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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
920.1.p.a \(2\) \(0.459\) \(\Q(\sqrt{5}) \) \(\Q(\sqrt{-230}) \) None \(-2\) \(1\) \(-2\) \(-1\) \(q-q^{2}+\beta q^{3}+q^{4}-q^{5}-\beta q^{6}+(-1+\cdots)q^{7}+\cdots\)
920.1.p.b \(2\) \(0.459\) \(\Q(\sqrt{5}) \) \(\Q(\sqrt{-230}) \) None \(-2\) \(1\) \(2\) \(1\) \(q-q^{2}+(1-\beta )q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots\)
920.1.p.c \(2\) \(0.459\) \(\Q(\sqrt{5}) \) \(\Q(\sqrt{-230}) \) None \(2\) \(-1\) \(-2\) \(1\) \(q+q^{2}+(-1+\beta )q^{3}+q^{4}-q^{5}+(-1+\cdots)q^{6}+\cdots\)
920.1.p.d \(2\) \(0.459\) \(\Q(\sqrt{5}) \) \(\Q(\sqrt{-230}) \) None \(2\) \(-1\) \(2\) \(-1\) \(q+q^{2}-\beta q^{3}+q^{4}+q^{5}-\beta q^{6}+(-1+\cdots)q^{7}+\cdots\)
920.1.p.e \(4\) \(0.459\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-46}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}^{2}q^{2}-q^{4}-\zeta_{8}q^{5}+\zeta_{8}^{2}q^{8}+\cdots\)
920.1.bh.a \(10\) \(0.459\) \(\Q(\zeta_{22})\) \(\Q(\sqrt{-10}) \) None \(-1\) \(0\) \(-1\) \(-2\) \(q-\zeta_{22}q^{2}+\zeta_{22}^{2}q^{4}+\zeta_{22}^{6}q^{5}+(-\zeta_{22}^{3}+\cdots)q^{7}+\cdots\)
920.1.bh.b \(10\) \(0.459\) \(\Q(\zeta_{22})\) \(\Q(\sqrt{-10}) \) None \(1\) \(0\) \(1\) \(2\) \(q+\zeta_{22}q^{2}+\zeta_{22}^{2}q^{4}-\zeta_{22}^{6}q^{5}+(\zeta_{22}^{3}+\cdots)q^{7}+\cdots\)
920.2.a.a \(1\) \(7.346\) \(\Q\) None None \(0\) \(-3\) \(1\) \(-2\) \(+\) \(q-3q^{3}+q^{5}-2q^{7}+6q^{9}+q^{13}+\cdots\)
920.2.a.b \(1\) \(7.346\) \(\Q\) None None \(0\) \(-1\) \(1\) \(0\) \(+\) \(q-q^{3}+q^{5}-2q^{9}+2q^{11}-5q^{13}+\cdots\)
920.2.a.c \(1\) \(7.346\) \(\Q\) None None \(0\) \(0\) \(1\) \(1\) \(+\) \(q+q^{5}+q^{7}-3q^{9}-6q^{11}-2q^{13}+\cdots\)
920.2.a.d \(1\) \(7.346\) \(\Q\) None None \(0\) \(1\) \(-1\) \(-2\) \(+\) \(q+q^{3}-q^{5}-2q^{7}-2q^{9}+q^{13}-q^{15}+\cdots\)
920.2.a.e \(2\) \(7.346\) \(\Q(\sqrt{17}) \) None None \(0\) \(-1\) \(-2\) \(-1\) \(+\) \(q-\beta q^{3}-q^{5}+(-1+\beta )q^{7}+(1+\beta )q^{9}+\cdots\)
920.2.a.f \(2\) \(7.346\) \(\Q(\sqrt{17}) \) None None \(0\) \(1\) \(2\) \(2\) \(-\) \(q+\beta q^{3}+q^{5}+2\beta q^{7}+(1+\beta )q^{9}-4q^{11}+\cdots\)
920.2.a.g \(3\) \(7.346\) 3.3.621.1 None None \(0\) \(0\) \(-3\) \(3\) \(-\) \(q+\beta _{1}q^{3}-q^{5}+(1+\beta _{1})q^{7}+(1+\beta _{1}+\cdots)q^{9}+\cdots\)
920.2.a.h \(3\) \(7.346\) 3.3.2597.1 None None \(0\) \(1\) \(3\) \(2\) \(-\) \(q+\beta _{1}q^{3}+q^{5}+(1-\beta _{1})q^{7}+(3+\beta _{2})q^{9}+\cdots\)
920.2.a.i \(3\) \(7.346\) 3.3.229.1 None None \(0\) \(2\) \(3\) \(7\) \(-\) \(q+(1+\beta _{2})q^{3}+q^{5}+(2-\beta _{2})q^{7}+(1+\cdots)q^{9}+\cdots\)
920.2.a.j \(5\) \(7.346\) 5.5.13955077.1 None None \(0\) \(0\) \(-5\) \(-2\) \(-\) \(q+\beta _{1}q^{3}-q^{5}+(-\beta _{3}-\beta _{4})q^{7}+(2+\cdots)q^{9}+\cdots\)
920.2.b.a \(4\) \(7.346\) \(\Q(\sqrt{2}, \sqrt{-5})\) \(\Q(\sqrt{-10}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{1}q^{2}+2q^{4}-\beta _{3}q^{5}-2\beta _{3}q^{7}+\cdots\)
920.2.b.b \(136\) \(7.346\) None None \(0\) \(0\) \(0\) \(0\)
920.2.e.a \(2\) \(7.346\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(4\) \(0\) \(q+2iq^{3}+(2-i)q^{5}-3iq^{7}-q^{9}+\cdots\)
920.2.e.b \(14\) \(7.346\) \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None None \(0\) \(0\) \(2\) \(0\) \(q-\beta _{8}q^{3}+\beta _{3}q^{5}+(\beta _{7}-\beta _{13})q^{7}+(1+\cdots)q^{9}+\cdots\)
920.2.e.c \(16\) \(7.346\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(0\) \(0\) \(-2\) \(0\) \(q-\beta _{5}q^{3}-\beta _{7}q^{5}+(-\beta _{2}+\beta _{13})q^{7}+\cdots\)
920.2.f.a \(2\) \(7.346\) \(\Q(\sqrt{-1}) \) None None \(2\) \(0\) \(0\) \(0\) \(q+(1+i)q^{2}+2iq^{4}+iq^{5}+(-2+2i)q^{8}+\cdots\)
920.2.f.b \(8\) \(7.346\) 8.0.1871773696.1 None None \(0\) \(0\) \(0\) \(4\) \(q-\beta _{6}q^{2}+(\beta _{1}+\beta _{3})q^{3}-2q^{4}-\beta _{1}q^{5}+\cdots\)
920.2.f.c \(30\) \(7.346\) None None \(0\) \(0\) \(0\) \(-4\)
920.2.f.d \(48\) \(7.346\) None None \(-2\) \(0\) \(0\) \(0\)
920.2.j.a \(132\) \(7.346\) None None \(0\) \(0\) \(0\) \(0\)
920.2.n.a \(48\) \(7.346\) None None \(-2\) \(0\) \(-48\) \(0\)
920.2.n.b \(48\) \(7.346\) None None \(-2\) \(0\) \(48\) \(0\)
920.2.q.a \(72\) \(7.346\) None None \(0\) \(0\) \(0\) \(0\)
920.2.v.a \(264\) \(7.346\) None None \(0\) \(0\) \(0\) \(0\)
920.2.x.a \(8\) \(7.346\) 8.0.\(\cdots\).4 \(\Q(\sqrt{-46}) \) None \(-8\) \(0\) \(0\) \(0\) \(q+(-1+\beta _{4})q^{2}-2\beta _{4}q^{4}+\beta _{1}q^{5}+\cdots\)
920.2.x.b \(8\) \(7.346\) 8.0.\(\cdots\).4 \(\Q(\sqrt{-46}) \) None \(8\) \(0\) \(0\) \(0\) \(q+(1-\beta _{3})q^{2}-2\beta _{3}q^{4}-\beta _{4}q^{5}+(-2+\cdots)q^{8}+\cdots\)
920.2.x.c \(264\) \(7.346\) None None \(-4\) \(0\) \(0\) \(0\)
920.2.y.a \(50\) \(7.346\) None None \(0\) \(1\) \(5\) \(9\)
920.2.y.b \(60\) \(7.346\) None None \(0\) \(-1\) \(-6\) \(18\)
920.2.y.c \(60\) \(7.346\) None None \(0\) \(-1\) \(6\) \(-7\)
920.2.y.d \(70\) \(7.346\) None None \(0\) \(1\) \(-7\) \(-20\)
920.2.bb.a \(480\) \(7.346\) None None \(2\) \(0\) \(-48\) \(0\)
920.2.bb.b \(480\) \(7.346\) None None \(2\) \(0\) \(48\) \(0\)
920.2.bf.a \(1400\) \(7.346\) None None \(0\) \(0\) \(0\) \(0\)
920.2.bj.a \(960\) \(7.346\) None None \(4\) \(0\) \(0\) \(8\)
920.2.bk.a \(360\) \(7.346\) None None \(0\) \(0\) \(0\) \(0\)
920.2.bn.a \(40\) \(7.346\) \(\Q(\sqrt{-10}) \) None \(0\) \(0\) \(0\) \(0\)
920.2.bn.b \(1360\) \(7.346\) None None \(0\) \(0\) \(0\) \(0\)
920.2.bo.a \(2800\) \(7.346\) None None \(-18\) \(0\) \(0\) \(-44\)
920.2.bq.a \(2800\) \(7.346\) None None \(-18\) \(-36\) \(0\) \(0\)
920.2.bv.a \(720\) \(7.346\) None None \(0\) \(0\) \(0\) \(0\)
920.3.g.a \(72\) \(25.068\) None None \(0\) \(0\) \(0\) \(0\)
920.3.k.a \(48\) \(25.068\) None None \(0\) \(0\) \(0\) \(0\)
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