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Results (5 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 5 7 11
8470.2.a.x 8470.a 1.a $1$ $67.633$ \(\Q\) None \(1\) \(0\) \(-1\) \(1\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}-3q^{9}+\cdots\)
8470.2.a.y 8470.a 1.a $1$ $67.633$ \(\Q\) None \(1\) \(0\) \(-1\) \(1\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}-3q^{9}+\cdots\)
8470.2.a.bz 8470.a 1.a $2$ $67.633$ \(\Q(\sqrt{3}) \) None \(2\) \(0\) \(-2\) \(2\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+\beta q^{3}+q^{4}-q^{5}+\beta q^{6}+q^{7}+\cdots\)
8470.2.a.ca 8470.a 1.a $2$ $67.633$ \(\Q(\sqrt{3}) \) None \(2\) \(0\) \(-2\) \(2\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+\beta q^{3}+q^{4}-q^{5}+\beta q^{6}+q^{7}+\cdots\)
8470.2.a.da 8470.a 1.a $6$ $67.633$ 6.6.38498000.1 None \(6\) \(-5\) \(-6\) \(6\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+(-1+\beta _{1})q^{3}+q^{4}-q^{5}+(-1+\cdots)q^{6}+\cdots\)
  displayed columns for results