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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
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 13 31
403.2.a.a 403.a 1.a $2$ $3.218$ \(\Q(\sqrt{5}) \) None \(3\) \(-4\) \(0\) \(2\) $-$ $+$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{2}-2q^{3}+3\beta q^{4}+(-1+2\beta )q^{5}+\cdots\)
403.2.a.c 403.a 1.a $7$ $3.218$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(2\) \(5\) \(11\) \(4\) $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{3}q^{2}+(1-\beta _{1})q^{3}+(\beta _{1}+\beta _{4}+\beta _{6})q^{4}+\cdots\)
403.2.a.e 403.a 1.a $8$ $3.218$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-1\) \(7\) \(11\) \(-2\) $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(1+\beta _{4})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
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