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Label Char Prim Dim $A$ Field CM RM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
912.1.b.a 912.b 228.b $1$ $0.455$ \(\Q\) \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-57}) \) \(\Q(\sqrt{19}) \) \(0\) \(-1\) \(0\) \(0\) \(q-q^{3}+q^{9}+q^{19}+q^{25}-q^{27}+2q^{31}+\cdots\)
912.1.b.b 912.b 228.b $1$ $0.455$ \(\Q\) \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-57}) \) \(\Q(\sqrt{19}) \) \(0\) \(1\) \(0\) \(0\) \(q+q^{3}+q^{9}-q^{19}+q^{25}+q^{27}-2q^{31}+\cdots\)
912.1.bj.a 912.bj 228.n $2$ $0.455$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(0\) \(q-\zeta_{6}q^{3}+(\zeta_{6}+\zeta_{6}^{2})q^{7}+\zeta_{6}^{2}q^{9}+\cdots\)
912.1.bj.b 912.bj 228.n $2$ $0.455$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(0\) \(q+\zeta_{6}q^{3}+(-\zeta_{6}-\zeta_{6}^{2})q^{7}+\zeta_{6}^{2}q^{9}+\cdots\)
912.1.bl.a 912.bl 57.h $2$ $0.455$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(2\) \(q+\zeta_{6}q^{3}+q^{7}+\zeta_{6}^{2}q^{9}-\zeta_{6}^{2}q^{13}+\cdots\)
912.1.cb.a 912.cb 57.l $6$ $0.455$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{18}^{8}q^{3}+(-\zeta_{18}^{2}-\zeta_{18}^{4})q^{7}+\cdots\)
912.1.ce.a 912.ce 228.u $6$ $0.455$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{18}^{8}q^{3}+(\zeta_{18}^{2}-\zeta_{18}^{4})q^{7}-\zeta_{18}^{7}q^{9}+\cdots\)
912.1.ce.b 912.ce 228.u $6$ $0.455$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{18}^{8}q^{3}+(-\zeta_{18}^{2}+\zeta_{18}^{4})q^{7}+\cdots\)
912.2.a.a 912.a 1.a $1$ $7.282$ \(\Q\) None None \(0\) \(-1\) \(-3\) \(3\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}-3q^{5}+3q^{7}+q^{9}+q^{11}-2q^{13}+\cdots\)
912.2.a.b 912.a 1.a $1$ $7.282$ \(\Q\) None None \(0\) \(-1\) \(-2\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{5}+q^{9}+6q^{13}+2q^{15}+\cdots\)
912.2.a.c 912.a 1.a $1$ $7.282$ \(\Q\) None None \(0\) \(-1\) \(0\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+4q^{7}+q^{9}-4q^{13}+6q^{17}+\cdots\)
912.2.a.d 912.a 1.a $1$ $7.282$ \(\Q\) None None \(0\) \(-1\) \(1\) \(-3\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-3q^{7}+q^{9}+3q^{11}-6q^{13}+\cdots\)
912.2.a.e 912.a 1.a $1$ $7.282$ \(\Q\) None None \(0\) \(-1\) \(2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+2q^{5}+q^{9}+2q^{13}-2q^{15}+\cdots\)
912.2.a.f 912.a 1.a $1$ $7.282$ \(\Q\) None None \(0\) \(1\) \(-3\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}-3q^{5}-q^{7}+q^{9}+5q^{11}-6q^{13}+\cdots\)
912.2.a.g 912.a 1.a $1$ $7.282$ \(\Q\) None None \(0\) \(1\) \(-3\) \(5\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}-3q^{5}+5q^{7}+q^{9}-q^{11}+2q^{13}+\cdots\)
912.2.a.h 912.a 1.a $1$ $7.282$ \(\Q\) None None \(0\) \(1\) \(0\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}-4q^{7}+q^{9}-4q^{11}-2q^{17}+\cdots\)
912.2.a.i 912.a 1.a $1$ $7.282$ \(\Q\) None None \(0\) \(1\) \(1\) \(3\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+3q^{7}+q^{9}+5q^{11}-2q^{13}+\cdots\)
912.2.a.j 912.a 1.a $1$ $7.282$ \(\Q\) None None \(0\) \(1\) \(2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+2q^{5}+q^{9}-2q^{11}+2q^{13}+\cdots\)
912.2.a.k 912.a 1.a $1$ $7.282$ \(\Q\) None None \(0\) \(1\) \(2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+2q^{5}+q^{9}+4q^{11}+2q^{13}+\cdots\)
912.2.a.l 912.a 1.a $1$ $7.282$ \(\Q\) None None \(0\) \(1\) \(4\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+4q^{5}-4q^{7}+q^{9}+4q^{11}+\cdots\)
912.2.a.m 912.a 1.a $2$ $7.282$ \(\Q(\sqrt{17}) \) None None \(0\) \(-2\) \(1\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+\beta q^{5}-\beta q^{7}+q^{9}+(-4+\beta )q^{11}+\cdots\)
912.2.a.n 912.a 1.a $2$ $7.282$ \(\Q(\sqrt{33}) \) None None \(0\) \(-2\) \(3\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+(1+\beta )q^{5}+(-1+\beta )q^{7}+q^{9}+\cdots\)
912.2.a.o 912.a 1.a $2$ $7.282$ \(\Q(\sqrt{41}) \) None None \(0\) \(2\) \(-1\) \(3\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}-\beta q^{5}+(2-\beta )q^{7}+q^{9}+(-2+\cdots)q^{11}+\cdots\)
912.2.d.a 912.d 12.b $12$ $7.282$ 12.0.\(\cdots\).2 None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{9}q^{3}+(-\beta _{2}+\beta _{3}+\beta _{10})q^{5}+(-\beta _{1}+\cdots)q^{7}+\cdots\)
912.2.d.b 912.d 12.b $24$ $7.282$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
912.2.f.a 912.f 57.d $2$ $7.282$ \(\Q(\sqrt{-3}) \) None None \(0\) \(-3\) \(0\) \(-2\) $\mathrm{SU}(2)[C_{2}]$ \(q+(-1-\zeta_{6})q^{3}+(2-4\zeta_{6})q^{5}-q^{7}+\cdots\)
912.2.f.b 912.f 57.d $2$ $7.282$ \(\Q(\sqrt{-2}) \) None None \(0\) \(-2\) \(0\) \(8\) $\mathrm{SU}(2)[C_{2}]$ \(q+(-1+\beta )q^{3}+\beta q^{5}+4q^{7}+(-1+\cdots)q^{9}+\cdots\)
912.2.f.c 912.f 57.d $2$ $7.282$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-8\) $\mathrm{U}(1)[D_{2}]$ \(q+\zeta_{6}q^{3}-4q^{7}-3q^{9}-4\zeta_{6}q^{13}+\cdots\)
912.2.f.d 912.f 57.d $2$ $7.282$ \(\Q(\sqrt{-2}) \) None None \(0\) \(2\) \(0\) \(8\) $\mathrm{SU}(2)[C_{2}]$ \(q+(1-\beta )q^{3}+\beta q^{5}+4q^{7}+(-1-2\beta )q^{9}+\cdots\)
912.2.f.e 912.f 57.d $2$ $7.282$ \(\Q(\sqrt{-3}) \) None None \(0\) \(3\) \(0\) \(-2\) $\mathrm{SU}(2)[C_{2}]$ \(q+(1+\zeta_{6})q^{3}+(2-4\zeta_{6})q^{5}-q^{7}+3\zeta_{6}q^{9}+\cdots\)
912.2.f.f 912.f 57.d $4$ $7.282$ \(\Q(\sqrt{2}, \sqrt{-5})\) None None \(0\) \(0\) \(0\) \(-4\) $\mathrm{SU}(2)[C_{2}]$ \(q+(-\beta _{1}-\beta _{2})q^{3}-\beta _{3}q^{5}-q^{7}+(-2+\cdots)q^{9}+\cdots\)
912.2.f.g 912.f 57.d $4$ $7.282$ \(\Q(\sqrt{-2}, \sqrt{-5})\) None None \(0\) \(0\) \(0\) \(4\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{1}q^{3}-\beta _{2}q^{5}+q^{7}+(2-\beta _{2})q^{9}+\cdots\)
912.2.f.h 912.f 57.d $10$ $7.282$ 10.0.\(\cdots\).1 None None \(0\) \(-1\) \(0\) \(2\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{1}q^{3}-\beta _{6}q^{5}+\beta _{4}q^{7}+\beta _{2}q^{9}+\cdots\)
912.2.f.i 912.f 57.d $10$ $7.282$ 10.0.\(\cdots\).1 None None \(0\) \(1\) \(0\) \(2\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{1}q^{3}-\beta _{6}q^{5}+\beta _{4}q^{7}+\beta _{2}q^{9}+\cdots\)
912.2.k.a 912.k 76.d $2$ $7.282$ \(\Q(\sqrt{-2}) \) None None \(0\) \(-2\) \(-4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-q^{3}-2q^{5}+2\beta q^{7}+q^{9}-\beta q^{11}+\cdots\)
912.2.k.b 912.k 76.d $2$ $7.282$ \(\Q(\sqrt{-3}) \) None None \(0\) \(-2\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-q^{3}+2\zeta_{6}q^{7}+q^{9}+2\zeta_{6}q^{11}-2\zeta_{6}q^{13}+\cdots\)
912.2.k.c 912.k 76.d $2$ $7.282$ \(\Q(\sqrt{-3}) \) None None \(0\) \(-2\) \(6\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-q^{3}+3q^{5}+\zeta_{6}q^{7}+q^{9}-3\zeta_{6}q^{11}+\cdots\)
912.2.k.d 912.k 76.d $2$ $7.282$ \(\Q(\sqrt{-2}) \) None None \(0\) \(2\) \(-4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+q^{3}-2q^{5}-2\beta q^{7}+q^{9}+\beta q^{11}+\cdots\)
912.2.k.e 912.k 76.d $2$ $7.282$ \(\Q(\sqrt{-3}) \) None None \(0\) \(2\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+q^{3}-2\zeta_{6}q^{7}+q^{9}-2\zeta_{6}q^{11}-2\zeta_{6}q^{13}+\cdots\)
912.2.k.f 912.k 76.d $2$ $7.282$ \(\Q(\sqrt{-3}) \) None None \(0\) \(2\) \(6\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+q^{3}+3q^{5}-\zeta_{6}q^{7}+q^{9}+3\zeta_{6}q^{11}+\cdots\)
912.2.k.g 912.k 76.d $4$ $7.282$ \(\Q(\sqrt{-3}, \sqrt{-11})\) None None \(0\) \(-4\) \(-2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-q^{3}-\beta _{3}q^{5}+\beta _{1}q^{7}+q^{9}+\beta _{1}q^{11}+\cdots\)
912.2.k.h 912.k 76.d $4$ $7.282$ \(\Q(\sqrt{-3}, \sqrt{-11})\) None None \(0\) \(4\) \(-2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+q^{3}-\beta _{3}q^{5}+\beta _{1}q^{7}+q^{9}+\beta _{1}q^{11}+\cdots\)
912.2.q.a 912.q 19.c $2$ $7.282$ \(\Q(\sqrt{-3}) \) None None \(0\) \(-1\) \(0\) \(-2\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-1+\zeta_{6})q^{3}-q^{7}-\zeta_{6}q^{9}+2q^{11}+\cdots\)
912.2.q.b 912.q 19.c $2$ $7.282$ \(\Q(\sqrt{-3}) \) None None \(0\) \(-1\) \(0\) \(-2\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-1+\zeta_{6})q^{3}-q^{7}-\zeta_{6}q^{9}+2q^{11}+\cdots\)
912.2.q.c 912.q 19.c $2$ $7.282$ \(\Q(\sqrt{-3}) \) None None \(0\) \(-1\) \(2\) \(10\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-1+\zeta_{6})q^{3}+(2-2\zeta_{6})q^{5}+5q^{7}+\cdots\)
912.2.q.d 912.q 19.c $2$ $7.282$ \(\Q(\sqrt{-3}) \) None None \(0\) \(-1\) \(4\) \(6\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-1+\zeta_{6})q^{3}+(4-4\zeta_{6})q^{5}+3q^{7}+\cdots\)
912.2.q.e 912.q 19.c $2$ $7.282$ \(\Q(\sqrt{-3}) \) None None \(0\) \(1\) \(-2\) \(6\) $\mathrm{SU}(2)[C_{3}]$ \(q+(1-\zeta_{6})q^{3}+(-2+2\zeta_{6})q^{5}+3q^{7}+\cdots\)
912.2.q.f 912.q 19.c $2$ $7.282$ \(\Q(\sqrt{-3}) \) None None \(0\) \(1\) \(0\) \(-6\) $\mathrm{SU}(2)[C_{3}]$ \(q+(1-\zeta_{6})q^{3}-3q^{7}-\zeta_{6}q^{9}-2q^{11}+\cdots\)
912.2.q.g 912.q 19.c $4$ $7.282$ \(\Q(\sqrt{-3}, \sqrt{7})\) None None \(0\) \(-2\) \(-2\) \(-8\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-1-\beta _{2})q^{3}+(-1+\beta _{1}-\beta _{2})q^{5}+\cdots\)
912.2.q.h 912.q 19.c $4$ $7.282$ \(\Q(\sqrt{-3}, \sqrt{5})\) None None \(0\) \(-2\) \(-2\) \(0\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-1-\beta _{1})q^{3}+(-1-\beta _{1}-\beta _{2})q^{5}+\cdots\)
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