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7961 orbits; showing 1801โ€“1900 ยท JSON

LabelDimTrace formSignCMCurve
456.2.a.b1qโˆ’q3+4q5+4q7+O(q8)q - q^{3} + 4q^{5} + 4q^{7} + O(q^{8})456a1 rank 0
456.2.a.c1q+q3โˆ’3q5โˆ’3q7+O(q8)q + q^{3} - 3q^{5} - 3q^{7} + O(q^{8})456c1 rank 1
456.2.a.d1q+q3+2q5+O(q8)q + q^{3} + 2q^{5} + O(q^{8})456b1 rank 0
456.2.a.e22qโˆ’2q3โˆ’q5โˆ’3q7+O(q8)2q - 2q^{3} - q^{5} - 3q^{7} + O(q^{8})
456.2.a.f22q+2q3+q5+q7+O(q8)2q + 2q^{3} + q^{5} + q^{7} + O(q^{8})
457.2.a.a22q+q2+q3โˆ’q4โˆ’4q5โˆ’2q6โˆ’q7+O(q8)2q + q^{2} + q^{3} - q^{4} - 4q^{5} - 2q^{6} - q^{7} + O(q^{8})โˆ’1-1
457.2.a.b1515qโˆ’10q2โˆ’12q3+16q4โˆ’9q5+q6โˆ’15q7+O(q8)15q - 10q^{2} - 12q^{3} + 16q^{4} - 9q^{5} + q^{6} - 15q^{7} + O(q^{8})โˆ’1-1
457.2.a.c2020q+6q2+9q3+20q4+11q5+3q6+8q7+O(q8)20q + 6q^{2} + 9q^{3} + 20q^{4} + 11q^{5} + 3q^{6} + 8q^{7} + O(q^{8})+1+1
458.2.a.a1qโˆ’q2โˆ’3q3+q4+q5+3q6โˆ’2q7+O(q8)q - q^{2} - 3q^{3} + q^{4} + q^{5} + 3q^{6} - 2q^{7} + O(q^{8})โˆ’1-1458a1 rank 1
458.2.a.b1q+q2โˆ’q3+q4โˆ’q5โˆ’q6โˆ’4q7+O(q8)q + q^{2} - q^{3} + q^{4} - q^{5} - q^{6} - 4q^{7} + O(q^{8})โˆ’1-1458b1 rank 1
458.2.a.c22qโˆ’2q2+2q4+q5โˆ’3q7+O(q8)2q - 2q^{2} + 2q^{4} + q^{5} - 3q^{7} + O(q^{8})โˆ’1-1
458.2.a.d77qโˆ’7q2+4q3+7q4+q5โˆ’4q6+7q7+O(q8)7q - 7q^{2} + 4q^{3} + 7q^{4} + q^{5} - 4q^{6} + 7q^{7} + O(q^{8})+1+1
458.2.a.e99q+9q2+2q3+9q4+4q5+2q6+6q7+O(q8)9q + 9q^{2} + 2q^{3} + 9q^{4} + 4q^{5} + 2q^{6} + 6q^{7} + O(q^{8})+1+1
459.2.a.a1qโˆ’2q2+2q4โˆ’4q5+q7+O(q8)q - 2q^{2} + 2q^{4} - 4q^{5} + q^{7} + O(q^{8})459b1 rank 1
459.2.a.b1qโˆ’2q2+2q4+2q5+4q7+O(q8)q - 2q^{2} + 2q^{4} + 2q^{5} + 4q^{7} + O(q^{8})459g1 rank 0
459.2.a.c1qโˆ’q2โˆ’q4+q5โˆ’2q7+O(q8)q - q^{2} - q^{4} + q^{5} - 2q^{7} + O(q^{8})459h1 rank 1
459.2.a.d1qโˆ’2q4โˆ’3q5+2q7+O(q8)q - 2q^{4} - 3q^{5} + 2q^{7} + O(q^{8})459f1 rank 0
459.2.a.e1qโˆ’2q4+3q5+2q7+O(q8)q - 2q^{4} + 3q^{5} + 2q^{7} + O(q^{8})459c1 rank 0
459.2.a.f1q+q2โˆ’q4โˆ’q5โˆ’2q7+O(q8)q + q^{2} - q^{4} - q^{5} - 2q^{7} + O(q^{8})459a1 rank 1
459.2.a.g1q+2q2+2q4โˆ’2q5+4q7+O(q8)q + 2q^{2} + 2q^{4} - 2q^{5} + 4q^{7} + O(q^{8})459d1 rank 0
459.2.a.h1q+2q2+2q4+4q5+q7+O(q8)q + 2q^{2} + 2q^{4} + 4q^{5} + q^{7} + O(q^{8})459e1 rank 0
459.2.a.i22qโˆ’q2โˆ’q4+3q5โˆ’3q7+O(q8)2q - q^{2} - q^{4} + 3q^{5} - 3q^{7} + O(q^{8})
459.2.a.j22qโˆ’q2+3q4โˆ’5q5+3q7+O(q8)2q - q^{2} + 3q^{4} - 5q^{5} + 3q^{7} + O(q^{8})
459.2.a.k22q+q2โˆ’q4โˆ’3q5โˆ’3q7+O(q8)2q + q^{2} - q^{4} - 3q^{5} - 3q^{7} + O(q^{8})
459.2.a.l22q+q2+3q4+5q5+3q7+O(q8)2q + q^{2} + 3q^{4} + 5q^{5} + 3q^{7} + O(q^{8})
459.2.a.m33qโˆ’q2+9q4โˆ’3q5โˆ’4q7+O(q8)3q - q^{2} + 9q^{4} - 3q^{5} - 4q^{7} + O(q^{8})
459.2.a.n33q+q2+9q4+3q5โˆ’4q7+O(q8)3q + q^{2} + 9q^{4} + 3q^{5} - 4q^{7} + O(q^{8})
460.2.a.a1qโˆ’q3+q5โˆ’2q7+O(q8)q - q^{3} + q^{5} - 2q^{7} + O(q^{8})460d1 rank 1
460.2.a.b1qโˆ’q5โˆ’q7+O(q8)q - q^{5} - q^{7} + O(q^{8})460a1 rank 0
460.2.a.c1q+q3โˆ’q5โˆ’4q7+O(q8)q + q^{3} - q^{5} - 4q^{7} + O(q^{8})460c1 rank 1
460.2.a.d1q+3q3โˆ’q5+2q7+O(q8)q + 3q^{3} - q^{5} + 2q^{7} + O(q^{8})460b1 rank 0
460.2.a.e22q+q3+2q5+q7+O(q8)2q + q^{3} + 2q^{5} + q^{7} + O(q^{8})
461.2.a.a22qโˆ’q2โˆ’3q3โˆ’q4+4q6โˆ’2q7+O(q8)2q - q^{2} - 3q^{3} - q^{4} + 4q^{6} - 2q^{7} + O(q^{8})โˆ’1-1
461.2.a.b33qโˆ’2q2โˆ’q5โˆ’3q7+O(q8)3q - 2q^{2} - q^{5} - 3q^{7} + O(q^{8})โˆ’1-1
461.2.a.c77qโˆ’3q3+2q4โˆ’4q5โˆ’8q6โˆ’5q7+O(q8)7q - 3q^{3} + 2q^{4} - 4q^{5} - 8q^{6} - 5q^{7} + O(q^{8})โˆ’1-1
461.2.a.d2626q+3q2+8q3+39q4+q5โˆ’2q6+10q7+O(q8)26q + 3q^{2} + 8q^{3} + 39q^{4} + q^{5} - 2q^{6} + 10q^{7} + O(q^{8})+1+1
462.2.a.a1qโˆ’q2โˆ’q3+q4โˆ’2q5+q6+q7+O(q8)q - q^{2} - q^{3} + q^{4} - 2q^{5} + q^{6} + q^{7} + O(q^{8})โˆ’1-1462c1 rank 1
462.2.a.b1qโˆ’q2โˆ’q3+q4+q6โˆ’q7+O(q8)q - q^{2} - q^{3} + q^{4} + q^{6} - q^{7} + O(q^{8})โˆ’1-1462a1 rank 1
462.2.a.c1qโˆ’q2โˆ’q3+q4+2q5+q6โˆ’q7+O(q8)q - q^{2} - q^{3} + q^{4} + 2q^{5} + q^{6} - q^{7} + O(q^{8})+1+1462b1 rank 0
462.2.a.d1qโˆ’q2+q3+q4โˆ’q6โˆ’q7+O(q8)q - q^{2} + q^{3} + q^{4} - q^{6} - q^{7} + O(q^{8})+1+1462d1 rank 0
462.2.a.e1q+q2โˆ’q3+q4โˆ’4q5โˆ’q6+q7+O(q8)q + q^{2} - q^{3} + q^{4} - 4q^{5} - q^{6} + q^{7} + O(q^{8})โˆ’1-1462e1 rank 1
462.2.a.f1q+q2+q3+q4+q6+q7+O(q8)q + q^{2} + q^{3} + q^{4} + q^{6} + q^{7} + O(q^{8})+1+1462g1 rank 0
462.2.a.g1q+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+1462f1 rank 0
462.2.a.h22qโˆ’2q2+2q3+2q4โˆ’2q6+2q7+O(q8)2q - 2q^{2} + 2q^{3} + 2q^{4} - 2q^{6} + 2q^{7} + O(q^{8})+1+1
463.2.a.a1616qโˆ’9q2โˆ’6q3+15q4โˆ’16q5โˆ’6q6โˆ’10q7+O(q8)16q - 9q^{2} - 6q^{3} + 15q^{4} - 16q^{5} - 6q^{6} - 10q^{7} + O(q^{8})โˆ’1-1
463.2.a.b2222q+8q2+4q3+22q4+14q5+2q7+O(q8)22q + 8q^{2} + 4q^{3} + 22q^{4} + 14q^{5} + 2q^{7} + O(q^{8})+1+1
464.2.a.a1qโˆ’2q3โˆ’2q5โˆ’4q7+O(q8)q - 2q^{3} - 2q^{5} - 4q^{7} + O(q^{8})464e1 rank 0
464.2.a.b1qโˆ’q3+q5โˆ’2q7+O(q8)q - q^{3} + q^{5} - 2q^{7} + O(q^{8})464b1 rank 1
464.2.a.c1qโˆ’q3+3q5+4q7+O(q8)q - q^{3} + 3q^{5} + 4q^{7} + O(q^{8})464d1 rank 0
464.2.a.d1q+q3โˆ’3q5โˆ’2q7+O(q8)q + q^{3} - 3q^{5} - 2q^{7} + O(q^{8})464a1 rank 1
464.2.a.e1q+q3+q5+2q7+O(q8)q + q^{3} + q^{5} + 2q^{7} + O(q^{8})464c1 rank 0
464.2.a.f1q+3q3โˆ’3q5+2q7+O(q8)q + 3q^{3} - 3q^{5} + 2q^{7} + O(q^{8})464g1 rank 0
464.2.a.g1q+3q3+3q5โˆ’4q7+O(q8)q + 3q^{3} + 3q^{5} - 4q^{7} + O(q^{8})464f1 rank 0
464.2.a.h22qโˆ’2q3โˆ’2q5+O(q8)2q - 2q^{3} - 2q^{5} + O(q^{8})
464.2.a.i22q+2q3โˆ’2q5+8q7+O(q8)2q + 2q^{3} - 2q^{5} + 8q^{7} + O(q^{8})
464.2.a.j33qโˆ’2q3+4q5+O(q8)3q - 2q^{3} + 4q^{5} + O(q^{8})
465.2.a.a1qโˆ’q2+q3โˆ’q4+q5โˆ’q6โˆ’4q7+O(q8)q - q^{2} + q^{3} - q^{4} + q^{5} - q^{6} - 4q^{7} + O(q^{8})โˆ’1-1465b1 rank 1
465.2.a.b1q+q2โˆ’q3โˆ’q4+q5โˆ’q6โˆ’2q7+O(q8)q + q^{2} - q^{3} - q^{4} + q^{5} - q^{6} - 2q^{7} + O(q^{8})โˆ’1-1465a1 rank 1
465.2.a.c22qโˆ’2q2+2q3+2q4โˆ’2q5โˆ’2q6โˆ’4q7+O(q8)2q - 2q^{2} + 2q^{3} + 2q^{4} - 2q^{5} - 2q^{6} - 4q^{7} + O(q^{8})โˆ’1-1
465.2.a.d22qโˆ’2q3+2q4โˆ’2q5โˆ’6q7+O(q8)2q - 2q^{3} + 2q^{4} - 2q^{5} - 6q^{7} + O(q^{8})โˆ’1-1
465.2.a.e33q+q2โˆ’3q3+5q4โˆ’3q5โˆ’q6+8q7+O(q8)3q + q^{2} - 3q^{3} + 5q^{4} - 3q^{5} - q^{6} + 8q^{7} + O(q^{8})+1+1
465.2.a.f33q+q2+3q3+q4+3q5+q6+2q7+O(q8)3q + q^{2} + 3q^{3} + q^{4} + 3q^{5} + q^{6} + 2q^{7} + O(q^{8})+1+1
465.2.a.g33q+3q2+3q3+5q4โˆ’3q5+3q6+2q7+O(q8)3q + 3q^{2} + 3q^{3} + 5q^{4} - 3q^{5} + 3q^{6} + 2q^{7} + O(q^{8})+1+1
465.2.a.h44q+2q2โˆ’4q3+8q4+4q5โˆ’2q6+4q7+O(q8)4q + 2q^{2} - 4q^{3} + 8q^{4} + 4q^{5} - 2q^{6} + 4q^{7} + O(q^{8})+1+1
466.2.a.a1qโˆ’q2+2q3+q4โˆ’2q6+O(q8)q - q^{2} + 2q^{3} + q^{4} - 2q^{6} + O(q^{8})+1+1466a1 rank 0
466.2.a.b1q+q2+q3+q4+q6+2q7+O(q8)q + q^{2} + q^{3} + q^{4} + q^{6} + 2q^{7} + O(q^{8})+1+1466b1 rank 0
466.2.a.c33qโˆ’3q2โˆ’2q3+3q4+5q5+2q6+3q7+O(q8)3q - 3q^{2} - 2q^{3} + 3q^{4} + 5q^{5} + 2q^{6} + 3q^{7} + O(q^{8})+1+1
466.2.a.d33q+3q2โˆ’4q3+3q4โˆ’7q5โˆ’4q6โˆ’q7+O(q8)3q + 3q^{2} - 4q^{3} + 3q^{4} - 7q^{5} - 4q^{6} - q^{7} + O(q^{8})โˆ’1-1
466.2.a.e55qโˆ’5q2+5q4โˆ’5q5โˆ’5q7+O(q8)5q - 5q^{2} + 5q^{4} - 5q^{5} - 5q^{7} + O(q^{8})โˆ’1-1
466.2.a.f66q+6q2+q3+6q4+7q5+q6โˆ’3q7+O(q8)6q + 6q^{2} + q^{3} + 6q^{4} + 7q^{5} + q^{6} - 3q^{7} + O(q^{8})+1+1
467.2.a.a1qโˆ’3q3โˆ’2q4+2q5+q7+O(q8)q - 3q^{3} - 2q^{4} + 2q^{5} + q^{7} + O(q^{8})โˆ’1-1467a1 rank 1
467.2.a.b1212qโˆ’5q2โˆ’3q3+7q4โˆ’7q5โˆ’3q6โˆ’12q7+O(q8)12q - 5q^{2} - 3q^{3} + 7q^{4} - 7q^{5} - 3q^{6} - 12q^{7} + O(q^{8})โˆ’1-1
467.2.a.c2626q+5q2+4q3+33q4+3q5โˆ’3q6+11q7+O(q8)26q + 5q^{2} + 4q^{3} + 33q^{4} + 3q^{5} - 3q^{6} + 11q^{7} + O(q^{8})+1+1
468.2.a.a1qโˆ’4q5+4q7+O(q8)q - 4q^{5} + 4q^{7} + O(q^{8})468b1 rank 0
468.2.a.b1qโˆ’2q5โˆ’2q7+O(q8)q - 2q^{5} - 2q^{7} + O(q^{8})468c1 rank 1
468.2.a.c1q+2q7+O(q8)q + 2q^{7} + O(q^{8})468d1 rank 0
468.2.a.d1q+4q5โˆ’2q7+O(q8)q + 4q^{5} - 2q^{7} + O(q^{8})468e1 rank 0
468.2.a.e1q+4q5+4q7+O(q8)q + 4q^{5} + 4q^{7} + O(q^{8})468a1 rank 0
469.2.a.a1qโˆ’q2โˆ’3q3โˆ’q4+q5+3q6โˆ’q7+O(q8)q - q^{2} - 3q^{3} - q^{4} + q^{5} + 3q^{6} - q^{7} + O(q^{8})โˆ’1-1469b1 rank 1
469.2.a.b1q+q2+q3โˆ’q4โˆ’3q5+q6โˆ’q7+O(q8)q + q^{2} + q^{3} - q^{4} - 3q^{5} + q^{6} - q^{7} + O(q^{8})โˆ’1-1469a1 rank 1
469.2.a.c22q+q2โˆ’q3+5q4โˆ’3q5โˆ’9q6+2q7+O(q8)2q + q^{2} - q^{3} + 5q^{4} - 3q^{5} - 9q^{6} + 2q^{7} + O(q^{8})+1+1
469.2.a.d22q+2q2โˆ’q3โˆ’2q4โˆ’q5โˆ’q6+2q7+O(q8)2q + 2q^{2} - q^{3} - 2q^{4} - q^{5} - q^{6} + 2q^{7} + O(q^{8})+1+1
469.2.a.e33qโˆ’3q2โˆ’3q3+3q4+3q5โˆ’3q6+3q7+O(q8)3q - 3q^{2} - 3q^{3} + 3q^{4} + 3q^{5} - 3q^{6} + 3q^{7} + O(q^{8})โˆ’1-1
469.2.a.f33qโˆ’q2โˆ’q3+q4โˆ’9q5+5q6+3q7+O(q8)3q - q^{2} - q^{3} + q^{4} - 9q^{5} + 5q^{6} + 3q^{7} + O(q^{8})โˆ’1-1
469.2.a.g55q+2q2โˆ’2q3+4q4โˆ’4q5โˆ’14q6โˆ’5q7+O(q8)5q + 2q^{2} - 2q^{3} + 4q^{4} - 4q^{5} - 14q^{6} - 5q^{7} + O(q^{8})โˆ’1-1
469.2.a.h77q+q2+6q3+11q4+6q5+10q6+7q7+O(q8)7q + q^{2} + 6q^{3} + 11q^{4} + 6q^{5} + 10q^{6} + 7q^{7} + O(q^{8})+1+1
469.2.a.i99qโˆ’q2+8q3+9q4+8q5โˆ’9q7+O(q8)9q - q^{2} + 8q^{3} + 9q^{4} + 8q^{5} - 9q^{7} + O(q^{8})+1+1
470.2.a.a1qโˆ’q2โˆ’q3+q4+q5+q6โˆ’q7+O(q8)q - q^{2} - q^{3} + q^{4} + q^{5} + q^{6} - q^{7} + O(q^{8})โˆ’1-1470c1 rank 1
470.2.a.b1qโˆ’q2+q3+q4โˆ’q5โˆ’q6โˆ’q7+O(q8)q - q^{2} + q^{3} + q^{4} - q^{5} - q^{6} - q^{7} + O(q^{8})โˆ’1-1470a1 rank 1
470.2.a.c1qโˆ’q2+q3+q4+q5โˆ’q6โˆ’q7+O(q8)q - q^{2} + q^{3} + q^{4} + q^{5} - q^{6} - q^{7} + O(q^{8})+1+1470b1 rank 0
470.2.a.d1q+q2โˆ’3q3+q4+q5โˆ’3q6โˆ’3q7+O(q8)q + q^{2} - 3q^{3} + q^{4} + q^{5} - 3q^{6} - 3q^{7} + O(q^{8})โˆ’1-1470f1 rank 1
470.2.a.e1q+q2โˆ’q3+q4โˆ’q5โˆ’q6โˆ’3q7+O(q8)q + q^{2} - q^{3} + q^{4} - q^{5} - q^{6} - 3q^{7} + O(q^{8})โˆ’1-1470e1 rank 1
470.2.a.f1q+q2+q3+q4โˆ’q5+q6+5q7+O(q8)q + q^{2} + q^{3} + q^{4} - q^{5} + q^{6} + 5q^{7} + O(q^{8})+1+1470d1 rank 0
470.2.a.g22qโˆ’2q2+q3+2q4+2q5โˆ’q6+8q7+O(q8)2q - 2q^{2} + q^{3} + 2q^{4} + 2q^{5} - q^{6} + 8q^{7} + O(q^{8})+1+1
470.2.a.h33qโˆ’3q2+3q4โˆ’3q5+3q7+O(q8)3q - 3q^{2} + 3q^{4} - 3q^{5} + 3q^{7} + O(q^{8})+1+1
470.2.a.i33q+3q2+2q3+3q4+3q5+2q6+q7+O(q8)3q + 3q^{2} + 2q^{3} + 3q^{4} + 3q^{5} + 2q^{6} + q^{7} + O(q^{8})+1+1
470.2.a.j33q+3q2+3q3+3q4โˆ’3q5+3q6+O(q8)3q + 3q^{2} + 3q^{3} + 3q^{4} - 3q^{5} + 3q^{6} + O(q^{8})+1+1
471.2.a.a1qโˆ’q2โˆ’q3โˆ’q4โˆ’2q5+q6+3q7+O(q8)q - q^{2} - q^{3} - q^{4} - 2q^{5} + q^{6} + 3q^{7} + O(q^{8})โˆ’1-1471a1 rank 1
471.2.a.b22qโˆ’q2+2q3โˆ’q4โˆ’2q5โˆ’q6โˆ’6q7+O(q8)2q - q^{2} + 2q^{3} - q^{4} - 2q^{5} - q^{6} - 6q^{7} + O(q^{8})โˆ’1-1
471.2.a.c33qโˆ’3q3+2q4โˆ’2q5โˆ’3q7+O(q8)3q - 3q^{3} + 2q^{4} - 2q^{5} - 3q^{7} + O(q^{8})โˆ’1-1

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