Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (110727 objects)
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Label | Dim | $A$ | Field | CM | Traces | A-L signs | $q$-expansion | ||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | 2 | 5 | 19 | |||||||
1900.2.a.a | $1$ | $15.172$ | \(\Q\) | None | \(0\) | \(-2\) | \(0\) | \(-2\) | $-$ | $+$ | $+$ | \(q-2q^{3}-2q^{7}+q^{9}-6q^{13}-2q^{17}+\cdots\) | |
1900.2.a.b | $1$ | $15.172$ | \(\Q\) | None | \(0\) | \(-2\) | \(0\) | \(3\) | $-$ | $+$ | $+$ | \(q-2q^{3}+3q^{7}+q^{9}+5q^{11}+4q^{13}+\cdots\) | |
1900.2.a.e | $2$ | $15.172$ | \(\Q(\sqrt{2}) \) | None | \(0\) | \(4\) | \(0\) | \(4\) | $-$ | $+$ | $+$ | \(q+(2+\beta )q^{3}+(2-2\beta )q^{7}+(3+4\beta )q^{9}+\cdots\) | |
1900.2.a.h | $3$ | $15.172$ | 3.3.257.1 | None | \(0\) | \(2\) | \(0\) | \(2\) | $-$ | $+$ | $+$ | \(q+(1-\beta _{1})q^{3}+(1-\beta _{1})q^{7}+(1-2\beta _{1}+\cdots)q^{9}+\cdots\) | |
1900.2.a.i | $3$ | $15.172$ | 3.3.321.1 | None | \(0\) | \(2\) | \(0\) | \(2\) | $-$ | $-$ | $-$ | \(q+(1+\beta _{2})q^{3}+(1-2\beta _{1}-\beta _{2})q^{7}+(2+\cdots)q^{9}+\cdots\) | |
1900.2.a.k | $6$ | $15.172$ | 6.6.56310016.1 | None | \(0\) | \(0\) | \(0\) | \(0\) | $-$ | $-$ | $-$ | \(q+\beta _{3}q^{3}-\beta _{4}q^{7}+(2-\beta _{1}+\beta _{5})q^{9}+\cdots\) |