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5951 orbits; showing 701โ€“800 ยท JSON

LabelDimTrace formSignCMCurve
253.2.a.d66q+3q2+7q3+5q4+3q5+3q6โˆ’q7+O(q8)6q + 3q^{2} + 7q^{3} + 5q^{4} + 3q^{5} + 3q^{6} - q^{7} + O(q^{8})+1+1
254.2.a.a1qโˆ’q2+q4โˆ’q5โˆ’3q7+O(q8)q - q^{2} + q^{4} - q^{5} - 3q^{7} + O(q^{8})โˆ’1-1254c1 rank 1
254.2.a.b1q+q2โˆ’2q3+q4โˆ’3q5โˆ’2q6โˆ’q7+O(q8)q + q^{2} - 2q^{3} + q^{4} - 3q^{5} - 2q^{6} - q^{7} + O(q^{8})โˆ’1-1254a1 rank 1
254.2.a.c1q+q2โˆ’2q3+q4โˆ’2q6+4q7+O(q8)q + q^{2} - 2q^{3} + q^{4} - 2q^{6} + 4q^{7} + O(q^{8})+1+1254b1 rank 0
254.2.a.d1q+q2+q4+2q5+O(q8)q + q^{2} + q^{4} + 2q^{5} + O(q^{8})+1+1254d1 rank 0
254.2.a.e22q+2q2+4q3+2q4โˆ’q5+4q6+q7+O(q8)2q + 2q^{2} + 4q^{3} + 2q^{4} - q^{5} + 4q^{6} + q^{7} + O(q^{8})+1+1
254.2.a.f55qโˆ’5q2โˆ’2q3+5q4โˆ’q5+2q6+3q7+O(q8)5q - 5q^{2} - 2q^{3} + 5q^{4} - q^{5} + 2q^{6} + 3q^{7} + O(q^{8})+1+1
255.2.a.a22q+q2โˆ’2q3+3q4โˆ’2q5โˆ’q6+O(q8)2q + q^{2} - 2q^{3} + 3q^{4} - 2q^{5} - q^{6} + O(q^{8})+1+1
255.2.a.b22q+3q2โˆ’2q3+3q4+2q5โˆ’3q6+O(q8)2q + 3q^{2} - 2q^{3} + 3q^{4} + 2q^{5} - 3q^{6} + O(q^{8})+1+1
255.2.a.c33q+3q3+2q4+3q5+4q7+O(q8)3q + 3q^{3} + 2q^{4} + 3q^{5} + 4q^{7} + O(q^{8})+1+1
255.2.a.d44q+q2+4q3+9q4โˆ’4q5+q6+4q7+O(q8)4q + q^{2} + 4q^{3} + 9q^{4} - 4q^{5} + q^{6} + 4q^{7} + O(q^{8})+1+1
256.2.a.a1qโˆ’2q3+O(q8)q - 2q^{3} + O(q^{8})Q(โˆ’8)\mathbb{Q}(\sqrt{-8})256a1 rank 1
256.2.a.b1qโˆ’4q5+O(q8)q - 4q^{5} + O(q^{8})Q(โˆ’4)\mathbb{Q}(\sqrt{-4})256b1 rank 1
256.2.a.c1q+4q5+O(q8)q + 4q^{5} + O(q^{8})Q(โˆ’4)\mathbb{Q}(\sqrt{-4})256c1 rank 0
256.2.a.d1q+2q3+O(q8)q + 2q^{3} + O(q^{8})Q(โˆ’8)\mathbb{Q}(\sqrt{-8})256d1 rank 0
256.2.a.e22q+O(q8)2q + O(q^{8})Q(โˆ’8)\mathbb{Q}(\sqrt{-8})
257.2.a.a77qโˆ’3q2โˆ’5q3+q4โˆ’q5โˆ’2q6โˆ’18q7+O(q8)7q - 3q^{2} - 5q^{3} + q^{4} - q^{5} - 2q^{6} - 18q^{7} + O(q^{8})โˆ’1-1
257.2.a.b1414q+2q2+3q3+18q4โˆ’q5โˆ’4q6+24q7+O(q8)14q + 2q^{2} + 3q^{3} + 18q^{4} - q^{5} - 4q^{6} + 24q^{7} + O(q^{8})+1+1
258.2.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})+1+1258b1 rank 0
258.2.a.b1qโˆ’q2โˆ’q3+q4+q5+q6โˆ’5q7+O(q8)q - q^{2} - q^{3} + q^{4} + q^{5} + q^{6} - 5q^{7} + O(q^{8})โˆ’1-1258a1 rank 1
258.2.a.c1qโˆ’q2+q3+q4โˆ’3q5โˆ’q6โˆ’3q7+O(q8)q - q^{2} + q^{3} + q^{4} - 3q^{5} - q^{6} - 3q^{7} + O(q^{8})โˆ’1-1258c1 rank 1
258.2.a.d1q+q2โˆ’q3+q4โˆ’2q5โˆ’q6+4q7+O(q8)q + q^{2} - q^{3} + q^{4} - 2q^{5} - q^{6} + 4q^{7} + O(q^{8})+1+1258d1 rank 0
258.2.a.e1q+q2โˆ’q3+q4+3q5โˆ’q6โˆ’q7+O(q8)q + q^{2} - q^{3} + q^{4} + 3q^{5} - q^{6} - q^{7} + O(q^{8})+1+1258e1 rank 0
258.2.a.f1q+q2+q3+q4โˆ’q5+q6+q7+O(q8)q + q^{2} + q^{3} + q^{4} - q^{5} + q^{6} + q^{7} + O(q^{8})+1+1258f1 rank 0
258.2.a.g1q+q2+q3+q4+2q5+q6โˆ’2q7+O(q8)q + q^{2} + q^{3} + q^{4} + 2q^{5} + q^{6} - 2q^{7} + O(q^{8})+1+1258g1 rank 0
259.2.a.a1q+q2โˆ’q4+4q5+q7+O(q8)q + q^{2} - q^{4} + 4q^{5} + q^{7} + O(q^{8})+1+1259a1 rank 0
259.2.a.b22qโˆ’4q4+6q5โˆ’2q7+O(q8)2q - 4q^{4} + 6q^{5} - 2q^{7} + O(q^{8})+1+1
259.2.a.c22q+q2+5q4+q5+2q7+O(q8)2q + q^{2} + 5q^{4} + q^{5} + 2q^{7} + O(q^{8})+1+1
259.2.a.d33qโˆ’3q2+3q4โˆ’6q5โˆ’3q6+3q7+O(q8)3q - 3q^{2} + 3q^{4} - 6q^{5} - 3q^{6} + 3q^{7} + O(q^{8})โˆ’1-1
259.2.a.e33q+q2โˆ’2q3โˆ’q4โˆ’6q5โˆ’3q6โˆ’3q7+O(q8)3q + q^{2} - 2q^{3} - q^{4} - 6q^{5} - 3q^{6} - 3q^{7} + O(q^{8})โˆ’1-1
259.2.a.f44q+2q3+10q4+6q5+3q6โˆ’4q7+O(q8)4q + 2q^{3} + 10q^{4} + 6q^{5} + 3q^{6} - 4q^{7} + O(q^{8})+1+1
259.2.a.g44q+q2+5q4+q5โˆ’9q6+4q7+O(q8)4q + q^{2} + 5q^{4} + q^{5} - 9q^{6} + 4q^{7} + O(q^{8})+1+1
260.2.a.a1q+2q3โˆ’q5+2q7+O(q8)q + 2q^{3} - q^{5} + 2q^{7} + O(q^{8})260a1 rank 0
260.2.a.b33q+2q3+3q5โˆ’2q7+O(q8)3q + 2q^{3} + 3q^{5} - 2q^{7} + O(q^{8})
261.2.a.a22qโˆ’q2โˆ’q4โˆ’4q5+O(q8)2q - q^{2} - q^{4} - 4q^{5} + O(q^{8})
261.2.a.b22qโˆ’q2โˆ’q4โˆ’2q5โˆ’4q7+O(q8)2q - q^{2} - q^{4} - 2q^{5} - 4q^{7} + O(q^{8})
261.2.a.c22q+q2โˆ’q4+4q5+O(q8)2q + q^{2} - q^{4} + 4q^{5} + O(q^{8})
261.2.a.d22q+2q2+2q4+2q5+O(q8)2q + 2q^{2} + 2q^{4} + 2q^{5} + O(q^{8})
261.2.a.e33qโˆ’2q2+6q4+4q7+O(q8)3q - 2q^{2} + 6q^{4} + 4q^{7} + O(q^{8})
262.2.a.a1qโˆ’q2+q4โˆ’5q7+O(q8)q - q^{2} + q^{4} - 5q^{7} + O(q^{8})โˆ’1-1262b1 rank 1
262.2.a.b1q+q2โˆ’2q3+q4โˆ’2q5โˆ’2q6โˆ’3q7+O(q8)q + q^{2} - 2q^{3} + q^{4} - 2q^{5} - 2q^{6} - 3q^{7} + O(q^{8})โˆ’1-1262a1 rank 1
262.2.a.c22qโˆ’2q2โˆ’q3+2q4โˆ’5q5+q6+3q7+O(q8)2q - 2q^{2} - q^{3} + 2q^{4} - 5q^{5} + q^{6} + 3q^{7} + O(q^{8})โˆ’1-1
262.2.a.d22qโˆ’2q2+2q4+4q5+2q7+O(q8)2q - 2q^{2} + 2q^{4} + 4q^{5} + 2q^{7} + O(q^{8})+1+1
262.2.a.e22q+2q2โˆ’2q3+2q4+2q5โˆ’2q6+4q7+O(q8)2q + 2q^{2} - 2q^{3} + 2q^{4} + 2q^{5} - 2q^{6} + 4q^{7} + O(q^{8})+1+1
262.2.a.f22q+2q2+3q3+2q4โˆ’q5+3q6โˆ’q7+O(q8)2q + 2q^{2} + 3q^{3} + 2q^{4} - q^{5} + 3q^{6} - q^{7} + O(q^{8})+1+1
263.2.a.a55qโˆ’2q2โˆ’5q3โˆ’3q5+q6โˆ’5q7+O(q8)5q - 2q^{2} - 5q^{3} - 3q^{5} + q^{6} - 5q^{7} + O(q^{8})โˆ’1-1
263.2.a.b1717q+q2+7q3+19q4+3q5โˆ’3q6+7q7+O(q8)17q + q^{2} + 7q^{3} + 19q^{4} + 3q^{5} - 3q^{6} + 7q^{7} + O(q^{8})+1+1
264.2.a.a1qโˆ’q3+2q5+O(q8)q - q^{3} + 2q^{5} + O(q^{8})264b1 rank 0
264.2.a.b1q+q3โˆ’2q5+4q7+O(q8)q + q^{3} - 2q^{5} + 4q^{7} + O(q^{8})264c1 rank 0
264.2.a.c1q+q3+2q7+O(q8)q + q^{3} + 2q^{7} + O(q^{8})264a1 rank 0
264.2.a.d1q+q3+4q5โˆ’2q7+O(q8)q + q^{3} + 4q^{5} - 2q^{7} + O(q^{8})264d1 rank 0
265.2.a.a1qโˆ’q2โˆ’q4โˆ’q5+2q7+O(q8)q - q^{2} - q^{4} - q^{5} + 2q^{7} + O(q^{8})โˆ’1-1265a1 rank 1
265.2.a.b22qโˆ’2q2โˆ’2q3+2q4โˆ’2q5+6q6โˆ’4q7+O(q8)2q - 2q^{2} - 2q^{3} + 2q^{4} - 2q^{5} + 6q^{6} - 4q^{7} + O(q^{8})โˆ’1-1
265.2.a.c22qโˆ’q2โˆ’q3โˆ’q4+2q5โˆ’2q6โˆ’4q7+O(q8)2q - q^{2} - q^{3} - q^{4} + 2q^{5} - 2q^{6} - 4q^{7} + O(q^{8})โˆ’1-1
265.2.a.d22qโˆ’q2โˆ’q3+7q4โˆ’2q5โˆ’10q6โˆ’6q7+O(q8)2q - q^{2} - q^{3} + 7q^{4} - 2q^{5} - 10q^{6} - 6q^{7} + O(q^{8})โˆ’1-1
265.2.a.e22qโˆ’q2+q3+3q4+2q5+6q6โˆ’2q7+O(q8)2q - q^{2} + q^{3} + 3q^{4} + 2q^{5} + 6q^{6} - 2q^{7} + O(q^{8})+1+1
265.2.a.f22q+4q3+2q4โˆ’2q5+2q7+O(q8)2q + 4q^{3} + 2q^{4} - 2q^{5} + 2q^{7} + O(q^{8})+1+1
265.2.a.g22q+3q2โˆ’3q3+3q4โˆ’2q5โˆ’2q6+4q7+O(q8)2q + 3q^{2} - 3q^{3} + 3q^{4} - 2q^{5} - 2q^{6} + 4q^{7} + O(q^{8})+1+1
265.2.a.h44q+4q2โˆ’2q3+4q4+4q5โˆ’6q6+4q7+O(q8)4q + 4q^{2} - 2q^{3} + 4q^{4} + 4q^{5} - 6q^{6} + 4q^{7} + O(q^{8})+1+1
266.2.a.a22qโˆ’2q2+q3+2q4โˆ’q5โˆ’q6โˆ’2q7+O(q8)2q - 2q^{2} + q^{3} + 2q^{4} - q^{5} - q^{6} - 2q^{7} + O(q^{8})+1+1
266.2.a.b22qโˆ’2q2+3q3+2q4+q5โˆ’3q6+2q7+O(q8)2q - 2q^{2} + 3q^{3} + 2q^{4} + q^{5} - 3q^{6} + 2q^{7} + O(q^{8})+1+1
266.2.a.c22q+2q2+q3+2q4+q5+q6+2q7+O(q8)2q + 2q^{2} + q^{3} + 2q^{4} + q^{5} + q^{6} + 2q^{7} + O(q^{8})+1+1
266.2.a.d33q+3q2โˆ’q3+3q4+5q5โˆ’q6โˆ’3q7+O(q8)3q + 3q^{2} - q^{3} + 3q^{4} + 5q^{5} - q^{6} - 3q^{7} + O(q^{8})+1+1
267.2.a.a1qโˆ’q3โˆ’2q4+4q5โˆ’2q7+O(q8)q - q^{3} - 2q^{4} + 4q^{5} - 2q^{7} + O(q^{8})+1+1267b1 rank 0
267.2.a.b1q+q3โˆ’2q4+2q7+O(q8)q + q^{3} - 2q^{4} + 2q^{7} + O(q^{8})+1+1267a1 rank 0
267.2.a.c33qโˆ’4q2+3q3+4q4โˆ’7q5โˆ’4q6โˆ’4q7+O(q8)3q - 4q^{2} + 3q^{3} + 4q^{4} - 7q^{5} - 4q^{6} - 4q^{7} + O(q^{8})โˆ’1-1
267.2.a.d33qโˆ’3q3โˆ’3q5โˆ’6q7+O(q8)3q - 3q^{3} - 3q^{5} - 6q^{7} + O(q^{8})โˆ’1-1
267.2.a.e33q+2q2+3q3+4q4+5q5+2q6โˆ’4q7+O(q8)3q + 2q^{2} + 3q^{3} + 4q^{4} + 5q^{5} + 2q^{6} - 4q^{7} + O(q^{8})+1+1
267.2.a.f44q+q2โˆ’4q3+7q4+3q5โˆ’q6+6q7+O(q8)4q + q^{2} - 4q^{3} + 7q^{4} + 3q^{5} - q^{6} + 6q^{7} + O(q^{8})+1+1
268.2.a.a1q+2q3+2q5+2q7+O(q8)q + 2q^{3} + 2q^{5} + 2q^{7} + O(q^{8})268a1 rank 0
268.2.a.b22qโˆ’3q3โˆ’5q7+O(q8)2q - 3q^{3} - 5q^{7} + O(q^{8})
268.2.a.c22q+q3โˆ’2q5+q7+O(q8)2q + q^{3} - 2q^{5} + q^{7} + O(q^{8})
269.2.a.a1qโˆ’2q4+q5โˆ’4q7+O(q8)q - 2q^{4} + q^{5} - 4q^{7} + O(q^{8})โˆ’1-1269a1 rank 1
269.2.a.b55qโˆ’q2โˆ’5q3+q4โˆ’4q5โˆ’4q6โˆ’5q7+O(q8)5q - q^{2} - 5q^{3} + q^{4} - 4q^{5} - 4q^{6} - 5q^{7} + O(q^{8})โˆ’1-1
269.2.a.c1616q+q2+5q3+25q4โˆ’q5โˆ’2q6+11q7+O(q8)16q + q^{2} + 5q^{3} + 25q^{4} - q^{5} - 2q^{6} + 11q^{7} + O(q^{8})+1+1
270.2.a.a1qโˆ’q2+q4โˆ’q5+2q7+O(q8)q - q^{2} + q^{4} - q^{5} + 2q^{7} + O(q^{8})270a1 rank 0
270.2.a.b1qโˆ’q2+q4+q5+2q7+O(q8)q - q^{2} + q^{4} + q^{5} + 2q^{7} + O(q^{8})270d1 rank 0
270.2.a.c1q+q2+q4โˆ’q5+2q7+O(q8)q + q^{2} + q^{4} - q^{5} + 2q^{7} + O(q^{8})270b1 rank 0
270.2.a.d1q+q2+q4+q5+2q7+O(q8)q + q^{2} + q^{4} + q^{5} + 2q^{7} + O(q^{8})270c1 rank 0
271.2.a.a66qโˆ’4q2โˆ’q3+2q4โˆ’8q5โˆ’2q6โˆ’3q7+O(q8)6q - 4q^{2} - q^{3} + 2q^{4} - 8q^{5} - 2q^{6} - 3q^{7} + O(q^{8})โˆ’1-1
271.2.a.b1616q+5q2+q3+17q4+10q5โˆ’4q6โˆ’3q7+O(q8)16q + 5q^{2} + q^{3} + 17q^{4} + 10q^{5} - 4q^{6} - 3q^{7} + O(q^{8})+1+1
272.2.a.a1qโˆ’2q3+O(q8)q - 2q^{3} + O(q^{8})272a1 rank 1
272.2.a.b1qโˆ’2q5โˆ’4q7+O(q8)q - 2q^{5} - 4q^{7} + O(q^{8})272b1 rank 1
272.2.a.c1q+2q3โˆ’2q5+2q7+O(q8)q + 2q^{3} - 2q^{5} + 2q^{7} + O(q^{8})272c1 rank 0
272.2.a.d1q+2q3+4q7+O(q8)q + 2q^{3} + 4q^{7} + O(q^{8})272d1 rank 0
272.2.a.e22qโˆ’2q3+2q7+O(q8)2q - 2q^{3} + 2q^{7} + O(q^{8})
272.2.a.f22q+2q3+4q5โˆ’2q7+O(q8)2q + 2q^{3} + 4q^{5} - 2q^{7} + O(q^{8})
273.2.a.a1qโˆ’2q2โˆ’q3+2q4โˆ’q5+2q6+q7+O(q8)q - 2q^{2} - q^{3} + 2q^{4} - q^{5} + 2q^{6} + q^{7} + O(q^{8})โˆ’1-1273a1 rank 1
273.2.a.b1q+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+1273b1 rank 0
273.2.a.c22q+2q2โˆ’2q3+2q4โˆ’2q6+2q7+O(q8)2q + 2q^{2} - 2q^{3} + 2q^{4} - 2q^{6} + 2q^{7} + O(q^{8})+1+1
273.2.a.d33qโˆ’2q2โˆ’3q3+4q4โˆ’3q5+2q6โˆ’3q7+O(q8)3q - 2q^{2} - 3q^{3} + 4q^{4} - 3q^{5} + 2q^{6} - 3q^{7} + O(q^{8})โˆ’1-1
273.2.a.e44q+q2+4q3+7q4โˆ’3q5+q6+4q7+O(q8)4q + q^{2} + 4q^{3} + 7q^{4} - 3q^{5} + q^{6} + 4q^{7} + O(q^{8})+1+1
274.2.a.a1qโˆ’q2+q4โˆ’3q5+2q7+O(q8)q - q^{2} + q^{4} - 3q^{5} + 2q^{7} + O(q^{8})โˆ’1-1274b1 rank 1
274.2.a.b1qโˆ’q2+q4โˆ’4q7+O(q8)q - q^{2} + q^{4} - 4q^{7} + O(q^{8})โˆ’1-1274c1 rank 1
274.2.a.c1q+q2โˆ’2q3+q4โˆ’3q5โˆ’2q6+O(q8)q + q^{2} - 2q^{3} + q^{4} - 3q^{5} - 2q^{6} + O(q^{8})โˆ’1-1274a1 rank 1
274.2.a.d33qโˆ’3q2+2q3+3q4+5q5โˆ’2q6+2q7+O(q8)3q - 3q^{2} + 2q^{3} + 3q^{4} + 5q^{5} - 2q^{6} + 2q^{7} + O(q^{8})+1+1
274.2.a.e55q+5q2+2q3+5q4+5q5+2q6โˆ’4q7+O(q8)5q + 5q^{2} + 2q^{3} + 5q^{4} + 5q^{5} + 2q^{6} - 4q^{7} + O(q^{8})+1+1
275.2.a.a1qโˆ’q2โˆ’q4+O(q8)q - q^{2} - q^{4} + O(q^{8})275a1 rank 1
275.2.a.b1q+2q2+q3+2q4+2q6+2q7+O(q8)q + 2q^{2} + q^{3} + 2q^{4} + 2q^{6} + 2q^{7} + O(q^{8})275b1 rank 0
275.2.a.c22qโˆ’2q2+2q4โˆ’8q6+4q7+O(q8)2q - 2q^{2} + 2q^{4} - 8q^{6} + 4q^{7} + O(q^{8})

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