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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 7
224.2.a.b 224.a 1.a $1$ $1.789$ \(\Q\) None \(0\) \(2\) \(0\) \(1\) $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{3}+q^{7}+q^{9}+4q^{11}-4q^{13}+\cdots\)
224.2.a.c 224.a 1.a $2$ $1.789$ \(\Q(\sqrt{5}) \) None \(0\) \(-2\) \(2\) \(2\) $+$ $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta )q^{3}+(1-\beta )q^{5}+q^{7}+(3+\cdots)q^{9}+\cdots\)
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