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Label Char Prim Dim $A$ Field CM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1014.2.a.a 1014.a 1.a $1$ $8.097$ \(\Q\) None \(-1\) \(-1\) \(-1\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-2q^{7}+\cdots\)
1014.2.a.b 1014.a 1.a $1$ $8.097$ \(\Q\) None \(-1\) \(1\) \(-2\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-2q^{5}-q^{6}-2q^{7}+\cdots\)
1014.2.a.c 1014.a 1.a $1$ $8.097$ \(\Q\) None \(-1\) \(1\) \(3\) \(2\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+3q^{5}-q^{6}+2q^{7}+\cdots\)
1014.2.a.d 1014.a 1.a $1$ $8.097$ \(\Q\) None \(1\) \(-1\) \(-2\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-2q^{5}-q^{6}-4q^{7}+\cdots\)
1014.2.a.e 1014.a 1.a $1$ $8.097$ \(\Q\) None \(1\) \(-1\) \(1\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+2q^{7}+\cdots\)
1014.2.a.f 1014.a 1.a $1$ $8.097$ \(\Q\) None \(1\) \(1\) \(-3\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}-3q^{5}+q^{6}-2q^{7}+\cdots\)
1014.2.a.g 1014.a 1.a $1$ $8.097$ \(\Q\) None \(1\) \(1\) \(2\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+2q^{5}+q^{6}+2q^{7}+\cdots\)
1014.2.a.h 1014.a 1.a $2$ $8.097$ \(\Q(\sqrt{3}) \) None \(-2\) \(-2\) \(0\) \(6\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+\beta q^{5}+q^{6}+(3-\beta )q^{7}+\cdots\)
1014.2.a.i 1014.a 1.a $2$ $8.097$ \(\Q(\sqrt{3}) \) None \(-2\) \(2\) \(-4\) \(2\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+(-2+\beta )q^{5}-q^{6}+\cdots\)
1014.2.a.j 1014.a 1.a $2$ $8.097$ \(\Q(\sqrt{3}) \) None \(2\) \(-2\) \(0\) \(-6\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+\beta q^{5}-q^{6}+(-3+\cdots)q^{7}+\cdots\)
1014.2.a.k 1014.a 1.a $2$ $8.097$ \(\Q(\sqrt{3}) \) None \(2\) \(2\) \(4\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+(2+\beta )q^{5}+q^{6}+\cdots\)
1014.2.a.l 1014.a 1.a $3$ $8.097$ \(\Q(\zeta_{14})^+\) None \(-3\) \(-3\) \(-1\) \(-9\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+(1-3\beta _{1}+\beta _{2})q^{5}+\cdots\)
1014.2.a.m 1014.a 1.a $3$ $8.097$ \(\Q(\zeta_{14})^+\) None \(-3\) \(3\) \(3\) \(-3\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+(1+\beta _{1}+\beta _{2})q^{5}+\cdots\)
1014.2.a.n 1014.a 1.a $3$ $8.097$ \(\Q(\zeta_{14})^+\) None \(3\) \(-3\) \(1\) \(9\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+(-\beta _{1}-2\beta _{2})q^{5}+\cdots\)
1014.2.a.o 1014.a 1.a $3$ $8.097$ \(\Q(\zeta_{14})^+\) None \(3\) \(3\) \(-3\) \(3\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+(-1-\beta _{1}-\beta _{2})q^{5}+\cdots\)
1014.2.b.a 1014.b 13.b $2$ $8.097$ \(\Q(\sqrt{-1}) \) None \(0\) \(-2\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{2}-q^{3}-q^{4}+iq^{5}-iq^{6}-2iq^{7}+\cdots\)
1014.2.b.b 1014.b 13.b $2$ $8.097$ \(\Q(\sqrt{-1}) \) None \(0\) \(-2\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{2}-q^{3}-q^{4}+2iq^{5}+iq^{6}+\cdots\)
1014.2.b.c 1014.b 13.b $2$ $8.097$ \(\Q(\sqrt{-1}) \) None \(0\) \(2\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{2}+q^{3}-q^{4}+3iq^{5}-iq^{6}+\cdots\)
1014.2.b.d 1014.b 13.b $4$ $8.097$ \(\Q(\zeta_{12})\) None \(0\) \(-4\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\zeta_{12}q^{2}-q^{3}-q^{4}-\zeta_{12}^{2}q^{5}-\zeta_{12}q^{6}+\cdots\)
1014.2.b.e 1014.b 13.b $4$ $8.097$ \(\Q(\zeta_{12})\) None \(0\) \(4\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\zeta_{12}q^{2}+q^{3}-q^{4}+(2\zeta_{12}+\zeta_{12}^{2}+\cdots)q^{5}+\cdots\)
1014.2.b.f 1014.b 13.b $6$ $8.097$ 6.0.153664.1 None \(0\) \(-6\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{5}q^{2}-q^{3}-q^{4}+(-2\beta _{1}-\beta _{3}+\cdots)q^{5}+\cdots\)
1014.2.b.g 1014.b 13.b $6$ $8.097$ 6.0.153664.1 None \(0\) \(6\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{5}q^{2}+q^{3}-q^{4}+(\beta _{1}+\beta _{3}-\beta _{5})q^{5}+\cdots\)
1014.2.e.a 1014.e 13.c $2$ $8.097$ \(\Q(\sqrt{-3}) \) None \(-1\) \(-1\) \(-6\) \(2\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-1+\zeta_{6})q^{2}+(-1+\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots\)
1014.2.e.b 1014.e 13.c $2$ $8.097$ \(\Q(\sqrt{-3}) \) None \(-1\) \(-1\) \(4\) \(-2\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-1+\zeta_{6})q^{2}+(-1+\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots\)
1014.2.e.c 1014.e 13.c $2$ $8.097$ \(\Q(\sqrt{-3}) \) None \(-1\) \(1\) \(-4\) \(4\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-1+\zeta_{6})q^{2}+(1-\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots\)
1014.2.e.d 1014.e 13.c $2$ $8.097$ \(\Q(\sqrt{-3}) \) None \(-1\) \(1\) \(2\) \(-2\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-1+\zeta_{6})q^{2}+(1-\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots\)
1014.2.e.e 1014.e 13.c $2$ $8.097$ \(\Q(\sqrt{-3}) \) None \(1\) \(-1\) \(-4\) \(2\) $\mathrm{SU}(2)[C_{3}]$ \(q+(1-\zeta_{6})q^{2}+(-1+\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots\)
1014.2.e.f 1014.e 13.c $2$ $8.097$ \(\Q(\sqrt{-3}) \) None \(1\) \(1\) \(4\) \(-4\) $\mathrm{SU}(2)[C_{3}]$ \(q+(1-\zeta_{6})q^{2}+(1-\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots\)
1014.2.e.g 1014.e 13.c $4$ $8.097$ \(\Q(\zeta_{12})\) None \(-2\) \(-2\) \(8\) \(2\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-1+\zeta_{12})q^{2}+(-1+\zeta_{12})q^{3}+\cdots\)
1014.2.e.h 1014.e 13.c $4$ $8.097$ \(\Q(\zeta_{12})\) None \(-2\) \(2\) \(0\) \(6\) $\mathrm{SU}(2)[C_{3}]$ \(q-\zeta_{12}q^{2}+\zeta_{12}q^{3}+(-1+\zeta_{12})q^{4}+\cdots\)
1014.2.e.i 1014.e 13.c $4$ $8.097$ \(\Q(\zeta_{12})\) None \(2\) \(-2\) \(-8\) \(-2\) $\mathrm{SU}(2)[C_{3}]$ \(q+\zeta_{12}q^{2}-\zeta_{12}q^{3}+(-1+\zeta_{12})q^{4}+\cdots\)
1014.2.e.j 1014.e 13.c $4$ $8.097$ \(\Q(\zeta_{12})\) None \(2\) \(2\) \(0\) \(-6\) $\mathrm{SU}(2)[C_{3}]$ \(q+\zeta_{12}q^{2}+\zeta_{12}q^{3}+(-1+\zeta_{12})q^{4}+\cdots\)
1014.2.e.k 1014.e 13.c $6$ $8.097$ 6.0.64827.1 None \(-3\) \(-3\) \(-6\) \(-3\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-1+\beta _{5})q^{2}+(-1+\beta _{5})q^{3}-\beta _{5}q^{4}+\cdots\)
1014.2.e.l 1014.e 13.c $6$ $8.097$ 6.0.64827.1 None \(-3\) \(3\) \(2\) \(-9\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-1+\beta _{5})q^{2}+(1-\beta _{5})q^{3}-\beta _{5}q^{4}+\cdots\)
1014.2.e.m 1014.e 13.c $6$ $8.097$ 6.0.64827.1 None \(3\) \(-3\) \(6\) \(3\) $\mathrm{SU}(2)[C_{3}]$ \(q+\beta _{5}q^{2}-\beta _{5}q^{3}+(-1+\beta _{5})q^{4}+(2\beta _{2}+\cdots)q^{5}+\cdots\)
1014.2.e.n 1014.e 13.c $6$ $8.097$ 6.0.64827.1 None \(3\) \(3\) \(-2\) \(9\) $\mathrm{SU}(2)[C_{3}]$ \(q+\beta _{5}q^{2}+\beta _{5}q^{3}+(-1+\beta _{5})q^{4}+(-2\beta _{2}+\cdots)q^{5}+\cdots\)
1014.2.g.a 1014.g 39.f $8$ $8.097$ 8.0.959512576.1 None \(0\) \(4\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q+\beta _{5}q^{2}+(1+\beta _{2})q^{3}+\beta _{4}q^{4}+\beta _{5}q^{5}+\cdots\)
1014.2.g.b 1014.g 39.f $12$ $8.097$ 12.0.\(\cdots\).52 None \(0\) \(0\) \(0\) \(12\) $\mathrm{SU}(2)[C_{4}]$ \(q-\beta _{6}q^{2}+\beta _{7}q^{3}-\beta _{8}q^{4}+(\beta _{5}-\beta _{9}+\cdots)q^{5}+\cdots\)
1014.2.g.c 1014.g 39.f $16$ $8.097$ 16.0.\(\cdots\).9 None \(0\) \(0\) \(0\) \(-16\) $\mathrm{SU}(2)[C_{4}]$ \(q-\beta _{11}q^{2}-\beta _{15}q^{3}+\beta _{12}q^{4}+(\beta _{3}+\cdots)q^{5}+\cdots\)
1014.2.g.d 1014.g 39.f $16$ $8.097$ 16.0.\(\cdots\).9 None \(0\) \(0\) \(0\) \(16\) $\mathrm{SU}(2)[C_{4}]$ \(q-\beta _{11}q^{2}+(-\beta _{2}-\beta _{5}-\beta _{6}+\beta _{15})q^{3}+\cdots\)
1014.2.g.e 1014.g 39.f $48$ $8.097$ None \(0\) \(-4\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$
1014.2.i.a 1014.i 13.e $4$ $8.097$ \(\Q(\zeta_{12})\) None \(0\) \(-2\) \(0\) \(-6\) $\mathrm{SU}(2)[C_{6}]$ \(q+(\zeta_{12}-\zeta_{12}^{3})q^{2}-\zeta_{12}^{2}q^{3}+(1-\zeta_{12}^{2}+\cdots)q^{4}+\cdots\)
1014.2.i.b 1014.i 13.e $4$ $8.097$ \(\Q(\zeta_{12})\) None \(0\) \(-2\) \(0\) \(0\) $\mathrm{SU}(2)[C_{6}]$ \(q+(-\zeta_{12}+\zeta_{12}^{3})q^{2}-\zeta_{12}^{2}q^{3}+(1+\cdots)q^{4}+\cdots\)
1014.2.i.c 1014.i 13.e $4$ $8.097$ \(\Q(\zeta_{12})\) None \(0\) \(-2\) \(0\) \(0\) $\mathrm{SU}(2)[C_{6}]$ \(q+(\zeta_{12}-\zeta_{12}^{3})q^{2}-\zeta_{12}^{2}q^{3}+(1-\zeta_{12}^{2}+\cdots)q^{4}+\cdots\)
1014.2.i.d 1014.i 13.e $4$ $8.097$ \(\Q(\zeta_{12})\) None \(0\) \(2\) \(0\) \(0\) $\mathrm{SU}(2)[C_{6}]$ \(q+(-\zeta_{12}+\zeta_{12}^{3})q^{2}+\zeta_{12}^{2}q^{3}+(1+\cdots)q^{4}+\cdots\)
1014.2.i.e 1014.i 13.e $4$ $8.097$ \(\Q(\zeta_{12})\) None \(0\) \(2\) \(0\) \(0\) $\mathrm{SU}(2)[C_{6}]$ \(q+(\zeta_{12}-\zeta_{12}^{3})q^{2}+\zeta_{12}^{2}q^{3}+(1-\zeta_{12}^{2}+\cdots)q^{4}+\cdots\)
1014.2.i.f 1014.i 13.e $4$ $8.097$ \(\Q(\zeta_{12})\) None \(0\) \(2\) \(0\) \(6\) $\mathrm{SU}(2)[C_{6}]$ \(q+(-\zeta_{12}+\zeta_{12}^{3})q^{2}+\zeta_{12}^{2}q^{3}+(1+\cdots)q^{4}+\cdots\)
1014.2.i.g 1014.i 13.e $12$ $8.097$ 12.0.\(\cdots\).1 None \(0\) \(-6\) \(0\) \(0\) $\mathrm{SU}(2)[C_{6}]$ \(q-\beta _{10}q^{2}-\beta _{7}q^{3}+(1-\beta _{7})q^{4}+(\beta _{2}+\cdots)q^{5}+\cdots\)
1014.2.i.h 1014.i 13.e $12$ $8.097$ 12.0.\(\cdots\).1 None \(0\) \(6\) \(0\) \(0\) $\mathrm{SU}(2)[C_{6}]$ \(q+\beta _{6}q^{2}+(1-\beta _{7})q^{3}+\beta _{7}q^{4}+(2\beta _{2}+\cdots)q^{5}+\cdots\)
1014.3.f.a 1014.f 13.d $4$ $27.629$ \(\Q(\zeta_{12})\) None \(-4\) \(0\) \(-12\) \(4\) $\mathrm{SU}(2)[C_{4}]$ \(q+(-1+\zeta_{12})q^{2}+\zeta_{12}^{3}q^{3}-2\zeta_{12}q^{4}+\cdots\)
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