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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 3 7
21.8.a.c 21.a 1.a $2$ $6.560$ \(\Q(\sqrt{67}) \) None \(12\) \(-54\) \(-24\) \(-686\) $+$ $+$ $\mathrm{SU}(2)$ \(q+(6+\beta )q^{2}-3^{3}q^{3}+(176+12\beta )q^{4}+\cdots\)
21.8.a.d 21.a 1.a $3$ $6.560$ 3.3.2910828.1 None \(-3\) \(81\) \(-114\) \(1029\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+3^{3}q^{3}+(75+\beta _{2})q^{4}+\cdots\)
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