Summary

You searched for: superseeker=6,-32282291/54

Your search produced exactly one match

1

New Number: 24.4 |  AESZ:  |  Superseeker: 6 -32282291/54  |  Hash: b98c7f29efec34446d8add48441fa228  

Degree: 24

\(\theta^4-3 x\left(11\theta^4+34\theta^3+32\theta^2+15\theta+3\right)+3^{2} x^{2}\left(27\theta^4+733966\theta^3+171\right)+3^{3} x^{3}\left(2926\theta^4-5560\theta^3-16480\theta^2-11928\theta-3735\right)-3^{4} x^{4}\left(30606\theta^4+32760\theta^3-132070\theta^2-121130\theta-44307\right)+3^{6} x^{5}\left(15750\theta^4+248992\theta^3-218660\theta^2-267352\theta-113937\right)+3^{7} x^{6}\left(447390\theta^4-1611064\theta^3+997138\theta^2+1525654\theta+737721\right)-3^{8} x^{7}\left(4210518\theta^4-4046728\theta^3+6791528\theta^2+9988640\theta+5160861\right)+3^{9} x^{8}\left(16918876\theta^4+1291896\theta^3+31887842\theta^2+47907054\theta+27066537\right)-3^{11} x^{9}\left(5747912\theta^4-10506476\theta^3-26158764\theta^2-16601042\theta-464415\right)-3^{12} x^{10}\left(52637104\theta^4+232675688\theta^3+616661120\theta^2+721851010\theta+337522383\right)+3^{13} x^{11}\left(277041602\theta^4+1204855368\theta^3+2973647056\theta^2+35822628224\theta+1740716235\right)-3^{15} x^{12}\left(156460502\theta^4+624228888\theta^3+1065193690\theta^2+810960198\theta+193208541\right)-3^{16} x^{13}\left(238576054\theta^4+2173084944\theta^3+8426851964\theta^2+14067417072\theta+8577791883\right)+3^{17} x^{14}\left(1561753522\theta^4+11510031576\theta^3+37524000206\theta^2+58271908434\theta+34413775443\right)-3^{19} x^{15}\left(675921878\theta^4+4776222328\theta^3+14788847224\theta^2+23325064352\theta+14445727221\right)-3^{21} x^{16}\left(332578151\theta^4+2930405144\theta^3+10261391450\theta^2+15302524086\theta+8113699269\right)+3^{24} x^{17}\left(135646615\theta^4+1173472306\theta^3+4199227068\theta^2+6859331311\theta+4126872408\right)-3^{25} x^{18}\left(52966465\theta^4+612076328\theta^3+3045213907\theta^2+6814044204\theta+5181429744\right)-2^{3} 3^{27} x^{19}\left(9827313\theta^4+76454094\theta^3+203071208\theta^2+155130637\theta-15471658\right)+2^{4} 3^{29} x^{20}\left(1601399\theta^4+15660570\theta^3+55267842\theta^2+71870481\theta+28392908\right)+2^{6} 3^{31} x^{21}\left(101735\theta^4+542938\theta^3+535032\theta^2-332573\theta-382670\right)-2^{6} 3^{33} x^{22}\left(45889\theta^4+396580\theta^3+1148993\theta^2+1448570\theta+695584\right)-2^{9} 3^{35} 5 x^{23}\left(87\theta^4+138\theta^3-716\theta^2-2001\theta-1376\right)+2^{12} 3^{37} 5^{2} x^{24}\left((\theta+2)^4\right)\)

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Coefficients of the holomorphic solution: 1, 9, 513/8, -5851781/8, -32364933705/1024, ...
--> OEIS
Normalized instanton numbers (n0=1): 6, -1965/16, -32282291/54, 234744298799/32768, 976987022211008331/8000000, ... ; Common denominator:...

Discriminant

\(1-33z-16326382741674649276608z^22-11143025724449214743040z^23+46109071963238129971200z^24+978441930z^6-27625208598z^7+333014236308z^8-1018225367064z^9-27973515186864z^10-3478884927060667653z^16+38310610599666661815z^17+243z^2+79002z^3-2479086z^4+11481750z^5-44877882476961328995z^18+441693798025446z^11-2245037192371314z^12-10269916833818934z^13+201685104396904086z^14-785597953501675026z^15-599513066375840399448z^19+1758473882907940341072z^20+4021696190140630274880z^21\)

No data for singularities

Note:

This is operator "24.4" from ...

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