1
New Number: 8.26 | AESZ: 301 | Superseeker: 193/11 48570/11 | Hash: a91db18876a9dfbf42b88f8d64c55d85
Degree: 8
\(11^{2} \theta^4-11 x\left(1517\theta^4+3136\theta^3+2393\theta^2+825\theta+110\right)-x^{2}\left(24266+106953\theta+202166\theta^2+207620\theta^3+90362\theta^4\right)-x^{3}\left(53130+217437\theta+415082\theta^2+507996\theta^3+245714\theta^4\right)-x^{4}\left(15226+183269\theta+564786\theta^2+785972\theta^3+407863\theta^4\right)-x^{5}\left(25160+279826\theta+728323\theta^2+790148\theta^3+434831\theta^4\right)-2^{3} x^{6}\left(36361\theta^4+70281\theta^3+73343\theta^2+37947\theta+7644\right)-2^{4} 5 x^{7}\left(1307\theta^4+3430\theta^3+3877\theta^2+2162\theta+488\right)-2^{9} 5^{2} x^{8}\left((\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 10, 466, 32392, 2727826, ... --> OEIS Normalized instanton numbers (n0=1): 193/11, 1973/11, 48570/11, 1689283/11, 72444183/11, ... ; Common denominator:...
\(-(-1+143z+32z^2)(z+1)^2(20z^2+17z+11)^2\)
\(-\frac{ 143}{ 64}-\frac{ 19}{ 64}\sqrt{ 57}\) | \(-1\) | \(-\frac{ 17}{ 40}-\frac{ 1}{ 40}\sqrt{ 591}I\) | \(-\frac{ 17}{ 40}+\frac{ 1}{ 40}\sqrt{ 591}I\) | \(0\) | \(-\frac{ 143}{ 64}+\frac{ 19}{ 64}\sqrt{ 57}\) | \(\infty\) |
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\(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
\(1\) | \(\frac{ 1}{ 2}\) | \(1\) | \(1\) | \(0\) | \(1\) | \(1\) |
\(1\) | \(\frac{ 1}{ 2}\) | \(3\) | \(3\) | \(0\) | \(1\) | \(1\) |
\(2\) | \(1\) | \(4\) | \(4\) | \(0\) | \(2\) | \(1\) |