1
New Number: 4.46 | AESZ: 237 | Superseeker: 208 1218192 | Hash: 52c18dd4477f6548dd3b185e97b94c20
Degree: 4
\(\theta^4-2^{4} x\left(46\theta^4+128\theta^3+91\theta^2+27\theta+3\right)-2^{9} 3 x^{2}\left(74\theta^4-16\theta^3-231\theta^2-127\theta-20\right)+2^{14} 3^{2} x^{3}\left(14\theta^4+216\theta^3+175\theta^2+51\theta+5\right)+2^{19} 3^{3} x^{4}(3\theta+1)(2\theta+1)^2(3\theta+2)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 48, 12240, 4972800, 2489533200, ... --> OEIS Normalized instanton numbers (n0=1): 208, 5874, 1218192, 220754467, 56417503216, ... ; Common denominator:...
\((864z-1)(64z-1)(1+96z)^2\)
| \(-\frac{ 1}{ 96}\) | \(0\) | \(\frac{ 1}{ 864}\) | \(\frac{ 1}{ 64}\) | \(\infty\) |
|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 3}\) |
| \(1\) | \(0\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(3\) | \(0\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(4\) | \(0\) | \(2\) | \(2\) | \(\frac{ 2}{ 3}\) |
2
New Number: 8.27 | AESZ: 302 | Superseeker: 109/5 16777/5 | Hash: e18ddbe4d66a3648b349130bcf119dc7
Degree: 8
\(5^{2} \theta^4-5 x\left(1307\theta^4+1798\theta^3+1429\theta^2+530\theta+80\right)+2^{4} x^{2}\left(36361\theta^4+75163\theta^3+80666\theta^2+43340\theta+9120\right)-2^{6} x^{3}\left(434831\theta^4+949176\theta^3+966865\theta^2+545700\theta+118340\right)+2^{11} x^{4}\left(407863\theta^4+845480\theta^3+654048\theta^2+219839\theta+18634\right)-2^{16} x^{5}\left(245714\theta^4+474860\theta^3+365378\theta^2+71595\theta-11507\right)+2^{21} x^{6}\left(90362\theta^4+153828\theta^3+121478\theta^2+35967\theta+2221\right)-2^{26} 11 x^{7}\left(1517\theta^4+2932\theta^3+2087\theta^2+621\theta+59\right)-2^{31} 11^{2} x^{8}\left((\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 16, 664, 41920, 3350776, ... --> OEIS Normalized instanton numbers (n0=1): 109/5, 867/4, 16777/5, 662976/5, 26339071/5, ... ; Common denominator:...
\(-(-1+143z+32z^2)(32z-1)^2(2816z^2-136z+5)^2\)
| \(-\frac{ 143}{ 64}-\frac{ 19}{ 64}\sqrt{ 57}\) | \(0\) | \(-\frac{ 143}{ 64}+\frac{ 19}{ 64}\sqrt{ 57}\) | \(\frac{ 17}{ 704}-\frac{ 1}{ 704}\sqrt{ 591}I\) | \(\frac{ 17}{ 704}+\frac{ 1}{ 704}\sqrt{ 591}I\) | \(\frac{ 1}{ 32}\) | \(\infty\) |
|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) | \(1\) |
| \(1\) | \(0\) | \(1\) | \(3\) | \(3\) | \(\frac{ 1}{ 2}\) | \(1\) |
| \(2\) | \(0\) | \(2\) | \(4\) | \(4\) | \(1\) | \(1\) |
3
New Number: 1.7 | AESZ: 7 | Superseeker: 14752 711860273440 | Hash: b899892fb606c7eeb86a2cc55f92d6f2
Degree: 1
\(\theta^4-2^{4} x(8\theta+1)(8\theta+3)(8\theta+5)(8\theta+7)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 1680, 32432400, 999456057600, 37905932634570000, ... --> OEIS Normalized instanton numbers (n0=1): 14752, 64417456, 711860273440, 11596528012396656, 233938237312624658400, ... ; Common denominator:...
\(1-65536z\)
| \(0\) | \(\frac{ 1}{ 65536}\) | \(\infty\) |
|---|---|---|
| \(0\) | \(0\) | \(\frac{ 1}{ 8}\) |
| \(0\) | \(1\) | \(\frac{ 3}{ 8}\) |
| \(0\) | \(1\) | \(\frac{ 5}{ 8}\) |
| \(0\) | \(2\) | \(\frac{ 7}{ 8}\) |