๐ŸŒฟ Sagebrush Atlas
Atlas โ€บ Modular forms โ€บ Search

Search newform orbits

5951 orbits; showing 301โ€“400 ยท JSON

LabelDimTrace formSignCMCurve
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
167.2.a.a22qโˆ’q2โˆ’q3โˆ’q4โˆ’2q5โˆ’2q6โˆ’5q7+O(q8)2q - q^{2} - q^{3} - q^{4} - 2q^{5} - 2q^{6} - 5q^{7} + O(q^{8})โˆ’1-1
167.2.a.b1212q+2q2+3q3+14q4+4q5โˆ’6q6+11q7+O(q8)12q + 2q^{2} + 3q^{3} + 14q^{4} + 4q^{5} - 6q^{6} + 11q^{7} + O(q^{8})+1+1
168.2.a.a1qโˆ’q3+2q5+q7+O(q8)q - q^{3} + 2q^{5} + q^{7} + O(q^{8})168b1 rank 0
168.2.a.b1q+q3+2q5โˆ’q7+O(q8)q + q^{3} + 2q^{5} - q^{7} + O(q^{8})168a1 rank 0
169.2.a.a22q+4q3+2q4+O(q8)2q + 4q^{3} + 2q^{4} + O(q^{8})
169.2.a.b33qโˆ’2q2โˆ’2q3โˆ’4q5โˆ’q6โˆ’3q7+O(q8)3q - 2q^{2} - 2q^{3} - 4q^{5} - q^{6} - 3q^{7} + O(q^{8})
169.2.a.c33q+2q2โˆ’2q3+4q5+q6+3q7+O(q8)3q + 2q^{2} - 2q^{3} + 4q^{5} + q^{6} + 3q^{7} + O(q^{8})
170.2.a.a1qโˆ’q2โˆ’2q3+q4โˆ’q5+2q6+2q7+O(q8)q - q^{2} - 2q^{3} + q^{4} - q^{5} + 2q^{6} + 2q^{7} + O(q^{8})+1+1170b1 rank 0
170.2.a.b1qโˆ’q2โˆ’2q3+q4+q5+2q6โˆ’2q7+O(q8)q - q^{2} - 2q^{3} + q^{4} + q^{5} + 2q^{6} - 2q^{7} + O(q^{8})โˆ’1-1170a1 rank 1
170.2.a.c1qโˆ’q2+q3+q4+q5โˆ’q6+2q7+O(q8)q - q^{2} + q^{3} + q^{4} + q^{5} - q^{6} + 2q^{7} + O(q^{8})+1+1170d1 rank 0
170.2.a.d1qโˆ’q2+3q3+q4โˆ’q5โˆ’3q6+2q7+O(q8)q - q^{2} + 3q^{3} + q^{4} - q^{5} - 3q^{6} + 2q^{7} + O(q^{8})+1+1170e1 rank 0
170.2.a.e1q+q2+q3+q4โˆ’q5+q6+2q7+O(q8)q + q^{2} + q^{3} + q^{4} - q^{5} + q^{6} + 2q^{7} + O(q^{8})+1+1170c1 rank 0
170.2.a.f22q+2q2โˆ’q3+2q4+2q5โˆ’q6+2q7+O(q8)2q + 2q^{2} - q^{3} + 2q^{4} + 2q^{5} - q^{6} + 2q^{7} + O(q^{8})+1+1
171.2.a.a1qโˆ’q2โˆ’q4+2q5+O(q8)q - q^{2} - q^{4} + 2q^{5} + O(q^{8})171a1 rank 0
171.2.a.b1qโˆ’2q4โˆ’3q5โˆ’q7+O(q8)q - 2q^{4} - 3q^{5} - q^{7} + O(q^{8})171b1 rank 1
171.2.a.c1q+2q2+2q4โˆ’q5+3q7+O(q8)q + 2q^{2} + 2q^{4} - q^{5} + 3q^{7} + O(q^{8})171c1 rank 0
171.2.a.d1q+2q2+2q4+3q5โˆ’5q7+O(q8)q + 2q^{2} + 2q^{4} + 3q^{5} - 5q^{7} + O(q^{8})171d1 rank 0
171.2.a.e44q+10q4+2q7+O(q8)4q + 10q^{4} + 2q^{7} + O(q^{8})
172.2.a.a1qโˆ’2q3โˆ’4q7+O(q8)q - 2q^{3} - 4q^{7} + O(q^{8})172a1 rank 1
172.2.a.b22q+4q3+O(q8)2q + 4q^{3} + O(q^{8})
173.2.a.a44qโˆ’q2โˆ’6q3โˆ’q4โˆ’q5โˆ’9q7+O(q8)4q - q^{2} - 6q^{3} - q^{4} - q^{5} - 9q^{7} + O(q^{8})โˆ’1-1
173.2.a.b1010q+q2+8q3+13q4+q5โˆ’6q6+11q7+O(q8)10q + q^{2} + 8q^{3} + 13q^{4} + q^{5} - 6q^{6} + 11q^{7} + O(q^{8})+1+1
174.2.a.a1qโˆ’q2โˆ’q3+q4+3q5+q6โˆ’3q7+O(q8)q - q^{2} - q^{3} + q^{4} + 3q^{5} + q^{6} - 3q^{7} + O(q^{8})+1+1174e1 rank 0
174.2.a.b1qโˆ’q2+q3+q4โˆ’3q5โˆ’q6+5q7+O(q8)q - q^{2} + q^{3} + q^{4} - 3q^{5} - q^{6} + 5q^{7} + O(q^{8})+1+1174a1 rank 0
174.2.a.c1qโˆ’q2+q3+q4+2q5โˆ’q6+O(q8)q - q^{2} + q^{3} + q^{4} + 2q^{5} - q^{6} + O(q^{8})+1+1174d1 rank 0
174.2.a.d1q+q2โˆ’q3+q4+q5โˆ’q6+q7+O(q8)q + q^{2} - q^{3} + q^{4} + q^{5} - q^{6} + q^{7} + O(q^{8})+1+1174c1 rank 0
174.2.a.e1q+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+1174b1 rank 0
175.2.a.a1qโˆ’2q2โˆ’q3+2q4+2q6+q7+O(q8)q - 2q^{2} - q^{3} + 2q^{4} + 2q^{6} + q^{7} + O(q^{8})175a1 rank 1
175.2.a.b1qโˆ’q3โˆ’2q4โˆ’q7+O(q8)q - q^{3} - 2q^{4} - q^{7} + O(q^{8})175b1 rank 1
175.2.a.c1q+2q2+q3+2q4+2q6โˆ’q7+O(q8)q + 2q^{2} + q^{3} + 2q^{4} + 2q^{6} - q^{7} + O(q^{8})175c1 rank 0
175.2.a.d22qโˆ’q2+2q3โˆ’q4+4q6โˆ’2q7+O(q8)2q - q^{2} + 2q^{3} - q^{4} + 4q^{6} - 2q^{7} + O(q^{8})
175.2.a.e22q+q2โˆ’2q3โˆ’q4+4q6+2q7+O(q8)2q + q^{2} - 2q^{3} - q^{4} + 4q^{6} + 2q^{7} + O(q^{8})
175.2.a.f22q+q2+q3+5q4โˆ’8q6+2q7+O(q8)2q + q^{2} + q^{3} + 5q^{4} - 8q^{6} + 2q^{7} + O(q^{8})
176.2.a.a1qโˆ’q3โˆ’3q5โˆ’2q7+O(q8)q - q^{3} - 3q^{5} - 2q^{7} + O(q^{8})176c1 rank 1
176.2.a.b1q+q3+q5+2q7+O(q8)q + q^{3} + q^{5} + 2q^{7} + O(q^{8})176b1 rank 0
176.2.a.c1q+3q3โˆ’3q5+2q7+O(q8)q + 3q^{3} - 3q^{5} + 2q^{7} + O(q^{8})176a1 rank 0
176.2.a.d22qโˆ’q3+3q5+2q7+O(q8)2q - q^{3} + 3q^{5} + 2q^{7} + O(q^{8})
177.2.a.a22qโˆ’3q2+2q3+3q4โˆ’6q5โˆ’3q6โˆ’7q7+O(q8)2q - 3q^{2} + 2q^{3} + 3q^{4} - 6q^{5} - 3q^{6} - 7q^{7} + O(q^{8})โˆ’1-1
177.2.a.b22qโˆ’q2โˆ’2q3โˆ’q4+q6โˆ’7q7+O(q8)2q - q^{2} - 2q^{3} - q^{4} + q^{6} - 7q^{7} + O(q^{8})โˆ’1-1
177.2.a.c22q+q2+2q3โˆ’q4+2q5+q6+q7+O(q8)2q + q^{2} + 2q^{3} - q^{4} + 2q^{5} + q^{6} + q^{7} + O(q^{8})+1+1
177.2.a.d33qโˆ’3q3+2q4โˆ’2q5+9q7+O(q8)3q - 3q^{3} + 2q^{4} - 2q^{5} + 9q^{7} + O(q^{8})+1+1
178.2.a.a1qโˆ’q2+2q3+q4+2q5โˆ’2q6+O(q8)q - q^{2} + 2q^{3} + q^{4} + 2q^{5} - 2q^{6} + O(q^{8})+1+1178b1 rank 0
178.2.a.b1q+q2+q3+q4+3q5+q6โˆ’4q7+O(q8)q + q^{2} + q^{3} + q^{4} + 3q^{5} + q^{6} - 4q^{7} + O(q^{8})+1+1178a1 rank 0
178.2.a.c22qโˆ’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
178.2.a.d33q+3q2+q3+3q4โˆ’q5+q6+O(q8)3q + 3q^{2} + q^{3} + 3q^{4} - q^{5} + q^{6} + O(q^{8})+1+1
179.2.a.a1q+2q2+2q4+3q5โˆ’4q7+O(q8)q + 2q^{2} + 2q^{4} + 3q^{5} - 4q^{7} + O(q^{8})+1+1179a1 rank 0
179.2.a.b33qโˆ’q2โˆ’2q3โˆ’q4โˆ’4q5โˆ’4q6โˆ’4q7+O(q8)3q - q^{2} - 2q^{3} - q^{4} - 4q^{5} - 4q^{6} - 4q^{7} + O(q^{8})โˆ’1-1
179.2.a.c1111qโˆ’3q2+15q4+3q5+8q7+O(q8)11q - 3q^{2} + 15q^{4} + 3q^{5} + 8q^{7} + O(q^{8})+1+1
180.2.a.a1q+q5+2q7+O(q8)q + q^{5} + 2q^{7} + O(q^{8})180a1 rank 0
181.2.a.a55qโˆ’3q2โˆ’5q3+q4โˆ’5q5โˆ’2q6โˆ’2q7+O(q8)5q - 3q^{2} - 5q^{3} + q^{4} - 5q^{5} - 2q^{6} - 2q^{7} + O(q^{8})โˆ’1-1
181.2.a.b99q+3q2+3q3+9q4+q5+2q7+O(q8)9q + 3q^{2} + 3q^{3} + 9q^{4} + q^{5} + 2q^{7} + O(q^{8})+1+1
182.2.a.a1qโˆ’q2+q3+q4+4q5โˆ’q6โˆ’q7+O(q8)q - q^{2} + q^{3} + q^{4} + 4q^{5} - q^{6} - q^{7} + O(q^{8})+1+1182c1 rank 0
182.2.a.b1qโˆ’q2+3q3+q4โˆ’3q6+q7+O(q8)q - q^{2} + 3q^{3} + q^{4} - 3q^{6} + q^{7} + O(q^{8})+1+1182e1 rank 0
182.2.a.c1q+q2+q4+2q5โˆ’q7+O(q8)q + q^{2} + q^{4} + 2q^{5} - q^{7} + O(q^{8})+1+1182a1 rank 0
182.2.a.d1q+q2+q3+q4+q6+q7+O(q8)q + q^{2} + q^{3} + q^{4} + q^{6} + q^{7} + O(q^{8})+1+1182b1 rank 0
182.2.a.e1q+q2+3q3+q4โˆ’4q5+3q6โˆ’q7+O(q8)q + q^{2} + 3q^{3} + q^{4} - 4q^{5} + 3q^{6} - q^{7} + O(q^{8})+1+1182d1 rank 0
183.2.a.a22qโˆ’2q2โˆ’2q3+2q4โˆ’2q5+2q6โˆ’2q7+O(q8)2q - 2q^{2} - 2q^{3} + 2q^{4} - 2q^{5} + 2q^{6} - 2q^{7} + O(q^{8})โˆ’1-1

โ† previous ยท next โ†’