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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 3 7 11
5082.2.a.k 5082.a 1.a $1$ $40.580$ \(\Q\) None \(-1\) \(1\) \(-2\) \(1\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-2q^{5}-q^{6}+q^{7}+\cdots\)
5082.2.a.bi 5082.a 1.a $2$ $40.580$ \(\Q(\sqrt{3}) \) None \(-2\) \(2\) \(-4\) \(2\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+(-2+\beta )q^{5}-q^{6}+\cdots\)
5082.2.a.bz 5082.a 1.a $4$ $40.580$ \(\Q(\sqrt{3}, \sqrt{5})\) None \(-4\) \(4\) \(0\) \(4\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+(\beta _{1}+\beta _{3})q^{5}-q^{6}+\cdots\)
  displayed columns for results