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784 orbits; showing 701โ€“784 ยท JSON

LabelDimTrace formSignCMCurve
791.2.a.a1qโˆ’q2โˆ’q4+2q5+q7+O(q8)q - q^{2} - q^{4} + 2q^{5} + q^{7} + O(q^{8})โˆ’1-1791c1 rank 1
791.2.a.b1q+q2โˆ’2q3โˆ’q4โˆ’4q5โˆ’2q6โˆ’q7+O(q8)q + q^{2} - 2q^{3} - q^{4} - 4q^{5} - 2q^{6} - q^{7} + O(q^{8})+1+1791b1 rank 0
791.2.a.c1q+q2โˆ’2q3โˆ’q4โˆ’2q6โˆ’q7+O(q8)q + q^{2} - 2q^{3} - q^{4} - 2q^{6} - q^{7} + O(q^{8})+1+1791a1 rank 0
791.2.a.d44qโˆ’q3โˆ’4q5โˆ’4q6+4q7+O(q8)4q - q^{3} - 4q^{5} - 4q^{6} + 4q^{7} + O(q^{8})โˆ’1-1
791.2.a.e88qโˆ’q3+4q4โˆ’4q5โˆ’4q6โˆ’8q7+O(q8)8q - q^{3} + 4q^{4} - 4q^{5} - 4q^{6} - 8q^{7} + O(q^{8})โˆ’1-1
791.2.a.f1818qโˆ’2q2+9q3+26q4+12q5+14q6โˆ’18q7+O(q8)18q - 2q^{2} + 9q^{3} + 26q^{4} + 12q^{5} + 14q^{6} - 18q^{7} + O(q^{8})+1+1
791.2.a.g2424q+4q2+q3+36q4+4q5โˆ’2q6+24q7+O(q8)24q + 4q^{2} + q^{3} + 36q^{4} + 4q^{5} - 2q^{6} + 24q^{7} + O(q^{8})+1+1
792.2.a.a1qโˆ’4q5โˆ’2q7+O(q8)q - 4q^{5} - 2q^{7} + O(q^{8})792g1 rank 0
792.2.a.b1qโˆ’2q5+O(q8)q - 2q^{5} + O(q^{8})792d1 rank 1
792.2.a.c1qโˆ’2q7+O(q8)q - 2q^{7} + O(q^{8})792a1 rank 1
792.2.a.d1qโˆ’2q7+O(q8)q - 2q^{7} + O(q^{8})792c1 rank 1
792.2.a.e1q+2q7+O(q8)q + 2q^{7} + O(q^{8})792b1 rank 0
792.2.a.f1q+2q5+4q7+O(q8)q + 2q^{5} + 4q^{7} + O(q^{8})792e1 rank 0
792.2.a.g1q+3q5โˆ’2q7+O(q8)q + 3q^{5} - 2q^{7} + O(q^{8})792f1 rank 0
792.2.a.h22qโˆ’3q5โˆ’2q7+O(q8)2q - 3q^{5} - 2q^{7} + O(q^{8})
792.2.a.i22q+4q7+O(q8)2q + 4q^{7} + O(q^{8})
792.2.a.j22q+4q7+O(q8)2q + 4q^{7} + O(q^{8})
793.2.a.a1q+q2โˆ’q4+2q5โˆ’4q7+O(q8)q + q^{2} - q^{4} + 2q^{5} - 4q^{7} + O(q^{8})โˆ’1-1793a1 rank 1
793.2.a.b44qโˆ’q2โˆ’3q3+3q4โˆ’7q5+5q6โˆ’q7+O(q8)4q - q^{2} - 3q^{3} + 3q^{4} - 7q^{5} + 5q^{6} - q^{7} + O(q^{8})โˆ’1-1
793.2.a.c99qโˆ’3q2โˆ’7q3+9q4+q5โˆ’5q6โˆ’7q7+O(q8)9q - 3q^{2} - 7q^{3} + 9q^{4} + q^{5} - 5q^{6} - 7q^{7} + O(q^{8})โˆ’1-1
793.2.a.d1515qโˆ’8q2โˆ’6q3+18q4โˆ’8q5โˆ’6q6โˆ’12q7+O(q8)15q - 8q^{2} - 6q^{3} + 18q^{4} - 8q^{5} - 6q^{6} - 12q^{7} + O(q^{8})โˆ’1-1
793.2.a.e1616q+3q2+6q3+17q4+4q5+8q6+10q7+O(q8)16q + 3q^{2} + 6q^{3} + 17q^{4} + 4q^{5} + 8q^{6} + 10q^{7} + O(q^{8})+1+1
793.2.a.f1616q+5q2+6q3+17q4+10q5+2q6+10q7+O(q8)16q + 5q^{2} + 6q^{3} + 17q^{4} + 10q^{5} + 2q^{6} + 10q^{7} + O(q^{8})+1+1
794.2.a.a1qโˆ’q2โˆ’2q3+q4โˆ’4q5+2q6โˆ’3q7+O(q8)q - q^{2} - 2q^{3} + q^{4} - 4q^{5} + 2q^{6} - 3q^{7} + O(q^{8})+1+1794a1 rank 2
794.2.a.b1q+q2โˆ’2q3+q4โˆ’2q6โˆ’q7+O(q8)q + q^{2} - 2q^{3} + q^{4} - 2q^{6} - q^{7} + O(q^{8})โˆ’1-1794d1 rank 1
794.2.a.c1q+q2โˆ’q3+q4โˆ’q5โˆ’q6+O(q8)q + q^{2} - q^{3} + q^{4} - q^{5} - q^{6} + O(q^{8})โˆ’1-1794c1 rank 1
794.2.a.d1q+q2+q3+q4โˆ’3q5+q6โˆ’4q7+O(q8)q + q^{2} + q^{3} + q^{4} - 3q^{5} + q^{6} - 4q^{7} + O(q^{8})โˆ’1-1794b1 rank 1
794.2.a.e22qโˆ’2q2โˆ’2q3+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
794.2.a.f22qโˆ’2q2+2q4+2q7+O(q8)2q - 2q^{2} + 2q^{4} + 2q^{7} + O(q^{8})โˆ’1-1
794.2.a.g1212qโˆ’12q2+7q3+12q4+3q5โˆ’7q6+7q7+O(q8)12q - 12q^{2} + 7q^{3} + 12q^{4} + 3q^{5} - 7q^{6} + 7q^{7} + O(q^{8})+1+1
794.2.a.h1414q+14q2+q3+14q4+7q5+q6+7q7+O(q8)14q + 14q^{2} + q^{3} + 14q^{4} + 7q^{5} + q^{6} + 7q^{7} + O(q^{8})+1+1
795.2.a.a1qโˆ’q3โˆ’2q4โˆ’q5โˆ’2q7+O(q8)q - q^{3} - 2q^{4} - q^{5} - 2q^{7} + O(q^{8})+1+1795b1 rank 0
795.2.a.b1q+q3โˆ’2q4โˆ’q5+2q7+O(q8)q + q^{3} - 2q^{4} - q^{5} + 2q^{7} + O(q^{8})+1+1795c1 rank 0
795.2.a.c1q+q2โˆ’q3โˆ’q4โˆ’q5โˆ’q6+4q7+O(q8)q + q^{2} - q^{3} - q^{4} - q^{5} - q^{6} + 4q^{7} + O(q^{8})โˆ’1-1795a1 rank 1
795.2.a.d1q+q2+q3โˆ’q4โˆ’q5+q6+O(q8)q + q^{2} + q^{3} - q^{4} - q^{5} + q^{6} + O(q^{8})+1+1795d1 rank 0
795.2.a.e33qโˆ’3q2+3q3+3q4+3q5โˆ’3q6โˆ’9q7+O(q8)3q - 3q^{2} + 3q^{3} + 3q^{4} + 3q^{5} - 3q^{6} - 9q^{7} + O(q^{8})โˆ’1-1
795.2.a.f33qโˆ’q2โˆ’3q3+3q4โˆ’3q5+q6+q7+O(q8)3q - q^{2} - 3q^{3} + 3q^{4} - 3q^{5} + q^{6} + q^{7} + O(q^{8})โˆ’1-1
795.2.a.g33qโˆ’q2+3q3โˆ’q4โˆ’3q5โˆ’q6โˆ’5q7+O(q8)3q - q^{2} + 3q^{3} - q^{4} - 3q^{5} - q^{6} - 5q^{7} + O(q^{8})โˆ’1-1
795.2.a.h33q+q2โˆ’3q3+3q4โˆ’3q5โˆ’q6โˆ’5q7+O(q8)3q + q^{2} - 3q^{3} + 3q^{4} - 3q^{5} - q^{6} - 5q^{7} + O(q^{8})+1+1
795.2.a.i44qโˆ’4q2โˆ’4q3+6q4+4q5+4q6+q7+O(q8)4q - 4q^{2} - 4q^{3} + 6q^{4} + 4q^{5} + 4q^{6} + q^{7} + O(q^{8})โˆ’1-1
795.2.a.j44q+3q2โˆ’4q3+5q4+4q5โˆ’3q6โˆ’3q7+O(q8)4q + 3q^{2} - 4q^{3} + 5q^{4} + 4q^{5} - 3q^{6} - 3q^{7} + O(q^{8})+1+1
795.2.a.k55qโˆ’q2+5q3+13q4โˆ’5q5โˆ’q6+9q7+O(q8)5q - q^{2} + 5q^{3} + 13q^{4} - 5q^{5} - q^{6} + 9q^{7} + O(q^{8})+1+1
795.2.a.l66q+q2+6q3+7q4+6q5+q6+7q7+O(q8)6q + q^{2} + 6q^{3} + 7q^{4} + 6q^{5} + q^{6} + 7q^{7} + O(q^{8})+1+1
796.2.a.a33q+q7+O(q8)3q + q^{7} + O(q^{8})
796.2.a.b55qโˆ’4q3โˆ’6q5โˆ’5q7+O(q8)5q - 4q^{3} - 6q^{5} - 5q^{7} + O(q^{8})
796.2.a.c88q+2q3+2q5+4q7+O(q8)8q + 2q^{3} + 2q^{5} + 4q^{7} + O(q^{8})
797.2.a.a1qโˆ’q2+q3โˆ’q4โˆ’q6+O(q8)q - q^{2} + q^{3} - q^{4} - q^{6} + O(q^{8})โˆ’1-1797a1 rank 1
797.2.a.b22qโˆ’2q2+2q3โˆ’2q4+4q5โˆ’2q6+8q7+O(q8)2q - 2q^{2} + 2q^{3} - 2q^{4} + 4q^{5} - 2q^{6} + 8q^{7} + O(q^{8})+1+1
797.2.a.c2525qโˆ’6q2โˆ’16q3+14q4โˆ’4q5โˆ’25q7+O(q8)25q - 6q^{2} - 16q^{3} + 14q^{4} - 4q^{5} - 25q^{7} + O(q^{8})โˆ’1-1
797.2.a.d3838q+9q2+13q3+53q4โˆ’2q5+3q6+19q7+O(q8)38q + 9q^{2} + 13q^{3} + 53q^{4} - 2q^{5} + 3q^{6} + 19q^{7} + O(q^{8})+1+1
798.2.a.a1qโˆ’q2โˆ’q3+q4+q6โˆ’q7+O(q8)q - q^{2} - q^{3} + q^{4} + q^{6} - q^{7} + O(q^{8})โˆ’1-1798a1 rank 1
798.2.a.b1qโˆ’q2+q3+q4โˆ’2q5โˆ’q6โˆ’q7+O(q8)q - q^{2} + q^{3} + q^{4} - 2q^{5} - q^{6} - q^{7} + O(q^{8})โˆ’1-1798c1 rank 1
798.2.a.c1qโˆ’q2+q3+q4โˆ’2q5โˆ’q6+q7+O(q8)q - q^{2} + q^{3} + q^{4} - 2q^{5} - q^{6} + q^{7} + O(q^{8})โˆ’1-1798d1 rank 1
798.2.a.d1qโˆ’q2+q3+q4โˆ’q6+q7+O(q8)q - q^{2} + q^{3} + q^{4} - q^{6} + q^{7} + O(q^{8})+1+1798e1 rank 0
798.2.a.e1qโˆ’q2+q3+q4+2q5โˆ’q6โˆ’q7+O(q8)q - q^{2} + q^{3} + q^{4} + 2q^{5} - q^{6} - q^{7} + O(q^{8})+1+1798b1 rank 0
798.2.a.f1qโˆ’q2+q3+q4+4q5โˆ’q6+q7+O(q8)q - q^{2} + q^{3} + q^{4} + 4q^{5} - q^{6} + q^{7} + O(q^{8})+1+1798f1 rank 0
798.2.a.g1q+q2โˆ’q3+q4โˆ’2q5โˆ’q6โˆ’q7+O(q8)q + q^{2} - q^{3} + q^{4} - 2q^{5} - q^{6} - q^{7} + O(q^{8})โˆ’1-1798g1 rank 1
798.2.a.h1q+q2+q3+q4โˆ’4q5+q6โˆ’q7+O(q8)q + q^{2} + q^{3} + q^{4} - 4q^{5} + q^{6} - q^{7} + O(q^{8})โˆ’1-1798h1 rank 1
798.2.a.i1q+q2+q3+q4+2q5+q6โˆ’q7+O(q8)q + q^{2} + q^{3} + q^{4} + 2q^{5} + q^{6} - q^{7} + O(q^{8})+1+1798i1 rank 0
798.2.a.j22qโˆ’2q2โˆ’2q3+2q4โˆ’2q5+2q6+2q7+O(q8)2q - 2q^{2} - 2q^{3} + 2q^{4} - 2q^{5} + 2q^{6} + 2q^{7} + O(q^{8})+1+1
798.2.a.k22qโˆ’2q2โˆ’2q3+2q4+2q6โˆ’2q7+O(q8)2q - 2q^{2} - 2q^{3} + 2q^{4} + 2q^{6} - 2q^{7} + O(q^{8})+1+1
798.2.a.l22q+2q2โˆ’2q3+2q4โˆ’2q6+2q7+O(q8)2q + 2q^{2} - 2q^{3} + 2q^{4} - 2q^{6} + 2q^{7} + O(q^{8})+1+1
798.2.a.m22q+2q2+2q3+2q4+2q5+2q6+2q7+O(q8)2q + 2q^{2} + 2q^{3} + 2q^{4} + 2q^{5} + 2q^{6} + 2q^{7} + O(q^{8})+1+1
799.2.a.a1qโˆ’q2+2q3โˆ’q4โˆ’2q6โˆ’2q7+O(q8)q - q^{2} + 2q^{3} - q^{4} - 2q^{6} - 2q^{7} + O(q^{8})โˆ’1-1799b1 rank 1
799.2.a.b1qโˆ’q2+2q3โˆ’q4+4q5โˆ’2q6โˆ’2q7+O(q8)q - q^{2} + 2q^{3} - q^{4} + 4q^{5} - 2q^{6} - 2q^{7} + O(q^{8})+1+1799a1 rank 0
799.2.a.c22qโˆ’3q2+3q4โˆ’q5โˆ’5q6โˆ’2q7+O(q8)2q - 3q^{2} + 3q^{4} - q^{5} - 5q^{6} - 2q^{7} + O(q^{8})โˆ’1-1
799.2.a.d88q+q2โˆ’7q3+7q4โˆ’10q5+2q6โˆ’9q7+O(q8)8q + q^{2} - 7q^{3} + 7q^{4} - 10q^{5} + 2q^{6} - 9q^{7} + O(q^{8})โˆ’1-1
799.2.a.e1212qโˆ’4q2โˆ’q3+8q4โˆ’11q5โˆ’q6+q7+O(q8)12q - 4q^{2} - q^{3} + 8q^{4} - 11q^{5} - q^{6} + q^{7} + O(q^{8})โˆ’1-1
799.2.a.f1717q+3q2+q3+19q4+11q5+5q6+q7+O(q8)17q + 3q^{2} + q^{3} + 19q^{4} + 11q^{5} + 5q^{6} + q^{7} + O(q^{8})+1+1
799.2.a.g2020q+4q2+3q3+24q4+13q5+11q6โˆ’3q7+O(q8)20q + 4q^{2} + 3q^{3} + 24q^{4} + 13q^{5} + 11q^{6} - 3q^{7} + O(q^{8})+1+1
800.2.a.a1qโˆ’2q3โˆ’2q7+O(q8)q - 2q^{3} - 2q^{7} + O(q^{8})800c1 rank 1
800.2.a.b1qโˆ’q3+2q7+O(q8)q - q^{3} + 2q^{7} + O(q^{8})800i1 rank 1
800.2.a.c1qโˆ’q3+2q7+O(q8)q - q^{3} + 2q^{7} + O(q^{8})800f1 rank 0
800.2.a.d1q+O(q8)q + O(q^{8})Q(โˆ’4)\mathbb{Q}(\sqrt{-4})800a1 rank 1
800.2.a.e1q+O(q8)q + O(q^{8})Q(โˆ’4)\mathbb{Q}(\sqrt{-4})800h1 rank 1
800.2.a.f1q+O(q8)q + O(q^{8})Q(โˆ’4)\mathbb{Q}(\sqrt{-4})800d1 rank 0
800.2.a.g1q+q3โˆ’2q7+O(q8)q + q^{3} - 2q^{7} + O(q^{8})800b1 rank 1
800.2.a.h1q+q3โˆ’2q7+O(q8)q + q^{3} - 2q^{7} + O(q^{8})800e1 rank 0
800.2.a.i1q+2q3+2q7+O(q8)q + 2q^{3} + 2q^{7} + O(q^{8})800g1 rank 0
800.2.a.j22qโˆ’2q3โˆ’6q7+O(q8)2q - 2q^{3} - 6q^{7} + O(q^{8})Q(โˆ’20)\mathbb{Q}(\sqrt{-20})
800.2.a.k22q+O(q8)2q + O(q^{8})
800.2.a.l22q+O(q8)2q + O(q^{8})
800.2.a.m22q+O(q8)2q + O(q^{8})
800.2.a.n22q+2q3+6q7+O(q8)2q + 2q^{3} + 6q^{7} + O(q^{8})Q(โˆ’20)\mathbb{Q}(\sqrt{-20})

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