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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 3 167
4008.2.a.e 4008.a 1.a $3$ $32.004$ 3.3.148.1 None \(0\) \(-3\) \(6\) \(-4\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+(2-\beta _{2})q^{5}+(-2+2\beta _{1})q^{7}+\cdots\)
4008.2.a.h 4008.a 1.a $8$ $32.004$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(0\) \(-8\) \(0\) \(-1\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+\beta _{1}q^{5}+\beta _{3}q^{7}+q^{9}+(\beta _{2}+\beta _{4}+\cdots)q^{11}+\cdots\)
  displayed columns for results