1
New Number: 6.19 | AESZ: | Superseeker: 2/23 27/23 | Hash: 38a2cec750ea75c0fd64ef0a4286a801
Degree: 6
\(23^{6} \theta^4+2 23^{5} x\left(224\theta^4+448\theta^3+449\theta^2+225\theta+45\right)+2^{2} 23^{4} x^{2}\left(6271\theta^4+25084\theta^3+40435\theta^2+30702\theta+9035\right)-23^{3} x^{3}\left(8650483\theta^4+51902898\theta^3+114278033\theta^2+109271058\theta+38421000\right)-2^{2} 5 23^{2} x^{4}\left(37482007\theta^4+299856056\theta^3+854051365\theta^2+1017357012\theta+426206376\right)-2^{4} 3 5^{2} 7 11 19 23 x^{5}(\theta+4)(\theta+1)(10889\theta^2+54445\theta+62408)-2^{6} 3^{2} 5^{3} 7^{2} 11^{2} 19^{2} x^{6}(\theta+5)(\theta+4)(\theta+2)(\theta+1)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -90/23, 13390/529, -2157300/12167, 398261070/279841, ... --> OEIS Normalized instanton numbers (n0=1): 2/23, 18/23, 27/23, 136/23, 395/23, ... ; Common denominator:...
\(-(228z+23)(21z+23)(140z-23)(44z+23)(5225z^2+6785z+529)\)
\(-\frac{ 1357}{ 2090}-\frac{ 529}{ 2090}\sqrt{ 5}\) | \(-\frac{ 23}{ 21}\) | \(-\frac{ 23}{ 44}\) | \(-\frac{ 23}{ 228}\) | \(-\frac{ 1357}{ 2090}+\frac{ 529}{ 2090}\sqrt{ 5}\) | \(0\) | \(\frac{ 23}{ 140}\) | \(\infty\) |
---|---|---|---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
\(1\) | \(1\) | \(1\) | \(1\) | \(1\) | \(0\) | \(1\) | \(2\) |
\(1\) | \(1\) | \(1\) | \(1\) | \(1\) | \(0\) | \(1\) | \(4\) |
\(2\) | \(2\) | \(2\) | \(2\) | \(2\) | \(0\) | \(2\) | \(5\) |
2
New Number: 8.50 | AESZ: | Superseeker: 2/23 27/23 | Hash: 68499833fa99ef8841a3d64e042d4a6e
Degree: 8
\(23^{2} \theta^4-2 23 x\theta^2(136\theta^2+2\theta+1)-2^{2} x^{2}\left(7589\theta^4+54926\theta^3+89975\theta^2+69828\theta+21160\right)+x^{3}\left(573259\theta^4+2342274\theta^3+3791849\theta^2+3070914\theta+1010160\right)-2 5 x^{4}\left(122351\theta^4+62266\theta^3-795547\theta^2-1404486\theta-669744\right)-2^{3} 3 5^{2} x^{5}(\theta+1)(16105\theta^3+133047\theta^2+320040\theta+245740)+2^{4} 3^{2} 5^{3} x^{6}(\theta+1)(\theta+2)(3107\theta^2+16911\theta+22834)-2^{4} 3^{4} 5^{4} x^{7}(\theta+3)(\theta+2)(\theta+1)(133\theta+404)+2^{5} 3^{6} 5^{5} x^{8}(\theta+1)(\theta+2)(\theta+3)(\theta+4)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 0, 10, 0, 270, ... --> OEIS Normalized instanton numbers (n0=1): 2/23, 18/23, 27/23, 136/23, 395/23, ... ; Common denominator:...
\((3z-1)(2z-1)(10z-1)(6z+1)(25z^2-5z-1)(-23+90z)^2\)
\(-\frac{ 1}{ 6}\) | \(\frac{ 1}{ 10}-\frac{ 1}{ 10}\sqrt{ 5}\) | \(0\) | \(\frac{ 1}{ 10}\) | \(\frac{ 23}{ 90}\) | \(\frac{ 1}{ 10}+\frac{ 1}{ 10}\sqrt{ 5}\) | \(\frac{ 1}{ 3}\) | \(\frac{ 1}{ 2}\) | \(\infty\) |
---|---|---|---|---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
\(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) | \(2\) |
\(1\) | \(1\) | \(0\) | \(1\) | \(3\) | \(1\) | \(1\) | \(1\) | \(3\) |
\(2\) | \(2\) | \(0\) | \(2\) | \(4\) | \(2\) | \(2\) | \(2\) | \(4\) |