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Label Char Prim Dim $A$ Field CM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1710.2.a.a 1710.a 1.a $1$ $13.654$ \(\Q\) None \(-1\) \(0\) \(-1\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{5}-4q^{7}-q^{8}+q^{10}+\cdots\)
1710.2.a.b 1710.a 1.a $1$ $13.654$ \(\Q\) None \(-1\) \(0\) \(-1\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{5}-2q^{7}-q^{8}+q^{10}+\cdots\)
1710.2.a.c 1710.a 1.a $1$ $13.654$ \(\Q\) None \(-1\) \(0\) \(-1\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{5}-2q^{7}-q^{8}+q^{10}+\cdots\)
1710.2.a.d 1710.a 1.a $1$ $13.654$ \(\Q\) None \(-1\) \(0\) \(-1\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{5}-q^{7}-q^{8}+q^{10}+\cdots\)
1710.2.a.e 1710.a 1.a $1$ $13.654$ \(\Q\) None \(-1\) \(0\) \(-1\) \(4\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{5}+4q^{7}-q^{8}+q^{10}+\cdots\)
1710.2.a.f 1710.a 1.a $1$ $13.654$ \(\Q\) None \(-1\) \(0\) \(-1\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{5}+4q^{7}-q^{8}+q^{10}+\cdots\)
1710.2.a.g 1710.a 1.a $1$ $13.654$ \(\Q\) None \(-1\) \(0\) \(1\) \(-5\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+q^{5}-5q^{7}-q^{8}-q^{10}+\cdots\)
1710.2.a.h 1710.a 1.a $1$ $13.654$ \(\Q\) None \(-1\) \(0\) \(1\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+q^{5}-2q^{7}-q^{8}-q^{10}+\cdots\)
1710.2.a.i 1710.a 1.a $1$ $13.654$ \(\Q\) None \(-1\) \(0\) \(1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}-4q^{11}+\cdots\)
1710.2.a.j 1710.a 1.a $1$ $13.654$ \(\Q\) None \(-1\) \(0\) \(1\) \(2\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+q^{5}+2q^{7}-q^{8}-q^{10}+\cdots\)
1710.2.a.k 1710.a 1.a $1$ $13.654$ \(\Q\) None \(-1\) \(0\) \(1\) \(2\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+q^{5}+2q^{7}-q^{8}-q^{10}+\cdots\)
1710.2.a.l 1710.a 1.a $1$ $13.654$ \(\Q\) None \(1\) \(0\) \(-1\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{5}-4q^{7}+q^{8}-q^{10}+\cdots\)
1710.2.a.m 1710.a 1.a $1$ $13.654$ \(\Q\) None \(1\) \(0\) \(-1\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{5}-2q^{7}+q^{8}-q^{10}+\cdots\)
1710.2.a.n 1710.a 1.a $1$ $13.654$ \(\Q\) None \(1\) \(0\) \(-1\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{5}-2q^{7}+q^{8}-q^{10}+\cdots\)
1710.2.a.o 1710.a 1.a $1$ $13.654$ \(\Q\) None \(1\) \(0\) \(-1\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{5}+2q^{7}+q^{8}-q^{10}+\cdots\)
1710.2.a.p 1710.a 1.a $1$ $13.654$ \(\Q\) None \(1\) \(0\) \(1\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{5}-4q^{7}+q^{8}+q^{10}+\cdots\)
1710.2.a.q 1710.a 1.a $1$ $13.654$ \(\Q\) None \(1\) \(0\) \(1\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{5}-2q^{7}+q^{8}+q^{10}+\cdots\)
1710.2.a.r 1710.a 1.a $1$ $13.654$ \(\Q\) None \(1\) \(0\) \(1\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{5}-q^{7}+q^{8}+q^{10}+\cdots\)
1710.2.a.s 1710.a 1.a $1$ $13.654$ \(\Q\) None \(1\) \(0\) \(1\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{5}+2q^{7}+q^{8}+q^{10}+\cdots\)
1710.2.a.t 1710.a 1.a $1$ $13.654$ \(\Q\) None \(1\) \(0\) \(1\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{5}+4q^{7}+q^{8}+q^{10}+\cdots\)
1710.2.a.u 1710.a 1.a $2$ $13.654$ \(\Q(\sqrt{3}) \) None \(-2\) \(0\) \(-2\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{5}+2q^{7}-q^{8}+q^{10}+\cdots\)
1710.2.a.v 1710.a 1.a $2$ $13.654$ \(\Q(\sqrt{17}) \) None \(-2\) \(0\) \(2\) \(2\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+q^{5}+(1+\beta )q^{7}-q^{8}+\cdots\)
1710.2.a.w 1710.a 1.a $2$ $13.654$ \(\Q(\sqrt{17}) \) None \(2\) \(0\) \(-2\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{5}-\beta q^{7}+q^{8}-q^{10}+\cdots\)
1710.2.a.x 1710.a 1.a $2$ $13.654$ \(\Q(\sqrt{17}) \) None \(2\) \(0\) \(-2\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{5}+(1+\beta )q^{7}+q^{8}+\cdots\)
1710.2.a.y 1710.a 1.a $2$ $13.654$ \(\Q(\sqrt{3}) \) None \(2\) \(0\) \(2\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{5}+2q^{7}+q^{8}+q^{10}+\cdots\)
1710.2.c.a 1710.c 285.b $4$ $13.654$ \(\Q(\zeta_{8})\) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\zeta_{8}^{2}q^{2}-q^{4}+(\zeta_{8}+2\zeta_{8}^{3})q^{5}+\zeta_{8}^{2}q^{8}+\cdots\)
1710.2.c.b 1710.c 285.b $4$ $13.654$ \(\Q(\zeta_{8})\) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\zeta_{8}^{2}q^{2}-q^{4}+(-2\zeta_{8}-\zeta_{8}^{3})q^{5}+\cdots\)
1710.2.c.c 1710.c 285.b $8$ $13.654$ \(\Q(\zeta_{24})\) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\zeta_{24}q^{2}-q^{4}+(\zeta_{24}^{3}+\zeta_{24}^{4})q^{5}+\cdots\)
1710.2.c.d 1710.c 285.b $24$ $13.654$ None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
1710.2.d.a 1710.d 5.b $2$ $13.654$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{2}-q^{4}+(-2+i)q^{5}-iq^{8}+\cdots\)
1710.2.d.b 1710.d 5.b $2$ $13.654$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{2}-q^{4}+(1+2i)q^{5}+iq^{8}+(2+\cdots)q^{10}+\cdots\)
1710.2.d.c 1710.d 5.b $4$ $13.654$ \(\Q(\zeta_{8})\) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\zeta_{8}^{2}q^{2}-q^{4}+(\zeta_{8}+2\zeta_{8}^{3})q^{5}+(-\zeta_{8}+\cdots)q^{7}+\cdots\)
1710.2.d.d 1710.d 5.b $6$ $13.654$ 6.0.5161984.1 None \(0\) \(0\) \(-2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{4}q^{2}-q^{4}+(\beta _{1}+\beta _{3})q^{5}+(-\beta _{4}+\cdots)q^{7}+\cdots\)
1710.2.d.e 1710.d 5.b $6$ $13.654$ 6.0.350464.1 None \(0\) \(0\) \(-2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{1}q^{2}-q^{4}-\beta _{2}q^{5}+(-\beta _{2}-\beta _{5})q^{7}+\cdots\)
1710.2.d.f 1710.d 5.b $6$ $13.654$ 6.0.350464.1 None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{1}q^{2}-q^{4}-\beta _{4}q^{5}+(-\beta _{2}-\beta _{5})q^{7}+\cdots\)
1710.2.d.g 1710.d 5.b $8$ $13.654$ \(\Q(\zeta_{24})\) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\zeta_{24}q^{2}-q^{4}+\zeta_{24}^{7}q^{5}+(\zeta_{24}^{2}+\cdots)q^{7}+\cdots\)
1710.2.d.h 1710.d 5.b $12$ $13.654$ 12.0.\(\cdots\).1 None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{3}q^{2}-q^{4}-\beta _{2}q^{5}-\beta _{1}q^{7}+\beta _{3}q^{8}+\cdots\)
1710.2.f.a 1710.f 57.d $16$ $13.654$ \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None \(-16\) \(0\) \(0\) \(-8\) $\mathrm{SU}(2)[C_{2}]$ \(q-q^{2}+q^{4}-\beta _{9}q^{5}+\beta _{3}q^{7}-q^{8}+\cdots\)
1710.2.f.b 1710.f 57.d $16$ $13.654$ \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None \(16\) \(0\) \(0\) \(-8\) $\mathrm{SU}(2)[C_{2}]$ \(q+q^{2}+q^{4}-\beta _{9}q^{5}+\beta _{3}q^{7}+q^{8}+\cdots\)
1710.2.l.a 1710.l 19.c $2$ $13.654$ \(\Q(\sqrt{-3}) \) None \(-1\) \(0\) \(-1\) \(-2\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}+(-1+\zeta_{6})q^{5}+\cdots\)
1710.2.l.b 1710.l 19.c $2$ $13.654$ \(\Q(\sqrt{-3}) \) None \(-1\) \(0\) \(-1\) \(4\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}+(-1+\zeta_{6})q^{5}+\cdots\)
1710.2.l.c 1710.l 19.c $2$ $13.654$ \(\Q(\sqrt{-3}) \) None \(-1\) \(0\) \(1\) \(-10\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}+(1-\zeta_{6})q^{5}+\cdots\)
1710.2.l.d 1710.l 19.c $2$ $13.654$ \(\Q(\sqrt{-3}) \) None \(-1\) \(0\) \(1\) \(-10\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}+(1-\zeta_{6})q^{5}+\cdots\)
1710.2.l.e 1710.l 19.c $2$ $13.654$ \(\Q(\sqrt{-3}) \) None \(1\) \(0\) \(-1\) \(-10\) $\mathrm{SU}(2)[C_{3}]$ \(q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}+(-1+\zeta_{6})q^{5}+\cdots\)
1710.2.l.f 1710.l 19.c $2$ $13.654$ \(\Q(\sqrt{-3}) \) None \(1\) \(0\) \(-1\) \(-2\) $\mathrm{SU}(2)[C_{3}]$ \(q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}+(-1+\zeta_{6})q^{5}+\cdots\)
1710.2.l.g 1710.l 19.c $2$ $13.654$ \(\Q(\sqrt{-3}) \) None \(1\) \(0\) \(-1\) \(-2\) $\mathrm{SU}(2)[C_{3}]$ \(q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}+(-1+\zeta_{6})q^{5}+\cdots\)
1710.2.l.h 1710.l 19.c $2$ $13.654$ \(\Q(\sqrt{-3}) \) None \(1\) \(0\) \(-1\) \(2\) $\mathrm{SU}(2)[C_{3}]$ \(q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}+(-1+\zeta_{6})q^{5}+\cdots\)
1710.2.l.i 1710.l 19.c $2$ $13.654$ \(\Q(\sqrt{-3}) \) None \(1\) \(0\) \(-1\) \(6\) $\mathrm{SU}(2)[C_{3}]$ \(q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}+(-1+\zeta_{6})q^{5}+\cdots\)
1710.2.l.j 1710.l 19.c $4$ $13.654$ \(\Q(\sqrt{-3}, \sqrt{7})\) None \(-2\) \(0\) \(-2\) \(0\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-1-\beta _{2})q^{2}+\beta _{2}q^{4}+(-1-\beta _{2}+\cdots)q^{5}+\cdots\)
1710.2.l.k 1710.l 19.c $4$ $13.654$ \(\Q(\sqrt{-3}, \sqrt{19})\) None \(-2\) \(0\) \(-2\) \(0\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-1-\beta _{2})q^{2}+\beta _{2}q^{4}+(-1-\beta _{2}+\cdots)q^{5}+\cdots\)
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