1
New Number: 4.47 | AESZ: 239 | Superseeker: 1584 171534960 | Hash: 8e610c3437d7f38e552038bc55399495
Degree: 4
\(\theta^4+2^{4} 3 x\left(9\theta^4-198\theta^3-131\theta^2-32\theta-3\right)-2^{11} 3^{2} x^{2}\left(486\theta^4+1215\theta^3+81\theta^2-27\theta-5\right)-2^{16} 3^{5} x^{3}\left(891\theta^4+972\theta^3+675\theta^2+216\theta+25\right)-2^{23} 3^{8} x^{4}(3\theta+1)^2(3\theta+2)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, 144, 147600, 239904000, 479672701200, ... --> OEIS Normalized instanton numbers (n0=1): 1584, -17874, 171534960, 30012731550, 105934107802896, ... ; Common denominator:...
\(-(432z+1)(3456z-1)(1+1728z)^2\)
| \(-\frac{ 1}{ 432}\) | \(-\frac{ 1}{ 1728}\) | \(0\) | \(\frac{ 1}{ 3456}\) | \(\infty\) |
|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 3}\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(\frac{ 1}{ 3}\) |
| \(1\) | \(3\) | \(0\) | \(1\) | \(\frac{ 2}{ 3}\) |
| \(2\) | \(4\) | \(0\) | \(2\) | \(\frac{ 2}{ 3}\) |
2
New Number: 5.3 | AESZ: 20 | Superseeker: 3 245/3 | Hash: a9a698dc5c79ffda497a7897390408b0
Degree: 5
\(\theta^4-3 x\left(48\theta^4+60\theta^3+53\theta^2+23\theta+4\right)+3^{2} x^{2}\left(873\theta^4+1980\theta^3+2319\theta^2+1344\theta+304\right)-2 3^{4} x^{3}\left(1269\theta^4+3888\theta^3+5259\theta^2+3348\theta+800\right)+2^{2} 3^{6} x^{4}\left(891\theta^4+3240\theta^3+4653\theta^2+2952\theta+688\right)-2^{3} 3^{11} x^{5}(\theta+1)^2(3\theta+2)(3\theta+4)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 12, 252, 6600, 198540, ... --> OEIS Normalized instanton numbers (n0=1): 3, 33/2, 245/3, 879, 11829, ... ; Common denominator:...
\(-(54z-1)(27z-1)^2(18z-1)^2\)
| \(0\) | \(\frac{ 1}{ 54}\) | \(\frac{ 1}{ 27}\) | \(\frac{ 1}{ 18}\) | \(\infty\) |
|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 2}{ 3}\) |
| \(0\) | \(1\) | \(\frac{ 1}{ 3}\) | \(1\) | \(1\) |
| \(0\) | \(1\) | \(\frac{ 2}{ 3}\) | \(3\) | \(1\) |
| \(0\) | \(2\) | \(1\) | \(4\) | \(\frac{ 4}{ 3}\) |