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Results (3 matches)

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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 5 7
490.6.a.b 490.a 1.a $1$ $78.588$ \(\Q\) None \(-4\) \(-18\) \(25\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-4q^{2}-18q^{3}+2^{4}q^{4}+5^{2}q^{5}+72q^{6}+\cdots\)
490.6.a.s 490.a 1.a $2$ $78.588$ \(\Q(\sqrt{106}) \) None \(-8\) \(22\) \(50\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-4q^{2}+(11+\beta )q^{3}+2^{4}q^{4}+5^{2}q^{5}+\cdots\)
490.6.a.bd 490.a 1.a $6$ $78.588$ \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None \(-24\) \(-4\) \(150\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-4q^{2}+(-1-\beta _{2})q^{3}+2^{4}q^{4}+5^{2}q^{5}+\cdots\)
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