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Label Char Prim Dim $A$ Field Image CM RM Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1415.1.d.a 1415.d 1415.d $8$ $0.706$ \(\Q(\zeta_{34})^+\) $D_{17}$ \(\Q(\sqrt{-1415}) \) None \(-1\) \(-1\) \(8\) \(0\) \(q+\beta _{6}q^{2}+(-1+\beta _{1}-\beta _{2}+\beta _{3}-\beta _{4}+\cdots)q^{3}+\cdots\)
1415.1.d.b 1415.d 1415.d $8$ $0.706$ \(\Q(\zeta_{34})^+\) $D_{17}$ \(\Q(\sqrt{-1415}) \) None \(1\) \(1\) \(-8\) \(0\) \(q-\beta _{2}q^{2}+\beta _{3}q^{3}+(1+\beta _{4})q^{4}-q^{5}+\cdots\)
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