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Label Char Prim Dim $A$ Field CM RM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
2304.1.b.a 2304.b 8.d $2$ $1.150$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{3}) \) \(0\) \(0\) \(0\) \(0\) \(q-iq^{13}+q^{25}-iq^{37}+q^{49}+iq^{61}+\cdots\)
2304.1.e.a 2304.e 3.b $2$ $1.150$ \(\Q(\sqrt{-2}) \) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\beta q^{5}-2q^{13}-\beta q^{17}-q^{25}-\beta q^{29}+\cdots\)
2304.1.e.b 2304.e 3.b $2$ $1.150$ \(\Q(\sqrt{-2}) \) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\beta q^{5}+2q^{13}-\beta q^{17}-q^{25}+\beta q^{29}+\cdots\)
2304.1.g.a 2304.g 4.b $1$ $1.150$ \(\Q\) \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-6}) \) \(\Q(\sqrt{6}) \) \(0\) \(0\) \(-2\) \(0\) \(q-2q^{5}+3q^{25}+2q^{29}+q^{49}+2q^{53}+\cdots\)
2304.1.g.b 2304.g 4.b $1$ $1.150$ \(\Q\) \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-2}) \) \(\Q(\sqrt{2}) \) \(0\) \(0\) \(0\) \(0\) \(q+2q^{17}-q^{25}+2q^{41}+q^{49}+2q^{73}+\cdots\)
2304.1.g.c 2304.g 4.b $1$ $1.150$ \(\Q\) \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-6}) \) \(\Q(\sqrt{6}) \) \(0\) \(0\) \(2\) \(0\) \(q+2q^{5}+3q^{25}-2q^{29}+q^{49}-2q^{53}+\cdots\)
2304.1.g.d 2304.g 4.b $2$ $1.150$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-6}) \) \(\Q(\sqrt{2}) \) \(0\) \(0\) \(0\) \(0\) \(q-iq^{7}-q^{25}-iq^{31}-3q^{49}+q^{73}+\cdots\)
2304.1.h.a 2304.h 24.h $4$ $1.150$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{8}+\zeta_{8}^{3})q^{5}+(-\zeta_{8}-\zeta_{8}^{3})q^{17}+\cdots\)
2304.1.m.a 2304.m 16.f $4$ $1.150$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{8}-\zeta_{8}^{3})q^{7}+(-1+\zeta_{8}^{2})q^{13}+\cdots\)
2304.1.m.b 2304.m 16.f $4$ $1.150$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{8}-\zeta_{8}^{3})q^{7}+(1-\zeta_{8}^{2})q^{13}-\zeta_{8}q^{19}+\cdots\)
2304.1.o.a 2304.o 36.f $2$ $1.150$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-2}) \) None \(0\) \(-1\) \(0\) \(0\) \(q+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{9}+(-1-\zeta_{6})q^{11}+\cdots\)
2304.1.o.b 2304.o 36.f $2$ $1.150$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-2}) \) None \(0\) \(1\) \(0\) \(0\) \(q-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{9}+(1+\zeta_{6})q^{11}+q^{17}+\cdots\)
2304.1.o.c 2304.o 36.f $4$ $1.150$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{12}^{5}q^{3}-\zeta_{12}^{4}q^{9}+\zeta_{12}^{5}q^{11}+\cdots\)
2304.1.q.a 2304.q 9.d $2$ $1.150$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-2}) \) None \(0\) \(-1\) \(0\) \(0\) \(q+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{9}+(1+\zeta_{6})q^{11}+(-\zeta_{6}+\cdots)q^{17}+\cdots\)
2304.1.q.b 2304.q 9.d $2$ $1.150$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-2}) \) None \(0\) \(1\) \(0\) \(0\) \(q-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{9}+(-1-\zeta_{6})q^{11}+\cdots\)
2304.1.q.c 2304.q 9.d $4$ $1.150$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{12}^{5}q^{3}-\zeta_{12}^{4}q^{9}-\zeta_{12}^{5}q^{11}+\cdots\)
2304.1.t.a 2304.t 72.p $4$ $1.150$ \(\Q(\zeta_{12})\) None None \(0\) \(-4\) \(0\) \(0\) \(q-q^{3}+\zeta_{12}^{5}q^{5}-\zeta_{12}q^{7}+q^{9}-\zeta_{12}^{4}q^{11}+\cdots\)
2304.1.t.b 2304.t 72.p $4$ $1.150$ \(\Q(\zeta_{12})\) None None \(0\) \(4\) \(0\) \(0\) \(q+q^{3}+\zeta_{12}^{5}q^{5}+\zeta_{12}q^{7}+q^{9}+\zeta_{12}^{4}q^{11}+\cdots\)
2304.1.z.a 2304.z 144.v $8$ $1.150$ \(\Q(\zeta_{24})\) None None \(0\) \(0\) \(-4\) \(0\) \(q+\zeta_{24}^{5}q^{3}+(-\zeta_{24}^{4}+\zeta_{24}^{10})q^{5}+\cdots\)
2304.1.z.b 2304.z 144.v $8$ $1.150$ \(\Q(\zeta_{24})\) None None \(0\) \(0\) \(4\) \(0\) \(q+\zeta_{24}^{5}q^{3}+(\zeta_{24}^{4}-\zeta_{24}^{10})q^{5}+(\zeta_{24}^{5}+\cdots)q^{7}+\cdots\)
2304.2.a.a 2304.a 1.a $1$ $18.398$ \(\Q\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-4\) \(0\) $+$ $N(\mathrm{U}(1))$ \(q-4q^{5}+4q^{13}+2q^{17}+11q^{25}+\cdots\)
2304.2.a.b 2304.a 1.a $1$ $18.398$ \(\Q\) None None \(0\) \(0\) \(-2\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q-2q^{5}-2q^{7}+4q^{13}+2q^{17}+4q^{19}+\cdots\)
2304.2.a.c 2304.a 1.a $1$ $18.398$ \(\Q\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-2\) \(0\) $+$ $N(\mathrm{U}(1))$ \(q-2q^{5}-4q^{13}+8q^{17}-q^{25}+10q^{29}+\cdots\)
2304.2.a.d 2304.a 1.a $1$ $18.398$ \(\Q\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-2\) \(0\) $-$ $N(\mathrm{U}(1))$ \(q-2q^{5}+4q^{13}-8q^{17}-q^{25}+10q^{29}+\cdots\)
2304.2.a.e 2304.a 1.a $1$ $18.398$ \(\Q\) None None \(0\) \(0\) \(-2\) \(2\) $-$ $\mathrm{SU}(2)$ \(q-2q^{5}+2q^{7}+4q^{13}+2q^{17}-4q^{19}+\cdots\)
2304.2.a.f 2304.a 1.a $1$ $18.398$ \(\Q\) None None \(0\) \(0\) \(0\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q-4q^{7}-4q^{11}+4q^{13}+2q^{17}-4q^{19}+\cdots\)
2304.2.a.g 2304.a 1.a $1$ $18.398$ \(\Q\) None None \(0\) \(0\) \(0\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q-4q^{7}+4q^{11}-4q^{13}+2q^{17}+4q^{19}+\cdots\)
2304.2.a.h 2304.a 1.a $1$ $18.398$ \(\Q\) \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) $+$ $N(\mathrm{U}(1))$ \(q-6q^{11}+6q^{17}+2q^{19}-5q^{25}+\cdots\)
2304.2.a.i 2304.a 1.a $1$ $18.398$ \(\Q\) \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) $-$ $N(\mathrm{U}(1))$ \(q+6q^{11}+6q^{17}-2q^{19}-5q^{25}+\cdots\)
2304.2.a.j 2304.a 1.a $1$ $18.398$ \(\Q\) None None \(0\) \(0\) \(0\) \(4\) $+$ $\mathrm{SU}(2)$ \(q+4q^{7}-4q^{11}-4q^{13}+2q^{17}-4q^{19}+\cdots\)
2304.2.a.k 2304.a 1.a $1$ $18.398$ \(\Q\) None None \(0\) \(0\) \(0\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+4q^{7}+4q^{11}+4q^{13}+2q^{17}+4q^{19}+\cdots\)
2304.2.a.l 2304.a 1.a $1$ $18.398$ \(\Q\) None None \(0\) \(0\) \(2\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+2q^{5}-2q^{7}-4q^{13}+2q^{17}-4q^{19}+\cdots\)
2304.2.a.m 2304.a 1.a $1$ $18.398$ \(\Q\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(2\) \(0\) $+$ $N(\mathrm{U}(1))$ \(q+2q^{5}-4q^{13}-8q^{17}-q^{25}-10q^{29}+\cdots\)
2304.2.a.n 2304.a 1.a $1$ $18.398$ \(\Q\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(2\) \(0\) $-$ $N(\mathrm{U}(1))$ \(q+2q^{5}+4q^{13}+8q^{17}-q^{25}-10q^{29}+\cdots\)
2304.2.a.o 2304.a 1.a $1$ $18.398$ \(\Q\) None None \(0\) \(0\) \(2\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+2q^{5}+2q^{7}-4q^{13}+2q^{17}+4q^{19}+\cdots\)
2304.2.a.p 2304.a 1.a $1$ $18.398$ \(\Q\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(4\) \(0\) $-$ $N(\mathrm{U}(1))$ \(q+4q^{5}-4q^{13}+2q^{17}+11q^{25}+\cdots\)
2304.2.a.q 2304.a 1.a $2$ $18.398$ \(\Q(\sqrt{2}) \) \(\Q(\sqrt{-6}) \) None \(0\) \(0\) \(0\) \(-4\) $+$ $N(\mathrm{U}(1))$ \(q+\beta q^{5}-2q^{7}-2\beta q^{11}+3q^{25}-\beta q^{29}+\cdots\)
2304.2.a.r 2304.a 1.a $2$ $18.398$ \(\Q(\sqrt{2}) \) None None \(0\) \(0\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+\beta q^{5}-\beta q^{7}-4q^{11}+2\beta q^{13}+2q^{17}+\cdots\)
2304.2.a.s 2304.a 1.a $2$ $18.398$ \(\Q(\sqrt{3}) \) None None \(0\) \(0\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+\beta q^{5}-\beta q^{7}-6q^{17}-4q^{19}-2\beta q^{23}+\cdots\)
2304.2.a.t 2304.a 1.a $2$ $18.398$ \(\Q(\sqrt{2}) \) \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) $+$ $N(\mathrm{U}(1))$ \(q+\beta q^{11}-6q^{17}-3\beta q^{19}-5q^{25}+\cdots\)
2304.2.a.u 2304.a 1.a $2$ $18.398$ \(\Q(\sqrt{3}) \) None None \(0\) \(0\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+\beta q^{5}+\beta q^{7}-6q^{17}+4q^{19}+2\beta q^{23}+\cdots\)
2304.2.a.v 2304.a 1.a $2$ $18.398$ \(\Q(\sqrt{3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) $+$ $N(\mathrm{U}(1))$ \(q+\beta q^{7}-2\beta q^{13}-8q^{19}-5q^{25}+\cdots\)
2304.2.a.w 2304.a 1.a $2$ $18.398$ \(\Q(\sqrt{3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) $-$ $N(\mathrm{U}(1))$ \(q-\beta q^{7}-2\beta q^{13}+8q^{19}-5q^{25}+\cdots\)
2304.2.a.x 2304.a 1.a $2$ $18.398$ \(\Q(\sqrt{2}) \) None None \(0\) \(0\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+\beta q^{5}+\beta q^{7}+4q^{11}+2\beta q^{13}+2q^{17}+\cdots\)
2304.2.a.y 2304.a 1.a $2$ $18.398$ \(\Q(\sqrt{2}) \) \(\Q(\sqrt{-6}) \) None \(0\) \(0\) \(0\) \(4\) $-$ $N(\mathrm{U}(1))$ \(q+\beta q^{5}+2q^{7}+2\beta q^{11}+3q^{25}-\beta q^{29}+\cdots\)
2304.2.a.z 2304.a 1.a $4$ $18.398$ \(\Q(\zeta_{24})^+\) \(\Q(\sqrt{-6}) \) None \(0\) \(0\) \(0\) \(0\) $-$ $N(\mathrm{U}(1))$ \(q+\beta _{2}q^{5}+\beta _{1}q^{7}+\beta _{3}q^{11}+7q^{25}+\cdots\)
2304.2.c.a 2304.c 12.b $2$ $18.398$ \(\Q(\sqrt{-2}) \) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta q^{5}-2\beta q^{7}-4q^{11}-2q^{13}+\beta q^{17}+\cdots\)
2304.2.c.b 2304.c 12.b $2$ $18.398$ \(\Q(\sqrt{-2}) \) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta q^{5}-2\beta q^{7}-4q^{11}+2q^{13}-\beta q^{17}+\cdots\)
2304.2.c.c 2304.c 12.b $2$ $18.398$ \(\Q(\sqrt{-2}) \) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+3\beta q^{5}-6q^{13}-5\beta q^{17}-13q^{25}+\cdots\)
2304.2.c.d 2304.c 12.b $2$ $18.398$ \(\Q(\sqrt{-2}) \) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+\beta q^{5}-6q^{13}-3\beta q^{17}+3q^{25}+\cdots\)
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