1
New Number: 2.53 | AESZ: 29 | Superseeker: 14 10424/3 | Hash: 92e8a038051b3fb8e0cc6ad6a52b8bfb
Degree: 2
\(\theta^4-2 x(2\theta+1)^2(17\theta^2+17\theta+5)+2^{2} x^{2}(2\theta+1)(\theta+1)^2(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 10, 438, 28900, 2310070, ... --> OEIS Normalized instanton numbers (n0=1): 14, 303/2, 10424/3, 113664, 4579068, ... ; Common denominator:...
\(1-136z+16z^2\)
\(0\) | \(\frac{ 17}{ 4}-3\sqrt{ 2}\) | \(\frac{ 17}{ 4}+3\sqrt{ 2}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(0\) | \(1\) | \(1\) | \(1\) |
\(0\) | \(1\) | \(1\) | \(1\) |
\(0\) | \(2\) | \(2\) | \(\frac{ 3}{ 2}\) |
2
New Number: 2.55 | AESZ: 42 | Superseeker: 8 1000 | Hash: c389d3bc0e31801bc4b7b3e186702bc9
Degree: 2
\(\theta^4-2^{3} x(2\theta+1)^2(3\theta^2+3\theta+1)+2^{6} x^{2}(2\theta+1)(\theta+1)^2(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 8, 240, 10880, 597520, ... --> OEIS Normalized instanton numbers (n0=1): 8, 63, 1000, 44369/2, 606168, ... ; Common denominator:...
\(1-96z+256z^2\)
\(0\) | \(\frac{ 3}{ 16}-\frac{ 1}{ 8}\sqrt{ 2}\) | \(\frac{ 3}{ 16}+\frac{ 1}{ 8}\sqrt{ 2}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(0\) | \(1\) | \(1\) | \(1\) |
\(0\) | \(1\) | \(1\) | \(1\) |
\(0\) | \(2\) | \(2\) | \(\frac{ 3}{ 2}\) |
3
New Number: 2.61 | AESZ: 26 | Superseeker: 10 1724 | Hash: f3fc09474973b19b8bdb783e3322eb65
Degree: 2
\(\theta^4-2 x(2\theta+1)^2(13\theta^2+13\theta+4)-2^{2} 3 x^{2}(2\theta+1)(3\theta+2)(3\theta+4)(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 8, 288, 15200, 968800, ... --> OEIS Normalized instanton numbers (n0=1): 10, 191/2, 1724, 45680, 1478214, ... ; Common denominator:...
\(-(4z+1)(108z-1)\)
\(-\frac{ 1}{ 4}\) | \(0\) | \(\frac{ 1}{ 108}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(1\) | \(0\) | \(1\) | \(\frac{ 2}{ 3}\) |
\(1\) | \(0\) | \(1\) | \(\frac{ 4}{ 3}\) |
\(2\) | \(0\) | \(2\) | \(\frac{ 3}{ 2}\) |
4
New Number: 5.113 | AESZ: 403 | Superseeker: -29/5 -1481/5 | Hash: 492c8a69e87d470c87b9557834f0fc5b
Degree: 5
\(5^{2} \theta^4+5 x\left(487\theta^4+878\theta^3+709\theta^2+270\theta+40\right)+2^{5} x^{2}\left(1013\theta^4+2639\theta^3+2943\theta^2+1520\theta+280\right)-2^{8} x^{3}\left(2169\theta^4+14880\theta^3+30789\theta^2+22440\theta+5240\right)-2^{12} x^{4}(2\theta+1)(518\theta^3+2397\theta^2+2940\theta+1048)-2^{16} 3 x^{5}(2\theta+1)(3\theta+2)(3\theta+4)(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -8, 216, -8000, 359800, ... --> OEIS Normalized instanton numbers (n0=1): -29/5, 229/5, -1481/5, 43173/5, -155267, ... ; Common denominator:...
\(-(27z+1)(1024z^2-64z-1)(5+16z)^2\)
\(-\frac{ 5}{ 16}\) | \(-\frac{ 1}{ 27}\) | \(\frac{ 1}{ 32}-\frac{ 1}{ 32}\sqrt{ 2}\) | \(0\) | \(\frac{ 1}{ 32}+\frac{ 1}{ 32}\sqrt{ 2}\) | \(\infty\) |
---|---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(1\) | \(1\) | \(1\) | \(0\) | \(1\) | \(\frac{ 2}{ 3}\) |
\(3\) | \(1\) | \(1\) | \(0\) | \(1\) | \(\frac{ 4}{ 3}\) |
\(4\) | \(2\) | \(2\) | \(0\) | \(2\) | \(\frac{ 3}{ 2}\) |