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New Number: 8.76 | AESZ: | Superseeker: -204 66054580/3 | Hash: a1b606169a188129e64002b152d24330
Degree: 8
\(\theta^4+2^{2} 3 x\left(444\theta^4+744\theta^3+697\theta^2+325\theta+62\right)+2^{7} 3^{2} x^{2}\left(10116\theta^4+27720\theta^3+38031\theta^2+24393\theta+5891\right)+2^{12} 3^{4} x^{3}\left(45468\theta^4+131544\theta^3+190749\theta^2+142371\theta+37390\right)+2^{17} 3^{6} x^{4}\left(148068\theta^4+401112\theta^3+412641\theta^2+216243\theta+39599\right)+2^{23} 3^{9} x^{5}\left(58320\theta^4+161352\theta^3+168390\theta^2+50175\theta-1409\right)+2^{29} 3^{12} x^{6}\left(16200\theta^4+40824\theta^3+53397\theta^2+29754\theta+6131\right)+2^{35} 3^{17} x^{7}\left(360\theta^4+936\theta^3+1038\theta^2+558\theta+119\right)+2^{43} 3^{20} x^{8}(\theta+1)^2(3\theta+2)(3\theta+4)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -744, 843624, -1099121280, 1536242069160, ... --> OEIS Normalized instanton numbers (n0=1): -204, 6654, 66054580/3, 6573546582, 118182295200, ... ; Common denominator:...
\((432z+1)(864z+1)(1728z+1)^2(497664z^2+288z+1)^2\)
| \(-\frac{ 1}{ 432}\) | \(-\frac{ 1}{ 864}\) | \(-\frac{ 1}{ 1728}\) | \(-\frac{ 1}{ 3456}-\frac{ 1}{ 3456}\sqrt{ 23}I\) | \(-\frac{ 1}{ 3456}+\frac{ 1}{ 3456}\sqrt{ 23}I\) | \(0\) | \(\infty\) |
|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 2}{ 3}\) |
| \(1\) | \(1\) | \(-\frac{ 1}{ 6}\) | \(1\) | \(1\) | \(0\) | \(1\) |
| \(1\) | \(1\) | \(1\) | \(3\) | \(3\) | \(0\) | \(1\) |
| \(2\) | \(2\) | \(\frac{ 7}{ 6}\) | \(4\) | \(4\) | \(0\) | \(\frac{ 4}{ 3}\) |