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:  20: 1

 21:   5: 1
       9: 1
      21: 1

 22:  10: 1
      14: 1
      22: 1

 23:  11: 1
      15: 1
      23: 1

 24:  16: 1
      17: 1
      24: 1

 25:  18: 1
      19: 1
      25: 1

 26:   1: 1
       5: 1
      26: 1

 27:   6: 1
      10: 1
      27: 1

 28:   7: 1
      11: 1
      28: 1

 29:  12: 1
      16: 1
      29: 1

 30:  19: 1
      20: 1
      30: 1

 31:   0: 1
       1: 1
      31: 1

 32:   3: 1
       6: 1
      32: 1

 33:   4: 1
       7: 1
      33: 1

 34:  16: 1
      18: 1
      34: 1

 35:  17: 1
      19: 1
      35: 1

 36:   0: 1
       2: 1
      36: 1

 37:   4: 1
       8: 1
      37: 1

 38:   6: 1
      12: 1
      38: 1

 39:  10: 1
      16: 1
      39: 1

 40:  14: 1
      17: 1
      40: 1

 41:   0: 1
       3: 1
      41: 1

 42:   1: 1
       6: 1
      42: 1

 43:   5: 1
      10: 1
      43: 1

 44:   8: 1
      13: 1
      44: 1

 45:   9: 1
      14: 1
      45: 1

 46:   0: 1
       4: 1
      46: 1

 47:   1: 1
       7: 1
      47: 1

 48:   2: 1
       8: 1
      48: 1

 49:   5: 1
      11: 1
      49: 1

 50:   9: 1
      15: 1
      50: 1

 51:  16: 1
      17: 1
      18: 1
      19: 1
      24: 1
      25: 1
      34: 1
      35: 1
      51: 1

 52:  10: 1
      14: 1
      16: 1
      17: 1
      22: 1
      24: 1
      39: 1
      40: 1
      52: 1

 53:   6: 1
      10: 1
      12: 1
      16: 1
      27: 1
      29: 1
      38: 1
      39: 1
      53: 1

 54:   5: 1
       9: 1
      10: 1
      14: 1
      21: 1
      22: 1
      43: 1
      45: 1
      54: 1

 55:   1: 1
       5: 1
       6: 1
      10: 1
      26: 1
      27: 1
      42: 1
      43: 1
      55: 1

 56:   0: 1
       1: 1
       3: 1
       6: 1
      31: 1
      32: 1
      41: 1
      42: 1
      56: 1

 57:   5: 1
       9: 1
      11: 1
      15: 1
      21: 1
      23: 1
      49: 1
      50: 1
      57: 1

 58:   1: 1
       5: 1
       7: 1
      11: 1
      26: 1
      28: 1
      47: 1
      49: 1
      58: 1

 59:   0: 1
       1: 1
       4: 1
       7: 1
      31: 1
      33: 1
      46: 1
      47: 1
      59: 1

 60:   0: 1
       2: 1
       4: 1
       8: 1
      36: 1
      37: 1
      46: 1
      48: 1
      60: 1

 61:   1: 1
       5: 1
       9: 1
      21: 1
      26: 1
      61: 1

 62:   6: 1
      10: 1
      14: 1
      22: 1
      27: 1
      62: 1

 63:   7: 1
      11: 1
      15: 1
      23: 1
      28: 1
      63: 1

 64:  12: 1
      16: 1
      17: 1
      24: 1
      29: 1
      64: 1

 65:  18: 1
      19: 1
      20: 1
      25: 1
      30: 1
      65: 1

 66:   0: 1
       1: 1
       5: 1
      26: 1
      31: 1
      66: 1

 67:   3: 1
       6: 1
      10: 1
      27: 1
      32: 1
      67: 1

 68:   4: 1
       7: 1
      11: 1
      28: 1
      33: 1
      68: 1

 69:  12: 1
      16: 1
      18: 1
      29: 1
      34: 1
      69: 1

 70:  17: 1
      19: 1
      20: 1
      30: 1
      35: 1
      70: 1

 71:   0: 1
       1: 1
       2: 1
      31: 1
      36: 1
      71: 1

 72:   4: 1
       7: 1
       8: 1
      33: 1
      37: 1
      72: 1

 73:   3: 1
       6: 1
      12: 1
      32: 1
      38: 1
      73: 1

 74:  10: 1
      16: 1
      18: 1
      34: 1
      39: 1
      74: 1

 75:  14: 1
      17: 1
      19: 1
      35: 1
      40: 1
      75: 1

 76:   0: 1
       2: 1
       3: 1
      36: 1
      41: 1
      76: 1

 77:   1: 1
       6: 1
      12: 1
      38: 1
      42: 1
      77: 1

 78:   4: 1
       8: 1
      13: 1
      37: 1
      44: 1
      78: 1

 79:   5: 1
      10: 1
      16: 1
      39: 1
      43: 1
      79: 1

 80:   9: 1
      14: 1
      17: 1
      40: 1
      45: 1
      80: 1

 81:   0: 1
       3: 1
       4: 1
      41: 1
      46: 1
      81: 1

 82:   1: 1
       6: 1
       7: 1
      42: 1
      47: 1
      82: 1

 83:   2: 1
       8: 1
      13: 1
      44: 1
      48: 1
      83: 1

 84:   5: 1
      10: 1
      11: 1
      43: 1
      49: 1
      84: 1

 85:   9: 1
      14: 1
      15: 1
      45: 1
      50: 1
      85: 1

 86:   0: 1
       4: 1
      46: 1
      86: 1

 87:   1: 1
       7: 1
      47: 1
      87: 1

 88:   2: 1
       8: 1
      48: 1
      88: 1

 89:   5: 1
      11: 1
      49: 1
      89: 1

 90:   9: 1
      15: 1
      50: 1
      90: 1

 91:  12: 1
      16: 1
      17: q+1
      18: q+1
      19: 1
      20: 1
      24: 1
      25: 1
      29: 1
      30: 1
      34: 1
      35: 1
      51: 1
      64: 1
      65: 1
      69: 1
      70: 1
      91: 1

 92:   3: 1
       6: 1
      10: q+1
      12: q+1
      16: 1
      18: 1
      27: 1
      29: 1
      32: 1
      34: 1
      38: 1
      39: 1
      53: 1
      67: 1
      69: 1
      73: 1
      74: 1
      92: 1

 93:   6: 1
      10: 1
      12: 1
      14: 1
      16: 1
      17: 1
      22: 1
      24: 1
      27: 1
      29: 1
      38: 1
      39: 1
      40: 1
      52: 1
      53: 1
      62: 1
      64: 1
      93: 1

 94:  10: 1
      14: 1
      16: 1
      17: 1
      18: 1
      19: 1
      22: 1
      24: 1
      25: 1
      34: 1
      35: 1
      39: 1
      40: 1
      51: 1
      52: 1
      74: 1
      75: 1
      94: 1

 95:   0: 1
       1: q+1
       2: 1
       3: q+1
       6: 1
      12: 1
      31: 1
      32: 1
      36: 1
      38: 1
      41: 1
      42: 1
      56: 1
      71: 1
      73: 1
      76: 1
      77: 1
      95: 1

 96:   1: 1
       5: 1
       6: 1
       9: 1
      10: 1
      14: 1
      21: 1
      22: 1
      26: 1
      27: 1
      42: 1
      43: 1
      45: 1
      54: 1
      55: 1
      61: 1
      62: 1
      96: 1

 97:   0: 1
       1: 1
       3: 1
       5: 1
       6: 1
      10: 1
      26: 1
      27: 1
      31: 1
      32: 1
      41: 1
      42: 1
      43: 1
      55: 1
      56: 1
      66: 1
      67: 1
      97: 1

 98:   5: 1
       9: 1
      10: 1
      14: 1
      16: 1
      17: 1
      21: 1
      22: 1
      24: 1
      39: 1
      40: 1
      43: 1
      45: 1
      52: 1
      54: 1
      79: 1
      80: 1
      98: 1

 99:   1: 1
       5: 1
       6: 1
      10: 1
      12: 1
      16: 1
      26: 1
      27: 1
      29: 1
      38: 1
      39: 1
      42: 1
      43: 1
      53: 1
      55: 1
      77: 1
      79: 1
      99: 1

100:   0: 1
       2: q+1
       3: 1
       4: q+1
       8: 1
      13: 1
      36: 1
      37: 1
      41: 1
      44: 1
      46: 1
      48: 1
      60: 1
      76: 1
      78: 1
      81: 1
      83: 1
     100: 1

101:   1: 1
       5: 1
       7: 1
       9: 1
      11: 1
      15: 1
      21: 1
      23: 1
      26: 1
      28: 1
      47: 1
      49: 1
      50: 1
      57: 1
      58: 1
      61: 1
      63: 1
     101: 1

102:   0: 1
       1: 1
       4: 1
       5: 1
       7: 1
      11: 1
      26: 1
      28: 1
      31: 1
      33: 1
      46: 1
      47: 1
      49: 1
      58: 1
      59: 1
      66: 1
      68: 1
     102: 1

103:   0: 1
       1: 1
       2: 1
       4: 1
       7: 1
       8: 1
      31: 1
      33: 1
      36: 1
      37: 1
      46: 1
      47: 1
      48: 1
      59: 1
      60: 1
      71: 1
      72: 1
     103: 1

104:   5: 1
       9: 1
      10: 1
      11: 1
      14: 1
      15: 1
      21: 1
      22: 1
      23: 1
      43: 1
      45: 1
      49: 1
      50: 1
      54: 1
      57: 1
      84: 1
      85: 1
     104: 1

105:   1: 1
       5: 1
       6: 1
       7: 1
      10: 1
      11: 1
      26: 1
      27: 1
      28: 1
      42: 1
      43: 1
      47: 1
      49: 1
      55: 1
      58: 1
      82: 1
      84: 1
     105: 1

106:   0: 1
       1: 1
       3: 1
       4: 1
       6: 1
       7: 1
      31: 1
      32: 1
      33: 1
      41: 1
      42: 1
      46: 1
      47: 1
      56: 1
      59: 1
      81: 1
      82: 1
     106: 1

107:   5: 1
       9: 1
      11: 1
      15: 1
      21: 1
      23: 1
      49: 1
      50: 1
      57: 1
      89: 1
      90: 1
     107: 1

108:   1: 1
       5: 1
       7: 1
      11: 1
      26: 1
      28: 1
      47: 1
      49: 1
      58: 1
      87: 1
      89: 1
     108: 1

109:   0: 1
       1: 1
       4: 1
       7: 1
      31: 1
      33: 1
      46: 1
      47: 1
      59: 1
      86: 1
      87: 1
     109: 1

110:   0: 1
       2: 1
       4: 1
       8: 1
      36: 1
      37: 1
      46: 1
      48: 1
      60: 1
      86: 1
      88: 1
     110: 1

111:   0: 1
       1: 1
       5: 1
       9: 1
      21: 1
      26: 1
      31: 1
      61: 1
      66: 1
     111: 1

112:   3: 1
       6: 1
      10: 1
      14: 1
      22: 1
      27: 1
      32: 1
      62: 1
      67: 1
     112: 1

113:   4: 1
       7: 1
      11: 1
      15: 1
      23: 1
      28: 1
      33: 1
      63: 1
      68: 1
     113: 1

114:  12: q+1
      16: 1
      17: 1
      18: 1
      19: 1
      24: 1
      25: 1
      29: 1
      34: 1
      35: 1
      51: 1
      64: 1
      69: 1
     114: 1

115:  16: 1
      17: 1
      18: 1
      19: 1
      20: q+1
      24: 1
      25: 1
      30: 1
      34: 1
      35: 1
      51: 1
      65: 1
      70: 1
     115: 1

116:   0: 1
       1: 1
       2: 1
       5: 1
      26: 1
      31: 1
      36: 1
      66: 1
      71: 1
     116: 1

117:   4: 1
       7: 1
       8: 1
      11: 1
      28: 1
      33: 1
      37: 1
      68: 1
      72: 1
     117: 1

118:   3: q+1
       6: 1
      10: 1
      12: 1
      16: 1
      27: 1
      29: 1
      32: 1
      38: 1
      39: 1
      53: 1
      67: 1
      73: 1
     118: 1

119:   6: 1
      10: 1
      12: 1
      16: 1
      18: q+1
      27: 1
      29: 1
      34: 1
      38: 1
      39: 1
      53: 1
      69: 1
      74: 1
     119: 1

120:  14: 1
      17: 1
      19: 1
      20: 1
      30: 1
      35: 1
      40: 1
      70: 1
      75: 1
     120: 1

121:   0: 1
       1: 1
       2: q+1
       3: 1
       6: 1
      31: 1
      32: 1
      36: 1
      41: 1
      42: 1
      56: 1
      71: 1
      76: 1
     121: 1

122:   0: 1
       1: 1
       3: 1
       6: 1
      12: q+1
      31: 1
      32: 1
      38: 1
      41: 1
      42: 1
      56: 1
      73: 1
      77: 1
     122: 1

123:   4: 1
       7: 1
       8: 1
      13: 1
      33: 1
      37: 1
      44: 1
      72: 1
      78: 1
     123: 1

124:   5: 1
      10: 1
      16: 1
      18: 1
      34: 1
      39: 1
      43: 1
      74: 1
      79: 1
     124: 1

125:   9: 1
      14: 1
      17: 1
      19: 1
      35: 1
      40: 1
      45: 1
      75: 1
      80: 1
     125: 1

126:   0: 1
       2: 1
       3: q+1
       4: 1
       8: 1
      36: 1
      37: 1
      41: 1
      46: 1
      48: 1
      60: 1
      76: 1
      81: 1
     126: 1

127:   1: 1
       6: 1
       7: 1
      12: 1
      38: 1
      42: 1
      47: 1
      77: 1
      82: 1
     127: 1

128:   0: 1
       2: 1
       4: 1
       8: 1
      13: q+1
      36: 1
      37: 1
      44: 1
      46: 1
      48: 1
      60: 1
      78: 1
      83: 1
     128: 1

129:   5: 1
      10: 1
      11: 1
      16: 1
      39: 1
      43: 1
      49: 1
      79: 1
      84: 1
     129: 1

130:   9: 1
      14: 1
      15: 1
      17: 1
      40: 1
      45: 1
      50: 1
      80: 1
      85: 1
     130: 1

131:   0: 1
       3: 1
       4: q+1
      41: 1
      46: 1
      81: 1
      86: 1
     131: 1

132:   1: 1
       6: 1
       7: q+1
      42: 1
      47: 1
      82: 1
      87: 1
     132: 1

133:   2: q+1
       8: 1
      13: 1
      44: 1
      48: 1
      83: 1
      88: 1
     133: 1

134:   5: 1
      10: 1
      11: q+1
      43: 1
      49: 1
      84: 1
      89: 1
     134: 1

135:   9: 1
      14: 1
      15: q+1
      45: 1
      50: 1
      85: 1
      90: 1
     135: 1

136:  12: 1
      16: 1
      17: 1
      18: 1
      19: 1
      20: 1
      24: 1
      25: 1
      29: 1
      30: 1
      34: 1
      35: 1
      51: 1
      64: 1
      65: 1
      69: 1
      70: 1
      91: 1
     114: 1
     115: 1
     136: 1

137:   3: 1
       6: 1
      10: q+1
      12: q+1
      14: q+1
      16: 1
      17: 1
      18: 1
      19: 1
      22: q+1
      24: 1
      25: 1
      27: 1
      29: 1
      32: 1
      34: 1
      35: 1
      38: 1
      39: 1
      40: 1
      51: 1
      52: 1
      53: 1
      62: 1
      64: 1
      67: 1
      69: 1
      73: 1
      74: 1
      75: 1
      92: 1
      93: 1
      94: 1
     112: 1
     114: 1
     137: 1

138:   6: 1
      10: 1
      12: 1
      14: q+1
      16: 1
      17: q+1
      18: q+1
      19: 1
      20: 1
      22: 1
      24: 1
      25: 1
      27: 1
      29: 1
      30: 1
      34: 1
      35: 1
      38: 1
      39: 1
      40: q+1
      51: 1
      52: 1
      53: 1
      62: 1
      64: 1
      65: 1
      69: 1
      70: 1
      74: 1
      75: 1
      91: 1
      93: 1
      94: 1
     119: 1
     120: 1
     138: 1

139:   3: 1
       6: 1
      10: 1
      12: 1
      16: 1
      18: 1
      27: 1
      29: 1
      32: 1
      34: 1
      38: 1
      39: 1
      53: 1
      67: 1
      69: 1
      73: 1
      74: 1
      92: 1
     118: 1
     119: 1
     139: 1

140:   0: 1
       1: q+1
       2: 1
       3: q+1
       5: q+1
       6: 1
      10: 1
      12: 1
      16: 1
      26: q+1
      27: 1
      29: 1
      31: 1
      32: 1
      36: 1
      38: 1
      39: 1
      41: 1
      42: 1
      43: 1
      53: 1
      55: 1
      56: 1
      66: 1
      67: 1
      71: 1
      73: 1
      76: 1
      77: 1
      79: 1
      95: 1
      97: 1
      99: 1
     116: 1
     118: 1
     140: 1

141:   0: 1
       1: 1
       3: 1
       5: 1
       6: 1
       9: 1
      10: 1
      14: 1
      21: 1
      22: 1
      26: 1
      27: 1
      31: 1
      32: 1
      41: 1
      42: 1
      43: 1
      45: 1
      54: 1
      55: 1
      56: 1
      61: 1
      62: 1
      66: 1
      67: 1
      96: 1
      97: 1
     111: 1
     112: 1
     141: 1

142:   0: 1
       1: 1
       3: 1
       5: q+1
       6: 1
      10: q+1
      12: q+1
      16: 1
      18: 1
      26: 1
      27: 1
      29: 1
      31: 1
      32: 1
      34: 1
      38: 1
      39: 1
      41: 1
      42: 1
      43: q+1
      53: 1
      55: 1
      56: 1
      66: 1
      67: 1
      69: 1
      73: 1
      74: 1
      77: 1
      79: 1
      92: 1
      97: 1
      99: 1
     122: 1
     124: 1
     142: 1

143:   5: 1
       9: 1
      10: 1
      14: 1
      16: 1
      17: 1
      18: 1
      19: 1
      21: 1
      22: 1
      24: 1
      25: 1
      34: 1
      35: 1
      39: 1
      40: 1
      43: 1
      45: 1
      51: 1
      52: 1
      54: 1
      74: 1
      75: 1
      79: 1
      80: 1
      94: 1
      98: 1
     124: 1
     125: 1
     143: 1

144:   1: 1
       5: 1
       6: 1
       9: 1
      10: 1
      12: 1
      14: 1
      16: 1
      17: 1
      21: 1
      22: 1
      24: 1
      26: 1
      27: 1
      29: 1
      38: 1
      39: 1
      40: 1
      42: 1
      43: 1
      45: 1
      52: 1
      53: 1
      54: 1
      55: 1
      61: 1
      62: 1
      64: 1
      77: 1
      79: 1
      80: 1
      93: 1
      96: 1
      98: 1
      99: 1
     144: 1

145:   0: 1
       1: 1
       2: 1
       3: 1
       6: 1
      12: 1
      31: 1
      32: 1
      36: 1
      38: 1
      41: 1
      42: 1
      56: 1
      71: 1
      73: 1
      76: 1
      77: 1
      95: 1
     121: 1
     122: 1
     145: 1

146:   0: 1
       1: 1
       2: q+1
       3: 1
       4: q+1
       6: 1
       7: q+1
       8: 1
      13: 1
      31: 1
      32: 1
      33: q+1
      36: 1
      37: 1
      41: 1
      42: 1
      44: 1
      46: 1
      47: 1
      48: 1
      56: 1
      59: 1
      60: 1
      71: 1
      72: 1
      76: 1
      78: 1
      81: 1
      82: 1
      83: 1
     100: 1
     103: 1
     106: 1
     121: 1
     123: 1
     146: 1

147:   0: 1
       1: 1
       4: 1
       5: 1
       7: 1
       9: 1
      11: 1
      15: 1
      21: 1
      23: 1
      26: 1
      28: 1
      31: 1
      33: 1
      46: 1
      47: 1
      49: 1
      50: 1
      57: 1
      58: 1
      59: 1
      61: 1
      63: 1
      66: 1
      68: 1
     101: 1
     102: 1
     111: 1
     113: 1
     147: 1

148:   0: 1
       1: 1
       2: 1
       4: 1
       5: 1
       7: 1
       8: 1
      11: 1
      26: 1
      28: 1
      31: 1
      33: 1
      36: 1
      37: 1
      46: 1
      47: 1
      48: 1
      49: 1
      58: 1
      59: 1
      60: 1
      66: 1
      68: 1
      71: 1
      72: 1
     102: 1
     103: 1
     116: 1
     117: 1
     148: 1

149:   0: 1
       1: q+1
       2: 1
       3: q+1
       4: 1
       6: 1
       7: q+1
       8: 1
      12: 1
      31: 1
      32: 1
      33: 1
      36: 1
      37: 1
      38: 1
      41: 1
      42: 1
      46: 1
      47: q+1
      48: 1
      56: 1
      59: 1
      60: 1
      71: 1
      72: 1
      73: 1
      76: 1
      77: 1
      81: 1
      82: 1
      95: 1
     103: 1
     106: 1
     126: 1
     127: 1
     149: 1

150:   5: 1
       9: 1
      10: 1
      11: 1
      14: 1
      15: 1
      16: 1
      17: 1
      21: 1
      22: 1
      23: 1
      24: 1
      39: 1
      40: 1
      43: 1
      45: 1
      49: 1
      50: 1
      52: 1
      54: 1
      57: 1
      79: 1
      80: 1
      84: 1
      85: 1
      98: 1
     104: 1
     129: 1
     130: 1
     150: 1

151:   1: 1
       5: 1
       6: 1
       7: 1
      10: 1
      11: 1
      12: 1
      16: 1
      26: 1
      27: 1
      28: 1
      29: 1
      38: 1
      39: 1
      42: 1
      43: 1
      47: 1
      49: 1
      53: 1
      55: 1
      58: 1
      77: 1
      79: 1
      82: 1
      84: 1
      99: 1
     105: 1
     127: 1
     129: 1
     151: 1

152:   1: 1
       5: 1
       6: 1
       7: 1
       9: 1
      10: 1
      11: 1
      14: 1
      15: 1
      21: 1
      22: 1
      23: 1
      26: 1
      27: 1
      28: 1
      42: 1
      43: 1
      45: 1
      47: 1
      49: 1
      50: 1
      54: 1
      55: 1
      57: 1
      58: 1
      61: 1
      62: 1
      63: 1
      82: 1
      84: 1
      85: 1
      96: 1
     101: 1
     104: 1
     105: 1
     152: 1

153:   0: 1
       1: 1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
      10: 1
      11: 1
      26: 1
      27: 1
      28: 1
      31: 1
      32: 1
      33: 1
      41: 1
      42: 1
      43: 1
      46: 1
      47: 1
      49: 1
      55: 1
      56: 1
      58: 1
      59: 1
      66: 1
      67: 1
      68: 1
      81: 1
      82: 1
      84: 1
      97: 1
     102: 1
     105: 1
     106: 1
     153: 1

154:   0: 1
       2: 1
       3: 1
       4: 1
       8: 1
      13: 1
      36: 1
      37: 1
      41: 1
      44: 1
      46: 1
      48: 1
      60: 1
      76: 1
      78: 1
      81: 1
      83: 1
     100: 1
     126: 1
     128: 1
     154: 1

155:   0: 1
       2: q+1
       3: 1
       4: q+1
       8: 1
      13: 1
      36: 1
      37: 1
      41: 1
      44: 1
      46: 1
      48: 1
      60: 1
      76: 1
      78: 1
      81: 1
      83: 1
      86: 1
      88: 1
     100: 1
     110: 1
     131: 1
     133: 1
     155: 1

156:   5: 1
       9: 1
      10: 1
      11: q+1
      14: 1
      15: q+1
      21: 1
      22: 1
      23: q+1
      43: 1
      45: 1
      49: 1
      50: 1
      54: 1
      57: 1
      84: 1
      85: 1
      89: 1
      90: 1
     104: 1
     107: 1
     134: 1
     135: 1
     156: 1

157:   1: 1
       5: 1
       6: 1
       7: q+1
      10: 1
      11: q+1
      26: 1
      27: 1
      28: q+1
      42: 1
      43: 1
      47: 1
      49: 1
      55: 1
      58: 1
      82: 1
      84: 1
      87: 1
      89: 1
     105: 1
     108: 1
     132: 1
     134: 1
     157: 1

158:   0: 1
       1: 1
       3: 1
       4: q+1
       6: 1
       7: q+1
      31: 1
      32: 1
      33: q+1
      41: 1
      42: 1
      46: 1
      47: 1
      56: 1
      59: 1
      81: 1
      82: 1
      86: 1
      87: 1
     106: 1
     109: 1
     131: 1
     132: 1
     158: 1

159:   1: 1
       5: 1
       7: 1
       9: 1
      11: 1
      15: 1
      21: 1
      23: 1
      26: 1
      28: 1
      47: 1
      49: 1
      50: 1
      57: 1
      58: 1
      61: 1
      63: 1
      87: 1
      89: 1
      90: 1
     101: 1
     107: 1
     108: 1
     159: 1

160:   0: 1
       1: 1
       4: 1
       5: 1
       7: 1
      11: 1
      26: 1
      28: 1
      31: 1
      33: 1
      46: 1
      47: 1
      49: 1
      58: 1
      59: 1
      66: 1
      68: 1
      86: 1
      87: 1
      89: 1
     102: 1
     108: 1
     109: 1
     160: 1

161:   0: 1
       1: 1
       2: 1
       4: 1
       7: 1
       8: 1
      31: 1
      33: 1
      36: 1
      37: 1
      46: 1
      47: 1
      48: 1
      59: 1
      60: 1
      71: 1
      72: 1
      86: 1
      87: 1
      88: 1
     103: 1
     109: 1
     110: 1
     161: 1

162:   0: 1
       1: 1
       2: 1
       5: 1
       9: 1
      21: 1
      26: 1
      31: 1
      36: 1
      61: 1
      66: 1
      71: 1
     111: 1
     116: 1
     162: 1

163:   4: 1
       7: 1
       8: 1
      11: 1
      15: 1
      23: 1
      28: 1
      33: 1
      37: 1
      63: 1
      68: 1
      72: 1
     113: 1
     117: 1
     163: 1

164:   3: q+1
       6: 1
      10: 1
      12: 1
      14: 1
      16: 1
      17: 1
      22: 1
      24: 1
      27: 1
      29: 1
      32: 1
      38: 1
      39: 1
      40: 1
      52: 1
      53: 1
      62: 1
      64: 1
      67: 1
      73: 1
      93: 1
     112: 1
     118: 1
     164: 1

165:   6: q+1
      10: 1
      12: q+1
      14: 1
      16: 1
      17: 1
      18: q+1
      19: q+1
      22: 1
      24: 1
      25: q+1
      27: 1
      29: 1
      34: 1
      35: 1
      38: q+1
      39: 1
      40: 1
      51: 1
      52: 1
      53: 1
      62: 1
      64: 1
      69: 1
      74: 1
      75: 1
      93: 1
      94: 1
     114: 1
     119: 1
     165: 1

166:  10: 1
      14: 1
      16: 1
      17: 1
      18: 1
      19: 1
      20: q+1
      22: 1
      24: 1
      25: 1
      30: 1
      34: 1
      35: 1
      39: 1
      40: 1
      51: 1
      52: 1
      65: 1
      70: 1
      74: 1
      75: 1
      94: 1
     115: 1
     120: 1
     166: 1

167:   0: 1
       1: 1
       2: q+1
       3: 1
       5: 1
       6: 1
      10: 1
      26: 1
      27: 1
      31: 1
      32: 1
      36: 1
      41: 1
      42: 1
      43: 1
      55: 1
      56: 1
      66: 1
      67: 1
      71: 1
      76: 1
      97: 1
     116: 1
     121: 1
     167: 1

168:   0: q+1
       1: 1
       3: q+1
       5: 1
       6: 1
      10: 1
      12: q+1
      16: q+1
      26: 1
      27: 1
      29: q+1
      31: 1
      32: 1
      38: 1
      39: 1
      41: q+1
      42: 1
      43: 1
      53: 1
      55: 1
      56: 1
      66: 1
      67: 1
      73: 1
      77: 1
      79: 1
      97: 1
      99: 1
     118: 1
     122: 1
     168: 1

169:   4: 1
       7: 1
       8: 1
      11: 1
      13: 1
      28: 1
      33: 1
      37: 1
      44: 1
      68: 1
      72: 1
      78: 1
     117: 1
     123: 1
     169: 1

170:   1: 1
       5: 1
       6: 1
      10: 1
      12: 1
      16: 1
      18: q+1
      26: 1
      27: 1
      29: 1
      34: 1
      38: 1
      39: 1
      42: 1
      43: 1
      53: 1
      55: 1
      69: 1
      74: 1
      77: 1
      79: 1
      99: 1
     119: 1
     124: 1
     170: 1

171:   9: 1
      14: 1
      17: 1
      19: 1
      20: 1
      30: 1
      35: 1
      40: 1
      45: 1
      70: 1
      75: 1
      80: 1
     120: 1
     125: 1
     171: 1

172:   0: 1
       1: 1
       2: q+1
       3: q+1
       4: 1
       6: q+1
       7: 1
       8: q+1
      31: 1
      32: q+1
      33: 1
      36: 1
      37: 1
      41: 1
      42: 1
      46: 1
      47: 1
      48: q+1
      56: 1
      59: 1
      60: 1
      71: 1
      72: 1
      76: 1
      81: 1
      82: 1
     103: 1
     106: 1
     121: 1
     126: 1
     172: 1

173:   0: 1
       1: 1
       3: 1
       4: 1
       6: 1
       7: 1
      12: q+1
      31: 1
      32: 1
      33: 1
      38: 1
      41: 1
      42: 1
      46: 1
      47: 1
      56: 1
      59: 1
      73: 1
      77: 1
      81: 1
      82: 1
     106: 1
     122: 1
     127: 1
     173: 1

174:   0: 1
       1: 1
       2: 1
       4: 1
       7: 1
       8: 1
      13: q+1
      31: 1
      33: 1
      36: 1
      37: 1
      44: 1
      46: 1
      47: 1
      48: 1
      59: 1
      60: 1
      71: 1
      72: 1
      78: 1
      83: 1
     103: 1
     123: 1
     128: 1
     174: 1

175:   5: 1
      10: 1
      11: 1
      16: 1
      18: 1
      34: 1
      39: 1
      43: 1
      49: 1
      74: 1
      79: 1
      84: 1
     124: 1
     129: 1
     175: 1

176:   9: 1
      14: 1
      15: 1
      17: 1
      19: 1
      35: 1
      40: 1
      45: 1
      50: 1
      75: 1
      80: 1
      85: 1
     125: 1
     130: 1
     176: 1

177:   0: 1
       3: 1
       4: 1
      41: 1
      46: 1
      81: 1
      86: 1
     131: 1
     177: 1

178:   1: 1
       6: 1
       7: 1
      42: 1
      47: 1
      82: 1
      87: 1
     132: 1
     178: 1

179:   2: 1
       8: 1
      13: 1
      44: 1
      48: 1
      83: 1
      88: 1
     133: 1
     179: 1

180:   5: 1
      10: 1
      11: 1
      43: 1
      49: 1
      84: 1
      89: 1
     134: 1
     180: 1

181:   9: 1
      14: 1
      15: 1
      45: 1
      50: 1
      85: 1
      90: 1
     135: 1
     181: 1

182:   0: 1
       2: 1
       3: q+1
       4: q+1
       8: q+1
      36: 1
      37: q+1
      41: 1
      46: 1
      48: 1
      60: 1
      76: 1
      81: 1
      86: 1
      88: 1
     110: 1
     126: 1
     131: 1
     182: 1

183:   1: 1
       6: 1
       7: q+1
      12: 1
      38: 1
      42: 1
      47: 1
      77: 1
      82: 1
      87: 1
     127: 1
     132: 1
     183: 1

184:   0: q+1
       2: q+1
       4: 1
       8: 1
      13: q+1
      36: q+1
      37: 1
      44: 1
      46: 1
      48: 1
      60: 1
      78: 1
      83: 1
      86: 1
      88: 1
     110: 1
     128: 1
     133: 1
     184: 1

185:   5: 1
      10: 1
      11: q+1
      16: 1
      39: 1
      43: 1
      49: 1
      79: 1
      84: 1
      89: 1
     129: 1
     134: 1
     185: 1

186:   9: 1
      14: 1
      15: q+1
      17: 1
      40: 1
      45: 1
      50: 1
      80: 1
      85: 1
      90: 1
     130: 1
     135: 1
     186: 1

187:   3: 1
       6: 1
      10: 1
      12: q+1
      14: q^2+1
      16: q+1
      17: 1
      18: q+1
      19: 1
      20: 1
      22: 1
      24: 1
      25: 1
      27: 1
      29: q+1
      30: 1
      32: 1
      34: q+1
      35: 1
      38: 1
      39: 1
      40: 1
      51: 1
      52: 1
      53: 1
      62: 1
      64: 1
      65: 1
      67: 1
      69: q+1
      70: 1
      73: 1
      74: 1
      75: 1
      91: 1
      92: 1
      93: 1
      94: 1
     112: 1
     114: 1
     115: 1
     118: 1
     119: 1
     120: 1
     136: 1
     137: 1
     138: 1
     139: 1
     187: 1

188:   6: 1
      10: 1
      12: 1
      14: 1
      16: 1
      17: 1
      18: q+1
      19: q+1
      20: q+1
      22: 1
      24: 1
      25: q+1
      27: 1
      29: 1
      30: q+1
      34: 1
      35: 1
      38: 1
      39: 1
      40: 1
      51: 1
      52: 1
      53: 1
      62: 1
      64: 1
      65: q+1
      69: 1
      70: 1
      74: 1
      75: 1
      91: 1
      93: 1
      94: 1
     114: 1
     115: 1
     119: 1
     120: 1
     136: 1
     138: 1
     165: 1
     166: 1
     188: 1

189:   3: q+1
       6: q+1
      10: 1
      12: q+1
      14: 1
      16: 1
      17: 1
      18: 1
      19: 1
      22: 1
      24: 1
      25: 1
      27: 1
      29: 1
      32: q+1
      34: 1
      35: 1
      38: q+1
      39: 1
      40: 1
      51: 1
      52: 1
      53: 1
      62: 1
      64: 1
      67: 1
      69: 1
      73: q+1
      74: 1
      75: 1
      92: 1
      93: 1
      94: 1
     112: 1
     114: 1
     118: 1
     119: 1
     137: 1
     139: 1
     164: 1
     165: 1
     189: 1

190:   0: 1
       1: q+1
       2: 1
       3: q+1
       5: q+1
       6: 1
       9: q+1
      10: 1
      12: 1
      14: 1
      16: 1
      17: 1
      21: q+1
      22: 1
      24: 1
      26: q+1
      27: 1
      29: 1
      31: 1
      32: 1
      36: 1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      45: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      61: q+1
      62: 1
      64: 1
      66: 1
      67: 1
      71: 1
      73: 1
      76: 1
      77: 1
      79: 1
      80: 1
      93: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     111: 1
     112: 1
     116: 1
     118: 1
     140: 1
     141: 1
     144: 1
     162: 1
     164: 1
     190: 1

191:   0: 1
       1: 1
       2: 1
       3: q+1
       5: q^2+1
       6: q+1
      10: 1
      12: q+1
      16: 1
      18: 1
      26: 1
      27: 1
      29: 1
      31: 1
      32: q+1
      34: 1
      36: 1
      38: q+1
      39: 1
      41: 1
      42: 1
      43: 1
      53: 1
      55: 1
      56: 1
      66: 1
      67: 1
      69: 1
      71: 1
      73: q+1
      74: 1
      76: 1
      77: 1
      79: 1
      92: 1
      95: 1
      97: 1
      99: 1
     116: 1
     118: 1
     119: 1
     121: 1
     122: 1
     124: 1
     139: 1
     140: 1
     142: 1
     145: 1
     191: 1

192:   0: 1
       1: 1
       3: 1
       5: q+1
       6: 1
       9: q+1
      10: q+1
      12: q+1
      14: q+1
      16: 1
      17: 1
      18: 1
      19: 1
      21: q+1
      22: q+1
      24: 1
      25: 1
      26: 1
      27: 1
      29: 1
      31: 1
      32: 1
      34: 1
      35: 1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: q+1
      45: q+1
      51: 1
      52: 1
      53: 1
      54: q+1
      55: 1
      56: 1
      61: 1
      62: 1
      64: 1
      66: 1
      67: 1
      69: 1
      73: 1
      74: 1
      75: 1
      77: 1
      79: 1
      80: 1
      92: 1
      93: 1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     111: 1
     112: 1
     114: 1
     122: 1
     124: 1
     125: 1
     137: 1
     141: 1
     142: 1
     143: 1
     144: 1
     192: 1

193:   1: 1
       5: 1
       6: 1
       9: q+1
      10: 1
      12: 1
      14: q+1
      16: 1
      17: q+1
      18: q+1
      19: 1
      20: 1
      21: 1
      22: 1
      24: 1
      25: 1
      26: 1
      27: 1
      29: 1
      30: 1
      34: 1
      35: 1
      38: 1
      39: 1
      40: q+1
      42: 1
      43: 1
      45: q+1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      61: 1
      62: 1
      64: 1
      65: 1
      69: 1
      70: 1
      74: 1
      75: 1
      77: 1
      79: 1
      80: q+1
      91: 1
      93: 1
      94: 1
      96: 1
      98: 1
      99: 1
     119: 1
     120: 1
     124: 1
     125: 1
     138: 1
     143: 1
     144: 1
     170: 1
     171: 1
     193: 1

194:   0: 1
       1: 1
       3: 1
       5: 1
       6: 1
      10: 1
      12: q+1
      16: q+1
      18: q+1
      26: 1
      27: 1
      29: q+1
      31: 1
      32: 1
      34: q+1
      38: 1
      39: 1
      41: 1
      42: 1
      43: 1
      53: 1
      55: 1
      56: 1
      66: 1
      67: 1
      69: q+1
      73: 1
      74: 1
      77: 1
      79: 1
      92: 1
      97: 1
      99: 1
     118: 1
     119: 1
     122: 1
     124: 1
     139: 1
     142: 1
     168: 1
     170: 1
     194: 1

195:   0: q+1
       1: 1
       2: q+1
       3: q+1
       5: 1
       6: 1
      10: 1
      12: 1
      16: 1
      26: 1
      27: 1
      29: 1
      31: 1
      32: 1
      36: q+1
      38: 1
      39: 1
      41: q+1
      42: 1
      43: 1
      53: 1
      55: 1
      56: 1
      66: 1
      67: 1
      71: 1
      73: 1
      76: q+1
      77: 1
      79: 1
      95: 1
      97: 1
      99: 1
     116: 1
     118: 1
     121: 1
     122: 1
     140: 1
     145: 1
     167: 1
     168: 1
     195: 1

196:   0: 1
       1: 1
       2: q+1
       3: 1
       4: q+1
       5: 1
       6: 1
       7: q+1
       8: 1
      10: 1
      11: q+1
      13: 1
      26: 1
      27: 1
      28: q+1
      31: 1
      32: 1
      33: q+1
      36: 1
      37: 1
      41: 1
      42: 1
      43: 1
      44: 1
      46: 1
      47: 1
      48: 1
      49: 1
      55: 1
      56: 1
      58: 1
      59: 1
      60: 1
      66: 1
      67: 1
      68: q+1
      71: 1
      72: 1
      76: 1
      78: 1
      81: 1
      82: 1
      83: 1
      84: 1
      97: 1
     100: 1
     102: 1
     103: 1
     105: 1
     106: 1
     116: 1
     117: 1
     121: 1
     123: 1
     146: 1
     148: 1
     153: 1
     167: 1
     169: 1
     196: 1

197:   0: q+1
       1: 1
       2: q+1
       3: q+1
       4: 1
       6: 1
       7: q^2+1
       8: 1
      12: 1
      13: 1
      31: 1
      32: 1
      33: 1
      36: q+1
      37: 1
      38: 1
      41: q+1
      42: 1
      44: 1
      46: 1
      47: 1
      48: 1
      56: 1
      59: 1
      60: 1
      71: 1
      72: 1
      73: 1
      76: q+1
      77: 1
      78: 1
      81: 1
      82: 1
      83: 1
      95: 1
     100: 1
     103: 1
     106: 1
     121: 1
     122: 1
     123: 1
     126: 1
     127: 1
     128: 1
     145: 1
     146: 1
     149: 1
     154: 1
     197: 1

198:   0: 1
       1: 1
       2: 1
       4: 1
       5: 1
       7: 1
       8: 1
       9: 1
      11: 1
      15: 1
      21: 1
      23: 1
      26: 1
      28: 1
      31: 1
      33: 1
      36: 1
      37: 1
      46: 1
      47: 1
      48: 1
      49: 1
      50: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      63: 1
      66: 1
      68: 1
      71: 1
      72: 1
     101: 1
     102: 1
     103: 1
     111: 1
     113: 1
     116: 1
     117: 1
     147: 1
     148: 1
     162: 1
     163: 1
     198: 1

199:   0: 1
       1: q+1
       2: 1
       3: q+1
       4: 1
       5: q+1
       6: 1
       7: q+1
       8: 1
      10: 1
      11: q+1
      12: 1
      16: 1
      26: q+1
      27: 1
      28: q+1
      29: 1
      31: 1
      32: 1
      33: 1
      36: 1
      37: 1
      38: 1
      39: 1
      41: 1
      42: 1
      43: 1
      46: 1
      47: q+1
      48: 1
      49: q+1
      53: 1
      55: 1
      56: 1
      58: q+1
      59: 1
      60: 1
      66: 1
      67: 1
      68: 1
      71: 1
      72: 1
      73: 1
      76: 1
      77: 1
      79: 1
      81: 1
      82: 1
      84: 1
      95: 1
      97: 1
      99: 1
     102: 1
     103: 1
     105: 1
     106: 1
     116: 1
     117: 1
     118: 1
     126: 1
     127: 1
     129: 1
     140: 1
     148: 1
     149: 1
     151: 1
     153: 1
     199: 1

200:   0: 1
       1: 1
       3: 1
       4: 1
       5: q+1
       6: 1
       7: 1
      10: q+1
      11: q+1
      12: q+1
      16: 1
      18: 1
      26: 1
      27: 1
      28: 1
      29: 1
      31: 1
      32: 1
      33: 1
      34: 1
      38: 1
      39: 1
      41: 1
      42: 1
      43: q+1
      46: 1
      47: 1
      49: q+1
      53: 1
      55: 1
      56: 1
      58: 1
      59: 1
      66: 1
      67: 1
      68: 1
      69: 1
      73: 1
      74: 1
      77: 1
      79: 1
      81: 1
      82: 1
      84: q+1
      92: 1
      97: 1
      99: 1
     102: 1
     105: 1
     106: 1
     122: 1
     124: 1
     127: 1
     129: 1
     142: 1
     151: 1
     153: 1
     173: 1
     175: 1
     200: 1

201:   5: 1
       9: 1
      10: 1
      11: 1
      14: 1
      15: 1
      16: 1
      17: 1
      18: 1
      19: 1
      21: 1
      22: 1
      23: 1
      24: 1
      25: 1
      34: 1
      35: 1
      39: 1
      40: 1
      43: 1
      45: 1
      49: 1
      50: 1
      51: 1
      52: 1
      54: 1
      57: 1
      74: 1
      75: 1
      79: 1
      80: 1
      84: 1
      85: 1
      94: 1
      98: 1
     104: 1
     124: 1
     125: 1
     129: 1
     130: 1
     143: 1
     150: 1
     175: 1
     176: 1
     201: 1

202:   0: 1
       1: 1
       2: 1
       3: q+1
       4: 1
       6: q+1
       7: 1
       8: 1
      12: q+1
      31: 1
      32: q+1
      33: 1
      36: 1
      37: 1
      38: q+1
      41: 1
      42: 1
      46: 1
      47: 1
      48: 1
      56: 1
      59: 1
      60: 1
      71: 1
      72: 1
      73: q+1
      76: 1
      77: 1
      81: 1
      82: 1
      95: 1
     103: 1
     106: 1
     121: 1
     122: 1
     126: 1
     127: 1
     145: 1
     149: 1
     172: 1
     173: 1
     202: 1

203:   1: 1
       5: 1
       6: 1
       7: 1
       9: 1
      10: 1
      11: 1
      12: 1
      14: 1
      15: 1
      16: 1
      17: 1
      21: 1
      22: 1
      23: 1
      24: 1
      26: 1
      27: 1
      28: 1
      29: 1
      38: 1
      39: 1
      40: 1
      42: 1
      43: 1
      45: 1
      47: 1
      49: 1
      50: 1
      52: 1
      53: 1
      54: 1
      55: 1
      57: 1
      58: 1
      61: 1
      62: 1
      63: 1
      64: 1
      77: 1
      79: 1
      80: 1
      82: 1
      84: 1
      85: 1
      93: 1
      96: 1
      98: 1
      99: 1
     101: 1
     104: 1
     105: 1
     127: 1
     129: 1
     130: 1
     144: 1
     150: 1
     151: 1
     152: 1
     203: 1

204:   0: 1
       1: 1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
       9: 1
      10: 1
      11: 1
      14: 1
      15: 1
      21: 1
      22: 1
      23: 1
      26: 1
      27: 1
      28: 1
      31: 1
      32: 1
      33: 1
      41: 1
      42: 1
      43: 1
      45: 1
      46: 1
      47: 1
      49: 1
      50: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      61: 1
      62: 1
      63: 1
      66: 1
      67: 1
      68: 1
      81: 1
      82: 1
      84: 1
      85: 1
      96: 1
      97: 1
     101: 1
     102: 1
     104: 1
     105: 1
     106: 1
     111: 1
     112: 1
     113: 1
     141: 1
     147: 1
     152: 1
     153: 1
     204: 1

205:   0: 1
       1: 1
       2: q+1
       3: 1
       4: 1
       6: 1
       7: 1
       8: q+1
      13: q+1
      31: 1
      32: 1
      33: 1
      36: 1
      37: 1
      41: 1
      42: 1
      44: q+1
      46: 1
      47: 1
      48: q+1
      56: 1
      59: 1
      60: 1
      71: 1
      72: 1
      76: 1
      78: 1
      81: 1
      82: 1
      83: q+1
     100: 1
     103: 1
     106: 1
     121: 1
     123: 1
     126: 1
     128: 1
     146: 1
     154: 1
     172: 1
     174: 1
     205: 1

206:   0: q+1
       2: q+1
       3: q+1
       4: q+1
       8: q+1
      13: q+1
      36: 1
      37: 1
      41: q+1
      44: q+1
      46: q+1
      48: q+1
      60: 1
      76: 1
      78: 1
      81: q+1
      83: q+1
      86: 1
      88: 1
     100: 1
     110: 1
     126: 1
     128: 1
     131: 1
     133: 1
     154: 1
     155: 1
     177: 1
     179: 1
     206: 1

207:   5: 1
       9: 1
      10: 1
      11: 1
      14: 1
      15: 1
      21: 1
      22: 1
      23: 1
      43: 1
      45: 1
      49: 1
      50: 1
      54: 1
      57: 1
      84: 1
      85: 1
      89: 1
      90: 1
     104: 1
     107: 1
     134: 1
     135: 1
     156: 1
     180: 1
     181: 1
     207: 1

208:   1: 1
       5: 1
       6: 1
       7: 1
      10: 1
      11: 1
      26: 1
      27: 1
      28: 1
      42: 1
      43: 1
      47: 1
      49: 1
      55: 1
      58: 1
      82: 1
      84: 1
      87: 1
      89: 1
     105: 1
     108: 1
     132: 1
     134: 1
     157: 1
     178: 1
     180: 1
     208: 1

209:   0: 1
       1: 1
       3: 1
       4: 1
       6: 1
       7: 1
      31: 1
      32: 1
      33: 1
      41: 1
      42: 1
      46: 1
      47: 1
      56: 1
      59: 1
      81: 1
      82: 1
      86: 1
      87: 1
     106: 1
     109: 1
     131: 1
     132: 1
     158: 1
     177: 1
     178: 1
     209: 1

210:   0: 1
       1: 1
       2: q+1
       3: 1
       4: q+1
       6: 1
       7: q+1
       8: 1
      13: 1
      31: 1
      32: 1
      33: q+1
      36: 1
      37: 1
      41: 1
      42: 1
      44: 1
      46: 1
      47: 1
      48: 1
      56: 1
      59: 1
      60: 1
      71: 1
      72: 1
      76: 1
      78: 1
      81: 1
      82: 1
      83: 1
      86: 1
      87: 1
      88: 1
     100: 1
     103: 1
     106: 1
     109: 1
     110: 1
     121: 1
     123: 1
     131: 1
     132: 1
     133: 1
     146: 1
     155: 1
     158: 1
     161: 1
     210: 1

211:   0: 1
       1: q+1
       2: 1
       3: q+1
       4: q+1
       6: 1
       7: q^2+2q+1
       8: q+1
      12: 1
      31: 1
      32: 1
      33: q+1
      36: 1
      37: q+1
      38: 1
      41: 1
      42: 1
      46: 1
      47: q+1
      48: 1
      56: 1
      59: 1
      60: 1
      71: 1
      72: q+1
      73: 1
      76: 1
      77: 1
      81: 1
      82: 1
      86: 1
      87: q+1
      88: 1
      95: 1
     103: 1
     106: 1
     109: 1
     110: 1
     126: 1
     127: 1
     131: 1
     132: 1
     149: 1
     158: 1
     161: 1
     182: 1
     183: 1
     211: 1

212:   5: 1
       9: 1
      10: 1
      11: q+1
      14: 1
      15: q+1
      16: 1
      17: 1
      21: 1
      22: 1
      23: q+1
      24: 1
      39: 1
      40: 1
      43: 1
      45: 1
      49: 1
      50: 1
      52: 1
      54: 1
      57: 1
      79: 1
      80: 1
      84: 1
      85: 1
      89: 1
      90: 1
      98: 1
     104: 1
     107: 1
     129: 1
     130: 1
     134: 1
     135: 1
     150: 1
     156: 1
     185: 1
     186: 1
     212: 1

213:   1: 1
       5: 1
       6: 1
       7: q+1
      10: 1
      11: q+1
      12: 1
      16: 1
      26: 1
      27: 1
      28: q+1
      29: 1
      38: 1
      39: 1
      42: 1
      43: 1
      47: 1
      49: 1
      53: 1
      55: 1
      58: 1
      77: 1
      79: 1
      82: 1
      84: 1
      87: 1
      89: 1
      99: 1
     105: 1
     108: 1
     127: 1
     129: 1
     132: 1
     134: 1
     151: 1
     157: 1
     183: 1
     185: 1
     213: 1

214:   0: q+1
       2: q+1
       3: q+1
       4: q+1
       8: q+1
      13: q+1
      36: q+1
      37: q+1
      41: q+1
      44: q+1
      46: 1
      48: 1
      60: 1
      76: q+1
      78: q+1
      81: 1
      83: 1
      86: 1
      88: 1
     100: 1
     110: 1
     126: 1
     128: 1
     131: 1
     133: 1
     154: 1
     155: 1
     182: 1
     184: 1
     214: 1

215:   1: 1
       5: 1
       6: 1
       7: q+1
       9: 1
      10: 1
      11: q+1
      14: 1
      15: q+1
      21: 1
      22: 1
      23: q+1
      26: 1
      27: 1
      28: q+1
      42: 1
      43: 1
      45: 1
      47: 1
      49: 1
      50: 1
      54: 1
      55: 1
      57: 1
      58: 1
      61: 1
      62: 1
      63: q+1
      82: 1
      84: 1
      85: 1
      87: 1
      89: 1
      90: 1
      96: 1
     101: 1
     104: 1
     105: 1
     107: 1
     108: 1
     132: 1
     134: 1
     135: 1
     152: 1
     156: 1
     157: 1
     159: 1
     215: 1

216:   0: 1
       1: 1
       3: 1
       4: q+1
       5: 1
       6: 1
       7: q+1
      10: 1
      11: q+1
      26: 1
      27: 1
      28: q+1
      31: 1
      32: 1
      33: q+1
      41: 1
      42: 1
      43: 1
      46: 1
      47: 1
      49: 1
      55: 1
      56: 1
      58: 1
      59: 1
      66: 1
      67: 1
      68: q+1
      81: 1
      82: 1
      84: 1
      86: 1
      87: 1
      89: 1
      97: 1
     102: 1
     105: 1
     106: 1
     108: 1
     109: 1
     131: 1
     132: 1
     134: 1
     153: 1
     157: 1
     158: 1
     160: 1
     216: 1

217:   0: 1
       1: 1
       4: 1
       5: 1
       7: 1
       9: 1
      11: 1
      15: 1
      21: 1
      23: 1
      26: 1
      28: 1
      31: 1
      33: 1
      46: 1
      47: 1
      49: 1
      50: 1
      57: 1
      58: 1
      59: 1
      61: 1
      63: 1
      66: 1
      68: 1
      86: 1
      87: 1
      89: 1
      90: 1
     101: 1
     102: 1
     107: 1
     108: 1
     109: 1
     111: 1
     113: 1
     147: 1
     159: 1
     160: 1
     217: 1

218:   0: 1
       1: 1
       2: 1
       4: 1
       5: 1
       7: 1
       8: 1
      11: 1
      26: 1
      28: 1
      31: 1
      33: 1
      36: 1
      37: 1
      46: 1
      47: 1
      48: 1
      49: 1
      58: 1
      59: 1
      60: 1
      66: 1
      68: 1
      71: 1
      72: 1
      86: 1
      87: 1
      88: 1
      89: 1
     102: 1
     103: 1
     108: 1
     109: 1
     110: 1
     116: 1
     117: 1
     148: 1
     160: 1
     161: 1
     218: 1

219:   0: 1
       1: 1
       2: q+1
       3: 1
       5: 1
       6: 1
       9: 1
      10: 1
      14: 1
      21: 1
      22: 1
      26: 1
      27: 1
      31: 1
      32: 1
      36: 1
      41: 1
      42: 1
      43: 1
      45: 1
      54: 1
      55: 1
      56: 1
      61: 1
      62: 1
      66: 1
      67: 1
      71: 1
      76: 1
      96: 1
      97: 1
     111: 1
     112: 1
     116: 1
     121: 1
     141: 1
     162: 1
     167: 1
     219: 1

220:   0: q+1
       1: 1
       3: q+1
       5: 1
       6: 1
       9: 1
      10: 1
      12: q+1
      14: 1
      16: q+1
      17: q+1
      21: 1
      22: 1
      24: q+1
      26: 1
      27: 1
      29: q+1
      31: 1
      32: 1
      38: 1
      39: 1
      40: 1
      41: q+1
      42: 1
      43: 1
      45: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      61: 1
      62: 1
      64: q+1
      66: 1
      67: 1
      73: 1
      77: 1
      79: 1
      80: 1
      93: 1
      96: 1
      97: 1
      98: 1
      99: 1
     111: 1
     112: 1
     118: 1
     122: 1
     141: 1
     144: 1
     164: 1
     168: 1
     220: 1

221:   4: 1
       7: 1
       8: 1
      11: 1
      13: 1
      15: 1
      23: 1
      28: 1
      33: 1
      37: 1
      44: 1
      63: 1
      68: 1
      72: 1
      78: 1
     113: 1
     117: 1
     123: 1
     163: 1
     169: 1
     221: 1

222:   1: q+1
       5: 1
       6: q+1
       9: 1
      10: 1
      12: q+1
      14: 1
      16: 1
      17: 1
      18: q+1
      19: q+1
      21: 1
      22: 1
      24: 1
      25: q+1
      26: 1
      27: 1
      29: 1
      34: 1
      35: 1
      38: q+1
      39: 1
      40: 1
      42: q+1
      43: 1
      45: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      61: 1
      62: 1
      64: 1
      69: 1
      74: 1
      75: 1
      77: q+1
      79: 1
      80: 1
      93: 1
      94: 1
      96: 1
      98: 1
      99: 1
     114: 1
     119: 1
     124: 1
     125: 1
     143: 1
     144: 1
     165: 1
     170: 1
     222: 1

223:   5: 1
       9: 1
      10: 1
      14: 1
      16: 1
      17: 1
      18: 1
      19: 1
      20: q+1
      21: 1
      22: 1
      24: 1
      25: 1
      30: 1
      34: 1
      35: 1
      39: 1
      40: 1
      43: 1
      45: 1
      51: 1
      52: 1
      54: 1
      65: 1
      70: 1
      74: 1
      75: 1
      79: 1
      80: 1
      94: 1
      98: 1
     115: 1
     120: 1
     124: 1
     125: 1
     143: 1
     166: 1
     171: 1
     223: 1

224:   0: 1
       1: 1
       2: q+1
       3: q+1
       4: 1
       5: 1
       6: q+1
       7: 1
       8: q+1
      10: q+1
      11: 1
      26: 1
      27: q+1
      28: 1
      31: 1
      32: q+1
      33: 1
      36: 1
      37: 1
      41: 1
      42: 1
      43: 1
      46: 1
      47: 1
      48: q+1
      49: 1
      55: 1
      56: 1
      58: 1
      59: 1
      60: 1
      66: 1
      67: q+1
      68: 1
      71: 1
      72: 1
      76: 1
      81: 1
      82: 1
      84: 1
      97: 1
     102: 1
     103: 1
     105: 1
     106: 1
     116: 1
     117: 1
     121: 1
     126: 1
     148: 1
     153: 1
     167: 1
     172: 1
     224: 1

225:   0: q+1
       1: 1
       3: q+1
       4: q+1
       5: 1
       6: 1
       7: 1
      10: 1
      11: 1
      12: q+1
      16: q+1
      26: 1
      27: 1
      28: 1
      29: q+1
      31: 1
      32: 1
      33: 1
      38: 1
      39: 1
      41: q+1
      42: 1
      43: 1
      46: q+1
      47: 1
      49: 1
      53: 1
      55: 1
      56: 1
      58: 1
      59: 1
      66: 1
      67: 1
      68: 1
      73: 1
      77: 1
      79: 1
      81: q+1
      82: 1
      84: 1
      97: 1
      99: 1
     102: 1
     105: 1
     106: 1
     118: 1
     122: 1
     127: 1
     129: 1
     151: 1
     153: 1
     168: 1
     173: 1
     225: 1

226:   0: 1
       1: 1
       2: 1
       4: 1
       5: 1
       7: 1
       8: 1
      11: 1
      13: q+1
      26: 1
      28: 1
      31: 1
      33: 1
      36: 1
      37: 1
      44: 1
      46: 1
      47: 1
      48: 1
      49: 1
      58: 1
      59: 1
      60: 1
      66: 1
      68: 1
      71: 1
      72: 1
      78: 1
      83: 1
     102: 1
     103: 1
     116: 1
     117: 1
     123: 1
     128: 1
     148: 1
     169: 1
     174: 1
     226: 1

227:   1: 1
       5: 1
       6: 1
       7: 1
      10: 1
      11: 1
      12: 1
      16: 1
      18: q+1
      26: 1
      27: 1
      28: 1
      29: 1
      34: 1
      38: 1
      39: 1
      42: 1
      43: 1
      47: 1
      49: 1
      53: 1
      55: 1
      58: 1
      69: 1
      74: 1
      77: 1
      79: 1
      82: 1
      84: 1
      99: 1
     105: 1
     119: 1
     124: 1
     127: 1
     129: 1
     151: 1
     170: 1
     175: 1
     227: 1

228:   9: 1
      14: 1
      15: 1
      17: 1
      19: 1
      20: 1
      30: 1
      35: 1
      40: 1
      45: 1
      50: 1
      70: 1
      75: 1
      80: 1
      85: 1
     120: 1
     125: 1
     130: 1
     171: 1
     176: 1
     228: 1

229:   0: 1
       2: 1
       3: q+1
       4: 1
       8: 1
      36: 1
      37: 1
      41: 1
      46: 1
      48: 1
      60: 1
      76: 1
      81: 1
      86: 1
      88: 1
     110: 1
     126: 1
     131: 1
     177: 1
     182: 1
     229: 1

230:   1: q+1
       6: 1
       7: q+1
      12: 1
      38: 1
      42: 1
      47: q+1
      77: 1
      82: 1
      87: q+1
     127: 1
     132: 1
     178: 1
     183: 1
     230: 1

231:   0: 1
       2: 1
       4: 1
       8: 1
      13: q+1
      36: 1
      37: 1
      44: 1
      46: 1
      48: 1
      60: 1
      78: 1
      83: 1
      86: 1
      88: 1
     110: 1
     128: 1
     133: 1
     179: 1
     184: 1
     231: 1

232:   5: q+1
      10: 1
      11: q+1
      16: 1
      39: 1
      43: 1
      49: q+1
      79: 1
      84: 1
      89: q+1
     129: 1
     134: 1
     180: 1
     185: 1
     232: 1

233:   9: q+1
      14: 1
      15: q+1
      17: 1
      40: 1
      45: 1
      50: q+1
      80: 1
      85: 1
      90: q+1
     130: 1
     135: 1
     181: 1
     186: 1
     233: 1

234:   0: 1
       1: 1
       2: q+1
       3: q+1
       4: q+1
       6: q+1
       7: q+1
       8: q^2+2q+1
      31: 1
      32: q+1
      33: q+1
      36: 1
      37: q+1
      41: 1
      42: 1
      46: 1
      47: 1
      48: q+1
      56: 1
      59: 1
      60: 1
      71: 1
      72: q+1
      76: 1
      81: 1
      82: 1
      86: 1
      87: 1
      88: q+1
     103: 1
     106: 1
     109: 1
     110: 1
     121: 1
     126: 1
     131: 1
     132: 1
     158: 1
     161: 1
     172: 1
     182: 1
     234: 1

235:   0: 1
       1: 1
       3: 1
       4: q+1
       6: 1
       7: q+1
      12: q+1
      31: 1
      32: 1
      33: q+1
      38: 1
      41: 1
      42: 1
      46: 1
      47: 1
      56: 1
      59: 1
      73: 1
      77: 1
      81: 1
      82: 1
      86: 1
      87: 1
     106: 1
     109: 1
     122: 1
     127: 1
     131: 1
     132: 1
     158: 1
     173: 1
     183: 1
     235: 1

236:   0: q+1
       1: q+1
       2: q+1
       4: 1
       7: 1
       8: 1
      13: q^2+q+1
      31: q+1
      33: 1
      36: q+1
      37: 1
      44: 1
      46: 1
      47: 1
      48: 1
      59: 1
      60: 1
      71: q+1
      72: 1
      78: 1
      83: 1
      86: 1
      87: 1
      88: 1
     103: 1
     109: 1
     110: 1
     123: 1
     128: 1
     133: 1
     161: 1
     174: 1
     184: 1
     236: 1

237:   5: 1
      10: 1
      11: q+1
      16: 1
      18: 1
      34: 1
      39: 1
      43: 1
      49: 1
      74: 1
      79: 1
      84: 1
      89: 1
     124: 1
     129: 1
     134: 1
     175: 1
     185: 1
     237: 1

238:   9: 1
      14: 1
      15: q+1
      17: 1
      19: 1
      35: 1
      40: 1
      45: 1
      50: 1
      75: 1
      80: 1
      85: 1
      90: 1
     125: 1
     130: 1
     135: 1
     176: 1
     186: 1
     238: 1

239:   3: 1
       6: 1
      10: 1
      12: 1
      14: 1
      16: 1
      17: 1
      18: 1
      19: 1
      20: 1
      22: 1
      24: 1
      25: 1
      27: 1
      29: 1
      30: 1
      32: 1
      34: 1
      35: 1
      38: 1
      39: 1
      40: 1
      51: 1
      52: 1
      53: 1
      62: 1
      64: 1
      65: 1
      67: 1
      69: 1
      70: 1
      73: 1
      74: 1
      75: 1
      91: 1
      92: 1
      93: 1
      94: 1
     112: 1
     114: 1
     115: 1
     118: 1
     119: 1
     120: 1
     136: 1
     137: 1
     138: 1
     139: 1
     164: 1
     165: 1
     166: 1
     187: 1
     188: 1
     189: 1
     239: 1

240:   0: 1
       1: 1
       2: 1
       3: q+1
       5: q^2+1
       6: q+1
       9: q^2+1
      10: 1
      12: q+1
      14: 1
      16: 1
      17: 1
      18: 1
      19: 1
      21: q^2+1
      22: 1
      24: 1
      25: 1
      26: 1
      27: 1
      29: 1
      31: 1
      32: q+1
      34: 1
      35: 1
      36: 1
      38: q+1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      45: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      61: 1
      62: 1
      64: 1
      66: 1
      67: 1
      69: 1
      71: 1
      73: q+1
      74: 1
      75: 1
      76: 1
      77: 1
      79: 1
      80: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     111: 1
     112: 1
     114: 1
     116: 1
     118: 1
     119: 1
     121: 1
     122: 1
     124: 1
     125: 1
     137: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: 1
     144: 1
     145: 1
     162: 1
     164: 1
     165: 1
     189: 1
     190: 1
     191: 1
     192: 1
     240: 1

241:   0: 1
       1: 1
       3: 1
       5: 1
       6: 1
       9: q^2+1
      10: 1
      12: q+1
      14: q^2+1
      16: q+1
      17: 1
      18: q+1
      19: 1
      20: 1
      21: 1
      22: 1
      24: 1
      25: 1
      26: 1
      27: 1
      29: q+1
      30: 1
      31: 1
      32: 1
      34: q+1
      35: 1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      45: q^2+1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      61: 1
      62: 1
      64: 1
      65: 1
      66: 1
      67: 1
      69: q+1
      70: 1
      73: 1
      74: 1
      75: 1
      77: 1
      79: 1
      80: 1
      91: 1
      92: 1
      93: 1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     111: 1
     112: 1
     114: 1
     115: 1
     118: 1
     119: 1
     120: 1
     122: 1
     124: 1
     125: 1
     136: 1
     137: 1
     138: 1
     139: 1
     141: 1
     142: 1
     143: 1
     144: 1
     168: 1
     170: 1
     171: 1
     187: 1
     192: 1
     193: 1
     194: 1
     241: 1

242:   1: 1
       5: 1
       6: 1
       9: 1
      10: 1
      12: 1
      14: 1
      16: 1
      17: 1
      18: q+1
      19: q+1
      20: q+1
      21: 1
      22: 1
      24: 1
      25: q+1
      26: 1
      27: 1
      29: 1
      30: q+1
      34: 1
      35: 1
      38: 1
      39: 1
      40: 1
      42: 1
      43: 1
      45: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      61: 1
      62: 1
      64: 1
      65: q+1
      69: 1
      70: 1
      74: 1
      75: 1
      77: 1
      79: 1
      80: 1
      91: 1
      93: 1
      94: 1
      96: 1
      98: 1
      99: 1
     114: 1
     115: 1
     119: 1
     120: 1
     124: 1
     125: 1
     136: 1
     138: 1
     143: 1
     144: 1
     165: 1
     166: 1
     170: 1
     171: 1
     188: 1
     193: 1
     222: 1
     223: 1
     242: 1

243:   0: q+1
       1: q+1
       3: q+1
       5: 1
       6: q+1
       9: 1
      10: 1
      12: q^2+2q+1
      14: 1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      21: 1
      22: 1
      24: q+1
      25: q+1
      26: 1
      27: 1
      29: q+1
      31: q+1
      32: q+1
      34: q+1
      35: q+1
      38: q+1
      39: 1
      40: 1
      41: q+1
      42: q+1
      43: 1
      45: 1
      51: q+1
      52: 1
      53: 1
      54: 1
      55: 1
      56: q+1
      61: 1
      62: 1
      64: q+1
      66: 1
      67: 1
      69: q+1
      73: q+1
      74: 1
      75: 1
      77: q+1
      79: 1
      80: 1
      92: 1
      93: 1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     111: 1
     112: 1
     114: q+1
     118: 1
     119: 1
     122: q+1
     124: 1
     125: 1
     137: 1
     139: 1
     141: 1
     142: 1
     143: 1
     144: 1
     164: 1
     165: 1
     168: 1
     170: 1
     189: 1
     192: 1
     194: 1
     220: 1
     222: 1
     243: 1

244:   0: q+1
       1: 1
       2: q+1
       3: q+1
       5: 1
       6: 1
       9: 1
      10: 1
      12: 1
      14: 1
      16: 1
      17: 1
      21: 1
      22: 1
      24: 1
      26: 1
      27: 1
      29: 1
      31: 1
      32: 1
      36: q+1
      38: 1
      39: 1
      40: 1
      41: q+1
      42: 1
      43: 1
      45: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      61: 1
      62: 1
      64: 1
      66: 1
      67: 1
      71: 1
      73: 1
      76: q+1
      77: 1
      79: 1
      80: 1
      93: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     111: 1
     112: 1
     116: 1
     118: 1
     121: 1
     122: 1
     140: 1
     141: 1
     144: 1
     145: 1
     162: 1
     164: 1
     167: 1
     168: 1
     190: 1
     195: 1
     219: 1
     220: 1
     244: 1

245:   0: 1
       1: 1
       2: 1
       3: 1
       5: 1
       6: 1
      10: 1
      12: 1
      16: 1
      18: 1
      26: 1
      27: 1
      29: 1
      31: 1
      32: 1
      34: 1
      36: 1
      38: 1
      39: 1
      41: 1
      42: 1
      43: 1
      53: 1
      55: 1
      56: 1
      66: 1
      67: 1
      69: 1
      71: 1
      73: 1
      74: 1
      76: 1
      77: 1
      79: 1
      92: 1
      95: 1
      97: 1
      99: 1
     116: 1
     118: 1
     119: 1
     121: 1
     122: 1
     124: 1
     139: 1
     140: 1
     142: 1
     145: 1
     167: 1
     168: 1
     170: 1
     191: 1
     194: 1
     195: 1
     245: 1

246:   0: 1
       1: 1
       2: q+1
       3: 1
       4: q+1
       5: 1
       6: 1
       7: q+1
       8: 1
       9: 1
      10: 1
      11: q+1
      13: 1
      14: 1
      15: q+1
      21: 1
      22: 1
      23: q+1
      26: 1
      27: 1
      28: q+1
      31: 1
      32: 1
      33: q+1
      36: 1
      37: 1
      41: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      48: 1
      49: 1
      50: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: 1
      63: q+1
      66: 1
      67: 1
      68: q+1
      71: 1
      72: 1
      76: 1
      78: 1
      81: 1
      82: 1
      83: 1
      84: 1
      85: 1
      96: 1
      97: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     111: 1
     112: 1
     113: q+1
     116: 1
     117: 1
     121: 1
     123: 1
     141: 1
     146: 1
     147: 1
     148: 1
     152: 1
     153: 1
     162: 1
     163: 1
     167: 1
     169: 1
     196: 1
     198: 1
     204: 1
     219: 1
     221: 1
     246: 1

247:   0: q+1
       1: 1
       2: q+1
       3: q+1
       4: 1
       5: 1
       6: 1
       7: q^2+1
       8: 1
      10: 1
      11: q^2+1
      12: 1
      13: 1
      16: 1
      26: 1
      27: 1
      28: q^2+1
      29: 1
      31: 1
      32: 1
      33: 1
      36: q+1
      37: 1
      38: 1
      39: 1
      41: q+1
      42: 1
      43: 1
      44: 1
      46: 1
      47: 1
      48: 1
      49: 1
      53: 1
      55: 1
      56: 1
      58: 1
      59: 1
      60: 1
      66: 1
      67: 1
      68: 1
      71: 1
      72: 1
      73: 1
      76: q+1
      77: 1
      78: 1
      79: 1
      81: 1
      82: 1
      83: 1
      84: 1
      95: 1
      97: 1
      99: 1
     100: 1
     102: 1
     103: 1
     105: 1
     106: 1
     116: 1
     117: 1
     118: 1
     121: 1
     122: 1
     123: 1
     126: 1
     127: 1
     128: 1
     129: 1
     140: 1
     145: 1
     146: 1
     148: 1
     149: 1
     151: 1
     153: 1
     154: 1
     167: 1
     168: 1
     169: 1
     195: 1
     196: 1
     197: 1
     199: 1
     247: 1

248:   0: 1
       1: 1
       2: 1
       3: q+1
       4: 1
       5: q^2+1
       6: q+1
       7: 1
       8: 1
      10: 1
      11: q^2+1
      12: q+1
      16: 1
      18: 1
      26: 1
      27: 1
      28: 1
      29: 1
      31: 1
      32: q+1
      33: 1
      34: 1
      36: 1
      37: 1
      38: q+1
      39: 1
      41: 1
      42: 1
      43: 1
      46: 1
      47: 1
      48: 1
      49: q^2+1
      53: 1
      55: 1
      56: 1
      58: 1
      59: 1
      60: 1
      66: 1
      67: 1
      68: 1
      69: 1
      71: 1
      72: 1
      73: q+1
      74: 1
      76: 1
      77: 1
      79: 1
      81: 1
      82: 1
      84: 1
      92: 1
      95: 1
      97: 1
      99: 1
     102: 1
     103: 1
     105: 1
     106: 1
     116: 1
     117: 1
     118: 1
     119: 1
     121: 1
     122: 1
     124: 1
     126: 1
     127: 1
     129: 1
     139: 1
     140: 1
     142: 1
     145: 1
     148: 1
     149: 1
     151: 1
     153: 1
     172: 1
     173: 1
     175: 1
     191: 1
     199: 1
     200: 1
     202: 1
     248: 1

249:   0: 1
       1: q+1
       2: 1
       3: q+1
       4: 1
       5: q+1
       6: 1
       7: q+1
       8: 1
       9: q+1
      10: 1
      11: q+1
      12: 1
      14: 1
      15: q+1
      16: 1
      17: 1
      21: q+1
      22: 1
      23: q+1
      24: 1
      26: q+1
      27: 1
      28: q+1
      29: 1
      31: 1
      32: 1
      33: 1
      36: 1
      37: 1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      45: 1
      46: 1
      47: q+1
      48: 1
      49: q+1
      50: q+1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: q+1
      58: q+1
      59: 1
      60: 1
      61: q+1
      62: 1
      63: q+1
      64: 1
      66: 1
      67: 1
      68: 1
      71: 1
      72: 1
      73: 1
      76: 1
      77: 1
      79: 1
      80: 1
      81: 1
      82: 1
      84: 1
      85: 1
      93: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     101: q+1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     111: 1
     112: 1
     113: 1
     116: 1
     117: 1
     118: 1
     126: 1
     127: 1
     129: 1
     130: 1
     140: 1
     141: 1
     144: 1
     147: 1
     148: 1
     149: 1
     150: 1
     151: 1
     152: 1
     153: 1
     162: 1
     163: 1
     164: 1
     190: 1
     198: 1
     199: 1
     203: 1
     204: 1
     249: 1

250:   0: 1
       1: 1
       3: 1
       4: 1
       5: q+1
       6: 1
       7: 1
       9: q+1
      10: q+1
      11: q+1
      12: q+1
      14: q+1
      15: q+1
      16: 1
      17: 1
      18: 1
      19: 1
      21: q+1
      22: q+1
      23: q+1
      24: 1
      25: 1
      26: 1
      27: 1
      28: 1
      29: 1
      31: 1
      32: 1
      33: 1
      34: 1
      35: 1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: q+1
      45: q+1
      46: 1
      47: 1
      49: q+1
      50: q+1
      51: 1
      52: 1
      53: 1
      54: q+1
      55: 1
      56: 1
      57: q+1
      58: 1
      59: 1
      61: 1
      62: 1
      63: 1
      64: 1
      66: 1
      67: 1
      68: 1
      69: 1
      73: 1
      74: 1
      75: 1
      77: 1
      79: 1
      80: 1
      81: 1
      82: 1
      84: q+1
      85: q+1
      92: 1
      93: 1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     101: 1
     102: 1
     104: q+1
     105: 1
     106: 1
     111: 1
     112: 1
     113: 1
     114: 1
     122: 1
     124: 1
     125: 1
     127: 1
     129: 1
     130: 1
     137: 1
     141: 1
     142: 1
     143: 1
     144: 1
     147: 1
     150: 1
     151: 1
     152: 1
     153: 1
     173: 1
     175: 1
     176: 1
     192: 1
     200: 1
     201: 1
     203: 1
     204: 1
     250: 1

251:   1: 1
       5: 1
       6: 1
       7: 1
       9: q+1
      10: 1
      11: 1
      12: 1
      14: q+1
      15: q+1
      16: 1
      17: q+1
      18: q+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
      34: 1
      35: 1
      38: 1
      39: 1
      40: q+1
      42: 1
      43: 1
      45: q+1
      47: 1
      49: 1
      50: q+1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      57: 1
      58: 1
      61: 1
      62: 1
      63: 1
      64: 1
      65: 1
      69: 1
      70: 1
      74: 1
      75: 1
      77: 1
      79: 1
      80: q+1
      82: 1
      84: 1
      85: q+1
      91: 1
      93: 1
      94: 1
      96: 1
      98: 1
      99: 1
     101: 1
     104: 1
     105: 1
     119: 1
     120: 1
     124: 1
     125: 1
     127: 1
     129: 1
     130: q+1
     138: 1
     143: 1
     144: 1
     150: 1
     151: 1
     152: 1
     170: 1
     171: 1
     175: 1
     176: 1
     193: 1
     201: 1
     203: 1
     227: 1
     228: 1
     251: 1

252:   0: 1
       1: 1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
      10: 1
      11: 1
      12: q+1
      16: q+1
      18: q+1
      26: 1
      27: 1
      28: 1
      29: q+1
      31: 1
      32: 1
      33: 1
      34: q+1
      38: 1
      39: 1
      41: 1
      42: 1
      43: 1
      46: 1
      47: 1
      49: 1
      53: 1
      55: 1
      56: 1
      58: 1
      59: 1
      66: 1
      67: 1
      68: 1
      69: q+1
      73: 1
      74: 1
      77: 1
      79: 1
      81: 1
      82: 1
      84: 1
      92: 1
      97: 1
      99: 1
     102: 1
     105: 1
     106: 1
     118: 1
     119: 1
     122: 1
     124: 1
     127: 1
     129: 1
     139: 1
     142: 1
     151: 1
     153: 1
     168: 1
     170: 1
     173: 1
     175: 1
     194: 1
     200: 1
     225: 1
     227: 1
     252: 1

253:   0: q+1
       1: 1
       2: q+1
       3: q^2+2q+1
       4: q+1
       5: 1
       6: q+1
       7: 1
       8: q+1
      10: q+1
      11: 1
      12: q+1
      16: q+1
      26: 1
      27: q+1
      28: 1
      29: q+1
      31: 1
      32: q+1
      33: 1
      36: q+1
      37: q+1
      38: q+1
      39: q+1
      41: q+1
      42: 1
      43: 1
      46: q+1
      47: 1
      48: q+1
      49: 1
      53: q+1
      55: 1
      56: 1
      58: 1
      59: 1
      60: q+1
      66: 1
      67: q+1
      68: 1
      71: 1
      72: 1
      73: q+1
      76: q+1
      77: 1
      79: 1
      81: q+1
      82: 1
      84: 1
      95: 1
      97: 1
      99: 1
     102: 1
     103: 1
     105: 1
     106: 1
     116: 1
     117: 1
     118: q+1
     121: 1
     122: 1
     126: q+1
     127: 1
     129: 1
     140: 1
     145: 1
     148: 1
     149: 1
     151: 1
     153: 1
     167: 1
     168: 1
     172: 1
     173: 1
     195: 1
     199: 1
     202: 1
     224: 1
     225: 1
     253: 1

254:   0: 1
       1: 1
       2: q+1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
       8: q+1
      10: 1
      11: 1
      13: q+1
      26: 1
      27: 1
      28: 1
      31: 1
      32: 1
      33: 1
      36: 1
      37: 1
      41: 1
      42: 1
      43: 1
      44: q+1
      46: 1
      47: 1
      48: q+1
      49: 1
      55: 1
      56: 1
      58: 1
      59: 1
      60: 1
      66: 1
      67: 1
      68: 1
      71: 1
      72: 1
      76: 1
      78: 1
      81: 1
      82: 1
      83: q+1
      84: 1
      97: 1
     100: 1
     102: 1
     103: 1
     105: 1
     106: 1
     116: 1
     117: 1
     121: 1
     123: 1
     126: 1
     128: 1
     146: 1
     148: 1
     153: 1
     154: 1
     167: 1
     169: 1
     172: 1
     174: 1
     196: 1
     205: 1
     224: 1
     226: 1
     254: 1

255:   0: 1
       1: 1
       2: 1
       3: 1
       4: 1
       6: 1
       7: 1
       8: 1
      12: 1
      13: 1
      31: 1
      32: 1
      33: 1
      36: 1
      37: 1
      38: 1
      41: 1
      42: 1
      44: 1
      46: 1
      47: 1
      48: 1
      56: 1
      59: 1
      60: 1
      71: 1
      72: 1
      73: 1
      76: 1
      77: 1
      78: 1
      81: 1
      82: 1
      83: 1
      95: 1
     100: 1
     103: 1
     106: 1
     121: 1
     122: 1
     123: 1
     126: 1
     127: 1
     128: 1
     145: 1
     146: 1
     149: 1
     154: 1
     172: 1
     173: 1
     174: 1
     197: 1
     202: 1
     205: 1
     255: 1

256:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       6: q+1
       7: q+1
       8: q+1
      13: q+1
      31: q+1
      32: q+1
      33: q+1
      36: 1
      37: 1
      41: q+1
      42: q+1
      44: q+1
      46: q+1
      47: q+1
      48: q+1
      56: q+1
      59: q+1
      60: 1
      71: 1
      72: 1
      76: 1
      78: 1
      81: q+1
      82: q+1
      83: q+1
      86: 1
      87: 1
      88: 1
     100: 1
     103: 1
     106: q+1
     109: 1
     110: 1
     121: 1
     123: 1
     126: 1
     128: 1
     131: 1
     132: 1
     133: 1
     146: 1
     154: 1
     155: 1
     158: 1
     161: 1
     172: 1
     174: 1
     177: 1
     178: 1
     179: 1
     205: 1
     206: 1
     209: 1
     210: 1
     256: 1

257:   0: 1
       1: q+1
       2: 1
       3: q+1
       4: 1
       6: 1
       7: q+1
       8: 1
      12: 1
      31: 1
      32: 1
      33: 1
      36: 1
      37: 1
      38: 1
      41: 1
      42: 1
      46: 1
      47: q+1
      48: 1
      56: 1
      59: 1
      60: 1
      71: 1
      72: 1
      73: 1
      76: 1
      77: 1
      81: 1
      82: 1
      86: 1
      87: q+1
      88: 1
      95: 1
     103: 1
     106: 1
     109: 1
     110: 1
     126: 1
     127: 1
     131: 1
     132: 1
     149: 1
     158: 1
     161: 1
     177: 1
     178: 1
     182: 1
     183: 1
     209: 1
     211: 1
     229: 1
     230: 1
     257: 1

258:   5: q+1
       9: q+1
      10: 1
      11: q+1
      14: 1
      15: q+1
      16: 1
      17: 1
      21: q+1
      22: 1
      23: q+1
      24: 1
      39: 1
      40: 1
      43: 1
      45: 1
      49: q+1
      50: q+1
      52: 1
      54: 1
      57: q+1
      79: 1
      80: 1
      84: 1
      85: 1
      89: q+1
      90: q+1
      98: 1
     104: 1
     107: q+1
     129: 1
     130: 1
     134: 1
     135: 1
     150: 1
     156: 1
     180: 1
     181: 1
     185: 1
     186: 1
     207: 1
     212: 1
     232: 1
     233: 1
     258: 1

259:   1: q+1
       5: q+1
       6: 1
       7: q+1
      10: 1
      11: q+1
      12: 1
      16: 1
      26: q+1
      27: 1
      28: q+1
      29: 1
      38: 1
      39: 1
      42: 1
      43: 1
      47: q+1
      49: q+1
      53: 1
      55: 1
      58: q+1
      77: 1
      79: 1
      82: 1
      84: 1
      87: q+1
      89: q+1
      99: 1
     105: 1
     108: q+1
     127: 1
     129: 1
     132: 1
     134: 1
     151: 1
     157: 1
     178: 1
     180: 1
     183: 1
     185: 1
     208: 1
     213: 1
     230: 1
     232: 1
     259: 1

260:   0: 2q+1
       2: 2q+1
       3: q^2+q+1
       4: 2q+1
       8: 2q+1
      13: q^2+q+1
      36: 2q+1
      37: 2q+1
      41: q+1
      44: q+1
      46: 2q+1
      48: 2q+1
      60: 2q+1
      76: q+1
      78: q+1
      81: q+1
      83: q+1
      86: q+1
      88: q+1
     100: 1
     110: q+1
     126: q+1
     128: q+1
     131: 1
     133: 1
     154: 1
     155: 1
     177: 1
     179: 1
     182: 1
     184: 1
     206: 1
     214: 1
     229: 1
     231: 1
     260: 1

261:   1: 1
       5: 1
       6: 1
       7: 1
       9: 1
      10: 1
      11: 1
      14: 1
      15: 1
      21: 1
      22: 1
      23: 1
      26: 1
      27: 1
      28: 1
      42: 1
      43: 1
      45: 1
      47: 1
      49: 1
      50: 1
      54: 1
      55: 1
      57: 1
      58: 1
      61: 1
      62: 1
      63: 1
      82: 1
      84: 1
      85: 1
      87: 1
      89: 1
      90: 1
      96: 1
     101: 1
     104: 1
     105: 1
     107: 1
     108: 1
     132: 1
     134: 1
     135: 1
     152: 1
     156: 1
     157: 1
     159: 1
     178: 1
     180: 1
     181: 1
     207: 1
     208: 1
     215: 1
     261: 1

262:   0: 1
       1: 1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
      10: 1
      11: 1
      26: 1
      27: 1
      28: 1
      31: 1
      32: 1
      33: 1
      41: 1
      42: 1
      43: 1
      46: 1
      47: 1
      49: 1
      55: 1
      56: 1
      58: 1
      59: 1
      66: 1
      67: 1
      68: 1
      81: 1
      82: 1
      84: 1
      86: 1
      87: 1
      89: 1
      97: 1
     102: 1
     105: 1
     106: 1
     108: 1
     109: 1
     131: 1
     132: 1
     134: 1
     153: 1
     157: 1
     158: 1
     160: 1
     177: 1
     178: 1
     180: 1
     208: 1
     209: 1
     216: 1
     262: 1

263:   0: q+1
       1: 1
       2: q+1
       3: q+1
       4: q+1
       6: 1
       7: q^2+q+1
       8: q+1
      12: 1
      13: q+1
      31: 1
      32: 1
      33: q+1
      36: q+1
      37: q+1
      38: 1
      41: q+1
      42: 1
      44: q+1
      46: 1
      47: 1
      48: 1
      56: 1
      59: 1
      60: 1
      71: 1
      72: q+1
      73: 1
      76: q+1
      77: 1
      78: q+1
      81: 1
      82: 1
      83: 1
      86: 1
      87: 1
      88: 1
      95: 1
     100: 1
     103: 1
     106: 1
     109: 1
     110: 1
     121: 1
     122: 1
     123: q+1
     126: 1
     127: 1
     128: 1
     131: 1
     132: 1
     133: 1
     145: 1
     146: 1
     149: 1
     154: 1
     155: 1
     158: 1
     161: 1
     182: 1
     183: 1
     184: 1
     197: 1
     210: 1
     211: 1
     214: 1
     263: 1

264:   0: 1
       1: 1
       2: q+1
       3: 1
       4: q+1
       5: 1
       6: 1
       7: q+1
       8: 1
      10: 1
      11: q+1
      13: 1
      26: 1
      27: 1
      28: q+1
      31: 1
      32: 1
      33: q+1
      36: 1
      37: 1
      41: 1
      42: 1
      43: 1
      44: 1
      46: 1
      47: 1
      48: 1
      49: 1
      55: 1
      56: 1
      58: 1
      59: 1
      60: 1
      66: 1
      67: 1
      68: q+1
      71: 1
      72: 1
      76: 1
      78: 1
      81: 1
      82: 1
      83: 1
      84: 1
      86: 1
      87: 1
      88: 1
      89: 1
      97: 1
     100: 1
     102: 1
     103: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: 1
     116: 1
     117: 1
     121: 1
     123: 1
     131: 1
     132: 1
     133: 1
     134: 1
     146: 1
     148: 1
     153: 1
     155: 1
     157: 1
     158: 1
     160: 1
     161: 1
     167: 1
     169: 1
     196: 1
     210: 1
     216: 1
     218: 1
     264: 1

265:   0: 1
       1: q+1
       2: 1
       3: q+1
       4: q+1
       5: q+1
       6: 1
       7: q^2+2q+1
       8: q+1
      10: 1
      11: q^2+2q+1
      12: 1
      16: 1
      26: q+1
      27: 1
      28: q^2+2q+1
      29: 1
      31: 1
      32: 1
      33: q+1
      36: 1
      37: q+1
      38: 1
      39: 1
      41: 1
      42: 1
      43: 1
      46: 1
      47: q+1
      48: 1
      49: q+1
      53: 1
      55: 1
      56: 1
      58: q+1
      59: 1
      60: 1
      66: 1
      67: 1
      68: q+1
      71: 1
      72: q+1
      73: 1
      76: 1
      77: 1
      79: 1
      81: 1
      82: 1
      84: 1
      86: 1
      87: q+1
      88: 1
      89: q+1
      95: 1
      97: 1
      99: 1
     102: 1
     103: 1
     105: 1
     106: 1
     108: q+1
     109: 1
     110: 1
     116: 1
     117: q+1
     118: 1
     126: 1
     127: 1
     129: 1
     131: 1
     132: 1
     134: 1
     140: 1
     148: 1
     149: 1
     151: 1
     153: 1
     157: 1
     158: 1
     160: 1
     161: 1
     182: 1
     183: 1
     185: 1
     199: 1
     211: 1
     213: 1
     216: 1
     218: 1
     265: 1

266:   0: 1
       1: 1
       3: 1
       4: q+1
       5: q+1
       6: 1
       7: q+1
      10: q+1
      11: q^2+2q+1
      12: q+1
      16: 1
      18: 1
      26: 1
      27: 1
      28: q+1
      29: 1
      31: 1
      32: 1
      33: q+1
      34: 1
      38: 1
      39: 1
      41: 1
      42: 1
      43: q+1
      46: 1
      47: 1
      49: q+1
      53: 1
      55: 1
      56: 1
      58: 1
      59: 1
      66: 1
      67: 1
      68: q+1
      69: 1
      73: 1
      74: 1
      77: 1
      79: 1
      81: 1
      82: 1
      84: q+1
      86: 1
      87: 1
      89: q+1
      92: 1
      97: 1
      99: 1
     102: 1
     105: 1
     106: 1
     108: 1
     109: 1
     122: 1
     124: 1
     127: 1
     129: 1
     131: 1
     132: 1
     134: q+1
     142: 1
     151: 1
     153: 1
     157: 1
     158: 1
     160: 1
     173: 1
     175: 1
     183: 1
     185: 1
     200: 1
     213: 1
     216: 1
     235: 1
     237: 1
     266: 1

267:   5: 1
       9: 1
      10: 1
      11: q+1
      14: 1
      15: q+1
      16: 1
      17: 1
      18: 1
      19: 1
      21: 1
      22: 1
      23: q+1
      24: 1
      25: 1
      34: 1
      35: 1
      39: 1
      40: 1
      43: 1
      45: 1
      49: 1
      50: 1
      51: 1
      52: 1
      54: 1
      57: 1
      74: 1
      75: 1
      79: 1
      80: 1
      84: 1
      85: 1
      89: 1
      90: 1
      94: 1
      98: 1
     104: 1
     107: 1
     124: 1
     125: 1
     129: 1
     130: 1
     134: 1
     135: 1
     143: 1
     150: 1
     156: 1
     175: 1
     176: 1
     185: 1
     186: 1
     201: 1
     212: 1
     237: 1
     238: 1
     267: 1

268:   0: 1
       1: 1
       2: 1
       3: q+1
       4: q+1
       6: q+1
       7: q+1
       8: q+1
      12: q+1
      31: 1
      32: q+1
      33: q+1
      36: 1
      37: q+1
      38: q+1
      41: 1
      42: 1
      46: 1
      47: 1
      48: 1
      56: 1
      59: 1
      60: 1
      71: 1
      72: q+1
      73: q+1
      76: 1
      77: 1
      81: 1
      82: 1
      86: 1
      87: 1
      88: 1
      95: 1
     103: 1
     106: 1
     109: 1
     110: 1
     121: 1
     122: 1
     126: 1
     127: 1
     131: 1
     132: 1
     145: 1
     149: 1
     158: 1
     161: 1
     172: 1
     173: 1
     182: 1
     183: 1
     202: 1
     211: 1
     234: 1
     235: 1
     268: 1

269:   1: 1
       5: 1
       6: 1
       7: q+1
       9: 1
      10: 1
      11: q+1
      12: 1
      14: 1
      15: q+1
      16: 1
      17: 1
      21: 1
      22: 1
      23: q+1
      24: 1
      26: 1
      27: 1
      28: q+1
      29: 1
      38: 1
      39: 1
      40: 1
      42: 1
      43: 1
      45: 1
      47: 1
      49: 1
      50: 1
      52: 1
      53: 1
      54: 1
      55: 1
      57: 1
      58: 1
      61: 1
      62: 1
      63: q+1
      64: 1
      77: 1
      79: 1
      80: 1
      82: 1
      84: 1
      85: 1
      87: 1
      89: 1
      90: 1
      93: 1
      96: 1
      98: 1
      99: 1
     101: 1
     104: 1
     105: 1
     107: 1
     108: 1
     127: 1
     129: 1
     130: 1
     132: 1
     134: 1
     135: 1
     144: 1
     150: 1
     151: 1
     152: 1
     156: 1
     157: 1
     159: 1
     183: 1
     185: 1
     186: 1
     203: 1
     212: 1
     213: 1
     215: 1
     269: 1

270:   0: q+1
       1: q+1
       2: q^2+2q+1
       3: q+1
       4: q+1
       6: q+1
       7: q+1
       8: q^2+2q+1
      13: q^2+2q+1
      31: q+1
      32: q+1
      33: q+1
      36: q+1
      37: q+1
      41: q+1
      42: q+1
      44: q^2+2q+1
      46: 1
      47: 1
      48: q+1
      56: q+1
      59: 1
      60: 1
      71: q+1
      72: q+1
      76: q+1
      78: q+1
      81: 1
      82: 1
      83: q+1
      86: 1
      87: 1
      88: q+1
     100: 1
     103: 1
     106: 1
     109: 1
     110: 1
     121: q+1
     123: q+1
     126: 1
     128: 1
     131: 1
     132: 1
     133: q+1
     146: 1
     154: 1
     155: 1
     158: 1
     161: 1
     172: 1
     174: 1
     182: 1
     184: 1
     205: 1
     210: 1
     214: 1
     234: 1
     236: 1
     270: 1

271:   0: 1
       1: 1
       3: 1
       4: q+1
       5: 1
       6: 1
       7: q+1
       9: 1
      10: 1
      11: q+1
      14: 1
      15: q+1
      21: 1
      22: 1
      23: q+1
      26: 1
      27: 1
      28: q+1
      31: 1
      32: 1
      33: q+1
      41: 1
      42: 1
      43: 1
      45: 1
      46: 1
      47: 1
      49: 1
      50: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      61: 1
      62: 1
      63: q+1
      66: 1
      67: 1
      68: q+1
      81: 1
      82: 1
      84: 1
      85: 1
      86: 1
      87: 1
      89: 1
      90: 1
      96: 1
      97: 1
     101: 1
     102: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: 1
     109: 1
     111: 1
     112: 1
     113: q+1
     131: 1
     132: 1
     134: 1
     135: 1
     141: 1
     147: 1
     152: 1
     153: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     204: 1
     215: 1
     216: 1
     217: 1
     271: 1

272:   0: 1
       1: 1
       2: 1
       4: 1
       5: 1
       7: 1
       8: 1
       9: 1
      11: 1
      15: 1
      21: 1
      23: 1
      26: 1
      28: 1
      31: 1
      33: 1
      36: 1
      37: 1
      46: 1
      47: 1
      48: 1
      49: 1
      50: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      63: 1
      66: 1
      68: 1
      71: 1
      72: 1
      86: 1
      87: 1
      88: 1
      89: 1
      90: 1
     101: 1
     102: 1
     103: 1
     107: 1
     108: 1
     109: 1
     110: 1
     111: 1
     113: 1
     116: 1
     117: 1
     147: 1
     148: 1
     159: 1
     160: 1
     161: 1
     162: 1
     163: 1
     198: 1
     217: 1
     218: 1
     272: 1

273:   0: q^2+1
       2: 1
       3: q^2+1
       4: 1
       8: q^2+1
      13: q^2+1
      36: 1
      37: 1
      41: q^2+1
      44: q^2+1
      46: 1
      48: 1
      60: 1
      76: 1
      78: 1
      81: 1
      83: 1
      86: 1
      88: 1
     100: 1
     110: 1
     126: 1
     128: 1
     131: 1
     133: 1
     154: 1
     155: 1
     177: 1
     179: 1
     182: 1
     184: 1
     206: 1
     214: 1
     273: 1

274:   0: q+1
       2: q+1
       3: q+1
       4: 1
       8: 1
      13: 1
      36: q+1
      37: 1
      41: q+1
      44: 1
      46: 1
      48: 1
      60: 1
      76: q+1
      78: 1
      81: 1
      83: 1
      86: 1
      88: 1
     100: 1
     110: 1
     126: 1
     128: 1
     131: 1
     133: 1
     154: 1
     155: 1
     177: 1
     182: 1
     184: 1
     214: 1
     229: 1
     274: 1

275:   1: 1
       6: 1
       7: 1
      12: 1
      38: 1
      42: 1
      47: 1
      77: 1
      82: 1
      87: 1
     127: 1
     132: 1
     178: 1
     183: 1
     230: 1
     275: 1

276:   0: 1
       2: 1
       3: 1
       4: q+1
       8: q+1
      13: q+1
      36: 1
      37: q+1
      41: 1
      44: q+1
      46: 1
      48: 1
      60: 1
      76: 1
      78: q+1
      81: 1
      83: 1
      86: 1
      88: 1
     100: 1
     110: 1
     126: 1
     128: 1
     131: 1
     133: 1
     154: 1
     155: 1
     179: 1
     182: 1
     184: 1
     214: 1
     231: 1
     276: 1

277:   5: 1
      10: 1
      11: 1
      16: 1
      39: 1
      43: 1
      49: 1
      79: 1
      84: 1
      89: 1
     129: 1
     134: 1
     180: 1
     185: 1
     232: 1
     277: 1

278:   9: 1
      14: 1
      15: 1
      17: 1
      40: 1
      45: 1
      50: 1
      80: 1
      85: 1
      90: 1
     130: 1
     135: 1
     181: 1
     186: 1
     233: 1
     278: 1

279:   0: 1
       1: 1
       2: q+1
       3: q+1
       4: 1
       5: 1
       6: q+1
       7: 1
       8: q+1
       9: 1
      10: q+1
      11: 1
      14: q+1
      15: 1
      21: 1
      22: q+1
      23: 1
      26: 1
      27: q+1
      28: 1
      31: 1
      32: q+1
      33: 1
      36: 1
      37: 1
      41: 1
      42: 1
      43: 1
      45: 1
      46: 1
      47: 1
      48: q+1
      49: 1
      50: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: q+1
      63: 1
      66: 1
      67: q+1
      68: 1
      71: 1
      72: 1
      76: 1
      81: 1
      82: 1
      84: 1
      85: 1
      96: 1
      97: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     111: 1
     112: q+1
     113: 1
     116: 1
     117: 1
     121: 1
     126: 1
     141: 1
     147: 1
     148: 1
     152: 1
     153: 1
     162: 1
     163: 1
     167: 1
     172: 1
     198: 1
     204: 1
     219: 1
     224: 1
     279: 1

280:   0: q+1
       1: 1
       3: q+1
       4: q+1
       5: 1
       6: 1
       7: 1
       9: 1
      10: 1
      11: 1
      12: q+1
      14: 1
      15: 1
      16: q+1
      17: q+1
      21: 1
      22: 1
      23: 1
      24: q+1
      26: 1
      27: 1
      28: 1
      29: q+1
      31: 1
      32: 1
      33: 1
      38: 1
      39: 1
      40: 1
      41: q+1
      42: 1
      43: 1
      45: 1
      46: q+1
      47: 1
      49: 1
      50: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      61: 1
      62: 1
      63: 1
      64: q+1
      66: 1
      67: 1
      68: 1
      73: 1
      77: 1
      79: 1
      80: 1
      81: q+1
      82: 1
      84: 1
      85: 1
      93: 1
      96: 1
      97: 1
      98: 1
      99: 1
     101: 1
     102: 1
     104: 1
     105: 1
     106: 1
     111: 1
     112: 1
     113: 1
     118: 1
     122: 1
     127: 1
     129: 1
     130: 1
     141: 1
     144: 1
     147: 1
     150: 1
     151: 1
     152: 1
     153: 1
     164: 1
     168: 1
     173: 1
     203: 1
     204: 1
     220: 1
     225: 1
     280: 1

281:   0: 1
       1: 1
       2: 1
       4: 1
       5: 1
       7: 1
       8: 1
       9: 1
      11: 1
      13: q+1
      15: 1
      21: 1
      23: 1
      26: 1
      28: 1
      31: 1
      33: 1
      36: 1
      37: 1
      44: 1
      46: 1
      47: 1
      48: 1
      49: 1
      50: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      63: 1
      66: 1
      68: 1
      71: 1
      72: 1
      78: 1
      83: 1
     101: 1
     102: 1
     103: 1
     111: 1
     113: 1
     116: 1
     117: 1
     123: 1
     128: 1
     147: 1
     148: 1
     162: 1
     163: 1
     169: 1
     174: 1
     198: 1
     221: 1
     226: 1
     281: 1

282:   1: q+1
       5: 1
       6: q+1
       7: q+1
       9: 1
      10: 1
      11: 1
      12: q+1
      14: 1
      15: 1
      16: 1
      17: 1
      18: q+1
      19: q+1
      21: 1
      22: 1
      23: 1
      24: 1
      25: q+1
      26: 1
      27: 1
      28: 1
      29: 1
      34: 1
      35: 1
      38: q+1
      39: 1
      40: 1
      42: q+1
      43: 1
      45: 1
      47: q+1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      57: 1
      58: 1
      61: 1
      62: 1
      63: 1
      64: 1
      69: 1
      74: 1
      75: 1
      77: q+1
      79: 1
      80: 1
      82: q+1
      84: 1
      85: 1
      93: 1
      94: 1
      96: 1
      98: 1
      99: 1
     101: 1
     104: 1
     105: 1
     114: 1
     119: 1
     124: 1
     125: 1
     127: q+1
     129: 1
     130: 1
     143: 1
     144: 1
     150: 1
     151: 1
     152: 1
     165: 1
     170: 1
     175: 1
     176: 1
     201: 1
     203: 1
     222: 1
     227: 1
     282: 1

283:   5: 1
       9: 1
      10: 1
      11: 1
      14: 1
      15: 1
      16: 1
      17: 1
      18: 1
      19: 1
      20: q+1
      21: 1
      22: 1
      23: 1
      24: 1
      25: 1
      30: 1
      34: 1
      35: 1
      39: 1
      40: 1
      43: 1
      45: 1
      49: 1
      50: 1
      51: 1
      52: 1
      54: 1
      57: 1
      65: 1
      70: 1
      74: 1
      75: 1
      79: 1
      80: 1
      84: 1
      85: 1
      94: 1
      98: 1
     104: 1
     115: 1
     120: 1
     124: 1
     125: 1
     129: 1
     130: 1
     143: 1
     150: 1
     166: 1
     171: 1
     175: 1
     176: 1
     201: 1
     223: 1
     228: 1
     283: 1

284:   0: 1
       1: 1
       2: q+1
       3: q+1
       4: 1
       6: q+1
       7: 1
       8: q+1
      31: 1
      32: q+1
      33: 1
      36: 1
      37: 1
      41: 1
      42: 1
      46: 1
      47: 1
      48: q+1
      56: 1
      59: 1
      60: 1
      71: 1
      72: 1
      76: 1
      81: 1
      82: 1
      86: 1
      87: 1
      88: q+1
     103: 1
     106: 1
     109: 1
     110: 1
     121: 1
     126: 1
     131: 1
     132: 1
     158: 1
     161: 1
     172: 1
     177: 1
     178: 1
     182: 1
     209: 1
     229: 1
     234: 1
     284: 1

285:   0: q+1
       1: q+1
       3: 1
       4: q+1
       6: 1
       7: q+1
      12: q+1
      31: q+1
      32: 1
      33: q+1
      38: 1
      41: 1
      42: 1
      46: q+1
      47: q+1
      56: 1
      59: q+1
      73: 1
      77: 1
      81: 1
      82: 1
      86: q+1
      87: q+1
     106: 1
     109: q+1
     122: 1
     127: 1
     131: 1
     132: 1
     158: 1
     173: 1
     177: 1
     178: 1
     183: 1
     209: 1
     230: 1
     235: 1
     285: 1

286:   0: 1
       1: 1
       2: 1
       4: 1
       7: 1
       8: 1
      13: q^2+q+1
      31: 1
      33: 1
      36: 1
      37: 1
      44: 1
      46: 1
      47: 1
      48: 1
      59: 1
      60: 1
      71: 1
      72: 1
      78: 1
      83: 1
      86: 1
      87: 1
      88: 1
     103: 1
     109: 1
     110: 1
     123: 1
     128: 1
     133: 1
     161: 1
     174: 1
     179: 1
     184: 1
     231: 1
     236: 1
     286: 1

287:   5: q+1
      10: 1
      11: q+1
      16: 1
      18: 1
      34: 1
      39: 1
      43: 1
      49: q+1
      74: 1
      79: 1
      84: 1
      89: q+1
     124: 1
     129: 1
     134: 1
     175: 1
     180: 1
     185: 1
     232: 1
     237: 1
     287: 1

288:   9: q+1
      14: 1
      15: q+1
      17: 1
      19: 1
      35: 1
      40: 1
      45: 1
      50: q+1
      75: 1
      80: 1
      85: 1
      90: q+1
     125: 1
     130: 1
     135: 1
     176: 1
     181: 1
     186: 1
     233: 1
     238: 1
     288: 1

289:   0: 1
       1: 1
       2: q+1
       3: q+1
       4: q+1
       5: 1
       6: q+1
       7: q+1
       8: q^2+2q+1
      10: q+1
      11: q+1
      26: 1
      27: q+1
      28: q+1
      31: 1
      32: q+1
      33: q+1
      36: 1
      37: q+1
      41: 1
      42: 1
      43: 1
      46: 1
      47: 1
      48: q+1
      49: 1
      55: 1
      56: 1
      58: 1
      59: 1
      60: 1
      66: 1
      67: q+1
      68: q+1
      71: 1
      72: q+1
      76: 1
      81: 1
      82: 1
      84: 1
      86: 1
      87: 1
      88: q+1
      89: 1
      97: 1
     102: 1
     103: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: 1
     116: 1
     117: q+1
     121: 1
     126: 1
     131: 1
     132: 1
     134: 1
     148: 1
     153: 1
     157: 1
     158: 1
     160: 1
     161: 1
     167: 1
     172: 1
     182: 1
     216: 1
     218: 1
     224: 1
     234: 1
     289: 1

290:   0: q+1
       1: 1
       3: q+1
       4: q^2+2q+1
       5: 1
       6: 1
       7: q+1
      10: 1
      11: q+1
      12: q+1
      16: q+1
      26: 1
      27: 1
      28: q+1
      29: q+1
      31: 1
      32: 1
      33: q+1
      38: 1
      39: 1
      41: q+1
      42: 1
      43: 1
      46: q+1
      47: 1
      49: 1
      53: 1
      55: 1
      56: 1
      58: 1
      59: 1
      66: 1
      67: 1
      68: q+1
      73: 1
      77: 1
      79: 1
      81: q+1
      82: 1
      84: 1
      86: q+1
      87: 1
      89: 1
      97: 1
      99: 1
     102: 1
     105: 1
     106: 1
     108: 1
     109: 1
     118: 1
     122: 1
     127: 1
     129: 1
     131: q+1
     132: 1
     134: 1
     151: 1
     153: 1
     157: 1
     158: 1
     160: 1
     168: 1
     173: 1
     183: 1
     185: 1
     213: 1
     216: 1
     225: 1
     235: 1
     290: 1

291:   0: q+1
       1: q+1
       2: q+1
       4: 1
       5: q+1
       7: 1
       8: 1
      11: 1
      13: q^2+q+1
      26: q+1
      28: 1
      31: q+1
      33: 1
      36: q+1
      37: 1
      44: 1
      46: 1
      47: 1
      48: 1
      49: 1
      58: 1
      59: 1
      60: 1
      66: q+1
      68: 1
      71: q+1
      72: 1
      78: 1
      83: 1
      86: 1
      87: 1
      88: 1
      89: 1
     102: 1
     103: 1
     108: 1
     109: 1
     110: 1
     116: q+1
     117: 1
     123: 1
     128: 1
     133: 1
     148: 1
     160: 1
     161: 1
     169: 1
     174: 1
     184: 1
     218: 1
     226: 1
     236: 1
     291: 1

292:   1: 1
       5: 1
       6: 1
       7: q+1
      10: 1
      11: q+1
      12: 1
      16: 1
      18: q+1
      26: 1
      27: 1
      28: q+1
      29: 1
      34: 1
      38: 1
      39: 1
      42: 1
      43: 1
      47: 1
      49: 1
      53: 1
      55: 1
      58: 1
      69: 1
      74: 1
      77: 1
      79: 1
      82: 1
      84: 1
      87: 1
      89: 1
      99: 1
     105: 1
     108: 1
     119: 1
     124: 1
     127: 1
     129: 1
     132: 1
     134: 1
     151: 1
     157: 1
     170: 1
     175: 1
     183: 1
     185: 1
     213: 1
     227: 1
     237: 1
     292: 1

293:   9: 1
      14: 1
      15: q+1
      17: 1
      19: 1
      20: 1
      30: 1
      35: 1
      40: 1
      45: 1
      50: 1
      70: 1
      75: 1
      80: 1
      85: 1
      90: 1
     120: 1
     125: 1
     130: 1
     135: 1
     171: 1
     176: 1
     186: 1
     228: 1
     238: 1
     293: 1

294:   0: 1
       1: 1
       2: 1
       3: q+1
       5: 1
       6: q+1
       9: q^3+1
      10: q+1
      12: q+1
      14: 1
      16: q+1
      17: 1
      18: q+1
      19: 1
      20: 1
      21: 1
      22: 1
      24: 1
      25: 1
      26: 1
      27: q+1
      29: q+1
      30: 1
      31: 1
      32: q+1
      34: q+1
      35: 1
      36: 1
      38: q+1
      39: q+1
      40: 1
      41: 1
      42: 1
      43: 1
      45: 1
      51: 1
      52: 1
      53: q+1
      54: 1
      55: 1
      56: 1
      61: 1
      62: 1
      64: 1
      65: 1
      66: 1
      67: q+1
      69: q+1
      70: 1
      71: 1
      73: q+1
      74: q+1
      75: 1
      76: 1
      77: 1
      79: 1
      80: 1
      91: 1
      92: q+1
      93: 1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     111: 1
     112: 1
     114: 1
     115: 1
     116: 1
     118: q+1
     119: q+1
     120: 1
     121: 1
     122: 1
     124: 1
     125: 1
     136: 1
     137: 1
     138: 1
     139: q+1
     140: 1
     141: 1
     142: 1
     143: 1
     144: 1
     145: 1
     162: 1
     164: 1
     165: 1
     166: 1
     167: 1
     168: 1
     170: 1
     171: 1
     187: 1
     188: 1
     189: 1
     190: 1
     191: 1
     192: 1
     193: 1
     194: 1
     195: 1
     239: 1
     240: 1
     241: 1
     245: 1
     294: 1

295:   0: 1
       1: 1
       3: 1
       5: 1
       6: 1
       9: 1
      10: 1
      12: q+1
      14: 1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      20: q+1
      21: 1
      22: 1
      24: q+1
      25: q+1
      26: 1
      27: 1
      29: q+1
      30: q+1
      31: 1
      32: 1
      34: q+1
      35: q+1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      45: 1
      51: q+1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      61: 1
      62: 1
      64: q+1
      65: q+1
      66: 1
      67: 1
      69: q+1
      70: q+1
      73: 1
      74: 1
      75: 1
      77: 1
      79: 1
      80: 1
      91: q+1
      92: 1
      93: 1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     111: 1
     112: 1
     114: q+1
     115: q+1
     118: 1
     119: 1
     120: 1
     122: 1
     124: 1
     125: 1
     136: q+1
     137: 1
     138: 1
     139: 1
     141: 1
     142: 1
     143: 1
     144: 1
     164: 1
     165: 1
     166: 1
     168: 1
     170: 1
     171: 1
     187: 1
     188: 1
     189: 1
     192: 1
     193: 1
     194: 1
     220: 1
     222: 1
     223: 1
     239: 1
     241: 1
     242: 1
     243: 1
     295: 1

296:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       5: 1
       6: q+1
       9: 1
      10: 1
      12: q+1
      14: 1
      16: 1
      17: 1
      18: 1
      19: 1
      21: 1
      22: 1
      24: 1
      25: 1
      26: 1
      27: 1
      29: 1
      31: q+1
      32: q+1
      34: 1
      35: 1
      36: q+1
      38: q+1
      39: 1
      40: 1
      41: q+1
      42: q+1
      43: 1
      45: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: q+1
      61: 1
      62: 1
      64: 1
      66: 1
      67: 1
      69: 1
      71: q+1
      73: q+1
      74: 1
      75: 1
      76: q+1
      77: q+1
      79: 1
      80: 1
      92: 1
      93: 1
      94: 1
      95: q+1
      96: 1
      97: 1
      98: 1
      99: 1
     111: 1
     112: 1
     114: 1
     116: 1
     118: 1
     119: 1
     121: q+1
     122: q+1
     124: 1
     125: 1
     137: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: 1
     144: 1
     145: q+1
     162: 1
     164: 1
     165: 1
     167: 1
     168: 1
     170: 1
     189: 1
     190: 1
     191: 1
     192: 1
     194: 1
     195: 1
     219: 1
     220: 1
     222: 1
     240: 1
     243: 1
     244: 1
     245: 1
     296: 1

297:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: 1
       5: 1
       6: q+1
       7: 1
       8: 1
      10: 1
      11: q^3+1
      12: q+1
      13: 1
      16: 1
      18: 1
      26: 1
      27: 1
      28: 1
      29: 1
      31: q+1
      32: q+1
      33: 1
      34: 1
      36: q+1
      37: 1
      38: q+1
      39: 1
      41: q+1
      42: q+1
      43: 1
      44: 1
      46: 1
      47: 1
      48: 1
      49: 1
      53: 1
      55: 1
      56: q+1
      58: 1
      59: 1
      60: 1
      66: 1
      67: 1
      68: 1
      69: 1
      71: q+1
      72: 1
      73: q+1
      74: 1
      76: q+1
      77: q+1
      78: 1
      79: 1
      81: 1
      82: 1
      83: 1
      84: 1
      92: 1
      95: q+1
      97: 1
      99: 1
     100: 1
     102: 1
     103: 1
     105: 1
     106: 1
     116: 1
     117: 1
     118: 1
     119: 1
     121: q+1
     122: q+1
     123: 1
     124: 1
     126: 1
     127: 1
     128: 1
     129: 1
     139: 1
     140: 1
     142: 1
     145: q+1
     146: 1
     148: 1
     149: 1
     151: 1
     153: 1
     154: 1
     167: 1
     168: 1
     169: 1
     170: 1
     172: 1
     173: 1
     174: 1
     175: 1
     191: 1
     194: 1
     195: 1
     196: 1
     197: 1
     199: 1
     200: 1
     202: 1
     205: 1
     245: 1
     247: 1
     248: 1
     255: 1
     297: 1

298:   0: q+1
       1: 1
       2: q+1
       3: q+1
       4: 1
       5: 1
       6: 1
       7: q^2+1
       8: 1
       9: 1
      10: 1
      11: q^2+1
      12: 1
      13: 1
      14: 1
      15: q^2+1
      16: 1
      17: 1
      21: 1
      22: 1
      23: q^2+1
      24: 1
      26: 1
      27: 1
      28: q^2+1
      29: 1
      31: 1
      32: 1
      33: 1
      36: q+1
      37: 1
      38: 1
      39: 1
      40: 1
      41: q+1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      48: 1
      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: q^2+1
      64: 1
      66: 1
      67: 1
      68: 1
      71: 1
      72: 1
      73: 1
      76: q+1
      77: 1
      78: 1
      79: 1
      80: 1
      81: 1
      82: 1
      83: 1
      84: 1
      85: 1
      93: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     111: 1
     112: 1
     113: 1
     116: 1
     117: 1
     118: 1
     121: 1
     122: 1
     123: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     140: 1
     141: 1
     144: 1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     151: 1
     152: 1
     153: 1
     154: 1
     162: 1
     163: 1
     164: 1
     167: 1
     168: 1
     169: 1
     190: 1
     195: 1
     196: 1
     197: 1
     198: 1
     199: 1
     203: 1
     204: 1
     219: 1
     220: 1
     221: 1
     244: 1
     246: 1
     247: 1
     249: 1
     298: 1

299:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: 1
       6: q+1
       7: q^2+q+1
       8: 1
      12: q+1
      13: 1
      31: 1
      32: 1
      33: 1
      36: q+1
      37: 1
      38: q+1
      41: q+1
      42: q+1
      44: 1
      46: 1
      47: q+1
      48: 1
      56: 1
      59: 1
      60: 1
      71: 1
      72: 1
      73: 1
      76: q+1
      77: q+1
      78: 1
      81: 1
      82: q+1
      83: 1
      86: 1
      87: q+1
      88: 1
      95: 1
     100: 1
     103: 1
     106: 1
     109: 1
     110: 1
     121: 1
     122: 1
     123: 1
     126: 1
     127: q+1
     128: 1
     131: 1
     132: q+1
     133: 1
     145: 1
     146: 1
     149: 1
     154: 1
     155: 1
     158: 1
     161: 1
     177: 1
     178: 1
     182: 1
     183: q+1
     184: 1
     197: 1
     209: 1
     210: 1
     211: 1
     214: 1
     229: 1
     230: 1
     257: 1
     263: 1
     274: 1
     275: 1
     299: 1

300:   5: 1
       9: 1
      10: 1
      11: 1
      14: 1
      15: 1
      16: 1
      17: 1
      21: 1
      22: 1
      23: 1
      24: 1
      39: 1
      40: 1
      43: 1
      45: 1
      49: 1
      50: 1
      52: 1
      54: 1
      57: 1
      79: 1
      80: 1
      84: 1
      85: 1
      89: 1
      90: 1
      98: 1
     104: 1
     107: 1
     129: 1
     130: 1
     134: 1
     135: 1
     150: 1
     156: 1
     180: 1
     181: 1
     185: 1
     186: 1
     207: 1
     212: 1
     232: 1
     233: 1
     258: 1
     277: 1
     278: 1
     300: 1

301:   1: 1
       5: 1
       6: 1
       7: 1
      10: 1
      11: 1
      12: 1
      16: 1
      26: 1
      27: 1
      28: 1
      29: 1
      38: 1
      39: 1
      42: 1
      43: 1
      47: 1
      49: 1
      53: 1
      55: 1
      58: 1
      77: 1
      79: 1
      82: 1
      84: 1
      87: 1
      89: 1
      99: 1
     105: 1
     108: 1
     127: 1
     129: 1
     132: 1
     134: 1
     151: 1
     157: 1
     178: 1
     180: 1
     183: 1
     185: 1
     208: 1
     213: 1
     230: 1
     232: 1
     259: 1
     275: 1
     277: 1
     301: 1

302:   0: 1
       1: 1
       2: 1
       3: q+1
       4: 1
       5: q^2+1
       6: q+1
       7: 1
       8: 1
       9: q^2+1
      10: 1
      11: q^2+1
      12: q+1
      14: 1
      15: q^2+1
      16: 1
      17: 1
      18: 1
      19: 1
      21: q^2+1
      22: 1
      23: q^2+1
      24: 1
      25: 1
      26: 1
      27: 1
      28: 1
      29: 1
      31: 1
      32: q+1
      33: 1
      34: 1
      35: 1
      36: 1
      37: 1
      38: q+1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      45: 1
      46: 1
      47: 1
      48: 1
      49: q^2+1
      50: q^2+1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: q^2+1
      58: 1
      59: 1
      60: 1
      61: 1
      62: 1
      63: 1
      64: 1
      66: 1
      67: 1
      68: 1
      69: 1
      71: 1
      72: 1
      73: q+1
      74: 1
      75: 1
      76: 1
      77: 1
      79: 1
      80: 1
      81: 1
      82: 1
      84: 1
      85: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     111: 1
     112: 1
     113: 1
     114: 1
     116: 1
     117: 1
     118: 1
     119: 1
     121: 1
     122: 1
     124: 1
     125: 1
     126: 1
     127: 1
     129: 1
     130: 1
     137: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: 1
     144: 1
     145: 1
     147: 1
     148: 1
     149: 1
     150: 1
     151: 1
     152: 1
     153: 1
     162: 1
     163: 1
     164: 1
     165: 1
     172: 1
     173: 1
     175: 1
     176: 1
     189: 1
     190: 1
     191: 1
     192: 1
     198: 1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     240: 1
     248: 1
     249: 1
     250: 1
     302: 1

303:   0: 1
       1: 1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
       9: q^2+1
      10: 1
      11: 1
      12: q+1
      14: q^2+1
      15: q^2+1
      16: q+1
      17: 1
      18: q+1
      19: 1
      20: 1
      21: 1
      22: 1
      23: 1
      24: 1
      25: 1
      26: 1
      27: 1
      28: 1
      29: q+1
      30: 1
      31: 1
      32: 1
      33: 1
      34: q+1
      35: 1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      45: q^2+1
      46: 1
      47: 1
      49: 1
      50: q^2+1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      61: 1
      62: 1
      63: 1
      64: 1
      65: 1
      66: 1
      67: 1
      68: 1
      69: q+1
      70: 1
      73: 1
      74: 1
      75: 1
      77: 1
      79: 1
      80: 1
      81: 1
      82: 1
      84: 1
      85: q^2+1
      91: 1
      92: 1
      93: 1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     101: 1
     102: 1
     104: 1
     105: 1
     106: 1
     111: 1
     112: 1
     113: 1
     114: 1
     115: 1
     118: 1
     119: 1
     120: 1
     122: 1
     124: 1
     125: 1
     127: 1
     129: 1
     130: 1
     136: 1
     137: 1
     138: 1
     139: 1
     141: 1
     142: 1
     143: 1
     144: 1
     147: 1
     150: 1
     151: 1
     152: 1
     153: 1
     168: 1
     170: 1
     171: 1
     173: 1
     175: 1
     176: 1
     187: 1
     192: 1
     193: 1
     194: 1
     200: 1
     201: 1
     203: 1
     204: 1
     225: 1
     227: 1
     228: 1
     241: 1
     250: 1
     251: 1
     252: 1
     303: 1

304:   1: 1
       5: 1
       6: 1
       7: 1
       9: 1
      10: 1
      11: 1
      12: 1
      14: 1
      15: 1
      16: 1
      17: 1
      18: q+1
      19: q+1
      20: q+1
      21: 1
      22: 1
      23: 1
      24: 1
      25: q+1
      26: 1
      27: 1
      28: 1
      29: 1
      30: q+1
      34: 1
      35: 1
      38: 1
      39: 1
      40: 1
      42: 1
      43: 1
      45: 1
      47: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      57: 1
      58: 1
      61: 1
      62: 1
      63: 1
      64: 1
      65: q+1
      69: 1
      70: 1
      74: 1
      75: 1
      77: 1
      79: 1
      80: 1
      82: 1
      84: 1
      85: 1
      91: 1
      93: 1
      94: 1
      96: 1
      98: 1
      99: 1
     101: 1
     104: 1
     105: 1
     114: 1
     115: 1
     119: 1
     120: 1
     124: 1
     125: 1
     127: 1
     129: 1
     130: 1
     136: 1
     138: 1
     143: 1
     144: 1
     150: 1
     151: 1
     152: 1
     165: 1
     166: 1
     170: 1
     171: 1
     175: 1
     176: 1
     188: 1
     193: 1
     201: 1
     203: 1
     222: 1
     223: 1
     227: 1
     228: 1
     242: 1
     251: 1
     282: 1
     283: 1
     304: 1

305:   0: q+1
       1: q+1
       3: q+1
       4: q+1
       5: 1
       6: q+1
       7: q+1
       9: 1
      10: 1
      11: 1
      12: q^2+2q+1
      14: 1
      15: 1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      21: 1
      22: 1
      23: 1
      24: q+1
      25: q+1
      26: 1
      27: 1
      28: 1
      29: q+1
      31: q+1
      32: q+1
      33: q+1
      34: q+1
      35: q+1
      38: q+1
      39: 1
      40: 1
      41: q+1
      42: q+1
      43: 1
      45: 1
      46: q+1
      47: q+1
      49: 1
      50: 1
      51: q+1
      52: 1
      53: 1
      54: 1
      55: 1
      56: q+1
      57: 1
      58: 1
      59: q+1
      61: 1
      62: 1
      63: 1
      64: q+1
      66: 1
      67: 1
      68: 1
      69: q+1
      73: q+1
      74: 1
      75: 1
      77: q+1
      79: 1
      80: 1
      81: q+1
      82: q+1
      84: 1
      85: 1
      92: 1
      93: 1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     101: 1
     102: 1
     104: 1
     105: 1
     106: q+1
     111: 1
     112: 1
     113: 1
     114: q+1
     118: 1
     119: 1
     122: q+1
     124: 1
     125: 1
     127: q+1
     129: 1
     130: 1
     137: 1
     139: 1
     141: 1
     142: 1
     143: 1
     144: 1
     147: 1
     150: 1
     151: 1
     152: 1
     153: 1
     164: 1
     165: 1
     168: 1
     170: 1
     173: q+1
     175: 1
     176: 1
     189: 1
     192: 1
     194: 1
     200: 1
     201: 1
     203: 1
     204: 1
     220: 1
     222: 1
     225: 1
     227: 1
     243: 1
     250: 1
     252: 1
     280: 1
     282: 1
     305: 1

306:   0: q+1
       1: 1
       2: q+1
       3: q^2+2q+1
       4: q+1
       5: 1
       6: q+1
       7: 1
       8: q+1
       9: 1
      10: q+1
      11: 1
      12: q+1
      14: q+1
      15: 1
      16: q+1
      17: q+1
      21: 1
      22: q+1
      23: 1
      24: q+1
      26: 1
      27: q+1
      28: 1
      29: q+1
      31: 1
      32: q+1
      33: 1
      36: q+1
      37: q+1
      38: q+1
      39: q+1
      40: q+1
      41: q+1
      42: 1
      43: 1
      45: 1
      46: q+1
      47: 1
      48: q+1
      49: 1
      50: 1
      52: q+1
      53: q+1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: q+1
      61: 1
      62: q+1
      63: 1
      64: q+1
      66: 1
      67: q+1
      68: 1
      71: 1
      72: 1
      73: q+1
      76: q+1
      77: 1
      79: 1
      80: 1
      81: q+1
      82: 1
      84: 1
      85: 1
      93: q+1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     111: 1
     112: q+1
     113: 1
     116: 1
     117: 1
     118: q+1
     121: 1
     122: 1
     126: q+1
     127: 1
     129: 1
     130: 1
     140: 1
     141: 1
     144: 1
     145: 1
     147: 1
     148: 1
     149: 1
     150: 1
     151: 1
     152: 1
     153: 1
     162: 1
     163: 1
     164: q+1
     167: 1
     168: 1
     172: 1
     173: 1
     190: 1
     195: 1
     198: 1
     199: 1
     202: 1
     203: 1
     204: 1
     219: 1
     220: 1
     224: 1
     225: 1
     244: 1
     249: 1
     253: 1
     279: 1
     280: 1
     306: 1

307:   0: 1
       1: 1
       2: 1
       3: q+1
       4: 1
       5: 1
       6: q+1
       7: 1
       8: 1
      10: q+1
      11: 1
      12: q+1
      16: q+1
      18: q+1
      26: 1
      27: q+1
      28: 1
      29: q+1
      31: 1
      32: q+1
      33: 1
      34: q+1
      36: 1
      37: 1
      38: q+1
      39: q+1
      41: 1
      42: 1
      43: 1
      46: 1
      47: 1
      48: 1
      49: 1
      53: q+1
      55: 1
      56: 1
      58: 1
      59: 1
      60: 1
      66: 1
      67: q+1
      68: 1
      69: q+1
      71: 1
      72: 1
      73: q+1
      74: q+1
      76: 1
      77: 1
      79: 1
      81: 1
      82: 1
      84: 1
      92: q+1
      95: 1
      97: 1
      99: 1
     102: 1
     103: 1
     105: 1
     106: 1
     116: 1
     117: 1
     118: q+1
     119: q+1
     121: 1
     122: 1
     124: 1
     126: 1
     127: 1
     129: 1
     139: q+1
     140: 1
     142: 1
     145: 1
     148: 1
     149: 1
     151: 1
     153: 1
     167: 1
     168: 1
     170: 1
     172: 1
     173: 1
     175: 1
     191: 1
     194: 1
     195: 1
     199: 1
     200: 1
     202: 1
     224: 1
     225: 1
     227: 1
     245: 1
     248: 1
     252: 1
     253: 1
     307: 1

308:   0: 1
       1: 1
       2: q+1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
       8: q+1
       9: 1
      10: 1
      11: 1
      13: q+1
      14: 1
      15: 1
      21: 1
      22: 1
      23: 1
      26: 1
      27: 1
      28: 1
      31: 1
      32: 1
      33: 1
      36: 1
      37: 1
      41: 1
      42: 1
      43: 1
      44: q+1
      45: 1
      46: 1
      47: 1
      48: q+1
      49: 1
      50: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: 1
      63: 1
      66: 1
      67: 1
      68: 1
      71: 1
      72: 1
      76: 1
      78: 1
      81: 1
      82: 1
      83: q+1
      84: 1
      85: 1
      96: 1
      97: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     111: 1
     112: 1
     113: 1
     116: 1
     117: 1
     121: 1
     123: 1
     126: 1
     128: 1
     141: 1
     146: 1
     147: 1
     148: 1
     152: 1
     153: 1
     154: 1
     162: 1
     163: 1
     167: 1
     169: 1
     172: 1
     174: 1
     196: 1
     198: 1
     204: 1
     205: 1
     219: 1
     221: 1
     224: 1
     226: 1
     246: 1
     254: 1
     279: 1
     281: 1
     308: 1

309:   0: q+1
       1: 1
       2: q+1
       3: q+1
       4: q+1
       5: 1
       6: 1
       7: 1
       8: q+1
      10: 1
      11: 1
      12: 1
      13: q+1
      16: 1
      26: 1
      27: 1
      28: 1
      29: 1
      31: 1
      32: 1
      33: 1
      36: q+1
      37: q+1
      38: 1
      39: 1
      41: q+1
      42: 1
      43: 1
      44: q+1
      46: q+1
      47: 1
      48: q+1
      49: 1
      53: 1
      55: 1
      56: 1
      58: 1
      59: 1
      60: q+1
      66: 1
      67: 1
      68: 1
      71: 1
      72: 1
      73: 1
      76: q+1
      77: 1
      78: q+1
      79: 1
      81: q+1
      82: 1
      83: q+1
      84: 1
      95: 1
      97: 1
      99: 1
     100: q+1
     102: 1
     103: 1
     105: 1
     106: 1
     116: 1
     117: 1
     118: 1
     121: 1
     122: 1
     123: 1
     126: q+1
     127: 1
     128: q+1
     129: 1
     140: 1
     145: 1
     146: 1
     148: 1
     149: 1
     151: 1
     153: 1
     154: q+1
     167: 1
     168: 1
     169: 1
     172: 1
     173: 1
     174: 1
     195: 1
     196: 1
     197: 1
     199: 1
     202: 1
     205: 1
     224: 1
     225: 1
     226: 1
     247: 1
     253: 1
     254: 1
     255: 1
     309: 1

310:   0: q+1
       2: q+1
       3: q+1
       4: q+1
       8: q+1
      13: q+1
      36: q+1
      37: q+1
      41: q+1
      44: q+1
      46: q+1
      48: q+1
      60: q+1
      76: q+1
      78: q+1
      81: q+1
      83: q+1
      86: 1
      88: 1
     100: q+1
     110: 1
     126: q+1
     128: q+1
     131: 1
     133: 1
     154: q+1
     155: 1
     177: 1
     179: 1
     182: 1
     184: 1
     206: 1
     214: 1
     229: 1
     231: 1
     260: 1
     274: 1
     276: 1
     310: 1

311:   0: 3q+1
       1: q^2+2q+1
       2: 3q+1
       3: q^2+2q+1
       4: 3q+1
       6: q+1
       7: q^2+2q+1
       8: 3q+1
      12: q+1
      13: q^2+2q+1
      31: 2q+1
      32: q+1
      33: 2q+1
      36: 3q+1
      37: 3q+1
      38: q+1
      41: 2q+1
      42: q+1
      44: 2q+1
      46: 3q+1
      47: q^2+2q+1
      48: 3q+1
      56: q+1
      59: 2q+1
      60: 3q+1
      71: 2q+1
      72: 2q+1
      73: q+1
      76: 2q+1
      77: q+1
      78: 2q+1
      81: 2q+1
      82: q+1
      83: 2q+1
      86: q+1
      87: q+1
      88: q+1
      95: q+1
     100: q+1
     103: 2q+1
     106: q+1
     109: q+1
     110: q+1
     121: 1
     122: 1
     123: q+1
     126: 2q+1
     127: q+1
     128: 2q+1
     131: 1
     132: 1
     133: 1
     145: 1
     146: 1
     149: q+1
     154: q+1
     155: 1
     158: 1
     161: q+1
     172: 1
     173: 1
     174: q+1
     177: 1
     178: 1
     179: 1
     182: 1
     183: 1
     184: 1
     197: 1
     202: 1
     205: 1
     206: 1
     209: 1
     210: 1
     211: 1
     214: 1
     229: 1
     230: 1
     231: 1
     255: 1
     256: 1
     257: 1
     260: 1
     263: 1
     311: 1

312:   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
      10: q+1
      11: q+1
      13: q+1
      26: q+1
      27: q+1
      28: q+1
      31: q+1
      32: q+1
      33: q+1
      36: 1
      37: 1
      41: q+1
      42: q+1
      43: q+1
      44: q+1
      46: q+1
      47: q+1
      48: q+1
      49: q+1
      55: q+1
      56: q+1
      58: q+1
      59: q+1
      60: 1
      66: q+1
      67: q+1
      68: q+1
      71: 1
      72: 1
      76: 1
      78: 1
      81: q+1
      82: q+1
      83: q+1
      84: q+1
      86: 1
      87: 1
      88: 1
      89: 1
      97: q+1
     100: 1
     102: q+1
     103: 1
     105: q+1
     106: q+1
     108: 1
     109: 1
     110: 1
     116: 1
     117: 1
     121: 1
     123: 1
     126: 1
     128: 1
     131: 1
     132: 1
     133: 1
     134: 1
     146: 1
     148: 1
     153: q+1
     154: 1
     155: 1
     157: 1
     158: 1
     160: 1
     161: 1
     167: 1
     169: 1
     172: 1
     174: 1
     177: 1
     178: 1
     179: 1
     180: 1
     196: 1
     205: 1
     206: 1
     208: 1
     209: 1
     210: 1
     216: 1
     218: 1
     224: 1
     226: 1
     254: 1
     256: 1
     262: 1
     264: 1
     312: 1

313:   0: 1
       1: q+1
       2: 1
       3: q+1
       4: 1
       5: q+1
       6: 1
       7: q+1
       8: 1
      10: 1
      11: q+1
      12: 1
      16: 1
      26: q+1
      27: 1
      28: q+1
      29: 1
      31: 1
      32: 1
      33: 1
      36: 1
      37: 1
      38: 1
      39: 1
      41: 1
      42: 1
      43: 1
      46: 1
      47: q+1
      48: 1
      49: q+1
      53: 1
      55: 1
      56: 1
      58: q+1
      59: 1
      60: 1
      66: 1
      67: 1
      68: 1
      71: 1
      72: 1
      73: 1
      76: 1
      77: 1
      79: 1
      81: 1
      82: 1
      84: 1
      86: 1
      87: q+1
      88: 1
      89: q+1
      95: 1
      97: 1
      99: 1
     102: 1
     103: 1
     105: 1
     106: 1
     108: q+1
     109: 1
     110: 1
     116: 1
     117: 1
     118: 1
     126: 1
     127: 1
     129: 1
     131: 1
     132: 1
     134: 1
     140: 1
     148: 1
     149: 1
     151: 1
     153: 1
     157: 1
     158: 1
     160: 1
     161: 1
     177: 1
     178: 1
     180: 1
     182: 1
     183: 1
     185: 1
     199: 1
     208: 1
     209: 1
     211: 1
     213: 1
     216: 1
     218: 1
     229: 1
     230: 1
     232: 1
     257: 1
     259: 1
     262: 1
     265: 1
     313: 1

314:   0: q+1
       1: q+1
       3: 1
       4: q+1
       5: q^2+2q+1
       6: 1
       7: q+1
      10: q+1
      11: q^2+2q+1
      12: q+1
      16: 1
      18: 1
      26: q+1
      27: 1
      28: q+1
      29: 1
      31: q+1
      32: 1
      33: q+1
      34: 1
      38: 1
      39: 1
      41: 1
      42: 1
      43: q+1
      46: q+1
      47: q+1
      49: q^2+2q+1
      53: 1
      55: 1
      56: 1
      58: q+1
      59: q+1
      66: q+1
      67: 1
      68: q+1
      69: 1
      73: 1
      74: 1
      77: 1
      79: 1
      81: 1
      82: 1
      84: q+1
      86: q+1
      87: q+1
      89: q^2+2q+1
      92: 1
      97: 1
      99: 1
     102: q+1
     105: 1
     106: 1
     108: q+1
     109: q+1
     122: 1
     124: 1
     127: 1
     129: 1
     131: 1
     132: 1
     134: q+1
     142: 1
     151: 1
     153: 1
     157: 1
     158: 1
     160: q+1
     173: 1
     175: 1
     177: 1
     178: 1
     180: q+1
     183: 1
     185: 1
     200: 1
     208: 1
     209: 1
     213: 1
     216: 1
     230: 1
     232: 1
     235: 1
     237: 1
     259: 1
     262: 1
     266: 1
     285: 1
     287: 1
     314: 1

315:   5: q+1
       9: q+1
      10: 1
      11: q+1
      14: 1
      15: q+1
      16: 1
      17: 1
      18: 1
      19: 1
      21: q+1
      22: 1
      23: q+1
      24: 1
      25: 1
      34: 1
      35: 1
      39: 1
      40: 1
      43: 1
      45: 1
      49: q+1
      50: q+1
      51: 1
      52: 1
      54: 1
      57: q+1
      74: 1
      75: 1
      79: 1
      80: 1
      84: 1
      85: 1
      89: q+1
      90: q+1
      94: 1
      98: 1
     104: 1
     107: q+1
     124: 1
     125: 1
     129: 1
     130: 1
     134: 1
     135: 1
     143: 1
     150: 1
     156: 1
     175: 1
     176: 1
     180: 1
     181: 1
     185: 1
     186: 1
     201: 1
     207: 1
     212: 1
     232: 1
     233: 1
     237: 1
     238: 1
     258: 1
     267: 1
     287: 1
     288: 1
     315: 1

316:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       6: q+1
       7: q+1
       8: q+1
      12: q+1
      31: q+1
      32: q+1
      33: q+1
      36: q+1
      37: q+1
      38: q+1
      41: 1
      42: 1
      46: q+1
      47: q+1
      48: q+1
      56: 1
      59: q+1
      60: q+1
      71: q+1
      72: q+1
      73: q+1
      76: 1
      77: 1
      81: 1
      82: 1
      86: q+1
      87: q+1
      88: q+1
      95: 1
     103: q+1
     106: 1
     109: q+1
     110: q+1
     121: 1
     122: 1
     126: 1
     127: 1
     131: 1
     132: 1
     145: 1
     149: 1
     158: 1
     161: q+1
     172: 1
     173: 1
     177: 1
     178: 1
     182: 1
     183: 1
     202: 1
     209: 1
     211: 1
     229: 1
     230: 1
     234: 1
     235: 1
     257: 1
     268: 1
     284: 1
     285: 1
     316: 1

317:   1: q+1
       5: q+1
       6: 1
       7: q+1
       9: q+1
      10: 1
      11: q+1
      12: 1
      14: 1
      15: q+1
      16: 1
      17: 1
      21: q+1
      22: 1
      23: q+1
      24: 1
      26: q+1
      27: 1
      28: q+1
      29: 1
      38: 1
      39: 1
      40: 1
      42: 1
      43: 1
      45: 1
      47: q+1
      49: q+1
      50: q+1
      52: 1
      53: 1
      54: 1
      55: 1
      57: q+1
      58: q+1
      61: q+1
      62: 1
      63: q+1
      64: 1
      77: 1
      79: 1
      80: 1
      82: 1
      84: 1
      85: 1
      87: q+1
      89: q+1
      90: q+1
      93: 1
      96: 1
      98: 1
      99: 1
     101: q+1
     104: 1
     105: 1
     107: q+1
     108: q+1
     127: 1
     129: 1
     130: 1
     132: 1
     134: 1
     135: 1
     144: 1
     150: 1
     151: 1
     152: 1
     156: 1
     157: 1
     159: q+1
     178: 1
     180: 1
     181: 1
     183: 1
     185: 1
     186: 1
     203: 1
     207: 1
     208: 1
     212: 1
     213: 1
     215: 1
     230: 1
     232: 1
     233: 1
     258: 1
     259: 1
     261: 1
     269: 1
     317: 1

318:   0: 2q+1
       1: 2q+1
       2: 2q^2+3q+1
       3: q^2+q+1
       4: 2q+1
       6: q^2+q+1
       7: 2q+1
       8: 2q^2+3q+1
      13: q^3+2q^2+2q+1
      31: 2q+1
      32: q^2+q+1
      33: 2q+1
      36: 2q+1
      37: 2q+1
      41: q+1
      42: q+1
      44: q^2+2q+1
      46: 2q+1
      47: 2q+1
      48: 2q^2+3q+1
      56: q+1
      59: 2q+1
      60: 2q+1
      71: 2q+1
      72: 2q+1
      76: q+1
      78: q+1
      81: q+1
      82: q+1
      83: q^2+2q+1
      86: q+1
      87: q+1
      88: q^2+2q+1
     100: 1
     103: 2q+1
     106: q+1
     109: q+1
     110: q+1
     121: q+1
     123: q+1
     126: q+1
     128: q+1
     131: 1
     132: 1
     133: q+1
     146: 1
     154: 1
     155: 1
     158: 1
     161: q+1
     172: q+1
     174: q+1
     177: 1
     178: 1
     179: q+1
     182: 1
     184: 1
     205: 1
     206: 1
     209: 1
     210: 1
     214: 1
     229: 1
     231: 1
     234: 1
     236: 1
     256: 1
     260: 1
     270: 1
     284: 1
     286: 1
     318: 1

319:   0: 1
       1: 1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
       9: 1
      10: 1
      11: 1
      14: 1
      15: 1
      21: 1
      22: 1
      23: 1
      26: 1
      27: 1
      28: 1
      31: 1
      32: 1
      33: 1
      41: 1
      42: 1
      43: 1
      45: 1
      46: 1
      47: 1
      49: 1
      50: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      61: 1
      62: 1
      63: 1
      66: 1
      67: 1
      68: 1
      81: 1
      82: 1
      84: 1
      85: 1
      86: 1
      87: 1
      89: 1
      90: 1
      96: 1
      97: 1
     101: 1
     102: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: 1
     109: 1
     111: 1
     112: 1
     113: 1
     131: 1
     132: 1
     134: 1
     135: 1
     141: 1
     147: 1
     152: 1
     153: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     177: 1
     178: 1
     180: 1
     181: 1
     204: 1
     207: 1
     208: 1
     209: 1
     215: 1
     216: 1
     217: 1
     261: 1
     262: 1
     271: 1
     319: 1

320:   0: q+1
       1: 1
       2: q+1
       3: q+1
       4: q+1
       5: 1
       6: 1
       7: q^2+q+1
       8: q+1
      10: 1
      11: q^2+q+1
      12: 1
      13: q+1
      16: 1
      26: 1
      27: 1
      28: q^2+q+1
      29: 1
      31: 1
      32: 1
      33: q+1
      36: q+1
      37: q+1
      38: 1
      39: 1
      41: q+1
      42: 1
      43: 1
      44: q+1
      46: 1
      47: 1
      48: 1
      49: 1
      53: 1
      55: 1
      56: 1
      58: 1
      59: 1
      60: 1
      66: 1
      67: 1
      68: q+1
      71: 1
      72: q+1
      73: 1
      76: q+1
      77: 1
      78: q+1
      79: 1
      81: 1
      82: 1
      83: 1
      84: 1
      86: 1
      87: 1
      88: 1
      89: 1
      95: 1
      97: 1
      99: 1
     100: 1
     102: 1
     103: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: 1
     116: 1
     117: q+1
     118: 1
     121: 1
     122: 1
     123: q+1
     126: 1
     127: 1
     128: 1
     129: 1
     131: 1
     132: 1
     133: 1
     134: 1
     140: 1
     145: 1
     146: 1
     148: 1
     149: 1
     151: 1
     153: 1
     154: 1
     155: 1
     157: 1
     158: 1
     160: 1
     161: 1
     167: 1
     168: 1
     169: q+1
     182: 1
     183: 1
     184: 1
     185: 1
     195: 1
     196: 1
     197: 1
     199: 1
     210: 1
     211: 1
     213: 1
     214: 1
     216: 1
     218: 1
     247: 1
     263: 1
     264: 1
     265: 1
     320: 1

321:   0: 1
       1: 1
       2: q+1
       3: 1
       4: q+1
       5: 1
       6: 1
       7: q+1
       8: 1
       9: 1
      10: 1
      11: q+1
      13: 1
      14: 1
      15: q+1
      21: 1
      22: 1
      23: q+1
      26: 1
      27: 1
      28: q+1
      31: 1
      32: 1
      33: q+1
      36: 1
      37: 1
      41: 1
      42: 1
      43: 1
      44: 1
      45: 1
      46: 1
      47: 1
      48: 1
      49: 1
      50: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: 1
      63: q+1
      66: 1
      67: 1
      68: q+1
      71: 1
      72: 1
      76: 1
      78: 1
      81: 1
      82: 1
      83: 1
      84: 1
      85: 1
      86: 1
      87: 1
      88: 1
      89: 1
      90: 1
      96: 1
      97: 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
     116: 1
     117: 1
     121: 1
     123: 1
     131: 1
     132: 1
     133: 1
     134: 1
     135: 1
     141: 1
     146: 1
     147: 1
     148: 1
     152: 1
     153: 1
     155: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     161: 1
     162: 1
     163: 1
     167: 1
     169: 1
     196: 1
     198: 1
     204: 1
     210: 1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     221: 1
     246: 1
     264: 1
     271: 1
     272: 1
     321: 1

322:   0: 1
       1: 1
       2: 1
       3: q+1
       4: q+1
       5: q^2+1
       6: q+1
       7: q+1
       8: q+1
      10: 1
      11: q^3+q^2+q+1
      12: q+1
      16: 1
      18: 1
      26: 1
      27: 1
      28: q+1
      29: 1
      31: 1
      32: q+1
      33: q+1
      34: 1
      36: 1
      37: q+1
      38: q+1
      39: 1
      41: 1
      42: 1
      43: 1
      46: 1
      47: 1
      48: 1
      49: q^2+1
      53: 1
      55: 1
      56: 1
      58: 1
      59: 1
      60: 1
      66: 1
      67: 1
      68: q+1
      69: 1
      71: 1
      72: q+1
      73: q+1
      74: 1
      76: 1
      77: 1
      79: 1
      81: 1
      82: 1
      84: 1
      86: 1
      87: 1
      88: 1
      89: q^2+1
      92: 1
      95: 1
      97: 1
      99: 1
     102: 1
     103: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: 1
     116: 1
     117: q+1
     118: 1
     119: 1
     121: 1
     122: 1
     124: 1
     126: 1
     127: 1
     129: 1
     131: 1
     132: 1
     134: 1
     139: 1
     140: 1
     142: 1
     145: 1
     148: 1
     149: 1
     151: 1
     153: 1
     157: 1
     158: 1
     160: 1
     161: 1
     172: 1
     173: 1
     175: 1
     182: 1
     183: 1
     185: 1
     191: 1
     199: 1
     200: 1
     202: 1
     211: 1
     213: 1
     216: 1
     218: 1
     234: 1
     235: 1
     237: 1
     248: 1
     265: 1
     266: 1
     268: 1
     322: 1

323:   0: 1
       1: q+1
       2: 1
       3: q+1
       4: q+1
       5: q+1
       6: 1
       7: q^2+2q+1
       8: q+1
       9: q+1
      10: 1
      11: q^2+2q+1
      12: 1
      14: 1
      15: q^2+2q+1
      16: 1
      17: 1
      21: q+1
      22: 1
      23: q^2+2q+1
      24: 1
      26: q+1
      27: 1
      28: q^2+2q+1
      29: 1
      31: 1
      32: 1
      33: q+1
      36: 1
      37: q+1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      45: 1
      46: 1
      47: q+1
      48: 1
      49: q+1
      50: q+1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: q+1
      58: q+1
      59: 1
      60: 1
      61: q+1
      62: 1
      63: q^2+2q+1
      64: 1
      66: 1
      67: 1
      68: q+1
      71: 1
      72: q+1
      73: 1
      76: 1
      77: 1
      79: 1
      80: 1
      81: 1
      82: 1
      84: 1
      85: 1
      86: 1
      87: q+1
      88: 1
      89: q+1
      90: q+1
      93: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     101: q+1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     107: q+1
     108: q+1
     109: 1
     110: 1
     111: 1
     112: 1
     113: q+1
     116: 1
     117: q+1
     118: 1
     126: 1
     127: 1
     129: 1
     130: 1
     131: 1
     132: 1
     134: 1
     135: 1
     140: 1
     141: 1
     144: 1
     147: 1
     148: 1
     149: 1
     150: 1
     151: 1
     152: 1
     153: 1
     156: 1
     157: 1
     158: 1
     159: q+1
     160: 1
     161: 1
     162: 1
     163: q+1
     164: 1
     182: 1
     183: 1
     185: 1
     186: 1
     190: 1
     198: 1
     199: 1
     203: 1
     204: 1
     211: 1
     212: 1
     213: 1
     215: 1
     216: 1
     217: 1
     218: 1
     249: 1
     265: 1
     269: 1
     271: 1
     272: 1
     323: 1

324:   0: 1
       1: 1
       3: 1
       4: q+1
       5: q+1
       6: 1
       7: q+1
       9: q+1
      10: q+1
      11: q^2+2q+1
      12: q+1
      14: q+1
      15: q^2+2q+1
      16: 1
      17: 1
      18: 1
      19: 1
      21: q+1
      22: q+1
      23: q^2+2q+1
      24: 1
      25: 1
      26: 1
      27: 1
      28: q+1
      29: 1
      31: 1
      32: 1
      33: q+1
      34: 1
      35: 1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: q+1
      45: q+1
      46: 1
      47: 1
      49: q+1
      50: q+1
      51: 1
      52: 1
      53: 1
      54: q+1
      55: 1
      56: 1
      57: q+1
      58: 1
      59: 1
      61: 1
      62: 1
      63: q+1
      64: 1
      66: 1
      67: 1
      68: q+1
      69: 1
      73: 1
      74: 1
      75: 1
      77: 1
      79: 1
      80: 1
      81: 1
      82: 1
      84: q+1
      85: q+1
      86: 1
      87: 1
      89: q+1
      90: q+1
      92: 1
      93: 1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     101: 1
     102: 1
     104: q+1
     105: 1
     106: 1
     107: q+1
     108: 1
     109: 1
     111: 1
     112: 1
     113: q+1
     114: 1
     122: 1
     124: 1
     125: 1
     127: 1
     129: 1
     130: 1
     131: 1
     132: 1
     134: q+1
     135: q+1
     137: 1
     141: 1
     142: 1
     143: 1
     144: 1
     147: 1
     150: 1
     151: 1
     152: 1
     153: 1
     156: q+1
     157: 1
     158: 1
     159: 1
     160: 1
     173: 1
     175: 1
     176: 1
     183: 1
     185: 1
     186: 1
     192: 1
     200: 1
     201: 1
     203: 1
     204: 1
     212: 1
     213: 1
     215: 1
     216: 1
     217: 1
     235: 1
     237: 1
     238: 1
     250: 1
     266: 1
     267: 1
     269: 1
     271: 1
     324: 1

325:   1: 1
       5: 1
       6: 1
       7: q+1
       9: q+1
      10: 1
      11: q+1
      12: 1
      14: q+1
      15: q^2+2q+1
      16: 1
      17: q+1
      18: q+1
      19: 1
      20: 1
      21: 1
      22: 1
      23: q+1
      24: 1
      25: 1
      26: 1
      27: 1
      28: q+1
      29: 1
      30: 1
      34: 1
      35: 1
      38: 1
      39: 1
      40: q+1
      42: 1
      43: 1
      45: q+1
      47: 1
      49: 1
      50: q+1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      57: 1
      58: 1
      61: 1
      62: 1
      63: q+1
      64: 1
      65: 1
      69: 1
      70: 1
      74: 1
      75: 1
      77: 1
      79: 1
      80: q+1
      82: 1
      84: 1
      85: q+1
      87: 1
      89: 1
      90: q+1
      91: 1
      93: 1
      94: 1
      96: 1
      98: 1
      99: 1
     101: 1
     104: 1
     105: 1
     107: 1
     108: 1
     119: 1
     120: 1
     124: 1
     125: 1
     127: 1
     129: 1
     130: q+1
     132: 1
     134: 1
     135: q+1
     138: 1
     143: 1
     144: 1
     150: 1
     151: 1
     152: 1
     156: 1
     157: 1
     159: 1
     170: 1
     171: 1
     175: 1
     176: 1
     183: 1
     185: 1
     186: q+1
     193: 1
     201: 1
     203: 1
     212: 1
     213: 1
     215: 1
     227: 1
     228: 1
     237: 1
     238: 1
     251: 1
     267: 1
     269: 1
     292: 1
     293: 1
     325: 1

326:   0: 1
       1: 1
       3: 1
       4: q+1
       5: 1
       6: 1
       7: q+1
      10: 1
      11: q+1
      12: q+1
      16: q+1
      18: q+1
      26: 1
      27: 1
      28: q+1
      29: q+1
      31: 1
      32: 1
      33: q+1
      34: q+1
      38: 1
      39: 1
      41: 1
      42: 1
      43: 1
      46: 1
      47: 1
      49: 1
      53: 1
      55: 1
      56: 1
      58: 1
      59: 1
      66: 1
      67: 1
      68: q+1
      69: q+1
      73: 1
      74: 1
      77: 1
      79: 1
      81: 1
      82: 1
      84: 1
      86: 1
      87: 1
      89: 1
      92: 1
      97: 1
      99: 1
     102: 1
     105: 1
     106: 1
     108: 1
     109: 1
     118: 1
     119: 1
     122: 1
     124: 1
     127: 1
     129: 1
     131: 1
     132: 1
     134: 1
     139: 1
     142: 1
     151: 1
     153: 1
     157: 1
     158: 1
     160: 1
     168: 1
     170: 1
     173: 1
     175: 1
     183: 1
     185: 1
     194: 1
     200: 1
     213: 1
     216: 1
     225: 1
     227: 1
     235: 1
     237: 1
     252: 1
     266: 1
     290: 1
     292: 1
     326: 1

327:   0: q+1
       1: 1
       2: q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: 1
       6: q+1
       7: q+1
       8: q^2+2q+1
      10: q+1
      11: q+1
      12: q+1
      16: q+1
      26: 1
      27: q+1
      28: q+1
      29: q+1
      31: 1
      32: q+1
      33: q+1
      36: q+1
      37: q^2+2q+1
      38: q+1
      39: q+1
      41: q+1
      42: 1
      43: 1
      46: q+1
      47: 1
      48: q+1
      49: 1
      53: q+1
      55: 1
      56: 1
      58: 1
      59: 1
      60: q+1
      66: 1
      67: q+1
      68: q+1
      71: 1
      72: q+1
      73: q+1
      76: q+1
      77: 1
      79: 1
      81: q+1
      82: 1
      84: 1
      86: q+1
      87: 1
      88: q+1
      89: 1
      95: 1
      97: 1
      99: 1
     102: 1
     103: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: q+1
     116: 1
     117: q+1
     118: q+1
     121: 1
     122: 1
     126: q+1
     127: 1
     129: 1
     131: q+1
     132: 1
     134: 1
     140: 1
     145: 1
     148: 1
     149: 1
     151: 1
     153: 1
     157: 1
     158: 1
     160: 1
     161: 1
     167: 1
     168: 1
     172: 1
     173: 1
     182: q+1
     183: 1
     185: 1
     195: 1
     199: 1
     202: 1
     211: 1
     213: 1
     216: 1
     218: 1
     224: 1
     225: 1
     234: 1
     235: 1
     253: 1
     265: 1
     268: 1
     289: 1
     290: 1
     327: 1

328:   0: q+1
       1: q+1
       2: q^2+2q+1
       3: q+1
       4: q+1
       5: q+1
       6: q+1
       7: q+1
       8: q^2+2q+1
      10: q+1
      11: q+1
      13: q^2+2q+1
      26: q+1
      27: q+1
      28: q+1
      31: q+1
      32: q+1
      33: q+1
      36: q+1
      37: q+1
      41: q+1
      42: q+1
      43: q+1
      44: q^2+2q+1
      46: 1
      47: 1
      48: q+1
      49: 1
      55: q+1
      56: q+1
      58: 1
      59: 1
      60: 1
      66: q+1
      67: q+1
      68: q+1
      71: q+1
      72: q+1
      76: q+1
      78: q+1
      81: 1
      82: 1
      83: q+1
      84: 1
      86: 1
      87: 1
      88: q+1
      89: 1
      97: q+1
     100: 1
     102: 1
     103: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: 1
     116: q+1
     117: q+1
     121: q+1
     123: q+1
     126: 1
     128: 1
     131: 1
     132: 1
     133: q+1
     134: 1
     146: 1
     148: 1
     153: 1
     154: 1
     155: 1
     157: 1
     158: 1
     160: 1
     161: 1
     167: q+1
     169: q+1
     172: 1
     174: 1
     182: 1
     184: 1
     196: 1
     205: 1
     210: 1
     214: 1
     216: 1
     218: 1
     224: 1
     226: 1
     234: 1
     236: 1
     254: 1
     264: 1
     270: 1
     289: 1
     291: 1
     328: 1

329:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       6: q+1
       7: q+1
       8: q+1
      12: q+1
      13: q+1
      31: q+1
      32: q+1
      33: q+1
      36: q+1
      37: q+1
      38: q+1
      41: q+1
      42: q+1
      44: q+1
      46: 1
      47: 1
      48: 1
      56: q+1
      59: 1
      60: 1
      71: q+1
      72: q+1
      73: q+1
      76: q+1
      77: q+1
      78: q+1
      81: 1
      82: 1
      83: 1
      86: 1
      87: 1
      88: 1
      95: q+1
     100: 1
     103: 1
     106: 1
     109: 1
     110: 1
     121: q+1
     122: q+1
     123: q+1
     126: 1
     127: 1
     128: 1
     131: 1
     132: 1
     133: 1
     145: q+1
     146: 1
     149: 1
     154: 1
     155: 1
     158: 1
     161: 1
     172: 1
     173: 1
     174: 1
     182: 1
     183: 1
     184: 1
     197: 1
     202: 1
     205: 1
     210: 1
     211: 1
     214: 1
     234: 1
     235: 1
     236: 1
     255: 1
     263: 1
     268: 1
     270: 1
     329: 1

330:   0: q^2+1
       1: q^2+1
       2: q+1
       3: q^2+1
       4: 1
       6: q^2+1
       7: 1
       8: q^2+q+1
      13: q^2+q+1
      31: q^2+1
      32: q^2+1
      33: 1
      36: 1
      37: 1
      41: q^2+1
      42: q^2+1
      44: q^2+q+1
      46: 1
      47: 1
      48: q+1
      56: q^2+1
      59: 1
      60: 1
      71: 1
      72: 1
      76: 1
      78: 1
      81: 1
      82: 1
      83: q+1
      86: 1
      87: 1
      88: q+1
     100: 1
     103: 1
     106: 1
     109: 1
     110: 1
     121: 1
     123: 1
     126: 1
     128: 1
     131: 1
     132: 1
     133: q+1
     146: 1
     154: 1
     155: 1
     158: 1
     161: 1
     172: 1
     174: 1
     177: 1
     178: 1
     179: q+1
     182: 1
     184: 1
     205: 1
     206: 1
     209: 1
     210: 1
     214: 1
     234: 1
     236: 1
     256: 1
     270: 1
     273: 1
     330: 1

331:   0: 1
       2: 1
       3: q^3+1
       4: 1
       8: 1
      13: q^3+1
      36: 1
      37: 1
      41: 1
      44: 1
      46: 1
      48: 1
      60: 1
      76: 1
      78: 1
      81: 1
      83: 1
      86: 1
      88: 1
     100: 1
     110: 1
     126: 1
     128: 1
     131: 1
     133: 1
     154: 1
     155: 1
     177: 1
     179: 1
     182: 1
     184: 1
     206: 1
     214: 1
     229: 1
     231: 1
     260: 1
     273: 1
     331: 1

332:   0: q+1
       1: q+1
       2: q^2+2q+1
       3: q+1
       4: 1
       6: q+1
       7: 1
       8: q+1
      13: q+1
      31: q+1
      32: q+1
      33: 1
      36: q+1
      37: 1
      41: q+1
      42: q+1
      44: q+1
      46: 1
      47: 1
      48: q+1
      56: q+1
      59: 1
      60: 1
      71: q+1
      72: 1
      76: q+1
      78: 1
      81: 1
      82: 1
      83: q+1
      86: 1
      87: 1
      88: q+1
     100: 1
     103: 1
     106: 1
     109: 1
     110: 1
     121: q+1
     123: 1
     126: 1
     128: 1
     131: 1
     132: 1
     133: q+1
     146: 1
     154: 1
     155: 1
     158: 1
     161: 1
     172: 1
     174: 1
     177: 1
     178: 1
     182: 1
     184: 1
     205: 1
     209: 1
     210: 1
     214: 1
     229: 1
     234: 1
     236: 1
     270: 1
     274: 1
     284: 1
     332: 1

333:   0: 1
       1: 1
       3: 1
       4: 1
       6: 1
       7: 1
      12: q+1
      31: 1
      32: 1
      33: 1
      38: 1
      41: 1
      42: 1
      46: 1
      47: 1
      56: 1
      59: 1
      73: 1
      77: 1
      81: 1
      82: 1
      86: 1
      87: 1
     106: 1
     109: 1
     122: 1
     127: 1
     131: 1
     132: 1
     158: 1
     173: 1
     177: 1
     178: 1
     183: 1
     209: 1
     230: 1
     235: 1
     275: 1
     285: 1
     333: 1

334:   0: 1
       1: 1
       2: q+1
       3: 1
       4: q+1
       6: 1
       7: q+1
       8: q^2+2q+1
      13: q^2+2q+1
      31: 1
      32: 1
      33: q+1
      36: 1
      37: q+1
      41: 1
      42: 1
      44: q^2+2q+1
      46: 1
      47: 1
      48: q+1
      56: 1
      59: 1
      60: 1
      71: 1
      72: q+1
      76: 1
      78: q+1
      81: 1
      82: 1
      83: q+1
      86: 1
      87: 1
      88: q+1
     100: 1
     103: 1
     106: 1
     109: 1
     110: 1
     121: 1
     123: q+1
     126: 1
     128: 1
     131: 1
     132: 1
     133: q+1
     146: 1
     154: 1
     155: 1
     158: 1
     161: 1
     172: 1
     174: 1
     179: q+1
     182: 1
     184: 1
     205: 1
     210: 1
     214: 1
     231: 1
     234: 1
     236: 1
     270: 1
     276: 1
     286: 1
     334: 1

335:   5: q+1
      10: q+1
      11: q+1
      16: 1
      18: 1
      34: 1
      39: 1
      43: q+1
      49: q+1
      74: 1
      79: 1
      84: q+1
      89: q+1
     124: 1
     129: 1
     134: q+1
     175: 1
     180: q+1
     185: 1
     232: 1
     237: 1
     277: 1
     287: 1
     335: 1

336:   9: q+1
      14: q+1
      15: q+1
      17: 1
      19: 1
      35: 1
      40: 1
      45: q+1
      50: q+1
      75: 1
      80: 1
      85: q+1
      90: q+1
     125: 1
     130: 1
     135: q+1
     176: 1
     181: q+1
     186: 1
     233: 1
     238: 1
     278: 1
     288: 1
     336: 1

337:   0: 1
       1: 1
       2: q^2+q+1
       3: q+1
       4: 1
       5: 1
       6: q+1
       7: 1
       8: q^2+q+1
      10: q+1
      11: 1
      26: 1
      27: q+1
      28: 1
      31: 1
      32: q+1
      33: 1
      36: 1
      37: 1
      41: 1
      42: 1
      43: 1
      46: 1
      47: 1
      48: q^2+q+1
      49: 1
      55: 1
      56: 1
      58: 1
      59: 1
      60: 1
      66: 1
      67: q+1
      68: 1
      71: 1
      72: 1
      76: 1
      81: 1
      82: 1
      84: 1
      86: 1
      87: 1
      88: q^2+q+1
      89: 1
      97: 1
     102: 1
     103: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: 1
     116: 1
     117: 1
     121: 1
     126: 1
     131: 1
     132: 1
     134: 1
     148: 1
     153: 1
     157: 1
     158: 1
     160: 1
     161: 1
     167: 1
     172: 1
     177: 1
     178: 1
     180: 1
     182: 1
     208: 1
     209: 1
     216: 1
     218: 1
     224: 1
     229: 1
     234: 1
     262: 1
     284: 1
     289: 1
     337: 1

338:   0: q^2+2q+1
       1: q+1
       3: q+1
       4: q^2+2q+1
       5: q+1
       6: 1
       7: q+1
      10: 1
      11: q+1
      12: q+1
      16: q+1
      26: q+1
      27: 1
      28: q+1
      29: q+1
      31: q+1
      32: 1
      33: q+1
      38: 1
      39: 1
      41: q+1
      42: 1
      43: 1
      46: q^2+2q+1
      47: q+1
      49: q+1
      53: 1
      55: 1
      56: 1
      58: q+1
      59: q+1
      66: q+1
      67: 1
      68: q+1
      73: 1
      77: 1
      79: 1
      81: q+1
      82: 1
      84: 1
      86: q^2+2q+1
      87: q+1
      89: q+1
      97: 1
      99: 1
     102: q+1
     105: 1
     106: 1
     108: q+1
     109: q+1
     118: 1
     122: 1
     127: 1
     129: 1
     131: q+1
     132: 1
     134: 1
     151: 1
     153: 1
     157: 1
     158: 1
     160: q+1
     168: 1
     173: 1
     177: q+1
     178: 1
     180: 1
     183: 1
     185: 1
     208: 1
     209: 1
     213: 1
     216: 1
     225: 1
     230: 1
     232: 1
     235: 1
     259: 1
     262: 1
     285: 1
     290: 1
     338: 1

339:   0: 1
       1: 1
       2: 1
       4: 1
       5: 1
       7: 1
       8: 1
      11: 1
      13: q^3+q^2+q+1
      26: 1
      28: 1
      31: 1
      33: 1
      36: 1
      37: 1
      44: 1
      46: 1
      47: 1
      48: 1
      49: 1
      58: 1
      59: 1
      60: 1
      66: 1
      68: 1
      71: 1
      72: 1
      78: 1
      83: 1
      86: 1
      87: 1
      88: 1
      89: 1
     102: 1
     103: 1
     108: 1
     109: 1
     110: 1
     116: 1
     117: 1
     123: 1
     128: 1
     133: 1
     148: 1
     160: 1
     161: 1
     169: 1
     174: 1
     179: 1
     184: 1
     218: 1
     226: 1
     231: 1
     236: 1
     286: 1
     291: 1
     339: 1

340:   1: q+1
       5: q+1
       6: 1
       7: q+1
      10: 1
      11: q+1
      12: 1
      16: 1
      18: q+1
      26: q+1
      27: 1
      28: q+1
      29: 1
      34: 1
      38: 1
      39: 1
      42: 1
      43: 1
      47: q+1
      49: q+1
      53: 1
      55: 1
      58: q+1
      69: 1
      74: 1
      77: 1
      79: 1
      82: 1
      84: 1
      87: q+1
      89: q+1
      99: 1
     105: 1
     108: q+1
     119: 1
     124: 1
     127: 1
     129: 1
     132: 1
     134: 1
     151: 1
     157: 1
     170: 1
     175: 1
     178: 1
     180: 1
     183: 1
     185: 1
     208: 1
     213: 1
     227: 1
     230: 1
     232: 1
     237: 1
     259: 1
     287: 1
     292: 1
     340: 1

341:   9: q+1
      14: 1
      15: q+1
      17: 1
      19: 1
      20: 1
      30: 1
      35: 1
      40: 1
      45: 1
      50: q+1
      70: 1
      75: 1
      80: 1
      85: 1
      90: q+1
     120: 1
     125: 1
     130: 1
     135: 1
     171: 1
     176: 1
     181: 1
     186: 1
     228: 1
     233: 1
     238: 1
     288: 1
     293: 1
     341: 1

342:   0: 1
       1: 1
       2: q+1
       3: q+1
       4: q+1
       5: 1
       6: q+1
       7: q+1
       8: q^2+2q+1
       9: 1
      10: q+1
      11: q+1
      14: q+1
      15: q+1
      21: 1
      22: q+1
      23: q+1
      26: 1
      27: q+1
      28: q+1
      31: 1
      32: q+1
      33: q+1
      36: 1
      37: q+1
      41: 1
      42: 1
      43: 1
      45: 1
      46: 1
      47: 1
      48: q+1
      49: 1
      50: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: q+1
      63: q+1
      66: 1
      67: q+1
      68: q+1
      71: 1
      72: q+1
      76: 1
      81: 1
      82: 1
      84: 1
      85: 1
      86: 1
      87: 1
      88: q+1
      89: 1
      90: 1
      96: 1
      97: 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+1
     116: 1
     117: q+1
     121: 1
     126: 1
     131: 1
     132: 1
     134: 1
     135: 1
     141: 1
     147: 1
     148: 1
     152: 1
     153: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     161: 1
     162: 1
     163: q+1
     167: 1
     172: 1
     182: 1
     198: 1
     204: 1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     224: 1
     234: 1
     271: 1
     272: 1
     279: 1
     289: 1
     342: 1

343:   0: q+1
       1: 1
       3: q+1
       4: q^2+2q+1
       5: 1
       6: 1
       7: q+1
       9: 1
      10: 1
      11: q+1
      12: q+1
      14: 1
      15: q+1
      16: q+1
      17: q+1
      21: 1
      22: 1
      23: q+1
      24: q+1
      26: 1
      27: 1
      28: q+1
      29: q+1
      31: 1
      32: 1
      33: q+1
      38: 1
      39: 1
      40: 1
      41: q+1
      42: 1
      43: 1
      45: 1
      46: q+1
      47: 1
      49: 1
      50: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      61: 1
      62: 1
      63: q+1
      64: q+1
      66: 1
      67: 1
      68: q+1
      73: 1
      77: 1
      79: 1
      80: 1
      81: q+1
      82: 1
      84: 1
      85: 1
      86: q+1
      87: 1
      89: 1
      90: 1
      93: 1
      96: 1
      97: 1
      98: 1
      99: 1
     101: 1
     102: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: 1
     109: 1
     111: 1
     112: 1
     113: q+1
     118: 1
     122: 1
     127: 1
     129: 1
     130: 1
     131: q+1
     132: 1
     134: 1
     135: 1
     141: 1
     144: 1
     147: 1
     150: 1
     151: 1
     152: 1
     153: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     164: 1
     168: 1
     173: 1
     183: 1
     185: 1
     186: 1
     203: 1
     204: 1
     212: 1
     213: 1
     215: 1
     216: 1
     217: 1
     220: 1
     225: 1
     235: 1
     269: 1
     271: 1
     280: 1
     290: 1
     343: 1

344:   0: q+1
       1: q+1
       2: q+1
       4: 1
       5: q+1
       7: 1
       8: 1
       9: q+1
      11: 1
      13: q^2+q+1
      15: 1
      21: q+1
      23: 1
      26: q+1
      28: 1
      31: q+1
      33: 1
      36: q+1
      37: 1
      44: 1
      46: 1
      47: 1
      48: 1
      49: 1
      50: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: q+1
      63: 1
      66: q+1
      68: 1
      71: q+1
      72: 1
      78: 1
      83: 1
      86: 1
      87: 1
      88: 1
      89: 1
      90: 1
     101: 1
     102: 1
     103: 1
     107: 1
     108: 1
     109: 1
     110: 1
     111: q+1
     113: 1
     116: q+1
     117: 1
     123: 1
     128: 1
     133: 1
     147: 1
     148: 1
     159: 1
     160: 1
     161: 1
     162: q+1
     163: 1
     169: 1
     174: 1
     184: 1
     198: 1
     217: 1
     218: 1
     221: 1
     226: 1
     236: 1
     272: 1
     281: 1
     291: 1
     344: 1

345:   1: q+1
       5: 1
       6: q+1
       7: q^2+2q+1
       9: 1
      10: 1
      11: q+1
      12: q+1
      14: 1
      15: q+1
      16: 1
      17: 1
      18: q+1
      19: q+1
      21: 1
      22: 1
      23: q+1
      24: 1
      25: q+1
      26: 1
      27: 1
      28: q+1
      29: 1
      34: 1
      35: 1
      38: q+1
      39: 1
      40: 1
      42: q+1
      43: 1
      45: 1
      47: q+1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      57: 1
      58: 1
      61: 1
      62: 1
      63: q+1
      64: 1
      69: 1
      74: 1
      75: 1
      77: q+1
      79: 1
      80: 1
      82: q+1
      84: 1
      85: 1
      87: q+1
      89: 1
      90: 1
      93: 1
      94: 1
      96: 1
      98: 1
      99: 1
     101: 1
     104: 1
     105: 1
     107: 1
     108: 1
     114: 1
     119: 1
     124: 1
     125: 1
     127: q+1
     129: 1
     130: 1
     132: q+1
     134: 1
     135: 1
     143: 1
     144: 1
     150: 1
     151: 1
     152: 1
     156: 1
     157: 1
     159: 1
     165: 1
     170: 1
     175: 1
     176: 1
     183: q+1
     185: 1
     186: 1
     201: 1
     203: 1
     212: 1
     213: 1
     215: 1
     222: 1
     227: 1
     237: 1
     238: 1
     267: 1
     269: 1
     282: 1
     292: 1
     345: 1

346:   5: 1
       9: 1
      10: 1
      11: q+1
      14: 1
      15: q+1
      16: 1
      17: 1
      18: 1
      19: 1
      20: q+1
      21: 1
      22: 1
      23: q+1
      24: 1
      25: 1
      30: 1
      34: 1
      35: 1
      39: 1
      40: 1
      43: 1
      45: 1
      49: 1
      50: 1
      51: 1
      52: 1
      54: 1
      57: 1
      65: 1
      70: 1
      74: 1
      75: 1
      79: 1
      80: 1
      84: 1
      85: 1
      89: 1
      90: 1
      94: 1
      98: 1
     104: 1
     107: 1
     115: 1
     120: 1
     124: 1
     125: 1
     129: 1
     130: 1
     134: 1
     135: 1
     143: 1
     150: 1
     156: 1
     166: 1
     171: 1
     175: 1
     176: 1
     185: 1
     186: 1
     201: 1
     212: 1
     223: 1
     228: 1
     237: 1
     238: 1
     267: 1
     283: 1
     293: 1
     346: 1

347:   0: 1
       1: 1
       2: 1
       3: 1
       5: 1
       6: 1
       9: 1
      10: 1
      12: 1
      14: 1
      16: 1
      17: 1
      18: 1
      19: 1
      20: 1
      21: 1
      22: 1
      24: 1
      25: 1
      26: 1
      27: 1
      29: 1
      30: 1
      31: 1
      32: 1
      34: 1
      35: 1
      36: 1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      45: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      61: 1
      62: 1
      64: 1
      65: 1
      66: 1
      67: 1
      69: 1
      70: 1
      71: 1
      73: 1
      74: 1
      75: 1
      76: 1
      77: 1
      79: 1
      80: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     111: 1
     112: 1
     114: 1
     115: 1
     116: 1
     118: 1
     119: 1
     120: 1
     121: 1
     122: 1
     124: 1
     125: 1
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: 1
     144: 1
     145: 1
     162: 1
     164: 1
     165: 1
     166: 1
     167: 1
     168: 1
     170: 1
     171: 1
     187: 1
     188: 1
     189: 1
     190: 1
     191: 1
     192: 1
     193: 1
     194: 1
     195: 1
     219: 1
     220: 1
     222: 1
     223: 1
     239: 1
     240: 1
     241: 1
     242: 1
     243: 1
     244: 1
     245: 1
     294: 1
     295: 1
     296: 1
     347: 1

348:   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^3+1
      12: q+1
      13: 1
      14: 1
      15: q^3+1
      16: 1
      17: 1
      18: 1
      19: 1
      21: 1
      22: 1
      23: q^3+1
      24: 1
      25: 1
      26: 1
      27: 1
      28: 1
      29: 1
      31: q+1
      32: q+1
      33: 1
      34: 1
      35: 1
      36: q+1
      37: 1
      38: q+1
      39: 1
      40: 1
      41: q+1
      42: q+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: q+1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: 1
      63: 1
      64: 1
      66: 1
      67: 1
      68: 1
      69: 1
      71: q+1
      72: 1
      73: q+1
      74: 1
      75: 1
      76: q+1
      77: q+1
      78: 1
      79: 1
      80: 1
      81: 1
      82: 1
      83: 1
      84: 1
      85: 1
      92: 1
      93: 1
      94: 1
      95: q+1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     111: 1
     112: 1
     113: 1
     114: 1
     116: 1
     117: 1
     118: 1
     119: 1
     121: q+1
     122: q+1
     123: 1
     124: 1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     137: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: 1
     144: 1
     145: q+1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     151: 1
     152: 1
     153: 1
     154: 1
     162: 1
     163: 1
     164: 1
     165: 1
     167: 1
     168: 1
     169: 1
     170: 1
     172: 1
     173: 1
     174: 1
     175: 1
     176: 1
     189: 1
     190: 1
     191: 1
     192: 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
     219: 1
     220: 1
     221: 1
     222: 1
     240: 1
     243: 1
     244: 1
     245: 1
     246: 1
     247: 1
     248: 1
     249: 1
     250: 1
     255: 1
     296: 1
     297: 1
     298: 1
     302: 1
     348: 1

349:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: 1
       5: q+1
       6: q+1
       7: q^2+q+1
       8: 1
      10: q+1
      11: q^2+q+1
      12: q+1
      13: 1
      16: q+1
      26: q+1
      27: q+1
      28: q^2+q+1
      29: q+1
      31: 1
      32: 1
      33: 1
      36: q+1
      37: 1
      38: q+1
      39: q+1
      41: q+1
      42: q+1
      43: q+1
      44: 1
      46: 1
      47: q+1
      48: 1
      49: q+1
      53: q+1
      55: q+1
      56: 1
      58: q+1
      59: 1
      60: 1
      66: 1
      67: 1
      68: 1
      71: 1
      72: 1
      73: 1
      76: q+1
      77: q+1
      78: 1
      79: q+1
      81: 1
      82: q+1
      83: 1
      84: q+1
      86: 1
      87: q+1
      88: 1
      89: q+1
      95: 1
      97: 1
      99: q+1
     100: 1
     102: 1
     103: 1
     105: q+1
     106: 1
     108: q+1
     109: 1
     110: 1
     116: 1
     117: 1
     118: 1
     121: 1
     122: 1
     123: 1
     126: 1
     127: q+1
     128: 1
     129: q+1
     131: 1
     132: q+1
     133: 1
     134: q+1
     140: 1
     145: 1
     146: 1
     148: 1
     149: 1
     151: q+1
     153: 1
     154: 1
     155: 1
     157: q+1
     158: 1
     160: 1
     161: 1
     167: 1
     168: 1
     169: 1
     177: 1
     178: 1
     180: 1
     182: 1
     183: q+1
     184: 1
     185: q+1
     195: 1
     196: 1
     197: 1
     199: 1
     208: 1
     209: 1
     210: 1
     211: 1
     213: q+1
     214: 1
     216: 1
     218: 1
     229: 1
     230: 1
     232: 1
     247: 1
     257: 1
     259: 1
     262: 1
     263: 1
     264: 1
     265: 1
     274: 1
     275: 1
     277: 1
     299: 1
     301: 1
     313: 1
     320: 1
     349: 1

350:   0: 1
       1: 1
       3: 1
       4: 1
       5: q+1
       6: 1
       7: 1
      10: q+1
      11: q+1
      12: q+1
      16: 1
      18: 1
      26: 1
      27: 1
      28: 1
      29: 1
      31: 1
      32: 1
      33: 1
      34: 1
      38: 1
      39: 1
      41: 1
      42: 1
      43: q+1
      46: 1
      47: 1
      49: q+1
      53: 1
      55: 1
      56: 1
      58: 1
      59: 1
      66: 1
      67: 1
      68: 1
      69: 1
      73: 1
      74: 1
      77: 1
      79: 1
      81: 1
      82: 1
      84: q+1
      86: 1
      87: 1
      89: q+1
      92: 1
      97: 1
      99: 1
     102: 1
     105: 1
     106: 1
     108: 1
     109: 1
     122: 1
     124: 1
     127: 1
     129: 1
     131: 1
     132: 1
     134: q+1
     142: 1
     151: 1
     153: 1
     157: 1
     158: 1
     160: 1
     173: 1
     175: 1
     177: 1
     178: 1
     180: q+1
     183: 1
     185: 1
     200: 1
     208: 1
     209: 1
     213: 1
     216: 1
     230: 1
     232: 1
     235: 1
     237: 1
     259: 1
     262: 1
     266: 1
     275: 1
     277: 1
     285: 1
     287: 1
     301: 1
     314: 1
     333: 1
     335: 1
     350: 1

351:   5: q+1
       9: q+1
      10: q+1
      11: q+1
      14: q+1
      15: q+1
      16: 1
      17: 1
      18: 1
      19: 1
      21: q+1
      22: q+1
      23: q+1
      24: 1
      25: 1
      34: 1
      35: 1
      39: 1
      40: 1
      43: q+1
      45: q+1
      49: q+1
      50: q+1
      51: 1
      52: 1
      54: q+1
      57: q+1
      74: 1
      75: 1
      79: 1
      80: 1
      84: q+1
      85: q+1
      89: q+1
      90: q+1
      94: 1
      98: 1
     104: q+1
     107: q+1
     124: 1
     125: 1
     129: 1
     130: 1
     134: q+1
     135: q+1
     143: 1
     150: 1
     156: q+1
     175: 1
     176: 1
     180: q+1
     181: q+1
     185: 1
     186: 1
     201: 1
     207: q+1
     212: 1
     232: 1
     233: 1
     237: 1
     238: 1
     258: 1
     267: 1
     277: 1
     278: 1
     287: 1
     288: 1
     300: 1
     315: 1
     335: 1
     336: 1
     351: 1

352:   0: 3q+1
       1: 3q+1
       2: q^2+2q+1
       3: 3q+1
       4: q^2+2q+1
       6: 3q+1
       7: q^2+2q+1
       8: q+1
      12: q^2+2q+1
      13: q+1
      31: 3q+1
      32: 3q+1
      33: q^2+2q+1
      36: 2q+1
      37: q+1
      38: 2q+1
      41: 3q+1
      42: 3q+1
      44: q+1
      46: 2q+1
      47: 2q+1
      48: q+1
      56: 3q+1
      59: 2q+1
      60: q+1
      71: 2q+1
      72: q+1
      73: 2q+1
      76: 2q+1
      77: 2q+1
      78: q+1
      81: 2q+1
      82: 2q+1
      83: q+1
      86: 2q+1
      87: 2q+1
      88: q+1
      95: q+1
     100: q+1
     103: q+1
     106: 2q+1
     109: 2q+1
     110: q+1
     121: 2q+1
     122: 2q+1
     123: q+1
     126: 1
     127: q+1
     128: 1
     131: 2q+1
     132: 2q+1
     133: q+1
     145: q+1
     146: q+1
     149: 1
     154: 1
     155: q+1
     158: 2q+1
     161: q+1
     172: 1
     173: q+1
     174: 1
     177: q+1
     178: q+1
     182: 1
     183: q+1
     184: 1
     197: 1
     202: 1
     205: 1
     209: q+1
     210: q+1
     211: 1
     214: 1
     229: 1
     230: 1
     234: 1
     235: q+1
     236: 1
     255: 1
     257: 1
     263: 1
     268: 1
     270: 1
     274: 1
     275: 1
     284: 1
     285: 1
     299: 1
     316: 1
     329: 1
     332: 1
     333: 1
     352: 1

353:   1: 1
       5: 1
       6: 1
       7: 1
       9: 1
      10: 1
      11: 1
      12: 1
      14: 1
      15: 1
      16: 1
      17: 1
      21: 1
      22: 1
      23: 1
      24: 1
      26: 1
      27: 1
      28: 1
      29: 1
      38: 1
      39: 1
      40: 1
      42: 1
      43: 1
      45: 1
      47: 1
      49: 1
      50: 1
      52: 1
      53: 1
      54: 1
      55: 1
      57: 1
      58: 1
      61: 1
      62: 1
      63: 1
      64: 1
      77: 1
      79: 1
      80: 1
      82: 1
      84: 1
      85: 1
      87: 1
      89: 1
      90: 1
      93: 1
      96: 1
      98: 1
      99: 1
     101: 1
     104: 1
     105: 1
     107: 1
     108: 1
     127: 1
     129: 1
     130: 1
     132: 1
     134: 1
     135: 1
     144: 1
     150: 1
     151: 1
     152: 1
     156: 1
     157: 1
     159: 1
     178: 1
     180: 1
     181: 1
     183: 1
     185: 1
     186: 1
     203: 1
     207: 1
     208: 1
     212: 1
     213: 1
     215: 1
     230: 1
     232: 1
     233: 1
     258: 1
     259: 1
     261: 1
     269: 1
     275: 1
     277: 1
     278: 1
     300: 1
     301: 1
     317: 1
     353: 1

354:   0: 1
       1: 1
       2: 1
       3: q+1
       4: 1
       5: 1
       6: q+1
       7: 1
       8: 1
       9: q^3+1
      10: q+1
      11: 1
      12: q+1
      14: 1
      15: q^3+1
      16: q+1
      17: 1
      18: q+1
      19: 1
      20: 1
      21: 1
      22: 1
      23: 1
      24: 1
      25: 1
      26: 1
      27: q+1
      28: 1
      29: q+1
      30: 1
      31: 1
      32: q+1
      33: 1
      34: q+1
      35: 1
      36: 1
      37: 1
      38: q+1
      39: q+1
      40: 1
      41: 1
      42: 1
      43: 1
      45: 1
      46: 1
      47: 1
      48: 1
      49: 1
      50: q^3+1
      51: 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
      66: 1
      67: q+1
      68: 1
      69: q+1
      70: 1
      71: 1
      72: 1
      73: q+1
      74: q+1
      75: 1
      76: 1
      77: 1
      79: 1
      80: 1
      81: 1
      82: 1
      84: 1
      85: 1
      91: 1
      92: q+1
      93: 1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     111: 1
     112: 1
     113: 1
     114: 1
     115: 1
     116: 1
     117: 1
     118: q+1
     119: q+1
     120: 1
     121: 1
     122: 1
     124: 1
     125: 1
     126: 1
     127: 1
     129: 1
     130: 1
     136: 1
     137: 1
     138: 1
     139: q+1
     140: 1
     141: 1
     142: 1
     143: 1
     144: 1
     145: 1
     147: 1
     148: 1
     149: 1
     150: 1
     151: 1
     152: 1
     153: 1
     162: 1
     163: 1
     164: 1
     165: 1
     166: 1
     167: 1
     168: 1
     170: 1
     171: 1
     172: 1
     173: 1
     175: 1
     176: 1
     187: 1
     188: 1
     189: 1
     190: 1
     191: 1
     192: 1
     193: 1
     194: 1
     195: 1
     198: 1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     224: 1
     225: 1
     227: 1
     228: 1
     239: 1
     240: 1
     241: 1
     245: 1
     248: 1
     249: 1
     250: 1
     251: 1
     252: 1
     253: 1
     294: 1
     302: 1
     303: 1
     307: 1
     354: 1

355:   0: 1
       1: 1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
       9: 1
      10: 1
      11: 1
      12: q+1
      14: 1
      15: 1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      20: q+1
      21: 1
      22: 1
      23: 1
      24: q+1
      25: q+1
      26: 1
      27: 1
      28: 1
      29: q+1
      30: q+1
      31: 1
      32: 1
      33: 1
      34: q+1
      35: q+1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      45: 1
      46: 1
      47: 1
      49: 1
      50: 1
      51: q+1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      61: 1
      62: 1
      63: 1
      64: q+1
      65: q+1
      66: 1
      67: 1
      68: 1
      69: q+1
      70: q+1
      73: 1
      74: 1
      75: 1
      77: 1
      79: 1
      80: 1
      81: 1
      82: 1
      84: 1
      85: 1
      91: q+1
      92: 1
      93: 1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     101: 1
     102: 1
     104: 1
     105: 1
     106: 1
     111: 1
     112: 1
     113: 1
     114: q+1
     115: q+1
     118: 1
     119: 1
     120: 1
     122: 1
     124: 1
     125: 1
     127: 1
     129: 1
     130: 1
     136: q+1
     137: 1
     138: 1
     139: 1
     141: 1
     142: 1
     143: 1
     144: 1
     147: 1
     150: 1
     151: 1
     152: 1
     153: 1
     164: 1
     165: 1
     166: 1
     168: 1
     170: 1
     171: 1
     173: 1
     175: 1
     176: 1
     187: 1
     188: 1
     189: 1
     192: 1
     193: 1
     194: 1
     200: 1
     201: 1
     203: 1
     204: 1
     220: 1
     222: 1
     223: 1
     225: 1
     227: 1
     228: 1
     239: 1
     241: 1
     242: 1
     243: 1
     250: 1
     251: 1
     252: 1
     280: 1
     282: 1
     283: 1
     295: 1
     303: 1
     304: 1
     305: 1
     355: 1

356:   0: q+1
       1: q+1
       2: q+1
       3: q^2+2q+1
       4: q+1
       5: 1
       6: q^2+2q+1
       7: q+1
       8: q+1
       9: 1
      10: q+1
      11: 1
      12: q^2+2q+1
      14: q+1
      15: 1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      21: 1
      22: q+1
      23: 1
      24: q+1
      25: q+1
      26: 1
      27: q+1
      28: 1
      29: q+1
      31: q+1
      32: q^2+2q+1
      33: q+1
      34: q+1
      35: q+1
      36: q+1
      37: q+1
      38: q^2+2q+1
      39: q+1
      40: q+1
      41: q+1
      42: q+1
      43: 1
      45: 1
      46: q+1
      47: q+1
      48: q+1
      49: 1
      50: 1
      51: q+1
      52: q+1
      53: q+1
      54: 1
      55: 1
      56: q+1
      57: 1
      58: 1
      59: q+1
      60: q+1
      61: 1
      62: q+1
      63: 1
      64: q+1
      66: 1
      67: q+1
      68: 1
      69: q+1
      71: q+1
      72: q+1
      73: q^2+2q+1
      74: q+1
      75: q+1
      76: q+1
      77: q+1
      79: 1
      80: 1
      81: q+1
      82: q+1
      84: 1
      85: 1
      92: q+1
      93: q+1
      94: q+1
      95: q+1
      96: 1
      97: 1
      98: 1
      99: 1
     101: 1
     102: 1
     103: q+1
     104: 1
     105: 1
     106: q+1
     111: 1
     112: q+1
     113: 1
     114: q+1
     116: 1
     117: 1
     118: q+1
     119: q+1
     121: q+1
     122: q+1
     124: 1
     125: 1
     126: q+1
     127: q+1
     129: 1
     130: 1
     137: q+1
     139: q+1
     140: 1
     141: 1
     142: 1
     143: 1
     144: 1
     145: q+1
     147: 1
     148: 1
     149: q+1
     150: 1
     151: 1
     152: 1
     153: 1
     162: 1
     163: 1
     164: q+1
     165: q+1
     167: 1
     168: 1
     170: 1
     172: q+1
     173: q+1
     175: 1
     176: 1
     189: q+1
     190: 1
     191: 1
     192: 1
     194: 1
     195: 1
     198: 1
     199: 1
     200: 1
     201: 1
     202: q+1
     203: 1
     204: 1
     219: 1
     220: 1
     222: 1
     224: 1
     225: 1
     227: 1
     240: 1
     243: 1
     244: 1
     245: 1
     248: 1
     249: 1
     250: 1
     252: 1
     253: 1
     279: 1
     280: 1
     282: 1
     296: 1
     302: 1
     305: 1
     306: 1
     307: 1
     356: 1

357:   0: 1
       1: 1
       2: 1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
       8: 1
      10: 1
      11: 1
      12: 1
      13: 1
      16: 1
      18: 1
      26: 1
      27: 1
      28: 1
      29: 1
      31: 1
      32: 1
      33: 1
      34: 1
      36: 1
      37: 1
      38: 1
      39: 1
      41: 1
      42: 1
      43: 1
      44: 1
      46: 1
      47: 1
      48: 1
      49: 1
      53: 1
      55: 1
      56: 1
      58: 1
      59: 1
      60: 1
      66: 1
      67: 1
      68: 1
      69: 1
      71: 1
      72: 1
      73: 1
      74: 1
      76: 1
      77: 1
      78: 1
      79: 1
      81: 1
      82: 1
      83: 1
      84: 1
      92: 1
      95: 1
      97: 1
      99: 1
     100: 1
     102: 1
     103: 1
     105: 1
     106: 1
     116: 1
     117: 1
     118: 1
     119: 1
     121: 1
     122: 1
     123: 1
     124: 1
     126: 1
     127: 1
     128: 1
     129: 1
     139: 1
     140: 1
     142: 1
     145: 1
     146: 1
     148: 1
     149: 1
     151: 1
     153: 1
     154: 1
     167: 1
     168: 1
     169: 1
     170: 1
     172: 1
     173: 1
     174: 1
     175: 1
     191: 1
     194: 1
     195: 1
     196: 1
     197: 1
     199: 1
     200: 1
     202: 1
     205: 1
     224: 1
     225: 1
     226: 1
     227: 1
     245: 1
     247: 1
     248: 1
     252: 1
     253: 1
     254: 1
     255: 1
     297: 1
     307: 1
     309: 1
     357: 1

358:   0: q+1
       1: 1
       2: q+1
       3: q+1
       4: q+1
       5: 1
       6: 1
       7: 1
       8: q+1
       9: 1
      10: 1
      11: 1
      12: 1
      13: q+1
      14: 1
      15: 1
      16: 1
      17: 1
      21: 1
      22: 1
      23: 1
      24: 1
      26: 1
      27: 1
      28: 1
      29: 1
      31: 1
      32: 1
      33: 1
      36: q+1
      37: q+1
      38: 1
      39: 1
      40: 1
      41: q+1
      42: 1
      43: 1
      44: q+1
      45: 1
      46: q+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: q+1
      61: 1
      62: 1
      63: 1
      64: 1
      66: 1
      67: 1
      68: 1
      71: 1
      72: 1
      73: 1
      76: q+1
      77: 1
      78: q+1
      79: 1
      80: 1
      81: q+1
      82: 1
      83: q+1
      84: 1
      85: 1
      93: 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
     111: 1
     112: 1
     113: 1
     116: 1
     117: 1
     118: 1
     121: 1
     122: 1
     123: 1
     126: q+1
     127: 1
     128: q+1
     129: 1
     130: 1
     140: 1
     141: 1
     144: 1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     151: 1
     152: 1
     153: 1
     154: q+1
     162: 1
     163: 1
     164: 1
     167: 1
     168: 1
     169: 1
     172: 1
     173: 1
     174: 1
     190: 1
     195: 1
     196: 1
     197: 1
     198: 1
     199: 1
     202: 1
     203: 1
     204: 1
     205: 1
     219: 1
     220: 1
     221: 1
     224: 1
     225: 1
     226: 1
     244: 1
     246: 1
     247: 1
     249: 1
     253: 1
     254: 1
     255: 1
     279: 1
     280: 1
     281: 1
     298: 1
     306: 1
     308: 1
     309: 1
     358: 1

359:   0: q+1
       1: q^2+1
       2: q+1
       3: q+1
       4: q+1
       6: q^2+1
       7: q^2+1
       8: q+1
      12: q^2+1
      13: q+1
      31: 1
      32: 1
      33: 1
      36: q+1
      37: q+1
      38: q^2+1
      41: q+1
      42: q^2+1
      44: q+1
      46: q+1
      47: q^2+1
      48: q+1
      56: 1
      59: 1
      60: q+1
      71: 1
      72: 1
      73: 1
      76: q+1
      77: q^2+1
      78: q+1
      81: q+1
      82: q^2+1
      83: q+1
      86: 1
      87: 1
      88: 1
      95: 1
     100: q+1
     103: 1
     106: 1
     109: 1
     110: 1
     121: 1
     122: 1
     123: 1
     126: q+1
     127: q^2+1
     128: q+1
     131: 1
     132: 1
     133: 1
     145: 1
     146: 1
     149: 1
     154: q+1
     155: 1
     158: 1
     161: 1
     172: 1
     173: 1
     174: 1
     177: 1
     178: 1
     179: 1
     182: 1
     183: 1
     184: 1
     197: 1
     202: 1
     205: 1
     206: 1
     209: 1
     210: 1
     211: 1
     214: 1
     229: 1
     230: 1
     231: 1
     255: 1
     256: 1
     257: 1
     260: 1
     263: 1
     274: 1
     275: 1
     276: 1
     299: 1
     310: 1
     311: 1
     359: 1

360:   0: q+1
       1: q+1
       2: q^2+2q+1
       3: q+1
       4: q+1
       6: q+1
       7: q+1
       8: q^2+2q+1
      13: q^2+2q+1
      31: q+1
      32: q+1
      33: q+1
      36: q+1
      37: q+1
      41: q+1
      42: q+1
      44: q^2+2q+1
      46: q+1
      47: q+1
      48: q^2+2q+1
      56: q+1
      59: q+1
      60: q+1
      71: q+1
      72: q+1
      76: q+1
      78: q+1
      81: q+1
      82: q+1
      83: q^2+2q+1
      86: 1
      87: 1
      88: q+1
     100: q+1
     103: q+1
     106: q+1
     109: 1
     110: 1
     121: q+1
     123: q+1
     126: q+1
     128: q+1
     131: 1
     132: 1
     133: q+1
     146: q+1
     154: q+1
     155: 1
     158: 1
     161: 1
     172: q+1
     174: q+1
     177: 1
     178: 1
     179: q+1
     182: 1
     184: 1
     205: q+1
     206: 1
     209: 1
     210: 1
     214: 1
     229: 1
     231: 1
     234: 1
     236: 1
     256: 1
     260: 1
     270: 1
     274: 1
     276: 1
     284: 1
     286: 1
     310: 1
     318: 1
     332: 1
     334: 1
     360: 1

361:   0: 3q+1
       1: q^2+2q+1
       2: 3q+1
       3: q^2+2q+1
       4: 3q+1
       5: q^2+2q+1
       6: q+1
       7: q^2+2q+1
       8: 3q+1
      10: q+1
      11: q^2+2q+1
      12: q+1
      13: q^2+2q+1
      16: q+1
      26: q^2+2q+1
      27: q+1
      28: q^2+2q+1
      29: q+1
      31: 2q+1
      32: q+1
      33: 2q+1
      36: 3q+1
      37: 3q+1
      38: q+1
      39: q+1
      41: 2q+1
      42: q+1
      43: q+1
      44: 2q+1
      46: 3q+1
      47: q^2+2q+1
      48: 3q+1
      49: q^2+2q+1
      53: q+1
      55: q+1
      56: q+1
      58: q^2+2q+1
      59: 2q+1
      60: 3q+1
      66: 2q+1
      67: q+1
      68: 2q+1
      71: 2q+1
      72: 2q+1
      73: q+1
      76: 2q+1
      77: q+1
      78: 2q+1
      79: q+1
      81: 2q+1
      82: q+1
      83: 2q+1
      84: q+1
      86: q+1
      87: q+1
      88: q+1
      89: q+1
      95: q+1
      97: q+1
      99: q+1
     100: q+1
     102: 2q+1
     103: 2q+1
     105: q+1
     106: q+1
     108: q+1
     109: q+1
     110: q+1
     116: 2q+1
     117: 2q+1
     118: q+1
     121: 1
     122: 1
     123: q+1
     126: 2q+1
     127: q+1
     128: 2q+1
     129: q+1
     131: 1
     132: 1
     133: 1
     134: 1
     140: q+1
     145: 1
     146: 1
     148: 2q+1
     149: q+1
     151: q+1
     153: q+1
     154: q+1
     155: 1
     157: 1
     158: 1
     160: q+1
     161: q+1
     167: 1
     168: 1
     169: q+1
     172: 1
     173: 1
     174: q+1
     177: 1
     178: 1
     179: 1
     180: 1
     182: 1
     183: 1
     184: 1
     185: 1
     195: 1
     196: 1
     197: 1
     199: q+1
     202: 1
     205: 1
     206: 1
     208: 1
     209: 1
     210: 1
     211: 1
     213: 1
     214: 1
     216: 1
     218: q+1
     224: 1
     225: 1
     226: q+1
     229: 1
     230: 1
     231: 1
     232: 1
     247: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     259: 1
     260: 1
     262: 1
     263: 1
     264: 1
     265: 1
     309: 1
     311: 1
     312: 1
     313: 1
     320: 1
     361: 1

362:   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
      21: q+1
      22: q+1
      23: q+1
      26: q+1
      27: q+1
      28: q+1
      31: q+1
      32: q+1
      33: q+1
      36: 1
      37: 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
      54: q+1
      55: q+1
      56: q+1
      57: q+1
      58: q+1
      59: q+1
      60: 1
      61: q+1
      62: q+1
      63: q+1
      66: q+1
      67: q+1
      68: q+1
      71: 1
      72: 1
      76: 1
      78: 1
      81: q+1
      82: q+1
      83: q+1
      84: q+1
      85: q+1
      86: 1
      87: 1
      88: 1
      89: 1
      90: 1
      96: q+1
      97: q+1
     100: 1
     101: q+1
     102: q+1
     103: 1
     104: q+1
     105: q+1
     106: q+1
     107: 1
     108: 1
     109: 1
     110: 1
     111: q+1
     112: q+1
     113: q+1
     116: 1
     117: 1
     121: 1
     123: 1
     126: 1
     128: 1
     131: 1
     132: 1
     133: 1
     134: 1
     135: 1
     141: q+1
     146: 1
     147: q+1
     148: 1
     152: q+1
     153: q+1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     161: 1
     162: 1
     163: 1
     167: 1
     169: 1
     172: 1
     174: 1
     177: 1
     178: 1
     179: 1
     180: 1
     181: 1
     196: 1
     198: 1
     204: q+1
     205: 1
     206: 1
     207: 1
     208: 1
     209: 1
     210: 1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     221: 1
     224: 1
     226: 1
     246: 1
     254: 1
     256: 1
     261: 1
     262: 1
     264: 1
     271: 1
     272: 1
     279: 1
     281: 1
     308: 1
     312: 1
     319: 1
     321: 1
     362: 1

363:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       5: q^2+q+1
       6: q+1
       7: q+1
       8: q+1
      10: 1
      11: q^2+q+1
      12: q+1
      16: 1
      18: 1
      26: q+1
      27: 1
      28: q+1
      29: 1
      31: q+1
      32: q+1
      33: q+1
      34: 1
      36: q+1
      37: q+1
      38: q+1
      39: 1
      41: 1
      42: 1
      43: 1
      46: q+1
      47: q+1
      48: q+1
      49: q^2+q+1
      53: 1
      55: 1
      56: 1
      58: q+1
      59: q+1
      60: q+1
      66: q+1
      67: 1
      68: q+1
      69: 1
      71: q+1
      72: q+1
      73: q+1
      74: 1
      76: 1
      77: 1
      79: 1
      81: 1
      82: 1
      84: 1
      86: q+1
      87: q+1
      88: q+1
      89: q^2+q+1
      92: 1
      95: 1
      97: 1
      99: 1
     102: q+1
     103: q+1
     105: 1
     106: 1
     108: q+1
     109: q+1
     110: q+1
     116: q+1
     117: q+1
     118: 1
     119: 1
     121: 1
     122: 1
     124: 1
     126: 1
     127: 1
     129: 1
     131: 1
     132: 1
     134: 1
     139: 1
     140: 1
     142: 1
     145: 1
     148: q+1
     149: 1
     151: 1
     153: 1
     157: 1
     158: 1
     160: q+1
     161: q+1
     172: 1
     173: 1
     175: 1
     177: 1
     178: 1
     180: 1
     182: 1
     183: 1
     185: 1
     191: 1
     199: 1
     200: 1
     202: 1
     208: 1
     209: 1
     211: 1
     213: 1
     216: 1
     218: q+1
     229: 1
     230: 1
     232: 1
     234: 1
     235: 1
     237: 1
     248: 1
     257: 1
     259: 1
     262: 1
     265: 1
     266: 1
     268: 1
     284: 1
     285: 1
     287: 1
     313: 1
     314: 1
     316: 1
     322: 1
     363: 1

364:   0: 1
       1: q+1
       2: 1
       3: q+1
       4: 1
       5: q+1
       6: 1
       7: q+1
       8: 1
       9: q+1
      10: 1
      11: q+1
      12: 1
      14: 1
      15: q+1
      16: 1
      17: 1
      21: q+1
      22: 1
      23: q+1
      24: 1
      26: q+1
      27: 1
      28: q+1
      29: 1
      31: 1
      32: 1
      33: 1
      36: 1
      37: 1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      45: 1
      46: 1
      47: q+1
      48: 1
      49: q+1
      50: q+1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: q+1
      58: q+1
      59: 1
      60: 1
      61: q+1
      62: 1
      63: q+1
      64: 1
      66: 1
      67: 1
      68: 1
      71: 1
      72: 1
      73: 1
      76: 1
      77: 1
      79: 1
      80: 1
      81: 1
      82: 1
      84: 1
      85: 1
      86: 1
      87: q+1
      88: 1
      89: q+1
      90: q+1
      93: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     101: q+1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     107: q+1
     108: q+1
     109: 1
     110: 1
     111: 1
     112: 1
     113: 1
     116: 1
     117: 1
     118: 1
     126: 1
     127: 1
     129: 1
     130: 1
     131: 1
     132: 1
     134: 1
     135: 1
     140: 1
     141: 1
     144: 1
     147: 1
     148: 1
     149: 1
     150: 1
     151: 1
     152: 1
     153: 1
     156: 1
     157: 1
     158: 1
     159: q+1
     160: 1
     161: 1
     162: 1
     163: 1
     164: 1
     177: 1
     178: 1
     180: 1
     181: 1
     182: 1
     183: 1
     185: 1
     186: 1
     190: 1
     198: 1
     199: 1
     203: 1
     204: 1
     207: 1
     208: 1
     209: 1
     211: 1
     212: 1
     213: 1
     215: 1
     216: 1
     217: 1
     218: 1
     229: 1
     230: 1
     232: 1
     233: 1
     249: 1
     257: 1
     258: 1
     259: 1
     261: 1
     262: 1
     265: 1
     269: 1
     271: 1
     272: 1
     313: 1
     317: 1
     319: 1
     323: 1
     364: 1

365:   0: q+1
       1: q+1
       3: 1
       4: q+1
       5: q^2+2q+1
       6: 1
       7: q+1
       9: q^2+2q+1
      10: q+1
      11: q^2+2q+1
      12: q+1
      14: q+1
      15: q^2+2q+1
      16: 1
      17: 1
      18: 1
      19: 1
      21: q^2+2q+1
      22: q+1
      23: q^2+2q+1
      24: 1
      25: 1
      26: q+1
      27: 1
      28: q+1
      29: 1
      31: q+1
      32: 1
      33: q+1
      34: 1
      35: 1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: q+1
      45: q+1
      46: q+1
      47: q+1
      49: q^2+2q+1
      50: q^2+2q+1
      51: 1
      52: 1
      53: 1
      54: q+1
      55: 1
      56: 1
      57: q^2+2q+1
      58: q+1
      59: q+1
      61: q+1
      62: 1
      63: q+1
      64: 1
      66: q+1
      67: 1
      68: q+1
      69: 1
      73: 1
      74: 1
      75: 1
      77: 1
      79: 1
      80: 1
      81: 1
      82: 1
      84: q+1
      85: q+1
      86: q+1
      87: q+1
      89: q^2+2q+1
      90: q^2+2q+1
      92: 1
      93: 1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     101: q+1
     102: q+1
     104: q+1
     105: 1
     106: 1
     107: q^2+2q+1
     108: q+1
     109: q+1
     111: q+1
     112: 1
     113: q+1
     114: 1
     122: 1
     124: 1
     125: 1
     127: 1
     129: 1
     130: 1
     131: 1
     132: 1
     134: q+1
     135: q+1
     137: 1
     141: 1
     142: 1
     143: 1
     144: 1
     147: q+1
     150: 1
     151: 1
     152: 1
     153: 1
     156: q+1
     157: 1
     158: 1
     159: q+1
     160: q+1
     173: 1
     175: 1
     176: 1
     177: 1
     178: 1
     180: q+1
     181: q+1
     183: 1
     185: 1
     186: 1
     192: 1
     200: 1
     201: 1
     203: 1
     204: 1
     207: q+1
     208: 1
     209: 1
     212: 1
     213: 1
     215: 1
     216: 1
     217: q+1
     230: 1
     232: 1
     233: 1
     235: 1
     237: 1
     238: 1
     250: 1
     258: 1
     259: 1
     261: 1
     262: 1
     266: 1
     267: 1
     269: 1
     271: 1
     285: 1
     287: 1
     288: 1
     314: 1
     315: 1
     317: 1
     319: 1
     324: 1
     365: 1

366:   1: q+1
       5: q+1
       6: 1
       7: q+1
       9: q^2+2q+1
      10: 1
      11: q+1
      12: 1
      14: q+1
      15: q^2+2q+1
      16: 1
      17: q+1
      18: q+1
      19: 1
      20: 1
      21: q+1
      22: 1
      23: q+1
      24: 1
      25: 1
      26: q+1
      27: 1
      28: q+1
      29: 1
      30: 1
      34: 1
      35: 1
      38: 1
      39: 1
      40: q+1
      42: 1
      43: 1
      45: q+1
      47: q+1
      49: q+1
      50: q^2+2q+1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      57: q+1
      58: q+1
      61: q+1
      62: 1
      63: q+1
      64: 1
      65: 1
      69: 1
      70: 1
      74: 1
      75: 1
      77: 1
      79: 1
      80: q+1
      82: 1
      84: 1
      85: q+1
      87: q+1
      89: q+1
      90: q^2+2q+1
      91: 1
      93: 1
      94: 1
      96: 1
      98: 1
      99: 1
     101: q+1
     104: 1
     105: 1
     107: q+1
     108: q+1
     119: 1
     120: 1
     124: 1
     125: 1
     127: 1
     129: 1
     130: q+1
     132: 1
     134: 1
     135: q+1
     138: 1
     143: 1
     144: 1
     150: 1
     151: 1
     152: 1
     156: 1
     157: 1
     159: q+1
     170: 1
     171: 1
     175: 1
     176: 1
     178: 1
     180: 1
     181: q+1
     183: 1
     185: 1
     186: q+1
     193: 1
     201: 1
     203: 1
     207: 1
     208: 1
     212: 1
     213: 1
     215: 1
     227: 1
     228: 1
     230: 1
     232: 1
     233: q+1
     237: 1
     238: 1
     251: 1
     258: 1
     259: 1
     261: 1
     267: 1
     269: 1
     287: 1
     288: 1
     292: 1
     293: 1
     315: 1
     317: 1
     325: 1
     340: 1
     341: 1
     366: 1

367:   0: q+1
       1: q+1
       3: 1
       4: q+1
       5: q+1
       6: 1
       7: q+1
      10: 1
      11: q+1
      12: q+1
      16: q+1
      18: q+1
      26: q+1
      27: 1
      28: q+1
      29: q+1
      31: q+1
      32: 1
      33: q+1
      34: q+1
      38: 1
      39: 1
      41: 1
      42: 1
      43: 1
      46: q+1
      47: q+1
      49: q+1
      53: 1
      55: 1
      56: 1
      58: q+1
      59: q+1
      66: q+1
      67: 1
      68: q+1
      69: q+1
      73: 1
      74: 1
      77: 1
      79: 1
      81: 1
      82: 1
      84: 1
      86: q+1
      87: q+1
      89: q+1
      92: 1
      97: 1
      99: 1
     102: q+1
     105: 1
     106: 1
     108: q+1
     109: q+1
     118: 1
     119: 1
     122: 1
     124: 1
     127: 1
     129: 1
     131: 1
     132: 1
     134: 1
     139: 1
     142: 1
     151: 1
     153: 1
     157: 1
     158: 1
     160: q+1
     168: 1
     170: 1
     173: 1
     175: 1
     177: 1
     178: 1
     180: 1
     183: 1
     185: 1
     194: 1
     200: 1
     208: 1
     209: 1
     213: 1
     216: 1
     225: 1
     227: 1
     230: 1
     232: 1
     235: 1
     237: 1
     252: 1
     259: 1
     262: 1
     266: 1
     285: 1
     287: 1
     290: 1
     292: 1
     314: 1
     326: 1
     338: 1
     340: 1
     367: 1

368:   0: q^2+2q+1
       1: q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: q+1
       6: q+1
       7: q+1
       8: q^2+2q+1
      10: q+1
      11: q+1
      12: q+1
      16: q+1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      31: q+1
      32: q+1
      33: q+1
      36: q^2+2q+1
      37: q^2+2q+1
      38: q+1
      39: q+1
      41: q+1
      42: 1
      43: 1
      46: q^2+2q+1
      47: q+1
      48: q^2+2q+1
      49: q+1
      53: q+1
      55: 1
      56: 1
      58: q+1
      59: q+1
      60: q^2+2q+1
      66: q+1
      67: q+1
      68: q+1
      71: q+1
      72: q+1
      73: q+1
      76: q+1
      77: 1
      79: 1
      81: q+1
      82: 1
      84: 1
      86: q^2+2q+1
      87: q+1
      88: q^2+2q+1
      89: q+1
      95: 1
      97: 1
      99: 1
     102: q+1
     103: q+1
     105: 1
     106: 1
     108: q+1
     109: q+1
     110: q^2+2q+1
     116: q+1
     117: q+1
     118: q+1
     121: 1
     122: 1
     126: q+1
     127: 1
     129: 1
     131: q+1
     132: 1
     134: 1
     140: 1
     145: 1
     148: q+1
     149: 1
     151: 1
     153: 1
     157: 1
     158: 1
     160: q+1
     161: q+1
     167: 1
     168: 1
     172: 1
     173: 1
     177: q+1
     178: 1
     180: 1
     182: q+1
     183: 1
     185: 1
     195: 1
     199: 1
     202: 1
     208: 1
     209: 1
     211: 1
     213: 1
     216: 1
     218: q+1
     224: 1
     225: 1
     229: q+1
     230: 1
     232: 1
     234: 1
     235: 1
     253: 1
     257: 1
     259: 1
     262: 1
     265: 1
     268: 1
     284: 1
     285: 1
     289: 1
     290: 1
     313: 1
     316: 1
     327: 1
     337: 1
     338: 1
     368: 1

369:   0: 2q+1
       1: 2q+1
       2: 2q^2+3q+1
       3: q^2+q+1
       4: 2q+1
       5: 2q+1
       6: q^2+q+1
       7: 2q+1
       8: 2q^2+3q+1
      10: q^2+q+1
      11: 2q+1
      13: q^3+2q^2+2q+1
      26: 2q+1
      27: q^2+q+1
      28: 2q+1
      31: 2q+1
      32: q^2+q+1
      33: 2q+1
      36: 2q+1
      37: 2q+1
      41: q+1
      42: q+1
      43: q+1
      44: q^2+2q+1
      46: 2q+1
      47: 2q+1
      48: 2q^2+3q+1
      49: 2q+1
      55: q+1
      56: q+1
      58: 2q+1
      59: 2q+1
      60: 2q+1
      66: 2q+1
      67: q^2+q+1
      68: 2q+1
      71: 2q+1
      72: 2q+1
      76: q+1
      78: q+1
      81: q+1
      82: q+1
      83: q^2+2q+1
      84: q+1
      86: q+1
      87: q+1
      88: q^2+2q+1
      89: q+1
      97: q+1
     100: 1
     102: 2q+1
     103: 2q+1
     105: q+1
     106: q+1
     108: q+1
     109: q+1
     110: q+1
     116: 2q+1
     117: 2q+1
     121: q+1
     123: q+1
     126: q+1
     128: q+1
     131: 1
     132: 1
     133: q+1
     134: 1
     146: 1
     148: 2q+1
     153: q+1
     154: 1
     155: 1
     157: 1
     158: 1
     160: q+1
     161: q+1
     167: q+1
     169: q+1
     172: q+1
     174: q+1
     177: 1
     178: 1
     179: q+1
     180: 1
     182: 1
     184: 1
     196: 1
     205: 1
     206: 1
     208: 1
     209: 1
     210: 1
     214: 1
     216: 1
     218: q+1
     224: q+1
     226: q+1
     229: 1
     231: 1
     234: 1
     236: 1
     254: 1
     256: 1
     260: 1
     262: 1
     264: 1
     270: 1
     284: 1
     286: 1
     289: 1
     291: 1
     312: 1
     318: 1
     328: 1
     337: 1
     339: 1
     369: 1

370:   0: 2q+1
       1: 2q+1
       2: 2q+1
       3: q^2+q+1
       4: 2q+1
       6: q^2+q+1
       7: 2q+1
       8: 2q+1
      12: q^2+q+1
      13: q^2+q+1
      31: 2q+1
      32: q^2+q+1
      33: 2q+1
      36: 2q+1
      37: 2q+1
      38: q^2+q+1
      41: q+1
      42: q+1
      44: q+1
      46: 2q+1
      47: 2q+1
      48: 2q+1
      56: q+1
      59: 2q+1
      60: 2q+1
      71: 2q+1
      72: 2q+1
      73: q^2+q+1
      76: q+1
      77: q+1
      78: q+1
      81: q+1
      82: q+1
      83: q+1
      86: q+1
      87: q+1
      88: q+1
      95: q+1
     100: 1
     103: 2q+1
     106: q+1
     109: q+1
     110: q+1
     121: q+1
     122: q+1
     123: q+1
     126: q+1
     127: q+1
     128: q+1
     131: 1
     132: 1
     133: 1
     145: q+1
     146: 1
     149: q+1
     154: 1
     155: 1
     158: 1
     161: q+1
     172: q+1
     173: q+1
     174: q+1
     177: 1
     178: 1
     179: 1
     182: 1
     183: 1
     184: 1
     197: 1
     202: q+1
     205: 1
     206: 1
     209: 1
     210: 1
     211: 1
     214: 1
     229: 1
     230: 1
     231: 1
     234: 1
     235: 1
     236: 1
     255: 1
     256: 1
     257: 1
     260: 1
     263: 1
     268: 1
     270: 1
     284: 1
     285: 1
     286: 1
     311: 1
     316: 1
     318: 1
     329: 1
     370: 1

371:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       5: 1
       6: q+1
       7: q+1
       8: q+1
      10: 1
      11: q^3+q+1
      12: q+1
      13: q+1
      16: 1
      18: 1
      26: 1
      27: 1
      28: q+1
      29: 1
      31: q+1
      32: q+1
      33: q+1
      34: 1
      36: q+1
      37: q+1
      38: q+1
      39: 1
      41: q+1
      42: q+1
      43: 1
      44: q+1
      46: 1
      47: 1
      48: 1
      49: 1
      53: 1
      55: 1
      56: q+1
      58: 1
      59: 1
      60: 1
      66: 1
      67: 1
      68: q+1
      69: 1
      71: q+1
      72: q+1
      73: q+1
      74: 1
      76: q+1
      77: q+1
      78: q+1
      79: 1
      81: 1
      82: 1
      83: 1
      84: 1
      86: 1
      87: 1
      88: 1
      89: 1
      92: 1
      95: q+1
      97: 1
      99: 1
     100: 1
     102: 1
     103: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: 1
     116: 1
     117: q+1
     118: 1
     119: 1
     121: q+1
     122: q+1
     123: q+1
     124: 1
     126: 1
     127: 1
     128: 1
     129: 1
     131: 1
     132: 1
     133: 1
     134: 1
     139: 1
     140: 1
     142: 1
     145: q+1
     146: 1
     148: 1
     149: 1
     151: 1
     153: 1
     154: 1
     155: 1
     157: 1
     158: 1
     160: 1
     161: 1
     167: 1
     168: 1
     169: q+1
     170: 1
     172: 1
     173: 1
     174: 1
     175: 1
     182: 1
     183: 1
     184: 1
     185: 1
     191: 1
     194: 1
     195: 1
     196: 1
     197: 1
     199: 1
     200: 1
     202: 1
     205: 1
     210: 1
     211: 1
     213: 1
     214: 1
     216: 1
     218: 1
     234: 1
     235: 1
     236: 1
     237: 1
     245: 1
     247: 1
     248: 1
     255: 1
     263: 1
     264: 1
     265: 1
     266: 1
     268: 1
     270: 1
     297: 1
     320: 1
     322: 1
     329: 1
     371: 1

372:   0: q+1
       1: 1
       2: q+1
       3: q+1
       4: q+1
       5: 1
       6: 1
       7: q^2+q+1
       8: q+1
       9: 1
      10: 1
      11: q^2+q+1
      12: 1
      13: q+1
      14: 1
      15: q^2+q+1
      16: 1
      17: 1
      21: 1
      22: 1
      23: q^2+q+1
      24: 1
      26: 1
      27: 1
      28: q^2+q+1
      29: 1
      31: 1
      32: 1
      33: q+1
      36: q+1
      37: q+1
      38: 1
      39: 1
      40: 1
      41: q+1
      42: 1
      43: 1
      44: q+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: q^2+q+1
      64: 1
      66: 1
      67: 1
      68: q+1
      71: 1
      72: q+1
      73: 1
      76: q+1
      77: 1
      78: q+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
      93: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: 1
     109: 1
     110: 1
     111: 1
     112: 1
     113: q+1
     116: 1
     117: q+1
     118: 1
     121: 1
     122: 1
     123: q+1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     131: 1
     132: 1
     133: 1
     134: 1
     135: 1
     140: 1
     141: 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: q+1
     164: 1
     167: 1
     168: 1
     169: q+1
     182: 1
     183: 1
     184: 1
     185: 1
     186: 1
     190: 1
     195: 1
     196: 1
     197: 1
     198: 1
     199: 1
     203: 1
     204: 1
     210: 1
     211: 1
     212: 1
     213: 1
     214: 1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: q+1
     244: 1
     246: 1
     247: 1
     249: 1
     263: 1
     264: 1
     265: 1
     269: 1
     271: 1
     272: 1
     298: 1
     320: 1
     321: 1
     323: 1
     372: 1

373:   0: 1
       1: 1
       2: 1
       3: q+1
       4: q+1
       5: q^2+1
       6: q+1
       7: q+1
       8: q+1
       9: q^2+1
      10: 1
      11: q^3+q^2+q+1
      12: q+1
      14: 1
      15: q^3+q^2+q+1
      16: 1
      17: 1
      18: 1
      19: 1
      21: q^2+1
      22: 1
      23: q^3+q^2+q+1
      24: 1
      25: 1
      26: 1
      27: 1
      28: q+1
      29: 1
      31: 1
      32: q+1
      33: q+1
      34: 1
      35: 1
      36: 1
      37: q+1
      38: q+1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      45: 1
      46: 1
      47: 1
      48: 1
      49: q^2+1
      50: q^2+1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: q^2+1
      58: 1
      59: 1
      60: 1
      61: 1
      62: 1
      63: q+1
      64: 1
      66: 1
      67: 1
      68: q+1
      69: 1
      71: 1
      72: q+1
      73: q+1
      74: 1
      75: 1
      76: 1
      77: 1
      79: 1
      80: 1
      81: 1
      82: 1
      84: 1
      85: 1
      86: 1
      87: 1
      88: 1
      89: q^2+1
      90: q^2+1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     107: q^2+1
     108: 1
     109: 1
     110: 1
     111: 1
     112: 1
     113: q+1
     114: 1
     116: 1
     117: q+1
     118: 1
     119: 1
     121: 1
     122: 1
     124: 1
     125: 1
     126: 1
     127: 1
     129: 1
     130: 1
     131: 1
     132: 1
     134: 1
     135: 1
     137: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: 1
     144: 1
     145: 1
     147: 1
     148: 1
     149: 1
     150: 1
     151: 1
     152: 1
     153: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     161: 1
     162: 1
     163: q+1
     164: 1
     165: 1
     172: 1
     173: 1
     175: 1
     176: 1
     182: 1
     183: 1
     185: 1
     186: 1
     189: 1
     190: 1
     191: 1
     192: 1
     198: 1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     211: 1
     212: 1
     213: 1
     215: 1
     216: 1
     217: 1
     218: 1
     234: 1
     235: 1
     237: 1
     238: 1
     240: 1
     248: 1
     249: 1
     250: 1
     265: 1
     266: 1
     267: 1
     268: 1
     269: 1
     271: 1
     272: 1
     302: 1
     322: 1
     323: 1
     324: 1
     373: 1

374:   0: 1
       1: 1
       3: 1
       4: q+1
       5: 1
       6: 1
       7: q+1
       9: q^2+1
      10: 1
      11: q+1
      12: q+1
      14: q^2+1
      15: q^3+q^2+q+1
      16: q+1
      17: 1
      18: q+1
      19: 1
      20: 1
      21: 1
      22: 1
      23: q+1
      24: 1
      25: 1
      26: 1
      27: 1
      28: q+1
      29: q+1
      30: 1
      31: 1
      32: 1
      33: q+1
      34: q+1
      35: 1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      45: q^2+1
      46: 1
      47: 1
      49: 1
      50: q^2+1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      61: 1
      62: 1
      63: q+1
      64: 1
      65: 1
      66: 1
      67: 1
      68: q+1
      69: q+1
      70: 1
      73: 1
      74: 1
      75: 1
      77: 1
      79: 1
      80: 1
      81: 1
      82: 1
      84: 1
      85: q^2+1
      86: 1
      87: 1
      89: 1
      90: q^2+1
      91: 1
      92: 1
      93: 1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     101: 1
     102: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: 1
     109: 1
     111: 1
     112: 1
     113: q+1
     114: 1
     115: 1
     118: 1
     119: 1
     120: 1
     122: 1
     124: 1
     125: 1
     127: 1
     129: 1
     130: 1
     131: 1
     132: 1
     134: 1
     135: q^2+1
     136: 1
     137: 1
     138: 1
     139: 1
     141: 1
     142: 1
     143: 1
     144: 1
     147: 1
     150: 1
     151: 1
     152: 1
     153: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     168: 1
     170: 1
     171: 1
     173: 1
     175: 1
     176: 1
     183: 1
     185: 1
     186: 1
     187: 1
     192: 1
     193: 1
     194: 1
     200: 1
     201: 1
     203: 1
     204: 1
     212: 1
     213: 1
     215: 1
     216: 1
     217: 1
     225: 1
     227: 1
     228: 1
     235: 1
     237: 1
     238: 1
     241: 1
     250: 1
     251: 1
     252: 1
     266: 1
     267: 1
     269: 1
     271: 1
     290: 1
     292: 1
     293: 1
     303: 1
     324: 1
     325: 1
     326: 1
     374: 1

375:   1: 1
       5: 1
       6: 1
       7: q+1
       9: 1
      10: 1
      11: q+1
      12: 1
      14: 1
      15: q+1
      16: 1
      17: 1
      18: q+1
      19: q+1
      20: q+1
      21: 1
      22: 1
      23: q+1
      24: 1
      25: q+1
      26: 1
      27: 1
      28: q+1
      29: 1
      30: q+1
      34: 1
      35: 1
      38: 1
      39: 1
      40: 1
      42: 1
      43: 1
      45: 1
      47: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      57: 1
      58: 1
      61: 1
      62: 1
      63: q+1
      64: 1
      65: q+1
      69: 1
      70: 1
      74: 1
      75: 1
      77: 1
      79: 1
      80: 1
      82: 1
      84: 1
      85: 1
      87: 1
      89: 1
      90: 1
      91: 1
      93: 1
      94: 1
      96: 1
      98: 1
      99: 1
     101: 1
     104: 1
     105: 1
     107: 1
     108: 1
     114: 1
     115: 1
     119: 1
     120: 1
     124: 1
     125: 1
     127: 1
     129: 1
     130: 1
     132: 1
     134: 1
     135: 1
     136: 1
     138: 1
     143: 1
     144: 1
     150: 1
     151: 1
     152: 1
     156: 1
     157: 1
     159: 1
     165: 1
     166: 1
     170: 1
     171: 1
     175: 1
     176: 1
     183: 1
     185: 1
     186: 1
     188: 1
     193: 1
     201: 1
     203: 1
     212: 1
     213: 1
     215: 1
     222: 1
     223: 1
     227: 1
     228: 1
     237: 1
     238: 1
     242: 1
     251: 1
     267: 1
     269: 1
     282: 1
     283: 1
     292: 1
     293: 1
     304: 1
     325: 1
     345: 1
     346: 1
     375: 1

376:   0: q+1
       1: q+1
       3: q+1
       4: q^2+2q+1
       5: 1
       6: q+1
       7: q^2+2q+1
       9: 1
      10: 1
      11: q+1
      12: q^2+2q+1
      14: 1
      15: q+1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      21: 1
      22: 1
      23: q+1
      24: q+1
      25: q+1
      26: 1
      27: 1
      28: q+1
      29: q+1
      31: q+1
      32: q+1
      33: q^2+2q+1
      34: q+1
      35: q+1
      38: q+1
      39: 1
      40: 1
      41: q+1
      42: q+1
      43: 1
      45: 1
      46: q+1
      47: q+1
      49: 1
      50: 1
      51: q+1
      52: 1
      53: 1
      54: 1
      55: 1
      56: q+1
      57: 1
      58: 1
      59: q+1
      61: 1
      62: 1
      63: q+1
      64: q+1
      66: 1
      67: 1
      68: q+1
      69: q+1
      73: q+1
      74: 1
      75: 1
      77: q+1
      79: 1
      80: 1
      81: q+1
      82: q+1
      84: 1
      85: 1
      86: q+1
      87: q+1
      89: 1
      90: 1
      92: 1
      93: 1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     101: 1
     102: 1
     104: 1
     105: 1
     106: q+1
     107: 1
     108: 1
     109: q+1
     111: 1
     112: 1
     113: q+1
     114: q+1
     118: 1
     119: 1
     122: q+1
     124: 1
     125: 1
     127: q+1
     129: 1
     130: 1
     131: q+1
     132: q+1
     134: 1
     135: 1
     137: 1
     139: 1
     141: 1
     142: 1
     143: 1
     144: 1
     147: 1
     150: 1
     151: 1
     152: 1
     153: 1
     156: 1
     157: 1
     158: q+1
     159: 1
     160: 1
     164: 1
     165: 1
     168: 1
     170: 1
     173: q+1
     175: 1
     176: 1
     183: q+1
     185: 1
     186: 1
     189: 1
     192: 1
     194: 1
     200: 1
     201: 1
     203: 1
     204: 1
     212: 1
     213: 1
     215: 1
     216: 1
     217: 1
     220: 1
     222: 1
     225: 1
     227: 1
     235: q+1
     237: 1
     238: 1
     243: 1
     250: 1
     252: 1
     266: 1
     267: 1
     269: 1
     271: 1
     280: 1
     282: 1
     290: 1
     292: 1
     305: 1
     324: 1
     326: 1
     343: 1
     345: 1
     376: 1

377:   0: q+1
       1: 1
       2: q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: 1
       6: q+1
       7: q+1
       8: q^2+2q+1
       9: 1
      10: q+1
      11: q+1
      12: q+1
      14: q+1
      15: q+1
      16: q+1
      17: q+1
      21: 1
      22: q+1
      23: q+1
      24: q+1
      26: 1
      27: q+1
      28: q+1
      29: q+1
      31: 1
      32: q+1
      33: q+1
      36: q+1
      37: q^2+2q+1
      38: q+1
      39: q+1
      40: q+1
      41: q+1
      42: 1
      43: 1
      45: 1
      46: q+1
      47: 1
      48: q+1
      49: 1
      50: 1
      52: q+1
      53: q+1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: q+1
      61: 1
      62: q+1
      63: q+1
      64: q+1
      66: 1
      67: q+1
      68: q+1
      71: 1
      72: q+1
      73: q+1
      76: q+1
      77: 1
      79: 1
      80: 1
      81: q+1
      82: 1
      84: 1
      85: 1
      86: q+1
      87: 1
      88: q+1
      89: 1
      90: 1
      93: q+1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: 1
     109: 1
     110: q+1
     111: 1
     112: q+1
     113: q+1
     116: 1
     117: q+1
     118: q+1
     121: 1
     122: 1
     126: q+1
     127: 1
     129: 1
     130: 1
     131: q+1
     132: 1
     134: 1
     135: 1
     140: 1
     141: 1
     144: 1
     145: 1
     147: 1
     148: 1
     149: 1
     150: 1
     151: 1
     152: 1
     153: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     161: 1
     162: 1
     163: q+1
     164: q+1
     167: 1
     168: 1
     172: 1
     173: 1
     182: q+1
     183: 1
     185: 1
     186: 1
     190: 1
     195: 1
     198: 1
     199: 1
     202: 1
     203: 1
     204: 1
     211: 1
     212: 1
     213: 1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     224: 1
     225: 1
     234: 1
     235: 1
     244: 1
     249: 1
     253: 1
     265: 1
     268: 1
     269: 1
     271: 1
     272: 1
     279: 1
     280: 1
     289: 1
     290: 1
     306: 1
     323: 1
     327: 1
     342: 1
     343: 1
     377: 1

378:   0: 1
       1: 1
       2: 1
       3: q+1
       4: q+1
       5: 1
       6: q+1
       7: q+1
       8: q+1
      10: q+1
      11: q+1
      12: q+1
      16: q+1
      18: q+1
      26: 1
      27: q+1
      28: q+1
      29: q+1
      31: 1
      32: q+1
      33: q+1
      34: q+1
      36: 1
      37: q+1
      38: q+1
      39: q+1
      41: 1
      42: 1
      43: 1
      46: 1
      47: 1
      48: 1
      49: 1
      53: q+1
      55: 1
      56: 1
      58: 1
      59: 1
      60: 1
      66: 1
      67: q+1
      68: q+1
      69: q+1
      71: 1
      72: q+1
      73: q+1
      74: q+1
      76: 1
      77: 1
      79: 1
      81: 1
      82: 1
      84: 1
      86: 1
      87: 1
      88: 1
      89: 1
      92: q+1
      95: 1
      97: 1
      99: 1
     102: 1
     103: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: 1
     116: 1
     117: q+1
     118: q+1
     119: q+1
     121: 1
     122: 1
     124: 1
     126: 1
     127: 1
     129: 1
     131: 1
     132: 1
     134: 1
     139: q+1
     140: 1
     142: 1
     145: 1
     148: 1
     149: 1
     151: 1
     153: 1
     157: 1
     158: 1
     160: 1
     161: 1
     167: 1
     168: 1
     170: 1
     172: 1
     173: 1
     175: 1
     182: 1
     183: 1
     185: 1
     191: 1
     194: 1
     195: 1
     199: 1
     200: 1
     202: 1
     211: 1
     213: 1
     216: 1
     218: 1
     224: 1
     225: 1
     227: 1
     234: 1
     235: 1
     237: 1
     245: 1
     248: 1
     252: 1
     253: 1
     265: 1
     266: 1
     268: 1
     289: 1
     290: 1
     292: 1
     307: 1
     322: 1
     326: 1
     327: 1
     378: 1

379:   0: q+1
       1: q+1
       2: q^2+2q+1
       3: q+1
       4: q+1
       5: q+1
       6: q+1
       7: q+1
       8: q^2+2q+1
       9: q+1
      10: q+1
      11: q+1
      13: q^2+2q+1
      14: q+1
      15: q+1
      21: q+1
      22: q+1
      23: q+1
      26: q+1
      27: q+1
      28: q+1
      31: q+1
      32: q+1
      33: q+1
      36: q+1
      37: q+1
      41: q+1
      42: q+1
      43: q+1
      44: q^2+2q+1
      45: q+1
      46: 1
      47: 1
      48: q+1
      49: 1
      50: 1
      54: q+1
      55: q+1
      56: q+1
      57: 1
      58: 1
      59: 1
      60: 1
      61: q+1
      62: q+1
      63: q+1
      66: q+1
      67: q+1
      68: q+1
      71: q+1
      72: q+1
      76: q+1
      78: q+1
      81: 1
      82: 1
      83: q+1
      84: 1
      85: 1
      86: 1
      87: 1
      88: q+1
      89: 1
      90: 1
      96: q+1
      97: q+1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: 1
     109: 1
     110: 1
     111: q+1
     112: q+1
     113: q+1
     116: q+1
     117: q+1
     121: q+1
     123: q+1
     126: 1
     128: 1
     131: 1
     132: 1
     133: q+1
     134: 1
     135: 1
     141: q+1
     146: 1
     147: 1
     148: 1
     152: 1
     153: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     161: 1
     162: q+1
     163: q+1
     167: q+1
     169: q+1
     172: 1
     174: 1
     182: 1
     184: 1
     196: 1
     198: 1
     204: 1
     205: 1
     210: 1
     214: 1
     215: 1
     216: 1
     217: 1
     218: 1
     219: q+1
     221: q+1
     224: 1
     226: 1
     234: 1
     236: 1
     246: 1
     254: 1
     264: 1
     270: 1
     271: 1
     272: 1
     279: 1
     281: 1
     289: 1
     291: 1
     308: 1
     321: 1
     328: 1
     342: 1
     344: 1
     379: 1

380:   0: q^2+2q+1
       1: q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: q+1
       6: q+1
       7: q+1
       8: q^2+2q+1
      10: q+1
      11: q+1
      12: q+1
      13: q^2+2q+1
      16: q+1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      31: q+1
      32: q+1
      33: q+1
      36: q^2+2q+1
      37: q^2+2q+1
      38: q+1
      39: q+1
      41: q^2+2q+1
      42: q+1
      43: q+1
      44: q^2+2q+1
      46: q+1
      47: 1
      48: q+1
      49: 1
      53: q+1
      55: q+1
      56: q+1
      58: 1
      59: 1
      60: q+1
      66: q+1
      67: q+1
      68: q+1
      71: q+1
      72: q+1
      73: q+1
      76: q^2+2q+1
      77: q+1
      78: q^2+2q+1
      79: q+1
      81: q+1
      82: 1
      83: q+1
      84: 1
      86: q+1
      87: 1
      88: q+1
      89: 1
      95: q+1
      97: q+1
      99: q+1
     100: q+1
     102: 1
     103: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: q+1
     116: q+1
     117: q+1
     118: q+1
     121: q+1
     122: q+1
     123: q+1
     126: q+1
     127: 1
     128: q+1
     129: 1
     131: q+1
     132: 1
     133: q+1
     134: 1
     140: q+1
     145: q+1
     146: 1
     148: 1
     149: 1
     151: 1
     153: 1
     154: q+1
     155: q+1
     157: 1
     158: 1
     160: 1
     161: 1
     167: q+1
     168: q+1
     169: q+1
     172: 1
     173: 1
     174: 1
     182: q+1
     183: 1
     184: q+1
     185: 1
     195: q+1
     196: 1
     197: 1
     199: 1
     202: 1
     205: 1
     210: 1
     211: 1
     213: 1
     214: q+1
     216: 1
     218: 1
     224: 1
     225: 1
     226: 1
     234: 1
     235: 1
     236: 1
     247: 1
     253: 1
     254: 1
     255: 1
     263: 1
     264: 1
     265: 1
     268: 1
     270: 1
     289: 1
     290: 1
     291: 1
     309: 1
     320: 1
     327: 1
     328: 1
     329: 1
     380: 1

381:   0: q^2+2q+1
       1: q^3+q^2+q+1
       2: q^2+2q+1
       3: q^3+q^2+q+1
       4: q^2+2q+1
       6: q^2+1
       7: q+1
       8: q^2+2q+1
      12: q^2+1
      13: q^3+2q^2+2q+1
      31: q^2+q+1
      32: q^2+1
      33: q+1
      36: q^2+2q+1
      37: q^2+2q+1
      38: q^2+1
      41: q^2+q+1
      42: q^2+1
      44: q^2+2q+1
      46: 2q+1
      47: q+1
      48: 2q+1
      56: q^2+1
      59: q+1
      60: 2q+1
      71: q^2+q+1
      72: q+1
      73: q^2+1
      76: q^2+q+1
      77: q^2+1
      78: q^2+2q+1
      81: q+1
      82: 1
      83: 2q+1
      86: 2q+1
      87: q+1
      88: 2q+1
      95: q^2+1
     100: q+1
     103: q+1
     106: 1
     109: q+1
     110: 2q+1
     121: 1
     122: 1
     123: q+1
     126: q+1
     127: 1
     128: 2q+1
     131: q+1
     132: 1
     133: 2q+1
     145: 1
     146: 1
     149: 1
     154: q+1
     155: q+1
     158: 1
     161: q+1
     172: 1
     173: 1
     174: q+1
     177: 1
     178: 1
     179: q+1
     182: q+1
     183: 1
     184: 2q+1
     197: 1
     202: 1
     205: 1
     206: 1
     209: 1
     210: 1
     211: 1
     214: q+1
     229: 1
     230: 1
     231: q+1
     234: 1
     235: 1
     236: q+1
     255: 1
     256: 1
     257: 1
     260: 1
     263: 1
     268: 1
     270: 1
     273: 1
     311: 1
     329: 1
     330: 1
     331: 1
     381: 1

382:   0: q^2+1
       1: q^2+1
       2: q+1
       3: q^2+1
       4: 1
       5: q^2+1
       6: q^2+1
       7: 1
       8: q^2+q+1
      10: q^2+1
      11: 1
      13: q^2+q+1
      26: q^2+1
      27: q^2+1
      28: 1
      31: q^2+1
      32: q^2+1
      33: 1
      36: 1
      37: 1
      41: q^2+1
      42: q^2+1
      43: q^2+1
      44: q^2+q+1
      46: 1
      47: 1
      48: q+1
      49: 1
      55: q^2+1
      56: q^2+1
      58: 1
      59: 1
      60: 1
      66: q^2+1
      67: q^2+1
      68: 1
      71: 1
      72: 1
      76: 1
      78: 1
      81: 1
      82: 1
      83: q+1
      84: 1
      86: 1
      87: 1
      88: q+1
      89: 1
      97: q^2+1
     100: 1
     102: 1
     103: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: 1
     116: 1
     117: 1
     121: 1
     123: 1
     126: 1
     128: 1
     131: 1
     132: 1
     133: q+1
     134: 1
     146: 1
     148: 1
     153: 1
     154: 1
     155: 1
     157: 1
     158: 1
     160: 1
     161: 1
     167: 1
     169: 1
     172: 1
     174: 1
     177: 1
     178: 1
     179: q+1
     180: 1
     182: 1
     184: 1
     196: 1
     205: 1
     206: 1
     208: 1
     209: 1
     210: 1
     214: 1
     216: 1
     218: 1
     224: 1
     226: 1
     234: 1
     236: 1
     254: 1
     256: 1
     262: 1
     264: 1
     270: 1
     273: 1
     289: 1
     291: 1
     312: 1
     328: 1
     330: 1
     382: 1

383:   0: 1
       2: 1
       3: 1
       4: 1
       8: 1
      13: 1
      36: 1
      37: 1
      41: 1
      44: 1
      46: 1
      48: 1
      60: 1
      76: 1
      78: 1
      81: 1
      83: 1
      86: 1
      88: 1
     100: 1
     110: 1
     126: 1
     128: 1
     131: 1
     133: 1
     154: 1
     155: 1
     177: 1
     179: 1
     182: 1
     184: 1
     206: 1
     214: 1
     229: 1
     231: 1
     260: 1
     273: 1
     274: 1
     276: 1
     310: 1
     331: 1
     383: 1

384:   0: 1
       1: 1
       2: q+1
       3: q^3+1
       4: 1
       6: q^3+1
       7: 1
       8: q+1
      13: q^3+q+1
      31: 1
      32: q^3+1
      33: 1
      36: 1
      37: 1
      41: 1
      42: 1
      44: q+1
      46: 1
      47: 1
      48: q+1
      56: 1
      59: 1
      60: 1
      71: 1
      72: 1
      76: 1
      78: 1
      81: 1
      82: 1
      83: q+1
      86: 1
      87: 1
      88: q+1
     100: 1
     103: 1
     106: 1
     109: 1
     110: 1
     121: 1
     123: 1
     126: 1
     128: 1
     131: 1
     132: 1
     133: q+1
     146: 1
     154: 1
     155: 1
     158: 1
     161: 1
     172: 1
     174: 1
     177: 1
     178: 1
     179: q+1
     182: 1
     184: 1
     205: 1
     206: 1
     209: 1
     210: 1
     214: 1
     229: 1
     231: 1
     234: 1
     236: 1
     256: 1
     260: 1
     270: 1
     273: 1
     284: 1
     286: 1
     318: 1
     330: 1
     331: 1
     384: 1

385:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+1
       3: q+1
       4: q+1
       6: q+1
       7: q+1
       8: q+1
      12: q+1
      13: q^2+q+1
      31: q^2+2q+1
      32: q+1
      33: q+1
      36: q^2+2q+1
      37: q+1
      38: q+1
      41: q+1
      42: q+1
      44: q+1
      46: q+1
      47: q+1
      48: q+1
      56: q+1
      59: q+1
      60: q+1
      71: q^2+2q+1
      72: q+1
      73: q+1
      76: q+1
      77: q+1
      78: q+1
      81: 1
      82: 1
      83: q+1
      86: q+1
      87: q+1
      88: q+1
      95: q+1
     100: 1
     103: q+1
     106: 1
     109: q+1
     110: q+1
     121: q+1
     122: q+1
     123: q+1
     126: 1
     127: 1
     128: q+1
     131: 1
     132: 1
     133: q+1
     145: q+1
     146: 1
     149: 1
     154: 1
     155: 1
     158: 1
     161: q+1
     172: 1
     173: 1
     174: q+1
     177: 1
     178: 1
     182: 1
     183: 1
     184: q+1
     197: 1
     202: 1
     205: 1
     209: 1
     210: 1
     211: 1
     214: 1
     229: 1
     230: 1
     234: 1
     235: 1
     236: q+1
     255: 1
     257: 1
     263: 1
     268: 1
     270: 1
     274: 1
     284: 1
     285: 1
     316: 1
     329: 1
     332: 1
     385: 1

386:   0: 1
       1: 1
       2: 1
       3: q+1
       4: 1
       6: q+1
       7: 1
       8: 1
      12: q+1
      31: 1
      32: q+1
      33: 1
      36: 1
      37: 1
      38: q+1
      41: 1
      42: 1
      46: 1
      47: 1
      48: 1
      56: 1
      59: 1
      60: 1
      71: 1
      72: 1
      73: q+1
      76: 1
      77: 1
      81: 1
      82: 1
      86: 1
      87: 1
      88: 1
      95: 1
     103: 1
     106: 1
     109: 1
     110: 1
     121: 1
     122: 1
     126: 1
     127: 1
     131: 1
     132: 1
     145: 1
     149: 1
     158: 1
     161: 1
     172: 1
     173: 1
     177: 1
     178: 1
     182: 1
     183: 1
     202: 1
     209: 1
     211: 1
     229: 1
     230: 1
     234: 1
     235: 1
     257: 1
     268: 1
     275: 1
     284: 1
     285: 1
     316: 1
     333: 1
     386: 1

387:   0: 1
       1: 1
       2: 1
       3: 1
       4: q^2+q+1
       6: 1
       7: q^2+q+1
       8: q^2+q+1
      12: 1
      13: q^2+q+1
      31: 1
      32: 1
      33: q^2+q+1
      36: 1
      37: q^2+q+1
      38: 1
      41: 1
      42: 1
      44: q^2+q+1
      46: 1
      47: 1
      48: 1
      56: 1
      59: 1
      60: 1
      71: 1
      72: q^2+q+1
      73: 1
      76: 1
      77: 1
      78: q^2+q+1
      81: 1
      82: 1
      83: 1
      86: 1
      87: 1
      88: 1
      95: 1
     100: 1
     103: 1
     106: 1
     109: 1
     110: 1
     121: 1
     122: 1
     123: q^2+q+1
     126: 1
     127: 1
     128: 1
     131: 1
     132: 1
     133: 1
     145: 1
     146: 1
     149: 1
     154: 1
     155: 1
     158: 1
     161: 1
     172: 1
     173: 1
     174: 1
     179: 1
     182: 1
     183: 1
     184: 1
     197: 1
     202: 1
     205: 1
     210: 1
     211: 1
     214: 1
     231: 1
     234: 1
     235: 1
     236: 1
     255: 1
     263: 1
     268: 1
     270: 1
     276: 1
     286: 1
     329: 1
     334: 1
     387: 1

388:   5: 1
      10: 1
      11: 1
      16: 1
      18: 1
      34: 1
      39: 1
      43: 1
      49: 1
      74: 1
      79: 1
      84: 1
      89: 1
     124: 1
     129: 1
     134: 1
     175: 1
     180: 1
     185: 1
     232: 1
     237: 1
     277: 1
     287: 1
     335: 1
     388: 1

389:   9: 1
      14: 1
      15: 1
      17: 1
      19: 1
      35: 1
      40: 1
      45: 1
      50: 1
      75: 1
      80: 1
      85: 1
      90: 1
     125: 1
     130: 1
     135: 1
     176: 1
     181: 1
     186: 1
     233: 1
     238: 1
     278: 1
     288: 1
     336: 1
     389: 1

390:   0: q+1
       1: q+1
       2: q^3+2q^2+2q+1
       3: q+1
       4: 1
       5: q+1
       6: q+1
       7: 1
       8: q^2+q+1
      10: q+1
      11: 1
      13: q^2+q+1
      26: q+1
      27: q+1
      28: 1
      31: q+1
      32: q+1
      33: 1
      36: q+1
      37: 1
      41: q+1
      42: q+1
      43: q+1
      44: q^2+q+1
      46: 1
      47: 1
      48: q^2+q+1
      49: 1
      55: q+1
      56: q+1
      58: 1
      59: 1
      60: 1
      66: q+1
      67: q+1
      68: 1
      71: q+1
      72: 1
      76: q+1
      78: 1
      81: 1
      82: 1
      83: q^2+q+1
      84: 1
      86: 1
      87: 1
      88: q^2+q+1
      89: 1
      97: q+1
     100: 1
     102: 1
     103: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: 1
     116: q+1
     117: 1
     121: q+1
     123: 1
     126: 1
     128: 1
     131: 1
     132: 1
     133: q^2+q+1
     134: 1
     146: 1
     148: 1
     153: 1
     154: 1
     155: 1
     157: 1
     158: 1
     160: 1
     161: 1
     167: q+1
     169: 1
     172: 1
     174: 1
     177: 1
     178: 1
     180: 1
     182: 1
     184: 1
     196: 1
     205: 1
     208: 1
     209: 1
     210: 1
     214: 1
     216: 1
     218: 1
     224: 1
     226: 1
     229: 1
     234: 1
     236: 1
     254: 1
     262: 1
     264: 1
     270: 1
     274: 1
     284: 1
     289: 1
     291: 1
     328: 1
     332: 1
     337: 1
     390: 1

391:   0: q+1
       1: 1
       3: q+1
       4: q+1
       5: 1
       6: 1
       7: 1
      10: 1
      11: 1
      12: q+1
      16: q+1
      26: 1
      27: 1
      28: 1
      29: q+1
      31: 1
      32: 1
      33: 1
      38: 1
      39: 1
      41: q+1
      42: 1
      43: 1
      46: q+1
      47: 1
      49: 1
      53: 1
      55: 1
      56: 1
      58: 1
      59: 1
      66: 1
      67: 1
      68: 1
      73: 1
      77: 1
      79: 1
      81: q+1
      82: 1
      84: 1
      86: q+1
      87: 1
      89: 1
      97: 1
      99: 1
     102: 1
     105: 1
     106: 1
     108: 1
     109: 1
     118: 1
     122: 1
     127: 1
     129: 1
     131: q+1
     132: 1
     134: 1
     151: 1
     153: 1
     157: 1
     158: 1
     160: 1
     168: 1
     173: 1
     177: q+1
     178: 1
     180: 1
     183: 1
     185: 1
     208: 1
     209: 1
     213: 1
     216: 1
     225: 1
     230: 1
     232: 1
     235: 1
     259: 1
     262: 1
     275: 1
     277: 1
     285: 1
     290: 1
     301: 1
     333: 1
     338: 1
     391: 1

392:   0: 1
       1: 1
       2: q+1
       3: 1
       4: q+1
       5: 1
       6: 1
       7: q+1
       8: q^3+q^2+2q+1
      10: 1
      11: q+1
      13: q^3+q^2+2q+1
      26: 1
      27: 1
      28: q+1
      31: 1
      32: 1
      33: q+1
      36: 1
      37: q+1
      41: 1
      42: 1
      43: 1
      44: q^3+q^2+2q+1
      46: 1
      47: 1
      48: q+1
      49: 1
      55: 1
      56: 1
      58: 1
      59: 1
      60: 1
      66: 1
      67: 1
      68: q+1
      71: 1
      72: q+1
      76: 1
      78: q+1
      81: 1
      82: 1
      83: q+1
      84: 1
      86: 1
      87: 1
      88: q+1
      89: 1
      97: 1
     100: 1
     102: 1
     103: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: 1
     116: 1
     117: q+1
     121: 1
     123: q+1
     126: 1
     128: 1
     131: 1
     132: 1
     133: q+1
     134: 1
     146: 1
     148: 1
     153: 1
     154: 1
     155: 1
     157: 1
     158: 1
     160: 1
     161: 1
     167: 1
     169: q+1
     172: 1
     174: 1
     179: q+1
     182: 1
     184: 1
     196: 1
     205: 1
     210: 1
     214: 1
     216: 1
     218: 1
     224: 1
     226: 1
     231: 1
     234: 1
     236: 1
     254: 1
     264: 1
     270: 1
     276: 1
     286: 1
     289: 1
     291: 1
     328: 1
     334: 1
     339: 1
     392: 1

393:   1: q+1
       5: q+1
       6: q+1
       7: q+1
      10: q+1
      11: q+1
      12: 1
      16: 1
      18: q+1
      26: q+1
      27: q+1
      28: q+1
      29: 1
      34: 1
      38: 1
      39: 1
      42: q+1
      43: q+1
      47: q+1
      49: q+1
      53: 1
      55: q+1
      58: q+1
      69: 1
      74: 1
      77: 1
      79: 1
      82: q+1
      84: q+1
      87: q+1
      89: q+1
      99: 1
     105: q+1
     108: q+1
     119: 1
     124: 1
     127: 1
     129: 1
     132: q+1
     134: q+1
     151: 1
     157: q+1
     170: 1
     175: 1
     178: q+1
     180: q+1
     183: 1
     185: 1
     208: q+1
     213: 1
     227: 1
     230: 1
     232: 1
     237: 1
     259: 1
     275: 1
     277: 1
     287: 1
     292: 1
     301: 1
     335: 1
     340: 1
     393: 1

394:   9: q+1
      14: q+1
      15: q+1
      17: 1
      19: 1
      20: 1
      30: 1
      35: 1
      40: 1
      45: q+1
      50: q+1
      70: 1
      75: 1
      80: 1
      85: q+1
      90: q+1
     120: 1
     125: 1
     130: 1
     135: q+1
     171: 1
     176: 1
     181: q+1
     186: 1
     228: 1
     233: 1
     238: 1
     278: 1
     288: 1
     293: 1
     336: 1
     341: 1
     394: 1

395:   0: 1
       1: 1
       2: q^2+q+1
       3: q+1
       4: 1
       5: 1
       6: q+1
       7: 1
       8: q^2+q+1
       9: 1
      10: q+1
      11: 1
      14: q+1
      15: 1
      21: 1
      22: q+1
      23: 1
      26: 1
      27: q+1
      28: 1
      31: 1
      32: q+1
      33: 1
      36: 1
      37: 1
      41: 1
      42: 1
      43: 1
      45: 1
      46: 1
      47: 1
      48: q^2+q+1
      49: 1
      50: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: q+1
      63: 1
      66: 1
      67: q+1
      68: 1
      71: 1
      72: 1
      76: 1
      81: 1
      82: 1
      84: 1
      85: 1
      86: 1
      87: 1
      88: q^2+q+1
      89: 1
      90: 1
      96: 1
      97: 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: 1
     116: 1
     117: 1
     121: 1
     126: 1
     131: 1
     132: 1
     134: 1
     135: 1
     141: 1
     147: 1
     148: 1
     152: 1
     153: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     161: 1
     162: 1
     163: 1
     167: 1
     172: 1
     177: 1
     178: 1
     180: 1
     181: 1
     182: 1
     198: 1
     204: 1
     207: 1
     208: 1
     209: 1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     224: 1
     229: 1
     234: 1
     261: 1
     262: 1
     271: 1
     272: 1
     279: 1
     284: 1
     289: 1
     319: 1
     337: 1
     342: 1
     395: 1

396:   0: q^2+2q+1
       1: q+1
       3: q+1
       4: q^2+2q+1
       5: q+1
       6: 1
       7: q+1
       9: q+1
      10: 1
      11: q+1
      12: q+1
      14: 1
      15: q+1
      16: q+1
      17: q+1
      21: q+1
      22: 1
      23: q+1
      24: q+1
      26: q+1
      27: 1
      28: q+1
      29: q+1
      31: q+1
      32: 1
      33: q+1
      38: 1
      39: 1
      40: 1
      41: q+1
      42: 1
      43: 1
      45: 1
      46: q^2+2q+1
      47: q+1
      49: q+1
      50: q+1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: q+1
      58: q+1
      59: q+1
      61: q+1
      62: 1
      63: q+1
      64: q+1
      66: q+1
      67: 1
      68: q+1
      73: 1
      77: 1
      79: 1
      80: 1
      81: q+1
      82: 1
      84: 1
      85: 1
      86: q^2+2q+1
      87: q+1
      89: q+1
      90: q+1
      93: 1
      96: 1
      97: 1
      98: 1
      99: 1
     101: q+1
     102: q+1
     104: 1
     105: 1
     106: 1
     107: q+1
     108: q+1
     109: q+1
     111: q+1
     112: 1
     113: q+1
     118: 1
     122: 1
     127: 1
     129: 1
     130: 1
     131: q+1
     132: 1
     134: 1
     135: 1
     141: 1
     144: 1
     147: q+1
     150: 1
     151: 1
     152: 1
     153: 1
     156: 1
     157: 1
     158: 1
     159: q+1
     160: q+1
     164: 1
     168: 1
     173: 1
     177: q+1
     178: 1
     180: 1
     181: 1
     183: 1
     185: 1
     186: 1
     203: 1
     204: 1
     207: 1
     208: 1
     209: 1
     212: 1
     213: 1
     215: 1
     216: 1
     217: q+1
     220: 1
     225: 1
     230: 1
     232: 1
     233: 1
     235: 1
     258: 1
     259: 1
     261: 1
     262: 1
     269: 1
     271: 1
     280: 1
     285: 1
     290: 1
     317: 1
     319: 1
     338: 1
     343: 1
     396: 1

397:   0: 1
       1: 1
       2: 1
       4: 1
       5: 1
       7: 1
       8: 1
       9: 1
      11: 1
      13: q^3+q^2+q+1
      15: 1
      21: 1
      23: 1
      26: 1
      28: 1
      31: 1
      33: 1
      36: 1
      37: 1
      44: 1
      46: 1
      47: 1
      48: 1
      49: 1
      50: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      63: 1
      66: 1
      68: 1
      71: 1
      72: 1
      78: 1
      83: 1
      86: 1
      87: 1
      88: 1
      89: 1
      90: 1
     101: 1
     102: 1
     103: 1
     107: 1
     108: 1
     109: 1
     110: 1
     111: 1
     113: 1
     116: 1
     117: 1
     123: 1
     128: 1
     133: 1
     147: 1
     148: 1
     159: 1
     160: 1
     161: 1
     162: 1
     163: 1
     169: 1
     174: 1
     179: 1
     184: 1
     198: 1
     217: 1
     218: 1
     221: 1
     226: 1
     231: 1
     236: 1
     272: 1
     281: 1
     286: 1
     291: 1
     339: 1
     344: 1
     397: 1

398:   1: q^2+2q+1
       5: q+1
       6: q+1
       7: q^2+2q+1
       9: q+1
      10: 1
      11: q+1
      12: q+1
      14: 1
      15: q+1
      16: 1
      17: 1
      18: q+1
      19: q+1
      21: q+1
      22: 1
      23: q+1
      24: 1
      25: q+1
      26: q+1
      27: 1
      28: q+1
      29: 1
      34: 1
      35: 1
      38: q+1
      39: 1
      40: 1
      42: q+1
      43: 1
      45: 1
      47: q^2+2q+1
      49: q+1
      50: q+1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      57: q+1
      58: q+1
      61: q+1
      62: 1
      63: q+1
      64: 1
      69: 1
      74: 1
      75: 1
      77: q+1
      79: 1
      80: 1
      82: q+1
      84: 1
      85: 1
      87: q^2+2q+1
      89: q+1
      90: q+1
      93: 1
      94: 1
      96: 1
      98: 1
      99: 1
     101: q+1
     104: 1
     105: 1
     107: q+1
     108: q+1
     114: 1
     119: 1
     124: 1
     125: 1
     127: q+1
     129: 1
     130: 1
     132: q+1
     134: 1
     135: 1
     143: 1
     144: 1
     150: 1
     151: 1
     152: 1
     156: 1
     157: 1
     159: q+1
     165: 1
     170: 1
     175: 1
     176: 1
     178: q+1
     180: 1
     181: 1
     183: q+1
     185: 1
     186: 1
     201: 1
     203: 1
     207: 1
     208: 1
     212: 1
     213: 1
     215: 1
     222: 1
     227: 1
     230: q+1
     232: 1
     233: 1
     237: 1
     238: 1
     258: 1
     259: 1
     261: 1
     267: 1
     269: 1
     282: 1
     287: 1
     288: 1
     292: 1
     315: 1
     317: 1
     340: 1
     345: 1
     398: 1

399:   5: q+1
       9: q+1
      10: 1
      11: q+1
      14: 1
      15: q+1
      16: 1
      17: 1
      18: 1
      19: 1
      20: q+1
      21: q+1
      22: 1
      23: q+1
      24: 1
      25: 1
      30: 1
      34: 1
      35: 1
      39: 1
      40: 1
      43: 1
      45: 1
      49: q+1
      50: q+1
      51: 1
      52: 1
      54: 1
      57: q+1
      65: 1
      70: 1
      74: 1
      75: 1
      79: 1
      80: 1
      84: 1
      85: 1
      89: q+1
      90: q+1
      94: 1
      98: 1
     104: 1
     107: q+1
     115: 1
     120: 1
     124: 1
     125: 1
     129: 1
     130: 1
     134: 1
     135: 1
     143: 1
     150: 1
     156: 1
     166: 1
     171: 1
     175: 1
     176: 1
     180: 1
     181: 1
     185: 1
     186: 1
     201: 1
     207: 1
     212: 1
     223: 1
     228: 1
     232: 1
     233: 1
     237: 1
     238: 1
     258: 1
     267: 1
     283: 1
     287: 1
     288: 1
     293: 1
     315: 1
     341: 1
     346: 1
     399: 1

400:   0: 1
       1: 1
       2: 1
       3: q+1
       4: 1
       5: q^2+q+1
       6: q+1
       7: 1
       8: 1
      10: q+1
      11: q^2+q+1
      12: q+1
      16: q+1
      18: q+1
      26: 1
      27: 1
      28: 1
      29: 1
      31: 1
      32: q+1
      33: 1
      34: q+1
      36: 1
      37: 1
      38: q+1
      39: q+1
      41: 1
      42: 1
      43: q+1
      46: 1
      47: 1
      48: 1
      49: q^2+q+1
      53: 1
      55: 1
      56: 1
      58: 1
      59: 1
      60: 1
      66: 1
      67: 1
      68: 1
      69: 1
      71: 1
      72: 1
      73: q+1
      74: q+1
      76: 1
      77: 1
      79: q+1
      81: 1
      82: 1
      84: q+1
      86: 1
      87: 1
      88: 1
      89: q^2+q+1
      92: 1
      95: 1
      97: 1
      99: 1
     102: 1
     103: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: 1
     116: 1
     117: 1
     118: 1
     119: 1
     121: 1
     122: 1
     124: q+1
     126: 1
     127: 1
     129: q+1
     131: 1
     132: 1
     134: q+1
     139: 1
     140: 1
     142: 1
     145: 1
     148: 1
     149: 1
     151: 1
     153: 1
     157: 1
     158: 1
     160: 1
     161: 1
     172: 1
     173: 1
     175: q+1
     177: 1
     178: 1
     180: q+1
     182: 1
     183: 1
     185: q+1
     191: 1
     199: 1
     200: 1
     202: 1
     208: 1
     209: 1
     211: 1
     213: 1
     216: 1
     218: 1
     229: 1
     230: 1
     232: q+1
     234: 1
     235: 1
     237: q+1
     248: 1
     257: 1
     259: 1
     262: 1
     265: 1
     266: 1
     268: 1
     275: 1
     277: 1
     284: 1
     285: 1
     287: q+1
     301: 1
     313: 1
     314: 1
     316: 1
     322: 1
     333: 1
     335: 1
     350: 1
     363: 1
     386: 1
     388: 1
     400: 1

401:   5: 1
       9: 1
      10: 1
      11: 1
      14: 1
      15: 1
      16: 1
      17: 1
      18: 1
      19: 1
      21: 1
      22: 1
      23: 1
      24: 1
      25: 1
      34: 1
      35: 1
      39: 1
      40: 1
      43: 1
      45: 1
      49: 1
      50: 1
      51: 1
      52: 1
      54: 1
      57: 1
      74: 1
      75: 1
      79: 1
      80: 1
      84: 1
      85: 1
      89: 1
      90: 1
      94: 1
      98: 1
     104: 1
     107: 1
     124: 1
     125: 1
     129: 1
     130: 1
     134: 1
     135: 1
     143: 1
     150: 1
     156: 1
     175: 1
     176: 1
     180: 1
     181: 1
     185: 1
     186: 1
     201: 1
     207: 1
     212: 1
     232: 1
     233: 1
     237: 1
     238: 1
     258: 1
     267: 1
     277: 1
     278: 1
     287: 1
     288: 1
     300: 1
     315: 1
     335: 1
     336: 1
     351: 1
     388: 1
     389: 1
     401: 1

402:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: 1
       6: q+1
       7: 1
       8: 1
      12: q+1
      13: 1
      31: q+1
      32: q+1
      33: 1
      36: q+1
      37: 1
      38: q+1
      41: q+1
      42: q+1
      44: 1
      46: 1
      47: 1
      48: 1
      56: q+1
      59: 1
      60: 1
      71: q+1
      72: 1
      73: q+1
      76: q+1
      77: q+1
      78: 1
      81: 1
      82: 1
      83: 1
      86: 1
      87: 1
      88: 1
      95: q+1
     100: 1
     103: 1
     106: 1
     109: 1
     110: 1
     121: q+1
     122: q+1
     123: 1
     126: 1
     127: 1
     128: 1
     131: 1
     132: 1
     133: 1
     145: q+1
     146: 1
     149: 1
     154: 1
     155: 1
     158: 1
     161: 1
     172: 1
     173: 1
     174: 1
     177: 1
     178: 1
     182: 1
     183: 1
     184: 1
     197: 1
     202: 1
     205: 1
     209: 1
     210: 1
     211: 1
     214: 1
     229: 1
     230: 1
     234: 1
     235: 1
     236: 1
     255: 1
     257: 1
     263: 1
     268: 1
     270: 1
     274: 1
     275: 1
     284: 1
     285: 1
     299: 1
     316: 1
     329: 1
     332: 1
     333: 1
     352: 1
     385: 1
     386: 1
     402: 1

403:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: 1
       5: q+1
       6: q+1
       7: 1
       8: 1
       9: 1
      10: q+1
      11: 1
      12: q+1
      13: 1
      14: 1
      15: q^4+1
      16: q+1
      17: 1
      18: q+1
      19: 1
      20: 1
      21: 1
      22: 1
      23: 1
      24: 1
      25: 1
      26: q+1
      27: q+1
      28: 1
      29: q+1
      30: 1
      31: q+1
      32: q+1
      33: 1
      34: q+1
      35: 1
      36: q+1
      37: 1
      38: q+1
      39: q+1
      40: 1
      41: q+1
      42: q+1
      43: q+1
      44: 1
      45: 1
      46: 1
      47: 1
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: q+1
      54: 1
      55: q+1
      56: q+1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: 1
      63: 1
      64: 1
      65: 1
      66: q+1
      67: q+1
      68: 1
      69: q+1
      70: 1
      71: q+1
      72: 1
      73: q+1
      74: q+1
      75: 1
      76: q+1
      77: q+1
      78: 1
      79: q+1
      80: 1
      81: 1
      82: 1
      83: 1
      84: 1
      85: 1
      91: 1
      92: q+1
      93: 1
      94: 1
      95: q+1
      96: 1
      97: q+1
      98: 1
      99: q+1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     111: 1
     112: 1
     113: 1
     114: 1
     115: 1
     116: q+1
     117: 1
     118: q+1
     119: q+1
     120: 1
     121: q+1
     122: q+1
     123: 1
     124: q+1
     125: 1
     126: 1
     127: 1
     128: 1
     129: 1
     130: 1
     136: 1
     137: 1
     138: 1
     139: q+1
     140: q+1
     141: 1
     142: q+1
     143: 1
     144: 1
     145: q+1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     151: 1
     152: 1
     153: 1
     154: 1
     162: 1
     163: 1
     164: 1
     165: 1
     166: 1
     167: q+1
     168: q+1
     169: 1
     170: q+1
     171: 1
     172: 1
     173: 1
     174: 1
     175: 1
     176: 1
     187: 1
     188: 1
     189: 1
     190: 1
     191: q+1
     192: 1
     193: 1
     194: q+1
     195: q+1
     196: 1
     197: 1
     198: 1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     219: 1
     220: 1
     221: 1
     222: 1
     223: 1
     224: 1
     225: 1
     226: 1
     227: 1
     228: 1
     239: 1
     240: 1
     241: 1
     242: 1
     243: 1
     244: 1
     245: q+1
     246: 1
     247: 1
     248: 1
     249: 1
     250: 1
     251: 1
     252: 1
     253: 1
     254: 1
     255: 1
     294: 1
     295: 1
     296: 1
     297: 1
     298: 1
     302: 1
     303: 1
     307: 1
     309: 1
     347: 1
     348: 1
     354: 1
     357: 1
     403: 1

404:   0: 3q+1
       1: 3q+1
       2: q^2+2q+1
       3: 3q+1
       4: q^2+2q+1
       5: q^2+2q+1
       6: 3q+1
       7: q^2+2q+1
       8: q+1
      10: q^2+2q+1
      11: q^3+2q^2+2q+1
      12: q^2+2q+1
      13: q+1
      16: q+1
      18: q+1
      26: 2q+1
      27: 2q+1
      28: q^2+2q+1
      29: q+1
      31: 3q+1
      32: 3q+1
      33: q^2+2q+1
      34: q+1
      36: 2q+1
      37: q+1
      38: 2q+1
      39: q+1
      41: 3q+1
      42: 3q+1
      43: q^2+2q+1
      44: q+1
      46: 2q+1
      47: 2q+1
      48: q+1
      49: q^2+2q+1
      53: q+1
      55: 2q+1
      56: 3q+1
      58: 2q+1
      59: 2q+1
      60: q+1
      66: 2q+1
      67: 2q+1
      68: q^2+2q+1
      69: q+1
      71: 2q+1
      72: q+1
      73: 2q+1
      74: q+1
      76: 2q+1
      77: 2q+1
      78: q+1
      79: q+1
      81: 2q+1
      82: 2q+1
      83: q+1
      84: q^2+2q+1
      86: 2q+1
      87: 2q+1
      88: q+1
      89: q^2+2q+1
      92: q+1
      95: q+1
      97: 2q+1
      99: q+1
     100: q+1
     102: 2q+1
     103: q+1
     105: 2q+1
     106: 2q+1
     108: 2q+1
     109: 2q+1
     110: q+1
     116: q+1
     117: q+1
     118: 1
     119: 1
     121: 2q+1
     122: 2q+1
     123: q+1
     124: q+1
     126: 1
     127: q+1
     128: 1
     129: q+1
     131: 2q+1
     132: 2q+1
     133: q+1
     134: q^2+2q+1
     139: 1
     140: 1
     142: q+1
     145: q+1
     146: q+1
     148: q+1
     149: 1
     151: q+1
     153: 2q+1
     154: 1
     155: q+1
     157: 2q+1
     158: 2q+1
     160: 2q+1
     161: q+1
     167: q+1
     168: 1
     169: q+1
     170: 1
     172: 1
     173: q+1
     174: 1
     175: q+1
     177: q+1
     178: q+1
     180: q+1
     182: 1
     183: q+1
     184: 1
     185: q+1
     191: 1
     194: 1
     195: 1
     196: q+1
     197: 1
     199: 1
     200: q+1
     202: 1
     205: 1
     208: q+1
     209: q+1
     210: q+1
     211: 1
     213: q+1
     214: 1
     216: 2q+1
     218: q+1
     229: 1
     230: 1
     232: 1
     234: 1
     235: q+1
     236: 1
     237: q+1
     245: 1
     247: 1
     248: 1
     255: 1
     257: 1
     259: 1
     262: q+1
     263: 1
     264: q+1
     265: 1
     266: q+1
     268: 1
     270: 1
     274: 1
     275: 1
     277: 1
     284: 1
     285: 1
     287: 1
     297: 1
     299: 1
     301: 1
     313: 1
     314: 1
     316: 1
     320: 1
     322: 1
     329: 1
     332: 1
     333: 1
     335: 1
     349: 1
     350: 1
     352: 1
     363: 1
     371: 1
     404: 1

405:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: 1
       5: q+1
       6: q+1
       7: q^2+q+1
       8: 1
       9: q+1
      10: q+1
      11: q^2+q+1
      12: q+1
      13: 1
      14: q+1
      15: q^2+q+1
      16: q+1
      17: q+1
      21: q+1
      22: q+1
      23: q^2+q+1
      24: q+1
      26: q+1
      27: q+1
      28: q^2+q+1
      29: q+1
      31: 1
      32: 1
      33: 1
      36: q+1
      37: 1
      38: q+1
      39: q+1
      40: q+1
      41: q+1
      42: q+1
      43: q+1
      44: 1
      45: q+1
      46: 1
      47: q+1
      48: 1
      49: q+1
      50: q+1
      52: q+1
      53: q+1
      54: q+1
      55: q+1
      56: 1
      57: q+1
      58: q+1
      59: 1
      60: 1
      61: q+1
      62: q+1
      63: q^2+q+1
      64: q+1
      66: 1
      67: 1
      68: 1
      71: 1
      72: 1
      73: 1
      76: q+1
      77: q+1
      78: 1
      79: q+1
      80: q+1
      81: 1
      82: q+1
      83: 1
      84: q+1
      85: q+1
      86: 1
      87: q+1
      88: 1
      89: q+1
      90: q+1
      93: q+1
      95: 1
      96: q+1
      97: 1
      98: q+1
      99: q+1
     100: 1
     101: q+1
     102: 1
     103: 1
     104: q+1
     105: q+1
     106: 1
     107: q+1
     108: q+1
     109: 1
     110: 1
     111: 1
     112: 1
     113: 1
     116: 1
     117: 1
     118: 1
     121: 1
     122: 1
     123: 1
     126: 1
     127: q+1
     128: 1
     129: q+1
     130: q+1
     131: 1
     132: q+1
     133: 1
     134: q+1
     135: q+1
     140: 1
     141: 1
     144: q+1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: q+1
     151: q+1
     152: q+1
     153: 1
     154: 1
     155: 1
     156: q+1
     157: q+1
     158: 1
     159: q+1
     160: 1
     161: 1
     162: 1
     163: 1
     164: 1
     167: 1
     168: 1
     169: 1
     177: 1
     178: 1
     180: 1
     181: 1
     182: 1
     183: q+1
     184: 1
     185: q+1
     186: q+1
     190: 1
     195: 1
     196: 1
     197: 1
     198: 1
     199: 1
     203: q+1
     204: 1
     207: 1
     208: 1
     209: 1
     210: 1
     211: 1
     212: q+1
     213: q+1
     214: 1
     215: q+1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     229: 1
     230: 1
     232: 1
     233: 1
     244: 1
     246: 1
     247: 1
     249: 1
     257: 1
     258: 1
     259: 1
     261: 1
     262: 1
     263: 1
     264: 1
     265: 1
     269: q+1
     271: 1
     272: 1
     274: 1
     275: 1
     277: 1
     278: 1
     298: 1
     299: 1
     300: 1
     301: 1
     313: 1
     317: 1
     319: 1
     320: 1
     321: 1
     323: 1
     349: 1
     353: 1
     364: 1
     372: 1
     405: 1

406:   0: 1
       1: 1
       3: 1
       4: 1
       5: q+1
       6: 1
       7: 1
       9: q+1
      10: q+1
      11: q+1
      12: q+1
      14: q+1
      15: q+1
      16: 1
      17: 1
      18: 1
      19: 1
      21: q+1
      22: q+1
      23: q+1
      24: 1
      25: 1
      26: 1
      27: 1
      28: 1
      29: 1
      31: 1
      32: 1
      33: 1
      34: 1
      35: 1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: q+1
      45: q+1
      46: 1
      47: 1
      49: q+1
      50: q+1
      51: 1
      52: 1
      53: 1
      54: q+1
      55: 1
      56: 1
      57: q+1
      58: 1
      59: 1
      61: 1
      62: 1
      63: 1
      64: 1
      66: 1
      67: 1
      68: 1
      69: 1
      73: 1
      74: 1
      75: 1
      77: 1
      79: 1
      80: 1
      81: 1
      82: 1
      84: q+1
      85: q+1
      86: 1
      87: 1
      89: q+1
      90: q+1
      92: 1
      93: 1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     101: 1
     102: 1
     104: q+1
     105: 1
     106: 1
     107: q+1
     108: 1
     109: 1
     111: 1
     112: 1
     113: 1
     114: 1
     122: 1
     124: 1
     125: 1
     127: 1
     129: 1
     130: 1
     131: 1
     132: 1
     134: q+1
     135: q+1
     137: 1
     141: 1
     142: 1
     143: 1
     144: 1
     147: 1
     150: 1
     151: 1
     152: 1
     153: 1
     156: q+1
     157: 1
     158: 1
     159: 1
     160: 1
     173: 1
     175: 1
     176: 1
     177: 1
     178: 1
     180: q+1
     181: q+1
     183: 1
     185: 1
     186: 1
     192: 1
     200: 1
     201: 1
     203: 1
     204: 1
     207: q+1
     208: 1
     209: 1
     212: 1
     213: 1
     215: 1
     216: 1
     217: 1
     230: 1
     232: 1
     233: 1
     235: 1
     237: 1
     238: 1
     250: 1
     258: 1
     259: 1
     261: 1
     262: 1
     266: 1
     267: 1
     269: 1
     271: 1
     275: 1
     277: 1
     278: 1
     285: 1
     287: 1
     288: 1
     300: 1
     301: 1
     314: 1
     315: 1
     317: 1
     319: 1
     324: 1
     333: 1
     335: 1
     336: 1
     350: 1
     351: 1
     353: 1
     365: 1
     406: 1

407:   1: q+1
       5: q+1
       6: q+1
       7: q+1
       9: q^2+2q+1
      10: q+1
      11: q+1
      12: 1
      14: q^2+2q+1
      15: q^2+2q+1
      16: 1
      17: q+1
      18: q+1
      19: 1
      20: 1
      21: q+1
      22: q+1
      23: q+1
      24: 1
      25: 1
      26: q+1
      27: q+1
      28: q+1
      29: 1
      30: 1
      34: 1
      35: 1
      38: 1
      39: 1
      40: q+1
      42: q+1
      43: q+1
      45: q^2+2q+1
      47: q+1
      49: q+1
      50: q^2+2q+1
      51: 1
      52: 1
      53: 1
      54: q+1
      55: q+1
      57: q+1
      58: q+1
      61: q+1
      62: q+1
      63: q+1
      64: 1
      65: 1
      69: 1
      70: 1
      74: 1
      75: 1
      77: 1
      79: 1
      80: q+1
      82: q+1
      84: q+1
      85: q^2+2q+1
      87: q+1
      89: q+1
      90: q^2+2q+1
      91: 1
      93: 1
      94: 1
      96: q+1
      98: 1
      99: 1
     101: q+1
     104: q+1
     105: q+1
     107: q+1
     108: q+1
     119: 1
     120: 1
     124: 1
     125: 1
     127: 1
     129: 1
     130: q+1
     132: q+1
     134: q+1
     135: q^2+2q+1
     138: 1
     143: 1
     144: 1
     150: 1
     151: 1
     152: q+1
     156: q+1
     157: q+1
     159: q+1
     170: 1
     171: 1
     175: 1
     176: 1
     178: q+1
     180: q+1
     181: q^2+2q+1
     183: 1
     185: 1
     186: q+1
     193: 1
     201: 1
     203: 1
     207: q+1
     208: q+1
     212: 1
     213: 1
     215: q+1
     227: 1
     228: 1
     230: 1
     232: 1
     233: q+1
     237: 1
     238: 1
     251: 1
     258: 1
     259: 1
     261: q+1
     267: 1
     269: 1
     275: 1
     277: 1
     278: q+1
     287: 1
     288: 1
     292: 1
     293: 1
     300: 1
     301: 1
     315: 1
     317: 1
     325: 1
     335: 1
     336: 1
     340: 1
     341: 1
     351: 1
     353: 1
     366: 1
     393: 1
     394: 1
     407: 1

408:   0: q+1
       1: q+1
       3: q+1
       4: q+1
       5: q+1
       6: q+1
       7: q+1
      10: q+1
      11: q+1
      12: q+1
      16: q+1
      18: q+1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      31: q+1
      32: q+1
      33: q+1
      34: q+1
      38: 1
      39: 1
      41: q+1
      42: q+1
      43: q+1
      46: q+1
      47: q+1
      49: q+1
      53: 1
      55: q+1
      56: q+1
      58: q+1
      59: q+1
      66: q+1
      67: q+1
      68: q+1
      69: q+1
      73: 1
      74: 1
      77: 1
      79: 1
      81: q+1
      82: q+1
      84: q+1
      86: q+1
      87: q+1
      89: q+1
      92: 1
      97: q+1
      99: 1
     102: q+1
     105: q+1
     106: q+1
     108: q+1
     109: q+1
     118: 1
     119: 1
     122: 1
     124: 1
     127: 1
     129: 1
     131: q+1
     132: q+1
     134: q+1
     139: 1
     142: 1
     151: 1
     153: q+1
     157: q+1
     158: q+1
     160: q+1
     168: 1
     170: 1
     173: 1
     175: 1
     177: q+1
     178: q+1
     180: q+1
     183: 1
     185: 1
     194: 1
     200: 1
     208: q+1
     209: q+1
     213: 1
     216: q+1
     225: 1
     227: 1
     230: 1
     232: 1
     235: 1
     237: 1
     252: 1
     259: 1
     262: q+1
     266: 1
     275: 1
     277: 1
     285: 1
     287: 1
     290: 1
     292: 1
     301: 1
     314: 1
     326: 1
     333: 1
     335: 1
     338: 1
     340: 1
     350: 1
     367: 1
     391: 1
     393: 1
     408: 1

409:   0: 3q^2+4q+1
       1: 3q+1
       2: q^3+3q^2+3q+1
       3: 3q^2+4q+1
       4: q^3+3q^2+3q+1
       5: 3q+1
       6: 3q+1
       7: q^2+2q+1
       8: q^2+2q+1
      10: 3q+1
      11: q^2+2q+1
      12: q^2+2q+1
      13: q^2+2q+1
      16: q^2+2q+1
      26: 3q+1
      27: 3q+1
      28: q^2+2q+1
      29: q^2+2q+1
      31: 3q+1
      32: 3q+1
      33: q^2+2q+1
      36: 2q^2+3q+1
      37: q^2+2q+1
      38: 2q+1
      39: 2q+1
      41: 3q^2+4q+1
      42: 3q+1
      43: 3q+1
      44: q^2+2q+1
      46: 2q^2+3q+1
      47: 2q+1
      48: q^2+2q+1
      49: 2q+1
      53: 2q+1
      55: 3q+1
      56: 3q+1
      58: 2q+1
      59: 2q+1
      60: q^2+2q+1
      66: 3q+1
      67: 3q+1
      68: q^2+2q+1
      71: 2q+1
      72: q+1
      73: 2q+1
      76: 2q^2+3q+1
      77: 2q+1
      78: q^2+2q+1
      79: 2q+1
      81: 2q^2+3q+1
      82: 2q+1
      83: q^2+2q+1
      84: 2q+1
      86: 2q^2+3q+1
      87: 2q+1
      88: q^2+2q+1
      89: 2q+1
      95: q+1
      97: 3q+1
      99: 2q+1
     100: q^2+2q+1
     102: 2q+1
     103: q+1
     105: 2q+1
     106: 2q+1
     108: 2q+1
     109: 2q+1
     110: q^2+2q+1
     116: 2q+1
     117: q+1
     118: 2q+1
     121: 2q+1
     122: 2q+1
     123: q+1
     126: q+1
     127: q+1
     128: q+1
     129: q+1
     131: 2q^2+3q+1
     132: 2q+1
     133: q^2+2q+1
     134: 2q+1
     140: q+1
     145: q+1
     146: q+1
     148: q+1
     149: 1
     151: q+1
     153: 2q+1
     154: q+1
     155: q^2+2q+1
     157: 2q+1
     158: 2q+1
     160: 2q+1
     161: q+1
     167: 2q+1
     168: 2q+1
     169: q+1
     172: 1
     173: q+1
     174: 1
     177: q^2+2q+1
     178: q+1
     180: q+1
     182: q+1
     183: q+1
     184: q+1
     185: q+1
     195: q+1
     196: q+1
     197: 1
     199: 1
     202: 1
     205: 1
     208: q+1
     209: q+1
     210: q+1
     211: 1
     213: q+1
     214: q+1
     216: 2q+1
     218: q+1
     224: 1
     225: q+1
     226: 1
     229: q+1
     230: 1
     232: 1
     234: 1
     235: q+1
     236: 1
     247: 1
     253: 1
     254: 1
     255: 1
     257: 1
     259: 1
     262: q+1
     263: 1
     264: q+1
     265: 1
     268: 1
     270: 1
     274: q+1
     275: 1
     277: 1
     284: 1
     285: 1
     289: 1
     290: q+1
     291: 1
     299: 1
     301: 1
     309: 1
     313: 1
     316: 1
     320: 1
     327: 1
     328: 1
     329: 1
     332: 1
     333: 1
     337: 1
     338: 1
     349: 1
     352: 1
     368: 1
     380: 1
     390: 1
     391: 1
     409: 1

410:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+1
       3: q+1
       4: q^2+2q+1
       6: q+1
       7: q^2+2q+1
       8: q^2+2q+1
      12: q+1
      13: q^3+2q^2+2q+1
      31: q^2+2q+1
      32: q+1
      33: q^2+2q+1
      36: q^2+2q+1
      37: q^2+2q+1
      38: q+1
      41: q+1
      42: q+1
      44: q^2+2q+1
      46: q^2+2q+1
      47: q^2+2q+1
      48: q^2+2q+1
      56: q+1
      59: q^2+2q+1
      60: q^2+2q+1
      71: q^2+2q+1
      72: q^2+2q+1
      73: q+1
      76: q+1
      77: q+1
      78: q^2+2q+1
      81: q+1
      82: q+1
      83: q^2+2q+1
      86: q+1
      87: q+1
      88: q+1
      95: q+1
     100: q+1
     103: q^2+2q+1
     106: q+1
     109: q+1
     110: q+1
     121: q+1
     122: q+1
     123: q^2+2q+1
     126: q+1
     127: q+1
     128: q^2+2q+1
     131: 1
     132: 1
     133: q+1
     145: q+1
     146: q+1
     149: q+1
     154: q+1
     155: 1
     158: 1
     161: q+1
     172: q+1
     173: q+1
     174: q^2+2q+1
     177: 1
     178: 1
     179: q+1
     182: 1
     183: 1
     184: q+1
     197: q+1
     202: q+1
     205: q+1
     206: 1
     209: 1
     210: 1
     211: 1
     214: 1
     229: 1
     230: 1
     231: q+1
     234: 1
     235: 1
     236: q+1
     255: q+1
     256: 1
     257: 1
     260: 1
     263: 1
     268: 1
     270: 1
     274: 1
     276: 1
     284: 1
     285: 1
     286: q+1
     310: 1
     311: 1
     316: 1
     318: 1
     329: 1
     332: 1
     334: 1
     360: 1
     370: 1
     385: 1
     387: 1
     410: 1

411:   0: 1
       1: 1
       2: 1
       3: q+1
       4: 1
       5: 1
       6: q+1
       7: 1
       8: 1
       9: 1
      10: q+1
      11: 1
      12: q+1
      14: q+1
      15: 1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      20: q+1
      21: 1
      22: q+1
      23: 1
      24: q+1
      25: q+1
      26: 1
      27: q+1
      28: 1
      29: q+1
      30: q+1
      31: 1
      32: q+1
      33: 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: 1
      45: 1
      46: 1
      47: 1
      48: 1
      49: 1
      50: 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: q+1
      63: 1
      64: q+1
      65: q+1
      66: 1
      67: q+1
      68: 1
      69: q+1
      70: q+1
      71: 1
      72: 1
      73: q+1
      74: q+1
      75: q+1
      76: 1
      77: 1
      79: 1
      80: 1
      81: 1
      82: 1
      84: 1
      85: 1
      91: q+1
      92: q+1
      93: q+1
      94: q+1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     111: 1
     112: q+1
     113: 1
     114: q+1
     115: q+1
     116: 1
     117: 1
     118: q+1
     119: q+1
     120: q+1
     121: 1
     122: 1
     124: 1
     125: 1
     126: 1
     127: 1
     129: 1
     130: 1
     136: q+1
     137: q+1
     138: q+1
     139: q+1
     140: 1
     141: 1
     142: 1
     143: 1
     144: 1
     145: 1
     147: 1
     148: 1
     149: 1
     150: 1
     151: 1
     152: 1
     153: 1
     162: 1
     163: 1
     164: q+1
     165: q+1
     166: q+1
     167: 1
     168: 1
     170: 1
     171: 1
     172: 1
     173: 1
     175: 1
     176: 1
     187: q+1
     188: q+1
     189: q+1
     190: 1
     191: 1
     192: 1
     193: 1
     194: 1
     195: 1
     198: 1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     219: 1
     220: 1
     222: 1
     223: 1
     224: 1
     225: 1
     227: 1
     228: 1
     239: q+1
     240: 1
     241: 1
     242: 1
     243: 1
     244: 1
     245: 1
     248: 1
     249: 1
     250: 1
     251: 1
     252: 1
     253: 1
     279: 1
     280: 1
     282: 1
     283: 1
     294: 1
     295: 1
     296: 1
     302: 1
     303: 1
     304: 1
     305: 1
     306: 1
     307: 1
     347: 1
     354: 1
     355: 1
     356: 1
     411: 1

412:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       5: 1
       6: q+1
       7: q+1
       8: q+1
       9: 1
      10: 1
      11: 1
      12: q+1
      13: q+1
      14: 1
      15: 1
      16: 1
      17: 1
      18: 1
      19: 1
      21: 1
      22: 1
      23: 1
      24: 1
      25: 1
      26: 1
      27: 1
      28: 1
      29: 1
      31: q+1
      32: q+1
      33: q+1
      34: 1
      35: 1
      36: q+1
      37: q+1
      38: q+1
      39: 1
      40: 1
      41: q+1
      42: q+1
      43: 1
      44: q+1
      45: 1
      46: q+1
      47: q+1
      48: q+1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: q+1
      57: 1
      58: 1
      59: q+1
      60: q+1
      61: 1
      62: 1
      63: 1
      64: 1
      66: 1
      67: 1
      68: 1
      69: 1
      71: q+1
      72: q+1
      73: q+1
      74: 1
      75: 1
      76: q+1
      77: q+1
      78: q+1
      79: 1
      80: 1
      81: q+1
      82: q+1
      83: q+1
      84: 1
      85: 1
      92: 1
      93: 1
      94: 1
      95: q+1
      96: 1
      97: 1
      98: 1
      99: 1
     100: q+1
     101: 1
     102: 1
     103: q+1
     104: 1
     105: 1
     106: q+1
     111: 1
     112: 1
     113: 1
     114: 1
     116: 1
     117: 1
     118: 1
     119: 1
     121: q+1
     122: q+1
     123: q+1
     124: 1
     125: 1
     126: q+1
     127: q+1
     128: q+1
     129: 1
     130: 1
     137: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: 1
     144: 1
     145: q+1
     146: q+1
     147: 1
     148: 1
     149: q+1
     150: 1
     151: 1
     152: 1
     153: 1
     154: q+1
     162: 1
     163: 1
     164: 1
     165: 1
     167: 1
     168: 1
     169: 1
     170: 1
     172: q+1
     173: q+1
     174: q+1
     175: 1
     176: 1
     189: 1
     190: 1
     191: 1
     192: 1
     194: 1
     195: 1
     196: 1
     197: q+1
     198: 1
     199: 1
     200: 1
     201: 1
     202: q+1
     203: 1
     204: 1
     205: q+1
     219: 1
     220: 1
     221: 1
     222: 1
     224: 1
     225: 1
     226: 1
     227: 1
     240: 1
     243: 1
     244: 1
     245: 1
     246: 1
     247: 1
     248: 1
     249: 1
     250: 1
     252: 1
     253: 1
     254: 1
     255: q+1
     279: 1
     280: 1
     281: 1
     282: 1
     296: 1
     297: 1
     298: 1
     302: 1
     305: 1
     306: 1
     307: 1
     308: 1
     309: 1
     348: 1
     356: 1
     357: 1
     358: 1
     412: 1

413:   0: q+1
       1: q^2+1
       2: q+1
       3: q+1
       4: q+1
       5: q^2+1
       6: q^2+1
       7: q^2+1
       8: q+1
      10: q^2+1
      11: q^2+1
      12: q^2+1
      13: q+1
      16: q^2+1
      26: q^2+1
      27: q^2+1
      28: q^2+1
      29: q^2+1
      31: 1
      32: 1
      33: 1
      36: q+1
      37: q+1
      38: q^2+1
      39: q^2+1
      41: q+1
      42: q^2+1
      43: q^2+1
      44: q+1
      46: q+1
      47: q^2+1
      48: q+1
      49: q^2+1
      53: q^2+1
      55: q^2+1
      56: 1
      58: q^2+1
      59: 1
      60: q+1
      66: 1
      67: 1
      68: 1
      71: 1
      72: 1
      73: 1
      76: q+1
      77: q^2+1
      78: q+1
      79: q^2+1
      81: q+1
      82: q^2+1
      83: q+1
      84: q^2+1
      86: 1
      87: 1
      88: 1
      89: 1
      95: 1
      97: 1
      99: q^2+1
     100: q+1
     102: 1
     103: 1
     105: q^2+1
     106: 1
     108: 1
     109: 1
     110: 1
     116: 1
     117: 1
     118: 1
     121: 1
     122: 1
     123: 1
     126: q+1
     127: q^2+1
     128: q+1
     129: q^2+1
     131: 1
     132: 1
     133: 1
     134: 1
     140: 1
     145: 1
     146: 1
     148: 1
     149: 1
     151: q^2+1
     153: 1
     154: q+1
     155: 1
     157: 1
     158: 1
     160: 1
     161: 1
     167: 1
     168: 1
     169: 1
     172: 1
     173: 1
     174: 1
     177: 1
     178: 1
     179: 1
     180: 1
     182: 1
     183: 1
     184: 1
     185: 1
     195: 1
     196: 1
     197: 1
     199: 1
     202: 1
     205: 1
     206: 1
     208: 1
     209: 1
     210: 1
     211: 1
     213: 1
     214: 1
     216: 1
     218: 1
     224: 1
     225: 1
     226: 1
     229: 1
     230: 1
     231: 1
     232: 1
     247: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     259: 1
     260: 1
     262: 1
     263: 1
     264: 1
     265: 1
     274: 1
     275: 1
     276: 1
     277: 1
     299: 1
     301: 1
     309: 1
     310: 1
     311: 1
     312: 1
     313: 1
     320: 1
     349: 1
     359: 1
     361: 1
     413: 1

414:   0: q+1
       1: q+1
       2: q^3+2q^2+2q+1
       3: q+1
       4: q+1
       5: q+1
       6: q+1
       7: q+1
       8: q^3+2q^2+2q+1
      10: q+1
      11: q+1
      13: q^3+2q^2+2q+1
      26: q+1
      27: q+1
      28: q+1
      31: q+1
      32: q+1
      33: q+1
      36: q+1
      37: q+1
      41: q+1
      42: q+1
      43: q+1
      44: q^3+2q^2+2q+1
      46: q+1
      47: q+1
      48: q^3+2q^2+2q+1
      49: q+1
      55: q+1
      56: q+1
      58: q+1
      59: q+1
      60: q+1
      66: q+1
      67: q+1
      68: q+1
      71: q+1
      72: q+1
      76: q+1
      78: q+1
      81: q+1
      82: q+1
      83: q^3+2q^2+2q+1
      84: q+1
      86: 1
      87: 1
      88: q^2+q+1
      89: 1
      97: q+1
     100: q+1
     102: q+1
     103: q+1
     105: q+1
     106: q+1
     108: 1
     109: 1
     110: 1
     116: q+1
     117: q+1
     121: q+1
     123: q+1
     126: q+1
     128: q+1
     131: 1
     132: 1
     133: q^2+q+1
     134: 1
     146: q+1
     148: q+1
     153: q+1
     154: q+1
     155: 1
     157: 1
     158: 1
     160: 1
     161: 1
     167: q+1
     169: q+1
     172: q+1
     174: q+1
     177: 1
     178: 1
     179: q^2+q+1
     180: 1
     182: 1
     184: 1
     196: q+1
     205: q+1
     206: 1
     208: 1
     209: 1
     210: 1
     214: 1
     216: 1
     218: 1
     224: q+1
     226: q+1
     229: 1
     231: 1
     234: 1
     236: 1
     254: q+1
     256: 1
     260: 1
     262: 1
     264: 1
     270: 1
     274: 1
     276: 1
     284: 1
     286: 1
     289: 1
     291: 1
     310: 1
     312: 1
     318: 1
     328: 1
     332: 1
     334: 1
     337: 1
     339: 1
     360: 1
     369: 1
     390: 1
     392: 1
     414: 1

415:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       6: q^2+2q+1
       7: q^2+2q+1
       8: q^2+2q+1
      12: q^3+q^2+q+1
      13: q^2+2q+1
      31: q^2+2q+1
      32: q^2+2q+1
      33: q^2+2q+1
      36: 2q+1
      37: 2q+1
      38: q^2+q+1
      41: q^2+2q+1
      42: q^2+2q+1
      44: q^2+2q+1
      46: q^2+2q+1
      47: q^2+2q+1
      48: q^2+2q+1
      56: q^2+2q+1
      59: q^2+2q+1
      60: 2q+1
      71: 2q+1
      72: 2q+1
      73: q^2+q+1
      76: 2q+1
      77: q^2+q+1
      78: 2q+1
      81: q^2+2q+1
      82: q^2+2q+1
      83: q^2+2q+1
      86: q+1
      87: q+1
      88: q+1
      95: q+1
     100: 2q+1
     103: 2q+1
     106: q^2+2q+1
     109: q+1
     110: q+1
     121: 2q+1
     122: q^2+q+1
     123: 2q+1
     126: 2q+1
     127: q^2+q+1
     128: 2q+1
     131: q+1
     132: q+1
     133: q+1
     145: q+1
     146: 2q+1
     149: q+1
     154: 2q+1
     155: q+1
     158: q+1
     161: q+1
     172: 2q+1
     173: q^2+q+1
     174: 2q+1
     177: q+1
     178: q+1
     179: q+1
     182: 1
     183: 1
     184: 1
     197: q+1
     202: q+1
     205: 2q+1
     206: q+1
     209: q+1
     210: q+1
     211: 1
     214: 1
     229: 1
     230: 1
     231: 1
     234: 1
     235: 1
     236: 1
     255: q+1
     256: q+1
     257: 1
     260: 1
     263: 1
     268: 1
     270: 1
     274: 1
     275: 1
     276: 1
     284: 1
     285: 1
     286: 1
     299: 1
     310: 1
     311: 1
     316: 1
     318: 1
     329: 1
     332: 1
     333: 1
     334: 1
     352: 1
     359: 1
     360: 1
     370: 1
     415: 1

416:   0: 3q+1
       1: 3q+1
       2: 3q+1
       3: q^2+2q+1
       4: 3q+1
       5: q^3+2q+1
       6: q^2+2q+1
       7: 3q+1
       8: 3q+1
      10: q+1
      11: q^3+2q+1
      12: q^2+2q+1
      13: q^2+2q+1
      16: q+1
      18: q+1
      26: 2q+1
      27: q+1
      28: 2q+1
      29: q+1
      31: 3q+1
      32: q^2+2q+1
      33: 3q+1
      34: q+1
      36: 3q+1
      37: 3q+1
      38: q^2+2q+1
      39: q+1
      41: 2q+1
      42: 2q+1
      43: q+1
      44: 2q+1
      46: 3q+1
      47: 3q+1
      48: 3q+1
      49: q^3+2q+1
      53: q+1
      55: q+1
      56: 2q+1
      58: 2q+1
      59: 3q+1
      60: 3q+1
      66: 2q+1
      67: q+1
      68: 2q+1
      69: q+1
      71: 3q+1
      72: 3q+1
      73: q^2+2q+1
      74: q+1
      76: 2q+1
      77: 2q+1
      78: 2q+1
      79: q+1
      81: 2q+1
      82: 2q+1
      83: 2q+1
      84: q+1
      86: q+1
      87: q+1
      88: q+1
      89: q+1
      92: q+1
      95: 2q+1
      97: q+1
      99: q+1
     100: q+1
     102: 2q+1
     103: 3q+1
     105: q+1
     106: 2q+1
     108: q+1
     109: q+1
     110: q+1
     116: 2q+1
     117: 2q+1
     118: q+1
     119: q+1
     121: 2q+1
     122: 2q+1
     123: 2q+1
     124: q+1
     126: 2q+1
     127: 2q+1
     128: 2q+1
     129: q+1
     131: 1
     132: 1
     133: 1
     134: 1
     139: q+1
     140: q+1
     142: q+1
     145: 2q+1
     146: q+1
     148: 2q+1
     149: 2q+1
     151: q+1
     153: q+1
     154: q+1
     155: 1
     157: 1
     158: 1
     160: q+1
     161: q+1
     167: 1
     168: 1
     169: q+1
     170: 1
     172: 2q+1
     173: 2q+1
     174: 2q+1
     175: q+1
     177: 1
     178: 1
     179: 1
     180: 1
     182: 1
     183: 1
     184: 1
     185: 1
     191: q+1
     194: 1
     195: 1
     196: 1
     197: q+1
     199: q+1
     200: q+1
     202: 2q+1
     205: q+1
     206: 1
     208: 1
     209: 1
     210: 1
     211: 1
     213: 1
     214: 1
     216: 1
     218: q+1
     224: 1
     225: 1
     226: q+1
     227: 1
     229: 1
     230: 1
     231: 1
     232: 1
     234: 1
     235: 1
     236: 1
     237: 1
     245: 1
     247: 1
     248: q+1
     252: 1
     253: 1
     254: 1
     255: q+1
     256: 1
     257: 1
     259: 1
     260: 1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     268: 1
     270: 1
     284: 1
     285: 1
     286: 1
     287: 1
     297: 1
     307: 1
     309: 1
     311: 1
     312: 1
     313: 1
     314: 1
     316: 1
     318: 1
     320: 1
     322: 1
     329: 1
     357: 1
     361: 1
     363: 1
     370: 1
     371: 1
     416: 1

417:   0: 3q+1
       1: q^2+2q+1
       2: 3q+1
       3: q^2+2q+1
       4: 3q+1
       5: q^2+2q+1
       6: q+1
       7: q^2+2q+1
       8: 3q+1
       9: q^2+2q+1
      10: q+1
      11: q^2+2q+1
      12: q+1
      13: q^2+2q+1
      14: q+1
      15: q^2+2q+1
      16: q+1
      17: q+1
      21: q^2+2q+1
      22: q+1
      23: q^2+2q+1
      24: q+1
      26: q^2+2q+1
      27: q+1
      28: q^2+2q+1
      29: q+1
      31: 2q+1
      32: q+1
      33: 2q+1
      36: 3q+1
      37: 3q+1
      38: q+1
      39: q+1
      40: q+1
      41: 2q+1
      42: q+1
      43: q+1
      44: 2q+1
      45: q+1
      46: 3q+1
      47: q^2+2q+1
      48: 3q+1
      49: q^2+2q+1
      50: q^2+2q+1
      52: q+1
      53: q+1
      54: q+1
      55: q+1
      56: q+1
      57: q^2+2q+1
      58: q^2+2q+1
      59: 2q+1
      60: 3q+1
      61: q^2+2q+1
      62: q+1
      63: q^2+2q+1
      64: q+1
      66: 2q+1
      67: q+1
      68: 2q+1
      71: 2q+1
      72: 2q+1
      73: q+1
      76: 2q+1
      77: q+1
      78: 2q+1
      79: q+1
      80: q+1
      81: 2q+1
      82: q+1
      83: 2q+1
      84: q+1
      85: q+1
      86: q+1
      87: q+1
      88: q+1
      89: q+1
      90: q+1
      93: q+1
      95: q+1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     100: q+1
     101: q^2+2q+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: 2q+1
     112: q+1
     113: 2q+1
     116: 2q+1
     117: 2q+1
     118: q+1
     121: 1
     122: 1
     123: q+1
     126: 2q+1
     127: q+1
     128: 2q+1
     129: q+1
     130: q+1
     131: 1
     132: 1
     133: 1
     134: 1
     135: 1
     140: q+1
     141: q+1
     144: q+1
     145: 1
     146: 1
     147: 2q+1
     148: 2q+1
     149: q+1
     150: q+1
     151: q+1
     152: q+1
     153: q+1
     154: q+1
     155: 1
     156: 1
     157: 1
     158: 1
     159: q+1
     160: q+1
     161: q+1
     162: 2q+1
     163: 2q+1
     164: q+1
     167: 1
     168: 1
     169: q+1
     172: 1
     173: 1
     174: q+1
     177: 1
     178: 1
     179: 1
     180: 1
     181: 1
     182: 1
     183: 1
     184: 1
     185: 1
     186: 1
     190: q+1
     195: 1
     196: 1
     197: 1
     198: 2q+1
     199: q+1
     202: 1
     203: q+1
     204: q+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: q+1
     218: q+1
     219: 1
     220: 1
     221: q+1
     224: 1
     225: 1
     226: q+1
     229: 1
     230: 1
     231: 1
     232: 1
     233: 1
     244: 1
     246: 1
     247: 1
     249: q+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
     269: 1
     271: 1
     272: q+1
     279: 1
     280: 1
     281: q+1
     298: 1
     306: 1
     308: 1
     309: 1
     311: 1
     312: 1
     313: 1
     317: 1
     319: 1
     320: 1
     321: 1
     323: 1
     358: 1
     361: 1
     362: 1
     364: 1
     372: 1
     417: 1

418:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       5: q^2+q+1
       6: q+1
       7: q+1
       8: q+1
       9: q^2+q+1
      10: 1
      11: q^2+q+1
      12: q+1
      14: 1
      15: q^2+q+1
      16: 1
      17: 1
      18: 1
      19: 1
      21: q^2+q+1
      22: 1
      23: q^2+q+1
      24: 1
      25: 1
      26: q+1
      27: 1
      28: q+1
      29: 1
      31: q+1
      32: q+1
      33: q+1
      34: 1
      35: 1
      36: q+1
      37: q+1
      38: q+1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      45: 1
      46: q+1
      47: q+1
      48: q+1
      49: q^2+q+1
      50: q^2+q+1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: q^2+q+1
      58: q+1
      59: q+1
      60: q+1
      61: q+1
      62: 1
      63: q+1
      64: 1
      66: q+1
      67: 1
      68: q+1
      69: 1
      71: q+1
      72: q+1
      73: q+1
      74: 1
      75: 1
      76: 1
      77: 1
      79: 1
      80: 1
      81: 1
      82: 1
      84: 1
      85: 1
      86: q+1
      87: q+1
      88: q+1
      89: q^2+q+1
      90: q^2+q+1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     101: q+1
     102: q+1
     103: q+1
     104: 1
     105: 1
     106: 1
     107: q^2+q+1
     108: q+1
     109: q+1
     110: q+1
     111: q+1
     112: 1
     113: q+1
     114: 1
     116: q+1
     117: q+1
     118: 1
     119: 1
     121: 1
     122: 1
     124: 1
     125: 1
     126: 1
     127: 1
     129: 1
     130: 1
     131: 1
     132: 1
     134: 1
     135: 1
     137: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: 1
     144: 1
     145: 1
     147: q+1
     148: q+1
     149: 1
     150: 1
     151: 1
     152: 1
     153: 1
     156: 1
     157: 1
     158: 1
     159: q+1
     160: q+1
     161: q+1
     162: q+1
     163: q+1
     164: 1
     165: 1
     172: 1
     173: 1
     175: 1
     176: 1
     177: 1
     178: 1
     180: 1
     181: 1
     182: 1
     183: 1
     185: 1
     186: 1
     189: 1
     190: 1
     191: 1
     192: 1
     198: q+1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     207: 1
     208: 1
     209: 1
     211: 1
     212: 1
     213: 1
     215: 1
     216: 1
     217: q+1
     218: q+1
     229: 1
     230: 1
     232: 1
     233: 1
     234: 1
     235: 1
     237: 1
     238: 1
     240: 1
     248: 1
     249: 1
     250: 1
     257: 1
     258: 1
     259: 1
     261: 1
     262: 1
     265: 1
     266: 1
     267: 1
     268: 1
     269: 1
     271: 1
     272: q+1
     284: 1
     285: 1
     287: 1
     288: 1
     302: 1
     313: 1
     314: 1
     315: 1
     316: 1
     317: 1
     319: 1
     322: 1
     323: 1
     324: 1
     363: 1
     364: 1
     365: 1
     373: 1
     418: 1

419:   0: q+1
       1: q+1
       3: 1
       4: q+1
       5: q+1
       6: 1
       7: q+1
       9: q^3+q^2+q+1
      10: 1
      11: q+1
      12: q+1
      14: q^2+1
      15: q^3+q^2+q+1
      16: q+1
      17: 1
      18: q+1
      19: 1
      20: 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
      31: q+1
      32: 1
      33: q+1
      34: q+1
      35: 1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      45: q^2+1
      46: q+1
      47: q+1
      49: q+1
      50: q^3+q^2+q+1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: q+1
      58: q+1
      59: q+1
      61: q+1
      62: 1
      63: q+1
      64: 1
      65: 1
      66: q+1
      67: 1
      68: q+1
      69: q+1
      70: 1
      73: 1
      74: 1
      75: 1
      77: 1
      79: 1
      80: 1
      81: 1
      82: 1
      84: 1
      85: q^2+1
      86: q+1
      87: q+1
      89: q+1
      90: q^3+q^2+q+1
      91: 1
      92: 1
      93: 1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     101: q+1
     102: q+1
     104: 1
     105: 1
     106: 1
     107: q+1
     108: q+1
     109: q+1
     111: q+1
     112: 1
     113: q+1
     114: 1
     115: 1
     118: 1
     119: 1
     120: 1
     122: 1
     124: 1
     125: 1
     127: 1
     129: 1
     130: 1
     131: 1
     132: 1
     134: 1
     135: q^2+1
     136: 1
     137: 1
     138: 1
     139: 1
     141: 1
     142: 1
     143: 1
     144: 1
     147: q+1
     150: 1
     151: 1
     152: 1
     153: 1
     156: 1
     157: 1
     158: 1
     159: q+1
     160: q+1
     168: 1
     170: 1
     171: 1
     173: 1
     175: 1
     176: 1
     177: 1
     178: 1
     180: 1
     181: q^2+1
     183: 1
     185: 1
     186: 1
     187: 1
     192: 1
     193: 1
     194: 1
     200: 1
     201: 1
     203: 1
     204: 1
     207: 1
     208: 1
     209: 1
     212: 1
     213: 1
     215: 1
     216: 1
     217: q+1
     225: 1
     227: 1
     228: 1
     230: 1
     232: 1
     233: 1
     235: 1
     237: 1
     238: 1
     241: 1
     250: 1
     251: 1
     252: 1
     258: 1
     259: 1
     261: 1
     262: 1
     266: 1
     267: 1
     269: 1
     271: 1
     285: 1
     287: 1
     288: 1
     290: 1
     292: 1
     293: 1
     303: 1
     314: 1
     315: 1
     317: 1
     319: 1
     324: 1
     325: 1
     326: 1
     338: 1
     340: 1
     341: 1
     365: 1
     366: 1
     367: 1
     374: 1
     419: 1

420:   1: q+1
       5: q+1
       6: 1
       7: q+1
       9: q+1
      10: 1
      11: q+1
      12: 1
      14: 1
      15: q+1
      16: 1
      17: 1
      18: q+1
      19: q+1
      20: q+1
      21: q+1
      22: 1
      23: q+1
      24: 1
      25: q+1
      26: q+1
      27: 1
      28: q+1
      29: 1
      30: q+1
      34: 1
      35: 1
      38: 1
      39: 1
      40: 1
      42: 1
      43: 1
      45: 1
      47: q+1
      49: q+1
      50: q+1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      57: q+1
      58: q+1
      61: q+1
      62: 1
      63: q+1
      64: 1
      65: q+1
      69: 1
      70: 1
      74: 1
      75: 1
      77: 1
      79: 1
      80: 1
      82: 1
      84: 1
      85: 1
      87: q+1
      89: q+1
      90: q+1
      91: 1
      93: 1
      94: 1
      96: 1
      98: 1
      99: 1
     101: q+1
     104: 1
     105: 1
     107: q+1
     108: q+1
     114: 1
     115: 1
     119: 1
     120: 1
     124: 1
     125: 1
     127: 1
     129: 1
     130: 1
     132: 1
     134: 1
     135: 1
     136: 1
     138: 1
     143: 1
     144: 1
     150: 1
     151: 1
     152: 1
     156: 1
     157: 1
     159: q+1
     165: 1
     166: 1
     170: 1
     171: 1
     175: 1
     176: 1
     178: 1
     180: 1
     181: 1
     183: 1
     185: 1
     186: 1
     188: 1
     193: 1
     201: 1
     203: 1
     207: 1
     208: 1
     212: 1
     213: 1
     215: 1
     222: 1
     223: 1
     227: 1
     228: 1
     230: 1
     232: 1
     233: 1
     237: 1
     238: 1
     242: 1
     251: 1
     258: 1
     259: 1
     261: 1
     267: 1
     269: 1
     282: 1
     283: 1
     287: 1
     288: 1
     292: 1
     293: 1
     304: 1
     315: 1
     317: 1
     325: 1
     340: 1
     341: 1
     345: 1
     346: 1
     366: 1
     375: 1
     398: 1
     399: 1
     420: 1

421:   0: q^2+2q+1
       1: q^2+2q+1
       3: q+1
       4: q^2+2q+1
       5: q+1
       6: q+1
       7: q^2+2q+1
       9: q+1
      10: 1
      11: q+1
      12: q^2+2q+1
      14: 1
      15: q+1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      21: q+1
      22: 1
      23: q+1
      24: q+1
      25: q+1
      26: q+1
      27: 1
      28: q+1
      29: q+1
      31: q^2+2q+1
      32: q+1
      33: q^2+2q+1
      34: q+1
      35: q+1
      38: q+1
      39: 1
      40: 1
      41: q+1
      42: q+1
      43: 1
      45: 1
      46: q^2+2q+1
      47: q^2+2q+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^2+2q+1
      61: q+1
      62: 1
      63: q+1
      64: q+1
      66: q+1
      67: 1
      68: q+1
      69: q+1
      73: q+1
      74: 1
      75: 1
      77: q+1
      79: 1
      80: 1
      81: q+1
      82: q+1
      84: 1
      85: 1
      86: q^2+2q+1
      87: q^2+2q+1
      89: q+1
      90: q+1
      92: 1
      93: 1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     101: q+1
     102: q+1
     104: 1
     105: 1
     106: q+1
     107: q+1
     108: q+1
     109: q^2+2q+1
     111: q+1
     112: 1
     113: q+1
     114: q+1
     118: 1
     119: 1
     122: q+1
     124: 1
     125: 1
     127: q+1
     129: 1
     130: 1
     131: q+1
     132: q+1
     134: 1
     135: 1
     137: 1
     139: 1
     141: 1
     142: 1
     143: 1
     144: 1
     147: q+1
     150: 1
     151: 1
     152: 1
     153: 1
     156: 1
     157: 1
     158: q+1
     159: q+1
     160: q+1
     164: 1
     165: 1
     168: 1
     170: 1
     173: q+1
     175: 1
     176: 1
     177: q+1
     178: q+1
     180: 1
     181: 1
     183: q+1
     185: 1
     186: 1
     189: 1
     192: 1
     194: 1
     200: 1
     201: 1
     203: 1
     204: 1
     207: 1
     208: 1
     209: q+1
     212: 1
     213: 1
     215: 1
     216: 1
     217: q+1
     220: 1
     222: 1
     225: 1
     227: 1
     230: q+1
     232: 1
     233: 1
     235: q+1
     237: 1
     238: 1
     243: 1
     250: 1
     252: 1
     258: 1
     259: 1
     261: 1
     262: 1
     266: 1
     267: 1
     269: 1
     271: 1
     280: 1
     282: 1
     285: q+1
     287: 1
     288: 1
     290: 1
     292: 1
     305: 1
     314: 1
     315: 1
     317: 1
     319: 1
     324: 1
     326: 1
     338: 1
     340: 1
     343: 1
     345: 1
     365: 1
     367: 1
     376: 1
     396: 1
     398: 1
     421: 1

422:   0: q^2+2q+1
       1: q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: q+1
       6: q+1
       7: q+1
       8: q^2+2q+1
       9: q+1
      10: q+1
      11: q+1
      12: q+1
      14: q+1
      15: q+1
      16: q+1
      17: q+1
      21: q+1
      22: q+1
      23: q+1
      24: q+1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      31: q+1
      32: q+1
      33: q+1
      36: q^2+2q+1
      37: q^2+2q+1
      38: q+1
      39: q+1
      40: q+1
      41: q+1
      42: 1
      43: 1
      45: 1
      46: q^2+2q+1
      47: q+1
      48: q^2+2q+1
      49: q+1
      50: q+1
      52: q+1
      53: q+1
      54: 1
      55: 1
      56: 1
      57: q+1
      58: q+1
      59: q+1
      60: q^2+2q+1
      61: q+1
      62: q+1
      63: q+1
      64: q+1
      66: q+1
      67: q+1
      68: q+1
      71: q+1
      72: q+1
      73: q+1
      76: q+1
      77: 1
      79: 1
      80: 1
      81: q+1
      82: 1
      84: 1
      85: 1
      86: q^2+2q+1
      87: q+1
      88: q^2+2q+1
      89: q+1
      90: q+1
      93: q+1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     101: q+1
     102: q+1
     103: q+1
     104: 1
     105: 1
     106: 1
     107: q+1
     108: q+1
     109: q+1
     110: q^2+2q+1
     111: q+1
     112: q+1
     113: q+1
     116: q+1
     117: q+1
     118: q+1
     121: 1
     122: 1
     126: q+1
     127: 1
     129: 1
     130: 1
     131: q+1
     132: 1
     134: 1
     135: 1
     140: 1
     141: 1
     144: 1
     145: 1
     147: q+1
     148: q+1
     149: 1
     150: 1
     151: 1
     152: 1
     153: 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
     167: 1
     168: 1
     172: 1
     173: 1
     177: q+1
     178: 1
     180: 1
     181: 1
     182: q+1
     183: 1
     185: 1
     186: 1
     190: 1
     195: 1
     198: q+1
     199: 1
     202: 1
     203: 1
     204: 1
     207: 1
     208: 1
     209: 1
     211: 1
     212: 1
     213: 1
     215: 1
     216: 1
     217: q+1
     218: q+1
     219: 1
     220: 1
     224: 1
     225: 1
     229: q+1
     230: 1
     232: 1
     233: 1
     234: 1
     235: 1
     244: 1
     249: 1
     253: 1
     257: 1
     258: 1
     259: 1
     261: 1
     262: 1
     265: 1
     268: 1
     269: 1
     271: 1
     272: q+1
     279: 1
     280: 1
     284: 1
     285: 1
     289: 1
     290: 1
     306: 1
     313: 1
     316: 1
     317: 1
     319: 1
     323: 1
     327: 1
     337: 1
     338: 1
     342: 1
     343: 1
     364: 1
     368: 1
     377: 1
     395: 1
     396: 1
     422: 1

423:   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
      10: q+1
      11: q+1
      12: q+1
      16: q+1
      18: q+1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      31: q+1
      32: q+1
      33: q+1
      34: q+1
      36: q+1
      37: q+1
      38: q+1
      39: q+1
      41: 1
      42: 1
      43: 1
      46: q+1
      47: q+1
      48: q+1
      49: q+1
      53: q+1
      55: 1
      56: 1
      58: q+1
      59: q+1
      60: q+1
      66: q+1
      67: q+1
      68: q+1
      69: q+1
      71: q+1
      72: q+1
      73: q+1
      74: q+1
      76: 1
      77: 1
      79: 1
      81: 1
      82: 1
      84: 1
      86: q+1
      87: q+1
      88: q+1
      89: q+1
      92: q+1
      95: 1
      97: 1
      99: 1
     102: q+1
     103: q+1
     105: 1
     106: 1
     108: q+1
     109: q+1
     110: q+1
     116: q+1
     117: q+1
     118: q+1
     119: q+1
     121: 1
     122: 1
     124: 1
     126: 1
     127: 1
     129: 1
     131: 1
     132: 1
     134: 1
     139: q+1
     140: 1
     142: 1
     145: 1
     148: q+1
     149: 1
     151: 1
     153: 1
     157: 1
     158: 1
     160: q+1
     161: q+1
     167: 1
     168: 1
     170: 1
     172: 1
     173: 1
     175: 1
     177: 1
     178: 1
     180: 1
     182: 1
     183: 1
     185: 1
     191: 1
     194: 1
     195: 1
     199: 1
     200: 1
     202: 1
     208: 1
     209: 1
     211: 1
     213: 1
     216: 1
     218: q+1
     224: 1
     225: 1
     227: 1
     229: 1
     230: 1
     232: 1
     234: 1
     235: 1
     237: 1
     245: 1
     248: 1
     252: 1
     253: 1
     257: 1
     259: 1
     262: 1
     265: 1
     266: 1
     268: 1
     284: 1
     285: 1
     287: 1
     289: 1
     290: 1
     292: 1
     307: 1
     313: 1
     314: 1
     316: 1
     322: 1
     326: 1
     327: 1
     337: 1
     338: 1
     340: 1
     363: 1
     367: 1
     368: 1
     378: 1
     423: 1

424:   0: 2q+1
       1: 2q+1
       2: 2q^2+3q+1
       3: q^2+q+1
       4: 2q+1
       5: 2q+1
       6: q^2+q+1
       7: 2q+1
       8: 2q^2+3q+1
       9: 2q+1
      10: q^2+q+1
      11: 2q+1
      13: q^3+2q^2+2q+1
      14: q^2+q+1
      15: 2q+1
      21: 2q+1
      22: q^2+q+1
      23: 2q+1
      26: 2q+1
      27: q^2+q+1
      28: 2q+1
      31: 2q+1
      32: q^2+q+1
      33: 2q+1
      36: 2q+1
      37: 2q+1
      41: q+1
      42: q+1
      43: q+1
      44: q^2+2q+1
      45: q+1
      46: 2q+1
      47: 2q+1
      48: 2q^2+3q+1
      49: 2q+1
      50: 2q+1
      54: q+1
      55: q+1
      56: q+1
      57: 2q+1
      58: 2q+1
      59: 2q+1
      60: 2q+1
      61: 2q+1
      62: q^2+q+1
      63: 2q+1
      66: 2q+1
      67: q^2+q+1
      68: 2q+1
      71: 2q+1
      72: 2q+1
      76: q+1
      78: q+1
      81: q+1
      82: q+1
      83: q^2+2q+1
      84: q+1
      85: q+1
      86: q+1
      87: q+1
      88: q^2+2q+1
      89: q+1
      90: q+1
      96: q+1
      97: q+1
     100: 1
     101: 2q+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: 2q+1
     112: q^2+q+1
     113: 2q+1
     116: 2q+1
     117: 2q+1
     121: q+1
     123: q+1
     126: q+1
     128: q+1
     131: 1
     132: 1
     133: q+1
     134: 1
     135: 1
     141: q+1
     146: 1
     147: 2q+1
     148: 2q+1
     152: q+1
     153: q+1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     159: q+1
     160: q+1
     161: q+1
     162: 2q+1
     163: 2q+1
     167: q+1
     169: q+1
     172: q+1
     174: q+1
     177: 1
     178: 1
     179: q+1
     180: 1
     181: 1
     182: 1
     184: 1
     196: 1
     198: 2q+1
     204: q+1
     205: 1
     206: 1
     207: 1
     208: 1
     209: 1
     210: 1
     214: 1
     215: 1
     216: 1
     217: q+1
     218: q+1
     219: q+1
     221: q+1
     224: q+1
     226: q+1
     229: 1
     231: 1
     234: 1
     236: 1
     246: 1
     254: 1
     256: 1
     260: 1
     261: 1
     262: 1
     264: 1
     270: 1
     271: 1
     272: q+1
     279: q+1
     281: q+1
     284: 1
     286: 1
     289: 1
     291: 1
     308: 1
     312: 1
     318: 1
     319: 1
     321: 1
     328: 1
     337: 1
     339: 1
     342: 1
     344: 1
     362: 1
     369: 1
     379: 1
     395: 1
     397: 1
     424: 1

425:   0: 2q^2+3q+1
       1: 2q+1
       2: 2q^2+3q+1
       3: q^3+2q^2+2q+1
       4: 2q^2+3q+1
       5: 2q+1
       6: q^2+q+1
       7: 2q+1
       8: 2q^2+3q+1
      10: q^2+q+1
      11: 2q+1
      12: q^2+q+1
      13: q^3+2q^2+2q+1
      16: q^2+q+1
      26: 2q+1
      27: q^2+q+1
      28: 2q+1
      29: q^2+q+1
      31: 2q+1
      32: q^2+q+1
      33: 2q+1
      36: 2q^2+3q+1
      37: 2q^2+3q+1
      38: q^2+q+1
      39: q^2+q+1
      41: q^2+2q+1
      42: q+1
      43: q+1
      44: q^2+2q+1
      46: 2q^2+3q+1
      47: 2q+1
      48: 2q^2+3q+1
      49: 2q+1
      53: q^2+q+1
      55: q+1
      56: q+1
      58: 2q+1
      59: 2q+1
      60: 2q^2+3q+1
      66: 2q+1
      67: q^2+q+1
      68: 2q+1
      71: 2q+1
      72: 2q+1
      73: q^2+q+1
      76: q^2+2q+1
      77: q+1
      78: q^2+2q+1
      79: q+1
      81: q^2+2q+1
      82: q+1
      83: q^2+2q+1
      84: q+1
      86: q^2+2q+1
      87: q+1
      88: q^2+2q+1
      89: q+1
      95: q+1
      97: q+1
      99: q+1
     100: q+1
     102: 2q+1
     103: 2q+1
     105: q+1
     106: q+1
     108: q+1
     109: q+1
     110: q^2+2q+1
     116: 2q+1
     117: 2q+1
     118: q^2+q+1
     121: q+1
     122: q+1
     123: q+1
     126: q^2+2q+1
     127: q+1
     128: q^2+2q+1
     129: q+1
     131: q+1
     132: 1
     133: q+1
     134: 1
     140: q+1
     145: q+1
     146: 1
     148: 2q+1
     149: q+1
     151: q+1
     153: q+1
     154: q+1
     155: q+1
     157: 1
     158: 1
     160: q+1
     161: q+1
     167: q+1
     168: q+1
     169: q+1
     172: q+1
     173: q+1
     174: q+1
     177: q+1
     178: 1
     179: q+1
     180: 1
     182: q+1
     183: 1
     184: q+1
     185: 1
     195: q+1
     196: 1
     197: 1
     199: q+1
     202: q+1
     205: 1
     206: q+1
     208: 1
     209: 1
     210: 1
     211: 1
     213: 1
     214: q+1
     216: 1
     218: q+1
     224: q+1
     225: q+1
     226: q+1
     229: q+1
     230: 1
     231: q+1
     232: 1
     234: 1
     235: 1
     236: 1
     247: 1
     253: q+1
     254: 1
     255: 1
     256: 1
     257: 1
     259: 1
     260: q+1
     262: 1
     263: 1
     264: 1
     265: 1
     268: 1
     270: 1
     284: 1
     285: 1
     286: 1
     289: 1
     290: 1
     291: 1
     309: 1
     311: 1
     312: 1
     313: 1
     316: 1
     318: 1
     320: 1
     327: 1
     328: 1
     329: 1
     337: 1
     338: 1
     339: 1
     361: 1
     368: 1
     369: 1
     370: 1
     380: 1
     425: 1

426:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       5: 1
       6: q+1
       7: q+1
       8: q+1
       9: 1
      10: 1
      11: q^3+q+1
      12: q+1
      13: q+1
      14: 1
      15: q^3+q+1
      16: 1
      17: 1
      18: 1
      19: 1
      21: 1
      22: 1
      23: q^3+q+1
      24: 1
      25: 1
      26: 1
      27: 1
      28: q+1
      29: 1
      31: q+1
      32: q+1
      33: q+1
      34: 1
      35: 1
      36: q+1
      37: q+1
      38: q+1
      39: 1
      40: 1
      41: q+1
      42: q+1
      43: 1
      44: q+1
      45: 1
      46: 1
      47: 1
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: q+1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: 1
      63: q+1
      64: 1
      66: 1
      67: 1
      68: q+1
      69: 1
      71: q+1
      72: q+1
      73: q+1
      74: 1
      75: 1
      76: q+1
      77: q+1
      78: q+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
      92: 1
      93: 1
      94: 1
      95: q+1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: 1
     109: 1
     110: 1
     111: 1
     112: 1
     113: q+1
     114: 1
     116: 1
     117: q+1
     118: 1
     119: 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
     137: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: 1
     144: 1
     145: q+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: q+1
     164: 1
     165: 1
     167: 1
     168: 1
     169: q+1
     170: 1
     172: 1
     173: 1
     174: 1
     175: 1
     176: 1
     182: 1
     183: 1
     184: 1
     185: 1
     186: 1
     189: 1
     190: 1
     191: 1
     192: 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
     210: 1
     211: 1
     212: 1
     213: 1
     214: 1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: q+1
     222: 1
     234: 1
     235: 1
     236: 1
     237: 1
     238: 1
     240: 1
     243: 1
     244: 1
     245: 1
     246: 1
     247: 1
     248: 1
     249: 1
     250: 1
     255: 1
     263: 1
     264: 1
     265: 1
     266: 1
     267: 1
     268: 1
     269: 1
     270: 1
     271: 1
     272: 1
     296: 1
     297: 1
     298: 1
     302: 1
     320: 1
     321: 1
     322: 1
     323: 1
     324: 1
     329: 1
     348: 1
     371: 1
     372: 1
     373: 1
     426: 1

427:   0: 1
       1: 1
       2: 1
       3: q+1
       4: q+1
       5: 1
       6: q+1
       7: q+1
       8: q+1
       9: q^3+1
      10: q+1
      11: q+1
      12: q+1
      14: 1
      15: q^4+q^3+q+1
      16: q+1
      17: 1
      18: q+1
      19: 1
      20: 1
      21: 1
      22: 1
      23: q+1
      24: 1
      25: 1
      26: 1
      27: q+1
      28: q+1
      29: q+1
      30: 1
      31: 1
      32: q+1
      33: q+1
      34: q+1
      35: 1
      36: 1
      37: q+1
      38: q+1
      39: q+1
      40: 1
      41: 1
      42: 1
      43: 1
      45: 1
      46: 1
      47: 1
      48: 1
      49: 1
      50: q^3+1
      51: 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: q+1
      64: 1
      65: 1
      66: 1
      67: q+1
      68: q+1
      69: q+1
      70: 1
      71: 1
      72: q+1
      73: q+1
      74: q+1
      75: 1
      76: 1
      77: 1
      79: 1
      80: 1
      81: 1
      82: 1
      84: 1
      85: 1
      86: 1
      87: 1
      88: 1
      89: 1
      90: q^3+1
      91: 1
      92: q+1
      93: 1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 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: q+1
     119: q+1
     120: 1
     121: 1
     122: 1
     124: 1
     125: 1
     126: 1
     127: 1
     129: 1
     130: 1
     131: 1
     132: 1
     134: 1
     135: 1
     136: 1
     137: 1
     138: 1
     139: q+1
     140: 1
     141: 1
     142: 1
     143: 1
     144: 1
     145: 1
     147: 1
     148: 1
     149: 1
     150: 1
     151: 1
     152: 1
     153: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     161: 1
     162: 1
     163: q+1
     164: 1
     165: 1
     166: 1
     167: 1
     168: 1
     170: 1
     171: 1
     172: 1
     173: 1
     175: 1
     176: 1
     182: 1
     183: 1
     185: 1
     186: 1
     187: 1
     188: 1
     189: 1
     190: 1
     191: 1
     192: 1
     193: 1
     194: 1
     195: 1
     198: 1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     211: 1
     212: 1
     213: 1
     215: 1
     216: 1
     217: 1
     218: 1
     224: 1
     225: 1
     227: 1
     228: 1
     234: 1
     235: 1
     237: 1
     238: 1
     239: 1
     240: 1
     241: 1
     245: 1
     248: 1
     249: 1
     250: 1
     251: 1
     252: 1
     253: 1
     265: 1
     266: 1
     267: 1
     268: 1
     269: 1
     271: 1
     272: 1
     289: 1
     290: 1
     292: 1
     293: 1
     294: 1
     302: 1
     303: 1
     307: 1
     322: 1
     323: 1
     324: 1
     325: 1
     326: 1
     327: 1
     354: 1
     373: 1
     374: 1
     378: 1
     427: 1

428:   0: 1
       1: 1
       3: 1
       4: q+1
       5: 1
       6: 1
       7: q+1
       9: 1
      10: 1
      11: q+1
      12: q+1
      14: 1
      15: q+1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      20: q+1
      21: 1
      22: 1
      23: q+1
      24: q+1
      25: q+1
      26: 1
      27: 1
      28: q+1
      29: q+1
      30: q+1
      31: 1
      32: 1
      33: q+1
      34: q+1
      35: q+1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      45: 1
      46: 1
      47: 1
      49: 1
      50: 1
      51: q+1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      61: 1
      62: 1
      63: q+1
      64: q+1
      65: q+1
      66: 1
      67: 1
      68: q+1
      69: q+1
      70: q+1
      73: 1
      74: 1
      75: 1
      77: 1
      79: 1
      80: 1
      81: 1
      82: 1
      84: 1
      85: 1
      86: 1
      87: 1
      89: 1
      90: 1
      91: q+1
      92: 1
      93: 1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     101: 1
     102: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: 1
     109: 1
     111: 1
     112: 1
     113: q+1
     114: q+1
     115: q+1
     118: 1
     119: 1
     120: 1
     122: 1
     124: 1
     125: 1
     127: 1
     129: 1
     130: 1
     131: 1
     132: 1
     134: 1
     135: 1
     136: q+1
     137: 1
     138: 1
     139: 1
     141: 1
     142: 1
     143: 1
     144: 1
     147: 1
     150: 1
     151: 1
     152: 1
     153: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     164: 1
     165: 1
     166: 1
     168: 1
     170: 1
     171: 1
     173: 1
     175: 1
     176: 1
     183: 1
     185: 1
     186: 1
     187: 1
     188: 1
     189: 1
     192: 1
     193: 1
     194: 1
     200: 1
     201: 1
     203: 1
     204: 1
     212: 1
     213: 1
     215: 1
     216: 1
     217: 1
     220: 1
     222: 1
     223: 1
     225: 1
     227: 1
     228: 1
     235: 1
     237: 1
     238: 1
     239: 1
     241: 1
     242: 1
     243: 1
     250: 1
     251: 1
     252: 1
     266: 1
     267: 1
     269: 1
     271: 1
     280: 1
     282: 1
     283: 1
     290: 1
     292: 1
     293: 1
     295: 1
     303: 1
     304: 1
     305: 1
     324: 1
     325: 1
     326: 1
     343: 1
     345: 1
     346: 1
     355: 1
     374: 1
     375: 1
     376: 1
     428: 1

429:   0: q+1
       1: q+1
       2: q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: 1
       6: q^2+2q+1
       7: q^2+2q+1
       8: q^2+2q+1
       9: 1
      10: q+1
      11: q+1
      12: q^2+2q+1
      14: q+1
      15: q+1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      21: 1
      22: q+1
      23: q+1
      24: q+1
      25: q+1
      26: 1
      27: q+1
      28: q+1
      29: q+1
      31: q+1
      32: q^2+2q+1
      33: q^2+2q+1
      34: q+1
      35: q+1
      36: q+1
      37: q^2+2q+1
      38: q^2+2q+1
      39: q+1
      40: q+1
      41: q+1
      42: q+1
      43: 1
      45: 1
      46: q+1
      47: q+1
      48: q+1
      49: 1
      50: 1
      51: q+1
      52: q+1
      53: q+1
      54: 1
      55: 1
      56: q+1
      57: 1
      58: 1
      59: q+1
      60: q+1
      61: 1
      62: q+1
      63: q+1
      64: q+1
      66: 1
      67: q+1
      68: q+1
      69: q+1
      71: q+1
      72: q^2+2q+1
      73: q^2+2q+1
      74: q+1
      75: q+1
      76: q+1
      77: q+1
      79: 1
      80: 1
      81: q+1
      82: q+1
      84: 1
      85: 1
      86: q+1
      87: q+1
      88: q+1
      89: 1
      90: 1
      92: q+1
      93: q+1
      94: q+1
      95: q+1
      96: 1
      97: 1
      98: 1
      99: 1
     101: 1
     102: 1
     103: q+1
     104: 1
     105: 1
     106: q+1
     107: 1
     108: 1
     109: q+1
     110: q+1
     111: 1
     112: q+1
     113: q+1
     114: q+1
     116: 1
     117: q+1
     118: q+1
     119: q+1
     121: q+1
     122: q+1
     124: 1
     125: 1
     126: q+1
     127: q+1
     129: 1
     130: 1
     131: q+1
     132: q+1
     134: 1
     135: 1
     137: q+1
     139: q+1
     140: 1
     141: 1
     142: 1
     143: 1
     144: 1
     145: q+1
     147: 1
     148: 1
     149: q+1
     150: 1
     151: 1
     152: 1
     153: 1
     156: 1
     157: 1
     158: q+1
     159: 1
     160: 1
     161: q+1
     162: 1
     163: q+1
     164: q+1
     165: q+1
     167: 1
     168: 1
     170: 1
     172: q+1
     173: q+1
     175: 1
     176: 1
     182: q+1
     183: q+1
     185: 1
     186: 1
     189: q+1
     190: 1
     191: 1
     192: 1
     194: 1
     195: 1
     198: 1
     199: 1
     200: 1
     201: 1
     202: q+1
     203: 1
     204: 1
     211: q+1
     212: 1
     213: 1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     222: 1
     224: 1
     225: 1
     227: 1
     234: q+1
     235: q+1
     237: 1
     238: 1
     240: 1
     243: 1
     244: 1
     245: 1
     248: 1
     249: 1
     250: 1
     252: 1
     253: 1
     265: 1
     266: 1
     267: 1
     268: q+1
     269: 1
     271: 1
     272: 1
     279: 1
     280: 1
     282: 1
     289: 1
     290: 1
     292: 1
     296: 1
     302: 1
     305: 1
     306: 1
     307: 1
     322: 1
     323: 1
     324: 1
     326: 1
     327: 1
     342: 1
     343: 1
     345: 1
     356: 1
     373: 1
     376: 1
     377: 1
     378: 1
     429: 1

430:   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
      10: q+1
      11: q+1
      12: q+1
      13: q+1
      16: q+1
      18: q+1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      31: q+1
      32: q+1
      33: q+1
      34: q+1
      36: q+1
      37: q+1
      38: q+1
      39: q+1
      41: q+1
      42: q+1
      43: q+1
      44: q+1
      46: 1
      47: 1
      48: 1
      49: 1
      53: q+1
      55: q+1
      56: q+1
      58: 1
      59: 1
      60: 1
      66: q+1
      67: q+1
      68: q+1
      69: q+1
      71: q+1
      72: q+1
      73: q+1
      74: q+1
      76: q+1
      77: q+1
      78: q+1
      79: q+1
      81: 1
      82: 1
      83: 1
      84: 1
      86: 1
      87: 1
      88: 1
      89: 1
      92: q+1
      95: q+1
      97: q+1
      99: q+1
     100: 1
     102: 1
     103: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: 1
     116: q+1
     117: q+1
     118: q+1
     119: q+1
     121: q+1
     122: q+1
     123: q+1
     124: q+1
     126: 1
     127: 1
     128: 1
     129: 1
     131: 1
     132: 1
     133: 1
     134: 1
     139: q+1
     140: q+1
     142: q+1
     145: q+1
     146: 1
     148: 1
     149: 1
     151: 1
     153: 1
     154: 1
     155: 1
     157: 1
     158: 1
     160: 1
     161: 1
     167: q+1
     168: q+1
     169: q+1
     170: q+1
     172: 1
     173: 1
     174: 1
     175: 1
     182: 1
     183: 1
     184: 1
     185: 1
     191: q+1
     194: q+1
     195: q+1
     196: 1
     197: 1
     199: 1
     200: 1
     202: 1
     205: 1
     210: 1
     211: 1
     213: 1
     214: 1
     216: 1
     218: 1
     224: 1
     225: 1
     226: 1
     227: 1
     234: 1
     235: 1
     236: 1
     237: 1
     245: q+1
     247: 1
     248: 1
     252: 1
     253: 1
     254: 1
     255: 1
     263: 1
     264: 1
     265: 1
     266: 1
     268: 1
     270: 1
     289: 1
     290: 1
     291: 1
     292: 1
     297: 1
     307: 1
     309: 1
     320: 1
     322: 1
     326: 1
     327: 1
     328: 1
     329: 1
     357: 1
     371: 1
     378: 1
     380: 1
     430: 1

431:   0: q^2+2q+1
       1: q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: q+1
       6: q+1
       7: q+1
       8: q^2+2q+1
       9: q+1
      10: q+1
      11: q+1
      12: q+1
      13: q^2+2q+1
      14: q+1
      15: q+1
      16: q+1
      17: q+1
      21: q+1
      22: q+1
      23: q+1
      24: q+1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      31: q+1
      32: q+1
      33: q+1
      36: q^2+2q+1
      37: q^2+2q+1
      38: q+1
      39: q+1
      40: q+1
      41: q^2+2q+1
      42: q+1
      43: q+1
      44: q^2+2q+1
      45: q+1
      46: q+1
      47: 1
      48: q+1
      49: 1
      50: 1
      52: q+1
      53: q+1
      54: q+1
      55: q+1
      56: q+1
      57: 1
      58: 1
      59: 1
      60: q+1
      61: q+1
      62: q+1
      63: q+1
      64: q+1
      66: q+1
      67: q+1
      68: q+1
      71: q+1
      72: q+1
      73: q+1
      76: q^2+2q+1
      77: q+1
      78: q^2+2q+1
      79: q+1
      80: q+1
      81: q+1
      82: 1
      83: q+1
      84: 1
      85: 1
      86: q+1
      87: 1
      88: q+1
      89: 1
      90: 1
      93: q+1
      95: q+1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     100: q+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: q+1
     113: q+1
     116: q+1
     117: q+1
     118: q+1
     121: q+1
     122: q+1
     123: q+1
     126: q+1
     127: 1
     128: q+1
     129: 1
     130: 1
     131: q+1
     132: 1
     133: q+1
     134: 1
     135: 1
     140: q+1
     141: q+1
     144: q+1
     145: q+1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     151: 1
     152: 1
     153: 1
     154: q+1
     155: q+1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     161: 1
     162: q+1
     163: q+1
     164: q+1
     167: q+1
     168: q+1
     169: q+1
     172: 1
     173: 1
     174: 1
     182: q+1
     183: 1
     184: q+1
     185: 1
     186: 1
     190: q+1
     195: q+1
     196: 1
     197: 1
     198: 1
     199: 1
     202: 1
     203: 1
     204: 1
     205: 1
     210: 1
     211: 1
     212: 1
     213: 1
     214: q+1
     215: 1
     216: 1
     217: 1
     218: 1
     219: q+1
     220: q+1
     221: q+1
     224: 1
     225: 1
     226: 1
     234: 1
     235: 1
     236: 1
     244: q+1
     246: 1
     247: 1
     249: 1
     253: 1
     254: 1
     255: 1
     263: 1
     264: 1
     265: 1
     268: 1
     269: 1
     270: 1
     271: 1
     272: 1
     279: 1
     280: 1
     281: 1
     289: 1
     290: 1
     291: 1
     298: 1
     306: 1
     308: 1
     309: 1
     320: 1
     321: 1
     323: 1
     327: 1
     328: 1
     329: 1
     342: 1
     343: 1
     344: 1
     358: 1
     372: 1
     377: 1
     379: 1
     380: 1
     431: 1

432:   0: q+1
       1: q^3+1
       2: q+1
       3: q+1
       4: q^2+q+1
       6: q^3+1
       7: 1
       8: q^2+q+1
      12: q^3+1
      13: q^2+q+1
      31: 1
      32: 1
      33: 1
      36: q+1
      37: q^2+q+1
      38: q^3+1
      41: q+1
      42: q^3+1
      44: q^2+q+1
      46: q+1
      47: 1
      48: q+1
      56: 1
      59: 1
      60: q+1
      71: 1
      72: 1
      73: 1
      76: q+1
      77: q^3+1
      78: q^2+q+1
      81: q+1
      82: 1
      83: q+1
      86: q+1
      87: 1
      88: q+1
      95: 1
     100: q+1
     103: 1
     106: 1
     109: 1
     110: q+1
     121: 1
     122: 1
     123: 1
     126: q+1
     127: 1
     128: q+1
     131: q+1
     132: 1
     133: q+1
     145: 1
     146: 1
     149: 1
     154: q+1
     155: q+1
     158: 1
     161: 1
     172: 1
     173: 1
     174: 1
     177: 1
     178: 1
     179: q+1
     182: q+1
     183: 1
     184: q+1
     197: 1
     202: 1
     205: 1
     206: 1
     209: 1
     210: 1
     211: 1
     214: q+1
     229: 1
     230: 1
     231: q+1
     234: 1
     235: 1
     236: 1
     255: 1
     256: 1
     257: 1
     260: 1
     263: 1
     268: 1
     270: 1
     273: 1
     274: 1
     275: 1
     276: q+1
     299: 1
     310: 1
     311: 1
     329: 1
     330: 1
     331: 1
     359: 1
     381: 1
     383: 1
     432: 1

433:   0: q^2+2q+1
       1: q^3+q^2+q+1
       2: q^2+2q+1
       3: q^3+q^2+q+1
       4: q^2+2q+1
       5: q^3+q^2+q+1
       6: q^2+1
       7: q+1
       8: q^2+2q+1
      10: q^2+1
      11: q+1
      12: q^2+1
      13: q^3+2q^2+2q+1
      16: q^2+1
      26: q^3+q^2+q+1
      27: q^2+1
      28: q+1
      29: q^2+1
      31: q^2+q+1
      32: q^2+1
      33: q+1
      36: q^2+2q+1
      37: q^2+2q+1
      38: q^2+1
      39: q^2+1
      41: q^2+q+1
      42: q^2+1
      43: q^2+1
      44: q^2+2q+1
      46: 2q+1
      47: q+1
      48: 2q+1
      49: q+1
      53: q^2+1
      55: q^2+1
      56: q^2+1
      58: q+1
      59: q+1
      60: 2q+1
      66: q^2+q+1
      67: q^2+1
      68: q+1
      71: q^2+q+1
      72: q+1
      73: q^2+1
      76: q^2+q+1
      77: q^2+1
      78: q^2+2q+1
      79: q^2+1
      81: q+1
      82: 1
      83: 2q+1
      84: 1
      86: 2q+1
      87: q+1
      88: 2q+1
      89: q+1
      95: q^2+1
      97: q^2+1
      99: q^2+1
     100: q+1
     102: q+1
     103: q+1
     105: 1
     106: 1
     108: q+1
     109: q+1
     110: 2q+1
     116: q^2+q+1
     117: q+1
     118: q^2+1
     121: 1
     122: 1
     123: q+1
     126: q+1
     127: 1
     128: 2q+1
     129: 1
     131: q+1
     132: 1
     133: 2q+1
     134: 1
     140: q^2+1
     145: 1
     146: 1
     148: q+1
     149: 1
     151: 1
     153: 1
     154: q+1
     155: q+1
     157: 1
     158: 1
     160: q+1
     161: q+1
     167: 1
     168: 1
     169: q+1
     172: 1
     173: 1
     174: q+1
     177: 1
     178: 1
     179: q+1
     180: 1
     182: q+1
     183: 1
     184: 2q+1
     185: 1
     195: 1
     196: 1
     197: 1
     199: 1
     202: 1
     205: 1
     206: 1
     208: 1
     209: 1
     210: 1
     211: 1
     213: 1
     214: q+1
     216: 1
     218: q+1
     224: 1
     225: 1
     226: q+1
     229: 1
     230: 1
     231: q+1
     232: 1
     234: 1
     235: 1
     236: q+1
     247: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     259: 1
     260: 1
     262: 1
     263: 1
     264: 1
     265: 1
     268: 1
     270: 1
     273: 1
     289: 1
     290: 1
     291: q+1
     309: 1
     311: 1
     312: 1
     313: 1
     320: 1
     327: 1
     328: 1
     329: 1
     330: 1
     331: 1
     361: 1
     380: 1
     381: 1
     382: 1
     433: 1

434:   0: q^2+1
       1: q^2+1
       2: q+1
       3: q^2+1
       4: 1
       5: q^2+1
       6: q^2+1
       7: 1
       8: q^2+q+1
       9: q^2+1
      10: q^2+1
      11: 1
      13: q^2+q+1
      14: q^2+1
      15: 1
      21: q^2+1
      22: q^2+1
      23: 1
      26: q^2+1
      27: q^2+1
      28: 1
      31: q^2+1
      32: q^2+1
      33: 1
      36: 1
      37: 1
      41: q^2+1
      42: q^2+1
      43: q^2+1
      44: q^2+q+1
      45: q^2+1
      46: 1
      47: 1
      48: q+1
      49: 1
      50: 1
      54: q^2+1
      55: q^2+1
      56: q^2+1
      57: 1
      58: 1
      59: 1
      60: 1
      61: q^2+1
      62: q^2+1
      63: 1
      66: q^2+1
      67: q^2+1
      68: 1
      71: 1
      72: 1
      76: 1
      78: 1
      81: 1
      82: 1
      83: q+1
      84: 1
      85: 1
      86: 1
      87: 1
      88: q+1
      89: 1
      90: 1
      96: q^2+1
      97: q^2+1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: 1
     109: 1
     110: 1
     111: q^2+1
     112: q^2+1
     113: 1
     116: 1
     117: 1
     121: 1
     123: 1
     126: 1
     128: 1
     131: 1
     132: 1
     133: q+1
     134: 1
     135: 1
     141: q^2+1
     146: 1
     147: 1
     148: 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
     167: 1
     169: 1
     172: 1
     174: 1
     177: 1
     178: 1
     179: q+1
     180: 1
     181: 1
     182: 1
     184: 1
     196: 1
     198: 1
     204: 1
     205: 1
     206: 1
     207: 1
     208: 1
     209: 1
     210: 1
     214: 1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     221: 1
     224: 1
     226: 1
     234: 1
     236: 1
     246: 1
     254: 1
     256: 1
     261: 1
     262: 1
     264: 1
     270: 1
     271: 1
     272: 1
     273: 1
     279: 1
     281: 1
     289: 1
     291: 1
     308: 1
     312: 1
     319: 1
     321: 1
     328: 1
     330: 1
     342: 1
     344: 1
     362: 1
     379: 1
     382: 1
     434: 1

435:   0: 1
       1: 1
       2: q+1
       3: 1
       4: 1
       6: 1
       7: 1
       8: q+1
      13: q+1
      31: 1
      32: 1
      33: 1
      36: 1
      37: 1
      41: 1
      42: 1
      44: q+1
      46: 1
      47: 1
      48: q+1
      56: 1
      59: 1
      60: 1
      71: 1
      72: 1
      76: 1
      78: 1
      81: 1
      82: 1
      83: q+1
      86: 1
      87: 1
      88: q+1
     100: 1
     103: 1
     106: 1
     109: 1
     110: 1
     121: 1
     123: 1
     126: 1
     128: 1
     131: 1
     132: 1
     133: q+1
     146: 1
     154: 1
     155: 1
     158: 1
     161: 1
     172: 1
     174: 1
     177: 1
     178: 1
     179: q+1
     182: 1
     184: 1
     205: 1
     206: 1
     209: 1
     210: 1
     214: 1
     229: 1
     231: 1
     234: 1
     236: 1
     256: 1
     260: 1
     270: 1
     273: 1
     274: 1
     276: 1
     284: 1
     286: 1
     310: 1
     318: 1
     330: 1
     331: 1
     332: 1
     334: 1
     360: 1
     383: 1
     384: 1
     435: 1

436:   0: q+1
       1: q+1
       2: q+1
       3: q^3+1
       4: q+1
       6: q^3+1
       7: q+1
       8: q+1
      12: q^3+1
      13: q^3+q^2+q+1
      31: q+1
      32: q^3+1
      33: q+1
      36: q+1
      37: q+1
      38: q^3+1
      41: 1
      42: 1
      44: q+1
      46: q+1
      47: q+1
      48: q+1
      56: 1
      59: q+1
      60: q+1
      71: q+1
      72: q+1
      73: q^3+1
      76: 1
      77: 1
      78: q+1
      81: 1
      82: 1
      83: q+1
      86: q+1
      87: q+1
      88: q+1
      95: 1
     100: 1
     103: q+1
     106: 1
     109: q+1
     110: q+1
     121: 1
     122: 1
     123: q+1
     126: 1
     127: 1
     128: q+1
     131: 1
     132: 1
     133: q+1
     145: 1
     146: 1
     149: 1
     154: 1
     155: 1
     158: 1
     161: q+1
     172: 1
     173: 1
     174: q+1
     177: 1
     178: 1
     179: q+1
     182: 1
     183: 1
     184: q+1
     197: 1
     202: 1
     205: 1
     206: 1
     209: 1
     210: 1
     211: 1
     214: 1
     229: 1
     230: 1
     231: q+1
     234: 1
     235: 1
     236: q+1
     255: 1
     256: 1
     257: 1
     260: 1
     263: 1
     268: 1
     270: 1
     273: 1
     284: 1
     285: 1
     286: q+1
     311: 1
     316: 1
     318: 1
     329: 1
     330: 1
     331: 1
     370: 1
     381: 1
     384: 1
     436: 1

437:   0: 1
       1: 1
       2: q^2+q+1
       3: q^3+1
       4: 1
       5: 1
       6: q^3+1
       7: 1
       8: q^2+q+1
      10: q^3+1
      11: 1
      13: q^3+q^2+q+1
      26: 1
      27: q^3+1
      28: 1
      31: 1
      32: q^3+1
      33: 1
      36: 1
      37: 1
      41: 1
      42: 1
      43: 1
      44: q^2+q+1
      46: 1
      47: 1
      48: q^2+q+1
      49: 1
      55: 1
      56: 1
      58: 1
      59: 1
      60: 1
      66: 1
      67: q^3+1
      68: 1
      71: 1
      72: 1
      76: 1
      78: 1
      81: 1
      82: 1
      83: q^2+q+1
      84: 1
      86: 1
      87: 1
      88: q^2+q+1
      89: 1
      97: 1
     100: 1
     102: 1
     103: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: 1
     116: 1
     117: 1
     121: 1
     123: 1
     126: 1
     128: 1
     131: 1
     132: 1
     133: q^2+q+1
     134: 1
     146: 1
     148: 1
     153: 1
     154: 1
     155: 1
     157: 1
     158: 1
     160: 1
     161: 1
     167: 1
     169: 1
     172: 1
     174: 1
     177: 1
     178: 1
     179: q^2+q+1
     180: 1
     182: 1
     184: 1
     196: 1
     205: 1
     206: 1
     208: 1
     209: 1
     210: 1
     214: 1
     216: 1
     218: 1
     224: 1
     226: 1
     229: 1
     231: 1
     234: 1
     236: 1
     254: 1
     256: 1
     260: 1
     262: 1
     264: 1
     270: 1
     273: 1
     284: 1
     286: 1
     289: 1
     291: 1
     312: 1
     318: 1
     328: 1
     330: 1
     331: 1
     337: 1
     339: 1
     369: 1
     382: 1
     384: 1
     437: 1

438:   0: q^3+3q^2+3q+1
       1: q^2+2q+1
       2: q^3+3q^2+3q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: q^2+2q+1
       6: q+1
       7: q+1
       8: q^2+2q+1
      10: q+1
      11: q+1
      12: q+1
      13: q^3+2q^2+2q+1
      16: q+1
      26: q^2+2q+1
      27: q+1
      28: q+1
      29: q+1
      31: q^2+2q+1
      32: q+1
      33: q+1
      36: q^3+3q^2+3q+1
      37: q^2+2q+1
      38: q+1
      39: q+1
      41: q^2+2q+1
      42: q+1
      43: q+1
      44: q^2+2q+1
      46: q^2+2q+1
      47: q+1
      48: q^2+2q+1
      49: q+1
      53: q+1
      55: q+1
      56: q+1
      58: q+1
      59: q+1
      60: q^2+2q+1
      66: q^2+2q+1
      67: q+1
      68: q+1
      71: q^2+2q+1
      72: q+1
      73: q+1
      76: q^2+2q+1
      77: q+1
      78: q^2+2q+1
      79: q+1
      81: q+1
      82: 1
      83: q^2+2q+1
      84: 1
      86: q^2+2q+1
      87: q+1
      88: q^2+2q+1
      89: q+1
      95: q+1
      97: q+1
      99: q+1
     100: q+1
     102: q+1
     103: q+1
     105: 1
     106: 1
     108: q+1
     109: q+1
     110: q^2+2q+1
     116: q^2+2q+1
     117: q+1
     118: q+1
     121: q+1
     122: q+1
     123: q+1
     126: q+1
     127: 1
     128: q^2+2q+1
     129: 1
     131: q+1
     132: 1
     133: q^2+2q+1
     134: 1
     140: q+1
     145: q+1
     146: 1
     148: q+1
     149: 1
     151: 1
     153: 1
     154: q+1
     155: q+1
     157: 1
     158: 1
     160: q+1
     161: q+1
     167: q+1
     168: q+1
     169: q+1
     172: 1
     173: 1
     174: q+1
     177: q+1
     178: 1
     180: 1
     182: q+1
     183: 1
     184: q^2+2q+1
     185: 1
     195: q+1
     196: 1
     197: 1
     199: 1
     202: 1
     205: 1
     208: 1
     209: 1
     210: 1
     211: 1
     213: 1
     214: q+1
     216: 1
     218: q+1
     224: 1
     225: 1
     226: q+1
     229: q+1
     230: 1
     232: 1
     234: 1
     235: 1
     236: q+1
     247: 1
     253: 1
     254: 1
     255: 1
     257: 1
     259: 1
     262: 1
     263: 1
     264: 1
     265: 1
     268: 1
     270: 1
     274: q+1
     284: 1
     285: 1
     289: 1
     290: 1
     291: q+1
     309: 1
     313: 1
     316: 1
     320: 1
     327: 1
     328: 1
     329: 1
     332: 1
     337: 1
     338: 1
     368: 1
     380: 1
     385: 1
     390: 1
     438: 1

439:   0: q+1
       1: 1
       2: q+1
       3: q^2+2q+1
       4: q+1
       5: 1
       6: q+1
       7: 1
       8: q+1
      10: q+1
      11: 1
      12: q+1
      16: q+1
      26: 1
      27: q+1
      28: 1
      29: q+1
      31: 1
      32: q+1
      33: 1
      36: q+1
      37: q+1
      38: q+1
      39: q+1
      41: q+1
      42: 1
      43: 1
      46: q+1
      47: 1
      48: q+1
      49: 1
      53: q+1
      55: 1
      56: 1
      58: 1
      59: 1
      60: q+1
      66: 1
      67: q+1
      68: 1
      71: 1
      72: 1
      73: q+1
      76: q+1
      77: 1
      79: 1
      81: q+1
      82: 1
      84: 1
      86: q+1
      87: 1
      88: q+1
      89: 1
      95: 1
      97: 1
      99: 1
     102: 1
     103: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: q+1
     116: 1
     117: 1
     118: q+1
     121: 1
     122: 1
     126: q+1
     127: 1
     129: 1
     131: q+1
     132: 1
     134: 1
     140: 1
     145: 1
     148: 1
     149: 1
     151: 1
     153: 1
     157: 1
     158: 1
     160: 1
     161: 1
     167: 1
     168: 1
     172: 1
     173: 1
     177: q+1
     178: 1
     180: 1
     182: q+1
     183: 1
     185: 1
     195: 1
     199: 1
     202: 1
     208: 1
     209: 1
     211: 1
     213: 1
     216: 1
     218: 1
     224: 1
     225: 1
     229: q+1
     230: 1
     232: 1
     234: 1
     235: 1
     253: 1
     257: 1
     259: 1
     262: 1
     265: 1
     268: 1
     275: 1
     277: 1
     284: 1
     285: 1
     289: 1
     290: 1
     301: 1
     313: 1
     316: 1
     327: 1
     333: 1
     337: 1
     338: 1
     368: 1
     386: 1
     391: 1
     439: 1

440:   0: q+1
       1: 1
       2: q+1
       3: q+1
       4: q^3+2q^2+2q+1
       5: 1
       6: 1
       7: q^2+q+1
       8: q^3+2q^2+2q+1
      10: 1
      11: q^2+q+1
      12: 1
      13: q^3+2q^2+2q+1
      16: 1
      26: 1
      27: 1
      28: q^2+q+1
      29: 1
      31: 1
      32: 1
      33: q^2+q+1
      36: q+1
      37: q^3+2q^2+2q+1
      38: 1
      39: 1
      41: q+1
      42: 1
      43: 1
      44: q^3+2q^2+2q+1
      46: q+1
      47: 1
      48: q+1
      49: 1
      53: 1
      55: 1
      56: 1
      58: 1
      59: 1
      60: q+1
      66: 1
      67: 1
      68: q^2+q+1
      71: 1
      72: q^2+q+1
      73: 1
      76: q+1
      77: 1
      78: q^3+2q^2+2q+1
      79: 1
      81: q+1
      82: 1
      83: q+1
      84: 1
      86: q+1
      87: 1
      88: q+1
      89: 1
      95: 1
      97: 1
      99: 1
     100: q+1
     102: 1
     103: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: q+1
     116: 1
     117: q^2+q+1
     118: 1
     121: 1
     122: 1
     123: q^2+q+1
     126: q+1
     127: 1
     128: q+1
     129: 1
     131: q+1
     132: 1
     133: q+1
     134: 1
     140: 1
     145: 1
     146: 1
     148: 1
     149: 1
     151: 1
     153: 1
     154: q+1
     155: q+1
     157: 1
     158: 1
     160: 1
     161: 1
     167: 1
     168: 1
     169: q^2+q+1
     172: 1
     173: 1
     174: 1
     179: q+1
     182: q+1
     183: 1
     184: q+1
     185: 1
     195: 1
     196: 1
     197: 1
     199: 1
     202: 1
     205: 1
     210: 1
     211: 1
     213: 1
     214: q+1
     216: 1
     218: 1
     224: 1
     225: 1
     226: 1
     231: q+1
     234: 1
     235: 1
     236: 1
     247: 1
     253: 1
     254: 1
     255: 1
     263: 1
     264: 1
     265: 1
     268: 1
     270: 1
     276: q+1
     286: 1
     289: 1
     290: 1
     291: 1
     309: 1
     320: 1
     327: 1
     328: 1
     329: 1
     334: 1
     339: 1
     380: 1
     387: 1
     392: 1
     440: 1

441:   1: 1
       5: 1
       6: 1
       7: 1
      10: 1
      11: 1
      12: 1
      16: 1
      18: q+1
      26: 1
      27: 1
      28: 1
      29: 1
      34: 1
      38: 1
      39: 1
      42: 1
      43: 1
      47: 1
      49: 1
      53: 1
      55: 1
      58: 1
      69: 1
      74: 1
      77: 1
      79: 1
      82: 1
      84: 1
      87: 1
      89: 1
      99: 1
     105: 1
     108: 1
     119: 1
     124: 1
     127: 1
     129: 1
     132: 1
     134: 1
     151: 1
     157: 1
     170: 1
     175: 1
     178: 1
     180: 1
     183: 1
     185: 1
     208: 1
     213: 1
     227: 1
     230: 1
     232: 1
     237: 1
     259: 1
     275: 1
     277: 1
     287: 1
     292: 1
     301: 1
     335: 1
     340: 1
     388: 1
     393: 1
     441: 1

442:   9: q+1
      14: q+1
      15: q+1
      17: q+1
      19: 1
      20: 1
      30: 1
      35: 1
      40: q+1
      45: q+1
      50: q+1
      70: 1
      75: 1
      80: q+1
      85: q+1
      90: q+1
     120: 1
     125: 1
     130: q+1
     135: q+1
     171: 1
     176: 1
     181: q+1
     186: q+1
     228: 1
     233: q+1
     238: 1
     278: q+1
     288: 1
     293: 1
     336: 1
     341: 1
     389: 1
     394: 1
     442: 1

443:   0: q+1
       1: q+1
       2: q^3+2q^2+2q+1
       3: q+1
       4: 1
       5: q+1
       6: q+1
       7: 1
       8: q^2+q+1
       9: q+1
      10: q+1
      11: 1
      13: q^2+q+1
      14: q+1
      15: 1
      21: q+1
      22: q+1
      23: 1
      26: q+1
      27: q+1
      28: 1
      31: q+1
      32: q+1
      33: 1
      36: q+1
      37: 1
      41: q+1
      42: q+1
      43: q+1
      44: q^2+q+1
      45: q+1
      46: 1
      47: 1
      48: q^2+q+1
      49: 1
      50: 1
      54: q+1
      55: q+1
      56: q+1
      57: 1
      58: 1
      59: 1
      60: 1
      61: q+1
      62: q+1
      63: 1
      66: q+1
      67: q+1
      68: 1
      71: q+1
      72: 1
      76: q+1
      78: 1
      81: 1
      82: 1
      83: q^2+q+1
      84: 1
      85: 1
      86: 1
      87: 1
      88: q^2+q+1
      89: 1
      90: 1
      96: q+1
      97: q+1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: 1
     109: 1
     110: 1
     111: q+1
     112: q+1
     113: 1
     116: q+1
     117: 1
     121: q+1
     123: 1
     126: 1
     128: 1
     131: 1
     132: 1
     133: q^2+q+1
     134: 1
     135: 1
     141: q+1
     146: 1
     147: 1
     148: 1
     152: 1
     153: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     161: 1
     162: q+1
     163: 1
     167: q+1
     169: 1
     172: 1
     174: 1
     177: 1
     178: 1
     180: 1
     181: 1
     182: 1
     184: 1
     196: 1
     198: 1
     204: 1
     205: 1
     207: 1
     208: 1
     209: 1
     210: 1
     214: 1
     215: 1
     216: 1
     217: 1
     218: 1
     219: q+1
     221: 1
     224: 1
     226: 1
     229: 1
     234: 1
     236: 1
     246: 1
     254: 1
     261: 1
     262: 1
     264: 1
     270: 1
     271: 1
     272: 1
     274: 1
     279: 1
     281: 1
     284: 1
     289: 1
     291: 1
     308: 1
     319: 1
     321: 1
     328: 1
     332: 1
     337: 1
     342: 1
     344: 1
     379: 1
     390: 1
     395: 1
     443: 1

444:   0: q^2+q+1
       1: 1
       3: q^2+q+1
       4: q^2+q+1
       5: 1
       6: 1
       7: 1
       9: 1
      10: 1
      11: 1
      12: q+1
      14: 1
      15: 1
      16: q+1
      17: q+1
      21: 1
      22: 1
      23: 1
      24: q+1
      26: 1
      27: 1
      28: 1
      29: q+1
      31: 1
      32: 1
      33: 1
      38: 1
      39: 1
      40: 1
      41: q^2+q+1
      42: 1
      43: 1
      45: 1
      46: q^2+q+1
      47: 1
      49: 1
      50: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      61: 1
      62: 1
      63: 1
      64: q+1
      66: 1
      67: 1
      68: 1
      73: 1
      77: 1
      79: 1
      80: 1
      81: q^2+q+1
      82: 1
      84: 1
      85: 1
      86: q^2+q+1
      87: 1
      89: 1
      90: 1
      93: 1
      96: 1
      97: 1
      98: 1
      99: 1
     101: 1
     102: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: 1
     109: 1
     111: 1
     112: 1
     113: 1
     118: 1
     122: 1
     127: 1
     129: 1
     130: 1
     131: q^2+q+1
     132: 1
     134: 1
     135: 1
     141: 1
     144: 1
     147: 1
     150: 1
     151: 1
     152: 1
     153: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     164: 1
     168: 1
     173: 1
     177: q^2+q+1
     178: 1
     180: 1
     181: 1
     183: 1
     185: 1
     186: 1
     203: 1
     204: 1
     207: 1
     208: 1
     209: 1
     212: 1
     213: 1
     215: 1
     216: 1
     217: 1
     220: 1
     225: 1
     230: 1
     232: 1
     233: 1
     235: 1
     258: 1
     259: 1
     261: 1
     262: 1
     269: 1
     271: 1
     275: 1
     277: 1
     278: 1
     280: 1
     285: 1
     290: 1
     300: 1
     301: 1
     317: 1
     319: 1
     333: 1
     338: 1
     343: 1
     353: 1
     391: 1
     396: 1
     444: 1

445:   0: 1
       1: 1
       2: q+1
       3: 1
       4: q+1
       5: 1
       6: 1
       7: q+1
       8: q^3+q^2+2q+1
       9: 1
      10: 1
      11: q+1
      13: q^3+q^2+2q+1
      14: 1
      15: q+1
      21: 1
      22: 1
      23: q+1
      26: 1
      27: 1
      28: q+1
      31: 1
      32: 1
      33: q+1
      36: 1
      37: q+1
      41: 1
      42: 1
      43: 1
      44: q^3+q^2+2q+1
      45: 1
      46: 1
      47: 1
      48: q+1
      49: 1
      50: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: 1
      63: q+1
      66: 1
      67: 1
      68: q+1
      71: 1
      72: q+1
      76: 1
      78: q+1
      81: 1
      82: 1
      83: q+1
      84: 1
      85: 1
      86: 1
      87: 1
      88: q+1
      89: 1
      90: 1
      96: 1
      97: 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
     116: 1
     117: q+1
     121: 1
     123: q+1
     126: 1
     128: 1
     131: 1
     132: 1
     133: q+1
     134: 1
     135: 1
     141: 1
     146: 1
     147: 1
     148: 1
     152: 1
     153: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     161: 1
     162: 1
     163: q+1
     167: 1
     169: q+1
     172: 1
     174: 1
     179: q+1
     182: 1
     184: 1
     196: 1
     198: 1
     204: 1
     205: 1
     210: 1
     214: 1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     221: q+1
     224: 1
     226: 1
     231: 1
     234: 1
     236: 1
     246: 1
     254: 1
     264: 1
     270: 1
     271: 1
     272: 1
     276: 1
     279: 1
     281: 1
     286: 1
     289: 1
     291: 1
     308: 1
     321: 1
     328: 1
     334: 1
     339: 1
     342: 1
     344: 1
     379: 1
     392: 1
     397: 1
     445: 1

446:   1: q^2+2q+1
       5: q+1
       6: q^2+2q+1
       7: q^2+2q+1
       9: q+1
      10: q+1
      11: q+1
      12: q+1
      14: q+1
      15: q+1
      16: 1
      17: 1
      18: q+1
      19: q+1
      21: q+1
      22: q+1
      23: q+1
      24: 1
      25: q+1
      26: q+1
      27: q+1
      28: q+1
      29: 1
      34: 1
      35: 1
      38: q+1
      39: 1
      40: 1
      42: q^2+2q+1
      43: q+1
      45: q+1
      47: q^2+2q+1
      49: q+1
      50: q+1
      51: 1
      52: 1
      53: 1
      54: q+1
      55: q+1
      57: q+1
      58: q+1
      61: q+1
      62: q+1
      63: q+1
      64: 1
      69: 1
      74: 1
      75: 1
      77: q+1
      79: 1
      80: 1
      82: q^2+2q+1
      84: q+1
      85: q+1
      87: q^2+2q+1
      89: q+1
      90: q+1
      93: 1
      94: 1
      96: q+1
      98: 1
      99: 1
     101: q+1
     104: q+1
     105: q+1
     107: q+1
     108: q+1
     114: 1
     119: 1
     124: 1
     125: 1
     127: q+1
     129: 1
     130: 1
     132: q^2+2q+1
     134: q+1
     135: q+1
     143: 1
     144: 1
     150: 1
     151: 1
     152: q+1
     156: q+1
     157: q+1
     159: q+1
     165: 1
     170: 1
     175: 1
     176: 1
     178: q^2+2q+1
     180: q+1
     181: q+1
     183: q+1
     185: 1
     186: 1
     201: 1
     203: 1
     207: q+1
     208: q+1
     212: 1
     213: 1
     215: q+1
     222: 1
     227: 1
     230: q+1
     232: 1
     233: 1
     237: 1
     238: 1
     258: 1
     259: 1
     261: q+1
     267: 1
     269: 1
     275: q+1
     277: 1
     278: 1
     282: 1
     287: 1
     288: 1
     292: 1
     300: 1
     301: 1
     315: 1
     317: 1
     335: 1
     336: 1
     340: 1
     345: 1
     351: 1
     353: 1
     393: 1
     398: 1
     446: 1

447:   5: q+1
       9: q+1
      10: q+1
      11: q+1
      14: q+1
      15: q+1
      16: 1
      17: 1
      18: 1
      19: 1
      20: q+1
      21: q+1
      22: q+1
      23: q+1
      24: 1
      25: 1
      30: 1
      34: 1
      35: 1
      39: 1
      40: 1
      43: q+1
      45: q+1
      49: q+1
      50: q+1
      51: 1
      52: 1
      54: q+1
      57: q+1
      65: 1
      70: 1
      74: 1
      75: 1
      79: 1
      80: 1
      84: q+1
      85: q+1
      89: q+1
      90: q+1
      94: 1
      98: 1
     104: q+1
     107: q+1
     115: 1
     120: 1
     124: 1
     125: 1
     129: 1
     130: 1
     134: q+1
     135: q+1
     143: 1
     150: 1
     156: q+1
     166: 1
     171: 1
     175: 1
     176: 1
     180: q+1
     181: q+1
     185: 1
     186: 1
     201: 1
     207: q+1
     212: 1
     223: 1
     228: 1
     232: 1
     233: 1
     237: 1
     238: 1
     258: 1
     267: 1
     277: 1
     278: 1
     283: 1
     287: 1
     288: 1
     293: 1
     300: 1
     315: 1
     335: 1
     336: 1
     341: 1
     346: 1
     351: 1
     394: 1
     399: 1
     447: 1

448:   0: 1
       1: 1
       2: 1
       3: q+1
       4: 1
       5: q^2+q+1
       6: q+1
       7: 1
       8: 1
       9: q^2+q+1
      10: q+1
      11: q^2+q+1
      12: q+1
      14: q+1
      15: q^2+q+1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      21: q^2+q+1
      22: q+1
      23: q^2+q+1
      24: q+1
      25: q+1
      26: 1
      27: 1
      28: 1
      29: 1
      31: 1
      32: q+1
      33: 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
      45: q+1
      46: 1
      47: 1
      48: 1
      49: q^2+q+1
      50: q^2+q+1
      51: q+1
      52: q+1
      53: 1
      54: q+1
      55: 1
      56: 1
      57: q^2+q+1
      58: 1
      59: 1
      60: 1
      61: 1
      62: 1
      63: 1
      64: 1
      66: 1
      67: 1
      68: 1
      69: 1
      71: 1
      72: 1
      73: q+1
      74: q+1
      75: q+1
      76: 1
      77: 1
      79: q+1
      80: q+1
      81: 1
      82: 1
      84: q+1
      85: q+1
      86: 1
      87: 1
      88: 1
      89: q^2+q+1
      90: q^2+q+1
      92: 1
      93: 1
      94: q+1
      95: 1
      96: 1
      97: 1
      98: q+1
      99: 1
     101: 1
     102: 1
     103: 1
     104: q+1
     105: 1
     106: 1
     107: q^2+q+1
     108: 1
     109: 1
     110: 1
     111: 1
     112: 1
     113: 1
     114: 1
     116: 1
     117: 1
     118: 1
     119: 1
     121: 1
     122: 1
     124: q+1
     125: q+1
     126: 1
     127: 1
     129: q+1
     130: q+1
     131: 1
     132: 1
     134: q+1
     135: q+1
     137: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: q+1
     144: 1
     145: 1
     147: 1
     148: 1
     149: 1
     150: q+1
     151: 1
     152: 1
     153: 1
     156: q+1
     157: 1
     158: 1
     159: 1
     160: 1
     161: 1
     162: 1
     163: 1
     164: 1
     165: 1
     172: 1
     173: 1
     175: q+1
     176: q+1
     177: 1
     178: 1
     180: q+1
     181: q+1
     182: 1
     183: 1
     185: q+1
     186: q+1
     189: 1
     190: 1
     191: 1
     192: 1
     198: 1
     199: 1
     200: 1
     201: q+1
     202: 1
     203: 1
     204: 1
     207: q+1
     208: 1
     209: 1
     211: 1
     212: q+1
     213: 1
     215: 1
     216: 1
     217: 1
     218: 1
     229: 1
     230: 1
     232: q+1
     233: q+1
     234: 1
     235: 1
     237: q+1
     238: q+1
     240: 1
     248: 1
     249: 1
     250: 1
     257: 1
     258: q+1
     259: 1
     261: 1
     262: 1
     265: 1
     266: 1
     267: q+1
     268: 1
     269: 1
     271: 1
     272: 1
     275: 1
     277: 1
     278: 1
     284: 1
     285: 1
     287: q+1
     288: q+1
     300: 1
     301: 1
     302: 1
     313: 1
     314: 1
     315: q+1
     316: 1
     317: 1
     319: 1
     322: 1
     323: 1
     324: 1
     333: 1
     335: 1
     336: 1
     350: 1
     351: 1
     353: 1
     363: 1
     364: 1
     365: 1
     373: 1
     386: 1
     388: 1
     389: 1
     400: 1
     401: 1
     406: 1
     418: 1
     448: 1

449:   1: 1
       5: 1
       6: 1
       7: 1
       9: q+1
      10: 1
      11: 1
      12: 1
      14: q+1
      15: q+1
      16: 1
      17: q+1
      18: q+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
      34: 1
      35: 1
      38: 1
      39: 1
      40: q+1
      42: 1
      43: 1
      45: q+1
      47: 1
      49: 1
      50: q+1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      57: 1
      58: 1
      61: 1
      62: 1
      63: 1
      64: 1
      65: 1
      69: 1
      70: 1
      74: 1
      75: 1
      77: 1
      79: 1
      80: q+1
      82: 1
      84: 1
      85: q+1
      87: 1
      89: 1
      90: q+1
      91: 1
      93: 1
      94: 1
      96: 1
      98: 1
      99: 1
     101: 1
     104: 1
     105: 1
     107: 1
     108: 1
     119: 1
     120: 1
     124: 1
     125: 1
     127: 1
     129: 1
     130: q+1
     132: 1
     134: 1
     135: q+1
     138: 1
     143: 1
     144: 1
     150: 1
     151: 1
     152: 1
     156: 1
     157: 1
     159: 1
     170: 1
     171: 1
     175: 1
     176: 1
     178: 1
     180: 1
     181: q+1
     183: 1
     185: 1
     186: q+1
     193: 1
     201: 1
     203: 1
     207: 1
     208: 1
     212: 1
     213: 1
     215: 1
     227: 1
     228: 1
     230: 1
     232: 1
     233: q+1
     237: 1
     238: 1
     251: 1
     258: 1
     259: 1
     261: 1
     267: 1
     269: 1
     275: 1
     277: 1
     278: q+1
     287: 1
     288: 1
     292: 1
     293: 1
     300: 1
     301: 1
     315: 1
     317: 1
     325: 1
     335: 1
     336: 1
     340: 1
     341: 1
     351: 1
     353: 1
     366: 1
     388: 1
     389: 1
     393: 1
     394: 1
     401: 1
     407: 1
     441: 1
     442: 1
     449: 1

450:   0: q+1
       1: q^2+2q+1
       2: q+1
       3: q^2+2q+1
       4: q+1
       5: q^2+2q+1
       6: 3q+1
       7: q^2+2q+1
       8: q+1
      10: 3q+1
      11: q^2+2q+1
      12: 3q+1
      16: 3q+1
      18: q^2+2q+1
      26: q^2+2q+1
      27: 3q+1
      28: q^2+2q+1
      29: 3q+1
      31: q+1
      32: 2q+1
      33: q+1
      34: 2q+1
      36: q+1
      37: q+1
      38: 3q+1
      39: 3q+1
      41: q+1
      42: 2q+1
      43: 2q+1
      46: q+1
      47: q^2+2q+1
      48: q+1
      49: q^2+2q+1
      53: 3q+1
      55: 2q+1
      56: q+1
      58: q^2+2q+1
      59: q+1
      60: q+1
      66: q+1
      67: 2q+1
      68: q+1
      69: 2q+1
      71: q+1
      72: q+1
      73: 2q+1
      74: 2q+1
      76: q+1
      77: 2q+1
      79: 2q+1
      81: q+1
      82: 2q+1
      84: 2q+1
      86: q+1
      87: q^2+2q+1
      88: q+1
      89: q^2+2q+1
      92: q+1
      95: q+1
      97: q+1
      99: 2q+1
     102: q+1
     103: q+1
     105: 2q+1
     106: q+1
     108: q^2+2q+1
     109: q+1
     110: q+1
     116: q+1
     117: q+1
     118: 2q+1
     119: 2q+1
     121: 1
     122: 1
     124: q+1
     126: q+1
     127: 2q+1
     129: 2q+1
     131: q+1
     132: 2q+1
     134: 2q+1
     139: q+1
     140: q+1
     142: 1
     145: 1
     148: q+1
     149: q+1
     151: 2q+1
     153: q+1
     157: 2q+1
     158: q+1
     160: q+1
     161: q+1
     167: 1
     168: 1
     170: q+1
     172: 1
     173: 1
     175: q+1
     177: q+1
     178: 2q+1
     180: 2q+1
     182: q+1
     183: 2q+1
     185: 2q+1
     191: 1
     194: 1
     195: 1
     199: q+1
     200: 1
     202: 1
     208: 2q+1
     209: q+1
     211: q+1
     213: 2q+1
     216: q+1
     218: q+1
     224: 1
     225: 1
     227: q+1
     229: q+1
     230: 2q+1
     232: 2q+1
     234: 1
     235: 1
     237: q+1
     245: 1
     248: 1
     252: 1
     253: 1
     257: q+1
     259: 2q+1
     262: q+1
     265: q+1
     266: 1
     268: 1
     275: q+1
     277: q+1
     284: 1
     285: 1
     287: q+1
     289: 1
     290: 1
     292: q+1
     301: q+1
     307: 1
     313: q+1
     314: 1
     316: 1
     322: 1
     326: 1
     327: 1
     333: 1
     335: 1
     337: 1
     338: 1
     340: q+1
     350: 1
     363: 1
     367: 1
     368: 1
     378: 1
     386: 1
     388: 1
     391: 1
     393: 1
     400: 1
     408: 1
     423: 1
     439: 1
     441: 1
     450: 1

451:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: 1
       5: q^2+1
       6: q+1
       7: 1
       8: 1
      10: q^2+1
      11: q^3+q^2+1
      12: q+1
      13: 1
      16: q^2+1
      18: q^2+1
      26: 1
      27: 1
      28: 1
      29: 1
      31: q+1
      32: q+1
      33: 1
      34: q^2+1
      36: q+1
      37: 1
      38: q+1
      39: q^2+1
      41: q+1
      42: q+1
      43: q^2+1
      44: 1
      46: 1
      47: 1
      48: 1
      49: q^2+1
      53: 1
      55: 1
      56: q+1
      58: 1
      59: 1
      60: 1
      66: 1
      67: 1
      68: 1
      69: 1
      71: q+1
      72: 1
      73: q+1
      74: q^2+1
      76: q+1
      77: q+1
      78: 1
      79: q^2+1
      81: 1
      82: 1
      83: 1
      84: q^2+1
      86: 1
      87: 1
      88: 1
      89: q^2+1
      92: 1
      95: q+1
      97: 1
      99: 1
     100: 1
     102: 1
     103: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: 1
     116: 1
     117: 1
     118: 1
     119: 1
     121: q+1
     122: q+1
     123: 1
     124: q^2+1
     126: 1
     127: 1
     128: 1
     129: q^2+1
     131: 1
     132: 1
     133: 1
     134: q^2+1
     139: 1
     140: 1
     142: 1
     145: q+1
     146: 1
     148: 1
     149: 1
     151: 1
     153: 1
     154: 1
     155: 1
     157: 1
     158: 1
     160: 1
     161: 1
     167: 1
     168: 1
     169: 1
     170: 1
     172: 1
     173: 1
     174: 1
     175: q^2+1
     177: 1
     178: 1
     180: 1
     182: 1
     183: 1
     184: 1
     185: q^2+1
     191: 1
     194: 1
     195: 1
     196: 1
     197: 1
     199: 1
     200: 1
     202: 1
     205: 1
     208: 1
     209: 1
     210: 1
     211: 1
     213: 1
     214: 1
     216: 1
     218: 1
     229: 1
     230: 1
     232: 1
     234: 1
     235: 1
     236: 1
     237: q^2+1
     245: 1
     247: 1
     248: 1
     255: 1
     257: 1
     259: 1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     268: 1
     270: 1
     274: 1
     275: 1
     277: 1
     284: 1
     285: 1
     287: 1
     297: 1
     299: 1
     301: 1
     313: 1
     314: 1
     316: 1
     320: 1
     322: 1
     329: 1
     332: 1
     333: 1
     335: 1
     349: 1
     350: 1
     352: 1
     363: 1
     371: 1
     385: 1
     386: 1
     388: 1
     400: 1
     402: 1
     404: 1
     451: 1

452:   0: q^2+2q+1
       1: q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q+1
       5: q+1
       6: q+1
       7: 1
       8: q+1
      10: q+1
      11: 1
      12: q+1
      13: q+1
      16: q+1
      26: q+1
      27: q+1
      28: 1
      29: q+1
      31: q+1
      32: q+1
      33: 1
      36: q^2+2q+1
      37: q+1
      38: q+1
      39: q+1
      41: q^2+2q+1
      42: q+1
      43: q+1
      44: q+1
      46: q+1
      47: 1
      48: q+1
      49: 1
      53: q+1
      55: q+1
      56: q+1
      58: 1
      59: 1
      60: q+1
      66: q+1
      67: q+1
      68: 1
      71: q+1
      72: 1
      73: q+1
      76: q^2+2q+1
      77: q+1
      78: q+1
      79: q+1
      81: q+1
      82: 1
      83: q+1
      84: 1
      86: q+1
      87: 1
      88: q+1
      89: 1
      95: q+1
      97: q+1
      99: q+1
     100: q+1
     102: 1
     103: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: q+1
     116: q+1
     117: 1
     118: q+1
     121: q+1
     122: q+1
     123: 1
     126: q+1
     127: 1
     128: q+1
     129: 1
     131: q+1
     132: 1
     133: q+1
     134: 1
     140: q+1
     145: q+1
     146: 1
     148: 1
     149: 1
     151: 1
     153: 1
     154: q+1
     155: q+1
     157: 1
     158: 1
     160: 1
     161: 1
     167: q+1
     168: q+1
     169: 1
     172: 1
     173: 1
     174: 1
     177: q+1
     178: 1
     180: 1
     182: q+1
     183: 1
     184: q+1
     185: 1
     195: q+1
     196: 1
     197: 1
     199: 1
     202: 1
     205: 1
     208: 1
     209: 1
     210: 1
     211: 1
     213: 1
     214: q+1
     216: 1
     218: 1
     224: 1
     225: 1
     226: 1
     229: q+1
     230: 1
     232: 1
     234: 1
     235: 1
     236: 1
     247: 1
     253: 1
     254: 1
     255: 1
     257: 1
     259: 1
     262: 1
     263: 1
     264: 1
     265: 1
     268: 1
     270: 1
     274: q+1
     275: 1
     277: 1
     284: 1
     285: 1
     289: 1
     290: 1
     291: 1
     299: 1
     301: 1
     309: 1
     313: 1
     316: 1
     320: 1
     327: 1
     328: 1
     329: 1
     332: 1
     333: 1
     337: 1
     338: 1
     349: 1
     352: 1
     368: 1
     380: 1
     385: 1
     386: 1
     390: 1
     391: 1
     402: 1
     409: 1
     438: 1
     439: 1
     452: 1

453:   0: 3q+1
       1: 3q+1
       2: q^2+2q+1
       3: 3q+1
       4: q^2+2q+1
       5: q^2+2q+1
       6: 3q+1
       7: q^2+2q+1
       8: q+1
       9: q^2+2q+1
      10: q^2+2q+1
      11: q^3+2q^2+2q+1
      12: q^2+2q+1
      13: q+1
      14: q^2+2q+1
      15: q^3+2q^2+2q+1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      21: q^2+2q+1
      22: q^2+2q+1
      23: q^3+2q^2+2q+1
      24: q+1
      25: q+1
      26: 2q+1
      27: 2q+1
      28: q^2+2q+1
      29: q+1
      31: 3q+1
      32: 3q+1
      33: q^2+2q+1
      34: q+1
      35: q+1
      36: 2q+1
      37: q+1
      38: 2q+1
      39: q+1
      40: q+1
      41: 3q+1
      42: 3q+1
      43: q^2+2q+1
      44: q+1
      45: q^2+2q+1
      46: 2q+1
      47: 2q+1
      48: q+1
      49: q^2+2q+1
      50: q^2+2q+1
      51: q+1
      52: q+1
      53: q+1
      54: q^2+2q+1
      55: 2q+1
      56: 3q+1
      57: q^2+2q+1
      58: 2q+1
      59: 2q+1
      60: q+1
      61: 2q+1
      62: 2q+1
      63: q^2+2q+1
      64: q+1
      66: 2q+1
      67: 2q+1
      68: q^2+2q+1
      69: q+1
      71: 2q+1
      72: q+1
      73: 2q+1
      74: q+1
      75: q+1
      76: 2q+1
      77: 2q+1
      78: q+1
      79: q+1
      80: q+1
      81: 2q+1
      82: 2q+1
      83: q+1
      84: q^2+2q+1
      85: q^2+2q+1
      86: 2q+1
      87: 2q+1
      88: q+1
      89: q^2+2q+1
      90: q^2+2q+1
      92: q+1
      93: q+1
      94: q+1
      95: q+1
      96: 2q+1
      97: 2q+1
      98: q+1
      99: q+1
     100: q+1
     101: 2q+1
     102: 2q+1
     103: q+1
     104: q^2+2q+1
     105: 2q+1
     106: 2q+1
     107: q^2+2q+1
     108: 2q+1
     109: 2q+1
     110: q+1
     111: 2q+1
     112: 2q+1
     113: q^2+2q+1
     114: q+1
     116: q+1
     117: q+1
     118: 1
     119: 1
     121: 2q+1
     122: 2q+1
     123: q+1
     124: q+1
     125: q+1
     126: 1
     127: q+1
     128: 1
     129: q+1
     130: q+1
     131: 2q+1
     132: 2q+1
     133: q+1
     134: q^2+2q+1
     135: q^2+2q+1
     137: q+1
     139: 1
     140: 1
     141: 2q+1
     142: q+1
     143: q+1
     144: q+1
     145: q+1
     146: q+1
     147: 2q+1
     148: q+1
     149: 1
     150: q+1
     151: q+1
     152: 2q+1
     153: 2q+1
     154: 1
     155: q+1
     156: q^2+2q+1
     157: 2q+1
     158: 2q+1
     159: 2q+1
     160: 2q+1
     161: q+1
     162: q+1
     163: q+1
     164: 1
     165: 1
     167: q+1
     168: 1
     169: q+1
     170: 1
     172: 1
     173: q+1
     174: 1
     175: q+1
     176: q+1
     177: q+1
     178: q+1
     180: q+1
     181: q+1
     182: 1
     183: q+1
     184: 1
     185: q+1
     186: q+1
     189: 1
     190: 1
     191: 1
     192: q+1
     194: 1
     195: 1
     196: q+1
     197: 1
     198: q+1
     199: 1
     200: q+1
     201: q+1
     202: 1
     203: q+1
     204: 2q+1
     205: 1
     207: q+1
     208: q+1
     209: q+1
     210: q+1
     211: 1
     212: q+1
     213: q+1
     214: 1
     215: 2q+1
     216: 2q+1
     217: 2q+1
     218: q+1
     219: q+1
     220: 1
     221: q+1
     222: 1
     229: 1
     230: 1
     232: 1
     233: 1
     234: 1
     235: q+1
     236: 1
     237: q+1
     238: q+1
     240: 1
     243: 1
     244: 1
     245: 1
     246: q+1
     247: 1
     248: 1
     249: 1
     250: q+1
     255: 1
     257: 1
     258: 1
     259: 1
     261: q+1
     262: q+1
     263: 1
     264: q+1
     265: 1
     266: q+1
     267: q+1
     268: 1
     269: q+1
     270: 1
     271: 2q+1
     272: q+1
     274: 1
     275: 1
     277: 1
     278: 1
     284: 1
     285: 1
     287: 1
     288: 1
     296: 1
     297: 1
     298: 1
     299: 1
     300: 1
     301: 1
     302: 1
     313: 1
     314: 1
     315: 1
     316: 1
     317: 1
     319: q+1
     320: 1
     321: q+1
     322: 1
     323: 1
     324: q+1
     329: 1
     332: 1
     333: 1
     335: 1
     336: 1
     348: 1
     349: 1
     350: 1
     351: 1
     352: 1
     353: 1
     363: 1
     364: 1
     365: 1
     371: 1
     372: 1
     373: 1
     404: 1
     405: 1
     406: 1
     418: 1
     426: 1
     453: 1

454:   0: q+1
       1: q+1
       3: q+1
       4: q+1
       5: q+1
       6: q+1
       7: q+1
       9: q^2+q+1
      10: q+1
      11: q+1
      12: q+1
      14: q^2+q+1
      15: q^2+q+1
      16: q+1
      17: 1
      18: q+1
      19: 1
      20: 1
      21: q+1
      22: q+1
      23: q+1
      24: 1
      25: 1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      30: 1
      31: q+1
      32: q+1
      33: q+1
      34: q+1
      35: 1
      38: 1
      39: 1
      40: 1
      41: q+1
      42: q+1
      43: q+1
      45: q^2+q+1
      46: q+1
      47: q+1
      49: q+1
      50: q^2+q+1
      51: 1
      52: 1
      53: 1
      54: q+1
      55: q+1
      56: q+1
      57: q+1
      58: q+1
      59: q+1
      61: q+1
      62: q+1
      63: q+1
      64: 1
      65: 1
      66: q+1
      67: q+1
      68: q+1
      69: q+1
      70: 1
      73: 1
      74: 1
      75: 1
      77: 1
      79: 1
      80: 1
      81: q+1
      82: q+1
      84: q+1
      85: q^2+q+1
      86: q+1
      87: q+1
      89: q+1
      90: q^2+q+1
      91: 1
      92: 1
      93: 1
      94: 1
      96: q+1
      97: q+1
      98: 1
      99: 1
     101: q+1
     102: q+1
     104: q+1
     105: q+1
     106: q+1
     107: q+1
     108: q+1
     109: q+1
     111: q+1
     112: q+1
     113: q+1
     114: 1
     115: 1
     118: 1
     119: 1
     120: 1
     122: 1
     124: 1
     125: 1
     127: 1
     129: 1
     130: 1
     131: q+1
     132: q+1
     134: q+1
     135: q^2+q+1
     136: 1
     137: 1
     138: 1
     139: 1
     141: q+1
     142: 1
     143: 1
     144: 1
     147: q+1
     150: 1
     151: 1
     152: q+1
     153: q+1
     156: q+1
     157: q+1
     158: q+1
     159: q+1
     160: q+1
     168: 1
     170: 1
     171: 1
     173: 1
     175: 1
     176: 1
     177: q+1
     178: q+1
     180: q+1
     181: q^2+q+1
     183: 1
     185: 1
     186: 1
     187: 1
     192: 1
     193: 1
     194: 1
     200: 1
     201: 1
     203: 1
     204: q+1
     207: q+1
     208: q+1
     209: q+1
     212: 1
     213: 1
     215: q+1
     216: q+1
     217: q+1
     225: 1
     227: 1
     228: 1
     230: 1
     232: 1
     233: 1
     235: 1
     237: 1
     238: 1
     241: 1
     250: 1
     251: 1
     252: 1
     258: 1
     259: 1
     261: q+1
     262: q+1
     266: 1
     267: 1
     269: 1
     271: q+1
     275: 1
     277: 1
     278: 1
     285: 1
     287: 1
     288: 1
     290: 1
     292: 1
     293: 1
     300: 1
     301: 1
     303: 1
     314: 1
     315: 1
     317: 1
     319: q+1
     324: 1
     325: 1
     326: 1
     333: 1
     335: 1
     336: 1
     338: 1
     340: 1
     341: 1
     350: 1
     351: 1
     353: 1
     365: 1
     366: 1
     367: 1
     374: 1
     391: 1
     393: 1
     394: 1
     406: 1
     407: 1
     408: 1
     419: 1
     454: 1

455:   1: q+1
       5: q+1
       6: q+1
       7: q+1
       9: q+1
      10: q+1
      11: q+1
      12: 1
      14: q+1
      15: q+1
      16: 1
      17: 1
      18: q+1
      19: q+1
      20: q+1
      21: q+1
      22: q+1
      23: q+1
      24: 1
      25: q+1
      26: q+1
      27: q+1
      28: q+1
      29: 1
      30: q+1
      34: 1
      35: 1
      38: 1
      39: 1
      40: 1
      42: q+1
      43: q+1
      45: q+1
      47: q+1
      49: q+1
      50: q+1
      51: 1
      52: 1
      53: 1
      54: q+1
      55: q+1
      57: q+1
      58: q+1
      61: q+1
      62: q+1
      63: q+1
      64: 1
      65: q+1
      69: 1
      70: 1
      74: 1
      75: 1
      77: 1
      79: 1
      80: 1
      82: q+1
      84: q+1
      85: q+1
      87: q+1
      89: q+1
      90: q+1
      91: 1
      93: 1
      94: 1
      96: q+1
      98: 1
      99: 1
     101: q+1
     104: q+1
     105: q+1
     107: q+1
     108: q+1
     114: 1
     115: 1
     119: 1
     120: 1
     124: 1
     125: 1
     127: 1
     129: 1
     130: 1
     132: q+1
     134: q+1
     135: q+1
     136: 1
     138: 1
     143: 1
     144: 1
     150: 1
     151: 1
     152: q+1
     156: q+1
     157: q+1
     159: q+1
     165: 1
     166: 1
     170: 1
     171: 1
     175: 1
     176: 1
     178: q+1
     180: q+1
     181: q+1
     183: 1
     185: 1
     186: 1
     188: 1
     193: 1
     201: 1
     203: 1
     207: q+1
     208: q+1
     212: 1
     213: 1
     215: q+1
     222: 1
     223: 1
     227: 1
     228: 1
     230: 1
     232: 1
     233: 1
     237: 1
     238: 1
     242: 1
     251: 1
     258: 1
     259: 1
     261: q+1
     267: 1
     269: 1
     275: 1
     277: 1
     278: 1
     282: 1
     283: 1
     287: 1
     288: 1
     292: 1
     293: 1
     300: 1
     301: 1
     304: 1
     315: 1
     317: 1
     325: 1
     335: 1
     336: 1
     340: 1
     341: 1
     345: 1
     346: 1
     351: 1
     353: 1
     366: 1
     375: 1
     393: 1
     394: 1
     398: 1
     399: 1
     407: 1
     420: 1
     446: 1
     447: 1
     455: 1

456:   0: q^2+2q+1
       1: q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: q+1
       6: q^2+2q+1
       7: q^2+2q+1
       9: q+1
      10: q+1
      11: q+1
      12: q^2+2q+1
      14: q+1
      15: q+1
      16: q+1
      17: q+1
      18: q+1
      19: 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
      31: q^2+2q+1
      32: q^2+2q+1
      33: q^2+2q+1
      34: q+1
      35: q+1
      38: q+1
      39: 1
      40: 1
      41: q^2+2q+1
      42: q^2+2q+1
      43: q+1
      45: q+1
      46: q^2+2q+1
      47: q^2+2q+1
      49: q+1
      50: q+1
      51: q+1
      52: 1
      53: 1
      54: q+1
      55: q+1
      56: q^2+2q+1
      57: q+1
      58: q+1
      59: q^2+2q+1
      61: q+1
      62: q+1
      63: q+1
      64: q+1
      66: q+1
      67: q+1
      68: q+1
      69: q+1
      73: q+1
      74: 1
      75: 1
      77: q+1
      79: 1
      80: 1
      81: q^2+2q+1
      82: q^2+2q+1
      84: q+1
      85: q+1
      86: q^2+2q+1
      87: q^2+2q+1
      89: q+1
      90: q+1
      92: 1
      93: 1
      94: 1
      96: q+1
      97: q+1
      98: 1
      99: 1
     101: q+1
     102: q+1
     104: q+1
     105: q+1
     106: q^2+2q+1
     107: q+1
     108: q+1
     109: q^2+2q+1
     111: q+1
     112: q+1
     113: q+1
     114: q+1
     118: 1
     119: 1
     122: q+1
     124: 1
     125: 1
     127: q+1
     129: 1
     130: 1
     131: q^2+2q+1
     132: q^2+2q+1
     134: q+1
     135: q+1
     137: 1
     139: 1
     141: q+1
     142: 1
     143: 1
     144: 1
     147: q+1
     150: 1
     151: 1
     152: q+1
     153: q+1
     156: q+1
     157: q+1
     158: q^2+2q+1
     159: q+1
     160: q+1
     164: 1
     165: 1
     168: 1
     170: 1
     173: q+1
     175: 1
     176: 1
     177: q^2+2q+1
     178: q^2+2q+1
     180: q+1
     181: q+1
     183: q+1
     185: 1
     186: 1
     189: 1
     192: 1
     194: 1
     200: 1
     201: 1
     203: 1
     204: q+1
     207: q+1
     208: q+1
     209: q^2+2q+1
     212: 1
     213: 1
     215: q+1
     216: q+1
     217: q+1
     220: 1
     222: 1
     225: 1
     227: 1
     230: q+1
     232: 1
     233: 1
     235: q+1
     237: 1
     238: 1
     243: 1
     250: 1
     252: 1
     258: 1
     259: 1
     261: q+1
     262: q+1
     266: 1
     267: 1
     269: 1
     271: q+1
     275: q+1
     277: 1
     278: 1
     280: 1
     282: 1
     285: q+1
     287: 1
     288: 1
     290: 1
     292: 1
     300: 1
     301: 1
     305: 1
     314: 1
     315: 1
     317: 1
     319: q+1
     324: 1
     326: 1
     333: q+1
     335: 1
     336: 1
     338: 1
     340: 1
     343: 1
     345: 1
     350: 1
     351: 1
     353: 1
     365: 1
     367: 1
     376: 1
     391: 1
     393: 1
     396: 1
     398: 1
     406: 1
     408: 1
     421: 1
     444: 1
     446: 1
     456: 1

457:   0: 3q^2+4q+1
       1: 3q+1
       2: q^3+3q^2+3q+1
       3: 3q^2+4q+1
       4: q^3+3q^2+3q+1
       5: 3q+1
       6: 3q+1
       7: q^2+2q+1
       8: q^2+2q+1
       9: 3q+1
      10: 3q+1
      11: q^2+2q+1
      12: q^2+2q+1
      13: q^2+2q+1
      14: 3q+1
      15: q^2+2q+1
      16: q^2+2q+1
      17: q^2+2q+1
      21: 3q+1
      22: 3q+1
      23: q^2+2q+1
      24: q^2+2q+1
      26: 3q+1
      27: 3q+1
      28: q^2+2q+1
      29: q^2+2q+1
      31: 3q+1
      32: 3q+1
      33: q^2+2q+1
      36: 2q^2+3q+1
      37: q^2+2q+1
      38: 2q+1
      39: 2q+1
      40: 2q+1
      41: 3q^2+4q+1
      42: 3q+1
      43: 3q+1
      44: q^2+2q+1
      45: 3q+1
      46: 2q^2+3q+1
      47: 2q+1
      48: q^2+2q+1
      49: 2q+1
      50: 2q+1
      52: 2q+1
      53: 2q+1
      54: 3q+1
      55: 3q+1
      56: 3q+1
      57: 2q+1
      58: 2q+1
      59: 2q+1
      60: q^2+2q+1
      61: 3q+1
      62: 3q+1
      63: q^2+2q+1
      64: q^2+2q+1
      66: 3q+1
      67: 3q+1
      68: q^2+2q+1
      71: 2q+1
      72: q+1
      73: 2q+1
      76: 2q^2+3q+1
      77: 2q+1
      78: q^2+2q+1
      79: 2q+1
      80: 2q+1
      81: 2q^2+3q+1
      82: 2q+1
      83: q^2+2q+1
      84: 2q+1
      85: 2q+1
      86: 2q^2+3q+1
      87: 2q+1
      88: q^2+2q+1
      89: 2q+1
      90: 2q+1
      93: 2q+1
      95: q+1
      96: 3q+1
      97: 3q+1
      98: 2q+1
      99: 2q+1
     100: q^2+2q+1
     101: 2q+1
     102: 2q+1
     103: q+1
     104: 2q+1
     105: 2q+1
     106: 2q+1
     107: 2q+1
     108: 2q+1
     109: 2q+1
     110: q^2+2q+1
     111: 3q+1
     112: 3q+1
     113: q^2+2q+1
     116: 2q+1
     117: q+1
     118: 2q+1
     121: 2q+1
     122: 2q+1
     123: q+1
     126: q+1
     127: q+1
     128: q+1
     129: q+1
     130: q+1
     131: 2q^2+3q+1
     132: 2q+1
     133: q^2+2q+1
     134: 2q+1
     135: 2q+1
     140: q+1
     141: 3q+1
     144: 2q+1
     145: q+1
     146: q+1
     147: 2q+1
     148: q+1
     149: 1
     150: q+1
     151: q+1
     152: 2q+1
     153: 2q+1
     154: q+1
     155: q^2+2q+1
     156: 2q+1
     157: 2q+1
     158: 2q+1
     159: 2q+1
     160: 2q+1
     161: q+1
     162: 2q+1
     163: q+1
     164: 2q+1
     167: 2q+1
     168: 2q+1
     169: q+1
     172: 1
     173: q+1
     174: 1
     177: q^2+2q+1
     178: q+1
     180: q+1
     181: q+1
     182: q+1
     183: q+1
     184: q+1
     185: q+1
     186: q+1
     190: q+1
     195: q+1
     196: q+1
     197: 1
     198: q+1
     199: 1
     202: 1
     203: q+1
     204: 2q+1
     205: 1
     207: q+1
     208: q+1
     209: q+1
     210: q+1
     211: 1
     212: q+1
     213: q+1
     214: q+1
     215: 2q+1
     216: 2q+1
     217: 2q+1
     218: q+1
     219: 2q+1
     220: 2q+1
     221: q+1
     224: 1
     225: q+1
     226: 1
     229: q+1
     230: 1
     232: 1
     233: 1
     234: 1
     235: q+1
     236: 1
     244: q+1
     246: q+1
     247: 1
     249: 1
     253: 1
     254: 1
     255: 1
     257: 1
     258: 1
     259: 1
     261: q+1
     262: q+1
     263: 1
     264: q+1
     265: 1
     268: 1
     269: q+1
     270: 1
     271: 2q+1
     272: q+1
     274: q+1
     275: 1
     277: 1
     278: 1
     279: 1
     280: q+1
     281: 1
     284: 1
     285: 1
     289: 1
     290: q+1
     291: 1
     298: 1
     299: 1
     300: 1
     301: 1
     306: 1
     308: 1
     309: 1
     313: 1
     316: 1
     317: 1
     319: q+1
     320: 1
     321: q+1
     323: 1
     327: 1
     328: 1
     329: 1
     332: 1
     333: 1
     337: 1
     338: 1
     342: 1
     343: q+1
     344: 1
     349: 1
     352: 1
     353: 1
     358: 1
     364: 1
     368: 1
     372: 1
     377: 1
     379: 1
     380: 1
     390: 1
     391: 1
     395: 1
     396: 1
     405: 1
     409: 1
     422: 1
     431: 1
     443: 1
     444: 1
     457: 1

458:   0: 3q+1
       1: 3q+1
       2: q^2+2q+1
       3: 3q+1
       4: q^2+2q+1
       5: 3q+1
       6: 3q+1
       7: q^2+2q+1
       8: q+1
      10: 3q+1
      11: q^2+2q+1
      12: q^2+2q+1
      13: q+1
      16: q^2+2q+1
      18: q^2+2q+1
      26: 3q+1
      27: 3q+1
      28: q^2+2q+1
      29: q^2+2q+1
      31: 3q+1
      32: 3q+1
      33: q^2+2q+1
      34: q^2+2q+1
      36: 2q+1
      37: q+1
      38: 2q+1
      39: 2q+1
      41: 3q+1
      42: 3q+1
      43: 3q+1
      44: q+1
      46: 2q+1
      47: 2q+1
      48: q+1
      49: 2q+1
      53: 2q+1
      55: 3q+1
      56: 3q+1
      58: 2q+1
      59: 2q+1
      60: q+1
      66: 3q+1
      67: 3q+1
      68: q^2+2q+1
      69: q^2+2q+1
      71: 2q+1
      72: q+1
      73: 2q+1
      74: 2q+1
      76: 2q+1
      77: 2q+1
      78: q+1
      79: 2q+1
      81: 2q+1
      82: 2q+1
      83: q+1
      84: 2q+1
      86: 2q+1
      87: 2q+1
      88: q+1
      89: 2q+1
      92: 2q+1
      95: q+1
      97: 3q+1
      99: 2q+1
     100: q+1
     102: 2q+1
     103: q+1
     105: 2q+1
     106: 2q+1
     108: 2q+1
     109: 2q+1
     110: q+1
     116: 2q+1
     117: q+1
     118: 2q+1
     119: 2q+1
     121: 2q+1
     122: 2q+1
     123: q+1
     124: 2q+1
     126: 1
     127: q+1
     128: 1
     129: q+1
     131: 2q+1
     132: 2q+1
     133: q+1
     134: 2q+1
     139: 2q+1
     140: q+1
     142: 2q+1
     145: q+1
     146: q+1
     148: q+1
     149: 1
     151: q+1
     153: 2q+1
     154: 1
     155: q+1
     157: 2q+1
     158: 2q+1
     160: 2q+1
     161: q+1
     167: 2q+1
     168: 2q+1
     169: q+1
     170: 2q+1
     172: 1
     173: q+1
     174: 1
     175: q+1
     177: q+1
     178: q+1
     180: q+1
     182: 1
     183: q+1
     184: 1
     185: q+1
     191: q+1
     194: 2q+1
     195: q+1
     196: q+1
     197: 1
     199: 1
     200: q+1
     202: 1
     205: 1
     208: q+1
     209: q+1
     210: q+1
     211: 1
     213: q+1
     214: 1
     216: 2q+1
     218: q+1
     224: 1
     225: q+1
     226: 1
     227: q+1
     229: 1
     230: 1
     232: 1
     234: 1
     235: q+1
     236: 1
     237: q+1
     245: q+1
     247: 1
     248: 1
     252: q+1
     253: 1
     254: 1
     255: 1
     257: 1
     259: 1
     262: q+1
     263: 1
     264: q+1
     265: 1
     266: q+1
     268: 1
     270: 1
     274: 1
     275: 1
     277: 1
     284: 1
     285: 1
     287: 1
     289: 1
     290: q+1
     291: 1
     292: q+1
     297: 1
     299: 1
     301: 1
     307: 1
     309: 1
     313: 1
     314: 1
     316: 1
     320: 1
     322: 1
     326: q+1
     327: 1
     328: 1
     329: 1
     332: 1
     333: 1
     335: 1
     337: 1
     338: 1
     340: 1
     349: 1
     350: 1
     352: 1
     357: 1
     363: 1
     367: 1
     368: 1
     371: 1
     378: 1
     380: 1
     390: 1
     391: 1
     393: 1
     404: 1
     408: 1
     409: 1
     423: 1
     430: 1
     458: 1

459:   0: q^3+3q^2+3q+1
       1: q^2+2q+1
       2: q^3+3q^2+3q+1
       3: q^2+2q+1
       4: q^3+3q^2+3q+1
       5: q^2+2q+1
       6: q+1
       7: q^2+2q+1
       8: q^3+3q^2+3q+1
      10: q+1
      11: q^2+2q+1
      12: q+1
      13: q^4+3q^3+4q^2+3q+1
      16: q+1
      26: q^2+2q+1
      27: q+1
      28: q^2+2q+1
      29: q+1
      31: q^2+2q+1
      32: q+1
      33: q^2+2q+1
      36: q^3+3q^2+3q+1
      37: q^3+3q^2+3q+1
      38: q+1
      39: q+1
      41: q^2+2q+1
      42: q+1
      43: q+1
      44: q^3+3q^2+3q+1
      46: q^3+3q^2+3q+1
      47: q^2+2q+1
      48: q^3+3q^2+3q+1
      49: q^2+2q+1
      53: q+1
      55: q+1
      56: q+1
      58: q^2+2q+1
      59: q^2+2q+1
      60: q^3+3q^2+3q+1
      66: q^2+2q+1
      67: q+1
      68: q^2+2q+1
      71: q^2+2q+1
      72: q^2+2q+1
      73: q+1
      76: q^2+2q+1
      77: q+1
      78: q^3+3q^2+3q+1
      79: q+1
      81: q^2+2q+1
      82: q+1
      83: q^3+3q^2+3q+1
      84: q+1
      86: q^2+2q+1
      87: q+1
      88: q^2+2q+1
      89: q+1
      95: q+1
      97: q+1
      99: q+1
     100: q^2+2q+1
     102: q^2+2q+1
     103: q^2+2q+1
     105: q+1
     106: q+1
     108: q+1
     109: q+1
     110: q^2+2q+1
     116: q^2+2q+1
     117: q^2+2q+1
     118: q+1
     121: q+1
     122: q+1
     123: q^2+2q+1
     126: q^2+2q+1
     127: q+1
     128: q^3+3q^2+3q+1
     129: q+1
     131: q+1
     132: 1
     133: q^2+2q+1
     134: 1
     140: q+1
     145: q+1
     146: q+1
     148: q^2+2q+1
     149: q+1
     151: q+1
     153: q+1
     154: q^2+2q+1
     155: q+1
     157: 1
     158: 1
     160: q+1
     161: q+1
     167: q+1
     168: q+1
     169: q^2+2q+1
     172: q+1
     173: q+1
     174: q^2+2q+1
     177: q+1
     178: 1
     179: q^2+2q+1
     180: 1
     182: q+1
     183: 1
     184: q^2+2q+1
     185: 1
     195: q+1
     196: q+1
     197: q+1
     199: q+1
     202: q+1
     205: q+1
     206: q+1
     208: 1
     209: 1
     210: 1
     211: 1
     213: 1
     214: q+1
     216: 1
     218: q+1
     224: q+1
     225: q+1
     226: q^2+2q+1
     229: q+1
     230: 1
     231: q^2+2q+1
     232: 1
     234: 1
     235: 1
     236: q+1
     247: q+1
     253: q+1
     254: q+1
     255: q+1
     256: 1
     257: 1
     259: 1
     260: q+1
     262: 1
     263: 1
     264: 1
     265: 1
     268: 1
     270: 1
     274: q+1
     276: q+1
     284: 1
     285: 1
     286: q+1
     289: 1
     290: 1
     291: q+1
     309: q+1
     310: q+1
     311: 1
     312: 1
     313: 1
     316: 1
     318: 1
     320: 1
     327: 1
     328: 1
     329: 1
     332: 1
     334: 1
     337: 1
     338: 1
     339: q+1
     360: 1
     361: 1
     368: 1
     369: 1
     370: 1
     380: 1
     385: 1
     387: 1
     390: 1
     392: 1
     410: 1
     414: 1
     425: 1
     438: 1
     440: 1
     459: 1

460:   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
      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
     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
     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
     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
     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
     219: 1
     220: 1
     221: 1
     222: 1
     223: 1
     224: 1
     225: 1
     226: 1
     227: 1
     228: 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
     279: 1
     280: 1
     281: 1
     282: 1
     283: 1
     294: 1
     295: 1
     296: 1
     297: 1
     298: 1
     302: 1
     303: 1
     304: 1
     305: 1
     306: 1
     307: 1
     308: 1
     309: 1
     347: 1
     348: 1
     354: 1
     355: 1
     356: 1
     357: 1
     358: 1
     403: 1
     411: 1
     412: 1
     460: 1

461:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       6: q+1
       7: q+1
       8: q+1
      12: q+1
      13: q+1
      31: q+1
      32: q+1
      33: q+1
      36: q+1
      37: q+1
      38: q+1
      41: q+1
      42: q+1
      44: q+1
      46: q+1
      47: q+1
      48: q+1
      56: q+1
      59: q+1
      60: q+1
      71: q+1
      72: q+1
      73: q+1
      76: q+1
      77: q+1
      78: q+1
      81: q+1
      82: q+1
      83: q+1
      86: 1
      87: 1
      88: 1
      95: q+1
     100: q+1
     103: q+1
     106: q+1
     109: 1
     110: 1
     121: q+1
     122: q+1
     123: q+1
     126: q+1
     127: q+1
     128: q+1
     131: 1
     132: 1
     133: 1
     145: q+1
     146: q+1
     149: q+1
     154: q+1
     155: 1
     158: 1
     161: 1
     172: q+1
     173: q+1
     174: q+1
     177: 1
     178: 1
     179: 1
     182: 1
     183: 1
     184: 1
     197: q+1
     202: q+1
     205: q+1
     206: 1
     209: 1
     210: 1
     211: 1
     214: 1
     229: 1
     230: 1
     231: 1
     234: 1
     235: 1
     236: 1
     255: q+1
     256: 1
     257: 1
     260: 1
     263: 1
     268: 1
     270: 1
     274: 1
     275: 1
     276: 1
     284: 1
     285: 1
     286: 1
     299: 1
     310: 1
     311: 1
     316: 1
     318: 1
     329: 1
     332: 1
     333: 1
     334: 1
     352: 1
     359: 1
     360: 1
     370: 1
     385: 1
     386: 1
     387: 1
     402: 1
     410: 1
     415: 1
     461: 1

462:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: q^3+q^2+q+1
       6: q^2+2q+1
       7: q^2+2q+1
       8: q^2+2q+1
      10: q^3+q^2+q+1
      11: q^3+q^2+q+1
      12: q^3+q^2+q+1
      13: q^2+2q+1
      16: q^2+1
      18: q^2+1
      26: q^2+q+1
      27: q^2+q+1
      28: q^2+q+1
      29: q^2+1
      31: q^2+2q+1
      32: q^2+2q+1
      33: q^2+2q+1
      34: q^2+1
      36: 2q+1
      37: 2q+1
      38: q^2+q+1
      39: q^2+1
      41: q^2+2q+1
      42: q^2+2q+1
      43: q^3+q^2+q+1
      44: q^2+2q+1
      46: q^2+2q+1
      47: q^2+2q+1
      48: q^2+2q+1
      49: q^3+q^2+q+1
      53: q^2+1
      55: q^2+q+1
      56: q^2+2q+1
      58: q^2+q+1
      59: q^2+2q+1
      60: 2q+1
      66: q^2+q+1
      67: q^2+q+1
      68: q^2+q+1
      69: q^2+1
      71: 2q+1
      72: 2q+1
      73: q^2+q+1
      74: q^2+1
      76: 2q+1
      77: q^2+q+1
      78: 2q+1
      79: q^2+1
      81: q^2+2q+1
      82: q^2+2q+1
      83: q^2+2q+1
      84: q^3+q^2+q+1
      86: q+1
      87: q+1
      88: q+1
      89: q+1
      92: q^2+1
      95: q+1
      97: q^2+q+1
      99: q^2+1
     100: 2q+1
     102: q^2+q+1
     103: 2q+1
     105: q^2+q+1
     106: q^2+2q+1
     108: q+1
     109: q+1
     110: q+1
     116: q+1
     117: q+1
     118: 1
     119: 1
     121: 2q+1
     122: q^2+q+1
     123: 2q+1
     124: q^2+1
     126: 2q+1
     127: q^2+q+1
     128: 2q+1
     129: q^2+1
     131: q+1
     132: q+1
     133: q+1
     134: q+1
     139: 1
     140: 1
     142: q^2+1
     145: q+1
     146: 2q+1
     148: q+1
     149: q+1
     151: q^2+1
     153: q^2+q+1
     154: 2q+1
     155: q+1
     157: q+1
     158: q+1
     160: q+1
     161: q+1
     167: q+1
     168: 1
     169: q+1
     170: 1
     172: 2q+1
     173: q^2+q+1
     174: 2q+1
     175: q^2+1
     177: q+1
     178: q+1
     179: q+1
     180: q+1
     182: 1
     183: 1
     184: 1
     185: 1
     191: 1
     194: 1
     195: 1
     196: q+1
     197: q+1
     199: 1
     200: q^2+1
     202: q+1
     205: 2q+1
     206: q+1
     208: q+1
     209: q+1
     210: q+1
     211: 1
     213: 1
     214: 1
     216: q+1
     218: q+1
     224: q+1
     225: 1
     226: q+1
     227: 1
     229: 1
     230: 1
     231: 1
     232: 1
     234: 1
     235: 1
     236: 1
     237: 1
     245: 1
     247: 1
     248: 1
     252: 1
     253: 1
     254: q+1
     255: q+1
     256: q+1
     257: 1
     259: 1
     260: 1
     262: q+1
     263: 1
     264: q+1
     265: 1
     266: 1
     268: 1
     270: 1
     274: 1
     275: 1
     276: 1
     277: 1
     284: 1
     285: 1
     286: 1
     287: 1
     297: 1
     299: 1
     301: 1
     307: 1
     309: 1
     310: 1
     311: 1
     312: q+1
     313: 1
     314: 1
     316: 1
     318: 1
     320: 1
     322: 1
     329: 1
     332: 1
     333: 1
     334: 1
     335: 1
     349: 1
     350: 1
     352: 1
     357: 1
     359: 1
     360: 1
     361: 1
     363: 1
     370: 1
     371: 1
     404: 1
     413: 1
     415: 1
     416: 1
     462: 1

463:   0: q+1
       1: q^2+1
       2: q+1
       3: q+1
       4: q+1
       5: q^2+1
       6: q^2+1
       7: q^2+1
       8: q+1
       9: q^2+1
      10: q^2+1
      11: q^2+1
      12: q^2+1
      13: q+1
      14: q^2+1
      15: q^2+1
      16: q^2+1
      17: q^2+1
      21: q^2+1
      22: q^2+1
      23: q^2+1
      24: q^2+1
      26: q^2+1
      27: q^2+1
      28: q^2+1
      29: q^2+1
      31: 1
      32: 1
      33: 1
      36: q+1
      37: q+1
      38: q^2+1
      39: q^2+1
      40: q^2+1
      41: q+1
      42: q^2+1
      43: q^2+1
      44: q+1
      45: q^2+1
      46: q+1
      47: q^2+1
      48: q+1
      49: q^2+1
      50: q^2+1
      52: q^2+1
      53: q^2+1
      54: q^2+1
      55: q^2+1
      56: 1
      57: q^2+1
      58: q^2+1
      59: 1
      60: q+1
      61: q^2+1
      62: q^2+1
      63: q^2+1
      64: q^2+1
      66: 1
      67: 1
      68: 1
      71: 1
      72: 1
      73: 1
      76: q+1
      77: q^2+1
      78: q+1
      79: q^2+1
      80: q^2+1
      81: q+1
      82: q^2+1
      83: q+1
      84: q^2+1
      85: q^2+1
      86: 1
      87: 1
      88: 1
      89: 1
      90: 1
      93: q^2+1
      95: 1
      96: q^2+1
      97: 1
      98: q^2+1
      99: q^2+1
     100: q+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: 1
     113: 1
     116: 1
     117: 1
     118: 1
     121: 1
     122: 1
     123: 1
     126: q+1
     127: q^2+1
     128: q+1
     129: q^2+1
     130: q^2+1
     131: 1
     132: 1
     133: 1
     134: 1
     135: 1
     140: 1
     141: 1
     144: q^2+1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: q^2+1
     151: q^2+1
     152: q^2+1
     153: 1
     154: q+1
     155: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     161: 1
     162: 1
     163: 1
     164: 1
     167: 1
     168: 1
     169: 1
     172: 1
     173: 1
     174: 1
     177: 1
     178: 1
     179: 1
     180: 1
     181: 1
     182: 1
     183: 1
     184: 1
     185: 1
     186: 1
     190: 1
     195: 1
     196: 1
     197: 1
     198: 1
     199: 1
     202: 1
     203: q^2+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
     224: 1
     225: 1
     226: 1
     229: 1
     230: 1
     231: 1
     232: 1
     233: 1
     244: 1
     246: 1
     247: 1
     249: 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
     269: 1
     271: 1
     272: 1
     274: 1
     275: 1
     276: 1
     277: 1
     278: 1
     279: 1
     280: 1
     281: 1
     298: 1
     299: 1
     300: 1
     301: 1
     306: 1
     308: 1
     309: 1
     310: 1
     311: 1
     312: 1
     313: 1
     317: 1
     319: 1
     320: 1
     321: 1
     323: 1
     349: 1
     353: 1
     358: 1
     359: 1
     361: 1
     362: 1
     364: 1
     372: 1
     405: 1
     413: 1
     417: 1
     463: 1

464:   0: q+1
       1: q+1
       2: q^3+2q^2+2q+1
       3: q+1
       4: q+1
       5: q+1
       6: q+1
       7: q+1
       8: q^3+2q^2+2q+1
       9: q+1
      10: q+1
      11: q+1
      13: q^3+2q^2+2q+1
      14: q+1
      15: q+1
      21: q+1
      22: q+1
      23: q+1
      26: q+1
      27: q+1
      28: q+1
      31: q+1
      32: q+1
      33: q+1
      36: q+1
      37: q+1
      41: q+1
      42: q+1
      43: q+1
      44: q^3+2q^2+2q+1
      45: q+1
      46: q+1
      47: q+1
      48: q^3+2q^2+2q+1
      49: q+1
      50: 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
      66: q+1
      67: q+1
      68: q+1
      71: q+1
      72: q+1
      76: q+1
      78: q+1
      81: q+1
      82: q+1
      83: q^3+2q^2+2q+1
      84: q+1
      85: q+1
      86: 1
      87: 1
      88: q^2+q+1
      89: 1
      90: 1
      96: q+1
      97: q+1
     100: q+1
     101: q+1
     102: q+1
     103: q+1
     104: q+1
     105: q+1
     106: q+1
     107: 1
     108: 1
     109: 1
     110: 1
     111: q+1
     112: q+1
     113: q+1
     116: q+1
     117: q+1
     121: q+1
     123: q+1
     126: q+1
     128: q+1
     131: 1
     132: 1
     133: q^2+q+1
     134: 1
     135: 1
     141: q+1
     146: q+1
     147: q+1
     148: q+1
     152: q+1
     153: q+1
     154: q+1
     155: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     161: 1
     162: q+1
     163: q+1
     167: q+1
     169: q+1
     172: q+1
     174: q+1
     177: 1
     178: 1
     179: q^2+q+1
     180: 1
     181: 1
     182: 1
     184: 1
     196: q+1
     198: q+1
     204: q+1
     205: q+1
     206: 1
     207: 1
     208: 1
     209: 1
     210: 1
     214: 1
     215: 1
     216: 1
     217: 1
     218: 1
     219: q+1
     221: q+1
     224: q+1
     226: q+1
     229: 1
     231: 1
     234: 1
     236: 1
     246: q+1
     254: q+1
     256: 1
     260: 1
     261: 1
     262: 1
     264: 1
     270: 1
     271: 1
     272: 1
     274: 1
     276: 1
     279: q+1
     281: q+1
     284: 1
     286: 1
     289: 1
     291: 1
     308: q+1
     310: 1
     312: 1
     318: 1
     319: 1
     321: 1
     328: 1
     332: 1
     334: 1
     337: 1
     339: 1
     342: 1
     344: 1
     360: 1
     362: 1
     369: 1
     379: 1
     390: 1
     392: 1
     395: 1
     397: 1
     414: 1
     424: 1
     443: 1
     445: 1
     464: 1

465:   0: q^3+3q^2+3q+1
       1: q^2+2q+1
       2: q^3+3q^2+3q+1
       3: q^3+3q^2+3q+1
       4: q^3+3q^2+3q+1
       5: q^2+2q+1
       6: q^2+2q+1
       7: q^2+2q+1
       8: q^3+3q^2+3q+1
      10: q^2+2q+1
      11: q^2+2q+1
      12: q^3+q^2+q+1
      13: q^3+3q^2+3q+1
      16: q^3+q^2+q+1
      26: q^2+2q+1
      27: q^2+2q+1
      28: q^2+2q+1
      29: q^3+q^2+q+1
      31: q^2+2q+1
      32: q^2+2q+1
      33: q^2+2q+1
      36: 2q^2+3q+1
      37: 2q^2+3q+1
      38: q^2+q+1
      39: q^2+q+1
      41: q^3+3q^2+3q+1
      42: q^2+2q+1
      43: q^2+2q+1
      44: q^3+3q^2+3q+1
      46: q^3+3q^2+3q+1
      47: q^2+2q+1
      48: q^3+3q^2+3q+1
      49: q^2+2q+1
      53: q^2+q+1
      55: q^2+2q+1
      56: q^2+2q+1
      58: q^2+2q+1
      59: q^2+2q+1
      60: 2q^2+3q+1
      66: q^2+2q+1
      67: q^2+2q+1
      68: q^2+2q+1
      71: 2q+1
      72: 2q+1
      73: q^2+q+1
      76: 2q^2+3q+1
      77: q^2+q+1
      78: 2q^2+3q+1
      79: q^2+q+1
      81: q^3+3q^2+3q+1
      82: q^2+2q+1
      83: q^3+3q^2+3q+1
      84: q^2+2q+1
      86: q^2+2q+1
      87: q+1
      88: q^2+2q+1
      89: q+1
      95: q+1
      97: q^2+2q+1
      99: q^2+q+1
     100: 2q^2+3q+1
     102: q^2+2q+1
     103: 2q+1
     105: q^2+2q+1
     106: q^2+2q+1
     108: q+1
     109: q+1
     110: q^2+2q+1
     116: 2q+1
     117: 2q+1
     118: q^2+q+1
     121: 2q+1
     122: q^2+q+1
     123: 2q+1
     126: 2q^2+3q+1
     127: q^2+q+1
     128: 2q^2+3q+1
     129: q^2+q+1
     131: q^2+2q+1
     132: q+1
     133: q^2+2q+1
     134: q+1
     140: q+1
     145: q+1
     146: 2q+1
     148: 2q+1
     149: q+1
     151: q^2+q+1
     153: q^2+2q+1
     154: 2q^2+3q+1
     155: q^2+2q+1
     157: q+1
     158: q+1
     160: q+1
     161: q+1
     167: 2q+1
     168: q^2+q+1
     169: 2q+1
     172: 2q+1
     173: q^2+q+1
     174: 2q+1
     177: q^2+2q+1
     178: q+1
     179: q^2+2q+1
     180: q+1
     182: q+1
     183: 1
     184: q+1
     185: 1
     195: q+1
     196: 2q+1
     197: q+1
     199: q+1
     202: q+1
     205: 2q+1
     206: q^2+2q+1
     208: q+1
     209: q+1
     210: q+1
     211: 1
     213: 1
     214: q+1
     216: q+1
     218: q+1
     224: 2q+1
     225: q^2+q+1
     226: 2q+1
     229: q+1
     230: 1
     231: q+1
     232: 1
     234: 1
     235: 1
     236: 1
     247: q+1
     253: q+1
     254: 2q+1
     255: q+1
     256: q+1
     257: 1
     259: 1
     260: q+1
     262: q+1
     263: 1
     264: q+1
     265: 1
     268: 1
     270: 1
     274: q+1
     275: 1
     276: q+1
     277: 1
     284: 1
     285: 1
     286: 1
     289: 1
     290: 1
     291: 1
     299: 1
     301: 1
     309: q+1
     310: q+1
     311: 1
     312: q+1
     313: 1
     316: 1
     318: 1
     320: 1
     327: 1
     328: 1
     329: 1
     332: 1
     333: 1
     334: 1
     337: 1
     338: 1
     339: 1
     349: 1
     352: 1
     359: 1
     360: 1
     361: 1
     368: 1
     369: 1
     370: 1
     380: 1
     390: 1
     391: 1
     392: 1
     409: 1
     413: 1
     414: 1
     415: 1
     425: 1
     465: 1

466:   0: 3q+1
       1: 3q+1
       2: 3q+1
       3: q^2+2q+1
       4: 3q+1
       5: q^3+2q+1
       6: q^2+2q+1
       7: 3q+1
       8: 3q+1
       9: q^3+2q+1
      10: q+1
      11: q^3+2q+1
      12: q^2+2q+1
      13: q^2+2q+1
      14: q+1
      15: q^3+2q+1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      21: q^3+2q+1
      22: q+1
      23: q^3+2q+1
      24: q+1
      25: q+1
      26: 2q+1
      27: q+1
      28: 2q+1
      29: q+1
      31: 3q+1
      32: q^2+2q+1
      33: 3q+1
      34: q+1
      35: q+1
      36: 3q+1
      37: 3q+1
      38: q^2+2q+1
      39: q+1
      40: q+1
      41: 2q+1
      42: 2q+1
      43: q+1
      44: 2q+1
      45: q+1
      46: 3q+1
      47: 3q+1
      48: 3q+1
      49: q^3+2q+1
      50: q^3+2q+1
      51: q+1
      52: q+1
      53: q+1
      54: q+1
      55: q+1
      56: 2q+1
      57: q^3+2q+1
      58: 2q+1
      59: 3q+1
      60: 3q+1
      61: 2q+1
      62: q+1
      63: 2q+1
      64: q+1
      66: 2q+1
      67: q+1
      68: 2q+1
      69: q+1
      71: 3q+1
      72: 3q+1
      73: q^2+2q+1
      74: q+1
      75: q+1
      76: 2q+1
      77: 2q+1
      78: 2q+1
      79: q+1
      80: q+1
      81: 2q+1
      82: 2q+1
      83: 2q+1
      84: q+1
      85: q+1
      86: q+1
      87: q+1
      88: q+1
      89: q+1
      90: q+1
      92: q+1
      93: q+1
      94: q+1
      95: 2q+1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     100: q+1
     101: 2q+1
     102: 2q+1
     103: 3q+1
     104: q+1
     105: q+1
     106: 2q+1
     107: q+1
     108: q+1
     109: q+1
     110: q+1
     111: 2q+1
     112: q+1
     113: 2q+1
     114: q+1
     116: 2q+1
     117: 2q+1
     118: q+1
     119: q+1
     121: 2q+1
     122: 2q+1
     123: 2q+1
     124: q+1
     125: q+1
     126: 2q+1
     127: 2q+1
     128: 2q+1
     129: q+1
     130: q+1
     131: 1
     132: 1
     133: 1
     134: 1
     135: 1
     137: q+1
     139: q+1
     140: q+1
     141: q+1
     142: q+1
     143: q+1
     144: q+1
     145: 2q+1
     146: q+1
     147: 2q+1
     148: 2q+1
     149: 2q+1
     150: q+1
     151: q+1
     152: q+1
     153: q+1
     154: q+1
     155: 1
     156: 1
     157: 1
     158: 1
     159: q+1
     160: q+1
     161: q+1
     162: 2q+1
     163: 2q+1
     164: q+1
     165: q+1
     167: 1
     168: 1
     169: q+1
     170: 1
     172: 2q+1
     173: 2q+1
     174: 2q+1
     175: q+1
     176: q+1
     177: 1
     178: 1
     179: 1
     180: 1
     181: 1
     182: 1
     183: 1
     184: 1
     185: 1
     186: 1
     189: q+1
     190: q+1
     191: q+1
     192: q+1
     194: 1
     195: 1
     196: 1
     197: q+1
     198: 2q+1
     199: q+1
     200: q+1
     201: q+1
     202: 2q+1
     203: q+1
     204: q+1
     205: q+1
     206: 1
     207: 1
     208: 1
     209: 1
     210: 1
     211: 1
     212: 1
     213: 1
     214: 1
     215: 1
     216: 1
     217: q+1
     218: q+1
     219: 1
     220: 1
     221: q+1
     222: 1
     224: 1
     225: 1
     226: q+1
     227: 1
     229: 1
     230: 1
     231: 1
     232: 1
     233: 1
     234: 1
     235: 1
     236: 1
     237: 1
     238: 1
     240: q+1
     243: 1
     244: 1
     245: 1
     246: 1
     247: 1
     248: q+1
     249: q+1
     250: q+1
     252: 1
     253: 1
     254: 1
     255: q+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: q+1
     279: 1
     280: 1
     281: q+1
     282: 1
     284: 1
     285: 1
     286: 1
     287: 1
     288: 1
     296: 1
     297: 1
     298: 1
     302: q+1
     305: 1
     306: 1
     307: 1
     308: 1
     309: 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
     329: 1
     348: 1
     356: 1
     357: 1
     358: 1
     361: 1
     362: 1
     363: 1
     364: 1
     365: 1
     370: 1
     371: 1
     372: 1
     373: 1
     412: 1
     416: 1
     417: 1
     418: 1
     426: 1
     466: 1

467:   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^3+q+1
      10: q+1
      11: q+1
      12: q+1
      14: 1
      15: q^3+q+1
      16: q+1
      17: 1
      18: q+1
      19: 1
      20: 1
      21: q+1
      22: 1
      23: q+1
      24: 1
      25: 1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      30: 1
      31: q+1
      32: q+1
      33: q+1
      34: q+1
      35: 1
      36: q+1
      37: q+1
      38: q+1
      39: q+1
      40: 1
      41: 1
      42: 1
      43: 1
      45: 1
      46: q+1
      47: q+1
      48: q+1
      49: q+1
      50: q^3+q+1
      51: 1
      52: 1
      53: q+1
      54: 1
      55: 1
      56: 1
      57: q+1
      58: q+1
      59: q+1
      60: q+1
      61: q+1
      62: 1
      63: q+1
      64: 1
      65: 1
      66: q+1
      67: q+1
      68: q+1
      69: q+1
      70: 1
      71: q+1
      72: q+1
      73: q+1
      74: q+1
      75: 1
      76: 1
      77: 1
      79: 1
      80: 1
      81: 1
      82: 1
      84: 1
      85: 1
      86: q+1
      87: q+1
      88: q+1
      89: q+1
      90: q^3+q+1
      91: 1
      92: q+1
      93: 1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     101: q+1
     102: q+1
     103: q+1
     104: 1
     105: 1
     106: 1
     107: q+1
     108: q+1
     109: q+1
     110: q+1
     111: q+1
     112: 1
     113: q+1
     114: 1
     115: 1
     116: q+1
     117: q+1
     118: q+1
     119: q+1
     120: 1
     121: 1
     122: 1
     124: 1
     125: 1
     126: 1
     127: 1
     129: 1
     130: 1
     131: 1
     132: 1
     134: 1
     135: 1
     136: 1
     137: 1
     138: 1
     139: q+1
     140: 1
     141: 1
     142: 1
     143: 1
     144: 1
     145: 1
     147: q+1
     148: q+1
     149: 1
     150: 1
     151: 1
     152: 1
     153: 1
     156: 1
     157: 1
     158: 1
     159: q+1
     160: q+1
     161: q+1
     162: q+1
     163: q+1
     164: 1
     165: 1
     166: 1
     167: 1
     168: 1
     170: 1
     171: 1
     172: 1
     173: 1
     175: 1
     176: 1
     177: 1
     178: 1
     180: 1
     181: 1
     182: 1
     183: 1
     185: 1
     186: 1
     187: 1
     188: 1
     189: 1
     190: 1
     191: 1
     192: 1
     193: 1
     194: 1
     195: 1
     198: q+1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     207: 1
     208: 1
     209: 1
     211: 1
     212: 1
     213: 1
     215: 1
     216: 1
     217: q+1
     218: q+1
     224: 1
     225: 1
     227: 1
     228: 1
     229: 1
     230: 1
     232: 1
     233: 1
     234: 1
     235: 1
     237: 1
     238: 1
     239: 1
     240: 1
     241: 1
     245: 1
     248: 1
     249: 1
     250: 1
     251: 1
     252: 1
     253: 1
     257: 1
     258: 1
     259: 1
     261: 1
     262: 1
     265: 1
     266: 1
     267: 1
     268: 1
     269: 1
     271: 1
     272: q+1
     284: 1
     285: 1
     287: 1
     288: 1
     289: 1
     290: 1
     292: 1
     293: 1
     294: 1
     302: 1
     303: 1
     307: 1
     313: 1
     314: 1
     315: 1
     316: 1
     317: 1
     319: 1
     322: 1
     323: 1
     324: 1
     325: 1
     326: 1
     327: 1
     337: 1
     338: 1
     340: 1
     341: 1
     354: 1
     363: 1
     364: 1
     365: 1
     366: 1
     367: 1
     368: 1
     373: 1
     374: 1
     378: 1
     418: 1
     419: 1
     423: 1
     427: 1
     467: 1

468:   0: q+1
       1: q+1
       3: 1
       4: q+1
       5: q+1
       6: 1
       7: q+1
       9: q+1
      10: 1
      11: q+1
      12: q+1
      14: 1
      15: q+1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      20: q+1
      21: q+1
      22: 1
      23: q+1
      24: q+1
      25: q+1
      26: q+1
      27: 1
      28: q+1
      29: q+1
      30: q+1
      31: q+1
      32: 1
      33: q+1
      34: q+1
      35: q+1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      45: 1
      46: q+1
      47: q+1
      49: q+1
      50: q+1
      51: q+1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: q+1
      58: q+1
      59: q+1
      61: q+1
      62: 1
      63: q+1
      64: q+1
      65: q+1
      66: q+1
      67: 1
      68: q+1
      69: q+1
      70: q+1
      73: 1
      74: 1
      75: 1
      77: 1
      79: 1
      80: 1
      81: 1
      82: 1
      84: 1
      85: 1
      86: q+1
      87: q+1
      89: q+1
      90: q+1
      91: q+1
      92: 1
      93: 1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     101: q+1
     102: q+1
     104: 1
     105: 1
     106: 1
     107: q+1
     108: q+1
     109: q+1
     111: q+1
     112: 1
     113: q+1
     114: q+1
     115: q+1
     118: 1
     119: 1
     120: 1
     122: 1
     124: 1
     125: 1
     127: 1
     129: 1
     130: 1
     131: 1
     132: 1
     134: 1
     135: 1
     136: q+1
     137: 1
     138: 1
     139: 1
     141: 1
     142: 1
     143: 1
     144: 1
     147: q+1
     150: 1
     151: 1
     152: 1
     153: 1
     156: 1
     157: 1
     158: 1
     159: q+1
     160: q+1
     164: 1
     165: 1
     166: 1
     168: 1
     170: 1
     171: 1
     173: 1
     175: 1
     176: 1
     177: 1
     178: 1
     180: 1
     181: 1
     183: 1
     185: 1
     186: 1
     187: 1
     188: 1
     189: 1
     192: 1
     193: 1
     194: 1
     200: 1
     201: 1
     203: 1
     204: 1
     207: 1
     208: 1
     209: 1
     212: 1
     213: 1
     215: 1
     216: 1
     217: q+1
     220: 1
     222: 1
     223: 1
     225: 1
     227: 1
     228: 1
     230: 1
     232: 1
     233: 1
     235: 1
     237: 1
     238: 1
     239: 1
     241: 1
     242: 1
     243: 1
     250: 1
     251: 1
     252: 1
     258: 1
     259: 1
     261: 1
     262: 1
     266: 1
     267: 1
     269: 1
     271: 1
     280: 1
     282: 1
     283: 1
     285: 1
     287: 1
     288: 1
     290: 1
     292: 1
     293: 1
     295: 1
     303: 1
     304: 1
     305: 1
     314: 1
     315: 1
     317: 1
     319: 1
     324: 1
     325: 1
     326: 1
     338: 1
     340: 1
     341: 1
     343: 1
     345: 1
     346: 1
     355: 1
     365: 1
     366: 1
     367: 1
     374: 1
     375: 1
     376: 1
     396: 1
     398: 1
     399: 1
     419: 1
     420: 1
     421: 1
     428: 1
     468: 1

469:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: q+1
       6: q^2+2q+1
       7: q^2+2q+1
       8: q^2+2q+1
       9: q+1
      10: q+1
      11: q+1
      12: q^2+2q+1
      14: q+1
      15: q+1
      16: q+1
      17: q+1
      18: q+1
      19: 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
      31: q^2+2q+1
      32: q^2+2q+1
      33: q^2+2q+1
      34: q+1
      35: q+1
      36: q^2+2q+1
      37: q^2+2q+1
      38: q^2+2q+1
      39: q+1
      40: q+1
      41: q+1
      42: q+1
      43: 1
      45: 1
      46: q^2+2q+1
      47: q^2+2q+1
      48: q^2+2q+1
      49: q+1
      50: q+1
      51: q+1
      52: q+1
      53: q+1
      54: 1
      55: 1
      56: q+1
      57: q+1
      58: q+1
      59: q^2+2q+1
      60: q^2+2q+1
      61: q+1
      62: q+1
      63: q+1
      64: q+1
      66: q+1
      67: q+1
      68: q+1
      69: q+1
      71: q^2+2q+1
      72: q^2+2q+1
      73: q^2+2q+1
      74: q+1
      75: q+1
      76: q+1
      77: q+1
      79: 1
      80: 1
      81: q+1
      82: q+1
      84: 1
      85: 1
      86: q^2+2q+1
      87: q^2+2q+1
      88: q^2+2q+1
      89: q+1
      90: q+1
      92: q+1
      93: q+1
      94: q+1
      95: q+1
      96: 1
      97: 1
      98: 1
      99: 1
     101: q+1
     102: q+1
     103: q^2+2q+1
     104: 1
     105: 1
     106: q+1
     107: q+1
     108: q+1
     109: q^2+2q+1
     110: q^2+2q+1
     111: q+1
     112: q+1
     113: q+1
     114: q+1
     116: q+1
     117: q+1
     118: q+1
     119: q+1
     121: q+1
     122: q+1
     124: 1
     125: 1
     126: q+1
     127: q+1
     129: 1
     130: 1
     131: q+1
     132: q+1
     134: 1
     135: 1
     137: q+1
     139: q+1
     140: 1
     141: 1
     142: 1
     143: 1
     144: 1
     145: q+1
     147: q+1
     148: q+1
     149: q+1
     150: 1
     151: 1
     152: 1
     153: 1
     156: 1
     157: 1
     158: q+1
     159: q+1
     160: q+1
     161: q^2+2q+1
     162: q+1
     163: q+1
     164: q+1
     165: q+1
     167: 1
     168: 1
     170: 1
     172: q+1
     173: q+1
     175: 1
     176: 1
     177: q+1
     178: q+1
     180: 1
     181: 1
     182: q+1
     183: q+1
     185: 1
     186: 1
     189: q+1
     190: 1
     191: 1
     192: 1
     194: 1
     195: 1
     198: q+1
     199: 1
     200: 1
     201: 1
     202: q+1
     203: 1
     204: 1
     207: 1
     208: 1
     209: q+1
     211: q+1
     212: 1
     213: 1
     215: 1
     216: 1
     217: q+1
     218: q+1
     219: 1
     220: 1
     222: 1
     224: 1
     225: 1
     227: 1
     229: q+1
     230: q+1
     232: 1
     233: 1
     234: q+1
     235: q+1
     237: 1
     238: 1
     240: 1
     243: 1
     244: 1
     245: 1
     248: 1
     249: 1
     250: 1
     252: 1
     253: 1
     257: q+1
     258: 1
     259: 1
     261: 1
     262: 1
     265: 1
     266: 1
     267: 1
     268: q+1
     269: 1
     271: 1
     272: q+1
     279: 1
     280: 1
     282: 1
     284: q+1
     285: q+1
     287: 1
     288: 1
     289: 1
     290: 1
     292: 1
     296: 1
     302: 1
     305: 1
     306: 1
     307: 1
     313: 1
     314: 1
     315: 1
     316: q+1
     317: 1
     319: 1
     322: 1
     323: 1
     324: 1
     326: 1
     327: 1
     337: 1
     338: 1
     340: 1
     342: 1
     343: 1
     345: 1
     356: 1
     363: 1
     364: 1
     365: 1
     367: 1
     368: 1
     373: 1
     376: 1
     377: 1
     378: 1
     395: 1
     396: 1
     398: 1
     418: 1
     421: 1
     422: 1
     423: 1
     429: 1
     469: 1

470:   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
      10: q^2+q+1
      11: 2q+1
      12: q^2+q+1
      13: q^2+q+1
      16: q^2+q+1
      18: q^2+q+1
      26: 2q+1
      27: q^2+q+1
      28: 2q+1
      29: q^2+q+1
      31: 2q+1
      32: q^2+q+1
      33: 2q+1
      34: q^2+q+1
      36: 2q+1
      37: 2q+1
      38: q^2+q+1
      39: q^2+q+1
      41: q+1
      42: q+1
      43: q+1
      44: q+1
      46: 2q+1
      47: 2q+1
      48: 2q+1
      49: 2q+1
      53: q^2+q+1
      55: q+1
      56: q+1
      58: 2q+1
      59: 2q+1
      60: 2q+1
      66: 2q+1
      67: q^2+q+1
      68: 2q+1
      69: q^2+q+1
      71: 2q+1
      72: 2q+1
      73: q^2+q+1
      74: q^2+q+1
      76: q+1
      77: q+1
      78: q+1
      79: q+1
      81: q+1
      82: q+1
      83: q+1
      84: q+1
      86: q+1
      87: q+1
      88: q+1
      89: q+1
      92: q^2+q+1
      95: q+1
      97: q+1
      99: q+1
     100: 1
     102: 2q+1
     103: 2q+1
     105: q+1
     106: q+1
     108: q+1
     109: q+1
     110: q+1
     116: 2q+1
     117: 2q+1
     118: q^2+q+1
     119: q^2+q+1
     121: q+1
     122: q+1
     123: q+1
     124: q+1
     126: q+1
     127: q+1
     128: q+1
     129: q+1
     131: 1
     132: 1
     133: 1
     134: 1
     139: q^2+q+1
     140: q+1
     142: q+1
     145: q+1
     146: 1
     148: 2q+1
     149: q+1
     151: q+1
     153: q+1
     154: 1
     155: 1
     157: 1
     158: 1
     160: q+1
     161: q+1
     167: q+1
     168: q+1
     169: q+1
     170: q+1
     172: q+1
     173: q+1
     174: q+1
     175: q+1
     177: 1
     178: 1
     179: 1
     180: 1
     182: 1
     183: 1
     184: 1
     185: 1
     191: q+1
     194: q+1
     195: q+1
     196: 1
     197: 1
     199: q+1
     200: q+1
     202: q+1
     205: 1
     206: 1
     208: 1
     209: 1
     210: 1
     211: 1
     213: 1
     214: 1
     216: 1
     218: q+1
     224: q+1
     225: q+1
     226: q+1
     227: q+1
     229: 1
     230: 1
     231: 1
     232: 1
     234: 1
     235: 1
     236: 1
     237: 1
     245: q+1
     247: 1
     248: q+1
     252: q+1
     253: q+1
     254: 1
     255: 1
     256: 1
     257: 1
     259: 1
     260: 1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     268: 1
     270: 1
     284: 1
     285: 1
     286: 1
     287: 1
     289: 1
     290: 1
     291: 1
     292: 1
     297: 1
     307: q+1
     309: 1
     311: 1
     312: 1
     313: 1
     314: 1
     316: 1
     318: 1
     320: 1
     322: 1
     326: 1
     327: 1
     328: 1
     329: 1
     337: 1
     338: 1
     339: 1
     340: 1
     357: 1
     361: 1
     363: 1
     367: 1
     368: 1
     369: 1
     370: 1
     371: 1
     378: 1
     380: 1
     416: 1
     423: 1
     425: 1
     430: 1
     470: 1

471:   0: 2q^2+3q+1
       1: 2q+1
       2: 2q^2+3q+1
       3: q^3+2q^2+2q+1
       4: 2q^2+3q+1
       5: 2q+1
       6: q^2+q+1
       7: 2q+1
       8: 2q^2+3q+1
       9: 2q+1
      10: q^2+q+1
      11: 2q+1
      12: q^2+q+1
      13: q^3+2q^2+2q+1
      14: q^2+q+1
      15: 2q+1
      16: q^2+q+1
      17: q^2+q+1
      21: 2q+1
      22: q^2+q+1
      23: 2q+1
      24: q^2+q+1
      26: 2q+1
      27: q^2+q+1
      28: 2q+1
      29: q^2+q+1
      31: 2q+1
      32: q^2+q+1
      33: 2q+1
      36: 2q^2+3q+1
      37: 2q^2+3q+1
      38: q^2+q+1
      39: q^2+q+1
      40: q^2+q+1
      41: q^2+2q+1
      42: q+1
      43: q+1
      44: q^2+2q+1
      45: q+1
      46: 2q^2+3q+1
      47: 2q+1
      48: 2q^2+3q+1
      49: 2q+1
      50: 2q+1
      52: q^2+q+1
      53: q^2+q+1
      54: q+1
      55: q+1
      56: q+1
      57: 2q+1
      58: 2q+1
      59: 2q+1
      60: 2q^2+3q+1
      61: 2q+1
      62: q^2+q+1
      63: 2q+1
      64: q^2+q+1
      66: 2q+1
      67: q^2+q+1
      68: 2q+1
      71: 2q+1
      72: 2q+1
      73: q^2+q+1
      76: q^2+2q+1
      77: q+1
      78: q^2+2q+1
      79: q+1
      80: q+1
      81: q^2+2q+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^2+2q+1
      89: q+1
      90: q+1
      93: q^2+q+1
      95: q+1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     100: q+1
     101: 2q+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^2+2q+1
     111: 2q+1
     112: q^2+q+1
     113: 2q+1
     116: 2q+1
     117: 2q+1
     118: q^2+q+1
     121: q+1
     122: q+1
     123: q+1
     126: q^2+2q+1
     127: q+1
     128: q^2+2q+1
     129: q+1
     130: q+1
     131: q+1
     132: 1
     133: q+1
     134: 1
     135: 1
     140: q+1
     141: q+1
     144: q+1
     145: q+1
     146: 1
     147: 2q+1
     148: 2q+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: 1
     159: q+1
     160: q+1
     161: q+1
     162: 2q+1
     163: 2q+1
     164: q^2+q+1
     167: q+1
     168: q+1
     169: q+1
     172: q+1
     173: q+1
     174: q+1
     177: q+1
     178: 1
     179: q+1
     180: 1
     181: 1
     182: q+1
     183: 1
     184: q+1
     185: 1
     186: 1
     190: q+1
     195: q+1
     196: 1
     197: 1
     198: 2q+1
     199: q+1
     202: q+1
     203: q+1
     204: q+1
     205: 1
     206: q+1
     207: 1
     208: 1
     209: 1
     210: 1
     211: 1
     212: 1
     213: 1
     214: q+1
     215: 1
     216: 1
     217: q+1
     218: q+1
     219: q+1
     220: q+1
     221: q+1
     224: q+1
     225: q+1
     226: q+1
     229: q+1
     230: 1
     231: q+1
     232: 1
     233: 1
     234: 1
     235: 1
     236: 1
     244: q+1
     246: 1
     247: 1
     249: q+1
     253: q+1
     254: 1
     255: 1
     256: 1
     257: 1
     258: 1
     259: 1
     260: q+1
     261: 1
     262: 1
     263: 1
     264: 1
     265: 1
     268: 1
     269: 1
     270: 1
     271: 1
     272: q+1
     279: q+1
     280: q+1
     281: q+1
     284: 1
     285: 1
     286: 1
     289: 1
     290: 1
     291: 1
     298: 1
     306: q+1
     308: 1
     309: 1
     311: 1
     312: 1
     313: 1
     316: 1
     317: 1
     318: 1
     319: 1
     320: 1
     321: 1
     323: 1
     327: 1
     328: 1
     329: 1
     337: 1
     338: 1
     339: 1
     342: 1
     343: 1
     344: 1
     358: 1
     361: 1
     362: 1
     364: 1
     368: 1
     369: 1
     370: 1
     372: 1
     377: 1
     379: 1
     380: 1
     395: 1
     396: 1
     397: 1
     417: 1
     422: 1
     424: 1
     425: 1
     431: 1
     471: 1

472:   0: q^2+1
       1: 1
       2: q^2+1
       3: 1
       4: q^2+1
       6: q^4+1
       7: 1
       8: q^2+1
      12: q^4+1
      13: q^3+q^2+1
      31: 1
      32: 1
      33: 1
      36: q^2+1
      37: q^2+1
      38: q^4+1
      41: 1
      42: 1
      44: q^2+1
      46: q^2+1
      47: 1
      48: q^2+1
      56: 1
      59: 1
      60: q^2+1
      71: 1
      72: 1
      73: 1
      76: 1
      77: 1
      78: q^2+1
      81: 1
      82: 1
      83: q^2+1
      86: q^2+1
      87: 1
      88: q^2+1
      95: 1
     100: 1
     103: 1
     106: 1
     109: 1
     110: q^2+1
     121: 1
     122: 1
     123: 1
     126: 1
     127: 1
     128: q^2+1
     131: 1
     132: 1
     133: q^2+1
     145: 1
     146: 1
     149: 1
     154: 1
     155: 1
     158: 1
     161: 1
     172: 1
     173: 1
     174: 1
     177: 1
     178: 1
     179: q^2+1
     182: 1
     183: 1
     184: q^2+1
     197: 1
     202: 1
     205: 1
     206: 1
     209: 1
     210: 1
     211: 1
     214: 1
     229: 1
     230: 1
     231: q^2+1
     234: 1
     235: 1
     236: 1
     255: 1
     256: 1
     257: 1
     260: 1
     263: 1
     268: 1
     270: 1
     273: 1
     274: 1
     275: 1
     276: 1
     284: 1
     285: 1
     286: 1
     299: 1
     310: 1
     311: 1
     316: 1
     318: 1
     329: 1
     330: 1
     331: 1
     359: 1
     370: 1
     381: 1
     383: 1
     384: 1
     432: 1
     436: 1
     472: 1

473:   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: 1
      10: q+1
      11: q+1
      12: q+1
      13: q+1
      14: 1
      15: q^4+q+1
      16: q+1
      17: 1
      18: q+1
      19: 1
      20: 1
      21: 1
      22: 1
      23: q+1
      24: 1
      25: 1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      30: 1
      31: q+1
      32: q+1
      33: q+1
      34: q+1
      35: 1
      36: q+1
      37: q+1
      38: q+1
      39: q+1
      40: 1
      41: q+1
      42: q+1
      43: q+1
      44: q+1
      45: 1
      46: 1
      47: 1
      48: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: q+1
      54: 1
      55: q+1
      56: q+1
      57: 1
      58: 1
      59: 1
      60: 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: 1
      71: q+1
      72: q+1
      73: q+1
      74: q+1
      75: 1
      76: q+1
      77: q+1
      78: q+1
      79: q+1
      80: 1
      81: 1
      82: 1
      83: 1
      84: 1
      85: 1
      86: 1
      87: 1
      88: 1
      89: 1
      90: 1
      91: 1
      92: q+1
      93: 1
      94: 1
      95: q+1
      96: 1
      97: q+1
      98: 1
      99: q+1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: 1
     109: 1
     110: 1
     111: 1
     112: 1
     113: q+1
     114: 1
     115: 1
     116: q+1
     117: q+1
     118: q+1
     119: q+1
     120: 1
     121: q+1
     122: q+1
     123: q+1
     124: q+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: q+1
     140: q+1
     141: 1
     142: q+1
     143: 1
     144: 1
     145: q+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: q+1
     164: 1
     165: 1
     166: 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
     182: 1
     183: 1
     184: 1
     185: 1
     186: 1
     187: 1
     188: 1
     189: 1
     190: 1
     191: q+1
     192: 1
     193: 1
     194: q+1
     195: q+1
     196: 1
     197: 1
     198: 1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     210: 1
     211: 1
     212: 1
     213: 1
     214: 1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: q+1
     222: 1
     223: 1
     224: 1
     225: 1
     226: 1
     227: 1
     228: 1
     234: 1
     235: 1
     236: 1
     237: 1
     238: 1
     239: 1
     240: 1
     241: 1
     242: 1
     243: 1
     244: 1
     245: q+1
     246: 1
     247: 1
     248: 1
     249: 1
     250: 1
     251: 1
     252: 1
     253: 1
     254: 1
     255: 1
     263: 1
     264: 1
     265: 1
     266: 1
     267: 1
     268: 1
     269: 1
     270: 1
     271: 1
     272: 1
     289: 1
     290: 1
     291: 1
     292: 1
     293: 1
     294: 1
     295: 1
     296: 1
     297: 1
     298: 1
     302: 1
     303: 1
     307: 1
     309: 1
     320: 1
     321: 1
     322: 1
     323: 1
     324: 1
     325: 1
     326: 1
     327: 1
     328: 1
     329: 1
     347: 1
     348: 1
     354: 1
     357: 1
     371: 1
     372: 1
     373: 1
     374: 1
     378: 1
     380: 1
     403: 1
     426: 1
     427: 1
     430: 1
     473: 1

474:   0: 1
       1: 1
       2: 1
       3: q+1
       4: q+1
       5: 1
       6: q+1
       7: q+1
       8: q+1
       9: 1
      10: q+1
      11: q+1
      12: q+1
      14: q+1
      15: q+1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      20: q+1
      21: 1
      22: q+1
      23: q+1
      24: q+1
      25: q+1
      26: 1
      27: q+1
      28: q+1
      29: q+1
      30: q+1
      31: 1
      32: q+1
      33: q+1
      34: q+1
      35: q+1
      36: 1
      37: q+1
      38: q+1
      39: q+1
      40: q+1
      41: 1
      42: 1
      43: 1
      45: 1
      46: 1
      47: 1
      48: 1
      49: 1
      50: 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: q+1
      63: q+1
      64: q+1
      65: q+1
      66: 1
      67: q+1
      68: q+1
      69: q+1
      70: q+1
      71: 1
      72: q+1
      73: q+1
      74: q+1
      75: q+1
      76: 1
      77: 1
      79: 1
      80: 1
      81: 1
      82: 1
      84: 1
      85: 1
      86: 1
      87: 1
      88: 1
      89: 1
      90: 1
      91: q+1
      92: q+1
      93: q+1
      94: q+1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 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+1
     114: q+1
     115: q+1
     116: 1
     117: q+1
     118: q+1
     119: q+1
     120: q+1
     121: 1
     122: 1
     124: 1
     125: 1
     126: 1
     127: 1
     129: 1
     130: 1
     131: 1
     132: 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
     144: 1
     145: 1
     147: 1
     148: 1
     149: 1
     150: 1
     151: 1
     152: 1
     153: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     161: 1
     162: 1
     163: q+1
     164: q+1
     165: q+1
     166: q+1
     167: 1
     168: 1
     170: 1
     171: 1
     172: 1
     173: 1
     175: 1
     176: 1
     182: 1
     183: 1
     185: 1
     186: 1
     187: q+1
     188: q+1
     189: q+1
     190: 1
     191: 1
     192: 1
     193: 1
     194: 1
     195: 1
     198: 1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     211: 1
     212: 1
     213: 1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     222: 1
     223: 1
     224: 1
     225: 1
     227: 1
     228: 1
     234: 1
     235: 1
     237: 1
     238: 1
     239: q+1
     240: 1
     241: 1
     242: 1
     243: 1
     244: 1
     245: 1
     248: 1
     249: 1
     250: 1
     251: 1
     252: 1
     253: 1
     265: 1
     266: 1
     267: 1
     268: 1
     269: 1
     271: 1
     272: 1
     279: 1
     280: 1
     282: 1
     283: 1
     289: 1
     290: 1
     292: 1
     293: 1
     294: 1
     295: 1
     296: 1
     302: 1
     303: 1
     304: 1
     305: 1
     306: 1
     307: 1
     322: 1
     323: 1
     324: 1
     325: 1
     326: 1
     327: 1
     342: 1
     343: 1
     345: 1
     346: 1
     347: 1
     354: 1
     355: 1
     356: 1
     373: 1
     374: 1
     375: 1
     376: 1
     377: 1
     378: 1
     411: 1
     427: 1
     428: 1
     429: 1
     474: 1

475:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: q+1
       6: q^2+2q+1
       7: q^2+2q+1
       8: q^2+2q+1
       9: q+1
      10: q+1
      11: q+1
      12: q^2+2q+1
      13: q^2+2q+1
      14: q+1
      15: q+1
      16: q+1
      17: q+1
      18: q+1
      19: 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
      31: q^2+2q+1
      32: q^2+2q+1
      33: q^2+2q+1
      34: q+1
      35: q+1
      36: q^2+2q+1
      37: q^2+2q+1
      38: q^2+2q+1
      39: q+1
      40: q+1
      41: q^2+2q+1
      42: q^2+2q+1
      43: q+1
      44: q^2+2q+1
      45: q+1
      46: q+1
      47: q+1
      48: q+1
      49: 1
      50: 1
      51: q+1
      52: q+1
      53: q+1
      54: q+1
      55: q+1
      56: q^2+2q+1
      57: 1
      58: 1
      59: q+1
      60: q+1
      61: q+1
      62: q+1
      63: q+1
      64: q+1
      66: q+1
      67: q+1
      68: q+1
      69: q+1
      71: q^2+2q+1
      72: q^2+2q+1
      73: q^2+2q+1
      74: q+1
      75: q+1
      76: q^2+2q+1
      77: q^2+2q+1
      78: q^2+2q+1
      79: q+1
      80: q+1
      81: q+1
      82: q+1
      83: q+1
      84: 1
      85: 1
      86: q+1
      87: q+1
      88: q+1
      89: 1
      90: 1
      92: q+1
      93: q+1
      94: q+1
      95: q^2+2q+1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     100: q+1
     101: 1
     102: 1
     103: q+1
     104: 1
     105: 1
     106: q+1
     107: 1
     108: 1
     109: q+1
     110: q+1
     111: q+1
     112: q+1
     113: q+1
     114: q+1
     116: q+1
     117: q+1
     118: q+1
     119: q+1
     121: q^2+2q+1
     122: q^2+2q+1
     123: q^2+2q+1
     124: q+1
     125: q+1
     126: q+1
     127: q+1
     128: q+1
     129: 1
     130: 1
     131: q+1
     132: q+1
     133: q+1
     134: 1
     135: 1
     137: q+1
     139: q+1
     140: q+1
     141: q+1
     142: q+1
     143: q+1
     144: q+1
     145: q^2+2q+1
     146: q+1
     147: 1
     148: 1
     149: q+1
     150: 1
     151: 1
     152: 1
     153: 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: q+1
     164: q+1
     165: q+1
     167: q+1
     168: q+1
     169: q+1
     170: q+1
     172: q+1
     173: q+1
     174: q+1
     175: 1
     176: 1
     182: q+1
     183: q+1
     184: q+1
     185: 1
     186: 1
     189: q+1
     190: q+1
     191: q+1
     192: q+1
     194: q+1
     195: q+1
     196: 1
     197: q+1
     198: 1
     199: 1
     200: 1
     201: 1
     202: q+1
     203: 1
     204: 1
     205: q+1
     210: q+1
     211: q+1
     212: 1
     213: 1
     214: q+1
     215: 1
     216: 1
     217: 1
     218: 1
     219: q+1
     220: q+1
     221: q+1
     222: q+1
     224: 1
     225: 1
     226: 1
     227: 1
     234: q+1
     235: q+1
     236: q+1
     237: 1
     238: 1
     240: q+1
     243: q+1
     244: q+1
     245: q+1
     246: 1
     247: 1
     248: 1
     249: 1
     250: 1
     252: 1
     253: 1
     254: 1
     255: q+1
     263: q+1
     264: 1
     265: 1
     266: 1
     267: 1
     268: q+1
     269: 1
     270: q+1
     271: 1
     272: 1
     279: 1
     280: 1
     281: 1
     282: 1
     289: 1
     290: 1
     291: 1
     292: 1
     296: q+1
     297: 1
     298: 1
     302: 1
     305: 1
     306: 1
     307: 1
     308: 1
     309: 1
     320: 1
     321: 1
     322: 1
     323: 1
     324: 1
     326: 1
     327: 1
     328: 1
     329: q+1
     342: 1
     343: 1
     344: 1
     345: 1
     348: 1
     356: 1
     357: 1
     358: 1
     371: 1
     372: 1
     373: 1
     376: 1
     377: 1
     378: 1
     379: 1
     380: 1
     412: 1
     426: 1
     429: 1
     430: 1
     431: 1
     475: 1

476:   0: q+1
       1: q^3+1
       2: q+1
       3: q+1
       4: q^2+q+1
       5: q^3+1
       6: q^3+1
       7: 1
       8: q^2+q+1
      10: q^3+1
      11: 1
      12: q^3+1
      13: q^2+q+1
      16: q^3+1
      26: q^3+1
      27: q^3+1
      28: 1
      29: q^3+1
      31: 1
      32: 1
      33: 1
      36: q+1
      37: q^2+q+1
      38: q^3+1
      39: q^3+1
      41: q+1
      42: q^3+1
      43: q^3+1
      44: q^2+q+1
      46: q+1
      47: 1
      48: q+1
      49: 1
      53: q^3+1
      55: q^3+1
      56: 1
      58: 1
      59: 1
      60: q+1
      66: 1
      67: 1
      68: 1
      71: 1
      72: 1
      73: 1
      76: q+1
      77: q^3+1
      78: q^2+q+1
      79: q^3+1
      81: q+1
      82: 1
      83: q+1
      84: 1
      86: q+1
      87: 1
      88: q+1
      89: 1
      95: 1
      97: 1
      99: q^3+1
     100: q+1
     102: 1
     103: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: q+1
     116: 1
     117: 1
     118: 1
     121: 1
     122: 1
     123: 1
     126: q+1
     127: 1
     128: q+1
     129: 1
     131: q+1
     132: 1
     133: q+1
     134: 1
     140: 1
     145: 1
     146: 1
     148: 1
     149: 1
     151: 1
     153: 1
     154: q+1
     155: q+1
     157: 1
     158: 1
     160: 1
     161: 1
     167: 1
     168: 1
     169: 1
     172: 1
     173: 1
     174: 1
     177: 1
     178: 1
     179: q+1
     180: 1
     182: q+1
     183: 1
     184: q+1
     185: 1
     195: 1
     196: 1
     197: 1
     199: 1
     202: 1
     205: 1
     206: 1
     208: 1
     209: 1
     210: 1
     211: 1
     213: 1
     214: q+1
     216: 1
     218: 1
     224: 1
     225: 1
     226: 1
     229: 1
     230: 1
     231: q+1
     232: 1
     234: 1
     235: 1
     236: 1
     247: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     259: 1
     260: 1
     262: 1
     263: 1
     264: 1
     265: 1
     268: 1
     270: 1
     273: 1
     274: 1
     275: 1
     276: q+1
     277: 1
     289: 1
     290: 1
     291: 1
     299: 1
     301: 1
     309: 1
     310: 1
     311: 1
     312: 1
     313: 1
     320: 1
     327: 1
     328: 1
     329: 1
     330: 1
     331: 1
     349: 1
     359: 1
     361: 1
     380: 1
     381: 1
     382: 1
     383: 1
     413: 1
     432: 1
     433: 1
     476: 1

477:   0: q^3+2q+1
       1: q^3+2q+1
       2: q^2+2q+1
       3: q^3+2q+1
       4: q^2+2q+1
       6: q^3+2q+1
       7: q^2+2q+1
       8: q^3+2q^2+2q+1
      12: q^4+q^3+q+1
      13: q^3+2q^2+2q+1
      31: q^3+2q+1
      32: q^3+2q+1
      33: q^2+2q+1
      36: 2q+1
      37: q^2+2q+1
      38: q^3+q+1
      41: q^3+2q+1
      42: q^3+2q+1
      44: q^3+2q^2+2q+1
      46: 2q+1
      47: 2q+1
      48: q^2+2q+1
      56: q^3+2q+1
      59: 2q+1
      60: 2q+1
      71: 2q+1
      72: q^2+2q+1
      73: q^3+q+1
      76: 2q+1
      77: q^3+q+1
      78: q^2+2q+1
      81: 2q+1
      82: 2q+1
      83: q^2+2q+1
      86: 2q+1
      87: 2q+1
      88: q^2+2q+1
      95: q+1
     100: 2q+1
     103: 2q+1
     106: 2q+1
     109: 2q+1
     110: 2q+1
     121: 2q+1
     122: q^3+q+1
     123: q^2+2q+1
     126: 2q+1
     127: q+1
     128: 2q+1
     131: 2q+1
     132: 2q+1
     133: q^2+2q+1
     145: q+1
     146: 2q+1
     149: q+1
     154: 2q+1
     155: 2q+1
     158: 2q+1
     161: 2q+1
     172: 2q+1
     173: q+1
     174: 2q+1
     177: q+1
     178: q+1
     179: q^2+2q+1
     182: 2q+1
     183: q+1
     184: 2q+1
     197: q+1
     202: q+1
     205: 2q+1
     206: q+1
     209: q+1
     210: 2q+1
     211: q+1
     214: 2q+1
     229: 1
     230: 1
     231: q+1
     234: 2q+1
     235: q+1
     236: 2q+1
     255: q+1
     256: q+1
     257: 1
     260: 1
     263: q+1
     268: q+1
     270: 2q+1
     273: q+1
     274: 1
     275: 1
     276: q+1
     284: 1
     285: 1
     286: q+1
     299: 1
     310: 1
     311: 1
     316: 1
     318: 1
     329: q+1
     330: q+1
     331: 1
     332: 1
     333: 1
     334: q+1
     352: 1
     359: 1
     360: 1
     370: 1
     381: 1
     383: 1
     384: 1
     415: 1
     432: 1
     435: 1
     436: 1
     477: 1

478:   0: q+1
       1: q+1
       2: q+1
       3: 1
       4: q+1
       6: 1
       7: q+1
       8: q+1
      12: 1
      13: q^2+q+1
      31: q+1
      32: 1
      33: q+1
      36: q+1
      37: q+1
      38: 1
      41: 1
      42: 1
      44: q+1
      46: q+1
      47: q+1
      48: q+1
      56: 1
      59: q+1
      60: q+1
      71: q+1
      72: q+1
      73: 1
      76: 1
      77: 1
      78: q+1
      81: 1
      82: 1
      83: q+1
      86: q+1
      87: q+1
      88: q+1
      95: 1
     100: 1
     103: q+1
     106: 1
     109: q+1
     110: q+1
     121: 1
     122: 1
     123: q+1
     126: 1
     127: 1
     128: q+1
     131: 1
     132: 1
     133: q+1
     145: 1
     146: 1
     149: 1
     154: 1
     155: 1
     158: 1
     161: q+1
     172: 1
     173: 1
     174: q+1
     177: 1
     178: 1
     179: q+1
     182: 1
     183: 1
     184: q+1
     197: 1
     202: 1
     205: 1
     206: 1
     209: 1
     210: 1
     211: 1
     214: 1
     229: 1
     230: 1
     231: q+1
     234: 1
     235: 1
     236: q+1
     255: 1
     256: 1
     257: 1
     260: 1
     263: 1
     268: 1
     270: 1
     273: 1
     274: 1
     276: 1
     284: 1
     285: 1
     286: q+1
     310: 1
     311: 1
     316: 1
     318: 1
     329: 1
     330: 1
     331: 1
     332: 1
     334: 1
     360: 1
     370: 1
     381: 1
     383: 1
     384: 1
     385: 1
     387: 1
     410: 1
     435: 1
     436: 1
     478: 1

479:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+1
       3: q^3+q^2+q+1
       4: q^2+2q+1
       5: q^4+q^2+q+1
       6: q^3+q^2+q+1
       7: q^2+2q+1
       8: q^2+2q+1
      10: q^2+1
      11: q+1
      12: q^3+q^2+q+1
      13: q^3+2q^2+2q+1
      16: q^2+1
      18: q^2+1
      26: q^2+q+1
      27: q^2+1
      28: q+1
      29: q^2+1
      31: q^2+2q+1
      32: q^3+q^2+q+1
      33: q^2+2q+1
      34: q^2+1
      36: q^2+2q+1
      37: q^2+2q+1
      38: q^3+q^2+q+1
      39: q^2+1
      41: q^2+q+1
      42: q^2+q+1
      43: q^2+1
      44: q^2+2q+1
      46: 2q+1
      47: 2q+1
      48: 2q+1
      49: q+1
      53: q^2+1
      55: q^2+1
      56: q^2+q+1
      58: q+1
      59: 2q+1
      60: 2q+1
      66: q^2+q+1
      67: q^2+1
      68: q+1
      69: q^2+1
      71: q^2+2q+1
      72: q^2+2q+1
      73: q^3+q^2+q+1
      74: q^2+1
      76: q^2+q+1
      77: q^2+q+1
      78: q^2+2q+1
      79: q^2+1
      81: q+1
      82: q+1
      83: 2q+1
      84: 1
      86: 2q+1
      87: 2q+1
      88: 2q+1
      89: q+1
      92: q^2+1
      95: q^2+q+1
      97: q^2+1
      99: q^2+1
     100: q+1
     102: q+1
     103: 2q+1
     105: 1
     106: q+1
     108: q+1
     109: 2q+1
     110: 2q+1
     116: q^2+q+1
     117: q+1
     118: q^2+1
     119: q^2+1
     121: q^2+q+1
     122: q^2+q+1
     123: q^2+2q+1
     124: q^2+1
     126: q+1
     127: q+1
     128: 2q+1
     129: 1
     131: q+1
     132: q+1
     133: 2q+1
     134: 1
     139: q^2+1
     140: q^2+1
     142: q^2+1
     145: q^2+q+1
     146: q+1
     148: q+1
     149: q+1
     151: 1
     153: 1
     154: q+1
     155: q+1
     157: 1
     158: q+1
     160: q+1
     161: 2q+1
     167: 1
     168: 1
     169: q+1
     170: 1
     172: q+1
     173: q+1
     174: 2q+1
     175: 1
     177: 1
     178: 1
     179: q+1
     180: 1
     182: q+1
     183: q+1
     184: 2q+1
     185: 1
     191: q^2+1
     194: 1
     195: 1
     196: 1
     197: q+1
     199: 1
     200: 1
     202: q+1
     205: q+1
     206: 1
     208: 1
     209: 1
     210: q+1
     211: q+1
     213: 1
     214: q+1
     216: 1
     218: q+1
     224: 1
     225: 1
     226: q+1
     227: 1
     229: 1
     230: 1
     231: q+1
     232: 1
     234: q+1
     235: q+1
     236: 2q+1
     237: 1
     245: 1
     247: 1
     248: 1
     252: 1
     253: 1
     254: 1
     255: q+1
     256: 1
     257: 1
     259: 1
     260: 1
     262: 1
     263: q+1
     264: 1
     265: 1
     266: 1
     268: q+1
     270: q+1
     273: 1
     284: 1
     285: 1
     286: q+1
     287: 1
     289: 1
     290: 1
     291: q+1
     292: 1
     297: 1
     307: 1
     309: 1
     311: 1
     312: 1
     313: 1
     314: 1
     316: 1
     318: 1
     320: 1
     322: 1
     326: 1
     327: 1
     328: 1
     329: q+1
     330: 1
     331: 1
     357: 1
     361: 1
     363: 1
     370: 1
     371: 1
     378: 1
     380: 1
     381: 1
     382: 1
     384: 1
     416: 1
     430: 1
     433: 1
     436: 1
     479: 1

480:   0: q^2+2q+1
       1: q^3+q^2+q+1
       2: q^2+2q+1
       3: q^3+q^2+q+1
       4: q^2+2q+1
       5: q^3+q^2+q+1
       6: q^2+1
       7: q+1
       8: q^2+2q+1
       9: q^3+q^2+q+1
      10: q^2+1
      11: q+1
      12: q^2+1
      13: q^3+2q^2+2q+1
      14: q^2+1
      15: q+1
      16: q^2+1
      17: q^2+1
      21: q^3+q^2+q+1
      22: q^2+1
      23: q+1
      24: q^2+1
      26: q^3+q^2+q+1
      27: q^2+1
      28: q+1
      29: q^2+1
      31: q^2+q+1
      32: q^2+1
      33: q+1
      36: q^2+2q+1
      37: q^2+2q+1
      38: q^2+1
      39: q^2+1
      40: q^2+1
      41: q^2+q+1
      42: q^2+1
      43: q^2+1
      44: q^2+2q+1
      45: q^2+1
      46: 2q+1
      47: q+1
      48: 2q+1
      49: q+1
      50: q+1
      52: q^2+1
      53: q^2+1
      54: q^2+1
      55: q^2+1
      56: q^2+1
      57: q+1
      58: q+1
      59: q+1
      60: 2q+1
      61: q^3+q^2+q+1
      62: q^2+1
      63: q+1
      64: q^2+1
      66: q^2+q+1
      67: q^2+1
      68: q+1
      71: q^2+q+1
      72: q+1
      73: q^2+1
      76: q^2+q+1
      77: q^2+1
      78: q^2+2q+1
      79: q^2+1
      80: q^2+1
      81: q+1
      82: 1
      83: 2q+1
      84: 1
      85: 1
      86: 2q+1
      87: q+1
      88: 2q+1
      89: q+1
      90: q+1
      93: q^2+1
      95: q^2+1
      96: q^2+1
      97: q^2+1
      98: q^2+1
      99: q^2+1
     100: q+1
     101: q+1
     102: q+1
     103: q+1
     104: 1
     105: 1
     106: 1
     107: q+1
     108: q+1
     109: q+1
     110: 2q+1
     111: q^2+q+1
     112: q^2+1
     113: q+1
     116: q^2+q+1
     117: q+1
     118: q^2+1
     121: 1
     122: 1
     123: q+1
     126: q+1
     127: 1
     128: 2q+1
     129: 1
     130: 1
     131: q+1
     132: 1
     133: 2q+1
     134: 1
     135: 1
     140: q^2+1
     141: q^2+1
     144: q^2+1
     145: 1
     146: 1
     147: q+1
     148: q+1
     149: 1
     150: 1
     151: 1
     152: 1
     153: 1
     154: q+1
     155: q+1
     156: 1
     157: 1
     158: 1
     159: q+1
     160: q+1
     161: q+1
     162: q^2+q+1
     163: q+1
     164: q^2+1
     167: 1
     168: 1
     169: q+1
     172: 1
     173: 1
     174: q+1
     177: 1
     178: 1
     179: q+1
     180: 1
     181: 1
     182: q+1
     183: 1
     184: 2q+1
     185: 1
     186: 1
     190: q^2+1
     195: 1
     196: 1
     197: 1
     198: q+1
     199: 1
     202: 1
     203: 1
     204: 1
     205: 1
     206: 1
     207: 1
     208: 1
     209: 1
     210: 1
     211: 1
     212: 1
     213: 1
     214: q+1
     215: 1
     216: 1
     217: q+1
     218: q+1
     219: 1
     220: 1
     221: q+1
     224: 1
     225: 1
     226: q+1
     229: 1
     230: 1
     231: q+1
     232: 1
     233: 1
     234: 1
     235: 1
     236: q+1
     244: 1
     246: 1
     247: 1
     249: 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
     268: 1
     269: 1
     270: 1
     271: 1
     272: q+1
     273: 1
     279: 1
     280: 1
     281: q+1
     289: 1
     290: 1
     291: q+1
     298: 1
     306: 1
     308: 1
     309: 1
     311: 1
     312: 1
     313: 1
     317: 1
     319: 1
     320: 1
     321: 1
     323: 1
     327: 1
     328: 1
     329: 1
     330: 1
     331: 1
     342: 1
     343: 1
     344: q+1
     358: 1
     361: 1
     362: 1
     364: 1
     372: 1
     377: 1
     379: 1
     380: 1
     381: 1
     382: 1
     417: 1
     431: 1
     433: 1
     434: 1
     480: 1

481:   0: 1
       1: 1
       2: q^2+q+1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
       8: q^2+q+1
      10: 1
      11: 1
      13: q^2+q+1
      26: 1
      27: 1
      28: 1
      31: 1
      32: 1
      33: 1
      36: 1
      37: 1
      41: 1
      42: 1
      43: 1
      44: q^2+q+1
      46: 1
      47: 1
      48: q^2+q+1
      49: 1
      55: 1
      56: 1
      58: 1
      59: 1
      60: 1
      66: 1
      67: 1
      68: 1
      71: 1
      72: 1
      76: 1
      78: 1
      81: 1
      82: 1
      83: q^2+q+1
      84: 1
      86: 1
      87: 1
      88: q^2+q+1
      89: 1
      97: 1
     100: 1
     102: 1
     103: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: 1
     116: 1
     117: 1
     121: 1
     123: 1
     126: 1
     128: 1
     131: 1
     132: 1
     133: q^2+q+1
     134: 1
     146: 1
     148: 1
     153: 1
     154: 1
     155: 1
     157: 1
     158: 1
     160: 1
     161: 1
     167: 1
     169: 1
     172: 1
     174: 1
     177: 1
     178: 1
     179: q^2+q+1
     180: 1
     182: 1
     184: 1
     196: 1
     205: 1
     206: 1
     208: 1
     209: 1
     210: 1
     214: 1
     216: 1
     218: 1
     224: 1
     226: 1
     229: 1
     231: 1
     234: 1
     236: 1
     254: 1
     256: 1
     260: 1
     262: 1
     264: 1
     270: 1
     273: 1
     274: 1
     276: 1
     284: 1
     286: 1
     289: 1
     291: 1
     310: 1
     312: 1
     318: 1
     328: 1
     330: 1
     331: 1
     332: 1
     334: 1
     337: 1
     339: 1
     360: 1
     369: 1
     382: 1
     383: 1
     384: 1
     390: 1
     392: 1
     414: 1
     435: 1
     437: 1
     481: 1

482:   0: q^2+2q+1
       1: q+1
       2: q^2+2q+1
       3: q^4+q^3+q+1
       4: q^2+2q+1
       5: q+1
       6: q^3+1
       7: q+1
       8: q^2+2q+1
      10: q^3+1
      11: q+1
      12: q^3+1
      13: q^4+2q^3+2q^2+2q+1
      16: q^3+1
      26: q+1
      27: q^3+1
      28: q+1
      29: q^3+1
      31: q+1
      32: q^3+1
      33: q+1
      36: q^2+2q+1
      37: q^2+2q+1
      38: q^3+1
      39: q^3+1
      41: q+1
      42: 1
      43: 1
      44: q^2+2q+1
      46: q^2+2q+1
      47: q+1
      48: q^2+2q+1
      49: q+1
      53: q^3+1
      55: 1
      56: 1
      58: q+1
      59: q+1
      60: q^2+2q+1
      66: q+1
      67: q^3+1
      68: q+1
      71: q+1
      72: q+1
      73: q^3+1
      76: q+1
      77: 1
      78: q^2+2q+1
      79: 1
      81: q+1
      82: 1
      83: q^2+2q+1
      84: 1
      86: q^2+2q+1
      87: q+1
      88: q^2+2q+1
      89: q+1
      95: 1
      97: 1
      99: 1
     100: q+1
     102: q+1
     103: q+1
     105: 1
     106: 1
     108: q+1
     109: q+1
     110: q^2+2q+1
     116: q+1
     117: q+1
     118: q^3+1
     121: 1
     122: 1
     123: q+1
     126: q+1
     127: 1
     128: q^2+2q+1
     129: 1
     131: q+1
     132: 1
     133: q^2+2q+1
     134: 1
     140: 1
     145: 1
     146: 1
     148: q+1
     149: 1
     151: 1
     153: 1
     154: q+1
     155: q+1
     157: 1
     158: 1
     160: q+1
     161: q+1
     167: 1
     168: 1
     169: q+1
     172: 1
     173: 1
     174: q+1
     177: q+1
     178: 1
     179: q^2+2q+1
     180: 1
     182: q+1
     183: 1
     184: q^2+2q+1
     185: 1
     195: 1
     196: 1
     197: 1
     199: 1
     202: 1
     205: 1
     206: q+1
     208: 1
     209: 1
     210: 1
     211: 1
     213: 1
     214: q+1
     216: 1
     218: q+1
     224: 1
     225: 1
     226: q+1
     229: q+1
     230: 1
     231: q^2+2q+1
     232: 1
     234: 1
     235: 1
     236: q+1
     247: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     259: 1
     260: q+1
     262: 1
     263: 1
     264: 1
     265: 1
     268: 1
     270: 1
     273: q+1
     284: 1
     285: 1
     286: q+1
     289: 1
     290: 1
     291: q+1
     309: 1
     311: 1
     312: 1
     313: 1
     316: 1
     318: 1
     320: 1
     327: 1
     328: 1
     329: 1
     330: 1
     331: q+1
     337: 1
     338: 1
     339: q+1
     361: 1
     368: 1
     369: 1
     370: 1
     380: 1
     381: 1
     382: 1
     384: 1
     425: 1
     433: 1
     436: 1
     437: 1
     482: 1

483:   0: 1
       1: 1
       2: q^2+q+1
       3: q^3+1
       4: 1
       5: 1
       6: q^3+1
       7: 1
       8: q^2+q+1
       9: 1
      10: q^3+1
      11: 1
      13: q^3+q^2+q+1
      14: q^3+1
      15: 1
      21: 1
      22: q^3+1
      23: 1
      26: 1
      27: q^3+1
      28: 1
      31: 1
      32: q^3+1
      33: 1
      36: 1
      37: 1
      41: 1
      42: 1
      43: 1
      44: q^2+q+1
      45: 1
      46: 1
      47: 1
      48: q^2+q+1
      49: 1
      50: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: q^3+1
      63: 1
      66: 1
      67: q^3+1
      68: 1
      71: 1
      72: 1
      76: 1
      78: 1
      81: 1
      82: 1
      83: q^2+q+1
      84: 1
      85: 1
      86: 1
      87: 1
      88: q^2+q+1
      89: 1
      90: 1
      96: 1
      97: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: 1
     109: 1
     110: 1
     111: 1
     112: q^3+1
     113: 1
     116: 1
     117: 1
     121: 1
     123: 1
     126: 1
     128: 1
     131: 1
     132: 1
     133: q^2+q+1
     134: 1
     135: 1
     141: 1
     146: 1
     147: 1
     148: 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
     167: 1
     169: 1
     172: 1
     174: 1
     177: 1
     178: 1
     179: q^2+q+1
     180: 1
     181: 1
     182: 1
     184: 1
     196: 1
     198: 1
     204: 1
     205: 1
     206: 1
     207: 1
     208: 1
     209: 1
     210: 1
     214: 1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     221: 1
     224: 1
     226: 1
     229: 1
     231: 1
     234: 1
     236: 1
     246: 1
     254: 1
     256: 1
     260: 1
     261: 1
     262: 1
     264: 1
     270: 1
     271: 1
     272: 1
     273: 1
     279: 1
     281: 1
     284: 1
     286: 1
     289: 1
     291: 1
     308: 1
     312: 1
     318: 1
     319: 1
     321: 1
     328: 1
     330: 1
     331: 1
     337: 1
     339: 1
     342: 1
     344: 1
     362: 1
     369: 1
     379: 1
     382: 1
     384: 1
     395: 1
     397: 1
     424: 1
     434: 1
     437: 1
     483: 1

484:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+1
       3: q+1
       4: q+1
       5: q^2+2q+1
       6: q+1
       7: q+1
       8: q+1
      10: q+1
      11: q+1
      12: q+1
      13: q^2+q+1
      16: q+1
      18: q+1
      26: q^2+2q+1
      27: q+1
      28: q+1
      29: q+1
      31: q^2+2q+1
      32: q+1
      33: q+1
      34: q+1
      36: q^2+2q+1
      37: q+1
      38: q+1
      39: q+1
      41: q+1
      42: q+1
      43: q+1
      44: q+1
      46: q+1
      47: q+1
      48: q+1
      49: q+1
      53: q+1
      55: q+1
      56: q+1
      58: q+1
      59: q+1
      60: q+1
      66: q^2+2q+1
      67: q+1
      68: q+1
      69: q+1
      71: q^2+2q+1
      72: q+1
      73: q+1
      74: q+1
      76: q+1
      77: q+1
      78: q+1
      79: q+1
      81: 1
      82: 1
      83: q+1
      84: 1
      86: q+1
      87: q+1
      88: q+1
      89: q+1
      92: q+1
      95: q+1
      97: q+1
      99: q+1
     100: 1
     102: q+1
     103: q+1
     105: 1
     106: 1
     108: q+1
     109: q+1
     110: q+1
     116: q^2+2q+1
     117: q+1
     118: q+1
     119: q+1
     121: q+1
     122: q+1
     123: q+1
     124: q+1
     126: 1
     127: 1
     128: q+1
     129: 1
     131: 1
     132: 1
     133: q+1
     134: 1
     139: q+1
     140: q+1
     142: q+1
     145: q+1
     146: 1
     148: q+1
     149: 1
     151: 1
     153: 1
     154: 1
     155: 1
     157: 1
     158: 1
     160: q+1
     161: q+1
     167: q+1
     168: q+1
     169: q+1
     170: q+1
     172: 1
     173: 1
     174: q+1
     175: 1
     177: 1
     178: 1
     180: 1
     182: 1
     183: 1
     184: q+1
     185: 1
     191: q+1
     194: q+1
     195: q+1
     196: 1
     197: 1
     199: 1
     200: 1
     202: 1
     205: 1
     208: 1
     209: 1
     210: 1
     211: 1
     213: 1
     214: 1
     216: 1
     218: q+1
     224: 1
     225: 1
     226: q+1
     227: 1
     229: 1
     230: 1
     232: 1
     234: 1
     235: 1
     236: q+1
     237: 1
     245: q+1
     247: 1
     248: 1
     252: 1
     253: 1
     254: 1
     255: 1
     257: 1
     259: 1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     268: 1
     270: 1
     274: 1
     284: 1
     285: 1
     287: 1
     289: 1
     290: 1
     291: q+1
     292: 1
     297: 1
     307: 1
     309: 1
     313: 1
     314: 1
     316: 1
     320: 1
     322: 1
     326: 1
     327: 1
     328: 1
     329: 1
     332: 1
     337: 1
     338: 1
     340: 1
     357: 1
     363: 1
     367: 1
     368: 1
     371: 1
     378: 1
     380: 1
     385: 1
     390: 1
     423: 1
     430: 1
     438: 1
     484: 1

485:   0: q+1
       1: q+1
       2: q^2+q+1
       3: q^2+2q+1
       4: q+1
       5: q+1
       6: q^2+2q+1
       7: q+1
       8: q^2+q+1
      10: q^2+2q+1
      11: q+1
      12: q+1
      16: q+1
      18: q+1
      26: q+1
      27: q^2+2q+1
      28: q+1
      29: q+1
      31: q+1
      32: q^2+2q+1
      33: q+1
      34: q+1
      36: q+1
      37: q+1
      38: q+1
      39: q+1
      41: q+1
      42: q+1
      43: q+1
      46: q+1
      47: q+1
      48: q^2+q+1
      49: q+1
      53: q+1
      55: q+1
      56: q+1
      58: q+1
      59: q+1
      60: q+1
      66: q+1
      67: q^2+2q+1
      68: q+1
      69: q+1
      71: q+1
      72: q+1
      73: q+1
      74: q+1
      76: q+1
      77: 1
      79: 1
      81: q+1
      82: q+1
      84: q+1
      86: q+1
      87: q+1
      88: q^2+q+1
      89: q+1
      92: q+1
      95: 1
      97: q+1
      99: 1
     102: q+1
     103: q+1
     105: q+1
     106: q+1
     108: q+1
     109: q+1
     110: q+1
     116: q+1
     117: q+1
     118: q+1
     119: q+1
     121: q+1
     122: 1
     124: 1
     126: q+1
     127: 1
     129: 1
     131: q+1
     132: q+1
     134: q+1
     139: q+1
     140: 1
     142: 1
     145: 1
     148: q+1
     149: 1
     151: 1
     153: q+1
     157: q+1
     158: q+1
     160: q+1
     161: q+1
     167: q+1
     168: 1
     170: 1
     172: q+1
     173: 1
     175: 1
     177: q+1
     178: q+1
     180: q+1
     182: q+1
     183: 1
     185: 1
     191: 1
     194: 1
     195: 1
     199: 1
     200: 1
     202: 1
     208: q+1
     209: q+1
     211: 1
     213: 1
     216: q+1
     218: q+1
     224: q+1
     225: 1
     227: 1
     229: q+1
     230: 1
     232: 1
     234: q+1
     235: 1
     237: 1
     245: 1
     248: 1
     252: 1
     253: 1
     257: 1
     259: 1
     262: q+1
     265: 1
     266: 1
     268: 1
     275: 1
     277: 1
     284: q+1
     285: 1
     287: 1
     289: q+1
     290: 1
     292: 1
     301: 1
     307: 1
     313: 1
     314: 1
     316: 1
     322: 1
     326: 1
     327: 1
     333: 1
     335: 1
     337: q+1
     338: 1
     340: 1
     350: 1
     363: 1
     367: 1
     368: 1
     378: 1
     386: 1
     391: 1
     393: 1
     408: 1
     423: 1
     439: 1
     485: 1

486:   0: 1
       1: 1
       2: 1
       3: 1
       4: q^2+q+1
       5: 1
       6: 1
       7: q^2+q+1
       8: q^2+q+1
      10: 1
      11: q^2+q+1
      12: 1
      13: q^2+q+1
      16: 1
      18: 1
      26: 1
      27: 1
      28: q^2+q+1
      29: 1
      31: 1
      32: 1
      33: q^2+q+1
      34: 1
      36: 1
      37: q^2+q+1
      38: 1
      39: 1
      41: 1
      42: 1
      43: 1
      44: q^2+q+1
      46: 1
      47: 1
      48: 1
      49: 1
      53: 1
      55: 1
      56: 1
      58: 1
      59: 1
      60: 1
      66: 1
      67: 1
      68: q^2+q+1
      69: 1
      71: 1
      72: q^2+q+1
      73: 1
      74: 1
      76: 1
      77: 1
      78: q^2+q+1
      79: 1
      81: 1
      82: 1
      83: 1
      84: 1
      86: 1
      87: 1
      88: 1
      89: 1
      92: 1
      95: 1
      97: 1
      99: 1
     100: 1
     102: 1
     103: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: 1
     116: 1
     117: q^2+q+1
     118: 1
     119: 1
     121: 1
     122: 1
     123: q^2+q+1
     124: 1
     126: 1
     127: 1
     128: 1
     129: 1
     131: 1
     132: 1
     133: 1
     134: 1
     139: 1
     140: 1
     142: 1
     145: 1
     146: 1
     148: 1
     149: 1
     151: 1
     153: 1
     154: 1
     155: 1
     157: 1
     158: 1
     160: 1
     161: 1
     167: 1
     168: 1
     169: q^2+q+1
     170: 1
     172: 1
     173: 1
     174: 1
     175: 1
     179: 1
     182: 1
     183: 1
     184: 1
     185: 1
     191: 1
     194: 1
     195: 1
     196: 1
     197: 1
     199: 1
     200: 1
     202: 1
     205: 1
     210: 1
     211: 1
     213: 1
     214: 1
     216: 1
     218: 1
     224: 1
     225: 1
     226: 1
     227: 1
     231: 1
     234: 1
     235: 1
     236: 1
     237: 1
     245: 1
     247: 1
     248: 1
     252: 1
     253: 1
     254: 1
     255: 1
     263: 1
     264: 1
     265: 1
     266: 1
     268: 1
     270: 1
     276: 1
     286: 1
     289: 1
     290: 1
     291: 1
     292: 1
     297: 1
     307: 1
     309: 1
     320: 1
     322: 1
     326: 1
     327: 1
     328: 1
     329: 1
     334: 1
     339: 1
     357: 1
     371: 1
     378: 1
     380: 1
     387: 1
     392: 1
     430: 1
     440: 1
     486: 1

487:   0: 1
       1: 1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
      10: 1
      11: 1
      12: q+1
      16: q+1
      18: q+1
      26: 1
      27: 1
      28: 1
      29: q+1
      31: 1
      32: 1
      33: 1
      34: q+1
      38: 1
      39: 1
      41: 1
      42: 1
      43: 1
      46: 1
      47: 1
      49: 1
      53: 1
      55: 1
      56: 1
      58: 1
      59: 1
      66: 1
      67: 1
      68: 1
      69: q+1
      73: 1
      74: 1
      77: 1
      79: 1
      81: 1
      82: 1
      84: 1
      86: 1
      87: 1
      89: 1
      92: 1
      97: 1
      99: 1
     102: 1
     105: 1
     106: 1
     108: 1
     109: 1
     118: 1
     119: 1
     122: 1
     124: 1
     127: 1
     129: 1
     131: 1
     132: 1
     134: 1
     139: 1
     142: 1
     151: 1
     153: 1
     157: 1
     158: 1
     160: 1
     168: 1
     170: 1
     173: 1
     175: 1
     177: 1
     178: 1
     180: 1
     183: 1
     185: 1
     194: 1
     200: 1
     208: 1
     209: 1
     213: 1
     216: 1
     225: 1
     227: 1
     230: 1
     232: 1
     235: 1
     237: 1
     252: 1
     259: 1
     262: 1
     266: 1
     275: 1
     277: 1
     285: 1
     287: 1
     290: 1
     292: 1
     301: 1
     314: 1
     326: 1
     333: 1
     335: 1
     338: 1
     340: 1
     350: 1
     367: 1
     388: 1
     391: 1
     393: 1
     408: 1
     441: 1
     487: 1

488:   9: 1
      14: 1
      15: 1
      17: 1
      19: 1
      20: 1
      30: 1
      35: 1
      40: 1
      45: 1
      50: 1
      70: 1
      75: 1
      80: 1
      85: 1
      90: 1
     120: 1
     125: 1
     130: 1
     135: 1
     171: 1
     176: 1
     181: 1
     186: 1
     228: 1
     233: 1
     238: 1
     278: 1
     288: 1
     293: 1
     336: 1
     341: 1
     389: 1
     394: 1
     442: 1
     488: 1

489:   0: q^3+3q^2+3q+1
       1: q^2+2q+1
       2: q^3+3q^2+3q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: q^2+2q+1
       6: q+1
       7: q+1
       8: q^2+2q+1
       9: q^2+2q+1
      10: q+1
      11: q+1
      12: q+1
      13: q^3+2q^2+2q+1
      14: q+1
      15: q+1
      16: q+1
      17: q+1
      21: q^2+2q+1
      22: q+1
      23: q+1
      24: q+1
      26: q^2+2q+1
      27: q+1
      28: q+1
      29: q+1
      31: q^2+2q+1
      32: q+1
      33: q+1
      36: q^3+3q^2+3q+1
      37: q^2+2q+1
      38: q+1
      39: q+1
      40: q+1
      41: q^2+2q+1
      42: q+1
      43: q+1
      44: q^2+2q+1
      45: q+1
      46: q^2+2q+1
      47: q+1
      48: q^2+2q+1
      49: q+1
      50: 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^2+2q+1
      61: q^2+2q+1
      62: q+1
      63: q+1
      64: q+1
      66: q^2+2q+1
      67: q+1
      68: q+1
      71: q^2+2q+1
      72: q+1
      73: q+1
      76: q^2+2q+1
      77: q+1
      78: q^2+2q+1
      79: q+1
      80: q+1
      81: q+1
      82: 1
      83: q^2+2q+1
      84: 1
      85: 1
      86: q^2+2q+1
      87: q+1
      88: q^2+2q+1
      89: q+1
      90: q+1
      93: q+1
      95: q+1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     100: q+1
     101: q+1
     102: q+1
     103: q+1
     104: 1
     105: 1
     106: 1
     107: q+1
     108: q+1
     109: q+1
     110: q^2+2q+1
     111: q^2+2q+1
     112: q+1
     113: q+1
     116: q^2+2q+1
     117: q+1
     118: q+1
     121: q+1
     122: q+1
     123: q+1
     126: q+1
     127: 1
     128: q^2+2q+1
     129: 1
     130: 1
     131: q+1
     132: 1
     133: q^2+2q+1
     134: 1
     135: 1
     140: q+1
     141: q+1
     144: q+1
     145: q+1
     146: 1
     147: q+1
     148: q+1
     149: 1
     150: 1
     151: 1
     152: 1
     153: 1
     154: q+1
     155: q+1
     156: 1
     157: 1
     158: 1
     159: q+1
     160: q+1
     161: q+1
     162: q^2+2q+1
     163: q+1
     164: q+1
     167: q+1
     168: q+1
     169: q+1
     172: 1
     173: 1
     174: q+1
     177: q+1
     178: 1
     180: 1
     181: 1
     182: q+1
     183: 1
     184: q^2+2q+1
     185: 1
     186: 1
     190: q+1
     195: q+1
     196: 1
     197: 1
     198: q+1
     199: 1
     202: 1
     203: 1
     204: 1
     205: 1
     207: 1
     208: 1
     209: 1
     210: 1
     211: 1
     212: 1
     213: 1
     214: q+1
     215: 1
     216: 1
     217: q+1
     218: q+1
     219: q+1
     220: q+1
     221: q+1
     224: 1
     225: 1
     226: q+1
     229: q+1
     230: 1
     232: 1
     233: 1
     234: 1
     235: 1
     236: q+1
     244: q+1
     246: 1
     247: 1
     249: 1
     253: 1
     254: 1
     255: 1
     257: 1
     258: 1
     259: 1
     261: 1
     262: 1
     263: 1
     264: 1
     265: 1
     268: 1
     269: 1
     270: 1
     271: 1
     272: q+1
     274: q+1
     279: 1
     280: 1
     281: q+1
     284: 1
     285: 1
     289: 1
     290: 1
     291: q+1
     298: 1
     306: 1
     308: 1
     309: 1
     313: 1
     316: 1
     317: 1
     319: 1
     320: 1
     321: 1
     323: 1
     327: 1
     328: 1
     329: 1
     332: 1
     337: 1
     338: 1
     342: 1
     343: 1
     344: q+1
     358: 1
     364: 1
     368: 1
     372: 1
     377: 1
     379: 1
     380: 1
     385: 1
     390: 1
     395: 1
     396: 1
     422: 1
     431: 1
     438: 1
     443: 1
     489: 1

490:   0: q^2+q+1
       1: 1
       2: q^2+q+1
       3: q^3+2q^2+2q+1
       4: q^2+q+1
       5: 1
       6: q+1
       7: 1
       8: q^2+q+1
       9: 1
      10: q+1
      11: 1
      12: q+1
      14: q+1
      15: 1
      16: q+1
      17: q+1
      21: 1
      22: q+1
      23: 1
      24: q+1
      26: 1
      27: q+1
      28: 1
      29: q+1
      31: 1
      32: q+1
      33: 1
      36: q^2+q+1
      37: q^2+q+1
      38: q+1
      39: q+1
      40: q+1
      41: q^2+q+1
      42: 1
      43: 1
      45: 1
      46: q^2+q+1
      47: 1
      48: q^2+q+1
      49: 1
      50: 1
      52: q+1
      53: q+1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: q^2+q+1
      61: 1
      62: q+1
      63: 1
      64: q+1
      66: 1
      67: q+1
      68: 1
      71: 1
      72: 1
      73: q+1
      76: q^2+q+1
      77: 1
      79: 1
      80: 1
      81: q^2+q+1
      82: 1
      84: 1
      85: 1
      86: q^2+q+1
      87: 1
      88: q^2+q+1
      89: 1
      90: 1
      93: q+1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: 1
     109: 1
     110: q^2+q+1
     111: 1
     112: q+1
     113: 1
     116: 1
     117: 1
     118: q+1
     121: 1
     122: 1
     126: q^2+q+1
     127: 1
     129: 1
     130: 1
     131: q^2+q+1
     132: 1
     134: 1
     135: 1
     140: 1
     141: 1
     144: 1
     145: 1
     147: 1
     148: 1
     149: 1
     150: 1
     151: 1
     152: 1
     153: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     161: 1
     162: 1
     163: 1
     164: q+1
     167: 1
     168: 1
     172: 1
     173: 1
     177: q^2+q+1
     178: 1
     180: 1
     181: 1
     182: q^2+q+1
     183: 1
     185: 1
     186: 1
     190: 1
     195: 1
     198: 1
     199: 1
     202: 1
     203: 1
     204: 1
     207: 1
     208: 1
     209: 1
     211: 1
     212: 1
     213: 1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     224: 1
     225: 1
     229: q^2+q+1
     230: 1
     232: 1
     233: 1
     234: 1
     235: 1
     244: 1
     249: 1
     253: 1
     257: 1
     258: 1
     259: 1
     261: 1
     262: 1
     265: 1
     268: 1
     269: 1
     271: 1
     272: 1
     275: 1
     277: 1
     278: 1
     279: 1
     280: 1
     284: 1
     285: 1
     289: 1
     290: 1
     300: 1
     301: 1
     306: 1
     313: 1
     316: 1
     317: 1
     319: 1
     323: 1
     327: 1
     333: 1
     337: 1
     338: 1
     342: 1
     343: 1
     353: 1
     364: 1
     368: 1
     377: 1
     386: 1
     391: 1
     395: 1
     396: 1
     422: 1
     439: 1
     444: 1
     490: 1

491:   0: q+1
       1: 1
       2: q+1
       3: q+1
       4: q^3+2q^2+2q+1
       5: 1
       6: 1
       7: q^2+q+1
       8: q^3+2q^2+2q+1
       9: 1
      10: 1
      11: q^2+q+1
      12: 1
      13: q^3+2q^2+2q+1
      14: 1
      15: q^2+q+1
      16: 1
      17: 1
      21: 1
      22: 1
      23: q^2+q+1
      24: 1
      26: 1
      27: 1
      28: q^2+q+1
      29: 1
      31: 1
      32: 1
      33: q^2+q+1
      36: q+1
      37: q^3+2q^2+2q+1
      38: 1
      39: 1
      40: 1
      41: q+1
      42: 1
      43: 1
      44: q^3+2q^2+2q+1
      45: 1
      46: q+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: q+1
      61: 1
      62: 1
      63: q^2+q+1
      64: 1
      66: 1
      67: 1
      68: q^2+q+1
      71: 1
      72: q^2+q+1
      73: 1
      76: q+1
      77: 1
      78: q^3+2q^2+2q+1
      79: 1
      80: 1
      81: q+1
      82: 1
      83: q+1
      84: 1
      85: 1
      86: q+1
      87: 1
      88: q+1
      89: 1
      90: 1
      93: 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: 1
     108: 1
     109: 1
     110: q+1
     111: 1
     112: 1
     113: q^2+q+1
     116: 1
     117: q^2+q+1
     118: 1
     121: 1
     122: 1
     123: q^2+q+1
     126: q+1
     127: 1
     128: q+1
     129: 1
     130: 1
     131: q+1
     132: 1
     133: q+1
     134: 1
     135: 1
     140: 1
     141: 1
     144: 1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     151: 1
     152: 1
     153: 1
     154: q+1
     155: q+1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     161: 1
     162: 1
     163: q^2+q+1
     164: 1
     167: 1
     168: 1
     169: q^2+q+1
     172: 1
     173: 1
     174: 1
     179: q+1
     182: q+1
     183: 1
     184: q+1
     185: 1
     186: 1
     190: 1
     195: 1
     196: 1
     197: 1
     198: 1
     199: 1
     202: 1
     203: 1
     204: 1
     205: 1
     210: 1
     211: 1
     212: 1
     213: 1
     214: q+1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: q^2+q+1
     224: 1
     225: 1
     226: 1
     231: q+1
     234: 1
     235: 1
     236: 1
     244: 1
     246: 1
     247: 1
     249: 1
     253: 1
     254: 1
     255: 1
     263: 1
     264: 1
     265: 1
     268: 1
     269: 1
     270: 1
     271: 1
     272: 1
     276: q+1
     279: 1
     280: 1
     281: 1
     286: 1
     289: 1
     290: 1
     291: 1
     298: 1
     306: 1
     308: 1
     309: 1
     320: 1
     321: 1
     323: 1
     327: 1
     328: 1
     329: 1
     334: 1
     339: 1
     342: 1
     343: 1
     344: 1
     358: 1
     372: 1
     377: 1
     379: 1
     380: 1
     387: 1
     392: 1
     397: 1
     431: 1
     440: 1
     445: 1
     491: 1

492:   1: q+1
       5: 1
       6: q+1
       7: q+1
       9: 1
      10: 1
      11: 1
      12: q+1
      14: 1
      15: 1
      16: 1
      17: 1
      18: q+1
      19: q+1
      21: 1
      22: 1
      23: 1
      24: 1
      25: q+1
      26: 1
      27: 1
      28: 1
      29: 1
      34: 1
      35: 1
      38: q+1
      39: 1
      40: 1
      42: q+1
      43: 1
      45: 1
      47: q+1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      57: 1
      58: 1
      61: 1
      62: 1
      63: 1
      64: 1
      69: 1
      74: 1
      75: 1
      77: q+1
      79: 1
      80: 1
      82: q+1
      84: 1
      85: 1
      87: q+1
      89: 1
      90: 1
      93: 1
      94: 1
      96: 1
      98: 1
      99: 1
     101: 1
     104: 1
     105: 1
     107: 1
     108: 1
     114: 1
     119: 1
     124: 1
     125: 1
     127: q+1
     129: 1
     130: 1
     132: q+1
     134: 1
     135: 1
     143: 1
     144: 1
     150: 1
     151: 1
     152: 1
     156: 1
     157: 1
     159: 1
     165: 1
     170: 1
     175: 1
     176: 1
     178: q+1
     180: 1
     181: 1
     183: q+1
     185: 1
     186: 1
     201: 1
     203: 1
     207: 1
     208: 1
     212: 1
     213: 1
     215: 1
     222: 1
     227: 1
     230: q+1
     232: 1
     233: 1
     237: 1
     238: 1
     258: 1
     259: 1
     261: 1
     267: 1
     269: 1
     275: q+1
     277: 1
     278: 1
     282: 1
     287: 1
     288: 1
     292: 1
     300: 1
     301: 1
     315: 1
     317: 1
     335: 1
     336: 1
     340: 1
     345: 1
     351: 1
     353: 1
     388: 1
     389: 1
     393: 1
     398: 1
     401: 1
     441: 1
     446: 1
     492: 1

493:   5: q+1
       9: q+1
      10: q+1
      11: q+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: q+1
      24: q+1
      25: 1
      30: 1
      34: 1
      35: 1
      39: q+1
      40: q+1
      43: q+1
      45: q+1
      49: q+1
      50: q+1
      51: 1
      52: q+1
      54: q+1
      57: q+1
      65: 1
      70: 1
      74: 1
      75: 1
      79: q+1
      80: q+1
      84: q+1
      85: q+1
      89: q+1
      90: q+1
      94: 1
      98: q+1
     104: q+1
     107: q+1
     115: 1
     120: 1
     124: 1
     125: 1
     129: q+1
     130: q+1
     134: q+1
     135: q+1
     143: 1
     150: q+1
     156: q+1
     166: 1
     171: 1
     175: 1
     176: 1
     180: q+1
     181: q+1
     185: q+1
     186: q+1
     201: 1
     207: q+1
     212: q+1
     223: 1
     228: 1
     232: q+1
     233: q+1
     237: 1
     238: 1
     258: q+1
     267: 1
     277: q+1
     278: q+1
     283: 1
     287: 1
     288: 1
     293: 1
     300: q+1
     315: 1
     335: 1
     336: 1
     341: 1
     346: 1
     351: 1
     388: 1
     389: 1
     394: 1
     399: 1
     401: 1
     442: 1
     447: 1
     493: 1

494:   0: 1
       1: 1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
       9: q^2+q+1
      10: 1
      11: 1
      12: q+1
      14: q^2+q+1
      15: q^2+q+1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      20: q+1
      21: 1
      22: 1
      23: 1
      24: 1
      25: 1
      26: 1
      27: 1
      28: 1
      29: q+1
      30: q+1
      31: 1
      32: 1
      33: 1
      34: q+1
      35: q+1
      38: 1
      39: 1
      40: q+1
      41: 1
      42: 1
      43: 1
      45: q^2+q+1
      46: 1
      47: 1
      49: 1
      50: q^2+q+1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      61: 1
      62: 1
      63: 1
      64: 1
      65: 1
      66: 1
      67: 1
      68: 1
      69: q+1
      70: q+1
      73: 1
      74: 1
      75: q+1
      77: 1
      79: 1
      80: q+1
      81: 1
      82: 1
      84: 1
      85: q^2+q+1
      86: 1
      87: 1
      89: 1
      90: q^2+q+1
      91: 1
      92: 1
      93: 1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     101: 1
     102: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: 1
     109: 1
     111: 1
     112: 1
     113: 1
     114: 1
     115: 1
     118: 1
     119: 1
     120: q+1
     122: 1
     124: 1
     125: q+1
     127: 1
     129: 1
     130: q+1
     131: 1
     132: 1
     134: 1
     135: q^2+q+1
     136: 1
     137: 1
     138: 1
     139: 1
     141: 1
     142: 1
     143: 1
     144: 1
     147: 1
     150: 1
     151: 1
     152: 1
     153: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     168: 1
     170: 1
     171: q+1
     173: 1
     175: 1
     176: q+1
     177: 1
     178: 1
     180: 1
     181: q^2+q+1
     183: 1
     185: 1
     186: q+1
     187: 1
     192: 1
     193: 1
     194: 1
     200: 1
     201: 1
     203: 1
     204: 1
     207: 1
     208: 1
     209: 1
     212: 1
     213: 1
     215: 1
     216: 1
     217: 1
     225: 1
     227: 1
     228: q+1
     230: 1
     232: 1
     233: q+1
     235: 1
     237: 1
     238: q+1
     241: 1
     250: 1
     251: 1
     252: 1
     258: 1
     259: 1
     261: 1
     262: 1
     266: 1
     267: 1
     269: 1
     271: 1
     275: 1
     277: 1
     278: q+1
     285: 1
     287: 1
     288: q+1
     290: 1
     292: 1
     293: q+1
     300: 1
     301: 1
     303: 1
     314: 1
     315: 1
     317: 1
     319: 1
     324: 1
     325: 1
     326: 1
     333: 1
     335: 1
     336: q+1
     338: 1
     340: 1
     341: q+1
     350: 1
     351: 1
     353: 1
     365: 1
     366: 1
     367: 1
     374: 1
     388: 1
     389: 1
     391: 1
     393: 1
     394: q+1
     401: 1
     406: 1
     407: 1
     408: 1
     419: 1
     441: 1
     442: 1
     449: 1
     454: 1
     487: 1
     488: 1
     494: 1

495:   0: 1
       1: 1
       2: 1
       3: q+1
       4: 1
       5: 1
       6: q+1
       7: 1
       8: 1
      10: q+1
      11: 1
      12: q+1
      16: q+1
      18: q+1
      26: 1
      27: q+1
      28: 1
      29: q+1
      31: 1
      32: q+1
      33: 1
      34: q+1
      36: 1
      37: 1
      38: q+1
      39: q+1
      41: 1
      42: 1
      43: 1
      46: 1
      47: 1
      48: 1
      49: 1
      53: q+1
      55: 1
      56: 1
      58: 1
      59: 1
      60: 1
      66: 1
      67: q+1
      68: 1
      69: q+1
      71: 1
      72: 1
      73: q+1
      74: q+1
      76: 1
      77: 1
      79: 1
      81: 1
      82: 1
      84: 1
      86: 1
      87: 1
      88: 1
      89: 1
      92: q+1
      95: 1
      97: 1
      99: 1
     102: 1
     103: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: 1
     116: 1
     117: 1
     118: q+1
     119: q+1
     121: 1
     122: 1
     124: 1
     126: 1
     127: 1
     129: 1
     131: 1
     132: 1
     134: 1
     139: q+1
     140: 1
     142: 1
     145: 1
     148: 1
     149: 1
     151: 1
     153: 1
     157: 1
     158: 1
     160: 1
     161: 1
     167: 1
     168: 1
     170: 1
     172: 1
     173: 1
     175: 1
     177: 1
     178: 1
     180: 1
     182: 1
     183: 1
     185: 1
     191: 1
     194: 1
     195: 1
     199: 1
     200: 1
     202: 1
     208: 1
     209: 1
     211: 1
     213: 1
     216: 1
     218: 1
     224: 1
     225: 1
     227: 1
     229: 1
     230: 1
     232: 1
     234: 1
     235: 1
     237: 1
     245: 1
     248: 1
     252: 1
     253: 1
     257: 1
     259: 1
     262: 1
     265: 1
     266: 1
     268: 1
     275: 1
     277: 1
     284: 1
     285: 1
     287: 1
     289: 1
     290: 1
     292: 1
     301: 1
     307: 1
     313: 1
     314: 1
     316: 1
     322: 1
     326: 1
     327: 1
     333: 1
     335: 1
     337: 1
     338: 1
     340: 1
     350: 1
     363: 1
     367: 1
     368: 1
     378: 1
     386: 1
     388: 1
     391: 1
     393: 1
     400: 1
     408: 1
     423: 1
     439: 1
     441: 1
     450: 1
     485: 1
     487: 1
     495: 1

496:   0: q+1
       1: q^2+2q+1
       2: q+1
       3: q^2+2q+1
       4: q+1
       5: q^2+2q+1
       6: 3q+1
       7: q^2+2q+1
       8: q+1
       9: q^3+2q^2+2q+1
      10: 3q+1
      11: q^2+2q+1
      12: 3q+1
      14: q^2+2q+1
      15: q^3+2q^2+2q+1
      16: 3q+1
      17: q^2+2q+1
      18: q^2+2q+1
      19: q+1
      20: q+1
      21: q^2+2q+1
      22: 2q+1
      23: q^2+2q+1
      24: 2q+1
      25: q+1
      26: q^2+2q+1
      27: 3q+1
      28: q^2+2q+1
      29: 3q+1
      30: q+1
      31: q+1
      32: 2q+1
      33: q+1
      34: 2q+1
      35: q+1
      36: q+1
      37: q+1
      38: 3q+1
      39: 3q+1
      40: q^2+2q+1
      41: q+1
      42: 2q+1
      43: 2q+1
      45: q^2+2q+1
      46: q+1
      47: q^2+2q+1
      48: q+1
      49: q^2+2q+1
      50: q^3+2q^2+2q+1
      51: q+1
      52: 2q+1
      53: 3q+1
      54: 2q+1
      55: 2q+1
      56: q+1
      57: q^2+2q+1
      58: q^2+2q+1
      59: q+1
      60: q+1
      61: q^2+2q+1
      62: 2q+1
      63: q^2+2q+1
      64: 2q+1
      65: q+1
      66: q+1
      67: 2q+1
      68: q+1
      69: 2q+1
      70: q+1
      71: q+1
      72: q+1
      73: 2q+1
      74: 2q+1
      75: q+1
      76: q+1
      77: 2q+1
      79: 2q+1
      80: q^2+2q+1
      81: q+1
      82: 2q+1
      84: 2q+1
      85: q^2+2q+1
      86: q+1
      87: q^2+2q+1
      88: q+1
      89: q^2+2q+1
      90: q^3+2q^2+2q+1
      91: q+1
      92: q+1
      93: 2q+1
      94: q+1
      95: q+1
      96: 2q+1
      97: q+1
      98: 2q+1
      99: 2q+1
     101: q^2+2q+1
     102: q+1
     103: q+1
     104: 2q+1
     105: 2q+1
     106: q+1
     107: q^2+2q+1
     108: q^2+2q+1
     109: q+1
     110: q+1
     111: q+1
     112: q+1
     113: q+1
     114: 1
     115: 1
     116: q+1
     117: q+1
     118: 2q+1
     119: 2q+1
     120: q+1
     121: 1
     122: 1
     124: q+1
     125: q+1
     126: q+1
     127: 2q+1
     129: 2q+1
     130: q^2+2q+1
     131: q+1
     132: 2q+1
     134: 2q+1
     135: q^2+2q+1
     136: 1
     137: 1
     138: q+1
     139: q+1
     140: q+1
     141: q+1
     142: 1
     143: q+1
     144: 2q+1
     145: 1
     147: q+1
     148: q+1
     149: q+1
     150: 2q+1
     151: 2q+1
     152: 2q+1
     153: q+1
     156: 2q+1
     157: 2q+1
     158: q+1
     159: q^2+2q+1
     160: q+1
     161: q+1
     162: q+1
     163: q+1
     164: q+1
     165: 1
     166: 1
     167: 1
     168: 1
     170: q+1
     171: q+1
     172: 1
     173: 1
     175: q+1
     176: q+1
     177: q+1
     178: 2q+1
     180: 2q+1
     181: q^2+2q+1
     182: q+1
     183: 2q+1
     185: 2q+1
     186: q^2+2q+1
     187: 1
     188: 1
     189: 1
     190: q+1
     191: 1
     192: 1
     193: q+1
     194: 1
     195: 1
     198: q+1
     199: q+1
     200: 1
     201: q+1
     202: 1
     203: 2q+1
     204: q+1
     207: 2q+1
     208: 2q+1
     209: q+1
     211: q+1
     212: 2q+1
     213: 2q+1
     215: 2q+1
     216: q+1
     217: q+1
     218: q+1
     224: 1
     225: 1
     227: q+1
     228: q+1
     229: q+1
     230: 2q+1
     232: 2q+1
     233: q^2+2q+1
     234: 1
     235: 1
     237: q+1
     238: q+1
     239: 1
     240: 1
     241: 1
     245: 1
     248: 1
     249: q+1
     250: 1
     251: q+1
     252: 1
     253: 1
     257: q+1
     258: 2q+1
     259: 2q+1
     261: 2q+1
     262: q+1
     265: q+1
     266: 1
     267: q+1
     268: 1
     269: 2q+1
     271: q+1
     272: q+1
     275: q+1
     277: q+1
     278: q+1
     284: 1
     285: 1
     287: q+1
     288: q+1
     289: 1
     290: 1
     292: q+1
     293: q+1
     294: 1
     300: q+1
     301: q+1
     302: 1
     303: 1
     307: 1
     313: q+1
     314: 1
     315: q+1
     316: 1
     317: 2q+1
     319: q+1
     322: 1
     323: q+1
     324: 1
     325: q+1
     326: 1
     327: 1
     333: 1
     335: 1
     336: 1
     337: 1
     338: 1
     340: q+1
     341: q+1
     350: 1
     351: 1
     353: q+1
     354: 1
     363: 1
     364: q+1
     365: 1
     366: q+1
     367: 1
     368: 1
     373: 1
     374: 1
     378: 1
     386: 1
     388: 1
     389: 1
     391: 1
     393: 1
     394: 1
     400: 1
     401: 1
     406: 1
     407: 1
     408: 1
     418: 1
     419: 1
     423: 1
     427: 1
     439: 1
     441: 1
     442: 1
     448: 1
     449: 1
     450: 1
     454: 1
     467: 1
     496: 1

497:   1: q+1
       5: q+1
       6: q+1
       7: q+1
       9: q+1
      10: q+1
      11: q+1
      12: 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
      34: 1
      35: 1
      38: q+1
      39: q+1
      40: q+1
      42: q+1
      43: q+1
      45: q+1
      47: q+1
      49: q+1
      50: q+1
      51: 1
      52: q+1
      53: q+1
      54: q+1
      55: q+1
      57: q+1
      58: q+1
      61: q+1
      62: q+1
      63: q+1
      64: q+1
      65: q+1
      69: 1
      70: 1
      74: 1
      75: 1
      77: q+1
      79: q+1
      80: q+1
      82: q+1
      84: q+1
      85: q+1
      87: q+1
      89: q+1
      90: q+1
      91: 1
      93: q+1
      94: 1
      96: q+1
      98: q+1
      99: q+1
     101: q+1
     104: q+1
     105: q+1
     107: q+1
     108: q+1
     114: 1
     115: 1
     119: 1
     120: 1
     124: 1
     125: 1
     127: q+1
     129: q+1
     130: q+1
     132: q+1
     134: q+1
     135: q+1
     136: 1
     138: 1
     143: 1
     144: q+1
     150: q+1
     151: q+1
     152: q+1
     156: q+1
     157: q+1
     159: q+1
     165: 1
     166: 1
     170: 1
     171: 1
     175: 1
     176: 1
     178: q+1
     180: q+1
     181: q+1
     183: q+1
     185: q+1
     186: q+1
     188: 1
     193: 1
     201: 1
     203: q+1
     207: q+1
     208: q+1
     212: q+1
     213: q+1
     215: q+1
     222: 1
     223: 1
     227: 1
     228: 1
     230: q+1
     232: q+1
     233: q+1
     237: 1
     238: 1
     242: 1
     251: 1
     258: q+1
     259: q+1
     261: q+1
     267: 1
     269: q+1
     275: q+1
     277: q+1
     278: q+1
     282: 1
     283: 1
     287: 1
     288: 1
     292: 1
     293: 1
     300: q+1
     301: q+1
     304: 1
     315: 1
     317: q+1
     325: 1
     335: 1
     336: 1
     340: 1
     341: 1
     345: 1
     346: 1
     351: 1
     353: q+1
     366: 1
     375: 1
     388: 1
     389: 1
     393: 1
     394: 1
     398: 1
     399: 1
     401: 1
     407: 1
     420: 1
     441: 1
     442: 1
     446: 1
     447: 1
     449: 1
     455: 1
     492: 1
     493: 1
     497: 1

498:   0: q^2+2q+1
       1: q^3+3q^2+3q+1
       2: q^2+2q+1
       3: q^3+3q^2+3q+1
       4: q^2+2q+1
       5: q^2+2q+1
       6: 3q^2+4q+1
       7: q^3+3q^2+3q+1
       8: q^2+2q+1
       9: q^2+2q+1
      10: 3q+1
      11: q^2+2q+1
      12: 3q^2+4q+1
      14: 3q+1
      15: q^2+2q+1
      16: 3q+1
      17: 3q+1
      18: q^2+2q+1
      19: q^2+2q+1
      21: q^2+2q+1
      22: 3q+1
      23: q^2+2q+1
      24: 3q+1
      25: q^2+2q+1
      26: q^2+2q+1
      27: 3q+1
      28: q^2+2q+1
      29: 3q+1
      31: q^2+2q+1
      32: 2q^2+3q+1
      33: q^2+2q+1
      34: 2q+1
      35: 2q+1
      36: q^2+2q+1
      37: q^2+2q+1
      38: 3q^2+4q+1
      39: 3q+1
      40: 3q+1
      41: q^2+2q+1
      42: 2q^2+3q+1
      43: 2q+1
      45: 2q+1
      46: q^2+2q+1
      47: q^3+3q^2+3q+1
      48: q^2+2q+1
      49: q^2+2q+1
      50: q^2+2q+1
      51: 2q+1
      52: 3q+1
      53: 3q+1
      54: 2q+1
      55: 2q+1
      56: q^2+2q+1
      57: q^2+2q+1
      58: q^2+2q+1
      59: q^2+2q+1
      60: q^2+2q+1
      61: q^2+2q+1
      62: 3q+1
      63: q^2+2q+1
      64: 3q+1
      66: q+1
      67: 2q+1
      68: q+1
      69: 2q+1
      71: q^2+2q+1
      72: q^2+2q+1
      73: 2q^2+3q+1
      74: 2q+1
      75: 2q+1
      76: q^2+2q+1
      77: 2q^2+3q+1
      79: 2q+1
      80: 2q+1
      81: q^2+2q+1
      82: 2q^2+3q+1
      84: 2q+1
      85: 2q+1
      86: q^2+2q+1
      87: q^3+3q^2+3q+1
      88: q^2+2q+1
      89: q^2+2q+1
      90: q^2+2q+1
      92: q+1
      93: 3q+1
      94: 2q+1
      95: q^2+2q+1
      96: 2q+1
      97: q+1
      98: 2q+1
      99: 2q+1
     101: q^2+2q+1
     102: q+1
     103: q^2+2q+1
     104: 2q+1
     105: 2q+1
     106: q^2+2q+1
     107: q^2+2q+1
     108: q^2+2q+1
     109: q^2+2q+1
     110: q^2+2q+1
     111: q+1
     112: 2q+1
     113: q+1
     114: 2q+1
     116: q+1
     117: q+1
     118: 2q+1
     119: 2q+1
     121: q+1
     122: q+1
     124: q+1
     125: q+1
     126: q^2+2q+1
     127: 2q^2+3q+1
     129: 2q+1
     130: 2q+1
     131: q^2+2q+1
     132: 2q^2+3q+1
     134: 2q+1
     135: 2q+1
     137: q+1
     139: q+1
     140: q+1
     141: q+1
     142: 1
     143: q+1
     144: 2q+1
     145: q+1
     147: q+1
     148: q+1
     149: q^2+2q+1
     150: 2q+1
     151: 2q+1
     152: 2q+1
     153: q+1
     156: 2q+1
     157: 2q+1
     158: q^2+2q+1
     159: q^2+2q+1
     160: q+1
     161: q^2+2q+1
     162: q+1
     163: q+1
     164: 2q+1
     165: 2q+1
     167: 1
     168: 1
     170: q+1
     172: q+1
     173: q+1
     175: q+1
     176: q+1
     177: q^2+2q+1
     178: 2q^2+3q+1
     180: 2q+1
     181: 2q+1
     182: q^2+2q+1
     183: 2q^2+3q+1
     185: 2q+1
     186: 2q+1
     189: q+1
     190: q+1
     191: 1
     192: 1
     194: 1
     195: 1
     198: q+1
     199: q+1
     200: 1
     201: q+1
     202: q+1
     203: 2q+1
     204: q+1
     207: 2q+1
     208: 2q+1
     209: q^2+2q+1
     211: q^2+2q+1
     212: 2q+1
     213: 2q+1
     215: 2q+1
     216: q+1
     217: q+1
     218: q+1
     219: 1
     220: 1
     222: q+1
     224: 1
     225: 1
     227: q+1
     229: q^2+2q+1
     230: 2q^2+3q+1
     232: 2q+1
     233: 2q+1
     234: q+1
     235: q+1
     237: q+1
     238: q+1
     240: 1
     243: 1
     244: 1
     245: 1
     248: 1
     249: q+1
     250: 1
     252: 1
     253: 1
     257: q^2+2q+1
     258: 2q+1
     259: 2q+1
     261: 2q+1
     262: q+1
     265: q+1
     266: 1
     267: q+1
     268: q+1
     269: 2q+1
     271: q+1
     272: q+1
     275: q^2+2q+1
     277: q+1
     278: q+1
     279: 1
     280: 1
     282: q+1
     284: q+1
     285: q+1
     287: q+1
     288: q+1
     289: 1
     290: 1
     292: q+1
     296: 1
     300: q+1
     301: q+1
     302: 1
     305: 1
     306: 1
     307: 1
     313: q+1
     314: 1
     315: q+1
     316: q+1
     317: 2q+1
     319: q+1
     322: 1
     323: q+1
     324: 1
     326: 1
     327: 1
     333: q+1
     335: 1
     336: 1
     337: 1
     338: 1
     340: q+1
     342: 1
     343: 1
     345: q+1
     350: 1
     351: 1
     353: q+1
     356: 1
     363: 1
     364: q+1
     365: 1
     367: 1
     368: 1
     373: 1
     376: 1
     377: 1
     378: 1
     386: q+1
     388: 1
     389: 1
     391: 1
     393: 1
     395: 1
     396: 1
     398: q+1
     400: 1
     401: 1
     406: 1
     408: 1
     418: 1
     421: 1
     422: 1
     423: 1
     429: 1
     439: 1
     441: 1
     444: 1
     446: 1
     448: 1
     450: 1
     456: 1
     469: 1
     490: 1
     492: 1
     498: 1

499:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^3+2q^2+2q+1
       3: q^2+2q+1
       4: q+1
       5: q^2+2q+1
       6: q^2+2q+1
       7: q+1
       8: q^2+q+1
      10: q^2+2q+1
      11: q+1
      12: q+1
      13: q^2+q+1
      16: q+1
      18: q+1
      26: q^2+2q+1
      27: q^2+2q+1
      28: q+1
      29: q+1
      31: q^2+2q+1
      32: q^2+2q+1
      33: q+1
      34: q+1
      36: q^2+2q+1
      37: q+1
      38: q+1
      39: q+1
      41: q^2+2q+1
      42: q^2+2q+1
      43: q^2+2q+1
      44: q^2+q+1
      46: q+1
      47: q+1
      48: q^2+q+1
      49: q+1
      53: q+1
      55: q^2+2q+1
      56: q^2+2q+1
      58: q+1
      59: q+1
      60: q+1
      66: q^2+2q+1
      67: q^2+2q+1
      68: q+1
      69: q+1
      71: q^2+2q+1
      72: q+1
      73: q+1
      74: q+1
      76: q^2+2q+1
      77: q+1
      78: q+1
      79: q+1
      81: q+1
      82: q+1
      83: q^2+q+1
      84: q+1
      86: q+1
      87: q+1
      88: q^2+q+1
      89: q+1
      92: q+1
      95: q+1
      97: q^2+2q+1
      99: q+1
     100: q+1
     102: q+1
     103: q+1
     105: q+1
     106: q+1
     108: q+1
     109: q+1
     110: q+1
     116: q^2+2q+1
     117: q+1
     118: q+1
     119: q+1
     121: q^2+2q+1
     122: q+1
     123: q+1
     124: q+1
     126: q+1
     127: 1
     128: q+1
     129: 1
     131: q+1
     132: q+1
     133: q^2+q+1
     134: q+1
     139: q+1
     140: q+1
     142: q+1
     145: q+1
     146: q+1
     148: q+1
     149: 1
     151: 1
     153: q+1
     154: q+1
     155: q+1
     157: q+1
     158: q+1
     160: q+1
     161: q+1
     167: q^2+2q+1
     168: q+1
     169: q+1
     170: q+1
     172: q+1
     173: 1
     174: q+1
     175: 1
     177: q+1
     178: q+1
     180: q+1
     182: q+1
     183: 1
     184: q+1
     185: 1
     191: q+1
     194: q+1
     195: q+1
     196: q+1
     197: 1
     199: 1
     200: 1
     202: 1
     205: q+1
     208: q+1
     209: q+1
     210: q+1
     211: 1
     213: 1
     214: q+1
     216: q+1
     218: q+1
     224: q+1
     225: 1
     226: q+1
     227: 1
     229: q+1
     230: 1
     232: 1
     234: q+1
     235: 1
     236: q+1
     237: 1
     245: q+1
     247: 1
     248: 1
     252: 1
     253: 1
     254: q+1
     255: 1
     257: 1
     259: 1
     262: q+1
     263: 1
     264: q+1
     265: 1
     266: 1
     268: 1
     270: q+1
     274: q+1
     275: 1
     277: 1
     284: q+1
     285: 1
     287: 1
     289: q+1
     290: 1
     291: q+1
     292: 1
     297: 1
     299: 1
     301: 1
     307: 1
     309: 1
     313: 1
     314: 1
     316: 1
     320: 1
     322: 1
     326: 1
     327: 1
     328: q+1
     329: 1
     332: q+1
     333: 1
     335: 1
     337: q+1
     338: 1
     340: 1
     349: 1
     350: 1
     352: 1
     357: 1
     363: 1
     367: 1
     368: 1
     371: 1
     378: 1
     380: 1
     385: 1
     386: 1
     390: q+1
     391: 1
     393: 1
     402: 1
     404: 1
     408: 1
     409: 1
     423: 1
     430: 1
     438: 1
     439: 1
     452: 1
     458: 1
     484: 1
     485: 1
     499: 1

500:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: 1
       5: q^2+1
       6: q+1
       7: 1
       8: 1
       9: q^2+1
      10: q^2+1
      11: q^3+q^2+1
      12: q+1
      13: 1
      14: q^2+1
      15: q^3+q^2+1
      16: q^2+1
      17: q^2+1
      18: q^2+1
      19: q^2+1
      21: q^2+1
      22: q^2+1
      23: q^3+q^2+1
      24: q^2+1
      25: q^2+1
      26: 1
      27: 1
      28: 1
      29: 1
      31: q+1
      32: q+1
      33: 1
      34: q^2+1
      35: q^2+1
      36: q+1
      37: 1
      38: q+1
      39: q^2+1
      40: q^2+1
      41: q+1
      42: q+1
      43: q^2+1
      44: 1
      45: q^2+1
      46: 1
      47: 1
      48: 1
      49: q^2+1
      50: q^2+1
      51: q^2+1
      52: q^2+1
      53: 1
      54: q^2+1
      55: 1
      56: q+1
      57: q^2+1
      58: 1
      59: 1
      60: 1
      61: 1
      62: 1
      63: 1
      64: 1
      66: 1
      67: 1
      68: 1
      69: 1
      71: q+1
      72: 1
      73: q+1
      74: q^2+1
      75: q^2+1
      76: q+1
      77: q+1
      78: 1
      79: q^2+1
      80: q^2+1
      81: 1
      82: 1
      83: 1
      84: q^2+1
      85: q^2+1
      86: 1
      87: 1
      88: 1
      89: q^2+1
      90: q^2+1
      92: 1
      93: 1
      94: q^2+1
      95: q+1
      96: 1
      97: 1
      98: q^2+1
      99: 1
     100: 1
     101: 1
     102: 1
     103: 1
     104: q^2+1
     105: 1
     106: 1
     107: q^2+1
     108: 1
     109: 1
     110: 1
     111: 1
     112: 1
     113: 1
     114: 1
     116: 1
     117: 1
     118: 1
     119: 1
     121: q+1
     122: q+1
     123: 1
     124: q^2+1
     125: q^2+1
     126: 1
     127: 1
     128: 1
     129: q^2+1
     130: q^2+1
     131: 1
     132: 1
     133: 1
     134: q^2+1
     135: q^2+1
     137: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: q^2+1
     144: 1
     145: q+1
     146: 1
     147: 1
     148: 1
     149: 1
     150: q^2+1
     151: 1
     152: 1
     153: 1
     154: 1
     155: 1
     156: q^2+1
     157: 1
     158: 1
     159: 1
     160: 1
     161: 1
     162: 1
     163: 1
     164: 1
     165: 1
     167: 1
     168: 1
     169: 1
     170: 1
     172: 1
     173: 1
     174: 1
     175: q^2+1
     176: q^2+1
     177: 1
     178: 1
     180: 1
     181: 1
     182: 1
     183: 1
     184: 1
     185: q^2+1
     186: q^2+1
     189: 1
     190: 1
     191: 1
     192: 1
     194: 1
     195: 1
     196: 1
     197: 1
     198: 1
     199: 1
     200: 1
     201: q^2+1
     202: 1
     203: 1
     204: 1
     205: 1
     207: 1
     208: 1
     209: 1
     210: 1
     211: 1
     212: q^2+1
     213: 1
     214: 1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     229: 1
     230: 1
     232: 1
     233: 1
     234: 1
     235: 1
     236: 1
     237: q^2+1
     238: q^2+1
     240: 1
     243: 1
     244: 1
     245: 1
     246: 1
     247: 1
     248: 1
     249: 1
     250: 1
     255: 1
     257: 1
     258: 1
     259: 1
     261: 1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     267: q^2+1
     268: 1
     269: 1
     270: 1
     271: 1
     272: 1
     274: 1
     275: 1
     277: 1
     278: 1
     284: 1
     285: 1
     287: 1
     288: 1
     296: 1
     297: 1
     298: 1
     299: 1
     300: 1
     301: 1
     302: 1
     313: 1
     314: 1
     315: 1
     316: 1
     317: 1
     319: 1
     320: 1
     321: 1
     322: 1
     323: 1
     324: 1
     329: 1
     332: 1
     333: 1
     335: 1
     336: 1
     348: 1
     349: 1
     350: 1
     351: 1
     352: 1
     353: 1
     363: 1
     364: 1
     365: 1
     371: 1
     372: 1
     373: 1
     385: 1
     386: 1
     388: 1
     389: 1
     400: 1
     401: 1
     402: 1
     404: 1
     405: 1
     406: 1
     418: 1
     426: 1
     448: 1
     451: 1
     453: 1
     500: 1

501:   0: q^3+2q^2+2q+1
       1: q+1
       2: q^3+2q^2+2q+1
       3: q^3+2q^2+2q+1
       4: q^2+q+1
       5: q+1
       6: q+1
       7: 1
       8: q^2+q+1
       9: q+1
      10: q+1
      11: 1
      12: q+1
      13: q^2+q+1
      14: q+1
      15: 1
      16: q+1
      17: q+1
      21: q+1
      22: q+1
      23: 1
      24: q+1
      26: q+1
      27: q+1
      28: 1
      29: q+1
      31: q+1
      32: q+1
      33: 1
      36: q^3+2q^2+2q+1
      37: q^2+q+1
      38: q+1
      39: q+1
      40: q+1
      41: q^3+2q^2+2q+1
      42: q+1
      43: q+1
      44: q^2+q+1
      45: q+1
      46: q^2+q+1
      47: 1
      48: q^2+q+1
      49: 1
      50: 1
      52: q+1
      53: q+1
      54: q+1
      55: q+1
      56: q+1
      57: 1
      58: 1
      59: 1
      60: q^2+q+1
      61: q+1
      62: q+1
      63: 1
      64: q+1
      66: q+1
      67: q+1
      68: 1
      71: q+1
      72: 1
      73: q+1
      76: q^3+2q^2+2q+1
      77: q+1
      78: q^2+q+1
      79: q+1
      80: q+1
      81: q^2+q+1
      82: 1
      83: q^2+q+1
      84: 1
      85: 1
      86: q^2+q+1
      87: 1
      88: q^2+q+1
      89: 1
      90: 1
      93: q+1
      95: q+1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     100: q^2+q+1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: 1
     109: 1
     110: q^2+q+1
     111: q+1
     112: q+1
     113: 1
     116: q+1
     117: 1
     118: q+1
     121: q+1
     122: q+1
     123: 1
     126: q^2+q+1
     127: 1
     128: q^2+q+1
     129: 1
     130: 1
     131: q^2+q+1
     132: 1
     133: q^2+q+1
     134: 1
     135: 1
     140: q+1
     141: q+1
     144: q+1
     145: q+1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     151: 1
     152: 1
     153: 1
     154: q^2+q+1
     155: q^2+q+1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     161: 1
     162: q+1
     163: 1
     164: q+1
     167: q+1
     168: q+1
     169: 1
     172: 1
     173: 1
     174: 1
     177: q^2+q+1
     178: 1
     180: 1
     181: 1
     182: q^2+q+1
     183: 1
     184: q^2+q+1
     185: 1
     186: 1
     190: q+1
     195: q+1
     196: 1
     197: 1
     198: 1
     199: 1
     202: 1
     203: 1
     204: 1
     205: 1
     207: 1
     208: 1
     209: 1
     210: 1
     211: 1
     212: 1
     213: 1
     214: q^2+q+1
     215: 1
     216: 1
     217: 1
     218: 1
     219: q+1
     220: q+1
     221: 1
     224: 1
     225: 1
     226: 1
     229: q^2+q+1
     230: 1
     232: 1
     233: 1
     234: 1
     235: 1
     236: 1
     244: q+1
     246: 1
     247: 1
     249: 1
     253: 1
     254: 1
     255: 1
     257: 1
     258: 1
     259: 1
     261: 1
     262: 1
     263: 1
     264: 1
     265: 1
     268: 1
     269: 1
     270: 1
     271: 1
     272: 1
     274: q^2+q+1
     275: 1
     277: 1
     278: 1
     279: 1
     280: 1
     281: 1
     284: 1
     285: 1
     289: 1
     290: 1
     291: 1
     298: 1
     299: 1
     300: 1
     301: 1
     306: 1
     308: 1
     309: 1
     313: 1
     316: 1
     317: 1
     319: 1
     320: 1
     321: 1
     323: 1
     327: 1
     328: 1
     329: 1
     332: 1
     333: 1
     337: 1
     338: 1
     342: 1
     343: 1
     344: 1
     349: 1
     352: 1
     353: 1
     358: 1
     364: 1
     368: 1
     372: 1
     377: 1
     379: 1
     380: 1
     385: 1
     386: 1
     390: 1
     391: 1
     395: 1
     396: 1
     402: 1
     405: 1
     409: 1
     422: 1
     431: 1
     438: 1
     439: 1
     443: 1
     444: 1
     452: 1
     457: 1
     489: 1
     490: 1
     501: 1

502:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q+1
       5: q^2+2q+1
       6: q^2+2q+1
       7: q^3+q^2+q+1
       8: q+1
      10: q^2+2q+1
      11: q^3+q^2+q+1
      12: q^2+2q+1
      13: q+1
      16: q^2+2q+1
      18: q^3+q^2+q+1
      26: q^2+2q+1
      27: q^2+2q+1
      28: q^3+q^2+q+1
      29: q^2+2q+1
      31: 2q+1
      32: 2q+1
      33: q+1
      34: q^2+q+1
      36: q^2+2q+1
      37: q+1
      38: q^2+2q+1
      39: q^2+2q+1
      41: q^2+2q+1
      42: q^2+2q+1
      43: q^2+2q+1
      44: q+1
      46: q+1
      47: q^2+q+1
      48: q+1
      49: q^2+q+1
      53: q^2+2q+1
      55: q^2+2q+1
      56: 2q+1
      58: q^2+q+1
      59: q+1
      60: q+1
      66: 2q+1
      67: 2q+1
      68: q+1
      69: q^2+q+1
      71: 2q+1
      72: q+1
      73: 2q+1
      74: q^2+q+1
      76: q^2+2q+1
      77: q^2+2q+1
      78: q+1
      79: q^2+2q+1
      81: q+1
      82: q^2+q+1
      83: q+1
      84: q^2+q+1
      86: q+1
      87: q^2+q+1
      88: q+1
      89: q^2+q+1
      92: q+1
      95: 2q+1
      97: 2q+1
      99: q^2+2q+1
     100: q+1
     102: q+1
     103: q+1
     105: q^2+q+1
     106: q+1
     108: q^2+q+1
     109: q+1
     110: q+1
     116: 2q+1
     117: q+1
     118: 2q+1
     119: q^2+q+1
     121: 2q+1
     122: 2q+1
     123: q+1
     124: q^2+q+1
     126: q+1
     127: q^2+q+1
     128: q+1
     129: q^2+q+1
     131: q+1
     132: q^2+q+1
     133: q+1
     134: q^2+q+1
     139: q+1
     140: 2q+1
     142: q+1
     145: 2q+1
     146: q+1
     148: q+1
     149: q+1
     151: q^2+q+1
     153: q+1
     154: q+1
     155: q+1
     157: q^2+q+1
     158: q+1
     160: q+1
     161: q+1
     167: 2q+1
     168: 2q+1
     169: q+1
     170: q^2+q+1
     172: 1
     173: 1
     174: 1
     175: q^2+1
     177: q+1
     178: q+1
     180: q+1
     182: q+1
     183: q^2+q+1
     184: q+1
     185: q^2+q+1
     191: q+1
     194: q+1
     195: 2q+1
     196: q+1
     197: q+1
     199: q+1
     200: 1
     202: 1
     205: 1
     208: q+1
     209: q+1
     210: q+1
     211: q+1
     213: q^2+q+1
     214: q+1
     216: q+1
     218: q+1
     224: 1
     225: 1
     226: 1
     227: q^2+1
     229: q+1
     230: q+1
     232: q+1
     234: 1
     235: 1
     236: 1
     237: q^2+1
     245: q+1
     247: q+1
     248: 1
     252: 1
     253: 1
     254: 1
     255: 1
     257: q+1
     259: q+1
     262: q+1
     263: q+1
     264: q+1
     265: q+1
     266: 1
     268: 1
     270: 1
     274: q+1
     275: q+1
     277: q+1
     284: 1
     285: 1
     287: 1
     289: 1
     290: 1
     291: 1
     292: q^2+1
     297: 1
     299: q+1
     301: q+1
     307: 1
     309: 1
     313: q+1
     314: 1
     316: 1
     320: q+1
     322: 1
     326: 1
     327: 1
     328: 1
     329: 1
     332: 1
     333: 1
     335: 1
     337: 1
     338: 1
     340: 1
     349: q+1
     350: 1
     352: 1
     357: 1
     363: 1
     367: 1
     368: 1
     371: 1
     378: 1
     380: 1
     385: 1
     386: 1
     388: 1
     390: 1
     391: 1
     393: 1
     400: 1
     402: 1
     404: 1
     408: 1
     409: 1
     423: 1
     430: 1
     438: 1
     439: 1
     441: 1
     450: 1
     451: 1
     452: 1
     458: 1
     502: 1

503:   0: 3q+1
       1: 3q+1
       2: q^2+2q+1
       3: 3q+1
       4: q^2+2q+1
       5: 3q+1
       6: 3q+1
       7: q^2+2q+1
       8: q+1
       9: q^3+2q+1
      10: 3q+1
      11: q^2+2q+1
      12: q^2+2q+1
      13: q+1
      14: q^3+2q+1
      15: q^4+q^3+q^2+2q+1
      16: q^2+2q+1
      17: q+1
      18: q^2+2q+1
      19: q+1
      20: q+1
      21: 2q+1
      22: 2q+1
      23: q^2+2q+1
      24: q+1
      25: q+1
      26: 3q+1
      27: 3q+1
      28: q^2+2q+1
      29: q^2+2q+1
      30: q+1
      31: 3q+1
      32: 3q+1
      33: q^2+2q+1
      34: q^2+2q+1
      35: q+1
      36: 2q+1
      37: q+1
      38: 2q+1
      39: 2q+1
      40: q+1
      41: 3q+1
      42: 3q+1
      43: 3q+1
      44: q+1
      45: q^3+2q+1
      46: 2q+1
      47: 2q+1
      48: q+1
      49: 2q+1
      50: q^3+2q+1
      51: q+1
      52: q+1
      53: 2q+1
      54: 2q+1
      55: 3q+1
      56: 3q+1
      57: 2q+1
      58: 2q+1
      59: 2q+1
      60: q+1
      61: 2q+1
      62: 2q+1
      63: q^2+2q+1
      64: q+1
      65: q+1
      66: 3q+1
      67: 3q+1
      68: q^2+2q+1
      69: q^2+2q+1
      70: q+1
      71: 2q+1
      72: q+1
      73: 2q+1
      74: 2q+1
      75: q+1
      76: 2q+1
      77: 2q+1
      78: q+1
      79: 2q+1
      80: q+1
      81: 2q+1
      82: 2q+1
      83: q+1
      84: 2q+1
      85: q^3+2q+1
      86: 2q+1
      87: 2q+1
      88: q+1
      89: 2q+1
      90: q^3+2q+1
      91: q+1
      92: 2q+1
      93: q+1
      94: q+1
      95: q+1
      96: 2q+1
      97: 3q+1
      98: q+1
      99: 2q+1
     100: q+1
     101: 2q+1
     102: 2q+1
     103: q+1
     104: 2q+1
     105: 2q+1
     106: 2q+1
     107: 2q+1
     108: 2q+1
     109: 2q+1
     110: q+1
     111: 2q+1
     112: 2q+1
     113: q^2+2q+1
     114: q+1
     115: q+1
     116: 2q+1
     117: q+1
     118: 2q+1
     119: 2q+1
     120: q+1
     121: 2q+1
     122: 2q+1
     123: q+1
     124: 2q+1
     125: q+1
     126: 1
     127: q+1
     128: 1
     129: q+1
     130: q+1
     131: 2q+1
     132: 2q+1
     133: q+1
     134: 2q+1
     135: q^3+2q+1
     136: q+1
     137: q+1
     138: q+1
     139: 2q+1
     140: q+1
     141: 2q+1
     142: 2q+1
     143: q+1
     144: q+1
     145: q+1
     146: q+1
     147: 2q+1
     148: q+1
     149: 1
     150: q+1
     151: q+1
     152: 2q+1
     153: 2q+1
     154: 1
     155: q+1
     156: 2q+1
     157: 2q+1
     158: 2q+1
     159: 2q+1
     160: 2q+1
     161: q+1
     162: q+1
     163: q+1
     164: 1
     165: 1
     166: 1
     167: 2q+1
     168: 2q+1
     169: q+1
     170: 2q+1
     171: q+1
     172: 1
     173: q+1
     174: 1
     175: q+1
     176: q+1
     177: q+1
     178: q+1
     180: q+1
     181: q+1
     182: 1
     183: q+1
     184: 1
     185: q+1
     186: q+1
     187: q+1
     188: 1
     189: 1
     190: 1
     191: q+1
     192: q+1
     193: q+1
     194: 2q+1
     195: q+1
     196: q+1
     197: 1
     198: q+1
     199: 1
     200: q+1
     201: q+1
     202: 1
     203: q+1
     204: 2q+1
     205: 1
     207: q+1
     208: q+1
     209: q+1
     210: q+1
     211: 1
     212: q+1
     213: q+1
     214: 1
     215: 2q+1
     216: 2q+1
     217: 2q+1
     218: q+1
     219: q+1
     220: 1
     221: q+1
     222: 1
     223: 1
     224: 1
     225: q+1
     226: 1
     227: q+1
     228: q+1
     229: 1
     230: 1
     232: 1
     233: 1
     234: 1
     235: q+1
     236: 1
     237: q+1
     238: q+1
     239: 1
     240: 1
     241: q+1
     242: 1
     243: 1
     244: 1
     245: q+1
     246: q+1
     247: 1
     248: 1
     249: 1
     250: q+1
     251: q+1
     252: q+1
     253: 1
     254: 1
     255: 1
     257: 1
     258: 1
     259: 1
     261: q+1
     262: q+1
     263: 1
     264: q+1
     265: 1
     266: q+1
     267: q+1
     268: 1
     269: q+1
     270: 1
     271: 2q+1
     272: q+1
     274: 1
     275: 1
     277: 1
     278: 1
     284: 1
     285: 1
     287: 1
     288: 1
     289: 1
     290: q+1
     291: 1
     292: q+1
     293: q+1
     294: 1
     295: 1
     296: 1
     297: 1
     298: 1
     299: 1
     300: 1
     301: 1
     302: 1
     303: q+1
     307: 1
     309: 1
     313: 1
     314: 1
     315: 1
     316: 1
     317: 1
     319: q+1
     320: 1
     321: q+1
     322: 1
     323: 1
     324: q+1
     325: q+1
     326: q+1
     327: 1
     328: 1
     329: 1
     332: 1
     333: 1
     335: 1
     336: 1
     337: 1
     338: 1
     340: 1
     341: 1
     347: 1
     348: 1
     349: 1
     350: 1
     351: 1
     352: 1
     353: 1
     354: 1
     357: 1
     363: 1
     364: 1
     365: 1
     366: 1
     367: 1
     368: 1
     371: 1
     372: 1
     373: 1
     374: q+1
     378: 1
     380: 1
     390: 1
     391: 1
     393: 1
     394: 1
     403: 1
     404: 1
     405: 1
     406: 1
     407: 1
     408: 1
     409: 1
     418: 1
     419: 1
     423: 1
     426: 1
     427: 1
     430: 1
     453: 1
     454: 1
     458: 1
     467: 1
     473: 1
     503: 1

504:   0: q+1
       1: q+1
       3: q+1
       4: q+1
       5: q+1
       6: q+1
       7: q+1
       9: q+1
      10: q+1
      11: q+1
      12: q+1
      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
      38: 1
      39: 1
      40: 1
      41: q+1
      42: q+1
      43: q+1
      45: q+1
      46: q+1
      47: q+1
      49: q+1
      50: q+1
      51: q+1
      52: 1
      53: 1
      54: q+1
      55: q+1
      56: q+1
      57: q+1
      58: q+1
      59: q+1
      61: q+1
      62: q+1
      63: q+1
      64: q+1
      65: q+1
      66: q+1
      67: q+1
      68: q+1
      69: q+1
      70: q+1
      73: 1
      74: 1
      75: 1
      77: 1
      79: 1
      80: 1
      81: q+1
      82: q+1
      84: q+1
      85: q+1
      86: q+1
      87: q+1
      89: q+1
      90: q+1
      91: q+1
      92: 1
      93: 1
      94: 1
      96: q+1
      97: q+1
      98: 1
      99: 1
     101: q+1
     102: q+1
     104: q+1
     105: q+1
     106: q+1
     107: q+1
     108: q+1
     109: q+1
     111: q+1
     112: q+1
     113: q+1
     114: q+1
     115: q+1
     118: 1
     119: 1
     120: 1
     122: 1
     124: 1
     125: 1
     127: 1
     129: 1
     130: 1
     131: q+1
     132: q+1
     134: q+1
     135: q+1
     136: q+1
     137: 1
     138: 1
     139: 1
     141: q+1
     142: 1
     143: 1
     144: 1
     147: q+1
     150: 1
     151: 1
     152: q+1
     153: q+1
     156: q+1
     157: q+1
     158: q+1
     159: q+1
     160: q+1
     164: 1
     165: 1
     166: 1
     168: 1
     170: 1
     171: 1
     173: 1
     175: 1
     176: 1
     177: q+1
     178: q+1
     180: q+1
     181: q+1
     183: 1
     185: 1
     186: 1
     187: 1
     188: 1
     189: 1
     192: 1
     193: 1
     194: 1
     200: 1
     201: 1
     203: 1
     204: q+1
     207: q+1
     208: q+1
     209: q+1
     212: 1
     213: 1
     215: q+1
     216: q+1
     217: q+1
     220: 1
     222: 1
     223: 1
     225: 1
     227: 1
     228: 1
     230: 1
     232: 1
     233: 1
     235: 1
     237: 1
     238: 1
     239: 1
     241: 1
     242: 1
     243: 1
     250: 1
     251: 1
     252: 1
     258: 1
     259: 1
     261: q+1
     262: q+1
     266: 1
     267: 1
     269: 1
     271: q+1
     275: 1
     277: 1
     278: 1
     280: 1
     282: 1
     283: 1
     285: 1
     287: 1
     288: 1
     290: 1
     292: 1
     293: 1
     295: 1
     300: 1
     301: 1
     303: 1
     304: 1
     305: 1
     314: 1
     315: 1
     317: 1
     319: q+1
     324: 1
     325: 1
     326: 1
     333: 1
     335: 1
     336: 1
     338: 1
     340: 1
     341: 1
     343: 1
     345: 1
     346: 1
     350: 1
     351: 1
     353: 1
     355: 1
     365: 1
     366: 1
     367: 1
     374: 1
     375: 1
     376: 1
     391: 1
     393: 1
     394: 1
     396: 1
     398: 1
     399: 1
     406: 1
     407: 1
     408: 1
     419: 1
     420: 1
     421: 1
     428: 1
     444: 1
     446: 1
     447: 1
     454: 1
     455: 1
     456: 1
     468: 1
     504: 1

505:   0: 3q^2+4q+1
       1: 3q^2+4q+1
       2: q^3+3q^2+3q+1
       3: 3q^2+4q+1
       4: q^3+3q^2+3q+1
       5: 3q+1
       6: 3q^2+4q+1
       7: q^3+3q^2+3q+1
       8: q^2+2q+1
       9: 3q+1
      10: 3q+1
      11: q^2+2q+1
      12: q^3+3q^2+3q+1
      13: q^2+2q+1
      14: 3q+1
      15: q^2+2q+1
      16: q^2+2q+1
      17: q^2+2q+1
      18: q^2+2q+1
      19: q^2+2q+1
      21: 3q+1
      22: 3q+1
      23: q^2+2q+1
      24: q^2+2q+1
      25: q^2+2q+1
      26: 3q+1
      27: 3q+1
      28: q^2+2q+1
      29: q^2+2q+1
      31: 3q^2+4q+1
      32: 3q^2+4q+1
      33: q^3+3q^2+3q+1
      34: q^2+2q+1
      35: q^2+2q+1
      36: 2q^2+3q+1
      37: q^2+2q+1
      38: 2q^2+3q+1
      39: 2q+1
      40: 2q+1
      41: 3q^2+4q+1
      42: 3q^2+4q+1
      43: 3q+1
      44: q^2+2q+1
      45: 3q+1
      46: 2q^2+3q+1
      47: 2q^2+3q+1
      48: q^2+2q+1
      49: 2q+1
      50: 2q+1
      51: q^2+2q+1
      52: 2q+1
      53: 2q+1
      54: 3q+1
      55: 3q+1
      56: 3q^2+4q+1
      57: 2q+1
      58: 2q+1
      59: 2q^2+3q+1
      60: q^2+2q+1
      61: 3q+1
      62: 3q+1
      63: q^2+2q+1
      64: q^2+2q+1
      66: 3q+1
      67: 3q+1
      68: q^2+2q+1
      69: q^2+2q+1
      71: 2q^2+3q+1
      72: q^2+2q+1
      73: 2q^2+3q+1
      74: 2q+1
      75: 2q+1
      76: 2q^2+3q+1
      77: 2q^2+3q+1
      78: q^2+2q+1
      79: 2q+1
      80: 2q+1
      81: 2q^2+3q+1
      82: 2q^2+3q+1
      83: q^2+2q+1
      84: 2q+1
      85: 2q+1
      86: 2q^2+3q+1
      87: 2q^2+3q+1
      88: q^2+2q+1
      89: 2q+1
      90: 2q+1
      92: 2q+1
      93: 2q+1
      94: 2q+1
      95: q^2+2q+1
      96: 3q+1
      97: 3q+1
      98: 2q+1
      99: 2q+1
     100: q^2+2q+1
     101: 2q+1
     102: 2q+1
     103: q^2+2q+1
     104: 2q+1
     105: 2q+1
     106: 2q^2+3q+1
     107: 2q+1
     108: 2q+1
     109: 2q^2+3q+1
     110: q^2+2q+1
     111: 3q+1
     112: 3q+1
     113: q^2+2q+1
     114: q^2+2q+1
     116: 2q+1
     117: q+1
     118: 2q+1
     119: 2q+1
     121: 2q^2+3q+1
     122: 2q^2+3q+1
     123: q^2+2q+1
     124: 2q+1
     125: 2q+1
     126: q+1
     127: q^2+2q+1
     128: q+1
     129: q+1
     130: q+1
     131: 2q^2+3q+1
     132: 2q^2+3q+1
     133: q^2+2q+1
     134: 2q+1
     135: 2q+1
     137: 2q+1
     139: 2q+1
     140: q+1
     141: 3q+1
     142: 2q+1
     143: 2q+1
     144: 2q+1
     145: q^2+2q+1
     146: q^2+2q+1
     147: 2q+1
     148: q+1
     149: q+1
     150: q+1
     151: q+1
     152: 2q+1
     153: 2q+1
     154: q+1
     155: q^2+2q+1
     156: 2q+1
     157: 2q+1
     158: 2q^2+3q+1
     159: 2q+1
     160: 2q+1
     161: q^2+2q+1
     162: 2q+1
     163: q+1
     164: 2q+1
     165: 2q+1
     167: 2q+1
     168: 2q+1
     169: q+1
     170: 2q+1
     172: q+1
     173: q^2+2q+1
     174: q+1
     175: q+1
     176: q+1
     177: q^2+2q+1
     178: q^2+2q+1
     180: q+1
     181: q+1
     182: q+1
     183: q^2+2q+1
     184: q+1
     185: q+1
     186: q+1
     189: 2q+1
     190: q+1
     191: q+1
     192: 2q+1
     194: 2q+1
     195: q+1
     196: q+1
     197: q+1
     198: q+1
     199: 1
     200: q+1
     201: q+1
     202: q+1
     203: q+1
     204: 2q+1
     205: q+1
     207: q+1
     208: q+1
     209: q^2+2q+1
     210: q^2+2q+1
     211: q+1
     212: q+1
     213: q+1
     214: q+1
     215: 2q+1
     216: 2q+1
     217: 2q+1
     218: q+1
     219: 2q+1
     220: 2q+1
     221: q+1
     222: 2q+1
     224: 1
     225: q+1
     226: 1
     227: q+1
     229: q+1
     230: q+1
     232: 1
     233: 1
     234: q+1
     235: q^2+2q+1
     236: q+1
     237: q+1
     238: q+1
     240: q+1
     243: 2q+1
     244: q+1
     245: q+1
     246: q+1
     247: 1
     248: 1
     249: 1
     250: q+1
     252: q+1
     253: 1
     254: 1
     255: q+1
     257: q+1
     258: 1
     259: 1
     261: q+1
     262: q+1
     263: q+1
     264: q+1
     265: 1
     266: q+1
     267: q+1
     268: q+1
     269: q+1
     270: q+1
     271: 2q+1
     272: q+1
     274: q+1
     275: q+1
     277: 1
     278: 1
     279: 1
     280: q+1
     281: 1
     282: q+1
     284: q+1
     285: q+1
     287: 1
     288: 1
     289: 1
     290: q+1
     291: 1
     292: q+1
     296: q+1
     297: 1
     298: 1
     299: q+1
     300: 1
     301: 1
     302: 1
     305: q+1
     306: 1
     307: 1
     308: 1
     309: 1
     313: 1
     314: 1
     315: 1
     316: q+1
     317: 1
     319: q+1
     320: 1
     321: q+1
     322: 1
     323: 1
     324: q+1
     326: q+1
     327: 1
     328: 1
     329: q+1
     332: q+1
     333: q+1
     335: 1
     336: 1
     337: 1
     338: 1
     340: 1
     342: 1
     343: q+1
     344: 1
     345: q+1
     348: 1
     349: 1
     350: 1
     351: 1
     352: q+1
     353: 1
     356: 1
     357: 1
     358: 1
     363: 1
     364: 1
     365: 1
     367: 1
     368: 1
     371: 1
     372: 1
     373: 1
     376: q+1
     377: 1
     378: 1
     379: 1
     380: 1
     390: 1
     391: 1
     393: 1
     395: 1
     396: 1
     398: 1
     404: 1
     405: 1
     406: 1
     408: 1
     409: 1
     412: 1
     418: 1
     421: 1
     422: 1
     423: 1
     426: 1
     429: 1
     430: 1
     431: 1
     443: 1
     444: 1
     446: 1
     453: 1
     456: 1
     457: 1
     458: 1
     469: 1
     475: 1
     505: 1

506:   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
      10: q+1
      11: q^2+2q+1
      12: q+1
      13: q^3+2q^2+2q+1
      16: q+1
      18: q+1
      26: q^2+2q+1
      27: q+1
      28: q^2+2q+1
      29: q+1
      31: q^2+2q+1
      32: q+1
      33: q^2+2q+1
      34: q+1
      36: q^2+2q+1
      37: q^2+2q+1
      38: q+1
      39: q+1
      41: q+1
      42: q+1
      43: q+1
      44: q^2+2q+1
      46: q^2+2q+1
      47: q^2+2q+1
      48: q^2+2q+1
      49: q^2+2q+1
      53: q+1
      55: q+1
      56: q+1
      58: q^2+2q+1
      59: q^2+2q+1
      60: q^2+2q+1
      66: q^2+2q+1
      67: q+1
      68: q^2+2q+1
      69: q+1
      71: q^2+2q+1
      72: q^2+2q+1
      73: q+1
      74: q+1
      76: q+1
      77: q+1
      78: q^2+2q+1
      79: q+1
      81: q+1
      82: q+1
      83: q^2+2q+1
      84: q+1
      86: q+1
      87: q+1
      88: q+1
      89: q+1
      92: q+1
      95: q+1
      97: q+1
      99: q+1
     100: q+1
     102: q^2+2q+1
     103: q^2+2q+1
     105: q+1
     106: q+1
     108: q+1
     109: q+1
     110: q+1
     116: q^2+2q+1
     117: q^2+2q+1
     118: q+1
     119: q+1
     121: q+1
     122: q+1
     123: q^2+2q+1
     124: q+1
     126: q+1
     127: q+1
     128: q^2+2q+1
     129: q+1
     131: 1
     132: 1
     133: q+1
     134: 1
     139: q+1
     140: q+1
     142: q+1
     145: q+1
     146: q+1
     148: q^2+2q+1
     149: q+1
     151: q+1
     153: q+1
     154: q+1
     155: 1
     157: 1
     158: 1
     160: q+1
     161: q+1
     167: q+1
     168: q+1
     169: q^2+2q+1
     170: q+1
     172: q+1
     173: q+1
     174: q^2+2q+1
     175: q+1
     177: 1
     178: 1
     179: q+1
     180: 1
     182: 1
     183: 1
     184: q+1
     185: 1
     191: q+1
     194: q+1
     195: q+1
     196: q+1
     197: q+1
     199: q+1
     200: q+1
     202: q+1
     205: q+1
     206: 1
     208: 1
     209: 1
     210: 1
     211: 1
     213: 1
     214: 1
     216: 1
     218: q+1
     224: q+1
     225: q+1
     226: q^2+2q+1
     227: q+1
     229: 1
     230: 1
     231: q+1
     232: 1
     234: 1
     235: 1
     236: q+1
     237: 1
     245: q+1
     247: q+1
     248: q+1
     252: q+1
     253: q+1
     254: q+1
     255: q+1
     256: 1
     257: 1
     259: 1
     260: 1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     268: 1
     270: 1
     274: 1
     276: 1
     284: 1
     285: 1
     286: q+1
     287: 1
     289: 1
     290: 1
     291: q+1
     292: 1
     297: q+1
     307: q+1
     309: q+1
     310: 1
     311: 1
     312: 1
     313: 1
     314: 1
     316: 1
     318: 1
     320: 1
     322: 1
     326: 1
     327: 1
     328: 1
     329: 1
     332: 1
     334: 1
     337: 1
     338: 1
     339: q+1
     340: 1
     357: q+1
     360: 1
     361: 1
     363: 1
     367: 1
     368: 1
     369: 1
     370: 1
     371: 1
     378: 1
     380: 1
     385: 1
     387: 1
     390: 1
     392: 1
     410: 1
     414: 1
     416: 1
     423: 1
     425: 1
     430: 1
     438: 1
     440: 1
     459: 1
     470: 1
     484: 1
     486: 1
     506: 1

507:   0: q^3+3q^2+3q+1
       1: q^2+2q+1
       2: q^3+3q^2+3q+1
       3: q^2+2q+1
       4: q^3+3q^2+3q+1
       5: q^2+2q+1
       6: q+1
       7: q^2+2q+1
       8: q^3+3q^2+3q+1
       9: q^2+2q+1
      10: q+1
      11: q^2+2q+1
      12: q+1
      13: q^4+3q^3+4q^2+3q+1
      14: q+1
      15: q^2+2q+1
      16: q+1
      17: q+1
      21: q^2+2q+1
      22: q+1
      23: q^2+2q+1
      24: q+1
      26: q^2+2q+1
      27: q+1
      28: q^2+2q+1
      29: q+1
      31: q^2+2q+1
      32: q+1
      33: q^2+2q+1
      36: q^3+3q^2+3q+1
      37: q^3+3q^2+3q+1
      38: q+1
      39: q+1
      40: q+1
      41: q^2+2q+1
      42: q+1
      43: q+1
      44: q^3+3q^2+3q+1
      45: q+1
      46: q^3+3q^2+3q+1
      47: q^2+2q+1
      48: q^3+3q^2+3q+1
      49: q^2+2q+1
      50: q^2+2q+1
      52: q+1
      53: q+1
      54: q+1
      55: q+1
      56: q+1
      57: q^2+2q+1
      58: q^2+2q+1
      59: q^2+2q+1
      60: q^3+3q^2+3q+1
      61: q^2+2q+1
      62: q+1
      63: q^2+2q+1
      64: q+1
      66: q^2+2q+1
      67: q+1
      68: q^2+2q+1
      71: q^2+2q+1
      72: q^2+2q+1
      73: q+1
      76: q^2+2q+1
      77: q+1
      78: q^3+3q^2+3q+1
      79: q+1
      80: q+1
      81: q^2+2q+1
      82: q+1
      83: q^3+3q^2+3q+1
      84: q+1
      85: q+1
      86: q^2+2q+1
      87: q+1
      88: q^2+2q+1
      89: q+1
      90: q+1
      93: q+1
      95: q+1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     100: q^2+2q+1
     101: q^2+2q+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+1
     109: q+1
     110: q^2+2q+1
     111: q^2+2q+1
     112: q+1
     113: q^2+2q+1
     116: q^2+2q+1
     117: q^2+2q+1
     118: q+1
     121: q+1
     122: q+1
     123: q^2+2q+1
     126: q^2+2q+1
     127: q+1
     128: q^3+3q^2+3q+1
     129: q+1
     130: q+1
     131: q+1
     132: 1
     133: q^2+2q+1
     134: 1
     135: 1
     140: q+1
     141: q+1
     144: q+1
     145: q+1
     146: q+1
     147: q^2+2q+1
     148: q^2+2q+1
     149: q+1
     150: q+1
     151: q+1
     152: q+1
     153: q+1
     154: q^2+2q+1
     155: q+1
     156: 1
     157: 1
     158: 1
     159: q+1
     160: q+1
     161: q+1
     162: q^2+2q+1
     163: q^2+2q+1
     164: q+1
     167: q+1
     168: q+1
     169: q^2+2q+1
     172: q+1
     173: q+1
     174: q^2+2q+1
     177: q+1
     178: 1
     179: q^2+2q+1
     180: 1
     181: 1
     182: q+1
     183: 1
     184: q^2+2q+1
     185: 1
     186: 1
     190: q+1
     195: q+1
     196: q+1
     197: q+1
     198: q^2+2q+1
     199: q+1
     202: q+1
     203: q+1
     204: q+1
     205: q+1
     206: q+1
     207: 1
     208: 1
     209: 1
     210: 1
     211: 1
     212: 1
     213: 1
     214: q+1
     215: 1
     216: 1
     217: q+1
     218: q+1
     219: q+1
     220: q+1
     221: q^2+2q+1
     224: q+1
     225: q+1
     226: q^2+2q+1
     229: q+1
     230: 1
     231: q^2+2q+1
     232: 1
     233: 1
     234: 1
     235: 1
     236: q+1
     244: q+1
     246: q+1
     247: q+1
     249: q+1
     253: q+1
     254: q+1
     255: q+1
     256: 1
     257: 1
     258: 1
     259: 1
     260: q+1
     261: 1
     262: 1
     263: 1
     264: 1
     265: 1
     268: 1
     269: 1
     270: 1
     271: 1
     272: q+1
     274: q+1
     276: q+1
     279: q+1
     280: q+1
     281: q^2+2q+1
     284: 1
     285: 1
     286: q+1
     289: 1
     290: 1
     291: q+1
     298: q+1
     306: q+1
     308: q+1
     309: q+1
     310: q+1
     311: 1
     312: 1
     313: 1
     316: 1
     317: 1
     318: 1
     319: 1
     320: 1
     321: 1
     323: 1
     327: 1
     328: 1
     329: 1
     332: 1
     334: 1
     337: 1
     338: 1
     339: q+1
     342: 1
     343: 1
     344: q+1
     358: q+1
     360: 1
     361: 1
     362: 1
     364: 1
     368: 1
     369: 1
     370: 1
     372: 1
     377: 1
     379: 1
     380: 1
     385: 1
     387: 1
     390: 1
     392: 1
     395: 1
     396: 1
     397: q+1
     410: 1
     414: 1
     417: 1
     422: 1
     424: 1
     425: 1
     431: 1
     438: 1
     440: 1
     443: 1
     445: 1
     459: 1
     464: 1
     471: 1
     489: 1
     491: 1
     507: 1

508:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       5: q^3+1
       6: q+1
       7: q+1
       8: q+1
      10: q^3+1
      11: q^3+1
      12: q+1
      13: q+1
      16: q^3+1
      18: q^3+1
      26: 1
      27: 1
      28: 1
      29: 1
      31: q+1
      32: q+1
      33: q+1
      34: q^3+1
      36: q+1
      37: q+1
      38: q+1
      39: q^3+1
      41: q+1
      42: q+1
      43: q^3+1
      44: q+1
      46: q+1
      47: q+1
      48: q+1
      49: q^3+1
      53: 1
      55: 1
      56: q+1
      58: 1
      59: q+1
      60: q+1
      66: 1
      67: 1
      68: 1
      69: 1
      71: q+1
      72: q+1
      73: q+1
      74: q^3+1
      76: q+1
      77: q+1
      78: q+1
      79: q^3+1
      81: q+1
      82: q+1
      83: q+1
      84: q^3+1
      86: 1
      87: 1
      88: 1
      89: 1
      92: 1
      95: q+1
      97: 1
      99: 1
     100: q+1
     102: 1
     103: q+1
     105: 1
     106: q+1
     108: 1
     109: 1
     110: 1
     116: 1
     117: 1
     118: 1
     119: 1
     121: q+1
     122: q+1
     123: q+1
     124: q^3+1
     126: q+1
     127: q+1
     128: q+1
     129: q^3+1
     131: 1
     132: 1
     133: 1
     134: 1
     139: 1
     140: 1
     142: 1
     145: q+1
     146: q+1
     148: 1
     149: q+1
     151: 1
     153: 1
     154: q+1
     155: 1
     157: 1
     158: 1
     160: 1
     161: 1
     167: 1
     168: 1
     169: 1
     170: 1
     172: q+1
     173: q+1
     174: q+1
     175: q^3+1
     177: 1
     178: 1
     179: 1
     180: 1
     182: 1
     183: 1
     184: 1
     185: 1
     191: 1
     194: 1
     195: 1
     196: 1
     197: q+1
     199: 1
     200: 1
     202: q+1
     205: q+1
     206: 1
     208: 1
     209: 1
     210: 1
     211: 1
     213: 1
     214: 1
     216: 1
     218: 1
     224: 1
     225: 1
     226: 1
     227: 1
     229: 1
     230: 1
     231: 1
     232: 1
     234: 1
     235: 1
     236: 1
     237: 1
     245: 1
     247: 1
     248: 1
     252: 1
     253: 1
     254: 1
     255: q+1
     256: 1
     257: 1
     259: 1
     260: 1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     268: 1
     270: 1
     274: 1
     275: 1
     276: 1
     277: 1
     284: 1
     285: 1
     286: 1
     287: 1
     297: 1
     299: 1
     301: 1
     307: 1
     309: 1
     310: 1
     311: 1
     312: 1
     313: 1
     314: 1
     316: 1
     318: 1
     320: 1
     322: 1
     329: 1
     332: 1
     333: 1
     334: 1
     335: 1
     349: 1
     350: 1
     352: 1
     357: 1
     359: 1
     360: 1
     361: 1
     363: 1
     370: 1
     371: 1
     385: 1
     386: 1
     387: 1
     388: 1
     400: 1
     402: 1
     404: 1
     410: 1
     413: 1
     415: 1
     416: 1
     451: 1
     461: 1
     462: 1
     508: 1

509:   0: q^2+2q+1
       1: q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: q+1
       6: q+1
       7: q+1
       8: q^2+2q+1
      10: q+1
      11: q+1
      12: q+1
      13: q^2+2q+1
      16: q+1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      31: q+1
      32: q+1
      33: q+1
      36: q^2+2q+1
      37: q^2+2q+1
      38: q+1
      39: q+1
      41: q^2+2q+1
      42: q+1
      43: q+1
      44: q^2+2q+1
      46: q^2+2q+1
      47: q+1
      48: q^2+2q+1
      49: q+1
      53: q+1
      55: q+1
      56: q+1
      58: q+1
      59: q+1
      60: q^2+2q+1
      66: q+1
      67: q+1
      68: q+1
      71: q+1
      72: q+1
      73: q+1
      76: q^2+2q+1
      77: q+1
      78: q^2+2q+1
      79: q+1
      81: q^2+2q+1
      82: q+1
      83: q^2+2q+1
      84: q+1
      86: q+1
      87: 1
      88: q+1
      89: 1
      95: q+1
      97: q+1
      99: q+1
     100: q^2+2q+1
     102: q+1
     103: q+1
     105: q+1
     106: q+1
     108: 1
     109: 1
     110: q+1
     116: q+1
     117: q+1
     118: q+1
     121: q+1
     122: q+1
     123: q+1
     126: q^2+2q+1
     127: q+1
     128: q^2+2q+1
     129: q+1
     131: q+1
     132: 1
     133: q+1
     134: 1
     140: q+1
     145: q+1
     146: q+1
     148: q+1
     149: q+1
     151: q+1
     153: q+1
     154: q^2+2q+1
     155: q+1
     157: 1
     158: 1
     160: 1
     161: 1
     167: q+1
     168: q+1
     169: q+1
     172: q+1
     173: q+1
     174: q+1
     177: q+1
     178: 1
     179: q+1
     180: 1
     182: q+1
     183: 1
     184: q+1
     185: 1
     195: q+1
     196: q+1
     197: q+1
     199: q+1
     202: q+1
     205: q+1
     206: q+1
     208: 1
     209: 1
     210: 1
     211: 1
     213: 1
     214: q+1
     216: 1
     218: 1
     224: q+1
     225: q+1
     226: q+1
     229: q+1
     230: 1
     231: q+1
     232: 1
     234: 1
     235: 1
     236: 1
     247: q+1
     253: q+1
     254: q+1
     255: q+1
     256: 1
     257: 1
     259: 1
     260: q+1
     262: 1
     263: 1
     264: 1
     265: 1
     268: 1
     270: 1
     274: q+1
     275: 1
     276: q+1
     277: 1
     284: 1
     285: 1
     286: 1
     289: 1
     290: 1
     291: 1
     299: 1
     301: 1
     309: q+1
     310: q+1
     311: 1
     312: 1
     313: 1
     316: 1
     318: 1
     320: 1
     327: 1
     328: 1
     329: 1
     332: 1
     333: 1
     334: 1
     337: 1
     338: 1
     339: 1
     349: 1
     352: 1
     359: 1
     360: 1
     361: 1
     368: 1
     369: 1
     370: 1
     380: 1
     385: 1
     386: 1
     387: 1
     390: 1
     391: 1
     392: 1
     402: 1
     409: 1
     410: 1
     413: 1
     414: 1
     415: 1
     425: 1
     438: 1
     439: 1
     440: 1
     452: 1
     459: 1
     461: 1
     465: 1
     509: 1

510:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: q^3+q^2+q+1
       6: q^2+2q+1
       7: q^2+2q+1
       8: q^2+2q+1
       9: q^3+q^2+q+1
      10: q^3+q^2+q+1
      11: q^3+q^2+q+1
      12: q^3+q^2+q+1
      13: q^2+2q+1
      14: q^3+q^2+q+1
      15: q^3+q^2+q+1
      16: q^2+1
      17: q^2+1
      18: q^2+1
      19: q^2+1
      21: q^3+q^2+q+1
      22: q^3+q^2+q+1
      23: q^3+q^2+q+1
      24: q^2+1
      25: q^2+1
      26: q^2+q+1
      27: q^2+q+1
      28: q^2+q+1
      29: q^2+1
      31: q^2+2q+1
      32: q^2+2q+1
      33: q^2+2q+1
      34: q^2+1
      35: q^2+1
      36: 2q+1
      37: 2q+1
      38: q^2+q+1
      39: q^2+1
      40: q^2+1
      41: q^2+2q+1
      42: q^2+2q+1
      43: q^3+q^2+q+1
      44: q^2+2q+1
      45: q^3+q^2+q+1
      46: q^2+2q+1
      47: q^2+2q+1
      48: q^2+2q+1
      49: q^3+q^2+q+1
      50: q^3+q^2+q+1
      51: q^2+1
      52: q^2+1
      53: q^2+1
      54: q^3+q^2+q+1
      55: q^2+q+1
      56: q^2+2q+1
      57: q^3+q^2+q+1
      58: q^2+q+1
      59: q^2+2q+1
      60: 2q+1
      61: q^2+q+1
      62: q^2+q+1
      63: q^2+q+1
      64: q^2+1
      66: q^2+q+1
      67: q^2+q+1
      68: q^2+q+1
      69: q^2+1
      71: 2q+1
      72: 2q+1
      73: q^2+q+1
      74: q^2+1
      75: q^2+1
      76: 2q+1
      77: q^2+q+1
      78: 2q+1
      79: q^2+1
      80: q^2+1
      81: q^2+2q+1
      82: q^2+2q+1
      83: q^2+2q+1
      84: q^3+q^2+q+1
      85: q^3+q^2+q+1
      86: q+1
      87: q+1
      88: q+1
      89: q+1
      90: q+1
      92: q^2+1
      93: q^2+1
      94: q^2+1
      95: q+1
      96: q^2+q+1
      97: q^2+q+1
      98: q^2+1
      99: q^2+1
     100: 2q+1
     101: q^2+q+1
     102: q^2+q+1
     103: 2q+1
     104: q^3+q^2+q+1
     105: q^2+q+1
     106: q^2+2q+1
     107: q+1
     108: q+1
     109: q+1
     110: q+1
     111: q^2+q+1
     112: q^2+q+1
     113: q^2+q+1
     114: q^2+1
     116: q+1
     117: q+1
     118: 1
     119: 1
     121: 2q+1
     122: q^2+q+1
     123: 2q+1
     124: q^2+1
     125: q^2+1
     126: 2q+1
     127: q^2+q+1
     128: 2q+1
     129: q^2+1
     130: q^2+1
     131: q+1
     132: q+1
     133: q+1
     134: q+1
     135: q+1
     137: q^2+1
     139: 1
     140: 1
     141: q^2+q+1
     142: q^2+1
     143: q^2+1
     144: q^2+1
     145: q+1
     146: 2q+1
     147: q^2+q+1
     148: q+1
     149: q+1
     150: q^2+1
     151: q^2+1
     152: q^2+q+1
     153: q^2+q+1
     154: 2q+1
     155: q+1
     156: q+1
     157: q+1
     158: q+1
     159: q+1
     160: q+1
     161: q+1
     162: q+1
     163: q+1
     164: 1
     165: 1
     167: q+1
     168: 1
     169: q+1
     170: 1
     172: 2q+1
     173: q^2+q+1
     174: 2q+1
     175: q^2+1
     176: q^2+1
     177: q+1
     178: q+1
     179: q+1
     180: q+1
     181: q+1
     182: 1
     183: 1
     184: 1
     185: 1
     186: 1
     189: 1
     190: 1
     191: 1
     192: q^2+1
     194: 1
     195: 1
     196: q+1
     197: q+1
     198: q+1
     199: 1
     200: q^2+1
     201: q^2+1
     202: q+1
     203: q^2+1
     204: q^2+q+1
     205: 2q+1
     206: q+1
     207: q+1
     208: q+1
     209: q+1
     210: q+1
     211: 1
     212: 1
     213: 1
     214: 1
     215: q+1
     216: q+1
     217: q+1
     218: q+1
     219: q+1
     220: 1
     221: q+1
     222: 1
     224: q+1
     225: 1
     226: q+1
     227: 1
     229: 1
     230: 1
     231: 1
     232: 1
     233: 1
     234: 1
     235: 1
     236: 1
     237: 1
     238: 1
     240: 1
     243: 1
     244: 1
     245: 1
     246: q+1
     247: 1
     248: 1
     249: 1
     250: q^2+1
     252: 1
     253: 1
     254: q+1
     255: q+1
     256: q+1
     257: 1
     258: 1
     259: 1
     260: 1
     261: q+1
     262: q+1
     263: 1
     264: q+1
     265: 1
     266: 1
     267: 1
     268: 1
     269: 1
     270: 1
     271: q+1
     272: q+1
     274: 1
     275: 1
     276: 1
     277: 1
     278: 1
     279: q+1
     280: 1
     281: q+1
     282: 1
     284: 1
     285: 1
     286: 1
     287: 1
     288: 1
     296: 1
     297: 1
     298: 1
     299: 1
     300: 1
     301: 1
     302: 1
     305: 1
     306: 1
     307: 1
     308: q+1
     309: 1
     310: 1
     311: 1
     312: q+1
     313: 1
     314: 1
     315: 1
     316: 1
     317: 1
     318: 1
     319: q+1
     320: 1
     321: q+1
     322: 1
     323: 1
     324: 1
     329: 1
     332: 1
     333: 1
     334: 1
     335: 1
     336: 1
     348: 1
     349: 1
     350: 1
     351: 1
     352: 1
     353: 1
     356: 1
     357: 1
     358: 1
     359: 1
     360: 1
     361: 1
     362: q+1
     363: 1
     364: 1
     365: 1
     370: 1
     371: 1
     372: 1
     373: 1
     404: 1
     405: 1
     406: 1
     412: 1
     413: 1
     415: 1
     416: 1
     417: 1
     418: 1
     426: 1
     453: 1
     462: 1
     463: 1
     466: 1
     510: 1

511:   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
      10: q^2+2q+1
      11: q^2+2q+1
      12: q^3+q^2+q+1
      13: q^2+2q+1
      16: q^3+q^2+q+1
      18: q^3+q^2+q+1
      26: q^2+2q+1
      27: q^2+2q+1
      28: q^2+2q+1
      29: q^3+q^2+q+1
      31: q^2+2q+1
      32: q^2+2q+1
      33: q^2+2q+1
      34: q^3+q^2+q+1
      36: 2q+1
      37: 2q+1
      38: q^2+q+1
      39: q^2+q+1
      41: q^2+2q+1
      42: q^2+2q+1
      43: q^2+2q+1
      44: q^2+2q+1
      46: q^2+2q+1
      47: q^2+2q+1
      48: q^2+2q+1
      49: q^2+2q+1
      53: q^2+q+1
      55: q^2+2q+1
      56: q^2+2q+1
      58: q^2+2q+1
      59: q^2+2q+1
      60: 2q+1
      66: q^2+2q+1
      67: q^2+2q+1
      68: q^2+2q+1
      69: q^3+q^2+q+1
      71: 2q+1
      72: 2q+1
      73: q^2+q+1
      74: q^2+q+1
      76: 2q+1
      77: q^2+q+1
      78: 2q+1
      79: q^2+q+1
      81: q^2+2q+1
      82: q^2+2q+1
      83: q^2+2q+1
      84: q^2+2q+1
      86: q+1
      87: q+1
      88: q+1
      89: q+1
      92: q^2+q+1
      95: q+1
      97: q^2+2q+1
      99: q^2+q+1
     100: 2q+1
     102: q^2+2q+1
     103: 2q+1
     105: q^2+2q+1
     106: q^2+2q+1
     108: q+1
     109: q+1
     110: q+1
     116: 2q+1
     117: 2q+1
     118: q^2+q+1
     119: q^2+q+1
     121: 2q+1
     122: q^2+q+1
     123: 2q+1
     124: q^2+q+1
     126: 2q+1
     127: q^2+q+1
     128: 2q+1
     129: q^2+q+1
     131: q+1
     132: q+1
     133: q+1
     134: q+1
     139: q^2+q+1
     140: q+1
     142: q^2+q+1
     145: q+1
     146: 2q+1
     148: 2q+1
     149: q+1
     151: q^2+q+1
     153: q^2+2q+1
     154: 2q+1
     155: q+1
     157: q+1
     158: q+1
     160: q+1
     161: q+1
     167: 2q+1
     168: q^2+q+1
     169: 2q+1
     170: q^2+q+1
     172: 2q+1
     173: q^2+q+1
     174: 2q+1
     175: q^2+q+1
     177: q+1
     178: q+1
     179: q+1
     180: q+1
     182: 1
     183: 1
     184: 1
     185: 1
     191: q+1
     194: q^2+q+1
     195: q+1
     196: 2q+1
     197: q+1
     199: q+1
     200: q^2+q+1
     202: q+1
     205: 2q+1
     206: q+1
     208: q+1
     209: q+1
     210: q+1
     211: 1
     213: 1
     214: 1
     216: q+1
     218: q+1
     224: 2q+1
     225: q^2+q+1
     226: 2q+1
     227: q^2+q+1
     229: 1
     230: 1
     231: 1
     232: 1
     234: 1
     235: 1
     236: 1
     237: 1
     245: q+1
     247: q+1
     248: q+1
     252: q^2+q+1
     253: q+1
     254: 2q+1
     255: q+1
     256: q+1
     257: 1
     259: 1
     260: 1
     262: q+1
     263: 1
     264: q+1
     265: 1
     266: 1
     268: 1
     270: 1
     274: 1
     275: 1
     276: 1
     277: 1
     284: 1
     285: 1
     286: 1
     287: 1
     289: 1
     290: 1
     291: 1
     292: 1
     297: q+1
     299: 1
     301: 1
     307: q+1
     309: q+1
     310: 1
     311: 1
     312: q+1
     313: 1
     314: 1
     316: 1
     318: 1
     320: 1
     322: 1
     326: 1
     327: 1
     328: 1
     329: 1
     332: 1
     333: 1
     334: 1
     335: 1
     337: 1
     338: 1
     339: 1
     340: 1
     349: 1
     350: 1
     352: 1
     357: q+1
     359: 1
     360: 1
     361: 1
     363: 1
     367: 1
     368: 1
     369: 1
     370: 1
     371: 1
     378: 1
     380: 1
     390: 1
     391: 1
     392: 1
     393: 1
     404: 1
     408: 1
     409: 1
     413: 1
     414: 1
     415: 1
     416: 1
     423: 1
     425: 1
     430: 1
     458: 1
     462: 1
     465: 1
     470: 1
     511: 1

512:   0: q^3+3q^2+3q+1
       1: q^2+2q+1
       2: q^3+3q^2+3q+1
       3: q^3+3q^2+3q+1
       4: q^3+3q^2+3q+1
       5: q^2+2q+1
       6: q^2+2q+1
       7: q^2+2q+1
       8: q^3+3q^2+3q+1
       9: q^2+2q+1
      10: q^2+2q+1
      11: q^2+2q+1
      12: q^3+q^2+q+1
      13: q^3+3q^2+3q+1
      14: q^2+2q+1
      15: q^2+2q+1
      16: q^3+q^2+q+1
      17: q^3+q^2+q+1
      21: q^2+2q+1
      22: q^2+2q+1
      23: q^2+2q+1
      24: q^3+q^2+q+1
      26: q^2+2q+1
      27: q^2+2q+1
      28: q^2+2q+1
      29: q^3+q^2+q+1
      31: q^2+2q+1
      32: q^2+2q+1
      33: q^2+2q+1
      36: 2q^2+3q+1
      37: 2q^2+3q+1
      38: q^2+q+1
      39: q^2+q+1
      40: q^2+q+1
      41: q^3+3q^2+3q+1
      42: q^2+2q+1
      43: q^2+2q+1
      44: q^3+3q^2+3q+1
      45: q^2+2q+1
      46: q^3+3q^2+3q+1
      47: q^2+2q+1
      48: q^3+3q^2+3q+1
      49: q^2+2q+1
      50: q^2+2q+1
      52: q^2+q+1
      53: q^2+q+1
      54: q^2+2q+1
      55: q^2+2q+1
      56: q^2+2q+1
      57: q^2+2q+1
      58: q^2+2q+1
      59: q^2+2q+1
      60: 2q^2+3q+1
      61: q^2+2q+1
      62: q^2+2q+1
      63: q^2+2q+1
      64: q^3+q^2+q+1
      66: q^2+2q+1
      67: q^2+2q+1
      68: q^2+2q+1
      71: 2q+1
      72: 2q+1
      73: q^2+q+1
      76: 2q^2+3q+1
      77: q^2+q+1
      78: 2q^2+3q+1
      79: q^2+q+1
      80: q^2+q+1
      81: q^3+3q^2+3q+1
      82: q^2+2q+1
      83: q^3+3q^2+3q+1
      84: q^2+2q+1
      85: q^2+2q+1
      86: q^2+2q+1
      87: q+1
      88: q^2+2q+1
      89: q+1
      90: q+1
      93: q^2+q+1
      95: q+1
      96: q^2+2q+1
      97: q^2+2q+1
      98: q^2+q+1
      99: q^2+q+1
     100: 2q^2+3q+1
     101: q^2+2q+1
     102: q^2+2q+1
     103: 2q+1
     104: q^2+2q+1
     105: q^2+2q+1
     106: q^2+2q+1
     107: q+1
     108: q+1
     109: q+1
     110: q^2+2q+1
     111: q^2+2q+1
     112: q^2+2q+1
     113: q^2+2q+1
     116: 2q+1
     117: 2q+1
     118: q^2+q+1
     121: 2q+1
     122: q^2+q+1
     123: 2q+1
     126: 2q^2+3q+1
     127: q^2+q+1
     128: 2q^2+3q+1
     129: q^2+q+1
     130: q^2+q+1
     131: q^2+2q+1
     132: q+1
     133: q^2+2q+1
     134: q+1
     135: q+1
     140: q+1
     141: q^2+2q+1
     144: q^2+q+1
     145: q+1
     146: 2q+1
     147: q^2+2q+1
     148: 2q+1
     149: q+1
     150: q^2+q+1
     151: q^2+q+1
     152: q^2+2q+1
     153: q^2+2q+1
     154: 2q^2+3q+1
     155: q^2+2q+1
     156: q+1
     157: q+1
     158: q+1
     159: q+1
     160: q+1
     161: q+1
     162: 2q+1
     163: 2q+1
     164: q^2+q+1
     167: 2q+1
     168: q^2+q+1
     169: 2q+1
     172: 2q+1
     173: q^2+q+1
     174: 2q+1
     177: q^2+2q+1
     178: q+1
     179: q^2+2q+1
     180: q+1
     181: q+1
     182: q+1
     183: 1
     184: q+1
     185: 1
     186: 1
     190: q+1
     195: q+1
     196: 2q+1
     197: q+1
     198: 2q+1
     199: q+1
     202: q+1
     203: q^2+q+1
     204: q^2+2q+1
     205: 2q+1
     206: q^2+2q+1
     207: q+1
     208: q+1
     209: q+1
     210: q+1
     211: 1
     212: 1
     213: 1
     214: q+1
     215: q+1
     216: q+1
     217: q+1
     218: q+1
     219: 2q+1
     220: q^2+q+1
     221: 2q+1
     224: 2q+1
     225: q^2+q+1
     226: 2q+1
     229: q+1
     230: 1
     231: q+1
     232: 1
     233: 1
     234: 1
     235: 1
     236: 1
     244: q+1
     246: 2q+1
     247: q+1
     249: q+1
     253: q+1
     254: 2q+1
     255: q+1
     256: q+1
     257: 1
     258: 1
     259: 1
     260: q+1
     261: q+1
     262: q+1
     263: 1
     264: q+1
     265: 1
     268: 1
     269: 1
     270: 1
     271: q+1
     272: q+1
     274: q+1
     275: 1
     276: q+1
     277: 1
     278: 1
     279: 2q+1
     280: q^2+q+1
     281: 2q+1
     284: 1
     285: 1
     286: 1
     289: 1
     290: 1
     291: 1
     298: q+1
     299: 1
     300: 1
     301: 1
     306: q+1
     308: 2q+1
     309: q+1
     310: q+1
     311: 1
     312: q+1
     313: 1
     316: 1
     317: 1
     318: 1
     319: q+1
     320: 1
     321: q+1
     323: 1
     327: 1
     328: 1
     329: 1
     332: 1
     333: 1
     334: 1
     337: 1
     338: 1
     339: 1
     342: 1
     343: 1
     344: 1
     349: 1
     352: 1
     353: 1
     358: q+1
     359: 1
     360: 1
     361: 1
     362: q+1
     364: 1
     368: 1
     369: 1
     370: 1
     372: 1
     377: 1
     379: 1
     380: 1
     390: 1
     391: 1
     392: 1
     395: 1
     396: 1
     397: 1
     405: 1
     409: 1
     413: 1
     414: 1
     415: 1
     417: 1
     422: 1
     424: 1
     425: 1
     431: 1
     443: 1
     444: 1
     445: 1
     457: 1
     463: 1
     464: 1
     465: 1
     471: 1
     512: 1

513:   0: 3q+1
       1: 3q+1
       2: 3q+1
       3: q^2+2q+1
       4: 3q+1
       5: 3q+1
       6: q^2+2q+1
       7: 3q+1
       8: 3q+1
       9: q^4+2q+1
      10: q^2+2q+1
      11: 3q+1
      12: q^2+2q+1
      13: q^2+2q+1
      14: q+1
      15: q^4+2q+1
      16: q^2+2q+1
      17: q+1
      18: q^2+2q+1
      19: q+1
      20: q+1
      21: 2q+1
      22: q+1
      23: 2q+1
      24: q+1
      25: q+1
      26: 3q+1
      27: q^2+2q+1
      28: 3q+1
      29: q^2+2q+1
      30: q+1
      31: 3q+1
      32: q^2+2q+1
      33: 3q+1
      34: q^2+2q+1
      35: q+1
      36: 3q+1
      37: 3q+1
      38: q^2+2q+1
      39: q^2+2q+1
      40: q+1
      41: 2q+1
      42: 2q+1
      43: 2q+1
      44: 2q+1
      45: q+1
      46: 3q+1
      47: 3q+1
      48: 3q+1
      49: 3q+1
      50: q^4+2q+1
      51: q+1
      52: q+1
      53: q^2+2q+1
      54: q+1
      55: 2q+1
      56: 2q+1
      57: 2q+1
      58: 3q+1
      59: 3q+1
      60: 3q+1
      61: 2q+1
      62: q+1
      63: 2q+1
      64: q+1
      65: q+1
      66: 3q+1
      67: q^2+2q+1
      68: 3q+1
      69: q^2+2q+1
      70: q+1
      71: 3q+1
      72: 3q+1
      73: q^2+2q+1
      74: q^2+2q+1
      75: q+1
      76: 2q+1
      77: 2q+1
      78: 2q+1
      79: 2q+1
      80: q+1
      81: 2q+1
      82: 2q+1
      83: 2q+1
      84: 2q+1
      85: q+1
      86: q+1
      87: q+1
      88: q+1
      89: q+1
      90: q+1
      91: q+1
      92: q^2+2q+1
      93: q+1
      94: q+1
      95: 2q+1
      96: q+1
      97: 2q+1
      98: q+1
      99: 2q+1
     100: q+1
     101: 2q+1
     102: 3q+1
     103: 3q+1
     104: q+1
     105: 2q+1
     106: 2q+1
     107: q+1
     108: q+1
     109: q+1
     110: q+1
     111: 2q+1
     112: q+1
     113: 2q+1
     114: q+1
     115: q+1
     116: 3q+1
     117: 3q+1
     118: q^2+2q+1
     119: q^2+2q+1
     120: q+1
     121: 2q+1
     122: 2q+1
     123: 2q+1
     124: 2q+1
     125: q+1
     126: 2q+1
     127: 2q+1
     128: 2q+1
     129: 2q+1
     130: q+1
     131: 1
     132: 1
     133: 1
     134: 1
     135: 1
     136: q+1
     137: q+1
     138: q+1
     139: q^2+2q+1
     140: 2q+1
     141: q+1
     142: 2q+1
     143: q+1
     144: q+1
     145: 2q+1
     146: q+1
     147: 2q+1
     148: 3q+1
     149: 2q+1
     150: q+1
     151: 2q+1
     152: q+1
     153: 2q+1
     154: q+1
     155: 1
     156: 1
     157: 1
     158: 1
     159: q+1
     160: q+1
     161: q+1
     162: 2q+1
     163: 2q+1
     164: q+1
     165: q+1
     166: q+1
     167: 2q+1
     168: 2q+1
     169: 2q+1
     170: 2q+1
     171: q+1
     172: 2q+1
     173: 2q+1
     174: 2q+1
     175: 2q+1
     176: q+1
     177: 1
     178: 1
     179: 1
     180: 1
     181: 1
     182: 1
     183: 1
     184: 1
     185: 1
     186: 1
     187: q+1
     188: q+1
     189: q+1
     190: q+1
     191: 2q+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: 2q+1
     201: q+1
     202: 2q+1
     203: q+1
     204: q+1
     205: q+1
     206: 1
     207: 1
     208: 1
     209: 1
     210: 1
     211: 1
     212: 1
     213: 1
     214: 1
     215: 1
     216: 1
     217: q+1
     218: q+1
     219: 1
     220: 1
     221: q+1
     222: 1
     223: 1
     224: 2q+1
     225: 2q+1
     226: 2q+1
     227: 2q+1
     228: q+1
     229: 1
     230: 1
     231: 1
     232: 1
     233: 1
     234: 1
     235: 1
     236: 1
     237: 1
     238: 1
     239: q+1
     240: q+1
     241: q+1
     242: 1
     243: 1
     244: 1
     245: 2q+1
     246: 1
     247: q+1
     248: 2q+1
     249: q+1
     250: q+1
     251: q+1
     252: 2q+1
     253: 2q+1
     254: q+1
     255: q+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: q+1
     279: 1
     280: 1
     281: q+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: q+1
     295: 1
     296: 1
     297: q+1
     298: 1
     302: q+1
     303: q+1
     304: 1
     305: 1
     306: 1
     307: 2q+1
     308: 1
     309: q+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
     328: 1
     329: 1
     337: 1
     338: 1
     339: 1
     340: 1
     341: 1
     347: 1
     348: 1
     354: q+1
     355: 1
     356: 1
     357: q+1
     358: 1
     361: 1
     362: 1
     363: 1
     364: 1
     365: 1
     366: 1
     367: 1
     368: 1
     369: 1
     370: 1
     371: 1
     372: 1
     373: 1
     374: 1
     378: 1
     380: 1
     403: 1
     411: 1
     412: 1
     416: 1
     417: 1
     418: 1
     419: 1
     423: 1
     425: 1
     426: 1
     427: 1
     430: 1
     460: 1
     466: 1
     467: 1
     470: 1
     473: 1
     513: 1

514:   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
      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: 1
      42: 1
      43: 1
      45: 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: 1
      57: q+1
      58: q+1
      59: q+1
      60: q+1
      61: q+1
      62: q+1
      63: q+1
      64: q+1
      65: q+1
      66: q+1
      67: q+1
      68: q+1
      69: q+1
      70: q+1
      71: q+1
      72: q+1
      73: q+1
      74: q+1
      75: q+1
      76: 1
      77: 1
      79: 1
      80: 1
      81: 1
      82: 1
      84: 1
      85: 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: 1
      96: 1
      97: 1
      98: 1
      99: 1
     101: q+1
     102: q+1
     103: q+1
     104: 1
     105: 1
     106: 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: q+1
     119: q+1
     120: q+1
     121: 1
     122: 1
     124: 1
     125: 1
     126: 1
     127: 1
     129: 1
     130: 1
     131: 1
     132: 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
     144: 1
     145: 1
     147: q+1
     148: q+1
     149: 1
     150: 1
     151: 1
     152: 1
     153: 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: q+1
     166: q+1
     167: 1
     168: 1
     170: 1
     171: 1
     172: 1
     173: 1
     175: 1
     176: 1
     177: 1
     178: 1
     180: 1
     181: 1
     182: 1
     183: 1
     185: 1
     186: 1
     187: q+1
     188: q+1
     189: q+1
     190: 1
     191: 1
     192: 1
     193: 1
     194: 1
     195: 1
     198: q+1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     207: 1
     208: 1
     209: 1
     211: 1
     212: 1
     213: 1
     215: 1
     216: 1
     217: q+1
     218: q+1
     219: 1
     220: 1
     222: 1
     223: 1
     224: 1
     225: 1
     227: 1
     228: 1
     229: 1
     230: 1
     232: 1
     233: 1
     234: 1
     235: 1
     237: 1
     238: 1
     239: q+1
     240: 1
     241: 1
     242: 1
     243: 1
     244: 1
     245: 1
     248: 1
     249: 1
     250: 1
     251: 1
     252: 1
     253: 1
     257: 1
     258: 1
     259: 1
     261: 1
     262: 1
     265: 1
     266: 1
     267: 1
     268: 1
     269: 1
     271: 1
     272: q+1
     279: 1
     280: 1
     282: 1
     283: 1
     284: 1
     285: 1
     287: 1
     288: 1
     289: 1
     290: 1
     292: 1
     293: 1
     294: 1
     295: 1
     296: 1
     302: 1
     303: 1
     304: 1
     305: 1
     306: 1
     307: 1
     313: 1
     314: 1
     315: 1
     316: 1
     317: 1
     319: 1
     322: 1
     323: 1
     324: 1
     325: 1
     326: 1
     327: 1
     337: 1
     338: 1
     340: 1
     341: 1
     342: 1
     343: 1
     345: 1
     346: 1
     347: 1
     354: 1
     355: 1
     356: 1
     363: 1
     364: 1
     365: 1
     366: 1
     367: 1
     368: 1
     373: 1
     374: 1
     375: 1
     376: 1
     377: 1
     378: 1
     395: 1
     396: 1
     398: 1
     399: 1
     411: 1
     418: 1
     419: 1
     420: 1
     421: 1
     422: 1
     423: 1
     427: 1
     428: 1
     429: 1
     467: 1
     468: 1
     469: 1
     474: 1
     514: 1

515:   0: 2q^2+3q+1
       1: 2q^2+3q+1
       2: 2q^2+3q+1
       3: q^3+2q^2+2q+1
       4: 2q^2+3q+1
       5: 2q+1
       6: q^3+2q^2+2q+1
       7: 2q^2+3q+1
       8: 2q^2+3q+1
       9: 2q+1
      10: q^2+q+1
      11: 2q+1
      12: q^3+2q^2+2q+1
      13: q^3+2q^2+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
      21: 2q+1
      22: q^2+q+1
      23: 2q+1
      24: q^2+q+1
      25: q^2+q+1
      26: 2q+1
      27: q^2+q+1
      28: 2q+1
      29: q^2+q+1
      31: 2q^2+3q+1
      32: q^3+2q^2+2q+1
      33: 2q^2+3q+1
      34: q^2+q+1
      35: q^2+q+1
      36: 2q^2+3q+1
      37: 2q^2+3q+1
      38: q^3+2q^2+2q+1
      39: q^2+q+1
      40: q^2+q+1
      41: q^2+2q+1
      42: q^2+2q+1
      43: q+1
      44: q^2+2q+1
      45: q+1
      46: 2q^2+3q+1
      47: 2q^2+3q+1
      48: 2q^2+3q+1
      49: 2q+1
      50: 2q+1
      51: q^2+q+1
      52: q^2+q+1
      53: q^2+q+1
      54: q+1
      55: q+1
      56: q^2+2q+1
      57: 2q+1
      58: 2q+1
      59: 2q^2+3q+1
      60: 2q^2+3q+1
      61: 2q+1
      62: q^2+q+1
      63: 2q+1
      64: q^2+q+1
      66: 2q+1
      67: q^2+q+1
      68: 2q+1
      69: q^2+q+1
      71: 2q^2+3q+1
      72: 2q^2+3q+1
      73: q^3+2q^2+2q+1
      74: q^2+q+1
      75: q^2+q+1
      76: q^2+2q+1
      77: q^2+2q+1
      78: q^2+2q+1
      79: q+1
      80: q+1
      81: q^2+2q+1
      82: q^2+2q+1
      83: q^2+2q+1
      84: q+1
      85: q+1
      86: q^2+2q+1
      87: q^2+2q+1
      88: q^2+2q+1
      89: q+1
      90: q+1
      92: q^2+q+1
      93: q^2+q+1
      94: q^2+q+1
      95: q^2+2q+1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     100: q+1
     101: 2q+1
     102: 2q+1
     103: 2q^2+3q+1
     104: q+1
     105: q+1
     106: q^2+2q+1
     107: q+1
     108: q+1
     109: q^2+2q+1
     110: q^2+2q+1
     111: 2q+1
     112: q^2+q+1
     113: 2q+1
     114: q^2+q+1
     116: 2q+1
     117: 2q+1
     118: q^2+q+1
     119: q^2+q+1
     121: q^2+2q+1
     122: q^2+2q+1
     123: q^2+2q+1
     124: q+1
     125: q+1
     126: q^2+2q+1
     127: q^2+2q+1
     128: q^2+2q+1
     129: q+1
     130: q+1
     131: q+1
     132: q+1
     133: q+1
     134: 1
     135: 1
     137: q^2+q+1
     139: q^2+q+1
     140: q+1
     141: q+1
     142: q+1
     143: q+1
     144: q+1
     145: q^2+2q+1
     146: q+1
     147: 2q+1
     148: 2q+1
     149: q^2+2q+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: q+1
     160: q+1
     161: q^2+2q+1
     162: 2q+1
     163: 2q+1
     164: q^2+q+1
     165: q^2+q+1
     167: q+1
     168: q+1
     169: q+1
     170: q+1
     172: q^2+2q+1
     173: q^2+2q+1
     174: q^2+2q+1
     175: q+1
     176: q+1
     177: q+1
     178: q+1
     179: q+1
     180: 1
     181: 1
     182: q+1
     183: q+1
     184: q+1
     185: 1
     186: 1
     189: q^2+q+1
     190: q+1
     191: q+1
     192: q+1
     194: q+1
     195: q+1
     196: 1
     197: q+1
     198: 2q+1
     199: q+1
     200: q+1
     201: q+1
     202: q^2+2q+1
     203: q+1
     204: q+1
     205: q+1
     206: q+1
     207: 1
     208: 1
     209: q+1
     210: q+1
     211: q+1
     212: 1
     213: 1
     214: q+1
     215: 1
     216: 1
     217: q+1
     218: q+1
     219: q+1
     220: q+1
     221: q+1
     222: q+1
     224: q+1
     225: q+1
     226: q+1
     227: q+1
     229: q+1
     230: q+1
     231: q+1
     232: 1
     233: 1
     234: q+1
     235: q+1
     236: q+1
     237: 1
     238: 1
     240: q+1
     243: q+1
     244: q+1
     245: q+1
     246: 1
     247: 1
     248: q+1
     249: q+1
     250: q+1
     252: q+1
     253: q+1
     254: 1
     255: q+1
     256: q+1
     257: q+1
     258: 1
     259: 1
     260: q+1
     261: 1
     262: 1
     263: q+1
     264: 1
     265: 1
     266: 1
     267: 1
     268: q+1
     269: 1
     270: q+1
     271: 1
     272: q+1
     279: q+1
     280: q+1
     281: q+1
     282: q+1
     284: q+1
     285: q+1
     286: q+1
     287: 1
     288: 1
     289: 1
     290: 1
     291: 1
     292: 1
     296: q+1
     297: 1
     298: 1
     302: q+1
     305: q+1
     306: q+1
     307: q+1
     308: 1
     309: 1
     311: q+1
     312: 1
     313: 1
     314: 1
     315: 1
     316: q+1
     317: 1
     318: q+1
     319: 1
     320: 1
     321: 1
     322: 1
     323: 1
     324: 1
     326: 1
     327: 1
     328: 1
     329: q+1
     337: 1
     338: 1
     339: 1
     340: 1
     342: 1
     343: 1
     344: 1
     345: 1
     348: 1
     356: q+1
     357: 1
     358: 1
     361: 1
     362: 1
     363: 1
     364: 1
     365: 1
     367: 1
     368: 1
     369: 1
     370: q+1
     371: 1
     372: 1
     373: 1
     376: 1
     377: 1
     378: 1
     379: 1
     380: 1
     395: 1
     396: 1
     397: 1
     398: 1
     412: 1
     416: 1
     417: 1
     418: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     426: 1
     429: 1
     430: 1
     431: 1
     466: 1
     469: 1
     470: 1
     471: 1
     475: 1
     515: 1

516:   0: q^2+q+1
       1: 1
       2: q^2+q+1
       3: q+1
       4: q^2+q+1
       5: 1
       6: q^4+1
       7: 1
       8: q^2+q+1
      10: q^4+1
      11: 1
      12: q^4+1
      13: q^3+q^2+q+1
      16: q^4+1
      26: 1
      27: q^4+1
      28: 1
      29: q^4+1
      31: 1
      32: 1
      33: 1
      36: q^2+q+1
      37: q^2+q+1
      38: q^4+1
      39: q^4+1
      41: q+1
      42: 1
      43: 1
      44: q^2+q+1
      46: q^2+q+1
      47: 1
      48: q^2+q+1
      49: 1
      53: q^4+1
      55: 1
      56: 1
      58: 1
      59: 1
      60: q^2+q+1
      66: 1
      67: 1
      68: 1
      71: 1
      72: 1
      73: 1
      76: q+1
      77: 1
      78: q^2+q+1
      79: 1
      81: q+1
      82: 1
      83: q^2+q+1
      84: 1
      86: q^2+q+1
      87: 1
      88: q^2+q+1
      89: 1
      95: 1
      97: 1
      99: 1
     100: q+1
     102: 1
     103: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: q^2+q+1
     116: 1
     117: 1
     118: 1
     121: 1
     122: 1
     123: 1
     126: q+1
     127: 1
     128: q^2+q+1
     129: 1
     131: q+1
     132: 1
     133: q^2+q+1
     134: 1
     140: 1
     145: 1
     146: 1
     148: 1
     149: 1
     151: 1
     153: 1
     154: q+1
     155: q+1
     157: 1
     158: 1
     160: 1
     161: 1
     167: 1
     168: 1
     169: 1
     172: 1
     173: 1
     174: 1
     177: q+1
     178: 1
     179: q^2+q+1
     180: 1
     182: q+1
     183: 1
     184: q^2+q+1
     185: 1
     195: 1
     196: 1
     197: 1
     199: 1
     202: 1
     205: 1
     206: q+1
     208: 1
     209: 1
     210: 1
     211: 1
     213: 1
     214: q+1
     216: 1
     218: 1
     224: 1
     225: 1
     226: 1
     229: q+1
     230: 1
     231: q^2+q+1
     232: 1
     234: 1
     235: 1
     236: 1
     247: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     259: 1
     260: q+1
     262: 1
     263: 1
     264: 1
     265: 1
     268: 1
     270: 1
     273: q+1
     274: q+1
     275: 1
     276: q+1
     277: 1
     284: 1
     285: 1
     286: 1
     289: 1
     290: 1
     291: 1
     299: 1
     301: 1
     309: 1
     310: q+1
     311: 1
     312: 1
     313: 1
     316: 1
     318: 1
     320: 1
     327: 1
     328: 1
     329: 1
     330: 1
     331: q+1
     337: 1
     338: 1
     339: 1
     349: 1
     359: 1
     361: 1
     368: 1
     369: 1
     370: 1
     380: 1
     381: 1
     382: 1
     383: q+1
     384: 1
     413: 1
     425: 1
     432: 1
     433: 1
     436: 1
     437: 1
     472: 1
     476: 1
     482: 1
     516: 1

517:   0: 1
       1: 1
       2: q^3+1
       3: 1
       4: 1
       6: 1
       7: 1
       8: q^3+1
      12: q^5+1
      13: q^3+1
      31: 1
      32: 1
      33: 1
      36: 1
      37: 1
      38: 1
      41: 1
      42: 1
      44: q^3+1
      46: 1
      47: 1
      48: q^3+1
      56: 1
      59: 1
      60: 1
      71: 1
      72: 1
      73: 1
      76: 1
      77: 1
      78: 1
      81: 1
      82: 1
      83: q^3+1
      86: 1
      87: 1
      88: q^3+1
      95: 1
     100: 1
     103: 1
     106: 1
     109: 1
     110: 1
     121: 1
     122: 1
     123: 1
     126: 1
     127: 1
     128: 1
     131: 1
     132: 1
     133: q^3+1
     145: 1
     146: 1
     149: 1
     154: 1
     155: 1
     158: 1
     161: 1
     172: 1
     173: 1
     174: 1
     177: 1
     178: 1
     179: q^3+1
     182: 1
     183: 1
     184: 1
     197: 1
     202: 1
     205: 1
     206: 1
     209: 1
     210: 1
     211: 1
     214: 1
     229: 1
     230: 1
     231: 1
     234: 1
     235: 1
     236: 1
     255: 1
     256: 1
     257: 1
     260: 1
     263: 1
     268: 1
     270: 1
     273: 1
     274: 1
     275: 1
     276: 1
     284: 1
     285: 1
     286: 1
     299: 1
     310: 1
     311: 1
     316: 1
     318: 1
     329: 1
     330: 1
     331: 1
     332: 1
     333: 1
     334: 1
     352: 1
     359: 1
     360: 1
     370: 1
     381: 1
     383: 1
     384: 1
     415: 1
     432: 1
     435: 1
     436: 1
     472: 1
     477: 1
     517: 1

518:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       5: q+1
       6: q+1
       7: q+1
       8: q+1
       9: q+1
      10: q+1
      11: q+1
      12: q+1
      13: q+1
      14: q+1
      15: q+1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      20: q+1
      21: q+1
      22: q+1
      23: q+1
      24: q+1
      25: q+1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      30: q+1
      31: q+1
      32: q+1
      33: q+1
      34: q+1
      35: q+1
      36: q+1
      37: q+1
      38: q+1
      39: q+1
      40: q+1
      41: q+1
      42: q+1
      43: q+1
      44: q+1
      45: q+1
      46: 1
      47: 1
      48: 1
      49: 1
      50: 1
      51: q+1
      52: q+1
      53: q+1
      54: q+1
      55: q+1
      56: q+1
      57: 1
      58: 1
      59: 1
      60: 1
      61: q+1
      62: q+1
      63: q+1
      64: q+1
      65: q+1
      66: q+1
      67: q+1
      68: q+1
      69: q+1
      70: q+1
      71: q+1
      72: q+1
      73: q+1
      74: q+1
      75: q+1
      76: q+1
      77: q+1
      78: q+1
      79: q+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: 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: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: 1
     109: 1
     110: 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: q+1
     125: q+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: q+1
     141: q+1
     142: q+1
     143: q+1
     144: q+1
     145: q+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: 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: q+1
     172: 1
     173: 1
     174: 1
     175: 1
     176: 1
     182: 1
     183: 1
     184: 1
     185: 1
     186: 1
     187: q+1
     188: q+1
     189: q+1
     190: q+1
     191: q+1
     192: q+1
     193: q+1
     194: q+1
     195: q+1
     196: 1
     197: 1
     198: 1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     210: 1
     211: 1
     212: 1
     213: 1
     214: 1
     215: 1
     216: 1
     217: 1
     218: 1
     219: q+1
     220: q+1
     221: q+1
     222: q+1
     223: q+1
     224: 1
     225: 1
     226: 1
     227: 1
     228: 1
     234: 1
     235: 1
     236: 1
     237: 1
     238: 1
     239: q+1
     240: q+1
     241: q+1
     242: q+1
     243: q+1
     244: q+1
     245: q+1
     246: 1
     247: 1
     248: 1
     249: 1
     250: 1
     251: 1
     252: 1
     253: 1
     254: 1
     255: 1
     263: 1
     264: 1
     265: 1
     266: 1
     267: 1
     268: 1
     269: 1
     270: 1
     271: 1
     272: 1
     279: 1
     280: 1
     281: 1
     282: 1
     283: 1
     289: 1
     290: 1
     291: 1
     292: 1
     293: 1
     294: q+1
     295: q+1
     296: q+1
     297: 1
     298: 1
     302: 1
     303: 1
     304: 1
     305: 1
     306: 1
     307: 1
     308: 1
     309: 1
     320: 1
     321: 1
     322: 1
     323: 1
     324: 1
     325: 1
     326: 1
     327: 1
     328: 1
     329: 1
     342: 1
     343: 1
     344: 1
     345: 1
     346: 1
     347: q+1
     348: 1
     354: 1
     355: 1
     356: 1
     357: 1
     358: 1
     371: 1
     372: 1
     373: 1
     374: 1
     375: 1
     376: 1
     377: 1
     378: 1
     379: 1
     380: 1
     403: 1
     411: 1
     412: 1
     426: 1
     427: 1
     428: 1
     429: 1
     430: 1
     431: 1
     460: 1
     473: 1
     474: 1
     475: 1
     518: 1

519:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q^2+q+1
       6: q+1
       7: q^2+q+1
       8: q^2+q+1
      12: q+1
      13: q^2+q+1
      31: q+1
      32: q+1
      33: q^2+q+1
      36: q+1
      37: q^2+q+1
      38: q+1
      41: q+1
      42: q+1
      44: q^2+q+1
      46: q+1
      47: q+1
      48: q+1
      56: q+1
      59: q+1
      60: q+1
      71: q+1
      72: q^2+q+1
      73: q+1
      76: q+1
      77: q+1
      78: q^2+q+1
      81: q+1
      82: q+1
      83: q+1
      86: q+1
      87: q+1
      88: q+1
      95: q+1
     100: q+1
     103: q+1
     106: q+1
     109: q+1
     110: q+1
     121: q+1
     122: q+1
     123: q^2+q+1
     126: q+1
     127: q+1
     128: q+1
     131: q+1
     132: q+1
     133: q+1
     145: q+1
     146: q+1
     149: q+1
     154: q+1
     155: q+1
     158: q+1
     161: q+1
     172: q+1
     173: q+1
     174: q+1
     177: 1
     178: 1
     179: q+1
     182: q+1
     183: q+1
     184: q+1
     197: q+1
     202: q+1
     205: q+1
     206: 1
     209: 1
     210: q+1
     211: q+1
     214: q+1
     229: 1
     230: 1
     231: q+1
     234: q+1
     235: q+1
     236: q+1
     255: q+1
     256: 1
     257: 1
     260: 1
     263: q+1
     268: q+1
     270: q+1
     273: 1
     274: 1
     275: 1
     276: q+1
     284: 1
     285: 1
     286: q+1
     299: 1
     310: 1
     311: 1
     316: 1
     318: 1
     329: q+1
     330: 1
     331: 1
     332: 1
     333: 1
     334: q+1
     352: 1
     359: 1
     360: 1
     370: 1
     381: 1
     383: 1
     384: 1
     385: 1
     386: 1
     387: q+1
     402: 1
     410: 1
     415: 1
     432: 1
     435: 1
     436: 1
     461: 1
     477: 1
     478: 1
     519: 1

520:   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^4+q^3+q+1
       6: q^3+2q+1
       7: q^2+2q+1
       8: q^3+2q^2+2q+1
      10: q^4+q^3+q+1
      11: q+1
      12: q^4+q^3+q+1
      13: q^3+2q^2+2q+1
      16: q^3+1
      18: q^3+1
      26: q^3+q+1
      27: q^3+q+1
      28: q+1
      29: q^3+1
      31: q^3+2q+1
      32: q^3+2q+1
      33: q^2+2q+1
      34: q^3+1
      36: 2q+1
      37: q^2+2q+1
      38: q^3+q+1
      39: q^3+1
      41: q^3+2q+1
      42: q^3+2q+1
      43: q^4+q^3+q+1
      44: q^3+2q^2+2q+1
      46: 2q+1
      47: 2q+1
      48: q^2+2q+1
      49: q+1
      53: q^3+1
      55: q^3+q+1
      56: q^3+2q+1
      58: q+1
      59: 2q+1
      60: 2q+1
      66: q^3+q+1
      67: q^3+q+1
      68: q+1
      69: q^3+1
      71: 2q+1
      72: q^2+2q+1
      73: q^3+q+1
      74: q^3+1
      76: 2q+1
      77: q^3+q+1
      78: q^2+2q+1
      79: q^3+1
      81: 2q+1
      82: 2q+1
      83: q^2+2q+1
      84: q+1
      86: 2q+1
      87: 2q+1
      88: q^2+2q+1
      89: q+1
      92: q^3+1
      95: q+1
      97: q^3+q+1
      99: q^3+1
     100: 2q+1
     102: q+1
     103: 2q+1
     105: q+1
     106: 2q+1
     108: q+1
     109: 2q+1
     110: 2q+1
     116: q+1
     117: q+1
     118: 1
     119: 1
     121: 2q+1
     122: q^3+q+1
     123: q^2+2q+1
     124: q^3+1
     126: 2q+1
     127: q+1
     128: 2q+1
     129: 1
     131: 2q+1
     132: 2q+1
     133: q^2+2q+1
     134: q+1
     139: 1
     140: 1
     142: q^3+1
     145: q+1
     146: 2q+1
     148: q+1
     149: q+1
     151: 1
     153: q+1
     154: 2q+1
     155: 2q+1
     157: q+1
     158: 2q+1
     160: q+1
     161: 2q+1
     167: q+1
     168: 1
     169: q+1
     170: 1
     172: 2q+1
     173: q+1
     174: 2q+1
     175: 1
     177: q+1
     178: q+1
     179: q^2+2q+1
     180: q+1
     182: 2q+1
     183: q+1
     184: 2q+1
     185: 1
     191: 1
     194: 1
     195: 1
     196: q+1
     197: q+1
     199: 1
     200: 1
     202: q+1
     205: 2q+1
     206: q+1
     208: q+1
     209: q+1
     210: 2q+1
     211: q+1
     213: 1
     214: 2q+1
     216: q+1
     218: q+1
     224: q+1
     225: 1
     226: q+1
     227: 1
     229: 1
     230: 1
     231: q+1
     232: 1
     234: 2q+1
     235: q+1
     236: 2q+1
     237: 1
     245: 1
     247: 1
     248: 1
     252: 1
     253: 1
     254: q+1
     255: q+1
     256: q+1
     257: 1
     259: 1
     260: 1
     262: q+1
     263: q+1
     264: q+1
     265: 1
     266: 1
     268: q+1
     270: 2q+1
     273: q+1
     274: 1
     275: 1
     276: q+1
     277: 1
     284: 1
     285: 1
     286: q+1
     287: 1
     289: q+1
     290: 1
     291: q+1
     292: 1
     297: 1
     299: 1
     301: 1
     307: 1
     309: 1
     310: 1
     311: 1
     312: q+1
     313: 1
     314: 1
     316: 1
     318: 1
     320: 1
     322: 1
     326: 1
     327: 1
     328: q+1
     329: q+1
     330: q+1
     331: 1
     332: 1
     333: 1
     334: q+1
     335: 1
     349: 1
     350: 1
     352: 1
     357: 1
     359: 1
     360: 1
     361: 1
     363: 1
     370: 1
     371: 1
     378: 1
     380: 1
     381: 1
     382: q+1
     383: 1
     384: 1
     404: 1
     413: 1
     415: 1
     416: 1
     430: 1
     432: 1
     433: 1
     435: 1
     436: 1
     462: 1
     476: 1
     477: 1
     479: 1
     520: 1

521:   0: q+1
       1: q^3+1
       2: q+1
       3: q+1
       4: q^2+q+1
       5: q^3+1
       6: q^3+1
       7: 1
       8: q^2+q+1
       9: q^3+1
      10: q^3+1
      11: 1
      12: q^3+1
      13: q^2+q+1
      14: q^3+1
      15: 1
      16: q^3+1
      17: q^3+1
      21: q^3+1
      22: q^3+1
      23: 1
      24: q^3+1
      26: q^3+1
      27: q^3+1
      28: 1
      29: q^3+1
      31: 1
      32: 1
      33: 1
      36: q+1
      37: q^2+q+1
      38: q^3+1
      39: q^3+1
      40: q^3+1
      41: q+1
      42: q^3+1
      43: q^3+1
      44: q^2+q+1
      45: q^3+1
      46: q+1
      47: 1
      48: q+1
      49: 1
      50: 1
      52: q^3+1
      53: q^3+1
      54: q^3+1
      55: q^3+1
      56: 1
      57: 1
      58: 1
      59: 1
      60: q+1
      61: q^3+1
      62: q^3+1
      63: 1
      64: q^3+1
      66: 1
      67: 1
      68: 1
      71: 1
      72: 1
      73: 1
      76: q+1
      77: q^3+1
      78: q^2+q+1
      79: q^3+1
      80: q^3+1
      81: q+1
      82: 1
      83: q+1
      84: 1
      85: 1
      86: q+1
      87: 1
      88: q+1
      89: 1
      90: 1
      93: q^3+1
      95: 1
      96: q^3+1
      97: 1
      98: q^3+1
      99: q^3+1
     100: q+1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: 1
     109: 1
     110: q+1
     111: 1
     112: 1
     113: 1
     116: 1
     117: 1
     118: 1
     121: 1
     122: 1
     123: 1
     126: q+1
     127: 1
     128: q+1
     129: 1
     130: 1
     131: q+1
     132: 1
     133: q+1
     134: 1
     135: 1
     140: 1
     141: 1
     144: q^3+1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     151: 1
     152: 1
     153: 1
     154: q+1
     155: q+1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     161: 1
     162: 1
     163: 1
     164: 1
     167: 1
     168: 1
     169: 1
     172: 1
     173: 1
     174: 1
     177: 1
     178: 1
     179: q+1
     180: 1
     181: 1
     182: q+1
     183: 1
     184: q+1
     185: 1
     186: 1
     190: 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
     209: 1
     210: 1
     211: 1
     212: 1
     213: 1
     214: q+1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     224: 1
     225: 1
     226: 1
     229: 1
     230: 1
     231: q+1
     232: 1
     233: 1
     234: 1
     235: 1
     236: 1
     244: 1
     246: 1
     247: 1
     249: 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
     268: 1
     269: 1
     270: 1
     271: 1
     272: 1
     273: 1
     274: 1
     275: 1
     276: q+1
     277: 1
     278: 1
     279: 1
     280: 1
     281: 1
     289: 1
     290: 1
     291: 1
     298: 1
     299: 1
     300: 1
     301: 1
     306: 1
     308: 1
     309: 1
     310: 1
     311: 1
     312: 1
     313: 1
     317: 1
     319: 1
     320: 1
     321: 1
     323: 1
     327: 1
     328: 1
     329: 1
     330: 1
     331: 1
     342: 1
     343: 1
     344: 1
     349: 1
     353: 1
     358: 1
     359: 1
     361: 1
     362: 1
     364: 1
     372: 1
     377: 1
     379: 1
     380: 1
     381: 1
     382: 1
     383: 1
     405: 1
     413: 1
     417: 1
     431: 1
     432: 1
     433: 1
     434: 1
     463: 1
     476: 1
     480: 1
     521: 1

522:   0: q^4+q^3+2q^2+3q+1
       1: q^3+2q+1
       2: q^3+3q^2+3q+1
       3: q^4+q^3+2q^2+3q+1
       4: q^3+3q^2+3q+1
       5: q^3+2q+1
       6: q^3+2q+1
       7: q^2+2q+1
       8: q^4+3q^3+4q^2+3q+1
      10: q^3+2q+1
      11: q^2+2q+1
      12: q^4+q^3+q+1
      13: q^4+3q^3+4q^2+3q+1
      16: q^4+q^3+q+1
      26: q^3+2q+1
      27: q^3+2q+1
      28: q^2+2q+1
      29: q^4+q^3+q+1
      31: q^3+2q+1
      32: q^3+2q+1
      33: q^2+2q+1
      36: 2q^2+3q+1
      37: q^3+3q^2+3q+1
      38: q^3+q+1
      39: q^3+q+1
      41: q^4+q^3+2q^2+3q+1
      42: q^3+2q+1
      43: q^3+2q+1
      44: q^4+3q^3+4q^2+3q+1
      46: 2q^2+3q+1
      47: 2q+1
      48: q^3+3q^2+3q+1
      49: 2q+1
      53: q^3+q+1
      55: q^3+2q+1
      56: q^3+2q+1
      58: 2q+1
      59: 2q+1
      60: 2q^2+3q+1
      66: q^3+2q+1
      67: q^3+2q+1
      68: q^2+2q+1
      71: 2q+1
      72: q^2+2q+1
      73: q^3+q+1
      76: 2q^2+3q+1
      77: q^3+q+1
      78: q^3+3q^2+3q+1
      79: q^3+q+1
      81: 2q^2+3q+1
      82: 2q+1
      83: q^3+3q^2+3q+1
      84: 2q+1
      86: 2q^2+3q+1
      87: 2q+1
      88: q^3+3q^2+3q+1
      89: 2q+1
      95: q+1
      97: q^3+2q+1
      99: q^3+q+1
     100: 2q^2+3q+1
     102: 2q+1
     103: 2q+1
     105: 2q+1
     106: 2q+1
     108: 2q+1
     109: 2q+1
     110: 2q^2+3q+1
     116: 2q+1
     117: q^2+2q+1
     118: q^3+q+1
     121: 2q+1
     122: q^3+q+1
     123: q^2+2q+1
     126: 2q^2+3q+1
     127: q+1
     128: 2q^2+3q+1
     129: q+1
     131: 2q^2+3q+1
     132: 2q+1
     133: q^3+3q^2+3q+1
     134: 2q+1
     140: q+1
     145: q+1
     146: 2q+1
     148: 2q+1
     149: q+1
     151: q+1
     153: 2q+1
     154: 2q^2+3q+1
     155: 2q^2+3q+1
     157: 2q+1
     158: 2q+1
     160: 2q+1
     161: 2q+1
     167: 2q+1
     168: q^3+q+1
     169: q^2+2q+1
     172: 2q+1
     173: q+1
     174: 2q+1
     177: q^2+2q+1
     178: q+1
     179: q^3+3q^2+3q+1
     180: q+1
     182: 2q^2+3q+1
     183: q+1
     184: 2q^2+3q+1
     185: q+1
     195: q+1
     196: 2q+1
     197: q+1
     199: q+1
     202: q+1
     205: 2q+1
     206: q^2+2q+1
     208: q+1
     209: q+1
     210: 2q+1
     211: q+1
     213: q+1
     214: 2q^2+3q+1
     216: 2q+1
     218: 2q+1
     224: 2q+1
     225: q+1
     226: 2q+1
     229: q+1
     230: 1
     231: q^2+2q+1
     232: 1
     234: 2q+1
     235: q+1
     236: 2q+1
     247: q+1
     253: q+1
     254: 2q+1
     255: q+1
     256: q+1
     257: 1
     259: 1
     260: q+1
     262: q+1
     263: q+1
     264: 2q+1
     265: q+1
     268: q+1
     270: 2q+1
     273: q^2+2q+1
     274: q+1
     275: 1
     276: q^2+2q+1
     277: 1
     284: 1
     285: 1
     286: q+1
     289: 2q+1
     290: q+1
     291: 2q+1
     299: 1
     301: 1
     309: q+1
     310: q+1
     311: 1
     312: q+1
     313: 1
     316: 1
     318: 1
     320: q+1
     327: q+1
     328: 2q+1
     329: q+1
     330: q+1
     331: q+1
     332: 1
     333: 1
     334: q+1
     337: 1
     338: 1
     339: q+1
     349: 1
     352: 1
     359: 1
     360: 1
     361: 1
     368: 1
     369: 1
     370: 1
     380: q+1
     381: 1
     382: q+1
     383: q+1
     384: 1
     390: 1
     391: 1
     392: q+1
     409: 1
     413: 1
     414: 1
     415: 1
     425: 1
     432: 1
     433: 1
     435: 1
     436: 1
     437: 1
     465: 1
     476: 1
     477: 1
     481: 1
     482: 1
     522: 1

523:   0: q^2+2q+1
       1: q+1
       2: q^2+2q+1
       3: q+1
       4: q^2+2q+1
       5: q+1
       6: 1
       7: q+1
       8: q^2+2q+1
      10: 1
      11: q+1
      12: 1
      13: q^3+2q^2+2q+1
      16: 1
      26: q+1
      27: 1
      28: q+1
      29: 1
      31: q+1
      32: 1
      33: q+1
      36: q^2+2q+1
      37: q^2+2q+1
      38: 1
      39: 1
      41: q+1
      42: 1
      43: 1
      44: q^2+2q+1
      46: q^2+2q+1
      47: q+1
      48: q^2+2q+1
      49: q+1
      53: 1
      55: 1
      56: 1
      58: q+1
      59: q+1
      60: q^2+2q+1
      66: q+1
      67: 1
      68: q+1
      71: q+1
      72: q+1
      73: 1
      76: q+1
      77: 1
      78: q^2+2q+1
      79: 1
      81: q+1
      82: 1
      83: q^2+2q+1
      84: 1
      86: q^2+2q+1
      87: q+1
      88: q^2+2q+1
      89: q+1
      95: 1
      97: 1
      99: 1
     100: q+1
     102: q+1
     103: q+1
     105: 1
     106: 1
     108: q+1
     109: q+1
     110: q^2+2q+1
     116: q+1
     117: q+1
     118: 1
     121: 1
     122: 1
     123: q+1
     126: q+1
     127: 1
     128: q^2+2q+1
     129: 1
     131: q+1
     132: 1
     133: q^2+2q+1
     134: 1
     140: 1
     145: 1
     146: 1
     148: q+1
     149: 1
     151: 1
     153: 1
     154: q+1
     155: q+1
     157: 1
     158: 1
     160: q+1
     161: q+1
     167: 1
     168: 1
     169: q+1
     172: 1
     173: 1
     174: q+1
     177: q+1
     178: 1
     179: q^2+2q+1
     180: 1
     182: q+1
     183: 1
     184: q^2+2q+1
     185: 1
     195: 1
     196: 1
     197: 1
     199: 1
     202: 1
     205: 1
     206: q+1
     208: 1
     209: 1
     210: 1
     211: 1
     213: 1
     214: q+1
     216: 1
     218: q+1
     224: 1
     225: 1
     226: q+1
     229: q+1
     230: 1
     231: q^2+2q+1
     232: 1
     234: 1
     235: 1
     236: q+1
     247: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     259: 1
     260: q+1
     262: 1
     263: 1
     264: 1
     265: 1
     268: 1
     270: 1
     273: q+1
     274: q+1
     276: q+1
     284: 1
     285: 1
     286: q+1
     289: 1
     290: 1
     291: q+1
     309: 1
     310: q+1
     311: 1
     312: 1
     313: 1
     316: 1
     318: 1
     320: 1
     327: 1
     328: 1
     329: 1
     330: 1
     331: q+1
     332: 1
     334: 1
     337: 1
     338: 1
     339: q+1
     360: 1
     361: 1
     368: 1
     369: 1
     370: 1
     380: 1
     381: 1
     382: 1
     383: q+1
     384: 1
     385: 1
     387: 1
     390: 1
     392: 1
     410: 1
     414: 1
     425: 1
     433: 1
     435: 1
     436: 1
     437: 1
     438: 1
     440: 1
     459: 1
     478: 1
     481: 1
     482: 1
     523: 1

524:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+1
       3: q^3+q^2+q+1
       4: q^2+2q+1
       5: q^4+q^2+q+1
       6: q^3+q^2+q+1
       7: q^2+2q+1
       8: q^2+2q+1
       9: q^4+q^2+q+1
      10: q^2+1
      11: q+1
      12: q^3+q^2+q+1
      13: q^3+2q^2+2q+1
      14: q^2+1
      15: q+1
      16: q^2+1
      17: q^2+1
      18: q^2+1
      19: q^2+1
      21: q^4+q^2+q+1
      22: q^2+1
      23: q+1
      24: q^2+1
      25: q^2+1
      26: q^2+q+1
      27: q^2+1
      28: q+1
      29: q^2+1
      31: q^2+2q+1
      32: q^3+q^2+q+1
      33: q^2+2q+1
      34: q^2+1
      35: q^2+1
      36: q^2+2q+1
      37: q^2+2q+1
      38: q^3+q^2+q+1
      39: q^2+1
      40: q^2+1
      41: q^2+q+1
      42: q^2+q+1
      43: q^2+1
      44: q^2+2q+1
      45: q^2+1
      46: 2q+1
      47: 2q+1
      48: 2q+1
      49: q+1
      50: q+1
      51: q^2+1
      52: q^2+1
      53: q^2+1
      54: q^2+1
      55: q^2+1
      56: q^2+q+1
      57: q+1
      58: q+1
      59: 2q+1
      60: 2q+1
      61: q^2+q+1
      62: q^2+1
      63: q+1
      64: q^2+1
      66: q^2+q+1
      67: q^2+1
      68: q+1
      69: q^2+1
      71: q^2+2q+1
      72: q^2+2q+1
      73: q^3+q^2+q+1
      74: q^2+1
      75: q^2+1
      76: q^2+q+1
      77: q^2+q+1
      78: q^2+2q+1
      79: q^2+1
      80: q^2+1
      81: q+1
      82: q+1
      83: 2q+1
      84: 1
      85: 1
      86: 2q+1
      87: 2q+1
      88: 2q+1
      89: q+1
      90: q+1
      92: q^2+1
      93: q^2+1
      94: q^2+1
      95: q^2+q+1
      96: q^2+1
      97: q^2+1
      98: q^2+1
      99: q^2+1
     100: q+1
     101: q+1
     102: q+1
     103: 2q+1
     104: 1
     105: 1
     106: q+1
     107: q+1
     108: q+1
     109: 2q+1
     110: 2q+1
     111: q^2+q+1
     112: q^2+1
     113: q+1
     114: q^2+1
     116: q^2+q+1
     117: q+1
     118: q^2+1
     119: q^2+1
     121: q^2+q+1
     122: q^2+q+1
     123: q^2+2q+1
     124: q^2+1
     125: q^2+1
     126: q+1
     127: q+1
     128: 2q+1
     129: 1
     130: 1
     131: q+1
     132: q+1
     133: 2q+1
     134: 1
     135: 1
     137: q^2+1
     139: q^2+1
     140: q^2+1
     141: q^2+1
     142: q^2+1
     143: q^2+1
     144: q^2+1
     145: q^2+q+1
     146: q+1
     147: q+1
     148: q+1
     149: q+1
     150: 1
     151: 1
     152: 1
     153: 1
     154: q+1
     155: q+1
     156: 1
     157: 1
     158: q+1
     159: q+1
     160: q+1
     161: 2q+1
     162: q^2+q+1
     163: q+1
     164: q^2+1
     165: q^2+1
     167: 1
     168: 1
     169: q+1
     170: 1
     172: q+1
     173: q+1
     174: 2q+1
     175: 1
     176: 1
     177: 1
     178: 1
     179: q+1
     180: 1
     181: 1
     182: q+1
     183: q+1
     184: 2q+1
     185: 1
     186: 1
     189: q^2+1
     190: q^2+1
     191: q^2+1
     192: q^2+1
     194: 1
     195: 1
     196: 1
     197: q+1
     198: q+1
     199: 1
     200: 1
     201: 1
     202: q+1
     203: 1
     204: 1
     205: q+1
     206: 1
     207: 1
     208: 1
     209: 1
     210: q+1
     211: q+1
     212: 1
     213: 1
     214: q+1
     215: 1
     216: 1
     217: q+1
     218: q+1
     219: 1
     220: 1
     221: q+1
     222: 1
     224: 1
     225: 1
     226: q+1
     227: 1
     229: 1
     230: 1
     231: q+1
     232: 1
     233: 1
     234: q+1
     235: q+1
     236: 2q+1
     237: 1
     238: 1
     240: q^2+1
     243: 1
     244: 1
     245: 1
     246: 1
     247: 1
     248: 1
     249: 1
     250: 1
     252: 1
     253: 1
     254: 1
     255: q+1
     256: 1
     257: 1
     258: 1
     259: 1
     260: 1
     261: 1
     262: 1
     263: q+1
     264: 1
     265: 1
     266: 1
     267: 1
     268: q+1
     269: 1
     270: q+1
     271: 1
     272: q+1
     273: 1
     279: 1
     280: 1
     281: q+1
     282: 1
     284: 1
     285: 1
     286: q+1
     287: 1
     288: 1
     289: 1
     290: 1
     291: q+1
     292: 1
     296: 1
     297: 1
     298: 1
     302: 1
     305: 1
     306: 1
     307: 1
     308: 1
     309: 1
     311: 1
     312: 1
     313: 1
     314: 1
     315: 1
     316: 1
     317: 1
     318: 1
     319: 1
     320: 1
     321: 1
     322: 1
     323: 1
     324: 1
     326: 1
     327: 1
     328: 1
     329: q+1
     330: 1
     331: 1
     342: 1
     343: 1
     344: q+1
     345: 1
     348: 1
     356: 1
     357: 1
     358: 1
     361: 1
     362: 1
     363: 1
     364: 1
     365: 1
     370: 1
     371: 1
     372: 1
     373: 1
     376: 1
     377: 1
     378: 1
     379: 1
     380: 1
     381: 1
     382: 1
     384: 1
     412: 1
     416: 1
     417: 1
     418: 1
     426: 1
     429: 1
     430: 1
     431: 1
     433: 1
     434: 1
     436: 1
     466: 1
     475: 1
     479: 1
     480: 1
     524: 1

525:   0: 1
       1: 1
       2: q^3+q^2+q+1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
       8: q^3+q^2+q+1
       9: 1
      10: 1
      11: 1
      13: q^3+q^2+q+1
      14: 1
      15: 1
      21: 1
      22: 1
      23: 1
      26: 1
      27: 1
      28: 1
      31: 1
      32: 1
      33: 1
      36: 1
      37: 1
      41: 1
      42: 1
      43: 1
      44: q^3+q^2+q+1
      45: 1
      46: 1
      47: 1
      48: q^3+q^2+q+1
      49: 1
      50: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: 1
      63: 1
      66: 1
      67: 1
      68: 1
      71: 1
      72: 1
      76: 1
      78: 1
      81: 1
      82: 1
      83: q^3+q^2+q+1
      84: 1
      85: 1
      86: 1
      87: 1
      88: q^3+q^2+q+1
      89: 1
      90: 1
      96: 1
      97: 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
     116: 1
     117: 1
     121: 1
     123: 1
     126: 1
     128: 1
     131: 1
     132: 1
     133: q^3+q^2+q+1
     134: 1
     135: 1
     141: 1
     146: 1
     147: 1
     148: 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
     167: 1
     169: 1
     172: 1
     174: 1
     177: 1
     178: 1
     179: q^3+q^2+q+1
     180: 1
     181: 1
     182: 1
     184: 1
     196: 1
     198: 1
     204: 1
     205: 1
     206: 1
     207: 1
     208: 1
     209: 1
     210: 1
     214: 1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     221: 1
     224: 1
     226: 1
     229: 1
     231: 1
     234: 1
     236: 1
     246: 1
     254: 1
     256: 1
     260: 1
     261: 1
     262: 1
     264: 1
     270: 1
     271: 1
     272: 1
     273: 1
     274: 1
     276: 1
     279: 1
     281: 1
     284: 1
     286: 1
     289: 1
     291: 1
     308: 1
     310: 1
     312: 1
     318: 1
     319: 1
     321: 1
     328: 1
     330: 1
     331: 1
     332: 1
     334: 1
     337: 1
     339: 1
     342: 1
     344: 1
     360: 1
     362: 1
     369: 1
     379: 1
     382: 1
     383: 1
     384: 1
     390: 1
     392: 1
     395: 1
     397: 1
     414: 1
     424: 1
     434: 1
     435: 1
     437: 1
     443: 1
     445: 1
     464: 1
     481: 1
     483: 1
     525: 1

526:   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
      10: q^3+1
      11: q+1
      12: q^3+1
      13: q^3+q^2+q+1
      16: q^3+1
      18: q^3+1
      26: q+1
      27: q^3+1
      28: q+1
      29: q^3+1
      31: q+1
      32: q^3+1
      33: q+1
      34: q^3+1
      36: q+1
      37: q+1
      38: q^3+1
      39: q^3+1
      41: 1
      42: 1
      43: 1
      44: q+1
      46: q+1
      47: q+1
      48: q+1
      49: q+1
      53: q^3+1
      55: 1
      56: 1
      58: q+1
      59: q+1
      60: q+1
      66: q+1
      67: q^3+1
      68: q+1
      69: q^3+1
      71: q+1
      72: q+1
      73: q^3+1
      74: q^3+1
      76: 1
      77: 1
      78: q+1
      79: 1
      81: 1
      82: 1
      83: q+1
      84: 1
      86: q+1
      87: q+1
      88: q+1
      89: q+1
      92: q^3+1
      95: 1
      97: 1
      99: 1
     100: 1
     102: q+1
     103: q+1
     105: 1
     106: 1
     108: q+1
     109: q+1
     110: q+1
     116: q+1
     117: q+1
     118: q^3+1
     119: q^3+1
     121: 1
     122: 1
     123: q+1
     124: 1
     126: 1
     127: 1
     128: q+1
     129: 1
     131: 1
     132: 1
     133: q+1
     134: 1
     139: q^3+1
     140: 1
     142: 1
     145: 1
     146: 1
     148: q+1
     149: 1
     151: 1
     153: 1
     154: 1
     155: 1
     157: 1
     158: 1
     160: q+1
     161: q+1
     167: 1
     168: 1
     169: q+1
     170: 1
     172: 1
     173: 1
     174: q+1
     175: 1
     177: 1
     178: 1
     179: q+1
     180: 1
     182: 1
     183: 1
     184: q+1
     185: 1
     191: 1
     194: 1
     195: 1
     196: 1
     197: 1
     199: 1
     200: 1
     202: 1
     205: 1
     206: 1
     208: 1
     209: 1
     210: 1
     211: 1
     213: 1
     214: 1
     216: 1
     218: q+1
     224: 1
     225: 1
     226: q+1
     227: 1
     229: 1
     230: 1
     231: q+1
     232: 1
     234: 1
     235: 1
     236: q+1
     237: 1
     245: 1
     247: 1
     248: 1
     252: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     259: 1
     260: 1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     268: 1
     270: 1
     273: 1
     284: 1
     285: 1
     286: q+1
     287: 1
     289: 1
     290: 1
     291: q+1
     292: 1
     297: 1
     307: 1
     309: 1
     311: 1
     312: 1
     313: 1
     314: 1
     316: 1
     318: 1
     320: 1
     322: 1
     326: 1
     327: 1
     328: 1
     329: 1
     330: 1
     331: 1
     337: 1
     338: 1
     339: q+1
     340: 1
     357: 1
     361: 1
     363: 1
     367: 1
     368: 1
     369: 1
     370: 1
     371: 1
     378: 1
     380: 1
     381: 1
     382: 1
     384: 1
     416: 1
     423: 1
     425: 1
     430: 1
     433: 1
     436: 1
     437: 1
     470: 1
     479: 1
     482: 1
     526: 1

527:   0: q^2+2q+1
       1: q+1
       2: q^2+2q+1
       3: q^4+q^3+q+1
       4: q^2+2q+1
       5: q+1
       6: q^3+1
       7: q+1
       8: q^2+2q+1
       9: q+1
      10: q^3+1
      11: q+1
      12: q^3+1
      13: q^4+2q^3+2q^2+2q+1
      14: q^3+1
      15: q+1
      16: q^3+1
      17: q^3+1
      21: q+1
      22: q^3+1
      23: q+1
      24: q^3+1
      26: q+1
      27: q^3+1
      28: q+1
      29: q^3+1
      31: q+1
      32: q^3+1
      33: q+1
      36: q^2+2q+1
      37: q^2+2q+1
      38: q^3+1
      39: q^3+1
      40: q^3+1
      41: q+1
      42: 1
      43: 1
      44: q^2+2q+1
      45: 1
      46: q^2+2q+1
      47: q+1
      48: q^2+2q+1
      49: q+1
      50: q+1
      52: q^3+1
      53: q^3+1
      54: 1
      55: 1
      56: 1
      57: q+1
      58: q+1
      59: q+1
      60: q^2+2q+1
      61: q+1
      62: q^3+1
      63: q+1
      64: q^3+1
      66: q+1
      67: q^3+1
      68: q+1
      71: q+1
      72: q+1
      73: q^3+1
      76: q+1
      77: 1
      78: q^2+2q+1
      79: 1
      80: 1
      81: q+1
      82: 1
      83: q^2+2q+1
      84: 1
      85: 1
      86: q^2+2q+1
      87: q+1
      88: q^2+2q+1
      89: q+1
      90: q+1
      93: q^3+1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: q+1
     101: q+1
     102: q+1
     103: q+1
     104: 1
     105: 1
     106: 1
     107: q+1
     108: q+1
     109: q+1
     110: q^2+2q+1
     111: q+1
     112: q^3+1
     113: q+1
     116: q+1
     117: q+1
     118: q^3+1
     121: 1
     122: 1
     123: q+1
     126: q+1
     127: 1
     128: q^2+2q+1
     129: 1
     130: 1
     131: q+1
     132: 1
     133: q^2+2q+1
     134: 1
     135: 1
     140: 1
     141: 1
     144: 1
     145: 1
     146: 1
     147: q+1
     148: q+1
     149: 1
     150: 1
     151: 1
     152: 1
     153: 1
     154: q+1
     155: q+1
     156: 1
     157: 1
     158: 1
     159: q+1
     160: q+1
     161: q+1
     162: q+1
     163: q+1
     164: q^3+1
     167: 1
     168: 1
     169: q+1
     172: 1
     173: 1
     174: q+1
     177: q+1
     178: 1
     179: q^2+2q+1
     180: 1
     181: 1
     182: q+1
     183: 1
     184: q^2+2q+1
     185: 1
     186: 1
     190: 1
     195: 1
     196: 1
     197: 1
     198: q+1
     199: 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: 1
     214: q+1
     215: 1
     216: 1
     217: q+1
     218: q+1
     219: 1
     220: 1
     221: q+1
     224: 1
     225: 1
     226: q+1
     229: q+1
     230: 1
     231: q^2+2q+1
     232: 1
     233: 1
     234: 1
     235: 1
     236: q+1
     244: 1
     246: 1
     247: 1
     249: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     258: 1
     259: 1
     260: q+1
     261: 1
     262: 1
     263: 1
     264: 1
     265: 1
     268: 1
     269: 1
     270: 1
     271: 1
     272: q+1
     273: q+1
     279: 1
     280: 1
     281: q+1
     284: 1
     285: 1
     286: q+1
     289: 1
     290: 1
     291: q+1
     298: 1
     306: 1
     308: 1
     309: 1
     311: 1
     312: 1
     313: 1
     316: 1
     317: 1
     318: 1
     319: 1
     320: 1
     321: 1
     323: 1
     327: 1
     328: 1
     329: 1
     330: 1
     331: q+1
     337: 1
     338: 1
     339: q+1
     342: 1
     343: 1
     344: q+1
     358: 1
     361: 1
     362: 1
     364: 1
     368: 1
     369: 1
     370: 1
     372: 1
     377: 1
     379: 1
     380: 1
     381: 1
     382: 1
     384: 1
     395: 1
     396: 1
     397: q+1
     417: 1
     422: 1
     424: 1
     425: 1
     431: 1
     433: 1
     434: 1
     436: 1
     437: 1
     471: 1
     480: 1
     482: 1
     483: 1
     527: 1

528:   0: q^3+3q^2+3q+1
       1: q^3+3q^2+3q+1
       2: q^3+3q^2+3q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: q^2+2q+1
       6: q^2+2q+1
       7: q^2+2q+1
       8: q^2+2q+1
       9: q^2+2q+1
      10: q+1
      11: q+1
      12: q^2+2q+1
      13: q^3+2q^2+2q+1
      14: q+1
      15: q+1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      21: q^2+2q+1
      22: q+1
      23: q+1
      24: q+1
      25: q+1
      26: q^2+2q+1
      27: q+1
      28: q+1
      29: q+1
      31: q^3+3q^2+3q+1
      32: q^2+2q+1
      33: q^2+2q+1
      34: q+1
      35: q+1
      36: q^3+3q^2+3q+1
      37: q^2+2q+1
      38: q^2+2q+1
      39: q+1
      40: q+1
      41: q^2+2q+1
      42: q^2+2q+1
      43: q+1
      44: q^2+2q+1
      45: q+1
      46: q^2+2q+1
      47: q^2+2q+1
      48: q^2+2q+1
      49: q+1
      50: q+1
      51: q+1
      52: q+1
      53: q+1
      54: q+1
      55: q+1
      56: q^2+2q+1
      57: q+1
      58: q+1
      59: q^2+2q+1
      60: q^2+2q+1
      61: q^2+2q+1
      62: q+1
      63: q+1
      64: q+1
      66: q^2+2q+1
      67: q+1
      68: q+1
      69: q+1
      71: q^3+3q^2+3q+1
      72: q^2+2q+1
      73: q^2+2q+1
      74: q+1
      75: q+1
      76: q^2+2q+1
      77: q^2+2q+1
      78: q^2+2q+1
      79: q+1
      80: q+1
      81: q+1
      82: q+1
      83: q^2+2q+1
      84: 1
      85: 1
      86: q^2+2q+1
      87: q^2+2q+1
      88: q^2+2q+1
      89: q+1
      90: q+1
      92: q+1
      93: q+1
      94: q+1
      95: q^2+2q+1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     100: q+1
     101: q+1
     102: q+1
     103: q^2+2q+1
     104: 1
     105: 1
     106: q+1
     107: q+1
     108: q+1
     109: q^2+2q+1
     110: q^2+2q+1
     111: q^2+2q+1
     112: q+1
     113: q+1
     114: q+1
     116: q^2+2q+1
     117: q+1
     118: q+1
     119: q+1
     121: q^2+2q+1
     122: q^2+2q+1
     123: q^2+2q+1
     124: q+1
     125: q+1
     126: q+1
     127: q+1
     128: q^2+2q+1
     129: 1
     130: 1
     131: q+1
     132: q+1
     133: q^2+2q+1
     134: 1
     135: 1
     137: q+1
     139: q+1
     140: q+1
     141: q+1
     142: q+1
     143: q+1
     144: q+1
     145: q^2+2q+1
     146: q+1
     147: q+1
     148: q+1
     149: q+1
     150: 1
     151: 1
     152: 1
     153: 1
     154: q+1
     155: q+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: q+1
     167: q+1
     168: q+1
     169: q+1
     170: q+1
     172: q+1
     173: q+1
     174: q^2+2q+1
     175: 1
     176: 1
     177: q+1
     178: q+1
     180: 1
     181: 1
     182: q+1
     183: q+1
     184: q^2+2q+1
     185: 1
     186: 1
     189: q+1
     190: q+1
     191: q+1
     192: q+1
     194: q+1
     195: q+1
     196: 1
     197: q+1
     198: q+1
     199: 1
     200: 1
     201: 1
     202: q+1
     203: 1
     204: 1
     205: q+1
     207: 1
     208: 1
     209: q+1
     210: q+1
     211: q+1
     212: 1
     213: 1
     214: q+1
     215: 1
     216: 1
     217: q+1
     218: q+1
     219: q+1
     220: q+1
     221: q+1
     222: q+1
     224: 1
     225: 1
     226: q+1
     227: 1
     229: q+1
     230: q+1
     232: 1
     233: 1
     234: q+1
     235: q+1
     236: q^2+2q+1
     237: 1
     238: 1
     240: q+1
     243: q+1
     244: q+1
     245: q+1
     246: 1
     247: 1
     248: 1
     249: 1
     250: 1
     252: 1
     253: 1
     254: 1
     255: q+1
     257: q+1
     258: 1
     259: 1
     261: 1
     262: 1
     263: q+1
     264: 1
     265: 1
     266: 1
     267: 1
     268: q+1
     269: 1
     270: q+1
     271: 1
     272: q+1
     274: q+1
     279: 1
     280: 1
     281: q+1
     282: 1
     284: q+1
     285: q+1
     287: 1
     288: 1
     289: 1
     290: 1
     291: q+1
     292: 1
     296: q+1
     297: 1
     298: 1
     302: 1
     305: 1
     306: 1
     307: 1
     308: 1
     309: 1
     313: 1
     314: 1
     315: 1
     316: q+1
     317: 1
     319: 1
     320: 1
     321: 1
     322: 1
     323: 1
     324: 1
     326: 1
     327: 1
     328: 1
     329: q+1
     332: q+1
     337: 1
     338: 1
     340: 1
     342: 1
     343: 1
     344: q+1
     345: 1
     348: 1
     356: 1
     357: 1
     358: 1
     363: 1
     364: 1
     365: 1
     367: 1
     368: 1
     371: 1
     372: 1
     373: 1
     376: 1
     377: 1
     378: 1
     379: 1
     380: 1
     385: q+1
     390: 1
     395: 1
     396: 1
     398: 1
     412: 1
     418: 1
     421: 1
     422: 1
     423: 1
     426: 1
     429: 1
     430: 1
     431: 1
     438: 1
     443: 1
     469: 1
     475: 1
     484: 1
     489: 1
     528: 1

529:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^3+2q^2+2q+1
       3: q^3+3q^2+3q+1
       4: q^2+2q+1
       5: q+1
       6: q^3+3q^2+3q+1
       7: q^2+2q+1
       8: q^3+2q^2+2q+1
       9: q+1
      10: q^2+2q+1
      11: q+1
      12: q^2+2q+1
      14: q^2+2q+1
      15: q+1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      21: q+1
      22: q^2+2q+1
      23: q+1
      24: q+1
      25: q+1
      26: q+1
      27: q^2+2q+1
      28: q+1
      29: q+1
      31: q^2+2q+1
      32: q^3+3q^2+3q+1
      33: q^2+2q+1
      34: q+1
      35: q+1
      36: q^2+2q+1
      37: q^2+2q+1
      38: q^2+2q+1
      39: q+1
      40: q+1
      41: q^2+2q+1
      42: q^2+2q+1
      43: q+1
      45: q+1
      46: q^2+2q+1
      47: q^2+2q+1
      48: q^3+2q^2+2q+1
      49: q+1
      50: q+1
      51: q+1
      52: q+1
      53: q+1
      54: q+1
      55: q+1
      56: q^2+2q+1
      57: q+1
      58: q+1
      59: q^2+2q+1
      60: q^2+2q+1
      61: q+1
      62: q^2+2q+1
      63: q+1
      64: q+1
      66: q+1
      67: q^2+2q+1
      68: q+1
      69: q+1
      71: q^2+2q+1
      72: q^2+2q+1
      73: q^2+2q+1
      74: q+1
      75: q+1
      76: q^2+2q+1
      77: q+1
      79: 1
      80: 1
      81: q^2+2q+1
      82: q^2+2q+1
      84: q+1
      85: q+1
      86: q^2+2q+1
      87: q^2+2q+1
      88: q^3+2q^2+2q+1
      89: q+1
      90: q+1
      92: q+1
      93: q+1
      94: q+1
      95: q+1
      96: q+1
      97: q+1
      98: 1
      99: 1
     101: q+1
     102: q+1
     103: q^2+2q+1
     104: q+1
     105: q+1
     106: q^2+2q+1
     107: q+1
     108: q+1
     109: q^2+2q+1
     110: q^2+2q+1
     111: q+1
     112: q^2+2q+1
     113: q+1
     114: q+1
     116: q+1
     117: q+1
     118: q+1
     119: q+1
     121: q^2+2q+1
     122: q+1
     124: 1
     125: 1
     126: q^2+2q+1
     127: q+1
     129: 1
     130: 1
     131: q^2+2q+1
     132: q^2+2q+1
     134: q+1
     135: q+1
     137: q+1
     139: q+1
     140: 1
     141: q+1
     142: 1
     143: 1
     144: 1
     145: q+1
     147: q+1
     148: q+1
     149: q+1
     150: 1
     151: 1
     152: q+1
     153: q+1
     156: q+1
     157: q+1
     158: q^2+2q+1
     159: q+1
     160: q+1
     161: q^2+2q+1
     162: q+1
     163: q+1
     164: q+1
     165: q+1
     167: q+1
     168: 1
     170: 1
     172: q^2+2q+1
     173: q+1
     175: 1
     176: 1
     177: q^2+2q+1
     178: q^2+2q+1
     180: q+1
     181: q+1
     182: q^2+2q+1
     183: q+1
     185: 1
     186: 1
     189: q+1
     190: 1
     191: 1
     192: 1
     194: 1
     195: 1
     198: q+1
     199: 1
     200: 1
     201: 1
     202: q+1
     203: 1
     204: q+1
     207: q+1
     208: q+1
     209: q^2+2q+1
     211: q+1
     212: 1
     213: 1
     215: q+1
     216: q+1
     217: q+1
     218: q+1
     219: q+1
     220: 1
     222: 1
     224: q+1
     225: 1
     227: 1
     229: q^2+2q+1
     230: q+1
     232: 1
     233: 1
     234: q^2+2q+1
     235: q+1
     237: 1
     238: 1
     240: 1
     243: 1
     244: 1
     245: 1
     248: 1
     249: 1
     250: 1
     252: 1
     253: 1
     257: q+1
     258: 1
     259: 1
     261: q+1
     262: q+1
     265: 1
     266: 1
     267: 1
     268: q+1
     269: 1
     271: q+1
     272: q+1
     275: q+1
     277: 1
     278: 1
     279: q+1
     280: 1
     282: 1
     284: q^2+2q+1
     285: q+1
     287: 1
     288: 1
     289: q+1
     290: 1
     292: 1
     296: 1
     300: 1
     301: 1
     302: 1
     305: 1
     306: 1
     307: 1
     313: 1
     314: 1
     315: 1
     316: q+1
     317: 1
     319: q+1
     322: 1
     323: 1
     324: 1
     326: 1
     327: 1
     333: q+1
     335: 1
     336: 1
     337: q+1
     338: 1
     340: 1
     342: q+1
     343: 1
     345: 1
     350: 1
     351: 1
     353: 1
     356: 1
     363: 1
     364: 1
     365: 1
     367: 1
     368: 1
     373: 1
     376: 1
     377: 1
     378: 1
     386: q+1
     391: 1
     393: 1
     395: q+1
     396: 1
     398: 1
     406: 1
     408: 1
     418: 1
     421: 1
     422: 1
     423: 1
     429: 1
     439: 1
     444: 1
     446: 1
     456: 1
     469: 1
     485: 1
     490: 1
     529: 1

530:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q^3+2q^2+2q+1
       5: 1
       6: q+1
       7: q^3+2q^2+2q+1
       8: q^3+2q^2+2q+1
       9: 1
      10: 1
      11: q^2+q+1
      12: q+1
      13: q^3+2q^2+2q+1
      14: 1
      15: q^2+q+1
      16: 1
      17: 1
      18: 1
      19: 1
      21: 1
      22: 1
      23: q^2+q+1
      24: 1
      25: 1
      26: 1
      27: 1
      28: q^2+q+1
      29: 1
      31: q+1
      32: q+1
      33: q^3+2q^2+2q+1
      34: 1
      35: 1
      36: q+1
      37: q^3+2q^2+2q+1
      38: q+1
      39: 1
      40: 1
      41: q+1
      42: q+1
      43: 1
      44: q^3+2q^2+2q+1
      45: 1
      46: q+1
      47: q+1
      48: q+1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: q+1
      57: 1
      58: 1
      59: q+1
      60: q+1
      61: 1
      62: 1
      63: q^2+q+1
      64: 1
      66: 1
      67: 1
      68: q^2+q+1
      69: 1
      71: q+1
      72: q^3+2q^2+2q+1
      73: q+1
      74: 1
      75: 1
      76: q+1
      77: q+1
      78: q^3+2q^2+2q+1
      79: 1
      80: 1
      81: q+1
      82: q+1
      83: q+1
      84: 1
      85: 1
      86: q+1
      87: q+1
      88: q+1
      89: 1
      90: 1
      92: 1
      93: 1
      94: 1
      95: q+1
      96: 1
      97: 1
      98: 1
      99: 1
     100: q+1
     101: 1
     102: 1
     103: q+1
     104: 1
     105: 1
     106: q+1
     107: 1
     108: 1
     109: q+1
     110: q+1
     111: 1
     112: 1
     113: q^2+q+1
     114: 1
     116: 1
     117: q^2+q+1
     118: 1
     119: 1
     121: q+1
     122: q+1
     123: q^3+2q^2+2q+1
     124: 1
     125: 1
     126: q+1
     127: q+1
     128: q+1
     129: 1
     130: 1
     131: q+1
     132: q+1
     133: q+1
     134: 1
     135: 1
     137: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: 1
     144: 1
     145: q+1
     146: q+1
     147: 1
     148: 1
     149: q+1
     150: 1
     151: 1
     152: 1
     153: 1
     154: q+1
     155: q+1
     156: 1
     157: 1
     158: q+1
     159: 1
     160: 1
     161: q+1
     162: 1
     163: q^2+q+1
     164: 1
     165: 1
     167: 1
     168: 1
     169: q^2+q+1
     170: 1
     172: q+1
     173: q+1
     174: q+1
     175: 1
     176: 1
     179: q+1
     182: q+1
     183: q+1
     184: q+1
     185: 1
     186: 1
     189: 1
     190: 1
     191: 1
     192: 1
     194: 1
     195: 1
     196: 1
     197: q+1
     198: 1
     199: 1
     200: 1
     201: 1
     202: q+1
     203: 1
     204: 1
     205: q+1
     210: q+1
     211: q+1
     212: 1
     213: 1
     214: q+1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: q^2+q+1
     222: 1
     224: 1
     225: 1
     226: 1
     227: 1
     231: q+1
     234: q+1
     235: q+1
     236: q+1
     237: 1
     238: 1
     240: 1
     243: 1
     244: 1
     245: 1
     246: 1
     247: 1
     248: 1
     249: 1
     250: 1
     252: 1
     253: 1
     254: 1
     255: q+1
     263: q+1
     264: 1
     265: 1
     266: 1
     267: 1
     268: q+1
     269: 1
     270: q+1
     271: 1
     272: 1
     276: q+1
     279: 1
     280: 1
     281: 1
     282: 1
     286: q+1
     289: 1
     290: 1
     291: 1
     292: 1
     296: 1
     297: 1
     298: 1
     302: 1
     305: 1
     306: 1
     307: 1
     308: 1
     309: 1
     320: 1
     321: 1
     322: 1
     323: 1
     324: 1
     326: 1
     327: 1
     328: 1
     329: q+1
     334: q+1
     339: 1
     342: 1
     343: 1
     344: 1
     345: 1
     348: 1
     356: 1
     357: 1
     358: 1
     371: 1
     372: 1
     373: 1
     376: 1
     377: 1
     378: 1
     379: 1
     380: 1
     387: q+1
     392: 1
     397: 1
     412: 1
     426: 1
     429: 1
     430: 1
     431: 1
     440: 1
     445: 1
     475: 1
     486: 1
     491: 1
     530: 1

531:   0: q+1
       1: q+1
       3: q+1
       4: q+1
       5: 1
       6: q+1
       7: q+1
       9: 1
      10: 1
      11: 1
      12: q^2+2q+1
      14: 1
      15: 1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      21: 1
      22: 1
      23: 1
      24: q+1
      25: q+1
      26: 1
      27: 1
      28: 1
      29: q+1
      31: q+1
      32: q+1
      33: q+1
      34: q+1
      35: q+1
      38: q+1
      39: 1
      40: 1
      41: q+1
      42: q+1
      43: 1
      45: 1
      46: q+1
      47: q+1
      49: 1
      50: 1
      51: q+1
      52: 1
      53: 1
      54: 1
      55: 1
      56: q+1
      57: 1
      58: 1
      59: q+1
      61: 1
      62: 1
      63: 1
      64: q+1
      66: 1
      67: 1
      68: 1
      69: q+1
      73: q+1
      74: 1
      75: 1
      77: q+1
      79: 1
      80: 1
      81: q+1
      82: q+1
      84: 1
      85: 1
      86: q+1
      87: q+1
      89: 1
      90: 1
      92: 1
      93: 1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     101: 1
     102: 1
     104: 1
     105: 1
     106: q+1
     107: 1
     108: 1
     109: q+1
     111: 1
     112: 1
     113: 1
     114: q+1
     118: 1
     119: 1
     122: q+1
     124: 1
     125: 1
     127: q+1
     129: 1
     130: 1
     131: q+1
     132: q+1
     134: 1
     135: 1
     137: 1
     139: 1
     141: 1
     142: 1
     143: 1
     144: 1
     147: 1
     150: 1
     151: 1
     152: 1
     153: 1
     156: 1
     157: 1
     158: q+1
     159: 1
     160: 1
     164: 1
     165: 1
     168: 1
     170: 1
     173: q+1
     175: 1
     176: 1
     177: q+1
     178: q+1
     180: 1
     181: 1
     183: q+1
     185: 1
     186: 1
     189: 1
     192: 1
     194: 1
     200: 1
     201: 1
     203: 1
     204: 1
     207: 1
     208: 1
     209: q+1
     212: 1
     213: 1
     215: 1
     216: 1
     217: 1
     220: 1
     222: 1
     225: 1
     227: 1
     230: q+1
     232: 1
     233: 1
     235: q+1
     237: 1
     238: 1
     243: 1
     250: 1
     252: 1
     258: 1
     259: 1
     261: 1
     262: 1
     266: 1
     267: 1
     269: 1
     271: 1
     275: q+1
     277: 1
     278: 1
     280: 1
     282: 1
     285: q+1
     287: 1
     288: 1
     290: 1
     292: 1
     300: 1
     301: 1
     305: 1
     314: 1
     315: 1
     317: 1
     319: 1
     324: 1
     326: 1
     333: q+1
     335: 1
     336: 1
     338: 1
     340: 1
     343: 1
     345: 1
     350: 1
     351: 1
     353: 1
     365: 1
     367: 1
     376: 1
     388: 1
     389: 1
     391: 1
     393: 1
     396: 1
     398: 1
     401: 1
     406: 1
     408: 1
     421: 1
     441: 1
     444: 1
     446: 1
     456: 1
     487: 1
     492: 1
     531: 1

532:   5: 1
       9: 1
      10: 1
      11: 1
      14: 1
      15: 1
      16: 1
      17: 1
      18: 1
      19: 1
      20: q+1
      21: 1
      22: 1
      23: 1
      24: 1
      25: 1
      30: 1
      34: 1
      35: 1
      39: 1
      40: 1
      43: 1
      45: 1
      49: 1
      50: 1
      51: 1
      52: 1
      54: 1
      57: 1
      65: 1
      70: 1
      74: 1
      75: 1
      79: 1
      80: 1
      84: 1
      85: 1
      89: 1
      90: 1
      94: 1
      98: 1
     104: 1
     107: 1
     115: 1
     120: 1
     124: 1
     125: 1
     129: 1
     130: 1
     134: 1
     135: 1
     143: 1
     150: 1
     156: 1
     166: 1
     171: 1
     175: 1
     176: 1
     180: 1
     181: 1
     185: 1
     186: 1
     201: 1
     207: 1
     212: 1
     223: 1
     228: 1
     232: 1
     233: 1
     237: 1
     238: 1
     258: 1
     267: 1
     277: 1
     278: 1
     283: 1
     287: 1
     288: 1
     293: 1
     300: 1
     315: 1
     335: 1
     336: 1
     341: 1
     346: 1
     351: 1
     388: 1
     389: 1
     394: 1
     399: 1
     401: 1
     442: 1
     447: 1
     488: 1
     493: 1
     532: 1

533:   0: q+1
       1: q+1
       3: q+1
       4: q+1
       5: q^2+2q+1
       6: q+1
       7: q+1
       9: q^2+2q+1
      10: q^2+2q+1
      11: q^2+2q+1
      12: q^2+2q+1
      14: q^2+2q+1
      15: q^2+2q+1
      16: 3q+1
      17: 3q+1
      18: 3q+1
      19: 3q+1
      20: q^2+2q+1
      21: q^2+2q+1
      22: q^2+2q+1
      23: q^2+2q+1
      24: 3q+1
      25: 3q+1
      26: q+1
      27: q+1
      28: q+1
      29: 2q+1
      30: 2q+1
      31: q+1
      32: q+1
      33: q+1
      34: 3q+1
      35: 3q+1
      38: q+1
      39: 2q+1
      40: 2q+1
      41: q+1
      42: q+1
      43: q^2+2q+1
      45: q^2+2q+1
      46: q+1
      47: q+1
      49: q^2+2q+1
      50: q^2+2q+1
      51: 3q+1
      52: 2q+1
      53: q+1
      54: q^2+2q+1
      55: q+1
      56: q+1
      57: q^2+2q+1
      58: q+1
      59: q+1
      61: q+1
      62: q+1
      63: q+1
      64: 2q+1
      65: 2q+1
      66: q+1
      67: q+1
      68: q+1
      69: 2q+1
      70: 2q+1
      73: q+1
      74: 2q+1
      75: 2q+1
      77: q+1
      79: 2q+1
      80: 2q+1
      81: q+1
      82: q+1
      84: q^2+2q+1
      85: q^2+2q+1
      86: q+1
      87: q+1
      89: q^2+2q+1
      90: q^2+2q+1
      91: q+1
      92: q+1
      93: q+1
      94: 2q+1
      96: q+1
      97: q+1
      98: 2q+1
      99: q+1
     101: q+1
     102: q+1
     104: q^2+2q+1
     105: q+1
     106: q+1
     107: q^2+2q+1
     108: q+1
     109: q+1
     111: q+1
     112: q+1
     113: q+1
     114: 2q+1
     115: 2q+1
     118: 1
     119: 1
     120: q+1
     122: q+1
     124: 2q+1
     125: 2q+1
     127: q+1
     129: 2q+1
     130: 2q+1
     131: q+1
     132: q+1
     134: q^2+2q+1
     135: q^2+2q+1
     136: q+1
     137: q+1
     138: 1
     139: 1
     141: q+1
     142: q+1
     143: 2q+1
     144: q+1
     147: q+1
     150: 2q+1
     151: q+1
     152: q+1
     153: q+1
     156: q^2+2q+1
     157: q+1
     158: q+1
     159: q+1
     160: q+1
     164: 1
     165: 1
     166: q+1
     168: 1
     170: 1
     171: q+1
     173: q+1
     175: 2q+1
     176: 2q+1
     177: q+1
     178: q+1
     180: q^2+2q+1
     181: q^2+2q+1
     183: q+1
     185: 2q+1
     186: 2q+1
     187: 1
     188: 1
     189: 1
     192: q+1
     193: 1
     194: 1
     200: q+1
     201: 2q+1
     203: q+1
     204: q+1
     207: q^2+2q+1
     208: q+1
     209: q+1
     212: 2q+1
     213: q+1
     215: q+1
     216: q+1
     217: q+1
     220: 1
     222: 1
     223: q+1
     225: 1
     227: 1
     228: q+1
     230: q+1
     232: 2q+1
     233: 2q+1
     235: q+1
     237: 2q+1
     238: 2q+1
     239: 1
     241: 1
     242: 1
     243: 1
     250: q+1
     251: 1
     252: 1
     258: 2q+1
     259: q+1
     261: q+1
     262: q+1
     266: q+1
     267: 2q+1
     269: q+1
     271: q+1
     275: q+1
     277: 2q+1
     278: 2q+1
     280: 1
     282: 1
     283: q+1
     285: q+1
     287: 2q+1
     288: 2q+1
     290: 1
     292: 1
     293: q+1
     295: 1
     300: 2q+1
     301: q+1
     303: 1
     304: 1
     305: 1
     314: q+1
     315: 2q+1
     317: q+1
     319: q+1
     324: q+1
     325: 1
     326: 1
     333: q+1
     335: 2q+1
     336: 2q+1
     338: 1
     340: 1
     341: q+1
     343: 1
     345: 1
     346: q+1
     350: q+1
     351: 2q+1
     353: q+1
     355: 1
     365: q+1
     366: 1
     367: 1
     374: 1
     375: 1
     376: 1
     388: q+1
     389: q+1
     391: 1
     393: 1
     394: q+1
     396: 1
     398: 1
     399: q+1
     401: q+1
     406: q+1
     407: 1
     408: 1
     419: 1
     420: 1
     421: 1
     428: 1
     441: 1
     442: 1
     444: 1
     446: 1
     447: q+1
     449: 1
     454: 1
     455: 1
     456: 1
     468: 1
     487: 1
     488: 1
     492: 1
     493: 1
     494: 1
     497: 1
     504: 1
     531: 1
     532: 1
     533: 1

534:   0: 1
       1: 1
       2: 1
       3: q+1
       4: 1
       5: 1
       6: q+1
       7: 1
       8: 1
       9: q^3+q^2+1
      10: q+1
      11: 1
      12: q+1
      14: q^2+1
      15: q^3+q^2+1
      16: q+1
      17: q^2+1
      18: q+1
      19: q^2+1
      20: q^2+1
      21: 1
      22: 1
      23: 1
      24: 1
      25: 1
      26: 1
      27: q+1
      28: 1
      29: q+1
      30: q^2+1
      31: 1
      32: q+1
      33: 1
      34: q+1
      35: q^2+1
      36: 1
      37: 1
      38: q+1
      39: q+1
      40: q^2+1
      41: 1
      42: 1
      43: 1
      45: q^2+1
      46: 1
      47: 1
      48: 1
      49: 1
      50: q^3+q^2+1
      51: 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
      66: 1
      67: q+1
      68: 1
      69: q+1
      70: q^2+1
      71: 1
      72: 1
      73: q+1
      74: q+1
      75: q^2+1
      76: 1
      77: 1
      79: 1
      80: q^2+1
      81: 1
      82: 1
      84: 1
      85: q^2+1
      86: 1
      87: 1
      88: 1
      89: 1
      90: q^3+q^2+1
      91: 1
      92: q+1
      93: 1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 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+1
     120: q^2+1
     121: 1
     122: 1
     124: 1
     125: q^2+1
     126: 1
     127: 1
     129: 1
     130: q^2+1
     131: 1
     132: 1
     134: 1
     135: q^2+1
     136: 1
     137: 1
     138: 1
     139: q+1
     140: 1
     141: 1
     142: 1
     143: 1
     144: 1
     145: 1
     147: 1
     148: 1
     149: 1
     150: 1
     151: 1
     152: 1
     153: 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
     170: 1
     171: q^2+1
     172: 1
     173: 1
     175: 1
     176: q^2+1
     177: 1
     178: 1
     180: 1
     181: q^2+1
     182: 1
     183: 1
     185: 1
     186: q^2+1
     187: 1
     188: 1
     189: 1
     190: 1
     191: 1
     192: 1
     193: 1
     194: 1
     195: 1
     198: 1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     207: 1
     208: 1
     209: 1
     211: 1
     212: 1
     213: 1
     215: 1
     216: 1
     217: 1
     218: 1
     224: 1
     225: 1
     227: 1
     228: q^2+1
     229: 1
     230: 1
     232: 1
     233: q^2+1
     234: 1
     235: 1
     237: 1
     238: q^2+1
     239: 1
     240: 1
     241: 1
     245: 1
     248: 1
     249: 1
     250: 1
     251: 1
     252: 1
     253: 1
     257: 1
     258: 1
     259: 1
     261: 1
     262: 1
     265: 1
     266: 1
     267: 1
     268: 1
     269: 1
     271: 1
     272: 1
     275: 1
     277: 1
     278: 1
     284: 1
     285: 1
     287: 1
     288: q^2+1
     289: 1
     290: 1
     292: 1
     293: q^2+1
     294: 1
     300: 1
     301: 1
     302: 1
     303: 1
     307: 1
     313: 1
     314: 1
     315: 1
     316: 1
     317: 1
     319: 1
     322: 1
     323: 1
     324: 1
     325: 1
     326: 1
     327: 1
     333: 1
     335: 1
     336: 1
     337: 1
     338: 1
     340: 1
     341: q^2+1
     350: 1
     351: 1
     353: 1
     354: 1
     363: 1
     364: 1
     365: 1
     366: 1
     367: 1
     368: 1
     373: 1
     374: 1
     378: 1
     386: 1
     388: 1
     389: 1
     391: 1
     393: 1
     394: 1
     400: 1
     401: 1
     406: 1
     407: 1
     408: 1
     418: 1
     419: 1
     423: 1
     427: 1
     439: 1
     441: 1
     442: 1
     448: 1
     449: 1
     450: 1
     454: 1
     467: 1
     485: 1
     487: 1
     488: 1
     494: 1
     495: 1
     496: 1
     534: 1

535:   0: q+1
       1: q+1
       2: q+1
       3: q^2+2q+1
       4: q+1
       5: 1
       6: q^2+2q+1
       7: q+1
       8: q+1
       9: 1
      10: q+1
      11: 1
      12: q^2+2q+1
      14: q+1
      15: 1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      21: 1
      22: q+1
      23: 1
      24: q+1
      25: q+1
      26: 1
      27: q+1
      28: 1
      29: q+1
      31: q+1
      32: q^2+2q+1
      33: q+1
      34: q+1
      35: q+1
      36: q+1
      37: q+1
      38: q^2+2q+1
      39: q+1
      40: q+1
      41: q+1
      42: q+1
      43: 1
      45: 1
      46: q+1
      47: q+1
      48: q+1
      49: 1
      50: 1
      51: q+1
      52: q+1
      53: q+1
      54: 1
      55: 1
      56: q+1
      57: 1
      58: 1
      59: q+1
      60: q+1
      61: 1
      62: q+1
      63: 1
      64: q+1
      66: 1
      67: q+1
      68: 1
      69: q+1
      71: q+1
      72: q+1
      73: q^2+2q+1
      74: q+1
      75: q+1
      76: q+1
      77: q+1
      79: 1
      80: 1
      81: q+1
      82: q+1
      84: 1
      85: 1
      86: q+1
      87: q+1
      88: q+1
      89: 1
      90: 1
      92: q+1
      93: q+1
      94: q+1
      95: q+1
      96: 1
      97: 1
      98: 1
      99: 1
     101: 1
     102: 1
     103: q+1
     104: 1
     105: 1
     106: q+1
     107: 1
     108: 1
     109: q+1
     110: q+1
     111: 1
     112: q+1
     113: 1
     114: q+1
     116: 1
     117: 1
     118: q+1
     119: q+1
     121: q+1
     122: q+1
     124: 1
     125: 1
     126: q+1
     127: q+1
     129: 1
     130: 1
     131: q+1
     132: q+1
     134: 1
     135: 1
     137: q+1
     139: q+1
     140: 1
     141: 1
     142: 1
     143: 1
     144: 1
     145: q+1
     147: 1
     148: 1
     149: q+1
     150: 1
     151: 1
     152: 1
     153: 1
     156: 1
     157: 1
     158: q+1
     159: 1
     160: 1
     161: q+1
     162: 1
     163: 1
     164: q+1
     165: q+1
     167: 1
     168: 1
     170: 1
     172: q+1
     173: q+1
     175: 1
     176: 1
     177: q+1
     178: q+1
     180: 1
     181: 1
     182: q+1
     183: q+1
     185: 1
     186: 1
     189: q+1
     190: 1
     191: 1
     192: 1
     194: 1
     195: 1
     198: 1
     199: 1
     200: 1
     201: 1
     202: q+1
     203: 1
     204: 1
     207: 1
     208: 1
     209: q+1
     211: q+1
     212: 1
     213: 1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     222: 1
     224: 1
     225: 1
     227: 1
     229: q+1
     230: q+1
     232: 1
     233: 1
     234: q+1
     235: q+1
     237: 1
     238: 1
     240: 1
     243: 1
     244: 1
     245: 1
     248: 1
     249: 1
     250: 1
     252: 1
     253: 1
     257: q+1
     258: 1
     259: 1
     261: 1
     262: 1
     265: 1
     266: 1
     267: 1
     268: q+1
     269: 1
     271: 1
     272: 1
     275: q+1
     277: 1
     278: 1
     279: 1
     280: 1
     282: 1
     284: q+1
     285: q+1
     287: 1
     288: 1
     289: 1
     290: 1
     292: 1
     296: 1
     300: 1
     301: 1
     302: 1
     305: 1
     306: 1
     307: 1
     313: 1
     314: 1
     315: 1
     316: q+1
     317: 1
     319: 1
     322: 1
     323: 1
     324: 1
     326: 1
     327: 1
     333: q+1
     335: 1
     336: 1
     337: 1
     338: 1
     340: 1
     342: 1
     343: 1
     345: 1
     350: 1
     351: 1
     353: 1
     356: 1
     363: 1
     364: 1
     365: 1
     367: 1
     368: 1
     373: 1
     376: 1
     377: 1
     378: 1
     386: q+1
     388: 1
     389: 1
     391: 1
     393: 1
     395: 1
     396: 1
     398: 1
     400: 1
     401: 1
     406: 1
     408: 1
     418: 1
     421: 1
     422: 1
     423: 1
     429: 1
     439: 1
     441: 1
     444: 1
     446: 1
     448: 1
     450: 1
     456: 1
     469: 1
     485: 1
     487: 1
     490: 1
     492: 1
     495: 1
     498: 1
     529: 1
     531: 1
     535: 1

536:   0: q+1
       1: q^2+2q+1
       2: q+1
       3: q^2+2q+1
       4: q+1
       5: q^2+2q+1
       6: 3q+1
       7: q^2+2q+1
       8: q+1
       9: q^2+2q+1
      10: 3q+1
      11: q^2+2q+1
      12: 3q+1
      14: 3q+1
      15: q^2+2q+1
      16: 3q+1
      17: 3q+1
      18: q^2+2q+1
      19: q^2+2q+1
      20: q^2+2q+1
      21: q^2+2q+1
      22: 3q+1
      23: q^2+2q+1
      24: 3q+1
      25: q^2+2q+1
      26: q^2+2q+1
      27: 3q+1
      28: q^2+2q+1
      29: 3q+1
      30: q^2+2q+1
      31: q+1
      32: 2q+1
      33: q+1
      34: 2q+1
      35: 2q+1
      36: q+1
      37: q+1
      38: 3q+1
      39: 3q+1
      40: 3q+1
      41: q+1
      42: 2q+1
      43: 2q+1
      45: 2q+1
      46: q+1
      47: q^2+2q+1
      48: q+1
      49: q^2+2q+1
      50: q^2+2q+1
      51: 2q+1
      52: 3q+1
      53: 3q+1
      54: 2q+1
      55: 2q+1
      56: q+1
      57: q^2+2q+1
      58: q^2+2q+1
      59: q+1
      60: q+1
      61: q^2+2q+1
      62: 3q+1
      63: q^2+2q+1
      64: 3q+1
      65: q^2+2q+1
      66: q+1
      67: 2q+1
      68: q+1
      69: 2q+1
      70: 2q+1
      71: q+1
      72: q+1
      73: 2q+1
      74: 2q+1
      75: 2q+1
      76: q+1
      77: 2q+1
      79: 2q+1
      80: 2q+1
      81: q+1
      82: 2q+1
      84: 2q+1
      85: 2q+1
      86: q+1
      87: q^2+2q+1
      88: q+1
      89: q^2+2q+1
      90: q^2+2q+1
      91: 2q+1
      92: q+1
      93: 3q+1
      94: 2q+1
      95: q+1
      96: 2q+1
      97: q+1
      98: 2q+1
      99: 2q+1
     101: q^2+2q+1
     102: q+1
     103: q+1
     104: 2q+1
     105: 2q+1
     106: q+1
     107: q^2+2q+1
     108: q^2+2q+1
     109: q+1
     110: q+1
     111: q+1
     112: 2q+1
     113: q+1
     114: 2q+1
     115: 2q+1
     116: q+1
     117: q+1
     118: 2q+1
     119: 2q+1
     120: 2q+1
     121: 1
     122: 1
     124: q+1
     125: q+1
     126: q+1
     127: 2q+1
     129: 2q+1
     130: 2q+1
     131: q+1
     132: 2q+1
     134: 2q+1
     135: 2q+1
     136: 2q+1
     137: q+1
     138: 2q+1
     139: q+1
     140: q+1
     141: q+1
     142: 1
     143: q+1
     144: 2q+1
     145: 1
     147: q+1
     148: q+1
     149: q+1
     150: 2q+1
     151: 2q+1
     152: 2q+1
     153: q+1
     156: 2q+1
     157: 2q+1
     158: q+1
     159: q^2+2q+1
     160: q+1
     161: q+1
     162: q+1
     163: q+1
     164: 2q+1
     165: 2q+1
     166: 2q+1
     167: 1
     168: 1
     170: q+1
     171: q+1
     172: 1
     173: 1
     175: q+1
     176: q+1
     177: q+1
     178: 2q+1
     180: 2q+1
     181: 2q+1
     182: q+1
     183: 2q+1
     185: 2q+1
     186: 2q+1
     187: q+1
     188: 2q+1
     189: q+1
     190: q+1
     191: 1
     192: 1
     193: q+1
     194: 1
     195: 1
     198: q+1
     199: q+1
     200: 1
     201: q+1
     202: 1
     203: 2q+1
     204: q+1
     207: 2q+1
     208: 2q+1
     209: q+1
     211: q+1
     212: 2q+1
     213: 2q+1
     215: 2q+1
     216: q+1
     217: q+1
     218: q+1
     219: 1
     220: 1
     222: q+1
     223: q+1
     224: 1
     225: 1
     227: q+1
     228: q+1
     229: q+1
     230: 2q+1
     232: 2q+1
     233: 2q+1
     234: 1
     235: 1
     237: q+1
     238: q+1
     239: q+1
     240: 1
     241: 1
     242: q+1
     243: 1
     244: 1
     245: 1
     248: 1
     249: q+1
     250: 1
     251: q+1
     252: 1
     253: 1
     257: q+1
     258: 2q+1
     259: 2q+1
     261: 2q+1
     262: q+1
     265: q+1
     266: 1
     267: q+1
     268: 1
     269: 2q+1
     271: q+1
     272: q+1
     275: q+1
     277: q+1
     278: q+1
     279: 1
     280: 1
     282: q+1
     283: q+1
     284: 1
     285: 1
     287: q+1
     288: q+1
     289: 1
     290: 1
     292: q+1
     293: q+1
     294: 1
     295: 1
     296: 1
     300: q+1
     301: q+1
     302: 1
     303: 1
     304: q+1
     305: 1
     306: 1
     307: 1
     313: q+1
     314: 1
     315: q+1
     316: 1
     317: 2q+1
     319: q+1
     322: 1
     323: q+1
     324: 1
     325: q+1
     326: 1
     327: 1
     333: 1
     335: 1
     336: 1
     337: 1
     338: 1
     340: q+1
     341: q+1
     342: 1
     343: 1
     345: q+1
     346: q+1
     347: 1
     350: 1
     351: 1
     353: q+1
     354: 1
     355: 1
     356: 1
     363: 1
     364: q+1
     365: 1
     366: q+1
     367: 1
     368: 1
     373: 1
     374: 1
     375: q+1
     376: 1
     377: 1
     378: 1
     386: 1
     388: 1
     389: 1
     391: 1
     393: 1
     394: 1
     395: 1
     396: 1
     398: q+1
     399: q+1
     400: 1
     401: 1
     406: 1
     407: 1
     408: 1
     411: 1
     418: 1
     419: 1
     420: q+1
     421: 1
     422: 1
     423: 1
     427: 1
     428: 1
     429: 1
     439: 1
     441: 1
     442: 1
     444: 1
     446: 1
     447: 1
     448: 1
     449: 1
     450: 1
     454: 1
     455: 1
     456: 1
     467: 1
     468: 1
     469: 1
     474: 1
     490: 1
     492: 1
     493: 1
     496: 1
     497: 1
     498: 1
     504: 1
     514: 1
     536: 1

537:   0: q^3+3q^2+3q+1
       1: q^3+3q^2+3q+1
       2: q^4+3q^3+4q^2+3q+1
       3: q^3+3q^2+3q+1
       4: q^2+2q+1
       5: q^2+2q+1
       6: q^3+3q^2+3q+1
       7: q^2+2q+1
       8: q^3+2q^2+2q+1
       9: q^2+2q+1
      10: q^2+2q+1
      11: q+1
      12: q^2+2q+1
      13: q^3+2q^2+2q+1
      14: q^2+2q+1
      15: q+1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      21: q^2+2q+1
      22: q^2+2q+1
      23: q+1
      24: q+1
      25: q+1
      26: q^2+2q+1
      27: q^2+2q+1
      28: q+1
      29: q+1
      31: q^3+3q^2+3q+1
      32: q^3+3q^2+3q+1
      33: q^2+2q+1
      34: q+1
      35: q+1
      36: q^3+3q^2+3q+1
      37: q^2+2q+1
      38: q^2+2q+1
      39: q+1
      40: q+1
      41: q^3+3q^2+3q+1
      42: q^3+3q^2+3q+1
      43: q^2+2q+1
      44: q^3+2q^2+2q+1
      45: q^2+2q+1
      46: q^2+2q+1
      47: q^2+2q+1
      48: q^3+2q^2+2q+1
      49: q+1
      50: q+1
      51: q+1
      52: q+1
      53: q+1
      54: q^2+2q+1
      55: q^2+2q+1
      56: q^3+3q^2+3q+1
      57: q+1
      58: q+1
      59: q^2+2q+1
      60: q^2+2q+1
      61: q^2+2q+1
      62: q^2+2q+1
      63: q+1
      64: q+1
      66: q^2+2q+1
      67: q^2+2q+1
      68: q+1
      69: q+1
      71: q^3+3q^2+3q+1
      72: q^2+2q+1
      73: q^2+2q+1
      74: q+1
      75: q+1
      76: q^3+3q^2+3q+1
      77: q^2+2q+1
      78: q^2+2q+1
      79: q+1
      80: q+1
      81: q^2+2q+1
      82: q^2+2q+1
      83: q^3+2q^2+2q+1
      84: q+1
      85: q+1
      86: q^2+2q+1
      87: q^2+2q+1
      88: q^3+2q^2+2q+1
      89: q+1
      90: q+1
      92: q+1
      93: q+1
      94: q+1
      95: q^2+2q+1
      96: q^2+2q+1
      97: q^2+2q+1
      98: q+1
      99: q+1
     100: q^2+2q+1
     101: q+1
     102: q+1
     103: q^2+2q+1
     104: q+1
     105: q+1
     106: q^2+2q+1
     107: q+1
     108: q+1
     109: q^2+2q+1
     110: q^2+2q+1
     111: q^2+2q+1
     112: q^2+2q+1
     113: q+1
     114: q+1
     116: q^2+2q+1
     117: q+1
     118: q+1
     119: q+1
     121: q^3+3q^2+3q+1
     122: q^2+2q+1
     123: q^2+2q+1
     124: q+1
     125: q+1
     126: q^2+2q+1
     127: q+1
     128: q^2+2q+1
     129: 1
     130: 1
     131: q^2+2q+1
     132: q^2+2q+1
     133: q^3+2q^2+2q+1
     134: q+1
     135: q+1
     137: q+1
     139: q+1
     140: q+1
     141: q^2+2q+1
     142: q+1
     143: q+1
     144: q+1
     145: q^2+2q+1
     146: q^2+2q+1
     147: q+1
     148: q+1
     149: q+1
     150: 1
     151: 1
     152: q+1
     153: q+1
     154: q^2+2q+1
     155: q^2+2q+1
     156: q+1
     157: q+1
     158: q^2+2q+1
     159: q+1
     160: q+1
     161: q^2+2q+1
     162: q^2+2q+1
     163: q+1
     164: q+1
     165: q+1
     167: q^2+2q+1
     168: q+1
     169: q+1
     170: q+1
     172: q^2+2q+1
     173: q+1
     174: q^2+2q+1
     175: 1
     176: 1
     177: q^2+2q+1
     178: q^2+2q+1
     180: q+1
     181: q+1
     182: q^2+2q+1
     183: q+1
     184: q^2+2q+1
     185: 1
     186: 1
     189: q+1
     190: q+1
     191: q+1
     192: q+1
     194: q+1
     195: q+1
     196: q+1
     197: q+1
     198: q+1
     199: 1
     200: 1
     201: 1
     202: q+1
     203: 1
     204: q+1
     205: q^2+2q+1
     207: q+1
     208: q+1
     209: q^2+2q+1
     210: q^2+2q+1
     211: q+1
     212: 1
     213: 1
     214: q^2+2q+1
     215: q+1
     216: q+1
     217: q+1
     218: q+1
     219: q^2+2q+1
     220: q+1
     221: q+1
     222: q+1
     224: q+1
     225: 1
     226: q+1
     227: 1
     229: q^2+2q+1
     230: q+1
     232: 1
     233: 1
     234: q^2+2q+1
     235: q+1
     236: q^2+2q+1
     237: 1
     238: 1
     240: q+1
     243: q+1
     244: q+1
     245: q+1
     246: q+1
     247: 1
     248: 1
     249: 1
     250: 1
     252: 1
     253: 1
     254: q+1
     255: q+1
     257: q+1
     258: 1
     259: 1
     261: q+1
     262: q+1
     263: q+1
     264: q+1
     265: 1
     266: 1
     267: 1
     268: q+1
     269: 1
     270: q^2+2q+1
     271: q+1
     272: q+1
     274: q^2+2q+1
     275: q+1
     277: 1
     278: 1
     279: q+1
     280: 1
     281: q+1
     282: 1
     284: q^2+2q+1
     285: q+1
     287: 1
     288: 1
     289: q+1
     290: 1
     291: q+1
     292: 1
     296: q+1
     297: 1
     298: 1
     299: q+1
     300: 1
     301: 1
     302: 1
     305: 1
     306: 1
     307: 1
     308: q+1
     309: 1
     313: 1
     314: 1
     315: 1
     316: q+1
     317: 1
     319: q+1
     320: 1
     321: q+1
     322: 1
     323: 1
     324: 1
     326: 1
     327: 1
     328: q+1
     329: q+1
     332: q^2+2q+1
     333: q+1
     335: 1
     336: 1
     337: q+1
     338: 1
     340: 1
     342: q+1
     343: 1
     344: q+1
     345: 1
     348: 1
     349: 1
     350: 1
     351: 1
     352: q+1
     353: 1
     356: 1
     357: 1
     358: 1
     363: 1
     364: 1
     365: 1
     367: 1
     368: 1
     371: 1
     372: 1
     373: 1
     376: 1
     377: 1
     378: 1
     379: q+1
     380: 1
     385: q+1
     386: q+1
     390: q+1
     391: 1
     393: 1
     395: q+1
     396: 1
     398: 1
     402: q+1
     404: 1
     405: 1
     406: 1
     408: 1
     409: 1
     412: 1
     418: 1
     421: 1
     422: 1
     423: 1
     426: 1
     429: 1
     430: 1
     431: 1
     438: 1
     439: 1
     443: q+1
     444: 1
     446: 1
     452: 1
     453: 1
     456: 1
     457: 1
     458: 1
     469: 1
     475: 1
     484: 1
     485: 1
     489: 1
     490: 1
     499: 1
     501: 1
     505: 1
     528: 1
     529: 1
     537: 1

538:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: 1
       5: q+1
       6: q+1
       7: 1
       8: 1
      10: q+1
      11: 1
      12: q+1
      13: 1
      16: q+1
      18: q+1
      26: q+1
      27: q+1
      28: 1
      29: q+1
      31: q+1
      32: q+1
      33: 1
      34: q+1
      36: q+1
      37: 1
      38: q+1
      39: q+1
      41: q+1
      42: q+1
      43: q+1
      44: 1
      46: 1
      47: 1
      48: 1
      49: 1
      53: q+1
      55: q+1
      56: q+1
      58: 1
      59: 1
      60: 1
      66: q+1
      67: q+1
      68: 1
      69: q+1
      71: q+1
      72: 1
      73: q+1
      74: q+1
      76: q+1
      77: q+1
      78: 1
      79: q+1
      81: 1
      82: 1
      83: 1
      84: 1
      86: 1
      87: 1
      88: 1
      89: 1
      92: q+1
      95: q+1
      97: q+1
      99: q+1
     100: 1
     102: 1
     103: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: 1
     116: q+1
     117: 1
     118: q+1
     119: q+1
     121: q+1
     122: q+1
     123: 1
     124: q+1
     126: 1
     127: 1
     128: 1
     129: 1
     131: 1
     132: 1
     133: 1
     134: 1
     139: q+1
     140: q+1
     142: q+1
     145: q+1
     146: 1
     148: 1
     149: 1
     151: 1
     153: 1
     154: 1
     155: 1
     157: 1
     158: 1
     160: 1
     161: 1
     167: q+1
     168: q+1
     169: 1
     170: q+1
     172: 1
     173: 1
     174: 1
     175: 1
     177: 1
     178: 1
     180: 1
     182: 1
     183: 1
     184: 1
     185: 1
     191: q+1
     194: q+1
     195: q+1
     196: 1
     197: 1
     199: 1
     200: 1
     202: 1
     205: 1
     208: 1
     209: 1
     210: 1
     211: 1
     213: 1
     214: 1
     216: 1
     218: 1
     224: 1
     225: 1
     226: 1
     227: 1
     229: 1
     230: 1
     232: 1
     234: 1
     235: 1
     236: 1
     237: 1
     245: q+1
     247: 1
     248: 1
     252: 1
     253: 1
     254: 1
     255: 1
     257: 1
     259: 1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     268: 1
     270: 1
     274: 1
     275: 1
     277: 1
     284: 1
     285: 1
     287: 1
     289: 1
     290: 1
     291: 1
     292: 1
     297: 1
     299: 1
     301: 1
     307: 1
     309: 1
     313: 1
     314: 1
     316: 1
     320: 1
     322: 1
     326: 1
     327: 1
     328: 1
     329: 1
     332: 1
     333: 1
     335: 1
     337: 1
     338: 1
     340: 1
     349: 1
     350: 1
     352: 1
     357: 1
     363: 1
     367: 1
     368: 1
     371: 1
     378: 1
     380: 1
     385: 1
     386: 1
     388: 1
     390: 1
     391: 1
     393: 1
     400: 1
     402: 1
     404: 1
     408: 1
     409: 1
     423: 1
     430: 1
     438: 1
     439: 1
     441: 1
     450: 1
     451: 1
     452: 1
     458: 1
     484: 1
     485: 1
     487: 1
     495: 1
     499: 1
     502: 1
     538: 1

539:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q+1
       5: q^2+2q+1
       6: q^2+2q+1
       7: q^3+q^2+q+1
       8: q+1
       9: q^3+q^2+q+1
      10: q^2+2q+1
      11: q^3+q^2+q+1
      12: q^2+2q+1
      13: q+1
      14: q^3+q^2+q+1
      15: q^4+2q^3+q^2+q+1
      16: q^2+2q+1
      17: q^3+q^2+q+1
      18: q^3+q^2+q+1
      19: q^2+1
      20: q^2+1
      21: q^2+q+1
      22: q^2+q+1
      23: q^3+q^2+q+1
      24: q^2+q+1
      25: q^2+1
      26: q^2+2q+1
      27: q^2+2q+1
      28: q^3+q^2+q+1
      29: q^2+2q+1
      30: q^2+1
      31: 2q+1
      32: 2q+1
      33: q+1
      34: q^2+q+1
      35: q^2+1
      36: q^2+2q+1
      37: q+1
      38: q^2+2q+1
      39: q^2+2q+1
      40: q^3+q^2+q+1
      41: q^2+2q+1
      42: q^2+2q+1
      43: q^2+2q+1
      44: q+1
      45: q^3+q^2+q+1
      46: q+1
      47: q^2+q+1
      48: q+1
      49: q^2+q+1
      50: q^3+q^2+q+1
      51: q^2+1
      52: q^2+q+1
      53: q^2+2q+1
      54: q^2+q+1
      55: q^2+2q+1
      56: 2q+1
      57: q^2+q+1
      58: q^2+q+1
      59: q+1
      60: q+1
      61: q^2+q+1
      62: q^2+q+1
      63: q^3+q^2+q+1
      64: q^2+q+1
      65: q^2+1
      66: 2q+1
      67: 2q+1
      68: q+1
      69: q^2+q+1
      70: q^2+1
      71: 2q+1
      72: q+1
      73: 2q+1
      74: q^2+q+1
      75: q^2+1
      76: q^2+2q+1
      77: q^2+2q+1
      78: q+1
      79: q^2+2q+1
      80: q^3+q^2+q+1
      81: q+1
      82: q^2+q+1
      83: q+1
      84: q^2+q+1
      85: q^3+q^2+q+1
      86: q+1
      87: q^2+q+1
      88: q+1
      89: q^2+q+1
      90: q^3+q^2+q+1
      91: q^2+1
      92: q+1
      93: q^2+q+1
      94: q^2+1
      95: 2q+1
      96: q^2+q+1
      97: 2q+1
      98: q^2+q+1
      99: q^2+2q+1
     100: q+1
     101: q^2+q+1
     102: q+1
     103: q+1
     104: q^2+q+1
     105: q^2+q+1
     106: q+1
     107: q^2+q+1
     108: q^2+q+1
     109: q+1
     110: q+1
     111: q+1
     112: q+1
     113: q+1
     114: 1
     115: 1
     116: 2q+1
     117: q+1
     118: 2q+1
     119: q^2+q+1
     120: q^2+1
     121: 2q+1
     122: 2q+1
     123: q+1
     124: q^2+q+1
     125: q^2+1
     126: q+1
     127: q^2+q+1
     128: q+1
     129: q^2+q+1
     130: q^3+q^2+q+1
     131: q+1
     132: q^2+q+1
     133: q+1
     134: q^2+q+1
     135: q^3+q^2+q+1
     136: 1
     137: 1
     138: q^2+1
     139: q+1
     140: 2q+1
     141: q+1
     142: q+1
     143: q^2+1
     144: q^2+q+1
     145: 2q+1
     146: q+1
     147: q+1
     148: q+1
     149: q+1
     150: q^2+q+1
     151: q^2+q+1
     152: q^2+q+1
     153: q+1
     154: q+1
     155: q+1
     156: q^2+q+1
     157: q^2+q+1
     158: q+1
     159: q^2+q+1
     160: q+1
     161: q+1
     162: q+1
     163: q+1
     164: q+1
     165: 1
     166: 1
     167: 2q+1
     168: 2q+1
     169: q+1
     170: q^2+q+1
     171: q^2+1
     172: 1
     173: 1
     174: 1
     175: q^2+1
     176: q^2+1
     177: q+1
     178: q+1
     180: q+1
     181: q+1
     182: q+1
     183: q^2+q+1
     184: q+1
     185: q^2+q+1
     186: q^3+q^2+q+1
     187: 1
     188: 1
     189: 1
     190: q+1
     191: q+1
     192: 1
     193: q^2+1
     194: q+1
     195: 2q+1
     196: q+1
     197: q+1
     198: q+1
     199: q+1
     200: 1
     201: q^2+1
     202: 1
     203: q^2+q+1
     204: q+1
     205: 1
     207: q+1
     208: q+1
     209: q+1
     210: q+1
     211: q+1
     212: q^2+q+1
     213: q^2+q+1
     214: q+1
     215: q^2+q+1
     216: q+1
     217: q+1
     218: q+1
     219: q+1
     220: q+1
     221: q+1
     222: 1
     223: 1
     224: 1
     225: 1
     226: 1
     227: q^2+1
     228: q^2+1
     229: q+1
     230: q+1
     232: q+1
     233: q+1
     234: 1
     235: 1
     236: 1
     237: q^2+1
     238: q^2+1
     239: 1
     240: 1
     241: 1
     242: 1
     243: 1
     244: q+1
     245: q+1
     246: q+1
     247: q+1
     248: 1
     249: q+1
     250: 1
     251: q^2+1
     252: 1
     253: 1
     254: 1
     255: 1
     257: q+1
     258: q+1
     259: q+1
     261: q+1
     262: q+1
     263: q+1
     264: q+1
     265: q+1
     266: 1
     267: q^2+1
     268: 1
     269: q^2+q+1
     270: 1
     271: q+1
     272: q+1
     274: q+1
     275: q+1
     277: q+1
     278: q+1
     284: 1
     285: 1
     287: 1
     288: 1
     289: 1
     290: 1
     291: 1
     292: q^2+1
     293: q^2+1
     294: 1
     295: 1
     296: 1
     297: 1
     298: q+1
     299: q+1
     300: q+1
     301: q+1
     302: 1
     303: 1
     307: 1
     309: 1
     313: q+1
     314: 1
     315: 1
     316: 1
     317: q+1
     319: q+1
     320: q+1
     321: q+1
     322: 1
     323: q+1
     324: 1
     325: q^2+1
     326: 1
     327: 1
     328: 1
     329: 1
     332: 1
     333: 1
     335: 1
     336: 1
     337: 1
     338: 1
     340: 1
     341: 1
     347: 1
     348: 1
     349: q+1
     350: 1
     351: 1
     352: 1
     353: q+1
     354: 1
     357: 1
     363: 1
     364: q+1
     365: 1
     366: 1
     367: 1
     368: 1
     371: 1
     372: q+1
     373: 1
     374: 1
     378: 1
     380: 1
     385: 1
     386: 1
     388: 1
     389: 1
     390: 1
     391: 1
     393: 1
     394: 1
     400: 1
     401: 1
     402: 1
     403: 1
     404: 1
     405: q+1
     406: 1
     407: 1
     408: 1
     409: 1
     418: 1
     419: 1
     423: 1
     426: 1
     427: 1
     430: 1
     438: 1
     439: 1
     441: 1
     442: 1
     448: 1
     449: 1
     450: 1
     451: 1
     452: 1
     453: 1
     454: 1
     458: 1
     467: 1
     473: 1
     496: 1
     500: 1
     502: 1
     503: 1
     539: 1

540:   0: q^3+3q^2+3q+1
       1: q^3+3q^2+3q+1
       2: q^3+3q^2+3q+1
       3: q^3+3q^2+3q+1
       4: q^2+2q+1
       5: q^2+2q+1
       6: q^3+3q^2+3q+1
       7: q^4+2q^3+2q^2+2q+1
       8: q^2+2q+1
       9: q^2+2q+1
      10: q^2+2q+1
      11: q^3+q^2+q+1
      12: q^3+3q^2+3q+1
      13: q^2+2q+1
      14: q^2+2q+1
      15: q^3+q^2+q+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
      21: q^2+2q+1
      22: q^2+2q+1
      23: q^3+q^2+q+1
      24: q^2+2q+1
      25: q^3+q^2+q+1
      26: q^2+2q+1
      27: q^2+2q+1
      28: q^3+q^2+q+1
      29: q^2+2q+1
      31: 2q^2+3q+1
      32: 2q^2+3q+1
      33: q^2+2q+1
      34: q^2+q+1
      35: q^2+q+1
      36: q^3+3q^2+3q+1
      37: q^2+2q+1
      38: q^3+3q^2+3q+1
      39: q^2+2q+1
      40: q^2+2q+1
      41: q^3+3q^2+3q+1
      42: q^3+3q^2+3q+1
      43: q^2+2q+1
      44: q^2+2q+1
      45: q^2+2q+1
      46: q^2+2q+1
      47: q^3+2q^2+2q+1
      48: q^2+2q+1
      49: q^2+q+1
      50: q^2+q+1
      51: q^2+q+1
      52: q^2+2q+1
      53: q^2+2q+1
      54: q^2+2q+1
      55: q^2+2q+1
      56: 2q^2+3q+1
      57: q^2+q+1
      58: q^2+q+1
      59: q^2+2q+1
      60: q^2+2q+1
      61: q^2+2q+1
      62: q^2+2q+1
      63: q^3+q^2+q+1
      64: q^2+2q+1
      66: 2q+1
      67: 2q+1
      68: q+1
      69: q^2+q+1
      71: 2q^2+3q+1
      72: q^2+2q+1
      73: 2q^2+3q+1
      74: q^2+q+1
      75: q^2+q+1
      76: q^3+3q^2+3q+1
      77: q^3+3q^2+3q+1
      78: q^2+2q+1
      79: q^2+2q+1
      80: q^2+2q+1
      81: q^2+2q+1
      82: q^3+2q^2+2q+1
      83: q^2+2q+1
      84: q^2+q+1
      85: q^2+q+1
      86: q^2+2q+1
      87: q^3+2q^2+2q+1
      88: q^2+2q+1
      89: q^2+q+1
      90: q^2+q+1
      92: q+1
      93: q^2+2q+1
      94: q^2+q+1
      95: 2q^2+3q+1
      96: q^2+2q+1
      97: 2q+1
      98: q^2+2q+1
      99: q^2+2q+1
     100: q^2+2q+1
     101: q^2+q+1
     102: q+1
     103: q^2+2q+1
     104: q^2+q+1
     105: q^2+q+1
     106: q^2+2q+1
     107: q^2+q+1
     108: q^2+q+1
     109: q^2+2q+1
     110: q^2+2q+1
     111: 2q+1
     112: 2q+1
     113: q+1
     114: q^2+q+1
     116: 2q+1
     117: q+1
     118: 2q+1
     119: q^2+q+1
     121: 2q^2+3q+1
     122: 2q^2+3q+1
     123: q^2+2q+1
     124: q^2+q+1
     125: q^2+q+1
     126: q^2+2q+1
     127: q^3+2q^2+2q+1
     128: q^2+2q+1
     129: q^2+q+1
     130: q^2+q+1
     131: q^2+2q+1
     132: q^3+2q^2+2q+1
     133: q^2+2q+1
     134: q^2+q+1
     135: q^2+q+1
     137: q+1
     139: q+1
     140: 2q+1
     141: 2q+1
     142: q+1
     143: q^2+q+1
     144: q^2+2q+1
     145: 2q^2+3q+1
     146: q^2+2q+1
     147: q+1
     148: q+1
     149: q^2+2q+1
     150: q^2+q+1
     151: q^2+q+1
     152: q^2+q+1
     153: q+1
     154: q^2+2q+1
     155: q^2+2q+1
     156: q^2+q+1
     157: q^2+q+1
     158: q^2+2q+1
     159: q^2+q+1
     160: q+1
     161: q^2+2q+1
     162: 2q+1
     163: q+1
     164: 2q+1
     165: q^2+q+1
     167: 2q+1
     168: 2q+1
     169: q+1
     170: q^2+q+1
     172: q+1
     173: q+1
     174: q+1
     175: q^2+1
     176: q^2+1
     177: q^2+2q+1
     178: q^2+2q+1
     180: q+1
     181: q+1
     182: q^2+2q+1
     183: q^3+2q^2+2q+1
     184: q^2+2q+1
     185: q^2+q+1
     186: q^2+q+1
     189: q+1
     190: 2q+1
     191: q+1
     192: q+1
     194: q+1
     195: 2q+1
     196: q+1
     197: q^2+2q+1
     198: q+1
     199: q+1
     200: 1
     201: q^2+1
     202: q+1
     203: q^2+q+1
     204: q+1
     205: q+1
     207: q+1
     208: q+1
     209: q^2+2q+1
     210: q^2+2q+1
     211: q^2+2q+1
     212: q^2+q+1
     213: q^2+q+1
     214: q^2+2q+1
     215: q^2+q+1
     216: q+1
     217: q+1
     218: q+1
     219: 2q+1
     220: 2q+1
     221: q+1
     222: q^2+q+1
     224: 1
     225: 1
     226: 1
     227: q^2+1
     229: q^2+2q+1
     230: q^2+2q+1
     232: q+1
     233: q+1
     234: q+1
     235: q+1
     236: q+1
     237: q^2+1
     238: q^2+1
     240: q+1
     243: q+1
     244: 2q+1
     245: q+1
     246: q+1
     247: q+1
     248: 1
     249: q+1
     250: 1
     252: 1
     253: 1
     254: 1
     255: q+1
     257: q^2+2q+1
     258: q+1
     259: q+1
     261: q+1
     262: q+1
     263: q^2+2q+1
     264: q+1
     265: q+1
     266: 1
     267: q^2+1
     268: q+1
     269: q^2+q+1
     270: q+1
     271: q+1
     272: q+1
     274: q^2+2q+1
     275: q^2+2q+1
     277: q+1
     278: q+1
     279: 1
     280: 1
     281: 1
     282: q^2+1
     284: q+1
     285: q+1
     287: 1
     288: 1
     289: 1
     290: 1
     291: 1
     292: q^2+1
     296: q+1
     297: 1
     298: q+1
     299: q^2+2q+1
     300: q+1
     301: q+1
     302: 1
     305: 1
     306: 1
     307: 1
     308: 1
     309: 1
     313: q+1
     314: 1
     315: 1
     316: q+1
     317: q+1
     319: q+1
     320: q+1
     321: q+1
     322: 1
     323: q+1
     324: 1
     326: 1
     327: 1
     328: 1
     329: q+1
     332: q+1
     333: q+1
     335: 1
     336: 1
     337: 1
     338: 1
     340: 1
     342: 1
     343: 1
     344: 1
     345: q^2+1
     348: 1
     349: q+1
     350: 1
     351: 1
     352: q+1
     353: q+1
     356: 1
     357: 1
     358: 1
     363: 1
     364: q+1
     365: 1
     367: 1
     368: 1
     371: 1
     372: q+1
     373: 1
     376: 1
     377: 1
     378: 1
     379: 1
     380: 1
     385: q+1
     386: q+1
     388: 1
     389: 1
     390: 1
     391: 1
     393: 1
     395: 1
     396: 1
     398: 1
     400: 1
     401: 1
     402: q+1
     404: 1
     405: q+1
     406: 1
     408: 1
     409: 1
     412: 1
     418: 1
     421: 1
     422: 1
     423: 1
     426: 1
     429: 1
     430: 1
     431: 1
     438: 1
     439: 1
     441: 1
     443: 1
     444: 1
     446: 1
     448: 1
     450: 1
     451: 1
     452: 1
     453: 1
     456: 1
     457: 1
     458: 1
     469: 1
     475: 1
     489: 1
     490: 1
     492: 1
     498: 1
     500: 1
     501: 1
     502: 1
     505: 1
     540: 1

541:   0: 3q+1
       1: 3q+1
       2: q^2+2q+1
       3: 3q+1
       4: q^2+2q+1
       5: 3q+1
       6: 3q+1
       7: q^2+2q+1
       8: q+1
       9: 3q+1
      10: 3q+1
      11: q^2+2q+1
      12: q^2+2q+1
      13: q+1
      14: 3q+1
      15: q^2+2q+1
      16: q^2+2q+1
      17: q^2+2q+1
      18: q^2+2q+1
      19: q^2+2q+1
      20: q^2+2q+1
      21: 3q+1
      22: 3q+1
      23: q^2+2q+1
      24: q^2+2q+1
      25: q^2+2q+1
      26: 3q+1
      27: 3q+1
      28: q^2+2q+1
      29: q^2+2q+1
      30: q^2+2q+1
      31: 3q+1
      32: 3q+1
      33: q^2+2q+1
      34: q^2+2q+1
      35: q^2+2q+1
      36: 2q+1
      37: q+1
      38: 2q+1
      39: 2q+1
      40: 2q+1
      41: 3q+1
      42: 3q+1
      43: 3q+1
      44: q+1
      45: 3q+1
      46: 2q+1
      47: 2q+1
      48: q+1
      49: 2q+1
      50: 2q+1
      51: q^2+2q+1
      52: 2q+1
      53: 2q+1
      54: 3q+1
      55: 3q+1
      56: 3q+1
      57: 2q+1
      58: 2q+1
      59: 2q+1
      60: q+1
      61: 3q+1
      62: 3q+1
      63: q^2+2q+1
      64: q^2+2q+1
      65: q^2+2q+1
      66: 3q+1
      67: 3q+1
      68: q^2+2q+1
      69: q^2+2q+1
      70: q^2+2q+1
      71: 2q+1
      72: q+1
      73: 2q+1
      74: 2q+1
      75: 2q+1
      76: 2q+1
      77: 2q+1
      78: q+1
      79: 2q+1
      80: 2q+1
      81: 2q+1
      82: 2q+1
      83: q+1
      84: 2q+1
      85: 2q+1
      86: 2q+1
      87: 2q+1
      88: q+1
      89: 2q+1
      90: 2q+1
      91: q^2+2q+1
      92: 2q+1
      93: 2q+1
      94: 2q+1
      95: q+1
      96: 3q+1
      97: 3q+1
      98: 2q+1
      99: 2q+1
     100: q+1
     101: 2q+1
     102: 2q+1
     103: q+1
     104: 2q+1
     105: 2q+1
     106: 2q+1
     107: 2q+1
     108: 2q+1
     109: 2q+1
     110: q+1
     111: 3q+1
     112: 3q+1
     113: q^2+2q+1
     114: q^2+2q+1
     115: q^2+2q+1
     116: 2q+1
     117: q+1
     118: 2q+1
     119: 2q+1
     120: 2q+1
     121: 2q+1
     122: 2q+1
     123: q+1
     124: 2q+1
     125: 2q+1
     126: 1
     127: q+1
     128: 1
     129: q+1
     130: q+1
     131: 2q+1
     132: 2q+1
     133: q+1
     134: 2q+1
     135: 2q+1
     136: q^2+2q+1
     137: 2q+1
     138: 2q+1
     139: 2q+1
     140: q+1
     141: 3q+1
     142: 2q+1
     143: 2q+1
     144: 2q+1
     145: q+1
     146: q+1
     147: 2q+1
     148: q+1
     149: 1
     150: q+1
     151: q+1
     152: 2q+1
     153: 2q+1
     154: 1
     155: q+1
     156: 2q+1
     157: 2q+1
     158: 2q+1
     159: 2q+1
     160: 2q+1
     161: q+1
     162: 2q+1
     163: q+1
     164: 2q+1
     165: 2q+1
     166: 2q+1
     167: 2q+1
     168: 2q+1
     169: q+1
     170: 2q+1
     171: 2q+1
     172: 1
     173: q+1
     174: 1
     175: q+1
     176: q+1
     177: q+1
     178: q+1
     180: q+1
     181: q+1
     182: 1
     183: q+1
     184: 1
     185: q+1
     186: q+1
     187: 2q+1
     188: 2q+1
     189: 2q+1
     190: q+1
     191: q+1
     192: 2q+1
     193: 2q+1
     194: 2q+1
     195: q+1
     196: q+1
     197: 1
     198: q+1
     199: 1
     200: q+1
     201: q+1
     202: 1
     203: q+1
     204: 2q+1
     205: 1
     207: q+1
     208: q+1
     209: q+1
     210: q+1
     211: 1
     212: q+1
     213: q+1
     214: 1
     215: 2q+1
     216: 2q+1
     217: 2q+1
     218: q+1
     219: 2q+1
     220: 2q+1
     221: q+1
     222: 2q+1
     223: 2q+1
     224: 1
     225: q+1
     226: 1
     227: q+1
     228: q+1
     229: 1
     230: 1
     232: 1
     233: 1
     234: 1
     235: q+1
     236: 1
     237: q+1
     238: q+1
     239: 2q+1
     240: q+1
     241: 2q+1
     242: 2q+1
     243: 2q+1
     244: q+1
     245: q+1
     246: q+1
     247: 1
     248: 1
     249: 1
     250: q+1
     251: q+1
     252: q+1
     253: 1
     254: 1
     255: 1
     257: 1
     258: 1
     259: 1
     261: q+1
     262: q+1
     263: 1
     264: q+1
     265: 1
     266: q+1
     267: q+1
     268: 1
     269: q+1
     270: 1
     271: 2q+1
     272: q+1
     274: 1
     275: 1
     277: 1
     278: 1
     279: 1
     280: q+1
     281: 1
     282: q+1
     283: q+1
     284: 1
     285: 1
     287: 1
     288: 1
     289: 1
     290: q+1
     291: 1
     292: q+1
     293: q+1
     294: q+1
     295: 2q+1
     296: q+1
     297: 1
     298: 1
     299: 1
     300: 1
     301: 1
     302: 1
     303: q+1
     304: q+1
     305: q+1
     306: 1
     307: 1
     308: 1
     309: 1
     313: 1
     314: 1
     315: 1
     316: 1
     317: 1
     319: q+1
     320: 1
     321: q+1
     322: 1
     323: 1
     324: q+1
     325: q+1
     326: q+1
     327: 1
     328: 1
     329: 1
     332: 1
     333: 1
     335: 1
     336: 1
     337: 1
     338: 1
     340: 1
     341: 1
     342: 1
     343: q+1
     344: 1
     345: q+1
     346: q+1
     347: q+1
     348: 1
     349: 1
     350: 1
     351: 1
     352: 1
     353: 1
     354: 1
     355: q+1
     356: 1
     357: 1
     358: 1
     363: 1
     364: 1
     365: 1
     366: 1
     367: 1
     368: 1
     371: 1
     372: 1
     373: 1
     374: q+1
     375: q+1
     376: q+1
     377: 1
     378: 1
     379: 1
     380: 1
     390: 1
     391: 1
     393: 1
     394: 1
     395: 1
     396: 1
     398: 1
     399: 1
     403: 1
     404: 1
     405: 1
     406: 1
     407: 1
     408: 1
     409: 1
     411: 1
     412: 1
     418: 1
     419: 1
     420: 1
     421: 1
     422: 1
     423: 1
     426: 1
     427: 1
     428: q+1
     429: 1
     430: 1
     431: 1
     443: 1
     444: 1
     446: 1
     447: 1
     453: 1
     454: 1
     455: 1
     456: 1
     457: 1
     458: 1
     460: 1
     467: 1
     468: 1
     469: 1
     473: 1
     474: 1
     475: 1
     503: 1
     504: 1
     505: 1
     514: 1
     518: 1
     541: 1

542:   0: q^3+3q^2+3q+1
       1: q^3+3q^2+3q+1
       2: q^3+3q^2+3q+1
       3: q^2+2q+1
       4: q^3+3q^2+3q+1
       5: q^2+2q+1
       6: q^2+2q+1
       7: q^3+3q^2+3q+1
       8: q^3+3q^2+3q+1
       9: q^2+2q+1
      10: q+1
      11: q^2+2q+1
      12: q^2+2q+1
      13: q^4+3q^3+4q^2+3q+1
      14: q+1
      15: q^2+2q+1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      21: q^2+2q+1
      22: q+1
      23: q^2+2q+1
      24: q+1
      25: q+1
      26: q^2+2q+1
      27: q+1
      28: q^2+2q+1
      29: q+1
      31: q^3+3q^2+3q+1
      32: q^2+2q+1
      33: q^3+3q^2+3q+1
      34: q+1
      35: q+1
      36: q^3+3q^2+3q+1
      37: q^3+3q^2+3q+1
      38: q^2+2q+1
      39: q+1
      40: q+1
      41: q^2+2q+1
      42: q^2+2q+1
      43: q+1
      44: q^3+3q^2+3q+1
      45: q+1
      46: q^3+3q^2+3q+1
      47: q^3+3q^2+3q+1
      48: q^3+3q^2+3q+1
      49: q^2+2q+1
      50: q^2+2q+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^3+3q^2+3q+1
      60: q^3+3q^2+3q+1
      61: q^2+2q+1
      62: q+1
      63: q^2+2q+1
      64: q+1
      66: q^2+2q+1
      67: q+1
      68: q^2+2q+1
      69: q+1
      71: q^3+3q^2+3q+1
      72: q^3+3q^2+3q+1
      73: q^2+2q+1
      74: q+1
      75: q+1
      76: q^2+2q+1
      77: q^2+2q+1
      78: q^3+3q^2+3q+1
      79: q+1
      80: q+1
      81: q^2+2q+1
      82: q^2+2q+1
      83: q^3+3q^2+3q+1
      84: q+1
      85: q+1
      86: q^2+2q+1
      87: q^2+2q+1
      88: q^2+2q+1
      89: q+1
      90: q+1
      92: q+1
      93: q+1
      94: q+1
      95: q^2+2q+1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     100: q^2+2q+1
     101: q^2+2q+1
     102: q^2+2q+1
     103: q^3+3q^2+3q+1
     104: q+1
     105: q+1
     106: q^2+2q+1
     107: q+1
     108: q+1
     109: q^2+2q+1
     110: q^2+2q+1
     111: q^2+2q+1
     112: q+1
     113: q^2+2q+1
     114: q+1
     116: q^2+2q+1
     117: q^2+2q+1
     118: q+1
     119: q+1
     121: q^2+2q+1
     122: q^2+2q+1
     123: q^3+3q^2+3q+1
     124: q+1
     125: q+1
     126: q^2+2q+1
     127: q^2+2q+1
     128: q^3+3q^2+3q+1
     129: q+1
     130: q+1
     131: q+1
     132: q+1
     133: q^2+2q+1
     134: 1
     135: 1
     137: q+1
     139: q+1
     140: q+1
     141: q+1
     142: q+1
     143: q+1
     144: q+1
     145: q^2+2q+1
     146: q^2+2q+1
     147: q^2+2q+1
     148: q^2+2q+1
     149: q^2+2q+1
     150: q+1
     151: q+1
     152: q+1
     153: q+1
     154: q^2+2q+1
     155: q+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^2+2q+1
     164: q+1
     165: q+1
     167: q+1
     168: q+1
     169: q^2+2q+1
     170: q+1
     172: q^2+2q+1
     173: q^2+2q+1
     174: q^3+3q^2+3q+1
     175: q+1
     176: q+1
     177: q+1
     178: q+1
     179: q^2+2q+1
     180: 1
     181: 1
     182: q+1
     183: q+1
     184: q^2+2q+1
     185: 1
     186: 1
     189: q+1
     190: q+1
     191: q+1
     192: q+1
     194: q+1
     195: q+1
     196: q+1
     197: q^2+2q+1
     198: q^2+2q+1
     199: q+1
     200: q+1
     201: q+1
     202: q^2+2q+1
     203: q+1
     204: q+1
     205: q^2+2q+1
     206: q+1
     207: 1
     208: 1
     209: q+1
     210: q+1
     211: q+1
     212: 1
     213: 1
     214: q+1
     215: 1
     216: 1
     217: q+1
     218: q+1
     219: q+1
     220: q+1
     221: q^2+2q+1
     222: q+1
     224: q+1
     225: q+1
     226: q^2+2q+1
     227: q+1
     229: q+1
     230: q+1
     231: q^2+2q+1
     232: 1
     233: 1
     234: q+1
     235: q+1
     236: q^2+2q+1
     237: 1
     238: 1
     240: q+1
     243: q+1
     244: q+1
     245: q+1
     246: q+1
     247: q+1
     248: q+1
     249: q+1
     250: q+1
     252: q+1
     253: q+1
     254: q+1
     255: q^2+2q+1
     256: q+1
     257: q+1
     258: 1
     259: 1
     260: q+1
     261: 1
     262: 1
     263: q+1
     264: 1
     265: 1
     266: 1
     267: 1
     268: q+1
     269: 1
     270: q+1
     271: 1
     272: q+1
     274: q+1
     276: q+1
     279: q+1
     280: q+1
     281: q^2+2q+1
     282: q+1
     284: q+1
     285: q+1
     286: q^2+2q+1
     287: 1
     288: 1
     289: 1
     290: 1
     291: q+1
     292: 1
     296: q+1
     297: q+1
     298: q+1
     302: q+1
     305: q+1
     306: q+1
     307: q+1
     308: q+1
     309: q+1
     310: q+1
     311: q+1
     312: 1
     313: 1
     314: 1
     315: 1
     316: q+1
     317: 1
     318: q+1
     319: 1
     320: 1
     321: 1
     322: 1
     323: 1
     324: 1
     326: 1
     327: 1
     328: 1
     329: q+1
     332: q+1
     334: q+1
     337: 1
     338: 1
     339: q+1
     340: 1
     342: 1
     343: 1
     344: q+1
     345: 1
     348: q+1
     356: q+1
     357: q+1
     358: q+1
     360: q+1
     361: 1
     362: 1
     363: 1
     364: 1
     365: 1
     367: 1
     368: 1
     369: 1
     370: q+1
     371: 1
     372: 1
     373: 1
     376: 1
     377: 1
     378: 1
     379: 1
     380: 1
     385: q+1
     387: q+1
     390: 1
     392: 1
     395: 1
     396: 1
     397: q+1
     398: 1
     410: q+1
     412: q+1
     414: 1
     416: 1
     417: 1
     418: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     426: 1
     429: 1
     430: 1
     431: 1
     438: 1
     440: 1
     443: 1
     445: 1
     459: 1
     464: 1
     466: 1
     469: 1
     470: 1
     471: 1
     475: 1
     484: 1
     486: 1
     489: 1
     491: 1
     506: 1
     507: 1
     515: 1
     528: 1
     530: 1
     542: 1

543:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       5: q^3+1
       6: q+1
       7: q+1
       8: q+1
       9: q^3+1
      10: q^3+1
      11: q^3+1
      12: q+1
      13: q+1
      14: q^3+1
      15: q^3+1
      16: q^3+1
      17: q^3+1
      18: q^3+1
      19: q^3+1
      21: q^3+1
      22: q^3+1
      23: q^3+1
      24: q^3+1
      25: q^3+1
      26: 1
      27: 1
      28: 1
      29: 1
      31: q+1
      32: q+1
      33: q+1
      34: q^3+1
      35: q^3+1
      36: q+1
      37: q+1
      38: q+1
      39: q^3+1
      40: q^3+1
      41: q+1
      42: q+1
      43: q^3+1
      44: q+1
      45: q^3+1
      46: q+1
      47: q+1
      48: q+1
      49: q^3+1
      50: q^3+1
      51: q^3+1
      52: q^3+1
      53: 1
      54: q^3+1
      55: 1
      56: q+1
      57: q^3+1
      58: 1
      59: q+1
      60: q+1
      61: 1
      62: 1
      63: 1
      64: 1
      66: 1
      67: 1
      68: 1
      69: 1
      71: q+1
      72: q+1
      73: q+1
      74: q^3+1
      75: q^3+1
      76: q+1
      77: q+1
      78: q+1
      79: q^3+1
      80: q^3+1
      81: q+1
      82: q+1
      83: q+1
      84: q^3+1
      85: q^3+1
      86: 1
      87: 1
      88: 1
      89: 1
      90: 1
      92: 1
      93: 1
      94: q^3+1
      95: q+1
      96: 1
      97: 1
      98: q^3+1
      99: 1
     100: q+1
     101: 1
     102: 1
     103: q+1
     104: q^3+1
     105: 1
     106: q+1
     107: 1
     108: 1
     109: 1
     110: 1
     111: 1
     112: 1
     113: 1
     114: 1
     116: 1
     117: 1
     118: 1
     119: 1
     121: q+1
     122: q+1
     123: q+1
     124: q^3+1
     125: q^3+1
     126: q+1
     127: q+1
     128: q+1
     129: q^3+1
     130: q^3+1
     131: 1
     132: 1
     133: 1
     134: 1
     135: 1
     137: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: q^3+1
     144: 1
     145: q+1
     146: q+1
     147: 1
     148: 1
     149: q+1
     150: q^3+1
     151: 1
     152: 1
     153: 1
     154: q+1
     155: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     161: 1
     162: 1
     163: 1
     164: 1
     165: 1
     167: 1
     168: 1
     169: 1
     170: 1
     172: q+1
     173: q+1
     174: q+1
     175: q^3+1
     176: q^3+1
     177: 1
     178: 1
     179: 1
     180: 1
     181: 1
     182: 1
     183: 1
     184: 1
     185: 1
     186: 1
     189: 1
     190: 1
     191: 1
     192: 1
     194: 1
     195: 1
     196: 1
     197: q+1
     198: 1
     199: 1
     200: 1
     201: q^3+1
     202: q+1
     203: 1
     204: 1
     205: q+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
     224: 1
     225: 1
     226: 1
     227: 1
     229: 1
     230: 1
     231: 1
     232: 1
     233: 1
     234: 1
     235: 1
     236: 1
     237: 1
     238: 1
     240: 1
     243: 1
     244: 1
     245: 1
     246: 1
     247: 1
     248: 1
     249: 1
     250: 1
     252: 1
     253: 1
     254: 1
     255: q+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
     274: 1
     275: 1
     276: 1
     277: 1
     278: 1
     279: 1
     280: 1
     281: 1
     282: 1
     284: 1
     285: 1
     286: 1
     287: 1
     288: 1
     296: 1
     297: 1
     298: 1
     299: 1
     300: 1
     301: 1
     302: 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
     329: 1
     332: 1
     333: 1
     334: 1
     335: 1
     336: 1
     348: 1
     349: 1
     350: 1
     351: 1
     352: 1
     353: 1
     356: 1
     357: 1
     358: 1
     359: 1
     360: 1
     361: 1
     362: 1
     363: 1
     364: 1
     365: 1
     370: 1
     371: 1
     372: 1
     373: 1
     385: 1
     386: 1
     387: 1
     388: 1
     389: 1
     400: 1
     401: 1
     402: 1
     404: 1
     405: 1
     406: 1
     410: 1
     412: 1
     413: 1
     415: 1
     416: 1
     417: 1
     418: 1
     426: 1
     448: 1
     451: 1
     453: 1
     461: 1
     462: 1
     463: 1
     466: 1
     500: 1
     508: 1
     510: 1
     543: 1

544:   0: q^2+2q+1
       1: q^3+2q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: q^3+2q+1
       6: q^3+2q+1
       7: q^3+2q+1
       8: q^2+2q+1
      10: q^3+2q+1
      11: q^3+2q+1
      12: q^3+2q+1
      13: q^2+2q+1
      16: q^3+2q+1
      18: q^4+q^3+q+1
      26: q^3+2q+1
      27: q^3+2q+1
      28: q^3+2q+1
      29: q^3+2q+1
      31: 2q+1
      32: 2q+1
      33: 2q+1
      34: q^3+q+1
      36: q^2+2q+1
      37: q^2+2q+1
      38: q^3+2q+1
      39: q^3+2q+1
      41: q^2+2q+1
      42: q^3+2q+1
      43: q^3+2q+1
      44: q^2+2q+1
      46: q^2+2q+1
      47: q^3+2q+1
      48: q^2+2q+1
      49: q^3+2q+1
      53: q^3+2q+1
      55: q^3+2q+1
      56: 2q+1
      58: q^3+2q+1
      59: 2q+1
      60: q^2+2q+1
      66: 2q+1
      67: 2q+1
      68: 2q+1
      69: q^3+q+1
      71: 2q+1
      72: 2q+1
      73: 2q+1
      74: q^3+q+1
      76: q^2+2q+1
      77: q^3+2q+1
      78: q^2+2q+1
      79: q^3+2q+1
      81: q^2+2q+1
      82: q^3+2q+1
      83: q^2+2q+1
      84: q^3+2q+1
      86: q+1
      87: q+1
      88: q+1
      89: q+1
      92: q+1
      95: 2q+1
      97: 2q+1
      99: q^3+2q+1
     100: q^2+2q+1
     102: 2q+1
     103: 2q+1
     105: q^3+2q+1
     106: 2q+1
     108: q+1
     109: q+1
     110: q+1
     116: 2q+1
     117: 2q+1
     118: 2q+1
     119: q^3+q+1
     121: 2q+1
     122: 2q+1
     123: 2q+1
     124: q^3+q+1
     126: q^2+2q+1
     127: q^3+2q+1
     128: q^2+2q+1
     129: q^3+2q+1
     131: q+1
     132: q+1
     133: q+1
     134: q+1
     139: q+1
     140: 2q+1
     142: q+1
     145: 2q+1
     146: 2q+1
     148: 2q+1
     149: 2q+1
     151: q^3+2q+1
     153: 2q+1
     154: q^2+2q+1
     155: q+1
     157: q+1
     158: q+1
     160: q+1
     161: q+1
     167: 2q+1
     168: 2q+1
     169: 2q+1
     170: q^3+q+1
     172: 2q+1
     173: 2q+1
     174: 2q+1
     175: q^3+q+1
     177: q+1
     178: q+1
     179: q+1
     180: q+1
     182: q+1
     183: q+1
     184: q+1
     185: q+1
     191: q+1
     194: q+1
     195: 2q+1
     196: 2q+1
     197: 2q+1
     199: 2q+1
     200: q+1
     202: 2q+1
     205: 2q+1
     206: q+1
     208: q+1
     209: q+1
     210: q+1
     211: q+1
     213: q+1
     214: q+1
     216: q+1
     218: q+1
     224: 2q+1
     225: 2q+1
     226: 2q+1
     227: q^3+q+1
     229: q+1
     230: q+1
     231: q+1
     232: q+1
     234: 1
     235: 1
     236: 1
     237: 1
     245: q+1
     247: 2q+1
     248: q+1
     252: q+1
     253: 2q+1
     254: 2q+1
     255: 2q+1
     256: q+1
     257: q+1
     259: q+1
     260: q+1
     262: q+1
     263: q+1
     264: q+1
     265: q+1
     266: 1
     268: 1
     270: 1
     274: q+1
     275: q+1
     276: q+1
     277: q+1
     284: 1
     285: 1
     286: 1
     287: 1
     289: 1
     290: 1
     291: 1
     292: 1
     297: q+1
     299: q+1
     301: q+1
     307: q+1
     309: 2q+1
     310: q+1
     311: q+1
     312: q+1
     313: q+1
     314: 1
     316: 1
     318: 1
     320: q+1
     322: 1
     326: 1
     327: 1
     328: 1
     329: 1
     332: 1
     333: 1
     334: 1
     335: 1
     337: 1
     338: 1
     339: 1
     340: 1
     349: q+1
     350: 1
     352: 1
     357: q+1
     359: q+1
     360: 1
     361: q+1
     363: 1
     367: 1
     368: 1
     369: 1
     370: 1
     371: 1
     378: 1
     380: 1
     385: 1
     386: 1
     387: 1
     388: 1
     390: 1
     391: 1
     392: 1
     393: 1
     400: 1
     402: 1
     404: 1
     408: 1
     409: 1
     410: 1
     413: q+1
     414: 1
     415: 1
     416: 1
     423: 1
     425: 1
     430: 1
     438: 1
     439: 1
     440: 1
     441: 1
     450: 1
     451: 1
     452: 1
     458: 1
     459: 1
     461: 1
     462: 1
     465: 1
     470: 1
     502: 1
     508: 1
     509: 1
     511: 1
     544: 1

545:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^3+2q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: q^2+2q+1
       6: q^2+2q+1
       7: q^2+2q+1
       8: q^3+2q^2+2q+1
      10: q^2+2q+1
      11: q^2+2q+1
      12: q+1
      13: q^3+2q^2+2q+1
      16: q+1
      18: q+1
      26: q^2+2q+1
      27: q^2+2q+1
      28: q^2+2q+1
      29: q+1
      31: q^2+2q+1
      32: q^2+2q+1
      33: q^2+2q+1
      34: q+1
      36: q^2+2q+1
      37: q^2+2q+1
      38: q+1
      39: q+1
      41: q^2+2q+1
      42: q^2+2q+1
      43: q^2+2q+1
      44: q^3+2q^2+2q+1
      46: q^2+2q+1
      47: q^2+2q+1
      48: q^3+2q^2+2q+1
      49: q^2+2q+1
      53: q+1
      55: q^2+2q+1
      56: q^2+2q+1
      58: q^2+2q+1
      59: q^2+2q+1
      60: q^2+2q+1
      66: q^2+2q+1
      67: q^2+2q+1
      68: q^2+2q+1
      69: q+1
      71: q^2+2q+1
      72: q^2+2q+1
      73: q+1
      74: q+1
      76: q^2+2q+1
      77: q+1
      78: q^2+2q+1
      79: q+1
      81: q^2+2q+1
      82: q^2+2q+1
      83: q^3+2q^2+2q+1
      84: q^2+2q+1
      86: q+1
      87: q+1
      88: q^2+q+1
      89: q+1
      92: q+1
      95: q+1
      97: q^2+2q+1
      99: q+1
     100: q^2+2q+1
     102: q^2+2q+1
     103: q^2+2q+1
     105: q^2+2q+1
     106: q^2+2q+1
     108: q+1
     109: q+1
     110: q+1
     116: q^2+2q+1
     117: q^2+2q+1
     118: q+1
     119: q+1
     121: q^2+2q+1
     122: q+1
     123: q^2+2q+1
     124: q+1
     126: q^2+2q+1
     127: q+1
     128: q^2+2q+1
     129: q+1
     131: q+1
     132: q+1
     133: q^2+q+1
     134: q+1
     139: q+1
     140: q+1
     142: q+1
     145: q+1
     146: q^2+2q+1
     148: q^2+2q+1
     149: q+1
     151: q+1
     153: q^2+2q+1
     154: q^2+2q+1
     155: q+1
     157: q+1
     158: q+1
     160: q+1
     161: q+1
     167: q^2+2q+1
     168: q+1
     169: q^2+2q+1
     170: q+1
     172: q^2+2q+1
     173: q+1
     174: q^2+2q+1
     175: q+1
     177: q+1
     178: q+1
     179: q^2+q+1
     180: q+1
     182: q+1
     183: 1
     184: q+1
     185: 1
     191: q+1
     194: q+1
     195: q+1
     196: q^2+2q+1
     197: q+1
     199: q+1
     200: q+1
     202: q+1
     205: q^2+2q+1
     206: q+1
     208: q+1
     209: q+1
     210: q+1
     211: 1
     213: 1
     214: q+1
     216: q+1
     218: q+1
     224: q^2+2q+1
     225: q+1
     226: q^2+2q+1
     227: q+1
     229: q+1
     230: 1
     231: q+1
     232: 1
     234: q+1
     235: 1
     236: q+1
     237: 1
     245: q+1
     247: q+1
     248: q+1
     252: q+1
     253: q+1
     254: q^2+2q+1
     255: q+1
     256: q+1
     257: 1
     259: 1
     260: q+1
     262: q+1
     263: 1
     264: q+1
     265: 1
     266: 1
     268: 1
     270: q+1
     274: q+1
     275: 1
     276: q+1
     277: 1
     284: q+1
     285: 1
     286: q+1
     287: 1
     289: q+1
     290: 1
     291: q+1
     292: 1
     297: q+1
     299: 1
     301: 1
     307: q+1
     309: q+1
     310: q+1
     311: 1
     312: q+1
     313: 1
     314: 1
     316: 1
     318: q+1
     320: 1
     322: 1
     326: 1
     327: 1
     328: q+1
     329: 1
     332: q+1
     333: 1
     334: q+1
     335: 1
     337: q+1
     338: 1
     339: q+1
     340: 1
     349: 1
     350: 1
     352: 1
     357: q+1
     359: 1
     360: q+1
     361: 1
     363: 1
     367: 1
     368: 1
     369: q+1
     370: 1
     371: 1
     378: 1
     380: 1
     385: 1
     386: 1
     387: 1
     390: q+1
     391: 1
     392: q+1
     393: 1
     402: 1
     404: 1
     408: 1
     409: 1
     410: 1
     413: 1
     414: q+1
     415: 1
     416: 1
     423: 1
     425: 1
     430: 1
     438: 1
     439: 1
     440: 1
     452: 1
     458: 1
     459: 1
     461: 1
     462: 1
     465: 1
     470: 1
     484: 1
     485: 1
     486: 1
     499: 1
     506: 1
     509: 1
     511: 1
     545: 1

546:   0: q^3+2q^2+2q+1
       1: q+1
       2: q^3+2q^2+2q+1
       3: q^3+2q^2+2q+1
       4: q^3+2q^2+2q+1
       5: q+1
       6: q+1
       7: q+1
       8: q^3+2q^2+2q+1
       9: q+1
      10: q+1
      11: q+1
      12: q+1
      13: q^3+2q^2+2q+1
      14: q+1
      15: q+1
      16: q+1
      17: q+1
      21: q+1
      22: q+1
      23: q+1
      24: q+1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      31: q+1
      32: q+1
      33: q+1
      36: q^3+2q^2+2q+1
      37: q^3+2q^2+2q+1
      38: q+1
      39: q+1
      40: q+1
      41: q^3+2q^2+2q+1
      42: q+1
      43: q+1
      44: q^3+2q^2+2q+1
      45: q+1
      46: q^3+2q^2+2q+1
      47: q+1
      48: q^3+2q^2+2q+1
      49: q+1
      50: 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^3+2q^2+2q+1
      61: q+1
      62: q+1
      63: q+1
      64: q+1
      66: q+1
      67: q+1
      68: q+1
      71: q+1
      72: q+1
      73: q+1
      76: q^3+2q^2+2q+1
      77: q+1
      78: q^3+2q^2+2q+1
      79: q+1
      80: q+1
      81: q^3+2q^2+2q+1
      82: q+1
      83: q^3+2q^2+2q+1
      84: q+1
      85: q+1
      86: q^2+q+1
      87: 1
      88: q^2+q+1
      89: 1
      90: 1
      93: q+1
      95: q+1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     100: q^3+2q^2+2q+1
     101: q+1
     102: q+1
     103: q+1
     104: q+1
     105: q+1
     106: q+1
     107: 1
     108: 1
     109: 1
     110: q^2+q+1
     111: q+1
     112: q+1
     113: q+1
     116: q+1
     117: q+1
     118: q+1
     121: q+1
     122: q+1
     123: q+1
     126: q^3+2q^2+2q+1
     127: q+1
     128: q^3+2q^2+2q+1
     129: q+1
     130: q+1
     131: q^2+q+1
     132: 1
     133: q^2+q+1
     134: 1
     135: 1
     140: q+1
     141: 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^3+2q^2+2q+1
     155: q^2+q+1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     161: 1
     162: q+1
     163: q+1
     164: q+1
     167: q+1
     168: q+1
     169: q+1
     172: q+1
     173: q+1
     174: q+1
     177: q^2+q+1
     178: 1
     179: q^2+q+1
     180: 1
     181: 1
     182: q^2+q+1
     183: 1
     184: q^2+q+1
     185: 1
     186: 1
     190: q+1
     195: q+1
     196: q+1
     197: q+1
     198: q+1
     199: q+1
     202: q+1
     203: q+1
     204: q+1
     205: q+1
     206: q^2+q+1
     207: 1
     208: 1
     209: 1
     210: 1
     211: 1
     212: 1
     213: 1
     214: q^2+q+1
     215: 1
     216: 1
     217: 1
     218: 1
     219: q+1
     220: q+1
     221: q+1
     224: q+1
     225: q+1
     226: q+1
     229: q^2+q+1
     230: 1
     231: q^2+q+1
     232: 1
     233: 1
     234: 1
     235: 1
     236: 1
     244: q+1
     246: q+1
     247: q+1
     249: q+1
     253: q+1
     254: q+1
     255: q+1
     256: 1
     257: 1
     258: 1
     259: 1
     260: q^2+q+1
     261: 1
     262: 1
     263: 1
     264: 1
     265: 1
     268: 1
     269: 1
     270: 1
     271: 1
     272: 1
     274: q^2+q+1
     275: 1
     276: q^2+q+1
     277: 1
     278: 1
     279: q+1
     280: q+1
     281: q+1
     284: 1
     285: 1
     286: 1
     289: 1
     290: 1
     291: 1
     298: q+1
     299: 1
     300: 1
     301: 1
     306: q+1
     308: q+1
     309: q+1
     310: q^2+q+1
     311: 1
     312: 1
     313: 1
     316: 1
     317: 1
     318: 1
     319: 1
     320: 1
     321: 1
     323: 1
     327: 1
     328: 1
     329: 1
     332: 1
     333: 1
     334: 1
     337: 1
     338: 1
     339: 1
     342: 1
     343: 1
     344: 1
     349: 1
     352: 1
     353: 1
     358: q+1
     359: 1
     360: 1
     361: 1
     362: 1
     364: 1
     368: 1
     369: 1
     370: 1
     372: 1
     377: 1
     379: 1
     380: 1
     385: 1
     386: 1
     387: 1
     390: 1
     391: 1
     392: 1
     395: 1
     396: 1
     397: 1
     402: 1
     405: 1
     409: 1
     410: 1
     413: 1
     414: 1
     415: 1
     417: 1
     422: 1
     424: 1
     425: 1
     431: 1
     438: 1
     439: 1
     440: 1
     443: 1
     444: 1
     445: 1
     452: 1
     457: 1
     459: 1
     461: 1
     463: 1
     464: 1
     465: 1
     471: 1
     489: 1
     490: 1
     491: 1
     501: 1
     507: 1
     509: 1
     512: 1
     546: 1

547:   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^4+q^2+q+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^4+q^2+q+1
      15: q^4+q^2+q+1
      16: q^3+q^2+q+1
      17: q^2+1
      18: q^3+q^2+q+1
      19: q^2+1
      20: q^2+1
      21: q^2+q+1
      22: q^2+q+1
      23: q^2+q+1
      24: q^2+1
      25: q^2+1
      26: q^2+2q+1
      27: q^2+2q+1
      28: q^2+2q+1
      29: q^3+q^2+q+1
      30: q^2+1
      31: q^2+2q+1
      32: q^2+2q+1
      33: q^2+2q+1
      34: q^3+q^2+q+1
      35: q^2+1
      36: 2q+1
      37: 2q+1
      38: q^2+q+1
      39: q^2+q+1
      40: q^2+1
      41: q^2+2q+1
      42: q^2+2q+1
      43: q^2+2q+1
      44: q^2+2q+1
      45: q^4+q^2+q+1
      46: q^2+2q+1
      47: q^2+2q+1
      48: q^2+2q+1
      49: q^2+2q+1
      50: q^4+q^2+q+1
      51: q^2+1
      52: q^2+1
      53: q^2+q+1
      54: q^2+q+1
      55: q^2+2q+1
      56: q^2+2q+1
      57: q^2+q+1
      58: q^2+2q+1
      59: q^2+2q+1
      60: 2q+1
      61: q^2+q+1
      62: q^2+q+1
      63: q^2+q+1
      64: q^2+1
      65: q^2+1
      66: q^2+2q+1
      67: q^2+2q+1
      68: q^2+2q+1
      69: q^3+q^2+q+1
      70: q^2+1
      71: 2q+1
      72: 2q+1
      73: q^2+q+1
      74: q^2+q+1
      75: q^2+1
      76: 2q+1
      77: q^2+q+1
      78: 2q+1
      79: q^2+q+1
      80: q^2+1
      81: q^2+2q+1
      82: q^2+2q+1
      83: q^2+2q+1
      84: q^2+2q+1
      85: q^4+q^2+q+1
      86: q+1
      87: q+1
      88: q+1
      89: q+1
      90: q+1
      91: q^2+1
      92: q^2+q+1
      93: q^2+1
      94: q^2+1
      95: q+1
      96: q^2+q+1
      97: q^2+2q+1
      98: q^2+1
      99: q^2+q+1
     100: 2q+1
     101: q^2+q+1
     102: q^2+2q+1
     103: 2q+1
     104: q^2+q+1
     105: q^2+2q+1
     106: q^2+2q+1
     107: q+1
     108: q+1
     109: q+1
     110: q+1
     111: q^2+q+1
     112: q^2+q+1
     113: q^2+q+1
     114: q^2+1
     115: q^2+1
     116: 2q+1
     117: 2q+1
     118: q^2+q+1
     119: q^2+q+1
     120: q^2+1
     121: 2q+1
     122: q^2+q+1
     123: 2q+1
     124: q^2+q+1
     125: q^2+1
     126: 2q+1
     127: q^2+q+1
     128: 2q+1
     129: q^2+q+1
     130: q^2+1
     131: q+1
     132: q+1
     133: q+1
     134: q+1
     135: q+1
     136: q^2+1
     137: q^2+1
     138: q^2+1
     139: q^2+q+1
     140: q+1
     141: q^2+q+1
     142: q^2+q+1
     143: q^2+1
     144: q^2+1
     145: q+1
     146: 2q+1
     147: q^2+q+1
     148: 2q+1
     149: q+1
     150: q^2+1
     151: q^2+q+1
     152: q^2+q+1
     153: q^2+2q+1
     154: 2q+1
     155: q+1
     156: q+1
     157: q+1
     158: q+1
     159: q+1
     160: q+1
     161: q+1
     162: q+1
     163: q+1
     164: 1
     165: 1
     166: 1
     167: 2q+1
     168: q^2+q+1
     169: 2q+1
     170: q^2+q+1
     171: q^2+1
     172: 2q+1
     173: q^2+q+1
     174: 2q+1
     175: q^2+q+1
     176: q^2+1
     177: q+1
     178: q+1
     179: q+1
     180: q+1
     181: q+1
     182: 1
     183: 1
     184: 1
     185: 1
     186: 1
     187: q^2+1
     188: 1
     189: 1
     190: 1
     191: q+1
     192: q^2+1
     193: q^2+1
     194: q^2+q+1
     195: q+1
     196: 2q+1
     197: q+1
     198: q+1
     199: q+1
     200: q^2+q+1
     201: q^2+1
     202: q+1
     203: q^2+1
     204: q^2+q+1
     205: 2q+1
     206: q+1
     207: q+1
     208: q+1
     209: q+1
     210: q+1
     211: 1
     212: 1
     213: 1
     214: 1
     215: q+1
     216: q+1
     217: q+1
     218: q+1
     219: q+1
     220: 1
     221: q+1
     222: 1
     223: 1
     224: 2q+1
     225: q^2+q+1
     226: 2q+1
     227: q^2+q+1
     228: q^2+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: q^2+1
     242: 1
     243: 1
     244: 1
     245: q+1
     246: q+1
     247: q+1
     248: q+1
     249: 1
     250: q^2+1
     251: q^2+1
     252: q^2+q+1
     253: q+1
     254: 2q+1
     255: q+1
     256: q+1
     257: 1
     258: 1
     259: 1
     260: 1
     261: q+1
     262: q+1
     263: 1
     264: q+1
     265: 1
     266: 1
     267: 1
     268: 1
     269: 1
     270: 1
     271: q+1
     272: q+1
     274: 1
     275: 1
     276: 1
     277: 1
     278: 1
     279: q+1
     280: 1
     281: q+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: q+1
     298: 1
     299: 1
     300: 1
     301: 1
     302: 1
     303: q^2+1
     304: 1
     305: 1
     306: 1
     307: q+1
     308: q+1
     309: q+1
     310: 1
     311: 1
     312: q+1
     313: 1
     314: 1
     315: 1
     316: 1
     317: 1
     318: 1
     319: q+1
     320: 1
     321: q+1
     322: 1
     323: 1
     324: 1
     325: 1
     326: 1
     327: 1
     328: 1
     329: 1
     332: 1
     333: 1
     334: 1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: 1
     341: 1
     347: 1
     348: 1
     349: 1
     350: 1
     351: 1
     352: 1
     353: 1
     354: 1
     355: 1
     356: 1
     357: q+1
     358: 1
     359: 1
     360: 1
     361: 1
     362: q+1
     363: 1
     364: 1
     365: 1
     366: 1
     367: 1
     368: 1
     369: 1
     370: 1
     371: 1
     372: 1
     373: 1
     374: 1
     378: 1
     380: 1
     390: 1
     391: 1
     392: 1
     393: 1
     394: 1
     403: 1
     404: 1
     405: 1
     406: 1
     407: 1
     408: 1
     409: 1
     411: 1
     412: 1
     413: 1
     414: 1
     415: 1
     416: 1
     417: 1
     418: 1
     419: 1
     423: 1
     425: 1
     426: 1
     427: 1
     430: 1
     453: 1
     454: 1
     458: 1
     460: 1
     462: 1
     463: 1
     465: 1
     466: 1
     467: 1
     470: 1
     473: 1
     503: 1
     510: 1
     511: 1
     513: 1
     547: 1

548:   0: q^3+3q^2+3q+1
       1: q^3+3q^2+3q+1
       2: q^3+3q^2+3q+1
       3: q^3+3q^2+3q+1
       4: q^3+3q^2+3q+1
       5: q^2+2q+1
       6: q^3+3q^2+3q+1
       7: q^3+3q^2+3q+1
       8: q^3+3q^2+3q+1
       9: q^2+2q+1
      10: q^2+2q+1
      11: q^2+2q+1
      12: q^4+2q^3+2q^2+2q+1
      13: q^3+3q^2+3q+1
      14: q^2+2q+1
      15: q^2+2q+1
      16: q^3+q^2+q+1
      17: q^3+q^2+q+1
      18: q^3+q^2+q+1
      19: q^3+q^2+q+1
      21: q^2+2q+1
      22: q^2+2q+1
      23: q^2+2q+1
      24: q^3+q^2+q+1
      25: q^3+q^2+q+1
      26: q^2+2q+1
      27: q^2+2q+1
      28: q^2+2q+1
      29: q^3+q^2+q+1
      31: q^3+3q^2+3q+1
      32: q^3+3q^2+3q+1
      33: q^3+3q^2+3q+1
      34: q^3+q^2+q+1
      35: q^3+q^2+q+1
      36: 2q^2+3q+1
      37: 2q^2+3q+1
      38: q^3+2q^2+2q+1
      39: q^2+q+1
      40: q^2+q+1
      41: q^3+3q^2+3q+1
      42: q^3+3q^2+3q+1
      43: q^2+2q+1
      44: q^3+3q^2+3q+1
      45: q^2+2q+1
      46: q^3+3q^2+3q+1
      47: q^3+3q^2+3q+1
      48: q^3+3q^2+3q+1
      49: q^2+2q+1
      50: q^2+2q+1
      51: q^3+q^2+q+1
      52: q^2+q+1
      53: q^2+q+1
      54: q^2+2q+1
      55: q^2+2q+1
      56: q^3+3q^2+3q+1
      57: q^2+2q+1
      58: q^2+2q+1
      59: q^3+3q^2+3q+1
      60: 2q^2+3q+1
      61: q^2+2q+1
      62: q^2+2q+1
      63: q^2+2q+1
      64: q^3+q^2+q+1
      66: q^2+2q+1
      67: q^2+2q+1
      68: q^2+2q+1
      69: q^3+q^2+q+1
      71: 2q^2+3q+1
      72: 2q^2+3q+1
      73: q^3+2q^2+2q+1
      74: q^2+q+1
      75: q^2+q+1
      76: 2q^2+3q+1
      77: q^3+2q^2+2q+1
      78: 2q^2+3q+1
      79: q^2+q+1
      80: q^2+q+1
      81: q^3+3q^2+3q+1
      82: q^3+3q^2+3q+1
      83: q^3+3q^2+3q+1
      84: q^2+2q+1
      85: q^2+2q+1
      86: q^2+2q+1
      87: q^2+2q+1
      88: q^2+2q+1
      89: q+1
      90: q+1
      92: q^2+q+1
      93: q^2+q+1
      94: q^2+q+1
      95: q^2+2q+1
      96: q^2+2q+1
      97: q^2+2q+1
      98: q^2+q+1
      99: q^2+q+1
     100: 2q^2+3q+1
     101: q^2+2q+1
     102: q^2+2q+1
     103: 2q^2+3q+1
     104: q^2+2q+1
     105: q^2+2q+1
     106: q^3+3q^2+3q+1
     107: q+1
     108: q+1
     109: q^2+2q+1
     110: q^2+2q+1
     111: q^2+2q+1
     112: q^2+2q+1
     113: q^2+2q+1
     114: q^3+q^2+q+1
     116: 2q+1
     117: 2q+1
     118: q^2+q+1
     119: q^2+q+1
     121: 2q^2+3q+1
     122: q^3+2q^2+2q+1
     123: 2q^2+3q+1
     124: q^2+q+1
     125: q^2+q+1
     126: 2q^2+3q+1
     127: q^3+2q^2+2q+1
     128: 2q^2+3q+1
     129: q^2+q+1
     130: q^2+q+1
     131: q^2+2q+1
     132: q^2+2q+1
     133: q^2+2q+1
     134: q+1
     135: q+1
     137: q^2+q+1
     139: q^2+q+1
     140: q+1
     141: q^2+2q+1
     142: q^2+q+1
     143: q^2+q+1
     144: q^2+q+1
     145: q^2+2q+1
     146: 2q^2+3q+1
     147: q^2+2q+1
     148: 2q+1
     149: q^2+2q+1
     150: q^2+q+1
     151: q^2+q+1
     152: q^2+2q+1
     153: q^2+2q+1
     154: 2q^2+3q+1
     155: q^2+2q+1
     156: q+1
     157: q+1
     158: q^2+2q+1
     159: q+1
     160: q+1
     161: q^2+2q+1
     162: 2q+1
     163: 2q+1
     164: q^2+q+1
     165: q^2+q+1
     167: 2q+1
     168: q^2+q+1
     169: 2q+1
     170: q^2+q+1
     172: 2q^2+3q+1
     173: q^3+2q^2+2q+1
     174: 2q^2+3q+1
     175: q^2+q+1
     176: q^2+q+1
     177: q^2+2q+1
     178: q^2+2q+1
     179: q^2+2q+1
     180: q+1
     181: q+1
     182: q+1
     183: q+1
     184: q+1
     185: 1
     186: 1
     189: q^2+q+1
     190: q+1
     191: q+1
     192: q^2+q+1
     194: q^2+q+1
     195: q+1
     196: 2q+1
     197: q^2+2q+1
     198: 2q+1
     199: q+1
     200: q^2+q+1
     201: q^2+q+1
     202: q^2+2q+1
     203: q^2+q+1
     204: q^2+2q+1
     205: 2q^2+3q+1
     206: q^2+2q+1
     207: q+1
     208: q+1
     209: q^2+2q+1
     210: q^2+2q+1
     211: q+1
     212: 1
     213: 1
     214: q+1
     215: q+1
     216: q+1
     217: q+1
     218: q+1
     219: 2q+1
     220: q^2+q+1
     221: 2q+1
     222: q^2+q+1
     224: 2q+1
     225: q^2+q+1
     226: 2q+1
     227: q^2+q+1
     229: q+1
     230: q+1
     231: q+1
     232: 1
     233: 1
     234: q+1
     235: q+1
     236: q+1
     237: 1
     238: 1
     240: q+1
     243: q^2+q+1
     244: q+1
     245: q+1
     246: 2q+1
     247: q+1
     248: q+1
     249: q+1
     250: q^2+q+1
     252: q^2+q+1
     253: q+1
     254: 2q+1
     255: q^2+2q+1
     256: q^2+2q+1
     257: q+1
     258: 1
     259: 1
     260: q+1
     261: q+1
     262: q+1
     263: q+1
     264: q+1
     265: 1
     266: 1
     267: 1
     268: q+1
     269: 1
     270: q+1
     271: q+1
     272: q+1
     274: q+1
     275: q+1
     276: q+1
     277: 1
     278: 1
     279: 2q+1
     280: q^2+q+1
     281: 2q+1
     282: q^2+q+1
     284: q+1
     285: q+1
     286: q+1
     287: 1
     288: 1
     289: 1
     290: 1
     291: 1
     292: 1
     296: q+1
     297: q+1
     298: q+1
     299: q+1
     300: 1
     301: 1
     302: q+1
     305: q^2+q+1
     306: q+1
     307: q+1
     308: 2q+1
     309: q+1
     310: q+1
     311: q+1
     312: q+1
     313: 1
     314: 1
     315: 1
     316: q+1
     317: 1
     318: q+1
     319: q+1
     320: 1
     321: q+1
     322: 1
     323: 1
     324: 1
     326: 1
     327: 1
     328: 1
     329: q+1
     332: q+1
     333: q+1
     334: q+1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: 1
     342: 1
     343: 1
     344: 1
     345: 1
     348: q+1
     349: 1
     350: 1
     351: 1
     352: q+1
     353: 1
     356: q+1
     357: q+1
     358: q+1
     359: q+1
     360: q+1
     361: 1
     362: q+1
     363: 1
     364: 1
     365: 1
     367: 1
     368: 1
     369: 1
     370: q+1
     371: 1
     372: 1
     373: 1
     376: 1
     377: 1
     378: 1
     379: 1
     380: 1
     390: 1
     391: 1
     392: 1
     393: 1
     395: 1
     396: 1
     397: 1
     398: 1
     404: 1
     405: 1
     406: 1
     408: 1
     409: 1
     412: q+1
     413: 1
     414: 1
     415: q+1
     416: 1
     417: 1
     418: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     426: 1
     429: 1
     430: 1
     431: 1
     443: 1
     444: 1
     445: 1
     446: 1
     453: 1
     456: 1
     457: 1
     458: 1
     462: 1
     463: 1
     464: 1
     465: 1
     466: 1
     469: 1
     470: 1
     471: 1
     475: 1
     505: 1
     510: 1
     511: 1
     512: 1
     515: 1
     548: 1

549:   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: q^2+q+1
      11: 2q+1
      12: q^2+q+1
      13: q^2+q+1
      14: q^2+q+1
      15: 2q+1
      16: q^2+q+1
      17: q^2+q+1
      18: q^2+q+1
      19: q^2+q+1
      20: q^2+q+1
      21: 2q+1
      22: q^2+q+1
      23: 2q+1
      24: q^2+q+1
      25: q^2+q+1
      26: 2q+1
      27: q^2+q+1
      28: 2q+1
      29: q^2+q+1
      30: q^2+q+1
      31: 2q+1
      32: q^2+q+1
      33: 2q+1
      34: q^2+q+1
      35: q^2+q+1
      36: 2q+1
      37: 2q+1
      38: q^2+q+1
      39: q^2+q+1
      40: q^2+q+1
      41: q+1
      42: q+1
      43: q+1
      44: q+1
      45: q+1
      46: 2q+1
      47: 2q+1
      48: 2q+1
      49: 2q+1
      50: 2q+1
      51: q^2+q+1
      52: q^2+q+1
      53: q^2+q+1
      54: q+1
      55: q+1
      56: q+1
      57: 2q+1
      58: 2q+1
      59: 2q+1
      60: 2q+1
      61: 2q+1
      62: q^2+q+1
      63: 2q+1
      64: q^2+q+1
      65: q^2+q+1
      66: 2q+1
      67: q^2+q+1
      68: 2q+1
      69: q^2+q+1
      70: q^2+q+1
      71: 2q+1
      72: 2q+1
      73: q^2+q+1
      74: q^2+q+1
      75: q^2+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^2+q+1
      92: q^2+q+1
      93: q^2+q+1
      94: q^2+q+1
      95: q+1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     100: 1
     101: 2q+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: 2q+1
     112: q^2+q+1
     113: 2q+1
     114: q^2+q+1
     115: q^2+q+1
     116: 2q+1
     117: 2q+1
     118: q^2+q+1
     119: q^2+q+1
     120: q^2+q+1
     121: q+1
     122: q+1
     123: q+1
     124: q+1
     125: q+1
     126: q+1
     127: q+1
     128: q+1
     129: q+1
     130: q+1
     131: 1
     132: 1
     133: 1
     134: 1
     135: 1
     136: q^2+q+1
     137: q^2+q+1
     138: q^2+q+1
     139: q^2+q+1
     140: q+1
     141: q+1
     142: q+1
     143: q+1
     144: q+1
     145: q+1
     146: 1
     147: 2q+1
     148: 2q+1
     149: q+1
     150: q+1
     151: q+1
     152: q+1
     153: q+1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     159: q+1
     160: q+1
     161: q+1
     162: 2q+1
     163: 2q+1
     164: q^2+q+1
     165: q^2+q+1
     166: q^2+q+1
     167: q+1
     168: q+1
     169: q+1
     170: q+1
     171: q+1
     172: q+1
     173: q+1
     174: q+1
     175: q+1
     176: q+1
     177: 1
     178: 1
     179: 1
     180: 1
     181: 1
     182: 1
     183: 1
     184: 1
     185: 1
     186: 1
     187: q^2+q+1
     188: q^2+q+1
     189: q^2+q+1
     190: q+1
     191: q+1
     192: q+1
     193: q+1
     194: q+1
     195: q+1
     196: 1
     197: 1
     198: 2q+1
     199: q+1
     200: q+1
     201: q+1
     202: q+1
     203: q+1
     204: q+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: q+1
     218: q+1
     219: q+1
     220: q+1
     221: q+1
     222: q+1
     223: q+1
     224: q+1
     225: q+1
     226: q+1
     227: q+1
     228: q+1
     229: 1
     230: 1
     231: 1
     232: 1
     233: 1
     234: 1
     235: 1
     236: 1
     237: 1
     238: 1
     239: q^2+q+1
     240: q+1
     241: q+1
     242: q+1
     243: q+1
     244: q+1
     245: q+1
     246: 1
     247: 1
     248: q+1
     249: q+1
     250: q+1
     251: q+1
     252: q+1
     253: q+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: q+1
     279: q+1
     280: q+1
     281: q+1
     282: q+1
     283: q+1
     284: 1
     285: 1
     286: 1
     287: 1
     288: 1
     289: 1
     290: 1
     291: 1
     292: 1
     293: 1
     294: q+1
     295: q+1
     296: q+1
     297: 1
     298: 1
     302: q+1
     303: q+1
     304: q+1
     305: q+1
     306: q+1
     307: q+1
     308: 1
     309: 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
     328: 1
     329: 1
     337: 1
     338: 1
     339: 1
     340: 1
     341: 1
     342: 1
     343: 1
     344: 1
     345: 1
     346: 1
     347: q+1
     348: 1
     354: q+1
     355: q+1
     356: q+1
     357: 1
     358: 1
     361: 1
     362: 1
     363: 1
     364: 1
     365: 1
     366: 1
     367: 1
     368: 1
     369: 1
     370: 1
     371: 1
     372: 1
     373: 1
     374: 1
     375: 1
     376: 1
     377: 1
     378: 1
     379: 1
     380: 1
     395: 1
     396: 1
     397: 1
     398: 1
     399: 1
     403: 1
     411: q+1
     412: 1
     416: 1
     417: 1
     418: 1
     419: 1
     420: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     426: 1
     427: 1
     428: 1
     429: 1
     430: 1
     431: 1
     460: 1
     466: 1
     467: 1
     468: 1
     469: 1
     470: 1
     471: 1
     473: 1
     474: 1
     475: 1
     513: 1
     514: 1
     515: 1
     518: 1
     549: 1

550:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^3+2q^2+2q+1
       3: q^4+2q+1
       4: q^2+2q+1
       5: q+1
       6: q^4+2q+1
       7: q^2+2q+1
       8: q^3+2q^2+2q+1
      10: q^5+q^4+q+1
      11: q+1
      12: q^5+q^4+q+1
      13: q^4+2q^3+2q^2+2q+1
      16: q^4+1
      18: q^4+1
      26: q+1
      27: q^4+q+1
      28: q+1
      29: q^4+1
      31: q^2+2q+1
      32: q^4+2q+1
      33: q^2+2q+1
      34: q^4+1
      36: q^2+2q+1
      37: q^2+2q+1
      38: q^4+q+1
      39: q^4+1
      41: 2q+1
      42: 2q+1
      43: q+1
      44: q^3+2q^2+2q+1
      46: q^2+2q+1
      47: q^2+2q+1
      48: q^3+2q^2+2q+1
      49: q+1
      53: q^4+1
      55: q+1
      56: 2q+1
      58: q+1
      59: q^2+2q+1
      60: q^2+2q+1
      66: q+1
      67: q^4+q+1
      68: q+1
      69: q^4+1
      71: q^2+2q+1
      72: q^2+2q+1
      73: q^4+q+1
      74: q^4+1
      76: 2q+1
      77: q+1
      78: q^2+2q+1
      79: 1
      81: 2q+1
      82: 2q+1
      83: q^3+2q^2+2q+1
      84: q+1
      86: q^2+2q+1
      87: q^2+2q+1
      88: q^3+2q^2+2q+1
      89: q+1
      92: q^4+1
      95: q+1
      97: q+1
      99: 1
     100: 2q+1
     102: q+1
     103: q^2+2q+1
     105: q+1
     106: 2q+1
     108: q+1
     109: q^2+2q+1
     110: q^2+2q+1
     116: q+1
     117: q+1
     118: 1
     119: 1
     121: 2q+1
     122: q+1
     123: q^2+2q+1
     124: 1
     126: 2q+1
     127: q+1
     128: q^2+2q+1
     129: 1
     131: 2q+1
     132: 2q+1
     133: q^3+2q^2+2q+1
     134: q+1
     139: 1
     140: 1
     142: 1
     145: q+1
     146: 2q+1
     148: q+1
     149: q+1
     151: 1
     153: q+1
     154: 2q+1
     155: 2q+1
     157: q+1
     158: 2q+1
     160: q+1
     161: q^2+2q+1
     167: q+1
     168: 1
     169: q+1
     170: 1
     172: 2q+1
     173: q+1
     174: q^2+2q+1
     175: 1
     177: 2q+1
     178: 2q+1
     179: q^3+2q^2+2q+1
     180: q+1
     182: 2q+1
     183: q+1
     184: q^2+2q+1
     185: 1
     191: 1
     194: 1
     195: 1
     196: q+1
     197: q+1
     199: 1
     200: 1
     202: q+1
     205: 2q+1
     206: 2q+1
     208: q+1
     209: 2q+1
     210: 2q+1
     211: q+1
     213: 1
     214: 2q+1
     216: q+1
     218: q+1
     224: q+1
     225: 1
     226: q+1
     227: 1
     229: 2q+1
     230: q+1
     231: q^2+2q+1
     232: 1
     234: 2q+1
     235: q+1
     236: q^2+2q+1
     237: 1
     245: 1
     247: 1
     248: 1
     252: 1
     253: 1
     254: q+1
     255: q+1
     256: 2q+1
     257: q+1
     259: 1
     260: 2q+1
     262: q+1
     263: q+1
     264: q+1
     265: 1
     266: 1
     268: q+1
     270: 2q+1
     273: 2q+1
     274: q+1
     275: 1
     276: q+1
     277: 1
     284: 2q+1
     285: q+1
     286: q^2+2q+1
     287: 1
     289: q+1
     290: 1
     291: q+1
     292: 1
     297: 1
     299: 1
     301: 1
     307: 1
     309: 1
     310: q+1
     311: q+1
     312: q+1
     313: 1
     314: 1
     316: q+1
     318: 2q+1
     320: 1
     322: 1
     326: 1
     327: 1
     328: q+1
     329: q+1
     330: 2q+1
     331: 2q+1
     332: q+1
     333: 1
     334: q+1
     335: 1
     337: q+1
     338: 1
     339: q+1
     340: 1
     349: 1
     350: 1
     352: 1
     357: 1
     359: 1
     360: q+1
     361: 1
     363: 1
     367: 1
     368: 1
     369: q+1
     370: q+1
     371: 1
     378: 1
     380: 1
     381: q+1
     382: q+1
     383: q+1
     384: 2q+1
     404: 1
     413: 1
     415: 1
     416: 1
     423: 1
     425: 1
     430: 1
     432: 1
     433: 1
     435: q+1
     436: q+1
     437: q+1
     462: 1
     470: 1
     472: 1
     476: 1
     477: 1
     479: 1
     482: 1
     516: 1
     517: 1
     520: 1
     526: 1
     550: 1

551:   0: q^2+q+1
       1: 1
       2: q^2+q+1
       3: q+1
       4: q^2+q+1
       5: 1
       6: q^4+1
       7: 1
       8: q^2+q+1
       9: 1
      10: q^4+1
      11: 1
      12: q^4+1
      13: q^3+q^2+q+1
      14: q^4+1
      15: 1
      16: q^4+1
      17: q^4+1
      21: 1
      22: q^4+1
      23: 1
      24: q^4+1
      26: 1
      27: q^4+1
      28: 1
      29: q^4+1
      31: 1
      32: 1
      33: 1
      36: q^2+q+1
      37: q^2+q+1
      38: q^4+1
      39: q^4+1
      40: q^4+1
      41: q+1
      42: 1
      43: 1
      44: q^2+q+1
      45: 1
      46: q^2+q+1
      47: 1
      48: q^2+q+1
      49: 1
      50: 1
      52: q^4+1
      53: q^4+1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: q^2+q+1
      61: 1
      62: q^4+1
      63: 1
      64: q^4+1
      66: 1
      67: 1
      68: 1
      71: 1
      72: 1
      73: 1
      76: q+1
      77: 1
      78: q^2+q+1
      79: 1
      80: 1
      81: q+1
      82: 1
      83: q^2+q+1
      84: 1
      85: 1
      86: q^2+q+1
      87: 1
      88: q^2+q+1
      89: 1
      90: 1
      93: q^4+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: 1
     108: 1
     109: 1
     110: q^2+q+1
     111: 1
     112: 1
     113: 1
     116: 1
     117: 1
     118: 1
     121: 1
     122: 1
     123: 1
     126: q+1
     127: 1
     128: q^2+q+1
     129: 1
     130: 1
     131: q+1
     132: 1
     133: q^2+q+1
     134: 1
     135: 1
     140: 1
     141: 1
     144: 1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     151: 1
     152: 1
     153: 1
     154: q+1
     155: q+1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     161: 1
     162: 1
     163: 1
     164: 1
     167: 1
     168: 1
     169: 1
     172: 1
     173: 1
     174: 1
     177: q+1
     178: 1
     179: q^2+q+1
     180: 1
     181: 1
     182: q+1
     183: 1
     184: q^2+q+1
     185: 1
     186: 1
     190: 1
     195: 1
     196: 1
     197: 1
     198: 1
     199: 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: 1
     214: q+1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     224: 1
     225: 1
     226: 1
     229: q+1
     230: 1
     231: q^2+q+1
     232: 1
     233: 1
     234: 1
     235: 1
     236: 1
     244: 1
     246: 1
     247: 1
     249: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     258: 1
     259: 1
     260: q+1
     261: 1
     262: 1
     263: 1
     264: 1
     265: 1
     268: 1
     269: 1
     270: 1
     271: 1
     272: 1
     273: q+1
     274: q+1
     275: 1
     276: q+1
     277: 1
     278: 1
     279: 1
     280: 1
     281: 1
     284: 1
     285: 1
     286: 1
     289: 1
     290: 1
     291: 1
     298: 1
     299: 1
     300: 1
     301: 1
     306: 1
     308: 1
     309: 1
     310: q+1
     311: 1
     312: 1
     313: 1
     316: 1
     317: 1
     318: 1
     319: 1
     320: 1
     321: 1
     323: 1
     327: 1
     328: 1
     329: 1
     330: 1
     331: q+1
     337: 1
     338: 1
     339: 1
     342: 1
     343: 1
     344: 1
     349: 1
     353: 1
     358: 1
     359: 1
     361: 1
     362: 1
     364: 1
     368: 1
     369: 1
     370: 1
     372: 1
     377: 1
     379: 1
     380: 1
     381: 1
     382: 1
     383: q+1
     384: 1
     395: 1
     396: 1
     397: 1
     405: 1
     413: 1
     417: 1
     422: 1
     424: 1
     425: 1
     431: 1
     432: 1
     433: 1
     434: 1
     436: 1
     437: 1
     463: 1
     471: 1
     472: 1
     476: 1
     480: 1
     482: 1
     483: 1
     516: 1
     521: 1
     527: 1
     551: 1

552:   0: 1
       1: 1
       2: 1
       3: 1
       4: 1
       6: 1
       7: 1
       8: 1
      12: 1
      13: 1
      31: 1
      32: 1
      33: 1
      36: 1
      37: 1
      38: 1
      41: 1
      42: 1
      44: 1
      46: 1
      47: 1
      48: 1
      56: 1
      59: 1
      60: 1
      71: 1
      72: 1
      73: 1
      76: 1
      77: 1
      78: 1
      81: 1
      82: 1
      83: 1
      86: 1
      87: 1
      88: 1
      95: 1
     100: 1
     103: 1
     106: 1
     109: 1
     110: 1
     121: 1
     122: 1
     123: 1
     126: 1
     127: 1
     128: 1
     131: 1
     132: 1
     133: 1
     145: 1
     146: 1
     149: 1
     154: 1
     155: 1
     158: 1
     161: 1
     172: 1
     173: 1
     174: 1
     177: 1
     178: 1
     179: 1
     182: 1
     183: 1
     184: 1
     197: 1
     202: 1
     205: 1
     206: 1
     209: 1
     210: 1
     211: 1
     214: 1
     229: 1
     230: 1
     231: 1
     234: 1
     235: 1
     236: 1
     255: 1
     256: 1
     257: 1
     260: 1
     263: 1
     268: 1
     270: 1
     273: 1
     274: 1
     275: 1
     276: 1
     284: 1
     285: 1
     286: 1
     299: 1
     310: 1
     311: 1
     316: 1
     318: 1
     329: 1
     330: 1
     331: 1
     332: 1
     333: 1
     334: 1
     352: 1
     359: 1
     360: 1
     370: 1
     381: 1
     383: 1
     384: 1
     385: 1
     386: 1
     387: 1
     402: 1
     410: 1
     415: 1
     432: 1
     435: 1
     436: 1
     461: 1
     472: 1
     477: 1
     478: 1
     517: 1
     519: 1
     552: 1

553:   0: q+1
       1: 1
       2: q^3+q+1
       3: q+1
       4: q+1
       5: 1
       6: 1
       7: 1
       8: q^3+q+1
      10: 1
      11: 1
      12: q^5+1
      13: q^3+q+1
      16: q^5+1
      26: 1
      27: 1
      28: 1
      29: q^5+1
      31: 1
      32: 1
      33: 1
      36: q+1
      37: q+1
      38: 1
      39: 1
      41: q+1
      42: 1
      43: 1
      44: q^3+q+1
      46: q+1
      47: 1
      48: q^3+q+1
      49: 1
      53: 1
      55: 1
      56: 1
      58: 1
      59: 1
      60: q+1
      66: 1
      67: 1
      68: 1
      71: 1
      72: 1
      73: 1
      76: q+1
      77: 1
      78: q+1
      79: 1
      81: q+1
      82: 1
      83: q^3+q+1
      84: 1
      86: q+1
      87: 1
      88: q^3+q+1
      89: 1
      95: 1
      97: 1
      99: 1
     100: q+1
     102: 1
     103: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: q+1
     116: 1
     117: 1
     118: 1
     121: 1
     122: 1
     123: 1
     126: q+1
     127: 1
     128: q+1
     129: 1
     131: q+1
     132: 1
     133: q^3+q+1
     134: 1
     140: 1
     145: 1
     146: 1
     148: 1
     149: 1
     151: 1
     153: 1
     154: q+1
     155: q+1
     157: 1
     158: 1
     160: 1
     161: 1
     167: 1
     168: 1
     169: 1
     172: 1
     173: 1
     174: 1
     177: q+1
     178: 1
     179: q^3+q+1
     180: 1
     182: q+1
     183: 1
     184: q+1
     185: 1
     195: 1
     196: 1
     197: 1
     199: 1
     202: 1
     205: 1
     206: q+1
     208: 1
     209: 1
     210: 1
     211: 1
     213: 1
     214: q+1
     216: 1
     218: 1
     224: 1
     225: 1
     226: 1
     229: q+1
     230: 1
     231: q+1
     232: 1
     234: 1
     235: 1
     236: 1
     247: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     259: 1
     260: q+1
     262: 1
     263: 1
     264: 1
     265: 1
     268: 1
     270: 1
     273: q+1
     274: q+1
     275: 1
     276: q+1
     277: 1
     284: 1
     285: 1
     286: 1
     289: 1
     290: 1
     291: 1
     299: 1
     301: 1
     309: 1
     310: q+1
     311: 1
     312: 1
     313: 1
     316: 1
     318: 1
     320: 1
     327: 1
     328: 1
     329: 1
     330: 1
     331: q+1
     332: 1
     333: 1
     334: 1
     337: 1
     338: 1
     339: 1
     349: 1
     352: 1
     359: 1
     360: 1
     361: 1
     368: 1
     369: 1
     370: 1
     380: 1
     381: 1
     382: 1
     383: q+1
     384: 1
     390: 1
     391: 1
     392: 1
     409: 1
     413: 1
     414: 1
     415: 1
     425: 1
     432: 1
     433: 1
     435: 1
     436: 1
     437: 1
     465: 1
     472: 1
     476: 1
     477: 1
     481: 1
     482: 1
     516: 1
     517: 1
     522: 1
     553: 1

554:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q^2+q+1
       5: q^4+1
       6: q+1
       7: q^2+q+1
       8: q^2+q+1
      10: q^4+1
      11: 1
      12: q+1
      13: q^2+q+1
      16: q^4+1
      18: q^4+1
      26: 1
      27: 1
      28: 1
      29: 1
      31: q+1
      32: q+1
      33: q^2+q+1
      34: q^4+1
      36: q+1
      37: q^2+q+1
      38: q+1
      39: q^4+1
      41: q+1
      42: q+1
      43: q^4+1
      44: q^2+q+1
      46: q+1
      47: q+1
      48: q+1
      49: 1
      53: 1
      55: 1
      56: q+1
      58: 1
      59: q+1
      60: q+1
      66: 1
      67: 1
      68: 1
      69: 1
      71: q+1
      72: q^2+q+1
      73: q+1
      74: q^4+1
      76: q+1
      77: q+1
      78: q^2+q+1
      79: q^4+1
      81: q+1
      82: q+1
      83: q+1
      84: 1
      86: q+1
      87: q+1
      88: q+1
      89: 1
      92: 1
      95: q+1
      97: 1
      99: 1
     100: q+1
     102: 1
     103: q+1
     105: 1
     106: q+1
     108: 1
     109: q+1
     110: q+1
     116: 1
     117: 1
     118: 1
     119: 1
     121: q+1
     122: q+1
     123: q^2+q+1
     124: q^4+1
     126: q+1
     127: q+1
     128: q+1
     129: 1
     131: q+1
     132: q+1
     133: q+1
     134: 1
     139: 1
     140: 1
     142: 1
     145: q+1
     146: q+1
     148: 1
     149: q+1
     151: 1
     153: 1
     154: q+1
     155: q+1
     157: 1
     158: q+1
     160: 1
     161: q+1
     167: 1
     168: 1
     169: 1
     170: 1
     172: q+1
     173: q+1
     174: q+1
     175: 1
     177: 1
     178: 1
     179: q+1
     180: 1
     182: q+1
     183: q+1
     184: q+1
     185: 1
     191: 1
     194: 1
     195: 1
     196: 1
     197: q+1
     199: 1
     200: 1
     202: q+1
     205: q+1
     206: 1
     208: 1
     209: 1
     210: q+1
     211: q+1
     213: 1
     214: q+1
     216: 1
     218: 1
     224: 1
     225: 1
     226: 1
     227: 1
     229: 1
     230: 1
     231: q+1
     232: 1
     234: q+1
     235: q+1
     236: q+1
     237: 1
     245: 1
     247: 1
     248: 1
     252: 1
     253: 1
     254: 1
     255: q+1
     256: 1
     257: 1
     259: 1
     260: 1
     262: 1
     263: q+1
     264: 1
     265: 1
     266: 1
     268: q+1
     270: q+1
     273: 1
     274: 1
     275: 1
     276: q+1
     277: 1
     284: 1
     285: 1
     286: q+1
     287: 1
     289: 1
     290: 1
     291: 1
     292: 1
     297: 1
     299: 1
     301: 1
     307: 1
     309: 1
     310: 1
     311: 1
     312: 1
     313: 1
     314: 1
     316: 1
     318: 1
     320: 1
     322: 1
     326: 1
     327: 1
     328: 1
     329: q+1
     330: 1
     331: 1
     332: 1
     333: 1
     334: q+1
     335: 1
     349: 1
     350: 1
     352: 1
     357: 1
     359: 1
     360: 1
     361: 1
     363: 1
     370: 1
     371: 1
     378: 1
     380: 1
     381: 1
     382: 1
     383: 1
     384: 1
     385: 1
     386: 1
     387: q+1
     388: 1
     400: 1
     402: 1
     404: 1
     410: 1
     413: 1
     415: 1
     416: 1
     430: 1
     432: 1
     433: 1
     435: 1
     436: 1
     451: 1
     461: 1
     462: 1
     476: 1
     477: 1
     478: 1
     479: 1
     508: 1
     519: 1
     520: 1
     554: 1

555:   0: q^2+2q+1
       1: q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^3+2q^2+2q+1
       5: q+1
       6: q+1
       7: q^2+q+1
       8: q^3+2q^2+2q+1
      10: q+1
      11: q^2+q+1
      12: q+1
      13: q^3+2q^2+2q+1
      16: q+1
      26: q+1
      27: q+1
      28: q^2+q+1
      29: q+1
      31: q+1
      32: q+1
      33: q^2+q+1
      36: q^2+2q+1
      37: q^3+2q^2+2q+1
      38: q+1
      39: q+1
      41: q^2+2q+1
      42: q+1
      43: q+1
      44: q^3+2q^2+2q+1
      46: q^2+2q+1
      47: q+1
      48: q^2+2q+1
      49: q+1
      53: q+1
      55: q+1
      56: q+1
      58: q+1
      59: q+1
      60: q^2+2q+1
      66: q+1
      67: q+1
      68: q^2+q+1
      71: q+1
      72: q^2+q+1
      73: q+1
      76: q^2+2q+1
      77: q+1
      78: q^3+2q^2+2q+1
      79: q+1
      81: q^2+2q+1
      82: q+1
      83: q^2+2q+1
      84: q+1
      86: q^2+2q+1
      87: q+1
      88: q^2+2q+1
      89: q+1
      95: q+1
      97: q+1
      99: q+1
     100: q^2+2q+1
     102: q+1
     103: q+1
     105: q+1
     106: q+1
     108: q+1
     109: q+1
     110: q^2+2q+1
     116: q+1
     117: q^2+q+1
     118: q+1
     121: q+1
     122: q+1
     123: q^2+q+1
     126: q^2+2q+1
     127: q+1
     128: q^2+2q+1
     129: q+1
     131: q^2+2q+1
     132: q+1
     133: q^2+2q+1
     134: q+1
     140: q+1
     145: q+1
     146: q+1
     148: q+1
     149: q+1
     151: q+1
     153: q+1
     154: q^2+2q+1
     155: q^2+2q+1
     157: q+1
     158: q+1
     160: q+1
     161: q+1
     167: q+1
     168: q+1
     169: q^2+q+1
     172: q+1
     173: q+1
     174: q+1
     177: q+1
     178: 1
     179: q^2+2q+1
     180: 1
     182: q^2+2q+1
     183: q+1
     184: q^2+2q+1
     185: q+1
     195: q+1
     196: q+1
     197: q+1
     199: q+1
     202: q+1
     205: q+1
     206: q+1
     208: 1
     209: 1
     210: q+1
     211: q+1
     213: q+1
     214: q^2+2q+1
     216: q+1
     218: q+1
     224: q+1
     225: q+1
     226: q+1
     229: q+1
     230: 1
     231: q^2+2q+1
     232: 1
     234: q+1
     235: q+1
     236: q+1
     247: q+1
     253: q+1
     254: q+1
     255: q+1
     256: 1
     257: 1
     259: 1
     260: q+1
     262: 1
     263: q+1
     264: q+1
     265: q+1
     268: q+1
     270: q+1
     273: q+1
     274: q+1
     275: 1
     276: q^2+2q+1
     277: 1
     284: 1
     285: 1
     286: q+1
     289: q+1
     290: q+1
     291: q+1
     299: 1
     301: 1
     309: q+1
     310: q+1
     311: 1
     312: 1
     313: 1
     316: 1
     318: 1
     320: q+1
     327: q+1
     328: q+1
     329: q+1
     330: 1
     331: q+1
     332: 1
     333: 1
     334: q+1
     337: 1
     338: 1
     339: q+1
     349: 1
     352: 1
     359: 1
     360: 1
     361: 1
     368: 1
     369: 1
     370: 1
     380: q+1
     381: 1
     382: 1
     383: q+1
     384: 1
     385: 1
     386: 1
     387: q+1
     390: 1
     391: 1
     392: q+1
     402: 1
     409: 1
     410: 1
     413: 1
     414: 1
     415: 1
     425: 1
     432: 1
     433: 1
     435: 1
     436: 1
     437: 1
     438: 1
     439: 1
     440: q+1
     452: 1
     459: 1
     461: 1
     465: 1
     476: 1
     477: 1
     478: 1
     481: 1
     482: 1
     509: 1
     519: 1
     522: 1
     523: 1
     555: 1

556:   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^4+q^3+q+1
       6: q^3+2q+1
       7: q^2+2q+1
       8: q^3+2q^2+2q+1
       9: q^4+q^3+q+1
      10: q^4+q^3+q+1
      11: q+1
      12: q^4+q^3+q+1
      13: q^3+2q^2+2q+1
      14: q^4+q^3+q+1
      15: q+1
      16: q^3+1
      17: q^3+1
      18: q^3+1
      19: q^3+1
      21: q^4+q^3+q+1
      22: q^4+q^3+q+1
      23: q+1
      24: q^3+1
      25: q^3+1
      26: q^3+q+1
      27: q^3+q+1
      28: q+1
      29: q^3+1
      31: q^3+2q+1
      32: q^3+2q+1
      33: q^2+2q+1
      34: q^3+1
      35: q^3+1
      36: 2q+1
      37: q^2+2q+1
      38: q^3+q+1
      39: q^3+1
      40: q^3+1
      41: q^3+2q+1
      42: q^3+2q+1
      43: q^4+q^3+q+1
      44: q^3+2q^2+2q+1
      45: q^4+q^3+q+1
      46: 2q+1
      47: 2q+1
      48: q^2+2q+1
      49: q+1
      50: q+1
      51: q^3+1
      52: q^3+1
      53: q^3+1
      54: q^4+q^3+q+1
      55: q^3+q+1
      56: q^3+2q+1
      57: q+1
      58: q+1
      59: 2q+1
      60: 2q+1
      61: q^3+q+1
      62: q^3+q+1
      63: q+1
      64: q^3+1
      66: q^3+q+1
      67: q^3+q+1
      68: q+1
      69: q^3+1
      71: 2q+1
      72: q^2+2q+1
      73: q^3+q+1
      74: q^3+1
      75: q^3+1
      76: 2q+1
      77: q^3+q+1
      78: q^2+2q+1
      79: q^3+1
      80: q^3+1
      81: 2q+1
      82: 2q+1
      83: q^2+2q+1
      84: q+1
      85: q+1
      86: 2q+1
      87: 2q+1
      88: q^2+2q+1
      89: q+1
      90: q+1
      92: q^3+1
      93: q^3+1
      94: q^3+1
      95: q+1
      96: q^3+q+1
      97: q^3+q+1
      98: q^3+1
      99: q^3+1
     100: 2q+1
     101: q+1
     102: q+1
     103: 2q+1
     104: q+1
     105: q+1
     106: 2q+1
     107: q+1
     108: q+1
     109: 2q+1
     110: 2q+1
     111: q^3+q+1
     112: q^3+q+1
     113: q+1
     114: q^3+1
     116: q+1
     117: q+1
     118: 1
     119: 1
     121: 2q+1
     122: q^3+q+1
     123: q^2+2q+1
     124: q^3+1
     125: q^3+1
     126: 2q+1
     127: q+1
     128: 2q+1
     129: 1
     130: 1
     131: 2q+1
     132: 2q+1
     133: q^2+2q+1
     134: q+1
     135: q+1
     137: q^3+1
     139: 1
     140: 1
     141: q^3+q+1
     142: q^3+1
     143: q^3+1
     144: q^3+1
     145: q+1
     146: 2q+1
     147: q+1
     148: q+1
     149: q+1
     150: 1
     151: 1
     152: q+1
     153: q+1
     154: 2q+1
     155: 2q+1
     156: q+1
     157: q+1
     158: 2q+1
     159: q+1
     160: q+1
     161: 2q+1
     162: q+1
     163: q+1
     164: 1
     165: 1
     167: q+1
     168: 1
     169: q+1
     170: 1
     172: 2q+1
     173: q+1
     174: 2q+1
     175: 1
     176: 1
     177: q+1
     178: q+1
     179: q^2+2q+1
     180: q+1
     181: q+1
     182: 2q+1
     183: q+1
     184: 2q+1
     185: 1
     186: 1
     189: 1
     190: 1
     191: 1
     192: q^3+1
     194: 1
     195: 1
     196: q+1
     197: q+1
     198: q+1
     199: 1
     200: 1
     201: 1
     202: q+1
     203: 1
     204: q+1
     205: 2q+1
     206: q+1
     207: q+1
     208: q+1
     209: q+1
     210: 2q+1
     211: q+1
     212: 1
     213: 1
     214: 2q+1
     215: q+1
     216: q+1
     217: q+1
     218: q+1
     219: q+1
     220: 1
     221: q+1
     222: 1
     224: q+1
     225: 1
     226: q+1
     227: 1
     229: 1
     230: 1
     231: q+1
     232: 1
     233: 1
     234: 2q+1
     235: q+1
     236: 2q+1
     237: 1
     238: 1
     240: 1
     243: 1
     244: 1
     245: 1
     246: q+1
     247: 1
     248: 1
     249: 1
     250: 1
     252: 1
     253: 1
     254: q+1
     255: q+1
     256: q+1
     257: 1
     258: 1
     259: 1
     260: 1
     261: q+1
     262: q+1
     263: q+1
     264: q+1
     265: 1
     266: 1
     267: 1
     268: q+1
     269: 1
     270: 2q+1
     271: q+1
     272: q+1
     273: q+1
     274: 1
     275: 1
     276: q+1
     277: 1
     278: 1
     279: q+1
     280: 1
     281: q+1
     282: 1
     284: 1
     285: 1
     286: q+1
     287: 1
     288: 1
     289: q+1
     290: 1
     291: q+1
     292: 1
     296: 1
     297: 1
     298: 1
     299: 1
     300: 1
     301: 1
     302: 1
     305: 1
     306: 1
     307: 1
     308: q+1
     309: 1
     310: 1
     311: 1
     312: q+1
     313: 1
     314: 1
     315: 1
     316: 1
     317: 1
     318: 1
     319: q+1
     320: 1
     321: q+1
     322: 1
     323: 1
     324: 1
     326: 1
     327: 1
     328: q+1
     329: q+1
     330: q+1
     331: 1
     332: 1
     333: 1
     334: q+1
     335: 1
     336: 1
     342: q+1
     343: 1
     344: q+1
     345: 1
     348: 1
     349: 1
     350: 1
     351: 1
     352: 1
     353: 1
     356: 1
     357: 1
     358: 1
     359: 1
     360: 1
     361: 1
     362: q+1
     363: 1
     364: 1
     365: 1
     370: 1
     371: 1
     372: 1
     373: 1
     376: 1
     377: 1
     378: 1
     379: q+1
     380: 1
     381: 1
     382: q+1
     383: 1
     384: 1
     404: 1
     405: 1
     406: 1
     412: 1
     413: 1
     415: 1
     416: 1
     417: 1
     418: 1
     426: 1
     429: 1
     430: 1
     431: 1
     432: 1
     433: 1
     434: q+1
     435: 1
     436: 1
     453: 1
     462: 1
     463: 1
     466: 1
     475: 1
     476: 1
     477: 1
     479: 1
     480: 1
     510: 1
     520: 1
     521: 1
     524: 1
     556: 1

557:   0: q^3+2q+1
       1: q^3+2q+1
       2: q^2+2q+1
       3: q^3+2q+1
       4: q^2+2q+1
       5: q^3+2q+1
       6: q^3+2q+1
       7: q^2+2q+1
       8: q^3+2q^2+2q+1
      10: q^3+2q+1
      11: q^2+2q+1
      12: q^4+q^3+q+1
      13: q^3+2q^2+2q+1
      16: q^4+q^3+q+1
      18: q^4+q^3+q+1
      26: q^3+2q+1
      27: q^3+2q+1
      28: q^2+2q+1
      29: q^4+q^3+q+1
      31: q^3+2q+1
      32: q^3+2q+1
      33: q^2+2q+1
      34: q^4+q^3+q+1
      36: 2q+1
      37: q^2+2q+1
      38: q^3+q+1
      39: q^3+q+1
      41: q^3+2q+1
      42: q^3+2q+1
      43: q^3+2q+1
      44: q^3+2q^2+2q+1
      46: 2q+1
      47: 2q+1
      48: q^2+2q+1
      49: 2q+1
      53: q^3+q+1
      55: q^3+2q+1
      56: q^3+2q+1
      58: 2q+1
      59: 2q+1
      60: 2q+1
      66: q^3+2q+1
      67: q^3+2q+1
      68: q^2+2q+1
      69: q^4+q^3+q+1
      71: 2q+1
      72: q^2+2q+1
      73: q^3+q+1
      74: q^3+q+1
      76: 2q+1
      77: q^3+q+1
      78: q^2+2q+1
      79: q^3+q+1
      81: 2q+1
      82: 2q+1
      83: q^2+2q+1
      84: 2q+1
      86: 2q+1
      87: 2q+1
      88: q^2+2q+1
      89: 2q+1
      92: q^3+q+1
      95: q+1
      97: q^3+2q+1
      99: q^3+q+1
     100: 2q+1
     102: 2q+1
     103: 2q+1
     105: 2q+1
     106: 2q+1
     108: 2q+1
     109: 2q+1
     110: 2q+1
     116: 2q+1
     117: q^2+2q+1
     118: q^3+q+1
     119: q^3+q+1
     121: 2q+1
     122: q^3+q+1
     123: q^2+2q+1
     124: q^3+q+1
     126: 2q+1
     127: q+1
     128: 2q+1
     129: q+1
     131: 2q+1
     132: 2q+1
     133: q^2+2q+1
     134: 2q+1
     139: q^3+q+1
     140: q+1
     142: q^3+q+1
     145: q+1
     146: 2q+1
     148: 2q+1
     149: q+1
     151: q+1
     153: 2q+1
     154: 2q+1
     155: 2q+1
     157: 2q+1
     158: 2q+1
     160: 2q+1
     161: 2q+1
     167: 2q+1
     168: q^3+q+1
     169: q^2+2q+1
     170: q^3+q+1
     172: 2q+1
     173: q+1
     174: 2q+1
     175: q+1
     177: q+1
     178: q+1
     179: q^2+2q+1
     180: q+1
     182: 2q+1
     183: q+1
     184: 2q+1
     185: q+1
     191: q+1
     194: q^3+q+1
     195: q+1
     196: 2q+1
     197: q+1
     199: q+1
     200: q+1
     202: q+1
     205: 2q+1
     206: q+1
     208: q+1
     209: q+1
     210: 2q+1
     211: q+1
     213: q+1
     214: 2q+1
     216: 2q+1
     218: 2q+1
     224: 2q+1
     225: q+1
     226: 2q+1
     227: q+1
     229: 1
     230: 1
     231: q+1
     232: 1
     234: 2q+1
     235: q+1
     236: 2q+1
     237: q+1
     245: q+1
     247: q+1
     248: q+1
     252: q+1
     253: q+1
     254: 2q+1
     255: q+1
     256: q+1
     257: 1
     259: 1
     260: 1
     262: q+1
     263: q+1
     264: 2q+1
     265: q+1
     266: q+1
     268: q+1
     270: 2q+1
     273: q+1
     274: 1
     275: 1
     276: q+1
     277: 1
     284: 1
     285: 1
     286: q+1
     287: 1
     289: 2q+1
     290: q+1
     291: 2q+1
     292: q+1
     297: q+1
     299: 1
     301: 1
     307: q+1
     309: q+1
     310: 1
     311: 1
     312: q+1
     313: 1
     314: 1
     316: 1
     318: 1
     320: q+1
     322: q+1
     326: q+1
     327: q+1
     328: 2q+1
     329: q+1
     330: q+1
     331: 1
     332: 1
     333: 1
     334: q+1
     335: 1
     337: 1
     338: 1
     339: q+1
     340: 1
     349: 1
     350: 1
     352: 1
     357: q+1
     359: 1
     360: 1
     361: 1
     363: 1
     367: 1
     368: 1
     369: 1
     370: 1
     371: q+1
     378: q+1
     380: q+1
     381: 1
     382: q+1
     383: 1
     384: 1
     390: 1
     391: 1
     392: q+1
     393: 1
     404: 1
     408: 1
     409: 1
     413: 1
     414: 1
     415: 1
     416: 1
     423: 1
     425: 1
     430: q+1
     432: 1
     433: 1
     435: 1
     436: 1
     437: 1
     458: 1
     462: 1
     465: 1
     470: 1
     476: 1
     477: 1
     479: 1
     481: 1
     482: 1
     511: 1
     520: 1
     522: 1
     526: 1
     557: 1

558:   0: q^4+q^3+2q^2+3q+1
       1: q^3+2q+1
       2: q^3+3q^2+3q+1
       3: q^4+q^3+2q^2+3q+1
       4: q^3+3q^2+3q+1
       5: q^3+2q+1
       6: q^3+2q+1
       7: q^2+2q+1
       8: q^4+3q^3+4q^2+3q+1
       9: q^3+2q+1
      10: q^3+2q+1
      11: q^2+2q+1
      12: q^4+q^3+q+1
      13: q^4+3q^3+4q^2+3q+1
      14: q^3+2q+1
      15: q^2+2q+1
      16: q^4+q^3+q+1
      17: q^4+q^3+q+1
      21: q^3+2q+1
      22: q^3+2q+1
      23: q^2+2q+1
      24: q^4+q^3+q+1
      26: q^3+2q+1
      27: q^3+2q+1
      28: q^2+2q+1
      29: q^4+q^3+q+1
      31: q^3+2q+1
      32: q^3+2q+1
      33: q^2+2q+1
      36: 2q^2+3q+1
      37: q^3+3q^2+3q+1
      38: q^3+q+1
      39: q^3+q+1
      40: q^3+q+1
      41: q^4+q^3+2q^2+3q+1
      42: q^3+2q+1
      43: q^3+2q+1
      44: q^4+3q^3+4q^2+3q+1
      45: q^3+2q+1
      46: 2q^2+3q+1
      47: 2q+1
      48: q^3+3q^2+3q+1
      49: 2q+1
      50: 2q+1
      52: q^3+q+1
      53: q^3+q+1
      54: q^3+2q+1
      55: q^3+2q+1
      56: q^3+2q+1
      57: 2q+1
      58: 2q+1
      59: 2q+1
      60: 2q^2+3q+1
      61: q^3+2q+1
      62: q^3+2q+1
      63: q^2+2q+1
      64: q^4+q^3+q+1
      66: q^3+2q+1
      67: q^3+2q+1
      68: q^2+2q+1
      71: 2q+1
      72: q^2+2q+1
      73: q^3+q+1
      76: 2q^2+3q+1
      77: q^3+q+1
      78: q^3+3q^2+3q+1
      79: q^3+q+1
      80: q^3+q+1
      81: 2q^2+3q+1
      82: 2q+1
      83: q^3+3q^2+3q+1
      84: 2q+1
      85: 2q+1
      86: 2q^2+3q+1
      87: 2q+1
      88: q^3+3q^2+3q+1
      89: 2q+1
      90: 2q+1
      93: q^3+q+1
      95: q+1
      96: q^3+2q+1
      97: q^3+2q+1
      98: q^3+q+1
      99: q^3+q+1
     100: 2q^2+3q+1
     101: 2q+1
     102: 2q+1
     103: 2q+1
     104: 2q+1
     105: 2q+1
     106: 2q+1
     107: 2q+1
     108: 2q+1
     109: 2q+1
     110: 2q^2+3q+1
     111: q^3+2q+1
     112: q^3+2q+1
     113: q^2+2q+1
     116: 2q+1
     117: q^2+2q+1
     118: q^3+q+1
     121: 2q+1
     122: q^3+q+1
     123: q^2+2q+1
     126: 2q^2+3q+1
     127: q+1
     128: 2q^2+3q+1
     129: q+1
     130: q+1
     131: 2q^2+3q+1
     132: 2q+1
     133: q^3+3q^2+3q+1
     134: 2q+1
     135: 2q+1
     140: q+1
     141: q^3+2q+1
     144: q^3+q+1
     145: q+1
     146: 2q+1
     147: 2q+1
     148: 2q+1
     149: q+1
     150: q+1
     151: q+1
     152: 2q+1
     153: 2q+1
     154: 2q^2+3q+1
     155: 2q^2+3q+1
     156: 2q+1
     157: 2q+1
     158: 2q+1
     159: 2q+1
     160: 2q+1
     161: 2q+1
     162: 2q+1
     163: q^2+2q+1
     164: q^3+q+1
     167: 2q+1
     168: q^3+q+1
     169: q^2+2q+1
     172: 2q+1
     173: q+1
     174: 2q+1
     177: q^2+2q+1
     178: q+1
     179: q^3+3q^2+3q+1
     180: q+1
     181: q+1
     182: 2q^2+3q+1
     183: q+1
     184: 2q^2+3q+1
     185: q+1
     186: q+1
     190: q+1
     195: q+1
     196: 2q+1
     197: q+1
     198: 2q+1
     199: q+1
     202: q+1
     203: q+1
     204: 2q+1
     205: 2q+1
     206: q^2+2q+1
     207: q+1
     208: q+1
     209: q+1
     210: 2q+1
     211: q+1
     212: q+1
     213: q+1
     214: 2q^2+3q+1
     215: 2q+1
     216: 2q+1
     217: 2q+1
     218: 2q+1
     219: 2q+1
     220: q^3+q+1
     221: q^2+2q+1
     224: 2q+1
     225: q+1
     226: 2q+1
     229: q+1
     230: 1
     231: q^2+2q+1
     232: 1
     233: 1
     234: 2q+1
     235: q+1
     236: 2q+1
     244: q+1
     246: 2q+1
     247: q+1
     249: q+1
     253: q+1
     254: 2q+1
     255: q+1
     256: q+1
     257: 1
     258: 1
     259: 1
     260: q+1
     261: q+1
     262: q+1
     263: q+1
     264: 2q+1
     265: q+1
     268: q+1
     269: q+1
     270: 2q+1
     271: 2q+1
     272: 2q+1
     273: q^2+2q+1
     274: q+1
     275: 1
     276: q^2+2q+1
     277: 1
     278: 1
     279: 2q+1
     280: q+1
     281: 2q+1
     284: 1
     285: 1
     286: q+1
     289: 2q+1
     290: q+1
     291: 2q+1
     298: q+1
     299: 1
     300: 1
     301: 1
     306: q+1
     308: 2q+1
     309: q+1
     310: q+1
     311: 1
     312: q+1
     313: 1
     316: 1
     317: 1
     318: 1
     319: q+1
     320: q+1
     321: 2q+1
     323: q+1
     327: q+1
     328: 2q+1
     329: q+1
     330: q+1
     331: q+1
     332: 1
     333: 1
     334: q+1
     337: 1
     338: 1
     339: q+1
     342: 2q+1
     343: q+1
     344: 2q+1
     349: 1
     352: 1
     353: 1
     358: q+1
     359: 1
     360: 1
     361: 1
     362: q+1
     364: 1
     368: 1
     369: 1
     370: 1
     372: q+1
     377: q+1
     379: 2q+1
     380: q+1
     381: 1
     382: q+1
     383: q+1
     384: 1
     390: 1
     391: 1
     392: q+1
     395: 1
     396: 1
     397: q+1
     405: 1
     409: 1
     413: 1
     414: 1
     415: 1
     417: 1
     422: 1
     424: 1
     425: 1
     431: q+1
     432: 1
     433: 1
     434: q+1
     435: 1
     436: 1
     437: 1
     443: 1
     444: 1
     445: q+1
     457: 1
     463: 1
     464: 1
     465: 1
     471: 1
     476: 1
     477: 1
     480: 1
     481: 1
     482: 1
     483: 1
     512: 1
     521: 1
     522: 1
     525: 1
     527: 1
     558: 1

559:   0: q^2+q+1
       1: q^2+q+1
       2: q^2+q+1
       3: 1
       4: q^2+q+1
       5: q^2+q+1
       6: 1
       7: q^2+q+1
       8: q^2+q+1
      10: 1
      11: q^2+q+1
      12: 1
      13: q^4+q^3+2q^2+q+1
      16: 1
      18: 1
      26: q^2+q+1
      27: 1
      28: q^2+q+1
      29: 1
      31: q^2+q+1
      32: 1
      33: q^2+q+1
      34: 1
      36: q^2+q+1
      37: q^2+q+1
      38: 1
      39: 1
      41: 1
      42: 1
      43: 1
      44: q^2+q+1
      46: q^2+q+1
      47: q^2+q+1
      48: q^2+q+1
      49: q^2+q+1
      53: 1
      55: 1
      56: 1
      58: q^2+q+1
      59: q^2+q+1
      60: q^2+q+1
      66: q^2+q+1
      67: 1
      68: q^2+q+1
      69: 1
      71: q^2+q+1
      72: q^2+q+1
      73: 1
      74: 1
      76: 1
      77: 1
      78: q^2+q+1
      79: 1
      81: 1
      82: 1
      83: q^2+q+1
      84: 1
      86: q^2+q+1
      87: q^2+q+1
      88: q^2+q+1
      89: q^2+q+1
      92: 1
      95: 1
      97: 1
      99: 1
     100: 1
     102: q^2+q+1
     103: q^2+q+1
     105: 1
     106: 1
     108: q^2+q+1
     109: q^2+q+1
     110: q^2+q+1
     116: q^2+q+1
     117: q^2+q+1
     118: 1
     119: 1
     121: 1
     122: 1
     123: q^2+q+1
     124: 1
     126: 1
     127: 1
     128: q^2+q+1
     129: 1
     131: 1
     132: 1
     133: q^2+q+1
     134: 1
     139: 1
     140: 1
     142: 1
     145: 1
     146: 1
     148: q^2+q+1
     149: 1
     151: 1
     153: 1
     154: 1
     155: 1
     157: 1
     158: 1
     160: q^2+q+1
     161: q^2+q+1
     167: 1
     168: 1
     169: q^2+q+1
     170: 1
     172: 1
     173: 1
     174: q^2+q+1
     175: 1
     177: 1
     178: 1
     179: q^2+q+1
     180: 1
     182: 1
     183: 1
     184: q^2+q+1
     185: 1
     191: 1
     194: 1
     195: 1
     196: 1
     197: 1
     199: 1
     200: 1
     202: 1
     205: 1
     206: 1
     208: 1
     209: 1
     210: 1
     211: 1
     213: 1
     214: 1
     216: 1
     218: q^2+q+1
     224: 1
     225: 1
     226: q^2+q+1
     227: 1
     229: 1
     230: 1
     231: q^2+q+1
     232: 1
     234: 1
     235: 1
     236: q^2+q+1
     237: 1
     245: 1
     247: 1
     248: 1
     252: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     259: 1
     260: 1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     268: 1
     270: 1
     273: 1
     274: 1
     276: 1
     284: 1
     285: 1
     286: q^2+q+1
     287: 1
     289: 1
     290: 1
     291: q^2+q+1
     292: 1
     297: 1
     307: 1
     309: 1
     310: 1
     311: 1
     312: 1
     313: 1
     314: 1
     316: 1
     318: 1
     320: 1
     322: 1
     326: 1
     327: 1
     328: 1
     329: 1
     330: 1
     331: 1
     332: 1
     334: 1
     337: 1
     338: 1
     339: q^2+q+1
     340: 1
     357: 1
     360: 1
     361: 1
     363: 1
     367: 1
     368: 1
     369: 1
     370: 1
     371: 1
     378: 1
     380: 1
     381: 1
     382: 1
     383: 1
     384: 1
     385: 1
     387: 1
     390: 1
     392: 1
     410: 1
     414: 1
     416: 1
     423: 1
     425: 1
     430: 1
     433: 1
     435: 1
     436: 1
     437: 1
     438: 1
     440: 1
     459: 1
     470: 1
     478: 1
     479: 1
     481: 1
     482: 1
     484: 1
     486: 1
     506: 1
     523: 1
     526: 1
     559: 1

560:   0: q^3+q^2+2q+1
       1: q+1
       2: q^3+q^2+2q+1
       3: q+1
       4: q^3+q^2+2q+1
       5: q+1
       6: 1
       7: q+1
       8: q^3+q^2+2q+1
       9: q+1
      10: 1
      11: q+1
      12: 1
      13: q^4+2q^3+2q^2+2q+1
      14: 1
      15: q+1
      16: 1
      17: 1
      21: q+1
      22: 1
      23: q+1
      24: 1
      26: q+1
      27: 1
      28: q+1
      29: 1
      31: q+1
      32: 1
      33: q+1
      36: q^3+q^2+2q+1
      37: q^3+q^2+2q+1
      38: 1
      39: 1
      40: 1
      41: q+1
      42: 1
      43: 1
      44: q^3+q^2+2q+1
      45: 1
      46: q^3+q^2+2q+1
      47: q+1
      48: q^3+q^2+2q+1
      49: q+1
      50: q+1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: q+1
      58: q+1
      59: q+1
      60: q^3+q^2+2q+1
      61: q+1
      62: 1
      63: q+1
      64: 1
      66: q+1
      67: 1
      68: q+1
      71: q+1
      72: q+1
      73: 1
      76: q+1
      77: 1
      78: q^3+q^2+2q+1
      79: 1
      80: 1
      81: q+1
      82: 1
      83: q^3+q^2+2q+1
      84: 1
      85: 1
      86: q^3+q^2+2q+1
      87: q+1
      88: q^3+q^2+2q+1
      89: q+1
      90: q+1
      93: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: q+1
     101: q+1
     102: q+1
     103: q+1
     104: 1
     105: 1
     106: 1
     107: q+1
     108: q+1
     109: q+1
     110: q^3+q^2+2q+1
     111: q+1
     112: 1
     113: q+1
     116: q+1
     117: q+1
     118: 1
     121: 1
     122: 1
     123: q+1
     126: q+1
     127: 1
     128: q^3+q^2+2q+1
     129: 1
     130: 1
     131: q+1
     132: 1
     133: q^3+q^2+2q+1
     134: 1
     135: 1
     140: 1
     141: 1
     144: 1
     145: 1
     146: 1
     147: q+1
     148: q+1
     149: 1
     150: 1
     151: 1
     152: 1
     153: 1
     154: q+1
     155: q+1
     156: 1
     157: 1
     158: 1
     159: q+1
     160: q+1
     161: q+1
     162: q+1
     163: q+1
     164: 1
     167: 1
     168: 1
     169: q+1
     172: 1
     173: 1
     174: q+1
     177: q+1
     178: 1
     179: q^3+q^2+2q+1
     180: 1
     181: 1
     182: q+1
     183: 1
     184: q^3+q^2+2q+1
     185: 1
     186: 1
     190: 1
     195: 1
     196: 1
     197: 1
     198: q+1
     199: 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: 1
     214: q+1
     215: 1
     216: 1
     217: q+1
     218: q+1
     219: 1
     220: 1
     221: q+1
     224: 1
     225: 1
     226: q+1
     229: q+1
     230: 1
     231: q^3+q^2+2q+1
     232: 1
     233: 1
     234: 1
     235: 1
     236: q+1
     244: 1
     246: 1
     247: 1
     249: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     258: 1
     259: 1
     260: q+1
     261: 1
     262: 1
     263: 1
     264: 1
     265: 1
     268: 1
     269: 1
     270: 1
     271: 1
     272: q+1
     273: q+1
     274: q+1
     276: q+1
     279: 1
     280: 1
     281: q+1
     284: 1
     285: 1
     286: q+1
     289: 1
     290: 1
     291: q+1
     298: 1
     306: 1
     308: 1
     309: 1
     310: q+1
     311: 1
     312: 1
     313: 1
     316: 1
     317: 1
     318: 1
     319: 1
     320: 1
     321: 1
     323: 1
     327: 1
     328: 1
     329: 1
     330: 1
     331: q+1
     332: 1
     334: 1
     337: 1
     338: 1
     339: q+1
     342: 1
     343: 1
     344: q+1
     358: 1
     360: 1
     361: 1
     362: 1
     364: 1
     368: 1
     369: 1
     370: 1
     372: 1
     377: 1
     379: 1
     380: 1
     381: 1
     382: 1
     383: q+1
     384: 1
     385: 1
     387: 1
     390: 1
     392: 1
     395: 1
     396: 1
     397: q+1
     410: 1
     414: 1
     417: 1
     422: 1
     424: 1
     425: 1
     431: 1
     433: 1
     434: 1
     435: 1
     436: 1
     437: 1
     438: 1
     440: 1
     443: 1
     445: 1
     459: 1
     464: 1
     471: 1
     478: 1
     480: 1
     481: 1
     482: 1
     483: 1
     489: 1
     491: 1
     507: 1
     523: 1
     525: 1
     527: 1
     560: 1

561:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+1
       3: q^3+q^2+q+1
       4: q^2+2q+1
       5: q^2+2q+1
       6: q^3+q^2+q+1
       7: q^2+2q+1
       8: q^2+2q+1
       9: q^5+q^2+q+1
      10: q^3+q^2+q+1
      11: q^2+2q+1
      12: q^3+q^2+q+1
      13: q^3+2q^2+2q+1
      14: q^2+1
      15: q+1
      16: q^3+q^2+q+1
      17: q^2+1
      18: q^3+q^2+q+1
      19: q^2+1
      20: q^2+1
      21: q^2+q+1
      22: q^2+1
      23: q+1
      24: q^2+1
      25: q^2+1
      26: q^2+2q+1
      27: q^3+q^2+q+1
      28: q^2+2q+1
      29: q^3+q^2+q+1
      30: q^2+1
      31: q^2+2q+1
      32: q^3+q^2+q+1
      33: q^2+2q+1
      34: q^3+q^2+q+1
      35: q^2+1
      36: q^2+2q+1
      37: q^2+2q+1
      38: q^3+q^2+q+1
      39: q^3+q^2+q+1
      40: q^2+1
      41: q^2+q+1
      42: q^2+q+1
      43: q^2+q+1
      44: q^2+2q+1
      45: q^2+1
      46: 2q+1
      47: 2q+1
      48: 2q+1
      49: 2q+1
      50: q+1
      51: q^2+1
      52: q^2+1
      53: q^3+q^2+q+1
      54: q^2+1
      55: q^2+q+1
      56: q^2+q+1
      57: q+1
      58: 2q+1
      59: 2q+1
      60: 2q+1
      61: q^2+q+1
      62: q^2+1
      63: q+1
      64: q^2+1
      65: q^2+1
      66: q^2+2q+1
      67: q^3+q^2+q+1
      68: q^2+2q+1
      69: q^3+q^2+q+1
      70: q^2+1
      71: q^2+2q+1
      72: q^2+2q+1
      73: q^3+q^2+q+1
      74: q^3+q^2+q+1
      75: q^2+1
      76: q^2+q+1
      77: q^2+q+1
      78: q^2+2q+1
      79: q^2+q+1
      80: q^2+1
      81: q+1
      82: q+1
      83: 2q+1
      84: q+1
      85: 1
      86: 2q+1
      87: 2q+1
      88: 2q+1
      89: 2q+1
      90: q+1
      91: q^2+1
      92: q^3+q^2+q+1
      93: q^2+1
      94: q^2+1
      95: q^2+q+1
      96: q^2+1
      97: q^2+q+1
      98: q^2+1
      99: q^2+q+1
     100: q+1
     101: q+1
     102: 2q+1
     103: 2q+1
     104: 1
     105: q+1
     106: q+1
     107: q+1
     108: 2q+1
     109: 2q+1
     110: 2q+1
     111: q^2+q+1
     112: q^2+1
     113: q+1
     114: q^2+1
     115: q^2+1
     116: q^2+2q+1
     117: q^2+2q+1
     118: q^3+q^2+q+1
     119: q^3+q^2+q+1
     120: q^2+1
     121: q^2+q+1
     122: q^2+q+1
     123: q^2+2q+1
     124: q^2+q+1
     125: q^2+1
     126: q+1
     127: q+1
     128: 2q+1
     129: q+1
     130: 1
     131: q+1
     132: q+1
     133: 2q+1
     134: q+1
     135: 1
     136: q^2+1
     137: q^2+1
     138: q^2+1
     139: q^3+q^2+q+1
     140: q^2+q+1
     141: q^2+1
     142: q^2+q+1
     143: q^2+1
     144: q^2+1
     145: q^2+q+1
     146: q+1
     147: q+1
     148: 2q+1
     149: q+1
     150: 1
     151: q+1
     152: 1
     153: q+1
     154: q+1
     155: q+1
     156: 1
     157: q+1
     158: q+1
     159: q+1
     160: 2q+1
     161: 2q+1
     162: q^2+q+1
     163: q+1
     164: q^2+1
     165: q^2+1
     166: q^2+1
     167: q^2+q+1
     168: q^2+q+1
     169: q^2+2q+1
     170: q^2+q+1
     171: q^2+1
     172: q+1
     173: q+1
     174: 2q+1
     175: q+1
     176: 1
     177: 1
     178: 1
     179: q+1
     180: 1
     181: 1
     182: q+1
     183: q+1
     184: 2q+1
     185: q+1
     186: 1
     187: q^2+1
     188: q^2+1
     189: q^2+1
     190: q^2+1
     191: q^2+q+1
     192: q^2+1
     193: q^2+1
     194: q^2+q+1
     195: q^2+q+1
     196: q+1
     197: q+1
     198: q+1
     199: q+1
     200: q+1
     201: 1
     202: q+1
     203: 1
     204: 1
     205: q+1
     206: 1
     207: 1
     208: 1
     209: 1
     210: q+1
     211: q+1
     212: 1
     213: q+1
     214: q+1
     215: 1
     216: q+1
     217: q+1
     218: 2q+1
     219: 1
     220: 1
     221: q+1
     222: 1
     223: 1
     224: q+1
     225: q+1
     226: 2q+1
     227: q+1
     228: 1
     229: 1
     230: 1
     231: q+1
     232: 1
     233: 1
     234: q+1
     235: q+1
     236: 2q+1
     237: q+1
     238: 1
     239: q^2+1
     240: q^2+1
     241: q^2+1
     242: 1
     243: 1
     244: 1
     245: q^2+q+1
     246: 1
     247: q+1
     248: q+1
     249: 1
     250: 1
     251: 1
     252: q+1
     253: q+1
     254: q+1
     255: q+1
     256: 1
     257: 1
     258: 1
     259: 1
     260: 1
     261: 1
     262: 1
     263: q+1
     264: q+1
     265: q+1
     266: q+1
     267: 1
     268: q+1
     269: 1
     270: q+1
     271: 1
     272: q+1
     273: 1
     279: 1
     280: 1
     281: q+1
     282: 1
     283: 1
     284: 1
     285: 1
     286: q+1
     287: 1
     288: 1
     289: q+1
     290: q+1
     291: 2q+1
     292: q+1
     293: 1
     294: q^2+1
     295: 1
     296: 1
     297: q+1
     298: 1
     302: 1
     303: 1
     304: 1
     305: 1
     306: 1
     307: q+1
     308: 1
     309: q+1
     311: 1
     312: 1
     313: 1
     314: 1
     315: 1
     316: 1
     317: 1
     318: 1
     319: 1
     320: q+1
     321: 1
     322: q+1
     323: 1
     324: 1
     325: 1
     326: q+1
     327: q+1
     328: q+1
     329: q+1
     330: 1
     331: 1
     337: 1
     338: 1
     339: q+1
     340: 1
     341: 1
     342: 1
     343: 1
     344: q+1
     345: 1
     346: 1
     347: 1
     348: 1
     354: 1
     355: 1
     356: 1
     357: q+1
     358: 1
     361: 1
     362: 1
     363: 1
     364: 1
     365: 1
     366: 1
     367: 1
     368: 1
     369: 1
     370: 1
     371: q+1
     372: 1
     373: 1
     374: 1
     375: 1
     376: 1
     377: 1
     378: q+1
     379: 1
     380: q+1
     381: 1
     382: 1
     384: 1
     403: 1
     411: 1
     412: 1
     416: 1
     417: 1
     418: 1
     419: 1
     423: 1
     425: 1
     426: 1
     427: 1
     428: 1
     429: 1
     430: q+1
     431: 1
     433: 1
     434: 1
     436: 1
     437: 1
     460: 1
     466: 1
     467: 1
     470: 1
     473: 1
     474: 1
     475: 1
     479: 1
     480: 1
     482: 1
     513: 1
     518: 1
     524: 1
     526: 1
     561: 1

562:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+1
       3: q^4+q^3+q+1
       4: q^2+2q+1
       5: q+1
       6: q^4+q^3+q+1
       7: q^2+2q+1
       8: q^2+2q+1
       9: q+1
      10: q^3+1
      11: q+1
      12: q^4+q^3+q+1
      13: q^4+2q^3+2q^2+2q+1
      14: q^3+1
      15: q+1
      16: q^3+1
      17: q^3+1
      18: q^3+1
      19: q^3+1
      21: q+1
      22: q^3+1
      23: q+1
      24: q^3+1
      25: q^3+1
      26: q+1
      27: q^3+1
      28: q+1
      29: q^3+1
      31: q^2+2q+1
      32: q^4+q^3+q+1
      33: q^2+2q+1
      34: q^3+1
      35: q^3+1
      36: q^2+2q+1
      37: q^2+2q+1
      38: q^4+q^3+q+1
      39: q^3+1
      40: q^3+1
      41: q+1
      42: q+1
      43: 1
      44: q^2+2q+1
      45: 1
      46: q^2+2q+1
      47: q^2+2q+1
      48: q^2+2q+1
      49: q+1
      50: q+1
      51: q^3+1
      52: q^3+1
      53: q^3+1
      54: 1
      55: 1
      56: q+1
      57: q+1
      58: q+1
      59: q^2+2q+1
      60: q^2+2q+1
      61: q+1
      62: q^3+1
      63: q+1
      64: q^3+1
      66: q+1
      67: q^3+1
      68: q+1
      69: q^3+1
      71: q^2+2q+1
      72: q^2+2q+1
      73: q^4+q^3+q+1
      74: q^3+1
      75: q^3+1
      76: q+1
      77: q+1
      78: q^2+2q+1
      79: 1
      80: 1
      81: q+1
      82: q+1
      83: q^2+2q+1
      84: 1
      85: 1
      86: q^2+2q+1
      87: q^2+2q+1
      88: q^2+2q+1
      89: q+1
      90: q+1
      92: q^3+1
      93: q^3+1
      94: q^3+1
      95: q+1
      96: 1
      97: 1
      98: 1
      99: 1
     100: q+1
     101: q+1
     102: q+1
     103: q^2+2q+1
     104: 1
     105: 1
     106: q+1
     107: q+1
     108: q+1
     109: q^2+2q+1
     110: q^2+2q+1
     111: q+1
     112: q^3+1
     113: q+1
     114: q^3+1
     116: q+1
     117: q+1
     118: q^3+1
     119: q^3+1
     121: q+1
     122: q+1
     123: q^2+2q+1
     124: 1
     125: 1
     126: q+1
     127: q+1
     128: q^2+2q+1
     129: 1
     130: 1
     131: q+1
     132: q+1
     133: q^2+2q+1
     134: 1
     135: 1
     137: q^3+1
     139: q^3+1
     140: 1
     141: 1
     142: 1
     143: 1
     144: 1
     145: q+1
     146: q+1
     147: q+1
     148: q+1
     149: q+1
     150: 1
     151: 1
     152: 1
     153: 1
     154: q+1
     155: q+1
     156: 1
     157: 1
     158: q+1
     159: q+1
     160: q+1
     161: q^2+2q+1
     162: q+1
     163: q+1
     164: q^3+1
     165: q^3+1
     167: 1
     168: 1
     169: q+1
     170: 1
     172: q+1
     173: q+1
     174: q^2+2q+1
     175: 1
     176: 1
     177: q+1
     178: q+1
     179: q^2+2q+1
     180: 1
     181: 1
     182: q+1
     183: q+1
     184: q^2+2q+1
     185: 1
     186: 1
     189: q^3+1
     190: 1
     191: 1
     192: 1
     194: 1
     195: 1
     196: 1
     197: q+1
     198: q+1
     199: 1
     200: 1
     201: 1
     202: q+1
     203: 1
     204: 1
     205: q+1
     206: q+1
     207: 1
     208: 1
     209: q+1
     210: q+1
     211: q+1
     212: 1
     213: 1
     214: q+1
     215: 1
     216: 1
     217: q+1
     218: q+1
     219: 1
     220: 1
     221: q+1
     222: 1
     224: 1
     225: 1
     226: q+1
     227: 1
     229: q+1
     230: q+1
     231: q^2+2q+1
     232: 1
     233: 1
     234: q+1
     235: q+1
     236: q^2+2q+1
     237: 1
     238: 1
     240: 1
     243: 1
     244: 1
     245: 1
     246: 1
     247: 1
     248: 1
     249: 1
     250: 1
     252: 1
     253: 1
     254: 1
     255: q+1
     256: q+1
     257: q+1
     258: 1
     259: 1
     260: q+1
     261: 1
     262: 1
     263: q+1
     264: 1
     265: 1
     266: 1
     267: 1
     268: q+1
     269: 1
     270: q+1
     271: 1
     272: q+1
     273: q+1
     279: 1
     280: 1
     281: q+1
     282: 1
     284: q+1
     285: q+1
     286: q^2+2q+1
     287: 1
     288: 1
     289: 1
     290: 1
     291: q+1
     292: 1
     296: 1
     297: 1
     298: 1
     302: 1
     305: 1
     306: 1
     307: 1
     308: 1
     309: 1
     311: q+1
     312: 1
     313: 1
     314: 1
     315: 1
     316: q+1
     317: 1
     318: q+1
     319: 1
     320: 1
     321: 1
     322: 1
     323: 1
     324: 1
     326: 1
     327: 1
     328: 1
     329: q+1
     330: q+1
     331: q+1
     337: 1
     338: 1
     339: q+1
     340: 1
     342: 1
     343: 1
     344: q+1
     345: 1
     348: 1
     356: 1
     357: 1
     358: 1
     361: 1
     362: 1
     363: 1
     364: 1
     365: 1
     367: 1
     368: 1
     369: 1
     370: q+1
     371: 1
     372: 1
     373: 1
     376: 1
     377: 1
     378: 1
     379: 1
     380: 1
     381: q+1
     382: 1
     384: q+1
     395: 1
     396: 1
     397: q+1
     398: 1
     412: 1
     416: 1
     417: 1
     418: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     426: 1
     429: 1
     430: 1
     431: 1
     433: 1
     434: 1
     436: q+1
     437: 1
     466: 1
     469: 1
     470: 1
     471: 1
     475: 1
     479: 1
     480: 1
     482: 1
     483: 1
     515: 1
     524: 1
     526: 1
     527: 1
     562: 1

563:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+1
       3: q+1
       4: q+1
       5: q^2+2q+1
       6: q+1
       7: q+1
       8: q+1
       9: q^2+2q+1
      10: q+1
      11: q+1
      12: q+1
      13: q^2+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^2+2q+1
      22: q+1
      23: q+1
      24: q+1
      25: q+1
      26: q^2+2q+1
      27: q+1
      28: q+1
      29: q+1
      30: q+1
      31: q^2+2q+1
      32: q+1
      33: q+1
      34: q+1
      35: q+1
      36: q^2+2q+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^2+2q+1
      62: q+1
      63: q+1
      64: q+1
      65: q+1
      66: q^2+2q+1
      67: q+1
      68: q+1
      69: q+1
      70: q+1
      71: q^2+2q+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: q+1
      84: 1
      85: 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: 1
     101: q+1
     102: q+1
     103: q+1
     104: 1
     105: 1
     106: 1
     107: q+1
     108: q+1
     109: q+1
     110: q+1
     111: q^2+2q+1
     112: q+1
     113: q+1
     114: q+1
     115: q+1
     116: q^2+2q+1
     117: q+1
     118: q+1
     119: q+1
     120: q+1
     121: q+1
     122: q+1
     123: q+1
     124: q+1
     125: q+1
     126: 1
     127: 1
     128: q+1
     129: 1
     130: 1
     131: 1
     132: 1
     133: q+1
     134: 1
     135: 1
     136: q+1
     137: q+1
     138: q+1
     139: q+1
     140: q+1
     141: q+1
     142: q+1
     143: q+1
     144: q+1
     145: q+1
     146: 1
     147: q+1
     148: q+1
     149: 1
     150: 1
     151: 1
     152: 1
     153: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     159: q+1
     160: q+1
     161: q+1
     162: q^2+2q+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: q+1
     172: 1
     173: 1
     174: q+1
     175: 1
     176: 1
     177: 1
     178: 1
     180: 1
     181: 1
     182: 1
     183: 1
     184: q+1
     185: 1
     186: 1
     187: q+1
     188: q+1
     189: q+1
     190: q+1
     191: q+1
     192: q+1
     193: q+1
     194: q+1
     195: q+1
     196: 1
     197: 1
     198: q+1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 1
     207: 1
     208: 1
     209: 1
     210: 1
     211: 1
     212: 1
     213: 1
     214: 1
     215: 1
     216: 1
     217: q+1
     218: q+1
     219: q+1
     220: q+1
     221: q+1
     222: q+1
     223: q+1
     224: 1
     225: 1
     226: q+1
     227: 1
     228: 1
     229: 1
     230: 1
     232: 1
     233: 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: q+1
     246: 1
     247: 1
     248: 1
     249: 1
     250: 1
     251: 1
     252: 1
     253: 1
     254: 1
     255: 1
     257: 1
     258: 1
     259: 1
     261: 1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     267: 1
     268: 1
     269: 1
     270: 1
     271: 1
     272: q+1
     274: 1
     279: 1
     280: 1
     281: q+1
     282: 1
     283: 1
     284: 1
     285: 1
     287: 1
     288: 1
     289: 1
     290: 1
     291: q+1
     292: 1
     293: 1
     294: q+1
     295: q+1
     296: q+1
     297: 1
     298: 1
     302: 1
     303: 1
     304: 1
     305: 1
     306: 1
     307: 1
     308: 1
     309: 1
     313: 1
     314: 1
     315: 1
     316: 1
     317: 1
     319: 1
     320: 1
     321: 1
     322: 1
     323: 1
     324: 1
     325: 1
     326: 1
     327: 1
     328: 1
     329: 1
     332: 1
     337: 1
     338: 1
     340: 1
     341: 1
     342: 1
     343: 1
     344: q+1
     345: 1
     346: 1
     347: q+1
     348: 1
     354: 1
     355: 1
     356: 1
     357: 1
     358: 1
     363: 1
     364: 1
     365: 1
     366: 1
     367: 1
     368: 1
     371: 1
     372: 1
     373: 1
     374: 1
     375: 1
     376: 1
     377: 1
     378: 1
     379: 1
     380: 1
     385: 1
     390: 1
     395: 1
     396: 1
     398: 1
     399: 1
     403: 1
     411: 1
     412: 1
     418: 1
     419: 1
     420: 1
     421: 1
     422: 1
     423: 1
     426: 1
     427: 1
     428: 1
     429: 1
     430: 1
     431: 1
     438: 1
     443: 1
     460: 1
     467: 1
     468: 1
     469: 1
     473: 1
     474: 1
     475: 1
     484: 1
     489: 1
     514: 1
     518: 1
     528: 1
     563: 1

564:   0: q+1
       1: q+1
       2: q^2+q+1
       3: q^2+2q+1
       4: q+1
       5: q+1
       6: q^2+2q+1
       7: q+1
       8: q^2+q+1
       9: q+1
      10: q^2+2q+1
      11: q+1
      12: q+1
      14: q^2+2q+1
      15: q+1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      20: q+1
      21: q+1
      22: q^2+2q+1
      23: q+1
      24: q+1
      25: q+1
      26: q+1
      27: q^2+2q+1
      28: q+1
      29: q+1
      30: q+1
      31: q+1
      32: q^2+2q+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
      45: q+1
      46: q+1
      47: q+1
      48: q^2+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^2+2q+1
      63: q+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: q+1
      76: q+1
      77: 1
      79: 1
      80: 1
      81: q+1
      82: q+1
      84: q+1
      85: q+1
      86: q+1
      87: q+1
      88: q^2+q+1
      89: q+1
      90: q+1
      91: q+1
      92: q+1
      93: q+1
      94: q+1
      95: 1
      96: q+1
      97: q+1
      98: 1
      99: 1
     101: q+1
     102: q+1
     103: q+1
     104: q+1
     105: q+1
     106: q+1
     107: q+1
     108: q+1
     109: q+1
     110: q+1
     111: q+1
     112: q^2+2q+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: 1
     124: 1
     125: 1
     126: q+1
     127: 1
     129: 1
     130: 1
     131: q+1
     132: q+1
     134: q+1
     135: q+1
     136: q+1
     137: q+1
     138: q+1
     139: q+1
     140: 1
     141: q+1
     142: 1
     143: 1
     144: 1
     145: 1
     147: q+1
     148: q+1
     149: 1
     150: 1
     151: 1
     152: q+1
     153: q+1
     156: q+1
     157: q+1
     158: q+1
     159: q+1
     160: q+1
     161: q+1
     162: q+1
     163: q+1
     164: q+1
     165: q+1
     166: q+1
     167: q+1
     168: 1
     170: 1
     171: 1
     172: q+1
     173: 1
     175: 1
     176: 1
     177: q+1
     178: q+1
     180: q+1
     181: q+1
     182: q+1
     183: 1
     185: 1
     186: 1
     187: q+1
     188: q+1
     189: q+1
     190: 1
     191: 1
     192: 1
     193: 1
     194: 1
     195: 1
     198: q+1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: q+1
     207: q+1
     208: q+1
     209: q+1
     211: 1
     212: 1
     213: 1
     215: q+1
     216: q+1
     217: q+1
     218: q+1
     219: q+1
     220: 1
     222: 1
     223: 1
     224: q+1
     225: 1
     227: 1
     228: 1
     229: q+1
     230: 1
     232: 1
     233: 1
     234: q+1
     235: 1
     237: 1
     238: 1
     239: q+1
     240: 1
     241: 1
     242: 1
     243: 1
     244: 1
     245: 1
     248: 1
     249: 1
     250: 1
     251: 1
     252: 1
     253: 1
     257: 1
     258: 1
     259: 1
     261: q+1
     262: q+1
     265: 1
     266: 1
     267: 1
     268: 1
     269: 1
     271: q+1
     272: q+1
     275: 1
     277: 1
     278: 1
     279: q+1
     280: 1
     282: 1
     283: 1
     284: q+1
     285: 1
     287: 1
     288: 1
     289: q+1
     290: 1
     292: 1
     293: 1
     294: 1
     295: 1
     296: 1
     300: 1
     301: 1
     302: 1
     303: 1
     304: 1
     305: 1
     306: 1
     307: 1
     313: 1
     314: 1
     315: 1
     316: 1
     317: 1
     319: q+1
     322: 1
     323: 1
     324: 1
     325: 1
     326: 1
     327: 1
     333: 1
     335: 1
     336: 1
     337: q+1
     338: 1
     340: 1
     341: 1
     342: q+1
     343: 1
     345: 1
     346: 1
     347: 1
     350: 1
     351: 1
     353: 1
     354: 1
     355: 1
     356: 1
     363: 1
     364: 1
     365: 1
     366: 1
     367: 1
     368: 1
     373: 1
     374: 1
     375: 1
     376: 1
     377: 1
     378: 1
     386: 1
     391: 1
     393: 1
     394: 1
     395: q+1
     396: 1
     398: 1
     399: 1
     406: 1
     407: 1
     408: 1
     411: 1
     418: 1
     419: 1
     420: 1
     421: 1
     422: 1
     423: 1
     427: 1
     428: 1
     429: 1
     439: 1
     444: 1
     446: 1
     447: 1
     454: 1
     455: 1
     456: 1
     467: 1
     468: 1
     469: 1
     474: 1
     485: 1
     490: 1
     504: 1
     514: 1
     529: 1
     564: 1

565:   0: 1
       1: 1
       2: 1
       3: 1
       4: q^2+q+1
       5: 1
       6: 1
       7: q^2+q+1
       8: q^2+q+1
       9: 1
      10: 1
      11: q^2+q+1
      12: 1
      13: q^2+q+1
      14: 1
      15: q^2+q+1
      16: 1
      17: 1
      18: 1
      19: 1
      20: 1
      21: 1
      22: 1
      23: q^2+q+1
      24: 1
      25: 1
      26: 1
      27: 1
      28: q^2+q+1
      29: 1
      30: 1
      31: 1
      32: 1
      33: q^2+q+1
      34: 1
      35: 1
      36: 1
      37: q^2+q+1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: q^2+q+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: q^2+q+1
      64: 1
      65: 1
      66: 1
      67: 1
      68: q^2+q+1
      69: 1
      70: 1
      71: 1
      72: q^2+q+1
      73: 1
      74: 1
      75: 1
      76: 1
      77: 1
      78: q^2+q+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: q^2+q+1
     114: 1
     115: 1
     116: 1
     117: q^2+q+1
     118: 1
     119: 1
     120: 1
     121: 1
     122: 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: 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: q^2+q+1
     164: 1
     165: 1
     166: 1
     167: 1
     168: 1
     169: q^2+q+1
     170: 1
     171: 1
     172: 1
     173: 1
     174: 1
     175: 1
     176: 1
     179: 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
     210: 1
     211: 1
     212: 1
     213: 1
     214: 1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: q^2+q+1
     222: 1
     223: 1
     224: 1
     225: 1
     226: 1
     227: 1
     228: 1
     231: 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
     263: 1
     264: 1
     265: 1
     266: 1
     267: 1
     268: 1
     269: 1
     270: 1
     271: 1
     272: 1
     276: 1
     279: 1
     280: 1
     281: 1
     282: 1
     283: 1
     286: 1
     289: 1
     290: 1
     291: 1
     292: 1
     293: 1
     294: 1
     295: 1
     296: 1
     297: 1
     298: 1
     302: 1
     303: 1
     304: 1
     305: 1
     306: 1
     307: 1
     308: 1
     309: 1
     320: 1
     321: 1
     322: 1
     323: 1
     324: 1
     325: 1
     326: 1
     327: 1
     328: 1
     329: 1
     334: 1
     339: 1
     342: 1
     343: 1
     344: 1
     345: 1
     346: 1
     347: 1
     348: 1
     354: 1
     355: 1
     356: 1
     357: 1
     358: 1
     371: 1
     372: 1
     373: 1
     374: 1
     375: 1
     376: 1
     377: 1
     378: 1
     379: 1
     380: 1
     387: 1
     392: 1
     397: 1
     403: 1
     411: 1
     412: 1
     426: 1
     427: 1
     428: 1
     429: 1
     430: 1
     431: 1
     440: 1
     445: 1
     460: 1
     473: 1
     474: 1
     475: 1
     486: 1
     491: 1
     518: 1
     530: 1
     565: 1

566:   0: q^2+q+1
       1: q+1
       3: q^2+q+1
       4: q^2+q+1
       5: q+1
       6: q+1
       7: q+1
       9: q+1
      10: q+1
      11: q+1
      12: q^2+2q+1
      14: q+1
      15: q+1
      16: q^2+2q+1
      17: q^2+2q+1
      18: q+1
      19: q+1
      20: q+1
      21: q+1
      22: q+1
      23: q+1
      24: q^2+2q+1
      25: q+1
      26: q+1
      27: q+1
      28: q+1
      29: q^2+2q+1
      30: q+1
      31: q+1
      32: q+1
      33: q+1
      34: q+1
      35: q+1
      38: q+1
      39: q+1
      40: q+1
      41: q^2+q+1
      42: q+1
      43: q+1
      45: q+1
      46: q^2+q+1
      47: 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
      61: q+1
      62: q+1
      63: q+1
      64: q^2+2q+1
      65: q+1
      66: q+1
      67: q+1
      68: q+1
      69: q+1
      70: q+1
      73: q+1
      74: 1
      75: 1
      77: q+1
      79: q+1
      80: q+1
      81: q^2+q+1
      82: q+1
      84: q+1
      85: q+1
      86: q^2+q+1
      87: q+1
      89: q+1
      90: q+1
      91: q+1
      92: 1
      93: q+1
      94: 1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     101: q+1
     102: q+1
     104: q+1
     105: q+1
     106: q+1
     107: q+1
     108: q+1
     109: q+1
     111: q+1
     112: q+1
     113: q+1
     114: q+1
     115: q+1
     118: q+1
     119: 1
     120: 1
     122: q+1
     124: 1
     125: 1
     127: q+1
     129: q+1
     130: q+1
     131: q^2+q+1
     132: q+1
     134: q+1
     135: q+1
     136: q+1
     137: 1
     138: 1
     139: 1
     141: q+1
     142: 1
     143: 1
     144: q+1
     147: q+1
     150: q+1
     151: q+1
     152: q+1
     153: q+1
     156: q+1
     157: q+1
     158: q+1
     159: q+1
     160: q+1
     164: q+1
     165: 1
     166: 1
     168: q+1
     170: 1
     171: 1
     173: q+1
     175: 1
     176: 1
     177: q^2+q+1
     178: q+1
     180: q+1
     181: q+1
     183: q+1
     185: q+1
     186: q+1
     187: 1
     188: 1
     189: 1
     192: 1
     193: 1
     194: 1
     200: 1
     201: 1
     203: q+1
     204: q+1
     207: q+1
     208: q+1
     209: q+1
     212: q+1
     213: q+1
     215: q+1
     216: q+1
     217: q+1
     220: q+1
     222: 1
     223: 1
     225: q+1
     227: 1
     228: 1
     230: q+1
     232: q+1
     233: q+1
     235: q+1
     237: 1
     238: 1
     239: 1
     241: 1
     242: 1
     243: 1
     250: 1
     251: 1
     252: 1
     258: q+1
     259: q+1
     261: q+1
     262: q+1
     266: 1
     267: 1
     269: q+1
     271: q+1
     275: q+1
     277: q+1
     278: q+1
     280: q+1
     282: 1
     283: 1
     285: q+1
     287: 1
     288: 1
     290: q+1
     292: 1
     293: 1
     295: 1
     300: q+1
     301: q+1
     303: 1
     304: 1
     305: 1
     314: 1
     315: 1
     317: q+1
     319: q+1
     324: 1
     325: 1
     326: 1
     333: q+1
     335: 1
     336: 1
     338: q+1
     340: 1
     341: 1
     343: q+1
     345: 1
     346: 1
     350: 1
     351: 1
     353: q+1
     355: 1
     365: 1
     366: 1
     367: 1
     374: 1
     375: 1
     376: 1
     388: 1
     389: 1
     391: q+1
     393: 1
     394: 1
     396: q+1
     398: 1
     399: 1
     401: 1
     406: 1
     407: 1
     408: 1
     419: 1
     420: 1
     421: 1
     428: 1
     441: 1
     442: 1
     444: q+1
     446: 1
     447: 1
     449: 1
     454: 1
     455: 1
     456: 1
     468: 1
     487: 1
     492: 1
     493: 1
     497: 1
     504: 1
     531: 1
     566: 1

567:   1: 1
       5: 1
       6: 1
       7: 1
       9: 1
      10: 1
      11: 1
      12: 1
      14: 1
      15: 1
      16: 1
      17: 1
      18: q+1
      19: q+1
      20: q+1
      21: 1
      22: 1
      23: 1
      24: 1
      25: q+1
      26: 1
      27: 1
      28: 1
      29: 1
      30: q+1
      34: 1
      35: 1
      38: 1
      39: 1
      40: 1
      42: 1
      43: 1
      45: 1
      47: 1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      57: 1
      58: 1
      61: 1
      62: 1
      63: 1
      64: 1
      65: q+1
      69: 1
      70: 1
      74: 1
      75: 1
      77: 1
      79: 1
      80: 1
      82: 1
      84: 1
      85: 1
      87: 1
      89: 1
      90: 1
      91: 1
      93: 1
      94: 1
      96: 1
      98: 1
      99: 1
     101: 1
     104: 1
     105: 1
     107: 1
     108: 1
     114: 1
     115: 1
     119: 1
     120: 1
     124: 1
     125: 1
     127: 1
     129: 1
     130: 1
     132: 1
     134: 1
     135: 1
     136: 1
     138: 1
     143: 1
     144: 1
     150: 1
     151: 1
     152: 1
     156: 1
     157: 1
     159: 1
     165: 1
     166: 1
     170: 1
     171: 1
     175: 1
     176: 1
     178: 1
     180: 1
     181: 1
     183: 1
     185: 1
     186: 1
     188: 1
     193: 1
     201: 1
     203: 1
     207: 1
     208: 1
     212: 1
     213: 1
     215: 1
     222: 1
     223: 1
     227: 1
     228: 1
     230: 1
     232: 1
     233: 1
     237: 1
     238: 1
     242: 1
     251: 1
     258: 1
     259: 1
     261: 1
     267: 1
     269: 1
     275: 1
     277: 1
     278: 1
     282: 1
     283: 1
     287: 1
     288: 1
     292: 1
     293: 1
     300: 1
     301: 1
     304: 1
     315: 1
     317: 1
     325: 1
     335: 1
     336: 1
     340: 1
     341: 1
     345: 1
     346: 1
     351: 1
     353: 1
     366: 1
     375: 1
     388: 1
     389: 1
     393: 1
     394: 1
     398: 1
     399: 1
     401: 1
     407: 1
     420: 1
     441: 1
     442: 1
     446: 1
     447: 1
     449: 1
     455: 1
     488: 1
     492: 1
     493: 1
     497: 1
     532: 1
     567: 1

568:   0: 1
       1: 1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
       9: 1
      10: 1
      11: 1
      12: q+1
      14: 1
      15: 1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      20: q+1
      21: 1
      22: 1
      23: 1
      24: q+1
      25: q+1
      26: 1
      27: 1
      28: 1
      29: q+1
      30: q+1
      31: 1
      32: 1
      33: 1
      34: q+1
      35: q+1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      45: 1
      46: 1
      47: 1
      49: 1
      50: 1
      51: q+1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      61: 1
      62: 1
      63: 1
      64: q+1
      65: q+1
      66: 1
      67: 1
      68: 1
      69: q+1
      70: q+1
      73: 1
      74: 1
      75: 1
      77: 1
      79: 1
      80: 1
      81: 1
      82: 1
      84: 1
      85: 1
      86: 1
      87: 1
      89: 1
      90: 1
      91: q+1
      92: 1
      93: 1
      94: 1
      96: 1
      97: 1
      98: 1
      99: 1
     101: 1
     102: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: 1
     109: 1
     111: 1
     112: 1
     113: 1
     114: q+1
     115: q+1
     118: 1
     119: 1
     120: 1
     122: 1
     124: 1
     125: 1
     127: 1
     129: 1
     130: 1
     131: 1
     132: 1
     134: 1
     135: 1
     136: q+1
     137: 1
     138: 1
     139: 1
     141: 1
     142: 1
     143: 1
     144: 1
     147: 1
     150: 1
     151: 1
     152: 1
     153: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     164: 1
     165: 1
     166: 1
     168: 1
     170: 1
     171: 1
     173: 1
     175: 1
     176: 1
     177: 1
     178: 1
     180: 1
     181: 1
     183: 1
     185: 1
     186: 1
     187: 1
     188: 1
     189: 1
     192: 1
     193: 1
     194: 1
     200: 1
     201: 1
     203: 1
     204: 1
     207: 1
     208: 1
     209: 1
     212: 1
     213: 1
     215: 1
     216: 1
     217: 1
     220: 1
     222: 1
     223: 1
     225: 1
     227: 1
     228: 1
     230: 1
     232: 1
     233: 1
     235: 1
     237: 1
     238: 1
     239: 1
     241: 1
     242: 1
     243: 1
     250: 1
     251: 1
     252: 1
     258: 1
     259: 1
     261: 1
     262: 1
     266: 1
     267: 1
     269: 1
     271: 1
     275: 1
     277: 1
     278: 1
     280: 1
     282: 1
     283: 1
     285: 1
     287: 1
     288: 1
     290: 1
     292: 1
     293: 1
     295: 1
     300: 1
     301: 1
     303: 1
     304: 1
     305: 1
     314: 1
     315: 1
     317: 1
     319: 1
     324: 1
     325: 1
     326: 1
     333: 1
     335: 1
     336: 1
     338: 1
     340: 1
     341: 1
     343: 1
     345: 1
     346: 1
     350: 1
     351: 1
     353: 1
     355: 1
     365: 1
     366: 1
     367: 1
     374: 1
     375: 1
     376: 1
     388: 1
     389: 1
     391: 1
     393: 1
     394: 1
     396: 1
     398: 1
     399: 1
     401: 1
     406: 1
     407: 1
     408: 1
     419: 1
     420: 1
     421: 1
     428: 1
     441: 1
     442: 1
     444: 1
     446: 1
     447: 1
     449: 1
     454: 1
     455: 1
     456: 1
     468: 1
     487: 1
     488: 1
     492: 1
     493: 1
     494: 1
     497: 1
     504: 1
     531: 1
     532: 1
     533: 1
     566: 1
     567: 1
     568: 1

569:   0: q^2+q+1
       1: q+1
       2: q^2+q+1
       3: q^3+2q^2+2q+1
       4: q^2+q+1
       5: q+1
       6: q^2+2q+1
       7: q+1
       8: q^2+q+1
       9: q+1
      10: q^2+2q+1
      11: q+1
      12: q^2+2q+1
      14: q^2+2q+1
      15: q+1
      16: q^2+2q+1
      17: q^2+2q+1
      18: q+1
      19: q+1
      20: q+1
      21: q+1
      22: q^2+2q+1
      23: q+1
      24: q^2+2q+1
      25: q+1
      26: q+1
      27: q^2+2q+1
      28: q+1
      29: q^2+2q+1
      30: q+1
      31: q+1
      32: q^2+2q+1
      33: q+1
      34: q+1
      35: q+1
      36: q^2+q+1
      37: q^2+q+1
      38: q^2+2q+1
      39: q^2+2q+1
      40: q^2+2q+1
      41: q^2+q+1
      42: q+1
      43: q+1
      45: q+1
      46: q^2+q+1
      47: q+1
      48: q^2+q+1
      49: q+1
      50: q+1
      51: q+1
      52: q^2+2q+1
      53: q^2+2q+1
      54: q+1
      55: q+1
      56: q+1
      57: q+1
      58: q+1
      59: q+1
      60: q^2+q+1
      61: q+1
      62: q^2+2q+1
      63: q+1
      64: q^2+2q+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^2+2q+1
      74: q+1
      75: q+1
      76: q^2+q+1
      77: q+1
      79: q+1
      80: q+1
      81: q^2+q+1
      82: q+1
      84: q+1
      85: q+1
      86: q^2+q+1
      87: q+1
      88: q^2+q+1
      89: q+1
      90: q+1
      91: q+1
      92: q+1
      93: q^2+2q+1
      94: q+1
      95: q+1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     101: q+1
     102: q+1
     103: q+1
     104: q+1
     105: q+1
     106: q+1
     107: q+1
     108: q+1
     109: q+1
     110: q^2+q+1
     111: q+1
     112: q^2+2q+1
     113: q+1
     114: q+1
     115: q+1
     116: q+1
     117: q+1
     118: q^2+2q+1
     119: q+1
     120: q+1
     121: q+1
     122: q+1
     124: 1
     125: 1
     126: q^2+q+1
     127: q+1
     129: q+1
     130: q+1
     131: q^2+q+1
     132: q+1
     134: q+1
     135: q+1
     136: q+1
     137: q+1
     138: q+1
     139: q+1
     140: q+1
     141: q+1
     142: 1
     143: 1
     144: q+1
     145: q+1
     147: q+1
     148: q+1
     149: q+1
     150: q+1
     151: q+1
     152: q+1
     153: q+1
     156: q+1
     157: q+1
     158: q+1
     159: q+1
     160: q+1
     161: q+1
     162: q+1
     163: q+1
     164: q^2+2q+1
     165: q+1
     166: q+1
     167: q+1
     168: q+1
     170: 1
     171: 1
     172: q+1
     173: q+1
     175: 1
     176: 1
     177: q^2+q+1
     178: q+1
     180: q+1
     181: q+1
     182: q^2+q+1
     183: q+1
     185: q+1
     186: q+1
     187: q+1
     188: q+1
     189: q+1
     190: q+1
     191: 1
     192: 1
     193: 1
     194: 1
     195: q+1
     198: q+1
     199: q+1
     200: 1
     201: 1
     202: q+1
     203: q+1
     204: q+1
     207: q+1
     208: q+1
     209: q+1
     211: q+1
     212: q+1
     213: q+1
     215: q+1
     216: q+1
     217: q+1
     218: q+1
     219: q+1
     220: q+1
     222: 1
     223: 1
     224: q+1
     225: q+1
     227: 1
     228: 1
     229: q^2+q+1
     230: q+1
     232: q+1
     233: q+1
     234: q+1
     235: q+1
     237: 1
     238: 1
     239: q+1
     240: 1
     241: 1
     242: 1
     243: 1
     244: q+1
     245: 1
     248: 1
     249: q+1
     250: 1
     251: 1
     252: 1
     253: q+1
     257: q+1
     258: q+1
     259: q+1
     261: q+1
     262: q+1
     265: q+1
     266: 1
     267: 1
     268: q+1
     269: q+1
     271: q+1
     272: q+1
     275: q+1
     277: q+1
     278: q+1
     279: q+1
     280: q+1
     282: 1
     283: 1
     284: q+1
     285: q+1
     287: 1
     288: 1
     289: q+1
     290: q+1
     292: 1
     293: 1
     294: 1
     295: 1
     296: 1
     300: q+1
     301: q+1
     302: 1
     303: 1
     304: 1
     305: 1
     306: q+1
     307: 1
     313: q+1
     314: 1
     315: 1
     316: q+1
     317: q+1
     319: q+1
     322: 1
     323: q+1
     324: 1
     325: 1
     326: 1
     327: q+1
     333: q+1
     335: 1
     336: 1
     337: q+1
     338: q+1
     340: 1
     341: 1
     342: q+1
     343: q+1
     345: 1
     346: 1
     347: 1
     350: 1
     351: 1
     353: q+1
     354: 1
     355: 1
     356: 1
     363: 1
     364: q+1
     365: 1
     366: 1
     367: 1
     368: q+1
     373: 1
     374: 1
     375: 1
     376: 1
     377: q+1
     378: 1
     386: q+1
     388: 1
     389: 1
     391: q+1
     393: 1
     394: 1
     395: q+1
     396: q+1
     398: 1
     399: 1
     400: 1
     401: 1
     406: 1
     407: 1
     408: 1
     411: 1
     418: 1
     419: 1
     420: 1
     421: 1
     422: q+1
     423: 1
     427: 1
     428: 1
     429: 1
     439: q+1
     441: 1
     442: 1
     444: q+1
     446: 1
     447: 1
     448: 1
     449: 1
     450: 1
     454: 1
     455: 1
     456: 1
     467: 1
     468: 1
     469: 1
     474: 1
     485: 1
     487: 1
     490: q+1
     492: 1
     493: 1
     495: 1
     496: 1
     497: 1
     498: 1
     504: 1
     514: 1
     529: 1
     531: 1
     535: 1
     536: 1
     564: 1
     566: 1
     569: 1

570:   0: q+1
       1: q+1
       2: q+1
       3: q^2+2q+1
       4: q+1
       5: q^3+q^2+q+1
       6: q^2+2q+1
       7: q+1
       8: q+1
       9: q^3+q^2+q+1
      10: q^2+2q+1
      11: q^3+q^2+q+1
      12: q^2+2q+1
      14: q^2+2q+1
      15: q^3+q^2+q+1
      16: q^2+2q+1
      17: q^2+2q+1
      18: q^2+2q+1
      19: q^2+2q+1
      20: q^3+q^2+q+1
      21: q^3+q^2+q+1
      22: q^2+2q+1
      23: q^3+q^2+q+1
      24: q^2+2q+1
      25: q^2+2q+1
      26: q+1
      27: 2q+1
      28: q+1
      29: 2q+1
      30: q^2+q+1
      31: q+1
      32: q^2+2q+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+1
      42: q+1
      43: q^2+q+1
      45: q^2+q+1
      46: q+1
      47: q+1
      48: q+1
      49: q^3+q^2+q+1
      50: q^3+q^2+q+1
      51: q^2+2q+1
      52: q^2+2q+1
      53: 2q+1
      54: q^2+q+1
      55: q+1
      56: q+1
      57: q^3+q^2+q+1
      58: q+1
      59: q+1
      60: q+1
      61: q+1
      62: 2q+1
      63: q+1
      64: 2q+1
      65: q^2+q+1
      66: q+1
      67: 2q+1
      68: q+1
      69: 2q+1
      70: q^2+q+1
      71: q+1
      72: q+1
      73: q^2+2q+1
      74: q^2+2q+1
      75: q^2+2q+1
      76: q+1
      77: q+1
      79: q^2+q+1
      80: q^2+q+1
      81: q+1
      82: q+1
      84: q^2+q+1
      85: q^2+q+1
      86: q+1
      87: q+1
      88: q+1
      89: q^3+q^2+q+1
      90: q^3+q^2+q+1
      91: q+1
      92: 2q+1
      93: 2q+1
      94: q^2+2q+1
      95: q+1
      96: q+1
      97: q+1
      98: q^2+q+1
      99: q+1
     101: q+1
     102: q+1
     103: q+1
     104: q^2+q+1
     105: q+1
     106: q+1
     107: q^3+q^2+q+1
     108: q+1
     109: q+1
     110: q+1
     111: q+1
     112: 2q+1
     113: q+1
     114: 2q+1
     115: q^2+q+1
     116: q+1
     117: q+1
     118: 2q+1
     119: 2q+1
     120: q^2+q+1
     121: q+1
     122: q+1
     124: q^2+q+1
     125: q^2+q+1
     126: q+1
     127: q+1
     129: q^2+q+1
     130: q^2+q+1
     131: q+1
     132: q+1
     134: q^2+q+1
     135: q^2+q+1
     136: q+1
     137: 2q+1
     138: q+1
     139: 2q+1
     140: q+1
     141: q+1
     142: q+1
     143: q^2+q+1
     144: q+1
     145: q+1
     147: q+1
     148: q+1
     149: q+1
     150: q^2+q+1
     151: q+1
     152: q+1
     153: q+1
     156: q^2+q+1
     157: q+1
     158: q+1
     159: q+1
     160: q+1
     161: q+1
     162: q+1
     163: q+1
     164: 2q+1
     165: 2q+1
     166: q^2+q+1
     167: 1
     168: 1
     170: 1
     171: q^2+1
     172: q+1
     173: q+1
     175: q^2+q+1
     176: q^2+q+1
     177: q+1
     178: q+1
     180: q^2+q+1
     181: q^2+q+1
     182: q+1
     183: q+1
     185: q^2+q+1
     186: q^2+q+1
     187: q+1
     188: q+1
     189: 2q+1
     190: q+1
     191: q+1
     192: q+1
     193: 1
     194: 1
     195: 1
     198: q+1
     199: q+1
     200: q+1
     201: q^2+q+1
     202: q+1
     203: q+1
     204: q+1
     207: q^2+q+1
     208: q+1
     209: q+1
     211: q+1
     212: q^2+q+1
     213: q+1
     215: q+1
     216: q+1
     217: q+1
     218: q+1
     219: 1
     220: 1
     222: 1
     223: q^2+1
     224: 1
     225: 1
     227: 1
     228: q^2+1
     229: q+1
     230: q+1
     232: q^2+q+1
     233: q^2+q+1
     234: q+1
     235: q+1
     237: q^2+q+1
     238: q^2+q+1
     239: q+1
     240: q+1
     241: 1
     242: 1
     243: 1
     244: 1
     245: 1
     248: q+1
     249: q+1
     250: q+1
     251: 1
     252: 1
     253: 1
     257: q+1
     258: q^2+q+1
     259: q+1
     261: q+1
     262: q+1
     265: q+1
     266: q+1
     267: q^2+q+1
     268: q+1
     269: q+1
     271: q+1
     272: q+1
     275: q+1
     277: q+1
     278: q+1
     279: 1
     280: 1
     282: 1
     283: q^2+1
     284: q+1
     285: q+1
     287: q^2+q+1
     288: q^2+q+1
     289: 1
     290: 1
     292: 1
     293: q^2+1
     294: 1
     295: 1
     296: 1
     300: q+1
     301: q+1
     302: q+1
     303: 1
     304: 1
     305: 1
     306: 1
     307: 1
     313: q+1
     314: q+1
     315: q^2+q+1
     316: q+1
     317: q+1
     319: q+1
     322: q+1
     323: q+1
     324: q+1
     325: 1
     326: 1
     327: 1
     333: q+1
     335: q+1
     336: q+1
     337: 1
     338: 1
     340: 1
     341: q^2+1
     342: 1
     343: 1
     345: 1
     346: q^2+1
     347: 1
     350: q+1
     351: q+1
     353: q+1
     354: 1
     355: 1
     356: 1
     363: q+1
     364: q+1
     365: q+1
     366: 1
     367: 1
     368: 1
     373: q+1
     374: 1
     375: 1
     376: 1
     377: 1
     378: 1
     386: q+1
     388: q+1
     389: q+1
     391: 1
     393: 1
     394: 1
     395: 1
     396: 1
     398: 1
     399: q^2+1
     400: q+1
     401: q+1
     406: q+1
     407: 1
     408: 1
     411: 1
     418: q+1
     419: 1
     420: 1
     421: 1
     422: 1
     423: 1
     427: 1
     428: 1
     429: 1
     439: 1
     441: 1
     442: 1
     444: 1
     446: 1
     447: 1
     448: q+1
     449: 1
     450: 1
     454: 1
     455: 1
     456: 1
     467: 1
     468: 1
     469: 1
     474: 1
     485: 1
     487: 1
     488: 1
     490: 1
     492: 1
     493: 1
     494: 1
     495: 1
     496: 1
     497: 1
     498: 1
     504: 1
     514: 1
     529: 1
     531: 1
     532: 1
     533: 1
     534: 1
     535: 1
     536: 1
     570: 1

571:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^3+2q^2+2q+1
       3: q^2+2q+1
       4: q+1
       5: q^2+2q+1
       6: q^2+2q+1
       7: q+1
       8: q^2+q+1
       9: q^2+2q+1
      10: q^2+2q+1
      11: q+1
      12: q+1
      13: q^2+q+1
      14: q^2+2q+1
      15: q+1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      20: q+1
      21: q^2+2q+1
      22: q^2+2q+1
      23: q+1
      24: q+1
      25: q+1
      26: q^2+2q+1
      27: q^2+2q+1
      28: q+1
      29: q+1
      30: q+1
      31: q^2+2q+1
      32: q^2+2q+1
      33: q+1
      34: q+1
      35: q+1
      36: q^2+2q+1
      37: q+1
      38: q+1
      39: q+1
      40: q+1
      41: q^2+2q+1
      42: q^2+2q+1
      43: q^2+2q+1
      44: q^2+q+1
      45: q^2+2q+1
      46: q+1
      47: q+1
      48: q^2+q+1
      49: q+1
      50: q+1
      51: q+1
      52: q+1
      53: q+1
      54: q^2+2q+1
      55: q^2+2q+1
      56: q^2+2q+1
      57: q+1
      58: q+1
      59: q+1
      60: q+1
      61: q^2+2q+1
      62: q^2+2q+1
      63: q+1
      64: q+1
      65: q+1
      66: q^2+2q+1
      67: q^2+2q+1
      68: q+1
      69: q+1
      70: q+1
      71: q^2+2q+1
      72: q+1
      73: q+1
      74: q+1
      75: q+1
      76: q^2+2q+1
      77: q+1
      78: q+1
      79: q+1
      80: q+1
      81: q+1
      82: q+1
      83: q^2+q+1
      84: q+1
      85: q+1
      86: q+1
      87: q+1
      88: q^2+q+1
      89: q+1
      90: q+1
      91: q+1
      92: q+1
      93: q+1
      94: q+1
      95: q+1
      96: q^2+2q+1
      97: q^2+2q+1
      98: q+1
      99: q+1
     100: q+1
     101: q+1
     102: q+1
     103: q+1
     104: q+1
     105: q+1
     106: q+1
     107: q+1
     108: q+1
     109: q+1
     110: q+1
     111: q^2+2q+1
     112: q^2+2q+1
     113: q+1
     114: q+1
     115: q+1
     116: q^2+2q+1
     117: q+1
     118: q+1
     119: q+1
     120: q+1
     121: q^2+2q+1
     122: q+1
     123: q+1
     124: q+1
     125: q+1
     126: q+1
     127: 1
     128: q+1
     129: 1
     130: 1
     131: q+1
     132: q+1
     133: q^2+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^2+2q+1
     142: q+1
     143: q+1
     144: q+1
     145: q+1
     146: q+1
     147: q+1
     148: q+1
     149: 1
     150: 1
     151: 1
     152: q+1
     153: q+1
     154: q+1
     155: q+1
     156: q+1
     157: q+1
     158: q+1
     159: q+1
     160: q+1
     161: q+1
     162: q^2+2q+1
     163: q+1
     164: q+1
     165: q+1
     166: q+1
     167: q^2+2q+1
     168: q+1
     169: q+1
     170: q+1
     171: q+1
     172: q+1
     173: 1
     174: q+1
     175: 1
     176: 1
     177: q+1
     178: q+1
     180: q+1
     181: q+1
     182: q+1
     183: 1
     184: q+1
     185: 1
     186: 1
     187: q+1
     188: q+1
     189: q+1
     190: q+1
     191: q+1
     192: q+1
     193: q+1
     194: q+1
     195: q+1
     196: q+1
     197: 1
     198: q+1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: q+1
     205: q+1
     207: q+1
     208: q+1
     209: q+1
     210: q+1
     211: 1
     212: 1
     213: 1
     214: q+1
     215: q+1
     216: q+1
     217: q+1
     218: q+1
     219: q^2+2q+1
     220: q+1
     221: q+1
     222: q+1
     223: q+1
     224: q+1
     225: 1
     226: q+1
     227: 1
     228: 1
     229: q+1
     230: 1
     232: 1
     233: 1
     234: q+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: q+1
     246: q+1
     247: 1
     248: 1
     249: 1
     250: 1
     251: 1
     252: 1
     253: 1
     254: q+1
     255: 1
     257: 1
     258: 1
     259: 1
     261: q+1
     262: q+1
     263: 1
     264: q+1
     265: 1
     266: 1
     267: 1
     268: 1
     269: 1
     270: q+1
     271: q+1
     272: q+1
     274: q+1
     275: 1
     277: 1
     278: 1
     279: q+1
     280: 1
     281: q+1
     282: 1
     283: 1
     284: q+1
     285: 1
     287: 1
     288: 1
     289: q+1
     290: 1
     291: q+1
     292: 1
     293: 1
     294: q+1
     295: q+1
     296: q+1
     297: 1
     298: 1
     299: 1
     300: 1
     301: 1
     302: 1
     303: 1
     304: 1
     305: 1
     306: 1
     307: 1
     308: q+1
     309: 1
     313: 1
     314: 1
     315: 1
     316: 1
     317: 1
     319: q+1
     320: 1
     321: q+1
     322: 1
     323: 1
     324: 1
     325: 1
     326: 1
     327: 1
     328: q+1
     329: 1
     332: q+1
     333: 1
     335: 1
     336: 1
     337: q+1
     338: 1
     340: 1
     341: 1
     342: q+1
     343: 1
     344: q+1
     345: 1
     346: 1
     347: q+1
     348: 1
     349: 1
     350: 1
     351: 1
     352: 1
     353: 1
     354: 1
     355: 1
     356: 1
     357: 1
     358: 1
     363: 1
     364: 1
     365: 1
     366: 1
     367: 1
     368: 1
     371: 1
     372: 1
     373: 1
     374: 1
     375: 1
     376: 1
     377: 1
     378: 1
     379: q+1
     380: 1
     385: 1
     386: 1
     390: q+1
     391: 1
     393: 1
     394: 1
     395: q+1
     396: 1
     398: 1
     399: 1
     402: 1
     403: 1
     404: 1
     405: 1
     406: 1
     407: 1
     408: 1
     409: 1
     411: 1
     412: 1
     418: 1
     419: 1
     420: 1
     421: 1
     422: 1
     423: 1
     426: 1
     427: 1
     428: 1
     429: 1
     430: 1
     431: 1
     438: 1
     439: 1
     443: q+1
     444: 1
     446: 1
     447: 1
     452: 1
     453: 1
     454: 1
     455: 1
     456: 1
     457: 1
     458: 1
     460: 1
     467: 1
     468: 1
     469: 1
     473: 1
     474: 1
     475: 1
     484: 1
     485: 1
     489: 1
     490: 1
     499: 1
     501: 1
     503: 1
     504: 1
     505: 1
     514: 1
     518: 1
     528: 1
     529: 1
     537: 1
     541: 1
     563: 1
     564: 1
     571: 1

572:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: 1
       5: q+1
       6: q+1
       7: 1
       8: 1
       9: q^3+1
      10: q+1
      11: 1
      12: q+1
      13: 1
      14: q^3+1
      15: q^4+q^3+1
      16: q+1
      17: q^3+1
      18: q+1
      19: q^3+1
      20: q^3+1
      21: 1
      22: 1
      23: 1
      24: 1
      25: 1
      26: q+1
      27: q+1
      28: 1
      29: q+1
      30: q^3+1
      31: q+1
      32: q+1
      33: 1
      34: q+1
      35: q^3+1
      36: q+1
      37: 1
      38: q+1
      39: q+1
      40: q^3+1
      41: q+1
      42: q+1
      43: q+1
      44: 1
      45: q^3+1
      46: 1
      47: 1
      48: 1
      49: 1
      50: q^3+1
      51: 1
      52: 1
      53: q+1
      54: 1
      55: q+1
      56: q+1
      57: 1
      58: 1
      59: 1
      60: 1
      61: 1
      62: 1
      63: 1
      64: 1
      65: 1
      66: q+1
      67: q+1
      68: 1
      69: q+1
      70: q^3+1
      71: q+1
      72: 1
      73: q+1
      74: q+1
      75: q^3+1
      76: q+1
      77: q+1
      78: 1
      79: q+1
      80: q^3+1
      81: 1
      82: 1
      83: 1
      84: 1
      85: q^3+1
      86: 1
      87: 1
      88: 1
      89: 1
      90: q^3+1
      91: 1
      92: q+1
      93: 1
      94: 1
      95: q+1
      96: 1
      97: q+1
      98: 1
      99: q+1
     100: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: 1
     109: 1
     110: 1
     111: 1
     112: 1
     113: 1
     114: 1
     115: 1
     116: q+1
     117: 1
     118: q+1
     119: q+1
     120: q^3+1
     121: q+1
     122: q+1
     123: 1
     124: q+1
     125: q^3+1
     126: 1
     127: 1
     128: 1
     129: 1
     130: q^3+1
     131: 1
     132: 1
     133: 1
     134: 1
     135: q^3+1
     136: 1
     137: 1
     138: 1
     139: q+1
     140: q+1
     141: 1
     142: q+1
     143: 1
     144: 1
     145: q+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: q+1
     168: q+1
     169: 1
     170: q+1
     171: q^3+1
     172: 1
     173: 1
     174: 1
     175: 1
     176: q^3+1
     177: 1
     178: 1
     180: 1
     181: 1
     182: 1
     183: 1
     184: 1
     185: 1
     186: q^3+1
     187: 1
     188: 1
     189: 1
     190: 1
     191: q+1
     192: 1
     193: 1
     194: q+1
     195: q+1
     196: 1
     197: 1
     198: 1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 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: q^3+1
     229: 1
     230: 1
     232: 1
     233: 1
     234: 1
     235: 1
     236: 1
     237: 1
     238: q^3+1
     239: 1
     240: 1
     241: 1
     242: 1
     243: 1
     244: 1
     245: q+1
     246: 1
     247: 1
     248: 1
     249: 1
     250: 1
     251: 1
     252: 1
     253: 1
     254: 1
     255: 1
     257: 1
     258: 1
     259: 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
     274: 1
     275: 1
     277: 1
     278: 1
     284: 1
     285: 1
     287: 1
     288: 1
     289: 1
     290: 1
     291: 1
     292: 1
     293: q^3+1
     294: 1
     295: 1
     296: 1
     297: 1
     298: 1
     299: 1
     300: 1
     301: 1
     302: 1
     303: 1
     307: 1
     309: 1
     313: 1
     314: 1
     315: 1
     316: 1
     317: 1
     319: 1
     320: 1
     321: 1
     322: 1
     323: 1
     324: 1
     325: 1
     326: 1
     327: 1
     328: 1
     329: 1
     332: 1
     333: 1
     335: 1
     336: 1
     337: 1
     338: 1
     340: 1
     341: 1
     347: 1
     348: 1
     349: 1
     350: 1
     351: 1
     352: 1
     353: 1
     354: 1
     357: 1
     363: 1
     364: 1
     365: 1
     366: 1
     367: 1
     368: 1
     371: 1
     372: 1
     373: 1
     374: 1
     378: 1
     380: 1
     385: 1
     386: 1
     388: 1
     389: 1
     390: 1
     391: 1
     393: 1
     394: 1
     400: 1
     401: 1
     402: 1
     403: 1
     404: 1
     405: 1
     406: 1
     407: 1
     408: 1
     409: 1
     418: 1
     419: 1
     423: 1
     426: 1
     427: 1
     430: 1
     438: 1
     439: 1
     441: 1
     442: 1
     448: 1
     449: 1
     450: 1
     451: 1
     452: 1
     453: 1
     454: 1
     458: 1
     467: 1
     473: 1
     484: 1
     485: 1
     487: 1
     488: 1
     494: 1
     495: 1
     496: 1
     499: 1
     500: 1
     502: 1
     503: 1
     534: 1
     538: 1
     539: 1
     572: 1

573:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q+1
       5: q+1
       6: q^2+2q+1
       7: q+1
       8: q+1
       9: q+1
      10: q+1
      11: 1
      12: q^2+2q+1
      13: q+1
      14: q+1
      15: 1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      21: q+1
      22: q+1
      23: 1
      24: q+1
      25: q+1
      26: q+1
      27: q+1
      28: 1
      29: q+1
      31: q^2+2q+1
      32: q^2+2q+1
      33: q+1
      34: q+1
      35: q+1
      36: q^2+2q+1
      37: q+1
      38: q^2+2q+1
      39: q+1
      40: q+1
      41: q^2+2q+1
      42: q^2+2q+1
      43: q+1
      44: q+1
      45: q+1
      46: q+1
      47: q+1
      48: q+1
      49: 1
      50: 1
      51: q+1
      52: q+1
      53: q+1
      54: q+1
      55: q+1
      56: q^2+2q+1
      57: 1
      58: 1
      59: q+1
      60: q+1
      61: q+1
      62: q+1
      63: 1
      64: q+1
      66: q+1
      67: q+1
      68: 1
      69: q+1
      71: q^2+2q+1
      72: q+1
      73: q^2+2q+1
      74: q+1
      75: q+1
      76: q^2+2q+1
      77: q^2+2q+1
      78: q+1
      79: q+1
      80: q+1
      81: q+1
      82: q+1
      83: q+1
      84: 1
      85: 1
      86: q+1
      87: q+1
      88: q+1
      89: 1
      90: 1
      92: q+1
      93: q+1
      94: q+1
      95: q^2+2q+1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     100: q+1
     101: 1
     102: 1
     103: q+1
     104: 1
     105: 1
     106: q+1
     107: 1
     108: 1
     109: q+1
     110: q+1
     111: q+1
     112: q+1
     113: 1
     114: q+1
     116: q+1
     117: 1
     118: q+1
     119: q+1
     121: q^2+2q+1
     122: q^2+2q+1
     123: q+1
     124: q+1
     125: q+1
     126: q+1
     127: q+1
     128: q+1
     129: 1
     130: 1
     131: q+1
     132: q+1
     133: q+1
     134: 1
     135: 1
     137: q+1
     139: q+1
     140: q+1
     141: q+1
     142: q+1
     143: q+1
     144: q+1
     145: q^2+2q+1
     146: q+1
     147: 1
     148: 1
     149: q+1
     150: 1
     151: 1
     152: 1
     153: 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: q+1
     165: q+1
     167: q+1
     168: q+1
     169: 1
     170: q+1
     172: q+1
     173: q+1
     174: q+1
     175: 1
     176: 1
     177: q+1
     178: q+1
     180: 1
     181: 1
     182: q+1
     183: q+1
     184: q+1
     185: 1
     186: 1
     189: q+1
     190: q+1
     191: q+1
     192: q+1
     194: q+1
     195: q+1
     196: 1
     197: q+1
     198: 1
     199: 1
     200: 1
     201: 1
     202: q+1
     203: 1
     204: 1
     205: q+1
     207: 1
     208: 1
     209: q+1
     210: q+1
     211: q+1
     212: 1
     213: 1
     214: q+1
     215: 1
     216: 1
     217: 1
     218: 1
     219: q+1
     220: q+1
     221: 1
     222: q+1
     224: 1
     225: 1
     226: 1
     227: 1
     229: q+1
     230: q+1
     232: 1
     233: 1
     234: q+1
     235: q+1
     236: q+1
     237: 1
     238: 1
     240: q+1
     243: q+1
     244: q+1
     245: q+1
     246: 1
     247: 1
     248: 1
     249: 1
     250: 1
     252: 1
     253: 1
     254: 1
     255: q+1
     257: q+1
     258: 1
     259: 1
     261: 1
     262: 1
     263: q+1
     264: 1
     265: 1
     266: 1
     267: 1
     268: q+1
     269: 1
     270: q+1
     271: 1
     272: 1
     274: q+1
     275: q+1
     277: 1
     278: 1
     279: 1
     280: 1
     281: 1
     282: 1
     284: q+1
     285: q+1
     287: 1
     288: 1
     289: 1
     290: 1
     291: 1
     292: 1
     296: q+1
     297: 1
     298: 1
     299: q+1
     300: 1
     301: 1
     302: 1
     305: 1
     306: 1
     307: 1
     308: 1
     309: 1
     313: 1
     314: 1
     315: 1
     316: q+1
     317: 1
     319: 1
     320: 1
     321: 1
     322: 1
     323: 1
     324: 1
     326: 1
     327: 1
     328: 1
     329: q+1
     332: q+1
     333: q+1
     335: 1
     336: 1
     337: 1
     338: 1
     340: 1
     342: 1
     343: 1
     344: 1
     345: 1
     348: 1
     349: 1
     350: 1
     351: 1
     352: q+1
     353: 1
     356: 1
     357: 1
     358: 1
     363: 1
     364: 1
     365: 1
     367: 1
     368: 1
     371: 1
     372: 1
     373: 1
     376: 1
     377: 1
     378: 1
     379: 1
     380: 1
     385: q+1
     386: q+1
     388: 1
     389: 1
     390: 1
     391: 1
     393: 1
     395: 1
     396: 1
     398: 1
     400: 1
     401: 1
     402: q+1
     404: 1
     405: 1
     406: 1
     408: 1
     409: 1
     412: 1
     418: 1
     421: 1
     422: 1
     423: 1
     426: 1
     429: 1
     430: 1
     431: 1
     438: 1
     439: 1
     441: 1
     443: 1
     444: 1
     446: 1
     448: 1
     450: 1
     451: 1
     452: 1
     453: 1
     456: 1
     457: 1
     458: 1
     469: 1
     475: 1
     484: 1
     485: 1
     487: 1
     489: 1
     490: 1
     492: 1
     495: 1
     498: 1
     499: 1
     500: 1
     501: 1
     502: 1
     505: 1
     528: 1
     529: 1
     531: 1
     535: 1
     537: 1
     538: 1
     540: 1
     573: 1

574:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q+1
       5: q^2+2q+1
       6: q^2+2q+1
       7: q^3+q^2+q+1
       8: q+1
       9: q^2+2q+1
      10: q^2+2q+1
      11: q^3+q^2+q+1
      12: q^2+2q+1
      13: q+1
      14: q^2+2q+1
      15: q^3+q^2+q+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^3+q^2+q+1
      21: q^2+2q+1
      22: q^2+2q+1
      23: q^3+q^2+q+1
      24: q^2+2q+1
      25: q^3+q^2+q+1
      26: q^2+2q+1
      27: q^2+2q+1
      28: q^3+q^2+q+1
      29: q^2+2q+1
      30: q^3+q^2+q+1
      31: 2q+1
      32: 2q+1
      33: q+1
      34: q^2+q+1
      35: q^2+q+1
      36: q^2+2q+1
      37: q+1
      38: q^2+2q+1
      39: q^2+2q+1
      40: q^2+2q+1
      41: q^2+2q+1
      42: q^2+2q+1
      43: q^2+2q+1
      44: q+1
      45: q^2+2q+1
      46: q+1
      47: q^2+q+1
      48: q+1
      49: q^2+q+1
      50: q^2+q+1
      51: q^2+q+1
      52: q^2+2q+1
      53: q^2+2q+1
      54: q^2+2q+1
      55: q^2+2q+1
      56: 2q+1
      57: q^2+q+1
      58: q^2+q+1
      59: q+1
      60: q+1
      61: q^2+2q+1
      62: q^2+2q+1
      63: q^3+q^2+q+1
      64: q^2+2q+1
      65: q^3+q^2+q+1
      66: 2q+1
      67: 2q+1
      68: q+1
      69: q^2+q+1
      70: q^2+q+1
      71: 2q+1
      72: q+1
      73: 2q+1
      74: q^2+q+1
      75: q^2+q+1
      76: q^2+2q+1
      77: q^2+2q+1
      78: q+1
      79: q^2+2q+1
      80: q^2+2q+1
      81: q+1
      82: q^2+q+1
      83: q+1
      84: q^2+q+1
      85: q^2+q+1
      86: q+1
      87: q^2+q+1
      88: q+1
      89: q^2+q+1
      90: q^2+q+1
      91: q^2+q+1
      92: q+1
      93: q^2+2q+1
      94: q^2+q+1
      95: 2q+1
      96: q^2+2q+1
      97: 2q+1
      98: q^2+2q+1
      99: q^2+2q+1
     100: q+1
     101: q^2+q+1
     102: q+1
     103: q+1
     104: q^2+q+1
     105: q^2+q+1
     106: q+1
     107: q^2+q+1
     108: q^2+q+1
     109: q+1
     110: q+1
     111: 2q+1
     112: 2q+1
     113: q+1
     114: q^2+q+1
     115: q^2+q+1
     116: 2q+1
     117: q+1
     118: 2q+1
     119: q^2+q+1
     120: q^2+q+1
     121: 2q+1
     122: 2q+1
     123: q+1
     124: q^2+q+1
     125: q^2+q+1
     126: q+1
     127: q^2+q+1
     128: q+1
     129: q^2+q+1
     130: q^2+q+1
     131: q+1
     132: q^2+q+1
     133: q+1
     134: q^2+q+1
     135: q^2+q+1
     136: q^2+q+1
     137: q+1
     138: q^2+q+1
     139: q+1
     140: 2q+1
     141: 2q+1
     142: q+1
     143: q^2+q+1
     144: q^2+2q+1
     145: 2q+1
     146: q+1
     147: q+1
     148: q+1
     149: q+1
     150: q^2+q+1
     151: q^2+q+1
     152: q^2+q+1
     153: q+1
     154: q+1
     155: q+1
     156: q^2+q+1
     157: q^2+q+1
     158: q+1
     159: q^2+q+1
     160: q+1
     161: q+1
     162: 2q+1
     163: q+1
     164: 2q+1
     165: q^2+q+1
     166: q^2+q+1
     167: 2q+1
     168: 2q+1
     169: q+1
     170: q^2+q+1
     171: q^2+q+1
     172: 1
     173: 1
     174: 1
     175: q^2+1
     176: q^2+1
     177: q+1
     178: q+1
     180: q+1
     181: q+1
     182: q+1
     183: q^2+q+1
     184: q+1
     185: q^2+q+1
     186: q^2+q+1
     187: q+1
     188: q^2+q+1
     189: q+1
     190: 2q+1
     191: q+1
     192: q+1
     193: q^2+q+1
     194: q+1
     195: 2q+1
     196: q+1
     197: q+1
     198: q+1
     199: q+1
     200: 1
     201: q^2+1
     202: 1
     203: q^2+q+1
     204: q+1
     205: 1
     207: q+1
     208: q+1
     209: q+1
     210: q+1
     211: q+1
     212: q^2+q+1
     213: q^2+q+1
     214: q+1
     215: q^2+q+1
     216: q+1
     217: q+1
     218: q+1
     219: 2q+1
     220: 2q+1
     221: q+1
     222: q^2+q+1
     223: q^2+q+1
     224: 1
     225: 1
     226: 1
     227: q^2+1
     228: q^2+1
     229: q+1
     230: q+1
     232: q+1
     233: q+1
     234: 1
     235: 1
     236: 1
     237: q^2+1
     238: q^2+1
     239: q+1
     240: q+1
     241: q+1
     242: q^2+q+1
     243: q+1
     244: 2q+1
     245: q+1
     246: q+1
     247: q+1
     248: 1
     249: q+1
     250: 1
     251: q^2+1
     252: 1
     253: 1
     254: 1
     255: 1
     257: q+1
     258: q+1
     259: q+1
     261: q+1
     262: q+1
     263: q+1
     264: q+1
     265: q+1
     266: 1
     267: q^2+1
     268: 1
     269: q^2+q+1
     270: 1
     271: q+1
     272: q+1
     274: q+1
     275: q+1
     277: q+1
     278: q+1
     279: 1
     280: 1
     281: 1
     282: q^2+1
     283: q^2+1
     284: 1
     285: 1
     287: 1
     288: 1
     289: 1
     290: 1
     291: 1
     292: q^2+1
     293: q^2+1
     294: q+1
     295: q+1
     296: q+1
     297: 1
     298: q+1
     299: q+1
     300: q+1
     301: q+1
     302: 1
     303: 1
     304: q^2+1
     305: 1
     306: 1
     307: 1
     308: 1
     309: 1
     313: q+1
     314: 1
     315: 1
     316: 1
     317: q+1
     319: q+1
     320: q+1
     321: q+1
     322: 1
     323: q+1
     324: 1
     325: q^2+1
     326: 1
     327: 1
     328: 1
     329: 1
     332: 1
     333: 1
     335: 1
     336: 1
     337: 1
     338: 1
     340: 1
     341: 1
     342: 1
     343: 1
     344: 1
     345: q^2+1
     346: q^2+1
     347: q+1
     348: 1
     349: q+1
     350: 1
     351: 1
     352: 1
     353: q+1
     354: 1
     355: 1
     356: 1
     357: 1
     358: 1
     363: 1
     364: q+1
     365: 1
     366: 1
     367: 1
     368: 1
     371: 1
     372: q+1
     373: 1
     374: 1
     375: q^2+1
     376: 1
     377: 1
     378: 1
     379: 1
     380: 1
     385: 1
     386: 1
     388: 1
     389: 1
     390: 1
     391: 1
     393: 1
     394: 1
     395: 1
     396: 1
     398: 1
     399: 1
     400: 1
     401: 1
     402: 1
     403: 1
     404: 1
     405: q+1
     406: 1
     407: 1
     408: 1
     409: 1
     411: 1
     412: 1
     418: 1
     419: 1
     420: 1
     421: 1
     422: 1
     423: 1
     426: 1
     427: 1
     428: 1
     429: 1
     430: 1
     431: 1
     438: 1
     439: 1
     441: 1
     442: 1
     443: 1
     444: 1
     446: 1
     447: 1
     448: 1
     449: 1
     450: 1
     451: 1
     452: 1
     453: 1
     454: 1
     455: 1
     456: 1
     457: 1
     458: 1
     460: 1
     467: 1
     468: 1
     469: 1
     473: 1
     474: 1
     475: 1
     489: 1
     490: 1
     492: 1
     493: 1
     496: 1
     497: 1
     498: 1
     500: 1
     501: 1
     502: 1
     503: 1
     504: 1
     505: 1
     514: 1
     518: 1
     536: 1
     539: 1
     540: 1
     541: 1
     574: 1

575:   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+1
      11: q^2+2q+1
      12: q+1
      13: q^3+2q^2+2q+1
      14: q+1
      15: q^2+2q+1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      20: q+1
      21: q^2+2q+1
      22: q+1
      23: q^2+2q+1
      24: q+1
      25: q+1
      26: q^2+2q+1
      27: q+1
      28: q^2+2q+1
      29: q+1
      30: q+1
      31: q^2+2q+1
      32: q+1
      33: q^2+2q+1
      34: q+1
      35: q+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+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+1
      52: q+1
      53: q+1
      54: q+1
      55: q+1
      56: q+1
      57: q^2+2q+1
      58: q^2+2q+1
      59: q^2+2q+1
      60: q^2+2q+1
      61: q^2+2q+1
      62: q+1
      63: q^2+2q+1
      64: q+1
      65: q+1
      66: q^2+2q+1
      67: q+1
      68: q^2+2q+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+1
      78: q^2+2q+1
      79: q+1
      80: q+1
      81: q+1
      82: q+1
      83: q^2+2q+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^2+2q+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+1
     109: q+1
     110: q+1
     111: q^2+2q+1
     112: q+1
     113: q^2+2q+1
     114: q+1
     115: q+1
     116: q^2+2q+1
     117: q^2+2q+1
     118: q+1
     119: q+1
     120: q+1
     121: q+1
     122: q+1
     123: q^2+2q+1
     124: q+1
     125: q+1
     126: q+1
     127: q+1
     128: q^2+2q+1
     129: q+1
     130: q+1
     131: 1
     132: 1
     133: q+1
     134: 1
     135: 1
     136: q+1
     137: q+1
     138: q+1
     139: q+1
     140: q+1
     141: q+1
     142: q+1
     143: q+1
     144: q+1
     145: q+1
     146: q+1
     147: q^2+2q+1
     148: q^2+2q+1
     149: q+1
     150: q+1
     151: q+1
     152: q+1
     153: q+1
     154: q+1
     155: 1
     156: 1
     157: 1
     158: 1
     159: q+1
     160: q+1
     161: q+1
     162: q^2+2q+1
     163: q^2+2q+1
     164: q+1
     165: q+1
     166: q+1
     167: q+1
     168: q+1
     169: q^2+2q+1
     170: q+1
     171: q+1
     172: q+1
     173: q+1
     174: q^2+2q+1
     175: q+1
     176: q+1
     177: 1
     178: 1
     179: q+1
     180: 1
     181: 1
     182: 1
     183: 1
     184: q+1
     185: 1
     186: 1
     187: q+1
     188: q+1
     189: q+1
     190: q+1
     191: q+1
     192: q+1
     193: q+1
     194: q+1
     195: q+1
     196: q+1
     197: q+1
     198: q^2+2q+1
     199: q+1
     200: q+1
     201: q+1
     202: q+1
     203: q+1
     204: q+1
     205: q+1
     206: 1
     207: 1
     208: 1
     209: 1
     210: 1
     211: 1
     212: 1
     213: 1
     214: 1
     215: 1
     216: 1
     217: q+1
     218: q+1
     219: q+1
     220: q+1
     221: q^2+2q+1
     222: q+1
     223: q+1
     224: q+1
     225: q+1
     226: q^2+2q+1
     227: q+1
     228: q+1
     229: 1
     230: 1
     231: q+1
     232: 1
     233: 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: q+1
     246: q+1
     247: q+1
     248: q+1
     249: q+1
     250: q+1
     251: q+1
     252: q+1
     253: q+1
     254: q+1
     255: q+1
     256: 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: q+1
     274: 1
     276: 1
     279: q+1
     280: q+1
     281: q^2+2q+1
     282: q+1
     283: q+1
     284: 1
     285: 1
     286: q+1
     287: 1
     288: 1
     289: 1
     290: 1
     291: q+1
     292: 1
     293: 1
     294: q+1
     295: q+1
     296: q+1
     297: q+1
     298: q+1
     302: q+1
     303: q+1
     304: q+1
     305: q+1
     306: q+1
     307: q+1
     308: q+1
     309: q+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
     328: 1
     329: 1
     332: 1
     334: 1
     337: 1
     338: 1
     339: q+1
     340: 1
     341: 1
     342: 1
     343: 1
     344: q+1
     345: 1
     346: 1
     347: q+1
     348: q+1
     354: q+1
     355: q+1
     356: q+1
     357: q+1
     358: q+1
     360: 1
     361: 1
     362: 1
     363: 1
     364: 1
     365: 1
     366: 1
     367: 1
     368: 1
     369: 1
     370: 1
     371: 1
     372: 1
     373: 1
     374: 1
     375: 1
     376: 1
     377: 1
     378: 1
     379: 1
     380: 1
     385: 1
     387: 1
     390: 1
     392: 1
     395: 1
     396: 1
     397: q+1
     398: 1
     399: 1
     403: q+1
     410: 1
     411: q+1
     412: q+1
     414: 1
     416: 1
     417: 1
     418: 1
     419: 1
     420: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     426: 1
     427: 1
     428: 1
     429: 1
     430: 1
     431: 1
     438: 1
     440: 1
     443: 1
     445: 1
     459: 1
     460: q+1
     464: 1
     466: 1
     467: 1
     468: 1
     469: 1
     470: 1
     471: 1
     473: 1
     474: 1
     475: 1
     484: 1
     486: 1
     489: 1
     491: 1
     506: 1
     507: 1
     513: 1
     514: 1
     515: 1
     518: 1
     528: 1
     530: 1
     542: 1
     549: 1
     563: 1
     565: 1
     575: 1

576:   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
      10: q+1
      11: q+1
      12: q+1
      13: q+1
      16: q+1
      18: q+1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      31: q+1
      32: q+1
      33: q+1
      34: q+1
      36: q+1
      37: q+1
      38: q+1
      39: q+1
      41: q+1
      42: q+1
      43: q+1
      44: q+1
      46: q+1
      47: q+1
      48: q+1
      49: q+1
      53: q+1
      55: q+1
      56: q+1
      58: q+1
      59: q+1
      60: q+1
      66: q+1
      67: q+1
      68: q+1
      69: q+1
      71: q+1
      72: q+1
      73: q+1
      74: q+1
      76: q+1
      77: q+1
      78: q+1
      79: q+1
      81: q+1
      82: q+1
      83: q+1
      84: q+1
      86: 1
      87: 1
      88: 1
      89: 1
      92: q+1
      95: q+1
      97: q+1
      99: q+1
     100: q+1
     102: q+1
     103: q+1
     105: q+1
     106: q+1
     108: 1
     109: 1
     110: 1
     116: q+1
     117: q+1
     118: q+1
     119: q+1
     121: q+1
     122: q+1
     123: q+1
     124: q+1
     126: q+1
     127: q+1
     128: q+1
     129: q+1
     131: 1
     132: 1
     133: 1
     134: 1
     139: q+1
     140: q+1
     142: q+1
     145: q+1
     146: q+1
     148: q+1
     149: q+1
     151: q+1
     153: q+1
     154: q+1
     155: 1
     157: 1
     158: 1
     160: 1
     161: 1
     167: q+1
     168: q+1
     169: q+1
     170: q+1
     172: q+1
     173: q+1
     174: q+1
     175: q+1
     177: 1
     178: 1
     179: 1
     180: 1
     182: 1
     183: 1
     184: 1
     185: 1
     191: q+1
     194: q+1
     195: q+1
     196: q+1
     197: q+1
     199: q+1
     200: q+1
     202: q+1
     205: q+1
     206: 1
     208: 1
     209: 1
     210: 1
     211: 1
     213: 1
     214: 1
     216: 1
     218: 1
     224: q+1
     225: q+1
     226: q+1
     227: q+1
     229: 1
     230: 1
     231: 1
     232: 1
     234: 1
     235: 1
     236: 1
     237: 1
     245: q+1
     247: q+1
     248: q+1
     252: q+1
     253: q+1
     254: q+1
     255: q+1
     256: 1
     257: 1
     259: 1
     260: 1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     268: 1
     270: 1
     274: 1
     275: 1
     276: 1
     277: 1
     284: 1
     285: 1
     286: 1
     287: 1
     289: 1
     290: 1
     291: 1
     292: 1
     297: q+1
     299: 1
     301: 1
     307: q+1
     309: q+1
     310: 1
     311: 1
     312: 1
     313: 1
     314: 1
     316: 1
     318: 1
     320: 1
     322: 1
     326: 1
     327: 1
     328: 1
     329: 1
     332: 1
     333: 1
     334: 1
     335: 1
     337: 1
     338: 1
     339: 1
     340: 1
     349: 1
     350: 1
     352: 1
     357: q+1
     359: 1
     360: 1
     361: 1
     363: 1
     367: 1
     368: 1
     369: 1
     370: 1
     371: 1
     378: 1
     380: 1
     385: 1
     386: 1
     387: 1
     388: 1
     390: 1
     391: 1
     392: 1
     393: 1
     400: 1
     402: 1
     404: 1
     408: 1
     409: 1
     410: 1
     413: 1
     414: 1
     415: 1
     416: 1
     423: 1
     425: 1
     430: 1
     438: 1
     439: 1
     440: 1
     441: 1
     450: 1
     451: 1
     452: 1
     458: 1
     459: 1
     461: 1
     462: 1
     465: 1
     470: 1
     484: 1
     485: 1
     486: 1
     487: 1
     495: 1
     499: 1
     502: 1
     506: 1
     508: 1
     509: 1
     511: 1
     538: 1
     544: 1
     545: 1
     576: 1

577:   0: q^2+2q+1
       1: q^3+2q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: q^3+2q+1
       6: q^3+2q+1
       7: q^3+2q+1
       8: q^2+2q+1
       9: q^4+q^3+q+1
      10: q^3+2q+1
      11: q^3+2q+1
      12: q^3+2q+1
      13: q^2+2q+1
      14: q^4+q^3+q+1
      15: q^4+q^3+q+1
      16: q^3+2q+1
      17: q^4+q^3+q+1
      18: q^4+q^3+q+1
      19: q^3+1
      20: q^3+1
      21: q^3+q+1
      22: q^3+q+1
      23: q^3+q+1
      24: q^3+q+1
      25: q^3+1
      26: q^3+2q+1
      27: q^3+2q+1
      28: q^3+2q+1
      29: q^3+2q+1
      30: q^3+1
      31: 2q+1
      32: 2q+1
      33: 2q+1
      34: q^3+q+1
      35: q^3+1
      36: q^2+2q+1
      37: q^2+2q+1
      38: q^3+2q+1
      39: q^3+2q+1
      40: q^4+q^3+q+1
      41: q^2+2q+1
      42: q^3+2q+1
      43: q^3+2q+1
      44: q^2+2q+1
      45: q^4+q^3+q+1
      46: q^2+2q+1
      47: q^3+2q+1
      48: q^2+2q+1
      49: q^3+2q+1
      50: q^4+q^3+q+1
      51: q^3+1
      52: q^3+q+1
      53: q^3+2q+1
      54: q^3+q+1
      55: q^3+2q+1
      56: 2q+1
      57: q^3+q+1
      58: q^3+2q+1
      59: 2q+1
      60: q^2+2q+1
      61: q^3+q+1
      62: q^3+q+1
      63: q^3+q+1
      64: q^3+q+1
      65: q^3+1
      66: 2q+1
      67: 2q+1
      68: 2q+1
      69: q^3+q+1
      70: q^3+1
      71: 2q+1
      72: 2q+1
      73: 2q+1
      74: q^3+q+1
      75: q^3+1
      76: q^2+2q+1
      77: q^3+2q+1
      78: q^2+2q+1
      79: q^3+2q+1
      80: q^4+q^3+q+1
      81: q^2+2q+1
      82: q^3+2q+1
      83: q^2+2q+1
      84: q^3+2q+1
      85: q^4+q^3+q+1
      86: q+1
      87: q+1
      88: q+1
      89: q+1
      90: q+1
      91: q^3+1
      92: q+1
      93: q^3+q+1
      94: q^3+1
      95: 2q+1
      96: q^3+q+1
      97: 2q+1
      98: q^3+q+1
      99: q^3+2q+1
     100: q^2+2q+1
     101: q^3+q+1
     102: 2q+1
     103: 2q+1
     104: q^3+q+1
     105: q^3+2q+1
     106: 2q+1
     107: q+1
     108: q+1
     109: q+1
     110: q+1
     111: q+1
     112: q+1
     113: q+1
     114: 1
     115: 1
     116: 2q+1
     117: 2q+1
     118: 2q+1
     119: q^3+q+1
     120: q^3+1
     121: 2q+1
     122: 2q+1
     123: 2q+1
     124: q^3+q+1
     125: q^3+1
     126: q^2+2q+1
     127: q^3+2q+1
     128: q^2+2q+1
     129: q^3+2q+1
     130: q^4+q^3+q+1
     131: q+1
     132: q+1
     133: q+1
     134: q+1
     135: q+1
     136: 1
     137: 1
     138: q^3+1
     139: q+1
     140: 2q+1
     141: q+1
     142: q+1
     143: q^3+1
     144: q^3+q+1
     145: 2q+1
     146: 2q+1
     147: q+1
     148: 2q+1
     149: 2q+1
     150: q^3+q+1
     151: q^3+2q+1
     152: q^3+q+1
     153: 2q+1
     154: q^2+2q+1
     155: q+1
     156: q+1
     157: q+1
     158: q+1
     159: q+1
     160: q+1
     161: q+1
     162: q+1
     163: q+1
     164: q+1
     165: 1
     166: 1
     167: 2q+1
     168: 2q+1
     169: 2q+1
     170: q^3+q+1
     171: q^3+1
     172: 2q+1
     173: 2q+1
     174: 2q+1
     175: q^3+q+1
     176: q^3+1
     177: q+1
     178: q+1
     179: q+1
     180: q+1
     181: q+1
     182: q+1
     183: q+1
     184: q+1
     185: q+1
     186: q+1
     187: 1
     188: 1
     189: 1
     190: q+1
     191: q+1
     192: 1
     193: q^3+1
     194: q+1
     195: 2q+1
     196: 2q+1
     197: 2q+1
     198: q+1
     199: 2q+1
     200: q+1
     201: q^3+1
     202: 2q+1
     203: q^3+q+1
     204: q+1
     205: 2q+1
     206: q+1
     207: q+1
     208: q+1
     209: q+1
     210: q+1
     211: q+1
     212: q+1
     213: q+1
     214: q+1
     215: q+1
     216: q+1
     217: q+1
     218: q+1
     219: q+1
     220: q+1
     221: q+1
     222: 1
     223: 1
     224: 2q+1
     225: 2q+1
     226: 2q+1
     227: q^3+q+1
     228: q^3+1
     229: q+1
     230: q+1
     231: q+1
     232: q+1
     233: q+1
     234: 1
     235: 1
     236: 1
     237: 1
     238: 1
     239: 1
     240: 1
     241: 1
     242: 1
     243: 1
     244: q+1
     245: q+1
     246: q+1
     247: 2q+1
     248: q+1
     249: q+1
     250: 1
     251: q^3+1
     252: q+1
     253: 2q+1
     254: 2q+1
     255: 2q+1
     256: q+1
     257: q+1
     258: q+1
     259: q+1
     260: q+1
     261: q+1
     262: q+1
     263: q+1
     264: q+1
     265: q+1
     266: 1
     267: 1
     268: 1
     269: q+1
     270: 1
     271: q+1
     272: q+1
     274: q+1
     275: q+1
     276: q+1
     277: q+1
     278: q+1
     279: q+1
     280: q+1
     281: q+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: q+1
     298: q+1
     299: q+1
     300: q+1
     301: q+1
     302: 1
     303: 1
     304: 1
     305: 1
     306: q+1
     307: q+1
     308: q+1
     309: 2q+1
     310: q+1
     311: q+1
     312: q+1
     313: q+1
     314: 1
     315: 1
     316: 1
     317: q+1
     318: 1
     319: q+1
     320: q+1
     321: q+1
     322: 1
     323: q+1
     324: 1
     325: 1
     326: 1
     327: 1
     328: 1
     329: 1
     332: 1
     333: 1
     334: 1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: 1
     341: 1
     347: 1
     348: 1
     349: q+1
     350: 1
     351: 1
     352: 1
     353: q+1
     354: 1
     355: 1
     356: 1
     357: q+1
     358: q+1
     359: q+1
     360: 1
     361: q+1
     362: q+1
     363: 1
     364: q+1
     365: 1
     366: 1
     367: 1
     368: 1
     369: 1
     370: 1
     371: 1
     372: q+1
     373: 1
     374: 1
     378: 1
     380: 1
     385: 1
     386: 1
     387: 1
     388: 1
     389: 1
     390: 1
     391: 1
     392: 1
     393: 1
     394: 1
     400: 1
     401: 1
     402: 1
     403: 1
     404: 1
     405: q+1
     406: 1
     407: 1
     408: 1
     409: 1
     410: 1
     411: 1
     412: 1
     413: q+1
     414: 1
     415: 1
     416: 1
     417: q+1
     418: 1
     419: 1
     423: 1
     425: 1
     426: 1
     427: 1
     430: 1
     438: 1
     439: 1
     440: 1
     441: 1
     442: 1
     448: 1
     449: 1
     450: 1
     451: 1
     452: 1
     453: 1
     454: 1
     458: 1
     459: 1
     460: 1
     461: 1
     462: 1
     463: q+1
     465: 1
     466: 1
     467: 1
     470: 1
     473: 1
     496: 1
     500: 1
     502: 1
     503: 1
     508: 1
     509: 1
     510: 1
     511: 1
     513: 1
     539: 1
     543: 1
     544: 1
     547: 1
     577: 1

578:   0: q^3+3q^2+3q+1
       1: q^4+q^3+2q^2+3q+1
       2: q^3+3q^2+3q+1
       3: q^3+3q^2+3q+1
       4: q^3+3q^2+3q+1
       5: q^3+2q+1
       6: q^4+q^3+2q^2+3q+1
       7: q^4+q^3+2q^2+3q+1
       8: q^3+3q^2+3q+1
       9: q^3+2q+1
      10: q^3+2q+1
      11: q^3+2q+1
      12: q^4+q^3+2q^2+3q+1
      13: q^3+3q^2+3q+1
      14: q^3+2q+1
      15: q^3+2q+1
      16: q^3+2q+1
      17: q^3+2q+1
      18: q^4+q^3+q+1
      19: q^4+q^3+q+1
      21: q^3+2q+1
      22: q^3+2q+1
      23: q^3+2q+1
      24: q^3+2q+1
      25: q^4+q^3+q+1
      26: q^3+2q+1
      27: q^3+2q+1
      28: q^3+2q+1
      29: q^3+2q+1
      31: 2q^2+3q+1
      32: 2q^2+3q+1
      33: 2q^2+3q+1
      34: q^3+q+1
      35: q^3+q+1
      36: q^3+3q^2+3q+1
      37: q^3+3q^2+3q+1
      38: q^4+q^3+2q^2+3q+1
      39: q^3+2q+1
      40: q^3+2q+1
      41: q^3+3q^2+3q+1
      42: q^4+q^3+2q^2+3q+1
      43: q^3+2q+1
      44: q^3+3q^2+3q+1
      45: q^3+2q+1
      46: q^3+3q^2+3q+1
      47: q^4+q^3+2q^2+3q+1
      48: q^3+3q^2+3q+1
      49: q^3+2q+1
      50: q^3+2q+1
      51: q^3+q+1
      52: q^3+2q+1
      53: q^3+2q+1
      54: q^3+2q+1
      55: q^3+2q+1
      56: 2q^2+3q+1
      57: q^3+2q+1
      58: q^3+2q+1
      59: 2q^2+3q+1
      60: q^3+3q^2+3q+1
      61: q^3+2q+1
      62: q^3+2q+1
      63: q^3+2q+1
      64: q^3+2q+1
      66: 2q+1
      67: 2q+1
      68: 2q+1
      69: q^3+q+1
      71: 2q^2+3q+1
      72: 2q^2+3q+1
      73: 2q^2+3q+1
      74: q^3+q+1
      75: q^3+q+1
      76: q^3+3q^2+3q+1
      77: q^4+q^3+2q^2+3q+1
      78: q^3+3q^2+3q+1
      79: q^3+2q+1
      80: q^3+2q+1
      81: q^3+3q^2+3q+1
      82: q^4+q^3+2q^2+3q+1
      83: q^3+3q^2+3q+1
      84: q^3+2q+1
      85: q^3+2q+1
      86: q^2+2q+1
      87: q^2+2q+1
      88: q^2+2q+1
      89: q+1
      90: q+1
      92: q+1
      93: q^3+2q+1
      94: q^3+q+1
      95: 2q^2+3q+1
      96: q^3+2q+1
      97: 2q+1
      98: q^3+2q+1
      99: q^3+2q+1
     100: q^3+3q^2+3q+1
     101: q^3+2q+1
     102: 2q+1
     103: 2q^2+3q+1
     104: q^3+2q+1
     105: q^3+2q+1
     106: 2q^2+3q+1
     107: q+1
     108: q+1
     109: q^2+2q+1
     110: q^2+2q+1
     111: 2q+1
     112: 2q+1
     113: 2q+1
     114: q^3+q+1
     116: 2q+1
     117: 2q+1
     118: 2q+1
     119: q^3+q+1
     121: 2q^2+3q+1
     122: 2q^2+3q+1
     123: 2q^2+3q+1
     124: q^3+q+1
     125: q^3+q+1
     126: q^3+3q^2+3q+1
     127: q^4+q^3+2q^2+3q+1
     128: q^3+3q^2+3q+1
     129: q^3+2q+1
     130: q^3+2q+1
     131: q^2+2q+1
     132: q^2+2q+1
     133: q^2+2q+1
     134: q+1
     135: q+1
     137: q+1
     139: q+1
     140: 2q+1
     141: 2q+1
     142: q+1
     143: q^3+q+1
     144: q^3+2q+1
     145: 2q^2+3q+1
     146: 2q^2+3q+1
     147: 2q+1
     148: 2q+1
     149: 2q^2+3q+1
     150: q^3+2q+1
     151: q^3+2q+1
     152: q^3+2q+1
     153: 2q+1
     154: q^3+3q^2+3q+1
     155: q^2+2q+1
     156: q+1
     157: q+1
     158: q^2+2q+1
     159: q+1
     160: q+1
     161: q^2+2q+1
     162: 2q+1
     163: 2q+1
     164: 2q+1
     165: q^3+q+1
     167: 2q+1
     168: 2q+1
     169: 2q+1
     170: q^3+q+1
     172: 2q^2+3q+1
     173: 2q^2+3q+1
     174: 2q^2+3q+1
     175: q^3+q+1
     176: q^3+q+1
     177: q^2+2q+1
     178: q^2+2q+1
     179: q^2+2q+1
     180: q+1
     181: q+1
     182: q^2+2q+1
     183: q^2+2q+1
     184: q^2+2q+1
     185: q+1
     186: q+1
     189: q+1
     190: 2q+1
     191: q+1
     192: q+1
     194: q+1
     195: 2q+1
     196: 2q+1
     197: 2q^2+3q+1
     198: 2q+1
     199: 2q+1
     200: q+1
     201: q^3+q+1
     202: 2q^2+3q+1
     203: q^3+2q+1
     204: 2q+1
     205: 2q^2+3q+1
     206: q^2+2q+1
     207: q+1
     208: q+1
     209: q^2+2q+1
     210: q^2+2q+1
     211: q^2+2q+1
     212: q+1
     213: q+1
     214: q^2+2q+1
     215: q+1
     216: q+1
     217: q+1
     218: q+1
     219: 2q+1
     220: 2q+1
     221: 2q+1
     222: q^3+q+1
     224: 2q+1
     225: 2q+1
     226: 2q+1
     227: q^3+q+1
     229: q^2+2q+1
     230: q^2+2q+1
     231: q^2+2q+1
     232: q+1
     233: q+1
     234: q+1
     235: q+1
     236: q+1
     237: 1
     238: 1
     240: q+1
     243: q+1
     244: 2q+1
     245: q+1
     246: 2q+1
     247: 2q+1
     248: q+1
     249: 2q+1
     250: q+1
     252: q+1
     253: 2q+1
     254: 2q+1
     255: 2q^2+3q+1
     256: q^2+2q+1
     257: q^2+2q+1
     258: q+1
     259: q+1
     260: q^2+2q+1
     261: q+1
     262: q+1
     263: q^2+2q+1
     264: q+1
     265: q+1
     266: 1
     267: 1
     268: q+1
     269: q+1
     270: q+1
     271: q+1
     272: q+1
     274: q^2+2q+1
     275: q^2+2q+1
     276: q^2+2q+1
     277: q+1
     278: q+1
     279: 2q+1
     280: 2q+1
     281: 2q+1
     282: q^3+q+1
     284: q+1
     285: q+1
     286: q+1
     287: 1
     288: 1
     289: 1
     290: 1
     291: 1
     292: 1
     296: q+1
     297: q+1
     298: 2q+1
     299: q^2+2q+1
     300: q+1
     301: q+1
     302: q+1
     305: q+1
     306: 2q+1
     307: q+1
     308: 2q+1
     309: 2q+1
     310: q^2+2q+1
     311: q^2+2q+1
     312: q+1
     313: q+1
     314: 1
     315: 1
     316: q+1
     317: q+1
     318: q+1
     319: q+1
     320: q+1
     321: q+1
     322: 1
     323: q+1
     324: 1
     326: 1
     327: 1
     328: 1
     329: q+1
     332: q+1
     333: q+1
     334: q+1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: 1
     342: 1
     343: 1
     344: 1
     345: 1
     348: q+1
     349: q+1
     350: 1
     351: 1
     352: q+1
     353: q+1
     356: q+1
     357: q+1
     358: 2q+1
     359: q^2+2q+1
     360: q+1
     361: q+1
     362: q+1
     363: 1
     364: q+1
     365: 1
     367: 1
     368: 1
     369: 1
     370: q+1
     371: 1
     372: q+1
     373: 1
     376: 1
     377: 1
     378: 1
     379: 1
     380: 1
     385: q+1
     386: q+1
     387: q+1
     388: 1
     389: 1
     390: 1
     391: 1
     392: 1
     393: 1
     395: 1
     396: 1
     397: 1
     398: 1
     400: 1
     401: 1
     402: q+1
     404: 1
     405: q+1
     406: 1
     408: 1
     409: 1
     410: q+1
     412: q+1
     413: q+1
     414: 1
     415: q+1
     416: 1
     417: q+1
     418: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     426: 1
     429: 1
     430: 1
     431: 1
     438: 1
     439: 1
     440: 1
     441: 1
     443: 1
     444: 1
     445: 1
     446: 1
     448: 1
     450: 1
     451: 1
     452: 1
     453: 1
     456: 1
     457: 1
     458: 1
     459: 1
     461: q+1
     462: 1
     463: q+1
     464: 1
     465: 1
     466: 1
     469: 1
     470: 1
     471: 1
     475: 1
     489: 1
     490: 1
     491: 1
     492: 1
     498: 1
     500: 1
     501: 1
     502: 1
     505: 1
     507: 1
     508: 1
     509: 1
     510: 1
     511: 1
     512: 1
     515: 1
     540: 1
     543: 1
     544: 1
     546: 1
     548: 1
     578: 1

579:   0: q^3+3q^2+3q+1
       1: q^3+3q^2+3q+1
       2: q^4+3q^3+4q^2+3q+1
       3: q^3+3q^2+3q+1
       4: q^3+3q^2+3q+1
       5: q^2+2q+1
       6: q^3+3q^2+3q+1
       7: q^3+3q^2+3q+1
       8: q^4+3q^3+4q^2+3q+1
       9: q^2+2q+1
      10: q^2+2q+1
      11: q^2+2q+1
      12: q^2+2q+1
      13: q^4+3q^3+4q^2+3q+1
      14: q^2+2q+1
      15: q^2+2q+1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      21: q^2+2q+1
      22: q^2+2q+1
      23: q^2+2q+1
      24: q+1
      25: q+1
      26: q^2+2q+1
      27: q^2+2q+1
      28: q^2+2q+1
      29: q+1
      31: q^3+3q^2+3q+1
      32: q^3+3q^2+3q+1
      33: q^3+3q^2+3q+1
      34: q+1
      35: q+1
      36: q^3+3q^2+3q+1
      37: q^3+3q^2+3q+1
      38: q^2+2q+1
      39: q+1
      40: q+1
      41: q^3+3q^2+3q+1
      42: q^3+3q^2+3q+1
      43: q^2+2q+1
      44: q^4+3q^3+4q^2+3q+1
      45: q^2+2q+1
      46: q^3+3q^2+3q+1
      47: q^3+3q^2+3q+1
      48: q^4+3q^3+4q^2+3q+1
      49: q^2+2q+1
      50: q^2+2q+1
      51: q+1
      52: q+1
      53: q+1
      54: q^2+2q+1
      55: q^2+2q+1
      56: q^3+3q^2+3q+1
      57: q^2+2q+1
      58: q^2+2q+1
      59: q^3+3q^2+3q+1
      60: q^3+3q^2+3q+1
      61: q^2+2q+1
      62: q^2+2q+1
      63: q^2+2q+1
      64: q+1
      66: q^2+2q+1
      67: q^2+2q+1
      68: q^2+2q+1
      69: q+1
      71: q^3+3q^2+3q+1
      72: q^3+3q^2+3q+1
      73: q^2+2q+1
      74: q+1
      75: q+1
      76: q^3+3q^2+3q+1
      77: q^2+2q+1
      78: q^3+3q^2+3q+1
      79: q+1
      80: q+1
      81: q^3+3q^2+3q+1
      82: q^3+3q^2+3q+1
      83: q^4+3q^3+4q^2+3q+1
      84: q^2+2q+1
      85: q^2+2q+1
      86: q^2+2q+1
      87: q^2+2q+1
      88: q^3+2q^2+2q+1
      89: q+1
      90: q+1
      92: q+1
      93: q+1
      94: q+1
      95: q^2+2q+1
      96: q^2+2q+1
      97: q^2+2q+1
      98: q+1
      99: q+1
     100: q^3+3q^2+3q+1
     101: q^2+2q+1
     102: q^2+2q+1
     103: q^3+3q^2+3q+1
     104: q^2+2q+1
     105: q^2+2q+1
     106: q^3+3q^2+3q+1
     107: q+1
     108: q+1
     109: q^2+2q+1
     110: q^2+2q+1
     111: q^2+2q+1
     112: q^2+2q+1
     113: q^2+2q+1
     114: q+1
     116: q^2+2q+1
     117: q^2+2q+1
     118: q+1
     119: q+1
     121: q^3+3q^2+3q+1
     122: q^2+2q+1
     123: q^3+3q^2+3q+1
     124: q+1
     125: q+1
     126: q^3+3q^2+3q+1
     127: q^2+2q+1
     128: q^3+3q^2+3q+1
     129: q+1
     130: q+1
     131: q^2+2q+1
     132: q^2+2q+1
     133: q^3+2q^2+2q+1
     134: q+1
     135: q+1
     137: q+1
     139: q+1
     140: q+1
     141: q^2+2q+1
     142: q+1
     143: q+1
     144: q+1
     145: q^2+2q+1
     146: q^3+3q^2+3q+1
     147: q^2+2q+1
     148: q^2+2q+1
     149: q^2+2q+1
     150: q+1
     151: q+1
     152: q^2+2q+1
     153: q^2+2q+1
     154: q^3+3q^2+3q+1
     155: q^2+2q+1
     156: q+1
     157: q+1
     158: q^2+2q+1
     159: q+1
     160: q+1
     161: q^2+2q+1
     162: q^2+2q+1
     163: q^2+2q+1
     164: q+1
     165: q+1
     167: q^2+2q+1
     168: q+1
     169: q^2+2q+1
     170: q+1
     172: q^3+3q^2+3q+1
     173: q^2+2q+1
     174: q^3+3q^2+3q+1
     175: q+1
     176: q+1
     177: q^2+2q+1
     178: q^2+2q+1
     179: q^3+2q^2+2q+1
     180: q+1
     181: q+1
     182: q^2+2q+1
     183: q+1
     184: q^2+2q+1
     185: 1
     186: 1
     189: q+1
     190: q+1
     191: q+1
     192: q+1
     194: q+1
     195: q+1
     196: q^2+2q+1
     197: q^2+2q+1
     198: q^2+2q+1
     199: q+1
     200: q+1
     201: q+1
     202: q^2+2q+1
     203: q+1
     204: q^2+2q+1
     205: q^3+3q^2+3q+1
     206: q^2+2q+1
     207: q+1
     208: q+1
     209: q^2+2q+1
     210: q^2+2q+1
     211: q+1
     212: 1
     213: 1
     214: q^2+2q+1
     215: q+1
     216: q+1
     217: q+1
     218: q+1
     219: q^2+2q+1
     220: q+1
     221: q^2+2q+1
     222: q+1
     224: q^2+2q+1
     225: q+1
     226: q^2+2q+1
     227: q+1
     229: q^2+2q+1
     230: q+1
     231: q^2+2q+1
     232: 1
     233: 1
     234: q^2+2q+1
     235: q+1
     236: q^2+2q+1
     237: 1
     238: 1
     240: q+1
     243: q+1
     244: q+1
     245: q+1
     246: q^2+2q+1
     247: q+1
     248: q+1
     249: q+1
     250: q+1
     252: q+1
     253: q+1
     254: q^2+2q+1
     255: q^2+2q+1
     256: q^2+2q+1
     257: q+1
     258: 1
     259: 1
     260: q^2+2q+1
     261: q+1
     262: q+1
     263: q+1
     264: q+1
     265: 1
     266: 1
     267: 1
     268: q+1
     269: 1
     270: q^2+2q+1
     271: q+1
     272: q+1
     274: q^2+2q+1
     275: q+1
     276: q^2+2q+1
     277: 1
     278: 1
     279: q^2+2q+1
     280: q+1
     281: q^2+2q+1
     282: q+1
     284: q^2+2q+1
     285: q+1
     286: q^2+2q+1
     287: 1
     288: 1
     289: q+1
     290: 1
     291: q+1
     292: 1
     296: q+1
     297: q+1
     298: q+1
     299: q+1
     300: 1
     301: 1
     302: q+1
     305: q+1
     306: q+1
     307: q+1
     308: q^2+2q+1
     309: q+1
     310: q^2+2q+1
     311: q+1
     312: q+1
     313: 1
     314: 1
     315: 1
     316: q+1
     317: 1
     318: q^2+2q+1
     319: q+1
     320: 1
     321: q+1
     322: 1
     323: 1
     324: 1
     326: 1
     327: 1
     328: q+1
     329: q+1
     332: q^2+2q+1
     333: q+1
     334: q^2+2q+1
     335: 1
     336: 1
     337: q+1
     338: 1
     339: q+1
     340: 1
     342: q+1
     343: 1
     344: q+1
     345: 1
     348: q+1
     349: 1
     350: 1
     351: 1
     352: q+1
     353: 1
     356: q+1
     357: q+1
     358: q+1
     359: q+1
     360: q^2+2q+1
     361: 1
     362: q+1
     363: 1
     364: 1
     365: 1
     367: 1
     368: 1
     369: q+1
     370: q+1
     371: 1
     372: 1
     373: 1
     376: 1
     377: 1
     378: 1
     379: q+1
     380: 1
     385: q+1
     386: q+1
     387: q+1
     390: q+1
     391: 1
     392: q+1
     393: 1
     395: q+1
     396: 1
     397: q+1
     398: 1
     402: q+1
     404: 1
     405: 1
     406: 1
     408: 1
     409: 1
     410: q+1
     412: q+1
     413: 1
     414: q+1
     415: q+1
     416: 1
     417: 1
     418: 1
     421: 1
     422: 1
     423: 1
     424: q+1
     425: 1
     426: 1
     429: 1
     430: 1
     431: 1
     438: 1
     439: 1
     440: 1
     443: q+1
     444: 1
     445: q+1
     446: 1
     452: 1
     453: 1
     456: 1
     457: 1
     458: 1
     459: 1
     461: q+1
     462: 1
     463: 1
     464: q+1
     465: 1
     466: 1
     469: 1
     470: 1
     471: 1
     475: 1
     484: 1
     485: 1
     486: 1
     489: 1
     490: 1
     491: 1
     499: 1
     501: 1
     505: 1
     506: 1
     507: 1
     509: 1
     510: 1
     511: 1
     512: 1
     515: 1
     528: 1
     529: 1
     530: 1
     537: 1
     542: 1
     545: 1
     546: 1
     548: 1
     579: 1

580:   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^3+q^2+q+1
      17: q^3+q^2+q+1
      18: q^3+q^2+q+1
      19: q^3+q^2+q+1
      20: q^3+q^2+q+1
      21: q^2+2q+1
      22: q^2+2q+1
      23: q^2+2q+1
      24: q^3+q^2+q+1
      25: q^3+q^2+q+1
      26: q^2+2q+1
      27: q^2+2q+1
      28: q^2+2q+1
      29: q^3+q^2+q+1
      30: q^3+q^2+q+1
      31: q^2+2q+1
      32: q^2+2q+1
      33: q^2+2q+1
      34: q^3+q^2+q+1
      35: q^3+q^2+q+1
      36: 2q+1
      37: 2q+1
      38: q^2+q+1
      39: q^2+q+1
      40: q^2+q+1
      41: q^2+2q+1
      42: q^2+2q+1
      43: q^2+2q+1
      44: q^2+2q+1
      45: q^2+2q+1
      46: q^2+2q+1
      47: q^2+2q+1
      48: q^2+2q+1
      49: q^2+2q+1
      50: q^2+2q+1
      51: q^3+q^2+q+1
      52: q^2+q+1
      53: q^2+q+1
      54: q^2+2q+1
      55: q^2+2q+1
      56: q^2+2q+1
      57: q^2+2q+1
      58: q^2+2q+1
      59: q^2+2q+1
      60: 2q+1
      61: q^2+2q+1
      62: q^2+2q+1
      63: q^2+2q+1
      64: q^3+q^2+q+1
      65: q^3+q^2+q+1
      66: q^2+2q+1
      67: q^2+2q+1
      68: q^2+2q+1
      69: q^3+q^2+q+1
      70: q^3+q^2+q+1
      71: 2q+1
      72: 2q+1
      73: q^2+q+1
      74: q^2+q+1
      75: q^2+q+1
      76: 2q+1
      77: q^2+q+1
      78: 2q+1
      79: q^2+q+1
      80: q^2+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+1
      87: q+1
      88: q+1
      89: q+1
      90: q+1
      91: q^3+q^2+q+1
      92: q^2+q+1
      93: q^2+q+1
      94: q^2+q+1
      95: q+1
      96: q^2+2q+1
      97: q^2+2q+1
      98: q^2+q+1
      99: q^2+q+1
     100: 2q+1
     101: q^2+2q+1
     102: q^2+2q+1
     103: 2q+1
     104: q^2+2q+1
     105: q^2+2q+1
     106: q^2+2q+1
     107: q+1
     108: q+1
     109: q+1
     110: q+1
     111: q^2+2q+1
     112: q^2+2q+1
     113: q^2+2q+1
     114: q^3+q^2+q+1
     115: q^3+q^2+q+1
     116: 2q+1
     117: 2q+1
     118: q^2+q+1
     119: q^2+q+1
     120: q^2+q+1
     121: 2q+1
     122: q^2+q+1
     123: 2q+1
     124: q^2+q+1
     125: q^2+q+1
     126: 2q+1
     127: q^2+q+1
     128: 2q+1
     129: q^2+q+1
     130: q^2+q+1
     131: q+1
     132: q+1
     133: q+1
     134: q+1
     135: q+1
     136: q^3+q^2+q+1
     137: q^2+q+1
     138: q^2+q+1
     139: q^2+q+1
     140: q+1
     141: q^2+2q+1
     142: q^2+q+1
     143: q^2+q+1
     144: q^2+q+1
     145: q+1
     146: 2q+1
     147: q^2+2q+1
     148: 2q+1
     149: q+1
     150: q^2+q+1
     151: q^2+q+1
     152: q^2+2q+1
     153: q^2+2q+1
     154: 2q+1
     155: q+1
     156: q+1
     157: q+1
     158: q+1
     159: q+1
     160: q+1
     161: q+1
     162: 2q+1
     163: 2q+1
     164: q^2+q+1
     165: q^2+q+1
     166: q^2+q+1
     167: 2q+1
     168: q^2+q+1
     169: 2q+1
     170: q^2+q+1
     171: q^2+q+1
     172: 2q+1
     173: q^2+q+1
     174: 2q+1
     175: q^2+q+1
     176: q^2+q+1
     177: q+1
     178: q+1
     179: q+1
     180: q+1
     181: q+1
     182: 1
     183: 1
     184: 1
     185: 1
     186: 1
     187: q^2+q+1
     188: q^2+q+1
     189: q^2+q+1
     190: q+1
     191: q+1
     192: q^2+q+1
     193: q^2+q+1
     194: q^2+q+1
     195: q+1
     196: 2q+1
     197: q+1
     198: 2q+1
     199: q+1
     200: q^2+q+1
     201: q^2+q+1
     202: q+1
     203: q^2+q+1
     204: q^2+2q+1
     205: 2q+1
     206: q+1
     207: q+1
     208: q+1
     209: q+1
     210: q+1
     211: 1
     212: 1
     213: 1
     214: 1
     215: q+1
     216: q+1
     217: q+1
     218: q+1
     219: 2q+1
     220: q^2+q+1
     221: 2q+1
     222: q^2+q+1
     223: q^2+q+1
     224: 2q+1
     225: q^2+q+1
     226: 2q+1
     227: q^2+q+1
     228: q^2+q+1
     229: 1
     230: 1
     231: 1
     232: 1
     233: 1
     234: 1
     235: 1
     236: 1
     237: 1
     238: 1
     239: q^2+q+1
     240: q+1
     241: q^2+q+1
     242: q^2+q+1
     243: q^2+q+1
     244: q+1
     245: q+1
     246: 2q+1
     247: q+1
     248: q+1
     249: q+1
     250: q^2+q+1
     251: q^2+q+1
     252: q^2+q+1
     253: q+1
     254: 2q+1
     255: q+1
     256: q+1
     257: 1
     258: 1
     259: 1
     260: 1
     261: q+1
     262: q+1
     263: 1
     264: q+1
     265: 1
     266: 1
     267: 1
     268: 1
     269: 1
     270: 1
     271: q+1
     272: q+1
     274: 1
     275: 1
     276: 1
     277: 1
     278: 1
     279: 2q+1
     280: q^2+q+1
     281: 2q+1
     282: q^2+q+1
     283: q^2+q+1
     284: 1
     285: 1
     286: 1
     287: 1
     288: 1
     289: 1
     290: 1
     291: 1
     292: 1
     293: 1
     294: q+1
     295: q^2+q+1
     296: q+1
     297: q+1
     298: q+1
     299: 1
     300: 1
     301: 1
     302: q+1
     303: q^2+q+1
     304: q^2+q+1
     305: q^2+q+1
     306: q+1
     307: q+1
     308: 2q+1
     309: q+1
     310: 1
     311: 1
     312: q+1
     313: 1
     314: 1
     315: 1
     316: 1
     317: 1
     318: 1
     319: q+1
     320: 1
     321: q+1
     322: 1
     323: 1
     324: 1
     325: 1
     326: 1
     327: 1
     328: 1
     329: 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
     346: 1
     347: q+1
     348: q+1
     349: 1
     350: 1
     351: 1
     352: 1
     353: 1
     354: q+1
     355: q^2+q+1
     356: q+1
     357: q+1
     358: q+1
     359: 1
     360: 1
     361: 1
     362: q+1
     363: 1
     364: 1
     365: 1
     366: 1
     367: 1
     368: 1
     369: 1
     370: 1
     371: 1
     372: 1
     373: 1
     374: 1
     375: 1
     376: 1
     377: 1
     378: 1
     379: 1
     380: 1
     390: 1
     391: 1
     392: 1
     393: 1
     394: 1
     395: 1
     396: 1
     397: 1
     398: 1
     399: 1
     403: q+1
     404: 1
     405: 1
     406: 1
     407: 1
     408: 1
     409: 1
     411: q+1
     412: q+1
     413: 1
     414: 1
     415: 1
     416: 1
     417: 1
     418: 1
     419: 1
     420: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     426: 1
     427: 1
     428: 1
     429: 1
     430: 1
     431: 1
     443: 1
     444: 1
     445: 1
     446: 1
     447: 1
     453: 1
     454: 1
     455: 1
     456: 1
     457: 1
     458: 1
     460: q+1
     462: 1
     463: 1
     464: 1
     465: 1
     466: 1
     467: 1
     468: 1
     469: 1
     470: 1
     471: 1
     473: 1
     474: 1
     475: 1
     503: 1
     504: 1
     505: 1
     510: 1
     511: 1
     512: 1
     513: 1
     514: 1
     515: 1
     518: 1
     541: 1
     547: 1
     548: 1
     549: 1
     580: 1

581:   0: q^2+q+1
       1: q^2+q+1
       2: q^2+q+1
       3: q+1
       4: q^2+q+1
       5: 1
       6: q+1
       7: q^2+q+1
       8: q^2+q+1
      10: q^5+1
      11: 1
      12: q+1
      13: q^3+q^2+q+1
      16: q^5+1
      18: q^5+1
      26: 1
      27: 1
      28: 1
      29: 1
      31: q^2+q+1
      32: q+1
      33: q^2+q+1
      34: q^5+1
      36: q^2+q+1
      37: q^2+q+1
      38: q+1
      39: q^5+1
      41: q+1
      42: q+1
      43: 1
      44: q^2+q+1
      46: q^2+q+1
      47: q^2+q+1
      48: q^2+q+1
      49: 1
      53: 1
      55: 1
      56: q+1
      58: 1
      59: q^2+q+1
      60: q^2+q+1
      66: 1
      67: 1
      68: 1
      69: 1
      71: q^2+q+1
      72: q^2+q+1
      73: q+1
      74: q^5+1
      76: q+1
      77: q+1
      78: q^2+q+1
      79: 1
      81: q+1
      82: q+1
      83: q^2+q+1
      84: 1
      86: q^2+q+1
      87: q^2+q+1
      88: q^2+q+1
      89: 1
      92: 1
      95: q+1
      97: 1
      99: 1
     100: q+1
     102: 1
     103: q^2+q+1
     105: 1
     106: q+1
     108: 1
     109: q^2+q+1
     110: q^2+q+1
     116: 1
     117: 1
     118: 1
     119: 1
     121: q+1
     122: q+1
     123: q^2+q+1
     124: 1
     126: q+1
     127: q+1
     128: q^2+q+1
     129: 1
     131: q+1
     132: q+1
     133: q^2+q+1
     134: 1
     139: 1
     140: 1
     142: 1
     145: q+1
     146: q+1
     148: 1
     149: q+1
     151: 1
     153: 1
     154: q+1
     155: q+1
     157: 1
     158: q+1
     160: 1
     161: q^2+q+1
     167: 1
     168: 1
     169: 1
     170: 1
     172: q+1
     173: q+1
     174: q^2+q+1
     175: 1
     177: q+1
     178: q+1
     179: q^2+q+1
     180: 1
     182: q+1
     183: q+1
     184: q^2+q+1
     185: 1
     191: 1
     194: 1
     195: 1
     196: 1
     197: q+1
     199: 1
     200: 1
     202: q+1
     205: q+1
     206: q+1
     208: 1
     209: q+1
     210: q+1
     211: q+1
     213: 1
     214: q+1
     216: 1
     218: 1
     224: 1
     225: 1
     226: 1
     227: 1
     229: q+1
     230: q+1
     231: q^2+q+1
     232: 1
     234: q+1
     235: q+1
     236: q^2+q+1
     237: 1
     245: 1
     247: 1
     248: 1
     252: 1
     253: 1
     254: 1
     255: q+1
     256: q+1
     257: q+1
     259: 1
     260: q+1
     262: 1
     263: q+1
     264: 1
     265: 1
     266: 1
     268: q+1
     270: q+1
     273: q+1
     274: q+1
     275: 1
     276: q+1
     277: 1
     284: q+1
     285: q+1
     286: q^2+q+1
     287: 1
     289: 1
     290: 1
     291: 1
     292: 1
     297: 1
     299: 1
     301: 1
     307: 1
     309: 1
     310: q+1
     311: q+1
     312: 1
     313: 1
     314: 1
     316: q+1
     318: q+1
     320: 1
     322: 1
     326: 1
     327: 1
     328: 1
     329: q+1
     330: q+1
     331: q+1
     332: q+1
     333: 1
     334: q+1
     335: 1
     337: 1
     338: 1
     339: 1
     340: 1
     349: 1
     350: 1
     352: 1
     357: 1
     359: 1
     360: q+1
     361: 1
     363: 1
     367: 1
     368: 1
     369: 1
     370: q+1
     371: 1
     378: 1
     380: 1
     381: q+1
     382: 1
     383: q+1
     384: q+1
     385: q+1
     386: 1
     387: q+1
     388: 1
     400: 1
     402: 1
     404: 1
     410: q+1
     413: 1
     415: 1
     416: 1
     423: 1
     425: 1
     430: 1
     432: 1
     433: 1
     435: q+1
     436: q+1
     437: 1
     451: 1
     461: 1
     462: 1
     470: 1
     472: 1
     476: 1
     477: 1
     478: q+1
     479: 1
     482: 1
     508: 1
     516: 1
     517: 1
     519: 1
     520: 1
     526: 1
     550: 1
     552: 1
     554: 1
     581: 1

582:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^3+2q^2+2q+1
       3: q^4+2q+1
       4: q^2+2q+1
       5: q+1
       6: q^4+2q+1
       7: q^2+2q+1
       8: q^3+2q^2+2q+1
       9: q+1
      10: q^5+q^4+q+1
      11: q+1
      12: q^5+q^4+q+1
      13: q^4+2q^3+2q^2+2q+1
      14: q^5+q^4+q+1
      15: q+1
      16: q^4+1
      17: q^4+1
      18: q^4+1
      19: q^4+1
      21: q+1
      22: q^5+q^4+q+1
      23: q+1
      24: q^4+1
      25: q^4+1
      26: q+1
      27: q^4+q+1
      28: q+1
      29: q^4+1
      31: q^2+2q+1
      32: q^4+2q+1
      33: q^2+2q+1
      34: q^4+1
      35: q^4+1
      36: q^2+2q+1
      37: q^2+2q+1
      38: q^4+q+1
      39: q^4+1
      40: q^4+1
      41: 2q+1
      42: 2q+1
      43: q+1
      44: q^3+2q^2+2q+1
      45: q+1
      46: q^2+2q+1
      47: q^2+2q+1
      48: q^3+2q^2+2q+1
      49: q+1
      50: q+1
      51: q^4+1
      52: q^4+1
      53: q^4+1
      54: q+1
      55: q+1
      56: 2q+1
      57: q+1
      58: q+1
      59: q^2+2q+1
      60: q^2+2q+1
      61: q+1
      62: q^4+q+1
      63: q+1
      64: q^4+1
      66: q+1
      67: q^4+q+1
      68: q+1
      69: q^4+1
      71: q^2+2q+1
      72: q^2+2q+1
      73: q^4+q+1
      74: q^4+1
      75: q^4+1
      76: 2q+1
      77: q+1
      78: q^2+2q+1
      79: 1
      80: 1
      81: 2q+1
      82: 2q+1
      83: q^3+2q^2+2q+1
      84: q+1
      85: q+1
      86: q^2+2q+1
      87: q^2+2q+1
      88: q^3+2q^2+2q+1
      89: q+1
      90: q+1
      92: q^4+1
      93: q^4+1
      94: q^4+1
      95: q+1
      96: q+1
      97: q+1
      98: 1
      99: 1
     100: 2q+1
     101: q+1
     102: q+1
     103: q^2+2q+1
     104: q+1
     105: q+1
     106: 2q+1
     107: q+1
     108: q+1
     109: q^2+2q+1
     110: q^2+2q+1
     111: q+1
     112: q^4+q+1
     113: q+1
     114: q^4+1
     116: q+1
     117: q+1
     118: 1
     119: 1
     121: 2q+1
     122: q+1
     123: q^2+2q+1
     124: 1
     125: 1
     126: 2q+1
     127: q+1
     128: q^2+2q+1
     129: 1
     130: 1
     131: 2q+1
     132: 2q+1
     133: q^3+2q^2+2q+1
     134: q+1
     135: q+1
     137: q^4+1
     139: 1
     140: 1
     141: q+1
     142: 1
     143: 1
     144: 1
     145: q+1
     146: 2q+1
     147: q+1
     148: q+1
     149: q+1
     150: 1
     151: 1
     152: q+1
     153: q+1
     154: 2q+1
     155: 2q+1
     156: q+1
     157: q+1
     158: 2q+1
     159: q+1
     160: q+1
     161: q^2+2q+1
     162: q+1
     163: q+1
     164: 1
     165: 1
     167: q+1
     168: 1
     169: q+1
     170: 1
     172: 2q+1
     173: q+1
     174: q^2+2q+1
     175: 1
     176: 1
     177: 2q+1
     178: 2q+1
     179: q^3+2q^2+2q+1
     180: q+1
     181: q+1
     182: 2q+1
     183: q+1
     184: q^2+2q+1
     185: 1
     186: 1
     189: 1
     190: 1
     191: 1
     192: 1
     194: 1
     195: 1
     196: q+1
     197: q+1
     198: q+1
     199: 1
     200: 1
     201: 1
     202: q+1
     203: 1
     204: q+1
     205: 2q+1
     206: 2q+1
     207: q+1
     208: q+1
     209: 2q+1
     210: 2q+1
     211: q+1
     212: 1
     213: 1
     214: 2q+1
     215: q+1
     216: q+1
     217: q+1
     218: q+1
     219: q+1
     220: 1
     221: q+1
     222: 1
     224: q+1
     225: 1
     226: q+1
     227: 1
     229: 2q+1
     230: q+1
     231: q^2+2q+1
     232: 1
     233: 1
     234: 2q+1
     235: q+1
     236: q^2+2q+1
     237: 1
     238: 1
     240: 1
     243: 1
     244: 1
     245: 1
     246: q+1
     247: 1
     248: 1
     249: 1
     250: 1
     252: 1
     253: 1
     254: q+1
     255: q+1
     256: 2q+1
     257: q+1
     258: 1
     259: 1
     260: 2q+1
     261: q+1
     262: q+1
     263: q+1
     264: q+1
     265: 1
     266: 1
     267: 1
     268: q+1
     269: 1
     270: 2q+1
     271: q+1
     272: q+1
     273: 2q+1
     274: q+1
     275: 1
     276: q+1
     277: 1
     278: 1
     279: q+1
     280: 1
     281: q+1
     282: 1
     284: 2q+1
     285: q+1
     286: q^2+2q+1
     287: 1
     288: 1
     289: q+1
     290: 1
     291: q+1
     292: 1
     296: 1
     297: 1
     298: 1
     299: 1
     300: 1
     301: 1
     302: 1
     305: 1
     306: 1
     307: 1
     308: q+1
     309: 1
     310: q+1
     311: q+1
     312: q+1
     313: 1
     314: 1
     315: 1
     316: q+1
     317: 1
     318: 2q+1
     319: q+1
     320: 1
     321: q+1
     322: 1
     323: 1
     324: 1
     326: 1
     327: 1
     328: q+1
     329: q+1
     330: 2q+1
     331: 2q+1
     332: q+1
     333: 1
     334: q+1
     335: 1
     336: 1
     337: q+1
     338: 1
     339: q+1
     340: 1
     342: q+1
     343: 1
     344: q+1
     345: 1
     348: 1
     349: 1
     350: 1
     351: 1
     352: 1
     353: 1
     356: 1
     357: 1
     358: 1
     359: 1
     360: q+1
     361: 1
     362: q+1
     363: 1
     364: 1
     365: 1
     367: 1
     368: 1
     369: q+1
     370: q+1
     371: 1
     372: 1
     373: 1
     376: 1
     377: 1
     378: 1
     379: q+1
     380: 1
     381: q+1
     382: q+1
     383: q+1
     384: 2q+1
     395: q+1
     396: 1
     397: q+1
     398: 1
     404: 1
     405: 1
     406: 1
     412: 1
     413: 1
     415: 1
     416: 1
     417: 1
     418: 1
     421: 1
     422: 1
     423: 1
     424: q+1
     425: 1
     426: 1
     429: 1
     430: 1
     431: 1
     432: 1
     433: 1
     434: q+1
     435: q+1
     436: q+1
     437: q+1
     453: 1
     462: 1
     463: 1
     466: 1
     469: 1
     470: 1
     471: 1
     472: 1
     475: 1
     476: 1
     477: 1
     479: 1
     480: 1
     482: 1
     483: q+1
     510: 1
     515: 1
     516: 1
     517: 1
     520: 1
     521: 1
     524: 1
     526: 1
     527: 1
     550: 1
     551: 1
     556: 1
     562: 1
     582: 1

583:   0: q+1
       1: 1
       2: q+1
       3: q+1
       4: q+1
       5: 1
       6: 1
       7: 1
       8: q+1
      10: 1
      11: 1
      12: 1
      13: q+1
      16: 1
      26: 1
      27: 1
      28: 1
      29: 1
      31: 1
      32: 1
      33: 1
      36: q+1
      37: q+1
      38: 1
      39: 1
      41: q+1
      42: 1
      43: 1
      44: q+1
      46: q+1
      47: 1
      48: q+1
      49: 1
      53: 1
      55: 1
      56: 1
      58: 1
      59: 1
      60: q+1
      66: 1
      67: 1
      68: 1
      71: 1
      72: 1
      73: 1
      76: q+1
      77: 1
      78: q+1
      79: 1
      81: q+1
      82: 1
      83: q+1
      84: 1
      86: q+1
      87: 1
      88: q+1
      89: 1
      95: 1
      97: 1
      99: 1
     100: q+1
     102: 1
     103: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: q+1
     116: 1
     117: 1
     118: 1
     121: 1
     122: 1
     123: 1
     126: q+1
     127: 1
     128: q+1
     129: 1
     131: q+1
     132: 1
     133: q+1
     134: 1
     140: 1
     145: 1
     146: 1
     148: 1
     149: 1
     151: 1
     153: 1
     154: q+1
     155: q+1
     157: 1
     158: 1
     160: 1
     161: 1
     167: 1
     168: 1
     169: 1
     172: 1
     173: 1
     174: 1
     177: q+1
     178: 1
     179: q+1
     180: 1
     182: q+1
     183: 1
     184: q+1
     185: 1
     195: 1
     196: 1
     197: 1
     199: 1
     202: 1
     205: 1
     206: q+1
     208: 1
     209: 1
     210: 1
     211: 1
     213: 1
     214: q+1
     216: 1
     218: 1
     224: 1
     225: 1
     226: 1
     229: q+1
     230: 1
     231: q+1
     232: 1
     234: 1
     235: 1
     236: 1
     247: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     259: 1
     260: q+1
     262: 1
     263: 1
     264: 1
     265: 1
     268: 1
     270: 1
     273: q+1
     274: q+1
     275: 1
     276: q+1
     277: 1
     284: 1
     285: 1
     286: 1
     289: 1
     290: 1
     291: 1
     299: 1
     301: 1
     309: 1
     310: q+1
     311: 1
     312: 1
     313: 1
     316: 1
     318: 1
     320: 1
     327: 1
     328: 1
     329: 1
     330: 1
     331: q+1
     332: 1
     333: 1
     334: 1
     337: 1
     338: 1
     339: 1
     349: 1
     352: 1
     359: 1
     360: 1
     361: 1
     368: 1
     369: 1
     370: 1
     380: 1
     381: 1
     382: 1
     383: q+1
     384: 1
     385: 1
     386: 1
     387: 1
     390: 1
     391: 1
     392: 1
     402: 1
     409: 1
     410: 1
     413: 1
     414: 1
     415: 1
     425: 1
     432: 1
     433: 1
     435: 1
     436: 1
     437: 1
     438: 1
     439: 1
     440: 1
     452: 1
     459: 1
     461: 1
     465: 1
     472: 1
     476: 1
     477: 1
     478: 1
     481: 1
     482: 1
     509: 1
     516: 1
     517: 1
     519: 1
     522: 1
     523: 1
     552: 1
     553: 1
     555: 1
     583: 1

584:   0: q+1
       1: q+1
       2: q^3+q^2+q+1
       3: q+1
       4: q+1
       5: q+1
       6: q+1
       7: q+1
       8: q^3+q^2+q+1
      10: q+1
      11: q+1
      12: q^5+1
      13: q^3+q^2+q+1
      16: q^5+1
      18: q^5+1
      26: q+1
      27: q+1
      28: q+1
      29: q^5+1
      31: q+1
      32: q+1
      33: q+1
      34: q^5+1
      36: q+1
      37: q+1
      38: 1
      39: 1
      41: q+1
      42: q+1
      43: q+1
      44: q^3+q^2+q+1
      46: q+1
      47: q+1
      48: q^3+q^2+q+1
      49: q+1
      53: 1
      55: q+1
      56: q+1
      58: q+1
      59: q+1
      60: q+1
      66: q+1
      67: q+1
      68: q+1
      69: q^5+1
      71: q+1
      72: q+1
      73: 1
      74: 1
      76: q+1
      77: 1
      78: q+1
      79: 1
      81: q+1
      82: q+1
      83: q^3+q^2+q+1
      84: q+1
      86: q+1
      87: q+1
      88: q^3+q^2+q+1
      89: q+1
      92: 1
      95: 1
      97: q+1
      99: 1
     100: q+1
     102: q+1
     103: q+1
     105: q+1
     106: q+1
     108: q+1
     109: q+1
     110: q+1
     116: q+1
     117: q+1
     118: 1
     119: 1
     121: q+1
     122: 1
     123: q+1
     124: 1
     126: q+1
     127: 1
     128: q+1
     129: 1
     131: q+1
     132: q+1
     133: q^3+q^2+q+1
     134: q+1
     139: 1
     140: 1
     142: 1
     145: 1
     146: q+1
     148: q+1
     149: 1
     151: 1
     153: q+1
     154: q+1
     155: q+1
     157: q+1
     158: q+1
     160: q+1
     161: q+1
     167: q+1
     168: 1
     169: q+1
     170: 1
     172: q+1
     173: 1
     174: q+1
     175: 1
     177: q+1
     178: q+1
     179: q^3+q^2+q+1
     180: q+1
     182: q+1
     183: 1
     184: q+1
     185: 1
     191: 1
     194: 1
     195: 1
     196: q+1
     197: 1
     199: 1
     200: 1
     202: 1
     205: q+1
     206: q+1
     208: q+1
     209: q+1
     210: q+1
     211: 1
     213: 1
     214: q+1
     216: q+1
     218: q+1
     224: q+1
     225: 1
     226: q+1
     227: 1
     229: q+1
     230: 1
     231: q+1
     232: 1
     234: q+1
     235: 1
     236: q+1
     237: 1
     245: 1
     247: 1
     248: 1
     252: 1
     253: 1
     254: q+1
     255: 1
     256: q+1
     257: 1
     259: 1
     260: q+1
     262: q+1
     263: 1
     264: q+1
     265: 1
     266: 1
     268: 1
     270: q+1
     273: q+1
     274: q+1
     275: 1
     276: q+1
     277: 1
     284: q+1
     285: 1
     286: q+1
     287: 1
     289: q+1
     290: 1
     291: q+1
     292: 1
     297: 1
     299: 1
     301: 1
     307: 1
     309: 1
     310: q+1
     311: 1
     312: q+1
     313: 1
     314: 1
     316: 1
     318: q+1
     320: 1
     322: 1
     326: 1
     327: 1
     328: q+1
     329: 1
     330: q+1
     331: q+1
     332: q+1
     333: 1
     334: q+1
     335: 1
     337: q+1
     338: 1
     339: q+1
     340: 1
     349: 1
     350: 1
     352: 1
     357: 1
     359: 1
     360: q+1
     361: 1
     363: 1
     367: 1
     368: 1
     369: q+1
     370: 1
     371: 1
     378: 1
     380: 1
     381: 1
     382: q+1
     383: q+1
     384: q+1
     390: q+1
     391: 1
     392: q+1
     393: 1
     404: 1
     408: 1
     409: 1
     413: 1
     414: q+1
     415: 1
     416: 1
     423: 1
     425: 1
     430: 1
     432: 1
     433: 1
     435: q+1
     436: 1
     437: q+1
     458: 1
     462: 1
     465: 1
     470: 1
     472: 1
     476: 1
     477: 1
     479: 1
     481: q+1
     482: 1
     511: 1
     516: 1
     517: 1
     520: 1
     522: 1
     526: 1
     550: 1
     553: 1
     557: 1
     584: 1

585:   0: q^2+q+1
       1: 1
       2: q^3+q^2+q+1
       3: q^2+q+1
       4: q^2+q+1
       5: 1
       6: 1
       7: 1
       8: q^3+q^2+q+1
       9: 1
      10: 1
      11: 1
      12: q^5+1
      13: q^3+q^2+q+1
      14: 1
      15: 1
      16: q^5+1
      17: q^5+1
      21: 1
      22: 1
      23: 1
      24: q^5+1
      26: 1
      27: 1
      28: 1
      29: q^5+1
      31: 1
      32: 1
      33: 1
      36: q^2+q+1
      37: q^2+q+1
      38: 1
      39: 1
      40: 1
      41: q^2+q+1
      42: 1
      43: 1
      44: q^3+q^2+q+1
      45: 1
      46: q^2+q+1
      47: 1
      48: q^3+q^2+q+1
      49: 1
      50: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: q^2+q+1
      61: 1
      62: 1
      63: 1
      64: q^5+1
      66: 1
      67: 1
      68: 1
      71: 1
      72: 1
      73: 1
      76: q^2+q+1
      77: 1
      78: q^2+q+1
      79: 1
      80: 1
      81: q^2+q+1
      82: 1
      83: q^3+q^2+q+1
      84: 1
      85: 1
      86: q^2+q+1
      87: 1
      88: q^3+q^2+q+1
      89: 1
      90: 1
      93: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: q^2+q+1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: 1
     109: 1
     110: q^2+q+1
     111: 1
     112: 1
     113: 1
     116: 1
     117: 1
     118: 1
     121: 1
     122: 1
     123: 1
     126: q^2+q+1
     127: 1
     128: q^2+q+1
     129: 1
     130: 1
     131: q^2+q+1
     132: 1
     133: q^3+q^2+q+1
     134: 1
     135: 1
     140: 1
     141: 1
     144: 1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     151: 1
     152: 1
     153: 1
     154: q^2+q+1
     155: q^2+q+1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     161: 1
     162: 1
     163: 1
     164: 1
     167: 1
     168: 1
     169: 1
     172: 1
     173: 1
     174: 1
     177: q^2+q+1
     178: 1
     179: q^3+q^2+q+1
     180: 1
     181: 1
     182: q^2+q+1
     183: 1
     184: q^2+q+1
     185: 1
     186: 1
     190: 1
     195: 1
     196: 1
     197: 1
     198: 1
     199: 1
     202: 1
     203: 1
     204: 1
     205: 1
     206: q^2+q+1
     207: 1
     208: 1
     209: 1
     210: 1
     211: 1
     212: 1
     213: 1
     214: q^2+q+1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     224: 1
     225: 1
     226: 1
     229: q^2+q+1
     230: 1
     231: q^2+q+1
     232: 1
     233: 1
     234: 1
     235: 1
     236: 1
     244: 1
     246: 1
     247: 1
     249: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     258: 1
     259: 1
     260: q^2+q+1
     261: 1
     262: 1
     263: 1
     264: 1
     265: 1
     268: 1
     269: 1
     270: 1
     271: 1
     272: 1
     273: q^2+q+1
     274: q^2+q+1
     275: 1
     276: q^2+q+1
     277: 1
     278: 1
     279: 1
     280: 1
     281: 1
     284: 1
     285: 1
     286: 1
     289: 1
     290: 1
     291: 1
     298: 1
     299: 1
     300: 1
     301: 1
     306: 1
     308: 1
     309: 1
     310: q^2+q+1
     311: 1
     312: 1
     313: 1
     316: 1
     317: 1
     318: 1
     319: 1
     320: 1
     321: 1
     323: 1
     327: 1
     328: 1
     329: 1
     330: 1
     331: q^2+q+1
     332: 1
     333: 1
     334: 1
     337: 1
     338: 1
     339: 1
     342: 1
     343: 1
     344: 1
     349: 1
     352: 1
     353: 1
     358: 1
     359: 1
     360: 1
     361: 1
     362: 1
     364: 1
     368: 1
     369: 1
     370: 1
     372: 1
     377: 1
     379: 1
     380: 1
     381: 1
     382: 1
     383: q^2+q+1
     384: 1
     390: 1
     391: 1
     392: 1
     395: 1
     396: 1
     397: 1
     405: 1
     409: 1
     413: 1
     414: 1
     415: 1
     417: 1
     422: 1
     424: 1
     425: 1
     431: 1
     432: 1
     433: 1
     434: 1
     435: 1
     436: 1
     437: 1
     443: 1
     444: 1
     445: 1
     457: 1
     463: 1
     464: 1
     465: 1
     471: 1
     472: 1
     476: 1
     477: 1
     480: 1
     481: 1
     482: 1
     483: 1
     512: 1
     516: 1
     517: 1
     521: 1
     522: 1
     525: 1
     527: 1
     551: 1
     553: 1
     558: 1
     585: 1

586:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q^2+q+1
       5: q^4+1
       6: q+1
       7: q^2+q+1
       8: q^2+q+1
       9: q^4+1
      10: q^4+1
      11: 1
      12: q+1
      13: q^2+q+1
      14: q^4+1
      15: 1
      16: q^4+1
      17: q^4+1
      18: q^4+1
      19: q^4+1
      21: q^4+1
      22: q^4+1
      23: 1
      24: q^4+1
      25: q^4+1
      26: 1
      27: 1
      28: 1
      29: 1
      31: q+1
      32: q+1
      33: q^2+q+1
      34: q^4+1
      35: q^4+1
      36: q+1
      37: q^2+q+1
      38: q+1
      39: q^4+1
      40: q^4+1
      41: q+1
      42: q+1
      43: q^4+1
      44: q^2+q+1
      45: q^4+1
      46: q+1
      47: q+1
      48: q+1
      49: 1
      50: 1
      51: q^4+1
      52: q^4+1
      53: 1
      54: q^4+1
      55: 1
      56: q+1
      57: 1
      58: 1
      59: q+1
      60: q+1
      61: 1
      62: 1
      63: 1
      64: 1
      66: 1
      67: 1
      68: 1
      69: 1
      71: q+1
      72: q^2+q+1
      73: q+1
      74: q^4+1
      75: q^4+1
      76: q+1
      77: q+1
      78: q^2+q+1
      79: q^4+1
      80: q^4+1
      81: q+1
      82: q+1
      83: q+1
      84: 1
      85: 1
      86: q+1
      87: q+1
      88: q+1
      89: 1
      90: 1
      92: 1
      93: 1
      94: q^4+1
      95: q+1
      96: 1
      97: 1
      98: q^4+1
      99: 1
     100: q+1
     101: 1
     102: 1
     103: q+1
     104: 1
     105: 1
     106: q+1
     107: 1
     108: 1
     109: q+1
     110: q+1
     111: 1
     112: 1
     113: 1
     114: 1
     116: 1
     117: 1
     118: 1
     119: 1
     121: q+1
     122: q+1
     123: q^2+q+1
     124: q^4+1
     125: q^4+1
     126: q+1
     127: q+1
     128: q+1
     129: 1
     130: 1
     131: q+1
     132: q+1
     133: q+1
     134: 1
     135: 1
     137: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: q^4+1
     144: 1
     145: q+1
     146: q+1
     147: 1
     148: 1
     149: q+1
     150: 1
     151: 1
     152: 1
     153: 1
     154: q+1
     155: q+1
     156: 1
     157: 1
     158: q+1
     159: 1
     160: 1
     161: q+1
     162: 1
     163: 1
     164: 1
     165: 1
     167: 1
     168: 1
     169: 1
     170: 1
     172: q+1
     173: q+1
     174: q+1
     175: 1
     176: 1
     177: 1
     178: 1
     179: q+1
     180: 1
     181: 1
     182: q+1
     183: q+1
     184: q+1
     185: 1
     186: 1
     189: 1
     190: 1
     191: 1
     192: 1
     194: 1
     195: 1
     196: 1
     197: q+1
     198: 1
     199: 1
     200: 1
     201: 1
     202: q+1
     203: 1
     204: 1
     205: q+1
     206: 1
     207: 1
     208: 1
     209: 1
     210: q+1
     211: q+1
     212: 1
     213: 1
     214: q+1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     224: 1
     225: 1
     226: 1
     227: 1
     229: 1
     230: 1
     231: q+1
     232: 1
     233: 1
     234: q+1
     235: q+1
     236: q+1
     237: 1
     238: 1
     240: 1
     243: 1
     244: 1
     245: 1
     246: 1
     247: 1
     248: 1
     249: 1
     250: 1
     252: 1
     253: 1
     254: 1
     255: q+1
     256: 1
     257: 1
     258: 1
     259: 1
     260: 1
     261: 1
     262: 1
     263: q+1
     264: 1
     265: 1
     266: 1
     267: 1
     268: q+1
     269: 1
     270: q+1
     271: 1
     272: 1
     273: 1
     274: 1
     275: 1
     276: q+1
     277: 1
     278: 1
     279: 1
     280: 1
     281: 1
     282: 1
     284: 1
     285: 1
     286: q+1
     287: 1
     288: 1
     289: 1
     290: 1
     291: 1
     292: 1
     296: 1
     297: 1
     298: 1
     299: 1
     300: 1
     301: 1
     302: 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
     326: 1
     327: 1
     328: 1
     329: q+1
     330: 1
     331: 1
     332: 1
     333: 1
     334: q+1
     335: 1
     336: 1
     342: 1
     343: 1
     344: 1
     345: 1
     348: 1
     349: 1
     350: 1
     351: 1
     352: 1
     353: 1
     356: 1
     357: 1
     358: 1
     359: 1
     360: 1
     361: 1
     362: 1
     363: 1
     364: 1
     365: 1
     370: 1
     371: 1
     372: 1
     373: 1
     376: 1
     377: 1
     378: 1
     379: 1
     380: 1
     381: 1
     382: 1
     383: 1
     384: 1
     385: 1
     386: 1
     387: q+1
     388: 1
     389: 1
     400: 1
     401: 1
     402: 1
     404: 1
     405: 1
     406: 1
     410: 1
     412: 1
     413: 1
     415: 1
     416: 1
     417: 1
     418: 1
     426: 1
     429: 1
     430: 1
     431: 1
     432: 1
     433: 1
     434: 1
     435: 1
     436: 1
     448: 1
     451: 1
     453: 1
     461: 1
     462: 1
     463: 1
     466: 1
     475: 1
     476: 1
     477: 1
     478: 1
     479: 1
     480: 1
     500: 1
     508: 1
     510: 1
     519: 1
     520: 1
     521: 1
     524: 1
     543: 1
     554: 1
     556: 1
     586: 1

587:   0: q^2+2q+1
       1: q^4+2q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^3+2q^2+2q+1
       5: q^4+2q+1
       6: q^4+2q+1
       7: q^2+2q+1
       8: q^3+2q^2+2q+1
      10: q^4+2q+1
      11: q^2+2q+1
      12: q^4+2q+1
      13: q^3+2q^2+2q+1
      16: q^4+2q+1
      18: q^5+q^4+q+1
      26: q^4+2q+1
      27: q^4+2q+1
      28: q^2+2q+1
      29: q^4+2q+1
      31: 2q+1
      32: 2q+1
      33: q^2+2q+1
      34: q^4+q+1
      36: q^2+2q+1
      37: q^3+2q^2+2q+1
      38: q^4+2q+1
      39: q^4+2q+1
      41: q^2+2q+1
      42: q^4+2q+1
      43: q^4+2q+1
      44: q^3+2q^2+2q+1
      46: q^2+2q+1
      47: 2q+1
      48: q^2+2q+1
      49: 2q+1
      53: q^4+2q+1
      55: q^4+2q+1
      56: 2q+1
      58: 2q+1
      59: 2q+1
      60: q^2+2q+1
      66: 2q+1
      67: 2q+1
      68: q^2+2q+1
      69: q^4+q+1
      71: 2q+1
      72: q^2+2q+1
      73: 2q+1
      74: q^4+q+1
      76: q^2+2q+1
      77: q^4+2q+1
      78: q^3+2q^2+2q+1
      79: q^4+2q+1
      81: q^2+2q+1
      82: 2q+1
      83: q^2+2q+1
      84: 2q+1
      86: q^2+2q+1
      87: 2q+1
      88: q^2+2q+1
      89: 2q+1
      92: q+1
      95: 2q+1
      97: 2q+1
      99: q^4+2q+1
     100: q^2+2q+1
     102: 2q+1
     103: 2q+1
     105: 2q+1
     106: 2q+1
     108: 2q+1
     109: 2q+1
     110: q^2+2q+1
     116: 2q+1
     117: q^2+2q+1
     118: 2q+1
     119: q^4+q+1
     121: 2q+1
     122: 2q+1
     123: q^2+2q+1
     124: q^4+q+1
     126: q^2+2q+1
     127: 2q+1
     128: q^2+2q+1
     129: 2q+1
     131: q^2+2q+1
     132: 2q+1
     133: q^2+2q+1
     134: 2q+1
     139: q+1
     140: 2q+1
     142: q+1
     145: 2q+1
     146: 2q+1
     148: 2q+1
     149: 2q+1
     151: 2q+1
     153: 2q+1
     154: q^2+2q+1
     155: q^2+2q+1
     157: 2q+1
     158: 2q+1
     160: 2q+1
     161: 2q+1
     167: 2q+1
     168: 2q+1
     169: q^2+2q+1
     170: q^4+q+1
     172: 2q+1
     173: 2q+1
     174: 2q+1
     175: q+1
     177: q+1
     178: q+1
     179: q^2+2q+1
     180: q+1
     182: q^2+2q+1
     183: 2q+1
     184: q^2+2q+1
     185: 2q+1
     191: q+1
     194: q+1
     195: 2q+1
     196: 2q+1
     197: 2q+1
     199: 2q+1
     200: q+1
     202: 2q+1
     205: 2q+1
     206: q+1
     208: q+1
     209: q+1
     210: 2q+1
     211: 2q+1
     213: 2q+1
     214: q^2+2q+1
     216: 2q+1
     218: 2q+1
     224: 2q+1
     225: 2q+1
     226: 2q+1
     227: q+1
     229: q+1
     230: q+1
     231: q^2+2q+1
     232: q+1
     234: 2q+1
     235: 2q+1
     236: 2q+1
     237: q+1
     245: q+1
     247: 2q+1
     248: q+1
     252: q+1
     253: 2q+1
     254: 2q+1
     255: 2q+1
     256: q+1
     257: q+1
     259: q+1
     260: q+1
     262: q+1
     263: 2q+1
     264: 2q+1
     265: 2q+1
     266: q+1
     268: 2q+1
     270: 2q+1
     273: q+1
     274: q+1
     275: q+1
     276: q^2+2q+1
     277: q+1
     284: 1
     285: 1
     286: q+1
     287: 1
     289: 2q+1
     290: 2q+1
     291: 2q+1
     292: q+1
     297: q+1
     299: q+1
     301: q+1
     307: q+1
     309: 2q+1
     310: q+1
     311: q+1
     312: q+1
     313: q+1
     314: 1
     316: 1
     318: 1
     320: 2q+1
     322: q+1
     326: q+1
     327: 2q+1
     328: 2q+1
     329: 2q+1
     330: q+1
     331: q+1
     332: 1
     333: 1
     334: q+1
     335: 1
     337: 1
     338: 1
     339: q+1
     340: 1
     349: q+1
     350: 1
     352: 1
     357: q+1
     359: q+1
     360: 1
     361: q+1
     363: 1
     367: 1
     368: 1
     369: 1
     370: 1
     371: q+1
     378: q+1
     380: 2q+1
     381: q+1
     382: q+1
     383: q+1
     384: 1
     385: 1
     386: 1
     387: q+1
     388: 1
     390: 1
     391: 1
     392: q+1
     393: 1
     400: 1
     402: 1
     404: 1
     408: 1
     409: 1
     410: 1
     413: q+1
     414: 1
     415: 1
     416: 1
     423: 1
     425: 1
     430: q+1
     432: q+1
     433: q+1
     435: 1
     436: 1
     437: 1
     438: 1
     439: 1
     440: q+1
     441: 1
     450: 1
     451: 1
     452: 1
     458: 1
     459: 1
     461: 1
     462: 1
     465: 1
     470: 1
     476: q+1
     477: 1
     478: 1
     479: 1
     481: 1
     482: 1
     502: 1
     508: 1
     509: 1
     511: 1
     519: 1
     520: 1
     522: 1
     523: 1
     526: 1
     544: 1
     554: 1
     555: 1
     557: 1
     587: 1

588:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^3+2q^2+2q+1
       3: q^2+2q+1
       4: q^3+2q^2+2q+1
       5: q^2+2q+1
       6: q^2+2q+1
       7: q^3+2q^2+2q+1
       8: q^4+2q^3+3q^2+2q+1
      10: q^2+2q+1
      11: q^3+2q^2+2q+1
      12: q+1
      13: q^4+2q^3+3q^2+2q+1
      16: q+1
      18: q+1
      26: q^2+2q+1
      27: q^2+2q+1
      28: q^3+2q^2+2q+1
      29: q+1
      31: q^2+2q+1
      32: q^2+2q+1
      33: q^3+2q^2+2q+1
      34: q+1
      36: q^2+2q+1
      37: q^3+2q^2+2q+1
      38: q+1
      39: q+1
      41: q^2+2q+1
      42: q^2+2q+1
      43: q^2+2q+1
      44: q^4+2q^3+3q^2+2q+1
      46: q^2+2q+1
      47: q^2+2q+1
      48: q^3+2q^2+2q+1
      49: q^2+2q+1
      53: q+1
      55: q^2+2q+1
      56: q^2+2q+1
      58: q^2+2q+1
      59: q^2+2q+1
      60: q^2+2q+1
      66: q^2+2q+1
      67: q^2+2q+1
      68: q^3+2q^2+2q+1
      69: q+1
      71: q^2+2q+1
      72: q^3+2q^2+2q+1
      73: q+1
      74: q+1
      76: q^2+2q+1
      77: q+1
      78: q^3+2q^2+2q+1
      79: q+1
      81: q^2+2q+1
      82: q^2+2q+1
      83: q^3+2q^2+2q+1
      84: q^2+2q+1
      86: q^2+2q+1
      87: q^2+2q+1
      88: q^3+2q^2+2q+1
      89: q^2+2q+1
      92: q+1
      95: q+1
      97: q^2+2q+1
      99: q+1
     100: q^2+2q+1
     102: q^2+2q+1
     103: q^2+2q+1
     105: q^2+2q+1
     106: q^2+2q+1
     108: q^2+2q+1
     109: q^2+2q+1
     110: q^2+2q+1
     116: q^2+2q+1
     117: q^3+2q^2+2q+1
     118: q+1
     119: q+1
     121: q^2+2q+1
     122: q+1
     123: q^3+2q^2+2q+1
     124: q+1
     126: q^2+2q+1
     127: q+1
     128: q^2+2q+1
     129: q+1
     131: q^2+2q+1
     132: q^2+2q+1
     133: q^3+2q^2+2q+1
     134: q^2+2q+1
     139: q+1
     140: q+1
     142: q+1
     145: q+1
     146: q^2+2q+1
     148: q^2+2q+1
     149: q+1
     151: q+1
     153: q^2+2q+1
     154: q^2+2q+1
     155: q^2+2q+1
     157: q^2+2q+1
     158: q^2+2q+1
     160: q^2+2q+1
     161: q^2+2q+1
     167: q^2+2q+1
     168: q+1
     169: q^3+2q^2+2q+1
     170: q+1
     172: q^2+2q+1
     173: q+1
     174: q^2+2q+1
     175: q+1
     177: q+1
     178: q+1
     179: q^3+2q^2+2q+1
     180: q+1
     182: q^2+2q+1
     183: q+1
     184: q^2+2q+1
     185: q+1
     191: q+1
     194: q+1
     195: q+1
     196: q^2+2q+1
     197: q+1
     199: q+1
     200: q+1
     202: q+1
     205: q^2+2q+1
     206: q+1
     208: q+1
     209: q+1
     210: q^2+2q+1
     211: q+1
     213: q+1
     214: q^2+2q+1
     216: q^2+2q+1
     218: q^2+2q+1
     224: q^2+2q+1
     225: q+1
     226: q^2+2q+1
     227: q+1
     229: q+1
     230: 1
     231: q^2+2q+1
     232: 1
     234: q^2+2q+1
     235: q+1
     236: q^2+2q+1
     237: q+1
     245: q+1
     247: q+1
     248: q+1
     252: q+1
     253: q+1
     254: q^2+2q+1
     255: q+1
     256: q+1
     257: 1
     259: 1
     260: q+1
     262: q+1
     263: q+1
     264: q^2+2q+1
     265: q+1
     266: q+1
     268: q+1
     270: q^2+2q+1
     273: q+1
     274: q+1
     275: 1
     276: q^2+2q+1
     277: 1
     284: q+1
     285: 1
     286: q^2+2q+1
     287: 1
     289: q^2+2q+1
     290: q+1
     291: q^2+2q+1
     292: q+1
     297: q+1
     299: 1
     301: 1
     307: q+1
     309: q+1
     310: q+1
     311: 1
     312: q+1
     313: 1
     314: 1
     316: 1
     318: q+1
     320: q+1
     322: q+1
     326: q+1
     327: q+1
     328: q^2+2q+1
     329: q+1
     330: q+1
     331: q+1
     332: q+1
     333: 1
     334: q^2+2q+1
     335: 1
     337: q+1
     338: 1
     339: q^2+2q+1
     340: 1
     349: 1
     350: 1
     352: 1
     357: q+1
     359: 1
     360: q+1
     361: 1
     363: 1
     367: 1
     368: 1
     369: q+1
     370: 1
     371: q+1
     378: q+1
     380: q+1
     381: 1
     382: q+1
     383: q+1
     384: q+1
     385: 1
     386: 1
     387: q+1
     390: q+1
     391: 1
     392: q^2+2q+1
     393: 1
     402: 1
     404: 1
     408: 1
     409: 1
     410: 1
     413: 1
     414: q+1
     415: 1
     416: 1
     423: 1
     425: 1
     430: q+1
     432: 1
     433: 1
     435: q+1
     436: 1
     437: q+1
     438: 1
     439: 1
     440: q+1
     452: 1
     458: 1
     459: 1
     461: 1
     462: 1
     465: 1
     470: 1
     476: 1
     477: 1
     478: 1
     479: 1
     481: q+1
     482: 1
     484: 1
     485: 1
     486: q+1
     499: 1
     506: 1
     509: 1
     511: 1
     519: 1
     520: 1
     522: 1
     523: 1
     526: 1
     545: 1
     555: 1
     557: 1
     559: 1
     588: 1

589:   0: q^3+2q^2+2q+1
       1: q+1
       2: q^3+2q^2+2q+1
       3: q^3+2q^2+2q+1
       4: q^4+2q^3+3q^2+2q+1
       5: q+1
       6: q+1
       7: q^2+q+1
       8: q^4+2q^3+3q^2+2q+1
       9: q+1
      10: q+1
      11: q^2+q+1
      12: q+1
      13: q^4+2q^3+3q^2+2q+1
      14: q+1
      15: q^2+q+1
      16: q+1
      17: q+1
      21: q+1
      22: q+1
      23: q^2+q+1
      24: q+1
      26: q+1
      27: q+1
      28: q^2+q+1
      29: q+1
      31: q+1
      32: q+1
      33: q^2+q+1
      36: q^3+2q^2+2q+1
      37: q^4+2q^3+3q^2+2q+1
      38: q+1
      39: q+1
      40: q+1
      41: q^3+2q^2+2q+1
      42: q+1
      43: q+1
      44: q^4+2q^3+3q^2+2q+1
      45: q+1
      46: q^3+2q^2+2q+1
      47: q+1
      48: q^3+2q^2+2q+1
      49: q+1
      50: 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^3+2q^2+2q+1
      61: q+1
      62: q+1
      63: q^2+q+1
      64: q+1
      66: q+1
      67: q+1
      68: q^2+q+1
      71: q+1
      72: q^2+q+1
      73: q+1
      76: q^3+2q^2+2q+1
      77: q+1
      78: q^4+2q^3+3q^2+2q+1
      79: q+1
      80: q+1
      81: q^3+2q^2+2q+1
      82: q+1
      83: q^3+2q^2+2q+1
      84: q+1
      85: q+1
      86: q^3+2q^2+2q+1
      87: q+1
      88: q^3+2q^2+2q+1
      89: q+1
      90: q+1
      93: q+1
      95: q+1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     100: q^3+2q^2+2q+1
     101: q+1
     102: q+1
     103: q+1
     104: q+1
     105: q+1
     106: q+1
     107: q+1
     108: q+1
     109: q+1
     110: q^3+2q^2+2q+1
     111: q+1
     112: q+1
     113: q^2+q+1
     116: q+1
     117: q^2+q+1
     118: q+1
     121: q+1
     122: q+1
     123: q^2+q+1
     126: q^3+2q^2+2q+1
     127: q+1
     128: q^3+2q^2+2q+1
     129: q+1
     130: q+1
     131: q^3+2q^2+2q+1
     132: q+1
     133: q^3+2q^2+2q+1
     134: q+1
     135: q+1
     140: q+1
     141: 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^3+2q^2+2q+1
     155: q^3+2q^2+2q+1
     156: q+1
     157: q+1
     158: q+1
     159: q+1
     160: q+1
     161: q+1
     162: q+1
     163: q^2+q+1
     164: q+1
     167: q+1
     168: q+1
     169: q^2+q+1
     172: q+1
     173: q+1
     174: q+1
     177: q^2+q+1
     178: 1
     179: q^3+2q^2+2q+1
     180: 1
     181: 1
     182: q^3+2q^2+2q+1
     183: q+1
     184: q^3+2q^2+2q+1
     185: q+1
     186: q+1
     190: q+1
     195: q+1
     196: q+1
     197: q+1
     198: q+1
     199: q+1
     202: q+1
     203: q+1
     204: q+1
     205: q+1
     206: q^2+q+1
     207: 1
     208: 1
     209: 1
     210: q+1
     211: q+1
     212: q+1
     213: q+1
     214: q^3+2q^2+2q+1
     215: q+1
     216: q+1
     217: q+1
     218: q+1
     219: q+1
     220: q+1
     221: q^2+q+1
     224: q+1
     225: q+1
     226: q+1
     229: q^2+q+1
     230: 1
     231: q^3+2q^2+2q+1
     232: 1
     233: 1
     234: q+1
     235: q+1
     236: q+1
     244: q+1
     246: q+1
     247: q+1
     249: q+1
     253: q+1
     254: q+1
     255: q+1
     256: 1
     257: 1
     258: 1
     259: 1
     260: q^2+q+1
     261: 1
     262: 1
     263: q+1
     264: q+1
     265: q+1
     268: q+1
     269: q+1
     270: q+1
     271: q+1
     272: q+1
     273: q^2+q+1
     274: q^2+q+1
     275: 1
     276: q^3+2q^2+2q+1
     277: 1
     278: 1
     279: q+1
     280: q+1
     281: q+1
     284: 1
     285: 1
     286: q+1
     289: q+1
     290: q+1
     291: q+1
     298: q+1
     299: 1
     300: 1
     301: 1
     306: q+1
     308: q+1
     309: q+1
     310: q^2+q+1
     311: 1
     312: 1
     313: 1
     316: 1
     317: 1
     318: 1
     319: 1
     320: q+1
     321: q+1
     323: q+1
     327: q+1
     328: q+1
     329: q+1
     330: 1
     331: q^2+q+1
     332: 1
     333: 1
     334: q+1
     337: 1
     338: 1
     339: q+1
     342: q+1
     343: q+1
     344: q+1
     349: 1
     352: 1
     353: 1
     358: q+1
     359: 1
     360: 1
     361: 1
     362: 1
     364: 1
     368: 1
     369: 1
     370: 1
     372: q+1
     377: q+1
     379: q+1
     380: q+1
     381: 1
     382: 1
     383: q^2+q+1
     384: 1
     385: 1
     386: 1
     387: q+1
     390: 1
     391: 1
     392: q+1
     395: 1
     396: 1
     397: q+1
     402: 1
     405: 1
     409: 1
     410: 1
     413: 1
     414: 1
     415: 1
     417: 1
     422: 1
     424: 1
     425: 1
     431: q+1
     432: 1
     433: 1
     434: 1
     435: 1
     436: 1
     437: 1
     438: 1
     439: 1
     440: q+1
     443: 1
     444: 1
     445: q+1
     452: 1
     457: 1
     459: 1
     461: 1
     463: 1
     464: 1
     465: 1
     471: 1
     476: 1
     477: 1
     478: 1
     480: 1
     481: 1
     482: 1
     483: 1
     489: 1
     490: 1
     491: q+1
     501: 1
     507: 1
     509: 1
     512: 1
     519: 1
     521: 1
     522: 1
     523: 1
     525: 1
     527: 1
     546: 1
     555: 1
     558: 1
     560: 1
     589: 1

590:   0: q^3+2q+1
       1: q^3+2q+1
       2: q^2+2q+1
       3: q^3+2q+1
       4: q^2+2q+1
       5: q^3+2q+1
       6: q^3+2q+1
       7: q^2+2q+1
       8: q^3+2q^2+2q+1
       9: q^5+q^3+q+1
      10: q^3+2q+1
      11: q^2+2q+1
      12: q^4+q^3+q+1
      13: q^3+2q^2+2q+1
      14: q^5+q^3+q+1
      15: q+1
      16: q^4+q^3+q+1
      17: q^3+1
      18: q^4+q^3+q+1
      19: q^3+1
      20: q^3+1
      21: q^3+q+1
      22: q^3+q+1
      23: q+1
      24: q^3+1
      25: q^3+1
      26: q^3+2q+1
      27: q^3+2q+1
      28: q^2+2q+1
      29: q^4+q^3+q+1
      30: q^3+1
      31: q^3+2q+1
      32: q^3+2q+1
      33: q^2+2q+1
      34: q^4+q^3+q+1
      35: q^3+1
      36: 2q+1
      37: q^2+2q+1
      38: q^3+q+1
      39: q^3+q+1
      40: q^3+1
      41: q^3+2q+1
      42: q^3+2q+1
      43: q^3+2q+1
      44: q^3+2q^2+2q+1
      45: q^5+q^3+q+1
      46: 2q+1
      47: 2q+1
      48: q^2+2q+1
      49: 2q+1
      50: q+1
      51: q^3+1
      52: q^3+1
      53: q^3+q+1
      54: q^3+q+1
      55: q^3+2q+1
      56: q^3+2q+1
      57: q+1
      58: 2q+1
      59: 2q+1
      60: 2q+1
      61: q^3+q+1
      62: q^3+q+1
      63: q+1
      64: q^3+1
      65: q^3+1
      66: q^3+2q+1
      67: q^3+2q+1
      68: q^2+2q+1
      69: q^4+q^3+q+1
      70: q^3+1
      71: 2q+1
      72: q^2+2q+1
      73: q^3+q+1
      74: q^3+q+1
      75: q^3+1
      76: 2q+1
      77: q^3+q+1
      78: q^2+2q+1
      79: q^3+q+1
      80: q^3+1
      81: 2q+1
      82: 2q+1
      83: q^2+2q+1
      84: 2q+1
      85: q+1
      86: 2q+1
      87: 2q+1
      88: q^2+2q+1
      89: 2q+1
      90: q+1
      91: q^3+1
      92: q^3+q+1
      93: q^3+1
      94: q^3+1
      95: q+1
      96: q^3+q+1
      97: q^3+2q+1
      98: q^3+1
      99: q^3+q+1
     100: 2q+1
     101: q+1
     102: 2q+1
     103: 2q+1
     104: q+1
     105: 2q+1
     106: 2q+1
     107: q+1
     108: 2q+1
     109: 2q+1
     110: 2q+1
     111: q^3+q+1
     112: q^3+q+1
     113: q+1
     114: q^3+1
     115: q^3+1
     116: 2q+1
     117: q^2+2q+1
     118: q^3+q+1
     119: q^3+q+1
     120: q^3+1
     121: 2q+1
     122: q^3+q+1
     123: q^2+2q+1
     124: q^3+q+1
     125: q^3+1
     126: 2q+1
     127: q+1
     128: 2q+1
     129: q+1
     130: 1
     131: 2q+1
     132: 2q+1
     133: q^2+2q+1
     134: 2q+1
     135: q+1
     136: q^3+1
     137: q^3+1
     138: q^3+1
     139: q^3+q+1
     140: q+1
     141: q^3+q+1
     142: q^3+q+1
     143: q^3+1
     144: q^3+1
     145: q+1
     146: 2q+1
     147: q+1
     148: 2q+1
     149: q+1
     150: 1
     151: q+1
     152: q+1
     153: 2q+1
     154: 2q+1
     155: 2q+1
     156: q+1
     157: 2q+1
     158: 2q+1
     159: q+1
     160: 2q+1
     161: 2q+1
     162: q+1
     163: q+1
     164: 1
     165: 1
     166: 1
     167: 2q+1
     168: q^3+q+1
     169: q^2+2q+1
     170: q^3+q+1
     171: q^3+1
     172: 2q+1
     173: q+1
     174: 2q+1
     175: q+1
     176: 1
     177: q+1
     178: q+1
     179: q^2+2q+1
     180: q+1
     181: q+1
     182: 2q+1
     183: q+1
     184: 2q+1
     185: q+1
     186: 1
     187: q^3+1
     188: 1
     189: 1
     190: 1
     191: q+1
     192: q^3+1
     193: q^3+1
     194: q^3+q+1
     195: q+1
     196: 2q+1
     197: q+1
     198: q+1
     199: q+1
     200: q+1
     201: 1
     202: q+1
     203: 1
     204: q+1
     205: 2q+1
     206: q+1
     207: q+1
     208: q+1
     209: q+1
     210: 2q+1
     211: q+1
     212: 1
     213: q+1
     214: 2q+1
     215: q+1
     216: 2q+1
     217: q+1
     218: 2q+1
     219: q+1
     220: 1
     221: q+1
     222: 1
     223: 1
     224: 2q+1
     225: q+1
     226: 2q+1
     227: q+1
     228: 1
     229: 1
     230: 1
     231: q+1
     232: 1
     233: 1
     234: 2q+1
     235: q+1
     236: 2q+1
     237: q+1
     238: 1
     239: 1
     240: 1
     241: q^3+1
     242: 1
     243: 1
     244: 1
     245: q+1
     246: q+1
     247: q+1
     248: q+1
     249: 1
     250: 1
     251: 1
     252: q+1
     253: q+1
     254: 2q+1
     255: q+1
     256: q+1
     257: 1
     258: 1
     259: 1
     260: 1
     261: q+1
     262: q+1
     263: q+1
     264: 2q+1
     265: q+1
     266: q+1
     267: 1
     268: q+1
     269: 1
     270: 2q+1
     271: q+1
     272: q+1
     273: q+1
     274: 1
     275: 1
     276: q+1
     277: 1
     278: 1
     279: q+1
     280: 1
     281: q+1
     282: 1
     283: 1
     284: 1
     285: 1
     286: q+1
     287: 1
     288: 1
     289: 2q+1
     290: q+1
     291: 2q+1
     292: q+1
     293: 1
     294: 1
     295: 1
     296: 1
     297: q+1
     298: 1
     299: 1
     300: 1
     301: 1
     302: 1
     303: 1
     304: 1
     305: 1
     306: 1
     307: q+1
     308: q+1
     309: q+1
     310: 1
     311: 1
     312: q+1
     313: 1
     314: 1
     315: 1
     316: 1
     317: 1
     318: 1
     319: q+1
     320: q+1
     321: q+1
     322: q+1
     323: 1
     324: 1
     325: 1
     326: q+1
     327: q+1
     328: 2q+1
     329: q+1
     330: q+1
     331: 1
     332: 1
     333: 1
     334: q+1
     335: 1
     336: 1
     337: 1
     338: 1
     339: q+1
     340: 1
     341: 1
     342: q+1
     343: 1
     344: q+1
     345: 1
     346: 1
     347: 1
     348: 1
     349: 1
     350: 1
     351: 1
     352: 1
     353: 1
     354: 1
     355: 1
     356: 1
     357: q+1
     358: 1
     359: 1
     360: 1
     361: 1
     362: q+1
     363: 1
     364: 1
     365: 1
     366: 1
     367: 1
     368: 1
     369: 1
     370: 1
     371: q+1
     372: 1
     373: 1
     374: 1
     375: 1
     376: 1
     377: 1
     378: q+1
     379: q+1
     380: q+1
     381: 1
     382: q+1
     383: 1
     384: 1
     390: 1
     391: 1
     392: q+1
     393: 1
     394: 1
     403: 1
     404: 1
     405: 1
     406: 1
     407: 1
     408: 1
     409: 1
     411: 1
     412: 1
     413: 1
     414: 1
     415: 1
     416: 1
     417: 1
     418: 1
     419: 1
     423: 1
     425: 1
     426: 1
     427: 1
     428: 1
     429: 1
     430: q+1
     431: 1
     432: 1
     433: 1
     434: q+1
     435: 1
     436: 1
     437: 1
     453: 1
     454: 1
     458: 1
     460: 1
     462: 1
     463: 1
     465: 1
     466: 1
     467: 1
     470: 1
     473: 1
     474: 1
     475: 1
     476: 1
     477: 1
     479: 1
     480: 1
     481: 1
     482: 1
     503: 1
     510: 1
     511: 1
     513: 1
     518: 1
     520: 1
     521: 1
     522: 1
     524: 1
     526: 1
     547: 1
     556: 1
     557: 1
     561: 1
     590: 1

591:   0: q^4+q^3+2q^2+3q+1
       1: q^4+q^3+2q^2+3q+1
       2: q^3+3q^2+3q+1
       3: q^4+q^3+2q^2+3q+1
       4: q^3+3q^2+3q+1
       5: q^3+2q+1
       6: q^4+q^3+2q^2+3q+1
       7: q^3+3q^2+3q+1
       8: q^4+3q^3+4q^2+3q+1
       9: q^3+2q+1
      10: q^3+2q+1
      11: q^2+2q+1
      12: q^5+2q^4+q^3+q^2+2q+1
      13: q^4+3q^3+4q^2+3q+1
      14: q^3+2q+1
      15: q^2+2q+1
      16: q^4+q^3+q+1
      17: q^4+q^3+q+1
      18: q^4+q^3+q+1
      19: q^4+q^3+q+1
      21: q^3+2q+1
      22: q^3+2q+1
      23: q^2+2q+1
      24: q^4+q^3+q+1
      25: q^4+q^3+q+1
      26: q^3+2q+1
      27: q^3+2q+1
      28: q^2+2q+1
      29: q^4+q^3+q+1
      31: q^4+q^3+2q^2+3q+1
      32: q^4+q^3+2q^2+3q+1
      33: q^3+3q^2+3q+1
      34: q^4+q^3+q+1
      35: q^4+q^3+q+1
      36: 2q^2+3q+1
      37: q^3+3q^2+3q+1
      38: q^4+q^3+q^2+2q+1
      39: q^3+q+1
      40: q^3+q+1
      41: q^4+q^3+2q^2+3q+1
      42: q^4+q^3+2q^2+3q+1
      43: q^3+2q+1
      44: q^4+3q^3+4q^2+3q+1
      45: q^3+2q+1
      46: 2q^2+3q+1
      47: 2q^2+3q+1
      48: q^3+3q^2+3q+1
      49: 2q+1
      50: 2q+1
      51: q^4+q^3+q+1
      52: q^3+q+1
      53: q^3+q+1
      54: q^3+2q+1
      55: q^3+2q+1
      56: q^4+q^3+2q^2+3q+1
      57: 2q+1
      58: 2q+1
      59: 2q^2+3q+1
      60: 2q^2+3q+1
      61: q^3+2q+1
      62: q^3+2q+1
      63: q^2+2q+1
      64: q^4+q^3+q+1
      66: q^3+2q+1
      67: q^3+2q+1
      68: q^2+2q+1
      69: q^4+q^3+q+1
      71: 2q^2+3q+1
      72: q^3+3q^2+3q+1
      73: q^4+q^3+q^2+2q+1
      74: q^3+q+1
      75: q^3+q+1
      76: 2q^2+3q+1
      77: q^4+q^3+q^2+2q+1
      78: q^3+3q^2+3q+1
      79: q^3+q+1
      80: q^3+q+1
      81: 2q^2+3q+1
      82: 2q^2+3q+1
      83: q^3+3q^2+3q+1
      84: 2q+1
      85: 2q+1
      86: 2q^2+3q+1
      87: 2q^2+3q+1
      88: q^3+3q^2+3q+1
      89: 2q+1
      90: 2q+1
      92: q^3+q+1
      93: q^3+q+1
      94: q^3+q+1
      95: q^2+2q+1
      96: q^3+2q+1
      97: q^3+2q+1
      98: q^3+q+1
      99: q^3+q+1
     100: 2q^2+3q+1
     101: 2q+1
     102: 2q+1
     103: 2q^2+3q+1
     104: 2q+1
     105: 2q+1
     106: 2q^2+3q+1
     107: 2q+1
     108: 2q+1
     109: 2q^2+3q+1
     110: 2q^2+3q+1
     111: q^3+2q+1
     112: q^3+2q+1
     113: q^2+2q+1
     114: q^4+q^3+q+1
     116: 2q+1
     117: q^2+2q+1
     118: q^3+q+1
     119: q^3+q+1
     121: 2q^2+3q+1
     122: q^4+q^3+q^2+2q+1
     123: q^3+3q^2+3q+1
     124: q^3+q+1
     125: q^3+q+1
     126: 2q^2+3q+1
     127: q^2+2q+1
     128: 2q^2+3q+1
     129: q+1
     130: q+1
     131: 2q^2+3q+1
     132: 2q^2+3q+1
     133: q^3+3q^2+3q+1
     134: 2q+1
     135: 2q+1
     137: q^3+q+1
     139: q^3+q+1
     140: q+1
     141: q^3+2q+1
     142: q^3+q+1
     143: q^3+q+1
     144: q^3+q+1
     145: q^2+2q+1
     146: 2q^2+3q+1
     147: 2q+1
     148: 2q+1
     149: q^2+2q+1
     150: q+1
     151: q+1
     152: 2q+1
     153: 2q+1
     154: 2q^2+3q+1
     155: 2q^2+3q+1
     156: 2q+1
     157: 2q+1
     158: 2q^2+3q+1
     159: 2q+1
     160: 2q+1
     161: 2q^2+3q+1
     162: 2q+1
     163: q^2+2q+1
     164: q^3+q+1
     165: q^3+q+1
     167: 2q+1
     168: q^3+q+1
     169: q^2+2q+1
     170: q^3+q+1
     172: 2q^2+3q+1
     173: q^2+2q+1
     174: 2q^2+3q+1
     175: q+1
     176: q+1
     177: q^2+2q+1
     178: q^2+2q+1
     179: q^3+3q^2+3q+1
     180: q+1
     181: q+1
     182: 2q^2+3q+1
     183: q^2+2q+1
     184: 2q^2+3q+1
     185: q+1
     186: q+1
     189: q^3+q+1
     190: q+1
     191: q+1
     192: q^3+q+1
     194: q^3+q+1
     195: q+1
     196: 2q+1
     197: q^2+2q+1
     198: 2q+1
     199: q+1
     200: q+1
     201: q+1
     202: q^2+2q+1
     203: q+1
     204: 2q+1
     205: 2q^2+3q+1
     206: q^2+2q+1
     207: q+1
     208: q+1
     209: q^2+2q+1
     210: 2q^2+3q+1
     211: q^2+2q+1
     212: q+1
     213: q+1
     214: 2q^2+3q+1
     215: 2q+1
     216: 2q+1
     217: 2q+1
     218: 2q+1
     219: 2q+1
     220: q^3+q+1
     221: q^2+2q+1
     222: q^3+q+1
     224: 2q+1
     225: q+1
     226: 2q+1
     227: q+1
     229: q+1
     230: q+1
     231: q^2+2q+1
     232: 1
     233: 1
     234: 2q^2+3q+1
     235: q^2+2q+1
     236: 2q^2+3q+1
     237: q+1
     238: q+1
     240: q+1
     243: q^3+q+1
     244: q+1
     245: q+1
     246: 2q+1
     247: q+1
     248: q+1
     249: q+1
     250: q+1
     252: q+1
     253: q+1
     254: 2q+1
     255: q^2+2q+1
     256: q^2+2q+1
     257: q+1
     258: 1
     259: 1
     260: q+1
     261: q+1
     262: q+1
     263: q^2+2q+1
     264: 2q+1
     265: q+1
     266: q+1
     267: q+1
     268: q^2+2q+1
     269: q+1
     270: 2q^2+3q+1
     271: 2q+1
     272: 2q+1
     273: q^2+2q+1
     274: q+1
     275: q+1
     276: q^2+2q+1
     277: 1
     278: 1
     279: 2q+1
     280: q+1
     281: 2q+1
     282: q+1
     284: q+1
     285: q+1
     286: q^2+2q+1
     287: 1
     288: 1
     289: 2q+1
     290: q+1
     291: 2q+1
     292: q+1
     296: q+1
     297: q+1
     298: q+1
     299: q+1
     300: 1
     301: 1
     302: q+1
     305: q+1
     306: q+1
     307: q+1
     308: 2q+1
     309: q+1
     310: q+1
     311: q+1
     312: q+1
     313: 1
     314: 1
     315: 1
     316: q+1
     317: 1
     318: q+1
     319: q+1
     320: q+1
     321: 2q+1
     322: q+1
     323: q+1
     324: q+1
     326: q+1
     327: q+1
     328: 2q+1
     329: q^2+2q+1
     330: q^2+2q+1
     331: q+1
     332: q+1
     333: q+1
     334: q^2+2q+1
     335: 1
     336: 1
     337: 1
     338: 1
     339: q+1
     340: 1
     342: 2q+1
     343: q+1
     344: 2q+1
     345: q+1
     348: q+1
     349: 1
     350: 1
     351: 1
     352: q+1
     353: 1
     356: q+1
     357: q+1
     358: q+1
     359: q+1
     360: q+1
     361: 1
     362: q+1
     363: 1
     364: 1
     365: 1
     367: 1
     368: 1
     369: 1
     370: q+1
     371: q+1
     372: q+1
     373: q+1
     376: q+1
     377: q+1
     378: q+1
     379: 2q+1
     380: q+1
     381: q+1
     382: q+1
     383: q+1
     384: q+1
     390: 1
     391: 1
     392: q+1
     393: 1
     395: 1
     396: 1
     397: q+1
     398: 1
     404: 1
     405: 1
     406: 1
     408: 1
     409: 1
     412: q+1
     413: 1
     414: 1
     415: q+1
     416: 1
     417: 1
     418: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     426: q+1
     429: q+1
     430: q+1
     431: q+1
     432: q+1
     433: 1
     434: q+1
     435: q+1
     436: q+1
     437: 1
     443: 1
     444: 1
     445: q+1
     446: 1
     453: 1
     456: 1
     457: 1
     458: 1
     462: 1
     463: 1
     464: 1
     465: 1
     466: 1
     469: 1
     470: 1
     471: 1
     475: q+1
     476: 1
     477: q+1
     479: 1
     480: 1
     481: 1
     482: 1
     483: 1
     505: 1
     510: 1
     511: 1
     512: 1
     515: 1
     520: 1
     521: 1
     522: 1
     524: 1
     525: 1
     526: 1
     527: 1
     548: 1
     556: 1
     557: 1
     558: 1
     562: 1
     591: 1

592:   0: q^3+2q^2+2q+1
       1: q^3+2q^2+2q+1
       2: q^3+2q^2+2q+1
       3: q+1
       4: q^3+2q^2+2q+1
       5: q^2+q+1
       6: q+1
       7: q^3+2q^2+2q+1
       8: q^3+2q^2+2q+1
       9: q^2+q+1
      10: 1
      11: q^2+q+1
      12: q+1
      13: q^5+2q^4+3q^3+3q^2+2q+1
      14: 1
      15: q^2+q+1
      16: 1
      17: 1
      18: 1
      19: 1
      21: q^2+q+1
      22: 1
      23: q^2+q+1
      24: 1
      25: 1
      26: q^2+q+1
      27: 1
      28: q^2+q+1
      29: 1
      31: q^3+2q^2+2q+1
      32: q+1
      33: q^3+2q^2+2q+1
      34: 1
      35: 1
      36: q^3+2q^2+2q+1
      37: q^3+2q^2+2q+1
      38: q+1
      39: 1
      40: 1
      41: q+1
      42: q+1
      43: 1
      44: q^3+2q^2+2q+1
      45: 1
      46: q^3+2q^2+2q+1
      47: q^3+2q^2+2q+1
      48: q^3+2q^2+2q+1
      49: q^2+q+1
      50: q^2+q+1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: q+1
      57: q^2+q+1
      58: q^2+q+1
      59: q^3+2q^2+2q+1
      60: q^3+2q^2+2q+1
      61: q^2+q+1
      62: 1
      63: q^2+q+1
      64: 1
      66: q^2+q+1
      67: 1
      68: q^2+q+1
      69: 1
      71: q^3+2q^2+2q+1
      72: q^3+2q^2+2q+1
      73: q+1
      74: 1
      75: 1
      76: q+1
      77: q+1
      78: q^3+2q^2+2q+1
      79: 1
      80: 1
      81: q+1
      82: q+1
      83: q^3+2q^2+2q+1
      84: 1
      85: 1
      86: q^3+2q^2+2q+1
      87: q^3+2q^2+2q+1
      88: q^3+2q^2+2q+1
      89: q^2+q+1
      90: q^2+q+1
      92: 1
      93: 1
      94: 1
      95: q+1
      96: 1
      97: 1
      98: 1
      99: 1
     100: q+1
     101: q^2+q+1
     102: q^2+q+1
     103: q^3+2q^2+2q+1
     104: 1
     105: 1
     106: q+1
     107: q^2+q+1
     108: q^2+q+1
     109: q^3+2q^2+2q+1
     110: q^3+2q^2+2q+1
     111: q^2+q+1
     112: 1
     113: q^2+q+1
     114: 1
     116: q^2+q+1
     117: q^2+q+1
     118: 1
     119: 1
     121: q+1
     122: q+1
     123: q^3+2q^2+2q+1
     124: 1
     125: 1
     126: q+1
     127: q+1
     128: q^3+2q^2+2q+1
     129: 1
     130: 1
     131: q+1
     132: q+1
     133: q^3+2q^2+2q+1
     134: 1
     135: 1
     137: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: 1
     144: 1
     145: q+1
     146: q+1
     147: q^2+q+1
     148: q^2+q+1
     149: q+1
     150: 1
     151: 1
     152: 1
     153: 1
     154: q+1
     155: q+1
     156: 1
     157: 1
     158: q+1
     159: q^2+q+1
     160: q^2+q+1
     161: q^3+2q^2+2q+1
     162: q^2+q+1
     163: q^2+q+1
     164: 1
     165: 1
     167: 1
     168: 1
     169: q^2+q+1
     170: 1
     172: q+1
     173: q+1
     174: q^3+2q^2+2q+1
     175: 1
     176: 1
     177: q+1
     178: q+1
     179: q^3+2q^2+2q+1
     180: 1
     181: 1
     182: q+1
     183: q+1
     184: q^3+2q^2+2q+1
     185: 1
     186: 1
     189: 1
     190: 1
     191: 1
     192: 1
     194: 1
     195: 1
     196: 1
     197: q+1
     198: q^2+q+1
     199: 1
     200: 1
     201: 1
     202: q+1
     203: 1
     204: 1
     205: q+1
     206: q+1
     207: 1
     208: 1
     209: q+1
     210: q+1
     211: q+1
     212: 1
     213: 1
     214: q+1
     215: 1
     216: 1
     217: q^2+q+1
     218: q^2+q+1
     219: 1
     220: 1
     221: q^2+q+1
     222: 1
     224: 1
     225: 1
     226: q^2+q+1
     227: 1
     229: q+1
     230: q+1
     231: q^3+2q^2+2q+1
     232: 1
     233: 1
     234: q+1
     235: q+1
     236: q^3+2q^2+2q+1
     237: 1
     238: 1
     240: 1
     243: 1
     244: 1
     245: 1
     246: 1
     247: 1
     248: 1
     249: 1
     250: 1
     252: 1
     253: 1
     254: 1
     255: q+1
     256: q+1
     257: q+1
     258: 1
     259: 1
     260: q+1
     261: 1
     262: 1
     263: q+1
     264: 1
     265: 1
     266: 1
     267: 1
     268: q+1
     269: 1
     270: q+1
     271: 1
     272: q^2+q+1
     273: q+1
     274: q+1
     276: q+1
     279: 1
     280: 1
     281: q^2+q+1
     282: 1
     284: q+1
     285: q+1
     286: q^3+2q^2+2q+1
     287: 1
     288: 1
     289: 1
     290: 1
     291: q^2+q+1
     292: 1
     296: 1
     297: 1
     298: 1
     302: 1
     305: 1
     306: 1
     307: 1
     308: 1
     309: 1
     310: q+1
     311: q+1
     312: 1
     313: 1
     314: 1
     315: 1
     316: q+1
     317: 1
     318: q+1
     319: 1
     320: 1
     321: 1
     322: 1
     323: 1
     324: 1
     326: 1
     327: 1
     328: 1
     329: q+1
     330: q+1
     331: q+1
     332: q+1
     334: q+1
     337: 1
     338: 1
     339: q^2+q+1
     340: 1
     342: 1
     343: 1
     344: q^2+q+1
     345: 1
     348: 1
     356: 1
     357: 1
     358: 1
     360: q+1
     361: 1
     362: 1
     363: 1
     364: 1
     365: 1
     367: 1
     368: 1
     369: 1
     370: q+1
     371: 1
     372: 1
     373: 1
     376: 1
     377: 1
     378: 1
     379: 1
     380: 1
     381: q+1
     382: 1
     383: q+1
     384: q+1
     385: q+1
     387: q+1
     390: 1
     392: 1
     395: 1
     396: 1
     397: q^2+q+1
     398: 1
     410: q+1
     412: 1
     414: 1
     416: 1
     417: 1
     418: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     426: 1
     429: 1
     430: 1
     431: 1
     433: 1
     434: 1
     435: q+1
     436: q+1
     437: 1
     438: 1
     440: 1
     443: 1
     445: 1
     459: 1
     464: 1
     466: 1
     469: 1
     470: 1
     471: 1
     475: 1
     478: q+1
     479: 1
     480: 1
     481: 1
     482: 1
     483: 1
     484: 1
     486: 1
     489: 1
     491: 1
     506: 1
     507: 1
     515: 1
     523: 1
     524: 1
     525: 1
     526: 1
     527: 1
     528: 1
     530: 1
     542: 1
     559: 1
     560: 1
     562: 1
     592: 1

593:   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^3+1
      11: q+1
      12: q^3+1
      13: q^3+q^2+q+1
      14: q^3+1
      15: q+1
      16: q^3+1
      17: q^3+1
      18: q^3+1
      19: q^3+1
      20: q^3+1
      21: q+1
      22: q^3+1
      23: q+1
      24: q^3+1
      25: q^3+1
      26: q+1
      27: q^3+1
      28: q+1
      29: q^3+1
      30: q^3+1
      31: q+1
      32: q^3+1
      33: q+1
      34: q^3+1
      35: q^3+1
      36: q+1
      37: q+1
      38: q^3+1
      39: q^3+1
      40: q^3+1
      41: 1
      42: 1
      43: 1
      44: q+1
      45: 1
      46: q+1
      47: q+1
      48: q+1
      49: q+1
      50: q+1
      51: q^3+1
      52: q^3+1
      53: q^3+1
      54: 1
      55: 1
      56: 1
      57: q+1
      58: q+1
      59: q+1
      60: q+1
      61: q+1
      62: q^3+1
      63: q+1
      64: q^3+1
      65: q^3+1
      66: q+1
      67: q^3+1
      68: q+1
      69: q^3+1
      70: q^3+1
      71: q+1
      72: q+1
      73: q^3+1
      74: q^3+1
      75: q^3+1
      76: 1
      77: 1
      78: q+1
      79: 1
      80: 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: q^3+1
      92: q^3+1
      93: q^3+1
      94: q^3+1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: q+1
     102: q+1
     103: q+1
     104: 1
     105: 1
     106: 1
     107: q+1
     108: q+1
     109: q+1
     110: q+1
     111: q+1
     112: q^3+1
     113: q+1
     114: q^3+1
     115: q^3+1
     116: q+1
     117: q+1
     118: q^3+1
     119: q^3+1
     120: q^3+1
     121: 1
     122: 1
     123: q+1
     124: 1
     125: 1
     126: 1
     127: 1
     128: q+1
     129: 1
     130: 1
     131: 1
     132: 1
     133: q+1
     134: 1
     135: 1
     136: q^3+1
     137: q^3+1
     138: q^3+1
     139: q^3+1
     140: 1
     141: 1
     142: 1
     143: 1
     144: 1
     145: 1
     146: 1
     147: q+1
     148: q+1
     149: 1
     150: 1
     151: 1
     152: 1
     153: 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^3+1
     165: q^3+1
     166: q^3+1
     167: 1
     168: 1
     169: q+1
     170: 1
     171: 1
     172: 1
     173: 1
     174: q+1
     175: 1
     176: 1
     177: 1
     178: 1
     179: q+1
     180: 1
     181: 1
     182: 1
     183: 1
     184: q+1
     185: 1
     186: 1
     187: q^3+1
     188: q^3+1
     189: q^3+1
     190: 1
     191: 1
     192: 1
     193: 1
     194: 1
     195: 1
     196: 1
     197: 1
     198: q+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: q+1
     218: q+1
     219: 1
     220: 1
     221: q+1
     222: 1
     223: 1
     224: 1
     225: 1
     226: q+1
     227: 1
     228: 1
     229: 1
     230: 1
     231: q+1
     232: 1
     233: 1
     234: 1
     235: 1
     236: q+1
     237: 1
     238: 1
     239: q^3+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: q+1
     273: 1
     279: 1
     280: 1
     281: q+1
     282: 1
     283: 1
     284: 1
     285: 1
     286: q+1
     287: 1
     288: 1
     289: 1
     290: 1
     291: q+1
     292: 1
     293: 1
     294: 1
     295: 1
     296: 1
     297: 1
     298: 1
     302: 1
     303: 1
     304: 1
     305: 1
     306: 1
     307: 1
     308: 1
     309: 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
     328: 1
     329: 1
     330: 1
     331: 1
     337: 1
     338: 1
     339: q+1
     340: 1
     341: 1
     342: 1
     343: 1
     344: q+1
     345: 1
     346: 1
     347: 1
     348: 1
     354: 1
     355: 1
     356: 1
     357: 1
     358: 1
     361: 1
     362: 1
     363: 1
     364: 1
     365: 1
     366: 1
     367: 1
     368: 1
     369: 1
     370: 1
     371: 1
     372: 1
     373: 1
     374: 1
     375: 1
     376: 1
     377: 1
     378: 1
     379: 1
     380: 1
     381: 1
     382: 1
     384: 1
     395: 1
     396: 1
     397: q+1
     398: 1
     399: 1
     403: 1
     411: 1
     412: 1
     416: 1
     417: 1
     418: 1
     419: 1
     420: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     426: 1
     427: 1
     428: 1
     429: 1
     430: 1
     431: 1
     433: 1
     434: 1
     436: 1
     437: 1
     460: 1
     466: 1
     467: 1
     468: 1
     469: 1
     470: 1
     471: 1
     473: 1
     474: 1
     475: 1
     479: 1
     480: 1
     482: 1
     483: 1
     513: 1
     514: 1
     515: 1
     518: 1
     524: 1
     526: 1
     527: 1
     549: 1
     561: 1
     562: 1
     593: 1

594:   0: 1
       1: 1
       2: 1
       3: q+1
       4: 1
       5: 1
       6: q+1
       7: 1
       8: 1
       9: 1
      10: q+1
      11: 1
      12: q+1
      14: q+1
      15: 1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      20: q+1
      21: 1
      22: q+1
      23: 1
      24: q+1
      25: q+1
      26: 1
      27: q+1
      28: 1
      29: q+1
      30: q+1
      31: 1
      32: q+1
      33: 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: 1
      45: 1
      46: 1
      47: 1
      48: 1
      49: 1
      50: 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: q+1
      63: 1
      64: q+1
      65: q+1
      66: 1
      67: q+1
      68: 1
      69: q+1
      70: q+1
      71: 1
      72: 1
      73: q+1
      74: q+1
      75: q+1
      76: 1
      77: 1
      79: 1
      80: 1
      81: 1
      82: 1
      84: 1
      85: 1
      86: 1
      87: 1
      88: 1
      89: 1
      90: 1
      91: q+1
      92: q+1
      93: q+1
      94: q+1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 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: 1
     114: q+1
     115: q+1
     116: 1
     117: 1
     118: q+1
     119: q+1
     120: q+1
     121: 1
     122: 1
     124: 1
     125: 1
     126: 1
     127: 1
     129: 1
     130: 1
     131: 1
     132: 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
     144: 1
     145: 1
     147: 1
     148: 1
     149: 1
     150: 1
     151: 1
     152: 1
     153: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     161: 1
     162: 1
     163: 1
     164: q+1
     165: q+1
     166: q+1
     167: 1
     168: 1
     170: 1
     171: 1
     172: 1
     173: 1
     175: 1
     176: 1
     177: 1
     178: 1
     180: 1
     181: 1
     182: 1
     183: 1
     185: 1
     186: 1
     187: q+1
     188: q+1
     189: q+1
     190: 1
     191: 1
     192: 1
     193: 1
     194: 1
     195: 1
     198: 1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     207: 1
     208: 1
     209: 1
     211: 1
     212: 1
     213: 1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     222: 1
     223: 1
     224: 1
     225: 1
     227: 1
     228: 1
     229: 1
     230: 1
     232: 1
     233: 1
     234: 1
     235: 1
     237: 1
     238: 1
     239: q+1
     240: 1
     241: 1
     242: 1
     243: 1
     244: 1
     245: 1
     248: 1
     249: 1
     250: 1
     251: 1
     252: 1
     253: 1
     257: 1
     258: 1
     259: 1
     261: 1
     262: 1
     265: 1
     266: 1
     267: 1
     268: 1
     269: 1
     271: 1
     272: 1
     275: 1
     277: 1
     278: 1
     279: 1
     280: 1
     282: 1
     283: 1
     284: 1
     285: 1
     287: 1
     288: 1
     289: 1
     290: 1
     292: 1
     293: 1
     294: 1
     295: 1
     296: 1
     300: 1
     301: 1
     302: 1
     303: 1
     304: 1
     305: 1
     306: 1
     307: 1
     313: 1
     314: 1
     315: 1
     316: 1
     317: 1
     319: 1
     322: 1
     323: 1
     324: 1
     325: 1
     326: 1
     327: 1
     333: 1
     335: 1
     336: 1
     337: 1
     338: 1
     340: 1
     341: 1
     342: 1
     343: 1
     345: 1
     346: 1
     347: 1
     350: 1
     351: 1
     353: 1
     354: 1
     355: 1
     356: 1
     363: 1
     364: 1
     365: 1
     366: 1
     367: 1
     368: 1
     373: 1
     374: 1
     375: 1
     376: 1
     377: 1
     378: 1
     386: 1
     388: 1
     389: 1
     391: 1
     393: 1
     394: 1
     395: 1
     396: 1
     398: 1
     399: 1
     400: 1
     401: 1
     406: 1
     407: 1
     408: 1
     411: 1
     418: 1
     419: 1
     420: 1
     421: 1
     422: 1
     423: 1
     427: 1
     428: 1
     429: 1
     439: 1
     441: 1
     442: 1
     444: 1
     446: 1
     447: 1
     448: 1
     449: 1
     450: 1
     454: 1
     455: 1
     456: 1
     467: 1
     468: 1
     469: 1
     474: 1
     485: 1
     487: 1
     488: 1
     490: 1
     492: 1
     493: 1
     494: 1
     495: 1
     496: 1
     497: 1
     498: 1
     504: 1
     514: 1
     529: 1
     531: 1
     532: 1
     533: 1
     534: 1
     535: 1
     536: 1
     564: 1
     566: 1
     567: 1
     568: 1
     569: 1
     570: 1
     594: 1

595:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q+1
       5: q^3+2q+1
       6: q^2+2q+1
       7: q+1
       8: q+1
       9: q^3+2q+1
      10: q^3+2q+1
      11: q^4+q^3+q+1
      12: q^2+2q+1
      13: q+1
      14: q^3+2q+1
      15: q^4+q^3+q+1
      16: q^3+2q+1
      17: q^3+2q+1
      18: q^3+2q+1
      19: q^3+2q+1
      20: q^4+q^3+q+1
      21: q^3+2q+1
      22: q^3+2q+1
      23: q^4+q^3+q+1
      24: q^3+2q+1
      25: q^3+2q+1
      26: 2q+1
      27: 2q+1
      28: q+1
      29: 2q+1
      30: q^3+q+1
      31: q^2+2q+1
      32: q^2+2q+1
      33: q+1
      34: q^3+2q+1
      35: q^3+2q+1
      36: q^2+2q+1
      37: q+1
      38: q^2+2q+1
      39: q^3+2q+1
      40: q^3+2q+1
      41: q^2+2q+1
      42: q^2+2q+1
      43: q^3+2q+1
      44: q+1
      45: q^3+2q+1
      46: q+1
      47: q+1
      48: q+1
      49: q^3+q+1
      50: q^3+q+1
      51: q^3+2q+1
      52: q^3+2q+1
      53: 2q+1
      54: q^3+2q+1
      55: 2q+1
      56: q^2+2q+1
      57: q^3+q+1
      58: q+1
      59: q+1
      60: q+1
      61: 2q+1
      62: 2q+1
      63: q+1
      64: 2q+1
      65: q^3+q+1
      66: 2q+1
      67: 2q+1
      68: q+1
      69: 2q+1
      70: q^3+q+1
      71: q^2+2q+1
      72: q+1
      73: q^2+2q+1
      74: q^3+2q+1
      75: q^3+2q+1
      76: q^2+2q+1
      77: q^2+2q+1
      78: q+1
      79: q^3+2q+1
      80: q^3+2q+1
      81: q+1
      82: q+1
      83: q+1
      84: q^3+q+1
      85: q^3+q+1
      86: q+1
      87: q+1
      88: q+1
      89: q^3+q+1
      90: q^3+q+1
      91: q+1
      92: 2q+1
      93: 2q+1
      94: q^3+2q+1
      95: q^2+2q+1
      96: 2q+1
      97: 2q+1
      98: q^3+2q+1
      99: 2q+1
     100: q+1
     101: q+1
     102: q+1
     103: q+1
     104: q^3+q+1
     105: q+1
     106: q+1
     107: q^3+q+1
     108: q+1
     109: q+1
     110: q+1
     111: 2q+1
     112: 2q+1
     113: q+1
     114: 2q+1
     115: q^3+q+1
     116: 2q+1
     117: q+1
     118: 2q+1
     119: 2q+1
     120: q^3+q+1
     121: q^2+2q+1
     122: q^2+2q+1
     123: q+1
     124: q^3+2q+1
     125: q^3+2q+1
     126: q+1
     127: q+1
     128: q+1
     129: q^3+q+1
     130: q^3+q+1
     131: q+1
     132: q+1
     133: q+1
     134: q^3+q+1
     135: q^3+q+1
     136: q+1
     137: 2q+1
     138: q+1
     139: 2q+1
     140: 2q+1
     141: 2q+1
     142: 2q+1
     143: q^3+2q+1
     144: 2q+1
     145: q^2+2q+1
     146: q+1
     147: q+1
     148: q+1
     149: q+1
     150: q^3+q+1
     151: q+1
     152: q+1
     153: q+1
     154: q+1
     155: q+1
     156: q^3+q+1
     157: q+1
     158: q+1
     159: q+1
     160: q+1
     161: q+1
     162: 2q+1
     163: q+1
     164: 2q+1
     165: 2q+1
     166: q^3+q+1
     167: 2q+1
     168: 2q+1
     169: q+1
     170: 2q+1
     171: q^3+q+1
     172: q+1
     173: q+1
     174: q+1
     175: q^3+q+1
     176: q^3+q+1
     177: q+1
     178: q+1
     180: q+1
     181: q+1
     182: q+1
     183: q+1
     184: q+1
     185: q^3+q+1
     186: q^3+q+1
     187: q+1
     188: q+1
     189: 2q+1
     190: 2q+1
     191: 2q+1
     192: 2q+1
     193: q+1
     194: 2q+1
     195: 2q+1
     196: q+1
     197: q+1
     198: q+1
     199: q+1
     200: q+1
     201: q^3+q+1
     202: q+1
     203: q+1
     204: q+1
     205: q+1
     207: q+1
     208: q+1
     209: q+1
     210: q+1
     211: q+1
     212: q^3+q+1
     213: q+1
     214: q+1
     215: q+1
     216: q+1
     217: q+1
     218: q+1
     219: 2q+1
     220: 2q+1
     221: q+1
     222: 2q+1
     223: q^3+q+1
     224: 1
     225: 1
     226: 1
     227: 1
     228: q^3+1
     229: q+1
     230: q+1
     232: q+1
     233: q+1
     234: q+1
     235: q+1
     236: q+1
     237: q^3+q+1
     238: q^3+q+1
     239: q+1
     240: 2q+1
     241: q+1
     242: q+1
     243: 2q+1
     244: 2q+1
     245: 2q+1
     246: q+1
     247: q+1
     248: q+1
     249: q+1
     250: q+1
     251: 1
     252: 1
     253: 1
     254: 1
     255: q+1
     257: q+1
     258: q+1
     259: q+1
     261: q+1
     262: q+1
     263: q+1
     264: q+1
     265: q+1
     266: q+1
     267: q^3+q+1
     268: q+1
     269: q+1
     270: q+1
     271: q+1
     272: q+1
     274: q+1
     275: q+1
     277: q+1
     278: q+1
     279: 1
     280: 1
     281: 1
     282: 1
     283: q^3+1
     284: q+1
     285: q+1
     287: q+1
     288: q+1
     289: 1
     290: 1
     291: 1
     292: 1
     293: q^3+1
     294: q+1
     295: q+1
     296: 2q+1
     297: q+1
     298: q+1
     299: q+1
     300: q+1
     301: q+1
     302: q+1
     303: 1
     304: 1
     305: 1
     306: 1
     307: 1
     308: 1
     309: 1
     313: q+1
     314: q+1
     315: q+1
     316: q+1
     317: q+1
     319: q+1
     320: q+1
     321: q+1
     322: q+1
     323: q+1
     324: q+1
     325: 1
     326: 1
     327: 1
     328: 1
     329: q+1
     332: q+1
     333: q+1
     335: q+1
     336: q+1
     337: 1
     338: 1
     340: 1
     341: 1
     342: 1
     343: 1
     344: 1
     345: 1
     346: q^3+1
     347: q+1
     348: q+1
     349: q+1
     350: q+1
     351: q+1
     352: q+1
     353: q+1
     354: 1
     355: 1
     356: 1
     357: 1
     358: 1
     363: q+1
     364: q+1
     365: q+1
     366: 1
     367: 1
     368: 1
     371: q+1
     372: q+1
     373: q+1
     374: 1
     375: 1
     376: 1
     377: 1
     378: 1
     379: 1
     380: 1
     385: q+1
     386: q+1
     388: q+1
     389: q+1
     390: 1
     391: 1
     393: 1
     394: 1
     395: 1
     396: 1
     398: 1
     399: 1
     400: q+1
     401: q+1
     402: q+1
     403: 1
     404: q+1
     405: q+1
     406: q+1
     407: 1
     408: 1
     409: 1
     411: 1
     412: 1
     418: q+1
     419: 1
     420: 1
     421: 1
     422: 1
     423: 1
     426: q+1
     427: 1
     428: 1
     429: 1
     430: 1
     431: 1
     438: 1
     439: 1
     441: 1
     442: 1
     443: 1
     444: 1
     446: 1
     447: 1
     448: q+1
     449: 1
     450: 1
     451: q+1
     452: 1
     453: q+1
     454: 1
     455: 1
     456: 1
     457: 1
     458: 1
     460: 1
     467: 1
     468: 1
     469: 1
     473: 1
     474: 1
     475: 1
     484: 1
     485: 1
     487: 1
     488: 1
     489: 1
     490: 1
     492: 1
     493: 1
     494: 1
     495: 1
     496: 1
     497: 1
     498: 1
     499: 1
     500: q+1
     501: 1
     502: 1
     503: 1
     504: 1
     505: 1
     514: 1
     518: 1
     528: 1
     529: 1
     531: 1
     532: 1
     533: 1
     534: 1
     535: 1
     536: 1
     537: 1
     538: 1
     539: 1
     540: 1
     541: 1
     570: 1
     572: 1
     573: 1
     574: 1
     595: 1

596:   0: q^3+2q^2+2q+1
       1: q^2+2q+1
       2: q^3+2q^2+2q+1
       3: q^3+2q^2+2q+1
       4: q^2+q+1
       5: q^2+2q+1
       6: q^2+2q+1
       7: q+1
       8: q^2+q+1
       9: q^2+2q+1
      10: q^2+2q+1
      11: q+1
      12: q^2+2q+1
      13: q^2+q+1
      14: q^2+2q+1
      15: q+1
      16: q^2+2q+1
      17: q^2+2q+1
      18: q+1
      19: q+1
      20: q+1
      21: q^2+2q+1
      22: q^2+2q+1
      23: q+1
      24: q^2+2q+1
      25: q+1
      26: q^2+2q+1
      27: q^2+2q+1
      28: q+1
      29: q^2+2q+1
      30: q+1
      31: q^2+2q+1
      32: q^2+2q+1
      33: q+1
      34: q+1
      35: q+1
      36: q^3+2q^2+2q+1
      37: q^2+q+1
      38: q^2+2q+1
      39: q^2+2q+1
      40: q^2+2q+1
      41: q^3+2q^2+2q+1
      42: q^2+2q+1
      43: q^2+2q+1
      44: q^2+q+1
      45: q^2+2q+1
      46: q^2+q+1
      47: q+1
      48: q^2+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^2+2q+1
      57: q+1
      58: q+1
      59: q+1
      60: q^2+q+1
      61: q^2+2q+1
      62: q^2+2q+1
      63: q+1
      64: q^2+2q+1
      65: q+1
      66: q^2+2q+1
      67: q^2+2q+1
      68: q+1
      69: q+1
      70: q+1
      71: q^2+2q+1
      72: q+1
      73: q^2+2q+1
      74: q+1
      75: q+1
      76: q^3+2q^2+2q+1
      77: q^2+2q+1
      78: q^2+q+1
      79: q^2+2q+1
      80: q^2+2q+1
      81: q^2+q+1
      82: q+1
      83: q^2+q+1
      84: q+1
      85: q+1
      86: q^2+q+1
      87: q+1
      88: q^2+q+1
      89: q+1
      90: q+1
      91: q+1
      92: q+1
      93: q^2+2q+1
      94: q+1
      95: q^2+2q+1
      96: q^2+2q+1
      97: q^2+2q+1
      98: q^2+2q+1
      99: q^2+2q+1
     100: q^2+q+1
     101: q+1
     102: q+1
     103: q+1
     104: q+1
     105: q+1
     106: q+1
     107: q+1
     108: q+1
     109: q+1
     110: q^2+q+1
     111: q^2+2q+1
     112: q^2+2q+1
     113: q+1
     114: q+1
     115: q+1
     116: q^2+2q+1
     117: q+1
     118: q^2+2q+1
     119: q+1
     120: q+1
     121: q^2+2q+1
     122: q^2+2q+1
     123: q+1
     124: q+1
     125: q+1
     126: q^2+q+1
     127: q+1
     128: q^2+q+1
     129: q+1
     130: q+1
     131: q^2+q+1
     132: q+1
     133: q^2+q+1
     134: q+1
     135: q+1
     136: q+1
     137: q+1
     138: q+1
     139: q+1
     140: q^2+2q+1
     141: q^2+2q+1
     142: q+1
     143: q+1
     144: q^2+2q+1
     145: q^2+2q+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^2+q+1
     155: q^2+q+1
     156: q+1
     157: q+1
     158: q+1
     159: q+1
     160: q+1
     161: q+1
     162: q^2+2q+1
     163: q+1
     164: q^2+2q+1
     165: q+1
     166: q+1
     167: q^2+2q+1
     168: q^2+2q+1
     169: q+1
     170: q+1
     171: q+1
     172: q+1
     173: q+1
     174: q+1
     175: 1
     176: 1
     177: q^2+q+1
     178: q+1
     180: q+1
     181: q+1
     182: q^2+q+1
     183: q+1
     184: q^2+q+1
     185: q+1
     186: q+1
     187: q+1
     188: q+1
     189: q+1
     190: q^2+2q+1
     191: q+1
     192: q+1
     193: q+1
     194: q+1
     195: q^2+2q+1
     196: q+1
     197: q+1
     198: q+1
     199: q+1
     200: 1
     201: 1
     202: q+1
     203: q+1
     204: q+1
     205: q+1
     207: q+1
     208: q+1
     209: q+1
     210: q+1
     211: q+1
     212: q+1
     213: q+1
     214: q^2+q+1
     215: q+1
     216: q+1
     217: q+1
     218: q+1
     219: q^2+2q+1
     220: q^2+2q+1
     221: q+1
     222: q+1
     223: q+1
     224: q+1
     225: q+1
     226: q+1
     227: 1
     228: 1
     229: q^2+q+1
     230: q+1
     232: q+1
     233: q+1
     234: q+1
     235: q+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^2+2q+1
     245: q+1
     246: q+1
     247: q+1
     248: 1
     249: q+1
     250: 1
     251: 1
     252: 1
     253: q+1
     254: q+1
     255: q+1
     257: q+1
     258: q+1
     259: q+1
     261: q+1
     262: q+1
     263: q+1
     264: q+1
     265: q+1
     266: 1
     267: 1
     268: q+1
     269: q+1
     270: q+1
     271: q+1
     272: q+1
     274: q^2+q+1
     275: q+1
     277: q+1
     278: q+1
     279: q+1
     280: q+1
     281: q+1
     282: 1
     283: 1
     284: q+1
     285: q+1
     287: 1
     288: 1
     289: q+1
     290: q+1
     291: q+1
     292: 1
     293: 1
     294: q+1
     295: q+1
     296: q+1
     297: 1
     298: q+1
     299: q+1
     300: q+1
     301: q+1
     302: 1
     303: 1
     304: 1
     305: 1
     306: q+1
     307: 1
     308: q+1
     309: q+1
     313: q+1
     314: 1
     315: 1
     316: q+1
     317: q+1
     319: q+1
     320: q+1
     321: q+1
     322: 1
     323: q+1
     324: 1
     325: 1
     326: 1
     327: q+1
     328: q+1
     329: q+1
     332: q+1
     333: q+1
     335: 1
     336: 1
     337: q+1
     338: q+1
     340: 1
     341: 1
     342: q+1
     343: q+1
     344: q+1
     345: 1
     346: 1
     347: q+1
     348: 1
     349: q+1
     350: 1
     351: 1
     352: q+1
     353: q+1
     354: 1
     355: 1
     356: 1
     357: 1
     358: q+1
     363: 1
     364: q+1
     365: 1
     366: 1
     367: 1
     368: q+1
     371: 1
     372: q+1
     373: 1
     374: 1
     375: 1
     376: 1
     377: q+1
     378: 1
     379: q+1
     380: q+1
     385: q+1
     386: q+1
     388: 1
     389: 1
     390: q+1
     391: q+1
     393: 1
     394: 1
     395: q+1
     396: q+1
     398: 1
     399: 1
     400: 1
     401: 1
     402: q+1
     403: 1
     404: 1
     405: q+1
     406: 1
     407: 1
     408: 1
     409: q+1
     411: 1
     412: 1
     418: 1
     419: 1
     420: 1
     421: 1
     422: q+1
     423: 1
     426: 1
     427: 1
     428: 1
     429: 1
     430: 1
     431: q+1
     438: q+1
     439: q+1
     441: 1
     442: 1
     443: q+1
     444: q+1
     446: 1
     447: 1
     448: 1
     449: 1
     450: 1
     451: 1
     452: q+1
     453: 1
     454: 1
     455: 1
     456: 1
     457: q+1
     458: 1
     460: 1
     467: 1
     468: 1
     469: 1
     473: 1
     474: 1
     475: 1
     484: 1
     485: 1
     487: 1
     489: q+1
     490: q+1
     492: 1
     493: 1
     495: 1
     496: 1
     497: 1
     498: 1
     499: 1
     500: 1
     501: q+1
     502: 1
     503: 1
     504: 1
     505: 1
     514: 1
     518: 1
     528: 1
     529: 1
     531: 1
     535: 1
     536: 1
     537: 1
     538: 1
     539: 1
     540: 1
     541: 1
     563: 1
     564: 1
     566: 1
     569: 1
     571: 1
     573: 1
     574: 1
     596: 1

597:   0: q^2+1
       1: q^2+1
       2: q^3+q^2+1
       3: q^2+1
       4: q^2+1
       5: 1
       6: q^2+1
       7: q^2+1
       8: q^3+q^2+1
      10: 1
      11: 1
      12: 1
      13: q^3+q^2+1
      16: q^6+1
      18: q^6+1
      26: 1
      27: 1
      28: 1
      29: 1
      31: q^2+1
      32: q^2+1
      33: q^2+1
      34: q^6+1
      36: q^2+1
      37: q^2+1
      38: 1
      39: 1
      41: q^2+1
      42: q^2+1
      43: 1
      44: q^3+q^2+1
      46: q^2+1
      47: q^2+1
      48: q^3+q^2+1
      49: 1
      53: 1
      55: 1
      56: q^2+1
      58: 1
      59: q^2+1
      60: q^2+1
      66: 1
      67: 1
      68: 1
      69: 1
      71: q^2+1
      72: q^2+1
      73: 1
      74: 1
      76: q^2+1
      77: 1
      78: q^2+1
      79: 1
      81: q^2+1
      82: q^2+1
      83: q^3+q^2+1
      84: 1
      86: q^2+1
      87: q^2+1
      88: q^3+q^2+1
      89: 1
      92: 1
      95: 1
      97: 1
      99: 1
     100: q^2+1
     102: 1
     103: q^2+1
     105: 1
     106: q^2+1
     108: 1
     109: q^2+1
     110: q^2+1
     116: 1
     117: 1
     118: 1
     119: 1
     121: q^2+1
     122: 1
     123: q^2+1
     124: 1
     126: q^2+1
     127: 1
     128: q^2+1
     129: 1
     131: q^2+1
     132: q^2+1
     133: q^3+q^2+1
     134: 1
     139: 1
     140: 1
     142: 1
     145: 1
     146: q^2+1
     148: 1
     149: 1
     151: 1
     153: 1
     154: q^2+1
     155: q^2+1
     157: 1
     158: q^2+1
     160: 1
     161: q^2+1
     167: 1
     168: 1
     169: 1
     170: 1
     172: q^2+1
     173: 1
     174: q^2+1
     175: 1
     177: q^2+1
     178: q^2+1
     179: q^3+q^2+1
     180: 1
     182: q^2+1
     183: 1
     184: q^2+1
     185: 1
     191: 1
     194: 1
     195: 1
     196: 1
     197: 1
     199: 1
     200: 1
     202: 1
     205: q^2+1
     206: q^2+1
     208: 1
     209: q^2+1
     210: q^2+1
     211: 1
     213: 1
     214: q^2+1
     216: 1
     218: 1
     224: 1
     225: 1
     226: 1
     227: 1
     229: q^2+1
     230: 1
     231: q^2+1
     232: 1
     234: q^2+1
     235: 1
     236: q^2+1
     237: 1
     245: 1
     247: 1
     248: 1
     252: 1
     253: 1
     254: 1
     255: 1
     256: q^2+1
     257: 1
     259: 1
     260: q^2+1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     268: 1
     270: q^2+1
     273: q^2+1
     274: q^2+1
     275: 1
     276: q^2+1
     277: 1
     284: q^2+1
     285: 1
     286: q^2+1
     287: 1
     289: 1
     290: 1
     291: 1
     292: 1
     297: 1
     299: 1
     301: 1
     307: 1
     309: 1
     310: q^2+1
     311: 1
     312: 1
     313: 1
     314: 1
     316: 1
     318: q^2+1
     320: 1
     322: 1
     326: 1
     327: 1
     328: 1
     329: 1
     330: q^2+1
     331: q^2+1
     332: q^2+1
     333: 1
     334: q^2+1
     335: 1
     337: 1
     338: 1
     339: 1
     340: 1
     349: 1
     350: 1
     352: 1
     357: 1
     359: 1
     360: q^2+1
     361: 1
     363: 1
     367: 1
     368: 1
     369: 1
     370: 1
     371: 1
     378: 1
     380: 1
     381: 1
     382: 1
     383: q^2+1
     384: q^2+1
     385: 1
     386: 1
     387: 1
     388: 1
     390: 1
     391: 1
     392: 1
     393: 1
     400: 1
     402: 1
     404: 1
     408: 1
     409: 1
     410: 1
     413: 1
     414: 1
     415: 1
     416: 1
     423: 1
     425: 1
     430: 1
     432: 1
     433: 1
     435: q^2+1
     436: 1
     437: 1
     451: 1
     458: 1
     461: 1
     462: 1
     465: 1
     470: 1
     472: 1
     476: 1
     477: 1
     478: 1
     479: 1
     481: 1
     482: 1
     508: 1
     511: 1
     516: 1
     517: 1
     519: 1
     520: 1
     522: 1
     526: 1
     550: 1
     552: 1
     553: 1
     554: 1
     557: 1
     581: 1
     584: 1
     597: 1

598:   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^4+1
      10: q+1
      11: q+1
      12: q+1
      13: q+1
      14: q^4+1
      15: q^4+1
      16: q+1
      17: q^4+1
      18: q+1
      19: q^4+1
      20: q^4+1
      21: 1
      22: 1
      23: 1
      24: 1
      25: 1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      30: q^4+1
      31: q+1
      32: q+1
      33: q+1
      34: q+1
      35: q^4+1
      36: q+1
      37: q+1
      38: q+1
      39: q+1
      40: q^4+1
      41: q+1
      42: q+1
      43: q+1
      44: q+1
      45: q^4+1
      46: q+1
      47: q+1
      48: q+1
      49: q+1
      50: q^4+1
      51: 1
      52: 1
      53: q+1
      54: 1
      55: q+1
      56: q+1
      57: 1
      58: q+1
      59: q+1
      60: q+1
      61: 1
      62: 1
      63: 1
      64: 1
      65: 1
      66: q+1
      67: q+1
      68: q+1
      69: q+1
      70: q^4+1
      71: q+1
      72: q+1
      73: q+1
      74: q+1
      75: q^4+1
      76: q+1
      77: q+1
      78: q+1
      79: q+1
      80: q^4+1
      81: q+1
      82: q+1
      83: q+1
      84: q+1
      85: q^4+1
      86: 1
      87: 1
      88: 1
      89: 1
      90: 1
      91: 1
      92: q+1
      93: 1
      94: 1
      95: q+1
      96: 1
      97: q+1
      98: 1
      99: q+1
     100: q+1
     101: 1
     102: q+1
     103: q+1
     104: 1
     105: q+1
     106: q+1
     107: 1
     108: 1
     109: 1
     110: 1
     111: 1
     112: 1
     113: 1
     114: 1
     115: 1
     116: q+1
     117: q+1
     118: q+1
     119: q+1
     120: q^4+1
     121: q+1
     122: q+1
     123: q+1
     124: q+1
     125: q^4+1
     126: q+1
     127: q+1
     128: q+1
     129: q+1
     130: q^4+1
     131: 1
     132: 1
     133: 1
     134: 1
     135: 1
     136: 1
     137: 1
     138: 1
     139: q+1
     140: q+1
     141: 1
     142: q+1
     143: 1
     144: 1
     145: q+1
     146: q+1
     147: 1
     148: q+1
     149: q+1
     150: 1
     151: q+1
     152: 1
     153: q+1
     154: q+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: q+1
     168: q+1
     169: q+1
     170: q+1
     171: q^4+1
     172: q+1
     173: q+1
     174: q+1
     175: q+1
     176: q^4+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: q+1
     192: 1
     193: 1
     194: q+1
     195: q+1
     196: q+1
     197: q+1
     198: 1
     199: q+1
     200: q+1
     201: 1
     202: q+1
     203: 1
     204: 1
     205: q+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: q+1
     225: q+1
     226: q+1
     227: q+1
     228: q^4+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: q+1
     246: 1
     247: q+1
     248: q+1
     249: 1
     250: 1
     251: 1
     252: q+1
     253: q+1
     254: q+1
     255: q+1
     256: 1
     257: 1
     258: 1
     259: 1
     260: 1
     261: 1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     267: 1
     268: 1
     269: 1
     270: 1
     271: 1
     272: 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: q+1
     298: 1
     299: 1
     300: 1
     301: 1
     302: 1
     303: 1
     304: 1
     305: 1
     306: 1
     307: q+1
     308: 1
     309: q+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
     328: 1
     329: 1
     332: 1
     333: 1
     334: 1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: 1
     341: 1
     347: 1
     348: 1
     349: 1
     350: 1
     351: 1
     352: 1
     353: 1
     354: 1
     355: 1
     356: 1
     357: q+1
     358: 1
     359: 1
     360: 1
     361: 1
     362: 1
     363: 1
     364: 1
     365: 1
     366: 1
     367: 1
     368: 1
     369: 1
     370: 1
     371: 1
     372: 1
     373: 1
     374: 1
     378: 1
     380: 1
     385: 1
     386: 1
     387: 1
     388: 1
     389: 1
     390: 1
     391: 1
     392: 1
     393: 1
     394: 1
     400: 1
     401: 1
     402: 1
     403: 1
     404: 1
     405: 1
     406: 1
     407: 1
     408: 1
     409: 1
     410: 1
     411: 1
     412: 1
     413: 1
     414: 1
     415: 1
     416: 1
     417: 1
     418: 1
     419: 1
     423: 1
     425: 1
     426: 1
     427: 1
     430: 1
     438: 1
     439: 1
     440: 1
     441: 1
     442: 1
     448: 1
     449: 1
     450: 1
     451: 1
     452: 1
     453: 1
     454: 1
     458: 1
     459: 1
     460: 1
     461: 1
     462: 1
     463: 1
     465: 1
     466: 1
     467: 1
     470: 1
     473: 1
     484: 1
     485: 1
     486: 1
     487: 1
     488: 1
     494: 1
     495: 1
     496: 1
     499: 1
     500: 1
     502: 1
     503: 1
     506: 1
     508: 1
     509: 1
     510: 1
     511: 1
     513: 1
     534: 1
     538: 1
     539: 1
     543: 1
     544: 1
     545: 1
     547: 1
     572: 1
     576: 1
     577: 1
     598: 1

599:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: q+1
       6: q^2+2q+1
       7: q^2+2q+1
       8: q^2+2q+1
       9: q+1
      10: q+1
      11: q+1
      12: q^2+2q+1
      13: q^2+2q+1
      14: q+1
      15: q+1
      16: q+1
      17: q+1
      18: q+1
      19: 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
      31: q^2+2q+1
      32: q^2+2q+1
      33: q^2+2q+1
      34: q+1
      35: q+1
      36: q^2+2q+1
      37: q^2+2q+1
      38: q^2+2q+1
      39: q+1
      40: q+1
      41: q^2+2q+1
      42: q^2+2q+1
      43: q+1
      44: q^2+2q+1
      45: q+1
      46: q^2+2q+1
      47: q^2+2q+1
      48: q^2+2q+1
      49: q+1
      50: q+1
      51: q+1
      52: q+1
      53: q+1
      54: q+1
      55: q+1
      56: q^2+2q+1
      57: q+1
      58: q+1
      59: q^2+2q+1
      60: q^2+2q+1
      61: q+1
      62: q+1
      63: q+1
      64: q+1
      66: q+1
      67: q+1
      68: q+1
      69: q+1
      71: q^2+2q+1
      72: q^2+2q+1
      73: q^2+2q+1
      74: q+1
      75: q+1
      76: q^2+2q+1
      77: q^2+2q+1
      78: q^2+2q+1
      79: q+1
      80: q+1
      81: q^2+2q+1
      82: q^2+2q+1
      83: q^2+2q+1
      84: q+1
      85: q+1
      86: q+1
      87: q+1
      88: q+1
      89: 1
      90: 1
      92: q+1
      93: q+1
      94: q+1
      95: q^2+2q+1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     100: q^2+2q+1
     101: q+1
     102: q+1
     103: q^2+2q+1
     104: q+1
     105: q+1
     106: q^2+2q+1
     107: 1
     108: 1
     109: q+1
     110: q+1
     111: q+1
     112: q+1
     113: q+1
     114: q+1
     116: q+1
     117: q+1
     118: q+1
     119: q+1
     121: q^2+2q+1
     122: q^2+2q+1
     123: q^2+2q+1
     124: q+1
     125: q+1
     126: q^2+2q+1
     127: q^2+2q+1
     128: q^2+2q+1
     129: q+1
     130: q+1
     131: q+1
     132: q+1
     133: q+1
     134: 1
     135: 1
     137: q+1
     139: q+1
     140: q+1
     141: q+1
     142: q+1
     143: q+1
     144: q+1
     145: q^2+2q+1
     146: q^2+2q+1
     147: q+1
     148: q+1
     149: q^2+2q+1
     150: q+1
     151: q+1
     152: q+1
     153: q+1
     154: q^2+2q+1
     155: q+1
     156: 1
     157: 1
     158: q+1
     159: 1
     160: 1
     161: q+1
     162: q+1
     163: q+1
     164: q+1
     165: q+1
     167: q+1
     168: q+1
     169: q+1
     170: q+1
     172: q^2+2q+1
     173: q^2+2q+1
     174: q^2+2q+1
     175: q+1
     176: q+1
     177: q+1
     178: q+1
     179: q+1
     180: 1
     181: 1
     182: q+1
     183: q+1
     184: q+1
     185: 1
     186: 1
     189: q+1
     190: q+1
     191: q+1
     192: q+1
     194: q+1
     195: q+1
     196: q+1
     197: q^2+2q+1
     198: q+1
     199: q+1
     200: q+1
     201: q+1
     202: q^2+2q+1
     203: q+1
     204: q+1
     205: q^2+2q+1
     206: q+1
     207: 1
     208: 1
     209: q+1
     210: q+1
     211: q+1
     212: 1
     213: 1
     214: q+1
     215: 1
     216: 1
     217: 1
     218: 1
     219: q+1
     220: q+1
     221: q+1
     222: q+1
     224: q+1
     225: q+1
     226: q+1
     227: q+1
     229: q+1
     230: q+1
     231: q+1
     232: 1
     233: 1
     234: q+1
     235: q+1
     236: q+1
     237: 1
     238: 1
     240: q+1
     243: q+1
     244: q+1
     245: q+1
     246: q+1
     247: q+1
     248: q+1
     249: q+1
     250: q+1
     252: q+1
     253: q+1
     254: q+1
     255: q^2+2q+1
     256: q+1
     257: q+1
     258: 1
     259: 1
     260: q+1
     261: 1
     262: 1
     263: q+1
     264: 1
     265: 1
     266: 1
     267: 1
     268: q+1
     269: 1
     270: q+1
     271: 1
     272: 1
     274: q+1
     275: q+1
     276: q+1
     277: 1
     278: 1
     279: q+1
     280: q+1
     281: q+1
     282: q+1
     284: q+1
     285: q+1
     286: q+1
     287: 1
     288: 1
     289: 1
     290: 1
     291: 1
     292: 1
     296: q+1
     297: q+1
     298: q+1
     299: q+1
     300: 1
     301: 1
     302: q+1
     305: q+1
     306: q+1
     307: q+1
     308: q+1
     309: q+1
     310: q+1
     311: q+1
     312: 1
     313: 1
     314: 1
     315: 1
     316: q+1
     317: 1
     318: q+1
     319: 1
     320: 1
     321: 1
     322: 1
     323: 1
     324: 1
     326: 1
     327: 1
     328: 1
     329: q+1
     332: q+1
     333: q+1
     334: q+1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: 1
     342: 1
     343: 1
     344: 1
     345: 1
     348: q+1
     349: 1
     350: 1
     351: 1
     352: q+1
     353: 1
     356: q+1
     357: q+1
     358: q+1
     359: q+1
     360: q+1
     361: 1
     362: 1
     363: 1
     364: 1
     365: 1
     367: 1
     368: 1
     369: 1
     370: q+1
     371: 1
     372: 1
     373: 1
     376: 1
     377: 1
     378: 1
     379: 1
     380: 1
     385: q+1
     386: q+1
     387: q+1
     388: 1
     389: 1
     390: 1
     391: 1
     392: 1
     393: 1
     395: 1
     396: 1
     397: 1
     398: 1
     400: 1
     401: 1
     402: q+1
     404: 1
     405: 1
     406: 1
     408: 1
     409: 1
     410: q+1
     412: q+1
     413: 1
     414: 1
     415: q+1
     416: 1
     417: 1
     418: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     426: 1
     429: 1
     430: 1
     431: 1
     438: 1
     439: 1
     440: 1
     441: 1
     443: 1
     444: 1
     445: 1
     446: 1
     448: 1
     450: 1
     451: 1
     452: 1
     453: 1
     456: 1
     457: 1
     458: 1
     459: 1
     461: q+1
     462: 1
     463: 1
     464: 1
     465: 1
     466: 1
     469: 1
     470: 1
     471: 1
     475: 1
     484: 1
     485: 1
     486: 1
     487: 1
     489: 1
     490: 1
     491: 1
     492: 1
     495: 1
     498: 1
     499: 1
     500: 1
     501: 1
     502: 1
     505: 1
     506: 1
     507: 1
     508: 1
     509: 1
     510: 1
     511: 1
     512: 1
     515: 1
     528: 1
     529: 1
     530: 1
     531: 1
     535: 1
     537: 1
     538: 1
     540: 1
     542: 1
     543: 1
     544: 1
     545: 1
     546: 1
     548: 1
     573: 1
     576: 1
     578: 1
     579: 1
     599: 1

600:   0: q^2+2q+1
       1: q^3+2q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: q^3+2q+1
       6: q^3+2q+1
       7: q^3+2q+1
       8: q^2+2q+1
       9: q^3+2q+1
      10: q^3+2q+1
      11: q^3+2q+1
      12: q^3+2q+1
      13: q^2+2q+1
      14: q^3+2q+1
      15: q^3+2q+1
      16: q^3+2q+1
      17: q^3+2q+1
      18: q^4+q^3+q+1
      19: q^4+q^3+q+1
      20: q^4+q^3+q+1
      21: q^3+2q+1
      22: q^3+2q+1
      23: q^3+2q+1
      24: q^3+2q+1
      25: q^4+q^3+q+1
      26: q^3+2q+1
      27: q^3+2q+1
      28: q^3+2q+1
      29: q^3+2q+1
      30: q^4+q^3+q+1
      31: 2q+1
      32: 2q+1
      33: 2q+1
      34: q^3+q+1
      35: q^3+q+1
      36: q^2+2q+1
      37: q^2+2q+1
      38: q^3+2q+1
      39: q^3+2q+1
      40: q^3+2q+1
      41: q^2+2q+1
      42: q^3+2q+1
      43: q^3+2q+1
      44: q^2+2q+1
      45: q^3+2q+1
      46: q^2+2q+1
      47: q^3+2q+1
      48: q^2+2q+1
      49: q^3+2q+1
      50: q^3+2q+1
      51: q^3+q+1
      52: q^3+2q+1
      53: q^3+2q+1
      54: q^3+2q+1
      55: q^3+2q+1
      56: 2q+1
      57: q^3+2q+1
      58: q^3+2q+1
      59: 2q+1
      60: q^2+2q+1
      61: q^3+2q+1
      62: q^3+2q+1
      63: q^3+2q+1
      64: q^3+2q+1
      65: q^4+q^3+q+1
      66: 2q+1
      67: 2q+1
      68: 2q+1
      69: q^3+q+1
      70: q^3+q+1
      71: 2q+1
      72: 2q+1
      73: 2q+1
      74: q^3+q+1
      75: q^3+q+1
      76: q^2+2q+1
      77: q^3+2q+1
      78: q^2+2q+1
      79: q^3+2q+1
      80: q^3+2q+1
      81: q^2+2q+1
      82: q^3+2q+1
      83: q^2+2q+1
      84: q^3+2q+1
      85: q^3+2q+1
      86: q+1
      87: q+1
      88: q+1
      89: q+1
      90: q+1
      91: q^3+q+1
      92: q+1
      93: q^3+2q+1
      94: q^3+q+1
      95: 2q+1
      96: q^3+2q+1
      97: 2q+1
      98: q^3+2q+1
      99: q^3+2q+1
     100: q^2+2q+1
     101: q^3+2q+1
     102: 2q+1
     103: 2q+1
     104: q^3+2q+1
     105: q^3+2q+1
     106: 2q+1
     107: q+1
     108: q+1
     109: q+1
     110: q+1
     111: 2q+1
     112: 2q+1
     113: 2q+1
     114: q^3+q+1
     115: q^3+q+1
     116: 2q+1
     117: 2q+1
     118: 2q+1
     119: q^3+q+1
     120: q^3+q+1
     121: 2q+1
     122: 2q+1
     123: 2q+1
     124: q^3+q+1
     125: q^3+q+1
     126: q^2+2q+1
     127: q^3+2q+1
     128: q^2+2q+1
     129: q^3+2q+1
     130: q^3+2q+1
     131: q+1
     132: q+1
     133: q+1
     134: q+1
     135: q+1
     136: q^3+q+1
     137: q+1
     138: q^3+q+1
     139: q+1
     140: 2q+1
     141: 2q+1
     142: q+1
     143: q^3+q+1
     144: q^3+2q+1
     145: 2q+1
     146: 2q+1
     147: 2q+1
     148: 2q+1
     149: 2q+1
     150: q^3+2q+1
     151: q^3+2q+1
     152: q^3+2q+1
     153: 2q+1
     154: q^2+2q+1
     155: q+1
     156: q+1
     157: q+1
     158: q+1
     159: q+1
     160: q+1
     161: q+1
     162: 2q+1
     163: 2q+1
     164: 2q+1
     165: q^3+q+1
     166: q^3+q+1
     167: 2q+1
     168: 2q+1
     169: 2q+1
     170: q^3+q+1
     171: q^3+q+1
     172: 2q+1
     173: 2q+1
     174: 2q+1
     175: q^3+q+1
     176: q^3+q+1
     177: q+1
     178: q+1
     179: q+1
     180: q+1
     181: q+1
     182: q+1
     183: q+1
     184: q+1
     185: q+1
     186: q+1
     187: q+1
     188: q^3+q+1
     189: q+1
     190: 2q+1
     191: q+1
     192: q+1
     193: q^3+q+1
     194: q+1
     195: 2q+1
     196: 2q+1
     197: 2q+1
     198: 2q+1
     199: 2q+1
     200: q+1
     201: q^3+q+1
     202: 2q+1
     203: q^3+2q+1
     204: 2q+1
     205: 2q+1
     206: q+1
     207: q+1
     208: q+1
     209: q+1
     210: q+1
     211: q+1
     212: q+1
     213: q+1
     214: q+1
     215: q+1
     216: q+1
     217: q+1
     218: q+1
     219: 2q+1
     220: 2q+1
     221: 2q+1
     222: q^3+q+1
     223: q^3+q+1
     224: 2q+1
     225: 2q+1
     226: 2q+1
     227: q^3+q+1
     228: q^3+q+1
     229: q+1
     230: q+1
     231: q+1
     232: q+1
     233: q+1
     234: 1
     235: 1
     236: 1
     237: 1
     238: 1
     239: q+1
     240: q+1
     241: q+1
     242: q^3+q+1
     243: q+1
     244: 2q+1
     245: q+1
     246: 2q+1
     247: 2q+1
     248: q+1
     249: 2q+1
     250: q+1
     251: q^3+q+1
     252: q+1
     253: 2q+1
     254: 2q+1
     255: 2q+1
     256: q+1
     257: q+1
     258: q+1
     259: q+1
     260: q+1
     261: q+1
     262: q+1
     263: q+1
     264: q+1
     265: q+1
     266: 1
     267: 1
     268: 1
     269: q+1
     270: 1
     271: q+1
     272: q+1
     274: q+1
     275: q+1
     276: q+1
     277: q+1
     278: q+1
     279: 2q+1
     280: 2q+1
     281: 2q+1
     282: q^3+q+1
     283: q^3+q+1
     284: 1
     285: 1
     286: 1
     287: 1
     288: 1
     289: 1
     290: 1
     291: 1
     292: 1
     293: 1
     294: q+1
     295: q+1
     296: q+1
     297: q+1
     298: 2q+1
     299: q+1
     300: q+1
     301: q+1
     302: q+1
     303: q+1
     304: q^3+q+1
     305: q+1
     306: 2q+1
     307: q+1
     308: 2q+1
     309: 2q+1
     310: q+1
     311: q+1
     312: q+1
     313: q+1
     314: 1
     315: 1
     316: 1
     317: q+1
     318: 1
     319: q+1
     320: q+1
     321: q+1
     322: 1
     323: q+1
     324: 1
     325: 1
     326: 1
     327: 1
     328: 1
     329: 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
     346: 1
     347: q+1
     348: q+1
     349: q+1
     350: 1
     351: 1
     352: 1
     353: q+1
     354: q+1
     355: q+1
     356: q+1
     357: q+1
     358: 2q+1
     359: q+1
     360: 1
     361: q+1
     362: q+1
     363: 1
     364: q+1
     365: 1
     366: 1
     367: 1
     368: 1
     369: 1
     370: 1
     371: 1
     372: q+1
     373: 1
     374: 1
     375: 1
     376: 1
     377: 1
     378: 1
     379: 1
     380: 1
     385: 1
     386: 1
     387: 1
     388: 1
     389: 1
     390: 1
     391: 1
     392: 1
     393: 1
     394: 1
     395: 1
     396: 1
     397: 1
     398: 1
     399: 1
     400: 1
     401: 1
     402: 1
     403: q+1
     404: 1
     405: q+1
     406: 1
     407: 1
     408: 1
     409: 1
     410: 1
     411: q+1
     412: q+1
     413: q+1
     414: 1
     415: 1
     416: 1
     417: q+1
     418: 1
     419: 1
     420: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     426: 1
     427: 1
     428: 1
     429: 1
     430: 1
     431: 1
     438: 1
     439: 1
     440: 1
     441: 1
     442: 1
     443: 1
     444: 1
     445: 1
     446: 1
     447: 1
     448: 1
     449: 1
     450: 1
     451: 1
     452: 1
     453: 1
     454: 1
     455: 1
     456: 1
     457: 1
     458: 1
     459: 1
     460: q+1
     461: 1
     462: 1
     463: q+1
     464: 1
     465: 1
     466: 1
     467: 1
     468: 1
     469: 1
     470: 1
     471: 1
     473: 1
     474: 1
     475: 1
     489: 1
     490: 1
     491: 1
     492: 1
     493: 1
     496: 1
     497: 1
     498: 1
     500: 1
     501: 1
     502: 1
     503: 1
     504: 1
     505: 1
     507: 1
     508: 1
     509: 1
     510: 1
     511: 1
     512: 1
     513: 1
     514: 1
     515: 1
     518: 1
     536: 1
     539: 1
     540: 1
     541: 1
     543: 1
     544: 1
     546: 1
     547: 1
     548: 1
     549: 1
     574: 1
     577: 1
     578: 1
     580: 1
     600: 1

601:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^3+2q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: q^2+2q+1
       6: q^2+2q+1
       7: q^2+2q+1
       8: q^3+2q^2+2q+1
       9: q^2+2q+1
      10: q^2+2q+1
      11: q^2+2q+1
      12: q+1
      13: q^3+2q^2+2q+1
      14: q^2+2q+1
      15: q^2+2q+1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      20: q+1
      21: q^2+2q+1
      22: q^2+2q+1
      23: q^2+2q+1
      24: q+1
      25: q+1
      26: q^2+2q+1
      27: q^2+2q+1
      28: q^2+2q+1
      29: q+1
      30: q+1
      31: q^2+2q+1
      32: q^2+2q+1
      33: q^2+2q+1
      34: q+1
      35: q+1
      36: q^2+2q+1
      37: q^2+2q+1
      38: q+1
      39: q+1
      40: q+1
      41: q^2+2q+1
      42: q^2+2q+1
      43: q^2+2q+1
      44: q^3+2q^2+2q+1
      45: q^2+2q+1
      46: q^2+2q+1
      47: q^2+2q+1
      48: q^3+2q^2+2q+1
      49: q^2+2q+1
      50: q^2+2q+1
      51: q+1
      52: q+1
      53: q+1
      54: q^2+2q+1
      55: q^2+2q+1
      56: q^2+2q+1
      57: q^2+2q+1
      58: q^2+2q+1
      59: q^2+2q+1
      60: q^2+2q+1
      61: q^2+2q+1
      62: q^2+2q+1
      63: q^2+2q+1
      64: q+1
      65: q+1
      66: q^2+2q+1
      67: q^2+2q+1
      68: q^2+2q+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^2+2q+1
      77: q+1
      78: q^2+2q+1
      79: q+1
      80: q+1
      81: q^2+2q+1
      82: q^2+2q+1
      83: q^3+2q^2+2q+1
      84: q^2+2q+1
      85: q^2+2q+1
      86: q+1
      87: q+1
      88: q^2+q+1
      89: q+1
      90: q+1
      91: q+1
      92: q+1
      93: q+1
      94: q+1
      95: q+1
      96: q^2+2q+1
      97: q^2+2q+1
      98: q+1
      99: q+1
     100: q^2+2q+1
     101: q^2+2q+1
     102: q^2+2q+1
     103: q^2+2q+1
     104: q^2+2q+1
     105: q^2+2q+1
     106: q^2+2q+1
     107: q+1
     108: q+1
     109: q+1
     110: q+1
     111: q^2+2q+1
     112: q^2+2q+1
     113: q^2+2q+1
     114: q+1
     115: q+1
     116: q^2+2q+1
     117: q^2+2q+1
     118: q+1
     119: q+1
     120: q+1
     121: q^2+2q+1
     122: q+1
     123: q^2+2q+1
     124: q+1
     125: q+1
     126: q^2+2q+1
     127: q+1
     128: q^2+2q+1
     129: q+1
     130: q+1
     131: q+1
     132: q+1
     133: q^2+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^2+2q+1
     142: q+1
     143: q+1
     144: q+1
     145: q+1
     146: q^2+2q+1
     147: q^2+2q+1
     148: q^2+2q+1
     149: q+1
     150: q+1
     151: q+1
     152: q^2+2q+1
     153: q^2+2q+1
     154: q^2+2q+1
     155: q+1
     156: q+1
     157: q+1
     158: q+1
     159: q+1
     160: q+1
     161: q+1
     162: q^2+2q+1
     163: q^2+2q+1
     164: q+1
     165: q+1
     166: q+1
     167: q^2+2q+1
     168: q+1
     169: q^2+2q+1
     170: q+1
     171: q+1
     172: q^2+2q+1
     173: q+1
     174: q^2+2q+1
     175: q+1
     176: q+1
     177: q+1
     178: q+1
     179: q^2+q+1
     180: q+1
     181: q+1
     182: q+1
     183: 1
     184: q+1
     185: 1
     186: 1
     187: q+1
     188: q+1
     189: q+1
     190: q+1
     191: q+1
     192: q+1
     193: q+1
     194: q+1
     195: q+1
     196: q^2+2q+1
     197: q+1
     198: q^2+2q+1
     199: q+1
     200: q+1
     201: q+1
     202: q+1
     203: q+1
     204: q^2+2q+1
     205: q^2+2q+1
     206: q+1
     207: q+1
     208: q+1
     209: q+1
     210: q+1
     211: 1
     212: 1
     213: 1
     214: q+1
     215: q+1
     216: q+1
     217: q+1
     218: q+1
     219: q^2+2q+1
     220: q+1
     221: q^2+2q+1
     222: q+1
     223: q+1
     224: q^2+2q+1
     225: q+1
     226: q^2+2q+1
     227: q+1
     228: q+1
     229: q+1
     230: 1
     231: q+1
     232: 1
     233: 1
     234: q+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: q+1
     246: q^2+2q+1
     247: q+1
     248: q+1
     249: q+1
     250: q+1
     251: q+1
     252: q+1
     253: q+1
     254: q^2+2q+1
     255: q+1
     256: q+1
     257: 1
     258: 1
     259: 1
     260: q+1
     261: q+1
     262: q+1
     263: 1
     264: q+1
     265: 1
     266: 1
     267: 1
     268: 1
     269: 1
     270: q+1
     271: q+1
     272: q+1
     274: q+1
     275: 1
     276: q+1
     277: 1
     278: 1
     279: q^2+2q+1
     280: q+1
     281: q^2+2q+1
     282: q+1
     283: q+1
     284: q+1
     285: 1
     286: q+1
     287: 1
     288: 1
     289: q+1
     290: 1
     291: q+1
     292: 1
     293: 1
     294: q+1
     295: q+1
     296: q+1
     297: q+1
     298: q+1
     299: 1
     300: 1
     301: 1
     302: q+1
     303: q+1
     304: q+1
     305: q+1
     306: q+1
     307: q+1
     308: q^2+2q+1
     309: q+1
     310: q+1
     311: 1
     312: q+1
     313: 1
     314: 1
     315: 1
     316: 1
     317: 1
     318: q+1
     319: q+1
     320: 1
     321: q+1
     322: 1
     323: 1
     324: 1
     325: 1
     326: 1
     327: 1
     328: q+1
     329: 1
     332: q+1
     333: 1
     334: q+1
     335: 1
     336: 1
     337: q+1
     338: 1
     339: q+1
     340: 1
     341: 1
     342: q+1
     343: 1
     344: q+1
     345: 1
     346: 1
     347: q+1
     348: q+1
     349: 1
     350: 1
     351: 1
     352: 1
     353: 1
     354: q+1
     355: q+1
     356: q+1
     357: q+1
     358: q+1
     359: 1
     360: q+1
     361: 1
     362: q+1
     363: 1
     364: 1
     365: 1
     366: 1
     367: 1
     368: 1
     369: q+1
     370: 1
     371: 1
     372: 1
     373: 1
     374: 1
     375: 1
     376: 1
     377: 1
     378: 1
     379: q+1
     380: 1
     385: 1
     386: 1
     387: 1
     390: q+1
     391: 1
     392: q+1
     393: 1
     394: 1
     395: q+1
     396: 1
     397: q+1
     398: 1
     399: 1
     402: 1
     403: q+1
     404: 1
     405: 1
     406: 1
     407: 1
     408: 1
     409: 1
     410: 1
     411: q+1
     412: q+1
     413: 1
     414: q+1
     415: 1
     416: 1
     417: 1
     418: 1
     419: 1
     420: 1
     421: 1
     422: 1
     423: 1
     424: q+1
     425: 1
     426: 1
     427: 1
     428: 1
     429: 1
     430: 1
     431: 1
     438: 1
     439: 1
     440: 1
     443: q+1
     444: 1
     445: q+1
     446: 1
     447: 1
     452: 1
     453: 1
     454: 1
     455: 1
     456: 1
     457: 1
     458: 1
     459: 1
     460: q+1
     461: 1
     462: 1
     463: 1
     464: q+1
     465: 1
     466: 1
     467: 1
     468: 1
     469: 1
     470: 1
     471: 1
     473: 1
     474: 1
     475: 1
     484: 1
     485: 1
     486: 1
     489: 1
     490: 1
     491: 1
     499: 1
     501: 1
     503: 1
     504: 1
     505: 1
     506: 1
     507: 1
     509: 1
     510: 1
     511: 1
     512: 1
     513: 1
     514: 1
     515: 1
     518: 1
     528: 1
     529: 1
     530: 1
     537: 1
     541: 1
     542: 1
     545: 1
     546: 1
     547: 1
     548: 1
     549: 1
     563: 1
     564: 1
     565: 1
     571: 1
     575: 1
     579: 1
     580: 1
     601: 1

602:   0: q^2+q+1
       1: q^2+q+1
       2: q^2+q+1
       3: q+1
       4: q^2+q+1
       5: 1
       6: q+1
       7: q^2+q+1
       8: q^2+q+1
       9: 1
      10: q^5+1
      11: 1
      12: q+1
      13: q^3+q^2+q+1
      14: q^5+1
      15: 1
      16: q^5+1
      17: q^5+1
      18: q^5+1
      19: q^5+1
      21: 1
      22: q^5+1
      23: 1
      24: q^5+1
      25: q^5+1
      26: 1
      27: 1
      28: 1
      29: 1
      31: q^2+q+1
      32: q+1
      33: q^2+q+1
      34: q^5+1
      35: q^5+1
      36: q^2+q+1
      37: q^2+q+1
      38: q+1
      39: q^5+1
      40: q^5+1
      41: q+1
      42: q+1
      43: 1
      44: q^2+q+1
      45: 1
      46: q^2+q+1
      47: q^2+q+1
      48: q^2+q+1
      49: 1
      50: 1
      51: q^5+1
      52: q^5+1
      53: 1
      54: 1
      55: 1
      56: q+1
      57: 1
      58: 1
      59: q^2+q+1
      60: q^2+q+1
      61: 1
      62: 1
      63: 1
      64: 1
      66: 1
      67: 1
      68: 1
      69: 1
      71: q^2+q+1
      72: q^2+q+1
      73: q+1
      74: q^5+1
      75: q^5+1
      76: q+1
      77: q+1
      78: q^2+q+1
      79: 1
      80: 1
      81: q+1
      82: q+1
      83: q^2+q+1
      84: 1
      85: 1
      86: q^2+q+1
      87: q^2+q+1
      88: q^2+q+1
      89: 1
      90: 1
      92: 1
      93: 1
      94: q^5+1
      95: q+1
      96: 1
      97: 1
      98: 1
      99: 1
     100: q+1
     101: 1
     102: 1
     103: q^2+q+1
     104: 1
     105: 1
     106: q+1
     107: 1
     108: 1
     109: q^2+q+1
     110: q^2+q+1
     111: 1
     112: 1
     113: 1
     114: 1
     116: 1
     117: 1
     118: 1
     119: 1
     121: q+1
     122: q+1
     123: q^2+q+1
     124: 1
     125: 1
     126: q+1
     127: q+1
     128: q^2+q+1
     129: 1
     130: 1
     131: q+1
     132: q+1
     133: q^2+q+1
     134: 1
     135: 1
     137: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: 1
     144: 1
     145: q+1
     146: q+1
     147: 1
     148: 1
     149: q+1
     150: 1
     151: 1
     152: 1
     153: 1
     154: q+1
     155: q+1
     156: 1
     157: 1
     158: q+1
     159: 1
     160: 1
     161: q^2+q+1
     162: 1
     163: 1
     164: 1
     165: 1
     167: 1
     168: 1
     169: 1
     170: 1
     172: q+1
     173: q+1
     174: q^2+q+1
     175: 1
     176: 1
     177: q+1
     178: q+1
     179: q^2+q+1
     180: 1
     181: 1
     182: q+1
     183: q+1
     184: q^2+q+1
     185: 1
     186: 1
     189: 1
     190: 1
     191: 1
     192: 1
     194: 1
     195: 1
     196: 1
     197: q+1
     198: 1
     199: 1
     200: 1
     201: 1
     202: q+1
     203: 1
     204: 1
     205: q+1
     206: q+1
     207: 1
     208: 1
     209: q+1
     210: q+1
     211: q+1
     212: 1
     213: 1
     214: q+1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     224: 1
     225: 1
     226: 1
     227: 1
     229: q+1
     230: q+1
     231: q^2+q+1
     232: 1
     233: 1
     234: q+1
     235: q+1
     236: q^2+q+1
     237: 1
     238: 1
     240: 1
     243: 1
     244: 1
     245: 1
     246: 1
     247: 1
     248: 1
     249: 1
     250: 1
     252: 1
     253: 1
     254: 1
     255: q+1
     256: q+1
     257: q+1
     258: 1
     259: 1
     260: q+1
     261: 1
     262: 1
     263: q+1
     264: 1
     265: 1
     266: 1
     267: 1
     268: q+1
     269: 1
     270: q+1
     271: 1
     272: 1
     273: q+1
     274: q+1
     275: 1
     276: q+1
     277: 1
     278: 1
     279: 1
     280: 1
     281: 1
     282: 1
     284: q+1
     285: q+1
     286: q^2+q+1
     287: 1
     288: 1
     289: 1
     290: 1
     291: 1
     292: 1
     296: 1
     297: 1
     298: 1
     299: 1
     300: 1
     301: 1
     302: 1
     305: 1
     306: 1
     307: 1
     308: 1
     309: 1
     310: q+1
     311: q+1
     312: 1
     313: 1
     314: 1
     315: 1
     316: q+1
     317: 1
     318: q+1
     319: 1
     320: 1
     321: 1
     322: 1
     323: 1
     324: 1
     326: 1
     327: 1
     328: 1
     329: q+1
     330: q+1
     331: q+1
     332: q+1
     333: 1
     334: q+1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: 1
     342: 1
     343: 1
     344: 1
     345: 1
     348: 1
     349: 1
     350: 1
     351: 1
     352: 1
     353: 1
     356: 1
     357: 1
     358: 1
     359: 1
     360: q+1
     361: 1
     362: 1
     363: 1
     364: 1
     365: 1
     367: 1
     368: 1
     369: 1
     370: q+1
     371: 1
     372: 1
     373: 1
     376: 1
     377: 1
     378: 1
     379: 1
     380: 1
     381: q+1
     382: 1
     383: q+1
     384: q+1
     385: q+1
     386: 1
     387: q+1
     388: 1
     389: 1
     395: 1
     396: 1
     397: 1
     398: 1
     400: 1
     401: 1
     402: 1
     404: 1
     405: 1
     406: 1
     410: q+1
     412: 1
     413: 1
     415: 1
     416: 1
     417: 1
     418: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     426: 1
     429: 1
     430: 1
     431: 1
     432: 1
     433: 1
     434: 1
     435: q+1
     436: q+1
     437: 1
     448: 1
     451: 1
     453: 1
     461: 1
     462: 1
     463: 1
     466: 1
     469: 1
     470: 1
     471: 1
     472: 1
     475: 1
     476: 1
     477: 1
     478: q+1
     479: 1
     480: 1
     482: 1
     483: 1
     500: 1
     508: 1
     510: 1
     515: 1
     516: 1
     517: 1
     519: 1
     520: 1
     521: 1
     524: 1
     526: 1
     527: 1
     543: 1
     550: 1
     551: 1
     552: 1
     554: 1
     556: 1
     562: 1
     581: 1
     582: 1
     586: 1
     602: 1

603:   0: q^3+2q^2+2q+1
       1: q^2+2q+1
       2: q^3+2q^2+2q+1
       3: q^2+2q+1
       4: q^3+2q^2+2q+1
       5: q^2+2q+1
       6: q^5+2q+1
       7: q^2+2q+1
       8: q^3+2q^2+2q+1
      10: q^5+2q+1
      11: q^2+2q+1
      12: q^5+2q+1
      13: q^4+2q^3+2q^2+2q+1
      16: q^5+2q+1
      18: q^6+q^5+q+1
      26: q^2+2q+1
      27: q^5+2q+1
      28: q^2+2q+1
      29: q^5+2q+1
      31: q^2+2q+1
      32: 2q+1
      33: q^2+2q+1
      34: q^5+q+1
      36: q^3+2q^2+2q+1
      37: q^3+2q^2+2q+1
      38: q^5+2q+1
      39: q^5+2q+1
      41: q^2+2q+1
      42: 2q+1
      43: 2q+1
      44: q^3+2q^2+2q+1
      46: q^3+2q^2+2q+1
      47: q^2+2q+1
      48: q^3+2q^2+2q+1
      49: q^2+2q+1
      53: q^5+2q+1
      55: 2q+1
      56: 2q+1
      58: q^2+2q+1
      59: q^2+2q+1
      60: q^3+2q^2+2q+1
      66: q^2+2q+1
      67: 2q+1
      68: q^2+2q+1
      69: q^5+q+1
      71: q^2+2q+1
      72: q^2+2q+1
      73: 2q+1
      74: q^5+q+1
      76: q^2+2q+1
      77: 2q+1
      78: q^3+2q^2+2q+1
      79: 2q+1
      81: q^2+2q+1
      82: 2q+1
      83: q^3+2q^2+2q+1
      84: 2q+1
      86: q^3+2q^2+2q+1
      87: q^2+2q+1
      88: q^3+2q^2+2q+1
      89: q^2+2q+1
      92: q+1
      95: 2q+1
      97: 2q+1
      99: 2q+1
     100: q^2+2q+1
     102: q^2+2q+1
     103: q^2+2q+1
     105: 2q+1
     106: 2q+1
     108: q^2+2q+1
     109: q^2+2q+1
     110: q^3+2q^2+2q+1
     116: q^2+2q+1
     117: q^2+2q+1
     118: 2q+1
     119: q^5+q+1
     121: 2q+1
     122: 2q+1
     123: q^2+2q+1
     124: q+1
     126: q^2+2q+1
     127: 2q+1
     128: q^3+2q^2+2q+1
     129: 2q+1
     131: q^2+2q+1
     132: 2q+1
     133: q^3+2q^2+2q+1
     134: 2q+1
     139: q+1
     140: 2q+1
     142: q+1
     145: 2q+1
     146: 2q+1
     148: q^2+2q+1
     149: 2q+1
     151: 2q+1
     153: 2q+1
     154: q^2+2q+1
     155: q^2+2q+1
     157: 2q+1
     158: 2q+1
     160: q^2+2q+1
     161: q^2+2q+1
     167: 2q+1
     168: 2q+1
     169: q^2+2q+1
     170: q+1
     172: 2q+1
     173: 2q+1
     174: q^2+2q+1
     175: q+1
     177: q^2+2q+1
     178: 2q+1
     179: q^3+2q^2+2q+1
     180: 2q+1
     182: q^2+2q+1
     183: 2q+1
     184: q^3+2q^2+2q+1
     185: 2q+1
     191: q+1
     194: q+1
     195: 2q+1
     196: 2q+1
     197: 2q+1
     199: 2q+1
     200: q+1
     202: 2q+1
     205: 2q+1
     206: q^2+2q+1
     208: 2q+1
     209: 2q+1
     210: 2q+1
     211: 2q+1
     213: 2q+1
     214: q^2+2q+1
     216: 2q+1
     218: q^2+2q+1
     224: 2q+1
     225: 2q+1
     226: q^2+2q+1
     227: q+1
     229: q^2+2q+1
     230: 2q+1
     231: q^3+2q^2+2q+1
     232: 2q+1
     234: 2q+1
     235: 2q+1
     236: q^2+2q+1
     237: q+1
     245: q+1
     247: 2q+1
     248: q+1
     252: q+1
     253: 2q+1
     254: 2q+1
     255: 2q+1
     256: 2q+1
     257: 2q+1
     259: 2q+1
     260: q^2+2q+1
     262: 2q+1
     263: 2q+1
     264: 2q+1
     265: 2q+1
     266: q+1
     268: 2q+1
     270: 2q+1
     273: q^2+2q+1
     274: q^2+2q+1
     275: q+1
     276: q^2+2q+1
     277: q+1
     284: 2q+1
     285: 2q+1
     286: q^2+2q+1
     287: q+1
     289: 2q+1
     290: 2q+1
     291: q^2+2q+1
     292: q+1
     297: q+1
     299: q+1
     301: q+1
     307: q+1
     309: 2q+1
     310: q^2+2q+1
     311: 2q+1
     312: 2q+1
     313: 2q+1
     314: q+1
     316: 2q+1
     318: 2q+1
     320: 2q+1
     322: q+1
     326: q+1
     327: 2q+1
     328: 2q+1
     329: 2q+1
     330: 2q+1
     331: q^2+2q+1
     332: q+1
     333: 1
     334: q+1
     335: 1
     337: 2q+1
     338: 2q+1
     339: q^2+2q+1
     340: q+1
     349: q+1
     350: 1
     352: 1
     357: q+1
     359: q+1
     360: q+1
     361: 2q+1
     363: q+1
     367: q+1
     368: 2q+1
     369: 2q+1
     370: 2q+1
     371: q+1
     378: q+1
     380: 2q+1
     381: 2q+1
     382: 2q+1
     383: q^2+2q+1
     384: 2q+1
     385: q+1
     386: 1
     387: q+1
     388: 1
     390: q+1
     391: 1
     392: q+1
     393: 1
     400: 1
     402: 1
     404: 1
     408: 1
     409: 1
     410: q+1
     413: q+1
     414: q+1
     415: 1
     416: q+1
     423: q+1
     425: 2q+1
     430: q+1
     432: q+1
     433: 2q+1
     435: q+1
     436: 2q+1
     437: 2q+1
     438: q+1
     439: 1
     440: q+1
     441: 1
     450: 1
     451: 1
     452: 1
     458: 1
     459: q+1
     461: 1
     462: 1
     465: 1
     470: q+1
     472: q+1
     476: q+1
     477: 1
     478: q+1
     479: q+1
     481: q+1
     482: 2q+1
     502: 1
     508: 1
     509: 1
     511: 1
     516: q+1
     517: 1
     519: 1
     520: 1
     522: 1
     523: q+1
     526: q+1
     544: 1
     550: 1
     552: 1
     553: 1
     554: 1
     555: 1
     557: 1
     581: 1
     583: 1
     584: 1
     587: 1
     603: 1

604:   0: q+1
       1: q+1
       2: q^2+q+1
       3: q+1
       4: q+1
       5: q+1
       6: q+1
       7: q+1
       8: q^2+q+1
      10: q+1
      11: q+1
      12: 1
      13: q^2+q+1
      16: 1
      18: 1
      26: q+1
      27: q+1
      28: q+1
      29: 1
      31: q+1
      32: q+1
      33: q+1
      34: 1
      36: q+1
      37: q+1
      38: 1
      39: 1
      41: q+1
      42: q+1
      43: q+1
      44: q^2+q+1
      46: q+1
      47: q+1
      48: q^2+q+1
      49: q+1
      53: 1
      55: q+1
      56: q+1
      58: q+1
      59: q+1
      60: q+1
      66: q+1
      67: q+1
      68: q+1
      69: 1
      71: q+1
      72: q+1
      73: 1
      74: 1
      76: q+1
      77: 1
      78: q+1
      79: 1
      81: q+1
      82: q+1
      83: q^2+q+1
      84: q+1
      86: q+1
      87: q+1
      88: q^2+q+1
      89: q+1
      92: 1
      95: 1
      97: q+1
      99: 1
     100: q+1
     102: q+1
     103: q+1
     105: q+1
     106: q+1
     108: q+1
     109: q+1
     110: q+1
     116: q+1
     117: q+1
     118: 1
     119: 1
     121: q+1
     122: 1
     123: q+1
     124: 1
     126: q+1
     127: 1
     128: q+1
     129: 1
     131: q+1
     132: q+1
     133: q^2+q+1
     134: q+1
     139: 1
     140: 1
     142: 1
     145: 1
     146: q+1
     148: q+1
     149: 1
     151: 1
     153: q+1
     154: q+1
     155: q+1
     157: q+1
     158: q+1
     160: q+1
     161: q+1
     167: q+1
     168: 1
     169: q+1
     170: 1
     172: q+1
     173: 1
     174: q+1
     175: 1
     177: q+1
     178: q+1
     179: q^2+q+1
     180: q+1
     182: q+1
     183: 1
     184: q+1
     185: 1
     191: 1
     194: 1
     195: 1
     196: q+1
     197: 1
     199: 1
     200: 1
     202: 1
     205: q+1
     206: q+1
     208: q+1
     209: q+1
     210: q+1
     211: 1
     213: 1
     214: q+1
     216: q+1
     218: q+1
     224: q+1
     225: 1
     226: q+1
     227: 1
     229: q+1
     230: 1
     231: q+1
     232: 1
     234: q+1
     235: 1
     236: q+1
     237: 1
     245: 1
     247: 1
     248: 1
     252: 1
     253: 1
     254: q+1
     255: 1
     256: q+1
     257: 1
     259: 1
     260: q+1
     262: q+1
     263: 1
     264: q+1
     265: 1
     266: 1
     268: 1
     270: q+1
     273: q+1
     274: q+1
     275: 1
     276: q+1
     277: 1
     284: q+1
     285: 1
     286: q+1
     287: 1
     289: q+1
     290: 1
     291: q+1
     292: 1
     297: 1
     299: 1
     301: 1
     307: 1
     309: 1
     310: q+1
     311: 1
     312: q+1
     313: 1
     314: 1
     316: 1
     318: q+1
     320: 1
     322: 1
     326: 1
     327: 1
     328: q+1
     329: 1
     330: q+1
     331: q+1
     332: q+1
     333: 1
     334: q+1
     335: 1
     337: q+1
     338: 1
     339: q+1
     340: 1
     349: 1
     350: 1
     352: 1
     357: 1
     359: 1
     360: q+1
     361: 1
     363: 1
     367: 1
     368: 1
     369: q+1
     370: 1
     371: 1
     378: 1
     380: 1
     381: 1
     382: q+1
     383: q+1
     384: q+1
     385: 1
     386: 1
     387: 1
     390: q+1
     391: 1
     392: q+1
     393: 1
     402: 1
     404: 1
     408: 1
     409: 1
     410: 1
     413: 1
     414: q+1
     415: 1
     416: 1
     423: 1
     425: 1
     430: 1
     432: 1
     433: 1
     435: q+1
     436: 1
     437: q+1
     438: 1
     439: 1
     440: 1
     452: 1
     458: 1
     459: 1
     461: 1
     462: 1
     465: 1
     470: 1
     472: 1
     476: 1
     477: 1
     478: 1
     479: 1
     481: q+1
     482: 1
     484: 1
     485: 1
     486: 1
     499: 1
     506: 1
     509: 1
     511: 1
     516: 1
     517: 1
     519: 1
     520: 1
     522: 1
     523: 1
     526: 1
     545: 1
     550: 1
     552: 1
     553: 1
     555: 1
     557: 1
     559: 1
     583: 1
     584: 1
     588: 1
     604: 1

605:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^3+2q^2+2q+1
       3: q^4+2q+1
       4: q^2+2q+1
       5: q^2+2q+1
       6: q^4+2q+1
       7: q^2+2q+1
       8: q^3+2q^2+2q+1
       9: q+1
      10: q^4+2q+1
      11: q^2+2q+1
      12: q^5+q^4+q+1
      13: q^4+2q^3+2q^2+2q+1
      14: q^6+q^4+q+1
      15: q+1
      16: q^5+q^4+q+1
      17: q^4+1
      18: q^5+q^4+q+1
      19: q^4+1
      20: q^4+1
      21: q+1
      22: q^4+q+1
      23: q+1
      24: q^4+1
      25: q^4+1
      26: q^2+2q+1
      27: q^4+2q+1
      28: q^2+2q+1
      29: q^5+q^4+q+1
      30: q^4+1
      31: q^2+2q+1
      32: q^4+2q+1
      33: q^2+2q+1
      34: q^5+q^4+q+1
      35: q^4+1
      36: q^2+2q+1
      37: q^2+2q+1
      38: q^4+q+1
      39: q^4+q+1
      40: q^4+1
      41: 2q+1
      42: 2q+1
      43: 2q+1
      44: q^3+2q^2+2q+1
      45: q+1
      46: q^2+2q+1
      47: q^2+2q+1
      48: q^3+2q^2+2q+1
      49: q^2+2q+1
      50: q+1
      51: q^4+1
      52: q^4+1
      53: q^4+q+1
      54: q+1
      55: 2q+1
      56: 2q+1
      57: q+1
      58: q^2+2q+1
      59: q^2+2q+1
      60: q^2+2q+1
      61: q+1
      62: q^4+q+1
      63: q+1
      64: q^4+1
      65: q^4+1
      66: q^2+2q+1
      67: q^4+2q+1
      68: q^2+2q+1
      69: q^5+q^4+q+1
      70: q^4+1
      71: q^2+2q+1
      72: q^2+2q+1
      73: q^4+q+1
      74: q^4+q+1
      75: q^4+1
      76: 2q+1
      77: q+1
      78: q^2+2q+1
      79: q+1
      80: 1
      81: 2q+1
      82: 2q+1
      83: q^3+2q^2+2q+1
      84: 2q+1
      85: q+1
      86: q^2+2q+1
      87: q^2+2q+1
      88: q^3+2q^2+2q+1
      89: q^2+2q+1
      90: q+1
      91: q^4+1
      92: q^4+q+1
      93: q^4+1
      94: q^4+1
      95: q+1
      96: q+1
      97: 2q+1
      98: 1
      99: q+1
     100: 2q+1
     101: q+1
     102: q^2+2q+1
     103: q^2+2q+1
     104: q+1
     105: 2q+1
     106: 2q+1
     107: q+1
     108: q^2+2q+1
     109: q^2+2q+1
     110: q^2+2q+1
     111: q+1
     112: q^4+q+1
     113: q+1
     114: q^4+1
     115: q^4+1
     116: q^2+2q+1
     117: q^2+2q+1
     118: q^4+q+1
     119: q^4+q+1
     120: q^4+1
     121: 2q+1
     122: q+1
     123: q^2+2q+1
     124: q+1
     125: 1
     126: 2q+1
     127: q+1
     128: q^2+2q+1
     129: q+1
     130: 1
     131: 2q+1
     132: 2q+1
     133: q^3+2q^2+2q+1
     134: 2q+1
     135: q+1
     136: q^4+1
     137: q^4+1
     138: q^4+1
     139: q^4+q+1
     140: q+1
     141: q+1
     142: q+1
     143: 1
     144: 1
     145: q+1
     146: 2q+1
     147: q+1
     148: q^2+2q+1
     149: q+1
     150: 1
     151: q+1
     152: q+1
     153: 2q+1
     154: 2q+1
     155: 2q+1
     156: q+1
     157: 2q+1
     158: 2q+1
     159: q+1
     160: q^2+2q+1
     161: q^2+2q+1
     162: q+1
     163: q+1
     164: 1
     165: 1
     166: 1
     167: 2q+1
     168: q+1
     169: q^2+2q+1
     170: q+1
     171: 1
     172: 2q+1
     173: q+1
     174: q^2+2q+1
     175: q+1
     176: 1
     177: 2q+1
     178: 2q+1
     179: q^3+2q^2+2q+1
     180: 2q+1
     181: q+1
     182: 2q+1
     183: q+1
     184: q^2+2q+1
     185: q+1
     186: 1
     187: q^4+1
     188: 1
     189: 1
     190: 1
     191: q+1
     192: 1
     193: 1
     194: q+1
     195: q+1
     196: 2q+1
     197: q+1
     198: q+1
     199: q+1
     200: q+1
     201: 1
     202: q+1
     203: 1
     204: q+1
     205: 2q+1
     206: 2q+1
     207: q+1
     208: 2q+1
     209: 2q+1
     210: 2q+1
     211: q+1
     212: 1
     213: q+1
     214: 2q+1
     215: q+1
     216: 2q+1
     217: q+1
     218: q^2+2q+1
     219: q+1
     220: 1
     221: q+1
     222: 1
     223: 1
     224: 2q+1
     225: q+1
     226: q^2+2q+1
     227: q+1
     228: 1
     229: 2q+1
     230: q+1
     231: q^2+2q+1
     232: q+1
     233: 1
     234: 2q+1
     235: q+1
     236: q^2+2q+1
     237: q+1
     238: 1
     239: 1
     240: 1
     241: 1
     242: 1
     243: 1
     244: 1
     245: q+1
     246: q+1
     247: q+1
     248: q+1
     249: 1
     250: 1
     251: 1
     252: q+1
     253: q+1
     254: 2q+1
     255: q+1
     256: 2q+1
     257: q+1
     258: 1
     259: q+1
     260: 2q+1
     261: q+1
     262: 2q+1
     263: q+1
     264: 2q+1
     265: q+1
     266: q+1
     267: 1
     268: q+1
     269: 1
     270: 2q+1
     271: q+1
     272: q+1
     273: 2q+1
     274: q+1
     275: 1
     276: q+1
     277: 1
     278: 1
     279: q+1
     280: 1
     281: q+1
     282: 1
     283: 1
     284: 2q+1
     285: q+1
     286: q^2+2q+1
     287: q+1
     288: 1
     289: 2q+1
     290: q+1
     291: q^2+2q+1
     292: q+1
     293: 1
     294: 1
     295: 1
     296: 1
     297: q+1
     298: 1
     299: 1
     300: 1
     301: 1
     302: 1
     303: 1
     304: 1
     305: 1
     306: 1
     307: q+1
     308: q+1
     309: q+1
     310: q+1
     311: q+1
     312: 2q+1
     313: q+1
     314: q+1
     315: 1
     316: q+1
     317: 1
     318: 2q+1
     319: q+1
     320: q+1
     321: q+1
     322: q+1
     323: 1
     324: 1
     325: 1
     326: q+1
     327: q+1
     328: 2q+1
     329: q+1
     330: 2q+1
     331: 2q+1
     332: q+1
     333: 1
     334: q+1
     335: 1
     336: 1
     337: 2q+1
     338: q+1
     339: q^2+2q+1
     340: q+1
     341: 1
     342: q+1
     343: 1
     344: q+1
     345: 1
     346: 1
     347: 1
     348: 1
     349: 1
     350: 1
     351: 1
     352: 1
     353: 1
     354: 1
     355: 1
     356: 1
     357: q+1
     358: 1
     359: 1
     360: q+1
     361: q+1
     362: q+1
     363: q+1
     364: 1
     365: 1
     366: 1
     367: q+1
     368: q+1
     369: 2q+1
     370: q+1
     371: q+1
     372: 1
     373: 1
     374: 1
     375: 1
     376: 1
     377: 1
     378: q+1
     379: q+1
     380: q+1
     381: q+1
     382: 2q+1
     383: q+1
     384: 2q+1
     390: q+1
     391: 1
     392: q+1
     393: 1
     394: 1
     395: q+1
     396: 1
     397: q+1
     398: 1
     399: 1
     403: 1
     404: 1
     405: 1
     406: 1
     407: 1
     408: 1
     409: 1
     411: 1
     412: 1
     413: 1
     414: q+1
     415: 1
     416: q+1
     417: 1
     418: 1
     419: 1
     420: 1
     421: 1
     422: 1
     423: q+1
     424: q+1
     425: q+1
     426: 1
     427: 1
     428: 1
     429: 1
     430: q+1
     431: 1
     432: 1
     433: q+1
     434: q+1
     435: q+1
     436: q+1
     437: 2q+1
     453: 1
     454: 1
     458: 1
     460: 1
     462: 1
     463: 1
     465: 1
     466: 1
     467: 1
     468: 1
     469: 1
     470: q+1
     471: 1
     472: 1
     473: 1
     474: 1
     475: 1
     476: 1
     477: 1
     479: q+1
     480: 1
     481: q+1
     482: q+1
     483: q+1
     503: 1
     510: 1
     511: 1
     513: 1
     514: 1
     515: 1
     516: 1
     517: 1
     518: 1
     520: 1
     521: 1
     522: 1
     524: 1
     526: q+1
     527: 1
     547: 1
     549: 1
     550: 1
     551: 1
     553: 1
     556: 1
     557: 1
     561: 1
     562: 1
     582: 1
     584: 1
     590: 1
     593: 1
     605: 1

606:   0: q^2+q+1
       1: 1
       2: q^2+q+1
       3: q^2+q+1
       4: q^2+q+1
       5: 1
       6: 1
       7: 1
       8: q^2+q+1
       9: 1
      10: 1
      11: 1
      12: 1
      13: q^2+q+1
      14: 1
      15: 1
      16: 1
      17: 1
      21: 1
      22: 1
      23: 1
      24: 1
      26: 1
      27: 1
      28: 1
      29: 1
      31: 1
      32: 1
      33: 1
      36: q^2+q+1
      37: q^2+q+1
      38: 1
      39: 1
      40: 1
      41: q^2+q+1
      42: 1
      43: 1
      44: q^2+q+1
      45: 1
      46: q^2+q+1
      47: 1
      48: q^2+q+1
      49: 1
      50: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: 1
      58: 1
      59: 1
      60: q^2+q+1
      61: 1
      62: 1
      63: 1
      64: 1
      66: 1
      67: 1
      68: 1
      71: 1
      72: 1
      73: 1
      76: q^2+q+1
      77: 1
      78: q^2+q+1
      79: 1
      80: 1
      81: q^2+q+1
      82: 1
      83: q^2+q+1
      84: 1
      85: 1
      86: q^2+q+1
      87: 1
      88: q^2+q+1
      89: 1
      90: 1
      93: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: q^2+q+1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: 1
     109: 1
     110: q^2+q+1
     111: 1
     112: 1
     113: 1
     116: 1
     117: 1
     118: 1
     121: 1
     122: 1
     123: 1
     126: q^2+q+1
     127: 1
     128: q^2+q+1
     129: 1
     130: 1
     131: q^2+q+1
     132: 1
     133: q^2+q+1
     134: 1
     135: 1
     140: 1
     141: 1
     144: 1
     145: 1
     146: 1
     147: 1
     148: 1
     149: 1
     150: 1
     151: 1
     152: 1
     153: 1
     154: q^2+q+1
     155: q^2+q+1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     161: 1
     162: 1
     163: 1
     164: 1
     167: 1
     168: 1
     169: 1
     172: 1
     173: 1
     174: 1
     177: q^2+q+1
     178: 1
     179: q^2+q+1
     180: 1
     181: 1
     182: q^2+q+1
     183: 1
     184: q^2+q+1
     185: 1
     186: 1
     190: 1
     195: 1
     196: 1
     197: 1
     198: 1
     199: 1
     202: 1
     203: 1
     204: 1
     205: 1
     206: q^2+q+1
     207: 1
     208: 1
     209: 1
     210: 1
     211: 1
     212: 1
     213: 1
     214: q^2+q+1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     224: 1
     225: 1
     226: 1
     229: q^2+q+1
     230: 1
     231: q^2+q+1
     232: 1
     233: 1
     234: 1
     235: 1
     236: 1
     244: 1
     246: 1
     247: 1
     249: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     258: 1
     259: 1
     260: q^2+q+1
     261: 1
     262: 1
     263: 1
     264: 1
     265: 1
     268: 1
     269: 1
     270: 1
     271: 1
     272: 1
     273: q^2+q+1
     274: q^2+q+1
     275: 1
     276: q^2+q+1
     277: 1
     278: 1
     279: 1
     280: 1
     281: 1
     284: 1
     285: 1
     286: 1
     289: 1
     290: 1
     291: 1
     298: 1
     299: 1
     300: 1
     301: 1
     306: 1
     308: 1
     309: 1
     310: q^2+q+1
     311: 1
     312: 1
     313: 1
     316: 1
     317: 1
     318: 1
     319: 1
     320: 1
     321: 1
     323: 1
     327: 1
     328: 1
     329: 1
     330: 1
     331: q^2+q+1
     332: 1
     333: 1
     334: 1
     337: 1
     338: 1
     339: 1
     342: 1
     343: 1
     344: 1
     349: 1
     352: 1
     353: 1
     358: 1
     359: 1
     360: 1
     361: 1
     362: 1
     364: 1
     368: 1
     369: 1
     370: 1
     372: 1
     377: 1
     379: 1
     380: 1
     381: 1
     382: 1
     383: q^2+q+1
     384: 1
     385: 1
     386: 1
     387: 1
     390: 1
     391: 1
     392: 1
     395: 1
     396: 1
     397: 1
     402: 1
     405: 1
     409: 1
     410: 1
     413: 1
     414: 1
     415: 1
     417: 1
     422: 1
     424: 1
     425: 1
     431: 1
     432: 1
     433: 1
     434: 1
     435: 1
     436: 1
     437: 1
     438: 1
     439: 1
     440: 1
     443: 1
     444: 1
     445: 1
     452: 1
     457: 1
     459: 1
     461: 1
     463: 1
     464: 1
     465: 1
     471: 1
     472: 1
     476: 1
     477: 1
     478: 1
     480: 1
     481: 1
     482: 1
     483: 1
     489: 1
     490: 1
     491: 1
     501: 1
     507: 1
     509: 1
     512: 1
     516: 1
     517: 1
     519: 1
     521: 1
     522: 1
     523: 1
     525: 1
     527: 1
     546: 1
     551: 1
     552: 1
     553: 1
     555: 1
     558: 1
     560: 1
     583: 1
     585: 1
     589: 1
     606: 1

607:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^4+2q^3+2q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: q+1
       6: q^2+2q+1
       7: q^2+2q+1
       8: q^4+2q^3+2q^2+2q+1
       9: q+1
      10: q+1
      11: q+1
      12: q^6+q^5+q+1
      13: q^4+2q^3+2q^2+2q+1
      14: q+1
      15: q+1
      16: q^5+1
      17: q^5+1
      18: q^5+1
      19: q^5+1
      21: q+1
      22: q+1
      23: q+1
      24: q^5+1
      25: q^5+1
      26: q+1
      27: q+1
      28: q+1
      29: q^5+1
      31: q^2+2q+1
      32: q^2+2q+1
      33: q^2+2q+1
      34: q^5+1
      35: q^5+1
      36: q^2+2q+1
      37: q^2+2q+1
      38: q+1
      39: 1
      40: 1
      41: q^2+2q+1
      42: q^2+2q+1
      43: q+1
      44: q^4+2q^3+2q^2+2q+1
      45: q+1
      46: q^2+2q+1
      47: q^2+2q+1
      48: q^4+2q^3+2q^2+2q+1
      49: q+1
      50: q+1
      51: q^5+1
      52: 1
      53: 1
      54: q+1
      55: q+1
      56: q^2+2q+1
      57: q+1
      58: q+1
      59: q^2+2q+1
      60: q^2+2q+1
      61: q+1
      62: q+1
      63: q+1
      64: q^5+1
      66: q+1
      67: q+1
      68: q+1
      69: q^5+1
      71: q^2+2q+1
      72: q^2+2q+1
      73: q+1
      74: 1
      75: 1
      76: q^2+2q+1
      77: q+1
      78: q^2+2q+1
      79: 1
      80: 1
      81: q^2+2q+1
      82: q^2+2q+1
      83: q^4+2q^3+2q^2+2q+1
      84: q+1
      85: q+1
      86: q^2+2q+1
      87: q^2+2q+1
      88: q^4+2q^3+2q^2+2q+1
      89: q+1
      90: q+1
      92: 1
      93: 1
      94: 1
      95: q+1
      96: q+1
      97: q+1
      98: 1
      99: 1
     100: q^2+2q+1
     101: q+1
     102: q+1
     103: q^2+2q+1
     104: q+1
     105: q+1
     106: q^2+2q+1
     107: q+1
     108: q+1
     109: q^2+2q+1
     110: q^2+2q+1
     111: q+1
     112: q+1
     113: q+1
     114: q^5+1
     116: q+1
     117: q+1
     118: 1
     119: 1
     121: q^2+2q+1
     122: q+1
     123: q^2+2q+1
     124: 1
     125: 1
     126: q^2+2q+1
     127: q+1
     128: q^2+2q+1
     129: 1
     130: 1
     131: q^2+2q+1
     132: q^2+2q+1
     133: q^4+2q^3+2q^2+2q+1
     134: q+1
     135: q+1
     137: 1
     139: 1
     140: 1
     141: q+1
     142: 1
     143: 1
     144: 1
     145: q+1
     146: q^2+2q+1
     147: q+1
     148: q+1
     149: q+1
     150: 1
     151: 1
     152: q+1
     153: q+1
     154: q^2+2q+1
     155: q^2+2q+1
     156: q+1
     157: q+1
     158: q^2+2q+1
     159: q+1
     160: q+1
     161: q^2+2q+1
     162: q+1
     163: q+1
     164: 1
     165: 1
     167: q+1
     168: 1
     169: q+1
     170: 1
     172: q^2+2q+1
     173: q+1
     174: q^2+2q+1
     175: 1
     176: 1
     177: q^2+2q+1
     178: q^2+2q+1
     179: q^4+2q^3+2q^2+2q+1
     180: q+1
     181: q+1
     182: q^2+2q+1
     183: q+1
     184: q^2+2q+1
     185: 1
     186: 1
     189: 1
     190: 1
     191: 1
     192: 1
     194: 1
     195: 1
     196: q+1
     197: q+1
     198: q+1
     199: 1
     200: 1
     201: 1
     202: q+1
     203: 1
     204: q+1
     205: q^2+2q+1
     206: q^2+2q+1
     207: q+1
     208: q+1
     209: q^2+2q+1
     210: q^2+2q+1
     211: q+1
     212: 1
     213: 1
     214: q^2+2q+1
     215: q+1
     216: q+1
     217: q+1
     218: q+1
     219: q+1
     220: 1
     221: q+1
     222: 1
     224: q+1
     225: 1
     226: q+1
     227: 1
     229: q^2+2q+1
     230: q+1
     231: q^2+2q+1
     232: 1
     233: 1
     234: q^2+2q+1
     235: q+1
     236: q^2+2q+1
     237: 1
     238: 1
     240: 1
     243: 1
     244: 1
     245: 1
     246: q+1
     247: 1
     248: 1
     249: 1
     250: 1
     252: 1
     253: 1
     254: q+1
     255: q+1
     256: q^2+2q+1
     257: q+1
     258: 1
     259: 1
     260: q^2+2q+1
     261: q+1
     262: q+1
     263: q+1
     264: q+1
     265: 1
     266: 1
     267: 1
     268: q+1
     269: 1
     270: q^2+2q+1
     271: q+1
     272: q+1
     273: q^2+2q+1
     274: q^2+2q+1
     275: q+1
     276: q^2+2q+1
     277: 1
     278: 1
     279: q+1
     280: 1
     281: q+1
     282: 1
     284: q^2+2q+1
     285: q+1
     286: q^2+2q+1
     287: 1
     288: 1
     289: q+1
     290: 1
     291: q+1
     292: 1
     296: 1
     297: 1
     298: 1
     299: q+1
     300: 1
     301: 1
     302: 1
     305: 1
     306: 1
     307: 1
     308: q+1
     309: 1
     310: q^2+2q+1
     311: q+1
     312: q+1
     313: 1
     314: 1
     315: 1
     316: q+1
     317: 1
     318: q^2+2q+1
     319: q+1
     320: 1
     321: q+1
     322: 1
     323: 1
     324: 1
     326: 1
     327: 1
     328: q+1
     329: q+1
     330: q^2+2q+1
     331: q^2+2q+1
     332: q^2+2q+1
     333: q+1
     334: q^2+2q+1
     335: 1
     336: 1
     337: q+1
     338: 1
     339: q+1
     340: 1
     342: q+1
     343: 1
     344: q+1
     345: 1
     348: 1
     349: 1
     350: 1
     351: 1
     352: q+1
     353: 1
     356: 1
     357: 1
     358: 1
     359: q+1
     360: q^2+2q+1
     361: 1
     362: q+1
     363: 1
     364: 1
     365: 1
     367: 1
     368: 1
     369: q+1
     370: q+1
     371: 1
     372: 1
     373: 1
     376: 1
     377: 1
     378: 1
     379: q+1
     380: 1
     381: q+1
     382: q+1
     383: q^2+2q+1
     384: q^2+2q+1
     390: q+1
     391: 1
     392: q+1
     393: 1
     395: q+1
     396: 1
     397: q+1
     398: 1
     404: 1
     405: 1
     406: 1
     408: 1
     409: 1
     412: 1
     413: 1
     414: q+1
     415: q+1
     416: 1
     417: 1
     418: 1
     421: 1
     422: 1
     423: 1
     424: q+1
     425: 1
     426: 1
     429: 1
     430: 1
     431: 1
     432: q+1
     433: 1
     434: q+1
     435: q^2+2q+1
     436: q+1
     437: q+1
     443: q+1
     444: 1
     445: q+1
     446: 1
     453: 1
     456: 1
     457: 1
     458: 1
     462: 1
     463: 1
     464: q+1
     465: 1
     466: 1
     469: 1
     470: 1
     471: 1
     472: q+1
     475: 1
     476: 1
     477: q+1
     479: 1
     480: 1
     481: q+1
     482: 1
     483: q+1
     505: 1
     510: 1
     511: 1
     512: 1
     515: 1
     516: 1
     517: q+1
     520: 1
     521: 1
     522: 1
     524: 1
     525: q+1
     526: 1
     527: 1
     548: 1
     550: 1
     551: 1
     553: 1
     556: 1
     557: 1
     558: 1
     562: 1
     582: 1
     584: 1
     585: 1
     591: 1
     607: 1

608:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q^2+q+1
       5: q+1
       6: q+1
       7: q^2+q+1
       8: q^2+q+1
      10: q+1
      11: q^2+q+1
      12: q+1
      13: q^2+q+1
      16: q+1
      18: q+1
      26: q+1
      27: q+1
      28: q^2+q+1
      29: q+1
      31: q+1
      32: q+1
      33: q^2+q+1
      34: q+1
      36: q+1
      37: q^2+q+1
      38: q+1
      39: q+1
      41: q+1
      42: q+1
      43: q+1
      44: q^2+q+1
      46: q+1
      47: q+1
      48: q+1
      49: q+1
      53: q+1
      55: q+1
      56: q+1
      58: q+1
      59: q+1
      60: q+1
      66: q+1
      67: q+1
      68: q^2+q+1
      69: q+1
      71: q+1
      72: q^2+q+1
      73: q+1
      74: q+1
      76: q+1
      77: q+1
      78: q^2+q+1
      79: q+1
      81: q+1
      82: q+1
      83: q+1
      84: q+1
      86: q+1
      87: q+1
      88: q+1
      89: q+1
      92: q+1
      95: q+1
      97: q+1
      99: q+1
     100: q+1
     102: q+1
     103: q+1
     105: q+1
     106: q+1
     108: q+1
     109: q+1
     110: q+1
     116: q+1
     117: q^2+q+1
     118: q+1
     119: q+1
     121: q+1
     122: q+1
     123: q^2+q+1
     124: q+1
     126: q+1
     127: q+1
     128: q+1
     129: q+1
     131: q+1
     132: q+1
     133: q+1
     134: q+1
     139: q+1
     140: q+1
     142: q+1
     145: q+1
     146: q+1
     148: q+1
     149: q+1
     151: q+1
     153: q+1
     154: q+1
     155: q+1
     157: q+1
     158: q+1
     160: q+1
     161: q+1
     167: q+1
     168: q+1
     169: q^2+q+1
     170: q+1
     172: q+1
     173: q+1
     174: q+1
     175: q+1
     177: 1
     178: 1
     179: q+1
     180: 1
     182: q+1
     183: q+1
     184: q+1
     185: q+1
     191: q+1
     194: q+1
     195: q+1
     196: q+1
     197: q+1
     199: q+1
     200: q+1
     202: q+1
     205: q+1
     206: 1
     208: 1
     209: 1
     210: q+1
     211: q+1
     213: q+1
     214: q+1
     216: q+1
     218: q+1
     224: q+1
     225: q+1
     226: q+1
     227: q+1
     229: 1
     230: 1
     231: q+1
     232: 1
     234: q+1
     235: q+1
     236: q+1
     237: q+1
     245: q+1
     247: q+1
     248: q+1
     252: q+1
     253: q+1
     254: q+1
     255: q+1
     256: 1
     257: 1
     259: 1
     260: 1
     262: 1
     263: q+1
     264: q+1
     265: q+1
     266: q+1
     268: q+1
     270: q+1
     273: 1
     274: 1
     275: 1
     276: q+1
     277: 1
     284: 1
     285: 1
     286: q+1
     287: 1
     289: q+1
     290: q+1
     291: q+1
     292: q+1
     297: q+1
     299: 1
     301: 1
     307: q+1
     309: q+1
     310: 1
     311: 1
     312: 1
     313: 1
     314: 1
     316: 1
     318: 1
     320: q+1
     322: q+1
     326: q+1
     327: q+1
     328: q+1
     329: q+1
     330: 1
     331: 1
     332: 1
     333: 1
     334: q+1
     335: 1
     337: 1
     338: 1
     339: q+1
     340: 1
     349: 1
     350: 1
     352: 1
     357: q+1
     359: 1
     360: 1
     361: 1
     363: 1
     367: 1
     368: 1
     369: 1
     370: 1
     371: q+1
     378: q+1
     380: q+1
     381: 1
     382: 1
     383: 1
     384: 1
     385: 1
     386: 1
     387: q+1
     388: 1
     390: 1
     391: 1
     392: q+1
     393: 1
     400: 1
     402: 1
     404: 1
     408: 1
     409: 1
     410: 1
     413: 1
     414: 1
     415: 1
     416: 1
     423: 1
     425: 1
     430: q+1
     432: 1
     433: 1
     435: 1
     436: 1
     437: 1
     438: 1
     439: 1
     440: q+1
     441: 1
     450: 1
     451: 1
     452: 1
     458: 1
     459: 1
     461: 1
     462: 1
     465: 1
     470: 1
     476: 1
     477: 1
     478: 1
     479: 1
     481: 1
     482: 1
     484: 1
     485: 1
     486: q+1
     487: 1
     495: 1
     499: 1
     502: 1
     506: 1
     508: 1
     509: 1
     511: 1
     519: 1
     520: 1
     522: 1
     523: 1
     526: 1
     538: 1
     544: 1
     545: 1
     554: 1
     555: 1
     557: 1
     559: 1
     576: 1
     587: 1
     588: 1
     608: 1

609:   0: q^2+2q+1
       1: q^4+2q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^3+2q^2+2q+1
       5: q^4+2q+1
       6: q^4+2q+1
       7: q^2+2q+1
       8: q^3+2q^2+2q+1
       9: q^5+q^4+q+1
      10: q^4+2q+1
      11: q^2+2q+1
      12: q^4+2q+1
      13: q^3+2q^2+2q+1
      14: q^5+q^4+q+1
      15: q+1
      16: q^4+2q+1
      17: q^5+q^4+q+1
      18: q^5+q^4+q+1
      19: q^4+1
      20: q^4+1
      21: q^4+q+1
      22: q^4+q+1
      23: q+1
      24: q^4+q+1
      25: q^4+1
      26: q^4+2q+1
      27: q^4+2q+1
      28: q^2+2q+1
      29: q^4+2q+1
      30: q^4+1
      31: 2q+1
      32: 2q+1
      33: q^2+2q+1
      34: q^4+q+1
      35: q^4+1
      36: q^2+2q+1
      37: q^3+2q^2+2q+1
      38: q^4+2q+1
      39: q^4+2q+1
      40: q^5+q^4+q+1
      41: q^2+2q+1
      42: q^4+2q+1
      43: q^4+2q+1
      44: q^3+2q^2+2q+1
      45: q^5+q^4+q+1
      46: q^2+2q+1
      47: 2q+1
      48: q^2+2q+1
      49: 2q+1
      50: q+1
      51: q^4+1
      52: q^4+q+1
      53: q^4+2q+1
      54: q^4+q+1
      55: q^4+2q+1
      56: 2q+1
      57: q+1
      58: 2q+1
      59: 2q+1
      60: q^2+2q+1
      61: q^4+q+1
      62: q^4+q+1
      63: q+1
      64: q^4+q+1
      65: q^4+1
      66: 2q+1
      67: 2q+1
      68: q^2+2q+1
      69: q^4+q+1
      70: q^4+1
      71: 2q+1
      72: q^2+2q+1
      73: 2q+1
      74: q^4+q+1
      75: q^4+1
      76: q^2+2q+1
      77: q^4+2q+1
      78: q^3+2q^2+2q+1
      79: q^4+2q+1
      80: q^5+q^4+q+1
      81: q^2+2q+1
      82: 2q+1
      83: q^2+2q+1
      84: 2q+1
      85: q+1
      86: q^2+2q+1
      87: 2q+1
      88: q^2+2q+1
      89: 2q+1
      90: q+1
      91: q^4+1
      92: q+1
      93: q^4+q+1
      94: q^4+1
      95: 2q+1
      96: q^4+q+1
      97: 2q+1
      98: q^4+q+1
      99: q^4+2q+1
     100: q^2+2q+1
     101: q+1
     102: 2q+1
     103: 2q+1
     104: q+1
     105: 2q+1
     106: 2q+1
     107: q+1
     108: 2q+1
     109: 2q+1
     110: q^2+2q+1
     111: q+1
     112: q+1
     113: q+1
     114: 1
     115: 1
     116: 2q+1
     117: q^2+2q+1
     118: 2q+1
     119: q^4+q+1
     120: q^4+1
     121: 2q+1
     122: 2q+1
     123: q^2+2q+1
     124: q^4+q+1
     125: q^4+1
     126: q^2+2q+1
     127: 2q+1
     128: q^2+2q+1
     129: 2q+1
     130: q+1
     131: q^2+2q+1
     132: 2q+1
     133: q^2+2q+1
     134: 2q+1
     135: q+1
     136: 1
     137: 1
     138: q^4+1
     139: q+1
     140: 2q+1
     141: q+1
     142: q+1
     143: q^4+1
     144: q^4+q+1
     145: 2q+1
     146: 2q+1
     147: q+1
     148: 2q+1
     149: 2q+1
     150: q+1
     151: 2q+1
     152: q+1
     153: 2q+1
     154: q^2+2q+1
     155: q^2+2q+1
     156: q+1
     157: 2q+1
     158: 2q+1
     159: q+1
     160: 2q+1
     161: 2q+1
     162: q+1
     163: q+1
     164: q+1
     165: 1
     166: 1
     167: 2q+1
     168: 2q+1
     169: q^2+2q+1
     170: q^4+q+1
     171: q^4+1
     172: 2q+1
     173: 2q+1
     174: 2q+1
     175: q+1
     176: 1
     177: q+1
     178: q+1
     179: q^2+2q+1
     180: q+1
     181: q+1
     182: q^2+2q+1
     183: 2q+1
     184: q^2+2q+1
     185: 2q+1
     186: q+1
     187: 1
     188: 1
     189: 1
     190: q+1
     191: q+1
     192: 1
     193: q^4+1
     194: q+1
     195: 2q+1
     196: 2q+1
     197: 2q+1
     198: q+1
     199: 2q+1
     200: q+1
     201: 1
     202: 2q+1
     203: q+1
     204: q+1
     205: 2q+1
     206: q+1
     207: q+1
     208: q+1
     209: q+1
     210: 2q+1
     211: 2q+1
     212: q+1
     213: 2q+1
     214: q^2+2q+1
     215: q+1
     216: 2q+1
     217: q+1
     218: 2q+1
     219: q+1
     220: q+1
     221: q+1
     222: 1
     223: 1
     224: 2q+1
     225: 2q+1
     226: 2q+1
     227: q+1
     228: 1
     229: q+1
     230: q+1
     231: q^2+2q+1
     232: q+1
     233: q+1
     234: 2q+1
     235: 2q+1
     236: 2q+1
     237: q+1
     238: 1
     239: 1
     240: 1
     241: 1
     242: 1
     243: 1
     244: q+1
     245: q+1
     246: q+1
     247: 2q+1
     248: q+1
     249: q+1
     250: 1
     251: 1
     252: q+1
     253: 2q+1
     254: 2q+1
     255: 2q+1
     256: q+1
     257: q+1
     258: q+1
     259: q+1
     260: q+1
     261: q+1
     262: q+1
     263: 2q+1
     264: 2q+1
     265: 2q+1
     266: q+1
     267: 1
     268: 2q+1
     269: q+1
     270: 2q+1
     271: q+1
     272: q+1
     273: q+1
     274: q+1
     275: q+1
     276: q^2+2q+1
     277: q+1
     278: q+1
     279: q+1
     280: q+1
     281: q+1
     282: 1
     283: 1
     284: 1
     285: 1
     286: q+1
     287: 1
     288: 1
     289: 2q+1
     290: 2q+1
     291: 2q+1
     292: q+1
     293: 1
     294: 1
     295: 1
     296: 1
     297: q+1
     298: q+1
     299: q+1
     300: q+1
     301: q+1
     302: 1
     303: 1
     304: 1
     305: 1
     306: q+1
     307: q+1
     308: q+1
     309: 2q+1
     310: q+1
     311: q+1
     312: q+1
     313: q+1
     314: 1
     315: 1
     316: 1
     317: q+1
     318: 1
     319: q+1
     320: 2q+1
     321: q+1
     322: q+1
     323: q+1
     324: 1
     325: 1
     326: q+1
     327: 2q+1
     328: 2q+1
     329: 2q+1
     330: q+1
     331: q+1
     332: 1
     333: 1
     334: q+1
     335: 1
     336: 1
     337: 1
     338: 1
     339: q+1
     340: 1
     341: 1
     342: q+1
     343: q+1
     344: q+1
     345: 1
     346: 1
     347: 1
     348: 1
     349: q+1
     350: 1
     351: 1
     352: 1
     353: q+1
     354: 1
     355: 1
     356: 1
     357: q+1
     358: q+1
     359: q+1
     360: 1
     361: q+1
     362: q+1
     363: 1
     364: q+1
     365: 1
     366: 1
     367: 1
     368: 1
     369: 1
     370: 1
     371: q+1
     372: q+1
     373: 1
     374: 1
     375: 1
     376: 1
     377: q+1
     378: q+1
     379: q+1
     380: 2q+1
     381: q+1
     382: q+1
     383: q+1
     384: 1
     385: 1
     386: 1
     387: q+1
     388: 1
     389: 1
     390: 1
     391: 1
     392: q+1
     393: 1
     394: 1
     400: 1
     401: 1
     402: 1
     403: 1
     404: 1
     405: q+1
     406: 1
     407: 1
     408: 1
     409: 1
     410: 1
     411: 1
     412: 1
     413: q+1
     414: 1
     415: 1
     416: 1
     417: q+1
     418: 1
     419: 1
     423: 1
     425: 1
     426: 1
     427: 1
     428: 1
     429: 1
     430: q+1
     431: q+1
     432: q+1
     433: q+1
     434: q+1
     435: 1
     436: 1
     437: 1
     438: 1
     439: 1
     440: q+1
     441: 1
     442: 1
     448: 1
     449: 1
     450: 1
     451: 1
     452: 1
     453: 1
     454: 1
     458: 1
     459: 1
     460: 1
     461: 1
     462: 1
     463: q+1
     465: 1
     466: 1
     467: 1
     470: 1
     473: 1
     474: 1
     475: 1
     476: q+1
     477: 1
     478: 1
     479: 1
     480: q+1
     481: 1
     482: 1
     496: 1
     500: 1
     502: 1
     503: 1
     508: 1
     509: 1
     510: 1
     511: 1
     513: 1
     518: 1
     519: 1
     520: 1
     521: q+1
     522: 1
     523: 1
     524: 1
     526: 1
     539: 1
     543: 1
     544: 1
     547: 1
     554: 1
     555: 1
     556: 1
     557: 1
     561: 1
     577: 1
     586: 1
     587: 1
     590: 1
     609: 1

610:   0: q^3+3q^2+3q+1
       1: q^5+q^4+2q^2+3q+1
       2: q^3+3q^2+3q+1
       3: q^3+3q^2+3q+1
       4: q^4+3q^3+4q^2+3q+1
       5: q^4+2q+1
       6: q^5+q^4+2q^2+3q+1
       7: q^3+3q^2+3q+1
       8: q^4+3q^3+4q^2+3q+1
       9: q^4+2q+1
      10: q^4+2q+1
      11: q^2+2q+1
      12: q^5+q^4+2q^2+3q+1
      13: q^4+3q^3+4q^2+3q+1
      14: q^4+2q+1
      15: q^2+2q+1
      16: q^4+2q+1
      17: q^4+2q+1
      18: q^5+q^4+q+1
      19: q^5+q^4+q+1
      21: q^4+2q+1
      22: q^4+2q+1
      23: q^2+2q+1
      24: q^4+2q+1
      25: q^5+q^4+q+1
      26: q^4+2q+1
      27: q^4+2q+1
      28: q^2+2q+1
      29: q^4+2q+1
      31: 2q^2+3q+1
      32: 2q^2+3q+1
      33: q^3+3q^2+3q+1
      34: q^4+q+1
      35: q^4+q+1
      36: q^3+3q^2+3q+1
      37: q^4+3q^3+4q^2+3q+1
      38: q^5+q^4+2q^2+3q+1
      39: q^4+2q+1
      40: q^4+2q+1
      41: q^3+3q^2+3q+1
      42: q^5+q^4+2q^2+3q+1
      43: q^4+2q+1
      44: q^4+3q^3+4q^2+3q+1
      45: q^4+2q+1
      46: q^3+3q^2+3q+1
      47: 2q^2+3q+1
      48: q^3+3q^2+3q+1
      49: 2q+1
      50: 2q+1
      51: q^4+q+1
      52: q^4+2q+1
      53: q^4+2q+1
      54: q^4+2q+1
      55: q^4+2q+1
      56: 2q^2+3q+1
      57: 2q+1
      58: 2q+1
      59: 2q^2+3q+1
      60: q^3+3q^2+3q+1
      61: q^4+2q+1
      62: q^4+2q+1
      63: q^2+2q+1
      64: q^4+2q+1
      66: 2q+1
      67: 2q+1
      68: q^2+2q+1
      69: q^4+q+1
      71: 2q^2+3q+1
      72: q^3+3q^2+3q+1
      73: 2q^2+3q+1
      74: q^4+q+1
      75: q^4+q+1
      76: q^3+3q^2+3q+1
      77: q^5+q^4+2q^2+3q+1
      78: q^4+3q^3+4q^2+3q+1
      79: q^4+2q+1
      80: q^4+2q+1
      81: q^3+3q^2+3q+1
      82: 2q^2+3q+1
      83: q^3+3q^2+3q+1
      84: 2q+1
      85: 2q+1
      86: q^3+3q^2+3q+1
      87: 2q^2+3q+1
      88: q^3+3q^2+3q+1
      89: 2q+1
      90: 2q+1
      92: q+1
      93: q^4+2q+1
      94: q^4+q+1
      95: 2q^2+3q+1
      96: q^4+2q+1
      97: 2q+1
      98: q^4+2q+1
      99: q^4+2q+1
     100: q^3+3q^2+3q+1
     101: 2q+1
     102: 2q+1
     103: 2q^2+3q+1
     104: 2q+1
     105: 2q+1
     106: 2q^2+3q+1
     107: 2q+1
     108: 2q+1
     109: 2q^2+3q+1
     110: q^3+3q^2+3q+1
     111: 2q+1
     112: 2q+1
     113: q^2+2q+1
     114: q^4+q+1
     116: 2q+1
     117: q^2+2q+1
     118: 2q+1
     119: q^4+q+1
     121: 2q^2+3q+1
     122: 2q^2+3q+1
     123: q^3+3q^2+3q+1
     124: q^4+q+1
     125: q^4+q+1
     126: q^3+3q^2+3q+1
     127: 2q^2+3q+1
     128: q^3+3q^2+3q+1
     129: 2q+1
     130: 2q+1
     131: q^3+3q^2+3q+1
     132: 2q^2+3q+1
     133: q^3+3q^2+3q+1
     134: 2q+1
     135: 2q+1
     137: q+1
     139: q+1
     140: 2q+1
     141: 2q+1
     142: q+1
     143: q^4+q+1
     144: q^4+2q+1
     145: 2q^2+3q+1
     146: 2q^2+3q+1
     147: 2q+1
     148: 2q+1
     149: 2q^2+3q+1
     150: 2q+1
     151: 2q+1
     152: 2q+1
     153: 2q+1
     154: q^3+3q^2+3q+1
     155: q^3+3q^2+3q+1
     156: 2q+1
     157: 2q+1
     158: 2q^2+3q+1
     159: 2q+1
     160: 2q+1
     161: 2q^2+3q+1
     162: 2q+1
     163: q^2+2q+1
     164: 2q+1
     165: q^4+q+1
     167: 2q+1
     168: 2q+1
     169: q^2+2q+1
     170: q^4+q+1
     172: 2q^2+3q+1
     173: 2q^2+3q+1
     174: 2q^2+3q+1
     175: q+1
     176: q+1
     177: q^2+2q+1
     178: q^2+2q+1
     179: q^3+3q^2+3q+1
     180: q+1
     181: q+1
     182: q^3+3q^2+3q+1
     183: 2q^2+3q+1
     184: q^3+3q^2+3q+1
     185: 2q+1
     186: 2q+1
     189: q+1
     190: 2q+1
     191: q+1
     192: q+1
     194: q+1
     195: 2q+1
     196: 2q+1
     197: 2q^2+3q+1
     198: 2q+1
     199: 2q+1
     200: q+1
     201: q+1
     202: 2q^2+3q+1
     203: 2q+1
     204: 2q+1
     205: 2q^2+3q+1
     206: q^2+2q+1
     207: q+1
     208: q+1
     209: q^2+2q+1
     210: 2q^2+3q+1
     211: 2q^2+3q+1
     212: 2q+1
     213: 2q+1
     214: q^3+3q^2+3q+1
     215: 2q+1
     216: 2q+1
     217: 2q+1
     218: 2q+1
     219: 2q+1
     220: 2q+1
     221: q^2+2q+1
     222: q^4+q+1
     224: 2q+1
     225: 2q+1
     226: 2q+1
     227: q+1
     229: q^2+2q+1
     230: q^2+2q+1
     231: q^3+3q^2+3q+1
     232: q+1
     233: q+1
     234: 2q^2+3q+1
     235: 2q^2+3q+1
     236: 2q^2+3q+1
     237: q+1
     238: q+1
     240: q+1
     243: q+1
     244: 2q+1
     245: q+1
     246: 2q+1
     247: 2q+1
     248: q+1
     249: 2q+1
     250: q+1
     252: q+1
     253: 2q+1
     254: 2q+1
     255: 2q^2+3q+1
     256: q^2+2q+1
     257: q^2+2q+1
     258: q+1
     259: q+1
     260: q^2+2q+1
     261: q+1
     262: q+1
     263: 2q^2+3q+1
     264: 2q+1
     265: 2q+1
     266: q+1
     267: q+1
     268: 2q^2+3q+1
     269: 2q+1
     270: 2q^2+3q+1
     271: 2q+1
     272: 2q+1
     273: q^2+2q+1
     274: q^2+2q+1
     275: q^2+2q+1
     276: q^3+3q^2+3q+1
     277: q+1
     278: q+1
     279: 2q+1
     280: 2q+1
     281: 2q+1
     282: q+1
     284: q+1
     285: q+1
     286: q^2+2q+1
     287: 1
     288: 1
     289: 2q+1
     290: 2q+1
     291: 2q+1
     292: q+1
     296: q+1
     297: q+1
     298: 2q+1
     299: q^2+2q+1
     300: q+1
     301: q+1
     302: q+1
     305: q+1
     306: 2q+1
     307: q+1
     308: 2q+1
     309: 2q+1
     310: q^2+2q+1
     311: q^2+2q+1
     312: q+1
     313: q+1
     314: 1
     315: 1
     316: q+1
     317: q+1
     318: q+1
     319: q+1
     320: 2q+1
     321: 2q+1
     322: q+1
     323: 2q+1
     324: q+1
     326: q+1
     327: 2q+1
     328: 2q+1
     329: 2q^2+3q+1
     330: q^2+2q+1
     331: q^2+2q+1
     332: q+1
     333: q+1
     334: q^2+2q+1
     335: 1
     336: 1
     337: 1
     338: 1
     339: q+1
     340: 1
     342: 2q+1
     343: 2q+1
     344: 2q+1
     345: q+1
     348: q+1
     349: q+1
     350: 1
     351: 1
     352: q+1
     353: q+1
     356: q+1
     357: q+1
     358: 2q+1
     359: q^2+2q+1
     360: q+1
     361: q+1
     362: q+1
     363: 1
     364: q+1
     365: 1
     367: 1
     368: 1
     369: 1
     370: q+1
     371: q+1
     372: 2q+1
     373: q+1
     376: q+1
     377: 2q+1
     378: q+1
     379: 2q+1
     380: 2q+1
     381: q^2+2q+1
     382: q+1
     383: q^2+2q+1
     384: q+1
     385: q+1
     386: q+1
     387: q^2+2q+1
     388: 1
     389: 1
     390: 1
     391: 1
     392: q+1
     393: 1
     395: 1
     396: 1
     397: q+1
     398: 1
     400: 1
     401: 1
     402: q+1
     404: 1
     405: q+1
     406: 1
     408: 1
     409: 1
     410: q+1
     412: q+1
     413: q+1
     414: 1
     415: q+1
     416: 1
     417: q+1
     418: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     426: q+1
     429: q+1
     430: q+1
     431: 2q+1
     432: q^2+2q+1
     433: q+1
     434: q+1
     435: q+1
     436: q+1
     437: 1
     438: 1
     439: 1
     440: q+1
     441: 1
     443: 1
     444: 1
     445: q+1
     446: 1
     448: 1
     450: 1
     451: 1
     452: 1
     453: 1
     456: 1
     457: 1
     458: 1
     459: 1
     461: q+1
     462: 1
     463: q+1
     464: 1
     465: 1
     466: 1
     469: 1
     470: 1
     471: 1
     475: q+1
     476: q+1
     477: q+1
     478: q+1
     479: 1
     480: q+1
     481: 1
     482: 1
     483: 1
     489: 1
     490: 1
     491: q+1
     492: 1
     498: 1
     500: 1
     501: 1
     502: 1
     505: 1
     507: 1
     508: 1
     509: 1
     510: 1
     511: 1
     512: 1
     515: 1
     519: q+1
     520: 1
     521: q+1
     522: 1
     523: 1
     524: 1
     525: 1
     526: 1
     527: 1
     540: 1
     543: 1
     544: 1
     546: 1
     548: 1
     554: 1
     555: 1
     556: 1
     557: 1
     558: 1
     560: 1
     562: 1
     578: 1
     586: 1
     587: 1
     589: 1
     591: 1
     610: 1

611:   0: q^3+3q^2+3q+1
       1: q^3+3q^2+3q+1
       2: q^4+3q^3+4q^2+3q+1
       3: q^3+3q^2+3q+1
       4: q^4+3q^3+4q^2+3q+1
       5: q^2+2q+1
       6: q^3+3q^2+3q+1
       7: q^4+3q^3+4q^2+3q+1
       8: q^5+3q^4+5q^3+5q^2+3q+1
       9: q^2+2q+1
      10: q^2+2q+1
      11: q^3+2q^2+2q+1
      12: q^2+2q+1
      13: q^5+3q^4+5q^3+5q^2+3q+1
      14: q^2+2q+1
      15: q^3+2q^2+2q+1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      21: q^2+2q+1
      22: q^2+2q+1
      23: q^3+2q^2+2q+1
      24: q+1
      25: q+1
      26: q^2+2q+1
      27: q^2+2q+1
      28: q^3+2q^2+2q+1
      29: q+1
      31: q^3+3q^2+3q+1
      32: q^3+3q^2+3q+1
      33: q^4+3q^3+4q^2+3q+1
      34: q+1
      35: q+1
      36: q^3+3q^2+3q+1
      37: q^4+3q^3+4q^2+3q+1
      38: q^2+2q+1
      39: q+1
      40: q+1
      41: q^3+3q^2+3q+1
      42: q^3+3q^2+3q+1
      43: q^2+2q+1
      44: q^5+3q^4+5q^3+5q^2+3q+1
      45: q^2+2q+1
      46: q^3+3q^2+3q+1
      47: q^3+3q^2+3q+1
      48: q^4+3q^3+4q^2+3q+1
      49: q^2+2q+1
      50: q^2+2q+1
      51: q+1
      52: q+1
      53: q+1
      54: q^2+2q+1
      55: q^2+2q+1
      56: q^3+3q^2+3q+1
      57: q^2+2q+1
      58: q^2+2q+1
      59: q^3+3q^2+3q+1
      60: q^3+3q^2+3q+1
      61: q^2+2q+1
      62: q^2+2q+1
      63: q^3+2q^2+2q+1
      64: q+1
      66: q^2+2q+1
      67: q^2+2q+1
      68: q^3+2q^2+2q+1
      69: q+1
      71: q^3+3q^2+3q+1
      72: q^4+3q^3+4q^2+3q+1
      73: q^2+2q+1
      74: q+1
      75: q+1
      76: q^3+3q^2+3q+1
      77: q^2+2q+1
      78: q^4+3q^3+4q^2+3q+1
      79: q+1
      80: q+1
      81: q^3+3q^2+3q+1
      82: q^3+3q^2+3q+1
      83: q^4+3q^3+4q^2+3q+1
      84: q^2+2q+1
      85: q^2+2q+1
      86: q^3+3q^2+3q+1
      87: q^3+3q^2+3q+1
      88: q^4+3q^3+4q^2+3q+1
      89: q^2+2q+1
      90: q^2+2q+1
      92: q+1
      93: q+1
      94: q+1
      95: q^2+2q+1
      96: q^2+2q+1
      97: q^2+2q+1
      98: q+1
      99: q+1
     100: q^3+3q^2+3q+1
     101: q^2+2q+1
     102: q^2+2q+1
     103: q^3+3q^2+3q+1
     104: q^2+2q+1
     105: q^2+2q+1
     106: q^3+3q^2+3q+1
     107: q^2+2q+1
     108: q^2+2q+1
     109: q^3+3q^2+3q+1
     110: q^3+3q^2+3q+1
     111: q^2+2q+1
     112: q^2+2q+1
     113: q^3+2q^2+2q+1
     114: q+1
     116: q^2+2q+1
     117: q^3+2q^2+2q+1
     118: q+1
     119: q+1
     121: q^3+3q^2+3q+1
     122: q^2+2q+1
     123: q^4+3q^3+4q^2+3q+1
     124: q+1
     125: q+1
     126: q^3+3q^2+3q+1
     127: q^2+2q+1
     128: q^3+3q^2+3q+1
     129: q+1
     130: q+1
     131: q^3+3q^2+3q+1
     132: q^3+3q^2+3q+1
     133: q^4+3q^3+4q^2+3q+1
     134: q^2+2q+1
     135: q^2+2q+1
     137: q+1
     139: q+1
     140: q+1
     141: q^2+2q+1
     142: q+1
     143: q+1
     144: q+1
     145: q^2+2q+1
     146: q^3+3q^2+3q+1
     147: q^2+2q+1
     148: q^2+2q+1
     149: q^2+2q+1
     150: q+1
     151: q+1
     152: q^2+2q+1
     153: q^2+2q+1
     154: q^3+3q^2+3q+1
     155: q^3+3q^2+3q+1
     156: q^2+2q+1
     157: q^2+2q+1
     158: q^3+3q^2+3q+1
     159: q^2+2q+1
     160: q^2+2q+1
     161: q^3+3q^2+3q+1
     162: q^2+2q+1
     163: q^3+2q^2+2q+1
     164: q+1
     165: q+1
     167: q^2+2q+1
     168: q+1
     169: q^3+2q^2+2q+1
     170: q+1
     172: q^3+3q^2+3q+1
     173: q^2+2q+1
     174: q^3+3q^2+3q+1
     175: q+1
     176: q+1
     177: q^2+2q+1
     178: q^2+2q+1
     179: q^4+3q^3+4q^2+3q+1
     180: q+1
     181: q+1
     182: q^3+3q^2+3q+1
     183: q^2+2q+1
     184: q^3+3q^2+3q+1
     185: q+1
     186: q+1
     189: q+1
     190: q+1
     191: q+1
     192: q+1
     194: q+1
     195: q+1
     196: q^2+2q+1
     197: q^2+2q+1
     198: q^2+2q+1
     199: q+1
     200: q+1
     201: q+1
     202: q^2+2q+1
     203: q+1
     204: q^2+2q+1
     205: q^3+3q^2+3q+1
     206: q^2+2q+1
     207: q+1
     208: q+1
     209: q^2+2q+1
     210: q^3+3q^2+3q+1
     211: q^2+2q+1
     212: q+1
     213: q+1
     214: q^3+3q^2+3q+1
     215: q^2+2q+1
     216: q^2+2q+1
     217: q^2+2q+1
     218: q^2+2q+1
     219: q^2+2q+1
     220: q+1
     221: q^3+2q^2+2q+1
     222: q+1
     224: q^2+2q+1
     225: q+1
     226: q^2+2q+1
     227: q+1
     229: q^2+2q+1
     230: q+1
     231: q^3+3q^2+3q+1
     232: 1
     233: 1
     234: q^3+3q^2+3q+1
     235: q^2+2q+1
     236: q^3+3q^2+3q+1
     237: q+1
     238: q+1
     240: q+1
     243: q+1
     244: q+1
     245: q+1
     246: q^2+2q+1
     247: q+1
     248: q+1
     249: q+1
     250: q+1
     252: q+1
     253: q+1
     254: q^2+2q+1
     255: q^2+2q+1
     256: q^2+2q+1
     257: q+1
     258: 1
     259: 1
     260: q^2+2q+1
     261: q+1
     262: q+1
     263: q^2+2q+1
     264: q^2+2q+1
     265: q+1
     266: q+1
     267: q+1
     268: q^2+2q+1
     269: q+1
     270: q^3+3q^2+3q+1
     271: q^2+2q+1
     272: q^2+2q+1
     273: q^2+2q+1
     274: q^2+2q+1
     275: q+1
     276: q^3+3q^2+3q+1
     277: 1
     278: 1
     279: q^2+2q+1
     280: q+1
     281: q^2+2q+1
     282: q+1
     284: q^2+2q+1
     285: q+1
     286: q^3+3q^2+3q+1
     287: 1
     288: 1
     289: q^2+2q+1
     290: q+1
     291: q^2+2q+1
     292: q+1
     296: q+1
     297: q+1
     298: q+1
     299: q+1
     300: 1
     301: 1
     302: q+1
     305: q+1
     306: q+1
     307: q+1
     308: q^2+2q+1
     309: q+1
     310: q^2+2q+1
     311: q+1
     312: q+1
     313: 1
     314: 1
     315: 1
     316: q+1
     317: 1
     318: q^2+2q+1
     319: q+1
     320: q+1
     321: q^2+2q+1
     322: q+1
     323: q+1
     324: q+1
     326: q+1
     327: q+1
     328: q^2+2q+1
     329: q^2+2q+1
     330: q^2+2q+1
     331: q^2+2q+1
     332: q^2+2q+1
     333: q+1
     334: q^3+3q^2+3q+1
     335: 1
     336: 1
     337: q+1
     338: 1
     339: q^2+2q+1
     340: 1
     342: q^2+2q+1
     343: q+1
     344: q^2+2q+1
     345: q+1
     348: q+1
     349: 1
     350: 1
     351: 1
     352: q+1
     353: 1
     356: q+1
     357: q+1
     358: q+1
     359: q+1
     360: q^2+2q+1
     361: 1
     362: q+1
     363: 1
     364: 1
     365: 1
     367: 1
     368: 1
     369: q+1
     370: q+1
     371: q+1
     372: q+1
     373: q+1
     376: q+1
     377: q+1
     378: q+1
     379: q^2+2q+1
     380: q+1
     381: q+1
     382: q+1
     383: q^2+2q+1
     384: q^2+2q+1
     385: q+1
     386: q+1
     387: q^2+2q+1
     390: q+1
     391: 1
     392: q^2+2q+1
     393: 1
     395: q+1
     396: 1
     397: q^2+2q+1
     398: 1
     402: q+1
     404: 1
     405: 1
     406: 1
     408: 1
     409: 1
     410: q+1
     412: q+1
     413: 1
     414: q+1
     415: q+1
     416: 1
     417: 1
     418: 1
     421: 1
     422: 1
     423: 1
     424: q+1
     425: 1
     426: q+1
     429: q+1
     430: q+1
     431: q+1
     432: q+1
     433: 1
     434: q+1
     435: q^2+2q+1
     436: q+1
     437: q+1
     438: 1
     439: 1
     440: q+1
     443: q+1
     444: 1
     445: q^2+2q+1
     446: 1
     452: 1
     453: 1
     456: 1
     457: 1
     458: 1
     459: 1
     461: q+1
     462: 1
     463: 1
     464: q+1
     465: 1
     466: 1
     469: 1
     470: 1
     471: 1
     475: q+1
     476: 1
     477: q+1
     478: q+1
     479: 1
     480: 1
     481: q+1
     482: 1
     483: q+1
     484: 1
     485: 1
     486: q+1
     489: 1
     490: 1
     491: q+1
     499: 1
     501: 1
     505: 1
     506: 1
     507: 1
     509: 1
     510: 1
     511: 1
     512: 1
     515: 1
     519: q+1
     520: 1
     521: 1
     522: 1
     523: 1
     524: 1
     525: q+1
     526: 1
     527: 1
     528: 1
     529: 1
     530: q+1
     537: 1
     542: 1
     545: 1
     546: 1
     548: 1
     555: 1
     556: 1
     557: 1
     558: 1
     559: 1
     560: 1
     562: 1
     579: 1
     588: 1
     589: 1
     591: 1
     592: 1
     611: 1

612:   0: q^3+2q+1
       1: q^3+2q+1
       2: q^2+2q+1
       3: q^3+2q+1
       4: q^2+2q+1
       5: q^3+2q+1
       6: q^3+2q+1
       7: q^2+2q+1
       8: q^3+2q^2+2q+1
       9: q^3+2q+1
      10: q^3+2q+1
      11: q^2+2q+1
      12: q^4+q^3+q+1
      13: q^3+2q^2+2q+1
      14: q^3+2q+1
      15: q^2+2q+1
      16: q^4+q^3+q+1
      17: q^4+q^3+q+1
      18: q^4+q^3+q+1
      19: q^4+q^3+q+1
      20: q^4+q^3+q+1
      21: q^3+2q+1
      22: q^3+2q+1
      23: q^2+2q+1
      24: q^4+q^3+q+1
      25: q^4+q^3+q+1
      26: q^3+2q+1
      27: q^3+2q+1
      28: q^2+2q+1
      29: q^4+q^3+q+1
      30: q^4+q^3+q+1
      31: q^3+2q+1
      32: q^3+2q+1
      33: q^2+2q+1
      34: q^4+q^3+q+1
      35: q^4+q^3+q+1
      36: 2q+1
      37: q^2+2q+1
      38: q^3+q+1
      39: q^3+q+1
      40: q^3+q+1
      41: q^3+2q+1
      42: q^3+2q+1
      43: q^3+2q+1
      44: q^3+2q^2+2q+1
      45: q^3+2q+1
      46: 2q+1
      47: 2q+1
      48: q^2+2q+1
      49: 2q+1
      50: 2q+1
      51: q^4+q^3+q+1
      52: q^3+q+1
      53: q^3+q+1
      54: q^3+2q+1
      55: q^3+2q+1
      56: q^3+2q+1
      57: 2q+1
      58: 2q+1
      59: 2q+1
      60: 2q+1
      61: q^3+2q+1
      62: q^3+2q+1
      63: q^2+2q+1
      64: q^4+q^3+q+1
      65: q^4+q^3+q+1
      66: q^3+2q+1
      67: q^3+2q+1
      68: q^2+2q+1
      69: q^4+q^3+q+1
      70: q^4+q^3+q+1
      71: 2q+1
      72: q^2+2q+1
      73: q^3+q+1
      74: q^3+q+1
      75: q^3+q+1
      76: 2q+1
      77: q^3+q+1
      78: q^2+2q+1
      79: q^3+q+1
      80: q^3+q+1
      81: 2q+1
      82: 2q+1
      83: q^2+2q+1
      84: 2q+1
      85: 2q+1
      86: 2q+1
      87: 2q+1
      88: q^2+2q+1
      89: 2q+1
      90: 2q+1
      91: q^4+q^3+q+1
      92: q^3+q+1
      93: q^3+q+1
      94: q^3+q+1
      95: q+1
      96: q^3+2q+1
      97: q^3+2q+1
      98: q^3+q+1
      99: q^3+q+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: 2q+1
     109: 2q+1
     110: 2q+1
     111: q^3+2q+1
     112: q^3+2q+1
     113: q^2+2q+1
     114: q^4+q^3+q+1
     115: q^4+q^3+q+1
     116: 2q+1
     117: q^2+2q+1
     118: q^3+q+1
     119: q^3+q+1
     120: q^3+q+1
     121: 2q+1
     122: q^3+q+1
     123: q^2+2q+1
     124: q^3+q+1
     125: q^3+q+1
     126: 2q+1
     127: q+1
     128: 2q+1
     129: q+1
     130: q+1
     131: 2q+1
     132: 2q+1
     133: q^2+2q+1
     134: 2q+1
     135: 2q+1
     136: q^4+q^3+q+1
     137: q^3+q+1
     138: q^3+q+1
     139: q^3+q+1
     140: q+1
     141: q^3+2q+1
     142: q^3+q+1
     143: q^3+q+1
     144: q^3+q+1
     145: q+1
     146: 2q+1
     147: 2q+1
     148: 2q+1
     149: q+1
     150: q+1
     151: q+1
     152: 2q+1
     153: 2q+1
     154: 2q+1
     155: 2q+1
     156: 2q+1
     157: 2q+1
     158: 2q+1
     159: 2q+1
     160: 2q+1
     161: 2q+1
     162: 2q+1
     163: q^2+2q+1
     164: q^3+q+1
     165: q^3+q+1
     166: q^3+q+1
     167: 2q+1
     168: q^3+q+1
     169: q^2+2q+1
     170: q^3+q+1
     171: q^3+q+1
     172: 2q+1
     173: q+1
     174: 2q+1
     175: q+1
     176: q+1
     177: q+1
     178: q+1
     179: q^2+2q+1
     180: q+1
     181: q+1
     182: 2q+1
     183: q+1
     184: 2q+1
     185: q+1
     186: q+1
     187: q^3+q+1
     188: q^3+q+1
     189: q^3+q+1
     190: q+1
     191: q+1
     192: q^3+q+1
     193: q^3+q+1
     194: q^3+q+1
     195: q+1
     196: 2q+1
     197: q+1
     198: 2q+1
     199: q+1
     200: q+1
     201: q+1
     202: q+1
     203: q+1
     204: 2q+1
     205: 2q+1
     206: q+1
     207: q+1
     208: q+1
     209: q+1
     210: 2q+1
     211: q+1
     212: q+1
     213: q+1
     214: 2q+1
     215: 2q+1
     216: 2q+1
     217: 2q+1
     218: 2q+1
     219: 2q+1
     220: q^3+q+1
     221: q^2+2q+1
     222: q^3+q+1
     223: q^3+q+1
     224: 2q+1
     225: q+1
     226: 2q+1
     227: q+1
     228: q+1
     229: 1
     230: 1
     231: q+1
     232: 1
     233: 1
     234: 2q+1
     235: q+1
     236: 2q+1
     237: q+1
     238: q+1
     239: q^3+q+1
     240: q+1
     241: q^3+q+1
     242: q^3+q+1
     243: q^3+q+1
     244: q+1
     245: q+1
     246: 2q+1
     247: q+1
     248: q+1
     249: q+1
     250: q+1
     251: q+1
     252: q+1
     253: q+1
     254: 2q+1
     255: q+1
     256: q+1
     257: 1
     258: 1
     259: 1
     260: 1
     261: q+1
     262: q+1
     263: q+1
     264: 2q+1
     265: q+1
     266: q+1
     267: q+1
     268: q+1
     269: q+1
     270: 2q+1
     271: 2q+1
     272: 2q+1
     273: q+1
     274: 1
     275: 1
     276: q+1
     277: 1
     278: 1
     279: 2q+1
     280: q+1
     281: 2q+1
     282: q+1
     283: q+1
     284: 1
     285: 1
     286: q+1
     287: 1
     288: 1
     289: 2q+1
     290: q+1
     291: 2q+1
     292: q+1
     293: q+1
     294: q+1
     295: q^3+q+1
     296: q+1
     297: q+1
     298: q+1
     299: 1
     300: 1
     301: 1
     302: q+1
     303: q+1
     304: q+1
     305: q+1
     306: q+1
     307: q+1
     308: 2q+1
     309: q+1
     310: 1
     311: 1
     312: q+1
     313: 1
     314: 1
     315: 1
     316: 1
     317: 1
     318: 1
     319: q+1
     320: q+1
     321: 2q+1
     322: q+1
     323: q+1
     324: q+1
     325: q+1
     326: q+1
     327: q+1
     328: 2q+1
     329: q+1
     330: q+1
     331: 1
     332: 1
     333: 1
     334: q+1
     335: 1
     336: 1
     337: 1
     338: 1
     339: q+1
     340: 1
     341: 1
     342: 2q+1
     343: q+1
     344: 2q+1
     345: q+1
     346: q+1
     347: q+1
     348: q+1
     349: 1
     350: 1
     351: 1
     352: 1
     353: 1
     354: q+1
     355: q+1
     356: q+1
     357: q+1
     358: q+1
     359: 1
     360: 1
     361: 1
     362: q+1
     363: 1
     364: 1
     365: 1
     366: 1
     367: 1
     368: 1
     369: 1
     370: 1
     371: q+1
     372: q+1
     373: q+1
     374: q+1
     375: q+1
     376: q+1
     377: q+1
     378: q+1
     379: 2q+1
     380: q+1
     381: 1
     382: q+1
     383: 1
     384: 1
     390: 1
     391: 1
     392: q+1
     393: 1
     394: 1
     395: 1
     396: 1
     397: q+1
     398: 1
     399: 1
     403: q+1
     404: 1
     405: 1
     406: 1
     407: 1
     408: 1
     409: 1
     411: q+1
     412: q+1
     413: 1
     414: 1
     415: 1
     416: 1
     417: 1
     418: 1
     419: 1
     420: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     426: q+1
     427: q+1
     428: q+1
     429: q+1
     430: q+1
     431: q+1
     432: 1
     433: 1
     434: q+1
     435: 1
     436: 1
     437: 1
     443: 1
     444: 1
     445: q+1
     446: 1
     447: 1
     453: 1
     454: 1
     455: 1
     456: 1
     457: 1
     458: 1
     460: q+1
     462: 1
     463: 1
     464: 1
     465: 1
     466: 1
     467: 1
     468: 1
     469: 1
     470: 1
     471: 1
     473: q+1
     474: q+1
     475: q+1
     476: 1
     477: 1
     479: 1
     480: 1
     481: 1
     482: 1
     483: 1
     503: 1
     504: 1
     505: 1
     510: 1
     511: 1
     512: 1
     513: 1
     514: 1
     515: 1
     518: q+1
     520: 1
     521: 1
     522: 1
     524: 1
     525: 1
     526: 1
     527: 1
     541: 1
     547: 1
     548: 1
     549: 1
     556: 1
     557: 1
     558: 1
     561: 1
     562: 1
     580: 1
     590: 1
     591: 1
     593: 1
     612: 1

613:   0: q^2+q+1
       1: q^2+q+1
       2: q^2+q+1
       3: 1
       4: q^2+q+1
       5: q^2+q+1
       6: 1
       7: q^2+q+1
       8: q^2+q+1
       9: q^2+q+1
      10: 1
      11: q^2+q+1
      12: 1
      13: q^4+q^3+2q^2+q+1
      14: 1
      15: q^2+q+1
      16: 1
      17: 1
      18: 1
      19: 1
      20: 1
      21: q^2+q+1
      22: 1
      23: q^2+q+1
      24: 1
      25: 1
      26: q^2+q+1
      27: 1
      28: q^2+q+1
      29: 1
      30: 1
      31: q^2+q+1
      32: 1
      33: q^2+q+1
      34: 1
      35: 1
      36: q^2+q+1
      37: q^2+q+1
      38: 1
      39: 1
      40: 1
      41: 1
      42: 1
      43: 1
      44: q^2+q+1
      45: 1
      46: q^2+q+1
      47: q^2+q+1
      48: q^2+q+1
      49: q^2+q+1
      50: q^2+q+1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: 1
      57: q^2+q+1
      58: q^2+q+1
      59: q^2+q+1
      60: q^2+q+1
      61: q^2+q+1
      62: 1
      63: q^2+q+1
      64: 1
      65: 1
      66: q^2+q+1
      67: 1
      68: q^2+q+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: q^2+q+1
      79: 1
      80: 1
      81: 1
      82: 1
      83: q^2+q+1
      84: 1
      85: 1
      86: q^2+q+1
      87: q^2+q+1
      88: q^2+q+1
      89: q^2+q+1
      90: q^2+q+1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: 1
      97: 1
      98: 1
      99: 1
     100: 1
     101: q^2+q+1
     102: q^2+q+1
     103: q^2+q+1
     104: 1
     105: 1
     106: 1
     107: q^2+q+1
     108: q^2+q+1
     109: q^2+q+1
     110: q^2+q+1
     111: q^2+q+1
     112: 1
     113: q^2+q+1
     114: 1
     115: 1
     116: q^2+q+1
     117: q^2+q+1
     118: 1
     119: 1
     120: 1
     121: 1
     122: 1
     123: q^2+q+1
     124: 1
     125: 1
     126: 1
     127: 1
     128: q^2+q+1
     129: 1
     130: 1
     131: 1
     132: 1
     133: q^2+q+1
     134: 1
     135: 1
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: 1
     144: 1
     145: 1
     146: 1
     147: q^2+q+1
     148: q^2+q+1
     149: 1
     150: 1
     151: 1
     152: 1
     153: 1
     154: 1
     155: 1
     156: 1
     157: 1
     158: 1
     159: q^2+q+1
     160: q^2+q+1
     161: q^2+q+1
     162: q^2+q+1
     163: q^2+q+1
     164: 1
     165: 1
     166: 1
     167: 1
     168: 1
     169: q^2+q+1
     170: 1
     171: 1
     172: 1
     173: 1
     174: q^2+q+1
     175: 1
     176: 1
     177: 1
     178: 1
     179: q^2+q+1
     180: 1
     181: 1
     182: 1
     183: 1
     184: q^2+q+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: q^2+q+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: q^2+q+1
     218: q^2+q+1
     219: 1
     220: 1
     221: q^2+q+1
     222: 1
     223: 1
     224: 1
     225: 1
     226: q^2+q+1
     227: 1
     228: 1
     229: 1
     230: 1
     231: q^2+q+1
     232: 1
     233: 1
     234: 1
     235: 1
     236: q^2+q+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: q^2+q+1
     273: 1
     274: 1
     276: 1
     279: 1
     280: 1
     281: q^2+q+1
     282: 1
     283: 1
     284: 1
     285: 1
     286: q^2+q+1
     287: 1
     288: 1
     289: 1
     290: 1
     291: q^2+q+1
     292: 1
     293: 1
     294: 1
     295: 1
     296: 1
     297: 1
     298: 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
     328: 1
     329: 1
     330: 1
     331: 1
     332: 1
     334: 1
     337: 1
     338: 1
     339: q^2+q+1
     340: 1
     341: 1
     342: 1
     343: 1
     344: q^2+q+1
     345: 1
     346: 1
     347: 1
     348: 1
     354: 1
     355: 1
     356: 1
     357: 1
     358: 1
     360: 1
     361: 1
     362: 1
     363: 1
     364: 1
     365: 1
     366: 1
     367: 1
     368: 1
     369: 1
     370: 1
     371: 1
     372: 1
     373: 1
     374: 1
     375: 1
     376: 1
     377: 1
     378: 1
     379: 1
     380: 1
     381: 1
     382: 1
     383: 1
     384: 1
     385: 1
     387: 1
     390: 1
     392: 1
     395: 1
     396: 1
     397: q^2+q+1
     398: 1
     399: 1
     403: 1
     410: 1
     411: 1
     412: 1
     414: 1
     416: 1
     417: 1
     418: 1
     419: 1
     420: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     426: 1
     427: 1
     428: 1
     429: 1
     430: 1
     431: 1
     433: 1
     434: 1
     435: 1
     436: 1
     437: 1
     438: 1
     440: 1
     443: 1
     445: 1
     459: 1
     460: 1
     464: 1
     466: 1
     467: 1
     468: 1
     469: 1
     470: 1
     471: 1
     473: 1
     474: 1
     475: 1
     478: 1
     479: 1
     480: 1
     481: 1
     482: 1
     483: 1
     484: 1
     486: 1
     489: 1
     491: 1
     506: 1
     507: 1
     513: 1
     514: 1
     515: 1
     518: 1
     523: 1
     524: 1
     525: 1
     526: 1
     527: 1
     528: 1
     530: 1
     542: 1
     549: 1
     559: 1
     560: 1
     561: 1
     562: 1
     563: 1
     565: 1
     575: 1
     592: 1
     593: 1
     613: 1

614:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: 1
       5: q+1
       6: q+1
       7: 1
       8: 1
       9: q+1
      10: q+1
      11: 1
      12: q+1
      13: 1
      14: q+1
      15: 1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      20: q+1
      21: q+1
      22: q+1
      23: 1
      24: q+1
      25: q+1
      26: q+1
      27: q+1
      28: 1
      29: q+1
      30: q+1
      31: q+1
      32: q+1
      33: 1
      34: q+1
      35: q+1
      36: q+1
      37: 1
      38: q+1
      39: q+1
      40: q+1
      41: q+1
      42: q+1
      43: q+1
      44: 1
      45: q+1
      46: 1
      47: 1
      48: 1
      49: 1
      50: 1
      51: q+1
      52: q+1
      53: q+1
      54: q+1
      55: q+1
      56: q+1
      57: 1
      58: 1
      59: 1
      60: 1
      61: q+1
      62: q+1
      63: 1
      64: q+1
      65: q+1
      66: q+1
      67: q+1
      68: 1
      69: q+1
      70: q+1
      71: q+1
      72: 1
      73: q+1
      74: q+1
      75: q+1
      76: q+1
      77: q+1
      78: 1
      79: q+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: 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: 1
     101: 1
     102: 1
     103: 1
     104: 1
     105: 1
     106: 1
     107: 1
     108: 1
     109: 1
     110: 1
     111: q+1
     112: q+1
     113: 1
     114: q+1
     115: q+1
     116: q+1
     117: 1
     118: q+1
     119: q+1
     120: q+1
     121: q+1
     122: q+1
     123: 1
     124: q+1
     125: q+1
     126: 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: q+1
     141: q+1
     142: q+1
     143: q+1
     144: q+1
     145: q+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: q+1
     163: 1
     164: q+1
     165: q+1
     166: q+1
     167: q+1
     168: q+1
     169: 1
     170: q+1
     171: q+1
     172: 1
     173: 1
     174: 1
     175: 1
     176: 1
     177: 1
     178: 1
     180: 1
     181: 1
     182: 1
     183: 1
     184: 1
     185: 1
     186: 1
     187: q+1
     188: q+1
     189: q+1
     190: q+1
     191: q+1
     192: q+1
     193: q+1
     194: q+1
     195: q+1
     196: 1
     197: 1
     198: 1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: 1
     205: 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: q+1
     220: q+1
     221: 1
     222: q+1
     223: q+1
     224: 1
     225: 1
     226: 1
     227: 1
     228: 1
     229: 1
     230: 1
     232: 1
     233: 1
     234: 1
     235: 1
     236: 1
     237: 1
     238: 1
     239: q+1
     240: q+1
     241: q+1
     242: q+1
     243: q+1
     244: q+1
     245: q+1
     246: 1
     247: 1
     248: 1
     249: 1
     250: 1
     251: 1
     252: 1
     253: 1
     254: 1
     255: 1
     257: 1
     258: 1
     259: 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
     274: 1
     275: 1
     277: 1
     278: 1
     279: 1
     280: 1
     281: 1
     282: 1
     283: 1
     284: 1
     285: 1
     287: 1
     288: 1
     289: 1
     290: 1
     291: 1
     292: 1
     293: 1
     294: q+1
     295: q+1
     296: q+1
     297: 1
     298: 1
     299: 1
     300: 1
     301: 1
     302: 1
     303: 1
     304: 1
     305: 1
     306: 1
     307: 1
     308: 1
     309: 1
     313: 1
     314: 1
     315: 1
     316: 1
     317: 1
     319: 1
     320: 1
     321: 1
     322: 1
     323: 1
     324: 1
     325: 1
     326: 1
     327: 1
     328: 1
     329: 1
     332: 1
     333: 1
     335: 1
     336: 1
     337: 1
     338: 1
     340: 1
     341: 1
     342: 1
     343: 1
     344: 1
     345: 1
     346: 1
     347: q+1
     348: 1
     349: 1
     350: 1
     351: 1
     352: 1
     353: 1
     354: 1
     355: 1
     356: 1
     357: 1
     358: 1
     363: 1
     364: 1
     365: 1
     366: 1
     367: 1
     368: 1
     371: 1
     372: 1
     373: 1
     374: 1
     375: 1
     376: 1
     377: 1
     378: 1
     379: 1
     380: 1
     385: 1
     386: 1
     388: 1
     389: 1
     390: 1
     391: 1
     393: 1
     394: 1
     395: 1
     396: 1
     398: 1
     399: 1
     400: 1
     401: 1
     402: 1
     403: 1
     404: 1
     405: 1
     406: 1
     407: 1
     408: 1
     409: 1
     411: 1
     412: 1
     418: 1
     419: 1
     420: 1
     421: 1
     422: 1
     423: 1
     426: 1
     427: 1
     428: 1
     429: 1
     430: 1
     431: 1
     438: 1
     439: 1
     441: 1
     442: 1
     443: 1
     444: 1
     446: 1
     447: 1
     448: 1
     449: 1
     450: 1
     451: 1
     452: 1
     453: 1
     454: 1
     455: 1
     456: 1
     457: 1
     458: 1
     460: 1
     467: 1
     468: 1
     469: 1
     473: 1
     474: 1
     475: 1
     484: 1
     485: 1
     487: 1
     488: 1
     489: 1
     490: 1
     492: 1
     493: 1
     494: 1
     495: 1
     496: 1
     497: 1
     498: 1
     499: 1
     500: 1
     501: 1
     502: 1
     503: 1
     504: 1
     505: 1
     514: 1
     518: 1
     528: 1
     529: 1
     531: 1
     532: 1
     533: 1
     534: 1
     535: 1
     536: 1
     537: 1
     538: 1
     539: 1
     540: 1
     541: 1
     563: 1
     564: 1
     566: 1
     567: 1
     568: 1
     569: 1
     570: 1
     571: 1
     572: 1
     573: 1
     574: 1
     594: 1
     595: 1
     596: 1
     614: 1

615:   0: q^2+q+1
       1: q^2+q+1
       2: q^3+q^2+q+1
       3: q^2+q+1
       4: q^2+q+1
       5: 1
       6: q^2+q+1
       7: q^2+q+1
       8: q^3+q^2+q+1
       9: 1
      10: 1
      11: 1
      12: q+1
      13: q^3+q^2+q+1
      14: 1
      15: 1
      16: q^6+1
      17: q^6+1
      18: q^6+1
      19: q^6+1
      21: 1
      22: 1
      23: 1
      24: q^6+1
      25: q^6+1
      26: 1
      27: 1
      28: 1
      29: 1
      31: q^2+q+1
      32: q^2+q+1
      33: q^2+q+1
      34: q^6+1
      35: q^6+1
      36: q^2+q+1
      37: q^2+q+1
      38: q+1
      39: 1
      40: 1
      41: q^2+q+1
      42: q^2+q+1
      43: 1
      44: q^3+q^2+q+1
      45: 1
      46: q^2+q+1
      47: q^2+q+1
      48: q^3+q^2+q+1
      49: 1
      50: 1
      51: q^6+1
      52: 1
      53: 1
      54: 1
      55: 1
      56: q^2+q+1
      57: 1
      58: 1
      59: q^2+q+1
      60: q^2+q+1
      61: 1
      62: 1
      63: 1
      64: 1
      66: 1
      67: 1
      68: 1
      69: 1
      71: q^2+q+1
      72: q^2+q+1
      73: q+1
      74: 1
      75: 1
      76: q^2+q+1
      77: q+1
      78: q^2+q+1
      79: 1
      80: 1
      81: q^2+q+1
      82: q^2+q+1
      83: q^3+q^2+q+1
      84: 1
      85: 1
      86: q^2+q+1
      87: q^2+q+1
      88: q^3+q^2+q+1
      89: 1
      90: 1
      92: 1
      93: 1
      94: 1
      95: q+1
      96: 1
      97: 1
      98: 1
      99: 1
     100: q^2+q+1
     101: 1
     102: 1
     103: q^2+q+1
     104: 1
     105: 1
     106: q^2+q+1
     107: 1
     108: 1
     109: q^2+q+1
     110: q^2+q+1
     111: 1
     112: 1
     113: 1
     114: 1
     116: 1
     117: 1
     118: 1
     119: 1
     121: q^2+q+1
     122: q+1
     123: q^2+q+1
     124: 1
     125: 1
     126: q^2+q+1
     127: q+1
     128: q^2+q+1
     129: 1
     130: 1
     131: q^2+q+1
     132: q^2+q+1
     133: q^3+q^2+q+1
     134: 1
     135: 1
     137: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: 1
     144: 1
     145: q+1
     146: q^2+q+1
     147: 1
     148: 1
     149: q+1
     150: 1
     151: 1
     152: 1
     153: 1
     154: q^2+q+1
     155: q^2+q+1
     156: 1
     157: 1
     158: q^2+q+1
     159: 1
     160: 1
     161: q^2+q+1
     162: 1
     163: 1
     164: 1
     165: 1
     167: 1
     168: 1
     169: 1
     170: 1
     172: q^2+q+1
     173: q+1
     174: q^2+q+1
     175: 1
     176: 1
     177: q^2+q+1
     178: q^2+q+1
     179: q^3+q^2+q+1
     180: 1
     181: 1
     182: q^2+q+1
     183: q+1
     184: q^2+q+1
     185: 1
     186: 1
     189: 1
     190: 1
     191: 1
     192: 1
     194: 1
     195: 1
     196: 1
     197: q+1
     198: 1
     199: 1
     200: 1
     201: 1
     202: q+1
     203: 1
     204: 1
     205: q^2+q+1
     206: q^2+q+1
     207: 1
     208: 1
     209: q^2+q+1
     210: q^2+q+1
     211: q+1
     212: 1
     213: 1
     214: q^2+q+1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     224: 1
     225: 1
     226: 1
     227: 1
     229: q^2+q+1
     230: q+1
     231: q^2+q+1
     232: 1
     233: 1
     234: q^2+q+1
     235: q+1
     236: q^2+q+1
     237: 1
     238: 1
     240: 1
     243: 1
     244: 1
     245: 1
     246: 1
     247: 1
     248: 1
     249: 1
     250: 1
     252: 1
     253: 1
     254: 1
     255: q+1
     256: q^2+q+1
     257: q+1
     258: 1
     259: 1
     260: q^2+q+1
     261: 1
     262: 1
     263: q+1
     264: 1
     265: 1
     266: 1
     267: 1
     268: q+1
     269: 1
     270: q^2+q+1
     271: 1
     272: 1
     273: q^2+q+1
     274: q^2+q+1
     275: q+1
     276: q^2+q+1
     277: 1
     278: 1
     279: 1
     280: 1
     281: 1
     282: 1
     284: q^2+q+1
     285: q+1
     286: q^2+q+1
     287: 1
     288: 1
     289: 1
     290: 1
     291: 1
     292: 1
     296: 1
     297: 1
     298: 1
     299: q+1
     300: 1
     301: 1
     302: 1
     305: 1
     306: 1
     307: 1
     308: 1
     309: 1
     310: q^2+q+1
     311: q+1
     312: 1
     313: 1
     314: 1
     315: 1
     316: q+1
     317: 1
     318: q^2+q+1
     319: 1
     320: 1
     321: 1
     322: 1
     323: 1
     324: 1
     326: 1
     327: 1
     328: 1
     329: q+1
     330: q^2+q+1
     331: q^2+q+1
     332: q^2+q+1
     333: q+1
     334: q^2+q+1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: 1
     342: 1
     343: 1
     344: 1
     345: 1
     348: 1
     349: 1
     350: 1
     351: 1
     352: q+1
     353: 1
     356: 1
     357: 1
     358: 1
     359: q+1
     360: q^2+q+1
     361: 1
     362: 1
     363: 1
     364: 1
     365: 1
     367: 1
     368: 1
     369: 1
     370: q+1
     371: 1
     372: 1
     373: 1
     376: 1
     377: 1
     378: 1
     379: 1
     380: 1
     381: q+1
     382: 1
     383: q^2+q+1
     384: q^2+q+1
     385: q+1
     386: q+1
     387: q+1
     388: 1
     389: 1
     390: 1
     391: 1
     392: 1
     393: 1
     395: 1
     396: 1
     397: 1
     398: 1
     400: 1
     401: 1
     402: q+1
     404: 1
     405: 1
     406: 1
     408: 1
     409: 1
     410: q+1
     412: 1
     413: 1
     414: 1
     415: q+1
     416: 1
     417: 1
     418: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     426: 1
     429: 1
     430: 1
     431: 1
     432: q+1
     433: 1
     434: 1
     435: q^2+q+1
     436: q+1
     437: 1
     443: 1
     444: 1
     445: 1
     446: 1
     448: 1
     451: 1
     453: 1
     456: 1
     457: 1
     458: 1
     461: q+1
     462: 1
     463: 1
     464: 1
     465: 1
     466: 1
     469: 1
     470: 1
     471: 1
     472: q+1
     475: 1
     476: 1
     477: q+1
     478: q+1
     479: 1
     480: 1
     481: 1
     482: 1
     483: 1
     500: 1
     505: 1
     508: 1
     510: 1
     511: 1
     512: 1
     515: 1
     516: 1
     517: q+1
     519: q+1
     520: 1
     521: 1
     522: 1
     524: 1
     525: 1
     526: 1
     527: 1
     543: 1
     548: 1
     550: 1
     551: 1
     552: q+1
     553: 1
     554: 1
     556: 1
     557: 1
     558: 1
     562: 1
     581: 1
     582: 1
     584: 1
     585: 1
     586: 1
     591: 1
     597: 1
     602: 1
     607: 1
     615: 1

616:   0: q^3+1
       1: 1
       2: q^3+1
       3: q^3+1
       4: q^3+1
       5: 1
       6: 1
       7: 1
       8: q^3+1
      10: 1
      11: 1
      12: 1
      13: q^3+1
      16: 1
      18: q^7+1
      26: 1
      27: 1
      28: 1
      29: 1
      31: 1
      32: 1
      33: 1
      34: 1
      36: q^3+1
      37: q^3+1
      38: 1
      39: 1
      41: q^3+1
      42: 1
      43: 1
      44: q^3+1
      46: q^3+1
      47: 1
      48: q^3+1
      49: 1
      53: 1
      55: 1
      56: 1
      58: 1
      59: 1
      60: q^3+1
      66: 1
      67: 1
      68: 1
      69: 1
      71: 1
      72: 1
      73: 1
      74: 1
      76: q^3+1
      77: 1
      78: q^3+1
      79: 1
      81: q^3+1
      82: 1
      83: q^3+1
      84: 1
      86: q^3+1
      87: 1
      88: q^3+1
      89: 1
      92: 1
      95: 1
      97: 1
      99: 1
     100: q^3+1
     102: 1
     103: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: q^3+1
     116: 1
     117: 1
     118: 1
     119: 1
     121: 1
     122: 1
     123: 1
     124: 1
     126: q^3+1
     127: 1
     128: q^3+1
     129: 1
     131: q^3+1
     132: 1
     133: q^3+1
     134: 1
     139: 1
     140: 1
     142: 1
     145: 1
     146: 1
     148: 1
     149: 1
     151: 1
     153: 1
     154: q^3+1
     155: q^3+1
     157: 1
     158: 1
     160: 1
     161: 1
     167: 1
     168: 1
     169: 1
     170: 1
     172: 1
     173: 1
     174: 1
     175: 1
     177: q^3+1
     178: 1
     179: q^3+1
     180: 1
     182: q^3+1
     183: 1
     184: q^3+1
     185: 1
     191: 1
     194: 1
     195: 1
     196: 1
     197: 1
     199: 1
     200: 1
     202: 1
     205: 1
     206: q^3+1
     208: 1
     209: 1
     210: 1
     211: 1
     213: 1
     214: q^3+1
     216: 1
     218: 1
     224: 1
     225: 1
     226: 1
     227: 1
     229: q^3+1
     230: 1
     231: q^3+1
     232: 1
     234: 1
     235: 1
     236: 1
     237: 1
     245: 1
     247: 1
     248: 1
     252: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     259: 1
     260: q^3+1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     268: 1
     270: 1
     273: q^3+1
     274: q^3+1
     275: 1
     276: q^3+1
     277: 1
     284: 1
     285: 1
     286: 1
     287: 1
     289: 1
     290: 1
     291: 1
     292: 1
     297: 1
     299: 1
     301: 1
     307: 1
     309: 1
     310: q^3+1
     311: 1
     312: 1
     313: 1
     314: 1
     316: 1
     318: 1
     320: 1
     322: 1
     326: 1
     327: 1
     328: 1
     329: 1
     330: 1
     331: q^3+1
     332: 1
     333: 1
     334: 1
     335: 1
     337: 1
     338: 1
     339: 1
     340: 1
     349: 1
     350: 1
     352: 1
     357: 1
     359: 1
     360: 1
     361: 1
     363: 1
     367: 1
     368: 1
     369: 1
     370: 1
     371: 1
     378: 1
     380: 1
     381: 1
     382: 1
     383: q^3+1
     384: 1
     385: 1
     386: 1
     387: 1
     388: 1
     390: 1
     391: 1
     392: 1
     393: 1
     400: 1
     402: 1
     404: 1
     408: 1
     409: 1
     410: 1
     413: 1
     414: 1
     415: 1
     416: 1
     423: 1
     425: 1
     430: 1
     432: 1
     433: 1
     435: 1
     436: 1
     437: 1
     438: 1
     439: 1
     440: 1
     441: 1
     450: 1
     451: 1
     452: 1
     458: 1
     459: 1
     461: 1
     462: 1
     465: 1
     470: 1
     472: 1
     476: 1
     477: 1
     478: 1
     479: 1
     481: 1
     482: 1
     502: 1
     508: 1
     509: 1
     511: 1
     516: 1
     517: 1
     519: 1
     520: 1
     522: 1
     523: 1
     526: 1
     544: 1
     550: 1
     552: 1
     553: 1
     554: 1
     555: 1
     557: 1
     581: 1
     583: 1
     584: 1
     587: 1
     597: 1
     603: 1
     616: 1

617:   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^4+2q+1
       6: q^2+2q+1
       7: q^2+2q+1
       8: q^2+2q+1
       9: q^4+2q+1
      10: q^4+2q+1
      11: q^4+2q+1
      12: q^2+2q+1
      13: q^2+2q+1
      14: q^4+2q+1
      15: q^4+2q+1
      16: q^4+2q+1
      17: q^4+2q+1
      18: q^4+2q+1
      19: q^4+2q+1
      20: q^5+q^4+q+1
      21: q^4+2q+1
      22: q^4+2q+1
      23: q^4+2q+1
      24: q^4+2q+1
      25: q^4+2q+1
      26: 2q+1
      27: 2q+1
      28: 2q+1
      29: 2q+1
      30: q^4+q+1
      31: q^2+2q+1
      32: q^2+2q+1
      33: q^2+2q+1
      34: q^4+2q+1
      35: q^4+2q+1
      36: q^2+2q+1
      37: q^2+2q+1
      38: q^2+2q+1
      39: q^4+2q+1
      40: q^4+2q+1
      41: q^2+2q+1
      42: q^2+2q+1
      43: q^4+2q+1
      44: q^2+2q+1
      45: q^4+2q+1
      46: q^2+2q+1
      47: q^2+2q+1
      48: q^2+2q+1
      49: q^4+2q+1
      50: q^4+2q+1
      51: q^4+2q+1
      52: q^4+2q+1
      53: 2q+1
      54: q^4+2q+1
      55: 2q+1
      56: q^2+2q+1
      57: q^4+2q+1
      58: 2q+1
      59: q^2+2q+1
      60: q^2+2q+1
      61: 2q+1
      62: 2q+1
      63: 2q+1
      64: 2q+1
      65: q^4+q+1
      66: 2q+1
      67: 2q+1
      68: 2q+1
      69: 2q+1
      70: q^4+q+1
      71: q^2+2q+1
      72: q^2+2q+1
      73: q^2+2q+1
      74: q^4+2q+1
      75: q^4+2q+1
      76: q^2+2q+1
      77: q^2+2q+1
      78: q^2+2q+1
      79: q^4+2q+1
      80: q^4+2q+1
      81: q^2+2q+1
      82: q^2+2q+1
      83: q^2+2q+1
      84: q^4+2q+1
      85: q^4+2q+1
      86: q+1
      87: q+1
      88: q+1
      89: q+1
      90: q+1
      91: q+1
      92: 2q+1
      93: 2q+1
      94: q^4+2q+1
      95: q^2+2q+1
      96: 2q+1
      97: 2q+1
      98: q^4+2q+1
      99: 2q+1
     100: q^2+2q+1
     101: 2q+1
     102: 2q+1
     103: q^2+2q+1
     104: q^4+2q+1
     105: 2q+1
     106: q^2+2q+1
     107: q+1
     108: q+1
     109: q+1
     110: q+1
     111: 2q+1
     112: 2q+1
     113: 2q+1
     114: 2q+1
     115: q^4+q+1
     116: 2q+1
     117: 2q+1
     118: 2q+1
     119: 2q+1
     120: q^4+q+1
     121: q^2+2q+1
     122: q^2+2q+1
     123: q^2+2q+1
     124: q^4+2q+1
     125: q^4+2q+1
     126: q^2+2q+1
     127: q^2+2q+1
     128: q^2+2q+1
     129: q^4+2q+1
     130: q^4+2q+1
     131: q+1
     132: q+1
     133: q+1
     134: q+1
     135: q+1
     136: q+1
     137: 2q+1
     138: q+1
     139: 2q+1
     140: 2q+1
     141: 2q+1
     142: 2q+1
     143: q^4+2q+1
     144: 2q+1
     145: q^2+2q+1
     146: q^2+2q+1
     147: 2q+1
     148: 2q+1
     149: q^2+2q+1
     150: q^4+2q+1
     151: 2q+1
     152: 2q+1
     153: 2q+1
     154: q^2+2q+1
     155: q+1
     156: q+1
     157: q+1
     158: q+1
     159: q+1
     160: q+1
     161: q+1
     162: 2q+1
     163: 2q+1
     164: 2q+1
     165: 2q+1
     166: q^4+q+1
     167: 2q+1
     168: 2q+1
     169: 2q+1
     170: 2q+1
     171: q^4+q+1
     172: q^2+2q+1
     173: q^2+2q+1
     174: q^2+2q+1
     175: q^4+2q+1
     176: q^4+2q+1
     177: q+1
     178: q+1
     179: q+1
     180: q+1
     181: q+1
     182: q+1
     183: q+1
     184: q+1
     185: q+1
     186: q+1
     187: q+1
     188: q+1
     189: 2q+1
     190: 2q+1
     191: 2q+1
     192: 2q+1
     193: q+1
     194: 2q+1
     195: 2q+1
     196: 2q+1
     197: q^2+2q+1
     198: 2q+1
     199: 2q+1
     200: 2q+1
     201: q^4+2q+1
     202: q^2+2q+1
     203: 2q+1
     204: 2q+1
     205: q^2+2q+1
     206: q+1
     207: q+1
     208: q+1
     209: q+1
     210: q+1
     211: q+1
     212: q+1
     213: q+1
     214: q+1
     215: q+1
     216: q+1
     217: q+1
     218: q+1
     219: 2q+1
     220: 2q+1
     221: 2q+1
     222: 2q+1
     223: q^4+q+1
     224: 2q+1
     225: 2q+1
     226: 2q+1
     227: 2q+1
     228: q^4+q+1
     229: q+1
     230: q+1
     231: q+1
     232: q+1
     233: q+1
     234: q+1
     235: q+1
     236: q+1
     237: q+1
     238: q+1
     239: q+1
     240: 2q+1
     241: q+1
     242: q+1
     243: 2q+1
     244: 2q+1
     245: 2q+1
     246: 2q+1
     247: 2q+1
     248: 2q+1
     249: 2q+1
     250: 2q+1
     251: q+1
     252: 2q+1
     253: 2q+1
     254: 2q+1
     255: q^2+2q+1
     256: q+1
     257: q+1
     258: q+1
     259: q+1
     260: q+1
     261: q+1
     262: q+1
     263: q+1
     264: q+1
     265: q+1
     266: q+1
     267: q+1
     268: q+1
     269: q+1
     270: q+1
     271: q+1
     272: q+1
     274: q+1
     275: q+1
     276: q+1
     277: q+1
     278: q+1
     279: 2q+1
     280: 2q+1
     281: 2q+1
     282: 2q+1
     283: q^4+q+1
     284: q+1
     285: q+1
     286: q+1
     287: q+1
     288: q+1
     289: 1
     290: 1
     291: 1
     292: 1
     293: 1
     294: q+1
     295: q+1
     296: 2q+1
     297: 2q+1
     298: 2q+1
     299: q+1
     300: q+1
     301: q+1
     302: 2q+1
     303: q+1
     304: q+1
     305: 2q+1
     306: 2q+1
     307: 2q+1
     308: 2q+1
     309: 2q+1
     310: q+1
     311: q+1
     312: q+1
     313: q+1
     314: q+1
     315: q+1
     316: q+1
     317: q+1
     318: q+1
     319: q+1
     320: q+1
     321: q+1
     322: q+1
     323: q+1
     324: q+1
     325: 1
     326: 1
     327: 1
     328: 1
     329: q+1
     332: q+1
     333: q+1
     334: q+1
     335: q+1
     336: q+1
     337: 1
     338: 1
     339: 1
     340: 1
     341: 1
     342: 1
     343: 1
     344: 1
     345: 1
     346: 1
     347: q+1
     348: 2q+1
     349: q+1
     350: q+1
     351: q+1
     352: q+1
     353: q+1
     354: q+1
     355: q+1
     356: 2q+1
     357: 2q+1
     358: 2q+1
     359: q+1
     360: q+1
     361: q+1
     362: q+1
     363: q+1
     364: q+1
     365: q+1
     366: 1
     367: 1
     368: 1
     369: 1
     370: q+1
     371: q+1
     372: q+1
     373: q+1
     374: 1
     375: 1
     376: 1
     377: 1
     378: 1
     379: 1
     380: 1
     385: q+1
     386: q+1
     387: q+1
     388: q+1
     389: q+1
     390: 1
     391: 1
     392: 1
     393: 1
     394: 1
     395: 1
     396: 1
     397: 1
     398: 1
     399: 1
     400: q+1
     401: q+1
     402: q+1
     403: q+1
     404: q+1
     405: q+1
     406: q+1
     407: 1
     408: 1
     409: 1
     410: q+1
     411: q+1
     412: 2q+1
     413: q+1
     414: 1
     415: q+1
     416: q+1
     417: q+1
     418: q+1
     419: 1
     420: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     426: q+1
     427: 1
     428: 1
     429: 1
     430: 1
     431: 1
     438: 1
     439: 1
     440: 1
     441: 1
     442: 1
     443: 1
     444: 1
     445: 1
     446: 1
     447: 1
     448: q+1
     449: 1
     450: 1
     451: q+1
     452: 1
     453: q+1
     454: 1
     455: 1
     456: 1
     457: 1
     458: 1
     459: 1
     460: q+1
     461: q+1
     462: q+1
     463: q+1
     464: 1
     465: 1
     466: q+1
     467: 1
     468: 1
     469: 1
     470: 1
     471: 1
     473: 1
     474: 1
     475: 1
     484: 1
     485: 1
     486: 1
     487: 1
     488: 1
     489: 1
     490: 1
     491: 1
     492: 1
     493: 1
     494: 1
     495: 1
     496: 1
     497: 1
     498: 1
     499: 1
     500: q+1
     501: 1
     502: 1
     503: 1
     504: 1
     505: 1
     506: 1
     507: 1
     508: q+1
     509: 1
     510: q+1
     511: 1
     512: 1
     513: 1
     514: 1
     515: 1
     518: 1
     528: 1
     529: 1
     530: 1
     531: 1
     532: 1
     533: 1
     534: 1
     535: 1
     536: 1
     537: 1
     538: 1
     539: 1
     540: 1
     541: 1
     542: 1
     543: q+1
     544: 1
     545: 1
     546: 1
     547: 1
     548: 1
     549: 1
     570: 1
     572: 1
     573: 1
     574: 1
     576: 1
     577: 1
     578: 1
     579: 1
     580: 1
     595: 1
     598: 1
     599: 1
     600: 1
     617: 1

618:   0: q^3+2q^2+2q+1
       1: q^2+2q+1
       2: q^3+2q^2+2q+1
       3: q^3+2q^2+2q+1
       4: q^3+2q^2+2q+1
       5: q^2+2q+1
       6: q^2+2q+1
       7: q^2+2q+1
       8: q^3+2q^2+2q+1
       9: q^2+2q+1
      10: q^2+2q+1
      11: q^2+2q+1
      12: q^2+2q+1
      13: q^3+2q^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+1
      19: q+1
      20: q+1
      21: q^2+2q+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^2+2q+1
      30: q+1
      31: q^2+2q+1
      32: q^2+2q+1
      33: q^2+2q+1
      34: q+1
      35: q+1
      36: q^3+2q^2+2q+1
      37: q^3+2q^2+2q+1
      38: q^2+2q+1
      39: q^2+2q+1
      40: q^2+2q+1
      41: q^3+2q^2+2q+1
      42: q^2+2q+1
      43: q^2+2q+1
      44: q^3+2q^2+2q+1
      45: q^2+2q+1
      46: q^3+2q^2+2q+1
      47: q^2+2q+1
      48: q^3+2q^2+2q+1
      49: q^2+2q+1
      50: q^2+2q+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^2+2q+1
      57: q^2+2q+1
      58: q^2+2q+1
      59: q^2+2q+1
      60: q^3+2q^2+2q+1
      61: q^2+2q+1
      62: q^2+2q+1
      63: q^2+2q+1
      64: q^2+2q+1
      65: q+1
      66: q^2+2q+1
      67: q^2+2q+1
      68: q^2+2q+1
      69: q+1
      70: q+1
      71: q^2+2q+1
      72: q^2+2q+1
      73: q^2+2q+1
      74: q+1
      75: q+1
      76: q^3+2q^2+2q+1
      77: q^2+2q+1
      78: q^3+2q^2+2q+1
      79: q^2+2q+1
      80: q^2+2q+1
      81: q^3+2q^2+2q+1
      82: q^2+2q+1
      83: q^3+2q^2+2q+1
      84: q^2+2q+1
      85: q^2+2q+1
      86: q^2+q+1
      87: q+1
      88: q^2+q+1
      89: q+1
      90: q+1
      91: q+1
      92: q+1
      93: q^2+2q+1
      94: q+1
      95: q^2+2q+1
      96: q^2+2q+1
      97: q^2+2q+1
      98: q^2+2q+1
      99: q^2+2q+1
     100: q^3+2q^2+2q+1
     101: q^2+2q+1
     102: q^2+2q+1
     103: q^2+2q+1
     104: q^2+2q+1
     105: q^2+2q+1
     106: q^2+2q+1
     107: q+1
     108: q+1
     109: q+1
     110: q^2+q+1
     111: q^2+2q+1
     112: q^2+2q+1
     113: q^2+2q+1
     114: q+1
     115: q+1
     116: q^2+2q+1
     117: q^2+2q+1
     118: q^2+2q+1
     119: q+1
     120: q+1
     121: q^2+2q+1
     122: q^2+2q+1
     123: q^2+2q+1
     124: q+1
     125: q+1
     126: q^3+2q^2+2q+1
     127: q^2+2q+1
     128: q^3+2q^2+2q+1
     129: q^2+2q+1
     130: q^2+2q+1
     131: q^2+q+1
     132: q+1
     133: q^2+q+1
     134: q+1
     135: q+1
     136: q+1
     137: q+1
     138: q+1
     139: q+1
     140: q^2+2q+1
     141: q^2+2q+1
     142: q+1
     143: q+1
     144: q^2+2q+1
     145: q^2+2q+1
     146: q^2+2q+1
     147: q^2+2q+1
     148: q^2+2q+1
     149: q^2+2q+1
     150: q^2+2q+1
     151: q^2+2q+1
     152: q^2+2q+1
     153: q^2+2q+1
     154: q^3+2q^2+2q+1
     155: q^2+q+1
     156: q+1
     157: q+1
     158: q+1
     159: q+1
     160: q+1
     161: q+1
     162: q^2+2q+1
     163: q^2+2q+1
     164: q^2+2q+1
     165: q+1
     166: q+1
     167: q^2+2q+1
     168: q^2+2q+1
     169: q^2+2q+1
     170: q+1
     171: q+1
     172: q^2+2q+1
     173: q^2+2q+1
     174: q^2+2q+1
     175: q+1
     176: q+1
     177: q^2+q+1
     178: q+1
     179: q^2+q+1
     180: q+1
     181: q+1
     182: q^2+q+1
     183: q+1
     184: q^2+q+1
     185: q+1
     186: q+1
     187: q+1
     188: q+1
     189: q+1
     190: q^2+2q+1
     191: q+1
     192: q+1
     193: q+1
     194: q+1
     195: q^2+2q+1
     196: q^2+2q+1
     197: q^2+2q+1
     198: q^2+2q+1
     199: q^2+2q+1
     200: q+1
     201: q+1
     202: q^2+2q+1
     203: q^2+2q+1
     204: q^2+2q+1
     205: q^2+2q+1
     206: q^2+q+1
     207: q+1
     208: q+1
     209: q+1
     210: q+1
     211: q+1
     212: q+1
     213: q+1
     214: q^2+q+1
     215: q+1
     216: q+1
     217: q+1
     218: q+1
     219: q^2+2q+1
     220: q^2+2q+1
     221: q^2+2q+1
     222: q+1
     223: q+1
     224: q^2+2q+1
     225: q^2+2q+1
     226: q^2+2q+1
     227: q+1
     228: q+1
     229: q^2+q+1
     230: q+1
     231: q^2+q+1
     232: q+1
     233: q+1
     234: q+1
     235: q+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^2+2q+1
     245: q+1
     246: q^2+2q+1
     247: q^2+2q+1
     248: q+1
     249: q^2+2q+1
     250: q+1
     251: q+1
     252: q+1
     253: q^2+2q+1
     254: q^2+2q+1
     255: q^2+2q+1
     256: q+1
     257: q+1
     258: q+1
     259: q+1
     260: q^2+q+1
     261: q+1
     262: q+1
     263: q+1
     264: q+1
     265: q+1
     266: 1
     267: 1
     268: q+1
     269: q+1
     270: q+1
     271: q+1
     272: q+1
     274: q^2+q+1
     275: q+1
     276: q^2+q+1
     277: q+1
     278: q+1
     279: q^2+2q+1
     280: q^2+2q+1
     281: q^2+2q+1
     282: q+1
     283: q+1
     284: q+1
     285: q+1
     286: q+1
     287: 1
     288: 1
     289: q+1
     290: q+1
     291: q+1
     292: 1
     293: 1
     294: q+1
     295: q+1
     296: q+1
     297: q+1
     298: q^2+2q+1
     299: q+1
     300: q+1
     301: q+1
     302: q+1
     303: q+1
     304: q+1
     305: q+1
     306: q^2+2q+1
     307: q+1
     308: q^2+2q+1
     309: q^2+2q+1
     310: q^2+q+1
     311: q+1
     312: q+1
     313: q+1
     314: 1
     315: 1
     316: q+1
     317: q+1
     318: q+1
     319: q+1
     320: q+1
     321: q+1
     322: 1
     323: q+1
     324: 1
     325: 1
     326: 1
     327: q+1
     328: q+1
     329: q+1
     332: q+1
     333: q+1
     334: q+1
     335: 1
     336: 1
     337: q+1
     338: q+1
     339: q+1
     340: 1
     341: 1
     342: q+1
     343: q+1
     344: q+1
     345: 1
     346: 1
     347: q+1
     348: q+1
     349: q+1
     350: 1
     351: 1
     352: q+1
     353: q+1
     354: q+1
     355: q+1
     356: q+1
     357: q+1
     358: q^2+2q+1
     359: q+1
     360: q+1
     361: q+1
     362: q+1
     363: 1
     364: q+1
     365: 1
     366: 1
     367: 1
     368: q+1
     369: q+1
     370: q+1
     371: 1
     372: q+1
     373: 1
     374: 1
     375: 1
     376: 1
     377: q+1
     378: 1
     379: q+1
     380: q+1
     385: q+1
     386: q+1
     387: q+1
     388: 1
     389: 1
     390: q+1
     391: q+1
     392: q+1
     393: 1
     394: 1
     395: q+1
     396: q+1
     397: q+1
     398: 1
     399: 1
     400: 1
     401: 1
     402: q+1
     403: q+1
     404: 1
     405: q+1
     406: 1
     407: 1
     408: 1
     409: q+1
     410: q+1
     411: q+1
     412: q+1
     413: q+1
     414: q+1
     415: q+1
     416: 1
     417: q+1
     418: 1
     419: 1
     420: 1
     421: 1
     422: q+1
     423: 1
     424: q+1
     425: q+1
     426: 1
     427: 1
     428: 1
     429: 1
     430: 1
     431: q+1
     438: q+1
     439: q+1
     440: q+1
     441: 1
     442: 1
     443: q+1
     444: q+1
     445: q+1
     446: 1
     447: 1
     448: 1
     449: 1
     450: 1
     451: 1
     452: q+1
     453: 1
     454: 1
     455: 1
     456: 1
     457: q+1
     458: 1
     459: q+1
     460: q+1
     461: q+1
     462: 1
     463: q+1
     464: q+1
     465: q+1
     466: 1
     467: 1
     468: 1
     469: 1
     470: 1
     471: q+1
     473: 1
     474: 1
     475: 1
     484: 1
     485: 1
     486: 1
     487: 1
     489: q+1
     490: q+1
     491: q+1
     492: 1
     493: 1
     495: 1
     496: 1
     497: 1
     498: 1
     499: 1
     500: 1
     501: q+1
     502: 1
     503: 1
     504: 1
     505: 1
     506: 1
     507: q+1
     508: 1
     509: q+1
     510: 1
     511: 1
     512: q+1
     513: 1
     514: 1
     515: 1
     518: 1
     528: 1
     529: 1
     530: 1
     531: 1
     535: 1
     536: 1
     537: 1
     538: 1
     539: 1
     540: 1
     541: 1
     542: 1
     543: 1
     544: 1
     545: 1
     546: q+1
     547: 1
     548: 1
     549: 1
     563: 1
     564: 1
     565: 1
     566: 1
     569: 1
     571: 1
     573: 1
     574: 1
     575: 1
     576: 1
     577: 1
     578: 1
     579: 1
     580: 1
     596: 1
     599: 1
     600: 1
     601: 1
     618: 1

619:   0: q^2+q+1
       1: q^2+q+1
       2: q^2+q+1
       3: q+1
       4: q^2+q+1
       5: q^2+q+1
       6: q+1
       7: q^2+q+1
       8: q^2+q+1
      10: q+1
      11: q^2+q+1
      12: q+1
      13: q^3+q^2+q+1
      16: q+1
      18: q+1
      26: q^2+q+1
      27: q+1
      28: q^2+q+1
      29: q+1
      31: q^2+q+1
      32: q+1
      33: q^2+q+1
      34: q+1
      36: q^2+q+1
      37: q^2+q+1
      38: q+1
      39: q+1
      41: q+1
      42: q+1
      43: q+1
      44: q^2+q+1
      46: q^2+q+1
      47: q^2+q+1
      48: q^2+q+1
      49: q^2+q+1
      53: q+1
      55: q+1
      56: q+1
      58: q^2+q+1
      59: q^2+q+1
      60: q^2+q+1
      66: q^2+q+1
      67: q+1
      68: q^2+q+1
      69: q+1
      71: q^2+q+1
      72: q^2+q+1
      73: q+1
      74: q+1
      76: q+1
      77: q+1
      78: q^2+q+1
      79: q+1
      81: q+1
      82: q+1
      83: q^2+q+1
      84: q+1
      86: q^2+q+1
      87: q^2+q+1
      88: q^2+q+1
      89: q^2+q+1
      92: q+1
      95: q+1
      97: q+1
      99: q+1
     100: q+1
     102: q^2+q+1
     103: q^2+q+1
     105: q+1
     106: q+1
     108: q^2+q+1
     109: q^2+q+1
     110: q^2+q+1
     116: q^2+q+1
     117: q^2+q+1
     118: q+1
     119: q+1
     121: q+1
     122: q+1
     123: q^2+q+1
     124: q+1
     126: q+1
     127: q+1
     128: q^2+q+1
     129: q+1
     131: q+1
     132: q+1
     133: q^2+q+1
     134: q+1
     139: q+1
     140: q+1
     142: q+1
     145: q+1
     146: q+1
     148: q^2+q+1
     149: q+1
     151: q+1
     153: q+1
     154: q+1
     155: q+1
     157: q+1
     158: q+1
     160: q^2+q+1
     161: q^2+q+1
     167: q+1
     168: q+1
     169: q^2+q+1
     170: q+1
     172: q+1
     173: q+1
     174: q^2+q+1
     175: q+1
     177: q+1
     178: q+1
     179: q^2+q+1
     180: q+1
     182: q+1
     183: q+1
     184: q^2+q+1
     185: q+1
     191: q+1
     194: q+1
     195: q+1
     196: q+1
     197: q+1
     199: q+1
     200: q+1
     202: q+1
     205: q+1
     206: q+1
     208: q+1
     209: q+1
     210: q+1
     211: q+1
     213: q+1
     214: q+1
     216: q+1
     218: q^2+q+1
     224: q+1
     225: q+1
     226: q^2+q+1
     227: q+1
     229: q+1
     230: q+1
     231: q^2+q+1
     232: q+1
     234: q+1
     235: q+1
     236: q^2+q+1
     237: q+1
     245: q+1
     247: q+1
     248: q+1
     252: q+1
     253: q+1
     254: q+1
     255: q+1
     256: q+1
     257: q+1
     259: q+1
     260: q+1
     262: q+1
     263: q+1
     264: q+1
     265: q+1
     266: q+1
     268: q+1
     270: q+1
     273: q+1
     274: q+1
     275: 1
     276: q+1
     277: 1
     284: q+1
     285: q+1
     286: q^2+q+1
     287: q+1
     289: q+1
     290: q+1
     291: q^2+q+1
     292: q+1
     297: q+1
     299: 1
     301: 1
     307: q+1
     309: q+1
     310: q+1
     311: q+1
     312: q+1
     313: q+1
     314: q+1
     316: q+1
     318: q+1
     320: q+1
     322: q+1
     326: q+1
     327: q+1
     328: q+1
     329: q+1
     330: q+1
     331: q+1
     332: q+1
     333: 1
     334: q+1
     335: 1
     337: q+1
     338: q+1
     339: q^2+q+1
     340: q+1
     349: 1
     350: 1
     352: 1
     357: q+1
     359: 1
     360: q+1
     361: q+1
     363: q+1
     367: q+1
     368: q+1
     369: q+1
     370: q+1
     371: q+1
     378: q+1
     380: q+1
     381: q+1
     382: q+1
     383: q+1
     384: q+1
     385: q+1
     386: 1
     387: q+1
     388: 1
     390: q+1
     391: 1
     392: q+1
     393: 1
     400: 1
     402: 1
     404: 1
     408: 1
     409: 1
     410: q+1
     413: 1
     414: q+1
     415: 1
     416: q+1
     423: q+1
     425: q+1
     430: q+1
     432: 1
     433: q+1
     435: q+1
     436: q+1
     437: q+1
     438: q+1
     439: 1
     440: q+1
     441: 1
     450: 1
     451: 1
     452: 1
     458: 1
     459: q+1
     461: 1
     462: 1
     465: 1
     470: q+1
     472: 1
     476: 1
     477: 1
     478: q+1
     479: q+1
     481: q+1
     482: q+1
     484: q+1
     485: 1
     486: q+1
     487: 1
     495: 1
     499: 1
     502: 1
     506: q+1
     508: 1
     509: 1
     511: 1
     516: 1
     517: 1
     519: 1
     520: 1
     522: 1
     523: q+1
     526: q+1
     538: 1
     544: 1
     545: 1
     550: 1
     552: 1
     553: 1
     554: 1
     555: 1
     557: 1
     559: q+1
     576: 1
     581: 1
     583: 1
     584: 1
     587: 1
     588: 1
     603: 1
     604: 1
     608: 1
     619: 1

620:   0: q^3+2q^2+2q+1
       1: q^2+2q+1
       2: q^3+2q^2+2q+1
       3: q^2+2q+1
       4: q^3+2q^2+2q+1
       5: q^2+2q+1
       6: q^5+2q+1
       7: q^2+2q+1
       8: q^3+2q^2+2q+1
       9: q+1
      10: q^5+2q+1
      11: q^2+2q+1
      12: q^5+2q+1
      13: q^4+2q^3+2q^2+2q+1
      14: q^6+q^5+q+1
      15: q+1
      16: q^5+2q+1
      17: q^6+q^5+q+1
      18: q^6+q^5+q+1
      19: q^5+1
      20: q^5+1
      21: q+1
      22: q^5+q+1
      23: q+1
      24: q^5+q+1
      25: q^5+1
      26: q^2+2q+1
      27: q^5+2q+1
      28: q^2+2q+1
      29: q^5+2q+1
      30: q^5+1
      31: q^2+2q+1
      32: 2q+1
      33: q^2+2q+1
      34: q^5+q+1
      35: q^5+1
      36: q^3+2q^2+2q+1
      37: q^3+2q^2+2q+1
      38: q^5+2q+1
      39: q^5+2q+1
      40: q^6+q^5+q+1
      41: q^2+2q+1
      42: 2q+1
      43: 2q+1
      44: q^3+2q^2+2q+1
      45: q+1
      46: q^3+2q^2+2q+1
      47: q^2+2q+1
      48: q^3+2q^2+2q+1
      49: q^2+2q+1
      50: q+1
      51: q^5+1
      52: q^5+q+1
      53: q^5+2q+1
      54: q+1
      55: 2q+1
      56: 2q+1
      57: q+1
      58: q^2+2q+1
      59: q^2+2q+1
      60: q^3+2q^2+2q+1
      61: q+1
      62: q^5+q+1
      63: q+1
      64: q^5+q+1
      65: q^5+1
      66: q^2+2q+1
      67: 2q+1
      68: q^2+2q+1
      69: q^5+q+1
      70: q^5+1
      71: q^2+2q+1
      72: q^2+2q+1
      73: 2q+1
      74: q^5+q+1
      75: q^5+1
      76: q^2+2q+1
      77: 2q+1
      78: q^3+2q^2+2q+1
      79: 2q+1
      80: q+1
      81: q^2+2q+1
      82: 2q+1
      83: q^3+2q^2+2q+1
      84: 2q+1
      85: q+1
      86: q^3+2q^2+2q+1
      87: q^2+2q+1
      88: q^3+2q^2+2q+1
      89: q^2+2q+1
      90: q+1
      91: q^5+1
      92: q+1
      93: q^5+q+1
      94: q^5+1
      95: 2q+1
      96: q+1
      97: 2q+1
      98: q+1
      99: 2q+1
     100: q^2+2q+1
     101: q+1
     102: q^2+2q+1
     103: q^2+2q+1
     104: q+1
     105: 2q+1
     106: 2q+1
     107: q+1
     108: q^2+2q+1
     109: q^2+2q+1
     110: q^3+2q^2+2q+1
     111: q+1
     112: q+1
     113: q+1
     114: 1
     115: 1
     116: q^2+2q+1
     117: q^2+2q+1
     118: 2q+1
     119: q^5+q+1
     120: q^5+1
     121: 2q+1
     122: 2q+1
     123: q^2+2q+1
     124: q+1
     125: 1
     126: q^2+2q+1
     127: 2q+1
     128: q^3+2q^2+2q+1
     129: 2q+1
     130: q+1
     131: q^2+2q+1
     132: 2q+1
     133: q^3+2q^2+2q+1
     134: 2q+1
     135: q+1
     136: 1
     137: 1
     138: q^5+1
     139: q+1
     140: 2q+1
     141: q+1
     142: q+1
     143: 1
     144: q+1
     145: 2q+1
     146: 2q+1
     147: q+1
     148: q^2+2q+1
     149: 2q+1
     150: q+1
     151: 2q+1
     152: q+1
     153: 2q+1
     154: q^2+2q+1
     155: q^2+2q+1
     156: q+1
     157: 2q+1
     158: 2q+1
     159: q+1
     160: q^2+2q+1
     161: q^2+2q+1
     162: q+1
     163: q+1
     164: q+1
     165: 1
     166: 1
     167: 2q+1
     168: 2q+1
     169: q^2+2q+1
     170: q+1
     171: 1
     172: 2q+1
     173: 2q+1
     174: q^2+2q+1
     175: q+1
     176: 1
     177: q^2+2q+1
     178: 2q+1
     179: q^3+2q^2+2q+1
     180: 2q+1
     181: q+1
     182: q^2+2q+1
     183: 2q+1
     184: q^3+2q^2+2q+1
     185: 2q+1
     186: q+1
     187: 1
     188: 1
     189: 1
     190: q+1
     191: q+1
     192: 1
     193: 1
     194: q+1
     195: 2q+1
     196: 2q+1
     197: 2q+1
     198: q+1
     199: 2q+1
     200: q+1
     201: 1
     202: 2q+1
     203: q+1
     204: q+1
     205: 2q+1
     206: q^2+2q+1
     207: q+1
     208: 2q+1
     209: 2q+1
     210: 2q+1
     211: 2q+1
     212: q+1
     213: 2q+1
     214: q^2+2q+1
     215: q+1
     216: 2q+1
     217: q+1
     218: q^2+2q+1
     219: q+1
     220: q+1
     221: q+1
     222: 1
     223: 1
     224: 2q+1
     225: 2q+1
     226: q^2+2q+1
     227: q+1
     228: 1
     229: q^2+2q+1
     230: 2q+1
     231: q^3+2q^2+2q+1
     232: 2q+1
     233: q+1
     234: 2q+1
     235: 2q+1
     236: q^2+2q+1
     237: q+1
     238: 1
     239: 1
     240: 1
     241: 1
     242: 1
     243: 1
     244: q+1
     245: q+1
     246: q+1
     247: 2q+1
     248: q+1
     249: q+1
     250: 1
     251: 1
     252: q+1
     253: 2q+1
     254: 2q+1
     255: 2q+1
     256: 2q+1
     257: 2q+1
     258: q+1
     259: 2q+1
     260: q^2+2q+1
     261: q+1
     262: 2q+1
     263: 2q+1
     264: 2q+1
     265: 2q+1
     266: q+1
     267: 1
     268: 2q+1
     269: q+1
     270: 2q+1
     271: q+1
     272: q+1
     273: q^2+2q+1
     274: q^2+2q+1
     275: q+1
     276: q^2+2q+1
     277: q+1
     278: q+1
     279: q+1
     280: q+1
     281: q+1
     282: 1
     283: 1
     284: 2q+1
     285: 2q+1
     286: q^2+2q+1
     287: q+1
     288: 1
     289: 2q+1
     290: 2q+1
     291: q^2+2q+1
     292: q+1
     293: 1
     294: 1
     295: 1
     296: 1
     297: q+1
     298: q+1
     299: q+1
     300: q+1
     301: q+1
     302: 1
     303: 1
     304: 1
     305: 1
     306: q+1
     307: q+1
     308: q+1
     309: 2q+1
     310: q^2+2q+1
     311: 2q+1
     312: 2q+1
     313: 2q+1
     314: q+1
     315: 1
     316: 2q+1
     317: q+1
     318: 2q+1
     319: q+1
     320: 2q+1
     321: q+1
     322: q+1
     323: q+1
     324: 1
     325: 1
     326: q+1
     327: 2q+1
     328: 2q+1
     329: 2q+1
     330: 2q+1
     331: q^2+2q+1
     332: q+1
     333: 1
     334: q+1
     335: 1
     336: 1
     337: 2q+1
     338: 2q+1
     339: q^2+2q+1
     340: q+1
     341: 1
     342: q+1
     343: q+1
     344: q+1
     345: 1
     346: 1
     347: 1
     348: 1
     349: q+1
     350: 1
     351: 1
     352: 1
     353: q+1
     354: 1
     355: 1
     356: 1
     357: q+1
     358: q+1
     359: q+1
     360: q+1
     361: 2q+1
     362: q+1
     363: q+1
     364: q+1
     365: 1
     366: 1
     367: q+1
     368: 2q+1
     369: 2q+1
     370: 2q+1
     371: q+1
     372: q+1
     373: 1
     374: 1
     375: 1
     376: 1
     377: q+1
     378: q+1
     379: q+1
     380: 2q+1
     381: 2q+1
     382: 2q+1
     383: q^2+2q+1
     384: 2q+1
     385: q+1
     386: 1
     387: q+1
     388: 1
     389: 1
     390: q+1
     391: 1
     392: q+1
     393: 1
     394: 1
     395: q+1
     396: q+1
     397: q+1
     398: 1
     399: 1
     400: 1
     401: 1
     402: 1
     403: 1
     404: 1
     405: q+1
     406: 1
     407: 1
     408: 1
     409: 1
     410: q+1
     411: 1
     412: 1
     413: q+1
     414: q+1
     415: 1
     416: q+1
     417: q+1
     418: 1
     419: 1
     420: 1
     421: 1
     422: q+1
     423: q+1
     424: q+1
     425: 2q+1
     426: 1
     427: 1
     428: 1
     429: 1
     430: q+1
     431: q+1
     432: q+1
     433: 2q+1
     434: q+1
     435: q+1
     436: 2q+1
     437: 2q+1
     438: q+1
     439: 1
     440: q+1
     441: 1
     442: 1
     448: 1
     449: 1
     450: 1
     451: 1
     452: 1
     453: 1
     454: 1
     458: 1
     459: q+1
     460: 1
     461: 1
     462: 1
     463: q+1
     465: 1
     466: 1
     467: 1
     468: 1
     469: 1
     470: q+1
     471: q+1
     472: q+1
     473: 1
     474: 1
     475: 1
     476: q+1
     477: 1
     478: q+1
     479: q+1
     480: q+1
     481: q+1
     482: 2q+1
     483: q+1
     496: 1
     500: 1
     502: 1
     503: 1
     508: 1
     509: 1
     510: 1
     511: 1
     513: 1
     514: 1
     515: 1
     516: q+1
     517: 1
     518: 1
     519: 1
     520: 1
     521: q+1
     522: 1
     523: q+1
     524: 1
     526: q+1
     527: q+1
     539: 1
     543: 1
     544: 1
     547: 1
     549: 1
     550: 1
     551: q+1
     552: 1
     553: 1
     554: 1
     555: 1
     556: 1
     557: 1
     561: 1
     562: 1
     577: 1
     581: 1
     582: 1
     583: 1
     584: 1
     586: 1
     587: 1
     590: 1
     593: 1
     602: 1
     603: 1
     605: 1
     609: 1
     620: 1

621:   0: q^4+3q^3+4q^2+3q+1
       1: q^3+3q^2+3q+1
       2: q^4+3q^3+4q^2+3q+1
       3: q^3+3q^2+3q+1
       4: q^4+3q^3+4q^2+3q+1
       5: q^2+2q+1
       6: q^6+q^5+2q^2+3q+1
       7: q^3+3q^2+3q+1
       8: q^4+3q^3+4q^2+3q+1
       9: q^2+2q+1
      10: q^5+2q+1
      11: q^2+2q+1
      12: q^6+q^5+2q^2+3q+1
      13: q^5+3q^4+4q^3+4q^2+3q+1
      14: q^5+2q+1
      15: q^2+2q+1
      16: q^5+2q+1
      17: q^5+2q+1
      18: q^6+q^5+q+1
      19: q^6+q^5+q+1
      21: q^2+2q+1
      22: q^5+2q+1
      23: q^2+2q+1
      24: q^5+2q+1
      25: q^6+q^5+q+1
      26: q^2+2q+1
      27: q^5+2q+1
      28: q^2+2q+1
      29: q^5+2q+1
      31: q^3+3q^2+3q+1
      32: 2q^2+3q+1
      33: q^3+3q^2+3q+1
      34: q^5+q+1
      35: q^5+q+1
      36: q^4+3q^3+4q^2+3q+1
      37: q^4+3q^3+4q^2+3q+1
      38: q^6+q^5+2q^2+3q+1
      39: q^5+2q+1
      40: q^5+2q+1
      41: q^3+3q^2+3q+1
      42: 2q^2+3q+1
      43: 2q+1
      44: q^4+3q^3+4q^2+3q+1
      45: 2q+1
      46: q^4+3q^3+4q^2+3q+1
      47: q^3+3q^2+3q+1
      48: q^4+3q^3+4q^2+3q+1
      49: q^2+2q+1
      50: q^2+2q+1
      51: q^5+q+1
      52: q^5+2q+1
      53: q^5+2q+1
      54: 2q+1
      55: 2q+1
      56: 2q^2+3q+1
      57: q^2+2q+1
      58: q^2+2q+1
      59: q^3+3q^2+3q+1
      60: q^4+3q^3+4q^2+3q+1
      61: q^2+2q+1
      62: q^5+2q+1
      63: q^2+2q+1
      64: q^5+2q+1
      66: q^2+2q+1
      67: 2q+1
      68: q^2+2q+1
      69: q^5+q+1
      71: q^3+3q^2+3q+1
      72: q^3+3q^2+3q+1
      73: 2q^2+3q+1
      74: q^5+q+1
      75: q^5+q+1
      76: q^3+3q^2+3q+1
      77: 2q^2+3q+1
      78: q^4+3q^3+4q^2+3q+1
      79: 2q+1
      80: 2q+1
      81: q^3+3q^2+3q+1
      82: 2q^2+3q+1
      83: q^4+3q^3+4q^2+3q+1
      84: 2q+1
      85: 2q+1
      86: q^4+3q^3+4q^2+3q+1
      87: q^3+3q^2+3q+1
      88: q^4+3q^3+4q^2+3q+1
      89: q^2+2q+1
      90: q^2+2q+1
      92: q+1
      93: q^5+2q+1
      94: q^5+q+1
      95: 2q^2+3q+1
      96: 2q+1
      97: 2q+1
      98: 2q+1
      99: 2q+1
     100: q^3+3q^2+3q+1
     101: q^2+2q+1
     102: q^2+2q+1
     103: q^3+3q^2+3q+1
     104: 2q+1
     105: 2q+1
     106: 2q^2+3q+1
     107: q^2+2q+1
     108: q^2+2q+1
     109: q^3+3q^2+3q+1
     110: q^4+3q^3+4q^2+3q+1
     111: q^2+2q+1
     112: 2q+1
     113: q^2+2q+1
     114: q^5+q+1
     116: q^2+2q+1
     117: q^2+2q+1
     118: 2q+1
     119: q^5+q+1
     121: 2q^2+3q+1
     122: 2q^2+3q+1
     123: q^3+3q^2+3q+1
     124: q+1
     125: q+1
     126: q^3+3q^2+3q+1
     127: 2q^2+3q+1
     128: q^4+3q^3+4q^2+3q+1
     129: 2q+1
     130: 2q+1
     131: q^3+3q^2+3q+1
     132: 2q^2+3q+1
     133: q^4+3q^3+4q^2+3q+1
     134: 2q+1
     135: 2q+1
     137: q+1
     139: q+1
     140: 2q+1
     141: 2q+1
     142: q+1
     143: q+1
     144: 2q+1
     145: 2q^2+3q+1
     146: 2q^2+3q+1
     147: q^2+2q+1
     148: q^2+2q+1
     149: 2q^2+3q+1
     150: 2q+1
     151: 2q+1
     152: 2q+1
     153: 2q+1
     154: q^3+3q^2+3q+1
     155: q^3+3q^2+3q+1
     156: 2q+1
     157: 2q+1
     158: 2q^2+3q+1
     159: q^2+2q+1
     160: q^2+2q+1
     161: q^3+3q^2+3q+1
     162: q^2+2q+1
     163: q^2+2q+1
     164: 2q+1
     165: q^5+q+1
     167: 2q+1
     168: 2q+1
     169: q^2+2q+1
     170: q+1
     172: 2q^2+3q+1
     173: 2q^2+3q+1
     174: q^3+3q^2+3q+1
     175: q+1
     176: q+1
     177: q^3+3q^2+3q+1
     178: 2q^2+3q+1
     179: q^4+3q^3+4q^2+3q+1
     180: 2q+1
     181: 2q+1
     182: q^3+3q^2+3q+1
     183: 2q^2+3q+1
     184: q^4+3q^3+4q^2+3q+1
     185: 2q+1
     186: 2q+1
     189: q+1
     190: 2q+1
     191: q+1
     192: q+1
     194: q+1
     195: 2q+1
     196: 2q+1
     197: 2q^2+3q+1
     198: q^2+2q+1
     199: 2q+1
     200: q+1
     201: q+1
     202: 2q^2+3q+1
     203: 2q+1
     204: 2q+1
     205: 2q^2+3q+1
     206: q^3+3q^2+3q+1
     207: 2q+1
     208: 2q+1
     209: 2q^2+3q+1
     210: 2q^2+3q+1
     211: 2q^2+3q+1
     212: 2q+1
     213: 2q+1
     214: q^3+3q^2+3q+1
     215: 2q+1
     216: 2q+1
     217: q^2+2q+1
     218: q^2+2q+1
     219: 2q+1
     220: 2q+1
     221: q^2+2q+1
     222: q+1
     224: 2q+1
     225: 2q+1
     226: q^2+2q+1
     227: q+1
     229: q^3+3q^2+3q+1
     230: 2q^2+3q+1
     231: q^4+3q^3+4q^2+3q+1
     232: 2q+1
     233: 2q+1
     234: 2q^2+3q+1
     235: 2q^2+3q+1
     236: q^3+3q^2+3q+1
     237: q+1
     238: q+1
     240: q+1
     243: q+1
     244: 2q+1
     245: q+1
     246: 2q+1
     247: 2q+1
     248: q+1
     249: 2q+1
     250: q+1
     252: q+1
     253: 2q+1
     254: 2q+1
     255: 2q^2+3q+1
     256: 2q^2+3q+1
     257: 2q^2+3q+1
     258: 2q+1
     259: 2q+1
     260: q^3+3q^2+3q+1
     261: 2q+1
     262: 2q+1
     263: 2q^2+3q+1
     264: 2q+1
     265: 2q+1
     266: q+1
     267: q+1
     268: 2q^2+3q+1
     269: 2q+1
     270: 2q^2+3q+1
     271: 2q+1
     272: q^2+2q+1
     273: q^3+3q^2+3q+1
     274: q^3+3q^2+3q+1
     275: q^2+2q+1
     276: q^3+3q^2+3q+1
     277: q+1
     278: q+1
     279: 2q+1
     280: 2q+1
     281: q^2+2q+1
     282: q+1
     284: 2q^2+3q+1
     285: 2q^2+3q+1
     286: q^3+3q^2+3q+1
     287: q+1
     288: q+1
     289: 2q+1
     290: 2q+1
     291: q^2+2q+1
     292: q+1
     296: q+1
     297: q+1
     298: 2q+1
     299: q^2+2q+1
     300: q+1
     301: q+1
     302: q+1
     305: q+1
     306: 2q+1
     307: q+1
     308: 2q+1
     309: 2q+1
     310: q^3+3q^2+3q+1
     311: 2q^2+3q+1
     312: 2q+1
     313: 2q+1
     314: q+1
     315: q+1
     316: 2q^2+3q+1
     317: 2q+1
     318: 2q^2+3q+1
     319: 2q+1
     320: 2q+1
     321: 2q+1
     322: q+1
     323: 2q+1
     324: q+1
     326: q+1
     327: 2q+1
     328: 2q+1
     329: 2q^2+3q+1
     330: 2q^2+3q+1
     331: q^3+3q^2+3q+1
     332: q^2+2q+1
     333: q+1
     334: q^2+2q+1
     335: 1
     336: 1
     337: 2q+1
     338: 2q+1
     339: q^2+2q+1
     340: q+1
     342: 2q+1
     343: 2q+1
     344: q^2+2q+1
     345: q+1
     348: q+1
     349: q+1
     350: 1
     351: 1
     352: q+1
     353: q+1
     356: q+1
     357: q+1
     358: 2q+1
     359: q^2+2q+1
     360: q^2+2q+1
     361: 2q+1
     362: 2q+1
     363: q+1
     364: 2q+1
     365: q+1
     367: q+1
     368: 2q+1
     369: 2q+1
     370: 2q^2+3q+1
     371: q+1
     372: 2q+1
     373: q+1
     376: q+1
     377: 2q+1
     378: q+1
     379: 2q+1
     380: 2q+1
     381: 2q^2+3q+1
     382: 2q+1
     383: q^3+3q^2+3q+1
     384: 2q^2+3q+1
     385: q^2+2q+1
     386: q+1
     387: q^2+2q+1
     388: 1
     389: 1
     390: q+1
     391: 1
     392: q+1
     393: 1
     395: 2q+1
     396: 2q+1
     397: q^2+2q+1
     398: q+1
     400: 1
     401: 1
     402: q+1
     404: 1
     405: q+1
     406: 1
     408: 1
     409: 1
     410: q^2+2q+1
     412: q+1
     413: q+1
     414: q+1
     415: q+1
     416: q+1
     417: 2q+1
     418: q+1
     421: q+1
     422: 2q+1
     423: q+1
     424: 2q+1
     425: 2q+1
     426: q+1
     429: q+1
     430: q+1
     431: 2q+1
     432: q^2+2q+1
     433: 2q+1
     434: 2q+1
     435: q^2+2q+1
     436: 2q^2+3q+1
     437: 2q+1
     438: q+1
     439: 1
     440: q+1
     441: 1
     443: q+1
     444: 1
     445: q+1
     446: 1
     448: 1
     450: 1
     451: 1
     452: 1
     453: 1
     456: 1
     457: 1
     458: 1
     459: q+1
     461: q+1
     462: 1
     463: q+1
     464: q+1
     465: 1
     466: q+1
     469: q+1
     470: q+1
     471: 2q+1
     472: q^2+2q+1
     475: q+1
     476: q+1
     477: q+1
     478: q^2+2q+1
     479: q+1
     480: 2q+1
     481: q+1
     482: 2q+1
     483: 2q+1
     489: q+1
     490: 1
     491: q+1
     492: 1
     498: 1
     500: 1
     501: 1
     502: 1
     505: 1
     507: q+1
     508: 1
     509: 1
     510: 1
     511: 1
     512: 1
     515: q+1
     516: q+1
     517: q+1
     519: q+1
     520: 1
     521: q+1
     522: 1
     523: q+1
     524: q+1
     525: q+1
     526: q+1
     527: 2q+1
     540: 1
     543: 1
     544: 1
     546: 1
     548: 1
     550: 1
     551: q+1
     552: q+1
     553: 1
     554: 1
     555: 1
     556: 1
     557: 1
     558: 1
     560: q+1
     562: q+1
     578: 1
     581: 1
     582: 1
     583: 1
     584: 1
     585: 1
     586: 1
     587: 1
     589: 1
     591: 1
     602: 1
     603: 1
     606: 1
     607: 1
     610: 1
     621: 1

622:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^3+2q^2+2q+1
       3: q^2+2q+1
       4: q^2+2q+1
       5: q+1
       6: q^2+2q+1
       7: q^2+2q+1
       8: q^3+2q^2+2q+1
       9: q+1
      10: q+1
      11: q+1
      12: q+1
      13: q^3+2q^2+2q+1
      14: q+1
      15: q+1
      16: 1
      17: 1
      18: 1
      19: 1
      21: q+1
      22: q+1
      23: q+1
      24: 1
      25: 1
      26: q+1
      27: q+1
      28: q+1
      29: 1
      31: q^2+2q+1
      32: q^2+2q+1
      33: q^2+2q+1
      34: 1
      35: 1
      36: q^2+2q+1
      37: q^2+2q+1
      38: q+1
      39: 1
      40: 1
      41: q^2+2q+1
      42: q^2+2q+1
      43: q+1
      44: q^3+2q^2+2q+1
      45: q+1
      46: q^2+2q+1
      47: q^2+2q+1
      48: q^3+2q^2+2q+1
      49: q+1
      50: q+1
      51: 1
      52: 1
      53: 1
      54: q+1
      55: q+1
      56: q^2+2q+1
      57: q+1
      58: q+1
      59: q^2+2q+1
      60: q^2+2q+1
      61: q+1
      62: q+1
      63: q+1
      64: 1
      66: q+1
      67: q+1
      68: q+1
      69: 1
      71: q^2+2q+1
      72: q^2+2q+1
      73: q+1
      74: 1
      75: 1
      76: q^2+2q+1
      77: q+1
      78: q^2+2q+1
      79: 1
      80: 1
      81: q^2+2q+1
      82: q^2+2q+1
      83: q^3+2q^2+2q+1
      84: q+1
      85: q+1
      86: q^2+2q+1
      87: q^2+2q+1
      88: q^3+2q^2+2q+1
      89: q+1
      90: q+1
      92: 1
      93: 1
      94: 1
      95: q+1
      96: q+1
      97: q+1
      98: 1
      99: 1
     100: q^2+2q+1
     101: q+1
     102: q+1
     103: q^2+2q+1
     104: q+1
     105: q+1
     106: q^2+2q+1
     107: q+1
     108: q+1
     109: q^2+2q+1
     110: q^2+2q+1
     111: q+1
     112: q+1
     113: q+1
     114: 1
     116: q+1
     117: q+1
     118: 1
     119: 1
     121: q^2+2q+1
     122: q+1
     123: q^2+2q+1
     124: 1
     125: 1
     126: q^2+2q+1
     127: q+1
     128: q^2+2q+1
     129: 1
     130: 1
     131: q^2+2q+1
     132: q^2+2q+1
     133: q^3+2q^2+2q+1
     134: q+1
     135: q+1
     137: 1
     139: 1
     140: 1
     141: q+1
     142: 1
     143: 1
     144: 1
     145: q+1
     146: q^2+2q+1
     147: q+1
     148: q+1
     149: q+1
     150: 1
     151: 1
     152: q+1
     153: q+1
     154: q^2+2q+1
     155: q^2+2q+1
     156: q+1
     157: q+1
     158: q^2+2q+1
     159: q+1
     160: q+1
     161: q^2+2q+1
     162: q+1
     163: q+1
     164: 1
     165: 1
     167: q+1
     168: 1
     169: q+1
     170: 1
     172: q^2+2q+1
     173: q+1
     174: q^2+2q+1
     175: 1
     176: 1
     177: q^2+2q+1
     178: q^2+2q+1
     179: q^3+2q^2+2q+1
     180: q+1
     181: q+1
     182: q^2+2q+1
     183: q+1
     184: q^2+2q+1
     185: 1
     186: 1
     189: 1
     190: 1
     191: 1
     192: 1
     194: 1
     195: 1
     196: q+1
     197: q+1
     198: q+1
     199: 1
     200: 1
     201: 1
     202: q+1
     203: 1
     204: q+1
     205: q^2+2q+1
     206: q^2+2q+1
     207: q+1
     208: q+1
     209: q^2+2q+1
     210: q^2+2q+1
     211: q+1
     212: 1
     213: 1
     214: q^2+2q+1
     215: q+1
     216: q+1
     217: q+1
     218: q+1
     219: q+1
     220: 1
     221: q+1
     222: 1
     224: q+1
     225: 1
     226: q+1
     227: 1
     229: q^2+2q+1
     230: q+1
     231: q^2+2q+1
     232: 1
     233: 1
     234: q^2+2q+1
     235: q+1
     236: q^2+2q+1
     237: 1
     238: 1
     240: 1
     243: 1
     244: 1
     245: 1
     246: q+1
     247: 1
     248: 1
     249: 1
     250: 1
     252: 1
     253: 1
     254: q+1
     255: q+1
     256: q^2+2q+1
     257: q+1
     258: 1
     259: 1
     260: q^2+2q+1
     261: q+1
     262: q+1
     263: q+1
     264: q+1
     265: 1
     266: 1
     267: 1
     268: q+1
     269: 1
     270: q^2+2q+1
     271: q+1
     272: q+1
     273: q^2+2q+1
     274: q^2+2q+1
     275: q+1
     276: q^2+2q+1
     277: 1
     278: 1
     279: q+1
     280: 1
     281: q+1
     282: 1
     284: q^2+2q+1
     285: q+1
     286: q^2+2q+1
     287: 1
     288: 1
     289: q+1
     290: 1
     291: q+1
     292: 1
     296: 1
     297: 1
     298: 1
     299: q+1
     300: 1
     301: 1
     302: 1
     305: 1
     306: 1
     307: 1
     308: q+1
     309: 1
     310: q^2+2q+1
     311: q+1
     312: q+1
     313: 1
     314: 1
     315: 1
     316: q+1
     317: 1
     318: q^2+2q+1
     319: q+1
     320: 1
     321: q+1
     322: 1
     323: 1
     324: 1
     326: 1
     327: 1
     328: q+1
     329: q+1
     330: q^2+2q+1
     331: q^2+2q+1
     332: q^2+2q+1
     333: q+1
     334: q^2+2q+1
     335: 1
     336: 1
     337: q+1
     338: 1
     339: q+1
     340: 1
     342: q+1
     343: 1
     344: q+1
     345: 1
     348: 1
     349: 1
     350: 1
     351: 1
     352: q+1
     353: 1
     356: 1
     357: 1
     358: 1
     359: q+1
     360: q^2+2q+1
     361: 1
     362: q+1
     363: 1
     364: 1
     365: 1
     367: 1
     368: 1
     369: q+1
     370: q+1
     371: 1
     372: 1
     373: 1
     376: 1
     377: 1
     378: 1
     379: q+1
     380: 1
     381: q+1
     382: q+1
     383: q^2+2q+1
     384: q^2+2q+1
     385: q+1
     386: q+1
     387: q+1
     390: q+1
     391: 1
     392: q+1
     393: 1
     395: q+1
     396: 1
     397: q+1
     398: 1
     402: q+1
     404: 1
     405: 1
     406: 1
     408: 1
     409: 1
     410: q+1
     412: 1
     413: 1
     414: q+1
     415: q+1
     416: 1
     417: 1
     418: 1
     421: 1
     422: 1
     423: 1
     424: q+1
     425: 1
     426: 1
     429: 1
     430: 1
     431: 1
     432: q+1
     433: 1
     434: q+1
     435: q^2+2q+1
     436: q+1
     437: q+1
     438: 1
     439: 1
     440: 1
     443: q+1
     444: 1
     445: q+1
     446: 1
     452: 1
     453: 1
     456: 1
     457: 1
     458: 1
     459: 1
     461: q+1
     462: 1
     463: 1
     464: q+1
     465: 1
     466: 1
     469: 1
     470: 1
     471: 1
     472: q+1
     475: 1
     476: 1
     477: q+1
     478: q+1
     479: 1
     480: 1
     481: q+1
     482: 1
     483: q+1
     484: 1
     485: 1
     486: 1
     489: 1
     490: 1
     491: 1
     499: 1
     501: 1
     505: 1
     506: 1
     507: 1
     509: 1
     510: 1
     511: 1
     512: 1
     515: 1
     516: 1
     517: q+1
     519: q+1
     520: 1
     521: 1
     522: 1
     523: 1
     524: 1
     525: q+1
     526: 1
     527: 1
     528: 1
     529: 1
     530: 1
     537: 1
     542: 1
     545: 1
     546: 1
     548: 1
     550: 1
     551: 1
     552: q+1
     553: 1
     555: 1
     556: 1
     557: 1
     558: 1
     559: 1
     560: 1
     562: 1
     579: 1
     582: 1
     583: 1
     584: 1
     585: 1
     588: 1
     589: 1
     591: 1
     592: 1
     604: 1
     606: 1
     607: 1
     611: 1
     622: 1

623:   0: q+1
       1: q+1
       2: q^3+q^2+q+1
       3: q+1
       4: q+1
       5: q+1
       6: q+1
       7: q+1
       8: q^3+q^2+q+1
       9: q+1
      10: q+1
      11: q+1
      12: q^5+1
      13: q^3+q^2+q+1
      14: q+1
      15: q+1
      16: q^5+1
      17: q^5+1
      18: q^5+1
      19: q^5+1
      20: q^5+1
      21: q+1
      22: q+1
      23: q+1
      24: q^5+1
      25: q^5+1
      26: q+1
      27: q+1
      28: q+1
      29: q^5+1
      30: q^5+1
      31: q+1
      32: q+1
      33: q+1
      34: q^5+1
      35: q^5+1
      36: q+1
      37: q+1
      38: 1
      39: 1
      40: 1
      41: q+1
      42: q+1
      43: q+1
      44: q^3+q^2+q+1
      45: q+1
      46: q+1
      47: q+1
      48: q^3+q^2+q+1
      49: q+1
      50: q+1
      51: q^5+1
      52: 1
      53: 1
      54: q+1
      55: q+1
      56: q+1
      57: q+1
      58: q+1
      59: q+1
      60: q+1
      61: q+1
      62: q+1
      63: q+1
      64: q^5+1
      65: q^5+1
      66: q+1
      67: q+1
      68: q+1
      69: q^5+1
      70: q^5+1
      71: q+1
      72: q+1
      73: 1
      74: 1
      75: 1
      76: q+1
      77: 1
      78: q+1
      79: 1
      80: 1
      81: q+1
      82: q+1
      83: q^3+q^2+q+1
      84: q+1
      85: q+1
      86: q+1
      87: q+1
      88: q^3+q^2+q+1
      89: q+1
      90: q+1
      91: q^5+1
      92: 1
      93: 1
      94: 1
      95: 1
      96: q+1
      97: q+1
      98: 1
      99: 1
     100: q+1
     101: q+1
     102: q+1
     103: q+1
     104: q+1
     105: q+1
     106: q+1
     107: q+1
     108: q+1
     109: q+1
     110: q+1
     111: q+1
     112: q+1
     113: q+1
     114: q^5+1
     115: q^5+1
     116: q+1
     117: q+1
     118: 1
     119: 1
     120: 1
     121: q+1
     122: 1
     123: q+1
     124: 1
     125: 1
     126: q+1
     127: 1
     128: q+1
     129: 1
     130: 1
     131: q+1
     132: q+1
     133: q^3+q^2+q+1
     134: q+1
     135: q+1
     136: q^5+1
     137: 1
     138: 1
     139: 1
     140: 1
     141: q+1
     142: 1
     143: 1
     144: 1
     145: 1
     146: q+1
     147: q+1
     148: q+1
     149: 1
     150: 1
     151: 1
     152: q+1
     153: q+1
     154: q+1
     155: q+1
     156: q+1
     157: q+1
     158: q+1
     159: q+1
     160: q+1
     161: q+1
     162: q+1
     163: q+1
     164: 1
     165: 1
     166: 1
     167: q+1
     168: 1
     169: q+1
     170: 1
     171: 1
     172: q+1
     173: 1
     174: q+1
     175: 1
     176: 1
     177: q+1
     178: q+1
     179: q^3+q^2+q+1
     180: q+1
     181: q+1
     182: q+1
     183: 1
     184: q+1
     185: 1
     186: 1
     187: 1
     188: 1
     189: 1
     190: 1
     191: 1
     192: 1
     193: 1
     194: 1
     195: 1
     196: q+1
     197: 1
     198: q+1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: q+1
     205: q+1
     206: q+1
     207: q+1
     208: q+1
     209: q+1
     210: q+1
     211: 1
     212: 1
     213: 1
     214: q+1
     215: q+1
     216: q+1
     217: q+1
     218: q+1
     219: q+1
     220: 1
     221: q+1
     222: 1
     223: 1
     224: q+1
     225: 1
     226: q+1
     227: 1
     228: 1
     229: q+1
     230: 1
     231: q+1
     232: 1
     233: 1
     234: q+1
     235: 1
     236: q+1
     237: 1
     238: 1
     239: 1
     240: 1
     241: 1
     242: 1
     243: 1
     244: 1
     245: 1
     246: q+1
     247: 1
     248: 1
     249: 1
     250: 1
     251: 1
     252: 1
     253: 1
     254: q+1
     255: 1
     256: q+1
     257: 1
     258: 1
     259: 1
     260: q+1
     261: q+1
     262: q+1
     263: 1
     264: q+1
     265: 1
     266: 1
     267: 1
     268: 1
     269: 1
     270: q+1
     271: q+1
     272: q+1
     273: q+1
     274: q+1
     275: 1
     276: q+1
     277: 1
     278: 1
     279: q+1
     280: 1
     281: q+1
     282: 1
     283: 1
     284: q+1
     285: 1
     286: q+1
     287: 1
     288: 1
     289: q+1
     290: 1
     291: q+1
     292: 1
     293: 1
     294: 1
     295: 1
     296: 1
     297: 1
     298: 1
     299: 1
     300: 1
     301: 1
     302: 1
     303: 1
     304: 1
     305: 1
     306: 1
     307: 1
     308: q+1
     309: 1
     310: q+1
     311: 1
     312: q+1
     313: 1
     314: 1
     315: 1
     316: 1
     317: 1
     318: q+1
     319: q+1
     320: 1
     321: q+1
     322: 1
     323: 1
     324: 1
     325: 1
     326: 1
     327: 1
     328: q+1
     329: 1
     330: q+1
     331: q+1
     332: q+1
     333: 1
     334: q+1
     335: 1
     336: 1
     337: q+1
     338: 1
     339: q+1
     340: 1
     341: 1
     342: q+1
     343: 1
     344: q+1
     345: 1
     346: 1
     347: 1
     348: 1
     349: 1
     350: 1
     351: 1
     352: 1
     353: 1
     354: 1
     355: 1
     356: 1
     357: 1
     358: 1
     359: 1
     360: q+1
     361: 1
     362: q+1
     363: 1
     364: 1
     365: 1
     366: 1
     367: 1
     368: 1
     369: q+1
     370: 1
     371: 1
     372: 1
     373: 1
     374: 1
     375: 1
     376: 1
     377: 1
     378: 1
     379: q+1
     380: 1
     381: 1
     382: q+1
     383: q+1
     384: q+1
     390: q+1
     391: 1
     392: q+1
     393: 1
     394: 1
     395: q+1
     396: 1
     397: q+1
     398: 1
     399: 1
     403: 1
     404: 1
     405: 1
     406: 1
     407: 1
     408: 1
     409: 1
     411: 1
     412: 1
     413: 1
     414: q+1
     415: 1
     416: 1
     417: 1
     418: 1
     419: 1
     420: 1
     421: 1
     422: 1
     423: 1
     424: q+1
     425: 1
     426: 1
     427: 1
     428: 1
     429: 1
     430: 1
     431: 1
     432: 1
     433: 1
     434: q+1
     435: q+1
     436: 1
     437: q+1
     443: q+1
     444: 1
     445: q+1
     446: 1
     447: 1
     453: 1
     454: 1
     455: 1
     456: 1
     457: 1
     458: 1
     460: 1
     462: 1
     463: 1
     464: q+1
     465: 1
     466: 1
     467: 1
     468: 1
     469: 1
     470: 1
     471: 1
     472: 1
     473: 1
     474: 1
     475: 1
     476: 1
     477: 1
     479: 1
     480: 1
     481: q+1
     482: 1
     483: q+1
     503: 1
     504: 1
     505: 1
     510: 1
     511: 1
     512: 1
     513: 1
     514: 1
     515: 1
     516: 1
     517: 1
     518: 1
     520: 1
     521: 1
     522: 1
     524: 1
     525: q+1
     526: 1
     527: 1
     541: 1
     547: 1
     548: 1
     549: 1
     550: 1
     551: 1
     553: 1
     556: 1
     557: 1
     558: 1
     561: 1
     562: 1
     580: 1
     582: 1
     584: 1
     585: 1
     590: 1
     591: 1
     593: 1
     605: 1
     607: 1
     612: 1
     623: 1

624:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q^2+q+1
       5: q+1
       6: q+1
       7: q^2+q+1
       8: q^2+q+1
       9: q^5+1
      10: q+1
      11: q^2+q+1
      12: q+1
      13: q^2+q+1
      14: q^5+1
      15: 1
      16: q+1
      17: q^5+1
      18: q+1
      19: q^5+1
      20: q^5+1
      21: 1
      22: 1
      23: 1
      24: 1
      25: 1
      26: q+1
      27: q+1
      28: q^2+q+1
      29: q+1
      30: q^5+1
      31: q+1
      32: q+1
      33: q^2+q+1
      34: q+1
      35: q^5+1
      36: q+1
      37: q^2+q+1
      38: q+1
      39: q+1
      40: q^5+1
      41: q+1
      42: q+1
      43: q+1
      44: q^2+q+1
      45: q^5+1
      46: q+1
      47: q+1
      48: q+1
      49: q+1
      50: 1
      51: 1
      52: 1
      53: q+1
      54: 1
      55: q+1
      56: q+1
      57: 1
      58: q+1
      59: q+1
      60: q+1
      61: 1
      62: 1
      63: 1
      64: 1
      65: 1
      66: q+1
      67: q+1
      68: q^2+q+1
      69: q+1
      70: q^5+1
      71: q+1
      72: q^2+q+1
      73: q+1
      74: q+1
      75: q^5+1
      76: q+1
      77: q+1
      78: q^2+q+1
      79: q+1
      80: q^5+1
      81: q+1
      82: q+1
      83: q+1
      84: q+1
      85: 1
      86: q+1
      87: q+1
      88: q+1
      89: q+1
      90: 1
      91: 1
      92: q+1
      93: 1
      94: 1
      95: q+1
      96: 1
      97: q+1
      98: 1
      99: q+1
     100: q+1
     101: 1
     102: q+1
     103: q+1
     104: 1
     105: q+1
     106: q+1
     107: 1
     108: q+1
     109: q+1
     110: q+1
     111: 1
     112: 1
     113: 1
     114: 1
     115: 1
     116: q+1
     117: q^2+q+1
     118: q+1
     119: q+1
     120: q^5+1
     121: q+1
     122: q+1
     123: q^2+q+1
     124: q+1
     125: q^5+1
     126: q+1
     127: q+1
     128: q+1
     129: q+1
     130: 1
     131: q+1
     132: q+1
     133: q+1
     134: q+1
     135: 1
     136: 1
     137: 1
     138: 1
     139: q+1
     140: q+1
     141: 1
     142: q+1
     143: 1
     144: 1
     145: q+1
     146: q+1
     147: 1
     148: q+1
     149: q+1
     150: 1
     151: q+1
     152: 1
     153: q+1
     154: q+1
     155: q+1
     156: 1
     157: q+1
     158: q+1
     159: 1
     160: q+1
     161: q+1
     162: 1
     163: 1
     164: 1
     165: 1
     166: 1
     167: q+1
     168: q+1
     169: q^2+q+1
     170: q+1
     171: q^5+1
     172: q+1
     173: q+1
     174: q+1
     175: q+1
     176: 1
     177: 1
     178: 1
     179: q+1
     180: 1
     181: 1
     182: q+1
     183: q+1
     184: q+1
     185: q+1
     186: 1
     187: 1
     188: 1
     189: 1
     190: 1
     191: q+1
     192: 1
     193: 1
     194: q+1
     195: q+1
     196: q+1
     197: q+1
     198: 1
     199: q+1
     200: q+1
     201: 1
     202: q+1
     203: 1
     204: 1
     205: q+1
     206: 1
     207: 1
     208: 1
     209: 1
     210: q+1
     211: q+1
     212: 1
     213: q+1
     214: q+1
     215: 1
     216: q+1
     217: 1
     218: q+1
     219: 1
     220: 1
     221: 1
     222: 1
     223: 1
     224: q+1
     225: q+1
     226: q+1
     227: q+1
     228: 1
     229: 1
     230: 1
     231: q+1
     232: 1
     233: 1
     234: q+1
     235: q+1
     236: q+1
     237: q+1
     238: 1
     239: 1
     240: 1
     241: 1
     242: 1
     243: 1
     244: 1
     245: q+1
     246: 1
     247: q+1
     248: q+1
     249: 1
     250: 1
     251: 1
     252: q+1
     253: q+1
     254: q+1
     255: q+1
     256: 1
     257: 1
     258: 1
     259: 1
     260: 1
     261: 1
     262: 1
     263: q+1
     264: q+1
     265: q+1
     266: q+1
     267: 1
     268: q+1
     269: 1
     270: q+1
     271: 1
     272: 1
     273: 1
     274: 1
     275: 1
     276: q+1
     277: 1
     278: 1
     279: 1
     280: 1
     281: 1
     282: 1
     283: 1
     284: 1
     285: 1
     286: q+1
     287: 1
     288: 1
     289: q+1
     290: q+1
     291: q+1
     292: q+1
     293: 1
     294: 1
     295: 1
     296: 1
     297: q+1
     298: 1
     299: 1
     300: 1
     301: 1
     302: 1
     303: 1
     304: 1
     305: 1
     306: 1
     307: q+1
     308: 1
     309: q+1
     310: 1
     311: 1
     312: 1
     313: 1
     314: 1
     315: 1
     316: 1
     317: 1
     318: 1
     319: 1
     320: q+1
     321: 1
     322: q+1
     323: 1
     324: 1
     325: 1
     326: q+1
     327: q+1
     328: q+1
     329: q+1
     330: 1
     331: 1
     332: 1
     333: 1
     334: q+1
     335: 1
     336: 1
     337: 1
     338: 1
     339: q+1
     340: 1
     341: 1
     342: 1
     343: 1
     344: 1
     345: 1
     346: 1
     347: 1
     348: 1
     349: 1
     350: 1
     351: 1
     352: 1
     353: 1
     354: 1
     355: 1
     356: 1
     357: q+1
     358: 1
     359: 1
     360: 1
     361: 1
     362: 1
     363: 1
     364: 1
     365: 1
     366: 1
     367: 1
     368: 1
     369: 1
     370: 1
     371: q+1
     372: 1
     373: 1
     374: 1
     375: 1
     376: 1
     377: 1
     378: q+1
     379: 1
     380: q+1
     381: 1
     382: 1
     383: 1
     384: 1
     385: 1
     386: 1
     387: q+1
     388: 1
     389: 1
     390: 1
     391: 1
     392: q+1
     393: 1
     394: 1
     400: 1
     401: 1
     402: 1
     403: 1
     404: 1
     405: 1
     406: 1
     407: 1
     408: 1
     409: 1
     410: 1
     411: 1
     412: 1
     413: 1
     414: 1
     415: 1
     416: 1
     417: 1
     418: 1
     419: 1
     423: 1
     425: 1
     426: 1
     427: 1
     428: 1
     429: 1
     430: q+1
     431: 1
     432: 1
     433: 1
     434: 1
     435: 1
     436: 1
     437: 1
     438: 1
     439: 1
     440: q+1
     441: 1
     442: 1
     448: 1
     449: 1
     450: 1
     451: 1
     452: 1
     453: 1
     454: 1
     458: 1
     459: 1
     460: 1
     461: 1
     462: 1
     463: 1
     465: 1
     466: 1
     467: 1
     470: 1
     473: 1
     474: 1
     475: 1
     476: 1
     477: 1
     478: 1
     479: 1
     480: 1
     481: 1
     482: 1
     484: 1
     485: 1
     486: q+1
     487: 1
     488: 1
     494: 1
     495: 1
     496: 1
     499: 1
     500: 1
     502: 1
     503: 1
     506: 1
     508: 1
     509: 1
     510: 1
     511: 1
     513: 1
     518: 1
     519: 1
     520: 1
     521: 1
     522: 1
     523: 1
     524: 1
     526: 1
     534: 1
     538: 1
     539: 1
     543: 1
     544: 1
     545: 1
     547: 1
     554: 1
     555: 1
     556: 1
     557: 1
     559: 1
     561: 1
     572: 1
     576: 1
     577: 1
     586: 1
     587: 1
     588: 1
     590: 1
     598: 1
     608: 1
     609: 1
     624: 1

625:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^3+2q^2+2q+1
       5: q+1
       6: q^2+2q+1
       7: q^3+2q^2+2q+1
       8: q^3+2q^2+2q+1
       9: q+1
      10: q+1
      11: q^2+q+1
      12: q^2+2q+1
      13: q^3+2q^2+2q+1
      14: q+1
      15: q^2+q+1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      21: q+1
      22: q+1
      23: q^2+q+1
      24: q+1
      25: q+1
      26: q+1
      27: q+1
      28: q^2+q+1
      29: q+1
      31: q^2+2q+1
      32: q^2+2q+1
      33: q^3+2q^2+2q+1
      34: q+1
      35: q+1
      36: q^2+2q+1
      37: q^3+2q^2+2q+1
      38: q^2+2q+1
      39: q+1
      40: q+1
      41: q^2+2q+1
      42: q^2+2q+1
      43: q+1
      44: q^3+2q^2+2q+1
      45: q+1
      46: q^2+2q+1
      47: q^2+2q+1
      48: q^2+2q+1
      49: q+1
      50: q+1
      51: q+1
      52: q+1
      53: q+1
      54: q+1
      55: q+1
      56: q^2+2q+1
      57: q+1
      58: q+1
      59: q^2+2q+1
      60: q^2+2q+1
      61: q+1
      62: q+1
      63: q^2+q+1
      64: q+1
      66: q+1
      67: q+1
      68: q^2+q+1
      69: q+1
      71: q^2+2q+1
      72: q^3+2q^2+2q+1
      73: q^2+2q+1
      74: q+1
      75: q+1
      76: q^2+2q+1
      77: q^2+2q+1
      78: q^3+2q^2+2q+1
      79: q+1
      80: q+1
      81: q^2+2q+1
      82: q^2+2q+1
      83: q^2+2q+1
      84: q+1
      85: q+1
      86: q^2+2q+1
      87: q^2+2q+1
      88: q^2+2q+1
      89: q+1
      90: q+1
      92: q+1
      93: q+1
      94: q+1
      95: q^2+2q+1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     100: q^2+2q+1
     101: q+1
     102: q+1
     103: q^2+2q+1
     104: q+1
     105: q+1
     106: q^2+2q+1
     107: q+1
     108: q+1
     109: q^2+2q+1
     110: q^2+2q+1
     111: q+1
     112: q+1
     113: q^2+q+1
     114: q+1
     116: q+1
     117: q^2+q+1
     118: q+1
     119: q+1
     121: q^2+2q+1
     122: q^2+2q+1
     123: q^3+2q^2+2q+1
     124: q+1
     125: q+1
     126: q^2+2q+1
     127: q^2+2q+1
     128: q^2+2q+1
     129: q+1
     130: q+1
     131: q^2+2q+1
     132: q^2+2q+1
     133: q^2+2q+1
     134: q+1
     135: q+1
     137: q+1
     139: q+1
     140: q+1
     141: q+1
     142: q+1
     143: q+1
     144: q+1
     145: q^2+2q+1
     146: q^2+2q+1
     147: q+1
     148: q+1
     149: q^2+2q+1
     150: q+1
     151: q+1
     152: q+1
     153: q+1
     154: q^2+2q+1
     155: q^2+2q+1
     156: q+1
     157: q+1
     158: q^2+2q+1
     159: q+1
     160: q+1
     161: q^2+2q+1
     162: q+1
     163: q^2+q+1
     164: q+1
     165: q+1
     167: q+1
     168: q+1
     169: q^2+q+1
     170: q+1
     172: q^2+2q+1
     173: q^2+2q+1
     174: q^2+2q+1
     175: q+1
     176: q+1
     177: q+1
     178: q+1
     179: q^2+2q+1
     180: 1
     181: 1
     182: q^2+2q+1
     183: q^2+2q+1
     184: q^2+2q+1
     185: q+1
     186: q+1
     189: q+1
     190: q+1
     191: q+1
     192: q+1
     194: q+1
     195: q+1
     196: q+1
     197: q^2+2q+1
     198: q+1
     199: q+1
     200: q+1
     201: q+1
     202: q^2+2q+1
     203: q+1
     204: q+1
     205: q^2+2q+1
     206: q+1
     207: 1
     208: 1
     209: q+1
     210: q^2+2q+1
     211: q^2+2q+1
     212: q+1
     213: q+1
     214: q^2+2q+1
     215: q+1
     216: q+1
     217: q+1
     218: q+1
     219: q+1
     220: q+1
     221: q^2+q+1
     222: q+1
     224: q+1
     225: q+1
     226: q+1
     227: q+1
     229: q+1
     230: q+1
     231: q^2+2q+1
     232: 1
     233: 1
     234: q^2+2q+1
     235: q^2+2q+1
     236: q^2+2q+1
     237: q+1
     238: q+1
     240: q+1
     243: q+1
     244: q+1
     245: q+1
     246: q+1
     247: q+1
     248: q+1
     249: q+1
     250: q+1
     252: q+1
     253: q+1
     254: q+1
     255: q^2+2q+1
     256: q+1
     257: q+1
     258: 1
     259: 1
     260: q+1
     261: 1
     262: 1
     263: q^2+2q+1
     264: q+1
     265: q+1
     266: q+1
     267: q+1
     268: q^2+2q+1
     269: q+1
     270: q^2+2q+1
     271: q+1
     272: q+1
     273: q+1
     274: q+1
     275: q+1
     276: q^2+2q+1
     277: 1
     278: 1
     279: q+1
     280: q+1
     281: q+1
     282: q+1
     284: q+1
     285: q+1
     286: q^2+2q+1
     287: 1
     288: 1
     289: q+1
     290: q+1
     291: q+1
     292: q+1
     296: q+1
     297: q+1
     298: q+1
     299: q+1
     300: 1
     301: 1
     302: q+1
     305: q+1
     306: q+1
     307: q+1
     308: q+1
     309: q+1
     310: q+1
     311: q+1
     312: 1
     313: 1
     314: 1
     315: 1
     316: q+1
     317: 1
     318: q+1
     319: 1
     320: q+1
     321: q+1
     322: q+1
     323: q+1
     324: q+1
     326: q+1
     327: q+1
     328: q+1
     329: q^2+2q+1
     330: q+1
     331: q+1
     332: q+1
     333: q+1
     334: q^2+2q+1
     335: 1
     336: 1
     337: 1
     338: 1
     339: q+1
     340: 1
     342: q+1
     343: q+1
     344: q+1
     345: q+1
     348: q+1
     349: 1
     350: 1
     351: 1
     352: q+1
     353: 1
     356: q+1
     357: q+1
     358: q+1
     359: q+1
     360: q+1
     361: 1
     362: 1
     363: 1
     364: 1
     365: 1
     367: 1
     368: 1
     369: 1
     370: q+1
     371: q+1
     372: q+1
     373: q+1
     376: q+1
     377: q+1
     378: q+1
     379: q+1
     380: q+1
     381: q+1
     382: 1
     383: q+1
     384: q+1
     385: q+1
     386: q+1
     387: q^2+2q+1
     388: 1
     389: 1
     390: 1
     391: 1
     392: q+1
     393: 1
     395: 1
     396: 1
     397: q+1
     398: 1
     400: 1
     401: 1
     402: q+1
     404: 1
     405: 1
     406: 1
     408: 1
     409: 1
     410: q+1
     412: q+1
     413: 1
     414: 1
     415: q+1
     416: 1
     417: 1
     418: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     426: q+1
     429: q+1
     430: q+1
     431: q+1
     432: q+1
     433: 1
     434: 1
     435: q+1
     436: q+1
     437: 1
     438: 1
     439: 1
     440: q+1
     441: 1
     443: 1
     444: 1
     445: q+1
     446: 1
     448: 1
     450: 1
     451: 1
     452: 1
     453: 1
     456: 1
     457: 1
     458: 1
     459: 1
     461: q+1
     462: 1
     463: 1
     464: 1
     465: 1
     466: 1
     469: 1
     470: 1
     471: 1
     475: q+1
     476: 1
     477: q+1
     478: q+1
     479: 1
     480: 1
     481: 1
     482: 1
     483: 1
     484: 1
     485: 1
     486: q+1
     487: 1
     489: 1
     490: 1
     491: q+1
     492: 1
     495: 1
     498: 1
     499: 1
     500: 1
     501: 1
     502: 1
     505: 1
     506: 1
     507: 1
     508: 1
     509: 1
     510: 1
     511: 1
     512: 1
     515: 1
     519: q+1
     520: 1
     521: 1
     522: 1
     523: 1
     524: 1
     525: 1
     526: 1
     527: 1
     528: 1
     529: 1
     530: q+1
     531: 1
     535: 1
     537: 1
     538: 1
     540: 1
     542: 1
     543: 1
     544: 1
     545: 1
     546: 1
     548: 1
     554: 1
     555: 1
     556: 1
     557: 1
     558: 1
     559: 1
     560: 1
     562: 1
     573: 1
     576: 1
     578: 1
     579: 1
     586: 1
     587: 1
     588: 1
     589: 1
     591: 1
     592: 1
     599: 1
     608: 1
     610: 1
     611: 1
     625: 1

626:   0: q^2+2q+1
       1: q^4+2q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^3+2q^2+2q+1
       5: q^4+2q+1
       6: q^4+2q+1
       7: q^2+2q+1
       8: q^3+2q^2+2q+1
       9: q^4+2q+1
      10: q^4+2q+1
      11: q^2+2q+1
      12: q^4+2q+1
      13: q^3+2q^2+2q+1
      14: q^4+2q+1
      15: q^2+2q+1
      16: q^4+2q+1
      17: q^4+2q+1
      18: q^5+q^4+q+1
      19: q^5+q^4+q+1
      20: q^5+q^4+q+1
      21: q^4+2q+1
      22: q^4+2q+1
      23: q^2+2q+1
      24: q^4+2q+1
      25: q^5+q^4+q+1
      26: q^4+2q+1
      27: q^4+2q+1
      28: q^2+2q+1
      29: q^4+2q+1
      30: q^5+q^4+q+1
      31: 2q+1
      32: 2q+1
      33: q^2+2q+1
      34: q^4+q+1
      35: q^4+q+1
      36: q^2+2q+1
      37: q^3+2q^2+2q+1
      38: q^4+2q+1
      39: q^4+2q+1
      40: q^4+2q+1
      41: q^2+2q+1
      42: q^4+2q+1
      43: q^4+2q+1
      44: q^3+2q^2+2q+1
      45: q^4+2q+1
      46: q^2+2q+1
      47: 2q+1
      48: q^2+2q+1
      49: 2q+1
      50: 2q+1
      51: q^4+q+1
      52: q^4+2q+1
      53: q^4+2q+1
      54: q^4+2q+1
      55: q^4+2q+1
      56: 2q+1
      57: 2q+1
      58: 2q+1
      59: 2q+1
      60: q^2+2q+1
      61: q^4+2q+1
      62: q^4+2q+1
      63: q^2+2q+1
      64: q^4+2q+1
      65: q^5+q^4+q+1
      66: 2q+1
      67: 2q+1
      68: q^2+2q+1
      69: q^4+q+1
      70: q^4+q+1
      71: 2q+1
      72: q^2+2q+1
      73: 2q+1
      74: q^4+q+1
      75: q^4+q+1
      76: q^2+2q+1
      77: q^4+2q+1
      78: q^3+2q^2+2q+1
      79: q^4+2q+1
      80: q^4+2q+1
      81: q^2+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: q^2+2q+1
      89: 2q+1
      90: 2q+1
      91: q^4+q+1
      92: q+1
      93: q^4+2q+1
      94: q^4+q+1
      95: 2q+1
      96: q^4+2q+1
      97: 2q+1
      98: q^4+2q+1
      99: q^4+2q+1
     100: q^2+2q+1
     101: 2q+1
     102: 2q+1
     103: 2q+1
     104: 2q+1
     105: 2q+1
     106: 2q+1
     107: 2q+1
     108: 2q+1
     109: 2q+1
     110: q^2+2q+1
     111: 2q+1
     112: 2q+1
     113: q^2+2q+1
     114: q^4+q+1
     115: q^4+q+1
     116: 2q+1
     117: q^2+2q+1
     118: 2q+1
     119: q^4+q+1
     120: q^4+q+1
     121: 2q+1
     122: 2q+1
     123: q^2+2q+1
     124: q^4+q+1
     125: q^4+q+1
     126: q^2+2q+1
     127: 2q+1
     128: q^2+2q+1
     129: 2q+1
     130: 2q+1
     131: q^2+2q+1
     132: 2q+1
     133: q^2+2q+1
     134: 2q+1
     135: 2q+1
     136: q^4+q+1
     137: q+1
     138: q^4+q+1
     139: q+1
     140: 2q+1
     141: 2q+1
     142: q+1
     143: q^4+q+1
     144: q^4+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: q^2+2q+1
     155: q^2+2q+1
     156: 2q+1
     157: 2q+1
     158: 2q+1
     159: 2q+1
     160: 2q+1
     161: 2q+1
     162: 2q+1
     163: q^2+2q+1
     164: 2q+1
     165: q^4+q+1
     166: q^4+q+1
     167: 2q+1
     168: 2q+1
     169: q^2+2q+1
     170: q^4+q+1
     171: q^4+q+1
     172: 2q+1
     173: 2q+1
     174: 2q+1
     175: q+1
     176: q+1
     177: q+1
     178: q+1
     179: q^2+2q+1
     180: q+1
     181: q+1
     182: q^2+2q+1
     183: 2q+1
     184: q^2+2q+1
     185: 2q+1
     186: 2q+1
     187: q+1
     188: q^4+q+1
     189: q+1
     190: 2q+1
     191: q+1
     192: q+1
     193: q^4+q+1
     194: q+1
     195: 2q+1
     196: 2q+1
     197: 2q+1
     198: 2q+1
     199: 2q+1
     200: q+1
     201: q+1
     202: 2q+1
     203: 2q+1
     204: 2q+1
     205: 2q+1
     206: q+1
     207: q+1
     208: q+1
     209: q+1
     210: 2q+1
     211: 2q+1
     212: 2q+1
     213: 2q+1
     214: q^2+2q+1
     215: 2q+1
     216: 2q+1
     217: 2q+1
     218: 2q+1
     219: 2q+1
     220: 2q+1
     221: q^2+2q+1
     222: q^4+q+1
     223: q^4+q+1
     224: 2q+1
     225: 2q+1
     226: 2q+1
     227: q+1
     228: q+1
     229: q+1
     230: q+1
     231: q^2+2q+1
     232: q+1
     233: q+1
     234: 2q+1
     235: 2q+1
     236: 2q+1
     237: q+1
     238: q+1
     239: q+1
     240: q+1
     241: q+1
     242: q^4+q+1
     243: q+1
     244: 2q+1
     245: q+1
     246: 2q+1
     247: 2q+1
     248: q+1
     249: 2q+1
     250: q+1
     251: q+1
     252: q+1
     253: 2q+1
     254: 2q+1
     255: 2q+1
     256: q+1
     257: q+1
     258: q+1
     259: q+1
     260: q+1
     261: q+1
     262: q+1
     263: 2q+1
     264: 2q+1
     265: 2q+1
     266: q+1
     267: q+1
     268: 2q+1
     269: 2q+1
     270: 2q+1
     271: 2q+1
     272: 2q+1
     273: q+1
     274: q+1
     275: q+1
     276: q^2+2q+1
     277: q+1
     278: q+1
     279: 2q+1
     280: 2q+1
     281: 2q+1
     282: q+1
     283: q+1
     284: 1
     285: 1
     286: q+1
     287: 1
     288: 1
     289: 2q+1
     290: 2q+1
     291: 2q+1
     292: q+1
     293: q+1
     294: q+1
     295: q+1
     296: q+1
     297: q+1
     298: 2q+1
     299: q+1
     300: q+1
     301: q+1
     302: q+1
     303: q+1
     304: q+1
     305: q+1
     306: 2q+1
     307: q+1
     308: 2q+1
     309: 2q+1
     310: q+1
     311: q+1
     312: q+1
     313: q+1
     314: 1
     315: 1
     316: 1
     317: q+1
     318: 1
     319: q+1
     320: 2q+1
     321: 2q+1
     322: q+1
     323: 2q+1
     324: q+1
     325: q+1
     326: q+1
     327: 2q+1
     328: 2q+1
     329: 2q+1
     330: q+1
     331: q+1
     332: 1
     333: 1
     334: q+1
     335: 1
     336: 1
     337: 1
     338: 1
     339: q+1
     340: 1
     341: 1
     342: 2q+1
     343: 2q+1
     344: 2q+1
     345: q+1
     346: q+1
     347: q+1
     348: q+1
     349: q+1
     350: 1
     351: 1
     352: 1
     353: q+1
     354: q+1
     355: q+1
     356: q+1
     357: q+1
     358: 2q+1
     359: q+1
     360: 1
     361: q+1
     362: q+1
     363: 1
     364: q+1
     365: 1
     366: 1
     367: 1
     368: 1
     369: 1
     370: 1
     371: q+1
     372: 2q+1
     373: q+1
     374: q+1
     375: q+1
     376: q+1
     377: 2q+1
     378: q+1
     379: 2q+1
     380: 2q+1
     381: q+1
     382: q+1
     383: q+1
     384: 1
     385: 1
     386: 1
     387: q+1
     388: 1
     389: 1
     390: 1
     391: 1
     392: q+1
     393: 1
     394: 1
     395: 1
     396: 1
     397: q+1
     398: 1
     399: 1
     400: 1
     401: 1
     402: 1
     403: q+1
     404: 1
     405: q+1
     406: 1
     407: 1
     408: 1
     409: 1
     410: 1
     411: q+1
     412: q+1
     413: q+1
     414: 1
     415: 1
     416: 1
     417: q+1
     418: 1
     419: 1
     420: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     426: q+1
     427: q+1
     428: q+1
     429: q+1
     430: q+1
     431: 2q+1
     432: q+1
     433: q+1
     434: q+1
     435: 1
     436: 1
     437: 1
     438: 1
     439: 1
     440: q+1
     441: 1
     442: 1
     443: 1
     444: 1
     445: q+1
     446: 1
     447: 1
     448: 1
     449: 1
     450: 1
     451: 1
     452: 1
     453: 1
     454: 1
     455: 1
     456: 1
     457: 1
     458: 1
     459: 1
     460: q+1
     461: 1
     462: 1
     463: q+1
     464: 1
     465: 1
     466: 1
     467: 1
     468: 1
     469: 1
     470: 1
     471: 1
     473: q+1
     474: q+1
     475: q+1
     476: q+1
     477: 1
     478: 1
     479: 1
     480: q+1
     481: 1
     482: 1
     483: 1
     489: 1
     490: 1
     491: q+1
     492: 1
     493: 1
     496: 1
     497: 1
     498: 1
     500: 1
     501: 1
     502: 1
     503: 1
     504: 1
     505: 1
     507: 1
     508: 1
     509: 1
     510: 1
     511: 1
     512: 1
     513: 1
     514: 1
     515: 1
     518: q+1
     519: 1
     520: 1
     521: q+1
     522: 1
     523: 1
     524: 1
     525: 1
     526: 1
     527: 1
     536: 1
     539: 1
     540: 1
     541: 1
     543: 1
     544: 1
     546: 1
     547: 1
     548: 1
     549: 1
     554: 1
     555: 1
     556: 1
     557: 1
     558: 1
     560: 1
     561: 1
     562: 1
     574: 1
     577: 1
     578: 1
     580: 1
     586: 1
     587: 1
     589: 1
     590: 1
     591: 1
     593: 1
     600: 1
     609: 1
     610: 1
     612: 1
     626: 1

627:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^3+2q^2+2q+1
       3: q^2+2q+1
       4: q^3+2q^2+2q+1
       5: q^2+2q+1
       6: q^2+2q+1
       7: q^3+2q^2+2q+1
       8: q^4+2q^3+3q^2+2q+1
       9: q^2+2q+1
      10: q^2+2q+1
      11: q^3+2q^2+2q+1
      12: q+1
      13: q^4+2q^3+3q^2+2q+1
      14: q^2+2q+1
      15: q^3+2q^2+2q+1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      20: q+1
      21: q^2+2q+1
      22: q^2+2q+1
      23: q^3+2q^2+2q+1
      24: q+1
      25: q+1
      26: q^2+2q+1
      27: q^2+2q+1
      28: q^3+2q^2+2q+1
      29: q+1
      30: q+1
      31: q^2+2q+1
      32: q^2+2q+1
      33: q^3+2q^2+2q+1
      34: q+1
      35: q+1
      36: q^2+2q+1
      37: q^3+2q^2+2q+1
      38: q+1
      39: q+1
      40: q+1
      41: q^2+2q+1
      42: q^2+2q+1
      43: q^2+2q+1
      44: q^4+2q^3+3q^2+2q+1
      45: q^2+2q+1
      46: q^2+2q+1
      47: q^2+2q+1
      48: q^3+2q^2+2q+1
      49: q^2+2q+1
      50: q^2+2q+1
      51: q+1
      52: q+1
      53: q+1
      54: q^2+2q+1
      55: q^2+2q+1
      56: q^2+2q+1
      57: q^2+2q+1
      58: q^2+2q+1
      59: q^2+2q+1
      60: q^2+2q+1
      61: q^2+2q+1
      62: q^2+2q+1
      63: q^3+2q^2+2q+1
      64: q+1
      65: q+1
      66: q^2+2q+1
      67: q^2+2q+1
      68: q^3+2q^2+2q+1
      69: q+1
      70: q+1
      71: q^2+2q+1
      72: q^3+2q^2+2q+1
      73: q+1
      74: q+1
      75: q+1
      76: q^2+2q+1
      77: q+1
      78: q^3+2q^2+2q+1
      79: q+1
      80: q+1
      81: q^2+2q+1
      82: q^2+2q+1
      83: q^3+2q^2+2q+1
      84: q^2+2q+1
      85: q^2+2q+1
      86: q^2+2q+1
      87: q^2+2q+1
      88: q^3+2q^2+2q+1
      89: q^2+2q+1
      90: q^2+2q+1
      91: q+1
      92: q+1
      93: q+1
      94: q+1
      95: q+1
      96: q^2+2q+1
      97: q^2+2q+1
      98: q+1
      99: q+1
     100: q^2+2q+1
     101: q^2+2q+1
     102: q^2+2q+1
     103: q^2+2q+1
     104: q^2+2q+1
     105: q^2+2q+1
     106: q^2+2q+1
     107: q^2+2q+1
     108: q^2+2q+1
     109: q^2+2q+1
     110: q^2+2q+1
     111: q^2+2q+1
     112: q^2+2q+1
     113: q^3+2q^2+2q+1
     114: q+1
     115: q+1
     116: q^2+2q+1
     117: q^3+2q^2+2q+1
     118: q+1
     119: q+1
     120: q+1
     121: q^2+2q+1
     122: q+1
     123: q^3+2q^2+2q+1
     124: q+1
     125: q+1
     126: q^2+2q+1
     127: q+1
     128: q^2+2q+1
     129: q+1
     130: q+1
     131: q^2+2q+1
     132: q^2+2q+1
     133: q^3+2q^2+2q+1
     134: q^2+2q+1
     135: q^2+2q+1
     136: q+1
     137: q+1
     138: q+1
     139: q+1
     140: q+1
     141: q^2+2q+1
     142: q+1
     143: q+1
     144: q+1
     145: q+1
     146: q^2+2q+1
     147: q^2+2q+1
     148: q^2+2q+1
     149: q+1
     150: q+1
     151: q+1
     152: q^2+2q+1
     153: q^2+2q+1
     154: q^2+2q+1
     155: q^2+2q+1
     156: q^2+2q+1
     157: q^2+2q+1
     158: q^2+2q+1
     159: q^2+2q+1
     160: q^2+2q+1
     161: q^2+2q+1
     162: q^2+2q+1
     163: q^3+2q^2+2q+1
     164: q+1
     165: q+1
     166: q+1
     167: q^2+2q+1
     168: q+1
     169: q^3+2q^2+2q+1
     170: q+1
     171: q+1
     172: q^2+2q+1
     173: q+1
     174: q^2+2q+1
     175: q+1
     176: q+1
     177: q+1
     178: q+1
     179: q^3+2q^2+2q+1
     180: q+1
     181: q+1
     182: q^2+2q+1
     183: q+1
     184: q^2+2q+1
     185: q+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: q+1
     195: q+1
     196: q^2+2q+1
     197: q+1
     198: q^2+2q+1
     199: q+1
     200: q+1
     201: q+1
     202: q+1
     203: q+1
     204: q^2+2q+1
     205: q^2+2q+1
     206: q+1
     207: q+1
     208: q+1
     209: q+1
     210: q^2+2q+1
     211: q+1
     212: q+1
     213: q+1
     214: q^2+2q+1
     215: q^2+2q+1
     216: q^2+2q+1
     217: q^2+2q+1
     218: q^2+2q+1
     219: q^2+2q+1
     220: q+1
     221: q^3+2q^2+2q+1
     222: q+1
     223: q+1
     224: q^2+2q+1
     225: q+1
     226: q^2+2q+1
     227: q+1
     228: q+1
     229: q+1
     230: 1
     231: q^2+2q+1
     232: 1
     233: 1
     234: q^2+2q+1
     235: q+1
     236: q^2+2q+1
     237: q+1
     238: q+1
     239: q+1
     240: q+1
     241: q+1
     242: q+1
     243: q+1
     244: q+1
     245: q+1
     246: q^2+2q+1
     247: q+1
     248: q+1
     249: q+1
     250: q+1
     251: q+1
     252: q+1
     253: q+1
     254: q^2+2q+1
     255: q+1
     256: q+1
     257: 1
     258: 1
     259: 1
     260: q+1
     261: q+1
     262: q+1
     263: q+1
     264: q^2+2q+1
     265: q+1
     266: q+1
     267: q+1
     268: q+1
     269: q+1
     270: q^2+2q+1
     271: q^2+2q+1
     272: q^2+2q+1
     273: q+1
     274: q+1
     275: 1
     276: q^2+2q+1
     277: 1
     278: 1
     279: q^2+2q+1
     280: q+1
     281: q^2+2q+1
     282: q+1
     283: q+1
     284: q+1
     285: 1
     286: q^2+2q+1
     287: 1
     288: 1
     289: q^2+2q+1
     290: q+1
     291: q^2+2q+1
     292: q+1
     293: q+1
     294: q+1
     295: q+1
     296: q+1
     297: q+1
     298: q+1
     299: 1
     300: 1
     301: 1
     302: q+1
     303: q+1
     304: q+1
     305: q+1
     306: q+1
     307: q+1
     308: q^2+2q+1
     309: q+1
     310: q+1
     311: 1
     312: q+1
     313: 1
     314: 1
     315: 1
     316: 1
     317: 1
     318: q+1
     319: q+1
     320: q+1
     321: q^2+2q+1
     322: q+1
     323: q+1
     324: q+1
     325: q+1
     326: q+1
     327: q+1
     328: q^2+2q+1
     329: q+1
     330: q+1
     331: q+1
     332: q+1
     333: 1
     334: q^2+2q+1
     335: 1
     336: 1
     337: q+1
     338: 1
     339: q^2+2q+1
     340: 1
     341: 1
     342: q^2+2q+1
     343: q+1
     344: q^2+2q+1
     345: q+1
     346: q+1
     347: q+1
     348: q+1
     349: 1
     350: 1
     351: 1
     352: 1
     353: 1
     354: q+1
     355: q+1
     356: q+1
     357: q+1
     358: q+1
     359: 1
     360: q+1
     361: 1
     362: q+1
     363: 1
     364: 1
     365: 1
     366: 1
     367: 1
     368: 1
     369: q+1
     370: 1
     371: q+1
     372: q+1
     373: q+1
     374: q+1
     375: q+1
     376: q+1
     377: q+1
     378: q+1
     379: q^2+2q+1
     380: q+1
     381: 1
     382: q+1
     383: q+1
     384: q+1
     385: 1
     386: 1
     387: q+1
     390: q+1
     391: 1
     392: q^2+2q+1
     393: 1
     394: 1
     395: q+1
     396: 1
     397: q^2+2q+1
     398: 1
     399: 1
     402: 1
     403: q+1
     404: 1
     405: 1
     406: 1
     407: 1
     408: 1
     409: 1
     410: 1
     411: q+1
     412: q+1
     413: 1
     414: q+1
     415: 1
     416: 1
     417: 1
     418: 1
     419: 1
     420: 1
     421: 1
     422: 1
     423: 1
     424: q+1
     425: 1
     426: q+1
     427: q+1
     428: q+1
     429: q+1
     430: q+1
     431: q+1
     432: 1
     433: 1
     434: q+1
     435: q+1
     436: 1
     437: q+1
     438: 1
     439: 1
     440: q+1
     443: q+1
     444: 1
     445: q^2+2q+1
     446: 1
     447: 1
     452: 1
     453: 1
     454: 1
     455: 1
     456: 1
     457: 1
     458: 1
     459: 1
     460: q+1
     461: 1
     462: 1
     463: 1
     464: q+1
     465: 1
     466: 1
     467: 1
     468: 1
     469: 1
     470: 1
     471: 1
     473: q+1
     474: q+1
     475: q+1
     476: 1
     477: 1
     478: 1
     479: 1
     480: 1
     481: q+1
     482: 1
     483: q+1
     484: 1
     485: 1
     486: q+1
     489: 1
     490: 1
     491: q+1
     499: 1
     501: 1
     503: 1
     504: 1
     505: 1
     506: 1
     507: 1
     509: 1
     510: 1
     511: 1
     512: 1
     513: 1
     514: 1
     515: 1
     518: q+1
     519: 1
     520: 1
     521: 1
     522: 1
     523: 1
     524: 1
     525: q+1
     526: 1
     527: 1
     528: 1
     529: 1
     530: q+1
     537: 1
     541: 1
     542: 1
     545: 1
     546: 1
     547: 1
     548: 1
     549: 1
     555: 1
     556: 1
     557: 1
     558: 1
     559: 1
     560: 1
     561: 1
     562: 1
     563: 1
     564: 1
     565: q+1
     571: 1
     575: 1
     579: 1
     580: 1
     588: 1
     589: 1
     590: 1
     591: 1
     592: 1
     593: 1
     601: 1
     611: 1
     612: 1
     613: 1
     627: 1

628:   0: q^3+2q^2+2q+1
       1: q^2+2q+1
       2: q^4+2q^3+2q^2+2q+1
       3: q^3+2q^2+2q+1
       4: q^3+2q^2+2q+1
       5: q^2+2q+1
       6: q^2+2q+1
       7: q^2+2q+1
       8: q^4+2q^3+2q^2+2q+1
       9: q+1
      10: q^2+2q+1
      11: q^2+2q+1
      12: q^6+2q+1
      13: q^4+2q^3+2q^2+2q+1
      14: q+1
      15: q+1
      16: q^6+2q+1
      17: q^7+q^6+q+1
      18: q^7+q^6+q+1
      19: q^6+1
      20: q^6+1
      21: q+1
      22: q+1
      23: q+1
      24: q^6+q+1
      25: q^6+1
      26: q^2+2q+1
      27: q^2+2q+1
      28: q^2+2q+1
      29: q^6+2q+1
      30: q^6+1
      31: q^2+2q+1
      32: q^2+2q+1
      33: q^2+2q+1
      34: q^6+q+1
      35: q^6+1
      36: q^3+2q^2+2q+1
      37: q^3+2q^2+2q+1
      38: 2q+1
      39: 2q+1
      40: q+1
      41: q^3+2q^2+2q+1
      42: q^2+2q+1
      43: q^2+2q+1
      44: q^4+2q^3+2q^2+2q+1
      45: q+1
      46: q^3+2q^2+2q+1
      47: q^2+2q+1
      48: q^4+2q^3+2q^2+2q+1
      49: q^2+2q+1
      50: q+1
      51: q^6+1
      52: q+1
      53: 2q+1
      54: q+1
      55: q^2+2q+1
      56: q^2+2q+1
      57: q+1
      58: q^2+2q+1
      59: q^2+2q+1
      60: q^3+2q^2+2q+1
      61: q+1
      62: q+1
      63: q+1
      64: q^6+q+1
      65: q^6+1
      66: q^2+2q+1
      67: q^2+2q+1
      68: q^2+2q+1
      69: q^6+q+1
      70: q^6+1
      71: q^2+2q+1
      72: q^2+2q+1
      73: 2q+1
      74: q+1
      75: 1
      76: q^3+2q^2+2q+1
      77: 2q+1
      78: q^3+2q^2+2q+1
      79: 2q+1
      80: q+1
      81: q^3+2q^2+2q+1
      82: q^2+2q+1
      83: q^4+2q^3+2q^2+2q+1
      84: q^2+2q+1
      85: q+1
      86: q^3+2q^2+2q+1
      87: q^2+2q+1
      88: q^4+2q^3+2q^2+2q+1
      89: q^2+2q+1
      90: q+1
      91: q^6+1
      92: q+1
      93: q+1
      94: 1
      95: 2q+1
      96: q+1
      97: q^2+2q+1
      98: q+1
      99: 2q+1
     100: q^3+2q^2+2q+1
     101: q+1
     102: q^2+2q+1
     103: q^2+2q+1
     104: q+1
     105: q^2+2q+1
     106: q^2+2q+1
     107: q+1
     108: q^2+2q+1
     109: q^2+2q+1
     110: q^3+2q^2+2q+1
     111: q+1
     112: q+1
     113: q+1
     114: 1
     115: 1
     116: q^2+2q+1
     117: q^2+2q+1
     118: 2q+1
     119: q+1
     120: 1
     121: q^2+2q+1
     122: 2q+1
     123: q^2+2q+1
     124: q+1
     125: 1
     126: q^3+2q^2+2q+1
     127: 2q+1
     128: q^3+2q^2+2q+1
     129: 2q+1
     130: q+1
     131: q^3+2q^2+2q+1
     132: q^2+2q+1
     133: q^4+2q^3+2q^2+2q+1
     134: q^2+2q+1
     135: q+1
     136: 1
     137: 1
     138: 1
     139: q+1
     140: 2q+1
     141: q+1
     142: q+1
     143: 1
     144: q+1
     145: 2q+1
     146: q^2+2q+1
     147: q+1
     148: q^2+2q+1
     149: 2q+1
     150: q+1
     151: 2q+1
     152: q+1
     153: q^2+2q+1
     154: q^3+2q^2+2q+1
     155: q^3+2q^2+2q+1
     156: q+1
     157: q^2+2q+1
     158: q^2+2q+1
     159: q+1
     160: q^2+2q+1
     161: q^2+2q+1
     162: q+1
     163: q+1
     164: q+1
     165: 1
     166: 1
     167: q^2+2q+1
     168: 2q+1
     169: q^2+2q+1
     170: q+1
     171: 1
     172: q^2+2q+1
     173: 2q+1
     174: q^2+2q+1
     175: q+1
     176: 1
     177: q^3+2q^2+2q+1
     178: q^2+2q+1
     179: q^4+2q^3+2q^2+2q+1
     180: q^2+2q+1
     181: q+1
     182: q^3+2q^2+2q+1
     183: 2q+1
     184: q^3+2q^2+2q+1
     185: 2q+1
     186: q+1
     187: 1
     188: 1
     189: 1
     190: q+1
     191: q+1
     192: 1
     193: 1
     194: q+1
     195: 2q+1
     196: q^2+2q+1
     197: 2q+1
     198: q+1
     199: 2q+1
     200: q+1
     201: 1
     202: 2q+1
     203: q+1
     204: q+1
     205: q^2+2q+1
     206: q^3+2q^2+2q+1
     207: q+1
     208: q^2+2q+1
     209: q^2+2q+1
     210: q^2+2q+1
     211: 2q+1
     212: q+1
     213: 2q+1
     214: q^3+2q^2+2q+1
     215: q+1
     216: q^2+2q+1
     217: q+1
     218: q^2+2q+1
     219: q+1
     220: q+1
     221: q+1
     222: 1
     223: 1
     224: q^2+2q+1
     225: 2q+1
     226: q^2+2q+1
     227: q+1
     228: 1
     229: q^3+2q^2+2q+1
     230: 2q+1
     231: q^3+2q^2+2q+1
     232: 2q+1
     233: q+1
     234: q^2+2q+1
     235: 2q+1
     236: q^2+2q+1
     237: q+1
     238: 1
     239: 1
     240: 1
     241: 1
     242: 1
     243: 1
     244: q+1
     245: q+1
     246: q+1
     247: 2q+1
     248: q+1
     249: q+1
     250: 1
     251: 1
     252: q+1
     253: 2q+1
     254: q^2+2q+1
     255: 2q+1
     256: q^2+2q+1
     257: 2q+1
     258: q+1
     259: 2q+1
     260: q^3+2q^2+2q+1
     261: q+1
     262: q^2+2q+1
     263: 2q+1
     264: q^2+2q+1
     265: 2q+1
     266: q+1
     267: 1
     268: 2q+1
     269: q+1
     270: q^2+2q+1
     271: q+1
     272: q+1
     273: q^3+2q^2+2q+1
     274: q^3+2q^2+2q+1
     275: 2q+1
     276: q^3+2q^2+2q+1
     277: 2q+1
     278: q+1
     279: q+1
     280: q+1
     281: q+1
     282: 1
     283: 1
     284: q^2+2q+1
     285: 2q+1
     286: q^2+2q+1
     287: q+1
     288: 1
     289: q^2+2q+1
     290: 2q+1
     291: q^2+2q+1
     292: q+1
     293: 1
     294: 1
     295: 1
     296: 1
     297: q+1
     298: q+1
     299: 2q+1
     300: q+1
     301: 2q+1
     302: 1
     303: 1
     304: 1
     305: 1
     306: q+1
     307: q+1
     308: q+1
     309: 2q+1
     310: q^3+2q^2+2q+1
     311: 2q+1
     312: q^2+2q+1
     313: 2q+1
     314: q+1
     315: 1
     316: 2q+1
     317: q+1
     318: q^2+2q+1
     319: q+1
     320: 2q+1
     321: q+1
     322: q+1
     323: q+1
     324: 1
     325: 1
     326: q+1
     327: 2q+1
     328: q^2+2q+1
     329: 2q+1
     330: q^2+2q+1
     331: q^3+2q^2+2q+1
     332: q^2+2q+1
     333: 2q+1
     334: q^2+2q+1
     335: q+1
     336: 1
     337: q^2+2q+1
     338: 2q+1
     339: q^2+2q+1
     340: q+1
     341: 1
     342: q+1
     343: q+1
     344: q+1
     345: 1
     346: 1
     347: 1
     348: 1
     349: 2q+1
     350: q+1
     351: 1
     352: 2q+1
     353: q+1
     354: 1
     355: 1
     356: 1
     357: q+1
     358: q+1
     359: 2q+1
     360: q^2+2q+1
     361: 2q+1
     362: q+1
     363: q+1
     364: q+1
     365: 1
     366: 1
     367: q+1
     368: 2q+1
     369: q^2+2q+1
     370: 2q+1
     371: q+1
     372: q+1
     373: 1
     374: 1
     375: 1
     376: 1
     377: q+1
     378: q+1
     379: q+1
     380: 2q+1
     381: 2q+1
     382: q^2+2q+1
     383: q^3+2q^2+2q+1
     384: q^2+2q+1
     385: q+1
     386: q+1
     387: q+1
     388: 1
     389: 1
     390: q^2+2q+1
     391: 2q+1
     392: q^2+2q+1
     393: q+1
     394: 1
     395: q+1
     396: q+1
     397: q+1
     398: 1
     399: 1
     400: 1
     401: 1
     402: q+1
     403: 1
     404: q+1
     405: q+1
     406: 1
     407: 1
     408: q+1
     409: 2q+1
     410: q+1
     411: 1
     412: 1
     413: 2q+1
     414: q^2+2q+1
     415: 2q+1
     416: q+1
     417: q+1
     418: 1
     419: 1
     420: 1
     421: 1
     422: q+1
     423: q+1
     424: q+1
     425: 2q+1
     426: 1
     427: 1
     428: 1
     429: 1
     430: q+1
     431: q+1
     432: 2q+1
     433: 2q+1
     434: q+1
     435: q^2+2q+1
     436: 2q+1
     437: q^2+2q+1
     438: q+1
     439: q+1
     440: q+1
     441: 1
     442: 1
     443: q+1
     444: q+1
     445: q+1
     446: 1
     447: 1
     448: 1
     449: 1
     450: 1
     451: 1
     452: q+1
     453: 1
     454: 1
     455: 1
     456: 1
     457: q+1
     458: q+1
     459: q+1
     460: 1
     461: q+1
     462: q+1
     463: q+1
     464: q+1
     465: 2q+1
     466: 1
     467: 1
     468: 1
     469: 1
     470: q+1
     471: q+1
     472: 2q+1
     473: 1
     474: 1
     475: 1
     476: 2q+1
     477: 2q+1
     478: q+1
     479: q+1
     480: q+1
     481: q^2+2q+1
     482: 2q+1
     483: q+1
     496: 1
     500: 1
     502: 1
     503: 1
     504: 1
     505: 1
     508: 1
     509: q+1
     510: 1
     511: q+1
     512: q+1
     513: 1
     514: 1
     515: 1
     516: 2q+1
     517: 2q+1
     518: 1
     519: q+1
     520: q+1
     521: q+1
     522: 2q+1
     523: q+1
     524: 1
     525: q+1
     526: q+1
     527: q+1
     539: 1
     541: 1
     543: 1
     544: 1
     547: 1
     548: 1
     549: 1
     550: q+1
     551: q+1
     552: q+1
     553: 2q+1
     554: 1
     555: q+1
     556: 1
     557: q+1
     558: q+1
     561: 1
     562: 1
     577: 1
     580: 1
     581: 1
     582: 1
     583: q+1
     584: q+1
     585: q+1
     586: 1
     587: 1
     590: 1
     591: 1
     593: 1
     597: 1
     602: 1
     603: 1
     605: 1
     607: 1
     609: 1
     612: 1
     615: 1
     616: 1
     620: 1
     623: 1
     628: 1

629:   0: 1
       1: 1
       2: 1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
       8: 1
      10: 1
      11: 1
      12: 1
      13: 1
      16: 1
      18: 1
      26: 1
      27: 1
      28: 1
      29: 1
      31: 1
      32: 1
      33: 1
      34: 1
      36: 1
      37: 1
      38: 1
      39: 1
      41: 1
      42: 1
      43: 1
      44: 1
      46: 1
      47: 1
      48: 1
      49: 1
      53: 1
      55: 1
      56: 1
      58: 1
      59: 1
      60: 1
      66: 1
      67: 1
      68: 1
      69: 1
      71: 1
      72: 1
      73: 1
      74: 1
      76: 1
      77: 1
      78: 1
      79: 1
      81: 1
      82: 1
      83: 1
      84: 1
      86: 1
      87: 1
      88: 1
      89: 1
      92: 1
      95: 1
      97: 1
      99: 1
     100: 1
     102: 1
     103: 1
     105: 1
     106: 1
     108: 1
     109: 1
     110: 1
     116: 1
     117: 1
     118: 1
     119: 1
     121: 1
     122: 1
     123: 1
     124: 1
     126: 1
     127: 1
     128: 1
     129: 1
     131: 1
     132: 1
     133: 1
     134: 1
     139: 1
     140: 1
     142: 1
     145: 1
     146: 1
     148: 1
     149: 1
     151: 1
     153: 1
     154: 1
     155: 1
     157: 1
     158: 1
     160: 1
     161: 1
     167: 1
     168: 1
     169: 1
     170: 1
     172: 1
     173: 1
     174: 1
     175: 1
     177: 1
     178: 1
     179: 1
     180: 1
     182: 1
     183: 1
     184: 1
     185: 1
     191: 1
     194: 1
     195: 1
     196: 1
     197: 1
     199: 1
     200: 1
     202: 1
     205: 1
     206: 1
     208: 1
     209: 1
     210: 1
     211: 1
     213: 1
     214: 1
     216: 1
     218: 1
     224: 1
     225: 1
     226: 1
     227: 1
     229: 1
     230: 1
     231: 1
     232: 1
     234: 1
     235: 1
     236: 1
     237: 1
     245: 1
     247: 1
     248: 1
     252: 1
     253: 1
     254: 1
     255: 1
     256: 1
     257: 1
     259: 1
     260: 1
     262: 1
     263: 1
     264: 1
     265: 1
     266: 1
     268: 1
     270: 1
     273: 1
     274: 1
     275: 1
     276: 1
     277: 1
     284: 1
     285: 1
     286: 1
     287: 1
     289: 1
     290: 1
     291: 1
     292: 1
     297: 1
     299: 1
     301: 1
     307: 1
     309: 1
     310: 1
     311: 1
     312: 1
     313: 1
     314: 1
     316: 1
     318: 1
     320: 1
     322: 1
     326: 1
     327: 1
     328: 1
     329: 1
     330: 1
     331: 1
     332: 1
     333: 1
     334: 1
     335: 1
     337: 1
     338: 1
     339: 1
     340: 1
     349: 1
     350: 1
     352: 1
     357: 1
     359: 1
     360: 1
     361: 1
     363: 1
     367: 1
     368: 1
     369: 1
     370: 1
     371: 1
     378: 1
     380: 1
     381: 1
     382: 1
     383: 1
     384: 1
     385: 1
     386: 1
     387: 1
     388: 1
     390: 1
     391: 1
     392: 1
     393: 1
     400: 1
     402: 1
     404: 1
     408: 1
     409: 1
     410: 1
     413: 1
     414: 1
     415: 1
     416: 1
     423: 1
     425: 1
     430: 1
     432: 1
     433: 1
     435: 1
     436: 1
     437: 1
     438: 1
     439: 1
     440: 1
     441: 1
     450: 1
     451: 1
     452: 1
     458: 1
     459: 1
     461: 1
     462: 1
     465: 1
     470: 1
     472: 1
     476: 1
     477: 1
     478: 1
     479: 1
     481: 1
     482: 1
     484: 1
     485: 1
     486: 1
     487: 1
     495: 1
     499: 1
     502: 1
     506: 1
     508: 1
     509: 1
     511: 1
     516: 1
     517: 1
     519: 1
     520: 1
     522: 1
     523: 1
     526: 1
     538: 1
     544: 1
     545: 1
     550: 1
     552: 1
     553: 1
     554: 1
     555: 1
     557: 1
     559: 1
     576: 1
     581: 1
     583: 1
     584: 1
     587: 1
     588: 1
     597: 1
     603: 1
     604: 1
     608: 1
     616: 1
     619: 1
     629: 1

630:   0: q^3+q+1
       1: q+1
       2: q^3+q+1
       3: q^3+q+1
       4: q^3+q+1
       5: 1
       6: q+1
       7: q+1
       8: q^3+q+1
       9: 1
      10: 1
      11: 1
      12: q+1
      13: q^3+q+1
      14: 1
      15: 1
      16: 1
      17: 1
      18: q^7+1
      19: q^7+1
      21: 1
      22: 1
      23: 1
      24: 1
      25: q^7+1
      26: 1
      27: 1
      28: 1
      29: 1
      31: q+1
      32: q+1
      33: q+1
      34: 1
      35: 1
      36: q^3+q+1
      37: q^3+q+1
      38: q+1
      39: 1
      40: 1
      41: q^3+q+1
      42: q+1
      43: 1
      44: q^3+q+1
      45: 1
      46: q^3+q+1
      47: q+1
      48: q^3+q+1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: q+1
      57: 1
      58: 1
      59: q+1
      60: q^3+q+1
      61: 1
      62: 1
      63: 1
      64: 1
      66: 1
      67: 1
      68: 1
      69: 1
      71: q+1
      72: q+1
      73: q+1
      74: 1
      75: 1
      76: q^3+q+1
      77: q+1
      78: q^3+q+1
      79: 1
      80: 1
      81: q^3+q+1
      82: q+1
      83: q^3+q+1
      84: 1
      85: 1
      86: q^3+q+1
      87: q+1
      88: q^3+q+1
      89: 1
      90: 1
      92: 1
      93: 1
      94: 1
      95: q+1
      96: 1
      97: 1
      98: 1
      99: 1
     100: q^3+q+1
     101: 1
     102: 1
     103: q+1
     104: 1
     105: 1
     106: q+1
     107: 1
     108: 1
     109: q+1
     110: q^3+q+1
     111: 1
     112: 1
     113: 1
     114: 1
     116: 1
     117: 1
     118: 1
     119: 1
     121: q+1
     122: q+1
     123: q+1
     124: 1
     125: 1
     126: q^3+q+1
     127: q+1
     128: q^3+q+1
     129: 1
     130: 1
     131: q^3+q+1
     132: q+1
     133: q^3+q+1
     134: 1
     135: 1
     137: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: 1
     144: 1
     145: q+1
     146: q+1
     147: 1
     148: 1
     149: q+1
     150: 1
     151: 1
     152: 1
     153: 1
     154: q^3+q+1
     155: q^3+q+1
     156: 1
     157: 1
     158: q+1
     159: 1
     160: 1
     161: q+1
     162: 1
     163: 1
     164: 1
     165: 1
     167: 1
     168: 1
     169: 1
     170: 1
     172: q+1
     173: q+1
     174: q+1
     175: 1
     176: 1
     177: q^3+q+1
     178: q+1
     179: q^3+q+1
     180: 1
     181: 1
     182: q^3+q+1
     183: q+1
     184: q^3+q+1
     185: 1
     186: 1
     189: 1
     190: 1
     191: 1
     192: 1
     194: 1
     195: 1
     196: 1
     197: q+1
     198: 1
     199: 1
     200: 1
     201: 1
     202: q+1
     203: 1
     204: 1
     205: q+1
     206: q^3+q+1
     207: 1
     208: 1
     209: q+1
     210: q+1
     211: q+1
     212: 1
     213: 1
     214: q^3+q+1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     224: 1
     225: 1
     226: 1
     227: 1
     229: q^3+q+1
     230: q+1
     231: q^3+q+1
     232: 1
     233: 1
     234: q+1
     235: q+1
     236: q+1
     237: 1
     238: 1
     240: 1
     243: 1
     244: 1
     245: 1
     246: 1
     247: 1
     248: 1
     249: 1
     250: 1
     252: 1
     253: 1
     254: 1
     255: q+1
     256: q+1
     257: q+1
     258: 1
     259: 1
     260: q^3+q+1
     261: 1
     262: 1
     263: q+1
     264: 1
     265: 1
     266: 1
     267: 1
     268: q+1
     269: 1
     270: q+1
     271: 1
     272: 1
     273: q^3+q+1
     274: q^3+q+1
     275: q+1
     276: q^3+q+1
     277: 1
     278: 1
     279: 1
     280: 1
     281: 1
     282: 1
     284: q+1
     285: q+1
     286: q+1
     287: 1
     288: 1
     289: 1
     290: 1
     291: 1
     292: 1
     296: 1
     297: 1
     298: 1
     299: q+1
     300: 1
     301: 1
     302: 1
     305: 1
     306: 1
     307: 1
     308: 1
     309: 1
     310: q^3+q+1
     311: q+1
     312: 1
     313: 1
     314: 1
     315: 1
     316: q+1
     317: 1
     318: q+1
     319: 1
     320: 1
     321: 1
     322: 1
     323: 1
     324: 1
     326: 1
     327: 1
     328: 1
     329: q+1
     330: q+1
     331: q^3+q+1
     332: q+1
     333: q+1
     334: q+1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: 1
     342: 1
     343: 1
     344: 1
     345: 1
     348: 1
     349: 1
     350: 1
     351: 1
     352: q+1
     353: 1
     356: 1
     357: 1
     358: 1
     359: q+1
     360: q+1
     361: 1
     362: 1
     363: 1
     364: 1
     365: 1
     367: 1
     368: 1
     369: 1
     370: q+1
     371: 1
     372: 1
     373: 1
     376: 1
     377: 1
     378: 1
     379: 1
     380: 1
     381: q+1
     382: 1
     383: q^3+q+1
     384: q+1
     385: q+1
     386: q+1
     387: q+1
     388: 1
     389: 1
     390: 1
     391: 1
     392: 1
     393: 1
     395: 1
     396: 1
     397: 1
     398: 1
     400: 1
     401: 1
     402: q+1
     404: 1
     405: 1
     406: 1
     408: 1
     409: 1
     410: q+1
     412: 1
     413: 1
     414: 1
     415: q+1
     416: 1
     417: 1
     418: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     426: 1
     429: 1
     430: 1
     431: 1
     432: q+1
     433: 1
     434: 1
     435: q+1
     436: q+1
     437: 1
     438: 1
     439: 1
     440: 1
     441: 1
     443: 1
     444: 1
     445: 1
     446: 1
     448: 1
     450: 1
     451: 1
     452: 1
     453: 1
     456: 1
     457: 1
     458: 1
     459: 1
     461: q+1
     462: 1
     463: 1
     464: 1
     465: 1
     466: 1
     469: 1
     470: 1
     471: 1
     472: q+1
     475: 1
     476: 1
     477: q+1
     478: q+1
     479: 1
     480: 1
     481: 1
     482: 1
     483: 1
     489: 1
     490: 1
     491: 1
     492: 1
     498: 1
     500: 1
     501: 1
     502: 1
     505: 1
     507: 1
     508: 1
     509: 1
     510: 1
     511: 1
     512: 1
     515: 1
     516: 1
     517: q+1
     519: q+1
     520: 1
     521: 1
     522: 1
     523: 1
     524: 1
     525: 1
     526: 1
     527: 1
     540: 1
     543: 1
     544: 1
     546: 1
     548: 1
     550: 1
     551: 1
     552: q+1
     553: 1
     554: 1
     555: 1
     556: 1
     557: 1
     558: 1
     560: 1
     562: 1
     578: 1
     581: 1
     582: 1
     583: 1
     584: 1
     585: 1
     586: 1
     587: 1
     589: 1
     591: 1
     597: 1
     602: 1
     603: 1
     606: 1
     607: 1
     610: 1
     615: 1
     616: 1
     621: 1
     630: 1

631:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       5: q+1
       6: q+1
       7: q+1
       8: q+1
       9: q+1
      10: q+1
      11: q+1
      12: q+1
      13: q+1
      14: q+1
      15: q+1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      20: q+1
      21: q+1
      22: q+1
      23: q+1
      24: q+1
      25: q+1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      30: q+1
      31: q+1
      32: q+1
      33: q+1
      34: q+1
      35: q+1
      36: q+1
      37: q+1
      38: q+1
      39: q+1
      40: q+1
      41: q+1
      42: q+1
      43: q+1
      44: q+1
      45: q+1
      46: q+1
      47: q+1
      48: q+1
      49: q+1
      50: q+1
      51: q+1
      52: q+1
      53: q+1
      54: q+1
      55: q+1
      56: q+1
      57: q+1
      58: q+1
      59: q+1
      60: q+1
      61: q+1
      62: q+1
      63: q+1
      64: q+1
      65: q+1
      66: q+1
      67: q+1
      68: q+1
      69: q+1
      70: q+1
      71: q+1
      72: q+1
      73: q+1
      74: q+1
      75: q+1
      76: q+1
      77: q+1
      78: q+1
      79: q+1
      80: q+1
      81: q+1
      82: q+1
      83: q+1
      84: q+1
      85: q+1
      86: 1
      87: 1
      88: 1
      89: 1
      90: 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: 1
     108: 1
     109: 1
     110: 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: q+1
     125: q+1
     126: q+1
     127: q+1
     128: q+1
     129: q+1
     130: q+1
     131: 1
     132: 1
     133: 1
     134: 1
     135: 1
     136: q+1
     137: q+1
     138: q+1
     139: q+1
     140: q+1
     141: q+1
     142: q+1
     143: q+1
     144: q+1
     145: q+1
     146: q+1
     147: q+1
     148: q+1
     149: q+1
     150: q+1
     151: q+1
     152: q+1
     153: q+1
     154: q+1
     155: 1
     156: 1
     157: 1
     158: 1
     159: 1
     160: 1
     161: 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: q+1
     172: q+1
     173: q+1
     174: q+1
     175: q+1
     176: q+1
     177: 1
     178: 1
     179: 1
     180: 1
     181: 1
     182: 1
     183: 1
     184: 1
     185: 1
     186: 1
     187: q+1
     188: q+1
     189: q+1
     190: q+1
     191: q+1
     192: q+1
     193: q+1
     194: q+1
     195: q+1
     196: q+1
     197: q+1
     198: q+1
     199: q+1
     200: q+1
     201: q+1
     202: q+1
     203: q+1
     204: q+1
     205: q+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: q+1
     220: q+1
     221: q+1
     222: q+1
     223: q+1
     224: q+1
     225: q+1
     226: q+1
     227: q+1
     228: q+1
     229: 1
     230: 1
     231: 1
     232: 1
     233: 1
     234: 1
     235: 1
     236: 1
     237: 1
     238: 1
     239: q+1
     240: q+1
     241: q+1
     242: q+1
     243: q+1
     244: q+1
     245: q+1
     246: q+1
     247: q+1
     248: q+1
     249: q+1
     250: q+1
     251: q+1
     252: q+1
     253: q+1
     254: q+1
     255: q+1
     256: 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
     274: 1
     275: 1
     276: 1
     277: 1
     278: 1
     279: q+1
     280: q+1
     281: q+1
     282: q+1
     283: q+1
     284: 1
     285: 1
     286: 1
     287: 1
     288: 1
     289: 1
     290: 1
     291: 1
     292: 1
     293: 1
     294: q+1
     295: q+1
     296: q+1
     297: q+1
     298: q+1
     299: 1
     300: 1
     301: 1
     302: q+1
     303: q+1
     304: q+1
     305: q+1
     306: q+1
     307: q+1
     308: q+1
     309: q+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
     328: 1
     329: 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
     346: 1
     347: q+1
     348: q+1
     349: 1
     350: 1
     351: 1
     352: 1
     353: 1
     354: q+1
     355: q+1
     356: q+1
     357: q+1
     358: q+1
     359: 1
     360: 1
     361: 1
     362: 1
     363: 1
     364: 1
     365: 1
     366: 1
     367: 1
     368: 1
     369: 1
     370: 1
     371: 1
     372: 1
     373: 1
     374: 1
     375: 1
     376: 1
     377: 1
     378: 1
     379: 1
     380: 1
     385: 1
     386: 1
     387: 1
     388: 1
     389: 1
     390: 1
     391: 1
     392: 1
     393: 1
     394: 1
     395: 1
     396: 1
     397: 1
     398: 1
     399: 1
     400: 1
     401: 1
     402: 1
     403: q+1
     404: 1
     405: 1
     406: 1
     407: 1
     408: 1
     409: 1
     410: 1
     411: q+1
     412: q+1
     413: 1
     414: 1
     415: 1
     416: 1
     417: 1
     418: 1
     419: 1
     420: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     426: 1
     427: 1
     428: 1
     429: 1
     430: 1
     431: 1
     438: 1
     439: 1
     440: 1
     441: 1
     442: 1
     443: 1
     444: 1
     445: 1
     446: 1
     447: 1
     448: 1
     449: 1
     450: 1
     451: 1
     452: 1
     453: 1
     454: 1
     455: 1
     456: 1
     457: 1
     458: 1
     459: 1
     460: q+1
     461: 1
     462: 1
     463: 1
     464: 1
     465: 1
     466: 1
     467: 1
     468: 1
     469: 1
     470: 1
     471: 1
     473: 1
     474: 1
     475: 1
     484: 1
     485: 1
     486: 1
     487: 1
     488: 1
     489: 1
     490: 1
     491: 1
     492: 1
     493: 1
     494: 1
     495: 1
     496: 1
     497: 1
     498: 1
     499: 1
     500: 1
     501: 1
     502: 1
     503: 1
     504: 1
     505: 1
     506: 1
     507: 1
     508: 1
     509: 1
     510: 1
     511: 1
     512: 1
     513: 1
     514: 1
     515: 1
     518: 1
     528: 1
     529: 1
     530: 1
     531: 1
     532: 1
     533: 1
     534: 1
     535: 1
     536: 1
     537: 1
     538: 1
     539: 1
     540: 1
     541: 1
     542: 1
     543: 1
     544: 1
     545: 1
     546: 1
     547: 1
     548: 1
     549: 1
     563: 1
     564: 1
     565: 1
     566: 1
     567: 1
     568: 1
     569: 1
     570: 1
     571: 1
     572: 1
     573: 1
     574: 1
     575: 1
     576: 1
     577: 1
     578: 1
     579: 1
     580: 1
     594: 1
     595: 1
     596: 1
     598: 1
     599: 1
     600: 1
     601: 1
     614: 1
     617: 1
     618: 1
     631: 1

632:   0: q^2+q+1
       1: q^2+q+1
       2: q^2+q+1
       3: q+1
       4: q^2+q+1
       5: q^2+q+1
       6: q+1
       7: q^2+q+1
       8: q^2+q+1
       9: 1
      10: q+1
      11: q^2+q+1
      12: q+1
      13: q^3+q^2+q+1
      14: q^6+1
      15: 1
      16: q+1
      17: q^6+1
      18: q+1
      19: q^6+1
      20: q^6+1
      21: 1
      22: 1
      23: 1
      24: 1
      25: 1
      26: q^2+q+1
      27: q+1
      28: q^2+q+1
      29: q+1
      30: q^6+1
      31: q^2+q+1
      32: q+1
      33: q^2+q+1
      34: q+1
      35: q^6+1
      36: q^2+q+1
      37: q^2+q+1
      38: q+1
      39: q+1
      40: q^6+1
      41: q+1
      42: q+1
      43: q+1
      44: q^2+q+1
      45: 1
      46: q^2+q+1
      47: q^2+q+1
      48: q^2+q+1
      49: q^2+q+1
      50: 1
      51: 1
      52: 1
      53: q+1
      54: 1
      55: q+1
      56: q+1
      57: 1
      58: q^2+q+1
      59: q^2+q+1
      60: q^2+q+1
      61: 1
      62: 1
      63: 1
      64: 1
      65: 1
      66: q^2+q+1
      67: q+1
      68: q^2+q+1
      69: q+1
      70: q^6+1
      71: q^2+q+1
      72: q^2+q+1
      73: q+1
      74: q+1
      75: q^6+1
      76: q+1
      77: q+1
      78: q^2+q+1
      79: q+1
      80: 1
      81: q+1
      82: q+1
      83: q^2+q+1
      84: q+1
      85: 1
      86: q^2+q+1
      87: q^2+q+1
      88: q^2+q+1
      89: q^2+q+1
      90: 1
      91: 1
      92: q+1
      93: 1
      94: 1
      95: q+1
      96: 1
      97: q+1
      98: 1
      99: q+1
     100: q+1
     101: 1
     102: q^2+q+1
     103: q^2+q+1
     104: 1
     105: q+1
     106: q+1
     107: 1
     108: q^2+q+1
     109: q^2+q+1
     110: q^2+q+1
     111: 1
     112: 1
     113: 1
     114: 1
     115: 1
     116: q^2+q+1
     117: q^2+q+1
     118: q+1
     119: q+1
     120: q^6+1
     121: q+1
     122: q+1
     123: q^2+q+1
     124: q+1
     125: 1
     126: q+1
     127: q+1
     128: q^2+q+1
     129: q+1
     130: 1
     131: q+1
     132: q+1
     133: q^2+q+1
     134: q+1
     135: 1
     136: 1
     137: 1
     138: 1
     139: q+1
     140: q+1
     141: 1
     142: q+1
     143: 1
     144: 1
     145: q+1
     146: q+1
     147: 1
     148: q^2+q+1
     149: q+1
     150: 1
     151: q+1
     152: 1
     153: q+1
     154: q+1
     155: q+1
     156: 1
     157: q+1
     158: q+1
     159: 1
     160: q^2+q+1
     161: q^2+q+1
     162: 1
     163: 1
     164: 1
     165: 1
     166: 1
     167: q+1
     168: q+1
     169: q^2+q+1
     170: q+1
     171: 1
     172: q+1
     173: q+1
     174: q^2+q+1
     175: q+1
     176: 1
     177: q+1
     178: q+1
     179: q^2+q+1
     180: q+1
     181: 1
     182: q+1
     183: q+1
     184: q^2+q+1
     185: q+1
     186: 1
     187: 1
     188: 1
     189: 1
     190: 1
     191: q+1
     192: 1
     193: 1
     194: q+1
     195: q+1
     196: q+1
     197: q+1
     198: 1
     199: q+1
     200: q+1
     201: 1
     202: q+1
     203: 1
     204: 1
     205: q+1
     206: q+1
     207: 1
     208: q+1
     209: q+1
     210: q+1
     211: q+1
     212: 1
     213: q+1
     214: q+1
     215: 1
     216: q+1
     217: 1
     218: q^2+q+1
     219: 1
     220: 1
     221: 1
     222: 1
     223: 1
     224: q+1
     225: q+1
     226: q^2+q+1
     227: q+1
     228: 1
     229: q+1
     230: q+1
     231: q^2+q+1
     232: q+1
     233: 1
     234: q+1
     235: q+1
     236: q^2+q+1
     237: q+1
     238: 1
     239: 1
     240: 1
     241: 1
     242: 1
     243: 1
     244: 1
     245: q+1
     246: 1
     247: q+1
     248: q+1
     249: 1
     250: 1
     251: 1
     252: q+1
     253: q+1
     254: q+1
     255: q+1
     256: q+1
     257: q+1
     258: 1
     259: q+1
     260: q+1
     261: 1
     262: q+1
     263: q+1
     264: q+1
     265: q+1
     266: q+1
     267: 1
     268: q+1
     269: 1
     270: q+1
     271: 1
     272: 1
     273: q+1
     274: q+1
     275: 1
     276: q+1
     277: 1
     278: 1
     279: 1
     280: 1
     281: 1
     282: 1
     283: 1
     284: q+1
     285: q+1
     286: q^2+q+1
     287: q+1
     288: 1
     289: q+1
     290: q+1
     291: q^2+q+1
     292: q+1
     293: 1
     294: 1
     295: 1
     296: 1
     297: q+1
     298: 1
     299: 1
     300: 1
     301: 1
     302: 1
     303: 1
     304: 1
     305: 1
     306: 1
     307: q+1
     308: 1
     309: q+1
     310: q+1
     311: q+1
     312: q+1
     313: q+1
     314: q+1
     315: 1
     316: q+1
     317: 1
     318: q+1
     319: 1
     320: q+1
     321: 1
     322: q+1
     323: 1
     324: 1
     325: 1
     326: q+1
     327: q+1
     328: q+1
     329: q+1
     330: q+1
     331: q+1
     332: q+1
     333: 1
     334: q+1
     335: 1
     336: 1
     337: q+1
     338: q+1
     339: q^2+q+1
     340: q+1
     341: 1
     342: 1
     343: 1
     344: 1
     345: 1
     346: 1
     347: 1
     348: 1
     349: 1
     350: 1
     351: 1
     352: 1
     353: 1
     354: 1
     355: 1
     356: 1
     357: q+1
     358: 1
     359: 1
     360: q+1
     361: q+1
     362: 1
     363: q+1
     364: 1
     365: 1
     366: 1
     367: q+1
     368: q+1
     369: q+1
     370: q+1
     371: q+1
     372: 1
     373: 1
     374: 1
     375: 1
     376: 1
     377: 1
     378: q+1
     379: 1
     380: q+1
     381: q+1
     382: q+1
     383: q+1
     384: q+1
     385: q+1
     386: 1
     387: q+1
     388: 1
     389: 1
     390: q+1
     391: 1
     392: q+1
     393: 1
     394: 1
     395: 1
     396: 1
     397: 1
     398: 1
     399: 1
     400: 1
     401: 1
     402: 1
     403: 1
     404: 1
     405: 1
     406: 1
     407: 1
     408: 1
     409: 1
     410: q+1
     411: 1
     412: 1
     413: 1
     414: q+1
     415: 1
     416: q+1
     417: 1
     418: 1
     419: 1
     420: 1
     421: 1
     422: 1
     423: q+1
     424: 1
     425: q+1
     426: 1
     427: 1
     428: 1
     429: 1
     430: q+1
     431: 1
     432: 1
     433: q+1
     434: 1
     435: q+1
     436: q+1
     437: q+1
     438: q+1
     439: 1
     440: q+1
     441: 1
     442: 1
     448: 1
     449: 1
     450: 1
     451: 1
     452: 1
     453: 1
     454: 1
     458: 1
     459: q+1
     460: 1
     461: 1
     462: 1
     463: 1
     465: 1
     466: 1
     467: 1
     468: 1
     469: 1
     470: q+1
     471: 1
     472: 1
     473: 1
     474: 1
     475: 1
     476: 1
     477: 1
     478: q+1
     479: q+1
     480: 1
     481: q+1
     482: q+1
     483: 1
     484: q+1
     485: 1
     486: q+1
     487: 1
     488: 1
     494: 1
     495: 1
     496: 1
     499: 1
     500: 1
     502: 1
     503: 1
     506: q+1
     508: 1
     509: 1
     510: 1
     511: 1
     513: 1
     514: 1
     515: 1
     516: 1
     517: 1
     518: 1
     519: 1
     520: 1
     521: 1
     522: 1
     523: q+1
     524: 1
     526: q+1
     527: 1
     534: 1
     538: 1
     539: 1
     543: 1
     544: 1
     545: 1
     547: 1
     549: 1
     550: 1
     551: 1
     552: 1
     553: 1
     554: 1
     555: 1
     556: 1
     557: 1
     559: q+1
     561: 1
     562: 1
     572: 1
     576: 1
     577: 1
     581: 1
     582: 1
     583: 1
     584: 1
     586: 1
     587: 1
     588: 1
     590: 1
     593: 1
     598: 1
     602: 1
     603: 1
     604: 1
     605: 1
     608: 1
     609: 1
     619: 1
     620: 1
     624: 1
     632: 1

633:   0: q^3+2q^2+2q+1
       1: q^3+2q^2+2q+1
       2: q^3+2q^2+2q+1
       3: q^2+2q+1
       4: q^3+2q^2+2q+1
       5: q^2+q+1
       6: q^2+2q+1
       7: q^3+2q^2+2q+1
       8: q^3+2q^2+2q+1
       9: q^2+q+1
      10: q+1
      11: q^2+q+1
      12: q^2+2q+1
      13: q^4+2q^3+2q^2+2q+1
      14: q+1
      15: q^2+q+1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      21: q^2+q+1
      22: q+1
      23: q^2+q+1
      24: q+1
      25: q+1
      26: q^2+q+1
      27: q+1
      28: q^2+q+1
      29: q+1
      31: q^3+2q^2+2q+1
      32: q^2+2q+1
      33: q^3+2q^2+2q+1
      34: q+1
      35: q+1
      36: q^3+2q^2+2q+1
      37: q^3+2q^2+2q+1
      38: q^2+2q+1
      39: q+1
      40: q+1
      41: q^2+2q+1
      42: q^2+2q+1
      43: q+1
      44: q^3+2q^2+2q+1
      45: q+1
      46: q^3+2q^2+2q+1
      47: q^3+2q^2+2q+1
      48: q^3+2q^2+2q+1
      49: q^2+q+1
      50: q^2+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+q+1
      58: q^2+q+1
      59: q^3+2q^2+2q+1
      60: q^3+2q^2+2q+1
      61: q^2+q+1
      62: q+1
      63: q^2+q+1
      64: q+1
      66: q^2+q+1
      67: q+1
      68: q^2+q+1
      69: q+1
      71: q^3+2q^2+2q+1
      72: q^3+2q^2+2q+1
      73: q^2+2q+1
      74: q+1
      75: q+1
      76: q^2+2q+1
      77: q^2+2q+1
      78: q^3+2q^2+2q+1
      79: q+1
      80: q+1
      81: q^2+2q+1
      82: q^2+2q+1
      83: q^3+2q^2+2q+1
      84: q+1
      85: q+1
      86: q^3+2q^2+2q+1
      87: q^3+2q^2+2q+1
      88: q^3+2q^2+2q+1
      89: q^2+q+1
      90: q^2+q+1
      92: q+1
      93: q+1
      94: q+1
      95: q^2+2q+1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     100: q^2+2q+1
     101: q^2+q+1
     102: q^2+q+1
     103: q^3+2q^2+2q+1
     104: q+1
     105: q+1
     106: q^2+2q+1
     107: q^2+q+1
     108: q^2+q+1
     109: q^3+2q^2+2q+1
     110: q^3+2q^2+2q+1
     111: q^2+q+1
     112: q+1
     113: q^2+q+1
     114: q+1
     116: q^2+q+1
     117: q^2+q+1
     118: q+1
     119: q+1
     121: q^2+2q+1
     122: q^2+2q+1
     123: q^3+2q^2+2q+1
     124: q+1
     125: q+1
     126: q^2+2q+1
     127: q^2+2q+1
     128: q^3+2q^2+2q+1
     129: q+1
     130: q+1
     131: q^2+2q+1
     132: q^2+2q+1
     133: q^3+2q^2+2q+1
     134: q+1
     135: q+1
     137: q+1
     139: q+1
     140: q+1
     141: q+1
     142: q+1
     143: q+1
     144: q+1
     145: q^2+2q+1
     146: q^2+2q+1
     147: q^2+q+1
     148: q^2+q+1
     149: q^2+2q+1
     150: q+1
     151: q+1
     152: q+1
     153: q+1
     154: q^2+2q+1
     155: q^2+2q+1
     156: q+1
     157: q+1
     158: q^2+2q+1
     159: q^2+q+1
     160: q^2+q+1
     161: q^3+2q^2+2q+1
     162: q^2+q+1
     163: q^2+q+1
     164: q+1
     165: q+1
     167: q+1
     168: q+1
     169: q^2+q+1
     170: q+1
     172: q^2+2q+1
     173: q^2+2q+1
     174: q^3+2q^2+2q+1
     175: q+1
     176: q+1
     177: q^2+2q+1
     178: q^2+2q+1
     179: q^3+2q^2+2q+1
     180: q+1
     181: q+1
     182: q^2+2q+1
     183: q^2+2q+1
     184: q^3+2q^2+2q+1
     185: q+1
     186: q+1
     189: q+1
     190: q+1
     191: q+1
     192: q+1
     194: q+1
     195: q+1
     196: q+1
     197: q^2+2q+1
     198: q^2+q+1
     199: q+1
     200: q+1
     201: q+1
     202: q^2+2q+1
     203: q+1
     204: q+1
     205: q^2+2q+1
     206: q^2+2q+1
     207: q+1
     208: q+1
     209: q^2+2q+1
     210: q^2+2q+1
     211: q^2+2q+1
     212: q+1
     213: q+1
     214: q^2+2q+1
     215: q+1
     216: q+1
     217: q^2+q+1
     218: q^2+q+1
     219: q+1
     220: q+1
     221: q^2+q+1
     222: q+1
     224: q+1
     225: q+1
     226: q^2+q+1
     227: q+1
     229: q^2+2q+1
     230: q^2+2q+1
     231: q^3+2q^2+2q+1
     232: q+1
     233: q+1
     234: q^2+2q+1
     235: q^2+2q+1
     236: q^3+2q^2+2q+1
     237: q+1
     238: q+1
     240: q+1
     243: q+1
     244: q+1
     245: q+1
     246: q+1
     247: q+1
     248: q+1
     249: q+1
     250: q+1
     252: q+1
     253: q+1
     254: q+1
     255: q^2+2q+1
     256: q^2+2q+1
     257: q^2+2q+1
     258: q+1
     259: q+1
     260: q^2+2q+1
     261: q+1
     262: q+1
     263: q^2+2q+1
     264: q+1
     265: q+1
     266: q+1
     267: q+1
     268: q^2+2q+1
     269: q+1
     270: q^2+2q+1
     271: q+1
     272: q^2+q+1
     273: q^2+2q+1
     274: q^2+2q+1
     275: q+1
     276: q^2+2q+1
     277: 1
     278: 1
     279: q+1
     280: q+1
     281: q^2+q+1
     282: q+1
     284: q^2+2q+1
     285: q^2+2q+1
     286: q^3+2q^2+2q+1
     287: q+1
     288: q+1
     289: q+1
     290: q+1
     291: q^2+q+1
     292: q+1
     296: q+1
     297: q+1
     298: q+1
     299: q+1
     300: 1
     301: 1
     302: q+1
     305: q+1
     306: q+1
     307: q+1
     308: q+1
     309: q+1
     310: q^2+2q+1
     311: q^2+2q+1
     312: q+1
     313: q+1
     314: q+1
     315: q+1
     316: q^2+2q+1
     317: q+1
     318: q^2+2q+1
     319: q+1
     320: q+1
     321: q+1
     322: q+1
     323: q+1
     324: q+1
     326: q+1
     327: q+1
     328: q+1
     329: q^2+2q+1
     330: q^2+2q+1
     331: q^2+2q+1
     332: q^2+2q+1
     333: q+1
     334: q^2+2q+1
     335: 1
     336: 1
     337: q+1
     338: q+1
     339: q^2+q+1
     340: q+1
     342: q+1
     343: q+1
     344: q^2+q+1
     345: q+1
     348: q+1
     349: 1
     350: 1
     351: 1
     352: q+1
     353: 1
     356: q+1
     357: q+1
     358: q+1
     359: q+1
     360: q^2+2q+1
     361: q+1
     362: q+1
     363: q+1
     364: q+1
     365: q+1
     367: q+1
     368: q+1
     369: q+1
     370: q^2+2q+1
     371: q+1
     372: q+1
     373: q+1
     376: q+1
     377: q+1
     378: q+1
     379: q+1
     380: q+1
     381: q^2+2q+1
     382: q+1
     383: q^2+2q+1
     384: q^2+2q+1
     385: q^2+2q+1
     386: q+1
     387: q^2+2q+1
     388: 1
     389: 1
     390: q+1
     391: 1
     392: q+1
     393: 1
     395: q+1
     396: q+1
     397: q^2+q+1
     398: q+1
     400: 1
     401: 1
     402: q+1
     404: 1
     405: 1
     406: 1
     408: 1
     409: 1
     410: q^2+2q+1
     412: q+1
     413: 1
     414: q+1
     415: q+1
     416: q+1
     417: q+1
     418: q+1
     421: q+1
     422: q+1
     423: q+1
     424: q+1
     425: q+1
     426: q+1
     429: q+1
     430: q+1
     431: q+1
     432: q+1
     433: q+1
     434: q+1
     435: q^2+2q+1
     436: q^2+2q+1
     437: q+1
     438: q+1
     439: 1
     440: q+1
     441: 1
     443: q+1
     444: 1
     445: q+1
     446: 1
     448: 1
     450: 1
     451: 1
     452: 1
     453: 1
     456: 1
     457: 1
     458: 1
     459: q+1
     461: q+1
     462: 1
     463: 1
     464: q+1
     465: 1
     466: q+1
     469: q+1
     470: q+1
     471: q+1
     472: q+1
     475: q+1
     476: 1
     477: q+1
     478: q^2+2q+1
     479: q+1
     480: q+1
     481: q+1
     482: q+1
     483: q+1
     484: q+1
     485: 1
     486: q+1
     487: 1
     489: q+1
     490: 1
     491: q+1
     492: 1
     495: 1
     498: 1
     499: 1
     500: 1
     501: 1
     502: 1
     505: 1
     506: q+1
     507: q+1
     508: 1
     509: 1
     510: 1
     511: 1
     512: 1
     515: q+1
     516: 1
     517: q+1
     519: q+1
     520: 1
     521: 1
     522: 1
     523: q+1
     524: q+1
     525: q+1
     526: q+1
     527: q+1
     528: q+1
     529: 1
     530: q+1
     531: 1
     535: 1
     537: 1
     538: 1
     540: 1
     542: q+1
     543: 1
     544: 1
     545: 1
     546: 1
     548: 1
     550: 1
     551: 1
     552: q+1
     553: 1
     554: 1
     555: 1
     556: 1
     557: 1
     558: 1
     559: q+1
     560: q+1
     562: q+1
     573: 1
     576: 1
     578: 1
     579: 1
     581: 1
     582: 1
     583: 1
     584: 1
     585: 1
     586: 1
     587: 1
     588: 1
     589: 1
     591: 1
     592: q+1
     599: 1
     602: 1
     603: 1
     604: 1
     606: 1
     607: 1
     608: 1
     610: 1
     611: 1
     619: 1
     621: 1
     622: 1
     625: 1
     633: 1

634:   0: q^3+2q^2+2q+1
       1: q^2+2q+1
       2: q^3+2q^2+2q+1
       3: q^2+2q+1
       4: q^3+2q^2+2q+1
       5: q^2+2q+1
       6: q^5+2q+1
       7: q^2+2q+1
       8: q^3+2q^2+2q+1
       9: q^2+2q+1
      10: q^5+2q+1
      11: q^2+2q+1
      12: q^5+2q+1
      13: q^4+2q^3+2q^2+2q+1
      14: q^5+2q+1
      15: q^2+2q+1
      16: q^5+2q+1
      17: q^5+2q+1
      18: q^6+q^5+q+1
      19: q^6+q^5+q+1
      20: q^6+q^5+q+1
      21: q^2+2q+1
      22: q^5+2q+1
      23: q^2+2q+1
      24: q^5+2q+1
      25: q^6+q^5+q+1
      26: q^2+2q+1
      27: q^5+2q+1
      28: q^2+2q+1
      29: q^5+2q+1
      30: q^6+q^5+q+1
      31: q^2+2q+1
      32: 2q+1
      33: q^2+2q+1
      34: q^5+q+1
      35: q^5+q+1
      36: q^3+2q^2+2q+1
      37: q^3+2q^2+2q+1
      38: q^5+2q+1
      39: q^5+2q+1
      40: q^5+2q+1
      41: q^2+2q+1
      42: 2q+1
      43: 2q+1
      44: q^3+2q^2+2q+1
      45: 2q+1
      46: q^3+2q^2+2q+1
      47: q^2+2q+1
      48: q^3+2q^2+2q+1
      49: q^2+2q+1
      50: q^2+2q+1
      51: q^5+q+1
      52: q^5+2q+1
      53: q^5+2q+1
      54: 2q+1
      55: 2q+1
      56: 2q+1
      57: q^2+2q+1
      58: q^2+2q+1
      59: q^2+2q+1
      60: q^3+2q^2+2q+1
      61: q^2+2q+1
      62: q^5+2q+1
      63: q^2+2q+1
      64: q^5+2q+1
      65: q^6+q^5+q+1
      66: q^2+2q+1
      67: 2q+1
      68: q^2+2q+1
      69: q^5+q+1
      70: q^5+q+1
      71: q^2+2q+1
      72: q^2+2q+1
      73: 2q+1
      74: q^5+q+1
      75: q^5+q+1
      76: q^2+2q+1
      77: 2q+1
      78: q^3+2q^2+2q+1
      79: 2q+1
      80: 2q+1
      81: q^2+2q+1
      82: 2q+1
      83: q^3+2q^2+2q+1
      84: 2q+1
      85: 2q+1
      86: q^3+2q^2+2q+1
      87: q^2+2q+1
      88: q^3+2q^2+2q+1
      89: q^2+2q+1
      90: q^2+2q+1
      91: q^5+q+1
      92: q+1
      93: q^5+2q+1
      94: q^5+q+1
      95: 2q+1
      96: 2q+1
      97: 2q+1
      98: 2q+1
      99: 2q+1
     100: q^2+2q+1
     101: q^2+2q+1
     102: q^2+2q+1
     103: q^2+2q+1
     104: 2q+1
     105: 2q+1
     106: 2q+1
     107: q^2+2q+1
     108: q^2+2q+1
     109: q^2+2q+1
     110: q^3+2q^2+2q+1
     111: q^2+2q+1
     112: 2q+1
     113: q^2+2q+1
     114: q^5+q+1
     115: q^5+q+1
     116: q^2+2q+1
     117: q^2+2q+1
     118: 2q+1
     119: q^5+q+1
     120: q^5+q+1
     121: 2q+1
     122: 2q+1
     123: q^2+2q+1
     124: q+1
     125: q+1
     126: q^2+2q+1
     127: 2q+1
     128: q^3+2q^2+2q+1
     129: 2q+1
     130: 2q+1
     131: q^2+2q+1
     132: 2q+1
     133: q^3+2q^2+2q+1
     134: 2q+1
     135: 2q+1
     136: q^5+q+1
     137: q+1
     138: q^5+q+1
     139: q+1
     140: 2q+1
     141: 2q+1
     142: q+1
     143: q+1
     144: 2q+1
     145: 2q+1
     146: 2q+1
     147: q^2+2q+1
     148: q^2+2q+1
     149: 2q+1
     150: 2q+1
     151: 2q+1
     152: 2q+1
     153: 2q+1
     154: q^2+2q+1
     155: q^2+2q+1
     156: 2q+1
     157: 2q+1
     158: 2q+1
     159: q^2+2q+1
     160: q^2+2q+1
     161: q^2+2q+1
     162: q^2+2q+1
     163: q^2+2q+1
     164: 2q+1
     165: q^5+q+1
     166: q^5+q+1
     167: 2q+1
     168: 2q+1
     169: q^2+2q+1
     170: q+1
     171: q+1
     172: 2q+1
     173: 2q+1
     174: q^2+2q+1
     175: q+1
     176: q+1
     177: q^2+2q+1
     178: 2q+1
     179: q^3+2q^2+2q+1
     180: 2q+1
     181: 2q+1
     182: q^2+2q+1
     183: 2q+1
     184: q^3+2q^2+2q+1
     185: 2q+1
     186: 2q+1
     187: q+1
     188: q^5+q+1
     189: q+1
     190: 2q+1
     191: q+1
     192: q+1
     193: q+1
     194: q+1
     195: 2q+1
     196: 2q+1
     197: 2q+1
     198: q^2+2q+1
     199: 2q+1
     200: q+1
     201: q+1
     202: 2q+1
     203: 2q+1
     204: 2q+1
     205: 2q+1
     206: q^2+2q+1
     207: 2q+1
     208: 2q+1
     209: 2q+1
     210: 2q+1
     211: 2q+1
     212: 2q+1
     213: 2q+1
     214: q^2+2q+1
     215: 2q+1
     216: 2q+1
     217: q^2+2q+1
     218: q^2+2q+1
     219: 2q+1
     220: 2q+1
     221: q^2+2q+1
     222: q+1
     223: q+1
     224: 2q+1
     225: 2q+1
     226: q^2+2q+1
     227: q+1
     228: q+1
     229: q^2+2q+1
     230: 2q+1
     231: q^3+2q^2+2q+1
     232: 2q+1
     233: 2q+1
     234: 2q+1
     235: 2q+1
     236: q^2+2q+1
     237: q+1
     238: q+1
     239: q+1
     240: q+1
     241: q+1
     242: q+1
     243: q+1
     244: 2q+1
     245: q+1
     246: 2q+1
     247: 2q+1
     248: q+1
     249: 2q+1
     250: q+1
     251: q+1
     252: q+1
     253: 2q+1
     254: 2q+1
     255: 2q+1
     256: 2q+1
     257: 2q+1
     258: 2q+1
     259: 2q+1
     260: q^2+2q+1
     261: 2q+1
     262: 2q+1
     263: 2q+1
     264: 2q+1
     265: 2q+1
     266: q+1
     267: q+1
     268: 2q+1
     269: 2q+1
     270: 2q+1
     271: 2q+1
     272: q^2+2q+1
     273: q^2+2q+1
     274: q^2+2q+1
     275: q+1
     276: q^2+2q+1
     277: q+1
     278: q+1
     279: 2q+1
     280: 2q+1
     281: q^2+2q+1
     282: q+1
     283: q+1
     284: 2q+1
     285: 2q+1
     286: q^2+2q+1
     287: q+1
     288: q+1
     289: 2q+1
     290: 2q+1
     291: q^2+2q+1
     292: q+1
     293: q+1
     294: q+1
     295: q+1
     296: q+1
     297: q+1
     298: 2q+1
     299: q+1
     300: q+1
     301: q+1
     302: q+1
     303: q+1
     304: q+1
     305: q+1
     306: 2q+1
     307: q+1
     308: 2q+1
     309: 2q+1
     310: q^2+2q+1
     311: 2q+1
     312: 2q+1
     313: 2q+1
     314: q+1
     315: q+1
     316: 2q+1
     317: 2q+1
     318: 2q+1
     319: 2q+1
     320: 2q+1
     321: 2q+1
     322: q+1
     323: 2q+1
     324: q+1
     325: q+1
     326: q+1
     327: 2q+1
     328: 2q+1
     329: 2q+1
     330: 2q+1
     331: q^2+2q+1
     332: q+1
     333: 1
     334: q+1
     335: 1
     336: 1
     337: 2q+1
     338: 2q+1
     339: q^2+2q+1
     340: q+1
     341: q+1
     342: 2q+1
     343: 2q+1
     344: q^2+2q+1
     345: q+1
     346: q+1
     347: q+1
     348: q+1
     349: q+1
     350: 1
     351: 1
     352: 1
     353: q+1
     354: q+1
     355: q+1
     356: q+1
     357: q+1
     358: 2q+1
     359: q+1
     360: q+1
     361: 2q+1
     362: 2q+1
     363: q+1
     364: 2q+1
     365: q+1
     366: q+1
     367: q+1
     368: 2q+1
     369: 2q+1
     370: 2q+1
     371: q+1
     372: 2q+1
     373: q+1
     374: q+1
     375: q+1
     376: q+1
     377: 2q+1
     378: q+1
     379: 2q+1
     380: 2q+1
     381: 2q+1
     382: 2q+1
     383: q^2+2q+1
     384: 2q+1
     385: q+1
     386: 1
     387: q+1
     388: 1
     389: 1
     390: q+1
     391: 1
     392: q+1
     393: 1
     394: 1
     395: 2q+1
     396: 2q+1
     397: q^2+2q+1
     398: q+1
     399: q+1
     400: 1
     401: 1
     402: 1
     403: q+1
     404: 1
     405: q+1
     406: 1
     407: 1
     408: 1
     409: 1
     410: q+1
     411: q+1
     412: q+1
     413: q+1
     414: q+1
     415: 1
     416: q+1
     417: 2q+1
     418: q+1
     419: q+1
     420: q+1
     421: q+1
     422: 2q+1
     423: q+1
     424: 2q+1
     425: 2q+1
     426: q+1
     427: q+1
     428: q+1
     429: q+1
     430: q+1
     431: 2q+1
     432: q+1
     433: 2q+1
     434: 2q+1
     435: q+1
     436: 2q+1
     437: 2q+1
     438: q+1
     439: 1
     440: q+1
     441: 1
     442: 1
     443: q+1
     444: 1
     445: q+1
     446: 1
     447: 1
     448: 1
     449: 1
     450: 1
     451: 1
     452: 1
     453: 1
     454: 1
     455: 1
     456: 1
     457: 1
     458: 1
     459: q+1
     460: q+1
     461: 1
     462: 1
     463: q+1
     464: q+1
     465: 1
     466: q+1
     467: q+1
     468: q+1
     469: q+1
     470: q+1
     471: 2q+1
     472: q+1
     473: q+1
     474: q+1
     475: q+1
     476: q+1
     477: 1
     478: q+1
     479: q+1
     480: 2q+1
     481: q+1
     482: 2q+1
     483: 2q+1
     489: q+1
     490: 1
     491: q+1
     492: 1
     493: 1
     496: 1
     497: 1
     498: 1
     500: 1
     501: 1
     502: 1
     503: 1
     504: 1
     505: 1
     507: q+1
     508: 1
     509: 1
     510: 1
     511: 1
     512: 1
     513: q+1
     514: q+1
     515: q+1
     516: q+1
     517: 1
     518: q+1
     519: 1
     520: 1
     521: q+1
     522: 1
     523: q+1
     524: q+1
     525: q+1
     526: q+1
     527: 2q+1
     536: 1
     539: 1
     540: 1
     541: 1
     543: 1
     544: 1
     546: 1
     547: 1
     548: 1
     549: q+1
     550: 1
     551: q+1
     552: 1
     553: 1
     554: 1
     555: 1
     556: 1
     557: 1
     558: 1
     560: q+1
     561: q+1
     562: q+1
     574: 1
     577: 1
     578: 1
     580: 1
     581: 1
     582: 1
     583: 1
     584: 1
     585: 1
     586: 1
     587: 1
     589: 1
     590: 1
     591: 1
     593: q+1
     600: 1
     602: 1
     603: 1
     605: 1
     606: 1
     607: 1
     609: 1
     610: 1
     612: 1
     620: 1
     621: 1
     623: 1
     626: 1
     634: 1

635:   0: q^2+q+1
       1: q^2+q+1
       2: q^4+q^3+2q^2+q+1
       3: q^2+q+1
       4: q^2+q+1
       5: q^2+q+1
       6: q^2+q+1
       7: q^2+q+1
       8: q^4+q^3+2q^2+q+1
       9: q^2+q+1
      10: q^2+q+1
      11: q^2+q+1
      12: 1
      13: q^4+q^3+2q^2+q+1
      14: q^2+q+1
      15: q^2+q+1
      16: 1
      17: 1
      18: 1
      19: 1
      20: 1
      21: q^2+q+1
      22: q^2+q+1
      23: q^2+q+1
      24: 1
      25: 1
      26: q^2+q+1
      27: q^2+q+1
      28: q^2+q+1
      29: 1
      30: 1
      31: q^2+q+1
      32: q^2+q+1
      33: q^2+q+1
      34: 1
      35: 1
      36: q^2+q+1
      37: q^2+q+1
      38: 1
      39: 1
      40: 1
      41: q^2+q+1
      42: q^2+q+1
      43: q^2+q+1
      44: q^4+q^3+2q^2+q+1
      45: q^2+q+1
      46: q^2+q+1
      47: q^2+q+1
      48: q^4+q^3+2q^2+q+1
      49: q^2+q+1
      50: q^2+q+1
      51: 1
      52: 1
      53: 1
      54: q^2+q+1
      55: q^2+q+1
      56: q^2+q+1
      57: q^2+q+1
      58: q^2+q+1
      59: q^2+q+1
      60: q^2+q+1
      61: q^2+q+1
      62: q^2+q+1
      63: q^2+q+1
      64: 1
      65: 1
      66: q^2+q+1
      67: q^2+q+1
      68: q^2+q+1
      69: 1
      70: 1
      71: q^2+q+1
      72: q^2+q+1
      73: 1
      74: 1
      75: 1
      76: q^2+q+1
      77: 1
      78: q^2+q+1
      79: 1
      80: 1
      81: q^2+q+1
      82: q^2+q+1
      83: q^4+q^3+2q^2+q+1
      84: q^2+q+1
      85: q^2+q+1
      86: q^2+q+1
      87: q^2+q+1
      88: q^4+q^3+2q^2+q+1
      89: q^2+q+1
      90: q^2+q+1
      91: 1
      92: 1
      93: 1
      94: 1
      95: 1
      96: q^2+q+1
      97: q^2+q+1
      98: 1
      99: 1
     100: q^2+q+1
     101: q^2+q+1
     102: q^2+q+1
     103: q^2+q+1
     104: q^2+q+1
     105: q^2+q+1
     106: q^2+q+1
     107: q^2+q+1
     108: q^2+q+1
     109: q^2+q+1
     110: q^2+q+1
     111: q^2+q+1
     112: q^2+q+1
     113: q^2+q+1
     114: 1
     115: 1
     116: q^2+q+1
     117: q^2+q+1
     118: 1
     119: 1
     120: 1
     121: q^2+q+1
     122: 1
     123: q^2+q+1
     124: 1
     125: 1
     126: q^2+q+1
     127: 1
     128: q^2+q+1
     129: 1
     130: 1
     131: q^2+q+1
     132: q^2+q+1
     133: q^4+q^3+2q^2+q+1
     134: q^2+q+1
     135: q^2+q+1
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     141: q^2+q+1
     142: 1
     143: 1
     144: 1
     145: 1
     146: q^2+q+1
     147: q^2+q+1
     148: q^2+q+1
     149: 1
     150: 1
     151: 1
     152: q^2+q+1
     153: q^2+q+1
     154: q^2+q+1
     155: q^2+q+1
     156: q^2+q+1
     157: q^2+q+1
     158: q^2+q+1
     159: q^2+q+1
     160: q^2+q+1
     161: q^2+q+1
     162: q^2+q+1
     163: q^2+q+1
     164: 1
     165: 1
     166: 1
     167: q^2+q+1
     168: 1
     169: q^2+q+1
     170: 1
     171: 1
     172: q^2+q+1
     173: 1
     174: q^2+q+1
     175: 1
     176: 1
     177: q^2+q+1
     178: q^2+q+1
     179: q^4+q^3+2q^2+q+1
     180: q^2+q+1
     181: q^2+q+1
     182: q^2+q+1
     183: 1
     184: q^2+q+1
     185: 1
     186: 1
     187: 1
     188: 1
     189: 1
     190: 1
     191: 1
     192: 1
     193: 1
     194: 1
     195: 1
     196: q^2+q+1
     197: 1
     198: q^2+q+1
     199: 1
     200: 1
     201: 1
     202: 1
     203: 1
     204: q^2+q+1
     205: q^2+q+1
     206: q^2+q+1
     207: q^2+q+1
     208: q^2+q+1
     209: q^2+q+1
     210: q^2+q+1
     211: 1
     212: 1
     213: 1
     214: q^2+q+1
     215: q^2+q+1
     216: q^2+q+1
     217: q^2+q+1
     218: q^2+q+1
     219: q^2+q+1
     220: 1
     221: q^2+q+1
     222: 1
     223: 1
     224: q^2+q+1
     225: 1
     226: q^2+q+1
     227: 1
     228: 1
     229: q^2+q+1
     230: 1
     231: q^2+q+1
     232: 1
     233: 1
     234: q^2+q+1
     235: 1
     236: q^2+q+1
     237: 1
     238: 1
     239: 1
     240: 1
     241: 1
     242: 1
     243: 1
     244: 1
     245: 1
     246: q^2+q+1
     247: 1
     248: 1
     249: 1
     250: 1
     251: 1
     252: 1
     253: 1
     254: q^2+q+1
     255: 1
     256: q^2+q+1
     257: 1
     258: 1
     259: 1
     260: q^2+q+1
     261: q^2+q+1
     262: q^2+q+1
     263: 1
     264: q^2+q+1
     265: 1
     266: 1
     267: 1
     268: 1
     269: 1
     270: q^2+q+1
     271: q^2+q+1
     272: q^2+q+1
     273: q^2+q+1
     274: q^2+q+1
     275: 1
     276: q^2+q+1
     277: 1
     278: 1
     279: q^2+q+1
     280: 1
     281: q^2+q+1
     282: 1
     283: 1
     284: q^2+q+1
     285: 1
     286: q^2+q+1
     287: 1
     288: 1
     289: q^2+q+1
     290: 1
     291: q^2+q+1
     292: 1
     293: 1
     294: 1
     295: 1
     296: 1
     297: 1
     298: 1
     299: 1
     300: 1
     301: 1
     302: 1
     303: 1
     304: 1
     305: 1
     306: 1
     307: 1
     308: q^2+q+1
     309: 1
     310: q^2+q+1
     311: 1
     312: q^2+q+1
     313: 1
     314: 1
     315: 1
     316: 1
     317: 1
     318: q^2+q+1
     319: q^2+q+1
     320: 1
     321: q^2+q+1
     322: 1
     323: 1
     324: 1
     325: 1
     326: 1
     327: 1
     328: q^2+q+1
     329: 1
     330: q^2+q+1
     331: q^2+q+1
     332: q^2+q+1
     333: 1
     334: q^2+q+1
     335: 1
     336: 1
     337: q^2+q+1
     338: 1
     339: q^2+q+1
     340: 1
     341: 1
     342: q^2+q+1
     343: 1
     344: q^2+q+1
     345: 1
     346: 1
     347: 1
     348: 1
     349: 1
     350: 1
     351: 1
     352: 1
     353: 1
     354: 1
     355: 1
     356: 1
     357: 1
     358: 1
     359: 1
     360: q^2+q+1
     361: 1
     362: q^2+q+1
     363: 1
     364: 1
     365: 1
     366: 1
     367: 1
     368: 1
     369: q^2+q+1
     370: 1
     371: 1
     372: 1
     373: 1
     374: 1
     375: 1
     376: 1
     377: 1
     378: 1
     379: q^2+q+1
     380: 1
     381: 1
     382: q^2+q+1
     383: q^2+q+1
     384: q^2+q+1
     385: 1
     386: 1
     387: 1
     390: q^2+q+1
     391: 1
     392: q^2+q+1
     393: 1
     394: 1
     395: q^2+q+1
     396: 1
     397: q^2+q+1
     398: 1
     399: 1
     402: 1
     403: 1
     404: 1
     405: 1
     406: 1
     407: 1
     408: 1
     409: 1
     410: 1
     411: 1
     412: 1
     413: 1
     414: q^2+q+1
     415: 1
     416: 1
     417: 1
     418: 1
     419: 1
     420: 1
     421: 1
     422: 1
     423: 1
     424: q^2+q+1
     425: 1
     426: 1
     427: 1
     428: 1
     429: 1
     430: 1
     431: 1
     432: 1
     433: 1
     434: q^2+q+1
     435: q^2+q+1
     436: 1
     437: q^2+q+1
     438: 1
     439: 1
     440: 1
     443: q^2+q+1
     444: 1
     445: q^2+q+1
     446: 1
     447: 1
     452: 1
     453: 1
     454: 1
     455: 1
     456: 1
     457: 1
     458: 1
     459: 1
     460: 1
     461: 1
     462: 1
     463: 1
     464: q^2+q+1
     465: 1
     466: 1
     467: 1
     468: 1
     469: 1
     470: 1
     471: 1
     472: 1
     473: 1
     474: 1
     475: 1
     476: 1
     477: 1
     478: 1
     479: 1
     480: 1
     481: q^2+q+1
     482: 1
     483: q^2+q+1
     484: 1
     485: 1
     486: 1
     489: 1
     490: 1
     491: 1
     499: 1
     501: 1
     503: 1
     504: 1
     505: 1
     506: 1
     507: 1
     509: 1
     510: 1
     511: 1
     512: 1
     513: 1
     514: 1
     515: 1
     516: 1
     517: 1
     518: 1
     519: 1
     520: 1
     521: 1
     522: 1
     523: 1
     524: 1
     525: q^2+q+1
     526: 1
     527: 1
     528: 1
     529: 1
     530: 1
     537: 1
     541: 1
     542: 1
     545: 1
     546: 1
     547: 1
     548: 1
     549: 1
     550: 1
     551: 1
     552: 1
     553: 1
     555: 1
     556: 1
     557: 1
     558: 1
     559: 1
     560: 1
     561: 1
     562: 1
     563: 1
     564: 1
     565: 1
     571: 1
     575: 1
     579: 1
     580: 1
     582: 1
     583: 1
     584: 1
     585: 1
     588: 1
     589: 1
     590: 1
     591: 1
     592: 1
     593: 1
     601: 1
     604: 1
     605: 1
     606: 1
     607: 1
     611: 1
     612: 1
     613: 1
     622: 1
     623: 1
     627: 1
     635: 1

636:   0: q^2+2q+1
       1: q^2+2q+1
       2: q^2+2q+1
       3: q^2+2q+1
       4: q^3+2q^2+2q+1
       5: q^5+2q+1
       6: q^2+2q+1
       7: q^3+2q^2+2q+1
       8: q^3+2q^2+2q+1
       9: q^5+2q+1
      10: q^5+2q+1
      11: q^2+2q+1
      12: q^2+2q+1
      13: q^3+2q^2+2q+1
      14: q^5+2q+1
      15: q^2+2q+1
      16: q^5+2q+1
      17: q^5+2q+1
      18: q^5+2q+1
      19: q^5+2q+1
      20: q^6+q^5+q+1
      21: q^5+2q+1
      22: q^5+2q+1
      23: q^2+2q+1
      24: q^5+2q+1
      25: q^5+2q+1
      26: 2q+1
      27: 2q+1
      28: q^2+2q+1
      29: 2q+1
      30: q^5+q+1
      31: q^2+2q+1
      32: q^2+2q+1
      33: q^3+2q^2+2q+1
      34: q^5+2q+1
      35: q^5+2q+1
      36: q^2+2q+1
      37: q^3+2q^2+2q+1
      38: q^2+2q+1
      39: q^5+2q+1
      40: q^5+2q+1
      41: q^2+2q+1
      42: q^2+2q+1
      43: q^5+2q+1
      44: q^3+2q^2+2q+1
      45: q^5+2q+1
      46: q^2+2q+1
      47: q^2+2q+1
      48: q^2+2q+1
      49: 2q+1
      50: 2q+1
      51: q^5+2q+1
      52: q^5+2q+1
      53: 2q+1
      54: q^5+2q+1
      55: 2q+1
      56: q^2+2q+1
      57: 2q+1
      58: 2q+1
      59: q^2+2q+1
      60: q^2+2q+1
      61: 2q+1
      62: 2q+1
      63: q^2+2q+1
      64: 2q+1
      65: q^5+q+1
      66: 2q+1
      67: 2q+1
      68: q^2+2q+1
      69: 2q+1
      70: q^5+q+1
      71: q^2+2q+1
      72: q^3+2q^2+2q+1
      73: q^2+2q+1
      74: q^5+2q+1
      75: q^5+2q+1
      76: q^2+2q+1
      77: q^2+2q+1
      78: q^3+2q^2+2q+1
      79: q^5+2q+1
      80: q^5+2q+1
      81: q^2+2q+1
      82: q^2+2q+1
      83: q^2+2q+1
      84: 2q+1
      85: 2q+1
      86: q^2+2q+1
      87: q^2+2q+1
      88: q^2+2q+1
      89: 2q+1
      90: 2q+1
      91: q+1
      92: 2q+1
      93: 2q+1
      94: q^5+2q+1
      95: q^2+2q+1
      96: 2q+1
      97: 2q+1
      98: q^5+2q+1
      99: 2q+1
     100: q^2+2q+1
     101: 2q+1
     102: 2q+1
     103: q^2+2q+1
     104: 2q+1
     105: 2q+1
     106: q^2+2q+1
     107: 2q+1
     108: 2q+1
     109: q^2+2q+1
     110: q^2+2q+1
     111: 2q+1
     112: 2q+1
     113: q^2+2q+1
     114: 2q+1
     115: q^5+q+1
     116: 2q+1
     117: q^2+2q+1
     118: 2q+1
     119: 2q+1
     120: q^5+q+1
     121: q^2+2q+1
     122: q^2+2q+1
     123: q^3+2q^2+2q+1
     124: q^5+2q+1
     125: q^5+2q+1
     126: q^2+2q+1
     127: q^2+2q+1
     128: q^2+2q+1
     129: 2q+1
     130: 2q+1
     131: q^2+2q+1
     132: q^2+2q+1
     133: q^2+2q+1
     134: 2q+1
     135: 2q+1
     136: q+1
     137: 2q+1
     138: q+1
     139: 2q+1
     140: 2q+1
     141: 2q+1
     142: 2q+1
     143: q^5+2q+1
     144: 2q+1
     145: q^2+2q+1
     146: q^2+2q+1
     147: 2q+1
     148: 2q+1
     149: q^2+2q+1
     150: 2q+1
     151: 2q+1
     152: 2q+1
     153: 2q+1
     154: q^2+2q+1
     155: q^2+2q+1
     156: 2q+1
     157: 2q+1
     158: q^2+2q+1
     159: 2q+1
     160: 2q+1
     161: q^2+2q+1
     162: 2q+1
     163: q^2+2q+1
     164: 2q+1
     165: 2q+1
     166: q^5+q+1
     167: 2q+1
     168: 2q+1
     169: q^2+2q+1
     170: 2q+1
     171: q^5+q+1
     172: q^2+2q+1
     173: q^2+2q+1
     174: q^2+2q+1
     175: 2q+1
     176: 2q+1
     177: q+1
     178: q+1
     179: q^2+2q+1
     180: q+1
     181: q+1
     182: q^2+2q+1
     183: q^2+2q+1
     184: q^2+2q+1
     185: 2q+1
     186: 2q+1
     187: q+1
     188: q+1
     189: 2q+1
     190: 2q+1
     191: 2q+1
     192: 2q+1
     193: q+1
     194: 2q+1
     195: 2q+1
     196: 2q+1
     197: q^2+2q+1
     198: 2q+1
     199: 2q+1
     200: 2q+1
     201: 2q+1
     202: q^2+2q+1
     203: 2q+1
     204: 2q+1
     205: q^2+2q+1
     206: q+1
     207: q+1
     208: q+1
     209: q+1
     210: q^2+2q+1
     211: q^2+2q+1
     212: 2q+1
     213: 2q+1
     214: q^2+2q+1
     215: 2q+1
     216: 2q+1
     217: 2q+1
     218: 2q+1
     219: 2q+1
     220: 2q+1
     221: q^2+2q+1
     222: 2q+1
     223: q^5+q+1
     224: 2q+1
     225: 2q+1
     226: 2q+1
     227: 2q+1
     228: q+1
     229: q+1
     230: q+1
     231: q^2+2q+1
     232: q+1
     233: q+1
     234: q^2+2q+1
     235: q^2+2q+1
     236: q^2+2q+1
     237: 2q+1
     238: 2q+1
     239: q+1
     240: 2q+1
     241: q+1
     242: q+1
     243: 2q+1
     244: 2q+1
     245: 2q+1
     246: 2q+1
     247: 2q+1
     248: 2q+1
     249: 2q+1
     250: 2q+1
     251: q+1
     252: 2q+1
     253: 2q+1
     254: 2q+1
     255: q^2+2q+1
     256: q+1
     257: q+1
     258: q+1
     259: q+1
     260: q+1
     261: q+1
     262: q+1
     263: q^2+2q+1
     264: 2q+1
     265: 2q+1
     266: 2q+1
     267: 2q+1
     268: q^2+2q+1
     269: 2q+1
     270: q^2+2q+1
     271: 2q+1
     272: 2q+1
     273: q+1
     274: q+1
     275: q+1
     276: q^2+2q+1
     277: q+1
     278: q+1
     279: 2q+1
     280: 2q+1
     281: 2q+1
     282: 2q+1
     283: q+1
     284: q+1
     285: q+1
     286: q^2+2q+1
     287: q+1
     288: q+1
     289: 2q+1
     290: 2q+1
     291: 2q+1
     292: 2q+1
     293: q+1
     294: q+1
     295: q+1
     296: 2q+1
     297: 2q+1
     298: 2q+1
     299: q+1
     300: q+1
     301: q+1
     302: 2q+1
     303: q+1
     304: q+1
     305: 2q+1
     306: 2q+1
     307: 2q+1
     308: 2q+1
     309: 2q+1
     310: q+1
     311: q+1
     312: q+1
     313: q+1
     314: q+1
     315: q+1
     316: q+1
     317: q+1
     318: q+1
     319: q+1
     320: 2q+1
     321: 2q+1
     322: 2q+1
     323: 2q+1
     324: 2q+1
     325: q+1
     326: 2q+1
     327: 2q+1
     328: 2q+1
     329: q^2+2q+1
     330: q+1
     331: q+1
     332: q+1
     333: q+1
     334: q^2+2q+1
     335: q+1
     336: q+1
     337: 1
     338: 1
     339: q+1
     340: 1
     341: 1
     342: 2q+1
     343: 2q+1
     344: 2q+1
     345: 2q+1
     346: q+1
     347: q+1
     348: 2q+1
     349: q+1
     350: q+1
     351: q+1
     352: q+1
     353: q+1
     354: q+1
     355: q+1
     356: 2q+1
     357: 2q+1
     358: 2q+1
     359: q+1
     360: q+1
     361: q+1
     362: q+1
     363: q+1
     364: q+1
     365: q+1
     366: 1
     367: 1
     368: 1
     369: 1
     370: q+1
     371: 2q+1
     372: 2q+1
     373: 2q+1
     374: q+1
     375: q+1
     376: 2q+1
     377: 2q+1
     378: 2q+1
     379: 2q+1
     380: 2q+1
     381: q+1
     382: q+1
     383: q+1
     384: q+1
     385: q+1
     386: q+1
     387: q^2+2q+1
     388: q+1
     389: q+1
     390: 1
     391: 1
     392: q+1
     393: 1
     394: 1
     395: 1
     396: 1
     397: q+1
     398: 1
     399: 1
     400: q+1
     401: q+1
     402: q+1
     403: q+1
     404: q+1
     405: q+1
     406: q+1
     407: 1
     408: 1
     409: 1
     410: q+1
     411: q+1
     412: 2q+1
     413: q+1
     414: 1
     415: q+1
     416: q+1
     417: q+1
     418: q+1
     419: 1
     420: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     426: 2q+1
     427: q+1
     428: q+1
     429: 2q+1
     430: 2q+1
     431: 2q+1
     432: q+1
     433: q+1
     434: q+1
     435: q+1
     436: q+1
     437: 1
     438: 1
     439: 1
     440: q+1
     441: 1
     442: 1
     443: 1
     444: 1
     445: q+1
     446: 1
     447: 1
     448: q+1
     449: 1
     450: 1
     451: q+1
     452: 1
     453: q+1
     454: 1
     455: 1
     456: 1
     457: 1
     458: 1
     459: 1
     460: q+1
     461: q+1
     462: q+1
     463: q+1
     464: 1
     465: 1
     466: q+1
     467: 1
     468: 1
     469: 1
     470: 1
     471: 1
     473: q+1
     474: q+1
     475: 2q+1
     476: q+1
     477: q+1
     478: q+1
     479: q+1
     480: q+1
     481: 1
     482: 1
     483: 1
     484: 1
     485: 1
     486: q+1
     487: 1
     488: 1
     489: 1
     490: 1
     491: q+1
     492: 1
     493: 1
     494: 1
     495: 1
     496: 1
     497: 1
     498: 1
     499: 1
     500: q+1
     501: 1
     502: 1
     503: 1
     504: 1
     505: 1
     506: 1
     507: 1
     508: q+1
     509: 1
     510: q+1
     511: 1
     512: 1
     513: 1
     514: 1
     515: 1
     518: q+1
     519: q+1
     520: q+1
     521: q+1
     522: 1
     523: 1
     524: q+1
     525: 1
     526: 1
     527: 1
     528: 1
     529: 1
     530: q+1
     531: 1
     532: 1
     533: 1
     534: 1
     535: 1
     536: 1
     537: 1
     538: 1
     539: 1
     540: 1
     541: 1
     542: 1
     543: q+1
     544: 1
     545: 1
     546: 1
     547: 1
     548: 1
     549: 1
     554: q+1
     555: 1
     556: q+1
     557: 1
     558: 1
     559: 1
     560: 1
     561: 1
     562: 1
     570: 1
     572: 1
     573: 1
     574: 1
     576: 1
     577: 1
     578: 1
     579: 1
     580: 1
     586: q+1
     587: 1
     588: 1
     589: 1
     590: 1
     591: 1
     592: 1
     593: 1
     595: 1
     598: 1
     599: 1
     600: 1
     608: 1
     609: 1
     610: 1
     611: 1
     612: 1
     617: 1
     624: 1
     625: 1
     626: 1
     636: 1

637:   0: q^3+2q^2+2q+1
       1: q^2+2q+1
       2: q^3+2q^2+2q+1
       3: q^3+2q^2+2q+1
       4: q^4+2q^3+3q^2+2q+1
       5: q^2+2q+1
       6: q^2+2q+1
       7: q^3+2q^2+2q+1
       8: q^4+2q^3+3q^2+2q+1
       9: q^2+2q+1
      10: q^2+2q+1
      11: q^3+2q^2+2q+1
      12: q^2+2q+1
      13: q^4+2q^3+3q^2+2q+1
      14: q^2+2q+1
      15: q^3+2q^2+2q+1
      16: q^2+2q+1
      17: q^2+2q+1
      18: q+1
      19: q+1
      20: q+1
      21: q^2+2q+1
      22: q^2+2q+1
      23: q^3+2q^2+2q+1
      24: q^2+2q+1
      25: q+1
      26: q^2+2q+1
      27: q^2+2q+1
      28: q^3+2q^2+2q+1
      29: q^2+2q+1
      30: q+1
      31: q^2+2q+1
      32: q^2+2q+1
      33: q^3+2q^2+2q+1
      34: q+1
      35: q+1
      36: q^3+2q^2+2q+1
      37: q^4+2q^3+3q^2+2q+1
      38: q^2+2q+1
      39: q^2+2q+1
      40: q^2+2q+1
      41: q^3+2q^2+2q+1
      42: q^2+2q+1
      43: q^2+2q+1
      44: q^4+2q^3+3q^2+2q+1
      45: q^2+2q+1
      46: q^3+2q^2+2q+1
      47: q^2+2q+1
      48: q^3+2q^2+2q+1
      49: q^2+2q+1
      50: q^2+2q+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^2+2q+1
      57: q^2+2q+1
      58: q^2+2q+1
      59: q^2+2q+1
      60: q^3+2q^2+2q+1
      61: q^2+2q+1
      62: q^2+2q+1
      63: q^3+2q^2+2q+1
      64: q^2+2q+1
      65: q+1
      66: q^2+2q+1
      67: q^2+2q+1
      68: q^3+2q^2+2q+1
      69: q+1
      70: q+1
      71: q^2+2q+1
      72: q^3+2q^2+2q+1
      73: q^2+2q+1
      74: q+1
      75: q+1
      76: q^3+2q^2+2q+1
      77: q^2+2q+1
      78: q^4+2q^3+3q^2+2q+1
      79: q^2+2q+1
      80: q^2+2q+1
      81: q^3+2q^2+2q+1
      82: q^2+2q+1
      83: q^3+2q^2+2q+1
      84: q^2+2q+1
      85: q^2+2q+1
      86: q^3+2q^2+2q+1
      87: q^2+2q+1
      88: q^3+2q^2+2q+1
      89: q^2+2q+1
      90: q^2+2q+1
      91: q+1
      92: q+1
      93: q^2+2q+1
      94: q+1
      95: q^2+2q+1
      96: q^2+2q+1
      97: q^2+2q+1
      98: q^2+2q+1
      99: q^2+2q+1
     100: q^3+2q^2+2q+1
     101: q^2+2q+1
     102: q^2+2q+1
     103: q^2+2q+1
     104: q^2+2q+1
     105: q^2+2q+1
     106: q^2+2q+1
     107: q^2+2q+1
     108: q^2+2q+1
     109: q^2+2q+1
     110: q^3+2q^2+2q+1
     111: q^2+2q+1
     112: q^2+2q+1
     113: q^3+2q^2+2q+1
     114: q+1
     115: q+1
     116: q^2+2q+1
     117: q^3+2q^2+2q+1
     118: q^2+2q+1
     119: q+1
     120: q+1
     121: q^2+2q+1
     122: q^2+2q+1
     123: q^3+2q^2+2q+1
     124: q+1
     125: q+1
     126: q^3+2q^2+2q+1
     127: q^2+2q+1
     128: q^3+2q^2+2q+1
     129: q^2+2q+1
     130: q^2+2q+1
     131: q^3+2q^2+2q+1
     132: q^2+2q+1
     133: q^3+2q^2+2q+1
     134: q^2+2q+1
     135: q^2+2q+1
     136: q+1
     137: q+1
     138: q+1
     139: q+1
     140: q^2+2q+1
     141: q^2+2q+1
     142: q+1
     143: q+1
     144: q^2+2q+1
     145: q^2+2q+1
     146: q^2+2q+1
     147: q^2+2q+1
     148: q^2+2q+1
     149: q^2+2q+1
     150: q^2+2q+1
     151: q^2+2q+1
     152: q^2+2q+1
     153: q^2+2q+1
     154: q^3+2q^2+2q+1
     155: q^3+2q^2+2q+1
     156: q^2+2q+1
     157: q^2+2q+1
     158: q^2+2q+1
     159: q^2+2q+1
     160: q^2+2q+1
     161: q^2+2q+1
     162: q^2+2q+1
     163: q^3+2q^2+2q+1
     164: q^2+2q+1
     165: q+1
     166: q+1
     167: q^2+2q+1
     168: q^2+2q+1
     169: q^3+2q^2+2q+1
     170: q+1
     171: q+1
     172: q^2+2q+1
     173: q^2+2q+1
     174: q^2+2q+1
     175: q+1
     176: q+1
     177: q^2+q+1
     178: q+1
     179: q^3+2q^2+2q+1
     180: q+1
     181: q+1
     182: q^3+2q^2+2q+1
     183: q^2+2q+1
     184: q^3+2q^2+2q+1
     185: q^2+2q+1
     186: q^2+2q+1
     187: q+1
     188: q+1
     189: q+1
     190: q^2+2q+1
     191: q+1
     192: q+1
     193: q+1
     194: q+1
     195: q^2+2q+1
     196: q^2+2q+1
     197: q^2+2q+1
     198: q^2+2q+1
     199: q^2+2q+1
     200: q+1
     201: q+1
     202: q^2+2q+1
     203: q^2+2q+1
     204: q^2+2q+1
     205: q^2+2q+1
     206: q^2+q+1
     207: q+1
     208: q+1
     209: q+1
     210: q^2+2q+1
     211: q^2+2q+1
     212: q^2+2q+1
     213: q^2+2q+1
     214: q^3+2q^2+2q+1
     215: q^2+2q+1
     216: q^2+2q+1
     217: q^2+2q+1
     218: q^2+2q+1
     219: q^2+2q+1
     220: q^2+2q+1
     221: q^3+2q^2+2q+1
     222: q+1
     223: q+1
     224: q^2+2q+1
     225: q^2+2q+1
     226: q^2+2q+1
     227: q+1
     228: q+1
     229: q^2+q+1
     230: q+1
     231: q^3+2q^2+2q+1
     232: q+1
     233: q+1
     234: q^2+2q+1
     235: q^2+2q+1
     236: q^2+2q+1
     237: q+1
     238: q+1
     239: q+1
     240: q+1
     241: q+1
     242: q+1
     243: q+1
     244: q^2+2q+1
     245: q+1
     246: q^2+2q+1
     247: q^2+2q+1
     248: q+1
     249: q^2+2q+1
     250: q+1
     251: q+1
     252: q+1
     253: q^2+2q+1
     254: q^2+2q+1
     255: q^2+2q+1
     256: q+1
     257: q+1
     258: q+1
     259: q+1
     260: q^2+q+1
     261: q+1
     262: q+1
     263: q^2+2q+1
     264: q^2+2q+1
     265: q^2+2q+1
     266: q+1
     267: q+1
     268: q^2+2q+1
     269: q^2+2q+1
     270: q^2+2q+1
     271: q^2+2q+1
     272: q^2+2q+1
     273: q^2+q+1
     274: q^2+q+1
     275: q+1
     276: q^3+2q^2+2q+1
     277: q+1
     278: q+1
     279: q^2+2q+1
     280: q^2+2q+1
     281: q^2+2q+1
     282: q+1
     283: q+1
     284: q+1
     285: q+1
     286: q^2+2q+1
     287: 1
     288: 1
     289: q^2+2q+1
     290: q^2+2q+1
     291: q^2+2q+1
     292: q+1
     293: q+1
     294: q+1
     295: q+1
     296: q+1
     297: q+1
     298: q^2+2q+1
     299: q+1
     300: q+1
     301: q+1
     302: q+1
     303: q+1
     304: q+1
     305: q+1
     306: q^2+2q+1
     307: q+1
     308: q^2+2q+1
     309: q^2+2q+1
     310: q^2+q+1
     311: q+1
     312: q+1
     313: q+1
     314: 1
     315: 1
     316: q+1
     317: q+1
     318: q+1
     319: q+1
     320: q^2+2q+1
     321: q^2+2q+1
     322: q+1
     323: q^2+2q+1
     324: q+1
     325: q+1
     326: q+1
     327: q^2+2q+1
     328: q^2+2q+1
     329: q^2+2q+1
     330: q+1
     331: q^2+q+1
     332: q+1
     333: q+1
     334: q^2+2q+1
     335: 1
     336: 1
     337: q+1
     338: q+1
     339: q^2+2q+1
     340: 1
     341: 1
     342: q^2+2q+1
     343: q^2+2q+1
     344: q^2+2q+1
     345: q+1
     346: q+1
     347: q+1
     348: q+1
     349: q+1
     350: 1
     351: 1
     352: q+1
     353: q+1
     354: q+1
     355: q+1
     356: q+1
     357: q+1
     358: q^2+2q+1
     359: q+1
     360: q+1
     361: q+1
     362: q+1
     363: 1
     364: q+1
     365: 1
     366: 1
     367: 1
     368: q+1
     369: q+1
     370: q+1
     371: q+1
     372: q^2+2q+1
     373: q+1
     374: q+1
     375: q+1
     376: q+1
     377: q^2+2q+1
     378: q+1
     379: q^2+2q+1
     380: q^2+2q+1
     381: q+1
     382: q+1
     383: q^2+q+1
     384: q+1
     385: q+1
     386: q+1
     387: q^2+2q+1
     388: 1
     389: 1
     390: q+1
     391: q+1
     392: q^2+2q+1
     393: 1
     394: 1
     395: q+1
     396: q+1
     397: q^2+2q+1
     398: 1
     399: 1
     400: 1
     401: 1
     402: q+1
     403: q+1
     404: 1
     405: q+1
     406: 1
     407: 1
     408: 1
     409: q+1
     410: q+1
     411: q+1
     412: q+1
     413: q+1
     414: q+1
     415: q+1
     416: 1
     417: q+1
     418: 1
     419: 1
     420: 1
     421: 1
     422: q+1
     423: 1
     424: q+1
     425: q+1
     426: q+1
     427: q+1
     428: q+1
     429: q+1
     430: q+1
     431: q^2+2q+1
     432: q+1
     433: q+1
     434: q+1
     435: q+1
     436: q+1
     437: q+1
     438: q+1
     439: q+1
     440: q^2+2q+1
     441: 1
     442: 1
     443: q+1
     444: q+1
     445: q^2+2q+1
     446: 1
     447: 1
     448: 1
     449: 1
     450: 1
     451: 1
     452: q+1
     453: 1
     454: 1
     455: 1
     456: 1
     457: q+1
     458: 1
     459: q+1
     460: q+1
     461: q+1
     462: 1
     463: q+1
     464: q+1
     465: q+1
     466: 1
     467: 1
     468: 1
     469: 1
     470: 1
     471: q+1
     473: q+1
     474: q+1
     475: q+1
     476: q+1
     477: q+1
     478: q+1
     479: 1
     480: q+1
     481: q+1
     482: q+1
     483: q+1
     484: 1
     485: 1
     486: q+1
     487: 1
     489: q+1
     490: q+1
     491: q^2+2q+1
     492: 1
     493: 1
     495: 1
     496: 1
     497: 1
     498: 1
     499: 1
     500: 1
     501: q+1
     502: 1
     503: 1
     504: 1
     505: 1
     506: 1
     507: q+1
     508: 1
     509: q+1
     510: 1
     511: 1
     512: q+1
     513: 1
     514: 1
     515: 1
     518: q+1
     519: q+1
     520: 1
     521: q+1
     522: q+1
     523: q+1
     524: 1
     525: q+1
     526: 1
     527: q+1
     528: 1
     529: 1
     530: q+1
     531: 1
     535: 1
     536: 1
     537: 1
     538: 1
     539: 1
     540: 1
     541: 1
     542: 1
     543: 1
     544: 1
     545: 1
     546: q+1
     547: 1
     548: 1
     549: 1
     554: 1
     555: q+1
     556: 1
     557: 1
     558: q+1
     559: 1
     560: q+1
     561: 1
     562: 1
     563: 1
     564: 1
     565: q+1
     566: 1
     569: 1
     571: 1
     573: 1
     574: 1
     575: 1
     576: 1
     577: 1
     578: 1
     579: 1
     580: 1
     586: 1
     587: 1
     588: 1
     589: q+1
     590: 1
     591: 1
     592: 1
     593: 1
     596: 1
     599: 1
     600: 1
     601: 1
     608: 1
     609: 1
     610: 1
     611: 1
     612: 1
     613: 1
     618: 1
     625: 1
     626: 1
     627: 1
     637: 1

638:   0: q^2+q+1
       1: q^2+q+1
       2: q^3+q^2+q+1
       3: q^2+q+1
       4: q^2+q+1
       5: q^2+q+1
       6: q^2+q+1
       7: q^2+q+1
       8: q^3+q^2+q+1
       9: 1
      10: q^2+q+1
      11: q^2+q+1
      12: q+1
      13: q^3+q^2+q+1
      14: 1
      15: 1
      16: q+1
      17: q^7+1
      18: q+1
      19: q^7+1
      20: q^7+1
      21: 1
      22: 1
      23: 1
      24: 1
      25: 1
      26: q^2+q+1
      27: q^2+q+1
      28: q^2+q+1
      29: q+1
      30: q^7+1
      31: q^2+q+1
      32: q^2+q+1
      33: q^2+q+1
      34: q+1
      35: q^7+1
      36: q^2+q+1
      37: q^2+q+1
      38: q+1
      39: q+1
      40: 1
      41: q^2+q+1
      42: q^2+q+1
      43: q^2+q+1
      44: q^3+q^2+q+1
      45: 1
      46: q^2+q+1
      47: q^2+q+1
      48: q^3+q^2+q+1
      49: q^2+q+1
      50: 1
      51: 1
      52: 1
      53: q+1
      54: 1
      55: q^2+q+1
      56: q^2+q+1
      57: 1
      58: q^2+q+1
      59: q^2+q+1
      60: q^2+q+1
      61: 1
      62: 1
      63: 1
      64: 1
      65: 1
      66: q^2+q+1
      67: q^2+q+1
      68: q^2+q+1
      69: q+1
      70: q^7+1
      71: q^2+q+1
      72: q^2+q+1
      73: q+1
      74: q+1
      75: 1
      76: q^2+q+1
      77: q+1
      78: q^2+q+1
      79: q+1
      80: 1
      81: q^2+q+1
      82: q^2+q+1
      83: q^3+q^2+q+1
      84: q^2+q+1
      85: 1
      86: q^2+q+1
      87: q^2+q+1
      88: q^3+q^2+q+1
      89: q^2+q+1
      90: 1
      91: 1
      92: q+1
      93: 1
      94: 1
      95: q+1
      96: 1
      97: q^2+q+1
      98: 1
      99: q+1
     100: q^2+q+1
     101: 1
     102: q^2+q+1
     103: q^2+q+1
     104: 1
     105: q^2+q+1
     106: q^2+q+1
     107: 1
     108: q^2+q+1
     109: q^2+q+1
     110: q^2+q+1
     111: 1
     112: 1
     113: 1
     114: 1
     115: 1
     116: q^2+q+1
     117: q^2+q+1
     118: q+1
     119: q+1
     120: 1
     121: q^2+q+1
     122: q+1
     123: q^2+q+1
     124: q+1
     125: 1
     126: q^2+q+1
     127: q+1
     128: q^2+q+1
     129: q+1
     130: 1
     131: q^2+q+1
     132: q^2+q+1
     133: q^3+q^2+q+1
     134: q^2+q+1
     135: 1
     136: 1
     137: 1
     138: 1
     139: q+1
     140: q+1
     141: 1
     142: q+1
     143: 1
     144: 1
     145: q+1
     146: q^2+q+1
     147: 1
     148: q^2+q+1
     149: q+1
     150: 1
     151: q+1
     152: 1
     153: q^2+q+1
     154: q^2+q+1
     155: q^2+q+1
     156: 1
     157: q^2+q+1
     158: q^2+q+1
     159: 1
     160: q^2+q+1
     161: q^2+q+1
     162: 1
     163: 1
     164: 1
     165: 1
     166: 1
     167: q^2+q+1
     168: q+1
     169: q^2+q+1
     170: q+1
     171: 1
     172: q^2+q+1
     173: q+1
     174: q^2+q+1
     175: q+1
     176: 1
     177: q^2+q+1
     178: q^2+q+1
     179: q^3+q^2+q+1
     180: q^2+q+1
     181: 1
     182: q^2+q+1
     183: q+1
     184: q^2+q+1
     185: q+1
     186: 1
     187: 1
     188: 1
     189: 1
     190: 1
     191: q+1
     192: 1
     193: 1
     194: q+1
     195: q+1
     196: q^2+q+1
     197: q+1
     198: 1
     199: q+1
     200: q+1
     201: 1
     202: q+1
     203: 1
     204: 1
     205: q^2+q+1
     206: q^2+q+1
     207: 1
     208: q^2+q+1
     209: q^2+q+1
     210: q^2+q+1
     211: q+1
     212: 1
     213: q+1
     214: q^2+q+1
     215: 1
     216: q^2+q+1
     217: 1
     218: q^2+q+1
     219: 1
     220: 1
     221: 1
     222: 1
     223: 1
     224: q^2+q+1
     225: q+1
     226: q^2+q+1
     227: q+1
     228: 1
     229: q^2+q+1
     230: q+1
     231: q^2+q+1
     232: q+1
     233: 1
     234: q^2+q+1
     235: q+1
     236: q^2+q+1
     237: q+1
     238: 1
     239: 1
     240: 1
     241: 1
     242: 1
     243: 1
     244: 1
     245: q+1
     246: 1
     247: q+1
     248: q+1
     249: 1
     250: 1
     251: 1
     252: q+1
     253: q+1
     254: q^2+q+1
     255: q+1
     256: q^2+q+1
     257: q+1
     258: 1
     259: q+1
     260: q^2+q+1
     261: 1
     262: q^2+q+1
     263: q+1
     264: q^2+q+1
     265: q+1
     266: q+1
     267: 1
     268: q+1
     269: 1
     270: q^2+q+1
     271: 1
     272: 1
     273: q^2+q+1
     274: q^2+q+1
     275: q+1
     276: q^2+q+1
     277: q+1
     278: 1
     279: 1
     280: 1
     281: 1
     282: 1
     283: 1
     284: q^2+q+1
     285: q+1
     286: q^2+q+1
     287: q+1
     288: 1
     289: q^2+q+1
     290: q+1
     291: q^2+q+1
     292: q+1
     293: 1
     294: 1
     295: 1
     296: 1
     297: q+1
     298: 1
     299: q+1
     300: 1
     301: q+1
     302: 1
     303: 1
     304: 1
     305: 1
     306: 1
     307: q+1
     308: 1
     309: q+1
     310: q^2+q+1
     311: q+1
     312: q^2+q+1
     313: q+1
     314: q+1
     315: 1
     316: q+1
     317: 1
     318: q^2+q+1
     319: 1
     320: q+1
     321: 1
     322: q+1
     323: 1
     324: 1
     325: 1
     326: q+1
     327: q+1
     328: q^2+q+1
     329: q+1
     330: q^2+q+1
     331: q^2+q+1
     332: q^2+q+1
     333: q+1
     334: q^2+q+1
     335: q+1
     336: 1
     337: q^2+q+1
     338: q+1
     339: q^2+q+1
     340: q+1
     341: 1
     342: 1
     343: 1
     344: 1
     345: 1
     346: 1
     347: 1
     348: 1
     349: q+1
     350: q+1
     351: 1
     352: q+1
     353: 1
     354: 1
     355: 1
     356: 1
     357: q+1
     358: 1
     359: q+1
     360: q^2+q+1
     361: q+1
     362: 1
     363: q+1
     364: 1
     365: 1
     366: 1
     367: q+1
     368: q+1
     369: q^2+q+1
     370: q+1
     371: q+1
     372: 1
     373: 1
     374: 1
     375: 1
     376: 1
     377: 1
     378: q+1
     379: 1
     380: q+1
     381: q+1
     382: q^2+q+1
     383: q^2+q+1
     384: q^2+q+1
     385: q+1
     386: q+1
     387: q+1
     388: 1
     389: 1
     390: q^2+q+1
     391: q+1
     392: q^2+q+1
     393: q+1
     394: 1
     395: 1
     396: 1
     397: 1
     398: 1
     399: 1
     400: 1
     401: 1
     402: q+1
     403: 1
     404: q+1
     405: 1
     406: 1
     407: 1
     408: q+1
     409: q+1
     410: q+1
     411: 1
     412: 1
     413: q+1
     414: q^2+q+1
     415: q+1
     416: q+1
     417: 1
     418: 1
     419: 1
     420: 1
     421: 1
     422: 1
     423: q+1
     424: 1
     425: q+1
     426: 1
     427: 1
     428: 1
     429: 1
     430: q+1
     431: 1
     432: q+1
     433: q+1
     434: 1
     435: q^2+q+1
     436: q+1
     437: q^2+q+1
     438: q+1
     439: q+1
     440: q+1
     441: 1
     442: 1
     443: 1
     444: 1
     445: 1
     446: 1
     447: 1
     448: 1
     449: 1
     450: 1
     451: 1
     452: q+1
     453: 1
     454: 1
     455: 1
     456: 1
     457: 1
     458: q+1
     459: q+1
     460: 1
     461: q+1
     462: q+1
     463: 1
     464: 1
     465: q+1
     466: 1
     467: 1
     468: 1
     469: 1
     470: q+1
     471: 1
     472: q+1
     473: 1
     474: 1
     475: 1
     476: q+1
     477: q+1
     478: q+1
     479: q+1
     480: 1
     481: q^2+q+1
     482: q+1
     483: 1
     484: q+1
     485: q+1
     486: q+1
     487: 1
     488: 1
     494: 1
     495: 1
     496: 1
     499: q+1
     500: 1
     502: 1
     503: 1
     504: 1
     505: 1
     506: q+1
     508: 1
     509: q+1
     510: 1
     511: q+1
     512: 1
     513: 1
     514: 1
     515: 1
     516: q+1
     517: q+1
     518: 1
     519: q+1
     520: q+1
     521: 1
     522: q+1
     523: q+1
     524: 1
     525: 1
     526: q+1
     527: 1
     534: 1
     538: 1
     539: 1
     541: 1
     543: 1
     544: 1
     545: q+1
     547: 1
     548: 1
     549: 1
     550: q+1
     551: 1
     552: q+1
     553: q+1
     554: 1
     555: q+1
     556: 1
     557: q+1
     558: 1
     559: q+1
     561: 1
     562: 1
     572: 1
     576: 1
     577: 1
     580: 1
     581: 1
     582: 1
     583: q+1
     584: q+1
     585: 1
     586: 1
     587: 1
     588: q+1
     590: 1
     591: 1
     593: 1
     597: 1
     598: 1
     602: 1
     603: 1
     604: q+1
     605: 1
     607: 1
     608: 1
     609: 1
     612: 1
     615: 1
     616: 1
     619: 1
     620: 1
     623: 1
     624: 1
     628: 1
     629: 1
     632: 1
     638: 1

639:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q+1
       5: 1
       6: q+1
       7: q+1
       8: q+1
       9: 1
      10: 1
      11: 1
      12: q+1
      13: q+1
      14: 1
      15: 1
      16: 1
      17: 1
      18: 1
      19: 1
      21: 1
      22: 1
      23: 1
      24: 1
      25: 1
      26: 1
      27: 1
      28: 1
      29: 1
      31: q+1
      32: q+1
      33: q+1
      34: 1
      35: 1
      36: q+1
      37: q+1
      38: q+1
      39: 1
      40: 1
      41: q+1
      42: q+1
      43: 1
      44: q+1
      45: 1
      46: q+1
      47: q+1
      48: q+1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: q+1
      57: 1
      58: 1
      59: q+1
      60: q+1
      61: 1
      62: 1
      63: 1
      64: 1
      66: 1
      67: 1
      68: 1
      69: 1
      71: q+1
      72: q+1
      73: q+1
      74: 1
      75: 1
      76: q+1
      77: q+1
      78: q+1
      79: 1
      80: 1
      81: q+1
      82: q+1
      83: q+1
      84: 1
      85: 1
      86: q+1
      87: q+1
      88: q+1
      89: 1
      90: 1
      92: 1
      93: 1
      94: 1
      95: q+1
      96: 1
      97: 1
      98: 1
      99: 1
     100: q+1
     101: 1
     102: 1
     103: q+1
     104: 1
     105: 1
     106: q+1
     107: 1
     108: 1
     109: q+1
     110: q+1
     111: 1
     112: 1
     113: 1
     114: 1
     116: 1
     117: 1
     118: 1
     119: 1
     121: q+1
     122: q+1
     123: q+1
     124: 1
     125: 1
     126: q+1
     127: q+1
     128: q+1
     129: 1
     130: 1
     131: q+1
     132: q+1
     133: q+1
     134: 1
     135: 1
     137: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: 1
     144: 1
     145: q+1
     146: q+1
     147: 1
     148: 1
     149: q+1
     150: 1
     151: 1
     152: 1
     153: 1
     154: q+1
     155: q+1
     156: 1
     157: 1
     158: q+1
     159: 1
     160: 1
     161: q+1
     162: 1
     163: 1
     164: 1
     165: 1
     167: 1
     168: 1
     169: 1
     170: 1
     172: q+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: q+1
     183: q+1
     184: q+1
     185: 1
     186: 1
     189: 1
     190: 1
     191: 1
     192: 1
     194: 1
     195: 1
     196: 1
     197: q+1
     198: 1
     199: 1
     200: 1
     201: 1
     202: q+1
     203: 1
     204: 1
     205: q+1
     206: q+1
     207: 1
     208: 1
     209: q+1
     210: q+1
     211: q+1
     212: 1
     213: 1
     214: q+1
     215: 1
     216: 1
     217: 1
     218: 1
     219: 1
     220: 1
     221: 1
     222: 1
     224: 1
     225: 1
     226: 1
     227: 1
     229: q+1
     230: q+1
     231: q+1
     232: 1
     233: 1
     234: q+1
     235: q+1
     236: q+1
     237: 1
     238: 1
     240: 1
     243: 1
     244: 1
     245: 1
     246: 1
     247: 1
     248: 1
     249: 1
     250: 1
     252: 1
     253: 1
     254: 1
     255: q+1
     256: q+1
     257: q+1
     258: 1
     259: 1
     260: q+1
     261: 1
     262: 1
     263: q+1
     264: 1
     265: 1
     266: 1
     267: 1
     268: q+1
     269: 1
     270: q+1
     271: 1
     272: 1
     273: q+1
     274: q+1
     275: q+1
     276: q+1
     277: 1
     278: 1
     279: 1
     280: 1
     281: 1
     282: 1
     284: q+1
     285: q+1
     286: q+1
     287: 1
     288: 1
     289: 1
     290: 1
     291: 1
     292: 1
     296: 1
     297: 1
     298: 1
     299: q+1
     300: 1
     301: 1
     302: 1
     305: 1
     306: 1
     307: 1
     308: 1
     309: 1
     310: q+1
     311: q+1
     312: 1
     313: 1
     314: 1
     315: 1
     316: q+1
     317: 1
     318: q+1
     319: 1
     320: 1
     321: 1
     322: 1
     323: 1
     324: 1
     326: 1
     327: 1
     328: 1
     329: q+1
     330: q+1
     331: q+1
     332: q+1
     333: q+1
     334: q+1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: 1
     342: 1
     343: 1
     344: 1
     345: 1
     348: 1
     349: 1
     350: 1
     351: 1
     352: q+1
     353: 1
     356: 1
     357: 1
     358: 1
     359: q+1
     360: q+1
     361: 1
     362: 1
     363: 1
     364: 1
     365: 1
     367: 1
     368: 1
     369: 1
     370: q+1
     371: 1
     372: 1
     373: 1
     376: 1
     377: 1
     378: 1
     379: 1
     380: 1
     381: q+1
     382: 1
     383: q+1
     384: q+1
     385: q+1
     386: q+1
     387: q+1
     388: 1
     389: 1
     390: 1
     391: 1
     392: 1
     393: 1
     395: 1
     396: 1
     397: 1
     398: 1
     400: 1
     401: 1
     402: q+1
     404: 1
     405: 1
     406: 1
     408: 1
     409: 1
     410: q+1
     412: 1
     413: 1
     414: 1
     415: q+1
     416: 1
     417: 1
     418: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     426: 1
     429: 1
     430: 1
     431: 1
     432: q+1
     433: 1
     434: 1
     435: q+1
     436: q+1
     437: 1
     438: 1
     439: 1
     440: 1
     441: 1
     443: 1
     444: 1
     445: 1
     446: 1
     448: 1
     450: 1
     451: 1
     452: 1
     453: 1
     456: 1
     457: 1
     458: 1
     459: 1
     461: q+1
     462: 1
     463: 1
     464: 1
     465: 1
     466: 1
     469: 1
     470: 1
     471: 1
     472: q+1
     475: 1
     476: 1
     477: q+1
     478: q+1
     479: 1
     480: 1
     481: 1
     482: 1
     483: 1
     484: 1
     485: 1
     486: 1
     487: 1
     489: 1
     490: 1
     491: 1
     492: 1
     495: 1
     498: 1
     499: 1
     500: 1
     501: 1
     502: 1
     505: 1
     506: 1
     507: 1
     508: 1
     509: 1
     510: 1
     511: 1
     512: 1
     515: 1
     516: 1
     517: q+1
     519: q+1
     520: 1
     521: 1
     522: 1
     523: 1
     524: 1
     525: 1
     526: 1
     527: 1
     528: 1
     529: 1
     530: 1
     531: 1
     535: 1
     537: 1
     538: 1
     540: 1
     542: 1
     543: 1
     544: 1
     545: 1
     546: 1
     548: 1
     550: 1
     551: 1
     552: q+1
     553: 1
     554: 1
     555: 1
     556: 1
     557: 1
     558: 1
     559: 1
     560: 1
     562: 1
     573: 1
     576: 1
     578: 1
     579: 1
     581: 1
     582: 1
     583: 1
     584: 1
     585: 1
     586: 1
     587: 1
     588: 1
     589: 1
     591: 1
     592: 1
     597: 1
     599: 1
     602: 1
     603: 1
     604: 1
     606: 1
     607: 1
     608: 1
     610: 1
     611: 1
     615: 1
     616: 1
     619: 1
     621: 1
     622: 1
     625: 1
     629: 1
     630: 1
     633: 1
     639: 1

640:   0: q^3+q^2+q+1
       1: q+1
       2: q^3+q^2+q+1
       3: q^3+q^2+q+1
       4: q^3+q^2+q+1
       5: q+1
       6: q+1
       7: q+1
       8: q^3+q^2+q+1
       9: q+1
      10: q+1
      11: q+1
      12: q+1
      13: q^3+q^2+q+1
      14: q+1
      15: q+1
      16: q+1
      17: q+1
      18: q^7+1
      19: q^7+1
      20: q^7+1
      21: q+1
      22: q+1
      23: q+1
      24: q+1
      25: q^7+1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      30: q^7+1
      31: q+1
      32: q+1
      33: q+1
      34: 1
      35: 1
      36: q^3+q^2+q+1
      37: q^3+q^2+q+1
      38: q+1
      39: q+1
      40: q+1
      41: q^3+q^2+q+1
      42: q+1
      43: q+1
      44: q^3+q^2+q+1
      45: q+1
      46: q^3+q^2+q+1
      47: q+1
      48: q^3+q^2+q+1
      49: q+1
      50: q+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^3+q^2+q+1
      61: q+1
      62: q+1
      63: q+1
      64: q+1
      65: q^7+1
      66: q+1
      67: q+1
      68: q+1
      69: 1
      70: 1
      71: q+1
      72: q+1
      73: q+1
      74: 1
      75: 1
      76: q^3+q^2+q+1
      77: q+1
      78: q^3+q^2+q+1
      79: q+1
      80: q+1
      81: q^3+q^2+q+1
      82: q+1
      83: q^3+q^2+q+1
      84: q+1
      85: q+1
      86: q^3+q^2+q+1
      87: q+1
      88: q^3+q^2+q+1
      89: q+1
      90: q+1
      91: 1
      92: 1
      93: q+1
      94: 1
      95: q+1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     100: q^3+q^2+q+1
     101: q+1
     102: q+1
     103: q+1
     104: q+1
     105: q+1
     106: q+1
     107: q+1
     108: q+1
     109: q+1
     110: q^3+q^2+q+1
     111: q+1
     112: q+1
     113: q+1
     114: 1
     115: 1
     116: q+1
     117: q+1
     118: q+1
     119: 1
     120: 1
     121: q+1
     122: q+1
     123: q+1
     124: 1
     125: 1
     126: q^3+q^2+q+1
     127: q+1
     128: q^3+q^2+q+1
     129: q+1
     130: q+1
     131: q^3+q^2+q+1
     132: q+1
     133: q^3+q^2+q+1
     134: q+1
     135: q+1
     136: 1
     137: 1
     138: 1
     139: 1
     140: q+1
     141: q+1
     142: 1
     143: 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^3+q^2+q+1
     155: q^3+q^2+q+1
     156: q+1
     157: q+1
     158: q+1
     159: q+1
     160: q+1
     161: q+1
     162: q+1
     163: q+1
     164: q+1
     165: 1
     166: 1
     167: q+1
     168: q+1
     169: q+1
     170: 1
     171: 1
     172: q+1
     173: q+1
     174: q+1
     175: 1
     176: 1
     177: q^3+q^2+q+1
     178: q+1
     179: q^3+q^2+q+1
     180: q+1
     181: q+1
     182: q^3+q^2+q+1
     183: q+1
     184: q^3+q^2+q+1
     185: q+1
     186: q+1
     187: 1
     188: 1
     189: 1
     190: q+1
     191: 1
     192: 1
     193: 1
     194: 1
     195: q+1
     196: q+1
     197: q+1
     198: q+1
     199: q+1
     200: 1
     201: 1
     202: q+1
     203: q+1
     204: q+1
     205: q+1
     206: q^3+q^2+q+1
     207: q+1
     208: q+1
     209: q+1
     210: q+1
     211: q+1
     212: q+1
     213: q+1
     214: q^3+q^2+q+1
     215: q+1
     216: q+1
     217: q+1
     218: q+1
     219: q+1
     220: q+1
     221: q+1
     222: 1
     223: 1
     224: q+1
     225: q+1
     226: q+1
     227: 1
     228: 1
     229: q^3+q^2+q+1
     230: q+1
     231: q^3+q^2+q+1
     232: q+1
     233: q+1
     234: q+1
     235: q+1
     236: q+1
     237: 1
     238: 1
     239: 1
     240: 1
     241: 1
     242: 1
     243: 1
     244: q+1
     245: 1
     246: q+1
     247: q+1
     248: 1
     249: q+1
     250: 1
     251: 1
     252: 1
     253: q+1
     254: q+1
     255: q+1
     256: q+1
     257: q+1
     258: q+1
     259: q+1
     260: q^3+q^2+q+1
     261: q+1
     262: q+1
     263: q+1
     264: q+1
     265: q+1
     266: 1
     267: 1
     268: q+1
     269: q+1
     270: q+1
     271: q+1
     272: q+1
     273: q^3+q^2+q+1
     274: q^3+q^2+q+1
     275: q+1
     276: q^3+q^2+q+1
     277: q+1
     278: q+1
     279: q+1
     280: q+1
     281: q+1
     282: 1
     283: 1
     284: q+1
     285: q+1
     286: q+1
     287: 1
     288: 1
     289: q+1
     290: q+1
     291: q+1
     292: 1
     293: 1
     294: 1
     295: 1
     296: 1
     297: 1
     298: q+1
     299: q+1
     300: q+1
     301: q+1
     302: 1
     303: 1
     304: 1
     305: 1
     306: q+1
     307: 1
     308: q+1
     309: q+1
     310: q^3+q^2+q+1
     311: q+1
     312: q+1
     313: q+1
     314: 1
     315: 1
     316: q+1
     317: q+1
     318: q+1
     319: q+1
     320: q+1
     321: q+1
     322: 1
     323: q+1
     324: 1
     325: 1
     326: 1
     327: q+1
     328: q+1
     329: q+1
     330: q+1
     331: q^3+q^2+q+1
     332: q+1
     333: q+1
     334: q+1
     335: 1
     336: 1
     337: q+1
     338: q+1
     339: q+1
     340: 1
     341: 1
     342: q+1
     343: q+1
     344: q+1
     345: 1
     346: 1
     347: 1
     348: 1
     349: q+1
     350: 1
     351: 1
     352: q+1
     353: q+1
     354: 1
     355: 1
     356: 1
     357: 1
     358: q+1
     359: q+1
     360: q+1
     361: q+1
     362: q+1
     363: 1
     364: q+1
     365: 1
     366: 1
     367: 1
     368: q+1
     369: q+1
     370: q+1
     371: 1
     372: q+1
     373: 1
     374: 1
     375: 1
     376: 1
     377: q+1
     378: 1
     379: q+1
     380: q+1
     381: q+1
     382: q+1
     383: q^3+q^2+q+1
     384: q+1
     385: q+1
     386: q+1
     387: q+1
     388: 1
     389: 1
     390: q+1
     391: q+1
     392: q+1
     393: 1
     394: 1
     395: q+1
     396: q+1
     397: q+1
     398: 1
     399: 1
     400: 1
     401: 1
     402: q+1
     403: 1
     404: 1
     405: q+1
     406: 1
     407: 1
     408: 1
     409: q+1
     410: q+1
     411: 1
     412: 1
     413: q+1
     414: q+1
     415: q+1
     416: 1
     417: q+1
     418: 1
     419: 1
     420: 1
     421: 1
     422: q+1
     423: 1
     424: q+1
     425: q+1
     426: 1
     427: 1
     428: 1
     429: 1
     430: 1
     431: q+1
     432: q+1
     433: q+1
     434: q+1
     435: q+1
     436: q+1
     437: q+1
     438: q+1
     439: q+1
     440: q+1
     441: 1
     442: 1
     443: q+1
     444: q+1
     445: q+1
     446: 1
     447: 1
     448: 1
     449: 1
     450: 1
     451: 1
     452: q+1
     453: 1
     454: 1
     455: 1
     456: 1
     457: q+1
     458: 1
     459: q+1
     460: 1
     461: q+1
     462: 1
     463: q+1
     464: q+1
     465: q+1
     466: 1
     467: 1
     468: 1
     469: 1
     470: 1
     471: q+1
     472: q+1
     473: 1
     474: 1
     475: 1
     476: q+1
     477: q+1
     478: q+1
     479: 1
     480: q+1
     481: q+1
     482: q+1
     483: q+1
     489: q+1
     490: q+1
     491: q+1
     492: 1
     493: 1
     496: 1
     497: 1
     498: 1
     500: 1
     501: q+1
     502: 1
     503: 1
     504: 1
     505: 1
     507: q+1
     508: 1
     509: q+1
     510: 1
     511: 1
     512: q+1
     513: 1
     514: 1
     515: 1
     516: q+1
     517: q+1
     518: 1
     519: q+1
     520: 1
     521: q+1
     522: q+1
     523: q+1
     524: 1
     525: q+1
     526: 1
     527: q+1
     536: 1
     539: 1
     540: 1
     541: 1
     543: 1
     544: 1
     546: q+1
     547: 1
     548: 1
     549: 1
     550: 1
     551: q+1
     552: q+1
     553: q+1
     554: 1
     555: q+1
     556: 1
     557: 1
     558: q+1
     560: q+1
     561: 1
     562: 1
     574: 1
     577: 1
     578: 1
     580: 1
     581: 1
     582: 1
     583: q+1
     584: 1
     585: q+1
     586: 1
     587: 1
     589: q+1
     590: 1
     591: 1
     593: 1
     597: 1
     600: 1
     602: 1
     603: 1
     605: 1
     606: q+1
     607: 1
     609: 1
     610: 1
     612: 1
     615: 1
     616: 1
     620: 1
     621: 1
     623: 1
     626: 1
     628: 1
     630: 1
     634: 1
     640: 1

641:   0: q^3+2q^2+2q+1
       1: q^3+2q^2+2q+1
       2: q^3+2q^2+2q+1
       3: q^2+2q+1
       4: q^3+2q^2+2q+1
       5: q^2+2q+1
       6: q^2+2q+1
       7: q^3+2q^2+2q+1
       8: q^3+2q^2+2q+1
       9: q^2+2q+1
      10: q^6+2q+1
      11: q^2+2q+1
      12: q^2+2q+1
      13: q^4+2q^3+2q^2+2q+1
      14: q^6+2q+1
      15: q^2+2q+1
      16: q^6+2q+1
      17: q^6+2q+1
      18: q^6+2q+1
      19: q^6+2q+1
      20: q^7+q^6+q+1
      21: q^2+2q+1
      22: q^6+2q+1
      23: q^2+2q+1
      24: q^6+2q+1
      25: q^6+2q+1
      26: q^2+2q+1
      27: 2q+1
      28: q^2+2q+1
      29: 2q+1
      30: q^6+q+1
      31: q^3+2q^2+2q+1
      32: q^2+2q+1
      33: q^3+2q^2+2q+1
      34: q^6+2q+1
      35: q^6+2q+1
      36: q^3+2q^2+2q+1
      37: q^3+2q^2+2q+1
      38: q^2+2q+1
      39: q^6+2q+1
      40: q^6+2q+1
      41: q^2+2q+1
      42: q^2+2q+1
      43: 2q+1
      44: q^3+2q^2+2q+1
      45: 2q+1
      46: q^3+2q^2+2q+1
      47: q^3+2q^2+2q+1
      48: q^3+2q^2+2q+1
      49: q^2+2q+1
      50: q^2+2q+1
      51: q^6+2q+1
      52: q^6+2q+1
      53: 2q+1
      54: 2q+1
      55: 2q+1
      56: q^2+2q+1
      57: q^2+2q+1
      58: q^2+2q+1
      59: q^3+2q^2+2q+1
      60: q^3+2q^2+2q+1
      61: q^2+2q+1
      62: 2q+1
      63: q^2+2q+1
      64: 2q+1
      65: q^6+q+1
      66: q^2+2q+1
      67: 2q+1
      68: q^2+2q+1
      69: 2q+1
      70: q^6+q+1
      71: q^3+2q^2+2q+1
      72: q^3+2q^2+2q+1
      73: q^2+2q+1
      74: q^6+2q+1
      75: q^6+2q+1
      76: q^2+2q+1
      77: q^2+2q+1
      78: q^3+2q^2+2q+1
      79: 2q+1
      80: 2q+1
      81: q^2+2q+1
      82: q^2+2q+1
      83: q^3+2q^2+2q+1
      84: 2q+1
      85: 2q+1
      86: q^3+2q^2+2q+1
      87: q^3+2q^2+2q+1
      88: q^3+2q^2+2q+1
      89: q^2+2q+1
      90: q^2+2q+1
      91: q+1
      92: 2q+1
      93: 2q+1
      94: q^6+2q+1
      95: q^2+2q+1
      96: 2q+1
      97: 2q+1
      98: 2q+1
      99: 2q+1
     100: q^2+2q+1
     101: q^2+2q+1
     102: q^2+2q+1
     103: q^3+2q^2+2q+1
     104: 2q+1
     105: 2q+1
     106: q^2+2q+1
     107: q^2+2q+1
     108: q^2+2q+1
     109: q^3+2q^2+2q+1
     110: q^3+2q^2+2q+1
     111: q^2+2q+1
     112: 2q+1
     113: q^2+2q+1
     114: 2q+1
     115: q^6+q+1
     116: q^2+2q+1
     117: q^2+2q+1
     118: 2q+1
     119: 2q+1
     120: q^6+q+1
     121: q^2+2q+1
     122: q^2+2q+1
     123: q^3+2q^2+2q+1
     124: 2q+1
     125: 2q+1
     126: q^2+2q+1
     127: q^2+2q+1
     128: q^3+2q^2+2q+1
     129: 2q+1
     130: 2q+1
     131: q^2+2q+1
     132: q^2+2q+1
     133: q^3+2q^2+2q+1
     134: 2q+1
     135: 2q+1
     136: q+1
     137: 2q+1
     138: q+1
     139: 2q+1
     140: 2q+1
     141: 2q+1
     142: 2q+1
     143: 2q+1
     144: 2q+1
     145: q^2+2q+1
     146: q^2+2q+1
     147: q^2+2q+1
     148: q^2+2q+1
     149: q^2+2q+1
     150: 2q+1
     151: 2q+1
     152: 2q+1
     153: 2q+1
     154: q^2+2q+1
     155: q^2+2q+1
     156: 2q+1
     157: 2q+1
     158: q^2+2q+1
     159: q^2+2q+1
     160: q^2+2q+1
     161: q^3+2q^2+2q+1
     162: q^2+2q+1
     163: q^2+2q+1
     164: 2q+1
     165: 2q+1
     166: q^6+q+1
     167: 2q+1
     168: 2q+1
     169: q^2+2q+1
     170: 2q+1
     171: q+1
     172: q^2+2q+1
     173: q^2+2q+1
     174: q^3+2q^2+2q+1
     175: 2q+1
     176: 2q+1
     177: q^2+2q+1
     178: q^2+2q+1
     179: q^3+2q^2+2q+1
     180: 2q+1
     181: 2q+1
     182: q^2+2q+1
     183: q^2+2q+1
     184: q^3+2q^2+2q+1
     185: 2q+1
     186: 2q+1
     187: q+1
     188: q+1
     189: 2q+1
     190: 2q+1
     191: 2q+1
     192: 2q+1
     193: q+1
     194: 2q+1
     195: 2q+1
     196: 2q+1
     197: q^2+2q+1
     198: q^2+2q+1
     199: 2q+1
     200: 2q+1
     201: 2q+1
     202: q^2+2q+1
     203: 2q+1
     204: 2q+1
     205: q^2+2q+1
     206: q^2+2q+1
     207: 2q+1
     208: 2q+1
     209: q^2+2q+1
     210: q^2+2q+1
     211: q^2+2q+1
     212: 2q+1
     213: 2q+1
     214: q^2+2q+1
     215: 2q+1
     216: 2q+1
     217: q^2+2q+1
     218: q^2+2q+1
     219: 2q+1
     220: 2q+1
     221: q^2+2q+1
     222: 2q+1
     223: q+1
     224: 2q+1
     225: 2q+1
     226: q^2+2q+1
     227: 2q+1
     228: q+1
     229: q^2+2q+1
     230: q^2+2q+1
     231: q^3+2q^2+2q+1
     232: 2q+1
     233: 2q+1
     234: q^2+2q+1
     235: q^2+2q+1
     236: q^3+2q^2+2q+1
     237: 2q+1
     238: 2q+1
     239: q+1
     240: 2q+1
     241: q+1
     242: q+1
     243: 2q+1
     244: 2q+1
     245: 2q+1
     246: 2q+1
     247: 2q+1
     248: 2q+1
     249: 2q+1
     250: 2q+1
     251: q+1
     252: 2q+1
     253: 2q+1
     254: 2q+1
     255: q^2+2q+1
     256: q^2+2q+1
     257: q^2+2q+1
     258: 2q+1
     259: 2q+1
     260: q^2+2q+1
     261: 2q+1
     262: 2q+1
     263: q^2+2q+1
     264: 2q+1
     265: 2q+1
     266: 2q+1
     267: 2q+1
     268: q^2+2q+1
     269: 2q+1
     270: q^2+2q+1
     271: 2q+1
     272: q^2+2q+1
     273: q^2+2q+1
     274: q^2+2q+1
     275: q+1
     276: q^2+2q+1
     277: q+1
     278: q+1
     279: 2q+1
     280: 2q+1
     281: q^2+2q+1
     282: 2q+1
     283: q+1
     284: q^2+2q+1
     285: q^2+2q+1
     286: q^3+2q^2+2q+1
     287: 2q+1
     288: 2q+1
     289: 2q+1
     290: 2q+1
     291: q^2+2q+1
     292: 2q+1
     293: q+1
     294: q+1
     295: q+1
     296: 2q+1
     297: 2q+1
     298: 2q+1
     299: q+1
     300: q+1
     301: q+1
     302: 2q+1
     303: q+1
     304: q+1
     305: 2q+1
     306: 2q+1
     307: 2q+1
     308: 2q+1
     309: 2q+1
     310: q^2+2q+1
     311: q^2+2q+1
     312: 2q+1
     313: 2q+1
     314: 2q+1
     315: 2q+1
     316: q^2+2q+1
     317: 2q+1
     318: q^2+2q+1
     319: 2q+1
     320: 2q+1
     321: 2q+1
     322: 2q+1
     323: 2q+1
     324: 2q+1
     325: q+1
     326: 2q+1
     327: 2q+1
     328: 2q+1
     329: q^2+2q+1
     330: q^2+2q+1
     331: q^2+2q+1
     332: q^2+2q+1
     333: q+1
     334: q^2+2q+1
     335: q+1
     336: q+1
     337: 2q+1
     338: 2q+1
     339: q^2+2q+1
     340: 2q+1
     341: q+1
     342: 2q+1
     343: 2q+1
     344: q^2+2q+1
     345: 2q+1
     346: q+1
     347: q+1
     348: 2q+1
     349: q+1
     350: q+1
     351: q+1
     352: q+1
     353: q+1
     354: q+1
     355: q+1
     356: 2q+1
     357: 2q+1
     358: 2q+1
     359: q+1
     360: q^2+2q+1
     361: 2q+1
     362: 2q+1
     363: 2q+1
     364: 2q+1
     365: 2q+1
     366: q+1
     367: 2q+1
     368: 2q+1
     369: 2q+1
     370: q^2+2q+1
     371: 2q+1
     372: 2q+1
     373: 2q+1
     374: q+1
     375: q+1
     376: 2q+1
     377: 2q+1
     378: 2q+1
     379: 2q+1
     380: 2q+1
     381: q^2+2q+1
     382: 2q+1
     383: q^2+2q+1
     384: q^2+2q+1
     385: q^2+2q+1
     386: q+1
     387: q^2+2q+1
     388: q+1
     389: q+1
     390: q+1
     391: 1
     392: q+1
     393: 1
     394: 1
     395: 2q+1
     396: 2q+1
     397: q^2+2q+1
     398: 2q+1
     399: q+1
     400: q+1
     401: q+1
     402: q+1
     403: q+1
     404: q+1
     405: q+1
     406: q+1
     407: 1
     408: 1
     409: 1
     410: q^2+2q+1
     411: q+1
     412: 2q+1
     413: q+1
     414: q+1
     415: q+1
     416: 2q+1
     417: 2q+1
     418: 2q+1
     419: q+1
     420: q+1
     421: 2q+1
     422: 2q+1
     423: 2q+1
     424: 2q+1
     425: 2q+1
     426: 2q+1
     427: q+1
     428: q+1
     429: 2q+1
     430: 2q+1
     431: 2q+1
     432: q+1
     433: 2q+1
     434: 2q+1
     435: q^2+2q+1
     436: q^2+2q+1
     437: 2q+1
     438: q+1
     439: 1
     440: q+1
     441: 1
     442: 1
     443: q+1
     444: 1
     445: q+1
     446: 1
     447: 1
     448: q+1
     449: 1
     450: 1
     451: q+1
     452: 1
     453: q+1
     454: 1
     455: 1
     456: 1
     457: 1
     458: 1
     459: q+1
     460: q+1
     461: q+1
     462: q+1
     463: q+1
     464: q+1
     465: 1
     466: 2q+1
     467: q+1
     468: q+1
     469: 2q+1
     470: 2q+1
     471: 2q+1
     472: q+1
     473: q+1
     474: q+1
     475: 2q+1
     476: q+1
     477: q+1
     478: q^2+2q+1
     479: 2q+1
     480: 2q+1
     481: q+1
     482: 2q+1
     483: 2q+1
     484: q+1
     485: 1
     486: q+1
     487: 1
     488: 1
     489: q+1
     490: 1
     491: q+1
     492: 1
     493: 1
     494: 1
     495: 1
     496: 1
     497: 1
     498: 1
     499: 1
     500: q+1
     501: 1
     502: 1
     503: 1
     504: 1
     505: 1
     506: q+1
     507: q+1
     508: q+1
     509: 1
     510: q+1
     511: 1
     512: 1
     513: q+1
     514: q+1
     515: 2q+1
     516: q+1
     517: q+1
     518: q+1
     519: q+1
     520: q+1
     521: q+1
     522: 1
     523: q+1
     524: 2q+1
     525: q+1
     526: 2q+1
     527: 2q+1
     528: q+1
     529: 1
     530: q+1
     531: 1
     532: 1
     533: 1
     534: 1
     535: 1
     536: 1
     537: 1
     538: 1
     539: 1
     540: 1
     541: 1
     542: q+1
     543: q+1
     544: 1
     545: 1
     546: 1
     547: 1
     548: 1
     549: q+1
     550: q+1
     551: q+1
     552: q+1
     553: 1
     554: q+1
     555: 1
     556: q+1
     557: 1
     558: 1
     559: q+1
     560: q+1
     561: q+1
     562: 2q+1
     570: 1
     572: 1
     573: 1
     574: 1
     576: 1
     577: 1
     578: 1
     579: 1
     580: 1
     581: q+1
     582: q+1
     583: 1
     584: 1
     585: 1
     586: q+1
     587: 1
     588: 1
     589: 1
     590: 1
     591: 1
     592: q+1
     593: q+1
     595: 1
     598: 1
     599: 1
     600: 1
     602: q+1
     603: 1
     604: 1
     605: 1
     606: 1
     607: 1
     608: 1
     609: 1
     610: 1
     611: 1
     612: 1
     617: 1
     619: 1
     620: 1
     621: 1
     622: 1
     623: 1
     624: 1
     625: 1
     626: 1
     632: 1
     633: 1
     634: 1
     636: 1
     641: 1

642:   0: q^4+2q^3+3q^2+2q+1
       1: q^3+2q^2+2q+1
       2: q^4+2q^3+3q^2+2q+1
       3: q^3+2q^2+2q+1
       4: q^4+2q^3+3q^2+2q+1
       5: q^3+2q^2+2q+1
       6: q^2+2q+1
       7: q^3+2q^2+2q+1
       8: q^4+2q^3+3q^2+2q+1
       9: q^3+2q^2+2q+1
      10: q^2+2q+1
      11: q^3+2q^2+2q+1
      12: q^2+2q+1
      13: q^5+2q^4+3q^3+3q^2+2q+1
      14: q^2+2q+1
      15: q^3+2q^2+2q+1
      16: q^2+2q+1
      17: q^2+2q+1
      18: q+1
      19: q+1
      20: q+1
      21: q^3+2q^2+2q+1
      22: q^2+2q+1
      23: q^3+2q^2+2q+1
      24: q^2+2q+1
      25: q+1
      26: q^3+2q^2+2q+1
      27: q^2+2q+1
      28: q^3+2q^2+2q+1
      29: q^2+2q+1
      30: q+1
      31: q^3+2q^2+2q+1
      32: q^2+2q+1
      33: q^3+2q^2+2q+1
      34: q+1
      35: q+1
      36: q^4+2q^3+3q^2+2q+1
      37: q^4+2q^3+3q^2+2q+1
      38: q^2+2q+1
      39: q^2+2q+1
      40: q^2+2q+1
      41: q^3+2q^2+2q+1
      42: q^2+2q+1
      43: q^2+2q+1
      44: q^4+2q^3+3q^2+2q+1
      45: q^2+2q+1
      46: q^4+2q^3+3q^2+2q+1
      47: q^3+2q^2+2q+1
      48: q^4+2q^3+3q^2+2q+1
      49: q^3+2q^2+2q+1
      50: q^3+2q^2+2q+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^2+2q+1
      57: q^3+2q^2+2q+1
      58: q^3+2q^2+2q+1
      59: q^3+2q^2+2q+1
      60: q^4+2q^3+3q^2+2q+1
      61: q^3+2q^2+2q+1
      62: q^2+2q+1
      63: q^3+2q^2+2q+1
      64: q^2+2q+1
      65: q+1
      66: q^3+2q^2+2q+1
      67: q^2+2q+1
      68: q^3+2q^2+2q+1
      69: q+1
      70: q+1
      71: q^3+2q^2+2q+1
      72: q^3+2q^2+2q+1
      73: q^2+2q+1
      74: q+1
      75: q+1
      76: q^3+2q^2+2q+1
      77: q^2+2q+1
      78: q^4+2q^3+3q^2+2q+1
      79: q^2+2q+1
      80: q^2+2q+1
      81: q^3+2q^2+2q+1
      82: q^2+2q+1
      83: q^4+2q^3+3q^2+2q+1
      84: q^2+2q+1
      85: q^2+2q+1
      86: q^4+2q^3+3q^2+2q+1
      87: q^3+2q^2+2q+1
      88: q^4+2q^3+3q^2+2q+1
      89: q^3+2q^2+2q+1
      90: q^3+2q^2+2q+1
      91: q+1
      92: q+1
      93: q^2+2q+1
      94: q+1
      95: q^2+2q+1
      96: q^2+2q+1
      97: q^2+2q+1
      98: q^2+2q+1
      99: q^2+2q+1
     100: q^3+2q^2+2q+1
     101: q^3+2q^2+2q+1
     102: q^3+2q^2+2q+1
     103: q^3+2q^2+2q+1
     104: q^2+2q+1
     105: q^2+2q+1
     106: q^2+2q+1
     107: q^3+2q^2+2q+1
     108: q^3+2q^2+2q+1
     109: q^3+2q^2+2q+1
     110: q^4+2q^3+3q^2+2q+1
     111: q^3+2q^2+2q+1
     112: q^2+2q+1
     113: q^3+2q^2+2q+1
     114: q+1
     115: q+1
     116: q^3+2q^2+2q+1
     117: q^3+2q^2+2q+1
     118: q^2+2q+1
     119: q+1
     120: q+1
     121: q^2+2q+1
     122: q^2+2q+1
     123: q^3+2q^2+2q+1
     124: q+1
     125: q+1
     126: q^3+2q^2+2q+1
     127: q^2+2q+1
     128: q^4+2q^3+3q^2+2q+1
     129: q^2+2q+1
     130: q^2+2q+1
     131: q^3+2q^2+2q+1
     132: q^2+2q+1
     133: q^4+2q^3+3q^2+2q+1
     134: q^2+2q+1
     135: q^2+2q+1
     136: q+1
     137: q+1
     138: q+1
     139: q+1
     140: q^2+2q+1
     141: q^2+2q+1
     142: q+1
     143: q+1
     144: q^2+2q+1
     145: q^2+2q+1
     146: q^2+2q+1
     147: q^3+2q^2+2q+1
     148: q^3+2q^2+2q+1
     149: q^2+2q+1
     150: q^2+2q+1
     151: q^2+2q+1
     152: q^2+2q+1
     153: q^2+2q+1
     154: q^3+2q^2+2q+1
     155: q^3+2q^2+2q+1
     156: q^2+2q+1
     157: q^2+2q+1
     158: q^2+2q+1
     159: q^3+2q^2+2q+1
     160: q^3+2q^2+2q+1
     161: q^3+2q^2+2q+1
     162: q^3+2q^2+2q+1
     163: q^3+2q^2+2q+1
     164: q^2+2q+1
     165: q+1
     166: q+1
     167: q^2+2q+1
     168: q^2+2q+1
     169: q^3+2q^2+2q+1
     170: q+1
     171: q+1
     172: q^2+2q+1
     173: q^2+2q+1
     174: q^3+2q^2+2q+1
     175: q+1
     176: q+1
     177: q^3+2q^2+2q+1
     178: q^2+2q+1
     179: q^4+2q^3+3q^2+2q+1
     180: q^2+2q+1
     181: q^2+2q+1
     182: q^3+2q^2+2q+1
     183: q^2+2q+1
     184: q^4+2q^3+3q^2+2q+1
     185: q^2+2q+1
     186: q^2+2q+1
     187: q+1
     188: q+1
     189: q+1
     190: q^2+2q+1
     191: q+1
     192: q+1
     193: q+1
     194: q+1
     195: q^2+2q+1
     196: q^2+2q+1
     197: q^2+2q+1
     198: q^3+2q^2+2q+1
     199: q^2+2q+1
     200: q+1
     201: q+1
     202: q^2+2q+1
     203: q^2+2q+1
     204: q^2+2q+1
     205: q^2+2q+1
     206: q^3+2q^2+2q+1
     207: q^2+2q+1
     208: q^2+2q+1
     209: q^2+2q+1
     210: q^2+2q+1
     211: q^2+2q+1
     212: q^2+2q+1
     213: q^2+2q+1
     214: q^3+2q^2+2q+1
     215: q^2+2q+1
     216: q^2+2q+1
     217: q^3+2q^2+2q+1
     218: q^3+2q^2+2q+1
     219: q^2+2q+1
     220: q^2+2q+1
     221: q^3+2q^2+2q+1
     222: q+1
     223: q+1
     224: q^2+2q+1
     225: q^2+2q+1
     226: q^3+2q^2+2q+1
     227: q+1
     228: q+1
     229: q^3+2q^2+2q+1
     230: q^2+2q+1
     231: q^4+2q^3+3q^2+2q+1
     232: q^2+2q+1
     233: q^2+2q+1
     234: q^2+2q+1
     235: q^2+2q+1
     236: q^3+2q^2+2q+1
     237: q+1
     238: q+1
     239: q+1
     240: q+1
     241: q+1
     242: q+1
     243: q+1
     244: q^2+2q+1
     245: q+1
     246: q^2+2q+1
     247: q^2+2q+1
     248: q+1
     249: q^2+2q+1
     250: q+1
     251: q+1
     252: q+1
     253: q^2+2q+1
     254: q^2+2q+1
     255: q^2+2q+1
     256: q^2+2q+1
     257: q^2+2q+1
     258: q^2+2q+1
     259: q^2+2q+1
     260: q^3+2q^2+2q+1
     261: q^2+2q+1
     262: q^2+2q+1
     263: q^2+2q+1
     264: q^2+2q+1
     265: q^2+2q+1
     266: q+1
     267: q+1
     268: q^2+2q+1
     269: q^2+2q+1
     270: q^2+2q+1
     271: q^2+2q+1
     272: q^3+2q^2+2q+1
     273: q^3+2q^2+2q+1
     274: q^3+2q^2+2q+1
     275: q+1
     276: q^3+2q^2+2q+1
     277: q+1
     278: q+1
     279: q^2+2q+1
     280: q^2+2q+1
     281: q^3+2q^2+2q+1
     282: q+1
     283: q+1
     284: q^2+2q+1
     285: q^2+2q+1
     286: q^3+2q^2+2q+1
     287: q+1
     288: q+1
     289: q^2+2q+1
     290: q^2+2q+1
     291: q^3+2q^2+2q+1
     292: q+1
     293: q+1
     294: q+1
     295: q+1
     296: q+1
     297: q+1
     298: q^2+2q+1
     299: q+1
     300: q+1
     301: q+1
     302: q+1
     303: q+1
     304: q+1
     305: q+1
     306: q^2+2q+1
     307: q+1
     308: q^2+2q+1
     309: q^2+2q+1
     310: q^3+2q^2+2q+1
     311: q^2+2q+1
     312: q^2+2q+1
     313: q^2+2q+1
     314: q+1
     315: q+1
     316: q^2+2q+1
     317: q^2+2q+1
     318: q^2+2q+1
     319: q^2+2q+1
     320: q^2+2q+1
     321: q^2+2q+1
     322: q+1
     323: q^2+2q+1
     324: q+1
     325: q+1
     326: q+1
     327: q^2+2q+1
     328: q^2+2q+1
     329: q^2+2q+1
     330: q^2+2q+1
     331: q^3+2q^2+2q+1
     332: q^2+2q+1
     333: q+1
     334: q^2+2q+1
     335: 1
     336: 1
     337: q^2+2q+1
     338: q^2+2q+1
     339: q^3+2q^2+2q+1
     340: q+1
     341: q+1
     342: q^2+2q+1
     343: q^2+2q+1
     344: q^3+2q^2+2q+1
     345: q+1
     346: q+1
     347: q+1
     348: q+1
     349: q+1
     350: 1
     351: 1
     352: q+1
     353: q+1
     354: q+1
     355: q+1
     356: q+1
     357: q+1
     358: q^2+2q+1
     359: q+1
     360: q^2+2q+1
     361: q^2+2q+1
     362: q^2+2q+1
     363: q+1
     364: q^2+2q+1
     365: q+1
     366: q+1
     367: q+1
     368: q^2+2q+1
     369: q^2+2q+1
     370: q^2+2q+1
     371: q+1
     372: q^2+2q+1
     373: q+1
     374: q+1
     375: q+1
     376: q+1
     377: q^2+2q+1
     378: q+1
     379: q^2+2q+1
     380: q^2+2q+1
     381: q^2+2q+1
     382: q^2+2q+1
     383: q^3+2q^2+2q+1
     384: q^2+2q+1
     385: q^2+2q+1
     386: q+1
     387: q^2+2q+1
     388: 1
     389: 1
     390: q^2+2q+1
     391: q+1
     392: q^2+2q+1
     393: 1
     394: 1
     395: q^2+2q+1
     396: q^2+2q+1
     397: q^3+2q^2+2q+1
     398: q+1
     399: q+1
     400: 1
     401: 1
     402: q+1
     403: q+1
     404: 1
     405: q+1
     406: 1
     407: 1
     408: 1
     409: q+1
     410: q^2+2q+1
     411: q+1
     412: q+1
     413: q+1
     414: q^2+2q+1
     415: q+1
     416: q+1
     417: q^2+2q+1
     418: q+1
     419: q+1
     420: q+1
     421: q+1
     422: q^2+2q+1
     423: q+1
     424: q^2+2q+1
     425: q^2+2q+1
     426: q+1
     427: q+1
     428: q+1
     429: q+1
     430: q+1
     431: q^2+2q+1
     432: q+1
     433: q^2+2q+1
     434: q^2+2q+1
     435: q^2+2q+1
     436: q^2+2q+1
     437: q^2+2q+1
     438: q^2+2q+1
     439: q+1
     440: q^2+2q+1
     441: 1
     442: 1
     443: q^2+2q+1
     444: q+1
     445: q^2+2q+1
     446: 1
     447: 1
     448: 1
     449: 1
     450: 1
     451: 1
     452: q+1
     453: 1
     454: 1
     455: 1
     456: 1
     457: q+1
     458: 1
     459: q^2+2q+1
     460: q+1
     461: q+1
     462: 1
     463: q+1
     464: q^2+2q+1
     465: q+1
     466: q+1
     467: q+1
     468: q+1
     469: q+1
     470: q+1
     471: q^2+2q+1
     472: q+1
     473: q+1
     474: q+1
     475: q+1
     476: q+1
     477: q+1
     478: q^2+2q+1
     479: q+1
     480: q^2+2q+1
     481: q^2+2q+1
     482: q^2+2q+1
     483: q^2+2q+1
     484: q+1
     485: 1
     486: q+1
     487: 1
     489: q^2+2q+1
     490: q+1
     491: q^2+2q+1
     492: 1
     493: 1
     495: 1
     496: 1
     497: 1
     498: 1
     499: 1
     500: 1
     501: q+1
     502: 1
     503: 1
     504: 1
     505: 1
     506: q+1
     507: q^2+2q+1
     508: 1
     509: q+1
     510: 1
     511: 1
     512: q+1
     513: q+1
     514: q+1
     515: q+1
     516: q+1
     517: q+1
     518: q+1
     519: q+1
     520: 1
     521: q+1
     522: q+1
     523: q^2+2q+1
     524: q+1
     525: q^2+2q+1
     526: q+1
     527: q^2+2q+1
     528: q+1
     529: 1
     530: q+1
     531: 1
     535: 1
     536: 1
     537: 1
     538: 1
     539: 1
     540: 1
     541: 1
     542: q+1
     543: 1
     544: 1
     545: 1
     546: q+1
     547: 1
     548: 1
     549: q+1
     550: 1
     551: q+1
     552: q+1
     553: q+1
     554: 1
     555: q+1
     556: 1
     557: 1
     558: q+1
     559: q+1
     560: q^2+2q+1
     561: q+1
     562: q+1
     563: q+1
     564: 1
     565: q+1
     566: 1
     569: 1
     571: 1
     573: 1
     574: 1
     575: q+1
     576: 1
     577: 1
     578: 1
     579: 1
     580: 1
     581: 1
     582: 1
     583: q+1
     584: 1
     585: q+1
     586: 1
     587: 1
     588: 1
     589: q+1
     590: 1
     591: 1
     592: q+1
     593: q+1
     596: 1
     599: 1
     600: 1
     601: 1
     602: 1
     603: 1
     604: 1
     605: 1
     606: q+1
     607: 1
     608: 1
     609: 1
     610: 1
     611: 1
     612: 1
     613: q+1
     618: 1
     619: 1
     620: 1
     621: 1
     622: 1
     623: 1
     625: 1
     626: 1
     627: 1
     633: 1
     634: 1
     635: 1
     637: 1
     642: 1

643:   0: q+1
       1: q+1
       2: q+1
       3: q+1
       4: q^2+q+1
       5: q+1
       6: q+1
       7: q^2+q+1
       8: q^2+q+1
       9: q+1
      10: q+1
      11: q^2+q+1
      12: q+1
      13: q^2+q+1
      14: q+1
      15: q^2+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^2+q+1
      24: q+1
      25: q+1
      26: q+1
      27: q+1
      28: q^2+q+1
      29: q+1
      30: q+1
      31: q+1
      32: q+1
      33: q^2+q+1
      34: q+1
      35: q+1
      36: q+1
      37: q^2+q+1
      38: q+1
      39: q+1
      40: q+1
      41: q+1
      42: q+1
      43: q+1
      44: q^2+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+q+1
      64: q+1
      65: q+1
      66: q+1
      67: q+1
      68: q^2+q+1
      69: q+1
      70: q+1
      71: q+1
      72: q^2+q+1
      73: q+1
      74: q+1
      75: q+1
      76: q+1
      77: q+1
      78: q^2+q+1
      79: q+1
      80: q+1
      81: q+1
      82: q+1
      83: q+1
      84: q+1
      85: q+1
      86: q+1
      87: 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+1
     109: q+1
     110: q+1
     111: q+1
     112: q+1
     113: q^2+q+1
     114: q+1
     115: q+1
     116: q+1
     117: q^2+q+1
     118: q+1
     119: q+1
     120: q+1
     121: q+1
     122: q+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: q+1
     134: q+1
     135: q+1
     136: q+1
     137: q+1
     138: q+1
     139: q+1
     140: q+1
     141: q+1
     142: q+1
     143: q+1
     144: q+1
     145: q+1
     146: q+1
     147: q+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: q+1
     160: q+1
     161: q+1
     162: q+1
     163: q^2+q+1
     164: q+1
     165: q+1
     166: q+1
     167: q+1
     168: q+1
     169: q^2+q+1
     170: q+1
     171: q+1
     172: q+1
     173: q+1
     174: q+1
     175: q+1
     176: q+1
     177: 1
     178: 1
     179: q+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: q+1
     191: q+1
     192: q+1
     193: q+1
     194: q+1
     195: q+1
     196: q+1
     197: q+1
     198: q+1
     199: q+1
     200: q+1
     201: q+1
     202: q+1
     203: q+1
     204: q+1
     205: q+1
     206: 1
     207: 1
     208: 1
     209: 1
     210: q+1
     211: q+1
     212: q+1
     213: q+1
     214: q+1
     215: q+1
     216: q+1
     217: q+1
     218: q+1
     219: q+1
     220: q+1
     221: q^2+q+1
     222: q+1
     223: q+1
     224: q+1
     225: q+1
     226: q+1
     227: q+1
     228: q+1
     229: 1
     230: 1
     231: q+1
     232: 1
     233: 1
     234: q+1
     235: q+1
     236: q+1
     237: q+1
     238: q+1
     239: q+1
     240: q+1
     241: q+1
     242: q+1
     243: q+1
     244: q+1
     245: q+1
     246: q+1
     247: q+1
     248: q+1
     249: q+1
     250: q+1
     251: q+1
     252: q+1
     253: q+1
     254: q+1
     255: q+1
     256: 1
     257: 1
     258: 1
     259: 1
     260: 1
     261: 1
     262: 1
     263: q+1
     264: q+1
     265: q+1
     266: q+1
     267: q+1
     268: q+1
     269: q+1
     270: q+1
     271: q+1
     272: q+1
     273: 1
     274: 1
     275: 1
     276: q+1
     277: 1
     278: 1
     279: q+1
     280: q+1
     281: q+1
     282: q+1
     283: q+1
     284: 1
     285: 1
     286: q+1
     287: 1
     288: 1
     289: q+1
     290: q+1
     291: q+1
     292: q+1
     293: q+1
     294: q+1
     295: q+1
     296: q+1
     297: q+1
     298: q+1
     299: 1
     300: 1
     301: 1
     302: q+1
     303: q+1
     304: q+1
     305: q+1
     306: q+1
     307: q+1
     308: q+1
     309: q+1
     310: 1
     311: 1
     312: 1
     313: 1
     314: 1
     315: 1
     316: 1
     317: 1
     318: 1
     319: 1
     320: q+1
     321: q+1
     322: q+1
     323: q+1
     324: q+1
     325: q+1
     326: q+1
     327: q+1
     328: q+1
     329: q+1
     330: 1
     331: 1
     332: 1
     333: 1
     334: q+1
     335: 1
     336: 1
     337: 1
     338: 1
     339: q+1
     340: 1
     341: 1
     342: q+1
     343: q+1
     344: q+1
     345: q+1
     346: q+1
     347: q+1
     348: q+1
     349: 1
     350: 1
     351: 1
     352: 1
     353: 1
     354: q+1
     355: q+1
     356: q+1
     357: q+1
     358: q+1
     359: 1
     360: 1
     361: 1
     362: 1
     363: 1
     364: 1
     365: 1
     366: 1
     367: 1
     368: 1
     369: 1
     370: 1
     371: q+1
     372: q+1
     373: q+1
     374: q+1
     375: q+1
     376: q+1
     377: q+1
     378: q+1
     379: q+1
     380: q+1
     381: 1
     382: 1
     383: 1
     384: 1
     385: 1
     386: 1
     387: q+1
     388: 1
     389: 1
     390: 1
     391: 1
     392: q+1
     393: 1
     394: 1
     395: 1
     396: 1
     397: q+1
     398: 1
     399: 1
     400: 1
     401: 1
     402: 1
     403: q+1
     404: 1
     405: 1
     406: 1
     407: 1
     408: 1
     409: 1
     410: 1
     411: q+1
     412: q+1
     413: 1
     414: 1
     415: 1
     416: 1
     417: 1
     418: 1
     419: 1
     420: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     426: q+1
     427: q+1
     428: q+1
     429: q+1
     430: q+1
     431: q+1
     432: 1
     433: 1
     434: 1
     435: 1
     436: 1
     437: 1
     438: 1
     439: 1
     440: q+1
     441: 1
     442: 1
     443: 1
     444: 1
     445: q+1
     446: 1
     447: 1
     448: 1
     449: 1
     450: 1
     451: 1
     452: 1
     453: 1
     454: 1
     455: 1
     456: 1
     457: 1
     458: 1
     459: 1
     460: q+1
     461: 1
     462: 1
     463: 1
     464: 1
     465: 1
     466: 1
     467: 1
     468: 1
     469: 1
     470: 1
     471: 1
     473: q+1
     474: q+1
     475: q+1
     476: 1
     477: 1
     478: 1
     479: 1
     480: 1
     481: 1
     482: 1
     483: 1
     484: 1
     485: 1
     486: q+1
     487: 1
     488: 1
     489: 1
     490: 1
     491: q+1
     492: 1
     493: 1
     494: 1
     495: 1
     496: 1
     497: 1
     498: 1
     499: 1
     500: 1
     501: 1
     502: 1
     503: 1
     504: 1
     505: 1
     506: 1
     507: 1
     508: 1
     509: 1
     510: 1
     511: 1
     512: 1
     513: 1
     514: 1
     515: 1
     518: q+1
     519: 1
     520: 1
     521: 1
     522: 1
     523: 1
     524: 1
     525: 1
     526: 1
     527: 1
     528: 1
     529: 1
     530: q+1
     531: 1
     532: 1
     533: 1
     534: 1
     535: 1
     536: 1
     537: 1
     538: 1
     539: 1
     540: 1
     541: 1
     542: 1
     543: 1
     544: 1
     545: 1
     546: 1
     547: 1
     548: 1
     549: 1
     554: 1
     555: 1
     556: 1
     557: 1
     558: 1
     559: 1
     560: 1
     561: 1
     562: 1
     563: 1
     564: 1
     565: q+1
     566: 1
     567: 1
     568: 1
     569: 1
     570: 1
     571: 1
     572: 1
     573: 1
     574: 1
     575: 1
     576: 1
     577: 1
     578: 1
     579: 1
     580: 1
     586: 1
     587: 1
     588: 1
     589: 1
     590: 1
     591: 1
     592: 1
     593: 1
     594: 1
     595: 1
     596: 1
     598: 1
     599: 1
     600: 1
     601: 1
     608: 1
     609: 1
     610: 1
     611: 1
     612: 1
     613: 1
     614: 1
     617: 1
     618: 1
     624: 1
     625: 1
     626: 1
     627: 1
     631: 1
     636: 1
     637: 1
     643: 1

644:   0: q^3+q^2+1
       1: q^2+1
       2: q^3+q^2+1
       3: q^3+q^2+1
       4: q^3+q^2+1
       5: q^2+1
       6: q^2+1
       7: q^2+1
       8: q^3+q^2+1
       9: 1
      10: q^2+1
      11: q^2+1
      12: q^2+1
      13: q^3+q^2+1
      14: 1
      15: 1
      16: q^2+1
      17: 1
      18: 1
      19: q^8+1
      20: q^8+1
      21: 1
      22: 1
      23: 1
      24: 1
      25: 1
      26: q^2+1
      27: q^2+1
      28: q^2+1
      29: q^2+1
      30: q^8+1
      31: q^2+1
      32: q^2+1
      33: q^2+1
      34: 1
      35: 1
      36: q^3+q^2+1
      37: q^3+q^2+1
      38: q^2+1
      39: q^2+1
      40: 1
      41: q^3+q^2+1
      42: q^2+1
      43: q^2+1
      44: q^3+q^2+1
      45: 1
      46: q^3+q^2+1
      47: q^2+1
      48: q^3+q^2+1
      49: q^2+1
      50: 1
      51: 1
      52: 1
      53: q^2+1
      54: 1
      55: q^2+1
      56: q^2+1
      57: 1
      58: q^2+1
      59: q^2+1
      60: q^3+q^2+1
      61: 1
      62: 1
      63: 1
      64: 1
      65: 1
      66: q^2+1
      67: q^2+1
      68: q^2+1
      69: 1
      70: 1
      71: q^2+1
      72: q^2+1
      73: q^2+1
      74: 1
      75: 1
      76: q^3+q^2+1
      77: q^2+1
      78: q^3+q^2+1
      79: q^2+1
      80: 1
      81: q^3+q^2+1
      82: q^2+1
      83: q^3+q^2+1
      84: q^2+1
      85: 1
      86: q^3+q^2+1
      87: q^2+1
      88: q^3+q^2+1
      89: q^2+1
      90: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: q^2+1
      96: 1
      97: q^2+1
      98: 1
      99: q^2+1
     100: q^3+q^2+1
     101: 1
     102: q^2+1
     103: q^2+1
     104: 1
     105: q^2+1
     106: q^2+1
     107: 1
     108: q^2+1
     109: q^2+1
     110: q^3+q^2+1
     111: 1
     112: 1
     113: 1
     114: 1
     115: 1
     116: q^2+1
     117: q^2+1
     118: q^2+1
     119: 1
     120: 1
     121: q^2+1
     122: q^2+1
     123: q^2+1
     124: 1
     125: 1
     126: q^3+q^2+1
     127: q^2+1
     128: q^3+q^2+1
     129: q^2+1
     130: 1
     131: q^3+q^2+1
     132: q^2+1
     133: q^3+q^2+1
     134: q^2+1
     135: 1
     136: 1
     137: 1
     138: 1
     139: 1
     140: q^2+1
     141: 1
     142: 1
     143: 1
     144: 1
     145: q^2+1
     146: q^2+1
     147: 1
     148: q^2+1
     149: q^2+1
     150: 1
     151: q^2+1
     152: 1
     153: q^2+1
     154: q^3+q^2+1
     155: q^3+q^2+1
     156: 1
     157: q^2+1
     158: q^2+1
     159: 1
     160: q^2+1
     161: q^2+1
     162: 1
     163: 1
     164: 1
     165: 1
     166: 1
     167: q^2+1
     168: q^2+1
     169: q^2+1
     170: 1
     171: 1
     172: q^2+1
     173: q^2+1
     174: q^2+1
     175: 1
     176: 1
     177: q^3+q^2+1
     178: q^2+1
     179: q^3+q^2+1
     180: q^2+1
     181: 1
     182: q^3+q^2+1
     183: q^2+1
     184: q^3+q^2+1
     185: q^2+1
     186: 1
     187: 1
     188: 1
     189: 1
     190: 1
     191: 1
     192: 1
     193: 1
     194: 1
     195: q^2+1
     196: q^2+1
     197: q^2+1
     198: 1
     199: q^2+1
     200: 1
     201: 1
     202: q^2+1
     203: 1
     204: 1
     205: q^2+1
     206: q^3+q^2+1
     207: 1
     208: q^2+1
     209: q^2+1
     210: q^2+1
     211: q^2+1
     212: 1
     213: q^2+1
     214: q^3+q^2+1
     215: 1
     216: q^2+1
     217: 1
     218: q^2+1
     219: 1
     220: 1
     221: 1
     222: 1
     223: 1
     224: q^2+1
     225: q^2+1
     226: q^2+1
     227: 1
     228: 1
     229: q^3+q^2+1
     230: q^2+1
     231: q^3+q^2+1
     232: q^2+1
     233: 1
     234: q^2+1
     235: q^2+1
     236: q^2+1
     237: 1
     238: 1
     239: 1
     240: 1
     241: 1
     242: 1
     243: 1
     244: 1
     245: 1
     246: 1
     247: q^2+1
     248: 1
     249: 1
     250: 1
     251: 1
     252: 1
     253: q^2+1
     254: q^2+1
     255: q^2+1
     256: q^2+1
     257: q^2+1
     258: 1
     259: q^2+1
     260: q^3+q^2+1
     261: 1
     262: q^2+1
     263: q^2+1
     264: q^2+1
     265: q^2+1
     266: 1
     267: 1
     268: q^2+1
     269: 1
     270: q^2+1
     271: 1
     272: 1
     273: q^3+q^2+1
     274: q^3+q^2+1
     275: q^2+1
     276: q^3+q^2+1
     277: q^2+1
     278: 1
     279: 1
     280: 1
     281: 1
     282: 1
     283: 1
     284: q^2+1
     285: q^2+1
     286: q^2+1
     287: 1
     288: 1
     289: q^2+1
     290: q^2+1
     291: q^2+1
     292: 1
     293: 1
     294: 1
     295: 1
     296: 1
     297: 1
     298: 1
     299: q^2+1
     300: 1
     301: q^2+1
     302: 1
     303: 1
     304: 1
     305: 1
     306: 1
     307: 1
     308: 1
     309: q^2+1
     310: q^3+q^2+1
     311: q^2+1
     312: q^2+1
     313: q^2+1
     314: 1
     315: 1
     316: q^2+1
     317: 1
     318: q^2+1
     319: 1
     320: q^2+1
     321: 1
     322: 1
     323: 1
     324: 1
     325: 1
     326: 1
     327: q^2+1
     328: q^2+1
     329: q^2+1
     330: q^2+1
     331: q^3+q^2+1
     332: q^2+1
     333: q^2+1
     334: q^2+1
     335: 1
     336: 1
     337: q^2+1
     338: q^2+1
     339: q^2+1
     340: 1
     341: 1
     342: 1
     343: 1
     344: 1
     345: 1
     346: 1
     347: 1
     348: 1
     349: q^2+1
     350: 1
     351: 1
     352: q^2+1
     353: 1
     354: 1
     355: 1
     356: 1
     357: 1
     358: 1
     359: q^2+1
     360: q^2+1
     361: q^2+1
     362: 1
     363: 1
     364: 1
     365: 1
     366: 1
     367: 1
     368: q^2+1
     369: q^2+1
     370: q^2+1
     371: 1
     372: 1
     373: 1
     374: 1
     375: 1
     376: 1
     377: 1
     378: 1
     379: 1
     380: q^2+1
     381: q^2+1
     382: q^2+1
     383: q^3+q^2+1
     384: q^2+1
     385: q^2+1
     386: q^2+1
     387: q^2+1
     388: 1
     389: 1
     390: q^2+1
     391: q^2+1
     392: q^2+1
     393: 1
     394: 1
     395: 1
     396: 1
     397: 1
     398: 1
     399: 1
     400: 1
     401: 1
     402: q^2+1
     403: 1
     404: 1
     405: 1
     406: 1
     407: 1
     408: 1
     409: q^2+1
     410: q^2+1
     411: 1
     412: 1
     413: q^2+1
     414: q^2+1
     415: q^2+1
     416: 1
     417: 1
     418: 1
     419: 1
     420: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: q^2+1
     426: 1
     427: 1
     428: 1
     429: 1
     430: 1
     431: 1
     432: q^2+1
     433: q^2+1
     434: 1
     435: q^2+1
     436: q^2+1
     437: q^2+1
     438: q^2+1
     439: q^2+1
     440: q^2+1
     441: 1
     442: 1
     443: 1
     444: 1
     445: 1
     446: 1
     447: 1
     448: 1
     449: 1
     450: 1
     451: 1
     452: q^2+1
     453: 1
     454: 1
     455: 1
     456: 1
     457: 1
     458: 1
     459: q^2+1
     460: 1
     461: q^2+1
     462: 1
     463: 1
     464: 1
     465: q^2+1
     466: 1
     467: 1
     468: 1
     469: 1
     470: 1
     471: 1
     472: q^2+1
     473: 1
     474: 1
     475: 1
     476: q^2+1
     477: q^2+1
     478: q^2+1
     479: 1
     480: 1
     481: q^2+1
     482: q^2+1
     483: 1
     484: 1
     485: 1
     486: 1
     487: 1
     488: 1
     489: 1
     490: 1
     491: 1
     492: 1
     493: 1
     494: 1
     495: 1
     496: 1
     497: 1
     498: 1
     499: 1
     500: 1
     501: 1
     502: 1
     503: 1
     504: 1
     505: 1
     506: 1
     507: 1
     508: 1
     509: q^2+1
     510: 1
     511: 1
     512: 1
     513: 1
     514: 1
     515: 1
     516: q^2+1
     517: q^2+1
     518: 1
     519: q^2+1
     520: 1
     521: 1
     522: q^2+1
     523: q^2+1
     524: 1
     525: 1
     526: 1
     527: 1
     534: 1
     536: 1
     538: 1
     539: 1
     540: 1
     541: 1
     543: 1
     544: 1
     545: 1
     546: 1
     547: 1
     548: 1
     549: 1
     550: 1
     551: 1
     552: q^2+1
     553: q^2+1
     554: 1
     555: q^2+1
     556: 1
     557: 1
     558: 1
     559: 1
     560: 1
     561: 1
     562: 1
     572: 1
     574: 1
     576: 1
     577: 1
     578: 1
     580: 1
     581: 1
     582: 1
     583: q^2+1
     584: 1
     585: 1
     586: 1
     587: 1
     588: 1
     589: 1
     590: 1
     591: 1
     593: 1
     597: 1
     598: 1
     600: 1
     602: 1
     603: 1
     604: 1
     605: 1
     606: 1
     607: 1
     608: 1
     609: 1
     610: 1
     612: 1
     615: 1
     616: 1
     619: 1
     620: 1
     621: 1
     623: 1
     624: 1
     626: 1
     628: 1
     629: 1
     630: 1
     632: 1
     634: 1
     638: 1
     640: 1
     644: 1

645:   0: q^3+2q^2+2q+1
       1: q^3+2q^2+2q+1
       2: q^4+2q^3+2q^2+2q+1
       3: q^3+2q^2+2q+1
       4: q^3+2q^2+2q+1
       5: q^2+2q+1
       6: q^3+2q^2+2q+1
       7: q^3+2q^2+2q+1
       8: q^4+2q^3+2q^2+2q+1
       9: q^2+2q+1
      10: q^2+2q+1
      11: q^2+2q+1
      12: q^2+2q+1
      13: q^4+2q^3+2q^2+2q+1
      14: q^2+2q+1
      15: q^2+2q+1
      16: q^7+2q+1
      17: q^7+2q+1
      18: q^7+2q+1
      19: q^7+2q+1
      20: q^8+q^7+q+1
      21: q^2+2q+1
      22: q^2+2q+1
      23: q^2+2q+1
      24: q^7+2q+1
      25: q^7+2q+1
      26: q^2+2q+1
      27: q^2+2q+1
      28: q^2+2q+1
      29: 2q+1
      30: q^7+q+1
      31: q^3+2q^2+2q+1
      32: q^3+2q^2+2q+1
      33: q^3+2q^2+2q+1
      34: q^7+2q+1
      35: q^7+2q+1
      36: q^3+2q^2+2q+1
      37: q^3+2q^2+2q+1
      38: q^2+2q+1
      39: 2q+1
      40: 2q+1
      41: q^3+2q^2+2q+1
      42: q^3+2q^2+2q+1
      43: q^2+2q+1
      44: q^4+2q^3+2q^2+2q+1
      45: q^2+2q+1
      46: q^3+2q^2+2q+1
      47: q^3+2q^2+2q+1
      48: q^4+2q^3+2q^2+2q+1
      49: q^2+2q+1
      50: q^2+2q+1
      51: q^7+2q+1
      52: 2q+1
      53: 2q+1
      54: q^2+2q+1
      55: q^2+2q+1
      56: q^3+2q^2+2q+1
      57: q^2+2q+1
      58: q^2+2q+1
      59: q^3+2q^2+2q+1
      60: q^3+2q^2+2q+1
      61: q^2+2q+1
      62: q^2+2q+1
      63: q^2+2q+1
      64: 2q+1
      65: q^7+q+1
      66: q^2+2q+1
      67: q^2+2q+1
      68: q^2+2q+1
      69: 2q+1
      70: q^7+q+1
      71: q^3+2q^2+2q+1
      72: q^3+2q^2+2q+1
      73: q^2+2q+1
      74: 2q+1
      75: 2q+1
      76: q^3+2q^2+2q+1
      77: q^2+2q+1
      78: q^3+2q^2+2q+1
      79: 2q+1
      80: 2q+1
      81: q^3+2q^2+2q+1
      82: q^3+2q^2+2q+1
      83: q^4+2q^3+2q^2+2q+1
      84: q^2+2q+1
      85: q^2+2q+1
      86: q^3+2q^2+2q+1
      87: q^3+2q^2+2q+1
      88: q^4+2q^3+2q^2+2q+1
      89: q^2+2q+1
      90: q^2+2q+1
      91: q+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: 2q+1
      99: 2q+1
     100: q^3+2q^2+2q+1
     101: q^2+2q+1
     102: q^2+2q+1
     103: q^3+2q^2+2q+1
     104: q^2+2q+1
     105: q^2+2q+1
     106: q^3+2q^2+2q+1
     107: q^2+2q+1
     108: q^2+2q+1
     109: q^3+2q^2+2q+1
     110: q^3+2q^2+2q+1
     111: q^2+2q+1
     112: q^2+2q+1
     113: q^2+2q+1
     114: 2q+1
     115: q^7+q+1
     116: q^2+2q+1
     117: q^2+2q+1
     118: 2q+1
     119: 2q+1
     120: q+1
     121: q^3+2q^2+2q+1
     122: q^2+2q+1
     123: q^3+2q^2+2q+1
     124: 2q+1
     125: 2q+1
     126: q^3+2q^2+2q+1
     127: q^2+2q+1
     128: q^3+2q^2+2q+1
     129: 2q+1
     130: 2q+1
     131: q^3+2q^2+2q+1
     132: q^3+2q^2+2q+1
     133: q^4+2q^3+2q^2+2q+1
     134: q^2+2q+1
     135: q^2+2q+1
     136: q+1
     137: 2q+1
     138: q+1
     139: 2q+1
     140: 2q+1
     141: q^2+2q+1
     142: 2q+1
     143: 2q+1
     144: 2q+1
     145: q^2+2q+1
     146: q^3+2q^2+2q+1
     147: q^2+2q+1
     148: q^2+2q+1
     149: q^2+2q+1
     150: 2q+1
     151: 2q+1
     152: q^2+2q+1
     153: q^2+2q+1
     154: q^3+2q^2+2q+1
     155: q^3+2q^2+2q+1
     156: q^2+2q+1
     157: q^2+2q+1
     158: q^3+2q^2+2q+1
     159: q^2+2q+1
     160: q^2+2q+1
     161: q^3+2q^2+2q+1
     162: q^2+2q+1
     163: q^2+2q+1
     164: 2q+1
     165: 2q+1
     166: q+1
     167: q^2+2q+1
     168: 2q+1
     169: q^2+2q+1
     170: 2q+1
     171: q+1
     172: q^3+2q^2+2q+1
     173: q^2+2q+1
     174: q^3+2q^2+2q+1
     175: 2q+1
     176: 2q+1
     177: q^3+2q^2+2q+1
     178: q^3+2q^2+2q+1
     179: q^4+2q^3+2q^2+2q+1
     180: q^2+2q+1
     181: q^2+2q+1
     182: q^3+2q^2+2q+1
     183: q^2+2q+1
     184: q^3+2q^2+2q+1
     185: 2q+1
     186: 2q+1
     187: q+1
     188: q+1
     189: 2q+1
     190: 2q+1
     191: 2q+1
     192: 2q+1
     193: q+1
     194: 2q+1
     195: 2q+1
     196: q^2+2q+1
     197: q^2+2q+1
     198: q^2+2q+1
     199: 2q+1
     200: 2q+1
     201: 2q+1
     202: q^2+2q+1
     203: 2q+1
     204: q^2+2q+1
     205: q^3+2q^2+2q+1
     206: q^3+2q^2+2q+1
     207: q^2+2q+1
     208: q^2+2q+1
     209: q^3+2q^2+2q+1
     210: q^3+2q^2+2q+1
     211: q^2+2q+1
     212: 2q+1
     213: 2q+1
     214: q^3+2q^2+2q+1
     215: q^2+2q+1
     216: q^2+2q+1
     217: q^2+2q+1
     218: q^2+2q+1
     219: q^2+2q+1
     220: 2q+1
     221: q^2+2q+1
     222: 2q+1
     223: q+1
     224: q^2+2q+1
     225: 2q+1
     226: q^2+2q+1
     227: 2q+1
     228: q+1
     229: q^3+2q^2+2q+1
     230: q^2+2q+1
     231: q^3+2q^2+2q+1
     232: 2q+1
     233: 2q+1
     234: q^3+2q^2+2q+1
     235: q^2+2q+1
     236: q^3+2q^2+2q+1
     237: 2q+1
     238: 2q+1
     239: q+1
     240: 2q+1
     241: q+1
     242: q+1
     243: 2q+1
     244: 2q+1
     245: 2q+1
     246: q^2+2q+1
     247: 2q+1
     248: 2q+1
     249: 2q+1
     250: 2q+1
     251: q+1
     252: 2q+1
     253: 2q+1
     254: q^2+2q+1
     255: q^2+2q+1
     256: q^3+2q^2+2q+1
     257: q^2+2q+1
     258: 2q+1
     259: 2q+1
     260: q^3+2q^2+2q+1
     261: q^2+2q+1
     262: q^2+2q+1
     263: q^2+2q+1
     264: q^2+2q+1
     265: 2q+1
     266: 2q+1
     267: 2q+1
     268: q^2+2q+1
     269: 2q+1
     270: q^3+2q^2+2q+1
     271: q^2+2q+1
     272: q^2+2q+1
     273: q^3+2q^2+2q+1
     274: q^3+2q^2+2q+1
     275: q^2+2q+1
     276: q^3+2q^2+2q+1
     277: 2q+1
     278: 2q+1
     279: q^2+2q+1
     280: 2q+1
     281: q^2+2q+1
     282: 2q+1
     283: q+1
     284: q^3+2q^2+2q+1
     285: q^2+2q+1
     286: q^3+2q^2+2q+1
     287: 2q+1
     288: 2q+1
     289: q^2+2q+1
     290: 2q+1
     291: q^2+2q+1
     292: 2q+1
     293: q+1
     294: q+1
     295: q+1
     296: 2q+1
     297: 2q+1
     298: 2q+1
     299: q^2+2q+1
     300: 2q+1
     301: 2q+1
     302: 2q+1
     303: q+1
     304: q+1
     305: 2q+1
     306: 2q+1
     307: 2q+1
     308: q^2+2q+1
     309: 2q+1
     310: q^3+2q^2+2q+1
     311: q^2+2q+1
     312: q^2+2q+1
     313: 2q+1
     314: 2q+1
     315: 2q+1
     316: q^2+2q+1
     317: 2q+1
     318: q^3+2q^2+2q+1
     319: q^2+2q+1
     320: 2q+1
     321: q^2+2q+1
     322: 2q+1
     323: 2q+1
     324: 2q+1
     325: q+1
     326: 2q+1
     327: 2q+1
     328: q^2+2q+1
     329: q^2+2q+1
     330: q^3+2q^2+2q+1
     331: q^3+2q^2+2q+1
     332: q^3+2q^2+2q+1
     333: q^2+2q+1
     334: q^3+2q^2+2q+1
     335: 2q+1
     336: 2q+1
     337: q^2+2q+1
     338: 2q+1
     339: q^2+2q+1
     340: 2q+1
     341: q+1
     342: q^2+2q+1
     343: 2q+1
     344: q^2+2q+1
     345: 2q+1
     346: q+1
     347: q+1
     348: 2q+1
     349: 2q+1
     350: 2q+1
     351: 2q+1
     352: q^2+2q+1
     353: 2q+1
     354: q+1
     355: q+1
     356: 2q+1
     357: 2q+1
     358: 2q+1
     359: q^2+2q+1
     360: q^3+2q^2+2q+1
     361: 2q+1
     362: q^2+2q+1
     363: 2q+1
     364: 2q+1
     365: 2q+1
     366: q+1
     367: 2q+1
     368: 2q+1
     369: q^2+2q+1
     370: q^2+2q+1
     371: 2q+1
     372: 2q+1
     373: 2q+1
     374: q+1
     375: q+1
     376: 2q+1
     377: 2q+1
     378: 2q+1
     379: q^2+2q+1
     380: 2q+1
     381: q^2+2q+1
     382: q^2+2q+1
     383: q^3+2q^2+2q+1
     384: q^3+2q^2+2q+1
     385: q^2+2q+1
     386: q^2+2q+1
     387: q^2+2q+1
     388: q+1
     389: q+1
     390: q^2+2q+1
     391: 2q+1
     392: q^2+2q+1
     393: 2q+1
     394: q+1
     395: q^2+2q+1
     396: 2q+1
     397: q^2+2q+1
     398: 2q+1
     399: q+1
     400: q+1
     401: q+1
     402: q^2+2q+1
     403: q+1
     404: 2q+1
     405: 2q+1
     406: 2q+1
     407: q+1
     408: 2q+1
     409: 2q+1
     410: q^2+2q+1
     411: q+1
     412: 2q+1
     413: 2q+1
     414: q^2+2q+1
     415: q^2+2q+1
     416: 2q+1
     417: 2q+1
     418: 2q+1
     419: q+1
     420: q+1
     421: 2q+1
     422: 2q+1
     423: 2q+1
     424: q^2+2q+1
     425: 2q+1
     426: 2q+1
     427: q+1
     428: q+1
     429: 2q+1
     430: 2q+1
     431: 2q+1
     432: q^2+2q+1
     433: 2q+1
     434: q^2+2q+1
     435: q^3+2q^2+2q+1
     436: q^2+2q+1
     437: q^2+2q+1
     438: q+1
     439: q+1
     440: q+1
     441: 1
     442: 1
     443: q^2+2q+1
     444: 2q+1
     445: q^2+2q+1
     446: 2q+1
     447: q+1
     448: q+1
     449: 1
     450: 1
     451: q+1
     452: q+1
     453: 2q+1
     454: q+1
     455: q+1
     456: 2q+1
     457: 2q+1
     458: 2q+1
     459: q+1
     460: q+1
     461: q^2+2q+1
     462: 2q+1
     463: 2q+1
     464: q^2+2q+1
     465: 2q+1
     466: 2q+1
     467: q+1
     468: q+1
     469: 2q+1
     470: 2q+1
     471: 2q+1
     472: q^2+2q+1
     473: q+1
     474: q+1
     475: 2q+1
     476: 2q+1
     477: q^2+2q+1
     478: q^2+2q+1
     479: 2q+1
     480: 2q+1
     481: q^2+2q+1
     482: 2q+1
     483: q^2+2q+1
     484: q+1
     485: q+1
     486: q+1
     487: 1
     488: 1
     489: q+1
     490: q+1
     491: q+1
     492: 1
     493: 1
     494: 1
     495: 1
     496: 1
     497: 1
     498: 1
     499: q+1
     500: q+1
     501: q+1
     502: 1
     503: q+1
     504: q+1
     505: 2q+1
     506: q+1
     507: q+1
     508: q+1
     509: q+1
     510: 2q+1
     511: 2q+1
     512: 2q+1
     513: q+1
     514: q+1
     515: 2q+1
     516: 2q+1
     517: q^2+2q+1
     518: q+1
     519: q^2+2q+1
     520: 2q+1
     521: 2q+1
     522: 2q+1
     523: q+1
     524: 2q+1
     525: q^2+2q+1
     526: 2q+1
     527: 2q+1
     528: q+1
     529: q+1
     530: q+1
     531: 1
     532: 1
     533: 1
     534: 1
     535: 1
     536: 1
     537: q+1
     538: 1
     539: 1
     540: 1
     541: q+1
     542: q+1
     543: q+1
     544: 1
     545: q+1
     546: q+1
     547: q+1
     548: 2q+1
     549: q+1
     550: 2q+1
     551: 2q+1
     552: q^2+2q+1
     553: 2q+1
     554: q+1
     555: q+1
     556: 2q+1
     557: 2q+1
     558: 2q+1
     559: q+1
     560: q+1
     561: q+1
     562: 2q+1
     570: 1
     572: 1
     573: 1
     574: 1
     576: 1
     577: 1
     578: 1
     579: q+1
     580: q+1
     581: q+1
     582: 2q+1
     583: q+1
     584: 2q+1
     585: 2q+1
     586: q+1
     587: 1
     588: q+1
     589: q+1
     590: q+1
     591: 2q+1
     592: q+1
     593: q+1
     595: 1
     597: q+1
     598: 1
     599: 1
     600: 1
     602: q+1
     603: 1
     604: q+1
     605: q+1
     606: q+1
     607: 2q+1
     608: 1
     609: 1
     610: 1
     611: q+1
     612: q+1
     615: q+1
     616: 1
     617: 1
     619: 1
     620: 1
     621: 1
     622: q+1
     623: q+1
     624: 1
     625: 1
     626: 1
     628: 1
     629: 1
     630: 1
     632: 1
     633: 1
     634: 1
     636: 1
     638: 1
     639: 1
     640: 1
     641: 1
     645: 1

646:   0: q^2+q+1
       1: q+1
       2: q^2+q+1
       3: q^2+q+1
       4: q^2+q+1
       5: q+1
       6: q+1
       7: q+1
       8: q^2+q+1
       9: q+1
      10: q+1
      11: q+1
      12: q+1
      13: q^2+q+1
      14: q+1
      15: q+1
      16: q+1
      17: q+1
      18: 1
      19: 1
      20: 1
      21: q+1
      22: q+1
      23: q+1
      24: q+1
      25: 1
      26: q+1
      27: q+1
      28: q+1
      29: q+1
      30: 1
      31: q+1
      32: q+1
      33: q+1
      34: 1
      35: 1
      36: q^2+q+1
      37: q^2+q+1
      38: q+1
      39: q+1
      40: q+1
      41: q^2+q+1
      42: q+1
      43: q+1
      44: q^2+q+1
      45: q+1
      46: q^2+q+1
      47: q+1
      48: q^2+q+1
      49: q+1
      50: q+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^2+q+1
      61: q+1
      62: q+1
      63: q+1
      64: q+1
      65: 1
      66: q+1
      67: q+1
      68: q+1
      69: 1
      70: 1
      71: q+1
      72: q+1
      73: q+1
      74: 1
      75: 1
      76: q^2+q+1
      77: q+1
      78: q^2+q+1
      79: q+1
      80: q+1
      81: q^2+q+1
      82: q+1
      83: q^2+q+1
      84: q+1
      85: q+1
      86: q^2+q+1
      87: q+1
      88: q^2+q+1
      89: q+1
      90: q+1
      91: 1
      92: 1
      93: q+1
      94: 1
      95: q+1
      96: q+1
      97: q+1
      98: q+1
      99: q+1
     100: q^2+q+1
     101: q+1
     102: q+1
     103: q+1
     104: q+1
     105: q+1
     106: q+1
     107: q+1
     108: q+1
     109: q+1
     110: q^2+q+1
     111: q+1
     112: q+1
     113: q+1
     114: 1
     115: 1
     116: q+1
     117: q+1
     118: q+1
     119: 1
     120: 1
     121: q+1
     122: q+1
     123: q+1
     124: 1
     125: 1
     126: q^2+q+1
     127: q+1
     128: q^2+q+1
     129: q+1
     130: q+1
     131: q^2+q+1
     132: q+1
     133: q^2+q+1
     134: q+1
     135: q+1
     136: 1
     137: 1
     138: 1
     139: 1
     140: q+1
     141: q+1
     142: 1
     143: 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^2+q+1
     155: q^2+q+1
     156: q+1
     157: q+1
     158: q+1
     159: q+1
     160: q+1
     161: q+1
     162: q+1
     163: q+1
     164: q+1
     165: 1
     166: 1
     167: q+1
     168: q+1
     169: q+1
     170: 1
     171: 1
     172: q+1
     173: q+1
     174: q+1
     175: 1
     176: 1
     177: q^2+q+1
     178: q+1
     179: q^2+q+1
     180: q+1
     181: q+1
     182: q^2+q+1
     183: q+1
     184: q^2+q+1
     185: q+1
     186: q+1
     187: 1
     188: 1
     189: 1
     190: q+1
     191: 1
     192: 1
     193: 1
     194: 1
     195: q+1
     196: q+1
     197: q+1
     198: q+1
     199: q+1
     200: 1
     201: 1
     202: q+1
     203: q+1
     204: q+1
     205: q+1
     206: q^2+q+1
     207: q+1
     208: q+1
     209: q+1
     210: q+1
     211: q+1
     212: q+1
     213: q+1
     214: q^2+q+1
     215: q+1
     216: q+1
     217: q+1
     218: q+1
     219: q+1
     220: q+1
     221: q+1
     222: 1
     223: 1
     224: q+1
     225: q+1
     226: q+1
     227: 1
     228: 1
     229: q^2+q+1
     230: q+1
     231: q^2+q+1
     232: q+1
     233: q+1
     234: q+1
     235: q+1
     236: q+1
     237: 1
     238: 1
     239: 1
     240: 1
     241: 1
     242: 1
     243: 1
     244: q+1
     245: 1
     246: q+1
     247: q+1
     248: 1
     249: q+1
     250: 1
     251: 1
     252: 1
     253: q+1
     254: q+1
     255: q+1
     256: q+1
     257: q+1
     258: q+1
     259: q+1
     260: q^2+q+1
     261: q+1
     262: q+1
     263: q+1
     264: q+1
     265: q+1
     266: 1
     267: 1
     268: q+1
     269: q+1
     270: q+1
     271: q+1
     272: q+1
     273: q^2+q+1
     274: q^2+q+1
     275: q+1
     276: q^2+q+1
     277: q+1
     278: q+1
     279: q+1
     280: q+1
     281: q+1
     282: 1
     283: 1
     284: q+1
     285: q+1
     286: q+1
     287: 1
     288: 1
     289: q+1
     290: q+1
     291: q+1
     292: 1
     293: 1
     294: 1
     295: 1
     296: 1
     297: 1
     298: q+1
     299: q+1
     300: q+1
     301: q+1
     302: 1
     303: 1
     304: 1
     305: 1
     306: q+1
     307: 1
     308: q+1
     309: q+1
     310: q^2+q+1
     311: q+1
     312: q+1
     313: q+1
     314: 1
     315: 1
     316: q+1
     317: q+1
     318: q+1
     319: q+1
     320: q+1
     321: q+1
     322: 1
     323: q+1
     324: 1
     325: 1
     326: 1
     327: q+1
     328: q+1
     329: q+1
     330: q+1
     331: q^2+q+1
     332: q+1
     333: q+1
     334: q+1
     335: 1
     336: 1
     337: q+1
     338: q+1
     339: q+1
     340: 1
     341: 1
     342: q+1
     343: q+1
     344: q+1
     345: 1
     346: 1
     347: 1
     348: 1
     349: q+1
     350: 1
     351: 1
     352: q+1
     353: q+1
     354: 1
     355: 1
     356: 1
     357: 1
     358: q+1
     359: q+1
     360: q+1
     361: q+1
     362: q+1
     363: 1
     364: q+1
     365: 1
     366: 1
     367: 1
     368: q+1
     369: q+1
     370: q+1
     371: 1
     372: q+1
     373: 1
     374: 1
     375: 1
     376: 1
     377: q+1
     378: 1
     379: q+1
     380: q+1
     381: q+1
     382: q+1
     383: q^2+q+1
     384: q+1
     385: q+1
     386: q+1
     387: q+1
     388: 1
     389: 1
     390: q+1
     391: q+1
     392: q+1
     393: 1
     394: 1
     395: q+1
     396: q+1
     397: q+1
     398: 1
     399: 1
     400: 1
     401: 1
     402: q+1
     403: 1
     404: 1
     405: q+1
     406: 1
     407: 1
     408: 1
     409: q+1
     410: q+1
     411: 1
     412: 1
     413: q+1
     414: q+1
     415: q+1
     416: 1
     417: q+1
     418: 1
     419: 1
     420: 1
     421: 1
     422: q+1
     423: 1
     424: q+1
     425: q+1
     426: 1
     427: 1
     428: 1
     429: 1
     430: 1
     431: q+1
     432: q+1
     433: q+1
     434: q+1
     435: q+1
     436: q+1
     437: q+1
     438: q+1
     439: q+1
     440: q+1
     441: 1
     442: 1
     443: q+1
     444: q+1
     445: q+1
     446: 1
     447: 1
     448: 1
     449: 1
     450: 1
     451: 1
     452: q+1
     453: 1
     454: 1
     455: 1
     456: 1
     457: q+1
     458: 1
     459: q+1
     460: 1
     461: q+1
     462: 1
     463: q+1
     464: q+1
     465: q+1
     466: 1
     467: 1
     468: 1
     469: 1
     470: 1
     471: q+1
     472: q+1
     473: 1
     474: 1
     475: 1
     476: q+1
     477: q+1
     478: q+1
     479: 1
     480: q+1
     481: q+1
     482: q+1
     483: q+1
     484: 1
     485: 1
     486: 1
     487: 1
     489: q+1
     490: q+1
     491: q+1
     492: 1
     493: 1
     495: 1
     496: 1
     497: 1
     498: 1
     499: 1
     500: 1
     501: q+1
     502: 1
     503: 1
     504: 1
     505: 1
     506: 1
     507: q+1
     508: 1
     509: q+1
     510: 1
     511: 1
     512: q+1
     513: 1
     514: 1
     515: 1
     516: q+1
     517: q+1
     518: 1
     519: q+1
     520: 1
     521: q+1
     522: q+1
     523: q+1
     524: 1
     525: q+1
     526: 1
     527: q+1
     528: 1
     529: 1
     530: 1
     531: 1
     535: 1
     536: 1
     537: 1
     538: 1
     539: 1
     540: 1
     541: 1
     542: 1
     543: 1
     544: 1
     545: 1
     546: q+1
     547: 1
     548: 1
     549: 1
     550: 1
     551: q+1
     552: q+1
     553: q+1
     554: 1
     555: q+1
     556: 1
     557: 1
     558: q+1
     559: 1
     560: q+1
     561: 1
     562: 1
     563: 1
     564: 1
     565: 1
     566: 1
     569: 1
     571: 1
     573: 1
     574: 1
     575: 1
     576: 1
     577: 1
     578: 1
     579: 1
     580: 1
     581: 1
     582: 1
     583: q+1
     584: 1
     585: q+1
     586: 1
     587: 1
     588: 1
     589: q+1
     590: 1
     591: 1
     592: 1
     593: 1
     596: 1
     597: 1
     599: 1
     600: 1
     601: 1
     602: 1
     603: 1
     604: 1
     605: 1
     606: q+1
     607: 1
     608: 1
     609: 1
     610: 1
     611: 1
     612: 1
     613: 1
     615: 1
     616: 1
     618: 1
     619: 1
     620: 1
     621: 1
     622: 1
     623: 1
     625: 1
     626: 1
     627: 1
     628: 1
     629: 1
     630: 1
     633: 1
     634: 1
     635: 1
     637: 1
     639: 1
     640: 1
     642: 1
     646: 1

647:   0: q^2+q+1
       1: q^2+q+1
       2: q^2+q+1
       3: q+1
       4: q^2+q+1
       5: q^2+q+1
       6: q+1
       7: q^2+q+1
       8: q^2+q+1
       9: q^2+q+1
      10: q+1
      11: q^2+q+1
      12: q+1
      13: q^3+q^2+q+1
      14: q+1
      15: q^2+q+1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      20: q+1
      21: q^2+q+1
      22: q+1
      23: q^2+q+1
      24: q+1
      25: q+1
      26: q^2+q+1
      27: q+1
      28: q^2+q+1
      29: q+1
      30: q+1
      31: q^2+q+1
      32: q+1
      33: q^2+q+1
      34: q+1
      35: q+1
      36: q^2+q+1
      37: q^2+q+1
      38: q+1
      39: q+1
      40: q+1
      41: q+1
      42: q+1
      43: q+1
      44: q^2+q+1
      45: q+1
      46: q^2+q+1
      47: q^2+q+1
      48: q^2+q+1
      49: q^2+q+1
      50: q^2+q+1
      51: q+1
      52: q+1
      53: q+1
      54: q+1
      55: q+1
      56: q+1
      57: q^2+q+1
      58: q^2+q+1
      59: q^2+q+1
      60: q^2+q+1
      61: q^2+q+1
      62: q+1
      63: q^2+q+1
      64: q+1
      65: q+1
      66: q^2+q+1
      67: q+1
      68: q^2+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^2+q+1
      79: q+1
      80: q+1
      81: q+1
      82: q+1
      83: q^2+q+1
      84: q+1
      85: q+1
      86: q^2+q+1
      87: q^2+q+1
      88: q^2+q+1
      89: q^2+q+1
      90: q^2+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^2+q+1
     102: q^2+q+1
     103: q^2+q+1
     104: q+1
     105: q+1
     106: q+1
     107: q^2+q+1
     108: q^2+q+1
     109: q^2+q+1
     110: q^2+q+1
     111: q^2+q+1
     112: q+1
     113: q^2+q+1
     114: q+1
     115: q+1
     116: q^2+q+1
     117: q^2+q+1
     118: q+1
     119: q+1
     120: q+1
     121: q+1
     122: q+1
     123: q^2+q+1
     124: q+1
     125: q+1
     126: q+1
     127: q+1
     128: q^2+q+1
     129: q+1
     130: q+1
     131: q+1
     132: q+1
     133: q^2+q+1
     134: q+1
     135: q+1
     136: q+1
     137: q+1
     138: q+1
     139: q+1
     140: q+1
     141: q+1
     142: q+1
     143: q+1
     144: q+1
     145: q+1
     146: q+1
     147: q^2+q+1
     148: q^2+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: q^2+q+1
     160: q^2+q+1
     161: q^2+q+1
     162: q^2+q+1
     163: q^2+q+1
     164: q+1
     165: q+1
     166: q+1
     167: q+1
     168: q+1
     169: q^2+q+1
     170: q+1
     171: q+1
     172: q+1
     173: q+1
     174: q^2+q+1
     175: q+1
     176: q+1
     177: q+1
     178: q+1
     179: q^2+q+1
     180: q+1
     181: q+1
     182: q+1
     183: q+1
     184: q^2+q+1
     185: q+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: q+1
     195: q+1
     196: q+1
     197: q+1
     198: q^2+q+1
     199: q+1
     200: q+1
     201: q+1
     202: q+1
     203: q+1
     204: q+1
     205: q+1
     206: q+1
     207: q+1
     208: q+1
     209: q+1
     210: q+1
     211: q+1
     212: q+1
     213: q+1
     214: q+1
     215: q+1
     216: q+1
     217: q^2+q+1
     218: q^2+q+1
     219: q+1
     220: q+1
     221: q^2+q+1
     222: q+1
     223: q+1
     224: q+1
     225: q+1
     226: q^2+q+1
     227: q+1
     228: q+1
     229: q+1
     230: q+1
     231: q^2+q+1
     232: q+1
     233: q+1
     234: q+1
     235: q+1
     236: q^2+q+1
     237: q+1
     238: q+1
     239: q+1
     240: q+1
     241: q+1
     242: q+1
     243: q+1
     244: q+1
     245: q+1
     246: q+1
     247: q+1
     248: q+1
     249: q+1
     250: q+1
     251: q+1
     252: q+1
     253: q+1
     254: q+1
     255: q+1
     256: q+1
     257: q+1
     258: q+1
     259: q+1
     260: q+1
     261: q+1
     262: q+1
     263: q+1
     264: q+1
     265: q+1
     266: q+1
     267: q+1
     268: q+1
     269: q+1
     270: q+1
     271: q+1
     272: q^2+q+1
     273: q+1
     274: q+1
     275: 1
     276: q+1
     277: 1
     278: 1
     279: q+1
     280: q+1
     281: q^2+q+1
     282: q+1
     283: q+1
     284: q+1
     285: q+1
     286: q^2+q+1
     287: q+1
     288: q+1
     289: q+1
     290: q+1
     291: q^2+q+1
     292: q+1
     293: q+1
     294: q+1
     295: q+1
     296: q+1
     297: q+1
     298: q+1
     299: 1
     300: 1
     301: 1
     302: q+1
     303: q+1
     304: q+1
     305: q+1
     306: q+1
     307: q+1
     308: q+1
     309: q+1
     310: q+1
     311: q+1
     312: q+1
     313: q+1
     314: q+1
     315: q+1
     316: q+1
     317: q+1
     318: q+1
     319: q+1
     320: q+1
     321: q+1
     322: q+1
     323: q+1
     324: q+1
     325: q+1
     326: q+1
     327: q+1
     328: q+1
     329: q+1
     330: q+1
     331: q+1
     332: q+1
     333: 1
     334: q+1
     335: 1
     336: 1
     337: q+1
     338: q+1
     339: q^2+q+1
     340: q+1
     341: q+1
     342: q+1
     343: q+1
     344: q^2+q+1
     345: q+1
     346: q+1
     347: q+1
     348: q+1
     349: 1
     350: 1
     351: 1
     352: 1
     353: 1
     354: q+1
     355: q+1
     356: q+1
     357: q+1
     358: q+1
     359: 1
     360: q+1
     361: q+1
     362: q+1
     363: q+1
     364: q+1
     365: q+1
     366: q+1
     367: q+1
     368: q+1
     369: q+1
     370: q+1
     371: q+1
     372: q+1
     373: q+1
     374: q+1
     375: q+1
     376: q+1
     377: q+1
     378: q+1
     379: q+1
     380: q+1
     381: q+1
     382: q+1
     383: q+1
     384: q+1
     385: q+1
     386: 1
     387: q+1
     388: 1
     389: 1
     390: q+1
     391: 1
     392: q+1
     393: 1
     394: 1
     395: q+1
     396: q+1
     397: q^2+q+1
     398: q+1
     399: q+1
     400: 1
     401: 1
     402: 1
     403: q+1
     404: 1
     405: 1
     406: 1
     407: 1
     408: 1
     409: 1
     410: q+1
     411: q+1
     412: q+1
     413: 1
     414: q+1
     415: 1
     416: q+1
     417: q+1
     418: q+1
     419: q+1
     420: q+1
     421: q+1
     422: q+1
     423: q+1
     424: q+1
     425: q+1
     426: q+1
     427: q+1
     428: q+1
     429: q+1
     430: q+1
     431: q+1
     432: 1
     433: q+1
     434: q+1
     435: q+1
     436: q+1
     437: q+1
     438: q+1
     439: 1
     440: q+1
     441: 1
     442: 1
     443: q+1
     444: 1
     445: q+1
     446: 1
     447: 1
     448: 1
     449: 1
     450: 1
     451: 1
     452: 1
     453: 1
     454: 1
     455: 1
     456: 1
     457: 1
     458: 1
     459: q+1
     460: q+1
     461: 1
     462: 1
     463: 1
     464: q+1
     465: 1
     466: q+1
     467: q+1
     468: q+1
     469: q+1
     470: q+1
     471: q+1
     472: 1
     473: q+1
     474: q+1
     475: q+1
     476: 1
     477: 1
     478: q+1
     479: q+1
     480: q+1
     481: q+1
     482: q+1
     483: q+1
     484: q+1
     485: 1
     486: q+1
     487: 1
     488: 1
     489: q+1
     490: 1
     491: q+1
     492: 1
     493: 1
     494: 1
     495: 1
     496: 1
     497: 1
     498: 1
     499: 1
     500: 1
     501: 1
     502: 1
     503: 1
     504: 1
     505: 1
     506: q+1
     507: q+1
     508: 1
     509: 1
     510: 1
     511: 1
     512: 1
     513: q+1
     514: q+1
     515: q+1
     516: 1
     517: 1
     518: q+1
     519: 1
     520: 1
     521: 1
     522: 1
     523: q+1
     524: q+1
     525: q+1
     526: q+1
     527: q+1
     528: q+1
     529: 1
     530: q+1
     531: 1
     532: 1
     533: 1
     534: 1
     535: 1
     536: 1
     537: 1
     538: 1
     539: 1
     540: 1
     541: 1
     542: q+1
     543: 1
     544: 1
     545: 1
     546: 1
     547: 1
     548: 1
     549: q+1
     550: 1
     551: 1
     552: 1
     553: 1
     554: 1
     555: 1
     556: 1
     557: 1
     558: 1
     559: q+1
     560: q+1
     561: q+1
     562: q+1
     563: q+1
     564: 1
     565: q+1
     566: 1
     567: 1
     568: 1
     569: 1
     570: 1
     571: 1
     572: 1
     573: 1
     574: 1
     575: q+1
     576: 1
     577: 1
     578: 1
     579: 1
     580: 1
     581: 1
     582: 1
     583: 1
     584: 1
     585: 1
     586: 1
     587: 1
     588: 1
     589: 1
     590: 1
     591: 1
     592: q+1
     593: q+1
     594: 1
     595: 1
     596: 1
     598: 1
     599: 1
     600: 1
     601: 1
     602: 1
     603: 1
     604: 1
     605: 1
     606: 1
     607: 1
     608: 1
     609: 1
     610: 1
     611: 1
     612: 1
     613: q+1
     614: 1
     617: 1
     618: 1
     619: 1
     620: 1
     621: 1
     622: 1
     623: 1
     624: 1
     625: 1
     626: 1
     627: 1
     631: 1
     632: 1
     633: 1
     634: 1
     635: 1
     636: 1
     637: 1
     641: 1
     642: 1
     643: 1
     647: 1

648:   0: q^3+1
       1: q^3+1
       2: q^3+1
       3: q^3+1
       4: q^3+1
       5: 1
       6: q^3+1
       7: q^3+1
       8: q^3+1
       9: 1
      10: 1
      11: 1
      12: q^3+1
      13: q^3+1
      14: 1
      15: 1
      16: 1
      17: 1
      18: 1
      19: 1
      20: q^9+1
      21: 1
      22: 1
      23: 1
      24: 1
      25: 1
      26: 1
      27: 1
      28: 1
      29: 1
      30: 1
      31: q^3+1
      32: q^3+1
      33: q^3+1
      34: 1
      35: 1
      36: q^3+1
      37: q^3+1
      38: q^3+1
      39: 1
      40: 1
      41: q^3+1
      42: q^3+1
      43: 1
      44: q^3+1
      45: 1
      46: q^3+1
      47: q^3+1
      48: q^3+1
      49: 1
      50: 1
      51: 1
      52: 1
      53: 1
      54: 1
      55: 1
      56: q^3+1
      57: 1
      58: 1
      59: q^3+1
      60: q^3+1
      61: 1
      62: 1
      63: 1
      64: 1
      65: 1
      66: 1
      67: 1
      68: 1
      69: 1
      70: 1
      71: q^3+1
      72: q^3+1
      73: q^3+1
      74: 1
      75: 1
      76: q^3+1
      77: q^3+1
      78: q^3+1
      79: 1
      80: 1
      81: q^3+1
      82: q^3+1
      83: q^3+1
      84: 1
      85: 1
      86: q^3+1
      87: q^3+1
      88: q^3+1
      89: 1
      90: 1
      91: 1
      92: 1
      93: 1
      94: 1
      95: q^3+1
      96: 1
      97: 1
      98: 1
      99: 1
     100: q^3+1
     101: 1
     102: 1
     103: q^3+1
     104: 1
     105: 1
     106: q^3+1
     107: 1
     108: 1
     109: q^3+1
     110: q^3+1
     111: 1
     112: 1
     113: 1
     114: 1
     115: 1
     116: 1
     117: 1
     118: 1
     119: 1
     120: 1
     121: q^3+1
     122: q^3+1
     123: q^3+1
     124: 1
     125: 1
     126: q^3+1
     127: q^3+1
     128: q^3+1
     129: 1
     130: 1
     131: q^3+1
     132: q^3+1
     133: q^3+1
     134: 1
     135: 1
     136: 1
     137: 1
     138: 1
     139: 1
     140: 1
     141: 1
     142: 1
     143: 1
     144: 1
     145: q^3+1
     146: q^3+1
     147: 1
     148: 1
     149: q^3+1
     150: 1
     151: 1
     152: 1
     153: 1
     154: q^3+1
     155: q^3+1
     156: 1
     157: 1
     158: q^3+1
     159: 1
     160: 1
     161: q^3+1
     162: 1
     163: 1
     164: 1
     165: 1
     166: 1
     167: 1
     168: 1
     169: 1
     170: 1
     171: 1
     172: q^3+1
     173: q^3+1
     174: q^3+1
     175: 1
     176: 1
     177: q^3+1
     178: q^3+1
     179: q^3+1
     180: 1
     181: 1
     182: q^3+1
     183: q^3+1
     184: q^3+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: q^3+1
     198: 1
     199: 1
     200: 1
     201: 1
     202: q^3+1
     203: 1
     204: 1
     205: q^3+1
     206: q^3+1
     207: 1
     208: 1
     209: q^3+1
     210: q^3+1
     211: q^3+1
     212: 1
     213: 1
     214: q^3+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: q^3+1
     230: q^3+1
     231: q^3+1
     232: 1
     233: 1
     234: q^3+1
     235: q^3+1
     236: q^3+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: q^3+1
     256: q^3+1
     257: q^3+1
     258: 1
     259: 1
     260: q^3+1
     261: 1
     262: 1
     263: q^3+1
     264: 1
     265: 1
     266: 1
     267: 1
     268: q^3+1
     269: 1
     270: q^3+1
     271: 1
     272: 1
     273: q^3+1
     274: q^3+1
     275: q^3+1
     276: q^3+1
     277: 1
     278: 1
     279: 1
     280: 1
     281: 1
     282: 1
     283: 1
     284: q^3+1
     285: q^3+1
     286: q^3+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^3+1
     300: 1
     301: 1
     302: 1
     303: 1
     304: 1
     305: 1
     306: 1
     307: 1
     308: 1
     309: 1
     310: q^3+1
     311: q^3+1
     312: 1
     313: 1
     314: 1
     315: 1
     316: q^3+1
     317: 1
     318: q^3+1
     319: 1
     320: 1
     321: 1
     322: 1
     323: 1
     324: 1
     325: 1
     326: 1
     327: 1
     328: 1
     329: q^3+1
     330: q^3+1
     331: q^3+1
     332: q^3+1
     333: q^3+1
     334: q^3+1
     335: 1
     336: 1
     337: 1
     338: 1
     339: 1
     340: 1
     341: 1
     342: 1
     343: 1
     344: 1
     345: 1
     346: 1
     347: 1
     348: 1
     349: 1
     350: 1
     351: 1
     352: q^3+1
     353: 1
     354: 1
     355: 1
     356: 1
     357: 1
     358: 1
     359: q^3+1
     360: q^3+1
     361: 1
     362: 1
     363: 1
     364: 1
     365: 1
     366: 1
     367: 1
     368: 1
     369: 1
     370: q^3+1
     371: 1
     372: 1
     373: 1
     374: 1
     375: 1
     376: 1
     377: 1
     378: 1
     379: 1
     380: 1
     381: q^3+1
     382: 1
     383: q^3+1
     384: q^3+1
     385: q^3+1
     386: q^3+1
     387: q^3+1
     388: 1
     389: 1
     390: 1
     391: 1
     392: 1
     393: 1
     394: 1
     395: 1
     396: 1
     397: 1
     398: 1
     399: 1
     400: 1
     401: 1
     402: q^3+1
     403: 1
     404: 1
     405: 1
     406: 1
     407: 1
     408: 1
     409: 1
     410: q^3+1
     411: 1
     412: 1
     413: 1
     414: 1
     415: q^3+1
     416: 1
     417: 1
     418: 1
     419: 1
     420: 1
     421: 1
     422: 1
     423: 1
     424: 1
     425: 1
     426: 1
     427: 1
     428: 1
     429: 1
     430: 1
     431: 1
     432: q^3+1
     433: 1
     434: 1
     435: q^3+1
     436: q^3+1
     437: 1
     438: 1
     439: 1
     440: 1
     441: 1
     442: 1
     443: 1
     444: 1
     445: 1
     446: 1
     447: 1
     448: 1
     449: 1
     450: 1
     451: 1
     452: 1
     453: 1
     454: 1
     455: 1
     456: 1
     457: 1
     458: 1
     459: 1
     460: 1
     461: q^3+1
     462: 1
     463: 1
     464: 1
     465: 1
     466: 1
     467: 1
     468: 1
     469: 1
     470: 1
     471: 1
     472: q^3+1
     473: 1
     474: 1
     475: 1
     476: 1
     477: q^3+1
     478: q^3+1
     479: 1
     480: 1
     481: 1
     482: 1
     483: 1
     484: 1
     485: 1
     486: 1
     487: 1
     488: 1
     489: 1
     490: 1
     491: 1
     492: 1
     493: 1
     494: 1
     495: 1
     496: 1
     497: 1
     498: 1
     499: 1
     500: 1
     501: 1
     502: 1
     503: 1
     504: 1
     505: 1
     506: 1
     507: 1
     508: 1
     509: 1
     510: 1
     511: 1
     512: 1
     513: 1
     514: 1
     515: 1
     516: 1
     517: q^3+1
     518: 1
     519: q^3+1
     520: 1
     521: 1
     522: 1
     523: 1
     524: 1
     525: 1
     526: 1
     527: 1
     528: 1
     529: 1
     530: 1
     531: 1
     532: 1
     533: 1
     534: 1
     535: 1
     536: 1
     537: 1
     538: 1
     539: 1
     540: 1
     541: 1
     542: 1
     543: 1
     544: 1
     545: 1
     546: 1
     547: 1
     548: 1
     549: 1
     550: 1
     551: 1
     552: q^3+1
     553: 1
     554: 1
     555: 1
     556: 1
     557: 1
     558: 1
     559: 1
     560: 1
     561: 1
     562: 1
     570: 1
     572: 1
     573: 1
     574: 1
     576: 1
     577: 1
     578: 1
     579: 1
     580: 1
     581: 1
     582: 1
     583: 1
     584: 1
     585: 1
     586: 1
     587: 1
     588: 1
     589: 1
     590: 1
     591: 1
     592: 1
     593: 1
     595: 1
     597: 1
     598: 1
     599: 1
     600: 1
     602: 1
     603: 1
     604: 1
     605: 1
     606: 1
     607: 1
     608: 1
     609: 1
     610: 1
     611: 1
     612: 1
     615: 1
     616: 1
     617: 1
     619: 1
     620: 1
     621: 1
     622: 1
     623: 1
     624: 1
     625: 1
     626: 1
     628: 1
     629: 1
     630: 1
     632: 1
     633: 1
     634: 1
     636: 1
     638: 1
     639: 1
     640: 1
     641: 1
     644: 1
     645: 1
     648: 1

649:   0: q^2+q+1
       1: q^2+q+1
       2: q^3+q^2+q+1
       3: q^2+q+1
       4: q^2+q+1
       5: q^2+q+1
       6: q^2+q+1
       7: q^2+q+1
       8: q^3+q^2+q+1
       9: q^2+q+1
      10: q^2+q+1
      11: q^2+q+1
      12: q+1
      13: q^3+q^2+q+1
      14: q^2+q+1
      15: q^2+q+1
      16: q+1
      17: q+1
      18: q+1
      19: q+1
      20: q+1
      21: q^2+q+1
      22: q^2+q+1
      23: q^2+q+1
      24: q+1
      25: q+1
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     390: q^2+q+1
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     443: q^2+q+1
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     555: q+1
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     569: 1
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     619: 1
     620: 1
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     622: q+1
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     629: 1
     630: 1
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     635: q+1
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     643: 1
     645: 1
     646: 1
     647: 1
     649: 1

650:   0: 1
       1: 1
       2: 1
       3: 1
       4: 1
       5: 1
       6: 1
       7: 1
       8: 1
       9: 1
      10: 1
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     105: 1
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     110: 1
     111: 1
     112: 1
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     114: 1
     115: 1
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     125: 1
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     128: 1
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     133: 1
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     135: 1
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     222: 1
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     265: 1
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     315: 1
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     329: 1
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     332: 1
     333: 1
     334: 1
     335: 1
     336: 1
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     342: 1
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     344: 1
     345: 1
     346: 1
     347: 1
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     352: 1
     353: 1
     354: 1
     355: 1
     356: 1
     357: 1
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     392: 1
     393: 1
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     415: 1
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     420: 1
     421: 1
     422: 1
     423: 1
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     429: 1
     430: 1
     431: 1
     432: 1
     433: 1
     434: 1
     435: 1
     436: 1
     437: 1
     438: 1
     439: 1
     440: 1
     441: 1
     442: 1
     443: 1
     444: 1
     445: 1
     446: 1
     447: 1
     448: 1
     449: 1
     450: 1
     451: 1
     452: 1
     453: 1
     454: 1
     455: 1
     456: 1
     457: 1
     458: 1
     459: 1
     460: 1
     461: 1
     462: 1
     463: 1
     464: 1
     465: 1
     466: 1
     467: 1
     468: 1
     469: 1
     470: 1
     471: 1
     472: 1
     473: 1
     474: 1
     475: 1
     476: 1
     477: 1
     478: 1
     479: 1
     480: 1
     481: 1
     482: 1
     483: 1
     484: 1
     485: 1
     486: 1
     487: 1
     488: 1
     489: 1
     490: 1
     491: 1
     492: 1
     493: 1
     494: 1
     495: 1
     496: 1
     497: 1
     498: 1
     499: 1
     500: 1
     501: 1
     502: 1
     503: 1
     504: 1
     505: 1
     506: 1
     507: 1
     508: 1
     509: 1
     510: 1
     511: 1
     512: 1
     513: 1
     514: 1
     515: 1
     516: 1
     517: 1
     518: 1
     519: 1
     520: 1
     521: 1
     522: 1
     523: 1
     524: 1
     525: 1
     526: 1
     527: 1
     528: 1
     529: 1
     530: 1
     531: 1
     532: 1
     533: 1
     534: 1
     535: 1
     536: 1
     537: 1
     538: 1
     539: 1
     540: 1
     541: 1
     542: 1
     543: 1
     544: 1
     545: 1
     546: 1
     547: 1
     548: 1
     549: 1
     550: 1
     551: 1
     552: 1
     553: 1
     554: 1
     555: 1
     556: 1
     557: 1
     558: 1
     559: 1
     560: 1
     561: 1
     562: 1
     563: 1
     564: 1
     565: 1
     566: 1
     567: 1
     568: 1
     569: 1
     570: 1
     571: 1
     572: 1
     573: 1
     574: 1
     575: 1
     576: 1
     577: 1
     578: 1
     579: 1
     580: 1
     581: 1
     582: 1
     583: 1
     584: 1
     585: 1
     586: 1
     587: 1
     588: 1
     589: 1
     590: 1
     591: 1
     592: 1
     593: 1
     594: 1
     595: 1
     596: 1
     597: 1
     598: 1
     599: 1
     600: 1
     601: 1
     602: 1
     603: 1
     604: 1
     605: 1
     606: 1
     607: 1
     608: 1
     609: 1
     610: 1
     611: 1
     612: 1
     613: 1
     614: 1
     615: 1
     616: 1
     617: 1
     618: 1
     619: 1
     620: 1
     621: 1
     622: 1
     623: 1
     624: 1
     625: 1
     626: 1
     627: 1
     628: 1
     629: 1
     630: 1
     631: 1
     632: 1
     633: 1
     634: 1
     635: 1
     636: 1
     637: 1
     638: 1
     639: 1
     640: 1
     641: 1
     642: 1
     643: 1
     644: 1
     645: 1
     646: 1
     647: 1
     648: 1
     649: 1
     650: 1

94190 nonzero polynomials, and 0 zero polynomials,
 at 94190 Bruhat-comparable pairs.