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Results (4 matches)
Download displayed columns for resultsLabel | Dim | $A$ | Field | Image | CM | RM | Traces | $q$-expansion | |||
---|---|---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | ||||||||
3419.1.c.a | $1$ | $1.706$ | \(\Q\) | $D_{2}$ | \(\Q(\sqrt{-263}) \), \(\Q(\sqrt{-3419}) \) | \(\Q(\sqrt{13}) \) | \(0\) | \(2\) | \(0\) | \(0\) | \(q+2q^{3}+q^{4}+3q^{9}+2q^{12}-q^{13}+\cdots\) |
3419.1.c.b | $3$ | $1.706$ | \(\Q(\zeta_{14})^+\) | $D_{7}$ | \(\Q(\sqrt{-3419}) \) | None | \(0\) | \(-1\) | \(-1\) | \(-1\) | \(q-\beta _{1}q^{3}+q^{4}-\beta _{1}q^{5}+(-1+\beta _{1}+\cdots)q^{7}+\cdots\) |
3419.1.c.c | $3$ | $1.706$ | \(\Q(\zeta_{14})^+\) | $D_{7}$ | \(\Q(\sqrt{-3419}) \) | None | \(0\) | \(-1\) | \(1\) | \(1\) | \(q-\beta _{1}q^{3}+q^{4}+\beta _{1}q^{5}+(1-\beta _{1}+\beta _{2})q^{7}+\cdots\) |
3419.1.c.d | $6$ | $1.706$ | \(\Q(\zeta_{28})^+\) | $D_{14}$ | \(\Q(\sqrt{-3419}) \) | None | \(0\) | \(-2\) | \(0\) | \(0\) | \(q-\beta _{4}q^{3}+q^{4}-\beta _{1}q^{5}-\beta _{3}q^{7}+(1+\cdots)q^{9}+\cdots\) |