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Label Char Prim Dim $A$ Field Image CM RM Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
3227.1.c.a 3227.c 3227.c $3$ $1.610$ \(\Q(\zeta_{14})^+\) $D_{7}$ \(\Q(\sqrt{-3227}) \) None \(0\) \(-1\) \(0\) \(3\) \(q-\beta _{1}q^{3}+q^{4}+q^{7}+(1+\beta _{2})q^{9}-\beta _{1}q^{12}+\cdots\)
3227.1.c.b 3227.c 3227.c $3$ $1.610$ \(\Q(\zeta_{14})^+\) $D_{7}$ \(\Q(\sqrt{-3227}) \) None \(0\) \(1\) \(0\) \(-3\) \(q+\beta _{1}q^{3}+q^{4}-q^{7}+(1+\beta _{2})q^{9}+\beta _{1}q^{12}+\cdots\)
  displayed columns for results