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

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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 7
336.4.a.b 336.a 1.a $1$ $19.825$ \(\Q\) None \(0\) \(-3\) \(-10\) \(7\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-3q^{3}-10q^{5}+7q^{7}+9q^{9}+52q^{11}+\cdots\)
336.4.a.c 336.a 1.a $1$ $19.825$ \(\Q\) None \(0\) \(-3\) \(-2\) \(7\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-3q^{3}-2q^{5}+7q^{7}+9q^{9}-52q^{11}+\cdots\)
336.4.a.g 336.a 1.a $1$ $19.825$ \(\Q\) None \(0\) \(3\) \(-10\) \(-7\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+3q^{3}-10q^{5}-7q^{7}+9q^{9}+12q^{11}+\cdots\)
336.4.a.h 336.a 1.a $1$ $19.825$ \(\Q\) None \(0\) \(3\) \(-4\) \(7\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+3q^{3}-4q^{5}+7q^{7}+9q^{9}-62q^{11}+\cdots\)
336.4.a.i 336.a 1.a $1$ $19.825$ \(\Q\) None \(0\) \(3\) \(-2\) \(-7\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+3q^{3}-2q^{5}-7q^{7}+9q^{9}-12q^{11}+\cdots\)
336.4.a.m 336.a 1.a $2$ $19.825$ \(\Q(\sqrt{57}) \) None \(0\) \(-6\) \(6\) \(-14\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-3q^{3}+(3+\beta )q^{5}-7q^{7}+9q^{9}+(3+\cdots)q^{11}+\cdots\)
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