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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 11
33.4.a.c 33.a 1.a $2$ $1.947$ \(\Q(\sqrt{97}) \) None \(1\) \(-6\) \(-14\) \(24\) $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{2}-3q^{3}+(2^{4}+\beta )q^{4}+(-6-2\beta )q^{5}+\cdots\)
33.4.a.d 33.a 1.a $2$ $1.947$ \(\Q(\sqrt{33}) \) None \(1\) \(6\) \(16\) \(2\) $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+3q^{3}+\beta q^{4}+(10-4\beta )q^{5}+\cdots\)
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