1
New Number: 5.7 | AESZ: 27 | Superseeker: 14/3 910/3 | Hash: 3671a1760894e9030e36de89070612e8
Degree: 5
\(3^{2} \theta^4-3 x\left(173\theta^4+340\theta^3+272\theta^2+102\theta+15\right)-2 x^{2}\left(1129\theta^4+5032\theta^3+7597\theta^2+4773\theta+1083\right)+2 x^{3}\left(843\theta^4+2628\theta^3+2353\theta^2+675\theta+6\right)-x^{4}\left(295\theta^4+608\theta^3+478\theta^2+174\theta+26\right)+x^{5}\left((\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 5, 109, 3317, 121501, ... --> OEIS Normalized instanton numbers (n0=1): 14/3, 175/6, 910/3, 14147/3, 265496/3, ... ; Common denominator:...
\((z^3-289z^2-57z+1)(z-3)^2\)
| ≈\(-0.213297\) | \(0\) | ≈\(0.016211\) | \(3\) | ≈\(289.197085\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(1\) | \(0\) | \(1\) | \(3\) | \(1\) | \(1\) |
| \(2\) | \(0\) | \(2\) | \(4\) | \(2\) | \(1\) |
2
New Number: 24.2 | AESZ: | Superseeker: 14/3 13813/81 | Hash: 41744bc2b21cfd322eaaeeef9708f32d
Degree: 24
\(3^{3} \theta^4-3^{2} x\left(51\theta^4+166\theta^3+126\theta^2+43\theta+6\right)-3 x^{2}\left(8565\theta^4-5068\theta^3-4379\theta^2+5314\theta+3696\right)+2^{3} x^{3}\left(97217\theta^4+85594\theta^3+1042\theta^2+126065\theta+85260\right)+2^{4} x^{4}\left(169515\theta^4-51450\theta^3+3610310\theta^2+2229139\theta+376554\right)-2^{6} x^{5}\left(54033673\theta^4+3817434\theta^3+23026430\theta^2+18524325\theta+5269236\right)+2^{6} x^{6}\left(56745577\theta^4-58947232\theta^3-9100317\theta^2-107018560\theta-95196876\right)+2^{9} x^{7}\left(65530931\theta^4+428839238\theta^3+747632002\theta^2+855490591\theta+415787350\right)-2^{12} x^{8}\left(224356709\theta^4+564772296\theta^3+806751290\theta^2+577253730\theta+163219723\right)+2^{15} x^{9}\left(114705522\theta^4-402572832\theta^3-1600120000\theta^2-2391161140\theta-1263777229\right)+2^{18} x^{10}\left(221581518\theta^4+1753790880\theta^3+4463022454\theta^2+5290385822\theta+2416009977\right)-2^{21} x^{11}\left(297104050\theta^4+1400293560\theta^3+2545523552\theta^2+1898196336\theta+390414885\right)+2^{24} x^{12}\left(10381942\theta^4-638906128\theta^3-3420395594\theta^2-6131585970\theta-3713844291\right)+2^{27} x^{13}\left(169708186\theta^4+1632741184\theta^3+5661963400\theta^2+8312515476\theta+4455840251\right)-2^{30} x^{14}\left(77350272\theta^4+671060736\theta^3+196015614\theta^2+2227548066\theta+858195311\right)-2^{33} x^{15}\left(17292844\theta^4+225530588\theta^3+1196571252\theta^2+2510894402\theta+1734945305\right)+2^{36} x^{16}\left(12130172\theta^4+177960128\theta^3+899828890\theta^2+1740569194\theta+1131946327\right)+2^{39} x^{17}\left(2418550\theta^4-1367904\theta^3-97574768\theta^2-250801932\theta-179706127\right)-2^{42} x^{18}\left(425070\theta^4+769632\theta^3-7412666\theta^2-16056554\theta-8835779\right)-2^{45} x^{19}\left(740094\theta^4+721836\theta^3+20106464\theta^2+17226568\theta+1351671\right)+2^{48} x^{20}\left(107306\theta^4+1324272\theta^3+3588658\theta^2+3406170\theta+914247\right)+2^{51} x^{21}\left(18758\theta^4+64528\theta^3+62232\theta^2+29908\theta+36609\right)+2^{54} x^{22}\left(7159\theta^4+51040\theta^3+122273\theta^2+126170\theta+49919\right)-2^{57} 5 x^{23}\left(491\theta^4+2994\theta^3+6902\theta^2+7137\theta+2797\right)+2^{60} 5^{2} x^{24}\left((\theta+2)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 2, 42, 184, 2282, ... --> OEIS Normalized instanton numbers (n0=1): 14/3, -337/18, 13813/81, -928499/486, 16107365/729, ... ; Common denominator:...
\(27-459z+128965078929381523456z^22-353802786726226165760z^23+28823037615171174400z^24+3631716928z^6+33551836672z^7-918965080064z^8+3758670544896z^9+58086265454592z^10+833579072557678592z^16+1329611923678822400z^17-25695z^2+777736z^3+2712240z^4-3458155072z^5-1869477630474977280z^18-623072352665600z^11+174180083433472z^12+22777847147921408z^13-83054222144176128z^14-148544398869659648z^15-26039742676712030208z^19+30203953850913652736z^20+42239260905107881984z^21\)
No data for singularities