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5951 orbits; showing 1201โ€“1300 ยท JSON

LabelDimTrace formSignCMCurve
354.2.a.c1qโˆ’q2+q3+q4โˆ’q6โˆ’q7+O(q8)q - q^{2} + q^{3} + q^{4} - q^{6} - q^{7} + O(q^{8})+1+1354b1 rank 0
354.2.a.d1q+q2โˆ’q3+q4โˆ’4q5โˆ’q6โˆ’q7+O(q8)q + q^{2} - q^{3} + q^{4} - 4q^{5} - q^{6} - q^{7} + O(q^{8})โˆ’1-1354f1 rank 1
354.2.a.e1q+q2โˆ’q3+q4โˆ’q6+O(q8)q + q^{2} - q^{3} + q^{4} - q^{6} + O(q^{8})+1+1354a1 rank 0
354.2.a.f1q+q2โˆ’q3+q4+4q5โˆ’q6+O(q8)q + q^{2} - q^{3} + q^{4} + 4q^{5} - q^{6} + O(q^{8})+1+1354e1 rank 0
354.2.a.g22qโˆ’2q2+2q3+2q4+2q5โˆ’2q6+8q7+O(q8)2q - 2q^{2} + 2q^{3} + 2q^{4} + 2q^{5} - 2q^{6} + 8q^{7} + O(q^{8})+1+1
354.2.a.h33q+3q2+3q3+3q4+2q5+3q6โˆ’q7+O(q8)3q + 3q^{2} + 3q^{3} + 3q^{4} + 2q^{5} + 3q^{6} - q^{7} + O(q^{8})+1+1
355.2.a.a1qโˆ’2q3โˆ’2q4+q5โˆ’q7+O(q8)q - 2q^{3} - 2q^{4} + q^{5} - q^{7} + O(q^{8})+1+1355a1 rank 0
355.2.a.b44qโˆ’4q2โˆ’3q3+4q4+4q5โˆ’q6โˆ’5q7+O(q8)4q - 4q^{2} - 3q^{3} + 4q^{4} + 4q^{5} - q^{6} - 5q^{7} + O(q^{8})โˆ’1-1
355.2.a.c44qโˆ’2q2โˆ’q3โˆ’4q5โˆ’q6+q7+O(q8)4q - 2q^{2} - q^{3} - 4q^{5} - q^{6} + q^{7} + O(q^{8})โˆ’1-1
355.2.a.d66q+3q2+3q3+9q4+6q5โˆ’5q6+6q7+O(q8)6q + 3q^{2} + 3q^{3} + 9q^{4} + 6q^{5} - 5q^{6} + 6q^{7} + O(q^{8})+1+1
355.2.a.e88q+4q2โˆ’q3+10q4โˆ’8q5+7q6โˆ’5q7+O(q8)8q + 4q^{2} - q^{3} + 10q^{4} - 8q^{5} + 7q^{6} - 5q^{7} + O(q^{8})+1+1
356.2.a.a1qโˆ’q3โˆ’q5+O(q8)q - q^{3} - q^{5} + O(q^{8})356a1 rank 1
356.2.a.b77q+q3+3q5+O(q8)7q + q^{3} + 3q^{5} + O(q^{8})
357.2.a.a1qโˆ’2q2+q3+2q4โˆ’3q5โˆ’2q6+q7+O(q8)q - 2q^{2} + q^{3} + 2q^{4} - 3q^{5} - 2q^{6} + q^{7} + O(q^{8})โˆ’1-1357d1 rank 1
357.2.a.b1qโˆ’q3โˆ’2q4+q5โˆ’q7+O(q8)q - q^{3} - 2q^{4} + q^{5} - q^{7} + O(q^{8})+1+1357a1 rank 0
357.2.a.c1qโˆ’q3โˆ’2q4+q5+q7+O(q8)q - q^{3} - 2q^{4} + q^{5} + q^{7} + O(q^{8})โˆ’1-1357b1 rank 1
357.2.a.d1q+2q2+q3+2q4+q5+2q6โˆ’q7+O(q8)q + 2q^{2} + q^{3} + 2q^{4} + q^{5} + 2q^{6} - q^{7} + O(q^{8})+1+1357c1 rank 0
357.2.a.e22qโˆ’2q2+2q3+4q4โˆ’4q5โˆ’2q6โˆ’2q7+O(q8)2q - 2q^{2} + 2q^{3} + 4q^{4} - 4q^{5} - 2q^{6} - 2q^{7} + O(q^{8})โˆ’1-1
357.2.a.f22qโˆ’2q3โˆ’2q5โˆ’2q7+O(q8)2q - 2q^{3} - 2q^{5} - 2q^{7} + O(q^{8})โˆ’1-1
357.2.a.g33q+q2+3q3+3q4+2q5+q6+3q7+O(q8)3q + q^{2} + 3q^{3} + 3q^{4} + 2q^{5} + q^{6} + 3q^{7} + O(q^{8})+1+1
357.2.a.h44q+2q2โˆ’4q3+6q4โˆ’2q5โˆ’2q6+4q7+O(q8)4q + 2q^{2} - 4q^{3} + 6q^{4} - 2q^{5} - 2q^{6} + 4q^{7} + O(q^{8})+1+1
358.2.a.a1qโˆ’q2+2q3+q4โˆ’2q6โˆ’2q7+O(q8)q - q^{2} + 2q^{3} + q^{4} - 2q^{6} - 2q^{7} + O(q^{8})+1+1358a1 rank 0
358.2.a.b1q+q2โˆ’2q3+q4โˆ’2q6+2q7+O(q8)q + q^{2} - 2q^{3} + q^{4} - 2q^{6} + 2q^{7} + O(q^{8})+1+1358b1 rank 0
358.2.a.c22qโˆ’2q2+q3+2q4+6q5โˆ’q6+2q7+O(q8)2q - 2q^{2} + q^{3} + 2q^{4} + 6q^{5} - q^{6} + 2q^{7} + O(q^{8})+1+1
358.2.a.d22q+2q2โˆ’3q3+2q4โˆ’4q5โˆ’3q6โˆ’6q7+O(q8)2q + 2q^{2} - 3q^{3} + 2q^{4} - 4q^{5} - 3q^{6} - 6q^{7} + O(q^{8})โˆ’1-1
358.2.a.e22q+2q2+3q3+2q4+q5+3q6+4q7+O(q8)2q + 2q^{2} + 3q^{3} + 2q^{4} + q^{5} + 3q^{6} + 4q^{7} + O(q^{8})+1+1
358.2.a.f22q+2q2+3q3+2q4+2q5+3q6โˆ’4q7+O(q8)2q + 2q^{2} + 3q^{3} + 2q^{4} + 2q^{5} + 3q^{6} - 4q^{7} + O(q^{8})+1+1
358.2.a.g44qโˆ’4q2โˆ’2q3+4q4โˆ’7q5+2q6+O(q8)4q - 4q^{2} - 2q^{3} + 4q^{4} - 7q^{5} + 2q^{6} + O(q^{8})โˆ’1-1
359.2.a.a1qโˆ’q2โˆ’q4+q5โˆ’q7+O(q8)q - q^{2} - q^{4} + q^{5} - q^{7} + O(q^{8})โˆ’1-1359b1 rank 1
359.2.a.b1q+q2โˆ’2q3โˆ’q4+q5โˆ’2q6+q7+O(q8)q + q^{2} - 2q^{3} - q^{4} + q^{5} - 2q^{6} + q^{7} + O(q^{8})โˆ’1-1359a1 rank 1
359.2.a.c44qโˆ’2q2โˆ’q3+2q4โˆ’6q5+q6โˆ’3q7+O(q8)4q - 2q^{2} - q^{3} + 2q^{4} - 6q^{5} + q^{6} - 3q^{7} + O(q^{8})โˆ’1-1
359.2.a.d2424q+q2+5q3+31q4+6q5+7q6+5q7+O(q8)24q + q^{2} + 5q^{3} + 31q^{4} + 6q^{5} + 7q^{6} + 5q^{7} + O(q^{8})+1+1
360.2.a.a1qโˆ’q5โˆ’4q7+O(q8)q - q^{5} - 4q^{7} + O(q^{8})360e1 rank 1
360.2.a.b1qโˆ’q5+O(q8)q - q^{5} + O(q^{8})360a1 rank 0
360.2.a.c1qโˆ’q5+2q7+O(q8)q - q^{5} + 2q^{7} + O(q^{8})360b1 rank 0
360.2.a.d1q+q5+2q7+O(q8)q + q^{5} + 2q^{7} + O(q^{8})360c1 rank 0
360.2.a.e1q+q5+4q7+O(q8)q + q^{5} + 4q^{7} + O(q^{8})360d1 rank 0
361.2.a.a1qโˆ’2q4โˆ’q5+3q7+O(q8)q - 2q^{4} - q^{5} + 3q^{7} + O(q^{8})Q(โˆ’19)\mathbb{Q}(\sqrt{-19})361a1 rank 1
361.2.a.b1q+2q3โˆ’2q4+3q5โˆ’q7+O(q8)q + 2q^{3} - 2q^{4} + 3q^{5} - q^{7} + O(q^{8})361b1 rank 0
361.2.a.c22qโˆ’q2โˆ’3q3โˆ’q4+2q5โˆ’q6+6q7+O(q8)2q - q^{2} - 3q^{3} - q^{4} + 2q^{5} - q^{6} + 6q^{7} + O(q^{8})
361.2.a.d22qโˆ’4q3+6q4+q5โˆ’2q7+O(q8)2q - 4q^{3} + 6q^{4} + q^{5} - 2q^{7} + O(q^{8})
361.2.a.e22q+4q3+6q4+q5โˆ’2q7+O(q8)2q + 4q^{3} + 6q^{4} + q^{5} - 2q^{7} + O(q^{8})
361.2.a.f22q+q2+3q3โˆ’q4+2q5โˆ’q6+6q7+O(q8)2q + q^{2} + 3q^{3} - q^{4} + 2q^{5} - q^{6} + 6q^{7} + O(q^{8})
361.2.a.g33qโˆ’3q2โˆ’3q3+3q4โˆ’3q5+6q6+O(q8)3q - 3q^{2} - 3q^{3} + 3q^{4} - 3q^{5} + 6q^{6} + O(q^{8})
361.2.a.h33q+3q2+3q3+3q4โˆ’3q5+6q6+O(q8)3q + 3q^{2} + 3q^{3} + 3q^{4} - 3q^{5} + 6q^{6} + O(q^{8})
361.2.a.i44q+2q4โˆ’4q5โˆ’10q6โˆ’8q7+O(q8)4q + 2q^{4} - 4q^{5} - 10q^{6} - 8q^{7} + O(q^{8})
362.2.a.a1qโˆ’q2โˆ’q3+q4+2q5+q6โˆ’4q7+O(q8)q - q^{2} - q^{3} + q^{4} + 2q^{5} + q^{6} - 4q^{7} + O(q^{8})โˆ’1-1362a1 rank 1
362.2.a.b1q+q2โˆ’q3+q4โˆ’2q5โˆ’q6โˆ’4q7+O(q8)q + q^{2} - q^{3} + q^{4} - 2q^{5} - q^{6} - 4q^{7} + O(q^{8})โˆ’1-1362b1 rank 1
362.2.a.c22qโˆ’2q2โˆ’2q3+2q4โˆ’q5+2q6โˆ’3q7+O(q8)2q - 2q^{2} - 2q^{3} + 2q^{4} - q^{5} + 2q^{6} - 3q^{7} + O(q^{8})โˆ’1-1
362.2.a.d22q+2q2+2q3+2q4+4q5+2q6+O(q8)2q + 2q^{2} + 2q^{3} + 2q^{4} + 4q^{5} + 2q^{6} + O(q^{8})+1+1
362.2.a.e55qโˆ’5q2+4q3+5q4โˆ’4q6+5q7+O(q8)5q - 5q^{2} + 4q^{3} + 5q^{4} - 4q^{6} + 5q^{7} + O(q^{8})+1+1
362.2.a.f55q+5q2+5q4โˆ’q5+6q7+O(q8)5q + 5q^{2} + 5q^{4} - q^{5} + 6q^{7} + O(q^{8})+1+1
363.2.a.a1qโˆ’2q2โˆ’q3+2q4+4q5+2q6+q7+O(q8)q - 2q^{2} - q^{3} + 2q^{4} + 4q^{5} + 2q^{6} + q^{7} + O(q^{8})363c1 rank 0
363.2.a.b1qโˆ’q2โˆ’q3โˆ’q4โˆ’2q5+q6โˆ’4q7+O(q8)q - q^{2} - q^{3} - q^{4} - 2q^{5} + q^{6} - 4q^{7} + O(q^{8})363a1 rank 0
363.2.a.c1q+2q2โˆ’q3+2q4+4q5โˆ’2q6โˆ’q7+O(q8)q + 2q^{2} - q^{3} + 2q^{4} + 4q^{5} - 2q^{6} - q^{7} + O(q^{8})363b1 rank 0
363.2.a.d22qโˆ’3q2โˆ’2q3+3q4+q5+3q6โˆ’2q7+O(q8)2q - 3q^{2} - 2q^{3} + 3q^{4} + q^{5} + 3q^{6} - 2q^{7} + O(q^{8})
363.2.a.e22qโˆ’q2+2q3โˆ’q4โˆ’3q5โˆ’q6โˆ’6q7+O(q8)2q - q^{2} + 2q^{3} - q^{4} - 3q^{5} - q^{6} - 6q^{7} + O(q^{8})
363.2.a.f22qโˆ’2q3+2q4โˆ’6q5+O(q8)2q - 2q^{3} + 2q^{4} - 6q^{5} + O(q^{8})
363.2.a.g22q+2q3+6q4+4q5+O(q8)2q + 2q^{3} + 6q^{4} + 4q^{5} + O(q^{8})
363.2.a.h22q+q2+2q3โˆ’q4โˆ’3q5+q6+6q7+O(q8)2q + q^{2} + 2q^{3} - q^{4} - 3q^{5} + q^{6} + 6q^{7} + O(q^{8})
363.2.a.i22q+3q2โˆ’2q3+3q4+q5โˆ’3q6+2q7+O(q8)2q + 3q^{2} - 2q^{3} + 3q^{4} + q^{5} - 3q^{6} + 2q^{7} + O(q^{8})
363.2.a.j44q+4q3+6q4+2q5+O(q8)4q + 4q^{3} + 6q^{4} + 2q^{5} + O(q^{8})
364.2.a.a1qโˆ’2q3+q5โˆ’q7+O(q8)q - 2q^{3} + q^{5} - q^{7} + O(q^{8})364b1 rank 1
364.2.a.b1qโˆ’3q5+q7+O(q8)q - 3q^{5} + q^{7} + O(q^{8})364a1 rank 1
364.2.a.c22qโˆ’2q5โˆ’2q7+O(q8)2q - 2q^{5} - 2q^{7} + O(q^{8})
364.2.a.d22q+2q3+2q7+O(q8)2q + 2q^{3} + 2q^{7} + O(q^{8})
365.2.a.a22q+4q3+2q4+2q5+6q7+O(q8)2q + 4q^{3} + 2q^{4} + 2q^{5} + 6q^{7} + O(q^{8})+1+1
365.2.a.b33qโˆ’q2โˆ’4q3โˆ’q4+3q5โˆ’q6โˆ’q7+O(q8)3q - q^{2} - 4q^{3} - q^{4} + 3q^{5} - q^{6} - q^{7} + O(q^{8})โˆ’1-1
365.2.a.c55qโˆ’q2โˆ’6q3+q4โˆ’5q5+3q6โˆ’5q7+O(q8)5q - q^{2} - 6q^{3} + q^{4} - 5q^{5} + 3q^{6} - 5q^{7} + O(q^{8})โˆ’1-1
365.2.a.d77qโˆ’q2+2q3+11q4+7q5โˆ’3q6โˆ’3q7+O(q8)7q - q^{2} + 2q^{3} + 11q^{4} + 7q^{5} - 3q^{6} - 3q^{7} + O(q^{8})+1+1
365.2.a.e88q+2q2+8q3+10q4โˆ’8q5+5q6+7q7+O(q8)8q + 2q^{2} + 8q^{3} + 10q^{4} - 8q^{5} + 5q^{6} + 7q^{7} + O(q^{8})+1+1
366.2.a.a1qโˆ’q2โˆ’q3+q4โˆ’2q5+q6+4q7+O(q8)q - q^{2} - q^{3} + q^{4} - 2q^{5} + q^{6} + 4q^{7} + O(q^{8})+1+1366e1 rank 0
366.2.a.b1qโˆ’q2+q3+q4โˆ’3q5โˆ’q6โˆ’q7+O(q8)q - q^{2} + q^{3} + q^{4} - 3q^{5} - q^{6} - q^{7} + O(q^{8})โˆ’1-1366f1 rank 1
366.2.a.c1qโˆ’q2+q3+q4+q5โˆ’q6โˆ’2q7+O(q8)q - q^{2} + q^{3} + q^{4} + q^{5} - q^{6} - 2q^{7} + O(q^{8})+1+1366c1 rank 0
366.2.a.d1q+q2โˆ’q3+q4โˆ’3q5โˆ’q6โˆ’3q7+O(q8)q + q^{2} - q^{3} + q^{4} - 3q^{5} - q^{6} - 3q^{7} + O(q^{8})โˆ’1-1366g1 rank 1
366.2.a.e1q+q2โˆ’q3+q4โˆ’q5โˆ’q6+2q7+O(q8)q + q^{2} - q^{3} + q^{4} - q^{5} - q^{6} + 2q^{7} + O(q^{8})+1+1366d1 rank 0
366.2.a.f1q+q2+q3+q4+q5+q6โˆ’2q7+O(q8)q + q^{2} + q^{3} + q^{4} + q^{5} + q^{6} - 2q^{7} + O(q^{8})+1+1366b1 rank 0
366.2.a.g1q+q2+q3+q4+q5+q6+q7+O(q8)q + q^{2} + q^{3} + q^{4} + q^{5} + q^{6} + q^{7} + O(q^{8})+1+1366a1 rank 0
366.2.a.h22qโˆ’2q2โˆ’2q3+2q4+2q6โˆ’3q7+O(q8)2q - 2q^{2} - 2q^{3} + 2q^{4} + 2q^{6} - 3q^{7} + O(q^{8})+1+1
367.2.a.a1111qโˆ’8q2โˆ’6q3+10q4โˆ’8q5+q6โˆ’7q7+O(q8)11q - 8q^{2} - 6q^{3} + 10q^{4} - 8q^{5} + q^{6} - 7q^{7} + O(q^{8})โˆ’1-1
367.2.a.b1919q+9q2+4q3+21q4+6q5โˆ’q6+q7+O(q8)19q + 9q^{2} + 4q^{3} + 21q^{4} + 6q^{5} - q^{6} + q^{7} + O(q^{8})+1+1
368.2.a.a1qโˆ’3q3+2q7+O(q8)q - 3q^{3} + 2q^{7} + O(q^{8})368g1 rank 1
368.2.a.b1qโˆ’q3โˆ’2q7+O(q8)q - q^{3} - 2q^{7} + O(q^{8})368e1 rank 1
368.2.a.c1qโˆ’4q7+O(q8)q - 4q^{7} + O(q^{8})368a1 rank 1
368.2.a.d1q+4q5+4q7+O(q8)q + 4q^{5} + 4q^{7} + O(q^{8})368b1 rank 0
368.2.a.e1q+q3โˆ’4q5โˆ’2q7+O(q8)q + q^{3} - 4q^{5} - 2q^{7} + O(q^{8})368d1 rank 1
368.2.a.f1q+q3โˆ’2q5+4q7+O(q8)q + q^{3} - 2q^{5} + 4q^{7} + O(q^{8})368c1 rank 0
368.2.a.g1q+3q3โˆ’2q5+4q7+O(q8)q + 3q^{3} - 2q^{5} + 4q^{7} + O(q^{8})368f1 rank 0
368.2.a.h22qโˆ’2q5โˆ’2q7+O(q8)2q - 2q^{5} - 2q^{7} + O(q^{8})
368.2.a.i22q+q3+4q5+O(q8)2q + q^{3} + 4q^{5} + O(q^{8})
369.2.a.a1qโˆ’2q4+2q5โˆ’4q7+O(q8)q - 2q^{4} + 2q^{5} - 4q^{7} + O(q^{8})369a1 rank 1
369.2.a.b1q+2q2+2q4+4q5โˆ’2q7+O(q8)q + 2q^{2} + 2q^{4} + 4q^{5} - 2q^{7} + O(q^{8})369b1 rank 0
369.2.a.c22qโˆ’4q5โˆ’4q7+O(q8)2q - 4q^{5} - 4q^{7} + O(q^{8})
369.2.a.d33qโˆ’2q2+2q4โˆ’4q5+O(q8)3q - 2q^{2} + 2q^{4} - 4q^{5} + O(q^{8})
369.2.a.e33qโˆ’q2+3q4โˆ’4q5+2q7+O(q8)3q - q^{2} + 3q^{4} - 4q^{5} + 2q^{7} + O(q^{8})
369.2.a.f33q+q2+5q4+2q5+6q7+O(q8)3q + q^{2} + 5q^{4} + 2q^{5} + 6q^{7} + O(q^{8})
369.2.a.g33q+2q2+2q4+4q5+O(q8)3q + 2q^{2} + 2q^{4} + 4q^{5} + O(q^{8})
370.2.a.a1qโˆ’q2โˆ’2q3+q4โˆ’q5+2q6โˆ’q7+O(q8)q - q^{2} - 2q^{3} + q^{4} - q^{5} + 2q^{6} - q^{7} + O(q^{8})+1+1370c1 rank 0
370.2.a.b1qโˆ’q2+q4โˆ’q5+O(q8)q - q^{2} + q^{4} - q^{5} + O(q^{8})โˆ’1-1370a1 rank 1
370.2.a.c1qโˆ’q2+2q3+q4+q5โˆ’2q6+q7+O(q8)q - q^{2} + 2q^{3} + q^{4} + q^{5} - 2q^{6} + q^{7} + O(q^{8})+1+1370b1 rank 0

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