01234_01243_01324_10234_10243_10324_12034_12043_12403

Counting sequence:
1, 1, 2, 6, 24, 111, 549, 2805, 14580, 76542, 404352, 2145141, 11414631, 60875181, 325209388, 1739681871, 9316306194, 49934125440, 267832991171, 1437445894463, 7718598721562, 41464055098573, 222825284860613, 1197827830724952, 6440849988511467, 34641401740887548, 186353806874831617, 1002676036031837218, 5395766915808131803, 29040752062123184855, 156321145334805158619, 841543893944578592933, 4530850758517083898324, 24396195482938305724543, 131371089637336596225514, 707472099922340717848964, 3810197893423877365100260, 20521622091768652329544231, 110534875170951050281633919, 595399228693834173909252518, 3207277705062548855654362347, 17277562607933165253071445069, 93077441220901459271335893477, 501442387871164178262718809727, 2701537710664773097813967803672, 14555035561580179743879023737085, 78419979483719403361886420701399, 422523106490858910937570970533245, 2276583831934069178639606261525444, 12266636851846502774905838894227358, 66096026595778033052076777600571351, 356149670229946721323280891334517713, 1919095178923469682876191417813270786, 10341099815624581828691603314742295306, 55724055137283854947743317947470714721, 300278352745721489063479615475830614406, 1618118274046551964199011164678954787070, 8719690261868322713736165331047354346464, 46988986101003532489368396128944476469623, 253218248203732376315259274990829778445066, 1364575440441465513014585034289617268702042, 7353658608019611224728085033637303412381411, 39628943908127824268610698997996327449005537, 213562222893271052269827587123083132968120885, 1150903897053265850625037521925428604230206554, 6202348910201390396897664791337012757161320597, 33425326409867526294213707137082009059170148214, 180134662165160483253087792478056878821470639740, 970780270857330340633266015003392313992343187911, 5231743887674364940225763716043820876894160109097, 28195108070870605206041770092140278263321032728332, 151950693705734261793396736649192742130361116507170, 818904271617379711146434526906701782537690942830469, 4413315850202335902796615511286327428275963125570198, 23784729300488364814246535363261160753127458307045085, 128183657091504396149776359136148306366209389400424917, 690825345979095471090905788552689703737042745510748881, 3723102159903237341842733658615198462991743553955003309, 20065161398573096222746817772363115277630867892673240299, 108138741345532432325959936220831975203969865443349086172, 582801755316873060353531586433224097185589303650132084847, 3140951445014683032134109412363912707627435847181847035089, 16927872238935391640626787527082558941624351526181896938025, 91231381444336551220062288505238370796621949435977005743360, 491684833633325845635124496811222788861346376821013984597421, 2649903224104619697295131331189568291718130985735653828941562, 14281499684503097394356197917549617330145973149776725247131636, 76969413662488143146379391752513998138881297689941799395338954, 414823230618829285445526085544482577283830767179668067974655488, 2235673894681706295893886042406687913385416410292993022621603864, 12049091616573125483939120173445981564236828338749934649195987148, 64938251918452413637086740588319416943673425301018814467034923605, 349983274488440166599492540559961761158865580007302296468070068407, 1886228798568222862808821114799503747627957488884889720857210703256, 10165805910842354516999270013420606265801201916491986107492571294082, 54788523365445564561066418498184314417897714906321711972795929601692, 295282491550441306929462227196041534508417195559071429572491898859138, 1591424712330171030570421234675224405788875448608345005620809988119499, 8576987570108083609749132451680768175400783844871828139751787522183983, 46225724745926883968786322490308393337348144699685211137272262093527180, 249133957393923768423956690142450644619590846719218794797683326555691026

Specification 1
Strategy pack name: point_and_row_placements_tracked_fusion_tracked_component_fusion_symmetries
Tree: http://www.permpal.com/tree/25738/
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[15,x]*F[4,x]
F[4,x] = F[1,x]+F[23,x]+F[5,x]
F[5,x] = F[15,x]*F[6,x]
F[6,x] = F[1,x]+F[7,x]+F[76,x]+F[81,x]
F[7,x] = F[15,x]*F[8,x]
F[8,x] = F[9,x,1]
F[9,x,k[0]] = (F[10,x,k[0]]*k[0]-F[10,x,1])/(-1+k[0])
F[10,x,k[0]] = F[11,x,k[0]]+F[4,x]
F[11,x,k[0]] = F[12,x]+F[13,x,k[0]]+F[16,x,k[0]]+F[80,x,k[0]]
F[12,x] = 0
F[13,x,k[0]] = F[14,x,k[0]]*F[15,x]
F[14,x,k[0]] = -k[0]*(F[11,x,1]-F[11,x,k[0]])/(-1+k[0])
F[15,x] = x
F[16,x,k[0]] = F[15,x]*F[17,x,k[0]]
F[17,x,k[0]] = k[0]*F[18,x]
F[18,x] = 1/F[15,x]*F[19,x]
F[19,x] = -F[12,x]-F[73,x]-F[76,x]+F[20,x]
F[20,x] = 1/F[15,x]*F[21,x]
F[21,x] = -F[12,x]-F[23,x]+F[22,x]
F[22,x] = -F[0,x]+F[4,x]
F[23,x] = F[15,x]*F[24,x]
F[24,x] = F[1,x]+F[25,x]+F[68,x]+F[7,x]
F[25,x] = F[15,x]*F[26,x]
F[26,x] = F[27,x,1]
F[27,x,k[0]] = (F[28,x,k[0]]*k[0]-F[28,x,1])/(-1+k[0])
F[28,x,k[0]] = F[29,x,k[0]]+F[4,x]
F[29,x,k[0]] = F[30,x,k[0]]
F[30,x,k[0]] = F[31,x,k[0]]*F[40,x,k[0]]
F[31,x,k[0]] = F[32,x,k[0]]+F[61,x,k[0]]
F[32,x,k[0]] = F[28,x,k[0]]+F[33,x,k[0]]+F[56,x,k[0]]
F[33,x,k[0]] = F[34,x,k[0]]
F[34,x,k[0]] = F[15,x]*F[35,x,k[0]]
F[35,x,k[0]] = F[36,x,k[0]]+F[49,x]
F[36,x,k[0]] = 1/(-1+k[0])*(F[37,x,k[0]]*k[0]-F[37,x,1])
F[38,x,k[0]] = F[37,x,k[0]]+F[41,x,k[0]]
F[39,x,k[0]] = F[38,x,k[0]]*F[40,x,k[0]]
F[39,x,k[0]] = F[11,x,k[0]]
F[40,x,k[0]] = k[0]*x
F[41,x,k[0]] = k[0]*F[42,x,k[0]]
F[42,x,k[0]] = F[43,x,k[0]]+F[45,x,k[0]]
F[43,x,k[0]] = F[44,x,k[0]]
F[44,x,k[0]] = F[15,x]*F[37,x,k[0]]
F[45,x,k[0]] = F[15,x]*F[46,x,k[0]]
F[46,x,k[0]] = 1/(-1+k[0])*(F[47,x,k[0]]*k[0]-F[47,x,1])
F[47,x,k[0]] = F[43,x,k[0]]+F[48,x,k[0]]
F[48,x,k[0]] = F[15,x]*F[46,x,k[0]]
F[49,x] = F[50,x,1]
F[50,x,k[0]] = k[0]*F[51,x,k[0]]
F[51,x,k[0]] = 2*F[12,x]+F[52,x,k[0]]+F[55,x,k[0]]
F[52,x,k[0]] = F[53,x,k[0]]
F[53,x,k[0]] = F[15,x]*F[54,x,k[0]]
F[54,x,k[0]] = 1/(-1+k[0])*(F[51,x,k[0]]*k[0]-F[51,x,1])
F[55,x,k[0]] = F[15,x]*F[37,x,k[0]]
F[56,x,k[0]] = F[57,x,k[0]]
F[57,x,k[0]] = F[15,x]*F[58,x,k[0]]
F[58,x,k[0]] = F[59,x,k[0]]+F[60,x]
F[59,x,k[0]] = 1/(-1+k[0])*(F[32,x,k[0]]*k[0]-F[32,x,1])
F[60,x] = F[61,x,1]
F[61,x,k[0]] = k[0]*F[62,x,k[0]]
F[62,x,k[0]] = F[12,x]+F[63,x,k[0]]+F[64,x,k[0]]+F[67,x,k[0]]
F[63,x,k[0]] = F[53,x,k[0]]
F[64,x,k[0]] = F[65,x,k[0]]
F[65,x,k[0]] = F[15,x]*F[66,x,k[0]]
F[66,x,k[0]] = 1/(-1+k[0])*(F[62,x,k[0]]*k[0]-F[62,x,1])
F[67,x,k[0]] = F[15,x]*F[32,x,k[0]]
F[68,x] = F[15,x]*F[69,x]
F[69,x] = F[24,x]+F[70,x]
F[70,x] = F[71,x]
F[71,x] = F[15,x]*F[72,x]
F[72,x] = F[32,x,1]
F[73,x] = F[15,x]*F[74,x]
F[74,x] = F[75,x,1]
F[75,x,k[0]] = (F[11,x,k[0]]-F[11,x,1])/(-1+k[0])
F[76,x] = F[15,x]*F[77,x]
F[77,x] = F[78,x,1]
F[78,x,k[0]] = F[10,x,k[0]]+F[79,x,k[0]]
F[79,x,k[0]] = k[0]*F[43,x,k[0]]
F[80,x,k[0]] = F[40,x,k[0]]*F[78,x,k[0]]
F[81,x] = F[15,x]*F[82,x]
F[82,x] = F[1,x]+F[104,x]+F[158,x]+F[161,x]+F[83,x]
F[83,x] = F[15,x]*F[84,x]
F[84,x] = F[85,x,1]
F[85,x,k[0]] = F[1,x]+F[103,x,k[0]]+F[86,x,k[0]]+F[88,x,k[0]]+F[93,x,k[0]]+F[99,x,k[0]]
F[86,x,k[0]] = F[15,x]*F[87,x,k[0]]
F[87,x,k[0]] = 1/(-1+k[0])*(F[85,x,k[0]]*k[0]-F[85,x,1])
F[88,x,k[0]] = F[15,x]*F[89,x,k[0]]
F[89,x,k[0]] = F[90,x]+F[92,x,k[0]]
F[90,x] = F[82,x]+F[91,x]
F[91,x] = F[18,x]
F[92,x,k[0]] = F[17,x,k[0]]
F[93,x,k[0]] = F[40,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[96,x,k[0]]+F[97,x,k[0]]
F[96,x,k[0]] = F[10,x,k[0]]+F[43,x,k[0]]
F[97,x,k[0]] = F[79,x,k[0]]
F[98,x,k[0]] = F[43,x,k[0]]
F[99,x,k[0]] = F[100,x,k[0]]*F[15,x]
F[100,x,k[0]] = F[101,x,k[0]]+F[102,x,k[0]]
F[101,x,k[0]] = (F[96,x,k[0]]*k[0]-F[96,x,1])/(-1+k[0])
F[102,x,k[0]] = F[43,x,k[0]]
F[103,x,k[0]] = F[10,x,k[0]]*F[15,x]
F[104,x] = F[105,x]*F[15,x]
F[105,x] = F[106,x,1]
F[106,x,k[0]] = (F[107,x,k[0]]*k[0]-F[107,x,1])/(-1+k[0])
F[107,x,k[0]] = F[108,x]+F[117,x,k[0]]
F[108,x] = F[109,x]+F[4,x]
F[109,x] = F[110,x]
F[110,x] = F[111,x]*F[15,x]
F[111,x] = -F[113,x]+F[112,x]
F[112,x] = F[37,x,1]
F[113,x] = F[114,x,1]
F[115,x,k[0]] = -k[0]*(F[114,x,1]-F[114,x,k[0]])/(-1+k[0])
F[116,x,k[0]] = F[112,x]+F[115,x,k[0]]
F[116,x,k[0]] = 1/(-1+k[0])*(F[37,x,k[0]]*k[0]-F[37,x,1])
F[117,x,k[0]] = F[118,x,k[0]]
F[118,x,k[0]] = F[119,x,k[0]]*F[40,x,k[0]]
F[119,x,k[0]] = F[120,x,k[0]]+F[31,x,k[0]]
F[120,x,k[0]] = F[121,x]
F[121,x] = -F[157,x]+F[122,x]
F[122,x] = 1/F[15,x]*F[123,x]
F[123,x] = F[124,x]
F[124,x] = -F[108,x]-F[141,x]-F[147,x]+F[125,x]
F[125,x] = 1/F[15,x]*F[126,x]
F[126,x] = -F[131,x]-F[136,x]+F[127,x]
F[127,x] = 1/F[15,x]*F[128,x]
F[128,x] = F[129,x]
F[129,x] = -F[130,x]+F[4,x]
F[130,x] = F[130,x]^4*(2*x^2+8*x-1)+(x^3+4*x^2-46*x+5)*F[130,x]^3+F[130,x]^2*(3*x^3-21*x^2+94*x-9)+(x^3+12*x^2-82*x+8)*F[130,x]+3*x^2+26*x-2
F[131,x] = F[1,x]+F[132,x]+F[5,x]
F[132,x] = F[133,x]*F[15,x]
F[133,x] = F[1,x]+F[132,x]+F[134,x]+F[135,x]
F[134,x] = F[15,x]*F[77,x]
F[135,x] = F[131,x]*F[15,x]
F[136,x] = F[137,x]*F[15,x]
F[137,x] = 1/F[15,x]*F[138,x]
F[138,x] = F[139,x]
F[139,x] = 1/F[15,x]*F[140,x]
F[140,x] = -F[12,x]-F[5,x]+F[129,x]
F[141,x] = F[142,x]
F[142,x] = F[143,x]*F[15,x]
F[143,x] = F[144,x,1]
F[145,x,k[0]] = F[144,x,k[0]]*F[15,x]
F[145,x,k[0]] = F[146,x,k[0]]
F[146,x,k[0]] = (F[11,x,k[0]]-F[11,x,1])/(-1+k[0])
F[147,x] = F[148,x]
F[148,x] = F[149,x]*F[15,x]
F[149,x] = 1/F[15,x]*F[150,x]
F[150,x] = F[151,x]
F[151,x] = 1/F[15,x]*F[152,x]
F[152,x] = -F[12,x]-F[155,x]-F[81,x]+F[153,x]
F[153,x] = F[154,x]
F[154,x] = F[125,x]*F[15,x]
F[155,x] = F[15,x]*F[156,x]
F[156,x] = F[74,x]
F[157,x] = F[31,x,1]
F[158,x] = F[15,x]*F[159,x]
F[159,x] = F[160,x]+F[69,x]
F[160,x] = F[109,x]
F[161,x] = F[15,x]*F[4,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_{15}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{1}\! \left(x \right)+F_{23}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{15}\! \left(x \right) F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{1}\! \left(x \right)+F_{7}\! \left(x \right)+F_{76}\! \left(x \right)+F_{81}\! \left(x \right)
F_{7}\! \left(x \right) = F_{15}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{9}\! \left(x , 1\right)
F_{9}\! \left(x , y\right) = -\frac{-F_{10}\! \left(x , y\right) y +F_{10}\! \left(x , 1\right)}{-1+y}
F_{10}\! \left(x , y\right) = F_{11}\! \left(x , y\right)+F_{4}\! \left(x \right)
F_{11}\! \left(x , y\right) = F_{12}\! \left(x \right)+F_{13}\! \left(x , y\right)+F_{16}\! \left(x , y\right)+F_{80}\! \left(x , y\right)
F_{12}\! \left(x \right) = 0
F_{13}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{15}\! \left(x \right)
F_{14}\! \left(x , y\right) = -\frac{y \left(F_{11}\! \left(x , 1\right)-F_{11}\! \left(x , y\right)\right)}{-1+y}
F_{15}\! \left(x \right) = x
F_{16}\! \left(x , y\right) = F_{15}\! \left(x \right) F_{17}\! \left(x , y\right)
F_{17}\! \left(x , y\right) = y F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = \frac{F_{19}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{19}\! \left(x \right) = -F_{12}\! \left(x \right)-F_{73}\! \left(x \right)-F_{76}\! \left(x \right)+F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = \frac{F_{21}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{21}\! \left(x \right) = -F_{12}\! \left(x \right)-F_{23}\! \left(x \right)+F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{4}\! \left(x \right)
F_{23}\! \left(x \right) = F_{15}\! \left(x \right) F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{1}\! \left(x \right)+F_{25}\! \left(x \right)+F_{68}\! \left(x \right)+F_{7}\! \left(x \right)
F_{25}\! \left(x \right) = F_{15}\! \left(x \right) F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x , 1\right)
F_{27}\! \left(x , y\right) = -\frac{-F_{28}\! \left(x , y\right) y +F_{28}\! \left(x , 1\right)}{-1+y}
F_{28}\! \left(x , y\right) = F_{29}\! \left(x , y\right)+F_{4}\! \left(x \right)
F_{29}\! \left(x , y\right) = F_{30}\! \left(x , y\right)
F_{30}\! \left(x , y\right) = F_{31}\! \left(x , y\right) F_{40}\! \left(x , y\right)
F_{31}\! \left(x , y\right) = F_{32}\! \left(x , y\right)+F_{61}\! \left(x , y\right)
F_{32}\! \left(x , y\right) = F_{28}\! \left(x , y\right)+F_{33}\! \left(x , y\right)+F_{56}\! \left(x , y\right)
F_{33}\! \left(x , y\right) = F_{34}\! \left(x , y\right)
F_{34}\! \left(x , y\right) = F_{15}\! \left(x \right) F_{35}\! \left(x , y\right)
F_{35}\! \left(x , y\right) = F_{36}\! \left(x , y\right)+F_{49}\! \left(x \right)
F_{36}\! \left(x , y\right) = -\frac{-y F_{37}\! \left(x , y\right)+F_{37}\! \left(x , 1\right)}{-1+y}
F_{38}\! \left(x , y\right) = F_{37}\! \left(x , y\right)+F_{41}\! \left(x , y\right)
F_{39}\! \left(x , y\right) = F_{38}\! \left(x , y\right) F_{40}\! \left(x , y\right)
F_{39}\! \left(x , y\right) = F_{11}\! \left(x , y\right)
F_{40}\! \left(x , y\right) = y x
F_{41}\! \left(x , y\right) = y F_{42}\! \left(x , y\right)
F_{42}\! \left(x , y\right) = F_{43}\! \left(x , y\right)+F_{45}\! \left(x , y\right)
F_{43}\! \left(x , y\right) = F_{44}\! \left(x , y\right)
F_{44}\! \left(x , y\right) = F_{15}\! \left(x \right) F_{37}\! \left(x , y\right)
F_{45}\! \left(x , y\right) = F_{15}\! \left(x \right) F_{46}\! \left(x , y\right)
F_{46}\! \left(x , y\right) = -\frac{-F_{47}\! \left(x , y\right) y +F_{47}\! \left(x , 1\right)}{-1+y}
F_{47}\! \left(x , y\right) = F_{43}\! \left(x , y\right)+F_{48}\! \left(x , y\right)
F_{48}\! \left(x , y\right) = F_{15}\! \left(x \right) F_{46}\! \left(x , y\right)
F_{49}\! \left(x \right) = F_{50}\! \left(x , 1\right)
F_{50}\! \left(x , y\right) = y F_{51}\! \left(x , y\right)
F_{51}\! \left(x , y\right) = 2 F_{12}\! \left(x \right)+F_{52}\! \left(x , y\right)+F_{55}\! \left(x , y\right)
F_{52}\! \left(x , y\right) = F_{53}\! \left(x , y\right)
F_{53}\! \left(x , y\right) = F_{15}\! \left(x \right) F_{54}\! \left(x , y\right)
F_{54}\! \left(x , y\right) = -\frac{-y F_{51}\! \left(x , y\right)+F_{51}\! \left(x , 1\right)}{-1+y}
F_{55}\! \left(x , y\right) = F_{15}\! \left(x \right) F_{37}\! \left(x , y\right)
F_{56}\! \left(x , y\right) = F_{57}\! \left(x , y\right)
F_{57}\! \left(x , y\right) = F_{15}\! \left(x \right) F_{58}\! \left(x , y\right)
F_{58}\! \left(x , y\right) = F_{59}\! \left(x , y\right)+F_{60}\! \left(x \right)
F_{59}\! \left(x , y\right) = -\frac{-F_{32}\! \left(x , y\right) y +F_{32}\! \left(x , 1\right)}{-1+y}
F_{60}\! \left(x \right) = F_{61}\! \left(x , 1\right)
F_{61}\! \left(x , y\right) = y F_{62}\! \left(x , y\right)
F_{62}\! \left(x , y\right) = F_{12}\! \left(x \right)+F_{63}\! \left(x , y\right)+F_{64}\! \left(x , y\right)+F_{67}\! \left(x , y\right)
F_{63}\! \left(x , y\right) = F_{53}\! \left(x , y\right)
F_{64}\! \left(x , y\right) = F_{65}\! \left(x , y\right)
F_{65}\! \left(x , y\right) = F_{15}\! \left(x \right) F_{66}\! \left(x , y\right)
F_{66}\! \left(x , y\right) = -\frac{-y F_{62}\! \left(x , y\right)+F_{62}\! \left(x , 1\right)}{-1+y}
F_{67}\! \left(x , y\right) = F_{15}\! \left(x \right) F_{32}\! \left(x , y\right)
F_{68}\! \left(x \right) = F_{15}\! \left(x \right) F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{24}\! \left(x \right)+F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{15}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{32}\! \left(x , 1\right)
F_{73}\! \left(x \right) = F_{15}\! \left(x \right) F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x , 1\right)
F_{75}\! \left(x , y\right) = -\frac{F_{11}\! \left(x , 1\right)-F_{11}\! \left(x , y\right)}{-1+y}
F_{76}\! \left(x \right) = F_{15}\! \left(x \right) F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x , 1\right)
F_{78}\! \left(x , y\right) = F_{10}\! \left(x , y\right)+F_{79}\! \left(x , y\right)
F_{79}\! \left(x , y\right) = y F_{43}\! \left(x , y\right)
F_{80}\! \left(x , y\right) = F_{40}\! \left(x , y\right) F_{78}\! \left(x , y\right)
F_{81}\! \left(x \right) = F_{15}\! \left(x \right) F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{1}\! \left(x \right)+F_{104}\! \left(x \right)+F_{158}\! \left(x \right)+F_{161}\! \left(x \right)+F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{15}\! \left(x \right) F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x , 1\right)
F_{85}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{103}\! \left(x , y\right)+F_{86}\! \left(x , y\right)+F_{88}\! \left(x , y\right)+F_{93}\! \left(x , y\right)+F_{99}\! \left(x , y\right)
F_{86}\! \left(x , y\right) = F_{15}\! \left(x \right) F_{87}\! \left(x , y\right)
F_{87}\! \left(x , y\right) = -\frac{-F_{85}\! \left(x , y\right) y +F_{85}\! \left(x , 1\right)}{-1+y}
F_{88}\! \left(x , y\right) = F_{15}\! \left(x \right) F_{89}\! \left(x , y\right)
F_{89}\! \left(x , y\right) = F_{90}\! \left(x \right)+F_{92}\! \left(x , y\right)
F_{90}\! \left(x \right) = F_{82}\! \left(x \right)+F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{18}\! \left(x \right)
F_{92}\! \left(x , y\right) = F_{17}\! \left(x , y\right)
F_{93}\! \left(x , y\right) = F_{40}\! \left(x , y\right) F_{94}\! \left(x , y\right)
F_{94}\! \left(x , y\right) = F_{95}\! \left(x , y\right)+F_{98}\! \left(x , y\right)
F_{95}\! \left(x , y\right) = F_{96}\! \left(x , y\right)+F_{97}\! \left(x , y\right)
F_{96}\! \left(x , y\right) = F_{10}\! \left(x , y\right)+F_{43}\! \left(x , y\right)
F_{97}\! \left(x , y\right) = F_{79}\! \left(x , y\right)
F_{98}\! \left(x , y\right) = F_{43}\! \left(x , y\right)
F_{99}\! \left(x , y\right) = F_{100}\! \left(x , y\right) F_{15}\! \left(x \right)
F_{100}\! \left(x , y\right) = F_{101}\! \left(x , y\right)+F_{102}\! \left(x , y\right)
F_{101}\! \left(x , y\right) = -\frac{-F_{96}\! \left(x , y\right) y +F_{96}\! \left(x , 1\right)}{-1+y}
F_{102}\! \left(x , y\right) = F_{43}\! \left(x , y\right)
F_{103}\! \left(x , y\right) = F_{10}\! \left(x , y\right) F_{15}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right) F_{15}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x , 1\right)
F_{106}\! \left(x , y\right) = -\frac{-F_{107}\! \left(x , y\right) y +F_{107}\! \left(x , 1\right)}{-1+y}
F_{107}\! \left(x , y\right) = F_{108}\! \left(x \right)+F_{117}\! \left(x , y\right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)+F_{4}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right) F_{15}\! \left(x \right)
F_{111}\! \left(x \right) = -F_{113}\! \left(x \right)+F_{112}\! \left(x \right)
F_{112}\! \left(x \right) = F_{37}\! \left(x , 1\right)
F_{113}\! \left(x \right) = F_{114}\! \left(x , 1\right)
F_{115}\! \left(x , y\right) = -\frac{y \left(F_{114}\! \left(x , 1\right)-F_{114}\! \left(x , y\right)\right)}{-1+y}
F_{116}\! \left(x , y\right) = F_{112}\! \left(x \right)+F_{115}\! \left(x , y\right)
F_{116}\! \left(x , y\right) = -\frac{-y F_{37}\! \left(x , y\right)+F_{37}\! \left(x , 1\right)}{-1+y}
F_{117}\! \left(x , y\right) = F_{118}\! \left(x , y\right)
F_{118}\! \left(x , y\right) = F_{119}\! \left(x , y\right) F_{40}\! \left(x , y\right)
F_{119}\! \left(x , y\right) = F_{120}\! \left(x , y\right)+F_{31}\! \left(x , y\right)
F_{120}\! \left(x , y\right) = F_{121}\! \left(x \right)
F_{121}\! \left(x \right) = -F_{157}\! \left(x \right)+F_{122}\! \left(x \right)
F_{122}\! \left(x \right) = \frac{F_{123}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)
F_{124}\! \left(x \right) = -F_{108}\! \left(x \right)-F_{141}\! \left(x \right)-F_{147}\! \left(x \right)+F_{125}\! \left(x \right)
F_{125}\! \left(x \right) = \frac{F_{126}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{126}\! \left(x \right) = -F_{131}\! \left(x \right)-F_{136}\! \left(x \right)+F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = \frac{F_{128}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)
F_{129}\! \left(x \right) = -F_{130}\! \left(x \right)+F_{4}\! \left(x \right)
F_{130}\! \left(x \right) = x^{3} F_{130} \left(x \right)^{3}+2 x^{2} F_{130} \left(x \right)^{4}+3 x^{3} F_{130} \left(x \right)^{2}+4 x^{2} F_{130} \left(x \right)^{3}+8 x F_{130} \left(x \right)^{4}+x^{3} F_{130}\! \left(x \right)-21 x^{2} F_{130} \left(x \right)^{2}-46 x F_{130} \left(x \right)^{3}-F_{130} \left(x \right)^{4}+12 x^{2} F_{130}\! \left(x \right)+94 x F_{130} \left(x \right)^{2}+5 F_{130} \left(x \right)^{3}+3 x^{2}-82 x F_{130}\! \left(x \right)-9 F_{130} \left(x \right)^{2}+26 x +8 F_{130}\! \left(x \right)-2
F_{131}\! \left(x \right) = F_{1}\! \left(x \right)+F_{132}\! \left(x \right)+F_{5}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right) F_{15}\! \left(x \right)
F_{133}\! \left(x \right) = F_{1}\! \left(x \right)+F_{132}\! \left(x \right)+F_{134}\! \left(x \right)+F_{135}\! \left(x \right)
F_{134}\! \left(x \right) = F_{15}\! \left(x \right) F_{77}\! \left(x \right)
F_{135}\! \left(x \right) = F_{131}\! \left(x \right) F_{15}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right) F_{15}\! \left(x \right)
F_{137}\! \left(x \right) = \frac{F_{138}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = \frac{F_{140}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{140}\! \left(x \right) = -F_{12}\! \left(x \right)-F_{5}\! \left(x \right)+F_{129}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right) F_{15}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x , 1\right)
F_{145}\! \left(x , y\right) = F_{144}\! \left(x , y\right) F_{15}\! \left(x \right)
F_{145}\! \left(x , y\right) = F_{146}\! \left(x , y\right)
F_{146}\! \left(x , y\right) = -\frac{F_{11}\! \left(x , 1\right)-F_{11}\! \left(x , y\right)}{-1+y}
F_{147}\! \left(x \right) = F_{148}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right) F_{15}\! \left(x \right)
F_{149}\! \left(x \right) = \frac{F_{150}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = \frac{F_{152}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{152}\! \left(x \right) = -F_{12}\! \left(x \right)-F_{155}\! \left(x \right)-F_{81}\! \left(x \right)+F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right)
F_{154}\! \left(x \right) = F_{125}\! \left(x \right) F_{15}\! \left(x \right)
F_{155}\! \left(x \right) = F_{15}\! \left(x \right) F_{156}\! \left(x \right)
F_{156}\! \left(x \right) = F_{74}\! \left(x \right)
F_{157}\! \left(x \right) = F_{31}\! \left(x , 1\right)
F_{158}\! \left(x \right) = F_{15}\! \left(x \right) F_{159}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right)+F_{69}\! \left(x \right)
F_{160}\! \left(x \right) = F_{109}\! \left(x \right)
F_{161}\! \left(x \right) = F_{15}\! \left(x \right) F_{4}\! \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_15(x)*F_4(x))
Eq(F_4(x), F_1(x) + F_23(x) + F_5(x))
Eq(F_5(x), F_15(x)*F_6(x))
Eq(F_6(x), F_1(x) + F_7(x) + F_76(x) + F_81(x))
Eq(F_7(x), F_15(x)*F_8(x))
Eq(F_8(x), F_9(x, 1))
Eq(F_9(x, k_0), (-k_0*F_10(x, k_0) + F_10(x, 1))/(1 - k_0))
Eq(F_10(x, k_0), F_11(x, k_0) + F_4(x))
Eq(F_11(x, k_0), F_12(x) + F_13(x, k_0) + F_16(x, k_0) + F_80(x, k_0))
Eq(F_12(x), 0)
Eq(F_13(x, k_0), F_14(x, k_0)*F_15(x))
Eq(F_14(x, k_0), -F_11(x, 1) + (k_0*F_11(x, k_0) - F_11(x, 1))/(k_0 - 1))
Eq(F_15(x), x)
Eq(F_16(x, k_0), F_15(x)*F_17(x, k_0))
Eq(F_17(x, k_0), k_0*F_18(x))
Eq(F_18(x), F_19(x)/F_15(x))
Eq(F_19(x), -F_12(x) + F_20(x) - F_73(x) - F_76(x))
Eq(F_20(x), F_21(x)/F_15(x))
Eq(F_21(x), -F_12(x) + F_22(x) - F_23(x))
Eq(F_22(x), -F_0(x) + F_4(x))
Eq(F_23(x), F_15(x)*F_24(x))
Eq(F_24(x), F_1(x) + F_25(x) + F_68(x) + F_7(x))
Eq(F_25(x), F_15(x)*F_26(x))
Eq(F_26(x), F_27(x, 1))
Eq(F_27(x, k_0), (-k_0*F_28(x, k_0) + F_28(x, 1))/(1 - k_0))
Eq(F_28(x, k_0), F_29(x, k_0) + F_4(x))
Eq(F_29(x, k_0), F_30(x, k_0))
Eq(F_30(x, k_0), F_31(x, k_0)*F_40(x, k_0))
Eq(F_31(x, k_0), F_32(x, k_0) + F_61(x, k_0))
Eq(F_32(x, k_0), F_28(x, k_0) + F_33(x, k_0) + F_56(x, k_0))
Eq(F_33(x, k_0), F_34(x, k_0))
Eq(F_34(x, k_0), F_15(x)*F_35(x, k_0))
Eq(F_35(x, k_0), F_36(x, k_0) + F_49(x))
Eq(F_36(x, k_0), (k_0*F_37(x, k_0) - F_37(x, 1))/(k_0 - 1))
Eq(F_38(x, k_0), F_37(x, k_0) + F_41(x, k_0))
Eq(F_39(x, k_0), F_38(x, k_0)*F_40(x, k_0))
Eq(F_39(x, k_0), F_11(x, k_0))
Eq(F_40(x, k_0), k_0*x)
Eq(F_41(x, k_0), k_0*F_42(x, k_0))
Eq(F_42(x, k_0), F_43(x, k_0) + F_45(x, k_0))
Eq(F_43(x, k_0), F_44(x, k_0))
Eq(F_44(x, k_0), F_15(x)*F_37(x, k_0))
Eq(F_45(x, k_0), F_15(x)*F_46(x, k_0))
Eq(F_46(x, k_0), (k_0*F_47(x, k_0) - F_47(x, 1))/(k_0 - 1))
Eq(F_47(x, k_0), F_43(x, k_0) + F_48(x, k_0))
Eq(F_48(x, k_0), F_15(x)*F_46(x, k_0))
Eq(F_49(x), F_50(x, 1))
Eq(F_50(x, k_0), k_0*F_51(x, k_0))
Eq(F_51(x, k_0), 2*F_12(x) + F_52(x, k_0) + F_55(x, k_0))
Eq(F_52(x, k_0), F_53(x, k_0))
Eq(F_53(x, k_0), F_15(x)*F_54(x, k_0))
Eq(F_54(x, k_0), (k_0*F_51(x, k_0) - F_51(x, 1))/(k_0 - 1))
Eq(F_55(x, k_0), F_15(x)*F_37(x, k_0))
Eq(F_56(x, k_0), F_57(x, k_0))
Eq(F_57(x, k_0), F_15(x)*F_58(x, k_0))
Eq(F_58(x, k_0), F_59(x, k_0) + F_60(x))
Eq(F_59(x, k_0), (k_0*F_32(x, k_0) - F_32(x, 1))/(k_0 - 1))
Eq(F_60(x), F_61(x, 1))
Eq(F_61(x, k_0), k_0*F_62(x, k_0))
Eq(F_62(x, k_0), F_12(x) + F_63(x, k_0) + F_64(x, k_0) + F_67(x, k_0))
Eq(F_63(x, k_0), F_53(x, k_0))
Eq(F_64(x, k_0), F_65(x, k_0))
Eq(F_65(x, k_0), F_15(x)*F_66(x, k_0))
Eq(F_66(x, k_0), (k_0*F_62(x, k_0) - F_62(x, 1))/(k_0 - 1))
Eq(F_67(x, k_0), F_15(x)*F_32(x, k_0))
Eq(F_68(x), F_15(x)*F_69(x))
Eq(F_69(x), F_24(x) + F_70(x))
Eq(F_70(x), F_71(x))
Eq(F_71(x), F_15(x)*F_72(x))
Eq(F_72(x), F_32(x, 1))
Eq(F_73(x), F_15(x)*F_74(x))
Eq(F_74(x), F_75(x, 1))
Eq(F_75(x, k_0), -F_11(x, k_0) + (-k_0*F_11(x, k_0) + F_11(x, 1))/(1 - k_0))
Eq(F_76(x), F_15(x)*F_77(x))
Eq(F_77(x), F_78(x, 1))
Eq(F_78(x, k_0), F_10(x, k_0) + F_79(x, k_0))
Eq(F_79(x, k_0), k_0*F_43(x, k_0))
Eq(F_80(x, k_0), F_40(x, k_0)*F_78(x, k_0))
Eq(F_81(x), F_15(x)*F_82(x))
Eq(F_82(x), F_1(x) + F_104(x) + F_158(x) + F_161(x) + F_83(x))
Eq(F_83(x), F_15(x)*F_84(x))
Eq(F_84(x), F_85(x, 1))
Eq(F_85(x, k_0), F_1(x) + F_103(x, k_0) + F_86(x, k_0) + F_88(x, k_0) + F_93(x, k_0) + F_99(x, k_0))
Eq(F_86(x, k_0), F_15(x)*F_87(x, k_0))
Eq(F_87(x, k_0), (k_0*F_85(x, k_0) - F_85(x, 1))/(k_0 - 1))
Eq(F_88(x, k_0), F_15(x)*F_89(x, k_0))
Eq(F_89(x, k_0), F_90(x) + F_92(x, k_0))
Eq(F_90(x), F_82(x) + F_91(x))
Eq(F_91(x), F_18(x))
Eq(F_92(x, k_0), F_17(x, k_0))
Eq(F_93(x, k_0), F_40(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_96(x, k_0) + F_97(x, k_0))
Eq(F_96(x, k_0), F_10(x, k_0) + F_43(x, k_0))
Eq(F_97(x, k_0), F_79(x, k_0))
Eq(F_98(x, k_0), F_43(x, k_0))
Eq(F_99(x, k_0), F_100(x, k_0)*F_15(x))
Eq(F_100(x, k_0), F_101(x, k_0) + F_102(x, k_0))
Eq(F_101(x, k_0), (-k_0*F_96(x, k_0) + F_96(x, 1))/(1 - k_0))
Eq(F_102(x, k_0), F_43(x, k_0))
Eq(F_103(x, k_0), F_10(x, k_0)*F_15(x))
Eq(F_104(x), F_105(x)*F_15(x))
Eq(F_105(x), F_106(x, 1))
Eq(F_106(x, k_0), (-k_0*F_107(x, k_0) + F_107(x, 1))/(1 - k_0))
Eq(F_107(x, k_0), F_108(x) + F_117(x, k_0))
Eq(F_108(x), F_109(x) + F_4(x))
Eq(F_109(x), F_110(x))
Eq(F_110(x), F_111(x)*F_15(x))
Eq(F_111(x), F_112(x) - F_113(x))
Eq(F_112(x), F_37(x, 1))
Eq(F_113(x), F_114(x, 1))
Eq(F_115(x, k_0), -F_114(x, 1) + (-k_0*F_114(x, k_0) + F_114(x, 1))/(1 - k_0))
Eq(F_116(x, k_0), F_112(x) + F_115(x, k_0))
Eq(F_116(x, k_0), (-k_0*F_37(x, k_0) + F_37(x, 1))/(1 - k_0))
Eq(F_117(x, k_0), F_118(x, k_0))
Eq(F_118(x, k_0), F_119(x, k_0)*F_40(x, k_0))
Eq(F_119(x, k_0), F_120(x, k_0) + F_31(x, k_0))
Eq(F_120(x, k_0), F_121(x))
Eq(F_121(x), F_122(x) - F_157(x))
Eq(F_122(x), F_123(x)/F_15(x))
Eq(F_123(x), F_124(x))
Eq(F_124(x), -F_108(x) + F_125(x) - F_141(x) - F_147(x))
Eq(F_125(x), F_126(x)/F_15(x))
Eq(F_126(x), F_127(x) - F_131(x) - F_136(x))
Eq(F_127(x), F_128(x)/F_15(x))
Eq(F_128(x), F_129(x))
Eq(F_129(x), -F_130(x) + F_4(x))
Eq(F_130(x), 3*x**2 + 26*x + (x - 5)*(x**2 + 9*x - 1)*F_130(x)**3 + (2*x**2 + 8*x - 1)*F_130(x)**4 + (x**3 + 12*x**2 - 82*x + 8)*F_130(x) + (3*x**3 - 21*x**2 + 94*x - 9)*F_130(x)**2 - 2)
Eq(F_131(x), F_1(x) + F_132(x) + F_5(x))
Eq(F_132(x), F_133(x)*F_15(x))
Eq(F_133(x), F_1(x) + F_132(x) + F_134(x) + F_135(x))
Eq(F_134(x), F_15(x)*F_77(x))
Eq(F_135(x), F_131(x)*F_15(x))
Eq(F_136(x), F_137(x)*F_15(x))
Eq(F_137(x), F_138(x)/F_15(x))
Eq(F_138(x), F_139(x))
Eq(F_139(x), F_140(x)/F_15(x))
Eq(F_140(x), -F_12(x) + F_129(x) - F_5(x))
Eq(F_141(x), F_142(x))
Eq(F_142(x), F_143(x)*F_15(x))
Eq(F_143(x), F_144(x, 1))
Eq(F_145(x, k_0), F_144(x, k_0)*F_15(x))
Eq(F_145(x, k_0), F_146(x, k_0))
Eq(F_146(x, k_0), -F_11(x, k_0) + (k_0*F_11(x, k_0) - F_11(x, 1))/(k_0 - 1))
Eq(F_147(x), F_148(x))
Eq(F_148(x), F_149(x)*F_15(x))
Eq(F_149(x), F_150(x)/F_15(x))
Eq(F_150(x), F_151(x))
Eq(F_151(x), F_152(x)/F_15(x))
Eq(F_152(x), -F_12(x) + F_153(x) - F_155(x) - F_81(x))
Eq(F_153(x), F_154(x))
Eq(F_154(x), F_125(x)*F_15(x))
Eq(F_155(x), F_15(x)*F_156(x))
Eq(F_156(x), F_74(x))
Eq(F_157(x), F_31(x, 1))
Eq(F_158(x), F_15(x)*F_159(x))
Eq(F_159(x), F_160(x) + F_69(x))
Eq(F_160(x), F_109(x))
Eq(F_161(x), F_15(x)*F_4(x))
Pack JSON:
{"name": "point_and_row_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": true, "place_col": false}], [{"class_module": "tilings.strategies.requirement_placement", "strategy_class": "FusableRowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": true, "place_col": true}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": null}], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 3, 4], "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, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 0, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 0, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 4, 0, 3], "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, 2, 3], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [1, 2, 0, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 0, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 2, 0, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 4, 0, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [1, 2, 0, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 0, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 2, 0, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 4, 0, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementInsertionStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}]}}, "idx": 1}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [1, 2, 0, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 0, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 2, 0, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 4, 0, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 3, 4], "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, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 0, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 0, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 4, 0, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], 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