1
New Number: 16.9 | AESZ: | Superseeker: 212 9541288/3 | Hash: 240105a4e36aa5b2249227693cab5eda
Degree: 16
\(2^{4} \theta^4-2^{3} x\left(2488\theta^4+3860\theta^3+2742\theta^2+812\theta+93\right)+2^{2} x^{2}\left(849152\theta^4+826280\theta^3-8642\theta^2+30940\theta+64455\right)-2^{2} x^{3}\left(41951152\theta^4+15369288\theta^3+23120264\theta^2+21758694\theta+5436333\right)+3 x^{4}\left(354369472\theta^4+655910240\theta^3+1268958104\theta^2+924603592\theta+221096163\right)-2^{4} 3^{2} x^{5}\left(13951276\theta^4+44739826\theta^3+55966025\theta^2+15992369\theta-4965543\right)-2 3^{2} x^{6}\left(9228928\theta^4+170860656\theta^3+998590148\theta^2+1877333088\theta+1197851121\right)+2^{2} 3^{4} x^{7}\left(11029392\theta^4+79469656\theta^3+250838864\theta^2+378643990\theta+226165407\right)-3^{4} x^{8}\left(33964576\theta^4+277427296\theta^3+925454904\theta^2+1482249784\theta+947909481\right)-2^{3} 3^{4} x^{9}\left(696488\theta^4+7735356\theta^3+35539066\theta^2+72969912\theta+56161089\right)+2^{3} 3^{5} x^{10}\left(853696\theta^4+10255700\theta^3+48316999\theta^2+103978434\theta+85496214\right)-2^{2} 3^{6} x^{11}\left(338320\theta^4+4920088\theta^3+26876936\theta^2+65240426\theta+59359807\right)+3^{7} x^{12}\left(100032\theta^4+1937184\theta^3+12891336\theta^2+36174264\theta+36798485\right)+2^{4} 3^{7} x^{13}\left(1140\theta^4+7518\theta^3-11285\theta^2-151823\theta-245532\right)-2 3^{8} x^{14}\left(2176\theta^4+32848\theta^3+176556\theta^2+407920\theta+344813\right)+2^{2} 3^{9} x^{15}\left(16\theta^4+408\theta^3+2944\theta^2+8430\theta+8519\right)+3^{10} x^{16}\left((2\theta+7)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 93/2, 108135/8, 107524917/16, 525715348491/128, ... --> OEIS Normalized instanton numbers (n0=1): 212, 35875/2, 9541288/3, 1723495053/2, 290947666260, ... ; Common denominator:...
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No data for singularities
2
New Number: 21.6 | AESZ: | Superseeker: -212 -9541288/3 | Hash: 8c1981dec801ba472f74dbd4aeb1e449
Degree: 21
\(3^{42} \theta^4+3^{40} x\left(11193\theta^4+17122\theta^3+11972\theta^2+3411\theta+358\right)+3^{38} x^{2}\left(17172543\theta^4+13944124\theta^3-7448961\theta^2-6698818\theta-1352912\right)+3^{36} x^{3}\left(7623986411\theta^4-1406689790\theta^3-4679143919\theta^2-2135598238\theta-309764480\right)+2^{2} 3^{34} x^{4}\left(107300539503\theta^4-250019955888\theta^3-258789849609\theta^2-85308330798\theta-6426153128\right)+2^{3} 3^{32} x^{5}\left(615466867905\theta^4-5615254012620\theta^3+477267402663\theta^2+5125873486044\theta+2004799055444\right)-2^{3} 3^{30} x^{6}\left(15179183204277\theta^4+44327693386848\theta^3-101837397904755\theta^2-6726284681610\theta+27866254625560\right)-2^{5} 3^{28} x^{7}\left(64186722819243\theta^4-215754980857932\theta^3-92042840400945\theta^2-18216499975542\theta-32264096279540\right)+2^{5} 3^{26} x^{8}\left(386629194544875\theta^4+2319591699806988\theta^3+894830654246679\theta^2+1892551732716642\theta+1120700575307192\right)+2^{7} 3^{24} x^{9}\left(1616015182940627\theta^4+1217853262464366\theta^3+2967631110001839\theta^2+3597366366918852\theta+1388109125074832\right)-2^{7} 3^{22} x^{10}\theta(1592969834664357\theta^3+19162710148196200\theta^2+22132017876039581\theta+182212539198009351879059498022480)-2^{10} 3^{20} x^{11}\left(6626709287214126\theta^4+26341224632123156\theta^3+71345263693353519\theta^2+90785623377229237\theta+42741564797848648\right)-2^{9} 3^{18} x^{12}\left(3871549560900\theta^4+326347669405541116\theta^3+1223711819698189381\theta^2+1839544688669958974\theta+966922025175624248\right)-2^{11} 3^{16} x^{13}\left(511314534419823\theta^4+193078136631892056\theta^3+912641397626713341\theta^2+1538845851584694384\theta+801897116393286272\right)+2^{11} 3^{14} x^{14}\left(162587482061140953\theta^4+1273206406385294760\theta^3+39650017967829652441\theta^2+5933358408898247118\theta+3857065877910470776\right)+2^{13} 3^{12} x^{15}\left(178957592048590095\theta^4+1855851103326597780\theta^3+6561834904460773839\theta^2+9926113364829701826\theta+5612697385389169816\right)-2^{13} 3^{10} x^{16}\left(227688589006017975\theta^4+2324715144518515764\theta^3+11081138940427797627\theta^2+23708402425378557378\theta+18162481390963839512\right)-2^{15} 3^{8} x^{17}\left(3860746249068313034881961590591083591572437149\theta^4+32548498012709213796585886344618269624195842578\theta^3+106600208328623406852081322203232349063701235267\theta^2+159271835164391048103635375699061089168021192514\theta+90921608658777455089535106580461128011022197752\right)+2^{15} 3^{6} 23 43 x^{18}(\theta+2)(352841632605151\theta^3+4603243815261546\theta^2+17376223714542763\theta+20363935534606180)+2^{16} 3^{4} 5 13 23^{2} 43 x^{19}(\theta+2)(\theta+3)(445250285823\theta^2+1903543123055\theta+1680093208380)-2^{17} 3^{2} 5^{2} 13^{3} 23^{2} 43^{2} x^{20}(\theta+2)(\theta+3)(\theta+4)(5162559\theta+15500717)+2^{20} 5^{3} 13^{3} 23^{4} 43^{2} 163 x^{21}(\theta+2)(\theta+3)(\theta+4)(\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -358/9, 356770/27, -4831185272/729, 26637349891226/6561, ... --> OEIS Normalized instanton numbers (n0=1): -212, 35981/2, -9541288/3, 1723495053/2, -290947666260, ... ; Common denominator:...
\(109418989131512359209+136080749483224204069593z+23197559208363316587012327z^2+1144319459868322247582944731z^3+7157882375055125475651900828z^4+9123780254378993426904504840z^5-25002073713605386261324910184z^6-46988362761597801888691664736z^7+31448305211135448961176444000z^8+58420533640215001875649739136z^9-6398602411128455875156020864z^10-23660448330362924322456090624z^11-767957823524665999411200z^12-45077328089937955943184384z^13+1592629015524338243234727936z^14+779103450528929945001123840z^15-110139666368236383484108800z^16-830025110000015829298726502264605882591043916090212352z^17+8335920762627502018756608z^18+3494673773019600451338240z^19-327175001077900728729600z^20+24287110169755516928000z^21\)
No data for singularities