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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 3 5 17
8670.2.a.h 8670.a 1.a $1$ $69.230$ \(\Q\) None \(-1\) \(1\) \(-1\) \(-3\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-3q^{7}+\cdots\)
8670.2.a.i 8670.a 1.a $1$ $69.230$ \(\Q\) None \(-1\) \(1\) \(-1\) \(3\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+3q^{7}+\cdots\)
8670.2.a.be 8670.a 1.a $2$ $69.230$ \(\Q(\sqrt{6}) \) None \(-2\) \(2\) \(-2\) \(0\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+\beta q^{7}+\cdots\)
8670.2.a.bf 8670.a 1.a $2$ $69.230$ \(\Q(\sqrt{2}) \) None \(-2\) \(2\) \(-2\) \(4\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+(2+\beta )q^{7}+\cdots\)
8670.2.a.bw 8670.a 1.a $4$ $69.230$ \(\Q(\zeta_{16})^+\) None \(-4\) \(4\) \(-4\) \(0\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+\beta _{1}q^{7}+\cdots\)
8670.2.a.cd 8670.a 1.a $6$ $69.230$ 6.6.46609344.1 None \(-6\) \(6\) \(-6\) \(0\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+\beta _{5}q^{7}+\cdots\)
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