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Label Char Prim Dim $A$ Field CM Minimal twist Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 5 11
275.4.a.g 275.a 1.a $5$ $16.226$ \(\mathbb{Q}[x]/(x^{5} - \cdots)\) None 275.4.a.g \(-2\) \(0\) \(0\) \(-40\) $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(\beta _{1}+\beta _{4})q^{3}+(8+\beta _{2}+\beta _{3}+\cdots)q^{4}+\cdots\)
275.4.a.j 275.a 1.a $6$ $16.226$ 6.6.2301792529.1 None 55.4.b.a \(0\) \(0\) \(0\) \(0\) $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(-\beta _{1}-\beta _{5})q^{3}+(-1+\beta _{2}+\cdots)q^{4}+\cdots\)
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