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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 5 7
490.6.a.a 490.a 1.a $1$ $78.588$ \(\Q\) None \(-4\) \(-24\) \(-25\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-4q^{2}-24q^{3}+2^{4}q^{4}-5^{2}q^{5}+96q^{6}+\cdots\)
490.6.a.g 490.a 1.a $1$ $78.588$ \(\Q\) None \(-4\) \(9\) \(-25\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-4q^{2}+9q^{3}+2^{4}q^{4}-5^{2}q^{5}-6^{2}q^{6}+\cdots\)
490.6.a.h 490.a 1.a $1$ $78.588$ \(\Q\) None \(-4\) \(18\) \(-25\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-4q^{2}+18q^{3}+2^{4}q^{4}-5^{2}q^{5}-72q^{6}+\cdots\)
490.6.a.i 490.a 1.a $1$ $78.588$ \(\Q\) None \(-4\) \(23\) \(-25\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-4q^{2}+23q^{3}+2^{4}q^{4}-5^{2}q^{5}-92q^{6}+\cdots\)
490.6.a.n 490.a 1.a $2$ $78.588$ \(\Q(\sqrt{106}) \) None \(-8\) \(-22\) \(-50\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-4q^{2}+(-11+\beta )q^{3}+2^{4}q^{4}-5^{2}q^{5}+\cdots\)
490.6.a.r 490.a 1.a $2$ $78.588$ \(\Q(\sqrt{337}) \) None \(-8\) \(20\) \(-50\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-4q^{2}+(10-\beta )q^{3}+2^{4}q^{4}-5^{2}q^{5}+\cdots\)
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