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You searched for: inst=-219/2

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1

New Number: 16.8 |  AESZ:  |  Superseeker: 12 13064/9  |  Hash: 6df7a0657df14d871f878801092f412c  

Degree: 16

\(2^{4} \theta^4+2^{3} 3 x\left(8\theta^4-92\theta^3-82\theta^2-36\theta-7\right)-2^{2} 3^{2} x^{2}\left(1088\theta^4-1192\theta^3-4206\theta^2-3004\theta-959\right)+2^{2} 3^{3} x^{3}\left(4560\theta^4+33768\theta^3-25736\theta^2-31794\theta-14623\right)+3^{5} x^{4}\left(100032\theta^4-536736\theta^3-96744\theta^2+29064\theta+61715\right)-2^{3} 3^{6} x^{5}\left(169160\theta^4-91804\theta^3+41266\theta^2+53386\theta+40577\right)+2 3^{7} x^{6}\left(3414784\theta^4+6784176\theta^3+13515220\theta^2+15009792\theta+7398205\right)-2^{2} 3^{8} x^{7}\left(1392976\theta^4+4030952\theta^3+11019392\theta^2+21953818\theta+17966595\right)-3^{10} x^{8}\left(33964576\theta^4+198076768\theta^3+508864632\theta^2+625406200\theta+298971681\right)+2^{3} 3^{12} x^{9}\left(5514696\theta^4+37470916\theta^3+113533894\theta^2+174129464\theta+110762081\right)-2^{3} 3^{12} x^{10}\left(2307232\theta^4-10413916\theta^3-29280133\theta^2+104107498\theta+229795002\right)-2^{2} 3^{14} x^{11}\left(55805104\theta^4+602312152\theta^3+2446466552\theta^2+4496900138\theta+3199953147\right)+3^{15} x^{12}\left(354369472\theta^4+4305262368\theta^3+20428056776\theta^2+44627766264\theta+37585137717\right)-2^{3} 3^{16} x^{13}\left(20975576\theta^4+285973420\theta^3+1472576206\theta^2+3384942194\theta+2924420331\right)+2 3^{18} x^{14}\left(1698304\theta^4+22123696\theta^3+107456180\theta^2+230344688\theta+183698835\right)-2^{2} 3^{20} x^{15}\left(4976\theta^4+61944\theta^3+290160\theta^2+606438\theta+477397\right)+3^{22} x^{16}\left((2\theta+7)^4\right)\)

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Coefficients of the holomorphic solution: 1, 21/2, 567/8, 2205/16, -261333/128, ...
--> OEIS
Normalized instanton numbers (n0=1): 12, -219/2, 13064/9, -51069/2, 518412, ... ; Common denominator:...

Discriminant

\(\)

No data for singularities

Note:

This is operator "16.8" from ...

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2

New Number: 21.4 |  AESZ:  |  Superseeker: 12 -73270936/9  |  Hash: ea0a19e2bbcb75ab0103e861337b3f2a  

Degree: 21

\(\theta^4+3 x\left(573\theta^4+346\theta^3+412\theta^2+239\theta+54\right)+3^{2} x^{2}\left(156063\theta^4+190252\theta^3+259127\theta^2+180550\theta+52656\right)+3^{3} x^{3}\left(26873063\theta^4+49571770\theta^3+76212373\theta^2+6106354\theta+20777568\right)+2^{2} 3^{4} x^{4}\left(820581957\theta^4+2034754740\theta^3+3492838265\theta^2+3133962118\theta+1190460168\right)+2^{4} 3^{6} x^{5}\left(6300362534\theta^4+19676778467\theta^3+37370330484\theta^2+36883703215\theta+15276339186\right)+2^{3} 3^{7} x^{6}\left(909135259983\theta^4+3431279279032\theta^3+7154070873743\theta^2+7670002845554\theta+3413524335720\right)+2^{6} 3^{8} x^{7}\left(6578661109677\theta^4+29157693414323\theta^3+66290838226280\theta^2+76488360260036\theta+36219329073882\right)+2^{5} 3^{9} x^{8}\left(621118841654771\theta^4+3165334819559244\theta^3+7801391210481967\theta^2+9618732171727698\theta+4811767929521208\right)-2^{8} 3^{11} x^{9}\left(1006971762683339\theta^4+5805767585264362\theta^3+154317312352859336\theta^2+20216923376831949\theta+10626549650623836\right)+2^{7} 3^{12} x^{10}\left(65010659394650453\theta^4+418646275727401384\theta^3+1194551569101777997\theta^2+1655275652516026742\theta+910294388309482488\right)+2^{9} 3^{13} x^{11}\left(436618025486403133\theta^4+3107758129098031614\theta^3+9480179119729435361\theta^2+13841832366370196760\theta+7936511785428285000\right)+2^{9} 3^{15} x^{12}\left(3253974365419639343\theta^4+25378994322658850220\theta^3+82459599652886212555\theta^2+1264452814346649241666\theta+7537566452320106004\right)+2^{12} 3^{16} x^{13}\left(7545567178315476151\theta^4+64015361780620462923\theta^3+220793041913868320297\theta^2+354629201172868320135\theta+219217347256983574500\right)+2^{11} 3^{17} x^{14}\left(2307919988301912384493\theta^4+2116501102196476284048\theta^3+7725401378678907468469\theta^2+12964454588967176832582\theta+8293341868591288772952\right)+2^{14} 3^{19} x^{15}\left(119959654773054384185\theta^4+1182698869985222762683\theta^3+4555730636505118858198\theta^2+7970714706688080962144\theta+5266713350723171529432\right)+2^{13} 3^{21} x^{16}\left(800735133480737687025\theta^4+8446905845515949546700\theta^3+34248485289203789137933\theta^2+62351252711799696042686\theta+42485364821351640163944\right)+2^{17} 3^{23} x^{17}\left(130854593635281335447\theta^4+1470740687678042633052\theta^3+6261882273616975205334\theta^2+11841616915017568640538\theta+8308392497254055969184\right)+2^{15} 3^{25} 23 43 x^{18}(\theta+2)(1044375511951501991\theta^3+10371017408154621546\theta^2+34841428344375119043\theta+39324906832335439780)+2^{16} 3^{29} 5 13 23^{2} 43 x^{19}(\theta+2)(\theta+3)(54356917074933\theta^2+414255137487765\theta+802667272851940)+2^{17} 3^{34} 5^{2} 13^{2} 23^{3} 43^{2} x^{20}(\theta+2)(\theta+3)(\theta+4)(13874987\theta+59815761)+2^{20} 3^{37} 5^{3} 13^{3} 23^{4} 43^{2} 163 x^{21}(\theta+2)(\theta+3)(\theta+4)(\theta+5)\)

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Coefficients of the holomorphic solution: 1, -162, 19710, -2134872, -11551097421/16, ...
--> OEIS
Normalized instanton numbers (n0=1): 12, -219/2, -73270936/9, 864369416211/512, -257294880950199/1000, ... ; Common denominator:...

Discriminant

\(1+1719z+1404567z^2+725572701z^3+265868554068z^4+73487428596576z^5+15906230508662568z^6+2762406114597811008z^7+391215429129307442976z^8-45665798872080756181248z^9+4422314219437111218274944z^10+356408402046750055533547008z^11+23905779481492695503999027712z^12+1330429645257537748395011567616z^13+610396494807586935900456329951232z^14+2284330751383039846541552834887680z^15+68615965231184830490826918224486400z^16+1614684803424676318995060487706247168z^17+28677036868562929135397434363145650176z^18+361483616787491842925284831575581982720z^19+2882785335303214648482273607706807500800z^20+10936094830042478173776091777549860864000z^21\)

No data for singularities

Note:

This is operator "21.4" from ...

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