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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
1176.4.a.i 1176.a 1.a $1$ $69.386$ \(\Q\) None \(0\) \(3\) \(-7\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+3q^{3}-7q^{5}+9q^{9}+7q^{11}+52q^{13}+\cdots\)
1176.4.a.j 1176.a 1.a $1$ $69.386$ \(\Q\) None \(0\) \(3\) \(-4\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+3q^{3}-4q^{5}+9q^{9}-26q^{11}-2q^{13}+\cdots\)
1176.4.a.k 1176.a 1.a $1$ $69.386$ \(\Q\) None \(0\) \(3\) \(-2\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+3q^{3}-2q^{5}+9q^{9}-18q^{11}-33q^{13}+\cdots\)
1176.4.a.m 1176.a 1.a $1$ $69.386$ \(\Q\) None \(0\) \(3\) \(10\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+3q^{3}+10q^{5}+9q^{9}-12q^{11}-30q^{13}+\cdots\)
1176.4.a.o 1176.a 1.a $1$ $69.386$ \(\Q\) None \(0\) \(3\) \(12\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+3q^{3}+12q^{5}+9q^{9}-60q^{11}+44q^{13}+\cdots\)
1176.4.a.t 1176.a 1.a $2$ $69.386$ \(\Q(\sqrt{137}) \) None \(0\) \(6\) \(-18\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+3q^{3}+(-9-\beta )q^{5}+9q^{9}+(29-3\beta )q^{11}+\cdots\)
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