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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 5 13
1560.2.a.a 1560.a 1.a $1$ $12.457$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}+q^{13}+q^{15}-6q^{17}+\cdots\)
1560.2.a.g 1560.a 1.a $1$ $12.457$ \(\Q\) None \(0\) \(1\) \(-1\) \(-4\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}-4q^{7}+q^{9}+4q^{11}+q^{13}+\cdots\)
1560.2.a.h 1560.a 1.a $1$ $12.457$ \(\Q\) None \(0\) \(1\) \(-1\) \(-1\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}-q^{7}+q^{9}-5q^{11}+q^{13}+\cdots\)
1560.2.a.j 1560.a 1.a $1$ $12.457$ \(\Q\) None \(0\) \(1\) \(1\) \(-3\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-3q^{7}+q^{9}-3q^{11}-q^{13}+\cdots\)
1560.2.a.n 1560.a 1.a $2$ $12.457$ \(\Q(\sqrt{33}) \) None \(0\) \(-2\) \(-2\) \(1\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+\beta q^{7}+q^{9}-\beta q^{11}-q^{13}+\cdots\)
1560.2.a.o 1560.a 1.a $2$ $12.457$ \(\Q(\sqrt{17}) \) None \(0\) \(-2\) \(2\) \(-1\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-\beta q^{7}+q^{9}+(-4+\beta )q^{11}+\cdots\)
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