1
New Number: 2.64 | AESZ: 182 | Superseeker: 1 7 | Hash: 89ba4729efa82413b33fe6928ff8d2c9
Degree: 2
\(\theta^4-x\left(43\theta^4+86\theta^3+77\theta^2+34\theta+6\right)+2^{2} 3 x^{2}(\theta+1)^2(6\theta+5)(6\theta+7)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 6, 66, 924, 14850, ... --> OEIS Normalized instanton numbers (n0=1): 1, 7/4, 7, 40, 270, ... ; Common denominator:...
\((27z-1)(16z-1)\)
| \(0\) | \(\frac{ 1}{ 27}\) | \(\frac{ 1}{ 16}\) | \(\infty\) |
|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(\frac{ 5}{ 6}\) |
| \(0\) | \(1\) | \(1\) | \(1\) |
| \(0\) | \(1\) | \(1\) | \(1\) |
| \(0\) | \(2\) | \(2\) | \(\frac{ 7}{ 6}\) |
2
New Number: 5.25 | AESZ: 198 | Superseeker: -84/11 -9052/11 | Hash: a1f924763b047c2720d99cfca5ca63db
Degree: 5
\(11^{2} \theta^4+7 11 x\left(130\theta^4+266\theta^3+210\theta^2+77\theta+11\right)-x^{2}\left(11198+55253\theta+103725\theta^2+89990\theta^3+32126\theta^4\right)+x^{3}\left(1716+20625\theta+63474\theta^2+74184\theta^3+28723\theta^4\right)-7 x^{4}\left(1135\theta^4+2336\theta^3+1881\theta^2+713\theta+110\right)+7^{2} x^{5}\left((\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -7, 199, -8359, 423751, ... --> OEIS Normalized instanton numbers (n0=1): -84/11, 639/11, -9052/11, 189021/11, -4838013/11, ... ; Common denominator:...
\((z^3-159z^2+84z+1)(-11+7z)^2\)
| ≈\(-0.011648\) | \(0\) | ≈\(0.541757\) | \(\frac{ 11}{ 7}\) | ≈\(158.469891\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(1\) | \(0\) | \(1\) | \(3\) | \(1\) | \(1\) |
| \(2\) | \(0\) | \(2\) | \(4\) | \(2\) | \(1\) |
3
New Number: 5.79 | AESZ: 310 | Superseeker: 181/11 47171/11 | Hash: 2b9b103b1c8f0d3175cd1fb9ef5aacc2
Degree: 5
\(11^{2} \theta^4-11 x\left(1673\theta^4+3046\theta^3+2337\theta^2+814\theta+110\right)+2 5 x^{2}\left(19247\theta^4+28298\theta^3+13285\theta^2+3454\theta+660\right)-2^{2} x^{3}\left(167497\theta^4+245982\theta^3+227451\theta^2+115434\theta+22968\right)+2^{3} 5^{2} x^{4}\left(4079\theta^4+10270\theta^3+11427\theta^2+6226\theta+1340\right)-2^{5} 5^{4} x^{5}(4\theta+3)(\theta+1)^2(4\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 10, 450, 30772, 2551810, ... --> OEIS Normalized instanton numbers (n0=1): 181/11, 2018/11, 47171/11, 3261479/22, 69313270/11, ... ; Common denominator:...
\(-(z-1)(128z^2-142z+1)(-11+50z)^2\)
| \(0\) | \(\frac{ 71}{ 128}-\frac{ 17}{ 128}\sqrt{ 17}\) | \(\frac{ 11}{ 50}\) | \(1\) | \(\frac{ 71}{ 128}+\frac{ 17}{ 128}\sqrt{ 17}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 3}{ 4}\) |
| \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(0\) | \(1\) | \(3\) | \(1\) | \(1\) | \(1\) |
| \(0\) | \(2\) | \(4\) | \(2\) | \(2\) | \(\frac{ 5}{ 4}\) |