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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 3 149
8046.2.a.s 8046.a 1.a $16$ $64.248$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(-16\) \(0\) \(-4\) \(6\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-\beta _{1}q^{5}+\beta _{7}q^{7}-q^{8}+\cdots\)
8046.2.a.t 8046.a 1.a $16$ $64.248$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(16\) \(0\) \(4\) \(6\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+\beta _{1}q^{5}+\beta _{7}q^{7}+q^{8}+\cdots\)
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