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Results (7 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 5
1600.2.a.b 1600.a 1.a $1$ $12.776$ \(\Q\) None \(0\) \(-3\) \(0\) \(-2\) $-$ $-$ $\mathrm{SU}(2)$ \(q-3q^{3}-2q^{7}+6q^{9}+q^{11}-4q^{13}+\cdots\)
1600.2.a.d 1600.a 1.a $1$ $12.776$ \(\Q\) None \(0\) \(-2\) \(0\) \(2\) $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{3}+2q^{7}+q^{9}-4q^{11}+4q^{13}+\cdots\)
1600.2.a.l 1600.a 1.a $1$ $12.776$ \(\Q\) \(\Q(\sqrt{-1}) \) \(0\) \(0\) \(0\) \(0\) $-$ $-$ $N(\mathrm{U}(1))$ \(q-3q^{9}-4q^{13}+8q^{17}-10q^{29}+\cdots\)
1600.2.a.m 1600.a 1.a $1$ $12.776$ \(\Q\) \(\Q(\sqrt{-1}) \) \(0\) \(0\) \(0\) \(0\) $-$ $-$ $N(\mathrm{U}(1))$ \(q-3q^{9}+4q^{13}-8q^{17}-10q^{29}+\cdots\)
1600.2.a.p 1600.a 1.a $1$ $12.776$ \(\Q\) None \(0\) \(1\) \(0\) \(-2\) $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{7}-2q^{9}-3q^{11}+4q^{13}+\cdots\)
1600.2.a.u 1600.a 1.a $1$ $12.776$ \(\Q\) None \(0\) \(2\) \(0\) \(-2\) $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{3}-2q^{7}+q^{9}-4q^{11}-4q^{13}+\cdots\)
1600.2.a.ba 1600.a 1.a $2$ $12.776$ \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(0\) \(0\) $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta q^{3}+2\beta q^{7}+2q^{9}-\beta q^{11}-4q^{13}+\cdots\)
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