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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 29
464.4.a.k 464.a 1.a $4$ $27.377$ 4.4.225792.1 None \(0\) \(0\) \(-20\) \(8\) $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+(-5-\beta _{2})q^{5}+(2-2\beta _{1}+\cdots)q^{7}+\cdots\)
464.4.a.m 464.a 1.a $5$ $27.377$ \(\mathbb{Q}[x]/(x^{5} - \cdots)\) None \(0\) \(-4\) \(10\) \(-32\) $+$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{3}+(2+\beta _{3})q^{5}+(-6+\cdots)q^{7}+\cdots\)
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