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

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Results (8 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
847.2.a.a 847.a 1.a $1$ $6.763$ \(\Q\) None \(-1\) \(2\) \(-2\) \(1\) $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+2q^{3}-q^{4}-2q^{5}-2q^{6}+q^{7}+\cdots\)
847.2.a.b 847.a 1.a $1$ $6.763$ \(\Q\) None \(0\) \(-3\) \(-1\) \(1\) $-$ $-$ $\mathrm{SU}(2)$ \(q-3q^{3}-2q^{4}-q^{5}+q^{7}+6q^{9}+6q^{12}+\cdots\)
847.2.a.d 847.a 1.a $2$ $6.763$ \(\Q(\sqrt{5}) \) None \(-3\) \(-1\) \(2\) \(2\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta )q^{2}+(-1+\beta )q^{3}+3\beta q^{4}+\cdots\)
847.2.a.e 847.a 1.a $2$ $6.763$ \(\Q(\sqrt{13}) \) None \(-1\) \(-1\) \(0\) \(2\) $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta q^{2}-\beta q^{3}+(1+\beta )q^{4}+(-1+2\beta )q^{5}+\cdots\)
847.2.a.i 847.a 1.a $3$ $6.763$ 3.3.568.1 None \(-2\) \(-1\) \(1\) \(-3\) $+$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}-\beta _{1}q^{3}+(3+\beta _{2})q^{4}+\cdots\)
847.2.a.k 847.a 1.a $4$ $6.763$ 4.4.2525.1 None \(-2\) \(-2\) \(-6\) \(4\) $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(-1-\beta _{2})q^{3}+(1+\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
847.2.a.l 847.a 1.a $4$ $6.763$ 4.4.2525.1 None \(2\) \(-2\) \(-6\) \(-4\) $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(-1-\beta _{2})q^{3}+(1+\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
847.2.a.m 847.a 1.a $6$ $6.763$ 6.6.7674048.1 None \(-4\) \(-2\) \(-4\) \(-6\) $+$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+\beta _{5}q^{3}+(1-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
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