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Results (8 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 23
1656.2.a.b 1656.a 1.a $1$ $13.223$ \(\Q\) None \(0\) \(0\) \(-2\) \(-4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{5}-4q^{7}+4q^{11}-2q^{13}+2q^{17}+\cdots\)
1656.2.a.g 1656.a 1.a $1$ $13.223$ \(\Q\) None \(0\) \(0\) \(2\) \(-4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{5}-4q^{7}+2q^{11}+7q^{13}+4q^{17}+\cdots\)
1656.2.a.h 1656.a 1.a $1$ $13.223$ \(\Q\) None \(0\) \(0\) \(2\) \(2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{5}+2q^{7}+2q^{11}-2q^{13}+4q^{17}+\cdots\)
1656.2.a.i 1656.a 1.a $1$ $13.223$ \(\Q\) None \(0\) \(0\) \(4\) \(2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+4q^{5}+2q^{7}+4q^{11}-5q^{13}+2q^{17}+\cdots\)
1656.2.a.l 1656.a 1.a $2$ $13.223$ \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(-2\) \(4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta )q^{5}+2q^{7}+(-1-\beta )q^{11}+\cdots\)
1656.2.a.n 1656.a 1.a $3$ $13.223$ 3.3.148.1 None \(0\) \(0\) \(0\) \(2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{2}q^{5}+(1+\beta _{1})q^{7}+(-1+\beta _{1}+\beta _{2})q^{11}+\cdots\)
1656.2.a.o 1656.a 1.a $4$ $13.223$ 4.4.44688.2 None \(0\) \(0\) \(-4\) \(2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{2})q^{5}-\beta _{1}q^{7}+(-\beta _{2}+\beta _{3})q^{11}+\cdots\)
1656.2.a.p 1656.a 1.a $4$ $13.223$ 4.4.44688.2 None \(0\) \(0\) \(4\) \(2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(1+\beta _{2})q^{5}-\beta _{1}q^{7}+(\beta _{2}-\beta _{3})q^{11}+\cdots\)
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