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Label Char Prim Dim $A$ Field CM Minimal twist Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 3 7 11
1617.4.a.x 1617.a 1.a $10$ $95.406$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None 231.4.i.c \(-4\) \(30\) \(-20\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+3q^{3}+(2+\beta _{1}+\beta _{2})q^{4}+\cdots\)
1617.4.a.bd 1617.a 1.a $16$ $95.406$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None 1617.4.a.bc \(-4\) \(48\) \(0\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+3q^{3}+(5+\beta _{2})q^{4}+(\beta _{1}-\beta _{5}+\cdots)q^{5}+\cdots\)
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