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Note: Search results may be incomplete due to uncomputed quantities: atkin_lehner_string (110727 objects)

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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 7
672.4.a.j 672.a 1.a $2$ $39.649$ \(\Q(\sqrt{17}) \) None \(0\) \(6\) \(-10\) \(14\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+3q^{3}+(-5-\beta )q^{5}+7q^{7}+9q^{9}+\cdots\)
672.4.a.k 672.a 1.a $2$ $39.649$ \(\Q(\sqrt{37}) \) None \(0\) \(6\) \(-4\) \(14\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+3q^{3}+(-2-\beta )q^{5}+7q^{7}+9q^{9}+\cdots\)
  displayed columns for results