Summary

You searched for: inst=-209072675/124416

Your search produced exactly one match

1

New Number: 24.8 |  AESZ:  |  Superseeker: 22/3 35165/81  |  Hash: a55f1afcd10458bac8b9d9c275171011  

Degree: 24

\(3^{3} \theta^4-3^{2} x\left(219\theta^4+374\theta^3+342\theta^2+155\theta+30\right)+3 x^{2}\left(8715\theta^4+82828\theta^3+113675\theta^2+68702\theta+18336\right)+2^{3} x^{3}\left(23974\theta^4-629914\theta^3-1795354\theta^2-1328249\theta-417252\right)-2^{4} x^{4}\left(5205555\theta^4+5099190\theta^3-19218986\theta^2-17848213\theta-6421110\right)+2^{6} x^{5}\left(13128703\theta^4+84859734\theta^3-6928550\theta^2-9050837\theta-38892108\right)+2^{6} x^{6}\left(373177657\theta^4-1468788832\theta^3+1253890595\theta^2+1956928576\theta+956763572\right)-2^{9} x^{7}\left(1688667811\theta^4-1112919962\theta^3+3037312026\theta^2+4371677095\theta+2210729039\right)+2^{12} x^{8}\left(2662679451\theta^4-255238536\theta^3+2538092342\theta^2+3811548030\theta+2128293765\right)-2^{15} x^{9}\left(953791122\theta^4-3960245472\theta^3-9075894672\theta^2-9052909620\theta-3413708141\right)-2^{18} x^{10}\left(3043951122\theta^4+13172197920\theta^3+29623696538\theta^2+30862971586\theta+12758725911\right)+2^{21} x^{11}\left(4763496210\theta^4+15821276280\theta^3+31984211728\theta^2+31247157648\theta+12262706725\right)-2^{24} x^{12}\left(1682795498\theta^4+2400347728\theta^3-2355650534\theta^2-10674138478\theta-7900949901\right)-2^{27} x^{13}\left(2193574746\theta^4+13880543424\theta^3+42005217848\theta^2+59881527604\theta+32688761243\right)+2^{30} x^{14}\left(2448319808\theta^4+14353869504\theta^3+42688146876\theta^2+63027644670\theta+36405012289\right)-2^{33} x^{15}\left(377925716\theta^4+2863232932\theta^3+10986923404\theta^2+21677497070\theta+15771297495\right)-2^{36} x^{16}\left(706556068\theta^4+4516047232\theta^3+13146097430\theta^2+16807977206\theta+7656657657\right)+2^{39} 3 x^{17}\left(134822030\theta^4+1171800288\theta^3+4420283552\theta^2+7617370500\theta+4788133925\right)+2^{42} 3^{2} x^{18}\left(1459810\theta^4-50032288\theta^3-387134278\theta^2-993008390\theta-791017029\right)-2^{45} 3^{2} x^{19}\left(8666834\theta^4+64412360\theta^3+161580112\theta^2+88320472\theta-56754879\right)+2^{48} 3^{3} x^{20}\left(753758\theta^4+9752016\theta^3+38809382\theta^2+54457710\theta+23423189\right)+2^{51} 3^{4} x^{21}\left(56362\theta^4+178832\theta^3-543496\theta^2-1653284\theta-947985\right)-2^{54} 3^{4} x^{22}\left(3732\theta^4+364960\theta^3+1135967\theta^2+1505510\theta+747681\right)+2^{57} 3^{6} 5 x^{23}\left(19\theta^4+546\theta^3+2398\theta^2+3873\theta+2173\right)+2^{60} 3^{8} 5^{2} x^{24}\left((\theta+2)^4\right)\)

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Coefficients of the holomorphic solution: 1, 10, 106, 1096, 1867871/144, ...
--> OEIS
Normalized instanton numbers (n0=1): 22/3, -775/18, 35165/81, -209072675/124416, 26536592913691/182250000, ... ; Common denominator:...

Discriminant

\(27-1971z-5445608554228327907328z^22+9980697350193398415360z^23+189107949793138075238400z^24+23883370048z^6-864597919232z^7+10906335031296z^8-31253827485696z^9-797953522925568z^10-48554163277605634048z^16+222357584498047057920z^17+26145z^2+191792z^3-83288880z^4+840236992z^5+57782810496372572160z^18+9989775603793920z^11-28232623553773568z^12-294416618606297088z^13+2628863376377249792z^14-3246357181074767872z^15-2744434010593261780992z^19+5728428418377707421696z^20+10280191229013163769856z^21\)

No data for singularities

Note:

This is operator "24.8" from ...

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