1
New Number: 5.16 | AESZ: 118 | Superseeker: 55 116555 | Hash: d950d38dab80e3772855675af0cdb950
Degree: 5
\(\theta^4-x\left(465\theta^4+594\theta^3+431\theta^2+134\theta+16\right)+2^{4} x^{2}\left(2625\theta^4+1911\theta^3-946\theta^2-884\theta-176\right)-2^{6} x^{3}\left(16105\theta^4-3624\theta^3-5241\theta^2-1284\theta-36\right)-2^{11} 7 x^{4}\left(155\theta^4+334\theta^3+306\theta^2+139\theta+26\right)+2^{16} 7^{2} x^{5}\left((\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 16, 1816, 310336, 64483576, ... --> OEIS Normalized instanton numbers (n0=1): 55, 1915, 116555, 10661240, 1227998285, ... ; Common denominator:...
\((z-1)(1024z^2+352z-1)(-1+56z)^2\)
\(-\frac{ 11}{ 64}-\frac{ 5}{ 64}\sqrt{ 5}\) | \(0\) | \(-\frac{ 11}{ 64}+\frac{ 5}{ 64}\sqrt{ 5}\) | \(\frac{ 1}{ 56}\) | \(1\) | \(\infty\) |
---|---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
\(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(1\) |
\(1\) | \(0\) | \(1\) | \(3\) | \(1\) | \(1\) |
\(2\) | \(0\) | \(2\) | \(4\) | \(2\) | \(1\) |
2
New Number: 5.40 | AESZ: 226 | Superseeker: 62/5 4060/3 | Hash: 92f95cd33ac4bf18c2d05ce3040c5203
Degree: 5
\(5^{2} \theta^4-2 5 x\left(328\theta^4+692\theta^3+551\theta^2+205\theta+30\right)+2^{2} 3 x^{2}\left(5352\theta^4+25416\theta^3+38387\theta^2+23020\theta+4860\right)-2^{4} 3^{3} x^{3}\left(352\theta^4+4520\theta^3+12108\theta^2+10205\theta+2630\right)-2^{6} 3^{3} x^{4}(2\theta+1)(586\theta^3+3039\theta^2+3947\theta+1527)-2^{8} 3^{4} x^{5}(2\theta+1)(6\theta+5)(6\theta+7)(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 12, 396, 19920, 1241100, ... --> OEIS Normalized instanton numbers (n0=1): 62/5, 55, 4060/3, 28790, 861786, ... ; Common denominator:...
\(-(16z-1)(108z-1)(12z-1)(5+12z)^2\)
\(-\frac{ 5}{ 12}\) | \(0\) | \(\frac{ 1}{ 108}\) | \(\frac{ 1}{ 16}\) | \(\frac{ 1}{ 12}\) | \(\infty\) |
---|---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(\frac{ 5}{ 6}\) |
\(3\) | \(0\) | \(1\) | \(1\) | \(1\) | \(\frac{ 7}{ 6}\) |
\(4\) | \(0\) | \(2\) | \(2\) | \(2\) | \(\frac{ 3}{ 2}\) |