1
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:...
\(-(16z+1)(128z-1)^3\)
\(-\frac{ 1}{ 16}\) | \(0\) | \(\frac{ 1}{ 128}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(1\) | \(0\) | \(\frac{ 1}{ 2}\) | \(1\) |
\(1\) | \(0\) | \(\frac{ 3}{ 2}\) | \(1\) |
\(2\) | \(0\) | \(2\) | \(\frac{ 3}{ 2}\) |
2
New Number: 6.11 | AESZ: | Superseeker: 27296 369676901920 | Hash: 480dfd541eda896f1434450e820ef263
Degree: 6
\(\theta^4+2^{4} x\left(4480\theta^4-6016\theta^3-3632\theta^2-624\theta-57\right)+2^{14} x^{2}\left(56512\theta^4-238208\theta^3+88016\theta^2+21584\theta+2943\right)-2^{24} 3^{2} x^{3}\left(93952\theta^4+21248\theta^3+15264\theta^2+2176\theta+155\right)-2^{34} 3^{3} x^{4}\left(41664\theta^4+57088\theta^3+4448\theta^2-21248\theta-7191\right)+2^{48} 3^{3} 13 x^{5}(\theta+1)(808\theta^3+2352\theta^2+2099\theta+582)-2^{58} 3^{5} 13^{2} x^{6}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 912, 2320656, 9507313920, 49468269165840, ... --> OEIS Normalized instanton numbers (n0=1): 27296, -70540912, 369676901920, -2547102730999216, 20534034788092596960, ... ; Common denominator:...
\(-(3072z+1)(9216z-1)(39936z+1)^2(1024z-1)^2\)
\(-\frac{ 1}{ 3072}\) | \(-\frac{ 1}{ 39936}\) | \(0\) | \(\frac{ 1}{ 9216}\) | \(\frac{ 1}{ 1024}\) | \(\infty\) |
---|---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(1\) | \(1\) | \(0\) | \(1\) | \(\frac{ 1}{ 2}\) | \(1\) |
\(1\) | \(3\) | \(0\) | \(1\) | \(\frac{ 1}{ 2}\) | \(2\) |
\(2\) | \(4\) | \(0\) | \(2\) | \(1\) | \(\frac{ 5}{ 2}\) |