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452 orbits; showing 101โ€“200 ยท JSON

LabelDimTrace formSignCMCurve
222.2.a.e1q+q2+q3+q4+q6โˆ’q7+O(q8)q + q^{2} + q^{3} + q^{4} + q^{6} - q^{7} + O(q^{8})+1+1222a1 rank 0
223.2.a.a22qโˆ’2q2โˆ’2q3+2q4โˆ’4q5+6q6+O(q8)2q - 2q^{2} - 2q^{3} + 2q^{4} - 4q^{5} + 6q^{6} + O(q^{8})โˆ’1-1
223.2.a.b44qโˆ’4q2+4q4โˆ’3q5โˆ’8q6โˆ’6q7+O(q8)4q - 4q^{2} + 4q^{4} - 3q^{5} - 8q^{6} - 6q^{7} + O(q^{8})โˆ’1-1
223.2.a.c1212q+7q2+13q4+7q5โˆ’4q6+2q7+O(q8)12q + 7q^{2} + 13q^{4} + 7q^{5} - 4q^{6} + 2q^{7} + O(q^{8})+1+1
224.2.a.a1qโˆ’2q3โˆ’q7+O(q8)q - 2q^{3} - q^{7} + O(q^{8})224a1 rank 1
224.2.a.b1q+2q3+q7+O(q8)q + 2q^{3} + q^{7} + O(q^{8})224b1 rank 0
224.2.a.c22qโˆ’2q3+2q5+2q7+O(q8)2q - 2q^{3} + 2q^{5} + 2q^{7} + O(q^{8})
224.2.a.d22q+2q3+2q5โˆ’2q7+O(q8)2q + 2q^{3} + 2q^{5} - 2q^{7} + O(q^{8})
225.2.a.a1qโˆ’2q2+2q4โˆ’3q7+O(q8)q - 2q^{2} + 2q^{4} - 3q^{7} + O(q^{8})225e1 rank 1
225.2.a.b1qโˆ’q2โˆ’q4+O(q8)q - q^{2} - q^{4} + O(q^{8})225c1 rank 0
225.2.a.c1qโˆ’2q4โˆ’5q7+O(q8)q - 2q^{4} - 5q^{7} + O(q^{8})Q(โˆ’3)\mathbb{Q}(\sqrt{-3})225a1 rank 1
225.2.a.d1qโˆ’2q4+5q7+O(q8)q - 2q^{4} + 5q^{7} + O(q^{8})Q(โˆ’3)\mathbb{Q}(\sqrt{-3})225b1 rank 0
225.2.a.e1q+2q2+2q4+3q7+O(q8)q + 2q^{2} + 2q^{4} + 3q^{7} + O(q^{8})225d1 rank 0
225.2.a.f22q+6q4+O(q8)2q + 6q^{4} + O(q^{8})Q(โˆ’15)\mathbb{Q}(\sqrt{-15})
226.2.a.a1q+q2โˆ’2q3+q4โˆ’4q5โˆ’2q6+O(q8)q + q^{2} - 2q^{3} + q^{4} - 4q^{5} - 2q^{6} + O(q^{8})โˆ’1-1226a1 rank 1
226.2.a.b22qโˆ’2q2+2q4โˆ’4q5โˆ’4q7+O(q8)2q - 2q^{2} + 2q^{4} - 4q^{5} - 4q^{7} + O(q^{8})โˆ’1-1
226.2.a.c22qโˆ’2q2+2q3+2q4+4q5โˆ’2q6+O(q8)2q - 2q^{2} + 2q^{3} + 2q^{4} + 4q^{5} - 2q^{6} + O(q^{8})+1+1
226.2.a.d44q+4q2+2q3+4q4+4q5+2q6โˆ’4q7+O(q8)4q + 4q^{2} + 2q^{3} + 4q^{4} + 4q^{5} + 2q^{6} - 4q^{7} + O(q^{8})+1+1
227.2.a.a22qโˆ’4q3โˆ’2q7+O(q8)2q - 4q^{3} - 2q^{7} + O(q^{8})โˆ’1-1
227.2.a.b22q+3q3+6q4โˆ’4q5โˆ’5q6+7q7+O(q8)2q + 3q^{3} + 6q^{4} - 4q^{5} - 5q^{6} + 7q^{7} + O(q^{8})+1+1
227.2.a.c22q+2q2โˆ’q3โˆ’2q4+4q5โˆ’q6+3q7+O(q8)2q + 2q^{2} - q^{3} - 2q^{4} + 4q^{5} - q^{6} + 3q^{7} + O(q^{8})+1+1
227.2.a.d33qโˆ’2q2+q3โˆ’5q5โˆ’3q6โˆ’6q7+O(q8)3q - 2q^{2} + q^{3} - 5q^{5} - 3q^{6} - 6q^{7} + O(q^{8})โˆ’1-1
227.2.a.e1010q+q3+14q4+7q5+3q6+O(q8)10q + q^{3} + 14q^{4} + 7q^{5} + 3q^{6} + O(q^{8})+1+1
228.2.a.a1qโˆ’q3โˆ’3q5+q7+O(q8)q - q^{3} - 3q^{5} + q^{7} + O(q^{8})228b1 rank 1
228.2.a.b1qโˆ’q3+2q5+O(q8)q - q^{3} + 2q^{5} + O(q^{8})228a1 rank 0
228.2.a.c22q+2q3+3q5+q7+O(q8)2q + 2q^{3} + 3q^{5} + q^{7} + O(q^{8})
229.2.a.a1qโˆ’q2+q3โˆ’q4โˆ’3q5โˆ’q6+2q7+O(q8)q - q^{2} + q^{3} - q^{4} - 3q^{5} - q^{6} + 2q^{7} + O(q^{8})โˆ’1-1229a1 rank 1
229.2.a.b66qโˆ’4q2โˆ’6q3+4q4โˆ’3q5โˆ’q6โˆ’5q7+O(q8)6q - 4q^{2} - 6q^{3} + 4q^{4} - 3q^{5} - q^{6} - 5q^{7} + O(q^{8})โˆ’1-1
229.2.a.c1111q+5q2+3q3+11q4+q7+O(q8)11q + 5q^{2} + 3q^{3} + 11q^{4} + q^{7} + O(q^{8})+1+1
230.2.a.a22qโˆ’2q2โˆ’q3+2q4โˆ’2q5+q6+q7+O(q8)2q - 2q^{2} - q^{3} + 2q^{4} - 2q^{5} + q^{6} + q^{7} + O(q^{8})+1+1
230.2.a.b22qโˆ’2q2+3q3+2q4+2q5โˆ’3q6+3q7+O(q8)2q - 2q^{2} + 3q^{3} + 2q^{4} + 2q^{5} - 3q^{6} + 3q^{7} + O(q^{8})+1+1
230.2.a.c22q+2q2+q3+2q4+2q5+q6+q7+O(q8)2q + 2q^{2} + q^{3} + 2q^{4} + 2q^{5} + q^{6} + q^{7} + O(q^{8})+1+1
230.2.a.d33q+3q2+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
231.2.a.a1qโˆ’q2โˆ’q3โˆ’q4โˆ’2q5+q6+q7+O(q8)q - q^{2} - q^{3} - q^{4} - 2q^{5} + q^{6} + q^{7} + O(q^{8})+1+1231a1 rank 0
231.2.a.b22qโˆ’q2โˆ’2q3+7q4+6q5+q6+2q7+O(q8)2q - q^{2} - 2q^{3} + 7q^{4} + 6q^{5} + q^{6} + 2q^{7} + O(q^{8})+1+1
231.2.a.c22q+q2+2q3โˆ’q4+2q5+q6+2q7+O(q8)2q + q^{2} + 2q^{3} - q^{4} + 2q^{5} + q^{6} + 2q^{7} + O(q^{8})+1+1
231.2.a.d33qโˆ’3q3+6q4โˆ’3q7+O(q8)3q - 3q^{3} + 6q^{4} - 3q^{7} + O(q^{8})+1+1
231.2.a.e33q+2q2+3q3+6q4+4q5+2q6โˆ’3q7+O(q8)3q + 2q^{2} + 3q^{3} + 6q^{4} + 4q^{5} + 2q^{6} - 3q^{7} + O(q^{8})+1+1
232.2.a.a1qโˆ’q3โˆ’3q5+2q7+O(q8)q - q^{3} - 3q^{5} + 2q^{7} + O(q^{8})232a1 rank 1
232.2.a.b1q+q3+q5+2q7+O(q8)q + q^{3} + q^{5} + 2q^{7} + O(q^{8})232b1 rank 0
232.2.a.c22qโˆ’2q3โˆ’2q5โˆ’8q7+O(q8)2q - 2q^{3} - 2q^{5} - 8q^{7} + O(q^{8})
232.2.a.d33q+2q3+4q5+O(q8)3q + 2q^{3} + 4q^{5} + O(q^{8})
233.2.a.a1q+q2โˆ’2q3โˆ’q4+2q5โˆ’2q6+4q7+O(q8)q + q^{2} - 2q^{3} - q^{4} + 2q^{5} - 2q^{6} + 4q^{7} + O(q^{8})+1+1233a1 rank 0
233.2.a.b77qโˆ’2q2โˆ’8q3+2q4โˆ’3q5โˆ’2q6โˆ’17q7+O(q8)7q - 2q^{2} - 8q^{3} + 2q^{4} - 3q^{5} - 2q^{6} - 17q^{7} + O(q^{8})โˆ’1-1
233.2.a.c1111qโˆ’2q2+10q3+14q4โˆ’q5โˆ’2q6+15q7+O(q8)11q - 2q^{2} + 10q^{3} + 14q^{4} - q^{5} - 2q^{6} + 15q^{7} + O(q^{8})+1+1
234.2.a.a1qโˆ’q2+q4โˆ’2q5โˆ’2q7+O(q8)q - q^{2} + q^{4} - 2q^{5} - 2q^{7} + O(q^{8})234c1 rank 1
234.2.a.b1qโˆ’q2+q4+q5+q7+O(q8)q - q^{2} + q^{4} + q^{5} + q^{7} + O(q^{8})234a1 rank 0
234.2.a.c1q+q2+q4โˆ’2q5+4q7+O(q8)q + q^{2} + q^{4} - 2q^{5} + 4q^{7} + O(q^{8})234d1 rank 0
234.2.a.d1q+q2+q4+2q5โˆ’2q7+O(q8)q + q^{2} + q^{4} + 2q^{5} - 2q^{7} + O(q^{8})234b1 rank 0
234.2.a.e1q+q2+q4+3q5โˆ’q7+O(q8)q + q^{2} + q^{4} + 3q^{5} - q^{7} + O(q^{8})234e1 rank 0
235.2.a.a1qโˆ’q2โˆ’q3โˆ’q4โˆ’q5+q6+q7+O(q8)q - q^{2} - q^{3} - q^{4} - q^{5} + q^{6} + q^{7} + O(q^{8})+1+1235b1 rank 0
235.2.a.b1qโˆ’q2โˆ’q3โˆ’q4+q5+q6+q7+O(q8)q - q^{2} - q^{3} - q^{4} + q^{5} + q^{6} + q^{7} + O(q^{8})โˆ’1-1235a1 rank 1
235.2.a.c1q+2q2+2q3+2q4โˆ’q5+4q6โˆ’2q7+O(q8)q + 2q^{2} + 2q^{3} + 2q^{4} - q^{5} + 4q^{6} - 2q^{7} + O(q^{8})+1+1235c1 rank 0
235.2.a.d55qโˆ’4q2โˆ’5q3+6q4โˆ’5q5+q6โˆ’5q7+O(q8)5q - 4q^{2} - 5q^{3} + 6q^{4} - 5q^{5} + q^{6} - 5q^{7} + O(q^{8})โˆ’1-1
235.2.a.e77q+q2+q3+7q4+7q5+q6โˆ’3q7+O(q8)7q + q^{2} + q^{3} + 7q^{4} + 7q^{5} + q^{6} - 3q^{7} + O(q^{8})+1+1
236.2.a.a1qโˆ’q3โˆ’q5โˆ’3q7+O(q8)q - q^{3} - q^{5} - 3q^{7} + O(q^{8})236a1 rank 1
236.2.a.b1q+q3+3q5โˆ’q7+O(q8)q + q^{3} + 3q^{5} - q^{7} + O(q^{8})236b1 rank 0
236.2.a.c33qโˆ’4q5+8q7+O(q8)3q - 4q^{5} + 8q^{7} + O(q^{8})
237.2.a.a22q+2q2โˆ’2q3+2q4โˆ’2q6+2q7+O(q8)2q + 2q^{2} - 2q^{3} + 2q^{4} - 2q^{6} + 2q^{7} + O(q^{8})+1+1
237.2.a.b44qโˆ’3q2โˆ’4q3+3q4โˆ’4q5+3q6โˆ’2q7+O(q8)4q - 3q^{2} - 4q^{3} + 3q^{4} - 4q^{5} + 3q^{6} - 2q^{7} + O(q^{8})โˆ’1-1
237.2.a.c77q+2q2+7q3+12q4โˆ’2q5+2q6+4q7+O(q8)7q + 2q^{2} + 7q^{3} + 12q^{4} - 2q^{5} + 2q^{6} + 4q^{7} + O(q^{8})+1+1
238.2.a.a1qโˆ’q2+q4โˆ’2q5โˆ’q7+O(q8)q - q^{2} + q^{4} - 2q^{5} - q^{7} + O(q^{8})โˆ’1-1238b1 rank 1
238.2.a.b1qโˆ’q2+2q3+q4+4q5โˆ’2q6+q7+O(q8)q - q^{2} + 2q^{3} + q^{4} + 4q^{5} - 2q^{6} + q^{7} + O(q^{8})+1+1238e1 rank 0
238.2.a.c1q+q2โˆ’2q3+q4โˆ’4q5โˆ’2q6+q7+O(q8)q + q^{2} - 2q^{3} + q^{4} - 4q^{5} - 2q^{6} + q^{7} + O(q^{8})โˆ’1-1238a1 rank 1
238.2.a.d1q+q2+q4+2q5+q7+O(q8)q + q^{2} + q^{4} + 2q^{5} + q^{7} + O(q^{8})+1+1238c1 rank 0
238.2.a.e1q+q2+2q3+q4+2q6โˆ’q7+O(q8)q + q^{2} + 2q^{3} + q^{4} + 2q^{6} - q^{7} + O(q^{8})+1+1238d1 rank 0
238.2.a.f22qโˆ’2q2+2q3+2q4+2q5โˆ’2q6โˆ’2q7+O(q8)2q - 2q^{2} + 2q^{3} + 2q^{4} + 2q^{5} - 2q^{6} - 2q^{7} + O(q^{8})+1+1
239.2.a.a33qโˆ’q2โˆ’q3โˆ’q4โˆ’4q5โˆ’2q6โˆ’3q7+O(q8)3q - q^{2} - q^{3} - q^{4} - 4q^{5} - 2q^{6} - 3q^{7} + O(q^{8})โˆ’1-1
239.2.a.b1717q+3q3+22q4+6q5+2q6+5q7+O(q8)17q + 3q^{3} + 22q^{4} + 6q^{5} + 2q^{6} + 5q^{7} + O(q^{8})+1+1
240.2.a.a1qโˆ’q3โˆ’q5โˆ’4q7+O(q8)q - q^{3} - q^{5} - 4q^{7} + O(q^{8})240c1 rank 1
240.2.a.b1qโˆ’q3โˆ’q5+4q7+O(q8)q - q^{3} - q^{5} + 4q^{7} + O(q^{8})240b1 rank 0
240.2.a.c1qโˆ’q3+q5+O(q8)q - q^{3} + q^{5} + O(q^{8})240a1 rank 0
240.2.a.d1q+q3+q5+O(q8)q + q^{3} + q^{5} + O(q^{8})240d1 rank 0
241.2.a.a77qโˆ’4q2โˆ’3q3+2q4โˆ’8q5โˆ’5q6โˆ’7q7+O(q8)7q - 4q^{2} - 3q^{3} + 2q^{4} - 8q^{5} - 5q^{6} - 7q^{7} + O(q^{8})โˆ’1-1
241.2.a.b1212q+3q2+q3+13q4+6q5โˆ’q6+3q7+O(q8)12q + 3q^{2} + q^{3} + 13q^{4} + 6q^{5} - q^{6} + 3q^{7} + O(q^{8})+1+1
242.2.a.a1qโˆ’q2โˆ’2q3+q4โˆ’3q5+2q6+2q7+O(q8)q - q^{2} - 2q^{3} + q^{4} - 3q^{5} + 2q^{6} + 2q^{7} + O(q^{8})242b1 rank 0
242.2.a.b1q+q2โˆ’2q3+q4โˆ’3q5โˆ’2q6โˆ’2q7+O(q8)q + q^{2} - 2q^{3} + q^{4} - 3q^{5} - 2q^{6} - 2q^{7} + O(q^{8})242a1 rank 1
242.2.a.c22qโˆ’2q2โˆ’2q3+2q4+2q6โˆ’6q7+O(q8)2q - 2q^{2} - 2q^{3} + 2q^{4} + 2q^{6} - 6q^{7} + O(q^{8})
242.2.a.d22qโˆ’2q2+3q3+2q4+2q5โˆ’3q6+4q7+O(q8)2q - 2q^{2} + 3q^{3} + 2q^{4} + 2q^{5} - 3q^{6} + 4q^{7} + O(q^{8})
242.2.a.e22q+2q2โˆ’2q3+2q4โˆ’2q6+6q7+O(q8)2q + 2q^{2} - 2q^{3} + 2q^{4} - 2q^{6} + 6q^{7} + O(q^{8})
242.2.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})
243.2.a.a1qโˆ’2q4โˆ’4q7+O(q8)q - 2q^{4} - 4q^{7} + O(q^{8})Q(โˆ’3)\mathbb{Q}(\sqrt{-3})243a1 rank 1
243.2.a.b1qโˆ’2q4+5q7+O(q8)q - 2q^{4} + 5q^{7} + O(q^{8})Q(โˆ’3)\mathbb{Q}(\sqrt{-3})243b1 rank 0
243.2.a.c22q+2q4โˆ’2q7+O(q8)2q + 2q^{4} - 2q^{7} + O(q^{8})
243.2.a.d22q+8q4+4q7+O(q8)2q + 8q^{4} + 4q^{7} + O(q^{8})
243.2.a.e33qโˆ’3q2+3q4โˆ’6q5โˆ’3q7+O(q8)3q - 3q^{2} + 3q^{4} - 6q^{5} - 3q^{7} + O(q^{8})
243.2.a.f33q+3q2+3q4+6q5โˆ’3q7+O(q8)3q + 3q^{2} + 3q^{4} + 6q^{5} - 3q^{7} + O(q^{8})
244.2.a.a1qโˆ’3q5โˆ’3q7+O(q8)q - 3q^{5} - 3q^{7} + O(q^{8})244a1 rank 1
244.2.a.b44q+5q5โˆ’q7+O(q8)4q + 5q^{5} - q^{7} + O(q^{8})
245.2.a.a1qโˆ’2q2โˆ’3q3+2q4+q5+6q6+O(q8)q - 2q^{2} - 3q^{3} + 2q^{4} + q^{5} + 6q^{6} + O(q^{8})245a1 rank 1
245.2.a.b1qโˆ’2q2+3q3+2q4โˆ’q5โˆ’6q6+O(q8)q - 2q^{2} + 3q^{3} + 2q^{4} - q^{5} - 6q^{6} + O(q^{8})245b1 rank 0
245.2.a.c1qโˆ’q3โˆ’2q4+q5+O(q8)q - q^{3} - 2q^{4} + q^{5} + O(q^{8})245c1 rank 1
245.2.a.d22qโˆ’q2+q3+5q4โˆ’2q5+8q6+O(q8)2q - q^{2} + q^{3} + 5q^{4} - 2q^{5} + 8q^{6} + O(q^{8})
245.2.a.e22qโˆ’2q3โˆ’2q5โˆ’4q6+O(q8)2q - 2q^{3} - 2q^{5} - 4q^{6} + O(q^{8})
245.2.a.f22q+2q3+2q5+4q6+O(q8)2q + 2q^{3} + 2q^{5} + 4q^{6} + O(q^{8})
245.2.a.g22q+2q2โˆ’2q3+2q4โˆ’2q5+2q6+O(q8)2q + 2q^{2} - 2q^{3} + 2q^{4} - 2q^{5} + 2q^{6} + O(q^{8})
245.2.a.h22q+2q2+2q3+2q4+2q5โˆ’2q6+O(q8)2q + 2q^{2} + 2q^{3} + 2q^{4} + 2q^{5} - 2q^{6} + O(q^{8})
246.2.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})โˆ’1-1246d1 rank 1
246.2.a.b1qโˆ’q2โˆ’q3+q4+3q5+q6โˆ’2q7+O(q8)q - q^{2} - q^{3} + q^{4} + 3q^{5} + q^{6} - 2q^{7} + O(q^{8})+1+1246g1 rank 0
246.2.a.c1qโˆ’q2+q3+q4โˆ’2q5โˆ’q6+2q7+O(q8)q - q^{2} + q^{3} + q^{4} - 2q^{5} - q^{6} + 2q^{7} + O(q^{8})+1+1246c1 rank 0

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