1
New Number: 12.10 | AESZ: | Superseeker: 224 4999008 | Hash: d0e84951fc25cf38a32ec7fba5893d59
Degree: 12
\(\theta^4+2^{4} x\left(160\theta^4+32\theta^3+56\theta^2+40\theta+9\right)+2^{13} x^{2}\left(328\theta^4+304\theta^3+442\theta^2+240\theta+57\right)+2^{22} x^{3}\left(416\theta^4+696\theta^3+939\theta^2+738\theta+225\right)+2^{28} 3 x^{4}\left(1120\theta^4+1856\theta^3+3196\theta^2+2832\theta+959\right)+2^{39} 3^{2} x^{5}\left(76\theta^4+128\theta^3+168\theta^2+168\theta+61\right)+2^{45} 3 x^{6}\left(1232\theta^4+2160\theta^3+2420\theta^2+1344\theta+273\right)+2^{54} 3 x^{7}\left(696\theta^4+1272\theta^3+1781\theta^2+554\theta-109\right)+2^{60} 3 x^{8}\left(2608\theta^4+4960\theta^3+8764\theta^2+4440\theta+423\right)+2^{68} 5 x^{9}\left(1216\theta^4+2592\theta^3+4596\theta^2+3456\theta+999\right)+2^{76} 5 x^{10}\left(736\theta^4+2048\theta^3+3128\theta^2+2536\theta+867\right)+2^{84} 5^{2} x^{11}\left(64\theta^4+256\theta^3+412\theta^2+312\theta+93\right)+2^{92} 5^{2} x^{12}\left((2\theta+3)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -144, 13584, -80128, -173794032, ... --> OEIS Normalized instanton numbers (n0=1): 224, -22712, 4999008, -855952448, 199163179936, ... ; Common denominator:...
\((256z+1)^2(65536z^2+256z+1)^2(83886080z^3+768z+1)^2\)
\(-\frac{ 1}{ 256}\) | \(-\frac{ 1}{ 512}-\frac{ 1}{ 512}\sqrt{ 3}I\) | \(-\frac{ 1}{ 512}+\frac{ 1}{ 512}\sqrt{ 3}I\) | ≈\(-0.00114\) | \(0\) | ≈\(0.00057-0.003183I\) | ≈\(0.00057+0.003183I\) | \(\infty\) |
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\(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 3}{ 2}\) |
\(\frac{ 1}{ 2}\) | \(\frac{ 1}{ 2}\) | \(\frac{ 1}{ 2}\) | \(1\) | \(0\) | \(1\) | \(1\) | \(\frac{ 3}{ 2}\) |
\(\frac{ 1}{ 2}\) | \(\frac{ 1}{ 2}\) | \(\frac{ 1}{ 2}\) | \(3\) | \(0\) | \(3\) | \(3\) | \(\frac{ 3}{ 2}\) |
\(1\) | \(1\) | \(1\) | \(4\) | \(0\) | \(4\) | \(4\) | \(\frac{ 3}{ 2}\) |