1
New Number: 5.45 | AESZ: 242 | Superseeker: -18 1568/3 | Hash: 562c18d54c0080ebb0bb01b14a8241ce
Degree: 5
\(\theta^4+2 3 x\left(72\theta^4+108\theta^3+91\theta^2+37\theta+6\right)+2^{2} 3^{3} x^{2}\left(648\theta^4+1800\theta^3+2211\theta^2+1248\theta+260\right)+2^{4} 3^{5} x^{3}\left(1344\theta^4+4968\theta^3+7320\theta^2+4749\theta+1072\right)+2^{6} 3^{7} x^{4}(2\theta+1)(630\theta^3+2241\theta^2+2617\theta+971)+2^{8} 3^{10} x^{5}(2\theta+1)(6\theta+5)(6\theta+7)(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -36, 2484, -208080, 19221300, ... --> OEIS Normalized instanton numbers (n0=1): -18, 99/2, 1568/3, 22698, -165960, ... ; Common denominator:...
\((1+144z)(36z+1)^2(108z+1)^2\)
| \(-\frac{ 1}{ 36}\) | \(-\frac{ 1}{ 108}\) | \(-\frac{ 1}{ 144}\) | \(0\) | \(\infty\) |
|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(\frac{ 1}{ 2}\) | \(1\) | \(0\) | \(\frac{ 5}{ 6}\) |
| \(3\) | \(\frac{ 1}{ 2}\) | \(1\) | \(0\) | \(\frac{ 7}{ 6}\) |
| \(4\) | \(1\) | \(2\) | \(0\) | \(\frac{ 3}{ 2}\) |
2
New Number: 6.12 | AESZ: | Superseeker: 19 2263 | Hash: 86993fb7955dee498aab7e103a0f457e
Degree: 6
\(\theta^4-x\left(33\theta^4+258\theta^3+199\theta^2+70\theta+10\right)-2^{2} x^{2}\left(1380\theta^4+2400\theta^3-173\theta^2-634\theta-185\right)-2^{4} x^{3}\left(7325\theta^4+2670\theta^3-668\theta^2-1035\theta-290\right)-2^{7} x^{4}\left(897\theta^4-3504\theta^3-10058\theta^2-8492\theta-2435\right)+2^{12} x^{5}(\theta+1)^2(858\theta^2+1566\theta+745)-2^{17} 5^{2} x^{6}(\theta+1)^2(\theta+2)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, 10, 310, 14860, 869590, ... --> OEIS Normalized instanton numbers (n0=1): 19, -18, 2263, 4184, 1097345, ... ; Common denominator:...
\(-(z-1)(8z+1)(100z-1)(4z-1)(1+32z)^2\)
| \(-\frac{ 1}{ 8}\) | \(-\frac{ 1}{ 32}\) | \(0\) | \(\frac{ 1}{ 100}\) | \(\frac{ 1}{ 4}\) | \(1\) | \(\infty\) |
|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(1\) | \(3\) | \(0\) | \(1\) | \(1\) | \(1\) | \(2\) |
| \(2\) | \(4\) | \(0\) | \(2\) | \(2\) | \(2\) | \(2\) |