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New Number: 12.14 | AESZ: | Superseeker: 7/2 237/2 | Hash: 614b95fc4275078df0800c7546870e7f
Degree: 12
\(2^{2} \theta^4+2 x\left(74\theta^4+22\theta^3+77\theta^2+66\theta+18\right)+3^{2} x^{2}\left(97\theta^4+1206\theta^3+2235\theta^2+1750\theta+642\right)+3^{4} x^{3}\left(126\theta^4+3910\theta^3+7341\theta^2+8588\theta+3750\right)+3^{6} x^{4}\left(832\theta^4+6078\theta^3+26372\theta^2+37719\theta+21825\right)+3^{8} x^{5}\left(442\theta^4+12544\theta^3+62654\theta^2+116087\theta+78828\right)-3^{10} x^{6}\left(1032\theta^4-5126\theta^3-73629\theta^2-192529\theta-165306\right)-2 3^{12} x^{7}\left(1432\theta^4+11737\theta^3+11907\theta^2-41634\theta-71496\right)-3^{14} x^{8}\left(1871\theta^4+35422\theta^3+145979\theta^2+220752\theta+99504\right)+2 3^{17} x^{9}\left(151\theta^4-2094\theta^3-20341\theta^2-54972\theta-48672\right)+2^{3} 3^{19} x^{10}(\theta+3)(86\theta^3+414\theta^2+181\theta-936)+2^{3} 3^{22} x^{11}(\theta+4)(\theta+3)(21\theta^2+137\theta+224)+2^{4} 3^{24} x^{12}(\theta+3)(\theta+5)(\theta+4)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, -9, -18, 747, -5751, ... --> OEIS Normalized instanton numbers (n0=1): 7/2, -193/8, 237/2, -6119/4, 16307, ... ; Common denominator:...
\((9z+1)(z+1)(324z^2-18z+1)(81z^2+9z+1)^2(486z^2-27z-2)^2\)
| \(-1\) | \(-\frac{ 1}{ 9}\) | \(-\frac{ 1}{ 18}-\frac{ 1}{ 18}\sqrt{ 3}I\) | \(-\frac{ 1}{ 18}+\frac{ 1}{ 18}\sqrt{ 3}I\) | \(\frac{ 1}{ 36}-\frac{ 1}{ 108}\sqrt{ 57}\) | \(0\) | \(\frac{ 1}{ 36}-\frac{ 1}{ 36}\sqrt{ 3}I\) | \(\frac{ 1}{ 36}+\frac{ 1}{ 36}\sqrt{ 3}I\) | \(\frac{ 1}{ 36}+\frac{ 1}{ 108}\sqrt{ 57}\) | \(\infty\) |
|---|---|---|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(3\) |
| \(1\) | \(1\) | \(0\) | \(0\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(4\) |
| \(1\) | \(1\) | \(-1\) | \(-1\) | \(3\) | \(0\) | \(1\) | \(1\) | \(3\) | \(4\) |
| \(2\) | \(2\) | \(1\) | \(1\) | \(4\) | \(0\) | \(2\) | \(2\) | \(4\) | \(5\) |