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Results (7 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.a 5166.a 1.a $1$ $41.251$ \(\Q\) None \(-1\) \(0\) \(-4\) \(-1\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-4q^{5}-q^{7}-q^{8}+4q^{10}+\cdots\)
5166.2.a.c 5166.a 1.a $1$ $41.251$ \(\Q\) None \(-1\) \(0\) \(-2\) \(-1\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-2q^{5}-q^{7}-q^{8}+2q^{10}+\cdots\)
5166.2.a.g 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.i 5166.a 1.a $1$ $41.251$ \(\Q\) None \(-1\) \(0\) \(0\) \(-1\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{7}-q^{8}-2q^{11}-6q^{13}+\cdots\)
5166.2.a.m 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.s 5166.a 1.a $1$ $41.251$ \(\Q\) None \(-1\) \(0\) \(4\) \(-1\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+4q^{5}-q^{7}-q^{8}-4q^{10}+\cdots\)
5166.2.a.bq 5166.a 1.a $2$ $41.251$ \(\Q(\sqrt{17}) \) None \(-2\) \(0\) \(3\) \(-2\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+(1+\beta )q^{5}-q^{7}-q^{8}+\cdots\)
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