01324_01342_03124_03142_03214_10324_10342
Counting sequence:
1, 1, 2, 6, 24, 113, 581, 3149, 17688, 101989, 599990, 3586101, 21710879, 132843231, 820111396, 5101593319, 31943682046, 201161389459, 1273167929273, 8093948392301, 51660831912249, 330912483706821, 2126503144196120, 13705387398815376, 88568137513539628, 573756193115389064, 3725251783089401360, 24237453009110109700, 157999124521669277280, 1031808847416377449692, 6749435263683543988004, 44219251884003209003560, 290126856967013214118018, 1906153920311010612377648, 12539666057646403638905637, 82592302721215995450939800, 544614485824495713497368384, 3595072830672776568026885400, 23755827659861218397449122401, 157128024530618073461420984894, 1040248144674981366489249259416, 6892875765113104869354659055411, 45711552133440758289752392570941, 303386747397569404487108930671832, 2015100171566200053329379824256600, 13394034363163345621860818414429030, 89089643209238934024133873671282152, 592968009856263525500572566511373831, 3949221957750730708663120974036240894, 26318237314664301789857204905747413558, 175491648996398444791668641197212905653, 1170848117461016006946865483742815035755, 7815913579828627994196911463971201179844, 52201763801036079660517573575501342002677, 348825723116160187531112711203837603510397, 2332071381819936574172889542257770505277019, 15598316322401737269788321143496742127887474, 104378027541054739187360386011966295032621845, 698761911692394035067142926303586483913786208, 4679848334612292271406627751135223699693186202, 31355281658605873108489390132165691781144137151, 210164937386390958688044360809013849490274649799, 1409207615031403237839743030215661112150865014128, 9452564641143168034499899471352044491913858143725, 63427752726333361199506921543395617398345036127430, 425754506423047583970380737015904304888950315364960, 2858807579098729453762846616073951411856808242278081, 19202245692112215083333058214680036275140198847364293, 129019816377566410984737774833068673693372766600392410, 867149882582222201130944008470892626643395829814702321, 5829905221960106218575769085229673213427846298336953086, 39206202145235899933471357073160233650357481832564511823, 263736684453457977846487104171817920717136799795514102700, 1774620402085014553627589005460403578106799992454440228607, 11944180740137172998919346212075388040252747846756858409224, 80411870886609317443828277041666928424166644624957905977644, 541494345899253304637972112066927038954774363439923281474235, 3647327954736122712266824015587031155636423187096399131084791, 24573109293573703042660027315978586424979671642901924453633359, 165594992010587534848433280197719098810267308095323883665870361, 1116178244129231651534778847727275653958633647406797128697148215, 7525177503506835929668580508176391369585703987953761712849166802, 50745138804376961268852201704854347083957121032543772952498690609, 342266494446432575128626557688032747484718619424182399316141276071, 2309002479240353700969456986034943748613183260219429407099187656126, 15580176863881608267489328823606865957843981476504605233595510119299, 105149282441423721451734992721328536186928278822855297614049487614324, 709780775894080220622300013957283615503242945020865775968593438104392, 4792082108925569603041787907833541775806612256331324074450548539450686, 32359704074218439397164015263804103374093668161053204837724108534614921, 218556304190219959473683676438630427922258880648351257588002451877434057, 1476382649046203720971480231985206924495916579421183154077631195286361991, 9974925755384294617633470887855699047825096807435789887238065711805907356, 67405286041261180025614203655027964772750417912955815251388256237902154947, 455564879334495119332603729517792918465028070880713233777520648912082509060, 3079477325832178987189277148217482274709999254850046323637802339796994315269, 20819621355455391270989754092475192759430969620263601619895258625976309880521, 140778480939467687948370134998080188479637415674459396133743369866888815665399, 952063658755524742075796074435548973567554981872388559157421590771540922602590, 6439625945883964183080335890314599041338066774534882830577055148453201503227943, 43563117291781683740629715175256810910116052865569215011832893598843615067363221
Specification 1
Strategy pack name: point_placements_tracked_fusion_tracked_component_fusion_symmetries
Tree: http://permpal.com/tree/24727/
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[4,x]*F[7,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[7,x]*F[8,x]
F[7,x] = x
F[8,x] = F[9,x,1]
F[10,x,k[0]] = F[25,x,k[0]]*F[9,x,k[0]]
F[10,x,k[0]] = F[11,x,k[0]]
F[11,x,k[0]] = F[12,x,k[0]]+F[13,x,k[0]]
F[12,x,k[0]] = k[0]*x*(1+F[12,x,k[0]])^2*(x*F[12,x,k[0]]*k[0]+1)
F[13,x,k[0]] = F[14,x,k[0]]
F[14,x,k[0]] = F[15,x,k[0]]*F[7,x]
F[15,x,k[0]] = F[16,x,k[0]]+F[17,x,k[0]]
F[16,x,k[0]] = F[12,x,k[0]]*F[4,x]
F[17,x,k[0]] = F[18,x,k[0]]+F[19,x,k[0]]
F[18,x,k[0]] = -k[0]*(F[11,x,1]-F[11,x,k[0]])/(-1+k[0])
F[19,x,k[0]] = F[20,x,k[0]]
F[20,x,k[0]] = F[21,x,k[0]]*F[25,x,k[0]]
F[21,x,k[0]] = F[22,x,k[0]]+F[26,x,k[0]]
F[22,x,k[0]] = F[12,x,k[0]]*F[23,x,k[0]]
F[24,x,k[0]] = F[23,x,k[0]]*F[25,x,k[0]]
F[24,x,k[0]] = F[18,x,k[0]]
F[25,x,k[0]] = k[0]*x
F[26,x,k[0]] = F[27,x,k[0]]*F[37,x,k[0]]
F[28,x,k[0]] = F[27,x,k[0]]+F[36,x,k[0]]
F[29,x,k[0]] = F[0,x]*F[28,x,k[0]]
F[30,x,k[0]] = F[29,x,k[0]]+F[32,x,k[0]]
F[31,x,k[0]] = F[25,x,k[0]]*F[30,x,k[0]]
F[31,x,k[0]] = F[11,x,k[0]]
F[33,x,k[0]] = F[32,x,k[0]]+F[35,x,k[0]]
F[34,x,k[0]] = F[25,x,k[0]]*F[33,x,k[0]]
F[34,x,k[0]] = F[13,x,k[0]]
F[35,x,k[0]] = F[2,x]*F[28,x,k[0]]
F[36,x,k[0]] = (x*F[36,x,k[0]]*k[0]+1)*(1+x*F[36,x,k[0]]*(F[36,x,k[0]]-1)*k[0])
F[37,x,k[0]] = F[38,x,k[0]]+F[405,x,k[0]]
F[38,x,k[0]] = (F[39,x,k[0]]*k[0]-F[39,x,1])/(-1+k[0])
F[39,x,k[0]] = F[40,x,k[0]]+F[41,x,k[0]]
F[40,x,k[0]] = F[0,x]+F[11,x,k[0]]
F[41,x,k[0]] = F[42,x]+F[44,x,k[0]]
F[42,x] = F[43,x]
F[43,x] = F[7,x]*F[8,x]
F[44,x,k[0]] = F[45,x,k[0]]
F[45,x,k[0]] = F[46,x,k[0]]*F[7,x]
F[46,x,k[0]] = -k[0]*(F[47,x,1]-F[47,x,k[0]])/(-1+k[0])
F[47,x,k[0]] = F[404,x,k[0]]+F[48,x,k[0]]
F[49,x,k[0]] = F[48,x,k[0]]+F[51,x,k[0]]
F[50,x,k[0]] = F[49,x,k[0]]*F[7,x]
F[50,x,k[0]] = F[13,x,k[0]]
F[52,x,k[0]] = F[51,x,k[0]]+F[55,x,k[0]]
F[53,x,k[0]] = F[52,x,k[0]]*F[7,x]
F[53,x,k[0]] = F[54,x,k[0]]
F[54,x,k[0]] = F[13,x,k[0]]+F[2,x]
F[55,x,k[0]] = F[40,x,k[0]]+F[56,x,k[0]]
F[56,x,k[0]] = F[57,x,k[0]]
F[58,x,k[0]] = F[259,x,k[0]]+F[57,x,k[0]]
F[59,x,k[0]] = F[58,x,k[0]]+F[61,x,k[0]]
F[60,x,k[0]] = F[25,x,k[0]]*F[59,x,k[0]]
F[60,x,k[0]] = F[11,x,k[0]]
F[62,x,k[0]] = F[389,x,k[0]]+F[61,x,k[0]]
F[63,x,k[0]] = F[25,x,k[0]]*F[62,x,k[0]]
F[63,x,k[0]] = F[64,x,k[0]]
F[64,x,k[0]] = F[25,x,k[0]]*F[65,x,k[0]]
F[65,x,k[0]] = F[376,x,k[0]]+F[66,x,k[0]]
F[66,x,k[0]] = F[67,x,k[0]]
F[67,x,k[0]] = F[25,x,k[0]]*F[68,x,k[0]]*F[78,x]
F[68,x,k[0]] = F[69,x,k[0]]+F[75,x,k[0]]
F[69,x,k[0]] = F[70,x,k[0]]
F[70,x,k[0]] = F[25,x,k[0]]*F[71,x,k[0]]
F[71,x,k[0]] = F[25,x,k[0]]+F[72,x,k[0]]
F[72,x,k[0]] = F[70,x,k[0]]+F[73,x]+F[74,x,k[0]]
F[73,x] = 0
F[74,x,k[0]] = F[25,x,k[0]]*F[75,x,k[0]]
F[75,x,k[0]] = F[76,x,k[0]]
F[76,x,k[0]] = F[25,x,k[0]]*F[77,x,k[0]]
F[77,x,k[0]] = F[1,x]+F[75,x,k[0]]
F[79,x,k[0]] = F[7,x]*F[78,x]*F[83,x,k[0]]
F[79,x,k[0]] = F[80,x,k[0]]
F[80,x,k[0]] = F[368,x,k[0]]+F[81,x,k[0]]
F[81,x,k[0]] = F[82,x,k[0]]
F[82,x,k[0]] = F[253,x]*F[7,x]*F[83,x,k[0]]
F[83,x,k[0]] = F[84,k[0]*x]
F[84,x] = 1/F[279,x]/F[7,x]*F[85,x]
F[85,x] = F[86,x]
F[86,x] = F[272,x]+F[87,x]
F[87,x] = -F[254,x]+F[88,x]
F[88,x] = F[89,x,1]
F[90,x,k[0]] = F[25,x,k[0]]*F[89,x,k[0]]
F[90,x,k[0]] = F[91,x,k[0]]
F[91,x,k[0]] = F[236,x,k[0]]+F[92,x,k[0]]
F[93,x,k[0]] = F[100,x]*F[92,x,k[0]]
F[94,x,k[0]] = F[93,x,k[0]]+F[95,x,k[0]]
F[94,x,k[0]] = F[119,x,k[0]]+F[95,x,k[0]]
F[95,x,k[0]] = F[118,x,k[0]]+F[96,x]
F[96,x] = F[97,x]
F[97,x] = F[7,x]*F[98,x]
F[98,x] = F[104,x]+F[99,x]
F[99,x] = F[1,x]+F[100,x]
F[100,x] = F[101,x]
F[101,x] = F[102,x]*F[7,x]
F[102,x] = F[103,x]+F[99,x]
F[103,x] = F[100,x]
F[104,x] = F[105,x]+F[96,x]
F[105,x] = F[106,x]+F[115,x]+F[73,x]
F[106,x] = F[107,x]*F[7,x]
F[107,x] = F[108,x]+F[109,x]
F[108,x] = F[100,x]
F[109,x] = F[110,x]
F[110,x] = F[111,x]
F[111,x] = F[112,x]*F[7,x]
F[112,x] = F[113,x]+F[114,x]
F[113,x] = F[110,x]+F[96,x]
F[114,x] = F[110,x]
F[115,x] = F[116,x]*F[7,x]
F[116,x] = F[104,x]+F[117,x]
F[117,x] = F[105,x]
F[118,x,k[0]] = F[100,x]*F[12,x,k[0]]
F[119,x,k[0]] = F[100,x]*F[120,x,k[0]]
F[120,x,k[0]] = F[121,k[0]*x]
F[121,x] = 1/F[100,x]*F[122,x]
F[122,x] = -F[234,x]+F[123,x]
F[123,x] = F[124,x]
F[124,x] = F[125,x]*F[7,x]
F[125,x] = 1/F[7,x]*F[126,x]
F[126,x] = F[127,x]
F[127,x] = F[128,x]*F[7,x]
F[128,x] = F[129,x]+F[173,x]
F[129,x] = F[130,x]+F[170,x]
F[130,x] = F[131,x]+F[132,x]
F[131,x] = F[1,x]+F[96,x]
F[132,x] = F[133,x]
F[133,x] = F[134,x]*F[169,x]*F[7,x]
F[134,x] = F[131,x]+F[135,x]
F[135,x] = F[136,x]+F[139,x]
F[136,x] = F[137,x]
F[137,x] = F[138,x]*F[7,x]
F[138,x] = F[1,x]+F[136,x]
F[139,x] = F[140,x]+F[148,x]+F[73,x]
F[140,x] = F[141,x]*F[7,x]
F[141,x] = F[142,x]+F[145,x]
F[142,x] = F[143,x]
F[143,x] = F[144,x]*F[7,x]
F[144,x] = F[138,x]
F[145,x] = F[140,x]+F[146,x]+F[73,x]
F[146,x] = F[147,x]*F[7,x]
F[147,x] = F[136,x]+F[145,x]
F[148,x] = F[149,x]*F[7,x]
F[149,x] = F[150,x]+F[155,x]
F[150,x] = F[136,x]+F[151,x]
F[151,x] = F[152,x]
F[152,x] = F[153,x]*F[7,x]
F[153,x] = F[150,x]+F[154,x]
F[154,x] = F[151,x]
F[155,x] = F[139,x]+F[156,x]
F[156,x] = 2*F[73,x]+F[157,x]+F[166,x]
F[157,x] = F[158,x]*F[7,x]
F[158,x] = F[159,x]+F[160,x]
F[159,x] = F[151,x]
F[160,x] = F[161,x]
F[161,x] = F[162,x]
F[162,x] = F[163,x]*F[7,x]
F[163,x] = F[164,x]+F[165,x]
F[164,x] = F[139,x]+F[161,x]
F[165,x] = F[161,x]
F[166,x] = F[167,x]*F[7,x]
F[167,x] = F[155,x]+F[168,x]
F[168,x] = F[156,x]
F[169,x] = F[144,x]+F[147,x]
F[170,x] = F[171,x]
F[171,x] = F[144,x]*F[172,x]*F[99,x]
F[172,x] = x*(1+F[172,x])^2*(x*F[172,x]+1)
F[173,x] = F[174,x]
F[174,x] = F[144,x]*F[175,x]*F[99,x]
F[175,x] = 1/F[142,x]*F[176,x]
F[176,x] = -F[232,x]+F[177,x]
F[177,x] = F[178,x]
F[178,x] = F[179,x]*F[7,x]
F[179,x] = F[180,x]+F[190,x]
F[180,x] = -F[186,x]+F[181,x]
F[181,x] = 1/F[7,x]*F[182,x]
F[182,x] = F[183,x]
F[183,x] = -F[0,x]+F[184,x]
F[184,x] = 1/F[7,x]*F[185,x]
F[185,x] = F[2,x]
F[186,x] = -F[177,x]+F[187,x]
F[187,x] = 1/F[7,x]*F[188,x]
F[188,x] = F[189,x]
F[189,x] = -F[172,x]+F[183,x]
F[190,x] = F[191,x]+F[198,x]
F[191,x] = F[192,x]
F[192,x] = F[193,x]*F[7,x]
F[193,x] = F[138,x]+F[194,x]
F[194,x] = F[195,x]+F[7,x]
F[195,x] = F[196,x]+F[197,x]+F[73,x]
F[196,x] = F[136,x]*F[7,x]
F[197,x] = F[194,x]*F[7,x]
F[198,x] = F[199,x]+F[211,x]+F[73,x]
F[199,x] = F[200,x]*F[7,x]
F[200,x] = F[141,x]+F[201,x]
F[201,x] = F[202,x]+F[206,x]
F[202,x] = F[203,x]+F[204,x]+F[73,x]
F[203,x] = F[142,x]*F[7,x]
F[204,x] = F[205,x]*F[7,x]
F[205,x] = F[202,x]+F[7,x]
F[206,x] = F[207,x]+F[208,x]+F[209,x]+F[73,x]
F[207,x] = F[145,x]*F[7,x]
F[208,x] = F[201,x]*F[7,x]
F[209,x] = F[210,x]*F[7,x]
F[210,x] = F[195,x]+F[206,x]
F[211,x] = F[212,x]*F[7,x]
F[212,x] = F[213,x]+F[218,x]
F[213,x] = F[191,x]+F[214,x]
F[214,x] = F[215,x]
F[215,x] = F[216,x]*F[7,x]
F[216,x] = F[213,x]+F[217,x]
F[217,x] = F[214,x]
F[218,x] = F[198,x]+F[219,x]
F[219,x] = 2*F[73,x]+F[220,x]+F[229,x]
F[220,x] = F[221,x]*F[7,x]
F[221,x] = F[222,x]+F[223,x]
F[222,x] = F[214,x]
F[223,x] = F[224,x]
F[224,x] = F[225,x]
F[225,x] = F[226,x]*F[7,x]
F[226,x] = F[227,x]+F[228,x]
F[227,x] = F[198,x]+F[224,x]
F[228,x] = F[224,x]
F[229,x] = F[230,x]*F[7,x]
F[230,x] = F[218,x]+F[231,x]
F[231,x] = F[219,x]
F[232,x] = F[233,x]+F[96,x]
F[233,x] = F[142,x]*F[172,x]
F[234,x] = F[235,x]+F[96,x]
F[235,x] = F[100,x]*F[172,x]
F[237,x,k[0]] = F[236,x,k[0]]+F[248,x,k[0]]
F[238,x,k[0]] = F[237,x,k[0]]+F[246,x,k[0]]
F[238,x,k[0]] = F[239,x,k[0]]+F[94,x,k[0]]
F[240,x,k[0]] = F[239,x,k[0]]+F[242,x,k[0]]
F[241,x,k[0]] = F[240,x,k[0]]*F[25,x,k[0]]
F[241,x,k[0]] = F[11,x,k[0]]
F[242,x,k[0]] = F[243,x,k[0]]+F[245,x,k[0]]
F[243,x,k[0]] = F[131,x]+F[244,x,k[0]]
F[244,x,k[0]] = F[12,x,k[0]]*F[99,x]
F[245,x,k[0]] = F[120,x,k[0]]*F[99,x]
F[246,x,k[0]] = F[247,x,k[0]]
F[247,x,k[0]] = F[23,x,k[0]]*F[7,x]
F[248,x,k[0]] = F[2,x]+F[249,x,k[0]]
F[249,x,k[0]] = F[250,x,k[0]]
F[250,x,k[0]] = F[25,x,k[0]]*F[251,x]*F[28,x,k[0]]
F[251,x] = F[252,x]+F[96,x]
F[252,x] = -F[131,x]+F[253,x]
F[253,x] = F[0,x]+F[42,x]
F[254,x] = F[255,x]+F[260,x]
F[255,x] = F[256,x]*F[257,x]
F[256,x] = 1+x^2*F[256,x]^3+(-x^2+x)*F[256,x]^2
F[257,x] = F[258,x,1]
F[258,x,k[0]] = F[259,x,k[0]]+F[91,x,k[0]]
F[259,x,k[0]] = F[248,x,k[0]]+F[36,x,k[0]]
F[260,x] = -F[270,x]+F[261,x]
F[261,x] = -F[265,x]+F[262,x]
F[262,x] = 1/F[7,x]*F[263,x]
F[263,x] = F[264,x]
F[264,x] = F[236,x,1]
F[265,x] = F[266,x]
F[266,x] = F[267,x]*F[7,x]*F[84,x]
F[267,x] = F[268,x]+F[269,x]
F[268,x] = F[237,x,1]
F[269,x] = F[41,x,1]
F[270,x] = F[271,x,1]
F[271,x,k[0]] = F[237,x,k[0]]*F[256,x]
F[272,x] = F[273,x]
F[273,x] = F[274,x]*F[7,x]*F[84,x]
F[274,x] = 1/F[7,x]*F[275,x]
F[275,x] = F[276,x]
F[276,x] = -F[361,x]+F[277,x]
F[277,x] = F[278,x]
F[278,x] = F[279,x]*F[7,x]
F[279,x] = F[280,x,1]
F[280,x,k[0]] = F[281,x]+F[318,x,k[0]]
F[281,x] = F[282,x,1]
F[282,x,k[0]] = F[283,x,k[0]]+F[39,x,k[0]]
F[284,x,k[0]] = F[283,x,k[0]]*F[7,x]*F[84,x]
F[284,x,k[0]] = F[285,x,k[0]]
F[285,x,k[0]] = F[286,x,k[0]]*F[7,x]
F[286,x,k[0]] = (F[287,x,k[0]]*k[0]-F[287,x,1])/(-1+k[0])
F[287,x,k[0]] = F[288,x,k[0]]+F[290,x,k[0]]
F[288,x,k[0]] = F[289,x,k[0]]
F[289,x,k[0]] = F[282,x,k[0]]*F[7,x]*F[84,x]
F[290,x,k[0]] = F[291,x,k[0]]
F[291,x,k[0]] = F[292,x,k[0]]*F[7,x]*F[84,x]
F[292,x,k[0]] = F[293,x,k[0]]
F[293,x,k[0]] = F[294,x,k[0]]*F[7,x]
F[294,x,k[0]] = F[295,x,k[0]]+F[306,x]
F[296,x,k[0]] = F[295,x,k[0]]*F[7,x]
F[296,x,k[0]] = F[297,x,k[0]]
F[297,x,k[0]] = F[298,x]+F[305,x,k[0]]
F[298,x] = F[299,x]
F[299,x] = F[300,x]*F[7,x]
F[300,x] = F[301,x,1]
F[301,x,k[0]] = F[302,x]+F[47,x,k[0]]
F[302,x] = F[303,x]+F[304,x]
F[303,x] = F[0,x]+F[298,x]
F[304,x] = F[298,x]
F[48,x,k[0]] = F[11,x,k[0]]+F[305,x,k[0]]
F[306,x] = F[307,x]
F[307,x] = F[138,x]*F[308,x]
F[308,x] = 1/F[7,x]*F[309,x]
F[309,x] = F[310,x]
F[310,x] = -F[311,x]+F[277,x]
F[311,x] = F[312,x]
F[312,x] = F[313,x]*F[7,x]
F[313,x] = F[314,x,1]
F[314,x,k[0]] = F[315,x]+F[318,x,k[0]]
F[315,x] = F[316,x,1]
F[301,x,k[0]] = F[316,x,k[0]]+F[317,x,k[0]]
F[317,x,k[0]] = F[297,x,k[0]]
F[318,x,k[0]] = F[319,x,k[0]]
F[319,x,k[0]] = F[25,x,k[0]]*F[320,x,k[0]]
F[320,x,k[0]] = F[321,x,k[0]]+F[360,x,k[0]]
F[321,x,k[0]] = F[322,x,k[0]]+F[343,x,k[0]]
F[322,x,k[0]] = F[318,x,k[0]]+F[323,x]
F[323,x] = F[315,x]+F[324,x]
F[324,x] = 1/F[138,x]*F[325,x]
F[325,x] = F[326,x]
F[327,x,k[0]] = F[295,x,k[0]]+F[326,x]
F[328,x,k[0]] = F[327,x,k[0]]+F[340,x]
F[329,x,k[0]] = F[328,x,k[0]]*F[7,x]
F[329,x,k[0]] = F[330,x,k[0]]
F[330,x,k[0]] = F[331,x]+F[339,x,k[0]]
F[331,x] = F[332,x]+F[333,x]
F[332,x] = F[100,x]+F[105,x]
F[333,x] = -F[252,x]+F[334,x]
F[334,x] = -F[338,x]+F[335,x]
F[335,x] = 1/F[7,x]*F[336,x]
F[336,x] = F[337,x]
F[337,x] = -F[2,x]+F[252,x]
F[338,x] = F[47,x,1]
F[339,x,k[0]] = F[305,x,k[0]]
F[340,x] = F[341,x]
F[341,x] = F[138,x]*F[342,x]*F[7,x]
F[342,x] = F[294,x,1]
F[343,x,k[0]] = F[344,x,k[0]]
F[344,x,k[0]] = F[25,x,k[0]]*F[345,x,k[0]]
F[345,x,k[0]] = F[346,x,k[0]]+F[349,x,k[0]]
F[346,x,k[0]] = F[322,x,k[0]]*F[347,x,k[0]]
F[347,x,k[0]] = F[348,k[0]*x]
F[348,x] = F[175,x]+F[256,x]
F[349,x,k[0]] = k[0]*F[350,x,k[0]]
F[350,x,k[0]] = F[351,x,k[0]]
F[352,x,k[0]] = F[351,x,k[0]]+F[359,x,k[0]]
F[353,x,k[0]] = F[25,x,k[0]]*F[352,x,k[0]]
F[353,x,k[0]] = F[354,x,k[0]]
F[355,x,k[0]] = F[354,x,k[0]]+F[357,x,k[0]]
F[355,x,k[0]] = F[356,x,k[0]]
F[356,x,k[0]] = F[280,x,k[0]]*F[7,x]*F[83,x,k[0]]
F[357,x,k[0]] = F[358,x,k[0]]
F[358,x,k[0]] = F[280,x,k[0]]*F[7,x]
F[359,x,k[0]] = F[347,x,k[0]]*F[357,x,k[0]]
F[360,x,k[0]] = F[277,x]*F[36,x,k[0]]
F[361,x] = F[362,x,1]
F[362,x,k[0]] = k[0]*F[363,x,k[0]]
F[363,x,k[0]] = F[364,x,k[0]]+F[366,x,k[0]]
F[364,x,k[0]] = F[365,x,k[0]]
F[365,x,k[0]] = F[258,x,k[0]]*F[7,x]
F[366,x,k[0]] = F[367,x,k[0]]
F[367,x,k[0]] = F[41,x,k[0]]*F[7,x]
F[368,x,k[0]] = F[369,x,k[0]]
F[369,x,k[0]] = F[370,x,k[0]]*F[7,x]
F[370,x,k[0]] = F[371,x,k[0]]+F[373,x,k[0]]
F[371,x,k[0]] = F[372,x,k[0]]
F[372,x,k[0]] = F[281,x]*F[7,x]*F[83,x,k[0]]
F[373,x,k[0]] = F[374,x,k[0]]
F[374,x,k[0]] = F[375,x]*F[7,x]*F[83,x,k[0]]
F[375,x] = F[292,x,1]
F[9,x,k[0]] = F[376,x,k[0]]+F[377,x,k[0]]
F[377,x,k[0]] = F[253,x]+F[378,x,k[0]]
F[378,x,k[0]] = F[379,x,k[0]]
F[379,x,k[0]] = F[25,x,k[0]]*F[380,x,k[0]]
F[380,x,k[0]] = F[381,x,k[0]]+F[388,x,k[0]]
F[381,x,k[0]] = F[382,x,k[0]]
F[382,x,k[0]] = F[383,x,k[0]]*F[387,x]
F[383,x,k[0]] = F[1,x]+F[384,x,k[0]]
F[384,x,k[0]] = F[385,x,k[0]]
F[385,x,k[0]] = F[383,x,k[0]]*F[386,x,k[0]]
F[386,x,k[0]] = k[0]*x
F[387,x] = F[253,x]+F[331,x]
F[388,x,k[0]] = F[71,x,k[0]]*F[78,x]
F[389,x,k[0]] = F[390,x,k[0]]
F[390,x,k[0]] = F[25,x,k[0]]*F[391,x,k[0]]
F[391,x,k[0]] = F[392,x,k[0]]+F[394,x,k[0]]
F[392,x,k[0]] = F[387,x]*F[393,x,k[0]]
F[83,x,k[0]] = F[393,x,k[0]]+F[77,x,k[0]]
F[394,x,k[0]] = F[395,x,k[0]]*F[78,x]
F[396,x,k[0]] = F[281,x]*F[395,x,k[0]]
F[397,x,k[0]] = F[396,x,k[0]]+F[402,x,k[0]]
F[398,x,k[0]] = F[25,x,k[0]]*F[397,x,k[0]]
F[398,x,k[0]] = F[399,x,k[0]]
F[399,x,k[0]] = F[25,x,k[0]]*F[400,x,k[0]]*F[77,x,k[0]]
F[400,x,k[0]] = F[343,x,k[0]]+F[401,x,k[0]]
F[401,x,k[0]] = F[12,x,k[0]]*F[277,x]
F[402,x,k[0]] = F[393,x,k[0]]*F[403,x]
F[403,x] = F[277,x]+F[323,x]
F[404,x,k[0]] = F[44,x,k[0]]
F[405,x,k[0]] = F[406,x,k[0]]
F[406,x,k[0]] = F[407,x,k[0]]*F[7,x]
F[407,x,k[0]] = F[340,x]+F[408,x,k[0]]
F[408,x,k[0]] = (F[327,x,k[0]]*k[0]-F[327,x,1])/(-1+k[0])
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_{4}\! \left(x \right) F_{7}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right) F_{8}\! \left(x \right)
F_{7}\! \left(x \right) = x
F_{8}\! \left(x \right) = F_{9}\! \left(x , 1\right)
F_{10}\! \left(x , y\right) = F_{25}\! \left(x , y\right) F_{9}\! \left(x , y\right)
F_{10}\! \left(x , y\right) = F_{11}\! \left(x , y\right)
F_{11}\! \left(x , y\right) = F_{12}\! \left(x , y\right)+F_{13}\! \left(x , y\right)
F_{12}\! \left(x , y\right) = x^{2} F_{12}\! \left(x , y\right)^{3} y^{2}+2 x^{2} F_{12}\! \left(x , y\right)^{2} y^{2}+x^{2} F_{12}\! \left(x , y\right) y^{2}+x F_{12}\! \left(x , y\right)^{2} y +2 x F_{12}\! \left(x , y\right) y +y x
F_{13}\! \left(x , y\right) = F_{14}\! \left(x , y\right)
F_{14}\! \left(x , y\right) = F_{15}\! \left(x , y\right) F_{7}\! \left(x \right)
F_{15}\! \left(x , y\right) = F_{16}\! \left(x , y\right)+F_{17}\! \left(x , y\right)
F_{16}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{17}\! \left(x , y\right) = F_{18}\! \left(x , y\right)+F_{19}\! \left(x , y\right)
F_{18}\! \left(x , y\right) = -\frac{y \left(F_{11}\! \left(x , 1\right)-F_{11}\! \left(x , y\right)\right)}{-1+y}
F_{19}\! \left(x , y\right) = F_{20}\! \left(x , y\right)
F_{20}\! \left(x , y\right) = F_{21}\! \left(x , y\right) F_{25}\! \left(x , y\right)
F_{21}\! \left(x , y\right) = F_{22}\! \left(x , y\right)+F_{26}\! \left(x , y\right)
F_{22}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{23}\! \left(x , y\right)
F_{24}\! \left(x , y\right) = F_{23}\! \left(x , y\right) F_{25}\! \left(x , y\right)
F_{24}\! \left(x , y\right) = F_{18}\! \left(x , y\right)
F_{25}\! \left(x , y\right) = y x
F_{26}\! \left(x , y\right) = F_{27}\! \left(x , y\right) F_{37}\! \left(x , y\right)
F_{28}\! \left(x , y\right) = F_{27}\! \left(x , y\right)+F_{36}\! \left(x , y\right)
F_{29}\! \left(x , y\right) = F_{0}\! \left(x \right) F_{28}\! \left(x , y\right)
F_{30}\! \left(x , y\right) = F_{29}\! \left(x , y\right)+F_{32}\! \left(x , y\right)
F_{31}\! \left(x , y\right) = F_{25}\! \left(x , y\right) F_{30}\! \left(x , y\right)
F_{31}\! \left(x , y\right) = F_{11}\! \left(x , y\right)
F_{33}\! \left(x , y\right) = F_{32}\! \left(x , y\right)+F_{35}\! \left(x , y\right)
F_{34}\! \left(x , y\right) = F_{25}\! \left(x , y\right) F_{33}\! \left(x , y\right)
F_{34}\! \left(x , y\right) = F_{13}\! \left(x , y\right)
F_{35}\! \left(x , y\right) = F_{2}\! \left(x \right) F_{28}\! \left(x , y\right)
F_{36}\! \left(x , y\right) = y^{2} x^{2} F_{36}\! \left(x , y\right)^{3}-x^{2} F_{36}\! \left(x , y\right)^{2} y^{2}+y x F_{36}\! \left(x , y\right)^{2}+1
F_{37}\! \left(x , y\right) = F_{38}\! \left(x , y\right)+F_{405}\! \left(x , y\right)
F_{38}\! \left(x , y\right) = -\frac{-F_{39}\! \left(x , y\right) y +F_{39}\! \left(x , 1\right)}{-1+y}
F_{39}\! \left(x , y\right) = F_{40}\! \left(x , y\right)+F_{41}\! \left(x , y\right)
F_{40}\! \left(x , y\right) = F_{0}\! \left(x \right)+F_{11}\! \left(x , y\right)
F_{41}\! \left(x , y\right) = F_{42}\! \left(x \right)+F_{44}\! \left(x , y\right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{7}\! \left(x \right) F_{8}\! \left(x \right)
F_{44}\! \left(x , y\right) = F_{45}\! \left(x , y\right)
F_{45}\! \left(x , y\right) = F_{46}\! \left(x , y\right) F_{7}\! \left(x \right)
F_{46}\! \left(x , y\right) = -\frac{y \left(F_{47}\! \left(x , 1\right)-F_{47}\! \left(x , y\right)\right)}{-1+y}
F_{47}\! \left(x , y\right) = F_{404}\! \left(x , y\right)+F_{48}\! \left(x , y\right)
F_{49}\! \left(x , y\right) = F_{48}\! \left(x , y\right)+F_{51}\! \left(x , y\right)
F_{50}\! \left(x , y\right) = F_{49}\! \left(x , y\right) F_{7}\! \left(x \right)
F_{50}\! \left(x , y\right) = F_{13}\! \left(x , y\right)
F_{52}\! \left(x , y\right) = F_{51}\! \left(x , y\right)+F_{55}\! \left(x , y\right)
F_{53}\! \left(x , y\right) = F_{52}\! \left(x , y\right) F_{7}\! \left(x \right)
F_{53}\! \left(x , y\right) = F_{54}\! \left(x , y\right)
F_{54}\! \left(x , y\right) = F_{13}\! \left(x , y\right)+F_{2}\! \left(x \right)
F_{55}\! \left(x , y\right) = F_{40}\! \left(x , y\right)+F_{56}\! \left(x , y\right)
F_{56}\! \left(x , y\right) = F_{57}\! \left(x , y\right)
F_{58}\! \left(x , y\right) = F_{259}\! \left(x , y\right)+F_{57}\! \left(x , y\right)
F_{59}\! \left(x , y\right) = F_{58}\! \left(x , y\right)+F_{61}\! \left(x , y\right)
F_{60}\! \left(x , y\right) = F_{25}\! \left(x , y\right) F_{59}\! \left(x , y\right)
F_{60}\! \left(x , y\right) = F_{11}\! \left(x , y\right)
F_{62}\! \left(x , y\right) = F_{389}\! \left(x , y\right)+F_{61}\! \left(x , y\right)
F_{63}\! \left(x , y\right) = F_{25}\! \left(x , y\right) F_{62}\! \left(x , y\right)
F_{63}\! \left(x , y\right) = F_{64}\! \left(x , y\right)
F_{64}\! \left(x , y\right) = F_{25}\! \left(x , y\right) F_{65}\! \left(x , y\right)
F_{65}\! \left(x , y\right) = F_{376}\! \left(x , y\right)+F_{66}\! \left(x , y\right)
F_{66}\! \left(x , y\right) = F_{67}\! \left(x , y\right)
F_{67}\! \left(x , y\right) = F_{25}\! \left(x , y\right) F_{68}\! \left(x , y\right) F_{78}\! \left(x \right)
F_{68}\! \left(x , y\right) = F_{69}\! \left(x , y\right)+F_{75}\! \left(x , y\right)
F_{69}\! \left(x , y\right) = F_{70}\! \left(x , y\right)
F_{70}\! \left(x , y\right) = F_{25}\! \left(x , y\right) F_{71}\! \left(x , y\right)
F_{71}\! \left(x , y\right) = F_{25}\! \left(x , y\right)+F_{72}\! \left(x , y\right)
F_{72}\! \left(x , y\right) = F_{70}\! \left(x , y\right)+F_{73}\! \left(x \right)+F_{74}\! \left(x , y\right)
F_{73}\! \left(x \right) = 0
F_{74}\! \left(x , y\right) = F_{25}\! \left(x , y\right) F_{75}\! \left(x , y\right)
F_{75}\! \left(x , y\right) = F_{76}\! \left(x , y\right)
F_{76}\! \left(x , y\right) = F_{25}\! \left(x , y\right) F_{77}\! \left(x , y\right)
F_{77}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{75}\! \left(x , y\right)
F_{79}\! \left(x , y\right) = F_{7}\! \left(x \right) F_{78}\! \left(x \right) F_{83}\! \left(x , y\right)
F_{79}\! \left(x , y\right) = F_{80}\! \left(x , y\right)
F_{80}\! \left(x , y\right) = F_{368}\! \left(x , y\right)+F_{81}\! \left(x , y\right)
F_{81}\! \left(x , y\right) = F_{82}\! \left(x , y\right)
F_{82}\! \left(x , y\right) = F_{253}\! \left(x \right) F_{7}\! \left(x \right) F_{83}\! \left(x , y\right)
F_{83}\! \left(x , y\right) = F_{84}\! \left(y x \right)
F_{84}\! \left(x \right) = \frac{F_{85}\! \left(x \right)}{F_{279}\! \left(x \right) F_{7}\! \left(x \right)}
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{272}\! \left(x \right)+F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = -F_{254}\! \left(x \right)+F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{89}\! \left(x , 1\right)
F_{90}\! \left(x , y\right) = F_{25}\! \left(x , y\right) F_{89}\! \left(x , y\right)
F_{90}\! \left(x , y\right) = F_{91}\! \left(x , y\right)
F_{91}\! \left(x , y\right) = F_{236}\! \left(x , y\right)+F_{92}\! \left(x , y\right)
F_{93}\! \left(x , y\right) = F_{100}\! \left(x \right) F_{92}\! \left(x , y\right)
F_{94}\! \left(x , y\right) = F_{93}\! \left(x , y\right)+F_{95}\! \left(x , y\right)
F_{94}\! \left(x , y\right) = F_{119}\! \left(x , y\right)+F_{95}\! \left(x , y\right)
F_{95}\! \left(x , y\right) = F_{118}\! \left(x , y\right)+F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{7}\! \left(x \right) F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{104}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{1}\! \left(x \right)+F_{100}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right) F_{7}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)+F_{99}\! \left(x \right)
F_{103}\! \left(x \right) = F_{100}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)+F_{96}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)+F_{115}\! \left(x \right)+F_{73}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right) F_{7}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)+F_{109}\! \left(x \right)
F_{108}\! \left(x \right) = F_{100}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right) F_{7}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)+F_{114}\! \left(x \right)
F_{113}\! \left(x \right) = F_{110}\! \left(x \right)+F_{96}\! \left(x \right)
F_{114}\! \left(x \right) = F_{110}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right) F_{7}\! \left(x \right)
F_{116}\! \left(x \right) = F_{104}\! \left(x \right)+F_{117}\! \left(x \right)
F_{117}\! \left(x \right) = F_{105}\! \left(x \right)
F_{118}\! \left(x , y\right) = F_{100}\! \left(x \right) F_{12}\! \left(x , y\right)
F_{119}\! \left(x , y\right) = F_{100}\! \left(x \right) F_{120}\! \left(x , y\right)
F_{120}\! \left(x , y\right) = F_{121}\! \left(y x \right)
F_{121}\! \left(x \right) = \frac{F_{122}\! \left(x \right)}{F_{100}\! \left(x \right)}
F_{122}\! \left(x \right) = -F_{234}\! \left(x \right)+F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right) F_{7}\! \left(x \right)
F_{125}\! \left(x \right) = \frac{F_{126}\! \left(x \right)}{F_{7}\! \left(x \right)}
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right) F_{7}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)+F_{173}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)+F_{170}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)+F_{132}\! \left(x \right)
F_{131}\! \left(x \right) = F_{1}\! \left(x \right)+F_{96}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right) F_{169}\! \left(x \right) F_{7}\! \left(x \right)
F_{134}\! \left(x \right) = F_{131}\! \left(x \right)+F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right)+F_{139}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right) F_{7}\! \left(x \right)
F_{138}\! \left(x \right) = F_{1}\! \left(x \right)+F_{136}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)+F_{148}\! \left(x \right)+F_{73}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right) F_{7}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)+F_{145}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right) F_{7}\! \left(x \right)
F_{144}\! \left(x \right) = F_{138}\! \left(x \right)
F_{145}\! \left(x \right) = F_{140}\! \left(x \right)+F_{146}\! \left(x \right)+F_{73}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right) F_{7}\! \left(x \right)
F_{147}\! \left(x \right) = F_{136}\! \left(x \right)+F_{145}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right) F_{7}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right)+F_{155}\! \left(x \right)
F_{150}\! \left(x \right) = F_{136}\! \left(x \right)+F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right) F_{7}\! \left(x \right)
F_{153}\! \left(x \right) = F_{150}\! \left(x \right)+F_{154}\! \left(x \right)
F_{154}\! \left(x \right) = F_{151}\! \left(x \right)
F_{155}\! \left(x \right) = F_{139}\! \left(x \right)+F_{156}\! \left(x \right)
F_{156}\! \left(x \right) = 2 F_{73}\! \left(x \right)+F_{157}\! \left(x \right)+F_{166}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right) F_{7}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)+F_{160}\! \left(x \right)
F_{159}\! \left(x \right) = F_{151}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right) F_{7}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right)+F_{165}\! \left(x \right)
F_{164}\! \left(x \right) = F_{139}\! \left(x \right)+F_{161}\! \left(x \right)
F_{165}\! \left(x \right) = F_{161}\! \left(x \right)
F_{166}\! \left(x \right) = F_{167}\! \left(x \right) F_{7}\! \left(x \right)
F_{167}\! \left(x \right) = F_{155}\! \left(x \right)+F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = F_{156}\! \left(x \right)
F_{169}\! \left(x \right) = F_{144}\! \left(x \right)+F_{147}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = F_{144}\! \left(x \right) F_{172}\! \left(x \right) F_{99}\! \left(x \right)
F_{172}\! \left(x \right) = x^{2} F_{172} \left(x \right)^{3}+2 x^{2} F_{172} \left(x \right)^{2}+x^{2} F_{172}\! \left(x \right)+x F_{172} \left(x \right)^{2}+2 x F_{172}\! \left(x \right)+x
F_{173}\! \left(x \right) = F_{174}\! \left(x \right)
F_{174}\! \left(x \right) = F_{144}\! \left(x \right) F_{175}\! \left(x \right) F_{99}\! \left(x \right)
F_{175}\! \left(x \right) = \frac{F_{176}\! \left(x \right)}{F_{142}\! \left(x \right)}
F_{176}\! \left(x \right) = -F_{232}\! \left(x \right)+F_{177}\! \left(x \right)
F_{177}\! \left(x \right) = F_{178}\! \left(x \right)
F_{178}\! \left(x \right) = F_{179}\! \left(x \right) F_{7}\! \left(x \right)
F_{179}\! \left(x \right) = F_{180}\! \left(x \right)+F_{190}\! \left(x \right)
F_{180}\! \left(x \right) = -F_{186}\! \left(x \right)+F_{181}\! \left(x \right)
F_{181}\! \left(x \right) = \frac{F_{182}\! \left(x \right)}{F_{7}\! \left(x \right)}
F_{182}\! \left(x \right) = F_{183}\! \left(x \right)
F_{183}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{184}\! \left(x \right)
F_{184}\! \left(x \right) = \frac{F_{185}\! \left(x \right)}{F_{7}\! \left(x \right)}
F_{185}\! \left(x \right) = F_{2}\! \left(x \right)
F_{186}\! \left(x \right) = -F_{177}\! \left(x \right)+F_{187}\! \left(x \right)
F_{187}\! \left(x \right) = \frac{F_{188}\! \left(x \right)}{F_{7}\! \left(x \right)}
F_{188}\! \left(x \right) = F_{189}\! \left(x \right)
F_{189}\! \left(x \right) = -F_{172}\! \left(x \right)+F_{183}\! \left(x \right)
F_{190}\! \left(x \right) = F_{191}\! \left(x \right)+F_{198}\! \left(x \right)
F_{191}\! \left(x \right) = F_{192}\! \left(x \right)
F_{192}\! \left(x \right) = F_{193}\! \left(x \right) F_{7}\! \left(x \right)
F_{193}\! \left(x \right) = F_{138}\! \left(x \right)+F_{194}\! \left(x \right)
F_{194}\! \left(x \right) = F_{195}\! \left(x \right)+F_{7}\! \left(x \right)
F_{195}\! \left(x \right) = F_{196}\! \left(x \right)+F_{197}\! \left(x \right)+F_{73}\! \left(x \right)
F_{196}\! \left(x \right) = F_{136}\! \left(x \right) F_{7}\! \left(x \right)
F_{197}\! \left(x \right) = F_{194}\! \left(x \right) F_{7}\! \left(x \right)
F_{198}\! \left(x \right) = F_{199}\! \left(x \right)+F_{211}\! \left(x \right)+F_{73}\! \left(x \right)
F_{199}\! \left(x \right) = F_{200}\! \left(x \right) F_{7}\! \left(x \right)
F_{200}\! \left(x \right) = F_{141}\! \left(x \right)+F_{201}\! \left(x \right)
F_{201}\! \left(x \right) = F_{202}\! \left(x \right)+F_{206}\! \left(x \right)
F_{202}\! \left(x \right) = F_{203}\! \left(x \right)+F_{204}\! \left(x \right)+F_{73}\! \left(x \right)
F_{203}\! \left(x \right) = F_{142}\! \left(x \right) F_{7}\! \left(x \right)
F_{204}\! \left(x \right) = F_{205}\! \left(x \right) F_{7}\! \left(x \right)
F_{205}\! \left(x \right) = F_{202}\! \left(x \right)+F_{7}\! \left(x \right)
F_{206}\! \left(x \right) = F_{207}\! \left(x \right)+F_{208}\! \left(x \right)+F_{209}\! \left(x \right)+F_{73}\! \left(x \right)
F_{207}\! \left(x \right) = F_{145}\! \left(x \right) F_{7}\! \left(x \right)
F_{208}\! \left(x \right) = F_{201}\! \left(x \right) F_{7}\! \left(x \right)
F_{209}\! \left(x \right) = F_{210}\! \left(x \right) F_{7}\! \left(x \right)
F_{210}\! \left(x \right) = F_{195}\! \left(x \right)+F_{206}\! \left(x \right)
F_{211}\! \left(x \right) = F_{212}\! \left(x \right) F_{7}\! \left(x \right)
F_{212}\! \left(x \right) = F_{213}\! \left(x \right)+F_{218}\! \left(x \right)
F_{213}\! \left(x \right) = F_{191}\! \left(x \right)+F_{214}\! \left(x \right)
F_{214}\! \left(x \right) = F_{215}\! \left(x \right)
F_{215}\! \left(x \right) = F_{216}\! \left(x \right) F_{7}\! \left(x \right)
F_{216}\! \left(x \right) = F_{213}\! \left(x \right)+F_{217}\! \left(x \right)
F_{217}\! \left(x \right) = F_{214}\! \left(x \right)
F_{218}\! \left(x \right) = F_{198}\! \left(x \right)+F_{219}\! \left(x \right)
F_{219}\! \left(x \right) = 2 F_{73}\! \left(x \right)+F_{220}\! \left(x \right)+F_{229}\! \left(x \right)
F_{220}\! \left(x \right) = F_{221}\! \left(x \right) F_{7}\! \left(x \right)
F_{221}\! \left(x \right) = F_{222}\! \left(x \right)+F_{223}\! \left(x \right)
F_{222}\! \left(x \right) = F_{214}\! \left(x \right)
F_{223}\! \left(x \right) = F_{224}\! \left(x \right)
F_{224}\! \left(x \right) = F_{225}\! \left(x \right)
F_{225}\! \left(x \right) = F_{226}\! \left(x \right) F_{7}\! \left(x \right)
F_{226}\! \left(x \right) = F_{227}\! \left(x \right)+F_{228}\! \left(x \right)
F_{227}\! \left(x \right) = F_{198}\! \left(x \right)+F_{224}\! \left(x \right)
F_{228}\! \left(x \right) = F_{224}\! \left(x \right)
F_{229}\! \left(x \right) = F_{230}\! \left(x \right) F_{7}\! \left(x \right)
F_{230}\! \left(x \right) = F_{218}\! \left(x \right)+F_{231}\! \left(x \right)
F_{231}\! \left(x \right) = F_{219}\! \left(x \right)
F_{232}\! \left(x \right) = F_{233}\! \left(x \right)+F_{96}\! \left(x \right)
F_{233}\! \left(x \right) = F_{142}\! \left(x \right) F_{172}\! \left(x \right)
F_{234}\! \left(x \right) = F_{235}\! \left(x \right)+F_{96}\! \left(x \right)
F_{235}\! \left(x \right) = F_{100}\! \left(x \right) F_{172}\! \left(x \right)
F_{237}\! \left(x , y\right) = F_{236}\! \left(x , y\right)+F_{248}\! \left(x , y\right)
F_{238}\! \left(x , y\right) = F_{237}\! \left(x , y\right)+F_{246}\! \left(x , y\right)
F_{238}\! \left(x , y\right) = F_{239}\! \left(x , y\right)+F_{94}\! \left(x , y\right)
F_{240}\! \left(x , y\right) = F_{239}\! \left(x , y\right)+F_{242}\! \left(x , y\right)
F_{241}\! \left(x , y\right) = F_{240}\! \left(x , y\right) F_{25}\! \left(x , y\right)
F_{241}\! \left(x , y\right) = F_{11}\! \left(x , y\right)
F_{242}\! \left(x , y\right) = F_{243}\! \left(x , y\right)+F_{245}\! \left(x , y\right)
F_{243}\! \left(x , y\right) = F_{131}\! \left(x \right)+F_{244}\! \left(x , y\right)
F_{244}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{99}\! \left(x \right)
F_{245}\! \left(x , y\right) = F_{120}\! \left(x , y\right) F_{99}\! \left(x \right)
F_{246}\! \left(x , y\right) = F_{247}\! \left(x , y\right)
F_{247}\! \left(x , y\right) = F_{23}\! \left(x , y\right) F_{7}\! \left(x \right)
F_{248}\! \left(x , y\right) = F_{2}\! \left(x \right)+F_{249}\! \left(x , y\right)
F_{249}\! \left(x , y\right) = F_{250}\! \left(x , y\right)
F_{250}\! \left(x , y\right) = F_{25}\! \left(x , y\right) F_{251}\! \left(x \right) F_{28}\! \left(x , y\right)
F_{251}\! \left(x \right) = F_{252}\! \left(x \right)+F_{96}\! \left(x \right)
F_{252}\! \left(x \right) = -F_{131}\! \left(x \right)+F_{253}\! \left(x \right)
F_{253}\! \left(x \right) = F_{0}\! \left(x \right)+F_{42}\! \left(x \right)
F_{254}\! \left(x \right) = F_{255}\! \left(x \right)+F_{260}\! \left(x \right)
F_{255}\! \left(x \right) = F_{256}\! \left(x \right) F_{257}\! \left(x \right)
F_{256}\! \left(x \right) = x^{2} F_{256} \left(x \right)^{3}-x^{2} F_{256} \left(x \right)^{2}+x F_{256} \left(x \right)^{2}+1
F_{257}\! \left(x \right) = F_{258}\! \left(x , 1\right)
F_{258}\! \left(x , y\right) = F_{259}\! \left(x , y\right)+F_{91}\! \left(x , y\right)
F_{259}\! \left(x , y\right) = F_{248}\! \left(x , y\right)+F_{36}\! \left(x , y\right)
F_{260}\! \left(x \right) = -F_{270}\! \left(x \right)+F_{261}\! \left(x \right)
F_{261}\! \left(x \right) = -F_{265}\! \left(x \right)+F_{262}\! \left(x \right)
F_{262}\! \left(x \right) = \frac{F_{263}\! \left(x \right)}{F_{7}\! \left(x \right)}
F_{263}\! \left(x \right) = F_{264}\! \left(x \right)
F_{264}\! \left(x \right) = F_{236}\! \left(x , 1\right)
F_{265}\! \left(x \right) = F_{266}\! \left(x \right)
F_{266}\! \left(x \right) = F_{267}\! \left(x \right) F_{7}\! \left(x \right) F_{84}\! \left(x \right)
F_{267}\! \left(x \right) = F_{268}\! \left(x \right)+F_{269}\! \left(x \right)
F_{268}\! \left(x \right) = F_{237}\! \left(x , 1\right)
F_{269}\! \left(x \right) = F_{41}\! \left(x , 1\right)
F_{270}\! \left(x \right) = F_{271}\! \left(x , 1\right)
F_{271}\! \left(x , y\right) = F_{237}\! \left(x , y\right) F_{256}\! \left(x \right)
F_{272}\! \left(x \right) = F_{273}\! \left(x \right)
F_{273}\! \left(x \right) = F_{274}\! \left(x \right) F_{7}\! \left(x \right) F_{84}\! \left(x \right)
F_{274}\! \left(x \right) = \frac{F_{275}\! \left(x \right)}{F_{7}\! \left(x \right)}
F_{275}\! \left(x \right) = F_{276}\! \left(x \right)
F_{276}\! \left(x \right) = -F_{361}\! \left(x \right)+F_{277}\! \left(x \right)
F_{277}\! \left(x \right) = F_{278}\! \left(x \right)
F_{278}\! \left(x \right) = F_{279}\! \left(x \right) F_{7}\! \left(x \right)
F_{279}\! \left(x \right) = F_{280}\! \left(x , 1\right)
F_{280}\! \left(x , y\right) = F_{281}\! \left(x \right)+F_{318}\! \left(x , y\right)
F_{281}\! \left(x \right) = F_{282}\! \left(x , 1\right)
F_{282}\! \left(x , y\right) = F_{283}\! \left(x , y\right)+F_{39}\! \left(x , y\right)
F_{284}\! \left(x , y\right) = F_{283}\! \left(x , y\right) F_{7}\! \left(x \right) F_{84}\! \left(x \right)
F_{284}\! \left(x , y\right) = F_{285}\! \left(x , y\right)
F_{285}\! \left(x , y\right) = F_{286}\! \left(x , y\right) F_{7}\! \left(x \right)
F_{286}\! \left(x , y\right) = -\frac{-F_{287}\! \left(x , y\right) y +F_{287}\! \left(x , 1\right)}{-1+y}
F_{287}\! \left(x , y\right) = F_{288}\! \left(x , y\right)+F_{290}\! \left(x , y\right)
F_{288}\! \left(x , y\right) = F_{289}\! \left(x , y\right)
F_{289}\! \left(x , y\right) = F_{282}\! \left(x , y\right) F_{7}\! \left(x \right) F_{84}\! \left(x \right)
F_{290}\! \left(x , y\right) = F_{291}\! \left(x , y\right)
F_{291}\! \left(x , y\right) = F_{292}\! \left(x , y\right) F_{7}\! \left(x \right) F_{84}\! \left(x \right)
F_{292}\! \left(x , y\right) = F_{293}\! \left(x , y\right)
F_{293}\! \left(x , y\right) = F_{294}\! \left(x , y\right) F_{7}\! \left(x \right)
F_{294}\! \left(x , y\right) = F_{295}\! \left(x , y\right)+F_{306}\! \left(x \right)
F_{296}\! \left(x , y\right) = F_{295}\! \left(x , y\right) F_{7}\! \left(x \right)
F_{296}\! \left(x , y\right) = F_{297}\! \left(x , y\right)
F_{297}\! \left(x , y\right) = F_{298}\! \left(x \right)+F_{305}\! \left(x , y\right)
F_{298}\! \left(x \right) = F_{299}\! \left(x \right)
F_{299}\! \left(x \right) = F_{300}\! \left(x \right) F_{7}\! \left(x \right)
F_{300}\! \left(x \right) = F_{301}\! \left(x , 1\right)
F_{301}\! \left(x , y\right) = F_{302}\! \left(x \right)+F_{47}\! \left(x , y\right)
F_{302}\! \left(x \right) = F_{303}\! \left(x \right)+F_{304}\! \left(x \right)
F_{303}\! \left(x \right) = F_{0}\! \left(x \right)+F_{298}\! \left(x \right)
F_{304}\! \left(x \right) = F_{298}\! \left(x \right)
F_{48}\! \left(x , y\right) = F_{11}\! \left(x , y\right)+F_{305}\! \left(x , y\right)
F_{306}\! \left(x \right) = F_{307}\! \left(x \right)
F_{307}\! \left(x \right) = F_{138}\! \left(x \right) F_{308}\! \left(x \right)
F_{308}\! \left(x \right) = \frac{F_{309}\! \left(x \right)}{F_{7}\! \left(x \right)}
F_{309}\! \left(x \right) = F_{310}\! \left(x \right)
F_{310}\! \left(x \right) = -F_{311}\! \left(x \right)+F_{277}\! \left(x \right)
F_{311}\! \left(x \right) = F_{312}\! \left(x \right)
F_{312}\! \left(x \right) = F_{313}\! \left(x \right) F_{7}\! \left(x \right)
F_{313}\! \left(x \right) = F_{314}\! \left(x , 1\right)
F_{314}\! \left(x , y\right) = F_{315}\! \left(x \right)+F_{318}\! \left(x , y\right)
F_{315}\! \left(x \right) = F_{316}\! \left(x , 1\right)
F_{301}\! \left(x , y\right) = F_{316}\! \left(x , y\right)+F_{317}\! \left(x , y\right)
F_{317}\! \left(x , y\right) = F_{297}\! \left(x , y\right)
F_{318}\! \left(x , y\right) = F_{319}\! \left(x , y\right)
F_{319}\! \left(x , y\right) = F_{25}\! \left(x , y\right) F_{320}\! \left(x , y\right)
F_{320}\! \left(x , y\right) = F_{321}\! \left(x , y\right)+F_{360}\! \left(x , y\right)
F_{321}\! \left(x , y\right) = F_{322}\! \left(x , y\right)+F_{343}\! \left(x , y\right)
F_{322}\! \left(x , y\right) = F_{318}\! \left(x , y\right)+F_{323}\! \left(x \right)
F_{323}\! \left(x \right) = F_{315}\! \left(x \right)+F_{324}\! \left(x \right)
F_{324}\! \left(x \right) = \frac{F_{325}\! \left(x \right)}{F_{138}\! \left(x \right)}
F_{325}\! \left(x \right) = F_{326}\! \left(x \right)
F_{327}\! \left(x , y\right) = F_{295}\! \left(x , y\right)+F_{326}\! \left(x \right)
F_{328}\! \left(x , y\right) = F_{327}\! \left(x , y\right)+F_{340}\! \left(x \right)
F_{329}\! \left(x , y\right) = F_{328}\! \left(x , y\right) F_{7}\! \left(x \right)
F_{329}\! \left(x , y\right) = F_{330}\! \left(x , y\right)
F_{330}\! \left(x , y\right) = F_{331}\! \left(x \right)+F_{339}\! \left(x , y\right)
F_{331}\! \left(x \right) = F_{332}\! \left(x \right)+F_{333}\! \left(x \right)
F_{332}\! \left(x \right) = F_{100}\! \left(x \right)+F_{105}\! \left(x \right)
F_{333}\! \left(x \right) = -F_{252}\! \left(x \right)+F_{334}\! \left(x \right)
F_{334}\! \left(x \right) = -F_{338}\! \left(x \right)+F_{335}\! \left(x \right)
F_{335}\! \left(x \right) = \frac{F_{336}\! \left(x \right)}{F_{7}\! \left(x \right)}
F_{336}\! \left(x \right) = F_{337}\! \left(x \right)
F_{337}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{252}\! \left(x \right)
F_{338}\! \left(x \right) = F_{47}\! \left(x , 1\right)
F_{339}\! \left(x , y\right) = F_{305}\! \left(x , y\right)
F_{340}\! \left(x \right) = F_{341}\! \left(x \right)
F_{341}\! \left(x \right) = F_{138}\! \left(x \right) F_{342}\! \left(x \right) F_{7}\! \left(x \right)
F_{342}\! \left(x \right) = F_{294}\! \left(x , 1\right)
F_{343}\! \left(x , y\right) = F_{344}\! \left(x , y\right)
F_{344}\! \left(x , y\right) = F_{25}\! \left(x , y\right) F_{345}\! \left(x , y\right)
F_{345}\! \left(x , y\right) = F_{346}\! \left(x , y\right)+F_{349}\! \left(x , y\right)
F_{346}\! \left(x , y\right) = F_{322}\! \left(x , y\right) F_{347}\! \left(x , y\right)
F_{347}\! \left(x , y\right) = F_{348}\! \left(y x \right)
F_{348}\! \left(x \right) = F_{175}\! \left(x \right)+F_{256}\! \left(x \right)
F_{349}\! \left(x , y\right) = y F_{350}\! \left(x , y\right)
F_{350}\! \left(x , y\right) = F_{351}\! \left(x , y\right)
F_{352}\! \left(x , y\right) = F_{351}\! \left(x , y\right)+F_{359}\! \left(x , y\right)
F_{353}\! \left(x , y\right) = F_{25}\! \left(x , y\right) F_{352}\! \left(x , y\right)
F_{353}\! \left(x , y\right) = F_{354}\! \left(x , y\right)
F_{355}\! \left(x , y\right) = F_{354}\! \left(x , y\right)+F_{357}\! \left(x , y\right)
F_{355}\! \left(x , y\right) = F_{356}\! \left(x , y\right)
F_{356}\! \left(x , y\right) = F_{280}\! \left(x , y\right) F_{7}\! \left(x \right) F_{83}\! \left(x , y\right)
F_{357}\! \left(x , y\right) = F_{358}\! \left(x , y\right)
F_{358}\! \left(x , y\right) = F_{280}\! \left(x , y\right) F_{7}\! \left(x \right)
F_{359}\! \left(x , y\right) = F_{347}\! \left(x , y\right) F_{357}\! \left(x , y\right)
F_{360}\! \left(x , y\right) = F_{277}\! \left(x \right) F_{36}\! \left(x , y\right)
F_{361}\! \left(x \right) = F_{362}\! \left(x , 1\right)
F_{362}\! \left(x , y\right) = y F_{363}\! \left(x , y\right)
F_{363}\! \left(x , y\right) = F_{364}\! \left(x , y\right)+F_{366}\! \left(x , y\right)
F_{364}\! \left(x , y\right) = F_{365}\! \left(x , y\right)
F_{365}\! \left(x , y\right) = F_{258}\! \left(x , y\right) F_{7}\! \left(x \right)
F_{366}\! \left(x , y\right) = F_{367}\! \left(x , y\right)
F_{367}\! \left(x , y\right) = F_{41}\! \left(x , y\right) F_{7}\! \left(x \right)
F_{368}\! \left(x , y\right) = F_{369}\! \left(x , y\right)
F_{369}\! \left(x , y\right) = F_{370}\! \left(x , y\right) F_{7}\! \left(x \right)
F_{370}\! \left(x , y\right) = F_{371}\! \left(x , y\right)+F_{373}\! \left(x , y\right)
F_{371}\! \left(x , y\right) = F_{372}\! \left(x , y\right)
F_{372}\! \left(x , y\right) = F_{281}\! \left(x \right) F_{7}\! \left(x \right) F_{83}\! \left(x , y\right)
F_{373}\! \left(x , y\right) = F_{374}\! \left(x , y\right)
F_{374}\! \left(x , y\right) = F_{375}\! \left(x \right) F_{7}\! \left(x \right) F_{83}\! \left(x , y\right)
F_{375}\! \left(x \right) = F_{292}\! \left(x , 1\right)
F_{9}\! \left(x , y\right) = F_{376}\! \left(x , y\right)+F_{377}\! \left(x , y\right)
F_{377}\! \left(x , y\right) = F_{253}\! \left(x \right)+F_{378}\! \left(x , y\right)
F_{378}\! \left(x , y\right) = F_{379}\! \left(x , y\right)
F_{379}\! \left(x , y\right) = F_{25}\! \left(x , y\right) F_{380}\! \left(x , y\right)
F_{380}\! \left(x , y\right) = F_{381}\! \left(x , y\right)+F_{388}\! \left(x , y\right)
F_{381}\! \left(x , y\right) = F_{382}\! \left(x , y\right)
F_{382}\! \left(x , y\right) = F_{383}\! \left(x , y\right) F_{387}\! \left(x \right)
F_{383}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{384}\! \left(x , y\right)
F_{384}\! \left(x , y\right) = F_{385}\! \left(x , y\right)
F_{385}\! \left(x , y\right) = F_{383}\! \left(x , y\right) F_{386}\! \left(x , y\right)
F_{386}\! \left(x , y\right) = y x
F_{387}\! \left(x \right) = F_{253}\! \left(x \right)+F_{331}\! \left(x \right)
F_{388}\! \left(x , y\right) = F_{71}\! \left(x , y\right) F_{78}\! \left(x \right)
F_{389}\! \left(x , y\right) = F_{390}\! \left(x , y\right)
F_{390}\! \left(x , y\right) = F_{25}\! \left(x , y\right) F_{391}\! \left(x , y\right)
F_{391}\! \left(x , y\right) = F_{392}\! \left(x , y\right)+F_{394}\! \left(x , y\right)
F_{392}\! \left(x , y\right) = F_{387}\! \left(x \right) F_{393}\! \left(x , y\right)
F_{83}\! \left(x , y\right) = F_{393}\! \left(x , y\right)+F_{77}\! \left(x , y\right)
F_{394}\! \left(x , y\right) = F_{395}\! \left(x , y\right) F_{78}\! \left(x \right)
F_{396}\! \left(x , y\right) = F_{281}\! \left(x \right) F_{395}\! \left(x , y\right)
F_{397}\! \left(x , y\right) = F_{396}\! \left(x , y\right)+F_{402}\! \left(x , y\right)
F_{398}\! \left(x , y\right) = F_{25}\! \left(x , y\right) F_{397}\! \left(x , y\right)
F_{398}\! \left(x , y\right) = F_{399}\! \left(x , y\right)
F_{399}\! \left(x , y\right) = F_{25}\! \left(x , y\right) F_{400}\! \left(x , y\right) F_{77}\! \left(x , y\right)
F_{400}\! \left(x , y\right) = F_{343}\! \left(x , y\right)+F_{401}\! \left(x , y\right)
F_{401}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{277}\! \left(x \right)
F_{402}\! \left(x , y\right) = F_{393}\! \left(x , y\right) F_{403}\! \left(x \right)
F_{403}\! \left(x \right) = F_{277}\! \left(x \right)+F_{323}\! \left(x \right)
F_{404}\! \left(x , y\right) = F_{44}\! \left(x , y\right)
F_{405}\! \left(x , y\right) = F_{406}\! \left(x , y\right)
F_{406}\! \left(x , y\right) = F_{407}\! \left(x , y\right) F_{7}\! \left(x \right)
F_{407}\! \left(x , y\right) = F_{340}\! \left(x \right)+F_{408}\! \left(x , y\right)
F_{408}\! \left(x , y\right) = -\frac{-y F_{327}\! \left(x , y\right)+F_{327}\! \left(x , 1\right)}{-1+y}
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_4(x)*F_7(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x))
Eq(F_6(x), F_7(x)*F_8(x))
Eq(F_7(x), x)
Eq(F_8(x), F_9(x, 1))
Eq(F_10(x, k_0), F_25(x, k_0)*F_9(x, k_0))
Eq(F_10(x, k_0), F_11(x, k_0))
Eq(F_11(x, k_0), F_12(x, k_0) + F_13(x, k_0))
Eq(F_12(x, k_0), k_0**2*x**2*(F_12(x, k_0) + 1)**3 - k_0*x*(k_0*x - 1)*(F_12(x, k_0) + 1)**2)
Eq(F_13(x, k_0), F_14(x, k_0))
Eq(F_14(x, k_0), F_15(x, k_0)*F_7(x))
Eq(F_15(x, k_0), F_16(x, k_0) + F_17(x, k_0))
Eq(F_16(x, k_0), F_12(x, k_0)*F_4(x))
Eq(F_17(x, k_0), F_18(x, k_0) + F_19(x, k_0))
Eq(F_18(x, k_0), -F_11(x, 1) + (-k_0*F_11(x, k_0) + F_11(x, 1))/(1 - k_0))
Eq(F_19(x, k_0), F_20(x, k_0))
Eq(F_20(x, k_0), F_21(x, k_0)*F_25(x, k_0))
Eq(F_21(x, k_0), F_22(x, k_0) + F_26(x, k_0))
Eq(F_22(x, k_0), F_12(x, k_0)*F_23(x, k_0))
Eq(F_24(x, k_0), F_23(x, k_0)*F_25(x, k_0))
Eq(F_24(x, k_0), F_18(x, k_0))
Eq(F_25(x, k_0), k_0*x)
Eq(F_26(x, k_0), F_27(x, k_0)*F_37(x, k_0))
Eq(F_28(x, k_0), F_27(x, k_0) + F_36(x, k_0))
Eq(F_29(x, k_0), F_0(x)*F_28(x, k_0))
Eq(F_30(x, k_0), F_29(x, k_0) + F_32(x, k_0))
Eq(F_31(x, k_0), F_25(x, k_0)*F_30(x, k_0))
Eq(F_31(x, k_0), F_11(x, k_0))
Eq(F_33(x, k_0), F_32(x, k_0) + F_35(x, k_0))
Eq(F_34(x, k_0), F_25(x, k_0)*F_33(x, k_0))
Eq(F_34(x, k_0), F_13(x, k_0))
Eq(F_35(x, k_0), F_2(x)*F_28(x, k_0))
Eq(F_36(x, k_0), k_0**2*x**2*F_36(x, k_0)**3 - k_0*x*(k_0*x - 1)*F_36(x, k_0)**2 + 1)
Eq(F_37(x, k_0), F_38(x, k_0) + F_405(x, k_0))
Eq(F_38(x, k_0), (-k_0*F_39(x, k_0) + F_39(x, 1))/(1 - k_0))
Eq(F_39(x, k_0), F_40(x, k_0) + F_41(x, k_0))
Eq(F_40(x, k_0), F_0(x) + F_11(x, k_0))
Eq(F_41(x, k_0), F_42(x) + F_44(x, k_0))
Eq(F_42(x), F_43(x))
Eq(F_43(x), F_7(x)*F_8(x))
Eq(F_44(x, k_0), F_45(x, k_0))
Eq(F_45(x, k_0), F_46(x, k_0)*F_7(x))
Eq(F_46(x, k_0), -F_47(x, 1) + (-k_0*F_47(x, k_0) + F_47(x, 1))/(1 - k_0))
Eq(F_47(x, k_0), F_404(x, k_0) + F_48(x, k_0))
Eq(F_49(x, k_0), F_48(x, k_0) + F_51(x, k_0))
Eq(F_50(x, k_0), F_49(x, k_0)*F_7(x))
Eq(F_50(x, k_0), F_13(x, k_0))
Eq(F_52(x, k_0), F_51(x, k_0) + F_55(x, k_0))
Eq(F_53(x, k_0), F_52(x, k_0)*F_7(x))
Eq(F_53(x, k_0), F_54(x, k_0))
Eq(F_54(x, k_0), F_13(x, k_0) + F_2(x))
Eq(F_55(x, k_0), F_40(x, k_0) + F_56(x, k_0))
Eq(F_56(x, k_0), F_57(x, k_0))
Eq(F_58(x, k_0), F_259(x, k_0) + F_57(x, k_0))
Eq(F_59(x, k_0), F_58(x, k_0) + F_61(x, k_0))
Eq(F_60(x, k_0), F_25(x, k_0)*F_59(x, k_0))
Eq(F_60(x, k_0), F_11(x, k_0))
Eq(F_62(x, k_0), F_389(x, k_0) + F_61(x, k_0))
Eq(F_63(x, k_0), F_25(x, k_0)*F_62(x, k_0))
Eq(F_63(x, k_0), F_64(x, k_0))
Eq(F_64(x, k_0), F_25(x, k_0)*F_65(x, k_0))
Eq(F_65(x, k_0), F_376(x, k_0) + F_66(x, k_0))
Eq(F_66(x, k_0), F_67(x, k_0))
Eq(F_67(x, k_0), F_25(x, k_0)*F_68(x, k_0)*F_78(x))
Eq(F_68(x, k_0), F_69(x, k_0) + F_75(x, k_0))
Eq(F_69(x, k_0), F_70(x, k_0))
Eq(F_70(x, k_0), F_25(x, k_0)*F_71(x, k_0))
Eq(F_71(x, k_0), F_25(x, k_0) + F_72(x, k_0))
Eq(F_72(x, k_0), F_70(x, k_0) + F_73(x) + F_74(x, k_0))
Eq(F_73(x), 0)
Eq(F_74(x, k_0), F_25(x, k_0)*F_75(x, k_0))
Eq(F_75(x, k_0), F_76(x, k_0))
Eq(F_76(x, k_0), F_25(x, k_0)*F_77(x, k_0))
Eq(F_77(x, k_0), F_1(x) + F_75(x, k_0))
Eq(F_79(x, k_0), F_7(x)*F_78(x)*F_83(x, k_0))
Eq(F_79(x, k_0), F_80(x, k_0))
Eq(F_80(x, k_0), F_368(x, k_0) + F_81(x, k_0))
Eq(F_81(x, k_0), F_82(x, k_0))
Eq(F_82(x, k_0), F_253(x)*F_7(x)*F_83(x, k_0))
Eq(F_83(x, k_0), F_84(k_0*x))
Eq(F_84(x), F_85(x)/(F_279(x)*F_7(x)))
Eq(F_85(x), F_86(x))
Eq(F_86(x), F_272(x) + F_87(x))
Eq(F_87(x), -F_254(x) + F_88(x))
Eq(F_88(x), F_89(x, 1))
Eq(F_90(x, k_0), F_25(x, k_0)*F_89(x, k_0))
Eq(F_90(x, k_0), F_91(x, k_0))
Eq(F_91(x, k_0), F_236(x, k_0) + F_92(x, k_0))
Eq(F_93(x, k_0), F_100(x)*F_92(x, k_0))
Eq(F_94(x, k_0), F_93(x, k_0) + F_95(x, k_0))
Eq(F_94(x, k_0), F_119(x, k_0) + F_95(x, k_0))
Eq(F_95(x, k_0), F_118(x, k_0) + F_96(x))
Eq(F_96(x), F_97(x))
Eq(F_97(x), F_7(x)*F_98(x))
Eq(F_98(x), F_104(x) + F_99(x))
Eq(F_99(x), F_1(x) + F_100(x))
Eq(F_100(x), F_101(x))
Eq(F_101(x), F_102(x)*F_7(x))
Eq(F_102(x), F_103(x) + F_99(x))
Eq(F_103(x), F_100(x))
Eq(F_104(x), F_105(x) + F_96(x))
Eq(F_105(x), F_106(x) + F_115(x) + F_73(x))
Eq(F_106(x), F_107(x)*F_7(x))
Eq(F_107(x), F_108(x) + F_109(x))
Eq(F_108(x), F_100(x))
Eq(F_109(x), F_110(x))
Eq(F_110(x), F_111(x))
Eq(F_111(x), F_112(x)*F_7(x))
Eq(F_112(x), F_113(x) + F_114(x))
Eq(F_113(x), F_110(x) + F_96(x))
Eq(F_114(x), F_110(x))
Eq(F_115(x), F_116(x)*F_7(x))
Eq(F_116(x), F_104(x) + F_117(x))
Eq(F_117(x), F_105(x))
Eq(F_118(x, k_0), F_100(x)*F_12(x, k_0))
Eq(F_119(x, k_0), F_100(x)*F_120(x, k_0))
Eq(F_120(x, k_0), F_121(k_0*x))
Eq(F_121(x), F_122(x)/F_100(x))
Eq(F_122(x), F_123(x) - F_234(x))
Eq(F_123(x), F_124(x))
Eq(F_124(x), F_125(x)*F_7(x))
Eq(F_125(x), F_126(x)/F_7(x))
Eq(F_126(x), F_127(x))
Eq(F_127(x), F_128(x)*F_7(x))
Eq(F_128(x), F_129(x) + F_173(x))
Eq(F_129(x), F_130(x) + F_170(x))
Eq(F_130(x), F_131(x) + F_132(x))
Eq(F_131(x), F_1(x) + F_96(x))
Eq(F_132(x), F_133(x))
Eq(F_133(x), F_134(x)*F_169(x)*F_7(x))
Eq(F_134(x), F_131(x) + F_135(x))
Eq(F_135(x), F_136(x) + F_139(x))
Eq(F_136(x), F_137(x))
Eq(F_137(x), F_138(x)*F_7(x))
Eq(F_138(x), F_1(x) + F_136(x))
Eq(F_139(x), F_140(x) + F_148(x) + F_73(x))
Eq(F_140(x), F_141(x)*F_7(x))
Eq(F_141(x), F_142(x) + F_145(x))
Eq(F_142(x), F_143(x))
Eq(F_143(x), F_144(x)*F_7(x))
Eq(F_144(x), F_138(x))
Eq(F_145(x), F_140(x) + F_146(x) + F_73(x))
Eq(F_146(x), F_147(x)*F_7(x))
Eq(F_147(x), F_136(x) + F_145(x))
Eq(F_148(x), F_149(x)*F_7(x))
Eq(F_149(x), F_150(x) + F_155(x))
Eq(F_150(x), F_136(x) + F_151(x))
Eq(F_151(x), F_152(x))
Eq(F_152(x), F_153(x)*F_7(x))
Eq(F_153(x), F_150(x) + F_154(x))
Eq(F_154(x), F_151(x))
Eq(F_155(x), F_139(x) + F_156(x))
Eq(F_156(x), F_157(x) + F_166(x) + 2*F_73(x))
Eq(F_157(x), F_158(x)*F_7(x))
Eq(F_158(x), F_159(x) + F_160(x))
Eq(F_159(x), F_151(x))
Eq(F_160(x), F_161(x))
Eq(F_161(x), F_162(x))
Eq(F_162(x), F_163(x)*F_7(x))
Eq(F_163(x), F_164(x) + F_165(x))
Eq(F_164(x), F_139(x) + F_161(x))
Eq(F_165(x), F_161(x))
Eq(F_166(x), F_167(x)*F_7(x))
Eq(F_167(x), F_155(x) + F_168(x))
Eq(F_168(x), F_156(x))
Eq(F_169(x), F_144(x) + F_147(x))
Eq(F_170(x), F_171(x))
Eq(F_171(x), F_144(x)*F_172(x)*F_99(x))
Eq(F_172(x), x**2*(F_172(x) + 1)**3 - x*(x - 1)*(F_172(x) + 1)**2)
Eq(F_173(x), F_174(x))
Eq(F_174(x), F_144(x)*F_175(x)*F_99(x))
Eq(F_175(x), F_176(x)/F_142(x))
Eq(F_176(x), F_177(x) - F_232(x))
Eq(F_177(x), F_178(x))
Eq(F_178(x), F_179(x)*F_7(x))
Eq(F_179(x), F_180(x) + F_190(x))
Eq(F_180(x), F_181(x) - F_186(x))
Eq(F_181(x), F_182(x)/F_7(x))
Eq(F_182(x), F_183(x))
Eq(F_183(x), -F_0(x) + F_184(x))
Eq(F_184(x), F_185(x)/F_7(x))
Eq(F_185(x), F_2(x))
Eq(F_186(x), -F_177(x) + F_187(x))
Eq(F_187(x), F_188(x)/F_7(x))
Eq(F_188(x), F_189(x))
Eq(F_189(x), -F_172(x) + F_183(x))
Eq(F_190(x), F_191(x) + F_198(x))
Eq(F_191(x), F_192(x))
Eq(F_192(x), F_193(x)*F_7(x))
Eq(F_193(x), F_138(x) + F_194(x))
Eq(F_194(x), F_195(x) + F_7(x))
Eq(F_195(x), F_196(x) + F_197(x) + F_73(x))
Eq(F_196(x), F_136(x)*F_7(x))
Eq(F_197(x), F_194(x)*F_7(x))
Eq(F_198(x), F_199(x) + F_211(x) + F_73(x))
Eq(F_199(x), F_200(x)*F_7(x))
Eq(F_200(x), F_141(x) + F_201(x))
Eq(F_201(x), F_202(x) + F_206(x))
Eq(F_202(x), F_203(x) + F_204(x) + F_73(x))
Eq(F_203(x), F_142(x)*F_7(x))
Eq(F_204(x), F_205(x)*F_7(x))
Eq(F_205(x), F_202(x) + F_7(x))
Eq(F_206(x), F_207(x) + F_208(x) + F_209(x) + F_73(x))
Eq(F_207(x), F_145(x)*F_7(x))
Eq(F_208(x), F_201(x)*F_7(x))
Eq(F_209(x), F_210(x)*F_7(x))
Eq(F_210(x), F_195(x) + F_206(x))
Eq(F_211(x), F_212(x)*F_7(x))
Eq(F_212(x), F_213(x) + F_218(x))
Eq(F_213(x), F_191(x) + F_214(x))
Eq(F_214(x), F_215(x))
Eq(F_215(x), F_216(x)*F_7(x))
Eq(F_216(x), F_213(x) + F_217(x))
Eq(F_217(x), F_214(x))
Eq(F_218(x), F_198(x) + F_219(x))
Eq(F_219(x), F_220(x) + F_229(x) + 2*F_73(x))
Eq(F_220(x), F_221(x)*F_7(x))
Eq(F_221(x), F_222(x) + F_223(x))
Eq(F_222(x), F_214(x))
Eq(F_223(x), F_224(x))
Eq(F_224(x), F_225(x))
Eq(F_225(x), F_226(x)*F_7(x))
Eq(F_226(x), F_227(x) + F_228(x))
Eq(F_227(x), F_198(x) + F_224(x))
Eq(F_228(x), F_224(x))
Eq(F_229(x), F_230(x)*F_7(x))
Eq(F_230(x), F_218(x) + F_231(x))
Eq(F_231(x), F_219(x))
Eq(F_232(x), F_233(x) + F_96(x))
Eq(F_233(x), F_142(x)*F_172(x))
Eq(F_234(x), F_235(x) + F_96(x))
Eq(F_235(x), F_100(x)*F_172(x))
Eq(F_237(x, k_0), F_236(x, k_0) + F_248(x, k_0))
Eq(F_238(x, k_0), F_237(x, k_0) + F_246(x, k_0))
Eq(F_238(x, k_0), F_239(x, k_0) + F_94(x, k_0))
Eq(F_240(x, k_0), F_239(x, k_0) + F_242(x, k_0))
Eq(F_241(x, k_0), F_240(x, k_0)*F_25(x, k_0))
Eq(F_241(x, k_0), F_11(x, k_0))
Eq(F_242(x, k_0), F_243(x, k_0) + F_245(x, k_0))
Eq(F_243(x, k_0), F_131(x) + F_244(x, k_0))
Eq(F_244(x, k_0), F_12(x, k_0)*F_99(x))
Eq(F_245(x, k_0), F_120(x, k_0)*F_99(x))
Eq(F_246(x, k_0), F_247(x, k_0))
Eq(F_247(x, k_0), F_23(x, k_0)*F_7(x))
Eq(F_248(x, k_0), F_2(x) + F_249(x, k_0))
Eq(F_249(x, k_0), F_250(x, k_0))
Eq(F_250(x, k_0), F_25(x, k_0)*F_251(x)*F_28(x, k_0))
Eq(F_251(x), F_252(x) + F_96(x))
Eq(F_252(x), -F_131(x) + F_253(x))
Eq(F_253(x), F_0(x) + F_42(x))
Eq(F_254(x), F_255(x) + F_260(x))
Eq(F_255(x), F_256(x)*F_257(x))
Eq(F_256(x), x**2*F_256(x)**3 - x*(x - 1)*F_256(x)**2 + 1)
Eq(F_257(x), F_258(x, 1))
Eq(F_258(x, k_0), F_259(x, k_0) + F_91(x, k_0))
Eq(F_259(x, k_0), F_248(x, k_0) + F_36(x, k_0))
Eq(F_260(x), F_261(x) - F_270(x))
Eq(F_261(x), F_262(x) - F_265(x))
Eq(F_262(x), F_263(x)/F_7(x))
Eq(F_263(x), F_264(x))
Eq(F_264(x), F_236(x, 1))
Eq(F_265(x), F_266(x))
Eq(F_266(x), F_267(x)*F_7(x)*F_84(x))
Eq(F_267(x), F_268(x) + F_269(x))
Eq(F_268(x), F_237(x, 1))
Eq(F_269(x), F_41(x, 1))
Eq(F_270(x), F_271(x, 1))
Eq(F_271(x, k_0), F_237(x, k_0)*F_256(x))
Eq(F_272(x), F_273(x))
Eq(F_273(x), F_274(x)*F_7(x)*F_84(x))
Eq(F_274(x), F_275(x)/F_7(x))
Eq(F_275(x), F_276(x))
Eq(F_276(x), F_277(x) - F_361(x))
Eq(F_277(x), F_278(x))
Eq(F_278(x), F_279(x)*F_7(x))
Eq(F_279(x), F_280(x, 1))
Eq(F_280(x, k_0), F_281(x) + F_318(x, k_0))
Eq(F_281(x), F_282(x, 1))
Eq(F_282(x, k_0), F_283(x, k_0) + F_39(x, k_0))
Eq(F_284(x, k_0), F_283(x, k_0)*F_7(x)*F_84(x))
Eq(F_284(x, k_0), F_285(x, k_0))
Eq(F_285(x, k_0), F_286(x, k_0)*F_7(x))
Eq(F_286(x, k_0), (-k_0*F_287(x, k_0) + F_287(x, 1))/(1 - k_0))
Eq(F_287(x, k_0), F_288(x, k_0) + F_290(x, k_0))
Eq(F_288(x, k_0), F_289(x, k_0))
Eq(F_289(x, k_0), F_282(x, k_0)*F_7(x)*F_84(x))
Eq(F_290(x, k_0), F_291(x, k_0))
Eq(F_291(x, k_0), F_292(x, k_0)*F_7(x)*F_84(x))
Eq(F_292(x, k_0), F_293(x, k_0))
Eq(F_293(x, k_0), F_294(x, k_0)*F_7(x))
Eq(F_294(x, k_0), F_295(x, k_0) + F_306(x))
Eq(F_296(x, k_0), F_295(x, k_0)*F_7(x))
Eq(F_296(x, k_0), F_297(x, k_0))
Eq(F_297(x, k_0), F_298(x) + F_305(x, k_0))
Eq(F_298(x), F_299(x))
Eq(F_299(x), F_300(x)*F_7(x))
Eq(F_300(x), F_301(x, 1))
Eq(F_301(x, k_0), F_302(x) + F_47(x, k_0))
Eq(F_302(x), F_303(x) + F_304(x))
Eq(F_303(x), F_0(x) + F_298(x))
Eq(F_304(x), F_298(x))
Eq(F_48(x, k_0), F_11(x, k_0) + F_305(x, k_0))
Eq(F_306(x), F_307(x))
Eq(F_307(x), F_138(x)*F_308(x))
Eq(F_308(x), F_309(x)/F_7(x))
Eq(F_309(x), F_310(x))
Eq(F_310(x), F_277(x) - F_311(x))
Eq(F_311(x), F_312(x))
Eq(F_312(x), F_313(x)*F_7(x))
Eq(F_313(x), F_314(x, 1))
Eq(F_314(x, k_0), F_315(x) + F_318(x, k_0))
Eq(F_315(x), F_316(x, 1))
Eq(F_301(x, k_0), F_316(x, k_0) + F_317(x, k_0))
Eq(F_317(x, k_0), F_297(x, k_0))
Eq(F_318(x, k_0), F_319(x, k_0))
Eq(F_319(x, k_0), F_25(x, k_0)*F_320(x, k_0))
Eq(F_320(x, k_0), F_321(x, k_0) + F_360(x, k_0))
Eq(F_321(x, k_0), F_322(x, k_0) + F_343(x, k_0))
Eq(F_322(x, k_0), F_318(x, k_0) + F_323(x))
Eq(F_323(x), F_315(x) + F_324(x))
Eq(F_324(x), F_325(x)/F_138(x))
Eq(F_325(x), F_326(x))
Eq(F_327(x, k_0), F_295(x, k_0) + F_326(x))
Eq(F_328(x, k_0), F_327(x, k_0) + F_340(x))
Eq(F_329(x, k_0), F_328(x, k_0)*F_7(x))
Eq(F_329(x, k_0), F_330(x, k_0))
Eq(F_330(x, k_0), F_331(x) + F_339(x, k_0))
Eq(F_331(x), F_332(x) + F_333(x))
Eq(F_332(x), F_100(x) + F_105(x))
Eq(F_333(x), -F_252(x) + F_334(x))
Eq(F_334(x), F_335(x) - F_338(x))
Eq(F_335(x), F_336(x)/F_7(x))
Eq(F_336(x), F_337(x))
Eq(F_337(x), -F_2(x) + F_252(x))
Eq(F_338(x), F_47(x, 1))
Eq(F_339(x, k_0), F_305(x, k_0))
Eq(F_340(x), F_341(x))
Eq(F_341(x), F_138(x)*F_342(x)*F_7(x))
Eq(F_342(x), F_294(x, 1))
Eq(F_343(x, k_0), F_344(x, k_0))
Eq(F_344(x, k_0), F_25(x, k_0)*F_345(x, k_0))
Eq(F_345(x, k_0), F_346(x, k_0) + F_349(x, k_0))
Eq(F_346(x, k_0), F_322(x, k_0)*F_347(x, k_0))
Eq(F_347(x, k_0), F_348(k_0*x))
Eq(F_348(x), F_175(x) + F_256(x))
Eq(F_349(x, k_0), k_0*F_350(x, k_0))
Eq(F_350(x, k_0), F_351(x, k_0))
Eq(F_352(x, k_0), F_351(x, k_0) + F_359(x, k_0))
Eq(F_353(x, k_0), F_25(x, k_0)*F_352(x, k_0))
Eq(F_353(x, k_0), F_354(x, k_0))
Eq(F_355(x, k_0), F_354(x, k_0) + F_357(x, k_0))
Eq(F_355(x, k_0), F_356(x, k_0))
Eq(F_356(x, k_0), F_280(x, k_0)*F_7(x)*F_83(x, k_0))
Eq(F_357(x, k_0), F_358(x, k_0))
Eq(F_358(x, k_0), F_280(x, k_0)*F_7(x))
Eq(F_359(x, k_0), F_347(x, k_0)*F_357(x, k_0))
Eq(F_360(x, k_0), F_277(x)*F_36(x, k_0))
Eq(F_361(x), F_362(x, 1))
Eq(F_362(x, k_0), k_0*F_363(x, k_0))
Eq(F_363(x, k_0), F_364(x, k_0) + F_366(x, k_0))
Eq(F_364(x, k_0), F_365(x, k_0))
Eq(F_365(x, k_0), F_258(x, k_0)*F_7(x))
Eq(F_366(x, k_0), F_367(x, k_0))
Eq(F_367(x, k_0), F_41(x, k_0)*F_7(x))
Eq(F_368(x, k_0), F_369(x, k_0))
Eq(F_369(x, k_0), F_370(x, k_0)*F_7(x))
Eq(F_370(x, k_0), F_371(x, k_0) + F_373(x, k_0))
Eq(F_371(x, k_0), F_372(x, k_0))
Eq(F_372(x, k_0), F_281(x)*F_7(x)*F_83(x, k_0))
Eq(F_373(x, k_0), F_374(x, k_0))
Eq(F_374(x, k_0), F_375(x)*F_7(x)*F_83(x, k_0))
Eq(F_375(x), F_292(x, 1))
Eq(F_9(x, k_0), F_376(x, k_0) + F_377(x, k_0))
Eq(F_377(x, k_0), F_253(x) + F_378(x, k_0))
Eq(F_378(x, k_0), F_379(x, k_0))
Eq(F_379(x, k_0), F_25(x, k_0)*F_380(x, k_0))
Eq(F_380(x, k_0), F_381(x, k_0) + F_388(x, k_0))
Eq(F_381(x, k_0), F_382(x, k_0))
Eq(F_382(x, k_0), F_383(x, k_0)*F_387(x))
Eq(F_383(x, k_0), F_1(x) + F_384(x, k_0))
Eq(F_384(x, k_0), F_385(x, k_0))
Eq(F_385(x, k_0), F_383(x, k_0)*F_386(x, k_0))
Eq(F_386(x, k_0), k_0*x)
Eq(F_387(x), F_253(x) + F_331(x))
Eq(F_388(x, k_0), F_71(x, k_0)*F_78(x))
Eq(F_389(x, k_0), F_390(x, k_0))
Eq(F_390(x, k_0), F_25(x, k_0)*F_391(x, k_0))
Eq(F_391(x, k_0), F_392(x, k_0) + F_394(x, k_0))
Eq(F_392(x, k_0), F_387(x)*F_393(x, k_0))
Eq(F_83(x, k_0), F_393(x, k_0) + F_77(x, k_0))
Eq(F_394(x, k_0), F_395(x, k_0)*F_78(x))
Eq(F_396(x, k_0), F_281(x)*F_395(x, k_0))
Eq(F_397(x, k_0), F_396(x, k_0) + F_402(x, k_0))
Eq(F_398(x, k_0), F_25(x, k_0)*F_397(x, k_0))
Eq(F_398(x, k_0), F_399(x, k_0))
Eq(F_399(x, k_0), F_25(x, k_0)*F_400(x, k_0)*F_77(x, k_0))
Eq(F_400(x, k_0), F_343(x, k_0) + F_401(x, k_0))
Eq(F_401(x, k_0), F_12(x, k_0)*F_277(x))
Eq(F_402(x, k_0), F_393(x, k_0)*F_403(x))
Eq(F_403(x), F_277(x) + F_323(x))
Eq(F_404(x, k_0), F_44(x, k_0))
Eq(F_405(x, k_0), F_406(x, k_0))
Eq(F_406(x, k_0), F_407(x, k_0)*F_7(x))
Eq(F_407(x, k_0), F_340(x) + F_408(x, k_0))
Eq(F_408(x, k_0), (-k_0*F_327(x, k_0) + F_327(x, 1))/(1 - k_0))
Pack JSON:
{"name": "point_placements_tracked_fusion_tracked_component_fusion_symmetries", "initial_strats": [{"class_module": "tilings.strategies.rearrange_assumption", "strategy_class": "RearrangeAssumptionFactory"}, {"class_module": "tilings.strategies.assumption_insertion", "strategy_class": "AddAssumptionFactory"}, {"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}, {"class_module": "tilings.strategies.fusion.component", "strategy_class": "ComponentFusionFactory", "tracked": true, "isolation_level": null}, {"class_module": "tilings.strategies.detect_components", "strategy_class": "DetectComponentsStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": true, "workable": true}, {"class_module": "tilings.strategies.monotone_sliding", "strategy_class": "MonotoneSlidingFactory"}, {"class_module": "tilings.strategies.point_jumping", "strategy_class": "AssumptionAndPointJumpingFactory"}, {"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": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "ComponentVerificationStrategy", "ignore_parent": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}], [{"class_module": "tilings.strategies.requirement_placement", "strategy_class": "FusableRowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": true, "place_col": true}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": null}], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "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]]}, 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