01342_01432_04132_10342_10432

Counting sequence:
1, 1, 2, 6, 24, 115, 614, 3506, 20936, 129081, 815299, 5248283, 34307925, 227141576, 1520014376, 10265107120, 69871298220, 478863936073, 3301725829850, 22886769713482, 159400683763765, 1114921734091310, 7828251210024706, 55156220378547351, 389850284366178335, 2763481322425513291, 19641147458821974979, 139938579661941998296, 999280554641959556285, 7150637882736283809560, 51267857788796024372238, 368239918932509009054320, 2649414328249103204756463, 19092167012711909492538121, 137785745153677155360839841, 995768346851063653241689765, 7205795822898089365522974071, 52208696935382452726975329422, 378714002001391383628766283098, 2750174244769240424830461583525, 19992369673210009641212125846893, 145479014222351958615908009137685, 1059612245057057266889527784393943, 7724746273607037062980078935689877, 56362938011766770645536852343076347, 411583504176193145837284057663860152, 3007884771009900916793291289442921139, 21998261044419309509308369728958474163, 160999833353974995194525936701143280485, 1179123532055989958441929970645288608706, 8641272374486733162759608561261934706485, 63367860047514234766839121442976501050826, 464967382798777190702490003786876592604040, 3413719349204151986131063586941989809618982, 25076988544902079077130402899429869024269998, 184313055724214062755170639672086472419334301, 1355380950580380140954744075231264947275394168, 9972018897632528626973579406668440193202847515, 73402956994252099170850035323160139600212509343, 540561957654543296446542106641806975791238605733, 3982648247982446643037337600997707898766141871325, 29355292348883112432758460733273822583372459659086, 216462475681346992312118762453889881700386259768786, 1596815188863510516594023161594827508834378459939973, 11784112156850522115085799741874055308594182965120370, 86996920917960447093215805106705240387634633270046690, 642496214802216879712613709999043471933713218465560476, 4746702925603475046822408612694979494990974750988683797, 35080328331946483270241118761084780163398799393231983083, 259346806949701665820115083265745001283159609072967928202, 1917960044398550485269149551192115167964139532977591234352, 14188468502590414370637280475127554606134432321052210090054, 104994099842641623302911910094675964635270434215359449236691, 777184153249288339405807882250848855221490218320362854364969, 5754519437644129208569004907505251347105280923958364432443981, 42620332082936917629161211649103644895720440379774968757700769, 315750422480963534667987056758366287128748802470216338373751409, 2339845737036405048593359172203029710835957852027667304911035828, 17343775442964893821586942834695709999661377699303489257896979098, 128590907857175667307259639092205181998816018856398220067132402371, 953639593153644654524632621726812022445381367805873294349119151718, 7073966006496153691692230606962025126869027135703246546732355280566, 52486031947301389273001023903262998099943001023810538382724547087318, 389514903861679893579893387301913446542980509236466897875516596130855, 2891355997403129085152180706056246273654090579708718036535166584719375, 21467124367871478345094548940140271106116230782471121383068015200914587, 159418510143144069050400901228187916049206247735536405911709566274295370, 1184115372195918081449162360451677439264307493570545610641473327035614677, 8797060881758710518079864650899625581919584952557589272208130450642621354, 65368340444068407922553131278482667203928078155693058360093076141284490528, 485827004286683585553794037811273180606200973632478963340811837070501296426, 3611422379171472909778302488865572785004567219163427281533548835144403136009, 26850695285811077021019799301365032647708278995252328389491527367426205556502, 199669458075846293177109223695299972034487508134631271057273383572595247389923, 1485063030464079520734684600670520869806900932538292596532207411743541403203937, 11047235849045433691779960842993746893454534785196493500645460162461073208334000, 82193269526289281973880627897066779433615134095658794324038925922701046057814525, 611633449276799439752030851625558329090015888931167927794672696009632737457423228, 4552154986528401330786285877822818837118085198410258887312624264072424094606820438, 33885370318762611169510028273775912001349757628525941724749441058891721333326255648, 252275691941074769370822761272112161858053182041189904134817858416636455496421170556

Specification 1
Strategy pack name: point_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries
Tree: http://www.permpal.com/tree/25785/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[33,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[2,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[33,x]*F[8,x]
F[8,x] = F[10,x]+F[9,x]
F[9,x] = F[2,x]*F[4,x]
F[10,x] = F[11,x]+F[472,x]
F[11,x] = F[12,x]+F[247,x]
F[12,x] = F[13,x]+F[2,x]
F[13,x] = F[14,x]
F[14,x] = F[15,x]*F[33,x]
F[15,x] = F[16,x]+F[9,x]
F[16,x] = F[17,x]
F[17,x] = F[18,x]+F[5,x]
F[18,x] = F[19,x]
F[19,x] = F[20,x]*F[33,x]*F[471,x]
F[20,x] = F[21,x]+F[76,x]
F[21,x] = F[22,x]+F[24,x]
F[22,x] = F[0,x]*F[23,x]
F[23,x] = -2+x^2+8*x+F[23,x]^2*(x^2+4*x-1)+(2*x^2-13*x+4)*F[23,x]
F[24,x] = F[25,x]+F[64,x]
F[25,x] = F[26,x]
F[26,x] = F[27,x]*F[33,x]
F[27,x] = F[28,x]+F[61,x]
F[28,x] = F[29,x]+F[59,x]
F[29,x] = F[30,x]+F[41,x]
F[30,x] = F[1,x]+F[31,x]
F[31,x] = F[32,x]
F[32,x] = F[33,x]*F[34,x]
F[33,x] = x
F[34,x] = F[35,x]+F[38,x]
F[35,x] = F[1,x]+F[36,x]
F[36,x] = F[37,x]
F[37,x] = F[33,x]*F[35,x]
F[38,x] = F[39,x]
F[39,x] = F[30,x]*F[33,x]*F[35,x]*F[40,x]
F[40,x] = F[34,x]
F[41,x] = F[42,x]
F[42,x] = F[33,x]*F[43,x]
F[43,x] = F[44,x,1]
F[44,x,k[0]] = F[45,x]+F[57,x,k[0]]
F[45,x] = F[46,x]+F[49,x]
F[46,x] = F[30,x]+F[47,x]
F[47,x] = F[48,x]
F[48,x] = F[33,x]*F[43,x]
F[49,x] = F[50,x]
F[50,x] = F[30,x]*F[33,x]*F[46,x]*F[51,x]
F[51,x] = F[52,x,1]
F[52,x,k[0]] = (F[53,x,k[0]]*k[0]-F[53,x,1])/(-1+k[0])
F[53,x,k[0]] = F[1,x]+F[54,x,k[0]]
F[54,x,k[0]] = F[55,x,k[0]]
F[55,x,k[0]] = F[53,x,k[0]]^2*F[56,x,k[0]]
F[56,x,k[0]] = k[0]*x
F[57,x,k[0]] = F[58,x,k[0]]
F[58,x,k[0]] = F[30,x]*F[44,x,k[0]]*F[56,x,k[0]]
F[59,x] = F[51,x]*F[60,x]
F[60,x] = (x^2+4*x-1)*F[60,x]^2+(4*x^2-5*x+2)*F[60,x]+4*x^2-x
F[61,x] = F[30,x]*F[62,x]
F[62,x] = F[63,x]
F[63,x] = F[27,x]*F[33,x]
F[64,x] = F[65,x]
F[65,x] = F[33,x]*F[66,x]
F[66,x] = F[466,x]+F[67,x]
F[67,x] = F[465,x]+F[68,x]
F[68,x] = F[69,x]+F[70,x]
F[69,x] = F[2,x]*F[29,x]
F[70,x] = F[51,x]*F[71,x]
F[71,x] = F[72,x]
F[72,x] = F[33,x]*F[73,x]
F[73,x] = F[74,x]+F[76,x]
F[74,x] = F[64,x]+F[75,x]
F[75,x] = F[2,x]*F[23,x]
F[76,x] = F[235,x]+F[77,x]
F[77,x] = F[78,x]+F[79,x]
F[78,x] = F[2,x]+F[71,x]
F[79,x] = F[80,x]
F[80,x] = F[33,x]*F[81,x]
F[81,x] = F[82,x]
F[82,x] = -F[85,x]+F[83,x]
F[83,x] = 1/F[33,x]*F[84,x]
F[84,x] = F[78,x]
F[85,x] = F[86,x]+F[87,x]
F[86,x] = F[23,x]+F[78,x]
F[87,x] = F[88,x]
F[88,x] = F[33,x]*F[89,x]
F[89,x] = 1/F[33,x]*F[90,x]
F[90,x] = F[91,x]
F[91,x] = -F[104,x]+F[92,x]
F[92,x] = 1/F[33,x]*F[93,x]
F[93,x] = F[94,x]
F[94,x] = -F[2,x]+F[95,x]
F[95,x] = -F[0,x]+F[96,x]
F[96,x] = F[0,x]+F[97,x]
F[97,x] = F[98,x]
F[98,x] = F[33,x]*F[99,x]
F[99,x] = F[100,x]+F[454,x]
F[100,x] = F[101,x]+F[96,x]
F[101,x] = F[102,x]+F[12,x]
F[102,x] = F[103,x]
F[103,x] = F[104,x]*F[33,x]
F[104,x] = F[105,x]
F[105,x] = F[106,x]*F[33,x]
F[106,x] = F[107,x]+F[129,x]
F[107,x] = F[108,x]+F[117,x]
F[108,x] = F[109,x]*F[23,x]
F[109,x] = F[110,x]+F[34,x]
F[110,x] = F[111,x]+F[112,x]
F[111,x] = F[2,x]*F[30,x]
F[112,x] = F[113,x]
F[113,x] = F[114,x]*F[30,x]*F[33,x]
F[114,x] = F[110,x]+F[115,x]
F[115,x] = F[116,x]
F[116,x] = F[106,x]*F[33,x]
F[117,x] = F[118,x]*F[30,x]
F[118,x] = F[119,x]+F[121,x]
F[119,x] = F[120,x]*F[30,x]
F[120,x] = F[60,x]+F[71,x]
F[121,x] = F[122,x]
F[122,x] = F[123,x]*F[30,x]*F[33,x]
F[123,x] = 1/F[33,x]*F[124,x]
F[124,x] = F[125,x]
F[125,x] = -F[126,x]+F[104,x]
F[126,x] = F[127,x]+F[31,x]
F[127,x] = F[128,x]
F[128,x] = F[114,x]*F[33,x]
F[129,x] = F[130,x]+F[131,x]
F[130,x] = F[34,x]*F[78,x]
F[131,x] = F[132,x]
F[132,x] = F[133,x]*F[33,x]
F[133,x] = F[134,x]+F[464,x]
F[134,x] = F[110,x]*F[135,x]
F[135,x] = 1/F[33,x]*F[136,x]
F[136,x] = F[137,x]
F[137,x] = -F[23,x]+F[138,x]
F[138,x] = F[0,x]+F[139,x]
F[139,x] = F[140,x]
F[140,x] = F[141,x]*F[33,x]
F[141,x] = F[142,x]+F[146,x]
F[142,x] = F[138,x]+F[143,x]
F[143,x] = -F[146,x]+F[144,x]
F[144,x] = 1/F[33,x]*F[145,x]
F[145,x] = F[94,x]
F[146,x] = F[147,x]
F[147,x] = F[148,x]*F[33,x]
F[148,x] = F[149,x]+F[177,x]
F[149,x] = 1/F[33,x]*F[150,x]
F[150,x] = F[151,x]
F[151,x] = -F[154,x]+F[152,x]
F[152,x] = 1/F[33,x]*F[153,x]
F[153,x] = F[94,x]
F[154,x] = -F[159,x]+F[155,x]
F[155,x] = F[156,x]+F[157,x]
F[156,x] = F[0,x]*F[96,x]
F[157,x] = -F[158,x]+F[152,x]
F[158,x] = F[2,x]*F[96,x]
F[159,x] = F[160,x]+F[96,x]
F[160,x] = F[161,x]
F[161,x] = F[162,x]*F[33,x]
F[162,x] = F[163,x]+F[184,x]
F[163,x] = F[164,x]+F[165,x]
F[164,x] = F[0,x]*F[159,x]
F[165,x] = F[166,x]
F[166,x] = F[167,x]*F[33,x]
F[167,x] = F[168,x]+F[169,x]
F[168,x] = F[159,x]*F[99,x]
F[169,x] = F[170,x]
F[170,x] = F[171,x]*F[176,x]*F[33,x]
F[171,x] = 1/F[33,x]*F[172,x]
F[172,x] = F[173,x]
F[173,x] = -F[82,x]+F[174,x]
F[174,x] = 1/F[33,x]*F[175,x]
F[175,x] = F[71,x]
F[176,x] = 1/F[60,x]*F[177,x]
F[177,x] = -F[181,x]+F[178,x]
F[178,x] = 1/F[33,x]*F[179,x]
F[179,x] = F[180,x]
F[180,x] = -F[151,x]+F[157,x]
F[181,x] = F[182,x]+F[183,x]
F[182,x] = F[149,x]*F[2,x]
F[183,x] = F[176,x]*F[71,x]
F[184,x] = -F[459,x]+F[185,x]
F[185,x] = -F[191,x]+F[186,x]
F[186,x] = 1/F[33,x]*F[187,x]
F[187,x] = F[188,x]
F[188,x] = -F[189,x]+F[155,x]
F[189,x] = F[11,x]+F[190,x]
F[190,x] = F[0,x]^2
F[191,x] = F[192,x]+F[193,x]
F[192,x] = F[189,x]*F[96,x]
F[193,x] = F[194,x]
F[194,x] = F[195,x]*F[33,x]
F[195,x] = F[196,x]+F[197,x]
F[196,x] = F[149,x]*F[189,x]
F[197,x] = F[176,x]*F[198,x]
F[198,x] = -F[189,x]+F[199,x]
F[199,x] = -F[449,x]+F[200,x]
F[200,x] = 1/F[33,x]*F[201,x]
F[201,x] = F[202,x]
F[202,x] = -F[205,x]+F[203,x]
F[203,x] = 1/F[33,x]*F[204,x]
F[204,x] = F[6,x]
F[205,x] = F[206,x]+F[24,x]
F[206,x] = F[207,x]
F[207,x] = F[208,x]*F[33,x]
F[208,x] = F[209,x]+F[440,x]
F[209,x] = F[210,x]
F[210,x] = F[211,x]*F[33,x]*F[4,x]
F[211,x] = 1/F[33,x]*F[212,x]
F[212,x] = F[213,x]
F[213,x] = F[214,x]+F[78,x]
F[214,x] = F[215,x]
F[215,x] = F[216,x]*F[33,x]
F[216,x] = F[213,x]+F[217,x]
F[217,x] = F[218,x]+F[439,x]
F[218,x] = F[219,x]+F[68,x]
F[219,x] = F[220,x]
F[220,x] = F[221,x]*F[33,x]
F[221,x] = F[222,x]+F[223,x]
F[222,x] = F[213,x]*F[4,x]
F[223,x] = F[224,x]
F[224,x] = F[20,x]*F[225,x]*F[33,x]
F[225,x] = 1/F[30,x]/F[33,x]*F[226,x]
F[226,x] = F[227,x]
F[227,x] = 1/F[33,x]*F[228,x]
F[228,x] = F[229,x]
F[229,x] = -F[436,x]+F[230,x]
F[230,x] = -F[395,x]+F[231,x]
F[231,x] = F[232,x]
F[232,x] = -F[238,x]+F[233,x]
F[233,x] = 1/F[33,x]*F[234,x]
F[234,x] = F[235,x]
F[235,x] = -F[74,x]+F[236,x]
F[236,x] = -F[237,x]+F[203,x]
F[237,x] = F[25,x]+F[79,x]
F[238,x] = F[239,x]+F[435,x]
F[239,x] = -F[430,x]+F[240,x]
F[240,x] = 1/F[33,x]*F[241,x]
F[241,x] = F[242,x]
F[242,x] = -F[245,x]+F[243,x]
F[243,x] = 1/F[33,x]*F[244,x]
F[244,x] = F[6,x]
F[245,x] = F[101,x]+F[246,x]
F[246,x] = F[247,x]+F[420,x]
F[247,x] = F[248,x]
F[248,x] = F[249,x]*F[33,x]
F[249,x] = F[250,x]+F[251,x]
F[250,x] = F[12,x]*F[96,x]
F[251,x] = F[157,x]+F[252,x]
F[252,x] = F[253,x]
F[253,x] = F[254,x]*F[33,x]
F[254,x] = F[255,x]+F[256,x]
F[255,x] = F[12,x]*F[149,x]
F[256,x] = F[176,x]*F[257,x]
F[257,x] = -F[419,x]+F[258,x]
F[258,x] = F[259,x]+F[416,x]
F[259,x] = F[260,x]+F[262,x]
F[260,x] = F[261,x]+F[78,x]
F[261,x] = F[30,x]+F[60,x]
F[262,x] = F[127,x]+F[263,x]
F[263,x] = F[264,x]+F[75,x]
F[264,x] = F[265,x]
F[265,x] = F[266,x]*F[33,x]
F[266,x] = F[267,x]+F[268,x]
F[267,x] = F[4,x]*F[78,x]
F[268,x] = F[269,x]
F[269,x] = F[20,x]*F[270,x]*F[33,x]
F[270,x] = 1/F[33,x]*F[271,x]
F[271,x] = F[272,x]
F[272,x] = -F[30,x]+F[273,x]
F[273,x] = F[0,x]+F[274,x]
F[274,x] = F[275,x]
F[275,x] = F[276,x]*F[33,x]
F[276,x] = F[277,x]+F[414,x]
F[277,x] = F[278,x]+F[96,x]
F[278,x] = 1/F[60,x]*F[279,x]
F[279,x] = -F[412,x]+F[280,x]
F[280,x] = -F[408,x]+F[281,x]
F[281,x] = 1/F[33,x]*F[282,x]
F[282,x] = F[283,x]
F[283,x] = -F[405,x]+F[284,x]
F[284,x] = -F[287,x]+F[285,x]
F[285,x] = 1/F[33,x]*F[286,x]
F[286,x] = F[6,x]
F[287,x] = F[288,x]+F[289,x]
F[288,x] = F[138,x]*F[2,x]
F[289,x] = F[290,x]
F[290,x] = F[291,x]*F[33,x]
F[291,x] = F[292,x]+F[319,x]
F[292,x] = F[293,x]+F[299,x]
F[293,x] = F[294,x]+F[295,x]
F[294,x] = F[141,x]*F[2,x]
F[295,x] = F[296,x]*F[71,x]
F[296,x] = F[277,x]+F[297,x]
F[297,x] = F[298,x]
F[298,x] = F[176,x]*F[30,x]*F[33,x]
F[299,x] = F[300,x]*F[79,x]
F[300,x] = F[301,x]+F[96,x]
F[301,x] = 1/F[316,x]*F[302,x]
F[302,x] = F[303,x]
F[303,x] = -F[307,x]+F[304,x]
F[304,x] = 1/F[33,x]*F[305,x]
F[305,x] = F[306,x]
F[306,x] = -F[95,x]+F[151,x]
F[307,x] = -F[317,x]+F[308,x]
F[308,x] = 1/F[33,x]*F[309,x]
F[309,x] = F[310,x]
F[310,x] = -F[97,x]+F[311,x]
F[311,x] = F[312,x]
F[312,x] = F[313,x]*F[33,x]
F[313,x] = F[163,x]+F[314,x]
F[314,x] = F[315,x]
F[315,x] = F[176,x]*F[316,x]*F[33,x]
F[316,x] = F[213,x]+F[29,x]
F[317,x] = F[318,x]
F[318,x] = F[176,x]*F[316,x]*F[33,x]
F[319,x] = F[320,x]+F[325,x]
F[320,x] = F[321,x]+F[323,x]
F[321,x] = F[141,x]*F[322,x]
F[322,x] = F[2,x]+F[6,x]
F[323,x] = F[296,x]*F[324,x]
F[324,x] = -F[322,x]+F[202,x]
F[325,x] = F[300,x]*F[326,x]
F[326,x] = F[327,x]
F[327,x] = F[328,x]*F[33,x]
F[328,x] = F[329,x]+F[330,x]
F[329,x] = -F[200,x]+F[171,x]
F[330,x] = F[331,x]+F[404,x]
F[331,x] = F[332,x]+F[394,x]
F[332,x] = F[333,x]+F[355,x]
F[333,x] = F[334,x]*F[96,x]
F[334,x] = F[335,x]
F[335,x] = F[33,x]*F[336,x]
F[336,x] = F[337,x]+F[353,x]
F[337,x] = F[338,x]+F[41,x]
F[338,x] = F[30,x]+F[339,x]
F[339,x] = F[340,x]
F[340,x] = F[33,x]*F[341,x]*F[349,x]
F[341,x] = F[1,x]+F[342,x]
F[342,x] = F[343,x]
F[343,x] = F[33,x]*F[344,x]
F[344,x] = F[341,x]+F[345,x]
F[345,x] = F[346,x]+F[36,x]
F[346,x] = F[347,x]
F[347,x] = F[33,x]*F[348,x]
F[348,x] = F[342,x]+F[346,x]
F[349,x] = F[350,x]+F[351,x]
F[350,x] = F[30,x]*F[35,x]
F[351,x] = F[352,x,1]
F[352,x,k[0]] = -k[0]*(F[54,x,1]-F[54,x,k[0]])/(-1+k[0])
F[353,x] = F[354,x]
F[354,x] = F[33,x]*F[338,x]*F[35,x]
F[355,x] = F[356,x]
F[356,x] = F[33,x]*F[357,x]
F[357,x] = F[358,x]+F[392,x]
F[358,x] = F[359,x,1]
F[359,x,k[0]] = F[360,x]*F[390,x,k[0]]
F[360,x] = F[173,x]+F[361,x]
F[361,x] = F[362,x,1]
F[362,x,k[0]] = F[363,x,k[0]]
F[363,x,k[0]] = F[364,x,k[0]]*F[56,x,k[0]]
F[364,x,k[0]] = F[365,x,k[0]]+F[370,x,k[0]]
F[365,x,k[0]] = F[366,x,k[0]]*F[367,x,k[0]]
F[366,x,k[0]] = F[173,x]+F[362,x,k[0]]
F[367,x,k[0]] = F[1,x]+F[368,x,k[0]]
F[368,x,k[0]] = F[369,x,k[0]]
F[369,x,k[0]] = F[367,x,k[0]]*F[56,x,k[0]]
F[371,x,k[0]] = F[370,x,k[0]]+F[388,x,k[0]]
F[372,x,k[0]] = F[371,x,k[0]]*F[56,x,k[0]]
F[372,x,k[0]] = F[373,x,k[0]]
F[374,x,k[0]] = -k[0]*(F[373,x,1]-F[373,x,k[0]])/(-1+k[0])
F[374,x,k[0]] = F[375,x,k[0]]
F[375,x,k[0]] = F[376,x,k[0]]*F[56,x,k[0]]
F[376,x,k[0]] = F[377,x,k[0]]+F[384,x,k[0]]
F[377,x,k[0]] = F[378,x]+F[380,x,k[0]]
F[378,x] = 1/F[33,x]*F[379,x]
F[379,x] = F[82,x]
F[380,x,k[0]] = -k[0]*(F[381,x,1]-F[381,x,k[0]])/(-1+k[0])
F[381,x,k[0]] = F[373,x,k[0]]+F[382,x,k[0]]
F[382,x,k[0]] = F[383,x,k[0]]
F[383,x,k[0]] = F[30,x]*F[33,x]*F[373,x,k[0]]*F[51,x]
F[384,x,k[0]] = k[0]*F[385,x,k[0]]
F[385,x,k[0]] = 1/(-1+k[0])*(F[386,x,k[0]]*k[0]-F[386,x,1])
F[386,x,k[0]] = F[387,x,k[0]]
F[387,x,k[0]] = F[30,x]*F[33,x]*F[371,x,k[0]]
F[388,x,k[0]] = F[367,x,k[0]]*F[389,x,k[0]]
F[389,x,k[0]] = F[373,x,k[0]]+F[85,x]
F[390,x,k[0]] = F[351,x]+F[391,x,k[0]]
F[391,x,k[0]] = F[30,x]*F[367,x,k[0]]
F[392,x] = F[30,x]*F[393,x]
F[393,x] = F[370,x,1]
F[394,x] = F[395,x]
F[395,x] = F[396,x]
F[396,x] = F[33,x]*F[397,x]
F[397,x] = F[398,x]+F[401,x]
F[398,x] = F[399,x]*F[96,x]
F[399,x] = F[400,x]
F[400,x] = F[211,x]*F[33,x]
F[401,x] = F[173,x]*F[402,x]
F[402,x] = F[403,x]
F[403,x] = F[225,x]*F[33,x]
F[404,x] = F[230,x]
F[405,x] = F[406,x]
F[406,x] = F[33,x]*F[407,x]*F[96,x]
F[407,x] = F[23,x]+F[25,x]
F[408,x] = F[409,x]+F[411,x]
F[409,x] = F[146,x]+F[410,x]
F[410,x] = F[297,x]*F[60,x]
F[411,x] = F[25,x]*F[301,x]
F[412,x] = F[139,x]+F[413,x]
F[413,x] = -F[97,x]+F[143,x]
F[414,x] = F[415,x]
F[415,x] = F[30,x]*F[301,x]
F[416,x] = F[417,x]+F[418,x]
F[417,x] = F[120,x]+F[125,x]
F[418,x] = F[120,x]*F[31,x]
F[419,x] = F[12,x]+F[316,x]
F[420,x] = F[421,x]
F[421,x] = F[33,x]*F[422,x]
F[422,x] = F[423,x]+F[428,x]
F[423,x] = F[424,x]
F[424,x] = F[33,x]*F[425,x]*F[427,x]
F[425,x] = F[217,x]+F[426,x]
F[426,x] = F[213,x]+F[27,x]
F[427,x] = F[2,x]+F[95,x]
F[428,x] = F[429,x]
F[429,x] = F[301,x]*F[33,x]*F[425,x]
F[430,x] = F[431,x]+F[432,x]
F[431,x] = F[23,x]*F[96,x]
F[432,x] = -F[332,x]+F[433,x]
F[433,x] = 1/F[33,x]*F[434,x]
F[434,x] = F[64,x]
F[435,x] = -F[240,x]+F[171,x]
F[436,x] = F[437,x]
F[437,x] = F[33,x]*F[402,x]*F[438,x]
F[438,x] = F[213,x]+F[41,x]
F[439,x] = F[214,x]*F[30,x]
F[440,x] = F[441,x]
F[441,x] = F[33,x]*F[442,x]
F[442,x] = F[443,x]+F[445,x]
F[443,x] = F[225,x]*F[444,x]
F[444,x] = F[120,x]+F[324,x]
F[445,x] = F[205,x]*F[446,x]
F[446,x] = F[316,x]+F[447,x]
F[447,x] = F[448,x]
F[448,x] = F[30,x]*F[33,x]*F[446,x]
F[449,x] = -F[329,x]+F[450,x]
F[450,x] = -F[457,x]+F[451,x]
F[451,x] = 1/F[33,x]*F[452,x]
F[452,x] = F[453,x]
F[453,x] = -F[455,x]+F[454,x]
F[454,x] = F[242,x]+F[246,x]
F[455,x] = F[247,x]+F[456,x]
F[456,x] = F[0,x]*F[2,x]
F[457,x] = F[458,x]
F[458,x] = F[102,x]*F[40,x]
F[459,x] = F[460,x]
F[460,x] = F[33,x]*F[461,x]*F[462,x]
F[461,x] = F[218,x]+F[59,x]
F[462,x] = 1/F[33,x]*F[463,x]
F[463,x] = F[301,x]
F[464,x] = F[118,x]*F[270,x]
F[465,x] = F[30,x]*F[79,x]
F[466,x] = F[467,x]+F[468,x]
F[467,x] = F[236,x]*F[30,x]
F[468,x] = F[469,x]+F[470,x]
F[469,x] = F[322,x]*F[41,x]
F[470,x] = F[324,x]*F[351,x]
F[471,x] = F[272,x]+F[31,x]
F[472,x] = F[473,x]
F[473,x] = F[33,x]*F[474,x]
F[474,x] = F[320,x]+F[475,x]
F[475,x] = F[205,x]*F[300,x]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{33}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{33}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{10}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{2}\! \left(x \right) F_{4}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{472}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{247}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)+F_{2}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right) F_{33}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)+F_{9}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{5}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right) F_{33}\! \left(x \right) F_{471}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)+F_{76}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)+F_{24}\! \left(x \right)
F_{22}\! \left(x \right) = F_{0}\! \left(x \right) F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = x^{2} F_{23} \left(x \right)^{2}+2 x^{2} F_{23}\! \left(x \right)+4 x F_{23} \left(x \right)^{2}+x^{2}-13 x F_{23}\! \left(x \right)-F_{23} \left(x \right)^{2}+8 x +4 F_{23}\! \left(x \right)-2
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)+F_{64}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right) F_{33}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)+F_{61}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)+F_{59}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)+F_{41}\! \left(x \right)
F_{30}\! \left(x \right) = F_{1}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right) F_{34}\! \left(x \right)
F_{33}\! \left(x \right) = x
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)+F_{38}\! \left(x \right)
F_{35}\! \left(x \right) = F_{1}\! \left(x \right)+F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{33}\! \left(x \right) F_{35}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{30}\! \left(x \right) F_{33}\! \left(x \right) F_{35}\! \left(x \right) F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{34}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{33}\! \left(x \right) F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x , 1\right)
F_{44}\! \left(x , y\right) = F_{45}\! \left(x \right)+F_{57}\! \left(x , y\right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)+F_{49}\! \left(x \right)
F_{46}\! \left(x \right) = F_{30}\! \left(x \right)+F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{33}\! \left(x \right) F_{43}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{30}\! \left(x \right) F_{33}\! \left(x \right) F_{46}\! \left(x \right) F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x , 1\right)
F_{52}\! \left(x , y\right) = -\frac{-y F_{53}\! \left(x , y\right)+F_{53}\! \left(x , 1\right)}{-1+y}
F_{53}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{54}\! \left(x , y\right)
F_{54}\! \left(x , y\right) = F_{55}\! \left(x , y\right)
F_{55}\! \left(x , y\right) = F_{53}\! \left(x , y\right)^{2} F_{56}\! \left(x , y\right)
F_{56}\! \left(x , y\right) = y x
F_{57}\! \left(x , y\right) = F_{58}\! \left(x , y\right)
F_{58}\! \left(x , y\right) = F_{30}\! \left(x \right) F_{44}\! \left(x , y\right) F_{56}\! \left(x , y\right)
F_{59}\! \left(x \right) = F_{51}\! \left(x \right) F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = x^{2} F_{60} \left(x \right)^{2}+4 x^{2} F_{60}\! \left(x \right)+4 x F_{60} \left(x \right)^{2}+4 x^{2}-5 x F_{60}\! \left(x \right)-F_{60} \left(x \right)^{2}-x +2 F_{60}\! \left(x \right)
F_{61}\! \left(x \right) = F_{30}\! \left(x \right) F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{27}\! \left(x \right) F_{33}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{33}\! \left(x \right) F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{466}\! \left(x \right)+F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{465}\! \left(x \right)+F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)+F_{70}\! \left(x \right)
F_{69}\! \left(x \right) = F_{2}\! \left(x \right) F_{29}\! \left(x \right)
F_{70}\! \left(x \right) = F_{51}\! \left(x \right) F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{33}\! \left(x \right) F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)+F_{76}\! \left(x \right)
F_{74}\! \left(x \right) = F_{64}\! \left(x \right)+F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{2}\! \left(x \right) F_{23}\! \left(x \right)
F_{76}\! \left(x \right) = F_{235}\! \left(x \right)+F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)+F_{79}\! \left(x \right)
F_{78}\! \left(x \right) = F_{2}\! \left(x \right)+F_{71}\! \left(x \right)
F_{79}\! \left(x \right) = F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{33}\! \left(x \right) F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = -F_{85}\! \left(x \right)+F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = \frac{F_{84}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{84}\! \left(x \right) = F_{78}\! \left(x \right)
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)+F_{87}\! \left(x \right)
F_{86}\! \left(x \right) = F_{23}\! \left(x \right)+F_{78}\! \left(x \right)
F_{87}\! \left(x \right) = F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{33}\! \left(x \right) F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = \frac{F_{90}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = -F_{104}\! \left(x \right)+F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = \frac{F_{93}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{93}\! \left(x \right) = F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{0}\! \left(x \right)+F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{33}\! \left(x \right) F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)+F_{454}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)+F_{96}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)+F_{12}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right) F_{33}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right) F_{33}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right)+F_{129}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)+F_{117}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right) F_{23}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)+F_{34}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)+F_{112}\! \left(x \right)
F_{111}\! \left(x \right) = F_{2}\! \left(x \right) F_{30}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right) F_{30}\! \left(x \right) F_{33}\! \left(x \right)
F_{114}\! \left(x \right) = F_{110}\! \left(x \right)+F_{115}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = F_{106}\! \left(x \right) F_{33}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right) F_{30}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)+F_{121}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right) F_{30}\! \left(x \right)
F_{120}\! \left(x \right) = F_{60}\! \left(x \right)+F_{71}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right) F_{30}\! \left(x \right) F_{33}\! \left(x \right)
F_{123}\! \left(x \right) = \frac{F_{124}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)
F_{125}\! \left(x \right) = -F_{126}\! \left(x \right)+F_{104}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)+F_{31}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)
F_{128}\! \left(x \right) = F_{114}\! \left(x \right) F_{33}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)+F_{131}\! \left(x \right)
F_{130}\! \left(x \right) = F_{34}\! \left(x \right) F_{78}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right) F_{33}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right)+F_{464}\! \left(x \right)
F_{134}\! \left(x \right) = F_{110}\! \left(x \right) F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = \frac{F_{136}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{136}\! \left(x \right) = F_{137}\! \left(x \right)
F_{137}\! \left(x \right) = -F_{23}\! \left(x \right)+F_{138}\! \left(x \right)
F_{138}\! \left(x \right) = F_{0}\! \left(x \right)+F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right) F_{33}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)+F_{146}\! \left(x \right)
F_{142}\! \left(x \right) = F_{138}\! \left(x \right)+F_{143}\! \left(x \right)
F_{143}\! \left(x \right) = -F_{146}\! \left(x \right)+F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = \frac{F_{145}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{145}\! \left(x \right) = F_{94}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right) F_{33}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right)+F_{177}\! \left(x \right)
F_{149}\! \left(x \right) = \frac{F_{150}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = -F_{154}\! \left(x \right)+F_{152}\! \left(x \right)
F_{152}\! \left(x \right) = \frac{F_{153}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{153}\! \left(x \right) = F_{94}\! \left(x \right)
F_{154}\! \left(x \right) = -F_{159}\! \left(x \right)+F_{155}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right)+F_{157}\! \left(x \right)
F_{156}\! \left(x \right) = F_{0}\! \left(x \right) F_{96}\! \left(x \right)
F_{157}\! \left(x \right) = -F_{158}\! \left(x \right)+F_{152}\! \left(x \right)
F_{158}\! \left(x \right) = F_{2}\! \left(x \right) F_{96}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right)+F_{96}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right) F_{33}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)+F_{184}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right)+F_{165}\! \left(x \right)
F_{164}\! \left(x \right) = F_{0}\! \left(x \right) F_{159}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)
F_{166}\! \left(x \right) = F_{167}\! \left(x \right) F_{33}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)+F_{169}\! \left(x \right)
F_{168}\! \left(x \right) = F_{159}\! \left(x \right) F_{99}\! \left(x \right)
F_{169}\! \left(x \right) = F_{170}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right) F_{176}\! \left(x \right) F_{33}\! \left(x \right)
F_{171}\! \left(x \right) = \frac{F_{172}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{172}\! \left(x \right) = F_{173}\! \left(x \right)
F_{173}\! \left(x \right) = -F_{82}\! \left(x \right)+F_{174}\! \left(x \right)
F_{174}\! \left(x \right) = \frac{F_{175}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{175}\! \left(x \right) = F_{71}\! \left(x \right)
F_{176}\! \left(x \right) = \frac{F_{177}\! \left(x \right)}{F_{60}\! \left(x \right)}
F_{177}\! \left(x \right) = -F_{181}\! \left(x \right)+F_{178}\! \left(x \right)
F_{178}\! \left(x \right) = \frac{F_{179}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{179}\! \left(x \right) = F_{180}\! \left(x \right)
F_{180}\! \left(x \right) = -F_{151}\! \left(x \right)+F_{157}\! \left(x \right)
F_{181}\! \left(x \right) = F_{182}\! \left(x \right)+F_{183}\! \left(x \right)
F_{182}\! \left(x \right) = F_{149}\! \left(x \right) F_{2}\! \left(x \right)
F_{183}\! \left(x \right) = F_{176}\! \left(x \right) F_{71}\! \left(x \right)
F_{184}\! \left(x \right) = -F_{459}\! \left(x \right)+F_{185}\! \left(x \right)
F_{185}\! \left(x \right) = -F_{191}\! \left(x \right)+F_{186}\! \left(x \right)
F_{186}\! \left(x \right) = \frac{F_{187}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{187}\! \left(x \right) = F_{188}\! \left(x \right)
F_{188}\! \left(x \right) = -F_{189}\! \left(x \right)+F_{155}\! \left(x \right)
F_{189}\! \left(x \right) = F_{11}\! \left(x \right)+F_{190}\! \left(x \right)
F_{190}\! \left(x \right) = F_{0} \left(x \right)^{2}
F_{191}\! \left(x \right) = F_{192}\! \left(x \right)+F_{193}\! \left(x \right)
F_{192}\! \left(x \right) = F_{189}\! \left(x \right) F_{96}\! \left(x \right)
F_{193}\! \left(x \right) = F_{194}\! \left(x \right)
F_{194}\! \left(x \right) = F_{195}\! \left(x \right) F_{33}\! \left(x \right)
F_{195}\! \left(x \right) = F_{196}\! \left(x \right)+F_{197}\! \left(x \right)
F_{196}\! \left(x \right) = F_{149}\! \left(x \right) F_{189}\! \left(x \right)
F_{197}\! \left(x \right) = F_{176}\! \left(x \right) F_{198}\! \left(x \right)
F_{198}\! \left(x \right) = -F_{189}\! \left(x \right)+F_{199}\! \left(x \right)
F_{199}\! \left(x \right) = -F_{449}\! \left(x \right)+F_{200}\! \left(x \right)
F_{200}\! \left(x \right) = \frac{F_{201}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{201}\! \left(x \right) = F_{202}\! \left(x \right)
F_{202}\! \left(x \right) = -F_{205}\! \left(x \right)+F_{203}\! \left(x \right)
F_{203}\! \left(x \right) = \frac{F_{204}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{204}\! \left(x \right) = F_{6}\! \left(x \right)
F_{205}\! \left(x \right) = F_{206}\! \left(x \right)+F_{24}\! \left(x \right)
F_{206}\! \left(x \right) = F_{207}\! \left(x \right)
F_{207}\! \left(x \right) = F_{208}\! \left(x \right) F_{33}\! \left(x \right)
F_{208}\! \left(x \right) = F_{209}\! \left(x \right)+F_{440}\! \left(x \right)
F_{209}\! \left(x \right) = F_{210}\! \left(x \right)
F_{210}\! \left(x \right) = F_{211}\! \left(x \right) F_{33}\! \left(x \right) F_{4}\! \left(x \right)
F_{211}\! \left(x \right) = \frac{F_{212}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{212}\! \left(x \right) = F_{213}\! \left(x \right)
F_{213}\! \left(x \right) = F_{214}\! \left(x \right)+F_{78}\! \left(x \right)
F_{214}\! \left(x \right) = F_{215}\! \left(x \right)
F_{215}\! \left(x \right) = F_{216}\! \left(x \right) F_{33}\! \left(x \right)
F_{216}\! \left(x \right) = F_{213}\! \left(x \right)+F_{217}\! \left(x \right)
F_{217}\! \left(x \right) = F_{218}\! \left(x \right)+F_{439}\! \left(x \right)
F_{218}\! \left(x \right) = F_{219}\! \left(x \right)+F_{68}\! \left(x \right)
F_{219}\! \left(x \right) = F_{220}\! \left(x \right)
F_{220}\! \left(x \right) = F_{221}\! \left(x \right) F_{33}\! \left(x \right)
F_{221}\! \left(x \right) = F_{222}\! \left(x \right)+F_{223}\! \left(x \right)
F_{222}\! \left(x \right) = F_{213}\! \left(x \right) F_{4}\! \left(x \right)
F_{223}\! \left(x \right) = F_{224}\! \left(x \right)
F_{224}\! \left(x \right) = F_{20}\! \left(x \right) F_{225}\! \left(x \right) F_{33}\! \left(x \right)
F_{225}\! \left(x \right) = \frac{F_{226}\! \left(x \right)}{F_{30}\! \left(x \right) F_{33}\! \left(x \right)}
F_{226}\! \left(x \right) = F_{227}\! \left(x \right)
F_{227}\! \left(x \right) = \frac{F_{228}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{228}\! \left(x \right) = F_{229}\! \left(x \right)
F_{229}\! \left(x \right) = -F_{436}\! \left(x \right)+F_{230}\! \left(x \right)
F_{230}\! \left(x \right) = -F_{395}\! \left(x \right)+F_{231}\! \left(x \right)
F_{231}\! \left(x \right) = F_{232}\! \left(x \right)
F_{232}\! \left(x \right) = -F_{238}\! \left(x \right)+F_{233}\! \left(x \right)
F_{233}\! \left(x \right) = \frac{F_{234}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{234}\! \left(x \right) = F_{235}\! \left(x \right)
F_{235}\! \left(x \right) = -F_{74}\! \left(x \right)+F_{236}\! \left(x \right)
F_{236}\! \left(x \right) = -F_{237}\! \left(x \right)+F_{203}\! \left(x \right)
F_{237}\! \left(x \right) = F_{25}\! \left(x \right)+F_{79}\! \left(x \right)
F_{238}\! \left(x \right) = F_{239}\! \left(x \right)+F_{435}\! \left(x \right)
F_{239}\! \left(x \right) = -F_{430}\! \left(x \right)+F_{240}\! \left(x \right)
F_{240}\! \left(x \right) = \frac{F_{241}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{241}\! \left(x \right) = F_{242}\! \left(x \right)
F_{242}\! \left(x \right) = -F_{245}\! \left(x \right)+F_{243}\! \left(x \right)
F_{243}\! \left(x \right) = \frac{F_{244}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{244}\! \left(x \right) = F_{6}\! \left(x \right)
F_{245}\! \left(x \right) = F_{101}\! \left(x \right)+F_{246}\! \left(x \right)
F_{246}\! \left(x \right) = F_{247}\! \left(x \right)+F_{420}\! \left(x \right)
F_{247}\! \left(x \right) = F_{248}\! \left(x \right)
F_{248}\! \left(x \right) = F_{249}\! \left(x \right) F_{33}\! \left(x \right)
F_{249}\! \left(x \right) = F_{250}\! \left(x \right)+F_{251}\! \left(x \right)
F_{250}\! \left(x \right) = F_{12}\! \left(x \right) F_{96}\! \left(x \right)
F_{251}\! \left(x \right) = F_{157}\! \left(x \right)+F_{252}\! \left(x \right)
F_{252}\! \left(x \right) = F_{253}\! \left(x \right)
F_{253}\! \left(x \right) = F_{254}\! \left(x \right) F_{33}\! \left(x \right)
F_{254}\! \left(x \right) = F_{255}\! \left(x \right)+F_{256}\! \left(x \right)
F_{255}\! \left(x \right) = F_{12}\! \left(x \right) F_{149}\! \left(x \right)
F_{256}\! \left(x \right) = F_{176}\! \left(x \right) F_{257}\! \left(x \right)
F_{257}\! \left(x \right) = -F_{419}\! \left(x \right)+F_{258}\! \left(x \right)
F_{258}\! \left(x \right) = F_{259}\! \left(x \right)+F_{416}\! \left(x \right)
F_{259}\! \left(x \right) = F_{260}\! \left(x \right)+F_{262}\! \left(x \right)
F_{260}\! \left(x \right) = F_{261}\! \left(x \right)+F_{78}\! \left(x \right)
F_{261}\! \left(x \right) = F_{30}\! \left(x \right)+F_{60}\! \left(x \right)
F_{262}\! \left(x \right) = F_{127}\! \left(x \right)+F_{263}\! \left(x \right)
F_{263}\! \left(x \right) = F_{264}\! \left(x \right)+F_{75}\! \left(x \right)
F_{264}\! \left(x \right) = F_{265}\! \left(x \right)
F_{265}\! \left(x \right) = F_{266}\! \left(x \right) F_{33}\! \left(x \right)
F_{266}\! \left(x \right) = F_{267}\! \left(x \right)+F_{268}\! \left(x \right)
F_{267}\! \left(x \right) = F_{4}\! \left(x \right) F_{78}\! \left(x \right)
F_{268}\! \left(x \right) = F_{269}\! \left(x \right)
F_{269}\! \left(x \right) = F_{20}\! \left(x \right) F_{270}\! \left(x \right) F_{33}\! \left(x \right)
F_{270}\! \left(x \right) = \frac{F_{271}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{271}\! \left(x \right) = F_{272}\! \left(x \right)
F_{272}\! \left(x \right) = -F_{30}\! \left(x \right)+F_{273}\! \left(x \right)
F_{273}\! \left(x \right) = F_{0}\! \left(x \right)+F_{274}\! \left(x \right)
F_{274}\! \left(x \right) = F_{275}\! \left(x \right)
F_{275}\! \left(x \right) = F_{276}\! \left(x \right) F_{33}\! \left(x \right)
F_{276}\! \left(x \right) = F_{277}\! \left(x \right)+F_{414}\! \left(x \right)
F_{277}\! \left(x \right) = F_{278}\! \left(x \right)+F_{96}\! \left(x \right)
F_{278}\! \left(x \right) = \frac{F_{279}\! \left(x \right)}{F_{60}\! \left(x \right)}
F_{279}\! \left(x \right) = -F_{412}\! \left(x \right)+F_{280}\! \left(x \right)
F_{280}\! \left(x \right) = -F_{408}\! \left(x \right)+F_{281}\! \left(x \right)
F_{281}\! \left(x \right) = \frac{F_{282}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{282}\! \left(x \right) = F_{283}\! \left(x \right)
F_{283}\! \left(x \right) = -F_{405}\! \left(x \right)+F_{284}\! \left(x \right)
F_{284}\! \left(x \right) = -F_{287}\! \left(x \right)+F_{285}\! \left(x \right)
F_{285}\! \left(x \right) = \frac{F_{286}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{286}\! \left(x \right) = F_{6}\! \left(x \right)
F_{287}\! \left(x \right) = F_{288}\! \left(x \right)+F_{289}\! \left(x \right)
F_{288}\! \left(x \right) = F_{138}\! \left(x \right) F_{2}\! \left(x \right)
F_{289}\! \left(x \right) = F_{290}\! \left(x \right)
F_{290}\! \left(x \right) = F_{291}\! \left(x \right) F_{33}\! \left(x \right)
F_{291}\! \left(x \right) = F_{292}\! \left(x \right)+F_{319}\! \left(x \right)
F_{292}\! \left(x \right) = F_{293}\! \left(x \right)+F_{299}\! \left(x \right)
F_{293}\! \left(x \right) = F_{294}\! \left(x \right)+F_{295}\! \left(x \right)
F_{294}\! \left(x \right) = F_{141}\! \left(x \right) F_{2}\! \left(x \right)
F_{295}\! \left(x \right) = F_{296}\! \left(x \right) F_{71}\! \left(x \right)
F_{296}\! \left(x \right) = F_{277}\! \left(x \right)+F_{297}\! \left(x \right)
F_{297}\! \left(x \right) = F_{298}\! \left(x \right)
F_{298}\! \left(x \right) = F_{176}\! \left(x \right) F_{30}\! \left(x \right) F_{33}\! \left(x \right)
F_{299}\! \left(x \right) = F_{300}\! \left(x \right) F_{79}\! \left(x \right)
F_{300}\! \left(x \right) = F_{301}\! \left(x \right)+F_{96}\! \left(x \right)
F_{301}\! \left(x \right) = \frac{F_{302}\! \left(x \right)}{F_{316}\! \left(x \right)}
F_{302}\! \left(x \right) = F_{303}\! \left(x \right)
F_{303}\! \left(x \right) = -F_{307}\! \left(x \right)+F_{304}\! \left(x \right)
F_{304}\! \left(x \right) = \frac{F_{305}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{305}\! \left(x \right) = F_{306}\! \left(x \right)
F_{306}\! \left(x \right) = -F_{95}\! \left(x \right)+F_{151}\! \left(x \right)
F_{307}\! \left(x \right) = -F_{317}\! \left(x \right)+F_{308}\! \left(x \right)
F_{308}\! \left(x \right) = \frac{F_{309}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{309}\! \left(x \right) = F_{310}\! \left(x \right)
F_{310}\! \left(x \right) = -F_{97}\! \left(x \right)+F_{311}\! \left(x \right)
F_{311}\! \left(x \right) = F_{312}\! \left(x \right)
F_{312}\! \left(x \right) = F_{313}\! \left(x \right) F_{33}\! \left(x \right)
F_{313}\! \left(x \right) = F_{163}\! \left(x \right)+F_{314}\! \left(x \right)
F_{314}\! \left(x \right) = F_{315}\! \left(x \right)
F_{315}\! \left(x \right) = F_{176}\! \left(x \right) F_{316}\! \left(x \right) F_{33}\! \left(x \right)
F_{316}\! \left(x \right) = F_{213}\! \left(x \right)+F_{29}\! \left(x \right)
F_{317}\! \left(x \right) = F_{318}\! \left(x \right)
F_{318}\! \left(x \right) = F_{176}\! \left(x \right) F_{316}\! \left(x \right) F_{33}\! \left(x \right)
F_{319}\! \left(x \right) = F_{320}\! \left(x \right)+F_{325}\! \left(x \right)
F_{320}\! \left(x \right) = F_{321}\! \left(x \right)+F_{323}\! \left(x \right)
F_{321}\! \left(x \right) = F_{141}\! \left(x \right) F_{322}\! \left(x \right)
F_{322}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{323}\! \left(x \right) = F_{296}\! \left(x \right) F_{324}\! \left(x \right)
F_{324}\! \left(x \right) = -F_{322}\! \left(x \right)+F_{202}\! \left(x \right)
F_{325}\! \left(x \right) = F_{300}\! \left(x \right) F_{326}\! \left(x \right)
F_{326}\! \left(x \right) = F_{327}\! \left(x \right)
F_{327}\! \left(x \right) = F_{328}\! \left(x \right) F_{33}\! \left(x \right)
F_{328}\! \left(x \right) = F_{329}\! \left(x \right)+F_{330}\! \left(x \right)
F_{329}\! \left(x \right) = -F_{200}\! \left(x \right)+F_{171}\! \left(x \right)
F_{330}\! \left(x \right) = F_{331}\! \left(x \right)+F_{404}\! \left(x \right)
F_{331}\! \left(x \right) = F_{332}\! \left(x \right)+F_{394}\! \left(x \right)
F_{332}\! \left(x \right) = F_{333}\! \left(x \right)+F_{355}\! \left(x \right)
F_{333}\! \left(x \right) = F_{334}\! \left(x \right) F_{96}\! \left(x \right)
F_{334}\! \left(x \right) = F_{335}\! \left(x \right)
F_{335}\! \left(x \right) = F_{33}\! \left(x \right) F_{336}\! \left(x \right)
F_{336}\! \left(x \right) = F_{337}\! \left(x \right)+F_{353}\! \left(x \right)
F_{337}\! \left(x \right) = F_{338}\! \left(x \right)+F_{41}\! \left(x \right)
F_{338}\! \left(x \right) = F_{30}\! \left(x \right)+F_{339}\! \left(x \right)
F_{339}\! \left(x \right) = F_{340}\! \left(x \right)
F_{340}\! \left(x \right) = F_{33}\! \left(x \right) F_{341}\! \left(x \right) F_{349}\! \left(x \right)
F_{341}\! \left(x \right) = F_{1}\! \left(x \right)+F_{342}\! \left(x \right)
F_{342}\! \left(x \right) = F_{343}\! \left(x \right)
F_{343}\! \left(x \right) = F_{33}\! \left(x \right) F_{344}\! \left(x \right)
F_{344}\! \left(x \right) = F_{341}\! \left(x \right)+F_{345}\! \left(x \right)
F_{345}\! \left(x \right) = F_{346}\! \left(x \right)+F_{36}\! \left(x \right)
F_{346}\! \left(x \right) = F_{347}\! \left(x \right)
F_{347}\! \left(x \right) = F_{33}\! \left(x \right) F_{348}\! \left(x \right)
F_{348}\! \left(x \right) = F_{342}\! \left(x \right)+F_{346}\! \left(x \right)
F_{349}\! \left(x \right) = F_{350}\! \left(x \right)+F_{351}\! \left(x \right)
F_{350}\! \left(x \right) = F_{30}\! \left(x \right) F_{35}\! \left(x \right)
F_{351}\! \left(x \right) = F_{352}\! \left(x , 1\right)
F_{352}\! \left(x , y\right) = -\frac{y \left(F_{54}\! \left(x , 1\right)-F_{54}\! \left(x , y\right)\right)}{-1+y}
F_{353}\! \left(x \right) = F_{354}\! \left(x \right)
F_{354}\! \left(x \right) = F_{33}\! \left(x \right) F_{338}\! \left(x \right) F_{35}\! \left(x \right)
F_{355}\! \left(x \right) = F_{356}\! \left(x \right)
F_{356}\! \left(x \right) = F_{33}\! \left(x \right) F_{357}\! \left(x \right)
F_{357}\! \left(x \right) = F_{358}\! \left(x \right)+F_{392}\! \left(x \right)
F_{358}\! \left(x \right) = F_{359}\! \left(x , 1\right)
F_{359}\! \left(x , y\right) = F_{360}\! \left(x \right) F_{390}\! \left(x , y\right)
F_{360}\! \left(x \right) = F_{173}\! \left(x \right)+F_{361}\! \left(x \right)
F_{361}\! \left(x \right) = F_{362}\! \left(x , 1\right)
F_{362}\! \left(x , y\right) = F_{363}\! \left(x , y\right)
F_{363}\! \left(x , y\right) = F_{364}\! \left(x , y\right) F_{56}\! \left(x , y\right)
F_{364}\! \left(x , y\right) = F_{365}\! \left(x , y\right)+F_{370}\! \left(x , y\right)
F_{365}\! \left(x , y\right) = F_{366}\! \left(x , y\right) F_{367}\! \left(x , y\right)
F_{366}\! \left(x , y\right) = F_{173}\! \left(x \right)+F_{362}\! \left(x , y\right)
F_{367}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{368}\! \left(x , y\right)
F_{368}\! \left(x , y\right) = F_{369}\! \left(x , y\right)
F_{369}\! \left(x , y\right) = F_{367}\! \left(x , y\right) F_{56}\! \left(x , y\right)
F_{371}\! \left(x , y\right) = F_{370}\! \left(x , y\right)+F_{388}\! \left(x , y\right)
F_{372}\! \left(x , y\right) = F_{371}\! \left(x , y\right) F_{56}\! \left(x , y\right)
F_{372}\! \left(x , y\right) = F_{373}\! \left(x , y\right)
F_{374}\! \left(x , y\right) = -\frac{y \left(F_{373}\! \left(x , 1\right)-F_{373}\! \left(x , y\right)\right)}{-1+y}
F_{374}\! \left(x , y\right) = F_{375}\! \left(x , y\right)
F_{375}\! \left(x , y\right) = F_{376}\! \left(x , y\right) F_{56}\! \left(x , y\right)
F_{376}\! \left(x , y\right) = F_{377}\! \left(x , y\right)+F_{384}\! \left(x , y\right)
F_{377}\! \left(x , y\right) = F_{378}\! \left(x \right)+F_{380}\! \left(x , y\right)
F_{378}\! \left(x \right) = \frac{F_{379}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{379}\! \left(x \right) = F_{82}\! \left(x \right)
F_{380}\! \left(x , y\right) = -\frac{y \left(F_{381}\! \left(x , 1\right)-F_{381}\! \left(x , y\right)\right)}{-1+y}
F_{381}\! \left(x , y\right) = F_{373}\! \left(x , y\right)+F_{382}\! \left(x , y\right)
F_{382}\! \left(x , y\right) = F_{383}\! \left(x , y\right)
F_{383}\! \left(x , y\right) = F_{30}\! \left(x \right) F_{33}\! \left(x \right) F_{373}\! \left(x , y\right) F_{51}\! \left(x \right)
F_{384}\! \left(x , y\right) = y F_{385}\! \left(x , y\right)
F_{385}\! \left(x , y\right) = -\frac{-y F_{386}\! \left(x , y\right)+F_{386}\! \left(x , 1\right)}{-1+y}
F_{386}\! \left(x , y\right) = F_{387}\! \left(x , y\right)
F_{387}\! \left(x , y\right) = F_{30}\! \left(x \right) F_{33}\! \left(x \right) F_{371}\! \left(x , y\right)
F_{388}\! \left(x , y\right) = F_{367}\! \left(x , y\right) F_{389}\! \left(x , y\right)
F_{389}\! \left(x , y\right) = F_{373}\! \left(x , y\right)+F_{85}\! \left(x \right)
F_{390}\! \left(x , y\right) = F_{351}\! \left(x \right)+F_{391}\! \left(x , y\right)
F_{391}\! \left(x , y\right) = F_{30}\! \left(x \right) F_{367}\! \left(x , y\right)
F_{392}\! \left(x \right) = F_{30}\! \left(x \right) F_{393}\! \left(x \right)
F_{393}\! \left(x \right) = F_{370}\! \left(x , 1\right)
F_{394}\! \left(x \right) = F_{395}\! \left(x \right)
F_{395}\! \left(x \right) = F_{396}\! \left(x \right)
F_{396}\! \left(x \right) = F_{33}\! \left(x \right) F_{397}\! \left(x \right)
F_{397}\! \left(x \right) = F_{398}\! \left(x \right)+F_{401}\! \left(x \right)
F_{398}\! \left(x \right) = F_{399}\! \left(x \right) F_{96}\! \left(x \right)
F_{399}\! \left(x \right) = F_{400}\! \left(x \right)
F_{400}\! \left(x \right) = F_{211}\! \left(x \right) F_{33}\! \left(x \right)
F_{401}\! \left(x \right) = F_{173}\! \left(x \right) F_{402}\! \left(x \right)
F_{402}\! \left(x \right) = F_{403}\! \left(x \right)
F_{403}\! \left(x \right) = F_{225}\! \left(x \right) F_{33}\! \left(x \right)
F_{404}\! \left(x \right) = F_{230}\! \left(x \right)
F_{405}\! \left(x \right) = F_{406}\! \left(x \right)
F_{406}\! \left(x \right) = F_{33}\! \left(x \right) F_{407}\! \left(x \right) F_{96}\! \left(x \right)
F_{407}\! \left(x \right) = F_{23}\! \left(x \right)+F_{25}\! \left(x \right)
F_{408}\! \left(x \right) = F_{409}\! \left(x \right)+F_{411}\! \left(x \right)
F_{409}\! \left(x \right) = F_{146}\! \left(x \right)+F_{410}\! \left(x \right)
F_{410}\! \left(x \right) = F_{297}\! \left(x \right) F_{60}\! \left(x \right)
F_{411}\! \left(x \right) = F_{25}\! \left(x \right) F_{301}\! \left(x \right)
F_{412}\! \left(x \right) = F_{139}\! \left(x \right)+F_{413}\! \left(x \right)
F_{413}\! \left(x \right) = -F_{97}\! \left(x \right)+F_{143}\! \left(x \right)
F_{414}\! \left(x \right) = F_{415}\! \left(x \right)
F_{415}\! \left(x \right) = F_{30}\! \left(x \right) F_{301}\! \left(x \right)
F_{416}\! \left(x \right) = F_{417}\! \left(x \right)+F_{418}\! \left(x \right)
F_{417}\! \left(x \right) = F_{120}\! \left(x \right)+F_{125}\! \left(x \right)
F_{418}\! \left(x \right) = F_{120}\! \left(x \right) F_{31}\! \left(x \right)
F_{419}\! \left(x \right) = F_{12}\! \left(x \right)+F_{316}\! \left(x \right)
F_{420}\! \left(x \right) = F_{421}\! \left(x \right)
F_{421}\! \left(x \right) = F_{33}\! \left(x \right) F_{422}\! \left(x \right)
F_{422}\! \left(x \right) = F_{423}\! \left(x \right)+F_{428}\! \left(x \right)
F_{423}\! \left(x \right) = F_{424}\! \left(x \right)
F_{424}\! \left(x \right) = F_{33}\! \left(x \right) F_{425}\! \left(x \right) F_{427}\! \left(x \right)
F_{425}\! \left(x \right) = F_{217}\! \left(x \right)+F_{426}\! \left(x \right)
F_{426}\! \left(x \right) = F_{213}\! \left(x \right)+F_{27}\! \left(x \right)
F_{427}\! \left(x \right) = F_{2}\! \left(x \right)+F_{95}\! \left(x \right)
F_{428}\! \left(x \right) = F_{429}\! \left(x \right)
F_{429}\! \left(x \right) = F_{301}\! \left(x \right) F_{33}\! \left(x \right) F_{425}\! \left(x \right)
F_{430}\! \left(x \right) = F_{431}\! \left(x \right)+F_{432}\! \left(x \right)
F_{431}\! \left(x \right) = F_{23}\! \left(x \right) F_{96}\! \left(x \right)
F_{432}\! \left(x \right) = -F_{332}\! \left(x \right)+F_{433}\! \left(x \right)
F_{433}\! \left(x \right) = \frac{F_{434}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{434}\! \left(x \right) = F_{64}\! \left(x \right)
F_{435}\! \left(x \right) = -F_{240}\! \left(x \right)+F_{171}\! \left(x \right)
F_{436}\! \left(x \right) = F_{437}\! \left(x \right)
F_{437}\! \left(x \right) = F_{33}\! \left(x \right) F_{402}\! \left(x \right) F_{438}\! \left(x \right)
F_{438}\! \left(x \right) = F_{213}\! \left(x \right)+F_{41}\! \left(x \right)
F_{439}\! \left(x \right) = F_{214}\! \left(x \right) F_{30}\! \left(x \right)
F_{440}\! \left(x \right) = F_{441}\! \left(x \right)
F_{441}\! \left(x \right) = F_{33}\! \left(x \right) F_{442}\! \left(x \right)
F_{442}\! \left(x \right) = F_{443}\! \left(x \right)+F_{445}\! \left(x \right)
F_{443}\! \left(x \right) = F_{225}\! \left(x \right) F_{444}\! \left(x \right)
F_{444}\! \left(x \right) = F_{120}\! \left(x \right)+F_{324}\! \left(x \right)
F_{445}\! \left(x \right) = F_{205}\! \left(x \right) F_{446}\! \left(x \right)
F_{446}\! \left(x \right) = F_{316}\! \left(x \right)+F_{447}\! \left(x \right)
F_{447}\! \left(x \right) = F_{448}\! \left(x \right)
F_{448}\! \left(x \right) = F_{30}\! \left(x \right) F_{33}\! \left(x \right) F_{446}\! \left(x \right)
F_{449}\! \left(x \right) = -F_{329}\! \left(x \right)+F_{450}\! \left(x \right)
F_{450}\! \left(x \right) = -F_{457}\! \left(x \right)+F_{451}\! \left(x \right)
F_{451}\! \left(x \right) = \frac{F_{452}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{452}\! \left(x \right) = F_{453}\! \left(x \right)
F_{453}\! \left(x \right) = -F_{455}\! \left(x \right)+F_{454}\! \left(x \right)
F_{454}\! \left(x \right) = F_{242}\! \left(x \right)+F_{246}\! \left(x \right)
F_{455}\! \left(x \right) = F_{247}\! \left(x \right)+F_{456}\! \left(x \right)
F_{456}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \left(x \right)
F_{457}\! \left(x \right) = F_{458}\! \left(x \right)
F_{458}\! \left(x \right) = F_{102}\! \left(x \right) F_{40}\! \left(x \right)
F_{459}\! \left(x \right) = F_{460}\! \left(x \right)
F_{460}\! \left(x \right) = F_{33}\! \left(x \right) F_{461}\! \left(x \right) F_{462}\! \left(x \right)
F_{461}\! \left(x \right) = F_{218}\! \left(x \right)+F_{59}\! \left(x \right)
F_{462}\! \left(x \right) = \frac{F_{463}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{463}\! \left(x \right) = F_{301}\! \left(x \right)
F_{464}\! \left(x \right) = F_{118}\! \left(x \right) F_{270}\! \left(x \right)
F_{465}\! \left(x \right) = F_{30}\! \left(x \right) F_{79}\! \left(x \right)
F_{466}\! \left(x \right) = F_{467}\! \left(x \right)+F_{468}\! \left(x \right)
F_{467}\! \left(x \right) = F_{236}\! \left(x \right) F_{30}\! \left(x \right)
F_{468}\! \left(x \right) = F_{469}\! \left(x \right)+F_{470}\! \left(x \right)
F_{469}\! \left(x \right) = F_{322}\! \left(x \right) F_{41}\! \left(x \right)
F_{470}\! \left(x \right) = F_{324}\! \left(x \right) F_{351}\! \left(x \right)
F_{471}\! \left(x \right) = F_{272}\! \left(x \right)+F_{31}\! \left(x \right)
F_{472}\! \left(x \right) = F_{473}\! \left(x \right)
F_{473}\! \left(x \right) = F_{33}\! \left(x \right) F_{474}\! \left(x \right)
F_{474}\! \left(x \right) = F_{320}\! \left(x \right)+F_{475}\! \left(x \right)
F_{475}\! \left(x \right) = F_{205}\! \left(x \right) F_{300}\! \left(x \right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_33(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_2(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_33(x)*F_8(x))
Eq(F_8(x), F_10(x) + F_9(x))
Eq(F_9(x), F_2(x)*F_4(x))
Eq(F_10(x), F_11(x) + F_472(x))
Eq(F_11(x), F_12(x) + F_247(x))
Eq(F_12(x), F_13(x) + F_2(x))
Eq(F_13(x), F_14(x))
Eq(F_14(x), F_15(x)*F_33(x))
Eq(F_15(x), F_16(x) + F_9(x))
Eq(F_16(x), F_17(x))
Eq(F_17(x), F_18(x) + F_5(x))
Eq(F_18(x), F_19(x))
Eq(F_19(x), F_20(x)*F_33(x)*F_471(x))
Eq(F_20(x), F_21(x) + F_76(x))
Eq(F_21(x), F_22(x) + F_24(x))
Eq(F_22(x), F_0(x)*F_23(x))
Eq(F_23(x), x**2 + 8*x + (x**2 + 4*x - 1)*F_23(x)**2 + (2*x**2 - 13*x + 4)*F_23(x) - 2)
Eq(F_24(x), F_25(x) + F_64(x))
Eq(F_25(x), F_26(x))
Eq(F_26(x), F_27(x)*F_33(x))
Eq(F_27(x), F_28(x) + F_61(x))
Eq(F_28(x), F_29(x) + F_59(x))
Eq(F_29(x), F_30(x) + F_41(x))
Eq(F_30(x), F_1(x) + F_31(x))
Eq(F_31(x), F_32(x))
Eq(F_32(x), F_33(x)*F_34(x))
Eq(F_33(x), x)
Eq(F_34(x), F_35(x) + F_38(x))
Eq(F_35(x), F_1(x) + F_36(x))
Eq(F_36(x), F_37(x))
Eq(F_37(x), F_33(x)*F_35(x))
Eq(F_38(x), F_39(x))
Eq(F_39(x), F_30(x)*F_33(x)*F_35(x)*F_40(x))
Eq(F_40(x), F_34(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_33(x)*F_43(x))
Eq(F_43(x), F_44(x, 1))
Eq(F_44(x, k_0), F_45(x) + F_57(x, k_0))
Eq(F_45(x), F_46(x) + F_49(x))
Eq(F_46(x), F_30(x) + F_47(x))
Eq(F_47(x), F_48(x))
Eq(F_48(x), F_33(x)*F_43(x))
Eq(F_49(x), F_50(x))
Eq(F_50(x), F_30(x)*F_33(x)*F_46(x)*F_51(x))
Eq(F_51(x), F_52(x, 1))
Eq(F_52(x, k_0), (-k_0*F_53(x, k_0) + F_53(x, 1))/(1 - k_0))
Eq(F_53(x, k_0), F_1(x) + F_54(x, k_0))
Eq(F_54(x, k_0), F_55(x, k_0))
Eq(F_55(x, k_0), F_53(x, k_0)**2*F_56(x, k_0))
Eq(F_56(x, k_0), k_0*x)
Eq(F_57(x, k_0), F_58(x, k_0))
Eq(F_58(x, k_0), F_30(x)*F_44(x, k_0)*F_56(x, k_0))
Eq(F_59(x), F_51(x)*F_60(x))
Eq(F_60(x), x**2 + 8*x + (F_60(x) + 1)**2*(x**2 + 4*x - 1) + (F_60(x) + 1)*(2*x**2 - 13*x + 3) + F_60(x) - 2)
Eq(F_61(x), F_30(x)*F_62(x))
Eq(F_62(x), F_63(x))
Eq(F_63(x), F_27(x)*F_33(x))
Eq(F_64(x), F_65(x))
Eq(F_65(x), F_33(x)*F_66(x))
Eq(F_66(x), F_466(x) + F_67(x))
Eq(F_67(x), F_465(x) + F_68(x))
Eq(F_68(x), F_69(x) + F_70(x))
Eq(F_69(x), F_2(x)*F_29(x))
Eq(F_70(x), F_51(x)*F_71(x))
Eq(F_71(x), F_72(x))
Eq(F_72(x), F_33(x)*F_73(x))
Eq(F_73(x), F_74(x) + F_76(x))
Eq(F_74(x), F_64(x) + F_75(x))
Eq(F_75(x), F_2(x)*F_23(x))
Eq(F_76(x), F_235(x) + F_77(x))
Eq(F_77(x), F_78(x) + F_79(x))
Eq(F_78(x), F_2(x) + F_71(x))
Eq(F_79(x), F_80(x))
Eq(F_80(x), F_33(x)*F_81(x))
Eq(F_81(x), F_82(x))
Eq(F_82(x), F_83(x) - F_85(x))
Eq(F_83(x), F_84(x)/F_33(x))
Eq(F_84(x), F_78(x))
Eq(F_85(x), F_86(x) + F_87(x))
Eq(F_86(x), F_23(x) + F_78(x))
Eq(F_87(x), F_88(x))
Eq(F_88(x), F_33(x)*F_89(x))
Eq(F_89(x), F_90(x)/F_33(x))
Eq(F_90(x), F_91(x))
Eq(F_91(x), -F_104(x) + F_92(x))
Eq(F_92(x), F_93(x)/F_33(x))
Eq(F_93(x), F_94(x))
Eq(F_94(x), -F_2(x) + F_95(x))
Eq(F_95(x), -F_0(x) + F_96(x))
Eq(F_96(x), F_0(x) + F_97(x))
Eq(F_97(x), F_98(x))
Eq(F_98(x), F_33(x)*F_99(x))
Eq(F_99(x), F_100(x) + F_454(x))
Eq(F_100(x), F_101(x) + F_96(x))
Eq(F_101(x), F_102(x) + F_12(x))
Eq(F_102(x), F_103(x))
Eq(F_103(x), F_104(x)*F_33(x))
Eq(F_104(x), F_105(x))
Eq(F_105(x), F_106(x)*F_33(x))
Eq(F_106(x), F_107(x) + F_129(x))
Eq(F_107(x), F_108(x) + F_117(x))
Eq(F_108(x), F_109(x)*F_23(x))
Eq(F_109(x), F_110(x) + F_34(x))
Eq(F_110(x), F_111(x) + F_112(x))
Eq(F_111(x), F_2(x)*F_30(x))
Eq(F_112(x), F_113(x))
Eq(F_113(x), F_114(x)*F_30(x)*F_33(x))
Eq(F_114(x), F_110(x) + F_115(x))
Eq(F_115(x), F_116(x))
Eq(F_116(x), F_106(x)*F_33(x))
Eq(F_117(x), F_118(x)*F_30(x))
Eq(F_118(x), F_119(x) + F_121(x))
Eq(F_119(x), F_120(x)*F_30(x))
Eq(F_120(x), F_60(x) + F_71(x))
Eq(F_121(x), F_122(x))
Eq(F_122(x), F_123(x)*F_30(x)*F_33(x))
Eq(F_123(x), F_124(x)/F_33(x))
Eq(F_124(x), F_125(x))
Eq(F_125(x), F_104(x) - F_126(x))
Eq(F_126(x), F_127(x) + F_31(x))
Eq(F_127(x), F_128(x))
Eq(F_128(x), F_114(x)*F_33(x))
Eq(F_129(x), F_130(x) + F_131(x))
Eq(F_130(x), F_34(x)*F_78(x))
Eq(F_131(x), F_132(x))
Eq(F_132(x), F_133(x)*F_33(x))
Eq(F_133(x), F_134(x) + F_464(x))
Eq(F_134(x), F_110(x)*F_135(x))
Eq(F_135(x), F_136(x)/F_33(x))
Eq(F_136(x), F_137(x))
Eq(F_137(x), F_138(x) - F_23(x))
Eq(F_138(x), F_0(x) + F_139(x))
Eq(F_139(x), F_140(x))
Eq(F_140(x), F_141(x)*F_33(x))
Eq(F_141(x), F_142(x) + F_146(x))
Eq(F_142(x), F_138(x) + F_143(x))
Eq(F_143(x), F_144(x) - F_146(x))
Eq(F_144(x), F_145(x)/F_33(x))
Eq(F_145(x), F_94(x))
Eq(F_146(x), F_147(x))
Eq(F_147(x), F_148(x)*F_33(x))
Eq(F_148(x), F_149(x) + F_177(x))
Eq(F_149(x), F_150(x)/F_33(x))
Eq(F_150(x), F_151(x))
Eq(F_151(x), F_152(x) - F_154(x))
Eq(F_152(x), F_153(x)/F_33(x))
Eq(F_153(x), F_94(x))
Eq(F_154(x), F_155(x) - F_159(x))
Eq(F_155(x), F_156(x) + F_157(x))
Eq(F_156(x), F_0(x)*F_96(x))
Eq(F_157(x), F_152(x) - F_158(x))
Eq(F_158(x), F_2(x)*F_96(x))
Eq(F_159(x), F_160(x) + F_96(x))
Eq(F_160(x), F_161(x))
Eq(F_161(x), F_162(x)*F_33(x))
Eq(F_162(x), F_163(x) + F_184(x))
Eq(F_163(x), F_164(x) + F_165(x))
Eq(F_164(x), F_0(x)*F_159(x))
Eq(F_165(x), F_166(x))
Eq(F_166(x), F_167(x)*F_33(x))
Eq(F_167(x), F_168(x) + F_169(x))
Eq(F_168(x), F_159(x)*F_99(x))
Eq(F_169(x), F_170(x))
Eq(F_170(x), F_171(x)*F_176(x)*F_33(x))
Eq(F_171(x), F_172(x)/F_33(x))
Eq(F_172(x), F_173(x))
Eq(F_173(x), F_174(x) - F_82(x))
Eq(F_174(x), F_175(x)/F_33(x))
Eq(F_175(x), F_71(x))
Eq(F_176(x), F_177(x)/F_60(x))
Eq(F_177(x), F_178(x) - F_181(x))
Eq(F_178(x), F_179(x)/F_33(x))
Eq(F_179(x), F_180(x))
Eq(F_180(x), -F_151(x) + F_157(x))
Eq(F_181(x), F_182(x) + F_183(x))
Eq(F_182(x), F_149(x)*F_2(x))
Eq(F_183(x), F_176(x)*F_71(x))
Eq(F_184(x), F_185(x) - F_459(x))
Eq(F_185(x), F_186(x) - F_191(x))
Eq(F_186(x), F_187(x)/F_33(x))
Eq(F_187(x), F_188(x))
Eq(F_188(x), F_155(x) - F_189(x))
Eq(F_189(x), F_11(x) + F_190(x))
Eq(F_190(x), F_0(x)**2)
Eq(F_191(x), F_192(x) + F_193(x))
Eq(F_192(x), F_189(x)*F_96(x))
Eq(F_193(x), F_194(x))
Eq(F_194(x), F_195(x)*F_33(x))
Eq(F_195(x), F_196(x) + F_197(x))
Eq(F_196(x), F_149(x)*F_189(x))
Eq(F_197(x), F_176(x)*F_198(x))
Eq(F_198(x), -F_189(x) + F_199(x))
Eq(F_199(x), F_200(x) - F_449(x))
Eq(F_200(x), F_201(x)/F_33(x))
Eq(F_201(x), F_202(x))
Eq(F_202(x), F_203(x) - F_205(x))
Eq(F_203(x), F_204(x)/F_33(x))
Eq(F_204(x), F_6(x))
Eq(F_205(x), F_206(x) + F_24(x))
Eq(F_206(x), F_207(x))
Eq(F_207(x), F_208(x)*F_33(x))
Eq(F_208(x), F_209(x) + F_440(x))
Eq(F_209(x), F_210(x))
Eq(F_210(x), F_211(x)*F_33(x)*F_4(x))
Eq(F_211(x), F_212(x)/F_33(x))
Eq(F_212(x), F_213(x))
Eq(F_213(x), F_214(x) + F_78(x))
Eq(F_214(x), F_215(x))
Eq(F_215(x), F_216(x)*F_33(x))
Eq(F_216(x), F_213(x) + F_217(x))
Eq(F_217(x), F_218(x) + F_439(x))
Eq(F_218(x), F_219(x) + F_68(x))
Eq(F_219(x), F_220(x))
Eq(F_220(x), F_221(x)*F_33(x))
Eq(F_221(x), F_222(x) + F_223(x))
Eq(F_222(x), F_213(x)*F_4(x))
Eq(F_223(x), F_224(x))
Eq(F_224(x), F_20(x)*F_225(x)*F_33(x))
Eq(F_225(x), F_226(x)/(F_30(x)*F_33(x)))
Eq(F_226(x), F_227(x))
Eq(F_227(x), F_228(x)/F_33(x))
Eq(F_228(x), F_229(x))
Eq(F_229(x), F_230(x) - F_436(x))
Eq(F_230(x), F_231(x) - F_395(x))
Eq(F_231(x), F_232(x))
Eq(F_232(x), F_233(x) - F_238(x))
Eq(F_233(x), F_234(x)/F_33(x))
Eq(F_234(x), F_235(x))
Eq(F_235(x), F_236(x) - F_74(x))
Eq(F_236(x), F_203(x) - F_237(x))
Eq(F_237(x), F_25(x) + F_79(x))
Eq(F_238(x), F_239(x) + F_435(x))
Eq(F_239(x), F_240(x) - F_430(x))
Eq(F_240(x), F_241(x)/F_33(x))
Eq(F_241(x), F_242(x))
Eq(F_242(x), F_243(x) - F_245(x))
Eq(F_243(x), F_244(x)/F_33(x))
Eq(F_244(x), F_6(x))
Eq(F_245(x), F_101(x) + F_246(x))
Eq(F_246(x), F_247(x) + F_420(x))
Eq(F_247(x), F_248(x))
Eq(F_248(x), F_249(x)*F_33(x))
Eq(F_249(x), F_250(x) + F_251(x))
Eq(F_250(x), F_12(x)*F_96(x))
Eq(F_251(x), F_157(x) + F_252(x))
Eq(F_252(x), F_253(x))
Eq(F_253(x), F_254(x)*F_33(x))
Eq(F_254(x), F_255(x) + F_256(x))
Eq(F_255(x), F_12(x)*F_149(x))
Eq(F_256(x), F_176(x)*F_257(x))
Eq(F_257(x), F_258(x) - F_419(x))
Eq(F_258(x), F_259(x) + F_416(x))
Eq(F_259(x), F_260(x) + F_262(x))
Eq(F_260(x), F_261(x) + F_78(x))
Eq(F_261(x), F_30(x) + F_60(x))
Eq(F_262(x), F_127(x) + F_263(x))
Eq(F_263(x), F_264(x) + F_75(x))
Eq(F_264(x), F_265(x))
Eq(F_265(x), F_266(x)*F_33(x))
Eq(F_266(x), F_267(x) + F_268(x))
Eq(F_267(x), F_4(x)*F_78(x))
Eq(F_268(x), F_269(x))
Eq(F_269(x), F_20(x)*F_270(x)*F_33(x))
Eq(F_270(x), F_271(x)/F_33(x))
Eq(F_271(x), F_272(x))
Eq(F_272(x), F_273(x) - F_30(x))
Eq(F_273(x), F_0(x) + F_274(x))
Eq(F_274(x), F_275(x))
Eq(F_275(x), F_276(x)*F_33(x))
Eq(F_276(x), F_277(x) + F_414(x))
Eq(F_277(x), F_278(x) + F_96(x))
Eq(F_278(x), F_279(x)/F_60(x))
Eq(F_279(x), F_280(x) - F_412(x))
Eq(F_280(x), F_281(x) - F_408(x))
Eq(F_281(x), F_282(x)/F_33(x))
Eq(F_282(x), F_283(x))
Eq(F_283(x), F_284(x) - F_405(x))
Eq(F_284(x), F_285(x) - F_287(x))
Eq(F_285(x), F_286(x)/F_33(x))
Eq(F_286(x), F_6(x))
Eq(F_287(x), F_288(x) + F_289(x))
Eq(F_288(x), F_138(x)*F_2(x))
Eq(F_289(x), F_290(x))
Eq(F_290(x), F_291(x)*F_33(x))
Eq(F_291(x), F_292(x) + F_319(x))
Eq(F_292(x), F_293(x) + F_299(x))
Eq(F_293(x), F_294(x) + F_295(x))
Eq(F_294(x), F_141(x)*F_2(x))
Eq(F_295(x), F_296(x)*F_71(x))
Eq(F_296(x), F_277(x) + F_297(x))
Eq(F_297(x), F_298(x))
Eq(F_298(x), F_176(x)*F_30(x)*F_33(x))
Eq(F_299(x), F_300(x)*F_79(x))
Eq(F_300(x), F_301(x) + F_96(x))
Eq(F_301(x), F_302(x)/F_316(x))
Eq(F_302(x), F_303(x))
Eq(F_303(x), F_304(x) - F_307(x))
Eq(F_304(x), F_305(x)/F_33(x))
Eq(F_305(x), F_306(x))
Eq(F_306(x), F_151(x) - F_95(x))
Eq(F_307(x), F_308(x) - F_317(x))
Eq(F_308(x), F_309(x)/F_33(x))
Eq(F_309(x), F_310(x))
Eq(F_310(x), F_311(x) - F_97(x))
Eq(F_311(x), F_312(x))
Eq(F_312(x), F_313(x)*F_33(x))
Eq(F_313(x), F_163(x) + F_314(x))
Eq(F_314(x), F_315(x))
Eq(F_315(x), F_176(x)*F_316(x)*F_33(x))
Eq(F_316(x), F_213(x) + F_29(x))
Eq(F_317(x), F_318(x))
Eq(F_318(x), F_176(x)*F_316(x)*F_33(x))
Eq(F_319(x), F_320(x) + F_325(x))
Eq(F_320(x), F_321(x) + F_323(x))
Eq(F_321(x), F_141(x)*F_322(x))
Eq(F_322(x), F_2(x) + F_6(x))
Eq(F_323(x), F_296(x)*F_324(x))
Eq(F_324(x), F_202(x) - F_322(x))
Eq(F_325(x), F_300(x)*F_326(x))
Eq(F_326(x), F_327(x))
Eq(F_327(x), F_328(x)*F_33(x))
Eq(F_328(x), F_329(x) + F_330(x))
Eq(F_329(x), F_171(x) - F_200(x))
Eq(F_330(x), F_331(x) + F_404(x))
Eq(F_331(x), F_332(x) + F_394(x))
Eq(F_332(x), F_333(x) + F_355(x))
Eq(F_333(x), F_334(x)*F_96(x))
Eq(F_334(x), F_335(x))
Eq(F_335(x), F_33(x)*F_336(x))
Eq(F_336(x), F_337(x) + F_353(x))
Eq(F_337(x), F_338(x) + F_41(x))
Eq(F_338(x), F_30(x) + F_339(x))
Eq(F_339(x), F_340(x))
Eq(F_340(x), F_33(x)*F_341(x)*F_349(x))
Eq(F_341(x), F_1(x) + F_342(x))
Eq(F_342(x), F_343(x))
Eq(F_343(x), F_33(x)*F_344(x))
Eq(F_344(x), F_341(x) + F_345(x))
Eq(F_345(x), F_346(x) + F_36(x))
Eq(F_346(x), F_347(x))
Eq(F_347(x), F_33(x)*F_348(x))
Eq(F_348(x), F_342(x) + F_346(x))
Eq(F_349(x), F_350(x) + F_351(x))
Eq(F_350(x), F_30(x)*F_35(x))
Eq(F_351(x), F_352(x, 1))
Eq(F_352(x, k_0), -F_54(x, 1) + (-k_0*F_54(x, k_0) + F_54(x, 1))/(1 - k_0))
Eq(F_353(x), F_354(x))
Eq(F_354(x), F_33(x)*F_338(x)*F_35(x))
Eq(F_355(x), F_356(x))
Eq(F_356(x), F_33(x)*F_357(x))
Eq(F_357(x), F_358(x) + F_392(x))
Eq(F_358(x), F_359(x, 1))
Eq(F_359(x, k_0), F_360(x)*F_390(x, k_0))
Eq(F_360(x), F_173(x) + F_361(x))
Eq(F_361(x), F_362(x, 1))
Eq(F_362(x, k_0), F_363(x, k_0))
Eq(F_363(x, k_0), F_364(x, k_0)*F_56(x, k_0))
Eq(F_364(x, k_0), F_365(x, k_0) + F_370(x, k_0))
Eq(F_365(x, k_0), F_366(x, k_0)*F_367(x, k_0))
Eq(F_366(x, k_0), F_173(x) + F_362(x, k_0))
Eq(F_367(x, k_0), F_1(x) + F_368(x, k_0))
Eq(F_368(x, k_0), F_369(x, k_0))
Eq(F_369(x, k_0), F_367(x, k_0)*F_56(x, k_0))
Eq(F_371(x, k_0), F_370(x, k_0) + F_388(x, k_0))
Eq(F_372(x, k_0), F_371(x, k_0)*F_56(x, k_0))
Eq(F_372(x, k_0), F_373(x, k_0))
Eq(F_374(x, k_0), -F_373(x, 1) + (k_0*F_373(x, k_0) - F_373(x, 1))/(k_0 - 1))
Eq(F_374(x, k_0), F_375(x, k_0))
Eq(F_375(x, k_0), F_376(x, k_0)*F_56(x, k_0))
Eq(F_376(x, k_0), F_377(x, k_0) + F_384(x, k_0))
Eq(F_377(x, k_0), F_378(x) + F_380(x, k_0))
Eq(F_378(x), F_379(x)/F_33(x))
Eq(F_379(x), F_82(x))
Eq(F_380(x, k_0), -F_381(x, 1) + (k_0*F_381(x, k_0) - F_381(x, 1))/(k_0 - 1))
Eq(F_381(x, k_0), F_373(x, k_0) + F_382(x, k_0))
Eq(F_382(x, k_0), F_383(x, k_0))
Eq(F_383(x, k_0), F_30(x)*F_33(x)*F_373(x, k_0)*F_51(x))
Eq(F_384(x, k_0), k_0*F_385(x, k_0))
Eq(F_385(x, k_0), (k_0*F_386(x, k_0) - F_386(x, 1))/(k_0 - 1))
Eq(F_386(x, k_0), F_387(x, k_0))
Eq(F_387(x, k_0), F_30(x)*F_33(x)*F_371(x, k_0))
Eq(F_388(x, k_0), F_367(x, k_0)*F_389(x, k_0))
Eq(F_389(x, k_0), F_373(x, k_0) + F_85(x))
Eq(F_390(x, k_0), F_351(x) + F_391(x, k_0))
Eq(F_391(x, k_0), F_30(x)*F_367(x, k_0))
Eq(F_392(x), F_30(x)*F_393(x))
Eq(F_393(x), F_370(x, 1))
Eq(F_394(x), F_395(x))
Eq(F_395(x), F_396(x))
Eq(F_396(x), F_33(x)*F_397(x))
Eq(F_397(x), F_398(x) + F_401(x))
Eq(F_398(x), F_399(x)*F_96(x))
Eq(F_399(x), F_400(x))
Eq(F_400(x), F_211(x)*F_33(x))
Eq(F_401(x), F_173(x)*F_402(x))
Eq(F_402(x), F_403(x))
Eq(F_403(x), F_225(x)*F_33(x))
Eq(F_404(x), F_230(x))
Eq(F_405(x), F_406(x))
Eq(F_406(x), F_33(x)*F_407(x)*F_96(x))
Eq(F_407(x), F_23(x) + F_25(x))
Eq(F_408(x), F_409(x) + F_411(x))
Eq(F_409(x), F_146(x) + F_410(x))
Eq(F_410(x), F_297(x)*F_60(x))
Eq(F_411(x), F_25(x)*F_301(x))
Eq(F_412(x), F_139(x) + F_413(x))
Eq(F_413(x), F_143(x) - F_97(x))
Eq(F_414(x), F_415(x))
Eq(F_415(x), F_30(x)*F_301(x))
Eq(F_416(x), F_417(x) + F_418(x))
Eq(F_417(x), F_120(x) + F_125(x))
Eq(F_418(x), F_120(x)*F_31(x))
Eq(F_419(x), F_12(x) + F_316(x))
Eq(F_420(x), F_421(x))
Eq(F_421(x), F_33(x)*F_422(x))
Eq(F_422(x), F_423(x) + F_428(x))
Eq(F_423(x), F_424(x))
Eq(F_424(x), F_33(x)*F_425(x)*F_427(x))
Eq(F_425(x), F_217(x) + F_426(x))
Eq(F_426(x), F_213(x) + F_27(x))
Eq(F_427(x), F_2(x) + F_95(x))
Eq(F_428(x), F_429(x))
Eq(F_429(x), F_301(x)*F_33(x)*F_425(x))
Eq(F_430(x), F_431(x) + F_432(x))
Eq(F_431(x), F_23(x)*F_96(x))
Eq(F_432(x), -F_332(x) + F_433(x))
Eq(F_433(x), F_434(x)/F_33(x))
Eq(F_434(x), F_64(x))
Eq(F_435(x), F_171(x) - F_240(x))
Eq(F_436(x), F_437(x))
Eq(F_437(x), F_33(x)*F_402(x)*F_438(x))
Eq(F_438(x), F_213(x) + F_41(x))
Eq(F_439(x), F_214(x)*F_30(x))
Eq(F_440(x), F_441(x))
Eq(F_441(x), F_33(x)*F_442(x))
Eq(F_442(x), F_443(x) + F_445(x))
Eq(F_443(x), F_225(x)*F_444(x))
Eq(F_444(x), F_120(x) + F_324(x))
Eq(F_445(x), F_205(x)*F_446(x))
Eq(F_446(x), F_316(x) + F_447(x))
Eq(F_447(x), F_448(x))
Eq(F_448(x), F_30(x)*F_33(x)*F_446(x))
Eq(F_449(x), -F_329(x) + F_450(x))
Eq(F_450(x), F_451(x) - F_457(x))
Eq(F_451(x), F_452(x)/F_33(x))
Eq(F_452(x), F_453(x))
Eq(F_453(x), F_454(x) - F_455(x))
Eq(F_454(x), F_242(x) + F_246(x))
Eq(F_455(x), F_247(x) + F_456(x))
Eq(F_456(x), F_0(x)*F_2(x))
Eq(F_457(x), F_458(x))
Eq(F_458(x), F_102(x)*F_40(x))
Eq(F_459(x), F_460(x))
Eq(F_460(x), F_33(x)*F_461(x)*F_462(x))
Eq(F_461(x), F_218(x) + F_59(x))
Eq(F_462(x), F_463(x)/F_33(x))
Eq(F_463(x), F_301(x))
Eq(F_464(x), F_118(x)*F_270(x))
Eq(F_465(x), F_30(x)*F_79(x))
Eq(F_466(x), F_467(x) + F_468(x))
Eq(F_467(x), F_236(x)*F_30(x))
Eq(F_468(x), F_469(x) + F_470(x))
Eq(F_469(x), F_322(x)*F_41(x))
Eq(F_470(x), F_324(x)*F_351(x))
Eq(F_471(x), F_272(x) + F_31(x))
Eq(F_472(x), F_473(x))
Eq(F_473(x), F_33(x)*F_474(x))
Eq(F_474(x), F_320(x) + F_475(x))
Eq(F_475(x), F_205(x)*F_300(x))
Pack JSON:
{"name": "point_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries", "initial_strats": [{"class_module": "tilings.strategies.rearrange_assumption", "strategy_class": "RearrangeAssumptionFactory"}, {"class_module": "tilings.strategies.assumption_insertion", "strategy_class": "AddAssumptionFactory"}, {"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}, {"class_module": "tilings.strategies.fusion.component", "strategy_class": "ComponentFusionFactory", "tracked": true, "isolation_level": null}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.detect_components", "strategy_class": "DetectComponentsStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": true, "workable": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 4, 1, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 4, 1, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "ComponentVerificationStrategy", "ignore_parent": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 4, 1, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2]]}], "iterative": false}
Specification JSON:
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[{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}]}]}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 2]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 1]]}]}]}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 0, "own_col": true, "own_row": true, "include_empty": false}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 2]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 1]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0], "pos": [[2, 2]]}, {"patt": [0, 1], "pos": [[2, 1], [2, 1]]}, {"patt": [1, 0], "pos": [[2, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[2, 1]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[2, 1]]}]}]}], "strategy": {"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 4, 1, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2]], "symmetry": true}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 4, 1, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2]], "symmetry": true}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "tilings.strategies.fusion.fusion", "rule_class": "FusionRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 0], [1, 0]]}], "requirements": [], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}], "strategy": {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionStrategy", "row_idx": null, "col_idx": 0, "tracked": true}}, {"class_module": "tilings.strategies.fusion.fusion", "rule_class": "FusionRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}], "strategy": {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionStrategy", "row_idx": null, "col_idx": 0, "tracked": true}}]}

Specification 2
Strategy pack name: point_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries
Tree: http://www.permpal.com/tree/25931/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[33,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[2,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[33,x]*F[8,x]
F[8,x] = F[10,x]+F[9,x]
F[9,x] = F[2,x]*F[4,x]
F[10,x] = F[11,x]+F[472,x]
F[11,x] = F[12,x]+F[247,x]
F[12,x] = F[13,x]+F[2,x]
F[13,x] = F[14,x]
F[14,x] = F[15,x]*F[33,x]
F[15,x] = F[16,x]+F[9,x]
F[16,x] = F[17,x]
F[17,x] = F[18,x]+F[5,x]
F[18,x] = F[19,x]
F[19,x] = F[20,x]*F[33,x]*F[471,x]
F[20,x] = F[21,x]+F[76,x]
F[21,x] = F[22,x]+F[24,x]
F[22,x] = F[0,x]*F[23,x]
F[23,x] = -2+x^2+8*x+F[23,x]^2*(x^2+4*x-1)+(2*x^2-13*x+4)*F[23,x]
F[24,x] = F[25,x]+F[64,x]
F[25,x] = F[26,x]
F[26,x] = F[27,x]*F[33,x]
F[27,x] = F[28,x]+F[61,x]
F[28,x] = F[29,x]+F[59,x]
F[29,x] = F[30,x]+F[41,x]
F[30,x] = F[1,x]+F[31,x]
F[31,x] = F[32,x]
F[32,x] = F[33,x]*F[34,x]
F[33,x] = x
F[34,x] = F[35,x]+F[38,x]
F[35,x] = F[1,x]+F[36,x]
F[36,x] = F[37,x]
F[37,x] = F[33,x]*F[35,x]
F[38,x] = F[39,x]
F[39,x] = F[30,x]*F[33,x]*F[35,x]*F[40,x]
F[40,x] = F[34,x]
F[41,x] = F[42,x]
F[42,x] = F[33,x]*F[43,x]
F[43,x] = F[44,x,1]
F[44,x,k[0]] = F[45,x]+F[57,x,k[0]]
F[45,x] = F[46,x]+F[49,x]
F[46,x] = F[30,x]+F[47,x]
F[47,x] = F[48,x]
F[48,x] = F[33,x]*F[43,x]
F[49,x] = F[50,x]
F[50,x] = F[30,x]*F[33,x]*F[46,x]*F[51,x]
F[51,x] = F[52,x,1]
F[52,x,k[0]] = (F[53,x,k[0]]*k[0]-F[53,x,1])/(-1+k[0])
F[53,x,k[0]] = F[1,x]+F[54,x,k[0]]
F[54,x,k[0]] = F[55,x,k[0]]
F[55,x,k[0]] = F[53,x,k[0]]^2*F[56,x,k[0]]
F[56,x,k[0]] = k[0]*x
F[57,x,k[0]] = F[58,x,k[0]]
F[58,x,k[0]] = F[30,x]*F[44,x,k[0]]*F[56,x,k[0]]
F[59,x] = F[51,x]*F[60,x]
F[60,x] = (x^2+4*x-1)*F[60,x]^2+(4*x^2-5*x+2)*F[60,x]+4*x^2-x
F[61,x] = F[30,x]*F[62,x]
F[62,x] = F[63,x]
F[63,x] = F[27,x]*F[33,x]
F[64,x] = F[65,x]
F[65,x] = F[33,x]*F[66,x]
F[66,x] = F[466,x]+F[67,x]
F[67,x] = F[465,x]+F[68,x]
F[68,x] = F[69,x]+F[70,x]
F[69,x] = F[2,x]*F[29,x]
F[70,x] = F[51,x]*F[71,x]
F[71,x] = F[72,x]
F[72,x] = F[33,x]*F[73,x]
F[73,x] = F[74,x]+F[76,x]
F[74,x] = F[64,x]+F[75,x]
F[75,x] = F[2,x]*F[23,x]
F[76,x] = F[235,x]+F[77,x]
F[77,x] = F[78,x]+F[79,x]
F[78,x] = F[2,x]+F[71,x]
F[79,x] = F[80,x]
F[80,x] = F[33,x]*F[81,x]
F[81,x] = F[82,x]
F[82,x] = -F[85,x]+F[83,x]
F[83,x] = 1/F[33,x]*F[84,x]
F[84,x] = F[78,x]
F[85,x] = F[86,x]+F[87,x]
F[86,x] = F[23,x]+F[78,x]
F[87,x] = F[88,x]
F[88,x] = F[33,x]*F[89,x]
F[89,x] = 1/F[33,x]*F[90,x]
F[90,x] = F[91,x]
F[91,x] = -F[104,x]+F[92,x]
F[92,x] = 1/F[33,x]*F[93,x]
F[93,x] = F[94,x]
F[94,x] = -F[2,x]+F[95,x]
F[95,x] = -F[0,x]+F[96,x]
F[96,x] = F[0,x]+F[97,x]
F[97,x] = F[98,x]
F[98,x] = F[33,x]*F[99,x]
F[99,x] = F[100,x]+F[454,x]
F[100,x] = F[101,x]+F[96,x]
F[101,x] = F[102,x]+F[12,x]
F[102,x] = F[103,x]
F[103,x] = F[104,x]*F[33,x]
F[104,x] = F[105,x]
F[105,x] = F[106,x]*F[33,x]
F[106,x] = F[107,x]+F[129,x]
F[107,x] = F[108,x]+F[117,x]
F[108,x] = F[109,x]*F[23,x]
F[109,x] = F[110,x]+F[34,x]
F[110,x] = F[111,x]+F[112,x]
F[111,x] = F[2,x]*F[30,x]
F[112,x] = F[113,x]
F[113,x] = F[114,x]*F[30,x]*F[33,x]
F[114,x] = F[110,x]+F[115,x]
F[115,x] = F[116,x]
F[116,x] = F[106,x]*F[33,x]
F[117,x] = F[118,x]*F[30,x]
F[118,x] = F[119,x]+F[121,x]
F[119,x] = F[120,x]*F[30,x]
F[120,x] = F[60,x]+F[71,x]
F[121,x] = F[122,x]
F[122,x] = F[123,x]*F[30,x]*F[33,x]
F[123,x] = 1/F[33,x]*F[124,x]
F[124,x] = F[125,x]
F[125,x] = -F[126,x]+F[104,x]
F[126,x] = F[127,x]+F[31,x]
F[127,x] = F[128,x]
F[128,x] = F[114,x]*F[33,x]
F[129,x] = F[130,x]+F[131,x]
F[130,x] = F[34,x]*F[78,x]
F[131,x] = F[132,x]
F[132,x] = F[133,x]*F[33,x]
F[133,x] = F[134,x]+F[464,x]
F[134,x] = F[110,x]*F[135,x]
F[135,x] = 1/F[33,x]*F[136,x]
F[136,x] = F[137,x]
F[137,x] = -F[23,x]+F[138,x]
F[138,x] = F[0,x]+F[139,x]
F[139,x] = F[140,x]
F[140,x] = F[141,x]*F[33,x]
F[141,x] = F[142,x]+F[146,x]
F[142,x] = F[138,x]+F[143,x]
F[143,x] = -F[146,x]+F[144,x]
F[144,x] = 1/F[33,x]*F[145,x]
F[145,x] = F[94,x]
F[146,x] = F[147,x]
F[147,x] = F[148,x]*F[33,x]
F[148,x] = F[149,x]+F[177,x]
F[149,x] = 1/F[33,x]*F[150,x]
F[150,x] = F[151,x]
F[151,x] = -F[154,x]+F[152,x]
F[152,x] = 1/F[33,x]*F[153,x]
F[153,x] = F[94,x]
F[154,x] = -F[159,x]+F[155,x]
F[155,x] = F[156,x]+F[157,x]
F[156,x] = F[0,x]*F[96,x]
F[157,x] = -F[158,x]+F[152,x]
F[158,x] = F[2,x]*F[96,x]
F[159,x] = F[160,x]+F[96,x]
F[160,x] = F[161,x]
F[161,x] = F[162,x]*F[33,x]
F[162,x] = F[163,x]+F[184,x]
F[163,x] = F[164,x]+F[165,x]
F[164,x] = F[0,x]*F[159,x]
F[165,x] = F[166,x]
F[166,x] = F[167,x]*F[33,x]
F[167,x] = F[168,x]+F[169,x]
F[168,x] = F[159,x]*F[99,x]
F[169,x] = F[170,x]
F[170,x] = F[171,x]*F[176,x]*F[33,x]
F[171,x] = 1/F[33,x]*F[172,x]
F[172,x] = F[173,x]
F[173,x] = -F[82,x]+F[174,x]
F[174,x] = 1/F[33,x]*F[175,x]
F[175,x] = F[71,x]
F[176,x] = 1/F[60,x]*F[177,x]
F[177,x] = -F[181,x]+F[178,x]
F[178,x] = 1/F[33,x]*F[179,x]
F[179,x] = F[180,x]
F[180,x] = -F[151,x]+F[157,x]
F[181,x] = F[182,x]+F[183,x]
F[182,x] = F[149,x]*F[2,x]
F[183,x] = F[176,x]*F[71,x]
F[184,x] = -F[459,x]+F[185,x]
F[185,x] = -F[191,x]+F[186,x]
F[186,x] = 1/F[33,x]*F[187,x]
F[187,x] = F[188,x]
F[188,x] = -F[189,x]+F[155,x]
F[189,x] = F[11,x]+F[190,x]
F[190,x] = F[0,x]^2
F[191,x] = F[192,x]+F[193,x]
F[192,x] = F[189,x]*F[96,x]
F[193,x] = F[194,x]
F[194,x] = F[195,x]*F[33,x]
F[195,x] = F[196,x]+F[197,x]
F[196,x] = F[149,x]*F[189,x]
F[197,x] = F[176,x]*F[198,x]
F[198,x] = -F[189,x]+F[199,x]
F[199,x] = -F[449,x]+F[200,x]
F[200,x] = 1/F[33,x]*F[201,x]
F[201,x] = F[202,x]
F[202,x] = -F[205,x]+F[203,x]
F[203,x] = 1/F[33,x]*F[204,x]
F[204,x] = F[6,x]
F[205,x] = F[206,x]+F[24,x]
F[206,x] = F[207,x]
F[207,x] = F[208,x]*F[33,x]
F[208,x] = F[209,x]+F[440,x]
F[209,x] = F[210,x]
F[210,x] = F[211,x]*F[33,x]*F[4,x]
F[211,x] = 1/F[33,x]*F[212,x]
F[212,x] = F[213,x]
F[213,x] = F[214,x]+F[78,x]
F[214,x] = F[215,x]
F[215,x] = F[216,x]*F[33,x]
F[216,x] = F[213,x]+F[217,x]
F[217,x] = F[218,x]+F[439,x]
F[218,x] = F[219,x]+F[68,x]
F[219,x] = F[220,x]
F[220,x] = F[221,x]*F[33,x]
F[221,x] = F[222,x]+F[223,x]
F[222,x] = F[213,x]*F[4,x]
F[223,x] = F[224,x]
F[224,x] = F[20,x]*F[225,x]*F[33,x]
F[225,x] = 1/F[30,x]/F[33,x]*F[226,x]
F[226,x] = F[227,x]
F[227,x] = 1/F[33,x]*F[228,x]
F[228,x] = F[229,x]
F[229,x] = -F[436,x]+F[230,x]
F[230,x] = -F[395,x]+F[231,x]
F[231,x] = F[232,x]
F[232,x] = -F[238,x]+F[233,x]
F[233,x] = 1/F[33,x]*F[234,x]
F[234,x] = F[235,x]
F[235,x] = -F[74,x]+F[236,x]
F[236,x] = -F[237,x]+F[203,x]
F[237,x] = F[25,x]+F[79,x]
F[238,x] = F[239,x]+F[435,x]
F[239,x] = -F[430,x]+F[240,x]
F[240,x] = 1/F[33,x]*F[241,x]
F[241,x] = F[242,x]
F[242,x] = -F[245,x]+F[243,x]
F[243,x] = 1/F[33,x]*F[244,x]
F[244,x] = F[6,x]
F[245,x] = F[101,x]+F[246,x]
F[246,x] = F[247,x]+F[420,x]
F[247,x] = F[248,x]
F[248,x] = F[249,x]*F[33,x]
F[249,x] = F[250,x]+F[251,x]
F[250,x] = F[12,x]*F[96,x]
F[251,x] = F[157,x]+F[252,x]
F[252,x] = F[253,x]
F[253,x] = F[254,x]*F[33,x]
F[254,x] = F[255,x]+F[256,x]
F[255,x] = F[12,x]*F[149,x]
F[256,x] = F[176,x]*F[257,x]
F[257,x] = -F[419,x]+F[258,x]
F[258,x] = F[259,x]+F[416,x]
F[259,x] = F[260,x]+F[262,x]
F[260,x] = F[261,x]+F[78,x]
F[261,x] = F[30,x]+F[60,x]
F[262,x] = F[127,x]+F[263,x]
F[263,x] = F[264,x]+F[75,x]
F[264,x] = F[265,x]
F[265,x] = F[266,x]*F[33,x]
F[266,x] = F[267,x]+F[268,x]
F[267,x] = F[4,x]*F[78,x]
F[268,x] = F[269,x]
F[269,x] = F[20,x]*F[270,x]*F[33,x]
F[270,x] = 1/F[33,x]*F[271,x]
F[271,x] = F[272,x]
F[272,x] = -F[30,x]+F[273,x]
F[273,x] = F[0,x]+F[274,x]
F[274,x] = F[275,x]
F[275,x] = F[276,x]*F[33,x]
F[276,x] = F[277,x]+F[414,x]
F[277,x] = F[278,x]+F[96,x]
F[278,x] = 1/F[60,x]*F[279,x]
F[279,x] = -F[412,x]+F[280,x]
F[280,x] = -F[408,x]+F[281,x]
F[281,x] = 1/F[33,x]*F[282,x]
F[282,x] = F[283,x]
F[283,x] = -F[405,x]+F[284,x]
F[284,x] = -F[287,x]+F[285,x]
F[285,x] = 1/F[33,x]*F[286,x]
F[286,x] = F[6,x]
F[287,x] = F[288,x]+F[289,x]
F[288,x] = F[138,x]*F[2,x]
F[289,x] = F[290,x]
F[290,x] = F[291,x]*F[33,x]
F[291,x] = F[292,x]+F[319,x]
F[292,x] = F[293,x]+F[299,x]
F[293,x] = F[294,x]+F[295,x]
F[294,x] = F[141,x]*F[2,x]
F[295,x] = F[296,x]*F[71,x]
F[296,x] = F[277,x]+F[297,x]
F[297,x] = F[298,x]
F[298,x] = F[176,x]*F[30,x]*F[33,x]
F[299,x] = F[300,x]*F[79,x]
F[300,x] = F[301,x]+F[96,x]
F[301,x] = 1/F[316,x]*F[302,x]
F[302,x] = F[303,x]
F[303,x] = -F[307,x]+F[304,x]
F[304,x] = 1/F[33,x]*F[305,x]
F[305,x] = F[306,x]
F[306,x] = -F[95,x]+F[151,x]
F[307,x] = -F[317,x]+F[308,x]
F[308,x] = 1/F[33,x]*F[309,x]
F[309,x] = F[310,x]
F[310,x] = -F[97,x]+F[311,x]
F[311,x] = F[312,x]
F[312,x] = F[313,x]*F[33,x]
F[313,x] = F[163,x]+F[314,x]
F[314,x] = F[315,x]
F[315,x] = F[176,x]*F[316,x]*F[33,x]
F[316,x] = F[213,x]+F[29,x]
F[317,x] = F[318,x]
F[318,x] = F[176,x]*F[316,x]*F[33,x]
F[319,x] = F[320,x]+F[325,x]
F[320,x] = F[321,x]+F[323,x]
F[321,x] = F[141,x]*F[322,x]
F[322,x] = F[2,x]+F[6,x]
F[323,x] = F[296,x]*F[324,x]
F[324,x] = -F[322,x]+F[202,x]
F[325,x] = F[300,x]*F[326,x]
F[326,x] = F[327,x]
F[327,x] = F[328,x]*F[33,x]
F[328,x] = F[329,x]+F[330,x]
F[329,x] = -F[200,x]+F[171,x]
F[330,x] = F[331,x]+F[404,x]
F[331,x] = F[332,x]+F[394,x]
F[332,x] = F[333,x]+F[355,x]
F[333,x] = F[334,x]*F[96,x]
F[334,x] = F[335,x]
F[335,x] = F[33,x]*F[336,x]
F[336,x] = F[337,x]+F[353,x]
F[337,x] = F[338,x]+F[41,x]
F[338,x] = F[30,x]+F[339,x]
F[339,x] = F[340,x]
F[340,x] = F[33,x]*F[341,x]*F[349,x]
F[341,x] = F[1,x]+F[342,x]
F[342,x] = F[343,x]
F[343,x] = F[33,x]*F[344,x]
F[344,x] = F[341,x]+F[345,x]
F[345,x] = F[346,x]+F[36,x]
F[346,x] = F[347,x]
F[347,x] = F[33,x]*F[348,x]
F[348,x] = F[342,x]+F[346,x]
F[349,x] = F[350,x]+F[351,x]
F[350,x] = F[30,x]*F[35,x]
F[351,x] = F[352,x,1]
F[352,x,k[0]] = -k[0]*(F[54,x,1]-F[54,x,k[0]])/(-1+k[0])
F[353,x] = F[354,x]
F[354,x] = F[33,x]*F[338,x]*F[35,x]
F[355,x] = F[356,x]
F[356,x] = F[33,x]*F[357,x]
F[357,x] = F[358,x]+F[392,x]
F[358,x] = F[359,x,1]
F[359,x,k[0]] = F[360,x]*F[390,x,k[0]]
F[360,x] = F[173,x]+F[361,x]
F[361,x] = F[362,x,1]
F[362,x,k[0]] = F[363,x,k[0]]
F[363,x,k[0]] = F[364,x,k[0]]*F[56,x,k[0]]
F[364,x,k[0]] = F[365,x,k[0]]+F[370,x,k[0]]
F[365,x,k[0]] = F[366,x,k[0]]*F[367,x,k[0]]
F[366,x,k[0]] = F[173,x]+F[362,x,k[0]]
F[367,x,k[0]] = F[1,x]+F[368,x,k[0]]
F[368,x,k[0]] = F[369,x,k[0]]
F[369,x,k[0]] = F[367,x,k[0]]*F[56,x,k[0]]
F[371,x,k[0]] = F[370,x,k[0]]+F[388,x,k[0]]
F[372,x,k[0]] = F[371,x,k[0]]*F[56,x,k[0]]
F[372,x,k[0]] = F[373,x,k[0]]
F[374,x,k[0]] = -k[0]*(F[373,x,1]-F[373,x,k[0]])/(-1+k[0])
F[374,x,k[0]] = F[375,x,k[0]]
F[375,x,k[0]] = F[376,x,k[0]]*F[56,x,k[0]]
F[376,x,k[0]] = F[377,x,k[0]]+F[384,x,k[0]]
F[377,x,k[0]] = F[378,x]+F[380,x,k[0]]
F[378,x] = 1/F[33,x]*F[379,x]
F[379,x] = F[82,x]
F[380,x,k[0]] = -k[0]*(F[381,x,1]-F[381,x,k[0]])/(-1+k[0])
F[381,x,k[0]] = F[373,x,k[0]]+F[382,x,k[0]]
F[382,x,k[0]] = F[383,x,k[0]]
F[383,x,k[0]] = F[30,x]*F[33,x]*F[373,x,k[0]]*F[51,x]
F[384,x,k[0]] = k[0]*F[385,x,k[0]]
F[385,x,k[0]] = 1/(-1+k[0])*(F[386,x,k[0]]*k[0]-F[386,x,1])
F[386,x,k[0]] = F[387,x,k[0]]
F[387,x,k[0]] = F[30,x]*F[33,x]*F[371,x,k[0]]
F[388,x,k[0]] = F[367,x,k[0]]*F[389,x,k[0]]
F[389,x,k[0]] = F[373,x,k[0]]+F[85,x]
F[390,x,k[0]] = F[351,x]+F[391,x,k[0]]
F[391,x,k[0]] = F[30,x]*F[367,x,k[0]]
F[392,x] = F[30,x]*F[393,x]
F[393,x] = F[370,x,1]
F[394,x] = F[395,x]
F[395,x] = F[396,x]
F[396,x] = F[33,x]*F[397,x]
F[397,x] = F[398,x]+F[401,x]
F[398,x] = F[399,x]*F[96,x]
F[399,x] = F[400,x]
F[400,x] = F[211,x]*F[33,x]
F[401,x] = F[173,x]*F[402,x]
F[402,x] = F[403,x]
F[403,x] = F[225,x]*F[33,x]
F[404,x] = F[230,x]
F[405,x] = F[406,x]
F[406,x] = F[33,x]*F[407,x]*F[96,x]
F[407,x] = F[23,x]+F[25,x]
F[408,x] = F[409,x]+F[411,x]
F[409,x] = F[146,x]+F[410,x]
F[410,x] = F[297,x]*F[60,x]
F[411,x] = F[25,x]*F[301,x]
F[412,x] = F[139,x]+F[413,x]
F[413,x] = -F[97,x]+F[143,x]
F[414,x] = F[415,x]
F[415,x] = F[30,x]*F[301,x]
F[416,x] = F[417,x]+F[418,x]
F[417,x] = F[120,x]+F[125,x]
F[418,x] = F[120,x]*F[31,x]
F[419,x] = F[12,x]+F[316,x]
F[420,x] = F[421,x]
F[421,x] = F[33,x]*F[422,x]
F[422,x] = F[423,x]+F[428,x]
F[423,x] = F[424,x]
F[424,x] = F[33,x]*F[425,x]*F[427,x]
F[425,x] = F[217,x]+F[426,x]
F[426,x] = F[213,x]+F[27,x]
F[427,x] = F[2,x]+F[95,x]
F[428,x] = F[429,x]
F[429,x] = F[301,x]*F[33,x]*F[425,x]
F[430,x] = F[431,x]+F[432,x]
F[431,x] = F[23,x]*F[96,x]
F[432,x] = -F[332,x]+F[433,x]
F[433,x] = 1/F[33,x]*F[434,x]
F[434,x] = F[64,x]
F[435,x] = -F[240,x]+F[171,x]
F[436,x] = F[437,x]
F[437,x] = F[33,x]*F[402,x]*F[438,x]
F[438,x] = F[213,x]+F[41,x]
F[439,x] = F[214,x]*F[30,x]
F[440,x] = F[441,x]
F[441,x] = F[33,x]*F[442,x]
F[442,x] = F[443,x]+F[445,x]
F[443,x] = F[225,x]*F[444,x]
F[444,x] = F[120,x]+F[324,x]
F[445,x] = F[205,x]*F[446,x]
F[446,x] = F[316,x]+F[447,x]
F[447,x] = F[448,x]
F[448,x] = F[30,x]*F[33,x]*F[446,x]
F[449,x] = -F[329,x]+F[450,x]
F[450,x] = -F[457,x]+F[451,x]
F[451,x] = 1/F[33,x]*F[452,x]
F[452,x] = F[453,x]
F[453,x] = -F[455,x]+F[454,x]
F[454,x] = F[242,x]+F[246,x]
F[455,x] = F[247,x]+F[456,x]
F[456,x] = F[0,x]*F[2,x]
F[457,x] = F[458,x]
F[458,x] = F[102,x]*F[40,x]
F[459,x] = F[460,x]
F[460,x] = F[33,x]*F[461,x]*F[462,x]
F[461,x] = F[218,x]+F[59,x]
F[462,x] = 1/F[33,x]*F[463,x]
F[463,x] = F[301,x]
F[464,x] = F[118,x]*F[270,x]
F[465,x] = F[30,x]*F[79,x]
F[466,x] = F[467,x]+F[468,x]
F[467,x] = F[236,x]*F[30,x]
F[468,x] = F[469,x]+F[470,x]
F[469,x] = F[322,x]*F[41,x]
F[470,x] = F[324,x]*F[351,x]
F[471,x] = F[272,x]+F[31,x]
F[472,x] = F[473,x]
F[473,x] = F[33,x]*F[474,x]
F[474,x] = F[320,x]+F[475,x]
F[475,x] = F[205,x]*F[300,x]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{33}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{33}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{10}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{2}\! \left(x \right) F_{4}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{472}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{247}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)+F_{2}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right) F_{33}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)+F_{9}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{5}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right) F_{33}\! \left(x \right) F_{471}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)+F_{76}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)+F_{24}\! \left(x \right)
F_{22}\! \left(x \right) = F_{0}\! \left(x \right) F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = x^{2} F_{23} \left(x \right)^{2}+2 x^{2} F_{23}\! \left(x \right)+4 x F_{23} \left(x \right)^{2}+x^{2}-13 x F_{23}\! \left(x \right)-F_{23} \left(x \right)^{2}+8 x +4 F_{23}\! \left(x \right)-2
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)+F_{64}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right) F_{33}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)+F_{61}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)+F_{59}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)+F_{41}\! \left(x \right)
F_{30}\! \left(x \right) = F_{1}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right) F_{34}\! \left(x \right)
F_{33}\! \left(x \right) = x
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)+F_{38}\! \left(x \right)
F_{35}\! \left(x \right) = F_{1}\! \left(x \right)+F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{33}\! \left(x \right) F_{35}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{30}\! \left(x \right) F_{33}\! \left(x \right) F_{35}\! \left(x \right) F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{34}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{33}\! \left(x \right) F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x , 1\right)
F_{44}\! \left(x , y\right) = F_{45}\! \left(x \right)+F_{57}\! \left(x , y\right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)+F_{49}\! \left(x \right)
F_{46}\! \left(x \right) = F_{30}\! \left(x \right)+F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{33}\! \left(x \right) F_{43}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{30}\! \left(x \right) F_{33}\! \left(x \right) F_{46}\! \left(x \right) F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x , 1\right)
F_{52}\! \left(x , y\right) = -\frac{-y F_{53}\! \left(x , y\right)+F_{53}\! \left(x , 1\right)}{-1+y}
F_{53}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{54}\! \left(x , y\right)
F_{54}\! \left(x , y\right) = F_{55}\! \left(x , y\right)
F_{55}\! \left(x , y\right) = F_{53}\! \left(x , y\right)^{2} F_{56}\! \left(x , y\right)
F_{56}\! \left(x , y\right) = y x
F_{57}\! \left(x , y\right) = F_{58}\! \left(x , y\right)
F_{58}\! \left(x , y\right) = F_{30}\! \left(x \right) F_{44}\! \left(x , y\right) F_{56}\! \left(x , y\right)
F_{59}\! \left(x \right) = F_{51}\! \left(x \right) F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = x^{2} F_{60} \left(x \right)^{2}+4 x^{2} F_{60}\! \left(x \right)+4 x F_{60} \left(x \right)^{2}+4 x^{2}-5 x F_{60}\! \left(x \right)-F_{60} \left(x \right)^{2}-x +2 F_{60}\! \left(x \right)
F_{61}\! \left(x \right) = F_{30}\! \left(x \right) F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{27}\! \left(x \right) F_{33}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{33}\! \left(x \right) F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{466}\! \left(x \right)+F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{465}\! \left(x \right)+F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)+F_{70}\! \left(x \right)
F_{69}\! \left(x \right) = F_{2}\! \left(x \right) F_{29}\! \left(x \right)
F_{70}\! \left(x \right) = F_{51}\! \left(x \right) F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{33}\! \left(x \right) F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)+F_{76}\! \left(x \right)
F_{74}\! \left(x \right) = F_{64}\! \left(x \right)+F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{2}\! \left(x \right) F_{23}\! \left(x \right)
F_{76}\! \left(x \right) = F_{235}\! \left(x \right)+F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)+F_{79}\! \left(x \right)
F_{78}\! \left(x \right) = F_{2}\! \left(x \right)+F_{71}\! \left(x \right)
F_{79}\! \left(x \right) = F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{33}\! \left(x \right) F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = -F_{85}\! \left(x \right)+F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = \frac{F_{84}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{84}\! \left(x \right) = F_{78}\! \left(x \right)
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)+F_{87}\! \left(x \right)
F_{86}\! \left(x \right) = F_{23}\! \left(x \right)+F_{78}\! \left(x \right)
F_{87}\! \left(x \right) = F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{33}\! \left(x \right) F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = \frac{F_{90}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = -F_{104}\! \left(x \right)+F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = \frac{F_{93}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{93}\! \left(x \right) = F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{0}\! \left(x \right)+F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{33}\! \left(x \right) F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)+F_{454}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)+F_{96}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)+F_{12}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right) F_{33}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right) F_{33}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right)+F_{129}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)+F_{117}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right) F_{23}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)+F_{34}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)+F_{112}\! \left(x \right)
F_{111}\! \left(x \right) = F_{2}\! \left(x \right) F_{30}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right) F_{30}\! \left(x \right) F_{33}\! \left(x \right)
F_{114}\! \left(x \right) = F_{110}\! \left(x \right)+F_{115}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = F_{106}\! \left(x \right) F_{33}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right) F_{30}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)+F_{121}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right) F_{30}\! \left(x \right)
F_{120}\! \left(x \right) = F_{60}\! \left(x \right)+F_{71}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right) F_{30}\! \left(x \right) F_{33}\! \left(x \right)
F_{123}\! \left(x \right) = \frac{F_{124}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)
F_{125}\! \left(x \right) = -F_{126}\! \left(x \right)+F_{104}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)+F_{31}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)
F_{128}\! \left(x \right) = F_{114}\! \left(x \right) F_{33}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)+F_{131}\! \left(x \right)
F_{130}\! \left(x \right) = F_{34}\! \left(x \right) F_{78}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right) F_{33}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right)+F_{464}\! \left(x \right)
F_{134}\! \left(x \right) = F_{110}\! \left(x \right) F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = \frac{F_{136}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{136}\! \left(x \right) = F_{137}\! \left(x \right)
F_{137}\! \left(x \right) = -F_{23}\! \left(x \right)+F_{138}\! \left(x \right)
F_{138}\! \left(x \right) = F_{0}\! \left(x \right)+F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right) F_{33}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)+F_{146}\! \left(x \right)
F_{142}\! \left(x \right) = F_{138}\! \left(x \right)+F_{143}\! \left(x \right)
F_{143}\! \left(x \right) = -F_{146}\! \left(x \right)+F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = \frac{F_{145}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{145}\! \left(x \right) = F_{94}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right) F_{33}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right)+F_{177}\! \left(x \right)
F_{149}\! \left(x \right) = \frac{F_{150}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = -F_{154}\! \left(x \right)+F_{152}\! \left(x \right)
F_{152}\! \left(x \right) = \frac{F_{153}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{153}\! \left(x \right) = F_{94}\! \left(x \right)
F_{154}\! \left(x \right) = -F_{159}\! \left(x \right)+F_{155}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right)+F_{157}\! \left(x \right)
F_{156}\! \left(x \right) = F_{0}\! \left(x \right) F_{96}\! \left(x \right)
F_{157}\! \left(x \right) = -F_{158}\! \left(x \right)+F_{152}\! \left(x \right)
F_{158}\! \left(x \right) = F_{2}\! \left(x \right) F_{96}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right)+F_{96}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right) F_{33}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)+F_{184}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right)+F_{165}\! \left(x \right)
F_{164}\! \left(x \right) = F_{0}\! \left(x \right) F_{159}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)
F_{166}\! \left(x \right) = F_{167}\! \left(x \right) F_{33}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)+F_{169}\! \left(x \right)
F_{168}\! \left(x \right) = F_{159}\! \left(x \right) F_{99}\! \left(x \right)
F_{169}\! \left(x \right) = F_{170}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right) F_{176}\! \left(x \right) F_{33}\! \left(x \right)
F_{171}\! \left(x \right) = \frac{F_{172}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{172}\! \left(x \right) = F_{173}\! \left(x \right)
F_{173}\! \left(x \right) = -F_{82}\! \left(x \right)+F_{174}\! \left(x \right)
F_{174}\! \left(x \right) = \frac{F_{175}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{175}\! \left(x \right) = F_{71}\! \left(x \right)
F_{176}\! \left(x \right) = \frac{F_{177}\! \left(x \right)}{F_{60}\! \left(x \right)}
F_{177}\! \left(x \right) = -F_{181}\! \left(x \right)+F_{178}\! \left(x \right)
F_{178}\! \left(x \right) = \frac{F_{179}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{179}\! \left(x \right) = F_{180}\! \left(x \right)
F_{180}\! \left(x \right) = -F_{151}\! \left(x \right)+F_{157}\! \left(x \right)
F_{181}\! \left(x \right) = F_{182}\! \left(x \right)+F_{183}\! \left(x \right)
F_{182}\! \left(x \right) = F_{149}\! \left(x \right) F_{2}\! \left(x \right)
F_{183}\! \left(x \right) = F_{176}\! \left(x \right) F_{71}\! \left(x \right)
F_{184}\! \left(x \right) = -F_{459}\! \left(x \right)+F_{185}\! \left(x \right)
F_{185}\! \left(x \right) = -F_{191}\! \left(x \right)+F_{186}\! \left(x \right)
F_{186}\! \left(x \right) = \frac{F_{187}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{187}\! \left(x \right) = F_{188}\! \left(x \right)
F_{188}\! \left(x \right) = -F_{189}\! \left(x \right)+F_{155}\! \left(x \right)
F_{189}\! \left(x \right) = F_{11}\! \left(x \right)+F_{190}\! \left(x \right)
F_{190}\! \left(x \right) = F_{0} \left(x \right)^{2}
F_{191}\! \left(x \right) = F_{192}\! \left(x \right)+F_{193}\! \left(x \right)
F_{192}\! \left(x \right) = F_{189}\! \left(x \right) F_{96}\! \left(x \right)
F_{193}\! \left(x \right) = F_{194}\! \left(x \right)
F_{194}\! \left(x \right) = F_{195}\! \left(x \right) F_{33}\! \left(x \right)
F_{195}\! \left(x \right) = F_{196}\! \left(x \right)+F_{197}\! \left(x \right)
F_{196}\! \left(x \right) = F_{149}\! \left(x \right) F_{189}\! \left(x \right)
F_{197}\! \left(x \right) = F_{176}\! \left(x \right) F_{198}\! \left(x \right)
F_{198}\! \left(x \right) = -F_{189}\! \left(x \right)+F_{199}\! \left(x \right)
F_{199}\! \left(x \right) = -F_{449}\! \left(x \right)+F_{200}\! \left(x \right)
F_{200}\! \left(x \right) = \frac{F_{201}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{201}\! \left(x \right) = F_{202}\! \left(x \right)
F_{202}\! \left(x \right) = -F_{205}\! \left(x \right)+F_{203}\! \left(x \right)
F_{203}\! \left(x \right) = \frac{F_{204}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{204}\! \left(x \right) = F_{6}\! \left(x \right)
F_{205}\! \left(x \right) = F_{206}\! \left(x \right)+F_{24}\! \left(x \right)
F_{206}\! \left(x \right) = F_{207}\! \left(x \right)
F_{207}\! \left(x \right) = F_{208}\! \left(x \right) F_{33}\! \left(x \right)
F_{208}\! \left(x \right) = F_{209}\! \left(x \right)+F_{440}\! \left(x \right)
F_{209}\! \left(x \right) = F_{210}\! \left(x \right)
F_{210}\! \left(x \right) = F_{211}\! \left(x \right) F_{33}\! \left(x \right) F_{4}\! \left(x \right)
F_{211}\! \left(x \right) = \frac{F_{212}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{212}\! \left(x \right) = F_{213}\! \left(x \right)
F_{213}\! \left(x \right) = F_{214}\! \left(x \right)+F_{78}\! \left(x \right)
F_{214}\! \left(x \right) = F_{215}\! \left(x \right)
F_{215}\! \left(x \right) = F_{216}\! \left(x \right) F_{33}\! \left(x \right)
F_{216}\! \left(x \right) = F_{213}\! \left(x \right)+F_{217}\! \left(x \right)
F_{217}\! \left(x \right) = F_{218}\! \left(x \right)+F_{439}\! \left(x \right)
F_{218}\! \left(x \right) = F_{219}\! \left(x \right)+F_{68}\! \left(x \right)
F_{219}\! \left(x \right) = F_{220}\! \left(x \right)
F_{220}\! \left(x \right) = F_{221}\! \left(x \right) F_{33}\! \left(x \right)
F_{221}\! \left(x \right) = F_{222}\! \left(x \right)+F_{223}\! \left(x \right)
F_{222}\! \left(x \right) = F_{213}\! \left(x \right) F_{4}\! \left(x \right)
F_{223}\! \left(x \right) = F_{224}\! \left(x \right)
F_{224}\! \left(x \right) = F_{20}\! \left(x \right) F_{225}\! \left(x \right) F_{33}\! \left(x \right)
F_{225}\! \left(x \right) = \frac{F_{226}\! \left(x \right)}{F_{30}\! \left(x \right) F_{33}\! \left(x \right)}
F_{226}\! \left(x \right) = F_{227}\! \left(x \right)
F_{227}\! \left(x \right) = \frac{F_{228}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{228}\! \left(x \right) = F_{229}\! \left(x \right)
F_{229}\! \left(x \right) = -F_{436}\! \left(x \right)+F_{230}\! \left(x \right)
F_{230}\! \left(x \right) = -F_{395}\! \left(x \right)+F_{231}\! \left(x \right)
F_{231}\! \left(x \right) = F_{232}\! \left(x \right)
F_{232}\! \left(x \right) = -F_{238}\! \left(x \right)+F_{233}\! \left(x \right)
F_{233}\! \left(x \right) = \frac{F_{234}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{234}\! \left(x \right) = F_{235}\! \left(x \right)
F_{235}\! \left(x \right) = -F_{74}\! \left(x \right)+F_{236}\! \left(x \right)
F_{236}\! \left(x \right) = -F_{237}\! \left(x \right)+F_{203}\! \left(x \right)
F_{237}\! \left(x \right) = F_{25}\! \left(x \right)+F_{79}\! \left(x \right)
F_{238}\! \left(x \right) = F_{239}\! \left(x \right)+F_{435}\! \left(x \right)
F_{239}\! \left(x \right) = -F_{430}\! \left(x \right)+F_{240}\! \left(x \right)
F_{240}\! \left(x \right) = \frac{F_{241}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{241}\! \left(x \right) = F_{242}\! \left(x \right)
F_{242}\! \left(x \right) = -F_{245}\! \left(x \right)+F_{243}\! \left(x \right)
F_{243}\! \left(x \right) = \frac{F_{244}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{244}\! \left(x \right) = F_{6}\! \left(x \right)
F_{245}\! \left(x \right) = F_{101}\! \left(x \right)+F_{246}\! \left(x \right)
F_{246}\! \left(x \right) = F_{247}\! \left(x \right)+F_{420}\! \left(x \right)
F_{247}\! \left(x \right) = F_{248}\! \left(x \right)
F_{248}\! \left(x \right) = F_{249}\! \left(x \right) F_{33}\! \left(x \right)
F_{249}\! \left(x \right) = F_{250}\! \left(x \right)+F_{251}\! \left(x \right)
F_{250}\! \left(x \right) = F_{12}\! \left(x \right) F_{96}\! \left(x \right)
F_{251}\! \left(x \right) = F_{157}\! \left(x \right)+F_{252}\! \left(x \right)
F_{252}\! \left(x \right) = F_{253}\! \left(x \right)
F_{253}\! \left(x \right) = F_{254}\! \left(x \right) F_{33}\! \left(x \right)
F_{254}\! \left(x \right) = F_{255}\! \left(x \right)+F_{256}\! \left(x \right)
F_{255}\! \left(x \right) = F_{12}\! \left(x \right) F_{149}\! \left(x \right)
F_{256}\! \left(x \right) = F_{176}\! \left(x \right) F_{257}\! \left(x \right)
F_{257}\! \left(x \right) = -F_{419}\! \left(x \right)+F_{258}\! \left(x \right)
F_{258}\! \left(x \right) = F_{259}\! \left(x \right)+F_{416}\! \left(x \right)
F_{259}\! \left(x \right) = F_{260}\! \left(x \right)+F_{262}\! \left(x \right)
F_{260}\! \left(x \right) = F_{261}\! \left(x \right)+F_{78}\! \left(x \right)
F_{261}\! \left(x \right) = F_{30}\! \left(x \right)+F_{60}\! \left(x \right)
F_{262}\! \left(x \right) = F_{127}\! \left(x \right)+F_{263}\! \left(x \right)
F_{263}\! \left(x \right) = F_{264}\! \left(x \right)+F_{75}\! \left(x \right)
F_{264}\! \left(x \right) = F_{265}\! \left(x \right)
F_{265}\! \left(x \right) = F_{266}\! \left(x \right) F_{33}\! \left(x \right)
F_{266}\! \left(x \right) = F_{267}\! \left(x \right)+F_{268}\! \left(x \right)
F_{267}\! \left(x \right) = F_{4}\! \left(x \right) F_{78}\! \left(x \right)
F_{268}\! \left(x \right) = F_{269}\! \left(x \right)
F_{269}\! \left(x \right) = F_{20}\! \left(x \right) F_{270}\! \left(x \right) F_{33}\! \left(x \right)
F_{270}\! \left(x \right) = \frac{F_{271}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{271}\! \left(x \right) = F_{272}\! \left(x \right)
F_{272}\! \left(x \right) = -F_{30}\! \left(x \right)+F_{273}\! \left(x \right)
F_{273}\! \left(x \right) = F_{0}\! \left(x \right)+F_{274}\! \left(x \right)
F_{274}\! \left(x \right) = F_{275}\! \left(x \right)
F_{275}\! \left(x \right) = F_{276}\! \left(x \right) F_{33}\! \left(x \right)
F_{276}\! \left(x \right) = F_{277}\! \left(x \right)+F_{414}\! \left(x \right)
F_{277}\! \left(x \right) = F_{278}\! \left(x \right)+F_{96}\! \left(x \right)
F_{278}\! \left(x \right) = \frac{F_{279}\! \left(x \right)}{F_{60}\! \left(x \right)}
F_{279}\! \left(x \right) = -F_{412}\! \left(x \right)+F_{280}\! \left(x \right)
F_{280}\! \left(x \right) = -F_{408}\! \left(x \right)+F_{281}\! \left(x \right)
F_{281}\! \left(x \right) = \frac{F_{282}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{282}\! \left(x \right) = F_{283}\! \left(x \right)
F_{283}\! \left(x \right) = -F_{405}\! \left(x \right)+F_{284}\! \left(x \right)
F_{284}\! \left(x \right) = -F_{287}\! \left(x \right)+F_{285}\! \left(x \right)
F_{285}\! \left(x \right) = \frac{F_{286}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{286}\! \left(x \right) = F_{6}\! \left(x \right)
F_{287}\! \left(x \right) = F_{288}\! \left(x \right)+F_{289}\! \left(x \right)
F_{288}\! \left(x \right) = F_{138}\! \left(x \right) F_{2}\! \left(x \right)
F_{289}\! \left(x \right) = F_{290}\! \left(x \right)
F_{290}\! \left(x \right) = F_{291}\! \left(x \right) F_{33}\! \left(x \right)
F_{291}\! \left(x \right) = F_{292}\! \left(x \right)+F_{319}\! \left(x \right)
F_{292}\! \left(x \right) = F_{293}\! \left(x \right)+F_{299}\! \left(x \right)
F_{293}\! \left(x \right) = F_{294}\! \left(x \right)+F_{295}\! \left(x \right)
F_{294}\! \left(x \right) = F_{141}\! \left(x \right) F_{2}\! \left(x \right)
F_{295}\! \left(x \right) = F_{296}\! \left(x \right) F_{71}\! \left(x \right)
F_{296}\! \left(x \right) = F_{277}\! \left(x \right)+F_{297}\! \left(x \right)
F_{297}\! \left(x \right) = F_{298}\! \left(x \right)
F_{298}\! \left(x \right) = F_{176}\! \left(x \right) F_{30}\! \left(x \right) F_{33}\! \left(x \right)
F_{299}\! \left(x \right) = F_{300}\! \left(x \right) F_{79}\! \left(x \right)
F_{300}\! \left(x \right) = F_{301}\! \left(x \right)+F_{96}\! \left(x \right)
F_{301}\! \left(x \right) = \frac{F_{302}\! \left(x \right)}{F_{316}\! \left(x \right)}
F_{302}\! \left(x \right) = F_{303}\! \left(x \right)
F_{303}\! \left(x \right) = -F_{307}\! \left(x \right)+F_{304}\! \left(x \right)
F_{304}\! \left(x \right) = \frac{F_{305}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{305}\! \left(x \right) = F_{306}\! \left(x \right)
F_{306}\! \left(x \right) = -F_{95}\! \left(x \right)+F_{151}\! \left(x \right)
F_{307}\! \left(x \right) = -F_{317}\! \left(x \right)+F_{308}\! \left(x \right)
F_{308}\! \left(x \right) = \frac{F_{309}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{309}\! \left(x \right) = F_{310}\! \left(x \right)
F_{310}\! \left(x \right) = -F_{97}\! \left(x \right)+F_{311}\! \left(x \right)
F_{311}\! \left(x \right) = F_{312}\! \left(x \right)
F_{312}\! \left(x \right) = F_{313}\! \left(x \right) F_{33}\! \left(x \right)
F_{313}\! \left(x \right) = F_{163}\! \left(x \right)+F_{314}\! \left(x \right)
F_{314}\! \left(x \right) = F_{315}\! \left(x \right)
F_{315}\! \left(x \right) = F_{176}\! \left(x \right) F_{316}\! \left(x \right) F_{33}\! \left(x \right)
F_{316}\! \left(x \right) = F_{213}\! \left(x \right)+F_{29}\! \left(x \right)
F_{317}\! \left(x \right) = F_{318}\! \left(x \right)
F_{318}\! \left(x \right) = F_{176}\! \left(x \right) F_{316}\! \left(x \right) F_{33}\! \left(x \right)
F_{319}\! \left(x \right) = F_{320}\! \left(x \right)+F_{325}\! \left(x \right)
F_{320}\! \left(x \right) = F_{321}\! \left(x \right)+F_{323}\! \left(x \right)
F_{321}\! \left(x \right) = F_{141}\! \left(x \right) F_{322}\! \left(x \right)
F_{322}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{323}\! \left(x \right) = F_{296}\! \left(x \right) F_{324}\! \left(x \right)
F_{324}\! \left(x \right) = -F_{322}\! \left(x \right)+F_{202}\! \left(x \right)
F_{325}\! \left(x \right) = F_{300}\! \left(x \right) F_{326}\! \left(x \right)
F_{326}\! \left(x \right) = F_{327}\! \left(x \right)
F_{327}\! \left(x \right) = F_{328}\! \left(x \right) F_{33}\! \left(x \right)
F_{328}\! \left(x \right) = F_{329}\! \left(x \right)+F_{330}\! \left(x \right)
F_{329}\! \left(x \right) = -F_{200}\! \left(x \right)+F_{171}\! \left(x \right)
F_{330}\! \left(x \right) = F_{331}\! \left(x \right)+F_{404}\! \left(x \right)
F_{331}\! \left(x \right) = F_{332}\! \left(x \right)+F_{394}\! \left(x \right)
F_{332}\! \left(x \right) = F_{333}\! \left(x \right)+F_{355}\! \left(x \right)
F_{333}\! \left(x \right) = F_{334}\! \left(x \right) F_{96}\! \left(x \right)
F_{334}\! \left(x \right) = F_{335}\! \left(x \right)
F_{335}\! \left(x \right) = F_{33}\! \left(x \right) F_{336}\! \left(x \right)
F_{336}\! \left(x \right) = F_{337}\! \left(x \right)+F_{353}\! \left(x \right)
F_{337}\! \left(x \right) = F_{338}\! \left(x \right)+F_{41}\! \left(x \right)
F_{338}\! \left(x \right) = F_{30}\! \left(x \right)+F_{339}\! \left(x \right)
F_{339}\! \left(x \right) = F_{340}\! \left(x \right)
F_{340}\! \left(x \right) = F_{33}\! \left(x \right) F_{341}\! \left(x \right) F_{349}\! \left(x \right)
F_{341}\! \left(x \right) = F_{1}\! \left(x \right)+F_{342}\! \left(x \right)
F_{342}\! \left(x \right) = F_{343}\! \left(x \right)
F_{343}\! \left(x \right) = F_{33}\! \left(x \right) F_{344}\! \left(x \right)
F_{344}\! \left(x \right) = F_{341}\! \left(x \right)+F_{345}\! \left(x \right)
F_{345}\! \left(x \right) = F_{346}\! \left(x \right)+F_{36}\! \left(x \right)
F_{346}\! \left(x \right) = F_{347}\! \left(x \right)
F_{347}\! \left(x \right) = F_{33}\! \left(x \right) F_{348}\! \left(x \right)
F_{348}\! \left(x \right) = F_{342}\! \left(x \right)+F_{346}\! \left(x \right)
F_{349}\! \left(x \right) = F_{350}\! \left(x \right)+F_{351}\! \left(x \right)
F_{350}\! \left(x \right) = F_{30}\! \left(x \right) F_{35}\! \left(x \right)
F_{351}\! \left(x \right) = F_{352}\! \left(x , 1\right)
F_{352}\! \left(x , y\right) = -\frac{y \left(F_{54}\! \left(x , 1\right)-F_{54}\! \left(x , y\right)\right)}{-1+y}
F_{353}\! \left(x \right) = F_{354}\! \left(x \right)
F_{354}\! \left(x \right) = F_{33}\! \left(x \right) F_{338}\! \left(x \right) F_{35}\! \left(x \right)
F_{355}\! \left(x \right) = F_{356}\! \left(x \right)
F_{356}\! \left(x \right) = F_{33}\! \left(x \right) F_{357}\! \left(x \right)
F_{357}\! \left(x \right) = F_{358}\! \left(x \right)+F_{392}\! \left(x \right)
F_{358}\! \left(x \right) = F_{359}\! \left(x , 1\right)
F_{359}\! \left(x , y\right) = F_{360}\! \left(x \right) F_{390}\! \left(x , y\right)
F_{360}\! \left(x \right) = F_{173}\! \left(x \right)+F_{361}\! \left(x \right)
F_{361}\! \left(x \right) = F_{362}\! \left(x , 1\right)
F_{362}\! \left(x , y\right) = F_{363}\! \left(x , y\right)
F_{363}\! \left(x , y\right) = F_{364}\! \left(x , y\right) F_{56}\! \left(x , y\right)
F_{364}\! \left(x , y\right) = F_{365}\! \left(x , y\right)+F_{370}\! \left(x , y\right)
F_{365}\! \left(x , y\right) = F_{366}\! \left(x , y\right) F_{367}\! \left(x , y\right)
F_{366}\! \left(x , y\right) = F_{173}\! \left(x \right)+F_{362}\! \left(x , y\right)
F_{367}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{368}\! \left(x , y\right)
F_{368}\! \left(x , y\right) = F_{369}\! \left(x , y\right)
F_{369}\! \left(x , y\right) = F_{367}\! \left(x , y\right) F_{56}\! \left(x , y\right)
F_{371}\! \left(x , y\right) = F_{370}\! \left(x , y\right)+F_{388}\! \left(x , y\right)
F_{372}\! \left(x , y\right) = F_{371}\! \left(x , y\right) F_{56}\! \left(x , y\right)
F_{372}\! \left(x , y\right) = F_{373}\! \left(x , y\right)
F_{374}\! \left(x , y\right) = -\frac{y \left(F_{373}\! \left(x , 1\right)-F_{373}\! \left(x , y\right)\right)}{-1+y}
F_{374}\! \left(x , y\right) = F_{375}\! \left(x , y\right)
F_{375}\! \left(x , y\right) = F_{376}\! \left(x , y\right) F_{56}\! \left(x , y\right)
F_{376}\! \left(x , y\right) = F_{377}\! \left(x , y\right)+F_{384}\! \left(x , y\right)
F_{377}\! \left(x , y\right) = F_{378}\! \left(x \right)+F_{380}\! \left(x , y\right)
F_{378}\! \left(x \right) = \frac{F_{379}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{379}\! \left(x \right) = F_{82}\! \left(x \right)
F_{380}\! \left(x , y\right) = -\frac{y \left(F_{381}\! \left(x , 1\right)-F_{381}\! \left(x , y\right)\right)}{-1+y}
F_{381}\! \left(x , y\right) = F_{373}\! \left(x , y\right)+F_{382}\! \left(x , y\right)
F_{382}\! \left(x , y\right) = F_{383}\! \left(x , y\right)
F_{383}\! \left(x , y\right) = F_{30}\! \left(x \right) F_{33}\! \left(x \right) F_{373}\! \left(x , y\right) F_{51}\! \left(x \right)
F_{384}\! \left(x , y\right) = y F_{385}\! \left(x , y\right)
F_{385}\! \left(x , y\right) = -\frac{-y F_{386}\! \left(x , y\right)+F_{386}\! \left(x , 1\right)}{-1+y}
F_{386}\! \left(x , y\right) = F_{387}\! \left(x , y\right)
F_{387}\! \left(x , y\right) = F_{30}\! \left(x \right) F_{33}\! \left(x \right) F_{371}\! \left(x , y\right)
F_{388}\! \left(x , y\right) = F_{367}\! \left(x , y\right) F_{389}\! \left(x , y\right)
F_{389}\! \left(x , y\right) = F_{373}\! \left(x , y\right)+F_{85}\! \left(x \right)
F_{390}\! \left(x , y\right) = F_{351}\! \left(x \right)+F_{391}\! \left(x , y\right)
F_{391}\! \left(x , y\right) = F_{30}\! \left(x \right) F_{367}\! \left(x , y\right)
F_{392}\! \left(x \right) = F_{30}\! \left(x \right) F_{393}\! \left(x \right)
F_{393}\! \left(x \right) = F_{370}\! \left(x , 1\right)
F_{394}\! \left(x \right) = F_{395}\! \left(x \right)
F_{395}\! \left(x \right) = F_{396}\! \left(x \right)
F_{396}\! \left(x \right) = F_{33}\! \left(x \right) F_{397}\! \left(x \right)
F_{397}\! \left(x \right) = F_{398}\! \left(x \right)+F_{401}\! \left(x \right)
F_{398}\! \left(x \right) = F_{399}\! \left(x \right) F_{96}\! \left(x \right)
F_{399}\! \left(x \right) = F_{400}\! \left(x \right)
F_{400}\! \left(x \right) = F_{211}\! \left(x \right) F_{33}\! \left(x \right)
F_{401}\! \left(x \right) = F_{173}\! \left(x \right) F_{402}\! \left(x \right)
F_{402}\! \left(x \right) = F_{403}\! \left(x \right)
F_{403}\! \left(x \right) = F_{225}\! \left(x \right) F_{33}\! \left(x \right)
F_{404}\! \left(x \right) = F_{230}\! \left(x \right)
F_{405}\! \left(x \right) = F_{406}\! \left(x \right)
F_{406}\! \left(x \right) = F_{33}\! \left(x \right) F_{407}\! \left(x \right) F_{96}\! \left(x \right)
F_{407}\! \left(x \right) = F_{23}\! \left(x \right)+F_{25}\! \left(x \right)
F_{408}\! \left(x \right) = F_{409}\! \left(x \right)+F_{411}\! \left(x \right)
F_{409}\! \left(x \right) = F_{146}\! \left(x \right)+F_{410}\! \left(x \right)
F_{410}\! \left(x \right) = F_{297}\! \left(x \right) F_{60}\! \left(x \right)
F_{411}\! \left(x \right) = F_{25}\! \left(x \right) F_{301}\! \left(x \right)
F_{412}\! \left(x \right) = F_{139}\! \left(x \right)+F_{413}\! \left(x \right)
F_{413}\! \left(x \right) = -F_{97}\! \left(x \right)+F_{143}\! \left(x \right)
F_{414}\! \left(x \right) = F_{415}\! \left(x \right)
F_{415}\! \left(x \right) = F_{30}\! \left(x \right) F_{301}\! \left(x \right)
F_{416}\! \left(x \right) = F_{417}\! \left(x \right)+F_{418}\! \left(x \right)
F_{417}\! \left(x \right) = F_{120}\! \left(x \right)+F_{125}\! \left(x \right)
F_{418}\! \left(x \right) = F_{120}\! \left(x \right) F_{31}\! \left(x \right)
F_{419}\! \left(x \right) = F_{12}\! \left(x \right)+F_{316}\! \left(x \right)
F_{420}\! \left(x \right) = F_{421}\! \left(x \right)
F_{421}\! \left(x \right) = F_{33}\! \left(x \right) F_{422}\! \left(x \right)
F_{422}\! \left(x \right) = F_{423}\! \left(x \right)+F_{428}\! \left(x \right)
F_{423}\! \left(x \right) = F_{424}\! \left(x \right)
F_{424}\! \left(x \right) = F_{33}\! \left(x \right) F_{425}\! \left(x \right) F_{427}\! \left(x \right)
F_{425}\! \left(x \right) = F_{217}\! \left(x \right)+F_{426}\! \left(x \right)
F_{426}\! \left(x \right) = F_{213}\! \left(x \right)+F_{27}\! \left(x \right)
F_{427}\! \left(x \right) = F_{2}\! \left(x \right)+F_{95}\! \left(x \right)
F_{428}\! \left(x \right) = F_{429}\! \left(x \right)
F_{429}\! \left(x \right) = F_{301}\! \left(x \right) F_{33}\! \left(x \right) F_{425}\! \left(x \right)
F_{430}\! \left(x \right) = F_{431}\! \left(x \right)+F_{432}\! \left(x \right)
F_{431}\! \left(x \right) = F_{23}\! \left(x \right) F_{96}\! \left(x \right)
F_{432}\! \left(x \right) = -F_{332}\! \left(x \right)+F_{433}\! \left(x \right)
F_{433}\! \left(x \right) = \frac{F_{434}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{434}\! \left(x \right) = F_{64}\! \left(x \right)
F_{435}\! \left(x \right) = -F_{240}\! \left(x \right)+F_{171}\! \left(x \right)
F_{436}\! \left(x \right) = F_{437}\! \left(x \right)
F_{437}\! \left(x \right) = F_{33}\! \left(x \right) F_{402}\! \left(x \right) F_{438}\! \left(x \right)
F_{438}\! \left(x \right) = F_{213}\! \left(x \right)+F_{41}\! \left(x \right)
F_{439}\! \left(x \right) = F_{214}\! \left(x \right) F_{30}\! \left(x \right)
F_{440}\! \left(x \right) = F_{441}\! \left(x \right)
F_{441}\! \left(x \right) = F_{33}\! \left(x \right) F_{442}\! \left(x \right)
F_{442}\! \left(x \right) = F_{443}\! \left(x \right)+F_{445}\! \left(x \right)
F_{443}\! \left(x \right) = F_{225}\! \left(x \right) F_{444}\! \left(x \right)
F_{444}\! \left(x \right) = F_{120}\! \left(x \right)+F_{324}\! \left(x \right)
F_{445}\! \left(x \right) = F_{205}\! \left(x \right) F_{446}\! \left(x \right)
F_{446}\! \left(x \right) = F_{316}\! \left(x \right)+F_{447}\! \left(x \right)
F_{447}\! \left(x \right) = F_{448}\! \left(x \right)
F_{448}\! \left(x \right) = F_{30}\! \left(x \right) F_{33}\! \left(x \right) F_{446}\! \left(x \right)
F_{449}\! \left(x \right) = -F_{329}\! \left(x \right)+F_{450}\! \left(x \right)
F_{450}\! \left(x \right) = -F_{457}\! \left(x \right)+F_{451}\! \left(x \right)
F_{451}\! \left(x \right) = \frac{F_{452}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{452}\! \left(x \right) = F_{453}\! \left(x \right)
F_{453}\! \left(x \right) = -F_{455}\! \left(x \right)+F_{454}\! \left(x \right)
F_{454}\! \left(x \right) = F_{242}\! \left(x \right)+F_{246}\! \left(x \right)
F_{455}\! \left(x \right) = F_{247}\! \left(x \right)+F_{456}\! \left(x \right)
F_{456}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \left(x \right)
F_{457}\! \left(x \right) = F_{458}\! \left(x \right)
F_{458}\! \left(x \right) = F_{102}\! \left(x \right) F_{40}\! \left(x \right)
F_{459}\! \left(x \right) = F_{460}\! \left(x \right)
F_{460}\! \left(x \right) = F_{33}\! \left(x \right) F_{461}\! \left(x \right) F_{462}\! \left(x \right)
F_{461}\! \left(x \right) = F_{218}\! \left(x \right)+F_{59}\! \left(x \right)
F_{462}\! \left(x \right) = \frac{F_{463}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{463}\! \left(x \right) = F_{301}\! \left(x \right)
F_{464}\! \left(x \right) = F_{118}\! \left(x \right) F_{270}\! \left(x \right)
F_{465}\! \left(x \right) = F_{30}\! \left(x \right) F_{79}\! \left(x \right)
F_{466}\! \left(x \right) = F_{467}\! \left(x \right)+F_{468}\! \left(x \right)
F_{467}\! \left(x \right) = F_{236}\! \left(x \right) F_{30}\! \left(x \right)
F_{468}\! \left(x \right) = F_{469}\! \left(x \right)+F_{470}\! \left(x \right)
F_{469}\! \left(x \right) = F_{322}\! \left(x \right) F_{41}\! \left(x \right)
F_{470}\! \left(x \right) = F_{324}\! \left(x \right) F_{351}\! \left(x \right)
F_{471}\! \left(x \right) = F_{272}\! \left(x \right)+F_{31}\! \left(x \right)
F_{472}\! \left(x \right) = F_{473}\! \left(x \right)
F_{473}\! \left(x \right) = F_{33}\! \left(x \right) F_{474}\! \left(x \right)
F_{474}\! \left(x \right) = F_{320}\! \left(x \right)+F_{475}\! \left(x \right)
F_{475}\! \left(x \right) = F_{205}\! \left(x \right) F_{300}\! \left(x \right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_33(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_2(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_33(x)*F_8(x))
Eq(F_8(x), F_10(x) + F_9(x))
Eq(F_9(x), F_2(x)*F_4(x))
Eq(F_10(x), F_11(x) + F_472(x))
Eq(F_11(x), F_12(x) + F_247(x))
Eq(F_12(x), F_13(x) + F_2(x))
Eq(F_13(x), F_14(x))
Eq(F_14(x), F_15(x)*F_33(x))
Eq(F_15(x), F_16(x) + F_9(x))
Eq(F_16(x), F_17(x))
Eq(F_17(x), F_18(x) + F_5(x))
Eq(F_18(x), F_19(x))
Eq(F_19(x), F_20(x)*F_33(x)*F_471(x))
Eq(F_20(x), F_21(x) + F_76(x))
Eq(F_21(x), F_22(x) + F_24(x))
Eq(F_22(x), F_0(x)*F_23(x))
Eq(F_23(x), x**2 + 8*x + (x**2 + 4*x - 1)*F_23(x)**2 + (2*x**2 - 13*x + 4)*F_23(x) - 2)
Eq(F_24(x), F_25(x) + F_64(x))
Eq(F_25(x), F_26(x))
Eq(F_26(x), F_27(x)*F_33(x))
Eq(F_27(x), F_28(x) + F_61(x))
Eq(F_28(x), F_29(x) + F_59(x))
Eq(F_29(x), F_30(x) + F_41(x))
Eq(F_30(x), F_1(x) + F_31(x))
Eq(F_31(x), F_32(x))
Eq(F_32(x), F_33(x)*F_34(x))
Eq(F_33(x), x)
Eq(F_34(x), F_35(x) + F_38(x))
Eq(F_35(x), F_1(x) + F_36(x))
Eq(F_36(x), F_37(x))
Eq(F_37(x), F_33(x)*F_35(x))
Eq(F_38(x), F_39(x))
Eq(F_39(x), F_30(x)*F_33(x)*F_35(x)*F_40(x))
Eq(F_40(x), F_34(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_33(x)*F_43(x))
Eq(F_43(x), F_44(x, 1))
Eq(F_44(x, k_0), F_45(x) + F_57(x, k_0))
Eq(F_45(x), F_46(x) + F_49(x))
Eq(F_46(x), F_30(x) + F_47(x))
Eq(F_47(x), F_48(x))
Eq(F_48(x), F_33(x)*F_43(x))
Eq(F_49(x), F_50(x))
Eq(F_50(x), F_30(x)*F_33(x)*F_46(x)*F_51(x))
Eq(F_51(x), F_52(x, 1))
Eq(F_52(x, k_0), (-k_0*F_53(x, k_0) + F_53(x, 1))/(1 - k_0))
Eq(F_53(x, k_0), F_1(x) + F_54(x, k_0))
Eq(F_54(x, k_0), F_55(x, k_0))
Eq(F_55(x, k_0), F_53(x, k_0)**2*F_56(x, k_0))
Eq(F_56(x, k_0), k_0*x)
Eq(F_57(x, k_0), F_58(x, k_0))
Eq(F_58(x, k_0), F_30(x)*F_44(x, k_0)*F_56(x, k_0))
Eq(F_59(x), F_51(x)*F_60(x))
Eq(F_60(x), x**2 + 8*x + (F_60(x) + 1)**2*(x**2 + 4*x - 1) + (F_60(x) + 1)*(2*x**2 - 13*x + 3) + F_60(x) - 2)
Eq(F_61(x), F_30(x)*F_62(x))
Eq(F_62(x), F_63(x))
Eq(F_63(x), F_27(x)*F_33(x))
Eq(F_64(x), F_65(x))
Eq(F_65(x), F_33(x)*F_66(x))
Eq(F_66(x), F_466(x) + F_67(x))
Eq(F_67(x), F_465(x) + F_68(x))
Eq(F_68(x), F_69(x) + F_70(x))
Eq(F_69(x), F_2(x)*F_29(x))
Eq(F_70(x), F_51(x)*F_71(x))
Eq(F_71(x), F_72(x))
Eq(F_72(x), F_33(x)*F_73(x))
Eq(F_73(x), F_74(x) + F_76(x))
Eq(F_74(x), F_64(x) + F_75(x))
Eq(F_75(x), F_2(x)*F_23(x))
Eq(F_76(x), F_235(x) + F_77(x))
Eq(F_77(x), F_78(x) + F_79(x))
Eq(F_78(x), F_2(x) + F_71(x))
Eq(F_79(x), F_80(x))
Eq(F_80(x), F_33(x)*F_81(x))
Eq(F_81(x), F_82(x))
Eq(F_82(x), F_83(x) - F_85(x))
Eq(F_83(x), F_84(x)/F_33(x))
Eq(F_84(x), F_78(x))
Eq(F_85(x), F_86(x) + F_87(x))
Eq(F_86(x), F_23(x) + F_78(x))
Eq(F_87(x), F_88(x))
Eq(F_88(x), F_33(x)*F_89(x))
Eq(F_89(x), F_90(x)/F_33(x))
Eq(F_90(x), F_91(x))
Eq(F_91(x), -F_104(x) + F_92(x))
Eq(F_92(x), F_93(x)/F_33(x))
Eq(F_93(x), F_94(x))
Eq(F_94(x), -F_2(x) + F_95(x))
Eq(F_95(x), -F_0(x) + F_96(x))
Eq(F_96(x), F_0(x) + F_97(x))
Eq(F_97(x), F_98(x))
Eq(F_98(x), F_33(x)*F_99(x))
Eq(F_99(x), F_100(x) + F_454(x))
Eq(F_100(x), F_101(x) + F_96(x))
Eq(F_101(x), F_102(x) + F_12(x))
Eq(F_102(x), F_103(x))
Eq(F_103(x), F_104(x)*F_33(x))
Eq(F_104(x), F_105(x))
Eq(F_105(x), F_106(x)*F_33(x))
Eq(F_106(x), F_107(x) + F_129(x))
Eq(F_107(x), F_108(x) + F_117(x))
Eq(F_108(x), F_109(x)*F_23(x))
Eq(F_109(x), F_110(x) + F_34(x))
Eq(F_110(x), F_111(x) + F_112(x))
Eq(F_111(x), F_2(x)*F_30(x))
Eq(F_112(x), F_113(x))
Eq(F_113(x), F_114(x)*F_30(x)*F_33(x))
Eq(F_114(x), F_110(x) + F_115(x))
Eq(F_115(x), F_116(x))
Eq(F_116(x), F_106(x)*F_33(x))
Eq(F_117(x), F_118(x)*F_30(x))
Eq(F_118(x), F_119(x) + F_121(x))
Eq(F_119(x), F_120(x)*F_30(x))
Eq(F_120(x), F_60(x) + F_71(x))
Eq(F_121(x), F_122(x))
Eq(F_122(x), F_123(x)*F_30(x)*F_33(x))
Eq(F_123(x), F_124(x)/F_33(x))
Eq(F_124(x), F_125(x))
Eq(F_125(x), F_104(x) - F_126(x))
Eq(F_126(x), F_127(x) + F_31(x))
Eq(F_127(x), F_128(x))
Eq(F_128(x), F_114(x)*F_33(x))
Eq(F_129(x), F_130(x) + F_131(x))
Eq(F_130(x), F_34(x)*F_78(x))
Eq(F_131(x), F_132(x))
Eq(F_132(x), F_133(x)*F_33(x))
Eq(F_133(x), F_134(x) + F_464(x))
Eq(F_134(x), F_110(x)*F_135(x))
Eq(F_135(x), F_136(x)/F_33(x))
Eq(F_136(x), F_137(x))
Eq(F_137(x), F_138(x) - F_23(x))
Eq(F_138(x), F_0(x) + F_139(x))
Eq(F_139(x), F_140(x))
Eq(F_140(x), F_141(x)*F_33(x))
Eq(F_141(x), F_142(x) + F_146(x))
Eq(F_142(x), F_138(x) + F_143(x))
Eq(F_143(x), F_144(x) - F_146(x))
Eq(F_144(x), F_145(x)/F_33(x))
Eq(F_145(x), F_94(x))
Eq(F_146(x), F_147(x))
Eq(F_147(x), F_148(x)*F_33(x))
Eq(F_148(x), F_149(x) + F_177(x))
Eq(F_149(x), F_150(x)/F_33(x))
Eq(F_150(x), F_151(x))
Eq(F_151(x), F_152(x) - F_154(x))
Eq(F_152(x), F_153(x)/F_33(x))
Eq(F_153(x), F_94(x))
Eq(F_154(x), F_155(x) - F_159(x))
Eq(F_155(x), F_156(x) + F_157(x))
Eq(F_156(x), F_0(x)*F_96(x))
Eq(F_157(x), F_152(x) - F_158(x))
Eq(F_158(x), F_2(x)*F_96(x))
Eq(F_159(x), F_160(x) + F_96(x))
Eq(F_160(x), F_161(x))
Eq(F_161(x), F_162(x)*F_33(x))
Eq(F_162(x), F_163(x) + F_184(x))
Eq(F_163(x), F_164(x) + F_165(x))
Eq(F_164(x), F_0(x)*F_159(x))
Eq(F_165(x), F_166(x))
Eq(F_166(x), F_167(x)*F_33(x))
Eq(F_167(x), F_168(x) + F_169(x))
Eq(F_168(x), F_159(x)*F_99(x))
Eq(F_169(x), F_170(x))
Eq(F_170(x), F_171(x)*F_176(x)*F_33(x))
Eq(F_171(x), F_172(x)/F_33(x))
Eq(F_172(x), F_173(x))
Eq(F_173(x), F_174(x) - F_82(x))
Eq(F_174(x), F_175(x)/F_33(x))
Eq(F_175(x), F_71(x))
Eq(F_176(x), F_177(x)/F_60(x))
Eq(F_177(x), F_178(x) - F_181(x))
Eq(F_178(x), F_179(x)/F_33(x))
Eq(F_179(x), F_180(x))
Eq(F_180(x), -F_151(x) + F_157(x))
Eq(F_181(x), F_182(x) + F_183(x))
Eq(F_182(x), F_149(x)*F_2(x))
Eq(F_183(x), F_176(x)*F_71(x))
Eq(F_184(x), F_185(x) - F_459(x))
Eq(F_185(x), F_186(x) - F_191(x))
Eq(F_186(x), F_187(x)/F_33(x))
Eq(F_187(x), F_188(x))
Eq(F_188(x), F_155(x) - F_189(x))
Eq(F_189(x), F_11(x) + F_190(x))
Eq(F_190(x), F_0(x)**2)
Eq(F_191(x), F_192(x) + F_193(x))
Eq(F_192(x), F_189(x)*F_96(x))
Eq(F_193(x), F_194(x))
Eq(F_194(x), F_195(x)*F_33(x))
Eq(F_195(x), F_196(x) + F_197(x))
Eq(F_196(x), F_149(x)*F_189(x))
Eq(F_197(x), F_176(x)*F_198(x))
Eq(F_198(x), -F_189(x) + F_199(x))
Eq(F_199(x), F_200(x) - F_449(x))
Eq(F_200(x), F_201(x)/F_33(x))
Eq(F_201(x), F_202(x))
Eq(F_202(x), F_203(x) - F_205(x))
Eq(F_203(x), F_204(x)/F_33(x))
Eq(F_204(x), F_6(x))
Eq(F_205(x), F_206(x) + F_24(x))
Eq(F_206(x), F_207(x))
Eq(F_207(x), F_208(x)*F_33(x))
Eq(F_208(x), F_209(x) + F_440(x))
Eq(F_209(x), F_210(x))
Eq(F_210(x), F_211(x)*F_33(x)*F_4(x))
Eq(F_211(x), F_212(x)/F_33(x))
Eq(F_212(x), F_213(x))
Eq(F_213(x), F_214(x) + F_78(x))
Eq(F_214(x), F_215(x))
Eq(F_215(x), F_216(x)*F_33(x))
Eq(F_216(x), F_213(x) + F_217(x))
Eq(F_217(x), F_218(x) + F_439(x))
Eq(F_218(x), F_219(x) + F_68(x))
Eq(F_219(x), F_220(x))
Eq(F_220(x), F_221(x)*F_33(x))
Eq(F_221(x), F_222(x) + F_223(x))
Eq(F_222(x), F_213(x)*F_4(x))
Eq(F_223(x), F_224(x))
Eq(F_224(x), F_20(x)*F_225(x)*F_33(x))
Eq(F_225(x), F_226(x)/(F_30(x)*F_33(x)))
Eq(F_226(x), F_227(x))
Eq(F_227(x), F_228(x)/F_33(x))
Eq(F_228(x), F_229(x))
Eq(F_229(x), F_230(x) - F_436(x))
Eq(F_230(x), F_231(x) - F_395(x))
Eq(F_231(x), F_232(x))
Eq(F_232(x), F_233(x) - F_238(x))
Eq(F_233(x), F_234(x)/F_33(x))
Eq(F_234(x), F_235(x))
Eq(F_235(x), F_236(x) - F_74(x))
Eq(F_236(x), F_203(x) - F_237(x))
Eq(F_237(x), F_25(x) + F_79(x))
Eq(F_238(x), F_239(x) + F_435(x))
Eq(F_239(x), F_240(x) - F_430(x))
Eq(F_240(x), F_241(x)/F_33(x))
Eq(F_241(x), F_242(x))
Eq(F_242(x), F_243(x) - F_245(x))
Eq(F_243(x), F_244(x)/F_33(x))
Eq(F_244(x), F_6(x))
Eq(F_245(x), F_101(x) + F_246(x))
Eq(F_246(x), F_247(x) + F_420(x))
Eq(F_247(x), F_248(x))
Eq(F_248(x), F_249(x)*F_33(x))
Eq(F_249(x), F_250(x) + F_251(x))
Eq(F_250(x), F_12(x)*F_96(x))
Eq(F_251(x), F_157(x) + F_252(x))
Eq(F_252(x), F_253(x))
Eq(F_253(x), F_254(x)*F_33(x))
Eq(F_254(x), F_255(x) + F_256(x))
Eq(F_255(x), F_12(x)*F_149(x))
Eq(F_256(x), F_176(x)*F_257(x))
Eq(F_257(x), F_258(x) - F_419(x))
Eq(F_258(x), F_259(x) + F_416(x))
Eq(F_259(x), F_260(x) + F_262(x))
Eq(F_260(x), F_261(x) + F_78(x))
Eq(F_261(x), F_30(x) + F_60(x))
Eq(F_262(x), F_127(x) + F_263(x))
Eq(F_263(x), F_264(x) + F_75(x))
Eq(F_264(x), F_265(x))
Eq(F_265(x), F_266(x)*F_33(x))
Eq(F_266(x), F_267(x) + F_268(x))
Eq(F_267(x), F_4(x)*F_78(x))
Eq(F_268(x), F_269(x))
Eq(F_269(x), F_20(x)*F_270(x)*F_33(x))
Eq(F_270(x), F_271(x)/F_33(x))
Eq(F_271(x), F_272(x))
Eq(F_272(x), F_273(x) - F_30(x))
Eq(F_273(x), F_0(x) + F_274(x))
Eq(F_274(x), F_275(x))
Eq(F_275(x), F_276(x)*F_33(x))
Eq(F_276(x), F_277(x) + F_414(x))
Eq(F_277(x), F_278(x) + F_96(x))
Eq(F_278(x), F_279(x)/F_60(x))
Eq(F_279(x), F_280(x) - F_412(x))
Eq(F_280(x), F_281(x) - F_408(x))
Eq(F_281(x), F_282(x)/F_33(x))
Eq(F_282(x), F_283(x))
Eq(F_283(x), F_284(x) - F_405(x))
Eq(F_284(x), F_285(x) - F_287(x))
Eq(F_285(x), F_286(x)/F_33(x))
Eq(F_286(x), F_6(x))
Eq(F_287(x), F_288(x) + F_289(x))
Eq(F_288(x), F_138(x)*F_2(x))
Eq(F_289(x), F_290(x))
Eq(F_290(x), F_291(x)*F_33(x))
Eq(F_291(x), F_292(x) + F_319(x))
Eq(F_292(x), F_293(x) + F_299(x))
Eq(F_293(x), F_294(x) + F_295(x))
Eq(F_294(x), F_141(x)*F_2(x))
Eq(F_295(x), F_296(x)*F_71(x))
Eq(F_296(x), F_277(x) + F_297(x))
Eq(F_297(x), F_298(x))
Eq(F_298(x), F_176(x)*F_30(x)*F_33(x))
Eq(F_299(x), F_300(x)*F_79(x))
Eq(F_300(x), F_301(x) + F_96(x))
Eq(F_301(x), F_302(x)/F_316(x))
Eq(F_302(x), F_303(x))
Eq(F_303(x), F_304(x) - F_307(x))
Eq(F_304(x), F_305(x)/F_33(x))
Eq(F_305(x), F_306(x))
Eq(F_306(x), F_151(x) - F_95(x))
Eq(F_307(x), F_308(x) - F_317(x))
Eq(F_308(x), F_309(x)/F_33(x))
Eq(F_309(x), F_310(x))
Eq(F_310(x), F_311(x) - F_97(x))
Eq(F_311(x), F_312(x))
Eq(F_312(x), F_313(x)*F_33(x))
Eq(F_313(x), F_163(x) + F_314(x))
Eq(F_314(x), F_315(x))
Eq(F_315(x), F_176(x)*F_316(x)*F_33(x))
Eq(F_316(x), F_213(x) + F_29(x))
Eq(F_317(x), F_318(x))
Eq(F_318(x), F_176(x)*F_316(x)*F_33(x))
Eq(F_319(x), F_320(x) + F_325(x))
Eq(F_320(x), F_321(x) + F_323(x))
Eq(F_321(x), F_141(x)*F_322(x))
Eq(F_322(x), F_2(x) + F_6(x))
Eq(F_323(x), F_296(x)*F_324(x))
Eq(F_324(x), F_202(x) - F_322(x))
Eq(F_325(x), F_300(x)*F_326(x))
Eq(F_326(x), F_327(x))
Eq(F_327(x), F_328(x)*F_33(x))
Eq(F_328(x), F_329(x) + F_330(x))
Eq(F_329(x), F_171(x) - F_200(x))
Eq(F_330(x), F_331(x) + F_404(x))
Eq(F_331(x), F_332(x) + F_394(x))
Eq(F_332(x), F_333(x) + F_355(x))
Eq(F_333(x), F_334(x)*F_96(x))
Eq(F_334(x), F_335(x))
Eq(F_335(x), F_33(x)*F_336(x))
Eq(F_336(x), F_337(x) + F_353(x))
Eq(F_337(x), F_338(x) + F_41(x))
Eq(F_338(x), F_30(x) + F_339(x))
Eq(F_339(x), F_340(x))
Eq(F_340(x), F_33(x)*F_341(x)*F_349(x))
Eq(F_341(x), F_1(x) + F_342(x))
Eq(F_342(x), F_343(x))
Eq(F_343(x), F_33(x)*F_344(x))
Eq(F_344(x), F_341(x) + F_345(x))
Eq(F_345(x), F_346(x) + F_36(x))
Eq(F_346(x), F_347(x))
Eq(F_347(x), F_33(x)*F_348(x))
Eq(F_348(x), F_342(x) + F_346(x))
Eq(F_349(x), F_350(x) + F_351(x))
Eq(F_350(x), F_30(x)*F_35(x))
Eq(F_351(x), F_352(x, 1))
Eq(F_352(x, k_0), -F_54(x, 1) + (-k_0*F_54(x, k_0) + F_54(x, 1))/(1 - k_0))
Eq(F_353(x), F_354(x))
Eq(F_354(x), F_33(x)*F_338(x)*F_35(x))
Eq(F_355(x), F_356(x))
Eq(F_356(x), F_33(x)*F_357(x))
Eq(F_357(x), F_358(x) + F_392(x))
Eq(F_358(x), F_359(x, 1))
Eq(F_359(x, k_0), F_360(x)*F_390(x, k_0))
Eq(F_360(x), F_173(x) + F_361(x))
Eq(F_361(x), F_362(x, 1))
Eq(F_362(x, k_0), F_363(x, k_0))
Eq(F_363(x, k_0), F_364(x, k_0)*F_56(x, k_0))
Eq(F_364(x, k_0), F_365(x, k_0) + F_370(x, k_0))
Eq(F_365(x, k_0), F_366(x, k_0)*F_367(x, k_0))
Eq(F_366(x, k_0), F_173(x) + F_362(x, k_0))
Eq(F_367(x, k_0), F_1(x) + F_368(x, k_0))
Eq(F_368(x, k_0), F_369(x, k_0))
Eq(F_369(x, k_0), F_367(x, k_0)*F_56(x, k_0))
Eq(F_371(x, k_0), F_370(x, k_0) + F_388(x, k_0))
Eq(F_372(x, k_0), F_371(x, k_0)*F_56(x, k_0))
Eq(F_372(x, k_0), F_373(x, k_0))
Eq(F_374(x, k_0), -F_373(x, 1) + (k_0*F_373(x, k_0) - F_373(x, 1))/(k_0 - 1))
Eq(F_374(x, k_0), F_375(x, k_0))
Eq(F_375(x, k_0), F_376(x, k_0)*F_56(x, k_0))
Eq(F_376(x, k_0), F_377(x, k_0) + F_384(x, k_0))
Eq(F_377(x, k_0), F_378(x) + F_380(x, k_0))
Eq(F_378(x), F_379(x)/F_33(x))
Eq(F_379(x), F_82(x))
Eq(F_380(x, k_0), -F_381(x, 1) + (k_0*F_381(x, k_0) - F_381(x, 1))/(k_0 - 1))
Eq(F_381(x, k_0), F_373(x, k_0) + F_382(x, k_0))
Eq(F_382(x, k_0), F_383(x, k_0))
Eq(F_383(x, k_0), F_30(x)*F_33(x)*F_373(x, k_0)*F_51(x))
Eq(F_384(x, k_0), k_0*F_385(x, k_0))
Eq(F_385(x, k_0), (k_0*F_386(x, k_0) - F_386(x, 1))/(k_0 - 1))
Eq(F_386(x, k_0), F_387(x, k_0))
Eq(F_387(x, k_0), F_30(x)*F_33(x)*F_371(x, k_0))
Eq(F_388(x, k_0), F_367(x, k_0)*F_389(x, k_0))
Eq(F_389(x, k_0), F_373(x, k_0) + F_85(x))
Eq(F_390(x, k_0), F_351(x) + F_391(x, k_0))
Eq(F_391(x, k_0), F_30(x)*F_367(x, k_0))
Eq(F_392(x), F_30(x)*F_393(x))
Eq(F_393(x), F_370(x, 1))
Eq(F_394(x), F_395(x))
Eq(F_395(x), F_396(x))
Eq(F_396(x), F_33(x)*F_397(x))
Eq(F_397(x), F_398(x) + F_401(x))
Eq(F_398(x), F_399(x)*F_96(x))
Eq(F_399(x), F_400(x))
Eq(F_400(x), F_211(x)*F_33(x))
Eq(F_401(x), F_173(x)*F_402(x))
Eq(F_402(x), F_403(x))
Eq(F_403(x), F_225(x)*F_33(x))
Eq(F_404(x), F_230(x))
Eq(F_405(x), F_406(x))
Eq(F_406(x), F_33(x)*F_407(x)*F_96(x))
Eq(F_407(x), F_23(x) + F_25(x))
Eq(F_408(x), F_409(x) + F_411(x))
Eq(F_409(x), F_146(x) + F_410(x))
Eq(F_410(x), F_297(x)*F_60(x))
Eq(F_411(x), F_25(x)*F_301(x))
Eq(F_412(x), F_139(x) + F_413(x))
Eq(F_413(x), F_143(x) - F_97(x))
Eq(F_414(x), F_415(x))
Eq(F_415(x), F_30(x)*F_301(x))
Eq(F_416(x), F_417(x) + F_418(x))
Eq(F_417(x), F_120(x) + F_125(x))
Eq(F_418(x), F_120(x)*F_31(x))
Eq(F_419(x), F_12(x) + F_316(x))
Eq(F_420(x), F_421(x))
Eq(F_421(x), F_33(x)*F_422(x))
Eq(F_422(x), F_423(x) + F_428(x))
Eq(F_423(x), F_424(x))
Eq(F_424(x), F_33(x)*F_425(x)*F_427(x))
Eq(F_425(x), F_217(x) + F_426(x))
Eq(F_426(x), F_213(x) + F_27(x))
Eq(F_427(x), F_2(x) + F_95(x))
Eq(F_428(x), F_429(x))
Eq(F_429(x), F_301(x)*F_33(x)*F_425(x))
Eq(F_430(x), F_431(x) + F_432(x))
Eq(F_431(x), F_23(x)*F_96(x))
Eq(F_432(x), -F_332(x) + F_433(x))
Eq(F_433(x), F_434(x)/F_33(x))
Eq(F_434(x), F_64(x))
Eq(F_435(x), F_171(x) - F_240(x))
Eq(F_436(x), F_437(x))
Eq(F_437(x), F_33(x)*F_402(x)*F_438(x))
Eq(F_438(x), F_213(x) + F_41(x))
Eq(F_439(x), F_214(x)*F_30(x))
Eq(F_440(x), F_441(x))
Eq(F_441(x), F_33(x)*F_442(x))
Eq(F_442(x), F_443(x) + F_445(x))
Eq(F_443(x), F_225(x)*F_444(x))
Eq(F_444(x), F_120(x) + F_324(x))
Eq(F_445(x), F_205(x)*F_446(x))
Eq(F_446(x), F_316(x) + F_447(x))
Eq(F_447(x), F_448(x))
Eq(F_448(x), F_30(x)*F_33(x)*F_446(x))
Eq(F_449(x), -F_329(x) + F_450(x))
Eq(F_450(x), F_451(x) - F_457(x))
Eq(F_451(x), F_452(x)/F_33(x))
Eq(F_452(x), F_453(x))
Eq(F_453(x), F_454(x) - F_455(x))
Eq(F_454(x), F_242(x) + F_246(x))
Eq(F_455(x), F_247(x) + F_456(x))
Eq(F_456(x), F_0(x)*F_2(x))
Eq(F_457(x), F_458(x))
Eq(F_458(x), F_102(x)*F_40(x))
Eq(F_459(x), F_460(x))
Eq(F_460(x), F_33(x)*F_461(x)*F_462(x))
Eq(F_461(x), F_218(x) + F_59(x))
Eq(F_462(x), F_463(x)/F_33(x))
Eq(F_463(x), F_301(x))
Eq(F_464(x), F_118(x)*F_270(x))
Eq(F_465(x), F_30(x)*F_79(x))
Eq(F_466(x), F_467(x) + F_468(x))
Eq(F_467(x), F_236(x)*F_30(x))
Eq(F_468(x), F_469(x) + F_470(x))
Eq(F_469(x), F_322(x)*F_41(x))
Eq(F_470(x), F_324(x)*F_351(x))
Eq(F_471(x), F_272(x) + F_31(x))
Eq(F_472(x), F_473(x))
Eq(F_473(x), F_33(x)*F_474(x))
Eq(F_474(x), F_320(x) + F_475(x))
Eq(F_475(x), F_205(x)*F_300(x))
Pack JSON:
{"name": "point_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries", "initial_strats": [{"class_module": "tilings.strategies.rearrange_assumption", "strategy_class": "RearrangeAssumptionFactory"}, {"class_module": "tilings.strategies.assumption_insertion", "strategy_class": "AddAssumptionFactory"}, {"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}, {"class_module": "tilings.strategies.fusion.component", "strategy_class": "ComponentFusionFactory", "tracked": true, "isolation_level": null}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.detect_components", "strategy_class": "DetectComponentsStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": true, "workable": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 4, 1, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 4, 1, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "ComponentVerificationStrategy", "ignore_parent": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 4, 1, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2]]}], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], "requirements": [], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementInsertionStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}]}}, "idx": 1}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}], "requirements": [], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementInsertionStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}]}}, "idx": 1}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 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