1
New Number: 4.6 | AESZ: | Superseeker: -28 1036 | Hash: e42780ff25b428328423d5eea814a37a
Degree: 4
\(\theta^4-2^{2} x\left(176\theta^4+352\theta^3+427\theta^2+251\theta+57\right)+2^{4} x^{2}\left(11744\theta^4+46976\theta^3+84756\theta^2+75560\theta+27275\right)-2^{8} 5^{3} x^{3}(176\theta^2+528\theta+537)(2\theta+3)^2+2^{14} 5^{6} x^{4}(\theta+2)^2(2\theta+3)(2\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 228, 44716, 8258768, 1469227500, ... --> OEIS Normalized instanton numbers (n0=1): -28, -21, 1036, 53976, 1260496, ... ; Common denominator:...
\((1-352z+32000z^2)^2\)
| \(0\) | \(s_1\) | \(s_2\) | \(\frac{ 11}{ 2000}-\frac{ 1}{ 1000}I\) | \(\frac{ 11}{ 2000}+\frac{ 1}{ 1000}I\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(-\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 2}\) | \(0\) | \(0\) | \(\frac{ 3}{ 2}\) |
| \(0\) | \(0\) | \(0\) | \(-\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 2}\) | \(2\) |
| \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(2\) |
| \(0\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 5}{ 2}\) |
2
New Number: 5.72 | AESZ: 291 | Superseeker: -28 -37768 | Hash: cbc8242a8fecc72056e6e36b4864b868
Degree: 5
\(\theta^4-x\left(566\theta^4+34\theta^3+62\theta^2+45\theta+9\right)+3 x^{2}\left(39370\theta^4+17302\theta^3+22493\theta^2+8369\theta+1140\right)-3^{2} x^{3}\left(1215215\theta^4+1432728\theta^3+1274122\theta^2+538245\theta+93222\right)+3^{7} 61 x^{4}\left(3029\theta^4+6544\theta^3+6135\theta^2+2863\theta+548\right)-3^{12} 61^{2} x^{5}\left((\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 9, 189, 3375, -159651, ... --> OEIS Normalized instanton numbers (n0=1): -28, -809, -37768, -2185213, -143204777, ... ; Common denominator:...
\(-(59049z^3-11421z^2+200z-1)(-1+183z)^2\)
| \(0\) | \(\frac{ 1}{ 183}\) | ≈\(0.009423-0.002866I\) | ≈\(0.009423+0.002866I\) | ≈\(0.174569\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(0\) | \(3\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(0\) | \(4\) | \(2\) | \(2\) | \(2\) | \(1\) |