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5951 orbits; showing 2601โ€“2700 ยท JSON

LabelDimTrace formSignCMCurve
576.2.a.g1q+2q5โˆ’4q7+O(q8)q + 2q^{5} - 4q^{7} + O(q^{8})576c1 rank 0
576.2.a.h1q+2q5+4q7+O(q8)q + 2q^{5} + 4q^{7} + O(q^{8})576b1 rank 0
576.2.a.i1q+4q5+O(q8)q + 4q^{5} + O(q^{8})Q(โˆ’4)\mathbb{Q}(\sqrt{-4})576f1 rank 0
577.2.a.a22q+q3โˆ’4q4+6q5โˆ’2q7+O(q8)2q + q^{3} - 4q^{4} + 6q^{5} - 2q^{7} + O(q^{8})+1+1
577.2.a.b22q+3q2+2q3+3q4+3q6โˆ’q7+O(q8)2q + 3q^{2} + 2q^{3} + 3q^{4} + 3q^{6} - q^{7} + O(q^{8})+1+1
577.2.a.c33q+q2+q3+3q4+8q6+6q7+O(q8)3q + q^{2} + q^{3} + 3q^{4} + 8q^{6} + 6q^{7} + O(q^{8})+1+1
577.2.a.d1818q+8q2+24q4โˆ’2q5โˆ’11q6+11q7+O(q8)18q + 8q^{2} + 24q^{4} - 2q^{5} - 11q^{6} + 11q^{7} + O(q^{8})+1+1
577.2.a.e2222qโˆ’13q2โˆ’8q3+21q4โˆ’8q5โˆ’4q6โˆ’20q7+O(q8)22q - 13q^{2} - 8q^{3} + 21q^{4} - 8q^{5} - 4q^{6} - 20q^{7} + O(q^{8})โˆ’1-1
578.2.a.a1q+q2+2q3+q4+2q6+4q7+O(q8)q + q^{2} + 2q^{3} + q^{4} + 2q^{6} + 4q^{7} + O(q^{8})578a1 rank 0
578.2.a.b22qโˆ’2q2+2q4+O(q8)2q - 2q^{2} + 2q^{4} + O(q^{8})
578.2.a.c22q+2q2+2q4+O(q8)2q + 2q^{2} + 2q^{4} + O(q^{8})
578.2.a.d22q+2q2+2q4+O(q8)2q + 2q^{2} + 2q^{4} + O(q^{8})
578.2.a.e33qโˆ’3q2โˆ’3q3+3q4+3q6โˆ’9q7+O(q8)3q - 3q^{2} - 3q^{3} + 3q^{4} + 3q^{6} - 9q^{7} + O(q^{8})
578.2.a.f33qโˆ’3q2+3q3+3q4โˆ’3q6+9q7+O(q8)3q - 3q^{2} + 3q^{3} + 3q^{4} - 3q^{6} + 9q^{7} + O(q^{8})
578.2.a.g33q+3q2โˆ’3q3+3q4โˆ’6q5โˆ’3q6โˆ’3q7+O(q8)3q + 3q^{2} - 3q^{3} + 3q^{4} - 6q^{5} - 3q^{6} - 3q^{7} + O(q^{8})
578.2.a.h33q+3q2+3q3+3q4+6q5+3q6+3q7+O(q8)3q + 3q^{2} + 3q^{3} + 3q^{4} + 6q^{5} + 3q^{6} + 3q^{7} + O(q^{8})
578.2.a.i44qโˆ’4q2+4q4+O(q8)4q - 4q^{2} + 4q^{4} + O(q^{8})
579.2.a.a1qโˆ’q2+q3โˆ’q4โˆ’q6+O(q8)q - q^{2} + q^{3} - q^{4} - q^{6} + O(q^{8})โˆ’1-1579b1 rank 1
579.2.a.b1q+2q2โˆ’q3+2q4+2q5โˆ’2q6+q7+O(q8)q + 2q^{2} - q^{3} + 2q^{4} + 2q^{5} - 2q^{6} + q^{7} + O(q^{8})+1+1579a1 rank 0
579.2.a.c22qโˆ’2q2โˆ’2q3โˆ’2q4โˆ’4q5+2q6+4q7+O(q8)2q - 2q^{2} - 2q^{3} - 2q^{4} - 4q^{5} + 2q^{6} + 4q^{7} + O(q^{8})โˆ’1-1
579.2.a.d33qโˆ’3q3+4q4โˆ’4q5+3q7+O(q8)3q - 3q^{3} + 4q^{4} - 4q^{5} + 3q^{7} + O(q^{8})โˆ’1-1
579.2.a.e33q+3q3โˆ’6q5โˆ’9q7+O(q8)3q + 3q^{3} - 6q^{5} - 9q^{7} + O(q^{8})โˆ’1-1
579.2.a.f1010q+2q2โˆ’10q3+14q4+8q5โˆ’2q6โˆ’10q7+O(q8)10q + 2q^{2} - 10q^{3} + 14q^{4} + 8q^{5} - 2q^{6} - 10q^{7} + O(q^{8})+1+1
579.2.a.g1313q+2q2+13q3+18q4+6q5+2q6+15q7+O(q8)13q + 2q^{2} + 13q^{3} + 18q^{4} + 6q^{5} + 2q^{6} + 15q^{7} + O(q^{8})+1+1
580.2.a.a1qโˆ’q5+O(q8)q - q^{5} + O(q^{8})580a1 rank 1
580.2.a.b1q+q5โˆ’2q7+O(q8)q + q^{5} - 2q^{7} + O(q^{8})580b1 rank 1
580.2.a.c33q+2q3โˆ’3q5โˆ’4q7+O(q8)3q + 2q^{3} - 3q^{5} - 4q^{7} + O(q^{8})
580.2.a.d33q+2q3+3q5+2q7+O(q8)3q + 2q^{3} + 3q^{5} + 2q^{7} + O(q^{8})
581.2.a.a77qโˆ’2q2โˆ’3q3+2q4โˆ’q5โˆ’2q6โˆ’7q7+O(q8)7q - 2q^{2} - 3q^{3} + 2q^{4} - q^{5} - 2q^{6} - 7q^{7} + O(q^{8})โˆ’1-1
581.2.a.b77qโˆ’7q3+2q4โˆ’5q5โˆ’4q6+7q7+O(q8)7q - 7q^{3} + 2q^{4} - 5q^{5} - 4q^{6} + 7q^{7} + O(q^{8})โˆ’1-1
581.2.a.c1313q+7q3+16q4+5q5+13q7+O(q8)13q + 7q^{3} + 16q^{4} + 5q^{5} + 13q^{7} + O(q^{8})+1+1
581.2.a.d1414q+q2+3q3+23q4โˆ’5q5+6q6โˆ’14q7+O(q8)14q + q^{2} + 3q^{3} + 23q^{4} - 5q^{5} + 6q^{6} - 14q^{7} + O(q^{8})+1+1
582.2.a.a1qโˆ’q2โˆ’q3+q4+q6โˆ’2q7+O(q8)q - q^{2} - q^{3} + q^{4} + q^{6} - 2q^{7} + O(q^{8})โˆ’1-1582a1 rank 1
582.2.a.b1q+q2โˆ’q3+q4โˆ’2q5โˆ’q6โˆ’2q7+O(q8)q + q^{2} - q^{3} + q^{4} - 2q^{5} - q^{6} - 2q^{7} + O(q^{8})โˆ’1-1582c1 rank 1
582.2.a.c1q+q2โˆ’q3+q4โˆ’q6โˆ’2q7+O(q8)q + q^{2} - q^{3} + q^{4} - q^{6} - 2q^{7} + O(q^{8})+1+1582b1 rank 0
582.2.a.d1q+q2+q3+q4โˆ’2q5+q6+O(q8)q + q^{2} + q^{3} + q^{4} - 2q^{5} + q^{6} + O(q^{8})+1+1582d1 rank 0
582.2.a.e22qโˆ’2q2+2q3+2q4โˆ’4q5โˆ’2q6โˆ’2q7+O(q8)2q - 2q^{2} + 2q^{3} + 2q^{4} - 4q^{5} - 2q^{6} - 2q^{7} + O(q^{8})โˆ’1-1
582.2.a.f22qโˆ’2q2+2q3+2q4+4q5โˆ’2q6+O(q8)2q - 2q^{2} + 2q^{3} + 2q^{4} + 4q^{5} - 2q^{6} + O(q^{8})+1+1
582.2.a.g22q+2q2โˆ’2q3+2q4โˆ’2q6+8q7+O(q8)2q + 2q^{2} - 2q^{3} + 2q^{4} - 2q^{6} + 8q^{7} + O(q^{8})+1+1
582.2.a.h22q+2q2+2q3+2q4+4q5+2q6+O(q8)2q + 2q^{2} + 2q^{3} + 2q^{4} + 4q^{5} + 2q^{6} + O(q^{8})+1+1
582.2.a.i33qโˆ’3q2โˆ’3q3+3q4+2q5+3q6+O(q8)3q - 3q^{2} - 3q^{3} + 3q^{4} + 2q^{5} + 3q^{6} + O(q^{8})+1+1
583.2.a.a1q+q2โˆ’q3โˆ’q4+4q5โˆ’q6+4q7+O(q8)q + q^{2} - q^{3} - q^{4} + 4q^{5} - q^{6} + 4q^{7} + O(q^{8})+1+1583b1 rank 0
583.2.a.b1q+2q2+q3+2q4+3q5+2q6+O(q8)q + 2q^{2} + q^{3} + 2q^{4} + 3q^{5} + 2q^{6} + O(q^{8})+1+1583a1 rank 0
583.2.a.c1q+2q2+3q3+2q4โˆ’3q5+6q6+2q7+O(q8)q + 2q^{2} + 3q^{3} + 2q^{4} - 3q^{5} + 6q^{6} + 2q^{7} + O(q^{8})+1+1583c1 rank 0
583.2.a.d22qโˆ’2q2+4q4+6q6โˆ’2q7+O(q8)2q - 2q^{2} + 4q^{4} + 6q^{6} - 2q^{7} + O(q^{8})โˆ’1-1
583.2.a.e22qโˆ’2q3โˆ’6q5+4q6+4q7+O(q8)2q - 2q^{3} - 6q^{5} + 4q^{6} + 4q^{7} + O(q^{8})โˆ’1-1
583.2.a.f66qโˆ’2q2+2q3+8q4โˆ’3q5โˆ’20q6โˆ’11q7+O(q8)6q - 2q^{2} + 2q^{3} + 8q^{4} - 3q^{5} - 20q^{6} - 11q^{7} + O(q^{8})โˆ’1-1
583.2.a.g88qโˆ’2q2โˆ’8q3+6q4โˆ’11q5+2q6โˆ’q7+O(q8)8q - 2q^{2} - 8q^{3} + 6q^{4} - 11q^{5} + 2q^{6} - q^{7} + O(q^{8})โˆ’1-1
583.2.a.h1010q+3q2โˆ’q3+9q4+8q5โˆ’2q6+3q7+O(q8)10q + 3q^{2} - q^{3} + 9q^{4} + 8q^{5} - 2q^{6} + 3q^{7} + O(q^{8})+1+1
583.2.a.i1212q+q2+6q3+15q4+10q5โˆ’5q6โˆ’3q7+O(q8)12q + q^{2} + 6q^{3} + 15q^{4} + 10q^{5} - 5q^{6} - 3q^{7} + O(q^{8})+1+1
584.2.a.a22q+q3โˆ’3q5โˆ’4q7+O(q8)2q + q^{3} - 3q^{5} - 4q^{7} + O(q^{8})
584.2.a.b33qโˆ’3q3+q5โˆ’4q7+O(q8)3q - 3q^{3} + q^{5} - 4q^{7} + O(q^{8})
584.2.a.c66q+5q3โˆ’q5+4q7+O(q8)6q + 5q^{3} - q^{5} + 4q^{7} + O(q^{8})
584.2.a.d77qโˆ’3q3+5q5+4q7+O(q8)7q - 3q^{3} + 5q^{5} + 4q^{7} + O(q^{8})
585.2.a.a1qโˆ’2q2+2q4โˆ’q5โˆ’3q7+O(q8)q - 2q^{2} + 2q^{4} - q^{5} - 3q^{7} + O(q^{8})585g1 rank 1
585.2.a.b1qโˆ’2q2+2q4โˆ’q5+3q7+O(q8)q - 2q^{2} + 2q^{4} - q^{5} + 3q^{7} + O(q^{8})585e1 rank 0
585.2.a.c1qโˆ’2q2+2q4+q5โˆ’q7+O(q8)q - 2q^{2} + 2q^{4} + q^{5} - q^{7} + O(q^{8})585i1 rank 1
585.2.a.d1qโˆ’q2โˆ’q4โˆ’q5+2q7+O(q8)q - q^{2} - q^{4} - q^{5} + 2q^{7} + O(q^{8})585a1 rank 1
585.2.a.e1qโˆ’2q4โˆ’q5โˆ’q7+O(q8)q - 2q^{4} - q^{5} - q^{7} + O(q^{8})585b1 rank 0
585.2.a.f1qโˆ’2q4+q5โˆ’q7+O(q8)q - 2q^{4} + q^{5} - q^{7} + O(q^{8})585d1 rank 1
585.2.a.g1q+q2โˆ’q4โˆ’q5+O(q8)q + q^{2} - q^{4} - q^{5} + O(q^{8})585f1 rank 1
585.2.a.h1q+q2โˆ’q4+q5โˆ’4q7+O(q8)q + q^{2} - q^{4} + q^{5} - 4q^{7} + O(q^{8})585h1 rank 1
585.2.a.i1q+q2โˆ’q4+q5+2q7+O(q8)q + q^{2} - q^{4} + q^{5} + 2q^{7} + O(q^{8})585c1 rank 0
585.2.a.j22qโˆ’q2+5q4โˆ’2q5โˆ’5q7+O(q8)2q - q^{2} + 5q^{4} - 2q^{5} - 5q^{7} + O(q^{8})
585.2.a.k22q+2q4+2q5+4q7+O(q8)2q + 2q^{4} + 2q^{5} + 4q^{7} + O(q^{8})
585.2.a.l22q+q2+5q4+2q5โˆ’5q7+O(q8)2q + q^{2} + 5q^{4} + 2q^{5} - 5q^{7} + O(q^{8})
585.2.a.m22q+2q2+2q4โˆ’2q5+4q7+O(q8)2q + 2q^{2} + 2q^{4} - 2q^{5} + 4q^{7} + O(q^{8})
585.2.a.n33q+8q4+3q5+q7+O(q8)3q + 8q^{4} + 3q^{5} + q^{7} + O(q^{8})
586.2.a.a1qโˆ’q2+2q3+q4+3q5โˆ’2q6+O(q8)q - q^{2} + 2q^{3} + q^{4} + 3q^{5} - 2q^{6} + O(q^{8})+1+1586a1 rank 0
586.2.a.b1q+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’1-1586c1 rank 1
586.2.a.c1q+q2โˆ’q3+q4โˆ’q6โˆ’3q7+O(q8)q + q^{2} - q^{3} + q^{4} - q^{6} - 3q^{7} + O(q^{8})โˆ’1-1586b1 rank 1
586.2.a.d33qโˆ’3q2โˆ’3q3+3q4+2q5+3q6+q7+O(q8)3q - 3q^{2} - 3q^{3} + 3q^{4} + 2q^{5} + 3q^{6} + q^{7} + O(q^{8})โˆ’1-1
586.2.a.e33qโˆ’3q2+3q4โˆ’6q5+O(q8)3q - 3q^{2} + 3q^{4} - 6q^{5} + O(q^{8})โˆ’1-1
586.2.a.f55qโˆ’5q2+5q4โˆ’4q5โˆ’3q7+O(q8)5q - 5q^{2} + 5q^{4} - 4q^{5} - 3q^{7} + O(q^{8})+1+1
586.2.a.g1010q+10q2โˆ’q3+10q4+3q5โˆ’q6+2q7+O(q8)10q + 10q^{2} - q^{3} + 10q^{4} + 3q^{5} - q^{6} + 2q^{7} + O(q^{8})+1+1
587.2.a.a55qโˆ’3q2โˆ’2q3+5q4+2q5โˆ’4q7+O(q8)5q - 3q^{2} - 2q^{3} + 5q^{4} + 2q^{5} - 4q^{7} + O(q^{8})โˆ’1-1
587.2.a.b1313qโˆ’3q2โˆ’2q3+5q4โˆ’11q5โˆ’8q6โˆ’15q7+O(q8)13q - 3q^{2} - 2q^{3} + 5q^{4} - 11q^{5} - 8q^{6} - 15q^{7} + O(q^{8})โˆ’1-1
587.2.a.c3131q+6q2+2q3+38q4+7q5โˆ’4q6+19q7+O(q8)31q + 6q^{2} + 2q^{3} + 38q^{4} + 7q^{5} - 4q^{6} + 19q^{7} + O(q^{8})+1+1
588.2.a.a1qโˆ’q3โˆ’2q5+O(q8)q - q^{3} - 2q^{5} + O(q^{8})588a1 rank 0
588.2.a.b1qโˆ’q3โˆ’2q5+O(q8)q - q^{3} - 2q^{5} + O(q^{8})588c1 rank 1
588.2.a.c1qโˆ’q3+O(q8)q - q^{3} + O(q^{8})588b1 rank 1
588.2.a.d1q+q3โˆ’4q5+O(q8)q + q^{3} - 4q^{5} + O(q^{8})588f1 rank 0
588.2.a.e1q+q3+2q5+O(q8)q + q^{3} + 2q^{5} + O(q^{8})588e1 rank 0
588.2.a.f1q+q3+2q5+O(q8)q + q^{3} + 2q^{5} + O(q^{8})588d1 rank 0
589.2.a.a33q+q2+2q3+3q4โˆ’4q6โˆ’2q7+O(q8)3q + q^{2} + 2q^{3} + 3q^{4} - 4q^{6} - 2q^{7} + O(q^{8})+1+1
589.2.a.b99qโˆ’4q2โˆ’5q3+8q4โˆ’10q5โˆ’q6โˆ’q7+O(q8)9q - 4q^{2} - 5q^{3} + 8q^{4} - 10q^{5} - q^{6} - q^{7} + O(q^{8})โˆ’1-1
589.2.a.c99q+7q3+10q4+5q6+q7+O(q8)9q + 7q^{3} + 10q^{4} + 5q^{6} + q^{7} + O(q^{8})+1+1
589.2.a.d1010qโˆ’7q3+6q4โˆ’7q5โˆ’5q6โˆ’2q7+O(q8)10q - 7q^{3} + 6q^{4} - 7q^{5} - 5q^{6} - 2q^{7} + O(q^{8})โˆ’1-1
589.2.a.e1414q+7q3+18q4+9q5+9q6+6q7+O(q8)14q + 7q^{3} + 18q^{4} + 9q^{5} + 9q^{6} + 6q^{7} + O(q^{8})+1+1
590.2.a.a1qโˆ’q2โˆ’2q3+q4โˆ’q5+2q6+5q7+O(q8)q - q^{2} - 2q^{3} + q^{4} - q^{5} + 2q^{6} + 5q^{7} + O(q^{8})+1+1590a1 rank 0
590.2.a.b1qโˆ’q2+q4+q5+q7+O(q8)q - q^{2} + q^{4} + q^{5} + q^{7} + O(q^{8})โˆ’1-1590c1 rank 1
590.2.a.c1qโˆ’q2+q4+q5+4q7+O(q8)q - q^{2} + q^{4} + q^{5} + 4q^{7} + O(q^{8})+1+1590b1 rank 0
590.2.a.d1q+q2โˆ’2q3+q4+q5โˆ’2q6โˆ’3q7+O(q8)q + q^{2} - 2q^{3} + q^{4} + q^{5} - 2q^{6} - 3q^{7} + O(q^{8})โˆ’1-1590d1 rank 1
590.2.a.e22qโˆ’2q2โˆ’2q3+2q4โˆ’2q5+2q6โˆ’2q7+O(q8)2q - 2q^{2} - 2q^{3} + 2q^{4} - 2q^{5} + 2q^{6} - 2q^{7} + O(q^{8})โˆ’1-1
590.2.a.f22qโˆ’2q2+2q4+2q5โˆ’2q7+O(q8)2q - 2q^{2} + 2q^{4} + 2q^{5} - 2q^{7} + O(q^{8})+1+1
590.2.a.g22qโˆ’2q2+q3+2q4+2q5โˆ’q6โˆ’2q7+O(q8)2q - 2q^{2} + q^{3} + 2q^{4} + 2q^{5} - q^{6} - 2q^{7} + O(q^{8})+1+1
590.2.a.h22qโˆ’2q2+3q3+2q4โˆ’2q5โˆ’3q6+2q7+O(q8)2q - 2q^{2} + 3q^{3} + 2q^{4} - 2q^{5} - 3q^{6} + 2q^{7} + O(q^{8})+1+1
590.2.a.i22q+2q2โˆ’4q3+2q4โˆ’2q5โˆ’4q6โˆ’2q7+O(q8)2q + 2q^{2} - 4q^{3} + 2q^{4} - 2q^{5} - 4q^{6} - 2q^{7} + O(q^{8})โˆ’1-1
590.2.a.j33q+3q2+3q3+3q4โˆ’3q5+3q6+3q7+O(q8)3q + 3q^{2} + 3q^{3} + 3q^{4} - 3q^{5} + 3q^{6} + 3q^{7} + O(q^{8})+1+1
590.2.a.k44q+4q2+3q3+4q4+4q5+3q6+4q7+O(q8)4q + 4q^{2} + 3q^{3} + 4q^{4} + 4q^{5} + 3q^{6} + 4q^{7} + O(q^{8})+1+1

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