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Label Char Prim Dim $A$ Field CM RM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
920.1.p.a 920.p 920.p $2$ $0.459$ \(\Q(\sqrt{5}) \) \(\Q(\sqrt{-230}) \) 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 920.p 920.p $2$ $0.459$ \(\Q(\sqrt{5}) \) \(\Q(\sqrt{-230}) \) 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 920.p 920.p $2$ $0.459$ \(\Q(\sqrt{5}) \) \(\Q(\sqrt{-230}) \) 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 920.p 920.p $2$ $0.459$ \(\Q(\sqrt{5}) \) \(\Q(\sqrt{-230}) \) 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 920.p 920.p $4$ $0.459$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-46}) \) 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 920.bh 920.ah $10$ $0.459$ \(\Q(\zeta_{22})\) \(\Q(\sqrt{-10}) \) 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 920.bh 920.ah $10$ $0.459$ \(\Q(\zeta_{22})\) \(\Q(\sqrt{-10}) \) 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 920.a 1.a $1$ $7.346$ \(\Q\) None None \(0\) \(-3\) \(1\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q-3q^{3}+q^{5}-2q^{7}+6q^{9}+q^{13}+\cdots\)
920.2.a.b 920.a 1.a $1$ $7.346$ \(\Q\) None None \(0\) \(-1\) \(1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-2q^{9}+2q^{11}-5q^{13}+\cdots\)
920.2.a.c 920.a 1.a $1$ $7.346$ \(\Q\) None None \(0\) \(0\) \(1\) \(1\) $+$ $\mathrm{SU}(2)$ \(q+q^{5}+q^{7}-3q^{9}-6q^{11}-2q^{13}+\cdots\)
920.2.a.d 920.a 1.a $1$ $7.346$ \(\Q\) None None \(0\) \(1\) \(-1\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}-2q^{7}-2q^{9}+q^{13}-q^{15}+\cdots\)
920.2.a.e 920.a 1.a $2$ $7.346$ \(\Q(\sqrt{17}) \) None None \(0\) \(-1\) \(-2\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-\beta q^{3}-q^{5}+(-1+\beta )q^{7}+(1+\beta )q^{9}+\cdots\)
920.2.a.f 920.a 1.a $2$ $7.346$ \(\Q(\sqrt{17}) \) None None \(0\) \(1\) \(2\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+\beta q^{3}+q^{5}+2\beta q^{7}+(1+\beta )q^{9}-4q^{11}+\cdots\)
920.2.a.g 920.a 1.a $3$ $7.346$ 3.3.621.1 None None \(0\) \(0\) \(-3\) \(3\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}-q^{5}+(1+\beta _{1})q^{7}+(1+\beta _{1}+\cdots)q^{9}+\cdots\)
920.2.a.h 920.a 1.a $3$ $7.346$ 3.3.2597.1 None None \(0\) \(1\) \(3\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+q^{5}+(1-\beta _{1})q^{7}+(3+\beta _{2})q^{9}+\cdots\)
920.2.a.i 920.a 1.a $3$ $7.346$ 3.3.229.1 None None \(0\) \(2\) \(3\) \(7\) $-$ $\mathrm{SU}(2)$ \(q+(1+\beta _{2})q^{3}+q^{5}+(2-\beta _{2})q^{7}+(1+\cdots)q^{9}+\cdots\)
920.2.a.j 920.a 1.a $5$ $7.346$ 5.5.13955077.1 None None \(0\) \(0\) \(-5\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}-q^{5}+(-\beta _{3}-\beta _{4})q^{7}+(2+\cdots)q^{9}+\cdots\)
920.2.b.a 920.b 920.b $4$ $7.346$ \(\Q(\sqrt{2}, \sqrt{-5})\) \(\Q(\sqrt{-10}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+\beta _{1}q^{2}+2q^{4}-\beta _{3}q^{5}-2\beta _{3}q^{7}+\cdots\)
920.2.b.b 920.b 920.b $136$ $7.346$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
920.2.e.a 920.e 5.b $2$ $7.346$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+2iq^{3}+(2-i)q^{5}-3iq^{7}-q^{9}+\cdots\)
920.2.e.b 920.e 5.b $14$ $7.346$ \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None None \(0\) \(0\) \(2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{8}q^{3}+\beta _{3}q^{5}+(\beta _{7}-\beta _{13})q^{7}+(1+\cdots)q^{9}+\cdots\)
920.2.e.c 920.e 5.b $16$ $7.346$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(0\) \(0\) \(-2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{5}q^{3}-\beta _{7}q^{5}+(-\beta _{2}+\beta _{13})q^{7}+\cdots\)
920.2.f.a 920.f 8.b $2$ $7.346$ \(\Q(\sqrt{-1}) \) None None \(2\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+(1+i)q^{2}+2iq^{4}+iq^{5}+(-2+2i)q^{8}+\cdots\)
920.2.f.b 920.f 8.b $8$ $7.346$ 8.0.1871773696.1 None None \(0\) \(0\) \(0\) \(4\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{6}q^{2}+(\beta _{1}+\beta _{3})q^{3}-2q^{4}-\beta _{1}q^{5}+\cdots\)
920.2.f.c 920.f 8.b $30$ $7.346$ None None \(0\) \(0\) \(0\) \(-4\) $\mathrm{SU}(2)[C_{2}]$
920.2.f.d 920.f 8.b $48$ $7.346$ None None \(-2\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
920.2.j.a 920.j 40.f $132$ $7.346$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
920.2.n.a 920.n 184.h $48$ $7.346$ None None \(-2\) \(0\) \(-48\) \(0\) $\mathrm{SU}(2)[C_{2}]$
920.2.n.b 920.n 184.h $48$ $7.346$ None None \(-2\) \(0\) \(48\) \(0\) $\mathrm{SU}(2)[C_{2}]$
920.2.q.a 920.q 115.e $72$ $7.346$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$
920.2.v.a 920.v 40.k $264$ $7.346$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$
920.2.x.a 920.x 920.x $8$ $7.346$ 8.0.\(\cdots\).4 \(\Q(\sqrt{-46}) \) None \(-8\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{4}]$ \(q+(-1+\beta _{4})q^{2}-2\beta _{4}q^{4}+\beta _{1}q^{5}+\cdots\)
920.2.x.b 920.x 920.x $8$ $7.346$ 8.0.\(\cdots\).4 \(\Q(\sqrt{-46}) \) None \(8\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{4}]$ \(q+(1-\beta _{3})q^{2}-2\beta _{3}q^{4}-\beta _{4}q^{5}+(-2+\cdots)q^{8}+\cdots\)
920.2.x.c 920.x 920.x $264$ $7.346$ None None \(-4\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$
920.2.y.a 920.y 23.c $50$ $7.346$ None None \(0\) \(1\) \(5\) \(9\) $\mathrm{SU}(2)[C_{11}]$
920.2.y.b 920.y 23.c $60$ $7.346$ None None \(0\) \(-1\) \(-6\) \(18\) $\mathrm{SU}(2)[C_{11}]$
920.2.y.c 920.y 23.c $60$ $7.346$ None None \(0\) \(-1\) \(6\) \(-7\) $\mathrm{SU}(2)[C_{11}]$
920.2.y.d 920.y 23.c $70$ $7.346$ None None \(0\) \(1\) \(-7\) \(-20\) $\mathrm{SU}(2)[C_{11}]$
920.2.bb.a 920.bb 184.j $480$ $7.346$ None None \(2\) \(0\) \(-48\) \(0\) $\mathrm{SU}(2)[C_{22}]$
920.2.bb.b 920.bb 184.j $480$ $7.346$ None None \(2\) \(0\) \(48\) \(0\) $\mathrm{SU}(2)[C_{22}]$
920.2.bf.a 920.bf 920.af $1400$ $7.346$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{22}]$
920.2.bj.a 920.bj 184.p $960$ $7.346$ None None \(4\) \(0\) \(0\) \(8\) $\mathrm{SU}(2)[C_{22}]$
920.2.bk.a 920.bk 115.j $360$ $7.346$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{22}]$
920.2.bn.a 920.bn 920.an $40$ $7.346$ \(\Q(\sqrt{-10}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{22}]$
920.2.bn.b 920.bn 920.an $1360$ $7.346$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{22}]$
920.2.bo.a 920.bo 920.ao $2800$ $7.346$ None None \(-18\) \(0\) \(0\) \(-44\) $\mathrm{SU}(2)[C_{44}]$
920.2.bq.a 920.bq 920.aq $2800$ $7.346$ None None \(-18\) \(-36\) \(0\) \(0\) $\mathrm{SU}(2)[C_{44}]$
920.2.bv.a 920.bv 115.l $720$ $7.346$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{44}]$
920.3.g.a 920.g 115.c $72$ $25.068$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
920.3.k.a 920.k 23.b $48$ $25.068$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
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