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784 orbits; showing 401โ€“500 ยท JSON

LabelDimTrace formSignCMCurve
752.2.a.a1q+O(q8)q + O(q^{8})752a1 rank 1
752.2.a.b22qโˆ’q3โˆ’5q7+O(q8)2q - q^{3} - 5q^{7} + O(q^{8})
752.2.a.c22q+4q5+4q7+O(q8)2q + 4q^{5} + 4q^{7} + O(q^{8})
752.2.a.d22q+q3โˆ’4q5โˆ’q7+O(q8)2q + q^{3} - 4q^{5} - q^{7} + O(q^{8})
752.2.a.e22q+q3โˆ’2q5+3q7+O(q8)2q + q^{3} - 2q^{5} + 3q^{7} + O(q^{8})
752.2.a.f22q+3q3โˆ’2q5+7q7+O(q8)2q + 3q^{3} - 2q^{5} + 7q^{7} + O(q^{8})
752.2.a.g44qโˆ’3q3โˆ’5q7+O(q8)4q - 3q^{3} - 5q^{7} + O(q^{8})
752.2.a.h44qโˆ’2q5โˆ’4q7+O(q8)4q - 2q^{5} - 4q^{7} + O(q^{8})
752.2.a.i44q+q3+4q5+3q7+O(q8)4q + q^{3} + 4q^{5} + 3q^{7} + O(q^{8})
753.2.a.a1q+q3โˆ’2q4+q5โˆ’5q7+O(q8)q + q^{3} - 2q^{4} + q^{5} - 5q^{7} + O(q^{8})โˆ’1-1753c1 rank 1
753.2.a.b1q+q3โˆ’2q4+3q5โˆ’q7+O(q8)q + q^{3} - 2q^{4} + 3q^{5} - q^{7} + O(q^{8})+1+1753b1 rank 0
753.2.a.c1q+2q2โˆ’q3+2q4+3q5โˆ’2q6โˆ’q7+O(q8)q + 2q^{2} - q^{3} + 2q^{4} + 3q^{5} - 2q^{6} - q^{7} + O(q^{8})+1+1753a1 rank 0
753.2.a.d22q+2q3โˆ’6q5โˆ’2q7+O(q8)2q + 2q^{3} - 6q^{5} - 2q^{7} + O(q^{8})โˆ’1-1
753.2.a.e44q+2q2+4q3+6q4+4q5+2q6+6q7+O(q8)4q + 2q^{2} + 4q^{3} + 6q^{4} + 4q^{5} + 2q^{6} + 6q^{7} + O(q^{8})+1+1
753.2.a.f66qโˆ’6q2+6q3+8q4โˆ’4q5โˆ’6q6โˆ’7q7+O(q8)6q - 6q^{2} + 6q^{3} + 8q^{4} - 4q^{5} - 6q^{6} - 7q^{7} + O(q^{8})โˆ’1-1
753.2.a.g66q+2q2+6q3+4q4+2q6+5q7+O(q8)6q + 2q^{2} + 6q^{3} + 4q^{4} + 2q^{6} + 5q^{7} + O(q^{8})+1+1
753.2.a.h99qโˆ’9q3+6q4+q5โˆ’14q7+O(q8)9q - 9q^{3} + 6q^{4} + q^{5} - 14q^{7} + O(q^{8})โˆ’1-1
753.2.a.i1111qโˆ’3q2โˆ’11q3+13q4โˆ’4q5+3q6+19q7+O(q8)11q - 3q^{2} - 11q^{3} + 13q^{4} - 4q^{5} + 3q^{6} + 19q^{7} + O(q^{8})+1+1
754.2.a.a1qโˆ’q2โˆ’2q3+q4โˆ’2q5+2q6+2q7+O(q8)q - q^{2} - 2q^{3} + q^{4} - 2q^{5} + 2q^{6} + 2q^{7} + O(q^{8})โˆ’1-1754c1 rank 1
754.2.a.b1qโˆ’q2+q3+q4+q5โˆ’q6โˆ’q7+O(q8)q - q^{2} + q^{3} + q^{4} + q^{5} - q^{6} - q^{7} + O(q^{8})โˆ’1-1754b1 rank 1
754.2.a.c1qโˆ’q2+q3+q4+3q5โˆ’q6โˆ’q7+O(q8)q - q^{2} + q^{3} + q^{4} + 3q^{5} - q^{6} - q^{7} + O(q^{8})+1+1754a1 rank 0
754.2.a.d1q+q2+q3+q4โˆ’3q5+q6โˆ’3q7+O(q8)q + q^{2} + q^{3} + q^{4} - 3q^{5} + q^{6} - 3q^{7} + O(q^{8})โˆ’1-1754d1 rank 1
754.2.a.e22qโˆ’2q2+2q3+2q4+q5โˆ’2q6+3q7+O(q8)2q - 2q^{2} + 2q^{3} + 2q^{4} + q^{5} - 2q^{6} + 3q^{7} + O(q^{8})+1+1
754.2.a.f22q+2q2โˆ’2q3+2q4โˆ’4q5โˆ’2q6+2q7+O(q8)2q + 2q^{2} - 2q^{3} + 2q^{4} - 4q^{5} - 2q^{6} + 2q^{7} + O(q^{8})โˆ’1-1
754.2.a.g44qโˆ’4q2+4q4+7q5+3q7+O(q8)4q - 4q^{2} + 4q^{4} + 7q^{5} + 3q^{7} + O(q^{8})+1+1
754.2.a.h44qโˆ’4q2+2q3+4q4โˆ’2q5โˆ’2q6โˆ’2q7+O(q8)4q - 4q^{2} + 2q^{3} + 4q^{4} - 2q^{5} - 2q^{6} - 2q^{7} + O(q^{8})โˆ’1-1
754.2.a.i55q+5q2+3q3+5q4+6q5+3q6โˆ’2q7+O(q8)5q + 5q^{2} + 3q^{3} + 5q^{4} + 6q^{5} + 3q^{6} - 2q^{7} + O(q^{8})+1+1
754.2.a.j66q+6q2+2q3+6q4+3q5+2q6โˆ’q7+O(q8)6q + 6q^{2} + 2q^{3} + 6q^{4} + 3q^{5} + 2q^{6} - q^{7} + O(q^{8})+1+1
755.2.a.a1qโˆ’2q4โˆ’q5+3q7+O(q8)q - 2q^{4} - q^{5} + 3q^{7} + O(q^{8})โˆ’1-1755a1 rank 1
755.2.a.b1q+q2โˆ’2q3โˆ’q4โˆ’q5โˆ’2q6+2q7+O(q8)q + q^{2} - 2q^{3} - q^{4} - q^{5} - 2q^{6} + 2q^{7} + O(q^{8})+1+1755c1 rank 0
755.2.a.c1q+q2+q3โˆ’q4โˆ’q5+q6+O(q8)q + q^{2} + q^{3} - q^{4} - q^{5} + q^{6} + O(q^{8})โˆ’1-1755b1 rank 1
755.2.a.d1q+2q2โˆ’3q3+2q4+q5โˆ’6q6โˆ’q7+O(q8)q + 2q^{2} - 3q^{3} + 2q^{4} + q^{5} - 6q^{6} - q^{7} + O(q^{8})+1+1755f1 rank 0
755.2.a.e1q+2q2+q3+2q4+q5+2q6+3q7+O(q8)q + 2q^{2} + q^{3} + 2q^{4} + q^{5} + 2q^{6} + 3q^{7} + O(q^{8})+1+1755d1 rank 0
755.2.a.f1q+2q2+3q3+2q4+q5+6q6โˆ’q7+O(q8)q + 2q^{2} + 3q^{3} + 2q^{4} + q^{5} + 6q^{6} - q^{7} + O(q^{8})+1+1755e1 rank 0
755.2.a.g22qโˆ’2q2โˆ’2q3โˆ’2q4+2q5+2q6โˆ’4q7+O(q8)2q - 2q^{2} - 2q^{3} - 2q^{4} + 2q^{5} + 2q^{6} - 4q^{7} + O(q^{8})โˆ’1-1
755.2.a.h55qโˆ’q2โˆ’2q3+3q4+5q5โˆ’2q6โˆ’2q7+O(q8)5q - q^{2} - 2q^{3} + 3q^{4} + 5q^{5} - 2q^{6} - 2q^{7} + O(q^{8})โˆ’1-1
755.2.a.i55qโˆ’3q3+4q4โˆ’5q5โˆ’3q6โˆ’7q7+O(q8)5q - 3q^{3} + 4q^{4} - 5q^{5} - 3q^{6} - 7q^{7} + O(q^{8})โˆ’1-1
755.2.a.j1515qโˆ’2q2+5q3+18q4+15q5โˆ’4q6+11q7+O(q8)15q - 2q^{2} + 5q^{3} + 18q^{4} + 15q^{5} - 4q^{6} + 11q^{7} + O(q^{8})+1+1
755.2.a.k1818qโˆ’2q2+2q3+32q4โˆ’18q5+10q6+4q7+O(q8)18q - 2q^{2} + 2q^{3} + 32q^{4} - 18q^{5} + 10q^{6} + 4q^{7} + O(q^{8})+1+1
756.2.a.a1qโˆ’3q5+q7+O(q8)q - 3q^{5} + q^{7} + O(q^{8})756f1 rank 0
756.2.a.b1qโˆ’3q5+q7+O(q8)q - 3q^{5} + q^{7} + O(q^{8})756b1 rank 1
756.2.a.c1qโˆ’q5โˆ’q7+O(q8)q - q^{5} - q^{7} + O(q^{8})756c1 rank 1
756.2.a.d1q+q5โˆ’q7+O(q8)q + q^{5} - q^{7} + O(q^{8})756a1 rank 0
756.2.a.e1q+3q5+q7+O(q8)q + 3q^{5} + q^{7} + O(q^{8})756d1 rank 0
756.2.a.f1q+3q5+q7+O(q8)q + 3q^{5} + q^{7} + O(q^{8})756e1 rank 0
756.2.a.g22qโˆ’2q7+O(q8)2q - 2q^{7} + O(q^{8})
757.2.a.a2929qโˆ’12q2โˆ’21q3+26q4โˆ’11q5โˆ’2q6โˆ’10q7+O(q8)29q - 12q^{2} - 21q^{3} + 26q^{4} - 11q^{5} - 2q^{6} - 10q^{7} + O(q^{8})โˆ’1-1
757.2.a.b3333q+10q2+19q3+34q4+7q5+8q6+6q7+O(q8)33q + 10q^{2} + 19q^{3} + 34q^{4} + 7q^{5} + 8q^{6} + 6q^{7} + O(q^{8})+1+1
758.2.a.a1qโˆ’q2โˆ’2q3+q4โˆ’q5+2q6โˆ’2q7+O(q8)q - q^{2} - 2q^{3} + q^{4} - q^{5} + 2q^{6} - 2q^{7} + O(q^{8})โˆ’1-1758a1 rank 1
758.2.a.b1q+q2+2q3+q4+3q5+2q6โˆ’2q7+O(q8)q + q^{2} + 2q^{3} + q^{4} + 3q^{5} + 2q^{6} - 2q^{7} + O(q^{8})+1+1758b1 rank 0
758.2.a.c55qโˆ’5q2โˆ’q3+5q4โˆ’3q5+q6โˆ’4q7+O(q8)5q - 5q^{2} - q^{3} + 5q^{4} - 3q^{5} + q^{6} - 4q^{7} + O(q^{8})โˆ’1-1
758.2.a.d55q+5q2โˆ’7q3+5q4โˆ’3q5โˆ’7q6โˆ’8q7+O(q8)5q + 5q^{2} - 7q^{3} + 5q^{4} - 3q^{5} - 7q^{6} - 8q^{7} + O(q^{8})โˆ’1-1
758.2.a.e1010qโˆ’10q2+6q3+10q4+5q5โˆ’6q6+6q7+O(q8)10q - 10q^{2} + 6q^{3} + 10q^{4} + 5q^{5} - 6q^{6} + 6q^{7} + O(q^{8})+1+1
758.2.a.f1010q+10q2+6q3+10q4โˆ’3q5+6q6+10q7+O(q8)10q + 10q^{2} + 6q^{3} + 10q^{4} - 3q^{5} + 6q^{6} + 10q^{7} + O(q^{8})+1+1
759.2.a.a1qโˆ’q2โˆ’q3โˆ’q4+q6โˆ’2q7+O(q8)q - q^{2} - q^{3} - q^{4} + q^{6} - 2q^{7} + O(q^{8})โˆ’1-1759a1 rank 1
759.2.a.b1qโˆ’q2+q3โˆ’q4โˆ’2q5โˆ’q6+O(q8)q - q^{2} + q^{3} - q^{4} - 2q^{5} - q^{6} + O(q^{8})โˆ’1-1759b1 rank 1
759.2.a.c22qโˆ’q2+2q3โˆ’q4โˆ’2q5โˆ’q6+4q7+O(q8)2q - q^{2} + 2q^{3} - q^{4} - 2q^{5} - q^{6} + 4q^{7} + O(q^{8})+1+1
759.2.a.d22q+2q2+2q3+2q4+4q5+2q6+4q7+O(q8)2q + 2q^{2} + 2q^{3} + 2q^{4} + 4q^{5} + 2q^{6} + 4q^{7} + O(q^{8})+1+1
759.2.a.e33qโˆ’q2โˆ’3q3+q4โˆ’4q5+q6+O(q8)3q - q^{2} - 3q^{3} + q^{4} - 4q^{5} + q^{6} + O(q^{8})โˆ’1-1
759.2.a.f33qโˆ’q2+3q3+q4โˆ’2q5โˆ’q6โˆ’6q7+O(q8)3q - q^{2} + 3q^{3} + q^{4} - 2q^{5} - q^{6} - 6q^{7} + O(q^{8})โˆ’1-1
759.2.a.g55qโˆ’2q2+5q3+12q4+4q5โˆ’2q6+O(q8)5q - 2q^{2} + 5q^{3} + 12q^{4} + 4q^{5} - 2q^{6} + O(q^{8})+1+1
759.2.a.h66q+2q2โˆ’6q3+4q4+6q5โˆ’2q6+O(q8)6q + 2q^{2} - 6q^{3} + 4q^{4} + 6q^{5} - 2q^{6} + O(q^{8})+1+1
759.2.a.i88q+2q2โˆ’8q3+14q4+6q5โˆ’2q6โˆ’6q7+O(q8)8q + 2q^{2} - 8q^{3} + 14q^{4} + 6q^{5} - 2q^{6} - 6q^{7} + O(q^{8})+1+1
759.2.a.j88q+2q2+8q3+10q4+2q6+6q7+O(q8)8q + 2q^{2} + 8q^{3} + 10q^{4} + 2q^{6} + 6q^{7} + O(q^{8})+1+1
760.2.a.a1qโˆ’2q3+q5+O(q8)q - 2q^{3} + q^{5} + O(q^{8})760d1 rank 1
760.2.a.b1qโˆ’2q3+q5+4q7+O(q8)q - 2q^{3} + q^{5} + 4q^{7} + O(q^{8})760b1 rank 0
760.2.a.c1q+q5+O(q8)q + q^{5} + O(q^{8})760e1 rank 1
760.2.a.d1q+2q3+q5+4q7+O(q8)q + 2q^{3} + q^{5} + 4q^{7} + O(q^{8})760a1 rank 0
760.2.a.e1q+3q3+q5โˆ’q7+O(q8)q + 3q^{3} + q^{5} - q^{7} + O(q^{8})760c1 rank 0
760.2.a.f22qโˆ’2q5+O(q8)2q - 2q^{5} + O(q^{8})
760.2.a.g22q+2q3โˆ’2q5+O(q8)2q + 2q^{3} - 2q^{5} + O(q^{8})
760.2.a.h33qโˆ’q3โˆ’3q5โˆ’5q7+O(q8)3q - q^{3} - 3q^{5} - 5q^{7} + O(q^{8})
760.2.a.i33qโˆ’q3โˆ’3q5โˆ’q7+O(q8)3q - q^{3} - 3q^{5} - q^{7} + O(q^{8})
760.2.a.j33qโˆ’q3+3q5โˆ’q7+O(q8)3q - q^{3} + 3q^{5} - q^{7} + O(q^{8})
761.2.a.a22qโˆ’2q2+q3โˆ’2q4+q5โˆ’q6โˆ’3q7+O(q8)2q - 2q^{2} + q^{3} - 2q^{4} + q^{5} - q^{6} - 3q^{7} + O(q^{8})โˆ’1-1
761.2.a.b2020qโˆ’2q2โˆ’5q3+8q4โˆ’8q5โˆ’5q6โˆ’20q7+O(q8)20q - 2q^{2} - 5q^{3} + 8q^{4} - 8q^{5} - 5q^{6} - 20q^{7} + O(q^{8})โˆ’1-1
761.2.a.c4141q+3q2+4q3+59q4+3q5+27q7+O(q8)41q + 3q^{2} + 4q^{3} + 59q^{4} + 3q^{5} + 27q^{7} + O(q^{8})+1+1
762.2.a.a1qโˆ’q2+q3+q4โˆ’3q5โˆ’q6+3q7+O(q8)q - q^{2} + q^{3} + q^{4} - 3q^{5} - q^{6} + 3q^{7} + O(q^{8})โˆ’1-1762c1 rank 1
762.2.a.b1qโˆ’q2+q3+q4โˆ’q6+q7+O(q8)q - q^{2} + q^{3} + q^{4} - q^{6} + q^{7} + O(q^{8})+1+1762a1 rank 0
762.2.a.c1qโˆ’q2+q3+q4+3q5โˆ’q6+q7+O(q8)q - q^{2} + q^{3} + q^{4} + 3q^{5} - q^{6} + q^{7} + O(q^{8})+1+1762b1 rank 0
762.2.a.d1q+q2โˆ’q3+q4โˆ’q5โˆ’q6โˆ’3q7+O(q8)q + q^{2} - q^{3} + q^{4} - q^{5} - q^{6} - 3q^{7} + O(q^{8})โˆ’1-1762d1 rank 1
762.2.a.e1q+q2+q3+q4โˆ’3q5+q6โˆ’5q7+O(q8)q + q^{2} + q^{3} + q^{4} - 3q^{5} + q^{6} - 5q^{7} + O(q^{8})โˆ’1-1762e1 rank 1
762.2.a.f1q+q2+q3+q4โˆ’q5+q6+q7+O(q8)q + q^{2} + q^{3} + q^{4} - q^{5} + q^{6} + q^{7} + O(q^{8})+1+1762g1 rank 0
762.2.a.g1q+q2+q3+q4+q6โˆ’q7+O(q8)q + q^{2} + q^{3} + q^{4} + q^{6} - q^{7} + O(q^{8})+1+1762f1 rank 0
762.2.a.h22qโˆ’2q2โˆ’2q3+2q4+q5+2q6+6q7+O(q8)2q - 2q^{2} - 2q^{3} + 2q^{4} + q^{5} + 2q^{6} + 6q^{7} + O(q^{8})+1+1
762.2.a.i22qโˆ’2q2+2q3+2q4โˆ’q5โˆ’2q6โˆ’5q7+O(q8)2q - 2q^{2} + 2q^{3} + 2q^{4} - q^{5} - 2q^{6} - 5q^{7} + O(q^{8})โˆ’1-1
762.2.a.j22q+2q2+2q3+2q4+5q5+2q6+3q7+O(q8)2q + 2q^{2} + 2q^{3} + 2q^{4} + 5q^{5} + 2q^{6} + 3q^{7} + O(q^{8})+1+1
762.2.a.k33qโˆ’3q2โˆ’3q3+3q4+4q5+3q6โˆ’6q7+O(q8)3q - 3q^{2} - 3q^{3} + 3q^{4} + 4q^{5} + 3q^{6} - 6q^{7} + O(q^{8})โˆ’1-1
762.2.a.l55q+5q2โˆ’5q3+5q4+2q5โˆ’5q6+5q7+O(q8)5q + 5q^{2} - 5q^{3} + 5q^{4} + 2q^{5} - 5q^{6} + 5q^{7} + O(q^{8})+1+1
763.2.a.a1qโˆ’2q2+2q4+q7+O(q8)q - 2q^{2} + 2q^{4} + q^{7} + O(q^{8})โˆ’1-1763a1 rank 1
763.2.a.b1010qโˆ’5q2โˆ’2q3+9q4โˆ’10q5โˆ’3q6+10q7+O(q8)10q - 5q^{2} - 2q^{3} + 9q^{4} - 10q^{5} - 3q^{6} + 10q^{7} + O(q^{8})โˆ’1-1
763.2.a.c1313qโˆ’3q2โˆ’6q3+13q4โˆ’14q5โˆ’3q6โˆ’13q7+O(q8)13q - 3q^{2} - 6q^{3} + 13q^{4} - 14q^{5} - 3q^{6} - 13q^{7} + O(q^{8})โˆ’1-1
763.2.a.d1414q+4q2+2q3+14q4+14q5+7q6โˆ’14q7+O(q8)14q + 4q^{2} + 2q^{3} + 14q^{4} + 14q^{5} + 7q^{6} - 14q^{7} + O(q^{8})+1+1
763.2.a.e1717q+7q2+2q3+23q4+12q5โˆ’5q6+17q7+O(q8)17q + 7q^{2} + 2q^{3} + 23q^{4} + 12q^{5} - 5q^{6} + 17q^{7} + O(q^{8})+1+1
764.2.a.a88qโˆ’5q3โˆ’4q5โˆ’7q7+O(q8)8q - 5q^{3} - 4q^{5} - 7q^{7} + O(q^{8})
764.2.a.b88q+3q3+5q7+O(q8)8q + 3q^{3} + 5q^{7} + O(q^{8})
765.2.a.a1qโˆ’q2โˆ’q4+q5โˆ’2q7+O(q8)q - q^{2} - q^{4} + q^{5} - 2q^{7} + O(q^{8})765c1 rank 1
765.2.a.b1qโˆ’q2โˆ’q4+q5+4q7+O(q8)q - q^{2} - q^{4} + q^{5} + 4q^{7} + O(q^{8})765b1 rank 0
765.2.a.c1q+q2โˆ’q4โˆ’q5+4q7+O(q8)q + q^{2} - q^{4} - q^{5} + 4q^{7} + O(q^{8})765a1 rank 0
765.2.a.d22qโˆ’3q2+3q4โˆ’2q5+O(q8)2q - 3q^{2} + 3q^{4} - 2q^{5} + O(q^{8})

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