1
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
2
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