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688 orbits; showing 101โ€“200 ยท JSON

LabelDimTrace formSignCMCurve
516.2.a.d1q+q3+3q5+5q7+O(q8)q + q^{3} + 3q^{5} + 5q^{7} + O(q^{8})516d1 rank 0
516.2.a.e22qโˆ’2q3โˆ’q5โˆ’q7+O(q8)2q - 2q^{3} - q^{5} - q^{7} + O(q^{8})
516.2.a.f22q+2q3+q5โˆ’q7+O(q8)2q + 2q^{3} + q^{5} - q^{7} + O(q^{8})
517.2.a.a1q+3q3โˆ’2q4+3q5โˆ’2q7+O(q8)q + 3q^{3} - 2q^{4} + 3q^{5} - 2q^{7} + O(q^{8})+1+1517b1 rank 0
517.2.a.b1q+2q2โˆ’q3+2q4โˆ’3q5โˆ’2q6โˆ’2q7+O(q8)q + 2q^{2} - q^{3} + 2q^{4} - 3q^{5} - 2q^{6} - 2q^{7} + O(q^{8})โˆ’1-1517c1 rank 1
517.2.a.c1q+2q2โˆ’q3+2q4+3q5โˆ’2q6+4q7+O(q8)q + 2q^{2} - q^{3} + 2q^{4} + 3q^{5} - 2q^{6} + 4q^{7} + O(q^{8})+1+1517a1 rank 0
517.2.a.d22qโˆ’2q2โˆ’2q3+4q4+2q6+2q7+O(q8)2q - 2q^{2} - 2q^{3} + 4q^{4} + 2q^{6} + 2q^{7} + O(q^{8})โˆ’1-1
517.2.a.e22q+6q3โˆ’2q5+O(q8)2q + 6q^{3} - 2q^{5} + O(q^{8})+1+1
517.2.a.f22q+2q2+2q4+4q6โˆ’6q7+O(q8)2q + 2q^{2} + 2q^{4} + 4q^{6} - 6q^{7} + O(q^{8})+1+1
517.2.a.g22q+2q2+4q3+2q4โˆ’4q5+8q6โˆ’2q7+O(q8)2q + 2q^{2} + 4q^{3} + 2q^{4} - 4q^{5} + 8q^{6} - 2q^{7} + O(q^{8})+1+1
517.2.a.h33qโˆ’3q2โˆ’4q3โˆ’3q4โˆ’2q5+4q6โˆ’q7+O(q8)3q - 3q^{2} - 4q^{3} - 3q^{4} - 2q^{5} + 4q^{6} - q^{7} + O(q^{8})โˆ’1-1
517.2.a.i33q+q2+5q4+2q5+6q6+5q7+O(q8)3q + q^{2} + 5q^{4} + 2q^{5} + 6q^{6} + 5q^{7} + O(q^{8})+1+1
517.2.a.j1010qโˆ’6q2โˆ’7q3+10q4โˆ’3q5+2q6โˆ’9q7+O(q8)10q - 6q^{2} - 7q^{3} + 10q^{4} - 3q^{5} + 2q^{6} - 9q^{7} + O(q^{8})โˆ’1-1
517.2.a.k1010q+3q2+2q3+15q4+4q5โˆ’10q6+7q7+O(q8)10q + 3q^{2} + 2q^{3} + 15q^{4} + 4q^{5} - 10q^{6} + 7q^{7} + O(q^{8})+1+1
518.2.a.a22qโˆ’2q2+2q4โˆ’2q7+O(q8)2q - 2q^{2} + 2q^{4} - 2q^{7} + O(q^{8})+1+1
518.2.a.b22q+2q2โˆ’3q3+2q4โˆ’3q5โˆ’3q6โˆ’2q7+O(q8)2q + 2q^{2} - 3q^{3} + 2q^{4} - 3q^{5} - 3q^{6} - 2q^{7} + O(q^{8})โˆ’1-1
518.2.a.c22q+2q2+2q3+2q4+2q6โˆ’2q7+O(q8)2q + 2q^{2} + 2q^{3} + 2q^{4} + 2q^{6} - 2q^{7} + O(q^{8})+1+1
518.2.a.d33qโˆ’3q2โˆ’q3+3q4โˆ’3q5+q6โˆ’3q7+O(q8)3q - 3q^{2} - q^{3} + 3q^{4} - 3q^{5} + q^{6} - 3q^{7} + O(q^{8})โˆ’1-1
518.2.a.e33qโˆ’3q2+q3+3q4+3q5โˆ’q6+3q7+O(q8)3q - 3q^{2} + q^{3} + 3q^{4} + 3q^{5} - q^{6} + 3q^{7} + O(q^{8})+1+1
518.2.a.f55q+5q2+q3+5q4โˆ’3q5+q6+5q7+O(q8)5q + 5q^{2} + q^{3} + 5q^{4} - 3q^{5} + q^{6} + 5q^{7} + O(q^{8})+1+1
519.2.a.a33qโˆ’2q2+3q3โˆ’5q5โˆ’2q6โˆ’q7+O(q8)3q - 2q^{2} + 3q^{3} - 5q^{5} - 2q^{6} - q^{7} + O(q^{8})โˆ’1-1
519.2.a.b33qโˆ’3q3โˆ’3q5โˆ’3q7+O(q8)3q - 3q^{3} - 3q^{5} - 3q^{7} + O(q^{8})โˆ’1-1
519.2.a.c1111q+3q2+11q3+11q4+9q5+3q6โˆ’3q7+O(q8)11q + 3q^{2} + 11q^{3} + 11q^{4} + 9q^{5} + 3q^{6} - 3q^{7} + O(q^{8})+1+1
519.2.a.d1212qโˆ’2q2โˆ’12q3+18q4+q5+2q6+3q7+O(q8)12q - 2q^{2} - 12q^{3} + 18q^{4} + q^{5} + 2q^{6} + 3q^{7} + O(q^{8})+1+1
520.2.a.a1qโˆ’q5+O(q8)q - q^{5} + O(q^{8})520a1 rank 1
520.2.a.b1q+2q3+q5+O(q8)q + 2q^{3} + q^{5} + O(q^{8})520b1 rank 0
520.2.a.c22qโˆ’4q3+2q5โˆ’4q7+O(q8)2q - 4q^{3} + 2q^{5} - 4q^{7} + O(q^{8})
520.2.a.d22qโˆ’2q3โˆ’2q5+O(q8)2q - 2q^{3} - 2q^{5} + O(q^{8})
520.2.a.e22qโˆ’2q3โˆ’2q5+O(q8)2q - 2q^{3} - 2q^{5} + O(q^{8})
520.2.a.f22q+2q5+4q7+O(q8)2q + 2q^{5} + 4q^{7} + O(q^{8})
520.2.a.g22q+2q3โˆ’2q5+O(q8)2q + 2q^{3} - 2q^{5} + O(q^{8})
521.2.a.a1414qโˆ’2q2โˆ’5q3+2q4โˆ’3q5โˆ’7q6โˆ’20q7+O(q8)14q - 2q^{2} - 5q^{3} + 2q^{4} - 3q^{5} - 7q^{6} - 20q^{7} + O(q^{8})โˆ’1-1
521.2.a.b2929q+q2+3q3+43q4โˆ’q5+7q6+26q7+O(q8)29q + q^{2} + 3q^{3} + 43q^{4} - q^{5} + 7q^{6} + 26q^{7} + O(q^{8})+1+1
522.2.a.a1qโˆ’q2+q4โˆ’3q5โˆ’q7+O(q8)q - q^{2} + q^{4} - 3q^{5} - q^{7} + O(q^{8})522c1 rank 0
522.2.a.b1qโˆ’q2+q4โˆ’q5โˆ’2q7+O(q8)q - q^{2} + q^{4} - q^{5} - 2q^{7} + O(q^{8})522f1 rank 1
522.2.a.c1qโˆ’q2+q4โˆ’q5+q7+O(q8)q - q^{2} + q^{4} - q^{5} + q^{7} + O(q^{8})522e1 rank 1
522.2.a.d1qโˆ’q2+q4+q5+q7+O(q8)q - q^{2} + q^{4} + q^{5} + q^{7} + O(q^{8})522d1 rank 0
522.2.a.e1qโˆ’q2+q4+2q5+4q7+O(q8)q - q^{2} + q^{4} + 2q^{5} + 4q^{7} + O(q^{8})522b1 rank 0
522.2.a.f1qโˆ’q2+q4+3q5โˆ’5q7+O(q8)q - q^{2} + q^{4} + 3q^{5} - 5q^{7} + O(q^{8})522a1 rank 1
522.2.a.g1q+q2+q4โˆ’3q5โˆ’5q7+O(q8)q + q^{2} + q^{4} - 3q^{5} - 5q^{7} + O(q^{8})522i1 rank 1
522.2.a.h1q+q2+q4โˆ’3q5โˆ’3q7+O(q8)q + q^{2} + q^{4} - 3q^{5} - 3q^{7} + O(q^{8})522j1 rank 1
522.2.a.i1q+q2+q4โˆ’2q5+O(q8)q + q^{2} + q^{4} - 2q^{5} + O(q^{8})522k1 rank 0
522.2.a.j1q+q2+q4โˆ’2q5+4q7+O(q8)q + q^{2} + q^{4} - 2q^{5} + 4q^{7} + O(q^{8})522g1 rank 0
522.2.a.k1q+q2+q4+3q5โˆ’2q7+O(q8)q + q^{2} + q^{4} + 3q^{5} - 2q^{7} + O(q^{8})522l1 rank 0
522.2.a.l1q+q2+q4+3q5โˆ’q7+O(q8)q + q^{2} + q^{4} + 3q^{5} - q^{7} + O(q^{8})522h1 rank 0
522.2.a.m1q+q2+q4+3q5+5q7+O(q8)q + q^{2} + q^{4} + 3q^{5} + 5q^{7} + O(q^{8})522m1 rank 0
523.2.a.a22qโˆ’3q2โˆ’3q3+3q4+7q6โˆ’2q7+O(q8)2q - 3q^{2} - 3q^{3} + 3q^{4} + 7q^{6} - 2q^{7} + O(q^{8})โˆ’1-1
523.2.a.b1515qโˆ’6q2โˆ’3q3+10q4โˆ’19q5โˆ’7q6โˆ’q7+O(q8)15q - 6q^{2} - 3q^{3} + 10q^{4} - 19q^{5} - 7q^{6} - q^{7} + O(q^{8})โˆ’1-1
523.2.a.c2626q+9q2+4q3+31q4+21q5+3q7+O(q8)26q + 9q^{2} + 4q^{3} + 31q^{4} + 21q^{5} + 3q^{7} + O(q^{8})+1+1
524.2.a.a1q+q3โˆ’2q5โˆ’3q7+O(q8)q + q^{3} - 2q^{5} - 3q^{7} + O(q^{8})524a1 rank 1
524.2.a.b22qโˆ’3q3+q5โˆ’q7+O(q8)2q - 3q^{3} + q^{5} - q^{7} + O(q^{8})
524.2.a.c44q+q3โˆ’3q5โˆ’q7+O(q8)4q + q^{3} - 3q^{5} - q^{7} + O(q^{8})
524.2.a.d44q+3q3+2q5+7q7+O(q8)4q + 3q^{3} + 2q^{5} + 7q^{7} + O(q^{8})
525.2.a.a1qโˆ’q2โˆ’q3โˆ’q4+q6โˆ’q7+O(q8)q - q^{2} - q^{3} - q^{4} + q^{6} - q^{7} + O(q^{8})525a1 rank 1
525.2.a.b1qโˆ’q2+q3โˆ’q4โˆ’q6โˆ’q7+O(q8)q - q^{2} + q^{3} - q^{4} - q^{6} - q^{7} + O(q^{8})525d1 rank 1
525.2.a.c1q+q2โˆ’q3โˆ’q4โˆ’q6+q7+O(q8)q + q^{2} - q^{3} - q^{4} - q^{6} + q^{7} + O(q^{8})525c1 rank 1
525.2.a.d1q+q2โˆ’q3โˆ’q4โˆ’q6+q7+O(q8)q + q^{2} - q^{3} - q^{4} - q^{6} + q^{7} + O(q^{8})525b1 rank 0
525.2.a.e22qโˆ’3q2โˆ’2q3+3q4+3q6+2q7+O(q8)2q - 3q^{2} - 2q^{3} + 3q^{4} + 3q^{6} + 2q^{7} + O(q^{8})
525.2.a.f22qโˆ’q2โˆ’2q3+3q4+q6โˆ’2q7+O(q8)2q - q^{2} - 2q^{3} + 3q^{4} + q^{6} - 2q^{7} + O(q^{8})
525.2.a.g22q+2q3+6q4โˆ’2q7+O(q8)2q + 2q^{3} + 6q^{4} - 2q^{7} + O(q^{8})
525.2.a.h22q+q2+2q3+3q4+q6+2q7+O(q8)2q + q^{2} + 2q^{3} + 3q^{4} + q^{6} + 2q^{7} + O(q^{8})
525.2.a.i22q+3q2+2q3+3q4+3q6โˆ’2q7+O(q8)2q + 3q^{2} + 2q^{3} + 3q^{4} + 3q^{6} - 2q^{7} + O(q^{8})
525.2.a.j33qโˆ’q2+3q3+5q4โˆ’q6+3q7+O(q8)3q - q^{2} + 3q^{3} + 5q^{4} - q^{6} + 3q^{7} + O(q^{8})
525.2.a.k33q+q2โˆ’3q3+5q4โˆ’q6โˆ’3q7+O(q8)3q + q^{2} - 3q^{3} + 5q^{4} - q^{6} - 3q^{7} + O(q^{8})
526.2.a.a22qโˆ’2q2+2q4+6q5+4q7+O(q8)2q - 2q^{2} + 2q^{4} + 6q^{5} + 4q^{7} + O(q^{8})+1+1
526.2.a.b44qโˆ’4q2+q3+4q4โˆ’5q5โˆ’q6โˆ’q7+O(q8)4q - 4q^{2} + q^{3} + 4q^{4} - 5q^{5} - q^{6} - q^{7} + O(q^{8})โˆ’1-1
526.2.a.c44q+4q2โˆ’5q3+4q4โˆ’7q5โˆ’5q6โˆ’5q7+O(q8)4q + 4q^{2} - 5q^{3} + 4q^{4} - 7q^{5} - 5q^{6} - 5q^{7} + O(q^{8})โˆ’1-1
526.2.a.d55qโˆ’5q2โˆ’3q3+5q4+q5+3q6โˆ’7q7+O(q8)5q - 5q^{2} - 3q^{3} + 5q^{4} + q^{5} + 3q^{6} - 7q^{7} + O(q^{8})+1+1
526.2.a.e66q+6q2+3q3+6q4+5q5+3q6+5q7+O(q8)6q + 6q^{2} + 3q^{3} + 6q^{4} + 5q^{5} + 3q^{6} + 5q^{7} + O(q^{8})+1+1
527.2.a.a22q+q2โˆ’q4+5q6+2q7+O(q8)2q + q^{2} - q^{4} + 5q^{6} + 2q^{7} + O(q^{8})+1+1
527.2.a.b55qโˆ’2q2โˆ’3q3+4q4โˆ’2q5+4q6โˆ’4q7+O(q8)5q - 2q^{2} - 3q^{3} + 4q^{4} - 2q^{5} + 4q^{6} - 4q^{7} + O(q^{8})โˆ’1-1
527.2.a.c77qโˆ’q2โˆ’3q3+3q4โˆ’6q5โˆ’6q6โˆ’10q7+O(q8)7q - q^{2} - 3q^{3} + 3q^{4} - 6q^{5} - 6q^{6} - 10q^{7} + O(q^{8})โˆ’1-1
527.2.a.d1111qโˆ’2q2+7q3+16q4+6q5โˆ’q6+8q7+O(q8)11q - 2q^{2} + 7q^{3} + 16q^{4} + 6q^{5} - q^{6} + 8q^{7} + O(q^{8})+1+1
527.2.a.e1616q+3q2+3q3+21q4+4q5+2q6+8q7+O(q8)16q + 3q^{2} + 3q^{3} + 21q^{4} + 4q^{5} + 2q^{6} + 8q^{7} + O(q^{8})+1+1
528.2.a.a1qโˆ’q3โˆ’4q5+2q7+O(q8)q - q^{3} - 4q^{5} + 2q^{7} + O(q^{8})528f1 rank 0
528.2.a.b1qโˆ’q3โˆ’2q5โˆ’4q7+O(q8)q - q^{3} - 2q^{5} - 4q^{7} + O(q^{8})528b1 rank 0
528.2.a.c1qโˆ’q3โˆ’2q7+O(q8)q - q^{3} - 2q^{7} + O(q^{8})528a1 rank 1
528.2.a.d1qโˆ’q3โˆ’2q7+O(q8)q - q^{3} - 2q^{7} + O(q^{8})528g1 rank 1
528.2.a.e1qโˆ’q3+2q5+2q7+O(q8)q - q^{3} + 2q^{5} + 2q^{7} + O(q^{8})528e1 rank 0
528.2.a.f1qโˆ’q3+4q5+2q7+O(q8)q - q^{3} + 4q^{5} + 2q^{7} + O(q^{8})528c1 rank 0
528.2.a.g1q+q3โˆ’2q5โˆ’4q7+O(q8)q + q^{3} - 2q^{5} - 4q^{7} + O(q^{8})528h1 rank 1
528.2.a.h1q+q3+2q5โˆ’2q7+O(q8)q + q^{3} + 2q^{5} - 2q^{7} + O(q^{8})528i1 rank 0
528.2.a.i1q+q3+2q5+O(q8)q + q^{3} + 2q^{5} + O(q^{8})528d1 rank 0
528.2.a.j1q+q3+2q5+4q7+O(q8)q + q^{3} + 2q^{5} + 4q^{7} + O(q^{8})528j1 rank 0
529.2.a.a22qโˆ’q2โˆ’q4+2q5โˆ’5q6โˆ’2q7+O(q8)2q - q^{2} - q^{4} + 2q^{5} - 5q^{6} - 2q^{7} + O(q^{8})
529.2.a.b22q+2q3+2q4+6q6โˆ’6q7+O(q8)2q + 2q^{3} + 2q^{4} + 6q^{6} - 6q^{7} + O(q^{8})
529.2.a.c22q+2q3+2q4+6q6+6q7+O(q8)2q + 2q^{3} + 2q^{4} + 6q^{6} + 6q^{7} + O(q^{8})
529.2.a.d22q+2q2+2q4โˆ’2q5+4q6โˆ’4q7+O(q8)2q + 2q^{2} + 2q^{4} - 2q^{5} + 4q^{6} - 4q^{7} + O(q^{8})
529.2.a.e22q+2q2+2q4+2q5+4q6+4q7+O(q8)2q + 2q^{2} + 2q^{4} + 2q^{5} + 4q^{6} + 4q^{7} + O(q^{8})
529.2.a.f33q+6q4+3q6+O(q8)3q + 6q^{4} + 3q^{6} + O(q^{8})Q(โˆ’23)\mathbb{Q}(\sqrt{-23})
529.2.a.g44qโˆ’4q2โˆ’4q3โˆ’4q4+4q6+O(q8)4q - 4q^{2} - 4q^{3} - 4q^{4} + 4q^{6} + O(q^{8})
529.2.a.h44qโˆ’2q2โˆ’4q3+6q4+2q6+O(q8)4q - 2q^{2} - 4q^{3} + 6q^{4} + 2q^{6} + O(q^{8})
529.2.a.i55q+2q2+2q3+4q4โˆ’7q5โˆ’8q6โˆ’8q7+O(q8)5q + 2q^{2} + 2q^{3} + 4q^{4} - 7q^{5} - 8q^{6} - 8q^{7} + O(q^{8})
529.2.a.j55q+2q2+2q3+4q4+7q5โˆ’8q6+8q7+O(q8)5q + 2q^{2} + 2q^{3} + 4q^{4} + 7q^{5} - 8q^{6} + 8q^{7} + O(q^{8})
530.2.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’1-1530c1 rank 1
530.2.a.b1qโˆ’q2+q4+q5โˆ’2q7+O(q8)q - q^{2} + q^{4} + q^{5} - 2q^{7} + O(q^{8})โˆ’1-1530b1 rank 1
530.2.a.c1qโˆ’q2+q3+q4โˆ’q5โˆ’q6+2q7+O(q8)q - q^{2} + q^{3} + q^{4} - q^{5} - q^{6} + 2q^{7} + O(q^{8})+1+1530a1 rank 0
530.2.a.d1q+q2โˆ’q3+q4โˆ’q5โˆ’q6โˆ’2q7+O(q8)q + q^{2} - q^{3} + q^{4} - q^{5} - q^{6} - 2q^{7} + O(q^{8})โˆ’1-1530d1 rank 1
530.2.a.e33qโˆ’3q2โˆ’q3+3q4โˆ’3q5+q6+3q7+O(q8)3q - 3q^{2} - q^{3} + 3q^{4} - 3q^{5} + q^{6} + 3q^{7} + O(q^{8})+1+1
530.2.a.f33qโˆ’3q2+3q3+3q4+3q5โˆ’3q6+5q7+O(q8)3q - 3q^{2} + 3q^{3} + 3q^{4} + 3q^{5} - 3q^{6} + 5q^{7} + O(q^{8})+1+1

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