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Results (9 matches)

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Label Char Prim Dim $A$ Field CM RM Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
383.1.b.a 383.b 383.b $8$ $0.191$ \(\Q(\zeta_{34})^+\) \(\Q(\sqrt{-383}) \) None \(-1\) \(-1\) \(0\) \(-1\) \(q+\beta _{6}q^{2}+\beta _{4}q^{3}+(1-\beta _{5})q^{4}+(\beta _{2}+\cdots)q^{6}+\cdots\)
2681.1.f.a 2681.f 2681.f $2$ $1.338$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-383}) \) None \(-2\) \(1\) \(0\) \(2\) \(q-\zeta_{6}q^{2}-\zeta_{6}^{2}q^{3}+3\zeta_{6}^{2}q^{4}-2q^{6}+\cdots\)
2681.1.f.b 2681.f 2681.f $32$ $1.338$ \(\Q(\zeta_{51})\) \(\Q(\sqrt{-383}) \) None \(2\) \(-1\) \(0\) \(-2\) \(q+(-\zeta_{102}^{5}-\zeta_{102}^{29})q^{2}+(\zeta_{102}^{26}+\zeta_{102}^{42}+\cdots)q^{3}+\cdots\)
3064.1.e.b 3064.e 3064.e $1$ $1.529$ \(\Q\) \(\Q(\sqrt{-383}) \), \(\Q(\sqrt{-766}) \) \(\Q(\sqrt{2}) \) \(1\) \(0\) \(0\) \(-2\) \(q+q^{2}+q^{4}-2q^{7}+q^{8}+q^{9}-2q^{14}+\cdots\)
3064.1.e.g 3064.e 3064.e $16$ $1.529$ \(\Q(\zeta_{34})\) \(\Q(\sqrt{-383}) \) None \(-1\) \(0\) \(0\) \(2\) \(q-\zeta_{34}^{9}q^{2}+(\zeta_{34}^{6}+\zeta_{34}^{11})q^{3}-\zeta_{34}q^{4}+\cdots\)
3447.1.d.a 3447.d 383.b $8$ $1.720$ \(\Q(\zeta_{34})^+\) \(\Q(\sqrt{-383}) \) None \(1\) \(0\) \(0\) \(-1\) \(q-\beta _{2}q^{2}+(1+\beta _{4})q^{4}-\beta _{1}q^{7}+(-\beta _{2}+\cdots)q^{8}+\cdots\)
3447.1.f.a 3447.f 3447.f $2$ $1.720$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-383}) \) None \(-2\) \(-1\) \(0\) \(1\) \(q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{3}-3\zeta_{6}q^{4}+2q^{6}+\cdots\)
3447.1.f.b 3447.f 3447.f $32$ $1.720$ \(\Q(\zeta_{51})\) \(\Q(\sqrt{-383}) \) None \(2\) \(1\) \(0\) \(-1\) \(q+(-\zeta_{102}^{41}+\zeta_{102}^{44})q^{2}+\zeta_{102}^{16}q^{3}+\cdots\)
383.3.b.a 383.b 383.b $17$ $10.436$ \(\mathbb{Q}[x]/(x^{17} - \cdots)\) \(\Q(\sqrt{-383}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+\beta _{2}q^{2}-\beta _{6}q^{3}+(4+\beta _{4})q^{4}+(-\beta _{5}+\cdots)q^{6}+\cdots\)
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