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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 5 7
245.6.a.j 245.a 1.a $8$ $39.294$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(3\) \(-2\) \(200\) \(0\) $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-\beta _{3}q^{3}+(5^{2}+\beta _{1}+\beta _{2})q^{4}+\cdots\)
245.6.a.m 245.a 1.a $10$ $39.294$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(10\) \(58\) \(250\) \(0\) $-$ $+$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{2}+(6-\beta _{3})q^{3}+(18-\beta _{1}+\cdots)q^{4}+\cdots\)
  displayed columns for results