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New Number: 7.9 | AESZ: | Superseeker: -3 -245/3 | Hash: 5641c09b76662b0741e41b41b0c6f105
Degree: 7
\(\theta^4-3 x\left(96\theta^4+120\theta^3+127\theta^2+67\theta+14\right)+3^{2} x^{2}\left(3897\theta^4+9540\theta^3+13209\theta^2+9246\theta+2608\right)-2 3^{4} x^{3}\left(14445\theta^4+52002\theta^3+88179\theta^2+73278\theta+23920\right)+2^{2} 3^{6} x^{4}\left(31671\theta^4+149364\theta^3+298089\theta^2+280512\theta+100780\right)-2^{3} 3^{12} x^{5}(\theta+1)(507\theta^3+2439\theta^2+4306\theta+2704)+2^{6} 3^{14} x^{6}(\theta+1)(\theta+2)(90\theta^2+351\theta+370)-2^{7} 3^{19} x^{7}(\theta+1)(\theta+2)^2(\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 42, 1872, 86712, 4126716, ... --> OEIS Normalized instanton numbers (n0=1): -3, 69/4, -245/3, 879, -11829, ... ; Common denominator:...
\(-(36z-1)^2(27z-1)^2(54z-1)^3\)
| \(0\) | \(\frac{ 1}{ 54}\) | \(\frac{ 1}{ 36}\) | \(\frac{ 1}{ 27}\) | \(\infty\) |
|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(0\) | \(0\) | \(1\) | \(\frac{ 1}{ 3}\) | \(2\) |
| \(0\) | \(-\frac{ 1}{ 3}\) | \(3\) | \(\frac{ 2}{ 3}\) | \(2\) |
| \(0\) | \(\frac{ 1}{ 3}\) | \(4\) | \(1\) | \(3\) |