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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
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 3 13
507.4.a.a 507.a 1.a $1$ $29.914$ \(\Q\) None \(-3\) \(3\) \(9\) \(-2\) $-$ $+$ $\mathrm{SU}(2)$ \(q-3q^{2}+3q^{3}+q^{4}+9q^{5}-9q^{6}+\cdots\)
507.4.a.b 507.a 1.a $1$ $29.914$ \(\Q\) None \(-1\) \(3\) \(7\) \(-10\) $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+3q^{3}-7q^{4}+7q^{5}-3q^{6}+\cdots\)
507.4.a.d 507.a 1.a $1$ $29.914$ \(\Q\) None \(1\) \(3\) \(-7\) \(10\) $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+3q^{3}-7q^{4}-7q^{5}+3q^{6}+\cdots\)
507.4.a.e 507.a 1.a $1$ $29.914$ \(\Q\) None \(3\) \(3\) \(-9\) \(2\) $-$ $+$ $\mathrm{SU}(2)$ \(q+3q^{2}+3q^{3}+q^{4}-9q^{5}+9q^{6}+\cdots\)
507.4.a.h 507.a 1.a $3$ $29.914$ 3.3.3144.1 None \(-2\) \(9\) \(-4\) \(-30\) $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+3q^{3}+(3+\beta _{2})q^{4}+\cdots\)
507.4.a.o 507.a 1.a $9$ $29.914$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(-6\) \(27\) \(-33\) \(-83\) $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{3})q^{2}+3q^{3}+(5+\beta _{3}+\beta _{5}+\cdots)q^{4}+\cdots\)
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