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:   0: 1
       1: 1
      20: 1

 21:   3: 1
       6: 1
      21: 1

 22:   4: 1
       7: 1
      22: 1

 23:   5: 1
       8: 1
      23: 1

 24:  11: 1
      13: 1
      24: 1

 25:  17: 1
      18: 1
      25: 1

 26:   0: 1
       2: 1
      26: 1

 27:   4: 1
       9: 1
      27: 1

 28:   5: 1
      10: 1
      28: 1

 29:   6: 1
      12: 1
      29: 1

 30:  11: 1
      15: 1
      30: 1

 31:  18: 1
      19: 1
      31: 1

 32:   0: 1
       3: 1
      32: 1

 33:   1: 1
       6: 1
      33: 1

 34:   9: 1
      14: 1
      34: 1

 35:  10: 1
      16: 1
      35: 1

 36:  11: 1
      17: 1
      36: 1

 37:  13: 1
      18: 1
      37: 1

 38:   0: 1
       4: 1
      38: 1

 39:   1: 1
       7: 1
      39: 1

 40:   2: 1
       9: 1
      40: 1

 41:   5: 1
      11: 1
      41: 1

 42:   8: 1
      13: 1
      42: 1

 43:  10: 1
      15: 1
      43: 1

 44:   0: 1
       5: 1
      44: 1

 45:   1: 1
       8: 1
      45: 1

 46:   2: 1
      10: 1
      46: 1

 47:   4: 1
      11: 1
      47: 1

 48:   7: 1
      13: 1
      48: 1

 49:   9: 1
      15: 1
      49: 1

 50:   0: 1
       1: 1
       3: 1
       6: 1
      20: 1
      21: 1
      32: 1
      33: 1
      50: 1

 51:  11: 1
      13: 1
      17: 1
      18: 1
      24: 1
      25: 1
      36: 1
      37: 1
      51: 1

 52:   0: 1
       1: 1
       4: 1
       7: 1
      20: 1
      22: 1
      38: 1
      39: 1
      52: 1

 53:   5: 1
       8: 1
      11: 1
      13: 1
      23: 1
      24: 1
      41: 1
      42: 1
      53: 1

 54:   0: 1
       2: 1
       4: 1
       9: 1
      26: 1
      27: 1
      38: 1
      40: 1
      54: 1

 55:   5: 1
      10: 1
      11: 1
      15: 1
      28: 1
      30: 1
      41: 1
      43: 1
      55: 1

 56:   0: 1
       1: 1
       5: 1
       8: 1
      20: 1
      23: 1
      44: 1
      45: 1
      56: 1

 57:   4: 1
       7: 1
      11: 1
      13: 1
      22: 1
      24: 1
      47: 1
      48: 1
      57: 1

 58:   0: 1
       2: 1
       5: 1
      10: 1
      26: 1
      28: 1
      44: 1
      46: 1
      58: 1

 59:   4: 1
       9: 1
      11: 1
      15: 1
      27: 1
      30: 1
      47: 1
      49: 1
      59: 1

 60:   0: 1
       4: 1
       5: 1
      11: 1
      38: 1
      41: 1
      44: 1
      47: 1
      60: 1

 61:   1: 1
       7: 1
       8: 1
      13: 1
      39: 1
      42: 1
      45: 1
      48: 1
      61: 1

 62:   2: 1
       9: 1
      10: 1
      15: 1
      40: 1
      43: 1
      46: 1
      49: 1
      62: 1

 63:   0: 1
       1: 1
       2: 1
      20: 1
      26: 1
      63: 1

 64:   4: 1
       7: 1
       9: 1
      22: 1
      27: 1
      64: 1

 65:   5: 1
       8: 1
      10: 1
      23: 1
      28: 1
      65: 1

 66:   3: 1
       6: 1
      12: 1
      21: 1
      29: 1
      66: 1

 67:  11: 1
      13: 1
      15: 1
      24: 1
      30: 1
      67: 1

 68:  17: 1
      18: 1
      19: 1
      25: 1
      31: 1
      68: 1

 69:   0: 1
       2: 1
       3: 1
      26: 1
      32: 1
      69: 1

 70:   1: 1
       6: 1
      12: 1
      29: 1
      33: 1
      70: 1

 71:   4: 1
       9: 1
      14: 1
      27: 1
      34: 1
      71: 1

 72:   5: 1
      10: 1
      16: 1
      28: 1
      35: 1
      72: 1

 73:  11: 1
      15: 1
      17: 1
      30: 1
      36: 1
      73: 1

 74:  13: 1
      18: 1
      19: 1
      31: 1
      37: 1
      74: 1

 75:   0: 1
       3: 1
       4: 1
      32: 1
      38: 1
      75: 1

 76:   1: 1
       6: 1
       7: 1
      33: 1
      39: 1
      76: 1

 77:   2: 1
       9: 1
      14: 1
      34: 1
      40: 1
      77: 1

 78:   5: 1
      11: 1
      17: 1
      36: 1
      41: 1
      78: 1

 79:   8: 1
      13: 1
      18: 1
      37: 1
      42: 1
      79: 1

 80:  10: 1
      15: 1
      16: 1
      35: 1
      43: 1
      80: 1

 81:   0: 1
       3: 1
       5: 1
      32: 1
      44: 1
      81: 1

 82:   1: 1
       6: 1
       8: 1
      33: 1
      45: 1
      82: 1

 83:   2: 1
      10: 1
      16: 1
      35: 1
      46: 1
      83: 1

 84:   4: 1
      11: 1
      17: 1
      36: 1
      47: 1
      84: 1

 85:   7: 1
      13: 1
      18: 1
      37: 1
      48: 1
      85: 1

 86:   9: 1
      14: 1
      15: 1
      34: 1
      49: 1
      86: 1

 87:   0: 1
       1: 1
       4: 1
       5: 1
       7: 1
       8: 1
      11: 1
      13: 1
      20: 1
      22: 1
      23: 1
      24: 1
      38: 1
      39: 1
      41: 1
      42: 1
      44: 1
      45: 1
      47: 1
      48: 1
      52: 1
      53: 1
      56: 1
      57: 1
      60: 1
      61: 1
      87: 1

 88:   0: 1
       2: 1
       4: 1
       5: 1
       9: 1
      10: 1
      11: 1
      15: 1
      26: 1
      27: 1
      28: 1
      30: 1
      38: 1
      40: 1
      41: 1
      43: 1
      44: 1
      46: 1
      47: 1
      49: 1
      54: 1
      55: 1
      58: 1
      59: 1
      60: 1
      62: 1
      88: 1

 89:   0: 1
       1: q+1
       2: 1
       3: q+1
       6: 1
      12: 1
      20: 1
      21: 1
      26: 1
      29: 1
      32: 1
      33: 1
      50: 1
      63: 1
      66: 1
      69: 1
      70: 1
      89: 1

 90:  11: 1
      13: q+1
      15: 1
      17: q+1
      18: 1
      19: 1
      24: 1
      25: 1
      30: 1
      31: 1
      36: 1
      37: 1
      51: 1
      67: 1
      68: 1
      73: 1
      74: 1
      90: 1

 91:   0: 1
       2: q+1
       3: 1
       5: q+1
      10: 1
      16: 1
      26: 1
      28: 1
      32: 1
      35: 1
      44: 1
      46: 1
      58: 1
      69: 1
      72: 1
      81: 1
      83: 1
      91: 1

 92:   4: q+1
       9: 1
      11: 1
      14: 1
      15: q+1
      17: 1
      27: 1
      30: 1
      34: 1
      36: 1
      47: 1
      49: 1
      59: 1
      71: 1
      73: 1
      84: 1
      86: 1
      92: 1

 93:   0: 1
       2: q+1
       3: 1
       4: q+1
       9: 1
      14: 1
      26: 1
      27: 1
      32: 1
      34: 1
      38: 1
      40: 1
      54: 1
      69: 1
      71: 1
      75: 1
      77: 1
      93: 1

 94:   5: q+1
      10: 1
      11: 1
      15: q+1
      16: 1
      17: 1
      28: 1
      30: 1
      35: 1
      36: 1
      41: 1
      43: 1
      55: 1
      72: 1
      73: 1
      78: 1
      80: 1
      94: 1

 95:   0: 1
       3: 1
       4: q+1
       5: q+1
      11: 1
      17: 1
      32: 1
      36: 1
      38: 1
      41: 1
      44: 1
      47: 1
      60: 1
      75: 1
      78: 1
      81: 1
      84: 1
      95: 1

 96:   1: 1
       6: 1
       7: q+1
       8: q+1
      13: 1
      18: 1
      33: 1
      37: 1
      39: 1
      42: 1
      45: 1
      48: 1
      61: 1
      76: 1
      79: 1
      82: 1
      85: 1
      96: 1

 97:   2: q+1
       9: 1
      10: 1
      14: 1
      15: q+1
      16: 1
      34: 1
      35: 1
      40: 1
      43: 1
      46: 1
      49: 1
      62: 1
      77: 1
      80: 1
      83: 1
      86: 1
      97: 1

 98:   0: 1
       1: 1
       2: 1
       4: 1
       7: 1
       9: 1
      20: 1
      22: 1
      26: 1
      27: 1
      38: 1
      39: 1
      40: 1
      52: 1
      54: 1
      63: 1
      64: 1
      98: 1

 99:   5: 1
       8: 1
      10: 1
      11: 1
      13: 1
      15: 1
      23: 1
      24: 1
      28: 1
      30: 1
      41: 1
      42: 1
      43: 1
      53: 1
      55: 1
      65: 1
      67: 1
      99: 1

100:   0: 1
       1: 1
       3: 1
       4: 1
       6: 1
       7: 1
      20: 1
      21: 1
      22: 1
      32: 1
      33: 1
      38: 1
      39: 1
      50: 1
      52: 1
      75: 1
      76: 1
     100: 1

101:   5: 1
       8: 1
      11: 1
      13: 1
      17: 1
      18: 1
      23: 1
      24: 1
      25: 1
      36: 1
      37: 1
      41: 1
      42: 1
      51: 1
      53: 1
      78: 1
      79: 1
     101: 1

102:   0: 1
       1: 1
       2: 1
       5: 1
       8: 1
      10: 1
      20: 1
      23: 1
      26: 1
      28: 1
      44: 1
      45: 1
      46: 1
      56: 1
      58: 1
      63: 1
      65: 1
     102: 1

103:   4: 1
       7: 1
       9: 1
      11: 1
      13: 1
      15: 1
      22: 1
      24: 1
      27: 1
      30: 1
      47: 1
      48: 1
      49: 1
      57: 1
      59: 1
      64: 1
      67: 1
     103: 1

104:   0: 1
       1: 1
       3: 1
       5: 1
       6: 1
       8: 1
      20: 1
      21: 1
      23: 1
      32: 1
      33: 1
      44: 1
      45: 1
      50: 1
      56: 1
      81: 1
      82: 1
     104: 1

105:   4: 1
       7: 1
      11: 1
      13: 1
      17: 1
      18: 1
      22: 1
      24: 1
      25: 1
      36: 1
      37: 1
      47: 1
      48: 1
      51: 1
      57: 1
      84: 1
      85: 1
     105: 1

106:   0: 1
       1: 1
       2: q+1
       3: 1
       6: 1
      20: 1
      21: 1
      26: 1
      32: 1
      33: 1
      50: 1
      63: 1
      69: 1
     106: 1

107:   0: 1
       1: 1
       3: 1
       6: 1
      12: q+1
      20: 1
      21: 1
      29: 1
      32: 1
      33: 1
      50: 1
      66: 1
      70: 1
     107: 1

108:   4: 1
       7: 1
       9: 1
      14: 1
      22: 1
      27: 1
      34: 1
      64: 1
      71: 1
     108: 1

109:   5: 1
       8: 1
      10: 1
      16: 1
      23: 1
      28: 1
      35: 1
      65: 1
      72: 1
     109: 1

110:  11: 1
      13: 1
      15: q+1
      17: 1
      18: 1
      24: 1
      25: 1
      30: 1
      36: 1
      37: 1
      51: 1
      67: 1
      73: 1
     110: 1

111:  11: 1
      13: 1
      17: 1
      18: 1
      19: q+1
      24: 1
      25: 1
      31: 1
      36: 1
      37: 1
      51: 1
      68: 1
      74: 1
     111: 1

112:   0: 1
       2: 1
       3: q+1
       4: 1
       9: 1
      26: 1
      27: 1
      32: 1
      38: 1
      40: 1
      54: 1
      69: 1
      75: 1
     112: 1

113:   1: 1
       6: 1
       7: 1
      12: 1
      29: 1
      33: 1
      39: 1
      70: 1
      76: 1
     113: 1

114:   0: 1
       2: 1
       4: 1
       9: 1
      14: q+1
      26: 1
      27: 1
      34: 1
      38: 1
      40: 1
      54: 1
      71: 1
      77: 1
     114: 1

115:   5: 1
      10: 1
      11: 1
      15: 1
      16: q+1
      28: 1
      30: 1
      35: 1
      41: 1
      43: 1
      55: 1
      72: 1
      80: 1
     115: 1

116:   5: 1
      10: 1
      11: 1
      15: 1
      17: q+1
      28: 1
      30: 1
      36: 1
      41: 1
      43: 1
      55: 1
      73: 1
      78: 1
     116: 1

117:   8: 1
      13: 1
      18: 1
      19: 1
      31: 1
      37: 1
      42: 1
      74: 1
      79: 1
     117: 1

118:   0: 1
       2: 1
       3: q+1
       5: 1
      10: 1
      26: 1
      28: 1
      32: 1
      44: 1
      46: 1
      58: 1
      69: 1
      81: 1
     118: 1

119:   1: 1
       6: 1
       8: 1
      12: 1
      29: 1
      33: 1
      45: 1
      70: 1
      82: 1
     119: 1

120:   0: 1
       2: 1
       5: 1
      10: 1
      16: q+1
      26: 1
      28: 1
      35: 1
      44: 1
      46: 1
      58: 1
      72: 1
      83: 1
     120: 1

121:   4: 1
       9: 1
      11: 1
      14: q+1
      15: 1
      27: 1
      30: 1
      34: 1
      47: 1
      49: 1
      59: 1
      71: 1
      86: 1
     121: 1

122:   4: 1
       9: 1
      11: 1
      15: 1
      17: q+1
      27: 1
      30: 1
      36: 1
      47: 1
      49: 1
      59: 1
      73: 1
      84: 1
     122: 1

123:   7: 1
      13: 1
      18: 1
      19: 1
      31: 1
      37: 1
      48: 1
      74: 1
      85: 1
     123: 1

124:   0: 1
       3: q+1
       4: 1
       5: 1
      11: 1
      32: 1
      38: 1
      41: 1
      44: 1
      47: 1
      60: 1
      75: 1
      81: 1
     124: 1

125:   1: 1
       6: q+1
       7: 1
       8: 1
      13: 1
      33: 1
      39: 1
      42: 1
      45: 1
      48: 1
      61: 1
      76: 1
      82: 1
     125: 1

126:   2: 1
       9: 1
      10: 1
      14: q+1
      15: 1
      34: 1
      40: 1
      43: 1
      46: 1
      49: 1
      62: 1
      77: 1
      86: 1
     126: 1

127:   2: 1
       9: 1
      10: 1
      15: 1
      16: q+1
      35: 1
      40: 1
      43: 1
      46: 1
      49: 1
      62: 1
      80: 1
      83: 1
     127: 1

128:   0: 1
       4: 1
       5: 1
      11: 1
      17: q+1
      36: 1
      38: 1
      41: 1
      44: 1
      47: 1
      60: 1
      78: 1
      84: 1
     128: 1

129:   1: 1
       7: 1
       8: 1
      13: 1
      18: q+1
      37: 1
      39: 1
      42: 1
      45: 1
      48: 1
      61: 1
      79: 1
      85: 1
     129: 1

130:   0: 1
       2: q+1
       3: 1
       4: q+1
       5: q+1
       9: 1
      10: 1
      11: 1
      14: 1
      15: q+1
      16: 1
      17: 1
      26: 1
      27: 1
      28: 1
      30: 1
      32: 1
      34: 1
      35: 1
      36: 1
      38: 1
      40: 1
      41: 1
      43: 1
      44: 1
      46: 1
      47: 1
      49: 1
      54: 1
      55: 1
      58: 1
      59: 1
      60: 1
      62: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: 1
      77: 1
      78: 1
      80: 1
      81: 1
      83: 1
      84: 1
      86: 1
      88: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      97: 1
     130: 1

131:   0: 1
       1: 1
       3: 1
       4: q+1
       5: q+1
       6: 1
       7: q+1
       8: q+1
      11: 1
      13: 1
      17: 1
      18: 1
      20: 1
      21: 1
      22: q+1
      23: q+1
      24: 1
      25: 1
      32: 1
      33: 1
      36: 1
      37: 1
      38: 1
      39: 1
      41: 1
      42: 1
      44: 1
      45: 1
      47: 1
      48: 1
      50: 1
      51: 1
      52: 1
      53: 1
      56: 1
      57: 1
      60: 1
      61: 1
      75: 1
      76: 1
      78: 1
      79: 1
      81: 1
      82: 1
      84: 1
      85: 1
      87: 1
      95: 1
      96: 1
     100: 1
     101: 1
     104: 1
     105: 1
     131: 1

132:   0: 1
       1: 1
       2: 1
       4: 1
       5: 1
       7: 1
       8: 1
       9: 1
      10: 1
      11: 1
      13: 1
      15: 1
      20: 1
      22: 1
      23: 1
      24: 1
      26: 1
      27: 1
      28: 1
      30: 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
      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
      67: 1
      87: 1
      88: 1
      98: 1
      99: 1
     102: 1
     103: 1
     132: 1

133:   0: 1
       2: 1
       3: q+1
       4: q+1
       5: q+1
       9: q+1
      10: q+1
      11: 1
      15: 1
      17: q+1
      26: 1
      27: q+1
      28: q+1
      30: 1
      32: 1
      36: 1
      38: 1
      40: 1
      41: 1
      43: 1
      44: 1
      46: 1
      47: 1
      49: 1
      54: 1
      55: 1
      58: 1
      59: 1
      60: 1
      62: 1
      69: 1
      73: 1
      75: 1
      78: 1
      81: 1
      84: 1
      88: 1
      95: 1
     112: 1
     116: 1
     118: 1
     122: 1
     133: 1

134:   1: 1
       6: 1
       7: q+1
       8: q+1
      12: 1
      13: 1
      18: 1
      19: 1
      29: 1
      31: 1
      33: 1
      37: 1
      39: 1
      42: 1
      45: 1
      48: 1
      61: 1
      70: 1
      74: 1
      76: 1
      79: 1
      82: 1
      85: 1
      96: 1
     113: 1
     117: 1
     119: 1
     123: 1
     134: 1

135:   0: q+1
       2: q+1
       4: 1
       5: 1
       9: 1
      10: 1
      11: q+1
      14: q+1
      15: q+1
      16: q+1
      26: q+1
      27: 1
      28: 1
      30: q+1
      34: 1
      35: 1
      38: 1
      40: 1
      41: 1
      43: 1
      44: 1
      46: 1
      47: 1
      49: 1
      54: 1
      55: 1
      58: 1
      59: 1
      60: 1
      62: 1
      71: 1
      72: 1
      77: 1
      80: 1
      83: 1
      86: 1
      88: 1
      97: 1
     114: 1
     115: 1
     120: 1
     121: 1
     135: 1

136:   0: 1
       1: 1
       2: 1
       3: 1
       6: 1
      12: 1
      20: 1
      21: 1
      26: 1
      29: 1
      32: 1
      33: 1
      50: 1
      63: 1
      66: 1
      69: 1
      70: 1
      89: 1
     106: 1
     107: 1
     136: 1

137:  11: 1
      13: 1
      15: 1
      17: 1
      18: 1
      19: 1
      24: 1
      25: 1
      30: 1
      31: 1
      36: 1
      37: 1
      51: 1
      67: 1
      68: 1
      73: 1
      74: 1
      90: 1
     110: 1
     111: 1
     137: 1

138:   0: 1
       1: 1
       2: q+1
       3: 1
       5: q+1
       6: 1
       8: q+1
      10: 1
      16: 1
      20: 1
      21: 1
      23: q+1
      26: 1
      28: 1
      32: 1
      33: 1
      35: 1
      44: 1
      45: 1
      46: 1
      50: 1
      56: 1
      58: 1
      63: 1
      65: 1
      69: 1
      72: 1
      81: 1
      82: 1
      83: 1
      91: 1
     102: 1
     104: 1
     106: 1
     109: 1
     138: 1

139:   4: q+1
       7: q+1
       9: 1
      11: 1
      13: 1
      14: 1
      15: q+1
      17: 1
      18: 1
      22: q+1
      24: 1
      25: 1
      27: 1
      30: 1
      34: 1
      36: 1
      37: 1
      47: 1
      48: 1
      49: 1
      51: 1
      57: 1
      59: 1
      64: 1
      67: 1
      71: 1
      73: 1
      84: 1
      85: 1
      86: 1
      92: 1
     103: 1
     105: 1
     108: 1
     110: 1
     139: 1

140:   0: 1
       1: 1
       2: q+1
       3: 1
       4: q+1
       6: 1
       7: q+1
       9: 1
      14: 1
      20: 1
      21: 1
      22: q+1
      26: 1
      27: 1
      32: 1
      33: 1
      34: 1
      38: 1
      39: 1
      40: 1
      50: 1
      52: 1
      54: 1
      63: 1
      64: 1
      69: 1
      71: 1
      75: 1
      76: 1
      77: 1
      93: 1
      98: 1
     100: 1
     106: 1
     108: 1
     140: 1

141:   5: q+1
       8: q+1
      10: 1
      11: 1
      13: 1
      15: q+1
      16: 1
      17: 1
      18: 1
      23: q+1
      24: 1
      25: 1
      28: 1
      30: 1
      35: 1
      36: 1
      37: 1
      41: 1
      42: 1
      43: 1
      51: 1
      53: 1
      55: 1
      65: 1
      67: 1
      72: 1
      73: 1
      78: 1
      79: 1
      80: 1
      94: 1
      99: 1
     101: 1
     109: 1
     110: 1
     141: 1

142:   0: 1
       1: q+1
       2: 1
       3: q+1
       4: 1
       6: 1
       7: q+1
       9: 1
      12: 1
      20: 1
      21: 1
      22: 1
      26: 1
      27: 1
      29: 1
      32: 1
      33: 1
      38: 1
      39: q+1
      40: 1
      50: 1
      52: 1
      54: 1
      63: 1
      64: 1
      66: 1
      69: 1
      70: 1
      75: 1
      76: 1
      89: 1
      98: 1
     100: 1
     112: 1
     113: 1
     142: 1

143:   5: 1
       8: q+1
      10: 1
      11: 1
      13: q+1
      15: 1
      17: q+1
      18: 1
      19: 1
      23: 1
      24: 1
      25: 1
      28: 1
      30: 1
      31: 1
      36: 1
      37: 1
      41: 1
      42: q+1
      43: 1
      51: 1
      53: 1
      55: 1
      65: 1
      67: 1
      68: 1
      73: 1
      74: 1
      78: 1
      79: 1
      90: 1
      99: 1
     101: 1
     116: 1
     117: 1
     143: 1

144:   0: 1
       2: q+1
       3: q+1
       4: 1
       5: q+1
       9: q+1
      10: 1
      11: q+1
      15: 1
      16: q+1
      26: 1
      27: 1
      28: 1
      30: 1
      32: 1
      35: 1
      38: 1
      40: q+1
      41: q+1
      43: 1
      44: 1
      46: 1
      47: 1
      49: 1
      54: 1
      55: 1
      58: 1
      59: 1
      60: 1
      62: 1
      69: 1
      72: 1
      75: 1
      80: 1
      81: 1
      83: 1
      88: 1
      91: 1
     112: 1
     115: 1
     124: 1
     127: 1
     144: 1

145:   0: q+1
       2: 1
       4: q+1
       5: 1
       9: 1
      10: q+1
      11: 1
      14: q+1
      15: q+1
      17: q+1
      26: 1
      27: 1
      28: 1
      30: 1
      34: 1
      36: 1
      38: q+1
      40: 1
      41: 1
      43: q+1
      44: 1
      46: 1
      47: 1
      49: 1
      54: 1
      55: 1
      58: 1
      59: 1
      60: 1
      62: 1
      71: 1
      73: 1
      77: 1
      78: 1
      84: 1
      86: 1
      88: 1
      92: 1
     114: 1
     116: 1
     126: 1
     128: 1
     145: 1

146:   0: 1
       2: 1
       3: 1
       4: 1
       9: 1
      14: 1
      26: 1
      27: 1
      32: 1
      34: 1
      38: 1
      40: 1
      54: 1
      69: 1
      71: 1
      75: 1
      77: 1
      93: 1
     112: 1
     114: 1
     146: 1

147:   5: 1
      10: 1
      11: 1
      15: 1
      16: 1
      17: 1
      28: 1
      30: 1
      35: 1
      36: 1
      41: 1
      43: 1
      55: 1
      72: 1
      73: 1
      78: 1
      80: 1
      94: 1
     115: 1
     116: 1
     147: 1

148:   0: 1
       1: q+1
       2: 1
       3: q+1
       5: 1
       6: 1
       8: q+1
      10: 1
      12: 1
      20: 1
      21: 1
      23: 1
      26: 1
      28: 1
      29: 1
      32: 1
      33: 1
      44: 1
      45: q+1
      46: 1
      50: 1
      56: 1
      58: 1
      63: 1
      65: 1
      66: 1
      69: 1
      70: 1
      81: 1
      82: 1
      89: 1
     102: 1
     104: 1
     118: 1
     119: 1
     148: 1

149:   4: 1
       7: q+1
       9: 1
      11: 1
      13: q+1
      15: 1
      17: q+1
      18: 1
      19: 1
      22: 1
      24: 1
      25: 1
      27: 1
      30: 1
      31: 1
      36: 1
      37: 1
      47: 1
      48: q+1
      49: 1
      51: 1
      57: 1
      59: 1
      64: 1
      67: 1
      68: 1
      73: 1
      74: 1
      84: 1
      85: 1
      90: 1
     103: 1
     105: 1
     122: 1
     123: 1
     149: 1

150:   0: 1
       2: 1
       3: 1
       5: 1
      10: 1
      16: 1
      26: 1
      28: 1
      32: 1
      35: 1
      44: 1
      46: 1
      58: 1
      69: 1
      72: 1
      81: 1
      83: 1
      91: 1
     118: 1
     120: 1
     150: 1

151:   4: 1
       9: 1
      11: 1
      14: 1
      15: 1
      17: 1
      27: 1
      30: 1
      34: 1
      36: 1
      47: 1
      49: 1
      59: 1
      71: 1
      73: 1
      84: 1
      86: 1
      92: 1
     121: 1
     122: 1
     151: 1

152:   0: 1
       2: q+1
       3: q+1
       4: q+1
       5: 1
       9: 1
      10: q+1
      11: q+1
      14: q+1
      15: 1
      26: 1
      27: 1
      28: 1
      30: 1
      32: 1
      34: 1
      38: 1
      40: 1
      41: 1
      43: 1
      44: 1
      46: q+1
      47: q+1
      49: 1
      54: 1
      55: 1
      58: 1
      59: 1
      60: 1
      62: 1
      69: 1
      71: 1
      75: 1
      77: 1
      81: 1
      86: 1
      88: 1
      93: 1
     118: 1
     121: 1
     124: 1
     126: 1
     152: 1

153:   0: q+1
       2: 1
       4: 1
       5: q+1
       9: q+1
      10: 1
      11: 1
      15: q+1
      16: q+1
      17: q+1
      26: 1
      27: 1
      28: 1
      30: 1
      35: 1
      36: 1
      38: 1
      40: 1
      41: 1
      43: 1
      44: q+1
      46: 1
      47: 1
      49: q+1
      54: 1
      55: 1
      58: 1
      59: 1
      60: 1
      62: 1
      72: 1
      73: 1
      78: 1
      80: 1
      83: 1
      84: 1
      88: 1
      94: 1
     120: 1
     122: 1
     127: 1
     128: 1
     153: 1

154:   0: 1
       1: 1
       3: q+1
       4: 1
       5: 1
       6: q+1
       7: 1
       8: 1
      11: 1
      13: 1
      20: 1
      21: q+1
      22: 1
      23: 1
      24: 1
      32: 1
      33: 1
      38: 1
      39: 1
      41: 1
      42: 1
      44: 1
      45: 1
      47: 1
      48: 1
      50: 1
      52: 1
      53: 1
      56: 1
      57: 1
      60: 1
      61: 1
      75: 1
      76: 1
      81: 1
      82: 1
      87: 1
     100: 1
     104: 1
     124: 1
     125: 1
     154: 1

155:   0: 1
       1: 1
       4: 1
       5: 1
       7: 1
       8: 1
      11: 1
      13: 1
      17: q+1
      18: q+1
      20: 1
      22: 1
      23: 1
      24: 1
      25: q+1
      36: 1
      37: 1
      38: 1
      39: 1
      41: 1
      42: 1
      44: 1
      45: 1
      47: 1
      48: 1
      51: 1
      52: 1
      53: 1
      56: 1
      57: 1
      60: 1
      61: 1
      78: 1
      79: 1
      84: 1
      85: 1
      87: 1
     101: 1
     105: 1
     128: 1
     129: 1
     155: 1

156:   0: 1
       3: 1
       4: 1
       5: 1
      11: 1
      17: 1
      32: 1
      36: 1
      38: 1
      41: 1
      44: 1
      47: 1
      60: 1
      75: 1
      78: 1
      81: 1
      84: 1
      95: 1
     124: 1
     128: 1
     156: 1

157:   1: 1
       6: 1
       7: 1
       8: 1
      13: 1
      18: 1
      33: 1
      37: 1
      39: 1
      42: 1
      45: 1
      48: 1
      61: 1
      76: 1
      79: 1
      82: 1
      85: 1
      96: 1
     125: 1
     129: 1
     157: 1

158:   2: 1
       9: 1
      10: 1
      14: 1
      15: 1
      16: 1
      34: 1
      35: 1
      40: 1
      43: 1
      46: 1
      49: 1
      62: 1
      77: 1
      80: 1
      83: 1
      86: 1
      97: 1
     126: 1
     127: 1
     158: 1

159:   0: 1
       1: 1
       2: q+1
       3: q+1
       4: 1
       6: q+1
       7: 1
       9: q+1
      20: 1
      21: q+1
      22: 1
      26: 1
      27: 1
      32: 1
      33: 1
      38: 1
      39: 1
      40: q+1
      50: 1
      52: 1
      54: 1
      63: 1
      64: 1
      69: 1
      75: 1
      76: 1
      98: 1
     100: 1
     106: 1
     112: 1
     159: 1

160:   0: 1
       1: 1
       3: 1
       4: 1
       6: 1
       7: 1
      12: q+1
      20: 1
      21: 1
      22: 1
      29: 1
      32: 1
      33: 1
      38: 1
      39: 1
      50: 1
      52: 1
      66: 1
      70: 1
      75: 1
      76: 1
     100: 1
     107: 1
     113: 1
     160: 1

161:   0: 1
       1: 1
       2: 1
       4: 1
       7: 1
       9: 1
      14: q+1
      20: 1
      22: 1
      26: 1
      27: 1
      34: 1
      38: 1
      39: 1
      40: 1
      52: 1
      54: 1
      63: 1
      64: 1
      71: 1
      77: 1
      98: 1
     108: 1
     114: 1
     161: 1

162:   5: 1
       8: 1
      10: 1
      11: 1
      13: 1
      15: 1
      16: q+1
      23: 1
      24: 1
      28: 1
      30: 1
      35: 1
      41: 1
      42: 1
      43: 1
      53: 1
      55: 1
      65: 1
      67: 1
      72: 1
      80: 1
      99: 1
     109: 1
     115: 1
     162: 1

163:   5: 1
       8: 1
      10: q+1
      11: 1
      13: 1
      15: q+1
      17: q+1
      18: q+1
      23: 1
      24: 1
      25: q+1
      28: 1
      30: 1
      36: 1
      37: 1
      41: 1
      42: 1
      43: q+1
      51: 1
      53: 1
      55: 1
      65: 1
      67: 1
      73: 1
      78: 1
      79: 1
      99: 1
     101: 1
     110: 1
     116: 1
     163: 1

164:   5: 1
       8: 1
      11: 1
      13: 1
      17: 1
      18: 1
      19: q+1
      23: 1
      24: 1
      25: 1
      31: 1
      36: 1
      37: 1
      41: 1
      42: 1
      51: 1
      53: 1
      68: 1
      74: 1
      78: 1
      79: 1
     101: 1
     111: 1
     117: 1
     164: 1

165:   0: 1
       1: 1
       2: q+1
       3: q+1
       5: 1
       6: q+1
       8: 1
      10: q+1
      20: 1
      21: q+1
      23: 1
      26: 1
      28: 1
      32: 1
      33: 1
      44: 1
      45: 1
      46: q+1
      50: 1
      56: 1
      58: 1
      63: 1
      65: 1
      69: 1
      81: 1
      82: 1
     102: 1
     104: 1
     106: 1
     118: 1
     165: 1

166:   0: 1
       1: 1
       3: 1
       5: 1
       6: 1
       8: 1
      12: q+1
      20: 1
      21: 1
      23: 1
      29: 1
      32: 1
      33: 1
      44: 1
      45: 1
      50: 1
      56: 1
      66: 1
      70: 1
      81: 1
      82: 1
     104: 1
     107: 1
     119: 1
     166: 1

167:   0: 1
       1: 1
       2: 1
       5: 1
       8: 1
      10: 1
      16: q+1
      20: 1
      23: 1
      26: 1
      28: 1
      35: 1
      44: 1
      45: 1
      46: 1
      56: 1
      58: 1
      63: 1
      65: 1
      72: 1
      83: 1
     102: 1
     109: 1
     120: 1
     167: 1

168:   4: 1
       7: 1
       9: 1
      11: 1
      13: 1
      14: q+1
      15: 1
      22: 1
      24: 1
      27: 1
      30: 1
      34: 1
      47: 1
      48: 1
      49: 1
      57: 1
      59: 1
      64: 1
      67: 1
      71: 1
      86: 1
     103: 1
     108: 1
     121: 1
     168: 1

169:   4: 1
       7: 1
       9: q+1
      11: 1
      13: 1
      15: q+1
      17: q+1
      18: q+1
      22: 1
      24: 1
      25: q+1
      27: 1
      30: 1
      36: 1
      37: 1
      47: 1
      48: 1
      49: q+1
      51: 1
      57: 1
      59: 1
      64: 1
      67: 1
      73: 1
      84: 1
      85: 1
     103: 1
     105: 1
     110: 1
     122: 1
     169: 1

170:   4: 1
       7: 1
      11: 1
      13: 1
      17: 1
      18: 1
      19: q+1
      22: 1
      24: 1
      25: 1
      31: 1
      36: 1
      37: 1
      47: 1
      48: 1
      51: 1
      57: 1
      68: 1
      74: 1
      84: 1
      85: 1
     105: 1
     111: 1
     123: 1
     170: 1

171:   0: 1
       2: 1
       3: 2q+1
       4: 1
       5: 1
       9: 1
      10: 1
      11: 1
      15: 1
      26: 1
      27: 1
      28: 1
      30: 1
      32: 1
      38: 1
      40: 1
      41: 1
      43: 1
      44: 1
      46: 1
      47: 1
      49: 1
      54: 1
      55: 1
      58: 1
      59: 1
      60: 1
      62: 1
      69: 1
      75: 1
      81: 1
      88: 1
     112: 1
     118: 1
     124: 1
     171: 1

172:   1: 1
       6: q+1
       7: 1
       8: 1
      12: q+1
      13: 1
      29: q+1
      33: 1
      39: 1
      42: 1
      45: 1
      48: 1
      61: 1
      70: 1
      76: 1
      82: 1
     113: 1
     119: 1
     125: 1
     172: 1

173:   0: 1
       2: 1
       4: 1
       5: 1
       9: 1
      10: 1
      11: 1
      14: 2q+1
      15: 1
      26: 1
      27: 1
      28: 1
      30: 1
      34: 1
      38: 1
      40: 1
      41: 1
      43: 1
      44: 1
      46: 1
      47: 1
      49: 1
      54: 1
      55: 1
      58: 1
      59: 1
      60: 1
      62: 1
      71: 1
      77: 1
      86: 1
      88: 1
     114: 1
     121: 1
     126: 1
     173: 1

174:   0: 1
       2: 1
       4: 1
       5: 1
       9: 1
      10: 1
      11: 1
      15: 1
      16: 2q+1
      26: 1
      27: 1
      28: 1
      30: 1
      35: 1
      38: 1
      40: 1
      41: 1
      43: 1
      44: 1
      46: 1
      47: 1
      49: 1
      54: 1
      55: 1
      58: 1
      59: 1
      60: 1
      62: 1
      72: 1
      80: 1
      83: 1
      88: 1
     115: 1
     120: 1
     127: 1
     174: 1

175:   0: 1
       2: 1
       4: 1
       5: 1
       9: 1
      10: 1
      11: 1
      15: 1
      17: 2q+1
      26: 1
      27: 1
      28: 1
      30: 1
      36: 1
      38: 1
      40: 1
      41: 1
      43: 1
      44: 1
      46: 1
      47: 1
      49: 1
      54: 1
      55: 1
      58: 1
      59: 1
      60: 1
      62: 1
      73: 1
      78: 1
      84: 1
      88: 1
     116: 1
     122: 1
     128: 1
     175: 1

176:   1: 1
       7: 1
       8: 1
      13: 1
      18: q+1
      19: q+1
      31: q+1
      37: 1
      39: 1
      42: 1
      45: 1
      48: 1
      61: 1
      74: 1
      79: 1
      85: 1
     117: 1
     123: 1
     129: 1
     176: 1

177:   0: 1
       1: q+1
       2: 1
       3: q+1
       4: q+1
       5: q+1
       6: 1
       7: q^2+2q+1
       8: q^2+2q+1
       9: q+1
      10: q+1
      11: 1
      12: 1
      13: q+1
      15: 1
      17: q+1
      18: 1
      19: 1
      20: 1
      21: 1
      22: q+1
      23: q+1
      24: 1
      25: 1
      26: 1
      27: q+1
      28: q+1
      29: 1
      30: 1
      31: 1
      32: 1
      33: 1
      36: 1
      37: 1
      38: 1
      39: q+1
      40: 1
      41: 1
      42: q+1
      43: 1
      44: 1
      45: q+1
      46: 1
      47: 1
      48: q+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: q+1
      62: 1
      63: 1
      64: q+1
      65: q+1
      66: 1
      67: 1
      68: 1
      69: 1
      70: 1
      73: 1
      74: 1
      75: 1
      76: 1
      78: 1
      79: 1
      81: 1
      82: 1
      84: 1
      85: 1
      87: 1
      88: 1
      89: 1
      90: 1
      95: 1
      96: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     112: 1
     113: 1
     116: 1
     117: 1
     118: 1
     119: 1
     122: 1
     123: 1
     131: 1
     132: 1
     133: 1
     134: 1
     142: 1
     143: 1
     148: 1
     149: 1
     177: 1

178:   0: q+1
       2: q+1
       3: q+1
       4: q+1
       5: q+1
       9: q+1
      10: q+1
      11: q+1
      14: q+1
      15: q+1
      16: q+1
      17: q+1
      26: q+1
      27: q+1
      28: q+1
      30: q+1
      32: q+1
      34: q+1
      35: q+1
      36: q+1
      38: 1
      40: 1
      41: 1
      43: 1
      44: 1
      46: 1
      47: 1
      49: 1
      54: 1
      55: 1
      58: 1
      59: 1
      60: 1
      62: 1
      69: q+1
      71: q+1
      72: q+1
      73: q+1
      75: 1
      77: 1
      78: 1
      80: 1
      81: 1
      83: 1
      84: 1
      86: 1
      88: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      97: 1
     112: 1
     114: 1
     115: 1
     116: 1
     118: 1
     120: 1
     121: 1
     122: 1
     130: 1
     133: 1
     135: 1
     146: 1
     147: 1
     150: 1
     151: 1
     178: 1

179:   0: 1
       1: 1
       2: q+1
       3: 1
       4: q+1
       5: q+1
       6: 1
       7: q+1
       8: q+1
       9: 1
      10: 1
      11: 1
      13: 1
      14: 1
      15: q+1
      16: 1
      17: 1
      18: 1
      20: 1
      21: 1
      22: q+1
      23: q+1
      24: 1
      25: 1
      26: 1
      27: 1
      28: 1
      30: 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
      67: 1
      69: 1
      71: 1
      72: 1
      73: 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
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: 1
     130: 1
     131: 1
     132: 1
     138: 1
     139: 1
     140: 1
     141: 1
     179: 1

180:   0: q+1
       2: q+1
       3: q+1
       4: q+1
       5: q+1
       9: q+1
      10: q+1
      11: q+1
      14: q+1
      15: q+1
      16: q+1
      17: q+1
      26: 1
      27: 1
      28: 1
      30: 1
      32: q+1
      34: q+1
      35: q+1
      36: q+1
      38: q+1
      40: q+1
      41: q+1
      43: q+1
      44: 1
      46: 1
      47: 1
      49: 1
      54: 1
      55: 1
      58: 1
      59: 1
      60: 1
      62: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: q+1
      77: q+1
      78: q+1
      80: q+1
      81: 1
      83: 1
      84: 1
      86: 1
      88: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      97: 1
     112: 1
     114: 1
     115: 1
     116: 1
     124: 1
     126: 1
     127: 1
     128: 1
     130: 1
     144: 1
     145: 1
     146: 1
     147: 1
     156: 1
     158: 1
     180: 1

181:   0: q+1
       2: q+1
       3: q+1
       4: q+1
       5: q+1
       9: q+1
      10: q+1
      11: q+1
      14: q+1
      15: q+1
      16: q+1
      17: q+1
      26: 1
      27: 1
      28: 1
      30: 1
      32: q+1
      34: q+1
      35: q+1
      36: q+1
      38: 1
      40: 1
      41: 1
      43: 1
      44: q+1
      46: q+1
      47: q+1
      49: q+1
      54: 1
      55: 1
      58: 1
      59: 1
      60: 1
      62: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: 1
      77: 1
      78: 1
      80: 1
      81: q+1
      83: q+1
      84: q+1
      86: q+1
      88: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      97: 1
     118: 1
     120: 1
     121: 1
     122: 1
     124: 1
     126: 1
     127: 1
     128: 1
     130: 1
     150: 1
     151: 1
     152: 1
     153: 1
     156: 1
     158: 1
     181: 1

182:   0: 1
       1: 1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
       8: 1
      11: 1
      13: 1
      17: 1
      18: 1
      20: 1
      21: 1
      22: 1
      23: 1
      24: 1
      25: 1
      32: 1
      33: 1
      36: 1
      37: 1
      38: 1
      39: 1
      41: 1
      42: 1
      44: 1
      45: 1
      47: 1
      48: 1
      50: 1
      51: 1
      52: 1
      53: 1
      56: 1
      57: 1
      60: 1
      61: 1
      75: 1
      76: 1
      78: 1
      79: 1
      81: 1
      82: 1
      84: 1
      85: 1
      87: 1
      95: 1
      96: 1
     100: 1
     101: 1
     104: 1
     105: 1
     124: 1
     125: 1
     128: 1
     129: 1
     131: 1
     154: 1
     155: 1
     156: 1
     157: 1
     182: 1

183:   0: 1
       1: 1
       2: q+1
       3: q+1
       4: q+1
       5: q+1
       6: q+1
       7: q+1
       8: q+1
       9: q^2+2q+1
      10: q^2+2q+1
      11: 1
      13: 1
      15: q+1
      17: q+1
      18: q+1
      20: 1
      21: q+1
      22: q+1
      23: q+1
      24: 1
      25: q+1
      26: 1
      27: q+1
      28: q+1
      30: 1
      32: 1
      33: 1
      36: 1
      37: 1
      38: 1
      39: 1
      40: q+1
      41: 1
      42: 1
      43: q+1
      44: 1
      45: 1
      46: q+1
      47: 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: 1
      61: 1
      62: q+1
      63: 1
      64: q+1
      65: q+1
      67: 1
      69: 1
      73: 1
      75: 1
      76: 1
      78: 1
      79: 1
      81: 1
      82: 1
      84: 1
      85: 1
      87: 1
      88: 1
      95: 1
      96: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     110: 1
     112: 1
     116: 1
     118: 1
     122: 1
     131: 1
     132: 1
     133: 1
     159: 1
     163: 1
     165: 1
     169: 1
     183: 1

184:   0: 1
       1: 1
       3: 1
       4: q+1
       5: q+1
       6: 1
       7: q+1
       8: q+1
      11: 1
      12: q+1
      13: 1
      17: 1
      18: 1
      19: q+1
      20: 1
      21: 1
      22: q+1
      23: q+1
      24: 1
      25: 1
      29: 1
      31: 1
      32: 1
      33: 1
      36: 1
      37: 1
      38: 1
      39: 1
      41: 1
      42: 1
      44: 1
      45: 1
      47: 1
      48: 1
      50: 1
      51: 1
      52: 1
      53: 1
      56: 1
      57: 1
      60: 1
      61: 1
      66: 1
      68: 1
      70: 1
      74: 1
      75: 1
      76: 1
      78: 1
      79: 1
      81: 1
      82: 1
      84: 1
      85: 1
      87: 1
      95: 1
      96: 1
     100: 1
     101: 1
     104: 1
     105: 1
     107: 1
     111: 1
     113: 1
     117: 1
     119: 1
     123: 1
     131: 1
     134: 1
     160: 1
     164: 1
     166: 1
     170: 1
     184: 1

185:   0: q+1
       1: q+1
       2: q+1
       4: 1
       5: 1
       7: 1
       8: 1
       9: 1
      10: 1
      11: q+1
      13: q+1
      14: q^2+q+1
      15: q+1
      16: q^2+q+1
      20: q+1
      22: 1
      23: 1
      24: q+1
      26: q+1
      27: 1
      28: 1
      30: q+1
      34: 1
      35: 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
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: 1
      63: q+1
      64: 1
      65: 1
      67: q+1
      71: 1
      72: 1
      77: 1
      80: 1
      83: 1
      86: 1
      87: 1
      88: 1
      97: 1
      98: 1
      99: 1
     102: 1
     103: 1
     108: 1
     109: 1
     114: 1
     115: 1
     120: 1
     121: 1
     132: 1
     135: 1
     161: 1
     162: 1
     167: 1
     168: 1
     185: 1

186:   0: q+1
       1: 1
       2: q+1
       3: q+1
       5: 1
       6: 1
       8: q^2+1
      10: 1
      12: 1
      16: 1
      20: 1
      21: 1
      23: 1
      26: q+1
      28: 1
      29: 1
      32: q+1
      33: 1
      35: 1
      44: 1
      45: 1
      46: 1
      50: 1
      56: 1
      58: 1
      63: 1
      65: 1
      66: 1
      69: q+1
      70: 1
      72: 1
      81: 1
      82: 1
      83: 1
      89: 1
      91: 1
     102: 1
     104: 1
     106: 1
     107: 1
     109: 1
     118: 1
     119: 1
     120: 1
     136: 1
     138: 1
     148: 1
     150: 1
     186: 1

187:   4: 1
       7: q^2+1
       9: 1
      11: q+1
      13: 1
      14: 1
      15: q+1
      17: q+1
      18: 1
      19: 1
      22: 1
      24: 1
      25: 1
      27: 1
      30: q+1
      31: 1
      34: 1
      36: q+1
      37: 1
      47: 1
      48: 1
      49: 1
      51: 1
      57: 1
      59: 1
      64: 1
      67: 1
      68: 1
      71: 1
      73: q+1
      74: 1
      84: 1
      85: 1
      86: 1
      90: 1
      92: 1
     103: 1
     105: 1
     108: 1
     110: 1
     111: 1
     121: 1
     122: 1
     123: 1
     137: 1
     139: 1
     149: 1
     151: 1
     187: 1

188:   0: q+1
       1: 1
       2: q+1
       3: q+1
       4: 1
       6: 1
       7: q^2+1
       9: 1
      12: 1
      14: 1
      20: 1
      21: 1
      22: 1
      26: q+1
      27: 1
      29: 1
      32: q+1
      33: 1
      34: 1
      38: 1
      39: 1
      40: 1
      50: 1
      52: 1
      54: 1
      63: 1
      64: 1
      66: 1
      69: q+1
      70: 1
      71: 1
      75: 1
      76: 1
      77: 1
      89: 1
      93: 1
      98: 1
     100: 1
     106: 1
     107: 1
     108: 1
     112: 1
     113: 1
     114: 1
     136: 1
     140: 1
     142: 1
     146: 1
     188: 1

189:   5: 1
       8: q^2+1
      10: 1
      11: q+1
      13: 1
      15: q+1
      16: 1
      17: q+1
      18: 1
      19: 1
      23: 1
      24: 1
      25: 1
      28: 1
      30: q+1
      31: 1
      35: 1
      36: q+1
      37: 1
      41: 1
      42: 1
      43: 1
      51: 1
      53: 1
      55: 1
      65: 1
      67: 1
      68: 1
      72: 1
      73: q+1
      74: 1
      78: 1
      79: 1
      80: 1
      90: 1
      94: 1
      99: 1
     101: 1
     109: 1
     110: 1
     111: 1
     115: 1
     116: 1
     117: 1
     137: 1
     141: 1
     143: 1
     147: 1
     189: 1

190:   0: 1
       1: 1
       2: 1
       3: q+1
       4: 1
       6: q+1
       7: 1
       9: 1
      12: q+1
      20: 1
      21: q+1
      22: 1
      26: 1
      27: 1
      29: q+1
      32: 1
      33: 1
      38: 1
      39: 1
      40: 1
      50: 1
      52: 1
      54: 1
      63: 1
      64: 1
      66: q+1
      69: 1
      70: 1
      75: 1
      76: 1
      89: 1
      98: 1
     100: 1
     106: 1
     107: 1
     112: 1
     113: 1
     136: 1
     142: 1
     159: 1
     160: 1
     190: 1

191:   5: 1
       8: 1
      10: 1
      11: 1
      13: 1
      15: 1
      17: q+1
      18: q+1
      19: q+1
      23: 1
      24: 1
      25: q+1
      28: 1
      30: 1
      31: q+1
      36: 1
      37: 1
      41: 1
      42: 1
      43: 1
      51: 1
      53: 1
      55: 1
      65: 1
      67: 1
      68: q+1
      73: 1
      74: 1
      78: 1
      79: 1
      90: 1
      99: 1
     101: 1
     110: 1
     111: 1
     116: 1
     117: 1
     137: 1
     143: 1
     163: 1
     164: 1
     191: 1

192:   0: 1
       1: 1
       2: q+1
       3: q+1
       4: 1
       5: q+1
       6: q+1
       7: 1
       8: q+1
       9: q+1
      10: 1
      11: q+1
      13: q+1
      15: 1
      16: q+1
      20: 1
      21: q+1
      22: 1
      23: q+1
      24: q+1
      26: 1
      27: 1
      28: 1
      30: 1
      32: 1
      33: 1
      35: 1
      38: 1
      39: 1
      40: q+1
      41: q+1
      42: q+1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      48: 1
      49: 1
      50: 1
      52: 1
      53: q+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
      67: 1
      69: 1
      72: 1
      75: 1
      76: 1
      80: 1
      81: 1
      82: 1
      83: 1
      87: 1
      88: 1
      91: 1
      98: 1
      99: 1
     100: 1
     102: 1
     103: 1
     104: 1
     106: 1
     109: 1
     112: 1
     115: 1
     124: 1
     125: 1
     127: 1
     132: 1
     138: 1
     144: 1
     154: 1
     159: 1
     162: 1
     192: 1

193:   0: q+1
       1: q+1
       2: 1
       4: q+1
       5: 1
       7: q+1
       8: 1
       9: 1
      10: q+1
      11: 1
      13: 1
      14: q+1
      15: q+1
      17: q+1
      18: q+1
      20: q+1
      22: q+1
      23: 1
      24: 1
      25: q+1
      26: 1
      27: 1
      28: 1
      30: 1
      34: 1
      36: 1
      37: 1
      38: q+1
      39: q+1
      40: 1
      41: 1
      42: 1
      43: q+1
      44: 1
      45: 1
      46: 1
      47: 1
      48: 1
      49: 1
      51: 1
      52: q+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
      67: 1
      71: 1
      73: 1
      77: 1
      78: 1
      79: 1
      84: 1
      85: 1
      86: 1
      87: 1
      88: 1
      92: 1
      98: 1
      99: 1
     101: 1
     102: 1
     103: 1
     105: 1
     108: 1
     110: 1
     114: 1
     116: 1
     126: 1
     128: 1
     129: 1
     132: 1
     139: 1
     145: 1
     155: 1
     161: 1
     163: 1
     193: 1

194:   0: 1
       1: 1
       2: q+1
       3: 1
       4: 1
       6: 1
       7: 1
       9: q+1
      14: q+1
      20: 1
      21: 1
      22: 1
      26: 1
      27: 1
      32: 1
      33: 1
      34: q+1
      38: 1
      39: 1
      40: q+1
      50: 1
      52: 1
      54: 1
      63: 1
      64: 1
      69: 1
      71: 1
      75: 1
      76: 1
      77: q+1
      93: 1
      98: 1
     100: 1
     106: 1
     108: 1
     112: 1
     114: 1
     140: 1
     146: 1
     159: 1
     161: 1
     194: 1

195:   5: 1
       8: 1
      10: q+1
      11: 1
      13: 1
      15: q+1
      16: q+1
      17: 1
      18: 1
      23: 1
      24: 1
      25: 1
      28: 1
      30: 1
      35: q+1
      36: 1
      37: 1
      41: 1
      42: 1
      43: q+1
      51: 1
      53: 1
      55: 1
      65: 1
      67: 1
      72: 1
      73: 1
      78: 1
      79: 1
      80: q+1
      94: 1
      99: 1
     101: 1
     109: 1
     110: 1
     115: 1
     116: 1
     141: 1
     147: 1
     162: 1
     163: 1
     195: 1

196:   0: 1
       1: 1
       2: 1
       3: q+1
       5: 1
       6: q+1
       8: 1
      10: 1
      12: q+1
      20: 1
      21: q+1
      23: 1
      26: 1
      28: 1
      29: q+1
      32: 1
      33: 1
      44: 1
      45: 1
      46: 1
      50: 1
      56: 1
      58: 1
      63: 1
      65: 1
      66: q+1
      69: 1
      70: 1
      81: 1
      82: 1
      89: 1
     102: 1
     104: 1
     106: 1
     107: 1
     118: 1
     119: 1
     136: 1
     148: 1
     165: 1
     166: 1
     196: 1

197:   4: 1
       7: 1
       9: 1
      11: 1
      13: 1
      15: 1
      17: q+1
      18: q+1
      19: q+1
      22: 1
      24: 1
      25: q+1
      27: 1
      30: 1
      31: q+1
      36: 1
      37: 1
      47: 1
      48: 1
      49: 1
      51: 1
      57: 1
      59: 1
      64: 1
      67: 1
      68: q+1
      73: 1
      74: 1
      84: 1
      85: 1
      90: 1
     103: 1
     105: 1
     110: 1
     111: 1
     122: 1
     123: 1
     137: 1
     149: 1
     169: 1
     170: 1
     197: 1

198:   0: 1
       1: 1
       2: q+1
       3: 1
       5: 1
       6: 1
       8: 1
      10: q+1
      16: q+1
      20: 1
      21: 1
      23: 1
      26: 1
      28: 1
      32: 1
      33: 1
      35: q+1
      44: 1
      45: 1
      46: q+1
      50: 1
      56: 1
      58: 1
      63: 1
      65: 1
      69: 1
      72: 1
      81: 1
      82: 1
      83: q+1
      91: 1
     102: 1
     104: 1
     106: 1
     109: 1
     118: 1
     120: 1
     138: 1
     150: 1
     165: 1
     167: 1
     198: 1

199:   4: 1
       7: 1
       9: q+1
      11: 1
      13: 1
      14: q+1
      15: q+1
      17: 1
      18: 1
      22: 1
      24: 1
      25: 1
      27: 1
      30: 1
      34: q+1
      36: 1
      37: 1
      47: 1
      48: 1
      49: q+1
      51: 1
      57: 1
      59: 1
      64: 1
      67: 1
      71: 1
      73: 1
      84: 1
      85: 1
      86: q+1
      92: 1
     103: 1
     105: 1
     108: 1
     110: 1
     121: 1
     122: 1
     139: 1
     151: 1
     168: 1
     169: 1
     199: 1

200:   0: 1
       1: 1
       2: q+1
       3: q+1
       4: q+1
       5: 1
       6: q+1
       7: q+1
       8: 1
       9: 1
      10: q+1
      11: q+1
      13: q+1
      14: q+1
      15: 1
      20: 1
      21: q+1
      22: q+1
      23: 1
      24: q+1
      26: 1
      27: 1
      28: 1
      30: 1
      32: 1
      33: 1
      34: 1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: q+1
      47: q+1
      48: q+1
      49: 1
      50: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: q+1
      58: 1
      59: 1
      60: 1
      61: 1
      62: 1
      63: 1
      64: 1
      65: 1
      67: 1
      69: 1
      71: 1
      75: 1
      76: 1
      77: 1
      81: 1
      82: 1
      86: 1
      87: 1
      88: 1
      93: 1
      98: 1
      99: 1
     100: 1
     102: 1
     103: 1
     104: 1
     106: 1
     108: 1
     118: 1
     121: 1
     124: 1
     125: 1
     126: 1
     132: 1
     140: 1
     152: 1
     154: 1
     165: 1
     168: 1
     200: 1

201:   0: q+1
       1: q+1
       2: 1
       4: 1
       5: q+1
       7: 1
       8: q+1
       9: q+1
      10: 1
      11: 1
      13: 1
      15: q+1
      16: q+1
      17: q+1
      18: q+1
      20: q+1
      22: 1
      23: q+1
      24: 1
      25: q+1
      26: 1
      27: 1
      28: 1
      30: 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
      46: 1
      47: 1
      48: 1
      49: q+1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: q+1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: 1
      63: 1
      64: 1
      65: 1
      67: 1
      72: 1
      73: 1
      78: 1
      79: 1
      80: 1
      83: 1
      84: 1
      85: 1
      87: 1
      88: 1
      94: 1
      98: 1
      99: 1
     101: 1
     102: 1
     103: 1
     105: 1
     109: 1
     110: 1
     120: 1
     122: 1
     127: 1
     128: 1
     129: 1
     132: 1
     141: 1
     153: 1
     155: 1
     167: 1
     169: 1
     201: 1

202:   0: 1
       1: q+1
       2: 1
       3: q^2+2q+1
       4: 1
       5: 1
       6: q+1
       7: q+1
       8: q+1
       9: 1
      10: 1
      11: 1
      12: q+1
      13: q+1
      15: 1
      20: 1
      21: q+1
      22: 1
      23: 1
      24: 1
      26: 1
      27: 1
      28: 1
      29: q+1
      30: 1
      32: 1
      33: 1
      38: 1
      39: q+1
      40: 1
      41: 1
      42: q+1
      43: 1
      44: 1
      45: q+1
      46: 1
      47: 1
      48: q+1
      49: 1
      50: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: q+1
      62: 1
      63: 1
      64: 1
      65: 1
      66: q+1
      67: 1
      69: 1
      70: 1
      75: 1
      76: 1
      81: 1
      82: 1
      87: 1
      88: 1
      89: 1
      98: 1
      99: 1
     100: 1
     102: 1
     103: 1
     104: 1
     112: 1
     113: 1
     118: 1
     119: 1
     124: 1
     125: 1
     132: 1
     142: 1
     148: 1
     154: 1
     171: 1
     172: 1
     202: 1

203:   0: 1
       1: q+1
       2: 1
       4: 1
       5: 1
       7: q+1
       8: q+1
       9: 1
      10: 1
      11: 1
      13: q+1
      15: 1
      17: q^2+2q+1
      18: q+1
      19: q+1
      20: 1
      22: 1
      23: 1
      24: 1
      25: q+1
      26: 1
      27: 1
      28: 1
      30: 1
      31: q+1
      36: 1
      37: 1
      38: 1
      39: q+1
      40: 1
      41: 1
      42: q+1
      43: 1
      44: 1
      45: q+1
      46: 1
      47: 1
      48: q+1
      49: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: q+1
      62: 1
      63: 1
      64: 1
      65: 1
      67: 1
      68: q+1
      73: 1
      74: 1
      78: 1
      79: 1
      84: 1
      85: 1
      87: 1
      88: 1
      90: 1
      98: 1
      99: 1
     101: 1
     102: 1
     103: 1
     105: 1
     116: 1
     117: 1
     122: 1
     123: 1
     128: 1
     129: 1
     132: 1
     143: 1
     149: 1
     155: 1
     175: 1
     176: 1
     203: 1

204:   0: 1
       2: 1
       3: q+1
       4: 1
       5: 1
       9: 1
      10: 1
      11: 1
      15: 1
      17: q+1
      26: 1
      27: 1
      28: 1
      30: 1
      32: 1
      36: 1
      38: 1
      40: 1
      41: 1
      43: 1
      44: 1
      46: 1
      47: 1
      49: 1
      54: 1
      55: 1
      58: 1
      59: 1
      60: 1
      62: 1
      69: 1
      73: 1
      75: 1
      78: 1
      81: 1
      84: 1
      88: 1
      95: 1
     112: 1
     116: 1
     118: 1
     122: 1
     124: 1
     128: 1
     133: 1
     156: 1
     171: 1
     175: 1
     204: 1

205:   1: q+1
       6: 1
       7: q+1
       8: q+1
      12: 1
      13: q+1
      18: 1
      19: 1
      29: 1
      31: 1
      33: 1
      37: 1
      39: q+1
      42: q+1
      45: q+1
      48: q+1
      61: q+1
      70: 1
      74: 1
      76: 1
      79: 1
      82: 1
      85: 1
      96: 1
     113: 1
     117: 1
     119: 1
     123: 1
     125: 1
     129: 1
     134: 1
     157: 1
     172: 1
     176: 1
     205: 1

206:   0: 1
       2: 1
       4: 1
       5: 1
       9: 1
      10: 1
      11: 1
      14: q+1
      15: 1
      16: q+1
      26: 1
      27: 1
      28: 1
      30: 1
      34: 1
      35: 1
      38: 1
      40: 1
      41: 1
      43: 1
      44: 1
      46: 1
      47: 1
      49: 1
      54: 1
      55: 1
      58: 1
      59: 1
      60: 1
      62: 1
      71: 1
      72: 1
      77: 1
      80: 1
      83: 1
      86: 1
      88: 1
      97: 1
     114: 1
     115: 1
     120: 1
     121: 1
     126: 1
     127: 1
     135: 1
     158: 1
     173: 1
     174: 1
     206: 1

207:   0: 1
       2: 1
       3: q+1
       4: 1
       5: 1
       9: 1
      10: 1
      11: 1
      15: 1
      16: q+1
      26: 1
      27: 1
      28: 1
      30: 1
      32: 1
      35: 1
      38: 1
      40: 1
      41: 1
      43: 1
      44: 1
      46: 1
      47: 1
      49: 1
      54: 1
      55: 1
      58: 1
      59: 1
      60: 1
      62: 1
      69: 1
      72: 1
      75: 1
      80: 1
      81: 1
      83: 1
      88: 1
      91: 1
     112: 1
     115: 1
     118: 1
     120: 1
     124: 1
     127: 1
     144: 1
     150: 1
     171: 1
     174: 1
     207: 1

208:   0: 1
       2: 1
       4: 1
       5: 1
       9: 1
      10: 1
      11: 1
      14: q+1
      15: 1
      17: q+1
      26: 1
      27: 1
      28: 1
      30: 1
      34: 1
      36: 1
      38: 1
      40: 1
      41: 1
      43: 1
      44: 1
      46: 1
      47: 1
      49: 1
      54: 1
      55: 1
      58: 1
      59: 1
      60: 1
      62: 1
      71: 1
      73: 1
      77: 1
      78: 1
      84: 1
      86: 1
      88: 1
      92: 1
     114: 1
     116: 1
     121: 1
     122: 1
     126: 1
     128: 1
     145: 1
     151: 1
     173: 1
     175: 1
     208: 1

209:   0: 1
       2: 1
       3: q+1
       4: 1
       5: 1
       9: 1
      10: 1
      11: 1
      14: q+1
      15: 1
      26: 1
      27: 1
      28: 1
      30: 1
      32: 1
      34: 1
      38: 1
      40: 1
      41: 1
      43: 1
      44: 1
      46: 1
      47: 1
      49: 1
      54: 1
      55: 1
      58: 1
      59: 1
      60: 1
      62: 1
      69: 1
      71: 1
      75: 1
      77: 1
      81: 1
      86: 1
      88: 1
      93: 1
     112: 1
     114: 1
     118: 1
     121: 1
     124: 1
     126: 1
     146: 1
     152: 1
     171: 1
     173: 1
     209: 1

210:   0: 1
       2: 1
       4: 1
       5: 1
       9: 1
      10: 1
      11: 1
      15: 1
      16: q+1
      17: q+1
      26: 1
      27: 1
      28: 1
      30: 1
      35: 1
      36: 1
      38: 1
      40: 1
      41: 1
      43: 1
      44: 1
      46: 1
      47: 1
      49: 1
      54: 1
      55: 1
      58: 1
      59: 1
      60: 1
      62: 1
      72: 1
      73: 1
      78: 1
      80: 1
      83: 1
      84: 1
      88: 1
      94: 1
     115: 1
     116: 1
     120: 1
     122: 1
     127: 1
     128: 1
     147: 1
     153: 1
     174: 1
     175: 1
     210: 1

211:   0: 3q+1
       2: q+1
       3: 3q+1
       4: q+1
       5: q+1
       9: 1
      10: 1
      11: 1
      14: 1
      15: q+1
      16: 1
      17: 1
      26: q+1
      27: 1
      28: 1
      30: 1
      32: 3q+1
      34: 1
      35: 1
      36: 1
      38: q+1
      40: 1
      41: 1
      43: 1
      44: q+1
      46: 1
      47: 1
      49: 1
      54: 1
      55: 1
      58: 1
      59: 1
      60: 1
      62: 1
      69: q+1
      71: 1
      72: 1
      73: 1
      75: q+1
      77: 1
      78: 1
      80: 1
      81: q+1
      83: 1
      84: 1
      86: 1
      88: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      97: 1
     112: 1
     114: 1
     118: 1
     120: 1
     124: 1
     128: 1
     130: 1
     146: 1
     150: 1
     156: 1
     171: 1
     211: 1

212:   1: 1
       6: 1
       7: 1
       8: 1
      12: q^2+1
      13: 1
      18: 1
      29: 1
      33: 1
      37: 1
      39: 1
      42: 1
      45: 1
      48: 1
      61: 1
      70: 1
      76: 1
      79: 1
      82: 1
      85: 1
      96: 1
     113: 1
     119: 1
     125: 1
     129: 1
     157: 1
     172: 1
     212: 1

213:   0: 1
       2: q+1
       3: 1
       4: q+1
       5: q+1
       9: 3q+1
      10: 1
      11: 1
      14: 3q+1
      15: q+1
      16: 1
      17: 1
      26: 1
      27: q+1
      28: 1
      30: 1
      32: 1
      34: 3q+1
      35: 1
      36: 1
      38: 1
      40: q+1
      41: 1
      43: 1
      44: 1
      46: 1
      47: 1
      49: q+1
      54: 1
      55: 1
      58: 1
      59: 1
      60: 1
      62: 1
      69: 1
      71: q+1
      72: 1
      73: 1
      75: 1
      77: q+1
      78: 1
      80: 1
      81: 1
      83: 1
      84: 1
      86: q+1
      88: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      97: 1
     112: 1
     114: 1
     121: 1
     122: 1
     126: 1
     127: 1
     130: 1
     146: 1
     151: 1
     158: 1
     173: 1
     213: 1

214:   0: 1
       2: q+1
       3: 1
       4: q+1
       5: q+1
       9: 1
      10: 3q+1
      11: 1
      14: 1
      15: q+1
      16: 3q+1
      17: 1
      26: 1
      27: 1
      28: q+1
      30: 1
      32: 1
      34: 1
      35: 3q+1
      36: 1
      38: 1
      40: 1
      41: 1
      43: q+1
      44: 1
      46: q+1
      47: 1
      49: 1
      54: 1
      55: 1
      58: 1
      59: 1
      60: 1
      62: 1
      69: 1
      71: 1
      72: q+1
      73: 1
      75: 1
      77: 1
      78: 1
      80: q+1
      81: 1
      83: q+1
      84: 1
      86: 1
      88: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      97: 1
     115: 1
     116: 1
     118: 1
     120: 1
     126: 1
     127: 1
     130: 1
     147: 1
     150: 1
     158: 1
     174: 1
     214: 1

215:   0: 1
       2: q+1
       3: 1
       4: q+1
       5: q+1
       9: 1
      10: 1
      11: 3q+1
      14: 1
      15: q+1
      16: 1
      17: 3q+1
      26: 1
      27: 1
      28: 1
      30: q+1
      32: 1
      34: 1
      35: 1
      36: 3q+1
      38: 1
      40: 1
      41: q+1
      43: 1
      44: 1
      46: 1
      47: q+1
      49: 1
      54: 1
      55: 1
      58: 1
      59: 1
      60: 1
      62: 1
      69: 1
      71: 1
      72: 1
      73: q+1
      75: 1
      77: 1
      78: q+1
      80: 1
      81: 1
      83: 1
      84: q+1
      86: 1
      88: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      97: 1
     115: 1
     116: 1
     121: 1
     122: 1
     124: 1
     128: 1
     130: 1
     147: 1
     151: 1
     156: 1
     175: 1
     215: 1

216:   1: 1
       6: 1
       7: 1
       8: 1
      13: 1
      18: 1
      19: q^2+1
      31: 1
      33: 1
      37: 1
      39: 1
      42: 1
      45: 1
      48: 1
      61: 1
      74: 1
      76: 1
      79: 1
      82: 1
      85: 1
      96: 1
     117: 1
     123: 1
     125: 1
     129: 1
     157: 1
     176: 1
     216: 1

217:   0: 1
       1: 1
       2: q+1
       3: 2q+1
       4: 1
       5: 1
       6: 2q+1
       7: 1
       8: 1
       9: q+1
      10: q+1
      11: 1
      13: 1
      15: q+1
      20: 1
      21: 2q+1
      22: 1
      23: 1
      24: 1
      26: 1
      27: 1
      28: 1
      30: 1
      32: 1
      33: 1
      38: 1
      39: 1
      40: q+1
      41: 1
      42: 1
      43: q+1
      44: 1
      45: 1
      46: q+1
      47: 1
      48: 1
      49: q+1
      50: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: q+1
      63: 1
      64: 1
      65: 1
      67: 1
      69: 1
      75: 1
      76: 1
      81: 1
      82: 1
      87: 1
      88: 1
      98: 1
      99: 1
     100: 1
     102: 1
     103: 1
     104: 1
     106: 1
     112: 1
     118: 1
     124: 1
     125: 1
     132: 1
     154: 1
     159: 1
     165: 1
     171: 1
     217: 1

218:   0: 1
       1: 1
       3: q+1
       4: 1
       5: 1
       6: q+1
       7: 1
       8: 1
      11: 1
      12: q^2+2q+1
      13: 1
      20: 1
      21: q+1
      22: 1
      23: 1
      24: 1
      29: q+1
      32: 1
      33: 1
      38: 1
      39: 1
      41: 1
      42: 1
      44: 1
      45: 1
      47: 1
      48: 1
      50: 1
      52: 1
      53: 1
      56: 1
      57: 1
      60: 1
      61: 1
      66: q+1
      70: 1
      75: 1
      76: 1
      81: 1
      82: 1
      87: 1
     100: 1
     104: 1
     107: 1
     113: 1
     119: 1
     124: 1
     125: 1
     154: 1
     160: 1
     166: 1
     172: 1
     218: 1

219:   0: 1
       1: 1
       2: 1
       4: 1
       5: 1
       7: 1
       8: 1
       9: 1
      10: 1
      11: 1
      13: 1
      14: q^2+2q+1
      15: 1
      20: 1
      22: 1
      23: 1
      24: 1
      26: 1
      27: 1
      28: 1
      30: 1
      34: 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
      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
      67: 1
      71: 1
      77: 1
      86: 1
      87: 1
      88: 1
      98: 1
      99: 1
     102: 1
     103: 1
     108: 1
     114: 1
     121: 1
     126: 1
     132: 1
     161: 1
     168: 1
     173: 1
     219: 1

220:   0: 1
       1: 1
       2: 1
       4: 1
       5: 1
       7: 1
       8: 1
       9: 1
      10: 1
      11: 1
      13: 1
      15: 1
      16: q^2+2q+1
      20: 1
      22: 1
      23: 1
      24: 1
      26: 1
      27: 1
      28: 1
      30: 1
      35: 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
      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
      67: 1
      72: 1
      80: 1
      83: 1
      87: 1
      88: 1
      98: 1
      99: 1
     102: 1
     103: 1
     109: 1
     115: 1
     120: 1
     127: 1
     132: 1
     162: 1
     167: 1
     174: 1
     220: 1

221:   0: 1
       1: 1
       2: q+1
       4: 1
       5: 1
       7: 1
       8: 1
       9: q+1
      10: q+1
      11: 1
      13: 1
      15: q+1
      17: 2q+1
      18: 2q+1
      20: 1
      22: 1
      23: 1
      24: 1
      25: 2q+1
      26: 1
      27: 1
      28: 1
      30: 1
      36: 1
      37: 1
      38: 1
      39: 1
      40: q+1
      41: 1
      42: 1
      43: q+1
      44: 1
      45: 1
      46: q+1
      47: 1
      48: 1
      49: q+1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: q+1
      63: 1
      64: 1
      65: 1
      67: 1
      73: 1
      78: 1
      79: 1
      84: 1
      85: 1
      87: 1
      88: 1
      98: 1
      99: 1
     101: 1
     102: 1
     103: 1
     105: 1
     110: 1
     116: 1
     122: 1
     128: 1
     129: 1
     132: 1
     155: 1
     163: 1
     169: 1
     175: 1
     221: 1

222:   0: 1
       1: 1
       4: 1
       5: 1
       7: 1
       8: 1
      11: 1
      13: 1
      17: q+1
      18: q+1
      19: q^2+2q+1
      20: 1
      22: 1
      23: 1
      24: 1
      25: q+1
      31: q+1
      36: 1
      37: 1
      38: 1
      39: 1
      41: 1
      42: 1
      44: 1
      45: 1
      47: 1
      48: 1
      51: 1
      52: 1
      53: 1
      56: 1
      57: 1
      60: 1
      61: 1
      68: q+1
      74: 1
      78: 1
      79: 1
      84: 1
      85: 1
      87: 1
     101: 1
     105: 1
     111: 1
     117: 1
     123: 1
     128: 1
     129: 1
     155: 1
     164: 1
     170: 1
     176: 1
     222: 1

223:   0: 1
       1: 1
       2: 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: 1
      12: q+1
      13: 1
      15: 1
      17: q+1
      18: q+1
      19: q+1
      20: 1
      21: q+1
      22: q+1
      23: q+1
      24: 1
      25: q+1
      26: 1
      27: q+1
      28: q+1
      29: q+1
      30: 1
      31: q+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: 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: q+1
      65: q+1
      66: q+1
      67: 1
      68: q+1
      69: 1
      70: 1
      73: 1
      74: 1
      75: 1
      76: 1
      78: 1
      79: 1
      81: 1
      82: 1
      84: 1
      85: 1
      87: 1
      88: 1
      89: 1
      90: 1
      95: 1
      96: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     107: 1
     110: 1
     111: 1
     112: 1
     113: 1
     116: 1
     117: 1
     118: 1
     119: 1
     122: 1
     123: 1
     131: 1
     132: 1
     133: 1
     134: 1
     136: 1
     137: 1
     142: 1
     143: 1
     148: 1
     149: 1
     159: 1
     160: 1
     163: 1
     164: 1
     165: 1
     166: 1
     169: 1
     170: 1
     177: 1
     183: 1
     184: 1
     190: 1
     191: 1
     196: 1
     197: 1
     223: 1

224:   0: q+1
       1: q+1
       2: q^2+2q+1
       3: q+1
       4: q+1
       5: q+1
       6: q+1
       7: q+1
       8: q+1
       9: q^2+2q+1
      10: q^2+2q+1
      11: q+1
      13: q+1
      14: q^2+2q+1
      15: q^2+2q+1
      16: q^2+2q+1
      17: 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
      30: q+1
      32: q+1
      33: q+1
      34: q^2+2q+1
      35: q^2+2q+1
      36: q+1
      37: q+1
      38: 1
      39: 1
      40: q+1
      41: 1
      42: 1
      43: q+1
      44: 1
      45: 1
      46: q+1
      47: 1
      48: 1
      49: q+1
      50: q+1
      51: q+1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: q+1
      63: q+1
      64: q+1
      65: q+1
      67: q+1
      69: q+1
      71: q+1
      72: q+1
      73: q+1
      75: 1
      76: 1
      77: q+1
      78: 1
      79: 1
      80: q+1
      81: 1
      82: 1
      83: q+1
      84: 1
      85: 1
      86: q+1
      87: 1
      88: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 1
      97: q+1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: q+1
     108: q+1
     109: q+1
     110: q+1
     112: 1
     114: 1
     115: 1
     116: 1
     118: 1
     120: 1
     121: 1
     122: 1
     130: 1
     131: 1
     132: 1
     133: 1
     135: 1
     138: 1
     139: 1
     140: 1
     141: 1
     146: 1
     147: 1
     150: 1
     151: 1
     159: 1
     161: 1
     162: 1
     163: 1
     165: 1
     167: 1
     168: 1
     169: 1
     178: 1
     179: 1
     183: 1
     185: 1
     194: 1
     195: 1
     198: 1
     199: 1
     224: 1

225:   0: q+1
       1: 1
       2: q+1
       3: q+1
       4: q+1
       5: q+1
       6: 1
       7: q^2+q+1
       8: q^2+q+1
       9: q+1
      10: q+1
      11: q+1
      12: 1
      13: 1
      14: q+1
      15: q+1
      16: q+1
      17: q+1
      18: 1
      19: 1
      20: 1
      21: 1
      22: q+1
      23: q+1
      24: 1
      25: 1
      26: q+1
      27: q+1
      28: q+1
      29: 1
      30: q+1
      31: 1
      32: q+1
      33: 1
      34: q+1
      35: q+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: 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: q+1
      65: q+1
      66: 1
      67: 1
      68: 1
      69: q+1
      70: 1
      71: q+1
      72: 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: 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
     103: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: q+1
     109: q+1
     110: 1
     111: 1
     112: 1
     113: 1
     114: 1
     115: 1
     116: 1
     117: 1
     118: 1
     119: 1
     120: 1
     121: 1
     122: 1
     123: 1
     130: 1
     131: 1
     132: 1
     133: 1
     134: 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
     151: 1
     177: 1
     178: 1
     179: 1
     186: 1
     187: 1
     188: 1
     189: 1
     225: 1

226:   0: 2q+1
       2: 2q+1
       3: q^2+q+1
       4: 2q+1
       5: 2q+1
       9: 2q+1
      10: 2q+1
      11: 2q+1
      14: q^2+q+1
      15: 2q+1
      16: q^2+q+1
      17: q^2+q+1
      26: 2q+1
      27: 2q+1
      28: 2q+1
      30: 2q+1
      32: q+1
      34: q+1
      35: q+1
      36: q+1
      38: 2q+1
      40: 2q+1
      41: 2q+1
      43: 2q+1
      44: q+1
      46: q+1
      47: q+1
      49: q+1
      54: 2q+1
      55: 2q+1
      58: q+1
      59: q+1
      60: q+1
      62: q+1
      69: q+1
      71: q+1
      72: q+1
      73: q+1
      75: q+1
      77: q+1
      78: q+1
      80: q+1
      81: 1
      83: 1
      84: 1
      86: 1
      88: q+1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      97: 1
     112: q+1
     114: q+1
     115: q+1
     116: q+1
     118: 1
     120: 1
     121: 1
     122: 1
     124: 1
     126: 1
     127: 1
     128: 1
     130: 1
     133: 1
     135: 1
     144: 1
     145: 1
     146: 1
     147: 1
     150: 1
     151: 1
     156: 1
     158: 1
     171: 1
     173: 1
     174: 1
     175: 1
     178: 1
     180: 1
     204: 1
     206: 1
     207: 1
     208: 1
     226: 1

227:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       5: q+1
       6: q+1
       7: q+1
       8: q+1
       9: q+1
      10: q+1
      11: q+1
      13: q+1
      14: q+1
      15: q+1
      16: q+1
      17: q+1
      18: q+1
      20: q+1
      21: q+1
      22: q+1
      23: q+1
      24: q+1
      25: q+1
      26: 1
      27: 1
      28: 1
      30: 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: 1
      49: 1
      50: q+1
      51: q+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: 1
      64: 1
      65: 1
      67: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: q+1
      76: q+1
      77: q+1
      78: q+1
      79: q+1
      80: q+1
      81: 1
      82: 1
      83: 1
      84: 1
      85: 1
      86: 1
      87: 1
      88: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: q+1
     101: q+1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: 1
     112: 1
     114: 1
     115: 1
     116: 1
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     138: 1
     139: 1
     140: 1
     141: 1
     144: 1
     145: 1
     146: 1
     147: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     159: 1
     161: 1
     162: 1
     163: 1
     179: 1
     180: 1
     182: 1
     192: 1
     193: 1
     194: 1
     195: 1
     227: 1

228:   0: 2q+1
       2: 2q+1
       3: q^2+q+1
       4: 2q+1
       5: 2q+1
       9: 2q+1
      10: 2q+1
      11: 2q+1
      14: q^2+q+1
      15: 2q+1
      16: q^2+q+1
      17: q^2+q+1
      26: 2q+1
      27: 2q+1
      28: 2q+1
      30: 2q+1
      32: q+1
      34: q+1
      35: q+1
      36: q+1
      38: q+1
      40: q+1
      41: q+1
      43: q+1
      44: 2q+1
      46: 2q+1
      47: 2q+1
      49: 2q+1
      54: q+1
      55: q+1
      58: 2q+1
      59: 2q+1
      60: q+1
      62: q+1
      69: q+1
      71: q+1
      72: q+1
      73: q+1
      75: 1
      77: 1
      78: 1
      80: 1
      81: q+1
      83: q+1
      84: q+1
      86: q+1
      88: q+1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      97: 1
     112: 1
     114: 1
     115: 1
     116: 1
     118: q+1
     120: q+1
     121: q+1
     122: q+1
     124: 1
     126: 1
     127: 1
     128: 1
     130: 1
     133: 1
     135: 1
     146: 1
     147: 1
     150: 1
     151: 1
     152: 1
     153: 1
     156: 1
     158: 1
     171: 1
     173: 1
     174: 1
     175: 1
     178: 1
     181: 1
     204: 1
     206: 1
     209: 1
     210: 1
     228: 1

229:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       5: q+1
       6: q+1
       7: q+1
       8: q+1
       9: q+1
      10: q+1
      11: q+1
      13: q+1
      14: q+1
      15: q+1
      16: q+1
      17: q+1
      18: q+1
      20: q+1
      21: q+1
      22: q+1
      23: q+1
      24: q+1
      25: q+1
      26: 1
      27: 1
      28: 1
      30: 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: q+1
      51: q+1
      52: 1
      53: 1
      54: 1
      55: 1
      56: q+1
      57: q+1
      58: 1
      59: 1
      60: 1
      61: 1
      62: 1
      63: 1
      64: 1
      65: 1
      67: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: 1
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: q+1
      82: q+1
      83: q+1
      84: q+1
      85: q+1
      86: q+1
      87: 1
      88: 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
     103: 1
     104: q+1
     105: q+1
     106: 1
     108: 1
     109: 1
     110: 1
     118: 1
     120: 1
     121: 1
     122: 1
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     138: 1
     139: 1
     140: 1
     141: 1
     150: 1
     151: 1
     152: 1
     153: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     165: 1
     167: 1
     168: 1
     169: 1
     179: 1
     181: 1
     182: 1
     198: 1
     199: 1
     200: 1
     201: 1
     229: 1

230:   0: 1
       1: q+1
       2: 1
       3: q+1
       4: 1
       5: 1
       6: 1
       7: q+1
       8: q+1
       9: 1
      10: 1
      11: 1
      12: 1
      13: q+1
      15: 1
      17: q+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
      36: 1
      37: 1
      38: 1
      39: q+1
      40: 1
      41: 1
      42: q+1
      43: 1
      44: 1
      45: q+1
      46: 1
      47: 1
      48: q+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: q+1
      62: 1
      63: 1
      64: 1
      65: 1
      66: 1
      67: 1
      68: 1
      69: 1
      70: 1
      73: 1
      74: 1
      75: 1
      76: 1
      78: 1
      79: 1
      81: 1
      82: 1
      84: 1
      85: 1
      87: 1
      88: 1
      89: 1
      90: 1
      95: 1
      96: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     112: 1
     113: 1
     116: 1
     117: 1
     118: 1
     119: 1
     122: 1
     123: 1
     124: 1
     125: 1
     128: 1
     129: 1
     131: 1
     132: 1
     133: 1
     134: 1
     142: 1
     143: 1
     148: 1
     149: 1
     154: 1
     155: 1
     156: 1
     157: 1
     171: 1
     172: 1
     175: 1
     176: 1
     177: 1
     182: 1
     202: 1
     203: 1
     204: 1
     205: 1
     230: 1

231:   0: 2q+1
       2: 2q+1
       3: q^2+q+1
       4: 2q+1
       5: 2q+1
       9: 2q+1
      10: 2q+1
      11: 2q+1
      14: q^2+q+1
      15: 2q+1
      16: q^2+q+1
      17: q^2+q+1
      26: q+1
      27: q+1
      28: q+1
      30: q+1
      32: q+1
      34: q+1
      35: q+1
      36: q+1
      38: 2q+1
      40: 2q+1
      41: 2q+1
      43: 2q+1
      44: 2q+1
      46: 2q+1
      47: 2q+1
      49: 2q+1
      54: q+1
      55: q+1
      58: q+1
      59: q+1
      60: 2q+1
      62: 2q+1
      69: 1
      71: 1
      72: 1
      73: 1
      75: q+1
      77: q+1
      78: q+1
      80: q+1
      81: q+1
      83: q+1
      84: q+1
      86: q+1
      88: q+1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      97: 1
     112: 1
     114: 1
     115: 1
     116: 1
     118: 1
     120: 1
     121: 1
     122: 1
     124: q+1
     126: q+1
     127: q+1
     128: q+1
     130: 1
     144: 1
     145: 1
     146: 1
     147: 1
     150: 1
     151: 1
     152: 1
     153: 1
     156: 1
     158: 1
     171: 1
     173: 1
     174: 1
     175: 1
     180: 1
     181: 1
     207: 1
     208: 1
     209: 1
     210: 1
     231: 1

232:   0: q^2+3q+1
       1: 3q+1
       2: q+1
       3: q^2+3q+1
       4: q+1
       5: q+1
       6: 3q+1
       7: q^2+2q+1
       8: q^2+2q+1
       9: 1
      10: 1
      11: 1
      12: q^2+2q+1
      13: q+1
      14: 1
      15: q+1
      16: 1
      17: 1
      18: q+1
      20: 2q+1
      21: 2q+1
      22: q+1
      23: q+1
      24: 1
      25: 1
      26: q+1
      27: 1
      28: 1
      29: 2q+1
      30: 1
      32: q^2+3q+1
      33: 3q+1
      34: 1
      35: 1
      36: 1
      37: q+1
      38: q+1
      39: 2q+1
      40: 1
      41: 1
      42: q+1
      43: 1
      44: q+1
      45: 2q+1
      46: 1
      47: 1
      48: q+1
      49: 1
      50: 2q+1
      51: 1
      52: q+1
      53: 1
      54: 1
      55: 1
      56: q+1
      57: 1
      58: 1
      59: 1
      60: 1
      61: q+1
      62: 1
      63: 1
      64: 1
      65: 1
      66: q+1
      67: 1
      69: q+1
      70: 2q+1
      71: 1
      72: 1
      73: 1
      75: q+1
      76: 2q+1
      77: 1
      78: 1
      79: q+1
      80: 1
      81: q+1
      82: 2q+1
      83: 1
      84: 1
      85: q+1
      86: 1
      87: 1
      88: 1
      89: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: q+1
      97: 1
      98: 1
      99: 1
     100: q+1
     101: 1
     102: 1
     103: 1
     104: q+1
     105: 1
     106: 1
     107: q+1
     108: 1
     109: 1
     110: 1
     112: 1
     113: q+1
     114: 1
     118: 1
     119: q+1
     120: 1
     124: 1
     125: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     136: 1
     138: 1
     139: 1
     140: 1
     141: 1
     142: 1
     146: 1
     148: 1
     150: 1
     154: 1
     155: 1
     156: 1
     157: 1
     171: 1
     172: 1
     179: 1
     182: 1
     186: 1
     188: 1
     202: 1
     211: 1
     212: 1
     232: 1

233:   0: 1
       1: q+1
       2: q+1
       3: 1
       4: q+1
       5: q+1
       6: q+1
       7: q^2+2q+1
       8: q^2+2q+1
       9: 1
      10: 1
      11: q^2+3q+1
      13: 3q+1
      14: 1
      15: q+1
      16: 1
      17: q^2+3q+1
      18: 3q+1
      19: q^2+2q+1
      20: 1
      21: 1
      22: q+1
      23: q+1
      24: 2q+1
      25: 2q+1
      26: 1
      27: 1
      28: 1
      30: q+1
      31: 2q+1
      32: 1
      33: q+1
      34: 1
      35: 1
      36: q^2+3q+1
      37: 3q+1
      38: 1
      39: q+1
      40: 1
      41: q+1
      42: 2q+1
      43: 1
      44: 1
      45: q+1
      46: 1
      47: q+1
      48: 2q+1
      49: 1
      50: 1
      51: 2q+1
      52: 1
      53: q+1
      54: 1
      55: 1
      56: 1
      57: q+1
      58: 1
      59: 1
      60: 1
      61: q+1
      62: 1
      63: 1
      64: 1
      65: 1
      67: 1
      68: q+1
      69: 1
      71: 1
      72: 1
      73: q+1
      74: 2q+1
      75: 1
      76: q+1
      77: 1
      78: q+1
      79: 2q+1
      80: 1
      81: 1
      82: q+1
      83: 1
      84: q+1
      85: 2q+1
      86: 1
      87: 1
      88: 1
      90: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: q+1
      97: 1
      98: 1
      99: 1
     100: 1
     101: q+1
     102: 1
     103: 1
     104: 1
     105: q+1
     106: 1
     108: 1
     109: 1
     110: 1
     111: q+1
     115: 1
     116: 1
     117: q+1
     121: 1
     122: 1
     123: q+1
     124: 1
     125: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     143: 1
     147: 1
     149: 1
     151: 1
     154: 1
     155: 1
     156: 1
     157: 1
     175: 1
     176: 1
     179: 1
     182: 1
     187: 1
     189: 1
     203: 1
     215: 1
     216: 1
     233: 1

234:   0: q+1
       2: q+1
       3: q+1
       4: 1
       5: 1
       9: 1
      10: 1
      11: q+1
      14: 1
      15: q+1
      16: 1
      17: q+1
      26: q+1
      27: 1
      28: 1
      30: q+1
      32: q+1
      34: 1
      35: 1
      36: q+1
      38: 1
      40: 1
      41: 1
      43: 1
      44: 1
      46: 1
      47: 1
      49: 1
      54: 1
      55: 1
      58: 1
      59: 1
      60: 1
      62: 1
      69: q+1
      71: 1
      72: 1
      73: q+1
      75: 1
      77: 1
      78: 1
      80: 1
      81: 1
      83: 1
      84: 1
      86: 1
      88: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      97: 1
     112: 1
     114: 1
     115: 1
     116: 1
     118: 1
     120: 1
     121: 1
     122: 1
     124: 1
     128: 1
     130: 1
     133: 1
     135: 1
     146: 1
     147: 1
     150: 1
     151: 1
     156: 1
     171: 1
     175: 1
     178: 1
     204: 1
     211: 1
     215: 1
     234: 1

235:   1: 1
       6: 1
       7: 1
       8: 1
      12: 1
      13: 1
      18: 1
      19: 1
      29: 1
      31: 1
      33: 1
      37: 1
      39: 1
      42: 1
      45: 1
      48: 1
      61: 1
      70: 1
      74: 1
      76: 1
      79: 1
      82: 1
      85: 1
      96: 1
     113: 1
     117: 1
     119: 1
     123: 1
     125: 1
     129: 1
     134: 1
     157: 1
     172: 1
     176: 1
     205: 1
     212: 1
     216: 1
     235: 1

236:   0: 1
       2: 1
       3: 1
       4: q+1
       5: q+1
       9: q+1
      10: q+1
      11: 1
      14: q+1
      15: 1
      16: q+1
      17: 1
      26: 1
      27: q+1
      28: q+1
      30: 1
      32: 1
      34: q+1
      35: q+1
      36: 1
      38: 1
      40: 1
      41: 1
      43: 1
      44: 1
      46: 1
      47: 1
      49: 1
      54: 1
      55: 1
      58: 1
      59: 1
      60: 1
      62: 1
      69: 1
      71: q+1
      72: q+1
      73: 1
      75: 1
      77: 1
      78: 1
      80: 1
      81: 1
      83: 1
      84: 1
      86: 1
      88: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      97: 1
     112: 1
     114: 1
     115: 1
     116: 1
     118: 1
     120: 1
     121: 1
     122: 1
     126: 1
     127: 1
     130: 1
     133: 1
     135: 1
     146: 1
     147: 1
     150: 1
     151: 1
     158: 1
     173: 1
     174: 1
     178: 1
     206: 1
     213: 1
     214: 1
     236: 1

237:   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^2+1
       9: q+1
      10: 1
      11: 1
      12: q+1
      13: q^2+1
      15: 1
      16: q+1
      20: 1
      21: q+1
      22: 1
      23: 1
      24: 1
      26: q+1
      27: q+1
      28: 1
      29: q+1
      30: 1
      32: q+1
      33: 1
      35: 1
      38: q+1
      39: 1
      40: q+1
      41: 1
      42: q^2+1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      48: 1
      49: 1
      50: 1
      52: 1
      53: 1
      54: q+1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: 1
      63: 1
      64: 1
      65: 1
      66: q+1
      67: 1
      69: q+1
      70: 1
      72: 1
      75: q+1
      76: 1
      80: 1
      81: 1
      82: 1
      83: 1
      87: 1
      88: 1
      89: 1
      91: 1
      98: 1
      99: 1
     100: 1
     102: 1
     103: 1
     104: 1
     106: 1
     107: 1
     109: 1
     112: q+1
     113: 1
     115: 1
     118: 1
     119: 1
     120: 1
     124: 1
     125: 1
     127: 1
     132: 1
     136: 1
     138: 1
     142: 1
     144: 1
     148: 1
     150: 1
     154: 1
     159: 1
     160: 1
     162: 1
     171: 1
     172: 1
     174: 1
     186: 1
     190: 1
     192: 1
     202: 1
     207: 1
     237: 1

238:   0: 1
       1: q^2+1
       2: 1
       4: 1
       5: q+1
       7: q^2+1
       8: 1
       9: 1
      10: q+1
      11: q+1
      13: 1
      14: q+1
      15: q+1
      17: q^2+2q+1
      18: q+1
      19: q+1
      20: 1
      22: 1
      23: 1
      24: 1
      25: q+1
      26: 1
      27: 1
      28: q+1
      30: q+1
      31: q+1
      34: 1
      36: q+1
      37: 1
      38: 1
      39: q^2+1
      40: 1
      41: q+1
      42: 1
      43: q+1
      44: 1
      45: 1
      46: 1
      47: 1
      48: 1
      49: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: q+1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: 1
      63: 1
      64: 1
      65: 1
      67: 1
      68: q+1
      71: 1
      73: q+1
      74: 1
      77: 1
      78: q+1
      79: 1
      84: 1
      85: 1
      86: 1
      87: 1
      88: 1
      90: 1
      92: 1
      98: 1
      99: 1
     101: 1
     102: 1
     103: 1
     105: 1
     108: 1
     110: 1
     111: 1
     114: 1
     116: q+1
     117: 1
     121: 1
     122: 1
     123: 1
     126: 1
     128: 1
     129: 1
     132: 1
     137: 1
     139: 1
     143: 1
     145: 1
     149: 1
     151: 1
     155: 1
     161: 1
     163: 1
     164: 1
     173: 1
     175: 1
     176: 1
     187: 1
     191: 1
     193: 1
     203: 1
     208: 1
     238: 1

239:   0: 1
       1: 1
       2: 1
       3: 1
       4: 1
       6: 1
       7: 1
       9: 1
      12: 1
      14: 1
      20: 1
      21: 1
      22: 1
      26: 1
      27: 1
      29: 1
      32: 1
      33: 1
      34: 1
      38: 1
      39: 1
      40: 1
      50: 1
      52: 1
      54: 1
      63: 1
      64: 1
      66: 1
      69: 1
      70: 1
      71: 1
      75: 1
      76: 1
      77: 1
      89: 1
      93: 1
      98: 1
     100: 1
     106: 1
     107: 1
     108: 1
     112: 1
     113: 1
     114: 1
     136: 1
     140: 1
     142: 1
     146: 1
     159: 1
     160: 1
     161: 1
     188: 1
     190: 1
     194: 1
     239: 1

240:   5: 1
       8: 1
      10: 1
      11: 1
      13: 1
      15: 1
      16: 1
      17: 1
      18: 1
      19: 1
      23: 1
      24: 1
      25: 1
      28: 1
      30: 1
      31: 1
      35: 1
      36: 1
      37: 1
      41: 1
      42: 1
      43: 1
      51: 1
      53: 1
      55: 1
      65: 1
      67: 1
      68: 1
      72: 1
      73: 1
      74: 1
      78: 1
      79: 1
      80: 1
      90: 1
      94: 1
      99: 1
     101: 1
     109: 1
     110: 1
     111: 1
     115: 1
     116: 1
     117: 1
     137: 1
     141: 1
     143: 1
     147: 1
     162: 1
     163: 1
     164: 1
     189: 1
     191: 1
     195: 1
     240: 1

241:   0: q+1
       2: 1
       3: q+1
       4: q+1
       5: 1
       9: 1
      10: q+1
      11: 1
      14: 1
      15: q+1
      16: q+1
      17: 1
      26: 1
      27: 1
      28: 1
      30: 1
      32: q+1
      34: 1
      35: q+1
      36: 1
      38: q+1
      40: 1
      41: 1
      43: q+1
      44: 1
      46: 1
      47: 1
      49: 1
      54: 1
      55: 1
      58: 1
      59: 1
      60: 1
      62: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: q+1
      77: 1
      78: 1
      80: q+1
      81: 1
      83: 1
      84: 1
      86: 1
      88: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      97: 1
     112: 1
     114: 1
     115: 1
     116: 1
     118: 1
     120: 1
     124: 1
     126: 1
     127: 1
     128: 1
     130: 1
     144: 1
     145: 1
     146: 1
     147: 1
     150: 1
     156: 1
     158: 1
     171: 1
     174: 1
     180: 1
     207: 1
     211: 1
     214: 1
     241: 1

242:   0: 1
       2: q+1
       3: 1
       4: 1
       5: q+1
       9: q+1
      10: 1
      11: q+1
      14: q+1
      15: 1
      16: 1
      17: q+1
      26: 1
      27: 1
      28: 1
      30: 1
      32: 1
      34: q+1
      35: 1
      36: q+1
      38: 1
      40: q+1
      41: q+1
      43: 1
      44: 1
      46: 1
      47: 1
      49: 1
      54: 1
      55: 1
      58: 1
      59: 1
      60: 1
      62: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: 1
      77: q+1
      78: q+1
      80: 1
      81: 1
      83: 1
      84: 1
      86: 1
      88: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      97: 1
     112: 1
     114: 1
     115: 1
     116: 1
     121: 1
     122: 1
     124: 1
     126: 1
     127: 1
     128: 1
     130: 1
     144: 1
     145: 1
     146: 1
     147: 1
     151: 1
     156: 1
     158: 1
     173: 1
     175: 1
     180: 1
     208: 1
     213: 1
     215: 1
     242: 1

243:   0: 1
       1: 1
       2: 1
       3: 1
       5: 1
       6: 1
       8: 1
      10: 1
      12: 1
      16: 1
      20: 1
      21: 1
      23: 1
      26: 1
      28: 1
      29: 1
      32: 1
      33: 1
      35: 1
      44: 1
      45: 1
      46: 1
      50: 1
      56: 1
      58: 1
      63: 1
      65: 1
      66: 1
      69: 1
      70: 1
      72: 1
      81: 1
      82: 1
      83: 1
      89: 1
      91: 1
     102: 1
     104: 1
     106: 1
     107: 1
     109: 1
     118: 1
     119: 1
     120: 1
     136: 1
     138: 1
     148: 1
     150: 1
     165: 1
     166: 1
     167: 1
     186: 1
     196: 1
     198: 1
     243: 1

244:   4: 1
       7: 1
       9: 1
      11: 1
      13: 1
      14: 1
      15: 1
      17: 1
      18: 1
      19: 1
      22: 1
      24: 1
      25: 1
      27: 1
      30: 1
      31: 1
      34: 1
      36: 1
      37: 1
      47: 1
      48: 1
      49: 1
      51: 1
      57: 1
      59: 1
      64: 1
      67: 1
      68: 1
      71: 1
      73: 1
      74: 1
      84: 1
      85: 1
      86: 1
      90: 1
      92: 1
     103: 1
     105: 1
     108: 1
     110: 1
     111: 1
     121: 1
     122: 1
     123: 1
     137: 1
     139: 1
     149: 1
     151: 1
     168: 1
     169: 1
     170: 1
     187: 1
     197: 1
     199: 1
     244: 1

245:   0: q+1
       1: 1
       2: q+1
       3: q^2+2q+1
       4: 1
       5: q+1
       6: q+1
       7: q^2+1
       8: 1
       9: 1
      10: q+1
      11: 1
      12: q+1
      13: q^2+1
      14: q+1
      15: 1
      20: 1
      21: q+1
      22: 1
      23: 1
      24: 1
      26: q+1
      27: 1
      28: q+1
      29: q+1
      30: 1
      32: q+1
      33: 1
      34: 1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: q+1
      45: 1
      46: q+1
      47: 1
      48: q^2+1
      49: 1
      50: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: q+1
      59: 1
      60: 1
      61: 1
      62: 1
      63: 1
      64: 1
      65: 1
      66: q+1
      67: 1
      69: q+1
      70: 1
      71: 1
      75: 1
      76: 1
      77: 1
      81: q+1
      82: 1
      86: 1
      87: 1
      88: 1
      89: 1
      93: 1
      98: 1
      99: 1
     100: 1
     102: 1
     103: 1
     104: 1
     106: 1
     107: 1
     108: 1
     112: 1
     113: 1
     114: 1
     118: q+1
     119: 1
     121: 1
     124: 1
     125: 1
     126: 1
     132: 1
     136: 1
     140: 1
     142: 1
     146: 1
     148: 1
     152: 1
     154: 1
     165: 1
     166: 1
     168: 1
     171: 1
     172: 1
     173: 1
     188: 1
     196: 1
     200: 1
     202: 1
     209: 1
     245: 1

246:   0: 1
       1: q^2+1
       2: 1
       4: q+1
       5: 1
       7: 1
       8: q^2+1
       9: q+1
      10: 1
      11: q+1
      13: 1
      15: q+1
      16: q+1
      17: q^2+2q+1
      18: q+1
      19: q+1
      20: 1
      22: 1
      23: 1
      24: 1
      25: q+1
      26: 1
      27: q+1
      28: 1
      30: q+1
      31: q+1
      35: 1
      36: q+1
      37: 1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      45: q^2+1
      46: 1
      47: q+1
      48: 1
      49: q+1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: q+1
      60: 1
      61: 1
      62: 1
      63: 1
      64: 1
      65: 1
      67: 1
      68: q+1
      72: 1
      73: q+1
      74: 1
      78: 1
      79: 1
      80: 1
      83: 1
      84: q+1
      85: 1
      87: 1
      88: 1
      90: 1
      94: 1
      98: 1
      99: 1
     101: 1
     102: 1
     103: 1
     105: 1
     109: 1
     110: 1
     111: 1
     115: 1
     116: 1
     117: 1
     120: 1
     122: q+1
     123: 1
     127: 1
     128: 1
     129: 1
     132: 1
     137: 1
     141: 1
     143: 1
     147: 1
     149: 1
     153: 1
     155: 1
     167: 1
     169: 1
     170: 1
     174: 1
     175: 1
     176: 1
     189: 1
     197: 1
     201: 1
     203: 1
     210: 1
     246: 1

247:   0: q+1
       2: 1
       3: q+1
       4: 1
       5: q+1
       9: q+1
      10: 1
      11: 1
      14: q+1
      15: q+1
      16: 1
      17: 1
      26: 1
      27: 1
      28: 1
      30: 1
      32: q+1
      34: q+1
      35: 1
      36: 1
      38: 1
      40: 1
      41: 1
      43: 1
      44: q+1
      46: 1
      47: 1
      49: q+1
      54: 1
      55: 1
      58: 1
      59: 1
      60: 1
      62: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: 1
      77: 1
      78: 1
      80: 1
      81: q+1
      83: 1
      84: 1
      86: q+1
      88: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      97: 1
     112: 1
     114: 1
     118: 1
     120: 1
     121: 1
     122: 1
     124: 1
     126: 1
     127: 1
     128: 1
     130: 1
     146: 1
     150: 1
     151: 1
     152: 1
     153: 1
     156: 1
     158: 1
     171: 1
     173: 1
     181: 1
     209: 1
     211: 1
     213: 1
     247: 1

248:   0: 1
       2: q+1
       3: 1
       4: q+1
       5: 1
       9: 1
      10: q+1
      11: q+1
      14: 1
      15: 1
      16: q+1
      17: q+1
      26: 1
      27: 1
      28: 1
      30: 1
      32: 1
      34: 1
      35: q+1
      36: q+1
      38: 1
      40: 1
      41: 1
      43: 1
      44: 1
      46: q+1
      47: q+1
      49: 1
      54: 1
      55: 1
      58: 1
      59: 1
      60: 1
      62: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: 1
      77: 1
      78: 1
      80: 1
      81: 1
      83: q+1
      84: q+1
      86: 1
      88: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      97: 1
     115: 1
     116: 1
     118: 1
     120: 1
     121: 1
     122: 1
     124: 1
     126: 1
     127: 1
     128: 1
     130: 1
     147: 1
     150: 1
     151: 1
     152: 1
     153: 1
     156: 1
     158: 1
     174: 1
     175: 1
     181: 1
     210: 1
     214: 1
     215: 1
     248: 1

249:   0: 1
       1: 1
       2: q+1
       3: q+1
       4: 1
       5: 1
       6: q+1
       7: 1
       8: 1
       9: q+1
      10: q+1
      11: 1
      13: 1
      15: q+1
      17: q+1
      18: q+1
      20: 1
      21: q+1
      22: 1
      23: 1
      24: 1
      25: q+1
      26: 1
      27: 1
      28: 1
      30: 1
      32: 1
      33: 1
      36: 1
      37: 1
      38: 1
      39: 1
      40: q+1
      41: 1
      42: 1
      43: q+1
      44: 1
      45: 1
      46: q+1
      47: 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: 1
      61: 1
      62: q+1
      63: 1
      64: 1
      65: 1
      67: 1
      69: 1
      73: 1
      75: 1
      76: 1
      78: 1
      79: 1
      81: 1
      82: 1
      84: 1
      85: 1
      87: 1
      88: 1
      95: 1
      96: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     110: 1
     112: 1
     116: 1
     118: 1
     122: 1
     124: 1
     125: 1
     128: 1
     129: 1
     131: 1
     132: 1
     133: 1
     154: 1
     155: 1
     156: 1
     157: 1
     159: 1
     163: 1
     165: 1
     169: 1
     171: 1
     175: 1
     182: 1
     183: 1
     204: 1
     217: 1
     221: 1
     249: 1

250:   0: q+1
       1: q+1
       3: 1
       4: q+1
       5: q+1
       6: 1
       7: q+1
       8: q+1
      11: q+1
      12: q+1
      13: q+1
      17: 1
      18: 1
      19: q+1
      20: q+1
      21: 1
      22: q+1
      23: q+1
      24: q+1
      25: 1
      29: 1
      31: 1
      32: 1
      33: 1
      36: 1
      37: 1
      38: q+1
      39: q+1
      41: q+1
      42: q+1
      44: q+1
      45: q+1
      47: q+1
      48: q+1
      50: 1
      51: 1
      52: q+1
      53: q+1
      56: q+1
      57: q+1
      60: q+1
      61: q+1
      66: 1
      68: 1
      70: 1
      74: 1
      75: 1
      76: 1
      78: 1
      79: 1
      81: 1
      82: 1
      84: 1
      85: 1
      87: q+1
      95: 1
      96: 1
     100: 1
     101: 1
     104: 1
     105: 1
     107: 1
     111: 1
     113: 1
     117: 1
     119: 1
     123: 1
     124: 1
     125: 1
     128: 1
     129: 1
     131: 1
     134: 1
     154: 1
     155: 1
     156: 1
     157: 1
     160: 1
     164: 1
     166: 1
     170: 1
     172: 1
     176: 1
     182: 1
     184: 1
     205: 1
     218: 1
     222: 1
     250: 1

251:   0: 1
       1: 1
       2: 1
       4: 1
       5: 1
       7: 1
       8: 1
       9: 1
      10: 1
      11: 1
      13: 1
      14: q^2+q+1
      15: 1
      16: q^2+q+1
      20: 1
      22: 1
      23: 1
      24: 1
      26: 1
      27: 1
      28: 1
      30: 1
      34: 1
      35: 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
      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
      67: 1
      71: 1
      72: 1
      77: 1
      80: 1
      83: 1
      86: 1
      87: 1
      88: 1
      97: 1
      98: 1
      99: 1
     102: 1
     103: 1
     108: 1
     109: 1
     114: 1
     115: 1
     120: 1
     121: 1
     126: 1
     127: 1
     132: 1
     135: 1
     158: 1
     161: 1
     162: 1
     167: 1
     168: 1
     173: 1
     174: 1
     185: 1
     206: 1
     219: 1
     220: 1
     251: 1

252:   0: 1
       1: 1
       2: 1
       3: 2q+1
       4: 1
       5: 1
       6: 2q+1
       7: 1
       8: 1
       9: 1
      10: 1
      11: 1
      12: 2q+1
      13: 1
      15: 1
      20: 1
      21: 2q+1
      22: 1
      23: 1
      24: 1
      26: 1
      27: 1
      28: 1
      29: 2q+1
      30: 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
      48: 1
      49: 1
      50: 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: 2q+1
      67: 1
      69: 1
      70: 1
      75: 1
      76: 1
      81: 1
      82: 1
      87: 1
      88: 1
      89: 1
      98: 1
      99: 1
     100: 1
     102: 1
     103: 1
     104: 1
     106: 1
     107: 1
     112: 1
     113: 1
     118: 1
     119: 1
     124: 1
     125: 1
     132: 1
     136: 1
     142: 1
     148: 1
     154: 1
     159: 1
     160: 1
     165: 1
     166: 1
     171: 1
     172: 1
     190: 1
     196: 1
     202: 1
     217: 1
     218: 1
     252: 1

253:   0: 1
       1: 1
       2: 1
       4: 1
       5: 1
       7: 1
       8: 1
       9: 1
      10: 1
      11: 1
      13: 1
      15: 1
      17: 2q+1
      18: 2q+1
      19: 2q+1
      20: 1
      22: 1
      23: 1
      24: 1
      25: 2q+1
      26: 1
      27: 1
      28: 1
      30: 1
      31: 2q+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
      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
      67: 1
      68: 2q+1
      73: 1
      74: 1
      78: 1
      79: 1
      84: 1
      85: 1
      87: 1
      88: 1
      90: 1
      98: 1
      99: 1
     101: 1
     102: 1
     103: 1
     105: 1
     110: 1
     111: 1
     116: 1
     117: 1
     122: 1
     123: 1
     128: 1
     129: 1
     132: 1
     137: 1
     143: 1
     149: 1
     155: 1
     163: 1
     164: 1
     169: 1
     170: 1
     175: 1
     176: 1
     191: 1
     197: 1
     203: 1
     221: 1
     222: 1
     253: 1

254:   0: 1
       1: 1
       2: q+1
       3: q+1
       4: 1
       5: 1
       6: q+1
       7: 1
       8: 1
       9: q+1
      10: q+1
      11: 1
      13: 1
      15: q+1
      16: q^2+2q+1
      20: 1
      21: q+1
      22: 1
      23: 1
      24: 1
      26: 1
      27: 1
      28: 1
      30: 1
      32: 1
      33: 1
      35: q+1
      38: 1
      39: 1
      40: q+1
      41: 1
      42: 1
      43: q+1
      44: 1
      45: 1
      46: q+1
      47: 1
      48: 1
      49: q+1
      50: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: q+1
      63: 1
      64: 1
      65: 1
      67: 1
      69: 1
      72: 1
      75: 1
      76: 1
      80: q+1
      81: 1
      82: 1
      83: q+1
      87: 1
      88: 1
      91: 1
      98: 1
      99: 1
     100: 1
     102: 1
     103: 1
     104: 1
     106: 1
     109: 1
     112: 1
     115: 1
     118: 1
     120: 1
     124: 1
     125: 1
     127: q+1
     132: 1
     138: 1
     144: 1
     150: 1
     154: 1
     159: 1
     162: 1
     165: 1
     167: 1
     171: 1
     174: 1
     192: 1
     198: 1
     207: 1
     217: 1
     220: 1
     254: 1

255:   0: 1
       1: 1
       2: q+1
       4: 1
       5: 1
       7: 1
       8: 1
       9: q+1
      10: q+1
      11: 1
      13: 1
      14: q^2+2q+1
      15: q+1
      17: q+1
      18: q+1
      20: 1
      22: 1
      23: 1
      24: 1
      25: q+1
      26: 1
      27: 1
      28: 1
      30: 1
      34: q+1
      36: 1
      37: 1
      38: 1
      39: 1
      40: q+1
      41: 1
      42: 1
      43: q+1
      44: 1
      45: 1
      46: q+1
      47: 1
      48: 1
      49: q+1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: q+1
      63: 1
      64: 1
      65: 1
      67: 1
      71: 1
      73: 1
      77: q+1
      78: 1
      79: 1
      84: 1
      85: 1
      86: q+1
      87: 1
      88: 1
      92: 1
      98: 1
      99: 1
     101: 1
     102: 1
     103: 1
     105: 1
     108: 1
     110: 1
     114: 1
     116: 1
     121: 1
     122: 1
     126: q+1
     128: 1
     129: 1
     132: 1
     139: 1
     145: 1
     151: 1
     155: 1
     161: 1
     163: 1
     168: 1
     169: 1
     173: 1
     175: 1
     193: 1
     199: 1
     208: 1
     219: 1
     221: 1
     255: 1

256:   0: 1
       1: 1
       2: q+1
       3: q+1
       4: 1
       5: 1
       6: q+1
       7: 1
       8: 1
       9: q+1
      10: q+1
      11: 1
      13: 1
      14: q^2+2q+1
      15: q+1
      20: 1
      21: q+1
      22: 1
      23: 1
      24: 1
      26: 1
      27: 1
      28: 1
      30: 1
      32: 1
      33: 1
      34: q+1
      38: 1
      39: 1
      40: q+1
      41: 1
      42: 1
      43: q+1
      44: 1
      45: 1
      46: q+1
      47: 1
      48: 1
      49: q+1
      50: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: q+1
      63: 1
      64: 1
      65: 1
      67: 1
      69: 1
      71: 1
      75: 1
      76: 1
      77: q+1
      81: 1
      82: 1
      86: q+1
      87: 1
      88: 1
      93: 1
      98: 1
      99: 1
     100: 1
     102: 1
     103: 1
     104: 1
     106: 1
     108: 1
     112: 1
     114: 1
     118: 1
     121: 1
     124: 1
     125: 1
     126: q+1
     132: 1
     140: 1
     146: 1
     152: 1
     154: 1
     159: 1
     161: 1
     165: 1
     168: 1
     171: 1
     173: 1
     194: 1
     200: 1
     209: 1
     217: 1
     219: 1
     256: 1

257:   0: 1
       1: 1
       2: q+1
       4: 1
       5: 1
       7: 1
       8: 1
       9: q+1
      10: q+1
      11: 1
      13: 1
      15: q+1
      16: q^2+2q+1
      17: q+1
      18: q+1
      20: 1
      22: 1
      23: 1
      24: 1
      25: q+1
      26: 1
      27: 1
      28: 1
      30: 1
      35: q+1
      36: 1
      37: 1
      38: 1
      39: 1
      40: q+1
      41: 1
      42: 1
      43: q+1
      44: 1
      45: 1
      46: q+1
      47: 1
      48: 1
      49: q+1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: q+1
      63: 1
      64: 1
      65: 1
      67: 1
      72: 1
      73: 1
      78: 1
      79: 1
      80: q+1
      83: q+1
      84: 1
      85: 1
      87: 1
      88: 1
      94: 1
      98: 1
      99: 1
     101: 1
     102: 1
     103: 1
     105: 1
     109: 1
     110: 1
     115: 1
     116: 1
     120: 1
     122: 1
     127: q+1
     128: 1
     129: 1
     132: 1
     141: 1
     147: 1
     153: 1
     155: 1
     162: 1
     163: 1
     167: 1
     169: 1
     174: 1
     175: 1
     195: 1
     201: 1
     210: 1
     220: 1
     221: 1
     257: 1

258:   0: 3q+1
       1: 3q+1
       2: q^2+2q+1
       3: 3q+1
       4: q+1
       5: q+1
       6: 3q+1
       7: q+1
       8: q+1
       9: q+1
      10: q+1
      11: 1
      13: 1
      14: q+1
      15: q^2+2q+1
      16: q+1
      17: 1
      18: 1
      20: 3q+1
      21: 3q+1
      22: q+1
      23: q+1
      24: 1
      25: 1
      26: q+1
      27: 1
      28: 1
      30: 1
      32: 3q+1
      33: 3q+1
      34: q+1
      35: q+1
      36: 1
      37: 1
      38: q+1
      39: q+1
      40: q+1
      41: 1
      42: 1
      43: q+1
      44: q+1
      45: q+1
      46: q+1
      47: 1
      48: 1
      49: q+1
      50: 3q+1
      51: 1
      52: q+1
      53: 1
      54: 1
      55: 1
      56: q+1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: q+1
      63: q+1
      64: 1
      65: 1
      67: 1
      69: q+1
      71: 1
      72: 1
      73: 1
      75: q+1
      76: q+1
      77: q+1
      78: 1
      79: 1
      80: q+1
      81: q+1
      82: q+1
      83: q+1
      84: 1
      85: 1
      86: q+1
      87: 1
      88: 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
     103: 1
     104: q+1
     105: 1
     106: q+1
     108: 1
     109: 1
     110: 1
     112: 1
     114: 1
     118: 1
     120: 1
     124: 1
     125: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     138: 1
     139: 1
     140: 1
     141: 1
     146: 1
     150: 1
     154: 1
     155: 1
     156: 1
     157: 1
     159: 1
     161: 1
     165: 1
     167: 1
     171: 1
     179: 1
     182: 1
     194: 1
     198: 1
     211: 1
     217: 1
     258: 1

259:   0: 1
       1: 1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
       8: 1
      11: 1
      12: q^2+q+1
      13: 1
      17: 1
      18: 1
      20: 1
      21: 1
      22: 1
      23: 1
      24: 1
      25: 1
      29: 1
      32: 1
      33: 1
      36: 1
      37: 1
      38: 1
      39: 1
      41: 1
      42: 1
      44: 1
      45: 1
      47: 1
      48: 1
      50: 1
      51: 1
      52: 1
      53: 1
      56: 1
      57: 1
      60: 1
      61: 1
      66: 1
      70: 1
      75: 1
      76: 1
      78: 1
      79: 1
      81: 1
      82: 1
      84: 1
      85: 1
      87: 1
      95: 1
      96: 1
     100: 1
     101: 1
     104: 1
     105: 1
     107: 1
     113: 1
     119: 1
     124: 1
     125: 1
     128: 1
     129: 1
     131: 1
     154: 1
     155: 1
     156: 1
     157: 1
     160: 1
     166: 1
     172: 1
     182: 1
     212: 1
     218: 1
     259: 1

260:   0: 1
       1: 1
       2: q+1
       3: 1
       4: q+1
       5: q+1
       6: 1
       7: q+1
       8: q+1
       9: q^2+3q+1
      10: 1
      11: 1
      13: 1
      14: q^2+3q+1
      15: q+1
      16: 1
      17: 1
      18: 1
      20: 1
      21: 1
      22: q+1
      23: q+1
      24: 1
      25: 1
      26: 1
      27: q+1
      28: 1
      30: 1
      32: 1
      33: 1
      34: q^2+3q+1
      35: 1
      36: 1
      37: 1
      38: 1
      39: 1
      40: q+1
      41: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 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: 1
      61: 1
      62: 1
      63: 1
      64: q+1
      65: 1
      67: 1
      69: 1
      71: q+1
      72: 1
      73: 1
      75: 1
      76: 1
      77: q+1
      78: 1
      79: 1
      80: 1
      81: 1
      82: 1
      83: 1
      84: 1
      85: 1
      86: q+1
      87: 1
      88: 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
     103: 1
     104: 1
     105: 1
     106: 1
     108: q+1
     109: 1
     110: 1
     112: 1
     114: 1
     121: 1
     122: 1
     126: 1
     127: 1
     130: 1
     131: 1
     132: 1
     138: 1
     139: 1
     140: 1
     141: 1
     146: 1
     151: 1
     158: 1
     159: 1
     161: 1
     168: 1
     169: 1
     173: 1
     179: 1
     194: 1
     199: 1
     213: 1
     219: 1
     260: 1

261:   0: 1
       1: 1
       2: q+1
       3: 1
       4: q+1
       5: q+1
       6: 1
       7: q+1
       8: q+1
       9: 1
      10: q^2+3q+1
      11: 1
      13: 1
      14: 1
      15: q+1
      16: q^2+3q+1
      17: 1
      18: 1
      20: 1
      21: 1
      22: q+1
      23: q+1
      24: 1
      25: 1
      26: 1
      27: 1
      28: q+1
      30: 1
      32: 1
      33: 1
      34: 1
      35: q^2+3q+1
      36: 1
      37: 1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: q+1
      44: 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: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: 1
      63: 1
      64: 1
      65: q+1
      67: 1
      69: 1
      71: 1
      72: q+1
      73: 1
      75: 1
      76: 1
      77: 1
      78: 1
      79: 1
      80: q+1
      81: 1
      82: 1
      83: q+1
      84: 1
      85: 1
      86: 1
      87: 1
      88: 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
     103: 1
     104: 1
     105: 1
     106: 1
     108: 1
     109: q+1
     110: 1
     115: 1
     116: 1
     118: 1
     120: 1
     126: 1
     127: 1
     130: 1
     131: 1
     132: 1
     138: 1
     139: 1
     140: 1
     141: 1
     147: 1
     150: 1
     158: 1
     162: 1
     163: 1
     165: 1
     167: 1
     174: 1
     179: 1
     195: 1
     198: 1
     214: 1
     220: 1
     261: 1

262:   0: 1
       1: 1
       2: q^2+2q+1
       3: 1
       4: q+1
       5: q+1
       6: 1
       7: q+1
       8: q+1
       9: q+1
      10: q+1
      11: 3q+1
      13: 3q+1
      14: q+1
      15: q^2+2q+1
      16: q+1
      17: 3q+1
      18: 3q+1
      20: 1
      21: 1
      22: q+1
      23: q+1
      24: 3q+1
      25: 3q+1
      26: 1
      27: 1
      28: 1
      30: q+1
      32: 1
      33: 1
      34: q+1
      35: q+1
      36: 3q+1
      37: 3q+1
      38: 1
      39: 1
      40: q+1
      41: q+1
      42: q+1
      43: q+1
      44: 1
      45: 1
      46: q+1
      47: q+1
      48: q+1
      49: q+1
      50: 1
      51: 3q+1
      52: 1
      53: q+1
      54: 1
      55: 1
      56: 1
      57: q+1
      58: 1
      59: 1
      60: 1
      61: 1
      62: q+1
      63: 1
      64: 1
      65: 1
      67: q+1
      69: 1
      71: 1
      72: 1
      73: q+1
      75: 1
      76: 1
      77: q+1
      78: q+1
      79: q+1
      80: q+1
      81: 1
      82: 1
      83: q+1
      84: q+1
      85: q+1
      86: q+1
      87: 1
      88: 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
     103: 1
     104: 1
     105: q+1
     106: 1
     108: 1
     109: 1
     110: q+1
     115: 1
     116: 1
     121: 1
     122: 1
     124: 1
     125: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     138: 1
     139: 1
     140: 1
     141: 1
     147: 1
     151: 1
     154: 1
     155: 1
     156: 1
     157: 1
     162: 1
     163: 1
     168: 1
     169: 1
     175: 1
     179: 1
     182: 1
     195: 1
     199: 1
     215: 1
     221: 1
     262: 1

263:   0: 1
       1: 1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
       8: 1
      11: 1
      13: 1
      17: 1
      18: 1
      19: q^2+q+1
      20: 1
      21: 1
      22: 1
      23: 1
      24: 1
      25: 1
      31: 1
      32: 1
      33: 1
      36: 1
      37: 1
      38: 1
      39: 1
      41: 1
      42: 1
      44: 1
      45: 1
      47: 1
      48: 1
      50: 1
      51: 1
      52: 1
      53: 1
      56: 1
      57: 1
      60: 1
      61: 1
      68: 1
      74: 1
      75: 1
      76: 1
      78: 1
      79: 1
      81: 1
      82: 1
      84: 1
      85: 1
      87: 1
      95: 1
      96: 1
     100: 1
     101: 1
     104: 1
     105: 1
     111: 1
     117: 1
     123: 1
     124: 1
     125: 1
     128: 1
     129: 1
     131: 1
     154: 1
     155: 1
     156: 1
     157: 1
     164: 1
     170: 1
     176: 1
     182: 1
     216: 1
     222: 1
     263: 1

264:   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: 1
      45: 1
      46: 1
      47: 1
      48: 1
      49: 1
      50: q+1
      51: q+1
      52: 1
      53: 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+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: 1
      86: 1
      87: 1
      88: 1
      89: q+1
      90: q+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
     103: 1
     104: 1
     105: 1
     106: q+1
     107: q+1
     108: q+1
     109: q+1
     110: q+1
     111: q+1
     112: 1
     113: 1
     114: 1
     115: 1
     116: 1
     117: 1
     118: 1
     119: 1
     120: 1
     121: 1
     122: 1
     123: 1
     130: 1
     131: 1
     132: 1
     133: 1
     134: 1
     135: 1
     136: q+1
     137: q+1
     138: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     151: 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
     177: 1
     178: 1
     179: 1
     183: 1
     184: 1
     185: 1
     186: 1
     187: 1
     188: 1
     189: 1
     190: 1
     191: 1
     194: 1
     195: 1
     196: 1
     197: 1
     198: 1
     199: 1
     223: 1
     224: 1
     225: 1
     239: 1
     240: 1
     243: 1
     244: 1
     264: 1

265:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: 1
       5: 1
       6: q+1
       7: q^2+q+1
       8: q^2+q+1
       9: 1
      10: 1
      11: q+1
      12: q+1
      13: q+1
      14: 1
      15: q+1
      16: 1
      17: q+1
      18: q+1
      19: q+1
      20: 1
      21: 1
      22: 1
      23: 1
      24: 1
      25: 1
      26: q+1
      27: 1
      28: 1
      29: q+1
      30: q+1
      31: q+1
      32: q+1
      33: q+1
      34: 1
      35: 1
      36: q+1
      37: q+1
      38: 1
      39: q+1
      40: 1
      41: 1
      42: q+1
      43: 1
      44: 1
      45: q+1
      46: 1
      47: 1
      48: q+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: q+1
      62: 1
      63: 1
      64: 1
      65: 1
      66: 1
      67: 1
      68: 1
      69: q+1
      70: q+1
      71: 1
      72: 1
      73: q+1
      74: q+1
      75: 1
      76: q+1
      77: 1
      78: 1
      79: q+1
      80: 1
      81: 1
      82: q+1
      83: 1
      84: 1
      85: q+1
      86: 1
      87: 1
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: q+1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: 1
     109: 1
     110: 1
     111: 1
     112: 1
     113: q+1
     114: 1
     115: 1
     116: 1
     117: q+1
     118: 1
     119: q+1
     120: 1
     121: 1
     122: 1
     123: q+1
     124: 1
     125: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 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
     151: 1
     154: 1
     155: 1
     156: 1
     157: 1
     171: 1
     172: 1
     175: 1
     176: 1
     177: 1
     178: 1
     179: 1
     182: 1
     186: 1
     187: 1
     188: 1
     189: 1
     202: 1
     203: 1
     204: 1
     205: 1
     211: 1
     212: 1
     215: 1
     216: 1
     225: 1
     230: 1
     232: 1
     233: 1
     234: 1
     235: 1
     265: 1

266:   0: 3q+1
       1: q^2+2q+1
       2: 3q+1
       3: q^2+2q+1
       4: 3q+1
       5: 3q+1
       6: q+1
       7: q^2+2q+1
       8: q^2+2q+1
       9: 3q+1
      10: 3q+1
      11: 3q+1
      12: q+1
      13: q^2+2q+1
      14: q^2+2q+1
      15: 3q+1
      16: q^2+2q+1
      17: q^2+2q+1
      18: q+1
      19: q+1
      20: 2q+1
      21: q+1
      22: 2q+1
      23: 2q+1
      24: 2q+1
      25: q+1
      26: 3q+1
      27: 3q+1
      28: 3q+1
      29: q+1
      30: 3q+1
      31: q+1
      32: 2q+1
      33: q+1
      34: 2q+1
      35: 2q+1
      36: 2q+1
      37: q+1
      38: 3q+1
      39: q^2+2q+1
      40: 3q+1
      41: 3q+1
      42: q^2+2q+1
      43: 3q+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: 2q+1
      53: 2q+1
      54: 3q+1
      55: 3q+1
      56: q+1
      57: q+1
      58: q+1
      59: q+1
      60: q+1
      61: q+1
      62: q+1
      63: 2q+1
      64: 2q+1
      65: 2q+1
      66: q+1
      67: 2q+1
      68: q+1
      69: 2q+1
      70: q+1
      71: 2q+1
      72: 2q+1
      73: 2q+1
      74: q+1
      75: 2q+1
      76: q+1
      77: 2q+1
      78: 2q+1
      79: q+1
      80: 2q+1
      81: 1
      82: 1
      83: 1
      84: 1
      85: 1
      86: 1
      87: q+1
      88: q+1
      89: q+1
      90: q+1
      91: 1
      92: 1
      93: q+1
      94: q+1
      95: 1
      96: 1
      97: 1
      98: 2q+1
      99: 2q+1
     100: q+1
     101: q+1
     102: q+1
     103: q+1
     104: 1
     105: 1
     106: 1
     107: 1
     108: q+1
     109: q+1
     110: 1
     111: 1
     112: 2q+1
     113: q+1
     114: 2q+1
     115: 2q+1
     116: 2q+1
     117: q+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
     131: 1
     132: q+1
     133: 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: q+1
     147: q+1
     148: 1
     149: 1
     150: 1
     151: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     161: q+1
     162: q+1
     163: 1
     164: 1
     171: 1
     172: 1
     173: 1
     174: 1
     175: 1
     176: 1
     177: 1
     178: 1
     179: 1
     180: 1
     182: 1
     186: 1
     187: 1
     188: 1
     189: 1
     190: 1
     191: 1
     192: 1
     193: 1
     194: 1
     195: 1
     202: 1
     203: 1
     204: 1
     205: 1
     206: 1
     207: 1
     208: 1
     225: 1
     226: 1
     227: 1
     230: 1
     237: 1
     238: 1
     239: 1
     240: 1
     266: 1

267:   0: 2q+1
       1: 2q+1
       2: 2q^2+3q+1
       3: q^2+q+1
       4: 2q+1
       5: 2q+1
       6: q^2+q+1
       7: 2q+1
       8: 2q+1
       9: 2q^2+3q+1
      10: 2q^2+3q+1
      11: 2q+1
      13: 2q+1
      14: q^3+2q^2+2q+1
      15: 2q^2+3q+1
      16: q^3+2q^2+2q+1
      17: q^2+q+1
      18: q^2+q+1
      20: 2q+1
      21: q^2+q+1
      22: 2q+1
      23: 2q+1
      24: 2q+1
      25: q^2+q+1
      26: 2q+1
      27: 2q+1
      28: 2q+1
      30: 2q+1
      32: q+1
      33: q+1
      34: q^2+2q+1
      35: q^2+2q+1
      36: q+1
      37: q+1
      38: 2q+1
      39: 2q+1
      40: 2q^2+3q+1
      41: 2q+1
      42: 2q+1
      43: 2q^2+3q+1
      44: q+1
      45: q+1
      46: q^2+2q+1
      47: q+1
      48: q+1
      49: q^2+2q+1
      50: q+1
      51: q+1
      52: 2q+1
      53: 2q+1
      54: 2q+1
      55: 2q+1
      56: q+1
      57: q+1
      58: q+1
      59: q+1
      60: q+1
      61: q+1
      62: q^2+2q+1
      63: 2q+1
      64: 2q+1
      65: 2q+1
      67: 2q+1
      69: q+1
      71: q+1
      72: q+1
      73: q+1
      75: q+1
      76: q+1
      77: q^2+2q+1
      78: q+1
      79: q+1
      80: q^2+2q+1
      81: 1
      82: 1
      83: q+1
      84: 1
      85: 1
      86: q+1
      87: q+1
      88: q+1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 1
      97: q+1
      98: 2q+1
      99: 2q+1
     100: q+1
     101: q+1
     102: q+1
     103: q+1
     104: 1
     105: 1
     106: q+1
     108: q+1
     109: q+1
     110: q+1
     112: q+1
     114: q+1
     115: q+1
     116: q+1
     118: 1
     120: 1
     121: 1
     122: 1
     124: 1
     125: 1
     126: q+1
     127: q+1
     128: 1
     129: 1
     130: 1
     131: 1
     132: q+1
     133: 1
     135: 1
     138: 1
     139: 1
     140: 1
     141: 1
     144: 1
     145: 1
     146: 1
     147: 1
     150: 1
     151: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: q+1
     159: q+1
     161: q+1
     162: q+1
     163: q+1
     165: 1
     167: 1
     168: 1
     169: 1
     171: 1
     173: 1
     174: 1
     175: 1
     178: 1
     179: 1
     180: 1
     182: 1
     183: 1
     185: 1
     192: 1
     193: 1
     194: 1
     195: 1
     198: 1
     199: 1
     204: 1
     206: 1
     207: 1
     208: 1
     217: 1
     219: 1
     220: 1
     221: 1
     224: 1
     226: 1
     227: 1
     249: 1
     251: 1
     254: 1
     255: 1
     267: 1

268:   0: q+1
       2: q+1
       3: q+1
       4: q+1
       5: q+1
       9: q+1
      10: q+1
      11: q+1
      14: q+1
      15: q+1
      16: q+1
      17: q+1
      26: q+1
      27: q+1
      28: q+1
      30: q+1
      32: q+1
      34: q+1
      35: q+1
      36: q+1
      38: q+1
      40: q+1
      41: q+1
      43: q+1
      44: 1
      46: 1
      47: 1
      49: 1
      54: q+1
      55: q+1
      58: 1
      59: 1
      60: 1
      62: 1
      69: q+1
      71: q+1
      72: q+1
      73: q+1
      75: q+1
      77: q+1
      78: q+1
      80: q+1
      81: 1
      83: 1
      84: 1
      86: 1
      88: 1
      91: 1
      92: 1
      93: q+1
      94: q+1
      95: 1
      97: 1
     112: q+1
     114: q+1
     115: q+1
     116: q+1
     118: 1
     120: 1
     121: 1
     122: 1
     124: 1
     126: 1
     127: 1
     128: 1
     130: 1
     133: 1
     135: 1
     144: 1
     145: 1
     146: q+1
     147: q+1
     150: 1
     151: 1
     156: 1
     158: 1
     171: 1
     173: 1
     174: 1
     175: 1
     178: 1
     180: 1
     204: 1
     206: 1
     207: 1
     208: 1
     211: 1
     213: 1
     214: 1
     215: 1
     226: 1
     234: 1
     236: 1
     241: 1
     242: 1
     268: 1

269:   0: 3q+1
       1: q^2+2q+1
       2: 3q+1
       3: q^2+2q+1
       4: 3q+1
       5: 3q+1
       6: q+1
       7: q^2+2q+1
       8: q^2+2q+1
       9: 3q+1
      10: 3q+1
      11: 3q+1
      12: q+1
      13: q^2+2q+1
      14: q^2+2q+1
      15: 3q+1
      16: q^2+2q+1
      17: q^2+2q+1
      18: q+1
      19: q+1
      20: 2q+1
      21: q+1
      22: 2q+1
      23: 2q+1
      24: 2q+1
      25: q+1
      26: 3q+1
      27: 3q+1
      28: 3q+1
      29: q+1
      30: 3q+1
      31: q+1
      32: 2q+1
      33: q+1
      34: 2q+1
      35: 2q+1
      36: 2q+1
      37: q+1
      38: q+1
      39: q+1
      40: q+1
      41: q+1
      42: q+1
      43: q+1
      44: 3q+1
      45: q^2+2q+1
      46: 3q+1
      47: 3q+1
      48: q^2+2q+1
      49: 3q+1
      50: q+1
      51: q+1
      52: q+1
      53: q+1
      54: q+1
      55: q+1
      56: 2q+1
      57: 2q+1
      58: 3q+1
      59: 3q+1
      60: q+1
      61: q+1
      62: q+1
      63: 2q+1
      64: 2q+1
      65: 2q+1
      66: q+1
      67: 2q+1
      68: q+1
      69: 2q+1
      70: q+1
      71: 2q+1
      72: 2q+1
      73: 2q+1
      74: q+1
      75: 1
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: 2q+1
      82: q+1
      83: 2q+1
      84: 2q+1
      85: q+1
      86: 2q+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: q+1
      99: q+1
     100: 1
     101: 1
     102: 2q+1
     103: 2q+1
     104: q+1
     105: q+1
     106: 1
     107: 1
     108: q+1
     109: q+1
     110: 1
     111: 1
     112: 1
     113: 1
     114: 1
     115: 1
     116: 1
     117: 1
     118: 2q+1
     119: q+1
     120: 2q+1
     121: 2q+1
     122: 2q+1
     123: q+1
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: q+1
     133: 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: q+1
     149: q+1
     150: q+1
     151: q+1
     152: 1
     153: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     165: 1
     166: 1
     167: q+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
     181: 1
     182: 1
     186: 1
     187: 1
     188: 1
     189: 1
     196: 1
     197: 1
     198: 1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     206: 1
     209: 1
     210: 1
     225: 1
     228: 1
     229: 1
     230: 1
     243: 1
     244: 1
     245: 1
     246: 1
     269: 1

270:   0: 2q+1
       1: 2q+1
       2: 2q^2+3q+1
       3: q^2+q+1
       4: 2q+1
       5: 2q+1
       6: q^2+q+1
       7: 2q+1
       8: 2q+1
       9: 2q^2+3q+1
      10: 2q^2+3q+1
      11: 2q+1
      13: 2q+1
      14: q^3+2q^2+2q+1
      15: 2q^2+3q+1
      16: q^3+2q^2+2q+1
      17: q^2+q+1
      18: q^2+q+1
      20: 2q+1
      21: q^2+q+1
      22: 2q+1
      23: 2q+1
      24: 2q+1
      25: q^2+q+1
      26: 2q+1
      27: 2q+1
      28: 2q+1
      30: 2q+1
      32: q+1
      33: q+1
      34: q^2+2q+1
      35: q^2+2q+1
      36: q+1
      37: q+1
      38: q+1
      39: q+1
      40: q^2+2q+1
      41: q+1
      42: q+1
      43: q^2+2q+1
      44: 2q+1
      45: 2q+1
      46: 2q^2+3q+1
      47: 2q+1
      48: 2q+1
      49: 2q^2+3q+1
      50: q+1
      51: q+1
      52: q+1
      53: q+1
      54: q+1
      55: q+1
      56: 2q+1
      57: 2q+1
      58: 2q+1
      59: 2q+1
      60: q+1
      61: q+1
      62: q^2+2q+1
      63: 2q+1
      64: 2q+1
      65: 2q+1
      67: 2q+1
      69: q+1
      71: q+1
      72: q+1
      73: q+1
      75: 1
      76: 1
      77: q+1
      78: 1
      79: 1
      80: q+1
      81: q+1
      82: q+1
      83: q^2+2q+1
      84: q+1
      85: q+1
      86: q^2+2q+1
      87: q+1
      88: q+1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 1
      97: q+1
      98: q+1
      99: q+1
     100: 1
     101: 1
     102: 2q+1
     103: 2q+1
     104: q+1
     105: q+1
     106: q+1
     108: q+1
     109: q+1
     110: q+1
     112: 1
     114: 1
     115: 1
     116: 1
     118: q+1
     120: q+1
     121: q+1
     122: q+1
     124: 1
     125: 1
     126: q+1
     127: q+1
     128: 1
     129: 1
     130: 1
     131: 1
     132: q+1
     133: 1
     135: 1
     138: 1
     139: 1
     140: 1
     141: 1
     146: 1
     147: 1
     150: 1
     151: 1
     152: 1
     153: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: q+1
     159: 1
     161: 1
     162: 1
     163: 1
     165: q+1
     167: q+1
     168: q+1
     169: q+1
     171: 1
     173: 1
     174: 1
     175: 1
     178: 1
     179: 1
     181: 1
     182: 1
     183: 1
     185: 1
     194: 1
     195: 1
     198: 1
     199: 1
     200: 1
     201: 1
     204: 1
     206: 1
     209: 1
     210: 1
     217: 1
     219: 1
     220: 1
     221: 1
     224: 1
     228: 1
     229: 1
     249: 1
     251: 1
     256: 1
     257: 1
     270: 1

271:   0: q+1
       2: q+1
       3: q+1
       4: q+1
       5: q+1
       9: q+1
      10: q+1
      11: q+1
      14: q+1
      15: q+1
      16: q+1
      17: q+1
      26: q+1
      27: q+1
      28: q+1
      30: q+1
      32: q+1
      34: q+1
      35: q+1
      36: q+1
      38: 1
      40: 1
      41: 1
      43: 1
      44: q+1
      46: q+1
      47: q+1
      49: q+1
      54: 1
      55: 1
      58: q+1
      59: q+1
      60: 1
      62: 1
      69: q+1
      71: q+1
      72: q+1
      73: q+1
      75: 1
      77: 1
      78: 1
      80: 1
      81: q+1
      83: q+1
      84: q+1
      86: q+1
      88: 1
      91: q+1
      92: q+1
      93: 1
      94: 1
      95: 1
      97: 1
     112: 1
     114: 1
     115: 1
     116: 1
     118: q+1
     120: q+1
     121: q+1
     122: q+1
     124: 1
     126: 1
     127: 1
     128: 1
     130: 1
     133: 1
     135: 1
     146: 1
     147: 1
     150: q+1
     151: q+1
     152: 1
     153: 1
     156: 1
     158: 1
     171: 1
     173: 1
     174: 1
     175: 1
     178: 1
     181: 1
     204: 1
     206: 1
     209: 1
     210: 1
     211: 1
     213: 1
     214: 1
     215: 1
     228: 1
     234: 1
     236: 1
     247: 1
     248: 1
     271: 1

272:   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
      15: 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: 1
      33: 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+1
      47: q+1
      48: q+1
      49: q+1
      50: 1
      51: 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: 1
      70: 1
      73: 1
      74: 1
      75: 1
      76: 1
      78: 1
      79: 1
      81: 1
      82: 1
      84: 1
      85: 1
      87: q+1
      88: q+1
      89: 1
      90: 1
      95: 1
      96: 1
      98: q+1
      99: q+1
     100: 1
     101: 1
     102: q+1
     103: q+1
     104: 1
     105: 1
     106: 1
     107: 1
     110: 1
     111: 1
     112: 1
     113: 1
     116: 1
     117: 1
     118: 1
     119: 1
     122: 1
     123: 1
     124: 1
     125: 1
     128: 1
     129: 1
     131: 1
     132: q+1
     133: 1
     134: 1
     136: 1
     137: 1
     142: 1
     143: 1
     148: 1
     149: 1
     154: 1
     155: 1
     156: 1
     157: 1
     159: 1
     160: 1
     163: 1
     164: 1
     165: 1
     166: 1
     169: 1
     170: 1
     171: 1
     172: 1
     175: 1
     176: 1
     177: 1
     182: 1
     183: 1
     184: 1
     190: 1
     191: 1
     196: 1
     197: 1
     202: 1
     203: 1
     204: 1
     205: 1
     217: 1
     218: 1
     221: 1
     222: 1
     223: 1
     230: 1
     249: 1
     250: 1
     252: 1
     253: 1
     272: 1

273:   0: 2q+1
       1: 2q+1
       2: 3q+1
       3: q^2+q+1
       4: 2q+1
       5: 2q+1
       6: q^2+q+1
       7: 2q+1
       8: 2q+1
       9: 3q+1
      10: 3q+1
      11: 2q+1
      13: 2q+1
      14: q^2+2q+1
      15: 3q+1
      16: q^2+2q+1
      17: q^2+q+1
      18: q^2+q+1
      20: 2q+1
      21: q^2+q+1
      22: 2q+1
      23: 2q+1
      24: 2q+1
      25: q^2+q+1
      26: q+1
      27: q+1
      28: q+1
      30: q+1
      32: q+1
      33: q+1
      34: 2q+1
      35: 2q+1
      36: q+1
      37: q+1
      38: 2q+1
      39: 2q+1
      40: 3q+1
      41: 2q+1
      42: 2q+1
      43: 3q+1
      44: 2q+1
      45: 2q+1
      46: 3q+1
      47: 2q+1
      48: 2q+1
      49: 3q+1
      50: q+1
      51: q+1
      52: 2q+1
      53: 2q+1
      54: q+1
      55: q+1
      56: 2q+1
      57: 2q+1
      58: q+1
      59: q+1
      60: 2q+1
      61: 2q+1
      62: 3q+1
      63: q+1
      64: q+1
      65: q+1
      67: q+1
      69: 1
      71: 1
      72: 1
      73: 1
      75: q+1
      76: q+1
      77: 2q+1
      78: q+1
      79: q+1
      80: 2q+1
      81: q+1
      82: q+1
      83: 2q+1
      84: q+1
      85: q+1
      86: 2q+1
      87: 2q+1
      88: q+1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 1
      97: q+1
      98: q+1
      99: q+1
     100: q+1
     101: q+1
     102: q+1
     103: q+1
     104: q+1
     105: q+1
     106: 1
     108: 1
     109: 1
     110: 1
     112: 1
     114: 1
     115: 1
     116: 1
     118: 1
     120: 1
     121: 1
     122: 1
     124: q+1
     125: q+1
     126: 2q+1
     127: 2q+1
     128: q+1
     129: q+1
     130: 1
     131: 1
     132: q+1
     138: 1
     139: 1
     140: 1
     141: 1
     144: 1
     145: 1
     146: 1
     147: 1
     150: 1
     151: 1
     152: 1
     153: 1
     154: q+1
     155: q+1
     156: 1
     157: 1
     158: q+1
     159: 1
     161: 1
     162: 1
     163: 1
     165: 1
     167: 1
     168: 1
     169: 1
     171: 1
     173: 1
     174: 1
     175: 1
     179: 1
     180: 1
     181: 1
     182: 1
     192: 1
     193: 1
     194: 1
     195: 1
     198: 1
     199: 1
     200: 1
     201: 1
     207: 1
     208: 1
     209: 1
     210: 1
     217: 1
     219: 1
     220: 1
     221: 1
     227: 1
     229: 1
     231: 1
     254: 1
     255: 1
     256: 1
     257: 1
     273: 1

274:   0: 1
       2: 1
       3: q^3+1
       4: 1
       5: 1
       9: 1
      10: 1
      11: 1
      14: q^3+1
      15: 1
      16: q^3+1
      17: q^3+1
      26: 1
      27: 1
      28: 1
      30: 1
      32: 1
      34: 1
      35: 1
      36: 1
      38: 1
      40: 1
      41: 1
      43: 1
      44: 1
      46: 1
      47: 1
      49: 1
      54: 1
      55: 1
      58: 1
      59: 1
      60: 1
      62: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: 1
      77: 1
      78: 1
      80: 1
      81: 1
      83: 1
      84: 1
      86: 1
      88: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      97: 1
     112: 1
     114: 1
     115: 1
     116: 1
     118: 1
     120: 1
     121: 1
     122: 1
     124: 1
     126: 1
     127: 1
     128: 1
     130: 1
     133: 1
     135: 1
     144: 1
     145: 1
     146: 1
     147: 1
     150: 1
     151: 1
     152: 1
     153: 1
     156: 1
     158: 1
     171: 1
     173: 1
     174: 1
     175: 1
     178: 1
     180: 1
     181: 1
     204: 1
     206: 1
     207: 1
     208: 1
     209: 1
     210: 1
     226: 1
     228: 1
     231: 1
     274: 1

275:   0: q+1
       2: q+1
       3: q+1
       4: q+1
       5: q+1
       9: q+1
      10: q+1
      11: q+1
      14: q+1
      15: q+1
      16: q+1
      17: q+1
      26: 1
      27: 1
      28: 1
      30: 1
      32: q+1
      34: q+1
      35: q+1
      36: q+1
      38: q+1
      40: q+1
      41: q+1
      43: q+1
      44: q+1
      46: q+1
      47: q+1
      49: q+1
      54: 1
      55: 1
      58: 1
      59: 1
      60: q+1
      62: q+1
      69: 1
      71: 1
      72: 1
      73: 1
      75: q+1
      77: q+1
      78: q+1
      80: q+1
      81: q+1
      83: q+1
      84: q+1
      86: q+1
      88: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: q+1
      97: q+1
     112: 1
     114: 1
     115: 1
     116: 1
     118: 1
     120: 1
     121: 1
     122: 1
     124: q+1
     126: q+1
     127: q+1
     128: q+1
     130: 1
     144: 1
     145: 1
     146: 1
     147: 1
     150: 1
     151: 1
     152: 1
     153: 1
     156: q+1
     158: q+1
     171: 1
     173: 1
     174: 1
     175: 1
     180: 1
     181: 1
     207: 1
     208: 1
     209: 1
     210: 1
     211: 1
     213: 1
     214: 1
     215: 1
     231: 1
     241: 1
     242: 1
     247: 1
     248: 1
     275: 1

276:   0: q+1
       1: q+1
       2: q^2+2q+1
       3: q+1
       4: 1
       5: 1
       6: q+1
       7: 1
       8: 1
       9: q+1
      10: q+1
      11: q+1
      13: q+1
      14: q+1
      15: q^2+2q+1
      16: q+1
      17: q+1
      18: q+1
      20: q+1
      21: q+1
      22: 1
      23: 1
      24: q+1
      25: q+1
      26: q+1
      27: 1
      28: 1
      30: 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: q+1
      41: 1
      42: 1
      43: q+1
      44: 1
      45: 1
      46: q+1
      47: 1
      48: 1
      49: q+1
      50: q+1
      51: q+1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: q+1
      63: q+1
      64: 1
      65: 1
      67: q+1
      69: q+1
      71: 1
      72: 1
      73: q+1
      75: 1
      76: 1
      77: q+1
      78: 1
      79: 1
      80: q+1
      81: 1
      82: 1
      83: q+1
      84: 1
      85: 1
      86: q+1
      87: 1
      88: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 1
      97: q+1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: q+1
     108: 1
     109: 1
     110: q+1
     112: 1
     114: 1
     115: 1
     116: 1
     118: 1
     120: 1
     121: 1
     122: 1
     124: 1
     125: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 1
     135: 1
     138: 1
     139: 1
     140: 1
     141: 1
     146: 1
     147: 1
     150: 1
     151: 1
     154: 1
     155: 1
     156: 1
     157: 1
     159: 1
     161: 1
     162: 1
     163: 1
     165: 1
     167: 1
     168: 1
     169: 1
     171: 1
     175: 1
     178: 1
     179: 1
     182: 1
     183: 1
     185: 1
     194: 1
     195: 1
     198: 1
     199: 1
     204: 1
     211: 1
     215: 1
     217: 1
     221: 1
     224: 1
     234: 1
     249: 1
     258: 1
     262: 1
     276: 1

277:   0: 1
       1: 1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
       8: 1
      11: 1
      12: q+1
      13: 1
      17: 1
      18: 1
      19: q+1
      20: 1
      21: 1
      22: 1
      23: 1
      24: 1
      25: 1
      29: 1
      31: 1
      32: 1
      33: 1
      36: 1
      37: 1
      38: 1
      39: 1
      41: 1
      42: 1
      44: 1
      45: 1
      47: 1
      48: 1
      50: 1
      51: 1
      52: 1
      53: 1
      56: 1
      57: 1
      60: 1
      61: 1
      66: 1
      68: 1
      70: 1
      74: 1
      75: 1
      76: 1
      78: 1
      79: 1
      81: 1
      82: 1
      84: 1
      85: 1
      87: 1
      95: 1
      96: 1
     100: 1
     101: 1
     104: 1
     105: 1
     107: 1
     111: 1
     113: 1
     117: 1
     119: 1
     123: 1
     124: 1
     125: 1
     128: 1
     129: 1
     131: 1
     134: 1
     154: 1
     155: 1
     156: 1
     157: 1
     160: 1
     164: 1
     166: 1
     170: 1
     172: 1
     176: 1
     182: 1
     184: 1
     205: 1
     212: 1
     216: 1
     218: 1
     222: 1
     235: 1
     250: 1
     259: 1
     263: 1
     277: 1

278:   0: 1
       1: 1
       2: q+1
       3: 1
       4: q+1
       5: q+1
       6: 1
       7: q+1
       8: q+1
       9: q^2+2q+1
      10: q^2+2q+1
      11: 1
      13: 1
      14: q^2+2q+1
      15: q+1
      16: q^2+2q+1
      17: 1
      18: 1
      20: 1
      21: 1
      22: q+1
      23: q+1
      24: 1
      25: 1
      26: 1
      27: q+1
      28: q+1
      30: 1
      32: 1
      33: 1
      34: q^2+2q+1
      35: q^2+2q+1
      36: 1
      37: 1
      38: 1
      39: 1
      40: q+1
      41: 1
      42: 1
      43: q+1
      44: 1
      45: 1
      46: q+1
      47: 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: 1
      61: 1
      62: q+1
      63: 1
      64: q+1
      65: q+1
      67: 1
      69: 1
      71: q+1
      72: q+1
      73: 1
      75: 1
      76: 1
      77: q+1
      78: 1
      79: 1
      80: q+1
      81: 1
      82: 1
      83: q+1
      84: 1
      85: 1
      86: q+1
      87: 1
      88: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 1
      97: q+1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     108: q+1
     109: q+1
     110: 1
     112: 1
     114: 1
     115: 1
     116: 1
     118: 1
     120: 1
     121: 1
     122: 1
     126: q+1
     127: q+1
     130: 1
     131: 1
     132: 1
     133: 1
     135: 1
     138: 1
     139: 1
     140: 1
     141: 1
     146: 1
     147: 1
     150: 1
     151: 1
     158: q+1
     159: 1
     161: 1
     162: 1
     163: 1
     165: 1
     167: 1
     168: 1
     169: 1
     173: 1
     174: 1
     178: 1
     179: 1
     183: 1
     185: 1
     194: 1
     195: 1
     198: 1
     199: 1
     206: 1
     213: 1
     214: 1
     219: 1
     220: 1
     224: 1
     236: 1
     251: 1
     260: 1
     261: 1
     278: 1

279:   0: 3q+1
       1: 3q+1
       2: q+1
       3: 3q+1
       4: q+1
       5: q+1
       6: 3q+1
       7: q+1
       8: q+1
       9: 1
      10: 1
      11: 1
      12: 2q^2+3q+1
      13: 1
      14: 1
      15: q+1
      16: 1
      17: 1
      18: 1
      20: 3q+1
      21: 3q+1
      22: q+1
      23: q+1
      24: 1
      25: 1
      26: q+1
      27: 1
      28: 1
      29: 3q+1
      30: 1
      32: 3q+1
      33: 3q+1
      34: 1
      35: 1
      36: 1
      37: 1
      38: q+1
      39: q+1
      40: 1
      41: 1
      42: 1
      43: 1
      44: q+1
      45: q+1
      46: 1
      47: 1
      48: 1
      49: 1
      50: 3q+1
      51: 1
      52: q+1
      53: 1
      54: 1
      55: 1
      56: q+1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: 1
      63: q+1
      64: 1
      65: 1
      66: 3q+1
      67: 1
      69: q+1
      70: 3q+1
      71: 1
      72: 1
      73: 1
      75: q+1
      76: q+1
      77: 1
      78: 1
      79: 1
      80: 1
      81: q+1
      82: q+1
      83: 1
      84: 1
      85: 1
      86: 1
      87: 1
      88: 1
      89: q+1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: q+1
     101: 1
     102: 1
     103: 1
     104: q+1
     105: 1
     106: q+1
     107: 3q+1
     108: 1
     109: 1
     110: 1
     112: 1
     113: q+1
     114: 1
     118: 1
     119: q+1
     120: 1
     124: 1
     125: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     136: q+1
     138: 1
     139: 1
     140: 1
     141: 1
     142: 1
     146: 1
     148: 1
     150: 1
     154: 1
     155: 1
     156: 1
     157: 1
     159: 1
     160: q+1
     161: 1
     165: 1
     166: q+1
     167: 1
     171: 1
     172: 1
     179: 1
     182: 1
     186: 1
     188: 1
     190: 1
     194: 1
     196: 1
     198: 1
     202: 1
     211: 1
     212: 1
     217: 1
     218: 1
     232: 1
     239: 1
     243: 1
     252: 1
     258: 1
     259: 1
     279: 1

280:   0: 1
       1: 1
       2: q+1
       3: 1
       4: q+1
       5: q+1
       6: 1
       7: q+1
       8: q+1
       9: 1
      10: 1
      11: 3q+1
      13: 3q+1
      14: 1
      15: q+1
      16: 1
      17: 3q+1
      18: 3q+1
      19: 2q^2+3q+1
      20: 1
      21: 1
      22: q+1
      23: q+1
      24: 3q+1
      25: 3q+1
      26: 1
      27: 1
      28: 1
      30: q+1
      31: 3q+1
      32: 1
      33: 1
      34: 1
      35: 1
      36: 3q+1
      37: 3q+1
      38: 1
      39: 1
      40: 1
      41: q+1
      42: q+1
      43: 1
      44: 1
      45: 1
      46: 1
      47: q+1
      48: q+1
      49: 1
      50: 1
      51: 3q+1
      52: 1
      53: q+1
      54: 1
      55: 1
      56: 1
      57: q+1
      58: 1
      59: 1
      60: 1
      61: 1
      62: 1
      63: 1
      64: 1
      65: 1
      67: q+1
      68: 3q+1
      69: 1
      71: 1
      72: 1
      73: q+1
      74: 3q+1
      75: 1
      76: 1
      77: 1
      78: q+1
      79: q+1
      80: 1
      81: 1
      82: 1
      83: 1
      84: q+1
      85: q+1
      86: 1
      87: 1
      88: 1
      90: q+1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: q+1
     102: 1
     103: 1
     104: 1
     105: q+1
     106: 1
     108: 1
     109: 1
     110: q+1
     111: 3q+1
     115: 1
     116: 1
     117: q+1
     121: 1
     122: 1
     123: q+1
     124: 1
     125: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     137: q+1
     138: 1
     139: 1
     140: 1
     141: 1
     143: 1
     147: 1
     149: 1
     151: 1
     154: 1
     155: 1
     156: 1
     157: 1
     162: 1
     163: 1
     164: q+1
     168: 1
     169: 1
     170: q+1
     175: 1
     176: 1
     179: 1
     182: 1
     187: 1
     189: 1
     191: 1
     195: 1
     197: 1
     199: 1
     203: 1
     215: 1
     216: 1
     221: 1
     222: 1
     233: 1
     240: 1
     244: 1
     253: 1
     262: 1
     263: 1
     280: 1

281:   0: q^2+2q+1
       1: q+1
       2: q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: 1
       6: q+1
       7: q+1
       8: q^2+1
       9: q+1
      10: q+1
      11: 1
      12: q^2+q+1
      13: q^2+1
      14: q+1
      15: q+1
      16: q+1
      17: 1
      18: q^2+1
      20: q+1
      21: q+1
      22: q+1
      23: 1
      24: 1
      25: 1
      26: q+1
      27: q+1
      28: 1
      29: q+1
      30: 1
      32: q^2+2q+1
      33: q+1
      34: q+1
      35: q+1
      36: 1
      37: q^2+1
      38: q^2+2q+1
      39: q+1
      40: q+1
      41: 1
      42: q^2+1
      43: q+1
      44: 1
      45: 1
      46: 1
      47: 1
      48: 1
      49: 1
      50: q+1
      51: 1
      52: q+1
      53: 1
      54: q+1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: 1
      63: 1
      64: 1
      65: 1
      66: q+1
      67: 1
      69: q+1
      70: q+1
      71: q+1
      72: 1
      73: 1
      75: q^2+2q+1
      76: q+1
      77: q+1
      78: 1
      79: q^2+1
      80: q+1
      81: 1
      82: 1
      83: 1
      84: 1
      85: 1
      86: 1
      87: 1
      88: 1
      89: 1
      91: 1
      92: 1
      93: q+1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: q+1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     107: q+1
     108: 1
     109: 1
     110: 1
     112: q+1
     113: q+1
     114: q+1
     115: 1
     116: 1
     118: 1
     119: 1
     120: 1
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     136: 1
     138: 1
     139: 1
     140: 1
     141: 1
     142: 1
     144: 1
     145: 1
     146: q+1
     147: 1
     148: 1
     150: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: q+1
     161: 1
     162: 1
     163: 1
     171: 1
     172: 1
     174: 1
     179: 1
     180: 1
     182: 1
     186: 1
     188: 1
     190: 1
     192: 1
     193: 1
     194: 1
     195: 1
     202: 1
     207: 1
     211: 1
     212: 1
     214: 1
     227: 1
     232: 1
     237: 1
     239: 1
     241: 1
     281: 1

282:   0: 1
       1: q^2+1
       2: q+1
       3: 1
       4: 1
       5: q^2+2q+1
       6: q^2+1
       7: q^2+1
       8: q+1
       9: q+1
      10: q+1
      11: q^2+2q+1
      13: q+1
      14: q+1
      15: q+1
      16: q+1
      17: q^2+2q+1
      18: q+1
      19: q^2+q+1
      20: 1
      21: 1
      22: 1
      23: q+1
      24: q+1
      25: q+1
      26: 1
      27: 1
      28: q+1
      30: q+1
      31: q+1
      32: 1
      33: q^2+1
      34: q+1
      35: q+1
      36: q^2+2q+1
      37: q+1
      38: 1
      39: q^2+1
      40: q+1
      41: q^2+2q+1
      42: q+1
      43: q+1
      44: 1
      45: 1
      46: 1
      47: 1
      48: 1
      49: 1
      50: 1
      51: q+1
      52: 1
      53: q+1
      54: 1
      55: q+1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: 1
      63: 1
      64: 1
      65: 1
      67: 1
      68: q+1
      69: 1
      71: 1
      72: q+1
      73: q+1
      74: q+1
      75: 1
      76: q^2+1
      77: q+1
      78: q^2+2q+1
      79: q+1
      80: q+1
      81: 1
      82: 1
      83: 1
      84: 1
      85: 1
      86: 1
      87: 1
      88: 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: q+1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: 1
     111: q+1
     112: 1
     114: 1
     115: q+1
     116: q+1
     117: q+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
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     143: 1
     144: 1
     145: 1
     146: 1
     147: q+1
     149: 1
     151: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     159: 1
     161: 1
     162: 1
     163: 1
     164: q+1
     173: 1
     175: 1
     176: 1
     179: 1
     180: 1
     182: 1
     187: 1
     189: 1
     191: 1
     192: 1
     193: 1
     194: 1
     195: 1
     203: 1
     208: 1
     213: 1
     215: 1
     216: 1
     227: 1
     233: 1
     238: 1
     240: 1
     242: 1
     282: 1

283:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       5: 1
       6: q+1
       7: q+1
       8: 1
       9: q+1
      10: q^2+2q+1
      11: 1
      13: 1
      14: q+1
      15: q^2+2q+1
      16: q^2+2q+1
      17: 1
      18: 1
      20: q+1
      21: q+1
      22: q+1
      23: 1
      24: 1
      25: 1
      26: 1
      27: 1
      28: 1
      30: 1
      32: q+1
      33: q+1
      34: q+1
      35: q^2+2q+1
      36: 1
      37: 1
      38: q+1
      39: q+1
      40: q+1
      41: 1
      42: 1
      43: q^2+2q+1
      44: 1
      45: 1
      46: q+1
      47: 1
      48: 1
      49: q+1
      50: q+1
      51: 1
      52: q+1
      53: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: q+1
      63: 1
      64: 1
      65: 1
      67: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: q+1
      76: q+1
      77: q+1
      78: 1
      79: 1
      80: q^2+2q+1
      81: 1
      82: 1
      83: q+1
      84: 1
      85: 1
      86: q+1
      87: 1
      88: 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
     103: 1
     104: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: 1
     112: 1
     114: 1
     115: 1
     116: 1
     118: 1
     120: 1
     124: 1
     125: 1
     126: q+1
     127: q+1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     138: 1
     139: 1
     140: 1
     141: 1
     144: 1
     145: 1
     146: 1
     147: 1
     150: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: q+1
     159: 1
     161: 1
     162: 1
     163: 1
     165: 1
     167: 1
     171: 1
     174: 1
     179: 1
     180: 1
     182: 1
     192: 1
     193: 1
     194: 1
     195: 1
     198: 1
     207: 1
     211: 1
     214: 1
     217: 1
     220: 1
     227: 1
     241: 1
     254: 1
     258: 1
     261: 1
     283: 1

284:   0: 1
       1: 1
       2: q^2+2q+1
       3: 1
       4: 1
       5: q+1
       6: 1
       7: 1
       8: q+1
       9: q^2+2q+1
      10: q+1
      11: q+1
      13: q+1
      14: q^2+2q+1
      15: q+1
      16: q+1
      17: q+1
      18: q+1
      20: 1
      21: 1
      22: 1
      23: q+1
      24: q+1
      25: q+1
      26: 1
      27: 1
      28: 1
      30: 1
      32: 1
      33: 1
      34: q^2+2q+1
      35: q+1
      36: q+1
      37: q+1
      38: 1
      39: 1
      40: q^2+2q+1
      41: q+1
      42: q+1
      43: q+1
      44: 1
      45: 1
      46: q+1
      47: 1
      48: 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: 1
      60: 1
      61: 1
      62: q+1
      63: 1
      64: 1
      65: 1
      67: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: 1
      76: 1
      77: q^2+2q+1
      78: q+1
      79: q+1
      80: q+1
      81: 1
      82: 1
      83: q+1
      84: 1
      85: 1
      86: q+1
      87: 1
      88: 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
     103: 1
     104: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: 1
     112: 1
     114: 1
     115: 1
     116: 1
     121: 1
     122: 1
     124: 1
     125: 1
     126: q+1
     127: q+1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     138: 1
     139: 1
     140: 1
     141: 1
     144: 1
     145: 1
     146: 1
     147: 1
     151: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: q+1
     159: 1
     161: 1
     162: 1
     163: 1
     168: 1
     169: 1
     173: 1
     175: 1
     179: 1
     180: 1
     182: 1
     192: 1
     193: 1
     194: 1
     195: 1
     199: 1
     208: 1
     213: 1
     215: 1
     219: 1
     221: 1
     227: 1
     242: 1
     255: 1
     260: 1
     262: 1
     284: 1

285:   0: q^2+2q+1
       1: q+1
       2: q+1
       3: q^2+2q+1
       4: 1
       5: q^2+2q+1
       6: q+1
       7: q^2+1
       8: q+1
       9: q+1
      10: q+1
      11: 1
      12: q^2+q+1
      13: q^2+1
      14: q+1
      15: q+1
      16: q+1
      17: 1
      18: q^2+1
      20: q+1
      21: q+1
      22: 1
      23: q+1
      24: 1
      25: 1
      26: q+1
      27: 1
      28: q+1
      29: q+1
      30: 1
      32: q^2+2q+1
      33: q+1
      34: q+1
      35: q+1
      36: 1
      37: q^2+1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: q^2+2q+1
      45: q+1
      46: q+1
      47: 1
      48: q^2+1
      49: q+1
      50: q+1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: q+1
      57: 1
      58: q+1
      59: 1
      60: 1
      61: 1
      62: 1
      63: 1
      64: 1
      65: 1
      66: q+1
      67: 1
      69: q+1
      70: q+1
      71: 1
      72: q+1
      73: 1
      75: 1
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: q^2+2q+1
      82: q+1
      83: q+1
      84: 1
      85: q^2+1
      86: q+1
      87: 1
      88: 1
      89: 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
     103: 1
     104: q+1
     105: 1
     106: 1
     107: q+1
     108: 1
     109: 1
     110: 1
     112: 1
     113: 1
     114: 1
     118: q+1
     119: q+1
     120: q+1
     121: 1
     122: 1
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     136: 1
     138: 1
     139: 1
     140: 1
     141: 1
     142: 1
     146: 1
     148: 1
     150: q+1
     151: 1
     152: 1
     153: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     165: 1
     166: q+1
     167: 1
     168: 1
     169: 1
     171: 1
     172: 1
     173: 1
     179: 1
     181: 1
     182: 1
     186: 1
     188: 1
     196: 1
     198: 1
     199: 1
     200: 1
     201: 1
     202: 1
     209: 1
     211: 1
     212: 1
     213: 1
     229: 1
     232: 1
     243: 1
     245: 1
     247: 1
     285: 1

286:   0: 1
       1: q^2+1
       2: q+1
       3: 1
       4: q^2+2q+1
       5: 1
       6: q^2+1
       7: q+1
       8: q^2+1
       9: q+1
      10: q+1
      11: q^2+2q+1
      13: q+1
      14: q+1
      15: q+1
      16: q+1
      17: q^2+2q+1
      18: q+1
      19: q^2+q+1
      20: 1
      21: 1
      22: q+1
      23: 1
      24: q+1
      25: q+1
      26: 1
      27: q+1
      28: 1
      30: q+1
      31: q+1
      32: 1
      33: q^2+1
      34: q+1
      35: q+1
      36: q^2+2q+1
      37: q+1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      45: q^2+1
      46: q+1
      47: q^2+2q+1
      48: q+1
      49: q+1
      50: 1
      51: q+1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: q+1
      58: 1
      59: q+1
      60: 1
      61: 1
      62: 1
      63: 1
      64: 1
      65: 1
      67: 1
      68: q+1
      69: 1
      71: q+1
      72: 1
      73: q+1
      74: q+1
      75: 1
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: 1
      82: q^2+1
      83: q+1
      84: q^2+2q+1
      85: q+1
      86: q+1
      87: 1
      88: 1
      90: 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
     103: 1
     104: 1
     105: q+1
     106: 1
     108: 1
     109: 1
     110: 1
     111: q+1
     115: 1
     116: 1
     117: 1
     118: 1
     120: 1
     121: q+1
     122: q+1
     123: q+1
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     143: 1
     147: 1
     149: 1
     150: 1
     151: q+1
     152: 1
     153: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     165: 1
     167: 1
     168: 1
     169: 1
     170: q+1
     174: 1
     175: 1
     176: 1
     179: 1
     181: 1
     182: 1
     187: 1
     189: 1
     197: 1
     198: 1
     199: 1
     200: 1
     201: 1
     203: 1
     210: 1
     214: 1
     215: 1
     216: 1
     229: 1
     233: 1
     244: 1
     246: 1
     248: 1
     286: 1

287:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: 1
       5: q+1
       6: q+1
       7: 1
       8: q+1
       9: q^2+2q+1
      10: q+1
      11: 1
      13: 1
      14: q^2+2q+1
      15: q^2+2q+1
      16: q+1
      17: 1
      18: 1
      20: q+1
      21: q+1
      22: 1
      23: q+1
      24: 1
      25: 1
      26: 1
      27: 1
      28: 1
      30: 1
      32: q+1
      33: q+1
      34: q^2+2q+1
      35: q+1
      36: 1
      37: 1
      38: 1
      39: 1
      40: q+1
      41: 1
      42: 1
      43: q+1
      44: q+1
      45: q+1
      46: q+1
      47: 1
      48: 1
      49: q^2+2q+1
      50: q+1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: q+1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: q+1
      63: 1
      64: 1
      65: 1
      67: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: 1
      76: 1
      77: q+1
      78: 1
      79: 1
      80: q+1
      81: q+1
      82: q+1
      83: q+1
      84: 1
      85: 1
      86: q^2+2q+1
      87: 1
      88: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 1
      97: q+1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: q+1
     105: 1
     106: 1
     108: 1
     109: 1
     110: 1
     112: 1
     114: 1
     118: 1
     120: 1
     121: 1
     122: 1
     124: 1
     125: 1
     126: q+1
     127: q+1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     138: 1
     139: 1
     140: 1
     141: 1
     146: 1
     150: 1
     151: 1
     152: 1
     153: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: q+1
     159: 1
     161: 1
     165: 1
     167: 1
     168: 1
     169: 1
     171: 1
     173: 1
     179: 1
     181: 1
     182: 1
     194: 1
     198: 1
     199: 1
     200: 1
     201: 1
     209: 1
     211: 1
     213: 1
     217: 1
     219: 1
     229: 1
     247: 1
     256: 1
     258: 1
     260: 1
     287: 1

288:   0: 1
       1: 1
       2: q^2+2q+1
       3: 1
       4: q+1
       5: 1
       6: 1
       7: q+1
       8: 1
       9: q+1
      10: q^2+2q+1
      11: q+1
      13: q+1
      14: q+1
      15: q+1
      16: q^2+2q+1
      17: q+1
      18: q+1
      20: 1
      21: 1
      22: q+1
      23: 1
      24: q+1
      25: q+1
      26: 1
      27: 1
      28: 1
      30: 1
      32: 1
      33: 1
      34: q+1
      35: q^2+2q+1
      36: q+1
      37: q+1
      38: 1
      39: 1
      40: q+1
      41: 1
      42: 1
      43: q+1
      44: 1
      45: 1
      46: q^2+2q+1
      47: q+1
      48: q+1
      49: q+1
      50: 1
      51: q+1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: q+1
      58: 1
      59: 1
      60: 1
      61: 1
      62: q+1
      63: 1
      64: 1
      65: 1
      67: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: 1
      76: 1
      77: q+1
      78: 1
      79: 1
      80: q+1
      81: 1
      82: 1
      83: q^2+2q+1
      84: q+1
      85: q+1
      86: q+1
      87: 1
      88: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 1
      97: q+1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: q+1
     106: 1
     108: 1
     109: 1
     110: 1
     115: 1
     116: 1
     118: 1
     120: 1
     121: 1
     122: 1
     124: 1
     125: 1
     126: q+1
     127: q+1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     138: 1
     139: 1
     140: 1
     141: 1
     147: 1
     150: 1
     151: 1
     152: 1
     153: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: q+1
     162: 1
     163: 1
     165: 1
     167: 1
     168: 1
     169: 1
     174: 1
     175: 1
     179: 1
     181: 1
     182: 1
     195: 1
     198: 1
     199: 1
     200: 1
     201: 1
     210: 1
     214: 1
     215: 1
     220: 1
     221: 1
     229: 1
     248: 1
     257: 1
     261: 1
     262: 1
     288: 1

289:   0: 1
       1: 1
       2: 1
       3: q+1
       4: 1
       5: 1
       6: q+1
       7: 1
       8: 1
       9: 1
      10: 1
      11: 1
      12: q+1
      13: 1
      15: 1
      16: q+1
      20: 1
      21: q+1
      22: 1
      23: 1
      24: 1
      26: 1
      27: 1
      28: 1
      29: q+1
      30: 1
      32: 1
      33: 1
      35: 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
      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: q+1
      67: 1
      69: 1
      70: 1
      72: 1
      75: 1
      76: 1
      80: 1
      81: 1
      82: 1
      83: 1
      87: 1
      88: 1
      89: 1
      91: 1
      98: 1
      99: 1
     100: 1
     102: 1
     103: 1
     104: 1
     106: 1
     107: 1
     109: 1
     112: 1
     113: 1
     115: 1
     118: 1
     119: 1
     120: 1
     124: 1
     125: 1
     127: 1
     132: 1
     136: 1
     138: 1
     142: 1
     144: 1
     148: 1
     150: 1
     154: 1
     159: 1
     160: 1
     162: 1
     165: 1
     166: 1
     167: 1
     171: 1
     172: 1
     174: 1
     186: 1
     190: 1
     192: 1
     196: 1
     198: 1
     202: 1
     207: 1
     217: 1
     218: 1
     220: 1
     237: 1
     243: 1
     252: 1
     254: 1
     289: 1

290:   0: 1
       1: 1
       2: 1
       4: 1
       5: 1
       7: 1
       8: 1
       9: 1
      10: 1
      11: 1
      13: 1
      14: q+1
      15: 1
      17: q+1
      18: q+1
      19: q+1
      20: 1
      22: 1
      23: 1
      24: 1
      25: q+1
      26: 1
      27: 1
      28: 1
      30: 1
      31: q+1
      34: 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
      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
      67: 1
      68: q+1
      71: 1
      73: 1
      74: 1
      77: 1
      78: 1
      79: 1
      84: 1
      85: 1
      86: 1
      87: 1
      88: 1
      90: 1
      92: 1
      98: 1
      99: 1
     101: 1
     102: 1
     103: 1
     105: 1
     108: 1
     110: 1
     111: 1
     114: 1
     116: 1
     117: 1
     121: 1
     122: 1
     123: 1
     126: 1
     128: 1
     129: 1
     132: 1
     137: 1
     139: 1
     143: 1
     145: 1
     149: 1
     151: 1
     155: 1
     161: 1
     163: 1
     164: 1
     168: 1
     169: 1
     170: 1
     173: 1
     175: 1
     176: 1
     187: 1
     191: 1
     193: 1
     197: 1
     199: 1
     203: 1
     208: 1
     219: 1
     221: 1
     222: 1
     238: 1
     244: 1
     253: 1
     255: 1
     290: 1

291:   0: 1
       1: 1
       2: 1
       3: q+1
       4: 1
       5: 1
       6: q+1
       7: 1
       8: 1
       9: 1
      10: 1
      11: 1
      12: q+1
      13: 1
      14: q+1
      15: 1
      20: 1
      21: q+1
      22: 1
      23: 1
      24: 1
      26: 1
      27: 1
      28: 1
      29: q+1
      30: 1
      32: 1
      33: 1
      34: 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
      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: q+1
      67: 1
      69: 1
      70: 1
      71: 1
      75: 1
      76: 1
      77: 1
      81: 1
      82: 1
      86: 1
      87: 1
      88: 1
      89: 1
      93: 1
      98: 1
      99: 1
     100: 1
     102: 1
     103: 1
     104: 1
     106: 1
     107: 1
     108: 1
     112: 1
     113: 1
     114: 1
     118: 1
     119: 1
     121: 1
     124: 1
     125: 1
     126: 1
     132: 1
     136: 1
     140: 1
     142: 1
     146: 1
     148: 1
     152: 1
     154: 1
     159: 1
     160: 1
     161: 1
     165: 1
     166: 1
     168: 1
     171: 1
     172: 1
     173: 1
     188: 1
     190: 1
     194: 1
     196: 1
     200: 1
     202: 1
     209: 1
     217: 1
     218: 1
     219: 1
     239: 1
     245: 1
     252: 1
     256: 1
     291: 1

292:   0: 1
       1: 1
       2: 1
       4: 1
       5: 1
       7: 1
       8: 1
       9: 1
      10: 1
      11: 1
      13: 1
      15: 1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      20: 1
      22: 1
      23: 1
      24: 1
      25: q+1
      26: 1
      27: 1
      28: 1
      30: 1
      31: q+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
      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
      67: 1
      68: q+1
      72: 1
      73: 1
      74: 1
      78: 1
      79: 1
      80: 1
      83: 1
      84: 1
      85: 1
      87: 1
      88: 1
      90: 1
      94: 1
      98: 1
      99: 1
     101: 1
     102: 1
     103: 1
     105: 1
     109: 1
     110: 1
     111: 1
     115: 1
     116: 1
     117: 1
     120: 1
     122: 1
     123: 1
     127: 1
     128: 1
     129: 1
     132: 1
     137: 1
     141: 1
     143: 1
     147: 1
     149: 1
     153: 1
     155: 1
     162: 1
     163: 1
     164: 1
     167: 1
     169: 1
     170: 1
     174: 1
     175: 1
     176: 1
     189: 1
     191: 1
     195: 1
     197: 1
     201: 1
     203: 1
     210: 1
     220: 1
     221: 1
     222: 1
     240: 1
     246: 1
     253: 1
     257: 1
     292: 1

293:   0: 2q^2+5q+1
       1: 3q^2+4q+1
       2: 2q^2+5q+1
       3: 3q^2+4q+1
       4: 3q+1
       5: 3q+1
       6: 3q+1
       7: q^2+2q+1
       8: q^2+2q+1
       9: 3q+1
      10: 3q+1
      11: q^2+3q+1
      12: 3q+1
      13: q+1
      14: q^2+2q+1
      15: q^2+3q+1
      16: q^2+2q+1
      17: q+1
      18: 1
      19: 1
      20: q^2+4q+1
      21: 3q+1
      22: 2q+1
      23: 2q+1
      24: q+1
      25: 1
      26: 2q^2+5q+1
      27: 3q+1
      28: 3q+1
      29: 3q+1
      30: q^2+3q+1
      31: 1
      32: q^2+4q+1
      33: 3q+1
      34: 2q+1
      35: 2q+1
      36: q+1
      37: 1
      38: 3q+1
      39: q^2+2q+1
      40: 3q+1
      41: 2q+1
      42: q+1
      43: 2q+1
      44: 3q+1
      45: q^2+2q+1
      46: 3q+1
      47: 2q+1
      48: q+1
      49: 2q+1
      50: 3q+1
      51: 1
      52: 2q+1
      53: q+1
      54: 3q+1
      55: 2q+1
      56: 2q+1
      57: q+1
      58: 3q+1
      59: 2q+1
      60: 2q+1
      61: q+1
      62: 2q+1
      63: q^2+4q+1
      64: 2q+1
      65: 2q+1
      66: 3q+1
      67: q+1
      68: 1
      69: q^2+4q+1
      70: 3q+1
      71: 2q+1
      72: 2q+1
      73: q+1
      74: 1
      75: 2q+1
      76: q+1
      77: 2q+1
      78: 1
      79: 1
      80: q+1
      81: 2q+1
      82: q+1
      83: 2q+1
      84: 1
      85: 1
      86: q+1
      87: q+1
      88: 2q+1
      89: 3q+1
      90: 1
      91: q+1
      92: 1
      93: q+1
      94: 1
      95: 1
      96: 1
      97: q+1
      98: 2q+1
      99: q+1
     100: q+1
     101: 1
     102: 2q+1
     103: q+1
     104: q+1
     105: 1
     106: q+1
     107: q+1
     108: q+1
     109: q+1
     110: 1
     111: 1
     112: 2q+1
     113: q+1
     114: 2q+1
     115: q+1
     116: 1
     117: 1
     118: 2q+1
     119: q+1
     120: 2q+1
     121: q+1
     122: 1
     123: 1
     124: q+1
     125: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: q+1
     133: 1
     134: 1
     135: q+1
     136: q+1
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     142: q+1
     143: 1
     146: q+1
     147: 1
     148: q+1
     149: 1
     150: q+1
     151: 1
     154: 1
     155: 1
     156: 1
     157: 1
     159: 1
     160: 1
     161: q+1
     165: 1
     166: 1
     167: q+1
     171: q+1
     172: 1
     175: 1
     176: 1
     177: 1
     178: 1
     179: 1
     182: 1
     186: 1
     187: 1
     188: 1
     189: 1
     190: 1
     194: 1
     196: 1
     198: 1
     202: 1
     203: 1
     204: 1
     205: 1
     211: 1
     215: 1
     217: 1
     218: 1
     225: 1
     230: 1
     234: 1
     239: 1
     243: 1
     252: 1
     258: 1
     293: 1

294:   0: 1
       1: q+1
       2: 1
       3: q+1
       4: 1
       5: 1
       6: q^2+2q+1
       7: q+1
       8: q+1
       9: 1
      10: 1
      11: 1
      12: q^2+2q+1
      13: q+1
      15: 1
      17: q+1
      18: 1
      19: 1
      20: 1
      21: q+1
      22: 1
      23: 1
      24: 1
      25: 1
      26: 1
      27: 1
      28: 1
      29: q^2+2q+1
      30: 1
      31: 1
      32: 1
      33: q+1
      36: 1
      37: 1
      38: 1
      39: q+1
      40: 1
      41: 1
      42: q+1
      43: 1
      44: 1
      45: q+1
      46: 1
      47: 1
      48: q+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: q+1
      62: 1
      63: 1
      64: 1
      65: 1
      66: q+1
      67: 1
      68: 1
      69: 1
      70: q+1
      73: 1
      74: 1
      75: 1
      76: q+1
      78: 1
      79: 1
      81: 1
      82: q+1
      84: 1
      85: 1
      87: 1
      88: 1
      89: 1
      90: 1
      95: 1
      96: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     107: 1
     112: 1
     113: q+1
     116: 1
     117: 1
     118: 1
     119: q+1
     122: 1
     123: 1
     124: 1
     125: q+1
     128: 1
     129: 1
     131: 1
     132: 1
     133: 1
     134: 1
     136: 1
     142: 1
     143: 1
     148: 1
     149: 1
     154: 1
     155: 1
     156: 1
     157: 1
     159: 1
     160: 1
     165: 1
     166: 1
     171: 1
     172: q+1
     175: 1
     176: 1
     177: 1
     182: 1
     190: 1
     196: 1
     202: 1
     203: 1
     204: 1
     205: 1
     212: 1
     216: 1
     217: 1
     218: 1
     230: 1
     235: 1
     252: 1
     259: 1
     294: 1

295:   0: q+1
       1: 1
       2: q+1
       3: q+1
       4: q^2+3q+1
       5: q+1
       6: 1
       7: q+1
       8: q^2+q+1
       9: q^2+3q+1
      10: q+1
      11: q+1
      12: 1
      13: 1
      14: q^2+3q+1
      15: q+1
      16: q+1
      17: q+1
      18: 1
      19: 1
      20: 1
      21: 1
      22: q+1
      23: q+1
      24: 1
      25: 1
      26: q+1
      27: q^2+3q+1
      28: q+1
      29: 1
      30: q+1
      31: 1
      32: q+1
      33: 1
      34: q^2+3q+1
      35: q+1
      36: q+1
      37: 1
      38: q+1
      39: 1
      40: q+1
      41: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: q+1
      48: 1
      49: q+1
      50: 1
      51: 1
      52: 1
      53: 1
      54: q+1
      55: 1
      56: 1
      57: 1
      58: 1
      59: q+1
      60: 1
      61: 1
      62: 1
      63: 1
      64: q+1
      65: q+1
      66: 1
      67: 1
      68: 1
      69: q+1
      70: 1
      71: q^2+3q+1
      72: q+1
      73: q+1
      74: 1
      75: q+1
      76: 1
      77: q+1
      78: 1
      79: 1
      80: 1
      81: 1
      82: 1
      83: 1
      84: q+1
      85: 1
      86: q+1
      87: 1
      88: 1
      89: 1
      90: 1
      91: 1
      92: q+1
      93: q+1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: q+1
     109: q+1
     110: 1
     111: 1
     112: q+1
     113: 1
     114: q+1
     115: 1
     116: 1
     117: 1
     118: 1
     119: 1
     120: 1
     121: q+1
     122: q+1
     123: 1
     126: 1
     127: 1
     130: 1
     131: 1
     132: 1
     133: 1
     134: 1
     135: 1
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: 1
     146: q+1
     147: 1
     148: 1
     149: 1
     150: 1
     151: q+1
     158: 1
     159: 1
     160: 1
     161: 1
     168: 1
     169: 1
     170: 1
     173: 1
     174: 1
     177: 1
     178: 1
     179: 1
     186: 1
     187: 1
     188: 1
     189: 1
     190: 1
     194: 1
     197: 1
     199: 1
     206: 1
     213: 1
     214: 1
     219: 1
     225: 1
     236: 1
     239: 1
     244: 1
     260: 1
     295: 1

296:   0: q^2+3q+1
       1: q+1
       2: q^2+3q+1
       3: q+1
       4: 3q+1
       5: 3q+1
       6: 1
       7: q^2+2q+1
       8: q^2+2q+1
       9: 3q+1
      10: 3q+1
      11: 2q^2+5q+1
      12: 1
      13: 3q^2+4q+1
      14: q^2+2q+1
      15: 2q^2+5q+1
      16: q^2+2q+1
      17: 3q^2+4q+1
      18: 3q+1
      19: 3q+1
      20: q+1
      21: 1
      22: 2q+1
      23: 2q+1
      24: q^2+4q+1
      25: 3q+1
      26: q^2+3q+1
      27: 3q+1
      28: 3q+1
      29: 1
      30: 2q^2+5q+1
      31: 3q+1
      32: q+1
      33: 1
      34: 2q+1
      35: 2q+1
      36: q^2+4q+1
      37: 3q+1
      38: 2q+1
      39: q+1
      40: 2q+1
      41: 3q+1
      42: q^2+2q+1
      43: 3q+1
      44: 2q+1
      45: q+1
      46: 2q+1
      47: 3q+1
      48: q^2+2q+1
      49: 3q+1
      50: 1
      51: 3q+1
      52: q+1
      53: 2q+1
      54: 2q+1
      55: 3q+1
      56: q+1
      57: 2q+1
      58: 2q+1
      59: 3q+1
      60: 2q+1
      61: q+1
      62: 2q+1
      63: q+1
      64: 2q+1
      65: 2q+1
      66: 1
      67: q^2+4q+1
      68: 3q+1
      69: q+1
      70: 1
      71: 2q+1
      72: 2q+1
      73: q^2+4q+1
      74: 3q+1
      75: 1
      76: 1
      77: q+1
      78: 2q+1
      79: q+1
      80: 2q+1
      81: 1
      82: 1
      83: q+1
      84: 2q+1
      85: q+1
      86: 2q+1
      87: q+1
      88: 2q+1
      89: 1
      90: 3q+1
      91: 1
      92: q+1
      93: 1
      94: q+1
      95: 1
      96: 1
      97: q+1
      98: q+1
      99: 2q+1
     100: 1
     101: q+1
     102: q+1
     103: 2q+1
     104: 1
     105: q+1
     106: 1
     107: 1
     108: q+1
     109: q+1
     110: q+1
     111: q+1
     112: 1
     113: 1
     114: q+1
     115: 2q+1
     116: 2q+1
     117: q+1
     118: 1
     119: 1
     120: q+1
     121: 2q+1
     122: 2q+1
     123: q+1
     124: 1
     125: 1
     128: q+1
     129: 1
     130: 1
     131: 1
     132: q+1
     133: 1
     134: 1
     135: q+1
     136: 1
     137: q+1
     138: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: q+1
     146: 1
     147: q+1
     148: 1
     149: q+1
     150: 1
     151: q+1
     154: 1
     155: 1
     156: 1
     157: 1
     162: q+1
     163: 1
     164: 1
     168: q+1
     169: 1
     170: 1
     171: 1
     172: 1
     175: q+1
     176: 1
     177: 1
     178: 1
     179: 1
     182: 1
     186: 1
     187: 1
     188: 1
     189: 1
     191: 1
     195: 1
     197: 1
     199: 1
     202: 1
     203: 1
     204: 1
     205: 1
     211: 1
     215: 1
     221: 1
     222: 1
     225: 1
     230: 1
     234: 1
     240: 1
     244: 1
     253: 1
     262: 1
     296: 1

297:   0: q+1
       1: 1
       2: q+1
       3: q+1
       4: q+1
       5: q^2+3q+1
       6: 1
       7: q^2+q+1
       8: q+1
       9: q+1
      10: q^2+3q+1
      11: q+1
      12: 1
      13: 1
      14: q+1
      15: q+1
      16: q^2+3q+1
      17: q+1
      18: 1
      19: 1
      20: 1
      21: 1
      22: q+1
      23: q+1
      24: 1
      25: 1
      26: q+1
      27: q+1
      28: q^2+3q+1
      29: 1
      30: q+1
      31: 1
      32: q+1
      33: 1
      34: q+1
      35: q^2+3q+1
      36: q+1
      37: 1
      38: 1
      39: 1
      40: 1
      41: q+1
      42: 1
      43: q+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: q+1
      56: 1
      57: 1
      58: q+1
      59: 1
      60: 1
      61: 1
      62: 1
      63: 1
      64: q+1
      65: q+1
      66: 1
      67: 1
      68: 1
      69: q+1
      70: 1
      71: q+1
      72: q^2+3q+1
      73: q+1
      74: 1
      75: 1
      76: 1
      77: 1
      78: q+1
      79: 1
      80: q+1
      81: q+1
      82: 1
      83: q+1
      84: 1
      85: 1
      86: 1
      87: 1
      88: 1
      89: 1
      90: 1
      91: q+1
      92: 1
      93: 1
      94: q+1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: q+1
     109: q+1
     110: 1
     111: 1
     112: 1
     113: 1
     114: 1
     115: q+1
     116: q+1
     117: 1
     118: q+1
     119: 1
     120: q+1
     121: 1
     122: 1
     123: 1
     126: 1
     127: 1
     130: 1
     131: 1
     132: 1
     133: 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: q+1
     151: 1
     158: 1
     162: 1
     163: 1
     164: 1
     165: 1
     166: 1
     167: 1
     173: 1
     174: 1
     177: 1
     178: 1
     179: 1
     186: 1
     187: 1
     188: 1
     189: 1
     191: 1
     195: 1
     196: 1
     198: 1
     206: 1
     213: 1
     214: 1
     220: 1
     225: 1
     236: 1
     240: 1
     243: 1
     261: 1
     297: 1

298:   0: 1
       1: q+1
       2: 1
       3: q+1
       4: 1
       5: 1
       6: 1
       7: q+1
       8: q+1
       9: 1
      10: 1
      11: 1
      12: 1
      13: q+1
      15: 1
      17: q+1
      18: q^2+2q+1
      19: q^2+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: q^2+2q+1
      32: 1
      33: 1
      36: 1
      37: q+1
      38: 1
      39: q+1
      40: 1
      41: 1
      42: q+1
      43: 1
      44: 1
      45: q+1
      46: 1
      47: 1
      48: q+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: q+1
      62: 1
      63: 1
      64: 1
      65: 1
      66: 1
      67: 1
      68: q+1
      69: 1
      70: 1
      73: 1
      74: q+1
      75: 1
      76: 1
      78: 1
      79: q+1
      81: 1
      82: 1
      84: 1
      85: q+1
      87: 1
      88: 1
      89: 1
      90: 1
      95: 1
      96: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     110: 1
     111: 1
     112: 1
     113: 1
     116: 1
     117: q+1
     118: 1
     119: 1
     122: 1
     123: q+1
     124: 1
     125: 1
     128: 1
     129: q+1
     131: 1
     132: 1
     133: 1
     134: 1
     137: 1
     142: 1
     143: 1
     148: 1
     149: 1
     154: 1
     155: 1
     156: 1
     157: 1
     163: 1
     164: 1
     169: 1
     170: 1
     171: 1
     172: 1
     175: 1
     176: q+1
     177: 1
     182: 1
     191: 1
     197: 1
     202: 1
     203: 1
     204: 1
     205: 1
     212: 1
     216: 1
     221: 1
     222: 1
     230: 1
     235: 1
     253: 1
     263: 1
     298: 1

299:   0: 1
       2: 1
       3: 1
       4: 1
       5: 1
       9: 1
      10: 1
      11: 1
      14: 1
      15: 1
      16: 1
      17: 1
      26: 1
      27: 1
      28: 1
      30: 1
      32: 1
      34: 1
      35: 1
      36: 1
      38: 1
      40: 1
      41: 1
      43: 1
      44: 1
      46: 1
      47: 1
      49: 1
      54: 1
      55: 1
      58: 1
      59: 1
      60: 1
      62: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: 1
      77: 1
      78: 1
      80: 1
      81: 1
      83: 1
      84: 1
      86: 1
      88: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      97: 1
     112: 1
     114: 1
     115: 1
     116: 1
     118: 1
     120: 1
     121: 1
     122: 1
     124: 1
     126: 1
     127: 1
     128: 1
     130: 1
     133: 1
     135: 1
     144: 1
     145: 1
     146: 1
     147: 1
     150: 1
     151: 1
     152: 1
     153: 1
     156: 1
     158: 1
     171: 1
     173: 1
     174: 1
     175: 1
     178: 1
     180: 1
     181: 1
     204: 1
     206: 1
     207: 1
     208: 1
     209: 1
     210: 1
     211: 1
     213: 1
     214: 1
     215: 1
     226: 1
     228: 1
     231: 1
     234: 1
     236: 1
     241: 1
     242: 1
     247: 1
     248: 1
     268: 1
     271: 1
     274: 1
     275: 1
     299: 1

300:   0: 3q
       2: 3q
       3: q^2+2q
       4: 3q
       5: 3q
       9: 3q
      10: 3q
      11: 3q
      14: q^2+2q
      15: 3q
      16: q^2+2q
      17: q^2+2q
      26: 3q
      27: 3q
      28: 3q
      30: 3q
      32: 2q
      34: 2q
      35: 2q
      36: 2q
      38: 3q
      40: 3q
      41: 3q
      43: 3q
      44: 3q
      46: 3q
      47: 3q
      49: 3q
      54: 3q
      55: 3q
      58: 3q
      59: 3q
      60: 3q
      62: 3q
      69: 2q
      71: 2q
      72: 2q
      73: 2q
      75: 2q
      77: 2q
      78: 2q
      80: 2q
      81: 2q
      83: 2q
      84: 2q
      86: 2q
      88: 3q
      91: q
      92: q
      93: q
      94: q
      95: q
      97: q
     112: 2q
     114: 2q
     115: 2q
     116: 2q
     118: 2q
     120: 2q
     121: 2q
     122: 2q
     124: 2q
     126: 2q
     127: 2q
     128: 2q
     133: q
     135: q
     144: q
     145: q
     146: q
     147: q
     150: q
     151: q
     152: q
     153: q
     156: q
     158: q
     171: 2q
     173: 2q
     174: 2q
     175: 2q
     204: q
     206: q
     207: q
     208: q
     209: q
     210: q
     211: 1
     213: 1
     214: 1
     215: 1
     234: 1
     236: 1
     241: 1
     242: 1
     247: 1
     248: 1
     268: 1
     271: 1
     275: 1
     300: 1

301:   0: q^3+q
       2: q
       3: q^3+q
       4: q
       5: q
       9: q^3+q
      10: q^3+q
      11: q^3+q
      14: q^3+q
      15: q
      16: q^3+q
      17: q^3+q
      26: q
      27: q
      28: q
      30: q
      32: q^3+q
      34: q^3+q
      35: q^3+q
      36: q^3+q
      38: q
      40: q
      41: q
      43: q
      44: q
      46: q
      47: q
      49: q
      54: q
      55: q
      58: q
      59: q
      60: q
      62: q
      69: q
      71: q
      72: q
      73: q
      75: q
      77: q
      78: q
      80: q
      81: q
      83: q
      84: q
      86: q
      88: q
      91: q
      92: q
      93: q
      94: q
      95: q
      97: q
     112: q
     114: q
     115: q
     116: q
     118: q
     120: q
     121: q
     122: q
     124: q
     126: q
     127: q
     128: q
     130: q
     133: q
     135: q
     144: q
     145: q
     146: q
     147: q
     150: q
     151: q
     152: q
     153: q
     156: q
     158: q
     178: q
     180: q
     181: q
     274: 1
     301: 1

302:   0: 3q+1
       1: 3q+1
       2: q^2+2q+1
       3: 3q+1
       4: q^2+2q+1
       5: q^2+2q+1
       6: 3q+1
       7: q^2+2q+1
       8: q^2+2q+1
       9: q+1
      10: q+1
      11: 3q+1
      12: q^2+2q+1
      13: 3q+1
      14: q+1
      15: q^2+2q+1
      16: q+1
      17: 3q+1
      18: 3q+1
      19: q^2+2q+1
      20: 3q+1
      21: 3q+1
      22: q^2+2q+1
      23: q^2+2q+1
      24: 3q+1
      25: 3q+1
      26: 2q+1
      27: q+1
      28: q+1
      29: 2q+1
      30: 2q+1
      31: 2q+1
      32: 3q+1
      33: 3q+1
      34: q+1
      35: q+1
      36: 3q+1
      37: 3q+1
      38: 2q+1
      39: 2q+1
      40: q+1
      41: 2q+1
      42: 2q+1
      43: q+1
      44: 2q+1
      45: 2q+1
      46: q+1
      47: 2q+1
      48: 2q+1
      49: q+1
      50: 3q+1
      51: 3q+1
      52: 2q+1
      53: 2q+1
      54: q+1
      55: q+1
      56: 2q+1
      57: 2q+1
      58: q+1
      59: q+1
      60: 2q+1
      61: 2q+1
      62: q+1
      63: 2q+1
      64: q+1
      65: q+1
      66: 2q+1
      67: 2q+1
      68: 2q+1
      69: 2q+1
      70: 2q+1
      71: q+1
      72: q+1
      73: 2q+1
      74: 2q+1
      75: 2q+1
      76: 2q+1
      77: q+1
      78: 2q+1
      79: 2q+1
      80: q+1
      81: 2q+1
      82: 2q+1
      83: q+1
      84: 2q+1
      85: 2q+1
      86: q+1
      87: 2q+1
      88: q+1
      89: q+1
      90: q+1
      91: q+1
      92: q+1
      93: q+1
      94: q+1
      95: 2q+1
      96: 2q+1
      97: q+1
      98: q+1
      99: q+1
     100: 2q+1
     101: 2q+1
     102: q+1
     103: q+1
     104: 2q+1
     105: 2q+1
     106: 2q+1
     107: 2q+1
     108: q+1
     109: q+1
     110: 2q+1
     111: 2q+1
     112: 1
     113: q+1
     114: 1
     115: 1
     116: 1
     117: q+1
     118: 1
     119: q+1
     120: 1
     121: 1
     122: 1
     123: q+1
     124: q+1
     125: q+1
     128: q+1
     129: q+1
     130: q+1
     131: 2q+1
     132: q+1
     133: 1
     134: q+1
     135: 1
     136: q+1
     137: q+1
     138: q+1
     139: q+1
     140: q+1
     141: q+1
     142: 1
     143: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     151: 1
     154: q+1
     155: q+1
     156: q+1
     157: q+1
     159: 1
     160: q+1
     161: 1
     162: 1
     163: 1
     164: q+1
     165: 1
     166: q+1
     167: 1
     168: 1
     169: 1
     170: q+1
     171: 1
     172: 1
     175: 1
     176: 1
     177: 1
     178: 1
     179: q+1
     182: q+1
     183: 1
     184: q+1
     185: 1
     186: 1
     187: 1
     188: 1
     189: 1
     190: 1
     191: 1
     194: 1
     195: 1
     196: 1
     197: 1
     198: 1
     199: 1
     202: 1
     203: 1
     204: 1
     205: 1
     211: 1
     212: 1
     215: 1
     216: 1
     217: 1
     218: 1
     221: 1
     222: 1
     223: 1
     224: 1
     225: 1
     230: 1
     232: 1
     233: 1
     234: 1
     235: 1
     239: 1
     240: 1
     243: 1
     244: 1
     249: 1
     250: 1
     252: 1
     253: 1
     258: 1
     259: 1
     262: 1
     263: 1
     264: 1
     265: 1
     272: 1
     276: 1
     277: 1
     279: 1
     280: 1
     302: 1

303:   0: 2q+1
       1: 2q+1
       2: 2q+1
       3: q^2+q+1
       4: 2q+1
       5: 2q+1
       6: q^2+q+1
       7: 2q+1
       8: 2q+1
       9: 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: q^2+q+1
      22: 2q+1
      23: 2q+1
      24: 2q+1
      25: q^2+q+1
      26: 2q+1
      27: 2q+1
      28: 2q+1
      29: q^2+q+1
      30: 2q+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: q+1
      45: q+1
      46: q+1
      47: q+1
      48: q+1
      49: q+1
      50: q+1
      51: q+1
      52: 2q+1
      53: 2q+1
      54: 2q+1
      55: 2q+1
      56: q+1
      57: q+1
      58: q+1
      59: q+1
      60: q+1
      61: q+1
      62: q+1
      63: 2q+1
      64: 2q+1
      65: 2q+1
      66: q^2+q+1
      67: 2q+1
      68: q^2+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: q+1
      80: q+1
      81: 1
      82: 1
      83: 1
      84: 1
      85: 1
      86: 1
      87: q+1
      88: q+1
      89: q+1
      90: q+1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 2q+1
      99: 2q+1
     100: q+1
     101: q+1
     102: q+1
     103: q+1
     104: 1
     105: 1
     106: q+1
     107: q+1
     108: q+1
     109: q+1
     110: q+1
     111: q+1
     112: q+1
     113: q+1
     114: q+1
     115: q+1
     116: q+1
     117: q+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
     131: 1
     132: q+1
     133: 1
     134: 1
     135: 1
     136: q+1
     137: q+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
     151: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     159: q+1
     160: q+1
     161: q+1
     162: q+1
     163: q+1
     164: q+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
     182: 1
     183: 1
     184: 1
     185: 1
     186: 1
     187: 1
     188: 1
     189: 1
     190: q+1
     191: q+1
     192: 1
     193: 1
     194: 1
     195: 1
     196: 1
     197: 1
     198: 1
     199: 1
     202: 1
     203: 1
     204: 1
     205: 1
     206: 1
     207: 1
     208: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     223: 1
     224: 1
     225: 1
     226: 1
     227: 1
     230: 1
     237: 1
     238: 1
     239: 1
     240: 1
     243: 1
     244: 1
     249: 1
     250: 1
     251: 1
     252: 1
     253: 1
     254: 1
     255: 1
     264: 1
     266: 1
     267: 1
     272: 1
     289: 1
     290: 1
     303: 1

304:   0: q+1
       1: q^2+1
       2: q+1
       3: q+1
       4: q+1
       5: q+1
       6: q^2+1
       7: q^2+1
       8: q^2+1
       9: q+1
      10: q+1
      11: q+1
      12: q^2+1
      13: q^2+1
      14: q+1
      15: q+1
      16: q+1
      17: q+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^2+1
      30: q+1
      31: q^2+1
      32: q+1
      33: q^2+1
      34: q+1
      35: q+1
      36: q+1
      37: q^2+1
      38: q+1
      39: q^2+1
      40: q+1
      41: q+1
      42: q^2+1
      43: q+1
      44: 1
      45: 1
      46: 1
      47: 1
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: q+1
      55: q+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: q+1
      70: q^2+1
      71: q+1
      72: q+1
      73: q+1
      74: q^2+1
      75: q+1
      76: q^2+1
      77: q+1
      78: q+1
      79: q^2+1
      80: q+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: q+1
      94: q+1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: 1
     109: 1
     110: 1
     111: 1
     112: q+1
     113: q^2+1
     114: q+1
     115: q+1
     116: q+1
     117: q^2+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
     131: 1
     132: 1
     133: 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: q+1
     147: q+1
     148: 1
     149: 1
     150: 1
     151: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     161: 1
     162: 1
     163: 1
     164: 1
     171: 1
     172: 1
     173: 1
     174: 1
     175: 1
     176: 1
     177: 1
     178: 1
     179: 1
     180: 1
     182: 1
     186: 1
     187: 1
     188: 1
     189: 1
     190: 1
     191: 1
     192: 1
     193: 1
     194: 1
     195: 1
     202: 1
     203: 1
     204: 1
     205: 1
     206: 1
     207: 1
     208: 1
     211: 1
     212: 1
     213: 1
     214: 1
     215: 1
     216: 1
     225: 1
     226: 1
     227: 1
     230: 1
     232: 1
     233: 1
     234: 1
     235: 1
     236: 1
     237: 1
     238: 1
     239: 1
     240: 1
     241: 1
     242: 1
     265: 1
     266: 1
     268: 1
     281: 1
     282: 1
     304: 1

305:   0: q+1
       1: q+1
       2: q^2+2q+1
       3: q+1
       4: q+1
       5: q+1
       6: q+1
       7: q+1
       8: q+1
       9: q^2+2q+1
      10: q^2+2q+1
      11: q+1
      13: q+1
      14: q^2+2q+1
      15: q^2+2q+1
      16: q^2+2q+1
      17: 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
      30: q+1
      32: q+1
      33: q+1
      34: q^2+2q+1
      35: q^2+2q+1
      36: q+1
      37: q+1
      38: q+1
      39: q+1
      40: q^2+2q+1
      41: q+1
      42: q+1
      43: q^2+2q+1
      44: 1
      45: 1
      46: q+1
      47: 1
      48: 1
      49: q+1
      50: q+1
      51: q+1
      52: q+1
      53: q+1
      54: q+1
      55: q+1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: q+1
      63: q+1
      64: q+1
      65: q+1
      67: q+1
      69: q+1
      71: q+1
      72: q+1
      73: q+1
      75: q+1
      76: q+1
      77: q^2+2q+1
      78: q+1
      79: q+1
      80: q^2+2q+1
      81: 1
      82: 1
      83: q+1
      84: 1
      85: 1
      86: q+1
      87: 1
      88: 1
      91: 1
      92: 1
      93: q+1
      94: q+1
      95: 1
      96: 1
      97: q+1
      98: q+1
      99: q+1
     100: q+1
     101: q+1
     102: 1
     103: 1
     104: 1
     105: 1
     106: q+1
     108: q+1
     109: q+1
     110: q+1
     112: q+1
     114: q+1
     115: q+1
     116: q+1
     118: 1
     120: 1
     121: 1
     122: 1
     124: 1
     125: 1
     126: q+1
     127: q+1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 1
     135: 1
     138: 1
     139: 1
     140: q+1
     141: q+1
     144: 1
     145: 1
     146: q+1
     147: q+1
     150: 1
     151: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: q+1
     159: q+1
     161: q+1
     162: q+1
     163: q+1
     165: 1
     167: 1
     168: 1
     169: 1
     171: 1
     173: 1
     174: 1
     175: 1
     178: 1
     179: 1
     180: 1
     182: 1
     183: 1
     185: 1
     192: 1
     193: 1
     194: q+1
     195: q+1
     198: 1
     199: 1
     204: 1
     206: 1
     207: 1
     208: 1
     211: 1
     213: 1
     214: 1
     215: 1
     217: 1
     219: 1
     220: 1
     221: 1
     224: 1
     226: 1
     227: 1
     234: 1
     236: 1
     241: 1
     242: 1
     249: 1
     251: 1
     254: 1
     255: 1
     258: 1
     260: 1
     261: 1
     262: 1
     267: 1
     268: 1
     276: 1
     278: 1
     283: 1
     284: 1
     305: 1

306:   0: 2q+1
       1: 2q+1
       2: 2q+1
       3: q^2+q+1
       4: 2q+1
       5: 2q+1
       6: q^2+q+1
       7: 2q+1
       8: 2q+1
       9: 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: q^2+q+1
      22: 2q+1
      23: 2q+1
      24: 2q+1
      25: q^2+q+1
      26: 2q+1
      27: 2q+1
      28: 2q+1
      29: q^2+q+1
      30: 2q+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: 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: 2q+1
      49: 2q+1
      50: q+1
      51: q+1
      52: q+1
      53: q+1
      54: q+1
      55: q+1
      56: 2q+1
      57: 2q+1
      58: 2q+1
      59: 2q+1
      60: q+1
      61: q+1
      62: q+1
      63: 2q+1
      64: 2q+1
      65: 2q+1
      66: q^2+q+1
      67: 2q+1
      68: q^2+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: 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: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 1
      97: 1
      98: q+1
      99: q+1
     100: 1
     101: 1
     102: 2q+1
     103: 2q+1
     104: q+1
     105: q+1
     106: q+1
     107: q+1
     108: q+1
     109: q+1
     110: q+1
     111: q+1
     112: 1
     113: 1
     114: 1
     115: 1
     116: 1
     117: 1
     118: 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
     131: 1
     132: q+1
     133: 1
     134: 1
     135: 1
     136: q+1
     137: q+1
     138: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: 1
     146: 1
     147: 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: 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
     181: 1
     182: 1
     183: 1
     184: 1
     185: 1
     186: 1
     187: 1
     188: 1
     189: 1
     190: 1
     191: 1
     194: 1
     195: 1
     196: q+1
     197: q+1
     198: 1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     206: 1
     209: 1
     210: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     223: 1
     224: 1
     225: 1
     228: 1
     229: 1
     230: 1
     239: 1
     240: 1
     243: 1
     244: 1
     245: 1
     246: 1
     249: 1
     250: 1
     251: 1
     252: 1
     253: 1
     256: 1
     257: 1
     264: 1
     269: 1
     270: 1
     272: 1
     291: 1
     292: 1
     306: 1

307:   0: q+1
       1: q^2+1
       2: q+1
       3: q+1
       4: q+1
       5: q+1
       6: q^2+1
       7: q^2+1
       8: q^2+1
       9: q+1
      10: q+1
      11: q+1
      12: q^2+1
      13: q^2+1
      14: q+1
      15: q+1
      16: q+1
      17: q+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^2+1
      30: q+1
      31: q^2+1
      32: q+1
      33: q^2+1
      34: q+1
      35: q+1
      36: q+1
      37: q^2+1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: q+1
      45: q^2+1
      46: q+1
      47: q+1
      48: q^2+1
      49: q+1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: q+1
      59: q+1
      60: 1
      61: 1
      62: 1
      63: 1
      64: 1
      65: 1
      66: 1
      67: 1
      68: 1
      69: q+1
      70: q^2+1
      71: q+1
      72: q+1
      73: q+1
      74: q^2+1
      75: 1
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: q+1
      82: q^2+1
      83: q+1
      84: q+1
      85: q^2+1
      86: q+1
      87: 1
      88: 1
      89: 1
      90: 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
     103: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: 1
     109: 1
     110: 1
     111: 1
     112: 1
     113: 1
     114: 1
     115: 1
     116: 1
     117: 1
     118: q+1
     119: q^2+1
     120: q+1
     121: q+1
     122: q+1
     123: q^2+1
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 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: q+1
     151: q+1
     152: 1
     153: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 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
     181: 1
     182: 1
     186: 1
     187: 1
     188: 1
     189: 1
     196: 1
     197: 1
     198: 1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     206: 1
     209: 1
     210: 1
     211: 1
     212: 1
     213: 1
     214: 1
     215: 1
     216: 1
     225: 1
     228: 1
     229: 1
     230: 1
     232: 1
     233: 1
     234: 1
     235: 1
     236: 1
     243: 1
     244: 1
     245: 1
     246: 1
     247: 1
     248: 1
     265: 1
     269: 1
     271: 1
     285: 1
     286: 1
     307: 1

308:   0: q+1
       1: q+1
       2: q^2+2q+1
       3: q+1
       4: q+1
       5: q+1
       6: q+1
       7: q+1
       8: q+1
       9: q^2+2q+1
      10: q^2+2q+1
      11: q+1
      13: q+1
      14: q^2+2q+1
      15: q^2+2q+1
      16: q^2+2q+1
      17: 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
      30: q+1
      32: q+1
      33: q+1
      34: q^2+2q+1
      35: q^2+2q+1
      36: q+1
      37: q+1
      38: 1
      39: 1
      40: q+1
      41: 1
      42: 1
      43: q+1
      44: q+1
      45: q+1
      46: q^2+2q+1
      47: q+1
      48: q+1
      49: q^2+2q+1
      50: q+1
      51: q+1
      52: 1
      53: 1
      54: 1
      55: 1
      56: q+1
      57: q+1
      58: q+1
      59: q+1
      60: 1
      61: 1
      62: q+1
      63: q+1
      64: q+1
      65: q+1
      67: q+1
      69: q+1
      71: q+1
      72: q+1
      73: q+1
      75: 1
      76: 1
      77: q+1
      78: 1
      79: 1
      80: q+1
      81: q+1
      82: q+1
      83: q^2+2q+1
      84: q+1
      85: q+1
      86: q^2+2q+1
      87: 1
      88: 1
      91: q+1
      92: q+1
      93: 1
      94: 1
      95: 1
      96: 1
      97: q+1
      98: 1
      99: 1
     100: 1
     101: 1
     102: q+1
     103: q+1
     104: q+1
     105: q+1
     106: q+1
     108: q+1
     109: q+1
     110: q+1
     112: 1
     114: 1
     115: 1
     116: 1
     118: q+1
     120: q+1
     121: q+1
     122: q+1
     124: 1
     125: 1
     126: q+1
     127: q+1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 1
     135: 1
     138: q+1
     139: q+1
     140: 1
     141: 1
     146: 1
     147: 1
     150: q+1
     151: q+1
     152: 1
     153: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: q+1
     159: 1
     161: 1
     162: 1
     163: 1
     165: q+1
     167: q+1
     168: q+1
     169: q+1
     171: 1
     173: 1
     174: 1
     175: 1
     178: 1
     179: 1
     181: 1
     182: 1
     183: 1
     185: 1
     194: 1
     195: 1
     198: q+1
     199: q+1
     200: 1
     201: 1
     204: 1
     206: 1
     209: 1
     210: 1
     211: 1
     213: 1
     214: 1
     215: 1
     217: 1
     219: 1
     220: 1
     221: 1
     224: 1
     228: 1
     229: 1
     234: 1
     236: 1
     247: 1
     248: 1
     249: 1
     251: 1
     256: 1
     257: 1
     258: 1
     260: 1
     261: 1
     262: 1
     270: 1
     271: 1
     276: 1
     278: 1
     287: 1
     288: 1
     308: 1

309:   0: 5q+1
       1: q^2+3q+1
       2: 5q+1
       3: q^3+2q^2+2q+1
       4: 5q+1
       5: 5q+1
       6: q^2+q+1
       7: q^2+3q+1
       8: q^2+3q+1
       9: 5q+1
      10: 5q+1
      11: 5q+1
      12: q^2+q+1
      13: q^2+3q+1
      14: q^3+3q^2+3q+1
      15: 5q+1
      16: q^3+3q^2+3q+1
      17: q^3+2q^2+2q+1
      18: q^2+q+1
      19: q^2+q+1
      20: 3q+1
      21: q^2+q+1
      22: 3q+1
      23: 3q+1
      24: 3q+1
      25: q^2+q+1
      26: 5q+1
      27: 5q+1
      28: 5q+1
      29: q^2+q+1
      30: 5q+1
      31: q^2+q+1
      32: 2q+1
      33: q+1
      34: 3q+1
      35: 3q+1
      36: 2q+1
      37: q+1
      38: 5q+1
      39: q^2+3q+1
      40: 5q+1
      41: 5q+1
      42: q^2+3q+1
      43: 5q+1
      44: 5q+1
      45: q^2+3q+1
      46: 5q+1
      47: 5q+1
      48: q^2+3q+1
      49: 5q+1
      50: q+1
      51: q+1
      52: 3q+1
      53: 3q+1
      54: 5q+1
      55: 5q+1
      56: 3q+1
      57: 3q+1
      58: 5q+1
      59: 5q+1
      60: 5q+1
      61: q^2+3q+1
      62: 5q+1
      63: 3q+1
      64: 3q+1
      65: 3q+1
      66: q^2+q+1
      67: 3q+1
      68: q^2+q+1
      69: 2q+1
      70: q+1
      71: 3q+1
      72: 3q+1
      73: 2q+1
      74: q+1
      75: 2q+1
      76: q+1
      77: 3q+1
      78: 2q+1
      79: q+1
      80: 3q+1
      81: 2q+1
      82: q+1
      83: 3q+1
      84: 2q+1
      85: q+1
      86: 3q+1
      87: 3q+1
      88: 5q+1
      89: q+1
      90: q+1
      91: q+1
      92: q+1
      93: q+1
      94: q+1
      95: 1
      96: 1
      97: q+1
      98: 3q+1
      99: 3q+1
     100: q+1
     101: q+1
     102: 3q+1
     103: 3q+1
     104: q+1
     105: q+1
     106: 1
     107: 1
     108: q+1
     109: q+1
     110: 1
     111: 1
     112: 2q+1
     113: q+1
     114: 3q+1
     115: 3q+1
     116: 2q+1
     117: q+1
     118: 2q+1
     119: q+1
     120: 3q+1
     121: 3q+1
     122: 2q+1
     123: q+1
     124: 2q+1
     125: q+1
     126: 3q+1
     127: 3q+1
     128: 2q+1
     129: q+1
     130: 1
     131: 1
     132: 3q+1
     133: 1
     134: 1
     135: q+1
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     142: q+1
     143: q+1
     144: q+1
     145: q+1
     146: q+1
     147: q+1
     148: q+1
     149: q+1
     150: q+1
     151: q+1
     152: q+1
     153: q+1
     154: q+1
     155: q+1
     156: 1
     157: 1
     158: q+1
     159: 1
     160: 1
     161: q+1
     162: q+1
     163: 1
     164: 1
     165: 1
     166: 1
     167: q+1
     168: q+1
     169: 1
     170: 1
     171: 2q+1
     172: q+1
     173: 3q+1
     174: 3q+1
     175: 2q+1
     176: q+1
     177: 1
     178: 1
     179: 1
     180: 1
     181: 1
     182: 1
     186: 1
     187: 1
     188: 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: q+1
     203: q+1
     204: 1
     205: 1
     206: q+1
     207: q+1
     208: q+1
     209: q+1
     210: q+1
     217: 1
     218: 1
     219: q+1
     220: q+1
     221: 1
     222: 1
     225: 1
     226: 1
     227: 1
     228: 1
     229: 1
     230: 1
     231: 1
     237: 1
     238: 1
     239: 1
     240: 1
     243: 1
     244: 1
     245: 1
     246: 1
     252: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     266: 1
     269: 1
     273: 1
     274: 1
     289: 1
     290: 1
     291: 1
     292: 1
     309: 1

310:   0: 1
       1: 1
       2: q+1
       3: q^3+1
       4: 1
       5: 1
       6: q^3+1
       7: 1
       8: 1
       9: q+1
      10: q+1
      11: 1
      13: 1
      14: q^3+q+1
      15: q+1
      16: q^3+q+1
      17: q^3+1
      18: q^3+1
      20: 1
      21: q^3+1
      22: 1
      23: 1
      24: 1
      25: q^3+1
      26: 1
      27: 1
      28: 1
      30: 1
      32: 1
      33: 1
      34: q+1
      35: q+1
      36: 1
      37: 1
      38: 1
      39: 1
      40: q+1
      41: 1
      42: 1
      43: q+1
      44: 1
      45: 1
      46: q+1
      47: 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: 1
      61: 1
      62: q+1
      63: 1
      64: 1
      65: 1
      67: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: 1
      76: 1
      77: q+1
      78: 1
      79: 1
      80: q+1
      81: 1
      82: 1
      83: q+1
      84: 1
      85: 1
      86: q+1
      87: 1
      88: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 1
      97: q+1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: 1
     112: 1
     114: 1
     115: 1
     116: 1
     118: 1
     120: 1
     121: 1
     122: 1
     124: 1
     125: 1
     126: q+1
     127: q+1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 1
     135: 1
     138: 1
     139: 1
     140: 1
     141: 1
     144: 1
     145: 1
     146: 1
     147: 1
     150: 1
     151: 1
     152: 1
     153: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: q+1
     159: 1
     161: 1
     162: 1
     163: 1
     165: 1
     167: 1
     168: 1
     169: 1
     171: 1
     173: 1
     174: 1
     175: 1
     178: 1
     179: 1
     180: 1
     181: 1
     182: 1
     183: 1
     185: 1
     192: 1
     193: 1
     194: 1
     195: 1
     198: 1
     199: 1
     200: 1
     201: 1
     204: 1
     206: 1
     207: 1
     208: 1
     209: 1
     210: 1
     217: 1
     219: 1
     220: 1
     221: 1
     224: 1
     226: 1
     227: 1
     228: 1
     229: 1
     231: 1
     249: 1
     251: 1
     254: 1
     255: 1
     256: 1
     257: 1
     267: 1
     270: 1
     273: 1
     274: 1
     310: 1

311:   0: q+1
       1: q+1
       2: 2q+1
       3: q+1
       4: q+1
       5: q+1
       6: q+1
       7: q+1
       8: q+1
       9: 2q+1
      10: 2q+1
      11: q+1
      13: q+1
      14: 2q+1
      15: 2q+1
      16: 2q+1
      17: 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
      30: 1
      32: q+1
      33: q+1
      34: 2q+1
      35: 2q+1
      36: q+1
      37: q+1
      38: q+1
      39: q+1
      40: 2q+1
      41: q+1
      42: q+1
      43: 2q+1
      44: q+1
      45: q+1
      46: 2q+1
      47: q+1
      48: q+1
      49: 2q+1
      50: q+1
      51: q+1
      52: q+1
      53: q+1
      54: 1
      55: 1
      56: q+1
      57: q+1
      58: 1
      59: 1
      60: q+1
      61: q+1
      62: 2q+1
      63: 1
      64: 1
      65: 1
      67: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: q+1
      76: q+1
      77: 2q+1
      78: q+1
      79: q+1
      80: 2q+1
      81: q+1
      82: q+1
      83: 2q+1
      84: q+1
      85: q+1
      86: 2q+1
      87: q+1
      88: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: q+1
      96: q+1
      97: 2q+1
      98: 1
      99: 1
     100: q+1
     101: q+1
     102: 1
     103: 1
     104: q+1
     105: q+1
     106: 1
     108: 1
     109: 1
     110: 1
     112: 1
     114: 1
     115: 1
     116: 1
     118: 1
     120: 1
     121: 1
     122: 1
     124: q+1
     125: q+1
     126: 2q+1
     127: 2q+1
     128: q+1
     129: q+1
     130: 1
     131: q+1
     132: 1
     138: 1
     139: 1
     140: 1
     141: 1
     144: 1
     145: 1
     146: 1
     147: 1
     150: 1
     151: 1
     152: 1
     153: 1
     154: q+1
     155: q+1
     156: q+1
     157: q+1
     158: 2q+1
     159: 1
     161: 1
     162: 1
     163: 1
     165: 1
     167: 1
     168: 1
     169: 1
     171: 1
     173: 1
     174: 1
     175: 1
     179: 1
     180: 1
     181: 1
     182: q+1
     192: 1
     193: 1
     194: 1
     195: 1
     198: 1
     199: 1
     200: 1
     201: 1
     207: 1
     208: 1
     209: 1
     210: 1
     211: 1
     213: 1
     214: 1
     215: 1
     217: 1
     219: 1
     220: 1
     221: 1
     227: 1
     229: 1
     231: 1
     241: 1
     242: 1
     247: 1
     248: 1
     254: 1
     255: 1
     256: 1
     257: 1
     258: 1
     260: 1
     261: 1
     262: 1
     273: 1
     275: 1
     283: 1
     284: 1
     287: 1
     288: 1
     311: 1

312:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+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^2+2q+1
      12: q+1
      13: q^2+2q+1
      14: q^2+q+1
      15: q^2+2q+1
      16: q^2+q+1
      17: q+1
      18: q+1
      19: q+1
      20: q^2+2q+1
      21: q+1
      22: q+1
      23: q+1
      24: q^2+2q+1
      25: q+1
      26: q^2+2q+1
      27: q+1
      28: q+1
      29: q+1
      30: q^2+2q+1
      31: q+1
      32: q+1
      33: q+1
      34: q+1
      35: q+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^2+2q+1
      64: q+1
      65: q+1
      66: q+1
      67: q^2+2q+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: q+1
      81: 1
      82: 1
      83: q+1
      84: 1
      85: 1
      86: q+1
      87: q+1
      88: q+1
      89: q+1
      90: q+1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 1
      97: q+1
      98: q+1
      99: q+1
     100: 1
     101: 1
     102: q+1
     103: q+1
     104: 1
     105: 1
     106: q+1
     107: q+1
     108: q+1
     109: q+1
     110: q+1
     111: q+1
     112: 1
     113: 1
     114: q+1
     115: q+1
     116: 1
     117: 1
     118: 1
     119: 1
     120: q+1
     121: q+1
     122: 1
     123: 1
     124: 1
     125: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: q+1
     133: 1
     134: 1
     135: q+1
     136: q+1
     137: q+1
     138: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     151: 1
     154: 1
     155: 1
     156: 1
     157: 1
     159: 1
     160: 1
     161: q+1
     162: q+1
     163: 1
     164: 1
     165: 1
     166: 1
     167: q+1
     168: q+1
     169: 1
     170: 1
     171: 1
     172: 1
     175: 1
     176: 1
     177: 1
     178: 1
     179: 1
     182: 1
     183: 1
     184: 1
     185: q+1
     186: 1
     187: 1
     188: 1
     189: 1
     190: 1
     191: 1
     194: 1
     195: 1
     196: 1
     197: 1
     198: 1
     199: 1
     202: 1
     203: 1
     204: 1
     205: 1
     211: 1
     215: 1
     217: 1
     218: 1
     221: 1
     222: 1
     223: 1
     224: 1
     225: 1
     230: 1
     234: 1
     239: 1
     240: 1
     243: 1
     244: 1
     249: 1
     250: 1
     252: 1
     253: 1
     258: 1
     262: 1
     264: 1
     272: 1
     276: 1
     293: 1
     296: 1
     312: 1

313:   0: 1
       1: 1
       2: 1
       3: q+1
       4: 1
       5: 1
       6: q+1
       7: 1
       8: 1
       9: 1
      10: 1
      11: 1
      12: q+1
      13: 1
      15: 1
      17: q+1
      18: q+1
      19: q+1
      20: 1
      21: q+1
      22: 1
      23: 1
      24: 1
      25: q+1
      26: 1
      27: 1
      28: 1
      29: q+1
      30: 1
      31: q+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: 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: q+1
      67: 1
      68: q+1
      69: 1
      70: 1
      73: 1
      74: 1
      75: 1
      76: 1
      78: 1
      79: 1
      81: 1
      82: 1
      84: 1
      85: 1
      87: 1
      88: 1
      89: 1
      90: 1
      95: 1
      96: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     107: 1
     110: 1
     111: 1
     112: 1
     113: 1
     116: 1
     117: 1
     118: 1
     119: 1
     122: 1
     123: 1
     124: 1
     125: 1
     128: 1
     129: 1
     131: 1
     132: 1
     133: 1
     134: 1
     136: 1
     137: 1
     142: 1
     143: 1
     148: 1
     149: 1
     154: 1
     155: 1
     156: 1
     157: 1
     159: 1
     160: 1
     163: 1
     164: 1
     165: 1
     166: 1
     169: 1
     170: 1
     171: 1
     172: 1
     175: 1
     176: 1
     177: 1
     182: 1
     183: 1
     184: 1
     190: 1
     191: 1
     196: 1
     197: 1
     202: 1
     203: 1
     204: 1
     205: 1
     212: 1
     216: 1
     217: 1
     218: 1
     221: 1
     222: 1
     223: 1
     230: 1
     235: 1
     249: 1
     250: 1
     252: 1
     253: 1
     259: 1
     263: 1
     272: 1
     277: 1
     294: 1
     298: 1
     313: 1

314:   0: 1
       1: 1
       2: 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: q^2+q+1
      10: q^2+q+1
      11: 1
      12: 1
      13: 1
      14: q^2+q+1
      15: 1
      16: q^2+q+1
      17: 1
      18: 1
      19: 1
      20: 1
      21: 1
      22: q^2+q+1
      23: q^2+q+1
      24: 1
      25: 1
      26: 1
      27: q^2+q+1
      28: q^2+q+1
      29: 1
      30: 1
      31: 1
      32: 1
      33: 1
      34: q^2+q+1
      35: q^2+q+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: q^2+q+1
      65: q^2+q+1
      66: 1
      67: 1
      68: 1
      69: 1
      70: 1
      71: q^2+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: 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
     103: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: q^2+q+1
     109: q^2+q+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
     126: 1
     127: 1
     130: 1
     131: 1
     132: 1
     133: 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
     151: 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
     173: 1
     174: 1
     177: 1
     178: 1
     179: 1
     183: 1
     184: 1
     185: 1
     186: 1
     187: 1
     188: 1
     189: 1
     190: 1
     191: 1
     194: 1
     195: 1
     196: 1
     197: 1
     198: 1
     199: 1
     206: 1
     213: 1
     214: 1
     219: 1
     220: 1
     223: 1
     224: 1
     225: 1
     236: 1
     239: 1
     240: 1
     243: 1
     244: 1
     251: 1
     260: 1
     261: 1
     264: 1
     278: 1
     295: 1
     297: 1
     314: 1

315:   0: q+1
       1: 2q^2+q+1
       2: q+1
       3: q+1
       4: 1
       5: 1
       6: 2q^2+q+1
       7: q^2+1
       8: q^2+1
       9: 1
      10: 1
      11: q+1
      12: 2q^2+q+1
      13: 1
      14: 1
      15: q+1
      16: 1
      17: q+1
      18: 1
      19: 1
      20: q+1
      21: q+1
      22: 1
      23: 1
      24: 1
      25: 1
      26: q+1
      27: 1
      28: 1
      29: 2q^2+q+1
      30: q+1
      31: 1
      32: q+1
      33: 2q^2+q+1
      34: 1
      35: 1
      36: q+1
      37: 1
      38: 1
      39: q^2+1
      40: 1
      41: 1
      42: 1
      43: 1
      44: 1
      45: q^2+1
      46: 1
      47: 1
      48: 1
      49: 1
      50: q+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: q+1
      64: 1
      65: 1
      66: q+1
      67: 1
      68: 1
      69: q+1
      70: 2q^2+q+1
      71: 1
      72: 1
      73: q+1
      74: 1
      75: 1
      76: q^2+1
      77: 1
      78: 1
      79: 1
      80: 1
      81: 1
      82: q^2+1
      83: 1
      84: 1
      85: 1
      86: 1
      87: 1
      88: 1
      89: q+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
     103: 1
     104: 1
     105: 1
     106: q+1
     107: q+1
     108: 1
     109: 1
     110: 1
     111: 1
     112: 1
     113: q^2+1
     114: 1
     115: 1
     116: 1
     117: 1
     118: 1
     119: q^2+1
     120: 1
     121: 1
     122: 1
     123: 1
     124: 1
     125: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 1
     134: 1
     135: 1
     136: q+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
     151: 1
     154: 1
     155: 1
     156: 1
     157: 1
     159: 1
     160: 1
     161: 1
     165: 1
     166: 1
     167: 1
     171: 1
     172: 1
     175: 1
     176: 1
     177: 1
     178: 1
     179: 1
     182: 1
     186: 1
     187: 1
     188: 1
     189: 1
     190: 1
     194: 1
     196: 1
     198: 1
     202: 1
     203: 1
     204: 1
     205: 1
     211: 1
     212: 1
     215: 1
     216: 1
     217: 1
     218: 1
     225: 1
     230: 1
     232: 1
     233: 1
     234: 1
     235: 1
     239: 1
     243: 1
     252: 1
     258: 1
     259: 1
     265: 1
     279: 1
     293: 1
     294: 1
     315: 1

316:   0: q+1
       1: 1
       2: q+1
       3: q+1
       4: 1
       5: 1
       6: 1
       7: q^2+1
       8: q^2+1
       9: 1
      10: 1
      11: q+1
      12: 1
      13: 2q^2+q+1
      14: 1
      15: q+1
      16: 1
      17: q+1
      18: 2q^2+q+1
      19: 2q^2+q+1
      20: 1
      21: 1
      22: 1
      23: 1
      24: q+1
      25: q+1
      26: q+1
      27: 1
      28: 1
      29: 1
      30: q+1
      31: 2q^2+q+1
      32: q+1
      33: 1
      34: 1
      35: 1
      36: q+1
      37: 2q^2+q+1
      38: 1
      39: 1
      40: 1
      41: 1
      42: q^2+1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      48: q^2+1
      49: 1
      50: 1
      51: q+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: q+1
      68: q+1
      69: q+1
      70: 1
      71: 1
      72: 1
      73: q+1
      74: 2q^2+q+1
      75: 1
      76: 1
      77: 1
      78: 1
      79: q^2+1
      80: 1
      81: 1
      82: 1
      83: 1
      84: 1
      85: q^2+1
      86: 1
      87: 1
      88: 1
      89: 1
      90: q+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
     103: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: 1
     109: 1
     110: q+1
     111: q+1
     112: 1
     113: 1
     114: 1
     115: 1
     116: 1
     117: q^2+1
     118: 1
     119: 1
     120: 1
     121: 1
     122: 1
     123: q^2+1
     124: 1
     125: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 1
     134: 1
     135: 1
     136: 1
     137: q+1
     138: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     151: 1
     154: 1
     155: 1
     156: 1
     157: 1
     162: 1
     163: 1
     164: 1
     168: 1
     169: 1
     170: 1
     171: 1
     172: 1
     175: 1
     176: 1
     177: 1
     178: 1
     179: 1
     182: 1
     186: 1
     187: 1
     188: 1
     189: 1
     191: 1
     195: 1
     197: 1
     199: 1
     202: 1
     203: 1
     204: 1
     205: 1
     211: 1
     212: 1
     215: 1
     216: 1
     221: 1
     222: 1
     225: 1
     230: 1
     232: 1
     233: 1
     234: 1
     235: 1
     240: 1
     244: 1
     253: 1
     262: 1
     263: 1
     265: 1
     280: 1
     296: 1
     298: 1
     316: 1

317:   0: 3q+1
       1: q^2+2q+1
       2: 3q+1
       3: q^2+2q+1
       4: 3q+1
       5: q^2+3q+1
       6: q+1
       7: q^2+2q+1
       8: q+1
       9: 3q+1
      10: q^2+3q+1
      11: q^2+3q+1
      12: q+1
      13: q+1
      14: q^2+2q+1
      15: q^2+3q+1
      16: q^3+3q^2+3q+1
      17: q+1
      18: 1
      19: 1
      20: 2q+1
      21: q+1
      22: 2q+1
      23: q+1
      24: q+1
      25: 1
      26: 3q+1
      27: 3q+1
      28: q^2+3q+1
      29: q+1
      30: q^2+3q+1
      31: 1
      32: 2q+1
      33: q+1
      34: 2q+1
      35: q^2+3q+1
      36: q+1
      37: 1
      38: 3q+1
      39: q^2+2q+1
      40: 3q+1
      41: q^2+3q+1
      42: q+1
      43: q^2+3q+1
      44: 2q+1
      45: q+1
      46: 2q+1
      47: 2q+1
      48: q+1
      49: 2q+1
      50: q+1
      51: 1
      52: 2q+1
      53: q+1
      54: 3q+1
      55: q^2+3q+1
      56: q+1
      57: q+1
      58: 2q+1
      59: 2q+1
      60: 2q+1
      61: q+1
      62: 2q+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^2+3q+1
      73: q+1
      74: 1
      75: 2q+1
      76: q+1
      77: 2q+1
      78: q+1
      79: 1
      80: q^2+3q+1
      81: q+1
      82: 1
      83: 2q+1
      84: 1
      85: 1
      86: q+1
      87: q+1
      88: 2q+1
      89: q+1
      90: 1
      91: q+1
      92: 1
      93: q+1
      94: q+1
      95: 1
      96: 1
      97: q+1
      98: 2q+1
      99: q+1
     100: q+1
     101: 1
     102: q+1
     103: q+1
     104: 1
     105: 1
     106: 1
     107: 1
     108: q+1
     109: q+1
     110: 1
     111: 1
     112: 2q+1
     113: q+1
     114: 2q+1
     115: q^2+3q+1
     116: q+1
     117: 1
     118: q+1
     119: 1
     120: 2q+1
     121: q+1
     122: 1
     123: 1
     124: q+1
     125: 1
     126: q+1
     127: 2q+1
     128: 1
     129: 1
     130: 1
     131: 1
     132: q+1
     133: 1
     134: 1
     135: q+1
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     142: q+1
     143: 1
     144: q+1
     145: 1
     146: q+1
     147: q+1
     148: 1
     149: 1
     150: q+1
     151: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: q+1
     159: 1
     160: 1
     161: q+1
     162: q+1
     163: 1
     164: 1
     165: 1
     166: 1
     167: q+1
     171: q+1
     172: 1
     173: q+1
     174: 2q+1
     175: 1
     176: 1
     177: 1
     178: 1
     179: 1
     180: 1
     182: 1
     186: 1
     187: 1
     188: 1
     189: 1
     190: 1
     191: 1
     192: 1
     193: 1
     194: 1
     195: 1
     196: 1
     198: 1
     202: 1
     203: 1
     204: 1
     205: 1
     206: q+1
     207: q+1
     208: 1
     211: 1
     213: 1
     214: 1
     215: 1
     217: 1
     218: 1
     220: q+1
     225: 1
     226: 1
     227: 1
     230: 1
     234: 1
     236: 1
     237: 1
     238: 1
     239: 1
     240: 1
     241: 1
     242: 1
     243: 1
     252: 1
     254: 1
     258: 1
     261: 1
     266: 1
     268: 1
     283: 1
     289: 1
     293: 1
     297: 1
     317: 1

318:   0: q^2+3q+1
       1: q+1
       2: q^2+3q+1
       3: q+1
       4: q^2+3q+1
       5: 3q+1
       6: 1
       7: q+1
       8: q^2+2q+1
       9: q^2+3q+1
      10: 3q+1
      11: 3q+1
      12: 1
      13: q^2+2q+1
      14: q^3+3q^2+3q+1
      15: 3q+1
      16: q^2+2q+1
      17: q^2+2q+1
      18: q+1
      19: q+1
      20: q+1
      21: 1
      22: q+1
      23: 2q+1
      24: 2q+1
      25: q+1
      26: q^2+3q+1
      27: q^2+3q+1
      28: 3q+1
      29: 1
      30: 3q+1
      31: q+1
      32: q+1
      33: 1
      34: q^2+3q+1
      35: 2q+1
      36: 2q+1
      37: q+1
      38: q^2+3q+1
      39: q+1
      40: q^2+3q+1
      41: 3q+1
      42: q^2+2q+1
      43: 3q+1
      44: 2q+1
      45: q+1
      46: 2q+1
      47: 2q+1
      48: q+1
      49: 2q+1
      50: 1
      51: q+1
      52: q+1
      53: 2q+1
      54: q^2+3q+1
      55: 3q+1
      56: q+1
      57: q+1
      58: 2q+1
      59: 2q+1
      60: 2q+1
      61: q+1
      62: 2q+1
      63: q+1
      64: q+1
      65: 2q+1
      66: 1
      67: 2q+1
      68: q+1
      69: q+1
      70: 1
      71: q^2+3q+1
      72: 2q+1
      73: 2q+1
      74: q+1
      75: q+1
      76: 1
      77: q^2+3q+1
      78: 2q+1
      79: q+1
      80: 2q+1
      81: 1
      82: 1
      83: q+1
      84: q+1
      85: 1
      86: 2q+1
      87: q+1
      88: 2q+1
      89: 1
      90: q+1
      91: 1
      92: q+1
      93: q+1
      94: q+1
      95: 1
      96: 1
      97: q+1
      98: q+1
      99: 2q+1
     100: 1
     101: q+1
     102: q+1
     103: q+1
     104: 1
     105: 1
     106: 1
     107: 1
     108: q+1
     109: q+1
     110: 1
     111: 1
     112: q+1
     113: 1
     114: q^2+3q+1
     115: 2q+1
     116: 2q+1
     117: q+1
     118: 1
     119: 1
     120: q+1
     121: 2q+1
     122: q+1
     123: 1
     124: 1
     125: 1
     126: 2q+1
     127: q+1
     128: q+1
     129: 1
     130: 1
     131: 1
     132: q+1
     133: 1
     134: 1
     135: q+1
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: q+1
     144: 1
     145: q+1
     146: q+1
     147: q+1
     148: 1
     149: 1
     150: 1
     151: q+1
     154: 1
     155: 1
     156: 1
     157: 1
     158: q+1
     159: 1
     160: 1
     161: q+1
     162: q+1
     163: 1
     164: 1
     168: q+1
     169: 1
     170: 1
     171: 1
     172: 1
     173: 2q+1
     174: q+1
     175: q+1
     176: 1
     177: 1
     178: 1
     179: 1
     180: 1
     182: 1
     186: 1
     187: 1
     188: 1
     189: 1
     190: 1
     191: 1
     192: 1
     193: 1
     194: 1
     195: 1
     197: 1
     199: 1
     202: 1
     203: 1
     204: 1
     205: 1
     206: q+1
     207: 1
     208: q+1
     211: 1
     213: 1
     214: 1
     215: 1
     219: q+1
     221: 1
     222: 1
     225: 1
     226: 1
     227: 1
     230: 1
     234: 1
     236: 1
     237: 1
     238: 1
     239: 1
     240: 1
     241: 1
     242: 1
     244: 1
     253: 1
     255: 1
     260: 1
     262: 1
     266: 1
     268: 1
     284: 1
     290: 1
     295: 1
     296: 1
     318: 1

319:   0: q+1
       1: q+1
       2: 1
       3: q+1
       4: q+1
       5: 1
       6: q+1
       7: q+1
       8: 1
       9: 1
      10: q+1
      11: 1
      12: q^2+q+1
      13: 1
      14: 1
      15: q+1
      16: q+1
      17: 1
      18: 1
      20: q+1
      21: q+1
      22: q+1
      23: 1
      24: 1
      25: 1
      26: 1
      27: 1
      28: 1
      29: q+1
      30: 1
      32: q+1
      33: q+1
      34: 1
      35: q+1
      36: 1
      37: 1
      38: q+1
      39: q+1
      40: 1
      41: 1
      42: 1
      43: q+1
      44: 1
      45: 1
      46: 1
      47: 1
      48: 1
      49: 1
      50: q+1
      51: 1
      52: q+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: q+1
      67: 1
      69: 1
      70: q+1
      71: 1
      72: 1
      73: 1
      75: q+1
      76: q+1
      77: 1
      78: 1
      79: 1
      80: q+1
      81: 1
      82: 1
      83: 1
      84: 1
      85: 1
      86: 1
      87: 1
      88: 1
      89: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: q+1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     107: q+1
     108: 1
     109: 1
     110: 1
     112: 1
     113: q+1
     114: 1
     115: 1
     116: 1
     118: 1
     119: 1
     120: 1
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     136: 1
     138: 1
     139: 1
     140: 1
     141: 1
     142: 1
     144: 1
     145: 1
     146: 1
     147: 1
     148: 1
     150: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: q+1
     161: 1
     162: 1
     163: 1
     165: 1
     166: 1
     167: 1
     171: 1
     172: 1
     174: 1
     179: 1
     180: 1
     182: 1
     186: 1
     188: 1
     190: 1
     192: 1
     193: 1
     194: 1
     195: 1
     196: 1
     198: 1
     202: 1
     207: 1
     211: 1
     212: 1
     214: 1
     217: 1
     218: 1
     220: 1
     227: 1
     232: 1
     237: 1
     239: 1
     241: 1
     243: 1
     252: 1
     254: 1
     258: 1
     259: 1
     261: 1
     279: 1
     281: 1
     283: 1
     289: 1
     319: 1

320:   0: 1
       1: 1
       2: q+1
       3: 1
       4: 1
       5: q+1
       6: 1
       7: 1
       8: q+1
       9: q+1
      10: 1
      11: q+1
      13: q+1
      14: q+1
      15: 1
      16: 1
      17: q+1
      18: q+1
      19: q^2+q+1
      20: 1
      21: 1
      22: 1
      23: q+1
      24: q+1
      25: q+1
      26: 1
      27: 1
      28: 1
      30: 1
      31: q+1
      32: 1
      33: 1
      34: q+1
      35: 1
      36: q+1
      37: q+1
      38: 1
      39: 1
      40: q+1
      41: q+1
      42: q+1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      48: 1
      49: 1
      50: 1
      51: q+1
      52: 1
      53: q+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
      67: 1
      68: q+1
      69: 1
      71: 1
      72: 1
      73: 1
      74: q+1
      75: 1
      76: 1
      77: q+1
      78: q+1
      79: q+1
      80: 1
      81: 1
      82: 1
      83: 1
      84: 1
      85: 1
      86: 1
      87: 1
      88: 1
      90: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: q+1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: 1
     111: q+1
     112: 1
     114: 1
     115: 1
     116: 1
     117: q+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
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     143: 1
     144: 1
     145: 1
     146: 1
     147: 1
     149: 1
     151: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     159: 1
     161: 1
     162: 1
     163: 1
     164: q+1
     168: 1
     169: 1
     170: 1
     173: 1
     175: 1
     176: 1
     179: 1
     180: 1
     182: 1
     187: 1
     189: 1
     191: 1
     192: 1
     193: 1
     194: 1
     195: 1
     197: 1
     199: 1
     203: 1
     208: 1
     213: 1
     215: 1
     216: 1
     219: 1
     221: 1
     222: 1
     227: 1
     233: 1
     238: 1
     240: 1
     242: 1
     244: 1
     253: 1
     255: 1
     260: 1
     262: 1
     263: 1
     280: 1
     282: 1
     284: 1
     290: 1
     320: 1

321:   0: 3q+1
       1: q^2+2q+1
       2: 3q+1
       3: q^2+2q+1
       4: q^2+3q+1
       5: 3q+1
       6: q+1
       7: q+1
       8: q^2+2q+1
       9: q^2+3q+1
      10: 3q+1
      11: q^2+3q+1
      12: q+1
      13: q+1
      14: q^3+3q^2+3q+1
      15: q^2+3q+1
      16: q^2+2q+1
      17: q+1
      18: 1
      19: 1
      20: 2q+1
      21: q+1
      22: q+1
      23: 2q+1
      24: q+1
      25: 1
      26: 3q+1
      27: q^2+3q+1
      28: 3q+1
      29: q+1
      30: q^2+3q+1
      31: 1
      32: 2q+1
      33: q+1
      34: q^2+3q+1
      35: 2q+1
      36: q+1
      37: 1
      38: 2q+1
      39: q+1
      40: 2q+1
      41: 2q+1
      42: q+1
      43: 2q+1
      44: 3q+1
      45: q^2+2q+1
      46: 3q+1
      47: q^2+3q+1
      48: q+1
      49: q^2+3q+1
      50: q+1
      51: 1
      52: q+1
      53: q+1
      54: 2q+1
      55: 2q+1
      56: 2q+1
      57: q+1
      58: 3q+1
      59: q^2+3q+1
      60: 2q+1
      61: q+1
      62: 2q+1
      63: 2q+1
      64: q+1
      65: 2q+1
      66: q+1
      67: q+1
      68: 1
      69: 2q+1
      70: q+1
      71: q^2+3q+1
      72: 2q+1
      73: q+1
      74: 1
      75: q+1
      76: 1
      77: 2q+1
      78: 1
      79: 1
      80: q+1
      81: 2q+1
      82: q+1
      83: 2q+1
      84: q+1
      85: 1
      86: q^2+3q+1
      87: q+1
      88: 2q+1
      89: q+1
      90: 1
      91: q+1
      92: q+1
      93: q+1
      94: 1
      95: 1
      96: 1
      97: q+1
      98: q+1
      99: q+1
     100: 1
     101: 1
     102: 2q+1
     103: q+1
     104: q+1
     105: 1
     106: 1
     107: 1
     108: q+1
     109: q+1
     110: 1
     111: 1
     112: q+1
     113: 1
     114: 2q+1
     115: q+1
     116: 1
     117: 1
     118: 2q+1
     119: q+1
     120: 2q+1
     121: q^2+3q+1
     122: q+1
     123: 1
     124: q+1
     125: 1
     126: 2q+1
     127: q+1
     128: 1
     129: 1
     130: 1
     131: 1
     132: q+1
     133: 1
     134: 1
     135: q+1
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: 1
     146: q+1
     147: 1
     148: q+1
     149: 1
     150: q+1
     151: q+1
     152: q+1
     153: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: q+1
     159: 1
     160: 1
     161: q+1
     165: 1
     166: 1
     167: q+1
     168: q+1
     169: 1
     170: 1
     171: q+1
     172: 1
     173: 2q+1
     174: q+1
     175: 1
     176: 1
     177: 1
     178: 1
     179: 1
     181: 1
     182: 1
     186: 1
     187: 1
     188: 1
     189: 1
     190: 1
     194: 1
     196: 1
     197: 1
     198: 1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     206: q+1
     209: q+1
     210: 1
     211: 1
     213: 1
     214: 1
     215: 1
     217: 1
     218: 1
     219: q+1
     225: 1
     228: 1
     229: 1
     230: 1
     234: 1
     236: 1
     239: 1
     243: 1
     244: 1
     245: 1
     246: 1
     247: 1
     248: 1
     252: 1
     256: 1
     258: 1
     260: 1
     269: 1
     271: 1
     287: 1
     291: 1
     293: 1
     295: 1
     321: 1

322:   0: q^2+3q+1
       1: q+1
       2: q^2+3q+1
       3: q+1
       4: 3q+1
       5: q^2+3q+1
       6: 1
       7: q^2+2q+1
       8: q+1
       9: 3q+1
      10: q^2+3q+1
      11: 3q+1
      12: 1
      13: q^2+2q+1
      14: q^2+2q+1
      15: 3q+1
      16: q^3+3q^2+3q+1
      17: q^2+2q+1
      18: q+1
      19: q+1
      20: q+1
      21: 1
      22: 2q+1
      23: q+1
      24: 2q+1
      25: q+1
      26: q^2+3q+1
      27: 3q+1
      28: q^2+3q+1
      29: 1
      30: 3q+1
      31: q+1
      32: q+1
      33: 1
      34: 2q+1
      35: q^2+3q+1
      36: 2q+1
      37: q+1
      38: 2q+1
      39: q+1
      40: 2q+1
      41: 2q+1
      42: q+1
      43: 2q+1
      44: q^2+3q+1
      45: q+1
      46: q^2+3q+1
      47: 3q+1
      48: q^2+2q+1
      49: 3q+1
      50: 1
      51: q+1
      52: q+1
      53: q+1
      54: 2q+1
      55: 2q+1
      56: q+1
      57: 2q+1
      58: q^2+3q+1
      59: 3q+1
      60: 2q+1
      61: q+1
      62: 2q+1
      63: q+1
      64: 2q+1
      65: q+1
      66: 1
      67: 2q+1
      68: q+1
      69: q+1
      70: 1
      71: 2q+1
      72: q^2+3q+1
      73: 2q+1
      74: q+1
      75: 1
      76: 1
      77: q+1
      78: q+1
      79: 1
      80: 2q+1
      81: q+1
      82: 1
      83: q^2+3q+1
      84: 2q+1
      85: q+1
      86: 2q+1
      87: q+1
      88: 2q+1
      89: 1
      90: q+1
      91: q+1
      92: q+1
      93: 1
      94: q+1
      95: 1
      96: 1
      97: q+1
      98: q+1
      99: q+1
     100: 1
     101: 1
     102: q+1
     103: 2q+1
     104: 1
     105: q+1
     106: 1
     107: 1
     108: q+1
     109: q+1
     110: 1
     111: 1
     112: 1
     113: 1
     114: q+1
     115: 2q+1
     116: q+1
     117: 1
     118: q+1
     119: 1
     120: q^2+3q+1
     121: 2q+1
     122: 2q+1
     123: q+1
     124: 1
     125: 1
     126: q+1
     127: 2q+1
     128: q+1
     129: 1
     130: 1
     131: 1
     132: q+1
     133: 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: q+1
     148: 1
     149: q+1
     150: q+1
     151: q+1
     152: 1
     153: q+1
     154: 1
     155: 1
     156: 1
     157: 1
     158: q+1
     162: q+1
     163: 1
     164: 1
     165: 1
     166: 1
     167: q+1
     168: q+1
     169: 1
     170: 1
     171: 1
     172: 1
     173: q+1
     174: 2q+1
     175: q+1
     176: 1
     177: 1
     178: 1
     179: 1
     181: 1
     182: 1
     186: 1
     187: 1
     188: 1
     189: 1
     191: 1
     195: 1
     196: 1
     197: 1
     198: 1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     206: q+1
     209: 1
     210: q+1
     211: 1
     213: 1
     214: 1
     215: 1
     220: q+1
     221: 1
     222: 1
     225: 1
     228: 1
     229: 1
     230: 1
     234: 1
     236: 1
     240: 1
     243: 1
     244: 1
     245: 1
     246: 1
     247: 1
     248: 1
     253: 1
     257: 1
     261: 1
     262: 1
     269: 1
     271: 1
     288: 1
     292: 1
     296: 1
     297: 1
     322: 1

323:   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: q+1
      10: 1
      11: 1
      12: q^2+q+1
      13: 1
      14: q+1
      15: q+1
      16: 1
      17: 1
      18: 1
      20: q+1
      21: q+1
      22: 1
      23: q+1
      24: 1
      25: 1
      26: 1
      27: 1
      28: 1
      29: q+1
      30: 1
      32: q+1
      33: q+1
      34: q+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
      46: 1
      47: 1
      48: 1
      49: q+1
      50: q+1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: q+1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: 1
      63: 1
      64: 1
      65: 1
      66: q+1
      67: 1
      69: 1
      70: q+1
      71: 1
      72: 1
      73: 1
      75: 1
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: q+1
      82: q+1
      83: 1
      84: 1
      85: 1
      86: q+1
      87: 1
      88: 1
      89: 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
     103: 1
     104: q+1
     105: 1
     106: 1
     107: q+1
     108: 1
     109: 1
     110: 1
     112: 1
     113: 1
     114: 1
     118: 1
     119: q+1
     120: 1
     121: 1
     122: 1
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     136: 1
     138: 1
     139: 1
     140: 1
     141: 1
     142: 1
     146: 1
     148: 1
     150: 1
     151: 1
     152: 1
     153: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     161: 1
     165: 1
     166: q+1
     167: 1
     168: 1
     169: 1
     171: 1
     172: 1
     173: 1
     179: 1
     181: 1
     182: 1
     186: 1
     188: 1
     190: 1
     194: 1
     196: 1
     198: 1
     199: 1
     200: 1
     201: 1
     202: 1
     209: 1
     211: 1
     212: 1
     213: 1
     217: 1
     218: 1
     219: 1
     229: 1
     232: 1
     239: 1
     243: 1
     245: 1
     247: 1
     252: 1
     256: 1
     258: 1
     259: 1
     260: 1
     279: 1
     285: 1
     287: 1
     291: 1
     323: 1

324:   0: 1
       1: 1
       2: q+1
       3: 1
       4: q+1
       5: 1
       6: 1
       7: q+1
       8: 1
       9: 1
      10: q+1
      11: q+1
      13: q+1
      14: 1
      15: 1
      16: q+1
      17: q+1
      18: q+1
      19: q^2+q+1
      20: 1
      21: 1
      22: q+1
      23: 1
      24: q+1
      25: q+1
      26: 1
      27: 1
      28: 1
      30: 1
      31: q+1
      32: 1
      33: 1
      34: 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: q+1
      47: q+1
      48: q+1
      49: 1
      50: 1
      51: q+1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: q+1
      58: 1
      59: 1
      60: 1
      61: 1
      62: 1
      63: 1
      64: 1
      65: 1
      67: 1
      68: q+1
      69: 1
      71: 1
      72: 1
      73: 1
      74: q+1
      75: 1
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: 1
      82: 1
      83: q+1
      84: q+1
      85: q+1
      86: 1
      87: 1
      88: 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
     103: 1
     104: 1
     105: q+1
     106: 1
     108: 1
     109: 1
     110: 1
     111: q+1
     115: 1
     116: 1
     117: 1
     118: 1
     120: 1
     121: 1
     122: 1
     123: q+1
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     143: 1
     147: 1
     149: 1
     150: 1
     151: 1
     152: 1
     153: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     162: 1
     163: 1
     164: 1
     165: 1
     167: 1
     168: 1
     169: 1
     170: q+1
     174: 1
     175: 1
     176: 1
     179: 1
     181: 1
     182: 1
     187: 1
     189: 1
     191: 1
     195: 1
     197: 1
     198: 1
     199: 1
     200: 1
     201: 1
     203: 1
     210: 1
     214: 1
     215: 1
     216: 1
     220: 1
     221: 1
     222: 1
     229: 1
     233: 1
     240: 1
     244: 1
     246: 1
     248: 1
     253: 1
     257: 1
     261: 1
     262: 1
     263: 1
     280: 1
     286: 1
     288: 1
     292: 1
     324: 1

325:   0: q^2+3q+1
       1: q^2+2q+1
       2: 3q+1
       3: q^3+3q^2+3q+1
       4: q^2+3q+1
       5: q^2+3q+1
       6: q^2+2q+1
       7: q^2+2q+1
       8: q^2+2q+1
       9: 3q+1
      10: 3q+1
      11: q^2+3q+1
      12: q^3+2q^2+2q+1
      13: q^2+2q+1
      14: q^2+2q+1
      15: 3q+1
      16: q^2+2q+1
      17: q+1
      18: q^3+q^2+q+1
      20: 2q+1
      21: q^2+2q+1
      22: 2q+1
      23: 2q+1
      24: 2q+1
      25: q+1
      26: 2q+1
      27: 2q+1
      28: 2q+1
      29: q^2+2q+1
      30: 2q+1
      32: q^2+3q+1
      33: 2q+1
      34: 2q+1
      35: 2q+1
      36: q+1
      37: q^2+q+1
      38: q^2+3q+1
      39: q^2+2q+1
      40: 3q+1
      41: q^2+3q+1
      42: q^2+2q+1
      43: 3q+1
      44: q^2+3q+1
      45: q^2+2q+1
      46: 3q+1
      47: q^2+3q+1
      48: q^2+2q+1
      49: 3q+1
      50: 2q+1
      51: q+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: q^2+3q+1
      61: q^2+2q+1
      62: 3q+1
      63: q+1
      64: q+1
      65: q+1
      66: q^2+2q+1
      67: q+1
      69: 2q+1
      70: 2q+1
      71: q+1
      72: q+1
      73: 1
      75: q^2+3q+1
      76: 2q+1
      77: 2q+1
      78: q+1
      79: q^2+q+1
      80: 2q+1
      81: q^2+3q+1
      82: 2q+1
      83: 2q+1
      84: q+1
      85: q^2+q+1
      86: 2q+1
      87: 2q+1
      88: 2q+1
      89: q+1
      91: q+1
      92: 1
      93: q+1
      94: 1
      95: q+1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     100: 2q+1
     101: q+1
     102: q+1
     103: q+1
     104: 2q+1
     105: q+1
     106: 1
     107: q+1
     108: 1
     109: 1
     110: 1
     112: 2q+1
     113: 2q+1
     114: q+1
     115: q+1
     116: 1
     118: 2q+1
     119: 2q+1
     120: q+1
     121: q+1
     122: 1
     124: q^2+3q+1
     125: 2q+1
     126: 2q+1
     127: 2q+1
     128: q+1
     129: q^2+q+1
     130: 1
     131: q+1
     132: q+1
     136: 1
     138: 1
     139: 1
     140: 1
     141: 1
     142: q+1
     144: q+1
     145: 1
     146: q+1
     147: 1
     148: q+1
     150: q+1
     151: 1
     152: q+1
     153: 1
     154: 2q+1
     155: q+1
     156: q+1
     157: q+1
     158: q+1
     159: 1
     160: q+1
     161: 1
     162: 1
     163: 1
     165: 1
     166: q+1
     167: 1
     168: 1
     169: 1
     171: 2q+1
     172: 2q+1
     173: q+1
     174: q+1
     175: 1
     179: 1
     180: 1
     181: 1
     182: q+1
     186: 1
     188: 1
     190: 1
     192: 1
     193: 1
     194: 1
     195: 1
     196: 1
     198: 1
     199: 1
     200: 1
     201: 1
     202: q+1
     207: q+1
     208: 1
     209: q+1
     210: 1
     211: 1
     212: q+1
     213: 1
     214: 1
     215: 1
     217: 1
     218: q+1
     219: 1
     220: 1
     221: 1
     227: 1
     229: 1
     231: 1
     232: 1
     237: 1
     239: 1
     241: 1
     242: 1
     243: 1
     245: 1
     247: 1
     248: 1
     252: 1
     254: 1
     255: 1
     256: 1
     257: 1
     273: 1
     275: 1
     281: 1
     285: 1
     289: 1
     291: 1
     325: 1

326:   0: q^2+3q+1
       1: q^2+2q+1
       2: 3q+1
       3: q+1
       4: q^2+3q+1
       5: q^2+3q+1
       6: q^3+q^2+q+1
       7: q^2+2q+1
       8: q^2+2q+1
       9: 3q+1
      10: 3q+1
      11: q^2+3q+1
      13: q^2+2q+1
      14: q^2+2q+1
      15: 3q+1
      16: q^2+2q+1
      17: q^3+3q^2+3q+1
      18: q^2+2q+1
      19: q^3+2q^2+2q+1
      20: 2q+1
      21: q+1
      22: 2q+1
      23: 2q+1
      24: 2q+1
      25: q^2+2q+1
      26: 2q+1
      27: 2q+1
      28: 2q+1
      30: 2q+1
      31: q^2+2q+1
      32: q+1
      33: q^2+q+1
      34: 2q+1
      35: 2q+1
      36: q^2+3q+1
      37: 2q+1
      38: q^2+3q+1
      39: q^2+2q+1
      40: 3q+1
      41: q^2+3q+1
      42: q^2+2q+1
      43: 3q+1
      44: q^2+3q+1
      45: q^2+2q+1
      46: 3q+1
      47: q^2+3q+1
      48: q^2+2q+1
      49: 3q+1
      50: q+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: q^2+3q+1
      61: q^2+2q+1
      62: 3q+1
      63: q+1
      64: q+1
      65: q+1
      67: q+1
      68: q^2+2q+1
      69: 1
      71: q+1
      72: q+1
      73: 2q+1
      74: 2q+1
      75: q+1
      76: q^2+q+1
      77: 2q+1
      78: q^2+3q+1
      79: 2q+1
      80: 2q+1
      81: q+1
      82: q^2+q+1
      83: 2q+1
      84: q^2+3q+1
      85: 2q+1
      86: 2q+1
      87: 2q+1
      88: 2q+1
      90: q+1
      91: 1
      92: q+1
      93: 1
      94: q+1
      95: q+1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     100: q+1
     101: 2q+1
     102: q+1
     103: q+1
     104: q+1
     105: 2q+1
     106: 1
     108: 1
     109: 1
     110: 1
     111: q+1
     112: 1
     114: q+1
     115: q+1
     116: 2q+1
     117: 2q+1
     118: 1
     120: q+1
     121: q+1
     122: 2q+1
     123: 2q+1
     124: q+1
     125: q^2+q+1
     126: 2q+1
     127: 2q+1
     128: q^2+3q+1
     129: 2q+1
     130: 1
     131: q+1
     132: q+1
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     143: q+1
     144: 1
     145: q+1
     146: 1
     147: q+1
     149: q+1
     150: 1
     151: q+1
     152: 1
     153: q+1
     154: q+1
     155: 2q+1
     156: q+1
     157: q+1
     158: q+1
     159: 1
     161: 1
     162: 1
     163: 1
     164: q+1
     165: 1
     167: 1
     168: 1
     169: 1
     170: q+1
     171: 1
     173: q+1
     174: q+1
     175: 2q+1
     176: 2q+1
     179: 1
     180: 1
     181: 1
     182: q+1
     187: 1
     189: 1
     191: 1
     192: 1
     193: 1
     194: 1
     195: 1
     197: 1
     198: 1
     199: 1
     200: 1
     201: 1
     203: q+1
     207: 1
     208: q+1
     209: 1
     210: q+1
     211: 1
     213: 1
     214: 1
     215: 1
     216: q+1
     217: 1
     219: 1
     220: 1
     221: 1
     222: q+1
     227: 1
     229: 1
     231: 1
     233: 1
     238: 1
     240: 1
     241: 1
     242: 1
     244: 1
     246: 1
     247: 1
     248: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     273: 1
     275: 1
     282: 1
     286: 1
     290: 1
     292: 1
     326: 1

327:   0: 1
       1: 1
       2: q+1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
       8: 1
       9: q+1
      10: q+1
      11: 1
      13: 1
      14: q+1
      15: q+1
      16: q+1
      17: 1
      18: 1
      20: 1
      21: 1
      22: 1
      23: 1
      24: 1
      25: 1
      26: 1
      27: 1
      28: 1
      30: 1
      32: 1
      33: 1
      34: q+1
      35: q+1
      36: 1
      37: 1
      38: 1
      39: 1
      40: q+1
      41: 1
      42: 1
      43: q+1
      44: 1
      45: 1
      46: q+1
      47: 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: 1
      61: 1
      62: q+1
      63: 1
      64: 1
      65: 1
      67: 1
      69: 1
      71: 1
      72: 1
      73: 1
      75: 1
      76: 1
      77: q+1
      78: 1
      79: 1
      80: q+1
      81: 1
      82: 1
      83: q+1
      84: 1
      85: 1
      86: q+1
      87: 1
      88: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 1
      97: q+1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: 1
     112: 1
     114: 1
     115: 1
     116: 1
     118: 1
     120: 1
     121: 1
     122: 1
     124: 1
     125: 1
     126: q+1
     127: q+1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 1
     135: 1
     138: 1
     139: 1
     140: 1
     141: 1
     144: 1
     145: 1
     146: 1
     147: 1
     150: 1
     151: 1
     152: 1
     153: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: q+1
     159: 1
     161: 1
     162: 1
     163: 1
     165: 1
     167: 1
     168: 1
     169: 1
     171: 1
     173: 1
     174: 1
     175: 1
     178: 1
     179: 1
     180: 1
     181: 1
     182: 1
     183: 1
     185: 1
     192: 1
     193: 1
     194: 1
     195: 1
     198: 1
     199: 1
     200: 1
     201: 1
     204: 1
     206: 1
     207: 1
     208: 1
     209: 1
     210: 1
     211: 1
     213: 1
     214: 1
     215: 1
     217: 1
     219: 1
     220: 1
     221: 1
     224: 1
     226: 1
     227: 1
     228: 1
     229: 1
     231: 1
     234: 1
     236: 1
     241: 1
     242: 1
     247: 1
     248: 1
     249: 1
     251: 1
     254: 1
     255: 1
     256: 1
     257: 1
     258: 1
     260: 1
     261: 1
     262: 1
     267: 1
     268: 1
     270: 1
     271: 1
     273: 1
     274: 1
     275: 1
     276: 1
     278: 1
     283: 1
     284: 1
     287: 1
     288: 1
     299: 1
     305: 1
     308: 1
     310: 1
     311: 1
     327: 1

328:   0: 3q
       1: 3q
       2: 3q^2+3q
       3: q^2+2q
       4: 3q
       5: 3q
       6: q^2+2q
       7: 3q
       8: 3q
       9: 3q^2+3q
      10: 3q^2+3q
      11: 3q
      13: 3q
      14: q^3+3q^2+2q
      15: 3q^2+3q
      16: q^3+3q^2+2q
      17: q^2+2q
      18: q^2+2q
      20: 3q
      21: q^2+2q
      22: 3q
      23: 3q
      24: 3q
      25: q^2+2q
      26: 3q
      27: 3q
      28: 3q
      30: 3q
      32: 2q
      33: 2q
      34: 2q^2+2q
      35: 2q^2+2q
      36: 2q
      37: 2q
      38: 3q
      39: 3q
      40: 3q^2+3q
      41: 3q
      42: 3q
      43: 3q^2+3q
      44: 3q
      45: 3q
      46: 3q^2+3q
      47: 3q
      48: 3q
      49: 3q^2+3q
      50: 2q
      51: 2q
      52: 3q
      53: 3q
      54: 3q
      55: 3q
      56: 3q
      57: 3q
      58: 3q
      59: 3q
      60: 3q
      61: 3q
      62: 3q^2+3q
      63: 3q
      64: 3q
      65: 3q
      67: 3q
      69: 2q
      71: 2q
      72: 2q
      73: 2q
      75: 2q
      76: 2q
      77: 2q^2+2q
      78: 2q
      79: 2q
      80: 2q^2+2q
      81: 2q
      82: 2q
      83: 2q^2+2q
      84: 2q
      85: 2q
      86: 2q^2+2q
      87: 3q
      88: 3q
      91: q
      92: q
      93: q
      94: q
      95: q
      96: q
      97: q^2+q
      98: 3q
      99: 3q
     100: 2q
     101: 2q
     102: 3q
     103: 3q
     104: 2q
     105: 2q
     106: 2q
     108: 2q
     109: 2q
     110: 2q
     112: 2q
     114: 2q
     115: 2q
     116: 2q
     118: 2q
     120: 2q
     121: 2q
     122: 2q
     124: 2q
     125: 2q
     126: 2q^2+2q
     127: 2q^2+2q
     128: 2q
     129: 2q
     131: q
     132: 3q
     133: q
     135: q
     138: q
     139: q
     140: q
     141: q
     144: q
     145: q
     146: q
     147: q
     150: q
     151: q
     152: q
     153: q
     154: 2q
     155: 2q
     156: q
     157: q
     158: q^2+q
     159: 2q
     161: 2q
     162: 2q
     163: 2q
     165: 2q
     167: 2q
     168: 2q
     169: 2q
     171: 2q
     173: 2q
     174: 2q
     175: 2q
     182: q
     183: q
     185: q
     192: q
     193: q
     194: q
     195: q
     198: q
     199: q
     200: q
     201: q
     204: q
     206: q
     207: q
     208: q
     209: q
     210: q
     211: 1
     213: 1
     214: 1
     215: 1
     217: 2q
     219: 2q
     220: 2q
     221: 2q
     234: 1
     236: 1
     241: 1
     242: 1
     247: 1
     248: 1
     249: q
     251: q
     254: q
     255: q
     256: q
     257: q
     258: 1
     260: 1
     261: 1
     262: 1
     268: 1
     271: 1
     275: 1
     276: 1
     278: 1
     283: 1
     284: 1
     287: 1
     288: 1
     300: 1
     305: 1
     308: 1
     311: 1
     328: 1

329:   0: q^3+q
       1: q^3+q
       2: q^2+q
       3: q^3+q
       4: q
       5: q
       6: q^3+q
       7: q
       8: q
       9: q^3+q^2+q
      10: q^3+q^2+q
      11: q^3+q
      13: q^3+q
      14: q^3+q^2+q
      15: q^2+q
      16: q^3+q^2+q
      17: q^3+q
      18: q^3+q
      20: q^3+q
      21: q^3+q
      22: q
      23: q
      24: q^3+q
      25: q^3+q
      26: q
      27: q
      28: q
      30: q
      32: q^3+q
      33: q^3+q
      34: q^3+q^2+q
      35: q^3+q^2+q
      36: q^3+q
      37: q^3+q
      38: q
      39: q
      40: q^2+q
      41: q
      42: q
      43: q^2+q
      44: q
      45: q
      46: q^2+q
      47: q
      48: q
      49: q^2+q
      50: q^3+q
      51: q^3+q
      52: q
      53: q
      54: q
      55: q
      56: q
      57: q
      58: q
      59: q
      60: q
      61: q
      62: q^2+q
      63: q
      64: q
      65: q
      67: q
      69: q
      71: q
      72: q
      73: q
      75: q
      76: q
      77: q^2+q
      78: q
      79: q
      80: q^2+q
      81: q
      82: q
      83: q^2+q
      84: q
      85: q
      86: q^2+q
      87: q
      88: q
      91: q
      92: q
      93: q
      94: q
      95: q
      96: 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
     109: q
     110: q
     112: q
     114: q
     115: q
     116: q
     118: q
     120: q
     121: q
     122: q
     124: q
     125: q
     126: q^2+q
     127: q^2+q
     128: q
     129: q
     130: q
     131: q
     132: q
     133: q
     135: q
     138: q
     139: q
     140: q
     141: q
     144: q
     145: q
     146: q
     147: q
     150: q
     151: q
     152: q
     153: q
     154: q
     155: q
     156: q
     157: q
     158: q^2+q
     159: q
     161: q
     162: q
     163: q
     165: q
     167: q
     168: q
     169: q
     178: q
     179: q
     180: q
     181: q
     182: q
     183: q
     185: q
     192: q
     193: q
     194: q
     195: q
     198: q
     199: q
     200: q
     201: q
     224: q
     227: q
     229: q
     274: 1
     301: 1
     310: 1
     329: 1

330:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: 1
       5: 1
       6: q+1
       7: 1
       8: 1
       9: 1
      10: 1
      11: q+1
      12: q+1
      13: q+1
      14: 1
      15: q+1
      16: 1
      17: q+1
      18: q+1
      19: q+1
      20: q+1
      21: q+1
      22: 1
      23: 1
      24: q+1
      25: q+1
      26: q+1
      27: 1
      28: 1
      29: q+1
      30: q+1
      31: q+1
      32: q+1
      33: q+1
      34: 1
      35: 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: 1
      49: 1
      50: q+1
      51: q+1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: 1
      63: q+1
      64: 1
      65: 1
      66: q+1
      67: q+1
      68: q+1
      69: q+1
      70: q+1
      71: 1
      72: 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: 1
      86: 1
      87: 1
      88: 1
      89: q+1
      90: q+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
     103: 1
     104: 1
     105: 1
     106: q+1
     107: q+1
     108: 1
     109: 1
     110: q+1
     111: q+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
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 1
     134: 1
     135: 1
     136: q+1
     137: q+1
     138: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     151: 1
     154: 1
     155: 1
     156: 1
     157: 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
     175: 1
     176: 1
     177: 1
     178: 1
     179: 1
     182: 1
     183: 1
     184: 1
     185: 1
     186: 1
     187: 1
     188: 1
     189: 1
     190: 1
     191: 1
     194: 1
     195: 1
     196: 1
     197: 1
     198: 1
     199: 1
     202: 1
     203: 1
     204: 1
     205: 1
     211: 1
     212: 1
     215: 1
     216: 1
     217: 1
     218: 1
     221: 1
     222: 1
     223: 1
     224: 1
     225: 1
     230: 1
     232: 1
     233: 1
     234: 1
     235: 1
     239: 1
     240: 1
     243: 1
     244: 1
     249: 1
     250: 1
     252: 1
     253: 1
     258: 1
     259: 1
     262: 1
     263: 1
     264: 1
     265: 1
     272: 1
     276: 1
     277: 1
     279: 1
     280: 1
     293: 1
     294: 1
     296: 1
     298: 1
     302: 1
     312: 1
     313: 1
     315: 1
     316: 1
     330: 1

331:   0: q^3+4q^2+6q+1
       1: 3q^2+4q+1
       2: 5q^2+6q+1
       3: q^3+4q^2+6q+1
       4: 5q^2+6q+1
       5: 5q^2+6q+1
       6: 3q^2+4q+1
       7: q^3+4q^2+4q+1
       8: q^3+4q^2+4q+1
       9: q^3+6q^2+6q+1
      10: q^3+6q^2+6q+1
      11: q^3+4q^2+6q+1
      12: q^3+2q^2+2q+1
      13: 3q^2+4q+1
      14: q^3+6q^2+6q+1
      15: 5q^2+6q+1
      16: q^3+6q^2+6q+1
      17: q^3+4q^2+6q+1
      18: 3q^2+4q+1
      19: q^3+2q^2+2q+1
      20: 2q^2+4q+1
      21: 2q^2+4q+1
      22: 3q^2+4q+1
      23: 3q^2+4q+1
      24: 2q^2+4q+1
      25: 2q^2+4q+1
      26: 2q^2+6q+1
      27: 3q^2+6q+1
      28: 3q^2+6q+1
      29: 2q^2+2q+1
      30: 2q^2+6q+1
      31: 2q^2+2q+1
      32: q^3+4q^2+6q+1
      33: 3q^2+4q+1
      34: q^3+6q^2+6q+1
      35: q^3+6q^2+6q+1
      36: q^3+4q^2+6q+1
      37: 3q^2+4q+1
      38: 2q^2+6q+1
      39: 2q^2+4q+1
      40: 3q^2+6q+1
      41: 2q^2+6q+1
      42: 2q^2+4q+1
      43: 3q^2+6q+1
      44: 2q^2+6q+1
      45: 2q^2+4q+1
      46: 3q^2+6q+1
      47: 2q^2+6q+1
      48: 2q^2+4q+1
      49: 3q^2+6q+1
      50: 2q^2+4q+1
      51: 2q^2+4q+1
      52: q^2+4q+1
      53: q^2+4q+1
      54: q^2+6q+1
      55: q^2+6q+1
      56: q^2+4q+1
      57: q^2+4q+1
      58: q^2+6q+1
      59: q^2+6q+1
      60: 6q+1
      61: q^2+4q+1
      62: q^2+6q+1
      63: 4q+1
      64: q^2+4q+1
      65: q^2+4q+1
      66: q^2+2q+1
      67: 4q+1
      68: q^2+2q+1
      69: 2q^2+6q+1
      70: 2q^2+2q+1
      71: 3q^2+6q+1
      72: 3q^2+6q+1
      73: 2q^2+6q+1
      74: 2q^2+2q+1
      75: 2q^2+6q+1
      76: 2q^2+4q+1
      77: 3q^2+6q+1
      78: 2q^2+6q+1
      79: 2q^2+4q+1
      80: 3q^2+6q+1
      81: 2q^2+6q+1
      82: 2q^2+4q+1
      83: 3q^2+6q+1
      84: 2q^2+6q+1
      85: 2q^2+4q+1
      86: 3q^2+6q+1
      87: 4q+1
      88: 6q+1
      89: 2q+1
      90: 2q+1
      91: q^2+6q+1
      92: q^2+6q+1
      93: q^2+6q+1
      94: q^2+6q+1
      95: 6q+1
      96: q^2+4q+1
      97: q^2+6q+1
      98: 4q+1
      99: 4q+1
     100: q^2+4q+1
     101: q^2+4q+1
     102: 4q+1
     103: 4q+1
     104: q^2+4q+1
     105: q^2+4q+1
     106: 4q+1
     107: q^2+2q+1
     108: q^2+4q+1
     109: q^2+4q+1
     110: 4q+1
     111: q^2+2q+1
     112: q^2+5q+1
     113: q^2+2q+1
     114: q^2+5q+1
     115: q^2+5q+1
     116: q^2+5q+1
     117: q^2+2q+1
     118: q^2+5q+1
     119: q^2+2q+1
     120: q^2+5q+1
     121: q^2+5q+1
     122: q^2+5q+1
     123: q^2+2q+1
     124: 5q+1
     125: 3q+1
     126: q^2+6q+1
     127: q^2+6q+1
     128: 5q+1
     129: 3q+1
     130: 6q+1
     131: 4q+1
     132: 4q+1
     133: 2q+1
     134: q+1
     135: 2q+1
     136: 2q+1
     137: 2q+1
     138: 4q+1
     139: 4q+1
     140: 4q+1
     141: 4q+1
     142: 2q+1
     143: 2q+1
     144: 3q+1
     145: 3q+1
     146: q^2+5q+1
     147: q^2+5q+1
     148: 2q+1
     149: 2q+1
     150: q^2+5q+1
     151: q^2+5q+1
     152: 3q+1
     153: 3q+1
     154: 3q+1
     155: 3q+1
     156: 5q+1
     157: 3q+1
     158: q^2+6q+1
     159: 2q+1
     160: q+1
     161: 2q+1
     162: 2q+1
     163: 2q+1
     164: q+1
     165: 2q+1
     166: q+1
     167: 2q+1
     168: 2q+1
     169: 2q+1
     170: q+1
     171: 2q+1
     172: q+1
     173: 3q+1
     174: 3q+1
     175: 2q+1
     176: q+1
     177: q+1
     178: 2q+1
     179: 4q+1
     180: 3q+1
     181: 3q+1
     182: 3q+1
     186: 2q+1
     187: 2q+1
     188: 2q+1
     189: 2q+1
     190: q+1
     191: q+1
     192: q+1
     193: q+1
     194: 2q+1
     195: 2q+1
     196: q+1
     197: q+1
     198: 2q+1
     199: 2q+1
     200: q+1
     201: q+1
     202: q+1
     203: q+1
     204: 1
     205: 1
     206: q+1
     207: q+1
     208: q+1
     209: q+1
     210: q+1
     211: 2q+1
     212: q+1
     213: 3q+1
     214: 3q+1
     215: 2q+1
     216: q+1
     217: 1
     218: 1
     219: q+1
     220: q+1
     221: 1
     222: 1
     225: q+1
     226: 1
     227: q+1
     228: 1
     229: q+1
     230: 1
     231: 1
     232: q+1
     233: q+1
     234: 1
     235: 1
     236: q+1
     237: 1
     238: 1
     239: q+1
     240: q+1
     241: q+1
     242: q+1
     243: q+1
     244: q+1
     245: 1
     246: 1
     247: q+1
     248: q+1
     252: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     258: 1
     259: 1
     260: q+1
     261: q+1
     262: 1
     263: 1
     265: 1
     266: 1
     268: 1
     269: 1
     271: 1
     273: 1
     274: 2
     275: 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
     291: 1
     292: 1
     299: 1
     301: 1
     304: 1
     307: 1
     309: 1
     311: 1
     319: 1
     320: 1
     323: 1
     324: 1
     331: 1

332:   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^2+2q+1
      10: q^2+2q+1
      11: q^2+2q+1
      12: q+1
      13: q^2+2q+1
      14: q^3+2q^2+2q+1
      15: q^2+2q+1
      16: q^3+2q^2+2q+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^2+2q+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+1
      30: q^2+2q+1
      31: q+1
      32: q+1
      33: q+1
      34: q^2+2q+1
      35: q^2+2q+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+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^2+2q+1
      55: q^2+2q+1
      56: q+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+1
      67: q^2+2q+1
      68: q+1
      69: q+1
      70: q+1
      71: q^2+2q+1
      72: q^2+2q+1
      73: q+1
      74: q+1
      75: q+1
      76: q+1
      77: q^2+2q+1
      78: q+1
      79: q+1
      80: q^2+2q+1
      81: 1
      82: 1
      83: q+1
      84: 1
      85: 1
      86: q+1
      87: q+1
      88: q+1
      89: q+1
      90: q+1
      91: 1
      92: 1
      93: q+1
      94: q+1
      95: 1
      96: 1
      97: q+1
      98: q^2+2q+1
      99: q^2+2q+1
     100: q+1
     101: q+1
     102: q+1
     103: q+1
     104: 1
     105: 1
     106: q+1
     107: 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^2+2q+1
     116: q+1
     117: q+1
     118: 1
     119: 1
     120: q+1
     121: q+1
     122: 1
     123: 1
     124: 1
     125: 1
     126: q+1
     127: q+1
     128: 1
     129: 1
     130: 1
     131: 1
     132: q+1
     133: 1
     134: 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: q+1
     147: q+1
     148: 1
     149: 1
     150: 1
     151: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: q+1
     159: q+1
     160: q+1
     161: q^2+2q+1
     162: q^2+2q+1
     163: q+1
     164: q+1
     165: 1
     166: 1
     167: q+1
     168: q+1
     169: 1
     170: 1
     171: 1
     172: 1
     173: q+1
     174: q+1
     175: 1
     176: 1
     177: 1
     178: 1
     179: 1
     180: 1
     182: 1
     183: 1
     184: 1
     185: q+1
     186: 1
     187: 1
     188: q+1
     189: q+1
     190: q+1
     191: q+1
     192: 1
     193: 1
     194: q+1
     195: q+1
     196: 1
     197: 1
     198: 1
     199: 1
     202: 1
     203: 1
     204: 1
     205: 1
     206: q+1
     207: 1
     208: 1
     211: 1
     213: 1
     214: 1
     215: 1
     217: 1
     218: 1
     219: q+1
     220: q+1
     221: 1
     222: 1
     223: 1
     224: 1
     225: 1
     226: 1
     227: 1
     230: 1
     234: 1
     236: 1
     237: 1
     238: 1
     239: q+1
     240: q+1
     241: 1
     242: 1
     243: 1
     244: 1
     249: 1
     250: 1
     251: q+1
     252: 1
     253: 1
     254: 1
     255: 1
     258: 1
     260: 1
     261: 1
     262: 1
     264: 1
     266: 1
     267: 1
     268: 1
     272: 1
     276: 1
     278: 1
     283: 1
     284: 1
     289: 1
     290: 1
     293: 1
     295: 1
     296: 1
     297: 1
     303: 1
     305: 1
     312: 1
     314: 1
     317: 1
     318: 1
     332: 1

333:   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^3+q^2+q+1
      13: q^2+2q+1
      14: q^2+2q+1
      15: q^2+2q+1
      16: q^2+2q+1
      17: q^2+2q+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: q^2+q+1
      30: 2q+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+1
      46: 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: 2q+1
      55: 2q+1
      56: q+1
      57: q+1
      58: q+1
      59: q+1
      60: q+1
      61: q+1
      62: q+1
      63: 2q+1
      64: 2q+1
      65: 2q+1
      66: q^2+q+1
      67: 2q+1
      68: q^2+q+1
      69: 2q+1
      70: q^2+q+1
      71: 2q+1
      72: 2q+1
      73: 2q+1
      74: q^2+q+1
      75: q^2+2q+1
      76: q^2+2q+1
      77: q^2+2q+1
      78: q^2+2q+1
      79: q^2+2q+1
      80: q^2+2q+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: 2q+1
      94: 2q+1
      95: q+1
      96: q+1
      97: q+1
      98: 2q+1
      99: 2q+1
     100: q^2+2q+1
     101: q^2+2q+1
     102: q+1
     103: q+1
     104: q+1
     105: q+1
     106: 2q+1
     107: q^2+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: 2q+1
     115: 2q+1
     116: 2q+1
     117: q^2+q+1
     118: 1
     119: 1
     120: 1
     121: 1
     122: 1
     123: 1
     124: q+1
     125: q+1
     126: q+1
     127: q+1
     128: q+1
     129: q+1
     130: q+1
     131: q+1
     132: q+1
     133: 1
     134: 1
     135: 1
     136: q+1
     137: q+1
     138: q+1
     139: q+1
     140: 2q+1
     141: 2q+1
     142: q+1
     143: q+1
     144: q+1
     145: q+1
     146: 2q+1
     147: 2q+1
     148: 1
     149: 1
     150: 1
     151: 1
     154: q+1
     155: q+1
     156: q+1
     157: q+1
     158: q+1
     159: 2q+1
     160: q^2+q+1
     161: 2q+1
     162: 2q+1
     163: 2q+1
     164: q^2+q+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: q+1
     180: q+1
     182: q+1
     183: 1
     184: 1
     185: 1
     186: 1
     187: 1
     188: q+1
     189: q+1
     190: q+1
     191: q+1
     192: q+1
     193: q+1
     194: 2q+1
     195: 2q+1
     196: 1
     197: 1
     198: 1
     199: 1
     202: 1
     203: 1
     204: 1
     205: 1
     206: 1
     207: 1
     208: 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
     225: 1
     226: 1
     227: q+1
     230: 1
     232: 1
     233: 1
     234: 1
     235: 1
     236: 1
     237: 1
     238: 1
     239: q+1
     240: q+1
     241: 1
     242: 1
     243: 1
     244: 1
     249: 1
     250: 1
     251: 1
     252: 1
     253: 1
     254: 1
     255: 1
     258: 1
     259: 1
     260: 1
     261: 1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     267: 1
     268: 1
     272: 1
     276: 1
     277: 1
     278: 1
     279: 1
     280: 1
     281: 1
     282: 1
     283: 1
     284: 1
     289: 1
     290: 1
     302: 1
     303: 1
     304: 1
     305: 1
     319: 1
     320: 1
     333: 1

334:   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^2+2q+1
      10: q^2+2q+1
      11: q^2+2q+1
      12: q+1
      13: q^2+2q+1
      14: q^3+2q^2+2q+1
      15: q^2+2q+1
      16: q^3+2q^2+2q+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^2+2q+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+1
      30: q^2+2q+1
      31: q+1
      32: q+1
      33: q+1
      34: q^2+2q+1
      35: q^2+2q+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+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+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^2+2q+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^2+2q+1
      66: q+1
      67: q^2+2q+1
      68: q+1
      69: q+1
      70: q+1
      71: q^2+2q+1
      72: q^2+2q+1
      73: q+1
      74: q+1
      75: 1
      76: 1
      77: q+1
      78: 1
      79: 1
      80: q+1
      81: q+1
      82: q+1
      83: q^2+2q+1
      84: q+1
      85: q+1
      86: q^2+2q+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: q+1
      98: q+1
      99: q+1
     100: 1
     101: 1
     102: q^2+2q+1
     103: q^2+2q+1
     104: q+1
     105: q+1
     106: q+1
     107: 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: q+1
     116: 1
     117: 1
     118: q+1
     119: q+1
     120: q^2+2q+1
     121: q^2+2q+1
     122: q+1
     123: q+1
     124: 1
     125: 1
     126: q+1
     127: q+1
     128: 1
     129: 1
     130: 1
     131: 1
     132: q+1
     133: 1
     134: 1
     135: q+1
     136: q+1
     137: q+1
     138: q+1
     139: q+1
     140: 1
     141: 1
     142: 1
     143: 1
     146: 1
     147: 1
     148: q+1
     149: q+1
     150: q+1
     151: q+1
     152: 1
     153: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: q+1
     159: 1
     160: 1
     161: q+1
     162: q+1
     163: 1
     164: 1
     165: q+1
     166: q+1
     167: q^2+2q+1
     168: q^2+2q+1
     169: q+1
     170: q+1
     171: 1
     172: 1
     173: q+1
     174: q+1
     175: 1
     176: 1
     177: 1
     178: 1
     179: 1
     181: 1
     182: 1
     183: 1
     184: 1
     185: q+1
     186: q+1
     187: q+1
     188: 1
     189: 1
     190: 1
     191: 1
     194: 1
     195: 1
     196: q+1
     197: q+1
     198: q+1
     199: q+1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     206: q+1
     209: 1
     210: 1
     211: 1
     213: 1
     214: 1
     215: 1
     217: 1
     218: 1
     219: q+1
     220: q+1
     221: 1
     222: 1
     223: 1
     224: 1
     225: 1
     228: 1
     229: 1
     230: 1
     234: 1
     236: 1
     239: 1
     240: 1
     243: q+1
     244: q+1
     245: 1
     246: 1
     247: 1
     248: 1
     249: 1
     250: 1
     251: q+1
     252: 1
     253: 1
     256: 1
     257: 1
     258: 1
     260: 1
     261: 1
     262: 1
     264: 1
     269: 1
     270: 1
     271: 1
     272: 1
     276: 1
     278: 1
     287: 1
     288: 1
     291: 1
     292: 1
     293: 1
     295: 1
     296: 1
     297: 1
     306: 1
     308: 1
     312: 1
     314: 1
     321: 1
     322: 1
     334: 1

335:   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^3+q^2+q+1
      13: q^2+2q+1
      14: q^2+2q+1
      15: q^2+2q+1
      16: q^2+2q+1
      17: q^2+2q+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: q^2+q+1
      30: 2q+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+1
      39: q+1
      40: q+1
      41: q+1
      42: q+1
      43: q+1
      44: q^2+2q+1
      45: q^2+2q+1
      46: q^2+2q+1
      47: q^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+1
      53: q+1
      54: q+1
      55: q+1
      56: q^2+2q+1
      57: q^2+2q+1
      58: 2q+1
      59: 2q+1
      60: q+1
      61: q+1
      62: q+1
      63: 2q+1
      64: 2q+1
      65: 2q+1
      66: q^2+q+1
      67: 2q+1
      68: q^2+q+1
      69: 2q+1
      70: q^2+q+1
      71: 2q+1
      72: 2q+1
      73: 2q+1
      74: q^2+q+1
      75: q+1
      76: q+1
      77: q+1
      78: q+1
      79: q+1
      80: q+1
      81: q^2+2q+1
      82: q^2+2q+1
      83: q^2+2q+1
      84: q^2+2q+1
      85: q^2+2q+1
      86: q^2+2q+1
      87: q+1
      88: q+1
      89: q+1
      90: q+1
      91: 2q+1
      92: 2q+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: 2q+1
     103: 2q+1
     104: q^2+2q+1
     105: q^2+2q+1
     106: 2q+1
     107: q^2+q+1
     108: 2q+1
     109: 2q+1
     110: 2q+1
     111: q^2+q+1
     112: 1
     113: 1
     114: 1
     115: 1
     116: 1
     117: 1
     118: 2q+1
     119: q^2+q+1
     120: 2q+1
     121: 2q+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
     131: q+1
     132: q+1
     133: 1
     134: 1
     135: 1
     136: q+1
     137: q+1
     138: 2q+1
     139: 2q+1
     140: q+1
     141: q+1
     142: 1
     143: 1
     146: 1
     147: 1
     148: q+1
     149: q+1
     150: 2q+1
     151: 2q+1
     152: q+1
     153: q+1
     154: q+1
     155: q+1
     156: q+1
     157: q+1
     158: q+1
     159: 1
     160: 1
     161: 1
     162: 1
     163: 1
     164: 1
     165: 2q+1
     166: q^2+q+1
     167: 2q+1
     168: 2q+1
     169: 2q+1
     170: q^2+q+1
     171: 1
     172: 1
     173: 1
     174: 1
     175: 1
     176: 1
     177: 1
     178: 1
     179: q+1
     181: q+1
     182: q+1
     183: 1
     184: 1
     185: 1
     186: q+1
     187: q+1
     188: 1
     189: 1
     190: 1
     191: 1
     194: 1
     195: 1
     196: q+1
     197: q+1
     198: 2q+1
     199: 2q+1
     200: q+1
     201: q+1
     202: 1
     203: 1
     204: 1
     205: 1
     206: 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: 1
     225: 1
     228: 1
     229: q+1
     230: 1
     232: 1
     233: 1
     234: 1
     235: 1
     236: 1
     239: 1
     240: 1
     243: q+1
     244: q+1
     245: 1
     246: 1
     247: 1
     248: 1
     249: 1
     250: 1
     251: 1
     252: 1
     253: 1
     256: 1
     257: 1
     258: 1
     259: 1
     260: 1
     261: 1
     262: 1
     263: 1
     264: 1
     265: 1
     269: 1
     270: 1
     271: 1
     272: 1
     276: 1
     277: 1
     278: 1
     279: 1
     280: 1
     285: 1
     286: 1
     287: 1
     288: 1
     291: 1
     292: 1
     302: 1
     306: 1
     307: 1
     308: 1
     323: 1
     324: 1
     335: 1

336:   0: 4q+1
       1: q^2+2q+1
       2: 4q+1
       3: q^2+2q+1
       4: 4q+1
       5: 4q+1
       6: q+1
       7: q^2+2q+1
       8: q^2+2q+1
       9: 4q+1
      10: 4q+1
      11: 4q+1
      12: q+1
      13: q^2+2q+1
      14: 2q^2+3q+1
      15: 4q+1
      16: 2q^2+3q+1
      17: q^2+2q+1
      18: q+1
      19: q+1
      20: 2q+1
      21: q+1
      22: 2q+1
      23: 2q+1
      24: 2q+1
      25: q+1
      26: 4q+1
      27: 4q+1
      28: 4q+1
      29: q+1
      30: 4q+1
      31: q+1
      32: 2q+1
      33: q+1
      34: 3q+1
      35: 3q+1
      36: 2q+1
      37: q+1
      38: 4q+1
      39: q^2+2q+1
      40: 4q+1
      41: 4q+1
      42: q^2+2q+1
      43: 4q+1
      44: 4q+1
      45: q^2+2q+1
      46: 4q+1
      47: 4q+1
      48: q^2+2q+1
      49: 4q+1
      50: q+1
      51: q+1
      52: 2q+1
      53: 2q+1
      54: 4q+1
      55: 4q+1
      56: 2q+1
      57: 2q+1
      58: 4q+1
      59: 4q+1
      60: 4q+1
      61: q^2+2q+1
      62: 4q+1
      63: 2q+1
      64: 2q+1
      65: 2q+1
      66: q+1
      67: 2q+1
      68: q+1
      69: 2q+1
      70: q+1
      71: 3q+1
      72: 3q+1
      73: 2q+1
      74: q+1
      75: 2q+1
      76: q+1
      77: 3q+1
      78: 2q+1
      79: q+1
      80: 3q+1
      81: 2q+1
      82: q+1
      83: 3q+1
      84: 2q+1
      85: q+1
      86: 3q+1
      87: 2q+1
      88: 4q+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: 2q+1
      98: 2q+1
      99: 2q+1
     100: q+1
     101: q+1
     102: 2q+1
     103: 2q+1
     104: q+1
     105: q+1
     106: 1
     107: 1
     108: q+1
     109: q+1
     110: 1
     111: 1
     112: 2q+1
     113: q+1
     114: 3q+1
     115: 3q+1
     116: 2q+1
     117: q+1
     118: 2q+1
     119: q+1
     120: 3q+1
     121: 3q+1
     122: 2q+1
     123: q+1
     124: 2q+1
     125: q+1
     126: 3q+1
     127: 3q+1
     128: 2q+1
     129: q+1
     130: 1
     131: q+1
     132: 2q+1
     133: q+1
     134: q+1
     135: 2q+1
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     142: q+1
     143: q+1
     144: q+1
     145: q+1
     146: q+1
     147: q+1
     148: q+1
     149: q+1
     150: q+1
     151: q+1
     152: q+1
     153: q+1
     154: q+1
     155: q+1
     156: q+1
     157: q+1
     158: 2q+1
     159: 1
     160: 1
     161: q+1
     162: q+1
     163: 1
     164: 1
     165: 1
     166: 1
     167: q+1
     168: q+1
     169: 1
     170: 1
     171: 2q+1
     172: q+1
     173: 3q+1
     174: 3q+1
     175: 2q+1
     176: q+1
     177: q+1
     178: 1
     179: 1
     180: 1
     181: 1
     182: q+1
     186: 1
     187: 1
     188: 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: q+1
     203: q+1
     204: q+1
     205: q+1
     206: 2q+1
     207: q+1
     208: q+1
     209: q+1
     210: q+1
     211: 2
     213: 2
     214: 2
     215: 2
     217: 1
     218: 1
     219: q+1
     220: q+1
     221: 1
     222: 1
     225: 1
     226: 1
     227: 1
     228: 1
     229: 1
     230: q+1
     231: 1
     234: 2
     236: 2
     237: 1
     238: 1
     239: 1
     240: 1
     241: 2
     242: 2
     243: 1
     244: 1
     245: 1
     246: 1
     247: 2
     248: 2
     252: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     258: 1
     260: 1
     261: 1
     262: 1
     266: 1
     268: 2
     269: 1
     271: 2
     273: 1
     274: 1
     275: 2
     283: 1
     284: 1
     287: 1
     288: 1
     289: 1
     290: 1
     291: 1
     292: 1
     293: 1
     295: 1
     296: 1
     297: 1
     299: 1
     300: 1
     309: 1
     311: 1
     317: 1
     318: 1
     321: 1
     322: 1
     336: 1

337:   0: q+1
       1: q+1
       2: q+1
       3: q^3+1
       4: q+1
       5: q+1
       6: q^3+1
       7: q+1
       8: q+1
       9: q+1
      10: q+1
      11: q+1
      12: q^3+1
      13: q+1
      14: q^3+q^2+q+1
      15: q+1
      16: q^3+q^2+q+1
      17: q^3+1
      18: q^3+1
      19: q^3+1
      20: q+1
      21: q^3+1
      22: q+1
      23: q+1
      24: q+1
      25: q^3+1
      26: q+1
      27: q+1
      28: q+1
      29: q^3+1
      30: q+1
      31: q^3+1
      32: 1
      33: 1
      34: q+1
      35: q+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+1
      47: q+1
      48: q+1
      49: q+1
      50: 1
      51: 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^3+1
      67: q+1
      68: q^3+1
      69: 1
      70: 1
      71: q+1
      72: q+1
      73: 1
      74: 1
      75: 1
      76: 1
      77: q+1
      78: 1
      79: 1
      80: q+1
      81: 1
      82: 1
      83: q+1
      84: 1
      85: 1
      86: q+1
      87: q+1
      88: q+1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 1
      97: q+1
      98: q+1
      99: q+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: 1
     111: 1
     112: 1
     113: 1
     114: q+1
     115: q+1
     116: 1
     117: 1
     118: 1
     119: 1
     120: q+1
     121: q+1
     122: 1
     123: 1
     124: 1
     125: 1
     126: q+1
     127: q+1
     128: 1
     129: 1
     130: 1
     131: 1
     132: q+1
     133: 1
     134: 1
     135: q+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
     151: 1
     152: 1
     153: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: q+1
     159: 1
     160: 1
     161: q+1
     162: q+1
     163: 1
     164: 1
     165: 1
     166: 1
     167: q+1
     168: q+1
     169: 1
     170: 1
     171: 1
     172: 1
     173: q+1
     174: q+1
     175: 1
     176: 1
     177: 1
     178: 1
     179: 1
     180: 1
     181: 1
     182: 1
     183: 1
     184: 1
     185: q+1
     186: 1
     187: 1
     188: 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
     206: q+1
     207: 1
     208: 1
     209: 1
     210: 1
     217: 1
     218: 1
     219: q+1
     220: q+1
     221: 1
     222: 1
     223: 1
     224: 1
     225: 1
     226: 1
     227: 1
     228: 1
     229: 1
     230: 1
     231: 1
     237: 1
     238: 1
     239: 1
     240: 1
     243: 1
     244: 1
     245: 1
     246: 1
     249: 1
     250: 1
     251: q+1
     252: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     264: 1
     266: 1
     267: 1
     269: 1
     270: 1
     272: 1
     273: 1
     274: 1
     289: 1
     290: 1
     291: 1
     292: 1
     303: 1
     306: 1
     309: 1
     310: 1
     337: 1

338:   0: 3q+1
       1: 2q^2+q+1
       2: 3q+1
       3: q^2+2q+1
       4: 3q+1
       5: 3q+1
       6: q^3+q^2+q+1
       7: 2q^2+q+1
       8: 2q^2+q+1
       9: 3q+1
      10: 3q+1
      11: 3q+1
      12: q^3+q^2+q+1
      13: 2q^2+q+1
      14: q^2+2q+1
      15: 3q+1
      16: q^2+2q+1
      17: q^2+2q+1
      18: q^3+q^2+q+1
      19: q^3+q^2+q+1
      20: q+1
      21: q+1
      22: q+1
      23: q+1
      24: q+1
      25: q+1
      26: 3q+1
      27: 3q+1
      28: 3q+1
      29: q^3+q^2+q+1
      30: 3q+1
      31: q^3+q^2+q+1
      32: 2q+1
      33: q^2+q+1
      34: 2q+1
      35: 2q+1
      36: 2q+1
      37: q^2+q+1
      38: 3q+1
      39: 2q^2+q+1
      40: 3q+1
      41: 3q+1
      42: 2q^2+q+1
      43: 3q+1
      44: 3q+1
      45: 2q^2+q+1
      46: 3q+1
      47: 3q+1
      48: 2q^2+q+1
      49: 3q+1
      50: q+1
      51: q+1
      52: q+1
      53: q+1
      54: 3q+1
      55: 3q+1
      56: q+1
      57: q+1
      58: 3q+1
      59: 3q+1
      60: 3q+1
      61: 2q^2+q+1
      62: 3q+1
      63: q+1
      64: q+1
      65: q+1
      66: q+1
      67: q+1
      68: q+1
      69: 2q+1
      70: q^2+q+1
      71: 2q+1
      72: 2q+1
      73: 2q+1
      74: q^2+q+1
      75: 2q+1
      76: q^2+q+1
      77: 2q+1
      78: 2q+1
      79: q^2+q+1
      80: 2q+1
      81: 2q+1
      82: q^2+q+1
      83: 2q+1
      84: 2q+1
      85: q^2+q+1
      86: 2q+1
      87: q+1
      88: 3q+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: q+1
      99: q+1
     100: q+1
     101: q+1
     102: q+1
     103: q+1
     104: q+1
     105: q+1
     106: 1
     107: 1
     108: 1
     109: 1
     110: 1
     111: 1
     112: 2q+1
     113: q^2+q+1
     114: 2q+1
     115: 2q+1
     116: 2q+1
     117: q^2+q+1
     118: 2q+1
     119: q^2+q+1
     120: 2q+1
     121: 2q+1
     122: 2q+1
     123: q^2+q+1
     124: 2q+1
     125: q^2+q+1
     126: 2q+1
     127: 2q+1
     128: 2q+1
     129: q^2+q+1
     130: 1
     131: q+1
     132: q+1
     133: q+1
     134: q+1
     135: q+1
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     142: q+1
     143: q+1
     144: q+1
     145: q+1
     146: q+1
     147: q+1
     148: q+1
     149: q+1
     150: q+1
     151: q+1
     152: q+1
     153: q+1
     154: q+1
     155: q+1
     156: q+1
     157: q+1
     158: q+1
     159: 1
     160: 1
     161: 1
     162: 1
     163: 1
     164: 1
     165: 1
     166: 1
     167: 1
     168: 1
     169: 1
     170: 1
     171: 2q+1
     172: q^2+q+1
     173: 2q+1
     174: 2q+1
     175: 2q+1
     176: q^2+q+1
     177: q+1
     178: 1
     179: 1
     180: 1
     181: 1
     182: q+1
     186: 1
     187: 1
     188: 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: q+1
     203: q+1
     204: q+1
     205: q+1
     206: q+1
     207: q+1
     208: q+1
     209: q+1
     210: q+1
     211: 2
     212: q+1
     213: 2
     214: 2
     215: 2
     216: q+1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     225: 1
     226: 1
     227: 1
     228: 1
     229: 1
     230: q+1
     231: 1
     232: 1
     233: 1
     234: 2
     235: q+1
     236: 2
     237: 1
     238: 1
     239: 1
     240: 1
     241: 2
     242: 2
     243: 1
     244: 1
     245: 1
     246: 1
     247: 2
     248: 2
     252: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     265: 1
     266: 1
     268: 2
     269: 1
     271: 2
     273: 1
     274: 1
     275: 2
     281: 1
     282: 1
     285: 1
     286: 1
     289: 1
     290: 1
     291: 1
     292: 1
     299: 1
     300: 1
     304: 1
     307: 1
     309: 1
     325: 1
     326: 1
     338: 1

339:   0: q+1
       1: q^2+q+1
       2: q+1
       3: q+1
       4: q+1
       5: q+1
       6: q^2+q+1
       7: q^2+q+1
       8: 1
       9: q+1
      10: q+1
      11: q+1
      12: q^2+q+1
      13: 1
      14: q+1
      15: q+1
      16: q+1
      17: q+1
      18: 1
      19: 1
      20: q+1
      21: q+1
      22: q+1
      23: 1
      24: 1
      25: 1
      26: q+1
      27: q+1
      28: q+1
      29: q^2+q+1
      30: q+1
      31: 1
      32: q+1
      33: q^2+q+1
      34: q+1
      35: q+1
      36: q+1
      37: 1
      38: q+1
      39: q^2+q+1
      40: q+1
      41: q+1
      42: 1
      43: q+1
      44: 1
      45: 1
      46: 1
      47: 1
      48: 1
      49: 1
      50: q+1
      51: 1
      52: q+1
      53: 1
      54: q+1
      55: q+1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: 1
      63: q+1
      64: q+1
      65: 1
      66: q+1
      67: 1
      68: 1
      69: q+1
      70: q^2+q+1
      71: q+1
      72: q+1
      73: q+1
      74: 1
      75: q+1
      76: q^2+q+1
      77: q+1
      78: q+1
      79: 1
      80: q+1
      81: 1
      82: 1
      83: 1
      84: 1
      85: 1
      86: 1
      87: 1
      88: 1
      89: q+1
      90: 1
      91: 1
      92: 1
      93: q+1
      94: q+1
      95: 1
      96: 1
      97: 1
      98: q+1
      99: 1
     100: q+1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: q+1
     107: q+1
     108: q+1
     109: 1
     110: 1
     111: 1
     112: q+1
     113: q^2+q+1
     114: q+1
     115: q+1
     116: 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
     131: 1
     132: 1
     133: 1
     134: 1
     135: 1
     136: q+1
     137: 1
     138: 1
     139: 1
     140: q+1
     141: 1
     142: q+1
     143: 1
     144: 1
     145: 1
     146: q+1
     147: q+1
     148: 1
     149: 1
     150: 1
     151: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     159: q+1
     160: q+1
     161: q+1
     162: 1
     163: 1
     164: 1
     165: 1
     166: 1
     167: 1
     171: 1
     172: 1
     173: 1
     174: 1
     175: 1
     176: 1
     177: 1
     178: 1
     179: 1
     180: 1
     182: 1
     186: 1
     187: 1
     188: q+1
     189: 1
     190: q+1
     191: 1
     192: 1
     193: 1
     194: q+1
     195: 1
     196: 1
     198: 1
     202: 1
     203: 1
     204: 1
     205: 1
     206: 1
     207: 1
     208: 1
     211: 1
     212: 1
     213: 1
     214: 1
     215: 1
     216: 1
     217: 1
     218: 1
     220: 1
     225: 1
     226: 1
     227: 1
     230: 1
     232: 1
     233: 1
     234: 1
     235: 1
     236: 1
     237: 1
     238: 1
     239: q+1
     240: 1
     241: 1
     242: 1
     243: 1
     252: 1
     254: 1
     258: 1
     259: 1
     261: 1
     265: 1
     266: 1
     268: 1
     279: 1
     281: 1
     282: 1
     283: 1
     289: 1
     293: 1
     294: 1
     297: 1
     304: 1
     315: 1
     317: 1
     319: 1
     339: 1

340:   0: q+1
       1: 1
       2: q+1
       3: q+1
       4: q+1
       5: q+1
       6: 1
       7: 1
       8: q^2+q+1
       9: q+1
      10: q+1
      11: q+1
      12: 1
      13: q^2+q+1
      14: q+1
      15: q+1
      16: q+1
      17: q+1
      18: q^2+q+1
      19: q^2+q+1
      20: 1
      21: 1
      22: 1
      23: q+1
      24: q+1
      25: q+1
      26: q+1
      27: q+1
      28: q+1
      29: 1
      30: q+1
      31: q^2+q+1
      32: q+1
      33: 1
      34: q+1
      35: q+1
      36: q+1
      37: q^2+q+1
      38: q+1
      39: 1
      40: q+1
      41: q+1
      42: q^2+q+1
      43: q+1
      44: 1
      45: 1
      46: 1
      47: 1
      48: 1
      49: 1
      50: 1
      51: q+1
      52: 1
      53: q+1
      54: q+1
      55: q+1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: 1
      63: 1
      64: 1
      65: q+1
      66: 1
      67: q+1
      68: q+1
      69: q+1
      70: 1
      71: q+1
      72: q+1
      73: q+1
      74: q^2+q+1
      75: q+1
      76: 1
      77: q+1
      78: q+1
      79: q^2+q+1
      80: q+1
      81: 1
      82: 1
      83: 1
      84: 1
      85: 1
      86: 1
      87: 1
      88: 1
      89: 1
      90: q+1
      91: 1
      92: 1
      93: q+1
      94: q+1
      95: 1
      96: 1
      97: 1
      98: 1
      99: q+1
     100: 1
     101: q+1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: 1
     109: q+1
     110: q+1
     111: q+1
     112: q+1
     113: 1
     114: q+1
     115: q+1
     116: q+1
     117: q^2+q+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
     131: 1
     132: 1
     133: 1
     134: 1
     135: 1
     136: 1
     137: q+1
     138: 1
     139: 1
     140: 1
     141: q+1
     142: 1
     143: q+1
     144: 1
     145: 1
     146: q+1
     147: q+1
     148: 1
     149: 1
     150: 1
     151: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     161: 1
     162: q+1
     163: q+1
     164: 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
     182: 1
     186: 1
     187: 1
     188: 1
     189: q+1
     190: 1
     191: q+1
     192: 1
     193: 1
     194: 1
     195: q+1
     197: 1
     199: 1
     202: 1
     203: 1
     204: 1
     205: 1
     206: 1
     207: 1
     208: 1
     211: 1
     212: 1
     213: 1
     214: 1
     215: 1
     216: 1
     219: 1
     221: 1
     222: 1
     225: 1
     226: 1
     227: 1
     230: 1
     232: 1
     233: 1
     234: 1
     235: 1
     236: 1
     237: 1
     238: 1
     239: 1
     240: q+1
     241: 1
     242: 1
     244: 1
     253: 1
     255: 1
     260: 1
     262: 1
     263: 1
     265: 1
     266: 1
     268: 1
     280: 1
     281: 1
     282: 1
     284: 1
     290: 1
     295: 1
     296: 1
     298: 1
     304: 1
     316: 1
     318: 1
     320: 1
     340: 1

341:   0: q+1
       1: q^2+q+1
       2: q+1
       3: q+1
       4: q+1
       5: q+1
       6: q^2+q+1
       7: 1
       8: q^2+q+1
       9: q+1
      10: q+1
      11: q+1
      12: q^2+q+1
      13: 1
      14: q+1
      15: q+1
      16: q+1
      17: 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^2+q+1
      30: q+1
      31: 1
      32: q+1
      33: q^2+q+1
      34: q+1
      35: q+1
      36: q+1
      37: 1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: q+1
      45: q^2+q+1
      46: q+1
      47: q+1
      48: 1
      49: q+1
      50: q+1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: q+1
      57: 1
      58: q+1
      59: q+1
      60: 1
      61: 1
      62: 1
      63: q+1
      64: 1
      65: q+1
      66: q+1
      67: 1
      68: 1
      69: q+1
      70: q^2+q+1
      71: q+1
      72: q+1
      73: q+1
      74: 1
      75: 1
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: q+1
      82: q^2+q+1
      83: q+1
      84: q+1
      85: 1
      86: q+1
      87: 1
      88: 1
      89: q+1
      90: 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: q+1
     103: 1
     104: q+1
     105: 1
     106: q+1
     107: q+1
     108: 1
     109: q+1
     110: 1
     111: 1
     112: 1
     113: 1
     114: 1
     115: 1
     116: 1
     117: 1
     118: q+1
     119: q^2+q+1
     120: q+1
     121: q+1
     122: q+1
     123: 1
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 1
     134: 1
     135: 1
     136: q+1
     137: 1
     138: q+1
     139: 1
     140: 1
     141: 1
     142: 1
     143: 1
     146: 1
     147: 1
     148: q+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: 1
     161: 1
     165: q+1
     166: q+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
     181: 1
     182: 1
     186: q+1
     187: 1
     188: 1
     189: 1
     190: 1
     194: 1
     196: q+1
     197: 1
     198: q+1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     206: 1
     209: 1
     210: 1
     211: 1
     212: 1
     213: 1
     214: 1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     225: 1
     228: 1
     229: 1
     230: 1
     232: 1
     233: 1
     234: 1
     235: 1
     236: 1
     239: 1
     243: q+1
     244: 1
     245: 1
     246: 1
     247: 1
     248: 1
     252: 1
     256: 1
     258: 1
     259: 1
     260: 1
     265: 1
     269: 1
     271: 1
     279: 1
     285: 1
     286: 1
     287: 1
     291: 1
     293: 1
     294: 1
     295: 1
     307: 1
     315: 1
     321: 1
     323: 1
     341: 1

342:   0: q+1
       1: 1
       2: q+1
       3: q+1
       4: q+1
       5: q+1
       6: 1
       7: q^2+q+1
       8: 1
       9: q+1
      10: q+1
      11: q+1
      12: 1
      13: q^2+q+1
      14: q+1
      15: q+1
      16: q+1
      17: q+1
      18: q^2+q+1
      19: q^2+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: 1
      30: q+1
      31: q^2+q+1
      32: q+1
      33: 1
      34: q+1
      35: q+1
      36: q+1
      37: q^2+q+1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: q+1
      45: 1
      46: q+1
      47: q+1
      48: q^2+q+1
      49: q+1
      50: 1
      51: q+1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: q+1
      58: q+1
      59: q+1
      60: 1
      61: 1
      62: 1
      63: 1
      64: q+1
      65: 1
      66: 1
      67: q+1
      68: q+1
      69: q+1
      70: 1
      71: q+1
      72: q+1
      73: q+1
      74: q^2+q+1
      75: 1
      76: 1
      77: 1
      78: 1
      79: 1
      80: 1
      81: q+1
      82: 1
      83: q+1
      84: q+1
      85: q^2+q+1
      86: q+1
      87: 1
      88: 1
      89: 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
     103: q+1
     104: 1
     105: q+1
     106: 1
     107: 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: 1
     120: q+1
     121: q+1
     122: q+1
     123: q^2+q+1
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 1
     134: 1
     135: 1
     136: 1
     137: q+1
     138: 1
     139: q+1
     140: 1
     141: 1
     142: 1
     143: 1
     146: 1
     147: 1
     148: 1
     149: q+1
     150: q+1
     151: q+1
     152: 1
     153: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     162: 1
     163: 1
     164: 1
     165: 1
     166: 1
     167: 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
     181: 1
     182: 1
     186: 1
     187: q+1
     188: 1
     189: 1
     191: 1
     195: 1
     196: 1
     197: q+1
     198: 1
     199: q+1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     206: 1
     209: 1
     210: 1
     211: 1
     212: 1
     213: 1
     214: 1
     215: 1
     216: 1
     220: 1
     221: 1
     222: 1
     225: 1
     228: 1
     229: 1
     230: 1
     232: 1
     233: 1
     234: 1
     235: 1
     236: 1
     240: 1
     243: 1
     244: q+1
     245: 1
     246: 1
     247: 1
     248: 1
     253: 1
     257: 1
     261: 1
     262: 1
     263: 1
     265: 1
     269: 1
     271: 1
     280: 1
     285: 1
     286: 1
     288: 1
     292: 1
     296: 1
     297: 1
     298: 1
     307: 1
     316: 1
     322: 1
     324: 1
     342: 1

343:   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^3+q^2+q+1
      13: q+1
      14: q+1
      15: q+1
      16: q+1
      17: 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: q+1
      30: 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: 1
      55: 1
      56: q+1
      57: q+1
      58: 1
      59: 1
      60: q+1
      61: q+1
      62: q+1
      63: 1
      64: 1
      65: 1
      66: q+1
      67: 1
      69: 1
      70: q+1
      71: 1
      72: 1
      73: 1
      75: q+1
      76: q+1
      77: 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: 1
      89: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: q+1
      96: q+1
      97: q+1
      98: 1
      99: 1
     100: q+1
     101: q+1
     102: 1
     103: 1
     104: q+1
     105: q+1
     106: 1
     107: q+1
     108: 1
     109: 1
     110: 1
     112: 1
     113: q+1
     114: 1
     115: 1
     116: 1
     118: 1
     119: q+1
     120: 1
     121: 1
     122: 1
     124: q+1
     125: q+1
     126: q+1
     127: q+1
     128: q+1
     129: q+1
     130: 1
     131: q+1
     132: 1
     136: 1
     138: 1
     139: 1
     140: 1
     141: 1
     142: 1
     144: 1
     145: 1
     146: 1
     147: 1
     148: 1
     150: 1
     151: 1
     152: 1
     153: 1
     154: q+1
     155: q+1
     156: q+1
     157: q+1
     158: q+1
     159: 1
     160: q+1
     161: 1
     162: 1
     163: 1
     165: 1
     166: q+1
     167: 1
     168: 1
     169: 1
     171: 1
     172: q+1
     173: 1
     174: 1
     175: 1
     179: 1
     180: 1
     181: 1
     182: q+1
     186: 1
     188: 1
     190: 1
     192: 1
     193: 1
     194: 1
     195: 1
     196: 1
     198: 1
     199: 1
     200: 1
     201: 1
     202: 1
     207: 1
     208: 1
     209: 1
     210: 1
     211: 1
     212: q+1
     213: 1
     214: 1
     215: 1
     217: 1
     218: q+1
     219: 1
     220: 1
     221: 1
     227: 1
     229: 1
     231: 1
     232: 1
     237: 1
     239: 1
     241: 1
     242: 1
     243: 1
     245: 1
     247: 1
     248: 1
     252: 1
     254: 1
     255: 1
     256: 1
     257: 1
     258: 1
     259: q+1
     260: 1
     261: 1
     262: 1
     273: 1
     275: 1
     279: 1
     281: 1
     283: 1
     284: 1
     285: 1
     287: 1
     288: 1
     289: 1
     291: 1
     311: 1
     319: 1
     323: 1
     325: 1
     343: 1

344:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       5: q+1
       6: q+1
       7: q+1
       8: q+1
       9: q+1
      10: q+1
      11: q+1
      13: q+1
      14: q+1
      15: q+1
      16: q+1
      17: q+1
      18: q+1
      19: q^3+q^2+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
      30: 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: 1
      55: 1
      56: q+1
      57: q+1
      58: 1
      59: 1
      60: q+1
      61: q+1
      62: q+1
      63: 1
      64: 1
      65: 1
      67: 1
      68: q+1
      69: 1
      71: 1
      72: 1
      73: 1
      74: q+1
      75: q+1
      76: q+1
      77: 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: 1
      90: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: q+1
      96: q+1
      97: q+1
      98: 1
      99: 1
     100: q+1
     101: q+1
     102: 1
     103: 1
     104: q+1
     105: q+1
     106: 1
     108: 1
     109: 1
     110: 1
     111: q+1
     112: 1
     114: 1
     115: 1
     116: 1
     117: q+1
     118: 1
     120: 1
     121: 1
     122: 1
     123: q+1
     124: q+1
     125: q+1
     126: q+1
     127: q+1
     128: q+1
     129: q+1
     130: 1
     131: q+1
     132: 1
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     143: 1
     144: 1
     145: 1
     146: 1
     147: 1
     149: 1
     150: 1
     151: 1
     152: 1
     153: 1
     154: q+1
     155: q+1
     156: q+1
     157: q+1
     158: q+1
     159: 1
     161: 1
     162: 1
     163: 1
     164: q+1
     165: 1
     167: 1
     168: 1
     169: 1
     170: q+1
     171: 1
     173: 1
     174: 1
     175: 1
     176: q+1
     179: 1
     180: 1
     181: 1
     182: q+1
     187: 1
     189: 1
     191: 1
     192: 1
     193: 1
     194: 1
     195: 1
     197: 1
     198: 1
     199: 1
     200: 1
     201: 1
     203: 1
     207: 1
     208: 1
     209: 1
     210: 1
     211: 1
     213: 1
     214: 1
     215: 1
     216: q+1
     217: 1
     219: 1
     220: 1
     221: 1
     222: q+1
     227: 1
     229: 1
     231: 1
     233: 1
     238: 1
     240: 1
     241: 1
     242: 1
     244: 1
     246: 1
     247: 1
     248: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     258: 1
     260: 1
     261: 1
     262: 1
     263: q+1
     273: 1
     275: 1
     280: 1
     282: 1
     283: 1
     284: 1
     286: 1
     287: 1
     288: 1
     290: 1
     292: 1
     311: 1
     320: 1
     324: 1
     326: 1
     344: 1

345:   0: q+1
       1: q+1
       2: q+1
       3: 1
       4: q+1
       5: q+1
       6: 1
       7: q+1
       8: q+1
       9: q+1
      10: q+1
      11: q+1
      12: 1
      13: q+1
      14: q^2+q+1
      15: q+1
      16: q^2+q+1
      17: 1
      18: 1
      19: 1
      20: q+1
      21: 1
      22: q+1
      23: q+1
      24: q+1
      25: 1
      26: q+1
      27: q+1
      28: q+1
      29: 1
      30: q+1
      31: 1
      32: 1
      33: 1
      34: q+1
      35: q+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+1
      47: q+1
      48: q+1
      49: q+1
      50: 1
      51: 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: 1
      67: q+1
      68: 1
      69: 1
      70: 1
      71: q+1
      72: q+1
      73: 1
      74: 1
      75: 1
      76: 1
      77: q+1
      78: 1
      79: 1
      80: q+1
      81: 1
      82: 1
      83: q+1
      84: 1
      85: 1
      86: q+1
      87: q+1
      88: q+1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 1
      97: q+1
      98: q+1
      99: q+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: 1
     111: 1
     112: 1
     113: 1
     114: q+1
     115: q+1
     116: 1
     117: 1
     118: 1
     119: 1
     120: q+1
     121: q+1
     122: 1
     123: 1
     124: 1
     125: 1
     126: q+1
     127: q+1
     128: 1
     129: 1
     130: 1
     131: 1
     132: q+1
     133: 1
     134: 1
     135: q+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
     151: 1
     152: 1
     153: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: q+1
     159: 1
     160: 1
     161: q+1
     162: q+1
     163: 1
     164: 1
     165: 1
     166: 1
     167: q+1
     168: q+1
     169: 1
     170: 1
     171: 1
     172: 1
     173: q+1
     174: q+1
     175: 1
     176: 1
     177: 1
     178: 1
     179: 1
     180: 1
     181: 1
     182: 1
     183: 1
     184: 1
     185: q+1
     186: 1
     187: 1
     188: 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
     206: q+1
     207: 1
     208: 1
     209: 1
     210: 1
     211: 1
     213: 1
     214: 1
     215: 1
     217: 1
     218: 1
     219: q+1
     220: q+1
     221: 1
     222: 1
     223: 1
     224: 1
     225: 1
     226: 1
     227: 1
     228: 1
     229: 1
     230: 1
     231: 1
     234: 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: q+1
     252: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     258: 1
     260: 1
     261: 1
     262: 1
     264: 1
     266: 1
     267: 1
     268: 1
     269: 1
     270: 1
     271: 1
     272: 1
     273: 1
     274: 1
     275: 1
     276: 1
     278: 1
     283: 1
     284: 1
     287: 1
     288: 1
     289: 1
     290: 1
     291: 1
     292: 1
     293: 1
     295: 1
     296: 1
     297: 1
     299: 1
     303: 1
     305: 1
     306: 1
     308: 1
     309: 1
     310: 1
     311: 1
     312: 1
     314: 1
     317: 1
     318: 1
     321: 1
     322: 1
     327: 1
     332: 1
     334: 1
     336: 1
     337: 1
     345: 1

346:   0: 2q^2+3q
       1: 2q^2+3q
       2: 2q^2+3q
       3: q^2+2q
       4: 2q^2+3q
       5: 2q^2+3q
       6: q^2+2q
       7: 2q^2+3q
       8: 2q^2+3q
       9: 2q^2+3q
      10: 2q^2+3q
      11: 2q^2+3q
      12: q^2+2q
      13: 2q^2+3q
      14: 2q^3+2q^2+2q
      15: 2q^2+3q
      16: 2q^3+2q^2+2q
      17: q^2+2q
      18: q^2+2q
      19: q^2+2q
      20: 2q^2+3q
      21: q^2+2q
      22: 2q^2+3q
      23: 2q^2+3q
      24: 2q^2+3q
      25: q^2+2q
      26: 2q^2+3q
      27: 2q^2+3q
      28: 2q^2+3q
      29: q^2+2q
      30: 2q^2+3q
      31: q^2+2q
      32: 2q
      33: 2q
      34: q^2+2q
      35: q^2+2q
      36: 2q
      37: 2q
      38: 2q^2+3q
      39: 2q^2+3q
      40: 2q^2+3q
      41: 2q^2+3q
      42: 2q^2+3q
      43: 2q^2+3q
      44: 2q^2+3q
      45: 2q^2+3q
      46: 2q^2+3q
      47: 2q^2+3q
      48: 2q^2+3q
      49: 2q^2+3q
      50: 2q
      51: 2q
      52: 2q^2+3q
      53: 2q^2+3q
      54: 2q^2+3q
      55: 2q^2+3q
      56: 2q^2+3q
      57: 2q^2+3q
      58: 2q^2+3q
      59: 2q^2+3q
      60: 2q^2+3q
      61: 2q^2+3q
      62: 2q^2+3q
      63: 2q^2+3q
      64: 2q^2+3q
      65: 2q^2+3q
      66: q^2+2q
      67: 2q^2+3q
      68: q^2+2q
      69: 2q
      70: 2q
      71: q^2+2q
      72: q^2+2q
      73: 2q
      74: 2q
      75: 2q
      76: 2q
      77: q^2+2q
      78: 2q
      79: 2q
      80: q^2+2q
      81: 2q
      82: 2q
      83: q^2+2q
      84: 2q
      85: 2q
      86: q^2+2q
      87: 2q^2+3q
      88: 2q^2+3q
      89: 2q
      90: 2q
      91: q
      92: q
      93: q
      94: q
      95: q
      96: q
      97: q
      98: 2q^2+3q
      99: 2q^2+3q
     100: 2q
     101: 2q
     102: 2q^2+3q
     103: 2q^2+3q
     104: 2q
     105: 2q
     106: 2q
     107: 2q
     108: q^2+2q
     109: q^2+2q
     110: 2q
     111: 2q
     112: 2q
     113: 2q
     114: q^2+2q
     115: q^2+2q
     116: 2q
     117: 2q
     118: 2q
     119: 2q
     120: q^2+2q
     121: q^2+2q
     122: 2q
     123: 2q
     124: 2q
     125: 2q
     126: q^2+2q
     127: q^2+2q
     128: 2q
     129: 2q
     131: q
     132: 2q^2+3q
     133: q
     134: q
     135: q
     136: 2q
     137: 2q
     138: q
     139: q
     140: q
     141: q
     142: 2q
     143: 2q
     144: q
     145: q
     146: q
     147: q
     148: 2q
     149: 2q
     150: q
     151: q
     152: q
     153: q
     154: 2q
     155: 2q
     156: q
     157: q
     158: q
     159: 2q
     160: 2q
     161: q^2+2q
     162: q^2+2q
     163: 2q
     164: 2q
     165: 2q
     166: 2q
     167: q^2+2q
     168: q^2+2q
     169: 2q
     170: 2q
     171: 2q
     172: 2q
     173: q^2+2q
     174: q^2+2q
     175: 2q
     176: 2q
     177: q
     182: q
     183: q
     184: q
     185: q
     186: q
     187: q
     188: q
     189: q
     190: 2q
     191: 2q
     192: q
     193: q
     194: q
     195: q
     196: 2q
     197: 2q
     198: q
     199: q
     200: q
     201: q
     202: 2q
     203: 2q
     204: q
     205: q
     206: q
     207: q
     208: q
     209: q
     210: q
     211: 1
     213: 1
     214: 1
     215: 1
     217: 2q
     218: 2q
     219: q^2+2q
     220: q^2+2q
     221: 2q
     222: 2q
     223: q
     230: q
     234: 1
     236: 1
     237: q
     238: q
     239: q
     240: q
     241: 1
     242: 1
     243: q
     244: q
     245: q
     246: q
     247: 1
     248: 1
     249: q
     250: q
     251: q
     252: 2q
     253: 2q
     254: q
     255: q
     256: q
     257: q
     258: 1
     260: 1
     261: 1
     262: 1
     268: 1
     271: 1
     272: q
     275: 1
     276: 1
     278: 1
     283: 1
     284: 1
     287: 1
     288: 1
     289: q
     290: q
     291: q
     292: q
     293: 1
     295: 1
     296: 1
     297: 1
     300: 1
     305: 1
     308: 1
     311: 1
     312: 1
     314: 1
     317: 1
     318: 1
     321: 1
     322: 1
     328: 1
     332: 1
     334: 1
     336: 1
     346: 1

347:   0: q^3+2q^2+q
       1: q^4+q^3+q^2+q
       2: q^3+2q^2+q
       3: q^4+q^3+q^2+q
       4: q^3+2q^2+q
       5: q^3+2q^2+q
       6: q^3+q
       7: q^2+q
       8: q^2+q
       9: q^3+2q^2+q
      10: q^3+2q^2+q
      11: q^3+2q^2+q
      12: q^3+q
      13: q^4+q^3+q^2+q
      14: q^4+2q^3+2q^2+q
      15: q^3+2q^2+q
      16: q^4+2q^3+2q^2+q
      17: q^4+q^3+q^2+q
      18: q^3+q
      19: q^3+q
      20: q^3+q^2+q
      21: q^3+q
      22: q^2+q
      23: q^2+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+q
      30: q^3+2q^2+q
      31: q^3+q
      32: q^3+q^2+q
      33: q^3+q
      34: q^3+2q^2+q
      35: q^3+2q^2+q
      36: q^3+q^2+q
      37: q^3+q
      38: 2q^2+q
      39: q^2+q
      40: 2q^2+q
      41: 2q^2+q
      42: q^2+q
      43: 2q^2+q
      44: 2q^2+q
      45: q^2+q
      46: 2q^2+q
      47: 2q^2+q
      48: q^2+q
      49: 2q^2+q
      50: q^3+q
      51: q^3+q
      52: q^2+q
      53: q^2+q
      54: 2q^2+q
      55: 2q^2+q
      56: q^2+q
      57: q^2+q
      58: 2q^2+q
      59: 2q^2+q
      60: 2q^2+q
      61: q^2+q
      62: 2q^2+q
      63: q^3+q^2+q
      64: q^2+q
      65: q^2+q
      66: q^3+q
      67: q^3+q^2+q
      68: q^3+q
      69: q^3+q^2+q
      70: q^3+q
      71: q^3+2q^2+q
      72: q^3+2q^2+q
      73: q^3+q^2+q
      74: q^3+q
      75: q^2+q
      76: q
      77: 2q^2+q
      78: q^2+q
      79: q
      80: 2q^2+q
      81: q^2+q
      82: q
      83: 2q^2+q
      84: q^2+q
      85: q
      86: 2q^2+q
      87: q^2+q
      88: 2q^2+q
      89: q^3+q
      90: q^3+q
      91: q^2+q
      92: q^2+q
      93: q^2+q
      94: q^2+q
      95: q^2+q
      96: q
      97: 2q^2+q
      98: q^2+q
      99: q^2+q
     100: q
     101: q
     102: q^2+q
     103: q^2+q
     104: q
     105: q
     106: q
     107: q
     108: q^2+q
     109: q^2+q
     110: q
     111: q
     112: q^2+q
     113: q
     114: 2q^2+q
     115: 2q^2+q
     116: q^2+q
     117: q
     118: q^2+q
     119: q
     120: 2q^2+q
     121: 2q^2+q
     122: q^2+q
     123: q
     124: q
     125: q
     126: q^2+q
     127: q^2+q
     128: q
     129: q
     130: q^2+q
     131: q
     132: q^2+q
     133: q^2+q
     134: q
     135: 2q^2+q
     136: q
     137: q
     138: q
     139: q
     140: q
     141: q
     142: q
     143: q
     144: q
     145: q
     146: q^2+q
     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
     160: q
     161: q^2+q
     162: q^2+q
     163: q
     164: q
     165: q
     166: q
     167: q^2+q
     168: q^2+q
     169: q
     170: q
     171: q
     172: q
     173: q^2+q
     174: q^2+q
     175: q
     176: q
     177: q
     178: q^2+q
     179: q
     180: q
     181: q
     182: q
     183: q
     184: q
     185: q^2+q
     186: q
     187: q
     188: q
     189: q
     190: q
     191: q
     192: q
     193: q
     194: q
     195: q
     196: q
     197: q
     198: q
     199: q
     200: q
     201: q
     202: q
     203: q
     204: q
     205: q
     206: q^2+q
     207: q
     208: q
     209: q
     210: q
     223: q
     224: q
     225: q
     226: q
     227: q
     228: q
     229: q
     230: q
     231: q
     237: q
     238: q
     239: q
     240: q
     243: q
     244: q
     245: q
     246: q
     264: q
     266: q
     269: q
     274: q
     310: 1
     329: 1
     337: 1
     347: 1

348:   0: q^3+2q+1
       1: q^3+2q+1
       2: q^2+2q+1
       3: q^3+2q+1
       4: q^2+2q+1
       5: q^2+2q+1
       6: q^3+2q+1
       7: q^2+2q+1
       8: q^2+2q+1
       9: q^3+2q^2+2q+1
      10: q^3+2q^2+2q+1
      11: q^3+2q+1
      12: q^4+q^3+q+1
      13: q^3+2q+1
      14: q^3+2q^2+2q+1
      15: q^2+2q+1
      16: q^3+2q^2+2q+1
      17: q^3+2q+1
      18: q^3+2q+1
      19: q^4+q^3+q+1
      20: q^3+2q+1
      21: q^3+2q+1
      22: q^2+2q+1
      23: q^2+2q+1
      24: q^3+2q+1
      25: q^3+2q+1
      26: 2q+1
      27: q^2+2q+1
      28: q^2+2q+1
      29: q^3+q+1
      30: 2q+1
      31: q^3+q+1
      32: q^3+2q+1
      33: q^3+2q+1
      34: q^3+2q^2+2q+1
      35: q^3+2q^2+2q+1
      36: q^3+2q+1
      37: q^3+2q+1
      38: 2q+1
      39: 2q+1
      40: q^2+2q+1
      41: 2q+1
      42: 2q+1
      43: q^2+2q+1
      44: 2q+1
      45: 2q+1
      46: q^2+2q+1
      47: 2q+1
      48: 2q+1
      49: q^2+2q+1
      50: q^3+2q+1
      51: q^3+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: 2q+1
      62: q^2+2q+1
      63: 2q+1
      64: q^2+2q+1
      65: q^2+2q+1
      66: q^3+q+1
      67: 2q+1
      68: q^3+q+1
      69: 2q+1
      70: q^3+q+1
      71: q^2+2q+1
      72: q^2+2q+1
      73: 2q+1
      74: q^3+q+1
      75: 2q+1
      76: 2q+1
      77: q^2+2q+1
      78: 2q+1
      79: 2q+1
      80: q^2+2q+1
      81: 2q+1
      82: 2q+1
      83: q^2+2q+1
      84: 2q+1
      85: 2q+1
      86: q^2+2q+1
      87: 2q+1
      88: 2q+1
      89: q+1
      90: q+1
      91: 2q+1
      92: 2q+1
      93: 2q+1
      94: 2q+1
      95: 2q+1
      96: 2q+1
      97: q^2+2q+1
      98: 2q+1
      99: 2q+1
     100: 2q+1
     101: 2q+1
     102: 2q+1
     103: 2q+1
     104: 2q+1
     105: 2q+1
     106: 2q+1
     107: q^3+q+1
     108: q^2+2q+1
     109: q^2+2q+1
     110: 2q+1
     111: q^3+q+1
     112: 2q+1
     113: q+1
     114: 2q+1
     115: 2q+1
     116: 2q+1
     117: q+1
     118: 2q+1
     119: q+1
     120: 2q+1
     121: 2q+1
     122: 2q+1
     123: q+1
     124: q+1
     125: q+1
     126: q^2+2q+1
     127: q^2+2q+1
     128: q+1
     129: q+1
     130: 2q+1
     131: 2q+1
     132: 2q+1
     133: 2q+1
     134: q+1
     135: 2q+1
     136: q+1
     137: q+1
     138: 2q+1
     139: 2q+1
     140: 2q+1
     141: 2q+1
     142: q+1
     143: q+1
     144: q+1
     145: q+1
     146: 2q+1
     147: 2q+1
     148: q+1
     149: q+1
     150: 2q+1
     151: 2q+1
     152: q+1
     153: q+1
     154: q+1
     155: q+1
     156: q+1
     157: q+1
     158: q^2+2q+1
     159: 2q+1
     160: q+1
     161: 2q+1
     162: 2q+1
     163: 2q+1
     164: q+1
     165: 2q+1
     166: q+1
     167: 2q+1
     168: 2q+1
     169: 2q+1
     170: q+1
     171: 1
     172: 1
     173: q+1
     174: q+1
     175: 1
     176: 1
     177: q+1
     178: 2q+1
     179: 2q+1
     180: q+1
     181: q+1
     182: q+1
     183: 2q+1
     184: q+1
     185: 2q+1
     186: q+1
     187: q+1
     188: q+1
     189: q+1
     190: q+1
     191: q+1
     192: q+1
     193: q+1
     194: 2q+1
     195: 2q+1
     196: q+1
     197: q+1
     198: 2q+1
     199: 2q+1
     200: q+1
     201: q+1
     202: 1
     203: 1
     204: 1
     205: 1
     206: q+1
     207: 1
     208: 1
     209: 1
     210: 1
     211: 1
     212: 1
     213: q+1
     214: q+1
     215: 1
     216: 1
     217: 1
     218: 1
     219: q+1
     220: q+1
     221: 1
     222: 1
     223: q+1
     224: 2q+1
     225: q+1
     226: 1
     227: q+1
     228: 1
     229: q+1
     230: 1
     231: 1
     232: 1
     233: 1
     234: 1
     235: 1
     236: q+1
     237: 1
     238: 1
     239: q+1
     240: q+1
     241: 1
     242: 1
     243: q+1
     244: q+1
     245: 1
     246: 1
     247: 1
     248: 1
     249: 1
     250: 1
     251: q+1
     252: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     258: 1
     259: 1
     260: q+1
     261: q+1
     262: 1
     263: 1
     264: q+1
     265: 1
     266: 1
     267: 1
     268: 1
     269: 1
     270: 1
     271: 1
     272: 1
     273: 1
     274: 2
     275: 1
     276: 1
     277: 1
     278: q+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
     291: 1
     292: 1
     299: 1
     301: 1
     302: 1
     303: 1
     304: 1
     305: 1
     306: 1
     307: 1
     308: 1
     309: 1
     310: 2
     311: 1
     319: 1
     320: 1
     323: 1
     324: 1
     327: 1
     329: 1
     331: 1
     333: 1
     335: 1
     337: 1
     348: 1

349:   0: 2q^2+3q+1
       1: q^2+2q+1
       2: 2q^2+3q+1
       3: 2q^2+3q+1
       4: 3q^2+3q+1
       5: 3q^2+3q+1
       6: q^2+2q+1
       7: q^3+2q^2+2q+1
       8: q^3+2q^2+2q+1
       9: 3q^2+3q+1
      10: 3q^2+3q+1
      11: 2q^2+3q+1
      12: q^2+2q+1
      13: q^2+2q+1
      14: 3q^2+3q+1
      15: 2q^2+3q+1
      16: 3q^2+3q+1
      17: 2q^2+3q+1
      18: q^2+2q+1
      19: q^2+2q+1
      20: 2q+1
      21: 2q+1
      22: q^2+2q+1
      23: q^2+2q+1
      24: 2q+1
      25: 2q+1
      26: 2q^2+3q+1
      27: 3q^2+3q+1
      28: 3q^2+3q+1
      29: q^2+2q+1
      30: 2q^2+3q+1
      31: q^2+2q+1
      32: 2q^2+3q+1
      33: q^2+2q+1
      34: 3q^2+3q+1
      35: 3q^2+3q+1
      36: 2q^2+3q+1
      37: q^2+2q+1
      38: q^2+3q+1
      39: q^2+2q+1
      40: q^2+3q+1
      41: q^2+3q+1
      42: q^2+2q+1
      43: q^2+3q+1
      44: q^2+3q+1
      45: q^2+2q+1
      46: q^2+3q+1
      47: q^2+3q+1
      48: q^2+2q+1
      49: q^2+3q+1
      50: 2q+1
      51: 2q+1
      52: 2q+1
      53: 2q+1
      54: q^2+3q+1
      55: q^2+3q+1
      56: 2q+1
      57: 2q+1
      58: q^2+3q+1
      59: q^2+3q+1
      60: 3q+1
      61: q^2+2q+1
      62: 3q+1
      63: 2q+1
      64: q^2+2q+1
      65: q^2+2q+1
      66: 2q+1
      67: 2q+1
      68: 2q+1
      69: 2q^2+3q+1
      70: q^2+2q+1
      71: 3q^2+3q+1
      72: 3q^2+3q+1
      73: 2q^2+3q+1
      74: q^2+2q+1
      75: q^2+3q+1
      76: q^2+2q+1
      77: q^2+3q+1
      78: q^2+3q+1
      79: q^2+2q+1
      80: q^2+3q+1
      81: q^2+3q+1
      82: q^2+2q+1
      83: q^2+3q+1
      84: q^2+3q+1
      85: q^2+2q+1
      86: q^2+3q+1
      87: 2q+1
      88: 3q+1
      89: 2q+1
      90: 2q+1
      91: q^2+3q+1
      92: q^2+3q+1
      93: q^2+3q+1
      94: q^2+3q+1
      95: 3q+1
      96: q^2+2q+1
      97: 3q+1
      98: 2q+1
      99: 2q+1
     100: 2q+1
     101: 2q+1
     102: 2q+1
     103: 2q+1
     104: 2q+1
     105: 2q+1
     106: 2q+1
     107: 2q+1
     108: q^2+2q+1
     109: q^2+2q+1
     110: 2q+1
     111: 2q+1
     112: q^2+3q+1
     113: q^2+2q+1
     114: q^2+3q+1
     115: q^2+3q+1
     116: q^2+3q+1
     117: q^2+2q+1
     118: q^2+3q+1
     119: q^2+2q+1
     120: q^2+3q+1
     121: q^2+3q+1
     122: q^2+3q+1
     123: q^2+2q+1
     124: 2q+1
     125: q+1
     126: 3q+1
     127: 3q+1
     128: 2q+1
     129: q+1
     130: 3q+1
     131: 2q+1
     132: 2q+1
     133: 3q+1
     134: q^2+2q+1
     135: 3q+1
     136: 2q+1
     137: 2q+1
     138: 2q+1
     139: 2q+1
     140: 2q+1
     141: 2q+1
     142: 2q+1
     143: 2q+1
     144: q+1
     145: q+1
     146: q^2+3q+1
     147: q^2+3q+1
     148: 2q+1
     149: 2q+1
     150: q^2+3q+1
     151: q^2+3q+1
     152: q+1
     153: q+1
     154: q+1
     155: q+1
     156: 2q+1
     157: q+1
     158: 3q+1
     159: q+1
     160: q+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: 2q+1
     172: q+1
     173: 3q+1
     174: 3q+1
     175: 2q+1
     176: q+1
     177: 2q+1
     178: 3q+1
     179: 2q+1
     180: q+1
     181: q+1
     182: q+1
     186: 2q+1
     187: 2q+1
     188: 2q+1
     189: 2q+1
     190: q+1
     191: q+1
     192: 1
     193: 1
     194: q+1
     195: q+1
     196: q+1
     197: q+1
     198: q+1
     199: q+1
     200: 1
     201: 1
     202: q+1
     203: q+1
     204: 2q+1
     205: q+1
     206: 3q+1
     207: q+1
     208: q+1
     209: q+1
     210: q+1
     211: 2q+1
     212: q+1
     213: 3q+1
     214: 3q+1
     215: 2q+1
     216: q+1
     217: 1
     218: 1
     219: q+1
     220: q+1
     221: 1
     222: 1
     225: 2q+1
     226: q+1
     227: 1
     228: q+1
     229: 1
     230: q+1
     231: 1
     232: q+1
     233: q+1
     234: 2q+1
     235: q+1
     236: 3q+1
     237: 1
     238: 1
     239: q+1
     240: q+1
     241: q+1
     242: q+1
     243: q+1
     244: q+1
     245: 1
     246: 1
     247: q+1
     248: q+1
     252: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     258: 1
     259: 1
     260: q+1
     261: q+1
     262: 1
     263: 1
     265: q+1
     266: 1
     268: q+1
     269: 1
     271: q+1
     273: 1
     274: 1
     275: 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
     291: 1
     292: 1
     293: 1
     294: 1
     295: q+1
     296: 1
     297: q+1
     298: 1
     299: 1
     304: 1
     307: 1
     309: 1
     311: 1
     315: 1
     316: 1
     317: 1
     318: 1
     319: 1
     320: 1
     321: 1
     322: 1
     323: 1
     324: 1
     331: 1
     336: 1
     339: 1
     340: 1
     341: 1
     342: 1
     349: 1

350:   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: 1
      49: 1
      50: q+1
      51: q+1
      52: q+1
      53: q+1
      54: q+1
      55: q+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+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: q+1
      80: q+1
      81: 1
      82: 1
      83: 1
      84: 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: 1
      96: 1
      97: 1
      98: q+1
      99: q+1
     100: q+1
     101: q+1
     102: 1
     103: 1
     104: 1
     105: 1
     106: q+1
     107: q+1
     108: q+1
     109: q+1
     110: q+1
     111: q+1
     112: q+1
     113: q+1
     114: q+1
     115: q+1
     116: q+1
     117: q+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
     131: 1
     132: 1
     133: 1
     134: 1
     135: 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: q+1
     147: q+1
     148: 1
     149: 1
     150: 1
     151: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     159: q+1
     160: q+1
     161: q+1
     162: q+1
     163: q+1
     164: q+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
     182: 1
     183: 1
     184: 1
     185: 1
     186: 1
     187: 1
     188: q+1
     189: q+1
     190: q+1
     191: q+1
     192: 1
     193: 1
     194: q+1
     195: q+1
     196: 1
     197: 1
     198: 1
     199: 1
     202: 1
     203: 1
     204: 1
     205: 1
     206: 1
     207: 1
     208: 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
     225: 1
     226: 1
     227: 1
     230: 1
     232: 1
     233: 1
     234: 1
     235: 1
     236: 1
     237: 1
     238: 1
     239: q+1
     240: q+1
     241: 1
     242: 1
     243: 1
     244: 1
     249: 1
     250: 1
     251: 1
     252: 1
     253: 1
     254: 1
     255: 1
     258: 1
     259: 1
     260: 1
     261: 1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     267: 1
     268: 1
     272: 1
     276: 1
     277: 1
     278: 1
     279: 1
     280: 1
     281: 1
     282: 1
     283: 1
     284: 1
     289: 1
     290: 1
     293: 1
     294: 1
     295: 1
     296: 1
     297: 1
     298: 1
     302: 1
     303: 1
     304: 1
     305: 1
     312: 1
     313: 1
     314: 1
     315: 1
     316: 1
     317: 1
     318: 1
     319: 1
     320: 1
     330: 1
     332: 1
     333: 1
     339: 1
     340: 1
     350: 1

351:   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: q+1
      51: q+1
      52: 1
      53: 1
      54: 1
      55: 1
      56: q+1
      57: q+1
      58: q+1
      59: q+1
      60: 1
      61: 1
      62: 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: 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: q+1
      92: q+1
      93: 1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: q+1
     103: q+1
     104: q+1
     105: q+1
     106: q+1
     107: q+1
     108: q+1
     109: q+1
     110: q+1
     111: q+1
     112: 1
     113: 1
     114: 1
     115: 1
     116: 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
     131: 1
     132: 1
     133: 1
     134: 1
     135: 1
     136: q+1
     137: q+1
     138: q+1
     139: q+1
     140: 1
     141: 1
     142: 1
     143: 1
     146: 1
     147: 1
     148: q+1
     149: q+1
     150: q+1
     151: q+1
     152: 1
     153: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 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
     181: 1
     182: 1
     183: 1
     184: 1
     185: 1
     186: q+1
     187: q+1
     188: 1
     189: 1
     190: 1
     191: 1
     194: 1
     195: 1
     196: q+1
     197: q+1
     198: q+1
     199: q+1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     206: 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: 1
     225: 1
     228: 1
     229: 1
     230: 1
     232: 1
     233: 1
     234: 1
     235: 1
     236: 1
     239: 1
     240: 1
     243: q+1
     244: q+1
     245: 1
     246: 1
     247: 1
     248: 1
     249: 1
     250: 1
     251: 1
     252: 1
     253: 1
     256: 1
     257: 1
     258: 1
     259: 1
     260: 1
     261: 1
     262: 1
     263: 1
     264: 1
     265: 1
     269: 1
     270: 1
     271: 1
     272: 1
     276: 1
     277: 1
     278: 1
     279: 1
     280: 1
     285: 1
     286: 1
     287: 1
     288: 1
     291: 1
     292: 1
     293: 1
     294: 1
     295: 1
     296: 1
     297: 1
     298: 1
     302: 1
     306: 1
     307: 1
     308: 1
     312: 1
     313: 1
     314: 1
     315: 1
     316: 1
     321: 1
     322: 1
     323: 1
     324: 1
     330: 1
     334: 1
     335: 1
     341: 1
     342: 1
     351: 1

352:   0: 3q^2+4q+1
       1: 3q^2+4q+1
       2: 3q^2+4q+1
       3: q^3+3q^2+3q+1
       4: 3q^2+4q+1
       5: 3q^2+4q+1
       6: q^3+3q^2+3q+1
       7: 3q^2+4q+1
       8: 3q^2+4q+1
       9: 3q^2+4q+1
      10: 3q^2+4q+1
      11: 3q^2+4q+1
      12: q^4+2q^3+2q^2+2q+1
      13: 3q^2+4q+1
      14: q^3+3q^2+3q+1
      15: 3q^2+4q+1
      16: q^3+3q^2+3q+1
      17: q^3+3q^2+3q+1
      18: q^3+3q^2+3q+1
      19: q^4+2q^3+2q^2+2q+1
      20: 3q^2+4q+1
      21: q^3+3q^2+3q+1
      22: 3q^2+4q+1
      23: 3q^2+4q+1
      24: 3q^2+4q+1
      25: q^3+3q^2+3q+1
      26: q^2+4q+1
      27: q^2+4q+1
      28: q^2+4q+1
      29: q^3+2q^2+2q+1
      30: q^2+4q+1
      31: q^3+2q^2+2q+1
      32: 2q^2+3q+1
      33: 2q^2+3q+1
      34: 2q^2+3q+1
      35: 2q^2+3q+1
      36: 2q^2+3q+1
      37: 2q^2+3q+1
      38: 3q^2+4q+1
      39: 3q^2+4q+1
      40: 3q^2+4q+1
      41: 3q^2+4q+1
      42: 3q^2+4q+1
      43: 3q^2+4q+1
      44: 3q^2+4q+1
      45: 3q^2+4q+1
      46: 3q^2+4q+1
      47: 3q^2+4q+1
      48: 3q^2+4q+1
      49: 3q^2+4q+1
      50: 2q^2+3q+1
      51: 2q^2+3q+1
      52: 3q^2+4q+1
      53: 3q^2+4q+1
      54: q^2+4q+1
      55: q^2+4q+1
      56: 3q^2+4q+1
      57: 3q^2+4q+1
      58: q^2+4q+1
      59: q^2+4q+1
      60: 3q^2+4q+1
      61: 3q^2+4q+1
      62: 3q^2+4q+1
      63: q^2+4q+1
      64: q^2+4q+1
      65: q^2+4q+1
      66: q^3+2q^2+2q+1
      67: q^2+4q+1
      68: q^3+2q^2+2q+1
      69: 3q+1
      70: q^2+2q+1
      71: 3q+1
      72: 3q+1
      73: 3q+1
      74: q^2+2q+1
      75: 2q^2+3q+1
      76: 2q^2+3q+1
      77: 2q^2+3q+1
      78: 2q^2+3q+1
      79: 2q^2+3q+1
      80: 2q^2+3q+1
      81: 2q^2+3q+1
      82: 2q^2+3q+1
      83: 2q^2+3q+1
      84: 2q^2+3q+1
      85: 2q^2+3q+1
      86: 2q^2+3q+1
      87: 3q^2+4q+1
      88: q^2+4q+1
      89: 2q+1
      90: 2q+1
      91: 2q+1
      92: 2q+1
      93: 2q+1
      94: 2q+1
      95: q^2+2q+1
      96: q^2+2q+1
      97: q^2+2q+1
      98: q^2+4q+1
      99: q^2+4q+1
     100: 2q^2+3q+1
     101: 2q^2+3q+1
     102: q^2+4q+1
     103: q^2+4q+1
     104: 2q^2+3q+1
     105: 2q^2+3q+1
     106: 3q+1
     107: q^2+2q+1
     108: 3q+1
     109: 3q+1
     110: 3q+1
     111: q^2+2q+1
     112: 3q+1
     113: q^2+2q+1
     114: 3q+1
     115: 3q+1
     116: 3q+1
     117: q^2+2q+1
     118: 3q+1
     119: q^2+2q+1
     120: 3q+1
     121: 3q+1
     122: 3q+1
     123: q^2+2q+1
     124: 2q^2+3q+1
     125: 2q^2+3q+1
     126: 2q^2+3q+1
     127: 2q^2+3q+1
     128: 2q^2+3q+1
     129: 2q^2+3q+1
     130: q+1
     131: q^2+2q+1
     132: q^2+4q+1
     133: q+1
     134: q+1
     135: q+1
     136: 2q+1
     137: 2q+1
     138: 2q+1
     139: 2q+1
     140: 2q+1
     141: 2q+1
     142: 2q+1
     143: 2q+1
     144: 2q+1
     145: 2q+1
     146: 2q+1
     147: 2q+1
     148: 2q+1
     149: 2q+1
     150: 2q+1
     151: 2q+1
     152: 2q+1
     153: 2q+1
     154: 2q^2+3q+1
     155: 2q^2+3q+1
     156: q^2+2q+1
     157: q^2+2q+1
     158: q^2+2q+1
     159: 3q+1
     160: q^2+2q+1
     161: 3q+1
     162: 3q+1
     163: 3q+1
     164: q^2+2q+1
     165: 3q+1
     166: q^2+2q+1
     167: 3q+1
     168: 3q+1
     169: 3q+1
     170: q^2+2q+1
     171: 3q+1
     172: q^2+2q+1
     173: 3q+1
     174: 3q+1
     175: 3q+1
     176: q^2+2q+1
     177: q+1
     178: 1
     179: q+1
     180: q+1
     181: q+1
     182: q^2+2q+1
     183: q+1
     184: q+1
     185: q+1
     186: q+1
     187: q+1
     188: q+1
     189: q+1
     190: 2q+1
     191: 2q+1
     192: 2q+1
     193: 2q+1
     194: 2q+1
     195: 2q+1
     196: 2q+1
     197: 2q+1
     198: 2q+1
     199: 2q+1
     200: 2q+1
     201: 2q+1
     202: 2q+1
     203: 2q+1
     204: q+1
     205: q+1
     206: q+1
     207: 2q+1
     208: 2q+1
     209: 2q+1
     210: 2q+1
     211: 2
     212: q+1
     213: 2
     214: 2
     215: 2
     216: q+1
     217: 3q+1
     218: q^2+2q+1
     219: 3q+1
     220: 3q+1
     221: 3q+1
     222: q^2+2q+1
     223: q+1
     224: 1
     225: 1
     226: 1
     227: q+1
     228: 1
     229: q+1
     230: q+1
     231: q+1
     232: 1
     233: 1
     234: 2
     235: q+1
     236: 2
     237: q+1
     238: q+1
     239: q+1
     240: q+1
     241: 2
     242: 2
     243: q+1
     244: q+1
     245: q+1
     246: q+1
     247: 2
     248: 2
     249: q+1
     250: q+1
     251: q+1
     252: 2q+1
     253: 2q+1
     254: 2q+1
     255: 2q+1
     256: 2q+1
     257: 2q+1
     258: 2
     259: q+1
     260: 2
     261: 2
     262: 2
     263: q+1
     264: 1
     265: 1
     266: 1
     267: 1
     268: 2
     269: 1
     270: 1
     271: 2
     272: q+1
     273: q+1
     274: 1
     275: 2
     276: 2
     277: q+1
     278: 2
     279: 1
     280: 1
     281: 1
     282: 1
     283: 2
     284: 2
     285: 1
     286: 1
     287: 2
     288: 2
     289: q+1
     290: q+1
     291: q+1
     292: q+1
     299: 1
     300: 1
     302: 1
     303: 1
     304: 1
     305: 2
     306: 1
     307: 1
     308: 2
     309: 1
     310: 1
     311: 2
     319: 1
     320: 1
     323: 1
     324: 1
     325: 1
     326: 1
     327: 1
     328: 1
     333: 1
     335: 1
     337: 1
     338: 1
     343: 1
     344: 1
     352: 1

353:   0: q^2+q+1
       1: 2q^2+1
       2: q^2+q+1
       3: q^2+q+1
       4: q^2+q+1
       5: q^2+q+1
       6: 2q^2+1
       7: 2q^2+1
       8: 2q^2+1
       9: q^2+q+1
      10: q^2+q+1
      11: q^2+q+1
      12: q^4+q^2+1
      13: 2q^2+1
      14: q^2+q+1
      15: q^2+q+1
      16: q^2+q+1
      17: q^2+q+1
      18: 2q^2+1
      19: q^4+q^2+1
      20: q^2+1
      21: q^2+1
      22: q^2+1
      23: q^2+1
      24: q^2+1
      25: q^2+1
      26: q+1
      27: q+1
      28: q+1
      29: q^2+1
      30: q+1
      31: q^2+1
      32: q^2+q+1
      33: 2q^2+1
      34: q^2+q+1
      35: q^2+q+1
      36: q^2+q+1
      37: 2q^2+1
      38: q^2+q+1
      39: 2q^2+1
      40: q^2+q+1
      41: q^2+q+1
      42: 2q^2+1
      43: q^2+q+1
      44: q^2+q+1
      45: 2q^2+1
      46: q^2+q+1
      47: q^2+q+1
      48: 2q^2+1
      49: q^2+q+1
      50: q^2+1
      51: q^2+1
      52: q^2+1
      53: q^2+1
      54: q+1
      55: q+1
      56: q^2+1
      57: q^2+1
      58: q+1
      59: q+1
      60: q^2+q+1
      61: 2q^2+1
      62: q^2+q+1
      63: 1
      64: 1
      65: 1
      66: 1
      67: 1
      68: 1
      69: q+1
      70: q^2+1
      71: q+1
      72: q+1
      73: q+1
      74: q^2+1
      75: q^2+q+1
      76: 2q^2+1
      77: q^2+q+1
      78: q^2+q+1
      79: 2q^2+1
      80: q^2+q+1
      81: q^2+q+1
      82: 2q^2+1
      83: q^2+q+1
      84: q^2+q+1
      85: 2q^2+1
      86: q^2+q+1
      87: q^2+1
      88: q+1
      89: 1
      90: 1
      91: q+1
      92: q+1
      93: q+1
      94: q+1
      95: q^2+q+1
      96: 2q^2+1
      97: q^2+q+1
      98: 1
      99: 1
     100: q^2+1
     101: q^2+1
     102: 1
     103: 1
     104: q^2+1
     105: q^2+1
     106: 1
     107: 1
     108: 1
     109: 1
     110: 1
     111: 1
     112: q+1
     113: q^2+1
     114: q+1
     115: q+1
     116: q+1
     117: q^2+1
     118: q+1
     119: q^2+1
     120: q+1
     121: q+1
     122: q+1
     123: q^2+1
     124: q^2+q+1
     125: 2q^2+1
     126: q^2+q+1
     127: q^2+q+1
     128: q^2+q+1
     129: 2q^2+1
     130: q+1
     131: q^2+1
     132: 1
     133: 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
     151: q+1
     152: q+1
     153: q+1
     154: q^2+1
     155: q^2+1
     156: q^2+q+1
     157: 2q^2+1
     158: q^2+q+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: q+1
     172: q^2+1
     173: q+1
     174: q+1
     175: q+1
     176: q^2+1
     177: 1
     178: 1
     179: 1
     180: q+1
     181: q+1
     182: q^2+1
     186: 1
     187: 1
     188: 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
     206: 1
     207: q+1
     208: q+1
     209: q+1
     210: q+1
     211: q+1
     212: q^2+1
     213: q+1
     214: q+1
     215: q+1
     216: q^2+1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     225: 1
     226: 1
     227: 1
     228: 1
     229: 1
     230: 1
     231: q+1
     232: 1
     233: 1
     234: 1
     235: 1
     236: 1
     237: 1
     238: 1
     239: 1
     240: 1
     241: q+1
     242: q+1
     243: 1
     244: 1
     245: 1
     246: 1
     247: q+1
     248: q+1
     252: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     258: 1
     259: 1
     260: 1
     261: 1
     262: 1
     263: 1
     265: 1
     266: 1
     268: 1
     269: 1
     271: 1
     273: 1
     274: 1
     275: q+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
     291: 1
     292: 1
     299: 1
     304: 1
     307: 1
     309: 1
     311: 1
     319: 1
     320: 1
     323: 1
     324: 1
     325: 1
     326: 1
     331: 1
     338: 1
     343: 1
     344: 1
     353: 1

354:   0: 3q+1
       1: q^2+2q+1
       2: 3q+1
       3: q^2+2q+1
       4: 3q+1
       5: 3q+1
       6: q^3+2q^2+2q+1
       7: q^2+2q+1
       8: q^2+2q+1
       9: 3q+1
      10: 3q+1
      11: 3q+1
      12: q^3+2q^2+2q+1
      13: q^2+2q+1
      14: q^2+2q+1
      15: 3q+1
      16: q^2+2q+1
      17: q^2+2q+1
      18: q+1
      19: q+1
      20: 2q+1
      21: q^2+2q+1
      22: 2q+1
      23: 2q+1
      24: 2q+1
      25: q+1
      26: 3q+1
      27: 3q+1
      28: 3q+1
      29: q^3+2q^2+2q+1
      30: 3q+1
      31: q+1
      32: 2q+1
      33: q^2+2q+1
      34: 2q+1
      35: 2q+1
      36: 2q+1
      37: q+1
      38: 3q+1
      39: q^2+2q+1
      40: 3q+1
      41: 3q+1
      42: q^2+2q+1
      43: 3q+1
      44: 3q+1
      45: q^2+2q+1
      46: 3q+1
      47: 3q+1
      48: q^2+2q+1
      49: 3q+1
      50: 2q+1
      51: q+1
      52: 2q+1
      53: 2q+1
      54: 3q+1
      55: 3q+1
      56: 2q+1
      57: 2q+1
      58: 3q+1
      59: 3q+1
      60: 3q+1
      61: q^2+2q+1
      62: 3q+1
      63: 2q+1
      64: 2q+1
      65: 2q+1
      66: q^2+2q+1
      67: 2q+1
      68: q+1
      69: 2q+1
      70: q^2+2q+1
      71: 2q+1
      72: 2q+1
      73: 2q+1
      74: q+1
      75: 2q+1
      76: q^2+2q+1
      77: 2q+1
      78: 2q+1
      79: q+1
      80: 2q+1
      81: 2q+1
      82: q^2+2q+1
      83: 2q+1
      84: 2q+1
      85: q+1
      86: 2q+1
      87: 2q+1
      88: 3q+1
      89: 2q+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: 2q+1
      99: 2q+1
     100: 2q+1
     101: q+1
     102: 2q+1
     103: 2q+1
     104: 2q+1
     105: q+1
     106: 2q+1
     107: 2q+1
     108: q+1
     109: q+1
     110: 1
     111: 1
     112: 2q+1
     113: q^2+2q+1
     114: 2q+1
     115: 2q+1
     116: 2q+1
     117: q+1
     118: 2q+1
     119: q^2+2q+1
     120: 2q+1
     121: 2q+1
     122: 2q+1
     123: q+1
     124: 2q+1
     125: q^2+2q+1
     126: 2q+1
     127: 2q+1
     128: 2q+1
     129: q+1
     130: 1
     131: q+1
     132: 2q+1
     133: q+1
     134: q+1
     135: q+1
     136: 2q+1
     137: 1
     138: q+1
     139: 1
     140: q+1
     141: 1
     142: 2q+1
     143: q+1
     144: q+1
     145: q+1
     146: q+1
     147: q+1
     148: 2q+1
     149: q+1
     150: q+1
     151: q+1
     152: q+1
     153: q+1
     154: 2q+1
     155: q+1
     156: q+1
     157: q+1
     158: q+1
     159: 2q+1
     160: 2q+1
     161: q+1
     162: q+1
     163: 1
     164: 1
     165: 2q+1
     166: 2q+1
     167: q+1
     168: q+1
     169: 1
     170: 1
     171: 2q+1
     172: q^2+2q+1
     173: 2q+1
     174: 2q+1
     175: 2q+1
     176: q+1
     177: q+1
     178: 1
     179: 1
     180: 1
     181: 1
     182: q+1
     186: q+1
     187: 1
     188: q+1
     189: 1
     190: 2q+1
     191: 1
     192: q+1
     193: 1
     194: q+1
     195: 1
     196: 2q+1
     197: 1
     198: q+1
     199: 1
     200: q+1
     201: 1
     202: 2q+1
     203: q+1
     204: q+1
     205: q+1
     206: q+1
     207: q+1
     208: q+1
     209: q+1
     210: q+1
     211: 2
     212: q+1
     213: 2
     214: 2
     215: 2
     216: q+1
     217: 2q+1
     218: 2q+1
     219: q+1
     220: q+1
     221: 1
     222: 1
     225: 1
     226: 1
     227: 1
     228: 1
     229: 1
     230: q+1
     231: 1
     232: 1
     233: 1
     234: 2
     235: q+1
     236: 2
     237: q+1
     238: 1
     239: q+1
     240: 1
     241: 2
     242: 2
     243: q+1
     244: 1
     245: q+1
     246: 1
     247: 2
     248: 2
     252: 2q+1
     253: 1
     254: q+1
     255: 1
     256: q+1
     257: 1
     258: 1
     259: q+1
     260: 1
     261: 1
     262: 1
     265: 1
     266: 1
     268: 2
     269: 1
     271: 2
     273: 1
     274: 1
     275: 2
     279: 1
     281: 1
     282: 1
     283: 1
     284: 1
     285: 1
     286: 1
     287: 1
     288: 1
     289: q+1
     290: 1
     291: q+1
     292: 1
     293: 1
     294: q+1
     295: 1
     296: 1
     297: 1
     299: 1
     300: 1
     304: 1
     307: 1
     309: 1
     311: 1
     315: 1
     317: 1
     318: 1
     319: 1
     321: 1
     322: 1
     323: 1
     325: 1
     326: 1
     336: 1
     338: 1
     339: 1
     341: 1
     343: 1
     354: 1

355:   0: 3q+1
       1: q^2+2q+1
       2: 3q+1
       3: q^2+2q+1
       4: 3q+1
       5: 3q+1
       6: q+1
       7: q^2+2q+1
       8: q^2+2q+1
       9: 3q+1
      10: 3q+1
      11: 3q+1
      12: q+1
      13: q^2+2q+1
      14: q^2+2q+1
      15: 3q+1
      16: q^2+2q+1
      17: q^2+2q+1
      18: q^3+2q^2+2q+1
      19: q^3+2q^2+2q+1
      20: 2q+1
      21: q+1
      22: 2q+1
      23: 2q+1
      24: 2q+1
      25: q^2+2q+1
      26: 3q+1
      27: 3q+1
      28: 3q+1
      29: q+1
      30: 3q+1
      31: q^3+2q^2+2q+1
      32: 2q+1
      33: q+1
      34: 2q+1
      35: 2q+1
      36: 2q+1
      37: q^2+2q+1
      38: 3q+1
      39: q^2+2q+1
      40: 3q+1
      41: 3q+1
      42: q^2+2q+1
      43: 3q+1
      44: 3q+1
      45: q^2+2q+1
      46: 3q+1
      47: 3q+1
      48: q^2+2q+1
      49: 3q+1
      50: q+1
      51: 2q+1
      52: 2q+1
      53: 2q+1
      54: 3q+1
      55: 3q+1
      56: 2q+1
      57: 2q+1
      58: 3q+1
      59: 3q+1
      60: 3q+1
      61: q^2+2q+1
      62: 3q+1
      63: 2q+1
      64: 2q+1
      65: 2q+1
      66: q+1
      67: 2q+1
      68: q^2+2q+1
      69: 2q+1
      70: q+1
      71: 2q+1
      72: 2q+1
      73: 2q+1
      74: q^2+2q+1
      75: 2q+1
      76: q+1
      77: 2q+1
      78: 2q+1
      79: q^2+2q+1
      80: 2q+1
      81: 2q+1
      82: q+1
      83: 2q+1
      84: 2q+1
      85: q^2+2q+1
      86: 2q+1
      87: 2q+1
      88: 3q+1
      89: q+1
      90: 2q+1
      91: q+1
      92: q+1
      93: q+1
      94: q+1
      95: q+1
      96: q+1
      97: q+1
      98: 2q+1
      99: 2q+1
     100: q+1
     101: 2q+1
     102: 2q+1
     103: 2q+1
     104: q+1
     105: 2q+1
     106: 1
     107: 1
     108: q+1
     109: q+1
     110: 2q+1
     111: 2q+1
     112: 2q+1
     113: q+1
     114: 2q+1
     115: 2q+1
     116: 2q+1
     117: q^2+2q+1
     118: 2q+1
     119: q+1
     120: 2q+1
     121: 2q+1
     122: 2q+1
     123: q^2+2q+1
     124: 2q+1
     125: q+1
     126: 2q+1
     127: 2q+1
     128: 2q+1
     129: q^2+2q+1
     130: 1
     131: q+1
     132: 2q+1
     133: q+1
     134: q+1
     135: q+1
     136: 1
     137: 2q+1
     138: 1
     139: q+1
     140: 1
     141: q+1
     142: q+1
     143: 2q+1
     144: q+1
     145: q+1
     146: q+1
     147: q+1
     148: q+1
     149: 2q+1
     150: q+1
     151: q+1
     152: q+1
     153: q+1
     154: q+1
     155: 2q+1
     156: q+1
     157: q+1
     158: q+1
     159: 1
     160: 1
     161: q+1
     162: q+1
     163: 2q+1
     164: 2q+1
     165: 1
     166: 1
     167: q+1
     168: q+1
     169: 2q+1
     170: 2q+1
     171: 2q+1
     172: q+1
     173: 2q+1
     174: 2q+1
     175: 2q+1
     176: q^2+2q+1
     177: q+1
     178: 1
     179: 1
     180: 1
     181: 1
     182: q+1
     186: 1
     187: q+1
     188: 1
     189: q+1
     190: 1
     191: 2q+1
     192: 1
     193: q+1
     194: 1
     195: q+1
     196: 1
     197: 2q+1
     198: 1
     199: q+1
     200: 1
     201: q+1
     202: q+1
     203: 2q+1
     204: q+1
     205: q+1
     206: q+1
     207: q+1
     208: q+1
     209: q+1
     210: q+1
     211: 2
     212: q+1
     213: 2
     214: 2
     215: 2
     216: q+1
     217: 1
     218: 1
     219: q+1
     220: q+1
     221: 2q+1
     222: 2q+1
     225: 1
     226: 1
     227: 1
     228: 1
     229: 1
     230: q+1
     231: 1
     232: 1
     233: 1
     234: 2
     235: q+1
     236: 2
     237: 1
     238: q+1
     239: 1
     240: q+1
     241: 2
     242: 2
     243: 1
     244: q+1
     245: 1
     246: q+1
     247: 2
     248: 2
     252: 1
     253: 2q+1
     254: 1
     255: q+1
     256: 1
     257: q+1
     258: 1
     260: 1
     261: 1
     262: 1
     263: q+1
     265: 1
     266: 1
     268: 2
     269: 1
     271: 2
     273: 1
     274: 1
     275: 2
     280: 1
     281: 1
     282: 1
     283: 1
     284: 1
     285: 1
     286: 1
     287: 1
     288: 1
     289: 1
     290: q+1
     291: 1
     292: q+1
     293: 1
     295: 1
     296: 1
     297: 1
     298: q+1
     299: 1
     300: 1
     304: 1
     307: 1
     309: 1
     311: 1
     316: 1
     317: 1
     318: 1
     320: 1
     321: 1
     322: 1
     324: 1
     325: 1
     326: 1
     336: 1
     338: 1
     340: 1
     342: 1
     344: 1
     355: 1

356:   0: q+1
       1: q+1
       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^2+q+1
      10: q^2+q+1
      11: q+1
      12: q+1
      13: q+1
      14: q^2+q+1
      15: q+1
      16: q^2+q+1
      17: q+1
      18: q+1
      19: q+1
      20: q+1
      21: q+1
      22: q^2+q+1
      23: q^2+q+1
      24: q+1
      25: q+1
      26: q+1
      27: q^2+q+1
      28: q^2+q+1
      29: q+1
      30: q+1
      31: q+1
      32: q+1
      33: q+1
      34: q^2+q+1
      35: q^2+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^2+q+1
      65: q^2+q+1
      66: q+1
      67: q+1
      68: q+1
      69: q+1
      70: q+1
      71: q^2+q+1
      72: q^2+q+1
      73: q+1
      74: q+1
      75: q+1
      76: q+1
      77: 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+1
      97: q+1
      98: q+1
      99: q+1
     100: q+1
     101: q+1
     102: q+1
     103: q+1
     104: q+1
     105: q+1
     106: q+1
     107: q+1
     108: q^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+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: q+1
     127: q+1
     128: 1
     129: 1
     130: q+1
     131: q+1
     132: q+1
     133: 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: 1
     145: 1
     146: q+1
     147: q+1
     148: q+1
     149: q+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+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: q+1
     174: q+1
     175: 1
     176: 1
     177: q+1
     178: q+1
     179: q+1
     180: 1
     181: 1
     182: 1
     183: q+1
     184: q+1
     185: q+1
     186: q+1
     187: q+1
     188: q+1
     189: q+1
     190: q+1
     191: q+1
     192: 1
     193: 1
     194: q+1
     195: q+1
     196: q+1
     197: q+1
     198: q+1
     199: q+1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     206: q+1
     207: 1
     208: 1
     209: 1
     210: 1
     211: 1
     212: 1
     213: q+1
     214: q+1
     215: 1
     216: 1
     217: 1
     218: 1
     219: q+1
     220: q+1
     221: 1
     222: 1
     223: q+1
     224: q+1
     225: q+1
     226: 1
     227: 1
     228: 1
     229: 1
     230: 1
     231: 1
     232: 1
     233: 1
     234: 1
     235: 1
     236: q+1
     237: 1
     238: 1
     239: q+1
     240: q+1
     241: 1
     242: 1
     243: q+1
     244: q+1
     245: 1
     246: 1
     247: 1
     248: 1
     249: 1
     250: 1
     251: q+1
     252: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     258: 1
     259: 1
     260: q+1
     261: q+1
     262: 1
     263: 1
     264: q+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: q+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
     291: 1
     292: 1
     293: 1
     294: 1
     295: q+1
     296: 1
     297: q+1
     298: 1
     299: 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: q+1
     315: 1
     316: 1
     317: 1
     318: 1
     319: 1
     320: 1
     321: 1
     322: 1
     323: 1
     324: 1
     327: 1
     330: 1
     331: 1
     332: 1
     333: 1
     334: 1
     335: 1
     336: 1
     337: 1
     339: 1
     340: 1
     341: 1
     342: 1
     345: 1
     348: 1
     349: 1
     350: 1
     351: 1
     356: 1

357:   0: 5q^2+3q
       1: 5q^2+3q
       2: 2q^3+5q^2+3q
       3: 5q^2+3q
       4: 2q^3+5q^2+3q
       5: 2q^3+5q^2+3q
       6: 5q^2+3q
       7: 2q^3+5q^2+3q
       8: 2q^3+5q^2+3q
       9: 3q^3+5q^2+3q
      10: 3q^3+5q^2+3q
      11: 5q^2+3q
      12: q^3+3q^2+2q
      13: 5q^2+3q
      14: 3q^3+5q^2+3q
      15: 2q^3+5q^2+3q
      16: 3q^3+5q^2+3q
      17: 5q^2+3q
      18: 5q^2+3q
      19: q^3+3q^2+2q
      20: 5q^2+3q
      21: 5q^2+3q
      22: 2q^3+5q^2+3q
      23: 2q^3+5q^2+3q
      24: 5q^2+3q
      25: 5q^2+3q
      26: 4q^2+3q
      27: q^3+4q^2+3q
      28: q^3+4q^2+3q
      29: 3q^2+2q
      30: 4q^2+3q
      31: 3q^2+2q
      32: 5q^2+3q
      33: 5q^2+3q
      34: 3q^3+5q^2+3q
      35: 3q^3+5q^2+3q
      36: 5q^2+3q
      37: 5q^2+3q
      38: 4q^2+3q
      39: 4q^2+3q
      40: q^3+4q^2+3q
      41: 4q^2+3q
      42: 4q^2+3q
      43: q^3+4q^2+3q
      44: 4q^2+3q
      45: 4q^2+3q
      46: q^3+4q^2+3q
      47: 4q^2+3q
      48: 4q^2+3q
      49: q^3+4q^2+3q
      50: 5q^2+3q
      51: 5q^2+3q
      52: 4q^2+3q
      53: 4q^2+3q
      54: 3q^2+3q
      55: 3q^2+3q
      56: 4q^2+3q
      57: 4q^2+3q
      58: 3q^2+3q
      59: 3q^2+3q
      60: 3q^2+3q
      61: 3q^2+3q
      62: 3q^2+3q
      63: 4q^2+3q
      64: q^3+4q^2+3q
      65: q^3+4q^2+3q
      66: 3q^2+2q
      67: 4q^2+3q
      68: 3q^2+2q
      69: 4q^2+3q
      70: 3q^2+2q
      71: q^3+4q^2+3q
      72: q^3+4q^2+3q
      73: 4q^2+3q
      74: 3q^2+2q
      75: 4q^2+3q
      76: 4q^2+3q
      77: q^3+4q^2+3q
      78: 4q^2+3q
      79: 4q^2+3q
      80: q^3+4q^2+3q
      81: 4q^2+3q
      82: 4q^2+3q
      83: q^3+4q^2+3q
      84: 4q^2+3q
      85: 4q^2+3q
      86: q^3+4q^2+3q
      87: 3q^2+3q
      88: 2q^2+3q
      89: 2q^2+2q
      90: 2q^2+2q
      91: 3q^2+3q
      92: 3q^2+3q
      93: 3q^2+3q
      94: 3q^2+3q
      95: 3q^2+3q
      96: 3q^2+3q
      97: 3q^2+3q
      98: 3q^2+3q
      99: 3q^2+3q
     100: 4q^2+3q
     101: 4q^2+3q
     102: 3q^2+3q
     103: 3q^2+3q
     104: 4q^2+3q
     105: 4q^2+3q
     106: 4q^2+3q
     107: 3q^2+2q
     108: q^3+4q^2+3q
     109: q^3+4q^2+3q
     110: 4q^2+3q
     111: 3q^2+2q
     112: 2q^2+3q
     113: 2q^2+2q
     114: 2q^2+3q
     115: 2q^2+3q
     116: 2q^2+3q
     117: 2q^2+2q
     118: 2q^2+3q
     119: 2q^2+2q
     120: 2q^2+3q
     121: 2q^2+3q
     122: 2q^2+3q
     123: 2q^2+2q
     124: q^2+3q
     125: q^2+3q
     126: 3q^2+3q
     127: 3q^2+3q
     128: q^2+3q
     129: q^2+3q
     130: 2q^2+3q
     131: 3q^2+3q
     132: 2q^2+3q
     133: 2q
     134: q^2+q
     135: 2q
     136: 2q^2+2q
     137: 2q^2+2q
     138: 3q^2+3q
     139: 3q^2+3q
     140: 3q^2+3q
     141: 3q^2+3q
     142: q^2+2q
     143: q^2+2q
     144: 2q
     145: 2q
     146: 2q^2+3q
     147: 2q^2+3q
     148: q^2+2q
     149: q^2+2q
     150: 2q^2+3q
     151: 2q^2+3q
     152: 2q
     153: 2q
     154: q^2+3q
     155: q^2+3q
     156: q^2+3q
     157: q^2+3q
     158: 3q^2+3q
     159: 2q^2+3q
     160: 2q^2+2q
     161: 2q^2+3q
     162: 2q^2+3q
     163: 2q^2+3q
     164: 2q^2+2q
     165: 2q^2+3q
     166: 2q^2+2q
     167: 2q^2+3q
     168: 2q^2+3q
     169: 2q^2+3q
     170: 2q^2+2q
     171: 3q
     172: 2q
     173: q^2+3q
     174: q^2+3q
     175: 3q
     176: 2q
     177: q
     178: 2q
     179: 2q^2+3q
     180: 2q
     181: 2q
     182: q^2+3q
     183: 2q
     184: q^2+q
     185: 2q
     186: q^2+2q
     187: q^2+2q
     188: q^2+2q
     189: q^2+2q
     190: q^2+2q
     191: q^2+2q
     192: 2q
     193: 2q
     194: 2q^2+3q
     195: 2q^2+3q
     196: q^2+2q
     197: q^2+2q
     198: 2q^2+3q
     199: 2q^2+3q
     200: 2q
     201: 2q
     202: 2q
     203: 2q
     204: 2q
     205: q
     206: 2q
     207: 2q
     208: 2q
     209: 2q
     210: 2q
     211: 3q
     212: 2q
     213: q^2+3q
     214: q^2+3q
     215: 3q
     216: 2q
     217: 3q
     218: 2q
     219: q^2+3q
     220: q^2+3q
     221: 3q
     222: 2q
     223: q
     224: 2q
     225: q
     226: q
     227: 2q
     228: q
     229: 2q
     230: q
     231: q
     232: 2q
     233: 2q
     234: 2q
     235: q
     236: 2q
     237: q
     238: q
     239: q^2+2q
     240: q^2+2q
     241: 2q
     242: 2q
     243: q^2+2q
     244: q^2+2q
     245: q
     246: q
     247: 2q
     248: 2q
     249: 2q
     250: q
     251: 2q
     252: 2q
     253: 2q
     254: 2q
     255: 2q
     256: 2q
     257: 2q
     258: 3q
     259: 2q
     260: q^2+3q
     261: q^2+3q
     262: 3q
     263: 2q
     264: q
     265: q
     267: q
     268: q
     270: q
     271: q
     272: q
     273: q
     275: q
     276: 2q
     277: q
     278: 2q
     279: 2q
     280: 2q
     281: q
     282: q
     283: 2q
     284: 2q
     285: q
     286: q
     287: 2q
     288: 2q
     289: q
     290: q
     291: q
     292: q
     293: 1
     294: 1
     295: q+1
     296: 1
     297: q+1
     298: 1
     302: q
     305: q
     308: q
     311: q
     312: 1
     313: 1
     314: q+1
     315: 1
     316: 1
     317: 1
     318: 1
     319: q
     320: q
     321: 1
     322: 1
     323: q
     324: q
     330: 1
     332: 1
     334: 1
     336: 1
     339: 1
     340: 1
     341: 1
     342: 1
     346: 1
     349: 1
     350: 1
     351: 1
     357: 1

358:   0: q^2+q
       1: q^4+q
       2: q^2+q
       3: q^2+q
       4: q^3+q^2+q
       5: q^3+q^2+q
       6: q^4+q
       7: q
       8: q
       9: q^3+q^2+q
      10: q^3+q^2+q
      11: q^2+q
      12: q^4+q
      13: q^4+q
      14: q^3+q^2+q
      15: q^2+q
      16: q^3+q^2+q
      17: q^2+q
      18: q^4+q
      19: q^4+q
      20: q
      21: q
      22: q
      23: q
      24: q
      25: q
      26: q^2+q
      27: q^3+q^2+q
      28: q^3+q^2+q
      29: q^4+q
      30: q^2+q
      31: q^4+q
      32: q^2+q
      33: q^4+q
      34: q^3+q^2+q
      35: q^3+q^2+q
      36: q^2+q
      37: q^4+q
      38: q^2+q
      39: q
      40: q^2+q
      41: q^2+q
      42: q
      43: q^2+q
      44: q^2+q
      45: q
      46: q^2+q
      47: q^2+q
      48: q
      49: q^2+q
      50: q
      51: q
      52: q
      53: q
      54: q^2+q
      55: q^2+q
      56: q
      57: q
      58: q^2+q
      59: q^2+q
      60: q^2+q
      61: q
      62: q^2+q
      63: q
      64: q
      65: q
      66: q
      67: q
      68: q
      69: q^2+q
      70: q^4+q
      71: q^3+q^2+q
      72: q^3+q^2+q
      73: q^2+q
      74: q^4+q
      75: q^2+q
      76: q
      77: q^2+q
      78: q^2+q
      79: q
      80: q^2+q
      81: q^2+q
      82: q
      83: q^2+q
      84: q^2+q
      85: q
      86: q^2+q
      87: q
      88: q^2+q
      89: q
      90: q
      91: q^2+q
      92: q^2+q
      93: q^2+q
      94: q^2+q
      95: q^2+q
      96: q
      97: q^2+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
     111: q
     112: q^2+q
     113: q
     114: q^2+q
     115: q^2+q
     116: q^2+q
     117: q
     118: q^2+q
     119: q
     120: q^2+q
     121: q^2+q
     122: q^2+q
     123: q
     124: q
     125: q
     126: q^2+q
     127: q^2+q
     128: q
     129: q
     130: q^2+q
     131: q
     132: q
     133: q^2+q
     134: q
     135: q^2+q
     136: q
     137: q
     138: q
     139: q
     140: q
     141: q
     142: q
     143: q
     144: q
     145: q
     146: q^2+q
     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
     160: q
     161: q
     162: q
     163: q
     164: q
     165: q
     166: q
     167: q
     168: q
     169: q
     170: q
     171: q
     172: q
     173: q^2+q
     174: q^2+q
     175: q
     176: q
     177: q
     178: q^2+q
     179: q
     180: q
     181: q
     182: q
     183: q
     184: q
     185: q
     186: q
     187: q
     188: q
     189: q
     190: q
     191: q
     192: q
     193: q
     194: q
     195: q
     196: q
     197: q
     198: q
     199: q
     200: q
     201: q
     202: q
     203: q
     204: q
     205: q
     206: q^2+q
     207: q
     208: q
     209: q
     210: q
     211: q
     212: q
     213: q^2+q
     214: q^2+q
     215: q
     216: q
     223: q
     224: q
     225: q
     226: q
     227: q
     228: q
     229: q
     230: q
     231: q
     232: q
     233: q
     234: q
     235: q
     236: q^2+q
     237: q
     238: q
     239: q
     240: q
     241: q
     242: q
     243: q
     244: q
     245: q
     246: q
     247: q
     248: q
     264: q
     265: q
     266: q
     268: q
     269: q
     271: q
     274: q
     275: q
     281: q
     282: q
     285: q
     286: q
     299: q
     304: q
     307: q
     310: 1
     329: 1
     337: 1
     347: 1
     348: 1
     358: 1

359:   0: 3q+1
       1: 3q+1
       2: 3q+1
       3: q^2+2q+1
       4: 3q+1
       5: 3q+1
       6: q^2+2q+1
       7: 3q+1
       8: 3q+1
       9: 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: q^2+2q+1
      22: 3q+1
      23: 3q+1
      24: 3q+1
      25: q^2+2q+1
      26: 3q+1
      27: 3q+1
      28: 3q+1
      29: q^2+2q+1
      30: 3q+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: 3q+1
      45: 3q+1
      46: 3q+1
      47: 3q+1
      48: 3q+1
      49: 3q+1
      50: 2q+1
      51: 2q+1
      52: 3q+1
      53: 3q+1
      54: 3q+1
      55: 3q+1
      56: 3q+1
      57: 3q+1
      58: 3q+1
      59: 3q+1
      60: 3q+1
      61: 3q+1
      62: 3q+1
      63: 3q+1
      64: 3q+1
      65: 3q+1
      66: q^2+2q+1
      67: 3q+1
      68: q^2+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: 2q+1
      78: 2q+1
      79: 2q+1
      80: 2q+1
      81: 2q+1
      82: 2q+1
      83: 2q+1
      84: 2q+1
      85: 2q+1
      86: 2q+1
      87: 3q+1
      88: 3q+1
      89: 2q+1
      90: 2q+1
      91: q+1
      92: q+1
      93: q+1
      94: q+1
      95: q+1
      96: q+1
      97: q+1
      98: 3q+1
      99: 3q+1
     100: 2q+1
     101: 2q+1
     102: 3q+1
     103: 3q+1
     104: 2q+1
     105: 2q+1
     106: 2q+1
     107: 2q+1
     108: 2q+1
     109: 2q+1
     110: 2q+1
     111: 2q+1
     112: 2q+1
     113: 2q+1
     114: 2q+1
     115: 2q+1
     116: 2q+1
     117: 2q+1
     118: 2q+1
     119: 2q+1
     120: 2q+1
     121: 2q+1
     122: 2q+1
     123: 2q+1
     124: 2q+1
     125: 2q+1
     126: 2q+1
     127: 2q+1
     128: 2q+1
     129: 2q+1
     130: 1
     131: q+1
     132: 3q+1
     133: q+1
     134: q+1
     135: q+1
     136: 2q+1
     137: 2q+1
     138: q+1
     139: 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: 2q+1
     149: 2q+1
     150: q+1
     151: q+1
     152: q+1
     153: q+1
     154: 2q+1
     155: 2q+1
     156: q+1
     157: q+1
     158: q+1
     159: 2q+1
     160: 2q+1
     161: 2q+1
     162: 2q+1
     163: 2q+1
     164: 2q+1
     165: 2q+1
     166: 2q+1
     167: 2q+1
     168: 2q+1
     169: 2q+1
     170: 2q+1
     171: 2q+1
     172: 2q+1
     173: 2q+1
     174: 2q+1
     175: 2q+1
     176: 2q+1
     177: q+1
     178: 1
     179: 1
     180: 1
     181: 1
     182: q+1
     183: q+1
     184: q+1
     185: q+1
     186: q+1
     187: q+1
     188: q+1
     189: q+1
     190: 2q+1
     191: 2q+1
     192: q+1
     193: q+1
     194: q+1
     195: q+1
     196: 2q+1
     197: 2q+1
     198: q+1
     199: q+1
     200: q+1
     201: q+1
     202: 2q+1
     203: 2q+1
     204: q+1
     205: q+1
     206: q+1
     207: q+1
     208: q+1
     209: q+1
     210: q+1
     211: 2
     212: q+1
     213: 2
     214: 2
     215: 2
     216: q+1
     217: 2q+1
     218: 2q+1
     219: 2q+1
     220: 2q+1
     221: 2q+1
     222: 2q+1
     223: q+1
     224: 1
     225: 1
     226: 1
     227: 1
     228: 1
     229: 1
     230: q+1
     231: 1
     232: 1
     233: 1
     234: 2
     235: q+1
     236: 2
     237: q+1
     238: q+1
     239: q+1
     240: q+1
     241: 2
     242: 2
     243: q+1
     244: q+1
     245: q+1
     246: q+1
     247: 2
     248: 2
     249: q+1
     250: q+1
     251: q+1
     252: 2q+1
     253: 2q+1
     254: q+1
     255: q+1
     256: q+1
     257: q+1
     258: 2
     259: q+1
     260: 2
     261: 2
     262: 2
     263: q+1
     264: 1
     265: 1
     266: 1
     267: 1
     268: 2
     269: 1
     270: 1
     271: 2
     272: q+1
     273: 1
     274: 1
     275: 2
     276: 2
     277: q+1
     278: 2
     279: 1
     280: 1
     281: 1
     282: 1
     283: 2
     284: 2
     285: 1
     286: 1
     287: 2
     288: 2
     289: q+1
     290: q+1
     291: q+1
     292: q+1
     293: 2
     294: q+1
     295: 2
     296: 2
     297: 2
     298: q+1
     299: 1
     300: 1
     302: 1
     303: 1
     304: 1
     305: 2
     306: 1
     307: 1
     308: 2
     309: 1
     310: 1
     311: 2
     312: 2
     313: q+1
     314: 2
     315: 1
     316: 1
     317: 2
     318: 2
     319: 1
     320: 1
     321: 2
     322: 2
     323: 1
     324: 1
     325: 1
     326: 1
     327: 1
     328: 1
     330: 1
     332: 2
     333: 1
     334: 2
     335: 1
     336: 2
     337: 1
     338: 1
     339: 1
     340: 1
     341: 1
     342: 1
     343: 1
     344: 1
     345: 1
     346: 1
     350: 1
     351: 1
     352: 1
     354: 1
     355: 1
     359: 1

360:   0: 1
       1: 1
       2: q^3+1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
       8: 1
       9: q^3+1
      10: q^3+1
      11: 1
      12: q^5+1
      13: 1
      14: q^3+1
      15: q^3+1
      16: q^3+1
      17: 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: 1
      33: 1
      34: q^3+1
      35: q^3+1
      36: 1
      37: 1
      38: 1
      39: 1
      40: q^3+1
      41: 1
      42: 1
      43: q^3+1
      44: 1
      45: 1
      46: q^3+1
      47: 1
      48: 1
      49: q^3+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: q^3+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: q^3+1
      78: 1
      79: 1
      80: q^3+1
      81: 1
      82: 1
      83: q^3+1
      84: 1
      85: 1
      86: q^3+1
      87: 1
      88: 1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 1
      97: q^3+1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: 1
     109: 1
     110: 1
     111: 1
     112: 1
     113: 1
     114: 1
     115: 1
     116: 1
     117: 1
     118: 1
     119: 1
     120: 1
     121: 1
     122: 1
     123: 1
     124: 1
     125: 1
     126: q^3+1
     127: q^3+1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 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
     151: 1
     152: 1
     153: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: q^3+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
     184: 1
     185: 1
     186: 1
     187: 1
     188: 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
     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: 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
     243: 1
     244: 1
     245: 1
     246: 1
     247: 1
     248: 1
     249: 1
     250: 1
     251: 1
     252: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     258: 1
     259: 1
     260: 1
     261: 1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     267: 1
     268: 1
     269: 1
     270: 1
     271: 1
     272: 1
     273: 1
     274: 1
     275: 1
     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
     291: 1
     292: 1
     299: 1
     302: 1
     303: 1
     304: 1
     305: 1
     306: 1
     307: 1
     308: 1
     309: 1
     310: 1
     311: 1
     319: 1
     320: 1
     323: 1
     324: 1
     325: 1
     326: 1
     327: 1
     331: 1
     333: 1
     335: 1
     337: 1
     338: 1
     343: 1
     344: 1
     348: 1
     352: 1
     353: 1
     360: 1

361:   0: q+1
       1: q^2+1
       2: q+1
       3: q+1
       4: q+1
       5: q+1
       6: q^2+1
       7: q^2+1
       8: q^2+1
       9: q+1
      10: q+1
      11: q+1
      12: q^2+1
      13: q^2+1
      14: q+1
      15: q+1
      16: q+1
      17: q+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^2+1
      30: q+1
      31: q^2+1
      32: q+1
      33: q^2+1
      34: q+1
      35: q+1
      36: q+1
      37: q^2+1
      38: q+1
      39: q^2+1
      40: q+1
      41: q+1
      42: q^2+1
      43: q+1
      44: q+1
      45: q^2+1
      46: q+1
      47: q+1
      48: q^2+1
      49: q+1
      50: 1
      51: 1
      52: 1
      53: 1
      54: q+1
      55: q+1
      56: 1
      57: 1
      58: q+1
      59: q+1
      60: q+1
      61: q^2+1
      62: q+1
      63: 1
      64: 1
      65: 1
      66: 1
      67: 1
      68: 1
      69: q+1
      70: q^2+1
      71: q+1
      72: q+1
      73: q+1
      74: q^2+1
      75: q+1
      76: q^2+1
      77: q+1
      78: q+1
      79: q^2+1
      80: q+1
      81: q+1
      82: q^2+1
      83: q+1
      84: q+1
      85: q^2+1
      86: q+1
      87: 1
      88: q+1
      89: 1
      90: 1
      91: q+1
      92: q+1
      93: q+1
      94: q+1
      95: q+1
      96: q^2+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: 1
     109: 1
     110: 1
     111: 1
     112: q+1
     113: q^2+1
     114: q+1
     115: q+1
     116: q+1
     117: q^2+1
     118: q+1
     119: q^2+1
     120: q+1
     121: q+1
     122: q+1
     123: q^2+1
     124: q+1
     125: q^2+1
     126: q+1
     127: q+1
     128: q+1
     129: q^2+1
     130: q+1
     131: 1
     132: 1
     133: q+1
     134: q^2+1
     135: q+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
     151: q+1
     152: q+1
     153: q+1
     154: 1
     155: 1
     156: q+1
     157: q^2+1
     158: q+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: q+1
     172: q^2+1
     173: q+1
     174: q+1
     175: q+1
     176: q^2+1
     177: 1
     178: q+1
     179: 1
     180: q+1
     181: q+1
     182: 1
     186: 1
     187: 1
     188: 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: q+1
     205: q^2+1
     206: q+1
     207: q+1
     208: q+1
     209: q+1
     210: q+1
     211: q+1
     212: q^2+1
     213: q+1
     214: q+1
     215: q+1
     216: q^2+1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     225: 1
     226: q+1
     227: 1
     228: q+1
     229: 1
     230: 1
     231: q+1
     232: 1
     233: 1
     234: q+1
     235: q^2+1
     236: q+1
     237: 1
     238: 1
     239: 1
     240: 1
     241: q+1
     242: q+1
     243: 1
     244: 1
     245: 1
     246: 1
     247: q+1
     248: q+1
     252: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     258: 1
     259: 1
     260: 1
     261: 1
     262: 1
     263: 1
     265: 1
     266: 1
     268: q+1
     269: 1
     271: q+1
     273: 1
     274: q+1
     275: q+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
     291: 1
     292: 1
     293: 1
     294: 1
     295: 1
     296: 1
     297: 1
     298: 1
     299: q+1
     304: 1
     307: 1
     309: 1
     311: 1
     315: 1
     316: 1
     317: 1
     318: 1
     319: 1
     320: 1
     321: 1
     322: 1
     323: 1
     324: 1
     325: 1
     326: 1
     331: 1
     336: 1
     338: 1
     339: 1
     340: 1
     341: 1
     342: 1
     343: 1
     344: 1
     349: 1
     353: 1
     354: 1
     355: 1
     361: 1

362:   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
     103: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: 1
     109: 1
     110: 1
     111: 1
     112: 1
     113: 1
     114: 1
     115: 1
     116: 1
     117: 1
     118: 1
     119: 1
     120: 1
     121: 1
     122: 1
     123: 1
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 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
     151: 1
     152: 1
     153: 1
     154: 1
     155: 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
     184: 1
     185: 1
     186: 1
     187: 1
     188: 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
     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: 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
     243: 1
     244: 1
     245: 1
     246: 1
     247: 1
     248: 1
     249: 1
     250: 1
     251: 1
     252: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     258: 1
     259: 1
     260: 1
     261: 1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     267: 1
     268: 1
     269: 1
     270: 1
     271: 1
     272: 1
     273: 1
     274: 1
     275: 1
     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
     291: 1
     292: 1
     293: 1
     294: 1
     295: 1
     296: 1
     297: 1
     298: 1
     299: 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
     318: 1
     319: 1
     320: 1
     321: 1
     322: 1
     323: 1
     324: 1
     325: 1
     326: 1
     327: 1
     330: 1
     331: 1
     332: 1
     333: 1
     334: 1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: 1
     341: 1
     342: 1
     343: 1
     344: 1
     345: 1
     348: 1
     349: 1
     350: 1
     351: 1
     352: 1
     353: 1
     354: 1
     355: 1
     356: 1
     359: 1
     360: 1
     361: 1
     362: 1

363:   0: q^2+2q
       1: q^2+2q
       2: q^2+2q
       3: q^2+2q
       4: q^2+2q
       5: q^2+2q
       6: q^2+2q
       7: q^2+2q
       8: q^2+2q
       9: q^2+2q
      10: q^2+2q
      11: q^2+2q
      12: q^3+q^2+q
      13: q^2+2q
      14: q^2+2q
      15: q^2+2q
      16: q^2+2q
      17: q^2+2q
      18: q^2+2q
      19: q^3+q^2+q
      20: q^2+2q
      21: q^2+2q
      22: q^2+2q
      23: q^2+2q
      24: q^2+2q
      25: q^2+2q
      26: 2q
      27: 2q
      28: 2q
      29: q^2+q
      30: 2q
      31: q^2+q
      32: q^2+2q
      33: q^2+2q
      34: q^2+2q
      35: q^2+2q
      36: q^2+2q
      37: q^2+2q
      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: q^2+2q
      47: q^2+2q
      48: q^2+2q
      49: q^2+2q
      50: q^2+2q
      51: q^2+2q
      52: q^2+2q
      53: q^2+2q
      54: 2q
      55: 2q
      56: q^2+2q
      57: q^2+2q
      58: 2q
      59: 2q
      60: q^2+2q
      61: q^2+2q
      62: q^2+2q
      63: 2q
      64: 2q
      65: 2q
      66: q^2+q
      67: 2q
      68: q^2+q
      69: 2q
      70: q^2+q
      71: 2q
      72: 2q
      73: 2q
      74: q^2+q
      75: q^2+2q
      76: q^2+2q
      77: q^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^2+2q
      86: q^2+2q
      87: q^2+2q
      88: 2q
      89: q
      90: q
      91: 2q
      92: 2q
      93: 2q
      94: 2q
      95: q^2+2q
      96: q^2+2q
      97: q^2+2q
      98: 2q
      99: 2q
     100: q^2+2q
     101: q^2+2q
     102: 2q
     103: 2q
     104: q^2+2q
     105: q^2+2q
     106: 2q
     107: q^2+q
     108: 2q
     109: 2q
     110: 2q
     111: q^2+q
     112: 2q
     113: q^2+q
     114: 2q
     115: 2q
     116: 2q
     117: q^2+q
     118: 2q
     119: q^2+q
     120: 2q
     121: 2q
     122: 2q
     123: q^2+q
     124: q^2+2q
     125: q^2+2q
     126: q^2+2q
     127: q^2+2q
     128: q^2+2q
     129: q^2+2q
     130: 2q
     131: q^2+2q
     132: 2q
     133: q
     134: q^2
     135: q
     136: q
     137: q
     138: 2q
     139: 2q
     140: 2q
     141: 2q
     142: q
     143: q
     144: 2q
     145: 2q
     146: 2q
     147: 2q
     148: q
     149: q
     150: 2q
     151: 2q
     152: 2q
     153: 2q
     154: q^2+2q
     155: q^2+2q
     156: q^2+2q
     157: q^2+2q
     158: q^2+2q
     159: 2q
     160: q^2+q
     161: 2q
     162: 2q
     163: 2q
     164: q^2+q
     165: 2q
     166: q^2+q
     167: 2q
     168: 2q
     169: 2q
     170: q^2+q
     171: 2q
     172: q^2+q
     173: 2q
     174: 2q
     175: 2q
     176: q^2+q
     178: q
     179: 2q
     180: 2q
     181: 2q
     182: q^2+2q
     183: q
     184: q^2
     185: q
     186: q
     187: q
     188: q
     189: q
     190: q
     191: q
     192: 2q
     193: 2q
     194: 2q
     195: 2q
     196: q
     197: q
     198: 2q
     199: 2q
     200: 2q
     201: 2q
     202: q
     203: q
     204: q
     205: q^2
     206: q
     207: 2q
     208: 2q
     209: 2q
     210: 2q
     211: 2q
     212: q^2+q
     213: 2q
     214: 2q
     215: 2q
     216: q^2+q
     217: 2q
     218: q^2+q
     219: 2q
     220: 2q
     221: 2q
     222: q^2+q
     224: q
     226: q
     227: 2q
     228: q
     229: 2q
     231: 2q
     232: q
     233: q
     234: q
     235: q^2
     236: q
     237: q
     238: q
     239: q
     240: q
     241: 2q
     242: 2q
     243: q
     244: q
     245: q
     246: q
     247: 2q
     248: 2q
     249: q
     250: q^2
     251: q
     252: q
     253: q
     254: 2q
     255: 2q
     256: 2q
     257: 2q
     258: 2q
     259: q^2+q
     260: 2q
     261: 2q
     262: 2q
     263: q^2+q
     267: q
     268: q
     270: q
     271: q
     273: 2q
     274: q
     275: 2q
     276: q
     277: q^2
     278: q
     279: q
     280: q
     281: q
     282: q
     283: 2q
     284: 2q
     285: q
     286: q
     287: 2q
     288: 2q
     289: q
     290: q
     291: q
     292: q
     293: 1
     294: 1
     295: 1
     296: 1
     297: 1
     298: 1
     299: q
     305: q
     308: q
     310: q
     311: 2q
     312: 1
     313: 1
     314: 1
     315: 1
     316: 1
     317: 1
     318: 1
     319: q
     320: q
     321: 1
     322: 1
     323: q
     324: q
     325: q
     326: q
     327: q
     330: 1
     332: 1
     334: 1
     336: 1
     339: 1
     340: 1
     341: 1
     342: 1
     343: q
     344: q
     346: 1
     349: 1
     350: 1
     351: 1
     354: 1
     355: 1
     357: 1
     359: 1
     361: 1
     363: 1

364:   0: q^3+q
       1: q
       2: q^3+q
       3: q
       4: q^3+q
       5: q^3+q
       6: q^5+q
       7: q
       8: q
       9: q^3+q
      10: q^3+q
      11: q^3+q
      12: q^5+q
      13: q
      14: q^4+q^3+q
      15: q^3+q
      16: q^4+q^3+q
      17: 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^5+q
      30: q^3+q
      31: q^5+q
      32: q
      33: q
      34: q^3+q
      35: q^3+q
      36: q
      37: q
      38: q^3+q
      39: q
      40: q^3+q
      41: q^3+q
      42: q
      43: q^3+q
      44: q^3+q
      45: q
      46: q^3+q
      47: q^3+q
      48: q
      49: q^3+q
      50: q
      51: q
      52: q
      53: q
      54: q^3+q
      55: q^3+q
      56: q
      57: q
      58: q^3+q
      59: q^3+q
      60: q^3+q
      61: q
      62: q^3+q
      63: q
      64: q
      65: q
      66: q
      67: q
      68: q
      69: q
      70: q
      71: q^3+q
      72: q^3+q
      73: q
      74: q
      75: q
      76: q
      77: q^3+q
      78: q
      79: q
      80: q^3+q
      81: q
      82: q
      83: q^3+q
      84: q
      85: q
      86: q^3+q
      87: q
      88: q^3+q
      89: q
      90: q
      91: q
      92: q
      93: q
      94: q
      95: q
      96: q
      97: q^3+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
     111: q
     112: q
     113: q
     114: q^3+q
     115: q^3+q
     116: q
     117: q
     118: q
     119: q
     120: q^3+q
     121: q^3+q
     122: q
     123: q
     124: q
     125: q
     126: q^3+q
     127: q^3+q
     128: q
     129: q
     130: q
     131: q
     132: q
     133: q
     134: q
     135: q^3+q
     136: q
     137: q
     138: q
     139: q
     140: q
     141: q
     142: q
     143: q
     144: q
     145: q
     146: q
     147: q
     148: q
     149: q
     150: q
     151: q
     152: q
     153: q
     154: q
     155: q
     156: q
     157: q
     158: q^3+q
     159: q
     160: q
     161: q
     162: q
     163: q
     164: q
     165: q
     166: q
     167: q
     168: q
     169: q
     170: q
     171: q
     172: q
     173: q^3+q
     174: q^3+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: q
     190: q
     191: q
     192: q
     193: q
     194: q
     195: q
     196: q
     197: q
     198: q
     199: q
     200: q
     201: q
     202: q
     203: q
     204: q
     205: q
     206: q^3+q
     207: q
     208: q
     209: q
     210: 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
     225: q
     226: q
     227: q
     228: q
     229: q
     230: q
     231: q
     232: q
     233: q
     234: q
     235: q
     236: q
     237: q
     238: q
     239: q
     240: q
     241: q
     242: q
     243: q
     244: q
     245: q
     246: q
     247: q
     248: q
     249: q
     250: q
     251: q
     252: q
     253: q
     254: q
     255: q
     256: q
     257: q
     264: q
     265: q
     266: q
     267: q
     268: q
     269: q
     270: q
     271: q
     272: q
     273: q
     274: q
     275: q
     281: q
     282: q
     285: q
     286: q
     289: q
     290: q
     291: q
     292: q
     299: q
     303: q
     304: q
     306: q
     307: q
     309: q
     310: q
     325: q
     326: q
     337: q
     338: q
     348: 1
     358: 1
     360: 1
     364: 1

30855 nonzero polynomials, and 260 zero polynomials,
 at 31115 Bruhat-comparable pairs.