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Results (5 matches)
Download displayed columns for resultsLabel | Dim | $A$ | Field | Image | CM | RM | Traces | $q$-expansion | |||
---|---|---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | ||||||||
2039.1.b.a | $1$ | $1.018$ | \(\Q\) | $D_{3}$ | \(\Q(\sqrt{-2039}) \) | None | \(-1\) | \(-1\) | \(-1\) | \(0\) | \(q-q^{2}-q^{3}-q^{5}+q^{6}+q^{8}+q^{10}+\cdots\) |
2039.1.b.b | $2$ | $1.018$ | \(\Q(\sqrt{5}) \) | $D_{5}$ | \(\Q(\sqrt{-2039}) \) | None | \(4\) | \(-1\) | \(-1\) | \(0\) | \(q+2q^{2}+(-1+\beta )q^{3}+3q^{4}-\beta q^{5}+\cdots\) |
2039.1.b.c | $3$ | $1.018$ | \(\Q(\zeta_{18})^+\) | $D_{9}$ | \(\Q(\sqrt{-2039}) \) | None | \(0\) | \(0\) | \(0\) | \(0\) | \(q+\beta _{2}q^{2}-\beta _{1}q^{3}+(1+\beta _{1}-\beta _{2})q^{4}+\cdots\) |
2039.1.b.d | $4$ | $1.018$ | \(\Q(\zeta_{15})^+\) | $D_{15}$ | \(\Q(\sqrt{-2039}) \) | None | \(-4\) | \(1\) | \(1\) | \(0\) | \(q-q^{2}+\beta _{1}q^{3}+(-\beta _{2}-\beta _{3})q^{5}-\beta _{1}q^{6}+\cdots\) |
2039.1.b.e | $12$ | $1.018$ | \(\Q(\zeta_{45})^+\) | $D_{45}$ | \(\Q(\sqrt{-2039}) \) | None | \(0\) | \(0\) | \(0\) | \(0\) | \(q+\beta _{5}q^{2}+\beta _{7}q^{3}+(1+\beta _{9})q^{4}+(\beta _{1}+\cdots)q^{5}+\cdots\) |