1
New Number: 16.6 | AESZ: | Superseeker: 604 10582920 | Hash: ae9e6afa6a64c66b14ecc57c090a2276
Degree: 16
\(2^{4} \theta^4+2^{3} x\left(2632\theta^4-8020\theta^3-8134\theta^2-4124\theta-957\right)-2^{2} 3^{3} x^{2}\left(59584\theta^4+447880\theta^3-266330\theta^2-470004\theta-257157\right)-2^{2} 3^{6} x^{3}\left(2084848\theta^4-10624248\theta^3-6613144\theta^2-2338506\theta+2575629\right)+3^{10} x^{4}\left(76860224\theta^4+37515040\theta^3-123523576\theta^2-230682216\theta-89646143\right)-2^{4} 3^{13} x^{5}\left(47627428\theta^4+177706198\theta^3+314770123\theta^2+293923803\theta+123197247\right)+2 3^{18} x^{6}\left(109348352\theta^4+791269264\theta^3+2037777532\theta^2+2503390304\theta+1301617959\right)+2^{2} 3^{20} x^{7}\left(1118115152\theta^4+8230409176\theta^3+26430670096\theta^2+42292381622\theta+27424948395\right)-3^{24} x^{8}\left(6553002016\theta^4+67555786336\theta^3+267811589048\theta^2+484625497784\theta+337209119577\right)-2^{3} 3^{28} x^{9}\left(304315688\theta^4+3377868156\theta^3+14426600138\theta^2+28319769288\theta+21624447113\right)+2^{3} 3^{32} x^{10}\left(477772768\theta^4+6828823100\theta^3+36140835237\theta^2+84133602806\theta+72831614902\right)+2^{2} 3^{36} x^{11}\left(79307440\theta^4+1193232808\theta^3+6600824472\theta^2+15994957990\theta+14398159609\right)+3^{40} x^{12}\left(76769344\theta^4+964818528\theta^3+4370936856\theta^2+8483539176\theta+5938160775\right)+2^{4} 3^{44} x^{13}\left(268060\theta^4+3542666\theta^3+17044857\theta^2+35620691\theta+27340212\right)+2 3^{48} x^{14}\left(184064\theta^4+2048432\theta^3+8660500\theta^2+16541392\theta+12080907\right)+2^{2} 3^{53} x^{15}\left(976\theta^4+11928\theta^3+54912\theta^2+112878\theta+87435\right)+3^{58} x^{16}\left((2\theta+7)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 957/2, 1357479/8, 851677269/16, 2013405923979/128, ... --> OEIS Normalized instanton numbers (n0=1): 604, -114415/2, 10582920, -5127425229/2, 729802869084, ... ; Common denominator:...
\(\)
No data for singularities
2
New Number: 21.3 | AESZ: | Superseeker: 604 10582920 | Hash: 0fd57058f969bd31134f9f79e296c0f9
Degree: 21
\(\theta^4+x\left(1343\theta^4-1778\theta^3-764\theta^2+125\theta+66\right)-3^{2} x^{2}\left(45593\theta^4-39836\theta^3-300503\theta^2-49390\theta+8256\right)-3^{4} x^{3}\left(5315779\theta^4-22436590\theta^3+12417905\theta^2-4423046\theta-3436320\right)+2^{2} 3^{7} x^{4}\left(33165829\theta^4-83984944\theta^3+100931541\theta^2+65464310\theta+14379928\right)-2^{3} 3^{9} x^{5}\left(412867595\theta^4-807745220\theta^3+267839757\theta^2-775291748\theta-485511652\right)-2^{3} 3^{11} x^{6}\left(556633861\theta^4+23806734464\theta^3+32810072733\theta^2+3266735078\theta-4113971432\right)+2^{5} 3^{13} x^{7}\left(44865639929\theta^4+87314088364\theta^3+29372482841\theta^2-10389885822\theta-5801470580\right)-2^{5} 3^{15} x^{8}\left(248191185725\theta^4-1319906045564\theta^3-3008579460343\theta^2-3570359521002\theta-1619621855768\right)-2^{7} 3^{17} x^{9}\left(2027030169181\theta^4+8095416687338\theta^3+14847403664785\theta^2+12875521238580\theta+4137217359368\right)-2^{7} 3^{18} x^{10}\left(19769084125697\theta^4-23207015817320\theta^3-224931042213455\theta^2-414933989772154\theta-241223039844120\right)+2^{10} 3^{20} x^{11}\left(66470699961674\theta^4+356123349215404\theta^3+877696588249501\theta^2+986031897348491\theta+410402769146784\right)+2^{9} 3^{22} x^{12}\left(204476790719405\theta^4+1284198957269596\theta^3+4909805476904377\theta^2+8658668243389046\theta+5572245515714712\right)-2^{11} 3^{25} x^{13}\left(260642609069191\theta^4+2103631653651272\theta^3+6084644826452157\theta^2+7673591239771328\theta+3552810226513072\right)-2^{11} 3^{27} x^{14}\left(1672493659058951\theta^4+14558288605969720\theta^3+47922274214521863\theta^2+71039786187088354\theta+39928172322101096\right)-2^{13} 3^{29} x^{15}\left(1261266627490045\theta^4+11763130646927540\theta^3+41808812800607697\theta^2+67062525689554466\theta+40756862573452768\right)-2^{13} 3^{31} x^{16}\left(2353158847326895\theta^4+23388116071478852\theta^3+8848723658887083\theta^2+150434052273819498\theta+96333532960547480\right)-2^{16} 3^{33} x^{17}\left(729502329854189\theta^4+7715603649955858\theta^3+30907912005592067\theta^2+55250394473974194\theta+36919821250343152\right)-2^{16} 3^{35} x^{18}(\theta+2)(607445335050553\theta^3+5632812354059238\theta^2+17734223488403989\theta+18870922058442340)-2^{17} 3^{36} 5 13 x^{19}(\theta+2)(\theta+3)(7578367862189\theta^2+53502084304365\theta+96619101737140)-2^{18} 3^{38} 5^{2} 13^{2} 29 x^{20}(\theta+2)(\theta+3)(\theta+4)(640015067\theta+2536482721)-2^{21} 3^{40} 5^{3} 13^{3} 29^{2} 6053 x^{21}(\theta+2)(\theta+3)(\theta+4)(\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -66, 486, -1000344, -31772358, ... --> OEIS Normalized instanton numbers (n0=1): 604, -114415/2, 10582920, -5127425229/2, 729802869084, ... ; Common denominator:...
\(1+1343z-410337z^2-430578099z^3+290134672092z^4-65011782979080z^5-788848148596536z^6+2288970292752738144z^7-113960711750008082400z^8-33506688826105845312384z^9-980345374599637658346624z^10+237331455743914189872408576z^11+3285349559410005144582474240z^12-452279324262052460468163815424z^13-26119707525481762395689919768576z^14-709109388102656843246920415109120z^15-11906937792299181277244210008596480z^16-265771262614097226799419400902868992z^17-1991732669694524121606165442590867456z^18-9690900519638033397250239867320401920z^19-27769145151723697688948088004037836800z^20-35644033024133812048728597903704064000z^21\)
No data for singularities