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Results (4 matches)
Download displayed columns for resultsLabel | Dim | $A$ | Field | Image | CM | RM | Traces | $q$-expansion | |||
---|---|---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | ||||||||
2271.1.d.a | $1$ | $1.133$ | \(\Q\) | $D_{2}$ | \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-2271}) \) | \(\Q(\sqrt{757}) \) | \(0\) | \(-1\) | \(0\) | \(2\) | \(q-q^{3}-q^{4}+2q^{7}+q^{9}+q^{12}-2q^{13}+\cdots\) |
2271.1.d.b | $5$ | $1.133$ | \(\Q(\zeta_{22})^+\) | $D_{11}$ | \(\Q(\sqrt{-2271}) \) | None | \(-1\) | \(5\) | \(-1\) | \(-1\) | \(q+\beta _{4}q^{2}+q^{3}+(1-\beta _{3})q^{4}+(-1+\beta _{1}+\cdots)q^{5}+\cdots\) |
2271.1.d.c | $5$ | $1.133$ | \(\Q(\zeta_{22})^+\) | $D_{11}$ | \(\Q(\sqrt{-2271}) \) | None | \(1\) | \(5\) | \(1\) | \(-1\) | \(q+(1-\beta _{1}+\beta _{2}-\beta _{3}+\beta _{4})q^{2}+q^{3}+\cdots\) |
2271.1.d.d | $10$ | $1.133$ | \(\Q(\zeta_{44})^+\) | $D_{22}$ | \(\Q(\sqrt{-2271}) \) | None | \(0\) | \(-10\) | \(0\) | \(-2\) | \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-\beta _{7}q^{5}+\cdots\) |