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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
729.2.a.a 729.a 1.a $6$ $5.821$ 6.6.1397493.1 None 27.2.e.a \(-3\) \(0\) \(-6\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+(-\beta _{1}-\beta _{5})q^{2}+(\beta _{1}-\beta _{2}-\beta _{3})q^{4}+\cdots\)
729.2.a.c 729.a 1.a $6$ $5.821$ \(\Q(\zeta_{36})^+\) None 729.2.a.c \(0\) \(0\) \(0\) \(-12\) $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+\beta _{2}q^{4}+(-\beta _{1}-\beta _{3})q^{5}+\cdots\)
  displayed columns for results