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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 5 7
560.2.a.b 560.a 1.a $1$ $4.472$ \(\Q\) None \(0\) \(-1\) \(-1\) \(-1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-q^{7}-2q^{9}+3q^{11}+5q^{13}+\cdots\)
560.2.a.e 560.a 1.a $1$ $4.472$ \(\Q\) None \(0\) \(1\) \(-1\) \(1\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{7}-2q^{9}+5q^{11}+q^{13}+\cdots\)
560.2.a.f 560.a 1.a $1$ $4.472$ \(\Q\) None \(0\) \(3\) \(1\) \(-1\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+3q^{3}+q^{5}-q^{7}+6q^{9}+5q^{11}+\cdots\)
560.2.a.g 560.a 1.a $2$ $4.472$ \(\Q(\sqrt{17}) \) None \(0\) \(-1\) \(2\) \(-2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta q^{3}+q^{5}-q^{7}+(1+\beta )q^{9}+\beta q^{11}+\cdots\)
560.2.a.h 560.a 1.a $2$ $4.472$ \(\Q(\sqrt{33}) \) None \(0\) \(1\) \(-2\) \(2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{3}-q^{5}+q^{7}+(5+\beta )q^{9}+(-4+\cdots)q^{11}+\cdots\)
560.2.a.i 560.a 1.a $2$ $4.472$ \(\Q(\sqrt{17}) \) None \(0\) \(1\) \(2\) \(2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{3}+q^{5}+q^{7}+(1+\beta )q^{9}-\beta q^{11}+\cdots\)
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