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Label Char Prim Dim $A$ Field CM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
930.2.a.a 930.a 1.a $1$ $7.426$ \(\Q\) None \(-1\) \(-1\) \(-1\) \(-3\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-3q^{7}+\cdots\)
930.2.a.b 930.a 1.a $1$ $7.426$ \(\Q\) None \(-1\) \(-1\) \(-1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{8}+\cdots\)
930.2.a.c 930.a 1.a $1$ $7.426$ \(\Q\) None \(-1\) \(-1\) \(1\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-4q^{7}+\cdots\)
930.2.a.d 930.a 1.a $1$ $7.426$ \(\Q\) None \(-1\) \(-1\) \(1\) \(2\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+2q^{7}+\cdots\)
930.2.a.e 930.a 1.a $1$ $7.426$ \(\Q\) None \(-1\) \(-1\) \(1\) \(3\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+3q^{7}+\cdots\)
930.2.a.f 930.a 1.a $1$ $7.426$ \(\Q\) None \(-1\) \(1\) \(-1\) \(1\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots\)
930.2.a.g 930.a 1.a $1$ $7.426$ \(\Q\) None \(-1\) \(1\) \(-1\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+4q^{7}+\cdots\)
930.2.a.h 930.a 1.a $1$ $7.426$ \(\Q\) None \(-1\) \(1\) \(1\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-2q^{7}+\cdots\)
930.2.a.i 930.a 1.a $1$ $7.426$ \(\Q\) None \(-1\) \(1\) \(1\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\cdots\)
930.2.a.j 930.a 1.a $1$ $7.426$ \(\Q\) None \(-1\) \(1\) \(1\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}+4q^{7}+\cdots\)
930.2.a.k 930.a 1.a $1$ $7.426$ \(\Q\) None \(1\) \(-1\) \(-1\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-2q^{7}+\cdots\)
930.2.a.l 930.a 1.a $1$ $7.426$ \(\Q\) None \(1\) \(-1\) \(-1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{8}+\cdots\)
930.2.a.m 930.a 1.a $1$ $7.426$ \(\Q\) None \(1\) \(-1\) \(-1\) \(3\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+3q^{7}+\cdots\)
930.2.a.n 930.a 1.a $1$ $7.426$ \(\Q\) None \(1\) \(1\) \(-1\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+2q^{7}+\cdots\)
930.2.a.o 930.a 1.a $1$ $7.426$ \(\Q\) None \(1\) \(1\) \(1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+q^{8}+\cdots\)
930.2.a.p 930.a 1.a $2$ $7.426$ \(\Q(\sqrt{17}) \) None \(2\) \(-2\) \(2\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+\beta q^{7}+\cdots\)
930.2.a.q 930.a 1.a $2$ $7.426$ \(\Q(\sqrt{65}) \) None \(2\) \(2\) \(-2\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}-\beta q^{7}+\cdots\)
930.2.a.r 930.a 1.a $2$ $7.426$ \(\Q(\sqrt{33}) \) None \(2\) \(2\) \(2\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+\beta q^{7}+\cdots\)
930.2.d.a 930.d 5.b $2$ $7.426$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{2}+iq^{3}-q^{4}+(-1+2i)q^{5}+\cdots\)
930.2.d.b 930.d 5.b $2$ $7.426$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{2}-iq^{3}-q^{4}+(-1-2i)q^{5}+\cdots\)
930.2.d.c 930.d 5.b $2$ $7.426$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{2}+iq^{3}-q^{4}+(1+2i)q^{5}+q^{6}+\cdots\)
930.2.d.d 930.d 5.b $2$ $7.426$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{2}-iq^{3}-q^{4}+(2+i)q^{5}-q^{6}+\cdots\)
930.2.d.e 930.d 5.b $2$ $7.426$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{2}-iq^{3}-q^{4}+(2+i)q^{5}+q^{6}+\cdots\)
930.2.d.f 930.d 5.b $2$ $7.426$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{2}+iq^{3}-q^{4}+(2-i)q^{5}+q^{6}+\cdots\)
930.2.d.g 930.d 5.b $4$ $7.426$ \(\Q(\zeta_{8})\) None \(0\) \(0\) \(8\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\zeta_{8}q^{2}+\zeta_{8}q^{3}-q^{4}+(2+\zeta_{8})q^{5}+\cdots\)
930.2.d.h 930.d 5.b $6$ $7.426$ 6.0.3534400.1 None \(0\) \(0\) \(-6\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{5}q^{2}+\beta _{5}q^{3}-q^{4}+(-1+\beta _{4}+\cdots)q^{5}+\cdots\)
930.2.d.i 930.d 5.b $6$ $7.426$ 6.0.11669056.1 None \(0\) \(0\) \(-4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{3}q^{2}-\beta _{3}q^{3}-q^{4}+(-1+\beta _{1}+\cdots)q^{5}+\cdots\)
930.2.e.a 930.e 465.g $32$ $7.426$ None \(-32\) \(0\) \(2\) \(0\) $\mathrm{SU}(2)[C_{2}]$
930.2.e.b 930.e 465.g $32$ $7.426$ None \(32\) \(0\) \(-2\) \(0\) $\mathrm{SU}(2)[C_{2}]$
930.2.h.a 930.h 93.c $4$ $7.426$ \(\Q(i, \sqrt{6})\) None \(0\) \(0\) \(0\) \(-16\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{2}q^{2}-\beta _{3}q^{3}-q^{4}-\beta _{2}q^{5}+\beta _{1}q^{6}+\cdots\)
930.2.h.b 930.h 93.c $4$ $7.426$ \(\Q(\zeta_{12})\) None \(0\) \(0\) \(0\) \(8\) $\mathrm{SU}(2)[C_{2}]$ \(q-\zeta_{12}q^{2}-\zeta_{12}^{3}q^{3}-q^{4}-\zeta_{12}q^{5}+\cdots\)
930.2.h.c 930.h 93.c $16$ $7.426$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(0\) \(0\) \(0\) \(-20\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{3}q^{2}-\beta _{5}q^{3}-q^{4}+\beta _{3}q^{5}+\beta _{1}q^{6}+\cdots\)
930.2.h.d 930.h 93.c $16$ $7.426$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(0\) \(0\) \(0\) \(4\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{6}q^{2}-\beta _{12}q^{3}-q^{4}+\beta _{6}q^{5}+\beta _{5}q^{6}+\cdots\)
930.2.i.a 930.i 31.c $2$ $7.426$ \(\Q(\sqrt{-3}) \) None \(-2\) \(-1\) \(1\) \(1\) $\mathrm{SU}(2)[C_{3}]$ \(q-q^{2}+(-1+\zeta_{6})q^{3}+q^{4}+\zeta_{6}q^{5}+\cdots\)
930.2.i.b 930.i 31.c $2$ $7.426$ \(\Q(\sqrt{-3}) \) None \(-2\) \(1\) \(1\) \(-3\) $\mathrm{SU}(2)[C_{3}]$ \(q-q^{2}+(1-\zeta_{6})q^{3}+q^{4}+\zeta_{6}q^{5}+(-1+\cdots)q^{6}+\cdots\)
930.2.i.c 930.i 31.c $2$ $7.426$ \(\Q(\sqrt{-3}) \) None \(-2\) \(1\) \(1\) \(3\) $\mathrm{SU}(2)[C_{3}]$ \(q-q^{2}+(1-\zeta_{6})q^{3}+q^{4}+\zeta_{6}q^{5}+(-1+\cdots)q^{6}+\cdots\)
930.2.i.d 930.i 31.c $2$ $7.426$ \(\Q(\sqrt{-3}) \) None \(2\) \(-1\) \(-1\) \(-5\) $\mathrm{SU}(2)[C_{3}]$ \(q+q^{2}+(-1+\zeta_{6})q^{3}+q^{4}-\zeta_{6}q^{5}+\cdots\)
930.2.i.e 930.i 31.c $2$ $7.426$ \(\Q(\sqrt{-3}) \) None \(2\) \(-1\) \(-1\) \(0\) $\mathrm{SU}(2)[C_{3}]$ \(q+q^{2}+(-1+\zeta_{6})q^{3}+q^{4}-\zeta_{6}q^{5}+\cdots\)
930.2.i.f 930.i 31.c $2$ $7.426$ \(\Q(\sqrt{-3}) \) None \(2\) \(-1\) \(-1\) \(1\) $\mathrm{SU}(2)[C_{3}]$ \(q+q^{2}+(-1+\zeta_{6})q^{3}+q^{4}-\zeta_{6}q^{5}+\cdots\)
930.2.i.g 930.i 31.c $2$ $7.426$ \(\Q(\sqrt{-3}) \) None \(2\) \(1\) \(1\) \(-4\) $\mathrm{SU}(2)[C_{3}]$ \(q+q^{2}+(1-\zeta_{6})q^{3}+q^{4}+\zeta_{6}q^{5}+(1+\cdots)q^{6}+\cdots\)
930.2.i.h 930.i 31.c $2$ $7.426$ \(\Q(\sqrt{-3}) \) None \(2\) \(1\) \(1\) \(3\) $\mathrm{SU}(2)[C_{3}]$ \(q+q^{2}+(1-\zeta_{6})q^{3}+q^{4}+\zeta_{6}q^{5}+(1+\cdots)q^{6}+\cdots\)
930.2.i.i 930.i 31.c $2$ $7.426$ \(\Q(\sqrt{-3}) \) None \(2\) \(1\) \(1\) \(3\) $\mathrm{SU}(2)[C_{3}]$ \(q+q^{2}+(1-\zeta_{6})q^{3}+q^{4}+\zeta_{6}q^{5}+(1+\cdots)q^{6}+\cdots\)
930.2.i.j 930.i 31.c $4$ $7.426$ \(\Q(\sqrt{-3}, \sqrt{7})\) None \(-4\) \(-2\) \(-2\) \(-2\) $\mathrm{SU}(2)[C_{3}]$ \(q-q^{2}+(-1-\beta _{2})q^{3}+q^{4}+\beta _{2}q^{5}+\cdots\)
930.2.i.k 930.i 31.c $4$ $7.426$ \(\Q(\sqrt{-3}, \sqrt{-11})\) None \(-4\) \(-2\) \(2\) \(1\) $\mathrm{SU}(2)[C_{3}]$ \(q-q^{2}-\beta _{1}q^{3}+q^{4}+(1-\beta _{1})q^{5}+\beta _{1}q^{6}+\cdots\)
930.2.i.l 930.i 31.c $4$ $7.426$ \(\Q(\sqrt{-3}, \sqrt{5})\) None \(4\) \(-2\) \(2\) \(4\) $\mathrm{SU}(2)[C_{3}]$ \(q+q^{2}+\beta _{1}q^{3}+q^{4}+(1+\beta _{1})q^{5}+\beta _{1}q^{6}+\cdots\)
930.2.i.m 930.i 31.c $4$ $7.426$ \(\Q(\sqrt{2}, \sqrt{-3})\) None \(4\) \(2\) \(-2\) \(2\) $\mathrm{SU}(2)[C_{3}]$ \(q+q^{2}+(1+\beta _{2})q^{3}+q^{4}+\beta _{2}q^{5}+(1+\cdots)q^{6}+\cdots\)
930.2.i.n 930.i 31.c $6$ $7.426$ 6.0.3636603.4 None \(-6\) \(3\) \(-3\) \(-4\) $\mathrm{SU}(2)[C_{3}]$ \(q-q^{2}-\beta _{1}q^{3}+q^{4}+(-1-\beta _{1})q^{5}+\cdots\)
930.2.j.a 930.j 15.e $4$ $7.426$ \(\Q(\zeta_{8})\) None \(0\) \(4\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q+\zeta_{8}^{3}q^{2}+(1+\zeta_{8}-\zeta_{8}^{2})q^{3}-\zeta_{8}^{2}q^{4}+\cdots\)
930.2.j.b 930.j 15.e $4$ $7.426$ \(\Q(\zeta_{8})\) None \(0\) \(4\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q+\zeta_{8}^{3}q^{2}+(1-\zeta_{8}-\zeta_{8}^{2})q^{3}-\zeta_{8}^{2}q^{4}+\cdots\)
930.2.j.c 930.j 15.e $8$ $7.426$ 8.0.1698758656.6 None \(0\) \(-8\) \(0\) \(4\) $\mathrm{SU}(2)[C_{4}]$ \(q-\beta _{1}q^{2}+(-1-\beta _{1}-\beta _{7})q^{3}-\beta _{7}q^{4}+\cdots\)
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