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Label Char Prim Dim $A$ Field CM RM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
936.1.o.a 936.o 104.h $1$ $0.467$ \(\Q\) \(\Q(\sqrt{-26}) \) None \(-1\) \(0\) \(1\) \(-1\) \(q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-q^{10}+\cdots\)
936.1.o.b 936.o 104.h $1$ $0.467$ \(\Q\) \(\Q(\sqrt{-26}) \) None \(1\) \(0\) \(-1\) \(1\) \(q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}-q^{10}+\cdots\)
936.1.o.c 936.o 104.h $4$ $0.467$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-39}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}q^{2}+\zeta_{8}^{2}q^{4}+(\zeta_{8}-\zeta_{8}^{3})q^{5}+\cdots\)
936.1.bs.a 936.bs 936.as $6$ $0.467$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-26}) \) None \(-3\) \(0\) \(0\) \(0\) \(q-\zeta_{18}^{3}q^{2}+\zeta_{18}^{8}q^{3}+\zeta_{18}^{6}q^{4}+\cdots\)
936.1.bs.b 936.bs 936.as $6$ $0.467$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-26}) \) None \(3\) \(0\) \(0\) \(0\) \(q+\zeta_{18}^{3}q^{2}+\zeta_{18}^{8}q^{3}+\zeta_{18}^{6}q^{4}+\cdots\)
936.1.dm.a 936.dm 117.y $4$ $0.467$ \(\Q(\zeta_{12})\) None None \(0\) \(-2\) \(0\) \(-2\) \(q-\zeta_{12}^{2}q^{3}+(-\zeta_{12}+\zeta_{12}^{4})q^{7}+\zeta_{12}^{4}q^{9}+\cdots\)
936.1.dm.b 936.dm 117.y $4$ $0.467$ \(\Q(\zeta_{12})\) None None \(0\) \(2\) \(2\) \(0\) \(q+\zeta_{12}^{2}q^{3}+(\zeta_{12}^{2}-\zeta_{12}^{5})q^{5}+\zeta_{12}^{4}q^{9}+\cdots\)
936.2.a.a 936.a 1.a $1$ $7.474$ \(\Q\) None None \(0\) \(0\) \(-4\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-4q^{5}+2q^{11}-q^{13}-2q^{17}+8q^{19}+\cdots\)
936.2.a.b 936.a 1.a $1$ $7.474$ \(\Q\) None None \(0\) \(0\) \(-2\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-2q^{5}+q^{13}-2q^{17}-4q^{19}-q^{25}+\cdots\)
936.2.a.c 936.a 1.a $1$ $7.474$ \(\Q\) None None \(0\) \(0\) \(-2\) \(2\) $+$ $\mathrm{SU}(2)$ \(q-2q^{5}+2q^{7}-4q^{11}-q^{13}-2q^{19}+\cdots\)
936.2.a.d 936.a 1.a $1$ $7.474$ \(\Q\) None None \(0\) \(0\) \(0\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q-4q^{7}+2q^{11}-q^{13}+6q^{17}-4q^{19}+\cdots\)
936.2.a.e 936.a 1.a $1$ $7.474$ \(\Q\) None None \(0\) \(0\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-6q^{11}-q^{13}-2q^{17}-4q^{23}-5q^{25}+\cdots\)
936.2.a.f 936.a 1.a $1$ $7.474$ \(\Q\) None None \(0\) \(0\) \(1\) \(5\) $-$ $\mathrm{SU}(2)$ \(q+q^{5}+5q^{7}+2q^{11}-q^{13}+3q^{17}+\cdots\)
936.2.a.g 936.a 1.a $1$ $7.474$ \(\Q\) None None \(0\) \(0\) \(2\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+2q^{5}+2q^{7}+4q^{11}-q^{13}-2q^{19}+\cdots\)
936.2.a.h 936.a 1.a $1$ $7.474$ \(\Q\) None None \(0\) \(0\) \(2\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+2q^{5}+4q^{7}+q^{13}-2q^{17}+8q^{19}+\cdots\)
936.2.a.i 936.a 1.a $1$ $7.474$ \(\Q\) None None \(0\) \(0\) \(4\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q+4q^{5}-4q^{7}+2q^{11}-q^{13}+6q^{17}+\cdots\)
936.2.a.j 936.a 1.a $2$ $7.474$ \(\Q(\sqrt{17}) \) None None \(0\) \(0\) \(-3\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta )q^{5}+(-1+\beta )q^{7}+(2-2\beta )q^{11}+\cdots\)
936.2.a.k 936.a 1.a $2$ $7.474$ \(\Q(\sqrt{2}) \) None None \(0\) \(0\) \(0\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q+\beta q^{5}+(-2-\beta )q^{7}+(-2-\beta )q^{11}+\cdots\)
936.2.a.l 936.a 1.a $2$ $7.474$ \(\Q(\sqrt{2}) \) None None \(0\) \(0\) \(0\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q+\beta q^{5}+(-2+\beta )q^{7}+(2-\beta )q^{11}+\cdots\)
936.2.c.a 936.c 13.b $2$ $7.474$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{5}-iq^{7}+2iq^{11}+(-3+i)q^{13}+\cdots\)
936.2.c.b 936.c 13.b $2$ $7.474$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{7}+iq^{11}+(3-i)q^{13}-2q^{17}+\cdots\)
936.2.c.c 936.c 13.b $2$ $7.474$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+2iq^{5}+iq^{7}+iq^{11}+(3-i)q^{13}+\cdots\)
936.2.c.d 936.c 13.b $4$ $7.474$ \(\Q(i, \sqrt{17})\) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{1}q^{5}+(-\beta _{1}+\beta _{2})q^{7}+(-2\beta _{1}+\cdots)q^{11}+\cdots\)
936.2.c.e 936.c 13.b $8$ $7.474$ 8.0.40960000.1 None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{2}q^{5}+\beta _{1}q^{7}+(-\beta _{2}+\beta _{4})q^{11}+\cdots\)
936.2.g.a 936.g 8.b $2$ $7.474$ \(\Q(\sqrt{-1}) \) None None \(2\) \(0\) \(0\) \(6\) $\mathrm{SU}(2)[C_{2}]$ \(q+(1+i)q^{2}+2iq^{4}+3iq^{5}+3q^{7}+\cdots\)
936.2.g.b 936.g 8.b $4$ $7.474$ \(\Q(\zeta_{12})\) None None \(-2\) \(0\) \(0\) \(-12\) $\mathrm{SU}(2)[C_{2}]$ \(q+(-\zeta_{12}+\zeta_{12}^{2})q^{2}+(\zeta_{12}+\zeta_{12}^{3})q^{4}+\cdots\)
936.2.g.c 936.g 8.b $6$ $7.474$ 6.0.399424.1 None None \(2\) \(0\) \(0\) \(2\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{2}q^{2}+(\beta _{1}+\beta _{5})q^{4}-\beta _{1}q^{5}+(\beta _{3}+\cdots)q^{7}+\cdots\)
936.2.g.d 936.g 8.b $8$ $7.474$ \(\Q(\zeta_{20})\) None None \(-2\) \(0\) \(0\) \(4\) $\mathrm{SU}(2)[C_{2}]$ \(q+\zeta_{20}^{6}q^{2}-\zeta_{20}q^{4}+(1+\zeta_{20}^{2}-\zeta_{20}^{3}+\cdots)q^{5}+\cdots\)
936.2.g.e 936.g 8.b $16$ $7.474$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(-2\) \(0\) \(0\) \(4\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{10}q^{2}-\beta _{2}q^{4}-\beta _{14}q^{5}+(-\beta _{1}+\cdots)q^{7}+\cdots\)
936.2.g.f 936.g 8.b $24$ $7.474$ None None \(0\) \(0\) \(0\) \(-8\) $\mathrm{SU}(2)[C_{2}]$
936.2.h.a 936.h 312.h $56$ $7.474$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
936.2.j.a 936.j 24.f $48$ $7.474$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
936.2.m.a 936.m 104.e $2$ $7.474$ \(\Q(\sqrt{-1}) \) None None \(-2\) \(0\) \(-4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+(-1+i)q^{2}-2iq^{4}-2q^{5}+(2+2i)q^{8}+\cdots\)
936.2.m.b 936.m 104.e $2$ $7.474$ \(\Q(\sqrt{-1}) \) None None \(-2\) \(0\) \(2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+(-1+i)q^{2}-2iq^{4}+q^{5}+3iq^{7}+\cdots\)
936.2.m.c 936.m 104.e $2$ $7.474$ \(\Q(\sqrt{-1}) \) None None \(2\) \(0\) \(-2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+(1-i)q^{2}-2iq^{4}-q^{5}-3iq^{7}+\cdots\)
936.2.m.d 936.m 104.e $2$ $7.474$ \(\Q(\sqrt{-1}) \) None None \(2\) \(0\) \(4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+(1-i)q^{2}-2iq^{4}+2q^{5}+(-2-2i)q^{8}+\cdots\)
936.2.m.e 936.m 104.e $4$ $7.474$ \(\Q(\sqrt{-2}, \sqrt{13})\) \(\Q(\sqrt{-78}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+\beta _{2}q^{2}-2q^{4}-2\beta _{2}q^{8}-\beta _{3}q^{13}+\cdots\)
936.2.m.f 936.m 104.e $8$ $7.474$ 8.0.4521217600.1 None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{1}q^{2}+\beta _{2}q^{4}-\beta _{6}q^{5}+(\beta _{1}-\beta _{4}+\cdots)q^{7}+\cdots\)
936.2.m.g 936.m 104.e $8$ $7.474$ 8.0.\(\cdots\).21 \(\Q(\sqrt{-39}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q-\beta _{5}q^{2}+(-\beta _{2}-\beta _{4})q^{4}+(\beta _{1}+\beta _{3}+\cdots)q^{5}+\cdots\)
936.2.m.h 936.m 104.e $16$ $7.474$ \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{10}q^{2}+\beta _{3}q^{4}+\beta _{14}q^{5}-\beta _{5}q^{7}+\cdots\)
936.2.m.i 936.m 104.e $24$ $7.474$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
936.2.q.a 936.q 9.c $2$ $7.474$ \(\Q(\sqrt{-3}) \) None None \(0\) \(-3\) \(4\) \(-2\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-1-\zeta_{6})q^{3}+4\zeta_{6}q^{5}+(-2+2\zeta_{6})q^{7}+\cdots\)
936.2.q.b 936.q 9.c $2$ $7.474$ \(\Q(\sqrt{-3}) \) None None \(0\) \(3\) \(-2\) \(2\) $\mathrm{SU}(2)[C_{3}]$ \(q+(1+\zeta_{6})q^{3}-2\zeta_{6}q^{5}+(2-2\zeta_{6})q^{7}+\cdots\)
936.2.q.c 936.q 9.c $2$ $7.474$ \(\Q(\sqrt{-3}) \) None None \(0\) \(3\) \(-2\) \(4\) $\mathrm{SU}(2)[C_{3}]$ \(q+(2-\zeta_{6})q^{3}-2\zeta_{6}q^{5}+(4-4\zeta_{6})q^{7}+\cdots\)
936.2.q.d 936.q 9.c $12$ $7.474$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None None \(0\) \(-4\) \(-1\) \(2\) $\mathrm{SU}(2)[C_{3}]$ \(q+\beta _{5}q^{3}+(\beta _{2}-\beta _{11})q^{5}+(-1+\beta _{1}+\cdots)q^{7}+\cdots\)
936.2.q.e 936.q 9.c $16$ $7.474$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(0\) \(-1\) \(-1\) \(-4\) $\mathrm{SU}(2)[C_{3}]$ \(q-\beta _{1}q^{3}+(-\beta _{5}-\beta _{9}+\beta _{11})q^{5}-\beta _{14}q^{7}+\cdots\)
936.2.q.f 936.q 9.c $16$ $7.474$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(0\) \(0\) \(1\) \(2\) $\mathrm{SU}(2)[C_{3}]$ \(q+\beta _{1}q^{3}+(\beta _{6}-\beta _{11})q^{5}-\beta _{5}q^{7}+(-\beta _{2}+\cdots)q^{9}+\cdots\)
936.2.q.g 936.q 9.c $22$ $7.474$ None None \(0\) \(0\) \(-3\) \(-4\) $\mathrm{SU}(2)[C_{3}]$
936.2.r.a 936.r 117.h $2$ $7.474$ \(\Q(\sqrt{-3}) \) None None \(0\) \(-3\) \(-3\) \(0\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-2+\zeta_{6})q^{3}+(-3+3\zeta_{6})q^{5}+(3+\cdots)q^{9}+\cdots\)
936.2.r.b 936.r 117.h $2$ $7.474$ \(\Q(\sqrt{-3}) \) None None \(0\) \(0\) \(-3\) \(1\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-1+2\zeta_{6})q^{3}+(-3+3\zeta_{6})q^{5}+\cdots\)
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