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Results (8 matches)

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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 7 11
539.4.a.c 539.a 1.a $1$ $31.802$ \(\Q\) None \(3\) \(3\) \(2\) \(0\) $+$ $-$ $\mathrm{SU}(2)$ \(q+3q^{2}+3q^{3}+q^{4}+2q^{5}+9q^{6}+\cdots\)
539.4.a.d 539.a 1.a $2$ $31.802$ \(\Q(\sqrt{2}) \) None \(-2\) \(4\) \(4\) \(0\) $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{2}+2q^{3}+(1-2\beta )q^{4}+\cdots\)
539.4.a.e 539.a 1.a $2$ $31.802$ \(\Q(\sqrt{3}) \) None \(2\) \(2\) \(-2\) \(0\) $-$ $+$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{2}+(1+4\beta )q^{3}+(-4+2\beta )q^{4}+\cdots\)
539.4.a.g 539.a 1.a $4$ $31.802$ 4.4.522072.1 None \(-2\) \(-14\) \(-10\) \(0\) $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{2}q^{2}+(-4-\beta _{1})q^{3}+(6-\beta _{2}-2\beta _{3})q^{4}+\cdots\)
539.4.a.i 539.a 1.a $6$ $31.802$ 6.6.1536100192.1 None \(0\) \(0\) \(0\) \(0\) $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{5}q^{2}+\beta _{1}q^{3}+(1-\beta _{4})q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
539.4.a.j 539.a 1.a $9$ $31.802$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(-3\) \(-15\) \(-32\) \(0\) $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(-2+\beta _{1}+\beta _{4})q^{3}+(3+\beta _{2}+\cdots)q^{4}+\cdots\)
539.4.a.l 539.a 1.a $10$ $31.802$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(-4\) \(0\) \(0\) \(0\) $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{5}q^{2}+(-\beta _{3}+\beta _{6})q^{3}+(\beta _{1}+\beta _{5}+\cdots)q^{4}+\cdots\)
539.4.a.m 539.a 1.a $10$ $31.802$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(0\) \(0\) \(-10\) \(0\) $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-\beta _{4}q^{3}+(5+\beta _{2})q^{4}+(-1+\cdots)q^{5}+\cdots\)
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