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: 5.99 | AESZ: 342 | Superseeker: -4 3856/9 | Hash: 009a00efdd065ef9ea58db999d777786
Degree: 5
\(\theta^4+2 x\left(50\theta^4+64\theta^3+52\theta^2+20\theta+3\right)+2^{2} 3 x^{2}\left(380\theta^4+992\theta^3+1166\theta^2+612\theta+117\right)+2^{2} 3^{2} x^{3}\left(2140\theta^4+5832\theta^3+5651\theta^2+2349\theta+360\right)+2^{4} 3^{6} x^{4}(2\theta+1)(20\theta^3+42\theta^2+35\theta+11)+2^{6} 3^{7} x^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -6, 54, 660, -69930, ... --> OEIS Normalized instanton numbers (n0=1): -4, -16, 3856/9, -3864, -20784, ... ; Common denominator:...
\((3888z^3+2592z^2+76z+1)(1+12z)^2\)
≈\(-0.636595\) | \(-\frac{ 1}{ 12}\) | ≈\(-0.015036-0.01334I\) | ≈\(-0.015036+0.01334I\) | \(0\) | \(\infty\) |
---|---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(1\) | \(1\) | \(1\) | \(1\) | \(0\) | \(1\) |
\(1\) | \(3\) | \(1\) | \(1\) | \(0\) | \(1\) |
\(2\) | \(4\) | \(2\) | \(2\) | \(0\) | \(\frac{ 3}{ 2}\) |
3
New Number: 5.9 | AESZ: 56 | Superseeker: -16 -3280 | Hash: 58a7f24bf18cb98b526885069667f9f0
Degree: 5
\(\theta^4-2^{4} x\left(22\theta^4+8\theta^3+9\theta^2+5\theta+1\right)+2^{9} x^{2}\left(94\theta^4+88\theta^3+97\theta^2+45\theta+8\right)-2^{14} x^{3}\left(194\theta^4+336\theta^3+371\theta^2+195\theta+41\right)+2^{19} 3 x^{4}\left(64\theta^4+176\theta^3+217\theta^2+129\theta+30\right)-2^{27} 3^{2} x^{5}\left((\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 16, 464, 17152, 725776, ... --> OEIS Normalized instanton numbers (n0=1): -16, -178, -3280, -76197, -2046896, ... ; Common denominator:...
\(-(-1+32z)(96z-1)^2(64z-1)^2\)
\(0\) | \(\frac{ 1}{ 96}\) | \(\frac{ 1}{ 64}\) | \(\frac{ 1}{ 32}\) | \(\infty\) |
---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
\(0\) | \(1\) | \(\frac{ 1}{ 2}\) | \(1\) | \(1\) |
\(0\) | \(3\) | \(\frac{ 1}{ 2}\) | \(1\) | \(1\) |
\(0\) | \(4\) | \(1\) | \(2\) | \(1\) |