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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 5 89
4005.2.a.u 4005.a 1.a $12$ $31.980$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(-3\) \(0\) \(12\) \(-8\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+q^{5}+(-1-\beta _{2}+\cdots)q^{7}+\cdots\)
4005.2.a.v 4005.a 1.a $12$ $31.980$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(3\) \(0\) \(-12\) \(-8\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-q^{5}+(-1-\beta _{2}+\cdots)q^{7}+\cdots\)
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