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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
768.4.a.d 768.a 1.a $1$ $45.313$ \(\Q\) None \(0\) \(3\) \(8\) \(12\) $-$ $-$ $\mathrm{SU}(2)$ \(q+3q^{3}+8q^{5}+12q^{7}+9q^{9}-12q^{11}+\cdots\)
768.4.a.k 768.a 1.a $2$ $45.313$ \(\Q(\sqrt{13}) \) None \(0\) \(6\) \(-8\) \(16\) $-$ $-$ $\mathrm{SU}(2)$ \(q+3q^{3}+(-4-\beta )q^{5}+(8+\beta )q^{7}+9q^{9}+\cdots\)
768.4.a.l 768.a 1.a $2$ $45.313$ \(\Q(\sqrt{11}) \) None \(0\) \(6\) \(0\) \(0\) $-$ $-$ $\mathrm{SU}(2)$ \(q+3q^{3}+\beta q^{5}+\beta q^{7}+9q^{9}-48q^{11}+\cdots\)
768.4.a.o 768.a 1.a $2$ $45.313$ \(\Q(\sqrt{3}) \) None \(0\) \(6\) \(0\) \(0\) $-$ $-$ $\mathrm{SU}(2)$ \(q+3q^{3}+\beta q^{5}-7\beta q^{7}+9q^{9}+48q^{11}+\cdots\)
768.4.a.t 768.a 1.a $3$ $45.313$ 3.3.1436.1 None \(0\) \(9\) \(10\) \(14\) $-$ $-$ $\mathrm{SU}(2)$ \(q+3q^{3}+(3+\beta _{2})q^{5}+(5-\beta _{1})q^{7}+9q^{9}+\cdots\)
768.4.a.v 768.a 1.a $4$ $45.313$ 4.4.9792.1 None \(0\) \(12\) \(0\) \(0\) $-$ $-$ $\mathrm{SU}(2)$ \(q+3q^{3}+\beta _{1}q^{5}+(\beta _{1}-\beta _{3})q^{7}+9q^{9}+\cdots\)
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