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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
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 3 7 41
5166.2.a.h 5166.a 1.a $1$ $41.251$ \(\Q\) None \(-1\) \(0\) \(-1\) \(1\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{5}+q^{7}-q^{8}+q^{10}+\cdots\)
5166.2.a.bn 5166.a 1.a $2$ $41.251$ \(\Q(\sqrt{17}) \) None \(-2\) \(0\) \(-3\) \(2\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+(-1-\beta )q^{5}+q^{7}-q^{8}+\cdots\)
5166.2.a.bo 5166.a 1.a $2$ $41.251$ \(\Q(\sqrt{3}) \) None \(-2\) \(0\) \(-2\) \(2\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+(-1+\beta )q^{5}+q^{7}-q^{8}+\cdots\)
5166.2.a.bp 5166.a 1.a $2$ $41.251$ \(\Q(\sqrt{33}) \) None \(-2\) \(0\) \(1\) \(2\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+\beta q^{5}+q^{7}-q^{8}-\beta q^{10}+\cdots\)
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