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7961 orbits; showing 1701โ€“1800 ยท JSON

LabelDimTrace formSignCMCurve
438.2.a.i22q+2q2โˆ’2q3+2q4โˆ’2q5โˆ’2q6+4q7+O(q8)2q + 2q^{2} - 2q^{3} + 2q^{4} - 2q^{5} - 2q^{6} + 4q^{7} + O(q^{8})+1+1
439.2.a.a22qโˆ’2q2+q3โˆ’2q4+q5โˆ’q6โˆ’4q7+O(q8)2q - 2q^{2} + q^{3} - 2q^{4} + q^{5} - q^{6} - 4q^{7} + O(q^{8})โˆ’1-1
439.2.a.b99qโˆ’q2โˆ’4q3+7q4โˆ’12q5โˆ’5q6+O(q8)9q - q^{2} - 4q^{3} + 7q^{4} - 12q^{5} - 5q^{6} + O(q^{8})โˆ’1-1
439.2.a.c2525q+4q2+3q3+28q4+15q5+O(q8)25q + 4q^{2} + 3q^{3} + 28q^{4} + 15q^{5} + O(q^{8})+1+1
440.2.a.a1qโˆ’q5โˆ’2q7+O(q8)q - q^{5} - 2q^{7} + O(q^{8})440a1 rank 1
440.2.a.b1qโˆ’q5โˆ’2q7+O(q8)q - q^{5} - 2q^{7} + O(q^{8})440b1 rank 1
440.2.a.c1q+q5+4q7+O(q8)q + q^{5} + 4q^{7} + O(q^{8})440c1 rank 0
440.2.a.d1q+3q3+q5+q7+O(q8)q + 3q^{3} + q^{5} + q^{7} + O(q^{8})440d1 rank 0
440.2.a.e22qโˆ’q3+2q5โˆ’q7+O(q8)2q - q^{3} + 2q^{5} - q^{7} + O(q^{8})
440.2.a.f22q+q3โˆ’2q5+3q7+O(q8)2q + q^{3} - 2q^{5} + 3q^{7} + O(q^{8})
440.2.a.g22q+q3โˆ’2q5+5q7+O(q8)2q + q^{3} - 2q^{5} + 5q^{7} + O(q^{8})
441.2.a.a1qโˆ’2q2+2q4โˆ’2q5+O(q8)q - 2q^{2} + 2q^{4} - 2q^{5} + O(q^{8})441f1 rank 1
441.2.a.b1qโˆ’2q2+2q4+2q5+O(q8)q - 2q^{2} + 2q^{4} + 2q^{5} + O(q^{8})441e1 rank 0
441.2.a.c1qโˆ’q2โˆ’q4+O(q8)q - q^{2} - q^{4} + O(q^{8})Q(โˆ’7)\mathbb{Q}(\sqrt{-7})441d1 rank 1
441.2.a.d1qโˆ’2q4+O(q8)q - 2q^{4} + O(q^{8})Q(โˆ’3)\mathbb{Q}(\sqrt{-3})441b1 rank 1
441.2.a.e1qโˆ’2q4+O(q8)q - 2q^{4} + O(q^{8})Q(โˆ’3)\mathbb{Q}(\sqrt{-3})441a1 rank 0
441.2.a.f1q+q2โˆ’q4โˆ’2q5+O(q8)q + q^{2} - q^{4} - 2q^{5} + O(q^{8})441c1 rank 1
441.2.a.g22q+2q4+O(q8)2q + 2q^{4} + O(q^{8})
441.2.a.h22q+10q4+O(q8)2q + 10q^{4} + O(q^{8})Q(โˆ’7)\mathbb{Q}(\sqrt{-7})
441.2.a.i22q+2q2+2q4โˆ’4q5+O(q8)2q + 2q^{2} + 2q^{4} - 4q^{5} + O(q^{8})
441.2.a.j22q+2q2+2q4+4q5+O(q8)2q + 2q^{2} + 2q^{4} + 4q^{5} + O(q^{8})
442.2.a.a1qโˆ’q2+2q3+q4+2q5โˆ’2q6+2q7+O(q8)q - q^{2} + 2q^{3} + q^{4} + 2q^{5} - 2q^{6} + 2q^{7} + O(q^{8})+1+1442c1 rank 0
442.2.a.b1q+q2+q4โˆ’4q5โˆ’2q7+O(q8)q + q^{2} + q^{4} - 4q^{5} - 2q^{7} + O(q^{8})โˆ’1-1442b1 rank 1
442.2.a.c1q+q2+q4+2q5+4q7+O(q8)q + q^{2} + q^{4} + 2q^{5} + 4q^{7} + O(q^{8})+1+1442a1 rank 0
442.2.a.d1q+q2+2q3+q4โˆ’2q5+2q6+2q7+O(q8)q + q^{2} + 2q^{3} + q^{4} - 2q^{5} + 2q^{6} + 2q^{7} + O(q^{8})+1+1442d1 rank 0
442.2.a.e1q+q2+2q3+q4+4q5+2q6โˆ’4q7+O(q8)q + q^{2} + 2q^{3} + q^{4} + 4q^{5} + 2q^{6} - 4q^{7} + O(q^{8})+1+1442e1 rank 0
442.2.a.f22qโˆ’2q2โˆ’4q3+2q4+4q6+O(q8)2q - 2q^{2} - 4q^{3} + 2q^{4} + 4q^{6} + O(q^{8})โˆ’1-1
442.2.a.g22qโˆ’2q2+2q3+2q4+4q5โˆ’2q6โˆ’2q7+O(q8)2q - 2q^{2} + 2q^{3} + 2q^{4} + 4q^{5} - 2q^{6} - 2q^{7} + O(q^{8})+1+1
442.2.a.h33qโˆ’3q2โˆ’2q3+3q4โˆ’4q5+2q6+O(q8)3q - 3q^{2} - 2q^{3} + 3q^{4} - 4q^{5} + 2q^{6} + O(q^{8})โˆ’1-1
442.2.a.i33q+3q2+2q3+3q4+4q5+2q6+O(q8)3q + 3q^{2} + 2q^{3} + 3q^{4} + 4q^{5} + 2q^{6} + O(q^{8})+1+1
443.2.a.a1qโˆ’q2โˆ’2q3โˆ’q4+2q6+q7+O(q8)q - q^{2} - 2q^{3} - q^{4} + 2q^{6} + q^{7} + O(q^{8})โˆ’1-1443b1 rank 1
443.2.a.b1q+q3โˆ’2q4โˆ’2q5+2q7+O(q8)q + q^{3} - 2q^{4} - 2q^{5} + 2q^{7} + O(q^{8})โˆ’1-1443a1 rank 1
443.2.a.c1q+q2โˆ’2q3โˆ’q4+4q5โˆ’2q6โˆ’q7+O(q8)q + q^{2} - 2q^{3} - q^{4} + 4q^{5} - 2q^{6} - q^{7} + O(q^{8})+1+1443c1 rank 0
443.2.a.d1212qโˆ’3q2โˆ’7q3+11q4โˆ’7q5โˆ’8q6โˆ’16q7+O(q8)12q - 3q^{2} - 7q^{3} + 11q^{4} - 7q^{5} - 8q^{6} - 16q^{7} + O(q^{8})โˆ’1-1
443.2.a.e2222q+q2+8q3+27q4+3q5โˆ’4q6+12q7+O(q8)22q + q^{2} + 8q^{3} + 27q^{4} + 3q^{5} - 4q^{6} + 12q^{7} + O(q^{8})+1+1
444.2.a.a1qโˆ’q3+O(q8)q - q^{3} + O(q^{8})444a1 rank 0
444.2.a.b1q+q3โˆ’2q5โˆ’4q7+O(q8)q + q^{3} - 2q^{5} - 4q^{7} + O(q^{8})444b1 rank 1
444.2.a.c22qโˆ’2q3โˆ’2q5+O(q8)2q - 2q^{3} - 2q^{5} + O(q^{8})
444.2.a.d22q+2q3+4q7+O(q8)2q + 2q^{3} + 4q^{7} + O(q^{8})
445.2.a.a22qโˆ’2q2โˆ’2q3โˆ’2q4โˆ’2q5+2q6+2q7+O(q8)2q - 2q^{2} - 2q^{3} - 2q^{4} - 2q^{5} + 2q^{6} + 2q^{7} + O(q^{8})โˆ’1-1
445.2.a.b22q+2q3+2q4+2q5+6q6โˆ’2q7+O(q8)2q + 2q^{3} + 2q^{4} + 2q^{5} + 6q^{6} - 2q^{7} + O(q^{8})+1+1
445.2.a.c22q+2q2+2q4+2q5โˆ’4q6+O(q8)2q + 2q^{2} + 2q^{4} + 2q^{5} - 4q^{6} + O(q^{8})+1+1
445.2.a.d44q+q2โˆ’2q3+3q4โˆ’4q5โˆ’6q6+2q7+O(q8)4q + q^{2} - 2q^{3} + 3q^{4} - 4q^{5} - 6q^{6} + 2q^{7} + O(q^{8})โˆ’1-1
445.2.a.e44q+q2+4q3+3q4+4q5โˆ’6q6+12q7+O(q8)4q + q^{2} + 4q^{3} + 3q^{4} + 4q^{5} - 6q^{6} + 12q^{7} + O(q^{8})+1+1
445.2.a.f77qโˆ’4q2โˆ’8q3+8q4+7q5โˆ’2q6โˆ’16q7+O(q8)7q - 4q^{2} - 8q^{3} + 8q^{4} + 7q^{5} - 2q^{6} - 16q^{7} + O(q^{8})โˆ’1-1
445.2.a.g88q+q2+6q3+7q4โˆ’8q5+6q6โˆ’6q7+O(q8)8q + q^{2} + 6q^{3} + 7q^{4} - 8q^{5} + 6q^{6} - 6q^{7} + O(q^{8})+1+1
446.2.a.a1qโˆ’q2โˆ’3q3+q4โˆ’4q5+3q6โˆ’4q7+O(q8)q - q^{2} - 3q^{3} + q^{4} - 4q^{5} + 3q^{6} - 4q^{7} + O(q^{8})+1+1446d1 rank 2
446.2.a.b1qโˆ’q2โˆ’q3+q4+q6+O(q8)q - q^{2} - q^{3} + q^{4} + q^{6} + O(q^{8})โˆ’1-1446a1 rank 1
446.2.a.c1q+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’1-1446b1 rank 1
446.2.a.d1q+q2+2q3+q4+2q6+O(q8)q + q^{2} + 2q^{3} + q^{4} + 2q^{6} + O(q^{8})+1+1446c1 rank 0
446.2.a.e77q+7q2+q3+7q4+2q5+q6+6q7+O(q8)7q + 7q^{2} + q^{3} + 7q^{4} + 2q^{5} + q^{6} + 6q^{7} + O(q^{8})+1+1
446.2.a.f88qโˆ’8q2+4q3+8q4+4q5โˆ’4q6+4q7+O(q8)8q - 8q^{2} + 4q^{3} + 8q^{4} + 4q^{5} - 4q^{6} + 4q^{7} + O(q^{8})+1+1
447.2.a.a33qโˆ’3q2+3q3+3q4โˆ’6q5โˆ’3q6โˆ’3q7+O(q8)3q - 3q^{2} + 3q^{3} + 3q^{4} - 6q^{5} - 3q^{6} - 3q^{7} + O(q^{8})โˆ’1-1
447.2.a.b33qโˆ’q2โˆ’3q3โˆ’q4+q6โˆ’3q7+O(q8)3q - q^{2} - 3q^{3} - q^{4} + q^{6} - 3q^{7} + O(q^{8})โˆ’1-1
447.2.a.c99q+4q2+9q3+10q4+8q5+4q6+q7+O(q8)9q + 4q^{2} + 9q^{3} + 10q^{4} + 8q^{5} + 4q^{6} + q^{7} + O(q^{8})+1+1
447.2.a.d1010q+3q2โˆ’10q3+13q4+4q5โˆ’3q6+9q7+O(q8)10q + 3q^{2} - 10q^{3} + 13q^{4} + 4q^{5} - 3q^{6} + 9q^{7} + O(q^{8})+1+1
448.2.a.a1qโˆ’2q3โˆ’q7+O(q8)q - 2q^{3} - q^{7} + O(q^{8})448f1 rank 0
448.2.a.b1qโˆ’2q3+q7+O(q8)q - 2q^{3} + q^{7} + O(q^{8})448g1 rank 1
448.2.a.c1qโˆ’2q3+4q5+q7+O(q8)q - 2q^{3} + 4q^{5} + q^{7} + O(q^{8})448h1 rank 0
448.2.a.d1qโˆ’2q5โˆ’q7+O(q8)q - 2q^{5} - q^{7} + O(q^{8})448a1 rank 1
448.2.a.e1qโˆ’2q5+q7+O(q8)q - 2q^{5} + q^{7} + O(q^{8})448b1 rank 1
448.2.a.f1q+2q3โˆ’q7+O(q8)q + 2q^{3} - q^{7} + O(q^{8})448d1 rank 0
448.2.a.g1q+2q3+q7+O(q8)q + 2q^{3} + q^{7} + O(q^{8})448c1 rank 0
448.2.a.h1q+2q3+4q5โˆ’q7+O(q8)q + 2q^{3} + 4q^{5} - q^{7} + O(q^{8})448e1 rank 0
448.2.a.i22qโˆ’2q3โˆ’2q5โˆ’2q7+O(q8)2q - 2q^{3} - 2q^{5} - 2q^{7} + O(q^{8})
448.2.a.j22q+2q3โˆ’2q5+2q7+O(q8)2q + 2q^{3} - 2q^{5} + 2q^{7} + O(q^{8})
449.2.a.a1414qโˆ’3q2โˆ’5q3+7q4โˆ’7q5โˆ’12q6โˆ’22q7+O(q8)14q - 3q^{2} - 5q^{3} + 7q^{4} - 7q^{5} - 12q^{6} - 22q^{7} + O(q^{8})โˆ’1-1
449.2.a.b2323q+3q3+30q4+3q5+6q6+26q7+O(q8)23q + 3q^{3} + 30q^{4} + 3q^{5} + 6q^{6} + 26q^{7} + O(q^{8})+1+1
450.2.a.a1qโˆ’q2+q4โˆ’2q7+O(q8)q - q^{2} + q^{4} - 2q^{7} + O(q^{8})450f1 rank 1
450.2.a.b1qโˆ’q2+q4โˆ’2q7+O(q8)q - q^{2} + q^{4} - 2q^{7} + O(q^{8})450c1 rank 1
450.2.a.c1qโˆ’q2+q4โˆ’2q7+O(q8)q - q^{2} + q^{4} - 2q^{7} + O(q^{8})450d1 rank 0
450.2.a.d1qโˆ’q2+q4+4q7+O(q8)q - q^{2} + q^{4} + 4q^{7} + O(q^{8})450g1 rank 0
450.2.a.e1q+q2+q4โˆ’2q7+O(q8)q + q^{2} + q^{4} - 2q^{7} + O(q^{8})450e1 rank 0
450.2.a.f1q+q2+q4+2q7+O(q8)q + q^{2} + q^{4} + 2q^{7} + O(q^{8})450a1 rank 0
450.2.a.g1q+q2+q4+2q7+O(q8)q + q^{2} + q^{4} + 2q^{7} + O(q^{8})450b1 rank 0
451.2.a.a1q+q3โˆ’2q4โˆ’3q5+4q7+O(q8)q + q^{3} - 2q^{4} - 3q^{5} + 4q^{7} + O(q^{8})โˆ’1-1451a1 rank 1
451.2.a.b55qโˆ’2q2โˆ’4q3+4q4โˆ’4q5โˆ’3q6โˆ’3q7+O(q8)5q - 2q^{2} - 4q^{3} + 4q^{4} - 4q^{5} - 3q^{6} - 3q^{7} + O(q^{8})โˆ’1-1
451.2.a.c55qโˆ’2q2โˆ’8q5+3q6โˆ’5q7+O(q8)5q - 2q^{2} - 8q^{5} + 3q^{6} - 5q^{7} + O(q^{8})โˆ’1-1
451.2.a.d1010q+4q2+8q4+6q5+5q6+7q7+O(q8)10q + 4q^{2} + 8q^{4} + 6q^{5} + 5q^{6} + 7q^{7} + O(q^{8})+1+1
451.2.a.e1212q+3q2+q3+17q4+13q5โˆ’q6โˆ’7q7+O(q8)12q + 3q^{2} + q^{3} + 17q^{4} + 13q^{5} - q^{6} - 7q^{7} + O(q^{8})+1+1
452.2.a.a33qโˆ’3q3โˆ’3q5+O(q8)3q - 3q^{3} - 3q^{5} + O(q^{8})
452.2.a.b77q+3q3+3q5+O(q8)7q + 3q^{3} + 3q^{5} + O(q^{8})
453.2.a.a22qโˆ’3q2+2q3+3q4+3q5โˆ’3q6โˆ’4q7+O(q8)2q - 3q^{2} + 2q^{3} + 3q^{4} + 3q^{5} - 3q^{6} - 4q^{7} + O(q^{8})+1+1
453.2.a.b22qโˆ’q2+2q3โˆ’q4โˆ’q5โˆ’q6โˆ’6q7+O(q8)2q - q^{2} + 2q^{3} - q^{4} - q^{5} - q^{6} - 6q^{7} + O(q^{8})โˆ’1-1
453.2.a.c22qโˆ’2q3+2q4+4q5+2q7+O(q8)2q - 2q^{3} + 2q^{4} + 4q^{5} + 2q^{7} + O(q^{8})+1+1
453.2.a.d22q+3q2โˆ’2q3+3q4โˆ’3q5โˆ’3q6+2q7+O(q8)2q + 3q^{2} - 2q^{3} + 3q^{4} - 3q^{5} - 3q^{6} + 2q^{7} + O(q^{8})+1+1
453.2.a.e33qโˆ’q2โˆ’3q3โˆ’q4โˆ’3q5+q6+2q7+O(q8)3q - q^{2} - 3q^{3} - q^{4} - 3q^{5} + q^{6} + 2q^{7} + O(q^{8})โˆ’1-1
453.2.a.f55qโˆ’3q2โˆ’5q3+11q4โˆ’4q5+3q6โˆ’6q7+O(q8)5q - 3q^{2} - 5q^{3} + 11q^{4} - 4q^{5} + 3q^{6} - 6q^{7} + O(q^{8})โˆ’1-1
453.2.a.g99q+6q2+9q3+12q4โˆ’2q5+6q6+14q7+O(q8)9q + 6q^{2} + 9q^{3} + 12q^{4} - 2q^{5} + 6q^{6} + 14q^{7} + O(q^{8})+1+1
454.2.a.a22q+2q2โˆ’3q3+2q4โˆ’2q5โˆ’3q6โˆ’5q7+O(q8)2q + 2q^{2} - 3q^{3} + 2q^{4} - 2q^{5} - 3q^{6} - 5q^{7} + O(q^{8})โˆ’1-1
454.2.a.b44qโˆ’4q2โˆ’2q3+4q4โˆ’4q5+2q6+2q7+O(q8)4q - 4q^{2} - 2q^{3} + 4q^{4} - 4q^{5} + 2q^{6} + 2q^{7} + O(q^{8})โˆ’1-1
454.2.a.c55qโˆ’5q2โˆ’q3+5q4+3q5+q6โˆ’6q7+O(q8)5q - 5q^{2} - q^{3} + 5q^{4} + 3q^{5} + q^{6} - 6q^{7} + O(q^{8})+1+1
454.2.a.d77q+7q2+4q3+7q4โˆ’q5+4q6+5q7+O(q8)7q + 7q^{2} + 4q^{3} + 7q^{4} - q^{5} + 4q^{6} + 5q^{7} + O(q^{8})+1+1
455.2.a.a1qโˆ’q2โˆ’q4+q5โˆ’q7+O(q8)q - q^{2} - q^{4} + q^{5} - q^{7} + O(q^{8})โˆ’1-1455b1 rank 1
455.2.a.b1q+q2โˆ’q4โˆ’q5โˆ’q7+O(q8)q + q^{2} - q^{4} - q^{5} - q^{7} + O(q^{8})โˆ’1-1455a1 rank 1
455.2.a.c44qโˆ’q2+3q4โˆ’4q5+6q6โˆ’4q7+O(q8)4q - q^{2} + 3q^{4} - 4q^{5} + 6q^{6} - 4q^{7} + O(q^{8})+1+1
455.2.a.d44q+3q2+4q3+3q4+4q5+2q6โˆ’4q7+O(q8)4q + 3q^{2} + 4q^{3} + 3q^{4} + 4q^{5} + 2q^{6} - 4q^{7} + O(q^{8})+1+1
455.2.a.e66q+3q2+9q4+6q5โˆ’6q6+6q7+O(q8)6q + 3q^{2} + 9q^{4} + 6q^{5} - 6q^{6} + 6q^{7} + O(q^{8})+1+1
455.2.a.f77q+16q4โˆ’7q5+2q6+7q7+O(q8)7q + 16q^{4} - 7q^{5} + 2q^{6} + 7q^{7} + O(q^{8})+1+1
456.2.a.a1qโˆ’q3+q5โˆ’3q7+O(q8)q - q^{3} + q^{5} - 3q^{7} + O(q^{8})456d1 rank 1

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