Summary

You searched for: superseeker=53/5,-309836/1215

Your search produced exactly one match

1

New Number: 24.11 |  AESZ:  |  Superseeker: 53/5 -309836/1215  |  Hash: 682b45ff9c4177035e08e594ea968a40  

Degree: 24

\(5^{2} \theta^4-5 x\theta(780\theta^3+233\theta+45)+x^{2}\left(29459\theta^4+155852\theta^3+133609\theta^2+27010\theta-6000\right)-3^{2} x^{3}\left(170942\theta^4+5388\theta^3+123841\theta^2+538965\theta+289950\right)-2^{2} 3^{3} x^{4}\left(299324\theta^4+1917922\theta^3+2469992\theta^2+1887645\theta+792630\right)+3^{4} x^{5}\left(13371098\theta^4-15702340\theta^3-56878373\theta^2-21939359\theta-1565760\right)+3^{7} x^{6}\left(10056623\theta^4+51572556\theta^3+34820569\theta^2+76534814\theta+46490824\right)-3^{7} x^{7}\left(235027408\theta^4-62481208\theta^3-620667755\theta^2-694808037\theta-436763790\right)-3^{8} x^{8}\left(1103983063\theta^4+6898242712\theta^3+5618673632\theta^2+8342492360\theta+4306904496\right)+2 3^{10} x^{9}\left(1567811420\theta^4+1125299280\theta^3+2679400693\theta^2+929271741\theta-931458972\right)+2 3^{12} x^{10}\left(1091890963\theta^4+8818792004\theta^3+14797099953\theta^2+16119935558\theta+6720833160\right)-2 3^{14} x^{11}\left(4132995702\theta^4+11210477796\theta^3+22335304201\theta^2+21391532585\theta+7680128002\right)-2^{3} 3^{16} x^{12}\left(36094918\theta^4+2244000840\theta^3+5817619373\theta^2+7236866988\theta+3390157938\right)+2 3^{18} x^{13}\left(5245867146\theta^4+28750482372\theta^3+67038993743\theta^2+76465169633\theta+33958775428\right)-2 3^{20} x^{14}\left(2325299271\theta^4+9056959668\theta^3+15535709593\theta^2+13710343706\theta+4772169024\right)-2 3^{22} x^{15}\left(1937917032\theta^4+18692730384\theta^3+60632460723\theta^2+83153628009\theta+41806101938\right)+3^{24} x^{16}\left(3589458339\theta^4+31443345792\theta^3+101210591864\theta^2+140988740840\theta+71945494016\right)-3^{26} x^{17}\left(917154124\theta^4+7902286936\theta^3+25304271327\theta^2+35059224115\theta+17843355880\right)+3^{28} x^{18}\left(32843719\theta^4+454332780\theta^3+2174878229\theta^2+3835061490\theta+2302959008\right)+3^{30} x^{19}\left(28756154\theta^4+169682932\theta^3+218616787\theta^2-103588009\theta-230015838\right)-2^{2} 3^{32} x^{20}\left(1138248\theta^4+7399434\theta^3+14543734\theta^2+8831609\theta-443286\right)-3^{34} x^{21}\left(15470\theta^4-742908\theta^3-2759711\theta^2-3300309\theta-1216344\right)+3^{37} x^{22}\left(19299\theta^4+100277\theta^2+123674\theta+5048\right)-3^{40} x^{23}(12\theta^2+37\theta+29)(20\theta^2+59\theta+46)+3^{43} x^{24}\left((\theta+2)^4\right)\)

Maple   LaTex

Coefficients of the holomorphic solution: 1, 0, 15, 48296/27, 23854513/240, ...
--> OEIS
Normalized instanton numbers (n0=1): 53/5, 53/10, -309836/1215, -73952369/345600, 209793337409497/1687500000, ... ; Common denominator:...

Discriminant

\(25-3900z+8690029099790358108537z^22-2917839710173662912240z^23+328256967394537077627z^24+21993834501z^6-514004941296z^7-7243232876343z^8+185155393079160z^9+1160551250535366z^10+1013769054901630165059z^16-2331282727106618378796z^17+29459z^2-1538478z^3-32326992z^4+1083058938z^5+751358943012059239959z^18-39535980639598476z^11-12430142917311024z^12+4064712829864708788z^13-16215634451558943342z^14-121627779796976720976z^15+5920637101748069219946z^19-8436786095680921258272z^20-257996000893841822430z^21\)

No data for singularities

Note:

This is operator "24.11" from ...

Show more...  or download as   plain text  |  PDF  |  Maple  |  LaTex