1
New Number: 4.7 | AESZ: | Superseeker: -54 -40552 | Hash: ee8508b4e5567367ca11f74e074e8099
Degree: 4
\(\theta^4-2 3 x\left(180\theta^4+360\theta^3+433\theta^2+253\theta+57\right)+2^{2} 3^{4} 11 x^{2}\left(108\theta^4+432\theta^3+741\theta^2+618\theta+209\right)-2^{5} 3^{8} x^{3}(60\theta^2+180\theta+181)(2\theta+3)^2+2^{8} 3^{10} x^{4}(2\theta+3)(2\theta+5)(6\theta+11)(6\theta+13)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 342, 117990, 42901884, 16240501782, ... --> OEIS Normalized instanton numbers (n0=1): -54, -864, -40552, -2192400, -123334380, ... ; Common denominator:...
\((432z-1)^2(108z-1)^2\)
\(0\) | \(\frac{ 1}{ 432}\) | \(\frac{ 1}{ 108}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 3}{ 2}\) |
\(0\) | \(-\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 2}\) | \(\frac{ 11}{ 6}\) |
\(0\) | \(1\) | \(1\) | \(\frac{ 13}{ 6}\) |
\(0\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 5}{ 2}\) |
2
New Number: 8.25 | AESZ: 299 | Superseeker: -54 -197216/3 | Hash: c9e3907e21d64cf5564bf2d00992459e
Degree: 8
\(\theta^4-2 3 x\left(144\theta^4+36\theta^3+47\theta^2+29\theta+6\right)+2^{2} 3^{2} x^{2}\left(8376\theta^4+6648\theta^3+8157\theta^2+3900\theta+724\right)-2^{4} 3^{4} x^{3}\left(42672\theta^4+68616\theta^3+81056\theta^2+44841\theta+9964\right)+2^{6} 3^{5} x^{4}\left(374028\theta^4+962040\theta^3+1262091\theta^2+794463\theta+195335\right)-2^{8} 3^{7} x^{5}\left(633840\theta^4+2243328\theta^3+3405968\theta^2+2385208\theta+629129\right)+2^{12} 3^{8} x^{6}\left(438960\theta^4+1884384\theta^3+3176664\theta^2+2380392\theta+652943\right)-2^{19} 3^{10} x^{7}\left(5760\theta^4+25128\theta^3+39548\theta^2+26606\theta+6517\right)+2^{22} 3^{11} x^{8}(6\theta+5)^2(6\theta+7)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, 36, 1908, 116496, 7816500, ... --> OEIS Normalized instanton numbers (n0=1): -54, -1530, -197216/3, -3553920, -222887448, ... ; Common denominator:...
\((1-144z+6912z^2)(108z-1)^2(3456z^2-252z+1)^2\)
\(0\) | \(\frac{ 7}{ 192}-\frac{ 1}{ 576}\sqrt{ 345}\) | \(\frac{ 1}{ 108}\) | \(\frac{ 1}{ 96}-\frac{ 1}{ 288}\sqrt{ 3}I\) | \(\frac{ 1}{ 96}+\frac{ 1}{ 288}\sqrt{ 3}I\) | \(\frac{ 7}{ 192}+\frac{ 1}{ 576}\sqrt{ 345}\) | \(\infty\) |
---|---|---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 5}{ 6}\) |
\(0\) | \(1\) | \(\frac{ 1}{ 2}\) | \(1\) | \(1\) | \(1\) | \(\frac{ 5}{ 6}\) |
\(0\) | \(3\) | \(\frac{ 1}{ 2}\) | \(1\) | \(1\) | \(3\) | \(\frac{ 7}{ 6}\) |
\(0\) | \(4\) | \(1\) | \(2\) | \(2\) | \(4\) | \(\frac{ 7}{ 6}\) |