1
New Number: 5.42 | AESZ: 231 | Superseeker: 460/3 894404/3 | Hash: 6f793238336123adfdcd7ee17d64e5ec
Degree: 5
\(3^{2} \theta^4-2^{2} 3 x\left(28\theta^4+1016\theta^3+739\theta^2+231\theta+30\right)-2^{9} x^{2}\left(1168\theta^4-968\theta^3-9518\theta^2-5325\theta-1005\right)+2^{16} x^{3}\left(988\theta^4+8208\theta^3-743\theta^2-4230\theta-1245\right)+2^{24} 5 x^{4}(2\theta+1)^2(9\theta^2-279\theta-277)-2^{33} 5^{2} x^{5}(2\theta+1)^2(2\theta+3)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, 40, 3240, 313600, 39327400, ... --> OEIS Normalized instanton numbers (n0=1): 460/3, -16828/3, 894404/3, -42271624/3, 2076730720/3, ... ; Common denominator:...
\(-(256z-1)(32768z^2-208z+1)(3+640z)^2\)
| \(-\frac{ 3}{ 640}\) | \(0\) | \(\frac{ 13}{ 4096}-\frac{ 7}{ 4096}\sqrt{ 7}I\) | \(\frac{ 13}{ 4096}+\frac{ 7}{ 4096}\sqrt{ 7}I\) | \(\frac{ 1}{ 256}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(3\) | \(0\) | \(1\) | \(1\) | \(1\) | \(\frac{ 3}{ 2}\) |
| \(4\) | \(0\) | \(2\) | \(2\) | \(2\) | \(\frac{ 3}{ 2}\) |
2
New Number: 5.97 | AESZ: 340 | Superseeker: 484/3 819404/3 | Hash: 2775f87d96d6e9710faad170157dd033
Degree: 5
\(3^{2} \theta^4-2^{2} 3 x\left(124\theta^4+1064\theta^3+769\theta^2+237\theta+30\right)-2^{7} x^{2}\left(8092\theta^4+5848\theta^3-22175\theta^2-13869\theta-2751\right)-2^{12} x^{3}\left(5412\theta^4-92376\theta^3-67609\theta^2-15615\theta-96\right)+2^{17} 17 x^{4}(2\theta+1)(2242\theta^3+1419\theta^2-1047\theta-733)-2^{23} 3 17^{2} x^{5}(2\theta+1)(3\theta+2)(3\theta+4)(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 40, 4968, 976000, 240389800, ... --> OEIS Normalized instanton numbers (n0=1): 484/3, -2053, 819404/3, -14598094/3, 5541353504/3, ... ; Common denominator:...
\(-(432z-1)(64z-1)(32z-1)(3+544z)^2\)
| \(-\frac{ 3}{ 544}\) | \(0\) | \(\frac{ 1}{ 432}\) | \(\frac{ 1}{ 64}\) | \(\frac{ 1}{ 32}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(\frac{ 2}{ 3}\) |
| \(3\) | \(0\) | \(1\) | \(1\) | \(1\) | \(\frac{ 4}{ 3}\) |
| \(4\) | \(0\) | \(2\) | \(2\) | \(2\) | \(\frac{ 3}{ 2}\) |