1
New Number: 2.58 | AESZ: 46 | Superseeker: -6 -104 | Hash: 2226ec115674e71c483ba2c0350e8adf
Degree: 2
\(\theta^4-2 3 x(2\theta+1)^2(9\theta^2+9\theta+5)+2^{2} 3^{6} x^{2}(2\theta+1)(\theta+1)^2(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 30, 1782, 129900, 10463670, ... --> OEIS Normalized instanton numbers (n0=1): -6, -6, -104, 36, -4812, ... ; Common denominator:...
\((108z-1)^2\)
\(0\) | \(\frac{ 1}{ 108}\) | \(\infty\) |
---|---|---|
\(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(0\) | \(\frac{ 1}{ 6}\) | \(1\) |
\(0\) | \(\frac{ 5}{ 6}\) | \(1\) |
\(0\) | \(1\) | \(\frac{ 3}{ 2}\) |
2
New Number: 2.67 | AESZ: 245 | Superseeker: -6 -170 | Hash: 0ef0bca0dbecbedad92696fd7c0f9e42
Degree: 2
\(\theta^4-2 3 x\left(36\theta^4+66\theta^3+61\theta^2+28\theta+5\right)+2^{2} 3^{2} x^{2}(3\theta+2)^2(6\theta+7)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, 30, 1764, 127776, 10248750, ... --> OEIS Normalized instanton numbers (n0=1): -6, -33, -170, -1029, -3246, ... ; Common denominator:...
\((108z-1)^2\)
\(0\) | \(\frac{ 1}{ 108}\) | \(\infty\) |
---|---|---|
\(0\) | \(0\) | \(\frac{ 2}{ 3}\) |
\(0\) | \(\frac{ 1}{ 6}\) | \(\frac{ 2}{ 3}\) |
\(0\) | \(1\) | \(\frac{ 7}{ 6}\) |
\(0\) | \(\frac{ 7}{ 6}\) | \(\frac{ 7}{ 6}\) |
3
New Number: 8.84 | AESZ: | Superseeker: 1/5 224/5 | Hash: 258fab6f0a4f132fe597fc6f30e54eea
Degree: 8
\(5^{2} \theta^4+5 x\theta^2(-1-2\theta+107\theta^2)+2^{2} x^{2}\left(2174\theta^4+5942\theta^3+8569\theta^2+5200\theta+1200\right)+2^{2} 3^{2} x^{3}\left(308\theta^4-4248\theta^3-17051\theta^2-16785\theta-5280\right)-2^{4} 3^{2} x^{4}\left(7060\theta^4+39500\theta^3+69820\theta^2+52851\theta+14688\right)-2^{6} 3^{4} x^{5}\left(881\theta^4+3974\theta^3+8648\theta^2+7983\theta+2581\right)+2^{7} 3^{4} x^{6}\left(1192\theta^4+2376\theta^3-1132\theta^2-4185\theta-1926\right)+2^{8} 3^{6} x^{7}\left(68\theta^4+568\theta^3+1095\theta^2+811\theta+210\right)-2^{12} 3^{8} x^{8}\left((\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 0, -12, 144, 324, ... --> OEIS Normalized instanton numbers (n0=1): 1/5, -6, 224/5, -448/5, -4334/5, ... ; Common denominator:...
\(-(9z-1)(576z^3+368z^2+16z+1)(-5-36z+72z^2)^2\)
≈\(-0.597246\) | \(\frac{ 1}{ 4}-\frac{ 1}{ 12}\sqrt{ 19}\) | ≈\(-0.020821-0.049733I\) | ≈\(-0.020821+0.049733I\) | \(0\) | \(\frac{ 1}{ 9}\) | \(\frac{ 1}{ 4}+\frac{ 1}{ 12}\sqrt{ 19}\) | \(\infty\) |
---|---|---|---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
\(1\) | \(1\) | \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) |
\(1\) | \(3\) | \(1\) | \(1\) | \(0\) | \(1\) | \(3\) | \(1\) |
\(2\) | \(4\) | \(2\) | \(2\) | \(0\) | \(2\) | \(4\) | \(1\) |