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612 orbits; showing 101โ€“200 ยท JSON

LabelDimTrace formSignCMCurve
418.2.a.h33q+3q2+q3+3q4+5q5+q6+q7+O(q8)3q + 3q^{2} + q^{3} + 3q^{4} + 5q^{5} + q^{6} + q^{7} + O(q^{8})+1+1
419.2.a.a99qโˆ’2q2โˆ’4q3โˆ’5q5โˆ’3q6โˆ’7q7+O(q8)9q - 2q^{2} - 4q^{3} - 5q^{5} - 3q^{6} - 7q^{7} + O(q^{8})โˆ’1-1
419.2.a.b2626q+2q2+2q3+38q4+5q5+5q6+7q7+O(q8)26q + 2q^{2} + 2q^{3} + 38q^{4} + 5q^{5} + 5q^{6} + 7q^{7} + O(q^{8})+1+1
420.2.a.a1qโˆ’q3โˆ’q5โˆ’q7+O(q8)q - q^{3} - q^{5} - q^{7} + O(q^{8})420a1 rank 0
420.2.a.b1qโˆ’q3+q5+q7+O(q8)q - q^{3} + q^{5} + q^{7} + O(q^{8})420b1 rank 0
420.2.a.c1q+q3โˆ’q5+q7+O(q8)q + q^{3} - q^{5} + q^{7} + O(q^{8})420c1 rank 0
420.2.a.d1q+q3+q5โˆ’q7+O(q8)q + q^{3} + q^{5} - q^{7} + O(q^{8})420d1 rank 0
421.2.a.a1515qโˆ’6q2โˆ’9q3+10q4โˆ’11q5โˆ’10q6โˆ’5q7+O(q8)15q - 6q^{2} - 9q^{3} + 10q^{4} - 11q^{5} - 10q^{6} - 5q^{7} + O(q^{8})โˆ’1-1
421.2.a.b1919q+4q2+7q3+18q4+7q5+8q6+3q7+O(q8)19q + 4q^{2} + 7q^{3} + 18q^{4} + 7q^{5} + 8q^{6} + 3q^{7} + O(q^{8})+1+1
422.2.a.a1qโˆ’q2+q4+q5โˆ’2q7+O(q8)q - q^{2} + q^{4} + q^{5} - 2q^{7} + O(q^{8})โˆ’1-1422a1 rank 1
422.2.a.b22qโˆ’2q2+3q3+2q4+2q5โˆ’3q6+8q7+O(q8)2q - 2q^{2} + 3q^{3} + 2q^{4} + 2q^{5} - 3q^{6} + 8q^{7} + O(q^{8})+1+1
422.2.a.c33qโˆ’3q2โˆ’q3+3q4โˆ’5q5+q6โˆ’5q7+O(q8)3q - 3q^{2} - q^{3} + 3q^{4} - 5q^{5} + q^{6} - 5q^{7} + O(q^{8})โˆ’1-1
422.2.a.d33qโˆ’3q2โˆ’q3+3q4+q5+q6+q7+O(q8)3q - 3q^{2} - q^{3} + 3q^{4} + q^{5} + q^{6} + q^{7} + O(q^{8})+1+1
422.2.a.e33q+3q2โˆ’5q3+3q4โˆ’3q5โˆ’5q6โˆ’9q7+O(q8)3q + 3q^{2} - 5q^{3} + 3q^{4} - 3q^{5} - 5q^{6} - 9q^{7} + O(q^{8})โˆ’1-1
422.2.a.f66q+6q2+4q3+6q4โˆ’2q5+4q6+7q7+O(q8)6q + 6q^{2} + 4q^{3} + 6q^{4} - 2q^{5} + 4q^{6} + 7q^{7} + O(q^{8})+1+1
423.2.a.a1qโˆ’2q2+2q4โˆ’3q5+q7+O(q8)q - 2q^{2} + 2q^{4} - 3q^{5} + q^{7} + O(q^{8})423g1 rank 1
423.2.a.b1qโˆ’2q2+2q4+q5โˆ’3q7+O(q8)q - 2q^{2} + 2q^{4} + q^{5} - 3q^{7} + O(q^{8})423f1 rank 1
423.2.a.c1qโˆ’2q4+q5โˆ’3q7+O(q8)q - 2q^{4} + q^{5} - 3q^{7} + O(q^{8})423a1 rank 1
423.2.a.d1q+q2โˆ’q4โˆ’2q5+O(q8)q + q^{2} - q^{4} - 2q^{5} + O(q^{8})423c1 rank 1
423.2.a.e1q+q2โˆ’q4+4q7+O(q8)q + q^{2} - q^{4} + 4q^{7} + O(q^{8})423b1 rank 0
423.2.a.f1q+2q2+2q4+3q5โˆ’3q7+O(q8)q + 2q^{2} + 2q^{4} + 3q^{5} - 3q^{7} + O(q^{8})423e1 rank 0
423.2.a.g1q+2q2+2q4+3q5+q7+O(q8)q + 2q^{2} + 2q^{4} + 3q^{5} + q^{7} + O(q^{8})423d1 rank 0
423.2.a.h22q+q2+5q4โˆ’q5+q7+O(q8)2q + q^{2} + 5q^{4} - q^{5} + q^{7} + O(q^{8})
423.2.a.i33qโˆ’2q2+4q4โˆ’q5โˆ’3q7+O(q8)3q - 2q^{2} + 4q^{4} - q^{5} - 3q^{7} + O(q^{8})
423.2.a.j33q+2q2+4q4+q5โˆ’3q7+O(q8)3q + 2q^{2} + 4q^{4} + q^{5} - 3q^{7} + O(q^{8})
423.2.a.k44qโˆ’q2+3q4+2q5+4q7+O(q8)4q - q^{2} + 3q^{4} + 2q^{5} + 4q^{7} + O(q^{8})
424.2.a.a22qโˆ’2q3โˆ’4q5+4q7+O(q8)2q - 2q^{3} - 4q^{5} + 4q^{7} + O(q^{8})
424.2.a.b33qโˆ’q3โˆ’2q5โˆ’8q7+O(q8)3q - q^{3} - 2q^{5} - 8q^{7} + O(q^{8})
424.2.a.c33q+2q3+3q5+6q7+O(q8)3q + 2q^{3} + 3q^{5} + 6q^{7} + O(q^{8})
424.2.a.d55q+q3+5q5โˆ’6q7+O(q8)5q + q^{3} + 5q^{5} - 6q^{7} + O(q^{8})
425.2.a.a1qโˆ’q2โˆ’2q3โˆ’q4+2q6+2q7+O(q8)q - q^{2} - 2q^{3} - q^{4} + 2q^{6} + 2q^{7} + O(q^{8})425d1 rank 1
425.2.a.b1qโˆ’q2+q3โˆ’q4โˆ’q6โˆ’q7+O(q8)q - q^{2} + q^{3} - q^{4} - q^{6} - q^{7} + O(q^{8})425c1 rank 1
425.2.a.c1q+q2โˆ’q3โˆ’q4โˆ’q6+q7+O(q8)q + q^{2} - q^{3} - q^{4} - q^{6} + q^{7} + O(q^{8})425b1 rank 1
425.2.a.d1q+q2โˆ’q4โˆ’4q7+O(q8)q + q^{2} - q^{4} - 4q^{7} + O(q^{8})425a1 rank 1
425.2.a.e22qโˆ’2q3+2q4โˆ’6q6+2q7+O(q8)2q - 2q^{3} + 2q^{4} - 6q^{6} + 2q^{7} + O(q^{8})
425.2.a.f22q+2q2+4q3+2q4+4q7+O(q8)2q + 2q^{2} + 4q^{3} + 2q^{4} + 4q^{7} + O(q^{8})
425.2.a.g44qโˆ’2q2โˆ’4q3+4q4โˆ’10q7+O(q8)4q - 2q^{2} - 4q^{3} + 4q^{4} - 10q^{7} + O(q^{8})
425.2.a.h44q+2q2+4q3+4q4+10q7+O(q8)4q + 2q^{2} + 4q^{3} + 4q^{4} + 10q^{7} + O(q^{8})
425.2.a.i55qโˆ’q2+q3+11q4+3q6+q7+O(q8)5q - q^{2} + q^{3} + 11q^{4} + 3q^{6} + q^{7} + O(q^{8})
425.2.a.j55q+q2โˆ’q3+11q4+3q6โˆ’q7+O(q8)5q + q^{2} - q^{3} + 11q^{4} + 3q^{6} - q^{7} + O(q^{8})
426.2.a.a1qโˆ’q2โˆ’q3+q4โˆ’2q5+q6+2q7+O(q8)q - q^{2} - q^{3} + q^{4} - 2q^{5} + q^{6} + 2q^{7} + O(q^{8})โˆ’1-1426b1 rank 1
426.2.a.b1qโˆ’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+1426c1 rank 0
426.2.a.c1q+q2+q3+q4+q5+q6+3q7+O(q8)q + q^{2} + q^{3} + q^{4} + q^{5} + q^{6} + 3q^{7} + O(q^{8})+1+1426a1 rank 0
426.2.a.d22qโˆ’2q2โˆ’2q3+2q4+2q5+2q6โˆ’2q7+O(q8)2q - 2q^{2} - 2q^{3} + 2q^{4} + 2q^{5} + 2q^{6} - 2q^{7} + O(q^{8})+1+1
426.2.a.e22qโˆ’2q2+2q3+2q4โˆ’3q5โˆ’2q6+5q7+O(q8)2q - 2q^{2} + 2q^{3} + 2q^{4} - 3q^{5} - 2q^{6} + 5q^{7} + O(q^{8})+1+1
426.2.a.f33q+3q2โˆ’3q3+3q4+4q5โˆ’3q6+2q7+O(q8)3q + 3q^{2} - 3q^{3} + 3q^{4} + 4q^{5} - 3q^{6} + 2q^{7} + O(q^{8})+1+1
426.2.a.g33q+3q2+3q3+3q4+q5+3q6โˆ’q7+O(q8)3q + 3q^{2} + 3q^{3} + 3q^{4} + q^{5} + 3q^{6} - q^{7} + O(q^{8})+1+1
427.2.a.a1qโˆ’q2+q3โˆ’q4โˆ’q6โˆ’q7+O(q8)q - q^{2} + q^{3} - q^{4} - q^{6} - q^{7} + O(q^{8})โˆ’1-1427c1 rank 1
427.2.a.b1q+2q3โˆ’2q4+4q5+q7+O(q8)q + 2q^{3} - 2q^{4} + 4q^{5} + q^{7} + O(q^{8})+1+1427a1 rank 0
427.2.a.c1q+q2+q3โˆ’q4โˆ’4q5+q6+q7+O(q8)q + q^{2} + q^{3} - q^{4} - 4q^{5} + q^{6} + q^{7} + O(q^{8})โˆ’1-1427b1 rank 1
427.2.a.d66qโˆ’5q2โˆ’8q3+9q4โˆ’9q5+q6+6q7+O(q8)6q - 5q^{2} - 8q^{3} + 9q^{4} - 9q^{5} + q^{6} + 6q^{7} + O(q^{8})โˆ’1-1
427.2.a.e66qโˆ’5q2+9q4โˆ’5q5โˆ’3q6โˆ’6q7+O(q8)6q - 5q^{2} + 9q^{4} - 5q^{5} - 3q^{6} - 6q^{7} + O(q^{8})โˆ’1-1
427.2.a.f77q+4q2+q3+8q4+7q5+2q6+7q7+O(q8)7q + 4q^{2} + q^{3} + 8q^{4} + 7q^{5} + 2q^{6} + 7q^{7} + O(q^{8})+1+1
427.2.a.g99q+5q2โˆ’q3+13q4+9q5โˆ’4q6โˆ’9q7+O(q8)9q + 5q^{2} - q^{3} + 13q^{4} + 9q^{5} - 4q^{6} - 9q^{7} + O(q^{8})+1+1
428.2.a.a1qโˆ’q3+2q5โˆ’4q7+O(q8)q - q^{3} + 2q^{5} - 4q^{7} + O(q^{8})428b1 rank 1
428.2.a.b1q+q3+2q5+4q7+O(q8)q + q^{3} + 2q^{5} + 4q^{7} + O(q^{8})428a1 rank 0
428.2.a.c22qโˆ’3q3โˆ’q5โˆ’2q7+O(q8)2q - 3q^{3} - q^{5} - 2q^{7} + O(q^{8})
428.2.a.d55q+5q3โˆ’q5+6q7+O(q8)5q + 5q^{3} - q^{5} + 6q^{7} + O(q^{8})
429.2.a.a1qโˆ’q2โˆ’q3โˆ’q4+q6+O(q8)q - q^{2} - q^{3} - q^{4} + q^{6} + O(q^{8})โˆ’1-1429a1 rank 1
429.2.a.b1qโˆ’q2+q3โˆ’q4โˆ’2q5โˆ’q6+O(q8)q - q^{2} + q^{3} - q^{4} - 2q^{5} - q^{6} + O(q^{8})โˆ’1-1429b1 rank 1
429.2.a.c22qโˆ’2q2+2q3+2q4โˆ’4q5โˆ’2q6โˆ’4q7+O(q8)2q - 2q^{2} + 2q^{3} + 2q^{4} - 4q^{5} - 2q^{6} - 4q^{7} + O(q^{8})โˆ’1-1
429.2.a.d22qโˆ’2q3+2q4โˆ’2q5โˆ’4q7+O(q8)2q - 2q^{3} + 2q^{4} - 2q^{5} - 4q^{7} + O(q^{8})โˆ’1-1
429.2.a.e33qโˆ’q2โˆ’3q3+5q4โˆ’2q5+q6+2q7+O(q8)3q - q^{2} - 3q^{3} + 5q^{4} - 2q^{5} + q^{6} + 2q^{7} + O(q^{8})+1+1
429.2.a.f33q+q2+3q3+q4+q6โˆ’2q7+O(q8)3q + q^{2} + 3q^{3} + q^{4} + q^{6} - 2q^{7} + O(q^{8})+1+1
429.2.a.g33q+3q2+3q3+5q4+4q5+3q6โˆ’2q7+O(q8)3q + 3q^{2} + 3q^{3} + 5q^{4} + 4q^{5} + 3q^{6} - 2q^{7} + O(q^{8})+1+1
429.2.a.h44qโˆ’2q2โˆ’4q3+8q4+2q6+2q7+O(q8)4q - 2q^{2} - 4q^{3} + 8q^{4} + 2q^{6} + 2q^{7} + O(q^{8})+1+1
430.2.a.a1qโˆ’q2+q4โˆ’q5+q7+O(q8)q - q^{2} + q^{4} - q^{5} + q^{7} + O(q^{8})โˆ’1-1430a1 rank 1
430.2.a.b1qโˆ’q2+q4+q5โˆ’3q7+O(q8)q - q^{2} + q^{4} + q^{5} - 3q^{7} + O(q^{8})โˆ’1-1430b1 rank 1
430.2.a.c1q+q2โˆ’2q3+q4โˆ’q5โˆ’2q6โˆ’q7+O(q8)q + q^{2} - 2q^{3} + q^{4} - q^{5} - 2q^{6} - q^{7} + O(q^{8})โˆ’1-1430c1 rank 1
430.2.a.d1q+q2โˆ’2q3+q4+q5โˆ’2q6โˆ’5q7+O(q8)q + q^{2} - 2q^{3} + q^{4} + q^{5} - 2q^{6} - 5q^{7} + O(q^{8})โˆ’1-1430d1 rank 1
430.2.a.e22qโˆ’2q2+2q3+2q4+2q5โˆ’2q6+2q7+O(q8)2q - 2q^{2} + 2q^{3} + 2q^{4} + 2q^{5} - 2q^{6} + 2q^{7} + O(q^{8})+1+1
430.2.a.f22q+2q2+2q4โˆ’2q5+2q7+O(q8)2q + 2q^{2} + 2q^{4} - 2q^{5} + 2q^{7} + O(q^{8})+1+1
430.2.a.g22q+2q2+2q4+2q5+2q7+O(q8)2q + 2q^{2} + 2q^{4} + 2q^{5} + 2q^{7} + O(q^{8})+1+1
430.2.a.h33qโˆ’3q2โˆ’2q3+3q4โˆ’3q5+2q6โˆ’6q7+O(q8)3q - 3q^{2} - 2q^{3} + 3q^{4} - 3q^{5} + 2q^{6} - 6q^{7} + O(q^{8})+1+1
431.2.a.a1qโˆ’q2+q3โˆ’q4+q5โˆ’q6โˆ’2q7+O(q8)q - q^{2} + q^{3} - q^{4} + q^{5} - q^{6} - 2q^{7} + O(q^{8})โˆ’1-1431a1 rank 1
431.2.a.b1qโˆ’q2+3q3โˆ’q4โˆ’3q5โˆ’3q6+2q7+O(q8)q - q^{2} + 3q^{3} - q^{4} - 3q^{5} - 3q^{6} + 2q^{7} + O(q^{8})+1+1431b1 rank 0
431.2.a.c33q+q3+4q4+q5โˆ’3q6+O(q8)3q + q^{3} + 4q^{4} + q^{5} - 3q^{6} + O(q^{8})+1+1
431.2.a.d33q+q2โˆ’q3+3q4โˆ’3q5โˆ’9q6โˆ’6q7+O(q8)3q + q^{2} - q^{3} + 3q^{4} - 3q^{5} - 9q^{6} - 6q^{7} + O(q^{8})โˆ’1-1
431.2.a.e44qโˆ’q2โˆ’3q3โˆ’q4โˆ’5q5+5q6+2q7+O(q8)4q - q^{2} - 3q^{3} - q^{4} - 5q^{5} + 5q^{6} + 2q^{7} + O(q^{8})โˆ’1-1
431.2.a.f2424q+q2+q3+33q4+13q5+17q6+8q7+O(q8)24q + q^{2} + q^{3} + 33q^{4} + 13q^{5} + 17q^{6} + 8q^{7} + O(q^{8})+1+1
432.2.a.a1qโˆ’4q5+3q7+O(q8)q - 4q^{5} + 3q^{7} + O(q^{8})432h1 rank 0
432.2.a.b1qโˆ’3q5+q7+O(q8)q - 3q^{5} + q^{7} + O(q^{8})432f1 rank 1
432.2.a.c1qโˆ’q5โˆ’3q7+O(q8)q - q^{5} - 3q^{7} + O(q^{8})432d1 rank 1
432.2.a.d1qโˆ’5q7+O(q8)q - 5q^{7} + O(q^{8})Q(โˆ’3)\mathbb{Q}(\sqrt{-3})432b1 rank 1
432.2.a.e1q+q7+O(q8)q + q^{7} + O(q^{8})Q(โˆ’3)\mathbb{Q}(\sqrt{-3})432a1 rank 0
432.2.a.f1q+q5โˆ’3q7+O(q8)q + q^{5} - 3q^{7} + O(q^{8})432c1 rank 0
432.2.a.g1q+3q5+q7+O(q8)q + 3q^{5} + q^{7} + O(q^{8})432e1 rank 0
432.2.a.h1q+4q5+3q7+O(q8)q + 4q^{5} + 3q^{7} + O(q^{8})432g1 rank 0
433.2.a.a1qโˆ’q2โˆ’2q3โˆ’q4โˆ’4q5+2q6โˆ’3q7+O(q8)q - q^{2} - 2q^{3} - q^{4} - 4q^{5} + 2q^{6} - 3q^{7} + O(q^{8})+1+1433a1 rank 2
433.2.a.b33q+3q2โˆ’3q4+7q7+O(q8)3q + 3q^{2} - 3q^{4} + 7q^{7} + O(q^{8})+1+1
433.2.a.c1515qโˆ’10q2โˆ’8q3+12q4โˆ’5q5+q6โˆ’15q7+O(q8)15q - 10q^{2} - 8q^{3} + 12q^{4} - 5q^{5} + q^{6} - 15q^{7} + O(q^{8})โˆ’1-1
433.2.a.d1616q+7q2+6q3+27q4+7q5โˆ’q6+7q7+O(q8)16q + 7q^{2} + 6q^{3} + 27q^{4} + 7q^{5} - q^{6} + 7q^{7} + O(q^{8})+1+1
434.2.a.a1qโˆ’q2+q4โˆ’q7+O(q8)q - q^{2} + q^{4} - q^{7} + O(q^{8})โˆ’1-1434a1 rank 1
434.2.a.b1q+q2โˆ’3q3+q4โˆ’3q5โˆ’3q6โˆ’q7+O(q8)q + q^{2} - 3q^{3} + q^{4} - 3q^{5} - 3q^{6} - q^{7} + O(q^{8})+1+1434e1 rank 0
434.2.a.c1q+q2โˆ’2q3+q4โˆ’2q5โˆ’2q6+q7+O(q8)q + q^{2} - 2q^{3} + q^{4} - 2q^{5} - 2q^{6} + q^{7} + O(q^{8})โˆ’1-1434d1 rank 1
434.2.a.d1q+q2+q3+q4+3q5+q6+q7+O(q8)q + q^{2} + q^{3} + q^{4} + 3q^{5} + q^{6} + q^{7} + O(q^{8})+1+1434b1 rank 0
434.2.a.e1q+q2+2q3+q4+2q5+2q6โˆ’q7+O(q8)q + q^{2} + 2q^{3} + q^{4} + 2q^{5} + 2q^{6} - q^{7} + O(q^{8})+1+1434c1 rank 0
434.2.a.f22qโˆ’2q2+2q3+2q4โˆ’2q5โˆ’2q6+2q7+O(q8)2q - 2q^{2} + 2q^{3} + 2q^{4} - 2q^{5} - 2q^{6} + 2q^{7} + O(q^{8})+1+1
434.2.a.g22q+2q2+q3+2q4+3q5+q6โˆ’2q7+O(q8)2q + 2q^{2} + q^{3} + 2q^{4} + 3q^{5} + q^{6} - 2q^{7} + O(q^{8})+1+1
434.2.a.h33qโˆ’3q2โˆ’2q3+3q4โˆ’2q5+2q6โˆ’3q7+O(q8)3q - 3q^{2} - 2q^{3} + 3q^{4} - 2q^{5} + 2q^{6} - 3q^{7} + O(q^{8})+1+1

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