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Results (5 matches)
Download displayed columns for resultsLabel | Dim | $A$ | Field | Image | CM | RM | Traces | $q$-expansion | |||
---|---|---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | ||||||||
791.1.d.a | $1$ | $0.395$ | \(\Q\) | $D_{2}$ | \(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-791}) \) | \(\Q(\sqrt{113}) \) | \(-2\) | \(0\) | \(0\) | \(1\) | \(q-2q^{2}+3q^{4}+q^{7}-4q^{8}-q^{9}+2q^{11}+\cdots\) |
791.1.d.b | $2$ | $0.395$ | \(\Q(\sqrt{2}) \) | $D_{4}$ | \(\Q(\sqrt{-791}) \) | None | \(0\) | \(0\) | \(0\) | \(2\) | \(q-\beta q^{3}-q^{4}-\beta q^{5}+q^{7}+q^{9}-2q^{11}+\cdots\) |
791.1.d.c | $4$ | $0.395$ | \(\Q(\zeta_{16})^+\) | $D_{8}$ | \(\Q(\sqrt{-791}) \) | None | \(0\) | \(0\) | \(0\) | \(4\) | \(q-\beta _{2}q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{1}q^{5}+(\beta _{1}+\cdots)q^{6}+\cdots\) |
791.1.d.d | $8$ | $0.395$ | \(\Q(\zeta_{32})^+\) | $D_{16}$ | \(\Q(\sqrt{-791}) \) | None | \(0\) | \(0\) | \(0\) | \(-8\) | \(q+\beta _{2}q^{2}+\beta _{5}q^{3}+(1+\beta _{4})q^{4}-\beta _{3}q^{5}+\cdots\) |
3955.1.c.e | $32$ | $1.974$ | \(\Q(\zeta_{64})\) | $D_{32}$ | \(\Q(\sqrt{-791}) \) | None | \(0\) | \(0\) | \(0\) | \(0\) | \(q+(\zeta_{64}^{6}+\zeta_{64}^{26})q^{2}+(-\zeta_{64}-\zeta_{64}^{31}+\cdots)q^{3}+\cdots\) |