1
New Number: 4.71 | AESZ: 353 | Superseeker: -4 -1580/9 | Hash: 33845d8200fe810109063e352fbfc8b1
Degree: 4
\(\theta^4-2^{2} x\left(52\theta^4+40\theta^3+37\theta^2+17\theta+3\right)+2^{4} x^{2}\left(960\theta^4+1536\theta^3+1512\theta^2+688\theta+123\right)-2^{8} x^{3}\left(1792\theta^4+4608\theta^3+5184\theta^2+2816\theta+597\right)+2^{14} x^{4}(4\theta+5)^2(4\theta+3)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, 12, 324, 11856, 504900, ... --> OEIS Normalized instanton numbers (n0=1): -4, -24, -1580/9, -1580, -17120, ... ; Common denominator:...
\((16z-1)(64z-1)^3\)
| \(0\) | \(\frac{ 1}{ 64}\) | \(\frac{ 1}{ 16}\) | \(\infty\) |
|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(\frac{ 3}{ 4}\) |
| \(0\) | \(\frac{ 1}{ 2}\) | \(1\) | \(\frac{ 3}{ 4}\) |
| \(0\) | \(\frac{ 3}{ 2}\) | \(1\) | \(\frac{ 5}{ 4}\) |
| \(0\) | \(2\) | \(2\) | \(\frac{ 5}{ 4}\) |
2
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
3
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