
     399: 1
     421: 1
     423: 1
     460: 1

461:   0: 1
       1: 1
       2: 1
       3: q+1
       4: 1
       5: q^2+1
       6: q+1
       7: 1
       8: 1
       9: q+1
      10: 1
      11: q^2+1
      12: q+1
      13: q+1
      14: 1
      15: q^2+q+1
      16: q+1
      17: 1
      18: q^2+q+1
      19: q^2+q+1
      20: 1
      21: 1
      22: 1
      23: 1
      24: q+1
      25: q+1
      26: 1
      27: q+1
      28: 1
      29: q+1
      30: 1
      31: q^2+q+1
      32: 1
      33: 1
      34: q+1
      35: 1
      36: q+1
      37: q^2+q+1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: q^2+1
      44: 1
      45: 1
      46: 1
      47: q^2+1
      48: 1
      49: q+1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: q+1
      61: 1
      62: q+1
      63: 1
      64: 1
      65: q+1
      66: q+1
      67: 1
      68: q^2+q+1
      69: 1
      70: 1
      71: 1
      72: 1
      73: 1
      74: q^2+1
      75: 1
      76: 1
      78: 1
      79: 1
      80: 1
      81: 1
      82: 1
      83: 1
      84: q^2+1
      85: 1
      86: q+1
      87: 1
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     106: 1
     108: 1
     109: 1
     110: 1
     111: 1
     112: q+1
     113: q+1
     114: 1
     115: 1
     117: 1
     118: 1
     119: 1
     120: 1
     121: 1
     122: 1
     123: q^2+1
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: q^2+1
     130: 1
     132: 1
     134: 1
     135: q+1
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     152: 1
     154: 1
     156: 1
     157: 1
     158: 1
     159: 1
     161: 1
     162: 1
     164: 1
     167: 1
     169: 1
     170: 1
     172: 1
     174: 1
     175: 1
     176: 1
     177: 1
     178: 1
     179: 1
     180: 1
     181: 1
     182: q^2+1
     183: 1
     185: 1
     187: 1
     189: 1
     190: 1
     191: 1
     192: 1
     193: 1
     196: 1
     198: 1
     203: 1
     204: 1
     207: 1
     209: 1
     211: 1
     213: 1
     215: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     231: 1
     233: 1
     234: 1
     235: 1
     238: 1
     240: 1
     241: 1
     244: 1
     246: 1
     248: 1
     250: 1
     258: 1
     261: 1
     266: 1
     267: 1
     270: 1
     272: 1
     282: 1
     283: 1
     285: 1
     287: 1
     295: 1
     297: 1
     298: 1
     299: 1
     304: 1
     305: 1
     310: 1
     316: 1
     325: 1
     326: 1
     329: 1
     331: 1
     346: 1
     352: 1
     365: 1
     366: 1
     367: 1
     400: 1
     424: 1
     425: 1
     461: 1

462:   0: 3q^2+3q+1
       1: 3q^2+3q+1
       2: q^3+3q^2+3q+1
       3: 3q^2+3q+1
       4: q^2+3q+1
       5: q^3+2q^2+2q+1
       6: 3q^2+3q+1
       7: q^2+3q+1
       8: q^3+3q^2+3q+1
       9: q^2+3q+1
      10: q^3+2q^2+2q+1
      11: q+1
      12: q^3+2q^2+2q+1
      13: q^2+3q+1
      14: q^2+q+1
      15: q+1
      16: q+1
      17: q^2+q+1
      18: 1
      19: 1
      20: 2q^2+2q+1
      21: 2q^2+2q+1
      22: q+1
      23: q^2+q+1
      24: q+1
      25: 1
      26: 3q^2+3q+1
      27: 3q^2+3q+1
      28: q^2+3q+1
      29: q^2+3q+1
      30: q^2+q+1
      31: 1
      32: 2q^2+3q+1
      33: q^2+3q+1
      34: 2q^2+2q+1
      35: q^2+q+1
      36: q+1
      37: 1
      38: 3q^2+3q+1
      39: 3q^2+3q+1
      40: q^2+3q+1
      41: q^3+2q^2+2q+1
      42: q^2+3q+1
      43: q+1
      44: 2q+1
      45: 2q+1
      46: q^2+2q+1
      47: q+1
      48: q^2+q+1
      49: 1
      50: 2q^2+2q+1
      51: q+1
      52: 3q^2+3q+1
      53: q^2+3q+1
      54: q+1
      55: 2q+1
      56: 2q+1
      57: 2q^2+2q+1
      58: 2q^2+2q+1
      59: q+1
      60: q+1
      61: q^2+q+1
      62: 1
      63: 2q^2+3q+1
      64: q^2+3q+1
      65: 2q^2+2q+1
      66: q+1
      67: q^2+q+1
      68: 1
      69: 2q^2+3q+1
      70: 2q^2+2q+1
      71: q^2+3q+1
      72: q^2+q+1
      73: q+1
      74: 1
      75: 2q+1
      76: 2q+1
      77: q^2+2q+1
      78: q+1
      79: 2q+1
      80: 2q+1
      81: 2q+1
      82: q+1
      83: 2q+1
      84: q+1
      85: q^2+q+1
      86: 1
      87: q^2+2q+1
      88: q+1
      89: 2q^2+2q+1
      90: q+1
      91: q^2+q+1
      92: 1
      93: 2q+1
      94: q+1
      95: 2q+1
      96: q+1
      97: 2q+1
      98: q+1
      99: q+1
     100: 2q+1
     101: 2q+1
     102: 2q+1
     104: 2q+1
     106: q+1
     108: q^2+2q+1
     109: q+1
     110: q+1
     111: q+1
     112: 1
     113: 1
     114: q+1
     115: 1
     116: q+1
     117: 1
     118: 2q^2+3q+1
     119: 2q^2+2q+1
     120: q^2+3q+1
     121: q^2+q+1
     122: q+1
     123: 1
     124: 2q+1
     125: q+1
     126: q+1
     127: 1
     128: 1
     129: 1
     130: q+1
     132: 2q+1
     134: q+1
     135: 1
     136: q+1
     137: 1
     138: 1
     139: 1
     140: q^2+q+1
     141: 1
     142: q^2+2q+1
     143: q+1
     144: q+1
     145: 2q+1
     146: q+1
     147: q+1
     148: q+1
     149: 1
     150: q+1
     152: 1
     154: 1
     156: 1
     157: 1
     158: q+1
     159: q+1
     161: q+1
     162: 1
     163: q+1
     164: 1
     165: q^2+2q+1
     166: q+1
     167: q+1
     168: q+1
     169: 1
     170: 1
     171: 2q+1
     172: q+1
     173: q+1
     174: 1
     175: 1
     176: 1
     177: 2q+1
     178: q+1
     179: q+1
     180: 1
     181: 1
     182: 1
     183: 1
     185: 1
     187: q+1
     189: 1
     190: 1
     191: q+1
     192: 1
     193: 1
     194: q+1
     195: q+1
     196: 1
     197: q+1
     198: 1
     199: 1
     200: q+1
     201: q+1
     202: 1
     203: 1
     204: 1
     205: q+1
     207: 1
     209: 1
     211: q+1
     213: 1
     215: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: q+1
     222: 1
     230: 2q+1
     231: q+1
     232: q+1
     233: 1
     234: 1
     235: 1
     236: q+1
     237: 1
     239: 1
     242: 1
     244: 1
     246: 1
     248: 1
     250: 1
     258: 1
     260: q+1
     261: 1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     267: 1
     268: q+1
     270: 1
     272: 1
     274: q+1
     275: 1
     282: 1
     283: 1
     284: 1
     286: 1
     294: 1
     295: 1
     296: 1
     298: 1
     300: q+1
     301: 1
     303: 1
     306: 1
     308: 1
     310: 1
     316: 1
     327: 1
     329: 1
     333: 1
     335: 1
     336: 1
     337: 1
     338: 1
     345: 1
     347: 1
     351: 1
     361: 1
     362: 1
     369: 1
     371: 1
     404: 1
     406: 1
     420: 1
     421: 1
     462: 1

463:   0: q^2+3q+1
       1: q^2+3q+1
       2: q^3+3q^2+3q+1
       3: q^2+3q+1
       4: 3q^2+3q+1
       5: q+1
       6: q^2+3q+1
       7: 3q^2+3q+1
       8: q^3+3q^2+3q+1
       9: 3q^2+3q+1
      10: q+1
      11: q^3+2q^2+2q+1
      12: q+1
      13: 3q^2+3q+1
      14: 1
      15: q^3+2q^2+2q+1
      16: q^3+2q^2+2q+1
      17: 1
      18: q^2+q+1
      19: q^2+q+1
      20: q+1
      21: q+1
      22: 2q^2+2q+1
      23: 1
      24: 2q^2+2q+1
      25: q^2+q+1
      26: q^2+3q+1
      27: q^2+3q+1
      28: 3q^2+3q+1
      29: 3q^2+3q+1
      30: 1
      31: q^2+q+1
      32: q^2+3q+1
      33: 2q^2+3q+1
      34: q+1
      35: 1
      36: 2q^2+2q+1
      37: q^2+q+1
      38: q^2+3q+1
      39: q^2+3q+1
      40: 3q^2+3q+1
      41: q+1
      42: 3q^2+3q+1
      43: q^3+2q^2+2q+1
      44: 2q+1
      45: 2q+1
      46: q^2+2q+1
      47: q+1
      48: 1
      49: q^2+q+1
      50: q+1
      51: 2q^2+2q+1
      52: q^2+3q+1
      53: 3q^2+3q+1
      54: q+1
      55: 2q+1
      56: 2q+1
      57: q+1
      58: q+1
      59: 2q^2+2q+1
      60: 2q^2+2q+1
      61: 1
      62: q^2+q+1
      63: q^2+3q+1
      64: 2q^2+3q+1
      65: q+1
      66: 2q^2+2q+1
      67: 1
      68: q^2+q+1
      69: q^2+3q+1
      70: q+1
      71: 2q^2+3q+1
      72: 1
      73: 2q^2+2q+1
      74: q^2+q+1
      75: 2q+1
      76: 2q+1
      77: q^2+2q+1
      78: q+1
      79: 2q+1
      80: 2q+1
      81: 2q+1
      82: q+1
      83: 2q+1
      84: q+1
      85: 1
      86: q^2+q+1
      87: q+1
      88: q^2+2q+1
      89: q+1
      90: 2q^2+2q+1
      91: 1
      92: q^2+q+1
      93: 2q+1
      94: q+1
      95: 2q+1
      96: q+1
      97: 2q+1
      98: q+1
      99: q+1
     100: 2q+1
     101: 2q+1
     102: 2q+1
     104: 2q+1
     106: q+1
     108: q+1
     109: q^2+2q+1
     110: 1
     111: 1
     112: q+1
     113: q+1
     114: q+1
     115: 1
     116: q+1
     117: 1
     118: q^2+3q+1
     119: q+1
     120: 2q^2+3q+1
     121: 1
     122: 2q^2+2q+1
     123: q^2+q+1
     124: q+1
     125: 1
     126: 2q+1
     127: 1
     128: q+1
     129: 1
     130: q+1
     132: 2q+1
     134: 1
     135: q+1
     136: 1
     137: q+1
     138: 1
     139: 1
     140: 1
     141: q^2+q+1
     142: q+1
     143: q^2+2q+1
     144: q+1
     145: 2q+1
     146: q+1
     147: q+1
     148: 1
     149: q+1
     150: q+1
     152: 1
     154: 1
     156: 1
     157: 1
     158: q+1
     159: q+1
     161: q+1
     162: 1
     163: q+1
     164: 1
     165: q+1
     166: 1
     167: q^2+2q+1
     168: 1
     169: q+1
     170: q+1
     171: q+1
     172: 1
     173: 2q+1
     174: 1
     175: q+1
     176: 1
     177: q+1
     178: 1
     179: 2q+1
     180: 1
     181: q+1
     182: 1
     183: 1
     185: 1
     187: q+1
     189: 1
     190: 1
     191: 1
     192: q+1
     193: 1
     194: q+1
     195: 1
     196: q+1
     197: 1
     198: q+1
     199: 1
     200: q+1
     201: 1
     202: q+1
     203: 1
     204: 1
     205: q+1
     207: 1
     209: 1
     211: q+1
     213: 1
     215: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: q+1
     230: q+1
     231: 1
     232: 2q+1
     233: 1
     234: q+1
     235: 1
     238: q+1
     240: 1
     241: 1
     242: 1
     244: 1
     246: 1
     248: 1
     250: 1
     258: 1
     260: 1
     261: q+1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     267: 1
     268: q+1
     270: 1
     272: 1
     274: 1
     275: q+1
     282: 1
     283: 1
     285: 1
     287: 1
     294: 1
     295: 1
     296: 1
     298: 1
     302: q+1
     304: 1
     305: 1
     306: 1
     308: 1
     310: 1
     316: 1
     327: 1
     329: 1
     333: 1
     335: 1
     336: 1
     337: 1
     338: 1
     346: 1
     348: 1
     352: 1
     363: 1
     365: 1
     369: 1
     371: 1
     405: 1
     407: 1
     422: 1
     424: 1
     463: 1

464:   0: q+1
       1: q^2+q+1
       2: q+1
       3: q+1
       4: q+1
       5: q^2+q+1
       6: q^2+q+1
       7: 1
       8: q+1
       9: q+1
      10: q^2+q+1
      11: 1
      12: q^2+q+1
      13: 1
      14: q^2+q+1
      15: 1
      16: 1
      17: q^3+q^2+q+1
      18: 1
      20: q^2+q+1
      21: q^2+q+1
      22: 1
      23: q^2+q+1
      24: 1
      25: 1
      26: q+1
      27: q+1
      28: 1
      29: 1
      30: q^2+q+1
      32: q+1
      33: q+1
      34: q^2+q+1
      35: q^2+q+1
      36: 1
      37: 1
      38: q+1
      39: q^2+q+1
      40: q+1
      41: q^2+q+1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      48: q^2+q+1
      49: 1
      50: q^2+q+1
      51: 1
      52: q+1
      53: 1
      54: 1
      55: 1
      56: 1
      57: q+1
      58: q+1
      59: 1
      60: 1
      61: q^2+q+1
      63: q+1
      64: 1
      65: q+1
      66: 1
      67: q^2+q+1
      69: q+1
      70: q^2+q+1
      71: q+1
      72: q^2+q+1
      73: 1
      74: 1
      75: 1
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: 1
      82: 1
      83: 1
      84: 1
      85: q+1
      87: q+1
      88: 1
      89: q+1
      90: 1
      91: q^2+q+1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     106: 1
     108: q+1
     109: 1
     110: q+1
     111: q^2+q+1
     112: 1
     114: 1
     115: 1
     116: 1
     117: 1
     118: q+1
     119: q+1
     120: 1
     121: q^2+q+1
     122: 1
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     132: 1
     134: q+1
     136: q+1
     137: 1
     138: 1
     139: 1
     140: q+1
     142: q+1
     143: 1
     144: 1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     152: 1
     154: 1
     156: 1
     157: 1
     158: 1
     159: 1
     165: q+1
     166: q+1
     167: 1
     168: q^2+q+1
     169: 1
     171: 1
     172: 1
     173: 1
     174: 1
     175: 1
     176: 1
     177: 1
     178: 1
     180: 1
     183: 1
     185: 1
     187: 1
     191: q+1
     193: 1
     195: q+1
     197: q+1
     198: 1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     207: 1
     209: 1
     217: 1
     218: 1
     219: 1
     221: 1
     230: 1
     231: 1
     233: 1
     236: 1
     237: 1
     239: 1
     242: 1
     244: 1
     250: 1
     260: q+1
     263: 1
     264: 1
     265: 1
     266: 1
     274: 1
     282: 1
     284: 1
     286: 1
     294: 1
     295: 1
     297: 1
     300: 1
     301: 1
     303: 1
     308: 1
     325: 1
     335: 1
     337: 1
     345: 1
     347: 1
     351: 1
     361: 1
     362: 1
     364: 1
     399: 1
     402: 1
     404: 1
     406: 1
     464: 1

465:   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: q+1
      10: 1
      11: q^2+q+1
      12: 1
      13: q^2+q+1
      14: 1
      15: q^2+q+1
      16: q^2+q+1
      18: q^2+q+1
      19: q^3+q^2+q+1
      20: 1
      21: 1
      22: q^2+q+1
      23: 1
      24: q^2+q+1
      25: q^2+q+1
      26: 1
      27: 1
      28: q+1
      29: q+1
      31: q^2+q+1
      32: q+1
      33: q+1
      34: 1
      35: 1
      36: q^2+q+1
      37: q^2+q+1
      38: q+1
      39: 1
      40: q+1
      41: 1
      42: q^2+q+1
      43: q^2+q+1
      44: 1
      45: 1
      46: 1
      47: 1
      48: 1
      49: q^2+q+1
      50: 1
      51: q^2+q+1
      52: 1
      53: q+1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: q+1
      60: q+1
      62: q^2+q+1
      63: 1
      64: q+1
      65: 1
      66: q+1
      68: q^2+q+1
      69: q+1
      70: 1
      71: q+1
      72: 1
      73: q^2+q+1
      74: q^2+q+1
      75: 1
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: 1
      82: 1
      83: 1
      84: 1
      86: q+1
      87: 1
      88: q+1
      89: 1
      90: q+1
      91: 1
      92: q^2+q+1
      93: 1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     106: 1
     108: 1
     109: q+1
     110: 1
     112: q+1
     113: q^2+q+1
     114: 1
     115: 1
     116: 1
     117: 1
     118: 1
     119: 1
     120: q+1
     122: q+1
     123: q^2+q+1
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     132: 1
     135: q+1
     136: 1
     137: q+1
     138: 1
     139: 1
     141: q+1
     142: 1
     143: q+1
     144: 1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     152: 1
     154: 1
     156: 1
     157: 1
     158: 1
     159: 1
     165: 1
     166: 1
     167: q+1
     169: q+1
     170: q^2+q+1
     171: 1
     172: 1
     173: 1
     174: 1
     175: 1
     176: 1
     179: 1
     181: 1
     182: 1
     183: 1
     185: 1
     187: 1
     192: q+1
     193: 1
     196: q+1
     197: 1
     198: q+1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     207: 1
     209: 1
     217: 1
     218: 1
     220: 1
     222: 1
     232: 1
     234: 1
     235: 1
     238: 1
     240: 1
     241: 1
     242: 1
     244: 1
     250: 1
     261: q+1
     263: 1
     264: 1
     265: 1
     267: 1
     275: 1
     283: 1
     285: 1
     287: 1
     296: 1
     298: 1
     299: 1
     302: 1
     304: 1
     305: 1
     308: 1
     326: 1
     336: 1
     338: 1
     346: 1
     348: 1
     352: 1
     363: 1
     365: 1
     366: 1
     400: 1
     403: 1
     405: 1
     407: 1
     465: 1

466:   0: q^2+4q+1
       1: q^2+4q+1
       2: 2q^2+3q+1
       3: q^2+4q+1
       4: q^2+4q+1
       5: 2q+1
       6: q^2+4q+1
       7: q^2+4q+1
       8: 2q^2+3q+1
       9: q^2+4q+1
      10: 2q+1
      11: 2q+1
      12: q^3+2q^2+2q+1
      13: q^2+4q+1
      14: q^2+q+1
      15: 2q+1
      16: q^3+2q^2+2q+1
      17: q^2+q+1
      18: q^2+q+1
      19: q^2+q+1
      20: 2q+1
      21: 2q+1
      22: 2q+1
      23: q^2+q+1
      24: 2q+1
      25: q^2+q+1
      26: q^2+4q+1
      27: q^2+4q+1
      28: q^2+4q+1
      29: q^2+4q+1
      30: q^2+q+1
      31: q^2+q+1
      32: 3q+1
      33: 3q+1
      34: q^2+2q+1
      35: q+1
      36: q^2+2q+1
      37: q+1
      38: q^2+4q+1
      39: q^2+4q+1
      40: q^2+4q+1
      41: 2q+1
      42: q^2+4q+1
      43: 2q+1
      44: 4q+1
      45: 4q+1
      46: q^2+3q+1
      47: 2q+1
      48: q+1
      49: q+1
      50: 2q+1
      51: 2q+1
      52: q^2+4q+1
      53: q^2+4q+1
      54: 2q+1
      55: 4q+1
      56: 3q+1
      57: 2q+1
      58: 2q+1
      59: 2q+1
      60: 2q+1
      61: q^2+q+1
      62: q^2+q+1
      63: 3q+1
      64: 3q+1
      65: q^2+2q+1
      66: q^2+2q+1
      67: q+1
      68: q+1
      69: 3q+1
      70: q^2+2q+1
      71: 3q+1
      72: q+1
      73: q^2+2q+1
      74: q+1
      75: 4q+1
      76: 4q+1
      77: q^2+3q+1
      78: 2q+1
      79: 3q+1
      80: 3q+1
      81: 3q+1
      82: q+1
      83: 3q+1
      84: q+1
      85: q+1
      86: q+1
      87: q+1
      88: q+1
      89: 2q+1
      90: 2q+1
      91: q+1
      92: q+1
      93: 3q+1
      94: 2q+1
      95: 4q+1
      96: 2q+1
      97: 3q+1
      98: q+1
      99: q+1
     100: 3q+1
     101: 3q+1
     102: 3q+1
     104: 3q+1
     106: q+1
     108: q+1
     109: q+1
     110: q+1
     111: q+1
     112: q+1
     113: q+1
     114: q+2
     115: q+2
     116: q+2
     117: q+2
     118: 3q+1
     119: q^2+2q+1
     120: 3q+1
     121: q+1
     122: q^2+2q+1
     123: q+1
     124: q+1
     125: q+1
     126: q+1
     127: 1
     128: q+1
     129: 1
     130: q+1
     132: 3q+1
     134: q+1
     135: q+1
     136: 1
     137: 1
     138: 2
     139: q+2
     140: q+1
     141: q+1
     142: q+1
     143: q+1
     144: q+2
     145: 3q+1
     146: 2q+1
     147: q+1
     148: q+1
     149: q+1
     150: 1
     151: 1
     152: 1
     153: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: q+1
     159: q+1
     160: 1
     161: q+2
     162: q+2
     163: q+2
     164: q+2
     165: q+1
     166: q+1
     167: q+1
     168: q+1
     169: q+1
     170: q+1
     171: q+1
     172: q+1
     173: q+1
     174: 1
     175: q+1
     176: 1
     177: q+1
     178: q+1
     179: q+1
     180: 1
     181: q+1
     182: 1
     183: 1
     184: 1
     185: 1
     186: 1
     187: q+1
     189: q+2
     190: 2
     191: 1
     192: 1
     193: 2
     194: q+2
     195: q+1
     196: q+1
     197: 1
     198: 1
     199: 2
     200: q+1
     201: q+1
     202: q+1
     203: 1
     204: 1
     205: 1
     206: 1
     207: 1
     208: 1
     209: 1
     210: 1
     211: 1
     212: 1
     213: 1
     214: 1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: q+1
     222: q+1
     223: 1
     224: 2
     225: 1
     230: q+1
     231: q+1
     232: q+1
     233: 1
     234: q+1
     235: 1
     236: 1
     237: 1
     238: 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
     254: 1
     258: 2
     260: 1
     261: 1
     262: 2
     263: 2
     264: 1
     265: 1
     266: 1
     267: 1
     268: 1
     269: 1
     270: 1
     271: 1
     272: 1
     273: 1
     274: q+1
     275: q+1
     282: 1
     283: 1
     284: 1
     285: 1
     286: 1
     287: 1
     288: 1
     289: 2
     290: 1
     293: 1
     300: 1
     301: 1
     302: 1
     303: 1
     304: 1
     305: 1
     306: 1
     307: 1
     308: 1
     309: 1
     310: 1
     311: 1
     316: 1
     317: 1
     320: 1
     322: 1
     333: 2
     337: 1
     338: 1
     345: 1
     346: 1
     347: 1
     348: 1
     349: 1
     351: 1
     352: 1
     353: 1
     354: 1
     358: 1
     371: 1
     372: 1
     406: 1
     407: 1
     408: 1
     409: 1
     412: 1
     466: 1

467:   0: 2q^2+3q+1
       1: 2q+1
       2: q^3+2q^2+2q+1
       3: 2q^2+3q+1
       4: 2q^2+3q+1
       5: 2q+1
       6: 2q+1
       7: 2q+1
       8: q^3+2q^2+2q+1
       9: 2q^2+3q+1
      10: 2q+1
      11: 2q+1
      12: q^2+q+1
      13: 2q+1
      14: q^2+q+1
      15: 2q+1
      16: q^2+q+1
      18: q^2+q+1
      20: 2q+1
      21: 2q+1
      22: 2q+1
      23: q^2+q+1
      24: 2q+1
      25: q^2+q+1
      26: 2q+1
      27: 2q+1
      28: 2q+1
      29: 2q+1
      32: q^2+2q+1
      33: q^2+2q+1
      34: q+1
      35: q+1
      36: q+1
      37: q+1
      38: 2q^2+3q+1
      39: 2q+1
      40: 2q^2+3q+1
      41: 2q+1
      42: 2q+1
      43: 2q+1
      44: 2q^2+3q+1
      45: 2q+1
      46: q^3+2q^2+2q+1
      47: 2q+1
      48: q+1
      49: q+1
      50: 2q+1
      51: 2q+1
      52: 2q+1
      53: 2q+1
      54: 2q+1
      55: 2q+1
      56: q^2+2q+1
      57: 2q+1
      58: 2q+1
      59: 2q+1
      60: 2q+1
      63: q+1
      64: q+1
      65: q+1
      66: q+1
      69: q^2+2q+1
      70: q+1
      71: q^2+2q+1
      72: q+1
      73: q+1
      74: q+1
      75: 2q^2+3q+1
      76: 2q+1
      77: q^3+2q^2+2q+1
      78: 2q+1
      79: q^2+2q+1
      80: q+1
      81: q^2+2q+1
      82: q+1
      83: q+1
      84: q+1
      87: 1
      88: 1
      89: 2q+1
      90: 2q+1
      91: q+1
      92: q+1
      93: q^2+2q+1
      94: 2q+1
      95: 2q+1
      96: 2q+1
      97: q+1
      98: q+1
      99: q+1
     100: q+1
     101: q+1
     102: q^2+2q+1
     104: q+1
     106: q+1
     108: q+1
     109: q+1
     110: q+1
     112: q+1
     114: q^2+3q+2
     115: q+2
     116: q^2+3q+2
     117: q+2
     118: q+1
     119: q+1
     120: q+1
     122: q+1
     124: q+1
     125: 1
     126: q+1
     127: 1
     128: 1
     129: 1
     130: q+1
     132: q+1
     136: 1
     137: 1
     138: 2
     139: q+2
     142: 1
     143: 1
     144: q^2+3q+2
     145: q+1
     146: 2q+1
     147: q+1
     148: 1
     149: 1
     150: q+1
     151: q+1
     152: 1
     153: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: q+1
     159: q+1
     160: q+1
     161: q+2
     162: q+2
     163: q+2
     165: q+1
     166: q+1
     167: q+1
     169: q+1
     171: q+1
     172: 1
     173: q+1
     174: 1
     175: 1
     176: 1
     177: 1
     178: 1
     179: 1
     181: 1
     183: 1
     184: 1
     185: 1
     186: 1
     187: q+1
     190: 2
     193: 2
     194: q+2
     197: 1
     198: 1
     199: 2
     200: q+1
     201: 1
     202: 1
     203: 1
     204: 1
     205: q+1
     206: q+1
     207: 1
     208: 1
     209: 1
     210: 1
     211: 1
     212: 1
     213: 1
     214: 1
     217: 1
     218: 1
     221: 1
     222: 1
     223: 1
     224: 2q+2
     225: q+1
     226: q+2
     227: q+2
     228: q+2
     230: 1
     231: 1
     232: 1
     234: 1
     236: 1
     237: 1
     238: 1
     240: 1
     242: 1
     243: 1
     244: 1
     245: 1
     248: 1
     249: 1
     250: 1
     251: 1
     252: q+1
     254: q+1
     257: 2
     259: q+2
     262: 2
     263: 2
     264: 1
     265: 1
     268: 1
     269: 1
     270: 1
     271: 1
     274: 1
     275: 1
     276: 1
     277: 1
     278: 1
     279: 1
     286: 1
     287: 1
     288: 1
     289: 2
     290: 1
     293: 1
     300: 1
     301: 1
     302: 1
     304: 1
     306: 1
     307: 1
     308: 1
     309: 1
     314: 1
     315: 1
     320: 1
     322: 1
     334: 2
     339: 1
     340: 1
     341: 1
     342: 1
     347: 1
     348: 1
     349: 1
     353: 1
     354: 1
     355: 2
     358: 1
     373: 1
     374: 1
     387: 1
     389: 1
     408: 1
     409: 1
     413: 1
     467: 1

468:   0: 2q^2+3q+1
       1: q+1
       2: 2q^2+3q+1
       3: 2q^2+3q+1
       4: 2q^2+3q+1
       5: q+1
       6: q+1
       7: q+1
       8: 2q^2+3q+1
       9: 2q^2+3q+1
      10: q+1
      11: q+1
      12: q+1
      13: q+1
      14: q+1
      15: q+1
      16: q+1
      18: 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
      32: 2q^2+3q+1
      33: 2q^2+3q+1
      34: q+1
      35: q+1
      36: q+1
      37: q+1
      38: 2q^2+3q+1
      39: q+1
      40: 2q^2+3q+1
      41: q+1
      42: q+1
      43: q+1
      44: q^2+3q+1
      45: q+1
      46: q^2+3q+1
      47: q+1
      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: q^2+3q+1
      57: q+1
      58: q+1
      59: q+1
      60: q+1
      63: q+1
      64: q+1
      65: q+1
      66: q+1
      69: 2q^2+3q+1
      70: q+1
      71: 2q^2+3q+1
      72: q+1
      73: q+1
      74: q+1
      75: q^2+3q+1
      76: q+1
      77: q^2+3q+1
      78: q+1
      79: 2q+1
      80: 1
      81: 2q+1
      82: 1
      83: 1
      84: 1
      87: q+1
      88: q+1
      89: q+1
      90: q+1
      91: q+1
      92: q+1
      93: q^2+3q+1
      94: q+1
      95: q+1
      96: q+1
      97: q+1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 2q+1
     104: 1
     106: 1
     108: q+1
     109: q+1
     110: q+1
     112: q+1
     114: q^2+3q+1
     115: q+1
     116: q^2+3q+1
     117: q+1
     118: q+1
     119: q+1
     120: q+1
     122: q+1
     124: 2q+1
     125: 1
     126: 2q+1
     127: 1
     128: 1
     129: 1
     130: 1
     132: 1
     136: q+1
     137: q+1
     138: q+1
     139: q+1
     142: q+1
     143: q+1
     144: q^2+3q+1
     145: q+1
     146: q+1
     147: q+1
     148: 1
     149: 1
     150: 2q+1
     152: 1
     154: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: q+1
     165: q+1
     166: q+1
     167: q+1
     169: q+1
     171: 2q+1
     172: 1
     173: 2q+1
     174: 1
     175: 1
     176: 1
     177: 1
     178: 1
     179: 1
     181: 1
     183: 1
     185: 1
     187: 1
     193: q+1
     197: q+1
     198: q+1
     199: q+1
     200: q+1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 2q+1
     207: 1
     209: 1
     217: 1
     218: 1
     221: 1
     222: 1
     223: 1
     224: q+1
     225: q+1
     230: 1
     231: 1
     232: 1
     234: 1
     236: 1
     237: 1
     238: 1
     240: 1
     242: 1
     244: 1
     250: 1
     252: q+1
     263: q+1
     264: 1
     265: 1
     274: 1
     275: 1
     286: 1
     287: 1
     288: 1
     290: 1
     293: 1
     294: 1
     295: 1
     296: 1
     298: 1
     300: 1
     301: 1
     302: 1
     304: 1
     308: 1
     335: 1
     336: 1
     347: 1
     348: 1
     349: 1
     350: 1
     354: 1
     358: 1
     361: 1
     362: 1
     363: 1
     365: 1
     404: 1
     405: 1
     408: 1
     410: 1
     411: 1
     468: 1

469:   0: 2q^2+3q+1
       1: 2q^2+3q+1
       2: 2q^2+3q+1
       3: q+1
       4: 2q^2+3q+1
       5: q^2+q+1
       6: q+1
       7: 2q^2+3q+1
       8: 2q^2+3q+1
       9: q+1
      10: 1
      11: q^2+q+1
      12: q+1
      13: q+1
      14: 1
      15: 1
      16: q+1
      17: 1
      18: 1
      19: 1
      20: q^2+q+1
      21: 1
      22: q^2+q+1
      23: 1
      24: 1
      25: 1
      26: 2q^2+3q+1
      27: q+1
      28: 2q^2+3q+1
      29: q+1
      30: 1
      31: 1
      32: 2q^2+3q+1
      33: 2q^2+3q+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: 2q^2+3q+1
      45: 2q^2+3q+1
      46: 2q^2+3q+1
      47: q^2+q+1
      48: 1
      49: 1
      50: 1
      51: 1
      52: q+1
      53: q+1
      54: q^2+q+1
      55: 2q^2+3q+1
      56: 2q^2+3q+1
      57: q^2+q+1
      58: 1
      59: q^2+q+1
      60: 1
      61: 1
      62: 1
      63: 2q^2+3q+1
      64: 2q^2+3q+1
      65: q+1
      66: q+1
      67: 1
      68: 1
      69: q+1
      70: q+1
      71: q+1
      72: 1
      73: q+1
      74: 1
      75: 1
      76: 1
      77: q^2+2q+1
      78: 1
      79: q+1
      80: q+1
      81: q+1
      82: 1
      83: q+1
      84: 1
      85: 1
      86: 1
      87: q+1
      88: q+1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: q^2+q+1
      97: 2q^2+3q+1
      98: 1
      99: 1
     100: q+1
     101: q+1
     102: 1
     104: 1
     106: 1
     108: q^2+q+1
     109: q^2+q+1
     110: 1
     111: 1
     112: 1
     113: 1
     114: 1
     115: 1
     116: q^2+2q+1
     117: 1
     118: q+1
     119: q+1
     120: q+1
     121: 1
     122: q+1
     123: 1
     124: q+1
     125: q+1
     126: q+1
     127: 1
     128: q+1
     129: 1
     130: 1
     132: 1
     134: 1
     135: 1
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     142: q+1
     143: q+1
     144: 1
     145: 1
     146: 1
     147: q^2+q+1
     148: q+1
     149: q+1
     150: 1
     152: 1
     154: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     161: 1
     162: 1
     163: q^2+2q+1
     164: 1
     165: 1
     166: 1
     167: 1
     168: 1
     169: 1
     170: 1
     171: 2
     173: 2
     177: q+1
     178: q+1
     179: q+1
     180: 1
     181: q+1
     182: 1
     183: 1
     185: 1
     187: 1
     189: 1
     190: 1
     191: 1
     192: 1
     193: 1
     194: 1
     195: 1
     196: 1
     197: 1
     198: 1
     199: 1
     200: 1
     205: 2
     211: 1
     213: 1
     215: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: q+1
     222: q+1
     223: 1
     224: 1
     225: 2
     230: 2
     232: 2
     236: 1
     237: 1
     238: 1
     239: 1
     240: 1
     241: 1
     246: 1
     248: 1
     250: 1
     252: 1
     253: 1
     258: 1
     260: 1
     261: 1
     262: 1
     263: 1
     268: 2
     282: 1
     283: 1
     284: 1
     285: 1
     286: 1
     287: 1
     288: 1
     289: 1
     290: 1
     293: 2
     294: 2
     296: 2
     300: 1
     302: 1
     316: 1
     320: 1
     321: 1
     327: 2
     333: 1
     350: 2
     351: 1
     352: 1
     353: 1
     354: 1
     358: 1
     361: 1
     363: 1
     379: 1
     380: 1
     411: 1
     412: 1
     420: 1
     422: 1
     469: 1

470:   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: q+1
      36: q+1
      37: q+1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: q+1
      45: q+1
      46: q+1
      47: q+1
      48: q+1
      49: q+1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 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: q+1
      65: q+1
      66: q+1
      67: q+1
      68: q+1
      69: 1
      70: 1
      71: 1
      72: 1
      73: 1
      74: 1
      75: 2
      76: 2
      77: q+1
      78: 2
      79: 1
      80: 1
      81: 1
      82: 1
      83: 1
      84: 1
      85: q+1
      86: q+1
      87: 1
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 1
      94: 2
      95: 2
      96: q+1
      97: q+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: q+1
     111: q+1
     112: q+1
     113: q+1
     114: 2
     115: 2
     116: q+1
     117: 2
     118: 1
     119: 1
     120: 1
     121: 1
     122: 1
     123: 1
     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+1
     136: 1
     137: 1
     138: 2
     139: 2
     140: 1
     141: 1
     142: 1
     143: 1
     144: 1
     145: 1
     146: 2
     147: q+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: 2
     162: 2
     163: q+1
     164: 2
     165: 1
     166: 1
     167: 1
     168: 1
     169: 1
     170: 1
     177: 1
     178: 1
     179: 1
     180: 1
     181: 1
     182: 1
     183: 1
     184: 1
     185: 1
     186: 1
     187: 1
     188: 1
     189: 2
     190: 2
     191: 1
     192: 1
     193: 2
     194: 1
     195: 1
     196: 1
     197: 1
     198: 1
     199: 1
     200: 1
     211: 1
     212: 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
     226: 2
     227: 2
     228: q+1
     229: 2
     236: 1
     237: 1
     238: 1
     239: 1
     240: 1
     241: 1
     246: 1
     247: 1
     248: 1
     249: 1
     250: 1
     251: 1
     256: 2
     257: 2
     258: 2
     259: 1
     260: 1
     261: 1
     262: 1
     263: 1
     276: 1
     277: 1
     278: 1
     279: 1
     280: 1
     281: 1
     282: 1
     283: 1
     284: 1
     285: 1
     286: 1
     287: 1
     288: 1
     289: 1
     290: 1
     312: 1
     313: 1
     314: 1
     315: 1
     316: 1
     317: 1
     324: 2
     333: 1
     334: 1
     351: 1
     352: 1
     353: 1
     354: 1
     355: 1
     377: 1
     378: 1
     401: 1
     412: 1
     413: 1
     470: 1

471:   0: 2q+1
       1: q+1
       2: 2q+1
       3: q+1
       4: 2q+1
       5: 1
       6: q^3+q+1
       7: q+1
       8: 2q+1
       9: q+1
      10: 2q^3+1
      11: 1
      12: q^3+q+1
      13: 1
      14: 2q^3+1
      15: q^3+1
      16: 1
      17: q^3+1
      18: q^3+1
      20: 1
      21: q^3+1
      22: 1
      23: q^3+1
      24: 1
      25: 1
      26: q+1
      27: q+1
      28: q+1
      29: 1
      30: q^3+1
      32: 2q+1
      33: 2q+1
      34: q^3+q+1
      35: 2q^3+1
      36: 1
      37: q^3+1
      38: q+1
      39: q+1
      40: q+1
      41: 1
      42: 1
      43: 1
      44: 2q+1
      45: q+1
      46: 2q+1
      47: 1
      48: q^3+1
      49: 1
      50: 1
      51: 1
      52: q+1
      53: 1
      54: 1
      55: q+1
      56: 2q+1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      63: q+1
      64: q+1
      65: q+1
      66: 1
      67: q^3+1
      69: q+1
      70: q+1
      71: q+1
      72: 1
      73: 1
      74: 1
      75: 1
      76: 1
      77: q+1
      78: q^2+1
      79: q+1
      80: q+1
      81: q+1
      82: 1
      83: 1
      84: 1
      85: 1
      87: q+1
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 1
      97: q+1
      98: 1
      99: 1
     100: q+1
     101: 1
     102: 1
     104: 1
     106: 1
     107: q^2
     108: 1
     109: 1
     110: 1
     111: 1
     112: 1
     114: 1
     115: 1
     116: q+1
     117: q^2+1
     118: q+1
     119: q+1
     120: 1
     121: 1
     122: 1
     124: q+1
     125: q+1
     126: q+1
     127: 1
     128: 1
     129: 1
     130: 1
     132: 1
     134: 1
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     142: q+1
     143: 1
     144: 1
     145: 1
     146: 1
     147: 1
     148: q+1
     149: 1
     150: 1
     152: 1
     154: 1
     155: q^2
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     165: 1
     166: 1
     167: 1
     168: 1
     169: 1
     171: 2
     172: 1
     173: 2
     174: 1
     175: 1
     176: 1
     177: q+1
     178: q+1
     179: 1
     180: 1
     181: 1
     183: 1
     185: 1
     187: 1
     191: 1
     193: 1
     195: 1
     197: 1
     198: 1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 2
     207: 1
     209: 1
     217: 1
     218: 1
     219: 1
     221: q+1
     222: 1
     223: 1
     224: 1
     225: 2
     230: 1
     231: 1
     232: 1
     233: 1
     236: 1
     237: 1
     238: 1
     239: 1
     240: 1
     242: 1
     244: 1
     250: 1
     252: 1
     253: 1
     260: 1
     263: 1
     264: 1
     265: 1
     266: 1
     274: 1
     282: 1
     284: 1
     286: 1
     287: 1
     288: 1
     290: 1
     291: 1
     292: 1
     293: 1
     294: 1
     295: 1
     296: 1
     297: 1
     308: 1
     318: 1
     325: 1
     335: 1
     337: 1
     350: 1
     351: 1
     354: 1
     356: 1
     357: 1
     359: 1
     385: 1
     402: 1
     414: 1
     416: 1
     471: 1

472:   0: 2q+1
       1: q+1
       2: 2q+1
       3: q+1
       4: 2q+1
       5: 1
       6: 1
       7: q+1
       8: 2q+1
       9: q+1
      10: q^3+1
      11: 1
      12: 1
      13: q^3+q+1
      14: q^3+1
      15: 2q^3+1
      16: q^3+q+1
      18: 2q^3+1
      19: q^3+1
      20: 1
      21: 1
      22: 1
      23: 1
      24: q^3+1
      25: q^3+1
      26: q+1
      27: 1
      28: q+1
      29: q+1
      31: q^3+1
      32: 2q+1
      33: 2q+1
      34: 1
      35: q^3+1
      36: q^3+q+1
      37: 2q^3+1
      38: q+1
      39: 1
      40: q+1
      41: 1
      42: q+1
      43: 1
      44: 2q+1
      45: q+1
      46: 2q+1
      47: 1
      48: 1
      49: q^3+1
      50: 1
      51: 1
      52: 1
      53: q+1
      54: 1
      55: q+1
      56: 2q+1
      57: 1
      58: 1
      59: 1
      60: 1
      62: 1
      63: q+1
      64: q+1
      65: 1
      66: q+1
      68: q^3+1
      69: q+1
      70: 1
      71: q+1
      72: 1
      73: q+1
      74: 1
      75: 1
      76: 1
      77: q+1
      78: q^2+1
      79: q+1
      80: 1
      81: q+1
      82: 1
      83: q+1
      84: 1
      86: 1
      87: 1
      88: q+1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 1
      97: q+1
      98: 1
      99: 1
     100: 1
     101: q+1
     102: 1
     104: 1
     106: 1
     107: q^2
     108: 1
     109: 1
     110: 1
     112: 1
     113: 1
     114: 1
     115: 1
     116: q+1
     117: q^2+1
     118: 1
     119: 1
     120: q+1
     122: q+1
     123: 1
     124: q+1
     125: 1
     126: q+1
     127: 1
     128: q+1
     129: 1
     130: 1
     132: 1
     135: 1
     136: 1
     137: 1
     138: 1
     139: 1
     141: 1
     142: 1
     143: q+1
     144: 1
     145: 1
     146: 1
     147: 1
     148: 1
     149: q+1
     150: 1
     152: 1
     154: 1
     155: q^2
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     165: 1
     166: 1
     167: 1
     169: 1
     170: 1
     171: 2
     172: 1
     173: 2
     174: 1
     175: 1
     176: 1
     177: 1
     178: 1
     179: q+1
     181: q+1
     182: 1
     183: 1
     185: 1
     187: 1
     192: 1
     193: 1
     196: 1
     197: 1
     198: 1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 2
     207: 1
     209: 1
     217: 1
     218: 1
     220: 1
     221: 1
     222: q+1
     223: 1
     224: 1
     225: 2
     230: 1
     232: 1
     234: 1
     235: 1
     236: 1
     237: 1
     238: 1
     240: 1
     241: 1
     242: 1
     244: 1
     250: 1
     252: 1
     253: 1
     261: 1
     263: 1
     264: 1
     265: 1
     267: 1
     275: 1
     283: 1
     285: 1
     286: 1
     287: 1
     288: 1
     290: 1
     291: 1
     292: 1
     293: 1
     294: 1
     296: 1
     298: 1
     299: 1
     308: 1
     318: 1
     326: 1
     336: 1
     338: 1
     350: 1
     352: 1
     354: 1
     356: 1
     357: 1
     360: 1
     385: 1
     403: 1
     415: 1
     417: 1
     472: 1

473:   0: 2q^2+3q+1
       1: q+1
       2: 2q^2+3q+1
       3: q^2+2q+1
       4: 2q^2+3q+1
       5: q+1
       6: q^3+q+1
       7: q+1
       8: 2q^2+3q+1
       9: q^2+2q+1
      10: q^3+q+1
      11: q+1
      12: q^3+q+1
      13: 1
      14: q^3+q+1
      15: 1
      16: 1
      18: 1
      20: q+1
      21: q^3+q+1
      22: q+1
      23: q^3+q+1
      24: 1
      25: 1
      26: q+1
      27: q+1
      28: q+1
      29: 1
      32: 2q^2+3q+1
      33: 2q^2+3q+1
      34: q^3+q+1
      35: q^3+q+1
      36: 1
      37: 1
      38: q^2+2q+1
      39: q+1
      40: q^2+2q+1
      41: q+1
      42: 1
      43: 1
      44: 2q^2+3q+1
      45: q+1
      46: 2q^2+3q+1
      47: q+1
      48: q^3+q+1
      49: 1
      50: q+1
      51: 1
      52: q+1
      53: 1
      54: q+1
      55: q+1
      56: 2q^2+3q+1
      57: q+1
      58: q+1
      59: q+1
      60: 1
      63: q+1
      64: q+1
      65: q+1
      66: 1
      69: q^2+2q+1
      70: q+1
      71: q^2+2q+1
      72: q+1
      73: 1
      74: 1
      75: q+1
      76: 1
      77: q^2+2q+1
      78: 1
      79: q^2+2q+1
      80: q+1
      81: q^2+2q+1
      82: q+1
      83: 1
      84: 1
      87: q+1
      88: 1
      89: q+1
      90: 1
      91: q+1
      92: 1
      93: q+1
      94: 1
      95: 1
      96: q+1
      97: q+1
      98: q+1
      99: 1
     100: q+1
     101: 1
     102: q+1
     104: 1
     106: 1
     108: q+1
     109: q+1
     110: q+1
     112: 1
     114: q+1
     115: 1
     116: q^2+2q+1
     117: 1
     118: q+1
     119: q+1
     120: 1
     122: 1
     124: q^2+2q+1
     125: q+1
     126: q^2+2q+1
     127: q+1
     128: 1
     129: 1
     130: 1
     132: 1
     136: q+1
     137: 1
     138: 1
     139: 1
     142: q+1
     143: 1
     144: q+1
     145: 1
     146: 1
     147: q+1
     148: q+1
     149: 1
     150: q+1
     152: 1
     154: 1
     156: q+1
     157: 1
     158: q+1
     159: 1
     160: q+1
     165: q+1
     166: q+1
     167: 1
     169: 1
     171: 2q+2
     172: 1
     173: 2q+2
     174: 1
     175: 1
     176: 1
     177: q+1
     178: q+1
     179: 1
     181: 1
     183: 1
     185: 1
     187: 1
     193: 1
     197: q+1
     198: 1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 2q+2
     207: 1
     209: 1
     217: q+1
     218: 1
     221: q+1
     222: 1
     223: 1
     224: q+1
     225: 2q+2
     230: 1
     231: 1
     232: 1
     236: q+1
     237: q+1
     238: 1
     240: 1
     242: 1
     244: 1
     250: 1
     252: q+1
     253: q+1
     263: 1
     264: 1
     265: 1
     274: 1
     286: q+1
     287: 1
     288: 1
     290: 1
     291: 1
     292: 1
     293: 1
     294: 1
     295: 1
     296: 1
     300: 1
     301: 1
     302: 1
     308: 1
     318: 1
     335: 1
     347: 1
     350: 1
     354: 1
     356: 1
     357: 1
     358: 1
     359: 1
     361: 1
     362: 1
     363: 1
     385: 1
     404: 1
     411: 1
     416: 1
     418: 1
     473: 1

474:   0: 2q^2+3q+1
       1: q+1
       2: 2q^2+3q+1
       3: q^2+2q+1
       4: 2q^2+3q+1
       5: q+1
       6: 1
       7: q+1
       8: 2q^2+3q+1
       9: q^2+2q+1
      10: 1
      11: q+1
      12: 1
      13: q^3+q+1
      14: 1
      15: q^3+q+1
      16: q^3+q+1
      18: q^3+q+1
      20: q+1
      21: 1
      22: q+1
      23: 1
      24: q^3+q+1
      25: q^3+q+1
      26: q+1
      27: 1
      28: q+1
      29: q+1
      32: 2q^2+3q+1
      33: 2q^2+3q+1
      34: 1
      35: 1
      36: q^3+q+1
      37: q^3+q+1
      38: q^2+2q+1
      39: 1
      40: q^2+2q+1
      41: 1
      42: q+1
      43: q+1
      44: 2q^2+3q+1
      45: q+1
      46: 2q^2+3q+1
      47: q+1
      48: 1
      49: q^3+q+1
      50: 1
      51: q+1
      52: 1
      53: q+1
      54: q+1
      55: q+1
      56: 2q^2+3q+1
      57: q+1
      58: 1
      59: q+1
      60: q+1
      63: q+1
      64: q+1
      65: 1
      66: q+1
      69: q^2+2q+1
      70: 1
      71: q^2+2q+1
      72: 1
      73: q+1
      74: q+1
      75: q+1
      76: 1
      77: q^2+2q+1
      78: 1
      79: q^2+2q+1
      80: 1
      81: q^2+2q+1
      82: 1
      83: q+1
      84: q+1
      87: 1
      88: q+1
      89: 1
      90: q+1
      91: 1
      92: q+1
      93: q+1
      94: 1
      95: 1
      96: q+1
      97: q+1
      98: 1
      99: q+1
     100: 1
     101: q+1
     102: q+1
     104: 1
     106: 1
     108: q+1
     109: q+1
     110: 1
     112: q+1
     114: q+1
     115: 1
     116: q^2+2q+1
     117: 1
     118: 1
     119: 1
     120: q+1
     122: q+1
     124: q^2+2q+1
     125: 1
     126: q^2+2q+1
     127: 1
     128: q+1
     129: q+1
     130: 1
     132: 1
     136: 1
     137: q+1
     138: 1
     139: 1
     142: 1
     143: q+1
     144: q+1
     145: 1
     146: 1
     147: q+1
     148: 1
     149: q+1
     150: q+1
     152: 1
     154: 1
     156: 1
     157: q+1
     158: 1
     159: q+1
     160: q+1
     165: 1
     166: 1
     167: q+1
     169: q+1
     171: 2q+2
     172: 1
     173: 2q+2
     174: 1
     175: 1
     176: 1
     177: 1
     178: 1
     179: q+1
     181: q+1
     183: 1
     185: 1
     187: 1
     193: 1
     197: 1
     198: q+1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 2q+2
     207: 1
     209: 1
     217: 1
     218: q+1
     221: 1
     222: q+1
     223: 1
     224: q+1
     225: 2q+2
     230: 1
     232: 1
     234: 1
     236: 1
     237: 1
     238: q+1
     240: q+1
     242: 1
     244: 1
     250: 1
     252: q+1
     253: q+1
     263: 1
     264: 1
     265: 1
     275: 1
     286: 1
     287: q+1
     288: 1
     290: 1
     291: 1
     292: 1
     293: 1
     294: 1
     296: 1
     298: 1
     300: 1
     302: 1
     304: 1
     308: 1
     318: 1
     336: 1
     348: 1
     350: 1
     354: 1
     356: 1
     357: 1
     358: 1
     360: 1
     361: 1
     363: 1
     365: 1
     385: 1
     405: 1
     411: 1
     417: 1
     419: 1
     474: 1

475:   0: 1
       1: 1
       2: q+1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
       8: q+1
       9: 1
      10: 1
      11: 1
      12: q^3+1
      13: 1
      14: q^3+1
      15: 1
      17: q^3+1
      20: 1
      21: 1
      22: 1
      23: q^3+1
      24: 1
      26: 1
      27: 1
      28: 1
      29: 1
      30: q^3+1
      32: 1
      33: 1
      34: 1
      35: 1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: q+1
      47: 1
      48: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: q^3+1
      63: 1
      64: 1
      65: 1
      67: 1
      69: 1
      70: 1
      71: 1
      72: 1
      75: 1
      76: 1
      77: q+1
      78: 1
      79: 1
      80: 1
      81: 1
      82: 1
      83: 1
      84: 1
      85: 1
      87: 1
      89: 1
      90: 1
      91: 1
      93: 1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     106: 1
     108: 1
     109: 1
     110: 1
     111: 1
     118: 1
     119: 1
     120: 1
     121: 1
     124: 1
     125: 1
     126: 1
     127: 1
     130: 1
     132: 1
     134: 1
     136: 1
     140: 1
     142: 1
     145: 1
     146: 1
     147: 1
     148: 1
     156: 1
     158: 1
     159: 1
     160: 1
     165: 1
     166: 1
     167: 1
     168: 1
     171: 1
     172: 1
     173: 1
     174: 1
     177: 1
     178: 1
     179: 1
     180: 1
     187: 1
     191: 1
     195: 1
     197: 1
     200: 1
     201: 1
     203: 1
     217: 1
     219: 1
     221: 1
     223: 1
     225: 1
     230: 1
     231: 1
     232: 1
     233: 1
     236: 1
     237: 1
     238: 1
     239: 1
     260: 1
     264: 1
     266: 1
     274: 1
     282: 1
     284: 1
     286: 1
     290: 1
     291: 1
     293: 1
     300: 1
     301: 1
     302: 1
     303: 1
     337: 1
     345: 1
     347: 1
     351: 1
     356: 1
     358: 1
     359: 1
     406: 1
     414: 1
     418: 1
     475: 1

476:   0: 1
       1: 1
       2: q+1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
       8: q+1
       9: 1
      10: 1
      11: 1
      13: 1
      15: 1
      16: q^3+1
      18: q^3+1
      19: q^3+1
      20: 1
      21: 1
      22: 1
      24: 1
      25: q^3+1
      26: 1
      27: 1
      28: 1
      29: 1
      31: q^3+1
      32: 1
      33: 1
      36: 1
      37: 1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: q+1
      47: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      62: q^3+1
      63: 1
      64: 1
      66: 1
      68: 1
      69: 1
      71: 1
      73: 1
      74: 1
      75: 1
      76: 1
      77: q+1
      78: 1
      79: 1
      80: 1
      81: 1
      82: 1
      83: 1
      84: 1
      86: 1
      88: 1
      89: 1
      90: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     106: 1
     108: 1
     109: 1
     112: 1
     113: 1
     118: 1
     120: 1
     122: 1
     123: 1
     124: 1
     126: 1
     128: 1
     129: 1
     130: 1
     132: 1
     135: 1
     137: 1
     141: 1
     143: 1
     145: 1
     146: 1
     147: 1
     149: 1
     157: 1
     158: 1
     159: 1
     160: 1
     165: 1
     167: 1
     169: 1
     170: 1
     171: 1
     173: 1
     175: 1
     176: 1
     177: 1
     179: 1
     181: 1
     182: 1
     187: 1
     192: 1
     196: 1
     198: 1
     200: 1
     202: 1
     204: 1
     218: 1
     220: 1
     222: 1
     223: 1
     225: 1
     230: 1
     232: 1
     234: 1
     235: 1
     236: 1
     238: 1
     240: 1
     241: 1
     261: 1
     265: 1
     267: 1
     275: 1
     283: 1
     285: 1
     287: 1
     290: 1
     292: 1
     293: 1
     300: 1
     302: 1
     304: 1
     305: 1
     338: 1
     346: 1
     348: 1
     352: 1
     357: 1
     358: 1
     360: 1
     407: 1
     415: 1
     419: 1
     476: 1

477:   0: 1
       1: 1
       2: 1
       3: 1
       4: 1
       6: 1
       7: 1
       8: 1
       9: 1
      12: 1
      13: 1
      16: 1
      26: 1
      27: 1
      28: 1
      29: 1
      32: 1
      33: 1
      34: 1
      36: 1
      38: 1
      39: 1
      40: 1
      42: 1
      44: 1
      45: 1
      46: 1
      52: 1
      53: 1
      55: 1
      56: 1
      63: 1
      64: 1
      65: 1
      66: 1
      69: 1
      70: 1
      71: 1
      73: 1
      75: 1
      76: 1
      77: 1
      79: 1
      80: 1
      81: 1
      83: 1
      87: 1
      88: 1
      93: 1
      95: 1
      97: 1
     100: 1
     101: 1
     102: 1
     104: 1
     114: 1
     115: 1
     116: 1
     118: 1
     119: 1
     120: 1
     122: 1
     124: 1
     125: 1
     126: 1
     128: 1
     132: 1
     138: 1
     142: 1
     143: 1
     144: 1
     145: 1
     148: 1
     149: 1
     150: 1
     152: 1
     160: 1
     161: 1
     162: 1
     163: 1
     171: 1
     172: 1
     173: 1
     175: 1
     177: 1
     178: 1
     179: 1
     181: 1
     183: 1
     190: 1
     194: 1
     199: 1
     201: 1
     202: 1
     205: 1
     207: 1
     211: 1
     213: 1
     221: 1
     222: 1
     223: 1
     224: 1
     225: 1
     230: 1
     231: 1
     232: 1
     234: 1
     242: 1
     248: 1
     252: 1
     262: 1
     268: 1
     270: 1
     274: 1
     275: 1
     288: 1
     289: 1
     291: 1
     292: 1
     293: 1
     294: 1
     295: 1
     296: 1
     298: 1
     306: 1
     318: 1
     320: 1
     327: 1
     329: 1
     335: 1
     336: 1
     349: 1
     350: 1
     353: 1
     359: 1
     360: 1
     369: 1
     379: 1
     383: 1
     391: 1
     409: 1
     410: 1
     416: 1
     417: 1
     434: 1
     446: 1
     450: 1
     452: 1
     477: 1

478:   0: 2q
       1: 2q
       2: q^2+2q
       3: 2q
       4: 2q
       6: 2q
       7: 2q
       8: q^2+2q
       9: 2q
      12: q
      13: 2q
      16: q
      26: 2q
      27: 2q
      28: 2q
      29: 2q
      32: 2q
      33: 2q
      34: q
      36: q
      38: 2q
      39: 2q
      40: 2q
      42: 2q
      44: 2q
      45: 2q
      46: q^2+2q
      52: 2q
      53: 2q
      55: 2q
      56: 2q
      63: 2q
      64: 2q
      65: q
      66: q
      69: 2q
      70: q
      71: 2q
      73: q
      75: 2q
      76: 2q
      77: q^2+2q
      79: 2q
      80: 2q
      81: 2q
      83: 2q
      87: q
      88: q
      93: 2q
      95: 2q
      97: 2q
     100: 2q
     101: 2q
     102: 2q
     104: 2q
     114: q
     116: q
     118: 2q
     119: q
     120: 2q
     122: q
     124: 2q
     125: q
     126: 2q
     128: q
     132: 2q
     142: q
     143: q
     144: q
     145: 2q
     148: q
     149: q
     150: q
     160: 2q
     161: q
     163: q
     171: 2q
     172: q
     173: 2q
     175: q
     177: 2q
     178: q
     179: 2q
     181: q
     194: q
     201: q
     202: q
     205: q
     211: q
     221: q
     222: q
     223: 2q
     224: q
     225: 2q
     230: 2q
     231: q
     232: 2q
     234: q
     252: q
     268: q
     274: q
     275: q
     289: q
     291: q
     292: q
     293: 2q
     294: 1
     295: 1
     296: 1
     298: 1
     320: q
     327: 1
     329: 1
     335: 1
     336: 1
     350: 1
     359: q
     360: q
     369: 1
     380: 1
     410: 1
     416: 1
     417: 1
     435: 1
     446: 1
     452: 1
     478: 1

479:   0: q^3+q
       1: q
       2: q^3+q
       3: q
       4: q^3+q
       6: q^3+q
       7: q
       8: q^3+q
       9: q
      12: q^3+q
      13: q^3+q
      16: q^3+q
      26: q
      27: q
      28: q
      29: q
      32: q^3+q
      33: q^3+q
      34: q^3+q
      36: q^3+q
      38: q
      39: q
      40: q
      42: q
      44: q^3+q
      45: q
      46: q^3+q
      52: q
      53: q
      55: q
      56: q^3+q
      63: q
      64: q
      65: q
      66: q
      69: q
      70: q
      71: q
      73: q
      75: q
      76: q^2+q
      77: q^3+q
      79: q
      80: q
      81: q
      83: q
      87: q
      88: q
      93: q
      95: q
      97: q
     100: q
     101: q
     102: q
     104: q
     105: q^2
     114: q
     115: q^2+q
     116: q^3+q
     118: q
     119: q
     120: q
     122: q
     124: q
     125: q
     126: q
     128: q
     132: q
     138: q
     142: q
     143: q
     144: q
     145: q
     148: q
     149: q
     150: q
     152: q
     153: q^2
     160: q
     161: 2q
     162: 2q
     163: q
     171: q
     172: q
     173: q
     175: q
     177: q
     178: q
     179: q
     181: q
     183: q
     190: 2q
     194: q
     199: q
     201: q
     202: q
     205: q
     207: q
     211: q
     212: q
     213: q
     214: q
     221: q
     222: q
     223: q
     224: q
     225: q
     242: q
     248: q
     249: q
     252: q
     262: q
     271: q
     288: q
     289: q
     291: q
     292: q
     318: q
     330: q
     353: q
     409: 1
     436: 1
     450: 1
     479: 1

480:   0: q
       1: q
       2: q
       3: q^2+q
       4: q
       6: q^2+q
       7: q
       8: q
       9: q^2+q
      12: q^2+q
      13: q^2+q
      16: q^2+q
      26: q
      27: q^2+q
      28: q
      29: q^2+q
      32: q
      33: q
      34: q^2+q
      36: q^2+q
      38: q
      39: q
      40: q
      42: q
      44: q
      45: q
      46: q
      52: q
      53: q
      55: q
      56: q
      63: q
      64: q
      65: q^2+q
      66: q^2+q
      69: q
      70: q
      71: q
      73: q
      75: 2q
      76: 2q
      77: q
      79: q
      80: q
      81: q
      83: q
      87: q
      88: q
      93: q
      95: 2q
      97: q
     100: q
     101: q
     102: q
     103: q
     104: q
     105: q
     114: 2q
     115: 2q
     116: q
     118: q
     119: q
     120: q
     122: q
     124: q
     125: q
     126: q
     128: q
     132: q
     133: q
     138: 2q
     142: q
     143: q
     144: q
     145: q
     148: q
     149: q
     150: q
     151: q
     152: q
     153: q
     160: q
     161: 2q
     162: 2q
     163: q
     172: q
     175: q
     177: q
     178: q
     179: q
     181: q
     183: q
     184: q
     190: 2q
     194: q
     199: q
     207: q
     211: q
     212: q
     213: q
     214: q
     221: q
     222: q
     223: q
     224: q
     231: q
     234: q
     248: q
     249: q
     262: q
     270: q
     288: q
     289: q
     295: q
     298: q
     329: q
     349: 1
     353: q
     392: 1
     409: 1
     410: 1
     434: 1
     451: 1
     453: 1
     480: 1

481:   0: 2q^2
       1: 2q^2
       2: q^3+2q^2
       3: 2q^3+2q^2
       4: 2q^2
       6: 2q^3+2q^2
       7: 2q^2
       8: q^3+2q^2
       9: 2q^3+2q^2
      12: q^3+q^2
      13: 2q^3+2q^2
      16: q^3+q^2
      26: 2q^2
      27: 2q^3+2q^2
      28: 2q^2
      29: 2q^3+2q^2
      32: 2q^2
      33: 2q^2
      34: q^3+q^2
      36: q^3+q^2
      38: 2q^2
      39: 2q^2
      40: 2q^2
      42: 2q^2
      44: 2q^2
      45: 2q^2
      46: q^3+2q^2
      52: 2q^2
      53: 2q^2
      55: 2q^2
      56: 2q^2
      63: 2q^2
      64: 2q^2
      65: q^3+q^2
      66: q^3+q^2
      69: 2q^2
      70: q^2
      71: 2q^2
      73: q^2
      75: 3q^2
      76: 3q^2
      77: q^2
      79: 2q^2
      80: 2q^2
      81: 2q^2
      83: 2q^2
      87: q^2
      88: q^2
      93: q^2
      95: 3q^2
      97: 2q^2
     100: 2q^2
     101: 2q^2
     102: 2q^2
     103: q^2
     104: 2q^2
     105: q^2
     114: q^2
     118: 2q^2
     119: q^2
     120: 2q^2
     122: q^2
     124: 2q^2
     125: q^2
     126: 2q^2
     128: q^2
     132: 2q^2
     133: q^2
     142: q^2
     143: q^2
     145: q^2
     148: q^2
     149: q^2
     150: q^2
     160: q^2
     161: q^2
     172: q^2
     175: q^2
     177: 2q^2
     178: q^2
     179: 2q^2
     181: q^2
     211: q^2
     221: q^2
     222: q^2
     223: q^2
     231: q^2
     234: q^2
     295: q
     298: q
     329: q
     410: 1
     435: 1
     453: 1
     481: 1

482:   1: q^2
       6: q^2
       7: q^2
      12: q^2
      13: q^2
      16: q^2
      34: q^2
      36: q^2
      39: q^2
      42: q^2
      45: q^2
      70: q^2
      73: q^2
      76: q^2
      80: q^2
      83: q^2
     104: q^2
     115: q^2
     125: q^2
     128: q^2
     152: q^2
     161: 1
     162: 1
     163: 1
     172: q^2
     175: q^2
     190: 1
     194: 1
     207: q^2
     212: 1
     214: 1
     249: 1
     262: 1
     269: 1
     271: 1
     289: 1
     307: 1
     322: 1
     328: 1
     330: 1
     353: 1
     370: 1
     381: 1
     384: 1
     409: 1
     436: 1
     447: 1
     451: 1
     482: 1

483:   1: q^3
       6: q^3
       7: q^3
      13: q^3
      39: q^3
      42: q^3
      45: q^3
      76: q^3
      80: q^3
      83: q^3
     104: q^3
     161: q
     163: q
     194: q
     212: q
     269: q
     289: q
     322: q
     328: 1
     330: 1
     370: 1
     382: 1
     437: 1
     447: 1
     483: 1

484:   6: q^4
      13: q^4
      76: q^3
     105: q^3
     161: q^2
     212: q^2
     330: q
     437: 1
     484: 1

485:   0: 1
       1: 1
       2: 1
       3: q+1
       4: 1
       5: 1
       6: q+1
       7: 1
       8: 1
       9: q+1
      10: q+1
      11: 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: 1
      21: q+1
      22: 1
      23: q+1
      24: q+1
      25: q+1
      26: 1
      27: q+1
      28: 1
      29: q+1
      30: q+1
      31: q+1
      32: 1
      33: 1
      34: q+1
      35: q+1
      36: q+1
      37: q+1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      48: q+1
      49: q+1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: q+1
      59: 1
      60: q+1
      61: q+1
      62: q+1
      63: 1
      64: 1
      65: q+1
      66: q+1
      67: q+1
      68: q+1
      69: 1
      70: 1
      71: 1
      72: 1
      73: 1
      74: 1
      75: 1
      76: 1
      78: 1
      79: 1
      80: 1
      81: 1
      82: 1
      83: 1
      84: 1
      85: q+1
      86: q+1
      87: 1
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     106: 1
     108: 1
     109: 1
     110: q+1
     111: q+1
     112: q+1
     113: q+1
     114: 1
     115: 1
     117: 1
     118: 1
     119: 1
     120: 1
     121: 1
     122: 1
     123: 1
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     132: 1
     134: q+1
     135: q+1
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     152: 1
     154: 1
     156: 1
     157: 1
     158: 1
     159: 1
     161: 1
     162: 1
     164: 1
     165: 1
     166: 1
     167: 1
     168: 1
     169: 1
     170: 1
     172: 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
     190: 1
     191: 1
     192: 1
     193: 1
     195: 1
     196: 1
     197: 1
     198: 1
     203: 1
     204: 1
     207: 1
     209: 1
     211: 1
     213: 1
     215: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     226: 1
     227: 1
     229: 1
     231: 1
     233: 1
     234: 1
     235: 1
     236: 1
     237: 1
     238: 1
     239: 1
     240: 1
     241: 1
     244: 1
     246: 1
     248: 1
     250: 1
     256: 1
     257: 1
     258: 1
     260: 1
     261: 1
     266: 1
     267: 1
     270: 1
     272: 1
     276: 1
     278: 1
     280: 1
     282: 1
     283: 1
     284: 1
     285: 1
     286: 1
     287: 1
     295: 1
     297: 1
     298: 1
     299: 1
     301: 1
     303: 1
     304: 1
     305: 1
     310: 1
     312: 1
     314: 1
     316: 1
     324: 1
     325: 1
     326: 1
     329: 1
     331: 1
     341: 1
     343: 1
     345: 1
     346: 1
     351: 1
     352: 1
     362: 1
     364: 1
     365: 1
     366: 1
     367: 1
     375: 1
     377: 1
     395: 1
     397: 1
     399: 1
     400: 1
     421: 1
     423: 1
     424: 1
     425: 1
     426: 1
     456: 1
     458: 1
     460: 1
     461: 1
     485: 1

486:  10: q^3
      14: q^3
      15: q^3
      17: q^3
      18: q^3
      19: q^3
      30: q^3
      31: q^3
      35: q^3
      37: q^3
      67: q^3
      68: q^3
      78: q^2
     107: q^2
     117: q^2
     155: q^2
     164: q^2
     216: q^2
     226: 1
     227: 1
     229: 1
     256: 1
     257: 1
     277: 1
     279: 1
     281: 1
     313: 1
     315: 1
     324: 1
     342: 1
     344: 1
     376: 1
     378: 1
     396: 1
     398: 1
     427: 1
     457: 1
     459: 1
     486: 1

487:   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^2+2q+1
      12: q+1
      13: q^2+2q+1
      14: q+1
      15: q^2+2q+1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      20: q^2+2q+1
      21: q^2+2q+1
      22: q^2+2q+1
      23: q+1
      24: q^2+2q+1
      25: q+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+2q+1
      33: q^2+2q+1
      34: q+1
      35: q+1
      36: q+1
      37: q+1
      38: q^2+2q+1
      39: q^2+2q+1
      40: q^2+2q+1
      41: q^2+2q+1
      42: q^2+2q+1
      43: q^2+2q+1
      44: q+1
      45: q+1
      46: q^2+q+1
      47: q+1
      48: q+1
      49: q+1
      50: q^2+2q+1
      51: q^2+2q+1
      52: q^2+2q+1
      53: q^2+2q+1
      54: q+1
      55: q+1
      56: q+1
      57: q^2+2q+1
      58: q^2+2q+1
      59: q^2+2q+1
      60: q^2+2q+1
      61: q+1
      62: q+1
      63: q^2+2q+1
      64: q^2+2q+1
      65: q+1
      66: q+1
      67: q+1
      68: q+1
      69: q^2+2q+1
      70: q+1
      71: q^2+2q+1
      72: q+1
      73: q+1
      74: q+1
      75: q+1
      76: q+1
      77: q^2+q+1
      78: q+1
      79: q+1
      80: q+1
      81: q+1
      82: q+1
      83: q+1
      84: q+1
      85: q+1
      86: q+1
      87: q+1
      88: q+1
      89: q^2+2q+1
      90: q^2+2q+1
      91: q+1
      92: q+1
      93: q+1
      94: 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
     104: q+1
     106: q+1
     108: q^2+2q+1
     109: q^2+2q+1
     110: q+1
     111: q+1
     112: q+1
     113: q+1
     114: q+1
     115: 1
     116: q+1
     117: 1
     118: q^2+2q+1
     119: q+1
     120: q^2+2q+1
     121: q+1
     122: q+1
     123: q+1
     124: q+1
     125: 1
     126: q+1
     127: 1
     128: 1
     129: 1
     130: q+1
     132: q+1
     134: q+1
     135: q+1
     136: q+1
     137: q+1
     138: 1
     139: 1
     140: q+1
     141: q+1
     142: q+1
     143: q+1
     144: q+1
     145: q+1
     146: q+1
     147: q+1
     148: 1
     149: 1
     150: q+1
     152: 1
     154: 1
     156: 1
     157: 1
     158: q+1
     159: q+1
     161: q+1
     162: 1
     163: q+1
     164: 1
     165: q^2+2q+1
     166: q+1
     167: q^2+2q+1
     168: q+1
     169: q+1
     170: q+1
     171: q+1
     172: 1
     173: q+1
     174: 1
     175: 1
     176: 1
     177: q+1
     178: 1
     179: q+1
     180: 1
     181: 1
     182: 1
     183: 1
     185: 1
     187: q+1
     189: 1
     190: 1
     191: q+1
     192: q+1
     193: 1
     194: q+1
     195: q+1
     196: q+1
     197: q+1
     198: q+1
     199: 1
     200: q+1
     201: 1
     202: 1
     203: 1
     204: 1
     205: q+1
     207: 1
     209: 1
     211: q+1
     213: 1
     215: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     226: q+1
     227: 1
     228: q+1
     229: 1
     230: q+1
     231: 1
     232: q+1
     233: 1
     234: 1
     235: 1
     236: q+1
     237: 1
     238: q+1
     239: 1
     240: 1
     241: 1
     242: 1
     244: 1
     246: 1
     248: 1
     250: 1
     256: 1
     257: 1
     258: 1
     259: q+1
     260: q+1
     261: q+1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     267: 1
     268: q+1
     270: 1
     272: 1
     274: 1
     275: 1
     276: q+1
     278: 1
     280: 1
     282: 1
     283: 1
     284: 1
     285: 1
     286: 1
     287: 1
     294: 1
     295: 1
     296: 1
     298: 1
     300: q+1
     301: 1
     302: q+1
     303: 1
     304: 1
     305: 1
     306: 1
     308: 1
     310: 1
     312: 1
     314: 1
     316: 1
     324: 1
     327: 1
     329: 1
     333: 1
     334: 1
     335: 1
     336: 1
     337: 1
     338: 1
     339: q+1
     341: 1
     343: 1
     345: 1
     346: 1
     347: 1
     348: 1
     351: 1
     352: 1
     361: 1
     362: 1
     363: 1
     365: 1
     369: 1
     371: 1
     373: 1
     375: 1
     377: 1
     393: 1
     395: 1
     401: 1
     404: 1
     405: 1
     406: 1
     407: 1
     420: 1
     421: 1
     422: 1
     424: 1
     430: 1
     432: 1
     454: 1
     456: 1
     462: 1
     463: 1
     487: 1

488:   0: q^2
       1: q^2
       3: q^2
       4: q^2
       5: q^3+q^2
       6: q^2
       7: q^2
       9: q^2
      10: q^3+q^2
      11: q^3+q^2
      12: q^3+q^2
      13: q^2
      14: q^2
      15: q^3+q^2
      16: q^3+q^2
      17: q^2
      18: q^2
      19: q^2
      20: q^2
      21: q^2
      22: q^2
      23: q^2
      24: q^2
      25: q^2
      26: q^2
      27: q^2
      28: q^2
      29: q^2
      30: q^2
      31: q^2
      34: q^2
      35: q^2
      36: q^2
      37: q^2
      38: q^2
      39: q^2
      40: q^2
      41: q^3+q^2
      42: q^2
      43: q^3+q^2
      44: q^2
      45: q^2
      47: q^3+q^2
      48: q^2
      49: q^2
      50: q^2
      51: q^2
      52: q^2
      53: q^2
      54: q^2
      55: q^2
      57: q^2
      58: q^2
      59: q^2
      60: q^2
      61: q^2
      62: q^2
      65: q^2
      66: q^2
      67: q^2
      68: q^2
      70: q^2
      72: q^2
      73: q^2
      74: q^2
      75: q^2
      76: q^2
      78: q^3+q^2
      85: q^2
      86: q^2
      89: q^2
      90: q^2
      91: q^2
      92: q^2
      94: q^2
      95: q^2
      96: q^2
     114: q
     115: q^2+q
     116: q
     117: q^2
     119: q^2
     121: q^2
     122: q^2
     123: q^2
     138: q
     139: q^2
     140: q^2
     141: q^2
     144: q
     146: q^2
     151: q
     153: q
     161: q
     162: q^2+q
     163: q
     164: q^2
     184: q
     189: q^2
     190: q
     194: q
     199: q
     206: q
     208: q
     212: q
     214: q
     226: q+1
     227: 1
     228: q+1
     229: 1
     243: q
     249: q
     256: 1
     257: 1
     259: q+1
     262: q
     269: q
     271: q
     277: q+1
     279: 1
     281: 1
     307: q
     313: 1
     315: 1
     324: 1
     334: 1
     340: q+1
     342: 1
     344: 1
     374: 1
     376: 1
     378: 1
     394: 1
     396: 1
     401: 1
     431: 1
     433: 1
     455: 1
     457: 1
     488: 1

489:   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^2+2q+1
      12: q^2+2q+1
      13: q^2+2q+1
      14: q^2+2q+1
      15: q^2+2q+1
      16: q^2+2q+1
      17: q^3+q^2+q+1
      18: q^2+2q+1
      19: q^3+q^2+q+1
      20: q^2+2q+1
      21: q^2+2q+1
      22: q^2+2q+1
      23: q^2+2q+1
      24: q^2+2q+1
      25: q^2+2q+1
      26: 2q+1
      27: 2q+1
      28: 2q+1
      29: 2q+1
      30: q^2+q+1
      31: q^2+q+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+2q+1
      40: q^2+2q+1
      41: q^2+2q+1
      42: q^2+2q+1
      43: q^2+2q+1
      44: q+1
      45: q^2+q+1
      46: q+1
      47: q^2+q+1
      48: q^2+2q+1
      49: q^2+2q+1
      50: q^2+2q+1
      51: q^2+2q+1
      52: 2q+1
      53: 2q+1
      54: q^2+q+1
      55: q+1
      56: q+1
      57: 2q+1
      58: 2q+1
      59: 2q+1
      60: 2q+1
      61: q^2+q+1
      62: q^2+q+1
      63: 2q+1
      64: 2q+1
      65: 2q+1
      66: 2q+1
      67: q^2+q+1
      68: q^2+q+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+1
      76: q^2+q+1
      77: q+1
      78: q^2+q+1
      79: q+1
      80: q+1
      81: q+1
      82: q+1
      83: q+1
      84: q+1
      85: q+1
      86: q+1
      87: 2q+1
      88: 2q+1
      89: 2q+1
      90: 2q+1
      91: q^2+2q+1
      92: q^2+2q+1
      93: q+1
      94: 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
     104: q+1
     106: q+1
     108: 2q+1
     109: 2q+1
     110: 2q+1
     111: q^2+q+1
     112: 2q+1
     113: q^2+q+1
     114: q+1
     115: q^2+q+1
     116: q+1
     117: q^2+q+1
     118: 2q+1
     119: 2q+1
     120: 2q+1
     121: q^2+q+1
     122: 2q+1
     123: q^2+q+1
     124: q+1
     125: q+1
     126: q+1
     127: q+1
     128: q+1
     129: q+1
     130: q+1
     132: q+1
     134: q+1
     135: q+1
     136: 2q+1
     137: 2q+1
     138: q+1
     139: q^2+q+1
     140: q+1
     141: q+1
     142: 2q+1
     143: 2q+1
     144: q+1
     145: q+1
     146: q+1
     147: q+1
     148: q+1
     149: q+1
     150: q+1
     152: q+1
     154: q+1
     156: q+1
     157: q+1
     158: q+1
     159: q+1
     161: 1
     162: 1
     163: 1
     164: q^2+1
     165: 2q+1
     166: 2q+1
     167: 2q+1
     168: q^2+q+1
     169: 2q+1
     170: q^2+q+1
     171: q+1
     172: q+1
     173: q+1
     174: q+1
     175: q+1
     176: q+1
     177: 1
     178: 1
     179: 1
     180: 1
     181: 1
     182: 1
     183: q+1
     185: q+1
     187: q+1
     189: 1
     190: 1
     191: q+1
     192: q+1
     193: q+1
     194: 1
     195: q+1
     196: q+1
     197: 2q+1
     198: 2q+1
     199: q+1
     200: q+1
     201: q+1
     202: q+1
     203: q+1
     204: q+1
     205: q+1
     207: q+1
     209: q+1
     211: 1
     213: 1
     215: 1
     217: q+1
     218: q+1
     219: 1
     220: 1
     221: 1
     222: 1
     226: 1
     227: 1
     228: 1
     229: q^2+1
     230: 1
     231: 1
     232: 1
     233: 1
     234: 1
     235: 1
     236: 1
     237: 1
     238: 1
     239: 1
     240: 1
     241: 1
     242: q+1
     244: q+1
     246: 1
     248: 1
     250: q+1
     256: 1
     257: 1
     258: 1
     259: 1
     260: q+1
     261: q+1
     262: 1
     263: q+1
     264: q+1
     265: q+1
     266: 1
     267: 1
     268: 1
     270: 1
     272: 1
     274: 1
     275: 1
     276: 1
     278: 1
     280: 1
     282: 1
     283: 1
     284: 1
     285: 1
     286: 1
     287: 1
     294: 1
     295: 1
     296: 1
     297: 1
     298: 1
     299: 1
     300: 1
     301: 1
     302: 1
     303: 1
     304: 1
     305: 1
     306: 1
     308: q+1
     310: 1
     312: 1
     314: 1
     316: 1
     324: 1
     325: 1
     326: 1
     327: 1
     329: 1
     331: 1
     333: 1
     334: 1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     341: 1
     343: 1
     345: 1
     346: 1
     347: 1
     348: 1
     351: 1
     352: 1
     361: 1
     362: 1
     363: 1
     364: 1
     365: 1
     366: 1
     367: 1
     369: 1
     371: 1
     373: 1
     375: 1
     377: 1
     393: 1
     395: 1
     397: 1
     399: 1
     400: 1
     401: 1
     402: 1
     403: 1
     404: 1
     405: 1
     406: 1
     407: 1
     426: 1
     428: 1
     430: 1
     432: 1
     464: 1
     465: 1
     489: 1

490:   1: q^2
       5: q^2
       6: q^2
       7: q^2
      10: q^2
      11: q^2
      12: q^2
      13: q^2
      14: q^2
      15: q^2
      16: q^2
      17: q^3+q^2
      18: q^2
      19: q^3+q^2
      20: q^2
      21: q^2
      22: q^2
      23: q^2
      24: q^2
      25: q^2
      30: q^2
      31: q^2
      34: q^2
      35: q^2
      36: q^2
      37: q^2
      39: q^2
      41: q^2
      42: q^2
      43: q^2
      45: q^2
      47: q^2
      48: q^2
      49: q^2
      50: q^2
      51: q^2
      54: q^2
      61: q^2
      62: q^2
      67: q^2
      68: q^2
      70: q^2
      72: q^2
      73: q^2
      74: q^2
      76: q^2
      78: q^2
      91: q^2
      92: q^2
      94: q^2
     111: q^2
     113: q^2
     115: q^2
     117: q^2
     121: q^2
     123: q^2
     139: q^2
     161: 1
     162: 1
     163: 1
     164: q^2+1
     168: q^2
     170: q^2
     189: 1
     190: 1
     194: 1
     212: 1
     214: 1
     216: 1
     226: 1
     227: 1
     228: 1
     229: q^2+1
     247: 1
     249: 1
     256: 1
     257: 1
     258: 1
     259: 1
     262: 1
     269: 1
     271: 1
     273: 1
     277: 1
     279: 1
     281: 1
     307: 1
     311: 1
     313: 1
     315: 1
     317: 1
     324: 1
     328: 1
     330: 1
     332: 1
     333: 1
     334: 1
     340: 1
     342: 1
     344: 1
     368: 1
     370: 1
     372: 1
     374: 1
     376: 1
     378: 1
     394: 1
     396: 1
     398: 1
     401: 1
     427: 1
     429: 1
     431: 1
     433: 1
     490: 1

491:   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^2+2q+1
      10: q+1
      11: q+1
      12: q+1
      13: q+1
      14: q+1
      15: q+1
      16: q+1
      18: 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
      32: q^2+2q+1
      33: q^2+2q+1
      34: q+1
      35: q+1
      36: q+1
      37: q+1
      38: q^2+2q+1
      39: q+1
      40: q^2+2q+1
      41: q+1
      42: q+1
      43: q+1
      44: q^2+2q+1
      45: q+1
      46: q^2+2q+1
      47: q+1
      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: q^2+2q+1
      57: q+1
      58: q+1
      59: q+1
      60: q+1
      63: q+1
      64: q+1
      65: q+1
      66: q+1
      69: q^2+2q+1
      70: q+1
      71: q^2+2q+1
      72: q+1
      73: q+1
      74: q+1
      75: q^2+2q+1
      76: q+1
      77: q^2+2q+1
      78: q+1
      79: q+1
      80: 1
      81: q+1
      82: 1
      83: 1
      84: 1
      87: q+1
      88: q+1
      89: q+1
      90: q+1
      91: q+1
      92: q+1
      93: q^2+2q+1
      94: q+1
      95: q+1
      96: q+1
      97: q+1
      98: 1
      99: 1
     100: 1
     101: 1
     102: q+1
     104: 1
     106: 1
     108: q+1
     109: q+1
     110: q+1
     112: q+1
     114: q^2+2q+1
     115: q+1
     116: q^2+2q+1
     117: q+1
     118: q+1
     119: q+1
     120: q+1
     122: q+1
     124: q+1
     125: 1
     126: q+1
     127: 1
     128: 1
     129: 1
     130: 1
     132: 1
     136: q+1
     137: q+1
     138: q+1
     139: q+1
     142: q+1
     143: q+1
     144: q^2+2q+1
     145: q+1
     146: q+1
     147: q+1
     148: 1
     149: 1
     150: q+1
     152: 1
     154: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: q+1
     161: q+1
     162: q+1
     163: q+1
     165: q+1
     166: q+1
     167: q+1
     169: q+1
     171: q+1
     172: 1
     173: q+1
     174: 1
     175: 1
     176: 1
     177: 1
     178: 1
     179: 1
     181: 1
     183: 1
     185: 1
     187: 1
     190: q+1
     193: q+1
     194: q+1
     197: q+1
     198: q+1
     199: q+1
     200: q+1
     201: 1
     202: 1
     203: 1
     204: 1
     205: q+1
     207: 1
     209: 1
     211: 1
     213: 1
     217: 1
     218: 1
     221: 1
     222: 1
     223: 1
     224: q+1
     225: q+1
     226: q+1
     227: q+1
     228: q+1
     230: 1
     231: 1
     232: 1
     234: 1
     236: 1
     237: 1
     238: 1
     240: 1
     242: 1
     244: 1
     248: 1
     250: 1
     252: q+1
     257: q+1
     259: q+1
     262: q+1
     263: q+1
     264: 1
     265: 1
     268: 1
     270: 1
     274: 1
     275: 1
     276: 1
     278: 1
     286: 1
     287: 1
     288: 1
     289: 1
     290: 1
     293: 1
     294: 1
     295: 1
     296: 1
     298: 1
     300: 1
     301: 1
     302: 1
     304: 1
     306: 1
     308: 1
     314: 1
     320: 1
     327: 1
     329: 1
     334: q+1
     335: 1
     336: 1
     339: 1
     341: 1
     347: 1
     348: 1
     349: 1
     350: 1
     353: 1
     354: 1
     355: 1
     358: 1
     361: 1
     362: 1
     363: 1
     365: 1
     369: 1
     373: 1
     379: 1
     387: 1
     393: 1
     395: 1
     404: 1
     405: 1
     408: 1
     409: 1
     410: 1
     411: 1
     413: 1
     430: 1
     434: 1
     438: 1
     467: 1
     468: 1
     491: 1

492:   0: 2q^3+4q^2+2q
       1: 2q^2+2q
       2: q^4+4q^3+5q^2+2q
       3: 2q^3+4q^2+2q
       4: 2q^3+4q^2+2q
       5: 2q^2+2q
       6: 2q^2+2q
       7: 2q^2+2q
       8: q^4+4q^3+5q^2+2q
       9: 2q^3+4q^2+2q
      10: 2q^2+2q
      11: 2q^2+2q
      12: q^2+q
      13: 2q^2+2q
      14: q^2+q
      15: 2q^2+2q
      16: q^2+q
      18: q^2+q
      20: 2q^2+2q
      21: 2q^2+2q
      22: 2q^2+2q
      23: q^2+q
      24: 2q^2+2q
      25: q^2+q
      26: 2q^2+2q
      27: 2q^2+2q
      28: 2q^2+2q
      29: 2q^2+2q
      32: 2q^3+4q^2+2q
      33: 2q^3+4q^2+2q
      34: q^2+q
      35: q^2+q
      36: q^2+q
      37: q^2+q
      38: 2q^3+4q^2+2q
      39: 2q^2+2q
      40: 2q^3+4q^2+2q
      41: 2q^2+2q
      42: 2q^2+2q
      43: 2q^2+2q
      44: q^3+3q^2+2q
      45: q^2+2q
      46: 2q^3+4q^2+2q
      47: q^2+2q
      48: q^2+q
      49: q^2+q
      50: 2q^2+2q
      51: 2q^2+2q
      52: 2q^2+2q
      53: 2q^2+2q
      54: q^2+2q
      55: q^2+2q
      56: q^3+3q^2+2q
      57: 2q^2+2q
      58: 2q^2+2q
      59: 2q^2+2q
      60: 2q^2+2q
      63: 2q^2+2q
      64: 2q^2+2q
      65: q^2+q
      66: q^2+q
      69: 2q^3+4q^2+2q
      70: q^2+q
      71: 2q^3+4q^2+2q
      72: q^2+q
      73: q^2+q
      74: q^2+q
      75: q^3+3q^2+2q
      76: q^2+2q
      77: 2q^3+4q^2+2q
      78: q^2+2q
      79: 2q^2+2q
      80: 2q
      81: 2q^2+2q
      82: 2q
      83: 2q
      84: 2q
      87: q^2+q
      88: q^2+q
      89: 2q^2+2q
      90: 2q^2+2q
      91: q^2+q
      92: q^2+q
      93: q^3+3q^2+2q
      94: q^2+2q
      95: q^2+2q
      96: q^2+2q
      97: q^2+2q
      98: 2q
      99: 2q
     100: 2q
     101: 2q
     102: 2q^2+2q
     104: 2q
     106: 2q
     108: 2q^2+2q
     109: 2q^2+2q
     110: q^2+q
     112: q^2+q
     114: q^2+q
     116: q^2+q
     118: 2q^2+2q
     119: q^2+q
     120: 2q^2+2q
     122: q^2+q
     124: 2q^2+2q
     125: q
     126: 2q^2+2q
     127: q
     128: q
     129: q
     130: 2q
     132: 2q
     136: q^2+q
     137: q^2+q
     142: q^2+q
     143: q^2+q
     144: q^2+q
     145: q^2+2q
     146: q^2+2q
     147: q^2+2q
     148: q
     149: q
     150: q^2+q
     156: q
     157: q
     158: 2q
     159: 2q
     160: q^2+q
     161: q
     163: q
     165: 2q^2+2q
     166: q^2+q
     167: 2q^2+2q
     169: q^2+q
     171: 2q^2+2q
     172: q
     173: 2q^2+2q
     174: q
     175: q
     176: q
     177: 2q
     178: q
     179: 2q
     181: q
     187: 2q
     194: q
     197: q^2+q
     198: q^2+q
     200: q^2+2q
     201: q
     202: q
     203: q
     204: q
     205: q^2+q
     211: q
     217: q
     218: q
     221: q
     222: q
     223: q
     225: q^2+q
     226: q
     228: q
     230: 2q
     231: q
     232: 2q
     234: q
     236: 2q
     237: q
     238: 2q
     240: q
     259: q
     264: q
     265: q
     268: q
     274: q
     275: q
     276: q
     286: q
     287: q
     290: q
     293: q
     294: 1
     295: 1
     296: 1
     298: 1
     300: 2q
     301: q
     302: 2q
     304: q
     327: 1
     329: 1
     335: 1
     336: 1
     339: q
     347: q
     348: q
     350: 1
     358: q
     361: 1
     362: 1
     363: 1
     365: 1
     369: 1
     380: 1
     393: 1
     395: 1
     404: 1
     405: 1
     410: 1
     411: 1
     430: 1
     435: 1
     439: 1
     468: 1
     492: 1

493:   0: q^2+q
       1: q^2+q
       2: q^2+q
       3: q^2+q
       4: q^2+q
       5: q^2+q
       6: q^2+q
       7: q^2+q
       8: q^2+q
       9: q^2+q
      10: q^2+q
      11: q^2+q
      12: q^2+q
      13: q^2+q
      14: q^2+q
      15: q^2+q
      16: q^2+q
      18: q^2+q
      20: q^2+q
      21: q^2+q
      22: q^2+q
      23: q^2+q
      24: q^2+q
      25: q^2+q
      26: q
      27: q
      28: q
      29: q
      32: q^2+q
      33: q^2+q
      34: q^2+q
      35: q^2+q
      36: q^2+q
      37: q^2+q
      38: q^2+q
      39: q^2+q
      40: q^2+q
      41: q^2+q
      42: q^2+q
      43: q^2+q
      44: q^2+q
      45: q^2+q
      46: q^2+q
      47: q^2+q
      48: q^2+q
      49: q^2+q
      50: q^2+q
      51: q^2+q
      52: q
      53: q
      54: q^2+q
      55: q
      56: q^2+q
      57: q
      58: q
      59: q
      60: q
      63: q
      64: q
      65: q
      66: q
      69: q^2+q
      70: q^2+q
      71: q^2+q
      72: q^2+q
      73: q^2+q
      74: q^2+q
      75: q^2+q
      76: q^2+q
      77: q^2+q
      78: q^2+q
      79: q
      80: q
      81: q
      82: q
      83: q
      84: q
      87: q
      88: q
      89: q
      90: q
      91: q^2+q
      92: q^2+q
      93: q^2+q
      94: q^2+q
      95: q
      96: q
      97: q
      98: q
      99: q
     100: q
     101: q
     102: q
     104: q
     106: q
     108: q
     109: q
     110: q
     112: q
     114: q^2+q
     115: q^2+q
     116: q^2+q
     117: q^2+q
     118: q
     119: q
     120: q
     122: q
     124: q
     125: q
     126: q
     127: q
     128: q
     129: q
     130: q
     132: q
     136: q
     137: q
     138: q
     139: q^2+q
     142: q
     143: q
     144: q^2+q
     145: q
     146: q
     147: q
     148: q
     149: q
     150: q
     152: q
     154: q
     156: q
     157: q
     158: q
     159: q
     160: q
     161: q+1
     162: q+1
     163: q+1
     165: q
     166: q
     167: q
     169: q
     171: q
     172: q
     173: q
     174: q
     175: q
     176: q
     183: q
     185: q
     187: q
     190: q+1
     193: q
     194: q+1
     197: q
     198: q
     199: q
     200: q
     201: q
     202: q
     203: q
     204: q
     205: q
     207: q
     209: q
     212: 1
     214: 1
     217: q
     218: q
     224: q
     225: q
     226: q+1
     227: q+1
     228: q+1
     242: q
     244: q
     249: 1
     250: q
     252: q
     257: q+1
     259: q+1
     262: q+1
     263: q
     264: q
     265: q
     269: 1
     271: 1
     277: 1
     279: 1
     289: 1
     307: 1
     308: q
     315: 1
     322: 1
     328: 1
     330: 1
     334: q+1
     340: 1
     342: 1
     353: 1
     355: 1
     370: 1
     374: 1
     381: 1
     389: 1
     394: 1
     396: 1
     409: 1
     413: 1
     431: 1
     436: 1
     440: 1
     467: 1
     493: 1

494:   1: q^3
       5: q^3
       6: q^3
       7: q^3
      10: q^3
      11: q^3
      13: q^3
      15: q^3
      20: q^3
      21: q^3
      22: q^3
      24: q^3
      39: q^3
      41: q^3
      42: q^3
      43: q^3
      45: q^3
      47: q^3
      50: q^3
      51: q^3
      54: q^3
      76: q^3
      78: q^3
      94: q^3
     161: q
     163: q
     194: q
     212: q
     226: q
     228: q
     259: q
     269: q
     277: q
     328: 1
     330: 1
     340: q
     370: 1
     382: 1
     394: 1
     396: 1
     431: 1
     437: 1
     441: 1
     494: 1

495:   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: 1
      11: q^2+q+1
      12: 1
      13: 1
      14: 1
      15: 1
      16: 1
      17: 1
      18: 1
      19: 1
      20: q^2+q+1
      21: 1
      22: q^2+q+1
      23: 1
      24: 1
      25: 1
      26: q^2+q+1
      27: 1
      28: q^2+q+1
      29: 1
      30: 1
      31: 1
      32: q^2+q+1
      33: q^2+q+1
      34: 1
      35: 1
      36: 1
      37: 1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: q^2+q+1
      45: q^2+q+1
      46: q^2+q+1
      47: q^2+q+1
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: q^2+q+1
      55: q^2+q+1
      56: q^2+q+1
      57: q^2+q+1
      58: 1
      59: q^2+q+1
      60: 1
      61: 1
      62: 1
      63: q^2+q+1
      64: q^2+q+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: q^2+q+1
      78: 1
      79: 1
      80: 1
      81: 1
      82: 1
      83: 1
      84: 1
      85: 1
      86: 1
      87: 1
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: q^2+q+1
      97: q^2+q+1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     106: 1
     108: q^2+q+1
     109: q^2+q+1
     110: 1
     111: 1
     112: 1
     113: 1
     114: 1
     115: 1
     116: q^2+q+1
     117: 1
     118: 1
     119: 1
     120: 1
     121: 1
     122: 1
     123: 1
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     132: 1
     134: 1
     135: 1
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: 1
     144: 1
     145: 1
     146: 1
     147: q^2+q+1
     148: 1
     149: 1
     150: 1
     152: 1
     154: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     161: 1
     162: 1
     163: q^2+q+1
     164: 1
     165: 1
     166: 1
     167: 1
     168: 1
     169: 1
     170: 1
     171: 1
     173: 1
     177: 1
     178: 1
     179: 1
     180: 1
     181: 1
     182: 1
     183: 1
     185: 1
     187: 1
     189: 1
     190: 1
     191: 1
     192: 1
     193: 1
     194: 1
     195: 1
     196: 1
     197: 1
     198: 1
     199: 1
     200: 1
     205: 1
     211: 1
     213: 1
     215: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     223: 1
     224: 1
     225: 1
     226: 1
     227: 1
     228: q^2+q+1
     229: 1
     230: 1
     232: 1
     236: 1
     237: 1
     238: 1
     239: 1
     240: 1
     241: 1
     246: 1
     248: 1
     250: 1
     252: 1
     256: 1
     257: 1
     258: 1
     259: 1
     260: 1
     261: 1
     262: 1
     263: 1
     268: 1
     276: 1
     278: 1
     280: 1
     282: 1
     283: 1
     284: 1
     285: 1
     286: 1
     287: 1
     288: 1
     289: 1
     290: 1
     293: 1
     294: 1
     296: 1
     300: 1
     302: 1
     312: 1
     314: 1
     316: 1
     320: 1
     324: 1
     327: 1
     333: 1
     334: 1
     339: 1
     350: 1
     351: 1
     352: 1
     353: 1
     354: 1
     355: 1
     358: 1
     361: 1
     363: 1
     377: 1
     379: 1
     387: 1
     393: 1
     401: 1
     411: 1
     412: 1
     413: 1
     420: 1
     422: 1
     438: 1
     454: 1
     469: 1
     470: 1
     495: 1

496:   0: q^2+2q
       1: q^2+2q
       2: q^2+2q
       3: q
       4: q^2+2q
       5: q^2+2q
       6: q
       7: q^2+2q
       8: q^2+2q
       9: q
      10: q
      11: q^2+2q
      12: q
      13: q
      14: q
      15: q
      16: q
      17: q
      18: q
      19: q
      20: q^2+2q
      21: q
      22: q^2+2q
      23: q
      24: q
      25: q
      26: q^2+2q
      27: q
      28: q^2+2q
      29: q
      30: q
      31: q
      32: q^2+2q
      33: q^2+2q
      34: q
      35: q
      36: q
      37: q
      38: q
      39: q
      40: q
      41: q
      42: q
      43: q
      44: q^2+2q
      45: q^2+2q
      46: q^2+2q
      47: q^2+2q
      48: q
      49: q
      50: q
      51: q
      52: q
      53: q
      54: q^2+2q
      55: q^2+2q
      56: q^2+2q
      57: q^2+2q
      58: q
      59: q^2+2q
      60: q
      61: q
      62: q
      63: q^2+2q
      64: q^2+2q
      65: q
      66: q
      67: q
      68: q
      69: q
      70: q
      71: q
      72: q
      73: q
      74: q
      77: q
      79: q
      80: q
      81: q
      82: q
      83: q
      84: q
      85: q
      86: q
      87: q
      88: q
      89: q
      90: q
      91: q
      92: q
      96: q^2+2q
      97: q^2+2q
      98: q
      99: q
     100: q
     101: q
     108: q^2+2q
     109: q^2+2q
     110: q
     111: q
     112: q
     113: q
     116: q
     118: q
     119: q
     120: q
     121: q
     122: q
     123: q
     124: q
     125: q
     126: q
     127: q
     128: q
     129: q
     134: q
     135: q
     136: q
     137: q
     140: q
     141: q
     142: q
     143: q
     147: q^2+2q
     148: q
     149: q
     156: q
     157: q
     158: q
     159: q
     163: q
     165: q
     166: q
     167: q
     168: q
     169: q
     170: q
     171: 1
     173: 1
     177: q
     178: q
     179: q
     180: q
     181: q
     182: q
     191: q
     192: q
     195: q
     196: q
     197: q
     198: q
     205: 1
     217: q
     218: q
     219: q
     220: q
     221: q
     222: q
     225: 1
     228: q
     230: 1
     232: 1
     236: q
     237: q
     238: q
     239: q
     240: q
     241: q
     253: 1
     260: q
     261: q
     268: 1
     282: q
     283: q
     284: q
     285: q
     286: q
     287: q
     293: 1
     294: 1
     296: 1
     300: 1
     302: 1
     321: 1
     327: 1
     339: 1
     350: 1
     351: q
     352: q
     358: 1
     361: 1
     363: 1
     380: 1
     388: 1
     393: 1
     411: 1
     420: 1
     422: 1
     439: 1
     454: 1
     469: 1
     496: 1

497:   0: q^2+q
       1: q^2+q
       2: q^2+q
       3: q^2+q
       4: q^2+q
       5: q^3+q^2+q
       6: q^2+q
       7: q^2+q
       8: q^2+q
       9: q^2+q
      10: q
      11: q^3+q^2+q
      12: q^2+q
      13: q^2+q
      14: q
      15: q
      16: q^2+q
      17: q
      18: q
      19: q
      20: q^2+q
      21: q
      22: q^2+q
      23: q
      24: q
      25: q
      26: q^2+q
      27: q^2+q
      28: q^2+q
      29: q^2+q
      30: q
      31: q
      32: q^2+q
      33: q^2+q
      34: q^2+q
      35: q
      36: q^2+q
      37: q
      38: q
      39: q
      40: q
      41: q
      42: q
      43: q
      44: q^2+q
      45: q^2+q
      46: q^2+q
      47: q^3+q^2+q
      48: q
      49: q
      50: q
      51: q
      52: q
      53: q
      54: q^2+q
      55: q^2+q
      56: q^2+q
      57: q^2+q
      58: q
      59: q^2+q
      60: q
      61: q
      62: q
      63: q^2+q
      64: q^2+q
      65: q^2+q
      66: q^2+q
      67: q
      68: q
      69: q
      70: q
      71: q
      72: q
      73: q
      74: q
      75: 2q
      76: 2q
      77: q^2+q
      78: q
      79: q
      80: q
      81: q
      82: q
      83: q
      84: q
      85: q
      86: q
      87: q
      88: q
      89: q
      90: q
      91: q
      92: q
      93: q
      94: q
      95: 2q
      96: q^2+q
      97: q^2+q
      98: q
      99: q
     100: q
     101: q
     102: q
     103: q
     104: q
     105: q
     106: q
     108: q^2+q
     109: q^2+q
     110: q
     111: q
     112: q
     113: q
     114: 2q
     115: 2q
     116: q^2+q
     117: q
     118: q
     119: q
     120: q
     121: q
     122: q
     123: q
     124: q
     125: q
     126: q
     127: q
     128: q
     129: q
     130: q
     132: q
     133: q
     134: q
     135: q
     136: q
     137: q
     138: 2q
     139: q
     140: q
     141: q
     142: q
     143: q
     144: q
     145: q
     146: q
     147: q^2+q
     148: q
     149: q
     150: q
     151: q
     152: q
     153: q
     154: q
     156: q
     157: q
     158: q
     159: q
     160: q
     161: 2q
     162: 2q
     163: q^2+q
     164: q
     177: q
     178: q
     179: q
     180: q
     181: q
     182: q
     183: q
     184: q
     185: q
     187: q
     189: q
     190: 2q
     191: q
     192: q
     193: q
     194: q
     199: q
     211: q
     212: q
     213: q
     214: q
     215: q
     217: q
     218: q
     219: q
     220: q
     221: q
     222: q
     223: q
     224: q
     226: 1
     227: 1
     228: q^2+q+1
     229: 1
     246: q
     248: q
     249: q
     250: q
     256: 1
     257: 1
     258: q
     259: 1
     262: q
     277: 1
     279: 1
     281: 1
     282: q
     283: q
     288: q
     289: q
     313: 1
     315: 1
     316: q
     324: 1
     334: 1
     340: 1
     353: q
     355: 1
     378: 1
     389: 1
     394: 1
     401: 1
     413: 1
     440: 1
     455: 1
     470: 1
     497: 1

498:   5: q^4
      11: q^4
      47: q^4
     228: q
     340: 1
     390: 1
     394: 1
     441: 1
     455: 1
     498: 1

499:   0: 2q+1
       1: 2q+1
       2: 2q+1
       3: q+1
       4: 2q+1
       5: 1
       6: q+1
       7: 2q+1
       8: 2q+1
       9: q+1
      10: q^3+1
      11: 1
      12: q+1
      13: q+1
      14: q^3+1
      15: q^3+1
      16: q+1
      17: q^3+1
      18: q^3+1
      19: q^3+1
      20: 1
      21: 1
      22: 1
      23: 1
      24: 1
      25: 1
      26: 2q+1
      27: q+1
      28: 2q+1
      29: q+1
      30: q^3+1
      31: q^3+1
      32: 2q+1
      33: 2q+1
      34: q+1
      35: q^3+1
      36: q+1
      37: q^3+1
      38: q+1
      39: q+1
      40: q+1
      41: 1
      42: q+1
      43: 1
      44: 2q+1
      45: 2q+1
      46: 2q+1
      47: 1
      48: 1
      49: 1
      50: 1
      51: 1
      52: q+1
      53: q+1
      54: 1
      55: 2q+1
      56: 2q+1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: 1
      63: 2q+1
      64: 2q+1
      65: q+1
      66: q+1
      67: q^3+1
      68: q^3+1
      69: q+1
      70: q+1
      71: q+1
      72: 1
      73: q+1
      74: 1
      75: 1
      76: 1
      77: q+1
      78: q^2+1
      79: q+1
      80: q+1
      81: q+1
      82: 1
      83: q+1
      84: 1
      85: 1
      86: 1
      87: q+1
      88: q+1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 1
      97: 2q+1
      98: 1
      99: 1
     100: q+1
     101: q+1
     102: 1
     104: 1
     106: 1
     107: q^2
     108: 1
     109: 1
     110: 1
     111: 1
     112: 1
     113: 1
     114: 1
     115: 1
     116: q+1
     117: q^2+1
     118: q+1
     119: q+1
     120: q+1
     121: 1
     122: q+1
     123: 1
     124: q+1
     125: q+1
     126: q+1
     127: 1
     128: q+1
     129: 1
     130: 1
     132: 1
     134: 1
     135: 1
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     142: q+1
     143: q+1
     144: 1
     145: 1
     146: 1
     147: 1
     148: q+1
     149: q+1
     150: 1
     152: 1
     154: 1
     155: q^2
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     161: 1
     162: 1
     163: q+1
     164: q^2+1
     165: 1
     166: 1
     167: 1
     168: 1
     169: 1
     170: 1
     171: 2
     172: 1
     173: 2
     174: 1
     175: 1
     176: 1
     177: q+1
     178: q+1
     179: q+1
     180: 1
     181: q+1
     182: 1
     183: 1
     185: 1
     187: 1
     189: 1
     190: 1
     191: 1
     192: 1
     193: 1
     194: 1
     195: 1
     196: 1
     197: 1
     198: 1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 2
     207: 1
     209: 1
     211: 1
     213: 1
     215: 1
     216: q^2
     217: 1
     218: 1
     219: 1
     220: 1
     221: q+1
     222: q+1
     223: 1
     224: 1
     225: 2
     230: 2
     231: 1
     232: 2
     233: 1
     234: 1
     235: 1
     236: 1
     237: 1
     238: 1
     239: 1
     240: 1
     241: 1
     242: 1
     244: 1
     246: 1
     248: 1
     250: 1
     252: 1
     253: 1
     258: 1
     260: 1
     261: 1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     267: 1
     268: 2
     270: 1
     272: 1
     274: 1
     275: 1
     282: 1
     283: 1
     284: 1
     285: 1
     286: 1
     287: 1
     288: 1
     289: 1
     290: 1
     291: 1
     292: 1
     293: 2
     294: 2
     295: 1
     296: 2
     297: 1
     298: 1
     299: 1
     306: 1
     308: 1
     310: 1
     316: 1
     318: 1
     320: 1
     321: 1
     325: 1
     326: 1
     327: 2
     329: 1
     331: 1
     333: 1
     335: 1
     336: 1
     337: 1
     338: 1
     350: 2
     351: 1
     352: 1
     353: 1
     354: 1
     356: 1
     357: 1
     359: 1
     360: 1
     367: 1
     369: 1
     371: 1
     379: 1
     380: 1
     383: 1
     385: 1
     402: 1
     403: 1
     412: 1
     414: 1
     415: 1
     416: 1
     417: 1
     428: 1
     442: 1
     446: 1
     471: 1
     472: 1
     499: 1

500:   1: 3q^3+q^2
       5: q^3+q^2
       6: q^3+q^2
       7: 3q^3+q^2
      10: q^2
      11: q^3+q^2
      12: q^3+q^2
      13: q^3+q^2
      14: q^2
      15: q^2
      16: q^3+q^2
      17: q^3+q^2
      18: q^2
      19: q^3+q^2
      20: q^3+q^2
      21: q^2
      22: q^3+q^2
      23: q^2
      24: q^2
      25: q^2
      30: q^2
      31: q^2
      34: q^3+q^2
      35: q^2
      36: q^3+q^2
      37: q^2
      39: q^3+q^2
      41: q^2
      42: q^3+q^2
      43: q^2
      45: 3q^3+q^2
      47: q^3+q^2
      48: q^2
      49: q^2
      50: q^2
      51: q^2
      54: q^3+q^2
      61: q^2
      62: q^2
      67: q^2
      68: q^2
      70: q^3+q^2
      72: q^2
      73: q^3+q^2
      74: q^2
      76: q^2
      78: q^2
      80: q^3+q^2
      82: q^2
      83: q^3+q^2
      84: q^2
      91: q^2
      92: q^2
      94: q^2
      98: q^2
      99: q^2
     104: q^2
     106: q^2
     111: q^2
     113: q^2
     115: q^2
     117: q^2
     121: q^2
     123: q^2
     125: q^3+q^2
     127: q^2
     128: q^3+q^2
     129: q^2
     130: q^2
     139: q^2
     152: q^2
     154: q^2
     156: q^2
     157: q^2
     161: 1
     162: 1
     163: q+1
     164: q^2+1
     168: q^2
     170: q^2
     180: q^2
     182: q^2
     185: q^2
     189: 1
     190: 1
     194: 1
     212: 1
     214: 1
     215: q^2
     216: 1
     239: q^2
     241: q^2
     247: 1
     249: 1
     258: 1
     262: 1
     269: 2
     271: 1
     273: 1
     289: 1
     307: 1
     311: 1
     317: 1
     322: 1
     323: 1
     328: 2
     330: 1
     332: 1
     333: 1
     353: 1
     368: 1
     370: 1
     372: 1
     381: 1
     382: 1
     384: 1
     412: 1
     429: 1
     443: 1
     447: 1
     500: 1

501:   0: 3q+1
       1: 3q+1
       2: 2q^2+3q+1
       3: q^2+2q+1
       4: 3q+1
       5: 3q+1
       6: q^2+2q+1
       7: 3q+1
       8: 2q^2+3q+1
       9: q^2+2q+1
      10: q^2+2q+1
      11: 3q+1
      12: q^3+q^2+q+1
      13: q^2+2q+1
      14: q^3+q^2+q+1
      15: q^2+2q+1
      16: q^3+q^2+q+1
      17: q^3+q^2+q+1
      18: q^3+q^2+q+1
      19: q^3+q^2+q+1
      20: 3q+1
      21: q^2+2q+1
      22: 3q+1
      23: q^3+q^2+q+1
      24: q^2+2q+1
      25: q^3+q^2+q+1
      26: 3q+1
      27: q^2+2q+1
      28: 3q+1
      29: q^2+2q+1
      30: q^3+q^2+q+1
      31: q^3+q^2+q+1
      32: 3q+1
      33: 3q+1
      34: q^2+q+1
      35: q^2+q+1
      36: q^2+q+1
      37: q^2+q+1
      38: 2q+1
      39: 2q+1
      40: 2q+1
      41: 2q+1
      42: 2q+1
      43: 2q+1
      44: 3q+1
      45: 3q+1
      46: 2q^2+3q+1
      47: 3q+1
      48: q^2+q+1
      49: q^2+q+1
      50: 2q+1
      51: 2q+1
      52: 2q+1
      53: 2q+1
      54: 3q+1
      55: 3q+1
      56: 3q+1
      57: 3q+1
      58: q^2+2q+1
      59: 3q+1
      60: q^2+2q+1
      61: q^3+q^2+q+1
      62: q^3+q^2+q+1
      63: 3q+1
      64: 3q+1
      65: q^2+q+1
      66: q^2+q+1
      67: q^2+q+1
      68: q^2+q+1
      69: 2q+1
      70: q+1
      71: 2q+1
      72: q+1
      73: q+1
      74: q+1
      75: 2q+1
      76: 2q+1
      77: q^2+2q+1
      78: 2q+1
      79: 2q+1
      80: 2q+1
      81: 2q+1
      82: 2q+1
      83: 2q+1
      84: 2q+1
      85: q^2+q+1
      86: q^2+q+1
      87: q+1
      88: q+1
      89: 2q+1
      90: 2q+1
      91: q+1
      92: q+1
      93: q+1
      94: 2q+1
      95: 2q+1
      96: 3q+1
      97: 3q+1
      98: 2q+1
      99: 2q+1
     100: 2q+1
     101: 2q+1
     102: q+1
     103: q
     104: q+1
     105: q
     106: q+1
     107: q
     108: 3q+1
     109: 3q+1
     110: q^2+q+1
     111: q^2+q+1
     112: q^2+q+1
     113: q^2+q+1
     114: 1
     115: q+1
     116: q+1
     117: q+1
     118: 2q+1
     119: q+1
     120: 2q+1
     121: q+1
     122: q+1
     123: q+1
     124: 2q+1
     125: q+1
     126: 2q+1
     127: q+1
     128: q+1
     129: q+1
     130: q+1
     131: q
     132: q+1
     133: q
     134: q^2+q+1
     135: q^2+q+1
     136: q+1
     137: q+1
     138: 1
     139: q+1
     140: q+1
     141: q+1
     142: q+1
     143: q+1
     144: 1
     145: q+1
     146: 2q+1
     147: 3q+1
     148: q+1
     149: q+1
     150: 1
     152: 1
     153: q
     154: 1
     155: q
     156: q+1
     157: q+1
     158: 2q+1
     159: 2q+1
     160: q+1
     161: 1
     162: q+1
     163: q+1
     164: q+1
     165: 2q+1
     166: q+1
     167: 2q+1
     168: q+1
     169: q+1
     170: q+1
     171: 2
     172: 1
     173: 2
     174: 1
     175: 1
     176: 1
     177: 2q+1
     178: q+1
     179: 2q+1
     180: q+1
     181: q+1
     182: q+1
     183: 1
     185: 1
     186: q
     187: q+1
     188: q
     189: q+1
     190: 1
     191: q+1
     192: q+1
     193: 1
     194: 1
     195: q+1
     196: q+1
     197: q+1
     198: q+1
     199: 1
     200: q+1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 2
     207: 1
     209: 1
     211: 1
     213: 1
     214: q
     215: 1
     216: q
     217: q+1
     218: q+1
     219: q+1
     220: q+1
     221: q+1
     222: q+1
     223: q+1
     224: 1
     225: 2
     226: 1
     227: q+1
     228: q+1
     229: q+1
     230: 2
     231: 1
     232: 2
     233: 1
     234: 1
     235: 1
     236: 2q+1
     237: q+1
     238: 2q+1
     239: q+1
     240: q+1
     241: q+1
     242: 1
     244: 1
     246: 1
     247: q
     248: 1
     250: 1
     252: 1
     253: 1
     256: q+1
     257: 1
     258: 1
     259: 1
     260: q+1
     261: q+1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     267: 1
     268: 2
     270: 1
     272: 1
     274: 1
     275: 1
     276: 1
     278: 1
     279: q
     280: 1
     281: q
     282: q+1
     283: q+1
     284: q+1
     285: q+1
     286: q+1
     287: q+1
     288: 1
     289: 1
     290: q+1
     291: 1
     292: 1
     293: 2
     300: 2
     301: 1
     302: 2
     303: 1
     304: 1
     305: 1
     306: 1
     308: 1
     310: 1
     312: 1
     313: q
     314: 1
     316: 1
     318: 1
     320: 1
     321: 1
     324: 1
     333: 1
     334: 1
     337: 1
     338: 1
     339: 2
     341: 1
     343: 1
     345: 1
     346: 1
     347: 1
     348: 1
     351: q+1
     352: q+1
     353: 1
     354: 1
     355: 1
     356: 1
     357: 1
     358: 2
     359: 1
     360: 1
     371: 1
     373: 1
     375: 1
     377: 1
     383: 1
     385: 1
     387: 1
     388: 1
     401: 1
     406: 1
     407: 1
     412: 1
     413: 1
     414: 1
     415: 1
     418: 1
     419: 1
     432: 1
     442: 1
     444: 1
     470: 1
     475: 1
     476: 1
     501: 1

502:   0: q^2+q
       1: q^2+q
       3: q
       4: q^2+q
       5: q^2+q
       6: q
       7: q^2+q
       9: q
      10: q
      11: q^2+q
      12: q^2+q
      13: q
      14: q^2+q
      15: q
      16: q^2+q
      17: q^2+q
      18: q^2+q
      19: q^2+q
      20: q^2+q
      21: q
      22: q^2+q
      23: q^2+q
      24: q
      25: q^2+q
      26: q^2+q
      27: q
      28: q^2+q
      29: q
      30: q^2+q
      31: q^2+q
      34: q
      35: q
      36: q
      37: q
      38: q
      39: q
      40: q
      41: q
      42: q
      43: q
      44: q^2+q
      45: q^2+q
      47: q^2+q
      48: q
      49: q
      50: q
      51: q
      52: q
      53: q
      54: q^2+q
      55: q^2+q
      57: q^2+q
      58: q
      59: q^2+q
      60: q
      61: q^2+q
      62: q^2+q
      65: q
      66: q
      67: q
      68: q
      70: q
      72: q
      73: q
      74: q
      75: q
      76: q
      78: q
      79: q
      80: q
      81: q
      82: q
      83: q
      84: q
      85: q
      86: q
      89: q
      90: q
      91: q
      92: q
      94: q
      95: q
      96: q^2+q
      98: q
      99: q
     100: q
     101: q
     102: q
     104: q
     106: q
     110: q
     111: q
     112: q
     113: q
     114: 1
     115: q+1
     116: q+1
     117: q+1
     119: q
     121: q
     122: q
     123: q
     125: q
     127: q
     128: q
     129: q
     130: q
     132: q
     134: q
     135: q
     138: 1
     139: q+1
     140: q
     141: q
     144: 1
     146: q
     151: 1
     152: q
     153: 1
     154: q
     155: 1
     156: q
     157: q
     158: q
     159: q
     161: 1
     162: q+1
     163: q+1
     164: q+1
     166: q
     168: q
     169: q
     170: q
     178: q
     180: q
     181: q
     182: q
     184: 1
     185: q
     186: 1
     187: q
     189: q+1
     190: 1
     193: 1
     194: 1
     195: q
     196: q
     199: 1
     206: 2
     208: 1
     210: 1
     212: 1
     213: q
     214: 1
     215: q
     216: 1
     219: q
     220: q
     224: 1
     226: 1
     227: q+1
     228: q+1
     229: q+1
     237: q
     239: q
     240: q
     241: q
     243: 1
     245: 1
     246: q
     247: 1
     249: 1
     251: 1
     254: 1
     255: 1
     256: q+1
     257: 1
     258: 1
     259: 1
     262: 1
     263: 1
     269: 2
     271: 1
     273: 1
     277: 1
     278: q
     279: 1
     280: q
     281: 1
     284: q
     285: q
     288: 1
     289: 1
     307: 1
     309: 1
     311: 1
     312: q
     313: 1
     315: 1
     317: 1
     319: 1
     322: 1
     323: 1
     324: 1
     333: 1
     334: 1
     340: 2
     342: 1
     344: 1
     353: 1
     354: 1
     355: 1
     372: 1
     374: 1
     376: 1
     378: 1
     384: 1
     386: 1
     389: 1
     390: 1
     401: 1
     412: 1
     413: 1
     433: 1
     443: 1
     445: 1
     470: 1
     502: 1

503:   0: 2q^2+3q+1
       1: 2q+1
       2: 2q^2+3q+1
       3: q^2+2q+1
       4: 2q^2+3q+1
       5: 2q+1
       6: q+1
       7: 2q+1
       8: 2q^2+3q+1
       9: q^2+2q+1
      10: q+1
      11: 2q+1
      12: q+1
      13: q+1
      14: q+1
      15: q+1
      16: q+1
      18: q+1
      20: 2q+1
      21: q+1
      22: 2q+1
      23: q+1
      24: q+1
      25: q+1
      26: 2q+1
      27: q+1
      28: 2q+1
      29: q+1
      32: 2q^2+3q+1
      33: 2q^2+3q+1
      34: q+1
      35: q+1
      36: q+1
      37: q+1
      38: q^2+2q+1
      39: q+1
      40: q^2+2q+1
      41: q+1
      42: q+1
      43: q+1
      44: 2q^2+3q+1
      45: 2q+1
      46: 2q^2+3q+1
      47: 2q+1
      48: q+1
      49: q+1
      50: q+1
      51: q+1
      52: q+1
      53: q+1
      54: 2q+1
      55: 2q+1
      56: 2q^2+3q+1
      57: 2q+1
      58: q+1
      59: 2q+1
      60: q+1
      63: 2q+1
      64: 2q+1
      65: q+1
      66: q+1
      69: q^2+2q+1
      70: q+1
      71: q^2+2q+1
      72: q+1
      73: q+1
      74: q+1
      75: q+1
      76: 1
      77: q^2+2q+1
      78: 1
      79: q^2+2q+1
      80: q+1
      81: q^2+2q+1
      82: q+1
      83: q+1
      84: q+1
      87: q+1
      88: q+1
      89: q+1
      90: q+1
      91: q+1
      92: q+1
      93: q+1
      94: 1
      95: 1
      96: 2q+1
      97: 2q+1
      98: q+1
      99: q+1
     100: q+1
     101: q+1
     102: q+1
     104: 1
     106: 1
     108: 2q+1
     109: 2q+1
     110: q+1
     112: q+1
     114: q+1
     115: 1
     116: q^2+2q+1
     117: 1
     118: q+1
     119: q+1
     120: q+1
     122: q+1
     124: q^2+2q+1
     125: q+1
     126: q^2+2q+1
     127: q+1
     128: q+1
     129: q+1
     130: 1
     132: 1
     136: q+1
     137: q+1
     138: 1
     139: 1
     142: q+1
     143: q+1
     144: q+1
     145: 1
     146: 1
     147: 2q+1
     148: q+1
     149: q+1
     150: q+1
     152: 1
     154: 1
     156: q+1
     157: q+1
     158: q+1
     159: q+1
     160: q+1
     161: 1
     162: 1
     163: q+1
     165: q+1
     166: q+1
     167: q+1
     169: q+1
     171: 2q+2
     172: 1
     173: 2q+2
     174: 1
     175: 1
     176: 1
     177: q+1
     178: q+1
     179: q+1
     181: q+1
     183: 1
     185: 1
     187: 1
     190: 1
     193: 1
     194: 1
     197: q+1
     198: q+1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 2q+2
     207: 1
     209: 1
     211: 1
     213: 1
     217: q+1
     218: q+1
     221: q+1
     222: q+1
     223: 1
     224: q+1
     225: 2q+2
     226: 1
     227: 1
     228: q+1
     230: 2
     231: 1
     232: 2
     234: 1
     236: q+1
     237: q+1
     238: q+1
     240: q+1
     242: 1
     244: 1
     248: 1
     250: 1
     252: q+1
     253: q+1
     257: 1
     259: 1
     262: 1
     263: 1
     264: 1
     265: 1
     268: 2
     270: 1
     274: 1
     275: 1
     276: 1
     278: 1
     286: q+1
     287: q+1
     288: 1
     289: 1
     290: 1
     291: 1
     292: 1
     293: 2
     294: 2
     295: 1
     296: 2
     298: 1
     300: 2
     301: 1
     302: 2
     304: 1
     306: 1
     308: 1
     314: 1
     318: 1
     320: 1
     321: 1
     327: 2
     329: 1
     334: 1
     335: 1
     336: 1
     339: 2
     341: 1
     347: 1
     348: 1
     350: 2
     353: 1
     354: 1
     355: 1
     356: 1
     357: 1
     358: 2
     359: 1
     360: 1
     361: 2
     362: 1
     363: 2
     365: 1
     369: 1
     373: 1
     379: 1
     380: 1
     383: 1
     385: 1
     387: 1
     388: 1
     393: 2
     395: 1
     404: 1
     405: 1
     411: 2
     413: 1
     416: 1
     417: 1
     418: 1
     419: 1
     430: 1
     438: 1
     439: 1
     444: 1
     446: 1
     473: 1
     474: 1
     503: 1

504:   1: q^3+q^2
       5: q^3+q^2
       6: q^2
       7: q^3+q^2
      10: q^2
      11: q^3+q^2
      12: q^2
      13: q^2
      14: q^2
      15: q^2
      16: q^2
      18: q^2
      20: q^3+q^2
      21: q^2
      22: q^3+q^2
      23: q^2
      24: q^2
      25: q^2
      34: q^2
      35: q^2
      36: q^2
      37: q^2
      39: q^2
      41: q^2
      42: q^2
      43: q^2
      45: q^3+q^2
      47: q^3+q^2
      48: q^2
      49: q^2
      50: q^2
      51: q^2
      54: q^3+q^2
      70: q^2
      72: q^2
      73: q^2
      74: q^2
      76: q^2
      78: q^2
      80: q^2
      82: q^2
      83: q^2
      84: q^2
      91: q^2
      92: q^2
      94: q^2
      98: q^2
      99: q^2
     104: q^2
     106: q^2
     115: q^2
     117: q^2
     125: q^2
     127: q^2
     128: q^2
     129: q^2
     130: q^2
     139: q^2
     152: q^2
     154: q^2
     156: q^2
     157: q^2
     161: 1
     162: 1
     163: q+1
     185: q^2
     190: 1
     194: 1
     212: 1
     214: 1
     226: 1
     227: 1
     228: q+1
     249: 1
     257: 1
     259: 1
     262: 1
     269: 2
     271: 1
     277: 1
     279: 1
     289: 1
     307: 1
     315: 1
     322: 1
     323: 1
     328: 2
     330: 1
     334: 1
     340: 2
     342: 1
     353: 1
     355: 1
     370: 1
     374: 1
     381: 1
     382: 1
     384: 1
     389: 1
     390: 1
     394: 2
     396: 1
     413: 1
     431: 1
     440: 1
     441: 1
     445: 1
     447: 1
     504: 1

505:   0: 3q+1
       1: 3q+1
       2: q^3+3q^2+3q+1
       3: 3q+1
       4: 3q+1
       5: q+1
       6: 3q+1
       7: 3q+1
       8: q^3+3q^2+3q+1
       9: 3q+1
      10: q+1
      11: q+1
      12: q^4+q^3+q+1
      13: 3q+1
      14: q^3+1
      15: q+1
      16: q^4+q^3+q+1
      17: q^3+1
      18: q^3+1
      19: q^3+1
      20: q+1
      21: q+1
      22: q+1
      23: q^3+1
      24: q+1
      25: q^3+1
      26: 3q+1
      27: 3q+1
      28: 3q+1
      29: 3q+1
      30: q^3+1
      31: q^3+1
      32: 3q+1
      33: 3q+1
      34: q+1
      35: 1
      36: q+1
      37: 1
      38: 3q+1
      39: 3q+1
      40: 3q+1
      41: q+1
      42: 3q+1
      43: q+1
      44: 3q+1
      45: 3q+1
      46: q^3+3q^2+3q+1
      47: q+1
      48: 1
      49: 1
      50: q+1
      51: q+1
      52: 3q+1
      53: 3q+1
      54: q+1
      55: 3q+1
      56: 3q+1
      57: q+1
      58: q+1
      59: q+1
      60: q+1
      61: q^3+1
      62: q^3+1
      63: 3q+1
      64: 3q+1
      65: q+1
      66: q+1
      67: 1
      68: 1
      69: 3q+1
      70: q+1
      71: 3q+1
      72: 1
      73: q+1
      74: 1
      75: 3q+1
      76: 3q+1
      77: q^3+3q^2+3q+1
      78: q+1
      79: 3q+1
      80: 3q+1
      81: 3q+1
      82: q+1
      83: 3q+1
      84: q+1
      85: 1
      86: 1
      87: q+1
      88: q+1
      89: q+1
      90: q+1
      91: 1
      92: 1
      93: 3q+1
      94: q+1
      95: 3q+1
      96: q+1
      97: 3q+1
      98: q+1
      99: q+1
     100: 3q+1
     101: 3q+1
     102: 3q+1
     104: 3q+1
     106: q+1
     108: q+1
     109: q+1
     110: 1
     111: 1
     112: 1
     113: 1
     114: q+1
     115: q+1
     116: q+1
     117: q+1
     118: 3q+1
     119: q+1
     120: 3q+1
     121: 1
     122: q+1
     123: 1
     124: 3q+1
     125: q+1
     126: 3q+1
     127: 1
     128: q+1
     129: 1
     130: q+1
     132: 3q+1
     134: 1
     135: 1
     136: 1
     137: 1
     138: 1
     139: q+1
     140: 1
     141: 1
     142: q+1
     143: q+1
     144: q+1
     145: 3q+1
     146: q+1
     147: q+1
     148: q+1
     149: q+1
     150: q+1
     152: 1
     153: q
     154: 1
     155: q
     156: 1
     157: 1
     158: q+1
     159: q+1
     160: 3q+1
     161: q+1
     162: q+1
     163: q+1
     164: q+1
     165: q+1
     166: 1
     167: q+1
     168: 1
     169: 1
     170: 1
     171: 3q+1
     172: q+1
     173: 3q+1
     174: 1
     175: q+1
     176: 1
     177: 3q+1
     178: q+1
     179: 3q+1
     180: 1
     181: q+1
     182: 1
     183: 1
     185: 1
     186: q
     187: q+1
     189: q+1
     190: 1
     191: 1
     192: 1
     193: 1
     194: q+1
     195: 1
     196: 1
     197: 1
     198: 1
     199: 1
     200: q+1
     201: q+1
     202: q+1
     203: 1
     204: 1
     205: q+1
     207: 1
     208: q
     209: 1
     210: q
     211: q+1
     213: 1
     214: q
     215: 1
     216: q
     217: 1
     218: 1
     219: 1
     220: 1
     221: q+1
     222: q+1
     223: 3q+1
     224: q+1
     225: 3q+1
     230: 3q+1
     231: q+1
     232: 3q+1
     233: 1
     234: q+1
     235: 1
     236: q+1
     237: 1
     238: q+1
     239: 1
     240: 1
     241: 1
     242: 1
     244: 1
     245: q
     246: 1
     247: q
     248: 1
     250: 1
     252: q+1
     258: 1
     260: 1
     261: 1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     267: 1
     268: q+1
     270: 1
     271: q
     272: 1
     273: q
     274: q+1
     275: q+1
     282: 1
     283: 1
     284: 1
     285: 1
     286: 1
     287: 1
     288: 1
     289: q+1
     290: q+1
     291: q+1
     292: q+1
     293: 3q+1
     300: q+1
     301: 1
     302: q+1
     303: 1
     304: 1
     305: 1
     306: 1
     308: 1
     310: 1
     311: q
     316: 1
     318: 1
     320: q+1
     333: 1
     337: 1
     338: 1
     345: 1
     346: 1
     347: 1
     348: 1
     349: 1
     351: 1
     352: 1
     353: 1
     354: 1
     356: 1
     357: 1
     358: q+1
     359: q+1
     360: q+1
     371: 1
     383: 1
     385: 1
     391: 1
     406: 1
     407: 1
     408: 1
     409: 1
     412: 1
     414: 1
     415: 1
     418: 1
     419: 1
     442: 1
     448: 1
     450: 1
     466: 1
     475: 1
     476: 1
     505: 1

506:   0: 3q^2+q
       1: 3q^2+q
       3: 3q^2+q
       4: 3q^2+q
       5: q^2+q
       6: 3q^2+q
       7: 3q^2+q
       9: 3q^2+q
      10: q^2+q
      11: q^2+q
      12: q^3+2q^2+q
      13: 3q^2+q
      14: q^2+q
      15: q^2+q
      16: q^3+2q^2+q
      17: q^2+q
      18: q^2+q
      19: q^2+q
      20: q^2+q
      21: q^2+q
      22: q^2+q
      23: q^2+q
      24: q^2+q
      25: q^2+q
      26: 3q^2+q
      27: 3q^2+q
      28: 3q^2+q
      29: 3q^2+q
      30: q^2+q
      31: q^2+q
      34: q^2+q
      35: q
      36: q^2+q
      37: q
      38: 3q^2+q
      39: 3q^2+q
      40: 3q^2+q
      41: q^2+q
      42: 3q^2+q
      43: q^2+q
      44: 3q^2+q
      45: 3q^2+q
      47: q^2+q
      48: q
      49: q
      50: q^2+q
      51: q^2+q
      52: 3q^2+q
      53: 3q^2+q
      54: q^2+q
      55: 3q^2+q
      57: q^2+q
      58: q^2+q
      59: q^2+q
      60: q^2+q
      61: q^2+q
      62: q^2+q
      65: q^2+q
      66: q^2+q
      67: q
      68: q
      70: q^2+q
      72: q
      73: q^2+q
      74: q
      75: 3q^2+q
      76: 3q^2+q
      78: q^2+q
      79: 3q^2+q
      80: 3q^2+q
      81: 3q^2+q
      82: q^2+q
      83: 3q^2+q
      84: q^2+q
      85: q
      86: q
      89: q^2+q
      90: q^2+q
      91: q
      92: q
      94: q^2+q
      95: 3q^2+q
      96: q^2+q
      98: q^2+q
      99: q^2+q
     100: 3q^2+q
     101: 3q^2+q
     102: 3q^2+q
     104: 3q^2+q
     106: q^2+q
     110: q
     111: q
     112: q
     113: q
     114: q+1
     115: q+1
     116: q+1
     117: q+1
     119: q^2+q
     121: q
     122: q^2+q
     123: q
     125: q^2+q
     127: q
     128: q^2+q
     129: q
     130: q^2+q
     132: 3q^2+q
     134: q
     135: q
     138: 1
     139: q+1
     140: q
     141: q
     144: q+1
     146: q^2+q
     151: q+1
     152: q
     153: 1
     154: q
     155: 1
     156: q
     157: q
     158: q^2+q
     159: q^2+q
     161: q+1
     162: q+1
     163: q+1
     164: q+1
     166: q
     168: q
     169: q
     170: q
     172: q^2+q
     174: q
     175: q^2+q
     176: q
     178: q^2+q
     180: q
     181: q^2+q
     182: q
     184: 1
     185: q
     186: 1
     187: q^2+q
     189: q+1
     190: 1
     193: 1
     194: q+1
     195: q
     196: q
     199: 1
     203: q
     204: q
     206: q+1
     207: q
     208: 1
     209: q
     210: 1
     212: q+1
     213: q
     214: 1
     215: q
     216: 1
     219: q
     220: q
     224: q+1
     231: q^2+q
     233: q
     234: q^2+q
     235: q
     237: q
     239: q
     240: q
     241: q
     243: 1
     244: q
     245: 1
     246: q
     247: 1
     249: 1
     251: 1
     254: q+1
     258: 1
     262: 1
     263: 1
     266: q
     267: q
     269: q+1
     270: q
     271: 1
     272: q
     273: 1
     284: q
     285: q
     288: 1
     289: q+1
     301: q
     303: q
     304: q
     305: q
     307: 1
     309: 1
     310: q
     311: 1
     317: 1
     319: 1
     322: q+1
     333: 1
     345: q
     346: q
     349: 1
     353: 1
     354: 1
     372: 1
     384: 1
     386: 1
     392: 1
     408: 1
     409: 1
     412: 1
     443: 1
     449: 1
     451: 1
     466: 1
     506: 1

507:   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: q+1
      10: 1
      11: 1
      12: q^3+1
      13: 1
      14: q^3+1
      15: 1
      16: q^3+1
      18: q^3+1
      20: 1
      21: 1
      22: 1
      23: q^3+1
      24: 1
      25: q^3+1
      26: 1
      27: 1
      28: 1
      29: 1
      32: q+1
      33: q+1
      34: 1
      35: 1
      36: 1
      37: 1
      38: q+1
      39: 1
      40: q+1
      41: 1
      42: 1
      43: 1
      44: q+1
      45: 1
      46: q^3+q+1
      47: 1
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: q+1
      57: 1
      58: 1
      59: 1
      60: 1
      63: 1
      64: 1
      65: 1
      66: 1
      69: q+1
      70: 1
      71: q+1
      72: 1
      73: 1
      74: 1
      75: q+1
      76: 1
      77: q^3+q+1
      78: 1
      79: q+1
      80: 1
      81: q+1
      82: 1
      83: 1
      84: 1
      87: 1
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: q+1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: q+1
     104: 1
     106: 1
     108: 1
     109: 1
     110: 1
     112: 1
     114: q+1
     115: q+1
     116: q+1
     117: q+1
     118: 1
     119: 1
     120: 1
     122: 1
     124: q+1
     125: 1
     126: q+1
     127: 1
     128: 1
     129: 1
     130: 1
     132: 1
     136: 1
     137: 1
     138: 1
     139: q+1
     142: 1
     143: 1
     144: q+1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: q+1
     152: 1
     153: q
     154: 1
     155: q
     156: 1
     157: 1
     158: 1
     159: 1
     160: q+1
     161: 1
     162: q+1
     163: 1
     165: 1
     166: 1
     167: 1
     169: 1
     171: q+1
     172: 1
     173: q+1
     174: 1
     175: 1
     176: 1
     177: 1
     178: 1
     179: 1
     181: 1
     183: 1
     185: 1
     186: q
     187: 1
     190: 1
     193: 1
     194: 1
     197: 1
     198: 1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: q+1
     207: 1
     208: q
     209: 1
     210: q
     211: 1
     213: 1
     214: q
     217: 1
     218: 1
     221: 1
     222: 1
     223: 1
     224: q+1
     225: q+1
     226: 1
     227: q+1
     228: 1
     230: 1
     231: 1
     232: 1
     234: 1
     236: 1
     237: 1
     238: 1
     240: 1
     242: 1
     244: 1
     245: q
     248: 1
     250: 1
     252: q+1
     257: 1
     259: 1
     262: 1
     263: 1
     264: 1
     265: 1
     268: 1
     270: 1
     271: q
     274: 1
     275: 1
     276: 1
     278: 1
     279: q
     286: 1
     287: 1
     288: 1
     289: 1
     290: 1
     291: 1
     292: 1
     293: 1
     300: 1
     301: 1
     302: 1
     304: 1
     306: 1
     308: 1
     314: 1
     318: 1
     320: 1
     334: 1
     339: 1
     341: 1
     342: q
     347: 1
     348: 1
     349: 1
     353: 1
     354: 1
     355: 1
     356: 1
     357: 1
     358: 1
     359: 1
     360: 1
     373: 1
     383: 1
     385: 1
     387: 1
     391: 1
     408: 1
     409: 1
     413: 1
     418: 1
     419: 1
     444: 1
     448: 1
     450: 1
     467: 1
     507: 1

508:   0: q^2+q
       1: q
       3: q^2+q
       4: q^2+q
       5: q
       6: q
       7: q
       9: q^2+q
      10: q
      11: q
      12: q^2+q
      13: q
      14: q^2+q
      15: q
      16: q^2+q
      18: q^2+q
      20: q
      21: q
      22: q
      23: q^2+q
      24: q
      25: q^2+q
      26: q
      27: q
      28: q
      29: q
      34: q
      35: q
      36: q
      37: q
      38: q^2+q
      39: q
      40: q^2+q
      41: q
      42: q
      43: q
      44: q^2+q
      45: q
      47: q
      48: q
      49: q
      50: q
      51: q
      52: q
      53: q
      54: q
      55: q
      57: q
      58: q
      59: q
      60: q
      65: q
      66: q
      70: q
      72: q
      73: q
      74: q
      75: q^2+q
      76: q
      78: q
      79: q^2+q
      80: q
      81: q^2+q
      82: q
      83: q
      84: q
      89: q
      90: q
      91: q
      92: q
      94: q
      95: q
      96: q
      98: q
      99: q
     100: q
     101: q
     102: q^2+q
     104: q
     106: q
     110: q
     112: q
     114: q+1
     115: q+1
     116: q+1
     117: q+1
     119: q
     122: q
     125: q
     127: q
     128: q
     129: q
     130: q
     132: q
     138: 1
     139: q+1
     144: q+1
     146: q
     151: q+1
     152: q
     153: 1
     154: q
     155: 1
     156: q
     157: q
     158: q
     159: q
     161: 1
     162: q+1
     163: 1
     166: q
     169: q
     172: q
     174: q
     175: q
     176: q
     178: q
     181: q
     184: 1
     185: q
     186: 1
     187: q
     190: 1
     193: 1
     194: 1
     199: 1
     203: q
     204: q
     206: q+1
     207: q
     208: 1
     209: q
     210: 1
     212: 1
     213: q
     214: 1
     224: q+1
     226: 1
     227: q+1
     228: 1
     231: q
     234: q
     237: q
     240: q
     243: 1
     244: q
     245: 1
     249: 1
     251: 1
     254: q+1
     257: 1
     259: 1
     262: 1
     263: 1
     269: 1
     270: q
     271: 1
     277: 1
     278: q
     279: 1
     288: 1
     289: 1
     301: q
     304: q
     307: 1
     309: 1
     315: 1
     319: 1
     322: 1
     334: 1
     340: 1
     341: q
     342: 1
     349: 1
     353: 1
     354: 1
     355: 1
     374: 1
     384: 1
     386: 1
     389: 1
     392: 1
     408: 1
     409: 1
     413: 1
     445: 1
     449: 1
     451: 1
     467: 1
     508: 1

509:   0: 2q+1
       1: 1
       2: 2q+1
       3: 2q+1
       4: 2q+1
       5: 1
       6: 1
       7: 1
       8: 2q+1
       9: 2q+1
      10: 1
      11: 1
      12: 1
      13: 1
      14: 1
      15: 1
      16: 1
      18: 1
      20: 1
      21: 1
      22: 1
      23: 1
      24: 1
      25: 1
      26: 1
      27: 1
      28: 1
      29: 1
      32: 2q+1
      33: 2q+1
      34: 1
      35: 1
      36: 1
      37: 1
      38: 2q+1
      39: 1
      40: 2q+1
      41: 1
      42: 1
      43: 1
      44: 2q+1
      45: 1
      46: 2q+1
      47: 1
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 2q+1
      57: 1
      58: 1
      59: 1
      60: 1
      63: 1
      64: 1
      65: 1
      66: 1
      69: 2q+1
      70: 1
      71: 2q+1
      72: 1
      73: 1
      74: 1
      75: 2q+1
      76: 1
      77: 2q+1
      78: 1
      79: 2q+1
      80: 1
      81: 2q+1
      82: 1
      83: 1
      84: 1
      87: 1
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 2q+1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 2q+1
     104: 1
     106: 1
     108: 1
     109: 1
     110: 1
     112: 1
     114: 2q+1
     115: 1
     116: 2q+1
     117: 1
     118: 1
     119: 1
     120: 1
     122: 1
     124: 2q+1
     125: 1
     126: 2q+1
     127: 1
     128: 1
     129: 1
     130: 1
     132: 1
     136: 1
     137: 1
     138: 1
     139: 1
     142: 1
     143: 1
     144: 2q+1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 2q+1
     152: 1
     154: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 2q+1
     165: 1
     166: 1
     167: 1
     169: 1
     171: 2q+1
     172: 1
     173: 2q+1
     174: 1
     175: 1
     176: 1
     177: 1
     178: 1
     179: 1
     181: 1
     183: 1
     185: 1
     187: 1
     193: 1
     197: 1
     198: 1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 2q+1
     207: 1
     209: 1
     217: 1
     218: 1
     221: 1
     222: 1
     223: 1
     224: 2q+1
     225: 2q+1
     230: 1
     231: 1
     232: 1
     234: 1
     236: 1
     237: 1
     238: 1
     240: 1
     242: 1
     244: 1
     250: 1
     252: 2q+1
     263: 1
     264: 1
     265: 1
     274: 1
     275: 1
     286: 1
     287: 1
     288: 1
     290: 1
     291: 1
     292: 1
     293: 1
     294: 1
     295: 1
     296: 1
     298: 1
     300: 1
     301: 1
     302: 1
     304: 1
     308: 1
     318: 1
     335: 1
     336: 1
     347: 1
     348: 1
     349: 1
     350: 1
     354: 1
     356: 1
     357: 1
     358: 1
     359: 1
     360: 1
     361: 1
     362: 1
     363: 1
     365: 1
     385: 1
     391: 1
     404: 1
     405: 1
     408: 1
     410: 1
     411: 1
     416: 1
     417: 1
     418: 1
     419: 1
     448: 1
     452: 1
     468: 1
     473: 1
     474: 1
     509: 1

510:   0: 2q^2+q
       1: q
       2: 2q^2+q
       3: 2q^3+3q^2+q
       4: 2q^2+q
       5: q
       6: q^2+q
       7: q
       8: 2q^2+q
       9: 2q^3+3q^2+q
      10: q^2+q
      11: q
      12: q^2+q
      13: q^2+q
      14: q^2+q
      15: q^2+q
      16: q^2+q
      18: q^2+q
      20: q
      21: q^2+q
      22: q
      23: q^2+q
      24: q^2+q
      25: q^2+q
      26: q
      27: q^2+q
      28: q
      29: q^2+q
      32: 2q^2+q
      33: 2q^2+q
      34: q^2+q
      35: q^2+q
      36: q^2+q
      37: q^2+q
      38: 2q^2+q
      39: q
      40: 2q^2+q
      41: q
      42: q
      43: q
      44: 2q^2+q
      45: q
      46: 2q^2+q
      47: q
      48: q^2+q
      49: q^2+q
      50: q
      51: q
      52: q
      53: q
      54: q
      55: q
      56: 2q^2+q
      57: q
      58: q^2+q
      59: q
      60: q^2+q
      63: q
      64: q
      65: q^2+q
      66: q^2+q
      69: 2q^2+q
      70: q
      71: 2q^2+q
      72: q
      73: q
      74: q
      75: 3q^2+2q
      76: 2q
      77: q^2+q
      78: 2q
      79: 2q^2+q
      80: q
      81: 2q^2+q
      82: q
      83: q
      84: q
      87: q
      88: q
      89: q
      90: q
      91: q
      92: q
      93: q^2+q
      94: 2q
      95: 2q
      96: q
      97: q
      98: q
      99: q
     100: q
     101: q
     102: 2q^2+q
     103: q^2+q
     104: q
     105: q
     106: q
     107: q
     108: q
     109: q
     110: q^2+q
     112: q^2+q
     114: 3q^2+2q
     115: 2q
     116: q^2+q
     117: 2q
     118: q
     119: q
     120: q
     122: q
     124: 2q^2+q
     125: q
     126: 2q^2+q
     127: q
     128: q
     129: q
     130: q
     131: q
     132: q
     133: q
     136: q
     137: q
     138: 2q
     139: 2q
     142: q
     143: q
     144: q^2+q
     145: q
     146: 2q
     147: q
     148: q
     149: q
     150: 2q^2+q
     151: q^2+q
     152: q
     153: q
     154: q
     155: q
     156: q
     157: q
     158: q
     159: q
     160: q^2+q
     165: q
     166: q
     167: q
     169: q
     172: q
     174: q
     175: q
     176: q
     177: q
     178: q
     179: q
     181: q
     183: q
     184: q
     185: q
     186: q
     187: q
     188: q
     193: 2q
     197: q
     198: q
     199: q
     200: q
     203: q
     204: q
     207: q
     209: q
     217: q
     218: q
     221: q
     222: q
     223: q
     224: q^2+q
     231: q
     234: q
     236: q
     237: q
     238: q
     240: q
     244: q
     250: q
     251: q
     263: q
     286: q
     287: q
     288: q
     290: q
     295: q
     298: q
     301: q
     304: q
     349: 1
     354: q
     362: q
     365: q
     392: 1
     408: 1
     410: 1
     449: 1
     453: 1
     468: 1
     510: 1

511:   0: 3q^2+4q+1
       1: q^3+2q^2+4q+1
       2: 3q^2+4q+1
       3: 3q^2+4q+1
       4: 3q^2+4q+1
       5: q^2+2q+1
       6: q^3+2q^2+4q+1
       7: q^3+2q^2+4q+1
       8: 3q^2+4q+1
       9: 3q^2+4q+1
      10: q^2+2q+1
      11: q^2+2q+1
      12: q^3+2q^2+4q+1
      13: q^3+2q^2+4q+1
      14: q^2+2q+1
      15: q^2+2q+1
      16: q^3+2q^2+4q+1
      17: q^3+q^2+q+1
      18: q^2+2q+1
      19: q^3+q^2+q+1
      20: q^2+2q+1
      21: q^2+2q+1
      22: q^2+2q+1
      23: q^2+2q+1
      24: q^2+2q+1
      25: q^2+2q+1
      26: q^2+4q+1
      27: q^2+4q+1
      28: q^2+4q+1
      29: q^2+4q+1
      30: q^2+q+1
      31: q^2+q+1
      32: 3q^2+4q+1
      33: 3q^2+4q+1
      34: q^3+2q^2+4q+1
      35: q^2+2q+1
      36: q^3+2q^2+4q+1
      37: q^2+2q+1
      38: 3q^2+4q+1
      39: q^3+2q^2+4q+1
      40: 3q^2+4q+1
      41: q^2+2q+1
      42: q^3+2q^2+4q+1
      43: q^2+2q+1
      44: q^2+4q+1
      45: q^2+4q+1
      46: q^2+4q+1
      47: q^2+2q+1
      48: q^2+2q+1
      49: q^2+2q+1
      50: q^2+2q+1
      51: q^2+2q+1
      52: q^2+4q+1
      53: q^2+4q+1
      54: q^2+2q+1
      55: 4q+1
      56: q^2+4q+1
      57: 2q+1
      58: 2q+1
      59: 2q+1
      60: 2q+1
      61: q^2+q+1
      62: q^2+q+1
      63: q^2+4q+1
      64: q^2+4q+1
      65: q^2+4q+1
      66: q^2+4q+1
      67: q^2+q+1
      68: q^2+q+1
      69: 3q^2+4q+1
      70: q^3+2q^2+4q+1
      71: 3q^2+4q+1
      72: q^2+2q+1
      73: q^3+2q^2+4q+1
      74: q^2+2q+1
      75: q^2+4q+1
      76: q^2+4q+1
      77: q^2+4q+1
      78: q^2+2q+1
      79: 3q+1
      80: 3q+1
      81: 3q+1
      82: q+1
      83: 3q+1
      84: q+1
      85: q+1
      86: q+1
      87: q^2+4q+1
      88: q^2+4q+1
      89: 2q+1
      90: 2q+1
      91: q^2+2q+1
      92: q^2+2q+1
      93: q^2+4q+1
      94: q^2+2q+1
      95: 4q+1
      96: 2q+1
      97: 4q+1
      98: q+1
      99: q+1
     100: 3q+1
     101: 3q+1
     102: 3q+1
     104: 3q+1
     106: q+1
     108: 2q+1
     109: 2q+1
     110: 2q+1
     111: q^2+q+1
     112: 2q+1
     113: q^2+q+1
     114: q^2+4q+1
     115: q^2+4q+1
     116: q^2+4q+1
     117: q^2+2q+1
     118: q^2+4q+1
     119: q^2+4q+1
     120: q^2+4q+1
     121: q^2+q+1
     122: q^2+4q+1
     123: q^2+q+1
     124: 3q+1
     125: 3q+1
     126: 3q+1
     127: q+1
     128: 3q+1
     129: q+1
     130: q+1
     132: 3q+1
     134: q+1
     135: q+1
     136: 2q+1
     137: 2q+1
     138: 4q+1
     139: q^2+2q+1
     140: q+1
     141: q+1
     142: q^2+4q+1
     143: q^2+4q+1
     144: q^2+4q+1
     145: 4q+1
     146: 2q+1
     147: 2q+1
     148: 3q+1
     149: 3q+1
     150: 3q+1
     152: 3q+1
     154: q+1
     156: q+1
     157: q+1
     158: q+1
     159: q+1
     160: q+1
     161: 2q+2
     162: 2q+2
     163: 2q+2
     164: q^2+q+2
     165: 2q+1
     166: 2q+1
     167: 2q+1
     168: q^2+q+1
     169: 2q+1
     170: q^2+q+1
     171: 3q+1
     172: 3q+1
     173: 3q+1
     174: q+1
     175: 3q+1
     176: q+1
     177: q+1
     178: q+1
     179: q+1
     180: 1
     181: q+1
     182: 1
     183: 3q+1
     185: q+1
     187: q+1
     189: q+2
     190: 2q+2
     191: q+1
     192: q+1
     193: 2q+1
     194: 2q+2
     195: q+1
     196: q+1
     197: 2q+1
     198: 2q+1
     199: 4q+1
     200: 2q+1
     201: 3q+1
     202: 3q+1
     203: q+1
     204: q+1
     205: 3q+1
     207: 3q+1
     209: q+1
     211: 1
     212: 1
     213: 1
     214: 1
     215: 1
     216: 1
     217: q+1
     218: q+1
     219: 1
     220: 1
     221: q+1
     222: q+1
     223: 1
     224: q+1
     225: q+1
     230: q+1
     231: q+1
     232: q+1
     233: 1
     234: q+1
     235: 1
     236: 1
     237: 1
     238: 1
     239: 1
     240: 1
     241: 1
     242: 3q+1
     244: q+1
     246: 1
     247: 1
     248: 1
     249: 1
     250: q+1
     252: q+1
     258: q+2
     260: q+1
     261: q+1
     262: 2q+2
     263: 2q+1
     264: q+1
     265: q+1
     266: 1
     267: 1
     268: 1
     269: 1
     270: 1
     271: 1
     272: 1
     273: 1
     274: q+1
     275: q+1
     282: 1
     283: 1
     284: 1
     285: 1
     286: 1
     287: 1
     288: 1
     289: 2
     290: 1
     293: 1
     294: q+1
     295: q+1
     296: q+1
     297: 1
     298: q+1
     299: 1
     300: 1
     301: 1
     302: 1
     303: 1
     304: 1
     305: 1
     306: 1
     307: 1
     308: q+1
     310: 1
     311: 1
     316: 1
     317: 1
     320: 1
     322: 1
     325: 1
     326: 1
     327: 1
     328: 1
     329: 1
     330: 1
     331: 1
     332: 1
     333: q+2
     335: q+1
     336: q+1
     337: 1
     338: 1
     345: 1
     346: 1
     347: 1
     348: 1
     349: 1
     350: 1
     351: 1
     352: 1
     353: 2
     354: 1
     358: 1
     361: 1
     362: 1
     363: 1
     364: 1
     365: 1
     366: 1
     367: 1
     368: 1
     369: 1
     370: 1
     371: 1
     372: 1
     379: 1
     381: 1
     399: 1
     400: 1
     402: 1
     403: 1
     404: 1
     405: 1
     406: 1
     407: 1
     408: 1
     409: 2
     410: 1
     411: 1
     412: 1
     428: 1
     429: 1
     434: 1
     436: 1
     464: 1
     465: 1
     466: 1
     468: 1
     511: 1

512:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       5: q^3+q+1
       6: q+1
       7: q+1
       8: q+1
       9: q+1
      10: q^3+q+1
      11: 1
      12: q+1
      13: q+1
      14: q^3+q+1
      15: 1
      16: q+1
      17: q^3+q+1
      18: 1
      19: 1
      20: q+1
      21: q+1
      22: 1
      23: q+1
      24: 1
      25: 1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      30: q^3+q+1
      31: 1
      32: q+1
      33: q+1
      34: q+1
      35: q^3+q+1
      36: q+1
      37: 1
      38: q+1
      39: q+1
      40: q+1
      41: q^3+q+1
      42: q+1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      48: q+1
      49: 1
      50: q+1
      51: 1
      52: q+1
      53: q+1
      54: 1
      55: 1
      56: 1
      57: q+1
      58: q+1
      59: 1
      60: 1
      61: q+1
      62: 1
      63: q+1
      64: q+1
      65: q+1
      66: q+1
      67: q^3+q+1
      68: 1
      69: q+1
      70: q+1
      71: q+1
      72: q^3+q+1
      73: q+1
      74: 1
      75: 1
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: 1
      82: 1
      83: 1
      84: 1
      85: q+1
      86: 1
      87: q+1
      88: q+1
      89: q+1
      90: 1
      91: q+1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     106: 1
     108: q+1
     109: 1
     110: q+1
     111: q+1
     112: 1
     113: 1
     114: 1
     115: 1
     116: 1
     117: 1
     118: q+1
     119: q+1
     120: q+1
     121: q^3+q+1
     122: q+1
     123: 1
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     132: 1
     134: q+1
     135: 1
     136: q+1
     137: 1
     138: 1
     139: 1
     140: q+1
     141: 1
     142: q+1
     143: q+1
     144: 1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     152: 1
     154: 1
     156: 1
     157: 1
     158: 1
     159: 1
     161: 1
     162: 1
     163: 1
     164: 1
     165: q+1
     166: q+1
     167: 1
     168: q+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
     185: 1
     187: 1
     189: 1
     190: 1
     191: q+1
     192: 1
     193: 1
     194: 1
     195: q+1
     196: 1
     197: q+1
     198: 1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     207: 1
     209: 1
     211: 1
     213: 1
     215: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     230: 1
     231: 1
     232: 1
     233: 1
     234: 1
     235: 1
     236: 1
     237: 1
     239: 1
     242: 1
     244: 1
     246: 1
     248: 1
     250: 1
     258: 1
     260: q+1
     261: 1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     267: 1
     268: 1
     270: 1
     272: 1
     274: 1
     275: 1
     282: 1
     283: 1
     284: 1
     286: 1
     294: 1
     295: 1
     296: 1
     297: 1
     298: 1
     299: 1
     300: 1
     301: 1
     303: 1
     306: 1
     308: 1
     310: 1
     316: 1
     325: 1
     326: 1
     327: 1
     329: 1
     331: 1
     333: 1
     335: 1
     336: 1
     337: 1
     338: 1
     345: 1
     347: 1
     351: 1
     361: 1
     362: 1
     364: 1
     367: 1
     369: 1
     371: 1
     399: 1
     402: 1
     403: 1
     404: 1
     406: 1
     420: 1
     421: 1
     423: 1
     428: 1
     460: 1
     462: 1
     464: 1
     512: 1

513:   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: q+1
      10: 1
      11: q^3+q+1
      12: q+1
      13: q+1
      14: 1
      15: q^3+q+1
      16: q+1
      17: 1
      18: q^3+q+1
      19: q^3+q+1
      20: 1
      21: 1
      22: q+1
      23: 1
      24: q+1
      25: q+1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      30: 1
      31: q^3+q+1
      32: q+1
      33: q+1
      34: q+1
      35: 1
      36: q+1
      37: q^3+q+1
      38: q+1
      39: q+1
      40: q+1
      41: 1
      42: q+1
      43: q^3+q+1
      44: 1
      45: 1
      46: 1
      47: 1
      48: 1
      49: q+1
      50: 1
      51: q+1
      52: q+1
      53: q+1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: q+1
      60: q+1
      61: 1
      62: q+1
      63: q+1
      64: q+1
      65: q+1
      66: q+1
      67: 1
      68: q^3+q+1
      69: q+1
      70: q+1
      71: q+1
      72: 1
      73: q+1
      74: q^3+q+1
      75: 1
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: 1
      82: 1
      83: 1
      84: 1
      85: 1
      86: q+1
      87: q+1
      88: q+1
      89: 1
      90: q+1
      91: 1
      92: q+1
      93: 1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     106: 1
     108: 1
     109: q+1
     110: 1
     111: 1
     112: q+1
     113: q+1
     114: 1
     115: 1
     116: 1
     117: 1
     118: q+1
     119: q+1
     120: q+1
     121: 1
     122: q+1
     123: q^3+q+1
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     132: 1
     134: 1
     135: q+1
     136: 1
     137: q+1
     138: 1
     139: 1
     140: 1
     141: q+1
     142: q+1
     143: q+1
     144: 1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     152: 1
     154: 1
     156: 1
     157: 1
     158: 1
     159: 1
     161: 1
     162: 1
     163: 1
     164: 1
     165: 1
     166: 1
     167: q+1
     168: 1
     169: q+1
     170: q+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
     185: 1
     187: 1
     189: 1
     190: 1
     191: 1
     192: q+1
     193: 1
     194: 1
     195: 1
     196: q+1
     197: 1
     198: q+1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     207: 1
     209: 1
     211: 1
     213: 1
     215: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     230: 1
     231: 1
     232: 1
     233: 1
     234: 1
     235: 1
     238: 1
     240: 1
     241: 1
     242: 1
     244: 1
     246: 1
     248: 1
     250: 1
     258: 1
     260: 1
     261: q+1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     267: 1
     268: 1
     270: 1
     272: 1
     274: 1
     275: 1
     282: 1
     283: 1
     285: 1
     287: 1
     294: 1
     295: 1
     296: 1
     297: 1
     298: 1
     299: 1
     302: 1
     304: 1
     305: 1
     306: 1
     308: 1
     310: 1
     316: 1
     325: 1
     326: 1
     327: 1
     329: 1
     331: 1
     333: 1
     335: 1
     336: 1
     337: 1
     338: 1
     346: 1
     348: 1
     352: 1
     363: 1
     365: 1
     366: 1
     367: 1
     369: 1
     371: 1
     400: 1
     402: 1
     403: 1
     405: 1
     407: 1
     422: 1
     424: 1
     425: 1
     428: 1
     461: 1
     463: 1
     465: 1
     513: 1

514:   0: 3q^2+4q+1
       1: 3q^2+4q+1
       2: 2q^3+5q^2+4q+1
       3: 3q^2+4q+1
       4: 3q^2+4q+1
       5: q^2+2q+1
       6: 3q^2+4q+1
       7: 3q^2+4q+1
       8: 2q^3+5q^2+4q+1
       9: 3q^2+4q+1
      10: q^2+2q+1
      11: q^2+2q+1
      12: q^2+2q+1
      13: 3q^2+4q+1
      14: q+1
      15: q^2+2q+1
      16: q^2+2q+1
      17: q+1
      18: q+1
      19: q+1
      20: q^2+2q+1
      21: q^2+2q+1
      22: q^2+2q+1
      23: q+1
      24: q^2+2q+1
      25: q+1
      26: 3q^2+4q+1
      27: 3q^2+4q+1
      28: 3q^2+4q+1
      29: 3q^2+4q+1
      30: q+1
      31: q+1
      32: 3q^2+4q+1
      33: 3q^2+4q+1
      34: q^2+2q+1
      35: q+1
      36: q^2+2q+1
      37: q+1
      38: 3q^2+4q+1
      39: 3q^2+4q+1
      40: 3q^2+4q+1
      41: q^2+2q+1
      42: 3q^2+4q+1
      43: q^2+2q+1
      44: 2q^2+4q+1
      45: 2q^2+4q+1
      46: q^3+4q^2+4q+1
      47: q^2+2q+1
      48: q+1
      49: q+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: 2q^2+4q+1
      56: 2q^2+4q+1
      57: q^2+2q+1
      58: q^2+2q+1
      59: q^2+2q+1
      60: q^2+2q+1
      61: q+1
      62: q+1
      63: 3q^2+4q+1
      64: 3q^2+4q+1
      65: q^2+2q+1
      66: q^2+2q+1
      67: q+1
      68: q+1
      69: 3q^2+4q+1
      70: q^2+2q+1
      71: 3q^2+4q+1
      72: q+1
      73: q^2+2q+1
      74: q+1
      75: 2q^2+4q+1
      76: 2q^2+4q+1
      77: q^3+4q^2+4q+1
      78: q^2+2q+1
      79: 3q+1
      80: 3q+1
      81: 3q+1
      82: q+1
      83: 3q+1
      84: q+1
      85: q+1
      86: q+1
      87: q^2+2q+1
      88: q^2+2q+1
      89: q^2+2q+1
      90: q^2+2q+1
      91: q+1
      92: q+1
      93: 2q^2+4q+1
      94: q^2+2q+1
      95: 2q^2+4q+1
      96: q^2+2q+1
      97: 2q^2+4q+1
      98: q+1
      99: q+1
     100: 3q+1
     101: 3q+1
     102: 3q+1
     104: 3q+1
     106: q+1
     108: q^2+2q+1
     109: q^2+2q+1
     110: q+1
     111: q+1
     112: q+1
     113: q+1
     114: q^2+3q+1
     115: q+1
     116: q^2+3q+1
     117: q+1
     118: 3q^2+4q+1
     119: q^2+2q+1
     120: 3q^2+4q+1
     121: q+1
     122: q^2+2q+1
     123: q+1
     124: 3q+1
     125: q+1
     126: 3q+1
     127: 1
     128: q+1
     129: 1
     130: q+1
     132: 3q+1
     134: q+1
     135: q+1
     136: q+1
     137: q+1
     138: q+1
     139: q+1
     140: q+1
     141: q+1
     142: q^2+2q+1
     143: q^2+2q+1
     144: q^2+3q+1
     145: 2q^2+4q+1
     146: q^2+2q+1
     147: q^2+2q+1
     148: q+1
     149: q+1
     150: 2q+1
     152: 1
     154: 1
     156: 1
     157: 1
     158: q+1
     159: q+1
     160: 2q+1
     161: q^2+3q+1
     162: q+1
     163: q^2+3q+1
     164: q+1
     165: q^2+2q+1
     166: q+1
     167: q^2+2q+1
     168: q+1
     169: q+1
     170: q+1
     171: 3q+1
     172: q+1
     173: 3q+1
     174: 1
     175: q+1
     176: 1
     177: 3q+1
     178: q+1
     179: 3q+1
     180: 1
     181: q+1
     182: 1
     183: 1
     185: 1
     187: q+1
     189: q+1
     190: q+1
     191: q+1
     192: q+1
     193: q+1
     194: q^2+3q+1
     195: q+1
     196: q+1
     197: q+1
     198: q+1
     199: q+1
     200: q^2+2q+1
     201: q+1
     202: q+1
     203: 1
     204: 1
     205: 2q+1
     207: 1
     209: 1
     211: 2q+1
     213: 1
     215: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: q+1
     222: q+1
     223: 2q+1
     224: q+1
     225: 2q+1
     230: 3q+1
     231: q+1
     232: 3q+1
     233: 1
     234: q+1
     235: 1
     236: q+1
     237: 1
     238: q+1
     239: 1
     240: 1
     241: 1
     242: 1
     244: 1
     246: 1
     248: 1
     250: 1
     252: q+1
     258: q+1
     260: q+1
     261: q+1
     262: q+1
     263: q+1
     264: 1
     265: 1
     266: 1
     267: 1
     268: 2q+1
     270: 1
     272: 1
     274: q+1
     275: q+1
     282: 1
     283: 1
     284: 1
     285: 1
     286: 1
     287: 1
     288: 1
     289: q+1
     290: q+1
     293: 2q+1
     294: 2
     295: 2
     296: 2
     298: 2
     300: q+1
     301: 1
     302: q+1
     303: 1
     304: 1
     305: 1
     306: 1
     308: 1
     310: 1
     316: 1
     320: q+1
     327: 2
     329: 2
     333: q+1
     335: 2
     336: 2
     337: 1
     338: 1
     345: 1
     346: 1
     347: 1
     348: 1
     349: 1
     350: 2
     351: 1
     352: 1
     353: 1
     354: 1
     358: q+1
     361: 1
     362: 1
     363: 1
     365: 1
     369: 2
     371: 1
     379: 1
     380: 1
     404: 1
     405: 1
     406: 1
     407: 1
     408: 1
     409: 1
     410: 2
     411: 1
     412: 1
     420: 1
     421: 1
     422: 1
     424: 1
     434: 1
     435: 1
     462: 1
     463: 1
     466: 1
     468: 1
     469: 1
     514: 1

515:   0: 2q+1
       1: 2q+1
       2: q^2+q+1
       3: 2q+1
       4: 2q+1
       5: 2q+1
       6: 2q+1
       7: 2q+1
       8: q^2+q+1
       9: 2q+1
      10: 2q+1
      11: 2q+1
      12: q^2+q+1
      13: 2q+1
      14: q^2+q+1
      15: 2q+1
      16: q^2+q+1
      17: q^2+q+1
      18: q^2+q+1
      19: q^2+q+1
      20: 2q+1
      21: 2q+1
      22: 2q+1
      23: q^2+q+1
      24: 2q+1
      25: q^2+q+1
      26: 2q+1
      27: 2q+1
      28: 2q+1
      29: 2q+1
      30: q^2+q+1
      31: q^2+q+1
      32: q+1
      33: q+1
      34: q+1
      35: q+1
      36: q+1
      37: q+1
      38: 2q+1
      39: 2q+1
      40: 2q+1
      41: 2q+1
      42: 2q+1
      43: 2q+1
      44: 2q+1
      45: 2q+1
      46: q^2+q+1
      47: 2q+1
      48: q+1
      49: q+1
      50: 2q+1
      51: 2q+1
      52: 2q+1
      53: 2q+1
      54: 2q+1
      55: 2q+1
      56: q+1
      57: 2q+1
      58: 2q+1
      59: 2q+1
      60: 2q+1
      61: q^2+q+1
      62: q^2+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: q+1
      73: q+1
      74: q+1
      75: 2q+1
      76: 2q+1
      77: q^2+q+1
      78: 2q+1
      79: q+1
      80: q+1
      81: q+1
      82: q+1
      83: q+1
      84: q+1
      85: q+1
      86: q+1
      87: 1
      88: 1
      89: 2q+1
      90: 2q+1
      91: q+1
      92: q+1
      93: q+1
      94: 2q+1
      95: 2q+1
      96: 2q+1
      97: q+1
      98: q+1
      99: q+1
     100: q+1
     101: q+1
     102: q+1
     104: q+1
     106: q+1
     108: q+1
     109: q+1
     110: q+1
     111: q+1
     112: q+1
     113: q+1
     114: q+2
     115: q+2
     116: q+2
     117: q+2
     118: q+1
     119: q+1
     120: q+1
     121: q+1
     122: q+1
     123: q+1
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: q+1
     132: q+1
     134: q+1
     135: q+1
     136: 1
     137: 1
     138: 2
     139: q+2
     140: q+1
     141: q+1
     142: 1
     143: 1
     144: q+2
     145: q+1
     146: 2q+1
     147: q+1
     148: 1
     149: 1
     150: 1
     151: 1
     152: 1
     153: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: q+1
     159: q+1
     160: 1
     161: q+2
     162: q+2
     163: q+2
     164: q+2
     165: q+1
     166: q+1
     167: q+1
     168: q+1
     169: q+1
     170: q+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
     187: q+1
     189: q+2
     190: 2
     191: 1
     192: 1
     193: 2
     194: q+2
     195: q+1
     196: q+1
     197: 1
     198: 1
     199: 2
     200: q+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: 1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     223: 1
     224: 2
     225: 1
     226: q+2
     227: q+2
     228: q+2
     229: q+2
     230: 1
     231: 1
     232: 1
     233: 1
     234: 1
     235: 1
     236: 1
     237: 1
     238: 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
     254: 1
     256: q+2
     257: 2
     258: 2
     259: q+2
     260: 1
     261: 1
     262: 2
     263: 2
     264: 1
     265: 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: 1
     281: 1
     282: 1
     283: 1
     284: 1
     285: 1
     286: 1
     287: 1
     288: 1
     289: 2
     290: 1
     293: 1
     300: 1
     301: 1
     302: 1
     303: 1
     304: 1
     305: 1
     306: 1
     307: 1
     308: 1
     309: 1
     310: 1
     311: 1
     312: 1
     313: 1
     314: 1
     315: 1
     316: 1
     317: 1
     320: 1
     322: 1
     324: 2
     333: 2
     334: 2
     337: 1
     338: 1
     339: 1
     340: 1
     341: 1
     342: 1
     343: 1
     344: 1
     345: 1
     346: 1
     347: 1
     348: 1
     349: 1
     351: 1
     352: 1
     353: 1
     354: 1
     355: 2
     358: 1
     371: 1
     372: 1
     373: 1
     374: 1
     375: 1
     376: 1
     377: 1
     378: 1
     387: 1
     389: 1
     401: 2
     406: 1
     407: 1
     408: 1
     409: 1
     412: 1
     413: 1
     432: 1
     433: 1
     466: 1
     467: 1
     470: 1
     515: 1

516:   0: 2q+1
       1: q+1
       2: q^2+2q+1
       3: 2q+1
       4: 2q+1
       5: 1
       6: q+1
       7: q+1
       8: q^2+2q+1
       9: 2q+1
      10: 1
      11: 1
      12: q^4+q+1
      13: q+1
      14: 2q^4+1
      15: 1
      16: 1
      17: q^4+1
      18: q^4+1
      20: 1
      21: 1
      22: 1
      23: q^4+1
      24: 1
      25: 1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      30: q^4+1
      32: 2q+1
      33: 2q+1
      34: q+1
      35: 1
      36: 1
      37: 1
      38: 2q+1
      39: q+1
      40: 2q+1
      41: 1
      42: q+1
      43: 1
      44: 2q+1
      45: q+1
      46: q^2+2q+1
      47: 1
      48: 1
      49: 1
      50: 1
      51: 1
      52: q+1
      53: q+1
      54: 1
      55: q+1
      56: 2q+1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      63: q+1
      64: q+1
      65: q+1
      66: 1
      67: 1
      69: 2q+1
      70: q+1
      71: 2q+1
      72: 1
      73: 1
      74: 1
      75: 2q+1
      76: q+1
      77: q^2+2q+1
      78: 1
      79: 2q+1
      80: q+1
      81: 2q+1
      82: 1
      83: q+1
      84: 1
      85: 1
      87: q+1
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 2q+1
      94: 1
      95: q+1
      96: 1
      97: q+1
      98: 1
      99: 1
     100: q+1
     101: q+1
     102: 2q+1
     104: q+1
     106: 1
     108: 1
     109: 1
     110: 1
     111: 1
     112: 1
     114: q+1
     115: 1
     116: q+1
     117: q^2+1
     118: q+1
     119: q+1
     120: q+1
     121: 1
     122: 1
     124: 2q+1
     125: q+1
     126: 2q+1
     127: 1
     128: 1
     129: 1
     130: 1
     132: q+1
     134: 1
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     142: q+1
     143: 1
     144: q+1
     145: q+1
     146: 1
     147: 1
     148: q+1
     149: 1
     150: q+1
     152: 1
     154: 1
     155: q^2
     156: 1
     157: 1
     158: 1
     159: 1
     160: 2q+1
     165: 1
     166: 1
     167: 1
     168: 1
     169: 1
     171: 2q+1
     172: q+1
     173: 2q+1
     174: 1
     175: 1
     176: 1
     177: q+1
     178: q+1
     179: q+1
     180: 1
     181: 1
     183: 1
     185: 1
     187: 1
     191: 1
     193: 1
     195: 1
     197: 1
     198: 1
     199: 1
     200: 1
     201: q+1
     202: 1
     203: 1
     204: 1
     205: q+1
     207: 1
     209: 1
     210: q^2
     217: 1
     218: 1
     219: 1
     221: q+1
     222: 1
     223: q+1
     224: q+1
     225: 2q+1
     230: q+1
     231: q+1
     232: q+1
     233: 1
     234: 1
     236: 1
     237: 1
     238: 1
     239: 1
     240: 1
     242: 1
     244: 1
     250: 1
     252: q+1
     260: 1
     263: 1
     264: 1
     265: 1
     266: 1
     274: q+1
     275: 1
     282: 1
     284: 1
     286: 1
     287: 1
     288: 1
     290: 1
     291: q+1
     292: 1
     293: q+1
     294: 1
     295: 1
     296: 1
     297: 1
     298: 1
     300: 1
     301: 1
     302: 1
     303: 1
     304: 1
     308: 1
     318: 1
     325: 1
     335: 1
     336: 1
     337: 1
     345: 1
     347: 1
     348: 1
     349: 1
     350: 1
     351: 1
     354: 1
     356: 1
     357: 1
     358: 1
     359: q+1
     360: 1
     385: 1
     391: 1
     402: 1
     406: 1
     408: 1
     410: 1
     414: 1
     416: 1
     417: 1
     418: 1
     419: 1
     448: 1
     452: 1
     471: 1
     475: 1
     516: 1

517:   0: 2q+1
       1: q+1
       2: q^2+2q+1
       3: 2q+1
       4: 2q+1
       5: 1
       6: q+1
       7: q+1
       8: q^2+2q+1
       9: 2q+1
      10: 1
      11: 1
      12: 1
      13: q+1
      14: q^4+1
      15: 1
      16: q^4+q+1
      18: 2q^4+1
      19: q^4+1
      20: 1
      21: 1
      22: 1
      23: 1
      24: 1
      25: q^4+1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      31: q^4+1
      32: 2q+1
      33: 2q+1
      34: 1
      35: 1
      36: q+1
      37: 1
      38: 2q+1
      39: q+1
      40: 2q+1
      41: 1
      42: q+1
      43: 1
      44: 2q+1
      45: q+1
      46: q^2+2q+1
      47: 1
      48: 1
      49: 1
      50: 1
      51: 1
      52: q+1
      53: q+1
      54: 1
      55: q+1
      56: 2q+1
      57: 1
      58: 1
      59: 1
      60: 1
      62: 1
      63: q+1
      64: q+1
      65: 1
      66: q+1
      68: 1
      69: 2q+1
      70: 1
      71: 2q+1
      72: 1
      73: q+1
      74: 1
      75: 2q+1
      76: q+1
      77: q^2+2q+1
      78: 1
      79: 2q+1
      80: q+1
      81: 2q+1
      82: 1
      83: q+1
      84: 1
      86: 1
      87: 1
      88: q+1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 2q+1
      94: 1
      95: q+1
      96: 1
      97: q+1
      98: 1
      99: 1
     100: q+1
     101: q+1
     102: 2q+1
     104: q+1
     106: 1
     108: 1
     109: 1
     110: 1
     112: 1
     113: 1
     114: q+1
     115: 1
     116: q+1
     117: q^2+1
     118: q+1
     119: 1
     120: q+1
     122: q+1
     123: 1
     124: 2q+1
     125: 1
     126: 2q+1
     127: 1
     128: q+1
     129: 1
     130: 1
     132: q+1
     135: 1
     136: 1
     137: 1
     138: 1
     139: 1
     141: 1
     142: 1
     143: q+1
     144: q+1
     145: q+1
     146: 1
     147: 1
     148: 1
     149: q+1
     150: q+1
     152: 1
     154: 1
     155: q^2
     156: 1
     157: 1
     158: 1
     159: 1
     160: 2q+1
     165: 1
     166: 1
     167: 1
     169: 1
     170: 1
     171: 2q+1
     172: 1
     173: 2q+1
     174: 1
     175: q+1
     176: 1
     177: q+1
     178: 1
     179: q+1
     181: q+1
     182: 1
     183: 1
     185: 1
     187: 1
     192: 1
     193: 1
     196: 1
     197: 1
     198: 1
     199: 1
     200: 1
     201: 1
     202: q+1
     203: 1
     204: 1
     205: q+1
     207: 1
     209: 1
     210: q^2
     217: 1
     218: 1
     220: 1
     221: 1
     222: q+1
     223: q+1
     224: q+1
     225: 2q+1
     230: q+1
     231: 1
     232: q+1
     234: q+1
     235: 1
     236: 1
     237: 1
     238: 1
     240: 1
     241: 1
     242: 1
     244: 1
     250: 1
     252: q+1
     261: 1
     263: 1
     264: 1
     265: 1
     267: 1
     274: 1
     275: q+1
     283: 1
     285: 1
     286: 1
     287: 1
     288: 1
     290: 1
     291: 1
     292: q+1
     293: q+1
     294: 1
     295: 1
     296: 1
     298: 1
     299: 1
     300: 1
     301: 1
     302: 1
     304: 1
     305: 1
     308: 1
     318: 1
     326: 1
     335: 1
     336: 1
     338: 1
     346: 1
     347: 1
     348: 1
     349: 1
     350: 1
     352: 1
     354: 1
     356: 1
     357: 1
     358: 1
     359: 1
     360: q+1
     385: 1
     391: 1
     403: 1
     407: 1
     408: 1
     410: 1
     415: 1
     416: 1
     417: 1
     418: 1
     419: 1
     448: 1
     452: 1
     472: 1
     476: 1
     517: 1

518:   0: 2q+1
       1: q+1
       2: 2q+1
       3: q+1
       4: 2q+1
       5: q+1
       6: q^3+q+1
       7: q+1
       8: 2q+1
       9: q+1
      10: q^3+q+1
      11: q+1
      12: q^3+q+1
      13: 1
      14: q^3+q+1
      15: 1
      16: 1
      17: q^4+q^3+q+1
      18: 1
      20: q+1
      21: q^3+q+1
      22: q+1
      23: q^3+q+1
      24: 1
      25: 1
      26: q+1
      27: q+1
      28: q+1
      29: 1
      30: q^3+q+1
      32: 2q+1
      33: 2q+1
      34: q^3+q+1
      35: q^3+q+1
      36: 1
      37: 1
      38: q+1
      39: q+1
      40: q+1
      41: q+1
      42: 1
      43: 1
      44: 2q+1
      45: q+1
      46: 2q+1
      47: q+1
      48: q^3+q+1
      49: 1
      50: q+1
      51: 1
      52: q+1
      53: 1
      54: q+1
      55: q+1
      56: 2q+1
      57: q+1
      58: q+1
      59: q+1
      60: 1
      61: q^3+q+1
      63: q+1
      64: q+1
      65: q+1
      66: 1
      67: q^3+q+1
      69: q+1
      70: q+1
      71: q+1
      72: q+1
      73: 1
      74: 1
      75: 1
      76: 1
      77: q+1
      78: 1
      79: q+1
      80: q+1
      81: q+1
      82: q+1
      83: 1
      84: 1
      85: q+1
      87: q+1
      88: 1
      89: q+1
      90: 1
      91: q+1
      92: 1
      93: 1
      94: 1
      95: 1
      96: q+1
      97: q+1
      98: q+1
      99: 1
     100: q+1
     101: 1
     102: 1
     104: 1
     106: 1
     108: q+1
     109: q+1
     110: q+1
     111: q^3+q+1
     112: 1
     114: 1
     115: 1
     116: q+1
     117: 1
     118: q+1
     119: q+1
     120: 1
     121: q+1
     122: 1
     124: q+1
     125: q+1
     126: q+1
     127: q+1
     128: 1
     129: 1
     130: 1
     132: 1
     134: q+1
     136: q+1
     137: 1
     138: 1
     139: 1
     140: q+1
     142: q+1
     143: 1
     144: 1
     145: 1
     146: 1
     147: q+1
     148: q+1
     149: 1
     150: 1
     152: 1
     154: 1
     156: q+1
     157: 1
     158: q+1
     159: 1
     160: 1
     165: q+1
     166: q+1
     167: 1
     168: q+1
     169: 1
     171: 2
     172: 1
     173: 2
     174: 1
     175: 1
     176: 1
     177: q+1
     178: q+1
     179: 1
     180: q+1
     181: 1
     183: 1
     185: 1
     187: 1
     191: q+1
     193: 1
     195: q+1
     197: q+1
     198: 1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 2
     207: 1
     209: 1
     217: q+1
     218: 1
     219: q+1
     221: q+1
     222: 1
     223: 1
     224: 1
     225: 2
     230: 1
     231: 1
     232: 1
     233: 1
     236: q+1
     237: q+1
     238: 1
     239: q+1
     240: 1
     242: 1
     244: 1
     250: 1
     252: 1
     253: 1
     260: q+1
     263: 1
     264: 1
     265: 1
     266: 1
     274: 1
     282: q+1
     284: q+1
     286: q+1
     287: 1
     288: 1
     290: 1
     291: 1
     292: 1
     293: 1
     294: 1
     295: 1
     296: 1
     297: 1
     300: 1
     301: 1
     302: 1
     303: 1
     308: 1
     318: 1
     325: 1
     335: 1
     337: 1
     345: 1
     347: 1
     350: 1
     351: q+1
     354: 1
     356: 1
     357: 1
     358: 1
     359: 1
     361: 1
     362: 1
     363: 1
     364: 1
     385: 1
     399: 1
     402: 1
     404: 1
     406: 1
     411: 1
     414: 1
     416: 1
     418: 1
     464: 1
     471: 1
     473: 1
     475: 1
     518: 1

519:   0: 2q+1
       1: q+1
       2: 2q+1
       3: q+1
       4: 2q+1
       5: q+1
       6: 1
       7: q+1
       8: 2q+1
       9: q+1
      10: 1
      11: q+1
      12: 1
      13: q^3+q+1
      14: 1
      15: q^3+q+1
      16: q^3+q+1
      18: q^3+q+1
      19: q^4+q^3+q+1
      20: q+1
      21: 1
      22: q+1
      23: 1
      24: q^3+q+1
      25: q^3+q+1
      26: q+1
      27: 1
      28: q+1
      29: q+1
      31: q^3+q+1
      32: 2q+1
      33: 2q+1
      34: 1
      35: 1
      36: q^3+q+1
      37: q^3+q+1
      38: q+1
      39: 1
      40: q+1
      41: 1
      42: q+1
      43: q+1
      44: 2q+1
      45: q+1
      46: 2q+1
      47: q+1
      48: 1
      49: q^3+q+1
      50: 1
      51: q+1
      52: 1
      53: q+1
      54: q+1
      55: q+1
      56: 2q+1
      57: q+1
      58: 1
      59: q+1
      60: q+1
      62: q^3+q+1
      63: q+1
      64: q+1
      65: 1
      66: q+1
      68: q^3+q+1
      69: q+1
      70: 1
      71: q+1
      72: 1
      73: q+1
      74: q+1
      75: 1
      76: 1
      77: q+1
      78: 1
      79: q+1
      80: 1
      81: q+1
      82: 1
      83: q+1
      84: q+1
      86: q+1
      87: 1
      88: q+1
      89: 1
      90: q+1
      91: 1
      92: q+1
      93: 1
      94: 1
      95: 1
      96: q+1
      97: q+1
      98: 1
      99: q+1
     100: 1
     101: q+1
     102: 1
     104: 1
     106: 1
     108: q+1
     109: q+1
     110: 1
     112: q+1
     113: q^3+q+1
     114: 1
     115: 1
     116: q+1
     117: 1
     118: 1
     119: 1
     120: q+1
     122: q+1
     123: q+1
     124: q+1
     125: 1
     126: q+1
     127: 1
     128: q+1
     129: q+1
     130: 1
     132: 1
     135: q+1
     136: 1
     137: q+1
     138: 1
     139: 1
     141: q+1
     142: 1
     143: q+1
     144: 1
     145: 1
     146: 1
     147: q+1
     148: 1
     149: q+1
     150: 1
     152: 1
     154: 1
     156: 1
     157: q+1
     158: 1
     159: q+1
     160: 1
     165: 1
     166: 1
     167: q+1
     169: q+1
     170: q+1
     171: 2
     172: 1
     173: 2
     174: 1
     175: 1
     176: 1
     177: 1
     178: 1
     179: q+1
     181: q+1
     182: q+1
     183: 1
     185: 1
     187: 1
     192: q+1
     193: 1
     196: q+1
     197: 1
     198: q+1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 2
     207: 1
     209: 1
     217: 1
     218: q+1
     220: q+1
     221: 1
     222: q+1
     223: 1
     224: 1
     225: 2
     230: 1
     232: 1
     234: 1
     235: 1
     236: 1
     237: 1
     238: q+1
     240: q+1
     241: q+1
     242: 1
     244: 1
     250: 1
     252: 1
     253: 1
     261: q+1
     263: 1
     264: 1
     265: 1
     267: 1
     275: 1
     283: q+1
     285: q+1
     286: 1
     287: q+1
     288: 1
     290: 1
     291: 1
     292: 1
     293: 1
     294: 1
     296: 1
     298: 1
     299: 1
     300: 1
     302: 1
     304: 1
     305: 1
     308: 1
     318: 1
     326: 1
     336: 1
     338: 1
     346: 1
     348: 1
     350: 1
     352: q+1
     354: 1
     356: 1
     357: 1
     358: 1
     360: 1
     361: 1
     363: 1
     365: 1
     366: 1
     385: 1
     400: 1
     403: 1
     405: 1
     407: 1
     411: 1
     415: 1
     417: 1
     419: 1
     465: 1
     472: 1
     474: 1
     476: 1
     519: 1

520:   0: 3q^2+4q+1
       1: 3q^2+4q+1
       2: 2q^3+5q^2+4q+1
       3: q^3+2q^2+3q+1
       4: 3q^2+4q+1
       5: q^2+2q+1
       6: q^3+2q^2+3q+1
       7: 3q^2+4q+1
       8: 2q^3+5q^2+4q+1
       9: q^2+3q+1
      10: q^4+q^3+q^2+2q+1
      11: q^2+2q+1
      12: q^4+q^3+q^2+2q+1
      13: q^2+3q+1
      14: q^3+q+1
      15: q+1
      16: q+1
      17: q^3+q+1
      18: 1
      19: 1
      20: q^2+2q+1
      21: q^3+q^2+2q+1
      22: q^2+2q+1
      23: q^3+q+1
      24: q+1
      25: 1
      26: 3q^2+4q+1
      27: q^3+2q^2+3q+1
      28: 3q^2+4q+1
      29: q^2+3q+1
      30: q^3+q+1
      31: 1
      32: 3q^2+4q+1
      33: 3q^2+4q+1
      34: q^3+q^2+2q+1
      35: q^3+q+1
      36: q+1
      37: 1
      38: 2q^2+3q+1
      39: 2q^2+3q+1
      40: q^2+3q+1
      41: q^2+2q+1
      42: q^2+3q+1
      43: q+1
      44: 3q^2+4q+1
      45: 3q^2+4q+1
      46: 2q^3+5q^2+4q+1
      47: q^2+2q+1
      48: q^3+q+1
      49: 1
      50: q^2+2q+1
      51: q+1
      52: 2q^2+3q+1
      53: q^2+3q+1
      54: q^2+2q+1
      55: 3q^2+4q+1
      56: 3q^2+4q+1
      57: q^2+2q+1
      58: q^3+q^2+2q+1
      59: q^2+2q+1
      60: q+1
      61: q^3+q+1
      62: 1
      63: 3q^2+4q+1
      64: 3q^2+4q+1
      65: q^3+q^2+2q+1
      66: q+1
      67: q^3+q+1
      68: 1
      69: 2q^2+3q+1
      70: q^2+2q+1
      71: q^2+3q+1
      72: q+1
      73: q+1
      74: 1
      75: 2q+1
      76: 2q+1
      77: q^3+3q^2+3q+1
      78: q+1
      79: 2q^2+3q+1
      80: 2q^2+3q+1
      81: q^2+3q+1
      82: q^2+2q+1
      83: q^2+3q+1
      84: q+1
      85: q^3+q+1
      86: 1
      87: q^2+2q+1
      88: q+1
      89: q^2+2q+1
      90: q+1
      91: q+1
      92: 1
      93: 2q+1
      94: q+1
      95: 2q+1
      96: q^2+2q+1
      97: 3q^2+4q+1
      98: q^2+2q+1
      99: q+1
     100: 2q^2+3q+1
     101: q^2+3q+1
     102: 2q+1
     104: 2q+1
     106: q+1
     108: q^2+2q+1
     109: q^2+2q+1
     110: q+1
     111: q+1
     112: 1
     113: 1
     114: q+1
     115: 1
     116: q^2+2q+1
     117: 1
     118: 2q^2+3q+1
     119: q^2+2q+1
     120: q^2+3q+1
     121: q+1
     122: q+1
     123: 1
     124: 2q^2+3q+1
     125: q^2+2q+1
     126: q^2+3q+1
     127: q+1
     128: q+1
     129: 1
     130: q+1
     132: 2q+1
     134: q+1
     135: 1
     136: q+1
     137: 1
     138: 1
     139: 1
     140: q+1
     141: 1
     142: q^2+2q+1
     143: q+1
     144: q+1
     145: 2q+1
     146: q+1
     147: q^2+2q+1
     148: q^2+2q+1
     149: q+1
     150: q+1
     152: 1
     154: 1
     156: q+1
     157: 1
     158: q^2+2q+1
     159: q+1
     160: 2q+1
     161: q+1
     162: 1
     163: q^2+2q+1
     164: 1
     165: q^2+2q+1
     166: q+1
     167: q+1
     168: q+1
     169: 1
     170: 1
     171: 3q+2
     172: q+1
     173: 3q+2
     174: 1
     175: 1
     176: 1
     177: 2q^2+3q+1
     178: q^2+2q+1
     179: q^2+3q+1
     180: q+1
     181: q+1
     182: 1
     183: 1
     185: 1
     187: q+1
     189: 1
     190: 1
     191: q+1
     192: 1
     193: 1
     194: q+1
     195: q+1
     196: 1
     197: q+1
     198: 1
     199: 1
     200: q+1
     201: q+1
     202: 1
     203: 1
     204: 1
     205: 2q+2
     207: 1
     209: 1
     211: q+1
     213: 1
     215: 1
     217: q+1
     218: 1
     219: q+1
     220: 1
     221: q^2+2q+1
     222: q+1
     223: 2q+1
     224: q+1
     225: 3q+2
     230: 3q+2
     231: q+1
     232: 3q+2
     233: 1
     234: 1
     235: 1
     236: q^2+2q+1
     237: q+1
     238: q+1
     239: q+1
     240: 1
     241: 1
     242: 1
     244: 1
     246: 1
     248: 1
     250: 1
     252: q+1
     253: q+1
     258: 1
     260: q+1
     261: 1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     267: 1
     268: 2q+2
     270: 1
     272: 1
     274: q+1
     275: 1
     282: q+1
     283: 1
     284: q+1
     285: 1
     286: q+1
     287: 1
     288: 1
     289: q+1
     290: q+1
     291: q+1
     292: 1
     293: 3q+2
     294: 2
     295: 1
     296: 2
     298: 1
     300: q+1
     301: 1
     302: q+1
     303: 1
     306: 1
     308: 1
     310: 1
     316: 1
     318: 1
     320: q+1
     321: q+1
     327: 2
     329: 1
     333: 1
     335: 1
     336: 1
     337: 1
     338: 1
     345: 1
     347: 1
     350: 2
     351: q+1
     352: 1
     353: 1
     354: 1
     356: 1
     357: 1
     358: q+1
     359: q+1
     360: 1
     361: 1
     362: 1
     363: 1
     369: 1
     371: 1
     379: 1
     380: 1
     383: 1
     385: 1
     404: 1
     406: 1
     411: 1
     412: 1
     414: 1
     415: 1
     416: 1
     417: 1
     418: 1
     420: 1
     421: 1
     422: 1
     442: 1
     446: 1
     462: 1
     469: 1
     473: 1
     475: 1
     520: 1

521:   0: 3q^2+4q+1
       1: 3q^2+4q+1
       2: 2q^3+5q^2+4q+1
       3: q^2+3q+1
       4: 3q^2+4q+1
       5: q^2+2q+1
       6: q^2+3q+1
       7: 3q^2+4q+1
       8: 2q^3+5q^2+4q+1
       9: q^3+2q^2+3q+1
      10: q+1
      11: q^2+2q+1
      12: q+1
      13: q^3+2q^2+3q+1
      14: 1
      15: q^4+q^3+q^2+2q+1
      16: q^4+q^3+q^2+2q+1
      17: 1
      18: q^3+q+1
      19: q^3+q+1
      20: q^2+2q+1
      21: q+1
      22: q^2+2q+1
      23: 1
      24: q^3+q^2+2q+1
      25: q^3+q+1
      26: 3q^2+4q+1
      27: q^2+3q+1
      28: 3q^2+4q+1
      29: q^3+2q^2+3q+1
      30: 1
      31: q^3+q+1
      32: 3q^2+4q+1
      33: 3q^2+4q+1
      34: q+1
      35: 1
      36: q^3+q^2+2q+1
      37: q^3+q+1
      38: q^2+3q+1
      39: q^2+3q+1
      40: 2q^2+3q+1
      41: q+1
      42: 2q^2+3q+1
      43: q^2+2q+1
      44: 3q^2+4q+1
      45: 3q^2+4q+1
      46: 2q^3+5q^2+4q+1
      47: q^2+2q+1
      48: 1
      49: q^3+q+1
      50: q+1
      51: q^2+2q+1
      52: q^2+3q+1
      53: 2q^2+3q+1
      54: q^2+2q+1
      55: 3q^2+4q+1
      56: 3q^2+4q+1
      57: q^2+2q+1
      58: q+1
      59: q^2+2q+1
      60: q^3+q^2+2q+1
      61: 1
      62: q^3+q+1
      63: 3q^2+4q+1
      64: 3q^2+4q+1
      65: q+1
      66: q^3+q^2+2q+1
      67: 1
      68: q^3+q+1
      69: q^2+3q+1
      70: q+1
      71: 2q^2+3q+1
      72: 1
      73: q^2+2q+1
      74: q+1
      75: 2q+1
      76: 2q+1
      77: q^3+3q^2+3q+1
      78: q+1
      79: q^2+3q+1
      80: q^2+3q+1
      81: 2q^2+3q+1
      82: q+1
      83: 2q^2+3q+1
      84: q^2+2q+1
      85: 1
      86: q^3+q+1
      87: q+1
      88: q^2+2q+1
      89: q+1
      90: q^2+2q+1
      91: 1
      92: q+1
      93: 2q+1
      94: q+1
      95: 2q+1
      96: q^2+2q+1
      97: 3q^2+4q+1
      98: q+1
      99: q^2+2q+1
     100: q^2+3q+1
     101: 2q^2+3q+1
     102: 2q+1
     104: 2q+1
     106: q+1
     108: q^2+2q+1
     109: q^2+2q+1
     110: 1
     111: 1
     112: q+1
     113: q+1
     114: q+1
     115: 1
     116: q^2+2q+1
     117: 1
     118: q^2+3q+1
     119: q+1
     120: 2q^2+3q+1
     121: 1
     122: q^2+2q+1
     123: q+1
     124: q^2+3q+1
     125: q+1
     126: 2q^2+3q+1
     127: 1
     128: q^2+2q+1
     129: q+1
     130: q+1
     132: 2q+1
     134: 1
     135: q+1
     136: 1
     137: q+1
     138: 1
     139: 1
     140: 1
     141: q+1
     142: q+1
     143: q^2+2q+1
     144: q+1
     145: 2q+1
     146: q+1
     147: q^2+2q+1
     148: q+1
     149: q^2+2q+1
     150: q+1
     152: 1
     154: 1
     156: 1
     157: q+1
     158: q+1
     159: q^2+2q+1
     160: 2q+1
     161: q+1
     162: 1
     163: q^2+2q+1
     164: 1
     165: q+1
     166: 1
     167: q^2+2q+1
     168: 1
     169: q+1
     170: q+1
     171: 3q+2
     172: 1
     173: 3q+2
     174: 1
     175: q+1
     176: 1
     177: q^2+3q+1
     178: q+1
     179: 2q^2+3q+1
     180: 1
     181: q^2+2q+1
     182: q+1
     183: 1
     185: 1
     187: q+1
     189: 1
     190: 1
     191: 1
     192: q+1
     193: 1
     194: q+1
     195: 1
     196: q+1
     197: 1
     198: q+1
     199: 1
     200: q+1
     201: 1
     202: q+1
     203: 1
     204: 1
     205: 2q+2
     207: 1
     209: 1
     211: q+1
     213: 1
     215: 1
     217: 1
     218: q+1
     219: 1
     220: q+1
     221: q+1
     222: q^2+2q+1
     223: 2q+1
     224: q+1
     225: 3q+2
     230: 3q+2
     231: 1
     232: 3q+2
     233: 1
     234: q+1
     235: 1
     236: q+1
     237: 1
     238: q^2+2q+1
     239: 1
     240: q+1
     241: q+1
     242: 1
     244: 1
     246: 1
     248: 1
     250: 1
     252: q+1
     253: q+1
     258: 1
     260: 1
     261: q+1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     267: 1
     268: 2q+2
     270: 1
     272: 1
     274: 1
     275: q+1
     282: 1
     283: q+1
     284: 1
     285: q+1
     286: 1
     287: q+1
     288: 1
     289: q+1
     290: q+1
     291: 1
     292: q+1
     293: 3q+2
     294: 2
     295: 1
     296: 2
     298: 1
     300: q+1
     302: q+1
     304: 1
     305: 1
     306: 1
     308: 1
     310: 1
     316: 1
     318: 1
     320: q+1
     321: q+1
     327: 2
     329: 1
     333: 1
     335: 1
     336: 1
     337: 1
     338: 1
     346: 1
     348: 1
     350: 2
     351: 1
     352: q+1
     353: 1
     354: 1
     356: 1
     357: 1
     358: q+1
     359: 1
     360: q+1
     361: 1
     363: 1
     365: 1
     369: 1
     371: 1
     379: 1
     380: 1
     383: 1
     385: 1
     405: 1
     407: 1
     411: 1
     412: 1
     414: 1
     415: 1
     416: 1
     417: 1
     419: 1
     420: 1
     422: 1
     424: 1
     442: 1
     446: 1
     463: 1
     469: 1
     474: 1
     476: 1
     521: 1

522:   0: q+1
       1: 1
       2: q+1
       3: q+1
       4: q+1
       5: 1
       6: 1
       7: 1
       8: q+1
       9: q+1
      10: 1
      11: 1
      12: 1
      13: 1
      14: 1
      15: 1
      16: 1
      18: 1
      20: 1
      21: 1
      22: 1
      23: 1
      24: 1
      25: 1
      26: 1
      27: 1
      28: 1
      29: 1
      32: q+1
      33: q+1
      34: 1
      35: 1
      36: 1
      37: 1
      38: q+1
      39: 1
      40: q+1
      41: 1
      42: 1
      43: 1
      44: q+1
      45: 1
      46: q+1
      47: 1
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: q+1
      57: 1
      58: 1
      59: 1
      60: 1
      63: 1
      64: 1
      65: 1
      66: 1
      69: q+1
      70: 1
      71: q+1
      72: 1
      73: 1
      74: 1
      75: q+1
      76: 1
      77: q+1
      78: 1
      79: q+1
      80: 1
      81: q+1
      82: 1
      83: 1
      84: 1
      87: 1
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: q+1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: q+1
     104: 1
     106: 1
     108: 1
     109: 1
     110: 1
     112: 1
     114: q+1
     115: 1
     116: q+1
     117: 1
     118: 1
     119: 1
     120: 1
     122: 1
     124: q+1
     125: 1
     126: q+1
     127: 1
     128: 1
     129: 1
     130: 1
     132: 1
     136: 1
     137: 1
     138: 1
     139: 1
     142: 1
     143: 1
     144: q+1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: q+1
     152: 1
     154: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: q+1
     161: 1
     162: 1
     163: 1
     165: 1
     166: 1
     167: 1
     169: 1
     171: q+1
     172: 1
     173: q+1
     174: 1
     175: 1
     176: 1
     177: 1
     178: 1
     179: 1
     181: 1
     183: 1
     185: 1
     187: 1
     190: 1
     193: 1
     194: 1
     197: 1
     198: 1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: q+1
     207: 1
     209: 1
     211: 1
     213: 1
     217: 1
     218: 1
     221: 1
     222: 1
     223: 1
     224: q+1
     225: q+1
     226: 1
     227: 1
     228: 1
     230: 1
     231: 1
     232: 1
     234: 1
     236: 1
     237: 1
     238: 1
     240: 1
     242: 1
     244: 1
     248: 1
     250: 1
     252: q+1
     257: 1
     259: 1
     262: 1
     263: 1
     264: 1
     265: 1
     268: 1
     270: 1
     274: 1
     275: 1
     276: 1
     278: 1
     286: 1
     287: 1
     288: 1
     289: 1
     290: 1
     291: 1
     292: 1
     293: 1
     294: 1
     295: 1
     296: 1
     298: 1
     300: 1
     301: 1
     302: 1
     304: 1
     306: 1
     308: 1
     314: 1
     318: 1
     320: 1
     327: 1
     329: 1
     334: 1
     335: 1
     336: 1
     339: 1
     341: 1
     347: 1
     348: 1
     349: 1
     350: 1
     353: 1
     354: 1
     355: 1
     356: 1
     357: 1
     358: 1
     359: 1
     360: 1
     361: 1
     362: 1
     363: 1
     365: 1
     369: 1
     373: 1
     379: 1
     383: 1
     385: 1
     387: 1
     391: 1
     393: 1
     395: 1
     404: 1
     405: 1
     408: 1
     409: 1
     410: 1
     411: 1
     413: 1
     416: 1
     417: 1
     418: 1
     419: 1
     430: 1
     434: 1
     438: 1
     444: 1
     446: 1
     448: 1
     450: 1
     452: 1
     467: 1
     468: 1
     473: 1
     474: 1
     477: 1
     491: 1
     503: 1
     507: 1
     509: 1
     522: 1

523:   0: 2q^2+2q
       1: 2q
       2: q^3+3q^2+2q
       3: 2q^2+2q
       4: 2q^2+2q
       5: 2q
       6: 2q
       7: 2q
       8: q^3+3q^2+2q
       9: 2q^2+2q
      10: 2q
      11: 2q
      12: q
      13: 2q
      14: q
      15: 2q
      16: q
      18: q
      20: 2q
      21: 2q
      22: 2q
      23: q
      24: 2q
      25: q
      26: 2q
      27: 2q
      28: 2q
      29: 2q
      32: 2q^2+2q
      33: 2q^2+2q
      34: q
      35: q
      36: q
      37: q
      38: 2q^2+2q
      39: 2q
      40: 2q^2+2q
      41: 2q
      42: 2q
      43: 2q
      44: 2q^2+2q
      45: 2q
      46: q^3+3q^2+2q
      47: 2q
      48: q
      49: q
      50: 2q
      51: 2q
      52: 2q
      53: 2q
      54: 2q
      55: 2q
      56: 2q^2+2q
      57: 2q
      58: 2q
      59: 2q
      60: 2q
      63: 2q
      64: 2q
      65: q
      66: q
      69: 2q^2+2q
      70: q
      71: 2q^2+2q
      72: q
      73: q
      74: q
      75: 2q^2+2q
      76: 2q
      77: q^3+3q^2+2q
      78: 2q
      79: 2q^2+2q
      80: 2q
      81: 2q^2+2q
      82: 2q
      83: 2q
      84: 2q
      87: q
      88: q
      89: 2q
      90: 2q
      91: q
      92: q
      93: 2q^2+2q
      94: 2q
      95: 2q
      96: 2q
      97: 2q
      98: 2q
      99: 2q
     100: 2q
     101: 2q
     102: 2q^2+2q
     104: 2q
     106: 2q
     108: 2q
     109: 2q
     110: q
     112: q
     114: q^2+q
     116: q^2+q
     118: 2q
     119: q
     120: 2q
     122: q
     124: 2q^2+2q
     125: q
     126: 2q^2+2q
     127: q
     128: q
     129: q
     130: 2q
     132: 2q
     136: q
     137: q
     142: q
     143: q
     144: q^2+q
     145: 2q
     146: 2q
     147: 2q
     148: q
     149: q
     150: q^2+q
     156: q
     157: q
     158: 2q
     159: 2q
     160: 2q^2+2q
     161: q
     163: q
     165: 2q
     166: q
     167: 2q
     169: q
     171: 2q^2+2q
     172: q
     173: 2q^2+2q
     174: q
     175: q
     176: q
     177: 2q
     178: q
     179: 2q
     181: q
     187: 2q
     194: q
     197: q
     198: q
     200: 2q
     201: q
     202: q
     203: q
     204: q
     205: q^2+q
     211: q
     217: q
     218: q
     221: q
     222: q
     223: 2q
     224: q^2+q
     225: 2q^2+2q
     226: q
     228: q
     230: 2q
     231: q
     232: 2q
     234: q
     236: 2q
     237: q
     238: 2q
     240: q
     252: q^2+q
     259: q
     264: q
     265: q
     268: q
     274: q
     275: q
     276: q
     286: q
     287: q
     289: q
     290: 2q
     291: q
     292: q
     293: 2q
     294: 1
     295: 1
     296: 1
     298: 1
     300: 2q
     301: q
     302: 2q
     304: q
     320: q
     327: 1
     329: 1
     335: 1
     336: 1
     339: q
     347: q
     348: q
     350: 1
     355: q
     356: q
     357: q
     358: 2q
     359: q
     360: q
     361: 1
     362: 1
     363: 1
     365: 1
     369: 1
     380: 1
     387: q
     393: 1
     395: 1
     404: 1
     405: 1
     410: 1
     411: 1
     416: 1
     417: 1
     418: q
     419: q
     430: 1
     435: 1
     439: 1
     446: 1
     452: 1
     468: 1
     473: 1
     474: 1
     478: 1
     492: 1
     503: 1
     509: 1
     523: 1

524:   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^3+q
       7: q
       8: q^3+q^2+q
       9: q^2+q
      10: q^3+q
      11: q
      12: q^3+q
      13: q^3+q
      14: q^3+q
      15: q^3+q
      16: q^3+q
      18: q^3+q
      20: q
      21: q^3+q
      22: q
      23: q^3+q
      24: q^3+q
      25: q^3+q
      26: q
      27: q
      28: q
      29: q
      32: q^3+q^2+q
      33: q^3+q^2+q
      34: q^3+q
      35: q^3+q
      36: q^3+q
      37: q^3+q
      38: q^2+q
      39: q
      40: q^2+q
      41: q
      42: q
      43: q
      44: q^3+q^2+q
      45: q
      46: q^3+q^2+q
      47: q
      48: q^3+q
      49: q^3+q
      50: q
      51: q
      52: q
      53: q
      54: q
      55: q
      56: q^3+q^2+q
      57: q
      58: q
      59: q
      60: q
      63: q
      64: q
      65: q
      66: q
      69: q^2+q
      70: q
      71: q^2+q
      72: q
      73: q
      74: q
      75: q^2+q
      76: q^2+q
      77: q^3+q^2+q
      78: q^2+q
      79: q^2+q
      80: q
      81: q^2+q
      82: q
      83: q
      84: q
      87: q
      88: q
      89: q
      90: q
      91: q
      92: q
      93: q^2+q
      94: q^2+q
      95: q
      96: q
      97: q
      98: q
      99: q
     100: q
     101: q
     102: q^2+q
     104: q
     105: q^2
     106: q
     107: q^2
     108: q
     109: q
     110: q
     112: q
     114: q^2+q
     115: q^2+q
     116: q^3+q^2+q
     117: q^2+q
     118: q
     119: q
     120: q
     122: q
     124: q^2+q
     125: q
     126: q^2+q
     127: q
     128: q
     129: q
     130: q
     131: q^2
     132: q
     136: q
     137: q
     138: q
     139: q^2+q
     142: q
     143: q
     144: q^2+q
     145: q
     146: q
     147: q
     148: q
     149: q
     150: q^2+q
     152: q
     153: q^2
     154: q
     155: q^2
     156: q
     157: q
     158: q
     159: q
     160: q^2+q
     161: 2q
     162: 2q
     163: q
     165: q
     166: q
     167: q
     169: q
     171: q^2+q
     172: q
     173: q^2+q
     174: q
     175: q
     176: q
     177: q
     178: q
     179: q
     181: q
     183: q
     185: q
     186: q^2
     187: q
     190: 2q
     193: q
     194: q
     197: q
     198: q
     199: q
     200: q
     201: q
     202: q
     203: q
     204: q
     205: q^2+q
     207: q
     209: q
     211: q
     212: q
     213: q
     214: q
     217: q
     218: q
     221: q
     222: q
     223: q
     224: q^2+q
     225: q^2+q
     226: 2q
     227: 2q
     228: q
     236: q
     237: q
     238: q
     240: q
     242: q
     244: q
     248: q
     249: q
     250: q
     252: q^2+q
     257: 2q
     259: q
     262: q
     263: q
     264: q
     265: q
     271: q
     276: q
     277: q
     278: q
     279: q
     286: q
     287: q
     288: q
     289: q
     290: q
     291: q
     292: q
     308: q
     314: q
     315: q
     318: q
     330: q
     334: q
     342: q
     353: q
     354: q
     355: q
     356: q
     357: q
     385: q
     396: q
     409: 1
     413: q
     436: 1
     450: 1
     467: 1
     479: 1
     493: 1
     507: 1
     524: 1

525:   0: q^2+q
       1: q
       2: q^2+q
       3: q^3+2q^2+q
       4: q^2+q
       5: q
       6: q^2+q
       7: q
       8: q^2+q
       9: q^3+2q^2+q
      10: q^2+q
      11: q
      12: q^2+q
      13: q^2+q
      14: q^2+q
      15: q^2+q
      16: q^2+q
      18: q^2+q
      20: q
      21: q^2+q
      22: q
      23: q^2+q
      24: q^2+q
      25: q^2+q
      26: q
      27: q^2+q
      28: q
      29: q^2+q
      32: q^2+q
      33: q^2+q
      34: q^2+q
      35: q^2+q
      36: q^2+q
      37: q^2+q
      38: q^2+q
      39: q
      40: q^2+q
      41: q
      42: q
      43: q
      44: q^2+q
      45: q
      46: q^2+q
      47: q
      48: q^2+q
      49: q^2+q
      50: q
      51: q
      52: q
      53: q
      54: q
      55: q
      56: q^2+q
      57: q
      58: q^2+q
      59: q
      60: q^2+q
      63: q
      64: q
      65: q^2+q
      66: q^2+q
      69: q^2+q
      70: q
      71: q^2+q
      72: q
      73: q
      74: q
      75: 2q^2+2q
      76: 2q
      77: q^2+q
      78: 2q
      79: q^2+q
      80: q
      81: q^2+q
      82: q
      83: q
      84: q
      87: q
      88: q
      89: q
      90: q
      91: q
      92: q
      93: q^2+q
      94: 2q
      95: 2q
      96: q
      97: q
      98: q
      99: q
     100: q
     101: q
     102: q^2+q
     103: q^2+q
     104: q
     105: q
     106: q
     107: q
     108: q
     109: q
     110: q^2+q
     112: q^2+q
     114: 2q^2+2q
     115: 2q
     116: q^2+q
     117: 2q
     118: q
     119: q
     120: q
     122: q
     124: q^2+q
     125: q
     126: q^2+q
     127: q
     128: q
     129: q
     130: q
     131: q
     132: q
     133: q
     136: q
     137: q
     138: 2q
     139: 2q
     142: q
     143: q
     144: q^2+q
     145: q
     146: 2q
     147: q
     148: q
     149: q
     150: q^2+q
     151: q^2+q
     152: q
     153: q
     154: q
     155: q
     156: q
     157: q
     158: q
     159: q
     160: q^2+q
     161: 2q
     162: 2q
     163: q
     165: q
     166: q
     167: q
     169: q
     172: q
     174: q
     175: q
     176: q
     177: q
     178: q
     179: q
     181: q
     183: q
     184: q
     185: q
     186: q
     187: q
     188: q
     190: 2q
     193: 2q
     194: q
     197: q
     198: q
     199: q
     200: q
     203: q
     204: q
     207: q
     209: q
     211: q
     212: q
     213: q
     214: q
     217: q
     218: q
     221: q
     222: q
     223: q
     224: q^2+q
     226: 2q
     227: 2q
     228: q
     231: q
     234: q
     236: q
     237: q
     238: q
     240: q
     244: q
     248: q
     249: q
     250: q
     251: q
     257: 2q
     259: q
     262: q
     263: q
     270: q
     276: q
     277: q
     278: q
     279: q
     286: q
     287: q
     288: q
     289: q
     290: q
     295: q
     298: q
     301: q
     304: q
     314: q
     315: q
     329: q
     334: q
     341: q
     349: 1
     353: q
     354: q
     355: q
     362: q
     365: q
     392: 1
     395: q
     408: 1
     409: 1
     410: 1
     413: q
     434: 1
     449: 1
     451: 1
     453: 1
     467: 1
     468: 1
     480: 1
     491: 1
     508: 1
     510: 1
     525: 1

526:   0: 2q^3+2q^2
       1: 2q^2
       2: q^4+3q^3+2q^2
       3: 2q^4+4q^3+2q^2
       4: 2q^3+2q^2
       5: 2q^2
       6: 2q^3+2q^2
       7: 2q^2
       8: q^4+3q^3+2q^2
       9: 2q^4+4q^3+2q^2
      10: 2q^3+2q^2
      11: 2q^2
      12: q^3+q^2
      13: 2q^3+2q^2
      14: q^3+q^2
      15: 2q^3+2q^2
      16: q^3+q^2
      18: q^3+q^2
      20: 2q^2
      21: 2q^3+2q^2
      22: 2q^2
      23: q^3+q^2
      24: 2q^3+2q^2
      25: q^3+q^2
      26: 2q^2
      27: 2q^3+2q^2
      28: 2q^2
      29: 2q^3+2q^2
      32: 2q^3+2q^2
      33: 2q^3+2q^2
      34: q^3+q^2
      35: q^3+q^2
      36: q^3+q^2
      37: q^3+q^2
      38: 2q^3+2q^2
      39: 2q^2
      40: 2q^3+2q^2
      41: 2q^2
      42: 2q^2
      43: 2q^2
      44: 2q^3+2q^2
      45: 2q^2
      46: q^4+3q^3+2q^2
      47: 2q^2
      48: q^3+q^2
      49: q^3+q^2
      50: 2q^2
      51: 2q^2
      52: 2q^2
      53: 2q^2
      54: 2q^2
      55: 2q^2
      56: 2q^3+2q^2
      57: 2q^2
      58: 2q^3+2q^2
      59: 2q^2
      60: 2q^3+2q^2
      63: 2q^2
      64: 2q^2
      65: q^3+q^2
      66: q^3+q^2
      69: 2q^3+2q^2
      70: q^2
      71: 2q^3+2q^2
      72: q^2
      73: q^2
      74: q^2
      75: 3q^3+3q^2
      76: 3q^2
      77: q^3+q^2
      78: 3q^2
      79: 2q^3+2q^2
      80: 2q^2
      81: 2q^3+2q^2
      82: 2q^2
      83: 2q^2
      84: 2q^2
      87: q^2
      88: q^2
      89: 2q^2
      90: 2q^2
      91: q^2
      92: q^2
      93: q^3+q^2
      94: 3q^2
      95: 3q^2
      96: 2q^2
      97: 2q^2
      98: 2q^2
      99: 2q^2
     100: 2q^2
     101: 2q^2
     102: 2q^3+2q^2
     103: q^3+q^2
     104: 2q^2
     105: q^2
     106: 2q^2
     107: q^2
     108: 2q^2
     109: 2q^2
     110: q^3+q^2
     112: q^3+q^2
     114: q^3+q^2
     118: 2q^2
     119: q^2
     120: 2q^2
     122: q^2
     124: 2q^3+2q^2
     125: q^2
     126: 2q^3+2q^2
     127: q^2
     128: q^2
     129: q^2
     130: 2q^2
     131: q^2
     132: 2q^2
     133: q^2
     136: q^2
     137: q^2
     142: q^2
     143: q^2
     145: q^2
     146: 3q^2
     147: 2q^2
     148: q^2
     149: q^2
     150: q^3+q^2
     156: q^2
     157: q^2
     158: 2q^2
     159: 2q^2
     160: q^3+q^2
     161: q^2
     165: 2q^2
     166: q^2
     167: 2q^2
     169: q^2
     172: q^2
     174: q^2
     175: q^2
     176: q^2
     177: 2q^2
     178: q^2
     179: 2q^2
     181: q^2
     187: 2q^2
     188: q^2
     197: q^2
     198: q^2
     200: q^2
     203: q^2
     204: q^2
     211: q^2
     217: q^2
     218: q^2
     221: q^2
     222: q^2
     223: q^2
     226: q^2
     231: q^2
     234: q^2
     236: 2q^2
     237: q^2
     238: 2q^2
     240: q^2
     276: q^2
     286: q^2
     287: q^2
     290: q^2
     295: q
     298: q
     301: q^2
     304: q^2
     329: q
     362: q
     365: q
     395: q
     410: 1
     435: 1
     453: 1
     468: 1
     481: 1
     492: 1
     510: 1
     526: 1

527:   1: q^2
       5: q^2
       6: q^2
       7: q^2
      10: q^2
      11: q^2
      12: q^2
      13: q^2
      14: q^2
      15: q^2
      16: q^2
      18: q^2
      20: q^2
      21: q^2
      22: q^2
      23: q^2
      24: q^2
      25: q^2
      34: q^2
      35: q^2
      36: q^2
      37: q^2
      39: q^2
      41: q^2
      42: q^2
      43: q^2
      45: q^2
      47: q^2
      48: q^2
      49: q^2
      50: q^2
      51: q^2
      54: q^2
      70: q^2
      72: q^2
      73: q^2
      74: q^2
      76: q^2
      78: q^2
      80: q^2
      82: q^2
      83: q^2
      84: q^2
      91: q^2
      92: q^2
      94: q^2
      98: q^2
      99: q^2
     104: q^2
     106: q^2
     115: q^2
     117: q^2
     125: q^2
     127: q^2
     128: q^2
     129: q^2
     130: q^2
     139: q^2
     152: q^2
     154: q^2
     156: q^2
     157: q^2
     161: 1
     162: 1
     163: 1
     172: q^2
     174: q^2
     175: q^2
     176: q^2
     185: q^2
     190: 1
     194: 1
     203: q^2
     204: q^2
     207: q^2
     209: q^2
     212: 1
     214: 1
     226: 1
     227: 1
     228: 1
     244: q^2
     249: 1
     257: 1
     259: 1
     262: 1
     269: 1
     271: 1
     277: 1
     279: 1
     289: 1
     307: 1
     315: 1
     322: 1
     328: 1
     330: 1
     334: 1
     340: 1
     342: 1
     353: 1
     355: 1
     370: 1
     374: 1
     381: 1
     384: 1
     389: 1
     394: 1
     396: 1
     409: 1
     413: 1
     431: 1
     436: 1
     440: 1
     445: 1
     447: 1
     451: 1
     467: 1
     482: 1
     493: 1
     504: 1
     508: 1
     527: 1

528:   1: q^3
       5: q^3
       6: q^3
       7: q^3
      10: q^3
      11: q^3
      13: q^3
      15: q^3
      20: q^3
      21: q^3
      22: q^3
      24: q^3
      39: q^3
      41: q^3
      42: q^3
      43: q^3
      45: q^3
      47: q^3
      50: q^3
      51: q^3
      54: q^3
      76: q^3
      78: q^3
      80: q^3
      82: q^3
      83: q^3
      84: q^3
      94: q^3
      98: q^3
      99: q^3
     104: q^3
     106: q^3
     130: q^3
     161: q
     163: q
     194: q
     212: q
     226: q
     228: q
     259: q
     269: q
     277: q
     289: q
     322: q
     328: 1
     330: 1
     340: q
     355: q
     370: 1
     382: 1
     389: q
     394: 1
     396: 1
     431: 1
     437: 1
     441: 1
     447: 1
     483: 1
     494: 1
     504: 1
     528: 1

529:   6: q^4
      10: q^4
      13: q^4
      15: q^4
      21: q^4
      24: q^4
      76: q^3
      78: q^3
      94: q^3
     105: q^3
     107: q^3
     131: q^3
     161: q^2
     212: q^2
     226: q^2
     277: q^2
     330: q
     396: q
     437: 1
     484: 1
     494: 1
     529: 1

530:   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: 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: 1
      45: 1
      46: 1
      47: 1
      48: q+1
      49: q+1
      50: q+1
      51: q+1
      52: q+1
      53: q+1
      54: 1
      55: 1
      56: 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: q+1
      73: q+1
      74: q+1
      75: 1
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: 1
      82: 1
      83: 1
      84: 1
      85: q+1
      86: q+1
      87: q+1
      88: q+1
      89: q+1
      90: q+1
      91: q+1
      92: q+1
      93: 1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     106: 1
     108: q+1
     109: q+1
     110: q+1
     111: q+1
     112: q+1
     113: q+1
     114: 1
     115: 1
     116: 1
     117: 1
     118: q+1
     119: q+1
     120: q+1
     121: q+1
     122: q+1
     123: q+1
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     132: 1
     134: q+1
     135: q+1
     136: q+1
     137: q+1
     138: 1
     139: 1
     140: q+1
     141: q+1
     142: q+1
     143: q+1
     144: 1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     152: 1
     154: 1
     156: 1
     157: 1
     158: 1
     159: 1
     161: 1
     162: 1
     163: 1
     164: 1
     165: q+1
     166: q+1
     167: q+1
     168: q+1
     169: q+1
     170: q+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
     185: 1
     187: 1
     189: 1
     190: 1
     191: q+1
     192: q+1
     193: 1
     194: 1
     195: q+1
     196: q+1
     197: q+1
     198: q+1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     207: 1
     209: 1
     211: 1
     213: 1
     215: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     226: 1
     227: 1
     228: 1
     229: 1
     230: 1
     231: 1
     232: 1
     233: 1
     234: 1
     235: 1
     236: 1
     237: 1
     238: 1
     239: 1
     240: 1
     241: 1
     242: 1
     244: 1
     246: 1
     248: 1
     250: 1
     256: 1
     257: 1
     258: 1
     259: 1
     260: q+1
     261: q+1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     267: 1
     268: 1
     270: 1
     272: 1
     274: 1
     275: 1
     276: 1
     278: 1
     280: 1
     282: 1
     283: 1
     284: 1
     285: 1
     286: 1
     287: 1
     294: 1
     295: 1
     296: 1
     297: 1
     298: 1
     299: 1
     300: 1
     301: 1
     302: 1
     303: 1
     304: 1
     305: 1
     306: 1
     308: 1
     310: 1
     312: 1
     314: 1
     316: 1
     324: 1
     325: 1
     326: 1
     327: 1
     329: 1
     331: 1
     333: 1
     334: 1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     341: 1
     343: 1
     345: 1
     346: 1
     347: 1
     348: 1
     351: 1
     352: 1
     361: 1
     362: 1
     363: 1
     364: 1
     365: 1
     366: 1
     367: 1
     369: 1
     371: 1
     373: 1
     375: 1
     377: 1
     393: 1
     395: 1
     397: 1
     399: 1
     400: 1
     401: 1
     402: 1
     403: 1
     404: 1
     405: 1
     406: 1
     407: 1
     420: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     426: 1
     428: 1
     430: 1
     432: 1
     454: 1
     456: 1
     458: 1
     460: 1
     461: 1
     462: 1
     463: 1
     464: 1
     465: 1
     485: 1
     487: 1
     489: 1
     512: 1
     513: 1
     530: 1

531:   5: q^3
      10: q^3
      11: q^3
      14: q^3
      15: q^3
      17: q^3
      18: q^3
      19: q^3
      30: q^3
      31: q^3
      35: q^3
      37: q^3
      41: q^3
      43: q^3
      47: q^3
      67: q^3
      68: q^3
      72: q^3
      74: q^3
      78: q^3
     117: q^3
     121: q^3
     123: q^3
     164: q^3
     226: 1
     227: 1
     228: 1
     229: 1
     256: 1
     257: 1
     259: 1
     277: 1
     279: 1
     281: 1
     313: 1
     315: 1
     324: 1
     334: 1
     340: 1
     342: 1
     344: 1
     374: 1
     376: 1
     378: 1
     394: 1
     396: 1
     398: 1
     401: 1
     427: 1
     431: 1
     433: 1
     455: 1
     457: 1
     459: 1
     486: 1
     488: 1
     490: 1
     531: 1

532:   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^2+2q+1
      12: q+1
      13: q^2+2q+1
      14: q+1
      15: q^2+2q+1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      20: q^2+2q+1
      21: q^2+2q+1
      22: q^2+2q+1
      23: q+1
      24: q^2+2q+1
      25: q+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+2q+1
      33: q^2+2q+1
      34: q+1
      35: q+1
      36: q+1
      37: q+1
      38: q^2+2q+1
      39: q^2+2q+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^3+2q^2+2q+1
      47: q^2+2q+1
      48: q+1
      49: q+1
      50: q^2+2q+1
      51: q^2+2q+1
      52: q^2+2q+1
      53: q^2+2q+1
      54: q^2+2q+1
      55: q^2+2q+1
      56: q^2+2q+1
      57: q^2+2q+1
      58: q^2+2q+1
      59: q^2+2q+1
      60: q^2+2q+1
      61: q+1
      62: q+1
      63: q^2+2q+1
      64: q^2+2q+1
      65: q+1
      66: q+1
      67: q+1
      68: q+1
      69: q^2+2q+1
      70: q+1
      71: q^2+2q+1
      72: q+1
      73: q+1
      74: q+1
      75: q^2+2q+1
      76: q^2+2q+1
      77: q^3+2q^2+2q+1
      78: q^2+2q+1
      79: q+1
      80: q+1
      81: q+1
      82: q+1
      83: q+1
      84: q+1
      85: q+1
      86: q+1
      87: q+1
      88: q+1
      89: q^2+2q+1
      90: q^2+2q+1
      91: q+1
      92: q+1
      93: q^2+2q+1
      94: q^2+2q+1
      95: q^2+2q+1
      96: q^2+2q+1
      97: q^2+2q+1
      98: q+1
      99: q+1
     100: q+1
     101: q+1
     102: q+1
     104: q+1
     106: q+1
     108: q^2+2q+1
     109: q^2+2q+1
     110: q+1
     111: q+1
     112: q+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^2+2q+1
     121: q+1
     122: q+1
     123: q+1
     124: q+1
     125: 1
     126: q+1
     127: 1
     128: 1
     129: 1
     130: q+1
     132: q+1
     134: q+1
     135: q+1
     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^2+2q+1
     145: q^2+2q+1
     146: q^2+2q+1
     147: q^2+2q+1
     148: 1
     149: 1
     150: q+1
     152: 1
     154: 1
     156: 1
     157: 1
     158: q+1
     159: q+1
     160: q+1
     161: q^2+2q+1
     162: q+1
     163: q^2+2q+1
     164: q+1
     165: q^2+2q+1
     166: q+1
     167: q^2+2q+1
     168: q+1
     169: q+1
     170: q+1
     171: q+1
     172: 1
     173: q+1
     174: 1
     175: 1
     176: 1
     177: q+1
     178: 1
     179: q+1
     180: 1
     181: 1
     182: 1
     183: 1
     185: 1
     187: q+1
     189: q+1
     190: q+1
     191: q+1
     192: q+1
     193: q+1
     194: q^2+2q+1
     195: q+1
     196: q+1
     197: q+1
     198: q+1
     199: q+1
     200: q^2+2q+1
     201: 1
     202: 1
     203: 1
     204: 1
     205: q+1
     207: 1
     209: 1
     211: q+1
     213: 1
     215: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     223: q+1
     224: q+1
     225: q+1
     226: q^2+2q+1
     227: q+1
     228: q^2+2q+1
     229: q+1
     230: q+1
     231: 1
     232: q+1
     233: 1
     234: 1
     235: 1
     236: q+1
     237: 1
     238: q+1
     239: 1
     240: 1
     241: 1
     242: 1
     244: 1
     246: 1
     248: 1
     250: 1
     252: q+1
     256: q+1
     257: q+1
     258: q+1
     259: q^2+2q+1
     260: q+1
     261: q+1
     262: q+1
     263: q+1
     264: 1
     265: 1
     266: 1
     267: 1
     268: q+1
     270: 1
     272: 1
     274: 1
     275: 1
     276: q+1
     278: 1
     280: 1
     282: 1
     283: 1
     284: 1
     285: 1
     286: 1
     287: 1
     288: 1
     289: q+1
     290: q+1
     293: q+1
     294: 1
     295: 1
     296: 1
     298: 1
     300: q+1
     301: 1
     302: q+1
     303: 1
     304: 1
     305: 1
     306: 1
     308: 1
     310: 1
     312: 1
     314: 1
     316: 1
     320: q+1
     324: q+1
     327: 1
     329: 1
     333: q+1
     334: q+1
     335: 1
     336: 1
     337: 1
     338: 1
     339: q+1
     341: 1
     343: 1
     345: 1
     346: 1
     347: 1
     348: 1
     349: 1
     350: 1
     351: 1
     352: 1
     353: 1
     354: 1
     355: q+1
     358: q+1
     361: 1
     362: 1
     363: 1
     365: 1
     369: 1
     371: 1
     373: 1
     375: 1
     377: 1
     379: 1
     387: q+1
     393: 1
     395: 1
     401: q+1
     404: 1
     405: 1
     406: 1
     407: 1
     408: 1
     409: 1
     410: 1
     411: 1
     412: 1
     413: 1
     420: 1
     421: 1
     422: 1
     424: 1
     430: 1
     432: 1
     434: 1
     438: 1
     454: 1
     456: 1
     462: 1
     463: 1
     466: 1
     467: 1
     468: 1
     469: 1
     470: 1
     487: 1
     491: 1
     495: 1
     514: 1
     515: 1
     532: 1

533:   0: 2q^2+2q
       1: 2q^2+2q
       2: q^3+3q^2+2q
       3: 2q^2+2q
       4: 2q^2+2q
       5: 2q^2+2q
       6: 2q^2+2q
       7: 2q^2+2q
       8: q^3+3q^2+2q
       9: 2q^2+2q
      10: 2q^2+2q
      11: 2q^2+2q
      12: q^2+q
      13: 2q^2+2q
      14: q^2+q
      15: 2q^2+2q
      16: q^2+q
      17: q^2+q
      18: q^2+q
      19: q^2+q
      20: 2q^2+2q
      21: 2q^2+2q
      22: 2q^2+2q
      23: q^2+q
      24: 2q^2+2q
      25: q^2+q
      26: 2q^2+2q
      27: 2q^2+2q
      28: 2q^2+2q
      29: 2q^2+2q
      30: q^2+q
      31: q^2+q
      32: 2q^2+2q
      33: 2q^2+2q
      34: q^2+q
      35: q^2+q
      36: q^2+q
      37: q^2+q
      38: 2q^2+2q
      39: 2q^2+2q
      40: 2q^2+2q
      41: 2q^2+2q
      42: 2q^2+2q
      43: 2q^2+2q
      44: q^2+2q
      45: q^2+2q
      46: 2q^2+2q
      47: q^2+2q
      48: q^2+q
      49: q^2+q
      50: 2q^2+2q
      51: 2q^2+2q
      52: 2q^2+2q
      53: 2q^2+2q
      54: q^2+2q
      55: q^2+2q
      56: q^2+2q
      57: 2q^2+2q
      58: 2q^2+2q
      59: 2q^2+2q
      60: 2q^2+2q
      61: q^2+q
      62: q^2+q
      63: 2q^2+2q
      64: 2q^2+2q
      65: q^2+q
      66: q^2+q
      67: q^2+q
      68: q^2+q
      69: 2q^2+2q
      70: q^2+q
      71: 2q^2+2q
      72: q^2+q
      73: q^2+q
      74: q^2+q
      75: q^2+2q
      76: q^2+2q
      77: 2q^2+2q
      78: q^2+2q
      79: 2q
      80: 2q
      81: 2q
      82: 2q
      83: 2q
      84: 2q
      85: q^2+q
      86: q^2+q
      87: q^2+q
      88: q^2+q
      89: 2q^2+2q
      90: 2q^2+2q
      91: q^2+q
      92: q^2+q
      93: q^2+2q
      94: q^2+2q
      95: q^2+2q
      96: q^2+2q
      97: q^2+2q
      98: 2q
      99: 2q
     100: 2q
     101: 2q
     102: 2q
     104: 2q
     106: 2q
     108: 2q^2+2q
     109: 2q^2+2q
     110: q^2+q
     111: q^2+q
     112: q^2+q
     113: q^2+q
     114: q
     116: q
     118: 2q^2+2q
     119: q^2+q
     120: 2q^2+2q
     121: q^2+q
     122: q^2+q
     123: q^2+q
     124: 2q
     125: q
     126: 2q
     127: q
     128: q
     129: q
     130: 2q
     132: 2q
     134: q^2+q
     135: q^2+q
     136: q^2+q
     137: q^2+q
     140: q^2+q
     141: q^2+q
     142: q^2+q
     143: q^2+q
     144: q
     145: q^2+2q
     146: q^2+2q
     147: q^2+2q
     148: q
     149: q
     150: q
     156: q
     157: q
     158: 2q
     159: 2q
     160: q
     161: q
     163: q
     165: 2q^2+2q
     166: q^2+q
     167: 2q^2+2q
     168: q^2+q
     169: q^2+q
     170: q^2+q
     171: 2q
     172: q
     173: 2q
     174: q
     175: q
     176: q
     177: 2q
     178: q
     179: 2q
     180: q
     181: q
     182: q
     187: 2q
     191: q^2+q
     192: q^2+q
     194: q
     195: q^2+q
     196: q^2+q
     197: q^2+q
     198: q^2+q
     200: q^2+2q
     201: q
     202: q
     203: q
     204: q
     205: q
     211: q
     217: q
     218: q
     219: q
     220: q
     221: q
     222: q
     223: q
     225: q
     226: q
     228: q
     230: 2q
     231: q
     232: 2q
     233: q
     234: q
     235: q
     236: 2q
     237: q
     238: 2q
     239: q
     240: q
     241: q
     259: q
     260: q^2+q
     261: q^2+q
     264: q
     265: q
     266: q
     267: q
     268: q
     274: q
     275: q
     276: q
     282: q
     283: q
     284: q
     285: q
     286: q
     287: q
     290: q
     293: q
     294: 1
     295: 1
     296: 1
     298: 1
     300: 2q
     301: q
     302: 2q
     303: q
     304: q
     305: q
     327: 1
     329: 1
     335: 1
     336: 1
     337: q
     338: q
     339: q
     345: q
     346: q
     347: q
     348: q
     350: 1
     351: q
     352: q
     358: q
     361: 1
     362: 1
     363: 1
     365: 1
     369: 1
     380: 1
     393: 1
     395: 1
     404: 1
     405: 1
     406: q
     407: q
     410: 1
     411: 1
     420: 1
     421: 1
     422: 1
     424: 1
     430: 1
     435: 1
     439: 1
     454: 1
     456: 1
     462: 1
     463: 1
     468: 1
     469: 1
     487: 1
     492: 1
     496: 1
     514: 1
     533: 1

534:   0: 3q^2+q
       1: 3q^2+q
       2: q^3+2q^2+q
       3: 3q^2+q
       4: 3q^2+q
       5: q^3+2q^2+q
       6: 3q^2+q
       7: 3q^2+q
       8: q^3+2q^2+q
       9: 3q^2+q
      10: q^3+2q^2+q
      11: q^3+2q^2+q
      12: q^3+2q^2+q
      13: 3q^2+q
      14: q^2+q
      15: q^3+2q^2+q
      16: q^3+2q^2+q
      17: q^2+q
      18: q^2+q
      19: q^2+q
      20: 2q^2+q
      21: 2q^2+q
      22: 2q^2+q
      23: q^2+q
      24: 2q^2+q
      25: q^2+q
      26: 3q^2+q
      27: 3q^2+q
      28: 3q^2+q
      29: 3q^2+q
      30: q^2+q
      31: q^2+q
      32: 2q^2+q
      33: 2q^2+q
      34: 2q^2+q
      35: q^2+q
      36: 2q^2+q
      37: q^2+q
      38: 3q^2+q
      39: 3q^2+q
      40: 3q^2+q
      41: q^3+2q^2+q
      42: 3q^2+q
      43: q^3+2q^2+q
      44: 3q^2+q
      45: 3q^2+q
      46: q^3+2q^2+q
      47: q^3+2q^2+q
      48: q^2+q
      49: q^2+q
      50: 2q^2+q
      51: 2q^2+q
      52: 3q^2+q
      53: 3q^2+q
      54: 2q^2+q
      55: 3q^2+q
      56: 2q^2+q
      57: 2q^2+q
      58: 2q^2+q
      59: 2q^2+q
      60: 2q^2+q
      61: q^2+q
      62: q^2+q
      63: 2q^2+q
      64: 2q^2+q
      65: 2q^2+q
      66: 2q^2+q
      67: q^2+q
      68: q^2+q
      69: 2q^2+q
      70: 2q^2+q
      71: 2q^2+q
      72: q^2+q
      73: 2q^2+q
      74: q^2+q
      75: 3q^2+q
      76: 3q^2+q
      77: q^3+2q^2+q
      78: q^3+2q^2+q
      79: q^2+q
      80: q^2+q
      81: q^2+q
      82: q^2+q
      83: q^2+q
      84: q^2+q
      85: q^2+q
      86: q^2+q
      87: q^2+q
      88: q^2+q
      89: 2q^2+q
      90: 2q^2+q
      91: q^2+q
      92: q^2+q
      93: 2q^2+q
      94: 2q^2+q
      95: 3q^2+q
      96: 2q^2+q
      97: 2q^2+q
      98: q^2+q
      99: q^2+q
     100: q^2+q
     101: q^2+q
     102: q^2+q
     104: q^2+q
     106: q^2+q
     108: q^2+q
     109: q^2+q
     110: q
     111: q
     112: q
     113: q
     114: 2q^2+2q
     115: 2q^2+2q
     116: 2q^2+2q
     117: q^2+q
     118: 2q^2+q
     119: 2q^2+q
     120: 2q^2+q
     121: q^2+q
     122: 2q^2+q
     123: q^2+q
     124: q
     125: q
     126: q
     127: q
     128: q
     129: q
     130: q^2+q
     132: q^2+q
     134: q
     135: q
     136: q
     137: q
     138: q^2+2q
     139: q^2+q
     140: q^2+q
     141: q^2+q
     142: q^2+q
     143: q^2+q
     144: 2q^2+2q
     145: 2q^2+q
     146: 2q^2+q
     147: q^2+q
     148: q
     149: q
     150: q
     151: q
     152: q
     153: q
     154: q
     156: q
     157: q
     158: q^2+q
     159: q^2+q
     160: q
     161: 2q^2+2q
     162: 2q^2+2q
     163: 2q^2+2q
     164: q^2+q
     165: q^2+q
     166: q
     167: q^2+q
     168: q
     169: q
     170: q
     171: q
     172: q
     173: q
     174: q
     175: q
     176: q
     177: q
     178: q
     179: q
     180: q
     181: q
     182: q
     183: q
     184: q
     185: q
     187: q^2+q
     189: q^2+q
     190: q^2+2q
     191: q
     192: q
     193: q
     194: 2q^2+2q
     195: q
     196: q
     197: q
     198: q
     199: q^2+2q
     200: q^2+q
     201: q
     202: q
     203: q
     204: q
     205: q
     206: q
     207: q
     208: q
     209: q
     211: q
     212: q
     213: q
     214: q
     215: q
     217: q
     218: q
     219: q
     220: q
     221: q
     222: q
     223: q
     224: 2q
     225: q
     226: q^2+2q+1
     227: q+1
     228: q^2+2q+1
     229: q+1
     230: q
     231: q
     232: q
     233: q
     234: q
     235: q
     242: q
     243: q
     244: q
     246: q
     248: q
     249: q
     250: q
     252: q
     254: q
     256: q+1
     257: q+1
     258: q
     259: q^2+2q+1
     260: q
     261: q
     262: q^2+2q
     263: q
     264: q
     265: q
     266: q
     267: q
     268: q
     269: q
     270: q
     271: q
     272: q
     274: q
     275: q
     277: q+1
     279: 1
     281: 1
     282: q
     283: q
     288: q
     289: 2q
     293: q
     306: q
     307: q
     308: q
     310: q
     313: 1
     315: 1
     316: q
     320: q
     322: q
     324: q+1
     333: q
     334: q+1
     337: q
     338: q
     340: q+1
     342: 1
     344: 1
     349: q
     353: q
     355: q+1
     371: q
     374: 1
     376: 1
     378: 1
     389: q+1
     394: 1
     396: 1
     401: q+1
     409: q
     413: 1
     431: 1
     433: 1
     440: 1
     455: 1
     457: 1
     467: 1
     470: 1
     488: 1
     493: 1
     497: 1
     515: 1
     534: 1

535:   5: q^4
      10: q^4
      11: q^4
      15: q^4
      41: q^4
      43: q^4
      47: q^4
      78: q^4
     226: q
     228: q
     259: q
     277: q
     340: q
     394: 1
     396: 1
     431: 1
     441: 1
     455: 1
     457: 1
     488: 1
     494: 1
     498: 1
     535: 1

536:   0: 2q+1
       1: 2q+1
       2: q^2+2q+1
       3: 2q+1
       4: 2q+1
       5: 1
       6: 2q+1
       7: 2q+1
       8: q^2+2q+1
       9: 2q+1
      10: 1
      11: 1
      12: q+1
      13: 2q+1
      14: q^4+1
      15: 1
      16: q+1
      17: q^4+1
      18: q^4+1
      19: q^4+1
      20: 1
      21: 1
      22: 1
      23: 1
      24: 1
      25: 1
      26: 2q+1
      27: 2q+1
      28: 2q+1
      29: 2q+1
      30: q^4+1
      31: q^4+1
      32: 2q+1
      33: 2q+1
      34: q+1
      35: 1
      36: q+1
      37: 1
      38: 2q+1
      39: 2q+1
      40: 2q+1
      41: 1
      42: 2q+1
      43: 1
      44: 2q+1
      45: 2q+1
      46: q^2+2q+1
      47: 1
      48: 1
      49: 1
      50: 1
      51: 1
      52: 2q+1
      53: 2q+1
      54: 1
      55: 2q+1
      56: 2q+1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: 1
      63: 2q+1
      64: 2q+1
      65: q+1
      66: q+1
      67: 1
      68: 1
      69: 2q+1
      70: q+1
      71: 2q+1
      72: 1
      73: q+1
      74: 1
      75: 2q+1
      76: 2q+1
      77: q^2+2q+1
      78: 1
      79: 2q+1
      80: 2q+1
      81: 2q+1
      82: 1
      83: 2q+1
      84: 1
      85: 1
      86: 1
      87: q+1
      88: q+1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 2q+1
      94: 1
      95: 2q+1
      96: 1
      97: 2q+1
      98: 1
      99: 1
     100: 2q+1
     101: 2q+1
     102: 2q+1
     104: 2q+1
     106: 1
     108: 1
     109: 1
     110: 1
     111: 1
     112: 1
     113: 1
     114: q+1
     115: 1
     116: q+1
     117: q^2+1
     118: 2q+1
     119: q+1
     120: 2q+1
     121: 1
     122: q+1
     123: 1
     124: 2q+1
     125: q+1
     126: 2q+1
     127: 1
     128: q+1
     129: 1
     130: 1
     132: 2q+1
     134: 1
     135: 1
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     142: q+1
     143: q+1
     144: q+1
     145: 2q+1
     146: 1
     147: 1
     148: q+1
     149: q+1
     150: q+1
     152: 1
     154: 1
     155: q^2
     156: 1
     157: 1
     158: 1
     159: 1
     160: 2q+1
     161: q+1
     162: 1
     163: q+1
     164: q^2+1
     165: 1
     166: 1
     167: 1
     168: 1
     169: 1
     170: 1
     171: 2q+1
     172: q+1
     173: 2q+1
     174: 1
     175: q+1
     176: 1
     177: 2q+1
     178: q+1
     179: 2q+1
     180: 1
     181: q+1
     182: 1
     183: 1
     185: 1
     187: 1
     189: 1
     190: 1
     191: 1
     192: 1
     193: 1
     194: q+1
     195: 1
     196: 1
     197: 1
     198: 1
     199: 1
     200: 1
     201: q+1
     202: q+1
     203: 1
     204: 1
     205: q+1
     207: 1
     209: 1
     210: q^2
     211: q+1
     213: 1
     215: 1
     216: q^2
     217: 1
     218: 1
     219: 1
     220: 1
     221: q+1
     222: q+1
     223: 2q+1
     224: q+1
     225: 2q+1
     230: 2q+1
     231: q+1
     232: 2q+1
     233: 1
     234: q+1
     235: 1
     236: 1
     237: 1
     238: 1
     239: 1
     240: 1
     241: 1
     242: 1
     244: 1
     246: 1
     248: 1
     250: 1
     252: q+1
     258: 1
     260: 1
     261: 1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     267: 1
     268: q+1
     270: 1
     272: 1
     273: q^2
     274: q+1
     275: q+1
     282: 1
     283: 1
     284: 1
     285: 1
     286: 1
     287: 1
     288: 1
     289: q+1
     290: 1
     291: q+1
     292: q+1
     293: 2q+1
     294: 2
     295: 2
     296: 2
     297: 1
     298: 2
     299: 1
     300: 1
     301: 1
     302: 1
     303: 1
     304: 1
     305: 1
     306: 1
     308: 1
     310: 1
     316: 1
     318: 1
     320: q+1
     325: 1
     326: 1
     327: 2
     329: 2
     331: 1
     333: 1
     335: 2
     336: 2
     337: 1
     338: 1
     345: 1
     346: 1
     347: 1
     348: 1
     349: 1
     350: 2
     351: 1
     352: 1
     353: 1
     354: 1
     356: 1
     357: 1
     358: 1
     359: q+1
     360: q+1
     367: 1
     369: 2
     371: 1
     379: 1
     380: 1
     383: 1
     385: 1
     391: 1
     402: 1
     403: 1
     406: 1
     407: 1
     408: 1
     409: 1
     410: 2
     412: 1
     414: 1
     415: 1
     416: 2
     417: 2
     418: 1
     419: 1
     428: 1
     434: 1
     435: 1
     442: 1
     446: 2
     448: 1
     450: 1
     452: 2
     466: 1
     471: 1
     472: 1
     475: 1
     476: 1
     477: 1
     478: 1
     499: 1
     505: 1
     516: 1
     517: 1
     536: 1

537:   1: 3q^3+q^2
       5: q^3+q^2
       6: 3q^3+q^2
       7: 3q^3+q^2
      10: q^3+q^2
      11: q^3+q^2
      12: q^3+q^2
      13: 3q^3+q^2
      14: q^2
      15: q^3+q^2
      16: q^3+q^2
      17: q^3+q^2
      18: q^2
      19: q^3+q^2
      20: q^3+q^2
      21: q^3+q^2
      22: q^3+q^2
      23: q^2
      24: q^3+q^2
      25: q^2
      30: q^2
      31: q^2
      34: q^3+q^2
      35: q^2
      36: q^3+q^2
      37: q^2
      39: 3q^3+q^2
      41: q^3+q^2
      42: 3q^3+q^2
      43: q^3+q^2
      45: 3q^3+q^2
      47: q^3+q^2
      48: q^2
      49: q^2
      50: q^3+q^2
      51: q^3+q^2
      54: q^3+q^2
      61: q^2
      62: q^2
      67: q^2
      68: q^2
      70: q^3+q^2
      72: q^2
      73: q^3+q^2
      74: q^2
      76: 3q^3+q^2
      78: q^3+q^2
      80: 3q^3+q^2
      82: q^3+q^2
      83: 3q^3+q^2
      84: q^3+q^2
      91: q^2
      92: q^2
      94: q^3+q^2
      98: q^3+q^2
      99: q^3+q^2
     104: 3q^3+q^2
     106: q^3+q^2
     111: q^2
     113: q^2
     115: q^2
     117: q^2
     121: q^2
     123: q^2
     125: q^3+q^2
     127: q^2
     128: q^3+q^2
     129: q^2
     130: q^3+q^2
     139: q^2
     152: q^2
     154: q^2
     156: q^2
     157: q^2
     161: q+1
     162: 1
     163: q+1
     164: q^2+1
     168: q^2
     170: q^2
     172: q^3+q^2
     174: q^2
     175: q^3+q^2
     176: q^2
     180: q^2
     182: q^2
     185: q^2
     189: 1
     190: 1
     194: q+1
     203: q^2
     204: q^2
     207: q^2
     209: q^2
     212: q+1
     214: 1
     215: q^2
     216: 1
     233: q^2
     235: q^2
     239: q^2
     241: q^2
     244: q^2
     247: 1
     249: 1
     258: 1
     262: 1
     269: q+1
     271: 1
     272: q^2
     273: 1
     289: q+1
     303: q^2
     305: q^2
     307: 1
     311: 1
     317: 1
     322: q+1
     328: 2
     330: 2
     332: 1
     333: 1
     353: 1
     368: 1
     370: 2
     372: 1
     381: 1
     382: 1
     384: 1
     409: 1
     412: 1
     429: 1
     436: 1
     437: 1
     443: 1
     447: 2
     451: 1
     466: 1
     482: 1
     483: 1
     500: 1
     506: 1
     537: 1

538:   0: q^3+6q^2+4q+1
       1: 3q^2+4q+1
       2: q^3+6q^2+4q+1
       3: 3q^2+4q+1
       4: q^3+6q^2+4q+1
       5: q^2+2q+1
       6: q^4+q^3+q^2+4q+1
       7: 3q^2+4q+1
       8: q^3+6q^2+4q+1
       9: 3q^2+4q+1
      10: q^3+2q+1
      11: q^2+2q+1
      12: q^4+q^3+q^2+4q+1
      13: q^4+q^3+q^2+4q+1
      14: q^3+2q+1
      15: q^3+2q+1
      16: q^4+q^3+q^2+4q+1
      17: q^4+q^3+q+1
      18: q^3+2q+1
      19: q^4+q^3+q+1
      20: q^2+2q+1
      21: q^3+2q+1
      22: q^2+2q+1
      23: q^3+2q+1
      24: q^3+2q+1
      25: q^3+2q+1
      26: 3q^2+4q+1
      27: q^2+4q+1
      28: 3q^2+4q+1
      29: q^2+4q+1
      30: q^3+q+1
      31: q^3+q+1
      32: q^3+6q^2+4q+1
      33: q^3+6q^2+4q+1
      34: q^4+q^3+q^2+4q+1
      35: q^3+2q+1
      36: q^4+q^3+q^2+4q+1
      37: q^3+2q+1
      38: 3q^2+4q+1
      39: q^2+4q+1
      40: 3q^2+4q+1
      41: 2q+1
      42: q^2+4q+1
      43: 2q+1
      44: q^3+6q^2+4q+1
      45: 3q^2+4q+1
      46: q^3+6q^2+4q+1
      47: q^2+2q+1
      48: q^3+2q+1
      49: q^3+2q+1
      50: 2q+1
      51: 2q+1
      52: q^2+4q+1
      53: q^2+4q+1
      54: q^2+2q+1
      55: 3q^2+4q+1
      56: q^3+6q^2+4q+1
      57: q^2+2q+1
      58: 2q+1
      59: q^2+2q+1
      60: 2q+1
      61: q^3+q+1
      62: q^3+q+1
      63: 3q^2+4q+1
      64: 3q^2+4q+1
      65: q^2+4q+1
      66: q^2+4q+1
      67: q^3+q+1
      68: q^3+q+1
      69: 3q^2+4q+1
      70: q^2+4q+1
      71: 3q^2+4q+1
      72: 2q+1
      73: q^2+4q+1
      74: 2q+1
      75: q^2+4q+1
      76: q^2+4q+1
      77: q^3+4q^2+4q+1
      78: q^2+2q+1
      79: 3q^2+4q+1
      80: q^2+4q+1
      81: 3q^2+4q+1
      82: 2q+1
      83: q^2+4q+1
      84: 2q+1
      85: q+1
      86: q+1
      87: q^2+4q+1
      88: q^2+4q+1
      89: 2q+1
      90: 2q+1
      91: 2q+1
      92: 2q+1
      93: q^2+4q+1
      94: q^2+2q+1
      95: 4q+1
      96: q^2+2q+1
      97: 3q^2+4q+1
      98: 2q+1
      99: 2q+1
     100: q^2+4q+1
     101: q^2+4q+1
     102: q^2+4q+1
     104: 4q+1
     105: q^2
     106: 2q+1
     107: q^2
     108: q^2+2q+1
     109: q^2+2q+1
     110: 2q+1
     111: q^3+q+1
     112: 2q+1
     113: q^3+q+1
     114: q^2+4q+1
     115: q^2+4q+1
     116: q^3+4q^2+4q+1
     117: q^2+2q+1
     118: q^2+4q+1
     119: q^2+4q+1
     120: q^2+4q+1
     121: q+1
     122: q^2+4q+1
     123: q+1
     124: 3q^2+4q+1
     125: q^2+4q+1
     126: 3q^2+4q+1
     127: 2q+1
     128: q^2+4q+1
     129: 2q+1
     130: 2q+1
     131: q^2
     132: 4q+1
     134: q+1
     135: q+1
     136: 2q+1
     137: 2q+1
     138: 4q+1
     139: q^2+2q+1
     140: q+1
     141: q+1
     142: q^2+4q+1
     143: q^2+4q+1
     144: q^2+4q+1
     145: 4q+1
     146: 2q+1
     147: q^2+2q+1
     148: q^2+4q+1
     149: q^2+4q+1
     150: q^2+4q+1
     152: 4q+1
     153: q^2
     154: 2q+1
     155: q^2
     156: 2q+1
     157: 2q+1
     158: 2q+1
     159: 2q+1
     160: q^2+4q+1
     161: 3q+1
     162: 3q+1
     163: q^2+2q+1
     164: q^2+2q+1
     165: 2q+1
     166: 2q+1
     167: 2q+1
     168: q+1
     169: 2q+1
     170: q+1
     171: q^2+6q+1
     172: 3q+1
     173: q^2+6q+1
     174: q+1
     175: 3q+1
     176: q+1
     177: q^2+4q+1
     178: q^2+4q+1
     179: q^2+4q+1
     180: q+1
     181: q^2+4q+1
     182: q+1
     183: 4q+1
     185: 2q+1
     186: q^2
     187: 2q+1
     189: 2q+1
     190: 3q+1
     191: q+1
     192: q+1
     193: 2q+1
     194: 2q+1
     195: q+1
     196: q+1
     197: 2q+1
     198: 2q+1
     199: 4q+1
     200: 2q+1
     201: 3q+1
     202: 3q+1
     203: q+1
     204: q+1
     205: q^2+6q+1
     207: 3q+1
     209: q+1
     211: 2q+1
     212: q
     213: 2q+1
     214: q
     215: q+1
     216: q^2+q
     217: 2q+1
     218: 2q+1
     219: q+1
     220: q+1
     221: q^2+4q+1
     222: q^2+4q+1
     223: 4q+1
     224: q^2+4q+1
     225: q^2+6q+1
     230: 3q+1
     231: q+1
     232: 3q+1
     233: 1
     234: q+1
     235: 1
     236: 2q+1
     237: 2q+1
     238: 2q+1
     239: q+1
     240: 2q+1
     241: q+1
     242: 3q+1
     244: q+1
     246: q+1
     247: q
     248: 2q+1
     249: q
     250: 2q+1
     252: q^2+4q+1
     253: 2q
     258: 2q+1
     260: q+1
     261: q+1
     262: 2q+1
     263: 2q+1
     264: q+1
     265: q+1
     266: 1
     267: 1
     268: q+1
     270: 1
     271: q
     272: 1
     273: q
     274: q+1
     275: q+1
     282: q+1
     283: q+1
     284: q+1
     285: q+1
     286: 2q+1
     287: 2q+1
     288: 4q+1
     289: 2q+1
     290: 2q+1
     291: 3q+1
     292: 3q+1
     293: 3q+1
     294: 3q+1
     295: q+1
     296: 3q+1
     297: 1
     298: q+1
     299: 1
     300: q+1
     301: 1
     302: q+1
     303: 1
     304: 1
     305: 1
     306: 1
     308: q+1
     310: 1
     311: q
     316: q+1
     317: q
     318: 3q+1
     320: q+1
     325: 1
     326: 1
     327: q+1
     329: 1
     330: q
     331: 1
     332: q
     333: q+1
     335: q+1
     336: q+1
     337: 1
     338: 1
     345: 1
     346: 1
     347: 1
     348: 1
     349: 1
     350: 3q+1
     351: q+1
     352: q+1
     353: 2q+1
     354: 2q+1
     356: q+1
     357: q+1
     358: q+1
     359: q+1
     360: q+1
     361: q+1
     362: 1
     363: q+1
     364: 1
     365: 1
     366: 1
     367: 1
     368: q
     369: 1
     371: 1
     379: q+1
     383: 1
     385: q+1
     391: 1
     399: 1
     400: 1
     402: 1
     403: 1
     404: 1
     405: 1
     406: 1
     407: 1
     408: 1
     409: 2
     410: 1
     411: q+1
     412: q+1
     414: 1
     415: 1
     416: q+1
     417: q+1
     418: 1
     419: 1
     428: 1
     434: 1
     436: 1
     442: 1
     446: 1
     448: 1
     450: 2
     452: 1
     464: 1
     465: 1
     466: 1
     468: 1
     471: 1
     472: 1
     473: 1
     474: 1
     475: 1
     476: 1
     477: 1
     479: 1
     499: 1
     505: 1
     509: 1
     511: 1
     518: 1
     519: 1
     538: 1

539:   0: 3q^2+q
       1: 3q^3+4q^2+q
       2: 3q^2+q
       3: 3q^3+4q^2+q
       4: 3q^2+q
       5: q^3+2q^2+q
       6: 2q^3+5q^2+q
       7: 3q^3+4q^2+q
       8: 3q^2+q
       9: 3q^3+4q^2+q
      10: 3q^2+q
      11: q^3+2q^2+q
      12: 2q^3+5q^2+q
      13: 2q^3+5q^2+q
      14: 3q^2+q
      15: 3q^2+q
      16: 2q^3+5q^2+q
      17: q^3+2q^2+q
      18: 3q^2+q
      19: q^3+2q^2+q
      20: q^3+2q^2+q
      21: 3q^2+q
      22: q^3+2q^2+q
      23: 3q^2+q
      24: 3q^2+q
      25: 3q^2+q
      26: 3q^2+q
      27: q^3+4q^2+q
      28: 3q^2+q
      29: q^3+4q^2+q
      30: 2q^2+q
      31: 2q^2+q
      32: 3q^2+q
      33: 3q^2+q
      34: 2q^3+5q^2+q
      35: 3q^2+q
      36: 2q^3+5q^2+q
      37: 3q^2+q
      38: 3q^2+q
      39: q^3+4q^2+q
      40: 3q^2+q
      41: 2q^2+q
      42: q^3+4q^2+q
      43: 2q^2+q
      44: 3q^2+q
      45: 3q^3+4q^2+q
      46: 3q^2+q
      47: q^3+2q^2+q
      48: 3q^2+q
      49: 3q^2+q
      50: 2q^2+q
      51: 2q^2+q
      52: 3q^2+q
      53: 3q^2+q
      54: q^3+2q^2+q
      55: 3q^2+q
      56: 3q^2+q
      57: q^2+q
      58: 2q^2+q
      59: q^2+q
      60: 2q^2+q
      61: 2q^2+q
      62: 2q^2+q
      63: 3q^2+q
      64: 3q^2+q
      65: q^3+4q^2+q
      66: q^3+4q^2+q
      67: 2q^2+q
      68: 2q^2+q
      69: 3q^2+q
      70: q^3+4q^2+q
      71: 3q^2+q
      72: 2q^2+q
      73: q^3+4q^2+q
      74: 2q^2+q
      75: 4q^2+2q
      76: 4q^2+2q
      77: q^2+q
      78: 2q^2+2q
      79: 3q^2+q
      80: q^3+4q^2+q
      81: 3q^2+q
      82: 2q^2+q
      83: q^3+4q^2+q
      84: 2q^2+q
      85: q^2+q
      86: q^2+q
      87: 3q^2+q
      88: 3q^2+q
      89: q^2+q
      90: q^2+q
      91: 2q^2+q
      92: 2q^2+q
      93: q^2+q
      94: 2q^2+2q
      95: 3q^2+2q
      96: q^2+q
      97: 3q^2+q
      98: 2q^2+q
      99: 2q^2+q
     100: 3q^2+q
     101: 3q^2+q
     102: 3q^2+q
     103: q^2+q
     104: 4q^2+q
     105: q
     106: 2q^2+q
     107: q
     108: q^2+q
     109: q^2+q
     110: 2q^2+q
     111: 2q^2+q
     112: 2q^2+q
     113: 2q^2+q
     114: 4q^2+2q
     115: 4q^2+2q
     116: q^2+q
     117: 2q^2+2q
     118: q^2+q
     119: q^2+q
     120: q^2+q
     121: q^2+q
     122: q^2+q
     123: q^2+q
     124: 3q^2+q
     125: q^3+4q^2+q
     126: 3q^2+q
     127: 2q^2+q
     128: q^3+4q^2+q
     129: 2q^2+q
     130: 2q^2+q
     131: q
     132: 3q^2+q
     133: q
     134: q^2+q
     135: q^2+q
     136: q^2+q
     137: q^2+q
     138: 3q^2+2q
     139: 2q^2+2q
     140: q
     141: q
     142: q^2+q
     143: q^2+q
     144: q^2+q
     145: q
     146: q^2+2q
     147: q^2+q
     148: 3q^2+q
     149: 3q^2+q
     150: 3q^2+q
     151: q^2+q
     152: 4q^2+q
     153: q
     154: 2q^2+q
     155: q
     156: 2q^2+q
     157: 2q^2+q
     158: q^2+q
     159: q^2+q
     160: q^2+q
     161: 3q+1
     162: 3q+1
     163: q^2+2q+1
     164: q^2+2q+1
     165: q
     166: q
     167: q
     168: q^2+q
     169: q
     170: q^2+q
     172: 3q^2+q
     174: q^2+q
     175: 3q^2+q
     176: q^2+q
     177: q^2+q
     178: q^2+q
     179: q^2+q
     180: q^2+q
     181: q^2+q
     182: q^2+q
     183: 3q^2+q
     184: q
     185: 2q^2+q
     186: q
     187: q^2+q
     188: q
     189: 2q+1
     190: 3q+1
     191: q
     192: q
     193: q^2+2q
     194: 2q+1
     195: q
     196: q
     197: q
     198: q
     199: q
     200: q
     203: q^2+q
     204: q^2+q
     207: 3q^2+q
     209: q^2+q
     211: q
     212: 2q+1
     213: q
     214: 2q+1
     215: q^2+q
     216: q+1
     217: q^2+q
     218: q^2+q
     219: q
     220: q
     221: q^2+q
     222: q^2+q
     223: q
     224: q^2+q
     231: q^2+q
     233: q
     234: q^2+q
     235: q
     236: q
     237: q
     238: q
     239: q^2+q
     240: q
     241: q^2+q
     244: q^2+q
     246: q
     247: q+1
     248: q
     249: 2q+1
     250: q^2+q
     251: q
     258: 2q+1
     260: q
     261: q
     262: 2q+1
     263: q
     266: q
     267: q
     269: q+1
     270: q
     271: 1
     272: q
     273: 1
     282: q
     283: q
     284: q
     285: q
     286: q
     287: q
     288: q
     289: 2q+1
     290: q
     295: q^2+q
     297: q
     298: q^2+q
     299: q
     301: q
     303: q
     304: q
     305: q
     307: 1
     310: q
     311: 1
     316: q
     317: q+1
     322: q+1
     325: q
     326: q
     328: q+1
     329: q
     330: 1
     331: q
     332: 1
     333: q+1
     345: q
     346: q
     349: 1
     351: q
     352: q
     353: 2q+1
     354: q
     362: q
     364: q
     365: q
     366: q
     367: q
     368: 1
     370: 1
     372: 1
     381: q+1
     384: 1
     392: 1
     399: q
     400: q
     408: 1
     409: 2
     410: 1
     412: q+1
     429: 1
     434: 1
     436: 1
     443: 1
     447: 1
     449: 1
     451: 2
     453: 1
     466: 1
     468: 1
     480: 1
     482: 1
     500: 1
     506: 1
     510: 1
     511: 1
     539: 1

540:   0: 2q^2+3q+1
       1: 3q+1
       2: 2q^2+3q+1
       3: q^2+2q+1
       4: 2q^2+3q+1
       5: 3q+1
       6: q^3+2q+1
       7: 3q+1
       8: 2q^2+3q+1
       9: q^2+2q+1
      10: q^3+2q+1
      11: 3q+1
      12: q^3+2q+1
      13: q^3+2q+1
      14: q^3+2q+1
      15: q^3+2q+1
      16: q^3+2q+1
      17: q^4+q^3+q+1
      18: q^3+2q+1
      19: q^4+q^3+q+1
      20: 3q+1
      21: q^3+2q+1
      22: 3q+1
      23: q^3+2q+1
      24: q^3+2q+1
      25: q^3+2q+1
      26: 3q+1
      27: 2q+1
      28: 3q+1
      29: 2q+1
      30: q^3+q+1
      31: q^3+q+1
      32: 2q^2+3q+1
      33: 2q^2+3q+1
      34: q^3+2q+1
      35: q^3+2q+1
      36: q^3+2q+1
      37: q^3+2q+1
      38: q^2+2q+1
      39: 2q+1
      40: q^2+2q+1
      41: 2q+1
      42: 2q+1
      43: 2q+1
      44: 2q^2+3q+1
      45: 3q+1
      46: 2q^2+3q+1
      47: 3q+1
      48: q^3+2q+1
      49: q^3+2q+1
      50: 2q+1
      51: 2q+1
      52: 2q+1
      53: 2q+1
      54: 3q+1
      55: 3q+1
      56: 2q^2+3q+1
      57: 3q+1
      58: 2q+1
      59: 3q+1
      60: 2q+1
      61: q^3+q+1
      62: q^3+q+1
      63: 3q+1
      64: 3q+1
      65: 2q+1
      66: 2q+1
      67: q^3+q+1
      68: q^3+q+1
      69: q^2+2q+1
      70: 2q+1
      71: q^2+2q+1
      72: 2q+1
      73: 2q+1
      74: 2q+1
      75: q+1
      76: q^2+q+1
      77: q^2+2q+1
      78: q^2+q+1
      79: q^2+2q+1
      80: 2q+1
      81: q^2+2q+1
      82: 2q+1
      83: 2q+1
      84: 2q+1
      85: q+1
      86: q+1
      87: 2q+1
      88: 2q+1
      89: 2q+1
      90: 2q+1
      91: 2q+1
      92: 2q+1
      93: q+1
      94: q^2+q+1
      95: q+1
      96: 3q+1
      97: 3q+1
      98: 2q+1
      99: 2q+1
     100: 2q+1
     101: 2q+1
     102: q+1
     104: q+1
     105: q^2
     106: q+1
     107: q^2
     108: 3q+1
     109: 3q+1
     110: 2q+1
     111: q^3+q+1
     112: 2q+1
     113: q^3+q+1
     114: q+1
     115: q^2+q+1
     116: q^2+2q+1
     117: q^2+q+1
     118: 2q+1
     119: 2q+1
     120: 2q+1
     121: q+1
     122: 2q+1
     123: q+1
     124: q^2+2q+1
     125: 2q+1
     126: q^2+2q+1
     127: 2q+1
     128: 2q+1
     129: 2q+1
     130: q+1
     131: q^2
     132: q+1
     134: q+1
     135: q+1
     136: 2q+1
     137: 2q+1
     138: q+1
     139: q^2+q+1
     140: q+1
     141: q+1
     142: 2q+1
     143: 2q+1
     144: q+1
     145: q+1
     146: q+1
     147: 3q+1
     148: 2q+1
     149: 2q+1
     150: q+1
     152: q+1
     153: q^2
     154: q+1
     155: q^2
     156: 2q+1
     157: 2q+1
     158: 2q+1
     159: 2q+1
     160: q+1
     161: 1
     162: 1
     163: q+1
     164: q^2+1
     165: 2q+1
     166: 2q+1
     167: 2q+1
     168: q+1
     169: 2q+1
     170: q+1
     171: 2q+2
     172: q+1
     173: 2q+2
     174: q+1
     175: q+1
     176: q+1
     177: 2q+1
     178: 2q+1
     179: 2q+1
     180: q+1
     181: 2q+1
     182: q+1
     183: q+1
     185: q+1
     186: q^2
     187: q+1
     189: 1
     190: 1
     191: q+1
     192: q+1
     193: q+1
     194: 1
     195: q+1
     196: q+1
     197: 2q+1
     198: 2q+1
     199: q+1
     200: q+1
     201: q+1
     202: q+1
     203: q+1
     204: q+1
     205: 2q+2
     207: q+1
     209: q+1
     211: 1
     213: 1
     215: 1
     216: q^2
     217: 2q+1
     218: 2q+1
     219: q+1
     220: q+1
     221: 2q+1
     222: 2q+1
     223: q+1
     224: q+1
     225: 2q+2
     226: 1
     227: 1
     228: q+1
     229: q^2+1
     230: 2
     231: 1
     232: 2
     233: 1
     234: 1
     235: 1
     236: 2q+1
     237: 2q+1
     238: 2q+1
     239: q+1
     240: 2q+1
     241: q+1
     242: q+1
     244: q+1
     246: 1
     248: 1
     250: q+1
     252: q+1
     253: q+1
     256: 1
     257: 1
     258: 1
     259: 1
     260: q+1
     261: q+1
     262: 1
     263: q+1
     264: q+1
     265: q+1
     266: 1
     267: 1
     268: 2
     270: 1
     272: 1
     274: 1
     275: 1
     276: 1
     278: 1
     280: 1
     281: q^2
     282: q+1
     283: q+1
     284: q+1
     285: q+1
     286: 2q+1
     287: 2q+1
     288: q+1
     289: 1
     290: q+1
     291: q+1
     292: q+1
     293: 2
     294: 2
     295: 1
     296: 2
     297: 1
     298: 1
     299: 1
     300: 2
     301: 1
     302: 2
     303: 1
     304: 1
     305: 1
     306: 1
     308: q+1
     310: 1
     312: 1
     314: 1
     316: 1
     318: q+1
     320: 1
     321: 1
     324: 1
     325: 1
     326: 1
     327: 2
     329: 1
     331: 1
     333: 1
     334: 1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 2
     341: 1
     343: 1
     345: 1
     346: 1
     347: 1
     348: 1
     350: 2
     351: q+1
     352: q+1
     353: 1
     354: q+1
     355: 1
     356: q+1
     357: q+1
     358: 2
     359: 1
     360: 1
     361: 2
     362: 1
     363: 2
     364: 1
     365: 1
     366: 1
     367: 1
     369: 1
     371: 1
     373: 1
     375: 1
     377: 1
     379: 1
     380: 1
     383: 1
     385: q+1
     387: 1
     388: 1
     393: 2
     395: 1
     397: 1
     399: 1
     400: 1
     401: 1
     402: 1
     403: 1
     404: 1
     405: 1
     406: 1
     407: 1
     411: 2
     412: 1
     413: 1
     414: 1
     415: 1
     416: 1
     417: 1
     418: 1
     419: 1
     426: 1
     428: 1
     430: 1
     432: 1
     438: 1
     439: 1
     442: 1
     444: 1
     446: 1
     464: 1
     465: 1
     470: 1
     471: 1
     472: 1
     473: 1
     474: 1
     475: 1
     476: 1
     489: 1
     499: 1
     501: 1
     503: 1
     518: 1
     519: 1
     540: 1

541:   1: q^3+q^2
       5: q^3+q^2
       6: q^2
       7: q^3+q^2
      10: q^2
      11: q^3+q^2
      12: q^2
      13: q^2
      14: q^2
      15: q^2
      16: q^2
      17: q^3+q^2
      18: q^2
      19: q^3+q^2
      20: q^3+q^2
      21: q^2
      22: q^3+q^2
      23: q^2
      24: q^2
      25: q^2
      30: q^2
      31: q^2
      34: q^2
      35: q^2
      36: q^2
      37: q^2
      39: q^2
      41: q^2
      42: q^2
      43: q^2
      45: q^3+q^2
      47: q^3+q^2
      48: q^2
      49: q^2
      50: q^2
      51: q^2
      54: q^3+q^2
      61: q^2
      62: q^2
      67: q^2
      68: q^2
      70: q^2
      72: q^2
      73: q^2
      74: q^2
      76: q^2
      78: q^2
      80: q^2
      82: q^2
      83: q^2
      84: q^2
      91: q^2
      92: q^2
      94: q^2
      98: q^2
      99: q^2
     104: q^2
     106: q^2
     111: q^2
     113: q^2
     115: q^2
     117: q^2
     121: q^2
     123: q^2
     125: q^2
     127: q^2
     128: q^2
     129: q^2
     130: q^2
     139: q^2
     152: q^2
     154: q^2
     156: q^2
     157: q^2
     161: 1
     162: 1
     163: q+1
     164: q^2+1
     168: q^2
     170: q^2
     180: q^2
     182: q^2
     185: q^2
     189: 1
     190: 1
     194: 1
     212: 1
     214: 1
     215: q^2
     216: 1
     226: 1
     227: 1
     228: q+1
     229: q^2+1
     239: q^2
     241: q^2
     247: 1
     249: 1
     256: 1
     257: 1
     258: 1
     259: 1
     262: 1
     269: 2
     271: 1
     273: 1
     277: 1
     279: 1
     280: q^2
     281: 1
     289: 1
     307: 1
     311: 1
     313: 1
     315: 1
     317: 1
     322: 1
     323: 1
     324: 1
     328: 2
     330: 1
     332: 1
     333: 1
     334: 1
     340: 2
     342: 1
     344: 1
     353: 1
     355: 1
     368: 1
     370: 1
     372: 1
     374: 1
     376: 1
     378: 1
     381: 1
     382: 1
     384: 1
     389: 1
     390: 1
     394: 2
     396: 1
     398: 1
     401: 1
     412: 1
     413: 1
     427: 1
     429: 1
     431: 1
     433: 1
     440: 1
     441: 1
     443: 1
     445: 1
     447: 1
     470: 1
     490: 1
     500: 1
     502: 1
     504: 1
     541: 1

542:   0: 2q^2+3q+1
       1: 2q^2+3q+1
       2: 2q^3+3q^2+3q+1
       3: q^2+2q+1
       4: 2q^2+3q+1
       5: 2q^2+3q+1
       6: q^2+2q+1
       7: 2q^2+3q+1
       8: 2q^3+3q^2+3q+1
       9: q^2+2q+1
      10: q^2+2q+1
      11: 2q^2+3q+1
      12: q+1
      13: q^2+2q+1
      14: q+1
      15: q^2+2q+1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      20: 2q^2+3q+1
      21: q^2+2q+1
      22: 2q^2+3q+1
      23: q+1
      24: q^2+2q+1
      25: q+1
      26: 2q^2+3q+1
      27: q^2+2q+1
      28: 2q^2+3q+1
      29: q^2+2q+1
      30: q+1
      31: q+1
      32: 2q^2+3q+1
      33: 2q^2+3q+1
      34: q+1
      35: q+1
      36: q+1
      37: q+1
      38: q^2+2q+1
      39: q^2+2q+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: 2q^2+3q+1
      46: 2q^3+3q^2+3q+1
      47: 2q^2+3q+1
      48: q+1
      49: q+1
      50: q^2+2q+1
      51: q^2+2q+1
      52: q^2+2q+1
      53: q^2+2q+1
      54: 2q^2+3q+1
      55: 2q^2+3q+1
      56: 2q^2+3q+1
      57: 2q^2+3q+1
      58: q^2+2q+1
      59: 2q^2+3q+1
      60: q^2+2q+1
      61: q+1
      62: q+1
      63: 2q^2+3q+1
      64: 2q^2+3q+1
      65: q+1
      66: q+1
      67: q+1
      68: q+1
      69: q^2+2q+1
      70: q+1
      71: q^2+2q+1
      72: q+1
      73: q+1
      74: q+1
      75: q+1
      76: q+1
      77: q^3+2q^2+2q+1
      78: q+1
      79: q^2+2q+1
      80: q^2+2q+1
      81: q^2+2q+1
      82: q^2+2q+1
      83: q^2+2q+1
      84: q^2+2q+1
      85: q+1
      86: q+1
      87: q+1
      88: q+1
      89: q^2+2q+1
      90: q^2+2q+1
      91: q+1
      92: q+1
      93: q+1
      94: q+1
      95: q+1
      96: 2q^2+3q+1
      97: 2q^2+3q+1
      98: q^2+2q+1
      99: q^2+2q+1
     100: q^2+2q+1
     101: q^2+2q+1
     102: q+1
     104: q+1
     106: q+1
     108: 2q^2+3q+1
     109: 2q^2+3q+1
     110: q+1
     111: q+1
     112: q+1
     113: q+1
     114: q+1
     115: 1
     116: q^2+2q+1
     117: 1
     118: q^2+2q+1
     119: q+1
     120: q^2+2q+1
     121: q+1
     122: q+1
     123: q+1
     124: q^2+2q+1
     125: q+1
     126: q^2+2q+1
     127: q+1
     128: q+1
     129: q+1
     130: q+1
     132: q+1
     134: q+1
     135: q+1
     136: q+1
     137: q+1
     138: 1
     139: 1
     140: q+1
     141: q+1
     142: q+1
     143: q+1
     144: q+1
     145: q+1
     146: q+1
     147: 2q^2+3q+1
     148: q+1
     149: q+1
     150: q+1
     152: 1
     154: 1
     156: q+1
     157: q+1
     158: q^2+2q+1
     159: q^2+2q+1
     160: q+1
     161: q+1
     162: 1
     163: q^2+2q+1
     164: 1
     165: q^2+2q+1
     166: q+1
     167: q^2+2q+1
     168: q+1
     169: q+1
     170: q+1
     171: 2q+2
     172: 1
     173: 2q+2
     174: 1
     175: 1
     176: 1
     177: q^2+2q+1
     178: q+1
     179: q^2+2q+1
     180: q+1
     181: q+1
     182: q+1
     183: 1
     185: 1
     187: q+1
     189: 1
     190: 1
     191: q+1
     192: q+1
     193: 1
     194: q+1
     195: q+1
     196: q+1
     197: q+1
     198: q+1
     199: 1
     200: q+1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 2q+2
     207: 1
     209: 1
     211: q+1
     213: 1
     215: 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: 2q+2
     226: q+1
     227: 1
     228: q^2+2q+1
     229: 1
     230: 2q+2
     231: 1
     232: 2q+2
     233: 1
     234: 1
     235: 1
     236: q^2+2q+1
     237: q+1
     238: q^2+2q+1
     239: q+1
     240: q+1
     241: q+1
     242: 1
     244: 1
     246: 1
     248: 1
     250: 1
     252: q+1
     253: q+1
     256: 1
     257: 1
     258: 1
     259: q+1
     260: q+1
     261: q+1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     267: 1
     268: 2q+2
     270: 1
     272: 1
     274: 1
     275: 1
     276: q+1
     278: 1
     280: 1
     282: q+1
     283: q+1
     284: q+1
     285: q+1
     286: q+1
     287: q+1
     288: 1
     289: q+1
     290: q+1
     291: 1
     292: 1
     293: 2q+2
     294: 2
     295: 1
     296: 2
     298: 1
     300: 2q+2
     301: 1
     302: 2q+2
     303: 1
     304: 1
     305: 1
     306: 1
     308: 1
     310: 1
     312: 1
     314: 1
     316: 1
     318: 1
     320: q+1
     321: q+1
     324: 1
     327: 2
     329: 1
     333: 1
     334: 1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 2q+2
     341: 1
     343: 1
     345: 1
     346: 1
     347: 1
     348: 1
     350: 2
     351: q+1
     352: q+1
     353: 1
     354: 1
     355: q+1
     356: 1
     357: 1
     358: 2q+2
     359: 1
     360: 1
     361: 2
     362: 1
     363: 2
     365: 1
     369: 1
     371: 1
     373: 1
     375: 1
     377: 1
     379: 1
     380: 1
     383: 1
     385: 1
     387: q+1
     388: q+1
     393: 2
     395: 1
     401: 1
     404: 1
     405: 1
     406: 1
     407: 1
     411: 2
     412: 1
     413: 1
     414: 1
     415: 1
     416: 1
     417: 1
     418: 1
     419: 1
     420: 2
     421: 1
     422: 2
     424: 1
     430: 1
     432: 1
     438: 1
     439: 1
     442: 1
     444: 1
     446: 1
     454: 2
     456: 1
     462: 1
     463: 1
     469: 2
     470: 1
     473: 1
     474: 1
     475: 1
     476: 1
     487: 1
     495: 1
     496: 1
     501: 1
     503: 1
     520: 1
     521: 1
     542: 1

543:   0: q^3+q^2
       1: q^3+q^2
       3: q^2
       4: q^3+q^2
       5: q^4+2q^3+q^2
       6: q^2
       7: q^3+q^2
       9: q^2
      10: q^3+q^2
      11: q^4+2q^3+q^2
      12: q^3+q^2
      13: q^2
      14: q^2
      15: q^3+q^2
      16: q^3+q^2
      17: q^2
      18: q^2
      19: q^2
      20: q^3+q^2
      21: q^2
      22: q^3+q^2
      23: q^2
      24: q^2
      25: q^2
      26: q^3+q^2
      27: q^2
      28: q^3+q^2
      29: q^2
      30: q^2
      31: q^2
      34: q^2
      35: q^2
      36: q^2
      37: q^2
      38: q^2
      39: q^2
      40: q^2
      41: q^3+q^2
      42: q^2
      43: q^3+q^2
      44: q^3+q^2
      45: q^3+q^2
      47: q^4+2q^3+q^2
      48: q^2
      49: q^2
      50: q^2
      51: q^2
      52: q^2
      53: q^2
      54: q^3+q^2
      55: q^3+q^2
      57: q^3+q^2
      58: q^2
      59: q^3+q^2
      60: q^2
      61: q^2
      62: q^2
      65: q^2
      66: q^2
      67: q^2
      68: q^2
      70: q^2
      72: q^2
      73: q^2
      74: q^2
      75: q^2
      76: q^2
      78: q^3+q^2
      79: q^2
      80: q^2
      81: q^2
      82: q^3+q^2
      83: q^2
      84: q^3+q^2
      85: q^2
      86: q^2
      89: q^2
      90: q^2
      91: q^2
      92: q^2
      94: q^2
      95: q^2
      96: q^3+q^2
      98: q^2
      99: q^2
     100: q^2
     101: q^2
     102: q^2
     104: q^2
     106: q^3+q^2
     114: q
     115: q^2+q
     116: q^2+q
     117: q^2
     119: q^2
     121: q^2
     122: q^2
     123: q^2
     125: q^2
     127: q^2
     128: q^2
     129: q^2
     130: q^2
     132: q^2
     138: q
     139: q^2
     140: q^2
     141: q^2
     144: q
     146: q^2
     151: q
     152: q^2
     153: q
     154: q^2
     156: q^2
     157: q^2
     158: q^2
     159: q^2
     161: q
     162: q^2+q
     163: q^2+q
     164: q^2
     178: q^2
     180: q^2
     181: q^2
     182: q^2
     184: q
     185: q^2
     187: q^2
     189: q^2
     190: q
     194: q
     199: q
     206: 2q
     208: q
     212: q
     213: q^2
     214: q
     215: q^2
     219: q^2
     220: q^2
     224: q
     226: q+1
     227: 1
     228: q^2+2q+1
     229: 1
     243: q
     246: q^2
     249: q
     254: q
     255: q
     256: 1
     257: 1
     259: q+1
     262: q
     269: 2q
     271: q
     277: q+1
     279: 1
     281: 1
     288: q
     289: q
     307: q
     313: 1
     315: 1
     319: q
     322: q
     323: q
     324: 1
     334: 1
     340: 2q+2
     342: 1
     344: 1
     353: q
     355: q+1
     374: 1
     376: 1
     378: 1
     384: q
     389: q+1
     390: q+1
     394: 2
     396: 1
     401: 1
     413: 1
     431: 1
     433: 1
     440: 1
     441: 1
     445: 1
     455: 2
     457: 1
     470: 1
     488: 1
     497: 1
     498: 1
     502: 1
     504: 1
     543: 1

544:   0: 3q+1
       1: 3q+1
       2: 2q^2+3q+1
       3: 3q+1
       4: 3q+1
       5: q+1
       6: 3q+1
       7: 3q+1
       8: 2q^2+3q+1
       9: 3q+1
      10: q+1
      11: q+1
      12: q+1
      13: 3q+1
      14: 1
      15: q+1
      16: q+1
      17: 1
      18: 1
      19: 1
      20: q+1
      21: q+1
      22: q+1
      23: 1
      24: q+1
      25: 1
      26: 3q+1
      27: 3q+1
      28: 3q+1
      29: 3q+1
      30: 1
      31: 1
      32: 3q+1
      33: 3q+1
      34: q+1
      35: 1
      36: q+1
      37: 1
      38: 3q+1
      39: 3q+1
      40: 3q+1
      41: q+1
      42: 3q+1
      43: q+1
      44: 3q+1
      45: 3q+1
      46: 2q^2+3q+1
      47: q+1
      48: 1
      49: 1
      50: q+1
      51: q+1
      52: 3q+1
      53: 3q+1
      54: q+1
      55: 3q+1
      56: 3q+1
      57: q+1
      58: q+1
      59: q+1
      60: q+1
      61: 1
      62: 1
      63: 3q+1
      64: 3q+1
      65: q+1
      66: q+1
      67: 1
      68: 1
      69: 3q+1
      70: q+1
      71: 3q+1
      72: 1
      73: q+1
      74: 1
      75: 3q+1
      76: 3q+1
      77: 2q^2+3q+1
      78: q+1
      79: 3q+1
      80: 3q+1
      81: 3q+1
      82: q+1
      83: 3q+1
      84: q+1
      85: 1
      86: 1
      87: q+1
      88: q+1
      89: q+1
      90: q+1
      91: 1
      92: 1
      93: 3q+1
      94: q+1
      95: 3q+1
      96: q+1
      97: 3q+1
      98: q+1
      99: q+1
     100: 3q+1
     101: 3q+1
     102: 3q+1
     104: 3q+1
     106: q+1
     108: q+1
     109: q+1
     110: 1
     111: 1
     112: 1
     113: 1
     114: 2q+1
     115: 1
     116: 2q+1
     117: 1
     118: 3q+1
     119: q+1
     120: 3q+1
     121: 1
     122: q+1
     123: 1
     124: 3q+1
     125: q+1
     126: 3q+1
     127: 1
     128: q+1
     129: 1
     130: q+1
     132: 3q+1
     134: 1
     135: 1
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     142: q+1
     143: q+1
     144: 2q+1
     145: 3q+1
     146: q+1
     147: q+1
     148: q+1
     149: q+1
     150: 2q+1
     152: 1
     154: 1
     156: 1
     157: 1
     158: q+1
     159: q+1
     160: 3q+1
     161: 2q+1
     162: 1
     163: 2q+1
     164: 1
     165: q+1
     166: 1
     167: q+1
     168: 1
     169: 1
     170: 1
     171: 3q+1
     172: q+1
     173: 3q+1
     174: 1
     175: q+1
     176: 1
     177: 3q+1
     178: q+1
     179: 3q+1
     180: 1
     181: q+1
     182: 1
     183: 1
     185: 1
     187: q+1
     189: 1
     190: 1
     191: 1
     192: 1
     193: 1
     194: 2q+1
     195: 1
     196: 1
     197: 1
     198: 1
     199: 1
     200: q+1
     201: q+1
     202: q+1
     203: 1
     204: 1
     205: 2q+1
     207: 1
     209: 1
     211: 2q+1
     213: 1
     215: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: q+1
     222: q+1
     223: 3q+1
     224: 2q+1
     225: 3q+1
     230: 3q+1
     231: q+1
     232: 3q+1
     233: 1
     234: q+1
     235: 1
     236: q+1
     237: 1
     238: q+1
     239: 1
     240: 1
     241: 1
     242: 1
     244: 1
     246: 1
     248: 1
     250: 1
     252: 2q+1
     258: 1
     260: 1
     261: 1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     267: 1
     268: 2q+1
     270: 1
     272: 1
     274: q+1
     275: q+1
     282: 1
     283: 1
     284: 1
     285: 1
     286: 1
     287: 1
     288: 1
     289: 2q+1
     290: q+1
     291: q+1
     292: q+1
     293: 3q+1
     294: 2
     295: 2
     296: 2
     298: 2
     300: q+1
     301: 1
     302: q+1
     303: 1
     304: 1
     305: 1
     306: 1
     308: 1
     310: 1
     316: 1
     318: 1
     320: 2q+1
     327: 2
     329: 2
     333: 1
     335: 2
     336: 2
     337: 1
     338: 1
     345: 1
     346: 1
     347: 1
     348: 1
     349: 1
     350: 2
     351: 1
     352: 1
     353: 1
     354: 1
     356: 1
     357: 1
     358: q+1
     359: q+1
     360: q+1
     361: 1
     362: 1
     363: 1
     365: 1
     369: 2
     371: 1
     379: 1
     380: 1
     383: 1
     385: 1
     391: 1
     404: 1
     405: 1
     406: 1
     407: 1
     408: 1
     409: 1
     410: 2
     411: 1
     412: 1
     414: 1
     415: 1
     416: 2
     417: 2
     418: 1
     419: 1
     420: 1
     421: 1
     422: 1
     424: 1
     434: 1
     435: 1
     442: 1
     446: 2
     448: 1
     450: 1
     452: 2
     462: 1
     463: 1
     466: 1
     468: 1
     469: 1
     473: 1
     474: 1
     475: 1
     476: 1
     477: 1
     478: 1
     505: 1
     509: 1
     514: 1
     520: 1
     521: 1
     544: 1

545:   0: 3q^2+q
       1: 3q^2+q
       2: 2q^3+3q^2+q
       3: 3q^3+4q^2+q
       4: 3q^2+q
       5: q^2+q
       6: 3q^3+4q^2+q
       7: 3q^2+q
       8: 2q^3+3q^2+q
       9: 3q^3+4q^2+q
      10: q^3+2q^2+q
      11: q^2+q
      12: q^3+2q^2+q
      13: 3q^3+4q^2+q
      14: q^2+q
      15: q^3+2q^2+q
      16: q^3+2q^2+q
      17: q^2+q
      18: q^2+q
      19: q^2+q
      20: q^2+q
      21: q^3+2q^2+q
      22: q^2+q
      23: q^2+q
      24: q^3+2q^2+q
      25: q^2+q
      26: 3q^2+q
      27: 3q^3+4q^2+q
      28: 3q^2+q
      29: 3q^3+4q^2+q
      30: q^2+q
      31: q^2+q
      32: 3q^2+q
      33: 3q^2+q
      34: q^3+2q^2+q
      35: q^2+q
      36: q^3+2q^2+q
      37: q^2+q
      38: 3q^2+q
      39: 3q^2+q
      40: 3q^2+q
      41: q^2+q
      42: 3q^2+q
      43: q^2+q
      44: 3q^2+q
      45: 3q^2+q
      46: 2q^3+3q^2+q
      47: q^2+q
      48: q^2+q
      49: q^2+q
      50: q^2+q
      51: q^2+q
      52: 3q^2+q
      53: 3q^2+q
      54: q^2+q
      55: 3q^2+q
      56: 3q^2+q
      57: q^2+q
      58: q^3+2q^2+q
      59: q^2+q
      60: q^3+2q^2+q
      61: q^2+q
      62: q^2+q
      63: 3q^2+q
      64: 3q^2+q
      65: q^3+2q^2+q
      66: q^3+2q^2+q
      67: q^2+q
      68: q^2+q
      69: 3q^2+q
      70: q^2+q
      71: 3q^2+q
      72: q
      73: q^2+q
      74: q
      75: 5q^2+2q
      76: 5q^2+2q
      77: q^3+2q^2+q
      78: 2q^2+2q
      79: 3q^2+q
      80: 3q^2+q
      81: 3q^2+q
      82: q^2+q
      83: 3q^2+q
      84: q^2+q
      85: q^2+q
      86: q^2+q
      87: q^2+q
      88: q^2+q
      89: q^2+q
      90: q^2+q
      91: q
      92: q
      93: 2q^2+q
      94: 2q^2+2q
      95: 5q^2+2q
      96: q^2+q
      97: 3q^2+q
      98: q^2+q
      99: q^2+q
     100: 3q^2+q
     101: 3q^2+q
     102: 3q^2+q
     103: 2q^2+q
     104: 3q^2+q
     105: 2q^2+q
     106: q^2+q
     107: q^2+q
     108: q^2+q
     109: q^2+q
     110: q^2+q
     111: q^2+q
     112: q^2+q
     113: q^2+q
     114: 3q^2+2q
     115: 2q
     116: q^2+q
     117: 2q
     118: 3q^2+q
     119: q^2+q
     120: 3q^2+q
     121: q
     122: q^2+q
     123: q
     124: 3q^2+q
     125: q^2+q
     126: 3q^2+q
     127: q
     128: q^2+q
     129: q
     130: q^2+q
     131: q^2+q
     132: 3q^2+q
     133: 2q^2+q
     134: q^2+q
     135: q^2+q
     136: q
     137: q
     138: 2q
     139: 2q
     140: q
     141: q
     142: q^2+q
     143: q^2+q
     144: q^2+q
     145: 2q^2+q
     146: 2q^2+2q
     147: q^2+q
     148: q^2+q
     149: q^2+q
     150: 2q^2+q
     151: q^2+q
     152: q
     153: q
     154: q
     155: q
     156: q
     157: q
     158: q^2+q
     159: q^2+q
     160: 2q^2+q
     161: 3q^2+2q
     162: 2q
     163: q^2+q
     164: 2q
     165: q^2+q
     166: q
     167: q^2+q
     168: q
     169: q
     170: q
     172: q^2+q
     174: q
     175: q^2+q
     176: q
     177: 3q^2+q
     178: q^2+q
     179: 3q^2+q
     180: q
     181: q^2+q
     182: q
     183: q
     184: q
     185: q
     186: q
     187: q^2+q
     188: q^2+q
     189: 2q
     190: 2q
     191: q
     192: q
     193: 2q
     194: q^2+q
     195: q
     196: q
     197: q
     198: q
     199: q
     200: q^2+q
     203: q
     204: q
     207: q
     209: q
     211: 2q^2+q
     212: q^2+q
     213: q
     214: q
     215: q
     216: q
     217: q
     218: q
     219: q
     220: q
     221: q^2+q
     222: q^2+q
     223: 2q^2+q
     224: q^2+q
     231: q^2+q
     233: q
     234: q^2+q
     235: q
     236: q^2+q
     237: q
     238: q^2+q
     239: q
     240: q
     241: q
     244: q
     246: q
     247: q
     248: q
     249: q
     250: q
     251: q
     258: 2q
     260: q
     261: q
     262: q
     263: q
     266: q
     267: q
     270: q
     272: q
     282: q
     283: q
     284: q
     285: q
     286: q
     287: q
     288: q
     289: q^2+q
     290: q^2+q
     295: 2q
     298: 2q
     301: q
     303: q
     304: q
     305: q
     310: q
     316: q
     317: q
     329: 2q
     333: q
     345: q
     346: q
     349: 1
     351: q
     352: q
     353: q
     354: q
     362: q
     365: q
     392: 1
     408: 1
     409: 1
     410: 2
     412: q
     421: q
     424: q
     434: 1
     435: 1
     449: 1
     451: 1
     453: 2
     466: 1
     468: 1
     480: 1
     481: 1
     506: 1
     510: 1
     514: 1
     545: 1

546:   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+1
      12: q^3+1
      13: q+1
      14: q^3+1
      15: q+1
      16: q^3+1
      17: q^3+1
      18: q^3+1
      19: q^3+1
      20: q+1
      21: q+1
      22: q+1
      23: q^3+1
      24: q+1
      25: q^3+1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      30: q^3+1
      31: q^3+1
      32: q+1
      33: q+1
      34: 1
      35: 1
      36: 1
      37: 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^3+q^2+q+1
      47: q+1
      48: 1
      49: 1
      50: q+1
      51: q+1
      52: q+1
      53: q+1
      54: q+1
      55: q+1
      56: q+1
      57: q+1
      58: q+1
      59: q+1
      60: q+1
      61: q^3+1
      62: q^3+1
      63: q+1
      64: q+1
      65: 1
      66: 1
      67: 1
      68: 1
      69: q+1
      70: 1
      71: q+1
      72: 1
      73: 1
      74: 1
      75: q+1
      76: q+1
      77: q^3+q^2+q+1
      78: q+1
      79: q+1
      80: q+1
      81: q+1
      82: q+1
      83: q+1
      84: q+1
      85: 1
      86: 1
      87: 1
      88: 1
      89: q+1
      90: q+1
      91: 1
      92: 1
      93: q+1
      94: 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
     104: q+1
     106: q+1
     108: q+1
     109: q+1
     110: 1
     111: 1
     112: 1
     113: 1
     114: q+1
     115: q+1
     116: q+1
     117: q+1
     118: q+1
     119: 1
     120: q+1
     121: 1
     122: 1
     123: 1
     124: q+1
     125: 1
     126: q+1
     127: 1
     128: 1
     129: 1
     130: q+1
     132: q+1
     134: 1
     135: 1
     136: 1
     137: 1
     138: 1
     139: q+1
     140: 1
     141: 1
     142: 1
     143: 1
     144: q+1
     145: q+1
     146: q+1
     147: q+1
     148: 1
     149: 1
     150: q+1
     152: 1
     153: q
     154: 1
     155: q
     156: 1
     157: 1
     158: q+1
     159: q+1
     160: q+1
     161: q+1
     162: q+1
     163: q+1
     164: q+1
     165: q+1
     166: 1
     167: q+1
     168: 1
     169: 1
     170: 1
     171: q+1
     172: 1
     173: q+1
     174: 1
     175: 1
     176: 1
     177: q+1
     178: 1
     179: q+1
     180: 1
     181: 1
     182: 1
     183: 1
     185: 1
     186: q
     187: q+1
     189: q+1
     190: 1
     191: 1
     192: 1
     193: 1
     194: q+1
     195: 1
     196: 1
     197: 1
     198: 1
     199: 1
     200: q+1
     201: 1
     202: 1
     203: 1
     204: 1
     205: q+1
     207: 1
     208: q
     209: 1
     210: q
     211: q+1
     213: 1
     214: q
     215: 1
     216: q
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 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: 1
     232: q+1
     233: 1
     234: 1
     235: 1
     236: q+1
     237: 1
     238: q+1
     239: 1
     240: 1
     241: 1
     242: 1
     244: 1
     245: q
     246: 1
     247: q
     248: 1
     250: 1
     252: q+1
     256: q+1
     257: 1
     258: 1
     259: q+1
     260: 1
     261: 1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     267: 1
     268: q+1
     270: 1
     271: q
     272: 1
     273: q
     274: 1
     275: 1
     276: q+1
     278: 1
     279: q
     280: 1
     281: q
     282: 1
     283: 1
     284: 1
     285: 1
     286: 1
     287: 1
     288: 1
     289: q+1
     290: q+1
     291: 1
     292: 1
     293: q+1
     300: q+1
     301: 1
     302: q+1
     303: 1
     304: 1
     305: 1
     306: 1
     308: 1
     310: 1
     311: q
     312: 1
     313: q
     314: 1
     316: 1
     318: 1
     320: q+1
     324: 1
     333: 1
     334: 1
     337: 1
     338: 1
     339: q+1
     341: 1
     342: q
     343: 1
     344: q
     345: 1
     346: 1
     347: 1
     348: 1
     349: 1
     351: 1
     352: 1
     353: 1
     354: 1
     355: q+1
     356: 1
     357: 1
     358: q+1
     359: 1
     360: 1
     371: 1
     373: 1
     375: 1
     376: q
     377: 1
     383: 1
     385: 1
     387: q+1
     391: 1
     401: 1
     406: 1
     407: 1
     408: 1
     409: 1
     412: 1
     413: 1
     414: 1
     415: 1
     418: 1
     419: 1
     432: 1
     442: 1
     444: 1
     448: 1
     450: 1
     466: 1
     467: 1
     470: 1
     475: 1
     476: 1
     501: 1
     505: 1
     507: 1
     515: 1
     546: 1

547:   0: q^2+q
       1: q^2+q
       3: q^2+q
       4: q^2+q
       5: q^2+q
       6: q^2+q
       7: q^2+q
       9: q^2+q
      10: q^2+q
      11: q^2+q
      12: q^2+q
      13: q^2+q
      14: q^2+q
      15: q^2+q
      16: q^2+q
      17: q^2+q
      18: q^2+q
      19: q^2+q
      20: q^2+q
      21: q^2+q
      22: q^2+q
      23: q^2+q
      24: q^2+q
      25: q^2+q
      26: q^2+q
      27: q^2+q
      28: q^2+q
      29: q^2+q
      30: q^2+q
      31: q^2+q
      34: q
      35: q
      36: q
      37: q
      38: q^2+q
      39: q^2+q
      40: q^2+q
      41: q^2+q
      42: q^2+q
      43: q^2+q
      44: q^2+q
      45: q^2+q
      47: q^2+q
      48: q
      49: q
      50: q^2+q
      51: q^2+q
      52: q^2+q
      53: q^2+q
      54: q^2+q
      55: q^2+q
      57: q^2+q
      58: q^2+q
      59: q^2+q
      60: q^2+q
      61: q^2+q
      62: q^2+q
      65: q
      66: q
      67: q
      68: q
      70: q
      72: q
      73: q
      74: q
      75: q^2+q
      76: q^2+q
      78: q^2+q
      79: q^2+q
      80: q^2+q
      81: q^2+q
      82: q^2+q
      83: q^2+q
      84: q^2+q
      85: q
      86: q
      89: q^2+q
      90: q^2+q
      91: q
      92: q
      94: q^2+q
      95: q^2+q
      96: q^2+q
      98: q^2+q
      99: q^2+q
     100: q^2+q
     101: q^2+q
     102: q^2+q
     104: q^2+q
     106: q^2+q
     110: q
     111: q
     112: q
     113: q
     114: q+1
     115: q+1
     116: q+1
     117: q+1
     119: q
     121: q
     122: q
     123: q
     125: q
     127: q
     128: q
     129: q
     130: q^2+q
     132: q^2+q
     134: q
     135: q
     138: 1
     139: q+1
     140: q
     141: q
     144: q+1
     146: q^2+q
     151: q+1
     152: q
     153: 1
     154: q
     155: 1
     156: q
     157: q
     158: q^2+q
     159: q^2+q
     161: q+1
     162: q+1
     163: q+1
     164: q+1
     166: q
     168: q
     169: q
     170: q
     172: q
     174: q
     175: q
     176: q
     178: q
     180: q
     181: q
     182: q
     184: 1
     185: q
     186: 1
     187: q^2+q
     189: q+1
     190: 1
     193: 1
     194: q+1
     195: q
     196: q
     199: 1
     203: q
     204: q
     206: q+1
     207: q
     208: 1
     209: q
     210: 1
     212: q+1
     213: q
     214: 1
     215: q
     216: 1
     219: q
     220: q
     224: q+1
     226: q+1
     227: q+1
     228: q+1
     229: q+1
     231: q
     233: q
     234: q
     235: q
     237: q
     239: q
     240: q
     241: q
     243: 1
     244: q
     245: 1
     246: q
     247: 1
     249: 1
     251: 1
     254: q+1
     256: q+1
     257: 1
     258: 1
     259: q+1
     262: 1
     263: 1
     266: q
     267: q
     269: q+1
     270: q
     271: 1
     272: q
     273: 1
     277: q+1
     278: q
     279: 1
     280: q
     281: 1
     284: q
     285: q
     288: 1
     289: q+1
     301: q
     303: q
     304: q
     305: q
     307: 1
     309: 1
     310: q
     311: 1
     312: q
     313: 1
     315: 1
     317: 1
     319: 1
     322: q+1
     324: 1
     333: 1
     334: 1
     340: q+1
     341: q
     342: 1
     343: q
     344: 1
     345: q
     346: q
     349: 1
     353: 1
     354: 1
     355: q+1
     372: 1
     374: 1
     375: q
     376: 1
     378: 1
     384: 1
     386: 1
     389: q+1
     392: 1
     401: 1
     408: 1
     409: 1
     412: 1
     413: 1
     433: 1
     443: 1
     445: 1
     449: 1
     451: 1
     466: 1
     467: 1
     470: 1
     502: 1
     506: 1
     508: 1
     515: 1
     547: 1

548:   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^2+2q+1
      12: q^2+2q+1
      13: q^2+2q+1
      14: q^2+2q+1
      15: q^2+2q+1
      16: q^2+2q+1
      17: q^3+q^2+q+1
      18: q^2+2q+1
      19: q^3+q^2+q+1
      20: q^2+2q+1
      21: q^2+2q+1
      22: q^2+2q+1
      23: q^2+2q+1
      24: q^2+2q+1
      25: q^2+2q+1
      26: 2q+1
      27: 2q+1
      28: 2q+1
      29: 2q+1
      30: q^2+q+1
      31: q^2+q+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+2q+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
      49: q^2+2q+1
      50: q^2+2q+1
      51: q^2+2q+1
      52: 2q+1
      53: 2q+1
      54: q^2+2q+1
      55: 2q+1
      56: q^2+2q+1
      57: 2q+1
      58: 2q+1
      59: 2q+1
      60: 2q+1
      61: q^2+q+1
      62: q^2+q+1
      63: 2q+1
      64: 2q+1
      65: 2q+1
      66: 2q+1
      67: q^2+q+1
      68: q^2+q+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+2q+1
      77: q^2+2q+1
      78: q^2+2q+1
      79: q+1
      80: q+1
      81: q+1
      82: q+1
      83: q+1
      84: q+1
      85: q+1
      86: q+1
      87: 2q+1
      88: 2q+1
      89: 2q+1
      90: 2q+1
      91: q^2+2q+1
      92: q^2+2q+1
      93: q^2+2q+1
      94: q^2+2q+1
      95: 2q+1
      96: 2q+1
      97: 2q+1
      98: q+1
      99: q+1
     100: q+1
     101: q+1
     102: q+1
     104: q+1
     106: q+1
     108: 2q+1
     109: 2q+1
     110: 2q+1
     111: q^2+q+1
     112: 2q+1
     113: q^2+q+1
     114: q^2+2q+1
     115: q^2+2q+1
     116: q^2+2q+1
     117: q^2+2q+1
     118: 2q+1
     119: 2q+1
     120: 2q+1
     121: q^2+q+1
     122: 2q+1
     123: q^2+q+1
     124: q+1
     125: q+1
     126: q+1
     127: q+1
     128: q+1
     129: q+1
     130: q+1
     132: q+1
     134: q+1
     135: q+1
     136: 2q+1
     137: 2q+1
     138: 2q+1
     139: q^2+2q+1
     140: q+1
     141: q+1
     142: 2q+1
     143: 2q+1
     144: q^2+2q+1
     145: 2q+1
     146: 2q+1
     147: 2q+1
     148: q+1
     149: q+1
     150: q+1
     152: q+1
     154: q+1
     156: q+1
     157: q+1
     158: q+1
     159: q+1
     160: q+1
     161: 2q+2
     162: 2q+2
     163: 2q+2
     164: q^2+q+2
     165: 2q+1
     166: 2q+1
     167: 2q+1
     168: q^2+q+1
     169: 2q+1
     170: q^2+q+1
     171: q+1
     172: q+1
     173: q+1
     174: q+1
     175: q+1
     176: q+1
     177: 1
     178: 1
     179: 1
     180: 1
     181: 1
     182: 1
     183: q+1
     185: q+1
     187: q+1
     189: q+2
     190: 2q+2
     191: q+1
     192: q+1
     193: 2q+1
     194: 2q+2
     195: q+1
     196: q+1
     197: 2q+1
     198: 2q+1
     199: 2q+1
     200: 2q+1
     201: q+1
     202: q+1
     203: q+1
     204: q+1
     205: q+1
     207: q+1
     209: q+1
     211: 1
     212: 1
     213: 1
     214: 1
     215: 1
     216: 1
     217: q+1
     218: q+1
     219: 1
     220: 1
     221: 1
     222: 1
     223: 1
     224: q+1
     225: q+1
     226: 2q+2
     227: 2q+2
     228: 2q+2
     229: q^2+q+2
     230: 1
     231: 1
     232: 1
     233: 1
     234: 1
     235: 1
     236: 1
     237: 1
     238: 1
     239: 1
     240: 1
     241: 1
     242: q+1
     244: q+1
     246: 1
     247: 1
     248: 1
     249: 1
     250: q+1
     252: q+1
     256: q+2
     257: 2q+2
     258: q+2
     259: 2q+2
     260: q+1
     261: q+1
     262: 2q+2
     263: 2q+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: 1
     281: 1
     282: 1
     283: 1
     284: 1
     285: 1
     286: 1
     287: 1
     288: 1
     289: 2
     290: 1
     293: 1
     294: 1
     295: 1
     296: 1
     297: 1
     298: 1
     299: 1
     300: 1
     301: 1
     302: 1
     303: 1
     304: 1
     305: 1
     306: 1
     307: 1
     308: q+1
     310: 1
     311: 1
     312: 1
     313: 1
     314: 1
     315: 1
     316: 1
     317: 1
     320: 1
     322: 1
     324: q+2
     325: 1
     326: 1
     327: 1
     328: 1
     329: 1
     330: 1
     331: 1
     332: 1
     333: q+2
     334: 2q+2
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: 1
     341: 1
     342: 1
     343: 1
     344: 1
     345: 1
     346: 1
     347: 1
     348: 1
     349: 1
     350: 1
     351: 1
     352: 1
     353: 2
     354: 1
     355: 2
     358: 1
     361: 1
     362: 1
     363: 1
     364: 1
     365: 1
     366: 1
     367: 1
     368: 1
     369: 1
     370: 1
     371: 1
     372: 1
     373: 1
     374: 1
     375: 1
     376: 1
     377: 1
     378: 1
     379: 1
     381: 1
     387: 1
     389: 1
     393: 1
     394: 1
     395: 1
     396: 1
     397: 1
     398: 1
     399: 1
     400: 1
     401: q+2
     402: 1
     403: 1
     404: 1
     405: 1
     406: 1
     407: 1
     408: 1
     409: 2
     410: 1
     411: 1
     412: 1
     413: 2
     426: 1
     427: 1
     428: 1
     429: 1
     430: 1
     431: 1
     432: 1
     433: 1
     434: 1
     436: 1
     438: 1
     440: 1
     464: 1
     465: 1
     466: 1
     467: 2
     468: 1
     470: 1
     489: 1
     490: 1
     491: 1
     493: 1
     511: 1
     515: 1
     548: 1

549:   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+1
       6: q^2+2q+1
       7: q^2+2q+1
       8: q^2+2q+1
       9: q^2+2q+1
      10: q+1
      11: q+1
      12: q^2+2q+1
      13: q^2+2q+1
      14: q+1
      15: q+1
      16: q^2+2q+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^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+2q+1
      33: q^2+2q+1
      34: q^2+2q+1
      35: q+1
      36: q^2+2q+1
      37: q+1
      38: q^2+2q+1
      39: q^2+2q+1
      40: q^2+2q+1
      41: q+1
      42: q^2+2q+1
      43: q+1
      44: 2q+1
      45: 2q+1
      46: 2q+1
      47: q+1
      48: q+1
      49: q+1
      50: q+1
      51: q+1
      52: q^2+2q+1
      53: q^2+2q+1
      54: q+1
      55: 2q+1
      56: 2q+1
      57: q+1
      58: q+1
      59: q+1
      60: q+1
      61: q+1
      62: q+1
      63: q^2+2q+1
      64: q^2+2q+1
      65: q^2+2q+1
      66: q^2+2q+1
      67: q+1
      68: q+1
      69: q^2+2q+1
      70: q^2+2q+1
      71: q^2+2q+1
      72: q+1
      73: q^2+2q+1
      74: q+1
      75: 2q+1
      76: 2q+1
      77: 2q+1
      78: q+1
      79: q+1
      80: q+1
      81: q+1
      82: 1
      83: q+1
      84: 1
      85: q+1
      86: q+1
      87: q^2+2q+1
      88: q^2+2q+1
      89: q+1
      90: q+1
      91: q+1
      92: q+1
      93: 2q+1
      94: q+1
      95: 2q+1
      96: q+1
      97: 2q+1
      98: 1
      99: 1
     100: q+1
     101: q+1
     102: q+1
     104: q+1
     106: 1
     108: q+1
     109: q+1
     110: q+1
     111: q+1
     112: q+1
     113: q+1
     114: 2q+1
     115: 2q+1
     116: 2q+1
     117: q+1
     118: q^2+2q+1
     119: q^2+2q+1
     120: q^2+2q+1
     121: q+1
     122: q^2+2q+1
     123: q+1
     124: q+1
     125: q+1
     126: q+1
     127: 1
     128: q+1
     129: 1
     130: 1
     132: q+1
     134: q+1
     135: q+1
     136: q+1
     137: q+1
     138: 2q+1
     139: q+1
     140: q+1
     141: q+1
     142: q^2+2q+1
     143: q^2+2q+1
     144: 2q+1
     145: 2q+1
     146: q+1
     147: q+1
     148: q+1
     149: q+1
     150: q+1
     152: q+1
     154: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     161: 2q+1
     162: 2q+1
     163: 2q+1
     164: q+1
     165: q+1
     166: q+1
     167: q+1
     168: q+1
     169: q+1
     170: q+1
     171: q+1
     172: q+1
     173: q+1
     174: 1
     175: q+1
     176: 1
     177: q+1
     178: q+1
     179: q+1
     180: 1
     181: q+1
     182: 1
     183: q+1
     185: 1
     187: 1
     189: q+1
     190: 2q+1
     191: q+1
     192: q+1
     193: q+1
     194: 2q+1
     195: q+1
     196: q+1
     197: q+1
     198: q+1
     199: 2q+1
     200: q+1
     201: q+1
     202: q+1
     203: 1
     204: 1
     205: q+1
     207: q+1
     209: 1
     211: q+1
     213: q+1
     215: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: q+1
     222: q+1
     223: 1
     224: 1
     225: 1
     230: q+1
     231: q+1
     232: q+1
     233: 1
     234: q+1
     235: 1
     236: 1
     237: 1
     238: 1
     239: 1
     240: 1
     241: 1
     242: q+1
     244: 1
     246: 1
     248: q+1
     250: 1
     252: 1
     258: q+1
     260: q+1
     261: q+1
     262: 2q+1
     263: q+1
     264: 1
     265: 1
     266: 1
     267: 1
     268: q+1
     270: q+1
     272: 1
     274: q+1
     275: q+1
     282: 1
     283: 1
     284: 1
     285: 1
     286: 1
     287: 1
     288: 1
     289: 1
     290: 1
     293: 1
     294: q+1
     295: q+1
     296: q+1
     297: 1
     298: q+1
     299: 1
     300: 1
     301: 1
     302: 1
     303: 1
     304: 1
     305: 1
     306: q+1
     308: 1
     310: 1
     316: 1
     320: 1
     325: 1
     326: 1
     327: q+1
     329: q+1
     331: 1
     333: q+1
     335: q+1
     336: q+1
     337: 1
     338: 1
     345: 1
     346: 1
     347: 1
     348: 1
     349: 1
     350: 1
     351: 1
     352: 1
     353: 1
     354: 1
     358: 1
     361: 1
     362: 1
     363: 1
     364: 1
     365: 1
     366: 1
     367: 1
     369: q+1
     371: 1
     379: 1
     399: 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
     420: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     428: 1
     434: 1
     460: 1
     461: 1
     462: 1
     463: 1
     464: 1
     465: 1
     466: 1
     468: 1
     469: 1
     511: 1
     512: 1
     513: 1
     514: 1
     549: 1

550:   0: q+1
       1: 1
       2: q+1
       3: q+1
       4: q+1
       5: 1
       6: 1
       7: 1
       8: q+1
       9: q+1
      10: 1
      11: 1
      12: 1
      13: 1
      14: 1
      15: 1
      16: 1
      17: q^5+1
      18: 1
      20: 1
      21: 1
      22: 1
      23: 1
      24: 1
      25: 1
      26: 1
      27: 1
      28: 1
      29: 1
      30: 1
      32: q+1
      33: q+1
      34: 1
      35: 1
      36: 1
      37: 1
      38: q+1
      39: 1
      40: q+1
      41: 1
      42: 1
      43: 1
      44: q+1
      45: 1
      46: q+1
      47: 1
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: q+1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      63: 1
      64: 1
      65: 1
      66: 1
      67: 1
      69: q+1
      70: 1
      71: q+1
      72: 1
      73: 1
      74: 1
      75: q+1
      76: 1
      77: q+1
      78: 1
      79: q+1
      80: 1
      81: q+1
      82: 1
      83: 1
      84: 1
      85: 1
      87: 1
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: q+1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: q+1
     104: 1
     106: 1
     108: 1
     109: 1
     110: 1
     111: 1
     112: 1
     114: q+1
     115: 1
     116: q+1
     117: 1
     118: 1
     119: 1
     120: 1
     121: 1
     122: 1
     124: q+1
     125: 1
     126: q+1
     127: 1
     128: 1
     129: 1
     130: 1
     132: 1
     134: 1
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     142: 1
     143: 1
     144: q+1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: q+1
     152: 1
     154: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: q+1
     165: 1
     166: 1
     167: 1
     168: 1
     169: 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
     183: 1
     185: 1
     187: 1
     191: 1
     193: 1
     195: 1
     197: 1
     198: 1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: q+1
     207: 1
     209: 1
     217: 1
     218: 1
     219: 1
     221: 1
     222: 1
     223: 1
     224: q+1
     225: q+1
     230: 1
     231: 1
     232: 1
     233: 1
     234: 1
     236: 1
     237: 1
     238: 1
     239: 1
     240: 1
     242: 1
     244: 1
     250: 1
     252: q+1
     260: 1
     263: 1
     264: 1
     265: 1
     266: 1
     274: 1
     275: 1
     282: 1
     284: 1
     286: 1
     287: 1
     288: 1
     290: 1
     291: 1
     292: 1
     293: 1
     294: 1
     295: 1
     296: 1
     297: 1
     298: 1
     300: 1
     301: 1
     302: 1
     303: 1
     304: 1
     308: 1
     318: 1
     325: 1
     335: 1
     336: 1
     337: 1
     345: 1
     347: 1
     348: 1
     349: 1
     350: 1
     351: 1
     354: 1
     356: 1
     357: 1
     358: 1
     359: 1
     360: 1
     361: 1
     362: 1
     363: 1
     364: 1
     365: 1
     385: 1
     391: 1
     399: 1
     402: 1
     404: 1
     405: 1
     406: 1
     408: 1
     410: 1
     411: 1
     414: 1
     416: 1
     417: 1
     418: 1
     419: 1
     448: 1
     452: 1
     464: 1
     468: 1
     471: 1
     473: 1
     474: 1
     475: 1
     509: 1
     516: 1
     518: 1
     550: 1

551:   0: q+1
       1: 1
       2: q+1
       3: q+1
       4: q+1
       5: 1
       6: 1
       7: 1
       8: q+1
       9: q+1
      10: 1
      11: 1
      12: 1
      13: 1
      14: 1
      15: 1
      16: 1
      18: 1
      19: q^5+1
      20: 1
      21: 1
      22: 1
      23: 1
      24: 1
      25: 1
      26: 1
      27: 1
      28: 1
      29: 1
      31: 1
      32: q+1
      33: q+1
      34: 1
      35: 1
      36: 1
      37: 1
      38: q+1
      39: 1
      40: q+1
      41: 1
      42: 1
      43: 1
      44: q+1
      45: 1
      46: q+1
      47: 1
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: q+1
      57: 1
      58: 1
      59: 1
      60: 1
      62: 1
      63: 1
      64: 1
      65: 1
      66: 1
      68: 1
      69: q+1
      70: 1
      71: q+1
      72: 1
      73: 1
      74: 1
      75: q+1
      76: 1
      77: q+1
      78: 1
      79: q+1
      80: 1
      81: q+1
      82: 1
      83: 1
      84: 1
      86: 1
      87: 1
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: q+1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: q+1
     104: 1
     106: 1
     108: 1
     109: 1
     110: 1
     112: 1
     113: 1
     114: q+1
     115: 1
     116: q+1
     117: 1
     118: 1
     119: 1
     120: 1
     122: 1
     123: 1
     124: q+1
     125: 1
     126: q+1
     127: 1
     128: 1
     129: 1
     130: 1
     132: 1
     135: 1
     136: 1
     137: 1
     138: 1
     139: 1
     141: 1
     142: 1
     143: 1
     144: q+1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: q+1
     152: 1
     154: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: q+1
     165: 1
     166: 1
     167: 1
     169: 1
     170: 1
     171: q+1
     172: 1
     173: q+1
     174: 1
     175: 1
     176: 1
     177: 1
     178: 1
     179: 1
     181: 1
     182: 1
     183: 1
     185: 1
     187: 1
     192: 1
     193: 1
     196: 1
     197: 1
     198: 1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: q+1
     207: 1
     209: 1
     217: 1
     218: 1
     220: 1
     221: 1
     222: 1
     223: 1
     224: q+1
     225: q+1
     230: 1
     231: 1
     232: 1
     234: 1
     235: 1
     236: 1
     237: 1
     238: 1
     240: 1
     241: 1
     242: 1
     244: 1
     250: 1
     252: q+1
     261: 1
     263: 1
     264: 1
     265: 1
     267: 1
     274: 1
     275: 1
     283: 1
     285: 1
     286: 1
     287: 1
     288: 1
     290: 1
     291: 1
     292: 1
     293: 1
     294: 1
     295: 1
     296: 1
     298: 1
     299: 1
     300: 1
     301: 1
     302: 1
     304: 1
     305: 1
     308: 1
     318: 1
     326: 1
     335: 1
     336: 1
     338: 1
     346: 1
     347: 1
     348: 1
     349: 1
     350: 1
     352: 1
     354: 1
     356: 1
     357: 1
     358: 1
     359: 1
     360: 1
     361: 1
     362: 1
     363: 1
     365: 1
     366: 1
     385: 1
     391: 1
     400: 1
     403: 1
     404: 1
     405: 1
     407: 1
     408: 1
     410: 1
     411: 1
     415: 1
     416: 1
     417: 1
     418: 1
     419: 1
     448: 1
     452: 1
     465: 1
     468: 1
     472: 1
     473: 1
     474: 1
     476: 1
     509: 1
     517: 1
     519: 1
     551: 1

552:   0: 2q+1
       1: 2q+1
       2: 2q+1
       3: q+1
       4: 2q+1
       5: q+1
       6: q+1
       7: 2q+1
       8: 2q+1
       9: q+1
      10: q^4+q+1
      11: q+1
      12: q+1
      13: q+1
      14: q^4+q+1
      15: 1
      16: q+1
      17: q^4+q+1
      18: 1
      19: 1
      20: q+1
      21: q+1
      22: q+1
      23: q+1
      24: 1
      25: 1
      26: 2q+1
      27: q+1
      28: 2q+1
      29: q+1
      30: q^4+q+1
      31: 1
      32: 2q+1
      33: 2q+1
      34: q+1
      35: q^4+q+1
      36: q+1
      37: 1
      38: q+1
      39: q+1
      40: q+1
      41: q+1
      42: q+1
      43: 1
      44: 2q+1
      45: 2q+1
      46: 2q+1
      47: q+1
      48: q+1
      49: 1
      50: q+1
      51: 1
      52: q+1
      53: q+1
      54: q+1
      55: 2q+1
      56: 2q+1
      57: q+1
      58: q+1
      59: q+1
      60: 1
      61: q+1
      62: 1
      63: 2q+1
      64: 2q+1
      65: q+1
      66: q+1
      67: q^4+q+1
      68: 1
      69: q+1
      70: q+1
      71: q+1
      72: q+1
      73: q+1
      74: 1
      75: 1
      76: 1
      77: q+1
      78: 1
      79: q+1
      80: q+1
      81: q+1
      82: q+1
      83: q+1
      84: 1
      85: q+1
      86: 1
      87: q+1
      88: q+1
      89: q+1
      90: 1
      91: q+1
      92: 1
      93: 1
      94: 1
      95: 1
      96: q+1
      97: 2q+1
      98: q+1
      99: 1
     100: q+1
     101: q+1
     102: 1
     104: 1
     106: 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: 1
     118: q+1
     119: q+1
     120: q+1
     121: q+1
     122: q+1
     123: 1
     124: q+1
     125: q+1
     126: q+1
     127: q+1
     128: q+1
     129: 1
     130: 1
     132: 1
     134: q+1
     135: 1
     136: q+1
     137: 1
     138: 1
     139: 1
     140: q+1
     141: 1
     142: q+1
     143: q+1
     144: 1
     145: 1
     146: 1
     147: q+1
     148: q+1
     149: q+1
     150: 1
     152: 1
     154: 1
     156: q+1
     157: 1
     158: q+1
     159: 1
     160: 1
     161: 1
     162: 1
     163: q+1
     164: 1
     165: q+1
     166: q+1
     167: 1
     168: q+1
     169: 1
     170: 1
     171: 2
     172: 1
     173: 2
     174: 1
     175: 1
     176: 1
     177: q+1
     178: q+1
     179: q+1
     180: q+1
     181: q+1
     182: 1
     183: 1
     185: 1
     187: 1
     189: 1
     190: 1
     191: q+1
     192: 1
     193: 1
     194: 1
     195: q+1
     196: 1
     197: q+1
     198: 1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 2
     207: 1
     209: 1
     211: 1
     213: 1
     215: 1
     217: q+1
     218: 1
     219: q+1
     220: 1
     221: q+1
     222: q+1
     223: 1
     224: 1
     225: 2
     230: 2
     231: 1
     232: 2
     233: 1
     234: 1
     235: 1
     236: q+1
     237: q+1
     238: 1
     239: q+1
     240: 1
     241: 1
     242: 1
     244: 1
     246: 1
     248: 1
     250: 1
     252: 1
     253: 1
     258: 1
     260: q+1
     261: 1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     267: 1
     268: 2
     270: 1
     272: 1
     274: 1
     275: 1
     282: q+1
     283: 1
     284: q+1
     285: 1
     286: q+1
     287: 1
     288: 1
     289: 1
     290: 1
     291: 1
     292: 1
     293: 2
     294: 2
     295: 1
     296: 2
     297: 1
     298: 1
     299: 1
     300: 1
     301: 1
     302: 1
     303: 1
     306: 1
     308: 1
     310: 1
     316: 1
     318: 1
     320: 1
     321: 1
     325: 1
     326: 1
     327: 2
     329: 1
     331: 1
     333: 1
     335: 1
     336: 1
     337: 1
     338: 1
     345: 1
     347: 1
     350: 2
     351: q+1
     352: 1
     353: 1
     354: 1
     356: 1
     357: 1
     358: 1
     359: 1
     360: 1
     361: 1
     362: 1
     363: 1
     364: 1
     367: 1
     369: 1
     371: 1
     379: 1
     380: 1
     383: 1
     385: 1
     399: 1
     402: 1
     403: 1
     404: 1
     406: 1
     411: 1
     412: 1
     414: 1
     415: 1
     416: 1
     417: 1
     418: 1
     420: 1
     421: 1
     422: 1
     423: 1
     428: 1
     442: 1
     446: 1
     460: 1
     462: 1
     464: 1
     469: 1
     471: 1
     472: 1
     473: 1
     475: 1
     499: 1
     512: 1
     518: 1
     520: 1
     552: 1

553:   0: 2q+1
       1: 2q+1
       2: 2q+1
       3: q+1
       4: 2q+1
       5: q+1
       6: q+1
       7: 2q+1
       8: 2q+1
       9: q+1
      10: 1
      11: q+1
      12: q+1
      13: q+1
      14: 1
      15: q^4+q+1
      16: q+1
      17: 1
      18: q^4+q+1
      19: q^4+q+1
      20: q+1
      21: 1
      22: q+1
      23: 1
      24: q+1
      25: q+1
      26: 2q+1
      27: q+1
      28: 2q+1
      29: q+1
      30: 1
      31: q^4+q+1
      32: 2q+1
      33: 2q+1
      34: q+1
      35: 1
      36: q+1
      37: q^4+q+1
      38: q+1
      39: q+1
      40: q+1
      41: 1
      42: q+1
      43: q+1
      44: 2q+1
      45: 2q+1
      46: 2q+1
      47: q+1
      48: 1
      49: q+1
      50: 1
      51: q+1
      52: q+1
      53: q+1
      54: q+1
      55: 2q+1
      56: 2q+1
      57: q+1
      58: 1
      59: q+1
      60: q+1
      61: 1
      62: q+1
      63: 2q+1
      64: 2q+1
      65: q+1
      66: q+1
      67: 1
      68: q^4+q+1
      69: q+1
      70: q+1
      71: q+1
      72: 1
      73: q+1
      74: q+1
      75: 1
      76: 1
      77: q+1
      78: 1
      79: q+1
      80: q+1
      81: q+1
      82: 1
      83: q+1
      84: q+1
      85: 1
      86: q+1
      87: q+1
      88: q+1
      89: 1
      90: q+1
      91: 1
      92: q+1
      93: 1
      94: 1
      95: 1
      96: q+1
      97: 2q+1
      98: 1
      99: q+1
     100: q+1
     101: q+1
     102: 1
     104: 1
     106: 1
     108: q+1
     109: q+1
     110: 1
     111: 1
     112: q+1
     113: q+1
     114: 1
     115: 1
     116: q+1
     117: 1
     118: q+1
     119: q+1
     120: q+1
     121: 1
     122: q+1
     123: q+1
     124: q+1
     125: q+1
     126: q+1
     127: 1
     128: q+1
     129: q+1
     130: 1
     132: 1
     134: 1
     135: q+1
     136: 1
     137: q+1
     138: 1
     139: 1
     140: 1
     141: q+1
     142: q+1
     143: q+1
     144: 1
     145: 1
     146: 1
     147: q+1
     148: q+1
     149: q+1
     150: 1
     152: 1
     154: 1
     156: 1
     157: q+1
     158: 1
     159: q+1
     160: 1
     161: 1
     162: 1
     163: q+1
     164: 1
     165: 1
     166: 1
     167: q+1
     168: 1
     169: q+1
     170: q+1
     171: 2
     172: 1
     173: 2
     174: 1
     175: 1
     176: 1
     177: q+1
     178: q+1
     179: q+1
     180: 1
     181: q+1
     182: q+1
     183: 1
     185: 1
     187: 1
     189: 1
     190: 1
     191: 1
     192: q+1
     193: 1
     194: 1
     195: 1
     196: q+1
     197: 1
     198: q+1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 2
     207: 1
     209: 1
     211: 1
     213: 1
     215: 1
     217: 1
     218: q+1
     219: 1
     220: q+1
     221: q+1
     222: q+1
     223: 1
     224: 1
     225: 2
     230: 2
     231: 1
     232: 2
     233: 1
     234: 1
     235: 1
     236: 1
     237: 1
     238: q+1
     239: 1
     240: q+1
     241: q+1
     242: 1
     244: 1
     246: 1
     248: 1
     250: 1
     252: 1
     253: 1
     258: 1
     260: 1
     261: q+1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     267: 1
     268: 2
     270: 1
     272: 1
     274: 1
     275: 1
     282: 1
     283: q+1
     284: 1
     285: q+1
     286: 1
     287: q+1
     288: 1
     289: 1
     290: 1
     291: 1
     292: 1
     293: 2
     294: 2
     295: 1
     296: 2
     297: 1
     298: 1
     299: 1
     300: 1
     302: 1
     304: 1
     305: 1
     306: 1
     308: 1
     310: 1
     316: 1
     318: 1
     320: 1
     321: 1
     325: 1
     326: 1
     327: 2
     329: 1
     331: 1
     333: 1
     335: 1
     336: 1
     337: 1
     338: 1
     346: 1
     348: 1
     350: 2
     351: 1
     352: q+1
     353: 1
     354: 1
     356: 1
     357: 1
     358: 1
     359: 1
     360: 1
     361: 1
     363: 1
     365: 1
     366: 1
     367: 1
     369: 1
     371: 1
     379: 1
     380: 1
     383: 1
     385: 1
     400: 1
     402: 1
     403: 1
     405: 1
     407: 1
     411: 1
     412: 1
     414: 1
     415: 1
     416: 1
     417: 1
     419: 1
     420: 1
     422: 1
     424: 1
     425: 1
     428: 1
     442: 1
     446: 1
     461: 1
     463: 1
     465: 1
     469: 1
     471: 1
     472: 1
     474: 1
     476: 1
     499: 1
     513: 1
     519: 1
     521: 1
     553: 1

554:   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: q+1
      12: 1
      13: q+1
      14: 1
      15: q+1
      16: 1
      17: 1
      18: 1
      19: 1
      20: q+1
      21: q+1
      22: q+1
      23: 1
      24: q+1
      25: 1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      30: 1
      31: 1
      32: q+1
      33: q+1
      34: 1
      35: 1
      36: 1
      37: 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^2+q+1
      47: q+1
      48: 1
      49: 1
      50: q+1
      51: q+1
      52: q+1
      53: q+1
      54: q+1
      55: q+1
      56: q+1
      57: q+1
      58: q+1
      59: q+1
      60: q+1
      61: 1
      62: 1
      63: q+1
      64: q+1
      65: 1
      66: 1
      67: 1
      68: 1
      69: q+1
      70: 1
      71: q+1
      72: 1
      73: 1
      74: 1
      75: q+1
      76: q+1
      77: q^2+q+1
      78: q+1
      79: q+1
      80: q+1
      81: q+1
      82: q+1
      83: q+1
      84: q+1
      85: 1
      86: 1
      87: 1
      88: 1
      89: q+1
      90: q+1
      91: 1
      92: 1
      93: q+1
      94: 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
     104: q+1
     106: q+1
     108: q+1
     109: q+1
     110: 1
     111: 1
     112: 1
     113: 1
     114: q+1
     115: 1
     116: q+1
     117: 1
     118: q+1
     119: 1
     120: q+1
     121: 1
     122: 1
     123: 1
     124: q+1
     125: 1
     126: q+1
     127: 1
     128: 1
     129: 1
     130: q+1
     132: q+1
     134: 1
     135: 1
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: 1
     144: q+1
     145: q+1
     146: q+1
     147: q+1
     148: 1
     149: 1
     150: q+1
     152: 1
     154: 1
     156: 1
     157: 1
     158: q+1
     159: q+1
     160: q+1
     161: q+1
     162: 1
     163: q+1
     164: 1
     165: q+1
     166: 1
     167: q+1
     168: 1
     169: 1
     170: 1
     171: q+1
     172: 1
     173: q+1
     174: 1
     175: 1
     176: 1
     177: q+1
     178: 1
     179: q+1
     180: 1
     181: 1
     182: 1
     183: 1
     185: 1
     187: q+1
     189: 1
     190: 1
     191: 1
     192: 1
     193: 1
     194: q+1
     195: 1
     196: 1
     197: 1
     198: 1
     199: 1
     200: q+1
     201: 1
     202: 1
     203: 1
     204: 1
     205: q+1
     207: 1
     209: 1
     211: q+1
     213: 1
     215: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     223: q+1
     224: q+1
     225: q+1
     226: q+1
     227: 1
     228: q+1
     229: 1
     230: q+1
     231: 1
     232: q+1
     233: 1
     234: 1
     235: 1
     236: q+1
     237: 1
     238: q+1
     239: 1
     240: 1
     241: 1
     242: 1
     244: 1
     246: 1
     248: 1
     250: 1
     252: q+1
     256: 1
     257: 1
     258: 1
     259: q+1
     260: 1
     261: 1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     267: 1
     268: q+1
     270: 1
     272: 1
     274: 1
     275: 1
     276: q+1
     278: 1
     280: 1
     282: 1
     283: 1
     284: 1
     285: 1
     286: 1
     287: 1
     288: 1
     289: q+1
     290: q+1
     291: 1
     292: 1
     293: q+1
     294: 1
     295: 1
     296: 1
     298: 1
     300: q+1
     301: 1
     302: q+1
     303: 1
     304: 1
     305: 1
     306: 1
     308: 1
     310: 1
     312: 1
     314: 1
     316: 1
     318: 1
     320: q+1
     324: 1
     327: 1
     329: 1
     333: 1
     334: 1
     335: 1
     336: 1
     337: 1
     338: 1
     339: q+1
     341: 1
     343: 1
     345: 1
     346: 1
     347: 1
     348: 1
     349: 1
     350: 1
     351: 1
     352: 1
     353: 1
     354: 1
     355: q+1
     356: 1
     357: 1
     358: q+1
     359: 1
     360: 1
     361: 1
     362: 1
     363: 1
     365: 1
     369: 1
     371: 1
     373: 1
     375: 1
     377: 1
     379: 1
     383: 1
     385: 1
     387: q+1
     391: 1
     393: 1
     395: 1
     401: 1
     404: 1
     405: 1
     406: 1
     407: 1
     408: 1
     409: 1
     410: 1
     411: 1
     412: 1
     413: 1
     414: 1
     415: 1
     416: 1
     417: 1
     418: 1
     419: 1
     420: 1
     421: 1
     422: 1
     424: 1
     430: 1
     432: 1
     434: 1
     438: 1
     442: 1
     444: 1
     446: 1
     448: 1
     450: 1
     452: 1
     454: 1
     456: 1
     462: 1
     463: 1
     466: 1
     467: 1
     468: 1
     469: 1
     470: 1
     473: 1
     474: 1
     475: 1
     476: 1
     477: 1
     487: 1
     491: 1
     495: 1
     501: 1
     503: 1
     505: 1
     507: 1
     509: 1
     514: 1
     515: 1
     520: 1
     521: 1
     522: 1
     532: 1
     542: 1
     544: 1
     546: 1
     554: 1

555:   0: q^2+2q
       1: q^2+2q
       2: 2q^3+2q^2+2q
       3: q^2+2q
       4: q^2+2q
       5: q^2+2q
       6: q^2+2q
       7: q^2+2q
       8: 2q^3+2q^2+2q
       9: q^2+2q
      10: q^2+2q
      11: q^2+2q
      12: q
      13: q^2+2q
      14: q
      15: q^2+2q
      16: q
      17: q
      18: q
      19: q
      20: q^2+2q
      21: q^2+2q
      22: q^2+2q
      23: q
      24: q^2+2q
      25: q
      26: q^2+2q
      27: q^2+2q
      28: q^2+2q
      29: q^2+2q
      30: q
      31: q
      32: q^2+2q
      33: q^2+2q
      34: q
      35: q
      36: q
      37: q
      38: q^2+2q
      39: q^2+2q
      40: q^2+2q
      41: q^2+2q
      42: q^2+2q
      43: q^2+2q
      44: q^2+2q
      45: q^2+2q
      46: 2q^3+2q^2+2q
      47: q^2+2q
      48: q
      49: q
      50: q^2+2q
      51: q^2+2q
      52: q^2+2q
      53: q^2+2q
      54: q^2+2q
      55: q^2+2q
      56: q^2+2q
      57: q^2+2q
      58: q^2+2q
      59: q^2+2q
      60: q^2+2q
      61: q
      62: q
      63: q^2+2q
      64: q^2+2q
      65: q
      66: q
      67: q
      68: q
      69: q^2+2q
      70: q
      71: q^2+2q
      72: q
      73: q
      74: q
      75: q^2+2q
      76: q^2+2q
      77: 2q^3+2q^2+2q
      78: q^2+2q
      79: q^2+2q
      80: q^2+2q
      81: q^2+2q
      82: q^2+2q
      83: q^2+2q
      84: q^2+2q
      85: q
      86: q
      87: q
      88: q
      89: q^2+2q
      90: q^2+2q
      91: q
      92: q
      93: q^2+2q
      94: q^2+2q
      95: q^2+2q
      96: q^2+2q
      97: q^2+2q
      98: q^2+2q
      99: q^2+2q
     100: q^2+2q
     101: q^2+2q
     102: q^2+2q
     104: q^2+2q
     106: q^2+2q
     108: q^2+2q
     109: q^2+2q
     110: q
     111: q
     112: q
     113: q
     114: q
     116: q
     118: q^2+2q
     119: q
     120: q^2+2q
     121: q
     122: q
     123: q
     124: q^2+2q
     125: q
     126: q^2+2q
     127: q
     128: q
     129: q
     130: q^2+2q
     132: q^2+2q
     134: q
     135: q
     136: q
     137: q
     140: q
     141: q
     142: q
     143: q
     144: q
     145: q^2+2q
     146: q^2+2q
     147: q^2+2q
     148: q
     149: q
     150: q
     156: q
     157: q
     158: q^2+2q
     159: q^2+2q
     160: q^2+2q
     161: q
     163: q
     165: q^2+2q
     166: q
     167: q^2+2q
     168: q
     169: q
     170: q
     171: q^2+2q
     172: q
     173: q^2+2q
     174: q
     175: q
     176: q
     177: q^2+2q
     178: q
     179: q^2+2q
     180: q
     181: q
     182: q
     187: q^2+2q
     191: q
     192: q
     194: q
     195: q
     196: q
     197: q
     198: q
     200: q^2+2q
     201: q
     202: q
     203: q
     204: q
     205: q
     211: q
     217: q
     218: q
     219: q
     220: q
     221: q
     222: q
     223: q^2+2q
     224: q
     225: q^2+2q
     226: q
     228: q
     230: q^2+2q
     231: q
     232: q^2+2q
     233: q
     234: q
     235: q
     236: q^2+2q
     237: q
     238: q^2+2q
     239: q
     240: q
     241: q
     252: q
     259: q
     260: q
     261: q
     264: q
     265: q
     266: q
     267: q
     268: q
     274: q
     275: q
     276: q
     282: q
     283: q
     284: q
     285: q
     286: q
     287: q
     289: q
     290: q^2+2q
     291: q
     292: q
     293: q^2+2q
     294: 1
     295: 1
     296: 1
     298: 1
     300: q^2+2q
     301: q
     302: q^2+2q
     303: q
     304: q
     305: q
     320: q
     327: 1
     329: 1
     335: 1
     336: 1
     337: q
     338: q
     339: q
     345: q
     346: q
     347: q
     348: q
     350: 1
     351: q
     352: q
     355: q
     356: q
     357: q
     358: q^2+2q
     359: q
     360: q
     361: 1
     362: 1
     363: 1
     365: 1
     369: 1
     380: 1
     387: q
     393: 1
     395: 1
     404: 1
     405: 1
     406: q
     407: q
     410: 1
     411: 1
     414: q
     415: q
     416: 1
     417: 1
     418: q
     419: q
     420: 1
     421: 1
     422: 1
     424: 1
     430: 1
     435: 1
     439: 1
     446: 1
     452: 1
     454: 1
     456: 1
     462: 1
     463: 1
     468: 1
     469: 1
     473: 1
     474: 1
     475: q
     476: q
     478: 1
     487: 1
     492: 1
     496: 1
     503: 1
     509: 1
     514: 1
     520: 1
     521: 1
     523: 1
     533: 1
     542: 1
     544: 1
     555: 1

556:   0: q^3+2q^2+q
       1: q^3+2q^2+q
       2: q^4+2q^3+2q^2+q
       3: q^3+2q^2+q
       4: q^3+2q^2+q
       5: q^2+q
       6: q^3+2q^2+q
       7: q^3+2q^2+q
       8: q^4+2q^3+2q^2+q
       9: q^3+2q^2+q
      10: q^4+q^3+q^2+q
      11: q^2+q
      12: q^4+q^3+q^2+q
      13: q^3+2q^2+q
      14: q^3+q
      15: q^4+q^3+q^2+q
      16: q^4+q^3+q^2+q
      17: q^3+q
      18: q^3+q
      19: q^3+q
      20: q^2+q
      21: q^3+q^2+q
      22: q^2+q
      23: q^3+q
      24: q^3+q^2+q
      25: q^3+q
      26: q^3+2q^2+q
      27: q^3+2q^2+q
      28: q^3+2q^2+q
      29: q^3+2q^2+q
      30: q^3+q
      31: q^3+q
      32: q^3+2q^2+q
      33: q^3+2q^2+q
      34: q^3+q^2+q
      35: q^3+q
      36: q^3+q^2+q
      37: q^3+q
      38: 2q^2+q
      39: 2q^2+q
      40: 2q^2+q
      41: q^2+q
      42: 2q^2+q
      43: q^2+q
      44: q^3+2q^2+q
      45: q^3+2q^2+q
      46: q^4+2q^3+2q^2+q
      47: q^2+q
      48: q^3+q
      49: q^3+q
      50: q^2+q
      51: q^2+q
      52: 2q^2+q
      53: 2q^2+q
      54: q^2+q
      55: q^3+2q^2+q
      56: q^3+2q^2+q
      57: q^2+q
      58: q^3+q^2+q
      59: q^2+q
      60: q^3+q^2+q
      61: q^3+q
      62: q^3+q
      63: q^3+2q^2+q
      64: q^3+2q^2+q
      65: q^3+q^2+q
      66: q^3+q^2+q
      67: q^3+q
      68: q^3+q
      69: 2q^2+q
      70: q^2+q
      71: 2q^2+q
      72: q
      73: q^2+q
      74: q
      75: 3q^2+q
      76: 3q^2+q
      77: q^4+2q^3+2q^2+q
      78: q^3+2q^2+q
      79: 2q^2+q
      80: 2q^2+q
      81: 2q^2+q
      82: q^2+q
      83: 2q^2+q
      84: q^2+q
      85: q^3+q
      86: q^3+q
      87: q^2+q
      88: q^2+q
      89: q^2+q
      90: q^2+q
      91: q
      92: q
      93: 2q^2+q
      94: 2q^2+q
      95: 3q^2+q
      96: q^2+q
      97: q^3+2q^2+q
      98: q^2+q
      99: q^2+q
     100: 2q^2+q
     101: 2q^2+q
     102: 2q^2+q
     103: q^2
     104: 2q^2+q
     105: q^2
     106: q^2+q
     107: q^3+q^2
     108: q^2+q
     109: q^2+q
     110: q
     111: q
     112: q
     113: q
     114: 3q^2+q
     115: 3q^2+q
     116: q^3+2q^2+q
     117: q^2+q
     118: 2q^2+q
     119: q^2+q
     120: 2q^2+q
     121: q
     122: q^2+q
     123: q
     124: 2q^2+q
     125: q^2+q
     126: 2q^2+q
     127: q
     128: q^2+q
     129: q
     130: q^2+q
     131: q^2
     132: 2q^2+q
     133: q^2
     134: q
     135: q
     136: q
     137: q
     138: 2q^2+q
     139: q^2+q
     140: q
     141: q
     142: q^2+q
     143: q^2+q
     144: 2q^2+q
     145: 2q^2+q
     146: 2q^2+q
     147: q^2+q
     148: q^2+q
     149: q^2+q
     150: 2q^2+q
     151: q^2
     152: q^2+q
     153: 2q^2
     154: q
     155: q^2
     156: q
     157: q
     158: q^2+q
     159: q^2+q
     160: 2q^2+q
     161: 3q^2+q
     162: 3q^2+q
     163: q^3+2q^2+q
     164: q^2+q
     165: q^2+q
     166: q
     167: q^2+q
     168: q
     169: q
     170: q
     171: q^2+q
     172: q
     173: q^2+q
     174: q
     175: q
     176: q
     177: 2q^2+q
     178: q^2+q
     179: 2q^2+q
     180: q
     181: q^2+q
     182: q
     183: q^2+q
     184: q^2
     185: q
     186: q^2
     187: q^2+q
     188: q^2
     189: q^2+q
     190: 2q^2+q
     191: q
     192: q
     193: q
     194: 2q^2+q
     195: q
     196: q
     197: q
     198: q
     199: q^2+q
     200: q^2+q
     201: q
     202: q
     203: q
     204: q
     205: q^2+q
     207: q
     208: q^2
     209: q
     211: 2q^2+q
     212: q^2
     213: q^2+q
     214: 2q^2
     215: q
     216: q^2
     217: q
     218: q
     219: q
     220: q
     221: q^2+q
     222: q^2+q
     223: 2q^2+q
     224: 2q^2+q
     225: q^2+q
     226: 2q^2+2q
     227: 2q
     228: q^2+q
     229: 2q
     230: q^2+q
     231: q
     232: q^2+q
     233: q
     234: q
     235: q
     236: q^2+q
     237: q
     238: q^2+q
     239: q
     240: q
     241: q
     242: q
     244: q
     246: q
     247: q^2
     248: q^2+q
     249: q^2
     250: q
     252: q^2+q
     256: 2q
     257: 2q
     258: q
     259: q^2+q
     260: q
     261: q
     262: q^2+q
     263: q
     264: q
     265: q
     266: q
     267: q
     268: q^2+q
     270: q
     271: q^2
     272: q
     274: q
     275: q
     276: q^2+q
     277: q^2+q
     278: q
     279: q
     280: q
     281: q
     282: q
     283: q
     284: q
     285: q
     286: q
     287: q
     288: q^2+q
     289: 2q^2+q
     290: q^2+q
     291: q
     292: q
     293: q^2+q
     306: q
     308: q
     310: q
     312: q
     313: q
     314: q
     315: q
     316: q
     318: q
     320: q^2+q
     324: 2q
     333: q
     334: q
     337: q
     338: q
     342: q
     344: q
     349: q
     351: q
     352: q
     353: q^2+q
     354: q
     355: q^2+q
     356: q
     357: q
     359: q
     360: q
     371: q
     376: q
     377: q
     378: q
     383: q
     385: q
     391: q
     396: q
     401: q
     409: q
     412: q
     413: q
     414: q
     415: q
     442: q
     450: q
     457: q
     467: 1
     470: q
     493: 1
     507: 1
     515: 1
     524: 1
     534: 1
     546: 1
     556: 1

557:   0: q^2+q
       1: q^2+q
       2: q^3+q^2+q
       3: q^3+2q^2+q
       4: q^2+q
       5: q^2+q
       6: q^3+2q^2+q
       7: q^2+q
       8: q^3+q^2+q
       9: q^3+2q^2+q
      10: q^3+2q^2+q
      11: q^2+q
      12: q^2+q
      13: q^3+2q^2+q
      14: q^2+q
      15: q^3+2q^2+q
      16: q^2+q
      17: q^2+q
      18: q^2+q
      19: q^2+q
      20: q^2+q
      21: q^3+2q^2+q
      22: q^2+q
      23: q^2+q
      24: q^3+2q^2+q
      25: q^2+q
      26: q^2+q
      27: q^3+2q^2+q
      28: q^2+q
      29: q^3+2q^2+q
      30: q^2+q
      31: q^2+q
      32: q^2+q
      33: q^2+q
      34: q^2+q
      35: q^2+q
      36: q^2+q
      37: q^2+q
      38: q^2+q
      39: q^2+q
      40: q^2+q
      41: q^2+q
      42: q^2+q
      43: q^2+q
      44: q^2+q
      45: q^2+q
      46: q^3+q^2+q
      47: q^2+q
      48: q^2+q
      49: q^2+q
      50: q^2+q
      51: q^2+q
      52: q^2+q
      53: q^2+q
      54: q^2+q
      55: q^2+q
      56: q^2+q
      57: q^2+q
      58: q^3+2q^2+q
      59: q^2+q
      60: q^3+2q^2+q
      61: q^2+q
      62: q^2+q
      63: q^2+q
      64: q^2+q
      65: q^2+q
      66: q^2+q
      67: q^2+q
      68: q^2+q
      69: q^2+q
      70: q
      71: q^2+q
      72: q
      73: q
      74: q
      75: 2q^2+2q
      76: 2q^2+2q
      77: q^3+q^2+q
      78: 2q^2+2q
      79: q^2+q
      80: q^2+q
      81: q^2+q
      82: q^2+q
      83: q^2+q
      84: q^2+q
      85: q^2+q
      86: q^2+q
      87: q
      88: q
      89: q^2+q
      90: q^2+q
      91: q
      92: q
      93: q^2+q
      94: 2q^2+2q
      95: 2q^2+2q
      96: q^2+q
      97: q^2+q
      98: q^2+q
      99: q^2+q
     100: q^2+q
     101: q^2+q
     102: q^2+q
     103: q^2+q
     104: q^2+q
     105: q^2+q
     106: q^2+q
     107: q^2+q
     108: q^2+q
     109: q^2+q
     110: q^2+q
     111: q^2+q
     112: q^2+q
     113: q^2+q
     114: 2q^2+2q
     115: 2q
     116: q^2+q
     117: 2q
     118: q^2+q
     119: q
     120: q^2+q
     121: q
     122: q
     123: q
     124: q^2+q
     125: q
     126: q^2+q
     127: q
     128: q
     129: q
     130: q^2+q
     131: q^2+q
     132: q^2+q
     133: q^2+q
     134: q^2+q
     135: q^2+q
     136: q
     137: q
     138: 2q
     139: 2q
     140: q
     141: q
     142: q
     143: q
     144: q^2+q
     145: q^2+q
     146: 2q^2+2q
     147: q^2+q
     148: q
     149: q
     150: q^2+q
     151: q^2+q
     152: q
     153: q
     154: q
     155: q
     156: q
     157: q
     158: q^2+q
     159: q^2+q
     160: q^2+q
     161: 2q^2+2q
     162: 2q
     163: q^2+q
     164: 2q
     165: q^2+q
     166: q
     167: q^2+q
     168: q
     169: q
     170: q
     172: q
     174: q
     175: q
     176: q
     177: q^2+q
     178: q
     179: q^2+q
     180: q
     181: q
     182: q
     183: q
     184: q
     185: q
     186: q
     187: q^2+q
     188: q^2+q
     189: 2q
     190: 2q
     191: q
     192: q
     193: 2q
     194: q^2+q
     195: q
     196: q
     197: q
     198: q
     199: q
     200: q^2+q
     203: q
     204: q
     207: q
     209: q
     211: q^2+q
     212: q^2+q
     213: q
     214: q
     215: q
     216: q
     217: q
     218: q
     219: q
     220: q
     221: q
     222: q
     223: q^2+q
     224: q^2+q
     226: 2q^2+2q
     227: 2q
     228: q^2+q
     229: 2q
     231: q
     233: q
     234: q
     235: q
     236: q^2+q
     237: q
     238: q^2+q
     239: q
     240: q
     241: q
     244: q
     246: q
     247: q
     248: q
     249: q
     250: q
     251: q
     256: 2q
     257: 2q
     258: 2q
     259: q^2+q
     260: q
     261: q
     262: q
     263: q
     266: q
     267: q
     270: q
     272: q
     276: q^2+q
     277: q^2+q
     278: q
     279: q
     280: q
     281: q
     282: q
     283: q
     284: q
     285: q
     286: q
     287: q
     288: q
     289: q^2+q
     290: q^2+q
     295: q
     298: q
     301: q
     303: q
     304: q
     305: q
     310: q
     312: q
     313: q
     314: q
     315: q
     316: q
     317: q
     324: 2q
     329: q
     333: q
     334: q
     341: q
     343: q
     345: q
     346: q
     349: 1
     351: q
     352: q
     353: q
     354: q
     355: q^2+q
     362: q
     365: q
     375: q
     377: q
     378: q
     392: 1
     395: q
     401: q
     408: 1
     409: 1
     410: 1
     412: q
     413: q
     421: q
     424: q
     434: 1
     449: 1
     451: 1
     453: 1
     456: q
     466: 1
     467: 1
     468: 1
     470: q
     480: 1
     491: 1
     506: 1
     508: 1
     510: 1
     514: 1
     515: 1
     525: 1
     532: 1
     545: 1
     547: 1
     557: 1

558:   0: 2q^2
       1: 2q^2
       2: q^3+2q^2
       3: 2q^3+2q^2
       4: 2q^2
       5: 2q^2
       6: 2q^3+2q^2
       7: 2q^2
       8: q^3+2q^2
       9: 2q^3+2q^2
      10: 2q^3+2q^2
      11: 2q^2
      12: q^3+q^2
      13: 2q^3+2q^2
      14: q^3+q^2
      15: 2q^3+2q^2
      16: q^3+q^2
      17: q^3+q^2
      18: q^3+q^2
      19: q^3+q^2
      20: 2q^2
      21: 2q^3+2q^2
      22: 2q^2
      23: q^3+q^2
      24: 2q^3+2q^2
      25: q^3+q^2
      26: 2q^2
      27: 2q^3+2q^2
      28: 2q^2
      29: 2q^3+2q^2
      30: q^3+q^2
      31: q^3+q^2
      32: 2q^2
      33: 2q^2
      34: q^3+q^2
      35: q^3+q^2
      36: q^3+q^2
      37: q^3+q^2
      38: 2q^2
      39: 2q^2
      40: 2q^2
      41: 2q^2
      42: 2q^2
      43: 2q^2
      44: 2q^2
      45: 2q^2
      46: q^3+2q^2
      47: 2q^2
      48: q^3+q^2
      49: q^3+q^2
      50: 2q^2
      51: 2q^2
      52: 2q^2
      53: 2q^2
      54: 2q^2
      55: 2q^2
      56: 2q^2
      57: 2q^2
      58: 2q^3+2q^2
      59: 2q^2
      60: 2q^3+2q^2
      61: q^3+q^2
      62: q^3+q^2
      63: 2q^2
      64: 2q^2
      65: q^3+q^2
      66: q^3+q^2
      67: q^3+q^2
      68: q^3+q^2
      69: 2q^2
      70: q^2
      71: 2q^2
      72: q^2
      73: q^2
      74: q^2
      75: 3q^2
      76: 3q^2
      77: q^2
      78: 3q^2
      79: 2q^2
      80: 2q^2
      81: 2q^2
      82: 2q^2
      83: 2q^2
      84: 2q^2
      85: q^3+q^2
      86: q^3+q^2
      87: q^2
      88: q^2
      89: 2q^2
      90: 2q^2
      91: q^2
      92: q^2
      93: q^2
      94: 3q^2
      95: 3q^2
      96: 2q^2
      97: 2q^2
      98: 2q^2
      99: 2q^2
     100: 2q^2
     101: 2q^2
     102: 2q^2
     103: q^2
     104: 2q^2
     105: q^2
     106: 2q^2
     107: q^2
     108: 2q^2
     109: 2q^2
     110: q^3+q^2
     111: q^3+q^2
     112: q^3+q^2
     113: q^3+q^2
     114: q^2
     118: 2q^2
     119: q^2
     120: 2q^2
     121: q^2
     122: q^2
     123: q^2
     124: 2q^2
     125: q^2
     126: 2q^2
     127: q^2
     128: q^2
     129: q^2
     130: 2q^2
     131: q^2
     132: 2q^2
     133: q^2
     134: q^3+q^2
     135: q^3+q^2
     136: q^2
     137: q^2
     140: q^2
     141: q^2
     142: q^2
     143: q^2
     145: q^2
     146: 3q^2
     147: 2q^2
     148: q^2
     149: q^2
     150: q^2
     156: q^2
     157: q^2
     158: 2q^2
     159: 2q^2
     160: q^2
     161: q^2
     165: 2q^2
     166: q^2
     167: 2q^2
     168: q^2
     169: q^2
     170: q^2
     172: q^2
     174: q^2
     175: q^2
     176: q^2
     177: 2q^2
     178: q^2
     179: 2q^2
     180: q^2
     181: q^2
     182: q^2
     187: 2q^2
     188: q^2
     191: q^2
     192: q^2
     195: q^2
     196: q^2
     197: q^2
     198: q^2
     200: q^2
     203: q^2
     204: q^2
     211: q^2
     217: q^2
     218: q^2
     219: q^2
     220: q^2
     221: q^2
     222: q^2
     223: q^2
     226: q^2
     231: q^2
     233: q^2
     234: q^2
     235: q^2
     236: 2q^2
     237: q^2
     238: 2q^2
     239: q^2
     240: q^2
     241: q^2
     260: q^2
     261: q^2
     266: q^2
     267: q^2
     276: q^2
     282: q^2
     283: q^2
     284: q^2
     285: q^2
     286: q^2
     287: q^2
     290: q^2
     295: q
     298: q
     301: q^2
     303: q^2
     304: q^2
     305: q^2
     329: q
     345: q^2
     346: q^2
     351: q^2
     352: q^2
     362: q
     365: q
     395: q
     410: 1
     421: q
     424: q
     435: 1
     453: 1
     456: q
     468: 1
     481: 1
     492: 1
     510: 1
     514: 1
     526: 1
     533: 1
     545: 1
     558: 1

559:   0: q^2
       1: q^2
       3: q^2
       4: q^2
       5: q^3+q^2
       6: q^2
       7: q^2
       9: q^2
      10: q^3+q^2
      11: q^3+q^2
      12: q^3+q^2
      13: q^2
      14: q^2
      15: q^3+q^2
      16: q^3+q^2
      17: q^2
      18: q^2
      19: q^2
      20: q^2
      21: q^2
      22: q^2
      23: q^2
      24: q^2
      25: q^2
      26: q^2
      27: q^2
      28: q^2
      29: q^2
      30: q^2
      31: q^2
      34: q^2
      35: q^2
      36: q^2
      37: q^2
      38: q^2
      39: q^2
      40: q^2
      41: q^3+q^2
      42: q^2
      43: q^3+q^2
      44: q^2
      45: q^2
      47: q^3+q^2
      48: q^2
      49: q^2
      50: q^2
      51: q^2
      52: q^2
      53: q^2
      54: q^2
      55: q^2
      57: q^2
      58: q^2
      59: q^2
      60: q^2
      61: q^2
      62: q^2
      65: q^2
      66: q^2
      67: q^2
      68: q^2
      70: q^2
      72: q^2
      73: q^2
      74: q^2
      75: q^2
      76: q^2
      78: q^3+q^2
      79: q^2
      80: q^2
      81: q^2
      82: q^3+q^2
      83: q^2
      84: q^3+q^2
      85: q^2
      86: q^2
      89: q^2
      90: q^2
      91: q^2
      92: q^2
      94: q^2
      95: q^2
      96: q^2
      98: q^2
      99: q^2
     100: q^2
     101: q^2
     102: q^2
     104: q^2
     106: q^3+q^2
     114: q
     115: q^2+q
     116: q
     117: q^2
     119: q^2
     121: q^2
     122: q^2
     123: q^2
     125: q^2
     127: q^2
     128: q^2
     129: q^2
     130: q^2
     132: q^2
     138: q
     139: q^2
     140: q^2
     141: q^2
     144: q
     146: q^2
     151: q
     152: q^2
     153: q
     154: q^2
     156: q^2
     157: q^2
     158: q^2
     159: q^2
     161: q
     162: q^2+q
     163: q
     164: q^2
     172: q^2
     174: q^2
     175: q^2
     176: q^2
     178: q^2
     180: q^2
     181: q^2
     182: q^2
     184: q
     185: q^2
     187: q^2
     189: q^2
     190: q
     194: q
     199: q
     203: q^2
     204: q^2
     206: q
     207: q^2
     208: q
     209: q^2
     212: q
     213: q^2
     214: q
     215: q^2
     219: q^2
     220: q^2
     224: q
     226: q+1
     227: 1
     228: q+1
     229: 1
     231: q^2
     233: q^2
     234: q^2
     235: q^2
     243: q
     244: q^2
     246: q^2
     249: q
     254: q
     256: 1
     257: 1
     259: q+1
     262: q
     266: q^2
     267: q^2
     269: q
     270: q^2
     271: q
     272: q^2
     277: q+1
     279: 1
     281: 1
     288: q
     289: q
     307: q
     310: q^2
     313: 1
     315: 1
     319: q
     322: q
     324: 1
     334: 1
     340: q+1
     342: 1
     344: 1
     349: q
     353: q
     355: q+1
     374: 1
     376: 1
     378: 1
     384: q
     389: q+1
     392: q
     394: 1
     396: 1
     401: 1
     409: q
     413: 1
     431: 1
     433: 1
     440: 1
     445: 1
     451: q
     455: 1
     457: 1
     467: 1
     470: 1
     488: 1
     493: 1
     497: 1
     502: 1
     504: 1
     508: 1
     515: 1
     527: 1
     534: 1
     543: 1
     547: 1
     559: 1

560:   5: q^4
      10: q^4
      11: q^4
      15: q^4
      41: q^4
      43: q^4
      47: q^4
      78: q^4
      82: q^4
      84: q^4
     106: q^4
     226: q
     228: q
     259: q
     277: q
     340: q
     355: q
     389: q
     394: 1
     396: 1
     431: 1
     441: 1
     455: 1
     457: 1
     488: 1
     494: 1
     498: 1
     504: 1
     528: 1
     535: 1
     543: 1
     560: 1

561:  10: q^5
      15: q^5
      78: q^4
     107: q^4
     226: q^2
     277: q^2
     396: q
     457: q
     494: 1
     529: 1
     535: 1
     561: 1

562:   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: 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
      49: q+1
      50: q+1
      51: q+1
      52: q+1
      53: q+1
      54: 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: q+1
      65: q+1
      66: 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
      77: q+1
      78: q+1
      79: 1
      80: 1
      81: 1
      82: 1
      83: 1
      84: 1
      85: q+1
      86: q+1
      87: q+1
      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: q+1
      97: q+1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     106: 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: q+1
     117: q+1
     118: q+1
     119: q+1
     120: q+1
     121: q+1
     122: q+1
     123: q+1
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     132: 1
     134: q+1
     135: q+1
     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: q+1
     146: q+1
     147: q+1
     148: 1
     149: 1
     150: 1
     152: 1
     154: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     161: q+1
     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: q+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
     185: 1
     187: 1
     189: q+1
     190: q+1
     191: q+1
     192: q+1
     193: q+1
     194: q+1
     195: q+1
     196: q+1
     197: q+1
     198: q+1
     199: q+1
     200: q+1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     207: 1
     209: 1
     211: 1
     213: 1
     215: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     223: 1
     224: 1
     225: 1
     226: q+1
     227: q+1
     228: q+1
     229: q+1
     230: 1
     231: 1
     232: 1
     233: 1
     234: 1
     235: 1
     236: 1
     237: 1
     238: 1
     239: 1
     240: 1
     241: 1
     242: 1
     244: 1
     246: 1
     248: 1
     250: 1
     252: 1
     256: q+1
     257: q+1
     258: q+1
     259: q+1
     260: q+1
     261: q+1
     262: q+1
     263: q+1
     264: 1
     265: 1
     266: 1
     267: 1
     268: 1
     270: 1
     272: 1
     274: 1
     275: 1
     276: 1
     278: 1
     280: 1
     282: 1
     283: 1
     284: 1
     285: 1
     286: 1
     287: 1
     288: 1
     289: 1
     290: 1
     293: 1
     294: 1
     295: 1
     296: 1
     297: 1
     298: 1
     299: 1
     300: 1
     301: 1
     302: 1
     303: 1
     304: 1
     305: 1
     306: 1
     308: 1
     310: 1
     312: 1
     314: 1
     316: 1
     320: 1
     324: q+1
     325: 1
     326: 1
     327: 1
     329: 1
     331: 1
     333: q+1
     334: q+1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     341: 1
     343: 1
     345: 1
     346: 1
     347: 1
     348: 1
     349: 1
     350: 1
     351: 1
     352: 1
     353: 1
     354: 1
     355: 1
     358: 1
     361: 1
     362: 1
     363: 1
     364: 1
     365: 1
     366: 1
     367: 1
     369: 1
     371: 1
     373: 1
     375: 1
     377: 1
     379: 1
     387: 1
     393: 1
     395: 1
     397: 1
     399: 1
     400: 1
     401: q+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
     420: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     426: 1
     428: 1
     430: 1
     432: 1
     434: 1
     438: 1
     454: 1
     456: 1
     458: 1
     460: 1
     461: 1
     462: 1
     463: 1
     464: 1
     465: 1
     466: 1
     467: 1
     468: 1
     469: 1
     470: 1
     485: 1
     487: 1
     489: 1
     491: 1
     495: 1
     511: 1
     512: 1
     513: 1
     514: 1
     515: 1
     530: 1
     532: 1
     548: 1
     549: 1
     562: 1

563:   0: q^3+3q^2+2q
       1: 2q^2+2q
       2: q^3+3q^2+2q
       3: q^3+3q^2+2q
       4: q^3+3q^2+2q
       5: 2q^2+2q
       6: 2q^2+2q
       7: 2q^2+2q
       8: q^3+3q^2+2q
       9: q^3+3q^2+2q
      10: 2q^2+2q
      11: 2q^2+2q
      12: 2q^2+2q
      13: 2q^2+2q
      14: 2q^2+2q
      15: 2q^2+2q
      16: 2q^2+2q
      17: q^2+q
      18: 2q^2+2q
      19: q^2+q
      20: 2q^2+2q
      21: 2q^2+2q
      22: 2q^2+2q
      23: 2q^2+2q
      24: 2q^2+2q
      25: 2q^2+2q
      26: 2q^2+2q
      27: 2q^2+2q
      28: 2q^2+2q
      29: 2q^2+2q
      30: q^2+q
      31: q^2+q
      32: q^3+3q^2+2q
      33: q^3+3q^2+2q
      34: 2q^2+2q
      35: 2q^2+2q
      36: 2q^2+2q
      37: 2q^2+2q
      38: q^3+3q^2+2q
      39: 2q^2+2q
      40: q^3+3q^2+2q
      41: 2q^2+2q
      42: 2q^2+2q
      43: 2q^2+2q
      44: 2q^2+2q
      45: q^2+2q
      46: 2q^2+2q
      47: q^2+2q
      48: 2q^2+2q
      49: 2q^2+2q
      50: 2q^2+2q
      51: 2q^2+2q
      52: 2q^2+2q
      53: 2q^2+2q
      54: q^2+2q
      55: q^2+2q
      56: 2q^2+2q
      57: 2q^2+2q
      58: 2q^2+2q
      59: 2q^2+2q
      60: 2q^2+2q
      61: q^2+q
      62: q^2+q
      63: 2q^2+2q
      64: 2q^2+2q
      65: 2q^2+2q
      66: 2q^2+2q
      67: q^2+q
      68: q^2+q
      69: q^3+3q^2+2q
      70: 2q^2+2q
      71: q^3+3q^2+2q
      72: 2q^2+2q
      73: 2q^2+2q
      74: 2q^2+2q
      75: 2q^2+2q
      76: q^2+2q
      77: 2q^2+2q
      78: q^2+2q
      79: q^2+2q
      80: 2q
      81: q^2+2q
      82: 2q
      83: 2q
      84: 2q
      85: q^2+q
      86: q^2+q
      87: 2q^2+2q
      88: 2q^2+2q
      89: 2q^2+2q
      90: 2q^2+2q
      91: 2q^2+2q
      92: 2q^2+2q
      93: 2q^2+2q
      94: q^2+2q
      95: q^2+2q
      96: q^2+2q
      97: q^2+2q
      98: 2q
      99: 2q
     100: 2q
     101: 2q
     102: q^2+2q
     104: 2q
     106: 2q
     108: 2q^2+2q
     109: 2q^2+2q
     110: 2q^2+2q
     111: q^2+q
     112: 2q^2+2q
     113: q^2+q
     114: 2q^2+2q
     115: q^2+2q
     116: 2q^2+2q
     117: q^2+2q
     118: 2q^2+2q
     119: 2q^2+2q
     120: 2q^2+2q
     121: q^2+q
     122: 2q^2+2q
     123: q^2+q
     124: q^2+2q
     125: 2q
     126: q^2+2q
     127: 2q
     128: 2q
     129: 2q
     130: 2q
     132: 2q
     134: q^2+q
     135: q^2+q
     136: 2q^2+2q
     137: 2q^2+2q
     138: q^2+2q
     139: q^2+2q
     140: q^2+q
     141: q^2+q
     142: 2q^2+2q
     143: 2q^2+2q
     144: 2q^2+2q
     145: q^2+2q
     146: q^2+2q
     147: q^2+2q
     148: 2q
     149: 2q
     150: q^2+2q
     152: 2q
     154: 2q
     156: 2q
     157: 2q
     158: 2q
     159: 2q
     160: q
     161: q
     162: q
     163: q
     165: 2q^2+2q
     166: 2q^2+2q
     167: 2q^2+2q
     168: q^2+q
     169: 2q^2+2q
     170: q^2+q
     171: q^2+2q
     172: 2q
     173: q^2+2q
     174: 2q
     175: 2q
     176: 2q
     177: 2q
     178: 2q
     179: 2q
     180: q
     181: 2q
     182: q
     183: 2q
     185: 2q
     187: 2q
     190: q
     191: q^2+q
     192: q^2+q
     193: q^2+2q
     194: q
     195: q^2+q
     196: q^2+q
     197: 2q^2+2q
     198: 2q^2+2q
     199: q^2+2q
     200: q^2+2q
     201: 2q
     202: 2q
     203: 2q
     204: 2q
     205: q^2+2q
     207: 2q
     209: 2q
     211: q
     213: q
     217: 2q
     218: 2q
     219: q
     220: q
     221: 2q
     222: 2q
     223: q
     224: q
     225: q
     226: q
     227: q
     228: q
     230: 2q
     231: 2q
     232: 2q
     233: q
     234: 2q
     235: q
     236: 2q
     237: 2q
     238: 2q
     239: q
     240: 2q
     241: q
     242: 2q
     244: 2q
     248: q
     250: 2q
     252: q
     257: q
     259: q
     260: q^2+q
     261: q^2+q
     262: q
     263: q^2+2q
     264: 2q
     265: 2q
     266: q
     267: q
     268: q
     270: q
     274: 2q
     275: 2q
     276: q
     278: q
     282: q
     283: q
     284: q
     285: q
     286: 2q
     287: 2q
     288: q
     290: q
     293: q
     294: 2q
     295: 2q
     296: 2q
     297: q
     298: 2q
     299: q
     300: 2q
     301: 2q
     302: 2q
     303: q
     304: 2q
     305: q
     306: q
     308: 2q
     314: q
     325: q
     326: q
     327: q
     329: q
     334: q
     335: 2q
     336: 2q
     337: q
     338: q
     339: q
     341: q
     345: q
     346: q
     347: 2q
     348: 2q
     349: q
     350: q
     351: q
     352: q
     354: q
     358: q
     361: 2q
     362: 2q
     363: 2q
     364: q
     365: 2q
     366: q
     369: q
     373: q
     393: q
     395: q
     399: q
     400: q
     402: q
     403: q
     404: 2q
     405: 2q
     406: q
     407: q
     408: q
     410: q
     411: q
     420: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     430: q
     454: 1
     456: 1
     458: 1
     460: 1
     461: 1
     462: 1
     463: 1
     464: q
     465: q
     468: q
     469: 1
     485: 1
     487: 1
     496: 1
     512: 1
     513: 1
     514: 1
     530: 1
     533: 1
     549: 1
     563: 1

564:   0: q^2+q
       1: q^2+q
       2: q^2+q
       3: q^2+q
       4: q^2+q
       5: q^3+q
       6: q^2+q
       7: q^2+q
       8: q^2+q
       9: q^2+q
      10: q^3+q
      11: q^3+q
      12: q^2+q
      13: q^2+q
      14: q^3+q
      15: q^3+q
      16: q^2+q
      17: q^3+q
      18: q^3+q
      19: q^3+q
      20: q
      21: q
      22: q
      23: q
      24: q
      25: q
      26: q^2+q
      27: q^2+q
      28: q^2+q
      29: q^2+q
      30: q^3+q
      31: q^3+q
      32: q^2+q
      33: q^2+q
      34: q^2+q
      35: q^3+q
      36: q^2+q
      37: q^3+q
      38: q^2+q
      39: q^2+q
      40: q^2+q
      41: q^3+q
      42: q^2+q
      43: q^3+q
      44: q^2+q
      45: q^2+q
      46: q^2+q
      47: q^3+q
      48: q
      49: q
      50: q
      51: q
      52: q^2+q
      53: q^2+q
      54: q
      55: q^2+q
      56: q^2+q
      57: q
      58: q
      59: q
      60: q
      61: q
      62: q
      63: q^2+q
      64: q^2+q
      65: q^2+q
      66: q^2+q
      67: q^3+q
      68: q^3+q
      69: q^2+q
      70: q^2+q
      71: q^2+q
      72: q^3+q
      73: q^2+q
      74: q^3+q
      75: q^2+q
      76: q^2+q
      77: q^2+q
      78: q^3+q
      79: q
      80: q
      81: q
      82: q
      83: q
      84: q
      85: q
      86: q
      87: q^2+q
      88: q^2+q
      89: q
      90: q
      91: q
      92: q
      93: q^2+q
      94: q
      95: q^2+q
      96: q
      97: q^2+q
      98: q
      99: q
     100: q
     101: q
     102: q
     104: q
     106: q
     108: q
     109: q
     110: q
     111: q
     112: q
     113: q
     114: q^2+q
     115: q^2+q
     116: q^2+q
     117: q^3+q
     118: q^2+q
     119: q^2+q
     120: q^2+q
     121: q^3+q
     122: q^2+q
     123: q^3+q
     124: q
     125: q
     126: q
     127: q
     128: q
     129: q
     130: q
     132: q
     134: q
     135: q
     136: q
     137: q
     138: q^2+q
     139: q
     140: q
     141: q
     142: q^2+q
     143: q^2+q
     144: q^2+q
     145: q^2+q
     146: q
     147: q
     148: q
     149: q
     150: q
     152: q
     154: q
     156: q
     157: q
     158: q
     159: q
     160: q
     161: q^2+q
     162: q^2+q
     163: q^2+q
     164: q^3+q
     165: q
     166: q
     167: q
     168: q
     169: q
     170: q
     171: q
     172: q
     173: q
     174: q
     175: q
     176: q
     177: q
     178: q
     179: q
     180: q
     181: q
     182: q
     183: q
     185: q
     187: q
     189: q
     190: q^2+q
     191: q
     192: q
     193: q
     194: q^2+q
     195: q
     196: q
     197: q
     198: q
     199: q^2+q
     200: q
     201: q
     202: q
     203: q
     204: q
     205: q
     207: q
     209: q
     211: q
     213: q
     215: q
     217: q
     218: q
     219: q
     220: q
     221: q
     222: q
     223: q
     224: q
     225: q
     226: q+1
     227: q+1
     228: q+1
     229: q+1
     230: q
     231: q
     232: q
     233: q
     234: q
     235: q
     242: q
     244: q
     246: q
     248: q
     250: q
     252: q
     256: q+1
     257: q+1
     258: q
     259: q+1
     260: q
     261: q
     262: q^2+q
     263: q
     264: q
     265: q
     266: q
     267: q
     268: q
     270: q
     272: q
     274: q
     275: q
     277: 1
     279: 1
     281: 1
     282: q
     283: q
     288: q
     289: q
     293: q
     294: q
     295: q
     296: q
     297: q
     298: q
     299: q
     306: q
     308: q
     310: q
     313: 1
     315: 1
     316: q
     320: q
     324: q+1
     325: q
     326: q
     327: q
     329: q
     331: q
     333: q
     334: q+1
     335: q
     336: q
     337: q
     338: q
     340: 1
     342: 1
     344: 1
     349: q
     350: q
     353: q
     355: 1
     367: q
     369: q
     371: q
     374: 1
     376: 1
     378: 1
     379: q
     389: 1
     394: 1
     396: 1
     398: 1
     401: q+1
     402: q
     403: q
     409: q
     410: q
     413: 1
     427: 1
     428: q
     431: 1
     433: 1
     434: q
     440: 1
     455: 1
     457: 1
     459: 1
     467: 1
     470: 1
     486: 1
     488: 1
     490: 1
     493: 1
     497: 1
     515: 1
     531: 1
     534: 1
     548: 1
     564: 1

565:   5: q^4
      10: q^4
      11: q^4
      14: q^4
      15: q^4
      18: q^4
      35: q^4
      37: q^4
      41: q^4
      43: q^4
      47: q^4
      72: q^4
      74: q^4
      78: q^4
     117: q^4
     226: q
     227: q
     228: q
     257: q
     259: q
     277: q
     279: q
     315: q
     334: q
     340: q
     342: q
     374: q
     394: q
     396: q
     431: q
     455: 1
     457: 1
     459: 1
     486: 1
     488: 1
     498: 1
     531: 1
     535: 1
     565: 1

566:   0: 2q^2+3q+1
       1: 3q+1
       2: q^3+3q^2+3q+1
       3: 2q^2+3q+1
       4: 2q^2+3q+1
       5: 3q+1
       6: 3q+1
       7: 3q+1
       8: q^3+3q^2+3q+1
       9: 2q^2+3q+1
      10: 3q+1
      11: 3q+1
      12: q^4+2q+1
      13: 3q+1
      14: q^4+2q+1
      15: 3q+1
      16: q^4+2q+1
      17: q^5+q^4+q+1
      18: q^4+2q+1
      19: q^5+q^4+q+1
      20: 3q+1
      21: 3q+1
      22: 3q+1
      23: q^4+2q+1
      24: 3q+1
      25: q^4+2q+1
      26: 3q+1
      27: 3q+1
      28: 3q+1
      29: 3q+1
      30: q^4+q+1
      31: q^4+q+1
      32: 2q^2+3q+1
      33: 2q^2+3q+1
      34: 2q+1
      35: 2q+1
      36: 2q+1
      37: 2q+1
      38: 2q^2+3q+1
      39: 3q+1
      40: 2q^2+3q+1
      41: 3q+1
      42: 3q+1
      43: 3q+1
      44: 2q^2+3q+1
      45: 3q+1
      46: q^3+3q^2+3q+1
      47: 3q+1
      48: 2q+1
      49: 2q+1
      50: 3q+1
      51: 3q+1
      52: 3q+1
      53: 3q+1
      54: 3q+1
      55: 3q+1
      56: 2q^2+3q+1
      57: 3q+1
      58: 3q+1
      59: 3q+1
      60: 3q+1
      61: q^4+q+1
      62: q^4+q+1
      63: 3q+1
      64: 3q+1
      65: 2q+1
      66: 2q+1
      67: q+1
      68: q+1
      69: 2q^2+3q+1
      70: 2q+1
      71: 2q^2+3q+1
      72: 2q+1
      73: 2q+1
      74: 2q+1
      75: 2q^2+3q+1
      76: 3q+1
      77: q^3+3q^2+3q+1
      78: 3q+1
      79: 2q^2+3q+1
      80: 3q+1
      81: 2q^2+3q+1
      82: 3q+1
      83: 3q+1
      84: 3q+1
      85: q+1
      86: q+1
      87: 2q+1
      88: 2q+1
      89: 3q+1
      90: 3q+1
      91: 2q+1
      92: 2q+1
      93: 2q^2+3q+1
      94: 3q+1
      95: 3q+1
      96: 3q+1
      97: 3q+1
      98: 3q+1
      99: 3q+1
     100: 3q+1
     101: 3q+1
     102: 2q^2+3q+1
     104: 3q+1
     106: 3q+1
     108: 3q+1
     109: 3q+1
     110: 2q+1
     111: q+1
     112: 2q+1
     113: q+1
     114: q^2+2q+1
     115: q^2+q+1
     116: q^2+2q+1
     117: q^2+q+1
     118: 3q+1
     119: 2q+1
     120: 3q+1
     121: q+1
     122: 2q+1
     123: q+1
     124: 2q^2+3q+1
     125: 2q+1
     126: 2q^2+3q+1
     127: 2q+1
     128: 2q+1
     129: 2q+1
     130: 3q+1
     132: 3q+1
     134: q+1
     135: q+1
     136: 2q+1
     137: 2q+1
     138: q+1
     139: q^2+q+1
     140: q+1
     141: q+1
     142: 2q+1
     143: 2q+1
     144: q^2+2q+1
     145: 3q+1
     146: 3q+1
     147: 3q+1
     148: 2q+1
     149: 2q+1
     150: q^2+2q+1
     152: q+1
     153: q^2
     154: q+1
     155: q^2
     156: 2q+1
     157: 2q+1
     158: 3q+1
     159: 3q+1
     160: 2q^2+3q+1
     161: q+1
     162: 1
     163: q+1
     164: q^2+1
     165: 3q+1
     166: 2q+1
     167: 3q+1
     168: q+1
     169: 2q+1
     170: q+1
     171: 2q^2+3q+1
     172: 2q+1
     173: 2q^2+3q+1
     174: 2q+1
     175: 2q+1
     176: 2q+1
     177: 3q+1
     178: 2q+1
     179: 3q+1
     180: q+1
     181: 2q+1
     182: q+1
     183: q+1
     185: q+1
     186: q^2
     187: 3q+1
     189: 1
     190: 1
     191: q+1
     192: q+1
     193: q+1
     194: q+1
     195: q+1
     196: q+1
     197: 2q+1
     198: 2q+1
     199: q+1
     200: 3q+1
     201: 2q+1
     202: 2q+1
     203: 2q+1
     204: 2q+1
     205: q^2+2q+1
     207: q+1
     208: q^2
     209: q+1
     210: q^2
     211: q+1
     213: 1
     215: 1
     216: q^2
     217: 2q+1
     218: 2q+1
     219: q+1
     220: q+1
     221: 2q+1
     222: 2q+1
     223: 3q+1
     224: q^2+2q+1
     225: 2q^2+3q+1
     226: q+1
     227: 1
     228: q+1
     229: q^2+1
     230: 3q+1
     231: 2q+1
     232: 3q+1
     233: q+1
     234: 2q+1
     235: q+1
     236: 3q+1
     237: 2q+1
     238: 3q+1
     239: q+1
     240: 2q+1
     241: q+1
     242: q+1
     244: q+1
     245: q^2
     246: 1
     248: 1
     250: q+1
     252: q^2+2q+1
     256: 1
     257: 1
     258: 1
     259: q+1
     260: q+1
     261: q+1
     262: 1
     263: q+1
     264: 2q+1
     265: 2q+1
     266: q+1
     267: q+1
     268: q+1
     270: 1
     272: 1
     273: q^2
     274: 2q+1
     275: 2q+1
     276: q+1
     278: 1
     280: 1
     281: q^2
     282: q+1
     283: q+1
     284: q+1
     285: q+1
     286: 2q+1
     287: 2q+1
     288: q+1
     289: q+1
     290: 3q+1
     291: 2q+1
     292: 2q+1
     293: 3q+1
     294: 2
     295: 2
     296: 2
     297: 1
     298: 2
     299: 1
     300: 3q+1
     301: 2q+1
     302: 3q+1
     303: q+1
     304: 2q+1
     305: q+1
     306: 1
     308: q+1
     310: 1
     312: 1
     314: 1
     316: 1
     318: q+1
     320: q+1
     324: 1
     325: 1
     326: 1
     327: 2
     329: 2
     331: 1
     333: 1
     334: 1
     335: 2
     336: 2
     337: q+1
     338: q+1
     339: q+1
     341: 1
     343: 1
     344: q^2
     345: q+1
     346: q+1
     347: 2q+1
     348: 2q+1
     349: q+1
     350: 2
     351: q+1
     352: q+1
     353: 1
     354: q+1
     355: q+1
     356: 2q+1
     357: 2q+1
     358: 3q+1
     359: 2q+1
     360: 2q+1
     361: 2
     362: 2
     363: 2
     364: 1
     365: 2
     366: 1
     367: 1
     369: 2
     371: 1
     373: 1
     375: 1
     377: 1
     379: 1
     380: 1
     383: 1
     385: q+1
     387: q+1
     391: q+1
     393: 2
     395: 2
     397: 1
     399: 1
     400: 1
     401: 1
     402: 1
     403: 1
     404: 2
     405: 2
     406: q+1
     407: q+1
     408: q+1
     409: 1
     410: 2
     411: 2
     412: 1
     413: 1
     414: q+1
     415: q+1
     416: 2
     417: 2
     418: 2q+1
     419: 2q+1
     426: 1
     428: 1
     430: 2
     432: 1
     434: 1
     435: 1
     438: 1
     439: 1
     442: 1
     444: 1
     446: 2
     448: q+1
     450: 1
     452: 2
     464: 1
     465: 1
     466: 1
     467: 1
     468: 2
     470: 1
     471: 1
     472: 1
     473: 2
     474: 2
     475: q+1
     476: q+1
     477: 1
     478: 1
     489: 1
     491: 1
     492: 1
     499: 1
     501: 1
     503: 2
     505: 1
     507: 1
     509: 2
     515: 1
     516: 1
     517: 1
     518: 1
     519: 1
     522: 1
     523: 1
     536: 1
     540: 1
     546: 1
     550: 1
     551: 1
     566: 1

567:   1: q^3+q^2
       5: q^3+q^2
       6: q^3+q^2
       7: q^3+q^2
      10: q^3+q^2
      11: q^3+q^2
      12: q^2
      13: q^3+q^2
      14: q^2
      15: q^3+q^2
      16: q^2
      17: q^3+q^2
      18: q^2
      19: q^3+q^2
      20: q^3+q^2
      21: q^3+q^2
      22: q^3+q^2
      23: q^2
      24: q^3+q^2
      25: q^2
      30: q^2
      31: q^2
      34: q^2
      35: q^2
      36: q^2
      37: q^2
      39: q^3+q^2
      41: q^3+q^2
      42: q^3+q^2
      43: q^3+q^2
      45: q^3+q^2
      47: q^3+q^2
      48: q^2
      49: q^2
      50: q^3+q^2
      51: q^3+q^2
      54: q^3+q^2
      61: q^2
      62: q^2
      67: q^2
      68: q^2
      70: q^2
      72: q^2
      73: q^2
      74: q^2
      76: q^3+q^2
      78: q^3+q^2
      80: q^3+q^2
      82: q^3+q^2
      83: q^3+q^2
      84: q^3+q^2
      91: q^2
      92: q^2
      94: q^3+q^2
      98: q^3+q^2
      99: q^3+q^2
     104: q^3+q^2
     106: q^3+q^2
     111: q^2
     113: q^2
     115: q^2
     117: q^2
     121: q^2
     123: q^2
     125: q^2
     127: q^2
     128: q^2
     129: q^2
     130: q^3+q^2
     139: q^2
     152: q^2
     154: q^2
     156: q^2
     157: q^2
     161: q+1
     162: 1
     163: q+1
     164: q^2+1
     168: q^2
     170: q^2
     172: q^2
     174: q^2
     175: q^2
     176: q^2
     180: q^2
     182: q^2
     185: q^2
     189: 1
     190: 1
     194: q+1
     203: q^2
     204: q^2
     207: q^2
     209: q^2
     212: q+1
     214: 1
     215: q^2
     216: 1
     226: q+1
     227: 1
     228: q+1
     229: q^2+1
     233: q^2
     235: q^2
     239: q^2
     241: q^2
     244: q^2
     247: 1
     249: 1
     256: 1
     257: 1
     258: 1
     259: q+1
     262: 1
     269: q+1
     271: 1
     272: q^2
     273: 1
     277: q+1
     279: 1
     280: q^2
     281: 1
     289: q+1
     303: q^2
     305: q^2
     307: 1
     311: 1
     313: 1
     315: 1
     317: 1
     322: q+1
     324: 1
     328: 2
     330: 2
     332: 1
     333: 1
     334: 1
     340: q+1
     342: 1
     343: q^2
     344: 1
     353: 1
     355: q+1
     368: 1
     370: 2
     372: 1
     374: 1
     376: 1
     378: 1
     381: 1
     382: 1
     384: 1
     389: q+1
     394: 2
     396: 2
     398: 1
     401: 1
     409: 1
     412: 1
     413: 1
     427: 1
     429: 1
     431: 2
     433: 1
     436: 1
     437: 1
     440: 1
     441: 1
     443: 1
     445: 1
     447: 2
     451: 1
     466: 1
     467: 1
     470: 1
     482: 1
     483: 1
     490: 1
     493: 1
     494: 1
     500: 1
     502: 1
     504: 2
     506: 1
     508: 1
     515: 1
     527: 1
     528: 1
     537: 1
     541: 1
     547: 1
     567: 1

568:   0: q^2+q+1
       1: q+1
       2: q^2+q+1
       3: q^2+q+1
       4: q^2+q+1
       5: 1
       6: q+1
       7: q+1
       8: q^2+q+1
       9: q^2+q+1
      10: 1
      11: 1
      12: q+1
      13: q+1
      14: 1
      15: 1
      16: q+1
      17: q^5+1
      18: 1
      19: q^5+1
      20: 1
      21: 1
      22: 1
      23: 1
      24: 1
      25: 1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      30: 1
      31: 1
      32: q^2+q+1
      33: q^2+q+1
      34: q+1
      35: 1
      36: q+1
      37: 1
      38: q^2+q+1
      39: q+1
      40: q^2+q+1
      41: 1
      42: q+1
      43: 1
      44: q^2+q+1
      45: q+1
      46: q^2+q+1
      47: 1
      48: 1
      49: 1
      50: 1
      51: 1
      52: q+1
      53: q+1
      54: 1
      55: q+1
      56: q^2+q+1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: 1
      63: q+1
      64: q+1
      65: q+1
      66: q+1
      67: 1
      68: 1
      69: q^2+q+1
      70: q+1
      71: q^2+q+1
      72: 1
      73: q+1
      74: 1
      75: q^2+q+1
      76: q+1
      77: q^2+q+1
      78: 1
      79: q^2+q+1
      80: q+1
      81: q^2+q+1
      82: 1
      83: q+1
      84: 1
      85: 1
      86: 1
      87: q+1
      88: q+1
      89: 1
      90: 1
      91: 1
      92: 1
      93: q^2+q+1
      94: 1
      95: q+1
      96: 1
      97: q+1
      98: 1
      99: 1
     100: q+1
     101: q+1
     102: q^2+q+1
     104: q+1
     106: 1
     108: 1
     109: 1
     110: 1
     111: 1
     112: 1
     113: 1
     114: q^2+q+1
     115: q+1
     116: q^2+q+1
     117: 1
     118: q+1
     119: q+1
     120: q+1
     121: 1
     122: q+1
     123: 1
     124: q^2+q+1
     125: q+1
     126: q^2+q+1
     127: 1
     128: q+1
     129: 1
     130: 1
     132: q+1
     134: 1
     135: 1
     136: 1
     137: 1
     138: q+1
     139: 1
     140: 1
     141: 1
     142: q+1
     143: q+1
     144: q^2+q+1
     145: q+1
     146: 1
     147: 1
     148: q+1
     149: q+1
     150: q^2+q+1
     152: q+1
     154: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: q^2+q+1
     161: 1
     162: 1
     163: 1
     164: q^2+1
     165: 1
     166: 1
     167: 1
     168: 1
     169: 1
     170: 1
     171: q^2+q+1
     172: q+1
     173: q^2+q+1
     174: 1
     175: q+1
     176: 1
     177: q+1
     178: q+1
     179: q+1
     180: 1
     181: q+1
     182: 1
     183: q+1
     185: 1
     187: 1
     189: 1
     190: 1
     191: 1
     192: 1
     193: 1
     194: 1
     195: 1
     196: 1
     197: 1
     198: 1
     199: q+1
     200: 1
     201: q+1
     202: q+1
     203: 1
     204: 1
     205: q^2+q+1
     207: q+1
     209: 1
     211: 1
     213: 1
     215: 1
     216: q^2
     217: 1
     218: 1
     219: 1
     220: 1
     221: q+1
     222: q+1
     223: q+1
     224: q^2+q+1
     225: q^2+q+1
     230: q+1
     231: q+1
     232: q+1
     233: 1
     234: q+1
     235: 1
     236: 1
     237: 1
     238: 1
     239: 1
     240: 1
     241: 1
     242: q+1
     244: 1
     246: 1
     248: 1
     250: 1
     252: q^2+q+1
     258: 1
     260: 1
     261: 1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     267: 1
     268: 1
     270: 1
     272: 1
     273: q^2
     274: q+1
     275: q+1
     282: 1
     283: 1
     284: 1
     285: 1
     286: 1
     287: 1
     288: q+1
     289: 1
     290: 1
     291: q+1
     292: q+1
     293: q+1
     294: q+1
     295: q+1
     296: q+1
     297: 1
     298: q+1
     299: 1
     300: 1
     301: 1
     302: 1
     303: 1
     304: 1
     305: 1
     306: 1
     308: 1
     310: 1
     316: 1
     318: q+1
     320: 1
     325: 1
     326: 1
     327: 1
     329: 1
     331: 1
     332: q^2
     333: 1
     335: q+1
     336: q+1
     337: 1
     338: 1
     345: 1
     346: 1
     347: 1
     348: 1
     349: q+1
     350: q+1
     351: 1
     352: 1
     353: 1
     354: 1
     356: 1
     357: 1
     358: 1
     359: q+1
     360: q+1
     361: 1
     362: 1
     363: 1
     364: 1
     365: 1
     366: 1
     367: 1
     369: 1
     371: 1
     379: 1
     383: 1
     385: 1
     391: q+1
     399: 1
     400: 1
     402: 1
     403: 1
     404: 1
     405: 1
     406: 1
     407: 1
     408: 1
     409: 1
     410: q+1
     411: 1
     412: 1
     414: 1
     415: 1
     416: q+1
     417: q+1
     418: 1
     419: 1
     428: 1
     434: 1
     442: 1
     446: 1
     448: 1
     450: 1
     452: q+1
     464: 1
     465: 1
     466: 1
     468: 1
     471: 1
     472: 1
     473: 1
     474: 1
     475: 1
     476: 1
     477: 1
     499: 1
     505: 1
     509: 1
     511: 1
     516: 1
     517: 1
     518: 1
     519: 1
     536: 1
     538: 1
     550: 1
     551: 1
     568: 1

569:   1: q^3+q^2
       5: q^2
       6: q^3+q^2
       7: q^3+q^2
      10: q^2
      11: q^2
      12: q^3+q^2
      13: q^3+q^2
      14: q^2
      15: q^2
      16: q^3+q^2
      17: q^3+q^2
      18: q^2
      19: q^3+q^2
      20: q^2
      21: q^2
      22: q^2
      23: q^2
      24: q^2
      25: q^2
      30: q^2
      31: q^2
      34: q^3+q^2
      35: q^2
      36: q^3+q^2
      37: q^2
      39: q^3+q^2
      41: q^2
      42: q^3+q^2
      43: q^2
      45: q^3+q^2
      47: q^2
      48: q^2
      49: q^2
      50: q^2
      51: q^2
      54: q^2
      61: q^2
      62: q^2
      67: q^2
      68: q^2
      70: q^3+q^2
      72: q^2
      73: q^3+q^2
      74: q^2
      76: q^3+q^2
      78: q^2
      80: q^3+q^2
      82: q^2
      83: q^3+q^2
      84: q^2
      91: q^2
      92: q^2
      94: q^2
      98: q^2
      99: q^2
     104: q^3+q^2
     106: q^2
     111: q^2
     113: q^2
     115: q^3+q^2
     117: q^2
     121: q^2
     123: q^2
     125: q^3+q^2
     127: q^2
     128: q^3+q^2
     129: q^2
     130: q^2
     139: q^2
     152: q^3+q^2
     154: q^2
     156: q^2
     157: q^2
     161: 1
     162: 1
     163: 1
     164: q^2+1
     168: q^2
     170: q^2
     172: q^3+q^2
     174: q^2
     175: q^3+q^2
     176: q^2
     180: q^2
     182: q^2
     185: q^2
     189: 1
     190: 1
     194: 1
     203: q^2
     204: q^2
     207: q^3+q^2
     209: q^2
     212: 1
     214: 1
     215: q^2
     216: 1
     233: q^2
     235: q^2
     239: q^2
     241: q^2
     244: q^2
     247: 1
     249: 1
     258: 1
     262: 1
     269: 1
     271: 1
     272: q^2
     273: 1
     289: 1
     297: q^2
     299: q^2
     303: q^2
     305: q^2
     307: 1
     311: 1
     317: 1
     322: 1
     328: 1
     330: 1
     331: q^2
     332: 1
     333: 1
     353: 1
     364: q^2
     366: q^2
     368: 1
     370: 1
     372: 1
     381: 1
     384: 1
     409: 1
     412: 1
     429: 1
     436: 1
     443: 1
     447: 1
     451: 1
     466: 1
     482: 1
     500: 1
     506: 1
     511: 1
     537: 1
     539: 1
     569: 1

570:   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^3+2q+1
       7: q^2+2q+1
       8: q^3+2q^2+2q+1
       9: q^2+2q+1
      10: q^3+2q+1
      11: q^2+2q+1
      12: q^3+2q+1
      13: q^3+2q+1
      14: q^3+2q+1
      15: q^3+2q+1
      16: q^3+2q+1
      17: q^4+q^3+q+1
      18: q^3+2q+1
      19: q^4+q^3+q+1
      20: q^2+2q+1
      21: q^3+2q+1
      22: q^2+2q+1
      23: q^3+2q+1
      24: q^3+2q+1
      25: q^3+2q+1
      26: q^2+2q+1
      27: 2q+1
      28: q^2+2q+1
      29: 2q+1
      30: q^3+q+1
      31: q^3+q+1
      32: q^3+2q^2+2q+1
      33: q^3+2q^2+2q+1
      34: q^3+2q+1
      35: q^3+2q+1
      36: q^3+2q+1
      37: q^3+2q+1
      38: q^2+2q+1
      39: 2q+1
      40: q^2+2q+1
      41: 2q+1
      42: 2q+1
      43: 2q+1
      44: q^3+2q^2+2q+1
      45: q^2+2q+1
      46: q^3+2q^2+2q+1
      47: q^2+2q+1
      48: q^3+2q+1
      49: q^3+2q+1
      50: 2q+1
      51: 2q+1
      52: 2q+1
      53: 2q+1
      54: q^2+2q+1
      55: q^2+2q+1
      56: q^3+2q^2+2q+1
      57: q^2+2q+1
      58: 2q+1
      59: q^2+2q+1
      60: 2q+1
      61: q^3+q+1
      62: q^3+q+1
      63: q^2+2q+1
      64: q^2+2q+1
      65: 2q+1
      66: 2q+1
      67: q^3+q+1
      68: q^3+q+1
      69: q^2+2q+1
      70: 2q+1
      71: q^2+2q+1
      72: 2q+1
      73: 2q+1
      74: 2q+1
      75: q^2+2q+1
      76: q^2+2q+1
      77: q^3+2q^2+2q+1
      78: q^2+2q+1
      79: q^2+2q+1
      80: 2q+1
      81: q^2+2q+1
      82: 2q+1
      83: 2q+1
      84: 2q+1
      85: q+1
      86: q+1
      87: 2q+1
      88: 2q+1
      89: 2q+1
      90: 2q+1
      91: 2q+1
      92: 2q+1
      93: q^2+2q+1
      94: q^2+2q+1
      95: 2q+1
      96: q^2+2q+1
      97: q^2+2q+1
      98: 2q+1
      99: 2q+1
     100: 2q+1
     101: 2q+1
     102: q^2+2q+1
     104: 2q+1
     105: q^2
     106: 2q+1
     107: q^2
     108: q^2+2q+1
     109: q^2+2q+1
     110: 2q+1
     111: q^3+q+1
     112: 2q+1
     113: q^3+q+1
     114: q^2+2q+1
     115: q^2+2q+1
     116: q^3+2q^2+2q+1
     117: q^2+2q+1
     118: 2q+1
     119: 2q+1
     120: 2q+1
     121: q+1
     122: 2q+1
     123: q+1
     124: q^2+2q+1
     125: 2q+1
     126: q^2+2q+1
     127: 2q+1
     128: 2q+1
     129: 2q+1
     130: 2q+1
     131: q^2
     132: 2q+1
     134: q+1
     135: q+1
     136: 2q+1
     137: 2q+1
     138: 2q+1
     139: q^2+2q+1
     140: q+1
     141: q+1
     142: 2q+1
     143: 2q+1
     144: q^2+2q+1
     145: 2q+1
     146: 2q+1
     147: q^2+2q+1
     148: 2q+1
     149: 2q+1
     150: q^2+2q+1
     152: 2q+1
     153: q^2
     154: 2q+1
     155: q^2
     156: 2q+1
     157: 2q+1
     158: 2q+1
     159: 2q+1
     160: q^2+2q+1
     161: 3q+1
     162: 3q+1
     163: q^2+2q+1
     164: q^2+2q+1
     165: 2q+1
     166: 2q+1
     167: 2q+1
     168: q+1
     169: 2q+1
     170: q+1
     171: q^2+2q+1
     172: q+1
     173: q^2+2q+1
     174: q+1
     175: q+1
     176: q+1
     177: 2q+1
     178: 2q+1
     179: 2q+1
     180: q+1
     181: 2q+1
     182: q+1
     183: 2q+1
     185: 2q+1
     186: q^2
     187: 2q+1
     189: 2q+1
     190: 3q+1
     191: q+1
     192: q+1
     193: 2q+1
     194: 2q+1
     195: q+1
     196: q+1
     197: 2q+1
     198: 2q+1
     199: 2q+1
     200: 2q+1
     201: q+1
     202: q+1
     203: q+1
     204: q+1
     205: q^2+2q+1
     207: q+1
     209: q+1
     211: 2q+1
     212: q
     213: 2q+1
     214: q
     215: q+1
     216: q^2+q
     217: 2q+1
     218: 2q+1
     219: q+1
     220: q+1
     221: 2q+1
     222: 2q+1
     223: 2q+1
     224: q^2+2q+1
     225: q^2+2q+1
     226: 3q+1
     227: 3q+1
     228: q^2+2q+1
     229: q^2+2q+1
     230: q+1
     231: 1
     232: q+1
     233: 1
     234: 1
     235: 1
     236: 2q+1
     237: 2q+1
     238: 2q+1
     239: q+1
     240: 2q+1
     241: q+1
     242: q+1
     244: q+1
     246: q+1
     247: q
     248: 2q+1
     249: q
     250: 2q+1
     252: q^2+2q+1
     256: 2q+1
     257: 3q+1
     258: 2q+1
     259: 2q+1
     260: q+1
     261: q+1
     262: 2q+1
     263: 2q+1
     264: q+1
     265: q+1
     266: 1
     267: 1
     268: q+1
     270: 1
     271: q
     272: 1
     273: q
     274: 1
     275: 1
     276: 2q+1
     277: q
     278: 2q+1
     279: q
     280: q+1
     281: q^2+q
     282: q+1
     283: q+1
     284: q+1
     285: q+1
     286: 2q+1
     287: 2q+1
     288: 2q+1
     289: 2q+1
     290: 2q+1
     291: q+1
     292: q+1
     293: q+1
     294: q+1
     295: 1
     296: q+1
     297: 1
     298: 1
     299: 1
     300: q+1
     301: 1
     302: q+1
     303: 1
     304: 1
     305: 1
     306: 1
     308: q+1
     310: 1
     311: q
     312: q+1
     313: q
     314: 2q+1
     315: q
     316: q+1
     317: q
     318: q+1
     320: q+1
     324: 2q+1
     325: 1
     326: 1
     327: q+1
     329: 1
     330: q
     331: 1
     332: q
     333: q+1
     334: 2q+1
     335: 1
     336: 1
     337: 1
     338: 1
     339: q+1
     341: 1
     342: q
     343: 1
     344: q
     345: 1
     346: 1
     347: 1
     348: 1
     349: 1
     350: q+1
     351: q+1
     352: q+1
     353: 2q+1
     354: 2q+1
     355: 2q+1
     356: q+1
     357: q+1
     358: q+1
     359: 1
     360: 1
     361: q+1
     362: 1
     363: q+1
     364: 1
     365: 1
     366: 1
     367: 1
     368: q
     369: 1
     371: 1
     373: 1
     375: 1
     376: q
     377: q+1
     378: q
     379: q+1
     383: 1
     385: q+1
     387: q+1
     391: 1
     393: q+1
     395: 1
     396: q
     397: 1
     398: q
     399: 1
     400: 1
     401: q+1
     402: 1
     403: 1
     404: 1
     405: 1
     406: 1
     407: 1
     408: 1
     409: 2
     410: 1
     411: q+1
     412: q+1
     413: 2q+1
     414: 1
     415: 1
     416: 1
     417: 1
     418: 1
     419: 1
     426: 1
     427: q
     428: 1
     430: 1
     432: 1
     434: 1
     436: 1
     438: q+1
     442: 1
     444: 1
     446: 1
     448: 1
     450: 2
     452: 1
     464: 1
     465: 1
     466: 1
     467: 2
     468: 1
     470: q+1
     471: 1
     472: 1
     473: 1
     474: 1
     475: 1
     476: 1
     477: 1
     479: 1
     489: 1
     491: 1
     493: 1
     499: 1
     501: 1
     503: 1
     505: 1
     507: 2
     509: 1
     511: 1
     515: 1
     518: 1
     519: 1
     522: 1
     524: 1
     538: 1
     540: 1
     546: 1
     548: 1
     570: 1

571:   0: q^2+q
       1: q^3+2q^2+q
       2: q^2+q
       3: q^3+2q^2+q
       4: q^2+q
       5: q^3+2q^2+q
       6: 3q^2+q
       7: q^3+2q^2+q
       8: q^2+q
       9: q^3+2q^2+q
      10: 3q^2+q
      11: q^3+2q^2+q
      12: 3q^2+q
      13: 3q^2+q
      14: 3q^2+q
      15: 3q^2+q
      16: 3q^2+q
      17: q^3+2q^2+q
      18: 3q^2+q
      19: q^3+2q^2+q
      20: q^3+2q^2+q
      21: 3q^2+q
      22: q^3+2q^2+q
      23: 3q^2+q
      24: 3q^2+q
      25: 3q^2+q
      26: q^2+q
      27: 2q^2+q
      28: q^2+q
      29: 2q^2+q
      30: 2q^2+q
      31: 2q^2+q
      32: q^2+q
      33: q^2+q
      34: 3q^2+q
      35: 3q^2+q
      36: 3q^2+q
      37: 3q^2+q
      38: q^2+q
      39: 2q^2+q
      40: q^2+q
      41: 2q^2+q
      42: 2q^2+q
      43: 2q^2+q
      44: q^2+q
      45: q^3+2q^2+q
      46: q^2+q
      47: q^3+2q^2+q
      48: 3q^2+q
      49: 3q^2+q
      50: 2q^2+q
      51: 2q^2+q
      52: q^2+q
      53: q^2+q
      54: q^3+2q^2+q
      55: q^2+q
      56: q^2+q
      57: q^2+q
      58: 2q^2+q
      59: q^2+q
      60: 2q^2+q
      61: 2q^2+q
      62: 2q^2+q
      63: q^2+q
      64: q^2+q
      65: 2q^2+q
      66: 2q^2+q
      67: 2q^2+q
      68: 2q^2+q
      69: q^2+q
      70: 2q^2+q
      71: q^2+q
      72: 2q^2+q
      73: 2q^2+q
      74: 2q^2+q
      75: 2q^2+2q
      76: 2q^2+2q
      77: q^2+q
      78: 2q^2+2q
      79: q^2+q
      80: 2q^2+q
      81: q^2+q
      82: 2q^2+q
      83: 2q^2+q
      84: 2q^2+q
      85: q^2+q
      86: q^2+q
      87: q^2+q
      88: q^2+q
      89: q^2+q
      90: q^2+q
      91: 2q^2+q
      92: 2q^2+q
      93: q^2+q
      94: 2q^2+2q
      95: q^2+2q
      96: q^2+q
      97: q^2+q
      98: 2q^2+q
      99: 2q^2+q
     100: q^2+q
     101: q^2+q
     102: q^2+q
     103: q^2+q
     104: 2q^2+q
     105: q
     106: 2q^2+q
     107: q
     108: q^2+q
     109: q^2+q
     110: 2q^2+q
     111: 2q^2+q
     112: 2q^2+q
     113: 2q^2+q
     114: 2q^2+2q
     115: 2q^2+2q
     116: q^2+q
     117: 2q^2+2q
     118: q
     119: q
     120: q
     121: q^2+q
     122: q
     123: q^2+q
     124: q^2+q
     125: 2q^2+q
     126: q^2+q
     127: 2q^2+q
     128: 2q^2+q
     129: 2q^2+q
     130: 2q^2+q
     131: q
     132: q^2+q
     133: q
     134: q^2+q
     135: q^2+q
     136: q^2+q
     137: q^2+q
     138: q^2+2q
     139: 2q^2+2q
     140: q
     141: q
     142: q
     143: q
     144: q^2+q
     145: q
     146: q^2+2q
     147: q^2+q
     148: q^2+q
     149: q^2+q
     150: q^2+q
     151: q^2+q
     152: 2q^2+q
     153: q
     154: 2q^2+q
     155: q
     156: 2q^2+q
     157: 2q^2+q
     158: q^2+q
     159: q^2+q
     160: q^2+q
     161: 3q+1
     162: 3q+1
     163: q^2+2q+1
     164: q^2+2q+1
     165: q
     166: q
     167: q
     168: q^2+q
     169: q
     170: q^2+q
     172: q^2+q
     174: q^2+q
     175: q^2+q
     176: q^2+q
     177: q
     178: q
     179: q
     180: q^2+q
     181: q
     182: q^2+q
     183: q^2+q
     184: q
     185: 2q^2+q
     186: q
     187: q^2+q
     188: q
     189: 2q+1
     190: 3q+1
     191: q
     192: q
     193: q^2+2q
     194: 2q+1
     195: q
     196: q
     197: q
     198: q
     199: q
     200: q
     203: q^2+q
     204: q^2+q
     207: q^2+q
     209: q^2+q
     211: q
     212: 2q+1
     213: q
     214: 2q+1
     215: q^2+q
     216: q+1
     217: q^2+q
     218: q^2+q
     219: q
     220: q
     221: q
     222: q
     223: q
     224: q^2+q
     226: 3q+1
     227: 3q+1
     228: q^2+2q+1
     229: q^2+2q+1
     231: q
     233: q
     234: q
     235: q
     236: q
     237: q
     238: q
     239: q^2+q
     240: q
     241: q^2+q
     244: q^2+q
     246: q
     247: q+1
     248: q
     249: 2q+1
     250: q^2+q
     251: q
     256: 2q+1
     257: 3q+1
     258: 2q+1
     259: 2q+1
     260: q
     261: q
     262: 2q+1
     263: q
     266: q
     267: q
     269: q+1
     270: q
     271: 1
     272: q
     273: 1
     276: q
     277: 2q+1
     278: q
     279: 2q+1
     280: q^2+q
     281: q+1
     282: q
     283: q
     284: q
     285: q
     286: q
     287: q
     288: q
     289: 2q+1
     290: q
     295: q
     297: q
     298: q
     299: q
     301: q
     303: q
     304: q
     305: q
     307: 1
     310: q
     311: 1
     312: q
     313: q+1
     314: q
     315: 2q+1
     316: q
     317: q+1
     322: q+1
     324: 2q+1
     325: q
     326: q
     328: q+1
     329: q
     330: 1
     331: q
     332: 1
     333: q+1
     334: 2q+1
     340: q+1
     341: q
     342: 1
     343: q
     344: 1
     345: q
     346: q
     349: 1
     351: q
     352: q
     353: 2q+1
     354: q
     355: 2q+1
     362: q
     364: q
     365: q
     366: q
     367: q
     368: 1
     370: 1
     372: 1
     374: 1
     375: q
     376: 1
     377: q
     378: q+1
     381: q+1
     384: 1
     389: q+1
     392: 1
     394: q+1
     395: q
     396: 1
     397: q
     398: 1
     399: q
     400: q
     401: q+1
     408: 1
     409: 2
     410: 1
     412: q+1
     413: 2q+1
     426: q
     427: 1
     429: 1
     431: 1
     433: 1
     434: 1
     436: 1
     440: q+1
     443: 1
     445: 1
     447: 1
     449: 1
     451: 2
     453: 1
     466: 1
     467: 2
     468: 1
     470: q+1
     480: 1
     482: 1
     490: 1
     491: 1
     493: 1
     500: 1
     502: 1
     504: 1
     506: 1
     508: 2
     510: 1
     511: 1
     515: 1
     525: 1
     527: 1
     539: 1
     541: 1
     547: 1
     548: 1
     571: 1

572:   0: 3q^2+2q+1
       1: 3q^2+2q+1
       2: 3q^2+2q+1
       3: q^2+2q+1
       4: 3q^2+2q+1
       5: q^2+q+1
       6: q^2+2q+1
       7: 3q^2+2q+1
       8: 3q^2+2q+1
       9: q^2+2q+1
      10: q+1
      11: q^2+q+1
      12: q^2+2q+1
      13: q^2+2q+1
      14: q+1
      15: q+1
      16: q^2+2q+1
      17: q+1
      18: q+1
      19: q+1
      20: q^2+q+1
      21: q+1
      22: q^2+q+1
      23: q+1
      24: q+1
      25: q+1
      26: 3q^2+2q+1
      27: q^2+2q+1
      28: 3q^2+2q+1
      29: q^2+2q+1
      30: q+1
      31: q+1
      32: 3q^2+2q+1
      33: 3q^2+2q+1
      34: q^2+2q+1
      35: q+1
      36: q^2+2q+1
      37: q+1
      38: q^2+2q+1
      39: q^2+2q+1
      40: q^2+2q+1
      41: q+1
      42: q^2+2q+1
      43: q+1
      44: 3q^2+2q+1
      45: 3q^2+2q+1
      46: 3q^2+2q+1
      47: q^2+q+1
      48: q+1
      49: q+1
      50: q+1
      51: q+1
      52: q^2+2q+1
      53: q^2+2q+1
      54: q^2+q+1
      55: 3q^2+2q+1
      56: 3q^2+2q+1
      57: q^2+q+1
      58: q+1
      59: q^2+q+1
      60: q+1
      61: q+1
      62: q+1
      63: 3q^2+2q+1
      64: 3q^2+2q+1
      65: q^2+2q+1
      66: q^2+2q+1
      67: q+1
      68: q+1
      69: q^2+2q+1
      70: q^2+2q+1
      71: q^2+2q+1
      72: q+1
      73: q^2+2q+1
      74: q+1
      75: 2q+1
      76: 2q+1
      77: 2q^2+2q+1
      78: q+1
      79: q^2+2q+1
      80: q^2+2q+1
      81: q^2+2q+1
      82: q+1
      83: q^2+2q+1
      84: q+1
      85: q+1
      86: q+1
      87: q^2+2q+1
      88: q^2+2q+1
      89: q+1
      90: q+1
      91: q+1
      92: q+1
      93: 2q+1
      94: q+1
      95: 2q+1
      96: q^2+q+1
      97: 3q^2+2q+1
      98: q+1
      99: q+1
     100: q^2+2q+1
     101: q^2+2q+1
     102: 2q+1
     104: 2q+1
     106: q+1
     108: q^2+q+1
     109: q^2+q+1
     110: q+1
     111: q+1
     112: q+1
     113: q+1
     114: 2q+1
     115: 2q+1
     116: 2q^2+2q+1
     117: q+1
     118: q^2+2q+1
     119: q^2+2q+1
     120: q^2+2q+1
     121: q+1
     122: q^2+2q+1
     123: q+1
     124: q^2+2q+1
     125: q^2+2q+1
     126: q^2+2q+1
     127: q+1
     128: q^2+2q+1
     129: q+1
     130: q+1
     132: 2q+1
     134: q+1
     135: q+1
     136: q+1
     137: q+1
     138: 2q+1
     139: q+1
     140: q+1
     141: q+1
     142: q^2+2q+1
     143: q^2+2q+1
     144: 2q+1
     145: 2q+1
     146: q+1
     147: q^2+q+1
     148: q^2+2q+1
     149: q^2+2q+1
     150: 2q+1
     152: 2q+1
     154: q+1
     156: q+1
     157: q+1
     158: q+1
     159: q+1
     160: 2q+1
     161: 2q+1
     162: 2q+1
     163: 2q^2+2q+1
     164: q+1
     165: q+1
     166: q+1
     167: q+1
     168: q+1
     169: q+1
     170: q+1
     171: 3q+1
     172: q+1
     173: 3q+1
     174: 1
     175: q+1
     176: 1
     177: q^2+2q+1
     178: q^2+2q+1
     179: q^2+2q+1
     180: q+1
     181: q^2+2q+1
     182: q+1
     183: 2q+1
     185: q+1
     187: q+1
     189: q+1
     190: 2q+1
     191: q+1
     192: q+1
     193: q+1
     194: 2q+1
     195: q+1
     196: q+1
     197: q+1
     198: q+1
     199: 2q+1
     200: q+1
     201: q+1
     202: q+1
     203: 1
     204: 1
     205: 3q+1
     207: q+1
     209: 1
     211: 2q+1
     213: 2q+1
     215: q+1
     217: q+1
     218: q+1
     219: q+1
     220: q+1
     221: q^2+2q+1
     222: q^2+2q+1
     223: 2q+1
     224: 2q+1
     225: 3q+1
     230: 3q+1
     231: q+1
     232: 3q+1
     233: 1
     234: q+1
     235: 1
     236: q+1
     237: q+1
     238: q+1
     239: q+1
     240: q+1
     241: q+1
     242: q+1
     244: 1
     246: q+1
     248: 2q+1
     250: q+1
     252: 2q+1
     253: q
     258: q+1
     260: q+1
     261: q+1
     262: 2q+1
     263: q+1
     264: 1
     265: 1
     266: 1
     267: 1
     268: 3q+1
     270: q+1
     272: 1
     274: q+1
     275: q+1
     282: q+1
     283: q+1
     284: q+1
     285: q+1
     286: q+1
     287: q+1
     288: 2q+1
     289: 2q+1
     290: q+1
     291: q+1
     292: q+1
     293: 3q+1
     294: 3q+1
     295: q+1
     296: 3q+1
     297: 1
     298: q+1
     299: 1
     300: q+1
     301: 1
     302: q+1
     303: 1
     304: 1
     305: 1
     306: q+1
     308: 1
     310: 1
     316: q+1
     318: q+1
     320: 2q+1
     321: q
     325: 1
     326: 1
     327: 3q+1
     329: q+1
     331: 1
     333: q+1
     335: q+1
     336: q+1
     337: 1
     338: 1
     345: 1
     346: 1
     347: 1
     348: 1
     349: 1
     350: 3q+1
     351: q+1
     352: q+1
     353: 2q+1
     354: q+1
     356: 1
     357: 1
     358: q+1
     359: q+1
     360: q+1
     361: q+1
     362: 1
     363: q+1
     364: 1
     365: 1
     366: 1
     367: 1
     369: q+1
     371: 1
     379: 2q+1
     380: q
     383: q+1
     385: 1
     391: 1
     399: 1
     400: 1
     402: 1
     403: 1
     404: 1
     405: 1
     406: 1
     407: 1
     408: 1
     409: 1
     410: 1
     411: q+1
     412: q+1
     414: 1
     415: 1
     416: q+1
     417: q+1
     418: 1
     419: 1
     420: q+1
     421: 1
     422: q+1
     423: 1
     424: 1
     425: 1
     428: 1
     434: 1
     442: 1
     446: q+1
     448: 1
     450: 1
     452: 1
     460: 1
     461: 1
     462: 1
     463: 1
     464: 1
     465: 1
     466: 1
     468: 1
     469: q+1
     471: 1
     472: 1
     473: 1
     474: 1
     475: 1
     476: 1
     477: 1
     499: 1
     505: 1
     509: 1
     511: 1
     512: 1
     513: 1
     514: 1
     518: 1
     519: 1
     520: 1
     521: 1
     538: 1
     544: 1
     549: 1
     552: 1
     553: 1
     572: 1

573:   0: q^2+q
       1: q^2+q
       2: q^2+q
       3: q^3+2q^2+q
       4: q^2+q
       5: q
       6: q^3+2q^2+q
       7: q^2+q
       8: q^2+q
       9: q^3+2q^2+q
      10: q^2+q
      11: q
      12: q^3+2q^2+q
      13: q^3+2q^2+q
      14: q^2+q
      15: q^2+q
      16: q^3+2q^2+q
      17: q^2+q
      18: q^2+q
      19: q^2+q
      20: q
      21: q^2+q
      22: q
      23: q^2+q
      24: q^2+q
      25: q^2+q
      26: q^2+q
      27: q^3+2q^2+q
      28: q^2+q
      29: q^3+2q^2+q
      30: q^2+q
      31: q^2+q
      32: q^2+q
      33: q^2+q
      34: q^3+2q^2+q
      35: q^2+q
      36: q^3+2q^2+q
      37: q^2+q
      38: q^2+q
      39: q^2+q
      40: q^2+q
      41: q
      42: q^2+q
      43: q
      44: q^2+q
      45: q^2+q
      46: q^2+q
      47: q
      48: q^2+q
      49: q^2+q
      50: q
      51: q
      52: q^2+q
      53: q^2+q
      54: q
      55: q^2+q
      56: q^2+q
      57: q
      58: q^2+q
      59: q
      60: q^2+q
      61: q^2+q
      62: q^2+q
      63: q^2+q
      64: q^2+q
      65: q^3+2q^2+q
      66: q^3+2q^2+q
      67: q^2+q
      68: q^2+q
      69: q^2+q
      70: q^2+q
      71: q^2+q
      72: q
      73: q^2+q
      74: q
      75: q^2+2q
      76: q^2+2q
      77: q
      78: 2q
      79: q^2+q
      80: q^2+q
      81: q^2+q
      82: q
      83: q^2+q
      84: q
      85: q^2+q
      86: q^2+q
      87: q^2+q
      88: q^2+q
      89: q
      90: q
      91: q
      92: q
      93: q
      94: 2q
      95: q^2+2q
      96: q
      97: q^2+q
      98: q
      99: q
     100: q^2+q
     101: q^2+q
     102: q^2+q
     103: q
     104: q^2+q
     105: q
     106: q
     107: q
     108: q
     109: q
     110: q^2+q
     111: q^2+q
     112: q^2+q
     113: q^2+q
     114: q^2+2q
     115: q^2+2q
     116: q
     117: 2q
     118: q^2+q
     119: q^2+q
     120: q^2+q
     121: q
     122: q^2+q
     123: q
     124: q^2+q
     125: q^2+q
     126: q^2+q
     127: q
     128: q^2+q
     129: q
     130: q
     131: q
     132: q^2+q
     133: q
     134: q^2+q
     135: q^2+q
     136: q
     137: q
     138: q^2+2q
     139: 2q
     140: q
     141: q
     142: q^2+q
     143: q^2+q
     144: q
     145: q
     146: 2q
     147: q
     148: q^2+q
     149: q^2+q
     150: q^2+q
     151: q
     152: q^2+q
     153: q
     154: q
     155: q
     156: q
     157: q
     158: q
     159: q
     160: q
     161: q^2+2q
     162: q^2+2q
     163: q
     164: 2q
     165: q
     166: q
     167: q
     168: q
     169: q
     170: q
     172: q^2+q
     174: q
     175: q^2+q
     176: q
     177: q^2+q
     178: q^2+q
     179: q^2+q
     180: q
     181: q^2+q
     182: q
     183: q^2+q
     184: q
     185: q
     186: q
     187: q
     188: q
     189: 2q
     190: q^2+2q
     191: q
     192: q
     193: 2q
     194: q
     195: q
     196: q
     197: q
     198: q
     199: q
     200: q
     203: q
     204: q
     207: q^2+q
     209: q
     211: q^2+q
     212: q
     213: q^2+q
     214: q
     215: q
     216: q
     217: q
     218: q
     219: q
     220: q
     221: q^2+q
     222: q^2+q
     223: q
     224: q
     231: q^2+q
     233: q
     234: q^2+q
     235: q
     236: q
     237: q
     238: q
     239: q
     240: q
     241: q
     244: q
     246: q
     247: q
     248: q^2+q
     249: q
     250: q
     251: q
     258: 2q
     260: q
     261: q
     262: q
     263: q
     266: q
     267: q
     270: q^2+q
     272: q
     282: q
     283: q
     284: q
     285: q
     286: q
     287: q
     288: q
     289: q
     290: q
     295: q^2+q
     297: q
     298: q^2+q
     299: q
     301: q
     303: q
     304: q
     305: q
     310: q
     316: q
     317: q
     325: q
     326: q
     329: q^2+q
     331: q
     333: q
     345: q
     346: q
     349: 1
     351: q
     352: q
     353: q
     354: q
     362: q
     364: q
     365: q
     366: q
     367: q
     392: 1
     399: q
     400: q
     408: 1
     409: 1
     410: 1
     412: q
     421: q
     423: q
     424: q
     425: q
     434: 1
     449: 1
     451: 1
     453: 1
     460: q
     461: q
     466: 1
     468: 1
     480: 1
     506: 1
     510: 1
     511: 1
     514: 1
     539: 1
     545: 1
     549: 1
     573: 1

574:   0: 2q+1
       1: 2q+1
       2: 2q+1
       3: q+1
       4: 2q+1
       5: 2q+1
       6: q+1
       7: 2q+1
       8: 2q+1
       9: q+1
      10: q+1
      11: 2q+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: 2q+1
      21: q+1
      22: 2q+1
      23: q+1
      24: q+1
      25: q+1
      26: 2q+1
      27: q+1
      28: 2q+1
      29: q+1
      30: q+1
      31: q+1
      32: 2q+1
      33: 2q+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: 2q+1
      45: 2q+1
      46: 2q+1
      47: 2q+1
      48: q+1
      49: q+1
      50: q+1
      51: q+1
      52: q+1
      53: q+1
      54: 2q+1
      55: 2q+1
      56: 2q+1
      57: 2q+1
      58: q+1
      59: 2q+1
      60: q+1
      61: q+1
      62: q+1
      63: 2q+1
      64: 2q+1
      65: q+1
      66: 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: 1
      76: 1
      77: q+1
      78: 1
      79: q+1
      80: q+1
      81: q+1
      82: q+1
      83: q+1
      84: q+1
      85: q+1
      86: q+1
      87: q+1
      88: q+1
      89: q+1
      90: q+1
      91: q+1
      92: q+1
      93: 1
      94: 1
      95: 1
      96: 2q+1
      97: 2q+1
      98: q+1
      99: q+1
     100: q+1
     101: q+1
     102: 1
     104: 1
     106: 1
     108: 2q+1
     109: 2q+1
     110: q+1
     111: q+1
     112: q+1
     113: q+1
     114: 1
     115: 1
     116: q+1
     117: 1
     118: q+1
     119: q+1
     120: q+1
     121: q+1
     122: q+1
     123: q+1
     124: q+1
     125: q+1
     126: q+1
     127: q+1
     128: q+1
     129: q+1
     130: 1
     132: 1
     134: q+1
     135: q+1
     136: q+1
     137: q+1
     138: 1
     139: 1
     140: q+1
     141: q+1
     142: q+1
     143: q+1
     144: 1
     145: 1
     146: 1
     147: 2q+1
     148: q+1
     149: q+1
     150: 1
     152: 1
     154: 1
     156: q+1
     157: q+1
     158: q+1
     159: q+1
     160: 1
     161: 1
     162: 1
     163: q+1
     164: 1
     165: q+1
     166: q+1
     167: q+1
     168: q+1
     169: q+1
     170: q+1
     171: 2
     172: 1
     173: 2
     174: 1
     175: 1
     176: 1
     177: q+1
     178: q+1
     179: q+1
     180: q+1
     181: q+1
     182: q+1
     183: 1
     185: 1
     187: 1
     189: 1
     190: 1
     191: q+1
     192: q+1
     193: 1
     194: 1
     195: q+1
     196: q+1
     197: q+1
     198: q+1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 2
     207: 1
     209: 1
     211: 1
     213: 1
     215: 1
     217: q+1
     218: q+1
     219: q+1
     220: q+1
     221: q+1
     222: q+1
     223: 1
     224: 1
     225: 2
     226: 1
     227: 1
     228: q+1
     229: 1
     230: 2
     231: 1
     232: 2
     233: 1
     234: 1
     235: 1
     236: q+1
     237: q+1
     238: q+1
     239: q+1
     240: q+1
     241: q+1
     242: 1
     244: 1
     246: 1
     248: 1
     250: 1
     252: 1
     253: 1
     256: 1
     257: 1
     258: 1
     259: 1
     260: q+1
     261: q+1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     267: 1
     268: 2
     270: 1
     272: 1
     274: 1
     275: 1
     276: 1
     278: 1
     280: 1
     282: q+1
     283: q+1
     284: q+1
     285: q+1
     286: q+1
     287: q+1
     288: 1
     289: 1
     290: 1
     291: 1
     292: 1
     293: 2
     294: 2
     295: 1
     296: 2
     297: 1
     298: 1
     299: 1
     300: 2
     301: 1
     302: 2
     303: 1
     304: 1
     305: 1
     306: 1
     308: 1
     310: 1
     312: 1
     314: 1
     316: 1
     318: 1
     320: 1
     321: 1
     324: 1
     325: 1
     326: 1
     327: 2
     329: 1
     331: 1
     333: 1
     334: 1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 2
     341: 1
     343: 1
     345: 1
     346: 1
     347: 1
     348: 1
     350: 2
     351: q+1
     352: q+1
     353: 1
     354: 1
     355: 1
     356: 1
     357: 1
     358: 2
     359: 1
     360: 1
     361: 2
     362: 1
     363: 2
     364: 1
     365: 1
     366: 1
     367: 1
     369: 1
     371: 1
     373: 1
     375: 1
     377: 1
     379: 1
     380: 1
     383: 1
     385: 1
     387: 1
     388: 1
     393: 2
     395: 1
     397: 1
     399: 1
     400: 1
     401: 1
     402: 1
     403: 1
     404: 1
     405: 1
     406: 1
     407: 1
     411: 2
     412: 1
     413: 1
     414: 1
     415: 1
     416: 1
     417: 1
     418: 1
     419: 1
     420: 2
     421: 1
     422: 2
     423: 1
     424: 1
     425: 1
     426: 1
     428: 1
     430: 1
     432: 1
     438: 1
     439: 1
     442: 1
     444: 1
     446: 1
     454: 2
     456: 1
     458: 1
     460: 1
     461: 1
     462: 1
     463: 1
     464: 1
     465: 1
     469: 2
     470: 1
     471: 1
     472: 1
     473: 1
     474: 1
     475: 1
     476: 1
     485: 1
     487: 1
     489: 1
     495: 1
     496: 1
     499: 1
     501: 1
     503: 1
     512: 1
     513: 1
     518: 1
     519: 1
     520: 1
     521: 1
     530: 1
     540: 1
     542: 1
     552: 1
     553: 1
     574: 1

575:   5: q^4+q^3
      10: q^3
      11: q^4+q^3
      14: q^3
      15: q^3
      17: q^3
      18: q^3
      19: q^3
      30: q^3
      31: q^3
      35: q^3
      37: q^3
      41: q^3
      43: q^3
      47: q^4+q^3
      67: q^3
      68: q^3
      72: q^3
      74: q^3
      78: q^3
      82: q^3
      84: q^3
     106: q^3
     117: q^3
     121: q^3
     123: q^3
     127: q^3
     129: q^3
     154: q^3
     164: q^3
     180: q^3
     182: q^3
     215: q^3
     226: 1
     227: 1
     228: q+1
     229: 1
     256: 1
     257: 1
     259: 1
     277: 1
     279: 1
     281: 1
     313: 1
     315: 1
     324: 1
     334: 1
     340: 2
     342: 1
     344: 1
     355: 1
     374: 1
     376: 1
     378: 1
     389: 1
     390: 1
     394: 2
     396: 1
     398: 1
     401: 1
     413: 1
     427: 1
     431: 1
     433: 1
     440: 1
     441: 1
     445: 1
     455: 2
     457: 1
     459: 1
     470: 1
     486: 1
     488: 1
     490: 1
     497: 1
     498: 1
     502: 1
     504: 1
     531: 1
     541: 1
     543: 1
     575: 1

576:   0: 2q+1
       1: 2q+1
       2: q^2+2q+1
       3: 2q+1
       4: 2q+1
       5: q+1
       6: 2q+1
       7: 2q+1
       8: q^2+2q+1
       9: 2q+1
      10: q+1
      11: q+1
      12: q+1
      13: 2q+1
      14: q^5+q+1
      15: q+1
      16: q+1
      17: q^5+q+1
      18: 1
      19: 1
      20: q+1
      21: q+1
      22: q+1
      23: q+1
      24: q+1
      25: 1
      26: 2q+1
      27: 2q+1
      28: 2q+1
      29: 2q+1
      30: q^5+q+1
      31: 1
      32: 2q+1
      33: 2q+1
      34: q+1
      35: q+1
      36: q+1
      37: 1
      38: 2q+1
      39: 2q+1
      40: 2q+1
      41: q+1
      42: 2q+1
      43: q+1
      44: 2q+1
      45: 2q+1
      46: q^2+2q+1
      47: q+1
      48: q+1
      49: 1
      50: q+1
      51: q+1
      52: 2q+1
      53: 2q+1
      54: q+1
      55: 2q+1
      56: 2q+1
      57: q+1
      58: q+1
      59: q+1
      60: q+1
      61: q+1
      62: 1
      63: 2q+1
      64: 2q+1
      65: q+1
      66: q+1
      67: q+1
      68: 1
      69: 2q+1
      70: q+1
      71: 2q+1
      72: q+1
      73: q+1
      74: 1
      75: 2q+1
      76: 2q+1
      77: q^2+2q+1
      78: q+1
      79: 2q+1
      80: 2q+1
      81: 2q+1
      82: q+1
      83: 2q+1
      84: q+1
      85: q+1
      86: 1
      87: q+1
      88: q+1
      89: q+1
      90: q+1
      91: q+1
      92: 1
      93: 2q+1
      94: q+1
      95: 2q+1
      96: q+1
      97: 2q+1
      98: q+1
      99: q+1
     100: 2q+1
     101: 2q+1
     102: 2q+1
     104: 2q+1
     106: q+1
     108: q+1
     109: q+1
     110: q+1
     111: q+1
     112: 1
     113: 1
     114: q+1
     115: 1
     116: q+1
     117: 1
     118: 2q+1
     119: q+1
     120: 2q+1
     121: q+1
     122: q+1
     123: 1
     124: 2q+1
     125: q+1
     126: 2q+1
     127: q+1
     128: q+1
     129: 1
     130: q+1
     132: 2q+1
     134: q+1
     135: 1
     136: q+1
     137: 1
     138: 1
     139: 1
     140: q+1
     141: 1
     142: q+1
     143: q+1
     144: q+1
     145: 2q+1
     146: q+1
     147: q+1
     148: q+1
     149: q+1
     150: q+1
     152: 1
     154: 1
     156: q+1
     157: 1
     158: q+1
     159: q+1
     160: 2q+1
     161: q+1
     162: 1
     163: q+1
     164: 1
     165: q+1
     166: q+1
     167: q+1
     168: q+1
     169: 1
     170: 1
     171: 2q+1
     172: q+1
     173: 2q+1
     174: q+1
     175: q+1
     176: 1
     177: 2q+1
     178: q+1
     179: 2q+1
     180: q+1
     181: q+1
     182: 1
     183: 1
     185: 1
     187: q+1
     189: 1
     190: 1
     191: q+1
     192: 1
     193: 1
     194: q+1
     195: q+1
     196: 1
     197: q+1
     198: 1
     199: 1
     200: q+1
     201: q+1
     202: q+1
     203: q+1
     204: 1
     205: q+1
     207: 1
     209: 1
     211: q+1
     213: 1
     215: 1
     217: q+1
     218: 1
     219: q+1
     220: 1
     221: q+1
     222: q+1
     223: 2q+1
     224: q+1
     225: 2q+1
     230: 2q+1
     231: q+1
     232: 2q+1
     233: q+1
     234: q+1
     235: 1
     236: q+1
     237: q+1
     238: q+1
     239: q+1
     240: 1
     241: 1
     242: 1
     244: 1
     246: 1
     248: 1
     250: 1
     252: q+1
     258: 1
     260: q+1
     261: 1
     262: 1
     263: 1
     264: q+1
     265: 1
     266: q+1
     267: 1
     268: q+1
     270: 1
     272: 1
     274: q+1
     275: q+1
     282: q+1
     283: 1
     284: q+1
     285: 1
     286: q+1
     287: 1
     288: 1
     289: q+1
     290: q+1
     291: q+1
     292: q+1
     293: 2q+1
     294: 2
     295: 2
     296: 2
     297: 1
     298: 2
     299: 1
     300: q+1
     301: q+1
     302: q+1
     303: q+1
     304: 1
     305: 1
     306: 1
     308: 1
     310: 1
     316: 1
     318: 1
     320: q+1
     325: 1
     326: 1
     327: 2
     329: 2
     331: 1
     333: 1
     335: 2
     336: 2
     337: q+1
     338: 1
     345: q+1
     346: 1
     347: q+1
     348: 1
     349: 1
     350: 2
     351: q+1
     352: 1
     353: 1
     354: 1
     356: q+1
     357: 1
     358: q+1
     359: q+1
     360: q+1
     361: 1
     362: 1
     363: 1
     364: 1
     365: 1
     367: 1
     369: 2
     371: 1
     379: 1
     380: 1
     383: 1
     385: 1
     391: 1
     399: 1
     402: 1
     403: 1
     404: 1
     405: 1
     406: q+1
     407: 1
     408: 1
     409: 1
     410: 2
     411: 1
     412: 1
     414: q+1
     415: 1
     416: 2
     417: 2
     418: q+1
     419: 1
     420: 1
     421: 1
     422: 1
     423: 1
     424: 1
     428: 1
     434: 1
     435: 1
     442: 1
     446: 2
     448: 1
     450: 1
     452: 2
     460: 1
     462: 1
     463: 1
     464: 1
     466: 1
     468: 1
     469: 1
     471: 1
     472: 1
     473: 1
     474: 1
     475: q+1
     476: 1
     477: 1
     478: 1
     499: 1
     505: 1
     509: 1
     512: 1
     514: 1
     516: 1
     517: 1
     518: 1
     520: 1
     521: 1
     536: 1
     544: 1
     550: 1
     552: 1
     576: 1

577:   0: 2q+1
       1: 2q+1
       2: q^2+2q+1
       3: 2q+1
       4: 2q+1
       5: q+1
       6: 2q+1
       7: 2q+1
       8: q^2+2q+1
       9: 2q+1
      10: q+1
      11: q+1
      12: q+1
      13: 2q+1
      14: 1
      15: q+1
      16: q+1
      17: 1
      18: q^5+q+1
      19: q^5+q+1
      20: q+1
      21: q+1
      22: q+1
      23: 1
      24: q+1
      25: q+1
      26: 2q+1
      27: 2q+1
      28: 2q+1
      29: 2q+1
      30: 1
      31: q^5+q+1
      32: 2q+1
      33: 2q+1
      34: q+1
      35: 1
      36: q+1
      37: q+1
      38: 2q+1
      39: 2q+1
      40: 2q+1
      41: q+1
      42: 2q+1
      43: q+1
      44: 2q+1
      45: 2q+1
      46: q^2+2q+1
      47: q+1
      48: 1
      49: q+1
      50: q+1
      51: q+1
      52: 2q+1
      53: 2q+1
      54: q+1
      55: 2q+1
      56: 2q+1
      57: q+1
      58: q+1
      59: q+1
      60: q+1
      61: 1
      62: q+1
      63: 2q+1
      64: 2q+1
      65: q+1
      66: q+1
      67: 1
      68: q+1
      69: 2q+1
      70: q+1
      71: 2q+1
      72: 1
      73: q+1
      74: q+1
      75: 2q+1
      76: 2q+1
      77: q^2+2q+1
      78: q+1
      79: 2q+1
      80: 2q+1
      81: 2q+1
      82: q+1
      83: 2q+1
      84: q+1
      85: 1
      86: q+1
      87: q+1
      88: q+1
      89: q+1
      90: q+1
      91: 1
      92: q+1
      93: 2q+1
      94: q+1
      95: 2q+1
      96: q+1
      97: 2q+1
      98: q+1
      99: q+1
     100: 2q+1
     101: 2q+1
     102: 2q+1
     104: 2q+1
     106: q+1
     108: q+1
     109: q+1
     110: 1
     111: 1
     112: q+1
     113: q+1
     114: q+1
     115: 1
     116: q+1
     117: 1
     118: 2q+1
     119: q+1
     120: 2q+1
     121: 1
     122: q+1
     123: q+1
     124: 2q+1
     125: q+1
     126: 2q+1
     127: 1
     128: q+1
     129: q+1
     130: q+1
     132: 2q+1
     134: 1
     135: q+1
     136: 1
     137: q+1
     138: 1
     139: 1
     140: 1
     141: q+1
     142: q+1
     143: q+1
     144: q+1
     145: 2q+1
     146: q+1
     147: q+1
     148: q+1
     149: q+1
     150: q+1
     152: 1
     154: 1
     156: 1
     157: q+1
     158: q+1
     159: q+1
     160: 2q+1
     161: q+1
     162: 1
     163: q+1
     164: 1
     165: q+1
     166: 1
     167: q+1
     168: 1
     169: q+1
     170: q+1
     171: 2q+1
     172: q+1
     173: 2q+1
     174: 1
     175: q+1
     176: q+1
     177: 2q+1
     178: q+1
     179: 2q+1
     180: 1
     181: q+1
     182: q+1
     183: 1
     185: 1
     187: q+1
     189: 1
     190: 1
     191: 1
     192: q+1
     193: 1
     194: q+1
     195: 1
     196: q+1
     197: 1
     198: q+1
     199: 1
     200: q+1
     201: q+1
     202: q+1
     203: 1
     204: q+1
     205: q+1
     207: 1
     209: 1
     211: q+1
     213: 1
     215: 1
     217: 1
     218: q+1
     219: 1
     220: q+1
     221: q+1
     222: q+1
     223: 2q+1
     224: q+1
     225: 2q+1
     230: 2q+1
     231: q+1
     232: 2q+1
     233: 1
     234: q+1
     235: q+1
     236: q+1
     237: 1
     238: q+1
     239: 1
     240: q+1
     241: q+1
     242: 1
     244: 1
     246: 1
     248: 1
     250: 1
     252: q+1
     258: 1
     260: 1
     261: q+1
     262: 1
     263: 1
     264: 1
     265: q+1
     266: 1
     267: q+1
     268: q+1
     270: 1
     272: 1
     274: q+1
     275: q+1
     282: 1
     283: q+1
     284: 1
     285: q+1
     286: 1
     287: q+1
     288: 1
     289: q+1
     290: q+1
     291: q+1
     292: q+1
     293: 2q+1
     294: 2
     295: 2
     296: 2
     297: 1
     298: 2
     299: 1
     300: q+1
     301: 1
     302: q+1
     303: 1
     304: q+1
     305: q+1
     306: 1
     308: 1
     310: 1
     316: 1
     318: 1
     320: q+1
     325: 1
     326: 1
     327: 2
     329: 2
     331: 1
     333: 1
     335: 2
     336: 2
     337: 1
     338: q+1
     345: 1
     346: q+1
     347: 1
     348: q+1
     349: 1
     350: 2
     351: 1
     352: q+1
     353: 1
     354: 1
     356: 1
     357: q+1
     358: q+1
     359: q+1
     360: q+1
     361: 1
     362: 1
     363: 1
     365: 1
     366: 1
     367: 1
     369: 2
     371: 1
     379: 1
     380: 1
     383: 1
     385: 1
     391: 1
     400: 1
     402: 1
     403: 1
     404: 1
     405: 1
     406: 1
     407: q+1
     408: 1
     409: 1
     410: 2
     411: 1
     412: 1
     414: 1
     415: q+1
     416: 2
     417: 2
     418: 1
     419: q+1
     420: 1
     421: 1
     422: 1
     424: 1
     425: 1
     428: 1
     434: 1
     435: 1
     442: 1
     446: 2
     448: 1
     450: 1
     452: 2
     461: 1
     462: 1
     463: 1
     465: 1
     466: 1
     468: 1
     469: 1
     471: 1
     472: 1
     473: 1
     474: 1
     475: 1
     476: q+1
     477: 1
     478: 1
     499: 1
     505: 1
     509: 1
     513: 1
     514: 1
     516: 1
     517: 1
     519: 1
     520: 1
     521: 1
     536: 1
     544: 1
     551: 1
     553: 1
     577: 1

578:   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+1
      11: q^2+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^2+q+1
      21: q+1
      22: q^2+q+1
      23: q+1
      24: q+1
      25: q+1
      26: q^2+q+1
      27: q+1
      28: q^2+q+1
      29: q+1
      30: q+1
      31: q+1
      32: q^2+q+1
      33: q^2+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^2+q+1
      45: q^2+q+1
      46: q^2+q+1
      47: q^2+q+1
      48: q+1
      49: q+1
      50: q+1
      51: q+1
      52: q+1
      53: q+1
      54: q^2+q+1
      55: q^2+q+1
      56: q^2+q+1
      57: q^2+q+1
      58: q+1
      59: q^2+q+1
      60: q+1
      61: q+1
      62: q+1
      63: q^2+q+1
      64: q^2+q+1
      65: q+1
      66: 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
      77: q^2+q+1
      78: q+1
      79: q+1
      80: q+1
      81: q+1
      82: q+1
      83: q+1
      84: q+1
      85: q+1
      86: q+1
      87: q+1
      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: q^2+q+1
      97: q^2+q+1
      98: q+1
      99: q+1
     100: q+1
     101: q+1
     102: q+1
     104: q+1
     106: q+1
     108: q^2+q+1
     109: q^2+q+1
     110: q+1
     111: q+1
     112: q+1
     113: q+1
     114: q+1
     115: q+1
     116: q^2+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
     125: q+1
     126: q+1
     127: q+1
     128: q+1
     129: q+1
     130: q+1
     132: q+1
     134: q+1
     135: q+1
     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: q+1
     146: q+1
     147: q^2+q+1
     148: q+1
     149: q+1
     150: q+1
     152: q+1
     154: q+1
     156: q+1
     157: q+1
     158: q+1
     159: q+1
     160: q+1
     161: q+1
     162: q+1
     163: q^2+q+1
     164: q+1
     165: q+1
     166: q+1
     167: q+1
     168: q+1
     169: q+1
     170: q+1
     171: q+1
     172: 1
     173: q+1
     174: 1
     175: 1
     176: 1
     177: q+1
     178: q+1
     179: q+1
     180: q+1
     181: q+1
     182: q+1
     183: q+1
     185: q+1
     187: q+1
     189: q+1
     190: q+1
     191: q+1
     192: q+1
     193: q+1
     194: q+1
     195: q+1
     196: q+1
     197: q+1
     198: q+1
     199: q+1
     200: q+1
     201: 1
     202: 1
     203: 1
     204: 1
     205: q+1
     207: 1
     209: 1
     211: q+1
     213: q+1
     215: 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^2+q+1
     229: q+1
     230: q+1
     231: 1
     232: q+1
     233: 1
     234: 1
     235: 1
     236: q+1
     237: q+1
     238: q+1
     239: q+1
     240: q+1
     241: q+1
     242: 1
     244: 1
     246: q+1
     248: q+1
     250: q+1
     252: q+1
     256: q+1
     257: q+1
     258: q+1
     259: q+1
     260: q+1
     261: q+1
     262: q+1
     263: q+1
     264: 1
     265: 1
     266: 1
     267: 1
     268: q+1
     270: 1
     272: 1
     274: 1
     275: 1
     276: q+1
     278: q+1
     280: q+1
     282: q+1
     283: q+1
     284: q+1
     285: q+1
     286: q+1
     287: q+1
     288: q+1
     289: q+1
     290: q+1
     291: 1
     292: 1
     293: q+1
     294: q+1
     295: 1
     296: q+1
     297: 1
     298: 1
     299: 1
     300: q+1
     301: 1
     302: q+1
     303: 1
     304: 1
     305: 1
     306: 1
     308: 1
     310: 1
     312: q+1
     314: q+1
     316: q+1
     318: 1
     320: q+1
     324: q+1
     325: 1
     326: 1
     327: q+1
     329: 1
     331: 1
     333: q+1
     334: q+1
     335: 1
     336: 1
     337: 1
     338: 1
     339: q+1
     341: 1
     343: 1
     345: 1
     346: 1
     347: 1
     348: 1
     349: 1
     350: q+1
     351: q+1
     352: q+1
     353: q+1
     354: q+1
     355: q+1
     356: 1
     357: 1
     358: q+1
     359: 1
     360: 1
     361: q+1
     362: 1
     363: q+1
     364: 1
     365: 1
     366: 1
     367: 1
     369: 1
     371: 1
     373: 1
     375: 1
     377: q+1
     379: q+1
     383: 1
     385: 1
     387: q+1
     391: 1
     393: q+1
     395: 1
     397: 1
     399: 1
     400: 1
     401: q+1
     402: 1
     403: 1
     404: 1
     405: 1
     406: 1
     407: 1
     408: 1
     409: 1
     410: 1
     411: q+1
     412: q+1
     413: q+1
     414: 1
     415: 1
     416: 1
     417: 1
     418: 1
     419: 1
     420: q+1
     421: 1
     422: q+1
     423: 1
     424: 1
     425: 1
     426: 1
     428: 1
     430: 1
     432: 1
     434: 1
     438: q+1
     442: 1
     444: 1
     446: 1
     448: 1
     450: 1
     452: 1
     454: q+1
     456: 1
     458: 1
     460: 1
     461: 1
     462: 1
     463: 1
     464: 1
     465: 1
     466: 1
     467: 1
     468: 1
     469: q+1
     470: q+1
     471: 1
     472: 1
     473: 1
     474: 1
     475: 1
     476: 1
     477: 1
     485: 1
     487: 1
     489: 1
     491: 1
     495: q+1
     499: 1
     501: 1
     503: 1
     505: 1
     507: 1
     509: 1
     511: 1
     512: 1
     513: 1
     514: 1
     515: 1
     518: 1
     519: 1
     520: 1
     521: 1
     522: 1
     530: 1
     532: 1
     538: 1
     540: 1
     542: 1
     544: 1
     546: 1
     548: 1
     549: 1
     552: 1
     553: 1
     554: 1
     562: 1
     570: 1
     572: 1
     574: 1
     578: 1

579:   0: 3q^3+4q^2+2q
       1: q^3+3q^2+2q
       2: 3q^3+4q^2+2q
       3: q^3+3q^2+2q
       4: 3q^3+4q^2+2q
       5: q^3+3q^2+2q
       6: 2q^2+2q
       7: q^3+3q^2+2q
       8: 3q^3+4q^2+2q
       9: q^3+3q^2+2q
      10: 2q^2+2q
      11: q^3+3q^2+2q
      12: 2q^2+2q
      13: 2q^2+2q
      14: 2q^2+2q
      15: 2q^2+2q
      16: 2q^2+2q
      17: q^2+q
      18: 2q^2+2q
      19: q^2+q
      20: q^3+3q^2+2q
      21: 2q^2+2q
      22: q^3+3q^2+2q
      23: 2q^2+2q
      24: 2q^2+2q
      25: 2q^2+2q
      26: q^3+3q^2+2q
      27: 2q^2+2q
      28: q^3+3q^2+2q
      29: 2q^2+2q
      30: q^2+q
      31: q^2+q
      32: 3q^3+4q^2+2q
      33: 3q^3+4q^2+2q
      34: 2q^2+2q
      35: 2q^2+2q
      36: 2q^2+2q
      37: 2q^2+2q
      38: q^3+3q^2+2q
      39: 2q^2+2q
      40: q^3+3q^2+2q
      41: 2q^2+2q
      42: 2q^2+2q
      43: 2q^2+2q
      44: 3q^3+4q^2+2q
      45: q^3+3q^2+2q
      46: 3q^3+4q^2+2q
      47: q^3+3q^2+2q
      48: 2q^2+2q
      49: 2q^2+2q
      50: 2q^2+2q
      51: 2q^2+2q
      52: 2q^2+2q
      53: 2q^2+2q
      54: q^3+3q^2+2q
      55: q^3+3q^2+2q
      56: 3q^3+4q^2+2q
      57: q^3+3q^2+2q
      58: 2q^2+2q
      59: q^3+3q^2+2q
      60: 2q^2+2q
      61: q^2+q
      62: q^2+q
      63: q^3+3q^2+2q
      64: q^3+3q^2+2q
      65: 2q^2+2q
      66: 2q^2+2q
      67: q^2+q
      68: q^2+q
      69: q^3+3q^2+2q
      70: 2q^2+2q
      71: q^3+3q^2+2q
      72: 2q^2+2q
      73: 2q^2+2q
      74: 2q^2+2q
      75: 2q^2+2q
      76: q^2+2q
      77: 2q^3+3q^2+2q
      78: q^2+2q
      79: q^3+3q^2+2q
      80: 2q^2+2q
      81: q^3+3q^2+2q
      82: 2q^2+2q
      83: 2q^2+2q
      84: 2q^2+2q
      85: q^2+q
      86: q^2+q
      87: 2q^2+2q
      88: 2q^2+2q
      89: 2q^2+2q
      90: 2q^2+2q
      91: 2q^2+2q
      92: 2q^2+2q
      93: 2q^2+2q
      94: q^2+2q
      95: q^2+2q
      96: q^3+3q^2+2q
      97: q^3+3q^2+2q
      98: 2q^2+2q
      99: 2q^2+2q
     100: 2q^2+2q
     101: 2q^2+2q
     102: 2q^2+2q
     104: q^2+2q
     106: q^2+2q
     108: q^3+3q^2+2q
     109: q^3+3q^2+2q
     110: 2q^2+2q
     111: q^2+q
     112: 2q^2+2q
     113: q^2+q
     114: 2q^2+2q
     115: q^2+2q
     116: 2q^3+3q^2+2q
     117: q^2+2q
     118: 2q^2+2q
     119: 2q^2+2q
     120: 2q^2+2q
     121: q^2+q
     122: 2q^2+2q
     123: q^2+q
     124: q^3+3q^2+2q
     125: 2q^2+2q
     126: q^3+3q^2+2q
     127: 2q^2+2q
     128: 2q^2+2q
     129: 2q^2+2q
     130: q^2+2q
     132: q^2+2q
     134: q^2+q
     135: q^2+q
     136: 2q^2+2q
     137: 2q^2+2q
     138: q^2+2q
     139: q^2+2q
     140: q^2+q
     141: q^2+q
     142: 2q^2+2q
     143: 2q^2+2q
     144: 2q^2+2q
     145: q^2+2q
     146: q^2+2q
     147: q^3+3q^2+2q
     148: 2q^2+2q
     149: 2q^2+2q
     150: 2q^2+2q
     152: q^2+2q
     154: q^2+2q
     156: 2q^2+2q
     157: 2q^2+2q
     158: 2q^2+2q
     159: 2q^2+2q
     160: 2q^2+2q
     161: q
     162: q
     163: q^2+q
     165: 2q^2+2q
     166: 2q^2+2q
     167: 2q^2+2q
     168: q^2+q
     169: 2q^2+2q
     170: q^2+q
     171: 3q^2+3q
     172: 2q
     173: 3q^2+3q
     174: 2q
     175: 2q
     176: 2q
     177: 2q^2+2q
     178: 2q^2+2q
     179: 2q^2+2q
     180: q^2+q
     181: 2q^2+2q
     182: q^2+q
     183: q^2+2q
     185: q^2+2q
     187: q^2+2q
     190: q
     191: q^2+q
     192: q^2+q
     193: q^2+2q
     194: q
     195: q^2+q
     196: q^2+q
     197: 2q^2+2q
     198: 2q^2+2q
     199: q^2+2q
     200: q^2+2q
     201: 2q
     202: 2q
     203: 2q
     204: 2q
     205: 3q^2+3q
     207: 2q
     209: 2q
     211: q
     213: q
     217: 2q^2+2q
     218: 2q^2+2q
     219: q^2+q
     220: q^2+q
     221: 2q^2+2q
     222: 2q^2+2q
     223: q^2+2q
     224: 2q^2+2q
     225: 3q^2+3q
     226: q
     227: q
     228: q^2+q
     230: q^2+3q
     231: 2q
     232: q^2+3q
     233: q
     234: 2q
     235: q
     236: 2q^2+2q
     237: 2q^2+2q
     238: 2q^2+2q
     239: q^2+q
     240: 2q^2+2q
     241: q^2+q
     242: 2q
     244: 2q
     248: q
     250: q^2+2q
     252: 2q^2+2q
     253: q^2+q
     257: q
     259: q
     260: q^2+q
     261: q^2+q
     262: q
     263: q^2+2q
     264: 2q
     265: 2q
     266: q
     267: q
     268: 2q
     270: q
     274: 2q
     275: 2q
     276: q
     278: q
     282: q^2+q
     283: q^2+q
     284: q^2+q
     285: q^2+q
     286: 2q^2+2q
     287: 2q^2+2q
     288: q^2+2q
     289: q
     290: q^2+2q
     291: 2q
     292: 2q
     293: q^2+3q
     294: q^2+3q
     295: 2q
     296: q^2+3q
     297: q
     298: 2q
     299: q
     300: q^2+3q
     301: 2q
     302: q^2+3q
     303: q
     304: 2q
     305: q
     306: q
     308: 2q
     314: q
     318: 2q
     320: q
     321: q
     325: q
     326: q
     327: 2q
     329: q
     334: q
     335: 2q
     336: 2q
     337: q
     338: q
     339: 2q
     341: q
     345: q
     346: q
     347: 2q
     348: 2q
     349: q
     350: q^2+3q
     351: q^2+q
     352: q^2+q
     353: q
     354: q^2+2q
     355: q
     356: 2q
     357: 2q
     358: q^2+3q
     359: 2q
     360: 2q
     361: q^2+3q
     362: 2q
     363: q^2+3q
     364: q
     365: 2q
     366: q
     369: q
     373: q
     379: q
     380: q
     383: q
     385: 2q
     387: q
     388: q
     391: q
     393: 2q
     395: q
     399: q
     400: q
     402: q
     403: q
     404: 2q
     405: 2q
     406: q
     407: q
     408: q
     410: q
     411: q^2+3q
     413: q
     414: q
     415: q
     416: 2q
     417: 2q
     418: 2q
     419: 2q
     420: q+1
     421: 1
     422: q+1
     423: 1
     424: 1
     425: 1
     430: q
     438: q
     439: q
     444: q
     446: q
     448: q
     452: q
     454: q+1
     456: 1
     458: 1
     460: 1
     461: 1
     462: 1
     463: 1
     464: q
     465: q
     468: q
     469: q+1
     471: q
     472: q
     473: 2q
     474: 2q
     475: q
     476: q
     485: 1
     487: 1
     496: q+1
     503: q
     509: q
     512: 1
     513: 1
     514: 1
     518: q
     519: q
     520: 1
     521: 1
     530: 1
     533: 1
     542: 1
     544: 1
     549: 1
     552: 1
     553: 1
     555: 1
     563: 1
     572: 1
     574: 1
     579: 1

580:   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^2+q
      10: q^4+q
      11: q
      12: q^2+q
      13: q^2+q
      14: q^4+q
      15: q^4+q
      16: q^2+q
      17: q^4+q
      18: q^4+q
      19: q^4+q
      20: q
      21: q
      22: q
      23: q
      24: q
      25: q
      26: q^3+q^2+q
      27: q^2+q
      28: q^3+q^2+q
      29: q^2+q
      30: q^4+q
      31: q^4+q
      32: q^3+q^2+q
      33: q^3+q^2+q
      34: q^2+q
      35: q^4+q
      36: q^2+q
      37: q^4+q
      38: q^2+q
      39: q^2+q
      40: q^2+q
      41: q
      42: q^2+q
      43: q
      44: q^3+q^2+q
      45: q^3+q^2+q
      46: q^3+q^2+q
      47: q
      48: q
      49: q
      50: q
      51: q
      52: q^2+q
      53: q^2+q
      54: q
      55: q^3+q^2+q
      56: q^3+q^2+q
      57: q
      58: q
      59: q
      60: q
      61: q
      62: q
      63: q^3+q^2+q
      64: q^3+q^2+q
      65: q^2+q
      66: q^2+q
      67: q^4+q
      68: q^4+q
      69: q^2+q
      70: q^2+q
      71: q^2+q
      72: q
      73: q^2+q
      74: q
      75: q^2+q
      76: q^2+q
      77: q^3+q^2+q
      78: q^3+q
      79: q^2+q
      80: q^2+q
      81: q^2+q
      82: q
      83: q^2+q
      84: q
      85: q
      86: q
      87: q^2+q
      88: q^2+q
      89: q
      90: q
      91: q
      92: q
      93: q^2+q
      94: q
      95: q^2+q
      96: q
      97: q^3+q^2+q
      98: q
      99: q
     100: q^2+q
     101: q^2+q
     102: q^2+q
     104: q^2+q
     106: q
     107: q^3
     108: q
     109: q
     110: q
     111: q
     112: q
     113: q
     114: q^2+q
     115: q^2+q
     116: q^3+q^2+q
     117: q^3+q
     118: q^2+q
     119: q^2+q
     120: q^2+q
     121: q
     122: q^2+q
     123: q
     124: q^2+q
     125: q^2+q
     126: q^2+q
     127: q
     128: q^2+q
     129: q
     130: q
     132: q^2+q
     134: q
     135: q
     136: q
     137: q
     138: q^2+q
     139: q
     140: q
     141: q
     142: q^2+q
     143: q^2+q
     144: q^2+q
     145: q^2+q
     146: q
     147: q
     148: q^2+q
     149: q^2+q
     150: q^2+q
     152: q^2+q
     154: q
     155: q^3
     156: q
     157: q
     158: q
     159: q
     160: q^2+q
     161: q^2+q
     162: q^2+q
     163: q^3+q^2+q
     164: q^3+q
     165: q
     166: q
     167: q
     168: q
     169: q
     170: q
     171: q^2+q
     172: q
     173: q^2+q
     174: q
     175: q
     176: q
     177: q^2+q
     178: q^2+q
     179: q^2+q
     180: q
     181: q^2+q
     182: q
     183: q^2+q
     185: q
     187: q
     189: q
     190: q^2+q
     191: q
     192: q
     193: q
     194: q^2+q
     195: q
     196: q
     197: q
     198: q
     199: q^2+q
     200: q
     201: q
     202: q
     203: q
     204: q
     205: q^2+q
     207: q
     209: q
     211: q^2+q
     213: q^2+q
     215: q
     216: q^3
     217: q
     218: q
     219: q
     220: q
     221: q^2+q
     222: q^2+q
     223: q^2+q
     224: q^2+q
     225: q^2+q
     226: 2q
     227: 2q
     228: q
     229: 2q
     230: q^2+q
     231: q
     232: q^2+q
     233: q
     234: q
     235: q
     236: q
     237: q
     238: q
     239: q
     240: q
     241: q
     242: q
     244: q
     246: q
     248: q^2+q
     250: q
     252: q^2+q
     256: 2q
     257: 2q
     258: q
     259: q
     260: q
     261: q
     262: q^2+q
     263: q
     264: q
     265: q
     266: q
     267: q
     268: q^2+q
     270: q
     272: q
     274: q
     275: q
     276: q
     277: q
     278: q
     279: q
     280: q
     281: q
     282: q
     283: q
     284: q
     285: q
     286: q
     287: q
     288: q^2+q
     289: q^2+q
     290: q
     291: q
     292: q
     293: q^2+q
     294: q^2+q
     295: q
     296: q^2+q
     297: q
     298: q
     299: q
     306: q
     308: q
     310: q
     312: q
     313: q
     314: q
     315: q
     316: q
     318: q
     320: q^2+q
     324: 2q
     325: q
     326: q
     327: q^2+q
     329: q
     331: q
     333: q
     334: q
     335: q
     336: q
     337: q
     338: q
     342: q
     344: q
     349: q
     350: q^2+q
     351: q
     352: q
     353: q^2+q
     354: q
     355: q
     356: q
     357: q
     359: q
     360: q
     367: q
     369: q
     371: q
     376: q
     377: q
     378: q
     379: q^2+q
     383: q
     385: q
     391: q
     396: q
     398: q
     401: q
     402: q
     403: q
     409: q
     410: q
     412: q
     413: q
     414: q
     415: q
     416: q
     417: q
     427: q
     428: q
     434: q
     442: q
     446: q
     450: q
     452: q
     457: q
     459: q
     467: 1
     470: q
     471: q
     472: q
     477: q
     486: q
     493: 1
     499: q
     507: 1
     515: 1
     524: 1
     534: 1
     546: 1
     548: 1
     556: 1
     564: 1
     570: 1
     580: 1

581:   0: q
       1: q
       2: q
       3: q^2+q
       4: q
       5: q
       6: q^2+q
       7: q
       8: q
       9: q^2+q
      10: q^2+q
      11: q
      12: q^2+q
      13: q^2+q
      14: q^2+q
      15: q^2+q
      16: q^2+q
      17: q^2+q
      18: q^2+q
      19: q^2+q
      20: q
      21: q^2+q
      22: q
      23: q^2+q
      24: q^2+q
      25: q^2+q
      26: q
      27: q^2+q
      28: q
      29: q^2+q
      30: q^2+q
      31: q^2+q
      32: q
      33: q
      34: q^2+q
      35: q^2+q
      36: q^2+q
      37: q^2+q
      38: q
      39: q
      40: q
      41: q
      42: q
      43: q
      44: q
      45: q
      46: q
      47: q
      48: q^2+q
      49: q^2+q
      50: q
      51: q
      52: q
      53: q
      54: q
      55: q
      56: q
      57: q
      58: q^2+q
      59: q
      60: q^2+q
      61: q^2+q
      62: q^2+q
      63: q
      64: q
      65: q^2+q
      66: q^2+q
      67: q^2+q
      68: q^2+q
      69: q
      70: q
      71: q
      72: q
      73: q
      74: q
      75: 2q
      76: 2q
      77: q
      78: 2q
      79: q
      80: q
      81: q
      82: q
      83: q
      84: q
      85: q^2+q
      86: q^2+q
      87: q
      88: q
      89: q
      90: q
      91: q
      92: q
      93: q
      94: 2q
      95: 2q
      96: q
      97: q
      98: q
      99: q
     100: q
     101: q
     102: q
     103: q
     104: q
     105: q
     106: q
     107: q
     108: q
     109: q
     110: q^2+q
     111: q^2+q
     112: q^2+q
     113: q^2+q
     114: 2q
     115: 2q
     116: q
     117: 2q
     118: q
     119: q
     120: q
     121: q
     122: q
     123: q
     124: q
     125: q
     126: q
     127: q
     128: q
     129: q
     130: q
     131: q
     132: q
     133: q
     134: q^2+q
     135: q^2+q
     136: q
     137: q
     138: 2q
     139: 2q
     140: q
     141: q
     142: q
     143: q
     144: q
     145: q
     146: 2q
     147: q
     148: q
     149: q
     150: q
     151: q
     152: q
     153: q
     154: q
     155: q
     156: q
     157: q
     158: q
     159: q
     160: q
     161: 2q
     162: 2q
     163: q
     164: 2q
     165: q
     166: q
     167: q
     168: q
     169: q
     170: q
     172: q
     174: q
     175: q
     176: q
     177: q
     178: q
     179: q
     180: q
     181: q
     182: q
     183: q
     184: q
     185: q
     186: q
     187: q
     188: q
     189: 2q
     190: 2q
     191: q
     192: q
     193: 2q
     194: q
     195: q
     196: q
     197: q
     198: q
     199: q
     200: q
     203: q
     204: q
     207: q
     209: q
     211: q
     212: 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
     226: 2q
     227: 2q
     228: q
     229: 2q
     231: q
     233: q
     234: q
     235: q
     236: q
     237: q
     238: q
     239: q
     240: q
     241: q
     244: q
     246: q
     247: q
     248: q
     249: q
     250: q
     251: q
     256: 2q
     257: 2q
     258: 2q
     259: q
     260: q
     261: q
     262: q
     263: q
     266: q
     267: q
     270: q
     272: q
     276: q
     277: q
     278: q
     279: q
     280: q
     281: q
     282: q
     283: q
     284: q
     285: q
     286: q
     287: q
     288: q
     289: q
     290: q
     295: q
     297: q
     298: q
     299: q
     301: q
     303: q
     304: q
     305: q
     310: q
     312: q
     313: q
     314: q
     315: q
     316: q
     317: q
     324: 2q
     325: q
     326: q
     329: q
     331: q
     333: q
     334: q
     341: q
     343: q
     345: q
     346: q
     349: 1
     351: q
     352: q
     353: q
     354: q
     355: q
     362: q
     364: q
     365: q
     366: q
     367: q
     375: q
     377: q
     378: q
     392: 1
     395: q
     397: q
     399: q
     400: q
     401: q
     408: 1
     409: 1
     410: 1
     412: q
     413: q
     421: q
     423: q
     424: q
     425: q
     426: q
     434: 1
     449: 1
     451: 1
     453: 1
     456: q
     458: q
     460: q
     461: q
     466: 1
     467: 1
     468: 1
     470: q
     480: 1
     485: q
     491: 1
     506: 1
     508: 1
     510: 1
     511: 1
     514: 1
     515: 1
     525: 1
     532: 1
     539: 1
     545: 1
     547: 1
     548: 1
     549: 1
     557: 1
     562: 1
     571: 1
     573: 1
     581: 1

582:   0: q^3+2q^2
       1: 2q^2
       2: q^3+2q^2
       3: q^4+3q^3+2q^2
       4: q^3+2q^2
       5: 2q^2
       6: 2q^3+2q^2
       7: 2q^2
       8: q^3+2q^2
       9: q^4+3q^3+2q^2
      10: 2q^3+2q^2
      11: 2q^2
      12: 2q^3+2q^2
      13: 2q^3+2q^2
      14: 2q^3+2q^2
      15: 2q^3+2q^2
      16: 2q^3+2q^2
      17: q^3+q^2
      18: 2q^3+2q^2
      19: q^3+q^2
      20: 2q^2
      21: 2q^3+2q^2
      22: 2q^2
      23: 2q^3+2q^2
      24: 2q^3+2q^2
      25: 2q^3+2q^2
      26: 2q^2
      27: 2q^3+2q^2
      28: 2q^2
      29: 2q^3+2q^2
      30: q^3+q^2
      31: q^3+q^2
      32: q^3+2q^2
      33: q^3+2q^2
      34: 2q^3+2q^2
      35: 2q^3+2q^2
      36: 2q^3+2q^2
      37: 2q^3+2q^2
      38: q^3+2q^2
      39: 2q^2
      40: q^3+2q^2
      41: 2q^2
      42: 2q^2
      43: 2q^2
      44: q^3+2q^2
      45: 2q^2
      46: q^3+2q^2
      47: 2q^2
      48: 2q^3+2q^2
      49: 2q^3+2q^2
      50: 2q^2
      51: 2q^2
      52: 2q^2
      53: 2q^2
      54: 2q^2
      55: 2q^2
      56: q^3+2q^2
      57: 2q^2
      58: 2q^3+2q^2
      59: 2q^2
      60: 2q^3+2q^2
      61: q^3+q^2
      62: q^3+q^2
      63: 2q^2
      64: 2q^2
      65: 2q^3+2q^2
      66: 2q^3+2q^2
      67: q^3+q^2
      68: q^3+q^2
      69: q^3+2q^2
      70: 2q^2
      71: q^3+2q^2
      72: 2q^2
      73: 2q^2
      74: 2q^2
      75: q^3+3q^2
      76: 3q^2
      77: q^2
      78: 3q^2
      79: q^3+2q^2
      80: 2q^2
      81: q^3+2q^2
      82: 2q^2
      83: 2q^2
      84: 2q^2
      85: q^3+q^2
      86: q^3+q^2
      87: 2q^2
      88: 2q^2
      89: 2q^2
      90: 2q^2
      91: 2q^2
      92: 2q^2
      93: q^2
      94: 3q^2
      95: 3q^2
      96: 2q^2
      97: 2q^2
      98: 2q^2
      99: 2q^2
     100: 2q^2
     101: 2q^2
     102: q^3+2q^2
     103: q^2
     104: 2q^2
     105: q^2
     106: 2q^2
     107: q^2
     108: 2q^2
     109: 2q^2
     110: 2q^3+2q^2
     111: q^3+q^2
     112: 2q^3+2q^2
     113: q^3+q^2
     114: q^3+3q^2
     115: 3q^2
     116: q^2
     117: 3q^2
     118: 2q^2
     119: 2q^2
     120: 2q^2
     121: q^2
     122: 2q^2
     123: q^2
     124: q^3+2q^2
     125: 2q^2
     126: q^3+2q^2
     127: 2q^2
     128: 2q^2
     129: 2q^2
     130: 2q^2
     131: q^2
     132: 2q^2
     133: q^2
     134: q^3+q^2
     135: q^3+q^2
     136: 2q^2
     137: 2q^2
     138: 3q^2
     139: 3q^2
     140: q^2
     141: q^2
     142: 2q^2
     143: 2q^2
     144: q^2
     145: q^2
     146: 3q^2
     147: 2q^2
     148: 2q^2
     149: 2q^2
     150: q^3+2q^2
     151: q^2
     152: 2q^2
     153: q^2
     154: 2q^2
     155: q^2
     156: 2q^2
     157: 2q^2
     158: 2q^2
     159: 2q^2
     160: q^2
     161: q^2
     162: q^2
     165: 2q^2
     166: 2q^2
     167: 2q^2
     168: q^2
     169: 2q^2
     170: q^2
     172: 2q^2
     174: 2q^2
     175: 2q^2
     176: 2q^2
     177: 2q^2
     178: 2q^2
     179: 2q^2
     180: q^2
     181: 2q^2
     182: q^2
     183: 2q^2
     184: q^2
     185: 2q^2
     186: q^2
     187: 2q^2
     188: q^2
     190: q^2
     191: q^2
     192: q^2
     193: 3q^2
     195: q^2
     196: q^2
     197: 2q^2
     198: 2q^2
     199: q^2
     200: q^2
     203: 2q^2
     204: 2q^2
     207: 2q^2
     209: 2q^2
     211: q^2
     213: q^2
     217: 2q^2
     218: 2q^2
     219: q^2
     220: q^2
     221: 2q^2
     222: 2q^2
     223: q^2
     224: q^2
     226: q^2
     227: q^2
     231: 2q^2
     233: q^2
     234: 2q^2
     235: q^2
     236: 2q^2
     237: 2q^2
     238: 2q^2
     239: q^2
     240: 2q^2
     241: q^2
     244: 2q^2
     248: q^2
     250: 2q^2
     251: q^2
     257: q^2
     260: q^2
     261: q^2
     263: q^2
     266: q^2
     267: q^2
     270: q^2
     276: q^2
     278: q^2
     282: q^2
     283: q^2
     284: q^2
     285: q^2
     286: 2q^2
     287: 2q^2
     288: q^2
     290: q^2
     295: 2q^2
     297: q^2
     298: 2q^2
     299: q^2
     301: 2q^2
     303: q^2
     304: 2q^2
     305: q^2
     314: q^2
     325: q^2
     326: q^2
     329: q^2
     341: q^2
     345: q^2
     346: q^2
     349: q
     351: q^2
     352: q^2
     354: q^2
     362: 2q^2
     364: q^2
     365: 2q^2
     366: q^2
     392: q
     395: q^2
     399: q^2
     400: q^2
     408: q
     410: q
     421: q
     423: q
     424: q
     425: q
     449: q
     453: q
     456: q
     458: q
     460: q
     461: q
     468: q
     485: q
     510: q
     514: 1
     533: 1
     545: 1
     549: 1
     558: 1
     563: 1
     573: 1
     582: 1

583:   0: q^2
       1: q^2
       2: q^2
       3: q^3+q^2
       4: q^2
       5: q^4+q^3+q^2
       6: q^3+q^2
       7: q^2
       8: q^2
       9: q^3+q^2
      10: q^3+q^2
      11: q^4+q^3+q^2
      12: q^3+q^2
      13: q^3+q^2
      14: q^3+q^2
      15: q^3+q^2
      16: q^3+q^2
      17: q^3+q^2
      18: q^3+q^2
      19: q^3+q^2
      20: q^2
      21: q^2
      22: q^2
      23: q^2
      24: q^2
      25: q^2
      26: q^2
      27: q^3+q^2
      28: q^2
      29: q^3+q^2
      30: q^3+q^2
      31: q^3+q^2
      32: q^2
      33: q^2
      34: q^3+q^2
      35: q^3+q^2
      36: q^3+q^2
      37: q^3+q^2
      38: q^2
      39: q^2
      40: q^2
      41: q^3+q^2
      42: q^2
      43: q^3+q^2
      44: q^2
      45: q^2
      46: q^2
      47: q^4+q^3+q^2
      48: q^2
      49: q^2
      50: q^2
      51: q^2
      52: q^2
      53: q^2
      54: q^2
      55: q^2
      56: q^2
      57: q^2
      58: q^2
      59: q^2
      60: q^2
      61: q^2
      62: q^2
      63: q^2
      64: q^2
      65: q^3+q^2
      66: q^3+q^2
      67: q^3+q^2
      68: q^3+q^2
      69: q^2
      70: q^2
      71: q^2
      72: q^3+q^2
      73: q^2
      74: q^3+q^2
      75: 2q^2
      76: 2q^2
      77: q^2
      78: q^3+q^2
      79: q^2
      80: q^2
      81: q^2
      82: q^3+q^2
      83: q^2
      84: q^3+q^2
      85: q^2
      86: q^2
      87: q^2
      88: q^2
      89: q^2
      90: q^2
      91: q^2
      92: q^2
      93: q^2
      94: q^2
      95: 2q^2
      96: q^2
      97: q^2
      98: q^2
      99: q^2
     100: q^2
     101: q^2
     102: q^2
     103: q^2
     104: q^2
     105: q^2
     106: q^3+q^2
     108: q^2
     109: q^2
     110: q^2
     111: q^2
     112: q^2
     113: q^2
     114: 2q^2
     115: 2q^2
     116: q^2
     117: q^3+q^2
     118: q^2
     119: q^2
     120: q^2
     121: q^3+q^2
     122: q^2
     123: q^3+q^2
     124: q^2
     125: q^2
     126: q^2
     127: q^3+q^2
     128: q^2
     129: q^3+q^2
     130: q^2
     132: q^2
     133: q^2
     134: q^2
     135: q^2
     136: q^2
     137: q^2
     138: 2q^2
     139: q^2
     140: q^2
     141: q^2
     142: q^2
     143: q^2
     144: q^2
     145: q^2
     146: q^2
     147: q^2
     148: q^2
     149: q^2
     150: q^2
     151: q^2
     152: q^2
     153: q^2
     154: q^3+q^2
     156: q^2
     157: q^2
     158: q^2
     159: q^2
     160: q^2
     161: 2q^2
     162: 2q^2
     163: q^2
     164: q^3+q^2
     172: q^2
     174: q^2
     175: q^2
     176: q^2
     177: q^2
     178: q^2
     179: q^2
     180: q^3+q^2
     181: q^2
     182: q^3+q^2
     183: q^2
     184: q^2
     185: q^2
     187: q^2
     189: q^2
     190: 2q^2
     191: q^2
     192: q^2
     193: q^2
     194: q^2
     199: q^2
     203: q^2
     204: q^2
     207: q^2
     209: q^2
     211: q^2
     212: q^2
     213: q^2
     214: q^2
     215: q^3+q^2
     217: q^2
     218: q^2
     219: q^2
     220: q^2
     221: q^2
     222: q^2
     223: q^2
     224: q^2
     226: q+1
     227: q+1
     228: q^2+q+1
     229: q+1
     231: q^2
     233: q^2
     234: q^2
     235: q^2
     244: q^2
     246: q^2
     248: q^2
     249: q^2
     250: q^2
     256: q+1
     257: q+1
     258: q^2
     259: q+1
     262: q^2
     266: q^2
     267: q^2
     270: q^2
     272: q^2
     277: q+1
     279: q+1
     281: q+1
     282: q^2
     283: q^2
     288: q^2
     289: q^2
     295: q^2
     297: q^2
     298: q^2
     299: q^2
     310: q^2
     313: q+1
     315: q+1
     316: q^2
     324: q+1
     325: q^2
     326: q^2
     329: q^2
     331: q^2
     334: q+1
     340: q+1
     342: 1
     344: 1
     349: q
     353: q^2
     355: q+1
     367: q^2
     374: 1
     376: 1
     378: q+1
     389: q+1
     392: q
     394: q+1
     396: 1
     398: 1
     401: q+1
     409: q
     410: q
     413: q+1
     427: 1
     431: 1
     433: 1
     434: q
     440: q+1
     445: 1
     451: q
     453: q
     455: q+1
     457: 1
     459: 1
     467: 1
     470: q+1
     480: q
     486: 1
     488: 1
     490: 1
     493: 1
     497: q+1
     502: 1
     504: 1
     508: 1
     515: 1
     527: 1
     531: 1
     534: 1
     541: 1
     543: 1
     547: 1
     548: 1
     559: 1
     564: 1
     571: 1
     575: 1
     583: 1

584:   5: q^5+q^4
      10: q^4
      11: q^5+q^4
      14: q^4
      15: q^4
      18: q^4
      35: q^4
      37: q^4
      41: q^4
      43: q^4
      47: q^5+q^4
      72: q^4
      74: q^4
      78: q^4
      82: q^4
      84: q^4
     106: q^4
     117: q^4
     127: q^4
     129: q^4
     154: q^4
     226: q
     227: q
     228: q^2+q
     257: q
     259: q
     277: q
     279: q
     315: q
     334: q
     340: 2q
     342: q
     355: q
     374: q
     389: q
     390: q
     394: 2q
     396: q
     413: q
     431: q
     440: q
     441: q
     445: q
     455: q+1
     457: 1
     459: 1
     486: 1
     488: 1
     498: q+1
     504: q
     531: 1
     535: 1
     543: 1
     560: 1
     565: 1
     575: 1
     584: 1

585:  10: q^5
      14: q^5
      15: q^5
      18: q^5
      35: q^5
      37: q^5
      78: q^4
     107: q^4
     117: q^4
     155: q^4
     226: q^2
     227: q^2
     257: q^2
     277: q^2
     279: q^2
     315: q^2
     342: q^2
     396: q^2
     457: q
     459: q
     486: q
     535: 1
     561: 1
     565: 1
     585: 1

586:   0: 2q+1
       1: 2q+1
       2: q^2+2q+1
       3: 2q+1
       4: 2q+1
       5: 2q+1
       6: 2q+1
       7: 2q+1
       8: q^2+2q+1
       9: 2q+1
      10: 2q+1
      11: 2q+1
      12: q+1
      13: 2q+1
      14: q+1
      15: 2q+1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      20: 2q+1
      21: 2q+1
      22: 2q+1
      23: q+1
      24: 2q+1
      25: q+1
      26: 2q+1
      27: 2q+1
      28: 2q+1
      29: 2q+1
      30: q+1
      31: q+1
      32: 2q+1
      33: 2q+1
      34: q+1
      35: q+1
      36: q+1
      37: q+1
      38: 2q+1
      39: 2q+1
      40: 2q+1
      41: 2q+1
      42: 2q+1
      43: 2q+1
      44: 2q+1
      45: 2q+1
      46: q^2+2q+1
      47: 2q+1
      48: q+1
      49: q+1
      50: 2q+1
      51: 2q+1
      52: 2q+1
      53: 2q+1
      54: 2q+1
      55: 2q+1
      56: 2q+1
      57: 2q+1
      58: 2q+1
      59: 2q+1
      60: 2q+1
      61: q+1
      62: q+1
      63: 2q+1
      64: 2q+1
      65: q+1
      66: q+1
      67: q+1
      68: q+1
      69: 2q+1
      70: q+1
      71: 2q+1
      72: q+1
      73: q+1
      74: q+1
      75: 2q+1
      76: 2q+1
      77: q^2+2q+1
      78: 2q+1
      79: 2q+1
      80: 2q+1
      81: 2q+1
      82: 2q+1
      83: 2q+1
      84: 2q+1
      85: q+1
      86: q+1
      87: q+1
      88: q+1
      89: 2q+1
      90: 2q+1
      91: q+1
      92: q+1
      93: 2q+1
      94: 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
     104: 2q+1
     106: 2q+1
     108: 2q+1
     109: 2q+1
     110: q+1
     111: q+1
     112: q+1
     113: q+1
     114: q+1
     115: 1
     116: q+1
     117: 1
     118: 2q+1
     119: q+1
     120: 2q+1
     121: q+1
     122: q+1
     123: q+1
     124: 2q+1
     125: q+1
     126: 2q+1
     127: q+1
     128: q+1
     129: q+1
     130: 2q+1
     132: 2q+1
     134: q+1
     135: q+1
     136: q+1
     137: q+1
     138: 1
     139: 1
     140: q+1
     141: q+1
     142: q+1
     143: q+1
     144: q+1
     145: 2q+1
     146: 2q+1
     147: 2q+1
     148: q+1
     149: q+1
     150: q+1
     152: 1
     154: 1
     156: q+1
     157: q+1
     158: 2q+1
     159: 2q+1
     160: 2q+1
     161: q+1
     162: 1
     163: q+1
     164: 1
     165: 2q+1
     166: q+1
     167: 2q+1
     168: q+1
     169: q+1
     170: q+1
     171: 2q+1
     172: q+1
     173: 2q+1
     174: q+1
     175: q+1
     176: q+1
     177: 2q+1
     178: q+1
     179: 2q+1
     180: q+1
     181: q+1
     182: q+1
     183: 1
     185: 1
     187: 2q+1
     189: 1
     190: 1
     191: q+1
     192: q+1
     193: 1
     194: q+1
     195: q+1
     196: q+1
     197: q+1
     198: q+1
     199: 1
     200: 2q+1
     201: q+1
     202: q+1
     203: q+1
     204: q+1
     205: q+1
     207: 1
     209: 1
     211: q+1
     213: 1
     215: 1
     217: q+1
     218: q+1
     219: q+1
     220: q+1
     221: q+1
     222: q+1
     223: 2q+1
     224: q+1
     225: 2q+1
     226: q+1
     227: 1
     228: q+1
     229: 1
     230: 2q+1
     231: q+1
     232: 2q+1
     233: q+1
     234: q+1
     235: q+1
     236: 2q+1
     237: q+1
     238: 2q+1
     239: q+1
     240: q+1
     241: q+1
     242: 1
     244: 1
     246: 1
     248: 1
     250: 1
     252: q+1
     256: 1
     257: 1
     258: 1
     259: q+1
     260: q+1
     261: q+1
     262: 1
     263: 1
     264: q+1
     265: q+1
     266: q+1
     267: q+1
     268: q+1
     270: 1
     272: 1
     274: q+1
     275: q+1
     276: q+1
     278: 1
     280: 1
     282: q+1
     283: q+1
     284: q+1
     285: q+1
     286: q+1
     287: q+1
     288: 1
     289: q+1
     290: 2q+1
     291: q+1
     292: q+1
     293: 2q+1
     294: 2
     295: 2
     296: 2
     297: 1
     298: 2
     299: 1
     300: 2q+1
     301: q+1
     302: 2q+1
     303: q+1
     304: q+1
     305: q+1
     306: 1
     308: 1
     310: 1
     312: 1
     314: 1
     316: 1
     318: 1
     320: q+1
     324: 1
     325: 1
     326: 1
     327: 2
     329: 2
     331: 1
     333: 1
     334: 1
     335: 2
     336: 2
     337: q+1
     338: q+1
     339: q+1
     341: 1
     343: 1
     345: q+1
     346: q+1
     347: q+1
     348: q+1
     349: 1
     350: 2
     351: q+1
     352: q+1
     353: 1
     354: 1
     355: q+1
     356: q+1
     357: q+1
     358: 2q+1
     359: q+1
     360: q+1
     361: 2
     362: 2
     363: 2
     364: 1
     365: 2
     366: 1
     367: 1
     369: 2
     371: 1
     373: 1
     375: 1
     377: 1
     379: 1
     380: 1
     383: 1
     385: 1
     387: q+1
     391: 1
     393: 2
     395: 2
     397: 1
     399: 1
     400: 1
     401: 1
     402: 1
     403: 1
     404: 2
     405: 2
     406: q+1
     407: q+1
     408: 1
     409: 1
     410: 2
     411: 2
     412: 1
     413: 1
     414: q+1
     415: q+1
     416: 2
     417: 2
     418: q+1
     419: q+1
     420: 2
     421: 2
     422: 2
     423: 1
     424: 2
     425: 1
     426: 1
     428: 1
     430: 2
     432: 1
     434: 1
     435: 1
     438: 1
     439: 1
     442: 1
     444: 1
     446: 2
     448: 1
     450: 1
     452: 2
     454: 2
     456: 2
     458: 1
     460: 1
     461: 1
     462: 2
     463: 2
     464: 1
     465: 1
     466: 1
     467: 1
     468: 2
     469: 2
     470: 1
     471: 1
     472: 1
     473: 2
     474: 2
     475: q+1
     476: q+1
     477: 1
     478: 1
     485: 1
     487: 2
     489: 1
     491: 1
     492: 1
     495: 1
     496: 1
     499: 1
     501: 1
     503: 2
     505: 1
     507: 1
     509: 2
     512: 1
     513: 1
     514: 2
     515: 1
     516: 1
     517: 1
     518: 1
     519: 1
     520: 2
     521: 2
     522: 1
     523: 1
     530: 1
     532: 1
     533: 1
     536: 1
     540: 1
     542: 2
     544: 2
     546: 1
     550: 1
     551: 1
     552: 1
     553: 1
     554: 1
     555: 1
     566: 1
     574: 1
     576: 1
     577: 1
     586: 1

587:   5: q^4+q^3
      10: q^4+q^3
      11: q^4+q^3
      14: q^3
      15: q^4+q^3
      17: q^3
      18: q^3
      19: q^3
      30: q^3
      31: q^3
      35: q^3
      37: q^3
      41: q^4+q^3
      43: q^4+q^3
      47: q^4+q^3
      67: q^3
      68: q^3
      72: q^3
      74: q^3
      78: q^4+q^3
      82: q^4+q^3
      84: q^4+q^3
     106: q^4+q^3
     117: q^3
     121: q^3
     123: q^3
     127: q^3
     129: q^3
     154: q^3
     164: q^3
     174: q^3
     176: q^3
     180: q^3
     182: q^3
     209: q^3
     215: q^3
     226: q+1
     227: 1
     228: q+1
     229: 1
     233: q^3
     235: q^3
     256: 1
     257: 1
     259: q+1
     272: q^3
     277: q+1
     279: 1
     281: 1
     313: 1
     315: 1
     324: 1
     334: 1
     340: q+1
     342: 1
     344: 1
     355: q+1
     374: 1
     376: 1
     378: 1
     389: q+1
     394: 2
     396: 2
     398: 1
     401: 1
     413: 1
     427: 1
     431: 2
     433: 1
     440: 1
     441: 1
     445: 1
     455: 2
     457: 2
     459: 1
     467: 1
     470: 1
     486: 1
     488: 2
     490: 1
     493: 1
     494: 1
     497: 1
     498: 1
     502: 1
     504: 2
     508: 1
     515: 1
     527: 1
     528: 1
     531: 1
     534: 1
     535: 1
     541: 1
     543: 2
     547: 1
     559: 1
     560: 1
     567: 1
     575: 1
     587: 1

588:   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: q^3+1
      10: 1
      11: 1
      12: 1
      13: 1
      14: 1
      15: 1
      16: 1
      17: q^5+1
      18: 1
      19: q^5+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: q^3+1
      33: q^3+1
      34: 1
      35: 1
      36: 1
      37: 1
      38: q^3+1
      39: 1
      40: q^3+1
      41: 1
      42: 1
      43: 1
      44: q^3+1
      45: 1
      46: q^3+1
      47: 1
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: q^3+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: q^3+1
      70: 1
      71: q^3+1
      72: 1
      73: 1
      74: 1
      75: q^3+1
      76: 1
      77: q^3+1
      78: 1
      79: q^3+1
      80: 1
      81: q^3+1
      82: 1
      83: 1
      84: 1
      85: 1
      86: 1
      87: 1
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: q^3+1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: q^3+1
     104: 1
     106: 1
     108: 1
     109: 1
     110: 1
     111: 1
     112: 1
     113: 1
     114: q^3+1
     115: 1
     116: q^3+1
     117: 1
     118: 1
     119: 1
     120: 1
     121: 1
     122: 1
     123: 1
     124: q^3+1
     125: 1
     126: q^3+1
     127: 1
     128: 1
     129: 1
     130: 1
     132: 1
     134: 1
     135: 1
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: 1
     144: q^3+1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: q^3+1
     152: 1
     154: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: q^3+1
     161: 1
     162: 1
     163: 1
     164: q^2+1
     165: 1
     166: 1
     167: 1
     168: 1
     169: 1
     170: 1
     171: q^3+1
     172: 1
     173: q^3+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
     190: 1
     191: 1
     192: 1
     193: 1
     194: 1
     195: 1
     196: 1
     197: 1
     198: 1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: q^3+1
     207: 1
     209: 1
     211: 1
     213: 1
     215: 1
     216: q^2
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     223: 1
     224: q^3+1
     225: q^3+1
     226: 1
     227: 1
     228: 1
     229: q^2+1
     230: 1
     231: 1
     232: 1
     233: 1
     234: 1
     235: 1
     236: 1
     237: 1
     238: 1
     239: 1
     240: 1
     241: 1
     242: 1
     244: 1
     246: 1
     248: 1
     250: 1
     252: q^3+1
     256: 1
     257: 1
     258: 1
     259: 1
     260: 1
     261: 1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     267: 1
     268: 1
     270: 1
     272: 1
     273: q^2
     274: 1
     275: 1
     276: 1
     278: 1
     280: 1
     281: q^2
     282: 1
     283: 1
     284: 1
     285: 1
     286: 1
     287: 1
     288: 1
     289: 1
     290: 1
     291: 1
     292: 1
     293: 1
     294: 1
     295: 1
     296: 1
     297: 1
     298: 1
     299: 1
     300: 1
     301: 1
     302: 1
     303: 1
     304: 1
     305: 1
     306: 1
     308: 1
     310: 1
     312: 1
     314: 1
     316: 1
     318: 1
     320: 1
     324: 1
     325: 1
     326: 1
     327: 1
     329: 1
     331: 1
     332: q^2
     333: 1
     334: 1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     341: 1
     343: 1
     344: q^2
     345: 1
     346: 1
     347: 1
     348: 1
     349: 1
     350: 1
     351: 1
     352: 1
     353: 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
     369: 1
     371: 1
     373: 1
     375: 1
     377: 1
     379: 1
     383: 1
     385: 1
     387: 1
     391: 1
     393: 1
     395: 1
     397: 1
     398: q^2
     399: 1
     400: 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
     413: 1
     414: 1
     415: 1
     416: 1
     417: 1
     418: 1
     419: 1
     426: 1
     428: 1
     430: 1
     432: 1
     434: 1
     438: 1
     442: 1
     444: 1
     446: 1
     448: 1
     450: 1
     452: 1
     464: 1
     465: 1
     466: 1
     467: 1
     468: 1
     470: 1
     471: 1
     472: 1
     473: 1
     474: 1
     475: 1
     476: 1
     477: 1
     489: 1
     491: 1
     499: 1
     501: 1
     503: 1
     505: 1
     507: 1
     509: 1
     511: 1
     515: 1
     516: 1
     517: 1
     518: 1
     519: 1
     522: 1
     536: 1
     538: 1
     540: 1
     546: 1
     548: 1
     550: 1
     551: 1
     566: 1
     568: 1
     570: 1
     588: 1

589:   1: q^2
       5: q^2
       6: q^2
       7: q^2
      10: q^2
      11: q^2
      12: q^2
      13: q^2
      14: q^2
      15: q^2
      16: q^2
      17: q^3+q^2
      18: q^2
      19: q^3+q^2
      20: q^2
      21: q^2
      22: q^2
      23: q^2
      24: q^2
      25: q^2
      30: q^2
      31: q^2
      34: q^2
      35: q^2
      36: q^2
      37: q^2
      39: q^2
      41: q^2
      42: q^2
      43: q^2
      45: q^2
      47: q^2
      48: q^2
      49: q^2
      50: q^2
      51: q^2
      54: q^2
      61: q^2
      62: q^2
      67: q^2
      68: q^2
      70: q^2
      72: q^2
      73: q^2
      74: q^2
      76: q^2
      78: q^2
      80: q^2
      82: q^2
      83: q^2
      84: q^2
      91: q^2
      92: q^2
      94: q^2
      98: q^2
      99: q^2
     104: q^2
     106: q^2
     111: q^2
     113: q^2
     115: q^2
     117: q^2
     121: q^2
     123: q^2
     125: q^2
     127: q^2
     128: q^2
     129: q^2
     130: q^2
     139: q^2
     152: q^2
     154: q^2
     156: q^2
     157: q^2
     161: 1
     162: 1
     163: 1
     164: q^2+1
     168: q^2
     170: q^2
     172: q^2
     174: q^2
     175: q^2
     176: q^2
     180: q^2
     182: q^2
     185: q^2
     189: 1
     190: 1
     194: 1
     203: q^2
     204: q^2
     207: q^2
     209: q^2
     212: 1
     214: 1
     215: q^2
     216: 1
     226: 1
     227: 1
     228: 1
     229: q^2+1
     233: q^2
     235: q^2
     239: q^2
     241: q^2
     244: q^2
     247: 1
     249: 1
     256: 1
     257: 1
     258: 1
     259: 1
     262: 1
     269: 1
     271: 1
     272: q^2
     273: 1
     277: 1
     279: 1
     280: q^2
     281: 1
     289: 1
     297: q^2
     299: q^2
     303: q^2
     305: q^2
     307: 1
     311: 1
     313: 1
     315: 1
     317: 1
     322: 1
     324: 1
     328: 1
     330: 1
     331: q^2
     332: 1
     333: 1
     334: 1
     340: 1
     342: 1
     343: q^2
     344: 1
     353: 1
     355: 1
     364: q^2
     366: q^2
     368: 1
     370: 1
     372: 1
     374: 1
     376: 1
     378: 1
     381: 1
     384: 1
     389: 1
     394: 1
     396: 1
     397: q^2
     398: 1
     401: 1
     409: 1
     412: 1
     413: 1
     427: 1
     429: 1
     431: 1
     433: 1
     436: 1
     440: 1
     443: 1
     445: 1
     447: 1
     451: 1
     466: 1
     467: 1
     470: 1
     482: 1
     490: 1
     493: 1
     500: 1
     502: 1
     504: 1
     506: 1
     508: 1
     511: 1
     515: 1
     527: 1
     537: 1
     539: 1
     541: 1
     547: 1
     548: 1
     567: 1
     569: 1
     571: 1
     589: 1

590:   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: q+1
      10: 1
      11: 1
      12: q+1
      13: q+1
      14: 1
      15: 1
      16: q+1
      17: 1
      18: 1
      19: 1
      20: 1
      21: 1
      22: 1
      23: 1
      24: 1
      25: 1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      30: 1
      31: 1
      32: q+1
      33: q+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: q+1
      45: q+1
      46: q+1
      47: 1
      48: 1
      49: 1
      50: 1
      51: 1
      52: q+1
      53: q+1
      54: 1
      55: q+1
      56: q+1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: 1
      63: q+1
      64: q+1
      65: q+1
      66: q+1
      67: 1
      68: 1
      69: q+1
      70: q+1
      71: q+1
      72: 1
      73: q+1
      74: 1
      75: q+1
      76: q+1
      77: q+1
      78: 1
      79: q+1
      80: q+1
      81: q+1
      82: 1
      83: q+1
      84: 1
      85: 1
      86: 1
      87: q+1
      88: q+1
      89: 1
      90: 1
      91: 1
      92: 1
      93: q+1
      94: 1
      95: q+1
      96: 1
      97: q+1
      98: 1
      99: 1
     100: q+1
     101: q+1
     102: q+1
     104: q+1
     106: 1
     108: 1
     109: 1
     110: 1
     111: 1
     112: 1
     113: 1
     114: q+1
     115: q+1
     116: q+1
     117: 1
     118: q+1
     119: q+1
     120: q+1
     121: 1
     122: q+1
     123: 1
     124: q+1
     125: q+1
     126: q+1
     127: 1
     128: q+1
     129: 1
     130: 1
     132: q+1
     134: 1
     135: 1
     136: 1
     137: 1
     138: q+1
     139: 1
     140: 1
     141: 1
     142: q+1
     143: q+1
     144: q+1
     145: q+1
     146: 1
     147: 1
     148: q+1
     149: q+1
     150: q+1
     152: q+1
     154: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: q+1
     161: q+1
     162: q+1
     163: q+1
     164: 1
     165: 1
     166: 1
     167: 1
     168: 1
     169: 1
     170: 1
     171: q+1
     172: q+1
     173: q+1
     174: 1
     175: q+1
     176: 1
     177: q+1
     178: q+1
     179: q+1
     180: 1
     181: q+1
     182: 1
     183: q+1
     185: 1
     187: 1
     189: 1
     190: q+1
     191: 1
     192: 1
     193: 1
     194: q+1
     195: 1
     196: 1
     197: 1
     198: 1
     199: q+1
     200: 1
     201: q+1
     202: q+1
     203: 1
     204: 1
     205: q+1
     207: q+1
     209: 1
     211: q+1
     213: q+1
     215: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: q+1
     222: q+1
     223: q+1
     224: q+1
     225: q+1
     230: q+1
     231: q+1
     232: q+1
     233: 1
     234: q+1
     235: 1
     236: 1
     237: 1
     238: 1
     239: 1
     240: 1
     241: 1
     242: q+1
     244: 1
     246: 1
     248: q+1
     250: 1
     252: q+1
     258: 1
     260: 1
     261: 1
     262: q+1
     263: 1
     264: 1
     265: 1
     266: 1
     267: 1
     268: q+1
     270: q+1
     272: 1
     274: q+1
     275: q+1
     282: 1
     283: 1
     284: 1
     285: 1
     286: 1
     287: 1
     288: q+1
     289: q+1
     290: 1
     291: q+1
     292: q+1
     293: q+1
     294: q+1
     295: q+1
     296: q+1
     297: 1
     298: q+1
     299: 1
     300: 1
     301: 1
     302: 1
     303: 1
     304: 1
     305: 1
     306: q+1
     308: 1
     310: 1
     316: 1
     318: q+1
     320: q+1
     325: 1
     326: 1
     327: q+1
     329: q+1
     331: 1
     333: 1
     335: q+1
     336: q+1
     337: 1
     338: 1
     345: 1
     346: 1
     347: 1
     348: 1
     349: q+1
     350: q+1
     351: 1
     352: 1
     353: q+1
     354: 1
     356: 1
     357: 1
     358: 1
     359: q+1
     360: q+1
     361: 1
     362: 1
     363: 1
     364: 1
     365: 1
     366: 1
     367: 1
     369: q+1
     371: 1
     379: q+1
     383: q+1
     385: 1
     391: q+1
     399: 1
     400: 1
     402: 1
     403: 1
     404: 1
     405: 1
     406: 1
     407: 1
     408: 1
     409: q+1
     410: q+1
     411: 1
     412: 1
     414: 1
     415: 1
     416: q+1
     417: q+1
     418: 1
     419: 1
     420: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     428: 1
     434: q+1
     442: 1
     446: q+1
     448: 1
     450: q+1
     452: q+1
     460: 1
     461: 1
     462: 1
     463: 1
     464: 1
     465: 1
     466: 1
     468: 1
     469: 1
     471: 1
     472: 1
     473: 1
     474: 1
     475: 1
     476: 1
     477: q+1
     499: 1
     505: 1
     509: 1
     511: 1
     512: 1
     513: 1
     514: 1
     516: 1
     517: 1
     518: 1
     519: 1
     520: 1
     521: 1
     536: 1
     538: 1
     544: 1
     549: 1
     550: 1
     551: 1
     552: 1
     553: 1
     568: 1
     572: 1
     576: 1
     577: 1
     590: 1

591:   0: q^3+q^2
       1: q^3+q^2
       3: q^3+q^2
       4: q^3+q^2
       5: q^2
       6: q^3+q^2
       7: q^3+q^2
       9: q^3+q^2
      10: q^2
      11: q^2
      12: q^4+2q^3+q^2
      13: q^3+q^2
      14: q^3+q^2
      15: q^2
      16: q^4+2q^3+q^2
      17: q^3+q^2
      18: q^3+q^2
      19: q^3+q^2
      20: q^2
      21: q^2
      22: q^2
      23: q^3+q^2
      24: q^2
      25: q^3+q^2
      26: q^3+q^2
      27: q^3+q^2
      28: q^3+q^2
      29: q^3+q^2
      30: q^3+q^2
      31: q^3+q^2
      34: q^3+q^2
      35: q^2
      36: q^3+q^2
      37: q^2
      38: q^3+q^2
      39: q^3+q^2
      40: q^3+q^2
      41: q^2
      42: q^3+q^2
      43: q^2
      44: q^3+q^2
      45: q^3+q^2
      47: q^2
      48: q^2
      49: q^2
      50: q^2
      51: q^2
      52: q^3+q^2
      53: q^3+q^2
      54: q^2
      55: q^3+q^2
      57: q^2
      58: q^2
      59: q^2
      60: q^2
      61: q^3+q^2
      62: q^3+q^2
      65: q^3+q^2
      66: q^3+q^2
      67: q^2
      68: q^2
      70: q^3+q^2
      72: q^2
      73: q^3+q^2
      74: q^2
      75: q^3+q^2
      76: q^3+q^2
      78: q^2
      79: q^3+q^2
      80: q^3+q^2
      81: q^3+q^2
      82: q^2
      83: q^3+q^2
      84: q^2
      85: q^2
      86: q^2
      89: q^2
      90: q^2
      91: q^2
      92: q^2
      94: q^2
      95: q^3+q^2
      96: q^2
      98: q^2
      99: q^2
     100: q^3+q^2
     101: q^3+q^2
     102: q^3+q^2
     104: q^3+q^2
     106: q^2
     110: q^2
     111: q^2
     112: q^2
     113: q^2
     114: q
     115: q^3+q^2+q
     116: q
     117: q^2+q
     119: q^3+q^2
     121: q^2
     122: q^3+q^2
     123: q^2
     125: q^3+q^2
     127: q^2
     128: q^3+q^2
     129: q^2
     130: q^2
     132: q^3+q^2
     134: q^2
     135: q^2
     138: q
     139: q^2+q
     140: q^2
     141: q^2
     144: q
     146: q^2
     151: q
     152: q^3+q^2
     153: q
     154: q^2
     155: q
     156: q^2
     157: q^2
     158: q^2
     159: q^2
     161: q
     162: q^3+q^2+q
     163: q
     164: q^2+q
     166: q^2
     168: q^2
     169: q^2
     170: q^2
     172: q^3+q^2
     174: q^2
     175: q^3+q^2
     176: q^2
     178: q^3+q^2
     180: q^2
     181: q^3+q^2
     182: q^2
     184: q
     185: q^2
     186: q
     187: q^2
     189: q^2+q
     190: q
     193: q
     194: q
     195: q^2
     196: q^2
     199: q
     203: q^2
     204: q^2
     206: q
     207: q^3+q^2
     208: q
     209: q^2
     210: q
     212: q
     213: q^3+q^2
     214: q
     215: q^2
     216: q
     219: q^2
     220: q^2
     224: q
     231: q^3+q^2
     233: q^2
     234: q^3+q^2
     235: q^2
     237: q^2
     239: q^2
     240: q^2
     241: q^2
     243: q
     244: q^2
     245: q
     246: q^2
     247: q
     249: q
     251: q
     254: q
     258: q
     262: q
     263: q
     266: q^2
     267: q^2
     269: q
     270: q^3+q^2
     271: q
     272: q^2
     273: q
     284: q^2
     285: q^2
     288: q
     289: q
     297: q^2
     299: q^2
     301: q^2
     303: q^2
     304: q^2
     305: q^2
     307: q
     309: q
     310: q^2
     311: q
     317: q
     319: q
     322: q
     331: q^2
     333: q
     345: q^2
     346: q^2
     349: q
     353: q
     354: q
     364: q^2
     366: q^2
     372: q
     384: q
     386: q
     392: q
     408: q
     409: q
     412: q
     423: q^2
     425: q^2
     443: q
     449: q
     451: q
     466: q
     506: q
     511: 1
     539: 1
     549: 1
     569: 1
     573: 1
     591: 1

592:   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
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 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
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: 1
      82: 1
      83: 1
      84: 1
      85: 1
      86: 1
      87: 1
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     104: 1
     106: 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
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     132: 1
     134: 1
     135: 1
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: 1
     144: 1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     152: 1
     154: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     161: 1
     162: 1
     163: 1
     164: 1
     165: 1
     166: 1
     167: 1
     168: 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
     185: 1
     187: 1
     189: 1
     190: 1
     191: 1
     192: 1
     193: 1
     194: 1
     195: 1
     196: 1
     197: 1
     198: 1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     207: 1
     209: 1
     211: 1
     213: 1
     215: 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
     233: 1
     234: 1
     235: 1
     236: 1
     237: 1
     238: 1
     239: 1
     240: 1
     241: 1
     242: 1
     244: 1
     246: 1
     248: 1
     250: 1
     252: 1
     256: 1
     257: 1
     258: 1
     259: 1
     260: 1
     261: 1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     267: 1
     268: 1
     270: 1
     272: 1
     274: 1
     275: 1
     276: 1
     278: 1
     280: 1
     282: 1
     283: 1
     284: 1
     285: 1
     286: 1
     287: 1
     288: 1
     289: 1
     290: 1
     291: 1
     292: 1
     293: 1
     294: 1
     295: 1
     296: 1
     297: 1
     298: 1
     299: 1
     300: 1
     301: 1
     302: 1
     303: 1
     304: 1
     305: 1
     306: 1
     308: 1
     310: 1
     312: 1
     314: 1
     316: 1
     318: 1
     320: 1
     324: 1
     325: 1
     326: 1
     327: 1
     329: 1
     331: 1
     333: 1
     334: 1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     341: 1
     343: 1
     345: 1
     346: 1
     347: 1
     348: 1
     349: 1
     350: 1
     351: 1
     352: 1
     353: 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
     369: 1
     371: 1
     373: 1
     375: 1
     377: 1
     379: 1
     383: 1
     385: 1
     387: 1
     391: 1
     393: 1
     395: 1
     397: 1
     399: 1
     400: 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
     413: 1
     414: 1
     415: 1
     416: 1
     417: 1
     418: 1
     419: 1
     420: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     426: 1
     428: 1
     430: 1
     432: 1
     434: 1
     438: 1
     442: 1
     444: 1
     446: 1
     448: 1
     450: 1
     452: 1
     454: 1
     456: 1
     458: 1
     460: 1
     461: 1
     462: 1
     463: 1
     464: 1
     465: 1
     466: 1
     467: 1
     468: 1
     469: 1
     470: 1
     471: 1
     472: 1
     473: 1
     474: 1
     475: 1
     476: 1
     477: 1
     485: 1
     487: 1
     489: 1
     491: 1
     495: 1
     499: 1
     501: 1
     503: 1
     505: 1
     507: 1
     509: 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
     530: 1
     532: 1
     536: 1
     538: 1
     540: 1
     542: 1
     544: 1
     546: 1
     548: 1
     549: 1
     550: 1
     551: 1
     552: 1
     553: 1
     554: 1
     562: 1
     566: 1
     568: 1
     570: 1
     572: 1
     574: 1
     576: 1
     577: 1
     578: 1
     586: 1
     588: 1
     590: 1
     592: 1

593:   0: q^2+2q
       1: 2q
       2: q^2+2q
       3: q^2+2q
       4: q^2+2q
       5: 2q
       6: 2q
       7: 2q
       8: q^2+2q
       9: q^2+2q
      10: 2q
      11: 2q
      12: 2q
      13: 2q
      14: 2q
      15: 2q
      16: 2q
      17: q
      18: 2q
      19: q
      20: 2q
      21: 2q
      22: 2q
      23: 2q
      24: 2q
      25: 2q
      26: 2q
      27: 2q
      28: 2q
      29: 2q
      30: q
      31: q
      32: q^2+2q
      33: q^2+2q
      34: 2q
      35: 2q
      36: 2q
      37: 2q
      38: q^2+2q
      39: 2q
      40: q^2+2q
      41: 2q
      42: 2q
      43: 2q
      44: q^2+2q
      45: 2q
      46: q^2+2q
      47: 2q
      48: 2q
      49: 2q
      50: 2q
      51: 2q
      52: 2q
      53: 2q
      54: 2q
      55: 2q
      56: q^2+2q
      57: 2q
      58: 2q
      59: 2q
      60: 2q
      61: q
      62: q
      63: 2q
      64: 2q
      65: 2q
      66: 2q
      67: q
      68: q
      69: q^2+2q
      70: 2q
      71: q^2+2q
      72: 2q
      73: 2q
      74: 2q
      75: q^2+2q
      76: 2q
      77: q^2+2q
      78: 2q
      79: q^2+2q
      80: 2q
      81: q^2+2q
      82: 2q
      83: 2q
      84: 2q
      85: q
      86: q
      87: 2q
      88: 2q
      89: 2q
      90: 2q
      91: 2q
      92: 2q
      93: q^2+2q
      94: 2q
      95: 2q
      96: 2q
      97: 2q
      98: 2q
      99: 2q
     100: 2q
     101: 2q
     102: q^2+2q
     104: 2q
     106: 2q
     108: 2q
     109: 2q
     110: 2q
     111: q
     112: 2q
     113: q
     114: q^2+2q
     115: 2q
     116: q^2+2q
     117: 2q
     118: 2q
     119: 2q
     120: 2q
     121: q
     122: 2q
     123: q
     124: q^2+2q
     125: 2q
     126: q^2+2q
     127: 2q
     128: 2q
     129: 2q
     130: 2q
     132: 2q
     134: q
     135: q
     136: 2q
     137: 2q
     138: 2q
     139: 2q
     140: q
     141: q
     142: 2q
     143: 2q
     144: q^2+2q
     145: 2q
     146: 2q
     147: 2q
     148: 2q
     149: 2q
     150: q^2+2q
     152: 2q
     154: 2q
     156: 2q
     157: 2q
     158: 2q
     159: 2q
     160: q^2+2q
     161: q
     162: q
     163: q
     165: 2q
     166: 2q
     167: 2q
     168: q
     169: 2q
     170: q
     171: q^2+2q
     172: 2q
     173: q^2+2q
     174: 2q
     175: 2q
     176: 2q
     177: 2q
     178: 2q
     179: 2q
     180: q
     181: 2q
     182: q
     183: 2q
     185: 2q
     187: 2q
     190: q
     191: q
     192: q
     193: 2q
     194: q
     195: q
     196: q
     197: 2q
     198: 2q
     199: 2q
     200: 2q
     201: 2q
     202: 2q
     203: 2q
     204: 2q
     205: q^2+2q
     207: 2q
     209: 2q
     211: q
     213: q
     217: 2q
     218: 2q
     219: q
     220: q
     221: 2q
     222: 2q
     223: 2q
     224: q^2+2q
     225: q^2+2q
     226: q
     227: q
     228: q
     230: 2q
     231: 2q
     232: 2q
     233: q
     234: 2q
     235: q
     236: 2q
     237: 2q
     238: 2q
     239: q
     240: 2q
     241: q
     242: 2q
     244: 2q
     248: q
     250: 2q
     252: q^2+2q
     257: q
     259: q
     260: q
     261: q
     262: q
     263: 2q
     264: 2q
     265: 2q
     266: q
     267: q
     268: q
     270: q
     274: 2q
     275: 2q
     276: q
     278: q
     282: q
     283: q
     284: q
     285: q
     286: 2q
     287: 2q
     288: 2q
     289: q
     290: 2q
     291: 2q
     292: 2q
     293: 2q
     294: 2q
     295: 2q
     296: 2q
     297: q
     298: 2q
     299: q
     300: 2q
     301: 2q
     302: 2q
     303: q
     304: 2q
     305: q
     306: q
     308: 2q
     314: q
     318: 2q
     320: q
     325: q
     326: q
     327: q
     329: q
     334: q
     335: 2q
     336: 2q
     337: q
     338: q
     339: q
     341: q
     345: q
     346: q
     347: 2q
     348: 2q
     349: 2q
     350: 2q
     351: q
     352: q
     353: q
     354: 2q
     355: q
     356: 2q
     357: 2q
     358: 2q
     359: 2q
     360: 2q
     361: 2q
     362: 2q
     363: 2q
     364: q
     365: 2q
     366: q
     369: q
     373: q
     379: q
     383: q
     385: 2q
     387: q
     391: 2q
     393: q
     395: q
     399: q
     400: q
     402: q
     403: q
     404: 2q
     405: 2q
     406: q
     407: q
     408: 2q
     409: q
     410: 2q
     411: 2q
     413: q
     414: q
     415: q
     416: 2q
     417: 2q
     418: 2q
     419: 2q
     420: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     430: q
     434: q
     438: q
     444: q
     446: q
     448: 2q
     450: q
     452: 2q
     454: 1
     456: 1
     458: 1
     460: 1
     461: 1
     462: 1
     463: 1
     464: q
     465: q
     467: q
     468: 2q
     469: 1
     471: q
     472: q
     473: 2q
     474: 2q
     475: q
     476: q
     477: q
     485: 1
     487: 1
     491: q
     496: 1
     503: q
     507: q
     509: 2q
     512: 1
     513: 1
     514: 1
     516: q
     517: q
     518: q
     519: q
     520: 1
     521: 1
     522: q
     530: 1
     533: 1
     542: 1
     544: 1
     549: 1
     550: q
     551: q
     552: 1
     553: 1
     555: 1
     563: 1
     572: 1
     574: 1
     576: 1
     577: 1
     579: 1
     586: 1
     590: 1
     593: 1

594:   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^3+q
      10: q
      11: q
      12: q
      13: q^3+q
      14: q^5+q
      15: q
      16: q
      17: q^5+q
      18: q^5+q
      19: q^5+q
      20: q
      21: q
      22: q
      23: q
      24: q
      25: q
      26: q^3+q
      27: q^3+q
      28: q^3+q
      29: q^3+q
      30: q^5+q
      31: q^5+q
      32: q^3+q
      33: q^3+q
      34: q
      35: q
      36: q
      37: q
      38: q^3+q
      39: q^3+q
      40: q^3+q
      41: q
      42: q^3+q
      43: q
      44: q^3+q
      45: q^3+q
      46: q^4+q^3+q
      47: q
      48: q
      49: q
      50: q
      51: q
      52: q^3+q
      53: q^3+q
      54: q
      55: q^3+q
      56: q^3+q
      57: q
      58: q
      59: q
      60: q
      61: q
      62: q
      63: q^3+q
      64: q^3+q
      65: q
      66: q
      67: q
      68: q
      69: q^3+q
      70: q
      71: q^3+q
      72: q
      73: q
      74: q
      75: q^3+q
      76: q^3+q
      77: q^4+q^3+q
      78: q
      79: q^3+q
      80: q^3+q
      81: q^3+q
      82: q
      83: q^3+q
      84: q
      85: q
      86: q
      87: q
      88: q
      89: q
      90: q
      91: q
      92: q
      93: q^3+q
      94: q
      95: q^3+q
      96: q
      97: q^3+q
      98: q
      99: q
     100: q^3+q
     101: q^3+q
     102: q^3+q
     104: q^3+q
     106: q
     108: q
     109: q
     110: q
     111: q
     112: q
     113: q
     114: q^3+q
     115: q
     116: q^3+q
     117: q^3+q
     118: q^3+q
     119: q
     120: q^3+q
     121: q
     122: q
     123: q
     124: q^3+q
     125: q
     126: q^3+q
     127: q
     128: q
     129: q
     130: q
     132: q^3+q
     134: q
     135: q
     136: q
     137: q
     138: q
     139: q
     140: q
     141: q
     142: q
     143: q
     144: q^3+q
     145: q^3+q
     146: q
     147: q
     148: q
     149: q
     150: q^3+q
     152: q
     154: q
     155: q^3
     156: q
     157: q
     158: q
     159: q
     160: q^3+q
     161: q^3+q
     162: q
     163: q^3+q
     164: q^3+q
     165: q
     166: q
     167: q
     168: q
     169: q
     170: q
     171: q^3+q
     172: q
     173: q^3+q
     174: q
     175: q
     176: q
     177: q^3+q
     178: q
     179: q^3+q
     180: q
     181: q
     182: q
     183: q
     185: q
     187: q
     189: q
     190: q
     191: q
     192: q
     193: q
     194: q^3+q
     195: q
     196: q
     197: q
     198: q
     199: q
     200: q
     201: q
     202: q
     203: q
     204: q
     205: q^3+q
     207: q
     209: q
     210: q^3
     211: q^3+q
     213: q
     215: q
     216: q^3
     217: q
     218: q
     219: q
     220: q
     221: q
     222: q
     223: q^3+q
     224: q^3+q
     225: q^3+q
     226: q
     227: q^2+q
     228: q
     229: q^2+q
     230: q^3+q
     231: q
     232: q^3+q
     233: q
     234: q
     235: q
     236: q
     237: q
     238: q
     239: q
     240: q
     241: q
     242: q
     244: q
     246: q
     248: q
     250: q
     252: q^3+q
     256: q^2+q
     257: q
     258: q
     259: q
     260: q
     261: q
     262: q
     263: q
     264: q
     265: q
     266: q
     267: q
     268: q^3+q
     270: q
     272: q
     273: q^3
     274: q
     275: q
     276: q
     278: q
     279: q^2
     280: q
     281: q^2
     282: q
     283: q
     284: q
     285: q
     286: q
     287: q
     288: q
     289: q^3+q
     290: q
     291: q
     292: q
     293: q^3+q
     294: q
     295: q
     296: q
     297: q
     298: q
     299: q
     300: q
     301: q
     302: q
     303: q
     304: q
     305: q
     306: q
     308: q
     310: q
     312: q
     313: q^2
     314: q
     316: q
     318: q
     320: q^3+q
     324: q
     325: q
     326: q
     327: q
     329: q
     331: q
     333: q
     334: q
     335: q
     336: q
     337: q
     338: q
     339: q
     341: q
     342: q^2
     343: q
     344: q^2
     345: q
     346: q
     347: q
     348: q
     349: q
     350: q
     351: q
     352: q
     353: q
     354: q
     355: q
     356: q
     357: q
     358: q
     359: q
     360: q
     367: q
     369: q
     371: q
     373: q
     375: q
     376: q^2
     377: q
     379: q
     383: q
     385: q
     387: q
     391: q
     398: q^2
     401: q
     402: q
     403: q
     406: q
     407: q
     408: q
     409: q
     410: q
     412: q
     413: q
     414: q
     415: q
     416: q
     417: q
     418: q
     419: q
     428: q
     432: q
     434: q
     442: q
     444: q
     446: q
     448: q
     450: q
     452: q
     459: q^2
     466: q
     467: q
     470: q
     471: q
     472: q
     475: q
     476: q
     477: q
     499: q
     501: q
     505: q
     507: q
     515: q
     516: q
     517: q
     536: q
     546: q
     548: 1
     564: 1
     570: 1
     580: 1
     588: 1
     594: 1

595:   0: q^2
       1: q^2
       3: q^2
       4: q^2
       5: q^2
       6: q^2
       7: q^2
       9: q^2
      10: q^2
      11: q^2
      12: q^3+q^2
      13: q^2
      14: q^3+q^2
      15: q^2
      16: q^3+q^2
      17: q^3+q^2
      18: q^3+q^2
      19: q^3+q^2
      20: q^2
      21: q^2
      22: q^2
      23: q^3+q^2
      24: q^2
      25: q^3+q^2
      26: q^2
      27: q^2
      28: q^2
      29: q^2
      30: q^3+q^2
      31: q^3+q^2
      34: q^2
      35: q^2
      36: q^2
      37: q^2
      38: q^2
      39: q^2
      40: q^2
      41: q^2
      42: q^2
      43: q^2
      44: q^2
      45: q^2
      47: q^2
      48: q^2
      49: q^2
      50: q^2
      51: q^2
      52: q^2
      53: q^2
      54: q^2
      55: q^2
      57: q^2
      58: q^2
      59: q^2
      60: q^2
      61: q^3+q^2
      62: q^3+q^2
      65: q^2
      66: q^2
      67: q^2
      68: q^2
      70: q^2
      72: q^2
      73: q^2
      74: q^2
      75: q^2
      76: q^2
      78: q^2
      79: q^2
      80: q^2
      81: q^2
      82: q^2
      83: q^2
      84: q^2
      85: q^2
      86: q^2
      89: q^2
      90: q^2
      91: q^2
      92: q^2
      94: q^2
      95: q^2
      96: q^2
      98: q^2
      99: q^2
     100: q^2
     101: q^2
     102: q^2
     104: q^2
     106: q^2
     110: q^2
     111: q^2
     112: q^2
     113: q^2
     114: q
     115: q^2+q
     116: q
     117: q^2+q
     119: q^2
     121: q^2
     122: q^2
     123: q^2
     125: q^2
     127: q^2
     128: q^2
     129: q^2
     130: q^2
     132: q^2
     134: q^2
     135: q^2
     138: q
     139: q^2+q
     140: q^2
     141: q^2
     144: q
     146: q^2
     151: q
     152: q^2
     153: q
     154: q^2
     155: q
     156: q^2
     157: q^2
     158: q^2
     159: q^2
     161: q
     162: q^2+q
     163: q
     164: q^2+q
     166: q^2
     168: q^2
     169: q^2
     170: q^2
     172: q^2
     174: q^2
     175: q^2
     176: q^2
     178: q^2
     180: q^2
     181: q^2
     182: q^2
     184: q
     185: q^2
     186: q
     187: q^2
     189: q^2+q
     190: q
     193: q
     194: q
     195: q^2
     196: q^2
     199: q
     203: q^2
     204: q^2
     206: q
     207: q^2
     208: q
     209: q^2
     210: q
     212: q
     213: q^2
     214: q
     215: q^2
     216: q
     219: q^2
     220: q^2
     224: q
     226: q
     227: q^2+q
     228: q
     229: q^2+q
     231: q^2
     233: q^2
     234: q^2
     235: q^2
     237: q^2
     239: q^2
     240: q^2
     241: q^2
     243: q
     244: q^2
     245: q
     246: q^2
     247: q
     249: q
     251: q
     254: q
     256: q^2+q
     257: q
     258: q
     259: q
     262: q
     263: q
     266: q^2
     267: q^2
     269: q
     270: q^2
     271: q
     272: q^2
     273: q
     277: q
     278: q^2
     279: q
     280: q^2
     281: q
     284: q^2
     285: q^2
     288: q
     289: q
     297: q^2
     299: q^2
     301: q^2
     303: q^2
     304: q^2
     305: q^2
     307: q
     309: q
     310: q^2
     311: q
     312: q^2
     313: q
     315: q
     317: q
     319: q
     322: q
     324: q
     331: q^2
     333: q
     334: q
     340: q
     341: q^2
     342: q
     343: q^2
     344: q
     345: q^2
     346: q^2
     349: q
     353: q
     354: q
     355: q
     364: q^2
     366: q^2
     372: q
     374: q
     375: q^2
     376: q
     378: q
     384: q
     386: q
     389: q
     392: q
     397: q^2
     401: q
     408: q
     409: q
     412: q
     413: q
     423: q^2
     425: q^2
     433: q
     443: q
     445: q
     449: q
     451: q
     458: q^2
     466: q
     467: q
     470: q
     502: q
     506: q
     508: q
     511: 1
     515: q
     539: 1
     547: q
     548: 1
     549: 1
     562: 1
     569: 1
     571: 1
     573: 1
     581: 1
     589: 1
     591: 1
     595: 1

596:   0: q^4+2q^3
       1: 2q^3
       3: q^4+2q^3
       4: q^4+2q^3
       5: 2q^3
       6: 2q^3
       7: 2q^3
       9: q^4+2q^3
      10: 2q^3
      11: 2q^3
      12: 2q^4+2q^3
      13: 2q^3
      14: 2q^4+2q^3
      15: 2q^3
      16: 2q^4+2q^3
      17: q^4+q^3
      18: 2q^4+2q^3
      19: q^4+q^3
      20: 2q^3
      21: 2q^3
      22: 2q^3
      23: 2q^4+2q^3
      24: 2q^3
      25: 2q^4+2q^3
      26: 2q^3
      27: 2q^3
      28: 2q^3
      29: 2q^3
      30: q^4+q^3
      31: q^4+q^3
      34: 2q^3
      35: 2q^3
      36: 2q^3
      37: 2q^3
      38: q^4+2q^3
      39: 2q^3
      40: q^4+2q^3
      41: 2q^3
      42: 2q^3
      43: 2q^3
      44: q^4+2q^3
      45: 2q^3
      47: 2q^3
      48: 2q^3
      49: 2q^3
      50: 2q^3
      51: 2q^3
      52: 2q^3
      53: 2q^3
      54: 2q^3
      55: 2q^3
      57: 2q^3
      58: 2q^3
      59: 2q^3
      60: 2q^3
      61: q^4+q^3
      62: q^4+q^3
      65: 2q^3
      66: 2q^3
      67: q^3
      68: q^3
      70: 2q^3
      72: 2q^3
      73: 2q^3
      74: 2q^3
      75: q^4+2q^3
      76: 2q^3
      78: 2q^3
      79: q^4+2q^3
      80: 2q^3
      81: q^4+2q^3
      82: 2q^3
      83: 2q^3
      84: 2q^3
      85: q^3
      86: q^3
      89: 2q^3
      90: 2q^3
      91: 2q^3
      92: 2q^3
      94: 2q^3
      95: 2q^3
      96: 2q^3
      98: 2q^3
      99: 2q^3
     100: 2q^3
     101: 2q^3
     102: q^4+2q^3
     104: 2q^3
     106: 2q^3
     110: 2q^3
     111: q^3
     112: 2q^3
     113: q^3
     114: q^2
     115: 2q^3+q^2
     116: q^2
     117: 2q^3+q^2
     119: 2q^3
     121: q^3
     122: 2q^3
     123: q^3
     125: 2q^3
     127: 2q^3
     128: 2q^3
     129: 2q^3
     130: 2q^3
     132: 2q^3
     134: q^3
     135: q^3
     138: q^2
     139: 2q^3+q^2
     140: q^3
     141: q^3
     144: q^2
     146: 2q^3
     151: q^2
     152: 2q^3
     153: q^2
     154: 2q^3
     155: q^2
     156: 2q^3
     157: 2q^3
     158: 2q^3
     159: 2q^3
     162: q^3
     166: 2q^3
     168: q^3
     169: 2q^3
     170: q^3
     172: 2q^3
     174: 2q^3
     175: 2q^3
     176: 2q^3
     178: 2q^3
     180: q^3
     181: 2q^3
     182: q^3
     184: q^2
     185: 2q^3
     186: q^2
     187: 2q^3
     193: q^2
     195: q^3
     196: q^3
     199: q^2
     203: 2q^3
     204: 2q^3
     206: q^2
     207: 2q^3
     208: q^2
     209: 2q^3
     210: q^2
     213: q^3
     219: q^3
     220: q^3
     224: q^2
     227: q^3
     231: 2q^3
     233: q^3
     234: 2q^3
     235: q^3
     237: 2q^3
     239: q^3
     240: 2q^3
     241: q^3
     243: q^2
     244: 2q^3
     245: q^2
     251: q^2
     254: q^2
     263: q^2
     266: q^3
     267: q^3
     270: q^3
     278: q^3
     284: q^3
     285: q^3
     288: q^2
     297: q^3
     299: q^3
     301: 2q^3
     303: q^3
     304: 2q^3
     305: q^3
     309: q^2
     319: q^2
     341: q^3
     345: q^3
     346: q^3
     349: q^2
     354: q^2
     364: q^3
     366: q^3
     386: q^2
     392: q^2
     408: q^2
     423: q^2
     425: q^2
     449: q^2
     458: q^2
     549: 1
     563: 1
     573: 1
     582: 1
     591: 1
     596: 1

597:   5: q^3
      10: q^3
      11: q^3
      14: q^3
      15: q^3
      17: q^3
      18: q^3
      19: q^3
      30: q^3
      31: q^3
      35: q^3
      37: q^3
      41: q^3
      43: q^3
      47: q^3
      67: q^3
      68: q^3
      72: q^3
      74: q^3
      78: q^3
      82: q^3
      84: q^3
     106: q^3
     117: q^3
     121: q^3
     123: q^3
     127: q^3
     129: q^3
     154: q^3
     164: q^3
     174: q^3
     176: q^3
     180: q^3
     182: q^3
     209: q^3
     215: q^3
     226: 1
     227: 1
     228: 1
     229: 1
     233: q^3
     235: q^3
     256: 1
     257: 1
     259: 1
     272: q^3
     277: 1
     279: 1
     281: 1
     297: q^3
     299: q^3
     313: 1
     315: 1
     324: 1
     331: q^3
     334: 1
     340: 1
     342: 1
     344: 1
     355: 1
     374: 1
     376: 1
     378: 1
     389: 1
     394: 1
     396: 1
     398: 1
     401: 1
     413: 1
     427: 1
     431: 1
     433: 1
     440: 1
     445: 1
     455: 1
     457: 1
     459: 1
     467: 1
     470: 1
     486: 1
     488: 1
     490: 1
     493: 1
     497: 1
     502: 1
     504: 1
     508: 1
     515: 1
     527: 1
     531: 1
     534: 1
     541: 1
     543: 1
     547: 1
     548: 1
     559: 1
     564: 1
     567: 1
     571: 1
     575: 1
     583: 1
     587: 1
     589: 1
     597: 1

598:   5: q^4
      10: q^4
      11: q^4
      14: q^4
      15: q^4
      18: q^4
      35: q^4
      37: q^4
      41: q^4
      43: q^4
      47: q^4
      72: q^4
      74: q^4
      78: q^4
      82: q^4
      84: q^4
     106: q^4
     117: q^4
     127: q^4
     129: q^4
     154: q^4
     174: q^4
     176: q^4
     209: q^4
     226: q
     227: q
     228: q
     257: q
     259: q
     277: q
     279: q
     315: q
     334: q
     340: q
     342: q
     355: q
     374: q
     389: q
     394: q
     396: q
     413: q
     431: q
     440: q
     445: q
     455: 1
     457: 1
     459: 1
     467: q
     486: 1
     488: 1
     493: q
     498: 1
     504: q
     508: q
     527: q
     531: 1
     535: 1
     543: 1
     560: 1
     565: 1
     575: 1
     584: 1
     587: 1
     598: 1

599:  14: q^6
      18: q^6
     117: q^4
     155: q^4
     210: q^4
     227: q^3
     279: q^3
     342: q^3
     459: q^2
     565: 1
     585: 1
     599: 1

63968 nonzero polynomials, and 15174 zero polynomials,
 at 79142 Bruhat-comparable pairs.