1
New Number: 5.67 | AESZ: 275 | Superseeker: 116/5 186172/5 | Hash: f411d346afd4b8ff14b8b4c1836bae77
Degree: 5
\(5^{2} \theta^4-2^{2} 5 x\left(592\theta^4+1568\theta^3+1419\theta^2+635\theta+115\right)+2^{4} x^{2}\left(65536\theta^4+514048\theta^3+902816\theta^2+598400\theta+144735\right)+2^{10} x^{3}\left(106496\theta^4+122880\theta^3-594816\theta^2-794880\theta-265065\right)-2^{19} x^{4}\left(8192\theta^4+77824\theta^3+145728\theta^2+102016\theta+24527\right)-2^{26} x^{5}(8\theta+5)(8\theta+7)(8\theta+9)(8\theta+11)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 92, 14124, 2572400, 510577900, ... --> OEIS Normalized instanton numbers (n0=1): 116/5, -5993/5, 186172/5, -8039756/5, 384321296/5, ... ; Common denominator:...
\(-(-1+64z)(256z+5)^2(256z-1)^2\)
| \(-\frac{ 5}{ 256}\) | \(0\) | \(\frac{ 1}{ 256}\) | \(\frac{ 1}{ 64}\) | \(\infty\) |
|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 5}{ 8}\) |
| \(1\) | \(0\) | \(0\) | \(1\) | \(\frac{ 7}{ 8}\) |
| \(3\) | \(0\) | \(1\) | \(1\) | \(\frac{ 9}{ 8}\) |
| \(4\) | \(0\) | \(1\) | \(2\) | \(\frac{ 11}{ 8}\) |
2
New Number: 11.4 | AESZ: | Superseeker: 116/5 29628/5 | Hash: 4222cdacde3dbaf06ed32adadb70f0d6
Degree: 11
\(5^{2} \theta^4-2^{2} 5 x\left(197\theta^4+418\theta^3+319\theta^2+110\theta+15\right)+2^{4} x^{2}\left(181\theta^4+5068\theta^3+10291\theta^2+6750\theta+1585\right)-2^{6} x^{3}\left(1727\theta^4-4758\theta^3-11365\theta^2-4560\theta-345\right)+2^{9} x^{4}\left(2351\theta^4+4552\theta^3-11125\theta^2-12552\theta-3833\right)-2^{12} x^{5}\left(527\theta^4+1448\theta^3+16\theta^2-1811\theta-887\right)+2^{15} x^{6}\left(493\theta^4-1527\theta^3-789\theta^2-363\theta-116\right)-2^{17} x^{7}\left(780\theta^4-282\theta^3+865\theta^2+1459\theta+563\right)+2^{20} x^{8}\left(151\theta^4-104\theta^3-291\theta^2-239\theta-65\right)-2^{22} x^{9}\left(23\theta^4+24\theta^3+85\theta^2+132\theta+55\right)+2^{25} x^{10}(\theta+1)(7\theta^3+31\theta^2+35\theta+12)-2^{28} x^{11}\left((\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 12, 572, 42960, 3944556, ... --> OEIS Normalized instanton numbers (n0=1): 116/5, 1059/5, 29628/5, 2227181/10, 51562768/5, ... ; Common denominator:...
\(-(-1+156z+160z^2+256z^3)(4z-1)^2(256z^3-128z^2-16z-5)^2\)
| ≈\(-0.315684-0.716756I\) | ≈\(-0.315684+0.716756I\) | ≈\(-0.072055-0.158527I\) | ≈\(-0.072055+0.158527I\) | \(0\) | ≈\(0.006368\) | \(\frac{ 1}{ 4}\) | ≈\(0.64411\) | \(\infty\) |
|---|---|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(1\) | \(1\) | \(1\) | \(0\) | \(1\) | \(\frac{ 1}{ 2}\) | \(1\) | \(1\) |
| \(1\) | \(1\) | \(3\) | \(3\) | \(0\) | \(1\) | \(\frac{ 1}{ 2}\) | \(3\) | \(1\) |
| \(2\) | \(2\) | \(4\) | \(4\) | \(0\) | \(2\) | \(1\) | \(4\) | \(1\) |