1
New Number: 11.14 | AESZ: | Superseeker: 10 13958/9 | Hash: 0a4e6572e1bb29d996fd62dc404c2446
Degree: 11
\(3^{6} \theta^4-3^{6} x\left(111\theta^4+180\theta^3+140\theta^2+50\theta+7\right)+3^{3} x^{2}\left(31925\theta^4+11480\theta^3-42466\theta^2-34182\theta-7560\right)+3^{3} x^{3}\left(4877\theta^4+370644\theta^3+409430\theta^2+199476\theta+42297\right)-2 x^{4}\left(10348339\theta^4+26540048\theta^3+42009388\theta^2+29955528\theta+7880058\right)+2 x^{5}\left(9831565\theta^4+67438924\theta^3+143690304\theta^2+116711926\theta+33599143\right)+2 x^{6}\left(14540887\theta^4-5897448\theta^3-129216202\theta^2-158647410\theta-56400514\right)-2 x^{7}\left(20947985\theta^4+93882580\theta^3+71337738\theta^2-9343940\theta-17269525\right)+x^{8}\left(1325117\theta^4+114002144\theta^3+209338120\theta^2+141064960\theta+32960772\right)+3^{4} x^{9}\left(254941\theta^4+471612\theta^3+445052\theta^2+300870\theta+101457\right)-3^{8} x^{10}\left(1621\theta^4+5816\theta^3+8326\theta^2+5418\theta+1332\right)+3^{13} x^{11}\left((\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 7, 231, 11185, 654199, ... --> OEIS Normalized instanton numbers (n0=1): 10, 2591/27, 13958/9, 1037839/27, 3535478/3, ... ; Common denominator:...
\((z-1)(243z^4-520z^3+310z^2+96z-1)(27-189z-143z^2+81z^3)^2\)
| ≈\(-0.97581\) | \(0\) | ≈\(0.130861\) | \(1\) | ≈\(2.610381\) | \(#ND+#NDI\) | \(\infty\) |
|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(3\) | \(0\) | \(3\) | \(1\) | \(3\) | \(1\) | \(1\) |
| \(4\) | \(0\) | \(4\) | \(2\) | \(4\) | \(2\) | \(1\) |
2
New Number: 24.3 | AESZ: | Superseeker: 52/5 5899/5 | Hash: d0e287eaa4fef980c189e2ff531cfe15
Degree: 24
\(5^{2} \theta^4-5 x\left(491\theta^4+934\theta^3+722\theta^2+255\theta+35\right)+x^{2}\left(7159\theta^4+6232\theta^3-12151\theta^2-20470\theta-7105\right)+x^{3}\left(18758\theta^4+85536\theta^3+125256\theta^2+44940\theta+9625\right)+x^{4}\left(107306\theta^4-465824\theta^3-1781630\theta^2-1509010\theta-420741\right)-x^{5}\left(740094\theta^4-1297608\theta^3-5441440\theta^2+261976\theta+1419015\right)-x^{6}\left(425070\theta^4+2630928\theta^3-1828778\theta^2-9227454\theta-5729271\right)+x^{7}\left(2418550\theta^4+20716304\theta^3-31322144\theta^2-45688692\theta-18761303\right)+x^{8}\left(12130172\theta^4-80918752\theta^3+123192250\theta^2+111390334\theta+20525227\right)-x^{9}\left(17292844\theta^4-87187836\theta^3+258415980\theta^2+122394558\theta-28117691\right)-x^{10}\left(77350272\theta^4-52258560\theta^3-209801740\theta^2+35556398\theta+112842235\right)+x^{11}\left(169708186\theta^4-275075696\theta^3-61487240\theta^2+173105868\theta+132064403\right)+x^{12}\left(10381942\theta^4+721961664\theta^3+662207782\theta^2+449099274\theta+145105369\right)-x^{13}\left(297104050\theta^4+976538840\theta^3+1274259392\theta^2+987704752\theta+327432741\right)+x^{14}\left(221581518\theta^4+18861264\theta^3-741766394\theta^2-1393177990\theta-797694603\right)+x^{15}\left(114705522\theta^4+1320217008\theta^3+3568249520\theta^2+4492131828\theta+2173936059\right)-x^{16}\left(224356709\theta^4+1230081376\theta^3+2802678530\theta^2+3051898566\theta+1307246399\right)+x^{17}\left(65530931\theta^4+95408210\theta^3-252661082\theta^2-914043647\theta-686884832\right)+x^{18}\left(56745577\theta^4+512911848\theta^3+1706476923\theta^2+2593842540\theta+1461946064\right)-2^{3} x^{19}\left(5403673\theta^4+39411950\theta^3+129809978\theta^2+200689723\theta+116245602\right)+2^{4} x^{20}\left(169515\theta^4+1407570\theta^3+7987370\theta^2+18253981\theta+13483356\right)+2^{6} x^{21}\left(97217\theta^4+692142\theta^3+1820686\theta^2+1961919\theta+708018\right)-2^{6} 3 x^{22}\left(8565\theta^4+73588\theta^3+231589\theta^2+312066\theta+153136\right)-2^{9} 3^{2} x^{23}\left(51\theta^4+242\theta^3+354\theta^2+101\theta-88\right)+2^{12} 3^{3} x^{24}\left((\theta+2)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 7, 231, 10787, 606497, ... --> OEIS Normalized instanton numbers (n0=1): 52/5, 677/10, 5899/5, 273031/10, 3873518/5, ... ; Common denominator:...
\((z-1)(z^2+z-1)(64z^6-328z^5+603z^4-336z^3-82z^2+96z-1)(z+1)^2(8z^5+8z^4-37z^3+47z^2+17z+5)^2(3z-1)^3\)
No data for singularities