1
New Number: 4.61 | AESZ: 289 | Superseeker: 8224 15542388128 | Hash: 673413653f5554d4f0cc1a8af33e8bbe
Degree: 4
\(\theta^4-2^{4} x\left(400\theta^4+2720\theta^3+1752\theta^2+392\theta+33\right)-2^{15} x^{2}\left(4272\theta^4+6288\theta^3-3184\theta^2-1484\theta-177\right)-2^{24} 5 x^{3}\left(4688\theta^4-1536\theta^3-1384\theta^2-336\theta-27\right)+2^{36} 5^{2} x^{4}(4\theta+1)(2\theta+1)^2(4\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 528, 2434320, 18496262400, 174225386134800, ... --> OEIS Normalized instanton numbers (n0=1): 8224, 3407456, 15542388128, 54609260446560, 282477571639256928, ... ; Common denominator:...
\((16384z-1)(256z-1)(1+5120z)^2\)
| \(-\frac{ 1}{ 5120}\) | \(0\) | \(\frac{ 1}{ 16384}\) | \(\frac{ 1}{ 256}\) | \(\infty\) |
|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 4}\) |
| \(1\) | \(0\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(3\) | \(0\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(4\) | \(0\) | \(2\) | \(2\) | \(\frac{ 3}{ 4}\) |
2
New Number: 5.73 | AESZ: 293 | Superseeker: 20 13188 | Hash: f19eeaee48396d15d7cf7be47d7d48a7
Degree: 5
\(\theta^4-2^{2} x\left(54\theta^4+66\theta^3+49\theta^2+16\theta+2\right)+2^{4} x^{2}\left(417\theta^4-306\theta^3-1219\theta^2-776\theta-154\right)+2^{8} x^{3}\left(166\theta^4+1920\theta^3+1589\theta^2+432\theta+23\right)-2^{12} 7 x^{4}(2\theta+1)(38\theta^3+45\theta^2+12\theta-2)-2^{14} 7^{2} x^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 8, 528, 45440, 4763920, ... --> OEIS Normalized instanton numbers (n0=1): 20, 867/2, 13188, 609734, 35512476, ... ; Common denominator:...
\(-(16z+1)(256z^2+176z-1)(-1+28z)^2\)
| \(-\frac{ 11}{ 32}-\frac{ 5}{ 32}\sqrt{ 5}\) | \(-\frac{ 1}{ 16}\) | \(0\) | \(-\frac{ 11}{ 32}+\frac{ 5}{ 32}\sqrt{ 5}\) | \(\frac{ 1}{ 28}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(3\) | \(1\) |
| \(2\) | \(2\) | \(0\) | \(2\) | \(4\) | \(\frac{ 3}{ 2}\) |