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Label Char Prim Dim $A$ Field CM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1350.2.a.a 1350.a 1.a $1$ $10.780$ \(\Q\) None \(-1\) \(0\) \(0\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-4q^{7}-q^{8}+3q^{11}-q^{13}+\cdots\)
1350.2.a.b 1350.a 1.a $1$ $10.780$ \(\Q\) None \(-1\) \(0\) \(0\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-4q^{7}-q^{8}+5q^{11}+3q^{13}+\cdots\)
1350.2.a.c 1350.a 1.a $1$ $10.780$ \(\Q\) None \(-1\) \(0\) \(0\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-2q^{7}-q^{8}-3q^{11}+q^{13}+\cdots\)
1350.2.a.d 1350.a 1.a $1$ $10.780$ \(\Q\) None \(-1\) \(0\) \(0\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-2q^{7}-q^{8}+3q^{11}-5q^{13}+\cdots\)
1350.2.a.e 1350.a 1.a $1$ $10.780$ \(\Q\) None \(-1\) \(0\) \(0\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-2q^{7}-q^{8}+3q^{11}-5q^{13}+\cdots\)
1350.2.a.f 1350.a 1.a $1$ $10.780$ \(\Q\) None \(-1\) \(0\) \(0\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{7}-q^{8}+2q^{13}+q^{14}+\cdots\)
1350.2.a.g 1350.a 1.a $1$ $10.780$ \(\Q\) None \(-1\) \(0\) \(0\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+q^{7}-q^{8}-2q^{13}-q^{14}+\cdots\)
1350.2.a.h 1350.a 1.a $1$ $10.780$ \(\Q\) None \(-1\) \(0\) \(0\) \(1\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+q^{7}-q^{8}+3q^{11}+4q^{13}+\cdots\)
1350.2.a.i 1350.a 1.a $1$ $10.780$ \(\Q\) None \(-1\) \(0\) \(0\) \(2\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+2q^{7}-q^{8}-3q^{11}+5q^{13}+\cdots\)
1350.2.a.j 1350.a 1.a $1$ $10.780$ \(\Q\) None \(-1\) \(0\) \(0\) \(4\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+4q^{7}-q^{8}-5q^{11}-3q^{13}+\cdots\)
1350.2.a.k 1350.a 1.a $1$ $10.780$ \(\Q\) None \(-1\) \(0\) \(0\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+4q^{7}-q^{8}-3q^{11}+q^{13}+\cdots\)
1350.2.a.l 1350.a 1.a $1$ $10.780$ \(\Q\) None \(1\) \(0\) \(0\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-4q^{7}+q^{8}-5q^{11}+3q^{13}+\cdots\)
1350.2.a.m 1350.a 1.a $1$ $10.780$ \(\Q\) None \(1\) \(0\) \(0\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-4q^{7}+q^{8}-3q^{11}-q^{13}+\cdots\)
1350.2.a.n 1350.a 1.a $1$ $10.780$ \(\Q\) None \(1\) \(0\) \(0\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-2q^{7}+q^{8}-3q^{11}-5q^{13}+\cdots\)
1350.2.a.o 1350.a 1.a $1$ $10.780$ \(\Q\) None \(1\) \(0\) \(0\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-2q^{7}+q^{8}-3q^{11}-5q^{13}+\cdots\)
1350.2.a.p 1350.a 1.a $1$ $10.780$ \(\Q\) None \(1\) \(0\) \(0\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-2q^{7}+q^{8}+3q^{11}+q^{13}+\cdots\)
1350.2.a.q 1350.a 1.a $1$ $10.780$ \(\Q\) None \(1\) \(0\) \(0\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{7}+q^{8}+2q^{13}-q^{14}+\cdots\)
1350.2.a.r 1350.a 1.a $1$ $10.780$ \(\Q\) None \(1\) \(0\) \(0\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{7}+q^{8}-3q^{11}+4q^{13}+\cdots\)
1350.2.a.s 1350.a 1.a $1$ $10.780$ \(\Q\) None \(1\) \(0\) \(0\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{7}+q^{8}-2q^{13}+q^{14}+\cdots\)
1350.2.a.t 1350.a 1.a $1$ $10.780$ \(\Q\) None \(1\) \(0\) \(0\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+2q^{7}+q^{8}+3q^{11}+5q^{13}+\cdots\)
1350.2.a.u 1350.a 1.a $1$ $10.780$ \(\Q\) None \(1\) \(0\) \(0\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+4q^{7}+q^{8}+3q^{11}+q^{13}+\cdots\)
1350.2.a.v 1350.a 1.a $1$ $10.780$ \(\Q\) None \(1\) \(0\) \(0\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+4q^{7}+q^{8}+5q^{11}-3q^{13}+\cdots\)
1350.2.a.w 1350.a 1.a $2$ $10.780$ \(\Q(\sqrt{19}) \) None \(-2\) \(0\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+\beta q^{7}-q^{8}+\beta q^{11}-\beta q^{14}+\cdots\)
1350.2.a.x 1350.a 1.a $2$ $10.780$ \(\Q(\sqrt{19}) \) None \(2\) \(0\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+\beta q^{7}+q^{8}-\beta q^{11}+\beta q^{14}+\cdots\)
1350.2.c.a 1350.c 5.b $2$ $10.780$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{2}-q^{4}+2iq^{7}-iq^{8}-3q^{11}+\cdots\)
1350.2.c.b 1350.c 5.b $2$ $10.780$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{2}-q^{4}+iq^{7}-iq^{8}-3q^{11}+\cdots\)
1350.2.c.c 1350.c 5.b $2$ $10.780$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{2}-q^{4}+2iq^{7}+iq^{8}-3q^{11}+\cdots\)
1350.2.c.d 1350.c 5.b $2$ $10.780$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{2}-q^{4}+2iq^{7}+iq^{8}-3q^{11}+\cdots\)
1350.2.c.e 1350.c 5.b $2$ $10.780$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{2}-q^{4}+4iq^{7}+iq^{8}-3q^{11}+\cdots\)
1350.2.c.f 1350.c 5.b $2$ $10.780$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{2}-q^{4}+iq^{7}-iq^{8}+2iq^{13}+\cdots\)
1350.2.c.g 1350.c 5.b $2$ $10.780$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{2}-q^{4}+iq^{7}+iq^{8}+2iq^{13}+\cdots\)
1350.2.c.h 1350.c 5.b $2$ $10.780$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{2}-q^{4}+4iq^{7}-iq^{8}+3q^{11}+\cdots\)
1350.2.c.i 1350.c 5.b $2$ $10.780$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{2}-q^{4}+2iq^{7}-iq^{8}+3q^{11}+\cdots\)
1350.2.c.j 1350.c 5.b $2$ $10.780$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{2}-q^{4}+2iq^{7}-iq^{8}+3q^{11}+\cdots\)
1350.2.c.k 1350.c 5.b $2$ $10.780$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{2}-q^{4}+iq^{7}+iq^{8}+3q^{11}+\cdots\)
1350.2.c.l 1350.c 5.b $2$ $10.780$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{2}-q^{4}+2iq^{7}+iq^{8}+3q^{11}+\cdots\)
1350.2.e.a 1350.e 9.c $2$ $10.780$ \(\Q(\sqrt{-3}) \) None \(-1\) \(0\) \(0\) \(-1\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}+(-1+\zeta_{6})q^{7}+\cdots\)
1350.2.e.b 1350.e 9.c $2$ $10.780$ \(\Q(\sqrt{-3}) \) None \(-1\) \(0\) \(0\) \(-1\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}+(-1+\zeta_{6})q^{7}+\cdots\)
1350.2.e.c 1350.e 9.c $2$ $10.780$ \(\Q(\sqrt{-3}) \) None \(-1\) \(0\) \(0\) \(2\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}+(2-2\zeta_{6})q^{7}+\cdots\)
1350.2.e.d 1350.e 9.c $2$ $10.780$ \(\Q(\sqrt{-3}) \) None \(-1\) \(0\) \(0\) \(2\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}+(2-2\zeta_{6})q^{7}+\cdots\)
1350.2.e.e 1350.e 9.c $2$ $10.780$ \(\Q(\sqrt{-3}) \) None \(-1\) \(0\) \(0\) \(4\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}+(4-4\zeta_{6})q^{7}+\cdots\)
1350.2.e.f 1350.e 9.c $2$ $10.780$ \(\Q(\sqrt{-3}) \) None \(1\) \(0\) \(0\) \(-4\) $\mathrm{SU}(2)[C_{3}]$ \(q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}+(-4+4\zeta_{6})q^{7}+\cdots\)
1350.2.e.g 1350.e 9.c $2$ $10.780$ \(\Q(\sqrt{-3}) \) None \(1\) \(0\) \(0\) \(-4\) $\mathrm{SU}(2)[C_{3}]$ \(q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}+(-4+4\zeta_{6})q^{7}+\cdots\)
1350.2.e.h 1350.e 9.c $2$ $10.780$ \(\Q(\sqrt{-3}) \) None \(1\) \(0\) \(0\) \(-2\) $\mathrm{SU}(2)[C_{3}]$ \(q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}+(-2+2\zeta_{6})q^{7}+\cdots\)
1350.2.e.i 1350.e 9.c $2$ $10.780$ \(\Q(\sqrt{-3}) \) None \(1\) \(0\) \(0\) \(1\) $\mathrm{SU}(2)[C_{3}]$ \(q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}+(1-\zeta_{6})q^{7}+\cdots\)
1350.2.e.j 1350.e 9.c $4$ $10.780$ \(\Q(\sqrt{-2}, \sqrt{-3})\) None \(-2\) \(0\) \(0\) \(-4\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-1+\beta _{1})q^{2}-\beta _{1}q^{4}+(-2+2\beta _{1}+\cdots)q^{7}+\cdots\)
1350.2.e.k 1350.e 9.c $4$ $10.780$ \(\Q(\sqrt{-2}, \sqrt{-3})\) None \(-2\) \(0\) \(0\) \(-4\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-1+\beta _{1})q^{2}-\beta _{1}q^{4}+(-2+2\beta _{1}+\cdots)q^{7}+\cdots\)
1350.2.e.l 1350.e 9.c $4$ $10.780$ \(\Q(\sqrt{-3}, \sqrt{-11})\) None \(2\) \(0\) \(0\) \(1\) $\mathrm{SU}(2)[C_{3}]$ \(q+\beta _{1}q^{2}+(-1+\beta _{1})q^{4}+\beta _{3}q^{7}-q^{8}+\cdots\)
1350.2.e.m 1350.e 9.c $4$ $10.780$ \(\Q(\sqrt{-2}, \sqrt{-3})\) None \(2\) \(0\) \(0\) \(4\) $\mathrm{SU}(2)[C_{3}]$ \(q+(1-\beta _{1})q^{2}-\beta _{1}q^{4}+(2-2\beta _{1}+\beta _{2}+\cdots)q^{7}+\cdots\)
1350.2.e.n 1350.e 9.c $4$ $10.780$ \(\Q(\sqrt{-2}, \sqrt{-3})\) None \(2\) \(0\) \(0\) \(4\) $\mathrm{SU}(2)[C_{3}]$ \(q+(1-\beta _{1})q^{2}-\beta _{1}q^{4}+(2-2\beta _{1}+\beta _{2}+\cdots)q^{7}+\cdots\)
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