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Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (110727 objects)

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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 13
39.2.a.a 39.a 1.a $1$ $0.311$ \(\Q\) None \(1\) \(-1\) \(2\) \(-4\) $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}-q^{4}+2q^{5}-q^{6}-4q^{7}+\cdots\)
39.2.a.b 39.a 1.a $2$ $0.311$ \(\Q(\sqrt{2}) \) None \(-2\) \(2\) \(0\) \(0\) $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{2}+q^{3}+(1-2\beta )q^{4}-2\beta q^{5}+\cdots\)
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