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

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Results (4 matches)

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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 3 11
99.8.a.b 99.a 1.a $2$ $30.926$ \(\Q(\sqrt{97}) \) None \(-1\) \(0\) \(194\) \(-418\) $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta q^{2}+(90+\beta )q^{4}+(90+14\beta )q^{5}+\cdots\)
99.8.a.c 99.a 1.a $2$ $30.926$ \(\Q(\sqrt{15}) \) None \(8\) \(0\) \(470\) \(-1228\) $-$ $+$ $\mathrm{SU}(2)$ \(q+(4+\beta )q^{2}+(-52+8\beta )q^{4}+(235+\cdots)q^{5}+\cdots\)
99.8.a.f 99.a 1.a $4$ $30.926$ \(\mathbb{Q}[x]/(x^{4} - \cdots)\) None \(-15\) \(0\) \(-306\) \(890\) $-$ $+$ $\mathrm{SU}(2)$ \(q+(-4+\beta _{1})q^{2}+(142-2\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
99.8.a.h 99.a 1.a $5$ $30.926$ \(\mathbb{Q}[x]/(x^{5} - \cdots)\) None \(-8\) \(0\) \(-500\) \(446\) $+$ $-$ $\mathrm{SU}(2)$ \(q+(-2-\beta _{1})q^{2}+(35+4\beta _{1}-\beta _{3})q^{4}+\cdots\)
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