1
New Number: 16.14 | AESZ: | Superseeker: 256 1223936 | Hash: d10cd1b312c30ab12f758790dc9274ac
Degree: 16
\(\theta^4+2^{4} x\left(56\theta^4-104\theta^3-134\theta^2-82\theta-21\right)+2^{11} x^{2}\left(35\theta^4-436\theta^3-347\theta^2-119\theta+42\right)-2^{15} x^{3}\left(1966\theta^4+60\theta^3+16732\theta^2+19722\theta+9459\right)-2^{20} x^{4}\left(3584\theta^4+27304\theta^3+185836\theta^2+233924\theta+91509\right)-2^{27} x^{5}\left(12022\theta^4+11932\theta^3+55862\theta^2+66188\theta+7683\right)+2^{31} x^{6}\left(226300\theta^4+1586208\theta^3+4219376\theta^2+5722536\theta+3385737\right)+2^{36} x^{7}\left(438788\theta^4+2589688\theta^3+6773816\theta^2+9975396\theta+6761583\right)-2^{43} x^{8}\left(422486\theta^4+4780100\theta^3+19717558\theta^2+36354718\theta+25567071\right)-2^{49} x^{9}\left(303952\theta^4+3230064\theta^3+12848329\theta^2+23301081\theta+16479450\right)+2^{53} x^{10}\left(557664\theta^4+10324416\theta^3+63062300\theta^2+159895724\theta+146177745\right)+2^{58} x^{11}\left(989920\theta^4+15846592\theta^3+90575768\theta^2+223282616\theta+202862541\right)+2^{64} x^{12}\left(483232\theta^4+6857664\theta^3+35423928\theta^2+80004312\theta+67210461\right)+2^{71} x^{13}\left(63968\theta^4+880384\theta^3+4440756\theta^2+9817108\theta+8063427\right)+2^{79} x^{14}\left(2924\theta^4+38096\theta^3+187141\theta^2+410905\theta+340155\right)+2^{82} 3 x^{15}\left(880\theta^4+11424\theta^3+55992\theta^2+122760\theta+101547\right)+2^{88} 3^{2} x^{16}\left((2\theta+7)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 336, 90384, 22565120, 5339450640, ... --> OEIS Normalized instanton numbers (n0=1): 256, -9340, 1223936, -91401864, 19822164736, ... ; Common denominator:...
\(\)
No data for singularities
2
New Number: 21.7 | AESZ: | Superseeker: 256 92084530550528/1594323 | Hash: 867d38cda894ef7022e4a26a9ab51f9f
Degree: 21
\(3^{42} \theta^4+2^{4} 3^{40} x\left(516\theta^4+56\theta^3+262\theta^2+234\theta+53\right)+2^{10} 3^{38} x^{2}\left(5106\theta^4+77152\theta^3+115008\theta^2+53996\theta+10861\right)-2^{16} 3^{40} x^{3}\left(936845\theta^4-4862594\theta^3-5824256\theta^2-8099077\theta-2757908\right)-2^{22} 3^{34} x^{4}\left(11529576\theta^4+128964300\theta^3-338189406\theta^2-493244082\theta-182618887\right)-2^{26} 3^{32} x^{5}\left(500514588\theta^4+18229970928\theta^3+12869733114\theta^2-52250982762\theta-29243697797\right)+2^{32} 3^{30} x^{6}\left(86560500054\theta^4-79326171672\theta^3-986791026876\theta^2+439137932532\theta+488195215531\right)+2^{38} 3^{28} x^{7}\left(1126031723163\theta^4+9599969470422\theta^3-4059316985772\theta^2+4912598573685\theta+5496269008325\right)-2^{44} 3^{26} x^{8}\left(26677160172243\theta^4-72478573381464\theta^3-50709683505690\theta^2-116036907294126\theta-81695413665157\right)-2^{50} 3^{24} x^{9}\left(431886524515891\theta^4+1240446363892854\theta^3+2665632295542705\theta^2+2481050505590616\theta+793903531758358\right)+2^{56} 3^{22} x^{10}\left(700712967968889\theta^4-2709756882427628\theta^3-14639173981543549\theta^2-26780589781572636\theta-15474398827136332\right)+2^{64} 3^{20} x^{11}\left(9898193420281905\theta^4+42920851850724761\theta^3+100622451838922220\theta^2+106744748333244562\theta+42463347175147072\right)+2^{71} 3^{18} x^{12}\left(24722907630742609\theta^4+116310833106402953\theta^3+330693823126018751\theta^2+466707603794972107\theta+257649103796643160\right)-2^{78} 3^{16} x^{13}\left(19649143340698131\theta^4+263671869154614351\theta^3+783324331440747042\theta^2+957472432148435814\theta+405300703763246138\right)-2^{85} 3^{14} x^{14}\left(244173068128534842\theta^4+2109126155081437095\theta^3+6637545711572260536\theta^2+94473006524713146265\theta+5150239951425584630\right)-2^{92} 3^{12} x^{15}\left(662899060891147947\theta^4+5734208452224329925\theta^3+18889404120939619698\theta^2+28390701290585380086\theta+16344452904891135644\right)-2^{99} 3^{10} x^{16}\left(1034136762175706067\theta^4+9302313907380436869\theta^3+32246016992803951179\theta^2+50845900556017658043\theta+3056089659265081906\right)-2^{106} 3^{8} x^{17}\left(1048654195870794174\theta^4+9991274965314101103\theta^3+36648985530772085517\theta^2+60817854421932015714\theta+38203485567226156952\right)-2^{112} 3^{6} x^{18}(\theta+2)(1401903453377697173\theta^3+11608617239437549508\theta^2+33186295023097225499\theta+32514799580697886340)-2^{121} 3^{4} 5 13 x^{19}(\theta+2)(\theta+3)(2277036191931927\theta^2+14321540957911945\theta+23373087372373470)-2^{132} 3^{2} 5^{2} 13^{2} 71 x^{20}(\theta+2)(\theta+3)(\theta+4)(7392016434\theta+26196344467)-2^{141} 5^{3} 13^{3} 47 71^{2} 877 x^{21}(\theta+2)(\theta+3)(\theta+4)(\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -848/9, 85168/27, -14454504603904/59049, 70939732324154384/531441, ... --> OEIS Normalized instanton numbers (n0=1): 256, -9340, 92084530550528/1594323, 697835016403112/177147, -1369272606998167491328/553584375, ... ; Common denominator:...
\(109418989131512359209+100373686029974004181056z+7062987643328816748988416z^2-746445084884348991083173969920z^3-806484270633146937800367538176z^4-62241031038694461573972898086912z^5+76545076159698125965612647098351616z^6+7080853241444582705320959087835348992z^7-1192921945893666868689298334584198397952z^8-137334468194573202747289452444424605794304z^9+1584482751944740171190741737051117464846336z^10+636650014024597676983282152085695920320020480z^11+22615793151499527393361507911408803437502005248z^12-255636791542251327762520748396465746061341753344z^13-45179868010266816932930894687697602012787335233536z^14-1744464200926051551190999129642204860103559366049792z^15-38704378215196897440953113468678900380771626677960704z^16-558189775343935223698486750397954445984347656915255296z^17-5306463095870822405952683199628214450686875958857695232z^18-31871153671791561476249434669565357463801575225488834560z^19-108655051712081260364593415600946897254348546192808345600z^20-159068288132124951306641350126931982587192100018716672000z^21\)
No data for singularities