1
New Number: 5.106 | AESZ: 360 | Superseeker: 3169/17 16293835/17 | Hash: 502b9ea354d34405e6925ab32d7f1cd2
Degree: 5
\(17^{2} \theta^4+17 x\left(10622\theta^4-19904\theta^3-13913\theta^2-3961\theta-510\right)+3^{2} x^{2}\left(1596891\theta^4-10821444\theta^3+10580847\theta^2+6358884\theta+1355036\right)-3^{5} x^{3}\left(5472387\theta^4-81131922\theta^3-52565469\theta^2-9898488\theta+1434596\right)+2^{2} 3^{8} 127 x^{4}\left(318018\theta^4+157911\theta^3-445563\theta^2-476706\theta-130792\right)-2^{2} 3^{12} 5 127^{2} x^{5}(5\theta+3)(5\theta+4)(5\theta+6)(5\theta+7)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 30, 414, -73680, -4205250, ... --> OEIS Normalized instanton numbers (n0=1): 3169/17, -723497/68, 16293835/17, -1870341966/17, 251152956621/17, ... ; Common denominator:...
\(-(2278125z^3-33831z^2+182z-1)(17+6858z)^2\)
| \(0\) | ≈\(0.011217\) | \(\infty\) | ≈\(0.001817+0.005986I\) | ≈\(0.001817-0.005986I\) | \(-\frac{ 17}{ 6858}\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(\frac{ 3}{ 5}\) | \(0\) | \(0\) | \(0\) |
| \(0\) | \(1\) | \(\frac{ 4}{ 5}\) | \(1\) | \(1\) | \(1\) |
| \(0\) | \(1\) | \(\frac{ 6}{ 5}\) | \(1\) | \(1\) | \(3\) |
| \(0\) | \(2\) | \(\frac{ 7}{ 5}\) | \(2\) | \(2\) | \(4\) |
2
New Number: 5.94 | AESZ: 334 | Superseeker: 7/3 -4843/81 | Hash: 1ab1dce2847b14dd89a8f8f48ddc7214
Degree: 5
\(3^{2} \theta^4-3 x\left(166\theta^4+320\theta^3+271\theta^2+111\theta+18\right)+x^{2}\left(11155\theta^4+42652\theta^3+60463\theta^2+36876\theta+8172\right)-3^{2} x^{3}\left(4705\theta^4+23418\theta^3+42217\theta^2+31152\theta+7932\right)+2^{2} 3 x^{4}\left(3514\theta^4+16403\theta^3+25581\theta^2+16442\theta+3744\right)-2^{2} 5 x^{5}(5\theta+3)(5\theta+4)(5\theta+6)(5\theta+7)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 6, 54, 240, -9450, ... --> OEIS Normalized instanton numbers (n0=1): 7/3, -79/12, -4843/81, -1058/3, 3620/3, ... ; Common denominator:...
\(-(3125z^3-1167z^2+54z-1)(2z-3)^2\)
| \(0\) | \(\frac{ 3}{ 2}\) | \(\infty\) | ≈\(0.025215+0.018839I\) | ≈\(0.025215-0.018839I\) | ≈\(0.32301\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(\frac{ 3}{ 5}\) | \(0\) | \(0\) | \(0\) |
| \(0\) | \(1\) | \(\frac{ 4}{ 5}\) | \(1\) | \(1\) | \(1\) |
| \(0\) | \(3\) | \(\frac{ 6}{ 5}\) | \(1\) | \(1\) | \(1\) |
| \(0\) | \(4\) | \(\frac{ 7}{ 5}\) | \(2\) | \(2\) | \(2\) |