Summary

You searched for: superseeker=247/36,4444/9

Your search produced exactly one match

1

New Number: 18.4 |  AESZ:  |  Superseeker: 247/36 4444/9  |  Hash: 32fa46e290b3c9bee37ffb7a8fd9f4a9  

Degree: 18

\(2^{4} 3^{4} \theta^4-2^{2} 3^{2} x\left(3682\theta^4+5390\theta^3+4351\theta^2+1656\theta+252\right)+x^{2}\left(649332+6404206\theta^3+6069697\theta^2+3305113\theta^4+3016440\theta\right)-x^{3}\left(38636254\theta^4+15489180+108265181\theta^2+63679392\theta+93415794\theta^3\right)+x^{4}\left(764158344\theta^3+1036668572\theta^2+689221538\theta+184349683+256670733\theta^4\right)-x^{5}\left(3757797824\theta^3+5722058716\theta^2+4199976622\theta+1217504498+1069676441\theta^4\right)+x^{6}\left(14417904540\theta+4453297047+18342984749\theta^2+11509059738\theta^3+3046889312\theta^4\right)-x^{7}\left(6642155473\theta^4+24242800968\theta+7538554014+23131598018\theta^3+32019404863\theta^2\right)+2 x^{8}\left(6215749063\theta^4+17569348834\theta^3+11741029033\theta^2+1346877246\theta-1108958294\right)-2 x^{9}\left(10076009995\theta^4+24440563356\theta^3-1322218878\theta^2-28555856598\theta-15696067310\right)-x^{10}\left(49102102354-26413304169\theta^4-56670410178\theta^3+1614281629\theta^2+82337880208\theta\right)+x^{11}\left(47360089904\theta-39036891766\theta^3-6364831971\theta^2+31465171724-28479483424\theta^4\right)-x^{12}\left(43718118390\theta+18381816153+26430580224\theta^2-14524633248\theta^3-26803569313\theta^4\right)-x^{13}\left(18753392101\theta^4-62656633898\theta-24930556682+10542306176\theta^3-41804612332\theta^2\right)-x^{14}\left(20759304217+48901375684\theta+32921264817\theta^2-554448182\theta^3-6038807150\theta^4\right)+x^{15}\left(54976569672\theta+20722418334+2052372607\theta^4+51517404847\theta^2+19282089834\theta^3\right)-2 13 x^{16}\left(90710726\theta^4+669539662\theta^3+1753919819\theta^2+1925558652\theta+749345011\right)+2^{2} 7 13^{2} x^{17}(\theta+1)(100405\theta^3+577503\theta^2+1023193\theta+571997)-2^{4} 7^{2} 13^{3} x^{18}(\theta+1)(\theta+2)(4\theta+5)(4\theta+7)\)

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Coefficients of the holomorphic solution: 1, 7, 155, 5389, 228523, ...
--> OEIS
Normalized instanton numbers (n0=1): 247/36, 1427/36, 4444/9, 306173/36, 2193041/12, ... ; Common denominator:...

Discriminant

\(-(z-1)(832z^7-355z^6-2395z^5+4723z^4-3034z^3+823z^2-83z+1)(-36+329z-457z^2+269z^3-1439z^4+182z^5)^2\)

No data for singularities

Note:

This is operator "18.4" from ...

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