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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
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 19
1216.4.a.a 1216.a 1.a $1$ $71.746$ \(\Q\) None \(0\) \(-5\) \(12\) \(-11\) $-$ $-$ $\mathrm{SU}(2)$ \(q-5q^{3}+12q^{5}-11q^{7}-2q^{9}-54q^{11}+\cdots\)
1216.4.a.b 1216.a 1.a $1$ $71.746$ \(\Q\) None \(0\) \(-2\) \(9\) \(31\) $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{3}+9q^{5}+31q^{7}-23q^{9}+57q^{11}+\cdots\)
1216.4.a.p 1216.a 1.a $2$ $71.746$ \(\Q(\sqrt{73}) \) None \(0\) \(9\) \(9\) \(18\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(5-\beta )q^{3}+(6-3\beta )q^{5}+(11-4\beta )q^{7}+\cdots\)
1216.4.a.q 1216.a 1.a $3$ $71.746$ 3.3.3221.1 None \(0\) \(-5\) \(-2\) \(35\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(-2-\beta _{2})q^{3}+(-1+\beta _{1}-2\beta _{2})q^{5}+\cdots\)
1216.4.a.v 1216.a 1.a $3$ $71.746$ 3.3.35529.1 None \(0\) \(1\) \(-9\) \(-44\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(\beta _{1}+\beta _{2})q^{3}+(-3-\beta _{2})q^{5}+(-15+\cdots)q^{7}+\cdots\)
1216.4.a.bb 1216.a 1.a $5$ $71.746$ \(\mathbb{Q}[x]/(x^{5} - \cdots)\) None \(0\) \(2\) \(0\) \(-22\) $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{2}q^{3}+(-\beta _{1}-\beta _{2})q^{5}+(-4-\beta _{2}+\cdots)q^{7}+\cdots\)
1216.4.a.bf 1216.a 1.a $7$ $71.746$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(0\) \(-3\) \(17\) \(42\) $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}+(2+\beta _{3})q^{5}+(6-\beta _{2}+\beta _{5}+\cdots)q^{7}+\cdots\)
1216.4.a.bh 1216.a 1.a $7$ $71.746$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(0\) \(9\) \(5\) \(-28\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(1+\beta _{1})q^{3}+(1-\beta _{5})q^{5}+(-4-\beta _{3}+\cdots)q^{7}+\cdots\)
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