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Results (6 matches)

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Label Char Prim Dim $A$ Field CM Minimal twist Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 3 7 11
231.4.a.e 231.a 1.a $1$ $13.629$ \(\Q\) None 231.4.a.e \(5\) \(3\) \(-6\) \(7\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+5q^{2}+3q^{3}+17q^{4}-6q^{5}+15q^{6}+\cdots\)
231.4.a.g 231.a 1.a $2$ $13.629$ \(\Q(\sqrt{17}) \) None 231.4.a.g \(-3\) \(6\) \(25\) \(14\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta )q^{2}+3q^{3}+(-3+3\beta )q^{4}+\cdots\)
231.4.a.i 231.a 1.a $2$ $13.629$ \(\Q(\sqrt{37}) \) None 231.4.a.i \(3\) \(6\) \(2\) \(14\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{2}+3q^{3}+(2+3\beta )q^{4}+(-1+\cdots)q^{5}+\cdots\)
231.4.a.j 231.a 1.a $5$ $13.629$ \(\mathbb{Q}[x]/(x^{5} - \cdots)\) None 231.4.a.j \(-1\) \(-15\) \(7\) \(-35\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}-3q^{3}+(4+\beta _{2})q^{4}+(2-2\beta _{1}+\cdots)q^{5}+\cdots\)
231.4.a.k 231.a 1.a $5$ $13.629$ \(\mathbb{Q}[x]/(x^{5} - \cdots)\) None 231.4.a.k \(-1\) \(-15\) \(21\) \(35\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}-3q^{3}+(4+\beta _{1}+\beta _{2})q^{4}+\cdots\)
231.4.a.l 231.a 1.a $5$ $13.629$ \(\mathbb{Q}[x]/(x^{5} - \cdots)\) None 231.4.a.l \(5\) \(15\) \(7\) \(-35\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{2}+3q^{3}+(4-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
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