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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
147.6.a.m 147.a 1.a $4$ $23.576$ \(\mathbb{Q}[x]/(x^{4} - \cdots)\) None \(3\) \(36\) \(0\) \(0\) $-$ $+$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{2}+9q^{3}+(18-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
147.6.a.o 147.a 1.a $6$ $23.576$ \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None \(2\) \(54\) \(100\) \(0\) $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{2}q^{2}+9q^{3}+(5^{2}-\beta _{1}+\beta _{4})q^{4}+\cdots\)
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