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Results (3 matches)

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Label Char Prim Dim $A$ Field CM Minimal twist Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 3 5 7
315.4.a.f 315.a 1.a $2$ $18.586$ \(\Q(\sqrt{2}) \) None 35.4.a.b \(-8\) \(0\) \(10\) \(-14\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(-4+\beta )q^{2}+(10-8\beta )q^{4}+5q^{5}+\cdots\)
315.4.a.l 315.a 1.a $2$ $18.586$ \(\Q(\sqrt{5}) \) None 105.4.a.d \(4\) \(0\) \(10\) \(-14\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(2+\beta )q^{2}+(1+4\beta )q^{4}+5q^{5}-7q^{7}+\cdots\)
315.4.a.m 315.a 1.a $2$ $18.586$ \(\Q(\sqrt{17}) \) None 105.4.a.c \(7\) \(0\) \(10\) \(-14\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(4-\beta )q^{2}+(12-7\beta )q^{4}+5q^{5}-7q^{7}+\cdots\)
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