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Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (110727 objects)

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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
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 7 23
1127.2.a.b 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.c 1127.a 1.a $2$ $8.999$ \(\Q(\sqrt{5}) \) None \(-1\) \(0\) \(2\) \(0\) $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta q^{2}+(1-2\beta )q^{3}+(-1+\beta )q^{4}+\cdots\)
1127.2.a.f 1127.a 1.a $3$ $8.999$ 3.3.148.1 None \(-1\) \(-2\) \(-2\) \(0\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(-\beta _{1}-\beta _{2})q^{2}+(-1+\beta _{1})q^{3}+(1+\cdots)q^{4}+\cdots\)
1127.2.a.i 1127.a 1.a $6$ $8.999$ 6.6.2803712.1 None \(-2\) \(0\) \(0\) \(0\) $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{3}q^{2}+\beta _{1}q^{3}+(-\beta _{2}-\beta _{3})q^{4}+\cdots\)
1127.2.a.k 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.l 1127.a 1.a $7$ $8.999$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(0\) \(-3\) \(-4\) \(0\) $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}-\beta _{6}q^{3}+(1+\beta _{1}+\beta _{3}+\beta _{5}+\cdots)q^{4}+\cdots\)
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