1
New Number: 4.64 | AESZ: 295 | Superseeker: -5408 -4296119968 | Hash: e40629f953a095a2a764c68394321139
Degree: 4
\(\theta^4-2^{4} x\left(816\theta^4-1440\theta^3-904\theta^2-184\theta-17\right)+2^{18} x^{2}\left(80\theta^4-592\theta^3+432\theta^2+164\theta+23\right)+2^{30} x^{3}\left(80\theta^4-384\theta^3-296\theta^2-96\theta-11\right)+2^{45} x^{4}\left((2\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -272, 93456, 194502400, -587215823600, ... --> OEIS Normalized instanton numbers (n0=1): -5408, -3839480, -4296119968, -6482749129792, -11816577914904160, ... ; Common denominator:...
\((8388608z^2+3328z+1)(-1+8192z)^2\)
| \(-\frac{ 13}{ 65536}-\frac{ 7}{ 65536}\sqrt{ 7}I\) | \(-\frac{ 13}{ 65536}+\frac{ 7}{ 65536}\sqrt{ 7}I\) | \(0\) | \(s_1\) | \(s_2\) | \(\frac{ 1}{ 8192}\) | \(\infty\) |
|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(3\) | \(\frac{ 1}{ 2}\) |
| \(2\) | \(2\) | \(0\) | \(2\) | \(2\) | \(4\) | \(\frac{ 1}{ 2}\) |
2
New Number: 5.19 | AESZ: 180 | Superseeker: -624 -43406256 | Hash: c174fb2dfd87730e48b4ae8b57ac66df
Degree: 5
\(\theta^4-2^{4} 3 x\left(198\theta^4+72\theta^3+69\theta^2+33\theta+5\right)+2^{9} 3^{2} x^{2}\left(7614\theta^4+7128\theta^3+6813\theta^2+2529\theta+340\right)-2^{14} 3^{5} x^{3}\left(15714\theta^4+27216\theta^3+26343\theta^2+11151\theta+1685\right)+2^{19} 3^{9} x^{4}(3\theta+1)(3\theta+2)(576\theta^2+1008\theta+605)-2^{27} 3^{13} x^{5}(3\theta+1)(3\theta+2)(3\theta+4)(3\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 240, 173520, 170016000, 193451504400, ... --> OEIS Normalized instanton numbers (n0=1): -624, -137190, -43406256, -18281817141, -9083828410320, ... ; Common denominator:...
\(-(-1+864z)(2592z-1)^2(1728z-1)^2\)
| \(0\) | \(\frac{ 1}{ 2592}\) | \(\frac{ 1}{ 1728}\) | \(\frac{ 1}{ 864}\) | \(\infty\) |
|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 3}\) |
| \(0\) | \(1\) | \(\frac{ 1}{ 2}\) | \(1\) | \(\frac{ 2}{ 3}\) |
| \(0\) | \(3\) | \(\frac{ 1}{ 2}\) | \(1\) | \(\frac{ 4}{ 3}\) |
| \(0\) | \(4\) | \(1\) | \(2\) | \(\frac{ 5}{ 3}\) |