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Label Char Prim Dim $A$ Field CM Minimal twist Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1110.2.a.a 1110.a 1.a $1$ $8.863$ \(\Q\) None 1110.2.a.a \(-1\) \(-1\) \(-1\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-4q^{7}+\cdots\)
1110.2.a.b 1110.a 1.a $1$ $8.863$ \(\Q\) None 1110.2.a.b \(-1\) \(-1\) \(-1\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+q^{7}+\cdots\)
1110.2.a.c 1110.a 1.a $1$ $8.863$ \(\Q\) None 1110.2.a.c \(-1\) \(-1\) \(-1\) \(3\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+3q^{7}+\cdots\)
1110.2.a.d 1110.a 1.a $1$ $8.863$ \(\Q\) None 1110.2.a.d \(-1\) \(-1\) \(1\) \(3\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+3q^{7}+\cdots\)
1110.2.a.e 1110.a 1.a $1$ $8.863$ \(\Q\) None 1110.2.a.e \(-1\) \(1\) \(-1\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots\)
1110.2.a.f 1110.a 1.a $1$ $8.863$ \(\Q\) None 1110.2.a.f \(-1\) \(1\) \(-1\) \(1\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots\)
1110.2.a.g 1110.a 1.a $1$ $8.863$ \(\Q\) None 1110.2.a.g \(-1\) \(1\) \(-1\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+4q^{7}+\cdots\)
1110.2.a.h 1110.a 1.a $1$ $8.863$ \(\Q\) None 1110.2.a.h \(-1\) \(1\) \(1\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-4q^{7}+\cdots\)
1110.2.a.i 1110.a 1.a $1$ $8.863$ \(\Q\) None 1110.2.a.i \(1\) \(-1\) \(-1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{8}+\cdots\)
1110.2.a.j 1110.a 1.a $1$ $8.863$ \(\Q\) None 1110.2.a.j \(1\) \(-1\) \(1\) \(-3\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}-3q^{7}+\cdots\)
1110.2.a.k 1110.a 1.a $1$ $8.863$ \(\Q\) None 1110.2.a.k \(1\) \(-1\) \(1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots\)
1110.2.a.l 1110.a 1.a $1$ $8.863$ \(\Q\) None 1110.2.a.l \(1\) \(-1\) \(1\) \(3\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+3q^{7}+\cdots\)
1110.2.a.m 1110.a 1.a $1$ $8.863$ \(\Q\) None 1110.2.a.m \(1\) \(1\) \(-1\) \(-5\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}-5q^{7}+\cdots\)
1110.2.a.n 1110.a 1.a $1$ $8.863$ \(\Q\) None 1110.2.a.n \(1\) \(1\) \(-1\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots\)
1110.2.a.o 1110.a 1.a $1$ $8.863$ \(\Q\) None 1110.2.a.o \(1\) \(1\) \(-1\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+4q^{7}+\cdots\)
1110.2.a.p 1110.a 1.a $2$ $8.863$ \(\Q(\sqrt{33}) \) None 1110.2.a.p \(-2\) \(-2\) \(2\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-\beta q^{7}+\cdots\)
1110.2.a.q 1110.a 1.a $2$ $8.863$ \(\Q(\sqrt{113}) \) None 1110.2.a.q \(-2\) \(2\) \(2\) \(6\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}+3q^{7}+\cdots\)
1110.2.a.r 1110.a 1.a $2$ $8.863$ \(\Q(\sqrt{17}) \) None 1110.2.a.r \(2\) \(-2\) \(-2\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots\)
1110.2.a.s 1110.a 1.a $4$ $8.863$ 4.4.54764.1 None 1110.2.a.s \(4\) \(4\) \(4\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+(1+\beta _{2}+\cdots)q^{7}+\cdots\)
1110.2.d.a 1110.d 5.b $2$ $8.863$ \(\Q(\sqrt{-1}) \) None 1110.2.d.a \(0\) \(0\) \(-4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{2}-iq^{3}-q^{4}+(-2-i)q^{5}+\cdots\)
1110.2.d.b 1110.d 5.b $2$ $8.863$ \(\Q(\sqrt{-1}) \) None 1110.2.d.b \(0\) \(0\) \(-2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{2}+iq^{3}-q^{4}+(-1+2i)q^{5}+\cdots\)
1110.2.d.c 1110.d 5.b $2$ $8.863$ \(\Q(\sqrt{-1}) \) None 1110.2.d.c \(0\) \(0\) \(2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{2}-iq^{3}-q^{4}+(1-2i)q^{5}+q^{6}+\cdots\)
1110.2.d.d 1110.d 5.b $2$ $8.863$ \(\Q(\sqrt{-1}) \) None 1110.2.d.d \(0\) \(0\) \(4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{2}+iq^{3}-q^{4}+(2-i)q^{5}-q^{6}+\cdots\)
1110.2.d.e 1110.d 5.b $2$ $8.863$ \(\Q(\sqrt{-1}) \) None 1110.2.d.e \(0\) \(0\) \(4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{2}+iq^{3}-q^{4}+(2-i)q^{5}+q^{6}+\cdots\)
1110.2.d.f 1110.d 5.b $4$ $8.863$ \(\Q(i, \sqrt{5})\) None 1110.2.d.f \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{1}q^{2}-\beta _{1}q^{3}-q^{4}+\beta _{2}q^{5}-q^{6}+\cdots\)
1110.2.d.g 1110.d 5.b $4$ $8.863$ \(\Q(\zeta_{8})\) None 1110.2.d.g \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\zeta_{8}^{2}q^{2}-\zeta_{8}^{2}q^{3}-q^{4}+(-\zeta_{8}-2\zeta_{8}^{3})q^{5}+\cdots\)
1110.2.d.h 1110.d 5.b $4$ $8.863$ \(\Q(i, \sqrt{6})\) None 1110.2.d.h \(0\) \(0\) \(4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{2}q^{2}-\beta _{2}q^{3}-q^{4}+(1+\beta _{2}+\beta _{3})q^{5}+\cdots\)
1110.2.d.i 1110.d 5.b $6$ $8.863$ 6.0.5161984.1 None 1110.2.d.i \(0\) \(0\) \(2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{4}q^{2}-\beta _{4}q^{3}-q^{4}+(-\beta _{1}-\beta _{3}+\cdots)q^{5}+\cdots\)
1110.2.d.j 1110.d 5.b $8$ $8.863$ 8.0.\(\cdots\).2 None 1110.2.d.j \(0\) \(0\) \(-2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{3}q^{2}-\beta _{3}q^{3}-q^{4}+(\beta _{1}+\beta _{5})q^{5}+\cdots\)
1110.2.e.a 1110.e 185.d $2$ $8.863$ \(\Q(\sqrt{-1}) \) None 1110.2.e.a \(-2\) \(0\) \(4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-q^{2}-iq^{3}+q^{4}+(2-i)q^{5}+iq^{6}+\cdots\)
1110.2.e.b 1110.e 185.d $2$ $8.863$ \(\Q(\sqrt{-1}) \) None 1110.2.e.a \(2\) \(0\) \(-4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+q^{2}-iq^{3}+q^{4}+(-2+i)q^{5}-iq^{6}+\cdots\)
1110.2.e.c 1110.e 185.d $16$ $8.863$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None 1110.2.e.c \(-16\) \(0\) \(-2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-q^{2}+\beta _{7}q^{3}+q^{4}-\beta _{11}q^{5}-\beta _{7}q^{6}+\cdots\)
1110.2.e.d 1110.e 185.d $16$ $8.863$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None 1110.2.e.c \(16\) \(0\) \(2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+q^{2}+\beta _{7}q^{3}+q^{4}+\beta _{11}q^{5}+\beta _{7}q^{6}+\cdots\)
1110.2.h.a 1110.h 37.b $2$ $8.863$ \(\Q(\sqrt{-1}) \) None 1110.2.h.a \(0\) \(-2\) \(0\) \(-2\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{2}-q^{3}-q^{4}+iq^{5}-iq^{6}-q^{7}+\cdots\)
1110.2.h.b 1110.h 37.b $2$ $8.863$ \(\Q(\sqrt{-1}) \) None 1110.2.h.b \(0\) \(-2\) \(0\) \(4\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{2}-q^{3}-q^{4}+iq^{5}-iq^{6}+2q^{7}+\cdots\)
1110.2.h.c 1110.h 37.b $2$ $8.863$ \(\Q(\sqrt{-1}) \) None 1110.2.h.c \(0\) \(2\) \(0\) \(2\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{2}+q^{3}-q^{4}+iq^{5}+iq^{6}+q^{7}+\cdots\)
1110.2.h.d 1110.h 37.b $4$ $8.863$ \(\Q(i, \sqrt{73})\) None 1110.2.h.d \(0\) \(-4\) \(0\) \(-4\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{2}q^{2}-q^{3}-q^{4}+\beta _{2}q^{5}+\beta _{2}q^{6}+\cdots\)
1110.2.h.e 1110.h 37.b $4$ $8.863$ \(\Q(i, \sqrt{33})\) None 1110.2.h.e \(0\) \(-4\) \(0\) \(2\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{2}q^{2}-q^{3}-q^{4}+\beta _{2}q^{5}-\beta _{2}q^{6}+\cdots\)
1110.2.h.f 1110.h 37.b $6$ $8.863$ 6.0.279290944.1 None 1110.2.h.f \(0\) \(6\) \(0\) \(-6\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{2}q^{2}+q^{3}-q^{4}+\beta _{2}q^{5}+\beta _{2}q^{6}+\cdots\)
1110.2.h.g 1110.h 37.b $8$ $8.863$ \(\mathbb{Q}[x]/(x^{8} + \cdots)\) None 1110.2.h.g \(0\) \(8\) \(0\) \(-4\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{2}q^{2}+q^{3}-q^{4}+\beta _{2}q^{5}-\beta _{2}q^{6}+\cdots\)
1110.2.i.a 1110.i 37.c $2$ $8.863$ \(\Q(\sqrt{-3}) \) None 1110.2.i.a \(-1\) \(-1\) \(1\) \(4\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{5}+\cdots\)
1110.2.i.b 1110.i 37.c $2$ $8.863$ \(\Q(\sqrt{-3}) \) None 1110.2.i.b \(-1\) \(1\) \(-1\) \(-3\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-1+\zeta_{6})q^{2}+\zeta_{6}q^{3}-\zeta_{6}q^{4}-\zeta_{6}q^{5}+\cdots\)
1110.2.i.c 1110.i 37.c $2$ $8.863$ \(\Q(\sqrt{-3}) \) None 1110.2.i.c \(1\) \(-1\) \(-1\) \(-2\) $\mathrm{SU}(2)[C_{3}]$ \(q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{3}-\zeta_{6}q^{4}-\zeta_{6}q^{5}+\cdots\)
1110.2.i.d 1110.i 37.c $2$ $8.863$ \(\Q(\sqrt{-3}) \) None 1110.2.i.d \(1\) \(-1\) \(1\) \(1\) $\mathrm{SU}(2)[C_{3}]$ \(q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{5}+\cdots\)
1110.2.i.e 1110.i 37.c $2$ $8.863$ \(\Q(\sqrt{-3}) \) None 1110.2.i.e \(1\) \(1\) \(-1\) \(3\) $\mathrm{SU}(2)[C_{3}]$ \(q+(1-\zeta_{6})q^{2}+\zeta_{6}q^{3}-\zeta_{6}q^{4}-\zeta_{6}q^{5}+\cdots\)
1110.2.i.f 1110.i 37.c $2$ $8.863$ \(\Q(\sqrt{-3}) \) None 1110.2.i.f \(1\) \(1\) \(1\) \(-2\) $\mathrm{SU}(2)[C_{3}]$ \(q+(1-\zeta_{6})q^{2}+\zeta_{6}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{5}+\cdots\)
1110.2.i.g 1110.i 37.c $2$ $8.863$ \(\Q(\sqrt{-3}) \) None 1110.2.i.g \(1\) \(1\) \(1\) \(0\) $\mathrm{SU}(2)[C_{3}]$ \(q+(1-\zeta_{6})q^{2}+\zeta_{6}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{5}+\cdots\)
1110.2.i.h 1110.i 37.c $2$ $8.863$ \(\Q(\sqrt{-3}) \) None 1110.2.i.h \(1\) \(1\) \(1\) \(5\) $\mathrm{SU}(2)[C_{3}]$ \(q+(1-\zeta_{6})q^{2}+\zeta_{6}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{5}+\cdots\)
1110.2.i.i 1110.i 37.c $4$ $8.863$ \(\Q(\sqrt{-3}, \sqrt{145})\) None 1110.2.i.i \(-2\) \(-2\) \(2\) \(-2\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-1+\beta _{2})q^{2}-\beta _{2}q^{3}-\beta _{2}q^{4}+\beta _{2}q^{5}+\cdots\)
1110.2.i.j 1110.i 37.c $4$ $8.863$ \(\Q(\sqrt{-3}, \sqrt{73})\) None 1110.2.i.j \(-2\) \(2\) \(-2\) \(0\) $\mathrm{SU}(2)[C_{3}]$ \(q-\beta _{2}q^{2}+(1-\beta _{2})q^{3}+(-1+\beta _{2})q^{4}+\cdots\)
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