03412_03421_30412_30421_34012_34021_34102

Counting sequence:
1, 1, 2, 6, 24, 113, 581, 3146, 17633, 101365, 594304, 3540230, 21367282, 130390278, 803164248, 4987221901, 31185297791, 196201973008, 1241107206783, 7888759271959, 50359685978648, 322735036684027, 2075574213202199, 13391257038736244, 86651310174081355, 562204535238936678, 3656674121426996925, 23837943992274024778, 155728804520510159917, 1019345712943715516123, 6684484837927070519352, 43909206974083518851028, 288892886613463449552126, 1903568658598427033435547, 12560630268632965812996589, 82990752688472498712975188, 549023094379845451490991675, 3636337067822323239631781340, 24111412912400703096610473735, 160044503797727080841495827300, 1063395853966214237627632079643, 7072346479760278538567095390487, 47078901480871466102491601830430, 313663966030583604912198323035261, 2091515310397323950966002331985655, 13957233759453703157766032295976664, 93210405216660873670853773970453279, 622933975137830477336150208917929751, 4165997056237419295456906161727581942, 27879358984392706441253287871127185843, 186690328309189987380566944922677813295, 1250907190172143712933170297205931297254, 8386529132543295107289612448171710684277, 56257910129029346713028588313233720257372, 377589497220973074708100138500634569873045, 2535610335560303476564666058918263861407176, 17035826600344392673637481430377543408614317, 114512851756061034684506876453484961456067594, 770101927939601833575946228638087565677340227, 5181293231491605160292241014839469533368609224, 34875262593989572140506236004234851395363103469, 234844210841443686267857000443468830672442908601, 1582046709937796741120682252966940990840094846358, 10661789832176092861093238075244335988787902228488, 71879802929448850860887537163701288809692826426848, 484779681991596595844063772077116789302605650104214, 3270677905176362278467229710776651660038092203624404, 22074062566533679118305233747758502812766278265609647, 149029891275531837388673449646317040677554182626246183, 1006483873011593757371993337190253330982939308355264118, 6799523212743569530970896624849376237634327459900873381, 45949878256835539356692232734943939063091678487893700948, 310613809126459979914680561309198557518988464757063289679, 2100313031092762434721494819690818602973984691020003040174, 14205963633060928870588093278355491018159700884961986694295, 96111962697365398812612540766818224901663707550740556210753, 650430763341764905353236806099957833955834474452110267628050, 4402896862876227564333720127002080306634692456842743603653119, 29811704732798357544684919538476101116945108548152905041615945, 201903167995693922043247168862101483078828416345253662981207178, 1367743783227631133724568191703957846122833477652399951281091431, 9267637370474609093699715933709782691309174826976794717486477439, 62810673630883533679219119025369637489648254653541588621713016454, 425790109068076634387618503792411781069299747640774814446970515657, 2887041555375125114501234241600579735311157588035485596733917825019, 19579589579695061488488003993311859383579758783590789518916511955322, 132814358654281247543435699111883636966823765277282275890970661316949, 901104713084791542536080385019969044501854889044714642074977097256585, 6114940587768744564856524778172892178464967621268181186530907076494118, 41504386930674715237665856455515522369407747403744225549626524768299643, 281759548970989919214456690686025935709779211155078349940797518001227073, 1913129303651021556581893616507675599914847976354673460910295127667623112, 12992396521326103833461003021502309212692794609660387743363850132840820577, 88249397928909464179677937216605231842273627417897642310612253745731012413, 599528886207574945049328870865555682895789131844605455847571293207601421694, 4073640878201091857383145826291114285385154404845788074054970249898655653067, 27683950986582772986223881571654338784788278685699383709130432078296010683041, 188167491594159977128591062741581527564119759247406837172702133974792034472014, 1279177600693430075707761767469787179213709359917601870403701315482654080296939, 8697319060658259839196810441523008408835941852440274213685499268303538065822366, 59143481665219728650672439284009011157286020612760226893834709184247362602638179

Specification 1
Strategy pack name: point_and_col_placements_tracked_fusion_tracked_component_fusion_symmetries
Tree: http://permpal.com/tree/24715/
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[6,x]
F[4,x] = F[1,x]+F[229,x]+F[5,x]
F[5,x] = F[6,x]*F[7,x]
F[6,x] = x
F[7,x] = F[182,x]+F[8,x]
F[8,x] = F[0,x]+F[9,x]
F[9,x] = F[10,x]+F[11,x]+F[228,x]
F[10,x] = 0
F[11,x] = F[12,x]*F[6,x]
F[12,x] = F[10,x]+F[13,x]+F[226,x]+F[227,x]
F[13,x] = F[14,x]
F[14,x] = F[15,x]*F[6,x]
F[15,x] = F[16,x]+F[9,x]
F[16,x] = F[17,x]
F[17,x] = F[18,x]*F[6,x]
F[18,x] = F[19,x]
F[19,x] = F[20,x]*F[225,x]*F[6,x]
F[20,x] = 1/F[6,x]*F[21,x]
F[21,x] = F[22,x]
F[22,x] = F[10,x]+F[223,x]+F[23,x]
F[23,x] = F[24,x]*F[6,x]
F[24,x] = F[1,x]+F[220,x]+F[221,x]+F[25,x]
F[25,x] = F[26,x,1]
F[26,x,k[0]] = F[27,x,k[0]]*F[6,x]
F[27,x,k[0]] = F[28,x]+F[29,x,k[0]]
F[28,x] = F[12,x]+F[4,x]
F[29,x,k[0]] = F[10,x]+F[217,x,k[0]]+F[218,x,k[0]]+F[219,x,k[0]]+F[30,x,k[0]]
F[30,x,k[0]] = F[31,x,k[0]]
F[31,x,k[0]] = F[32,x,k[0]]*F[6,x]
F[32,x,k[0]] = F[33,x,k[0]]
F[34,x,k[0]] = F[215,x]+F[33,x,k[0]]
F[35,x,k[0]] = F[34,x,k[0]]*F[6,x]
F[36,x,k[0]] = F[1,x]+F[213,x,k[0]]+F[214,x,k[0]]+F[35,x,k[0]]+F[46,x,k[0]]
F[36,x,k[0]] = F[212,x,k[0]]+F[37,x,k[0]]
F[38,x,k[0]] = F[208,x,k[0]]+F[37,x,k[0]]
F[38,x,k[0]] = F[39,x,k[0]]+F[95,x,k[0]]
F[39,x,k[0]] = 2*F[40,x,k[0]]+F[1,x]+F[94,x,k[0]]
F[40,x,k[0]] = F[41,x,k[0]]*F[6,x]
F[41,x,k[0]] = F[1,x]+F[42,x,k[0]]+F[43,x,k[0]]+F[93,x,k[0]]
F[42,x,k[0]] = F[36,x,k[0]]*F[6,x]
F[43,x,k[0]] = F[44,x,k[0]]*F[6,x]
F[44,x,k[0]] = F[41,x,k[0]]+F[45,x,k[0]]
F[45,x,k[0]] = F[10,x]+F[46,x,k[0]]+F[89,x,k[0]]+F[90,x,k[0]]+F[92,x,k[0]]
F[46,x,k[0]] = F[47,x,k[0]]*F[6,x]
F[47,x,k[0]] = 1/(-1+k[0])*(F[48,x,k[0]]*k[0]-F[48,x,1])
F[48,x,k[0]] = F[1,x]+F[49,x,k[0]]+F[54,x,k[0]]+F[87,x,k[0]]+F[88,x,k[0]]
F[49,x,k[0]] = F[50,x,k[0]]*F[6,x]
F[50,x,k[0]] = F[51,x,k[0]]+F[59,x,k[0]]
F[51,x,k[0]] = F[1,x]+F[52,x,k[0]]+F[54,x,k[0]]+F[55,x,k[0]]+F[57,x,k[0]]
F[52,x,k[0]] = F[53,x,k[0]]*F[6,x]
F[53,x,k[0]] = 1/(-1+k[0])*(F[27,x,k[0]]*k[0]-F[27,x,1])
F[54,x,k[0]] = F[47,x,k[0]]*F[6,x]
F[55,x,k[0]] = F[56,x,k[0]]*F[6,x]
F[56,x,k[0]] = 1/(-1+k[0])*(F[51,x,k[0]]*k[0]-F[51,x,1])
F[57,x,k[0]] = F[51,x,k[0]]*F[58,x,k[0]]
F[58,x,k[0]] = k[0]*x
F[59,x,k[0]] = F[60,x,k[0]]
F[60,x,k[0]] = F[10,x]+F[61,x,k[0]]+F[63,x,k[0]]+F[81,x,k[0]]+F[83,x,k[0]]+F[86,x,k[0]]
F[61,x,k[0]] = F[6,x]*F[62,x,k[0]]
F[62,x,k[0]] = 1/(-1+k[0])*(F[34,x,k[0]]*k[0]-F[34,x,1])
F[63,x,k[0]] = F[64,x]
F[64,x] = F[6,x]*F[65,x]
F[65,x] = F[66,x]
F[66,x] = F[10,x]+F[67,x]+F[71,x]+F[79,x]
F[67,x] = F[6,x]*F[68,x]
F[68,x] = F[69,x]+F[7,x]
F[69,x] = F[70,x,1]
F[48,x,k[0]] = F[7,x]+F[70,x,k[0]]
F[71,x] = F[6,x]*F[72,x]
F[72,x] = F[73,x]
F[73,x] = F[74,x,1]
F[74,x,k[0]] = F[10,x]+F[75,x,k[0]]+F[76,x,k[0]]+F[77,x,k[0]]+F[78,x,k[0]]
F[75,x,k[0]] = F[34,x,k[0]]*F[6,x]
F[76,x,k[0]] = F[64,x]
F[77,x,k[0]] = F[6,x]*F[60,x,k[0]]
F[78,x,k[0]] = F[58,x,k[0]]*F[74,x,k[0]]
F[79,x] = F[80,x]
F[80,x] = F[6,x]*F[66,x]
F[81,x,k[0]] = F[6,x]*F[82,x,k[0]]
F[82,x,k[0]] = 1/(-1+k[0])*(F[60,x,k[0]]*k[0]-F[60,x,1])
F[83,x,k[0]] = F[84,x,k[0]]
F[84,x,k[0]] = F[6,x]*F[85,x,k[0]]
F[85,x,k[0]] = 1/(-1+k[0])*(F[74,x,k[0]]*k[0]-F[74,x,1])
F[86,x,k[0]] = F[78,x,k[0]]
F[87,x,k[0]] = F[47,x,k[0]]*F[6,x]
F[88,x,k[0]] = F[48,x,k[0]]*F[58,x,k[0]]
F[89,x,k[0]] = F[6,x]*F[60,x,k[0]]
F[90,x,k[0]] = F[91,x]
F[91,x] = F[6,x]*F[65,x]
F[92,x,k[0]] = F[45,x,k[0]]*F[58,x,k[0]]
F[93,x,k[0]] = F[41,x,k[0]]*F[58,x,k[0]]
F[94,x,k[0]] = F[39,x,k[0]]*F[58,x,k[0]]
F[95,x,k[0]] = F[96,x,k[0]]
F[96,x,k[0]] = F[6,x]*F[97,x,k[0]]
F[97,x,k[0]] = F[177,x,k[0]]+F[196,x,k[0]]+F[201,x,k[0]]+F[207,x,k[0]]+F[98,x,k[0]]
F[98,x,k[0]] = F[1,x]+F[161,x,k[0]]+F[167,x,k[0]]+F[176,x,k[0]]+F[99,x,k[0]]
F[99,x,k[0]] = F[100,x,k[0]]*F[6,x]
F[34,x,k[0]] = F[100,x,k[0]]+F[101,x,k[0]]
F[101,x,k[0]] = F[102,x,k[0]]
F[102,x,k[0]] = 2*F[10,x]+F[103,x,k[0]]+F[138,x,k[0]]+F[160,x,k[0]]
F[103,x,k[0]] = F[104,x,k[0]]
F[104,x,k[0]] = F[105,x,k[0]]*F[6,x]
F[105,x,k[0]] = F[10,x]+F[106,x,k[0]]+F[108,x,k[0]]+F[109,x,k[0]]+F[137,x,k[0]]
F[106,x,k[0]] = F[107,x,k[0]]
F[107,x,k[0]] = F[102,x,k[0]]*F[6,x]
F[108,x,k[0]] = F[104,x,k[0]]
F[109,x,k[0]] = F[110,x,k[0]]*F[6,x]
F[110,x,k[0]] = F[111,x]+F[113,x,k[0]]
F[111,x] = F[112,x]+F[7,x]
F[112,x] = F[73,x]
F[113,x,k[0]] = F[10,x]+F[114,x,k[0]]+F[117,x,k[0]]+F[122,x,k[0]]+F[124,x,k[0]]+F[134,x,k[0]]
F[114,x,k[0]] = F[115,x,k[0]]
F[115,x,k[0]] = F[116,x,k[0]]*F[6,x]
F[116,x,k[0]] = -k[0]*(F[32,x,1]-F[32,x,k[0]])/(-1+k[0])
F[117,x,k[0]] = F[118,x,k[0]]
F[70,x,k[0]] = F[10,x]+F[118,x,k[0]]+F[119,x,k[0]]+F[121,x,k[0]]+F[88,x,k[0]]
F[119,x,k[0]] = F[120,x,k[0]]*F[6,x]
F[120,x,k[0]] = -k[0]*(F[70,x,1]-F[70,x,k[0]])/(-1+k[0])
F[121,x,k[0]] = F[120,x,k[0]]*F[6,x]
F[122,x,k[0]] = F[123,x,k[0]]*F[6,x]
F[123,x,k[0]] = -k[0]*(F[113,x,1]-F[113,x,k[0]])/(-1+k[0])
F[124,x,k[0]] = F[125,x,k[0]]*F[6,x]
F[125,x,k[0]] = -k[0]*(F[126,x,1]-F[126,x,k[0]])/(-1+k[0])
F[126,x,k[0]] = F[127,x,k[0]]+F[29,x,k[0]]
F[127,x,k[0]] = F[128,x,k[0]]
F[70,x,k[0]] = F[128,x,k[0]]+F[129,x,k[0]]
F[129,x,k[0]] = F[10,x]+F[130,x,k[0]]+F[131,x,k[0]]+F[132,x,k[0]]
F[130,x,k[0]] = F[29,x,k[0]]*F[6,x]
F[131,x,k[0]] = F[6,x]*F[70,x,k[0]]
F[132,x,k[0]] = F[133,x,k[0]]*F[58,x,k[0]]
F[133,x,k[0]] = F[129,x,k[0]]+F[8,x]
F[134,x,k[0]] = F[135,x,k[0]]*F[58,x,k[0]]
F[135,x,k[0]] = F[136,x,k[0]]+F[48,x,k[0]]
F[136,x,k[0]] = F[74,x,k[0]]
F[137,x,k[0]] = F[105,x,k[0]]*F[58,x,k[0]]
F[34,x,k[0]] = F[1,x]+F[138,x,k[0]]+F[139,x]+F[141,x]+F[143,x,k[0]]+F[156,x,k[0]]
F[139,x] = F[140,x]*F[6,x]
F[140,x] = F[36,x,1]
F[141,x] = F[142,x]*F[6,x]
F[142,x] = F[44,x,1]
F[143,x,k[0]] = F[144,x,k[0]]*F[6,x]
F[144,x,k[0]] = F[145,x]+F[155,x,k[0]]
F[145,x] = F[146,x]+F[154,x]
F[146,x] = F[1,x]+F[147,x]+F[151,x]+F[153,x]+F[67,x]
F[147,x] = F[148,x]*F[6,x]
F[148,x] = F[149,x,1]
F[149,x,k[0]] = F[150,x,k[0]]+F[51,x,k[0]]
F[150,x,k[0]] = F[74,x,k[0]]
F[151,x] = F[152,x]*F[6,x]
F[152,x] = F[18,x]+F[7,x]
F[153,x] = F[145,x]*F[6,x]
F[154,x] = F[12,x]
F[155,x,k[0]] = F[29,x,k[0]]
F[156,x,k[0]] = F[157,x,k[0]]*F[58,x,k[0]]
F[157,x,k[0]] = F[158,x]+F[32,x,k[0]]
F[158,x] = F[15,x]+F[159,x]
F[159,x] = F[0,x]+F[22,x]
F[160,x,k[0]] = F[102,x,k[0]]*F[58,x,k[0]]
F[161,x,k[0]] = F[162,x,k[0]]*F[6,x]
F[162,x,k[0]] = 1/(-1+k[0])*(F[163,x,k[0]]*k[0]-F[163,x,1])
F[164,x,k[0]] = F[163,x,k[0]]+F[166,x,k[0]]
F[164,x,k[0]] = F[165,x,k[0]]+F[27,x,k[0]]
F[165,x,k[0]] = F[65,x]
F[166,x,k[0]] = F[105,x,k[0]]
F[167,x,k[0]] = F[168,x,k[0]]*F[6,x]
F[168,x,k[0]] = 1/(-1+k[0])*(F[169,x,k[0]]*k[0]-F[169,x,1])
F[98,x,k[0]] = F[169,x,k[0]]+F[170,x,k[0]]
F[170,x,k[0]] = F[171,x,k[0]]
F[74,x,k[0]] = F[171,x,k[0]]+F[172,x,k[0]]
F[105,x,k[0]] = F[172,x,k[0]]+F[173,x,k[0]]
F[173,x,k[0]] = F[10,x]+F[104,x,k[0]]+F[174,x,k[0]]+F[175,x,k[0]]
F[174,x,k[0]] = F[48,x,k[0]]*F[6,x]
F[175,x,k[0]] = F[173,x,k[0]]*F[58,x,k[0]]
F[176,x,k[0]] = F[58,x,k[0]]*F[98,x,k[0]]
F[177,x,k[0]] = F[178,x,k[0]]
F[178,x,k[0]] = F[179,x,k[0]]*F[6,x]
F[180,x,k[0]] = F[179,x,k[0]]*F[6,x]
F[180,x,k[0]] = F[181,x,k[0]]
F[181,x,k[0]] = F[128,x,k[0]]+F[182,x]
F[182,x] = F[10,x]+F[183,x]+F[194,x]+F[195,x]
F[183,x] = F[184,x]*F[6,x]
F[184,x] = F[10,x]+F[185,x]+F[188,x]+F[191,x]+F[193,x]
F[185,x] = F[186,x]
F[186,x] = F[187,x]*F[6,x]
F[187,x] = F[32,x,1]
F[188,x] = F[189,x]
F[189,x] = F[190,x]*F[6,x]
F[190,x] = F[29,x,1]
F[191,x] = F[192,x]*F[6,x]
F[192,x] = F[113,x,1]
F[193,x] = F[148,x]*F[6,x]
F[194,x] = F[6,x]*F[69,x]
F[195,x] = F[6,x]*F[68,x]
F[196,x,k[0]] = F[197,x,k[0]]
F[197,x,k[0]] = F[198,x,k[0]]*F[6,x]
F[199,x,k[0]] = F[198,x,k[0]]*F[6,x]
F[199,x,k[0]] = F[200,x,k[0]]
F[149,x,k[0]] = F[200,x,k[0]]+F[98,x,k[0]]
F[201,x,k[0]] = F[202,x,k[0]]
F[202,x,k[0]] = F[20,x]*F[203,x,k[0]]*F[6,x]
F[203,x,k[0]] = F[1,x]+F[204,x,k[0]]+F[206,x,k[0]]
F[204,x,k[0]] = F[205,x,k[0]]*F[6,x]
F[205,x,k[0]] = 1/(-1+k[0])*(F[203,x,k[0]]*k[0]-F[203,x,1])
F[206,x,k[0]] = F[203,x,k[0]]*F[58,x,k[0]]
F[207,x,k[0]] = F[58,x,k[0]]*F[97,x,k[0]]
F[208,x,k[0]] = F[209,x,k[0]]
F[209,x,k[0]] = F[10,x]+F[210,x,k[0]]+F[211,x,k[0]]+F[42,x,k[0]]
F[210,x,k[0]] = F[45,x,k[0]]*F[6,x]
F[211,x,k[0]] = F[209,x,k[0]]*F[58,x,k[0]]
F[212,x,k[0]] = F[45,x,k[0]]
F[213,x,k[0]] = F[50,x,k[0]]*F[6,x]
F[214,x,k[0]] = F[36,x,k[0]]*F[58,x,k[0]]
F[215,x] = F[158,x]+F[216,x]
F[216,x] = F[66,x]
F[217,x,k[0]] = F[130,x,k[0]]
F[218,x,k[0]] = F[113,x,k[0]]*F[6,x]
F[219,x,k[0]] = F[27,x,k[0]]*F[58,x,k[0]]
F[220,x] = F[6,x]*F[68,x]
F[221,x] = F[222,x]*F[6,x]
F[222,x] = F[51,x,1]
F[223,x] = F[224,x]*F[6,x]
F[224,x] = F[16,x]+F[22,x]
F[225,x] = F[203,x,1]
F[226,x] = F[11,x]
F[227,x] = F[111,x]*F[6,x]
F[228,x] = F[6,x]*F[7,x]
F[229,x] = F[28,x]*F[6,x]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{4}\! \left(x \right) F_{6}\! \left(x \right)
F_{4}\! \left(x \right) = F_{1}\! \left(x \right)+F_{229}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{6}\! \left(x \right) F_{7}\! \left(x \right)
F_{6}\! \left(x \right) = x
F_{7}\! \left(x \right) = F_{182}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{0}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{11}\! \left(x \right)+F_{228}\! \left(x \right)
F_{10}\! \left(x \right) = 0
F_{11}\! \left(x \right) = F_{12}\! \left(x \right) F_{6}\! \left(x \right)
F_{12}\! \left(x \right) = F_{10}\! \left(x \right)+F_{13}\! \left(x \right)+F_{226}\! \left(x \right)+F_{227}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right) F_{6}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)+F_{9}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right) F_{6}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right) F_{225}\! \left(x \right) F_{6}\! \left(x \right)
F_{20}\! \left(x \right) = \frac{F_{21}\! \left(x \right)}{F_{6}\! \left(x \right)}
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{10}\! \left(x \right)+F_{223}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right) F_{6}\! \left(x \right)
F_{24}\! \left(x \right) = F_{1}\! \left(x \right)+F_{220}\! \left(x \right)+F_{221}\! \left(x \right)+F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x , 1\right)
F_{26}\! \left(x , y\right) = F_{27}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{27}\! \left(x , y\right) = F_{28}\! \left(x \right)+F_{29}\! \left(x , y\right)
F_{28}\! \left(x \right) = F_{12}\! \left(x \right)+F_{4}\! \left(x \right)
F_{29}\! \left(x , y\right) = F_{10}\! \left(x \right)+F_{217}\! \left(x , y\right)+F_{218}\! \left(x , y\right)+F_{219}\! \left(x , y\right)+F_{30}\! \left(x , y\right)
F_{30}\! \left(x , y\right) = F_{31}\! \left(x , y\right)
F_{31}\! \left(x , y\right) = F_{32}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{32}\! \left(x , y\right) = F_{33}\! \left(x , y\right)
F_{34}\! \left(x , y\right) = F_{215}\! \left(x \right)+F_{33}\! \left(x , y\right)
F_{35}\! \left(x , y\right) = F_{34}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{36}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{213}\! \left(x , y\right)+F_{214}\! \left(x , y\right)+F_{35}\! \left(x , y\right)+F_{46}\! \left(x , y\right)
F_{36}\! \left(x , y\right) = F_{212}\! \left(x , y\right)+F_{37}\! \left(x , y\right)
F_{38}\! \left(x , y\right) = F_{208}\! \left(x , y\right)+F_{37}\! \left(x , y\right)
F_{38}\! \left(x , y\right) = F_{39}\! \left(x , y\right)+F_{95}\! \left(x , y\right)
F_{39}\! \left(x , y\right) = 2 F_{40}\! \left(x , y\right)+F_{1}\! \left(x \right)+F_{94}\! \left(x , y\right)
F_{40}\! \left(x , y\right) = F_{41}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{41}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{42}\! \left(x , y\right)+F_{43}\! \left(x , y\right)+F_{93}\! \left(x , y\right)
F_{42}\! \left(x , y\right) = F_{36}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{43}\! \left(x , y\right) = F_{44}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{44}\! \left(x , y\right) = F_{41}\! \left(x , y\right)+F_{45}\! \left(x , y\right)
F_{45}\! \left(x , y\right) = F_{10}\! \left(x \right)+F_{46}\! \left(x , y\right)+F_{89}\! \left(x , y\right)+F_{90}\! \left(x , y\right)+F_{92}\! \left(x , y\right)
F_{46}\! \left(x , y\right) = F_{47}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{47}\! \left(x , y\right) = -\frac{-F_{48}\! \left(x , y\right) y +F_{48}\! \left(x , 1\right)}{-1+y}
F_{48}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{49}\! \left(x , y\right)+F_{54}\! \left(x , y\right)+F_{87}\! \left(x , y\right)+F_{88}\! \left(x , y\right)
F_{49}\! \left(x , y\right) = F_{50}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{50}\! \left(x , y\right) = F_{51}\! \left(x , y\right)+F_{59}\! \left(x , y\right)
F_{51}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{52}\! \left(x , y\right)+F_{54}\! \left(x , y\right)+F_{55}\! \left(x , y\right)+F_{57}\! \left(x , y\right)
F_{52}\! \left(x , y\right) = F_{53}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{53}\! \left(x , y\right) = -\frac{-F_{27}\! \left(x , y\right) y +F_{27}\! \left(x , 1\right)}{-1+y}
F_{54}\! \left(x , y\right) = F_{47}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{55}\! \left(x , y\right) = F_{56}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{56}\! \left(x , y\right) = -\frac{-F_{51}\! \left(x , y\right) y +F_{51}\! \left(x , 1\right)}{-1+y}
F_{57}\! \left(x , y\right) = F_{51}\! \left(x , y\right) F_{58}\! \left(x , y\right)
F_{58}\! \left(x , y\right) = y x
F_{59}\! \left(x , y\right) = F_{60}\! \left(x , y\right)
F_{60}\! \left(x , y\right) = F_{10}\! \left(x \right)+F_{61}\! \left(x , y\right)+F_{63}\! \left(x , y\right)+F_{81}\! \left(x , y\right)+F_{83}\! \left(x , y\right)+F_{86}\! \left(x , y\right)
F_{61}\! \left(x , y\right) = F_{6}\! \left(x \right) F_{62}\! \left(x , y\right)
F_{62}\! \left(x , y\right) = -\frac{-F_{34}\! \left(x , y\right) y +F_{34}\! \left(x , 1\right)}{-1+y}
F_{63}\! \left(x , y\right) = F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{6}\! \left(x \right) F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{10}\! \left(x \right)+F_{67}\! \left(x \right)+F_{71}\! \left(x \right)+F_{79}\! \left(x \right)
F_{67}\! \left(x \right) = F_{6}\! \left(x \right) F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)+F_{7}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x , 1\right)
F_{48}\! \left(x , y\right) = F_{7}\! \left(x \right)+F_{70}\! \left(x , y\right)
F_{71}\! \left(x \right) = F_{6}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x , 1\right)
F_{74}\! \left(x , y\right) = F_{10}\! \left(x \right)+F_{75}\! \left(x , y\right)+F_{76}\! \left(x , y\right)+F_{77}\! \left(x , y\right)+F_{78}\! \left(x , y\right)
F_{75}\! \left(x , y\right) = F_{34}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{76}\! \left(x , y\right) = F_{64}\! \left(x \right)
F_{77}\! \left(x , y\right) = F_{6}\! \left(x \right) F_{60}\! \left(x , y\right)
F_{78}\! \left(x , y\right) = F_{58}\! \left(x , y\right) F_{74}\! \left(x , y\right)
F_{79}\! \left(x \right) = F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{6}\! \left(x \right) F_{66}\! \left(x \right)
F_{81}\! \left(x , y\right) = F_{6}\! \left(x \right) F_{82}\! \left(x , y\right)
F_{82}\! \left(x , y\right) = -\frac{-F_{60}\! \left(x , y\right) y +F_{60}\! \left(x , 1\right)}{-1+y}
F_{83}\! \left(x , y\right) = F_{84}\! \left(x , y\right)
F_{84}\! \left(x , y\right) = F_{6}\! \left(x \right) F_{85}\! \left(x , y\right)
F_{85}\! \left(x , y\right) = -\frac{-F_{74}\! \left(x , y\right) y +F_{74}\! \left(x , 1\right)}{-1+y}
F_{86}\! \left(x , y\right) = F_{78}\! \left(x , y\right)
F_{87}\! \left(x , y\right) = F_{47}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{88}\! \left(x , y\right) = F_{48}\! \left(x , y\right) F_{58}\! \left(x , y\right)
F_{89}\! \left(x , y\right) = F_{6}\! \left(x \right) F_{60}\! \left(x , y\right)
F_{90}\! \left(x , y\right) = F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{6}\! \left(x \right) F_{65}\! \left(x \right)
F_{92}\! \left(x , y\right) = F_{45}\! \left(x , y\right) F_{58}\! \left(x , y\right)
F_{93}\! \left(x , y\right) = F_{41}\! \left(x , y\right) F_{58}\! \left(x , y\right)
F_{94}\! \left(x , y\right) = F_{39}\! \left(x , y\right) F_{58}\! \left(x , y\right)
F_{95}\! \left(x , y\right) = F_{96}\! \left(x , y\right)
F_{96}\! \left(x , y\right) = F_{6}\! \left(x \right) F_{97}\! \left(x , y\right)
F_{97}\! \left(x , y\right) = F_{177}\! \left(x , y\right)+F_{196}\! \left(x , y\right)+F_{201}\! \left(x , y\right)+F_{207}\! \left(x , y\right)+F_{98}\! \left(x , y\right)
F_{98}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{161}\! \left(x , y\right)+F_{167}\! \left(x , y\right)+F_{176}\! \left(x , y\right)+F_{99}\! \left(x , y\right)
F_{99}\! \left(x , y\right) = F_{100}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{34}\! \left(x , y\right) = F_{100}\! \left(x , y\right)+F_{101}\! \left(x , y\right)
F_{101}\! \left(x , y\right) = F_{102}\! \left(x , y\right)
F_{102}\! \left(x , y\right) = 2 F_{10}\! \left(x \right)+F_{103}\! \left(x , y\right)+F_{138}\! \left(x , y\right)+F_{160}\! \left(x , y\right)
F_{103}\! \left(x , y\right) = F_{104}\! \left(x , y\right)
F_{104}\! \left(x , y\right) = F_{105}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{105}\! \left(x , y\right) = F_{10}\! \left(x \right)+F_{106}\! \left(x , y\right)+F_{108}\! \left(x , y\right)+F_{109}\! \left(x , y\right)+F_{137}\! \left(x , y\right)
F_{106}\! \left(x , y\right) = F_{107}\! \left(x , y\right)
F_{107}\! \left(x , y\right) = F_{102}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{108}\! \left(x , y\right) = F_{104}\! \left(x , y\right)
F_{109}\! \left(x , y\right) = F_{110}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{110}\! \left(x , y\right) = F_{111}\! \left(x \right)+F_{113}\! \left(x , y\right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)+F_{7}\! \left(x \right)
F_{112}\! \left(x \right) = F_{73}\! \left(x \right)
F_{113}\! \left(x , y\right) = F_{10}\! \left(x \right)+F_{114}\! \left(x , y\right)+F_{117}\! \left(x , y\right)+F_{122}\! \left(x , y\right)+F_{124}\! \left(x , y\right)+F_{134}\! \left(x , y\right)
F_{114}\! \left(x , y\right) = F_{115}\! \left(x , y\right)
F_{115}\! \left(x , y\right) = F_{116}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{116}\! \left(x , y\right) = -\frac{y \left(F_{32}\! \left(x , 1\right)-F_{32}\! \left(x , y\right)\right)}{-1+y}
F_{117}\! \left(x , y\right) = F_{118}\! \left(x , y\right)
F_{70}\! \left(x , y\right) = F_{10}\! \left(x \right)+F_{118}\! \left(x , y\right)+F_{119}\! \left(x , y\right)+F_{121}\! \left(x , y\right)+F_{88}\! \left(x , y\right)
F_{119}\! \left(x , y\right) = F_{120}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{120}\! \left(x , y\right) = -\frac{y \left(F_{70}\! \left(x , 1\right)-F_{70}\! \left(x , y\right)\right)}{-1+y}
F_{121}\! \left(x , y\right) = F_{120}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{122}\! \left(x , y\right) = F_{123}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{123}\! \left(x , y\right) = -\frac{y \left(F_{113}\! \left(x , 1\right)-F_{113}\! \left(x , y\right)\right)}{-1+y}
F_{124}\! \left(x , y\right) = F_{125}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{125}\! \left(x , y\right) = -\frac{y \left(F_{126}\! \left(x , 1\right)-F_{126}\! \left(x , y\right)\right)}{-1+y}
F_{126}\! \left(x , y\right) = F_{127}\! \left(x , y\right)+F_{29}\! \left(x , y\right)
F_{127}\! \left(x , y\right) = F_{128}\! \left(x , y\right)
F_{70}\! \left(x , y\right) = F_{128}\! \left(x , y\right)+F_{129}\! \left(x , y\right)
F_{129}\! \left(x , y\right) = F_{10}\! \left(x \right)+F_{130}\! \left(x , y\right)+F_{131}\! \left(x , y\right)+F_{132}\! \left(x , y\right)
F_{130}\! \left(x , y\right) = F_{29}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{131}\! \left(x , y\right) = F_{6}\! \left(x \right) F_{70}\! \left(x , y\right)
F_{132}\! \left(x , y\right) = F_{133}\! \left(x , y\right) F_{58}\! \left(x , y\right)
F_{133}\! \left(x , y\right) = F_{129}\! \left(x , y\right)+F_{8}\! \left(x \right)
F_{134}\! \left(x , y\right) = F_{135}\! \left(x , y\right) F_{58}\! \left(x , y\right)
F_{135}\! \left(x , y\right) = F_{136}\! \left(x , y\right)+F_{48}\! \left(x , y\right)
F_{136}\! \left(x , y\right) = F_{74}\! \left(x , y\right)
F_{137}\! \left(x , y\right) = F_{105}\! \left(x , y\right) F_{58}\! \left(x , y\right)
F_{34}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{138}\! \left(x , y\right)+F_{139}\! \left(x \right)+F_{141}\! \left(x \right)+F_{143}\! \left(x , y\right)+F_{156}\! \left(x , y\right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right) F_{6}\! \left(x \right)
F_{140}\! \left(x \right) = F_{36}\! \left(x , 1\right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right) F_{6}\! \left(x \right)
F_{142}\! \left(x \right) = F_{44}\! \left(x , 1\right)
F_{143}\! \left(x , y\right) = F_{144}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{144}\! \left(x , y\right) = F_{145}\! \left(x \right)+F_{155}\! \left(x , y\right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)+F_{154}\! \left(x \right)
F_{146}\! \left(x \right) = F_{1}\! \left(x \right)+F_{147}\! \left(x \right)+F_{151}\! \left(x \right)+F_{153}\! \left(x \right)+F_{67}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right) F_{6}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x , 1\right)
F_{149}\! \left(x , y\right) = F_{150}\! \left(x , y\right)+F_{51}\! \left(x , y\right)
F_{150}\! \left(x , y\right) = F_{74}\! \left(x , y\right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right) F_{6}\! \left(x \right)
F_{152}\! \left(x \right) = F_{18}\! \left(x \right)+F_{7}\! \left(x \right)
F_{153}\! \left(x \right) = F_{145}\! \left(x \right) F_{6}\! \left(x \right)
F_{154}\! \left(x \right) = F_{12}\! \left(x \right)
F_{155}\! \left(x , y\right) = F_{29}\! \left(x , y\right)
F_{156}\! \left(x , y\right) = F_{157}\! \left(x , y\right) F_{58}\! \left(x , y\right)
F_{157}\! \left(x , y\right) = F_{158}\! \left(x \right)+F_{32}\! \left(x , y\right)
F_{158}\! \left(x \right) = F_{15}\! \left(x \right)+F_{159}\! \left(x \right)
F_{159}\! \left(x \right) = F_{0}\! \left(x \right)+F_{22}\! \left(x \right)
F_{160}\! \left(x , y\right) = F_{102}\! \left(x , y\right) F_{58}\! \left(x , y\right)
F_{161}\! \left(x , y\right) = F_{162}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{162}\! \left(x , y\right) = -\frac{-F_{163}\! \left(x , y\right) y +F_{163}\! \left(x , 1\right)}{-1+y}
F_{164}\! \left(x , y\right) = F_{163}\! \left(x , y\right)+F_{166}\! \left(x , y\right)
F_{164}\! \left(x , y\right) = F_{165}\! \left(x , y\right)+F_{27}\! \left(x , y\right)
F_{165}\! \left(x , y\right) = F_{65}\! \left(x \right)
F_{166}\! \left(x , y\right) = F_{105}\! \left(x , y\right)
F_{167}\! \left(x , y\right) = F_{168}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{168}\! \left(x , y\right) = -\frac{-F_{169}\! \left(x , y\right) y +F_{169}\! \left(x , 1\right)}{-1+y}
F_{98}\! \left(x , y\right) = F_{169}\! \left(x , y\right)+F_{170}\! \left(x , y\right)
F_{170}\! \left(x , y\right) = F_{171}\! \left(x , y\right)
F_{74}\! \left(x , y\right) = F_{171}\! \left(x , y\right)+F_{172}\! \left(x , y\right)
F_{105}\! \left(x , y\right) = F_{172}\! \left(x , y\right)+F_{173}\! \left(x , y\right)
F_{173}\! \left(x , y\right) = F_{10}\! \left(x \right)+F_{104}\! \left(x , y\right)+F_{174}\! \left(x , y\right)+F_{175}\! \left(x , y\right)
F_{174}\! \left(x , y\right) = F_{48}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{175}\! \left(x , y\right) = F_{173}\! \left(x , y\right) F_{58}\! \left(x , y\right)
F_{176}\! \left(x , y\right) = F_{58}\! \left(x , y\right) F_{98}\! \left(x , y\right)
F_{177}\! \left(x , y\right) = F_{178}\! \left(x , y\right)
F_{178}\! \left(x , y\right) = F_{179}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{180}\! \left(x , y\right) = F_{179}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{180}\! \left(x , y\right) = F_{181}\! \left(x , y\right)
F_{181}\! \left(x , y\right) = F_{128}\! \left(x , y\right)+F_{182}\! \left(x \right)
F_{182}\! \left(x \right) = F_{10}\! \left(x \right)+F_{183}\! \left(x \right)+F_{194}\! \left(x \right)+F_{195}\! \left(x \right)
F_{183}\! \left(x \right) = F_{184}\! \left(x \right) F_{6}\! \left(x \right)
F_{184}\! \left(x \right) = F_{10}\! \left(x \right)+F_{185}\! \left(x \right)+F_{188}\! \left(x \right)+F_{191}\! \left(x \right)+F_{193}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right)
F_{186}\! \left(x \right) = F_{187}\! \left(x \right) F_{6}\! \left(x \right)
F_{187}\! \left(x \right) = F_{32}\! \left(x , 1\right)
F_{188}\! \left(x \right) = F_{189}\! \left(x \right)
F_{189}\! \left(x \right) = F_{190}\! \left(x \right) F_{6}\! \left(x \right)
F_{190}\! \left(x \right) = F_{29}\! \left(x , 1\right)
F_{191}\! \left(x \right) = F_{192}\! \left(x \right) F_{6}\! \left(x \right)
F_{192}\! \left(x \right) = F_{113}\! \left(x , 1\right)
F_{193}\! \left(x \right) = F_{148}\! \left(x \right) F_{6}\! \left(x \right)
F_{194}\! \left(x \right) = F_{6}\! \left(x \right) F_{69}\! \left(x \right)
F_{195}\! \left(x \right) = F_{6}\! \left(x \right) F_{68}\! \left(x \right)
F_{196}\! \left(x , y\right) = F_{197}\! \left(x , y\right)
F_{197}\! \left(x , y\right) = F_{198}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{199}\! \left(x , y\right) = F_{198}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{199}\! \left(x , y\right) = F_{200}\! \left(x , y\right)
F_{149}\! \left(x , y\right) = F_{200}\! \left(x , y\right)+F_{98}\! \left(x , y\right)
F_{201}\! \left(x , y\right) = F_{202}\! \left(x , y\right)
F_{202}\! \left(x , y\right) = F_{20}\! \left(x \right) F_{203}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{203}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{204}\! \left(x , y\right)+F_{206}\! \left(x , y\right)
F_{204}\! \left(x , y\right) = F_{205}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{205}\! \left(x , y\right) = -\frac{-y F_{203}\! \left(x , y\right)+F_{203}\! \left(x , 1\right)}{-1+y}
F_{206}\! \left(x , y\right) = F_{203}\! \left(x , y\right) F_{58}\! \left(x , y\right)
F_{207}\! \left(x , y\right) = F_{58}\! \left(x , y\right) F_{97}\! \left(x , y\right)
F_{208}\! \left(x , y\right) = F_{209}\! \left(x , y\right)
F_{209}\! \left(x , y\right) = F_{10}\! \left(x \right)+F_{210}\! \left(x , y\right)+F_{211}\! \left(x , y\right)+F_{42}\! \left(x , y\right)
F_{210}\! \left(x , y\right) = F_{45}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{211}\! \left(x , y\right) = F_{209}\! \left(x , y\right) F_{58}\! \left(x , y\right)
F_{212}\! \left(x , y\right) = F_{45}\! \left(x , y\right)
F_{213}\! \left(x , y\right) = F_{50}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{214}\! \left(x , y\right) = F_{36}\! \left(x , y\right) F_{58}\! \left(x , y\right)
F_{215}\! \left(x \right) = F_{158}\! \left(x \right)+F_{216}\! \left(x \right)
F_{216}\! \left(x \right) = F_{66}\! \left(x \right)
F_{217}\! \left(x , y\right) = F_{130}\! \left(x , y\right)
F_{218}\! \left(x , y\right) = F_{113}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{219}\! \left(x , y\right) = F_{27}\! \left(x , y\right) F_{58}\! \left(x , y\right)
F_{220}\! \left(x \right) = F_{6}\! \left(x \right) F_{68}\! \left(x \right)
F_{221}\! \left(x \right) = F_{222}\! \left(x \right) F_{6}\! \left(x \right)
F_{222}\! \left(x \right) = F_{51}\! \left(x , 1\right)
F_{223}\! \left(x \right) = F_{224}\! \left(x \right) F_{6}\! \left(x \right)
F_{224}\! \left(x \right) = F_{16}\! \left(x \right)+F_{22}\! \left(x \right)
F_{225}\! \left(x \right) = F_{203}\! \left(x , 1\right)
F_{226}\! \left(x \right) = F_{11}\! \left(x \right)
F_{227}\! \left(x \right) = F_{111}\! \left(x \right) F_{6}\! \left(x \right)
F_{228}\! \left(x \right) = F_{6}\! \left(x \right) F_{7}\! \left(x \right)
F_{229}\! \left(x \right) = F_{28}\! \left(x \right) F_{6}\! \left(x \right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_4(x)*F_6(x))
Eq(F_4(x), F_1(x) + F_229(x) + F_5(x))
Eq(F_5(x), F_6(x)*F_7(x))
Eq(F_6(x), x)
Eq(F_7(x), F_182(x) + F_8(x))
Eq(F_8(x), F_0(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_11(x) + F_228(x))
Eq(F_10(x), 0)
Eq(F_11(x), F_12(x)*F_6(x))
Eq(F_12(x), F_10(x) + F_13(x) + F_226(x) + F_227(x))
Eq(F_13(x), F_14(x))
Eq(F_14(x), F_15(x)*F_6(x))
Eq(F_15(x), F_16(x) + F_9(x))
Eq(F_16(x), F_17(x))
Eq(F_17(x), F_18(x)*F_6(x))
Eq(F_18(x), F_19(x))
Eq(F_19(x), F_20(x)*F_225(x)*F_6(x))
Eq(F_20(x), F_21(x)/F_6(x))
Eq(F_21(x), F_22(x))
Eq(F_22(x), F_10(x) + F_223(x) + F_23(x))
Eq(F_23(x), F_24(x)*F_6(x))
Eq(F_24(x), F_1(x) + F_220(x) + F_221(x) + F_25(x))
Eq(F_25(x), F_26(x, 1))
Eq(F_26(x, k_0), F_27(x, k_0)*F_6(x))
Eq(F_27(x, k_0), F_28(x) + F_29(x, k_0))
Eq(F_28(x), F_12(x) + F_4(x))
Eq(F_29(x, k_0), F_10(x) + F_217(x, k_0) + F_218(x, k_0) + F_219(x, k_0) + F_30(x, k_0))
Eq(F_30(x, k_0), F_31(x, k_0))
Eq(F_31(x, k_0), F_32(x, k_0)*F_6(x))
Eq(F_32(x, k_0), F_33(x, k_0))
Eq(F_34(x, k_0), F_215(x) + F_33(x, k_0))
Eq(F_35(x, k_0), F_34(x, k_0)*F_6(x))
Eq(F_36(x, k_0), F_1(x) + F_213(x, k_0) + F_214(x, k_0) + F_35(x, k_0) + F_46(x, k_0))
Eq(F_36(x, k_0), F_212(x, k_0) + F_37(x, k_0))
Eq(F_38(x, k_0), F_208(x, k_0) + F_37(x, k_0))
Eq(F_38(x, k_0), F_39(x, k_0) + F_95(x, k_0))
Eq(F_39(x, k_0), F_1(x) + 2*F_40(x, k_0) + F_94(x, k_0))
Eq(F_40(x, k_0), F_41(x, k_0)*F_6(x))
Eq(F_41(x, k_0), F_1(x) + F_42(x, k_0) + F_43(x, k_0) + F_93(x, k_0))
Eq(F_42(x, k_0), F_36(x, k_0)*F_6(x))
Eq(F_43(x, k_0), F_44(x, k_0)*F_6(x))
Eq(F_44(x, k_0), F_41(x, k_0) + F_45(x, k_0))
Eq(F_45(x, k_0), F_10(x) + F_46(x, k_0) + F_89(x, k_0) + F_90(x, k_0) + F_92(x, k_0))
Eq(F_46(x, k_0), F_47(x, k_0)*F_6(x))
Eq(F_47(x, k_0), (k_0*F_48(x, k_0) - F_48(x, 1))/(k_0 - 1))
Eq(F_48(x, k_0), F_1(x) + F_49(x, k_0) + F_54(x, k_0) + F_87(x, k_0) + F_88(x, k_0))
Eq(F_49(x, k_0), F_50(x, k_0)*F_6(x))
Eq(F_50(x, k_0), F_51(x, k_0) + F_59(x, k_0))
Eq(F_51(x, k_0), F_1(x) + F_52(x, k_0) + F_54(x, k_0) + F_55(x, k_0) + F_57(x, k_0))
Eq(F_52(x, k_0), F_53(x, k_0)*F_6(x))
Eq(F_53(x, k_0), (k_0*F_27(x, k_0) - F_27(x, 1))/(k_0 - 1))
Eq(F_54(x, k_0), F_47(x, k_0)*F_6(x))
Eq(F_55(x, k_0), F_56(x, k_0)*F_6(x))
Eq(F_56(x, k_0), (k_0*F_51(x, k_0) - F_51(x, 1))/(k_0 - 1))
Eq(F_57(x, k_0), F_51(x, k_0)*F_58(x, k_0))
Eq(F_58(x, k_0), k_0*x)
Eq(F_59(x, k_0), F_60(x, k_0))
Eq(F_60(x, k_0), F_10(x) + F_61(x, k_0) + F_63(x, k_0) + F_81(x, k_0) + F_83(x, k_0) + F_86(x, k_0))
Eq(F_61(x, k_0), F_6(x)*F_62(x, k_0))
Eq(F_62(x, k_0), (k_0*F_34(x, k_0) - F_34(x, 1))/(k_0 - 1))
Eq(F_63(x, k_0), F_64(x))
Eq(F_64(x), F_6(x)*F_65(x))
Eq(F_65(x), F_66(x))
Eq(F_66(x), F_10(x) + F_67(x) + F_71(x) + F_79(x))
Eq(F_67(x), F_6(x)*F_68(x))
Eq(F_68(x), F_69(x) + F_7(x))
Eq(F_69(x), F_70(x, 1))
Eq(F_48(x, k_0), F_7(x) + F_70(x, k_0))
Eq(F_71(x), F_6(x)*F_72(x))
Eq(F_72(x), F_73(x))
Eq(F_73(x), F_74(x, 1))
Eq(F_74(x, k_0), F_10(x) + F_75(x, k_0) + F_76(x, k_0) + F_77(x, k_0) + F_78(x, k_0))
Eq(F_75(x, k_0), F_34(x, k_0)*F_6(x))
Eq(F_76(x, k_0), F_64(x))
Eq(F_77(x, k_0), F_6(x)*F_60(x, k_0))
Eq(F_78(x, k_0), F_58(x, k_0)*F_74(x, k_0))
Eq(F_79(x), F_80(x))
Eq(F_80(x), F_6(x)*F_66(x))
Eq(F_81(x, k_0), F_6(x)*F_82(x, k_0))
Eq(F_82(x, k_0), (k_0*F_60(x, k_0) - F_60(x, 1))/(k_0 - 1))
Eq(F_83(x, k_0), F_84(x, k_0))
Eq(F_84(x, k_0), F_6(x)*F_85(x, k_0))
Eq(F_85(x, k_0), (k_0*F_74(x, k_0) - F_74(x, 1))/(k_0 - 1))
Eq(F_86(x, k_0), F_78(x, k_0))
Eq(F_87(x, k_0), F_47(x, k_0)*F_6(x))
Eq(F_88(x, k_0), F_48(x, k_0)*F_58(x, k_0))
Eq(F_89(x, k_0), F_6(x)*F_60(x, k_0))
Eq(F_90(x, k_0), F_91(x))
Eq(F_91(x), F_6(x)*F_65(x))
Eq(F_92(x, k_0), F_45(x, k_0)*F_58(x, k_0))
Eq(F_93(x, k_0), F_41(x, k_0)*F_58(x, k_0))
Eq(F_94(x, k_0), F_39(x, k_0)*F_58(x, k_0))
Eq(F_95(x, k_0), F_96(x, k_0))
Eq(F_96(x, k_0), F_6(x)*F_97(x, k_0))
Eq(F_97(x, k_0), F_177(x, k_0) + F_196(x, k_0) + F_201(x, k_0) + F_207(x, k_0) + F_98(x, k_0))
Eq(F_98(x, k_0), F_1(x) + F_161(x, k_0) + F_167(x, k_0) + F_176(x, k_0) + F_99(x, k_0))
Eq(F_99(x, k_0), F_100(x, k_0)*F_6(x))
Eq(F_34(x, k_0), F_100(x, k_0) + F_101(x, k_0))
Eq(F_101(x, k_0), F_102(x, k_0))
Eq(F_102(x, k_0), 2*F_10(x) + F_103(x, k_0) + F_138(x, k_0) + F_160(x, k_0))
Eq(F_103(x, k_0), F_104(x, k_0))
Eq(F_104(x, k_0), F_105(x, k_0)*F_6(x))
Eq(F_105(x, k_0), F_10(x) + F_106(x, k_0) + F_108(x, k_0) + F_109(x, k_0) + F_137(x, k_0))
Eq(F_106(x, k_0), F_107(x, k_0))
Eq(F_107(x, k_0), F_102(x, k_0)*F_6(x))
Eq(F_108(x, k_0), F_104(x, k_0))
Eq(F_109(x, k_0), F_110(x, k_0)*F_6(x))
Eq(F_110(x, k_0), F_111(x) + F_113(x, k_0))
Eq(F_111(x), F_112(x) + F_7(x))
Eq(F_112(x), F_73(x))
Eq(F_113(x, k_0), F_10(x) + F_114(x, k_0) + F_117(x, k_0) + F_122(x, k_0) + F_124(x, k_0) + F_134(x, k_0))
Eq(F_114(x, k_0), F_115(x, k_0))
Eq(F_115(x, k_0), F_116(x, k_0)*F_6(x))
Eq(F_116(x, k_0), -F_32(x, 1) + (k_0*F_32(x, k_0) - F_32(x, 1))/(k_0 - 1))
Eq(F_117(x, k_0), F_118(x, k_0))
Eq(F_70(x, k_0), F_10(x) + F_118(x, k_0) + F_119(x, k_0) + F_121(x, k_0) + F_88(x, k_0))
Eq(F_119(x, k_0), F_120(x, k_0)*F_6(x))
Eq(F_120(x, k_0), -F_70(x, 1) + (k_0*F_70(x, k_0) - F_70(x, 1))/(k_0 - 1))
Eq(F_121(x, k_0), F_120(x, k_0)*F_6(x))
Eq(F_122(x, k_0), F_123(x, k_0)*F_6(x))
Eq(F_123(x, k_0), -F_113(x, 1) + (k_0*F_113(x, k_0) - F_113(x, 1))/(k_0 - 1))
Eq(F_124(x, k_0), F_125(x, k_0)*F_6(x))
Eq(F_125(x, k_0), -F_126(x, 1) + (k_0*F_126(x, k_0) - F_126(x, 1))/(k_0 - 1))
Eq(F_126(x, k_0), F_127(x, k_0) + F_29(x, k_0))
Eq(F_127(x, k_0), F_128(x, k_0))
Eq(F_70(x, k_0), F_128(x, k_0) + F_129(x, k_0))
Eq(F_129(x, k_0), F_10(x) + F_130(x, k_0) + F_131(x, k_0) + F_132(x, k_0))
Eq(F_130(x, k_0), F_29(x, k_0)*F_6(x))
Eq(F_131(x, k_0), F_6(x)*F_70(x, k_0))
Eq(F_132(x, k_0), F_133(x, k_0)*F_58(x, k_0))
Eq(F_133(x, k_0), F_129(x, k_0) + F_8(x))
Eq(F_134(x, k_0), F_135(x, k_0)*F_58(x, k_0))
Eq(F_135(x, k_0), F_136(x, k_0) + F_48(x, k_0))
Eq(F_136(x, k_0), F_74(x, k_0))
Eq(F_137(x, k_0), F_105(x, k_0)*F_58(x, k_0))
Eq(F_34(x, k_0), F_1(x) + F_138(x, k_0) + F_139(x) + F_141(x) + F_143(x, k_0) + F_156(x, k_0))
Eq(F_139(x), F_140(x)*F_6(x))
Eq(F_140(x), F_36(x, 1))
Eq(F_141(x), F_142(x)*F_6(x))
Eq(F_142(x), F_44(x, 1))
Eq(F_143(x, k_0), F_144(x, k_0)*F_6(x))
Eq(F_144(x, k_0), F_145(x) + F_155(x, k_0))
Eq(F_145(x), F_146(x) + F_154(x))
Eq(F_146(x), F_1(x) + F_147(x) + F_151(x) + F_153(x) + F_67(x))
Eq(F_147(x), F_148(x)*F_6(x))
Eq(F_148(x), F_149(x, 1))
Eq(F_149(x, k_0), F_150(x, k_0) + F_51(x, k_0))
Eq(F_150(x, k_0), F_74(x, k_0))
Eq(F_151(x), F_152(x)*F_6(x))
Eq(F_152(x), F_18(x) + F_7(x))
Eq(F_153(x), F_145(x)*F_6(x))
Eq(F_154(x), F_12(x))
Eq(F_155(x, k_0), F_29(x, k_0))
Eq(F_156(x, k_0), F_157(x, k_0)*F_58(x, k_0))
Eq(F_157(x, k_0), F_158(x) + F_32(x, k_0))
Eq(F_158(x), F_15(x) + F_159(x))
Eq(F_159(x), F_0(x) + F_22(x))
Eq(F_160(x, k_0), F_102(x, k_0)*F_58(x, k_0))
Eq(F_161(x, k_0), F_162(x, k_0)*F_6(x))
Eq(F_162(x, k_0), (k_0*F_163(x, k_0) - F_163(x, 1))/(k_0 - 1))
Eq(F_164(x, k_0), F_163(x, k_0) + F_166(x, k_0))
Eq(F_164(x, k_0), F_165(x, k_0) + F_27(x, k_0))
Eq(F_165(x, k_0), F_65(x))
Eq(F_166(x, k_0), F_105(x, k_0))
Eq(F_167(x, k_0), F_168(x, k_0)*F_6(x))
Eq(F_168(x, k_0), (k_0*F_169(x, k_0) - F_169(x, 1))/(k_0 - 1))
Eq(F_98(x, k_0), F_169(x, k_0) + F_170(x, k_0))
Eq(F_170(x, k_0), F_171(x, k_0))
Eq(F_74(x, k_0), F_171(x, k_0) + F_172(x, k_0))
Eq(F_105(x, k_0), F_172(x, k_0) + F_173(x, k_0))
Eq(F_173(x, k_0), F_10(x) + F_104(x, k_0) + F_174(x, k_0) + F_175(x, k_0))
Eq(F_174(x, k_0), F_48(x, k_0)*F_6(x))
Eq(F_175(x, k_0), F_173(x, k_0)*F_58(x, k_0))
Eq(F_176(x, k_0), F_58(x, k_0)*F_98(x, k_0))
Eq(F_177(x, k_0), F_178(x, k_0))
Eq(F_178(x, k_0), F_179(x, k_0)*F_6(x))
Eq(F_180(x, k_0), F_179(x, k_0)*F_6(x))
Eq(F_180(x, k_0), F_181(x, k_0))
Eq(F_181(x, k_0), F_128(x, k_0) + F_182(x))
Eq(F_182(x), F_10(x) + F_183(x) + F_194(x) + F_195(x))
Eq(F_183(x), F_184(x)*F_6(x))
Eq(F_184(x), F_10(x) + F_185(x) + F_188(x) + F_191(x) + F_193(x))
Eq(F_185(x), F_186(x))
Eq(F_186(x), F_187(x)*F_6(x))
Eq(F_187(x), F_32(x, 1))
Eq(F_188(x), F_189(x))
Eq(F_189(x), F_190(x)*F_6(x))
Eq(F_190(x), F_29(x, 1))
Eq(F_191(x), F_192(x)*F_6(x))
Eq(F_192(x), F_113(x, 1))
Eq(F_193(x), F_148(x)*F_6(x))
Eq(F_194(x), F_6(x)*F_69(x))
Eq(F_195(x), F_6(x)*F_68(x))
Eq(F_196(x, k_0), F_197(x, k_0))
Eq(F_197(x, k_0), F_198(x, k_0)*F_6(x))
Eq(F_199(x, k_0), F_198(x, k_0)*F_6(x))
Eq(F_199(x, k_0), F_200(x, k_0))
Eq(F_149(x, k_0), F_200(x, k_0) + F_98(x, k_0))
Eq(F_201(x, k_0), F_202(x, k_0))
Eq(F_202(x, k_0), F_20(x)*F_203(x, k_0)*F_6(x))
Eq(F_203(x, k_0), F_1(x) + F_204(x, k_0) + F_206(x, k_0))
Eq(F_204(x, k_0), F_205(x, k_0)*F_6(x))
Eq(F_205(x, k_0), (k_0*F_203(x, k_0) - F_203(x, 1))/(k_0 - 1))
Eq(F_206(x, k_0), F_203(x, k_0)*F_58(x, k_0))
Eq(F_207(x, k_0), F_58(x, k_0)*F_97(x, k_0))
Eq(F_208(x, k_0), F_209(x, k_0))
Eq(F_209(x, k_0), F_10(x) + F_210(x, k_0) + F_211(x, k_0) + F_42(x, k_0))
Eq(F_210(x, k_0), F_45(x, k_0)*F_6(x))
Eq(F_211(x, k_0), F_209(x, k_0)*F_58(x, k_0))
Eq(F_212(x, k_0), F_45(x, k_0))
Eq(F_213(x, k_0), F_50(x, k_0)*F_6(x))
Eq(F_214(x, k_0), F_36(x, k_0)*F_58(x, k_0))
Eq(F_215(x), F_158(x) + F_216(x))
Eq(F_216(x), F_66(x))
Eq(F_217(x, k_0), F_130(x, k_0))
Eq(F_218(x, k_0), F_113(x, k_0)*F_6(x))
Eq(F_219(x, k_0), F_27(x, k_0)*F_58(x, k_0))
Eq(F_220(x), F_6(x)*F_68(x))
Eq(F_221(x), F_222(x)*F_6(x))
Eq(F_222(x), F_51(x, 1))
Eq(F_223(x), F_224(x)*F_6(x))
Eq(F_224(x), F_16(x) + F_22(x))
Eq(F_225(x), F_203(x, 1))
Eq(F_226(x), F_11(x))
Eq(F_227(x), F_111(x)*F_6(x))
Eq(F_228(x), F_6(x)*F_7(x))
Eq(F_229(x), F_28(x)*F_6(x))
Pack JSON:
{"name": "point_and_col_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": "RowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": false, "place_col": true}], [{"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, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 4, 0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 4, 0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 4, 1, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 3], [0, 3]]}, {"patt": [1, 2, 0], "pos": [[0, 2], [0, 2], [0, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 2], [0, 2], [0, 2]]}, {"patt": [1, 2, 0], "pos": [[0, 2], [0, 3], [0, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 2], [0, 3], [0, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 2], [0, 3], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 3], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 3], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 2], [0, 0], [0, 2], [0, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 2], [0, 0], [0, 3], [0, 0]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 1], [0, 2], [0, 1], [0, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 1], [0, 3], [0, 1], [0, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 2], [0, 2], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 2], [0, 3], [0, 0], [0, 0]]}, {"patt": [2, 3, 1, 0], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 3, 1, 0], "pos": [[0, 1], [0, 2], [0, 1], [0, 1]]}, {"patt": [2, 3, 1, 0], "pos": [[0, 1], [0, 3], [0, 1], [0, 1]]}, {"patt": [2, 3, 1, 0], "pos": [[0, 2], [0, 2], [0, 0], [0, 0]]}, {"patt": [2, 3, 1, 0], "pos": [[0, 2], [0, 3], [0, 0], [0, 0]]}, {"patt": [3, 0, 1, 2], "pos": [[0, 1], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 1, 2], "pos": [[0, 2], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 1, 2], "pos": [[0, 3], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 1], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 2], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 3], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 1, 0, 2], "pos": [[0, 1], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 1, 0, 2], "pos": [[0, 2], [0, 0], 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{"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 1], [0, 0], [0, 3], [0, 1], [0, 0]]}, {"patt": [3, 4, 0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 4, 0, 1, 2], "pos": [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {"patt": [3, 4, 0, 1, 2], "pos": [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {"patt": [3, 4, 0, 1, 2], "pos": [[0, 1], [0, 3], [0, 0], [0, 0], [0, 1]]}, {"patt": [3, 4, 0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 4, 0, 2, 1], "pos": [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {"patt": [3, 4, 0, 2, 1], "pos": [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}, {"patt": [3, 4, 0, 2, 1], "pos": [[0, 1], [0, 3], [0, 0], [0, 1], [0, 0]]}, {"patt": [3, 4, 1, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 4, 1, 0, 2], "pos": [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {"patt": [3, 4, 1, 0, 2], "pos": [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {"patt": [3, 4, 1, 0, 2], "pos": [[0, 1], [0, 3], [0, 0], [0, 0], [0, 1]]}], "requirements": [], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 3]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 2, 0], "pos": [[0, 2], [0, 2], [0, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 2], [0, 0], [0, 2], [0, 0]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 1], [0, 2], [0, 1], [0, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 2], [0, 2], [0, 0], [0, 0]]}, {"patt": [2, 3, 1, 0], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 3, 1, 0], "pos": [[0, 1], [0, 2], [0, 1], [0, 1]]}, {"patt": [2, 3, 1, 0], "pos": [[0, 2], [0, 2], [0, 0], [0, 0]]}, {"patt": [3, 0, 1, 2], "pos": [[0, 1], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 1, 2], "pos": [[0, 2], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 1], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 2], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 1, 0, 2], "pos": [[0, 1], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 1, 0, 2], "pos": [[0, 2], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 1], [0, 2], [0, 1], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {"patt": [3, 4, 0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 4, 0, 1, 2], "pos": [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {"patt": [3, 4, 0, 1, 2], "pos": [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {"patt": [3, 4, 0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 4, 0, 2, 1], "pos": [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {"patt": [3, 4, 0, 2, 1], "pos": [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}, {"patt": [3, 4, 1, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 4, 1, 0, 2], "pos": [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {"patt": [3, 4, 1, 0, 2], "pos": [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 3], [0, 3]]}, {"patt": [1, 2, 0], "pos": [[0, 2], [0, 2], [0, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 2], [0, 2], [0, 2]]}, {"patt": [1, 2, 0], "pos": [[0, 2], [0, 3], [0, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 2], [0, 3], [0, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 2], [0, 3], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], 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