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New Number: 10.3 | AESZ: | Superseeker: 2 421/9 | Hash: 5219414e025733d8e128028821370b4b
Degree: 10
\(\theta^4-x\left(321\theta^4+258\theta^3+258\theta^2+129\theta+26\right)+x^{2}\left(74028\theta^3+14112+55150\theta+89219\theta^2+46467\theta^4\right)-2^{3} x^{3}\left(499260\theta^4+1184748\theta^3+1665809\theta^2+1187841\theta+345452\right)+2^{4} 3 x^{4}\left(4702665\theta^4+14805730\theta^3+23754818\theta^2+18867201\theta+5979118\right)-2^{6} x^{5}\left(136927125\theta^4+537349854\theta^3+968406086\theta^2+839579917\theta+283906432\right)+2^{6} x^{6}\left(3697617171\theta^4+17401686816\theta^3+34821823585\theta^2+32540314464\theta+11600569724\right)-2^{9} x^{7}\left(8571324186\theta^4+47135706036\theta^3+103830096399\theta^2+103713883221\theta+38684901782\right)+2^{12} x^{8}\left(13055773347\theta^4+82367586444\theta^3+198438600506\theta^2+210671505052\theta+81797663483\right)-2^{16} 137 x^{9}(2\theta+3)(21527774\theta^3+121431015\theta^2+220937755\theta+121634574)+2^{20} 3 73^{2} 137^{2} x^{10}(\theta+1)(2\theta+5)(2\theta+3)(\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 26, 730, 21320, 638506, ... --> OEIS Normalized instanton numbers (n0=1): 2, -3/2, 421/9, -519/2, 285, ... ; Common denominator:...
\((24z-1)(42632z^3-3675z^2+105z-1)(32z-1)^2(1096z^2-64z+1)^2\)
| \(0\) | ≈\(0.025716-0.003646I\) | ≈\(0.025716+0.003646I\) | \(\frac{ 4}{ 137}-\frac{ 3}{ 548}\sqrt{ 2}I\) | \(\frac{ 4}{ 137}+\frac{ 3}{ 548}\sqrt{ 2}I\) | \(\frac{ 1}{ 32}\) | ≈\(0.034771\) | \(\frac{ 1}{ 24}\) | \(\infty\) |
|---|---|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) | \(1\) | \(1\) | \(\frac{ 3}{ 2}\) |
| \(0\) | \(1\) | \(1\) | \(3\) | \(3\) | \(\frac{ 1}{ 2}\) | \(1\) | \(1\) | \(\frac{ 5}{ 2}\) |
| \(0\) | \(2\) | \(2\) | \(4\) | \(4\) | \(1\) | \(2\) | \(2\) | \(3\) |