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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 163
163.2.a.a 163.a 1.a $1$ $1.302$ \(\Q\) None \(0\) \(0\) \(-4\) \(2\) $+$ $\mathrm{SU}(2)$ \(q-2q^{4}-4q^{5}+2q^{7}-3q^{9}-6q^{11}+\cdots\)
163.2.a.b 163.a 1.a $5$ $1.302$ 5.5.65657.1 None \(-5\) \(-5\) \(-9\) \(-6\) $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{2}+\beta _{3})q^{2}+(-1+\beta _{1}-\beta _{2}+\cdots)q^{3}+\cdots\)
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