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Label Char Prim Dim $A$ Field CM RM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1960.1.i.a 1960.i 40.e $1$ $0.978$ \(\Q\) \(\Q(\sqrt{-10}) \) None \(-1\) \(0\) \(-1\) \(0\) \(q-q^{2}+q^{4}-q^{5}-q^{8}+q^{9}+q^{10}+\cdots\)
1960.1.i.b 1960.i 40.e $1$ $0.978$ \(\Q\) \(\Q(\sqrt{-10}) \) None \(-1\) \(0\) \(1\) \(0\) \(q-q^{2}+q^{4}+q^{5}-q^{8}+q^{9}-q^{10}+\cdots\)
1960.1.i.c 1960.i 40.e $1$ $0.978$ \(\Q\) \(\Q(\sqrt{-10}) \) None \(1\) \(0\) \(-1\) \(0\) \(q+q^{2}+q^{4}-q^{5}+q^{8}+q^{9}-q^{10}+\cdots\)
1960.1.i.d 1960.i 40.e $1$ $0.978$ \(\Q\) \(\Q(\sqrt{-10}) \) None \(1\) \(0\) \(1\) \(0\) \(q+q^{2}+q^{4}+q^{5}+q^{8}+q^{9}+q^{10}+\cdots\)
1960.1.u.a 1960.u 40.i $8$ $0.978$ \(\Q(\zeta_{16})\) \(\Q(\sqrt{-14}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{16}^{2}q^{2}+(\zeta_{16}^{5}-\zeta_{16}^{7})q^{3}+\zeta_{16}^{4}q^{4}+\cdots\)
1960.1.v.a 1960.v 5.c $4$ $0.978$ \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}q^{3}-\zeta_{8}q^{5}+q^{11}+\zeta_{8}q^{13}+\cdots\)
1960.1.bi.a 1960.bi 280.ai $2$ $0.978$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-10}) \) None \(-1\) \(0\) \(1\) \(0\) \(q-\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}+\zeta_{6}q^{5}+q^{8}-\zeta_{6}q^{9}+\cdots\)
1960.1.bi.b 1960.bi 280.ai $2$ $0.978$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-10}) \) None \(1\) \(0\) \(-1\) \(0\) \(q+\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}-\zeta_{6}q^{5}-q^{8}-\zeta_{6}q^{9}+\cdots\)
1960.1.bk.a 1960.bk 280.ak $8$ $0.978$ \(\Q(\zeta_{24})\) \(\Q(\sqrt{-14}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}^{2}q^{2}+(-\zeta_{24}+\zeta_{24}^{7})q^{3}+\zeta_{24}^{4}q^{4}+\cdots\)
1960.1.br.a 1960.br 35.l $8$ $0.978$ \(\Q(\zeta_{24})\) None None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{24}^{7}q^{3}-\zeta_{24}^{11}q^{5}-\zeta_{24}^{4}q^{11}+\cdots\)
1960.1.bu.a 1960.bu 280.at $16$ $0.978$ \(\Q(\zeta_{48})\) \(\Q(\sqrt{-14}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{48}^{2}q^{2}+(-\zeta_{48}-\zeta_{48}^{19})q^{3}+\cdots\)
1960.1.cf.a 1960.cf 1960.bf $6$ $0.978$ \(\Q(\zeta_{14})\) \(\Q(\sqrt{-10}) \) None \(-1\) \(0\) \(-1\) \(-1\) \(q-\zeta_{14}^{5}q^{2}-\zeta_{14}^{3}q^{4}-\zeta_{14}q^{5}+\zeta_{14}^{6}q^{7}+\cdots\)
1960.1.cf.b 1960.cf 1960.bf $6$ $0.978$ \(\Q(\zeta_{14})\) \(\Q(\sqrt{-10}) \) None \(1\) \(0\) \(1\) \(1\) \(q+\zeta_{14}^{5}q^{2}-\zeta_{14}^{3}q^{4}+\zeta_{14}q^{5}-\zeta_{14}^{6}q^{7}+\cdots\)
1960.1.cz.a 1960.cz 1960.bz $12$ $0.978$ \(\Q(\zeta_{21})\) \(\Q(\sqrt{-10}) \) None \(-1\) \(0\) \(-1\) \(2\) \(q-\zeta_{42}^{16}q^{2}-\zeta_{42}^{11}q^{4}+\zeta_{42}^{13}q^{5}+\cdots\)
1960.1.cz.b 1960.cz 1960.bz $12$ $0.978$ \(\Q(\zeta_{21})\) \(\Q(\sqrt{-10}) \) None \(1\) \(0\) \(1\) \(-2\) \(q+\zeta_{42}^{16}q^{2}-\zeta_{42}^{11}q^{4}-\zeta_{42}^{13}q^{5}+\cdots\)
1960.2.a.a 1960.a 1.a $1$ $15.651$ \(\Q\) None None \(0\) \(-2\) \(-1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-2q^{3}-q^{5}+q^{9}-q^{11}-3q^{13}+\cdots\)
1960.2.a.b 1960.a 1.a $1$ $15.651$ \(\Q\) None None \(0\) \(-2\) \(-1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-2q^{3}-q^{5}+q^{9}+4q^{11}-2q^{13}+\cdots\)
1960.2.a.c 1960.a 1.a $1$ $15.651$ \(\Q\) None None \(0\) \(-1\) \(-1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-2q^{9}-2q^{11}+4q^{13}+\cdots\)
1960.2.a.d 1960.a 1.a $1$ $15.651$ \(\Q\) None None \(0\) \(-1\) \(1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-2q^{9}-5q^{11}-7q^{13}+\cdots\)
1960.2.a.e 1960.a 1.a $1$ $15.651$ \(\Q\) None None \(0\) \(-1\) \(1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-2q^{9}+2q^{11}-q^{15}+\cdots\)
1960.2.a.f 1960.a 1.a $1$ $15.651$ \(\Q\) None None \(0\) \(-1\) \(1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-2q^{9}+3q^{11}+q^{13}+\cdots\)
1960.2.a.g 1960.a 1.a $1$ $15.651$ \(\Q\) None None \(0\) \(0\) \(-1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{5}-3q^{9}+4q^{11}+2q^{13}-2q^{17}+\cdots\)
1960.2.a.h 1960.a 1.a $1$ $15.651$ \(\Q\) None None \(0\) \(1\) \(-1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}-2q^{9}-5q^{11}+7q^{13}+\cdots\)
1960.2.a.i 1960.a 1.a $1$ $15.651$ \(\Q\) None None \(0\) \(1\) \(-1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}-2q^{9}+2q^{11}-q^{15}+\cdots\)
1960.2.a.j 1960.a 1.a $1$ $15.651$ \(\Q\) None None \(0\) \(1\) \(-1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}-2q^{9}+3q^{11}-q^{13}+\cdots\)
1960.2.a.k 1960.a 1.a $1$ $15.651$ \(\Q\) None None \(0\) \(1\) \(1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-2q^{9}-5q^{11}-q^{13}+\cdots\)
1960.2.a.l 1960.a 1.a $1$ $15.651$ \(\Q\) None None \(0\) \(1\) \(1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-2q^{9}-2q^{11}-4q^{13}+\cdots\)
1960.2.a.m 1960.a 1.a $1$ $15.651$ \(\Q\) None None \(0\) \(2\) \(1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+2q^{3}+q^{5}+q^{9}-q^{11}+3q^{13}+\cdots\)
1960.2.a.n 1960.a 1.a $1$ $15.651$ \(\Q\) None None \(0\) \(2\) \(1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+2q^{3}+q^{5}+q^{9}+4q^{11}+2q^{13}+\cdots\)
1960.2.a.o 1960.a 1.a $1$ $15.651$ \(\Q\) None None \(0\) \(3\) \(-1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+3q^{3}-q^{5}+6q^{9}-5q^{11}+5q^{13}+\cdots\)
1960.2.a.p 1960.a 1.a $2$ $15.651$ \(\Q(\sqrt{2}) \) None None \(0\) \(-2\) \(2\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{3}+q^{5}-2\beta q^{9}+(-2+\cdots)q^{11}+\cdots\)
1960.2.a.q 1960.a 1.a $2$ $15.651$ \(\Q(\sqrt{2}) \) None None \(0\) \(-2\) \(2\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{3}+q^{5}-2\beta q^{9}-q^{11}+\cdots\)
1960.2.a.r 1960.a 1.a $2$ $15.651$ \(\Q(\sqrt{17}) \) None None \(0\) \(-1\) \(-2\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-\beta q^{3}-q^{5}+(1+\beta )q^{9}-\beta q^{11}+(-2+\cdots)q^{13}+\cdots\)
1960.2.a.s 1960.a 1.a $2$ $15.651$ \(\Q(\sqrt{33}) \) None None \(0\) \(1\) \(2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+\beta q^{3}+q^{5}+(5+\beta )q^{9}+(4-\beta )q^{11}+\cdots\)
1960.2.a.t 1960.a 1.a $2$ $15.651$ \(\Q(\sqrt{2}) \) None None \(0\) \(2\) \(-2\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{3}-q^{5}+2\beta q^{9}+(-2-2\beta )q^{11}+\cdots\)
1960.2.a.u 1960.a 1.a $2$ $15.651$ \(\Q(\sqrt{2}) \) None None \(0\) \(2\) \(-2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{3}-q^{5}+2\beta q^{9}-q^{11}+(1+\cdots)q^{13}+\cdots\)
1960.2.a.v 1960.a 1.a $3$ $15.651$ 3.3.1944.1 None None \(0\) \(0\) \(-3\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}-q^{5}+(3+\beta _{1}+\beta _{2})q^{9}+(1+\cdots)q^{11}+\cdots\)
1960.2.a.w 1960.a 1.a $3$ $15.651$ 3.3.1944.1 None None \(0\) \(0\) \(3\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}+q^{5}+(3+\beta _{1}+\beta _{2})q^{9}+(1+\cdots)q^{11}+\cdots\)
1960.2.a.x 1960.a 1.a $4$ $15.651$ 4.4.16448.2 None None \(0\) \(-2\) \(-4\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}-q^{5}+(1+\beta _{1}+\beta _{2})q^{9}+(\beta _{1}+\cdots)q^{11}+\cdots\)
1960.2.a.y 1960.a 1.a $4$ $15.651$ 4.4.16448.2 None None \(0\) \(2\) \(4\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+q^{5}+(1+\beta _{1}+\beta _{2})q^{9}+(\beta _{1}+\cdots)q^{11}+\cdots\)
1960.2.g.a 1960.g 5.b $2$ $15.651$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(-4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{3}+(-2-i)q^{5}+2q^{9}-q^{11}+\cdots\)
1960.2.g.b 1960.g 5.b $2$ $15.651$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{3}+(1-i)q^{5}-q^{9}-4q^{11}+2iq^{13}+\cdots\)
1960.2.g.c 1960.g 5.b $6$ $15.651$ 6.0.5161984.1 None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{5}q^{3}+(-\beta _{2}-\beta _{5})q^{5}+(-1-\beta _{1}+\cdots)q^{9}+\cdots\)
1960.2.g.d 1960.g 5.b $8$ $15.651$ 8.0.\(\cdots\).3 None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{5}q^{3}-\beta _{6}q^{5}-\beta _{2}q^{9}+(1+\beta _{2}+\cdots)q^{11}+\cdots\)
1960.2.g.e 1960.g 5.b $12$ $15.651$ \(\mathbb{Q}[x]/(x^{12} + \cdots)\) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{1}q^{3}-\beta _{4}q^{5}+(-1+\beta _{2})q^{9}+\beta _{3}q^{11}+\cdots\)
1960.2.g.f 1960.g 5.b $12$ $15.651$ \(\mathbb{Q}[x]/(x^{12} + \cdots)\) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{1}q^{3}-\beta _{5}q^{5}+(-1+\beta _{2})q^{9}+\beta _{3}q^{11}+\cdots\)
1960.2.g.g 1960.g 5.b $20$ $15.651$ \(\mathbb{Q}[x]/(x^{20} + \cdots)\) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{17}q^{3}-\beta _{16}q^{5}+(-1+\beta _{1})q^{9}+\cdots\)
1960.2.q.a 1960.q 7.c $2$ $15.651$ \(\Q(\sqrt{-3}) \) None None \(0\) \(-3\) \(1\) \(0\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-3+3\zeta_{6})q^{3}+\zeta_{6}q^{5}-6\zeta_{6}q^{9}+\cdots\)
1960.2.q.b 1960.q 7.c $2$ $15.651$ \(\Q(\sqrt{-3}) \) None None \(0\) \(-2\) \(-1\) \(0\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-2+2\zeta_{6})q^{3}-\zeta_{6}q^{5}-\zeta_{6}q^{9}+\cdots\)
1960.2.q.c 1960.q 7.c $2$ $15.651$ \(\Q(\sqrt{-3}) \) None None \(0\) \(-2\) \(-1\) \(0\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-2+2\zeta_{6})q^{3}-\zeta_{6}q^{5}-\zeta_{6}q^{9}+\cdots\)
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