Summary

You searched for: sol=-24187032/3125

Your search produced exactly one match

1

New Number: 18.3 |  AESZ:  |  Superseeker: 5 581/3  |  Hash: c372ce2dd494d34fc57b5df64936f51c  

Degree: 18

\(5^{36} \theta^4-5^{34} x\left(2\theta^4-836\theta^3-2699\theta^2-2281\theta-630\right)-5^{32} x^{2}\left(698887\theta^4+1310668\theta^3+3112955\theta^2+2997674\theta+746520\right)-2^{3} 5^{30} x^{3}\left(11282513\theta^4+199109973\theta^3+523177303\theta^2+578740323\theta+324038340\right)+2^{4} 3 5^{29} x^{4}\left(401317179\theta^4-227554138\theta^3-5373356281\theta^2-15895489200\theta-11599171620\right)+2^{6} 3 5^{26} x^{5}\left(11263243979\theta^4+791366221015\theta^3-160326658805\theta^2-4059898325575\theta-6755896203750\right)-2^{8} 3^{2} 5^{24} x^{6}\left(1934872049749\theta^4-1341096414492\theta^3-68511464240363\theta^2-102864986512622\theta-49357274747760\right)+2^{11} 3^{3} 5^{22} x^{7}\left(13607429754249\theta^4+16249747070826\theta^3+401876825987315\theta^2+1907807179296418\theta+1692428384442540\right)-2^{10} 3^{3} 5^{20} x^{8}\left(5160905706602149\theta^4+56441436274688694\theta^3+403661385606953279\theta^2+1047643523187770214\theta+804115159386277320\right)+2^{14} 3^{3} 5^{19} x^{9}\left(1151529820336588\theta^4-1181163155304381\theta^3+256764872757165398\theta^2+1536085185463393515\theta+2500640236867231260\right)+2^{16} 3^{5} 5^{16} x^{10}\left(594101245255781471\theta^4+8961670542502273220\theta^3+46437396299074878210\theta^2+99662030142446455325\theta+69216104374293171750\right)-2^{19} 3^{4} 5^{14} x^{11}\left(74291722029541059287\theta^4+1183574257365465059374\theta^3+6916514969712951297931\theta^2+17379353991370872028439\theta+15703785992015099051145\right)+2^{22} 3^{5} 5^{12} x^{12}\left(502416470536394155727\theta^4+8188709537490429503068\theta^3+52120056197714921204260\theta^2+158115009556434238002824\theta+194698477555407992900670\right)-2^{25} 3^{7} 5^{10} x^{13}\left(626005255350815781413\theta^4+13253881452262727928658\theta^3+117818372049993889931293\theta^2+483180100764903933673163\theta+741048860476069680967965\right)+2^{28} 3^{7} 5^{9} x^{14}\left(874420567310412314036\theta^4+25864434705237018552178\theta^3+245139839684154313479541\theta^2+921313118467583765994485\theta+1172999354237578100725020\right)+2^{31} 3^{8} 5^{6} x^{15}(\theta+5)(46373998524485412599597\theta^3+1168043097949189558948575\theta^2+9727205507156459014349380\theta+26051899533079859738783100)-2^{36} 3^{10} 5^{4} x^{16}(\theta+6)(\theta+5)(55660208813949982213753\theta^2+901081058326717633680903\theta+3551264663537211482323991)+2^{39} 3^{10} 5^{2} 7 29 163 2053 x^{17}(\theta+5)(\theta+6)(\theta+7)(9756026997943757\theta+78186644916385582)-2^{45} 3^{11} 7^{2} 17 29^{2} 89 163^{2} 14723 2053^{2} x^{18}(\theta+5)(\theta+6)(\theta+7)(\theta+8)\)

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Coefficients of the holomorphic solution: 1, -126/5, 60078/125, -24187032/3125, 10439413614/78125, ...
--> OEIS
Normalized instanton numbers (n0=1): 5, -53/4, 581/3, -1231, 19810, ... ; Common denominator:...

Discriminant

\(-(136z+25)(89z-25)(64z-25)(25441344z^3-4822200z^2+635625z-15625)(336z+25)^2(31296z^2+1800z+625)^2(17146656z^3-3652800z^2+67500z+15625)^2\)

No data for singularities

Note:

This is operator "18.3" from ...

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