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Label Char Prim Dim $A$ Field Image CM RM Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1403.1.b.a 1403.b 1403.b $3$ $0.700$ \(\Q(\zeta_{14})^+\) $D_{7}$ \(\Q(\sqrt{-1403}) \) None \(0\) \(-1\) \(0\) \(-1\) \(q-\beta _{1}q^{3}+q^{4}-\beta _{1}q^{7}+(1+\beta _{2})q^{9}+\cdots\)
1403.1.b.b 1403.b 1403.b $3$ $0.700$ \(\Q(\zeta_{14})^+\) $D_{7}$ \(\Q(\sqrt{-1403}) \) None \(0\) \(-1\) \(0\) \(1\) \(q-\beta _{1}q^{3}+q^{4}+\beta _{1}q^{7}+(1+\beta _{2})q^{9}+\cdots\)
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