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Label | Dim | $A$ | Field | CM | RM | Traces | Fricke sign | $q$-expansion | |||
---|---|---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | ||||||||
1441.1.u.a | $20$ | $0.719$ | \(\Q(\zeta_{50})\) | \(\Q(\sqrt{-131}) \) | None | \(0\) | \(0\) | \(0\) | \(0\) | \(q+(-\zeta_{50}^{9}-\zeta_{50}^{21})q^{3}+\zeta_{50}^{10}q^{4}+\cdots\) | |
1441.2.a.a | $1$ | $11.506$ | \(\Q\) | None | None | \(0\) | \(-1\) | \(1\) | \(2\) | $+$ | \(q-q^{3}-2q^{4}+q^{5}+2q^{7}-2q^{9}-q^{11}+\cdots\) |
1441.2.a.b | $1$ | $11.506$ | \(\Q\) | None | None | \(2\) | \(3\) | \(-2\) | \(3\) | $-$ | \(q+2q^{2}+3q^{3}+2q^{4}-2q^{5}+6q^{6}+\cdots\) |
1441.2.a.c | $23$ | $11.506$ | None | None | \(-7\) | \(-3\) | \(-9\) | \(-12\) | $+$ | ||
1441.2.a.d | $23$ | $11.506$ | None | None | \(-7\) | \(-3\) | \(-9\) | \(-8\) | $+$ | ||
1441.2.a.e | $28$ | $11.506$ | None | None | \(7\) | \(-2\) | \(3\) | \(7\) | $-$ | ||
1441.2.a.f | $31$ | $11.506$ | None | None | \(6\) | \(4\) | \(8\) | \(4\) | $-$ | ||
1441.4.a.a | $77$ | $85.022$ | None | None | \(-14\) | \(-10\) | \(-42\) | \(-59\) | $-$ | ||
1441.4.a.b | $79$ | $85.022$ | None | None | \(-20\) | \(-12\) | \(-40\) | \(-101\) | $-$ | ||
1441.4.a.c | $84$ | $85.022$ | None | None | \(12\) | \(14\) | \(38\) | \(11\) | $+$ | ||
1441.4.a.d | $86$ | $85.022$ | None | None | \(18\) | \(12\) | \(40\) | \(109\) | $+$ |