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Results (10 matches)

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Label Char Prim Dim $A$ Field CM RM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
983.1.b.a 983.b 983.b $1$ $0.491$ \(\Q\) \(\Q(\sqrt{-983}) \) None \(-1\) \(-1\) \(0\) \(-1\) \(q-q^{2}-q^{3}+q^{6}-q^{7}+q^{8}+q^{14}+\cdots\)
983.1.b.b 983.b 983.b $3$ $0.491$ \(\Q(\zeta_{18})^+\) \(\Q(\sqrt{-983}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{1}q^{2}+\beta _{2}q^{3}+(1+\beta _{2})q^{4}+(-1+\cdots)q^{6}+\cdots\)
983.1.b.c 983.b 983.b $9$ $0.491$ \(\Q(\zeta_{54})^+\) \(\Q(\sqrt{-983}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{1}q^{2}+(-\beta _{2}+\beta _{7})q^{3}+(1+\beta _{2}+\cdots)q^{4}+\cdots\)
983.2.a.a 983.a 1.a $28$ $7.849$ None None \(-7\) \(-6\) \(-7\) \(-25\) $+$ $\mathrm{SU}(2)$
983.2.a.b 983.a 1.a $54$ $7.849$ None None \(8\) \(6\) \(7\) \(31\) $-$ $\mathrm{SU}(2)$
983.2.c.a 983.c 983.c $39690$ $7.849$ None None \(-489\) \(-487\) \(-485\) \(-489\) $\mathrm{SU}(2)[C_{491}]$
983.4.a.a 983.a 1.a $109$ $57.999$ None None \(-19\) \(-23\) \(-50\) \(-225\) $-$ $\mathrm{SU}(2)$
983.4.a.b 983.a 1.a $136$ $57.999$ None None \(17\) \(25\) \(50\) \(223\) $+$ $\mathrm{SU}(2)$
983.6.a.a 983.a 1.a $191$ $157.657$ None None \(-37\) \(-74\) \(-247\) \(-1569\) $+$ $\mathrm{SU}(2)$
983.6.a.b 983.a 1.a $218$ $157.657$ None None \(35\) \(70\) \(253\) \(1567\) $-$ $\mathrm{SU}(2)$
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