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Results (8 matches)

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Label Char Prim Dim $A$ Field CM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
4.5.b.a 4.b 4.b $1$ $0.413$ \(\Q\) \(\Q(\sqrt{-1}) \) \(-4\) \(0\) \(-14\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q-4q^{2}+2^{4}q^{4}-14q^{5}-2^{6}q^{8}+3^{4}q^{9}+\cdots\)
4.6.a.a 4.a 1.a $1$ $0.642$ \(\Q\) None \(0\) \(-12\) \(54\) \(-88\) $-$ $\mathrm{SU}(2)$ \(q-12q^{3}+54q^{5}-88q^{7}-99q^{9}+\cdots\)
4.7.b.a 4.b 4.b $2$ $0.920$ \(\Q(\sqrt{-15}) \) None \(4\) \(0\) \(20\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+(2+\beta )q^{2}-4\beta q^{3}+(-56+4\beta )q^{4}+\cdots\)
4.9.b.a 4.b 4.b $1$ $1.630$ \(\Q\) \(\Q(\sqrt{-1}) \) \(16\) \(0\) \(-1054\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+2^{4}q^{2}+2^{8}q^{4}-1054q^{5}+2^{12}q^{8}+\cdots\)
4.9.b.b 4.b 4.b $2$ $1.630$ \(\Q(\sqrt{-39}) \) None \(-20\) \(0\) \(1220\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+(-10-\beta )q^{2}-8\beta q^{3}+(-56+20\beta )q^{4}+\cdots\)
4.10.a.a 4.a 1.a $1$ $2.060$ \(\Q\) None \(0\) \(228\) \(-666\) \(-6328\) $-$ $\mathrm{SU}(2)$ \(q+228q^{3}-666q^{5}-6328q^{7}+32301q^{9}+\cdots\)
4.11.b.a 4.b 4.b $4$ $2.541$ 4.0.26777625.2 None \(-12\) \(0\) \(-1560\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+(-3+\beta _{1})q^{2}+(-2\beta _{1}+\beta _{2})q^{3}+\cdots\)
4.12.a.a 4.a 1.a $1$ $3.073$ \(\Q\) None \(0\) \(-516\) \(-10530\) \(49304\) $-$ $\mathrm{SU}(2)$ \(q-516q^{3}-10530q^{5}+49304q^{7}+\cdots\)
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