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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 3 5
15.4.a.a 15.a 1.a $1$ $0.885$ \(\Q\) None \(1\) \(3\) \(5\) \(-24\) $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+3q^{3}-7q^{4}+5q^{5}+3q^{6}+\cdots\)
15.4.a.b 15.a 1.a $1$ $0.885$ \(\Q\) None \(3\) \(-3\) \(-5\) \(20\) $+$ $+$ $\mathrm{SU}(2)$ \(q+3q^{2}-3q^{3}+q^{4}-5q^{5}-9q^{6}+\cdots\)
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