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Results (9 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 29
8352.2.a.a 8352.a 1.a $1$ $66.691$ \(\Q\) None \(0\) \(0\) \(-2\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{5}-4q^{11}-2q^{13}-6q^{17}+4q^{19}+\cdots\)
8352.2.a.b 8352.a 1.a $1$ $66.691$ \(\Q\) None \(0\) \(0\) \(-2\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{5}+4q^{11}-2q^{13}-6q^{17}-4q^{19}+\cdots\)
8352.2.a.g 8352.a 1.a $1$ $66.691$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-5q^{11}+q^{13}+6q^{17}-4q^{19}+\cdots\)
8352.2.a.h 8352.a 1.a $1$ $66.691$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+5q^{11}+q^{13}+6q^{17}+4q^{19}+\cdots\)
8352.2.a.q 8352.a 1.a $2$ $66.691$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{5}+(1-\beta )q^{7}+(-1+\beta )q^{11}+\cdots\)
8352.2.a.v 8352.a 1.a $3$ $66.691$ 3.3.1708.1 None \(0\) \(0\) \(5\) \(-1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(2-\beta _{1})q^{5}+(-\beta _{1}-\beta _{2})q^{7}+(1-\beta _{1}+\cdots)q^{11}+\cdots\)
8352.2.a.w 8352.a 1.a $3$ $66.691$ 3.3.1708.1 None \(0\) \(0\) \(5\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(2-\beta _{1})q^{5}+(\beta _{1}+\beta _{2})q^{7}+(-1+\beta _{1}+\cdots)q^{11}+\cdots\)
8352.2.a.bd 8352.a 1.a $5$ $66.691$ 5.5.1544456.1 None \(0\) \(0\) \(-4\) \(10\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{5}+(2+\beta _{2})q^{7}+(\beta _{1}-\beta _{2}+\cdots)q^{11}+\cdots\)
8352.2.a.bg 8352.a 1.a $5$ $66.691$ 5.5.230224.1 None \(0\) \(0\) \(2\) \(-4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{4}q^{5}+(-1-\beta _{1}-\beta _{3}-\beta _{4})q^{7}+\cdots\)
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