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Label Char Prim Dim $A$ Field CM RM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
2016.1.e.a 2016.e 168.e $4$ $1.006$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-7}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{8}^{2}q^{7}+(\zeta_{8}+\zeta_{8}^{3})q^{11}+(-\zeta_{8}+\cdots)q^{23}+\cdots\)
2016.1.f.a 2016.f 7.b $4$ $1.006$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-21}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{8}-\zeta_{8}^{3})q^{5}+\zeta_{8}^{2}q^{7}+(-\zeta_{8}+\cdots)q^{11}+\cdots\)
2016.1.l.a 2016.l 56.h $1$ $1.006$ \(\Q\) \(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-14}) \) \(\Q(\sqrt{2}) \) \(0\) \(0\) \(0\) \(1\) \(q+q^{7}+2q^{23}-q^{25}+q^{49}-2q^{71}+\cdots\)
2016.1.l.b 2016.l 56.h $2$ $1.006$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-6}) \) \(\Q(\sqrt{42}) \) \(0\) \(0\) \(0\) \(-2\) \(q-q^{7}-iq^{11}-q^{25}-iq^{29}+q^{49}+\cdots\)
2016.1.bi.a 2016.bi 504.aa $4$ $1.006$ \(\Q(\zeta_{12})\) None None \(0\) \(-2\) \(0\) \(0\) \(q-\zeta_{12}^{2}q^{3}-\zeta_{12}^{3}q^{5}+\zeta_{12}q^{7}+\zeta_{12}^{4}q^{9}+\cdots\)
2016.1.bv.a 2016.bv 504.an $2$ $1.006$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-14}) \) None \(0\) \(-2\) \(1\) \(1\) \(q-q^{3}-\zeta_{6}^{2}q^{5}+\zeta_{6}q^{7}+q^{9}+\zeta_{6}^{2}q^{13}+\cdots\)
2016.1.bv.b 2016.bv 504.an $2$ $1.006$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-14}) \) None \(0\) \(2\) \(-1\) \(1\) \(q+q^{3}+\zeta_{6}^{2}q^{5}+\zeta_{6}q^{7}+q^{9}-\zeta_{6}^{2}q^{13}+\cdots\)
2016.1.bv.c 2016.bv 504.an $4$ $1.006$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-14}) \) None \(0\) \(0\) \(0\) \(-2\) \(q-\zeta_{12}^{3}q^{3}+(-\zeta_{12}-\zeta_{12}^{3})q^{5}+\zeta_{12}^{4}q^{7}+\cdots\)
2016.1.bw.a 2016.bw 252.u $4$ $1.006$ \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}q^{3}-\zeta_{12}q^{7}+\zeta_{12}^{2}q^{9}+\zeta_{12}^{4}q^{13}+\cdots\)
2016.1.cd.a 2016.cd 28.g $4$ $1.006$ \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(2\) \(0\) \(q+\zeta_{12}^{2}q^{5}-\zeta_{12}^{3}q^{7}-\zeta_{12}q^{11}+\cdots\)
2016.1.ce.a 2016.ce 56.j $4$ $1.006$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-6}) \) None \(0\) \(0\) \(0\) \(2\) \(q+(\zeta_{12}^{3}+\zeta_{12}^{5})q^{5}+\zeta_{12}^{2}q^{7}+\zeta_{12}^{5}q^{11}+\cdots\)
2016.1.cm.a 2016.cm 504.be $4$ $1.006$ \(\Q(\zeta_{12})\) None None \(0\) \(4\) \(0\) \(0\) \(q+q^{3}+\zeta_{12}^{5}q^{5}-\zeta_{12}^{3}q^{7}+q^{9}+\cdots\)
2016.1.dd.a 2016.dd 252.al $4$ $1.006$ \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}^{3}q^{3}-\zeta_{12}^{3}q^{7}-q^{9}-\zeta_{12}^{2}q^{13}+\cdots\)
2016.1.dn.a 2016.dn 672.ar $4$ $1.006$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-7}) \) None \(-4\) \(0\) \(0\) \(0\) \(q-q^{2}+q^{4}+\zeta_{8}^{3}q^{7}-q^{8}+(-\zeta_{8}^{2}+\cdots)q^{11}+\cdots\)
2016.1.dn.b 2016.dn 672.ar $4$ $1.006$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-7}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{8}^{2}q^{2}-q^{4}-\zeta_{8}^{3}q^{7}-\zeta_{8}^{2}q^{8}+\cdots\)
2016.1.dn.c 2016.dn 672.ar $4$ $1.006$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-7}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}^{2}q^{2}-q^{4}-\zeta_{8}^{3}q^{7}+\zeta_{8}^{2}q^{8}+\cdots\)
2016.1.dn.d 2016.dn 672.ar $4$ $1.006$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-7}) \) None \(4\) \(0\) \(0\) \(0\) \(q+q^{2}+q^{4}+\zeta_{8}^{3}q^{7}+q^{8}+(\zeta_{8}^{2}-\zeta_{8}^{3}+\cdots)q^{11}+\cdots\)
2016.1.dp.a 2016.dp 224.v $4$ $1.006$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-7}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}q^{2}+\zeta_{8}^{2}q^{4}-\zeta_{8}^{3}q^{7}-\zeta_{8}^{3}q^{8}+\cdots\)
2016.1.dp.b 2016.dp 224.v $4$ $1.006$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-7}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}+\zeta_{8}^{3}q^{7}+\zeta_{8}q^{8}+\cdots\)
2016.1.dp.c 2016.dp 224.v $4$ $1.006$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-7}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{8}q^{2}+\zeta_{8}^{2}q^{4}-\zeta_{8}^{3}q^{7}+\zeta_{8}^{3}q^{8}+\cdots\)
2016.2.a.a 2016.a 1.a $1$ $16.098$ \(\Q\) None None \(0\) \(0\) \(-2\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q-2q^{5}-q^{7}+2q^{13}-2q^{17}+4q^{19}+\cdots\)
2016.2.a.b 2016.a 1.a $1$ $16.098$ \(\Q\) None None \(0\) \(0\) \(-2\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-2q^{5}+q^{7}+2q^{13}-2q^{17}-4q^{19}+\cdots\)
2016.2.a.c 2016.a 1.a $1$ $16.098$ \(\Q\) None None \(0\) \(0\) \(0\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-q^{7}-4q^{11}+2q^{13}+4q^{17}-4q^{23}+\cdots\)
2016.2.a.d 2016.a 1.a $1$ $16.098$ \(\Q\) None None \(0\) \(0\) \(0\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-q^{7}+2q^{11}-2q^{13}-4q^{17}-4q^{19}+\cdots\)
2016.2.a.e 2016.a 1.a $1$ $16.098$ \(\Q\) None None \(0\) \(0\) \(0\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-q^{7}+4q^{11}-4q^{13}+2q^{17}-6q^{19}+\cdots\)
2016.2.a.f 2016.a 1.a $1$ $16.098$ \(\Q\) None None \(0\) \(0\) \(0\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q-q^{7}+4q^{11}+2q^{13}-4q^{17}+4q^{23}+\cdots\)
2016.2.a.g 2016.a 1.a $1$ $16.098$ \(\Q\) None None \(0\) \(0\) \(0\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+q^{7}-4q^{11}-4q^{13}+2q^{17}+6q^{19}+\cdots\)
2016.2.a.h 2016.a 1.a $1$ $16.098$ \(\Q\) None None \(0\) \(0\) \(0\) \(1\) $+$ $\mathrm{SU}(2)$ \(q+q^{7}-4q^{11}+2q^{13}-4q^{17}-4q^{23}+\cdots\)
2016.2.a.i 2016.a 1.a $1$ $16.098$ \(\Q\) None None \(0\) \(0\) \(0\) \(1\) $+$ $\mathrm{SU}(2)$ \(q+q^{7}-2q^{11}-2q^{13}-4q^{17}+4q^{19}+\cdots\)
2016.2.a.j 2016.a 1.a $1$ $16.098$ \(\Q\) None None \(0\) \(0\) \(0\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+q^{7}+4q^{11}+2q^{13}+4q^{17}+4q^{23}+\cdots\)
2016.2.a.k 2016.a 1.a $1$ $16.098$ \(\Q\) None None \(0\) \(0\) \(2\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+2q^{5}-q^{7}+4q^{11}-6q^{13}+2q^{17}+\cdots\)
2016.2.a.l 2016.a 1.a $1$ $16.098$ \(\Q\) None None \(0\) \(0\) \(2\) \(1\) $+$ $\mathrm{SU}(2)$ \(q+2q^{5}+q^{7}-4q^{11}-6q^{13}+2q^{17}+\cdots\)
2016.2.a.m 2016.a 1.a $1$ $16.098$ \(\Q\) None None \(0\) \(0\) \(4\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+4q^{5}-q^{7}-2q^{11}-2q^{13}+4q^{19}+\cdots\)
2016.2.a.n 2016.a 1.a $1$ $16.098$ \(\Q\) None None \(0\) \(0\) \(4\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+4q^{5}+q^{7}+2q^{11}-2q^{13}-4q^{19}+\cdots\)
2016.2.a.o 2016.a 1.a $2$ $16.098$ \(\Q(\sqrt{5}) \) None None \(0\) \(0\) \(-2\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta )q^{5}-q^{7}+(-2-2\beta )q^{11}+\cdots\)
2016.2.a.p 2016.a 1.a $2$ $16.098$ \(\Q(\sqrt{5}) \) None None \(0\) \(0\) \(-2\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta )q^{5}-q^{7}+(1+\beta )q^{11}+2\beta q^{13}+\cdots\)
2016.2.a.q 2016.a 1.a $2$ $16.098$ \(\Q(\sqrt{5}) \) None None \(0\) \(0\) \(-2\) \(2\) $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta )q^{5}+q^{7}+(-1-\beta )q^{11}+\cdots\)
2016.2.a.r 2016.a 1.a $2$ $16.098$ \(\Q(\sqrt{5}) \) None None \(0\) \(0\) \(-2\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta )q^{5}+q^{7}+(2+2\beta )q^{11}+\cdots\)
2016.2.a.s 2016.a 1.a $2$ $16.098$ \(\Q(\sqrt{3}) \) None None \(0\) \(0\) \(0\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+\beta q^{5}-q^{7}+(-2-\beta )q^{11}+2q^{13}+\cdots\)
2016.2.a.t 2016.a 1.a $2$ $16.098$ \(\Q(\sqrt{3}) \) None None \(0\) \(0\) \(0\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+\beta q^{5}+q^{7}+(2+\beta )q^{11}+2q^{13}+\cdots\)
2016.2.a.u 2016.a 1.a $2$ $16.098$ \(\Q(\sqrt{5}) \) None None \(0\) \(0\) \(2\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{5}-q^{7}+(-1-\beta )q^{11}+2\beta q^{13}+\cdots\)
2016.2.a.v 2016.a 1.a $2$ $16.098$ \(\Q(\sqrt{5}) \) None None \(0\) \(0\) \(2\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{5}+q^{7}+(1+\beta )q^{11}+2\beta q^{13}+\cdots\)
2016.2.b.a 2016.b 28.d $8$ $16.098$ 8.0.836829184.2 None None \(0\) \(0\) \(0\) \(-4\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{1}q^{5}+\beta _{4}q^{7}+(\beta _{2}+\beta _{4}+\beta _{7})q^{11}+\cdots\)
2016.2.b.b 2016.b 28.d $8$ $16.098$ \(\Q(\zeta_{16})\) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\zeta_{16}^{5}q^{5}+\zeta_{16}^{6}q^{7}-\zeta_{16}q^{11}+\cdots\)
2016.2.b.c 2016.b 28.d $8$ $16.098$ 8.0.836829184.2 None None \(0\) \(0\) \(0\) \(4\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{1}q^{5}-\beta _{4}q^{7}+(-\beta _{2}-\beta _{4}-\beta _{7})q^{11}+\cdots\)
2016.2.b.d 2016.b 28.d $16$ $16.098$ 16.0.\(\cdots\).7 None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{2}q^{5}-\beta _{8}q^{7}+(\beta _{7}+\beta _{11})q^{11}+\cdots\)
2016.2.c.a 2016.c 8.b $2$ $16.098$ \(\Q(\sqrt{-2}) \) None None \(0\) \(0\) \(0\) \(-2\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta q^{5}-q^{7}+2\beta q^{11}-3\beta q^{13}+6q^{17}+\cdots\)
2016.2.c.b 2016.c 8.b $4$ $16.098$ \(\Q(\sqrt{-2}, \sqrt{-3})\) None None \(0\) \(0\) \(0\) \(-4\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{1}q^{5}-q^{7}+\beta _{1}q^{11}+\beta _{2}q^{17}+\cdots\)
2016.2.c.c 2016.c 8.b $4$ $16.098$ 4.0.2312.1 None None \(0\) \(0\) \(0\) \(4\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{2}q^{5}+q^{7}+(-\beta _{1}+\beta _{2})q^{11}+\beta _{2}q^{13}+\cdots\)
2016.2.c.d 2016.c 8.b $4$ $16.098$ \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(0\) \(4\) $\mathrm{SU}(2)[C_{2}]$ \(q-\zeta_{12}^{3}q^{5}+q^{7}+(-\zeta_{12}^{2}+\zeta_{12}^{3})q^{11}+\cdots\)
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