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New Number: 5.66 | AESZ: 274 | Superseeker: 49/5 6032/15 | Hash: 729d44a3b7b561b49603f26a25d26069
Degree: 5
\(5^{2} \theta^4-5 x\left(757\theta^4+1298\theta^3+1049\theta^2+400\theta+60\right)+2^{2} 3^{2} x^{2}\left(5456\theta^4+17498\theta^3+22121\theta^2+11940\theta+2340\right)-2^{2} 3^{4} x^{3}\left(15128\theta^4+68040\theta^3+112171\theta^2+73845\theta+16380\right)+2^{4} 3^{8} x^{4}(2\theta+1)(216\theta^3+864\theta^2+1015\theta+356)-2^{6} 3^{10} x^{5}(2\theta+1)(3\theta+2)(3\theta+4)(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 12, 324, 12000, 548100, ... --> OEIS Normalized instanton numbers (n0=1): 49/5, -68/5, 6032/15, 36276/5, 350082/5, ... ; Common denominator:...
\(-(81z-1)(1296z^2-56z+1)(-5+36z)^2\)
\(0\) | \(\frac{ 1}{ 81}\) | \(\frac{ 7}{ 324}-\frac{ 1}{ 81}\sqrt{ 2}I\) | \(\frac{ 7}{ 324}+\frac{ 1}{ 81}\sqrt{ 2}I\) | \(\frac{ 5}{ 36}\) | \(\infty\) |
---|---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(\frac{ 2}{ 3}\) |
\(0\) | \(1\) | \(1\) | \(1\) | \(3\) | \(\frac{ 4}{ 3}\) |
\(0\) | \(2\) | \(2\) | \(2\) | \(4\) | \(\frac{ 3}{ 2}\) |