1
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:...
\(-(81z-1)(64z^2+1)(-11+96z)^2\)
| \(0-\frac{ 1}{ 8}I\) | \(0\) | \(0+\frac{ 1}{ 8}I\) | \(\frac{ 1}{ 81}\) | \(\frac{ 11}{ 96}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(1\) | \(0\) | \(1\) | \(1\) | \(3\) | \(1\) |
| \(2\) | \(0\) | \(2\) | \(2\) | \(4\) | \(\frac{ 3}{ 2}\) |
2
New Number: 5.86 | AESZ: 320 | Superseeker: 741/11 138745 | Hash: d19e7569ce62abdd5393977835e411a9
Degree: 5
\(11^{2} \theta^4-11 x\left(4843\theta^4+8918\theta^3+6505\theta^2+2046\theta+242\right)+2^{2} x^{2}\left(312184\theta^4+343456\theta^3-23371\theta^2-73942\theta-14883\right)-2^{4} x^{3}\left(511972\theta^4+256344\theta^3+144969\theta^2+78639\theta+15642\right)+2^{11} x^{4}(2\theta+1)(1964\theta^3+3078\theta^2+1853\theta+419)-2^{18} x^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 22, 2850, 568300, 138119170, ... --> OEIS Normalized instanton numbers (n0=1): 741/11, 22232/11, 138745, 157326644/11, 19999995398/11, ... ; Common denominator:...
\(-(z-1)(64z^2-416z+1)(-11+128z)^2\)
| \(0\) | \(\frac{ 13}{ 4}-\frac{ 15}{ 8}\sqrt{ 3}\) | \(\frac{ 11}{ 128}\) | \(1\) | \(\frac{ 13}{ 4}+\frac{ 15}{ 8}\sqrt{ 3}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(0\) | \(1\) | \(3\) | \(1\) | \(1\) | \(1\) |
| \(0\) | \(2\) | \(4\) | \(2\) | \(2\) | \(\frac{ 3}{ 2}\) |