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You searched for: inst=36788237721

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1

New Number: 16.4 |  AESZ:  |  Superseeker: 145 806426  |  Hash: e830ad7dc816bd020e0829b4201ed6ef  

Degree: 16

\(2^{4} \theta^4+2^{3} x\left(1120\theta^4-1972\theta^3-3868\theta^2-2882\theta-795\right)-2^{2} 3^{3} x^{2}\left(2828\theta^4+107624\theta^3+261482\theta^2+236736\theta+81531\right)-2^{3} 3^{6} x^{3}\left(166976\theta^4+510336\theta^3+1934650\theta^2+2127915\theta+835767\right)-3^{10} x^{4}\left(2426592\theta^4-1426176\theta^3+21304688\theta^2+28115480\theta+8918063\right)+2^{2} 3^{13} x^{5}\left(3093152\theta^4+35896400\theta^3+52847444\theta^2+60960414\theta+43992675\right)+3^{18} x^{6}\left(17651552\theta^4+115861568\theta^3+222158496\theta^2+266977288\theta+172865617\right)+2^{3} 3^{20} x^{7}\left(17249008\theta^4+47477792\theta^3-93884230\theta^2-319423097\theta-217950375\right)-3^{24} x^{8}\left(102317104\theta^4+1926767104\theta^3+8931639056\theta^2+16543419656\theta+11251205757\right)-2^{2} 3^{28} x^{9}\left(67685152\theta^4+752204232\theta^3+2843775988\theta^2+4682925630\theta+2900858497\right)-3^{32} x^{10}\left(169863760\theta^4+1219175264\theta^3+1858150248\theta^2-2723936152\theta-6458797919\right)+2^{3} 3^{36} x^{11}\left(3071888\theta^4+138114752\theta^3+1052933928\theta^2+2939453264\theta+2845108445\right)+2^{4} 3^{40} x^{12}\left(6607696\theta^4+109695552\theta^3+627419112\theta^2+1530482544\theta+1371274737\right)+2^{7} 3^{44} x^{13}\left(595184\theta^4+8689360\theta^3+46323360\theta^2+108260284\theta+94203393\right)+2^{6} 3^{48} x^{14}\left(453808\theta^4+6314464\theta^3+32788184\theta^2+75507848\theta+65158911\right)+2^{9} 3^{53} x^{15}\left(4016\theta^4+55104\theta^3+284280\theta^2+653328\theta+564183\right)+2^{12} 3^{58} x^{16}\left((2\theta+7)^4\right)\)

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Coefficients of the holomorphic solution: 1, 795/2, 1109619/8, 698413767/16, 1667994030819/128, ...
--> OEIS
Normalized instanton numbers (n0=1): 145, 8867/2, 806426, 294534843/2, 36788237721, ... ; Common denominator:...

Discriminant

\(\)

No data for singularities

Note:

This is operator "16.4" from ...

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2

New Number: 21.2 |  AESZ:  |  Superseeker: 145 806426  |  Hash: ddf19942f4f52eca019abc999883d2e7  

Degree: 21

\(\theta^4+x\left(587\theta^4+1246\theta^3+1369\theta^2+746\theta+147\right)-3^{2} x^{2}\left(4538\theta^4-110564\theta^3-185120\theta^2-147112\theta-41397\right)-3^{4} x^{3}\left(1035076\theta^4-1297528\theta^3-8818306\theta^2-12503444\theta-4451169\right)-3^{7} x^{4}\left(5161406\theta^4+38827744\theta^3-45479050\theta^2-167480140\theta-75253687\right)+3^{9} x^{5}\left(159899054\theta^4-1101213860\theta^3-1078605448\theta^2+3804990452\theta+2248946345\right)+3^{11} x^{6}\left(5267876320\theta^4+1946686040\theta^3-46791251270\theta^2+55528150012\theta+43890742249\right)+3^{13} x^{7}\left(17563180564\theta^4+401225871896\theta^3-655901346714\theta^2+606985455256\theta+604845400313\right)-3^{15} x^{8}\left(1259994296701\theta^4-4866373217248\theta^3+7077412135434\theta^2-2790221590796\theta-5020648151389\right)-3^{17} x^{9}\left(21213265990559\theta^4-8676665828906\theta^3+94601175296907\theta^2+60465698226818\theta+1680107104942\right)-2 3^{18} x^{10}\left(133064543096719\theta^4+54611528872550\theta^3+827508655813091\theta^2+1146281402499166\theta+486206586252414\right)+2^{2} 3^{20} x^{11}\left(836923718327372\theta^4+2812362687153940\theta^3+5749183912231555\theta^2+4551769716928361\theta+1498713844152636\right)+2^{3} 3^{22} x^{12}\left(6319644778425140\theta^4+21326885735408572\theta^3+51147468714283207\theta^2+55973943665205875\theta+25369328578636674\right)+2^{5} 3^{25} x^{13}\left(2515491341994233\theta^4+6636150963865252\theta^3+14766167680355081\theta^2+16085059047306740\theta+7728573825488804\right)-2^{6} 3^{27} x^{14}\left(1595788631100577\theta^4+31396355573419520\theta^3+99907101725437\theta^2+139949892911938966\theta+73481106611183740\right)-2^{6} 3^{29} x^{15}\left(54083947078919144\theta^4+458699316857101780\theta^3+1422193189173287603\theta^2+201146712387012863\theta+1091964433392840746\right)-2^{7} 3^{31} x^{16}\left(165377087197890154\theta^4+1379147217221991764\theta^3+4462174444406121927\theta^2+6607618876639848145\theta+3750999772752974582\right)-2^{8} 3^{33} x^{17}\left(275947984666295227\theta^4+2447447182773658994\theta^3+8424466306726177521\theta^2+13208651399879365162\theta+7892383981185068576\right)-2^{9} 3^{35} x^{18}(\theta+2)(275184606695268577\theta^3+2132288326473162492\theta^2+5728810650212969151\theta+5299681055825250460)-2^{12} 3^{36} 5 13 x^{19}(\theta+2)(\theta+3)(1830325216082219\theta^2+10883451053945415\theta+16805179155093040)-2^{15} 3^{38} 5^{2} 13^{2} 113 x^{20}(\theta+2)(\theta+3)(\theta+4)(18882098189\theta+63995895157)+2^{18} 3^{40} 5^{3} 13^{3} 31 113^{2} 2543 x^{21}(\theta+2)(\theta+3)(\theta+4)(\theta+5)\)

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Coefficients of the holomorphic solution: 1, -147, 14337, -1302879, 104484303, ...
--> OEIS
Normalized instanton numbers (n0=1): 145, 8867/2, 806426, 294534843/2, 36788237721, ... ; Common denominator:...

Discriminant

\(1+587z-40842z^2-83841156z^3-11287994922z^4+3147293079882z^5+933188486459040z^6+28001382726338172z^7-18079540983893055807z^8-2739484627783145721117z^9-103103860710184898551182z^10+11672690263563194003696688z^11+1586537195995719323873362080z^12+68203109159174388131050951008z^13-778805873401050080066850399936z^14-237555308634149277903010689289728z^15-13075075470984609694044454343403264z^16-392706959354590699011966158179512576z^17-7049170462937511183873685713565152768z^18-73141984157202493941822430975661813760z^19-399036867705738488408133122130441830400z^20+881038976390638748871606297587515392000z^21\)

No data for singularities

Note:

This is operator "21.2" from ...

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