1
New Number: 4.15 | AESZ: | Superseeker: -76 415420 | Hash: d8c866a60b2b4edb0c88e03315fa2a7b
Degree: 4
\(\theta^4-2^{2} x\left(448\theta^4+896\theta^3+1077\theta^2+629\theta+142\right)+2^{7} x^{2}\left(11456\theta^4+45824\theta^3+86434\theta^2+81220\theta+30693\right)-2^{12} 3^{4} x^{3}(448\theta^2+1344\theta+1343)(2\theta+3)^2+2^{18} 3^{8} x^{4}(2\theta+3)(2\theta+5)(4\theta+7)(4\theta+9)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 568, 207720, 25669504, -32774007128, ... --> OEIS Normalized instanton numbers (n0=1): -76, 2958, 415420, 17891650, -1211214176, ... ; Common denominator:...
\((331776z^2-896z+1)^2\)
| \(0\) | \(s_1\) | \(s_2\) | \(\frac{ 7}{ 5184}-\frac{ 1}{ 1296}\sqrt{ 2}I\) | \(\frac{ 7}{ 5184}+\frac{ 1}{ 1296}\sqrt{ 2}I\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(-\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 2}\) | \(0\) | \(0\) | \(\frac{ 3}{ 2}\) |
| \(0\) | \(0\) | \(0\) | \(-\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 2}\) | \(\frac{ 7}{ 4}\) |
| \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(\frac{ 9}{ 4}\) |
| \(0\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 5}{ 2}\) |
2
New Number: 4.2 | AESZ: ~44 | Superseeker: -76 -92996 | Hash: 79f5f70bb79e740c1cd7e835ff99a64c
Degree: 4
\(\theta^4-2^{2} x\left(272\theta^4+544\theta^3+649\theta^2+377\theta+84\right)+2^{6} 3 x^{2}\left(1544\theta^4+6176\theta^3+9307\theta^2+6262\theta+1588\right)-2^{8} x^{3}(272\theta^2+816\theta+819)(2\theta+3)^2+2^{14} x^{4}(\theta+2)^2(2\theta+3)(2\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 336, 142728, 65762368, 31568339880, ... --> OEIS Normalized instanton numbers (n0=1): -76, -2002, -92996, -5555506, -384650592, ... ; Common denominator:...
\((1-544z+256z^2)^2\)
| \(0\) | \(s_1\) | \(s_2\) | \(\frac{ 17}{ 16}-\frac{ 3}{ 4}\sqrt{ 2}\) | \(\frac{ 17}{ 16}+\frac{ 3}{ 4}\sqrt{ 2}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(-\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 2}\) | \(0\) | \(0\) | \(\frac{ 3}{ 2}\) |
| \(0\) | \(0\) | \(0\) | \(-\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 2}\) | \(2\) |
| \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(2\) |
| \(0\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 5}{ 2}\) |