02314_02341_02431_20314_20341_20431_23014_23041
Counting sequence:
1, 1, 2, 6, 24, 112, 562, 2912, 15294, 80761, 427340, 2262979, 11987902, 63522358, 336699162, 1785286717, 9469718786, 50249706295, 266743702007, 1416481012326, 7524401182415, 39982038829156, 212508647663726, 1129780857933446, 6007666468509358, 31952179977760853, 169968493773370690, 904275705090229140, 4811606225768966512, 25605265244586902858, 136273846110786448587, 725328219082489787182, 3860920949535911697247, 20553109758458455977107, 109418558632671251231304, 582543294681306094937079, 3101605272520598802699223, 16514430521877832887544805, 87934110799887066359642995, 468237331331677321652345254, 2493377194601747790511818330, 13277668035123197349882042708, 70707626333683949403473898144, 376547902782260485120045152215, 2005315684824528200883086391522, 10679549671673536711783367961294, 56876128437655077586089469408744, 302909796546203112536838059188648, 1613251967674866326570809813357382, 8592036813633693922401856056873928, 45760904992603185962688382642938521, 243723378760627331133756286579492096, 1298086075046521051624528429976067225, 6913741759730111564205849830317864725, 36823567460575217125745000468001451221, 196128779461121262074927643403747131407, 1044622298570512841490386943515378604881, 5563902722399754816158690645506288356398, 29634788062807127045526340196684039283893, 157843243227955412098968449811666693130760, 840720948120242300222286958906157881296118, 4477950524359368540505641576730931295630157, 23851084062111879934353643818827014636866492, 127039343147834799088546831822479365017956455, 676658476359861799462235029994706831645330279, 3604141892818786275854698216496951564347636003, 19197081472847639117069740373433385689950776514, 102251437913995640373094968116054194775279778344, 544633625724927181735206615753341904122410234444, 2900949839930390575172663863801266537798295832832, 15451714145215702052990859827090283125036400925433, 82302633158857184189648556605486544249908590454756, 438380635099952825029907302224866882235103108791976, 2335014120955653970110236849365350658320486227345132, 12437358008631591933088917676451936793126010334409601, 66247149275311487857694499066155687288375249012842859, 352863430283185071488447385555778369695875966135501670, 1879517932624178271658676537428313940991657795059236226, 10011211355603170652906995782875907968249130838495743054, 53324537037475545867196432672526144863406804306836453555, 284032370527897286386315940129973603772360681341127970764, 1512895188104153315907768031143419391306446976016413926839, 8058423396220807353231394994829191230030864423498458229906, 42923145439009410583975888498094298473816403832905641812765, 228629990302546483173320347150667169105032379063689510101040, 1217797392334201500507860482288216585553656416442476247601978, 6486598996196112619959946480906067876840664305946615210444333, 34550888224703333221373367548630636384407662218868383962763413, 184035466098236071559256017660071702038716303707985171965916853, 980266058747903382399213074410213304462974943932207684028376974, 5221394732888844758421361264908137142641795124834780746591070105, 27811806494534383674747483844343164642481308885514991656974572529, 148139874960449465970496435453230678617093231717143045517506187435, 789068747528034443331474093747924901794619287126971086964663572027, 4202984597953931488664103912613279657812493907563600894556357027771, 22387254392227538635901586254710558468026574846400359512853440323601, 119246033999170472458394193717346535005584024400658117075236311140485, 635165822437213571521242236953112187321436996506737311125961404514251, 3383220947610842035079799818858273380232463938873856208267928820308469, 18020783072992795544606088568546699960754984348095839753633415062270153, 95988014791621657663178673953951512989627655658981750520266621285509430
Specification 1
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/24580/
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[22,x]*F[4,x]
F[4,x] = F[5,x]+F[6,x]
F[5,x] = -1+(x^2-2*x)*F[5,x]^2+(2+x)*F[5,x]
F[6,x] = F[2,x]+F[7,x]
F[7,x] = F[8,x]
F[8,x] = F[22,x]*F[9,x]
F[9,x] = F[10,x]+F[383,x]
F[10,x] = F[11,x]+F[305,x]
F[11,x] = F[12,x]+F[2,x]
F[12,x] = F[13,x]
F[13,x] = F[14,x]*F[22,x]
F[14,x] = F[15,x]+F[27,x]
F[15,x] = F[16,x]*F[2,x]
F[16,x] = 1/F[26,x]*F[17,x]
F[17,x] = -F[23,x]+F[18,x]
F[18,x] = 1/F[22,x]*F[19,x]
F[19,x] = F[20,x]
F[20,x] = F[21,x]+F[7,x]
F[21,x] = (x*F[21,x]+x-2*F[21,x])*(x*F[21,x]+x-1)
F[22,x] = x
F[23,x] = -F[24,x]+F[9,x]
F[24,x] = F[16,x]*F[25,x]
F[25,x] = (x^2+4*x-1)*F[25,x]^2+(4*x^2-5*x+2)*F[25,x]+4*x^2-x
F[26,x] = -2+x^2+8*x+F[26,x]^2*(x^2+4*x-1)+(2*x^2-13*x+4)*F[26,x]
F[27,x] = F[28,x]
F[28,x] = F[22,x]*F[29,x]
F[29,x] = F[30,x]+F[56,x]
F[30,x] = F[31,x]+F[54,x]
F[31,x] = 1/F[22,x]*F[32,x]
F[32,x] = F[33,x]
F[33,x] = F[34,x]
F[34,x] = F[22,x]*F[35,x]
F[35,x] = F[36,x]+F[51,x]
F[36,x] = F[37,x]+F[46,x]
F[37,x] = F[38,x]+F[5,x]
F[38,x] = F[39,x]
F[39,x] = F[22,x]*F[37,x]*F[40,x]
F[40,x] = F[41,x]+F[44,x]
F[41,x] = F[1,x]+F[42,x]
F[42,x] = F[43,x]
F[43,x] = F[22,x]*F[41,x]
F[44,x] = F[45,x]
F[45,x] = F[40,x]^2*F[22,x]
F[46,x] = F[47,x]+F[6,x]
F[47,x] = F[48,x]
F[48,x] = F[2,x]*F[22,x]*F[41,x]*F[49,x]
F[49,x] = 1/F[22,x]/F[41,x]*F[50,x]
F[50,x] = F[38,x]
F[51,x] = -F[46,x]+F[52,x]
F[52,x] = 1/F[22,x]*F[53,x]
F[53,x] = F[7,x]
F[54,x] = F[55,x]
F[55,x] = F[22,x]*F[29,x]
F[56,x] = F[57,x]
F[57,x] = F[0,x]*F[58,x]*F[59,x]
F[58,x] = -F[5,x]+F[16,x]
F[59,x] = 1/F[0,x]/F[22,x]/F[5,x]*F[60,x]
F[60,x] = F[61,x]
F[61,x] = -F[4,x]+F[62,x]
F[62,x] = -F[267,x]+F[63,x]
F[63,x] = F[130,x]+F[64,x]
F[64,x] = F[126,x]+F[65,x]
F[65,x] = F[26,x]+F[66,x]
F[66,x] = F[67,x]
F[67,x] = F[22,x]*F[68,x]
F[68,x] = 1/F[22,x]*F[69,x]
F[69,x] = F[70,x]
F[70,x] = -F[26,x]+F[71,x]
F[71,x] = F[72,x]+F[85,x]
F[72,x] = F[1,x]+F[73,x]
F[73,x] = F[74,x]
F[74,x] = F[22,x]*F[75,x]
F[75,x] = F[76,x]+F[77,x]
F[76,x] = F[1,x]+F[22,x]
F[77,x] = F[73,x]+F[78,x]
F[78,x] = F[79,x]+F[80,x]+F[84,x]
F[79,x] = 0
F[80,x] = F[22,x]*F[81,x]
F[81,x] = F[82,x]+F[83,x]
F[82,x] = F[22,x]
F[83,x] = F[78,x]
F[84,x] = F[22,x]*F[73,x]
F[85,x] = F[86,x]
F[86,x] = F[22,x]*F[87,x]
F[87,x] = 1/F[22,x]*F[88,x]
F[88,x] = F[89,x]
F[89,x] = -F[72,x]+F[90,x]
F[90,x] = 1/F[125,x]*F[91,x]
F[91,x] = -F[113,x]+F[92,x]
F[92,x] = 1/F[22,x]*F[93,x]
F[93,x] = F[94,x]
F[94,x] = F[95,x]+F[96,x]
F[95,x] = F[25,x]*F[5,x]
F[96,x] = F[97,x]
F[97,x] = F[22,x]*F[98,x]
F[98,x] = F[100,x]+F[99,x]
F[99,x] = F[38,x]*F[71,x]
F[100,x] = F[101,x]
F[101,x] = F[102,x]*F[22,x]*F[40,x]
F[102,x] = 1/F[22,x]*F[103,x]
F[103,x] = F[104,x]
F[104,x] = F[105,x]+F[106,x]
F[105,x] = F[25,x]*F[49,x]
F[106,x] = F[107,x]*F[110,x]
F[107,x] = -F[104,x]+F[108,x]
F[108,x] = 1/F[22,x]/F[41,x]*F[109,x]
F[109,x] = F[96,x]
F[110,x] = F[111,x]
F[111,x] = F[112,x]^2*F[22,x]
F[112,x] = F[1,x]+F[110,x]
F[113,x] = -F[116,x]+F[114,x]
F[114,x] = 1/F[22,x]*F[115,x]
F[115,x] = F[96,x]
F[116,x] = F[117,x]*F[90,x]
F[117,x] = F[118,x]
F[118,x] = F[119,x]*F[22,x]*F[5,x]
F[119,x] = F[120,x]+F[41,x]
F[120,x] = F[121,x]+F[42,x]
F[121,x] = F[122,x]+F[124,x]+F[79,x]
F[122,x] = F[123,x]*F[22,x]
F[123,x] = F[121,x]+F[42,x]
F[124,x] = F[120,x]*F[22,x]
F[125,x] = F[117,x]+F[5,x]
F[126,x] = -F[130,x]+F[127,x]
F[127,x] = 1/F[22,x]*F[128,x]
F[128,x] = F[129,x]
F[129,x] = -F[25,x]+F[33,x]
F[130,x] = F[131,x]
F[131,x] = F[132,x]*F[22,x]
F[132,x] = 1/F[22,x]*F[133,x]
F[133,x] = F[134,x]
F[134,x] = F[135,x]+F[33,x]
F[135,x] = F[136,x]
F[136,x] = F[137,x]*F[22,x]
F[137,x] = F[138,x]+F[149,x]
F[138,x] = F[139,x]
F[139,x] = F[140,x]*F[22,x]
F[140,x] = 1/F[22,x]*F[141,x]
F[141,x] = F[142,x]
F[142,x] = -F[145,x]+F[143,x]
F[143,x] = 1/F[22,x]*F[144,x]
F[144,x] = F[7,x]
F[145,x] = F[146,x]
F[146,x] = F[147,x]*F[22,x]
F[147,x] = 1/F[22,x]*F[148,x]
F[148,x] = F[10,x]
F[149,x] = F[150,x]
F[150,x] = F[151,x]*F[22,x]
F[151,x] = F[152,x]+F[166,x]
F[152,x] = 1/F[22,x]*F[153,x]
F[153,x] = F[154,x]
F[154,x] = 1/F[22,x]*F[155,x]
F[155,x] = F[156,x]
F[156,x] = -F[165,x]+F[157,x]
F[157,x] = F[158,x]
F[158,x] = F[159,x]*F[22,x]
F[159,x] = F[160,x]+F[162,x]
F[160,x] = F[161,x]+F[64,x]
F[161,x] = F[157,x]
F[162,x] = F[163,x]*F[58,x]
F[163,x] = 1/F[22,x]/F[41,x]/F[5,x]*F[164,x]
F[164,x] = F[61,x]
F[165,x] = F[12,x]+F[21,x]
F[166,x] = F[167,x]*F[262,x]
F[167,x] = F[168,x]
F[168,x] = F[169,x]*F[22,x]
F[169,x] = 1/F[22,x]*F[170,x]
F[170,x] = F[171,x]
F[171,x] = 1/F[193,x]*F[172,x]
F[172,x] = -F[261,x]+F[173,x]
F[173,x] = 1/F[22,x]*F[174,x]
F[174,x] = F[175,x]
F[175,x] = -F[260,x]+F[176,x]
F[176,x] = F[177,x]
F[177,x] = F[178,x]*F[22,x]
F[178,x] = F[179,x]+F[191,x]
F[179,x] = F[180,x]+F[189,x]
F[180,x] = F[181,x]*F[5,x]
F[181,x] = F[0,x]+F[182,x]
F[182,x] = F[183,x]
F[183,x] = F[184,x]*F[22,x]
F[184,x] = 1/F[22,x]*F[185,x]
F[185,x] = F[186,x]
F[186,x] = -F[0,x]+F[187,x]
F[187,x] = 1/F[22,x]*F[188,x]
F[188,x] = F[2,x]
F[189,x] = F[190,x]
F[190,x] = F[178,x]*F[22,x]*F[40,x]
F[191,x] = F[192,x]
F[192,x] = F[193,x]*F[22,x]*F[239,x]
F[193,x] = 1/F[21,x]*F[194,x]
F[194,x] = -F[237,x]+F[195,x]
F[195,x] = 1/F[22,x]*F[196,x]
F[196,x] = F[197,x]
F[197,x] = F[198,x]*F[22,x]
F[198,x] = F[199,x]+F[231,x]
F[199,x] = F[200,x]+F[229,x]
F[200,x] = F[201,x]*F[5,x]
F[201,x] = F[202,x]
F[202,x] = F[203,x]*F[22,x]
F[203,x] = F[204,x]+F[205,x]
F[204,x] = F[0,x]*F[41,x]
F[205,x] = F[206,x]
F[206,x] = F[119,x]*F[207,x]*F[208,x]*F[22,x]
F[207,x] = F[0,x]+F[201,x]
F[208,x] = F[209,x]+F[72,x]
F[209,x] = F[210,x]+F[42,x]
F[210,x] = F[211,x]+F[213,x]+F[79,x]
F[211,x] = F[212,x]*F[22,x]
F[212,x] = F[210,x]+F[73,x]
F[213,x] = F[214,x]*F[22,x]
F[214,x] = F[215,x]+F[220,x]
F[215,x] = F[216,x]+F[42,x]
F[216,x] = F[217,x]+F[219,x]+F[79,x]
F[217,x] = F[218,x]*F[22,x]
F[218,x] = F[216,x]+F[22,x]
F[219,x] = F[22,x]*F[42,x]
F[220,x] = F[210,x]+F[221,x]
F[221,x] = F[222,x]+F[224,x]+F[228,x]+F[79,x]
F[222,x] = F[22,x]*F[223,x]
F[223,x] = F[221,x]+F[78,x]
F[224,x] = F[22,x]*F[225,x]
F[225,x] = F[226,x]+F[227,x]
F[226,x] = F[216,x]
F[227,x] = F[221,x]
F[228,x] = F[210,x]*F[22,x]
F[229,x] = F[230,x]
F[230,x] = F[198,x]*F[22,x]*F[40,x]
F[231,x] = F[232,x]
F[232,x] = F[22,x]*F[233,x]*F[41,x]
F[233,x] = F[231,x]+F[234,x]
F[234,x] = F[199,x]+F[235,x]
F[235,x] = 1/F[22,x]*F[236,x]
F[236,x] = F[186,x]
F[237,x] = F[238,x]
F[238,x] = F[22,x]*F[233,x]*F[40,x]
F[239,x] = F[240,x]+F[242,x]
F[240,x] = F[241,x]+F[5,x]
F[241,x] = F[171,x]
F[242,x] = 1/F[22,x]*F[243,x]
F[243,x] = F[244,x]
F[244,x] = F[22,x]*F[245,x]*F[248,x]
F[245,x] = F[246,x]+F[5,x]
F[246,x] = F[247,x]
F[247,x] = F[22,x]*F[41,x]*F[49,x]
F[248,x] = F[249,x]
F[249,x] = F[22,x]*F[250,x]
F[250,x] = F[251,x]+F[252,x]
F[251,x] = F[40,x]*F[41,x]
F[252,x] = F[253,x]
F[253,x] = F[22,x]*F[254,x]*F[40,x]
F[254,x] = 1/F[22,x]/F[37,x]*F[255,x]
F[255,x] = F[256,x]
F[256,x] = -F[257,x]+F[169,x]
F[257,x] = F[240,x]+F[258,x]
F[258,x] = F[259,x]
F[259,x] = F[22,x]*F[257,x]*F[40,x]
F[260,x] = F[0,x]*F[21,x]
F[261,x] = F[184,x]*F[21,x]
F[262,x] = F[263,x]+F[265,x]
F[263,x] = 1/F[22,x]/F[5,x]*F[264,x]
F[264,x] = F[61,x]
F[265,x] = F[266,x]
F[266,x] = F[22,x]*F[262,x]*F[40,x]
F[267,x] = F[268,x]+F[273,x]
F[268,x] = -F[4,x]+F[269,x]
F[269,x] = F[270,x]+F[271,x]
F[270,x] = F[0,x]+F[33,x]
F[271,x] = -F[272,x]+F[130,x]
F[272,x] = F[156,x]
F[273,x] = F[274,x]
F[274,x] = F[22,x]*F[275,x]
F[275,x] = F[276,x]+F[284,x]
F[276,x] = F[277,x]
F[277,x] = F[22,x]*F[278,x]*F[41,x]
F[278,x] = F[279,x]+F[63,x]
F[279,x] = F[280,x]
F[280,x] = F[22,x]*F[281,x]
F[281,x] = F[278,x]+F[282,x]
F[282,x] = F[283,x]
F[283,x] = F[163,x]*F[41,x]*F[58,x]
F[284,x] = F[285,x]
F[285,x] = F[22,x]*F[286,x]
F[286,x] = F[287,x]+F[304,x]
F[287,x] = F[288,x]*F[41,x]
F[288,x] = -F[298,x]+F[289,x]
F[289,x] = 1/F[22,x]*F[290,x]
F[290,x] = F[291,x]
F[291,x] = -F[294,x]+F[292,x]
F[292,x] = 1/F[22,x]*F[293,x]
F[293,x] = F[135,x]
F[294,x] = F[295,x]
F[295,x] = F[22,x]*F[296,x]
F[296,x] = 1/F[22,x]*F[297,x]
F[297,x] = F[268,x]
F[298,x] = F[299,x]*F[301,x]
F[299,x] = F[300,x]
F[300,x] = F[22,x]*F[240,x]
F[301,x] = 1/F[22,x]/F[5,x]*F[302,x]
F[302,x] = F[303,x]
F[303,x] = F[22,x]*F[263,x]*F[49,x]
F[304,x] = F[218,x]*F[301,x]*F[5,x]
F[305,x] = F[306,x]
F[306,x] = F[22,x]*F[307,x]
F[307,x] = F[308,x]+F[347,x]
F[308,x] = F[309,x]+F[339,x]
F[309,x] = -F[331,x]+F[310,x]
F[310,x] = F[17,x]+F[311,x]
F[311,x] = F[312,x]
F[312,x] = F[16,x]*F[22,x]*F[313,x]
F[313,x] = F[314,x]+F[318,x]
F[314,x] = F[315,x]
F[315,x] = 1/F[22,x]*F[316,x]
F[316,x] = F[317,x]
F[317,x] = -F[26,x]+F[65,x]
F[318,x] = -F[330,x]+F[319,x]
F[319,x] = 1/F[22,x]*F[320,x]
F[320,x] = F[321,x]
F[321,x] = -F[329,x]+F[322,x]
F[322,x] = F[323,x]+F[324,x]
F[323,x] = -F[112,x]+F[37,x]
F[324,x] = -F[325,x]+F[94,x]
F[325,x] = -F[112,x]+F[326,x]
F[326,x] = F[26,x]+F[327,x]
F[327,x] = F[328,x]
F[328,x] = F[22,x]*F[315,x]
F[329,x] = F[21,x]*F[26,x]
F[330,x] = F[21,x]*F[313,x]
F[331,x] = 1/F[22,x]/F[333,x]*F[332,x]
F[332,x] = F[311,x]
F[333,x] = F[334,x]+F[335,x]
F[334,x] = F[26,x]*F[40,x]
F[335,x] = -F[338,x]+F[336,x]
F[336,x] = 1/F[22,x]/F[37,x]*F[337,x]
F[337,x] = F[96,x]
F[338,x] = F[25,x]*F[40,x]
F[339,x] = F[21,x]*F[340,x]
F[340,x] = -F[343,x]+F[341,x]
F[341,x] = 1/F[22,x]/F[5,x]*F[342,x]
F[342,x] = F[96,x]
F[343,x] = F[344,x]
F[344,x] = F[22,x]*F[345,x]
F[345,x] = 1/F[125,x]/F[22,x]*F[346,x]
F[346,x] = F[113,x]
F[347,x] = F[348,x]+F[350,x]
F[348,x] = -F[310,x]+F[349,x]
F[349,x] = F[154,x]+F[35,x]
F[350,x] = F[351,x]
F[351,x] = -F[339,x]+F[352,x]
F[352,x] = F[353,x]+F[354,x]
F[353,x] = F[2,x]*F[21,x]*F[40,x]
F[354,x] = -F[363,x]+F[355,x]
F[355,x] = 1/F[22,x]*F[356,x]
F[356,x] = F[357,x]
F[357,x] = -F[362,x]+F[358,x]
F[358,x] = -F[359,x]+F[130,x]
F[359,x] = F[20,x]+F[360,x]
F[360,x] = F[361,x]
F[361,x] = F[0,x]*F[21,x]*F[22,x]*F[59,x]
F[362,x] = -F[33,x]+F[268,x]
F[363,x] = F[0,x]*F[21,x]*F[364,x]
F[364,x] = 1/F[0,x]/F[5,x]*F[365,x]
F[365,x] = -F[368,x]+F[366,x]
F[366,x] = 1/F[22,x]*F[367,x]
F[367,x] = F[273,x]
F[368,x] = -F[372,x]+F[369,x]
F[369,x] = 1/F[22,x]*F[370,x]
F[370,x] = F[371,x]
F[371,x] = -F[268,x]+F[51,x]
F[372,x] = F[373,x]
F[373,x] = F[0,x]*F[22,x]*F[374,x]*F[5,x]
F[374,x] = 1/F[125,x]/F[22,x]*F[375,x]
F[375,x] = F[376,x]
F[376,x] = 1/F[0,x]*F[377,x]
F[377,x] = F[378,x]
F[378,x] = -F[381,x]+F[379,x]
F[379,x] = 1/F[22,x]*F[380,x]
F[380,x] = F[371,x]
F[381,x] = F[382,x]
F[382,x] = F[119,x]*F[22,x]*F[30,x]
F[383,x] = F[268,x]+F[384,x]
F[384,x] = F[385,x]
F[385,x] = F[22,x]*F[386,x]
F[386,x] = F[387,x]
F[387,x] = F[163,x]*F[22,x]*F[250,x]*F[37,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_{22}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{5}\! \left(x \right)+F_{6}\! \left(x \right)
F_{5}\! \left(x \right) = x^{2} F_{5} \left(x \right)^{2}-2 x F_{5} \left(x \right)^{2}+F_{5}\! \left(x \right) x +2 F_{5}\! \left(x \right)-1
F_{6}\! \left(x \right) = F_{2}\! \left(x \right)+F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{22}\! \left(x \right) F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{383}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{305}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{2}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right) F_{22}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)+F_{27}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right) F_{2}\! \left(x \right)
F_{16}\! \left(x \right) = \frac{F_{17}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{17}\! \left(x \right) = -F_{23}\! \left(x \right)+F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = \frac{F_{19}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)+F_{7}\! \left(x \right)
F_{21}\! \left(x \right) = x^{2} F_{21} \left(x \right)^{2}+2 x^{2} F_{21}\! \left(x \right)-2 x F_{21} \left(x \right)^{2}+x^{2}-3 x F_{21}\! \left(x \right)-x +2 F_{21}\! \left(x \right)
F_{22}\! \left(x \right) = x
F_{23}\! \left(x \right) = -F_{24}\! \left(x \right)+F_{9}\! \left(x \right)
F_{24}\! \left(x \right) = F_{16}\! \left(x \right) F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = x^{2} F_{25} \left(x \right)^{2}+4 x^{2} F_{25}\! \left(x \right)+4 x F_{25} \left(x \right)^{2}+4 x^{2}-5 x F_{25}\! \left(x \right)-F_{25} \left(x \right)^{2}-x +2 F_{25}\! \left(x \right)
F_{26}\! \left(x \right) = x^{2} F_{26} \left(x \right)^{2}+2 x^{2} F_{26}\! \left(x \right)+4 x F_{26} \left(x \right)^{2}+x^{2}-13 x F_{26}\! \left(x \right)-F_{26} \left(x \right)^{2}+8 x +4 F_{26}\! \left(x \right)-2
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{22}\! \left(x \right) F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)+F_{56}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)+F_{54}\! \left(x \right)
F_{31}\! \left(x \right) = \frac{F_{32}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{22}\! \left(x \right) F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)+F_{51}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)+F_{46}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)+F_{5}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{22}\! \left(x \right) F_{37}\! \left(x \right) F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)+F_{44}\! \left(x \right)
F_{41}\! \left(x \right) = F_{1}\! \left(x \right)+F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{22}\! \left(x \right) F_{41}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{40} \left(x \right)^{2} F_{22}\! \left(x \right)
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)+F_{6}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{2}\! \left(x \right) F_{22}\! \left(x \right) F_{41}\! \left(x \right) F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = \frac{F_{50}\! \left(x \right)}{F_{22}\! \left(x \right) F_{41}\! \left(x \right)}
F_{50}\! \left(x \right) = F_{38}\! \left(x \right)
F_{51}\! \left(x \right) = -F_{46}\! \left(x \right)+F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = \frac{F_{53}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{53}\! \left(x \right) = F_{7}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{22}\! \left(x \right) F_{29}\! \left(x \right)
F_{56}\! \left(x \right) = F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{0}\! \left(x \right) F_{58}\! \left(x \right) F_{59}\! \left(x \right)
F_{58}\! \left(x \right) = -F_{5}\! \left(x \right)+F_{16}\! \left(x \right)
F_{59}\! \left(x \right) = \frac{F_{60}\! \left(x \right)}{F_{0}\! \left(x \right) F_{22}\! \left(x \right) F_{5}\! \left(x \right)}
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = -F_{4}\! \left(x \right)+F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = -F_{267}\! \left(x \right)+F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{130}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{126}\! \left(x \right)+F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{26}\! \left(x \right)+F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{22}\! \left(x \right) F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = \frac{F_{69}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = -F_{26}\! \left(x \right)+F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{72}\! \left(x \right)+F_{85}\! \left(x \right)
F_{72}\! \left(x \right) = F_{1}\! \left(x \right)+F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{22}\! \left(x \right) F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)+F_{77}\! \left(x \right)
F_{76}\! \left(x \right) = F_{1}\! \left(x \right)+F_{22}\! \left(x \right)
F_{77}\! \left(x \right) = F_{73}\! \left(x \right)+F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)+F_{80}\! \left(x \right)+F_{84}\! \left(x \right)
F_{79}\! \left(x \right) = 0
F_{80}\! \left(x \right) = F_{22}\! \left(x \right) F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)+F_{83}\! \left(x \right)
F_{82}\! \left(x \right) = F_{22}\! \left(x \right)
F_{83}\! \left(x \right) = F_{78}\! \left(x \right)
F_{84}\! \left(x \right) = F_{22}\! \left(x \right) F_{73}\! \left(x \right)
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{22}\! \left(x \right) F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = \frac{F_{88}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{88}\! \left(x \right) = F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = -F_{72}\! \left(x \right)+F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = \frac{F_{91}\! \left(x \right)}{F_{125}\! \left(x \right)}
F_{91}\! \left(x \right) = -F_{113}\! \left(x \right)+F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = \frac{F_{93}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{93}\! \left(x \right) = F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{95}\! \left(x \right)+F_{96}\! \left(x \right)
F_{95}\! \left(x \right) = F_{25}\! \left(x \right) F_{5}\! \left(x \right)
F_{96}\! \left(x \right) = F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{22}\! \left(x \right) F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{100}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{38}\! \left(x \right) F_{71}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right) F_{22}\! \left(x \right) F_{40}\! \left(x \right)
F_{102}\! \left(x \right) = \frac{F_{103}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)+F_{106}\! \left(x \right)
F_{105}\! \left(x \right) = F_{25}\! \left(x \right) F_{49}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right) F_{110}\! \left(x \right)
F_{107}\! \left(x \right) = -F_{104}\! \left(x \right)+F_{108}\! \left(x \right)
F_{108}\! \left(x \right) = \frac{F_{109}\! \left(x \right)}{F_{22}\! \left(x \right) F_{41}\! \left(x \right)}
F_{109}\! \left(x \right) = F_{96}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112} \left(x \right)^{2} F_{22}\! \left(x \right)
F_{112}\! \left(x \right) = F_{1}\! \left(x \right)+F_{110}\! \left(x \right)
F_{113}\! \left(x \right) = -F_{116}\! \left(x \right)+F_{114}\! \left(x \right)
F_{114}\! \left(x \right) = \frac{F_{115}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{115}\! \left(x \right) = F_{96}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right) F_{90}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right) F_{22}\! \left(x \right) F_{5}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)+F_{41}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right)+F_{42}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)+F_{124}\! \left(x \right)+F_{79}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right) F_{22}\! \left(x \right)
F_{123}\! \left(x \right) = F_{121}\! \left(x \right)+F_{42}\! \left(x \right)
F_{124}\! \left(x \right) = F_{120}\! \left(x \right) F_{22}\! \left(x \right)
F_{125}\! \left(x \right) = F_{117}\! \left(x \right)+F_{5}\! \left(x \right)
F_{126}\! \left(x \right) = -F_{130}\! \left(x \right)+F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = \frac{F_{128}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)
F_{129}\! \left(x \right) = -F_{25}\! \left(x \right)+F_{33}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right) F_{22}\! \left(x \right)
F_{132}\! \left(x \right) = \frac{F_{133}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{133}\! \left(x \right) = F_{134}\! \left(x \right)
F_{134}\! \left(x \right) = F_{135}\! \left(x \right)+F_{33}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right) F_{22}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)+F_{149}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right) F_{22}\! \left(x \right)
F_{140}\! \left(x \right) = \frac{F_{141}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)
F_{142}\! \left(x \right) = -F_{145}\! \left(x \right)+F_{143}\! \left(x \right)
F_{143}\! \left(x \right) = \frac{F_{144}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{144}\! \left(x \right) = F_{7}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right) F_{22}\! \left(x \right)
F_{147}\! \left(x \right) = \frac{F_{148}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{148}\! \left(x \right) = F_{10}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right) F_{22}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right)+F_{166}\! \left(x \right)
F_{152}\! \left(x \right) = \frac{F_{153}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{153}\! \left(x \right) = F_{154}\! \left(x \right)
F_{154}\! \left(x \right) = \frac{F_{155}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{155}\! \left(x \right) = F_{156}\! \left(x \right)
F_{156}\! \left(x \right) = -F_{165}\! \left(x \right)+F_{157}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right) F_{22}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right)+F_{162}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right)+F_{64}\! \left(x \right)
F_{161}\! \left(x \right) = F_{157}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right) F_{58}\! \left(x \right)
F_{163}\! \left(x \right) = \frac{F_{164}\! \left(x \right)}{F_{22}\! \left(x \right) F_{41}\! \left(x \right) F_{5}\! \left(x \right)}
F_{164}\! \left(x \right) = F_{61}\! \left(x \right)
F_{165}\! \left(x \right) = F_{12}\! \left(x \right)+F_{21}\! \left(x \right)
F_{166}\! \left(x \right) = F_{167}\! \left(x \right) F_{262}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right) F_{22}\! \left(x \right)
F_{169}\! \left(x \right) = \frac{F_{170}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{170}\! \left(x \right) = F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = \frac{F_{172}\! \left(x \right)}{F_{193}\! \left(x \right)}
F_{172}\! \left(x \right) = -F_{261}\! \left(x \right)+F_{173}\! \left(x \right)
F_{173}\! \left(x \right) = \frac{F_{174}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{174}\! \left(x \right) = F_{175}\! \left(x \right)
F_{175}\! \left(x \right) = -F_{260}\! \left(x \right)+F_{176}\! \left(x \right)
F_{176}\! \left(x \right) = F_{177}\! \left(x \right)
F_{177}\! \left(x \right) = F_{178}\! \left(x \right) F_{22}\! \left(x \right)
F_{178}\! \left(x \right) = F_{179}\! \left(x \right)+F_{191}\! \left(x \right)
F_{179}\! \left(x \right) = F_{180}\! \left(x \right)+F_{189}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right) F_{5}\! \left(x \right)
F_{181}\! \left(x \right) = F_{0}\! \left(x \right)+F_{182}\! \left(x \right)
F_{182}\! \left(x \right) = F_{183}\! \left(x \right)
F_{183}\! \left(x \right) = F_{184}\! \left(x \right) F_{22}\! \left(x \right)
F_{184}\! \left(x \right) = \frac{F_{185}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{185}\! \left(x \right) = F_{186}\! \left(x \right)
F_{186}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{187}\! \left(x \right)
F_{187}\! \left(x \right) = \frac{F_{188}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{188}\! \left(x \right) = F_{2}\! \left(x \right)
F_{189}\! \left(x \right) = F_{190}\! \left(x \right)
F_{190}\! \left(x \right) = F_{178}\! \left(x \right) F_{22}\! \left(x \right) F_{40}\! \left(x \right)
F_{191}\! \left(x \right) = F_{192}\! \left(x \right)
F_{192}\! \left(x \right) = F_{193}\! \left(x \right) F_{22}\! \left(x \right) F_{239}\! \left(x \right)
F_{193}\! \left(x \right) = \frac{F_{194}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{194}\! \left(x \right) = -F_{237}\! \left(x \right)+F_{195}\! \left(x \right)
F_{195}\! \left(x \right) = \frac{F_{196}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{196}\! \left(x \right) = F_{197}\! \left(x \right)
F_{197}\! \left(x \right) = F_{198}\! \left(x \right) F_{22}\! \left(x \right)
F_{198}\! \left(x \right) = F_{199}\! \left(x \right)+F_{231}\! \left(x \right)
F_{199}\! \left(x \right) = F_{200}\! \left(x \right)+F_{229}\! \left(x \right)
F_{200}\! \left(x \right) = F_{201}\! \left(x \right) F_{5}\! \left(x \right)
F_{201}\! \left(x \right) = F_{202}\! \left(x \right)
F_{202}\! \left(x \right) = F_{203}\! \left(x \right) F_{22}\! \left(x \right)
F_{203}\! \left(x \right) = F_{204}\! \left(x \right)+F_{205}\! \left(x \right)
F_{204}\! \left(x \right) = F_{0}\! \left(x \right) F_{41}\! \left(x \right)
F_{205}\! \left(x \right) = F_{206}\! \left(x \right)
F_{206}\! \left(x \right) = F_{119}\! \left(x \right) F_{207}\! \left(x \right) F_{208}\! \left(x \right) F_{22}\! \left(x \right)
F_{207}\! \left(x \right) = F_{0}\! \left(x \right)+F_{201}\! \left(x \right)
F_{208}\! \left(x \right) = F_{209}\! \left(x \right)+F_{72}\! \left(x \right)
F_{209}\! \left(x \right) = F_{210}\! \left(x \right)+F_{42}\! \left(x \right)
F_{210}\! \left(x \right) = F_{211}\! \left(x \right)+F_{213}\! \left(x \right)+F_{79}\! \left(x \right)
F_{211}\! \left(x \right) = F_{212}\! \left(x \right) F_{22}\! \left(x \right)
F_{212}\! \left(x \right) = F_{210}\! \left(x \right)+F_{73}\! \left(x \right)
F_{213}\! \left(x \right) = F_{214}\! \left(x \right) F_{22}\! \left(x \right)
F_{214}\! \left(x \right) = F_{215}\! \left(x \right)+F_{220}\! \left(x \right)
F_{215}\! \left(x \right) = F_{216}\! \left(x \right)+F_{42}\! \left(x \right)
F_{216}\! \left(x \right) = F_{217}\! \left(x \right)+F_{219}\! \left(x \right)+F_{79}\! \left(x \right)
F_{217}\! \left(x \right) = F_{218}\! \left(x \right) F_{22}\! \left(x \right)
F_{218}\! \left(x \right) = F_{216}\! \left(x \right)+F_{22}\! \left(x \right)
F_{219}\! \left(x \right) = F_{22}\! \left(x \right) F_{42}\! \left(x \right)
F_{220}\! \left(x \right) = F_{210}\! \left(x \right)+F_{221}\! \left(x \right)
F_{221}\! \left(x \right) = F_{222}\! \left(x \right)+F_{224}\! \left(x \right)+F_{228}\! \left(x \right)+F_{79}\! \left(x \right)
F_{222}\! \left(x \right) = F_{22}\! \left(x \right) F_{223}\! \left(x \right)
F_{223}\! \left(x \right) = F_{221}\! \left(x \right)+F_{78}\! \left(x \right)
F_{224}\! \left(x \right) = F_{22}\! \left(x \right) F_{225}\! \left(x \right)
F_{225}\! \left(x \right) = F_{226}\! \left(x \right)+F_{227}\! \left(x \right)
F_{226}\! \left(x \right) = F_{216}\! \left(x \right)
F_{227}\! \left(x \right) = F_{221}\! \left(x \right)
F_{228}\! \left(x \right) = F_{210}\! \left(x \right) F_{22}\! \left(x \right)
F_{229}\! \left(x \right) = F_{230}\! \left(x \right)
F_{230}\! \left(x \right) = F_{198}\! \left(x \right) F_{22}\! \left(x \right) F_{40}\! \left(x \right)
F_{231}\! \left(x \right) = F_{232}\! \left(x \right)
F_{232}\! \left(x \right) = F_{22}\! \left(x \right) F_{233}\! \left(x \right) F_{41}\! \left(x \right)
F_{233}\! \left(x \right) = F_{231}\! \left(x \right)+F_{234}\! \left(x \right)
F_{234}\! \left(x \right) = F_{199}\! \left(x \right)+F_{235}\! \left(x \right)
F_{235}\! \left(x \right) = \frac{F_{236}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{236}\! \left(x \right) = F_{186}\! \left(x \right)
F_{237}\! \left(x \right) = F_{238}\! \left(x \right)
F_{238}\! \left(x \right) = F_{22}\! \left(x \right) F_{233}\! \left(x \right) F_{40}\! \left(x \right)
F_{239}\! \left(x \right) = F_{240}\! \left(x \right)+F_{242}\! \left(x \right)
F_{240}\! \left(x \right) = F_{241}\! \left(x \right)+F_{5}\! \left(x \right)
F_{241}\! \left(x \right) = F_{171}\! \left(x \right)
F_{242}\! \left(x \right) = \frac{F_{243}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{243}\! \left(x \right) = F_{244}\! \left(x \right)
F_{244}\! \left(x \right) = F_{22}\! \left(x \right) F_{245}\! \left(x \right) F_{248}\! \left(x \right)
F_{245}\! \left(x \right) = F_{246}\! \left(x \right)+F_{5}\! \left(x \right)
F_{246}\! \left(x \right) = F_{247}\! \left(x \right)
F_{247}\! \left(x \right) = F_{22}\! \left(x \right) F_{41}\! \left(x \right) F_{49}\! \left(x \right)
F_{248}\! \left(x \right) = F_{249}\! \left(x \right)
F_{249}\! \left(x \right) = F_{22}\! \left(x \right) F_{250}\! \left(x \right)
F_{250}\! \left(x \right) = F_{251}\! \left(x \right)+F_{252}\! \left(x \right)
F_{251}\! \left(x \right) = F_{40}\! \left(x \right) F_{41}\! \left(x \right)
F_{252}\! \left(x \right) = F_{253}\! \left(x \right)
F_{253}\! \left(x \right) = F_{22}\! \left(x \right) F_{254}\! \left(x \right) F_{40}\! \left(x \right)
F_{254}\! \left(x \right) = \frac{F_{255}\! \left(x \right)}{F_{22}\! \left(x \right) F_{37}\! \left(x \right)}
F_{255}\! \left(x \right) = F_{256}\! \left(x \right)
F_{256}\! \left(x \right) = -F_{257}\! \left(x \right)+F_{169}\! \left(x \right)
F_{257}\! \left(x \right) = F_{240}\! \left(x \right)+F_{258}\! \left(x \right)
F_{258}\! \left(x \right) = F_{259}\! \left(x \right)
F_{259}\! \left(x \right) = F_{22}\! \left(x \right) F_{257}\! \left(x \right) F_{40}\! \left(x \right)
F_{260}\! \left(x \right) = F_{0}\! \left(x \right) F_{21}\! \left(x \right)
F_{261}\! \left(x \right) = F_{184}\! \left(x \right) F_{21}\! \left(x \right)
F_{262}\! \left(x \right) = F_{263}\! \left(x \right)+F_{265}\! \left(x \right)
F_{263}\! \left(x \right) = \frac{F_{264}\! \left(x \right)}{F_{22}\! \left(x \right) F_{5}\! \left(x \right)}
F_{264}\! \left(x \right) = F_{61}\! \left(x \right)
F_{265}\! \left(x \right) = F_{266}\! \left(x \right)
F_{266}\! \left(x \right) = F_{22}\! \left(x \right) F_{262}\! \left(x \right) F_{40}\! \left(x \right)
F_{267}\! \left(x \right) = F_{268}\! \left(x \right)+F_{273}\! \left(x \right)
F_{268}\! \left(x \right) = -F_{4}\! \left(x \right)+F_{269}\! \left(x \right)
F_{269}\! \left(x \right) = F_{270}\! \left(x \right)+F_{271}\! \left(x \right)
F_{270}\! \left(x \right) = F_{0}\! \left(x \right)+F_{33}\! \left(x \right)
F_{271}\! \left(x \right) = -F_{272}\! \left(x \right)+F_{130}\! \left(x \right)
F_{272}\! \left(x \right) = F_{156}\! \left(x \right)
F_{273}\! \left(x \right) = F_{274}\! \left(x \right)
F_{274}\! \left(x \right) = F_{22}\! \left(x \right) F_{275}\! \left(x \right)
F_{275}\! \left(x \right) = F_{276}\! \left(x \right)+F_{284}\! \left(x \right)
F_{276}\! \left(x \right) = F_{277}\! \left(x \right)
F_{277}\! \left(x \right) = F_{22}\! \left(x \right) F_{278}\! \left(x \right) F_{41}\! \left(x \right)
F_{278}\! \left(x \right) = F_{279}\! \left(x \right)+F_{63}\! \left(x \right)
F_{279}\! \left(x \right) = F_{280}\! \left(x \right)
F_{280}\! \left(x \right) = F_{22}\! \left(x \right) F_{281}\! \left(x \right)
F_{281}\! \left(x \right) = F_{278}\! \left(x \right)+F_{282}\! \left(x \right)
F_{282}\! \left(x \right) = F_{283}\! \left(x \right)
F_{283}\! \left(x \right) = F_{163}\! \left(x \right) F_{41}\! \left(x \right) F_{58}\! \left(x \right)
F_{284}\! \left(x \right) = F_{285}\! \left(x \right)
F_{285}\! \left(x \right) = F_{22}\! \left(x \right) F_{286}\! \left(x \right)
F_{286}\! \left(x \right) = F_{287}\! \left(x \right)+F_{304}\! \left(x \right)
F_{287}\! \left(x \right) = F_{288}\! \left(x \right) F_{41}\! \left(x \right)
F_{288}\! \left(x \right) = -F_{298}\! \left(x \right)+F_{289}\! \left(x \right)
F_{289}\! \left(x \right) = \frac{F_{290}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{290}\! \left(x \right) = F_{291}\! \left(x \right)
F_{291}\! \left(x \right) = -F_{294}\! \left(x \right)+F_{292}\! \left(x \right)
F_{292}\! \left(x \right) = \frac{F_{293}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{293}\! \left(x \right) = F_{135}\! \left(x \right)
F_{294}\! \left(x \right) = F_{295}\! \left(x \right)
F_{295}\! \left(x \right) = F_{22}\! \left(x \right) F_{296}\! \left(x \right)
F_{296}\! \left(x \right) = \frac{F_{297}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{297}\! \left(x \right) = F_{268}\! \left(x \right)
F_{298}\! \left(x \right) = F_{299}\! \left(x \right) F_{301}\! \left(x \right)
F_{299}\! \left(x \right) = F_{300}\! \left(x \right)
F_{300}\! \left(x \right) = F_{22}\! \left(x \right) F_{240}\! \left(x \right)
F_{301}\! \left(x \right) = \frac{F_{302}\! \left(x \right)}{F_{22}\! \left(x \right) F_{5}\! \left(x \right)}
F_{302}\! \left(x \right) = F_{303}\! \left(x \right)
F_{303}\! \left(x \right) = F_{22}\! \left(x \right) F_{263}\! \left(x \right) F_{49}\! \left(x \right)
F_{304}\! \left(x \right) = F_{218}\! \left(x \right) F_{301}\! \left(x \right) F_{5}\! \left(x \right)
F_{305}\! \left(x \right) = F_{306}\! \left(x \right)
F_{306}\! \left(x \right) = F_{22}\! \left(x \right) F_{307}\! \left(x \right)
F_{307}\! \left(x \right) = F_{308}\! \left(x \right)+F_{347}\! \left(x \right)
F_{308}\! \left(x \right) = F_{309}\! \left(x \right)+F_{339}\! \left(x \right)
F_{309}\! \left(x \right) = -F_{331}\! \left(x \right)+F_{310}\! \left(x \right)
F_{310}\! \left(x \right) = F_{17}\! \left(x \right)+F_{311}\! \left(x \right)
F_{311}\! \left(x \right) = F_{312}\! \left(x \right)
F_{312}\! \left(x \right) = F_{16}\! \left(x \right) F_{22}\! \left(x \right) F_{313}\! \left(x \right)
F_{313}\! \left(x \right) = F_{314}\! \left(x \right)+F_{318}\! \left(x \right)
F_{314}\! \left(x \right) = F_{315}\! \left(x \right)
F_{315}\! \left(x \right) = \frac{F_{316}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{316}\! \left(x \right) = F_{317}\! \left(x \right)
F_{317}\! \left(x \right) = -F_{26}\! \left(x \right)+F_{65}\! \left(x \right)
F_{318}\! \left(x \right) = -F_{330}\! \left(x \right)+F_{319}\! \left(x \right)
F_{319}\! \left(x \right) = \frac{F_{320}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{320}\! \left(x \right) = F_{321}\! \left(x \right)
F_{321}\! \left(x \right) = -F_{329}\! \left(x \right)+F_{322}\! \left(x \right)
F_{322}\! \left(x \right) = F_{323}\! \left(x \right)+F_{324}\! \left(x \right)
F_{323}\! \left(x \right) = -F_{112}\! \left(x \right)+F_{37}\! \left(x \right)
F_{324}\! \left(x \right) = -F_{325}\! \left(x \right)+F_{94}\! \left(x \right)
F_{325}\! \left(x \right) = -F_{112}\! \left(x \right)+F_{326}\! \left(x \right)
F_{326}\! \left(x \right) = F_{26}\! \left(x \right)+F_{327}\! \left(x \right)
F_{327}\! \left(x \right) = F_{328}\! \left(x \right)
F_{328}\! \left(x \right) = F_{22}\! \left(x \right) F_{315}\! \left(x \right)
F_{329}\! \left(x \right) = F_{21}\! \left(x \right) F_{26}\! \left(x \right)
F_{330}\! \left(x \right) = F_{21}\! \left(x \right) F_{313}\! \left(x \right)
F_{331}\! \left(x \right) = \frac{F_{332}\! \left(x \right)}{F_{22}\! \left(x \right) F_{333}\! \left(x \right)}
F_{332}\! \left(x \right) = F_{311}\! \left(x \right)
F_{333}\! \left(x \right) = F_{334}\! \left(x \right)+F_{335}\! \left(x \right)
F_{334}\! \left(x \right) = F_{26}\! \left(x \right) F_{40}\! \left(x \right)
F_{335}\! \left(x \right) = -F_{338}\! \left(x \right)+F_{336}\! \left(x \right)
F_{336}\! \left(x \right) = \frac{F_{337}\! \left(x \right)}{F_{22}\! \left(x \right) F_{37}\! \left(x \right)}
F_{337}\! \left(x \right) = F_{96}\! \left(x \right)
F_{338}\! \left(x \right) = F_{25}\! \left(x \right) F_{40}\! \left(x \right)
F_{339}\! \left(x \right) = F_{21}\! \left(x \right) F_{340}\! \left(x \right)
F_{340}\! \left(x \right) = -F_{343}\! \left(x \right)+F_{341}\! \left(x \right)
F_{341}\! \left(x \right) = \frac{F_{342}\! \left(x \right)}{F_{22}\! \left(x \right) F_{5}\! \left(x \right)}
F_{342}\! \left(x \right) = F_{96}\! \left(x \right)
F_{343}\! \left(x \right) = F_{344}\! \left(x \right)
F_{344}\! \left(x \right) = F_{22}\! \left(x \right) F_{345}\! \left(x \right)
F_{345}\! \left(x \right) = \frac{F_{346}\! \left(x \right)}{F_{125}\! \left(x \right) F_{22}\! \left(x \right)}
F_{346}\! \left(x \right) = F_{113}\! \left(x \right)
F_{347}\! \left(x \right) = F_{348}\! \left(x \right)+F_{350}\! \left(x \right)
F_{348}\! \left(x \right) = -F_{310}\! \left(x \right)+F_{349}\! \left(x \right)
F_{349}\! \left(x \right) = F_{154}\! \left(x \right)+F_{35}\! \left(x \right)
F_{350}\! \left(x \right) = F_{351}\! \left(x \right)
F_{351}\! \left(x \right) = -F_{339}\! \left(x \right)+F_{352}\! \left(x \right)
F_{352}\! \left(x \right) = F_{353}\! \left(x \right)+F_{354}\! \left(x \right)
F_{353}\! \left(x \right) = F_{2}\! \left(x \right) F_{21}\! \left(x \right) F_{40}\! \left(x \right)
F_{354}\! \left(x \right) = -F_{363}\! \left(x \right)+F_{355}\! \left(x \right)
F_{355}\! \left(x \right) = \frac{F_{356}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{356}\! \left(x \right) = F_{357}\! \left(x \right)
F_{357}\! \left(x \right) = -F_{362}\! \left(x \right)+F_{358}\! \left(x \right)
F_{358}\! \left(x \right) = -F_{359}\! \left(x \right)+F_{130}\! \left(x \right)
F_{359}\! \left(x \right) = F_{20}\! \left(x \right)+F_{360}\! \left(x \right)
F_{360}\! \left(x \right) = F_{361}\! \left(x \right)
F_{361}\! \left(x \right) = F_{0}\! \left(x \right) F_{21}\! \left(x \right) F_{22}\! \left(x \right) F_{59}\! \left(x \right)
F_{362}\! \left(x \right) = -F_{33}\! \left(x \right)+F_{268}\! \left(x \right)
F_{363}\! \left(x \right) = F_{0}\! \left(x \right) F_{21}\! \left(x \right) F_{364}\! \left(x \right)
F_{364}\! \left(x \right) = \frac{F_{365}\! \left(x \right)}{F_{0}\! \left(x \right) F_{5}\! \left(x \right)}
F_{365}\! \left(x \right) = -F_{368}\! \left(x \right)+F_{366}\! \left(x \right)
F_{366}\! \left(x \right) = \frac{F_{367}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{367}\! \left(x \right) = F_{273}\! \left(x \right)
F_{368}\! \left(x \right) = -F_{372}\! \left(x \right)+F_{369}\! \left(x \right)
F_{369}\! \left(x \right) = \frac{F_{370}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{370}\! \left(x \right) = F_{371}\! \left(x \right)
F_{371}\! \left(x \right) = -F_{268}\! \left(x \right)+F_{51}\! \left(x \right)
F_{372}\! \left(x \right) = F_{373}\! \left(x \right)
F_{373}\! \left(x \right) = F_{0}\! \left(x \right) F_{22}\! \left(x \right) F_{374}\! \left(x \right) F_{5}\! \left(x \right)
F_{374}\! \left(x \right) = \frac{F_{375}\! \left(x \right)}{F_{125}\! \left(x \right) F_{22}\! \left(x \right)}
F_{375}\! \left(x \right) = F_{376}\! \left(x \right)
F_{376}\! \left(x \right) = \frac{F_{377}\! \left(x \right)}{F_{0}\! \left(x \right)}
F_{377}\! \left(x \right) = F_{378}\! \left(x \right)
F_{378}\! \left(x \right) = -F_{381}\! \left(x \right)+F_{379}\! \left(x \right)
F_{379}\! \left(x \right) = \frac{F_{380}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{380}\! \left(x \right) = F_{371}\! \left(x \right)
F_{381}\! \left(x \right) = F_{382}\! \left(x \right)
F_{382}\! \left(x \right) = F_{119}\! \left(x \right) F_{22}\! \left(x \right) F_{30}\! \left(x \right)
F_{383}\! \left(x \right) = F_{268}\! \left(x \right)+F_{384}\! \left(x \right)
F_{384}\! \left(x \right) = F_{385}\! \left(x \right)
F_{385}\! \left(x \right) = F_{22}\! \left(x \right) F_{386}\! \left(x \right)
F_{386}\! \left(x \right) = F_{387}\! \left(x \right)
F_{387}\! \left(x \right) = F_{163}\! \left(x \right) F_{22}\! \left(x \right) F_{250}\! \left(x \right) F_{37}\! \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_22(x)*F_4(x))
Eq(F_4(x), F_5(x) + F_6(x))
Eq(F_5(x), x*(x - 2)*F_5(x)**2 + (x + 2)*F_5(x) - 1)
Eq(F_6(x), F_2(x) + F_7(x))
Eq(F_7(x), F_8(x))
Eq(F_8(x), F_22(x)*F_9(x))
Eq(F_9(x), F_10(x) + F_383(x))
Eq(F_10(x), F_11(x) + F_305(x))
Eq(F_11(x), F_12(x) + F_2(x))
Eq(F_12(x), F_13(x))
Eq(F_13(x), F_14(x)*F_22(x))
Eq(F_14(x), F_15(x) + F_27(x))
Eq(F_15(x), F_16(x)*F_2(x))
Eq(F_16(x), F_17(x)/F_26(x))
Eq(F_17(x), F_18(x) - F_23(x))
Eq(F_18(x), F_19(x)/F_22(x))
Eq(F_19(x), F_20(x))
Eq(F_20(x), F_21(x) + F_7(x))
Eq(F_21(x), x*(x - 2)*(F_21(x) + 1)**2 + (x + 1)*(F_21(x) + 1) + F_21(x) - 1)
Eq(F_22(x), x)
Eq(F_23(x), -F_24(x) + F_9(x))
Eq(F_24(x), F_16(x)*F_25(x))
Eq(F_25(x), x**2 + 8*x + (F_25(x) + 1)**2*(x**2 + 4*x - 1) + (F_25(x) + 1)*(2*x**2 - 13*x + 3) + F_25(x) - 2)
Eq(F_26(x), x**2 + 8*x + (x**2 + 4*x - 1)*F_26(x)**2 + (2*x**2 - 13*x + 4)*F_26(x) - 2)
Eq(F_27(x), F_28(x))
Eq(F_28(x), F_22(x)*F_29(x))
Eq(F_29(x), F_30(x) + F_56(x))
Eq(F_30(x), F_31(x) + F_54(x))
Eq(F_31(x), F_32(x)/F_22(x))
Eq(F_32(x), F_33(x))
Eq(F_33(x), F_34(x))
Eq(F_34(x), F_22(x)*F_35(x))
Eq(F_35(x), F_36(x) + F_51(x))
Eq(F_36(x), F_37(x) + F_46(x))
Eq(F_37(x), F_38(x) + F_5(x))
Eq(F_38(x), F_39(x))
Eq(F_39(x), F_22(x)*F_37(x)*F_40(x))
Eq(F_40(x), F_41(x) + F_44(x))
Eq(F_41(x), F_1(x) + F_42(x))
Eq(F_42(x), F_43(x))
Eq(F_43(x), F_22(x)*F_41(x))
Eq(F_44(x), F_45(x))
Eq(F_45(x), F_22(x)*F_40(x)**2)
Eq(F_46(x), F_47(x) + F_6(x))
Eq(F_47(x), F_48(x))
Eq(F_48(x), F_2(x)*F_22(x)*F_41(x)*F_49(x))
Eq(F_49(x), F_50(x)/(F_22(x)*F_41(x)))
Eq(F_50(x), F_38(x))
Eq(F_51(x), -F_46(x) + F_52(x))
Eq(F_52(x), F_53(x)/F_22(x))
Eq(F_53(x), F_7(x))
Eq(F_54(x), F_55(x))
Eq(F_55(x), F_22(x)*F_29(x))
Eq(F_56(x), F_57(x))
Eq(F_57(x), F_0(x)*F_58(x)*F_59(x))
Eq(F_58(x), F_16(x) - F_5(x))
Eq(F_59(x), F_60(x)/(F_0(x)*F_22(x)*F_5(x)))
Eq(F_60(x), F_61(x))
Eq(F_61(x), -F_4(x) + F_62(x))
Eq(F_62(x), -F_267(x) + F_63(x))
Eq(F_63(x), F_130(x) + F_64(x))
Eq(F_64(x), F_126(x) + F_65(x))
Eq(F_65(x), F_26(x) + F_66(x))
Eq(F_66(x), F_67(x))
Eq(F_67(x), F_22(x)*F_68(x))
Eq(F_68(x), F_69(x)/F_22(x))
Eq(F_69(x), F_70(x))
Eq(F_70(x), -F_26(x) + F_71(x))
Eq(F_71(x), F_72(x) + F_85(x))
Eq(F_72(x), F_1(x) + F_73(x))
Eq(F_73(x), F_74(x))
Eq(F_74(x), F_22(x)*F_75(x))
Eq(F_75(x), F_76(x) + F_77(x))
Eq(F_76(x), F_1(x) + F_22(x))
Eq(F_77(x), F_73(x) + F_78(x))
Eq(F_78(x), F_79(x) + F_80(x) + F_84(x))
Eq(F_79(x), 0)
Eq(F_80(x), F_22(x)*F_81(x))
Eq(F_81(x), F_82(x) + F_83(x))
Eq(F_82(x), F_22(x))
Eq(F_83(x), F_78(x))
Eq(F_84(x), F_22(x)*F_73(x))
Eq(F_85(x), F_86(x))
Eq(F_86(x), F_22(x)*F_87(x))
Eq(F_87(x), F_88(x)/F_22(x))
Eq(F_88(x), F_89(x))
Eq(F_89(x), -F_72(x) + F_90(x))
Eq(F_90(x), F_91(x)/F_125(x))
Eq(F_91(x), -F_113(x) + F_92(x))
Eq(F_92(x), F_93(x)/F_22(x))
Eq(F_93(x), F_94(x))
Eq(F_94(x), F_95(x) + F_96(x))
Eq(F_95(x), F_25(x)*F_5(x))
Eq(F_96(x), F_97(x))
Eq(F_97(x), F_22(x)*F_98(x))
Eq(F_98(x), F_100(x) + F_99(x))
Eq(F_99(x), F_38(x)*F_71(x))
Eq(F_100(x), F_101(x))
Eq(F_101(x), F_102(x)*F_22(x)*F_40(x))
Eq(F_102(x), F_103(x)/F_22(x))
Eq(F_103(x), F_104(x))
Eq(F_104(x), F_105(x) + F_106(x))
Eq(F_105(x), F_25(x)*F_49(x))
Eq(F_106(x), F_107(x)*F_110(x))
Eq(F_107(x), -F_104(x) + F_108(x))
Eq(F_108(x), F_109(x)/(F_22(x)*F_41(x)))
Eq(F_109(x), F_96(x))
Eq(F_110(x), F_111(x))
Eq(F_111(x), F_112(x)**2*F_22(x))
Eq(F_112(x), F_1(x) + F_110(x))
Eq(F_113(x), F_114(x) - F_116(x))
Eq(F_114(x), F_115(x)/F_22(x))
Eq(F_115(x), F_96(x))
Eq(F_116(x), F_117(x)*F_90(x))
Eq(F_117(x), F_118(x))
Eq(F_118(x), F_119(x)*F_22(x)*F_5(x))
Eq(F_119(x), F_120(x) + F_41(x))
Eq(F_120(x), F_121(x) + F_42(x))
Eq(F_121(x), F_122(x) + F_124(x) + F_79(x))
Eq(F_122(x), F_123(x)*F_22(x))
Eq(F_123(x), F_121(x) + F_42(x))
Eq(F_124(x), F_120(x)*F_22(x))
Eq(F_125(x), F_117(x) + F_5(x))
Eq(F_126(x), F_127(x) - F_130(x))
Eq(F_127(x), F_128(x)/F_22(x))
Eq(F_128(x), F_129(x))
Eq(F_129(x), -F_25(x) + F_33(x))
Eq(F_130(x), F_131(x))
Eq(F_131(x), F_132(x)*F_22(x))
Eq(F_132(x), F_133(x)/F_22(x))
Eq(F_133(x), F_134(x))
Eq(F_134(x), F_135(x) + F_33(x))
Eq(F_135(x), F_136(x))
Eq(F_136(x), F_137(x)*F_22(x))
Eq(F_137(x), F_138(x) + F_149(x))
Eq(F_138(x), F_139(x))
Eq(F_139(x), F_140(x)*F_22(x))
Eq(F_140(x), F_141(x)/F_22(x))
Eq(F_141(x), F_142(x))
Eq(F_142(x), F_143(x) - F_145(x))
Eq(F_143(x), F_144(x)/F_22(x))
Eq(F_144(x), F_7(x))
Eq(F_145(x), F_146(x))
Eq(F_146(x), F_147(x)*F_22(x))
Eq(F_147(x), F_148(x)/F_22(x))
Eq(F_148(x), F_10(x))
Eq(F_149(x), F_150(x))
Eq(F_150(x), F_151(x)*F_22(x))
Eq(F_151(x), F_152(x) + F_166(x))
Eq(F_152(x), F_153(x)/F_22(x))
Eq(F_153(x), F_154(x))
Eq(F_154(x), F_155(x)/F_22(x))
Eq(F_155(x), F_156(x))
Eq(F_156(x), F_157(x) - F_165(x))
Eq(F_157(x), F_158(x))
Eq(F_158(x), F_159(x)*F_22(x))
Eq(F_159(x), F_160(x) + F_162(x))
Eq(F_160(x), F_161(x) + F_64(x))
Eq(F_161(x), F_157(x))
Eq(F_162(x), F_163(x)*F_58(x))
Eq(F_163(x), F_164(x)/(F_22(x)*F_41(x)*F_5(x)))
Eq(F_164(x), F_61(x))
Eq(F_165(x), F_12(x) + F_21(x))
Eq(F_166(x), F_167(x)*F_262(x))
Eq(F_167(x), F_168(x))
Eq(F_168(x), F_169(x)*F_22(x))
Eq(F_169(x), F_170(x)/F_22(x))
Eq(F_170(x), F_171(x))
Eq(F_171(x), F_172(x)/F_193(x))
Eq(F_172(x), F_173(x) - F_261(x))
Eq(F_173(x), F_174(x)/F_22(x))
Eq(F_174(x), F_175(x))
Eq(F_175(x), F_176(x) - F_260(x))
Eq(F_176(x), F_177(x))
Eq(F_177(x), F_178(x)*F_22(x))
Eq(F_178(x), F_179(x) + F_191(x))
Eq(F_179(x), F_180(x) + F_189(x))
Eq(F_180(x), F_181(x)*F_5(x))
Eq(F_181(x), F_0(x) + F_182(x))
Eq(F_182(x), F_183(x))
Eq(F_183(x), F_184(x)*F_22(x))
Eq(F_184(x), F_185(x)/F_22(x))
Eq(F_185(x), F_186(x))
Eq(F_186(x), -F_0(x) + F_187(x))
Eq(F_187(x), F_188(x)/F_22(x))
Eq(F_188(x), F_2(x))
Eq(F_189(x), F_190(x))
Eq(F_190(x), F_178(x)*F_22(x)*F_40(x))
Eq(F_191(x), F_192(x))
Eq(F_192(x), F_193(x)*F_22(x)*F_239(x))
Eq(F_193(x), F_194(x)/F_21(x))
Eq(F_194(x), F_195(x) - F_237(x))
Eq(F_195(x), F_196(x)/F_22(x))
Eq(F_196(x), F_197(x))
Eq(F_197(x), F_198(x)*F_22(x))
Eq(F_198(x), F_199(x) + F_231(x))
Eq(F_199(x), F_200(x) + F_229(x))
Eq(F_200(x), F_201(x)*F_5(x))
Eq(F_201(x), F_202(x))
Eq(F_202(x), F_203(x)*F_22(x))
Eq(F_203(x), F_204(x) + F_205(x))
Eq(F_204(x), F_0(x)*F_41(x))
Eq(F_205(x), F_206(x))
Eq(F_206(x), F_119(x)*F_207(x)*F_208(x)*F_22(x))
Eq(F_207(x), F_0(x) + F_201(x))
Eq(F_208(x), F_209(x) + F_72(x))
Eq(F_209(x), F_210(x) + F_42(x))
Eq(F_210(x), F_211(x) + F_213(x) + F_79(x))
Eq(F_211(x), F_212(x)*F_22(x))
Eq(F_212(x), F_210(x) + F_73(x))
Eq(F_213(x), F_214(x)*F_22(x))
Eq(F_214(x), F_215(x) + F_220(x))
Eq(F_215(x), F_216(x) + F_42(x))
Eq(F_216(x), F_217(x) + F_219(x) + F_79(x))
Eq(F_217(x), F_218(x)*F_22(x))
Eq(F_218(x), F_216(x) + F_22(x))
Eq(F_219(x), F_22(x)*F_42(x))
Eq(F_220(x), F_210(x) + F_221(x))
Eq(F_221(x), F_222(x) + F_224(x) + F_228(x) + F_79(x))
Eq(F_222(x), F_22(x)*F_223(x))
Eq(F_223(x), F_221(x) + F_78(x))
Eq(F_224(x), F_22(x)*F_225(x))
Eq(F_225(x), F_226(x) + F_227(x))
Eq(F_226(x), F_216(x))
Eq(F_227(x), F_221(x))
Eq(F_228(x), F_210(x)*F_22(x))
Eq(F_229(x), F_230(x))
Eq(F_230(x), F_198(x)*F_22(x)*F_40(x))
Eq(F_231(x), F_232(x))
Eq(F_232(x), F_22(x)*F_233(x)*F_41(x))
Eq(F_233(x), F_231(x) + F_234(x))
Eq(F_234(x), F_199(x) + F_235(x))
Eq(F_235(x), F_236(x)/F_22(x))
Eq(F_236(x), F_186(x))
Eq(F_237(x), F_238(x))
Eq(F_238(x), F_22(x)*F_233(x)*F_40(x))
Eq(F_239(x), F_240(x) + F_242(x))
Eq(F_240(x), F_241(x) + F_5(x))
Eq(F_241(x), F_171(x))
Eq(F_242(x), F_243(x)/F_22(x))
Eq(F_243(x), F_244(x))
Eq(F_244(x), F_22(x)*F_245(x)*F_248(x))
Eq(F_245(x), F_246(x) + F_5(x))
Eq(F_246(x), F_247(x))
Eq(F_247(x), F_22(x)*F_41(x)*F_49(x))
Eq(F_248(x), F_249(x))
Eq(F_249(x), F_22(x)*F_250(x))
Eq(F_250(x), F_251(x) + F_252(x))
Eq(F_251(x), F_40(x)*F_41(x))
Eq(F_252(x), F_253(x))
Eq(F_253(x), F_22(x)*F_254(x)*F_40(x))
Eq(F_254(x), F_255(x)/(F_22(x)*F_37(x)))
Eq(F_255(x), F_256(x))
Eq(F_256(x), F_169(x) - F_257(x))
Eq(F_257(x), F_240(x) + F_258(x))
Eq(F_258(x), F_259(x))
Eq(F_259(x), F_22(x)*F_257(x)*F_40(x))
Eq(F_260(x), F_0(x)*F_21(x))
Eq(F_261(x), F_184(x)*F_21(x))
Eq(F_262(x), F_263(x) + F_265(x))
Eq(F_263(x), F_264(x)/(F_22(x)*F_5(x)))
Eq(F_264(x), F_61(x))
Eq(F_265(x), F_266(x))
Eq(F_266(x), F_22(x)*F_262(x)*F_40(x))
Eq(F_267(x), F_268(x) + F_273(x))
Eq(F_268(x), F_269(x) - F_4(x))
Eq(F_269(x), F_270(x) + F_271(x))
Eq(F_270(x), F_0(x) + F_33(x))
Eq(F_271(x), F_130(x) - F_272(x))
Eq(F_272(x), F_156(x))
Eq(F_273(x), F_274(x))
Eq(F_274(x), F_22(x)*F_275(x))
Eq(F_275(x), F_276(x) + F_284(x))
Eq(F_276(x), F_277(x))
Eq(F_277(x), F_22(x)*F_278(x)*F_41(x))
Eq(F_278(x), F_279(x) + F_63(x))
Eq(F_279(x), F_280(x))
Eq(F_280(x), F_22(x)*F_281(x))
Eq(F_281(x), F_278(x) + F_282(x))
Eq(F_282(x), F_283(x))
Eq(F_283(x), F_163(x)*F_41(x)*F_58(x))
Eq(F_284(x), F_285(x))
Eq(F_285(x), F_22(x)*F_286(x))
Eq(F_286(x), F_287(x) + F_304(x))
Eq(F_287(x), F_288(x)*F_41(x))
Eq(F_288(x), F_289(x) - F_298(x))
Eq(F_289(x), F_290(x)/F_22(x))
Eq(F_290(x), F_291(x))
Eq(F_291(x), F_292(x) - F_294(x))
Eq(F_292(x), F_293(x)/F_22(x))
Eq(F_293(x), F_135(x))
Eq(F_294(x), F_295(x))
Eq(F_295(x), F_22(x)*F_296(x))
Eq(F_296(x), F_297(x)/F_22(x))
Eq(F_297(x), F_268(x))
Eq(F_298(x), F_299(x)*F_301(x))
Eq(F_299(x), F_300(x))
Eq(F_300(x), F_22(x)*F_240(x))
Eq(F_301(x), F_302(x)/(F_22(x)*F_5(x)))
Eq(F_302(x), F_303(x))
Eq(F_303(x), F_22(x)*F_263(x)*F_49(x))
Eq(F_304(x), F_218(x)*F_301(x)*F_5(x))
Eq(F_305(x), F_306(x))
Eq(F_306(x), F_22(x)*F_307(x))
Eq(F_307(x), F_308(x) + F_347(x))
Eq(F_308(x), F_309(x) + F_339(x))
Eq(F_309(x), F_310(x) - F_331(x))
Eq(F_310(x), F_17(x) + F_311(x))
Eq(F_311(x), F_312(x))
Eq(F_312(x), F_16(x)*F_22(x)*F_313(x))
Eq(F_313(x), F_314(x) + F_318(x))
Eq(F_314(x), F_315(x))
Eq(F_315(x), F_316(x)/F_22(x))
Eq(F_316(x), F_317(x))
Eq(F_317(x), -F_26(x) + F_65(x))
Eq(F_318(x), F_319(x) - F_330(x))
Eq(F_319(x), F_320(x)/F_22(x))
Eq(F_320(x), F_321(x))
Eq(F_321(x), F_322(x) - F_329(x))
Eq(F_322(x), F_323(x) + F_324(x))
Eq(F_323(x), -F_112(x) + F_37(x))
Eq(F_324(x), -F_325(x) + F_94(x))
Eq(F_325(x), -F_112(x) + F_326(x))
Eq(F_326(x), F_26(x) + F_327(x))
Eq(F_327(x), F_328(x))
Eq(F_328(x), F_22(x)*F_315(x))
Eq(F_329(x), F_21(x)*F_26(x))
Eq(F_330(x), F_21(x)*F_313(x))
Eq(F_331(x), F_332(x)/(F_22(x)*F_333(x)))
Eq(F_332(x), F_311(x))
Eq(F_333(x), F_334(x) + F_335(x))
Eq(F_334(x), F_26(x)*F_40(x))
Eq(F_335(x), F_336(x) - F_338(x))
Eq(F_336(x), F_337(x)/(F_22(x)*F_37(x)))
Eq(F_337(x), F_96(x))
Eq(F_338(x), F_25(x)*F_40(x))
Eq(F_339(x), F_21(x)*F_340(x))
Eq(F_340(x), F_341(x) - F_343(x))
Eq(F_341(x), F_342(x)/(F_22(x)*F_5(x)))
Eq(F_342(x), F_96(x))
Eq(F_343(x), F_344(x))
Eq(F_344(x), F_22(x)*F_345(x))
Eq(F_345(x), F_346(x)/(F_125(x)*F_22(x)))
Eq(F_346(x), F_113(x))
Eq(F_347(x), F_348(x) + F_350(x))
Eq(F_348(x), -F_310(x) + F_349(x))
Eq(F_349(x), F_154(x) + F_35(x))
Eq(F_350(x), F_351(x))
Eq(F_351(x), -F_339(x) + F_352(x))
Eq(F_352(x), F_353(x) + F_354(x))
Eq(F_353(x), F_2(x)*F_21(x)*F_40(x))
Eq(F_354(x), F_355(x) - F_363(x))
Eq(F_355(x), F_356(x)/F_22(x))
Eq(F_356(x), F_357(x))
Eq(F_357(x), F_358(x) - F_362(x))
Eq(F_358(x), F_130(x) - F_359(x))
Eq(F_359(x), F_20(x) + F_360(x))
Eq(F_360(x), F_361(x))
Eq(F_361(x), F_0(x)*F_21(x)*F_22(x)*F_59(x))
Eq(F_362(x), F_268(x) - F_33(x))
Eq(F_363(x), F_0(x)*F_21(x)*F_364(x))
Eq(F_364(x), F_365(x)/(F_0(x)*F_5(x)))
Eq(F_365(x), F_366(x) - F_368(x))
Eq(F_366(x), F_367(x)/F_22(x))
Eq(F_367(x), F_273(x))
Eq(F_368(x), F_369(x) - F_372(x))
Eq(F_369(x), F_370(x)/F_22(x))
Eq(F_370(x), F_371(x))
Eq(F_371(x), -F_268(x) + F_51(x))
Eq(F_372(x), F_373(x))
Eq(F_373(x), F_0(x)*F_22(x)*F_374(x)*F_5(x))
Eq(F_374(x), F_375(x)/(F_125(x)*F_22(x)))
Eq(F_375(x), F_376(x))
Eq(F_376(x), F_377(x)/F_0(x))
Eq(F_377(x), F_378(x))
Eq(F_378(x), F_379(x) - F_381(x))
Eq(F_379(x), F_380(x)/F_22(x))
Eq(F_380(x), F_371(x))
Eq(F_381(x), F_382(x))
Eq(F_382(x), F_119(x)*F_22(x)*F_30(x))
Eq(F_383(x), F_268(x) + F_384(x))
Eq(F_384(x), F_385(x))
Eq(F_385(x), F_22(x)*F_386(x))
Eq(F_386(x), F_387(x))
Eq(F_387(x), F_163(x)*F_22(x)*F_250(x)*F_37(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"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.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": 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, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [2, 0, 3, 1, 4], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [2, 3, 0, 1, 4], [2, 3, 0, 4, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [2, 0, 3, 1, 4], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [2, 3, 0, 1, 4], [2, 3, 0, 4, 1]], "symmetry": 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": [], "iterative": false}
Specification JSON:
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1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [2, 0, 3, 1, 4], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [2, 3, 0, 1, 4], [2, 3, 0, 4, 1]], "symmetry": false}}, {"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": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 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, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [2, 0, 3, 1, 4], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [2, 3, 0, 1, 4], [2, 3, 0, 4, 1]], "symmetry": false}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 2, 0, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 2, 0], "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, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [2, 0, 3, 1, 4], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [2, 3, 0, 1, 4], [2, 3, 0, 4, 1]], "symmetry": false}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 2
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/24974/
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[25,x]*F[4,x]
F[4,x] = F[5,x]+F[6,x]
F[5,x] = -1+(x^2-2*x)*F[5,x]^2+(2+x)*F[5,x]
F[6,x] = F[2,x]+F[7,x]
F[7,x] = F[8,x]
F[8,x] = F[25,x]*F[9,x]
F[9,x] = F[10,x]+F[376,x]
F[10,x] = F[11,x]+F[300,x]
F[11,x] = F[12,x]+F[2,x]
F[12,x] = F[13,x]
F[13,x] = F[14,x]*F[25,x]
F[14,x] = F[15,x]+F[34,x]
F[15,x] = F[16,x]*F[2,x]
F[16,x] = F[17,x]+F[5,x]
F[17,x] = F[18,x]
F[18,x] = F[19,x]*F[25,x]*F[31,x]
F[19,x] = F[20,x]+F[5,x]
F[20,x] = F[21,x]
F[21,x] = F[22,x]*F[25,x]*F[26,x]
F[22,x] = F[1,x]+F[23,x]
F[23,x] = F[24,x]
F[24,x] = F[22,x]*F[25,x]
F[25,x] = x
F[26,x] = 1/F[22,x]/F[25,x]*F[27,x]
F[27,x] = F[28,x]
F[28,x] = F[29,x]
F[29,x] = F[25,x]*F[30,x]*F[31,x]
F[30,x] = F[28,x]+F[5,x]
F[31,x] = F[22,x]+F[32,x]
F[32,x] = F[33,x]
F[33,x] = F[31,x]^2*F[25,x]
F[34,x] = F[35,x]
F[35,x] = F[25,x]*F[36,x]
F[36,x] = F[37,x]+F[52,x]
F[37,x] = F[38,x]+F[50,x]
F[38,x] = 1/F[25,x]*F[39,x]
F[39,x] = F[40,x]
F[40,x] = F[41,x]
F[41,x] = F[25,x]*F[42,x]
F[42,x] = F[43,x]+F[47,x]
F[43,x] = F[30,x]+F[44,x]
F[44,x] = F[45,x]+F[6,x]
F[45,x] = F[46,x]
F[46,x] = F[2,x]*F[22,x]*F[25,x]*F[26,x]
F[47,x] = -F[44,x]+F[48,x]
F[48,x] = 1/F[25,x]*F[49,x]
F[49,x] = F[7,x]
F[50,x] = F[51,x]
F[51,x] = F[25,x]*F[36,x]
F[52,x] = F[53,x]
F[53,x] = F[0,x]*F[17,x]*F[54,x]
F[54,x] = 1/F[0,x]/F[25,x]/F[5,x]*F[55,x]
F[55,x] = F[56,x]
F[56,x] = -F[4,x]+F[57,x]
F[57,x] = -F[263,x]+F[58,x]
F[58,x] = F[129,x]+F[59,x]
F[59,x] = F[123,x]+F[60,x]
F[60,x] = F[61,x]+F[62,x]
F[61,x] = -2+x^2+8*x+F[61,x]^2*(x^2+4*x-1)+(2*x^2-13*x+4)*F[61,x]
F[62,x] = F[63,x]
F[63,x] = F[25,x]*F[64,x]
F[64,x] = 1/F[25,x]*F[65,x]
F[65,x] = F[66,x]
F[66,x] = -F[61,x]+F[67,x]
F[67,x] = F[68,x]+F[81,x]
F[68,x] = F[1,x]+F[69,x]
F[69,x] = F[70,x]
F[70,x] = F[25,x]*F[71,x]
F[71,x] = F[72,x]+F[73,x]
F[72,x] = F[1,x]+F[25,x]
F[73,x] = F[69,x]+F[74,x]
F[74,x] = F[75,x]+F[76,x]+F[80,x]
F[75,x] = 0
F[76,x] = F[25,x]*F[77,x]
F[77,x] = F[78,x]+F[79,x]
F[78,x] = F[25,x]
F[79,x] = F[74,x]
F[80,x] = F[25,x]*F[69,x]
F[81,x] = F[82,x]
F[82,x] = F[25,x]*F[83,x]
F[83,x] = 1/F[25,x]*F[84,x]
F[84,x] = F[85,x]
F[85,x] = -F[68,x]+F[86,x]
F[86,x] = 1/F[122,x]*F[87,x]
F[87,x] = -F[110,x]+F[88,x]
F[88,x] = 1/F[25,x]*F[89,x]
F[89,x] = F[90,x]
F[90,x] = F[91,x]+F[93,x]
F[91,x] = F[5,x]*F[92,x]
F[92,x] = (x^2+4*x-1)*F[92,x]^2+(4*x^2-5*x+2)*F[92,x]+4*x^2-x
F[93,x] = F[94,x]
F[94,x] = F[25,x]*F[95,x]
F[95,x] = F[96,x]+F[97,x]
F[96,x] = F[28,x]*F[67,x]
F[97,x] = F[98,x]
F[98,x] = F[25,x]*F[31,x]*F[99,x]
F[99,x] = 1/F[25,x]*F[100,x]
F[100,x] = F[101,x]
F[101,x] = F[102,x]+F[103,x]
F[102,x] = F[26,x]*F[92,x]
F[103,x] = F[104,x]*F[107,x]
F[104,x] = -F[101,x]+F[105,x]
F[105,x] = 1/F[22,x]/F[25,x]*F[106,x]
F[106,x] = F[93,x]
F[107,x] = F[108,x]
F[108,x] = F[109,x]^2*F[25,x]
F[109,x] = F[1,x]+F[107,x]
F[110,x] = -F[113,x]+F[111,x]
F[111,x] = 1/F[25,x]*F[112,x]
F[112,x] = F[93,x]
F[113,x] = F[114,x]*F[86,x]
F[114,x] = F[115,x]
F[115,x] = F[116,x]*F[25,x]*F[5,x]
F[116,x] = F[117,x]+F[22,x]
F[117,x] = F[118,x]+F[23,x]
F[118,x] = F[119,x]+F[121,x]+F[75,x]
F[119,x] = F[120,x]*F[25,x]
F[120,x] = F[118,x]+F[23,x]
F[121,x] = F[117,x]*F[25,x]
F[122,x] = F[114,x]+F[5,x]
F[123,x] = -F[129,x]+F[124,x]
F[124,x] = 1/F[25,x]*F[125,x]
F[125,x] = F[126,x]
F[126,x] = -F[2,x]+F[127,x]
F[127,x] = -F[61,x]+F[128,x]
F[128,x] = F[0,x]+F[40,x]
F[129,x] = F[130,x]
F[130,x] = F[131,x]*F[25,x]
F[131,x] = 1/F[25,x]*F[132,x]
F[132,x] = F[133,x]
F[133,x] = F[134,x]+F[40,x]
F[134,x] = F[135,x]
F[135,x] = F[136,x]*F[25,x]
F[136,x] = F[137,x]+F[148,x]
F[137,x] = F[138,x]
F[138,x] = F[139,x]*F[25,x]
F[139,x] = 1/F[25,x]*F[140,x]
F[140,x] = F[141,x]
F[141,x] = -F[144,x]+F[142,x]
F[142,x] = 1/F[25,x]*F[143,x]
F[143,x] = F[7,x]
F[144,x] = F[145,x]
F[145,x] = F[146,x]*F[25,x]
F[146,x] = 1/F[25,x]*F[147,x]
F[147,x] = F[10,x]
F[148,x] = F[149,x]
F[149,x] = F[150,x]*F[25,x]
F[150,x] = F[151,x]+F[166,x]
F[151,x] = 1/F[25,x]*F[152,x]
F[152,x] = F[153,x]
F[153,x] = 1/F[25,x]*F[154,x]
F[154,x] = F[155,x]
F[155,x] = -F[164,x]+F[156,x]
F[156,x] = F[157,x]
F[157,x] = F[158,x]*F[25,x]
F[158,x] = F[159,x]+F[161,x]
F[159,x] = F[160,x]+F[59,x]
F[160,x] = F[156,x]
F[161,x] = F[162,x]*F[17,x]
F[162,x] = 1/F[22,x]/F[25,x]/F[5,x]*F[163,x]
F[163,x] = F[56,x]
F[164,x] = F[12,x]+F[165,x]
F[165,x] = (x*F[165,x]+x-1)*(x*F[165,x]+x-2*F[165,x])
F[166,x] = F[167,x]*F[258,x]
F[167,x] = F[168,x]
F[168,x] = F[169,x]*F[25,x]
F[169,x] = 1/F[25,x]*F[170,x]
F[170,x] = F[171,x]
F[171,x] = 1/F[193,x]*F[172,x]
F[172,x] = -F[257,x]+F[173,x]
F[173,x] = 1/F[25,x]*F[174,x]
F[174,x] = F[175,x]
F[175,x] = -F[256,x]+F[176,x]
F[176,x] = F[177,x]
F[177,x] = F[178,x]*F[25,x]
F[178,x] = F[179,x]+F[191,x]
F[179,x] = F[180,x]+F[189,x]
F[180,x] = F[181,x]*F[5,x]
F[181,x] = F[0,x]+F[182,x]
F[182,x] = F[183,x]
F[183,x] = F[184,x]*F[25,x]
F[184,x] = 1/F[25,x]*F[185,x]
F[185,x] = F[186,x]
F[186,x] = -F[0,x]+F[187,x]
F[187,x] = 1/F[25,x]*F[188,x]
F[188,x] = F[2,x]
F[189,x] = F[190,x]
F[190,x] = F[178,x]*F[25,x]*F[31,x]
F[191,x] = F[192,x]
F[192,x] = F[193,x]*F[239,x]*F[25,x]
F[193,x] = 1/F[165,x]*F[194,x]
F[194,x] = -F[237,x]+F[195,x]
F[195,x] = 1/F[25,x]*F[196,x]
F[196,x] = F[197,x]
F[197,x] = F[198,x]*F[25,x]
F[198,x] = F[199,x]+F[231,x]
F[199,x] = F[200,x]+F[229,x]
F[200,x] = F[201,x]*F[5,x]
F[201,x] = F[202,x]
F[202,x] = F[203,x]*F[25,x]
F[203,x] = F[204,x]+F[205,x]
F[204,x] = F[0,x]*F[22,x]
F[205,x] = F[206,x]
F[206,x] = F[116,x]*F[207,x]*F[208,x]*F[25,x]
F[207,x] = F[0,x]+F[201,x]
F[208,x] = F[209,x]+F[68,x]
F[209,x] = F[210,x]+F[23,x]
F[210,x] = F[211,x]+F[213,x]+F[75,x]
F[211,x] = F[212,x]*F[25,x]
F[212,x] = F[210,x]+F[69,x]
F[213,x] = F[214,x]*F[25,x]
F[214,x] = F[215,x]+F[220,x]
F[215,x] = F[216,x]+F[23,x]
F[216,x] = F[217,x]+F[219,x]+F[75,x]
F[217,x] = F[218,x]*F[25,x]
F[218,x] = F[216,x]+F[25,x]
F[219,x] = F[23,x]*F[25,x]
F[220,x] = F[210,x]+F[221,x]
F[221,x] = F[222,x]+F[224,x]+F[228,x]+F[75,x]
F[222,x] = F[223,x]*F[25,x]
F[223,x] = F[221,x]+F[74,x]
F[224,x] = F[225,x]*F[25,x]
F[225,x] = F[226,x]+F[227,x]
F[226,x] = F[216,x]
F[227,x] = F[221,x]
F[228,x] = F[210,x]*F[25,x]
F[229,x] = F[230,x]
F[230,x] = F[198,x]*F[25,x]*F[31,x]
F[231,x] = F[232,x]
F[232,x] = F[22,x]*F[233,x]*F[25,x]
F[233,x] = F[231,x]+F[234,x]
F[234,x] = F[199,x]+F[235,x]
F[235,x] = 1/F[25,x]*F[236,x]
F[236,x] = F[186,x]
F[237,x] = F[238,x]
F[238,x] = F[233,x]*F[25,x]*F[31,x]
F[239,x] = F[240,x]+F[241,x]
F[240,x] = F[171,x]+F[5,x]
F[241,x] = 1/F[25,x]*F[242,x]
F[242,x] = F[243,x]
F[243,x] = F[19,x]*F[244,x]*F[25,x]
F[244,x] = F[245,x]
F[245,x] = F[246,x]*F[25,x]
F[246,x] = F[247,x]+F[248,x]
F[247,x] = F[22,x]*F[31,x]
F[248,x] = F[249,x]
F[249,x] = F[25,x]*F[250,x]*F[31,x]
F[250,x] = 1/F[25,x]/F[30,x]*F[251,x]
F[251,x] = F[252,x]
F[252,x] = -F[253,x]+F[169,x]
F[253,x] = F[240,x]+F[254,x]
F[254,x] = F[255,x]
F[255,x] = F[25,x]*F[253,x]*F[31,x]
F[256,x] = F[0,x]*F[165,x]
F[257,x] = F[165,x]*F[184,x]
F[258,x] = F[259,x]+F[261,x]
F[259,x] = 1/F[25,x]/F[5,x]*F[260,x]
F[260,x] = F[56,x]
F[261,x] = F[262,x]
F[262,x] = F[25,x]*F[258,x]*F[31,x]
F[263,x] = F[264,x]+F[268,x]
F[264,x] = -F[4,x]+F[265,x]
F[265,x] = F[128,x]+F[266,x]
F[266,x] = -F[267,x]+F[129,x]
F[267,x] = F[155,x]
F[268,x] = F[269,x]
F[269,x] = F[25,x]*F[270,x]
F[270,x] = F[271,x]+F[279,x]
F[271,x] = F[272,x]
F[272,x] = F[22,x]*F[25,x]*F[273,x]
F[273,x] = F[274,x]+F[58,x]
F[274,x] = F[275,x]
F[275,x] = F[25,x]*F[276,x]
F[276,x] = F[273,x]+F[277,x]
F[277,x] = F[278,x]
F[278,x] = F[162,x]*F[17,x]*F[22,x]
F[279,x] = F[280,x]
F[280,x] = F[25,x]*F[281,x]
F[281,x] = F[282,x]+F[299,x]
F[282,x] = F[22,x]*F[283,x]
F[283,x] = -F[293,x]+F[284,x]
F[284,x] = 1/F[25,x]*F[285,x]
F[285,x] = F[286,x]
F[286,x] = -F[289,x]+F[287,x]
F[287,x] = 1/F[25,x]*F[288,x]
F[288,x] = F[134,x]
F[289,x] = F[290,x]
F[290,x] = F[25,x]*F[291,x]
F[291,x] = 1/F[25,x]*F[292,x]
F[292,x] = F[264,x]
F[293,x] = F[294,x]*F[296,x]
F[294,x] = F[295,x]
F[295,x] = F[240,x]*F[25,x]
F[296,x] = 1/F[25,x]/F[5,x]*F[297,x]
F[297,x] = F[298,x]
F[298,x] = F[25,x]*F[259,x]*F[26,x]
F[299,x] = F[218,x]*F[296,x]*F[5,x]
F[300,x] = F[301,x]
F[301,x] = F[25,x]*F[302,x]
F[302,x] = F[303,x]+F[343,x]
F[303,x] = F[304,x]+F[335,x]
F[304,x] = -F[327,x]+F[305,x]
F[305,x] = F[306,x]+F[307,x]
F[306,x] = F[16,x]*F[61,x]
F[307,x] = F[308,x]
F[308,x] = F[16,x]*F[25,x]*F[309,x]
F[309,x] = F[310,x]+F[314,x]
F[310,x] = F[311,x]
F[311,x] = 1/F[25,x]*F[312,x]
F[312,x] = F[313,x]
F[313,x] = -F[61,x]+F[60,x]
F[314,x] = -F[326,x]+F[315,x]
F[315,x] = 1/F[25,x]*F[316,x]
F[316,x] = F[317,x]
F[317,x] = -F[325,x]+F[318,x]
F[318,x] = F[319,x]+F[320,x]
F[319,x] = -F[109,x]+F[30,x]
F[320,x] = -F[321,x]+F[90,x]
F[321,x] = -F[109,x]+F[322,x]
F[322,x] = F[323,x]+F[61,x]
F[323,x] = F[324,x]
F[324,x] = F[25,x]*F[311,x]
F[325,x] = F[165,x]*F[61,x]
F[326,x] = F[165,x]*F[309,x]
F[327,x] = 1/F[25,x]/F[329,x]*F[328,x]
F[328,x] = F[307,x]
F[329,x] = F[330,x]+F[331,x]
F[330,x] = F[31,x]*F[61,x]
F[331,x] = -F[334,x]+F[332,x]
F[332,x] = 1/F[25,x]/F[30,x]*F[333,x]
F[333,x] = F[93,x]
F[334,x] = F[31,x]*F[92,x]
F[335,x] = F[165,x]*F[336,x]
F[336,x] = -F[339,x]+F[337,x]
F[337,x] = 1/F[25,x]/F[5,x]*F[338,x]
F[338,x] = F[93,x]
F[339,x] = F[340,x]
F[340,x] = F[25,x]*F[341,x]
F[341,x] = 1/F[122,x]/F[25,x]*F[342,x]
F[342,x] = F[110,x]
F[343,x] = F[344,x]+F[346,x]
F[344,x] = -F[305,x]+F[345,x]
F[345,x] = F[153,x]+F[42,x]
F[346,x] = F[347,x]
F[347,x] = -F[335,x]+F[348,x]
F[348,x] = F[349,x]+F[350,x]
F[349,x] = F[165,x]*F[2,x]*F[31,x]
F[350,x] = -F[356,x]+F[351,x]
F[351,x] = 1/F[25,x]*F[352,x]
F[352,x] = F[353,x]
F[353,x] = -F[354,x]+F[267,x]
F[354,x] = F[355,x]
F[355,x] = F[0,x]*F[165,x]*F[25,x]*F[54,x]
F[356,x] = F[0,x]*F[165,x]*F[357,x]
F[357,x] = 1/F[0,x]/F[5,x]*F[358,x]
F[358,x] = -F[361,x]+F[359,x]
F[359,x] = 1/F[25,x]*F[360,x]
F[360,x] = F[268,x]
F[361,x] = -F[365,x]+F[362,x]
F[362,x] = 1/F[25,x]*F[363,x]
F[363,x] = F[364,x]
F[364,x] = -F[264,x]+F[47,x]
F[365,x] = F[366,x]
F[366,x] = F[0,x]*F[25,x]*F[367,x]*F[5,x]
F[367,x] = 1/F[122,x]/F[25,x]*F[368,x]
F[368,x] = F[369,x]
F[369,x] = 1/F[0,x]*F[370,x]
F[370,x] = F[371,x]
F[371,x] = -F[374,x]+F[372,x]
F[372,x] = 1/F[25,x]*F[373,x]
F[373,x] = F[364,x]
F[374,x] = F[375,x]
F[375,x] = F[116,x]*F[25,x]*F[37,x]
F[376,x] = F[264,x]+F[377,x]
F[377,x] = F[378,x]
F[378,x] = F[25,x]*F[379,x]
F[379,x] = F[380,x]
F[380,x] = F[162,x]*F[246,x]*F[25,x]*F[30,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_{25}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{5}\! \left(x \right)+F_{6}\! \left(x \right)
F_{5}\! \left(x \right) = x^{2} F_{5} \left(x \right)^{2}-2 x F_{5} \left(x \right)^{2}+F_{5}\! \left(x \right) x +2 F_{5}\! \left(x \right)-1
F_{6}\! \left(x \right) = F_{2}\! \left(x \right)+F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{25}\! \left(x \right) F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{376}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{300}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{2}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right) F_{25}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)+F_{34}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right) F_{2}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)+F_{5}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right) F_{25}\! \left(x \right) F_{31}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)+F_{5}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right) F_{25}\! \left(x \right) F_{26}\! \left(x \right)
F_{22}\! \left(x \right) = F_{1}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{22}\! \left(x \right) F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = x
F_{26}\! \left(x \right) = \frac{F_{27}\! \left(x \right)}{F_{22}\! \left(x \right) F_{25}\! \left(x \right)}
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{25}\! \left(x \right) F_{30}\! \left(x \right) F_{31}\! \left(x \right)
F_{30}\! \left(x \right) = F_{28}\! \left(x \right)+F_{5}\! \left(x \right)
F_{31}\! \left(x \right) = F_{22}\! \left(x \right)+F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{31} \left(x \right)^{2} F_{25}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{25}\! \left(x \right) F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)+F_{52}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)+F_{50}\! \left(x \right)
F_{38}\! \left(x \right) = \frac{F_{39}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{25}\! \left(x \right) F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)+F_{47}\! \left(x \right)
F_{43}\! \left(x \right) = F_{30}\! \left(x \right)+F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)+F_{6}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{2}\! \left(x \right) F_{22}\! \left(x \right) F_{25}\! \left(x \right) F_{26}\! \left(x \right)
F_{47}\! \left(x \right) = -F_{44}\! \left(x \right)+F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = \frac{F_{49}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{49}\! \left(x \right) = F_{7}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{25}\! \left(x \right) F_{36}\! \left(x \right)
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{0}\! \left(x \right) F_{17}\! \left(x \right) F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = \frac{F_{55}\! \left(x \right)}{F_{0}\! \left(x \right) F_{25}\! \left(x \right) F_{5}\! \left(x \right)}
F_{55}\! \left(x \right) = F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = -F_{4}\! \left(x \right)+F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = -F_{263}\! \left(x \right)+F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{129}\! \left(x \right)+F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{123}\! \left(x \right)+F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)+F_{62}\! \left(x \right)
F_{61}\! \left(x \right) = x^{2} F_{61} \left(x \right)^{2}+2 x^{2} F_{61}\! \left(x \right)+4 x F_{61} \left(x \right)^{2}+x^{2}-13 x F_{61}\! \left(x \right)-F_{61} \left(x \right)^{2}+8 x +4 F_{61}\! \left(x \right)-2
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{25}\! \left(x \right) F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = \frac{F_{65}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = -F_{61}\! \left(x \right)+F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)+F_{81}\! \left(x \right)
F_{68}\! \left(x \right) = F_{1}\! \left(x \right)+F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{25}\! \left(x \right) F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{72}\! \left(x \right)+F_{73}\! \left(x \right)
F_{72}\! \left(x \right) = F_{1}\! \left(x \right)+F_{25}\! \left(x \right)
F_{73}\! \left(x \right) = F_{69}\! \left(x \right)+F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)+F_{76}\! \left(x \right)+F_{80}\! \left(x \right)
F_{75}\! \left(x \right) = 0
F_{76}\! \left(x \right) = F_{25}\! \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_{25}\! \left(x \right)
F_{79}\! \left(x \right) = F_{74}\! \left(x \right)
F_{80}\! \left(x \right) = F_{25}\! \left(x \right) F_{69}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{25}\! \left(x \right) F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = \frac{F_{84}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = -F_{68}\! \left(x \right)+F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = \frac{F_{87}\! \left(x \right)}{F_{122}\! \left(x \right)}
F_{87}\! \left(x \right) = -F_{110}\! \left(x \right)+F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = \frac{F_{89}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)+F_{93}\! \left(x \right)
F_{91}\! \left(x \right) = F_{5}\! \left(x \right) F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = x^{2} F_{92} \left(x \right)^{2}+4 x^{2} F_{92}\! \left(x \right)+4 x F_{92} \left(x \right)^{2}+4 x^{2}-5 x F_{92}\! \left(x \right)-F_{92} \left(x \right)^{2}-x +2 F_{92}\! \left(x \right)
F_{93}\! \left(x \right) = F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{25}\! \left(x \right) F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{96}\! \left(x \right)+F_{97}\! \left(x \right)
F_{96}\! \left(x \right) = F_{28}\! \left(x \right) F_{67}\! \left(x \right)
F_{97}\! \left(x \right) = F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{25}\! \left(x \right) F_{31}\! \left(x \right) F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = \frac{F_{100}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)+F_{103}\! \left(x \right)
F_{102}\! \left(x \right) = F_{26}\! \left(x \right) F_{92}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right) F_{107}\! \left(x \right)
F_{104}\! \left(x \right) = -F_{101}\! \left(x \right)+F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = \frac{F_{106}\! \left(x \right)}{F_{22}\! \left(x \right) F_{25}\! \left(x \right)}
F_{106}\! \left(x \right) = F_{93}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109} \left(x \right)^{2} F_{25}\! \left(x \right)
F_{109}\! \left(x \right) = F_{1}\! \left(x \right)+F_{107}\! \left(x \right)
F_{110}\! \left(x \right) = -F_{113}\! \left(x \right)+F_{111}\! \left(x \right)
F_{111}\! \left(x \right) = \frac{F_{112}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{112}\! \left(x \right) = F_{93}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right) F_{86}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right) F_{25}\! \left(x \right) F_{5}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right)+F_{22}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)+F_{23}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)+F_{121}\! \left(x \right)+F_{75}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right) F_{25}\! \left(x \right)
F_{120}\! \left(x \right) = F_{118}\! \left(x \right)+F_{23}\! \left(x \right)
F_{121}\! \left(x \right) = F_{117}\! \left(x \right) F_{25}\! \left(x \right)
F_{122}\! \left(x \right) = F_{114}\! \left(x \right)+F_{5}\! \left(x \right)
F_{123}\! \left(x \right) = -F_{129}\! \left(x \right)+F_{124}\! \left(x \right)
F_{124}\! \left(x \right) = \frac{F_{125}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = -F_{61}\! \left(x \right)+F_{128}\! \left(x \right)
F_{128}\! \left(x \right) = F_{0}\! \left(x \right)+F_{40}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right) F_{25}\! \left(x \right)
F_{131}\! \left(x \right) = \frac{F_{132}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right)+F_{40}\! \left(x \right)
F_{134}\! \left(x \right) = F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right) F_{25}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right)+F_{148}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right) F_{25}\! \left(x \right)
F_{139}\! \left(x \right) = \frac{F_{140}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)
F_{141}\! \left(x \right) = -F_{144}\! \left(x \right)+F_{142}\! \left(x \right)
F_{142}\! \left(x \right) = \frac{F_{143}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{143}\! \left(x \right) = F_{7}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right) F_{25}\! \left(x \right)
F_{146}\! \left(x \right) = \frac{F_{147}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{147}\! \left(x \right) = F_{10}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right) F_{25}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)+F_{166}\! \left(x \right)
F_{151}\! \left(x \right) = \frac{F_{152}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = \frac{F_{154}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)
F_{155}\! \left(x \right) = -F_{164}\! \left(x \right)+F_{156}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right) F_{25}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)+F_{161}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right)+F_{59}\! \left(x \right)
F_{160}\! \left(x \right) = F_{156}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right) F_{17}\! \left(x \right)
F_{162}\! \left(x \right) = \frac{F_{163}\! \left(x \right)}{F_{22}\! \left(x \right) F_{25}\! \left(x \right) F_{5}\! \left(x \right)}
F_{163}\! \left(x \right) = F_{56}\! \left(x \right)
F_{164}\! \left(x \right) = F_{12}\! \left(x \right)+F_{165}\! \left(x \right)
F_{165}\! \left(x \right) = x^{2} F_{165} \left(x \right)^{2}+2 x^{2} F_{165}\! \left(x \right)-2 x F_{165} \left(x \right)^{2}+x^{2}-3 x F_{165}\! \left(x \right)-x +2 F_{165}\! \left(x \right)
F_{166}\! \left(x \right) = F_{167}\! \left(x \right) F_{258}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right) F_{25}\! \left(x \right)
F_{169}\! \left(x \right) = \frac{F_{170}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{170}\! \left(x \right) = F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = \frac{F_{172}\! \left(x \right)}{F_{193}\! \left(x \right)}
F_{172}\! \left(x \right) = -F_{257}\! \left(x \right)+F_{173}\! \left(x \right)
F_{173}\! \left(x \right) = \frac{F_{174}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{174}\! \left(x \right) = F_{175}\! \left(x \right)
F_{175}\! \left(x \right) = -F_{256}\! \left(x \right)+F_{176}\! \left(x \right)
F_{176}\! \left(x \right) = F_{177}\! \left(x \right)
F_{177}\! \left(x \right) = F_{178}\! \left(x \right) F_{25}\! \left(x \right)
F_{178}\! \left(x \right) = F_{179}\! \left(x \right)+F_{191}\! \left(x \right)
F_{179}\! \left(x \right) = F_{180}\! \left(x \right)+F_{189}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right) F_{5}\! \left(x \right)
F_{181}\! \left(x \right) = F_{0}\! \left(x \right)+F_{182}\! \left(x \right)
F_{182}\! \left(x \right) = F_{183}\! \left(x \right)
F_{183}\! \left(x \right) = F_{184}\! \left(x \right) F_{25}\! \left(x \right)
F_{184}\! \left(x \right) = \frac{F_{185}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{185}\! \left(x \right) = F_{186}\! \left(x \right)
F_{186}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{187}\! \left(x \right)
F_{187}\! \left(x \right) = \frac{F_{188}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{188}\! \left(x \right) = F_{2}\! \left(x \right)
F_{189}\! \left(x \right) = F_{190}\! \left(x \right)
F_{190}\! \left(x \right) = F_{178}\! \left(x \right) F_{25}\! \left(x \right) F_{31}\! \left(x \right)
F_{191}\! \left(x \right) = F_{192}\! \left(x \right)
F_{192}\! \left(x \right) = F_{193}\! \left(x \right) F_{239}\! \left(x \right) F_{25}\! \left(x \right)
F_{193}\! \left(x \right) = \frac{F_{194}\! \left(x \right)}{F_{165}\! \left(x \right)}
F_{194}\! \left(x \right) = -F_{237}\! \left(x \right)+F_{195}\! \left(x \right)
F_{195}\! \left(x \right) = \frac{F_{196}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{196}\! \left(x \right) = F_{197}\! \left(x \right)
F_{197}\! \left(x \right) = F_{198}\! \left(x \right) F_{25}\! \left(x \right)
F_{198}\! \left(x \right) = F_{199}\! \left(x \right)+F_{231}\! \left(x \right)
F_{199}\! \left(x \right) = F_{200}\! \left(x \right)+F_{229}\! \left(x \right)
F_{200}\! \left(x \right) = F_{201}\! \left(x \right) F_{5}\! \left(x \right)
F_{201}\! \left(x \right) = F_{202}\! \left(x \right)
F_{202}\! \left(x \right) = F_{203}\! \left(x \right) F_{25}\! \left(x \right)
F_{203}\! \left(x \right) = F_{204}\! \left(x \right)+F_{205}\! \left(x \right)
F_{204}\! \left(x \right) = F_{0}\! \left(x \right) F_{22}\! \left(x \right)
F_{205}\! \left(x \right) = F_{206}\! \left(x \right)
F_{206}\! \left(x \right) = F_{116}\! \left(x \right) F_{207}\! \left(x \right) F_{208}\! \left(x \right) F_{25}\! \left(x \right)
F_{207}\! \left(x \right) = F_{0}\! \left(x \right)+F_{201}\! \left(x \right)
F_{208}\! \left(x \right) = F_{209}\! \left(x \right)+F_{68}\! \left(x \right)
F_{209}\! \left(x \right) = F_{210}\! \left(x \right)+F_{23}\! \left(x \right)
F_{210}\! \left(x \right) = F_{211}\! \left(x \right)+F_{213}\! \left(x \right)+F_{75}\! \left(x \right)
F_{211}\! \left(x \right) = F_{212}\! \left(x \right) F_{25}\! \left(x \right)
F_{212}\! \left(x \right) = F_{210}\! \left(x \right)+F_{69}\! \left(x \right)
F_{213}\! \left(x \right) = F_{214}\! \left(x \right) F_{25}\! \left(x \right)
F_{214}\! \left(x \right) = F_{215}\! \left(x \right)+F_{220}\! \left(x \right)
F_{215}\! \left(x \right) = F_{216}\! \left(x \right)+F_{23}\! \left(x \right)
F_{216}\! \left(x \right) = F_{217}\! \left(x \right)+F_{219}\! \left(x \right)+F_{75}\! \left(x \right)
F_{217}\! \left(x \right) = F_{218}\! \left(x \right) F_{25}\! \left(x \right)
F_{218}\! \left(x \right) = F_{216}\! \left(x \right)+F_{25}\! \left(x \right)
F_{219}\! \left(x \right) = F_{23}\! \left(x \right) F_{25}\! \left(x \right)
F_{220}\! \left(x \right) = F_{210}\! \left(x \right)+F_{221}\! \left(x \right)
F_{221}\! \left(x \right) = F_{222}\! \left(x \right)+F_{224}\! \left(x \right)+F_{228}\! \left(x \right)+F_{75}\! \left(x \right)
F_{222}\! \left(x \right) = F_{223}\! \left(x \right) F_{25}\! \left(x \right)
F_{223}\! \left(x \right) = F_{221}\! \left(x \right)+F_{74}\! \left(x \right)
F_{224}\! \left(x \right) = F_{225}\! \left(x \right) F_{25}\! \left(x \right)
F_{225}\! \left(x \right) = F_{226}\! \left(x \right)+F_{227}\! \left(x \right)
F_{226}\! \left(x \right) = F_{216}\! \left(x \right)
F_{227}\! \left(x \right) = F_{221}\! \left(x \right)
F_{228}\! \left(x \right) = F_{210}\! \left(x \right) F_{25}\! \left(x \right)
F_{229}\! \left(x \right) = F_{230}\! \left(x \right)
F_{230}\! \left(x \right) = F_{198}\! \left(x \right) F_{25}\! \left(x \right) F_{31}\! \left(x \right)
F_{231}\! \left(x \right) = F_{232}\! \left(x \right)
F_{232}\! \left(x \right) = F_{22}\! \left(x \right) F_{233}\! \left(x \right) F_{25}\! \left(x \right)
F_{233}\! \left(x \right) = F_{231}\! \left(x \right)+F_{234}\! \left(x \right)
F_{234}\! \left(x \right) = F_{199}\! \left(x \right)+F_{235}\! \left(x \right)
F_{235}\! \left(x \right) = \frac{F_{236}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{236}\! \left(x \right) = F_{186}\! \left(x \right)
F_{237}\! \left(x \right) = F_{238}\! \left(x \right)
F_{238}\! \left(x \right) = F_{233}\! \left(x \right) F_{25}\! \left(x \right) F_{31}\! \left(x \right)
F_{239}\! \left(x \right) = F_{240}\! \left(x \right)+F_{241}\! \left(x \right)
F_{240}\! \left(x \right) = F_{171}\! \left(x \right)+F_{5}\! \left(x \right)
F_{241}\! \left(x \right) = \frac{F_{242}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{242}\! \left(x \right) = F_{243}\! \left(x \right)
F_{243}\! \left(x \right) = F_{19}\! \left(x \right) F_{244}\! \left(x \right) F_{25}\! \left(x \right)
F_{244}\! \left(x \right) = F_{245}\! \left(x \right)
F_{245}\! \left(x \right) = F_{246}\! \left(x \right) F_{25}\! \left(x \right)
F_{246}\! \left(x \right) = F_{247}\! \left(x \right)+F_{248}\! \left(x \right)
F_{247}\! \left(x \right) = F_{22}\! \left(x \right) F_{31}\! \left(x \right)
F_{248}\! \left(x \right) = F_{249}\! \left(x \right)
F_{249}\! \left(x \right) = F_{25}\! \left(x \right) F_{250}\! \left(x \right) F_{31}\! \left(x \right)
F_{250}\! \left(x \right) = \frac{F_{251}\! \left(x \right)}{F_{25}\! \left(x \right) F_{30}\! \left(x \right)}
F_{251}\! \left(x \right) = F_{252}\! \left(x \right)
F_{252}\! \left(x \right) = -F_{253}\! \left(x \right)+F_{169}\! \left(x \right)
F_{253}\! \left(x \right) = F_{240}\! \left(x \right)+F_{254}\! \left(x \right)
F_{254}\! \left(x \right) = F_{255}\! \left(x \right)
F_{255}\! \left(x \right) = F_{25}\! \left(x \right) F_{253}\! \left(x \right) F_{31}\! \left(x \right)
F_{256}\! \left(x \right) = F_{0}\! \left(x \right) F_{165}\! \left(x \right)
F_{257}\! \left(x \right) = F_{165}\! \left(x \right) F_{184}\! \left(x \right)
F_{258}\! \left(x \right) = F_{259}\! \left(x \right)+F_{261}\! \left(x \right)
F_{259}\! \left(x \right) = \frac{F_{260}\! \left(x \right)}{F_{25}\! \left(x \right) F_{5}\! \left(x \right)}
F_{260}\! \left(x \right) = F_{56}\! \left(x \right)
F_{261}\! \left(x \right) = F_{262}\! \left(x \right)
F_{262}\! \left(x \right) = F_{25}\! \left(x \right) F_{258}\! \left(x \right) F_{31}\! \left(x \right)
F_{263}\! \left(x \right) = F_{264}\! \left(x \right)+F_{268}\! \left(x \right)
F_{264}\! \left(x \right) = -F_{4}\! \left(x \right)+F_{265}\! \left(x \right)
F_{265}\! \left(x \right) = F_{128}\! \left(x \right)+F_{266}\! \left(x \right)
F_{266}\! \left(x \right) = -F_{267}\! \left(x \right)+F_{129}\! \left(x \right)
F_{267}\! \left(x \right) = F_{155}\! \left(x \right)
F_{268}\! \left(x \right) = F_{269}\! \left(x \right)
F_{269}\! \left(x \right) = F_{25}\! \left(x \right) F_{270}\! \left(x \right)
F_{270}\! \left(x \right) = F_{271}\! \left(x \right)+F_{279}\! \left(x \right)
F_{271}\! \left(x \right) = F_{272}\! \left(x \right)
F_{272}\! \left(x \right) = F_{22}\! \left(x \right) F_{25}\! \left(x \right) F_{273}\! \left(x \right)
F_{273}\! \left(x \right) = F_{274}\! \left(x \right)+F_{58}\! \left(x \right)
F_{274}\! \left(x \right) = F_{275}\! \left(x \right)
F_{275}\! \left(x \right) = F_{25}\! \left(x \right) F_{276}\! \left(x \right)
F_{276}\! \left(x \right) = F_{273}\! \left(x \right)+F_{277}\! \left(x \right)
F_{277}\! \left(x \right) = F_{278}\! \left(x \right)
F_{278}\! \left(x \right) = F_{162}\! \left(x \right) F_{17}\! \left(x \right) F_{22}\! \left(x \right)
F_{279}\! \left(x \right) = F_{280}\! \left(x \right)
F_{280}\! \left(x \right) = F_{25}\! \left(x \right) F_{281}\! \left(x \right)
F_{281}\! \left(x \right) = F_{282}\! \left(x \right)+F_{299}\! \left(x \right)
F_{282}\! \left(x \right) = F_{22}\! \left(x \right) F_{283}\! \left(x \right)
F_{283}\! \left(x \right) = -F_{293}\! \left(x \right)+F_{284}\! \left(x \right)
F_{284}\! \left(x \right) = \frac{F_{285}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{285}\! \left(x \right) = F_{286}\! \left(x \right)
F_{286}\! \left(x \right) = -F_{289}\! \left(x \right)+F_{287}\! \left(x \right)
F_{287}\! \left(x \right) = \frac{F_{288}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{288}\! \left(x \right) = F_{134}\! \left(x \right)
F_{289}\! \left(x \right) = F_{290}\! \left(x \right)
F_{290}\! \left(x \right) = F_{25}\! \left(x \right) F_{291}\! \left(x \right)
F_{291}\! \left(x \right) = \frac{F_{292}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{292}\! \left(x \right) = F_{264}\! \left(x \right)
F_{293}\! \left(x \right) = F_{294}\! \left(x \right) F_{296}\! \left(x \right)
F_{294}\! \left(x \right) = F_{295}\! \left(x \right)
F_{295}\! \left(x \right) = F_{240}\! \left(x \right) F_{25}\! \left(x \right)
F_{296}\! \left(x \right) = \frac{F_{297}\! \left(x \right)}{F_{25}\! \left(x \right) F_{5}\! \left(x \right)}
F_{297}\! \left(x \right) = F_{298}\! \left(x \right)
F_{298}\! \left(x \right) = F_{25}\! \left(x \right) F_{259}\! \left(x \right) F_{26}\! \left(x \right)
F_{299}\! \left(x \right) = F_{218}\! \left(x \right) F_{296}\! \left(x \right) F_{5}\! \left(x \right)
F_{300}\! \left(x \right) = F_{301}\! \left(x \right)
F_{301}\! \left(x \right) = F_{25}\! \left(x \right) F_{302}\! \left(x \right)
F_{302}\! \left(x \right) = F_{303}\! \left(x \right)+F_{343}\! \left(x \right)
F_{303}\! \left(x \right) = F_{304}\! \left(x \right)+F_{335}\! \left(x \right)
F_{304}\! \left(x \right) = -F_{327}\! \left(x \right)+F_{305}\! \left(x \right)
F_{305}\! \left(x \right) = F_{306}\! \left(x \right)+F_{307}\! \left(x \right)
F_{306}\! \left(x \right) = F_{16}\! \left(x \right) F_{61}\! \left(x \right)
F_{307}\! \left(x \right) = F_{308}\! \left(x \right)
F_{308}\! \left(x \right) = F_{16}\! \left(x \right) F_{25}\! \left(x \right) F_{309}\! \left(x \right)
F_{309}\! \left(x \right) = F_{310}\! \left(x \right)+F_{314}\! \left(x \right)
F_{310}\! \left(x \right) = F_{311}\! \left(x \right)
F_{311}\! \left(x \right) = \frac{F_{312}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{312}\! \left(x \right) = F_{313}\! \left(x \right)
F_{313}\! \left(x \right) = -F_{61}\! \left(x \right)+F_{60}\! \left(x \right)
F_{314}\! \left(x \right) = -F_{326}\! \left(x \right)+F_{315}\! \left(x \right)
F_{315}\! \left(x \right) = \frac{F_{316}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{316}\! \left(x \right) = F_{317}\! \left(x \right)
F_{317}\! \left(x \right) = -F_{325}\! \left(x \right)+F_{318}\! \left(x \right)
F_{318}\! \left(x \right) = F_{319}\! \left(x \right)+F_{320}\! \left(x \right)
F_{319}\! \left(x \right) = -F_{109}\! \left(x \right)+F_{30}\! \left(x \right)
F_{320}\! \left(x \right) = -F_{321}\! \left(x \right)+F_{90}\! \left(x \right)
F_{321}\! \left(x \right) = -F_{109}\! \left(x \right)+F_{322}\! \left(x \right)
F_{322}\! \left(x \right) = F_{323}\! \left(x \right)+F_{61}\! \left(x \right)
F_{323}\! \left(x \right) = F_{324}\! \left(x \right)
F_{324}\! \left(x \right) = F_{25}\! \left(x \right) F_{311}\! \left(x \right)
F_{325}\! \left(x \right) = F_{165}\! \left(x \right) F_{61}\! \left(x \right)
F_{326}\! \left(x \right) = F_{165}\! \left(x \right) F_{309}\! \left(x \right)
F_{327}\! \left(x \right) = \frac{F_{328}\! \left(x \right)}{F_{25}\! \left(x \right) F_{329}\! \left(x \right)}
F_{328}\! \left(x \right) = F_{307}\! \left(x \right)
F_{329}\! \left(x \right) = F_{330}\! \left(x \right)+F_{331}\! \left(x \right)
F_{330}\! \left(x \right) = F_{31}\! \left(x \right) F_{61}\! \left(x \right)
F_{331}\! \left(x \right) = -F_{334}\! \left(x \right)+F_{332}\! \left(x \right)
F_{332}\! \left(x \right) = \frac{F_{333}\! \left(x \right)}{F_{25}\! \left(x \right) F_{30}\! \left(x \right)}
F_{333}\! \left(x \right) = F_{93}\! \left(x \right)
F_{334}\! \left(x \right) = F_{31}\! \left(x \right) F_{92}\! \left(x \right)
F_{335}\! \left(x \right) = F_{165}\! \left(x \right) F_{336}\! \left(x \right)
F_{336}\! \left(x \right) = -F_{339}\! \left(x \right)+F_{337}\! \left(x \right)
F_{337}\! \left(x \right) = \frac{F_{338}\! \left(x \right)}{F_{25}\! \left(x \right) F_{5}\! \left(x \right)}
F_{338}\! \left(x \right) = F_{93}\! \left(x \right)
F_{339}\! \left(x \right) = F_{340}\! \left(x \right)
F_{340}\! \left(x \right) = F_{25}\! \left(x \right) F_{341}\! \left(x \right)
F_{341}\! \left(x \right) = \frac{F_{342}\! \left(x \right)}{F_{122}\! \left(x \right) F_{25}\! \left(x \right)}
F_{342}\! \left(x \right) = F_{110}\! \left(x \right)
F_{343}\! \left(x \right) = F_{344}\! \left(x \right)+F_{346}\! \left(x \right)
F_{344}\! \left(x \right) = -F_{305}\! \left(x \right)+F_{345}\! \left(x \right)
F_{345}\! \left(x \right) = F_{153}\! \left(x \right)+F_{42}\! \left(x \right)
F_{346}\! \left(x \right) = F_{347}\! \left(x \right)
F_{347}\! \left(x \right) = -F_{335}\! \left(x \right)+F_{348}\! \left(x \right)
F_{348}\! \left(x \right) = F_{349}\! \left(x \right)+F_{350}\! \left(x \right)
F_{349}\! \left(x \right) = F_{165}\! \left(x \right) F_{2}\! \left(x \right) F_{31}\! \left(x \right)
F_{350}\! \left(x \right) = -F_{356}\! \left(x \right)+F_{351}\! \left(x \right)
F_{351}\! \left(x \right) = \frac{F_{352}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{352}\! \left(x \right) = F_{353}\! \left(x \right)
F_{353}\! \left(x \right) = -F_{354}\! \left(x \right)+F_{267}\! \left(x \right)
F_{354}\! \left(x \right) = F_{355}\! \left(x \right)
F_{355}\! \left(x \right) = F_{0}\! \left(x \right) F_{165}\! \left(x \right) F_{25}\! \left(x \right) F_{54}\! \left(x \right)
F_{356}\! \left(x \right) = F_{0}\! \left(x \right) F_{165}\! \left(x \right) F_{357}\! \left(x \right)
F_{357}\! \left(x \right) = \frac{F_{358}\! \left(x \right)}{F_{0}\! \left(x \right) F_{5}\! \left(x \right)}
F_{358}\! \left(x \right) = -F_{361}\! \left(x \right)+F_{359}\! \left(x \right)
F_{359}\! \left(x \right) = \frac{F_{360}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{360}\! \left(x \right) = F_{268}\! \left(x \right)
F_{361}\! \left(x \right) = -F_{365}\! \left(x \right)+F_{362}\! \left(x \right)
F_{362}\! \left(x \right) = \frac{F_{363}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{363}\! \left(x \right) = F_{364}\! \left(x \right)
F_{364}\! \left(x \right) = -F_{264}\! \left(x \right)+F_{47}\! \left(x \right)
F_{365}\! \left(x \right) = F_{366}\! \left(x \right)
F_{366}\! \left(x \right) = F_{0}\! \left(x \right) F_{25}\! \left(x \right) F_{367}\! \left(x \right) F_{5}\! \left(x \right)
F_{367}\! \left(x \right) = \frac{F_{368}\! \left(x \right)}{F_{122}\! \left(x \right) F_{25}\! \left(x \right)}
F_{368}\! \left(x \right) = F_{369}\! \left(x \right)
F_{369}\! \left(x \right) = \frac{F_{370}\! \left(x \right)}{F_{0}\! \left(x \right)}
F_{370}\! \left(x \right) = F_{371}\! \left(x \right)
F_{371}\! \left(x \right) = -F_{374}\! \left(x \right)+F_{372}\! \left(x \right)
F_{372}\! \left(x \right) = \frac{F_{373}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{373}\! \left(x \right) = F_{364}\! \left(x \right)
F_{374}\! \left(x \right) = F_{375}\! \left(x \right)
F_{375}\! \left(x \right) = F_{116}\! \left(x \right) F_{25}\! \left(x \right) F_{37}\! \left(x \right)
F_{376}\! \left(x \right) = F_{264}\! \left(x \right)+F_{377}\! \left(x \right)
F_{377}\! \left(x \right) = F_{378}\! \left(x \right)
F_{378}\! \left(x \right) = F_{25}\! \left(x \right) F_{379}\! \left(x \right)
F_{379}\! \left(x \right) = F_{380}\! \left(x \right)
F_{380}\! \left(x \right) = F_{162}\! \left(x \right) F_{246}\! \left(x \right) F_{25}\! \left(x \right) F_{30}\! \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_25(x)*F_4(x))
Eq(F_4(x), F_5(x) + F_6(x))
Eq(F_5(x), x*(x - 2)*F_5(x)**2 + (x + 2)*F_5(x) - 1)
Eq(F_6(x), F_2(x) + F_7(x))
Eq(F_7(x), F_8(x))
Eq(F_8(x), F_25(x)*F_9(x))
Eq(F_9(x), F_10(x) + F_376(x))
Eq(F_10(x), F_11(x) + F_300(x))
Eq(F_11(x), F_12(x) + F_2(x))
Eq(F_12(x), F_13(x))
Eq(F_13(x), F_14(x)*F_25(x))
Eq(F_14(x), F_15(x) + F_34(x))
Eq(F_15(x), F_16(x)*F_2(x))
Eq(F_16(x), F_17(x) + F_5(x))
Eq(F_17(x), F_18(x))
Eq(F_18(x), F_19(x)*F_25(x)*F_31(x))
Eq(F_19(x), F_20(x) + F_5(x))
Eq(F_20(x), F_21(x))
Eq(F_21(x), F_22(x)*F_25(x)*F_26(x))
Eq(F_22(x), F_1(x) + F_23(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_22(x)*F_25(x))
Eq(F_25(x), x)
Eq(F_26(x), F_27(x)/(F_22(x)*F_25(x)))
Eq(F_27(x), F_28(x))
Eq(F_28(x), F_29(x))
Eq(F_29(x), F_25(x)*F_30(x)*F_31(x))
Eq(F_30(x), F_28(x) + F_5(x))
Eq(F_31(x), F_22(x) + F_32(x))
Eq(F_32(x), F_33(x))
Eq(F_33(x), F_25(x)*F_31(x)**2)
Eq(F_34(x), F_35(x))
Eq(F_35(x), F_25(x)*F_36(x))
Eq(F_36(x), F_37(x) + F_52(x))
Eq(F_37(x), F_38(x) + F_50(x))
Eq(F_38(x), F_39(x)/F_25(x))
Eq(F_39(x), F_40(x))
Eq(F_40(x), F_41(x))
Eq(F_41(x), F_25(x)*F_42(x))
Eq(F_42(x), F_43(x) + F_47(x))
Eq(F_43(x), F_30(x) + F_44(x))
Eq(F_44(x), F_45(x) + F_6(x))
Eq(F_45(x), F_46(x))
Eq(F_46(x), F_2(x)*F_22(x)*F_25(x)*F_26(x))
Eq(F_47(x), -F_44(x) + F_48(x))
Eq(F_48(x), F_49(x)/F_25(x))
Eq(F_49(x), F_7(x))
Eq(F_50(x), F_51(x))
Eq(F_51(x), F_25(x)*F_36(x))
Eq(F_52(x), F_53(x))
Eq(F_53(x), F_0(x)*F_17(x)*F_54(x))
Eq(F_54(x), F_55(x)/(F_0(x)*F_25(x)*F_5(x)))
Eq(F_55(x), F_56(x))
Eq(F_56(x), -F_4(x) + F_57(x))
Eq(F_57(x), -F_263(x) + F_58(x))
Eq(F_58(x), F_129(x) + F_59(x))
Eq(F_59(x), F_123(x) + F_60(x))
Eq(F_60(x), F_61(x) + F_62(x))
Eq(F_61(x), x**2 + 8*x + (x**2 + 4*x - 1)*F_61(x)**2 + (2*x**2 - 13*x + 4)*F_61(x) - 2)
Eq(F_62(x), F_63(x))
Eq(F_63(x), F_25(x)*F_64(x))
Eq(F_64(x), F_65(x)/F_25(x))
Eq(F_65(x), F_66(x))
Eq(F_66(x), -F_61(x) + F_67(x))
Eq(F_67(x), F_68(x) + F_81(x))
Eq(F_68(x), F_1(x) + F_69(x))
Eq(F_69(x), F_70(x))
Eq(F_70(x), F_25(x)*F_71(x))
Eq(F_71(x), F_72(x) + F_73(x))
Eq(F_72(x), F_1(x) + F_25(x))
Eq(F_73(x), F_69(x) + F_74(x))
Eq(F_74(x), F_75(x) + F_76(x) + F_80(x))
Eq(F_75(x), 0)
Eq(F_76(x), F_25(x)*F_77(x))
Eq(F_77(x), F_78(x) + F_79(x))
Eq(F_78(x), F_25(x))
Eq(F_79(x), F_74(x))
Eq(F_80(x), F_25(x)*F_69(x))
Eq(F_81(x), F_82(x))
Eq(F_82(x), F_25(x)*F_83(x))
Eq(F_83(x), F_84(x)/F_25(x))
Eq(F_84(x), F_85(x))
Eq(F_85(x), -F_68(x) + F_86(x))
Eq(F_86(x), F_87(x)/F_122(x))
Eq(F_87(x), -F_110(x) + F_88(x))
Eq(F_88(x), F_89(x)/F_25(x))
Eq(F_89(x), F_90(x))
Eq(F_90(x), F_91(x) + F_93(x))
Eq(F_91(x), F_5(x)*F_92(x))
Eq(F_92(x), x**2 + 8*x + (F_92(x) + 1)**2*(x**2 + 4*x - 1) + (F_92(x) + 1)*(2*x**2 - 13*x + 3) + F_92(x) - 2)
Eq(F_93(x), F_94(x))
Eq(F_94(x), F_25(x)*F_95(x))
Eq(F_95(x), F_96(x) + F_97(x))
Eq(F_96(x), F_28(x)*F_67(x))
Eq(F_97(x), F_98(x))
Eq(F_98(x), F_25(x)*F_31(x)*F_99(x))
Eq(F_99(x), F_100(x)/F_25(x))
Eq(F_100(x), F_101(x))
Eq(F_101(x), F_102(x) + F_103(x))
Eq(F_102(x), F_26(x)*F_92(x))
Eq(F_103(x), F_104(x)*F_107(x))
Eq(F_104(x), -F_101(x) + F_105(x))
Eq(F_105(x), F_106(x)/(F_22(x)*F_25(x)))
Eq(F_106(x), F_93(x))
Eq(F_107(x), F_108(x))
Eq(F_108(x), F_109(x)**2*F_25(x))
Eq(F_109(x), F_1(x) + F_107(x))
Eq(F_110(x), F_111(x) - F_113(x))
Eq(F_111(x), F_112(x)/F_25(x))
Eq(F_112(x), F_93(x))
Eq(F_113(x), F_114(x)*F_86(x))
Eq(F_114(x), F_115(x))
Eq(F_115(x), F_116(x)*F_25(x)*F_5(x))
Eq(F_116(x), F_117(x) + F_22(x))
Eq(F_117(x), F_118(x) + F_23(x))
Eq(F_118(x), F_119(x) + F_121(x) + F_75(x))
Eq(F_119(x), F_120(x)*F_25(x))
Eq(F_120(x), F_118(x) + F_23(x))
Eq(F_121(x), F_117(x)*F_25(x))
Eq(F_122(x), F_114(x) + F_5(x))
Eq(F_123(x), F_124(x) - F_129(x))
Eq(F_124(x), F_125(x)/F_25(x))
Eq(F_125(x), F_126(x))
Eq(F_126(x), F_127(x) - F_2(x))
Eq(F_127(x), F_128(x) - F_61(x))
Eq(F_128(x), F_0(x) + F_40(x))
Eq(F_129(x), F_130(x))
Eq(F_130(x), F_131(x)*F_25(x))
Eq(F_131(x), F_132(x)/F_25(x))
Eq(F_132(x), F_133(x))
Eq(F_133(x), F_134(x) + F_40(x))
Eq(F_134(x), F_135(x))
Eq(F_135(x), F_136(x)*F_25(x))
Eq(F_136(x), F_137(x) + F_148(x))
Eq(F_137(x), F_138(x))
Eq(F_138(x), F_139(x)*F_25(x))
Eq(F_139(x), F_140(x)/F_25(x))
Eq(F_140(x), F_141(x))
Eq(F_141(x), F_142(x) - F_144(x))
Eq(F_142(x), F_143(x)/F_25(x))
Eq(F_143(x), F_7(x))
Eq(F_144(x), F_145(x))
Eq(F_145(x), F_146(x)*F_25(x))
Eq(F_146(x), F_147(x)/F_25(x))
Eq(F_147(x), F_10(x))
Eq(F_148(x), F_149(x))
Eq(F_149(x), F_150(x)*F_25(x))
Eq(F_150(x), F_151(x) + F_166(x))
Eq(F_151(x), F_152(x)/F_25(x))
Eq(F_152(x), F_153(x))
Eq(F_153(x), F_154(x)/F_25(x))
Eq(F_154(x), F_155(x))
Eq(F_155(x), F_156(x) - F_164(x))
Eq(F_156(x), F_157(x))
Eq(F_157(x), F_158(x)*F_25(x))
Eq(F_158(x), F_159(x) + F_161(x))
Eq(F_159(x), F_160(x) + F_59(x))
Eq(F_160(x), F_156(x))
Eq(F_161(x), F_162(x)*F_17(x))
Eq(F_162(x), F_163(x)/(F_22(x)*F_25(x)*F_5(x)))
Eq(F_163(x), F_56(x))
Eq(F_164(x), F_12(x) + F_165(x))
Eq(F_165(x), x*(x - 2)*(F_165(x) + 1)**2 + (x + 1)*(F_165(x) + 1) + F_165(x) - 1)
Eq(F_166(x), F_167(x)*F_258(x))
Eq(F_167(x), F_168(x))
Eq(F_168(x), F_169(x)*F_25(x))
Eq(F_169(x), F_170(x)/F_25(x))
Eq(F_170(x), F_171(x))
Eq(F_171(x), F_172(x)/F_193(x))
Eq(F_172(x), F_173(x) - F_257(x))
Eq(F_173(x), F_174(x)/F_25(x))
Eq(F_174(x), F_175(x))
Eq(F_175(x), F_176(x) - F_256(x))
Eq(F_176(x), F_177(x))
Eq(F_177(x), F_178(x)*F_25(x))
Eq(F_178(x), F_179(x) + F_191(x))
Eq(F_179(x), F_180(x) + F_189(x))
Eq(F_180(x), F_181(x)*F_5(x))
Eq(F_181(x), F_0(x) + F_182(x))
Eq(F_182(x), F_183(x))
Eq(F_183(x), F_184(x)*F_25(x))
Eq(F_184(x), F_185(x)/F_25(x))
Eq(F_185(x), F_186(x))
Eq(F_186(x), -F_0(x) + F_187(x))
Eq(F_187(x), F_188(x)/F_25(x))
Eq(F_188(x), F_2(x))
Eq(F_189(x), F_190(x))
Eq(F_190(x), F_178(x)*F_25(x)*F_31(x))
Eq(F_191(x), F_192(x))
Eq(F_192(x), F_193(x)*F_239(x)*F_25(x))
Eq(F_193(x), F_194(x)/F_165(x))
Eq(F_194(x), F_195(x) - F_237(x))
Eq(F_195(x), F_196(x)/F_25(x))
Eq(F_196(x), F_197(x))
Eq(F_197(x), F_198(x)*F_25(x))
Eq(F_198(x), F_199(x) + F_231(x))
Eq(F_199(x), F_200(x) + F_229(x))
Eq(F_200(x), F_201(x)*F_5(x))
Eq(F_201(x), F_202(x))
Eq(F_202(x), F_203(x)*F_25(x))
Eq(F_203(x), F_204(x) + F_205(x))
Eq(F_204(x), F_0(x)*F_22(x))
Eq(F_205(x), F_206(x))
Eq(F_206(x), F_116(x)*F_207(x)*F_208(x)*F_25(x))
Eq(F_207(x), F_0(x) + F_201(x))
Eq(F_208(x), F_209(x) + F_68(x))
Eq(F_209(x), F_210(x) + F_23(x))
Eq(F_210(x), F_211(x) + F_213(x) + F_75(x))
Eq(F_211(x), F_212(x)*F_25(x))
Eq(F_212(x), F_210(x) + F_69(x))
Eq(F_213(x), F_214(x)*F_25(x))
Eq(F_214(x), F_215(x) + F_220(x))
Eq(F_215(x), F_216(x) + F_23(x))
Eq(F_216(x), F_217(x) + F_219(x) + F_75(x))
Eq(F_217(x), F_218(x)*F_25(x))
Eq(F_218(x), F_216(x) + F_25(x))
Eq(F_219(x), F_23(x)*F_25(x))
Eq(F_220(x), F_210(x) + F_221(x))
Eq(F_221(x), F_222(x) + F_224(x) + F_228(x) + F_75(x))
Eq(F_222(x), F_223(x)*F_25(x))
Eq(F_223(x), F_221(x) + F_74(x))
Eq(F_224(x), F_225(x)*F_25(x))
Eq(F_225(x), F_226(x) + F_227(x))
Eq(F_226(x), F_216(x))
Eq(F_227(x), F_221(x))
Eq(F_228(x), F_210(x)*F_25(x))
Eq(F_229(x), F_230(x))
Eq(F_230(x), F_198(x)*F_25(x)*F_31(x))
Eq(F_231(x), F_232(x))
Eq(F_232(x), F_22(x)*F_233(x)*F_25(x))
Eq(F_233(x), F_231(x) + F_234(x))
Eq(F_234(x), F_199(x) + F_235(x))
Eq(F_235(x), F_236(x)/F_25(x))
Eq(F_236(x), F_186(x))
Eq(F_237(x), F_238(x))
Eq(F_238(x), F_233(x)*F_25(x)*F_31(x))
Eq(F_239(x), F_240(x) + F_241(x))
Eq(F_240(x), F_171(x) + F_5(x))
Eq(F_241(x), F_242(x)/F_25(x))
Eq(F_242(x), F_243(x))
Eq(F_243(x), F_19(x)*F_244(x)*F_25(x))
Eq(F_244(x), F_245(x))
Eq(F_245(x), F_246(x)*F_25(x))
Eq(F_246(x), F_247(x) + F_248(x))
Eq(F_247(x), F_22(x)*F_31(x))
Eq(F_248(x), F_249(x))
Eq(F_249(x), F_25(x)*F_250(x)*F_31(x))
Eq(F_250(x), F_251(x)/(F_25(x)*F_30(x)))
Eq(F_251(x), F_252(x))
Eq(F_252(x), F_169(x) - F_253(x))
Eq(F_253(x), F_240(x) + F_254(x))
Eq(F_254(x), F_255(x))
Eq(F_255(x), F_25(x)*F_253(x)*F_31(x))
Eq(F_256(x), F_0(x)*F_165(x))
Eq(F_257(x), F_165(x)*F_184(x))
Eq(F_258(x), F_259(x) + F_261(x))
Eq(F_259(x), F_260(x)/(F_25(x)*F_5(x)))
Eq(F_260(x), F_56(x))
Eq(F_261(x), F_262(x))
Eq(F_262(x), F_25(x)*F_258(x)*F_31(x))
Eq(F_263(x), F_264(x) + F_268(x))
Eq(F_264(x), F_265(x) - F_4(x))
Eq(F_265(x), F_128(x) + F_266(x))
Eq(F_266(x), F_129(x) - F_267(x))
Eq(F_267(x), F_155(x))
Eq(F_268(x), F_269(x))
Eq(F_269(x), F_25(x)*F_270(x))
Eq(F_270(x), F_271(x) + F_279(x))
Eq(F_271(x), F_272(x))
Eq(F_272(x), F_22(x)*F_25(x)*F_273(x))
Eq(F_273(x), F_274(x) + F_58(x))
Eq(F_274(x), F_275(x))
Eq(F_275(x), F_25(x)*F_276(x))
Eq(F_276(x), F_273(x) + F_277(x))
Eq(F_277(x), F_278(x))
Eq(F_278(x), F_162(x)*F_17(x)*F_22(x))
Eq(F_279(x), F_280(x))
Eq(F_280(x), F_25(x)*F_281(x))
Eq(F_281(x), F_282(x) + F_299(x))
Eq(F_282(x), F_22(x)*F_283(x))
Eq(F_283(x), F_284(x) - F_293(x))
Eq(F_284(x), F_285(x)/F_25(x))
Eq(F_285(x), F_286(x))
Eq(F_286(x), F_287(x) - F_289(x))
Eq(F_287(x), F_288(x)/F_25(x))
Eq(F_288(x), F_134(x))
Eq(F_289(x), F_290(x))
Eq(F_290(x), F_25(x)*F_291(x))
Eq(F_291(x), F_292(x)/F_25(x))
Eq(F_292(x), F_264(x))
Eq(F_293(x), F_294(x)*F_296(x))
Eq(F_294(x), F_295(x))
Eq(F_295(x), F_240(x)*F_25(x))
Eq(F_296(x), F_297(x)/(F_25(x)*F_5(x)))
Eq(F_297(x), F_298(x))
Eq(F_298(x), F_25(x)*F_259(x)*F_26(x))
Eq(F_299(x), F_218(x)*F_296(x)*F_5(x))
Eq(F_300(x), F_301(x))
Eq(F_301(x), F_25(x)*F_302(x))
Eq(F_302(x), F_303(x) + F_343(x))
Eq(F_303(x), F_304(x) + F_335(x))
Eq(F_304(x), F_305(x) - F_327(x))
Eq(F_305(x), F_306(x) + F_307(x))
Eq(F_306(x), F_16(x)*F_61(x))
Eq(F_307(x), F_308(x))
Eq(F_308(x), F_16(x)*F_25(x)*F_309(x))
Eq(F_309(x), F_310(x) + F_314(x))
Eq(F_310(x), F_311(x))
Eq(F_311(x), F_312(x)/F_25(x))
Eq(F_312(x), F_313(x))
Eq(F_313(x), F_60(x) - F_61(x))
Eq(F_314(x), F_315(x) - F_326(x))
Eq(F_315(x), F_316(x)/F_25(x))
Eq(F_316(x), F_317(x))
Eq(F_317(x), F_318(x) - F_325(x))
Eq(F_318(x), F_319(x) + F_320(x))
Eq(F_319(x), -F_109(x) + F_30(x))
Eq(F_320(x), -F_321(x) + F_90(x))
Eq(F_321(x), -F_109(x) + F_322(x))
Eq(F_322(x), F_323(x) + F_61(x))
Eq(F_323(x), F_324(x))
Eq(F_324(x), F_25(x)*F_311(x))
Eq(F_325(x), F_165(x)*F_61(x))
Eq(F_326(x), F_165(x)*F_309(x))
Eq(F_327(x), F_328(x)/(F_25(x)*F_329(x)))
Eq(F_328(x), F_307(x))
Eq(F_329(x), F_330(x) + F_331(x))
Eq(F_330(x), F_31(x)*F_61(x))
Eq(F_331(x), F_332(x) - F_334(x))
Eq(F_332(x), F_333(x)/(F_25(x)*F_30(x)))
Eq(F_333(x), F_93(x))
Eq(F_334(x), F_31(x)*F_92(x))
Eq(F_335(x), F_165(x)*F_336(x))
Eq(F_336(x), F_337(x) - F_339(x))
Eq(F_337(x), F_338(x)/(F_25(x)*F_5(x)))
Eq(F_338(x), F_93(x))
Eq(F_339(x), F_340(x))
Eq(F_340(x), F_25(x)*F_341(x))
Eq(F_341(x), F_342(x)/(F_122(x)*F_25(x)))
Eq(F_342(x), F_110(x))
Eq(F_343(x), F_344(x) + F_346(x))
Eq(F_344(x), -F_305(x) + F_345(x))
Eq(F_345(x), F_153(x) + F_42(x))
Eq(F_346(x), F_347(x))
Eq(F_347(x), -F_335(x) + F_348(x))
Eq(F_348(x), F_349(x) + F_350(x))
Eq(F_349(x), F_165(x)*F_2(x)*F_31(x))
Eq(F_350(x), F_351(x) - F_356(x))
Eq(F_351(x), F_352(x)/F_25(x))
Eq(F_352(x), F_353(x))
Eq(F_353(x), F_267(x) - F_354(x))
Eq(F_354(x), F_355(x))
Eq(F_355(x), F_0(x)*F_165(x)*F_25(x)*F_54(x))
Eq(F_356(x), F_0(x)*F_165(x)*F_357(x))
Eq(F_357(x), F_358(x)/(F_0(x)*F_5(x)))
Eq(F_358(x), F_359(x) - F_361(x))
Eq(F_359(x), F_360(x)/F_25(x))
Eq(F_360(x), F_268(x))
Eq(F_361(x), F_362(x) - F_365(x))
Eq(F_362(x), F_363(x)/F_25(x))
Eq(F_363(x), F_364(x))
Eq(F_364(x), -F_264(x) + F_47(x))
Eq(F_365(x), F_366(x))
Eq(F_366(x), F_0(x)*F_25(x)*F_367(x)*F_5(x))
Eq(F_367(x), F_368(x)/(F_122(x)*F_25(x)))
Eq(F_368(x), F_369(x))
Eq(F_369(x), F_370(x)/F_0(x))
Eq(F_370(x), F_371(x))
Eq(F_371(x), F_372(x) - F_374(x))
Eq(F_372(x), F_373(x)/F_25(x))
Eq(F_373(x), F_364(x))
Eq(F_374(x), F_375(x))
Eq(F_375(x), F_116(x)*F_25(x)*F_37(x))
Eq(F_376(x), F_264(x) + F_377(x))
Eq(F_377(x), F_378(x))
Eq(F_378(x), F_25(x)*F_379(x))
Eq(F_379(x), F_380(x))
Eq(F_380(x), F_162(x)*F_246(x)*F_25(x)*F_30(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"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.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": 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, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [2, 0, 3, 1, 4], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [2, 3, 0, 1, 4], [2, 3, 0, 4, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [2, 0, 3, 1, 4], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [2, 3, 0, 1, 4], [2, 3, 0, 4, 1]], "symmetry": 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": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "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], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 2, 0, 3], "pos": [[0, 2], [0, 2], [0, 0], [0, 2]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 2]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 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"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": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 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, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [2, 0, 3, 1, 4], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [2, 3, 0, 1, 4], [2, 3, 0, 4, 1]], "symmetry": false}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 2, 0, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 2, 0], "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, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [2, 0, 3, 1, 4], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [2, 3, 0, 1, 4], [2, 3, 0, 4, 1]], 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0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 2, 0], "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, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [2, 0, 3, 1, 4], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [2, 3, 0, 1, 4], [2, 3, 0, 4, 1]], "symmetry": false}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 3
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/25845/
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[22,x]*F[4,x]
F[4,x] = F[5,x]+F[6,x]
F[5,x] = -1+(x^2-2*x)*F[5,x]^2+(2+x)*F[5,x]
F[6,x] = F[2,x]+F[7,x]
F[7,x] = F[8,x]
F[8,x] = F[22,x]*F[9,x]
F[9,x] = F[10,x]+F[383,x]
F[10,x] = F[11,x]+F[305,x]
F[11,x] = F[12,x]+F[2,x]
F[12,x] = F[13,x]
F[13,x] = F[14,x]*F[22,x]
F[14,x] = F[15,x]+F[27,x]
F[15,x] = F[16,x]*F[2,x]
F[16,x] = 1/F[26,x]*F[17,x]
F[17,x] = -F[23,x]+F[18,x]
F[18,x] = 1/F[22,x]*F[19,x]
F[19,x] = F[20,x]
F[20,x] = F[21,x]+F[7,x]
F[21,x] = (x*F[21,x]+x-2*F[21,x])*(x*F[21,x]+x-1)
F[22,x] = x
F[23,x] = -F[24,x]+F[9,x]
F[24,x] = F[16,x]*F[25,x]
F[25,x] = (x^2+4*x-1)*F[25,x]^2+(4*x^2-5*x+2)*F[25,x]+4*x^2-x
F[26,x] = -2+x^2+8*x+F[26,x]^2*(x^2+4*x-1)+(2*x^2-13*x+4)*F[26,x]
F[27,x] = F[28,x]
F[28,x] = F[22,x]*F[29,x]
F[29,x] = F[30,x]+F[56,x]
F[30,x] = F[31,x]+F[54,x]
F[31,x] = 1/F[22,x]*F[32,x]
F[32,x] = F[33,x]
F[33,x] = F[34,x]
F[34,x] = F[22,x]*F[35,x]
F[35,x] = F[36,x]+F[51,x]
F[36,x] = F[37,x]+F[46,x]
F[37,x] = F[38,x]+F[5,x]
F[38,x] = F[39,x]
F[39,x] = F[22,x]*F[37,x]*F[40,x]
F[40,x] = F[41,x]+F[44,x]
F[41,x] = F[1,x]+F[42,x]
F[42,x] = F[43,x]
F[43,x] = F[22,x]*F[41,x]
F[44,x] = F[45,x]
F[45,x] = F[40,x]^2*F[22,x]
F[46,x] = F[47,x]+F[6,x]
F[47,x] = F[48,x]
F[48,x] = F[2,x]*F[22,x]*F[41,x]*F[49,x]
F[49,x] = 1/F[22,x]/F[41,x]*F[50,x]
F[50,x] = F[38,x]
F[51,x] = -F[46,x]+F[52,x]
F[52,x] = 1/F[22,x]*F[53,x]
F[53,x] = F[7,x]
F[54,x] = F[55,x]
F[55,x] = F[22,x]*F[29,x]
F[56,x] = F[57,x]
F[57,x] = F[0,x]*F[58,x]*F[59,x]
F[58,x] = -F[5,x]+F[16,x]
F[59,x] = 1/F[0,x]/F[22,x]/F[5,x]*F[60,x]
F[60,x] = F[61,x]
F[61,x] = -F[4,x]+F[62,x]
F[62,x] = -F[267,x]+F[63,x]
F[63,x] = F[130,x]+F[64,x]
F[64,x] = F[126,x]+F[65,x]
F[65,x] = F[26,x]+F[66,x]
F[66,x] = F[67,x]
F[67,x] = F[22,x]*F[68,x]
F[68,x] = 1/F[22,x]*F[69,x]
F[69,x] = F[70,x]
F[70,x] = -F[26,x]+F[71,x]
F[71,x] = F[72,x]+F[85,x]
F[72,x] = F[1,x]+F[73,x]
F[73,x] = F[74,x]
F[74,x] = F[22,x]*F[75,x]
F[75,x] = F[76,x]+F[77,x]
F[76,x] = F[1,x]+F[22,x]
F[77,x] = F[73,x]+F[78,x]
F[78,x] = F[79,x]+F[80,x]+F[84,x]
F[79,x] = 0
F[80,x] = F[22,x]*F[81,x]
F[81,x] = F[82,x]+F[83,x]
F[82,x] = F[22,x]
F[83,x] = F[78,x]
F[84,x] = F[22,x]*F[73,x]
F[85,x] = F[86,x]
F[86,x] = F[22,x]*F[87,x]
F[87,x] = 1/F[22,x]*F[88,x]
F[88,x] = F[89,x]
F[89,x] = -F[72,x]+F[90,x]
F[90,x] = 1/F[125,x]*F[91,x]
F[91,x] = -F[113,x]+F[92,x]
F[92,x] = 1/F[22,x]*F[93,x]
F[93,x] = F[94,x]
F[94,x] = F[95,x]+F[96,x]
F[95,x] = F[25,x]*F[5,x]
F[96,x] = F[97,x]
F[97,x] = F[22,x]*F[98,x]
F[98,x] = F[100,x]+F[99,x]
F[99,x] = F[38,x]*F[71,x]
F[100,x] = F[101,x]
F[101,x] = F[102,x]*F[22,x]*F[40,x]
F[102,x] = 1/F[22,x]*F[103,x]
F[103,x] = F[104,x]
F[104,x] = F[105,x]+F[106,x]
F[105,x] = F[25,x]*F[49,x]
F[106,x] = F[107,x]*F[110,x]
F[107,x] = -F[104,x]+F[108,x]
F[108,x] = 1/F[22,x]/F[41,x]*F[109,x]
F[109,x] = F[96,x]
F[110,x] = F[111,x]
F[111,x] = F[112,x]^2*F[22,x]
F[112,x] = F[1,x]+F[110,x]
F[113,x] = -F[116,x]+F[114,x]
F[114,x] = 1/F[22,x]*F[115,x]
F[115,x] = F[96,x]
F[116,x] = F[117,x]*F[90,x]
F[117,x] = F[118,x]
F[118,x] = F[119,x]*F[22,x]*F[5,x]
F[119,x] = F[120,x]+F[41,x]
F[120,x] = F[121,x]+F[42,x]
F[121,x] = F[122,x]+F[124,x]+F[79,x]
F[122,x] = F[123,x]*F[22,x]
F[123,x] = F[121,x]+F[42,x]
F[124,x] = F[120,x]*F[22,x]
F[125,x] = F[117,x]+F[5,x]
F[126,x] = -F[130,x]+F[127,x]
F[127,x] = 1/F[22,x]*F[128,x]
F[128,x] = F[129,x]
F[129,x] = -F[25,x]+F[33,x]
F[130,x] = F[131,x]
F[131,x] = F[132,x]*F[22,x]
F[132,x] = 1/F[22,x]*F[133,x]
F[133,x] = F[134,x]
F[134,x] = F[135,x]+F[33,x]
F[135,x] = F[136,x]
F[136,x] = F[137,x]*F[22,x]
F[137,x] = F[138,x]+F[149,x]
F[138,x] = F[139,x]
F[139,x] = F[140,x]*F[22,x]
F[140,x] = 1/F[22,x]*F[141,x]
F[141,x] = F[142,x]
F[142,x] = -F[145,x]+F[143,x]
F[143,x] = 1/F[22,x]*F[144,x]
F[144,x] = F[7,x]
F[145,x] = F[146,x]
F[146,x] = F[147,x]*F[22,x]
F[147,x] = 1/F[22,x]*F[148,x]
F[148,x] = F[10,x]
F[149,x] = F[150,x]
F[150,x] = F[151,x]*F[22,x]
F[151,x] = F[152,x]+F[166,x]
F[152,x] = 1/F[22,x]*F[153,x]
F[153,x] = F[154,x]
F[154,x] = 1/F[22,x]*F[155,x]
F[155,x] = F[156,x]
F[156,x] = -F[165,x]+F[157,x]
F[157,x] = F[158,x]
F[158,x] = F[159,x]*F[22,x]
F[159,x] = F[160,x]+F[162,x]
F[160,x] = F[161,x]+F[64,x]
F[161,x] = F[157,x]
F[162,x] = F[163,x]*F[58,x]
F[163,x] = 1/F[22,x]/F[41,x]/F[5,x]*F[164,x]
F[164,x] = F[61,x]
F[165,x] = F[12,x]+F[21,x]
F[166,x] = F[167,x]*F[262,x]
F[167,x] = F[168,x]
F[168,x] = F[169,x]*F[22,x]
F[169,x] = 1/F[22,x]*F[170,x]
F[170,x] = F[171,x]
F[171,x] = 1/F[193,x]*F[172,x]
F[172,x] = -F[261,x]+F[173,x]
F[173,x] = 1/F[22,x]*F[174,x]
F[174,x] = F[175,x]
F[175,x] = -F[260,x]+F[176,x]
F[176,x] = F[177,x]
F[177,x] = F[178,x]*F[22,x]
F[178,x] = F[179,x]+F[191,x]
F[179,x] = F[180,x]+F[189,x]
F[180,x] = F[181,x]*F[5,x]
F[181,x] = F[0,x]+F[182,x]
F[182,x] = F[183,x]
F[183,x] = F[184,x]*F[22,x]
F[184,x] = 1/F[22,x]*F[185,x]
F[185,x] = F[186,x]
F[186,x] = -F[0,x]+F[187,x]
F[187,x] = 1/F[22,x]*F[188,x]
F[188,x] = F[2,x]
F[189,x] = F[190,x]
F[190,x] = F[178,x]*F[22,x]*F[40,x]
F[191,x] = F[192,x]
F[192,x] = F[193,x]*F[22,x]*F[239,x]
F[193,x] = 1/F[21,x]*F[194,x]
F[194,x] = -F[237,x]+F[195,x]
F[195,x] = 1/F[22,x]*F[196,x]
F[196,x] = F[197,x]
F[197,x] = F[198,x]*F[22,x]
F[198,x] = F[199,x]+F[231,x]
F[199,x] = F[200,x]+F[229,x]
F[200,x] = F[201,x]*F[5,x]
F[201,x] = F[202,x]
F[202,x] = F[203,x]*F[22,x]
F[203,x] = F[204,x]+F[205,x]
F[204,x] = F[0,x]*F[41,x]
F[205,x] = F[206,x]
F[206,x] = F[119,x]*F[207,x]*F[208,x]*F[22,x]
F[207,x] = F[0,x]+F[201,x]
F[208,x] = F[209,x]+F[72,x]
F[209,x] = F[210,x]+F[42,x]
F[210,x] = F[211,x]+F[213,x]+F[79,x]
F[211,x] = F[212,x]*F[22,x]
F[212,x] = F[210,x]+F[73,x]
F[213,x] = F[214,x]*F[22,x]
F[214,x] = F[215,x]+F[220,x]
F[215,x] = F[216,x]+F[42,x]
F[216,x] = F[217,x]+F[219,x]+F[79,x]
F[217,x] = F[218,x]*F[22,x]
F[218,x] = F[216,x]+F[22,x]
F[219,x] = F[22,x]*F[42,x]
F[220,x] = F[210,x]+F[221,x]
F[221,x] = F[222,x]+F[224,x]+F[228,x]+F[79,x]
F[222,x] = F[22,x]*F[223,x]
F[223,x] = F[221,x]+F[78,x]
F[224,x] = F[22,x]*F[225,x]
F[225,x] = F[226,x]+F[227,x]
F[226,x] = F[216,x]
F[227,x] = F[221,x]
F[228,x] = F[210,x]*F[22,x]
F[229,x] = F[230,x]
F[230,x] = F[198,x]*F[22,x]*F[40,x]
F[231,x] = F[232,x]
F[232,x] = F[22,x]*F[233,x]*F[41,x]
F[233,x] = F[231,x]+F[234,x]
F[234,x] = F[199,x]+F[235,x]
F[235,x] = 1/F[22,x]*F[236,x]
F[236,x] = F[186,x]
F[237,x] = F[238,x]
F[238,x] = F[22,x]*F[233,x]*F[40,x]
F[239,x] = F[240,x]+F[242,x]
F[240,x] = F[241,x]+F[5,x]
F[241,x] = F[171,x]
F[242,x] = 1/F[22,x]*F[243,x]
F[243,x] = F[244,x]
F[244,x] = F[22,x]*F[245,x]*F[248,x]
F[245,x] = F[246,x]+F[5,x]
F[246,x] = F[247,x]
F[247,x] = F[22,x]*F[41,x]*F[49,x]
F[248,x] = F[249,x]
F[249,x] = F[22,x]*F[250,x]
F[250,x] = F[251,x]+F[252,x]
F[251,x] = F[40,x]*F[41,x]
F[252,x] = F[253,x]
F[253,x] = F[22,x]*F[254,x]*F[40,x]
F[254,x] = 1/F[22,x]/F[37,x]*F[255,x]
F[255,x] = F[256,x]
F[256,x] = -F[257,x]+F[169,x]
F[257,x] = F[240,x]+F[258,x]
F[258,x] = F[259,x]
F[259,x] = F[22,x]*F[257,x]*F[40,x]
F[260,x] = F[0,x]*F[21,x]
F[261,x] = F[184,x]*F[21,x]
F[262,x] = F[263,x]+F[265,x]
F[263,x] = 1/F[22,x]/F[5,x]*F[264,x]
F[264,x] = F[61,x]
F[265,x] = F[266,x]
F[266,x] = F[22,x]*F[262,x]*F[40,x]
F[267,x] = F[268,x]+F[273,x]
F[268,x] = -F[4,x]+F[269,x]
F[269,x] = F[270,x]+F[271,x]
F[270,x] = F[0,x]+F[33,x]
F[271,x] = -F[272,x]+F[130,x]
F[272,x] = F[156,x]
F[273,x] = F[274,x]
F[274,x] = F[22,x]*F[275,x]
F[275,x] = F[276,x]+F[284,x]
F[276,x] = F[277,x]
F[277,x] = F[22,x]*F[278,x]*F[41,x]
F[278,x] = F[279,x]+F[63,x]
F[279,x] = F[280,x]
F[280,x] = F[22,x]*F[281,x]
F[281,x] = F[278,x]+F[282,x]
F[282,x] = F[283,x]
F[283,x] = F[163,x]*F[41,x]*F[58,x]
F[284,x] = F[285,x]
F[285,x] = F[22,x]*F[286,x]
F[286,x] = F[287,x]+F[304,x]
F[287,x] = F[288,x]*F[41,x]
F[288,x] = -F[298,x]+F[289,x]
F[289,x] = 1/F[22,x]*F[290,x]
F[290,x] = F[291,x]
F[291,x] = -F[294,x]+F[292,x]
F[292,x] = 1/F[22,x]*F[293,x]
F[293,x] = F[135,x]
F[294,x] = F[295,x]
F[295,x] = F[22,x]*F[296,x]
F[296,x] = 1/F[22,x]*F[297,x]
F[297,x] = F[268,x]
F[298,x] = F[299,x]*F[301,x]
F[299,x] = F[300,x]
F[300,x] = F[22,x]*F[240,x]
F[301,x] = 1/F[22,x]/F[5,x]*F[302,x]
F[302,x] = F[303,x]
F[303,x] = F[22,x]*F[263,x]*F[49,x]
F[304,x] = F[218,x]*F[301,x]*F[5,x]
F[305,x] = F[306,x]
F[306,x] = F[22,x]*F[307,x]
F[307,x] = F[308,x]+F[347,x]
F[308,x] = F[309,x]+F[339,x]
F[309,x] = -F[331,x]+F[310,x]
F[310,x] = F[17,x]+F[311,x]
F[311,x] = F[312,x]
F[312,x] = F[16,x]*F[22,x]*F[313,x]
F[313,x] = F[314,x]+F[318,x]
F[314,x] = F[315,x]
F[315,x] = 1/F[22,x]*F[316,x]
F[316,x] = F[317,x]
F[317,x] = -F[26,x]+F[65,x]
F[318,x] = -F[330,x]+F[319,x]
F[319,x] = 1/F[22,x]*F[320,x]
F[320,x] = F[321,x]
F[321,x] = -F[329,x]+F[322,x]
F[322,x] = F[323,x]+F[324,x]
F[323,x] = -F[112,x]+F[37,x]
F[324,x] = -F[325,x]+F[94,x]
F[325,x] = -F[112,x]+F[326,x]
F[326,x] = F[26,x]+F[327,x]
F[327,x] = F[328,x]
F[328,x] = F[22,x]*F[315,x]
F[329,x] = F[21,x]*F[26,x]
F[330,x] = F[21,x]*F[313,x]
F[331,x] = 1/F[22,x]/F[333,x]*F[332,x]
F[332,x] = F[311,x]
F[333,x] = F[334,x]+F[335,x]
F[334,x] = F[26,x]*F[40,x]
F[335,x] = -F[338,x]+F[336,x]
F[336,x] = 1/F[22,x]/F[37,x]*F[337,x]
F[337,x] = F[96,x]
F[338,x] = F[25,x]*F[40,x]
F[339,x] = F[21,x]*F[340,x]
F[340,x] = -F[343,x]+F[341,x]
F[341,x] = 1/F[22,x]/F[5,x]*F[342,x]
F[342,x] = F[96,x]
F[343,x] = F[344,x]
F[344,x] = F[22,x]*F[345,x]
F[345,x] = 1/F[125,x]/F[22,x]*F[346,x]
F[346,x] = F[113,x]
F[347,x] = F[348,x]+F[350,x]
F[348,x] = -F[310,x]+F[349,x]
F[349,x] = F[154,x]+F[35,x]
F[350,x] = F[351,x]
F[351,x] = -F[339,x]+F[352,x]
F[352,x] = F[353,x]+F[354,x]
F[353,x] = F[2,x]*F[21,x]*F[40,x]
F[354,x] = -F[363,x]+F[355,x]
F[355,x] = 1/F[22,x]*F[356,x]
F[356,x] = F[357,x]
F[357,x] = -F[362,x]+F[358,x]
F[358,x] = -F[359,x]+F[130,x]
F[359,x] = F[20,x]+F[360,x]
F[360,x] = F[361,x]
F[361,x] = F[0,x]*F[21,x]*F[22,x]*F[59,x]
F[362,x] = -F[33,x]+F[268,x]
F[363,x] = F[0,x]*F[21,x]*F[364,x]
F[364,x] = 1/F[0,x]/F[5,x]*F[365,x]
F[365,x] = -F[368,x]+F[366,x]
F[366,x] = 1/F[22,x]*F[367,x]
F[367,x] = F[273,x]
F[368,x] = -F[372,x]+F[369,x]
F[369,x] = 1/F[22,x]*F[370,x]
F[370,x] = F[371,x]
F[371,x] = -F[268,x]+F[51,x]
F[372,x] = F[373,x]
F[373,x] = F[0,x]*F[22,x]*F[374,x]*F[5,x]
F[374,x] = 1/F[125,x]/F[22,x]*F[375,x]
F[375,x] = F[376,x]
F[376,x] = 1/F[0,x]*F[377,x]
F[377,x] = F[378,x]
F[378,x] = -F[381,x]+F[379,x]
F[379,x] = 1/F[22,x]*F[380,x]
F[380,x] = F[371,x]
F[381,x] = F[382,x]
F[382,x] = F[119,x]*F[22,x]*F[30,x]
F[383,x] = F[268,x]+F[384,x]
F[384,x] = F[385,x]
F[385,x] = F[22,x]*F[386,x]
F[386,x] = F[387,x]
F[387,x] = F[163,x]*F[22,x]*F[250,x]*F[37,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_{22}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{5}\! \left(x \right)+F_{6}\! \left(x \right)
F_{5}\! \left(x \right) = x^{2} F_{5} \left(x \right)^{2}-2 x F_{5} \left(x \right)^{2}+F_{5}\! \left(x \right) x +2 F_{5}\! \left(x \right)-1
F_{6}\! \left(x \right) = F_{2}\! \left(x \right)+F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{22}\! \left(x \right) F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{383}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{305}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{2}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right) F_{22}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)+F_{27}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right) F_{2}\! \left(x \right)
F_{16}\! \left(x \right) = \frac{F_{17}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{17}\! \left(x \right) = -F_{23}\! \left(x \right)+F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = \frac{F_{19}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)+F_{7}\! \left(x \right)
F_{21}\! \left(x \right) = x^{2} F_{21} \left(x \right)^{2}+2 x^{2} F_{21}\! \left(x \right)-2 x F_{21} \left(x \right)^{2}+x^{2}-3 x F_{21}\! \left(x \right)-x +2 F_{21}\! \left(x \right)
F_{22}\! \left(x \right) = x
F_{23}\! \left(x \right) = -F_{24}\! \left(x \right)+F_{9}\! \left(x \right)
F_{24}\! \left(x \right) = F_{16}\! \left(x \right) F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = x^{2} F_{25} \left(x \right)^{2}+4 x^{2} F_{25}\! \left(x \right)+4 x F_{25} \left(x \right)^{2}+4 x^{2}-5 x F_{25}\! \left(x \right)-F_{25} \left(x \right)^{2}-x +2 F_{25}\! \left(x \right)
F_{26}\! \left(x \right) = x^{2} F_{26} \left(x \right)^{2}+2 x^{2} F_{26}\! \left(x \right)+4 x F_{26} \left(x \right)^{2}+x^{2}-13 x F_{26}\! \left(x \right)-F_{26} \left(x \right)^{2}+8 x +4 F_{26}\! \left(x \right)-2
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{22}\! \left(x \right) F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)+F_{56}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)+F_{54}\! \left(x \right)
F_{31}\! \left(x \right) = \frac{F_{32}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{22}\! \left(x \right) F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)+F_{51}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)+F_{46}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)+F_{5}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{22}\! \left(x \right) F_{37}\! \left(x \right) F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)+F_{44}\! \left(x \right)
F_{41}\! \left(x \right) = F_{1}\! \left(x \right)+F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{22}\! \left(x \right) F_{41}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{40} \left(x \right)^{2} F_{22}\! \left(x \right)
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)+F_{6}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{2}\! \left(x \right) F_{22}\! \left(x \right) F_{41}\! \left(x \right) F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = \frac{F_{50}\! \left(x \right)}{F_{22}\! \left(x \right) F_{41}\! \left(x \right)}
F_{50}\! \left(x \right) = F_{38}\! \left(x \right)
F_{51}\! \left(x \right) = -F_{46}\! \left(x \right)+F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = \frac{F_{53}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{53}\! \left(x \right) = F_{7}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{22}\! \left(x \right) F_{29}\! \left(x \right)
F_{56}\! \left(x \right) = F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{0}\! \left(x \right) F_{58}\! \left(x \right) F_{59}\! \left(x \right)
F_{58}\! \left(x \right) = -F_{5}\! \left(x \right)+F_{16}\! \left(x \right)
F_{59}\! \left(x \right) = \frac{F_{60}\! \left(x \right)}{F_{0}\! \left(x \right) F_{22}\! \left(x \right) F_{5}\! \left(x \right)}
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = -F_{4}\! \left(x \right)+F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = -F_{267}\! \left(x \right)+F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{130}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{126}\! \left(x \right)+F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{26}\! \left(x \right)+F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{22}\! \left(x \right) F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = \frac{F_{69}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = -F_{26}\! \left(x \right)+F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{72}\! \left(x \right)+F_{85}\! \left(x \right)
F_{72}\! \left(x \right) = F_{1}\! \left(x \right)+F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{22}\! \left(x \right) F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)+F_{77}\! \left(x \right)
F_{76}\! \left(x \right) = F_{1}\! \left(x \right)+F_{22}\! \left(x \right)
F_{77}\! \left(x \right) = F_{73}\! \left(x \right)+F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)+F_{80}\! \left(x \right)+F_{84}\! \left(x \right)
F_{79}\! \left(x \right) = 0
F_{80}\! \left(x \right) = F_{22}\! \left(x \right) F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)+F_{83}\! \left(x \right)
F_{82}\! \left(x \right) = F_{22}\! \left(x \right)
F_{83}\! \left(x \right) = F_{78}\! \left(x \right)
F_{84}\! \left(x \right) = F_{22}\! \left(x \right) F_{73}\! \left(x \right)
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{22}\! \left(x \right) F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = \frac{F_{88}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{88}\! \left(x \right) = F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = -F_{72}\! \left(x \right)+F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = \frac{F_{91}\! \left(x \right)}{F_{125}\! \left(x \right)}
F_{91}\! \left(x \right) = -F_{113}\! \left(x \right)+F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = \frac{F_{93}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{93}\! \left(x \right) = F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{95}\! \left(x \right)+F_{96}\! \left(x \right)
F_{95}\! \left(x \right) = F_{25}\! \left(x \right) F_{5}\! \left(x \right)
F_{96}\! \left(x \right) = F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{22}\! \left(x \right) F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{100}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{38}\! \left(x \right) F_{71}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right) F_{22}\! \left(x \right) F_{40}\! \left(x \right)
F_{102}\! \left(x \right) = \frac{F_{103}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)+F_{106}\! \left(x \right)
F_{105}\! \left(x \right) = F_{25}\! \left(x \right) F_{49}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right) F_{110}\! \left(x \right)
F_{107}\! \left(x \right) = -F_{104}\! \left(x \right)+F_{108}\! \left(x \right)
F_{108}\! \left(x \right) = \frac{F_{109}\! \left(x \right)}{F_{22}\! \left(x \right) F_{41}\! \left(x \right)}
F_{109}\! \left(x \right) = F_{96}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112} \left(x \right)^{2} F_{22}\! \left(x \right)
F_{112}\! \left(x \right) = F_{1}\! \left(x \right)+F_{110}\! \left(x \right)
F_{113}\! \left(x \right) = -F_{116}\! \left(x \right)+F_{114}\! \left(x \right)
F_{114}\! \left(x \right) = \frac{F_{115}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{115}\! \left(x \right) = F_{96}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right) F_{90}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right) F_{22}\! \left(x \right) F_{5}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)+F_{41}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right)+F_{42}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)+F_{124}\! \left(x \right)+F_{79}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right) F_{22}\! \left(x \right)
F_{123}\! \left(x \right) = F_{121}\! \left(x \right)+F_{42}\! \left(x \right)
F_{124}\! \left(x \right) = F_{120}\! \left(x \right) F_{22}\! \left(x \right)
F_{125}\! \left(x \right) = F_{117}\! \left(x \right)+F_{5}\! \left(x \right)
F_{126}\! \left(x \right) = -F_{130}\! \left(x \right)+F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = \frac{F_{128}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)
F_{129}\! \left(x \right) = -F_{25}\! \left(x \right)+F_{33}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right) F_{22}\! \left(x \right)
F_{132}\! \left(x \right) = \frac{F_{133}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{133}\! \left(x \right) = F_{134}\! \left(x \right)
F_{134}\! \left(x \right) = F_{135}\! \left(x \right)+F_{33}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right) F_{22}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)+F_{149}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right) F_{22}\! \left(x \right)
F_{140}\! \left(x \right) = \frac{F_{141}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)
F_{142}\! \left(x \right) = -F_{145}\! \left(x \right)+F_{143}\! \left(x \right)
F_{143}\! \left(x \right) = \frac{F_{144}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{144}\! \left(x \right) = F_{7}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right) F_{22}\! \left(x \right)
F_{147}\! \left(x \right) = \frac{F_{148}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{148}\! \left(x \right) = F_{10}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right) F_{22}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right)+F_{166}\! \left(x \right)
F_{152}\! \left(x \right) = \frac{F_{153}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{153}\! \left(x \right) = F_{154}\! \left(x \right)
F_{154}\! \left(x \right) = \frac{F_{155}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{155}\! \left(x \right) = F_{156}\! \left(x \right)
F_{156}\! \left(x \right) = -F_{165}\! \left(x \right)+F_{157}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right) F_{22}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right)+F_{162}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right)+F_{64}\! \left(x \right)
F_{161}\! \left(x \right) = F_{157}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right) F_{58}\! \left(x \right)
F_{163}\! \left(x \right) = \frac{F_{164}\! \left(x \right)}{F_{22}\! \left(x \right) F_{41}\! \left(x \right) F_{5}\! \left(x \right)}
F_{164}\! \left(x \right) = F_{61}\! \left(x \right)
F_{165}\! \left(x \right) = F_{12}\! \left(x \right)+F_{21}\! \left(x \right)
F_{166}\! \left(x \right) = F_{167}\! \left(x \right) F_{262}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right) F_{22}\! \left(x \right)
F_{169}\! \left(x \right) = \frac{F_{170}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{170}\! \left(x \right) = F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = \frac{F_{172}\! \left(x \right)}{F_{193}\! \left(x \right)}
F_{172}\! \left(x \right) = -F_{261}\! \left(x \right)+F_{173}\! \left(x \right)
F_{173}\! \left(x \right) = \frac{F_{174}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{174}\! \left(x \right) = F_{175}\! \left(x \right)
F_{175}\! \left(x \right) = -F_{260}\! \left(x \right)+F_{176}\! \left(x \right)
F_{176}\! \left(x \right) = F_{177}\! \left(x \right)
F_{177}\! \left(x \right) = F_{178}\! \left(x \right) F_{22}\! \left(x \right)
F_{178}\! \left(x \right) = F_{179}\! \left(x \right)+F_{191}\! \left(x \right)
F_{179}\! \left(x \right) = F_{180}\! \left(x \right)+F_{189}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right) F_{5}\! \left(x \right)
F_{181}\! \left(x \right) = F_{0}\! \left(x \right)+F_{182}\! \left(x \right)
F_{182}\! \left(x \right) = F_{183}\! \left(x \right)
F_{183}\! \left(x \right) = F_{184}\! \left(x \right) F_{22}\! \left(x \right)
F_{184}\! \left(x \right) = \frac{F_{185}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{185}\! \left(x \right) = F_{186}\! \left(x \right)
F_{186}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{187}\! \left(x \right)
F_{187}\! \left(x \right) = \frac{F_{188}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{188}\! \left(x \right) = F_{2}\! \left(x \right)
F_{189}\! \left(x \right) = F_{190}\! \left(x \right)
F_{190}\! \left(x \right) = F_{178}\! \left(x \right) F_{22}\! \left(x \right) F_{40}\! \left(x \right)
F_{191}\! \left(x \right) = F_{192}\! \left(x \right)
F_{192}\! \left(x \right) = F_{193}\! \left(x \right) F_{22}\! \left(x \right) F_{239}\! \left(x \right)
F_{193}\! \left(x \right) = \frac{F_{194}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{194}\! \left(x \right) = -F_{237}\! \left(x \right)+F_{195}\! \left(x \right)
F_{195}\! \left(x \right) = \frac{F_{196}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{196}\! \left(x \right) = F_{197}\! \left(x \right)
F_{197}\! \left(x \right) = F_{198}\! \left(x \right) F_{22}\! \left(x \right)
F_{198}\! \left(x \right) = F_{199}\! \left(x \right)+F_{231}\! \left(x \right)
F_{199}\! \left(x \right) = F_{200}\! \left(x \right)+F_{229}\! \left(x \right)
F_{200}\! \left(x \right) = F_{201}\! \left(x \right) F_{5}\! \left(x \right)
F_{201}\! \left(x \right) = F_{202}\! \left(x \right)
F_{202}\! \left(x \right) = F_{203}\! \left(x \right) F_{22}\! \left(x \right)
F_{203}\! \left(x \right) = F_{204}\! \left(x \right)+F_{205}\! \left(x \right)
F_{204}\! \left(x \right) = F_{0}\! \left(x \right) F_{41}\! \left(x \right)
F_{205}\! \left(x \right) = F_{206}\! \left(x \right)
F_{206}\! \left(x \right) = F_{119}\! \left(x \right) F_{207}\! \left(x \right) F_{208}\! \left(x \right) F_{22}\! \left(x \right)
F_{207}\! \left(x \right) = F_{0}\! \left(x \right)+F_{201}\! \left(x \right)
F_{208}\! \left(x \right) = F_{209}\! \left(x \right)+F_{72}\! \left(x \right)
F_{209}\! \left(x \right) = F_{210}\! \left(x \right)+F_{42}\! \left(x \right)
F_{210}\! \left(x \right) = F_{211}\! \left(x \right)+F_{213}\! \left(x \right)+F_{79}\! \left(x \right)
F_{211}\! \left(x \right) = F_{212}\! \left(x \right) F_{22}\! \left(x \right)
F_{212}\! \left(x \right) = F_{210}\! \left(x \right)+F_{73}\! \left(x \right)
F_{213}\! \left(x \right) = F_{214}\! \left(x \right) F_{22}\! \left(x \right)
F_{214}\! \left(x \right) = F_{215}\! \left(x \right)+F_{220}\! \left(x \right)
F_{215}\! \left(x \right) = F_{216}\! \left(x \right)+F_{42}\! \left(x \right)
F_{216}\! \left(x \right) = F_{217}\! \left(x \right)+F_{219}\! \left(x \right)+F_{79}\! \left(x \right)
F_{217}\! \left(x \right) = F_{218}\! \left(x \right) F_{22}\! \left(x \right)
F_{218}\! \left(x \right) = F_{216}\! \left(x \right)+F_{22}\! \left(x \right)
F_{219}\! \left(x \right) = F_{22}\! \left(x \right) F_{42}\! \left(x \right)
F_{220}\! \left(x \right) = F_{210}\! \left(x \right)+F_{221}\! \left(x \right)
F_{221}\! \left(x \right) = F_{222}\! \left(x \right)+F_{224}\! \left(x \right)+F_{228}\! \left(x \right)+F_{79}\! \left(x \right)
F_{222}\! \left(x \right) = F_{22}\! \left(x \right) F_{223}\! \left(x \right)
F_{223}\! \left(x \right) = F_{221}\! \left(x \right)+F_{78}\! \left(x \right)
F_{224}\! \left(x \right) = F_{22}\! \left(x \right) F_{225}\! \left(x \right)
F_{225}\! \left(x \right) = F_{226}\! \left(x \right)+F_{227}\! \left(x \right)
F_{226}\! \left(x \right) = F_{216}\! \left(x \right)
F_{227}\! \left(x \right) = F_{221}\! \left(x \right)
F_{228}\! \left(x \right) = F_{210}\! \left(x \right) F_{22}\! \left(x \right)
F_{229}\! \left(x \right) = F_{230}\! \left(x \right)
F_{230}\! \left(x \right) = F_{198}\! \left(x \right) F_{22}\! \left(x \right) F_{40}\! \left(x \right)
F_{231}\! \left(x \right) = F_{232}\! \left(x \right)
F_{232}\! \left(x \right) = F_{22}\! \left(x \right) F_{233}\! \left(x \right) F_{41}\! \left(x \right)
F_{233}\! \left(x \right) = F_{231}\! \left(x \right)+F_{234}\! \left(x \right)
F_{234}\! \left(x \right) = F_{199}\! \left(x \right)+F_{235}\! \left(x \right)
F_{235}\! \left(x \right) = \frac{F_{236}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{236}\! \left(x \right) = F_{186}\! \left(x \right)
F_{237}\! \left(x \right) = F_{238}\! \left(x \right)
F_{238}\! \left(x \right) = F_{22}\! \left(x \right) F_{233}\! \left(x \right) F_{40}\! \left(x \right)
F_{239}\! \left(x \right) = F_{240}\! \left(x \right)+F_{242}\! \left(x \right)
F_{240}\! \left(x \right) = F_{241}\! \left(x \right)+F_{5}\! \left(x \right)
F_{241}\! \left(x \right) = F_{171}\! \left(x \right)
F_{242}\! \left(x \right) = \frac{F_{243}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{243}\! \left(x \right) = F_{244}\! \left(x \right)
F_{244}\! \left(x \right) = F_{22}\! \left(x \right) F_{245}\! \left(x \right) F_{248}\! \left(x \right)
F_{245}\! \left(x \right) = F_{246}\! \left(x \right)+F_{5}\! \left(x \right)
F_{246}\! \left(x \right) = F_{247}\! \left(x \right)
F_{247}\! \left(x \right) = F_{22}\! \left(x \right) F_{41}\! \left(x \right) F_{49}\! \left(x \right)
F_{248}\! \left(x \right) = F_{249}\! \left(x \right)
F_{249}\! \left(x \right) = F_{22}\! \left(x \right) F_{250}\! \left(x \right)
F_{250}\! \left(x \right) = F_{251}\! \left(x \right)+F_{252}\! \left(x \right)
F_{251}\! \left(x \right) = F_{40}\! \left(x \right) F_{41}\! \left(x \right)
F_{252}\! \left(x \right) = F_{253}\! \left(x \right)
F_{253}\! \left(x \right) = F_{22}\! \left(x \right) F_{254}\! \left(x \right) F_{40}\! \left(x \right)
F_{254}\! \left(x \right) = \frac{F_{255}\! \left(x \right)}{F_{22}\! \left(x \right) F_{37}\! \left(x \right)}
F_{255}\! \left(x \right) = F_{256}\! \left(x \right)
F_{256}\! \left(x \right) = -F_{257}\! \left(x \right)+F_{169}\! \left(x \right)
F_{257}\! \left(x \right) = F_{240}\! \left(x \right)+F_{258}\! \left(x \right)
F_{258}\! \left(x \right) = F_{259}\! \left(x \right)
F_{259}\! \left(x \right) = F_{22}\! \left(x \right) F_{257}\! \left(x \right) F_{40}\! \left(x \right)
F_{260}\! \left(x \right) = F_{0}\! \left(x \right) F_{21}\! \left(x \right)
F_{261}\! \left(x \right) = F_{184}\! \left(x \right) F_{21}\! \left(x \right)
F_{262}\! \left(x \right) = F_{263}\! \left(x \right)+F_{265}\! \left(x \right)
F_{263}\! \left(x \right) = \frac{F_{264}\! \left(x \right)}{F_{22}\! \left(x \right) F_{5}\! \left(x \right)}
F_{264}\! \left(x \right) = F_{61}\! \left(x \right)
F_{265}\! \left(x \right) = F_{266}\! \left(x \right)
F_{266}\! \left(x \right) = F_{22}\! \left(x \right) F_{262}\! \left(x \right) F_{40}\! \left(x \right)
F_{267}\! \left(x \right) = F_{268}\! \left(x \right)+F_{273}\! \left(x \right)
F_{268}\! \left(x \right) = -F_{4}\! \left(x \right)+F_{269}\! \left(x \right)
F_{269}\! \left(x \right) = F_{270}\! \left(x \right)+F_{271}\! \left(x \right)
F_{270}\! \left(x \right) = F_{0}\! \left(x \right)+F_{33}\! \left(x \right)
F_{271}\! \left(x \right) = -F_{272}\! \left(x \right)+F_{130}\! \left(x \right)
F_{272}\! \left(x \right) = F_{156}\! \left(x \right)
F_{273}\! \left(x \right) = F_{274}\! \left(x \right)
F_{274}\! \left(x \right) = F_{22}\! \left(x \right) F_{275}\! \left(x \right)
F_{275}\! \left(x \right) = F_{276}\! \left(x \right)+F_{284}\! \left(x \right)
F_{276}\! \left(x \right) = F_{277}\! \left(x \right)
F_{277}\! \left(x \right) = F_{22}\! \left(x \right) F_{278}\! \left(x \right) F_{41}\! \left(x \right)
F_{278}\! \left(x \right) = F_{279}\! \left(x \right)+F_{63}\! \left(x \right)
F_{279}\! \left(x \right) = F_{280}\! \left(x \right)
F_{280}\! \left(x \right) = F_{22}\! \left(x \right) F_{281}\! \left(x \right)
F_{281}\! \left(x \right) = F_{278}\! \left(x \right)+F_{282}\! \left(x \right)
F_{282}\! \left(x \right) = F_{283}\! \left(x \right)
F_{283}\! \left(x \right) = F_{163}\! \left(x \right) F_{41}\! \left(x \right) F_{58}\! \left(x \right)
F_{284}\! \left(x \right) = F_{285}\! \left(x \right)
F_{285}\! \left(x \right) = F_{22}\! \left(x \right) F_{286}\! \left(x \right)
F_{286}\! \left(x \right) = F_{287}\! \left(x \right)+F_{304}\! \left(x \right)
F_{287}\! \left(x \right) = F_{288}\! \left(x \right) F_{41}\! \left(x \right)
F_{288}\! \left(x \right) = -F_{298}\! \left(x \right)+F_{289}\! \left(x \right)
F_{289}\! \left(x \right) = \frac{F_{290}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{290}\! \left(x \right) = F_{291}\! \left(x \right)
F_{291}\! \left(x \right) = -F_{294}\! \left(x \right)+F_{292}\! \left(x \right)
F_{292}\! \left(x \right) = \frac{F_{293}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{293}\! \left(x \right) = F_{135}\! \left(x \right)
F_{294}\! \left(x \right) = F_{295}\! \left(x \right)
F_{295}\! \left(x \right) = F_{22}\! \left(x \right) F_{296}\! \left(x \right)
F_{296}\! \left(x \right) = \frac{F_{297}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{297}\! \left(x \right) = F_{268}\! \left(x \right)
F_{298}\! \left(x \right) = F_{299}\! \left(x \right) F_{301}\! \left(x \right)
F_{299}\! \left(x \right) = F_{300}\! \left(x \right)
F_{300}\! \left(x \right) = F_{22}\! \left(x \right) F_{240}\! \left(x \right)
F_{301}\! \left(x \right) = \frac{F_{302}\! \left(x \right)}{F_{22}\! \left(x \right) F_{5}\! \left(x \right)}
F_{302}\! \left(x \right) = F_{303}\! \left(x \right)
F_{303}\! \left(x \right) = F_{22}\! \left(x \right) F_{263}\! \left(x \right) F_{49}\! \left(x \right)
F_{304}\! \left(x \right) = F_{218}\! \left(x \right) F_{301}\! \left(x \right) F_{5}\! \left(x \right)
F_{305}\! \left(x \right) = F_{306}\! \left(x \right)
F_{306}\! \left(x \right) = F_{22}\! \left(x \right) F_{307}\! \left(x \right)
F_{307}\! \left(x \right) = F_{308}\! \left(x \right)+F_{347}\! \left(x \right)
F_{308}\! \left(x \right) = F_{309}\! \left(x \right)+F_{339}\! \left(x \right)
F_{309}\! \left(x \right) = -F_{331}\! \left(x \right)+F_{310}\! \left(x \right)
F_{310}\! \left(x \right) = F_{17}\! \left(x \right)+F_{311}\! \left(x \right)
F_{311}\! \left(x \right) = F_{312}\! \left(x \right)
F_{312}\! \left(x \right) = F_{16}\! \left(x \right) F_{22}\! \left(x \right) F_{313}\! \left(x \right)
F_{313}\! \left(x \right) = F_{314}\! \left(x \right)+F_{318}\! \left(x \right)
F_{314}\! \left(x \right) = F_{315}\! \left(x \right)
F_{315}\! \left(x \right) = \frac{F_{316}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{316}\! \left(x \right) = F_{317}\! \left(x \right)
F_{317}\! \left(x \right) = -F_{26}\! \left(x \right)+F_{65}\! \left(x \right)
F_{318}\! \left(x \right) = -F_{330}\! \left(x \right)+F_{319}\! \left(x \right)
F_{319}\! \left(x \right) = \frac{F_{320}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{320}\! \left(x \right) = F_{321}\! \left(x \right)
F_{321}\! \left(x \right) = -F_{329}\! \left(x \right)+F_{322}\! \left(x \right)
F_{322}\! \left(x \right) = F_{323}\! \left(x \right)+F_{324}\! \left(x \right)
F_{323}\! \left(x \right) = -F_{112}\! \left(x \right)+F_{37}\! \left(x \right)
F_{324}\! \left(x \right) = -F_{325}\! \left(x \right)+F_{94}\! \left(x \right)
F_{325}\! \left(x \right) = -F_{112}\! \left(x \right)+F_{326}\! \left(x \right)
F_{326}\! \left(x \right) = F_{26}\! \left(x \right)+F_{327}\! \left(x \right)
F_{327}\! \left(x \right) = F_{328}\! \left(x \right)
F_{328}\! \left(x \right) = F_{22}\! \left(x \right) F_{315}\! \left(x \right)
F_{329}\! \left(x \right) = F_{21}\! \left(x \right) F_{26}\! \left(x \right)
F_{330}\! \left(x \right) = F_{21}\! \left(x \right) F_{313}\! \left(x \right)
F_{331}\! \left(x \right) = \frac{F_{332}\! \left(x \right)}{F_{22}\! \left(x \right) F_{333}\! \left(x \right)}
F_{332}\! \left(x \right) = F_{311}\! \left(x \right)
F_{333}\! \left(x \right) = F_{334}\! \left(x \right)+F_{335}\! \left(x \right)
F_{334}\! \left(x \right) = F_{26}\! \left(x \right) F_{40}\! \left(x \right)
F_{335}\! \left(x \right) = -F_{338}\! \left(x \right)+F_{336}\! \left(x \right)
F_{336}\! \left(x \right) = \frac{F_{337}\! \left(x \right)}{F_{22}\! \left(x \right) F_{37}\! \left(x \right)}
F_{337}\! \left(x \right) = F_{96}\! \left(x \right)
F_{338}\! \left(x \right) = F_{25}\! \left(x \right) F_{40}\! \left(x \right)
F_{339}\! \left(x \right) = F_{21}\! \left(x \right) F_{340}\! \left(x \right)
F_{340}\! \left(x \right) = -F_{343}\! \left(x \right)+F_{341}\! \left(x \right)
F_{341}\! \left(x \right) = \frac{F_{342}\! \left(x \right)}{F_{22}\! \left(x \right) F_{5}\! \left(x \right)}
F_{342}\! \left(x \right) = F_{96}\! \left(x \right)
F_{343}\! \left(x \right) = F_{344}\! \left(x \right)
F_{344}\! \left(x \right) = F_{22}\! \left(x \right) F_{345}\! \left(x \right)
F_{345}\! \left(x \right) = \frac{F_{346}\! \left(x \right)}{F_{125}\! \left(x \right) F_{22}\! \left(x \right)}
F_{346}\! \left(x \right) = F_{113}\! \left(x \right)
F_{347}\! \left(x \right) = F_{348}\! \left(x \right)+F_{350}\! \left(x \right)
F_{348}\! \left(x \right) = -F_{310}\! \left(x \right)+F_{349}\! \left(x \right)
F_{349}\! \left(x \right) = F_{154}\! \left(x \right)+F_{35}\! \left(x \right)
F_{350}\! \left(x \right) = F_{351}\! \left(x \right)
F_{351}\! \left(x \right) = -F_{339}\! \left(x \right)+F_{352}\! \left(x \right)
F_{352}\! \left(x \right) = F_{353}\! \left(x \right)+F_{354}\! \left(x \right)
F_{353}\! \left(x \right) = F_{2}\! \left(x \right) F_{21}\! \left(x \right) F_{40}\! \left(x \right)
F_{354}\! \left(x \right) = -F_{363}\! \left(x \right)+F_{355}\! \left(x \right)
F_{355}\! \left(x \right) = \frac{F_{356}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{356}\! \left(x \right) = F_{357}\! \left(x \right)
F_{357}\! \left(x \right) = -F_{362}\! \left(x \right)+F_{358}\! \left(x \right)
F_{358}\! \left(x \right) = -F_{359}\! \left(x \right)+F_{130}\! \left(x \right)
F_{359}\! \left(x \right) = F_{20}\! \left(x \right)+F_{360}\! \left(x \right)
F_{360}\! \left(x \right) = F_{361}\! \left(x \right)
F_{361}\! \left(x \right) = F_{0}\! \left(x \right) F_{21}\! \left(x \right) F_{22}\! \left(x \right) F_{59}\! \left(x \right)
F_{362}\! \left(x \right) = -F_{33}\! \left(x \right)+F_{268}\! \left(x \right)
F_{363}\! \left(x \right) = F_{0}\! \left(x \right) F_{21}\! \left(x \right) F_{364}\! \left(x \right)
F_{364}\! \left(x \right) = \frac{F_{365}\! \left(x \right)}{F_{0}\! \left(x \right) F_{5}\! \left(x \right)}
F_{365}\! \left(x \right) = -F_{368}\! \left(x \right)+F_{366}\! \left(x \right)
F_{366}\! \left(x \right) = \frac{F_{367}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{367}\! \left(x \right) = F_{273}\! \left(x \right)
F_{368}\! \left(x \right) = -F_{372}\! \left(x \right)+F_{369}\! \left(x \right)
F_{369}\! \left(x \right) = \frac{F_{370}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{370}\! \left(x \right) = F_{371}\! \left(x \right)
F_{371}\! \left(x \right) = -F_{268}\! \left(x \right)+F_{51}\! \left(x \right)
F_{372}\! \left(x \right) = F_{373}\! \left(x \right)
F_{373}\! \left(x \right) = F_{0}\! \left(x \right) F_{22}\! \left(x \right) F_{374}\! \left(x \right) F_{5}\! \left(x \right)
F_{374}\! \left(x \right) = \frac{F_{375}\! \left(x \right)}{F_{125}\! \left(x \right) F_{22}\! \left(x \right)}
F_{375}\! \left(x \right) = F_{376}\! \left(x \right)
F_{376}\! \left(x \right) = \frac{F_{377}\! \left(x \right)}{F_{0}\! \left(x \right)}
F_{377}\! \left(x \right) = F_{378}\! \left(x \right)
F_{378}\! \left(x \right) = -F_{381}\! \left(x \right)+F_{379}\! \left(x \right)
F_{379}\! \left(x \right) = \frac{F_{380}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{380}\! \left(x \right) = F_{371}\! \left(x \right)
F_{381}\! \left(x \right) = F_{382}\! \left(x \right)
F_{382}\! \left(x \right) = F_{119}\! \left(x \right) F_{22}\! \left(x \right) F_{30}\! \left(x \right)
F_{383}\! \left(x \right) = F_{268}\! \left(x \right)+F_{384}\! \left(x \right)
F_{384}\! \left(x \right) = F_{385}\! \left(x \right)
F_{385}\! \left(x \right) = F_{22}\! \left(x \right) F_{386}\! \left(x \right)
F_{386}\! \left(x \right) = F_{387}\! \left(x \right)
F_{387}\! \left(x \right) = F_{163}\! \left(x \right) F_{22}\! \left(x \right) F_{250}\! \left(x \right) F_{37}\! \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_22(x)*F_4(x))
Eq(F_4(x), F_5(x) + F_6(x))
Eq(F_5(x), x*(x - 2)*F_5(x)**2 + (x + 2)*F_5(x) - 1)
Eq(F_6(x), F_2(x) + F_7(x))
Eq(F_7(x), F_8(x))
Eq(F_8(x), F_22(x)*F_9(x))
Eq(F_9(x), F_10(x) + F_383(x))
Eq(F_10(x), F_11(x) + F_305(x))
Eq(F_11(x), F_12(x) + F_2(x))
Eq(F_12(x), F_13(x))
Eq(F_13(x), F_14(x)*F_22(x))
Eq(F_14(x), F_15(x) + F_27(x))
Eq(F_15(x), F_16(x)*F_2(x))
Eq(F_16(x), F_17(x)/F_26(x))
Eq(F_17(x), F_18(x) - F_23(x))
Eq(F_18(x), F_19(x)/F_22(x))
Eq(F_19(x), F_20(x))
Eq(F_20(x), F_21(x) + F_7(x))
Eq(F_21(x), x*(x - 2)*(F_21(x) + 1)**2 + (x + 1)*(F_21(x) + 1) + F_21(x) - 1)
Eq(F_22(x), x)
Eq(F_23(x), -F_24(x) + F_9(x))
Eq(F_24(x), F_16(x)*F_25(x))
Eq(F_25(x), x**2 + 8*x + (F_25(x) + 1)**2*(x**2 + 4*x - 1) + (F_25(x) + 1)*(2*x**2 - 13*x + 3) + F_25(x) - 2)
Eq(F_26(x), x**2 + 8*x + (x**2 + 4*x - 1)*F_26(x)**2 + (2*x**2 - 13*x + 4)*F_26(x) - 2)
Eq(F_27(x), F_28(x))
Eq(F_28(x), F_22(x)*F_29(x))
Eq(F_29(x), F_30(x) + F_56(x))
Eq(F_30(x), F_31(x) + F_54(x))
Eq(F_31(x), F_32(x)/F_22(x))
Eq(F_32(x), F_33(x))
Eq(F_33(x), F_34(x))
Eq(F_34(x), F_22(x)*F_35(x))
Eq(F_35(x), F_36(x) + F_51(x))
Eq(F_36(x), F_37(x) + F_46(x))
Eq(F_37(x), F_38(x) + F_5(x))
Eq(F_38(x), F_39(x))
Eq(F_39(x), F_22(x)*F_37(x)*F_40(x))
Eq(F_40(x), F_41(x) + F_44(x))
Eq(F_41(x), F_1(x) + F_42(x))
Eq(F_42(x), F_43(x))
Eq(F_43(x), F_22(x)*F_41(x))
Eq(F_44(x), F_45(x))
Eq(F_45(x), F_22(x)*F_40(x)**2)
Eq(F_46(x), F_47(x) + F_6(x))
Eq(F_47(x), F_48(x))
Eq(F_48(x), F_2(x)*F_22(x)*F_41(x)*F_49(x))
Eq(F_49(x), F_50(x)/(F_22(x)*F_41(x)))
Eq(F_50(x), F_38(x))
Eq(F_51(x), -F_46(x) + F_52(x))
Eq(F_52(x), F_53(x)/F_22(x))
Eq(F_53(x), F_7(x))
Eq(F_54(x), F_55(x))
Eq(F_55(x), F_22(x)*F_29(x))
Eq(F_56(x), F_57(x))
Eq(F_57(x), F_0(x)*F_58(x)*F_59(x))
Eq(F_58(x), F_16(x) - F_5(x))
Eq(F_59(x), F_60(x)/(F_0(x)*F_22(x)*F_5(x)))
Eq(F_60(x), F_61(x))
Eq(F_61(x), -F_4(x) + F_62(x))
Eq(F_62(x), -F_267(x) + F_63(x))
Eq(F_63(x), F_130(x) + F_64(x))
Eq(F_64(x), F_126(x) + F_65(x))
Eq(F_65(x), F_26(x) + F_66(x))
Eq(F_66(x), F_67(x))
Eq(F_67(x), F_22(x)*F_68(x))
Eq(F_68(x), F_69(x)/F_22(x))
Eq(F_69(x), F_70(x))
Eq(F_70(x), -F_26(x) + F_71(x))
Eq(F_71(x), F_72(x) + F_85(x))
Eq(F_72(x), F_1(x) + F_73(x))
Eq(F_73(x), F_74(x))
Eq(F_74(x), F_22(x)*F_75(x))
Eq(F_75(x), F_76(x) + F_77(x))
Eq(F_76(x), F_1(x) + F_22(x))
Eq(F_77(x), F_73(x) + F_78(x))
Eq(F_78(x), F_79(x) + F_80(x) + F_84(x))
Eq(F_79(x), 0)
Eq(F_80(x), F_22(x)*F_81(x))
Eq(F_81(x), F_82(x) + F_83(x))
Eq(F_82(x), F_22(x))
Eq(F_83(x), F_78(x))
Eq(F_84(x), F_22(x)*F_73(x))
Eq(F_85(x), F_86(x))
Eq(F_86(x), F_22(x)*F_87(x))
Eq(F_87(x), F_88(x)/F_22(x))
Eq(F_88(x), F_89(x))
Eq(F_89(x), -F_72(x) + F_90(x))
Eq(F_90(x), F_91(x)/F_125(x))
Eq(F_91(x), -F_113(x) + F_92(x))
Eq(F_92(x), F_93(x)/F_22(x))
Eq(F_93(x), F_94(x))
Eq(F_94(x), F_95(x) + F_96(x))
Eq(F_95(x), F_25(x)*F_5(x))
Eq(F_96(x), F_97(x))
Eq(F_97(x), F_22(x)*F_98(x))
Eq(F_98(x), F_100(x) + F_99(x))
Eq(F_99(x), F_38(x)*F_71(x))
Eq(F_100(x), F_101(x))
Eq(F_101(x), F_102(x)*F_22(x)*F_40(x))
Eq(F_102(x), F_103(x)/F_22(x))
Eq(F_103(x), F_104(x))
Eq(F_104(x), F_105(x) + F_106(x))
Eq(F_105(x), F_25(x)*F_49(x))
Eq(F_106(x), F_107(x)*F_110(x))
Eq(F_107(x), -F_104(x) + F_108(x))
Eq(F_108(x), F_109(x)/(F_22(x)*F_41(x)))
Eq(F_109(x), F_96(x))
Eq(F_110(x), F_111(x))
Eq(F_111(x), F_112(x)**2*F_22(x))
Eq(F_112(x), F_1(x) + F_110(x))
Eq(F_113(x), F_114(x) - F_116(x))
Eq(F_114(x), F_115(x)/F_22(x))
Eq(F_115(x), F_96(x))
Eq(F_116(x), F_117(x)*F_90(x))
Eq(F_117(x), F_118(x))
Eq(F_118(x), F_119(x)*F_22(x)*F_5(x))
Eq(F_119(x), F_120(x) + F_41(x))
Eq(F_120(x), F_121(x) + F_42(x))
Eq(F_121(x), F_122(x) + F_124(x) + F_79(x))
Eq(F_122(x), F_123(x)*F_22(x))
Eq(F_123(x), F_121(x) + F_42(x))
Eq(F_124(x), F_120(x)*F_22(x))
Eq(F_125(x), F_117(x) + F_5(x))
Eq(F_126(x), F_127(x) - F_130(x))
Eq(F_127(x), F_128(x)/F_22(x))
Eq(F_128(x), F_129(x))
Eq(F_129(x), -F_25(x) + F_33(x))
Eq(F_130(x), F_131(x))
Eq(F_131(x), F_132(x)*F_22(x))
Eq(F_132(x), F_133(x)/F_22(x))
Eq(F_133(x), F_134(x))
Eq(F_134(x), F_135(x) + F_33(x))
Eq(F_135(x), F_136(x))
Eq(F_136(x), F_137(x)*F_22(x))
Eq(F_137(x), F_138(x) + F_149(x))
Eq(F_138(x), F_139(x))
Eq(F_139(x), F_140(x)*F_22(x))
Eq(F_140(x), F_141(x)/F_22(x))
Eq(F_141(x), F_142(x))
Eq(F_142(x), F_143(x) - F_145(x))
Eq(F_143(x), F_144(x)/F_22(x))
Eq(F_144(x), F_7(x))
Eq(F_145(x), F_146(x))
Eq(F_146(x), F_147(x)*F_22(x))
Eq(F_147(x), F_148(x)/F_22(x))
Eq(F_148(x), F_10(x))
Eq(F_149(x), F_150(x))
Eq(F_150(x), F_151(x)*F_22(x))
Eq(F_151(x), F_152(x) + F_166(x))
Eq(F_152(x), F_153(x)/F_22(x))
Eq(F_153(x), F_154(x))
Eq(F_154(x), F_155(x)/F_22(x))
Eq(F_155(x), F_156(x))
Eq(F_156(x), F_157(x) - F_165(x))
Eq(F_157(x), F_158(x))
Eq(F_158(x), F_159(x)*F_22(x))
Eq(F_159(x), F_160(x) + F_162(x))
Eq(F_160(x), F_161(x) + F_64(x))
Eq(F_161(x), F_157(x))
Eq(F_162(x), F_163(x)*F_58(x))
Eq(F_163(x), F_164(x)/(F_22(x)*F_41(x)*F_5(x)))
Eq(F_164(x), F_61(x))
Eq(F_165(x), F_12(x) + F_21(x))
Eq(F_166(x), F_167(x)*F_262(x))
Eq(F_167(x), F_168(x))
Eq(F_168(x), F_169(x)*F_22(x))
Eq(F_169(x), F_170(x)/F_22(x))
Eq(F_170(x), F_171(x))
Eq(F_171(x), F_172(x)/F_193(x))
Eq(F_172(x), F_173(x) - F_261(x))
Eq(F_173(x), F_174(x)/F_22(x))
Eq(F_174(x), F_175(x))
Eq(F_175(x), F_176(x) - F_260(x))
Eq(F_176(x), F_177(x))
Eq(F_177(x), F_178(x)*F_22(x))
Eq(F_178(x), F_179(x) + F_191(x))
Eq(F_179(x), F_180(x) + F_189(x))
Eq(F_180(x), F_181(x)*F_5(x))
Eq(F_181(x), F_0(x) + F_182(x))
Eq(F_182(x), F_183(x))
Eq(F_183(x), F_184(x)*F_22(x))
Eq(F_184(x), F_185(x)/F_22(x))
Eq(F_185(x), F_186(x))
Eq(F_186(x), -F_0(x) + F_187(x))
Eq(F_187(x), F_188(x)/F_22(x))
Eq(F_188(x), F_2(x))
Eq(F_189(x), F_190(x))
Eq(F_190(x), F_178(x)*F_22(x)*F_40(x))
Eq(F_191(x), F_192(x))
Eq(F_192(x), F_193(x)*F_22(x)*F_239(x))
Eq(F_193(x), F_194(x)/F_21(x))
Eq(F_194(x), F_195(x) - F_237(x))
Eq(F_195(x), F_196(x)/F_22(x))
Eq(F_196(x), F_197(x))
Eq(F_197(x), F_198(x)*F_22(x))
Eq(F_198(x), F_199(x) + F_231(x))
Eq(F_199(x), F_200(x) + F_229(x))
Eq(F_200(x), F_201(x)*F_5(x))
Eq(F_201(x), F_202(x))
Eq(F_202(x), F_203(x)*F_22(x))
Eq(F_203(x), F_204(x) + F_205(x))
Eq(F_204(x), F_0(x)*F_41(x))
Eq(F_205(x), F_206(x))
Eq(F_206(x), F_119(x)*F_207(x)*F_208(x)*F_22(x))
Eq(F_207(x), F_0(x) + F_201(x))
Eq(F_208(x), F_209(x) + F_72(x))
Eq(F_209(x), F_210(x) + F_42(x))
Eq(F_210(x), F_211(x) + F_213(x) + F_79(x))
Eq(F_211(x), F_212(x)*F_22(x))
Eq(F_212(x), F_210(x) + F_73(x))
Eq(F_213(x), F_214(x)*F_22(x))
Eq(F_214(x), F_215(x) + F_220(x))
Eq(F_215(x), F_216(x) + F_42(x))
Eq(F_216(x), F_217(x) + F_219(x) + F_79(x))
Eq(F_217(x), F_218(x)*F_22(x))
Eq(F_218(x), F_216(x) + F_22(x))
Eq(F_219(x), F_22(x)*F_42(x))
Eq(F_220(x), F_210(x) + F_221(x))
Eq(F_221(x), F_222(x) + F_224(x) + F_228(x) + F_79(x))
Eq(F_222(x), F_22(x)*F_223(x))
Eq(F_223(x), F_221(x) + F_78(x))
Eq(F_224(x), F_22(x)*F_225(x))
Eq(F_225(x), F_226(x) + F_227(x))
Eq(F_226(x), F_216(x))
Eq(F_227(x), F_221(x))
Eq(F_228(x), F_210(x)*F_22(x))
Eq(F_229(x), F_230(x))
Eq(F_230(x), F_198(x)*F_22(x)*F_40(x))
Eq(F_231(x), F_232(x))
Eq(F_232(x), F_22(x)*F_233(x)*F_41(x))
Eq(F_233(x), F_231(x) + F_234(x))
Eq(F_234(x), F_199(x) + F_235(x))
Eq(F_235(x), F_236(x)/F_22(x))
Eq(F_236(x), F_186(x))
Eq(F_237(x), F_238(x))
Eq(F_238(x), F_22(x)*F_233(x)*F_40(x))
Eq(F_239(x), F_240(x) + F_242(x))
Eq(F_240(x), F_241(x) + F_5(x))
Eq(F_241(x), F_171(x))
Eq(F_242(x), F_243(x)/F_22(x))
Eq(F_243(x), F_244(x))
Eq(F_244(x), F_22(x)*F_245(x)*F_248(x))
Eq(F_245(x), F_246(x) + F_5(x))
Eq(F_246(x), F_247(x))
Eq(F_247(x), F_22(x)*F_41(x)*F_49(x))
Eq(F_248(x), F_249(x))
Eq(F_249(x), F_22(x)*F_250(x))
Eq(F_250(x), F_251(x) + F_252(x))
Eq(F_251(x), F_40(x)*F_41(x))
Eq(F_252(x), F_253(x))
Eq(F_253(x), F_22(x)*F_254(x)*F_40(x))
Eq(F_254(x), F_255(x)/(F_22(x)*F_37(x)))
Eq(F_255(x), F_256(x))
Eq(F_256(x), F_169(x) - F_257(x))
Eq(F_257(x), F_240(x) + F_258(x))
Eq(F_258(x), F_259(x))
Eq(F_259(x), F_22(x)*F_257(x)*F_40(x))
Eq(F_260(x), F_0(x)*F_21(x))
Eq(F_261(x), F_184(x)*F_21(x))
Eq(F_262(x), F_263(x) + F_265(x))
Eq(F_263(x), F_264(x)/(F_22(x)*F_5(x)))
Eq(F_264(x), F_61(x))
Eq(F_265(x), F_266(x))
Eq(F_266(x), F_22(x)*F_262(x)*F_40(x))
Eq(F_267(x), F_268(x) + F_273(x))
Eq(F_268(x), F_269(x) - F_4(x))
Eq(F_269(x), F_270(x) + F_271(x))
Eq(F_270(x), F_0(x) + F_33(x))
Eq(F_271(x), F_130(x) - F_272(x))
Eq(F_272(x), F_156(x))
Eq(F_273(x), F_274(x))
Eq(F_274(x), F_22(x)*F_275(x))
Eq(F_275(x), F_276(x) + F_284(x))
Eq(F_276(x), F_277(x))
Eq(F_277(x), F_22(x)*F_278(x)*F_41(x))
Eq(F_278(x), F_279(x) + F_63(x))
Eq(F_279(x), F_280(x))
Eq(F_280(x), F_22(x)*F_281(x))
Eq(F_281(x), F_278(x) + F_282(x))
Eq(F_282(x), F_283(x))
Eq(F_283(x), F_163(x)*F_41(x)*F_58(x))
Eq(F_284(x), F_285(x))
Eq(F_285(x), F_22(x)*F_286(x))
Eq(F_286(x), F_287(x) + F_304(x))
Eq(F_287(x), F_288(x)*F_41(x))
Eq(F_288(x), F_289(x) - F_298(x))
Eq(F_289(x), F_290(x)/F_22(x))
Eq(F_290(x), F_291(x))
Eq(F_291(x), F_292(x) - F_294(x))
Eq(F_292(x), F_293(x)/F_22(x))
Eq(F_293(x), F_135(x))
Eq(F_294(x), F_295(x))
Eq(F_295(x), F_22(x)*F_296(x))
Eq(F_296(x), F_297(x)/F_22(x))
Eq(F_297(x), F_268(x))
Eq(F_298(x), F_299(x)*F_301(x))
Eq(F_299(x), F_300(x))
Eq(F_300(x), F_22(x)*F_240(x))
Eq(F_301(x), F_302(x)/(F_22(x)*F_5(x)))
Eq(F_302(x), F_303(x))
Eq(F_303(x), F_22(x)*F_263(x)*F_49(x))
Eq(F_304(x), F_218(x)*F_301(x)*F_5(x))
Eq(F_305(x), F_306(x))
Eq(F_306(x), F_22(x)*F_307(x))
Eq(F_307(x), F_308(x) + F_347(x))
Eq(F_308(x), F_309(x) + F_339(x))
Eq(F_309(x), F_310(x) - F_331(x))
Eq(F_310(x), F_17(x) + F_311(x))
Eq(F_311(x), F_312(x))
Eq(F_312(x), F_16(x)*F_22(x)*F_313(x))
Eq(F_313(x), F_314(x) + F_318(x))
Eq(F_314(x), F_315(x))
Eq(F_315(x), F_316(x)/F_22(x))
Eq(F_316(x), F_317(x))
Eq(F_317(x), -F_26(x) + F_65(x))
Eq(F_318(x), F_319(x) - F_330(x))
Eq(F_319(x), F_320(x)/F_22(x))
Eq(F_320(x), F_321(x))
Eq(F_321(x), F_322(x) - F_329(x))
Eq(F_322(x), F_323(x) + F_324(x))
Eq(F_323(x), -F_112(x) + F_37(x))
Eq(F_324(x), -F_325(x) + F_94(x))
Eq(F_325(x), -F_112(x) + F_326(x))
Eq(F_326(x), F_26(x) + F_327(x))
Eq(F_327(x), F_328(x))
Eq(F_328(x), F_22(x)*F_315(x))
Eq(F_329(x), F_21(x)*F_26(x))
Eq(F_330(x), F_21(x)*F_313(x))
Eq(F_331(x), F_332(x)/(F_22(x)*F_333(x)))
Eq(F_332(x), F_311(x))
Eq(F_333(x), F_334(x) + F_335(x))
Eq(F_334(x), F_26(x)*F_40(x))
Eq(F_335(x), F_336(x) - F_338(x))
Eq(F_336(x), F_337(x)/(F_22(x)*F_37(x)))
Eq(F_337(x), F_96(x))
Eq(F_338(x), F_25(x)*F_40(x))
Eq(F_339(x), F_21(x)*F_340(x))
Eq(F_340(x), F_341(x) - F_343(x))
Eq(F_341(x), F_342(x)/(F_22(x)*F_5(x)))
Eq(F_342(x), F_96(x))
Eq(F_343(x), F_344(x))
Eq(F_344(x), F_22(x)*F_345(x))
Eq(F_345(x), F_346(x)/(F_125(x)*F_22(x)))
Eq(F_346(x), F_113(x))
Eq(F_347(x), F_348(x) + F_350(x))
Eq(F_348(x), -F_310(x) + F_349(x))
Eq(F_349(x), F_154(x) + F_35(x))
Eq(F_350(x), F_351(x))
Eq(F_351(x), -F_339(x) + F_352(x))
Eq(F_352(x), F_353(x) + F_354(x))
Eq(F_353(x), F_2(x)*F_21(x)*F_40(x))
Eq(F_354(x), F_355(x) - F_363(x))
Eq(F_355(x), F_356(x)/F_22(x))
Eq(F_356(x), F_357(x))
Eq(F_357(x), F_358(x) - F_362(x))
Eq(F_358(x), F_130(x) - F_359(x))
Eq(F_359(x), F_20(x) + F_360(x))
Eq(F_360(x), F_361(x))
Eq(F_361(x), F_0(x)*F_21(x)*F_22(x)*F_59(x))
Eq(F_362(x), F_268(x) - F_33(x))
Eq(F_363(x), F_0(x)*F_21(x)*F_364(x))
Eq(F_364(x), F_365(x)/(F_0(x)*F_5(x)))
Eq(F_365(x), F_366(x) - F_368(x))
Eq(F_366(x), F_367(x)/F_22(x))
Eq(F_367(x), F_273(x))
Eq(F_368(x), F_369(x) - F_372(x))
Eq(F_369(x), F_370(x)/F_22(x))
Eq(F_370(x), F_371(x))
Eq(F_371(x), -F_268(x) + F_51(x))
Eq(F_372(x), F_373(x))
Eq(F_373(x), F_0(x)*F_22(x)*F_374(x)*F_5(x))
Eq(F_374(x), F_375(x)/(F_125(x)*F_22(x)))
Eq(F_375(x), F_376(x))
Eq(F_376(x), F_377(x)/F_0(x))
Eq(F_377(x), F_378(x))
Eq(F_378(x), F_379(x) - F_381(x))
Eq(F_379(x), F_380(x)/F_22(x))
Eq(F_380(x), F_371(x))
Eq(F_381(x), F_382(x))
Eq(F_382(x), F_119(x)*F_22(x)*F_30(x))
Eq(F_383(x), F_268(x) + F_384(x))
Eq(F_384(x), F_385(x))
Eq(F_385(x), F_22(x)*F_386(x))
Eq(F_386(x), F_387(x))
Eq(F_387(x), F_163(x)*F_22(x)*F_250(x)*F_37(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"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.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": 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, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [2, 0, 3, 1, 4], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [2, 3, 0, 1, 4], [2, 3, 0, 4, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [2, 0, 3, 1, 4], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [2, 3, 0, 1, 4], [2, 3, 0, 4, 1]], "symmetry": 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": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "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", 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1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [2, 0, 3, 1, 4], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [2, 3, 0, 1, 4], [2, 3, 0, 4, 1]], "symmetry": false}}, {"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": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 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, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [2, 0, 3, 1, 4], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [2, 3, 0, 1, 4], [2, 3, 0, 4, 1]], "symmetry": false}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 2, 0, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 2, 0], "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, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [2, 0, 3, 1, 4], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [2, 3, 0, 1, 4], [2, 3, 0, 4, 1]], "symmetry": false}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 4
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/25909/
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[25,x]*F[4,x]
F[4,x] = F[5,x]+F[6,x]
F[5,x] = -1+(x^2-2*x)*F[5,x]^2+(2+x)*F[5,x]
F[6,x] = F[2,x]+F[7,x]
F[7,x] = F[8,x]
F[8,x] = F[25,x]*F[9,x]
F[9,x] = F[10,x]+F[376,x]
F[10,x] = F[11,x]+F[300,x]
F[11,x] = F[12,x]+F[2,x]
F[12,x] = F[13,x]
F[13,x] = F[14,x]*F[25,x]
F[14,x] = F[15,x]+F[34,x]
F[15,x] = F[16,x]*F[2,x]
F[16,x] = F[17,x]+F[5,x]
F[17,x] = F[18,x]
F[18,x] = F[19,x]*F[25,x]*F[31,x]
F[19,x] = F[20,x]+F[5,x]
F[20,x] = F[21,x]
F[21,x] = F[22,x]*F[25,x]*F[26,x]
F[22,x] = F[1,x]+F[23,x]
F[23,x] = F[24,x]
F[24,x] = F[22,x]*F[25,x]
F[25,x] = x
F[26,x] = 1/F[22,x]/F[25,x]*F[27,x]
F[27,x] = F[28,x]
F[28,x] = F[29,x]
F[29,x] = F[25,x]*F[30,x]*F[31,x]
F[30,x] = F[28,x]+F[5,x]
F[31,x] = F[22,x]+F[32,x]
F[32,x] = F[33,x]
F[33,x] = F[31,x]^2*F[25,x]
F[34,x] = F[35,x]
F[35,x] = F[25,x]*F[36,x]
F[36,x] = F[37,x]+F[52,x]
F[37,x] = F[38,x]+F[50,x]
F[38,x] = 1/F[25,x]*F[39,x]
F[39,x] = F[40,x]
F[40,x] = F[41,x]
F[41,x] = F[25,x]*F[42,x]
F[42,x] = F[43,x]+F[47,x]
F[43,x] = F[30,x]+F[44,x]
F[44,x] = F[45,x]+F[6,x]
F[45,x] = F[46,x]
F[46,x] = F[2,x]*F[22,x]*F[25,x]*F[26,x]
F[47,x] = -F[44,x]+F[48,x]
F[48,x] = 1/F[25,x]*F[49,x]
F[49,x] = F[7,x]
F[50,x] = F[51,x]
F[51,x] = F[25,x]*F[36,x]
F[52,x] = F[53,x]
F[53,x] = F[0,x]*F[17,x]*F[54,x]
F[54,x] = 1/F[0,x]/F[25,x]/F[5,x]*F[55,x]
F[55,x] = F[56,x]
F[56,x] = -F[4,x]+F[57,x]
F[57,x] = -F[263,x]+F[58,x]
F[58,x] = F[129,x]+F[59,x]
F[59,x] = F[123,x]+F[60,x]
F[60,x] = F[61,x]+F[62,x]
F[61,x] = -2+x^2+8*x+F[61,x]^2*(x^2+4*x-1)+(2*x^2-13*x+4)*F[61,x]
F[62,x] = F[63,x]
F[63,x] = F[25,x]*F[64,x]
F[64,x] = 1/F[25,x]*F[65,x]
F[65,x] = F[66,x]
F[66,x] = -F[61,x]+F[67,x]
F[67,x] = F[68,x]+F[81,x]
F[68,x] = F[1,x]+F[69,x]
F[69,x] = F[70,x]
F[70,x] = F[25,x]*F[71,x]
F[71,x] = F[72,x]+F[73,x]
F[72,x] = F[1,x]+F[25,x]
F[73,x] = F[69,x]+F[74,x]
F[74,x] = F[75,x]+F[76,x]+F[80,x]
F[75,x] = 0
F[76,x] = F[25,x]*F[77,x]
F[77,x] = F[78,x]+F[79,x]
F[78,x] = F[25,x]
F[79,x] = F[74,x]
F[80,x] = F[25,x]*F[69,x]
F[81,x] = F[82,x]
F[82,x] = F[25,x]*F[83,x]
F[83,x] = 1/F[25,x]*F[84,x]
F[84,x] = F[85,x]
F[85,x] = -F[68,x]+F[86,x]
F[86,x] = 1/F[122,x]*F[87,x]
F[87,x] = -F[110,x]+F[88,x]
F[88,x] = 1/F[25,x]*F[89,x]
F[89,x] = F[90,x]
F[90,x] = F[91,x]+F[93,x]
F[91,x] = F[5,x]*F[92,x]
F[92,x] = (x^2+4*x-1)*F[92,x]^2+(4*x^2-5*x+2)*F[92,x]+4*x^2-x
F[93,x] = F[94,x]
F[94,x] = F[25,x]*F[95,x]
F[95,x] = F[96,x]+F[97,x]
F[96,x] = F[28,x]*F[67,x]
F[97,x] = F[98,x]
F[98,x] = F[25,x]*F[31,x]*F[99,x]
F[99,x] = 1/F[25,x]*F[100,x]
F[100,x] = F[101,x]
F[101,x] = F[102,x]+F[103,x]
F[102,x] = F[26,x]*F[92,x]
F[103,x] = F[104,x]*F[107,x]
F[104,x] = -F[101,x]+F[105,x]
F[105,x] = 1/F[22,x]/F[25,x]*F[106,x]
F[106,x] = F[93,x]
F[107,x] = F[108,x]
F[108,x] = F[109,x]^2*F[25,x]
F[109,x] = F[1,x]+F[107,x]
F[110,x] = -F[113,x]+F[111,x]
F[111,x] = 1/F[25,x]*F[112,x]
F[112,x] = F[93,x]
F[113,x] = F[114,x]*F[86,x]
F[114,x] = F[115,x]
F[115,x] = F[116,x]*F[25,x]*F[5,x]
F[116,x] = F[117,x]+F[22,x]
F[117,x] = F[118,x]+F[23,x]
F[118,x] = F[119,x]+F[121,x]+F[75,x]
F[119,x] = F[120,x]*F[25,x]
F[120,x] = F[118,x]+F[23,x]
F[121,x] = F[117,x]*F[25,x]
F[122,x] = F[114,x]+F[5,x]
F[123,x] = -F[129,x]+F[124,x]
F[124,x] = 1/F[25,x]*F[125,x]
F[125,x] = F[126,x]
F[126,x] = -F[2,x]+F[127,x]
F[127,x] = -F[61,x]+F[128,x]
F[128,x] = F[0,x]+F[40,x]
F[129,x] = F[130,x]
F[130,x] = F[131,x]*F[25,x]
F[131,x] = 1/F[25,x]*F[132,x]
F[132,x] = F[133,x]
F[133,x] = F[134,x]+F[40,x]
F[134,x] = F[135,x]
F[135,x] = F[136,x]*F[25,x]
F[136,x] = F[137,x]+F[148,x]
F[137,x] = F[138,x]
F[138,x] = F[139,x]*F[25,x]
F[139,x] = 1/F[25,x]*F[140,x]
F[140,x] = F[141,x]
F[141,x] = -F[144,x]+F[142,x]
F[142,x] = 1/F[25,x]*F[143,x]
F[143,x] = F[7,x]
F[144,x] = F[145,x]
F[145,x] = F[146,x]*F[25,x]
F[146,x] = 1/F[25,x]*F[147,x]
F[147,x] = F[10,x]
F[148,x] = F[149,x]
F[149,x] = F[150,x]*F[25,x]
F[150,x] = F[151,x]+F[166,x]
F[151,x] = 1/F[25,x]*F[152,x]
F[152,x] = F[153,x]
F[153,x] = 1/F[25,x]*F[154,x]
F[154,x] = F[155,x]
F[155,x] = -F[164,x]+F[156,x]
F[156,x] = F[157,x]
F[157,x] = F[158,x]*F[25,x]
F[158,x] = F[159,x]+F[161,x]
F[159,x] = F[160,x]+F[59,x]
F[160,x] = F[156,x]
F[161,x] = F[162,x]*F[17,x]
F[162,x] = 1/F[22,x]/F[25,x]/F[5,x]*F[163,x]
F[163,x] = F[56,x]
F[164,x] = F[12,x]+F[165,x]
F[165,x] = (x*F[165,x]+x-1)*(x*F[165,x]+x-2*F[165,x])
F[166,x] = F[167,x]*F[258,x]
F[167,x] = F[168,x]
F[168,x] = F[169,x]*F[25,x]
F[169,x] = 1/F[25,x]*F[170,x]
F[170,x] = F[171,x]
F[171,x] = 1/F[193,x]*F[172,x]
F[172,x] = -F[257,x]+F[173,x]
F[173,x] = 1/F[25,x]*F[174,x]
F[174,x] = F[175,x]
F[175,x] = -F[256,x]+F[176,x]
F[176,x] = F[177,x]
F[177,x] = F[178,x]*F[25,x]
F[178,x] = F[179,x]+F[191,x]
F[179,x] = F[180,x]+F[189,x]
F[180,x] = F[181,x]*F[5,x]
F[181,x] = F[0,x]+F[182,x]
F[182,x] = F[183,x]
F[183,x] = F[184,x]*F[25,x]
F[184,x] = 1/F[25,x]*F[185,x]
F[185,x] = F[186,x]
F[186,x] = -F[0,x]+F[187,x]
F[187,x] = 1/F[25,x]*F[188,x]
F[188,x] = F[2,x]
F[189,x] = F[190,x]
F[190,x] = F[178,x]*F[25,x]*F[31,x]
F[191,x] = F[192,x]
F[192,x] = F[193,x]*F[239,x]*F[25,x]
F[193,x] = 1/F[165,x]*F[194,x]
F[194,x] = -F[237,x]+F[195,x]
F[195,x] = 1/F[25,x]*F[196,x]
F[196,x] = F[197,x]
F[197,x] = F[198,x]*F[25,x]
F[198,x] = F[199,x]+F[231,x]
F[199,x] = F[200,x]+F[229,x]
F[200,x] = F[201,x]*F[5,x]
F[201,x] = F[202,x]
F[202,x] = F[203,x]*F[25,x]
F[203,x] = F[204,x]+F[205,x]
F[204,x] = F[0,x]*F[22,x]
F[205,x] = F[206,x]
F[206,x] = F[116,x]*F[207,x]*F[208,x]*F[25,x]
F[207,x] = F[0,x]+F[201,x]
F[208,x] = F[209,x]+F[68,x]
F[209,x] = F[210,x]+F[23,x]
F[210,x] = F[211,x]+F[213,x]+F[75,x]
F[211,x] = F[212,x]*F[25,x]
F[212,x] = F[210,x]+F[69,x]
F[213,x] = F[214,x]*F[25,x]
F[214,x] = F[215,x]+F[220,x]
F[215,x] = F[216,x]+F[23,x]
F[216,x] = F[217,x]+F[219,x]+F[75,x]
F[217,x] = F[218,x]*F[25,x]
F[218,x] = F[216,x]+F[25,x]
F[219,x] = F[23,x]*F[25,x]
F[220,x] = F[210,x]+F[221,x]
F[221,x] = F[222,x]+F[224,x]+F[228,x]+F[75,x]
F[222,x] = F[223,x]*F[25,x]
F[223,x] = F[221,x]+F[74,x]
F[224,x] = F[225,x]*F[25,x]
F[225,x] = F[226,x]+F[227,x]
F[226,x] = F[216,x]
F[227,x] = F[221,x]
F[228,x] = F[210,x]*F[25,x]
F[229,x] = F[230,x]
F[230,x] = F[198,x]*F[25,x]*F[31,x]
F[231,x] = F[232,x]
F[232,x] = F[22,x]*F[233,x]*F[25,x]
F[233,x] = F[231,x]+F[234,x]
F[234,x] = F[199,x]+F[235,x]
F[235,x] = 1/F[25,x]*F[236,x]
F[236,x] = F[186,x]
F[237,x] = F[238,x]
F[238,x] = F[233,x]*F[25,x]*F[31,x]
F[239,x] = F[240,x]+F[241,x]
F[240,x] = F[171,x]+F[5,x]
F[241,x] = 1/F[25,x]*F[242,x]
F[242,x] = F[243,x]
F[243,x] = F[19,x]*F[244,x]*F[25,x]
F[244,x] = F[245,x]
F[245,x] = F[246,x]*F[25,x]
F[246,x] = F[247,x]+F[248,x]
F[247,x] = F[22,x]*F[31,x]
F[248,x] = F[249,x]
F[249,x] = F[25,x]*F[250,x]*F[31,x]
F[250,x] = 1/F[25,x]/F[30,x]*F[251,x]
F[251,x] = F[252,x]
F[252,x] = -F[253,x]+F[169,x]
F[253,x] = F[240,x]+F[254,x]
F[254,x] = F[255,x]
F[255,x] = F[25,x]*F[253,x]*F[31,x]
F[256,x] = F[0,x]*F[165,x]
F[257,x] = F[165,x]*F[184,x]
F[258,x] = F[259,x]+F[261,x]
F[259,x] = 1/F[25,x]/F[5,x]*F[260,x]
F[260,x] = F[56,x]
F[261,x] = F[262,x]
F[262,x] = F[25,x]*F[258,x]*F[31,x]
F[263,x] = F[264,x]+F[268,x]
F[264,x] = -F[4,x]+F[265,x]
F[265,x] = F[128,x]+F[266,x]
F[266,x] = -F[267,x]+F[129,x]
F[267,x] = F[155,x]
F[268,x] = F[269,x]
F[269,x] = F[25,x]*F[270,x]
F[270,x] = F[271,x]+F[279,x]
F[271,x] = F[272,x]
F[272,x] = F[22,x]*F[25,x]*F[273,x]
F[273,x] = F[274,x]+F[58,x]
F[274,x] = F[275,x]
F[275,x] = F[25,x]*F[276,x]
F[276,x] = F[273,x]+F[277,x]
F[277,x] = F[278,x]
F[278,x] = F[162,x]*F[17,x]*F[22,x]
F[279,x] = F[280,x]
F[280,x] = F[25,x]*F[281,x]
F[281,x] = F[282,x]+F[299,x]
F[282,x] = F[22,x]*F[283,x]
F[283,x] = -F[293,x]+F[284,x]
F[284,x] = 1/F[25,x]*F[285,x]
F[285,x] = F[286,x]
F[286,x] = -F[289,x]+F[287,x]
F[287,x] = 1/F[25,x]*F[288,x]
F[288,x] = F[134,x]
F[289,x] = F[290,x]
F[290,x] = F[25,x]*F[291,x]
F[291,x] = 1/F[25,x]*F[292,x]
F[292,x] = F[264,x]
F[293,x] = F[294,x]*F[296,x]
F[294,x] = F[295,x]
F[295,x] = F[240,x]*F[25,x]
F[296,x] = 1/F[25,x]/F[5,x]*F[297,x]
F[297,x] = F[298,x]
F[298,x] = F[25,x]*F[259,x]*F[26,x]
F[299,x] = F[218,x]*F[296,x]*F[5,x]
F[300,x] = F[301,x]
F[301,x] = F[25,x]*F[302,x]
F[302,x] = F[303,x]+F[343,x]
F[303,x] = F[304,x]+F[335,x]
F[304,x] = -F[327,x]+F[305,x]
F[305,x] = F[306,x]+F[307,x]
F[306,x] = F[16,x]*F[61,x]
F[307,x] = F[308,x]
F[308,x] = F[16,x]*F[25,x]*F[309,x]
F[309,x] = F[310,x]+F[314,x]
F[310,x] = F[311,x]
F[311,x] = 1/F[25,x]*F[312,x]
F[312,x] = F[313,x]
F[313,x] = -F[61,x]+F[60,x]
F[314,x] = -F[326,x]+F[315,x]
F[315,x] = 1/F[25,x]*F[316,x]
F[316,x] = F[317,x]
F[317,x] = -F[325,x]+F[318,x]
F[318,x] = F[319,x]+F[320,x]
F[319,x] = -F[109,x]+F[30,x]
F[320,x] = -F[321,x]+F[90,x]
F[321,x] = -F[109,x]+F[322,x]
F[322,x] = F[323,x]+F[61,x]
F[323,x] = F[324,x]
F[324,x] = F[25,x]*F[311,x]
F[325,x] = F[165,x]*F[61,x]
F[326,x] = F[165,x]*F[309,x]
F[327,x] = 1/F[25,x]/F[329,x]*F[328,x]
F[328,x] = F[307,x]
F[329,x] = F[330,x]+F[331,x]
F[330,x] = F[31,x]*F[61,x]
F[331,x] = -F[334,x]+F[332,x]
F[332,x] = 1/F[25,x]/F[30,x]*F[333,x]
F[333,x] = F[93,x]
F[334,x] = F[31,x]*F[92,x]
F[335,x] = F[165,x]*F[336,x]
F[336,x] = -F[339,x]+F[337,x]
F[337,x] = 1/F[25,x]/F[5,x]*F[338,x]
F[338,x] = F[93,x]
F[339,x] = F[340,x]
F[340,x] = F[25,x]*F[341,x]
F[341,x] = 1/F[122,x]/F[25,x]*F[342,x]
F[342,x] = F[110,x]
F[343,x] = F[344,x]+F[346,x]
F[344,x] = -F[305,x]+F[345,x]
F[345,x] = F[153,x]+F[42,x]
F[346,x] = F[347,x]
F[347,x] = -F[335,x]+F[348,x]
F[348,x] = F[349,x]+F[350,x]
F[349,x] = F[165,x]*F[2,x]*F[31,x]
F[350,x] = -F[356,x]+F[351,x]
F[351,x] = 1/F[25,x]*F[352,x]
F[352,x] = F[353,x]
F[353,x] = -F[354,x]+F[267,x]
F[354,x] = F[355,x]
F[355,x] = F[0,x]*F[165,x]*F[25,x]*F[54,x]
F[356,x] = F[0,x]*F[165,x]*F[357,x]
F[357,x] = 1/F[0,x]/F[5,x]*F[358,x]
F[358,x] = -F[361,x]+F[359,x]
F[359,x] = 1/F[25,x]*F[360,x]
F[360,x] = F[268,x]
F[361,x] = -F[365,x]+F[362,x]
F[362,x] = 1/F[25,x]*F[363,x]
F[363,x] = F[364,x]
F[364,x] = -F[264,x]+F[47,x]
F[365,x] = F[366,x]
F[366,x] = F[0,x]*F[25,x]*F[367,x]*F[5,x]
F[367,x] = 1/F[122,x]/F[25,x]*F[368,x]
F[368,x] = F[369,x]
F[369,x] = 1/F[0,x]*F[370,x]
F[370,x] = F[371,x]
F[371,x] = -F[374,x]+F[372,x]
F[372,x] = 1/F[25,x]*F[373,x]
F[373,x] = F[364,x]
F[374,x] = F[375,x]
F[375,x] = F[116,x]*F[25,x]*F[37,x]
F[376,x] = F[264,x]+F[377,x]
F[377,x] = F[378,x]
F[378,x] = F[25,x]*F[379,x]
F[379,x] = F[380,x]
F[380,x] = F[162,x]*F[246,x]*F[25,x]*F[30,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_{25}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{5}\! \left(x \right)+F_{6}\! \left(x \right)
F_{5}\! \left(x \right) = x^{2} F_{5} \left(x \right)^{2}-2 x F_{5} \left(x \right)^{2}+F_{5}\! \left(x \right) x +2 F_{5}\! \left(x \right)-1
F_{6}\! \left(x \right) = F_{2}\! \left(x \right)+F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{25}\! \left(x \right) F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{376}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{300}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{2}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right) F_{25}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)+F_{34}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right) F_{2}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)+F_{5}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right) F_{25}\! \left(x \right) F_{31}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)+F_{5}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right) F_{25}\! \left(x \right) F_{26}\! \left(x \right)
F_{22}\! \left(x \right) = F_{1}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{22}\! \left(x \right) F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = x
F_{26}\! \left(x \right) = \frac{F_{27}\! \left(x \right)}{F_{22}\! \left(x \right) F_{25}\! \left(x \right)}
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{25}\! \left(x \right) F_{30}\! \left(x \right) F_{31}\! \left(x \right)
F_{30}\! \left(x \right) = F_{28}\! \left(x \right)+F_{5}\! \left(x \right)
F_{31}\! \left(x \right) = F_{22}\! \left(x \right)+F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{31} \left(x \right)^{2} F_{25}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{25}\! \left(x \right) F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)+F_{52}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)+F_{50}\! \left(x \right)
F_{38}\! \left(x \right) = \frac{F_{39}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{25}\! \left(x \right) F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)+F_{47}\! \left(x \right)
F_{43}\! \left(x \right) = F_{30}\! \left(x \right)+F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)+F_{6}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{2}\! \left(x \right) F_{22}\! \left(x \right) F_{25}\! \left(x \right) F_{26}\! \left(x \right)
F_{47}\! \left(x \right) = -F_{44}\! \left(x \right)+F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = \frac{F_{49}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{49}\! \left(x \right) = F_{7}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{25}\! \left(x \right) F_{36}\! \left(x \right)
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{0}\! \left(x \right) F_{17}\! \left(x \right) F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = \frac{F_{55}\! \left(x \right)}{F_{0}\! \left(x \right) F_{25}\! \left(x \right) F_{5}\! \left(x \right)}
F_{55}\! \left(x \right) = F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = -F_{4}\! \left(x \right)+F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = -F_{263}\! \left(x \right)+F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{129}\! \left(x \right)+F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{123}\! \left(x \right)+F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)+F_{62}\! \left(x \right)
F_{61}\! \left(x \right) = x^{2} F_{61} \left(x \right)^{2}+2 x^{2} F_{61}\! \left(x \right)+4 x F_{61} \left(x \right)^{2}+x^{2}-13 x F_{61}\! \left(x \right)-F_{61} \left(x \right)^{2}+8 x +4 F_{61}\! \left(x \right)-2
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{25}\! \left(x \right) F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = \frac{F_{65}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = -F_{61}\! \left(x \right)+F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)+F_{81}\! \left(x \right)
F_{68}\! \left(x \right) = F_{1}\! \left(x \right)+F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{25}\! \left(x \right) F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{72}\! \left(x \right)+F_{73}\! \left(x \right)
F_{72}\! \left(x \right) = F_{1}\! \left(x \right)+F_{25}\! \left(x \right)
F_{73}\! \left(x \right) = F_{69}\! \left(x \right)+F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)+F_{76}\! \left(x \right)+F_{80}\! \left(x \right)
F_{75}\! \left(x \right) = 0
F_{76}\! \left(x \right) = F_{25}\! \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_{25}\! \left(x \right)
F_{79}\! \left(x \right) = F_{74}\! \left(x \right)
F_{80}\! \left(x \right) = F_{25}\! \left(x \right) F_{69}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{25}\! \left(x \right) F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = \frac{F_{84}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = -F_{68}\! \left(x \right)+F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = \frac{F_{87}\! \left(x \right)}{F_{122}\! \left(x \right)}
F_{87}\! \left(x \right) = -F_{110}\! \left(x \right)+F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = \frac{F_{89}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)+F_{93}\! \left(x \right)
F_{91}\! \left(x \right) = F_{5}\! \left(x \right) F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = x^{2} F_{92} \left(x \right)^{2}+4 x^{2} F_{92}\! \left(x \right)+4 x F_{92} \left(x \right)^{2}+4 x^{2}-5 x F_{92}\! \left(x \right)-F_{92} \left(x \right)^{2}-x +2 F_{92}\! \left(x \right)
F_{93}\! \left(x \right) = F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{25}\! \left(x \right) F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{96}\! \left(x \right)+F_{97}\! \left(x \right)
F_{96}\! \left(x \right) = F_{28}\! \left(x \right) F_{67}\! \left(x \right)
F_{97}\! \left(x \right) = F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{25}\! \left(x \right) F_{31}\! \left(x \right) F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = \frac{F_{100}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)+F_{103}\! \left(x \right)
F_{102}\! \left(x \right) = F_{26}\! \left(x \right) F_{92}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right) F_{107}\! \left(x \right)
F_{104}\! \left(x \right) = -F_{101}\! \left(x \right)+F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = \frac{F_{106}\! \left(x \right)}{F_{22}\! \left(x \right) F_{25}\! \left(x \right)}
F_{106}\! \left(x \right) = F_{93}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109} \left(x \right)^{2} F_{25}\! \left(x \right)
F_{109}\! \left(x \right) = F_{1}\! \left(x \right)+F_{107}\! \left(x \right)
F_{110}\! \left(x \right) = -F_{113}\! \left(x \right)+F_{111}\! \left(x \right)
F_{111}\! \left(x \right) = \frac{F_{112}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{112}\! \left(x \right) = F_{93}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right) F_{86}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right) F_{25}\! \left(x \right) F_{5}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right)+F_{22}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)+F_{23}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)+F_{121}\! \left(x \right)+F_{75}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right) F_{25}\! \left(x \right)
F_{120}\! \left(x \right) = F_{118}\! \left(x \right)+F_{23}\! \left(x \right)
F_{121}\! \left(x \right) = F_{117}\! \left(x \right) F_{25}\! \left(x \right)
F_{122}\! \left(x \right) = F_{114}\! \left(x \right)+F_{5}\! \left(x \right)
F_{123}\! \left(x \right) = -F_{129}\! \left(x \right)+F_{124}\! \left(x \right)
F_{124}\! \left(x \right) = \frac{F_{125}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = -F_{61}\! \left(x \right)+F_{128}\! \left(x \right)
F_{128}\! \left(x \right) = F_{0}\! \left(x \right)+F_{40}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right) F_{25}\! \left(x \right)
F_{131}\! \left(x \right) = \frac{F_{132}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right)+F_{40}\! \left(x \right)
F_{134}\! \left(x \right) = F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right) F_{25}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right)+F_{148}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right) F_{25}\! \left(x \right)
F_{139}\! \left(x \right) = \frac{F_{140}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)
F_{141}\! \left(x \right) = -F_{144}\! \left(x \right)+F_{142}\! \left(x \right)
F_{142}\! \left(x \right) = \frac{F_{143}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{143}\! \left(x \right) = F_{7}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right) F_{25}\! \left(x \right)
F_{146}\! \left(x \right) = \frac{F_{147}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{147}\! \left(x \right) = F_{10}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right) F_{25}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)+F_{166}\! \left(x \right)
F_{151}\! \left(x \right) = \frac{F_{152}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = \frac{F_{154}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)
F_{155}\! \left(x \right) = -F_{164}\! \left(x \right)+F_{156}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right) F_{25}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)+F_{161}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right)+F_{59}\! \left(x \right)
F_{160}\! \left(x \right) = F_{156}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right) F_{17}\! \left(x \right)
F_{162}\! \left(x \right) = \frac{F_{163}\! \left(x \right)}{F_{22}\! \left(x \right) F_{25}\! \left(x \right) F_{5}\! \left(x \right)}
F_{163}\! \left(x \right) = F_{56}\! \left(x \right)
F_{164}\! \left(x \right) = F_{12}\! \left(x \right)+F_{165}\! \left(x \right)
F_{165}\! \left(x \right) = x^{2} F_{165} \left(x \right)^{2}+2 x^{2} F_{165}\! \left(x \right)-2 x F_{165} \left(x \right)^{2}+x^{2}-3 x F_{165}\! \left(x \right)-x +2 F_{165}\! \left(x \right)
F_{166}\! \left(x \right) = F_{167}\! \left(x \right) F_{258}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right) F_{25}\! \left(x \right)
F_{169}\! \left(x \right) = \frac{F_{170}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{170}\! \left(x \right) = F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = \frac{F_{172}\! \left(x \right)}{F_{193}\! \left(x \right)}
F_{172}\! \left(x \right) = -F_{257}\! \left(x \right)+F_{173}\! \left(x \right)
F_{173}\! \left(x \right) = \frac{F_{174}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{174}\! \left(x \right) = F_{175}\! \left(x \right)
F_{175}\! \left(x \right) = -F_{256}\! \left(x \right)+F_{176}\! \left(x \right)
F_{176}\! \left(x \right) = F_{177}\! \left(x \right)
F_{177}\! \left(x \right) = F_{178}\! \left(x \right) F_{25}\! \left(x \right)
F_{178}\! \left(x \right) = F_{179}\! \left(x \right)+F_{191}\! \left(x \right)
F_{179}\! \left(x \right) = F_{180}\! \left(x \right)+F_{189}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right) F_{5}\! \left(x \right)
F_{181}\! \left(x \right) = F_{0}\! \left(x \right)+F_{182}\! \left(x \right)
F_{182}\! \left(x \right) = F_{183}\! \left(x \right)
F_{183}\! \left(x \right) = F_{184}\! \left(x \right) F_{25}\! \left(x \right)
F_{184}\! \left(x \right) = \frac{F_{185}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{185}\! \left(x \right) = F_{186}\! \left(x \right)
F_{186}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{187}\! \left(x \right)
F_{187}\! \left(x \right) = \frac{F_{188}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{188}\! \left(x \right) = F_{2}\! \left(x \right)
F_{189}\! \left(x \right) = F_{190}\! \left(x \right)
F_{190}\! \left(x \right) = F_{178}\! \left(x \right) F_{25}\! \left(x \right) F_{31}\! \left(x \right)
F_{191}\! \left(x \right) = F_{192}\! \left(x \right)
F_{192}\! \left(x \right) = F_{193}\! \left(x \right) F_{239}\! \left(x \right) F_{25}\! \left(x \right)
F_{193}\! \left(x \right) = \frac{F_{194}\! \left(x \right)}{F_{165}\! \left(x \right)}
F_{194}\! \left(x \right) = -F_{237}\! \left(x \right)+F_{195}\! \left(x \right)
F_{195}\! \left(x \right) = \frac{F_{196}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{196}\! \left(x \right) = F_{197}\! \left(x \right)
F_{197}\! \left(x \right) = F_{198}\! \left(x \right) F_{25}\! \left(x \right)
F_{198}\! \left(x \right) = F_{199}\! \left(x \right)+F_{231}\! \left(x \right)
F_{199}\! \left(x \right) = F_{200}\! \left(x \right)+F_{229}\! \left(x \right)
F_{200}\! \left(x \right) = F_{201}\! \left(x \right) F_{5}\! \left(x \right)
F_{201}\! \left(x \right) = F_{202}\! \left(x \right)
F_{202}\! \left(x \right) = F_{203}\! \left(x \right) F_{25}\! \left(x \right)
F_{203}\! \left(x \right) = F_{204}\! \left(x \right)+F_{205}\! \left(x \right)
F_{204}\! \left(x \right) = F_{0}\! \left(x \right) F_{22}\! \left(x \right)
F_{205}\! \left(x \right) = F_{206}\! \left(x \right)
F_{206}\! \left(x \right) = F_{116}\! \left(x \right) F_{207}\! \left(x \right) F_{208}\! \left(x \right) F_{25}\! \left(x \right)
F_{207}\! \left(x \right) = F_{0}\! \left(x \right)+F_{201}\! \left(x \right)
F_{208}\! \left(x \right) = F_{209}\! \left(x \right)+F_{68}\! \left(x \right)
F_{209}\! \left(x \right) = F_{210}\! \left(x \right)+F_{23}\! \left(x \right)
F_{210}\! \left(x \right) = F_{211}\! \left(x \right)+F_{213}\! \left(x \right)+F_{75}\! \left(x \right)
F_{211}\! \left(x \right) = F_{212}\! \left(x \right) F_{25}\! \left(x \right)
F_{212}\! \left(x \right) = F_{210}\! \left(x \right)+F_{69}\! \left(x \right)
F_{213}\! \left(x \right) = F_{214}\! \left(x \right) F_{25}\! \left(x \right)
F_{214}\! \left(x \right) = F_{215}\! \left(x \right)+F_{220}\! \left(x \right)
F_{215}\! \left(x \right) = F_{216}\! \left(x \right)+F_{23}\! \left(x \right)
F_{216}\! \left(x \right) = F_{217}\! \left(x \right)+F_{219}\! \left(x \right)+F_{75}\! \left(x \right)
F_{217}\! \left(x \right) = F_{218}\! \left(x \right) F_{25}\! \left(x \right)
F_{218}\! \left(x \right) = F_{216}\! \left(x \right)+F_{25}\! \left(x \right)
F_{219}\! \left(x \right) = F_{23}\! \left(x \right) F_{25}\! \left(x \right)
F_{220}\! \left(x \right) = F_{210}\! \left(x \right)+F_{221}\! \left(x \right)
F_{221}\! \left(x \right) = F_{222}\! \left(x \right)+F_{224}\! \left(x \right)+F_{228}\! \left(x \right)+F_{75}\! \left(x \right)
F_{222}\! \left(x \right) = F_{223}\! \left(x \right) F_{25}\! \left(x \right)
F_{223}\! \left(x \right) = F_{221}\! \left(x \right)+F_{74}\! \left(x \right)
F_{224}\! \left(x \right) = F_{225}\! \left(x \right) F_{25}\! \left(x \right)
F_{225}\! \left(x \right) = F_{226}\! \left(x \right)+F_{227}\! \left(x \right)
F_{226}\! \left(x \right) = F_{216}\! \left(x \right)
F_{227}\! \left(x \right) = F_{221}\! \left(x \right)
F_{228}\! \left(x \right) = F_{210}\! \left(x \right) F_{25}\! \left(x \right)
F_{229}\! \left(x \right) = F_{230}\! \left(x \right)
F_{230}\! \left(x \right) = F_{198}\! \left(x \right) F_{25}\! \left(x \right) F_{31}\! \left(x \right)
F_{231}\! \left(x \right) = F_{232}\! \left(x \right)
F_{232}\! \left(x \right) = F_{22}\! \left(x \right) F_{233}\! \left(x \right) F_{25}\! \left(x \right)
F_{233}\! \left(x \right) = F_{231}\! \left(x \right)+F_{234}\! \left(x \right)
F_{234}\! \left(x \right) = F_{199}\! \left(x \right)+F_{235}\! \left(x \right)
F_{235}\! \left(x \right) = \frac{F_{236}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{236}\! \left(x \right) = F_{186}\! \left(x \right)
F_{237}\! \left(x \right) = F_{238}\! \left(x \right)
F_{238}\! \left(x \right) = F_{233}\! \left(x \right) F_{25}\! \left(x \right) F_{31}\! \left(x \right)
F_{239}\! \left(x \right) = F_{240}\! \left(x \right)+F_{241}\! \left(x \right)
F_{240}\! \left(x \right) = F_{171}\! \left(x \right)+F_{5}\! \left(x \right)
F_{241}\! \left(x \right) = \frac{F_{242}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{242}\! \left(x \right) = F_{243}\! \left(x \right)
F_{243}\! \left(x \right) = F_{19}\! \left(x \right) F_{244}\! \left(x \right) F_{25}\! \left(x \right)
F_{244}\! \left(x \right) = F_{245}\! \left(x \right)
F_{245}\! \left(x \right) = F_{246}\! \left(x \right) F_{25}\! \left(x \right)
F_{246}\! \left(x \right) = F_{247}\! \left(x \right)+F_{248}\! \left(x \right)
F_{247}\! \left(x \right) = F_{22}\! \left(x \right) F_{31}\! \left(x \right)
F_{248}\! \left(x \right) = F_{249}\! \left(x \right)
F_{249}\! \left(x \right) = F_{25}\! \left(x \right) F_{250}\! \left(x \right) F_{31}\! \left(x \right)
F_{250}\! \left(x \right) = \frac{F_{251}\! \left(x \right)}{F_{25}\! \left(x \right) F_{30}\! \left(x \right)}
F_{251}\! \left(x \right) = F_{252}\! \left(x \right)
F_{252}\! \left(x \right) = -F_{253}\! \left(x \right)+F_{169}\! \left(x \right)
F_{253}\! \left(x \right) = F_{240}\! \left(x \right)+F_{254}\! \left(x \right)
F_{254}\! \left(x \right) = F_{255}\! \left(x \right)
F_{255}\! \left(x \right) = F_{25}\! \left(x \right) F_{253}\! \left(x \right) F_{31}\! \left(x \right)
F_{256}\! \left(x \right) = F_{0}\! \left(x \right) F_{165}\! \left(x \right)
F_{257}\! \left(x \right) = F_{165}\! \left(x \right) F_{184}\! \left(x \right)
F_{258}\! \left(x \right) = F_{259}\! \left(x \right)+F_{261}\! \left(x \right)
F_{259}\! \left(x \right) = \frac{F_{260}\! \left(x \right)}{F_{25}\! \left(x \right) F_{5}\! \left(x \right)}
F_{260}\! \left(x \right) = F_{56}\! \left(x \right)
F_{261}\! \left(x \right) = F_{262}\! \left(x \right)
F_{262}\! \left(x \right) = F_{25}\! \left(x \right) F_{258}\! \left(x \right) F_{31}\! \left(x \right)
F_{263}\! \left(x \right) = F_{264}\! \left(x \right)+F_{268}\! \left(x \right)
F_{264}\! \left(x \right) = -F_{4}\! \left(x \right)+F_{265}\! \left(x \right)
F_{265}\! \left(x \right) = F_{128}\! \left(x \right)+F_{266}\! \left(x \right)
F_{266}\! \left(x \right) = -F_{267}\! \left(x \right)+F_{129}\! \left(x \right)
F_{267}\! \left(x \right) = F_{155}\! \left(x \right)
F_{268}\! \left(x \right) = F_{269}\! \left(x \right)
F_{269}\! \left(x \right) = F_{25}\! \left(x \right) F_{270}\! \left(x \right)
F_{270}\! \left(x \right) = F_{271}\! \left(x \right)+F_{279}\! \left(x \right)
F_{271}\! \left(x \right) = F_{272}\! \left(x \right)
F_{272}\! \left(x \right) = F_{22}\! \left(x \right) F_{25}\! \left(x \right) F_{273}\! \left(x \right)
F_{273}\! \left(x \right) = F_{274}\! \left(x \right)+F_{58}\! \left(x \right)
F_{274}\! \left(x \right) = F_{275}\! \left(x \right)
F_{275}\! \left(x \right) = F_{25}\! \left(x \right) F_{276}\! \left(x \right)
F_{276}\! \left(x \right) = F_{273}\! \left(x \right)+F_{277}\! \left(x \right)
F_{277}\! \left(x \right) = F_{278}\! \left(x \right)
F_{278}\! \left(x \right) = F_{162}\! \left(x \right) F_{17}\! \left(x \right) F_{22}\! \left(x \right)
F_{279}\! \left(x \right) = F_{280}\! \left(x \right)
F_{280}\! \left(x \right) = F_{25}\! \left(x \right) F_{281}\! \left(x \right)
F_{281}\! \left(x \right) = F_{282}\! \left(x \right)+F_{299}\! \left(x \right)
F_{282}\! \left(x \right) = F_{22}\! \left(x \right) F_{283}\! \left(x \right)
F_{283}\! \left(x \right) = -F_{293}\! \left(x \right)+F_{284}\! \left(x \right)
F_{284}\! \left(x \right) = \frac{F_{285}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{285}\! \left(x \right) = F_{286}\! \left(x \right)
F_{286}\! \left(x \right) = -F_{289}\! \left(x \right)+F_{287}\! \left(x \right)
F_{287}\! \left(x \right) = \frac{F_{288}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{288}\! \left(x \right) = F_{134}\! \left(x \right)
F_{289}\! \left(x \right) = F_{290}\! \left(x \right)
F_{290}\! \left(x \right) = F_{25}\! \left(x \right) F_{291}\! \left(x \right)
F_{291}\! \left(x \right) = \frac{F_{292}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{292}\! \left(x \right) = F_{264}\! \left(x \right)
F_{293}\! \left(x \right) = F_{294}\! \left(x \right) F_{296}\! \left(x \right)
F_{294}\! \left(x \right) = F_{295}\! \left(x \right)
F_{295}\! \left(x \right) = F_{240}\! \left(x \right) F_{25}\! \left(x \right)
F_{296}\! \left(x \right) = \frac{F_{297}\! \left(x \right)}{F_{25}\! \left(x \right) F_{5}\! \left(x \right)}
F_{297}\! \left(x \right) = F_{298}\! \left(x \right)
F_{298}\! \left(x \right) = F_{25}\! \left(x \right) F_{259}\! \left(x \right) F_{26}\! \left(x \right)
F_{299}\! \left(x \right) = F_{218}\! \left(x \right) F_{296}\! \left(x \right) F_{5}\! \left(x \right)
F_{300}\! \left(x \right) = F_{301}\! \left(x \right)
F_{301}\! \left(x \right) = F_{25}\! \left(x \right) F_{302}\! \left(x \right)
F_{302}\! \left(x \right) = F_{303}\! \left(x \right)+F_{343}\! \left(x \right)
F_{303}\! \left(x \right) = F_{304}\! \left(x \right)+F_{335}\! \left(x \right)
F_{304}\! \left(x \right) = -F_{327}\! \left(x \right)+F_{305}\! \left(x \right)
F_{305}\! \left(x \right) = F_{306}\! \left(x \right)+F_{307}\! \left(x \right)
F_{306}\! \left(x \right) = F_{16}\! \left(x \right) F_{61}\! \left(x \right)
F_{307}\! \left(x \right) = F_{308}\! \left(x \right)
F_{308}\! \left(x \right) = F_{16}\! \left(x \right) F_{25}\! \left(x \right) F_{309}\! \left(x \right)
F_{309}\! \left(x \right) = F_{310}\! \left(x \right)+F_{314}\! \left(x \right)
F_{310}\! \left(x \right) = F_{311}\! \left(x \right)
F_{311}\! \left(x \right) = \frac{F_{312}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{312}\! \left(x \right) = F_{313}\! \left(x \right)
F_{313}\! \left(x \right) = -F_{61}\! \left(x \right)+F_{60}\! \left(x \right)
F_{314}\! \left(x \right) = -F_{326}\! \left(x \right)+F_{315}\! \left(x \right)
F_{315}\! \left(x \right) = \frac{F_{316}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{316}\! \left(x \right) = F_{317}\! \left(x \right)
F_{317}\! \left(x \right) = -F_{325}\! \left(x \right)+F_{318}\! \left(x \right)
F_{318}\! \left(x \right) = F_{319}\! \left(x \right)+F_{320}\! \left(x \right)
F_{319}\! \left(x \right) = -F_{109}\! \left(x \right)+F_{30}\! \left(x \right)
F_{320}\! \left(x \right) = -F_{321}\! \left(x \right)+F_{90}\! \left(x \right)
F_{321}\! \left(x \right) = -F_{109}\! \left(x \right)+F_{322}\! \left(x \right)
F_{322}\! \left(x \right) = F_{323}\! \left(x \right)+F_{61}\! \left(x \right)
F_{323}\! \left(x \right) = F_{324}\! \left(x \right)
F_{324}\! \left(x \right) = F_{25}\! \left(x \right) F_{311}\! \left(x \right)
F_{325}\! \left(x \right) = F_{165}\! \left(x \right) F_{61}\! \left(x \right)
F_{326}\! \left(x \right) = F_{165}\! \left(x \right) F_{309}\! \left(x \right)
F_{327}\! \left(x \right) = \frac{F_{328}\! \left(x \right)}{F_{25}\! \left(x \right) F_{329}\! \left(x \right)}
F_{328}\! \left(x \right) = F_{307}\! \left(x \right)
F_{329}\! \left(x \right) = F_{330}\! \left(x \right)+F_{331}\! \left(x \right)
F_{330}\! \left(x \right) = F_{31}\! \left(x \right) F_{61}\! \left(x \right)
F_{331}\! \left(x \right) = -F_{334}\! \left(x \right)+F_{332}\! \left(x \right)
F_{332}\! \left(x \right) = \frac{F_{333}\! \left(x \right)}{F_{25}\! \left(x \right) F_{30}\! \left(x \right)}
F_{333}\! \left(x \right) = F_{93}\! \left(x \right)
F_{334}\! \left(x \right) = F_{31}\! \left(x \right) F_{92}\! \left(x \right)
F_{335}\! \left(x \right) = F_{165}\! \left(x \right) F_{336}\! \left(x \right)
F_{336}\! \left(x \right) = -F_{339}\! \left(x \right)+F_{337}\! \left(x \right)
F_{337}\! \left(x \right) = \frac{F_{338}\! \left(x \right)}{F_{25}\! \left(x \right) F_{5}\! \left(x \right)}
F_{338}\! \left(x \right) = F_{93}\! \left(x \right)
F_{339}\! \left(x \right) = F_{340}\! \left(x \right)
F_{340}\! \left(x \right) = F_{25}\! \left(x \right) F_{341}\! \left(x \right)
F_{341}\! \left(x \right) = \frac{F_{342}\! \left(x \right)}{F_{122}\! \left(x \right) F_{25}\! \left(x \right)}
F_{342}\! \left(x \right) = F_{110}\! \left(x \right)
F_{343}\! \left(x \right) = F_{344}\! \left(x \right)+F_{346}\! \left(x \right)
F_{344}\! \left(x \right) = -F_{305}\! \left(x \right)+F_{345}\! \left(x \right)
F_{345}\! \left(x \right) = F_{153}\! \left(x \right)+F_{42}\! \left(x \right)
F_{346}\! \left(x \right) = F_{347}\! \left(x \right)
F_{347}\! \left(x \right) = -F_{335}\! \left(x \right)+F_{348}\! \left(x \right)
F_{348}\! \left(x \right) = F_{349}\! \left(x \right)+F_{350}\! \left(x \right)
F_{349}\! \left(x \right) = F_{165}\! \left(x \right) F_{2}\! \left(x \right) F_{31}\! \left(x \right)
F_{350}\! \left(x \right) = -F_{356}\! \left(x \right)+F_{351}\! \left(x \right)
F_{351}\! \left(x \right) = \frac{F_{352}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{352}\! \left(x \right) = F_{353}\! \left(x \right)
F_{353}\! \left(x \right) = -F_{354}\! \left(x \right)+F_{267}\! \left(x \right)
F_{354}\! \left(x \right) = F_{355}\! \left(x \right)
F_{355}\! \left(x \right) = F_{0}\! \left(x \right) F_{165}\! \left(x \right) F_{25}\! \left(x \right) F_{54}\! \left(x \right)
F_{356}\! \left(x \right) = F_{0}\! \left(x \right) F_{165}\! \left(x \right) F_{357}\! \left(x \right)
F_{357}\! \left(x \right) = \frac{F_{358}\! \left(x \right)}{F_{0}\! \left(x \right) F_{5}\! \left(x \right)}
F_{358}\! \left(x \right) = -F_{361}\! \left(x \right)+F_{359}\! \left(x \right)
F_{359}\! \left(x \right) = \frac{F_{360}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{360}\! \left(x \right) = F_{268}\! \left(x \right)
F_{361}\! \left(x \right) = -F_{365}\! \left(x \right)+F_{362}\! \left(x \right)
F_{362}\! \left(x \right) = \frac{F_{363}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{363}\! \left(x \right) = F_{364}\! \left(x \right)
F_{364}\! \left(x \right) = -F_{264}\! \left(x \right)+F_{47}\! \left(x \right)
F_{365}\! \left(x \right) = F_{366}\! \left(x \right)
F_{366}\! \left(x \right) = F_{0}\! \left(x \right) F_{25}\! \left(x \right) F_{367}\! \left(x \right) F_{5}\! \left(x \right)
F_{367}\! \left(x \right) = \frac{F_{368}\! \left(x \right)}{F_{122}\! \left(x \right) F_{25}\! \left(x \right)}
F_{368}\! \left(x \right) = F_{369}\! \left(x \right)
F_{369}\! \left(x \right) = \frac{F_{370}\! \left(x \right)}{F_{0}\! \left(x \right)}
F_{370}\! \left(x \right) = F_{371}\! \left(x \right)
F_{371}\! \left(x \right) = -F_{374}\! \left(x \right)+F_{372}\! \left(x \right)
F_{372}\! \left(x \right) = \frac{F_{373}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{373}\! \left(x \right) = F_{364}\! \left(x \right)
F_{374}\! \left(x \right) = F_{375}\! \left(x \right)
F_{375}\! \left(x \right) = F_{116}\! \left(x \right) F_{25}\! \left(x \right) F_{37}\! \left(x \right)
F_{376}\! \left(x \right) = F_{264}\! \left(x \right)+F_{377}\! \left(x \right)
F_{377}\! \left(x \right) = F_{378}\! \left(x \right)
F_{378}\! \left(x \right) = F_{25}\! \left(x \right) F_{379}\! \left(x \right)
F_{379}\! \left(x \right) = F_{380}\! \left(x \right)
F_{380}\! \left(x \right) = F_{162}\! \left(x \right) F_{246}\! \left(x \right) F_{25}\! \left(x \right) F_{30}\! \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_25(x)*F_4(x))
Eq(F_4(x), F_5(x) + F_6(x))
Eq(F_5(x), x*(x - 2)*F_5(x)**2 + (x + 2)*F_5(x) - 1)
Eq(F_6(x), F_2(x) + F_7(x))
Eq(F_7(x), F_8(x))
Eq(F_8(x), F_25(x)*F_9(x))
Eq(F_9(x), F_10(x) + F_376(x))
Eq(F_10(x), F_11(x) + F_300(x))
Eq(F_11(x), F_12(x) + F_2(x))
Eq(F_12(x), F_13(x))
Eq(F_13(x), F_14(x)*F_25(x))
Eq(F_14(x), F_15(x) + F_34(x))
Eq(F_15(x), F_16(x)*F_2(x))
Eq(F_16(x), F_17(x) + F_5(x))
Eq(F_17(x), F_18(x))
Eq(F_18(x), F_19(x)*F_25(x)*F_31(x))
Eq(F_19(x), F_20(x) + F_5(x))
Eq(F_20(x), F_21(x))
Eq(F_21(x), F_22(x)*F_25(x)*F_26(x))
Eq(F_22(x), F_1(x) + F_23(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_22(x)*F_25(x))
Eq(F_25(x), x)
Eq(F_26(x), F_27(x)/(F_22(x)*F_25(x)))
Eq(F_27(x), F_28(x))
Eq(F_28(x), F_29(x))
Eq(F_29(x), F_25(x)*F_30(x)*F_31(x))
Eq(F_30(x), F_28(x) + F_5(x))
Eq(F_31(x), F_22(x) + F_32(x))
Eq(F_32(x), F_33(x))
Eq(F_33(x), F_25(x)*F_31(x)**2)
Eq(F_34(x), F_35(x))
Eq(F_35(x), F_25(x)*F_36(x))
Eq(F_36(x), F_37(x) + F_52(x))
Eq(F_37(x), F_38(x) + F_50(x))
Eq(F_38(x), F_39(x)/F_25(x))
Eq(F_39(x), F_40(x))
Eq(F_40(x), F_41(x))
Eq(F_41(x), F_25(x)*F_42(x))
Eq(F_42(x), F_43(x) + F_47(x))
Eq(F_43(x), F_30(x) + F_44(x))
Eq(F_44(x), F_45(x) + F_6(x))
Eq(F_45(x), F_46(x))
Eq(F_46(x), F_2(x)*F_22(x)*F_25(x)*F_26(x))
Eq(F_47(x), -F_44(x) + F_48(x))
Eq(F_48(x), F_49(x)/F_25(x))
Eq(F_49(x), F_7(x))
Eq(F_50(x), F_51(x))
Eq(F_51(x), F_25(x)*F_36(x))
Eq(F_52(x), F_53(x))
Eq(F_53(x), F_0(x)*F_17(x)*F_54(x))
Eq(F_54(x), F_55(x)/(F_0(x)*F_25(x)*F_5(x)))
Eq(F_55(x), F_56(x))
Eq(F_56(x), -F_4(x) + F_57(x))
Eq(F_57(x), -F_263(x) + F_58(x))
Eq(F_58(x), F_129(x) + F_59(x))
Eq(F_59(x), F_123(x) + F_60(x))
Eq(F_60(x), F_61(x) + F_62(x))
Eq(F_61(x), x**2 + 8*x + (x**2 + 4*x - 1)*F_61(x)**2 + (2*x**2 - 13*x + 4)*F_61(x) - 2)
Eq(F_62(x), F_63(x))
Eq(F_63(x), F_25(x)*F_64(x))
Eq(F_64(x), F_65(x)/F_25(x))
Eq(F_65(x), F_66(x))
Eq(F_66(x), -F_61(x) + F_67(x))
Eq(F_67(x), F_68(x) + F_81(x))
Eq(F_68(x), F_1(x) + F_69(x))
Eq(F_69(x), F_70(x))
Eq(F_70(x), F_25(x)*F_71(x))
Eq(F_71(x), F_72(x) + F_73(x))
Eq(F_72(x), F_1(x) + F_25(x))
Eq(F_73(x), F_69(x) + F_74(x))
Eq(F_74(x), F_75(x) + F_76(x) + F_80(x))
Eq(F_75(x), 0)
Eq(F_76(x), F_25(x)*F_77(x))
Eq(F_77(x), F_78(x) + F_79(x))
Eq(F_78(x), F_25(x))
Eq(F_79(x), F_74(x))
Eq(F_80(x), F_25(x)*F_69(x))
Eq(F_81(x), F_82(x))
Eq(F_82(x), F_25(x)*F_83(x))
Eq(F_83(x), F_84(x)/F_25(x))
Eq(F_84(x), F_85(x))
Eq(F_85(x), -F_68(x) + F_86(x))
Eq(F_86(x), F_87(x)/F_122(x))
Eq(F_87(x), -F_110(x) + F_88(x))
Eq(F_88(x), F_89(x)/F_25(x))
Eq(F_89(x), F_90(x))
Eq(F_90(x), F_91(x) + F_93(x))
Eq(F_91(x), F_5(x)*F_92(x))
Eq(F_92(x), x**2 + 8*x + (F_92(x) + 1)**2*(x**2 + 4*x - 1) + (F_92(x) + 1)*(2*x**2 - 13*x + 3) + F_92(x) - 2)
Eq(F_93(x), F_94(x))
Eq(F_94(x), F_25(x)*F_95(x))
Eq(F_95(x), F_96(x) + F_97(x))
Eq(F_96(x), F_28(x)*F_67(x))
Eq(F_97(x), F_98(x))
Eq(F_98(x), F_25(x)*F_31(x)*F_99(x))
Eq(F_99(x), F_100(x)/F_25(x))
Eq(F_100(x), F_101(x))
Eq(F_101(x), F_102(x) + F_103(x))
Eq(F_102(x), F_26(x)*F_92(x))
Eq(F_103(x), F_104(x)*F_107(x))
Eq(F_104(x), -F_101(x) + F_105(x))
Eq(F_105(x), F_106(x)/(F_22(x)*F_25(x)))
Eq(F_106(x), F_93(x))
Eq(F_107(x), F_108(x))
Eq(F_108(x), F_109(x)**2*F_25(x))
Eq(F_109(x), F_1(x) + F_107(x))
Eq(F_110(x), F_111(x) - F_113(x))
Eq(F_111(x), F_112(x)/F_25(x))
Eq(F_112(x), F_93(x))
Eq(F_113(x), F_114(x)*F_86(x))
Eq(F_114(x), F_115(x))
Eq(F_115(x), F_116(x)*F_25(x)*F_5(x))
Eq(F_116(x), F_117(x) + F_22(x))
Eq(F_117(x), F_118(x) + F_23(x))
Eq(F_118(x), F_119(x) + F_121(x) + F_75(x))
Eq(F_119(x), F_120(x)*F_25(x))
Eq(F_120(x), F_118(x) + F_23(x))
Eq(F_121(x), F_117(x)*F_25(x))
Eq(F_122(x), F_114(x) + F_5(x))
Eq(F_123(x), F_124(x) - F_129(x))
Eq(F_124(x), F_125(x)/F_25(x))
Eq(F_125(x), F_126(x))
Eq(F_126(x), F_127(x) - F_2(x))
Eq(F_127(x), F_128(x) - F_61(x))
Eq(F_128(x), F_0(x) + F_40(x))
Eq(F_129(x), F_130(x))
Eq(F_130(x), F_131(x)*F_25(x))
Eq(F_131(x), F_132(x)/F_25(x))
Eq(F_132(x), F_133(x))
Eq(F_133(x), F_134(x) + F_40(x))
Eq(F_134(x), F_135(x))
Eq(F_135(x), F_136(x)*F_25(x))
Eq(F_136(x), F_137(x) + F_148(x))
Eq(F_137(x), F_138(x))
Eq(F_138(x), F_139(x)*F_25(x))
Eq(F_139(x), F_140(x)/F_25(x))
Eq(F_140(x), F_141(x))
Eq(F_141(x), F_142(x) - F_144(x))
Eq(F_142(x), F_143(x)/F_25(x))
Eq(F_143(x), F_7(x))
Eq(F_144(x), F_145(x))
Eq(F_145(x), F_146(x)*F_25(x))
Eq(F_146(x), F_147(x)/F_25(x))
Eq(F_147(x), F_10(x))
Eq(F_148(x), F_149(x))
Eq(F_149(x), F_150(x)*F_25(x))
Eq(F_150(x), F_151(x) + F_166(x))
Eq(F_151(x), F_152(x)/F_25(x))
Eq(F_152(x), F_153(x))
Eq(F_153(x), F_154(x)/F_25(x))
Eq(F_154(x), F_155(x))
Eq(F_155(x), F_156(x) - F_164(x))
Eq(F_156(x), F_157(x))
Eq(F_157(x), F_158(x)*F_25(x))
Eq(F_158(x), F_159(x) + F_161(x))
Eq(F_159(x), F_160(x) + F_59(x))
Eq(F_160(x), F_156(x))
Eq(F_161(x), F_162(x)*F_17(x))
Eq(F_162(x), F_163(x)/(F_22(x)*F_25(x)*F_5(x)))
Eq(F_163(x), F_56(x))
Eq(F_164(x), F_12(x) + F_165(x))
Eq(F_165(x), x*(x - 2)*(F_165(x) + 1)**2 + (x + 1)*(F_165(x) + 1) + F_165(x) - 1)
Eq(F_166(x), F_167(x)*F_258(x))
Eq(F_167(x), F_168(x))
Eq(F_168(x), F_169(x)*F_25(x))
Eq(F_169(x), F_170(x)/F_25(x))
Eq(F_170(x), F_171(x))
Eq(F_171(x), F_172(x)/F_193(x))
Eq(F_172(x), F_173(x) - F_257(x))
Eq(F_173(x), F_174(x)/F_25(x))
Eq(F_174(x), F_175(x))
Eq(F_175(x), F_176(x) - F_256(x))
Eq(F_176(x), F_177(x))
Eq(F_177(x), F_178(x)*F_25(x))
Eq(F_178(x), F_179(x) + F_191(x))
Eq(F_179(x), F_180(x) + F_189(x))
Eq(F_180(x), F_181(x)*F_5(x))
Eq(F_181(x), F_0(x) + F_182(x))
Eq(F_182(x), F_183(x))
Eq(F_183(x), F_184(x)*F_25(x))
Eq(F_184(x), F_185(x)/F_25(x))
Eq(F_185(x), F_186(x))
Eq(F_186(x), -F_0(x) + F_187(x))
Eq(F_187(x), F_188(x)/F_25(x))
Eq(F_188(x), F_2(x))
Eq(F_189(x), F_190(x))
Eq(F_190(x), F_178(x)*F_25(x)*F_31(x))
Eq(F_191(x), F_192(x))
Eq(F_192(x), F_193(x)*F_239(x)*F_25(x))
Eq(F_193(x), F_194(x)/F_165(x))
Eq(F_194(x), F_195(x) - F_237(x))
Eq(F_195(x), F_196(x)/F_25(x))
Eq(F_196(x), F_197(x))
Eq(F_197(x), F_198(x)*F_25(x))
Eq(F_198(x), F_199(x) + F_231(x))
Eq(F_199(x), F_200(x) + F_229(x))
Eq(F_200(x), F_201(x)*F_5(x))
Eq(F_201(x), F_202(x))
Eq(F_202(x), F_203(x)*F_25(x))
Eq(F_203(x), F_204(x) + F_205(x))
Eq(F_204(x), F_0(x)*F_22(x))
Eq(F_205(x), F_206(x))
Eq(F_206(x), F_116(x)*F_207(x)*F_208(x)*F_25(x))
Eq(F_207(x), F_0(x) + F_201(x))
Eq(F_208(x), F_209(x) + F_68(x))
Eq(F_209(x), F_210(x) + F_23(x))
Eq(F_210(x), F_211(x) + F_213(x) + F_75(x))
Eq(F_211(x), F_212(x)*F_25(x))
Eq(F_212(x), F_210(x) + F_69(x))
Eq(F_213(x), F_214(x)*F_25(x))
Eq(F_214(x), F_215(x) + F_220(x))
Eq(F_215(x), F_216(x) + F_23(x))
Eq(F_216(x), F_217(x) + F_219(x) + F_75(x))
Eq(F_217(x), F_218(x)*F_25(x))
Eq(F_218(x), F_216(x) + F_25(x))
Eq(F_219(x), F_23(x)*F_25(x))
Eq(F_220(x), F_210(x) + F_221(x))
Eq(F_221(x), F_222(x) + F_224(x) + F_228(x) + F_75(x))
Eq(F_222(x), F_223(x)*F_25(x))
Eq(F_223(x), F_221(x) + F_74(x))
Eq(F_224(x), F_225(x)*F_25(x))
Eq(F_225(x), F_226(x) + F_227(x))
Eq(F_226(x), F_216(x))
Eq(F_227(x), F_221(x))
Eq(F_228(x), F_210(x)*F_25(x))
Eq(F_229(x), F_230(x))
Eq(F_230(x), F_198(x)*F_25(x)*F_31(x))
Eq(F_231(x), F_232(x))
Eq(F_232(x), F_22(x)*F_233(x)*F_25(x))
Eq(F_233(x), F_231(x) + F_234(x))
Eq(F_234(x), F_199(x) + F_235(x))
Eq(F_235(x), F_236(x)/F_25(x))
Eq(F_236(x), F_186(x))
Eq(F_237(x), F_238(x))
Eq(F_238(x), F_233(x)*F_25(x)*F_31(x))
Eq(F_239(x), F_240(x) + F_241(x))
Eq(F_240(x), F_171(x) + F_5(x))
Eq(F_241(x), F_242(x)/F_25(x))
Eq(F_242(x), F_243(x))
Eq(F_243(x), F_19(x)*F_244(x)*F_25(x))
Eq(F_244(x), F_245(x))
Eq(F_245(x), F_246(x)*F_25(x))
Eq(F_246(x), F_247(x) + F_248(x))
Eq(F_247(x), F_22(x)*F_31(x))
Eq(F_248(x), F_249(x))
Eq(F_249(x), F_25(x)*F_250(x)*F_31(x))
Eq(F_250(x), F_251(x)/(F_25(x)*F_30(x)))
Eq(F_251(x), F_252(x))
Eq(F_252(x), F_169(x) - F_253(x))
Eq(F_253(x), F_240(x) + F_254(x))
Eq(F_254(x), F_255(x))
Eq(F_255(x), F_25(x)*F_253(x)*F_31(x))
Eq(F_256(x), F_0(x)*F_165(x))
Eq(F_257(x), F_165(x)*F_184(x))
Eq(F_258(x), F_259(x) + F_261(x))
Eq(F_259(x), F_260(x)/(F_25(x)*F_5(x)))
Eq(F_260(x), F_56(x))
Eq(F_261(x), F_262(x))
Eq(F_262(x), F_25(x)*F_258(x)*F_31(x))
Eq(F_263(x), F_264(x) + F_268(x))
Eq(F_264(x), F_265(x) - F_4(x))
Eq(F_265(x), F_128(x) + F_266(x))
Eq(F_266(x), F_129(x) - F_267(x))
Eq(F_267(x), F_155(x))
Eq(F_268(x), F_269(x))
Eq(F_269(x), F_25(x)*F_270(x))
Eq(F_270(x), F_271(x) + F_279(x))
Eq(F_271(x), F_272(x))
Eq(F_272(x), F_22(x)*F_25(x)*F_273(x))
Eq(F_273(x), F_274(x) + F_58(x))
Eq(F_274(x), F_275(x))
Eq(F_275(x), F_25(x)*F_276(x))
Eq(F_276(x), F_273(x) + F_277(x))
Eq(F_277(x), F_278(x))
Eq(F_278(x), F_162(x)*F_17(x)*F_22(x))
Eq(F_279(x), F_280(x))
Eq(F_280(x), F_25(x)*F_281(x))
Eq(F_281(x), F_282(x) + F_299(x))
Eq(F_282(x), F_22(x)*F_283(x))
Eq(F_283(x), F_284(x) - F_293(x))
Eq(F_284(x), F_285(x)/F_25(x))
Eq(F_285(x), F_286(x))
Eq(F_286(x), F_287(x) - F_289(x))
Eq(F_287(x), F_288(x)/F_25(x))
Eq(F_288(x), F_134(x))
Eq(F_289(x), F_290(x))
Eq(F_290(x), F_25(x)*F_291(x))
Eq(F_291(x), F_292(x)/F_25(x))
Eq(F_292(x), F_264(x))
Eq(F_293(x), F_294(x)*F_296(x))
Eq(F_294(x), F_295(x))
Eq(F_295(x), F_240(x)*F_25(x))
Eq(F_296(x), F_297(x)/(F_25(x)*F_5(x)))
Eq(F_297(x), F_298(x))
Eq(F_298(x), F_25(x)*F_259(x)*F_26(x))
Eq(F_299(x), F_218(x)*F_296(x)*F_5(x))
Eq(F_300(x), F_301(x))
Eq(F_301(x), F_25(x)*F_302(x))
Eq(F_302(x), F_303(x) + F_343(x))
Eq(F_303(x), F_304(x) + F_335(x))
Eq(F_304(x), F_305(x) - F_327(x))
Eq(F_305(x), F_306(x) + F_307(x))
Eq(F_306(x), F_16(x)*F_61(x))
Eq(F_307(x), F_308(x))
Eq(F_308(x), F_16(x)*F_25(x)*F_309(x))
Eq(F_309(x), F_310(x) + F_314(x))
Eq(F_310(x), F_311(x))
Eq(F_311(x), F_312(x)/F_25(x))
Eq(F_312(x), F_313(x))
Eq(F_313(x), F_60(x) - F_61(x))
Eq(F_314(x), F_315(x) - F_326(x))
Eq(F_315(x), F_316(x)/F_25(x))
Eq(F_316(x), F_317(x))
Eq(F_317(x), F_318(x) - F_325(x))
Eq(F_318(x), F_319(x) + F_320(x))
Eq(F_319(x), -F_109(x) + F_30(x))
Eq(F_320(x), -F_321(x) + F_90(x))
Eq(F_321(x), -F_109(x) + F_322(x))
Eq(F_322(x), F_323(x) + F_61(x))
Eq(F_323(x), F_324(x))
Eq(F_324(x), F_25(x)*F_311(x))
Eq(F_325(x), F_165(x)*F_61(x))
Eq(F_326(x), F_165(x)*F_309(x))
Eq(F_327(x), F_328(x)/(F_25(x)*F_329(x)))
Eq(F_328(x), F_307(x))
Eq(F_329(x), F_330(x) + F_331(x))
Eq(F_330(x), F_31(x)*F_61(x))
Eq(F_331(x), F_332(x) - F_334(x))
Eq(F_332(x), F_333(x)/(F_25(x)*F_30(x)))
Eq(F_333(x), F_93(x))
Eq(F_334(x), F_31(x)*F_92(x))
Eq(F_335(x), F_165(x)*F_336(x))
Eq(F_336(x), F_337(x) - F_339(x))
Eq(F_337(x), F_338(x)/(F_25(x)*F_5(x)))
Eq(F_338(x), F_93(x))
Eq(F_339(x), F_340(x))
Eq(F_340(x), F_25(x)*F_341(x))
Eq(F_341(x), F_342(x)/(F_122(x)*F_25(x)))
Eq(F_342(x), F_110(x))
Eq(F_343(x), F_344(x) + F_346(x))
Eq(F_344(x), -F_305(x) + F_345(x))
Eq(F_345(x), F_153(x) + F_42(x))
Eq(F_346(x), F_347(x))
Eq(F_347(x), -F_335(x) + F_348(x))
Eq(F_348(x), F_349(x) + F_350(x))
Eq(F_349(x), F_165(x)*F_2(x)*F_31(x))
Eq(F_350(x), F_351(x) - F_356(x))
Eq(F_351(x), F_352(x)/F_25(x))
Eq(F_352(x), F_353(x))
Eq(F_353(x), F_267(x) - F_354(x))
Eq(F_354(x), F_355(x))
Eq(F_355(x), F_0(x)*F_165(x)*F_25(x)*F_54(x))
Eq(F_356(x), F_0(x)*F_165(x)*F_357(x))
Eq(F_357(x), F_358(x)/(F_0(x)*F_5(x)))
Eq(F_358(x), F_359(x) - F_361(x))
Eq(F_359(x), F_360(x)/F_25(x))
Eq(F_360(x), F_268(x))
Eq(F_361(x), F_362(x) - F_365(x))
Eq(F_362(x), F_363(x)/F_25(x))
Eq(F_363(x), F_364(x))
Eq(F_364(x), -F_264(x) + F_47(x))
Eq(F_365(x), F_366(x))
Eq(F_366(x), F_0(x)*F_25(x)*F_367(x)*F_5(x))
Eq(F_367(x), F_368(x)/(F_122(x)*F_25(x)))
Eq(F_368(x), F_369(x))
Eq(F_369(x), F_370(x)/F_0(x))
Eq(F_370(x), F_371(x))
Eq(F_371(x), F_372(x) - F_374(x))
Eq(F_372(x), F_373(x)/F_25(x))
Eq(F_373(x), F_364(x))
Eq(F_374(x), F_375(x))
Eq(F_375(x), F_116(x)*F_25(x)*F_37(x))
Eq(F_376(x), F_264(x) + F_377(x))
Eq(F_377(x), F_378(x))
Eq(F_378(x), F_25(x)*F_379(x))
Eq(F_379(x), F_380(x))
Eq(F_380(x), F_162(x)*F_246(x)*F_25(x)*F_30(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"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.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": 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, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [2, 0, 3, 1, 4], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [2, 3, 0, 1, 4], [2, 3, 0, 4, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [2, 0, 3, 1, 4], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [2, 3, 0, 1, 4], [2, 3, 0, 4, 1]], "symmetry": 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": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "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], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 2, 0, 3], "pos": [[0, 2], [0, 2], [0, 0], [0, 2]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 2]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 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