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Results (11 matches)

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Label Char Prim Dim $A$ Field CM RM Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
359.1.b.a 359.b 359.b $9$ $0.179$ \(\Q(\zeta_{38})^+\) \(\Q(\sqrt{-359}) \) None \(-1\) \(-1\) \(-1\) \(0\) \(q+(-1+\beta _{1}-\beta _{2}+\beta _{3}-\beta _{4}+\beta _{5}+\cdots)q^{2}+\cdots\)
1795.1.c.a 1795.c 1795.c $1$ $0.896$ \(\Q\) \(\Q(\sqrt{-359}) \), \(\Q(\sqrt{-1795}) \) \(\Q(\sqrt{5}) \) \(0\) \(0\) \(1\) \(0\) \(q+q^{4}+q^{5}+q^{9}-2q^{11}+q^{16}+q^{20}+\cdots\)
1795.1.c.c 1795.c 1795.c $18$ $0.896$ \(\Q(\zeta_{38})\) \(\Q(\sqrt{-359}) \) None \(0\) \(0\) \(-1\) \(0\) \(q+(-\zeta_{38}^{3}-\zeta_{38}^{16})q^{2}+(-\zeta_{38}^{4}+\cdots)q^{3}+\cdots\)
2872.1.b.a 2872.b 2872.b $1$ $1.433$ \(\Q\) \(\Q(\sqrt{-359}) \), \(\Q(\sqrt{-718}) \) \(\Q(\sqrt{2}) \) \(-1\) \(0\) \(0\) \(0\) \(q-q^{2}+q^{4}-q^{8}+q^{9}+q^{16}-2q^{17}+\cdots\)
2872.1.b.e 2872.b 2872.b $18$ $1.433$ \(\Q(\zeta_{38})\) \(\Q(\sqrt{-359}) \) None \(1\) \(0\) \(0\) \(0\) \(q+\zeta_{38}^{13}q^{2}+(-\zeta_{38}^{8}-\zeta_{38}^{11})q^{3}+\cdots\)
3231.1.d.a 3231.d 359.b $9$ $1.612$ \(\Q(\zeta_{38})^+\) \(\Q(\sqrt{-359}) \) None \(1\) \(0\) \(1\) \(0\) \(q+(1-\beta _{1}+\beta _{2}-\beta _{3}+\beta _{4}-\beta _{5}+\beta _{6}+\cdots)q^{2}+\cdots\)
3231.1.f.a 3231.f 3231.f $2$ $1.612$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-359}) \) None \(1\) \(-1\) \(1\) \(0\) \(q+\zeta_{6}q^{2}-\zeta_{6}q^{3}-\zeta_{6}^{2}q^{5}-\zeta_{6}^{2}q^{6}+\cdots\)
3231.1.f.c 3231.f 3231.f $36$ $1.612$ \(\Q(\zeta_{57})\) \(\Q(\sqrt{-359}) \) None \(-1\) \(1\) \(-1\) \(0\) \(q+(\zeta_{114}^{30}+\zeta_{114}^{46})q^{2}-\zeta_{114}^{17}q^{3}+\cdots\)
3949.1.f.a 3949.f 3949.f $4$ $1.971$ \(\Q(\zeta_{10})\) \(\Q(\sqrt{-359}) \) None \(-2\) \(-2\) \(3\) \(0\) \(q+\zeta_{10}^{4}q^{2}+(-\zeta_{10}-\zeta_{10}^{3})q^{3}-3\zeta_{10}^{3}q^{4}+\cdots\)
3949.1.f.b 3949.f 3949.f $72$ $1.971$ \(\Q(\zeta_{95})\) \(\Q(\sqrt{-359}) \) None \(2\) \(2\) \(-3\) \(0\) \(q+(\zeta_{190}^{44}-\zeta_{190}^{89})q^{2}+(\zeta_{190}^{8}-\zeta_{190}^{11}+\cdots)q^{3}+\cdots\)
359.3.b.a 359.b 359.b $19$ $9.782$ \(\mathbb{Q}[x]/(x^{19} - \cdots)\) \(\Q(\sqrt{-359}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+\beta _{2}q^{2}+\beta _{7}q^{3}+(4+\beta _{4})q^{4}+(\beta _{3}+\cdots)q^{5}+\cdots\)
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