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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
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 7
98.10.a.a 98.a 1.a $1$ $50.474$ \(\Q\) None \(-16\) \(6\) \(-560\) \(0\) $+$ $-$ $\mathrm{SU}(2)$ \(q-2^{4}q^{2}+6q^{3}+2^{8}q^{4}-560q^{5}+\cdots\)
98.10.a.d 98.a 1.a $2$ $50.474$ \(\Q(\sqrt{43}) \) None \(-32\) \(0\) \(0\) \(0\) $+$ $-$ $\mathrm{SU}(2)$ \(q-2^{4}q^{2}+\beta q^{3}+2^{8}q^{4}+35\beta q^{5}+\cdots\)
98.10.a.e 98.a 1.a $2$ $50.474$ \(\Q(\sqrt{2305}) \) None \(-32\) \(14\) \(2730\) \(0\) $+$ $-$ $\mathrm{SU}(2)$ \(q-2^{4}q^{2}+(7+5\beta )q^{3}+2^{8}q^{4}+(1365+\cdots)q^{5}+\cdots\)
98.10.a.h 98.a 1.a $3$ $50.474$ \(\mathbb{Q}[x]/(x^{3} - \cdots)\) None \(-48\) \(71\) \(-1085\) \(0\) $+$ $-$ $\mathrm{SU}(2)$ \(q-2^{4}q^{2}+(24+\beta _{1})q^{3}+2^{8}q^{4}+(-363+\cdots)q^{5}+\cdots\)
98.10.a.j 98.a 1.a $3$ $50.474$ \(\mathbb{Q}[x]/(x^{3} - \cdots)\) None \(48\) \(233\) \(733\) \(0\) $-$ $+$ $\mathrm{SU}(2)$ \(q+2^{4}q^{2}+(78+\beta _{1})q^{3}+2^{8}q^{4}+(246+\cdots)q^{5}+\cdots\)
98.10.a.l 98.a 1.a $6$ $50.474$ \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None \(96\) \(0\) \(0\) \(0\) $-$ $+$ $\mathrm{SU}(2)$ \(q+2^{4}q^{2}+(\beta _{2}+\beta _{3})q^{3}+2^{8}q^{4}+(-2\beta _{2}+\cdots)q^{5}+\cdots\)
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