1
New Number: 4.34 | AESZ: 99 | Superseeker: 647/13 942613/13 | Hash: f6c6b846edc829f336d8e4ae1dcb5618
Degree: 4
\(13^{2} \theta^4-13 x\left(4569\theta^4+9042\theta^3+6679\theta^2+2158\theta+260\right)+2^{4} x^{2}\left(6386\theta^4-1774\theta^3-17898\theta^2-11596\theta-2119\right)+2^{8} x^{3}\left(67\theta^4+1248\theta^3+1091\theta^2+312\theta+26\right)-2^{12} x^{4}\left((2\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 20, 2196, 369200, 75562900, ... --> OEIS Normalized instanton numbers (n0=1): 647/13, 16166/13, 942613/13, 80218296/13, 8418215008/13, ... ; Common denominator:...
\(-(256z^2+349z-1)(-13+16z)^2\)
| \(-\frac{ 349}{ 512}-\frac{ 85}{ 512}\sqrt{ 17}\) | \(0\) | \(s_1\) | \(s_2\) | \(-\frac{ 349}{ 512}+\frac{ 85}{ 512}\sqrt{ 17}\) | \(\frac{ 13}{ 16}\) | \(\infty\) |
|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(3\) | \(\frac{ 1}{ 2}\) |
| \(2\) | \(0\) | \(2\) | \(2\) | \(2\) | \(4\) | \(\frac{ 1}{ 2}\) |
2
New Number: 5.65 | AESZ: 273 | Superseeker: 63/5 14016/5 | Hash: cf49bc645cb0404ce7bc9ca1d41d3152
Degree: 5
\(5^{2} \theta^4-3 5 x\left(333\theta^4+882\theta^3+781\theta^2+340\theta+60\right)+2^{2} 3^{2} x^{2}\left(5184\theta^4+40662\theta^3+71829\theta^2+47700\theta+11540\right)+2^{2} 3^{5} x^{3}\left(8424\theta^4+9720\theta^3-46899\theta^2-63045\theta-21260\right)-2^{4} 3^{8} x^{4}\left(1296\theta^4+12312\theta^3+23094\theta^2+16263\theta+3956\right)-2^{6} 3^{11} x^{5}(3\theta+2)(3\theta+4)(6\theta+5)(6\theta+7)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 36, 2196, 161280, 13032900, ... --> OEIS Normalized instanton numbers (n0=1): 63/5, -747/4, 14016/5, -55584, 6071598/5, ... ; Common denominator:...
\(-(-1+27z)(108z+5)^2(108z-1)^2\)
| \(-\frac{ 5}{ 108}\) | \(0\) | \(\frac{ 1}{ 108}\) | \(\frac{ 1}{ 27}\) | \(\infty\) |
|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 2}{ 3}\) |
| \(1\) | \(0\) | \(\frac{ 1}{ 6}\) | \(1\) | \(\frac{ 5}{ 6}\) |
| \(3\) | \(0\) | \(\frac{ 5}{ 6}\) | \(1\) | \(\frac{ 7}{ 6}\) |
| \(4\) | \(0\) | \(1\) | \(2\) | \(\frac{ 4}{ 3}\) |