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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 7
441.6.a.f 441.a 1.a $1$ $70.729$ \(\Q\) \(\Q(\sqrt{-3}) \) \(0\) \(0\) \(0\) \(0\) $+$ $-$ $N(\mathrm{U}(1))$ \(q-2^{5}q^{4}+427q^{13}+2^{10}q^{16}-3143q^{19}+\cdots\)
441.6.a.o 441.a 1.a $2$ $70.729$ \(\Q(\sqrt{7}) \) \(\Q(\sqrt{-7}) \) \(0\) \(0\) \(0\) \(0\) $+$ $-$ $N(\mathrm{U}(1))$ \(q+\beta q^{2}-5^{2}q^{4}-57\beta q^{8}-302\beta q^{11}+\cdots\)
441.6.a.p 441.a 1.a $2$ $70.729$ \(\Q(\sqrt{7}) \) None \(0\) \(0\) \(0\) \(0\) $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{2}-4q^{4}+7\beta q^{5}-6^{2}\beta q^{8}+14^{2}q^{10}+\cdots\)
441.6.a.x 441.a 1.a $4$ $70.729$ 4.4.358541904.1 None \(0\) \(0\) \(0\) \(0\) $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(24+\beta _{3})q^{4}+(-3\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots\)
441.6.a.y 441.a 1.a $4$ $70.729$ \(\Q(\sqrt{19}, \sqrt{69})\) None \(0\) \(0\) \(0\) \(0\) $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+44q^{4}+\beta _{2}q^{5}+12\beta _{1}q^{8}+\cdots\)
441.6.a.bd 441.a 1.a $6$ $70.729$ \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None \(0\) \(0\) \(0\) \(0\) $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(30+\beta _{3})q^{4}+(2\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots\)
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