1
New Number: 6.39 | AESZ: | Superseeker: 8 3784/3 | Hash: 6429f42cbe18bee944ac13edab1fbbcc
Degree: 6
\(\theta^4+2^{2} x\left(49\theta^4+98\theta^3+86\theta^2+37\theta+6\right)+2^{5} x^{2}\left(593\theta^4+2372\theta^3+3521\theta^2+2298\theta+504\right)+2^{10} 3 x^{3}\left(332\theta^4+1992\theta^3+4194\theta^2+3618\theta+945\right)+2^{14} 3^{2} x^{4}\left(204\theta^4+1632\theta^3+4449\theta^2+4740\theta+1400\right)+2^{18} 3^{3} x^{5}(16\theta^2+80\theta+35)(2\theta+5)^2+2^{21} 3^{4} x^{6}(2\theta+11)(2\theta+7)(2\theta+5)(2\theta+1)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -24, 648, -11520, -123480, ... --> OEIS Normalized instanton numbers (n0=1): 8, 39/2, 3784/3, 51036, 1659840, ... ; Common denominator:...
\((24z+1)(110592z^3+6912z^2+108z+1)(1+32z)^2\)
| ≈\(-0.045368\) | \(-\frac{ 1}{ 24}\) | \(-\frac{ 1}{ 32}\) | ≈\(-0.008566-0.011222I\) | ≈\(-0.008566+0.011222I\) | \(0\) | \(\infty\) |
|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(1\) | \(\frac{ 1}{ 2}\) | \(1\) | \(1\) | \(0\) | \(\frac{ 5}{ 2}\) |
| \(1\) | \(1\) | \(\frac{ 1}{ 2}\) | \(1\) | \(1\) | \(0\) | \(\frac{ 7}{ 2}\) |
| \(2\) | \(2\) | \(1\) | \(2\) | \(2\) | \(0\) | \(\frac{ 11}{ 2}\) |
2
New Number: 7.11 | AESZ: | Superseeker: -8 -3784/3 | Hash: cb1bf6566f9c1a0dbfe98fb55f81944c
Degree: 7
\(\theta^4+2^{2} x\left(23\theta^4-34\theta^3-30\theta^2-13\theta-2\right)+2^{5} x^{2}\left(177\theta^4+108\theta^3+577\theta^2+518\theta+116\right)+2^{10} x^{3}\left(355\theta^4+960\theta^3+1178\theta^2+139\theta-44\right)+2^{15} x^{4}\left(451\theta^4+1228\theta^3+997\theta^2+489\theta+103\right)+2^{20} x^{5}\left(285\theta^4+720\theta^3+766\theta^2+410\theta+83\right)+2^{26} x^{6}(2\theta+1)(20\theta^3+50\theta^2+49\theta+17)+2^{31} x^{7}(2\theta+1)(\theta+1)^2(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 8, -120, -4480, 55720, ... --> OEIS Normalized instanton numbers (n0=1): -8, 43/2, -3784/3, 51036, -1659840, ... ; Common denominator:...
\((8z+1)(32768z^3+3072z^2-12z+1)(32z+1)^3\)
| \(-\frac{ 1}{ 8}\) | ≈\(-0.100423\) | \(-\frac{ 1}{ 32}\) | \(0\) | ≈\(0.003336-0.01711I\) | ≈\(0.003336+0.01711I\) | \(\infty\) |
|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(1\) | \(2\) | \(0\) | \(1\) | \(1\) | \(1\) |
| \(1\) | \(1\) | \(3\) | \(0\) | \(1\) | \(1\) | \(1\) |
| \(2\) | \(2\) | \(5\) | \(0\) | \(2\) | \(2\) | \(\frac{ 3}{ 2}\) |