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Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (110727 objects)

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Label Char Prim Dim $A$ Field CM Minimal twist Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 5 31
310.2.a.a 310.a 1.a $1$ $2.475$ \(\Q\) None 310.2.a.a \(1\) \(-2\) \(-1\) \(-4\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-2q^{3}+q^{4}-q^{5}-2q^{6}-4q^{7}+\cdots\)
310.2.a.c 310.a 1.a $2$ $2.475$ \(\Q(\sqrt{3}) \) None 310.2.a.c \(-2\) \(-2\) \(-2\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+(-1+\beta )q^{3}+q^{4}-q^{5}+(1+\cdots)q^{6}+\cdots\)
  displayed columns for results