1
New Number: 2.63 | AESZ: 84 | Superseeker: -4 -44 | Hash: 908b978c0c447d3643c3018c40e7f5d1
Degree: 2
\(\theta^4-2^{2} x\left(32\theta^4+64\theta^3+63\theta^2+31\theta+6\right)+2^{8} x^{2}(4\theta+3)(\theta+1)^2(4\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 24, 936, 43008, 2145960, ... --> OEIS Normalized instanton numbers (n0=1): -4, -11, -44, -156, -288, ... ; Common denominator:...
\((64z-1)^2\)
| \(0\) | \(\frac{ 1}{ 64}\) | \(\infty\) |
|---|---|---|
| \(0\) | \(0\) | \(\frac{ 3}{ 4}\) |
| \(0\) | \(0\) | \(1\) |
| \(0\) | \(1\) | \(1\) |
| \(0\) | \(1\) | \(\frac{ 5}{ 4}\) |
2
New Number: 4.17 | AESZ: | Superseeker: -156 -1229332 | Hash: 245e2566c8da93abbfc4296923ccba12
Degree: 4
\(\theta^4-2^{2} 3 x\left(192\theta^4+384\theta^3+457\theta^2+265\theta+59\right)+2^{4} 3^{2} x^{2}\left(7680\theta^4+30720\theta^3+41040\theta^2+20640\theta+2203\right)+2^{12} 3^{4} x^{3}(192\theta^2+576\theta+571)(2\theta+3)^2+2^{18} 3^{6} x^{4}(2\theta+3)(2\theta+5)(4\theta+7)(4\theta+9)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 708, 700740, 738956400, 811309522500, ... --> OEIS Normalized instanton numbers (n0=1): -156, -12549, -1229332, -175559052, -27542017056, ... ; Common denominator:...
\((-1+1152z+110592z^2)^2\)
| \(-\frac{ 1}{ 192}-\frac{ 1}{ 288}\sqrt{ 3}\) | \(0\) | \(s_1\) | \(s_2\) | \(-\frac{ 1}{ 192}+\frac{ 1}{ 288}\sqrt{ 3}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(-\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 2}\) | \(0\) | \(\frac{ 3}{ 2}\) |
| \(-\frac{ 1}{ 2}\) | \(0\) | \(0\) | \(0\) | \(-\frac{ 1}{ 2}\) | \(\frac{ 7}{ 4}\) |
| \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(\frac{ 9}{ 4}\) |
| \(\frac{ 3}{ 2}\) | \(0\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 5}{ 2}\) |