1
New Number: 2.63 | AESZ: 84 | Superseeker: -4 -44 | Hash: 908b978c0c447d3643c3018c40e7f5d1
Degree: 2
\(\theta^4-2^{2} x\left(32\theta^4+64\theta^3+63\theta^2+31\theta+6\right)+2^{8} x^{2}(4\theta+3)(\theta+1)^2(4\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 24, 936, 43008, 2145960, ... --> OEIS Normalized instanton numbers (n0=1): -4, -11, -44, -156, -288, ... ; Common denominator:...
\((64z-1)^2\)
| \(0\) | \(\frac{ 1}{ 64}\) | \(\infty\) |
|---|---|---|
| \(0\) | \(0\) | \(\frac{ 3}{ 4}\) |
| \(0\) | \(0\) | \(1\) |
| \(0\) | \(1\) | \(1\) |
| \(0\) | \(1\) | \(\frac{ 5}{ 4}\) |
2
New Number: 3.26 | AESZ: 407 | Superseeker: 2 440 | Hash: c46d32ba4b3738ba34fe1e6c16e6f242
Degree: 3
\(\theta^4+2 x\left(132\theta^4+264\theta^3+293\theta^2+161\theta+35\right)+2^{2} 5^{2} x^{2}(\theta+1)^2(228\theta^2+456\theta+335)+2^{6} 5^{4} x^{3}(\theta+1)(\theta+2)(4\theta+5)(4\theta+7)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -70, 5650, -484900, 43071250, ... --> OEIS Normalized instanton numbers (n0=1): 2, -44, 440, -4844, 46268, ... ; Common denominator:...
\((64z+1)(1+100z)^2\)
| \(-\frac{ 1}{ 64}\) | \(-\frac{ 1}{ 100}\) | \(0\) | \(\infty\) |
|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(-\frac{ 1}{ 2}\) | \(0\) | \(\frac{ 5}{ 4}\) |
| \(1\) | \(1\) | \(0\) | \(\frac{ 7}{ 4}\) |
| \(2\) | \(\frac{ 3}{ 2}\) | \(0\) | \(2\) |
3
New Number: 6.2 | AESZ: | Superseeker: -8 -1552/3 | Hash: fd7b14f2d0f2a78723588771a9b1a984
Degree: 6
\(\theta^4-x\left(280\theta^4+560\theta^3+686\theta^2+406\theta+93\right)+3 x^{2}\left(9296\theta^4+37184\theta^3+66322\theta^2+58276\theta+20863\right)-2 x^{3}\left(594560\theta^4+3567360\theta^3+8664912\theta^2+9941616\theta+4484205\right)+x^{4}\left(21204736\theta^4+169637888\theta^3+520783424\theta^2+726030592\theta+387696585\right)-2^{3} 3^{2} 5^{2} x^{5}(4\theta+9)(4\theta+11)(4144\theta^2+20720\theta+28335)+2^{4} 3^{4} 5^{4} x^{6}(4\theta+9)(4\theta+11)(4\theta+13)(4\theta+15)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 93, 15717/2, 1345795/2, 473123715/8, ... --> OEIS Normalized instanton numbers (n0=1): -8, -44, -1552/3, -8044, -138528, ... ; Common denominator:...
\((100z-1)^2(4z-1)^2(36z-1)^2\)
| \(0\) | \(\frac{ 1}{ 100}\) | \(\frac{ 1}{ 36}\) | \(\frac{ 1}{ 4}\) | \(\infty\) |
|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 9}{ 4}\) |
| \(0\) | \(-\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 2}\) | \(\frac{ 11}{ 4}\) |
| \(0\) | \(1\) | \(1\) | \(1\) | \(\frac{ 13}{ 4}\) |
| \(0\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 15}{ 4}\) |