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5951 orbits; showing 5001โ€“5100 ยท JSON

LabelDimTrace formSignCMCurve
891.2.a.f1q+q2โˆ’q4+q5โˆ’2q7+O(q8)q + q^{2} - q^{4} + q^{5} - 2q^{7} + O(q^{8})891c1 rank 0
891.2.a.g1q+q2โˆ’q4+q5+4q7+O(q8)q + q^{2} - q^{4} + q^{5} + 4q^{7} + O(q^{8})891d1 rank 0
891.2.a.h1q+2q2+2q4+2q5+4q7+O(q8)q + 2q^{2} + 2q^{4} + 2q^{5} + 4q^{7} + O(q^{8})891h1 rank 0
891.2.a.i22qโˆ’q2+3q4โˆ’q5+O(q8)2q - q^{2} + 3q^{4} - q^{5} + O(q^{8})
891.2.a.j22q+q2+3q4+q5+O(q8)2q + q^{2} + 3q^{4} + q^{5} + O(q^{8})
891.2.a.k33qโˆ’3q5โˆ’3q7+O(q8)3q - 3q^{5} - 3q^{7} + O(q^{8})
891.2.a.l33q+3q5โˆ’3q7+O(q8)3q + 3q^{5} - 3q^{7} + O(q^{8})
891.2.a.m33q+6q4โˆ’6q5+O(q8)3q + 6q^{4} - 6q^{5} + O(q^{8})
891.2.a.n33q+6q4+6q5+O(q8)3q + 6q^{4} + 6q^{5} + O(q^{8})
891.2.a.o44qโˆ’2q2+2q4โˆ’8q5โˆ’2q7+O(q8)4q - 2q^{2} + 2q^{4} - 8q^{5} - 2q^{7} + O(q^{8})
891.2.a.p44qโˆ’q2+11q4โˆ’4q5+q7+O(q8)4q - q^{2} + 11q^{4} - 4q^{5} + q^{7} + O(q^{8})
891.2.a.q44q+q2+11q4+4q5+q7+O(q8)4q + q^{2} + 11q^{4} + 4q^{5} + q^{7} + O(q^{8})
891.2.a.r44q+2q2+2q4+8q5โˆ’2q7+O(q8)4q + 2q^{2} + 2q^{4} + 8q^{5} - 2q^{7} + O(q^{8})
892.2.a.a1qโˆ’q3+2q5โˆ’2q7+O(q8)q - q^{3} + 2q^{5} - 2q^{7} + O(q^{8})892c1 rank 1
892.2.a.b1q+q3โˆ’4q7+O(q8)q + q^{3} - 4q^{7} + O(q^{8})892b1 rank 1
892.2.a.c1q+3q3+4q7+O(q8)q + 3q^{3} + 4q^{7} + O(q^{8})892a1 rank 0
892.2.a.d77qโˆ’4q3โˆ’7q5โˆ’q7+O(q8)7q - 4q^{3} - 7q^{5} - q^{7} + O(q^{8})
892.2.a.e88qโˆ’q3+5q5+5q7+O(q8)8q - q^{3} + 5q^{5} + 5q^{7} + O(q^{8})
893.2.a.a1212qโˆ’q2โˆ’9q3+7q4โˆ’7q5โˆ’13q7+O(q8)12q - q^{2} - 9q^{3} + 7q^{4} - 7q^{5} - 13q^{7} + O(q^{8})โˆ’1-1
893.2.a.b1616qโˆ’4q2โˆ’13q3+10q4โˆ’q5โˆ’9q7+O(q8)16q - 4q^{2} - 13q^{3} + 10q^{4} - q^{5} - 9q^{7} + O(q^{8})โˆ’1-1
893.2.a.c1818q+q2+13q3+21q4+5q5+6q6+3q7+O(q8)18q + q^{2} + 13q^{3} + 21q^{4} + 5q^{5} + 6q^{6} + 3q^{7} + O(q^{8})+1+1
893.2.a.d2323q+q2+13q3+31q4+q5+2q6+15q7+O(q8)23q + q^{2} + 13q^{3} + 31q^{4} + q^{5} + 2q^{6} + 15q^{7} + O(q^{8})+1+1
894.2.a.a1qโˆ’q2โˆ’q3+q4โˆ’3q5+q6+O(q8)q - q^{2} - q^{3} + q^{4} - 3q^{5} + q^{6} + O(q^{8})โˆ’1-1894b1 rank 1
894.2.a.b1qโˆ’q2โˆ’q3+q4+q6+O(q8)q - q^{2} - q^{3} + q^{4} + q^{6} + O(q^{8})โˆ’1-1894a1 rank 1
894.2.a.c1qโˆ’q2+q3+q4+q5โˆ’q6โˆ’2q7+O(q8)q - q^{2} + q^{3} + q^{4} + q^{5} - q^{6} - 2q^{7} + O(q^{8})โˆ’1-1894d1 rank 1
894.2.a.d1qโˆ’q2+q3+q4+3q5โˆ’q6+2q7+O(q8)q - q^{2} + q^{3} + q^{4} + 3q^{5} - q^{6} + 2q^{7} + O(q^{8})+1+1894c1 rank 0
894.2.a.e1q+q2โˆ’q3+q4โˆ’3q5โˆ’q6+2q7+O(q8)q + q^{2} - q^{3} + q^{4} - 3q^{5} - q^{6} + 2q^{7} + O(q^{8})โˆ’1-1894f1 rank 1
894.2.a.f1q+q2โˆ’q3+q4โˆ’q6โˆ’4q7+O(q8)q + q^{2} - q^{3} + q^{4} - q^{6} - 4q^{7} + O(q^{8})โˆ’1-1894e1 rank 1
894.2.a.g1q+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’1-1894g1 rank 1
894.2.a.h22q+2q2+2q3+2q4โˆ’q5+2q6+8q7+O(q8)2q + 2q^{2} + 2q^{3} + 2q^{4} - q^{5} + 2q^{6} + 8q^{7} + O(q^{8})+1+1
894.2.a.i33q+3q2+3q3+3q4+3q5+3q6โˆ’3q7+O(q8)3q + 3q^{2} + 3q^{3} + 3q^{4} + 3q^{5} + 3q^{6} - 3q^{7} + O(q^{8})+1+1
894.2.a.j44qโˆ’4q2โˆ’4q3+4q4+2q5+4q6โˆ’7q7+O(q8)4q - 4q^{2} - 4q^{3} + 4q^{4} + 2q^{5} + 4q^{6} - 7q^{7} + O(q^{8})+1+1
894.2.a.k44q+4q2โˆ’4q3+4q4โˆ’4q6+3q7+O(q8)4q + 4q^{2} - 4q^{3} + 4q^{4} - 4q^{6} + 3q^{7} + O(q^{8})+1+1
894.2.a.l55qโˆ’5q2+5q3+5q4โˆ’5q5โˆ’5q6+q7+O(q8)5q - 5q^{2} + 5q^{3} + 5q^{4} - 5q^{5} - 5q^{6} + q^{7} + O(q^{8})+1+1
895.2.a.a1qโˆ’q2+q3โˆ’q4โˆ’q5โˆ’q6+O(q8)q - q^{2} + q^{3} - q^{4} - q^{5} - q^{6} + O(q^{8})โˆ’1-1895a1 rank 1
895.2.a.b1qโˆ’q2+3q3โˆ’q4โˆ’q5โˆ’3q6โˆ’4q7+O(q8)q - q^{2} + 3q^{3} - q^{4} - q^{5} - 3q^{6} - 4q^{7} + O(q^{8})+1+1895b1 rank 0
895.2.a.c22qโˆ’2q2+2q3+2q4โˆ’2q5+2q6+O(q8)2q - 2q^{2} + 2q^{3} + 2q^{4} - 2q^{5} + 2q^{6} + O(q^{8})โˆ’1-1
895.2.a.d88qโˆ’q2โˆ’3q3+5q4โˆ’8q5โˆ’5q6โˆ’2q7+O(q8)8q - q^{2} - 3q^{3} + 5q^{4} - 8q^{5} - 5q^{6} - 2q^{7} + O(q^{8})โˆ’1-1
895.2.a.e1111qโˆ’6q2โˆ’4q3+10q4+11q5โˆ’2q6โˆ’10q7+O(q8)11q - 6q^{2} - 4q^{3} + 10q^{4} + 11q^{5} - 2q^{6} - 10q^{7} + O(q^{8})โˆ’1-1
895.2.a.f1818q+7q2โˆ’3q3+23q4โˆ’18q5+13q6+O(q8)18q + 7q^{2} - 3q^{3} + 23q^{4} - 18q^{5} + 13q^{6} + O(q^{8})+1+1
895.2.a.g1818q+7q2+4q3+19q4+18q5+12q7+O(q8)18q + 7q^{2} + 4q^{3} + 19q^{4} + 18q^{5} + 12q^{7} + O(q^{8})+1+1
896.2.a.a1qโˆ’q7+O(q8)q - q^{7} + O(q^{8})896b1 rank 1
896.2.a.b1qโˆ’q7+O(q8)q - q^{7} + O(q^{8})896a1 rank 1
896.2.a.c1q+q7+O(q8)q + q^{7} + O(q^{8})896d1 rank 1
896.2.a.d1q+q7+O(q8)q + q^{7} + O(q^{8})896c1 rank 0
896.2.a.e22qโˆ’2q3โˆ’2q5+2q7+O(q8)2q - 2q^{3} - 2q^{5} + 2q^{7} + O(q^{8})
896.2.a.f22qโˆ’2q3+2q5โˆ’2q7+O(q8)2q - 2q^{3} + 2q^{5} - 2q^{7} + O(q^{8})
896.2.a.g22q+2q3โˆ’2q5โˆ’2q7+O(q8)2q + 2q^{3} - 2q^{5} - 2q^{7} + O(q^{8})
896.2.a.h22q+2q3+2q5+2q7+O(q8)2q + 2q^{3} + 2q^{5} + 2q^{7} + O(q^{8})
896.2.a.i33qโˆ’2q3โˆ’2q5โˆ’3q7+O(q8)3q - 2q^{3} - 2q^{5} - 3q^{7} + O(q^{8})
896.2.a.j33qโˆ’2q3+2q5+3q7+O(q8)3q - 2q^{3} + 2q^{5} + 3q^{7} + O(q^{8})
896.2.a.k33q+2q3โˆ’2q5+3q7+O(q8)3q + 2q^{3} - 2q^{5} + 3q^{7} + O(q^{8})
896.2.a.l33q+2q3+2q5โˆ’3q7+O(q8)3q + 2q^{3} + 2q^{5} - 3q^{7} + O(q^{8})
897.2.a.a1qโˆ’q2โˆ’q3โˆ’q4โˆ’2q5+q6+O(q8)q - q^{2} - q^{3} - q^{4} - 2q^{5} + q^{6} + O(q^{8})โˆ’1-1897c1 rank 1
897.2.a.b1qโˆ’q2โˆ’q3โˆ’q4+2q5+q6+4q7+O(q8)q - q^{2} - q^{3} - q^{4} + 2q^{5} + q^{6} + 4q^{7} + O(q^{8})+1+1897b1 rank 0
897.2.a.c1qโˆ’q2+q3โˆ’q4โˆ’4q5โˆ’q6+2q7+O(q8)q - q^{2} + q^{3} - q^{4} - 4q^{5} - q^{6} + 2q^{7} + O(q^{8})โˆ’1-1897f1 rank 1
897.2.a.d1qโˆ’q2+q3โˆ’q4+2q5โˆ’q6โˆ’4q7+O(q8)q - q^{2} + q^{3} - q^{4} + 2q^{5} - q^{6} - 4q^{7} + O(q^{8})โˆ’1-1897e1 rank 1
897.2.a.e1q+q2โˆ’q3โˆ’q4โˆ’4q5โˆ’q6+2q7+O(q8)q + q^{2} - q^{3} - q^{4} - 4q^{5} - q^{6} + 2q^{7} + O(q^{8})+1+1897a1 rank 0
897.2.a.f1q+q2+q3โˆ’q4+q6โˆ’2q7+O(q8)q + q^{2} + q^{3} - q^{4} + q^{6} - 2q^{7} + O(q^{8})โˆ’1-1897d1 rank 1
897.2.a.g22qโˆ’2q2โˆ’2q3โˆ’2q4+2q6+4q7+O(q8)2q - 2q^{2} - 2q^{3} - 2q^{4} + 2q^{6} + 4q^{7} + O(q^{8})+1+1
897.2.a.h33qโˆ’3q2+3q3+11q4โˆ’8q5โˆ’3q6โˆ’5q7+O(q8)3q - 3q^{2} + 3q^{3} + 11q^{4} - 8q^{5} - 3q^{6} - 5q^{7} + O(q^{8})โˆ’1-1
897.2.a.i33qโˆ’q2โˆ’3q3+3q4+4q5+q6โˆ’7q7+O(q8)3q - q^{2} - 3q^{3} + 3q^{4} + 4q^{5} + q^{6} - 7q^{7} + O(q^{8})โˆ’1-1
897.2.a.j33qโˆ’q2+3q3โˆ’q4โˆ’4q5โˆ’q6โˆ’3q7+O(q8)3q - q^{2} + 3q^{3} - q^{4} - 4q^{5} - q^{6} - 3q^{7} + O(q^{8})โˆ’1-1
897.2.a.k44qโˆ’4q3+10q4โˆ’2q5+3q7+O(q8)4q - 4q^{3} + 10q^{4} - 2q^{5} + 3q^{7} + O(q^{8})+1+1
897.2.a.l55qโˆ’q2โˆ’5q3+q4+q6โˆ’5q7+O(q8)5q - q^{2} - 5q^{3} + q^{4} + q^{6} - 5q^{7} + O(q^{8})โˆ’1-1
897.2.a.m55q+q2+5q3+5q4+6q5+q6+5q7+O(q8)5q + q^{2} + 5q^{3} + 5q^{4} + 6q^{5} + q^{6} + 5q^{7} + O(q^{8})+1+1
897.2.a.n55q+3q2โˆ’5q3+9q4โˆ’2q5โˆ’3q6+3q7+O(q8)5q + 3q^{2} - 5q^{3} + 9q^{4} - 2q^{5} - 3q^{6} + 3q^{7} + O(q^{8})+1+1
897.2.a.o77q+3q2+7q3+7q4+6q5+3q6+3q7+O(q8)7q + 3q^{2} + 7q^{3} + 7q^{4} + 6q^{5} + 3q^{6} + 3q^{7} + O(q^{8})+1+1
898.2.a.a1qโˆ’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’1-1898a1 rank 1
898.2.a.b1qโˆ’q2+2q3+q4โˆ’2q5โˆ’2q6+O(q8)q - q^{2} + 2q^{3} + q^{4} - 2q^{5} - 2q^{6} + O(q^{8})+1+1898b1 rank 0
898.2.a.c1q+q2โˆ’q3+q4โˆ’2q5โˆ’q6+3q7+O(q8)q + q^{2} - q^{3} + q^{4} - 2q^{5} - q^{6} + 3q^{7} + O(q^{8})โˆ’1-1898d1 rank 1
898.2.a.d1q+q2+2q3+q4+2q5+2q6+O(q8)q + q^{2} + 2q^{3} + q^{4} + 2q^{5} + 2q^{6} + O(q^{8})+1+1898c1 rank 0
898.2.a.e22qโˆ’2q2โˆ’3q3+2q4โˆ’3q5+3q6โˆ’2q7+O(q8)2q - 2q^{2} - 3q^{3} + 2q^{4} - 3q^{5} + 3q^{6} - 2q^{7} + O(q^{8})โˆ’1-1
898.2.a.f33qโˆ’3q2+2q3+3q4+6q5โˆ’2q6+6q7+O(q8)3q - 3q^{2} + 2q^{3} + 3q^{4} + 6q^{5} - 2q^{6} + 6q^{7} + O(q^{8})+1+1
898.2.a.g44qโˆ’4q2+2q3+4q4+3q5โˆ’2q6โˆ’3q7+O(q8)4q - 4q^{2} + 2q^{3} + 4q^{4} + 3q^{5} - 2q^{6} - 3q^{7} + O(q^{8})+1+1
898.2.a.h55q+5q2โˆ’5q3+5q4โˆ’9q5โˆ’5q6โˆ’6q7+O(q8)5q + 5q^{2} - 5q^{3} + 5q^{4} - 9q^{5} - 5q^{6} - 6q^{7} + O(q^{8})โˆ’1-1
898.2.a.i77qโˆ’7q2โˆ’4q3+7q4โˆ’2q5+4q6โˆ’8q7+O(q8)7q - 7q^{2} - 4q^{3} + 7q^{4} - 2q^{5} + 4q^{6} - 8q^{7} + O(q^{8})โˆ’1-1
898.2.a.j1212q+12q2+6q3+12q4+11q5+6q6+q7+O(q8)12q + 12q^{2} + 6q^{3} + 12q^{4} + 11q^{5} + 6q^{6} + q^{7} + O(q^{8})+1+1
899.2.a.a1q+q2โˆ’2q3โˆ’q4+q5โˆ’2q6+2q7+O(q8)q + q^{2} - 2q^{3} - q^{4} + q^{5} - 2q^{6} + 2q^{7} + O(q^{8})โˆ’1-1899a1 rank 1
899.2.a.b1q+2q2+q3+2q4+2q5+2q6+5q7+O(q8)q + 2q^{2} + q^{3} + 2q^{4} + 2q^{5} + 2q^{6} + 5q^{7} + O(q^{8})+1+1899b1 rank 0
899.2.a.c1010qโˆ’3q3+4q4โˆ’7q5โˆ’2q7+O(q8)10q - 3q^{3} + 4q^{4} - 7q^{5} - 2q^{7} + O(q^{8})โˆ’1-1
899.2.a.d1111qโˆ’4q2+q3+4q4โˆ’6q5+2q6โˆ’8q7+O(q8)11q - 4q^{2} + q^{3} + 4q^{4} - 6q^{5} + 2q^{6} - 8q^{7} + O(q^{8})โˆ’1-1
899.2.a.e2323q+2q2+5q3+32q4+3q5+4q6+4q7+O(q8)23q + 2q^{2} + 5q^{3} + 32q^{4} + 3q^{5} + 4q^{6} + 4q^{7} + O(q^{8})+1+1
899.2.a.f2525qโˆ’2q3+36q4+9q5+2q6+3q7+O(q8)25q - 2q^{3} + 36q^{4} + 9q^{5} + 2q^{6} + 3q^{7} + O(q^{8})+1+1
900.2.a.a1qโˆ’4q7+O(q8)q - 4q^{7} + O(q^{8})900h1 rank 0
900.2.a.b1qโˆ’2q7+O(q8)q - 2q^{7} + O(q^{8})900e1 rank 1
900.2.a.c1qโˆ’q7+O(q8)q - q^{7} + O(q^{8})900f1 rank 0
900.2.a.d1qโˆ’q7+O(q8)q - q^{7} + O(q^{8})Q(โˆ’3)\mathbb{Q}(\sqrt{-3})900c1 rank 1
900.2.a.e1q+q7+O(q8)q + q^{7} + O(q^{8})900d1 rank 1
900.2.a.f1q+q7+O(q8)q + q^{7} + O(q^{8})Q(โˆ’3)\mathbb{Q}(\sqrt{-3})900a1 rank 0
900.2.a.g1q+4q7+O(q8)q + 4q^{7} + O(q^{8})Q(โˆ’3)\mathbb{Q}(\sqrt{-3})900b1 rank 0
900.2.a.h1q+4q7+O(q8)q + 4q^{7} + O(q^{8})900g1 rank 0
901.2.a.a1qโˆ’2q2โˆ’q3+2q4+3q5+2q6+2q7+O(q8)q - 2q^{2} - q^{3} + 2q^{4} + 3q^{5} + 2q^{6} + 2q^{7} + O(q^{8})โˆ’1-1901f1 rank 1
901.2.a.b1qโˆ’q2โˆ’q4+2q7+O(q8)q - q^{2} - q^{4} + 2q^{7} + O(q^{8})โˆ’1-1901a1 rank 1
901.2.a.c1qโˆ’q2โˆ’q4+3q5โˆ’q7+O(q8)q - q^{2} - q^{4} + 3q^{5} - q^{7} + O(q^{8})+1+1901d1 rank 0
901.2.a.d1qโˆ’q2+2q3โˆ’q4โˆ’2q6โˆ’4q7+O(q8)q - q^{2} + 2q^{3} - q^{4} - 2q^{6} - 4q^{7} + O(q^{8})โˆ’1-1901b1 rank 1
901.2.a.e1q+q3โˆ’2q4โˆ’3q5โˆ’4q7+O(q8)q + q^{3} - 2q^{4} - 3q^{5} - 4q^{7} + O(q^{8})+1+1901c1 rank 0
901.2.a.f1q+2q2โˆ’3q3+2q4+q5โˆ’6q6โˆ’2q7+O(q8)q + 2q^{2} - 3q^{3} + 2q^{4} + q^{5} - 6q^{6} - 2q^{7} + O(q^{8})โˆ’1-1901e1 rank 1
901.2.a.g1212qโˆ’q2โˆ’3q3+9q4โˆ’5q5โˆ’5q6+3q7+O(q8)12q - q^{2} - 3q^{3} + 9q^{4} - 5q^{5} - 5q^{6} + 3q^{7} + O(q^{8})โˆ’1-1
901.2.a.h1313qโˆ’2q2โˆ’7q3+10q4โˆ’11q5+3q6โˆ’7q7+O(q8)13q - 2q^{2} - 7q^{3} + 10q^{4} - 11q^{5} + 3q^{6} - 7q^{7} + O(q^{8})โˆ’1-1

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