1
New Number: 2.51 | AESZ: ~88,~89 | Superseeker: -5472 -6444589536 | Hash: 02d09c6c320ab036e45834cf0d3951e7
Degree: 2
\(\theta^4-2^{4} 3 x\left(1152\theta^4+2304\theta^3+2704\theta^2+1552\theta+339\right)+2^{16} 3^{2} x^{2}(6\theta+5)^2(6\theta+7)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, 16272, 347859216, 8115450239232, 197661638029770000, ... --> OEIS Normalized instanton numbers (n0=1): -5472, -4476528, -6444589536, -12228845295024, -27012506850929952, ... ; Common denominator:...
\((27648z-1)^2\)
\(0\) | \(\frac{ 1}{ 27648}\) | \(\infty\) |
---|---|---|
\(0\) | \(0\) | \(\frac{ 5}{ 6}\) |
\(0\) | \(-\frac{ 1}{ 2}\) | \(\frac{ 5}{ 6}\) |
\(0\) | \(1\) | \(\frac{ 7}{ 6}\) |
\(0\) | \(\frac{ 3}{ 2}\) | \(\frac{ 7}{ 6}\) |
2
New Number: 7.15 | AESZ: | Superseeker: -2 -952 | Hash: d9a911258d890c112974a4ba19e93e6d
Degree: 7
\(\theta^4+2 x\left(138\theta^4+156\theta^3+137\theta^2+59\theta+10\right)+2^{2} x^{2}\left(4796\theta^4+15824\theta^3+16719\theta^2+7610\theta+1400\right)-2^{4} 5 x^{3}\left(5876\theta^4-28824\theta^3-58439\theta^2-39075\theta-9350\right)-2^{6} 5 x^{4}\left(184592\theta^4+414976\theta^3-60816\theta^2-180968\theta-60145\right)+2^{10} 3 x^{5}\left(240624\theta^4-905760\theta^3-1250920\theta^2-576920\theta-83925\right)+2^{18} 3^{2} x^{6}\left(13608\theta^4+48276\theta^3+66402\theta^2+41679\theta+9935\right)-2^{20} 3^{5} x^{7}(6\theta+5)^2(6\theta+7)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, -20, 900, -55280, 3962500, ... --> OEIS Normalized instanton numbers (n0=1): -2, -343/2, -952, -45148, -17303644/25, ... ; Common denominator:...
\(-(-1-16z+256z^2)(32z-1)^2(108z+1)^3\)
\(\frac{ 1}{ 32}-\frac{ 1}{ 32}\sqrt{ 5}\) | \(-\frac{ 1}{ 108}\) | \(0\) | \(\frac{ 1}{ 32}\) | \(\frac{ 1}{ 32}+\frac{ 1}{ 32}\sqrt{ 5}\) | \(\infty\) |
---|---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 5}{ 6}\) |
\(1\) | \(\frac{ 1}{ 2}\) | \(0\) | \(1\) | \(1\) | \(\frac{ 5}{ 6}\) |
\(1\) | \(\frac{ 3}{ 2}\) | \(0\) | \(3\) | \(1\) | \(\frac{ 7}{ 6}\) |
\(2\) | \(2\) | \(0\) | \(4\) | \(2\) | \(\frac{ 7}{ 6}\) |
3
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:...
\((1-144z+6912z^2)(108z-1)^2(3456z^2-252z+1)^2\)
\(0\) | \(\frac{ 7}{ 192}-\frac{ 1}{ 576}\sqrt{ 345}\) | \(\frac{ 1}{ 108}\) | \(\frac{ 1}{ 96}-\frac{ 1}{ 288}\sqrt{ 3}I\) | \(\frac{ 1}{ 96}+\frac{ 1}{ 288}\sqrt{ 3}I\) | \(\frac{ 7}{ 192}+\frac{ 1}{ 576}\sqrt{ 345}\) | \(\infty\) |
---|---|---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 5}{ 6}\) |
\(0\) | \(1\) | \(\frac{ 1}{ 2}\) | \(1\) | \(1\) | \(1\) | \(\frac{ 5}{ 6}\) |
\(0\) | \(3\) | \(\frac{ 1}{ 2}\) | \(1\) | \(1\) | \(3\) | \(\frac{ 7}{ 6}\) |
\(0\) | \(4\) | \(1\) | \(2\) | \(2\) | \(4\) | \(\frac{ 7}{ 6}\) |