1
New Number: 2.32 | AESZ: | Superseeker: 60 307860 | Hash: c2f30268af49d0bdc6a36f8b0fce3367
Degree: 2
\(\theta^4-2^{2} 3 x(3\theta+1)(3\theta+2)(32\theta^2+32\theta+13)+2^{12} 3^{2} x^{2}(3\theta+1)(3\theta+2)(3\theta+4)(3\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 312, 268200, 297104640, 370278354600, ... --> OEIS Normalized instanton numbers (n0=1): 60, -7635, 307860, -44194980, 3687387360, ... ; Common denominator:...
\((1728z-1)^2\)
| \(0\) | \(\frac{ 1}{ 1728}\) | \(\infty\) |
|---|---|---|
| \(0\) | \(0\) | \(\frac{ 1}{ 3}\) |
| \(0\) | \(\frac{ 1}{ 4}\) | \(\frac{ 2}{ 3}\) |
| \(0\) | \(\frac{ 3}{ 4}\) | \(\frac{ 4}{ 3}\) |
| \(0\) | \(1\) | \(\frac{ 5}{ 3}\) |
2
New Number: 5.39 | AESZ: 224 | Superseeker: 59/5 22503/5 | Hash: ba17e8cb074bba75e7a27206be530698
Degree: 5
\(5^{2} \theta^4-5 x\left(1057\theta^4+1058\theta^3+819\theta^2+290\theta+40\right)+2^{5} x^{2}\left(10123\theta^4+11419\theta^3+5838\theta^2+1510\theta+180\right)-2^{8} x^{3}\left(30981\theta^4+46560\theta^3+48211\theta^2+25500\theta+5100\right)+2^{14} 11 x^{4}(2\theta+1)(234\theta^3+591\theta^2+581\theta+202)-2^{20} 11^{2} x^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 8, 312, 19520, 1475320, ... --> OEIS Normalized instanton numbers (n0=1): 59/5, 186, 22503/5, 718052/5, 29091017/5, ... ; Common denominator:...
\(-(128z-1)(128z^2-13z+1)(-5+176z)^2\)
| \(0\) | \(\frac{ 1}{ 128}\) | \(\frac{ 5}{ 176}\) | \(\frac{ 13}{ 256}-\frac{ 7}{ 256}\sqrt{ 7}I\) | \(\frac{ 13}{ 256}+\frac{ 7}{ 256}\sqrt{ 7}I\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(0\) | \(1\) | \(3\) | \(1\) | \(1\) | \(1\) |
| \(0\) | \(2\) | \(4\) | \(2\) | \(2\) | \(\frac{ 3}{ 2}\) |
3
New Number: 16.3 | AESZ: | Superseeker: 68 1294532/3 | Hash: ed2a3fd88f95da59e82dcb7b2feb1eb1
Degree: 16
\(\theta^4+2^{2} x\left(4\theta^4-136\theta^3-345\theta^2-277\theta-78\right)-2^{7} x^{2}\left(200\theta^4+1736\theta^3+5488\theta^2+6235\theta+2661\right)-2^{12} x^{3}\left(1753\theta^4+4110\theta^3+20372\theta^2+22839\theta+8793\right)-2^{16} 3 x^{4}\left(2348\theta^4-19892\theta^3-14072\theta^2-33415\theta-43923\right)+2^{20} 3^{2} x^{5}\left(7876\theta^4+135496\theta^3+165125\theta^2+164459\theta+135000\right)+2^{26} 3^{2} x^{6}\left(35570\theta^4+273894\theta^3+190975\theta^2-89697\theta-119673\right)+2^{30} 3^{4} x^{7}\left(26487\theta^4+106022\theta^3-140553\theta^2-488804\theta-337095\right)+2^{36} 3^{4} x^{8}\left(16757\theta^4-83170\theta^3-787090\theta^2-1456680\theta-830376\right)-2^{41} 3^{4} x^{9}\left(35072\theta^4+724464\theta^3+3034063\theta^2+4788747\theta+2542968\right)-2^{46} 3^{5} x^{10}\left(66016\theta^4+658784\theta^3+2080330\theta^2+2614218\theta+968913\right)-2^{50} 3^{6} x^{11}\left(73120\theta^4+498112\theta^3+780920\theta^2-812872\theta-2147843\right)-2^{56} 3^{7} x^{12}\left(544\theta^4-88512\theta^3-765688\theta^2-2198712\theta-2138531\right)+2^{63} 3^{7} x^{13}\left(7104\theta^4+111552\theta^3+620932\theta^2+1494292\theta+1329663\right)+2^{69} 3^{8} x^{14}\left(1856\theta^4+26624\theta^3+142124\theta^2+335916\theta+297185\right)+2^{74} 3^{9} x^{15}\left(400\theta^4+5664\theta^3+30008\theta^2+70536\theta+62089\right)+2^{80} 3^{10} x^{16}\left((2\theta+7)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 312, 86184, 21412224, 5052550824, ... --> OEIS Normalized instanton numbers (n0=1): 68, 3884, 1294532/3, 70075068, 14264173344, ... ; Common denominator:...
\(\)
No data for singularities