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Results (6 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 29
464.4.a.a 464.a 1.a $1$ $27.377$ \(\Q\) None \(0\) \(-7\) \(5\) \(2\) $-$ $+$ $\mathrm{SU}(2)$ \(q-7q^{3}+5q^{5}+2q^{7}+22q^{9}-37q^{11}+\cdots\)
464.4.a.b 464.a 1.a $1$ $27.377$ \(\Q\) None \(0\) \(7\) \(-15\) \(18\) $-$ $+$ $\mathrm{SU}(2)$ \(q+7q^{3}-15q^{5}+18q^{7}+22q^{9}-3^{3}q^{11}+\cdots\)
464.4.a.d 464.a 1.a $2$ $27.377$ \(\Q(\sqrt{13}) \) None \(0\) \(0\) \(-10\) \(20\) $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta q^{3}+(-5-2\beta )q^{5}+(10+4\beta )q^{7}+\cdots\)
464.4.a.k 464.a 1.a $4$ $27.377$ 4.4.225792.1 None \(0\) \(0\) \(-20\) \(8\) $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+(-5-\beta _{2})q^{5}+(2-2\beta _{1}+\cdots)q^{7}+\cdots\)
464.4.a.l 464.a 1.a $5$ $27.377$ 5.5.13458092.1 None \(0\) \(-8\) \(10\) \(-40\) $-$ $+$ $\mathrm{SU}(2)$ \(q+(-2+\beta _{3})q^{3}+(2-2\beta _{1}+\beta _{2}+\beta _{3}+\cdots)q^{5}+\cdots\)
464.4.a.m 464.a 1.a $5$ $27.377$ \(\mathbb{Q}[x]/(x^{5} - \cdots)\) None \(0\) \(-4\) \(10\) \(-32\) $+$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{3}+(2+\beta _{3})q^{5}+(-6+\cdots)q^{7}+\cdots\)
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