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Results (8 matches)
Download displayed columns for resultsLabel | Dim | $A$ | Field | CM | RM | Traces | Fricke sign | $q$-expansion | |||
---|---|---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | ||||||||
1999.1.b.a | $1$ | $0.998$ | \(\Q\) | \(\Q(\sqrt{-1999}) \) | None | \(2\) | \(0\) | \(-1\) | \(0\) | \(q+2q^{2}+3q^{4}-q^{5}+4q^{8}+q^{9}-2q^{10}+\cdots\) | |
1999.1.b.b | $3$ | $0.998$ | \(\Q(\zeta_{18})^+\) | \(\Q(\sqrt{-1999}) \) | None | \(-3\) | \(0\) | \(0\) | \(0\) | \(q-q^{2}-\beta _{1}q^{5}+q^{8}+q^{9}+\beta _{1}q^{10}+\cdots\) | |
1999.1.b.c | $9$ | $0.998$ | \(\Q(\zeta_{54})^+\) | \(\Q(\sqrt{-1999}) \) | None | \(0\) | \(0\) | \(0\) | \(0\) | \(q+(\beta _{3}-\beta _{6})q^{2}+(1-\beta _{3})q^{4}-\beta _{1}q^{5}+\cdots\) | |
1999.2.a.a | $2$ | $15.962$ | \(\Q(\sqrt{13}) \) | None | None | \(-1\) | \(2\) | \(0\) | \(-2\) | $-$ | \(q-\beta q^{2}+q^{3}+(1+\beta )q^{4}-\beta q^{6}-q^{7}+\cdots\) |
1999.2.a.b | $70$ | $15.962$ | None | None | \(-9\) | \(-15\) | \(-36\) | \(-10\) | $+$ | ||
1999.2.a.c | $94$ | $15.962$ | None | None | \(9\) | \(13\) | \(38\) | \(4\) | $-$ | ||
1999.4.a.a | $236$ | $117.945$ | None | None | \(-20\) | \(-52\) | \(-197\) | \(-70\) | $-$ | ||
1999.4.a.b | $263$ | $117.945$ | None | None | \(20\) | \(50\) | \(203\) | \(70\) | $+$ |