1
New Number: 11.16 | AESZ: | Superseeker: 211/35 19279/35 | Hash: dc993c4f73af62a0915341e2b6d1f81f
Degree: 11
\(5^{2} 7^{2} \theta^4-5 7 x\left(2658\theta^4+4272\theta^3+3361\theta^2+1225\theta+175\right)-x^{2}\left(482475+2058700\theta+2927049\theta^2+1102432\theta^3-364211\theta^4\right)+x^{3}\left(1107645+7584675\theta+17848802\theta^2+16891206\theta^3+3547267\theta^4\right)-x^{4}\left(5628891+26546780\theta+46592338\theta^2+38194636\theta^3+16110878\theta^4\right)-3 x^{5}\left(2019469\theta^4+2698822\theta^3+453746\theta^2+985337\theta+832575\right)+3^{2} x^{6}\left(3186847\theta^4+10570488\theta^3+13101727\theta^2+7620366\theta+1780951\right)+3^{3} x^{7}\left(515831\theta^4+2708278\theta^3+5879206\theta^2+4986803\theta+1463799\right)-3^{4} x^{8}\left(94081\theta^4+60208\theta^3-440794\theta^2-635338\theta-240009\right)-3^{6} x^{9}\left(4919\theta^4+23958\theta^3+26539\theta^2+8334\theta-480\right)+2 3^{6} x^{10}\left(392\theta^4-674\theta^3-2747\theta^2-2410\theta-663\right)+2^{2} 3^{10} x^{11}\left((\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 5, 129, 4523, 191329, ... --> OEIS Normalized instanton numbers (n0=1): 211/35, 1643/35, 19279/35, 69901/7, 7789913/35, ... ; Common denominator:...
\((1-66z-379z^2+427z^3+439z^4+81z^5)(35-174z-81z^2+54z^3)^2\)
| ≈\(-1.31797\) | \(0\) | ≈\(0.186913\) | ≈\(2.631057\) | \(#ND+#NDI\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(3\) | \(0\) | \(3\) | \(3\) | \(1\) | \(1\) |
| \(4\) | \(0\) | \(4\) | \(4\) | \(2\) | \(1\) |
2
New Number: 14.5 | AESZ: | Superseeker: 211/35 19279/35 | Hash: f3806aa0de676048470ecaa401cb173e
Degree: 14
\(5^{2} 7^{2} \theta^4-5 7 x\theta(208\theta^3+2522\theta^2+1611\theta+350)-x^{2}\left(2895864\theta^4+10743882\theta^3+13787199\theta^2+8373750\theta+2038400\right)-x^{3}\left(100271073\theta^4+431892504\theta^3+723680933\theta^2+561181425\theta+170041830\right)-x^{4}\left(1779494918\theta^4+9127622236\theta^3+18290497093\theta^2+16539531755\theta+5684071466\right)-x^{5}\left(19827182682\theta^4+119162684736\theta^3+274771737213\theta^2+279000299901\theta+104851723790\right)-x^{6}\left(149204258817\theta^4+1032818408748\theta^3+2681116117542\theta^2+2993600486151\theta+1206564891326\right)-x^{7}\left(778822250193\theta^4+6126161719824\theta^3+17659178255613\theta^2+21402250647384\theta+9142529120612\right)-x^{8}\left(2812797944541\theta^4+24913922595768\theta^3+79078287326181\theta^2+103186060627602\theta+46367068712696\right)-2 x^{9}\left(3396806566178\theta^4+33765210209691\theta^3+117624369015258\theta^2+164571138801333\theta+77449742958250\right)-x^{10}\left(10000008656989\theta^4+112554410392382\theta^3+432872666762301\theta^2+650564904626120\theta+320443815723404\right)-2^{2} 3 x^{11}(\theta+1)(551266200382\theta^3+6974826522501\theta^2+26399880418886\theta+28678364691672)+2^{2} 5 x^{12}(\theta+1)(\theta+2)(92480406417\theta^2+96008519961\theta-1687668183707)+2^{3} 5^{2} 163 x^{13}(\theta+3)(\theta+2)(\theta+1)(106246927\theta+649964324)-2^{2} 3^{3} 5^{3} 163^{2} 2687 x^{14}(\theta+1)(\theta+2)(\theta+3)(\theta+4)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 0, 104, 2838, 118344, ... --> OEIS Normalized instanton numbers (n0=1): 211/35, 1643/35, 19279/35, 69901/7, 7789913/35, ... ; Common denominator:...
\(-(-1+41z+1449z^2+13908z^3+53591z^4+72549z^5)(326z^3-804z^2-351z-35)^2(5z+1)^3\)
| ≈\(-0.216454\) | \(-\frac{ 1}{ 5}\) | ≈\(-0.173649\) | \(0\) | ≈\(2.85636\) | \(#ND+#NDI\) | \(\infty\) |
|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(0\) | \(1\) | \(0\) | \(1\) | \(1\) | \(2\) |
| \(3\) | \(0\) | \(3\) | \(0\) | \(3\) | \(1\) | \(3\) |
| \(4\) | \(0\) | \(4\) | \(0\) | \(4\) | \(2\) | \(4\) |