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Results (5 matches)

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Label Char Prim Dim $A$ Field Image CM RM Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
791.1.d.a 791.d 791.d $1$ $0.395$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-791}) \) \(\Q(\sqrt{113}) \) \(-2\) \(0\) \(0\) \(1\) \(q-2q^{2}+3q^{4}+q^{7}-4q^{8}-q^{9}+2q^{11}+\cdots\)
791.1.d.b 791.d 791.d $2$ $0.395$ \(\Q(\sqrt{2}) \) $D_{4}$ \(\Q(\sqrt{-791}) \) None \(0\) \(0\) \(0\) \(2\) \(q-\beta q^{3}-q^{4}-\beta q^{5}+q^{7}+q^{9}-2q^{11}+\cdots\)
791.1.d.c 791.d 791.d $4$ $0.395$ \(\Q(\zeta_{16})^+\) $D_{8}$ \(\Q(\sqrt{-791}) \) None \(0\) \(0\) \(0\) \(4\) \(q-\beta _{2}q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{1}q^{5}+(\beta _{1}+\cdots)q^{6}+\cdots\)
791.1.d.d 791.d 791.d $8$ $0.395$ \(\Q(\zeta_{32})^+\) $D_{16}$ \(\Q(\sqrt{-791}) \) None \(0\) \(0\) \(0\) \(-8\) \(q+\beta _{2}q^{2}+\beta _{5}q^{3}+(1+\beta _{4})q^{4}-\beta _{3}q^{5}+\cdots\)
3955.1.c.e 3955.c 3955.c $32$ $1.974$ \(\Q(\zeta_{64})\) $D_{32}$ \(\Q(\sqrt{-791}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{64}^{6}+\zeta_{64}^{26})q^{2}+(-\zeta_{64}-\zeta_{64}^{31}+\cdots)q^{3}+\cdots\)
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