1
New Number: 4.71 | AESZ: 353 | Superseeker: -4 -1580/9 | Hash: 33845d8200fe810109063e352fbfc8b1
Degree: 4
\(\theta^4-2^{2} x\left(52\theta^4+40\theta^3+37\theta^2+17\theta+3\right)+2^{4} x^{2}\left(960\theta^4+1536\theta^3+1512\theta^2+688\theta+123\right)-2^{8} x^{3}\left(1792\theta^4+4608\theta^3+5184\theta^2+2816\theta+597\right)+2^{14} x^{4}(4\theta+5)^2(4\theta+3)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, 12, 324, 11856, 504900, ... --> OEIS Normalized instanton numbers (n0=1): -4, -24, -1580/9, -1580, -17120, ... ; Common denominator:...
\((16z-1)(64z-1)^3\)
\(0\) | \(\frac{ 1}{ 64}\) | \(\frac{ 1}{ 16}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 3}{ 4}\) |
\(0\) | \(\frac{ 1}{ 2}\) | \(1\) | \(\frac{ 3}{ 4}\) |
\(0\) | \(\frac{ 3}{ 2}\) | \(1\) | \(\frac{ 5}{ 4}\) |
\(0\) | \(2\) | \(2\) | \(\frac{ 5}{ 4}\) |
2
New Number: 5.50 | AESZ: 249 | Superseeker: -44/5 -596 | Hash: 85592af20bbb190e37428e945664c2f3
Degree: 5
\(5^{2} \theta^4+2^{2} 5 x\left(148\theta^4+392\theta^3+341\theta^2+145\theta+25\right)+2^{4} x^{2}\left(4096\theta^4+32128\theta^3+57016\theta^2+37920\theta+9175\right)-2^{8} x^{3}\left(6656\theta^4+7680\theta^3-36960\theta^2-49920\theta-16985\right)-2^{15} x^{4}\left(512\theta^4+4864\theta^3+9136\theta^2+6464\theta+1587\right)+2^{20} x^{5}(4\theta+5)^2(4\theta+3)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, -20, 684, -28496, 1317100, ... --> OEIS Normalized instanton numbers (n0=1): -44/5, -277/5, -596, -7236, -502128/5, ... ; Common denominator:...
\((1+16z)(64z+1)^2(64z-5)^2\)
\(-\frac{ 1}{ 16}\) | \(-\frac{ 1}{ 64}\) | \(0\) | \(\frac{ 5}{ 64}\) | \(\infty\) |
---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 3}{ 4}\) |
\(1\) | \(\frac{ 1}{ 2}\) | \(0\) | \(1\) | \(\frac{ 3}{ 4}\) |
\(1\) | \(\frac{ 1}{ 2}\) | \(0\) | \(3\) | \(\frac{ 5}{ 4}\) |
\(2\) | \(1\) | \(0\) | \(4\) | \(\frac{ 5}{ 4}\) |