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Results (4 matches)

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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 3 11
1089.6.a.k 1089.a 1.a $2$ $174.658$ \(\Q(\sqrt{3}) \) \(\Q(\sqrt{-3}) \) \(0\) \(0\) \(0\) \(0\) $+$ $+$ $N(\mathrm{U}(1))$ \(q-2^{5}q^{4}-149\beta q^{7}+116\beta q^{13}+2^{10}q^{16}+\cdots\)
1089.6.a.bc 1089.a 1.a $8$ $174.658$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(0\) \(0\) \(0\) \(0\) $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{4}q^{2}+(19-\beta _{1})q^{4}-\beta _{2}q^{5}+\beta _{7}q^{7}+\cdots\)
1089.6.a.bm 1089.a 1.a $12$ $174.658$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(0\) \(0\) \(0\) \(0\) $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{6}q^{2}+(14+\beta _{3})q^{4}+(\beta _{1}-\beta _{2})q^{5}+\cdots\)
1089.6.a.bn 1089.a 1.a $20$ $174.658$ \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None \(0\) \(0\) \(0\) \(-472\) $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(15+\beta _{2})q^{4}+(-\beta _{1}-\beta _{8}+\cdots)q^{5}+\cdots\)
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