1
New Number: 7.13 | AESZ: | Superseeker: -32 -107936 | Hash: 80eaab6a34199e98f88d8472c115c4df
Degree: 7
\(\theta^4+2^{4} x\left(44\theta^4+72\theta^3+64\theta^2+28\theta+5\right)+2^{11} x^{2}\left(60\theta^4+328\theta^3+420\theta^2+228\theta+51\right)-2^{18} x^{3}\left(52\theta^4-328\theta^3-885\theta^2-663\theta-181\right)-2^{25} x^{4}\left(148\theta^4+344\theta^3-403\theta^2-559\theta-199\right)-2^{32} x^{5}\left(24\theta^4+544\theta^3+519\theta^2+147\theta-12\right)+2^{39} x^{6}\left(80\theta^4+32\theta^3-147\theta^2-159\theta-46\right)+2^{47} x^{7}(4\theta+3)(\theta+1)^2(4\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -80, 10512, -1703168, 309951760, ... --> OEIS Normalized instanton numbers (n0=1): -32, -2840, -107936, -7514224, -575948640, ... ; Common denominator:...
\((64z+1)(128z+1)(128z-1)^2(256z+1)^3\)
| \(-\frac{ 1}{ 64}\) | \(-\frac{ 1}{ 128}\) | \(-\frac{ 1}{ 256}\) | \(0\) | \(\frac{ 1}{ 128}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 3}{ 4}\) |
| \(1\) | \(1\) | \(\frac{ 1}{ 4}\) | \(0\) | \(1\) | \(1\) |
| \(1\) | \(1\) | \(\frac{ 7}{ 4}\) | \(0\) | \(3\) | \(1\) |
| \(2\) | \(2\) | \(2\) | \(0\) | \(4\) | \(\frac{ 5}{ 4}\) |
2
New Number: 8.52 | AESZ: | Superseeker: 416 9734432 | Hash: 87729f275f24cb2daf88133571476576
Degree: 8
\(\theta^4+2^{4} x\left(176\theta^4-32\theta^3+4\theta^2+20\theta+5\right)+2^{12} x^{2}\left(640\theta^4+256\theta^3+680\theta^2+224\theta+27\right)+2^{22} x^{3}\left(220\theta^4+648\theta^3+596\theta^2+348\theta+85\right)+2^{30} x^{4}\left(116\theta^4+1024\theta^3+1608\theta^2+1072\theta+281\right)-2^{38} x^{5}\left(32\theta^4-448\theta^3-1588\theta^2-1404\theta-437\right)-2^{46} x^{6}\left(80\theta^4+288\theta^3-88\theta^2-384\theta-179\right)-2^{57} x^{7}\left(2\theta^4+28\theta^3+56\theta^2+42\theta+11\right)+2^{66} x^{8}\left((\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -80, 6928, -597248, 95243536, ... --> OEIS Normalized instanton numbers (n0=1): 416, -52752, 9734432, -2404009688, 687625871328, ... ; Common denominator:...
\((1+256z+65536z^2)(256z+1)^2(131072z^2-1024z-1)^2\)
| \(-\frac{ 1}{ 256}\) | \(-\frac{ 1}{ 512}-\frac{ 1}{ 512}\sqrt{ 3}I\) | \(-\frac{ 1}{ 512}+\frac{ 1}{ 512}\sqrt{ 3}I\) | \(\frac{ 1}{ 256}-\frac{ 1}{ 512}\sqrt{ 6}\) | \(0\) | \(\frac{ 1}{ 256}+\frac{ 1}{ 512}\sqrt{ 6}\) | \(\infty\) |
|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(\frac{ 1}{ 2}\) | \(1\) | \(1\) | \(1\) | \(0\) | \(1\) | \(1\) |
| \(\frac{ 1}{ 2}\) | \(1\) | \(1\) | \(3\) | \(0\) | \(3\) | \(1\) |
| \(1\) | \(2\) | \(2\) | \(4\) | \(0\) | \(4\) | \(1\) |