1
New Number: 3.20 | AESZ: 390 | Superseeker: 19 4455 | Hash: cd8ca8746f3610e70893770a090533f9
Degree: 3
\(\theta^4-x\left(561\theta^4+1122\theta^3+975\theta^2+414\theta+70\right)+2^{2} 7^{2} x^{2}(\theta+1)^2(534\theta^2+1068\theta+433)-2^{2} 7^{4} 13^{2} x^{3}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 70, 8442, 1192660, 182057050, ... --> OEIS Normalized instanton numbers (n0=1): 19, -276, 4455, -104648, 2969383, ... ; Common denominator:...
\(-(169z-1)(-1+196z)^2\)
| \(0\) | \(\frac{ 1}{ 196}\) | \(\frac{ 1}{ 169}\) | \(\infty\) |
|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(\frac{ 1}{ 6}\) | \(1\) | \(1\) |
| \(0\) | \(\frac{ 5}{ 6}\) | \(1\) | \(2\) |
| \(0\) | \(1\) | \(2\) | \(\frac{ 5}{ 2}\) |
2
New Number: 5.122 | AESZ: | Superseeker: 19 18641/3 | Hash: 7cc1a0411f21ffd93f1a9f6468627432
Degree: 5
\(\theta^4+x\left(119\theta^4-194\theta^3-143\theta^2-46\theta-6\right)-2^{2} 3^{2} x^{2}\left(46\theta^4+748\theta^3+379\theta^2+150\theta+27\right)-2^{2} 3^{4} x^{3}\left(2164\theta^4+6264\theta^3+7421\theta^2+4131\theta+846\right)-2^{5} 3^{8} x^{4}(2\theta+1)(76\theta^3+222\theta^2+235\theta+85)-2^{8} 3^{12} x^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 6, 162, 7620, 334530, ... --> OEIS Normalized instanton numbers (n0=1): 19, -170, 18641/3, -163734, 6446745, ... ; Common denominator:...
\(-(81z-1)(1296z^2+56z+1)(1+72z)^2\)
| \(-\frac{ 7}{ 324}-\frac{ 1}{ 81}\sqrt{ 2}I\) | \(-\frac{ 7}{ 324}+\frac{ 1}{ 81}\sqrt{ 2}I\) | \(-\frac{ 1}{ 72}\) | \(0\) | \(\frac{ 1}{ 81}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(1\) | \(1\) | \(0\) | \(1\) | \(1\) |
| \(1\) | \(1\) | \(3\) | \(0\) | \(1\) | \(1\) |
| \(2\) | \(2\) | \(4\) | \(0\) | \(2\) | \(\frac{ 3}{ 2}\) |
3
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:...
\(-(z-1)(8z+1)(100z-1)(4z-1)(1+32z)^2\)
| \(-\frac{ 1}{ 8}\) | \(-\frac{ 1}{ 32}\) | \(0\) | \(\frac{ 1}{ 100}\) | \(\frac{ 1}{ 4}\) | \(1\) | \(\infty\) |
|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(1\) | \(3\) | \(0\) | \(1\) | \(1\) | \(1\) | \(2\) |
| \(2\) | \(4\) | \(0\) | \(2\) | \(2\) | \(2\) | \(2\) |