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7961 orbits; showing 101โ€“200 ยท JSON

LabelDimTrace formSignCMCurve
82.2.a.b22q+2q2+2q4โˆ’4q7+O(q8)2q + 2q^{2} + 2q^{4} - 4q^{7} + O(q^{8})+1+1
83.2.a.a1qโˆ’q2โˆ’q3โˆ’q4โˆ’2q5+q6โˆ’3q7+O(q8)q - q^{2} - q^{3} - q^{4} - 2q^{5} + q^{6} - 3q^{7} + O(q^{8})โˆ’1-183a1 rank 1
83.2.a.b66q+q2+q3+7q4+2q5โˆ’7q6+3q7+O(q8)6q + q^{2} + q^{3} + 7q^{4} + 2q^{5} - 7q^{6} + 3q^{7} + O(q^{8})+1+1
84.2.a.a1qโˆ’q3+4q5โˆ’q7+O(q8)q - q^{3} + 4q^{5} - q^{7} + O(q^{8})84b1 rank 0
84.2.a.b1q+q3+q7+O(q8)q + q^{3} + q^{7} + O(q^{8})84a1 rank 0
85.2.a.a1q+q2+2q3โˆ’q4โˆ’q5+2q6โˆ’2q7+O(q8)q + q^{2} + 2q^{3} - q^{4} - q^{5} + 2q^{6} - 2q^{7} + O(q^{8})+1+185a1 rank 0
85.2.a.b22qโˆ’2q2โˆ’4q3+2q4โˆ’2q5โˆ’4q7+O(q8)2q - 2q^{2} - 4q^{3} + 2q^{4} - 2q^{5} - 4q^{7} + O(q^{8})โˆ’1-1
85.2.a.c22q+2q3+2q4+2q5โˆ’6q6โˆ’2q7+O(q8)2q + 2q^{3} + 2q^{4} + 2q^{5} - 6q^{6} - 2q^{7} + O(q^{8})+1+1
86.2.a.a22qโˆ’2q2โˆ’q3+2q4+3q5+q6+4q7+O(q8)2q - 2q^{2} - q^{3} + 2q^{4} + 3q^{5} + q^{6} + 4q^{7} + O(q^{8})+1+1
86.2.a.b22q+2q2+q3+2q4โˆ’3q5+q6+O(q8)2q + 2q^{2} + q^{3} + 2q^{4} - 3q^{5} + q^{6} + O(q^{8})+1+1
87.2.a.a22q+q2+2q3โˆ’q4+2q5+q6โˆ’4q7+O(q8)2q + q^{2} + 2q^{3} - q^{4} + 2q^{5} + q^{6} - 4q^{7} + O(q^{8})+1+1
87.2.a.b33q+2q2โˆ’3q3+6q4โˆ’2q6+4q7+O(q8)3q + 2q^{2} - 3q^{3} + 6q^{4} - 2q^{6} + 4q^{7} + O(q^{8})+1+1
88.2.a.a1qโˆ’3q3โˆ’3q5โˆ’2q7+O(q8)q - 3q^{3} - 3q^{5} - 2q^{7} + O(q^{8})88a1 rank 1
88.2.a.b22q+q3+3q5โˆ’2q7+O(q8)2q + q^{3} + 3q^{5} - 2q^{7} + O(q^{8})
89.2.a.a1qโˆ’q2โˆ’q3โˆ’q4โˆ’q5+q6โˆ’4q7+O(q8)q - q^{2} - q^{3} - q^{4} - q^{5} + q^{6} - 4q^{7} + O(q^{8})โˆ’1-189a1 rank 1
89.2.a.b1q+q2+2q3โˆ’q4โˆ’2q5+2q6+2q7+O(q8)q + q^{2} + 2q^{3} - q^{4} - 2q^{5} + 2q^{6} + 2q^{7} + O(q^{8})+1+189b1 rank 0
89.2.a.c55qโˆ’q2โˆ’3q3+11q4โˆ’q5โˆ’3q6+8q7+O(q8)5q - q^{2} - 3q^{3} + 11q^{4} - q^{5} - 3q^{6} + 8q^{7} + O(q^{8})+1+1
90.2.a.a1qโˆ’q2+q4+q5+2q7+O(q8)q - q^{2} + q^{4} + q^{5} + 2q^{7} + O(q^{8})90a1 rank 0
90.2.a.b1q+q2+q4โˆ’q5+2q7+O(q8)q + q^{2} + q^{4} - q^{5} + 2q^{7} + O(q^{8})90b1 rank 0
90.2.a.c1q+q2+q4+q5โˆ’4q7+O(q8)q + q^{2} + q^{4} + q^{5} - 4q^{7} + O(q^{8})90c1 rank 0
91.2.a.a1qโˆ’2q2+2q4โˆ’3q5โˆ’q7+O(q8)q - 2q^{2} + 2q^{4} - 3q^{5} - q^{7} + O(q^{8})โˆ’1-191a1 rank 1
91.2.a.b1qโˆ’2q3โˆ’2q4โˆ’3q5+q7+O(q8)q - 2q^{3} - 2q^{4} - 3q^{5} + q^{7} + O(q^{8})โˆ’1-191b1 rank 1
91.2.a.c22q+6q5โˆ’4q6+2q7+O(q8)2q + 6q^{5} - 4q^{6} + 2q^{7} + O(q^{8})+1+1
91.2.a.d33q+q2โˆ’2q3+3q4+2q5+4q6โˆ’3q7+O(q8)3q + q^{2} - 2q^{3} + 3q^{4} + 2q^{5} + 4q^{6} - 3q^{7} + O(q^{8})+1+1
92.2.a.a1qโˆ’3q3โˆ’2q5โˆ’4q7+O(q8)q - 3q^{3} - 2q^{5} - 4q^{7} + O(q^{8})92b1 rank 1
92.2.a.b1q+q3+2q7+O(q8)q + q^{3} + 2q^{7} + O(q^{8})92a1 rank 0
93.2.a.a22qโˆ’3q2โˆ’2q3+3q4โˆ’4q5+3q6โˆ’4q7+O(q8)2q - 3q^{2} - 2q^{3} + 3q^{4} - 4q^{5} + 3q^{6} - 4q^{7} + O(q^{8})โˆ’1-1
93.2.a.b33q+3q3+2q4โˆ’2q5+4q7+O(q8)3q + 3q^{3} + 2q^{4} - 2q^{5} + 4q^{7} + O(q^{8})+1+1
94.2.a.a1q+q2+q4+O(q8)q + q^{2} + q^{4} + O(q^{8})+1+194a1 rank 0
94.2.a.b22qโˆ’2q2+2q4+4q5โˆ’4q7+O(q8)2q - 2q^{2} + 2q^{4} + 4q^{5} - 4q^{7} + O(q^{8})+1+1
95.2.a.a33q+q2+2q3+q4+3q5โˆ’4q6+O(q8)3q + q^{2} + 2q^{3} + q^{4} + 3q^{5} - 4q^{6} + O(q^{8})+1+1
95.2.a.b44qโˆ’2q2+2q3+8q4โˆ’4q5+4q7+O(q8)4q - 2q^{2} + 2q^{3} + 8q^{4} - 4q^{5} + 4q^{7} + O(q^{8})+1+1
96.2.a.a1qโˆ’q3+2q5+4q7+O(q8)q - q^{3} + 2q^{5} + 4q^{7} + O(q^{8})96b1 rank 0
96.2.a.b1q+q3+2q5โˆ’4q7+O(q8)q + q^{3} + 2q^{5} - 4q^{7} + O(q^{8})96a1 rank 0
97.2.a.a33qโˆ’4q2โˆ’4q3+4q4โˆ’3q5+3q6โˆ’7q7+O(q8)3q - 4q^{2} - 4q^{3} + 4q^{4} - 3q^{5} + 3q^{6} - 7q^{7} + O(q^{8})โˆ’1-1
97.2.a.b44q+3q2+3q4+q5โˆ’q6+3q7+O(q8)4q + 3q^{2} + 3q^{4} + q^{5} - q^{6} + 3q^{7} + O(q^{8})+1+1
98.2.a.a1qโˆ’q2+2q3+q4โˆ’2q6+O(q8)q - q^{2} + 2q^{3} + q^{4} - 2q^{6} + O(q^{8})98a1 rank 0
98.2.a.b22q+2q2+2q4+O(q8)2q + 2q^{2} + 2q^{4} + O(q^{8})
99.2.a.a1qโˆ’q2โˆ’q4โˆ’4q5โˆ’2q7+O(q8)q - q^{2} - q^{4} - 4q^{5} - 2q^{7} + O(q^{8})99a1 rank 1
99.2.a.b1qโˆ’q2โˆ’q4+2q5+4q7+O(q8)q - q^{2} - q^{4} + 2q^{5} + 4q^{7} + O(q^{8})99b1 rank 0
99.2.a.c1q+q2โˆ’q4+4q5โˆ’2q7+O(q8)q + q^{2} - q^{4} + 4q^{5} - 2q^{7} + O(q^{8})99c1 rank 0
99.2.a.d1q+2q2+2q4โˆ’q5โˆ’2q7+O(q8)q + 2q^{2} + 2q^{4} - q^{5} - 2q^{7} + O(q^{8})99d1 rank 0
100.2.a.a1q+2q3โˆ’2q7+O(q8)q + 2q^{3} - 2q^{7} + O(q^{8})100a1 rank 0
101.2.a.a1qโˆ’2q3โˆ’2q4โˆ’q5โˆ’2q7+O(q8)q - 2q^{3} - 2q^{4} - q^{5} - 2q^{7} + O(q^{8})โˆ’1-1101a1 rank 1
101.2.a.b77q+4q3+12q4โˆ’3q5โˆ’6q6+2q7+O(q8)7q + 4q^{3} + 12q^{4} - 3q^{5} - 6q^{6} + 2q^{7} + O(q^{8})+1+1
102.2.a.a1qโˆ’q2โˆ’q3+q4โˆ’4q5+q6โˆ’2q7+O(q8)q - q^{2} - q^{3} + q^{4} - 4q^{5} + q^{6} - 2q^{7} + O(q^{8})โˆ’1-1102a1 rank 1
102.2.a.b1qโˆ’q2+q3+q4โˆ’q6+2q7+O(q8)q - q^{2} + q^{3} + q^{4} - q^{6} + 2q^{7} + O(q^{8})+1+1102c1 rank 0
102.2.a.c1q+q2+q3+q4โˆ’2q5+q6+O(q8)q + q^{2} + q^{3} + q^{4} - 2q^{5} + q^{6} + O(q^{8})+1+1102b1 rank 0
103.2.a.a22qโˆ’3q2โˆ’2q3+3q4โˆ’3q5+3q6โˆ’2q7+O(q8)2q - 3q^{2} - 2q^{3} + 3q^{4} - 3q^{5} + 3q^{6} - 2q^{7} + O(q^{8})โˆ’1-1
103.2.a.b66q+4q2+6q4+3q5โˆ’3q6โˆ’2q7+O(q8)6q + 4q^{2} + 6q^{4} + 3q^{5} - 3q^{6} - 2q^{7} + O(q^{8})+1+1
104.2.a.a1q+q3โˆ’q5+5q7+O(q8)q + q^{3} - q^{5} + 5q^{7} + O(q^{8})104a1 rank 0
104.2.a.b22q+q3+3q5โˆ’q7+O(q8)2q + q^{3} + 3q^{5} - q^{7} + O(q^{8})
105.2.a.a1q+q2+q3โˆ’q4+q5+q6+q7+O(q8)q + q^{2} + q^{3} - q^{4} + q^{5} + q^{6} + q^{7} + O(q^{8})+1+1105a1 rank 0
105.2.a.b22qโˆ’2q3+6q4โˆ’2q5+2q7+O(q8)2q - 2q^{3} + 6q^{4} - 2q^{5} + 2q^{7} + O(q^{8})+1+1
106.2.a.a1qโˆ’q2โˆ’q3+q4โˆ’4q5+q6+O(q8)q - q^{2} - q^{3} + q^{4} - 4q^{5} + q^{6} + O(q^{8})โˆ’1-1106b1 rank 1
106.2.a.b1qโˆ’q2+2q3+q4+q5โˆ’2q6โˆ’2q7+O(q8)q - q^{2} + 2q^{3} + q^{4} + q^{5} - 2q^{6} - 2q^{7} + O(q^{8})+1+1106d1 rank 0
106.2.a.c1q+q2โˆ’2q3+q4+3q5โˆ’2q6+2q7+O(q8)q + q^{2} - 2q^{3} + q^{4} + 3q^{5} - 2q^{6} + 2q^{7} + O(q^{8})+1+1106a1 rank 0
106.2.a.d1q+q2+q3+q4+q6โˆ’4q7+O(q8)q + q^{2} + q^{3} + q^{4} + q^{6} - 4q^{7} + O(q^{8})+1+1106c1 rank 0
107.2.a.a22qโˆ’q2โˆ’3q3โˆ’q4โˆ’3q5โˆ’q6โˆ’4q7+O(q8)2q - q^{2} - 3q^{3} - q^{4} - 3q^{5} - q^{6} - 4q^{7} + O(q^{8})โˆ’1-1
107.2.a.b77qโˆ’q2+3q3+7q4+5q5โˆ’5q6+4q7+O(q8)7q - q^{2} + 3q^{3} + 7q^{4} + 5q^{5} - 5q^{6} + 4q^{7} + O(q^{8})+1+1
108.2.a.a1q+5q7+O(q8)q + 5q^{7} + O(q^{8})Q(โˆ’3)\mathbb{Q}(\sqrt{-3})108a1 rank 0
109.2.a.a1q+q2โˆ’q4+3q5+2q7+O(q8)q + q^{2} - q^{4} + 3q^{5} + 2q^{7} + O(q^{8})+1+1109a1 rank 0
109.2.a.b33qโˆ’2q2โˆ’4q3โˆ’6q5โˆ’2q6โˆ’q7+O(q8)3q - 2q^{2} - 4q^{3} - 6q^{5} - 2q^{6} - q^{7} + O(q^{8})โˆ’1-1
109.2.a.c44qโˆ’q2+4q3+3q4+q5โˆ’3q7+O(q8)4q - q^{2} + 4q^{3} + 3q^{4} + q^{5} - 3q^{7} + O(q^{8})+1+1
110.2.a.a1qโˆ’q2+q3+q4โˆ’q5โˆ’q6+5q7+O(q8)q - q^{2} + q^{3} + q^{4} - q^{5} - q^{6} + 5q^{7} + O(q^{8})+1+1110c1 rank 0
110.2.a.b1q+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+1110a1 rank 0
110.2.a.c1q+q2+q3+q4โˆ’q5+q6โˆ’q7+O(q8)q + q^{2} + q^{3} + q^{4} - q^{5} + q^{6} - q^{7} + O(q^{8})+1+1110b1 rank 0
110.2.a.d22qโˆ’2q2โˆ’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
111.2.a.a33q+3q2โˆ’3q3+5q4+4q5โˆ’3q6โˆ’4q7+O(q8)3q + 3q^{2} - 3q^{3} + 5q^{4} + 4q^{5} - 3q^{6} - 4q^{7} + O(q^{8})+1+1
111.2.a.b44q+4q3+4q4โˆ’2q5+4q7+O(q8)4q + 4q^{3} + 4q^{4} - 2q^{5} + 4q^{7} + O(q^{8})+1+1
112.2.a.a1qโˆ’2q3โˆ’4q5โˆ’q7+O(q8)q - 2q^{3} - 4q^{5} - q^{7} + O(q^{8})112a1 rank 1
112.2.a.b1q+2q5+q7+O(q8)q + 2q^{5} + q^{7} + O(q^{8})112b1 rank 0
112.2.a.c1q+2q3โˆ’q7+O(q8)q + 2q^{3} - q^{7} + O(q^{8})112c1 rank 0
113.2.a.a1qโˆ’q2+2q3โˆ’q4+2q5โˆ’2q6+O(q8)q - q^{2} + 2q^{3} - q^{4} + 2q^{5} - 2q^{6} + O(q^{8})+1+1113a1 rank 0
113.2.a.b22q+2q2+2q3โˆ’2q4+2q6+8q7+O(q8)2q + 2q^{2} + 2q^{3} - 2q^{4} + 2q^{6} + 8q^{7} + O(q^{8})+1+1
113.2.a.c33qโˆ’2q2โˆ’5q3โˆ’q5+q6โˆ’10q7+O(q8)3q - 2q^{2} - 5q^{3} - q^{5} + q^{6} - 10q^{7} + O(q^{8})โˆ’1-1
113.2.a.d33qโˆ’2q2โˆ’q3+8q4โˆ’3q5โˆ’q6+6q7+O(q8)3q - 2q^{2} - q^{3} + 8q^{4} - 3q^{5} - q^{6} + 6q^{7} + O(q^{8})+1+1
114.2.a.a1qโˆ’q2โˆ’q3+q4+q6+4q7+O(q8)q - q^{2} - q^{3} + q^{4} + q^{6} + 4q^{7} + O(q^{8})+1+1114b1 rank 0
114.2.a.b1q+q2โˆ’q3+q4+2q5โˆ’q6+O(q8)q + q^{2} - q^{3} + q^{4} + 2q^{5} - q^{6} + O(q^{8})+1+1114c1 rank 0
114.2.a.c1q+q2+q3+q4+q6โˆ’4q7+O(q8)q + q^{2} + q^{3} + q^{4} + q^{6} - 4q^{7} + O(q^{8})+1+1114a1 rank 0
115.2.a.a1q+2q2+2q4โˆ’q5+q7+O(q8)q + 2q^{2} + 2q^{4} - q^{5} + q^{7} + O(q^{8})+1+1115a1 rank 0
115.2.a.b22qโˆ’3q2โˆ’2q3+3q4โˆ’2q5+3q6โˆ’2q7+O(q8)2q - 3q^{2} - 2q^{3} + 3q^{4} - 2q^{5} + 3q^{6} - 2q^{7} + O(q^{8})โˆ’1-1
115.2.a.c44q+2q2โˆ’2q3+4q4+4q5โˆ’q6โˆ’3q7+O(q8)4q + 2q^{2} - 2q^{3} + 4q^{4} + 4q^{5} - q^{6} - 3q^{7} + O(q^{8})+1+1
116.2.a.a1qโˆ’3q3+3q5+4q7+O(q8)q - 3q^{3} + 3q^{5} + 4q^{7} + O(q^{8})116a1 rank 0
116.2.a.b1q+q3+3q5โˆ’4q7+O(q8)q + q^{3} + 3q^{5} - 4q^{7} + O(q^{8})116b1 rank 0
116.2.a.c1q+2q3โˆ’2q5+4q7+O(q8)q + 2q^{3} - 2q^{5} + 4q^{7} + O(q^{8})116c1 rank 0
117.2.a.a1qโˆ’q2โˆ’q4โˆ’2q5โˆ’4q7+O(q8)q - q^{2} - q^{4} - 2q^{5} - 4q^{7} + O(q^{8})117a1 rank 1
117.2.a.b22q+2q4+4q7+O(q8)2q + 2q^{4} + 4q^{7} + O(q^{8})
117.2.a.c22q+2q2+2q4+O(q8)2q + 2q^{2} + 2q^{4} + O(q^{8})
118.2.a.a1qโˆ’q2โˆ’q3+q4โˆ’3q5+q6โˆ’q7+O(q8)q - q^{2} - q^{3} + q^{4} - 3q^{5} + q^{6} - q^{7} + O(q^{8})โˆ’1-1118a1 rank 1
118.2.a.b1qโˆ’q2+2q3+q4+2q5โˆ’2q6โˆ’3q7+O(q8)q - q^{2} + 2q^{3} + q^{4} + 2q^{5} - 2q^{6} - 3q^{7} + O(q^{8})+1+1118d1 rank 0
118.2.a.c1q+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+1118b1 rank 0
118.2.a.d1q+q2+2q3+q4โˆ’2q5+2q6โˆ’3q7+O(q8)q + q^{2} + 2q^{3} + q^{4} - 2q^{5} + 2q^{6} - 3q^{7} + O(q^{8})+1+1118c1 rank 0
119.2.a.a44qโˆ’q2+2q3+3q4+2q5+q6+4q7+O(q8)4q - q^{2} + 2q^{3} + 3q^{4} + 2q^{5} + q^{6} + 4q^{7} + O(q^{8})+1+1
119.2.a.b55q+2q2โˆ’2q3+10q4โˆ’q6โˆ’5q7+O(q8)5q + 2q^{2} - 2q^{3} + 10q^{4} - q^{6} - 5q^{7} + O(q^{8})+1+1
120.2.a.a1q+q3โˆ’q5+4q7+O(q8)q + q^{3} - q^{5} + 4q^{7} + O(q^{8})120b1 rank 0
120.2.a.b1q+q3+q5+O(q8)q + q^{3} + q^{5} + O(q^{8})120a1 rank 0
121.2.a.a1qโˆ’q2+2q3โˆ’q4+q5โˆ’2q6+2q7+O(q8)q - q^{2} + 2q^{3} - q^{4} + q^{5} - 2q^{6} + 2q^{7} + O(q^{8})121a1 rank 0
121.2.a.b1qโˆ’q3โˆ’2q4โˆ’3q5+O(q8)q - q^{3} - 2q^{4} - 3q^{5} + O(q^{8})Q(โˆ’11)\mathbb{Q}(\sqrt{-11})121b1 rank 1
121.2.a.c1q+q2+2q3โˆ’q4+q5+2q6โˆ’2q7+O(q8)q + q^{2} + 2q^{3} - q^{4} + q^{5} + 2q^{6} - 2q^{7} + O(q^{8})121c1 rank 0

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