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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
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 7 23
1127.2.a.a 1127.a 1.a $1$ $8.999$ \(\Q\) None \(-1\) \(0\) \(-2\) \(0\) $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{4}-2q^{5}+3q^{8}-3q^{9}+2q^{10}+\cdots\)
1127.2.a.d 1127.a 1.a $2$ $8.999$ \(\Q(\sqrt{5}) \) None \(-1\) \(2\) \(2\) \(0\) $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta q^{2}+q^{3}+(-1+\beta )q^{4}+(2-2\beta )q^{5}+\cdots\)
1127.2.a.e 1127.a 1.a $2$ $8.999$ \(\Q(\sqrt{2}) \) None \(2\) \(0\) \(0\) \(0\) $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+\beta q^{3}-q^{4}+\beta q^{5}+\beta q^{6}-3q^{8}+\cdots\)
1127.2.a.g 1127.a 1.a $4$ $8.999$ \(\Q(\zeta_{24})^+\) None \(0\) \(0\) \(0\) \(0\) $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+\beta _{3}q^{3}+q^{4}+(\beta _{2}+\beta _{3})q^{5}+\cdots\)
1127.2.a.h 1127.a 1.a $5$ $8.999$ 5.5.2147108.1 None \(2\) \(0\) \(4\) \(0\) $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-\beta _{3}q^{3}+(2+\beta _{2})q^{4}+(1+\beta _{4})q^{5}+\cdots\)
1127.2.a.j 1127.a 1.a $6$ $8.999$ 6.6.89672832.1 None \(0\) \(0\) \(0\) \(0\) $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{2}q^{2}+\beta _{4}q^{3}+(2+\beta _{5})q^{4}+(-\beta _{3}+\cdots)q^{5}+\cdots\)
1127.2.a.m 1127.a 1.a $7$ $8.999$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(0\) \(3\) \(4\) \(0\) $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+\beta _{6}q^{3}+(1+\beta _{1}+\beta _{3}+\beta _{5}+\cdots)q^{4}+\cdots\)
1127.2.a.n 1127.a 1.a $7$ $8.999$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(0\) \(5\) \(4\) \(0\) $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(1+\beta _{4})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
1127.2.a.o 1127.a 1.a $14$ $8.999$ \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(6\) \(0\) \(0\) \(0\) $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{9}q^{2}+\beta _{1}q^{3}+(2+\beta _{7})q^{4}+\beta _{5}q^{5}+\cdots\)
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