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Label Char Prim Dim $A$ Field CM Minimal twist Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 3 7 41
1722.2.a.t 1722.a 1.a $2$ $13.750$ \(\Q(\sqrt{33}) \) None 1722.2.a.t \(2\) \(-2\) \(-1\) \(2\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-\beta q^{5}-q^{6}+q^{7}+\cdots\)
1722.2.a.u 1722.a 1.a $2$ $13.750$ \(\Q(\sqrt{17}) \) None 1722.2.a.u \(2\) \(-2\) \(3\) \(2\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+(1+\beta )q^{5}-q^{6}+\cdots\)
  displayed columns for results