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Label Char Prim Dim $A$ Field CM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
2310.2.a.a 2310.a 1.a $1$ $18.445$ \(\Q\) None \(-1\) \(-1\) \(-1\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots\)
2310.2.a.b 2310.a 1.a $1$ $18.445$ \(\Q\) None \(-1\) \(-1\) \(-1\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots\)
2310.2.a.c 2310.a 1.a $1$ $18.445$ \(\Q\) None \(-1\) \(-1\) \(-1\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+q^{7}+\cdots\)
2310.2.a.d 2310.a 1.a $1$ $18.445$ \(\Q\) None \(-1\) \(-1\) \(1\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+q^{7}+\cdots\)
2310.2.a.e 2310.a 1.a $1$ $18.445$ \(\Q\) None \(-1\) \(1\) \(-1\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots\)
2310.2.a.f 2310.a 1.a $1$ $18.445$ \(\Q\) None \(-1\) \(1\) \(-1\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots\)
2310.2.a.g 2310.a 1.a $1$ $18.445$ \(\Q\) None \(-1\) \(1\) \(-1\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots\)
2310.2.a.h 2310.a 1.a $1$ $18.445$ \(\Q\) None \(-1\) \(1\) \(-1\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots\)
2310.2.a.i 2310.a 1.a $1$ $18.445$ \(\Q\) None \(-1\) \(1\) \(-1\) \(1\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots\)
2310.2.a.j 2310.a 1.a $1$ $18.445$ \(\Q\) None \(-1\) \(1\) \(1\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\cdots\)
2310.2.a.k 2310.a 1.a $1$ $18.445$ \(\Q\) None \(-1\) \(1\) \(1\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\cdots\)
2310.2.a.l 2310.a 1.a $1$ $18.445$ \(\Q\) None \(-1\) \(1\) \(1\) \(1\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}+q^{7}+\cdots\)
2310.2.a.m 2310.a 1.a $1$ $18.445$ \(\Q\) None \(1\) \(-1\) \(-1\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots\)
2310.2.a.n 2310.a 1.a $1$ $18.445$ \(\Q\) None \(1\) \(-1\) \(1\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\cdots\)
2310.2.a.o 2310.a 1.a $1$ $18.445$ \(\Q\) None \(1\) \(-1\) \(1\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{7}+\cdots\)
2310.2.a.p 2310.a 1.a $1$ $18.445$ \(\Q\) None \(1\) \(-1\) \(1\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{7}+\cdots\)
2310.2.a.q 2310.a 1.a $1$ $18.445$ \(\Q\) None \(1\) \(1\) \(-1\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots\)
2310.2.a.r 2310.a 1.a $1$ $18.445$ \(\Q\) None \(1\) \(1\) \(-1\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots\)
2310.2.a.s 2310.a 1.a $1$ $18.445$ \(\Q\) None \(1\) \(1\) \(-1\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots\)
2310.2.a.t 2310.a 1.a $1$ $18.445$ \(\Q\) None \(1\) \(1\) \(-1\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{7}+\cdots\)
2310.2.a.u 2310.a 1.a $1$ $18.445$ \(\Q\) None \(1\) \(1\) \(-1\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{7}+\cdots\)
2310.2.a.v 2310.a 1.a $1$ $18.445$ \(\Q\) None \(1\) \(1\) \(1\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}-q^{7}+\cdots\)
2310.2.a.w 2310.a 1.a $2$ $18.445$ \(\Q(\sqrt{3}) \) None \(-2\) \(-2\) \(-2\) \(2\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+q^{7}+\cdots\)
2310.2.a.x 2310.a 1.a $2$ $18.445$ \(\Q(\sqrt{33}) \) None \(-2\) \(-2\) \(2\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{7}+\cdots\)
2310.2.a.y 2310.a 1.a $2$ $18.445$ \(\Q(\sqrt{33}) \) None \(-2\) \(-2\) \(2\) \(2\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+q^{7}+\cdots\)
2310.2.a.z 2310.a 1.a $2$ $18.445$ \(\Q(\sqrt{3}) \) None \(-2\) \(2\) \(2\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\cdots\)
2310.2.a.ba 2310.a 1.a $2$ $18.445$ \(\Q(\sqrt{2}) \) None \(2\) \(-2\) \(-2\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots\)
2310.2.a.bb 2310.a 1.a $2$ $18.445$ \(\Q(\sqrt{3}) \) None \(2\) \(-2\) \(-2\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots\)
2310.2.a.bc 2310.a 1.a $2$ $18.445$ \(\Q(\sqrt{17}) \) None \(2\) \(-2\) \(2\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\cdots\)
2310.2.a.bd 2310.a 1.a $3$ $18.445$ 3.3.148.1 None \(3\) \(3\) \(3\) \(3\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+q^{7}+\cdots\)
2310.2.d.a 2310.d 385.h $24$ $18.445$ None \(-24\) \(-24\) \(-2\) \(-2\) $\mathrm{SU}(2)[C_{2}]$
2310.2.d.b 2310.d 385.h $24$ $18.445$ None \(-24\) \(24\) \(2\) \(-2\) $\mathrm{SU}(2)[C_{2}]$
2310.2.d.c 2310.d 385.h $24$ $18.445$ None \(24\) \(-24\) \(-2\) \(2\) $\mathrm{SU}(2)[C_{2}]$
2310.2.d.d 2310.d 385.h $24$ $18.445$ None \(24\) \(24\) \(2\) \(2\) $\mathrm{SU}(2)[C_{2}]$
2310.2.e.a 2310.e 5.b $2$ $18.445$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{2}+iq^{3}-q^{4}+(-2+i)q^{5}+\cdots\)
2310.2.e.b 2310.e 5.b $2$ $18.445$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{2}+iq^{3}-q^{4}+(-2-i)q^{5}+\cdots\)
2310.2.e.c 2310.e 5.b $2$ $18.445$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{2}-iq^{3}-q^{4}+(-1-2i)q^{5}+\cdots\)
2310.2.e.d 2310.e 5.b $2$ $18.445$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{2}+iq^{3}-q^{4}+(-1-2i)q^{5}+\cdots\)
2310.2.e.e 2310.e 5.b $2$ $18.445$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{2}-iq^{3}-q^{4}+(1-2i)q^{5}+q^{6}+\cdots\)
2310.2.e.f 2310.e 5.b $2$ $18.445$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{2}+iq^{3}-q^{4}+(2-i)q^{5}-q^{6}+\cdots\)
2310.2.e.g 2310.e 5.b $2$ $18.445$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{2}-iq^{3}-q^{4}+(2-i)q^{5}+q^{6}+\cdots\)
2310.2.e.h 2310.e 5.b $4$ $18.445$ \(\Q(i, \sqrt{5})\) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{1}q^{2}-\beta _{1}q^{3}-q^{4}+\beta _{3}q^{5}-q^{6}+\cdots\)
2310.2.e.i 2310.e 5.b $6$ $18.445$ 6.0.350464.1 None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{1}q^{2}+\beta _{1}q^{3}-q^{4}-\beta _{3}q^{5}-q^{6}+\cdots\)
2310.2.e.j 2310.e 5.b $6$ $18.445$ 6.0.350464.1 None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{1}q^{2}+\beta _{1}q^{3}-q^{4}-\beta _{4}q^{5}-q^{6}+\cdots\)
2310.2.e.k 2310.e 5.b $6$ $18.445$ 6.0.350464.1 None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{1}q^{2}-\beta _{1}q^{3}-q^{4}+\beta _{4}q^{5}+q^{6}+\cdots\)
2310.2.e.l 2310.e 5.b $6$ $18.445$ 6.0.350464.1 None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{1}q^{2}-\beta _{1}q^{3}-q^{4}-\beta _{4}q^{5}+q^{6}+\cdots\)
2310.2.e.m 2310.e 5.b $6$ $18.445$ 6.0.350464.1 None \(0\) \(0\) \(2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{1}q^{2}-\beta _{1}q^{3}-q^{4}-\beta _{5}q^{5}+q^{6}+\cdots\)
2310.2.e.n 2310.e 5.b $8$ $18.445$ 8.0.110166016.2 None \(0\) \(0\) \(-4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{5}q^{2}-\beta _{5}q^{3}-q^{4}+(-1+\beta _{1}+\cdots)q^{5}+\cdots\)
2310.2.e.o 2310.e 5.b $8$ $18.445$ 8.0.309760000.3 None \(0\) \(0\) \(4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{4}q^{2}-\beta _{4}q^{3}-q^{4}+\beta _{7}q^{5}-q^{6}+\cdots\)
2310.2.g.a 2310.g 33.d $4$ $18.445$ \(\Q(\zeta_{8})\) None \(-4\) \(-4\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-q^{2}+(-1+\zeta_{8}+\zeta_{8}^{2})q^{3}+q^{4}+\cdots\)
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