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Results (7 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 7 41
574.2.a.a 574.a 1.a $1$ $4.583$ \(\Q\) None \(-1\) \(-2\) \(4\) \(1\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-2q^{3}+q^{4}+4q^{5}+2q^{6}+q^{7}+\cdots\)
574.2.a.e 574.a 1.a $1$ $4.583$ \(\Q\) None \(-1\) \(2\) \(2\) \(1\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+2q^{3}+q^{4}+2q^{5}-2q^{6}+q^{7}+\cdots\)
574.2.a.f 574.a 1.a $1$ $4.583$ \(\Q\) None \(-1\) \(3\) \(-1\) \(1\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+3q^{3}+q^{4}-q^{5}-3q^{6}+q^{7}+\cdots\)
574.2.a.i 574.a 1.a $1$ $4.583$ \(\Q\) None \(1\) \(-1\) \(1\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{7}+\cdots\)
574.2.a.k 574.a 1.a $2$ $4.583$ \(\Q(\sqrt{3}) \) None \(2\) \(4\) \(2\) \(2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+2q^{3}+q^{4}+(1+\beta )q^{5}+2q^{6}+\cdots\)
574.2.a.l 574.a 1.a $3$ $4.583$ 3.3.568.1 None \(3\) \(1\) \(1\) \(-3\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-\beta _{2}q^{3}+q^{4}+\beta _{1}q^{5}-\beta _{2}q^{6}+\cdots\)
574.2.a.m 574.a 1.a $4$ $4.583$ 4.4.11348.1 None \(-4\) \(-1\) \(3\) \(-4\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-\beta _{2}q^{3}+q^{4}+(1-\beta _{2}+\beta _{3})q^{5}+\cdots\)
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