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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 3 7
1176.4.a.bd 1176.a 1.a $4$ $69.386$ \(\mathbb{Q}[x]/(x^{4} - \cdots)\) None \(0\) \(12\) \(4\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+3q^{3}+(1+\beta _{1})q^{5}+9q^{9}+(3+2\beta _{1}+\cdots)q^{11}+\cdots\)
1176.4.a.be 1176.a 1.a $4$ $69.386$ 4.4.391168.1 None \(0\) \(12\) \(8\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+3q^{3}+(2+\beta _{1})q^{5}+9q^{9}+(10-\beta _{1}+\cdots)q^{11}+\cdots\)
  displayed columns for results