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Label Char Prim Dim $A$ Field CM RM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
960.1.c.a 960.c 15.d $4$ $0.479$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-5}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{8}^{3}q^{3}+\zeta_{8}^{2}q^{5}+(\zeta_{8}+\zeta_{8}^{3})q^{7}+\cdots\)
960.1.u.a 960.u 120.q $4$ $0.479$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-6}) \) None \(0\) \(0\) \(0\) \(-4\) \(q-\zeta_{8}^{3}q^{3}-\zeta_{8}^{3}q^{5}+(-1-\zeta_{8}^{2})q^{7}+\cdots\)
960.1.u.b 960.u 120.q $4$ $0.479$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-6}) \) None \(0\) \(0\) \(0\) \(4\) \(q-\zeta_{8}^{3}q^{3}+\zeta_{8}^{3}q^{5}+(1+\zeta_{8}^{2})q^{7}+\cdots\)
960.1.bm.a 960.bm 240.am $4$ $0.479$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{8}q^{3}-\zeta_{8}^{3}q^{5}+\zeta_{8}^{2}q^{9}+q^{15}+\cdots\)
960.1.cl.a 960.cl 960.bl $16$ $0.479$ \(\Q(\zeta_{32})\) \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{32}^{13}q^{2}+\zeta_{32}q^{3}-\zeta_{32}^{10}q^{4}+\cdots\)
960.2.a.a 960.a 1.a $1$ $7.666$ \(\Q\) None None \(0\) \(-1\) \(-1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}-4q^{11}+2q^{13}+\cdots\)
960.2.a.b 960.a 1.a $1$ $7.666$ \(\Q\) None None \(0\) \(-1\) \(-1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}-2q^{13}+q^{15}+6q^{17}+\cdots\)
960.2.a.c 960.a 1.a $1$ $7.666$ \(\Q\) None None \(0\) \(-1\) \(-1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}+4q^{11}-6q^{13}+\cdots\)
960.2.a.d 960.a 1.a $1$ $7.666$ \(\Q\) None None \(0\) \(-1\) \(-1\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+4q^{7}+q^{9}+2q^{13}+q^{15}+\cdots\)
960.2.a.e 960.a 1.a $1$ $7.666$ \(\Q\) None None \(0\) \(-1\) \(1\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-4q^{7}+q^{9}-2q^{13}-q^{15}+\cdots\)
960.2.a.f 960.a 1.a $1$ $7.666$ \(\Q\) None None \(0\) \(-1\) \(1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}-4q^{11}-2q^{13}+\cdots\)
960.2.a.g 960.a 1.a $1$ $7.666$ \(\Q\) None None \(0\) \(-1\) \(1\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+4q^{7}+q^{9}+6q^{13}-q^{15}+\cdots\)
960.2.a.h 960.a 1.a $1$ $7.666$ \(\Q\) None None \(0\) \(-1\) \(1\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+4q^{7}+q^{9}+4q^{11}-6q^{13}+\cdots\)
960.2.a.i 960.a 1.a $1$ $7.666$ \(\Q\) None None \(0\) \(1\) \(-1\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}-4q^{7}+q^{9}+2q^{13}-q^{15}+\cdots\)
960.2.a.j 960.a 1.a $1$ $7.666$ \(\Q\) None None \(0\) \(1\) \(-1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}-4q^{11}-6q^{13}+\cdots\)
960.2.a.k 960.a 1.a $1$ $7.666$ \(\Q\) None None \(0\) \(1\) \(-1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}-2q^{13}-q^{15}+6q^{17}+\cdots\)
960.2.a.l 960.a 1.a $1$ $7.666$ \(\Q\) None None \(0\) \(1\) \(-1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}+4q^{11}+2q^{13}+\cdots\)
960.2.a.m 960.a 1.a $1$ $7.666$ \(\Q\) None None \(0\) \(1\) \(1\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-4q^{7}+q^{9}-4q^{11}-6q^{13}+\cdots\)
960.2.a.n 960.a 1.a $1$ $7.666$ \(\Q\) None None \(0\) \(1\) \(1\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-4q^{7}+q^{9}+6q^{13}+q^{15}+\cdots\)
960.2.a.o 960.a 1.a $1$ $7.666$ \(\Q\) None None \(0\) \(1\) \(1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}+4q^{11}-2q^{13}+\cdots\)
960.2.a.p 960.a 1.a $1$ $7.666$ \(\Q\) None None \(0\) \(1\) \(1\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+4q^{7}+q^{9}-2q^{13}+q^{15}+\cdots\)
960.2.b.a 960.b 24.f $4$ $7.666$ \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(-4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\zeta_{8}q^{3}-q^{5}+(\zeta_{8}-\zeta_{8}^{2})q^{7}+(1-\zeta_{8}^{3})q^{9}+\cdots\)
960.2.b.b 960.b 24.f $4$ $7.666$ \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\zeta_{8}^{2}q^{3}+q^{5}+(-\zeta_{8}+\zeta_{8}^{2})q^{7}+\cdots\)
960.2.b.c 960.b 24.f $12$ $7.666$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None None \(0\) \(0\) \(-12\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{5}q^{3}-q^{5}+(-\beta _{4}+\beta _{5}+\beta _{6})q^{7}+\cdots\)
960.2.b.d 960.b 24.f $12$ $7.666$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None None \(0\) \(0\) \(12\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{4}q^{3}+q^{5}+(-\beta _{4}+\beta _{5}+\beta _{6})q^{7}+\cdots\)
960.2.d.a 960.d 40.f $2$ $7.666$ \(\Q(\sqrt{-1}) \) None None \(0\) \(-2\) \(-2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-q^{3}+(-1-i)q^{5}+iq^{7}+q^{9}-iq^{11}+\cdots\)
960.2.d.b 960.d 40.f $2$ $7.666$ \(\Q(\sqrt{-1}) \) None None \(0\) \(-2\) \(2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-q^{3}+(1-i)q^{5}+iq^{7}+q^{9}+iq^{11}+\cdots\)
960.2.d.c 960.d 40.f $2$ $7.666$ \(\Q(\sqrt{-1}) \) None None \(0\) \(2\) \(-2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+q^{3}+(-1+i)q^{5}+iq^{7}+q^{9}-iq^{11}+\cdots\)
960.2.d.d 960.d 40.f $2$ $7.666$ \(\Q(\sqrt{-1}) \) None None \(0\) \(2\) \(2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+q^{3}+(1+i)q^{5}+iq^{7}+q^{9}+iq^{11}+\cdots\)
960.2.d.e 960.d 40.f $8$ $7.666$ 8.0.49787136.1 None None \(0\) \(-8\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-q^{3}-\beta _{4}q^{5}+(-\beta _{4}+\beta _{5})q^{7}+q^{9}+\cdots\)
960.2.d.f 960.d 40.f $8$ $7.666$ 8.0.49787136.1 None None \(0\) \(8\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+q^{3}+\beta _{4}q^{5}+(-\beta _{4}+\beta _{5})q^{7}+q^{9}+\cdots\)
960.2.f.a 960.f 5.b $2$ $7.666$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(-4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{3}+(-2+i)q^{5}+2iq^{7}-q^{9}+\cdots\)
960.2.f.b 960.f 5.b $2$ $7.666$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(-4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{3}+(-2-i)q^{5}+2iq^{7}-q^{9}+\cdots\)
960.2.f.c 960.f 5.b $2$ $7.666$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(-2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{3}+(-1-2i)q^{5}+4iq^{7}-q^{9}+\cdots\)
960.2.f.d 960.f 5.b $2$ $7.666$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(-2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{3}+(-1-2i)q^{5}+4iq^{7}-q^{9}+\cdots\)
960.2.f.e 960.f 5.b $2$ $7.666$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(-2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{3}+(-1+2i)q^{5}+4iq^{7}-q^{9}+\cdots\)
960.2.f.f 960.f 5.b $2$ $7.666$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(-2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{3}+(-1+2i)q^{5}+4iq^{7}-q^{9}+\cdots\)
960.2.f.g 960.f 5.b $2$ $7.666$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{3}+(2-i)q^{5}+2iq^{7}-q^{9}-6q^{11}+\cdots\)
960.2.f.h 960.f 5.b $2$ $7.666$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{3}+(2+i)q^{5}+2iq^{7}-q^{9}-2q^{11}+\cdots\)
960.2.f.i 960.f 5.b $2$ $7.666$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{3}+(2-i)q^{5}+2iq^{7}-q^{9}+2q^{11}+\cdots\)
960.2.f.j 960.f 5.b $2$ $7.666$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{3}+(2+i)q^{5}+2iq^{7}-q^{9}+6q^{11}+\cdots\)
960.2.f.k 960.f 5.b $4$ $7.666$ \(\Q(i, \sqrt{5})\) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{1}q^{3}-\beta _{2}q^{5}+2\beta _{1}q^{7}-q^{9}+2\beta _{3}q^{11}+\cdots\)
960.2.h.a 960.h 12.b $4$ $7.666$ \(\Q(\zeta_{8})\) None None \(0\) \(-4\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+(-1+\zeta_{8}^{2})q^{3}-\zeta_{8}q^{5}+(2\zeta_{8}+2\zeta_{8}^{2}+\cdots)q^{7}+\cdots\)
960.2.h.b 960.h 12.b $4$ $7.666$ \(\Q(\zeta_{8})\) None None \(0\) \(-4\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+(-1-\zeta_{8}^{2}+\zeta_{8}^{3})q^{3}-\zeta_{8}^{2}q^{5}+\cdots\)
960.2.h.c 960.h 12.b $4$ $7.666$ \(\Q(i, \sqrt{6})\) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{1}q^{3}+\beta _{2}q^{5}+(\beta _{1}+\beta _{3})q^{7}+3\beta _{2}q^{9}+\cdots\)
960.2.h.d 960.h 12.b $4$ $7.666$ \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\zeta_{12}^{3}q^{3}-\zeta_{12}q^{5}-2\zeta_{12}^{2}q^{7}+\cdots\)
960.2.h.e 960.h 12.b $4$ $7.666$ \(\Q(\zeta_{8})\) None None \(0\) \(4\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+(1+\zeta_{8}^{2})q^{3}+\zeta_{8}q^{5}+(2\zeta_{8}+2\zeta_{8}^{2}+\cdots)q^{7}+\cdots\)
960.2.h.f 960.h 12.b $4$ $7.666$ \(\Q(\zeta_{8})\) None None \(0\) \(4\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+(1+\zeta_{8}-\zeta_{8}^{2})q^{3}+\zeta_{8}^{2}q^{5}+(-\zeta_{8}+\cdots)q^{7}+\cdots\)
960.2.h.g 960.h 12.b $8$ $7.666$ 8.0.342102016.5 None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{5}q^{3}-\beta _{1}q^{5}+(\beta _{3}+\beta _{4})q^{7}+\beta _{6}q^{9}+\cdots\)
960.2.k.a 960.k 8.b $2$ $7.666$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(0\) \(-8\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{3}-iq^{5}-4q^{7}-q^{9}-4iq^{11}+\cdots\)
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