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

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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 11
847.6.a.c 847.a 1.a $2$ $135.845$ \(\Q(\sqrt{57}) \) None \(-9\) \(-6\) \(-18\) \(-98\) $+$ $-$ $\mathrm{SU}(2)$ \(q+(-4-\beta )q^{2}-6\beta q^{3}+(-2+9\beta )q^{4}+\cdots\)
847.6.a.d 847.a 1.a $4$ $135.845$ \(\mathbb{Q}[x]/(x^{4} - \cdots)\) None \(8\) \(-43\) \(57\) \(-196\) $+$ $-$ $\mathrm{SU}(2)$ \(q+(2-\beta _{1})q^{2}+(-11+\beta _{1}+\beta _{3})q^{3}+\cdots\)
847.6.a.g 847.a 1.a $8$ $135.845$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-4\) \(42\) \(50\) \(-392\) $+$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+(6-\beta _{1}+\beta _{3})q^{3}+\cdots\)
847.6.a.j 847.a 1.a $12$ $135.845$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(4\) \(-1\) \(-10\) \(-588\) $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(\beta _{1}+\beta _{3})q^{3}+(15+\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
847.6.a.k 847.a 1.a $12$ $135.845$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(12\) \(-1\) \(52\) \(-588\) $+$ $-$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{2}+\beta _{3}q^{3}+(2^{4}-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
847.6.a.m 847.a 1.a $13$ $135.845$ \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None \(8\) \(-1\) \(-69\) \(637\) $-$ $+$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{2}+(\beta _{1}+\beta _{5})q^{3}+(19-\beta _{1}+\cdots)q^{4}+\cdots\)
847.6.a.o 847.a 1.a $26$ $135.845$ None \(16\) \(-2\) \(156\) \(1274\) $-$ $+$ $\mathrm{SU}(2)$
847.6.a.r 847.a 1.a $32$ $135.845$ None \(-3\) \(54\) \(142\) \(-1568\) $+$ $-$ $\mathrm{SU}(2)$
847.6.a.s 847.a 1.a $32$ $135.845$ None \(3\) \(54\) \(142\) \(1568\) $-$ $+$ $\mathrm{SU}(2)$
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