You searched for: Spectrum0=0,1,3,4
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241
New Number: 14.4 | AESZ: | Superseeker: 10 13958/9 | Hash: 0091fcfec3692ae6ced2f585ef96177c
Degree: 14
\(3^{6} \theta^4-3^{6} x\theta(15+70\theta+110\theta^2+13\theta^3)-3^{3} x^{2}\left(120409\theta^4+434560\theta^3+542371\theta^2+323352\theta+78624\right)-3^{3} x^{3}\left(5396953\theta^4+22626666\theta^3+37042425\theta^2+28217556\theta+8482968\right)-2 x^{4}\left(1704421489\theta^4+8538160718\theta^3+16779519205\theta^2+14919147216\theta+5077251288\right)-2^{2} 3 x^{5}\left(4201278867\theta^4+24797778110\theta^3+56302322281\theta^2+56325956066\theta+20967103728\right)-2^{3} x^{6}\left(63154319213\theta^4+432278933514\theta^3+1110085421927\theta^2+1224810967950\theta+489654799596\right)-2^{5} 3 x^{7}\left(36597277323\theta^4+286904817870\theta^3+822690934223\theta^2+989019393562\theta+419959932336\right)-2^{6} x^{8}\left(263122045911\theta^4+2344932626130\theta^3+7455815983415\theta^2+9696396501490\theta+4343347545434\right)-2^{7} 5 x^{9}\left(83257168289\theta^4+843955668354\theta^3+2974370084181\theta^2+4174636770342\theta+1965917099796\right)-2^{9} 5 x^{10}\left(38447331387\theta^4+453440983815\theta^3+1797507529325\theta^2+2740147614260\theta+1358896159983\right)-2^{8} 5^{2} 23 x^{11}(\theta+1)(421574469\theta^3+6597293181\theta^2+28022760832\theta+32033938840)+2^{9} 5^{2} 7 23^{2} x^{12}(\theta+2)(\theta+1)(2012137\theta^2+10160979\theta-151326)+2^{10} 5^{3} 7^{2} 23^{3} x^{13}(1525\theta+10484)(\theta+3)(\theta+2)(\theta+1)-2^{11} 3 5^{3} 7^{3} 23^{4} x^{14}(\theta+1)(\theta+2)(\theta+3)(\theta+4)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 0, 182, 7020, 401730, ... --> OEIS Normalized instanton numbers (n0=1): 10, 2591/27, 13958/9, 1037839/27, 3535478/3, ... ; Common denominator:...
\(-(6z+1)(42320z^4+16560z^3+2032z^2+68z-1)(920z^3-1180z^2-378z-27)^2(7z+1)^3\)
| \(-\frac{ 1}{ 6}\) | ≈\(-0.157194\) | ≈\(-0.157194\) | ≈\(-0.151128\) | \(-\frac{ 1}{ 7}\) | ≈\(-0.124614\) | ≈\(-0.087777\) | \(0\) | ≈\(0.010861\) | ≈\(1.55835\) | \(\infty\) |
|---|---|---|---|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(1\) | \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(2\) |
| \(1\) | \(1\) | \(1\) | \(3\) | \(0\) | \(3\) | \(1\) | \(0\) | \(1\) | \(3\) | \(3\) |
| \(2\) | \(2\) | \(2\) | \(4\) | \(0\) | \(4\) | \(2\) | \(0\) | \(2\) | \(4\) | \(4\) |
242
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:...
\(-(-1+41z+1449z^2+13908z^3+53591z^4+72549z^5)(326z^3-804z^2-351z-35)^2(5z+1)^3\)
| ≈\(-0.216454\) | \(-\frac{ 1}{ 5}\) | ≈\(-0.173649\) | \(0\) | ≈\(2.85636\) | \(#ND+#NDI\) | \(\infty\) |
|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(0\) | \(1\) | \(0\) | \(1\) | \(1\) | \(2\) |
| \(3\) | \(0\) | \(3\) | \(0\) | \(3\) | \(1\) | \(3\) |
| \(4\) | \(0\) | \(4\) | \(0\) | \(4\) | \(2\) | \(4\) |
243
New Number: 14.6 | AESZ: | Superseeker: 343/26 27836/13 | Hash: b419826ae9a841fd2485cf17a33e3c82
Degree: 14
\(2^{2} 13^{2} \theta^4+2 13 x\theta(374\theta^3-3806\theta^2-2423\theta-520)-3 x^{2}\left(1378165\theta^4+5692942\theta^3+6262109\theta^2+3632408\theta+908544\right)-3 x^{3}\left(109634670\theta^4+414665370\theta^3+585954355\theta^2+424721388\theta+125838648\right)-3^{2} x^{4}\left(1430057388\theta^4+5835126030\theta^3+9693559559\theta^2+7980072398\theta+2602285652\right)-3^{4} x^{5}\left(3973724102\theta^4+18016019762\theta^3+33809871817\theta^2+30548046888\theta+10682005352\right)-3^{5} x^{6}\left(23181342780\theta^4+117157350210\theta^3+242997310916\theta^2+236792965009\theta+87556639706\right)-3^{6} x^{7}\left(98661453307\theta^4+553704139946\theta^3+1252095727942\theta^2+1301834765069\theta+504487460698\right)-3^{7} x^{8}\left(312059119661\theta^4+1933538622170\theta^3+4722871403800\theta^2+5200539067181\theta+2098928967026\right)-3^{7} x^{9}\left(2207453009832\theta^4+15008943280014\theta^3+39332490555167\theta^2+45616623444051\theta+19085482478826\right)-3^{8} x^{10}\left(3839323955127\theta^4+28479004361040\theta^3+79653137355055\theta^2+96880903986262\theta+41867518152496\right)-3^{10} x^{11}(\theta+1)(1597618239529\theta^3+11261457267015\theta^2+26962321719782\theta+21625438724040)-3^{12} x^{12}(\theta+1)(\theta+2)(452183900223\theta^2+2573271558279\theta+3747021993116)-2^{4} 3^{16} 109 x^{13}(\theta+3)(\theta+2)(\theta+1)(4973417\theta+16619273)-2^{6} 3^{16} 109^{2} 8167 x^{14}(\theta+1)(\theta+2)(\theta+3)(\theta+4)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 0, 252, 11106, 735660, ... --> OEIS Normalized instanton numbers (n0=1): 343/26, 1358/13, 27836/13, 764852/13, 52338075/26, ... ; Common denominator:...
\(-(661527z^5+290250z^4+47223z^3+3291z^2+71z-1)(23544z^3+7353z^2+759z+26)^2(9z+1)^3\)
| ≈\(-0.126194\) | \(-\frac{ 1}{ 9}\) | ≈\(-0.093057-0.009552I\) | ≈\(-0.093057+0.009552I\) | \(0\) | \(#ND+#NDI\) | \(\infty\) |
|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(0\) | \(1\) | \(1\) | \(0\) | \(1\) | \(2\) |
| \(3\) | \(0\) | \(3\) | \(3\) | \(0\) | \(1\) | \(3\) |
| \(4\) | \(0\) | \(4\) | \(4\) | \(0\) | \(2\) | \(4\) |
244
New Number: 14.7 | AESZ: | Superseeker: 48 3184 | Hash: 9e304ff532f3cfafc29dfac77fdff067
Degree: 14
\(\theta^4-2^{4} x\left(35\theta^4+50\theta^3+49\theta^2+24\theta+5\right)+2^{9} x^{2}\left(255\theta^4+722\theta^3+1027\theta^2+740\theta+227\right)-2^{14} x^{3}\left(1033\theta^4+4298\theta^3+7994\theta^2+7243\theta+2695\right)+2^{19} x^{4}\left(2699\theta^4+13730\theta^3+30984\theta^2+33699\theta+14443\right)-2^{24} x^{5}\left(5407\theta^4+26718\theta^3+63946\theta^2+80619\theta+38786\right)+2^{29} x^{6}\left(10081\theta^4+39658\theta^3+68604\theta^2+85851\theta+43438\right)-2^{34} x^{7}\left(17583\theta^4+63666\theta^3+51252\theta^2-1045\theta-18966\right)+2^{39} x^{8}\left(25019\theta^4+98594\theta^3+101972\theta^2-44371\theta-87630\right)-2^{44} x^{9}\left(29162\theta^4+103060\theta^3+189337\theta^2+75677\theta-39871\right)+2^{49} x^{10}\left(32428\theta^4+78424\theta^3+166293\theta^2+155877\theta+49943\right)-2^{54} x^{11}\left(33248\theta^4+85104\theta^3+119906\theta^2+105882\theta+49279\right)+2^{59} x^{12}\left(24144\theta^4+97280\theta^3+159468\theta^2+125460\theta+41819\right)-2^{67} 5 x^{13}\left(244\theta^4+1456\theta^3+3353\theta^2+3523\theta+1423\right)+2^{75} 5^{2} x^{14}\left((\theta+2)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 80, 5776, 422144, 32579856, ... --> OEIS Normalized instanton numbers (n0=1): 48, 46, 3184, 409910, -3351792, ... ; Common denominator:...
\((16z-1)(32z-1)(4096z^2-192z+1)(163840z^3+1024z^2+32z-1)^2(64z-1)^4\)
| ≈\(-0.009802-0.019I\) | ≈\(-0.009802+0.019I\) | \(0\) | \(\frac{ 3}{ 128}-\frac{ 1}{ 128}\sqrt{ 5}\) | ≈\(0.013353\) | \(\frac{ 1}{ 64}\) | \(\frac{ 1}{ 32}\) | \(\frac{ 3}{ 128}+\frac{ 1}{ 128}\sqrt{ 5}\) | \(\frac{ 1}{ 16}\) | \(\infty\) |
|---|---|---|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(-\frac{ 1}{ 2}\) | \(0\) | \(0\) | \(0\) | \(2\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(-\frac{ 1}{ 2}\) | \(1\) | \(1\) | \(1\) | \(2\) |
| \(3\) | \(3\) | \(0\) | \(1\) | \(3\) | \(\frac{ 1}{ 2}\) | \(1\) | \(1\) | \(1\) | \(2\) |
| \(4\) | \(4\) | \(0\) | \(2\) | \(4\) | \(\frac{ 1}{ 2}\) | \(2\) | \(2\) | \(2\) | \(2\) |
245
New Number: 14.8 | AESZ: | Superseeker: 92/5 -76/5 | Hash: a787adbb87527c14af9a5f2508991317
Degree: 14
\(5^{2} \theta^4-2^{2} 5 x\left(244\theta^4+496\theta^3+473\theta^2+225\theta+45\right)+2^{4} x^{2}\left(24144\theta^4+95872\theta^3+155244\theta^2+117660\theta+36835\right)-2^{9} x^{3}\left(33248\theta^4+180880\theta^3+407234\theta^2+416430\theta+168275\right)+2^{14} x^{4}\left(32428\theta^4+181000\theta^3+474021\theta^2+605903\theta+294817\right)-2^{19} x^{5}\left(29162\theta^4+130236\theta^3+270865\theta^2+378135\theta+208235\right)+2^{24} x^{6}\left(25019\theta^4+101558\theta^3+110864\theta^2+69739\theta+20552\right)-2^{29} x^{7}\left(17583\theta^4+76998\theta^3+91248\theta^2+4717\theta-39868\right)+2^{34} x^{8}\left(10081\theta^4+40990\theta^3+72600\theta^2+35261\theta-9816\right)-2^{39} x^{9}\left(5407\theta^4+16538\theta^3+33406\theta^2+27573\theta+6100\right)+2^{44} x^{10}\left(2699\theta^4+7862\theta^3+13380\theta^2+11845\theta+4325\right)-2^{49} x^{11}\left(1033\theta^4+3966\theta^3+6998\theta^2+6213\theta+2329\right)+2^{54} x^{12}\left(255\theta^4+1318\theta^3+2815\theta^2+2864\theta+1159\right)-2^{59} x^{13}\left(35\theta^4+230\theta^3+589\theta^2+692\theta+313\right)+2^{65} x^{14}\left((\theta+2)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 36, 1196, 41488, 1543916, ... --> OEIS Normalized instanton numbers (n0=1): 92/5, -342/5, -76/5, 75394/5, -2156752/5, ... ; Common denominator:...
\((64z-1)(32z-1)(256z^2-48z+1)(32768z^3-1024z^2-5-32z)^2(16z-1)^4\)
| ≈\(-0.020941-0.040594I\) | ≈\(-0.020941+0.040594I\) | \(0\) | \(\frac{ 1}{ 64}\) | \(\frac{ 3}{ 32}-\frac{ 1}{ 32}\sqrt{ 5}\) | \(\frac{ 1}{ 32}\) | \(\frac{ 1}{ 16}\) | ≈\(0.073133\) | \(\frac{ 3}{ 32}+\frac{ 1}{ 32}\sqrt{ 5}\) | \(\infty\) |
|---|---|---|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(-\frac{ 1}{ 2}\) | \(0\) | \(0\) | \(2\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(-\frac{ 1}{ 2}\) | \(1\) | \(1\) | \(2\) |
| \(3\) | \(3\) | \(0\) | \(1\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) | \(3\) | \(1\) | \(2\) |
| \(4\) | \(4\) | \(0\) | \(2\) | \(2\) | \(2\) | \(\frac{ 1}{ 2}\) | \(4\) | \(2\) | \(2\) |
246
New Number: 14.9 | AESZ: | Superseeker: 44/3 220588/81 | Hash: 32527b63e2e6c7ca027dfb5cb9afac16
Degree: 14
\(3^{2} \theta^4+2^{2} 3 x\left(8\theta^4-128\theta^3-105\theta^2-41\theta-7\right)-2^{4} x^{2}\left(2720\theta^4-64\theta^3-3536\theta^2-680\theta+429\right)+2^{10} x^{3}\left(336\theta^4+3984\theta^3-826\theta^2+468\theta+1051\right)+2^{12} x^{4}\left(16640\theta^4-7232\theta^3+43840\theta^2+45800\theta+15969\right)-2^{18} x^{5}\left(5720\theta^4+6944\theta^3+19273\theta^2+22267\theta+9043\right)-2^{21} x^{6}\left(10216\theta^4+38016\theta^3+103024\theta^2+135096\theta+80559\right)+2^{28} x^{7}\left(2848\theta^4+11072\theta^3+24505\theta^2+27600\theta+12752\right)+2^{29} 3 x^{8}\left(888\theta^4+13312\theta^3+65952\theta^2+133944\theta+103073\right)-2^{34} x^{9}\left(8760\theta^4+63456\theta^3+203405\theta^2+310785\theta+183393\right)+2^{36} x^{10}\left(1024\theta^4-20032\theta^3-232944\theta^2-750136\theta-801269\right)+2^{42} x^{11}\left(3248\theta^4+34160\theta^3+146646\theta^2+293996\theta+228285\right)+2^{44} x^{12}\left(416\theta^4+11328\theta^3+98816\theta^2+340680\theta+408025\right)-2^{50} 5 x^{13}\left(104\theta^4+1408\theta^3+7395\theta^2+17845\theta+16643\right)-2^{56} 5^{2} x^{14}\left((\theta+4)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 28/3, 260, 116240/27, 7153796/81, ... --> OEIS Normalized instanton numbers (n0=1): 44/3, -1421/9, 220588/81, -14752264/243, 1138508000/729, ... ; Common denominator:...
\(-(1+16z)(16z+3)^2(1280z^2-32z-1)^2(256z^2+16z-1)^2(16z-1)^3\)
| \(-\frac{ 3}{ 16}\) | \(-\frac{ 1}{ 32}-\frac{ 1}{ 32}\sqrt{ 5}\) | \(-\frac{ 1}{ 16}\) | \(\frac{ 1}{ 80}-\frac{ 1}{ 80}\sqrt{ 6}\) | \(0\) | \(-\frac{ 1}{ 32}+\frac{ 1}{ 32}\sqrt{ 5}\) | \(\frac{ 1}{ 80}+\frac{ 1}{ 80}\sqrt{ 6}\) | \(\frac{ 1}{ 16}\) | \(\infty\) |
|---|---|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(4\) |
| \(1\) | \(\frac{ 1}{ 2}\) | \(1\) | \(1\) | \(0\) | \(\frac{ 1}{ 2}\) | \(1\) | \(0\) | \(4\) |
| \(-2\) | \(\frac{ 1}{ 2}\) | \(1\) | \(3\) | \(0\) | \(\frac{ 1}{ 2}\) | \(3\) | \(0\) | \(4\) |
| \(3\) | \(1\) | \(2\) | \(4\) | \(0\) | \(1\) | \(4\) | \(0\) | \(4\) |
247
New Number: 15.1 | AESZ: | Superseeker: 7/2 237/2 | Hash: df146e1b37d7a257f905c6707b923620
Degree: 15
\(2^{2} 5^{30} \theta^4-2 5^{28} x\left(3640\theta^4+11006\theta^3+13879\theta^2+8376\theta+1980\right)+3^{2} 5^{26} x^{2}\left(538345\theta^4+4434106\theta^3+9865547\theta^2+10318472\theta+4308060\right)-3^{4} 5^{24} x^{3}\left(6742465\theta^4+323187588\theta^3+1293374270\theta^2+2006832192\theta+1174440960\right)-3^{7} 5^{22} x^{4}\left(526873995\theta^4-1668961078\theta^3-24223747379\theta^2-58879161136\theta-47787749580\right)+3^{8} 5^{20} x^{5}\left(112183726219\theta^4+702881575498\theta^3-655695079267\theta^2-6796301255992\theta-8645676874410\right)-3^{10} 5^{18} x^{6}\left(2728176480430\theta^4+50098509218682\theta^3+140700841079393\theta^2+45277394357802\theta-187513884611415\right)-3^{12} 5^{16} x^{7}\left(34762414267630\theta^4-1334642903889766\theta^3-8286651788306957\theta^2-15990739837380612\theta-8287376192342010\right)+3^{15} 5^{14} x^{8}\left(1629579653924345\theta^4+954388085050194\theta^3-55618872802839705\theta^2-207693840516161754\theta-214442659712419520\right)-3^{17} 5^{12} x^{9}\left(65369060331963795\theta^4+512595644471686042\theta^3+992825405643594911\theta^2-1201538784520100286\theta-4009291166039086080\right)+3^{20} 5^{10} x^{10}\left(534261782717034863\theta^4+6643553399420804992\theta^3+30007608488826895812\theta^2+55818610344670779952\theta+32009410686899411085\right)-3^{22} 5^{8} x^{11}\left(8440215529571954655\theta^4+138165063547130806682\theta^3+847930452008770373373\theta^2+2305208800672476166582\theta+2332526675705017692360\right)+2^{2} 3^{25} 5^{6} x^{12}(\theta+5)(6822457746356194860\theta^3+105594221828043028718\theta^2+542119266560031019991\theta+926555809752183305931)-2^{2} 3^{27} 5^{4} x^{13}(\theta+5)(\theta+6)(15337273149232082245\theta^2+289665397258229241319\theta+1092956642701689252996)-2^{5} 3^{30} 5^{2} 7 163 4447 x^{14}(\theta+5)(\theta+6)(\theta+7)(4612345059685\theta+22748051972446)+2^{12} 3^{33} 7^{2} 17 163^{2} 1213 4447^{2} x^{15}(\theta+5)(\theta+6)(\theta+7)(\theta+8)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 198/5, 119412/125, 59226669/3125, 27037427724/78125, ... --> OEIS Normalized instanton numbers (n0=1): 7/2, -193/8, 237/2, -6119/4, 16307, ... ; Common denominator:...
\((128z-25)(72z+25)(153z-25)(294759z^2-18900z+625)(378z-25)^2(39609z^2-2025z+625)^2(360207z^2-1575z-1250)^2\)
| \(-\frac{ 25}{ 72}\) | \(\frac{ 175}{ 80046}-\frac{ 625}{ 80046}\sqrt{ 57}\) | \(0\) | \(\frac{ 25}{ 978}-\frac{ 625}{ 8802}\sqrt{ 3}I\) | \(\frac{ 25}{ 978}+\frac{ 625}{ 8802}\sqrt{ 3}I\) | \(\frac{ 350}{ 10917}-\frac{ 625}{ 32751}\sqrt{ 3}I\) | \(\frac{ 350}{ 10917}+\frac{ 625}{ 32751}\sqrt{ 3}I\) | \(\frac{ 175}{ 80046}+\frac{ 625}{ 80046}\sqrt{ 57}\) | \(\frac{ 25}{ 378}\) | \(\frac{ 25}{ 153}\) | \(\frac{ 25}{ 128}\) | \(\infty\) |
|---|---|---|---|---|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(5\) |
| \(1\) | \(1\) | \(0\) | \(0\) | \(0\) | \(1\) | \(1\) | \(1\) | \(-1\) | \(1\) | \(1\) | \(6\) |
| \(1\) | \(3\) | \(0\) | \(-1\) | \(-1\) | \(1\) | \(1\) | \(3\) | \(1\) | \(1\) | \(1\) | \(7\) |
| \(2\) | \(4\) | \(0\) | \(1\) | \(1\) | \(2\) | \(2\) | \(4\) | \(-2\) | \(2\) | \(2\) | \(8\) |
248
New Number: 15.2 | AESZ: | Superseeker: 2 38 | Hash: 76d5c5e186c39f14d8f32dfa0f13e22a
Degree: 15
\(\theta^4+2 x\left(73\theta^4+40\theta^3+47\theta^2+27\theta+6\right)+2^{2} x^{2}\left(2349\theta^4+2724\theta^3+3516\theta^2+2273\theta+614\right)+2^{3} x^{3}\left(44091\theta^4+80304\theta^3+115043\theta^2+84574\theta+26356\right)+2^{5} x^{4}\left(269591\theta^4+678346\theta^3+1084179\theta^2+893856\theta+309842\right)+2^{8} x^{5}\left(568775\theta^4+1835004\theta^3+3266314\theta^2+2971734\theta+1120498\right)+2^{11} x^{6}\left(856369\theta^4+3369012\theta^3+6631886\theta^2+6564309\theta+2651780\right)+2^{11} x^{7}\left(7508036\theta^4+34719008\theta^3+74840604\theta^2+79593816\theta+34039943\right)+2^{13} x^{8}\left(12098492\theta^4+63919352\theta^3+149239952\theta^2+168641212\theta+75569097\right)+2^{16} x^{9}\left(7179524\theta^4+42349744\theta^3+105902696\theta^2+125838704\theta+58525593\right)+2^{19} x^{10}\left(3117952\theta^4+20136896\theta^3+53326176\theta^2+65967996\theta+31556287\right)+2^{21} x^{11}\left(1949840\theta^4+13550976\theta^3+37571920\theta^2+47915544\theta+23371681\right)+2^{23} x^{12}\left(851424\theta^4+6266688\theta^3+17985676\theta^2+23424156\theta+11560933\right)+2^{26} x^{13}\left(122784\theta^4+942720\theta^3+2770088\theta^2+3654240\theta+1815239\right)+2^{31} 5 x^{14}\left(524\theta^4+4136\theta^3+12323\theta^2+16373\theta+8173\right)+2^{36} 5^{2} x^{15}\left((\theta+2)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -12, 136, -1632, 21296, ... --> OEIS Normalized instanton numbers (n0=1): 2, -29/4, 38, -2077/8, 2034, ... ; Common denominator:...
\((4z+1)(64z^2+24z+1)^2(160z^2+32z+1)^2(2z+1)^3(8z+1)^3\)
| \(-\frac{ 1}{ 2}\) | \(-\frac{ 3}{ 16}-\frac{ 1}{ 16}\sqrt{ 5}\) | \(-\frac{ 1}{ 4}\) | \(-\frac{ 1}{ 10}-\frac{ 1}{ 40}\sqrt{ 6}\) | \(-\frac{ 1}{ 8}\) | \(-\frac{ 3}{ 16}+\frac{ 1}{ 16}\sqrt{ 5}\) | \(-\frac{ 1}{ 10}+\frac{ 1}{ 40}\sqrt{ 6}\) | \(0\) | \(\infty\) |
|---|---|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(2\) |
| \(2\) | \(\frac{ 1}{ 2}\) | \(1\) | \(1\) | \(0\) | \(\frac{ 1}{ 2}\) | \(1\) | \(0\) | \(2\) |
| \(3\) | \(\frac{ 1}{ 2}\) | \(1\) | \(3\) | \(0\) | \(\frac{ 1}{ 2}\) | \(3\) | \(0\) | \(2\) |
| \(5\) | \(1\) | \(2\) | \(4\) | \(0\) | \(1\) | \(4\) | \(0\) | \(2\) |
249
New Number: 15.3 | AESZ: | Superseeker: 44/3 220588/81 | Hash: ae51313cd958206bb1b7a3c8ae23e509
Degree: 15
\(3^{3} \theta^4+2^{2} 3^{2} x\left(12\theta^4-160\theta^3-153\theta^2-73\theta-15\right)-2^{4} 3 x^{2}\left(2688\theta^4+704\theta^3-6380\theta^2-6164\theta-2343\right)+2^{8} x^{3}\left(1312\theta^4+69632\theta^3+26456\theta^2+3928\theta-4305\right)+2^{12} x^{4}\left(51264\theta^4-16512\theta^3-16360\theta^2-16088\theta-1785\right)-2^{16} x^{5}\left(52000\theta^4+223680\theta^3+316652\theta^2+308700\theta+133179\right)-2^{21} x^{6}\left(42088\theta^4+36416\theta^3+31682\theta^2-15530\theta-24313\right)+2^{25} x^{7}\left(58136\theta^4+309440\theta^3+666728\theta^2+761160\theta+351769\right)+2^{29} x^{8}\left(30776\theta^4+26112\theta^3-81496\theta^2-231912\theta-165231\right)-2^{33} 3 x^{9}\left(16632\theta^4+120704\theta^3+332890\theta^2+441546\theta+227145\right)-2^{36} x^{10}\left(31968\theta^4+33600\theta^3-297916\theta^2-852260\theta-648637\right)+2^{40} x^{11}\left(40000\theta^4+381696\theta^3+1258584\theta^2+1813272\theta+964287\right)+2^{44} x^{12}\left(14240\theta^4+66688\theta^3+44952\theta^2-163928\theta-198345\right)-2^{48} x^{13}\left(5824\theta^4+76480\theta^3+307828\theta^2+490020\theta+272659\right)-2^{54} 5 x^{14}\left(164\theta^4+1536\theta^3+5043\theta^2+7113\theta+3693\right)-2^{60} 5^{2} x^{15}\left((\theta+2)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 20, 388, 7344, 141636, ... --> OEIS Normalized instanton numbers (n0=1): 44/3, -1421/9, 220588/81, -14752264/243, 1138508000/729, ... ; Common denominator:...
\(-(1+16z)(1280z^2-32z-1)^2(256z^2+16z-1)^2(16z+3)^3(16z-1)^3\)
| \(-\frac{ 3}{ 16}\) | \(-\frac{ 1}{ 32}-\frac{ 1}{ 32}\sqrt{ 5}\) | \(-\frac{ 1}{ 16}\) | \(\frac{ 1}{ 80}-\frac{ 1}{ 80}\sqrt{ 6}\) | \(0\) | \(-\frac{ 1}{ 32}+\frac{ 1}{ 32}\sqrt{ 5}\) | \(\frac{ 1}{ 80}+\frac{ 1}{ 80}\sqrt{ 6}\) | \(\frac{ 1}{ 16}\) | \(\infty\) |
|---|---|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(2\) |
| \(2\) | \(\frac{ 1}{ 2}\) | \(1\) | \(1\) | \(0\) | \(\frac{ 1}{ 2}\) | \(1\) | \(0\) | \(2\) |
| \(3\) | \(\frac{ 1}{ 2}\) | \(1\) | \(3\) | \(0\) | \(\frac{ 1}{ 2}\) | \(3\) | \(0\) | \(2\) |
| \(5\) | \(1\) | \(2\) | \(4\) | \(0\) | \(1\) | \(4\) | \(0\) | \(2\) |
250
New Number: 15.4 | AESZ: | Superseeker: 52/5 13436/5 | Hash: 2306e85a3af0a97d616dedf03cc93f69
Degree: 15
\(5^{2} \theta^4-2^{2} 5 x\left(524\theta^4+56\theta^3+83\theta^2+55\theta+15\right)+2^{4} x^{2}\left(122784\theta^4+39552\theta^3+60584\theta^2+42560\theta+9895\right)-2^{8} x^{3}\left(851424\theta^4+544704\theta^3+819724\theta^2+563860\theta+144605\right)+2^{13} x^{4}\left(1949840\theta^4+2047744\theta^3+3062224\theta^2+2155304\theta+617905\right)-2^{18} x^{5}\left(3117952\theta^4+4806720\theta^3+7335648\theta^2+5468420\theta+1717063\right)+2^{22} x^{6}\left(7179524\theta^4+15086448\theta^3+24112808\theta^2+19319920\theta+6533401\right)-2^{26} x^{7}\left(12098492\theta^4+32868584\theta^3+56087648\theta^2+48438116\theta+17467537\right)+2^{31} x^{8}\left(7508036\theta^4+25345280\theta^3+46719420\theta^2+43397656\theta+16591239\right)-2^{38} x^{9}\left(856369\theta^4+3481940\theta^3+6970670\theta^2+6938899\theta+2800514\right)+2^{42} x^{10}\left(568775\theta^4+2715196\theta^3+5906890\theta^2+6274274\theta+2662654\right)-2^{46} x^{11}\left(269591\theta^4+1478382\theta^3+3484287\theta^2+3929620\theta+1745534\right)+2^{51} x^{12}\left(44091\theta^4+272424\theta^3+691403\theta^2+822862\theta+380404\right)-2^{57} x^{13}\left(2349\theta^4+16068\theta^3+43548\theta^2+54271\theta+25924\right)+2^{63} x^{14}\left(73\theta^4+544\theta^3+1559\theta^2+2017\theta+988\right)-2^{69} x^{15}\left((\theta+2)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 12, 44, -3792, -207124, ... --> OEIS Normalized instanton numbers (n0=1): 52/5, 115, 13436/5, 89632, 18465296/5, ... ; Common denominator:...
\(-(-1+32z)(256z^2-48z+1)^2(512z^2-128z+5)^2(64z-1)^3(16z-1)^3\)
| \(0\) | \(\frac{ 1}{ 64}\) | \(\frac{ 3}{ 32}-\frac{ 1}{ 32}\sqrt{ 5}\) | \(\frac{ 1}{ 32}\) | \(\frac{ 1}{ 8}-\frac{ 1}{ 32}\sqrt{ 6}\) | \(\frac{ 1}{ 16}\) | \(\frac{ 3}{ 32}+\frac{ 1}{ 32}\sqrt{ 5}\) | \(\frac{ 1}{ 8}+\frac{ 1}{ 32}\sqrt{ 6}\) | \(\infty\) |
|---|---|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(2\) |
| \(0\) | \(2\) | \(\frac{ 1}{ 2}\) | \(1\) | \(1\) | \(0\) | \(\frac{ 1}{ 2}\) | \(1\) | \(2\) |
| \(0\) | \(3\) | \(\frac{ 1}{ 2}\) | \(1\) | \(3\) | \(0\) | \(\frac{ 1}{ 2}\) | \(3\) | \(2\) |
| \(0\) | \(5\) | \(1\) | \(2\) | \(4\) | \(0\) | \(1\) | \(4\) | \(2\) |
251
New Number: 6.11 | AESZ: | Superseeker: 27296 369676901920 | Hash: 480dfd541eda896f1434450e820ef263
Degree: 6
\(\theta^4+2^{4} x\left(4480\theta^4-6016\theta^3-3632\theta^2-624\theta-57\right)+2^{14} x^{2}\left(56512\theta^4-238208\theta^3+88016\theta^2+21584\theta+2943\right)-2^{24} 3^{2} x^{3}\left(93952\theta^4+21248\theta^3+15264\theta^2+2176\theta+155\right)-2^{34} 3^{3} x^{4}\left(41664\theta^4+57088\theta^3+4448\theta^2-21248\theta-7191\right)+2^{48} 3^{3} 13 x^{5}(\theta+1)(808\theta^3+2352\theta^2+2099\theta+582)-2^{58} 3^{5} 13^{2} x^{6}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 912, 2320656, 9507313920, 49468269165840, ... --> OEIS Normalized instanton numbers (n0=1): 27296, -70540912, 369676901920, -2547102730999216, 20534034788092596960, ... ; Common denominator:...
\(-(3072z+1)(9216z-1)(39936z+1)^2(1024z-1)^2\)
| \(-\frac{ 1}{ 3072}\) | \(-\frac{ 1}{ 39936}\) | \(0\) | \(\frac{ 1}{ 9216}\) | \(\frac{ 1}{ 1024}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(\frac{ 1}{ 2}\) | \(1\) |
| \(1\) | \(3\) | \(0\) | \(1\) | \(\frac{ 1}{ 2}\) | \(2\) |
| \(2\) | \(4\) | \(0\) | \(2\) | \(1\) | \(\frac{ 5}{ 2}\) |
252
New Number: 6.12 | AESZ: | Superseeker: 19 2263 | Hash: 86993fb7955dee498aab7e103a0f457e
Degree: 6
\(\theta^4-x\left(33\theta^4+258\theta^3+199\theta^2+70\theta+10\right)-2^{2} x^{2}\left(1380\theta^4+2400\theta^3-173\theta^2-634\theta-185\right)-2^{4} x^{3}\left(7325\theta^4+2670\theta^3-668\theta^2-1035\theta-290\right)-2^{7} x^{4}\left(897\theta^4-3504\theta^3-10058\theta^2-8492\theta-2435\right)+2^{12} x^{5}(\theta+1)^2(858\theta^2+1566\theta+745)-2^{17} 5^{2} x^{6}(\theta+1)^2(\theta+2)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, 10, 310, 14860, 869590, ... --> OEIS Normalized instanton numbers (n0=1): 19, -18, 2263, 4184, 1097345, ... ; Common denominator:...
\(-(z-1)(8z+1)(100z-1)(4z-1)(1+32z)^2\)
| \(-\frac{ 1}{ 8}\) | \(-\frac{ 1}{ 32}\) | \(0\) | \(\frac{ 1}{ 100}\) | \(\frac{ 1}{ 4}\) | \(1\) | \(\infty\) |
|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(1\) | \(3\) | \(0\) | \(1\) | \(1\) | \(1\) | \(2\) |
| \(2\) | \(4\) | \(0\) | \(2\) | \(2\) | \(2\) | \(2\) |
253
New Number: 6.15 | AESZ: | Superseeker: 64 76608 | Hash: 0130ee676bad42a2e117bca3367f8cf0
Degree: 6
\(\theta^4+2^{4} x\left(56\theta^4+16\theta^3+22\theta^2+14\theta+3\right)+2^{10} x^{2}\left(308\theta^4+272\theta^3+347\theta^2+174\theta+35\right)+2^{18} x^{3}\left(212\theta^4+384\theta^3+473\theta^2+282\theta+69\right)+2^{26} x^{4}\left(77\theta^4+232\theta^3+327\theta^2+226\theta+62\right)+2^{35} x^{5}(7\theta^2+17\theta+13)(\theta+1)^2+2^{42} x^{6}(\theta+1)^2(\theta+2)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, -48, 3088, -231168, 19207440, ... --> OEIS Normalized instanton numbers (n0=1): 64, -1732, 76608, -4429212, 296488640, ... ; Common denominator:...
\((64z+1)^2(128z+1)^2(256z+1)^2\)
| \(-\frac{ 1}{ 64}\) | \(-\frac{ 1}{ 128}\) | \(-\frac{ 1}{ 256}\) | \(0\) | \(\infty\) |
|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(\frac{ 1}{ 2}\) | \(\frac{ 1}{ 2}\) | \(1\) | \(0\) | \(1\) |
| \(\frac{ 1}{ 2}\) | \(\frac{ 1}{ 2}\) | \(3\) | \(0\) | \(2\) |
| \(1\) | \(1\) | \(4\) | \(0\) | \(2\) |
254
New Number: 6.16 | AESZ: | Superseeker: 2272 434311008 | Hash: f30ffc268310c175e914066ee270f47b
Degree: 6
\(\theta^4+2^{4} x\left(448\theta^4-544\theta^3-332\theta^2-60\theta-5\right)+2^{12} x^{2}\left(2576\theta^4-8416\theta^3+2808\theta^2+668\theta+35\right)-2^{20} x^{3}\left(9088\theta^4+5568\theta^3+5392\theta^2+3180\theta+667\right)-2^{28} 3^{2} x^{4}(2\theta+1)(744\theta^3+940\theta^2+798\theta+167)+2^{38} 3^{3} 5 x^{5}(16\theta^2+40\theta+33)(\theta+1)^2+2^{48} 3^{3} 5^{2} x^{6}(\theta+1)^2(\theta+2)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, 80, 30480, 9850112, 4649741584, ... --> OEIS Normalized instanton numbers (n0=1): 2272, -719992, 434311008, -343376572072, 316225589496736, ... ; Common denominator:...
\((768z-1)(256z-1)(256z+1)^2(3840z+1)^2\)
| \(-\frac{ 1}{ 256}\) | \(-\frac{ 1}{ 3840}\) | \(0\) | \(\frac{ 1}{ 768}\) | \(\frac{ 1}{ 256}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(\frac{ 1}{ 2}\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) |
| \(\frac{ 1}{ 2}\) | \(3\) | \(0\) | \(1\) | \(1\) | \(2\) |
| \(1\) | \(4\) | \(0\) | \(2\) | \(2\) | \(2\) |
255
New Number: 6.26 | AESZ: | Superseeker: 58/43 1024/43 | Hash: 38ef7a13fad0ecbb53ba25dafe26b113
Degree: 6
\(43^{2} \theta^4-43 x\left(830\theta^4+1750\theta^3+1434\theta^2+559\theta+86\right)-x^{2}\left(1342738\theta^3+368510+1383525\theta+354697\theta^4+2007703\theta^2\right)-x^{3}\left(2348230+6951423\theta+774028\theta^4+3928308\theta^3+7763518\theta^2\right)-3 5 x^{4}\left(44423\theta^4+264028\theta^3+597368\theta^2+599643\theta+221430\right)-2 3^{2} 5^{2} x^{5}(\theta+2)(\theta+1)(533\theta^2+1694\theta+1290)-3^{3} 5^{3} x^{6}(3\theta+5)(3\theta+4)(\theta+2)(\theta+1)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 2, 26, 344, 5650, ... --> OEIS Normalized instanton numbers (n0=1): 58/43, 211/43, 1024/43, 7544/43, 64880/43, ... ; Common denominator:...
\(-(5z+1)(27z-1)(15z+43)^2(z+1)^2\)
| \(-\frac{ 43}{ 15}\) | \(-1\) | \(-\frac{ 1}{ 5}\) | \(0\) | \(\frac{ 1}{ 27}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(\frac{ 1}{ 2}\) | \(1\) | \(0\) | \(1\) | \(\frac{ 4}{ 3}\) |
| \(3\) | \(\frac{ 1}{ 2}\) | \(1\) | \(0\) | \(1\) | \(\frac{ 5}{ 3}\) |
| \(4\) | \(1\) | \(2\) | \(0\) | \(2\) | \(2\) |
256
New Number: 6.35 | AESZ: | Superseeker: | Hash: de26083962cade55a4938b4011d0008e
Degree: 6
\(\theta^4-3 x\left(63\theta^4+234\theta^3+247\theta^2+130\theta+28\right)+2 3^{4} x^{2}\left(9\theta^4+522\theta^3+1207\theta^2+1058\theta+356\right)+2^{2} 3^{7} x^{3}\left(135\theta^4+270\theta^3-730\theta^2-1395\theta-696\right)-2^{3} 3^{10} x^{4}\left(63\theta^4+774\theta^3+1372\theta^2+817\theta+88\right)-2^{4} 3^{13} x^{5}\left(72\theta^4+72\theta^3-325\theta^2-629\theta-308\right)+2^{5} 3^{16} x^{6}(3\theta+5)(3\theta+4)(2\theta+3)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, 84, 7452, 692688, 66448116, ... --> OEIS Normalized instanton numbers (n0=1): 21, -1617/4, 7941, -986355/4, 8179455, ... ; Common denominator:...
\((54z-1)(27z-1)(54z+1)^2(108z-1)^2\)
| \(-\frac{ 1}{ 54}\) | \(0\) | \(\frac{ 1}{ 108}\) | \(\frac{ 1}{ 54}\) | \(\frac{ 1}{ 27}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 4}{ 3}\) |
| \(1\) | \(0\) | \(-\frac{ 1}{ 2}\) | \(1\) | \(1\) | \(\frac{ 3}{ 2}\) |
| \(3\) | \(0\) | \(1\) | \(1\) | \(1\) | \(\frac{ 3}{ 2}\) |
| \(4\) | \(0\) | \(\frac{ 3}{ 2}\) | \(2\) | \(2\) | \(\frac{ 5}{ 3}\) |
257
New Number: 6.36 | AESZ: | Superseeker: 10/7 508/7 | Hash: b890cacbc73012eb6554263c3ea04707
Degree: 6
\(7^{2} \theta^4-2 7 x\left(60\theta^4+24\theta^3-9\theta^2-21\theta-7\right)-2^{2} x^{2}\left(6492\theta^4+30192\theta^3+46665\theta^2+30786\theta+7777\right)+2^{4} x^{3}\left(3632\theta^4-27552\theta^3-133920\theta^2-173880\theta-76083\right)+2^{9} x^{4}\left(1776\theta^4+10272\theta^3+15264\theta^2+7608\theta+121\right)-2^{14} x^{5}\left(48\theta^4-480\theta^3-2016\theta^2-2568\theta-1091\right)-2^{19} x^{6}\left((2\theta+3)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -2, 38, 204, 7462, ... --> OEIS Normalized instanton numbers (n0=1): 10/7, 100/7, 508/7, 808, 59910/7, ... ; Common denominator:...
\(-(16z+1)(32z-1)(4z+1)^2(32z-7)^2\)
| \(-\frac{ 1}{ 4}\) | \(-\frac{ 1}{ 16}\) | \(0\) | \(\frac{ 1}{ 32}\) | \(\frac{ 7}{ 32}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 3}{ 2}\) |
| \(-\frac{ 1}{ 2}\) | \(1\) | \(0\) | \(1\) | \(1\) | \(\frac{ 3}{ 2}\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(3\) | \(\frac{ 3}{ 2}\) |
| \(\frac{ 3}{ 2}\) | \(2\) | \(0\) | \(2\) | \(4\) | \(\frac{ 3}{ 2}\) |
258
New Number: 6.37 | AESZ: | Superseeker: 80 249872 | Hash: 0c2998041752cbd976fcc2e18f2072ad
Degree: 6
\(\theta^4-2^{4} x\left(6\theta^4+96\theta^3+99\theta^2+51\theta+11\right)-2^{9} x^{2}\left(222\theta^4+48\theta^3-873\theta^2-897\theta-328\right)+2^{14} x^{3}\left(454\theta^4+6168\theta^3+4887\theta^2+891\theta-651\right)+2^{19} x^{4}\left(6492\theta^4+8760\theta^3-1557\theta^2-6945\theta-2438\right)-2^{28} 7 x^{5}\left(60\theta^4+336\theta^3+693\theta^2+642\theta+227\right)-2^{33} 7^{2} x^{6}\left((2\theta+3)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 176, 35792, 7805184, 1768710928, ... --> OEIS Normalized instanton numbers (n0=1): 80, -4222, 249872, -22251117, 2195810928, ... ; Common denominator:...
\(-(32z+1)(64z-1)(224z+1)^2(256z-1)^2\)
| \(-\frac{ 1}{ 32}\) | \(-\frac{ 1}{ 224}\) | \(0\) | \(\frac{ 1}{ 256}\) | \(\frac{ 1}{ 64}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 3}{ 2}\) |
| \(1\) | \(1\) | \(0\) | \(-\frac{ 1}{ 2}\) | \(1\) | \(\frac{ 3}{ 2}\) |
| \(1\) | \(3\) | \(0\) | \(1\) | \(1\) | \(\frac{ 3}{ 2}\) |
| \(2\) | \(4\) | \(0\) | \(\frac{ 3}{ 2}\) | \(2\) | \(\frac{ 3}{ 2}\) |
259
New Number: 6.38 | AESZ: | Superseeker: 2 952 | Hash: ab13475ec61ba4278f6e59d858b5c527
Degree: 6
\(\theta^4-2 x\left(84\theta^4+264\theta^3+299\theta^2+167\theta+37\right)+2^{2} x^{2}\left(260\theta^4+10640\theta^3+22443\theta^2+18950\theta+6071\right)+2^{7} x^{3}\left(4550\theta^4+16140\theta^3+7327\theta^2-8178\theta-6485\right)+2^{12} x^{4}\left(935\theta^4-8660\theta^3-28587\theta^2-29234\theta-10036\right)-2^{18} 3 x^{5}\left(414\theta^4+2385\theta^3+5123\theta^2+4909\theta+1773\right)-2^{22} 3^{2} x^{6}(3\theta+5)^2(3\theta+4)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, 74, 6354, 585020, 55958290, ... --> OEIS Normalized instanton numbers (n0=1): 2, -172, 952, -45148, 17303644/25, ... ; Common denominator:...
\(-(-1+16z+256z^2)(32z+1)^2(108z-1)^2\)
| \(-\frac{ 1}{ 32}-\frac{ 1}{ 32}\sqrt{ 5}\) | \(-\frac{ 1}{ 32}\) | \(0\) | \(\frac{ 1}{ 108}\) | \(-\frac{ 1}{ 32}+\frac{ 1}{ 32}\sqrt{ 5}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 4}{ 3}\) |
| \(1\) | \(1\) | \(0\) | \(-\frac{ 1}{ 2}\) | \(1\) | \(\frac{ 4}{ 3}\) |
| \(1\) | \(3\) | \(0\) | \(1\) | \(1\) | \(\frac{ 5}{ 3}\) |
| \(2\) | \(4\) | \(0\) | \(\frac{ 3}{ 2}\) | \(2\) | \(\frac{ 5}{ 3}\) |
260
New Number: 6.40 | AESZ: | Superseeker: 24586 329889747608 | Hash: 36fe35d15f62636c9a59974b02c3c153
Degree: 6
\(\theta^4+2 x\left(31252\theta^4-47788\theta^3-30351\theta^2-6457\theta-777\right)+2^{2} x^{2}\left(141990396\theta^4-851496456\theta^3+348245465\theta^2+120244516\theta+24723417\right)-2^{4} 7 x^{3}\left(114890001328\theta^4-55808058864\theta^3-39178895096\theta^2-22533986391\theta-2840254281\right)+2^{6} 7^{2} x^{4}\left(12756705884284\theta^4+28777665785840\theta^3+28025191186334\theta^2+13259372733985\theta+2453710035513\right)+2^{8} 3^{4} 7^{3} 13 101 x^{5}(\theta+1)(6017971352\theta^3+13862309856\theta^2+7944674578\theta+1672187649)-2^{10} 3^{10} 5^{2} 7^{5} 13^{2} 37^{2} 101^{2} x^{6}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 1554, 4332150, 14528884020, 53714646216630, ... --> OEIS Normalized instanton numbers (n0=1): 24586, -65016808, 329889747608, -2211583844012928, 17318548806048850836, ... ; Common denominator:...
\(-(2916z-1)(5476z-1)(2268z+1)(4900z-1)(1+36764z)^2\)
| \(-\frac{ 1}{ 2268}\) | \(-\frac{ 1}{ 36764}\) | \(0\) | \(\frac{ 1}{ 5476}\) | \(\frac{ 1}{ 4900}\) | \(\frac{ 1}{ 2916}\) | \(\infty\) |
|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(1\) | \(3\) | \(0\) | \(1\) | \(1\) | \(1\) | \(2\) |
| \(2\) | \(4\) | \(0\) | \(2\) | \(2\) | \(2\) | \(\frac{ 5}{ 2}\) |
261
New Number: 6.3 | AESZ: | Superseeker: 178/7 129516/7 | Hash: ec9e21dc2ccd3b4b4156ae1438454b96
Degree: 6
\(7^{2} \theta^4-2 7 x\left(1488\theta^4+1452\theta^3+1125\theta^2+399\theta+56\right)+2^{2} x^{2}\left(766392\theta^4+1184952\theta^3+1010797\theta^2+454076\theta+83776\right)-2^{4} x^{3}\left(12943616\theta^4+28354200\theta^3+30710572\theta^2+16054731\theta+3215254\right)+2^{6} x^{4}\left(105973188\theta^4+333359304\theta^3+436182381\theta^2+261265857\theta+57189166\right)-2^{11} 127 x^{5}(\theta+1)(390972\theta^3+1350660\theta^2+1486781\theta+460439)+2^{14} 23^{2} 127^{2} x^{6}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 16, 864, 80800, 9624160, ... --> OEIS Normalized instanton numbers (n0=1): 178/7, 3375/7, 129516/7, 6515900/7, 409239710/7, ... ; Common denominator:...
\((1-248z+8464z^2)(508z-7)^2(16z-1)^2\)
| \(0\) | \(\frac{ 31}{ 2116}-\frac{ 3}{ 529}\sqrt{ 3}\) | \(\frac{ 7}{ 508}\) | \(\frac{ 31}{ 2116}+\frac{ 3}{ 529}\sqrt{ 3}\) | \(\frac{ 1}{ 16}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(1\) | \(1\) | \(1\) | \(\frac{ 1}{ 3}\) | \(1\) |
| \(0\) | \(1\) | \(3\) | \(1\) | \(\frac{ 2}{ 3}\) | \(2\) |
| \(0\) | \(2\) | \(4\) | \(2\) | \(1\) | \(\frac{ 5}{ 2}\) |
262
New Number: 6.4 | AESZ: | Superseeker: 370/19 140636/19 | Hash: 0f3ddf420018e2870561a3e9fd2551cc
Degree: 6
\(19^{2} \theta^4-19 x\left(4333\theta^4+6212\theta^3+4778\theta^2+1672\theta+228\right)+x^{2}\left(4307495\theta^4+7600484\theta^3+6216406\theta^2+2802424\theta+530556\right)-x^{3}\left(93729369\theta^4+213316800\theta^3+236037196\theta^2+125748612\theta+25260804\right)+2^{2} x^{4}\left(240813800\theta^4+778529200\theta^3+1041447759\theta^2+631802809\theta+138510993\right)-2^{2} 409 x^{5}(\theta+1)(2851324\theta^3+10035516\theta^2+11221241\theta+3481470)+2^{2} 3^{2} 19^{2} 409^{2} x^{6}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 12, 588, 46200, 4446540, ... --> OEIS Normalized instanton numbers (n0=1): 370/19, 276, 140636/19, 5568700/19, 277119292/19, ... ; Common denominator:...
\((9z-1)(5776z^3-1920z^2+176z-1)(-19+409z)^2\)
| \(0\) | ≈\(0.006077\) | \(\frac{ 19}{ 409}\) | \(\frac{ 1}{ 9}\) | ≈\(0.163166-0.043179I\) | ≈\(0.163166+0.043179I\) | \(\infty\) |
|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(0\) | \(1\) | \(3\) | \(1\) | \(1\) | \(1\) | \(2\) |
| \(0\) | \(2\) | \(4\) | \(2\) | \(2\) | \(2\) | \(\frac{ 5}{ 2}\) |
263
New Number: 6.8 | AESZ: | Superseeker: 567/13 512341/13 | Hash: 00104510dfaa4ae75940f08df0a52bf5
Degree: 6
\(13^{2} \theta^4-13 x\left(5041\theta^4+7634\theta^3+5767\theta^2+1950\theta+260\right)+2^{3} x^{2}\left(744635\theta^4+1560842\theta^3+1510101\theta^2+768170\theta+156078\right)-2^{6} 3 x^{3}\left(1232985\theta^4+3409302\theta^3+4189688\theta^2+2419209\theta+518414\right)+2^{9} x^{4}\left(9225025\theta^4+33675338\theta^3+49289090\theta^2+31849807\theta+7296732\right)-2^{12} 3 17 x^{5}(\theta+1)(222704\theta^3+833160\theta^2+989659\theta+317310)+2^{15} 3^{2} 17^{2} 23^{2} x^{6}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 20, 1524, 196400, 31587220, ... --> OEIS Normalized instanton numbers (n0=1): 567/13, 11392/13, 512341/13, 34191454/13, 2850663840/13, ... ; Common denominator:...
\((1-293z+4232z^2)(408z-13)^2(16z-1)^2\)
| \(0\) | \(\frac{ 293}{ 8464}-\frac{ 41}{ 8464}\sqrt{ 41}\) | \(\frac{ 13}{ 408}\) | \(\frac{ 1}{ 16}\) | \(\frac{ 293}{ 8464}+\frac{ 41}{ 8464}\sqrt{ 41}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) | \(1\) | \(1\) |
| \(0\) | \(1\) | \(3\) | \(\frac{ 1}{ 2}\) | \(1\) | \(2\) |
| \(0\) | \(2\) | \(4\) | \(1\) | \(2\) | \(\frac{ 5}{ 2}\) |
264
New Number: 6.9 | AESZ: | Superseeker: 31/81 29/9 | Hash: 98af5121f39c27098356e3ade277f975
Degree: 6
\(3^{8} \theta^4-3^{4} x\left(1234\theta^4+2168\theta^3+1975\theta^2+891\theta+162\right)-x^{2}\left(428004+1521180\theta+2033921\theta^2+1177556\theta^3+205589\theta^4\right)+x^{3}\left(2310517\theta^4+12882402\theta^3+26939429\theta^2+25052328\theta+8683524\right)-2^{2} 5^{2} x^{4}\left(51526\theta^4+332687\theta^3+804453\theta^2+849398\theta+325796\right)+2^{2} 5^{4} x^{5}(\theta+1)(1593\theta^3+8667\theta^2+15104\theta+8516)-2^{4} 5^{6} x^{6}(\theta+2)(\theta+1)(2\theta+3)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, 2, 14, 104, 1030, ... --> OEIS Normalized instanton numbers (n0=1): 31/81, 40/27, 29/9, 1532/81, 6551/81, ... ; Common denominator:...
\(-(16z-1)(25z^3-17z^2+2z+1)(-81+50z)^2\)
| ≈\(-0.17455\) | \(0\) | \(\frac{ 1}{ 16}\) | ≈\(0.427275-0.215865I\) | ≈\(0.427275+0.215865I\) | \(\frac{ 81}{ 50}\) | \(\infty\) |
|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(\frac{ 3}{ 2}\) |
| \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(3\) | \(\frac{ 3}{ 2}\) |
| \(2\) | \(0\) | \(2\) | \(2\) | \(2\) | \(4\) | \(2\) |
265
New Number: 7.10 | AESZ: | Superseeker: 1 11 | Hash: b1c277f62ba740f9f7e0371ba53e4194
Degree: 7
\(\theta^4-x\left(76\theta^4+80\theta^3+73\theta^2+33\theta+6\right)+x^{2}\left(2209\theta^4+4228\theta^3+4745\theta^2+2726\theta+648\right)-2 3^{2} x^{3}\left(1735\theta^4+4646\theta^3+6099\theta^2+4072\theta+1124\right)+2^{2} 3^{3} x^{4}\left(2085\theta^4+7388\theta^3+11695\theta^2+9140\theta+2844\right)-2^{3} 3^{3} x^{5}(\theta+1)(3707\theta^3+14055\theta^2+20242\theta+10704)+2^{6} 3^{5} x^{6}(\theta+1)(\theta+2)(86\theta^2+285\theta+262)-2^{7} 3^{8} x^{7}(\theta+1)(\theta+2)^2(\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 6, 60, 816, 13104, ... --> OEIS Normalized instanton numbers (n0=1): 1, 13/4, 11, 50, 1674/5, ... ; Common denominator:...
\(-(3z-1)(18z-1)(27z-1)(12z-1)^2(-1+2z)^2\)
| \(0\) | \(\frac{ 1}{ 27}\) | \(\frac{ 1}{ 18}\) | \(\frac{ 1}{ 12}\) | \(\frac{ 1}{ 3}\) | \(\frac{ 1}{ 2}\) | \(\infty\) |
|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) | \(2\) |
| \(0\) | \(1\) | \(1\) | \(3\) | \(1\) | \(\frac{ 1}{ 2}\) | \(2\) |
| \(0\) | \(2\) | \(2\) | \(4\) | \(2\) | \(1\) | \(3\) |
266
New Number: 7.12 | AESZ: | Superseeker: -21 -7941 | Hash: 0841b278bc566a089b643bbe2460fe8b
Degree: 7
\(\theta^4+3 x\left(99\theta^4+162\theta^3+139\theta^2+58\theta+10\right)+2 3^{4} x^{2}\left(135\theta^4+738\theta^3+945\theta^2+518\theta+116\right)-2^{2} 3^{7} x^{3}\left(117\theta^4-738\theta^3-2010\theta^2-1493\theta-406\right)-2^{3} 3^{10} x^{4}\left(333\theta^4+774\theta^3-898\theta^2-1269\theta-454\right)-2^{4} 3^{13} x^{5}\left(54\theta^4+1224\theta^3+1179\theta^2+347\theta-22\right)+2^{5} 3^{16} x^{6}\left(180\theta^4+72\theta^3-327\theta^2-359\theta-106\right)+2^{7} 3^{19} x^{7}(\theta+1)^2(6\theta+5)(6\theta+7)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -30, 1458, -89076, 6250050, ... --> OEIS Normalized instanton numbers (n0=1): -21, -399, -7941, -986355/4, -8179455, ... ; Common denominator:...
\((27z+1)(54z+1)(54z-1)^2(108z+1)^3\)
| \(-\frac{ 1}{ 27}\) | \(-\frac{ 1}{ 54}\) | \(-\frac{ 1}{ 108}\) | \(0\) | \(\frac{ 1}{ 54}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 5}{ 6}\) |
| \(1\) | \(1\) | \(\frac{ 1}{ 2}\) | \(0\) | \(1\) | \(1\) |
| \(1\) | \(1\) | \(\frac{ 3}{ 2}\) | \(0\) | \(3\) | \(1\) |
| \(2\) | \(2\) | \(2\) | \(0\) | \(4\) | \(\frac{ 7}{ 6}\) |
267
New Number: 7.13 | AESZ: | Superseeker: -32 -107936 | Hash: 80eaab6a34199e98f88d8472c115c4df
Degree: 7
\(\theta^4+2^{4} x\left(44\theta^4+72\theta^3+64\theta^2+28\theta+5\right)+2^{11} x^{2}\left(60\theta^4+328\theta^3+420\theta^2+228\theta+51\right)-2^{18} x^{3}\left(52\theta^4-328\theta^3-885\theta^2-663\theta-181\right)-2^{25} x^{4}\left(148\theta^4+344\theta^3-403\theta^2-559\theta-199\right)-2^{32} x^{5}\left(24\theta^4+544\theta^3+519\theta^2+147\theta-12\right)+2^{39} x^{6}\left(80\theta^4+32\theta^3-147\theta^2-159\theta-46\right)+2^{47} x^{7}(4\theta+3)(\theta+1)^2(4\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -80, 10512, -1703168, 309951760, ... --> OEIS Normalized instanton numbers (n0=1): -32, -2840, -107936, -7514224, -575948640, ... ; Common denominator:...
\((64z+1)(128z+1)(128z-1)^2(256z+1)^3\)
| \(-\frac{ 1}{ 64}\) | \(-\frac{ 1}{ 128}\) | \(-\frac{ 1}{ 256}\) | \(0\) | \(\frac{ 1}{ 128}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 3}{ 4}\) |
| \(1\) | \(1\) | \(\frac{ 1}{ 4}\) | \(0\) | \(1\) | \(1\) |
| \(1\) | \(1\) | \(\frac{ 7}{ 4}\) | \(0\) | \(3\) | \(1\) |
| \(2\) | \(2\) | \(2\) | \(0\) | \(4\) | \(\frac{ 5}{ 4}\) |
268
New Number: 7.14 | AESZ: | Superseeker: -48 -38929520 | Hash: d8c602210ad81a2daef74d36a78ea933
Degree: 7
\(\theta^4+2^{4} 3 x\left(99\theta^4+162\theta^3+151\theta^2+70\theta+13\right)+2^{9} 3^{4} x^{2}\left(135\theta^4+738\theta^3+945\theta^2+506\theta+113\right)-2^{14} 3^{7} x^{3}\left(117\theta^4-738\theta^3-1965\theta^2-1490\theta-409\right)-2^{19} 3^{10} x^{4}\left(333\theta^4+774\theta^3-919\theta^2-1242\theta-439\right)-2^{25} 3^{13} x^{5}\left(27\theta^4+612\theta^3+576\theta^2+154\theta-17\right)+2^{31} 3^{16} x^{6}\left(45\theta^4+18\theta^3-84\theta^2-89\theta-25\right)+2^{37} 3^{19} x^{7}(\theta+1)^2(3\theta+2)(3\theta+4)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -624, 633744, -768218880, 1020122073360, ... --> OEIS Normalized instanton numbers (n0=1): -48, -160806, -38929520, -13792511646, -7174458915600, ... ; Common denominator:...
\((432z+1)(864z+1)(864z-1)^2(1728z+1)^3\)
| \(-\frac{ 1}{ 432}\) | \(-\frac{ 1}{ 864}\) | \(-\frac{ 1}{ 1728}\) | \(0\) | \(\frac{ 1}{ 864}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 2}{ 3}\) |
| \(1\) | \(1\) | \(0\) | \(0\) | \(1\) | \(1\) |
| \(1\) | \(1\) | \(2\) | \(0\) | \(3\) | \(1\) |
| \(2\) | \(2\) | \(2\) | \(0\) | \(4\) | \(\frac{ 4}{ 3}\) |
269
New Number: 7.15 | AESZ: | Superseeker: -2 -952 | Hash: d9a911258d890c112974a4ba19e93e6d
Degree: 7
\(\theta^4+2 x\left(138\theta^4+156\theta^3+137\theta^2+59\theta+10\right)+2^{2} x^{2}\left(4796\theta^4+15824\theta^3+16719\theta^2+7610\theta+1400\right)-2^{4} 5 x^{3}\left(5876\theta^4-28824\theta^3-58439\theta^2-39075\theta-9350\right)-2^{6} 5 x^{4}\left(184592\theta^4+414976\theta^3-60816\theta^2-180968\theta-60145\right)+2^{10} 3 x^{5}\left(240624\theta^4-905760\theta^3-1250920\theta^2-576920\theta-83925\right)+2^{18} 3^{2} x^{6}\left(13608\theta^4+48276\theta^3+66402\theta^2+41679\theta+9935\right)-2^{20} 3^{5} x^{7}(6\theta+5)^2(6\theta+7)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, -20, 900, -55280, 3962500, ... --> OEIS Normalized instanton numbers (n0=1): -2, -343/2, -952, -45148, -17303644/25, ... ; Common denominator:...
\(-(-1-16z+256z^2)(32z-1)^2(108z+1)^3\)
| \(\frac{ 1}{ 32}-\frac{ 1}{ 32}\sqrt{ 5}\) | \(-\frac{ 1}{ 108}\) | \(0\) | \(\frac{ 1}{ 32}\) | \(\frac{ 1}{ 32}+\frac{ 1}{ 32}\sqrt{ 5}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 5}{ 6}\) |
| \(1\) | \(\frac{ 1}{ 2}\) | \(0\) | \(1\) | \(1\) | \(\frac{ 5}{ 6}\) |
| \(1\) | \(\frac{ 3}{ 2}\) | \(0\) | \(3\) | \(1\) | \(\frac{ 7}{ 6}\) |
| \(2\) | \(2\) | \(0\) | \(4\) | \(2\) | \(\frac{ 7}{ 6}\) |
270
New Number: 7.16 | AESZ: | Superseeker: 22/5 68 | Hash: 660211ce6175f36772066594bfc33cbb
Degree: 7
\(5^{2} \theta^4-2 5 x\theta(15+71\theta+112\theta^2+38\theta^3)-2^{2} x^{2}\left(4364\theta^4+15872\theta^3+24679\theta^2+19360\theta+6000\right)-2^{4} 3^{2} 5 x^{3}\left(92\theta^4+224\theta^3+103\theta^2-176\theta-165\right)+2^{6} 3^{2} x^{4}\left(1228\theta^4+10496\theta^3+30154\theta^2+35736\theta+14715\right)+2^{9} 3^{4} x^{5}(\theta+1)(38\theta^3+74\theta^2-304\theta-495)-2^{10} 3^{4} x^{6}(2\theta+13)(2\theta+3)(17\theta+39)(\theta+1)-2^{12} 3^{6} x^{7}(\theta+1)(2\theta+5)(2\theta+3)(\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 0, 60, 480, 16524, ... --> OEIS Normalized instanton numbers (n0=1): 22/5, 8, 68, 3292/5, 38826/5, ... ; Common denominator:...
\(-(-1+36z)(12z+5)^2(12z+1)^2(4z-1)^2\)
| \(-\frac{ 5}{ 12}\) | \(-\frac{ 1}{ 12}\) | \(0\) | \(\frac{ 1}{ 36}\) | \(\frac{ 1}{ 4}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(0\) | \(0\) | \(1\) | \(\frac{ 1}{ 2}\) | \(\frac{ 3}{ 2}\) |
| \(3\) | \(1\) | \(0\) | \(1\) | \(\frac{ 1}{ 2}\) | \(\frac{ 5}{ 2}\) |
| \(4\) | \(1\) | \(0\) | \(2\) | \(1\) | \(3\) |