1
New Number: 24.10 | AESZ: | Superseeker: 23/3 -11450/81 | Hash: 38f69d10efcf1cecb893b4ec6e7f935d
Degree: 24
\(3^{3} \theta^4-3^{2} x(12\theta^2+11\theta+3)(20\theta^2+21\theta+8)+3 x^{2}\left(19299\theta^4+78796\theta^3+109877\theta^2+63446\theta+14016\right)-x^{3}\left(15470\theta^4+866668\theta^3+2069017\theta^2+1671401\theta+536214\right)-x^{4}\left(1138248\theta^4+1706550\theta^3-2534918\theta^2-3025945\theta-915072\right)+x^{5}\left(28756154\theta^4+60366300\theta^3-109333109\theta^2-137943099\theta-45737664\right)+x^{6}\left(32843719\theta^4-191583028\theta^3+237130805\theta^2+463457074\theta+223186208\right)-x^{7}\left(917154124\theta^4-565053944\theta^3-97751313\theta^2+679349929\theta+398163454\right)+x^{8}\left(3589458339\theta^4-2727679080\theta^3-1302482752\theta^2+1396143960\theta+694946880\right)-2 x^{9}\left(1937917032\theta^4-3189394128\theta^3-5013912813\theta^2-2923204701\theta-506481748\right)-2 x^{10}\left(2325299271\theta^4+9545434500\theta^3+17001134089\theta^2+14158555322\theta+4243430976\right)+2 x^{11}\left(5245867146\theta^4+13216454796\theta^3+20436911015\theta^2+14552765547\theta+3114426494\right)-2^{3} x^{12}\left(36094918\theta^4-1955241496\theta^3-6780107635\theta^2-9739362200\theta-5187586578\right)-2 x^{13}\left(4132995702\theta^4+21853487820\theta^3+54264334273\theta^2+65679813131\theta+3068268959\right)+2 x^{14}\left(1091890963\theta^4-83664300\theta^3-11910268959\theta^2-27816528978\theta-19410718768\right)+2 x^{15}\left(1567811420\theta^4+11417192080\theta^3+33555079093\theta^2+46454705111\theta+24010188798\right)-x^{16}\left(1103983063\theta^4+1933621792\theta^3-9275189128\theta^2-33319252360\theta-27425598384\right)-3 x^{17}\left(235027408\theta^4+1942700472\theta^3+5394877285\theta^2+6482788569\theta+2730469456\right)+3^{3} x^{18}\left(10056633\theta^4+28880428\theta^3-33255815\theta^2-234311274\theta-218971008\right)+3^{2} x^{19}\left(13371098\theta^4+122671124\theta^3+358242019\theta^2+410729083\theta+154355754\right)-2^{2} 3^{3} x^{20}\left(299324\theta^4+476670\theta^3-1853764\theta^2-5444373\theta-3656884\right)-3^{4} x^{21}\left(170942\theta^4+1362148\theta^3+4194121\theta^2+5361887\theta+2399352\right)+3^{4} x^{22}\left(29459\theta^4+79820\theta^3-94487\theta^2-420110\theta-301056\right)+3^{6} 5 x^{23}(\theta+2)(404\theta^3+2048\theta^2+3577\theta+2149)+3^{8} 5^{2} x^{24}\left((\theta+2)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 8, 115, 1604, 32881/6, ... --> OEIS Normalized instanton numbers (n0=1): 23/3, -629/36, -11450/81, -525798481/248832, -33700238207857/2916000000, ... ; Common denominator:...
\(27-2160z+2386179z^22+1472580z^23+164025z^24+32843719z^6-917154124z^7+3589458339z^8-3875834064z^9-4650598542z^10-1103983063z^16-705082224z^17+57897z^2-15470z^3-1138248z^4+28756154z^5+271529091z^18+10491734292z^11-288759344z^12-8265991404z^13+2183781926z^14+3135622840z^15+120339882z^19-32326992z^20-13846302z^21\)
No data for singularities
2
New Number: 24.11 | AESZ: | Superseeker: 53/5 -309836/1215 | Hash: 682b45ff9c4177035e08e594ea968a40
Degree: 24
\(5^{2} \theta^4-5 x\theta(780\theta^3+233\theta+45)+x^{2}\left(29459\theta^4+155852\theta^3+133609\theta^2+27010\theta-6000\right)-3^{2} x^{3}\left(170942\theta^4+5388\theta^3+123841\theta^2+538965\theta+289950\right)-2^{2} 3^{3} x^{4}\left(299324\theta^4+1917922\theta^3+2469992\theta^2+1887645\theta+792630\right)+3^{4} x^{5}\left(13371098\theta^4-15702340\theta^3-56878373\theta^2-21939359\theta-1565760\right)+3^{7} x^{6}\left(10056623\theta^4+51572556\theta^3+34820569\theta^2+76534814\theta+46490824\right)-3^{7} x^{7}\left(235027408\theta^4-62481208\theta^3-620667755\theta^2-694808037\theta-436763790\right)-3^{8} x^{8}\left(1103983063\theta^4+6898242712\theta^3+5618673632\theta^2+8342492360\theta+4306904496\right)+2 3^{10} x^{9}\left(1567811420\theta^4+1125299280\theta^3+2679400693\theta^2+929271741\theta-931458972\right)+2 3^{12} x^{10}\left(1091890963\theta^4+8818792004\theta^3+14797099953\theta^2+16119935558\theta+6720833160\right)-2 3^{14} x^{11}\left(4132995702\theta^4+11210477796\theta^3+22335304201\theta^2+21391532585\theta+7680128002\right)-2^{3} 3^{16} x^{12}\left(36094918\theta^4+2244000840\theta^3+5817619373\theta^2+7236866988\theta+3390157938\right)+2 3^{18} x^{13}\left(5245867146\theta^4+28750482372\theta^3+67038993743\theta^2+76465169633\theta+33958775428\right)-2 3^{20} x^{14}\left(2325299271\theta^4+9056959668\theta^3+15535709593\theta^2+13710343706\theta+4772169024\right)-2 3^{22} x^{15}\left(1937917032\theta^4+18692730384\theta^3+60632460723\theta^2+83153628009\theta+41806101938\right)+3^{24} x^{16}\left(3589458339\theta^4+31443345792\theta^3+101210591864\theta^2+140988740840\theta+71945494016\right)-3^{26} x^{17}\left(917154124\theta^4+7902286936\theta^3+25304271327\theta^2+35059224115\theta+17843355880\right)+3^{28} x^{18}\left(32843719\theta^4+454332780\theta^3+2174878229\theta^2+3835061490\theta+2302959008\right)+3^{30} x^{19}\left(28756154\theta^4+169682932\theta^3+218616787\theta^2-103588009\theta-230015838\right)-2^{2} 3^{32} x^{20}\left(1138248\theta^4+7399434\theta^3+14543734\theta^2+8831609\theta-443286\right)-3^{34} x^{21}\left(15470\theta^4-742908\theta^3-2759711\theta^2-3300309\theta-1216344\right)+3^{37} x^{22}\left(19299\theta^4+100277\theta^2+123674\theta+5048\right)-3^{40} x^{23}(12\theta^2+37\theta+29)(20\theta^2+59\theta+46)+3^{43} x^{24}\left((\theta+2)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 0, 15, 48296/27, 23854513/240, ... --> OEIS Normalized instanton numbers (n0=1): 53/5, 53/10, -309836/1215, -73952369/345600, 209793337409497/1687500000, ... ; Common denominator:...
\(25-3900z+8690029099790358108537z^22-2917839710173662912240z^23+328256967394537077627z^24+21993834501z^6-514004941296z^7-7243232876343z^8+185155393079160z^9+1160551250535366z^10+1013769054901630165059z^16-2331282727106618378796z^17+29459z^2-1538478z^3-32326992z^4+1083058938z^5+751358943012059239959z^18-39535980639598476z^11-12430142917311024z^12+4064712829864708788z^13-16215634451558943342z^14-121627779796976720976z^15+5920637101748069219946z^19-8436786095680921258272z^20-257996000893841822430z^21\)
No data for singularities
3
New Number: 24.12 | AESZ: | Superseeker: 1/3 1289597/39366 | Hash: 9f410e240839dfb2c31e0d9ab21bcf92
Degree: 24
\(3^{3} \theta^4-3^{2} x\left(21\theta^4+26\theta^3+27\theta^2+14\theta+3\right)+2^{4} 3 x^{2}\left(1375\theta^4+1228\theta^3+1487\theta^2+614\theta+93\right)+2^{7} x^{3}\left(5593\theta^4-4894\theta^3-15283\theta^2-10592\theta-3189\right)-2^{10} x^{4}\left(1755\theta^4+11130\theta^3-55892\theta^2-47479\theta-15219\right)-2^{12} x^{5}\left(35483\theta^4-933060\theta^3+194605\theta^2+201774\theta+76539\right)+2^{14} x^{6}\left(105307\theta^4-637672\theta^3-308501\theta^2-310872\theta-167723\right)-2^{17} x^{7}\left(59541\theta^4-937902\theta^3-1250911\theta^2-1406132\theta-697865\right)+2^{20} x^{8}\left(150991\theta^4+759264\theta^3+3007976\theta^2+4226730\theta+2232921\right)-2^{23} x^{9}\left(303262\theta^4+2599208\theta^3+7447674\theta^2+10796900\theta+6015357\right)+2^{26} x^{10}\left(26658\theta^4-69132\theta^3-5869072\theta^2-9790622\theta-5785043\right)+2^{29} x^{11}\left(52403\theta^4+5485920\theta^3+20238530\theta^2+32576052\theta+19443807\right)-2^{32} x^{12}\left(676638\theta^4+4352088\theta^3+7488880\theta^2+5678926\theta+1126215\right)+2^{35} x^{13}\left(144814\theta^4-1215584\theta^3-10922414\theta^2-24907140\theta-173936401\right)+2^{38} x^{14}\left(464128\theta^4+5192664\theta^3+16987014\theta^2+25566882\theta+1450055\right)-2^{41} x^{15}\left(393556\theta^4+2778212\theta^3+7715696\theta^2+9949084\theta+4920079\right)+2^{44} x^{16}\left(1992\theta^4-1014792\theta^3-4709600\theta^2-7958386\theta-4559197\right)+2^{47} x^{17}\left(171070\theta^4+1455864\theta^3+5007722\theta^2+7771956\theta+4461993\right)-2^{50} x^{18}\left(80590\theta^4+559352\theta^3+1994028\theta^2+3689138\theta+2550645\right)-2^{53} x^{19}\left(38226\theta^4+30444\theta^3+878182\theta^2+886100\theta+185855\right)+2^{56} x^{20}\left(20906\theta^4+165792\theta^3+493376\theta^2+554010\theta+178671\right)+2^{59} x^{21}\left(5072\theta^4+33772\theta^3+69936\theta^2+56704\theta+16563\right)-2^{62} x^{22}\left(1691\theta^4+12560\theta^3+32617\theta^2+37570\theta+16816\right)-2^{65} 5 x^{23}\left(59\theta^4+306\theta^3+563\theta^2+408\theta+78\right)+2^{68} 5^{2} x^{24}\left((\theta+2)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 1, -135/16, 672377/11664, 759635299/995328, ... --> OEIS Normalized instanton numbers (n0=1): 1/3, -15611/576, 1289597/39366, 2808573854873/859963392, 25331648080663241/1259712000000, ... ; Common denominator:...
\(27-189z-7798361057160712945664z^22-10883579003488635453440z^23+7378697629483820646400z^24+1725349888z^6-7804157952z^7+158325538816z^8-2543946039296z^9+1788988096512z^10+35043634600476672z^16+24075962132945960960z^17+66000z^2+715904z^3-1797120z^4-145338368z^5-90736273492447068160z^18+28133646401536z^11-2906138081230848z^12+4975771152023552z^13+127578533194104832z^14-865438796362022912z^15-344309198711729160192z^19+1506436060956921430016z^20+2923808935682963931136z^21\)
No data for singularities
4
New Number: 24.13 | AESZ: | Superseeker: -112 -1046539024/273375 | Hash: 516bcee6a8de593c5564ec440efe3b8d
Degree: 24
\(5^{2} \theta^4-2^{2} 5 x\left(59\theta^4+309\theta^3+60\theta+10\right)-2^{4} x^{2}\left(1691\theta^4+968\theta^3-2159\theta^2-3710\theta-1280\right)+2^{6} x^{3}\left(5072\theta^4+6804\theta^3-10968\theta^2-19920\theta-6125\right)+2^{8} x^{4}\left(20906\theta^4+1456\theta^3+368\theta^2+98982\theta+52315\right)-2^{10} x^{5}\left(38226\theta^4+1368\theta^3-31034\theta^2+196580\theta+102479\right)-2^{12} x^{6}\left(80590\theta^4+85368\theta^3+572076\theta^2+153630\theta-36895\right)+2^{14} x^{7}\left(171070\theta^4-87304\theta^3+378218\theta^2+262804\theta+39177\right)+2^{16} x^{8}\left(1992\theta^4+1030728\theta^3+1426960\theta^2+1361234\theta+669383\right)-2^{18} x^{9}\left(393556\theta^4+370236\theta^3+491768\theta^2+168948\theta-44105\right)+2^{20} x^{10}\left(464128\theta^4-1479640\theta^3-3029898\theta^2-5078698\theta-2800421\right)+2^{22} x^{11}\left(144814\theta^4+2374096\theta^3-153374\theta^2+438540\theta+229919\right)-2^{24} x^{12}\left(676638\theta^4+1061016\theta^3-2384336\theta^2-6296046\theta-4366613\right)+2^{26} x^{13}\left(524030\theta^4-129368\theta^3-100270\theta^2-684012\theta-257057\right)+2^{28} x^{14}\left(26658\theta^4+904584\theta^3-1081360\theta^2-4536770\theta-3722999\right)-2^{30} x^{15}\left(303262\theta^4-173112\theta^3-869286\theta^2-2492316\theta-1729219\right)+2^{32} x^{16}\left(150991\theta^4+448664\theta^3+2076176\theta^2+3525718\theta+2153109\right)-2^{34} x^{17}\left(59541\theta^4+1414230\theta^3+5805485\theta^2+9562624\theta+5566627\right)+2^{36} x^{18}\left(105307\theta^4+1480128\theta^3+6044899\theta^2+10098756\theta+6006305\right)-2^{39} x^{19}\left(35483\theta^4+377170\theta^3+1606033\theta^2+2831774\theta+1765587\right)-2^{42} x^{20}\left(1755\theta^4+2910\theta^3-80552\theta^2-253489\theta-204789\right)+2^{44} x^{21}\left(5593\theta^4+49638\theta^3+148313\theta^2+187164\theta+85503\right)-2^{46} 3 x^{22}\left(375\theta^4+4228\theta^3+14881\theta^2+21402\theta+11011\right)-2^{49} 3^{2} x^{23}\left(21\theta^4+142\theta^3+375\theta^2+454\theta+211\right)+2^{52} 3^{3} x^{24}\left((\theta+2)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 8, 124, 1722272/405, 369030281/2025, ... --> OEIS Normalized instanton numbers (n0=1): -112, 11681/50, -1046539024/273375, 64922948419/4860000, -1775354639652176/2373046875, ... ; Common denominator:...
\((4z+1)(16z^2-4z-1)(16384z^6-2048z^5+768z^4-256z^3+288z^2+56z-1)(4z-1)^2(2048z^5-512z^4-832z^3+272z^2-68z+5)^2(12z+1)^3\)
No data for singularities
5
New Number: 24.14 | AESZ: | Superseeker: 16/3 -880/81 | Hash: 13173bd8cb75baee8a898c9c6303c117
Degree: 24
\(3^{3} \theta^4-2^{2} 3^{2} x\left(30\theta^4+68\theta^3+54\theta^2+20\theta+3\right)+2^{4} 3 x^{2}\left(129\theta^4+1036\theta^3+1445\theta^2+626\theta+57\right)+2^{6} x^{3}\left(6560\theta^4+16168\theta^3+28438\theta^2+29162\theta+11793\right)-2^{10} x^{4}\left(4293\theta^4-840\theta^3-26162\theta^2-17539\theta-3471\right)+2^{10} x^{5}\left(4576\theta^4-45960\theta^3-527326\theta^2-531090\theta-17739\right)+2^{12} x^{6}\left(253469\theta^4+268652\theta^3-420979\theta^2-1072742\theta-642319\right)-2^{14} x^{7}\left(268866\theta^4-966996\theta^3-216550\theta^2-153200\theta-178363\right)-2^{16} x^{8}\left(275621\theta^4+368724\theta^3+3817808\theta^2+1152648\theta-238416\right)+2^{19} x^{9}\left(1243022\theta^4-155108\theta^3-180362\theta^2+244748\theta+432025\right)+2^{21} x^{10}\left(71199\theta^4+1979580\theta^3+6105329\theta^2+7846418\theta+3871903\right)-2^{23} x^{11}\left(2529316\theta^4+8376456\theta^3+16354702\theta^2+16114830\theta+6536563\right)-2^{27} x^{12}\left(6408\theta^4-138306\theta^3+103491\theta^2+823698\theta+691409\right)+2^{27} x^{13}\left(2135212\theta^4+13297720\theta^3+38159702\theta^2+52119782\theta+27312351\right)-2^{29} x^{14}\left(16747\theta^4+2690700\theta^3+12019727\theta^2+19459890\theta+113394717\right)-2^{31} x^{15}\left(904020\theta^4+7252460\theta^3+24658966\theta^2+39551016\theta+23394717\right)-2^{32} x^{16}\left(80943\theta^4-2350848\theta^3-16468568\theta^2-35556904\theta-24607808\right)+2^{34} x^{17}\left(439874\theta^4+3498636\theta^3+9750362\theta^2+12302316\theta+5737785\right)+2^{36} x^{18}\left(71951\theta^4+208996\theta^3-152285\theta^2-1478458\theta-1394681\right)-2^{38} x^{19}\left(76872\theta^4+678456\theta^3+1854170\theta^2+1720414\theta+306971\right)-2^{42} x^{20}\left(2563\theta^4+5100\theta^3+1540\theta^2-9969\theta-11723\right)+2^{42} x^{21}\left(5752\theta^4+39608\theta^3+102098\theta^2+114550\theta+48355\right)+2^{44} x^{22}\left(1489\theta^4+8620\theta^3+16833\theta^2+13450\theta+3789\right)-2^{46} 5 x^{23}\left(106\theta^4+684\theta^3+1682\theta^2+1872\theta+797\right)+2^{48} 5^{2} x^{24}\left((\theta+2)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 4, 52, 464, 1412, ... --> OEIS Normalized instanton numbers (n0=1): 16/3, -133/18, -880/81, -247636/243, 44329772416/11390625, ... ; Common denominator:...
\(27-1080z+26194765020135424z^22-37295434414161920z^23+7036874417766400z^24+1038209024z^6-4405100544z^7-18063097856z^8+651701518336z^9+149315125248z^10-347647537840128z^16+7556977777442816z^17+6192z^2+419840z^3-4396032z^4+4685824z^5+4944435070631936z^18-21217440432128z^11-860067201024z^12+286583303438336z^13-8990977163264z^14-1941368167464960z^15-21130414462599168z^19-11272193207959552z^20+25297563531870208z^21\)
No data for singularities
6
New Number: 24.15 | AESZ: | Superseeker: -88 -460066696/273375 | Hash: 887043ef505443b5b0c0fc70e222c6e8
Degree: 24
\(5^{2} \theta^4-2^{2} 5 x\left(106\theta^4+286\theta^3+40\theta+5\right)+2^{4} x^{2}\left(1489\theta^4+3292\theta^3+849\theta^2-1910\theta-915\right)+2^{6} x^{3}\left(5752\theta^4+6408\theta^3+2498\theta^2+2610\theta+2815\right)-2^{10} x^{4}\left(2563\theta^4+15404\theta^3+32452\theta^2+36945\theta+14583\right)-2^{10} x^{5}\left(76872\theta^4-63480\theta^3-371638\theta^2+14698\theta+85127\right)+2^{12} x^{6}\left(71951\theta^4+366612\theta^3+320563\theta^2+663798\theta+432343\right)+2^{14} x^{7}\left(439874\theta^4+20356\theta^3-684478\theta^2-1208532\theta-816503\right)-2^{16} x^{8}\left(80943\theta^4+2998392\theta^3-420848\theta^2+482984\theta+733600\right)-2^{19} x^{9}\left(904030\theta^4-20220\theta^3+2840926\theta^2+984288\theta-626651\right)-2^{21} x^{10}\left(16747\theta^4-2556724\theta^3-3722545\theta^2-3133478\theta-767489\right)+2^{23} x^{11}\left(2135212\theta^4+3783976\theta^3+9618470\theta^2+9273170\theta+3493227\right)-2^{27} x^{12}\left(6408\theta^4+189570\theta^3+1087119\theta^2+1454994\theta+666953\right)-2^{27} x^{13}\left(2529316\theta^4+11858072\theta^3+26799550\theta^2+29724618\theta+13183119\right)+2^{29} x^{14}\left(71199\theta^4-1409988\theta^3-4063265\theta^2-4901254\theta-2096633\right)+2^{31} x^{15}\left(1243022\theta^4+10099284\theta^3+30582814\theta^2+40671804\theta+20350297\right)-2^{32} x^{16}\left(275621\theta^4-1482272\theta^3-11690728\theta^2-21308424\theta-12360464\right)-2^{34} x^{17}\left(268866\theta^4+3117924\theta^3+12038210\theta^2+19494664\theta+11299661\right)+2^{36} x^{18}\left(252469\theta^4+1751100\theta^3+4026365\theta^2+4244010\theta+1709537\right)+2^{38} x^{19}\left(4576\theta^4+82568\theta^3-141742\theta^2-880262\theta-783621\right)-2^{42} x^{20}\left(4293\theta^4+35184\theta^3+81910\theta^2+60347\theta+2367\right)+2^{42} x^{21}\left(6560\theta^4+36312\theta^3+88870\theta^2+100494\theta+42837\right)+2^{44} 3 x^{22}\left(3129\theta^4-4\theta^3-1675\theta^2-315\theta-1639\right)-2^{46} 3^{2} x^{23}\left(30\theta^4+172\theta^3+366\theta^2+340\theta+115\right)+2^{48} 3^{3} x^{24}\left((\theta+2)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 4, 124, 1946288/405, 472190641/2025, ... --> OEIS Normalized instanton numbers (n0=1): -88, -429/50, -460066696/273375, -147036093041/4860000, -1648362827374336/2373046875, ... ; Common denominator:...
\(25-2120z+165137850398932992z^22-18999560927969280z^23+7599824371187712z^24+294711296z^6+7206895616z^7-5304680448z^8-473972080640z^9-35121004544z^10-1183783181090816z^16-4619082708025344z^17+23824z^2+368128z^3-2624512z^4-78716928z^5+17349537572061184z^18+17911456464896z^11-860067201024z^12-339479046914048z^13+38224672063488z^14+2669369419104256z^15+1257841302175744z^19-18880813672169472z^20+28851185112842240z^21\)
No data for singularities
7
New Number: 24.16 | AESZ: | Superseeker: 20/3 7540/81 | Hash: 9b288a17ff21e31512fe3730227152b2
Degree: 24
\(3^{3} \theta^4-2^{2} 3^{2} x\left(51\theta^4+94\theta^3+81\theta^2+34\theta+6\right)+2^{4} 3 x^{2}\left(777\theta^4+3952\theta^3+5495\theta^2+3326\theta+840\right)+2^{6} x^{3}\left(6076\theta^4-36580\theta^3-96208\theta^2-73820\theta-22971\right)-2^{8} x^{4}\left(91962\theta^4+92760\theta^3-287340\theta^2-275194\theta-88617\right)+2^{10} x^{5}\left(255290\theta^4+840624\theta^3-841718\theta^2-1139664\theta-435957\right)+2^{12} x^{6}\left(344350\theta^4-2037616\theta^3+2302248\theta^2+3899366\theta+1855473\right)-2^{14} x^{7}\left(3596934\theta^4-1919904\theta^3+4846554\theta^2+7817604\theta+3815689\right)+2^{16} x^{8}\left(8122336\theta^4-2455824\theta^3+1743468\theta^2+4576350\theta+2211269\right)-2^{18} x^{9}\left(4736512\theta^4-15179116\theta^3-30014900\theta^2-27517140\theta-10151379\right)-2^{20} x^{10}\left(10049328\theta^4+43157856\theta^3+84407914\theta^2+77408798\theta+27100963\right)+2^{22} x^{11}\left(16849298\theta^4+43081512\theta^3+66129374\theta^2+42478644\theta+5863649\right)-2^{24} x^{12}\left(2120418\theta^4-19095648\theta^3-77625292\theta^2-120132994\theta-66210663\right)-2^{26} x^{13}\left(11329982\theta^4+59772152\theta^3+148599750\theta^2+178534328\theta+82729387\right)+2^{28} x^{14}\left(5764462\theta^4+18211776\theta^3+27275956\theta^2+15555738\theta+1058615\right)+2^{30} x^{15}\left(2768822\theta^4+19152112\theta^3+48724938\theta^2+52160308\theta+17451325\right)-2^{32} x^{16}\left(2326731\theta^4+9250224\theta^3+12025644\theta^2-5312634\theta-13944959\right)-2^{34} x^{17}\left(238805\theta^4+1852302\theta^3+1102491\theta^2-7080654\theta-8783903\right)+2^{36} x^{18}\left(377045\theta^4+632272\theta^3-4486531\theta^2-16948308\theta-14739201\right)+2^{39} x^{19}\left(16533\theta^4+234894\theta^3+875221\theta^2+1653596\theta+1206823\right)-2^{42} x^{20}\left(5449\theta^4-48270\theta^3-337532\theta^2-586347\theta-302891\right)-2^{44} x^{21}\left(2935\theta^4+30482\theta^3+120769\theta^2+177402\theta+84039\right)-2^{46} x^{22}\left(179\theta^4+6980\theta^3+3029\theta^2+47490\theta+25879\right)+2^{49} 5 x^{23}\left(47\theta^4+378\theta^3+1119\theta^2+1464\theta+719\right)+2^{52} 5^{2} x^{24}\left((\theta+2)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 8, 84, 864, 4164, ... --> OEIS Normalized instanton numbers (n0=1): 20/3, -194/9, 7540/81, -2021323/972, 1669749088/91125, ... ; Common denominator:...
\((4z+1)(16z^2+4z-1)(16384z^6+10240z^5+9984z^4+1024z^3-1056z^2+56z-1)(4z-1)^2(10240z^5-8704z^4+2752z^3-176z^2-4z+1)^2(4z+3)^3\)
No data for singularities
8
New Number: 24.17 | AESZ: | Superseeker: -24 -9598768/30375 | Hash: 1eb6cea72aa2a282481ca5e3b2422017
Degree: 24
\(5^{2} \theta^4+2^{2} 5 x\left(47\theta^4-23\theta^3-20\theta-5\right)-2^{4} x^{2}\left(179\theta^4-5548\theta^3-7291\theta^2-4350\theta-905\right)-2^{7} x^{3}\left(2935\theta^4-7002\theta^3+8317\theta^2+33810\theta+15415\right)-2^{10} x^{4}\left(5449\theta^4+91862\theta^3+82862\theta^2-10173\theta-6981\right)+2^{12} x^{5}\left(16533\theta^4-102630\theta^3-137351\theta^2-442384\theta-214109\right)+2^{14} x^{6}\left(377045\theta^4+2384088\theta^3+768917\theta^2+3480360\theta+214109\right)-2^{17} x^{7}\left(238805\theta^4+58138\theta^3-4280001\theta^2-3095246\theta-1210167\right)-2^{20} x^{8}\left(2326731\theta^4+9363624\theta^3+12365844\theta^2+16867914\theta+8008789\right)+2^{23} x^{9}\left(27688\theta^4+2998464\theta^3+263994\theta^2+1516404\theta-885283\right)+2^{26} x^{10}\left(5764462\theta^4+2998464\theta^3+263994\theta^2+1516404\theta-885283\right)-2^{29} x^{11}\left(11329982\theta^4+30867704\theta^3+61886406\theta^2+61158272\theta+23162227\right)-2^{32} x^{12}\left(2120418\theta^4+36058992\theta^3+87838628\theta^2+106632978\theta+502460529\right)+2^{35} x^{13}\left(16849298\theta^4+91712872\theta^3+212023454\theta^2+244238244\theta+110360529\right)-2^{38} x^{14}\left(10049328\theta^4+37236768\theta^3+66644650\theta^2+63907082\theta+25441423\right)-2^{41} x^{15}\left(4736512\theta^4+53071212\theta^3+174736084\theta^2+241175316\theta+122040421\right)+2^{44} x^{16}\left(8122336\theta^4+67434512\theta^3+211414476\theta^2+291782162\theta+149636409\right)-2^{47} x^{17}\left(3596934\theta^4+30695376\theta^3+102692394\theta^2+149709348\theta+804776873\right)+2^{50} x^{18}\left(344350\theta^4+4792416\theta^3+22792344\theta^2+40780218\theta+25076261\right)+2^{53} x^{19}\left(255290\theta^4+1201696\theta^3+241498\theta^2-4145416\theta-4163853\right)-2^{56} x^{20}\left(91962\theta^4+642936\theta^3+1364188\theta^2+959498\theta+45723\right)+2^{59} x^{21}\left(6076\theta^4+85188\theta^3+269096\theta^2+322380\theta+129693\right)+2^{62} 3 x^{22}\left(777\theta^4+2264\theta^3+431\theta^2-3906\theta-3016\right)-2^{65} 3^{2} x^{23}\left(51\theta^4+314\theta^3+741\theta^2+794\theta+326\right)+2^{68} 3^{3} x^{24}\left((\theta+2)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 4, -36, 8912/15, 688859/150, ... --> OEIS Normalized instanton numbers (n0=1): -24, 802/25, -9598768/30375, 31786366/5625, -5158982190959/52734375, ... ; Common denominator:...
\(25+940z+10749840108954241204224z^22-16934111059665368383488z^23+7968993439842526298112z^24+6177505280z^6-31300648960z^7-2439754285056z^8+232263778304z^9+386846496391168z^10+142889646027257675776z^16-506223456939883364352z^17-2864z^2-375680z^3-5579776z^4+67719168z^5+387703632921257574400z^18-6082737769283584z^11-9107125963849728z^12+578937470964465664z^13-2762338246833733632z^14-10415700038201114624z^15+2299447897742827847680z^19-6626560462915928850432z^20+3502575530995601113088z^21\)
No data for singularities
9
New Number: 24.1 | AESZ: | Superseeker: 3 1322/9 | Hash: d77f5cce80101a4e8f097ff7dc1cac1f
Degree: 24
\(\theta^4-3 x\theta(8\theta^2+5\theta+1)-3^{2} x^{2}\left(141\theta^4-76\theta^3-53\theta^2+74\theta+48\right)+3^{3} x^{3}\left(350\theta^4+268\theta^3-911\theta^2+193\theta+366\right)+2^{2} 3^{4} x^{4}\left(1536\theta^4-210\theta^3+5498\theta^2+3259\theta+432\right)-3^{6} x^{5}\left(9982\theta^4-4940\theta^3+26473\theta^2+14567\theta+72\right)-3^{7} x^{6}\left(13329\theta^4+128212\theta^3+141347\theta^2+176702\theta+93936\right)+3^{8} x^{7}\left(179988\theta^4+489272\theta^3+581261\theta^2+545387\theta+236754\right)-3^{9} x^{8}\left(473261\theta^4-322200\theta^3-1952576\theta^2-2540184\theta-1052928\right)+2 3^{11} x^{9}\left(89272\theta^4-647728\theta^3-1032101\theta^2-477573\theta+275604\right)+2 3^{12} x^{10}\left(380267\theta^4+3534580\theta^3+6813301\theta^2+7672754\theta+3370032\right)-2 3^{13} x^{11}\left(2824394\theta^4+21447564\theta^3+70086871\theta^2+111632667\theta+67101174\right)+2^{3} 3^{15} x^{12}\left(604658\theta^4+4211064\theta^3+13816867\theta^2+20606976\theta+11731242\right)-2 3^{16} x^{13}\left(2513086\theta^4-1029540\theta^3-71899267\theta^2-199754241\theta-151321716\right)-2 3^{17} x^{14}\left(4936477\theta^4+113054700\theta^3+624917375\theta^2+1236797682\theta+810302688\right)+2 3^{19} x^{15}\left(10447060\theta^4+141814160\theta^3+623159411\theta^2+1236797682\theta+658549626\right)-3^{21} x^{16}\left(15883703\theta^4+190281632\theta^3+7662783992\theta^2+1272288312\theta+742283280\right)+3^{24} x^{17}\left(2257088\theta^4+24107672\theta^3+94611213\theta^2+157783505\theta+93169704\right)-3^{25} x^{18}\left(1409659\theta^4+13667804\theta^3+60904285\theta^2+118238478\theta+79019856\right)-3^{27} x^{19}\left(372282\theta^4+2964756\theta^3+4412579\theta^2-3409349\theta-6851134\right)+2^{2} 3^{29} x^{20}\left(79892\theta^4+648390\theta^3+1698852\theta^2+1619127\theta+396380\right)-3^{31} x^{21}\left(42578\theta^4+351292\theta^3+908415\theta^2+928057\theta+321472\right)-3^{33} x^{22}\left(10861\theta^4+68980\theta^3+157607\theta^2+161390\theta+65296\right)+3^{35} 5 x^{23}\left(444\theta^4+2616\theta^3+5783\theta^2+5673\theta+2078\right)+3^{37} 5^{2} x^{24}\left((\theta+2)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 0, 27, -36, 891, ... --> OEIS Normalized instanton numbers (n0=1): 3, -24, 1322/9, -1824, 19551, ... ; Common denominator:...
\((9z-1)(81z^2-9z-1)(6561z^6+66339z^5-16767z^4+2106z^3-297z^2+27z-1)(9z+1)^2(32805z^5+12393z^4-324z^3+432z^2-9z-1)^2(3z-1)^3\)
No data for singularities
10
New Number: 24.2 | AESZ: | Superseeker: 14/3 13813/81 | Hash: 41744bc2b21cfd322eaaeeef9708f32d
Degree: 24
\(3^{3} \theta^4-3^{2} x\left(51\theta^4+166\theta^3+126\theta^2+43\theta+6\right)-3 x^{2}\left(8565\theta^4-5068\theta^3-4379\theta^2+5314\theta+3696\right)+2^{3} x^{3}\left(97217\theta^4+85594\theta^3+1042\theta^2+126065\theta+85260\right)+2^{4} x^{4}\left(169515\theta^4-51450\theta^3+3610310\theta^2+2229139\theta+376554\right)-2^{6} x^{5}\left(54033673\theta^4+3817434\theta^3+23026430\theta^2+18524325\theta+5269236\right)+2^{6} x^{6}\left(56745577\theta^4-58947232\theta^3-9100317\theta^2-107018560\theta-95196876\right)+2^{9} x^{7}\left(65530931\theta^4+428839238\theta^3+747632002\theta^2+855490591\theta+415787350\right)-2^{12} x^{8}\left(224356709\theta^4+564772296\theta^3+806751290\theta^2+577253730\theta+163219723\right)+2^{15} x^{9}\left(114705522\theta^4-402572832\theta^3-1600120000\theta^2-2391161140\theta-1263777229\right)+2^{18} x^{10}\left(221581518\theta^4+1753790880\theta^3+4463022454\theta^2+5290385822\theta+2416009977\right)-2^{21} x^{11}\left(297104050\theta^4+1400293560\theta^3+2545523552\theta^2+1898196336\theta+390414885\right)+2^{24} x^{12}\left(10381942\theta^4-638906128\theta^3-3420395594\theta^2-6131585970\theta-3713844291\right)+2^{27} x^{13}\left(169708186\theta^4+1632741184\theta^3+5661963400\theta^2+8312515476\theta+4455840251\right)-2^{30} x^{14}\left(77350272\theta^4+671060736\theta^3+196015614\theta^2+2227548066\theta+858195311\right)-2^{33} x^{15}\left(17292844\theta^4+225530588\theta^3+1196571252\theta^2+2510894402\theta+1734945305\right)+2^{36} x^{16}\left(12130172\theta^4+177960128\theta^3+899828890\theta^2+1740569194\theta+1131946327\right)+2^{39} x^{17}\left(2418550\theta^4-1367904\theta^3-97574768\theta^2-250801932\theta-179706127\right)-2^{42} x^{18}\left(425070\theta^4+769632\theta^3-7412666\theta^2-16056554\theta-8835779\right)-2^{45} x^{19}\left(740094\theta^4+721836\theta^3+20106464\theta^2+17226568\theta+1351671\right)+2^{48} x^{20}\left(107306\theta^4+1324272\theta^3+3588658\theta^2+3406170\theta+914247\right)+2^{51} x^{21}\left(18758\theta^4+64528\theta^3+62232\theta^2+29908\theta+36609\right)+2^{54} x^{22}\left(7159\theta^4+51040\theta^3+122273\theta^2+126170\theta+49919\right)-2^{57} 5 x^{23}\left(491\theta^4+2994\theta^3+6902\theta^2+7137\theta+2797\right)+2^{60} 5^{2} x^{24}\left((\theta+2)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 2, 42, 184, 2282, ... --> OEIS Normalized instanton numbers (n0=1): 14/3, -337/18, 13813/81, -928499/486, 16107365/729, ... ; Common denominator:...
\(27-459z+128965078929381523456z^22-353802786726226165760z^23+28823037615171174400z^24+3631716928z^6+33551836672z^7-918965080064z^8+3758670544896z^9+58086265454592z^10+833579072557678592z^16+1329611923678822400z^17-25695z^2+777736z^3+2712240z^4-3458155072z^5-1869477630474977280z^18-623072352665600z^11+174180083433472z^12+22777847147921408z^13-83054222144176128z^14-148544398869659648z^15-26039742676712030208z^19+30203953850913652736z^20+42239260905107881984z^21\)
No data for singularities
11
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
12
New Number: 24.4 | AESZ: | Superseeker: 6 -32282291/54 | Hash: b98c7f29efec34446d8add48441fa228
Degree: 24
\(\theta^4-3 x\left(11\theta^4+34\theta^3+32\theta^2+15\theta+3\right)+3^{2} x^{2}\left(27\theta^4+733966\theta^3+171\right)+3^{3} x^{3}\left(2926\theta^4-5560\theta^3-16480\theta^2-11928\theta-3735\right)-3^{4} x^{4}\left(30606\theta^4+32760\theta^3-132070\theta^2-121130\theta-44307\right)+3^{6} x^{5}\left(15750\theta^4+248992\theta^3-218660\theta^2-267352\theta-113937\right)+3^{7} x^{6}\left(447390\theta^4-1611064\theta^3+997138\theta^2+1525654\theta+737721\right)-3^{8} x^{7}\left(4210518\theta^4-4046728\theta^3+6791528\theta^2+9988640\theta+5160861\right)+3^{9} x^{8}\left(16918876\theta^4+1291896\theta^3+31887842\theta^2+47907054\theta+27066537\right)-3^{11} x^{9}\left(5747912\theta^4-10506476\theta^3-26158764\theta^2-16601042\theta-464415\right)-3^{12} x^{10}\left(52637104\theta^4+232675688\theta^3+616661120\theta^2+721851010\theta+337522383\right)+3^{13} x^{11}\left(277041602\theta^4+1204855368\theta^3+2973647056\theta^2+35822628224\theta+1740716235\right)-3^{15} x^{12}\left(156460502\theta^4+624228888\theta^3+1065193690\theta^2+810960198\theta+193208541\right)-3^{16} x^{13}\left(238576054\theta^4+2173084944\theta^3+8426851964\theta^2+14067417072\theta+8577791883\right)+3^{17} x^{14}\left(1561753522\theta^4+11510031576\theta^3+37524000206\theta^2+58271908434\theta+34413775443\right)-3^{19} x^{15}\left(675921878\theta^4+4776222328\theta^3+14788847224\theta^2+23325064352\theta+14445727221\right)-3^{21} x^{16}\left(332578151\theta^4+2930405144\theta^3+10261391450\theta^2+15302524086\theta+8113699269\right)+3^{24} x^{17}\left(135646615\theta^4+1173472306\theta^3+4199227068\theta^2+6859331311\theta+4126872408\right)-3^{25} x^{18}\left(52966465\theta^4+612076328\theta^3+3045213907\theta^2+6814044204\theta+5181429744\right)-2^{3} 3^{27} x^{19}\left(9827313\theta^4+76454094\theta^3+203071208\theta^2+155130637\theta-15471658\right)+2^{4} 3^{29} x^{20}\left(1601399\theta^4+15660570\theta^3+55267842\theta^2+71870481\theta+28392908\right)+2^{6} 3^{31} x^{21}\left(101735\theta^4+542938\theta^3+535032\theta^2-332573\theta-382670\right)-2^{6} 3^{33} x^{22}\left(45889\theta^4+396580\theta^3+1148993\theta^2+1448570\theta+695584\right)-2^{9} 3^{35} 5 x^{23}\left(87\theta^4+138\theta^3-716\theta^2-2001\theta-1376\right)+2^{12} 3^{37} 5^{2} x^{24}\left((\theta+2)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 9, 513/8, -5851781/8, -32364933705/1024, ... --> OEIS Normalized instanton numbers (n0=1): 6, -1965/16, -32282291/54, 234744298799/32768, 976987022211008331/8000000, ... ; Common denominator:...
\(1-33z-16326382741674649276608z^22-11143025724449214743040z^23+46109071963238129971200z^24+978441930z^6-27625208598z^7+333014236308z^8-1018225367064z^9-27973515186864z^10-3478884927060667653z^16+38310610599666661815z^17+243z^2+79002z^3-2479086z^4+11481750z^5-44877882476961328995z^18+441693798025446z^11-2245037192371314z^12-10269916833818934z^13+201685104396904086z^14-785597953501675026z^15-599513066375840399448z^19+1758473882907940341072z^20+4021696190140630274880z^21\)
No data for singularities
13
New Number: 24.5 | AESZ: | Superseeker: -16/5 -1867567/6075 | Hash: 2b54ac5ab682fefda99613b12639de0d
Degree: 24
\(5^{2} \theta^4-5 x\left(87\theta^4+558\theta^3+544\theta^2+265\theta+50\right)-x^{2}\left(45889\theta^4-29468\theta^3-129151\theta^2-143110\theta-44000\right)+2^{3} x^{3}\left(101735\theta^4+270942\theta^3-280942\theta^2-787035\theta-293140\right)+2^{4} x^{4}\left(1601399\theta^4-2849378\theta^3-262002\theta^2+12518815\theta+6061138\right)-2^{6} x^{5}\left(9827313\theta^4+2164410\theta^3-19797844\theta^2+54179083\theta+32156156\right)-2^{6} x^{6}\left(52966465\theta^4-188344608\theta^3+643951099\theta^2-283177632\theta-314950220\right)+2^{9} 3 x^{7}\left(135646615\theta^4-88299386\theta^3+413911992\theta^2+196600969\theta-12314550\right)-2^{12} x^{8}\left(332578151\theta^4-269779936\theta^3+660836210\theta^2+1220680818\theta+432226161\right)-2^{15} x^{9}\left(675921878\theta^4+631152696\theta^3+2353638328\theta^2+145156704\theta-444041163\right)+2^{18} x^{10}\left(1561753522\theta^4+983996600\theta^3+5945895278\theta^2+3679826182\theta+873763143\right)-2^{21} 3 x^{11}\left(238576054\theta^4-264476512\theta^3+1114167596\theta^2+1197405184\theta+582902907\right)-2^{24} 3^{2} x^{12}\left(156460502\theta^4+627455128\theta^3+1074872410\theta^2+965803970\theta+341599833\right)+2^{27} 3^{2} x^{13}\left(277041602\theta^4+1011477448\theta^3+239351296\theta^2+2719026848\theta+1263870699\right)-2^{30} 3^{3} x^{14}\left(52637104\theta^4+188421144\theta^3+483897488\theta^2+637072542\theta+341253003\right)-2^{33} 3^{4} x^{15}\left(5747912\theta^4+56489772\theta^3+174829980\theta^2+221976882\theta+104121013\right)+2^{36} 3^{4} x^{16}\left(16918876\theta^4+134059112\theta^3+430189490\theta^2+605545594\theta+319170645\right)-2^{39} 3^{5} x^{17}\left(4210518\theta^4+37730872\theta^3+132124328\theta^2+200474784\theta+112091805\right)+2^{42} 3^{6} x^{18}\left(447390\theta^4+5190184\theta^3+21400882\theta^2+36112146\theta+21721717\right)+2^{45} 3^{7} x^{19}\left(15750\theta^4-122992\theta^3-1334612\theta^2-3091192\theta-2193809\right)-2^{48} 3^{7} x^{20}\left(30606\theta^4+212088\theta^3+405914\theta^2+179122\theta-102711\right)+2^{51} 3^{8} x^{21}\left(2926\theta^4+28968\theta^3+87104\theta^2+106360\theta+45497\right)+2^{54} 3^{9} x^{22}\left(27\theta^4-616\theta^3-3223\theta^2-5290\theta-2877\right)-2^{57} 3^{10} x^{23}\left(21\theta^4+134\theta^3+332\theta^2+377\theta+165\right)+2^{60} 3^{11} x^{24}\left((\theta+2)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 10, 78, 1336, 881193/40, ... --> OEIS Normalized instanton numbers (n0=1): -16/5, 379/10, -1867567/6075, 1930939249/288000, -783587875717/5859375, ... ; Common denominator:...
\((8z+1)(64z^2-8z-1)(331776z^6-165888z^5+31104z^4-3168z^3+81z^2+35z-1)(8z-1)^2(36864z^5-4608z^4-4416z^3+1256z^2-136z+5)^2(24z+1)^3\)
No data for singularities
14
New Number: 24.6 | AESZ: | Superseeker: 22/3 -2493289/4374 | Hash: 97e76a6ce607bb4fccacf27108605ba7
Degree: 24
\(3^{3} \theta^4-3^{2} x\left(219\theta^4+446\theta^3+360\theta^2+137\theta+21\right)+3 x^{2}\left(15627\theta^4+62272\theta^3+87089\theta^2+4898\theta+9723\right)+x^{3}\left(87074\theta^4+751000\theta^3+1683376\theta^2+1419752\theta+477111\right)+x^{4}\left(1075878\theta^4+4128600\theta^3+1741490\theta^2-1627922\theta-880575\right)+x^{5}\left(20429470\theta^4+32622816\theta^3-100269124\theta^2-119243256\theta-38585541\right)+x^{6}\left(52275790\theta^4+137259464\theta^3-203637486\theta^2-370722394\theta-179832543\right)+x^{7}\left(273436034\theta^4-125542744\theta^3-803761016\theta^2-566839232\theta-164572889\right)+x^{8}\left(2111185276\theta^4-2958667464\theta^3-2052772526\theta^2+693402126\theta+563121065\right)+x^{9}\left(3487867272\theta^4-3567208236\theta^3-4453342156\theta^2-584255458\theta+1162144961\right)-x^{10}\left(2826802128\theta^4+10637991096\theta^3+17173705808\theta^2+12603066166\theta+2809918629\right)-x^{11}\left(8467877458\theta^4+22469569032\theta^3+37357510304\theta^2+30751477632\theta+9486012867\right)-x^{12}\left(47261798\theta^4-11482116968\theta^3-37739757574\theta^2-52237237770\theta-27215392395\right)+x^{13}\left(6972931522\theta^4+37972250992\theta^3+97327664068\theta^2+121840259280\theta+59059397729\right)+x^{14}\left(1229738322\theta^4-3456117864\theta^3-29388044354\theta^2-59103053358\theta-39073746749\right)-x^{15}\left(2875813642\theta^4+21430553672\theta^3+6570307164\theta^2+95717791808\theta+52198669355\right)-x^{16}\left(701991271\theta^4-20262056\theta^3-13732371862\theta^2-37536315274\theta-28587938635\right)+x^{17}\left(698255755\theta^4+5749394442\theta^3+16419399796\theta^2+20814436635\theta+9550138208\right)+x^{18}\left(206408655\theta^4+630883992\theta^3-382921555\theta^2-4052942572\theta-3878369584\right)-2^{3} x^{19}\left(15011337\theta^4+134546526\theta^3+382469296\theta^2+404733725\theta+122967534\right)-2^{4} x^{20}\left(1704271\theta^4+4092810\theta^3-2114254\theta^2-16703895\theta-13745412\right)+2^{6} x^{21}\left(186905\theta^4+1413862\theta^3+4086240\theta^2+4999141\theta+2192118\right)+2^{6} x^{22}\left(38911\theta^4+168220\theta^3+172367\theta^2-75610\theta-133744\right)-2^{9} 5 x^{23}\left(463\theta^4+3162\theta^3+8236\theta^2+9711\theta+4376\right)+2^{12} 5^{2} x^{24}\left((\theta+2)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 7, 105, 452635/243, 14933417/576, ... --> OEIS Normalized instanton numbers (n0=1): 22/3, -11327/36, -2493289/4374, 115727987299/1492992, 607258502821/3499200, ... ; Common denominator:...
\((z-1)(64z^6-600z^5+1279z^4+84z^3-1926z^2+76z-1)(z^2-z-1)(z+1)^2(40z^5+136z^4+187z^3+19z^2+z+1)^2(z-3)^3\)
No data for singularities
15
New Number: 24.7 | AESZ: | Superseeker: 56/5 559/5 | Hash: 336e13908a4135ad95bf2ff2d46bb83a
Degree: 24
\(5^{2} \theta^4-5 x\left(463\theta^4+542\theta^3+376\theta^2+105\theta+10\right)+x^{2}\left(38911\theta^4+143068\theta^3+96911\theta^2-8410\theta-16240\right)+2^{3} x^{3}\left(186905\theta^4+81378\theta^3+88788\theta^2+360435\theta+218380\right)-2^{4} x^{4}\left(1704271\theta^4+9541358\theta^3+14231390\theta^2+13669831\theta+5731218\right)-2^{6} x^{5}\left(15011337\theta^4-14455830\theta^3-64537772\theta^2-9052069\theta+7186452\right)+2^{6} x^{6}\left(206408655\theta^4+1020385248\theta^3+785582213\theta^2+1555725408\theta+951295884\right)+2^{9} x^{7}\left(698255755\theta^4-163348402\theta^3-1318828736\theta^2-1785386595\theta-1224199334\right)-2^{12} x^{8}\left(701991271\theta^4+5636192224\theta^3+3236990978\theta^2+5313693170\theta+2949161249\right)-2^{15} x^{9}\left(2875813642\theta^4+1575955464\theta^3+6139277016\theta^2+1953887232\theta-1856038805\right)+2^{18} x^{10}\left(1229738322\theta^4+13294024440\theta^3+20862382558\theta^2+22375916614\theta+8904938615\right)+2^{21} x^{11}\left(6972931522\theta^4+17811201184\theta^3+36844514644\theta^2+34937193792\theta+12478431857\right)-2^{24} x^{12}\left(47261798\theta^4+11860211352\theta^3+32287227386\theta^2+40575988626\theta+18913177361\right)-2^{27} x^{13}\left(8467877458\theta^4+45273450632\theta^3+105769155104\theta^2+120015813856\theta+53142585891\right)-2^{30} x^{14}\left(2826802128\theta^4+11976425928\theta^3+21189010304\theta^2+18893532010\theta+6423514809\right)+2^{33} x^{15}\left(3487867272\theta^4+31470146412\theta^3+100658721788\theta^2+137189138370\theta+68860829493\right)+2^{36} x^{16}\left(2111185276\theta^4+19848149672\theta^3+66367678882\theta^2+94157446170\theta+48413530837\right)+2^{39} x^{17}\left(273436034\theta^4+23130316\theta^3+6511960264\theta^2+7608261184\theta+3133380007\right)+2^{42} x^{18}\left(52275790\theta^4+280946856\theta^3+227424690\theta^2-418115838\theta-514600771\right)+2^{45} x^{19}\left(20429470\theta^4+130812944\theta^3+194301260\theta^2-19563992\theta-135286533\right)+2^{48} x^{20}\left(1075878\theta^4+4478424\theta^3+2790962\theta^2-6521222\theta-6473523\right)+2^{51} x^{21}\left(87074\theta^4-54408\theta^3-732848\theta^2-911880\theta-243705\right)+2^{54} 3 x^{22}\left(15627\theta^4+62744\theta^3+88505\theta^2+52758\theta+13139\right)-2^{57} 3^{2} x^{23}\left(219\theta^4+1306\theta^3+2940\theta^2+2959\theta+1123\right)+2^{60} 3^{3} x^{24}\left((\theta+2)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 2, 78, 1480, 50702, ... --> OEIS Normalized instanton numbers (n0=1): 56/5, -71/10, 559/5, 24361/10, 11458/5, ... ; Common denominator:...
\((8z-1)(4096z^6-38912z^5+123264z^4-672z^3-1279z^2+75z-1)(64z^2+8z-1)(8z+1)^2(4096z^5+512z^4+1216z^3+1496z^2+136z+5)^2(24z-1)^3\)
No data for singularities
16
New Number: 24.8 | AESZ: | Superseeker: 22/3 35165/81 | Hash: a55f1afcd10458bac8b9d9c275171011
Degree: 24
\(3^{3} \theta^4-3^{2} x\left(219\theta^4+374\theta^3+342\theta^2+155\theta+30\right)+3 x^{2}\left(8715\theta^4+82828\theta^3+113675\theta^2+68702\theta+18336\right)+2^{3} x^{3}\left(23974\theta^4-629914\theta^3-1795354\theta^2-1328249\theta-417252\right)-2^{4} x^{4}\left(5205555\theta^4+5099190\theta^3-19218986\theta^2-17848213\theta-6421110\right)+2^{6} x^{5}\left(13128703\theta^4+84859734\theta^3-6928550\theta^2-9050837\theta-38892108\right)+2^{6} x^{6}\left(373177657\theta^4-1468788832\theta^3+1253890595\theta^2+1956928576\theta+956763572\right)-2^{9} x^{7}\left(1688667811\theta^4-1112919962\theta^3+3037312026\theta^2+4371677095\theta+2210729039\right)+2^{12} x^{8}\left(2662679451\theta^4-255238536\theta^3+2538092342\theta^2+3811548030\theta+2128293765\right)-2^{15} x^{9}\left(953791122\theta^4-3960245472\theta^3-9075894672\theta^2-9052909620\theta-3413708141\right)-2^{18} x^{10}\left(3043951122\theta^4+13172197920\theta^3+29623696538\theta^2+30862971586\theta+12758725911\right)+2^{21} x^{11}\left(4763496210\theta^4+15821276280\theta^3+31984211728\theta^2+31247157648\theta+12262706725\right)-2^{24} x^{12}\left(1682795498\theta^4+2400347728\theta^3-2355650534\theta^2-10674138478\theta-7900949901\right)-2^{27} x^{13}\left(2193574746\theta^4+13880543424\theta^3+42005217848\theta^2+59881527604\theta+32688761243\right)+2^{30} x^{14}\left(2448319808\theta^4+14353869504\theta^3+42688146876\theta^2+63027644670\theta+36405012289\right)-2^{33} x^{15}\left(377925716\theta^4+2863232932\theta^3+10986923404\theta^2+21677497070\theta+15771297495\right)-2^{36} x^{16}\left(706556068\theta^4+4516047232\theta^3+13146097430\theta^2+16807977206\theta+7656657657\right)+2^{39} 3 x^{17}\left(134822030\theta^4+1171800288\theta^3+4420283552\theta^2+7617370500\theta+4788133925\right)+2^{42} 3^{2} x^{18}\left(1459810\theta^4-50032288\theta^3-387134278\theta^2-993008390\theta-791017029\right)-2^{45} 3^{2} x^{19}\left(8666834\theta^4+64412360\theta^3+161580112\theta^2+88320472\theta-56754879\right)+2^{48} 3^{3} x^{20}\left(753758\theta^4+9752016\theta^3+38809382\theta^2+54457710\theta+23423189\right)+2^{51} 3^{4} x^{21}\left(56362\theta^4+178832\theta^3-543496\theta^2-1653284\theta-947985\right)-2^{54} 3^{4} x^{22}\left(3732\theta^4+364960\theta^3+1135967\theta^2+1505510\theta+747681\right)+2^{57} 3^{6} 5 x^{23}\left(19\theta^4+546\theta^3+2398\theta^2+3873\theta+2173\right)+2^{60} 3^{8} 5^{2} x^{24}\left((\theta+2)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 10, 106, 1096, 1867871/144, ... --> OEIS Normalized instanton numbers (n0=1): 22/3, -775/18, 35165/81, -209072675/124416, 26536592913691/182250000, ... ; Common denominator:...
\(27-1971z-5445608554228327907328z^22+9980697350193398415360z^23+189107949793138075238400z^24+23883370048z^6-864597919232z^7+10906335031296z^8-31253827485696z^9-797953522925568z^10-48554163277605634048z^16+222357584498047057920z^17+26145z^2+191792z^3-83288880z^4+840236992z^5+57782810496372572160z^18+9989775603793920z^11-28232623553773568z^12-294416618606297088z^13+2628863376377249792z^14-3246357181074767872z^15-2744434010593261780992z^19+5728428418377707421696z^20+10280191229013163769856z^21\)
No data for singularities
17
New Number: 24.9 | AESZ: | Superseeker: -28/5 -2059/5 | Hash: df5798b125b79096c20bb76424736f4f
Degree: 24
\(5^{2} \theta^4+5 x\left(19\theta^4-394\theta^3-422\theta^2-225\theta-45\right)-x^{2}\left(37321\theta^4-66392\theta^3-158089\theta^2-146890\theta-42015\right)+3^{2} x^{3}\left(56362\theta^4+272064\theta^3-263800\theta^2-863100\theta-344265\right)+3^{3} x^{4}\left(753758\theta^4-3721952\theta^3-1612522\theta^2+7875882\theta+3789297\right)-3^{4} x^{5}\left(8666834\theta^4+4922312\theta^3-16890032\theta^2+62390344\theta+36295089\right)+2 3^{6} x^{6}\left(729905\theta^4+30855384\theta^3-25952555\theta^2+45786327\theta+3503895\right)+3^{7} x^{7}\left(134822030\theta^4-93224048\theta^3+625210544\theta^2+316465212\theta+17277309\right)-3^{8} x^{8}\left(706556068\theta^4+1136401312\theta^3+3007159670\theta^2+4193639906\theta+1801612197\right)-3^{10} x^{9}\left(377925716\theta^4+160172796\theta^3+2877742996\theta^2+5024274\theta-495055029\right)+3^{12} x^{10}\left(2448319808\theta^4+5232688960\theta^3+15324605244\theta^2+13824742642\theta+5444471349\right)-3^{14} x^{11}\left(2193574746\theta^4+3668054544\theta^3+11367751208\theta^2+11767214572\theta+4999425971\right)-3^{16} x^{12}\left(1682795498\theta^4+11062016256\theta^3+23629355050\theta^2+26296819542\theta+11746671063\right)+3^{18} x^{13}\left(4763496210\theta^4+22286693400\theta^3+51380463088\theta^2+59266252624\theta+27350967461\right)-3^{20} x^{14}\left(3043951122\theta^4+11179411056\theta^3+23645335946\theta^2+26971875430\theta+12853203483\right)-3^{22} x^{15}\left(953791122\theta^4+11590574448\theta^3+37576565088\theta^2+50793592500\theta+25331154139\right)+3^{24} x^{16}\left(2663679451\theta^4+21556674144\theta^3+67973830382\theta^2+94609426202\theta+49302346577\right)-3^{26} x^{17}\left(1688667811\theta^4+14622262450\theta^3+50242859262\theta^2+75169980505\theta+41538667624\right)+3^{28} x^{18}\left(373177657\theta^4+4454210088\theta^3+19022887355\theta^2+32625784812\theta+19779621968\right)+2^{3} 3^{30} x^{19}\left(13128703\theta^4+20169890\theta^3-263358082\theta^2-784811675\theta-603783258\right)-2^{4} 3^{32} x^{20}\left(5205555\theta^4+36545250\theta^3+75119194\theta^2+46359749\theta-5105268\right)+2^{6} 3^{37} x^{21}\left(239743\theta^4+2547858\theta^3+7737962\theta^2+9377577\theta+3933030\right)+2^{6} 3^{37} x^{22}\left(8715\theta^4-13108\theta^3-174133\theta^2-329058\theta-187552\right)-2^{9} 3^{40} x^{23}\left(219\theta^4+1378\theta^3+3354\theta^2+3733\theta+1600\right)+2^{12} 3^{43} x^{24}\left((\theta+2)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 9, 15, 45, -3159, ... --> OEIS Normalized instanton numbers (n0=1): -28/5, 233/10, -2059/5, 70897/10, -784822/5, ... ; Common denominator:...
\(25+95z+251150351349762689186880z^22-1363214712593135312598528z^23+1344540538448023869960192z^24+1064201490z^6+294855779610z^7-4635714362148z^8-22316135604084z^9+1301137527083328z^10+752301752679894551931z^16-4292367004180034217819z^17-37321z^2+507258z^3+20351466z^4-702013554z^5+8537107808017624006377z^18-10491800009300874z^11-72438828302462058z^12+1845476031027846690z^13-10613601289596047922z^14-29930976054016991298z^15+21624668188835316881976z^19-154335976146858322828080z^20+6908954524801624371053376z^21\)
No data for singularities