1
New Number: 3.34 | AESZ: | Superseeker: 16 1744 | Hash: 931a876bfe4d4aa192c6e18e74047640
Degree: 3
\(\theta^4-2^{4} x\left(25\theta^4+50\theta^3+43\theta^2+18\theta+3\right)+2^{11} x^{2}(26\theta^2+52\theta+21)(\theta+1)^2-2^{16} 3^{2} x^{3}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 48, 3984, 387840, 40818960, ... --> OEIS Normalized instanton numbers (n0=1): 16, -110, 1744, -29526, 644016, ... ; Common denominator:...
\(-(144z-1)(-1+128z)^2\)
| \(0\) | \(\frac{ 1}{ 144}\) | \(\frac{ 1}{ 128}\) | \(\infty\) |
|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(1\) | \(\frac{ 1}{ 2}\) | \(1\) |
| \(0\) | \(1\) | \(\frac{ 1}{ 2}\) | \(2\) |
| \(0\) | \(2\) | \(1\) | \(\frac{ 5}{ 2}\) |
2
New Number: 4.35 | AESZ: | Superseeker: -16 -1744 | Hash: cd392ce4c33f242f5d17e59976d0ea4f
Degree: 4
\(\theta^4-2^{4} x\left(23\theta^4+14\theta^3+13\theta^2+6\theta+1\right)+2^{11} x^{2}\theta(21\theta^3+24\theta^2+18\theta+4)-2^{16} x^{3}(2\theta+1)(10\theta^3+7\theta^2-5\theta-4)-2^{23} x^{4}(2\theta+1)(\theta+1)^2(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 16, 912, 67840, 5839120, ... --> OEIS Normalized instanton numbers (n0=1): -16, -106, -1744, -29526, -644016, ... ; Common denominator:...
\(-(16z+1)(128z-1)^3\)
| \(-\frac{ 1}{ 16}\) | \(0\) | \(\frac{ 1}{ 128}\) | \(\infty\) |
|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(0\) | \(\frac{ 1}{ 2}\) | \(1\) |
| \(1\) | \(0\) | \(\frac{ 3}{ 2}\) | \(1\) |
| \(2\) | \(0\) | \(2\) | \(\frac{ 3}{ 2}\) |