1
New Number: 3.23 | AESZ: 393 | Superseeker: -128 -263808 | Hash: c49c1e5d127755611021be0fc2c55d06
Degree: 3
\(\theta^4+2^{5} x\left(79\theta^4+140\theta^3+112\theta^2+42\theta+6\right)+2^{8} 3 x^{2}(6\theta+5)(462\theta^3+1255\theta^2+1052\theta+235)+2^{13} 3^{2} 5^{2} x^{3}(6\theta+5)(6\theta+11)(3\theta+1)(3\theta+7)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -192, 89136, -51502080, 32954034960, ... --> OEIS Normalized instanton numbers (n0=1): -128, -5148, -263808, -22378134, -2164448640, ... ; Common denominator:...
\((800z+1)(1+864z)^2\)
| \(-\frac{ 1}{ 800}\) | \(-\frac{ 1}{ 864}\) | \(0\) | \(\infty\) |
|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 3}\) |
| \(1\) | \(\frac{ 1}{ 3}\) | \(0\) | \(\frac{ 5}{ 6}\) |
| \(1\) | \(1\) | \(0\) | \(\frac{ 11}{ 6}\) |
| \(2\) | \(\frac{ 4}{ 3}\) | \(0\) | \(\frac{ 7}{ 3}\) |
2
New Number: 4.13 | AESZ: ~37 | Superseeker: -128 -1546624/3 | Hash: c03e4e4ca58f9f1f76c98c8616bc2cbd
Degree: 4
\(\theta^4-2^{2} x\left(640\theta^4+1280\theta^3+1534\theta^2+894\theta+201\right)+2^{4} 3 x^{2}\left(45056\theta^4+180224\theta^3+308352\theta^2+256256\theta+86363\right)-2^{19} x^{3}(320\theta^2+960\theta+957)(2\theta+3)^2+2^{30} x^{4}(2\theta+3)(2\theta+5)(4\theta+7)(4\theta+9)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 804, 655260, 563879792, 505573095132, ... --> OEIS Normalized instanton numbers (n0=1): -128, -5232, -1546624/3, -64705008, -7960717440, ... ; Common denominator:...
\((1024z-1)^2(256z-1)^2\)
| \(0\) | \(\frac{ 1}{ 1024}\) | \(\frac{ 1}{ 256}\) | \(\infty\) |
|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(\frac{ 3}{ 2}\) |
| \(0\) | \(-\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 2}\) | \(\frac{ 7}{ 4}\) |
| \(0\) | \(1\) | \(1\) | \(\frac{ 9}{ 4}\) |
| \(0\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 5}{ 2}\) |
3
New Number: 4.50 | AESZ: 256 | Superseeker: -128 -800384 | Hash: 05e172cfdecc836685981a2b01b75d1d
Degree: 4
\(\theta^4+2^{5} x\left(24\theta^4+42\theta^3+30\theta^2+9\theta+1\right)+2^{8} x^{2}\left(164\theta^4+104\theta^3-144\theta^2-100\theta-17\right)+2^{14} x^{3}\left(28\theta^4-48\theta^3-44\theta^2-12\theta-1\right)-2^{18} x^{4}\left((2\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -32, 7056, -2393600, 991152400, ... --> OEIS Normalized instanton numbers (n0=1): -128, 6884, -800384, 143245314, -31691939200, ... ; Common denominator:...
\(-(4096z^2-704z-1)(1+32z)^2\)
| \(-\frac{ 1}{ 32}\) | \(\frac{ 11}{ 128}-\frac{ 5}{ 128}\sqrt{ 5}\) | \(0\) | \(s_1\) | \(s_2\) | \(\frac{ 11}{ 128}+\frac{ 5}{ 128}\sqrt{ 5}\) | \(\infty\) |
|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(3\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(4\) | \(2\) | \(0\) | \(2\) | \(2\) | \(2\) | \(\frac{ 1}{ 2}\) |