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You searched for: inst=368

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1

New Number: 16.16 |  AESZ:  |  Superseeker: 368 2223792  |  Hash: cb63667ce6ab5ee8bbd15f2f42131e1b  

Degree: 16

\(\theta^4-2^{3} x\left(8\theta^4+340\theta^3+268\theta^2+98\theta+17\right)-2^{6} x^{2}\left(8168\theta^4+12440\theta^3-15934\theta^2-17544\theta-6943\right)-2^{11} x^{3}\left(45916\theta^4-111756\theta^3-171918\theta^2-131805\theta-24415\right)+2^{12} x^{4}\left(3809536\theta^4+5399840\theta^3+9867864\theta^2+7180376\theta+2158825\right)-2^{20} x^{5}\left(551864\theta^4+2050994\theta^3+3153877\theta^2+2299060\theta+833317\right)+2^{22} x^{6}\left(365384\theta^4+2086728\theta^3+60954\theta^2-7175844\theta-6824113\right)+2^{25} x^{7}\left(7491184\theta^4+56611952\theta^3+184122960\theta^2+289483532\theta+180904967\right)-2^{28} x^{8}\left(15242656\theta^4+143150176\theta^3+536869976\theta^2+940895864\theta+642764281\right)-2^{35} x^{9}\left(344968\theta^4+4155516\theta^3+19641672\theta^2+42019650\theta+34190687\right)+2^{38} x^{10}\left(2533416\theta^4+33180600\theta^3+165711314\theta^2+371280128\theta+313733969\right)-2^{42} x^{11}\left(789320\theta^4+11533112\theta^3+62901156\theta^2+151695242\theta+136669133\right)-2^{44} x^{12}\left(121856\theta^4-421728\theta^3-13434024\theta^2-56826792\theta-71106279\right)+2^{52} x^{13}\left(8320\theta^4+101786\theta^3+440511\theta^2+790310\theta+476913\right)-2^{54} x^{14}\left(1928\theta^4+38504\theta^3+239914\theta^2+609892\theta+553167\right)-2^{57} 3 x^{15}\left(208\theta^4+2064\theta^3+7104\theta^2+9252\theta+2691\right)+2^{60} 3^{2} x^{16}\left((2\theta+7)^4\right)\)

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Coefficients of the holomorphic solution: 1, 136, 21936, 6207872, 2654088976, ...
--> OEIS
Normalized instanton numbers (n0=1): 368, -6434, 2223792, 7045475, 63017278672, ... ; Common denominator:...

Discriminant

\(\)

No data for singularities

Note:

This is operator "16.16" from ...

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2

New Number: 21.8 |  AESZ:  |  Superseeker: 368 2223792  |  Hash: 0384d7d9b55b9bb00bc5b7da443b2b67  

Degree: 21

\(3^{42} \theta^4-2^{4} 3^{40} x\left(33\theta^4+1282\theta^3+839\theta^2+198\theta+16\right)-2^{8} 3^{38} x^{2}\left(165867\theta^4+256436\theta^3-66903\theta^2+12394\theta+16781\right)-2^{12} 3^{36} x^{3}\left(16894271\theta^4-177350\theta^3+50437558\theta^2+29161169\theta+5410228\right)+2^{18} 3^{34} x^{4}\left(406954548\theta^4-692255868\theta^3-581398986\theta^2-613195209\theta-217105625\right)-2^{21} 3^{32} x^{5}\left(13270775040\theta^4-76099518120\theta^3-2159096391\theta^2+65325040851\theta+28609334834\right)-2^{25} 3^{30} x^{6}\left(201841036653\theta^4+789469404672\theta^3-911224910913\theta^2+338527864212\theta+513077007046\right)+2^{30} 3^{28} x^{7}\left(2452509522369\theta^4-3673794538626\theta^3+1414207510998\theta^2-2041380320589\theta-2618785893082\right)+2^{35} 3^{26} x^{8}\left(3428263912050\theta^4+31018531109052\theta^3+55743885033885\theta^2+68072262812187\theta+28762665057794\right)-2^{39} 3^{24} x^{9}\left(134770503023432\theta^4+44220786514246\theta^3+854897543075037\theta^2+735106407627921\theta+239794954141160\right)+2^{43} 3^{22} x^{10}\left(285561396899733\theta^4-425722186789840\theta^3-3778537247395403\theta^2-6783090182323578\theta-3851365537124480\right)+2^{49} 3^{20} x^{11}\left(1988751429822117\theta^4+12663345850205017\theta^3+33813066815088828\theta^2+40424098952384816\theta+17898103572371030\right)-2^{54} 3^{18} x^{12}\left(2375893329099175\theta^4+12141859980769613\theta^3+20882006811668477\theta^2+746336887550535\theta+7797657410473724\right)-2^{59} 3^{16} x^{13}\left(13698727730250867\theta^4+105232724265125469\theta^3+307085244169131249\theta^2+401472251506540701\theta+201379032870113398\right)-2^{64} 3^{14} x^{14}\left(9392821253669106\theta^4+112683603426739545\theta^3+458013328942563855\theta^2+776829395241861720\theta+478305324329040970\right)+2^{69} 3^{12} x^{15}\left(486469944983265\theta^4+436375240170765\theta^3-11687299408814358\theta^2-35566272536551548\theta-29472768107383732\right)+2^{74} 3^{10} 13 x^{16}\left(600119354060505\theta^4+4924983621391941\theta^3+11173426471596111\theta^2+6029141449355253\theta-3475484736360946\right)+2^{79} 3^{8} 13^{2} x^{17}\left(6735475996983\theta^4+159804937427151\theta^3+687186728894484\theta^2+1071141829643598\theta+553233267862004\right)-2^{83} 3^{6} 13^{3} x^{18}(\theta+2)(910795566793\theta^3-858565445972\theta^2-1700009105341\theta-24193158545360)-2^{90} 3^{4} 5 13^{4} x^{19}(\theta+2)(\theta+3)(1924297932\theta^2+4015747745\theta-3880807755)-2^{95} 3^{2} 5^{2} 7 13^{5} x^{20}(\theta+2)(\theta+3)(\theta+4)(1470387\theta+3085381)+2^{102} 5^{3} 7^{2} 13^{6} 151 x^{21}(\theta+2)(\theta+3)(\theta+4)(\theta+5)\)

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Coefficients of the holomorphic solution: 1, 256/9, 291568/27, 3099047936/729, 13359907507472/6561, ...
--> OEIS
Normalized instanton numbers (n0=1): 368, -6434, 2223792, 7045475, 63017278672, ... ; Common denominator:...

Discriminant

\(109418989131512359209-6419247362382058406928z-57359800794948141779497728z^2-10386388764072626736888999936z^3+1779133301522872490552409980928z^4-51571094340671578415245327073280z^5-1394430910417966287996514209890304z^6+60242877029170935272131685636898816z^7+299417181579863302735177813957017600z^8-20925449387456831041266346069428535296z^9+78823717835155979893098714129368088576z^10+3903690581286269245634770173195246895104z^11-16581708989186520720128949742516096204800z^12-339930437804806825769634688310498574729216z^13-828730545260757004638032051759263801933824z^14+152609219552727848206463256168646972538880z^15+8701882439614489248472354860957845988311040z^16+4514344443886463107924979750295490302836736z^17-14108087138219983140836691252839143515881472z^18-27554996191247608648332067821897578383933440z^19-34062660196370463082935944573128239847833600z^20+22636157752673954488208327407288564318208000z^21\)

No data for singularities

Note:

This is operator "21.8" from ...

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