1
New Number: 5.15 | AESZ: 117 | Superseeker: -52/3 -17428 | Hash: 111a4ce3248a309bf6283916fd9f11c4
Degree: 5
\(3^{2} \theta^4+2^{2} 3 x\left(256\theta^4+176\theta^3+133\theta^2+45\theta+6\right)+2^{7} x^{2}\left(2588\theta^4+1952\theta^3+584\theta^2+15\theta-15\right)+2^{12} x^{3}\left(3183\theta^4+2466\theta^3+1801\theta^2+711\theta+111\right)+2^{17} 7 x^{4}\left(134\theta^4+250\theta^3+180\theta^2+55\theta+5\right)-2^{22} 7^{2} x^{5}\left((\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -8, 424, -36224, 3778216, ... --> OEIS Normalized instanton numbers (n0=1): -52/3, 1348/3, -17428, 884000, -163422880/3, ... ; Common denominator:...
\(-(16z+1)(256z^2-176z-1)(3+224z)^2\)
| \(-\frac{ 1}{ 16}\) | \(-\frac{ 3}{ 224}\) | \(\frac{ 11}{ 32}-\frac{ 5}{ 32}\sqrt{ 5}\) | \(0\) | \(\frac{ 11}{ 32}+\frac{ 5}{ 32}\sqrt{ 5}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(1\) | \(1\) | \(0\) | \(1\) | \(1\) |
| \(1\) | \(3\) | \(1\) | \(0\) | \(1\) | \(1\) |
| \(2\) | \(4\) | \(2\) | \(0\) | \(2\) | \(1\) |
2
New Number: 8.66 | AESZ: | Superseeker: 4 12332 | Hash: d941d8e5d41f2e7285be47b4fbc81023
Degree: 8
\(\theta^4-2^{2} x\left(12\theta^4-24\theta^3-23\theta^2-11\theta-2\right)-2^{7} x^{2}\left(32\theta^4+392\theta^3+484\theta^2+223\theta+41\right)+2^{12} x^{3}\left(31\theta^4-30\theta^3-872\theta^2-801\theta-217\right)-2^{16} 3 x^{4}\left(140\theta^4+60\theta^3-1332\theta^2-971\theta-231\right)-2^{20} x^{5}\left(772\theta^4+7960\theta^3+7483\theta^2+1509\theta-266\right)+2^{26} x^{6}\left(46\theta^4+2766\theta^3+2333\theta^2+672\theta+19\right)-2^{30} 5 x^{7}\left(477\theta^4+930\theta^3+697\theta^2+232\theta+28\right)-2^{36} 5^{2} x^{8}\left((\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -8, 424, -6272, 859816, ... --> OEIS Normalized instanton numbers (n0=1): 4, 500, 12332, 358180, 15491360, ... ; Common denominator:...
\(-(64z+1)(4096z^3+6144z^2+48z-1)(1-32z+2560z^2)^2\)
| ≈\(-1.492036\) | ≈\(-0.017379\) | \(-\frac{ 1}{ 64}\) | \(0\) | \(\frac{ 1}{ 160}-\frac{ 3}{ 160}I\) | \(\frac{ 1}{ 160}+\frac{ 3}{ 160}I\) | ≈\(0.009415\) | \(\infty\) |
|---|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(1\) | \(1\) | \(1\) | \(0\) | \(3\) | \(3\) | \(1\) | \(1\) |
| \(2\) | \(2\) | \(2\) | \(0\) | \(4\) | \(4\) | \(2\) | \(1\) |