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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
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 5 31
775.2.a.b 775.a 1.a $1$ $6.188$ \(\Q\) None \(1\) \(-2\) \(0\) \(-4\) $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-2q^{3}-q^{4}-2q^{6}-4q^{7}-3q^{8}+\cdots\)
775.2.a.c 775.a 1.a $1$ $6.188$ \(\Q\) None \(2\) \(1\) \(0\) \(2\) $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{2}+q^{3}+2q^{4}+2q^{6}+2q^{7}+\cdots\)
775.2.a.d 775.a 1.a $2$ $6.188$ \(\Q(\sqrt{5}) \) None \(-1\) \(2\) \(0\) \(4\) $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta q^{2}+2\beta q^{3}+(-1+\beta )q^{4}+(-2+\cdots)q^{6}+\cdots\)
775.2.a.g 775.a 1.a $4$ $6.188$ 4.4.20308.1 None \(1\) \(1\) \(0\) \(0\) $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-\beta _{3}q^{3}+(2+\beta _{1}+\beta _{2})q^{4}+\cdots\)
775.2.a.j 775.a 1.a $5$ $6.188$ 5.5.205225.1 None \(4\) \(1\) \(0\) \(6\) $+$ $-$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{2}-\beta _{3}q^{3}+(2-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
775.2.a.k 775.a 1.a $5$ $6.188$ 5.5.144209.1 None \(4\) \(3\) \(0\) \(2\) $-$ $+$ $\mathrm{SU}(2)$ \(q+(1-\beta _{3})q^{2}+(1-\beta _{2})q^{3}+(1-\beta _{1}+\cdots)q^{4}+\cdots\)
775.2.a.l 775.a 1.a $10$ $6.188$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(0\) \(0\) \(0\) \(0\) $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-\beta _{8}q^{3}+(1+\beta _{2})q^{4}+(1-\beta _{4}+\cdots)q^{6}+\cdots\)
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