1
New Number: 5.30 | AESZ: 209 | Superseeker: 478/17 285760/17 | Hash: a03a0a18a8b2a4926d11e4e42b958f98
Degree: 5
\(17^{2} \theta^4-2 17 x\left(1902\theta^4+3708\theta^3+2789\theta^2+935\theta+119\right)+2^{2} x^{2}\left(62408\theta^4+68576\theta^3-10029\theta^2-24106\theta-5661\right)-2^{2} x^{3}\left(66180\theta^4+33048\theta^3+20785\theta^2+17799\theta+4794\right)+2^{7} x^{4}(2\theta+1)(196\theta^3+498\theta^2+487\theta+169)-2^{12} x^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 14, 978, 103820, 13387570, ... --> OEIS Normalized instanton numbers (n0=1): 478/17, 7784/17, 285760/17, 15280156/17, 1006004774/17, ... ; Common denominator:...
\(-(16z^3-32z^2+220z-1)(-17+32z)^2\)
| \(0\) | ≈\(0.004548\) | \(\frac{ 17}{ 32}\) | ≈\(0.997726-3.570079I\) | ≈\(0.997726+3.570079I\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(0\) | \(1\) | \(3\) | \(1\) | \(1\) | \(1\) |
| \(0\) | \(2\) | \(4\) | \(2\) | \(2\) | \(\frac{ 3}{ 2}\) |
2
New Number: 5.77 | AESZ: 307 | Superseeker: 69/11 8883/11 | Hash: 3a2dcd4c59d8fa5b7c57250efeecba62
Degree: 5
\(11^{2} \theta^4-3 11 x\left(361\theta^4+530\theta^3+419\theta^2+154\theta+22\right)+2^{2} x^{2}\left(47008\theta^4+45904\theta^3-3251\theta^2-17094\theta-4851\right)-2^{4} 3 x^{3}\left(31436\theta^4+86856\theta^3+160363\theta^2+122133\theta+30294\right)+2^{9} 3^{2} x^{4}(2\theta+1)(1252\theta^3+5442\theta^2+6767\theta+2625)-2^{14} 3^{6} x^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 6, 162, 6540, 314370, ... --> OEIS Normalized instanton numbers (n0=1): 69/11, 620/11, 8883/11, 171916/11, 4334406/11, ... ; Common denominator:...
\(-(81z-1)(64z^2+1)(-11+96z)^2\)
| \(0-\frac{ 1}{ 8}I\) | \(0\) | \(0+\frac{ 1}{ 8}I\) | \(\frac{ 1}{ 81}\) | \(\frac{ 11}{ 96}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(1\) | \(0\) | \(1\) | \(1\) | \(3\) | \(1\) |
| \(2\) | \(0\) | \(2\) | \(2\) | \(4\) | \(\frac{ 3}{ 2}\) |
3
New Number: 5.81 | AESZ: 312 | Superseeker: 5/7 48/7 | Hash: 767262575f8b1458839c1e9a8beacf0a
Degree: 5
\(7^{2} \theta^4-7 x\left(39\theta^4+234\theta^3+201\theta^2+84\theta+14\right)-2 x^{2}\left(12073\theta^4+43222\theta^3+57461\theta^2+34328\theta+7756\right)-2^{2} x^{3}\left(28923\theta^4+48426\theta^3-33393\theta^2-80976\theta-32032\right)+2^{3} 13 x^{4}\left(359\theta^4+9790\theta^3+20805\theta^2+15784\theta+4124\right)+2^{5} 3 13^{2} x^{5}(\theta+1)^2(6\theta+5)(6\theta+7)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 2, 30, 308, 5950, ... --> OEIS Normalized instanton numbers (n0=1): 5/7, 239/28, 48/7, 4451/14, 5888/7, ... ; Common denominator:...
\((16z+1)(2z-1)(27z-1)(7+26z)^2\)
| \(-\frac{ 7}{ 26}\) | \(-\frac{ 1}{ 16}\) | \(0\) | \(\frac{ 1}{ 27}\) | \(\frac{ 1}{ 2}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 5}{ 6}\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) |
| \(3\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) |
| \(4\) | \(2\) | \(0\) | \(2\) | \(2\) | \(\frac{ 7}{ 6}\) |