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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
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 3 5 7
2205.4.a.e 2205.a 1.a $1$ $130.099$ \(\Q\) None \(-3\) \(0\) \(-5\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-3q^{2}+q^{4}-5q^{5}+21q^{8}+15q^{10}+\cdots\)
2205.4.a.bf 2205.a 1.a $2$ $130.099$ \(\Q(\sqrt{2}) \) None \(6\) \(0\) \(-10\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(3+\beta )q^{2}+(3+6\beta )q^{4}-5q^{5}+(-3+\cdots)q^{8}+\cdots\)
2205.4.a.bi 2205.a 1.a $3$ $130.099$ 3.3.4892.1 None \(-3\) \(0\) \(-15\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+(-\beta _{1}+\beta _{2})q^{4}-5q^{5}+\cdots\)
2205.4.a.bp 2205.a 1.a $4$ $130.099$ 4.4.51264.1 None \(6\) \(0\) \(-20\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(2-\beta _{1}-\beta _{2})q^{2}+(6-\beta _{1}-\beta _{2}+2\beta _{3})q^{4}+\cdots\)
2205.4.a.br 2205.a 1.a $5$ $130.099$ \(\mathbb{Q}[x]/(x^{5} - \cdots)\) None \(-3\) \(0\) \(-25\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+(5+\beta _{2})q^{4}-5q^{5}+\cdots\)
2205.4.a.bz 2205.a 1.a $6$ $130.099$ 6.6.1163891200.1 None \(2\) \(0\) \(-30\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(2+3\beta _{1}+2\beta _{2}-\beta _{3}-\beta _{4}+\cdots)q^{4}+\cdots\)
2205.4.a.cd 2205.a 1.a $8$ $130.099$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-2\) \(0\) \(-40\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(6+\beta _{1}+\beta _{2})q^{4}-5q^{5}+\cdots\)
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