1
New Number: 5.115 | AESZ: 413 | Superseeker: -3843 -2715123387 | Hash: 2cc16ba9e49744872ae72bfd6b36d064
Degree: 5
\(\theta^4-3^{2} x\left(2835\theta^4-162\theta^3+261\theta^2+342\theta+68\right)+2^{2} 3^{9} x^{2}\left(3024\theta^4+918\theta^3+1977\theta^2+606\theta+64\right)-2^{2} 3^{16} x^{3}\left(5832\theta^4+7128\theta^3+7137\theta^2+3087\theta+524\right)+2^{4} 3^{25} x^{4}(2\theta+1)(72\theta^3+144\theta^2+121\theta+36)-2^{6} 3^{31} x^{5}(2\theta+1)(3\theta+2)(3\theta+4)(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 612, 836244, 1455469200, 2860801391700, ... --> OEIS Normalized instanton numbers (n0=1): -3843, -9668061/4, -2715123387, -3984527414448, -6798579266503881, ... ; Common denominator:...
\(-(-1+2187z)(8748z-1)^2(2916z-1)^2\)
\(0\) | \(\frac{ 1}{ 8748}\) | \(\frac{ 1}{ 2916}\) | \(\frac{ 1}{ 2187}\) | \(\infty\) |
---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(0\) | \(1\) | \(\frac{ 1}{ 2}\) | \(1\) | \(\frac{ 2}{ 3}\) |
\(0\) | \(3\) | \(\frac{ 1}{ 2}\) | \(1\) | \(\frac{ 4}{ 3}\) |
\(0\) | \(4\) | \(1\) | \(2\) | \(\frac{ 3}{ 2}\) |
2
New Number: 5.35 | AESZ: 218 | Superseeker: 138/7 42984/7 | Hash: a76111af659715caf2c4344eedd9d678
Degree: 5
\(7^{2} \theta^4-2 3 7 x\left(192\theta^4+396\theta^3+303\theta^2+105\theta+14\right)+2^{2} 3 x^{2}\left(1188\theta^4+11736\theta^3+20431\theta^2+12152\theta+2436\right)+2^{2} 3^{3} x^{3}\left(532\theta^4+504\theta^3-3455\theta^2-3829\theta-1036\right)-2^{4} 3^{4} x^{4}(2\theta+1)(36\theta^3+306\theta^2+421\theta+156)-2^{6} 3^{4} x^{5}(2\theta+1)(3\theta+2)(3\theta+4)(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 12, 612, 48000, 4580100, ... --> OEIS Normalized instanton numbers (n0=1): 138/7, 1506/7, 42984/7, 235596, 78950334/7, ... ; Common denominator:...
\(-(1296z^3-864z^2+168z-1)(7+12z)^2\)
\(-\frac{ 7}{ 12}\) | \(0\) | ≈\(0.006145\) | ≈\(0.330261-0.128447I\) | ≈\(0.330261+0.128447I\) | \(\infty\) |
---|---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(\frac{ 2}{ 3}\) |
\(3\) | \(0\) | \(1\) | \(1\) | \(1\) | \(\frac{ 4}{ 3}\) |
\(4\) | \(0\) | \(2\) | \(2\) | \(2\) | \(\frac{ 3}{ 2}\) |