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Results (3 matches)

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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 3 23
3174.2.a.l 3174.a 1.a $2$ $25.345$ \(\Q(\sqrt{2}) \) None \(-2\) \(2\) \(0\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+\beta q^{5}-q^{6}+3\beta q^{7}+\cdots\)
3174.2.a.u 3174.a 1.a $4$ $25.345$ \(\Q(\zeta_{24})^+\) None \(-4\) \(4\) \(0\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+(-\beta _{1}-\beta _{3})q^{5}+\cdots\)
3174.2.a.z 3174.a 1.a $5$ $25.345$ \(\Q(\zeta_{22})^+\) None \(-5\) \(5\) \(11\) \(-1\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+(2-\beta _{1}-\beta _{2}-\beta _{4})q^{5}+\cdots\)
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