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Results (5 matches)
Download displayed columns for resultsLabel | Dim | $A$ | Field | Image | CM | RM | Traces | $q$-expansion | |||
---|---|---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | ||||||||
2063.1.b.a | $1$ | $1.030$ | \(\Q\) | $D_{3}$ | \(\Q(\sqrt{-2063}) \) | None | \(-1\) | \(2\) | \(0\) | \(-1\) | \(q-q^{2}+2q^{3}-2q^{6}-q^{7}+q^{8}+3q^{9}+\cdots\) |
2063.1.b.b | $2$ | $1.030$ | \(\Q(\sqrt{5}) \) | $D_{5}$ | \(\Q(\sqrt{-2063}) \) | None | \(-1\) | \(-1\) | \(0\) | \(-1\) | \(q+(-1+\beta )q^{2}-\beta q^{3}+(1-\beta )q^{4}-q^{6}+\cdots\) |
2063.1.b.c | $3$ | $1.030$ | \(\Q(\zeta_{18})^+\) | $D_{9}$ | \(\Q(\sqrt{-2063}) \) | None | \(0\) | \(-3\) | \(0\) | \(0\) | \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots\) |
2063.1.b.d | $4$ | $1.030$ | \(\Q(\zeta_{15})^+\) | $D_{15}$ | \(\Q(\sqrt{-2063}) \) | None | \(1\) | \(-2\) | \(0\) | \(1\) | \(q+\beta _{1}q^{2}+\beta _{3}q^{3}+(1+\beta _{2})q^{4}+(1-\beta _{1}+\cdots)q^{6}+\cdots\) |
2063.1.b.e | $12$ | $1.030$ | \(\Q(\zeta_{45})^+\) | $D_{45}$ | \(\Q(\sqrt{-2063}) \) | None | \(0\) | \(3\) | \(0\) | \(0\) | \(q+\beta _{7}q^{2}+\beta _{6}q^{3}+(1+\beta _{11})q^{4}+(\beta _{1}+\cdots)q^{6}+\cdots\) |