01243_01342_02341_10243_10342
Counting sequence:
1, 1, 2, 6, 24, 115, 614, 3508, 20973, 129499, 819019, 5276709, 34500096, 228283163, 1525593748, 10281136499, 69783950005, 476612641306, 3272917323934, 22583373462040, 156494360411106, 1088612168354291, 7598886596543230, 53209614123831849, 373657525457050299, 2630852952015607655, 18568094315579876578, 131342583968138683000, 930979113352561019498, 6611605772701468235795, 47038094829761332216840, 335210120559771181123963, 2392560802939545461308656, 17101943853442407743673820, 122412725012141221006569499, 877347329106284289783228793, 6295767976619806589907587012, 45230242553758337664808365002, 325300991099224861132802191382, 2342035289869224790276454397967, 16878360132708824345805294062609, 121751608162676021877806642333958, 879037105854766503165726860007034, 6351986057438960438688004520134068, 45937221852275689640630584804537785, 332473439206345508377748561046170084, 2408082932543842612209690960856258779, 17453974807221355081907591610775425913, 126593879453893950988089933781049957350, 918785999654742037953745371599294014311, 6672489449549335498989763827755720792260, 48486690024552313200595118637276073556368, 352539810810990947971520714921070518001728, 2564692094866449997013638574541617070884861, 18667867907321106961616400388561620601436926, 135949652964525399903145956920590853341929780, 990552100318721067101658997023434067542881661, 7220790476652238387793081837628080235276604389, 52661487964513936252951519048123797781046794351, 384233833331861178985919721022562123524114481401, 2804695088642137028030799610975226962560270702698, 20481279210358521714130753372170829874120625337107, 149624936338739568342012117306656346736026951373496, 1093504918699649784801739972294446112347626574402414, 7994697119395683245669425094730845470619348794686476, 58471293300362972152149091865132924868738395869296827, 427797189934298098522166473463378486645481884365909208, 3130999867994446179644366947943230262449797387402894034, 22923114474096026746352372994350841857520322456149525656, 167882489799063982110082824175595945799592033719543932992, 1229912794771074191785025907804848081942447141125473014982, 9013147652477085252455228239224307576709822903831307603095, 66070587952903121328170884064952467538231709193335027420378, 484468788016579470799298422239853672039281625909947032149562, 3553415160978153780631371605757587794290041627480772881782783, 26070257791993743410047528816428492637987857778630753402815643, 191320173964656215492198967048473721623066145400586083227365274, 1404394886421561955791028432382040970886785196412796559799597404, 10311641944901220609997787598609999952665492759431714750936646632, 75731004111575573272212318178896119105698749089576322463178202912, 556319407339128460995259370885281670875579547231105770812160528826, 4087678311703578323073797406284837264769853013183479609349322062661, 30041990944351131095143636184573668018687282458302243800794627013530, 220840030023064961192918797664417099826476687750890993912001752331454, 1623759271743626616787813913698635914067073119516974178003536064903767, 11941475886326909313025551359118030584592045128706272365443922741106437, 87838461067755423495882501208396184281911565518104894206530401786260199, 646248712149310127577858856539925957877658512113556908846501816800222098, 4755551665839144563973974194878915637339583864569410632130118266871482243, 35001480072623462462601985965974531320491470381905605323864002828089607150, 257664341873543914002994769102100498443656426794326287875386844275174327792, 1897155007333946465775808493961001247177753472432768615387147292660080609124, 13971084964833433642127706876968109992081587475623688020447940437185508387587, 102904547568831142333747474953066306695133342068007484305392618816104387034399, 758079001700367361729252074462448084815189597983247090638410349239686882342099, 5585579458308733500295940857444459392214549238416306196856327325357143305970797, 41161796491827675198296016313884455913873977768780229838192786205056884850222728, 303382990411990421027848817532213105751965232477262223952571442232718845469755105, 2236441284470882370673712903226493645429996392748255072749729242876591039480813246, 16488901756289906486546722590572873654046927430385339044676774539331457394502100358, 121588513828179313354164596292452229774443085004603841735417416416397668257413617636
Specification 1
Strategy pack name: point_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries
Tree: http://www.permpal.com/tree/25125/
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[5,x]
F[4,x] = x
F[5,x] = F[0,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[4,x]*F[8,x]
F[8,x] = F[402,x]+F[9,x]
F[9,x] = F[10,x]+F[5,x]
F[10,x] = F[11,x]+F[14,x]
F[11,x] = -F[0,x]+F[12,x]
F[12,x] = 1/F[4,x]*F[13,x]
F[13,x] = F[2,x]
F[14,x] = F[15,x,1]
F[15,x,k[0]] = F[16,x,k[0],1]
F[16,x,k[0],k[1]] = F[17,x,k[0],k[1]]
F[17,x,k[0],k[1]] = F[18,x,k[0],k[1]]*F[77,x,k[0]]
F[18,x,k[0],k[1]] = F[19,x,k[0],k[1]]+F[401,x,k[0],k[1]]
F[19,x,k[0],k[1]] = F[20,x,k[1]]+F[399,x,k[0],k[1]]
F[20,x,k[0]] = F[21,x,k[0]]
F[21,x,k[0]] = F[22,x,k[0]]*F[77,x,k[0]]
F[22,x,k[0]] = F[23,x,1,k[0]]
F[23,x,k[0],k[1]] = F[24,x,k[0]*k[1],k[1]]
F[24,x,k[0],k[1]] = F[25,x,k[1]]+F[398,x,k[0],k[1]]
F[26,x,k[0]] = F[25,x,k[0]]+F[396,x,k[0]]
F[26,x,k[0]] = F[27,x]+F[37,x,k[0]]
F[27,x] = F[28,x]+F[30,x]
F[28,x] = 1/F[4,x]*F[29,x]
F[29,x] = F[11,x]
F[30,x] = F[31,x]
F[31,x] = F[32,x]+F[388,x]
F[32,x] = F[33,x]+F[384,x]
F[33,x] = F[34,x]
F[34,x] = F[35,x]*F[4,x]
F[35,x] = F[27,x]+F[36,x]
F[36,x] = F[37,x,1]
F[38,x,k[0]] = F[37,x,k[0]]*F[4,x]
F[38,x,k[0]] = F[39,x,k[0]]
F[39,x,k[0]] = F[309,x,k[0]]+F[40,x,k[0]]
F[40,x,k[0]] = F[41,x,k[0]]
F[41,x,k[0]] = F[42,x,k[0]]*F[77,x,k[0]]
F[43,x,k[0]] = F[383,x,k[0]]+F[42,x,k[0]]
F[44,x,k[0]] = F[43,x,k[0]]*F[77,x,k[0]]
F[44,x,k[0]] = F[45,x,k[0]]
F[46,x,k[0]] = F[11,x]+F[45,x,k[0]]
F[46,x,k[0]] = F[47,x,k[0]]
F[47,x,k[0]] = F[4,x]*F[48,x,k[0]]
F[48,x,k[0]] = F[368,x,k[0]]+F[49,x,k[0]]
F[49,x,k[0]] = F[50,x,k[0]]+F[9,x]
F[50,x,k[0]] = F[39,x,k[0]]+F[51,x,k[0]]
F[51,x,k[0]] = F[52,x,k[0]]
F[52,x,k[0]] = F[53,x,k[0]]*F[77,x,k[0]]
F[53,x,k[0]] = F[54,x,1,k[0]]
F[54,x,k[0],k[1]] = F[55,x,k[0],1,k[1]]
F[55,x,k[0],k[1],k[2]] = F[56,x,k[0],k[1]*k[2],k[2]]
F[56,x,k[0],k[1],k[2]] = F[57,x,k[0]*k[2],k[1]]
F[57,x,k[0],k[1]] = F[366,x,k[0],k[1]]+F[58,x,k[0],k[1]]
F[58,x,k[0],k[1]] = F[363,x,k[0],k[1]]+F[59,x,k[0],k[1]]
F[59,x,k[0],k[1]] = F[60,x,k[1],k[0]]
F[61,x,k[0],k[1]] = F[4,x]*F[60,x,k[0],k[1]]
F[61,x,k[0],k[1]] = F[62,x,k[0],k[1]]
F[62,x,k[0],k[1]] = F[358,x,k[0],k[1]]+F[63,x,k[1]]
F[64,x,k[0]] = F[357,x,k[0]]+F[63,x,k[0]]
F[65,x,k[0]] = F[341,x,k[0]]+F[64,x,k[0]]
F[65,x,k[0]] = F[244,x,k[0]]+F[66,x,k[0]]
F[67,x,k[0]] = F[111,x,k[0]]+F[66,x,k[0]]
F[67,x,k[0]] = F[101,x,k[0]]+F[68,x,k[0]]
F[68,x,k[0]] = F[69,x,1,k[0]]
F[69,x,k[0],k[1]] = F[70,x,k[0],k[1]]+F[80,x,k[0],k[1]]
F[70,x,k[0],k[1]] = F[71,x,k[1]]+F[78,x,k[0],k[1]]
F[71,x,k[0]] = F[1,x]+F[72,x,k[0]]
F[72,x,k[0]] = F[73,x,k[0]]
F[73,x,k[0]] = F[71,x,k[0]]*F[74,x,k[0]]*F[77,x,k[0]]
F[74,x,k[0]] = F[1,x]+F[75,x,k[0]]
F[75,x,k[0]] = F[76,x,k[0]]
F[76,x,k[0]] = F[74,x,k[0]]*F[77,x,k[0]]
F[77,x,k[0]] = k[0]*x
F[78,x,k[0],k[1]] = F[77,x,k[0]]*F[79,x,k[1]]
F[79,x,k[0]] = F[74,x,k[0]]
F[80,x,k[0],k[1]] = F[81,x,k[0],k[1]]
F[81,x,k[0],k[1]] = F[79,x,k[1]]*F[82,x,k[0]]
F[82,x,k[0]] = F[83,x,k[0]]+F[89,x,k[0]]
F[83,x,k[0]] = F[84,x,k[0]]
F[84,x,k[0]] = F[77,x,k[0]]*F[85,x,k[0]]
F[85,x,k[0]] = F[74,x,k[0]]+F[86,x,k[0]]
F[86,x,k[0]] = F[83,x,k[0]]+F[87,x,k[0]]
F[87,x,k[0]] = F[88,x,k[0]]
F[88,x,k[0]] = F[77,x,k[0]]*F[86,x,k[0]]
F[89,x,k[0]] = k[0]*F[90,x,k[0]]
F[90,x,k[0]] = F[91,x]+F[92,x,k[0]]+F[93,x,k[0]]
F[91,x] = 0
F[92,x,k[0]] = F[4,x]*F[75,x,k[0]]
F[93,x,k[0]] = F[77,x,k[0]]*F[94,x,k[0]]
F[94,x,k[0]] = F[95,x,k[0]]+F[98,x,k[0]]
F[95,x,k[0]] = F[4,x]+F[96,x,k[0]]
F[96,x,k[0]] = F[97,x,k[0]]
F[97,x,k[0]] = F[77,x,k[0]]*F[95,x,k[0]]
F[98,x,k[0]] = F[90,x,k[0]]+F[99,x,k[0]]
F[99,x,k[0]] = F[100,x,k[0]]
F[100,x,k[0]] = F[77,x,k[0]]*F[98,x,k[0]]
F[101,x,k[0]] = F[102,x,k[0]]
F[102,x,k[0]] = F[103,x,k[0]]*F[4,x]
F[104,x,k[0]] = F[103,x,k[0]]*F[4,x]
F[104,x,k[0]] = F[105,x,k[0]]
F[105,x,k[0]] = F[106,x,k[0]]*F[4,x]
F[106,x,k[0]] = F[107,x,k[0]]+F[336,x,k[0]]
F[108,x,k[0]] = F[107,x,k[0]]*F[4,x]
F[108,x,k[0]] = F[109,x,k[0]]
F[110,x,k[0]] = F[109,x,k[0]]+F[332,x,k[0]]
F[110,x,k[0]] = F[111,x,k[0]]+F[329,x,k[0]]
F[111,x,k[0]] = F[112,x,k[0]]+F[294,x,k[0]]
F[112,x,k[0]] = F[0,x]+F[113,x,k[0]]
F[113,x,k[0]] = F[114,x,k[0]]
F[114,x,k[0]] = F[115,x,k[0]]*F[77,x,k[0]]
F[115,x,k[0]] = F[116,x,k[0]]+F[283,x,k[0]]
F[116,x,k[0]] = F[117,x,k[0]]
F[117,x,k[0]] = F[118,x,k[0]]+F[282,x,k[0]]
F[118,x,k[0]] = F[119,x,k[0]]
F[120,x,k[0]] = F[119,x,k[0]]*F[265,x]
F[121,x,k[0]] = F[120,x,k[0]]+F[124,x,k[0]]
F[122,x,k[0]] = F[121,x,k[0]]*F[4,x]
F[122,x,k[0]] = F[123,x,k[0]]
F[123,x,k[0]] = F[11,x]+F[40,x,k[0]]
F[125,x,k[0]] = F[124,x,k[0]]+F[276,x,k[0]]
F[126,x,k[0]] = F[125,x,k[0]]+F[131,x,k[0]]
F[126,x,k[0]] = F[127,x]+F[129,x,k[0]]
F[127,x] = 1/F[4,x]*F[128,x]
F[128,x] = F[10,x]
F[130,x,k[0]] = F[129,x,k[0]]*F[4,x]
F[130,x,k[0]] = F[39,x,k[0]]
F[131,x,k[0]] = F[132,x,k[0]]+F[261,x,k[0]]
F[132,x,k[0]] = F[133,x,k[0]]
F[133,x,k[0]] = F[134,x,k[0]]+F[248,x,k[0]]
F[134,x,k[0]] = F[135,x,k[0]]
F[136,x,k[0]] = F[135,x,k[0]]+F[247,x,k[0]]
F[137,x,k[0]] = F[136,x,k[0]]+F[243,x,k[0]]
F[137,x,k[0]] = F[138,x,k[0]]+F[223,x,k[0]]
F[139,x,k[0]] = F[138,x,k[0]]+F[197,x,k[0]]
F[140,x,k[0]] = F[139,x,k[0]]+F[163,x,k[0]]
F[140,x,k[0]] = F[141,x]+F[161,x,k[0]]
F[141,x] = F[142,x]+F[144,x]
F[142,x] = 1/F[4,x]*F[143,x]
F[143,x] = F[11,x]
F[144,x] = F[145,x,1]
F[145,x,k[0]] = F[146,x,k[0]]+F[32,x]
F[146,x,k[0]] = F[147,x,k[0],1]
F[147,x,k[0],k[1]] = F[148,x,k[0],k[1],1]
F[148,x,k[0],k[1],k[2]] = (F[149,x,k[0],k[1],k[2]]-F[149,x,k[0],k[1],1])/(-1+k[2])
F[149,x,k[0],k[1],k[2]] = k[0]*F[150,x,k[2],k[2]]
F[150,x,k[0],k[1]] = F[151,x,k[1]]+F[153,x,k[0],k[1]]
F[151,x,k[0]] = F[152,x,k[0]]
F[152,x,k[0]] = F[4,x]*F[51,x,k[0]]
F[153,x,k[0],k[1]] = F[154,x,k[0],k[1]]
F[154,x,k[0],k[1]] = F[155,x,k[0],k[1]]*F[77,x,k[0]]
F[155,x,k[0],k[1]] = F[156,x,k[0],k[1]]+F[158,x,k[0],k[1]]
F[156,x,k[0],k[1]] = F[157,x,k[0],k[1]]
F[157,x,k[0],k[1]] = -k[1]*(F[150,x,k[0],1]-F[150,x,k[0],k[1]])/(-1+k[1])
F[158,x,k[0],k[1]] = F[159,x,k[0],k[1]]
F[159,x,k[0],k[1]] = F[160,x,k[0],k[1]]*F[4,x]
F[160,x,k[0],k[1]] = -k[1]*(F[18,x,k[0],1]-F[18,x,k[0],k[1]])/(-1+k[1])
F[162,x,k[0]] = F[161,x,k[0]]*F[4,x]
F[162,x,k[0]] = F[39,x,k[0]]
F[163,x,k[0]] = F[164,x,1,k[0]]
F[165,x,k[0],k[1]] = F[164,x,k[0],k[1]]*F[4,x]
F[165,x,k[0],k[1]] = F[166,x,k[0],k[1]]
F[166,x,k[0],k[1]] = F[167,x,k[0],k[1]]
F[167,x,k[0],k[1]] = F[168,x,k[0],k[1]]*F[77,x,k[0]]
F[168,x,k[0],k[1]] = (F[169,x,k[0],1]*k[0]-F[169,x,k[0],k[1]/k[0]]*k[1])/(-k[1]+k[0])
F[169,x,k[0],k[1]] = F[170,x,k[0],k[0]*k[1]]
F[170,x,k[0],k[1]] = F[171,x,k[1]]+F[196,x,k[0],k[1]]
F[171,x,k[0]] = F[172,x,1,k[0]]
F[173,x,k[0],k[1]] = F[172,x,k[0],k[1]]+F[187,x,k[0],k[1]]
F[174,x,k[0],k[1]] = F[173,x,k[0],k[1]]+F[178,x,k[0],k[1]]
F[175,x,k[0],k[1]] = F[174,x,k[0],k[1]]*F[77,x,k[1]]
F[175,x,k[0],k[1]] = F[176,x,k[0],k[1]]
F[176,x,k[0],k[1]] = F[16,x,k[0],k[1]]+F[177,x,k[0],k[1]]
F[177,x,k[0],k[1]] = k[0]*F[153,x,k[0],k[1]]
F[178,x,k[0],k[1]] = k[0]*F[179,x,k[0],k[1]]
F[180,x,k[0],k[1]] = F[179,x,k[0],k[1]]+F[182,x,k[1]]
F[181,x,k[0],k[1]] = F[180,x,k[0],k[1]]*F[77,x,k[1]]
F[181,x,k[0],k[1]] = F[150,x,k[0],k[1]]
F[182,x,k[0]] = F[183,x,1,k[0]]
F[183,x,k[0],k[1]] = F[184,x,k[0],1,k[1]]
F[184,x,k[0],k[1],k[2]] = F[185,x,k[0],k[1]*k[2],k[2]]
F[185,x,k[0],k[1],k[2]] = F[186,x,k[0]*k[2],k[1]]
F[186,x,k[0],k[1]] = F[4,x]*F[57,x,k[0],k[1]]
F[187,x,k[0],k[1]] = -k[0]*(F[188,x,1,k[1]]-F[188,x,k[0],k[1]])/(-1+k[0])
F[188,x,k[0],k[1]] = F[189,x,k[0],k[1],1]
F[189,x,k[0],k[1],k[2]] = F[190,x,k[0],k[1],k[1]*k[2]]
F[190,x,k[0],k[1],k[2]] = F[191,x,k[0],k[1],k[2]]
F[191,x,k[0],k[1],k[2]] = F[192,x,k[0],k[1],k[2]]*F[77,x,k[1]]
F[192,x,k[0],k[1],k[2]] = (F[193,x,k[0],k[1],1]*k[1]-F[193,x,k[0],k[1],k[2]/k[1]]*k[2])/(-k[2]+k[1])
F[193,x,k[0],k[1],k[2]] = F[194,x,k[0],k[1],k[1]*k[2]]
F[194,x,k[0],k[1],k[2]] = F[172,x,k[0],k[2]]+F[195,x,k[0],k[1],k[2]]
F[195,x,k[0],k[1],k[2]] = -k[0]*(F[190,x,1,k[1],k[2]]-F[190,x,k[0],k[1],k[2]])/(-1+k[0])
F[196,x,k[0],k[1]] = F[195,x,1,k[0],k[1]]
F[197,x,k[0]] = F[198,x,k[0]]
F[198,x,k[0]] = F[199,x,k[0]]*F[4,x]
F[200,x,k[0]] = F[199,x,k[0]]*F[4,x]
F[200,x,k[0]] = F[201,x,k[0]]
F[201,x,k[0]] = F[202,x,k[0]]+F[203,x,k[0]]
F[202,x,k[0]] = F[171,x,k[0]]
F[203,x,k[0]] = F[204,x,k[0]]
F[204,x,k[0]] = k[0]*F[205,x,k[0]]
F[205,x,k[0]] = F[206,x,k[0]]
F[206,x,k[0]] = F[207,x,k[0]]
F[207,x,k[0]] = F[208,x,k[0]]*F[4,x]
F[208,x,k[0]] = F[209,x,k[0]]
F[209,x,k[0]] = F[210,x,1,k[0]]
F[180,x,k[0],k[1]] = F[210,x,k[0],k[1]]+F[211,x,k[0],k[1]]
F[211,x,k[0],k[1]] = (F[212,x,k[0],k[1]]*k[0]-F[212,x,1,k[1]])/(-1+k[0])
F[212,x,k[0],k[1]] = F[213,x,k[0],k[1],1]
F[213,x,k[0],k[1],k[2]] = F[214,x,k[0],k[1],k[1]*k[2]]
F[214,x,k[0],k[1],k[2]] = F[215,x,k[2],k[0],k[1]]
F[215,x,k[0],k[1],k[2]] = F[216,x,k[0],k[1],k[2]]*F[77,x,k[2]]
F[216,x,k[0],k[1],k[2]] = F[217,x,k[1],k[2],k[0]]
F[217,x,k[0],k[1],k[2]] = (F[218,x,k[0],k[1],1]*k[1]-F[218,x,k[0],k[1],k[2]/k[1]]*k[2])/(-k[2]+k[1])
F[218,x,k[0],k[1],k[2]] = F[219,x,k[2],k[0],k[1]]
F[219,x,k[0],k[1],k[2]] = F[220,x,k[0],k[1],k[2]]+F[221,x,k[0],k[1],k[2]]
F[220,x,k[0],k[1],k[2]] = F[210,x,k[1],k[0]*k[2]]
F[221,x,k[0],k[1],k[2]] = (F[222,x,k[0],k[1],k[2]]*k[1]-F[222,x,k[0],1,k[2]])/(-1+k[1])
F[222,x,k[0],k[1],k[2]] = F[213,x,k[1],k[2],k[0]]
F[223,x,k[0]] = F[224,x,k[0]]
F[224,x,k[0]] = F[225,x,k[0]]*F[4,x]
F[225,x,k[0]] = 1/(-1+k[0])*(F[226,x,k[0]]*k[0]-F[226,x,1])
F[226,x,k[0]] = F[227,x,k[0]]
F[227,x,k[0]] = F[228,x,k[0]]+F[237,x,k[0]]
F[228,x,k[0]] = F[229,x,k[0]]+F[230,x,k[0]]
F[229,x,k[0]] = F[136,x,k[0]]
F[230,x,k[0]] = F[231,x,k[0]]
F[231,x,k[0]] = F[232,x,1,k[0]]
F[232,x,k[0],k[1]] = F[172,x,k[0],k[1]]+F[233,x,k[0],k[1]]
F[233,x,k[0],k[1]] = -k[0]*(F[234,x,1,k[1]]-F[234,x,k[0],k[1]])/(-1+k[0])
F[234,x,k[0],k[1]] = F[235,x,k[0],k[1]]
F[235,x,k[0],k[1]] = F[236,x,k[0],k[1]]*F[4,x]
F[236,x,k[0],k[1]] = 1/(-1+k[1])*(F[232,x,k[0],k[1]]*k[1]-F[232,x,k[0],1])
F[237,x,k[0]] = F[238,x,k[0]]
F[238,x,k[0]] = F[239,x,1,k[0]]
F[239,x,k[0],k[1]] = k[0]*F[240,x,k[0],k[1]]
F[240,x,k[0],k[1]] = F[210,x,k[0],k[1]]+F[241,x,k[0],k[1]]
F[241,x,k[0],k[1]] = (F[242,x,k[0],k[1]]*k[0]-F[242,x,1,k[1]])/(-1+k[0])
F[242,x,k[0],k[1]] = F[214,x,k[0],1,k[1]]
F[243,x,k[0]] = F[244,x,k[0]]+F[42,x,k[0]]
F[244,x,k[0]] = F[245,x,1,k[0]]
F[245,x,k[0],k[1]] = F[246,x,1,k[0],k[1]]
F[246,x,k[0],k[1],k[2]] = k[0]*F[214,x,k[0],k[1],k[2]]
F[247,x,k[0]] = F[10,x]+F[39,x,k[0]]
F[248,x,k[0]] = F[249,x,k[0]]+F[251,x,k[0]]
F[249,x,k[0]] = F[118,x,k[0]]*F[250,x]
F[250,x] = (x*F[250,x]+x-1)*(x*F[250,x]+x-2*F[250,x])
F[251,x,k[0]] = F[252,x]*F[258,x,k[0]]
F[252,x] = F[253,x]
F[253,x] = F[254,x]*F[4,x]
F[254,x] = F[255,x]
F[255,x] = F[1,x]+F[256,x]
F[256,x] = F[257,x]
F[257,x] = F[255,x]*F[4,x]
F[258,x,k[0]] = F[259,x,k[0]]
F[259,x,k[0]] = F[260,x,k[0]]*F[4,x]
F[260,x,k[0]] = 1/(-1+k[0])*(F[229,x,k[0]]*k[0]-F[229,x,1])
F[261,x,k[0]] = F[262,x,k[0]]
F[262,x,k[0]] = F[263,x,k[0]]+F[268,x,k[0]]
F[263,x,k[0]] = F[118,x,k[0]]*F[264,x]
F[264,x] = -F[267,x]+F[265,x]
F[265,x] = 1/F[4,x]*F[266,x]
F[266,x] = F[2,x]
F[267,x] = -1+(x^2-2*x)*F[267,x]^2+(2+x)*F[267,x]
F[268,x,k[0]] = F[269,x,k[0]]
F[269,x,k[0]] = F[254,x]*F[258,x,k[0]]*F[270,x]
F[270,x] = F[271,x]
F[271,x] = F[272,x]*F[4,x]
F[272,x] = F[254,x]+F[273,x]
F[273,x] = F[270,x]+F[274,x]
F[274,x] = F[275,x]
F[275,x] = F[273,x]*F[4,x]
F[277,x,k[0]] = F[276,x,k[0]]+F[278,x,k[0]]
F[126,x,k[0]] = F[121,x,k[0]]+F[277,x,k[0]]
F[278,x,k[0]] = F[279,x,k[0]]
F[279,x,k[0]] = F[254,x]*F[280,x]*F[281,x,k[0]]
F[280,x] = F[1,x]+F[270,x]
F[281,x,k[0]] = F[258,x,k[0]]
F[282,x,k[0]] = F[123,x,k[0]]
F[283,x,k[0]] = F[284,x,1,k[0]]
F[284,x,k[0],k[1]] = F[285,x,k[0],k[1],1]
F[285,x,k[0],k[1],k[2]] = F[286,x,k[2],k[0],k[1]]
F[286,x,k[0],k[1],k[2]] = F[287,x,k[0],k[1],k[2]]*F[77,x,k[2]]
F[287,x,k[0],k[1],k[2]] = 1/(-1+k[0])*(F[288,x,k[0],k[1],k[2]]*k[0]-F[288,x,1,k[1],k[2]])
F[288,x,k[0],k[1],k[2]] = F[289,x,k[0],k[2]]+F[293,x,k[0],k[1],k[2]]
F[289,x,k[0],k[1]] = F[290,x,k[0],k[1]]+F[291,x,k[0],k[1]]
F[290,x,k[0],k[1]] = F[116,x,k[0]*k[1]]
F[291,x,k[0],k[1]] = F[292,x,k[1],k[0]]
F[292,x,k[0],k[1]] = F[285,x,1,k[0],k[1]]
F[293,x,k[0],k[1],k[2]] = F[193,x,k[1],k[2],k[0]]
F[294,x,k[0]] = F[295,x,k[0]]
F[295,x,k[0]] = F[296,x,k[0]]
F[296,x,k[0]] = F[297,x,k[0]]*F[4,x]
F[298,x,k[0]] = F[297,x,k[0]]+F[328,x,k[0]]
F[298,x,k[0]] = F[299,x,k[0]]+F[326,x,k[0]]
F[227,x,k[0]] = F[299,x,k[0]]+F[300,x,k[0]]
F[300,x,k[0]] = F[301,x,k[0]]+F[324,x,k[0]]
F[301,x,k[0]] = F[302,x,k[0]]+F[303,x,k[0]]
F[302,x,k[0]] = F[247,x,k[0]]
F[303,x,k[0]] = F[304,x,k[0]]
F[231,x,k[0]] = F[304,x,k[0]]+F[305,x,k[0]]
F[305,x,k[0]] = F[306,x,k[0]]
F[306,x,k[0]] = F[295,x,k[0]]+F[307,x,k[0]]
F[307,x,k[0]] = F[308,x,k[0]]
F[308,x,k[0]] = F[14,x]+F[309,x,k[0]]
F[309,x,k[0]] = F[310,x,k[0]]
F[310,x,k[0]] = F[311,x,k[0]]*F[4,x]
F[311,x,k[0]] = -k[0]*(F[312,x,1]-F[312,x,k[0]])/(-1+k[0])
F[312,x,k[0]] = F[313,x,1,k[0]]
F[232,x,k[0],k[1]] = F[313,x,k[0],k[1]]+F[314,x,k[0]]
F[314,x,k[0]] = F[315,x,k[0]]+F[323,x,k[0]]
F[315,x,k[0]] = F[316,x,k[0]]
F[316,x,k[0]] = F[317,x,k[0]]*F[77,x,k[0]]
F[318,x,k[0]] = F[317,x,k[0]]*F[4,x]
F[318,x,k[0]] = F[319,x,k[0]]
F[319,x,k[0]] = F[320,x,k[0]]+F[321,x,k[0]]
F[320,x,k[0]] = F[15,x,k[0]]+F[6,x]
F[321,x,k[0]] = F[322,x,k[0],1]
F[322,x,k[0],k[1]] = k[0]*F[150,x,k[0],k[1]]
F[323,x,k[0]] = -k[0]*(F[15,x,1]-F[15,x,k[0]])/(-1+k[0])
F[324,x,k[0]] = F[325,x,k[0]]
F[238,x,k[0]] = F[325,x,k[0]]+F[65,x,k[0]]
F[326,x,k[0]] = F[327,x,k[0]]
F[140,x,k[0]] = F[137,x,k[0]]+F[327,x,k[0]]
F[328,x,k[0]] = F[163,x,k[0]]
F[329,x,k[0]] = F[252,x]*F[330,x,k[0]]
F[330,x,k[0]] = F[331,x,k[0]]
F[331,x,k[0]] = F[118,x,k[0]]+F[295,x,k[0]]
F[332,x,k[0]] = F[333,x,k[0]]+F[334,x,k[0]]
F[333,x,k[0]] = F[254,x]*F[280,x]*F[79,x,k[0]]
F[334,x,k[0]] = F[335,x,k[0]]
F[335,x,k[0]] = F[71,x,k[0]]*F[75,x,k[0]]*F[77,x,k[0]]*F[79,x,k[0]]
F[337,x,k[0]] = F[336,x,k[0]]*F[4,x]
F[337,x,k[0]] = F[338,x,k[0]]
F[338,x,k[0]] = F[205,x,k[0]]+F[339,x,k[0]]
F[339,x,k[0]] = F[340,x,k[0]]
F[340,x,k[0]] = F[206,x,k[0]]*F[254,x]*F[4,x]
F[342,x,k[0]] = F[305,x,k[0]]+F[341,x,k[0]]
F[342,x,k[0]] = F[343,x,k[0]]
F[343,x,k[0]] = F[344,x,k[0]]*F[4,x]
F[344,x,k[0]] = F[345,x,k[0]]+F[351,x,k[0]]
F[345,x,k[0]] = F[346,x,k[0]]+F[347,x,k[0]]
F[346,x,k[0]] = F[298,x,k[0]]
F[347,x,k[0]] = F[348,x,k[0]]
F[348,x,k[0]] = F[349,x,1,k[0]]
F[349,x,k[0],k[1]] = (F[350,x,k[0],k[1]]*k[0]-F[350,x,1,k[1]])/(-1+k[0])
F[350,x,k[0],k[1]] = F[245,x,k[0],k[1]]+F[66,x,k[1]]
F[351,x,k[0]] = F[352,x,k[0]]
F[352,x,k[0]] = F[353,x,k[0]]*F[4,x]
F[353,x,k[0]] = F[354,x,k[0],1]
F[354,x,k[0],k[1]] = (F[355,x,k[0],k[1]]*k[1]-F[355,x,k[0],1])/(-1+k[1])
F[355,x,k[0],k[1]] = F[297,x,k[0]]+F[356,x,k[0],k[1]]
F[356,x,k[0],k[1]] = F[164,x,k[1],k[0]]
F[357,x,k[0]] = F[358,x,1,k[0]]
F[358,x,k[0],k[1]] = F[359,x,k[1],k[0]]
F[359,x,k[0],k[1]] = F[360,x,k[0],k[1]]*F[77,x,k[1]]
F[360,x,k[0],k[1]] = F[361,x,k[1],k[0]]
F[361,x,k[0],k[1]] = (F[362,x,k[0],1]*k[0]-F[362,x,k[0],k[1]/k[0]]*k[1])/(-k[1]+k[0])
F[362,x,k[0],k[1]] = F[183,x,k[1],k[0]]
F[363,x,k[0],k[1]] = F[364,x,k[1],k[0]]
F[364,x,k[0],k[1]] = 1/(-1+k[0])*(F[365,x,k[0],k[1]]*k[0]-F[365,x,1,k[1]])
F[365,x,k[0],k[1]] = F[123,x,k[1]]+F[166,x,k[0],k[1]]
F[366,x,k[0],k[1]] = F[367,x,k[1],k[0]]
F[367,x,k[0],k[1]] = F[368,x,k[1]]+F[382,x,k[0],k[1]]
F[369,x,k[0]] = F[368,x,k[0]]+F[374,x,k[0]]
F[369,x,k[0]] = F[370,x,k[0]]
F[370,x,k[0]] = F[371,x,k[0]]*F[4,x]
F[372,x,k[0]] = F[371,x,k[0]]*F[77,x,k[0]]
F[372,x,k[0]] = F[373,x,k[0]]
F[373,x,k[0]] = -k[0]*(F[50,x,1]-F[50,x,k[0]])/(-1+k[0])
F[374,x,k[0]] = F[375,x,k[0]]
F[375,x,k[0]] = F[376,x,1,k[0]]
F[376,x,k[0],k[1]] = F[377,x,k[0]*k[1],k[1]]
F[378,x,k[0],k[1]] = F[377,x,k[0],k[1]]+F[380,x,k[0],k[1]]
F[379,x,k[0],k[1]] = F[378,x,k[0],k[1]]*F[4,x]
F[379,x,k[0],k[1]] = F[166,x,k[0],k[1]]
F[164,x,k[0],k[1]] = F[380,x,k[0],k[1]]+F[381,x,k[0],k[1]]
F[381,x,k[0],k[1]] = -k[0]*(F[245,x,1,k[1]]-F[245,x,k[0],k[1]])/(-1+k[0])
F[382,x,k[0],k[1]] = F[377,x,k[0],k[1]]
F[383,x,k[0]] = F[212,x,1,k[0]]
F[384,x] = F[385,x]
F[385,x] = F[386,x,1]
F[386,x,k[0]] = -k[0]*(F[387,x,1]-F[387,x,k[0]])/(-1+k[0])
F[387,x,k[0]] = F[16,x,1,k[0]]
F[388,x] = F[389,x,1]
F[389,x,k[0]] = F[390,x,k[0]]
F[390,x,k[0]] = F[391,x,k[0]]*F[4,x]
F[391,x,k[0]] = -k[0]*(F[392,x,1]-F[392,x,k[0]])/(-1+k[0])
F[392,x,k[0]] = F[393,x,k[0]]+F[395,x,k[0]]
F[393,x,k[0]] = F[394,x,k[0]]+F[51,x,k[0]]
F[394,x,k[0]] = -k[0]*(F[387,x,1]-F[387,x,k[0]])/(-1+k[0])
F[395,x,k[0]] = F[389,x,k[0]]
F[396,x,k[0]] = F[397,x,k[0]]
F[397,x,k[0]] = F[378,x,1,k[0]]
F[398,x,k[0],k[1]] = F[378,x,k[0],k[1]]
F[399,x,k[0],k[1]] = -k[1]*(F[400,x,k[0],1]-F[400,x,k[0],k[1]])/(-1+k[1])
F[400,x,k[0],k[1]] = k[0]*F[151,x,k[1]]
F[401,x,k[0],k[1]] = -k[1]*(F[176,x,k[0],1]-F[176,x,k[0],k[1]])/(-1+k[1])
F[402,x] = F[50,x,1]
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_{5}\! \left(x \right)
F_{4}\! \left(x \right) = x
F_{5}\! \left(x \right) = F_{0}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{4}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{402}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{5}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{14}\! \left(x \right)
F_{11}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{12}\! \left(x \right)
F_{12}\! \left(x \right) = \frac{F_{13}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{13}\! \left(x \right) = F_{2}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x , 1\right)
F_{15}\! \left(x , y_{0}\right) = F_{16}\! \left(x , y_{0}, 1\right)
F_{16}\! \left(x , y_{0}, y_{1}\right) = F_{17}\! \left(x , y_{0}, y_{1}\right)
F_{17}\! \left(x , y_{0}, y_{1}\right) = F_{18}\! \left(x , y_{0}, y_{1}\right) F_{77}\! \left(x , y_{0}\right)
F_{18}\! \left(x , y_{0}, y_{1}\right) = F_{19}\! \left(x , y_{0}, y_{1}\right)+F_{401}\! \left(x , y_{0}, y_{1}\right)
F_{19}\! \left(x , y_{0}, y_{1}\right) = F_{20}\! \left(x , y_{1}\right)+F_{399}\! \left(x , y_{0}, y_{1}\right)
F_{20}\! \left(x , y_{0}\right) = F_{21}\! \left(x , y_{0}\right)
F_{21}\! \left(x , y_{0}\right) = F_{22}\! \left(x , y_{0}\right) F_{77}\! \left(x , y_{0}\right)
F_{22}\! \left(x , y_{0}\right) = F_{23}\! \left(x , 1, y_{0}\right)
F_{23}\! \left(x , y_{0}, y_{1}\right) = F_{24}\! \left(x , y_{0} y_{1}, y_{1}\right)
F_{24}\! \left(x , y_{0}, y_{1}\right) = F_{25}\! \left(x , y_{1}\right)+F_{398}\! \left(x , y_{0}, y_{1}\right)
F_{26}\! \left(x , y_{0}\right) = F_{25}\! \left(x , y_{0}\right)+F_{396}\! \left(x , y_{0}\right)
F_{26}\! \left(x , y_{0}\right) = F_{27}\! \left(x \right)+F_{37}\! \left(x , y_{0}\right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)+F_{30}\! \left(x \right)
F_{28}\! \left(x \right) = \frac{F_{29}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{29}\! \left(x \right) = F_{11}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)+F_{388}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)+F_{384}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right) F_{4}\! \left(x \right)
F_{35}\! \left(x \right) = F_{27}\! \left(x \right)+F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x , 1\right)
F_{38}\! \left(x , y_{0}\right) = F_{37}\! \left(x , y_{0}\right) F_{4}\! \left(x \right)
F_{38}\! \left(x , y_{0}\right) = F_{39}\! \left(x , y_{0}\right)
F_{39}\! \left(x , y_{0}\right) = F_{309}\! \left(x , y_{0}\right)+F_{40}\! \left(x , y_{0}\right)
F_{40}\! \left(x , y_{0}\right) = F_{41}\! \left(x , y_{0}\right)
F_{41}\! \left(x , y_{0}\right) = F_{42}\! \left(x , y_{0}\right) F_{77}\! \left(x , y_{0}\right)
F_{43}\! \left(x , y_{0}\right) = F_{383}\! \left(x , y_{0}\right)+F_{42}\! \left(x , y_{0}\right)
F_{44}\! \left(x , y_{0}\right) = F_{43}\! \left(x , y_{0}\right) F_{77}\! \left(x , y_{0}\right)
F_{44}\! \left(x , y_{0}\right) = F_{45}\! \left(x , y_{0}\right)
F_{46}\! \left(x , y_{0}\right) = F_{11}\! \left(x \right)+F_{45}\! \left(x , y_{0}\right)
F_{46}\! \left(x , y_{0}\right) = F_{47}\! \left(x , y_{0}\right)
F_{47}\! \left(x , y_{0}\right) = F_{4}\! \left(x \right) F_{48}\! \left(x , y_{0}\right)
F_{48}\! \left(x , y_{0}\right) = F_{368}\! \left(x , y_{0}\right)+F_{49}\! \left(x , y_{0}\right)
F_{49}\! \left(x , y_{0}\right) = F_{50}\! \left(x , y_{0}\right)+F_{9}\! \left(x \right)
F_{50}\! \left(x , y_{0}\right) = F_{39}\! \left(x , y_{0}\right)+F_{51}\! \left(x , y_{0}\right)
F_{51}\! \left(x , y_{0}\right) = F_{52}\! \left(x , y_{0}\right)
F_{52}\! \left(x , y_{0}\right) = F_{53}\! \left(x , y_{0}\right) F_{77}\! \left(x , y_{0}\right)
F_{53}\! \left(x , y_{0}\right) = F_{54}\! \left(x , 1, y_{0}\right)
F_{54}\! \left(x , y_{0}, y_{1}\right) = F_{55}\! \left(x , y_{0}, 1, y_{1}\right)
F_{55}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{56}\! \left(x , y_{0}, y_{1} y_{2}, y_{2}\right)
F_{56}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{57}\! \left(x , y_{0} y_{2}, y_{1}\right)
F_{57}\! \left(x , y_{0}, y_{1}\right) = F_{366}\! \left(x , y_{0}, y_{1}\right)+F_{58}\! \left(x , y_{0}, y_{1}\right)
F_{58}\! \left(x , y_{0}, y_{1}\right) = F_{363}\! \left(x , y_{0}, y_{1}\right)+F_{59}\! \left(x , y_{0}, y_{1}\right)
F_{59}\! \left(x , y_{0}, y_{1}\right) = F_{60}\! \left(x , y_{1}, y_{0}\right)
F_{61}\! \left(x , y_{0}, y_{1}\right) = F_{4}\! \left(x \right) F_{60}\! \left(x , y_{0}, y_{1}\right)
F_{61}\! \left(x , y_{0}, y_{1}\right) = F_{62}\! \left(x , y_{0}, y_{1}\right)
F_{62}\! \left(x , y_{0}, y_{1}\right) = F_{358}\! \left(x , y_{0}, y_{1}\right)+F_{63}\! \left(x , y_{1}\right)
F_{64}\! \left(x , y_{0}\right) = F_{357}\! \left(x , y_{0}\right)+F_{63}\! \left(x , y_{0}\right)
F_{65}\! \left(x , y_{0}\right) = F_{341}\! \left(x , y_{0}\right)+F_{64}\! \left(x , y_{0}\right)
F_{65}\! \left(x , y_{0}\right) = F_{244}\! \left(x , y_{0}\right)+F_{66}\! \left(x , y_{0}\right)
F_{67}\! \left(x , y_{0}\right) = F_{111}\! \left(x , y_{0}\right)+F_{66}\! \left(x , y_{0}\right)
F_{67}\! \left(x , y_{0}\right) = F_{101}\! \left(x , y_{0}\right)+F_{68}\! \left(x , y_{0}\right)
F_{68}\! \left(x , y_{0}\right) = F_{69}\! \left(x , 1, y_{0}\right)
F_{69}\! \left(x , y_{0}, y_{1}\right) = F_{70}\! \left(x , y_{0}, y_{1}\right)+F_{80}\! \left(x , y_{0}, y_{1}\right)
F_{70}\! \left(x , y_{0}, y_{1}\right) = F_{71}\! \left(x , y_{1}\right)+F_{78}\! \left(x , y_{0}, y_{1}\right)
F_{71}\! \left(x , y_{0}\right) = F_{1}\! \left(x \right)+F_{72}\! \left(x , y_{0}\right)
F_{72}\! \left(x , y_{0}\right) = F_{73}\! \left(x , y_{0}\right)
F_{73}\! \left(x , y_{0}\right) = F_{71}\! \left(x , y_{0}\right) F_{74}\! \left(x , y_{0}\right) F_{77}\! \left(x , y_{0}\right)
F_{74}\! \left(x , y_{0}\right) = F_{1}\! \left(x \right)+F_{75}\! \left(x , y_{0}\right)
F_{75}\! \left(x , y_{0}\right) = F_{76}\! \left(x , y_{0}\right)
F_{76}\! \left(x , y_{0}\right) = F_{74}\! \left(x , y_{0}\right) F_{77}\! \left(x , y_{0}\right)
F_{77}\! \left(x , y_{0}\right) = y_{0} x
F_{78}\! \left(x , y_{0}, y_{1}\right) = F_{77}\! \left(x , y_{0}\right) F_{79}\! \left(x , y_{1}\right)
F_{79}\! \left(x , y_{0}\right) = F_{74}\! \left(x , y_{0}\right)
F_{80}\! \left(x , y_{0}, y_{1}\right) = F_{81}\! \left(x , y_{0}, y_{1}\right)
F_{81}\! \left(x , y_{0}, y_{1}\right) = F_{79}\! \left(x , y_{1}\right) F_{82}\! \left(x , y_{0}\right)
F_{82}\! \left(x , y_{0}\right) = F_{83}\! \left(x , y_{0}\right)+F_{89}\! \left(x , y_{0}\right)
F_{83}\! \left(x , y_{0}\right) = F_{84}\! \left(x , y_{0}\right)
F_{84}\! \left(x , y_{0}\right) = F_{77}\! \left(x , y_{0}\right) F_{85}\! \left(x , y_{0}\right)
F_{85}\! \left(x , y_{0}\right) = F_{74}\! \left(x , y_{0}\right)+F_{86}\! \left(x , y_{0}\right)
F_{86}\! \left(x , y_{0}\right) = F_{83}\! \left(x , y_{0}\right)+F_{87}\! \left(x , y_{0}\right)
F_{87}\! \left(x , y_{0}\right) = F_{88}\! \left(x , y_{0}\right)
F_{88}\! \left(x , y_{0}\right) = F_{77}\! \left(x , y_{0}\right) F_{86}\! \left(x , y_{0}\right)
F_{89}\! \left(x , y_{0}\right) = y_{0} F_{90}\! \left(x , y_{0}\right)
F_{90}\! \left(x , y_{0}\right) = F_{91}\! \left(x \right)+F_{92}\! \left(x , y_{0}\right)+F_{93}\! \left(x , y_{0}\right)
F_{91}\! \left(x \right) = 0
F_{92}\! \left(x , y_{0}\right) = F_{4}\! \left(x \right) F_{75}\! \left(x , y_{0}\right)
F_{93}\! \left(x , y_{0}\right) = F_{77}\! \left(x , y_{0}\right) F_{94}\! \left(x , y_{0}\right)
F_{94}\! \left(x , y_{0}\right) = F_{95}\! \left(x , y_{0}\right)+F_{98}\! \left(x , y_{0}\right)
F_{95}\! \left(x , y_{0}\right) = F_{4}\! \left(x \right)+F_{96}\! \left(x , y_{0}\right)
F_{96}\! \left(x , y_{0}\right) = F_{97}\! \left(x , y_{0}\right)
F_{97}\! \left(x , y_{0}\right) = F_{77}\! \left(x , y_{0}\right) F_{95}\! \left(x , y_{0}\right)
F_{98}\! \left(x , y_{0}\right) = F_{90}\! \left(x , y_{0}\right)+F_{99}\! \left(x , y_{0}\right)
F_{99}\! \left(x , y_{0}\right) = F_{100}\! \left(x , y_{0}\right)
F_{100}\! \left(x , y_{0}\right) = F_{77}\! \left(x , y_{0}\right) F_{98}\! \left(x , y_{0}\right)
F_{101}\! \left(x , y_{0}\right) = F_{102}\! \left(x , y_{0}\right)
F_{102}\! \left(x , y_{0}\right) = F_{103}\! \left(x , y_{0}\right) F_{4}\! \left(x \right)
F_{104}\! \left(x , y_{0}\right) = F_{103}\! \left(x , y_{0}\right) F_{4}\! \left(x \right)
F_{104}\! \left(x , y_{0}\right) = F_{105}\! \left(x , y_{0}\right)
F_{105}\! \left(x , y_{0}\right) = F_{106}\! \left(x , y_{0}\right) F_{4}\! \left(x \right)
F_{106}\! \left(x , y_{0}\right) = F_{107}\! \left(x , y_{0}\right)+F_{336}\! \left(x , y_{0}\right)
F_{108}\! \left(x , y_{0}\right) = F_{107}\! \left(x , y_{0}\right) F_{4}\! \left(x \right)
F_{108}\! \left(x , y_{0}\right) = F_{109}\! \left(x , y_{0}\right)
F_{110}\! \left(x , y_{0}\right) = F_{109}\! \left(x , y_{0}\right)+F_{332}\! \left(x , y_{0}\right)
F_{110}\! \left(x , y_{0}\right) = F_{111}\! \left(x , y_{0}\right)+F_{329}\! \left(x , y_{0}\right)
F_{111}\! \left(x , y_{0}\right) = F_{112}\! \left(x , y_{0}\right)+F_{294}\! \left(x , y_{0}\right)
F_{112}\! \left(x , y_{0}\right) = F_{0}\! \left(x \right)+F_{113}\! \left(x , y_{0}\right)
F_{113}\! \left(x , y_{0}\right) = F_{114}\! \left(x , y_{0}\right)
F_{114}\! \left(x , y_{0}\right) = F_{115}\! \left(x , y_{0}\right) F_{77}\! \left(x , y_{0}\right)
F_{115}\! \left(x , y_{0}\right) = F_{116}\! \left(x , y_{0}\right)+F_{283}\! \left(x , y_{0}\right)
F_{116}\! \left(x , y_{0}\right) = F_{117}\! \left(x , y_{0}\right)
F_{117}\! \left(x , y_{0}\right) = F_{118}\! \left(x , y_{0}\right)+F_{282}\! \left(x , y_{0}\right)
F_{118}\! \left(x , y_{0}\right) = F_{119}\! \left(x , y_{0}\right)
F_{120}\! \left(x , y_{0}\right) = F_{119}\! \left(x , y_{0}\right) F_{265}\! \left(x \right)
F_{121}\! \left(x , y_{0}\right) = F_{120}\! \left(x , y_{0}\right)+F_{124}\! \left(x , y_{0}\right)
F_{122}\! \left(x , y_{0}\right) = F_{121}\! \left(x , y_{0}\right) F_{4}\! \left(x \right)
F_{122}\! \left(x , y_{0}\right) = F_{123}\! \left(x , y_{0}\right)
F_{123}\! \left(x , y_{0}\right) = F_{11}\! \left(x \right)+F_{40}\! \left(x , y_{0}\right)
F_{125}\! \left(x , y_{0}\right) = F_{124}\! \left(x , y_{0}\right)+F_{276}\! \left(x , y_{0}\right)
F_{126}\! \left(x , y_{0}\right) = F_{125}\! \left(x , y_{0}\right)+F_{131}\! \left(x , y_{0}\right)
F_{126}\! \left(x , y_{0}\right) = F_{127}\! \left(x \right)+F_{129}\! \left(x , y_{0}\right)
F_{127}\! \left(x \right) = \frac{F_{128}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{128}\! \left(x \right) = F_{10}\! \left(x \right)
F_{130}\! \left(x , y_{0}\right) = F_{129}\! \left(x , y_{0}\right) F_{4}\! \left(x \right)
F_{130}\! \left(x , y_{0}\right) = F_{39}\! \left(x , y_{0}\right)
F_{131}\! \left(x , y_{0}\right) = F_{132}\! \left(x , y_{0}\right)+F_{261}\! \left(x , y_{0}\right)
F_{132}\! \left(x , y_{0}\right) = F_{133}\! \left(x , y_{0}\right)
F_{133}\! \left(x , y_{0}\right) = F_{134}\! \left(x , y_{0}\right)+F_{248}\! \left(x , y_{0}\right)
F_{134}\! \left(x , y_{0}\right) = F_{135}\! \left(x , y_{0}\right)
F_{136}\! \left(x , y_{0}\right) = F_{135}\! \left(x , y_{0}\right)+F_{247}\! \left(x , y_{0}\right)
F_{137}\! \left(x , y_{0}\right) = F_{136}\! \left(x , y_{0}\right)+F_{243}\! \left(x , y_{0}\right)
F_{137}\! \left(x , y_{0}\right) = F_{138}\! \left(x , y_{0}\right)+F_{223}\! \left(x , y_{0}\right)
F_{139}\! \left(x , y_{0}\right) = F_{138}\! \left(x , y_{0}\right)+F_{197}\! \left(x , y_{0}\right)
F_{140}\! \left(x , y_{0}\right) = F_{139}\! \left(x , y_{0}\right)+F_{163}\! \left(x , y_{0}\right)
F_{140}\! \left(x , y_{0}\right) = F_{141}\! \left(x \right)+F_{161}\! \left(x , y_{0}\right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)+F_{144}\! \left(x \right)
F_{142}\! \left(x \right) = \frac{F_{143}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{143}\! \left(x \right) = F_{11}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x , 1\right)
F_{145}\! \left(x , y_{0}\right) = F_{146}\! \left(x , y_{0}\right)+F_{32}\! \left(x \right)
F_{146}\! \left(x , y_{0}\right) = F_{147}\! \left(x , y_{0}, 1\right)
F_{147}\! \left(x , y_{0}, y_{1}\right) = F_{148}\! \left(x , y_{0}, y_{1}, 1\right)
F_{148}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-F_{149}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{149}\! \left(x , y_{0}, y_{1}, 1\right)}{-1+y_{2}}
F_{149}\! \left(x , y_{0}, y_{1}, y_{2}\right) = y_{0} F_{150}\! \left(x , y_{2}, y_{2}\right)
F_{150}\! \left(x , y_{0}, y_{1}\right) = F_{151}\! \left(x , y_{1}\right)+F_{153}\! \left(x , y_{0}, y_{1}\right)
F_{151}\! \left(x , y_{0}\right) = F_{152}\! \left(x , y_{0}\right)
F_{152}\! \left(x , y_{0}\right) = F_{4}\! \left(x \right) F_{51}\! \left(x , y_{0}\right)
F_{153}\! \left(x , y_{0}, y_{1}\right) = F_{154}\! \left(x , y_{0}, y_{1}\right)
F_{154}\! \left(x , y_{0}, y_{1}\right) = F_{155}\! \left(x , y_{0}, y_{1}\right) F_{77}\! \left(x , y_{0}\right)
F_{155}\! \left(x , y_{0}, y_{1}\right) = F_{156}\! \left(x , y_{0}, y_{1}\right)+F_{158}\! \left(x , y_{0}, y_{1}\right)
F_{156}\! \left(x , y_{0}, y_{1}\right) = F_{157}\! \left(x , y_{0}, y_{1}\right)
F_{157}\! \left(x , y_{0}, y_{1}\right) = -\frac{y_{1} \left(F_{150}\! \left(x , y_{0}, 1\right)-F_{150}\! \left(x , y_{0}, y_{1}\right)\right)}{-1+y_{1}}
F_{158}\! \left(x , y_{0}, y_{1}\right) = F_{159}\! \left(x , y_{0}, y_{1}\right)
F_{159}\! \left(x , y_{0}, y_{1}\right) = F_{160}\! \left(x , y_{0}, y_{1}\right) F_{4}\! \left(x \right)
F_{160}\! \left(x , y_{0}, y_{1}\right) = -\frac{y_{1} \left(F_{18}\! \left(x , y_{0}, 1\right)-F_{18}\! \left(x , y_{0}, y_{1}\right)\right)}{-1+y_{1}}
F_{162}\! \left(x , y_{0}\right) = F_{161}\! \left(x , y_{0}\right) F_{4}\! \left(x \right)
F_{162}\! \left(x , y_{0}\right) = F_{39}\! \left(x , y_{0}\right)
F_{163}\! \left(x , y_{0}\right) = F_{164}\! \left(x , 1, y_{0}\right)
F_{165}\! \left(x , y_{0}, y_{1}\right) = F_{164}\! \left(x , y_{0}, y_{1}\right) F_{4}\! \left(x \right)
F_{165}\! \left(x , y_{0}, y_{1}\right) = F_{166}\! \left(x , y_{0}, y_{1}\right)
F_{166}\! \left(x , y_{0}, y_{1}\right) = F_{167}\! \left(x , y_{0}, y_{1}\right)
F_{167}\! \left(x , y_{0}, y_{1}\right) = F_{168}\! \left(x , y_{0}, y_{1}\right) F_{77}\! \left(x , y_{0}\right)
F_{168}\! \left(x , y_{0}, y_{1}\right) = \frac{F_{169}\! \left(x , y_{0}, 1\right) y_{0}-F_{169}\! \left(x , y_{0}, \frac{y_{1}}{y_{0}}\right) y_{1}}{-y_{1}+y_{0}}
F_{169}\! \left(x , y_{0}, y_{1}\right) = F_{170}\! \left(x , y_{0}, y_{0} y_{1}\right)
F_{170}\! \left(x , y_{0}, y_{1}\right) = F_{171}\! \left(x , y_{1}\right)+F_{196}\! \left(x , y_{0}, y_{1}\right)
F_{171}\! \left(x , y_{0}\right) = F_{172}\! \left(x , 1, y_{0}\right)
F_{173}\! \left(x , y_{0}, y_{1}\right) = F_{172}\! \left(x , y_{0}, y_{1}\right)+F_{187}\! \left(x , y_{0}, y_{1}\right)
F_{174}\! \left(x , y_{0}, y_{1}\right) = F_{173}\! \left(x , y_{0}, y_{1}\right)+F_{178}\! \left(x , y_{0}, y_{1}\right)
F_{175}\! \left(x , y_{0}, y_{1}\right) = F_{174}\! \left(x , y_{0}, y_{1}\right) F_{77}\! \left(x , y_{1}\right)
F_{175}\! \left(x , y_{0}, y_{1}\right) = F_{176}\! \left(x , y_{0}, y_{1}\right)
F_{176}\! \left(x , y_{0}, y_{1}\right) = F_{16}\! \left(x , y_{0}, y_{1}\right)+F_{177}\! \left(x , y_{0}, y_{1}\right)
F_{177}\! \left(x , y_{0}, y_{1}\right) = y_{0} F_{153}\! \left(x , y_{0}, y_{1}\right)
F_{178}\! \left(x , y_{0}, y_{1}\right) = y_{0} F_{179}\! \left(x , y_{0}, y_{1}\right)
F_{180}\! \left(x , y_{0}, y_{1}\right) = F_{179}\! \left(x , y_{0}, y_{1}\right)+F_{182}\! \left(x , y_{1}\right)
F_{181}\! \left(x , y_{0}, y_{1}\right) = F_{180}\! \left(x , y_{0}, y_{1}\right) F_{77}\! \left(x , y_{1}\right)
F_{181}\! \left(x , y_{0}, y_{1}\right) = F_{150}\! \left(x , y_{0}, y_{1}\right)
F_{182}\! \left(x , y_{0}\right) = F_{183}\! \left(x , 1, y_{0}\right)
F_{183}\! \left(x , y_{0}, y_{1}\right) = F_{184}\! \left(x , y_{0}, 1, y_{1}\right)
F_{184}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{185}\! \left(x , y_{0}, y_{1} y_{2}, y_{2}\right)
F_{185}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{186}\! \left(x , y_{0} y_{2}, y_{1}\right)
F_{186}\! \left(x , y_{0}, y_{1}\right) = F_{4}\! \left(x \right) F_{57}\! \left(x , y_{0}, y_{1}\right)
F_{187}\! \left(x , y_{0}, y_{1}\right) = -\frac{y_{0} \left(F_{188}\! \left(x , 1, y_{1}\right)-F_{188}\! \left(x , y_{0}, y_{1}\right)\right)}{-1+y_{0}}
F_{188}\! \left(x , y_{0}, y_{1}\right) = F_{189}\! \left(x , y_{0}, y_{1}, 1\right)
F_{189}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{190}\! \left(x , y_{0}, y_{1}, y_{1} y_{2}\right)
F_{190}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{191}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{191}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{192}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{77}\! \left(x , y_{1}\right)
F_{192}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{F_{193}\! \left(x , y_{0}, y_{1}, 1\right) y_{1}-F_{193}\! \left(x , y_{0}, y_{1}, \frac{y_{2}}{y_{1}}\right) y_{2}}{-y_{2}+y_{1}}
F_{193}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{194}\! \left(x , y_{0}, y_{1}, y_{1} y_{2}\right)
F_{194}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{172}\! \left(x , y_{0}, y_{2}\right)+F_{195}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{195}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{y_{0} \left(F_{190}\! \left(x , 1, y_{1}, y_{2}\right)-F_{190}\! \left(x , y_{0}, y_{1}, y_{2}\right)\right)}{-1+y_{0}}
F_{196}\! \left(x , y_{0}, y_{1}\right) = F_{195}\! \left(x , 1, y_{0}, y_{1}\right)
F_{197}\! \left(x , y_{0}\right) = F_{198}\! \left(x , y_{0}\right)
F_{198}\! \left(x , y_{0}\right) = F_{199}\! \left(x , y_{0}\right) F_{4}\! \left(x \right)
F_{200}\! \left(x , y_{0}\right) = F_{199}\! \left(x , y_{0}\right) F_{4}\! \left(x \right)
F_{200}\! \left(x , y_{0}\right) = F_{201}\! \left(x , y_{0}\right)
F_{201}\! \left(x , y_{0}\right) = F_{202}\! \left(x , y_{0}\right)+F_{203}\! \left(x , y_{0}\right)
F_{202}\! \left(x , y_{0}\right) = F_{171}\! \left(x , y_{0}\right)
F_{203}\! \left(x , y_{0}\right) = F_{204}\! \left(x , y_{0}\right)
F_{204}\! \left(x , y_{0}\right) = y_{0} F_{205}\! \left(x , y_{0}\right)
F_{205}\! \left(x , y_{0}\right) = F_{206}\! \left(x , y_{0}\right)
F_{206}\! \left(x , y_{0}\right) = F_{207}\! \left(x , y_{0}\right)
F_{207}\! \left(x , y_{0}\right) = F_{208}\! \left(x , y_{0}\right) F_{4}\! \left(x \right)
F_{208}\! \left(x , y_{0}\right) = F_{209}\! \left(x , y_{0}\right)
F_{209}\! \left(x , y_{0}\right) = F_{210}\! \left(x , 1, y_{0}\right)
F_{180}\! \left(x , y_{0}, y_{1}\right) = F_{210}\! \left(x , y_{0}, y_{1}\right)+F_{211}\! \left(x , y_{0}, y_{1}\right)
F_{211}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{212}\! \left(x , y_{0}, y_{1}\right) y_{0}+F_{212}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{212}\! \left(x , y_{0}, y_{1}\right) = F_{213}\! \left(x , y_{0}, y_{1}, 1\right)
F_{213}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{214}\! \left(x , y_{0}, y_{1}, y_{1} y_{2}\right)
F_{214}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{215}\! \left(x , y_{2}, y_{0}, y_{1}\right)
F_{215}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{216}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{77}\! \left(x , y_{2}\right)
F_{216}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{217}\! \left(x , y_{1}, y_{2}, y_{0}\right)
F_{217}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{F_{218}\! \left(x , y_{0}, y_{1}, 1\right) y_{1}-F_{218}\! \left(x , y_{0}, y_{1}, \frac{y_{2}}{y_{1}}\right) y_{2}}{-y_{2}+y_{1}}
F_{218}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{219}\! \left(x , y_{2}, y_{0}, y_{1}\right)
F_{219}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{220}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{221}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{220}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{210}\! \left(x , y_{1}, y_{0} y_{2}\right)
F_{221}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-F_{222}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{1}+F_{222}\! \left(x , y_{0}, 1, y_{2}\right)}{-1+y_{1}}
F_{222}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{213}\! \left(x , y_{1}, y_{2}, y_{0}\right)
F_{223}\! \left(x , y_{0}\right) = F_{224}\! \left(x , y_{0}\right)
F_{224}\! \left(x , y_{0}\right) = F_{225}\! \left(x , y_{0}\right) F_{4}\! \left(x \right)
F_{225}\! \left(x , y_{0}\right) = -\frac{-F_{226}\! \left(x , y_{0}\right) y_{0}+F_{226}\! \left(x , 1\right)}{-1+y_{0}}
F_{226}\! \left(x , y_{0}\right) = F_{227}\! \left(x , y_{0}\right)
F_{227}\! \left(x , y_{0}\right) = F_{228}\! \left(x , y_{0}\right)+F_{237}\! \left(x , y_{0}\right)
F_{228}\! \left(x , y_{0}\right) = F_{229}\! \left(x , y_{0}\right)+F_{230}\! \left(x , y_{0}\right)
F_{229}\! \left(x , y_{0}\right) = F_{136}\! \left(x , y_{0}\right)
F_{230}\! \left(x , y_{0}\right) = F_{231}\! \left(x , y_{0}\right)
F_{231}\! \left(x , y_{0}\right) = F_{232}\! \left(x , 1, y_{0}\right)
F_{232}\! \left(x , y_{0}, y_{1}\right) = F_{172}\! \left(x , y_{0}, y_{1}\right)+F_{233}\! \left(x , y_{0}, y_{1}\right)
F_{233}\! \left(x , y_{0}, y_{1}\right) = -\frac{y_{0} \left(F_{234}\! \left(x , 1, y_{1}\right)-F_{234}\! \left(x , y_{0}, y_{1}\right)\right)}{-1+y_{0}}
F_{234}\! \left(x , y_{0}, y_{1}\right) = F_{235}\! \left(x , y_{0}, y_{1}\right)
F_{235}\! \left(x , y_{0}, y_{1}\right) = F_{236}\! \left(x , y_{0}, y_{1}\right) F_{4}\! \left(x \right)
F_{236}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{232}\! \left(x , y_{0}, y_{1}\right) y_{1}+F_{232}\! \left(x , y_{0}, 1\right)}{-1+y_{1}}
F_{237}\! \left(x , y_{0}\right) = F_{238}\! \left(x , y_{0}\right)
F_{238}\! \left(x , y_{0}\right) = F_{239}\! \left(x , 1, y_{0}\right)
F_{239}\! \left(x , y_{0}, y_{1}\right) = y_{0} F_{240}\! \left(x , y_{0}, y_{1}\right)
F_{240}\! \left(x , y_{0}, y_{1}\right) = F_{210}\! \left(x , y_{0}, y_{1}\right)+F_{241}\! \left(x , y_{0}, y_{1}\right)
F_{241}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{242}\! \left(x , y_{0}, y_{1}\right) y_{0}+F_{242}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{242}\! \left(x , y_{0}, y_{1}\right) = F_{214}\! \left(x , y_{0}, 1, y_{1}\right)
F_{243}\! \left(x , y_{0}\right) = F_{244}\! \left(x , y_{0}\right)+F_{42}\! \left(x , y_{0}\right)
F_{244}\! \left(x , y_{0}\right) = F_{245}\! \left(x , 1, y_{0}\right)
F_{245}\! \left(x , y_{0}, y_{1}\right) = F_{246}\! \left(x , 1, y_{0}, y_{1}\right)
F_{246}\! \left(x , y_{0}, y_{1}, y_{2}\right) = y_{0} F_{214}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{247}\! \left(x , y_{0}\right) = F_{10}\! \left(x \right)+F_{39}\! \left(x , y_{0}\right)
F_{248}\! \left(x , y_{0}\right) = F_{249}\! \left(x , y_{0}\right)+F_{251}\! \left(x , y_{0}\right)
F_{249}\! \left(x , y_{0}\right) = F_{118}\! \left(x , y_{0}\right) F_{250}\! \left(x \right)
F_{250}\! \left(x \right) = x^{2} F_{250} \left(x \right)^{2}+2 x^{2} F_{250}\! \left(x \right)-2 x F_{250} \left(x \right)^{2}+x^{2}-3 x F_{250}\! \left(x \right)-x +2 F_{250}\! \left(x \right)
F_{251}\! \left(x , y_{0}\right) = F_{252}\! \left(x \right) F_{258}\! \left(x , y_{0}\right)
F_{252}\! \left(x \right) = F_{253}\! \left(x \right)
F_{253}\! \left(x \right) = F_{254}\! \left(x \right) F_{4}\! \left(x \right)
F_{254}\! \left(x \right) = F_{255}\! \left(x \right)
F_{255}\! \left(x \right) = F_{1}\! \left(x \right)+F_{256}\! \left(x \right)
F_{256}\! \left(x \right) = F_{257}\! \left(x \right)
F_{257}\! \left(x \right) = F_{255}\! \left(x \right) F_{4}\! \left(x \right)
F_{258}\! \left(x , y_{0}\right) = F_{259}\! \left(x , y_{0}\right)
F_{259}\! \left(x , y_{0}\right) = F_{260}\! \left(x , y_{0}\right) F_{4}\! \left(x \right)
F_{260}\! \left(x , y_{0}\right) = -\frac{-F_{229}\! \left(x , y_{0}\right) y_{0}+F_{229}\! \left(x , 1\right)}{-1+y_{0}}
F_{261}\! \left(x , y_{0}\right) = F_{262}\! \left(x , y_{0}\right)
F_{262}\! \left(x , y_{0}\right) = F_{263}\! \left(x , y_{0}\right)+F_{268}\! \left(x , y_{0}\right)
F_{263}\! \left(x , y_{0}\right) = F_{118}\! \left(x , y_{0}\right) F_{264}\! \left(x \right)
F_{264}\! \left(x \right) = -F_{267}\! \left(x \right)+F_{265}\! \left(x \right)
F_{265}\! \left(x \right) = \frac{F_{266}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{266}\! \left(x \right) = F_{2}\! \left(x \right)
F_{267}\! \left(x \right) = x^{2} F_{267} \left(x \right)^{2}-2 x F_{267} \left(x \right)^{2}+F_{267}\! \left(x \right) x +2 F_{267}\! \left(x \right)-1
F_{268}\! \left(x , y_{0}\right) = F_{269}\! \left(x , y_{0}\right)
F_{269}\! \left(x , y_{0}\right) = F_{254}\! \left(x \right) F_{258}\! \left(x , y_{0}\right) F_{270}\! \left(x \right)
F_{270}\! \left(x \right) = F_{271}\! \left(x \right)
F_{271}\! \left(x \right) = F_{272}\! \left(x \right) F_{4}\! \left(x \right)
F_{272}\! \left(x \right) = F_{254}\! \left(x \right)+F_{273}\! \left(x \right)
F_{273}\! \left(x \right) = F_{270}\! \left(x \right)+F_{274}\! \left(x \right)
F_{274}\! \left(x \right) = F_{275}\! \left(x \right)
F_{275}\! \left(x \right) = F_{273}\! \left(x \right) F_{4}\! \left(x \right)
F_{277}\! \left(x , y_{0}\right) = F_{276}\! \left(x , y_{0}\right)+F_{278}\! \left(x , y_{0}\right)
F_{126}\! \left(x , y_{0}\right) = F_{121}\! \left(x , y_{0}\right)+F_{277}\! \left(x , y_{0}\right)
F_{278}\! \left(x , y_{0}\right) = F_{279}\! \left(x , y_{0}\right)
F_{279}\! \left(x , y_{0}\right) = F_{254}\! \left(x \right) F_{280}\! \left(x \right) F_{281}\! \left(x , y_{0}\right)
F_{280}\! \left(x \right) = F_{1}\! \left(x \right)+F_{270}\! \left(x \right)
F_{281}\! \left(x , y_{0}\right) = F_{258}\! \left(x , y_{0}\right)
F_{282}\! \left(x , y_{0}\right) = F_{123}\! \left(x , y_{0}\right)
F_{283}\! \left(x , y_{0}\right) = F_{284}\! \left(x , 1, y_{0}\right)
F_{284}\! \left(x , y_{0}, y_{1}\right) = F_{285}\! \left(x , y_{0}, y_{1}, 1\right)
F_{285}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{286}\! \left(x , y_{2}, y_{0}, y_{1}\right)
F_{286}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{287}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{77}\! \left(x , y_{2}\right)
F_{287}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-F_{288}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{0}+F_{288}\! \left(x , 1, y_{1}, y_{2}\right)}{-1+y_{0}}
F_{288}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{289}\! \left(x , y_{0}, y_{2}\right)+F_{293}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{289}\! \left(x , y_{0}, y_{1}\right) = F_{290}\! \left(x , y_{0}, y_{1}\right)+F_{291}\! \left(x , y_{0}, y_{1}\right)
F_{290}\! \left(x , y_{0}, y_{1}\right) = F_{116}\! \left(x , y_{0} y_{1}\right)
F_{291}\! \left(x , y_{0}, y_{1}\right) = F_{292}\! \left(x , y_{1}, y_{0}\right)
F_{292}\! \left(x , y_{0}, y_{1}\right) = F_{285}\! \left(x , 1, y_{0}, y_{1}\right)
F_{293}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{193}\! \left(x , y_{1}, y_{2}, y_{0}\right)
F_{294}\! \left(x , y_{0}\right) = F_{295}\! \left(x , y_{0}\right)
F_{295}\! \left(x , y_{0}\right) = F_{296}\! \left(x , y_{0}\right)
F_{296}\! \left(x , y_{0}\right) = F_{297}\! \left(x , y_{0}\right) F_{4}\! \left(x \right)
F_{298}\! \left(x , y_{0}\right) = F_{297}\! \left(x , y_{0}\right)+F_{328}\! \left(x , y_{0}\right)
F_{298}\! \left(x , y_{0}\right) = F_{299}\! \left(x , y_{0}\right)+F_{326}\! \left(x , y_{0}\right)
F_{227}\! \left(x , y_{0}\right) = F_{299}\! \left(x , y_{0}\right)+F_{300}\! \left(x , y_{0}\right)
F_{300}\! \left(x , y_{0}\right) = F_{301}\! \left(x , y_{0}\right)+F_{324}\! \left(x , y_{0}\right)
F_{301}\! \left(x , y_{0}\right) = F_{302}\! \left(x , y_{0}\right)+F_{303}\! \left(x , y_{0}\right)
F_{302}\! \left(x , y_{0}\right) = F_{247}\! \left(x , y_{0}\right)
F_{303}\! \left(x , y_{0}\right) = F_{304}\! \left(x , y_{0}\right)
F_{231}\! \left(x , y_{0}\right) = F_{304}\! \left(x , y_{0}\right)+F_{305}\! \left(x , y_{0}\right)
F_{305}\! \left(x , y_{0}\right) = F_{306}\! \left(x , y_{0}\right)
F_{306}\! \left(x , y_{0}\right) = F_{295}\! \left(x , y_{0}\right)+F_{307}\! \left(x , y_{0}\right)
F_{307}\! \left(x , y_{0}\right) = F_{308}\! \left(x , y_{0}\right)
F_{308}\! \left(x , y_{0}\right) = F_{14}\! \left(x \right)+F_{309}\! \left(x , y_{0}\right)
F_{309}\! \left(x , y_{0}\right) = F_{310}\! \left(x , y_{0}\right)
F_{310}\! \left(x , y_{0}\right) = F_{311}\! \left(x , y_{0}\right) F_{4}\! \left(x \right)
F_{311}\! \left(x , y_{0}\right) = -\frac{y_{0} \left(F_{312}\! \left(x , 1\right)-F_{312}\! \left(x , y_{0}\right)\right)}{-1+y_{0}}
F_{312}\! \left(x , y_{0}\right) = F_{313}\! \left(x , 1, y_{0}\right)
F_{232}\! \left(x , y_{0}, y_{1}\right) = F_{313}\! \left(x , y_{0}, y_{1}\right)+F_{314}\! \left(x , y_{0}\right)
F_{314}\! \left(x , y_{0}\right) = F_{315}\! \left(x , y_{0}\right)+F_{323}\! \left(x , y_{0}\right)
F_{315}\! \left(x , y_{0}\right) = F_{316}\! \left(x , y_{0}\right)
F_{316}\! \left(x , y_{0}\right) = F_{317}\! \left(x , y_{0}\right) F_{77}\! \left(x , y_{0}\right)
F_{318}\! \left(x , y_{0}\right) = F_{317}\! \left(x , y_{0}\right) F_{4}\! \left(x \right)
F_{318}\! \left(x , y_{0}\right) = F_{319}\! \left(x , y_{0}\right)
F_{319}\! \left(x , y_{0}\right) = F_{320}\! \left(x , y_{0}\right)+F_{321}\! \left(x , y_{0}\right)
F_{320}\! \left(x , y_{0}\right) = F_{15}\! \left(x , y_{0}\right)+F_{6}\! \left(x \right)
F_{321}\! \left(x , y_{0}\right) = F_{322}\! \left(x , y_{0}, 1\right)
F_{322}\! \left(x , y_{0}, y_{1}\right) = y_{0} F_{150}\! \left(x , y_{0}, y_{1}\right)
F_{323}\! \left(x , y_{0}\right) = -\frac{y_{0} \left(F_{15}\! \left(x , 1\right)-F_{15}\! \left(x , y_{0}\right)\right)}{-1+y_{0}}
F_{324}\! \left(x , y_{0}\right) = F_{325}\! \left(x , y_{0}\right)
F_{238}\! \left(x , y_{0}\right) = F_{325}\! \left(x , y_{0}\right)+F_{65}\! \left(x , y_{0}\right)
F_{326}\! \left(x , y_{0}\right) = F_{327}\! \left(x , y_{0}\right)
F_{140}\! \left(x , y_{0}\right) = F_{137}\! \left(x , y_{0}\right)+F_{327}\! \left(x , y_{0}\right)
F_{328}\! \left(x , y_{0}\right) = F_{163}\! \left(x , y_{0}\right)
F_{329}\! \left(x , y_{0}\right) = F_{252}\! \left(x \right) F_{330}\! \left(x , y_{0}\right)
F_{330}\! \left(x , y_{0}\right) = F_{331}\! \left(x , y_{0}\right)
F_{331}\! \left(x , y_{0}\right) = F_{118}\! \left(x , y_{0}\right)+F_{295}\! \left(x , y_{0}\right)
F_{332}\! \left(x , y_{0}\right) = F_{333}\! \left(x , y_{0}\right)+F_{334}\! \left(x , y_{0}\right)
F_{333}\! \left(x , y_{0}\right) = F_{254}\! \left(x \right) F_{280}\! \left(x \right) F_{79}\! \left(x , y_{0}\right)
F_{334}\! \left(x , y_{0}\right) = F_{335}\! \left(x , y_{0}\right)
F_{335}\! \left(x , y_{0}\right) = F_{71}\! \left(x , y_{0}\right) F_{75}\! \left(x , y_{0}\right) F_{77}\! \left(x , y_{0}\right) F_{79}\! \left(x , y_{0}\right)
F_{337}\! \left(x , y_{0}\right) = F_{336}\! \left(x , y_{0}\right) F_{4}\! \left(x \right)
F_{337}\! \left(x , y_{0}\right) = F_{338}\! \left(x , y_{0}\right)
F_{338}\! \left(x , y_{0}\right) = F_{205}\! \left(x , y_{0}\right)+F_{339}\! \left(x , y_{0}\right)
F_{339}\! \left(x , y_{0}\right) = F_{340}\! \left(x , y_{0}\right)
F_{340}\! \left(x , y_{0}\right) = F_{206}\! \left(x , y_{0}\right) F_{254}\! \left(x \right) F_{4}\! \left(x \right)
F_{342}\! \left(x , y_{0}\right) = F_{305}\! \left(x , y_{0}\right)+F_{341}\! \left(x , y_{0}\right)
F_{342}\! \left(x , y_{0}\right) = F_{343}\! \left(x , y_{0}\right)
F_{343}\! \left(x , y_{0}\right) = F_{344}\! \left(x , y_{0}\right) F_{4}\! \left(x \right)
F_{344}\! \left(x , y_{0}\right) = F_{345}\! \left(x , y_{0}\right)+F_{351}\! \left(x , y_{0}\right)
F_{345}\! \left(x , y_{0}\right) = F_{346}\! \left(x , y_{0}\right)+F_{347}\! \left(x , y_{0}\right)
F_{346}\! \left(x , y_{0}\right) = F_{298}\! \left(x , y_{0}\right)
F_{347}\! \left(x , y_{0}\right) = F_{348}\! \left(x , y_{0}\right)
F_{348}\! \left(x , y_{0}\right) = F_{349}\! \left(x , 1, y_{0}\right)
F_{349}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{350}\! \left(x , y_{0}, y_{1}\right) y_{0}+F_{350}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{350}\! \left(x , y_{0}, y_{1}\right) = F_{245}\! \left(x , y_{0}, y_{1}\right)+F_{66}\! \left(x , y_{1}\right)
F_{351}\! \left(x , y_{0}\right) = F_{352}\! \left(x , y_{0}\right)
F_{352}\! \left(x , y_{0}\right) = F_{353}\! \left(x , y_{0}\right) F_{4}\! \left(x \right)
F_{353}\! \left(x , y_{0}\right) = F_{354}\! \left(x , y_{0}, 1\right)
F_{354}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{355}\! \left(x , y_{0}, y_{1}\right) y_{1}+F_{355}\! \left(x , y_{0}, 1\right)}{-1+y_{1}}
F_{355}\! \left(x , y_{0}, y_{1}\right) = F_{297}\! \left(x , y_{0}\right)+F_{356}\! \left(x , y_{0}, y_{1}\right)
F_{356}\! \left(x , y_{0}, y_{1}\right) = F_{164}\! \left(x , y_{1}, y_{0}\right)
F_{357}\! \left(x , y_{0}\right) = F_{358}\! \left(x , 1, y_{0}\right)
F_{358}\! \left(x , y_{0}, y_{1}\right) = F_{359}\! \left(x , y_{1}, y_{0}\right)
F_{359}\! \left(x , y_{0}, y_{1}\right) = F_{360}\! \left(x , y_{0}, y_{1}\right) F_{77}\! \left(x , y_{1}\right)
F_{360}\! \left(x , y_{0}, y_{1}\right) = F_{361}\! \left(x , y_{1}, y_{0}\right)
F_{361}\! \left(x , y_{0}, y_{1}\right) = \frac{y_{0} F_{362}\! \left(x , y_{0}, 1\right)-F_{362}\! \left(x , y_{0}, \frac{y_{1}}{y_{0}}\right) y_{1}}{-y_{1}+y_{0}}
F_{362}\! \left(x , y_{0}, y_{1}\right) = F_{183}\! \left(x , y_{1}, y_{0}\right)
F_{363}\! \left(x , y_{0}, y_{1}\right) = F_{364}\! \left(x , y_{1}, y_{0}\right)
F_{364}\! \left(x , y_{0}, y_{1}\right) = -\frac{-y_{0} F_{365}\! \left(x , y_{0}, y_{1}\right)+F_{365}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{365}\! \left(x , y_{0}, y_{1}\right) = F_{123}\! \left(x , y_{1}\right)+F_{166}\! \left(x , y_{0}, y_{1}\right)
F_{366}\! \left(x , y_{0}, y_{1}\right) = F_{367}\! \left(x , y_{1}, y_{0}\right)
F_{367}\! \left(x , y_{0}, y_{1}\right) = F_{368}\! \left(x , y_{1}\right)+F_{382}\! \left(x , y_{0}, y_{1}\right)
F_{369}\! \left(x , y_{0}\right) = F_{368}\! \left(x , y_{0}\right)+F_{374}\! \left(x , y_{0}\right)
F_{369}\! \left(x , y_{0}\right) = F_{370}\! \left(x , y_{0}\right)
F_{370}\! \left(x , y_{0}\right) = F_{371}\! \left(x , y_{0}\right) F_{4}\! \left(x \right)
F_{372}\! \left(x , y_{0}\right) = F_{371}\! \left(x , y_{0}\right) F_{77}\! \left(x , y_{0}\right)
F_{372}\! \left(x , y_{0}\right) = F_{373}\! \left(x , y_{0}\right)
F_{373}\! \left(x , y_{0}\right) = -\frac{y_{0} \left(F_{50}\! \left(x , 1\right)-F_{50}\! \left(x , y_{0}\right)\right)}{-1+y_{0}}
F_{374}\! \left(x , y_{0}\right) = F_{375}\! \left(x , y_{0}\right)
F_{375}\! \left(x , y_{0}\right) = F_{376}\! \left(x , 1, y_{0}\right)
F_{376}\! \left(x , y_{0}, y_{1}\right) = F_{377}\! \left(x , y_{0} y_{1}, y_{1}\right)
F_{378}\! \left(x , y_{0}, y_{1}\right) = F_{377}\! \left(x , y_{0}, y_{1}\right)+F_{380}\! \left(x , y_{0}, y_{1}\right)
F_{379}\! \left(x , y_{0}, y_{1}\right) = F_{378}\! \left(x , y_{0}, y_{1}\right) F_{4}\! \left(x \right)
F_{379}\! \left(x , y_{0}, y_{1}\right) = F_{166}\! \left(x , y_{0}, y_{1}\right)
F_{164}\! \left(x , y_{0}, y_{1}\right) = F_{380}\! \left(x , y_{0}, y_{1}\right)+F_{381}\! \left(x , y_{0}, y_{1}\right)
F_{381}\! \left(x , y_{0}, y_{1}\right) = -\frac{y_{0} \left(F_{245}\! \left(x , 1, y_{1}\right)-F_{245}\! \left(x , y_{0}, y_{1}\right)\right)}{-1+y_{0}}
F_{382}\! \left(x , y_{0}, y_{1}\right) = F_{377}\! \left(x , y_{0}, y_{1}\right)
F_{383}\! \left(x , y_{0}\right) = F_{212}\! \left(x , 1, y_{0}\right)
F_{384}\! \left(x \right) = F_{385}\! \left(x \right)
F_{385}\! \left(x \right) = F_{386}\! \left(x , 1\right)
F_{386}\! \left(x , y_{0}\right) = -\frac{y_{0} \left(F_{387}\! \left(x , 1\right)-F_{387}\! \left(x , y_{0}\right)\right)}{-1+y_{0}}
F_{387}\! \left(x , y_{0}\right) = F_{16}\! \left(x , 1, y_{0}\right)
F_{388}\! \left(x \right) = F_{389}\! \left(x , 1\right)
F_{389}\! \left(x , y_{0}\right) = F_{390}\! \left(x , y_{0}\right)
F_{390}\! \left(x , y_{0}\right) = F_{391}\! \left(x , y_{0}\right) F_{4}\! \left(x \right)
F_{391}\! \left(x , y_{0}\right) = -\frac{y_{0} \left(F_{392}\! \left(x , 1\right)-F_{392}\! \left(x , y_{0}\right)\right)}{-1+y_{0}}
F_{392}\! \left(x , y_{0}\right) = F_{393}\! \left(x , y_{0}\right)+F_{395}\! \left(x , y_{0}\right)
F_{393}\! \left(x , y_{0}\right) = F_{394}\! \left(x , y_{0}\right)+F_{51}\! \left(x , y_{0}\right)
F_{394}\! \left(x , y_{0}\right) = -\frac{y_{0} \left(F_{387}\! \left(x , 1\right)-F_{387}\! \left(x , y_{0}\right)\right)}{-1+y_{0}}
F_{395}\! \left(x , y_{0}\right) = F_{389}\! \left(x , y_{0}\right)
F_{396}\! \left(x , y_{0}\right) = F_{397}\! \left(x , y_{0}\right)
F_{397}\! \left(x , y_{0}\right) = F_{378}\! \left(x , 1, y_{0}\right)
F_{398}\! \left(x , y_{0}, y_{1}\right) = F_{378}\! \left(x , y_{0}, y_{1}\right)
F_{399}\! \left(x , y_{0}, y_{1}\right) = -\frac{y_{1} \left(F_{400}\! \left(x , y_{0}, 1\right)-F_{400}\! \left(x , y_{0}, y_{1}\right)\right)}{-1+y_{1}}
F_{400}\! \left(x , y_{0}, y_{1}\right) = y_{0} F_{151}\! \left(x , y_{1}\right)
F_{401}\! \left(x , y_{0}, y_{1}\right) = -\frac{y_{1} \left(F_{176}\! \left(x , y_{0}, 1\right)-F_{176}\! \left(x , y_{0}, y_{1}\right)\right)}{-1+y_{1}}
F_{402}\! \left(x \right) = F_{50}\! \left(x , 1\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_4(x)*F_5(x))
Eq(F_4(x), x)
Eq(F_5(x), F_0(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_4(x)*F_8(x))
Eq(F_8(x), F_402(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_5(x))
Eq(F_10(x), F_11(x) + F_14(x))
Eq(F_11(x), -F_0(x) + F_12(x))
Eq(F_12(x), F_13(x)/F_4(x))
Eq(F_13(x), F_2(x))
Eq(F_14(x), F_15(x, 1))
Eq(F_15(x, k_0), F_16(x, k_0, 1))
Eq(F_16(x, k_0, k_1), F_17(x, k_0, k_1))
Eq(F_17(x, k_0, k_1), F_18(x, k_0, k_1)*F_77(x, k_0))
Eq(F_18(x, k_0, k_1), F_19(x, k_0, k_1) + F_401(x, k_0, k_1))
Eq(F_19(x, k_0, k_1), F_20(x, k_1) + F_399(x, k_0, k_1))
Eq(F_20(x, k_0), F_21(x, k_0))
Eq(F_21(x, k_0), F_22(x, k_0)*F_77(x, k_0))
Eq(F_22(x, k_0), F_23(x, 1, k_0))
Eq(F_23(x, k_0, k_1), F_24(x, k_0*k_1, k_1))
Eq(F_24(x, k_0, k_1), F_25(x, k_1) + F_398(x, k_0, k_1))
Eq(F_26(x, k_0), F_25(x, k_0) + F_396(x, k_0))
Eq(F_26(x, k_0), F_27(x) + F_37(x, k_0))
Eq(F_27(x), F_28(x) + F_30(x))
Eq(F_28(x), F_29(x)/F_4(x))
Eq(F_29(x), F_11(x))
Eq(F_30(x), F_31(x))
Eq(F_31(x), F_32(x) + F_388(x))
Eq(F_32(x), F_33(x) + F_384(x))
Eq(F_33(x), F_34(x))
Eq(F_34(x), F_35(x)*F_4(x))
Eq(F_35(x), F_27(x) + F_36(x))
Eq(F_36(x), F_37(x, 1))
Eq(F_38(x, k_0), F_37(x, k_0)*F_4(x))
Eq(F_38(x, k_0), F_39(x, k_0))
Eq(F_39(x, k_0), F_309(x, k_0) + F_40(x, k_0))
Eq(F_40(x, k_0), F_41(x, k_0))
Eq(F_41(x, k_0), F_42(x, k_0)*F_77(x, k_0))
Eq(F_43(x, k_0), F_383(x, k_0) + F_42(x, k_0))
Eq(F_44(x, k_0), F_43(x, k_0)*F_77(x, k_0))
Eq(F_44(x, k_0), F_45(x, k_0))
Eq(F_46(x, k_0), F_11(x) + F_45(x, k_0))
Eq(F_46(x, k_0), F_47(x, k_0))
Eq(F_47(x, k_0), F_4(x)*F_48(x, k_0))
Eq(F_48(x, k_0), F_368(x, k_0) + F_49(x, k_0))
Eq(F_49(x, k_0), F_50(x, k_0) + F_9(x))
Eq(F_50(x, k_0), F_39(x, k_0) + F_51(x, k_0))
Eq(F_51(x, k_0), F_52(x, k_0))
Eq(F_52(x, k_0), F_53(x, k_0)*F_77(x, k_0))
Eq(F_53(x, k_0), F_54(x, 1, k_0))
Eq(F_54(x, k_0, k_1), F_55(x, k_0, 1, k_1))
Eq(F_55(x, k_0, k_1, k_2), F_56(x, k_0, k_1*k_2, k_2))
Eq(F_56(x, k_0, k_1, k_2), F_57(x, k_0*k_2, k_1))
Eq(F_57(x, k_0, k_1), F_366(x, k_0, k_1) + F_58(x, k_0, k_1))
Eq(F_58(x, k_0, k_1), F_363(x, k_0, k_1) + F_59(x, k_0, k_1))
Eq(F_59(x, k_0, k_1), F_60(x, k_1, k_0))
Eq(F_61(x, k_0, k_1), F_4(x)*F_60(x, k_0, k_1))
Eq(F_61(x, k_0, k_1), F_62(x, k_0, k_1))
Eq(F_62(x, k_0, k_1), F_358(x, k_0, k_1) + F_63(x, k_1))
Eq(F_64(x, k_0), F_357(x, k_0) + F_63(x, k_0))
Eq(F_65(x, k_0), F_341(x, k_0) + F_64(x, k_0))
Eq(F_65(x, k_0), F_244(x, k_0) + F_66(x, k_0))
Eq(F_67(x, k_0), F_111(x, k_0) + F_66(x, k_0))
Eq(F_67(x, k_0), F_101(x, k_0) + F_68(x, k_0))
Eq(F_68(x, k_0), F_69(x, 1, k_0))
Eq(F_69(x, k_0, k_1), F_70(x, k_0, k_1) + F_80(x, k_0, k_1))
Eq(F_70(x, k_0, k_1), F_71(x, k_1) + F_78(x, k_0, k_1))
Eq(F_71(x, k_0), F_1(x) + F_72(x, k_0))
Eq(F_72(x, k_0), F_73(x, k_0))
Eq(F_73(x, k_0), F_71(x, k_0)*F_74(x, k_0)*F_77(x, k_0))
Eq(F_74(x, k_0), F_1(x) + F_75(x, k_0))
Eq(F_75(x, k_0), F_76(x, k_0))
Eq(F_76(x, k_0), F_74(x, k_0)*F_77(x, k_0))
Eq(F_77(x, k_0), k_0*x)
Eq(F_78(x, k_0, k_1), F_77(x, k_0)*F_79(x, k_1))
Eq(F_79(x, k_0), F_74(x, k_0))
Eq(F_80(x, k_0, k_1), F_81(x, k_0, k_1))
Eq(F_81(x, k_0, k_1), F_79(x, k_1)*F_82(x, k_0))
Eq(F_82(x, k_0), F_83(x, k_0) + F_89(x, k_0))
Eq(F_83(x, k_0), F_84(x, k_0))
Eq(F_84(x, k_0), F_77(x, k_0)*F_85(x, k_0))
Eq(F_85(x, k_0), F_74(x, k_0) + F_86(x, k_0))
Eq(F_86(x, k_0), F_83(x, k_0) + F_87(x, k_0))
Eq(F_87(x, k_0), F_88(x, k_0))
Eq(F_88(x, k_0), F_77(x, k_0)*F_86(x, k_0))
Eq(F_89(x, k_0), k_0*F_90(x, k_0))
Eq(F_90(x, k_0), F_91(x) + F_92(x, k_0) + F_93(x, k_0))
Eq(F_91(x), 0)
Eq(F_92(x, k_0), F_4(x)*F_75(x, k_0))
Eq(F_93(x, k_0), F_77(x, k_0)*F_94(x, k_0))
Eq(F_94(x, k_0), F_95(x, k_0) + F_98(x, k_0))
Eq(F_95(x, k_0), F_4(x) + F_96(x, k_0))
Eq(F_96(x, k_0), F_97(x, k_0))
Eq(F_97(x, k_0), F_77(x, k_0)*F_95(x, k_0))
Eq(F_98(x, k_0), F_90(x, k_0) + F_99(x, k_0))
Eq(F_99(x, k_0), F_100(x, k_0))
Eq(F_100(x, k_0), F_77(x, k_0)*F_98(x, k_0))
Eq(F_101(x, k_0), F_102(x, k_0))
Eq(F_102(x, k_0), F_103(x, k_0)*F_4(x))
Eq(F_104(x, k_0), F_103(x, k_0)*F_4(x))
Eq(F_104(x, k_0), F_105(x, k_0))
Eq(F_105(x, k_0), F_106(x, k_0)*F_4(x))
Eq(F_106(x, k_0), F_107(x, k_0) + F_336(x, k_0))
Eq(F_108(x, k_0), F_107(x, k_0)*F_4(x))
Eq(F_108(x, k_0), F_109(x, k_0))
Eq(F_110(x, k_0), F_109(x, k_0) + F_332(x, k_0))
Eq(F_110(x, k_0), F_111(x, k_0) + F_329(x, k_0))
Eq(F_111(x, k_0), F_112(x, k_0) + F_294(x, k_0))
Eq(F_112(x, k_0), F_0(x) + F_113(x, k_0))
Eq(F_113(x, k_0), F_114(x, k_0))
Eq(F_114(x, k_0), F_115(x, k_0)*F_77(x, k_0))
Eq(F_115(x, k_0), F_116(x, k_0) + F_283(x, k_0))
Eq(F_116(x, k_0), F_117(x, k_0))
Eq(F_117(x, k_0), F_118(x, k_0) + F_282(x, k_0))
Eq(F_118(x, k_0), F_119(x, k_0))
Eq(F_120(x, k_0), F_119(x, k_0)*F_265(x))
Eq(F_121(x, k_0), F_120(x, k_0) + F_124(x, k_0))
Eq(F_122(x, k_0), F_121(x, k_0)*F_4(x))
Eq(F_122(x, k_0), F_123(x, k_0))
Eq(F_123(x, k_0), F_11(x) + F_40(x, k_0))
Eq(F_125(x, k_0), F_124(x, k_0) + F_276(x, k_0))
Eq(F_126(x, k_0), F_125(x, k_0) + F_131(x, k_0))
Eq(F_126(x, k_0), F_127(x) + F_129(x, k_0))
Eq(F_127(x), F_128(x)/F_4(x))
Eq(F_128(x), F_10(x))
Eq(F_130(x, k_0), F_129(x, k_0)*F_4(x))
Eq(F_130(x, k_0), F_39(x, k_0))
Eq(F_131(x, k_0), F_132(x, k_0) + F_261(x, k_0))
Eq(F_132(x, k_0), F_133(x, k_0))
Eq(F_133(x, k_0), F_134(x, k_0) + F_248(x, k_0))
Eq(F_134(x, k_0), F_135(x, k_0))
Eq(F_136(x, k_0), F_135(x, k_0) + F_247(x, k_0))
Eq(F_137(x, k_0), F_136(x, k_0) + F_243(x, k_0))
Eq(F_137(x, k_0), F_138(x, k_0) + F_223(x, k_0))
Eq(F_139(x, k_0), F_138(x, k_0) + F_197(x, k_0))
Eq(F_140(x, k_0), F_139(x, k_0) + F_163(x, k_0))
Eq(F_140(x, k_0), F_141(x) + F_161(x, k_0))
Eq(F_141(x), F_142(x) + F_144(x))
Eq(F_142(x), F_143(x)/F_4(x))
Eq(F_143(x), F_11(x))
Eq(F_144(x), F_145(x, 1))
Eq(F_145(x, k_0), F_146(x, k_0) + F_32(x))
Eq(F_146(x, k_0), F_147(x, k_0, 1))
Eq(F_147(x, k_0, k_1), F_148(x, k_0, k_1, 1))
Eq(F_148(x, k_0, k_1, k_2), -F_149(x, k_0, k_1, k_2) + (-k_2*F_149(x, k_0, k_1, k_2) + F_149(x, k_0, k_1, 1))/(1 - k_2))
Eq(F_149(x, k_0, k_1, k_2), k_0*F_150(x, k_2, k_2))
Eq(F_150(x, k_0, k_1), F_151(x, k_1) + F_153(x, k_0, k_1))
Eq(F_151(x, k_0), F_152(x, k_0))
Eq(F_152(x, k_0), F_4(x)*F_51(x, k_0))
Eq(F_153(x, k_0, k_1), F_154(x, k_0, k_1))
Eq(F_154(x, k_0, k_1), F_155(x, k_0, k_1)*F_77(x, k_0))
Eq(F_155(x, k_0, k_1), F_156(x, k_0, k_1) + F_158(x, k_0, k_1))
Eq(F_156(x, k_0, k_1), F_157(x, k_0, k_1))
Eq(F_157(x, k_0, k_1), -F_150(x, k_0, 1) + (k_1*F_150(x, k_0, k_1) - F_150(x, k_0, 1))/(k_1 - 1))
Eq(F_158(x, k_0, k_1), F_159(x, k_0, k_1))
Eq(F_159(x, k_0, k_1), F_160(x, k_0, k_1)*F_4(x))
Eq(F_160(x, k_0, k_1), -F_18(x, k_0, 1) + (k_1*F_18(x, k_0, k_1) - F_18(x, k_0, 1))/(k_1 - 1))
Eq(F_162(x, k_0), F_161(x, k_0)*F_4(x))
Eq(F_162(x, k_0), F_39(x, k_0))
Eq(F_163(x, k_0), F_164(x, 1, k_0))
Eq(F_165(x, k_0, k_1), F_164(x, k_0, k_1)*F_4(x))
Eq(F_165(x, k_0, k_1), F_166(x, k_0, k_1))
Eq(F_166(x, k_0, k_1), F_167(x, k_0, k_1))
Eq(F_167(x, k_0, k_1), F_168(x, k_0, k_1)*F_77(x, k_0))
Eq(F_168(x, k_0, k_1), (-k_0*F_169(x, k_0, 1) + k_1*F_169(x, k_0, k_1/k_0))/(-k_0 + k_1))
Eq(F_169(x, k_0, k_1), F_170(x, k_0, k_0*k_1))
Eq(F_170(x, k_0, k_1), F_171(x, k_1) + F_196(x, k_0, k_1))
Eq(F_171(x, k_0), F_172(x, 1, k_0))
Eq(F_173(x, k_0, k_1), F_172(x, k_0, k_1) + F_187(x, k_0, k_1))
Eq(F_174(x, k_0, k_1), F_173(x, k_0, k_1) + F_178(x, k_0, k_1))
Eq(F_175(x, k_0, k_1), F_174(x, k_0, k_1)*F_77(x, k_1))
Eq(F_175(x, k_0, k_1), F_176(x, k_0, k_1))
Eq(F_176(x, k_0, k_1), F_16(x, k_0, k_1) + F_177(x, k_0, k_1))
Eq(F_177(x, k_0, k_1), k_0*F_153(x, k_0, k_1))
Eq(F_178(x, k_0, k_1), k_0*F_179(x, k_0, k_1))
Eq(F_180(x, k_0, k_1), F_179(x, k_0, k_1) + F_182(x, k_1))
Eq(F_181(x, k_0, k_1), F_180(x, k_0, k_1)*F_77(x, k_1))
Eq(F_181(x, k_0, k_1), F_150(x, k_0, k_1))
Eq(F_182(x, k_0), F_183(x, 1, k_0))
Eq(F_183(x, k_0, k_1), F_184(x, k_0, 1, k_1))
Eq(F_184(x, k_0, k_1, k_2), F_185(x, k_0, k_1*k_2, k_2))
Eq(F_185(x, k_0, k_1, k_2), F_186(x, k_0*k_2, k_1))
Eq(F_186(x, k_0, k_1), F_4(x)*F_57(x, k_0, k_1))
Eq(F_187(x, k_0, k_1), -F_188(x, 1, k_1) + (-k_0*F_188(x, k_0, k_1) + F_188(x, 1, k_1))/(1 - k_0))
Eq(F_188(x, k_0, k_1), F_189(x, k_0, k_1, 1))
Eq(F_189(x, k_0, k_1, k_2), F_190(x, k_0, k_1, k_1*k_2))
Eq(F_190(x, k_0, k_1, k_2), F_191(x, k_0, k_1, k_2))
Eq(F_191(x, k_0, k_1, k_2), F_192(x, k_0, k_1, k_2)*F_77(x, k_1))
Eq(F_192(x, k_0, k_1, k_2), (-k_1*F_193(x, k_0, k_1, 1) + k_2*F_193(x, k_0, k_1, k_2/k_1))/(-k_1 + k_2))
Eq(F_193(x, k_0, k_1, k_2), F_194(x, k_0, k_1, k_1*k_2))
Eq(F_194(x, k_0, k_1, k_2), F_172(x, k_0, k_2) + F_195(x, k_0, k_1, k_2))
Eq(F_195(x, k_0, k_1, k_2), -F_190(x, 1, k_1, k_2) + (-k_0*F_190(x, k_0, k_1, k_2) + F_190(x, 1, k_1, k_2))/(1 - k_0))
Eq(F_196(x, k_0, k_1), F_195(x, 1, k_0, k_1))
Eq(F_197(x, k_0), F_198(x, k_0))
Eq(F_198(x, k_0), F_199(x, k_0)*F_4(x))
Eq(F_200(x, k_0), F_199(x, k_0)*F_4(x))
Eq(F_200(x, k_0), F_201(x, k_0))
Eq(F_201(x, k_0), F_202(x, k_0) + F_203(x, k_0))
Eq(F_202(x, k_0), F_171(x, k_0))
Eq(F_203(x, k_0), F_204(x, k_0))
Eq(F_204(x, k_0), k_0*F_205(x, k_0))
Eq(F_205(x, k_0), F_206(x, k_0))
Eq(F_206(x, k_0), F_207(x, k_0))
Eq(F_207(x, k_0), F_208(x, k_0)*F_4(x))
Eq(F_208(x, k_0), F_209(x, k_0))
Eq(F_209(x, k_0), F_210(x, 1, k_0))
Eq(F_180(x, k_0, k_1), F_210(x, k_0, k_1) + F_211(x, k_0, k_1))
Eq(F_211(x, k_0, k_1), (-k_0*F_212(x, k_0, k_1) + F_212(x, 1, k_1))/(1 - k_0))
Eq(F_212(x, k_0, k_1), F_213(x, k_0, k_1, 1))
Eq(F_213(x, k_0, k_1, k_2), F_214(x, k_0, k_1, k_1*k_2))
Eq(F_214(x, k_0, k_1, k_2), F_215(x, k_2, k_0, k_1))
Eq(F_215(x, k_0, k_1, k_2), F_216(x, k_0, k_1, k_2)*F_77(x, k_2))
Eq(F_216(x, k_0, k_1, k_2), F_217(x, k_1, k_2, k_0))
Eq(F_217(x, k_0, k_1, k_2), (-k_1*F_218(x, k_0, k_1, 1) + k_2*F_218(x, k_0, k_1, k_2/k_1))/(-k_1 + k_2))
Eq(F_218(x, k_0, k_1, k_2), F_219(x, k_2, k_0, k_1))
Eq(F_219(x, k_0, k_1, k_2), F_220(x, k_0, k_1, k_2) + F_221(x, k_0, k_1, k_2))
Eq(F_220(x, k_0, k_1, k_2), F_210(x, k_1, k_0*k_2))
Eq(F_221(x, k_0, k_1, k_2), (-k_1*F_222(x, k_0, k_1, k_2) + F_222(x, k_0, 1, k_2))/(1 - k_1))
Eq(F_222(x, k_0, k_1, k_2), F_213(x, k_1, k_2, k_0))
Eq(F_223(x, k_0), F_224(x, k_0))
Eq(F_224(x, k_0), F_225(x, k_0)*F_4(x))
Eq(F_225(x, k_0), (k_0*F_226(x, k_0) - F_226(x, 1))/(k_0 - 1))
Eq(F_226(x, k_0), F_227(x, k_0))
Eq(F_227(x, k_0), F_228(x, k_0) + F_237(x, k_0))
Eq(F_228(x, k_0), F_229(x, k_0) + F_230(x, k_0))
Eq(F_229(x, k_0), F_136(x, k_0))
Eq(F_230(x, k_0), F_231(x, k_0))
Eq(F_231(x, k_0), F_232(x, 1, k_0))
Eq(F_232(x, k_0, k_1), F_172(x, k_0, k_1) + F_233(x, k_0, k_1))
Eq(F_233(x, k_0, k_1), -F_234(x, 1, k_1) + (-k_0*F_234(x, k_0, k_1) + F_234(x, 1, k_1))/(1 - k_0))
Eq(F_234(x, k_0, k_1), F_235(x, k_0, k_1))
Eq(F_235(x, k_0, k_1), F_236(x, k_0, k_1)*F_4(x))
Eq(F_236(x, k_0, k_1), (k_1*F_232(x, k_0, k_1) - F_232(x, k_0, 1))/(k_1 - 1))
Eq(F_237(x, k_0), F_238(x, k_0))
Eq(F_238(x, k_0), F_239(x, 1, k_0))
Eq(F_239(x, k_0, k_1), k_0*F_240(x, k_0, k_1))
Eq(F_240(x, k_0, k_1), F_210(x, k_0, k_1) + F_241(x, k_0, k_1))
Eq(F_241(x, k_0, k_1), (-k_0*F_242(x, k_0, k_1) + F_242(x, 1, k_1))/(1 - k_0))
Eq(F_242(x, k_0, k_1), F_214(x, k_0, 1, k_1))
Eq(F_243(x, k_0), F_244(x, k_0) + F_42(x, k_0))
Eq(F_244(x, k_0), F_245(x, 1, k_0))
Eq(F_245(x, k_0, k_1), F_246(x, 1, k_0, k_1))
Eq(F_246(x, k_0, k_1, k_2), k_0*F_214(x, k_0, k_1, k_2))
Eq(F_247(x, k_0), F_10(x) + F_39(x, k_0))
Eq(F_248(x, k_0), F_249(x, k_0) + F_251(x, k_0))
Eq(F_249(x, k_0), F_118(x, k_0)*F_250(x))
Eq(F_250(x), x*(x - 2)*(F_250(x) + 1)**2 + (x + 1)*(F_250(x) + 1) + F_250(x) - 1)
Eq(F_251(x, k_0), F_252(x)*F_258(x, k_0))
Eq(F_252(x), F_253(x))
Eq(F_253(x), F_254(x)*F_4(x))
Eq(F_254(x), F_255(x))
Eq(F_255(x), F_1(x) + F_256(x))
Eq(F_256(x), F_257(x))
Eq(F_257(x), F_255(x)*F_4(x))
Eq(F_258(x, k_0), F_259(x, k_0))
Eq(F_259(x, k_0), F_260(x, k_0)*F_4(x))
Eq(F_260(x, k_0), (k_0*F_229(x, k_0) - F_229(x, 1))/(k_0 - 1))
Eq(F_261(x, k_0), F_262(x, k_0))
Eq(F_262(x, k_0), F_263(x, k_0) + F_268(x, k_0))
Eq(F_263(x, k_0), F_118(x, k_0)*F_264(x))
Eq(F_264(x), F_265(x) - F_267(x))
Eq(F_265(x), F_266(x)/F_4(x))
Eq(F_266(x), F_2(x))
Eq(F_267(x), x*(x - 2)*F_267(x)**2 + (x + 2)*F_267(x) - 1)
Eq(F_268(x, k_0), F_269(x, k_0))
Eq(F_269(x, k_0), F_254(x)*F_258(x, k_0)*F_270(x))
Eq(F_270(x), F_271(x))
Eq(F_271(x), F_272(x)*F_4(x))
Eq(F_272(x), F_254(x) + F_273(x))
Eq(F_273(x), F_270(x) + F_274(x))
Eq(F_274(x), F_275(x))
Eq(F_275(x), F_273(x)*F_4(x))
Eq(F_277(x, k_0), F_276(x, k_0) + F_278(x, k_0))
Eq(F_126(x, k_0), F_121(x, k_0) + F_277(x, k_0))
Eq(F_278(x, k_0), F_279(x, k_0))
Eq(F_279(x, k_0), F_254(x)*F_280(x)*F_281(x, k_0))
Eq(F_280(x), F_1(x) + F_270(x))
Eq(F_281(x, k_0), F_258(x, k_0))
Eq(F_282(x, k_0), F_123(x, k_0))
Eq(F_283(x, k_0), F_284(x, 1, k_0))
Eq(F_284(x, k_0, k_1), F_285(x, k_0, k_1, 1))
Eq(F_285(x, k_0, k_1, k_2), F_286(x, k_2, k_0, k_1))
Eq(F_286(x, k_0, k_1, k_2), F_287(x, k_0, k_1, k_2)*F_77(x, k_2))
Eq(F_287(x, k_0, k_1, k_2), (k_0*F_288(x, k_0, k_1, k_2) - F_288(x, 1, k_1, k_2))/(k_0 - 1))
Eq(F_288(x, k_0, k_1, k_2), F_289(x, k_0, k_2) + F_293(x, k_0, k_1, k_2))
Eq(F_289(x, k_0, k_1), F_290(x, k_0, k_1) + F_291(x, k_0, k_1))
Eq(F_290(x, k_0, k_1), F_116(x, k_0*k_1))
Eq(F_291(x, k_0, k_1), F_292(x, k_1, k_0))
Eq(F_292(x, k_0, k_1), F_285(x, 1, k_0, k_1))
Eq(F_293(x, k_0, k_1, k_2), F_193(x, k_1, k_2, k_0))
Eq(F_294(x, k_0), F_295(x, k_0))
Eq(F_295(x, k_0), F_296(x, k_0))
Eq(F_296(x, k_0), F_297(x, k_0)*F_4(x))
Eq(F_298(x, k_0), F_297(x, k_0) + F_328(x, k_0))
Eq(F_298(x, k_0), F_299(x, k_0) + F_326(x, k_0))
Eq(F_227(x, k_0), F_299(x, k_0) + F_300(x, k_0))
Eq(F_300(x, k_0), F_301(x, k_0) + F_324(x, k_0))
Eq(F_301(x, k_0), F_302(x, k_0) + F_303(x, k_0))
Eq(F_302(x, k_0), F_247(x, k_0))
Eq(F_303(x, k_0), F_304(x, k_0))
Eq(F_231(x, k_0), F_304(x, k_0) + F_305(x, k_0))
Eq(F_305(x, k_0), F_306(x, k_0))
Eq(F_306(x, k_0), F_295(x, k_0) + F_307(x, k_0))
Eq(F_307(x, k_0), F_308(x, k_0))
Eq(F_308(x, k_0), F_14(x) + F_309(x, k_0))
Eq(F_309(x, k_0), F_310(x, k_0))
Eq(F_310(x, k_0), F_311(x, k_0)*F_4(x))
Eq(F_311(x, k_0), -F_312(x, 1) + (k_0*F_312(x, k_0) - F_312(x, 1))/(k_0 - 1))
Eq(F_312(x, k_0), F_313(x, 1, k_0))
Eq(F_232(x, k_0, k_1), F_313(x, k_0, k_1) + F_314(x, k_0))
Eq(F_314(x, k_0), F_315(x, k_0) + F_323(x, k_0))
Eq(F_315(x, k_0), F_316(x, k_0))
Eq(F_316(x, k_0), F_317(x, k_0)*F_77(x, k_0))
Eq(F_318(x, k_0), F_317(x, k_0)*F_4(x))
Eq(F_318(x, k_0), F_319(x, k_0))
Eq(F_319(x, k_0), F_320(x, k_0) + F_321(x, k_0))
Eq(F_320(x, k_0), F_15(x, k_0) + F_6(x))
Eq(F_321(x, k_0), F_322(x, k_0, 1))
Eq(F_322(x, k_0, k_1), k_0*F_150(x, k_0, k_1))
Eq(F_323(x, k_0), -F_15(x, 1) + (-k_0*F_15(x, k_0) + F_15(x, 1))/(1 - k_0))
Eq(F_324(x, k_0), F_325(x, k_0))
Eq(F_238(x, k_0), F_325(x, k_0) + F_65(x, k_0))
Eq(F_326(x, k_0), F_327(x, k_0))
Eq(F_140(x, k_0), F_137(x, k_0) + F_327(x, k_0))
Eq(F_328(x, k_0), F_163(x, k_0))
Eq(F_329(x, k_0), F_252(x)*F_330(x, k_0))
Eq(F_330(x, k_0), F_331(x, k_0))
Eq(F_331(x, k_0), F_118(x, k_0) + F_295(x, k_0))
Eq(F_332(x, k_0), F_333(x, k_0) + F_334(x, k_0))
Eq(F_333(x, k_0), F_254(x)*F_280(x)*F_79(x, k_0))
Eq(F_334(x, k_0), F_335(x, k_0))
Eq(F_335(x, k_0), F_71(x, k_0)*F_75(x, k_0)*F_77(x, k_0)*F_79(x, k_0))
Eq(F_337(x, k_0), F_336(x, k_0)*F_4(x))
Eq(F_337(x, k_0), F_338(x, k_0))
Eq(F_338(x, k_0), F_205(x, k_0) + F_339(x, k_0))
Eq(F_339(x, k_0), F_340(x, k_0))
Eq(F_340(x, k_0), F_206(x, k_0)*F_254(x)*F_4(x))
Eq(F_342(x, k_0), F_305(x, k_0) + F_341(x, k_0))
Eq(F_342(x, k_0), F_343(x, k_0))
Eq(F_343(x, k_0), F_344(x, k_0)*F_4(x))
Eq(F_344(x, k_0), F_345(x, k_0) + F_351(x, k_0))
Eq(F_345(x, k_0), F_346(x, k_0) + F_347(x, k_0))
Eq(F_346(x, k_0), F_298(x, k_0))
Eq(F_347(x, k_0), F_348(x, k_0))
Eq(F_348(x, k_0), F_349(x, 1, k_0))
Eq(F_349(x, k_0, k_1), (-k_0*F_350(x, k_0, k_1) + F_350(x, 1, k_1))/(1 - k_0))
Eq(F_350(x, k_0, k_1), F_245(x, k_0, k_1) + F_66(x, k_1))
Eq(F_351(x, k_0), F_352(x, k_0))
Eq(F_352(x, k_0), F_353(x, k_0)*F_4(x))
Eq(F_353(x, k_0), F_354(x, k_0, 1))
Eq(F_354(x, k_0, k_1), (-k_1*F_355(x, k_0, k_1) + F_355(x, k_0, 1))/(1 - k_1))
Eq(F_355(x, k_0, k_1), F_297(x, k_0) + F_356(x, k_0, k_1))
Eq(F_356(x, k_0, k_1), F_164(x, k_1, k_0))
Eq(F_357(x, k_0), F_358(x, 1, k_0))
Eq(F_358(x, k_0, k_1), F_359(x, k_1, k_0))
Eq(F_359(x, k_0, k_1), F_360(x, k_0, k_1)*F_77(x, k_1))
Eq(F_360(x, k_0, k_1), F_361(x, k_1, k_0))
Eq(F_361(x, k_0, k_1), (-k_0*F_362(x, k_0, 1) + k_1*F_362(x, k_0, k_1/k_0))/(-k_0 + k_1))
Eq(F_362(x, k_0, k_1), F_183(x, k_1, k_0))
Eq(F_363(x, k_0, k_1), F_364(x, k_1, k_0))
Eq(F_364(x, k_0, k_1), (k_0*F_365(x, k_0, k_1) - F_365(x, 1, k_1))/(k_0 - 1))
Eq(F_365(x, k_0, k_1), F_123(x, k_1) + F_166(x, k_0, k_1))
Eq(F_366(x, k_0, k_1), F_367(x, k_1, k_0))
Eq(F_367(x, k_0, k_1), F_368(x, k_1) + F_382(x, k_0, k_1))
Eq(F_369(x, k_0), F_368(x, k_0) + F_374(x, k_0))
Eq(F_369(x, k_0), F_370(x, k_0))
Eq(F_370(x, k_0), F_371(x, k_0)*F_4(x))
Eq(F_372(x, k_0), F_371(x, k_0)*F_77(x, k_0))
Eq(F_372(x, k_0), F_373(x, k_0))
Eq(F_373(x, k_0), -F_50(x, 1) + (k_0*F_50(x, k_0) - F_50(x, 1))/(k_0 - 1))
Eq(F_374(x, k_0), F_375(x, k_0))
Eq(F_375(x, k_0), F_376(x, 1, k_0))
Eq(F_376(x, k_0, k_1), F_377(x, k_0*k_1, k_1))
Eq(F_378(x, k_0, k_1), F_377(x, k_0, k_1) + F_380(x, k_0, k_1))
Eq(F_379(x, k_0, k_1), F_378(x, k_0, k_1)*F_4(x))
Eq(F_379(x, k_0, k_1), F_166(x, k_0, k_1))
Eq(F_164(x, k_0, k_1), F_380(x, k_0, k_1) + F_381(x, k_0, k_1))
Eq(F_381(x, k_0, k_1), -F_245(x, 1, k_1) + (k_0*F_245(x, k_0, k_1) - F_245(x, 1, k_1))/(k_0 - 1))
Eq(F_382(x, k_0, k_1), F_377(x, k_0, k_1))
Eq(F_383(x, k_0), F_212(x, 1, k_0))
Eq(F_384(x), F_385(x))
Eq(F_385(x), F_386(x, 1))
Eq(F_386(x, k_0), -F_387(x, 1) + (-k_0*F_387(x, k_0) + F_387(x, 1))/(1 - k_0))
Eq(F_387(x, k_0), F_16(x, 1, k_0))
Eq(F_388(x), F_389(x, 1))
Eq(F_389(x, k_0), F_390(x, k_0))
Eq(F_390(x, k_0), F_391(x, k_0)*F_4(x))
Eq(F_391(x, k_0), -F_392(x, 1) + (k_0*F_392(x, k_0) - F_392(x, 1))/(k_0 - 1))
Eq(F_392(x, k_0), F_393(x, k_0) + F_395(x, k_0))
Eq(F_393(x, k_0), F_394(x, k_0) + F_51(x, k_0))
Eq(F_394(x, k_0), -F_387(x, 1) + (k_0*F_387(x, k_0) - F_387(x, 1))/(k_0 - 1))
Eq(F_395(x, k_0), F_389(x, k_0))
Eq(F_396(x, k_0), F_397(x, k_0))
Eq(F_397(x, k_0), F_378(x, 1, k_0))
Eq(F_398(x, k_0, k_1), F_378(x, k_0, k_1))
Eq(F_399(x, k_0, k_1), -F_400(x, k_0, 1) + (k_1*F_400(x, k_0, k_1) - F_400(x, k_0, 1))/(k_1 - 1))
Eq(F_400(x, k_0, k_1), k_0*F_151(x, k_1))
Eq(F_401(x, k_0, k_1), -F_176(x, k_0, 1) + (k_1*F_176(x, k_0, k_1) - F_176(x, k_0, 1))/(k_1 - 1))
Eq(F_402(x), F_50(x, 1))
Pack JSON:
{"name": "point_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries", "initial_strats": [{"class_module": "tilings.strategies.rearrange_assumption", "strategy_class": "RearrangeAssumptionFactory"}, {"class_module": "tilings.strategies.assumption_insertion", "strategy_class": "AddAssumptionFactory"}, {"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}, {"class_module": "tilings.strategies.fusion.component", "strategy_class": "ComponentFusionFactory", "tracked": true, "isolation_level": null}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.detect_components", "strategy_class": "DetectComponentsStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": true, "workable": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 4, 3], [0, 1, 3, 4, 2], [0, 2, 3, 4, 1], [1, 0, 2, 4, 3], [1, 0, 3, 4, 2]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 4, 3], [0, 1, 3, 4, 2], [0, 2, 3, 4, 1], [1, 0, 2, 4, 3], [1, 0, 3, 4, 2]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "ComponentVerificationStrategy", "ignore_parent": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": [[0, 1, 2, 4, 3], [0, 1, 3, 4, 2], [0, 2, 3, 4, 1], [1, 0, 2, 4, 3], [1, 0, 3, 4, 2]]}], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 4, 3], "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, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 4, 3], "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]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 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