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327 orbits; showing 101โ€“200 ยท JSON

LabelDimTrace formSignCMCurve
136.2.a.b1q+2q3+O(q8)q + 2q^{3} + O(q^{8})136b1 rank 0
136.2.a.c22qโˆ’2q3+4q5+2q7+O(q8)2q - 2q^{3} + 4q^{5} + 2q^{7} + O(q^{8})
137.2.a.a44qโˆ’3q2โˆ’5q3+q4โˆ’2q5+q6โˆ’13q7+O(q8)4q - 3q^{2} - 5q^{3} + q^{4} - 2q^{5} + q^{6} - 13q^{7} + O(q^{8})โˆ’1-1
137.2.a.b77q+3q3+6q4โˆ’2q5โˆ’q6+15q7+O(q8)7q + 3q^{3} + 6q^{4} - 2q^{5} - q^{6} + 15q^{7} + O(q^{8})+1+1
138.2.a.a1qโˆ’q2โˆ’q3+q4โˆ’2q5+q6โˆ’2q7+O(q8)q - q^{2} - q^{3} + q^{4} - 2q^{5} + q^{6} - 2q^{7} + O(q^{8})โˆ’1-1138a1 rank 1
138.2.a.b1qโˆ’q2+q3+q4โˆ’q6+2q7+O(q8)q - q^{2} + q^{3} + q^{4} - q^{6} + 2q^{7} + O(q^{8})+1+1138b1 rank 0
138.2.a.c1q+q2โˆ’q3+q4+2q5โˆ’q6+O(q8)q + q^{2} - q^{3} + q^{4} + 2q^{5} - q^{6} + O(q^{8})+1+1138c1 rank 0
138.2.a.d22q+2q2+2q3+2q4โˆ’2q5+2q6+O(q8)2q + 2q^{2} + 2q^{3} + 2q^{4} - 2q^{5} + 2q^{6} + O(q^{8})+1+1
139.2.a.a1q+q2+2q3โˆ’q4โˆ’q5+2q6+3q7+O(q8)q + q^{2} + 2q^{3} - q^{4} - q^{5} + 2q^{6} + 3q^{7} + O(q^{8})+1+1139a1 rank 0
139.2.a.b33qโˆ’2q2โˆ’2q3โˆ’8q5โˆ’q6+O(q8)3q - 2q^{2} - 2q^{3} - 8q^{5} - q^{6} + O(q^{8})โˆ’1-1
139.2.a.c77q+q2โˆ’2q3+9q4+11q5โˆ’7q6โˆ’5q7+O(q8)7q + q^{2} - 2q^{3} + 9q^{4} + 11q^{5} - 7q^{6} - 5q^{7} + O(q^{8})+1+1
140.2.a.a1q+q3+q5+q7+O(q8)q + q^{3} + q^{5} + q^{7} + O(q^{8})140a1 rank 0
140.2.a.b1q+3q3โˆ’q5โˆ’q7+O(q8)q + 3q^{3} - q^{5} - q^{7} + O(q^{8})140b1 rank 0
141.2.a.a1qโˆ’2q2+q3+2q4โˆ’3q5โˆ’2q6โˆ’3q7+O(q8)q - 2q^{2} + q^{3} + 2q^{4} - 3q^{5} - 2q^{6} - 3q^{7} + O(q^{8})โˆ’1-1141a1 rank 1
141.2.a.b1qโˆ’q2โˆ’q3โˆ’q4+q6+4q7+O(q8)q - q^{2} - q^{3} - q^{4} + q^{6} + 4q^{7} + O(q^{8})+1+1141b1 rank 0
141.2.a.c1qโˆ’q2+q3โˆ’q4+2q5โˆ’q6+O(q8)q - q^{2} + q^{3} - q^{4} + 2q^{5} - q^{6} + O(q^{8})+1+1141c1 rank 0
141.2.a.d1qโˆ’q3โˆ’2q4โˆ’q5โˆ’3q7+O(q8)q - q^{3} - 2q^{4} - q^{5} - 3q^{7} + O(q^{8})โˆ’1-1141d1 rank 1
141.2.a.e1q+2q2+q3+2q4โˆ’q5+2q6โˆ’3q7+O(q8)q + 2q^{2} + q^{3} + 2q^{4} - q^{5} + 2q^{6} - 3q^{7} + O(q^{8})+1+1141e1 rank 0
141.2.a.f22qโˆ’q2โˆ’2q3+5q4+q5+q6+q7+O(q8)2q - q^{2} - 2q^{3} + 5q^{4} + q^{5} + q^{6} + q^{7} + O(q^{8})+1+1
142.2.a.a1qโˆ’q2โˆ’q3+q4โˆ’2q5+q6โˆ’q7+O(q8)q - q^{2} - q^{3} + q^{4} - 2q^{5} + q^{6} - q^{7} + O(q^{8})โˆ’1-1142b1 rank 1
142.2.a.b1qโˆ’q2+q4+2q5+O(q8)q - q^{2} + q^{4} + 2q^{5} + O(q^{8})+1+1142c1 rank 0
142.2.a.c1qโˆ’q2+3q3+q4+2q5โˆ’3q6โˆ’3q7+O(q8)q - q^{2} + 3q^{3} + q^{4} + 2q^{5} - 3q^{6} - 3q^{7} + O(q^{8})+1+1142e1 rank 0
142.2.a.d1q+q2โˆ’3q3+q4โˆ’4q5โˆ’3q6โˆ’3q7+O(q8)q + q^{2} - 3q^{3} + q^{4} - 4q^{5} - 3q^{6} - 3q^{7} + O(q^{8})โˆ’1-1142a1 rank 1
142.2.a.e1q+q2+q3+q4+q6โˆ’q7+O(q8)q + q^{2} + q^{3} + q^{4} + q^{6} - q^{7} + O(q^{8})+1+1142d1 rank 0
143.2.a.a1qโˆ’q3โˆ’2q4โˆ’q5โˆ’2q7+O(q8)q - q^{3} - 2q^{4} - q^{5} - 2q^{7} + O(q^{8})โˆ’1-1143a1 rank 1
143.2.a.b44q+3q2+3q4โˆ’q6+6q7+O(q8)4q + 3q^{2} + 3q^{4} - q^{6} + 6q^{7} + O(q^{8})+1+1
143.2.a.c66q+3q3+8q4+q5โˆ’3q6+4q7+O(q8)6q + 3q^{3} + 8q^{4} + q^{5} - 3q^{6} + 4q^{7} + O(q^{8})+1+1
144.2.a.a1q+4q7+O(q8)q + 4q^{7} + O(q^{8})Q(โˆ’3)\mathbb{Q}(\sqrt{-3})144a1 rank 0
144.2.a.b1q+2q5+O(q8)q + 2q^{5} + O(q^{8})144b1 rank 0
145.2.a.a1qโˆ’q2โˆ’q4โˆ’q5โˆ’2q7+O(q8)q - q^{2} - q^{4} - q^{5} - 2q^{7} + O(q^{8})โˆ’1-1145a1 rank 1
145.2.a.b22qโˆ’2q2โˆ’4q3+2q4+2q5+4q6โˆ’4q7+O(q8)2q - 2q^{2} - 4q^{3} + 2q^{4} + 2q^{5} + 4q^{6} - 4q^{7} + O(q^{8})โˆ’1-1
145.2.a.c33q+q2+2q3+q4+3q5โˆ’4q6+4q7+O(q8)3q + q^{2} + 2q^{3} + q^{4} + 3q^{5} - 4q^{6} + 4q^{7} + O(q^{8})+1+1
145.2.a.d33q+3q2โˆ’2q3+5q4โˆ’3q5+4q6โˆ’2q7+O(q8)3q + 3q^{2} - 2q^{3} + 5q^{4} - 3q^{5} + 4q^{6} - 2q^{7} + O(q^{8})+1+1
146.2.a.a33qโˆ’3q2+3q4โˆ’2q5+8q7+O(q8)3q - 3q^{2} + 3q^{4} - 2q^{5} + 8q^{7} + O(q^{8})+1+1
146.2.a.b44q+4q2+4q4+2q5+O(q8)4q + 4q^{2} + 4q^{4} + 2q^{5} + O(q^{8})+1+1
147.2.a.a1qโˆ’q2โˆ’q3โˆ’q4+2q5+q6+O(q8)q - q^{2} - q^{3} - q^{4} + 2q^{5} + q^{6} + O(q^{8})147a1 rank 0
147.2.a.b1q+2q2โˆ’q3+2q4+2q5โˆ’2q6+O(q8)q + 2q^{2} - q^{3} + 2q^{4} + 2q^{5} - 2q^{6} + O(q^{8})147c1 rank 0
147.2.a.c1q+2q2+q3+2q4โˆ’2q5+2q6+O(q8)q + 2q^{2} + q^{3} + 2q^{4} - 2q^{5} + 2q^{6} + O(q^{8})147b1 rank 0
147.2.a.d22qโˆ’2q2โˆ’2q3+2q4โˆ’4q5+2q6+O(q8)2q - 2q^{2} - 2q^{3} + 2q^{4} - 4q^{5} + 2q^{6} + O(q^{8})
147.2.a.e22qโˆ’2q2+2q3+2q4+4q5โˆ’2q6+O(q8)2q - 2q^{2} + 2q^{3} + 2q^{4} + 4q^{5} - 2q^{6} + O(q^{8})
148.2.a.a1qโˆ’q3โˆ’4q5โˆ’3q7+O(q8)q - q^{3} - 4q^{5} - 3q^{7} + O(q^{8})148a1 rank 1
148.2.a.b22qโˆ’q3+4q5+q7+O(q8)2q - q^{3} + 4q^{5} + q^{7} + O(q^{8})
149.2.a.a33qโˆ’q2โˆ’4q3โˆ’q4โˆ’3q5โˆ’q6โˆ’5q7+O(q8)3q - q^{2} - 4q^{3} - q^{4} - 3q^{5} - q^{6} - 5q^{7} + O(q^{8})โˆ’1-1
149.2.a.b99qโˆ’q2+6q3+13q4โˆ’q5+q6+3q7+O(q8)9q - q^{2} + 6q^{3} + 13q^{4} - q^{5} + q^{6} + 3q^{7} + O(q^{8})+1+1
150.2.a.a1qโˆ’q2โˆ’q3+q4+q6+2q7+O(q8)q - q^{2} - q^{3} + q^{4} + q^{6} + 2q^{7} + O(q^{8})150b1 rank 0
150.2.a.b1q+q2โˆ’q3+q4โˆ’q6+4q7+O(q8)q + q^{2} - q^{3} + q^{4} - q^{6} + 4q^{7} + O(q^{8})150c1 rank 0
150.2.a.c1q+q2+q3+q4+q6โˆ’2q7+O(q8)q + q^{2} + q^{3} + q^{4} + q^{6} - 2q^{7} + O(q^{8})150a1 rank 0
151.2.a.a33qโˆ’2q2โˆ’q3โˆ’7q5โˆ’4q6โˆ’3q7+O(q8)3q - 2q^{2} - q^{3} - 7q^{5} - 4q^{6} - 3q^{7} + O(q^{8})โˆ’1-1
151.2.a.b33q+6q3+4q4+5q5โˆ’6q7+O(q8)3q + 6q^{3} + 4q^{4} + 5q^{5} - 6q^{7} + O(q^{8})+1+1
151.2.a.c66q+q2โˆ’5q3+3q4+6q5โˆ’2q6+3q7+O(q8)6q + q^{2} - 5q^{3} + 3q^{4} + 6q^{5} - 2q^{6} + 3q^{7} + O(q^{8})+1+1
152.2.a.a1qโˆ’2q3โˆ’q5โˆ’3q7+O(q8)q - 2q^{3} - q^{5} - 3q^{7} + O(q^{8})152a1 rank 1
152.2.a.b1q+q3+3q7+O(q8)q + q^{3} + 3q^{7} + O(q^{8})152b1 rank 0
152.2.a.c33q+q3+q5+4q7+O(q8)3q + q^{3} + q^{5} + 4q^{7} + O(q^{8})
153.2.a.a1qโˆ’2q2+2q4โˆ’q5โˆ’2q7+O(q8)q - 2q^{2} + 2q^{4} - q^{5} - 2q^{7} + O(q^{8})153a1 rank 1
153.2.a.b1qโˆ’2q4โˆ’3q5โˆ’4q7+O(q8)q - 2q^{4} - 3q^{5} - 4q^{7} + O(q^{8})153b1 rank 1
153.2.a.c1q+q2โˆ’q4+2q5+4q7+O(q8)q + q^{2} - q^{4} + 2q^{5} + 4q^{7} + O(q^{8})153c1 rank 0
153.2.a.d1q+2q2+2q4+q5โˆ’2q7+O(q8)q + 2q^{2} + 2q^{4} + q^{5} - 2q^{7} + O(q^{8})153d1 rank 0
153.2.a.e22q+q2+5q4โˆ’3q5+O(q8)2q + q^{2} + 5q^{4} - 3q^{5} + O(q^{8})
154.2.a.a1qโˆ’q2+q4โˆ’4q5โˆ’q7+O(q8)q - q^{2} + q^{4} - 4q^{5} - q^{7} + O(q^{8})โˆ’1-1154a1 rank 1
154.2.a.b1qโˆ’q2+2q3+q4+2q5โˆ’2q6โˆ’q7+O(q8)q - q^{2} + 2q^{3} + q^{4} + 2q^{5} - 2q^{6} - q^{7} + O(q^{8})+1+1154c1 rank 0
154.2.a.c1q+q2+q4+2q5โˆ’q7+O(q8)q + q^{2} + q^{4} + 2q^{5} - q^{7} + O(q^{8})+1+1154b1 rank 0
154.2.a.d22q+2q2โˆ’2q3+2q4+2q5โˆ’2q6+2q7+O(q8)2q + 2q^{2} - 2q^{3} + 2q^{4} + 2q^{5} - 2q^{6} + 2q^{7} + O(q^{8})+1+1
155.2.a.a1qโˆ’2q2โˆ’q3+2q4+q5+2q6โˆ’2q7+O(q8)q - 2q^{2} - q^{3} + 2q^{4} + q^{5} + 2q^{6} - 2q^{7} + O(q^{8})โˆ’1-1155a1 rank 1
155.2.a.b1qโˆ’q2+2q3โˆ’q4โˆ’q5โˆ’2q6+4q7+O(q8)q - q^{2} + 2q^{3} - q^{4} - q^{5} - 2q^{6} + 4q^{7} + O(q^{8})+1+1155b1 rank 0
155.2.a.c1qโˆ’q3โˆ’2q4โˆ’q5+O(q8)q - q^{3} - 2q^{4} - q^{5} + O(q^{8})โˆ’1-1155c1 rank 1
155.2.a.d44qโˆ’q2โˆ’q3+9q4โˆ’4q5+8q6+O(q8)4q - q^{2} - q^{3} + 9q^{4} - 4q^{5} + 8q^{6} + O(q^{8})+1+1
155.2.a.e44q+q2+q3+5q4+4q5โˆ’4q6+2q7+O(q8)4q + q^{2} + q^{3} + 5q^{4} + 4q^{5} - 4q^{6} + 2q^{7} + O(q^{8})+1+1
156.2.a.a1qโˆ’q3โˆ’4q5โˆ’2q7+O(q8)q - q^{3} - 4q^{5} - 2q^{7} + O(q^{8})156a1 rank 1
156.2.a.b1q+q3+2q7+O(q8)q + q^{3} + 2q^{7} + O(q^{8})156b1 rank 0
157.2.a.a55qโˆ’5q2โˆ’7q3+5q4โˆ’3q5+6q6โˆ’3q7+O(q8)5q - 5q^{2} - 7q^{3} + 5q^{4} - 3q^{5} + 6q^{6} - 3q^{7} + O(q^{8})โˆ’1-1
157.2.a.b77q+5q2+5q3+7q4โˆ’q5+q7+O(q8)7q + 5q^{2} + 5q^{3} + 7q^{4} - q^{5} + q^{7} + O(q^{8})+1+1
158.2.a.a1qโˆ’q2โˆ’q3+q4โˆ’q5+q6โˆ’3q7+O(q8)q - q^{2} - q^{3} + q^{4} - q^{5} + q^{6} - 3q^{7} + O(q^{8})โˆ’1-1158b1 rank 1
158.2.a.b1qโˆ’q2+q3+q4+3q5โˆ’q6โˆ’q7+O(q8)q - q^{2} + q^{3} + q^{4} + 3q^{5} - q^{6} - q^{7} + O(q^{8})+1+1158d1 rank 0
158.2.a.c1q+q2โˆ’3q3+q4โˆ’3q5โˆ’3q6โˆ’3q7+O(q8)q + q^{2} - 3q^{3} + q^{4} - 3q^{5} - 3q^{6} - 3q^{7} + O(q^{8})โˆ’1-1158a1 rank 1
158.2.a.d1q+q2โˆ’q3+q4+q5โˆ’q6+3q7+O(q8)q + q^{2} - q^{3} + q^{4} + q^{5} - q^{6} + 3q^{7} + O(q^{8})+1+1158c1 rank 0
158.2.a.e1q+q2+2q3+q4โˆ’2q5+2q6+O(q8)q + q^{2} + 2q^{3} + q^{4} - 2q^{5} + 2q^{6} + O(q^{8})+1+1158e1 rank 0
158.2.a.f22qโˆ’2q2+2q4โˆ’4q5+8q7+O(q8)2q - 2q^{2} + 2q^{4} - 4q^{5} + 8q^{7} + O(q^{8})+1+1
159.2.a.a44q+3q2+4q3+3q4+2q5+3q6โˆ’4q7+O(q8)4q + 3q^{2} + 4q^{3} + 3q^{4} + 2q^{5} + 3q^{6} - 4q^{7} + O(q^{8})+1+1
159.2.a.b55qโˆ’5q3+10q4+4q7+O(q8)5q - 5q^{3} + 10q^{4} + 4q^{7} + O(q^{8})+1+1
160.2.a.a1qโˆ’2q3โˆ’q5โˆ’2q7+O(q8)q - 2q^{3} - q^{5} - 2q^{7} + O(q^{8})160a1 rank 1
160.2.a.b1q+2q3โˆ’q5+2q7+O(q8)q + 2q^{3} - q^{5} + 2q^{7} + O(q^{8})160b1 rank 0
160.2.a.c22q+2q5+O(q8)2q + 2q^{5} + O(q^{8})
161.2.a.a1qโˆ’q2โˆ’q4+2q5+q7+O(q8)q - q^{2} - q^{4} + 2q^{5} + q^{7} + O(q^{8})+1+1161a1 rank 0
161.2.a.b22qโˆ’q2โˆ’2q3โˆ’q4โˆ’2q5+q6โˆ’2q7+O(q8)2q - q^{2} - 2q^{3} - q^{4} - 2q^{5} + q^{6} - 2q^{7} + O(q^{8})โˆ’1-1
161.2.a.c33qโˆ’q2+2q3+5q4+2q5+4q6โˆ’3q7+O(q8)3q - q^{2} + 2q^{3} + 5q^{4} + 2q^{5} + 4q^{6} - 3q^{7} + O(q^{8})+1+1
161.2.a.d55q+2q2+12q4โˆ’4q5โˆ’3q6+5q7+O(q8)5q + 2q^{2} + 12q^{4} - 4q^{5} - 3q^{6} + 5q^{7} + O(q^{8})+1+1
162.2.a.a1qโˆ’q2+q4โˆ’3q5โˆ’4q7+O(q8)q - q^{2} + q^{4} - 3q^{5} - 4q^{7} + O(q^{8})162a1 rank 1
162.2.a.b1qโˆ’q2+q4+2q7+O(q8)q - q^{2} + q^{4} + 2q^{7} + O(q^{8})162c1 rank 0
162.2.a.c1q+q2+q4+2q7+O(q8)q + q^{2} + q^{4} + 2q^{7} + O(q^{8})162b1 rank 0
162.2.a.d1q+q2+q4+3q5โˆ’4q7+O(q8)q + q^{2} + q^{4} + 3q^{5} - 4q^{7} + O(q^{8})162d1 rank 0
163.2.a.a1qโˆ’2q4โˆ’4q5+2q7+O(q8)q - 2q^{4} - 4q^{5} + 2q^{7} + O(q^{8})โˆ’1-1163a1 rank 1
163.2.a.b55qโˆ’5q2โˆ’5q3+9q4โˆ’9q5โˆ’3q6โˆ’6q7+O(q8)5q - 5q^{2} - 5q^{3} + 9q^{4} - 9q^{5} - 3q^{6} - 6q^{7} + O(q^{8})โˆ’1-1
163.2.a.c77q+3q2+q3+5q4+11q5โˆ’3q6+O(q8)7q + 3q^{2} + q^{3} + 5q^{4} + 11q^{5} - 3q^{6} + O(q^{8})+1+1
164.2.a.a44q+2q3+4q5+O(q8)4q + 2q^{3} + 4q^{5} + O(q^{8})
165.2.a.a22qโˆ’2q2โˆ’2q3+2q4โˆ’2q5+2q6โˆ’4q7+O(q8)2q - 2q^{2} - 2q^{3} + 2q^{4} - 2q^{5} + 2q^{6} - 4q^{7} + O(q^{8})โˆ’1-1
165.2.a.b22q+2q3+2q4โˆ’2q5+4q7+O(q8)2q + 2q^{3} + 2q^{4} - 2q^{5} + 4q^{7} + O(q^{8})+1+1
165.2.a.c33qโˆ’q2+3q3+5q4+3q5โˆ’q6+O(q8)3q - q^{2} + 3q^{3} + 5q^{4} + 3q^{5} - q^{6} + O(q^{8})+1+1
166.2.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’1-1166a1 rank 1
166.2.a.b22qโˆ’2q2โˆ’2q3+2q4+3q5+2q6โˆ’3q7+O(q8)2q - 2q^{2} - 2q^{3} + 2q^{4} + 3q^{5} + 2q^{6} - 3q^{7} + O(q^{8})+1+1
166.2.a.c33q+3q2+q3+3q4โˆ’q5+q6+2q7+O(q8)3q + 3q^{2} + q^{3} + 3q^{4} - q^{5} + q^{6} + 2q^{7} + O(q^{8})+1+1

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