๐ŸŒฟ Sagebrush Atlas
Atlas โ€บ Modular forms โ€บ Level 99

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20 orbits; showing 1โ€“20 ยท JSON

LabelDimTrace formSignCMCurve
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
99.4.a.a1q+q2โˆ’7q4+4q5โˆ’26q7+O(q8)q + q^{2} - 7q^{4} + 4q^{5} - 26q^{7} + O(q^{8})
99.4.a.b1q+5q2+17q4+14q5โˆ’32q7+O(q8)q + 5q^{2} + 17q^{4} + 14q^{5} - 32q^{7} + O(q^{8})
99.4.a.c22qโˆ’2q2โˆ’8q4โˆ’2q5+20q7+O(q8)2q - 2q^{2} - 8q^{4} - 2q^{5} + 20q^{7} + O(q^{8})
99.4.a.d22qโˆ’2q2+10q4โˆ’20q5โˆ’16q7+O(q8)2q - 2q^{2} + 10q^{4} - 20q^{5} - 16q^{7} + O(q^{8})
99.4.a.e22qโˆ’q2+q4โˆ’16q5+2q7+O(q8)2q - q^{2} + q^{4} - 16q^{5} + 2q^{7} + O(q^{8})
99.4.a.f22qโˆ’q2+33q4+14q5+24q7+O(q8)2q - q^{2} + 33q^{4} + 14q^{5} + 24q^{7} + O(q^{8})
99.4.a.g22q+2q2+10q4+20q5โˆ’16q7+O(q8)2q + 2q^{2} + 10q^{4} + 20q^{5} - 16q^{7} + O(q^{8})
99.6.a.a1qโˆ’q2โˆ’31q4+92q5โˆ’26q7+O(q8)q - q^{2} - 31q^{4} + 92q^{5} - 26q^{7} + O(q^{8})
99.6.a.b1q+2q2โˆ’28q4โˆ’46q5+148q7+O(q8)q + 2q^{2} - 28q^{4} - 46q^{5} + 148q^{7} + O(q^{8})
99.6.a.c1q+4q2โˆ’16q4+19q5+10q7+O(q8)q + 4q^{2} - 16q^{4} + 19q^{5} + 10q^{7} + O(q^{8})
99.6.a.d22qโˆ’13q2+37q4โˆ’58q5+146q7+O(q8)2q - 13q^{2} + 37q^{4} - 58q^{5} + 146q^{7} + O(q^{8})
99.6.a.e22qโˆ’q2+93q4+38q5โˆ’18q7+O(q8)2q - q^{2} + 93q^{4} + 38q^{5} - 18q^{7} + O(q^{8})
99.6.a.f22q+5q2+37q4โˆ’58q5โˆ’286q7+O(q8)2q + 5q^{2} + 37q^{4} - 58q^{5} - 286q^{7} + O(q^{8})
99.6.a.g33q+84q4โˆ’24q5+84q7+O(q8)3q + 84q^{4} - 24q^{5} + 84q^{7} + O(q^{8})
99.6.a.h55qโˆ’4q2+102q4โˆ’100q5โˆ’18q7+O(q8)5q - 4q^{2} + 102q^{4} - 100q^{5} - 18q^{7} + O(q^{8})
99.6.a.i55q+4q2+102q4+100q5โˆ’18q7+O(q8)5q + 4q^{2} + 102q^{4} + 100q^{5} - 18q^{7} + O(q^{8})