01234_01243_01342_10234_10243_10342_20134_20143_20341_30142_30241
Counting sequence:
1, 1, 2, 6, 24, 109, 522, 2551, 12554, 61872, 304700, 1498140, 7352556, 36020720, 176183388, 860522446, 4197888016, 20457446025, 99608314762, 484647161471, 2356649162514, 11453769985449, 55644738877378, 270242408980225, 1312087878228126, 6369042322046115, 30910434585096966, 149992883125630359, 727751184705996162, 3530627378096378743, 17127173662852449926, 83078956759417737247, 402970558130510569178, 1954505837057556806912, 9479503567561899981980, 45975038595756692445108, 222971246141887149469660, 1081353733060564944396788, 5244214146349435452522356, 25432438966361608897316258, 123336485721586695142854200, 598124929536459281075438510, 2900612168789173076838109632, 14066478096324259210172680128, 68214932211515919151375970788, 330805127724563155843904940654, 1604220217004858784621536472976, 7779558000465385360640248824132, 37726387131708536506872099621580, 182951090640494218608748827289000, 887205833140900160518194023763372, 4302426498653347686484845842980486, 20864226283716655251804236988910448, 101179124174302073275573674575560584, 490658578868013704325931904157868716, 2379401659882929583557604209051574114, 11538677435090679303558499135124577688, 55955687348101422493710388345745395644, 271351597494519983641177824739322280516, 1315892733659261212717033467222159001686, 6381291192775576928308916523716931765648, 30945436483637300816367925224848345329540, 150066807746027491497070302198555731002964, 727733993385916808120400291065440841729742, 3529073220622504229860847307854360293862768, 17113887340862318877958213764186660196731641, 82992082572564276075639199135007301038073034, 402461788378111968947139359747100520956547039, 1951698101847830961139553142956136171446924338, 9464564271801216089682566977416064305308252369, 45897455394239735398288792299390844705192411346, 222575107193866388185345031487904031070474649833, 1079355660453307906486616145467979650386389441870, 5234227024055544638157515586543714106144937929735, 25382858992109184070079958934693588916272379515358, 123091628935348791549825874696127464698893646100283, 596920509281436235775909965842577944357287302085418, 2894706143584569024524004190116943602756165679149371, 14037587133223923725746857744406031146976325284616446, 68073870998805144433120686877891517056729243876740923, 330117410533016091098029569941735242141060636467677778, 1600871276732693387606867805996184118518792878864205165, 7763264716759982523436504684170144196348306999662666018, 37647173734883283652238644140821162825069987392635472221, 182566193780571336405219425155396842234579971036550763902, 885336449297440735658328454453560299666334365801542476033, 4293350331798772436557057939713183508536778543372500597074, 20820171913283473418629476071228444914183119849823035338285, 100965335944919945845357906311396603689542662155469602699702, 489621272416952341715973123467886301729505099587761180381809, 2374369264393910946902215544438125270616163972744925368699850, 11514265662010041517397680357139105698620326472102501055288293, 55837276761138838376482119924164750814138755517681195124363614, 270777274721354500747281375171190991934580116515636479723325821, 1313107242402250980215504697380743964094000889724217231073053482, 6367781904646243580141481277247052628090474015723193094468806409, 30879919840489908807512194683260313625641615888251751337737702718, 149749074902077837359688996227694947526699478433887714620752651195, 726193123257227769396582340659382060570856671688120667070798357158, 3521600735284297082162388842736915667857884410016863326310476678175, 17077649652573076406476303904458275924232297621037375435388903399970
Specification 1
Strategy pack name: col_placements_tracked_fusion_tracked_component_fusion_symmetries
Tree: http://permpal.com/tree/25904/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[14,x]*F[3,x]
F[3,x] = F[1,x]+F[180,x]+F[4,x]
F[4,x] = F[14,x]*F[5,x]
F[5,x] = F[6,x,1]
F[7,x,k[0]] = (F[6,x,k[0]]*k[0]-F[6,x,1])/(-1+k[0])
F[7,x,k[0]] = F[1,x]+F[16,x,k[0]]+F[178,x,k[0]]+F[179,x,k[0]]+F[8,x,k[0]]
F[8,x,k[0]] = F[58,x,k[0]]*F[9,x,k[0]]
F[9,x,k[0]] = F[10,x,k[0]]+F[163,x,k[0]]
F[11,x,k[0]] = F[10,x,k[0]]+F[162,x,k[0]]
F[11,x,k[0]] = F[12,x]+F[148,x,k[0]]
F[12,x] = F[1,x]+F[112,x]+F[13,x]+F[15,x]+F[17,x]
F[13,x] = F[14,x]*F[3,x]
F[14,x] = x
F[15,x] = F[16,x,1]
F[16,x,k[0]] = F[11,x,k[0]]*F[14,x]
F[17,x] = F[14,x]*F[18,x]
F[18,x] = F[19,x,1]
F[19,x,k[0]] = F[1,x]+F[124,x,k[0]]+F[143,x,k[0]]+F[146,x,k[0]]+F[20,x,k[0]]+F[21,x,k[0]]
F[20,x,k[0]] = F[14,x]*F[6,x,k[0]]
F[21,x,k[0]] = F[14,x]*F[22,x,k[0]]
F[22,x,k[0]] = F[141,x,k[0]]+F[23,x,k[0]]
F[23,x,k[0]] = F[12,x]+F[24,x,k[0]]
F[24,x,k[0]] = F[25,x,k[0]]
F[25,x,k[0]] = F[26,x,k[0]]*F[58,x,k[0]]
F[26,x,k[0]] = F[27,x,k[0]]+F[31,x,k[0]]
F[28,x,k[0]] = F[14,x]*F[27,x,k[0]]
F[28,x,k[0]] = F[29,x,k[0]]
F[30,x,k[0]] = F[29,x,k[0]]+F[6,x,k[0]]
F[30,x,k[0]] = F[7,x,k[0]]
F[31,x,k[0]] = F[32,x,k[0]]
F[32,x,k[0]] = F[134,x,k[0]]+F[135,x,k[0]]+F[137,x,k[0]]+F[33,x,k[0]]
F[33,x,k[0]] = F[34,x,k[0]]
F[35,x,k[0]] = F[34,x,k[0]]+F[96,x,k[0]]
F[36,x,k[0]] = F[35,x,k[0]]*F[58,x,k[0]]
F[30,x,k[0]] = F[1,x]+F[36,x,k[0]]+F[37,x,k[0]]+F[38,x,k[0]]+F[41,x,k[0]]
F[37,x,k[0]] = F[14,x]*F[23,x,k[0]]
F[38,x,k[0]] = F[14,x]*F[39,x,k[0]]
F[39,x,k[0]] = F[40,x,k[0]]
F[40,x,k[0]] = (F[7,x,k[0]]*k[0]-F[7,x,1])/(-1+k[0])
F[41,x,k[0]] = F[14,x]*F[42,x,k[0]]
F[42,x,k[0]] = F[43,x,k[0]]
F[43,x,k[0]] = (F[44,x,k[0]]*k[0]-F[44,x,1])/(-1+k[0])
F[44,x,k[0]] = F[45,x,k[0]]
F[45,x,k[0]] = F[1,x]+F[41,x,k[0]]+F[46,x,k[0]]+F[50,x,k[0]]+F[90,x,k[0]]
F[46,x,k[0]] = F[14,x]*F[47,x,k[0]]
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[103,x,k[0]]+F[49,x]+F[50,x,k[0]]+F[90,x,k[0]]
F[49,x] = F[0,x]*F[14,x]
F[50,x,k[0]] = F[51,x,k[0]]*F[58,x,k[0]]
F[51,x,k[0]] = F[48,x,k[0]]+F[52,x,k[0]]
F[52,x,k[0]] = F[53,x,k[0]]
F[53,x,k[0]] = k[0]*F[54,x,k[0]]
F[54,x,k[0]] = F[49,x]+F[55,x]+F[56,x,k[0]]+F[59,x,k[0]]+F[67,x,k[0]]
F[55,x] = 0
F[56,x,k[0]] = F[57,x,k[0]]
F[57,x,k[0]] = F[54,x,k[0]]*F[58,x,k[0]]
F[58,x,k[0]] = k[0]*x
F[59,x,k[0]] = F[60,x]
F[60,x] = F[14,x]*F[61,x]
F[61,x] = F[62,x,1]
F[62,x,k[0]] = F[49,x]+F[55,x]+F[63,x,k[0]]+F[65,x,k[0]]+F[67,x,k[0]]
F[63,x,k[0]] = F[64,x,k[0]]
F[64,x,k[0]] = F[58,x,k[0]]*F[62,x,k[0]]
F[65,x,k[0]] = F[14,x]*F[66,x,k[0]]
F[66,x,k[0]] = (F[62,x,k[0]]*k[0]-F[62,x,1])/(-1+k[0])
F[67,x,k[0]] = F[14,x]*F[68,x,k[0]]
F[68,x,k[0]] = F[69,x]+F[86,x,k[0]]
F[69,x] = F[13,x]+F[55,x]+F[70,x]+F[73,x]+F[74,x]
F[70,x] = F[71,x]
F[71,x] = F[14,x]*F[72,x]
F[72,x] = F[54,x,1]
F[73,x] = F[60,x]
F[74,x] = F[14,x]*F[75,x]
F[75,x] = F[76,x,1]
F[76,x,k[0]] = F[55,x]+F[77,x,k[0]]+F[79,x,k[0]]+F[82,x,k[0]]+F[83,x,k[0]]+F[84,x,k[0]]
F[77,x,k[0]] = F[14,x]*F[78,x,k[0]]
F[44,x,k[0]] = (F[78,x,k[0]]*k[0]-F[78,x,1])/(-1+k[0])
F[79,x,k[0]] = F[80,x,k[0]]
F[80,x,k[0]] = F[14,x]*F[81,x,k[0]]
F[81,x,k[0]] = 1/(-1+k[0])*(F[54,x,k[0]]*k[0]-F[54,x,1])
F[82,x,k[0]] = F[57,x,k[0]]
F[83,x,k[0]] = F[60,x]
F[84,x,k[0]] = F[14,x]*F[85,x,k[0]]
F[85,x,k[0]] = (F[76,x,k[0]]*k[0]-F[76,x,1])/(-1+k[0])
F[86,x,k[0]] = F[58,x,k[0]]*F[87,x,k[0]]
F[87,x,k[0]] = (F[88,x,k[0]]*k[0]-F[88,x,1])/(-1+k[0])
F[88,x,k[0]] = F[54,x,k[0]]+F[89,x,k[0]]
F[89,x,k[0]] = F[14,x]*F[87,x,k[0]]
F[90,x,k[0]] = F[14,x]*F[91,x,k[0]]
F[91,x,k[0]] = F[133,x,k[0]]+F[92,x]
F[92,x] = F[93,x,1]
F[93,x,k[0]] = F[1,x]+F[101,x,k[0]]+F[103,x,k[0]]+F[49,x]+F[94,x,k[0]]
F[94,x,k[0]] = F[58,x,k[0]]*F[95,x,k[0]]
F[95,x,k[0]] = F[100,x,k[0]]+F[96,x,k[0]]
F[97,x,k[0]] = F[58,x,k[0]]*F[96,x,k[0]]
F[6,x,k[0]] = F[1,x]+F[97,x,k[0]]+F[98,x,k[0]]+F[99,x,k[0]]
F[98,x,k[0]] = F[14,x]*F[7,x,k[0]]
F[99,x,k[0]] = F[14,x]*F[44,x,k[0]]
F[100,x,k[0]] = F[62,x,k[0]]
F[101,x,k[0]] = F[102,x,k[0]]*F[14,x]
F[102,x,k[0]] = (F[93,x,k[0]]*k[0]-F[93,x,1])/(-1+k[0])
F[103,x,k[0]] = F[104,x,k[0]]*F[14,x]
F[104,x,k[0]] = F[105,x]+F[126,x,k[0]]
F[105,x] = F[1,x]+F[106,x]+F[107,x]+F[112,x]+F[13,x]
F[106,x] = F[50,x,1]
F[107,x] = F[108,x,1]
F[108,x,k[0]] = F[109,x,k[0]]*F[14,x]
F[109,x,k[0]] = F[110,x,k[0]]+F[92,x]
F[110,x,k[0]] = F[111,x,k[0]]
F[111,x,k[0]] = k[0]*F[61,x]
F[112,x] = F[113,x]*F[14,x]
F[113,x] = F[114,x,1]
F[114,x,k[0]] = F[1,x]+F[115,x,k[0]]+F[118,x,k[0]]+F[121,x,k[0]]+F[124,x,k[0]]+F[77,x,k[0]]
F[115,x,k[0]] = F[116,x,k[0]]*F[14,x]
F[116,x,k[0]] = F[117,x,k[0]]+F[47,x,k[0]]
F[117,x,k[0]] = F[81,x,k[0]]
F[118,x,k[0]] = F[119,x,k[0]]*F[58,x,k[0]]
F[119,x,k[0]] = F[120,x,k[0]]+F[51,x,k[0]]
F[120,x,k[0]] = F[54,x,k[0]]
F[121,x,k[0]] = F[122,x,k[0]]*F[14,x]
F[122,x,k[0]] = F[123,x,k[0]]+F[91,x,k[0]]
F[123,x,k[0]] = F[61,x]
F[124,x,k[0]] = F[125,x,k[0]]*F[14,x]
F[125,x,k[0]] = (F[114,x,k[0]]*k[0]-F[114,x,1])/(-1+k[0])
F[126,x,k[0]] = F[127,x,k[0]]
F[127,x,k[0]] = F[128,x,k[0]]*F[58,x,k[0]]
F[128,x,k[0]] = F[129,x,k[0]]+F[87,x,k[0]]
F[130,x,k[0]] = F[129,x,k[0]]*F[58,x,k[0]]
F[130,x,k[0]] = F[131,x,k[0]]
F[44,x,k[0]] = F[131,x,k[0]]+F[132,x]
F[132,x] = F[78,x,1]
F[133,x,k[0]] = F[111,x,k[0]]
F[134,x,k[0]] = F[14,x]*F[32,x,k[0]]
F[135,x,k[0]] = F[136,x,k[0]]*F[14,x]
F[136,x,k[0]] = (F[32,x,k[0]]*k[0]-F[32,x,1])/(-1+k[0])
F[137,x,k[0]] = F[138,x,k[0]]*F[14,x]
F[138,x,k[0]] = (F[139,x,k[0]]*k[0]-F[139,x,1])/(-1+k[0])
F[139,x,k[0]] = F[137,x,k[0]]+F[140,x,k[0]]+F[54,x,k[0]]
F[140,x,k[0]] = F[139,x,k[0]]*F[14,x]
F[141,x,k[0]] = F[142,x,k[0]]
F[142,x,k[0]] = 1/(-1+k[0])*(F[33,x,k[0]]*k[0]-F[33,x,1])
F[143,x,k[0]] = F[144,x,k[0]]*F[58,x,k[0]]
F[144,x,k[0]] = F[145,x,k[0]]+F[35,x,k[0]]
F[145,x,k[0]] = F[33,x,k[0]]
F[146,x,k[0]] = F[14,x]*F[147,x,k[0]]
F[147,x,k[0]] = (F[19,x,k[0]]*k[0]-F[19,x,1])/(-1+k[0])
F[148,x,k[0]] = F[149,x,k[0]]
F[149,x,k[0]] = k[0]*F[150,x]
F[150,x] = F[13,x]+F[151,x]+F[153,x]+F[55,x]+F[74,x]
F[151,x] = F[152,x]
F[152,x] = F[14,x]*F[150,x]
F[153,x] = F[14,x]*F[154,x]
F[154,x] = F[155,x,1]
F[155,x,k[0]] = F[156,x,k[0]]+F[158,x,k[0]]+F[160,x,k[0]]+F[20,x,k[0]]+F[55,x]+F[84,x,k[0]]
F[156,x,k[0]] = F[157,x,k[0]]
F[157,x,k[0]] = F[14,x]*F[142,x,k[0]]
F[158,x,k[0]] = F[159,x,k[0]]
F[159,x,k[0]] = F[33,x,k[0]]*F[58,x,k[0]]
F[160,x,k[0]] = F[14,x]*F[161,x,k[0]]
F[161,x,k[0]] = (F[155,x,k[0]]*k[0]-F[155,x,1])/(-1+k[0])
F[162,x,k[0]] = F[150,x]
F[163,x,k[0]] = F[164,x,k[0]]
F[164,x,k[0]] = F[165,x,k[0]]*F[58,x,k[0]]
F[165,x,k[0]] = F[166,x,k[0]]+F[169,x,k[0]]
F[167,x,k[0]] = F[166,x,k[0]]*F[58,x,k[0]]
F[167,x,k[0]] = F[168,x,k[0]]
F[7,x,k[0]] = F[168,x,k[0]]+F[5,x]
F[169,x,k[0]] = F[170,x,k[0]]
F[170,x,k[0]] = k[0]*F[171,x,k[0]]
F[171,x,k[0]] = F[172,x,k[0]]
F[173,x,k[0]] = F[166,x,k[0]]+F[172,x,k[0]]
F[174,x,k[0]] = F[173,x,k[0]]*F[58,x,k[0]]
F[174,x,k[0]] = F[175,x,k[0]]
F[176,x,k[0]] = F[12,x]+F[175,x,k[0]]
F[176,x,k[0]] = 1/(-1+k[0])*(F[177,x,k[0]]*k[0]-F[177,x,1])
F[23,x,k[0]] = 1/(-1+k[0])*(F[177,x,k[0]]*k[0]-F[177,x,1])
F[178,x,k[0]] = F[14,x]*F[40,x,k[0]]
F[179,x,k[0]] = F[14,x]*F[43,x,k[0]]
F[180,x] = F[132,x]*F[14,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_{14}\! \left(x \right) F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{1}\! \left(x \right)+F_{180}\! \left(x \right)+F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{14}\! \left(x \right) F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{6}\! \left(x , 1\right)
F_{7}\! \left(x , y\right) = -\frac{-F_{6}\! \left(x , y\right) y +F_{6}\! \left(x , 1\right)}{-1+y}
F_{7}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{16}\! \left(x , y\right)+F_{178}\! \left(x , y\right)+F_{179}\! \left(x , y\right)+F_{8}\! \left(x , y\right)
F_{8}\! \left(x , y\right) = F_{58}\! \left(x , y\right) F_{9}\! \left(x , y\right)
F_{9}\! \left(x , y\right) = F_{10}\! \left(x , y\right)+F_{163}\! \left(x , y\right)
F_{11}\! \left(x , y\right) = F_{10}\! \left(x , y\right)+F_{162}\! \left(x , y\right)
F_{11}\! \left(x , y\right) = F_{12}\! \left(x \right)+F_{148}\! \left(x , y\right)
F_{12}\! \left(x \right) = F_{1}\! \left(x \right)+F_{112}\! \left(x \right)+F_{13}\! \left(x \right)+F_{15}\! \left(x \right)+F_{17}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right) F_{3}\! \left(x \right)
F_{14}\! \left(x \right) = x
F_{15}\! \left(x \right) = F_{16}\! \left(x , 1\right)
F_{16}\! \left(x , y\right) = F_{11}\! \left(x , y\right) F_{14}\! \left(x \right)
F_{17}\! \left(x \right) = F_{14}\! \left(x \right) F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x , 1\right)
F_{19}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{124}\! \left(x , y\right)+F_{143}\! \left(x , y\right)+F_{146}\! \left(x , y\right)+F_{20}\! \left(x , y\right)+F_{21}\! \left(x , y\right)
F_{20}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{6}\! \left(x , y\right)
F_{21}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{22}\! \left(x , y\right)
F_{22}\! \left(x , y\right) = F_{141}\! \left(x , y\right)+F_{23}\! \left(x , y\right)
F_{23}\! \left(x , y\right) = F_{12}\! \left(x \right)+F_{24}\! \left(x , y\right)
F_{24}\! \left(x , y\right) = F_{25}\! \left(x , y\right)
F_{25}\! \left(x , y\right) = F_{26}\! \left(x , y\right) F_{58}\! \left(x , y\right)
F_{26}\! \left(x , y\right) = F_{27}\! \left(x , y\right)+F_{31}\! \left(x , y\right)
F_{28}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{27}\! \left(x , y\right)
F_{28}\! \left(x , y\right) = F_{29}\! \left(x , y\right)
F_{30}\! \left(x , y\right) = F_{29}\! \left(x , y\right)+F_{6}\! \left(x , y\right)
F_{30}\! \left(x , y\right) = F_{7}\! \left(x , y\right)
F_{31}\! \left(x , y\right) = F_{32}\! \left(x , y\right)
F_{32}\! \left(x , y\right) = F_{134}\! \left(x , y\right)+F_{135}\! \left(x , y\right)+F_{137}\! \left(x , y\right)+F_{33}\! \left(x , y\right)
F_{33}\! \left(x , y\right) = F_{34}\! \left(x , y\right)
F_{35}\! \left(x , y\right) = F_{34}\! \left(x , y\right)+F_{96}\! \left(x , y\right)
F_{36}\! \left(x , y\right) = F_{35}\! \left(x , y\right) F_{58}\! \left(x , y\right)
F_{30}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{36}\! \left(x , y\right)+F_{37}\! \left(x , y\right)+F_{38}\! \left(x , y\right)+F_{41}\! \left(x , y\right)
F_{37}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{23}\! \left(x , y\right)
F_{38}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{39}\! \left(x , y\right)
F_{39}\! \left(x , y\right) = F_{40}\! \left(x , y\right)
F_{40}\! \left(x , y\right) = -\frac{-F_{7}\! \left(x , y\right) y +F_{7}\! \left(x , 1\right)}{-1+y}
F_{41}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{42}\! \left(x , y\right)
F_{42}\! \left(x , y\right) = F_{43}\! \left(x , y\right)
F_{43}\! \left(x , y\right) = -\frac{-F_{44}\! \left(x , y\right) y +F_{44}\! \left(x , 1\right)}{-1+y}
F_{44}\! \left(x , y\right) = F_{45}\! \left(x , y\right)
F_{45}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{41}\! \left(x , y\right)+F_{46}\! \left(x , y\right)+F_{50}\! \left(x , y\right)+F_{90}\! \left(x , y\right)
F_{46}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{47}\! \left(x , y\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_{103}\! \left(x , y\right)+F_{49}\! \left(x \right)+F_{50}\! \left(x , y\right)+F_{90}\! \left(x , y\right)
F_{49}\! \left(x \right) = F_{0}\! \left(x \right) F_{14}\! \left(x \right)
F_{50}\! \left(x , y\right) = F_{51}\! \left(x , y\right) F_{58}\! \left(x , y\right)
F_{51}\! \left(x , y\right) = F_{48}\! \left(x , y\right)+F_{52}\! \left(x , y\right)
F_{52}\! \left(x , y\right) = F_{53}\! \left(x , y\right)
F_{53}\! \left(x , y\right) = y F_{54}\! \left(x , y\right)
F_{54}\! \left(x , y\right) = F_{49}\! \left(x \right)+F_{55}\! \left(x \right)+F_{56}\! \left(x , y\right)+F_{59}\! \left(x , y\right)+F_{67}\! \left(x , y\right)
F_{55}\! \left(x \right) = 0
F_{56}\! \left(x , y\right) = F_{57}\! \left(x , y\right)
F_{57}\! \left(x , y\right) = F_{54}\! \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 \right)
F_{60}\! \left(x \right) = F_{14}\! \left(x \right) F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x , 1\right)
F_{62}\! \left(x , y\right) = F_{49}\! \left(x \right)+F_{55}\! \left(x \right)+F_{63}\! \left(x , y\right)+F_{65}\! \left(x , y\right)+F_{67}\! \left(x , y\right)
F_{63}\! \left(x , y\right) = F_{64}\! \left(x , y\right)
F_{64}\! \left(x , y\right) = F_{58}\! \left(x , y\right) F_{62}\! \left(x , y\right)
F_{65}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{66}\! \left(x , y\right)
F_{66}\! \left(x , y\right) = -\frac{-F_{62}\! \left(x , y\right) y +F_{62}\! \left(x , 1\right)}{-1+y}
F_{67}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{68}\! \left(x , y\right)
F_{68}\! \left(x , y\right) = F_{69}\! \left(x \right)+F_{86}\! \left(x , y\right)
F_{69}\! \left(x \right) = F_{13}\! \left(x \right)+F_{55}\! \left(x \right)+F_{70}\! \left(x \right)+F_{73}\! \left(x \right)+F_{74}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{14}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{54}\! \left(x , 1\right)
F_{73}\! \left(x \right) = F_{60}\! \left(x \right)
F_{74}\! \left(x \right) = F_{14}\! \left(x \right) F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x , 1\right)
F_{76}\! \left(x , y\right) = F_{55}\! \left(x \right)+F_{77}\! \left(x , y\right)+F_{79}\! \left(x , y\right)+F_{82}\! \left(x , y\right)+F_{83}\! \left(x , y\right)+F_{84}\! \left(x , y\right)
F_{77}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{78}\! \left(x , y\right)
F_{44}\! \left(x , y\right) = -\frac{-F_{78}\! \left(x , y\right) y +F_{78}\! \left(x , 1\right)}{-1+y}
F_{79}\! \left(x , y\right) = F_{80}\! \left(x , y\right)
F_{80}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{81}\! \left(x , y\right)
F_{81}\! \left(x , y\right) = -\frac{-y F_{54}\! \left(x , y\right)+F_{54}\! \left(x , 1\right)}{-1+y}
F_{82}\! \left(x , y\right) = F_{57}\! \left(x , y\right)
F_{83}\! \left(x , y\right) = F_{60}\! \left(x \right)
F_{84}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{85}\! \left(x , y\right)
F_{85}\! \left(x , y\right) = -\frac{-F_{76}\! \left(x , y\right) y +F_{76}\! \left(x , 1\right)}{-1+y}
F_{86}\! \left(x , y\right) = F_{58}\! \left(x , y\right) F_{87}\! \left(x , y\right)
F_{87}\! \left(x , y\right) = -\frac{-F_{88}\! \left(x , y\right) y +F_{88}\! \left(x , 1\right)}{-1+y}
F_{88}\! \left(x , y\right) = F_{54}\! \left(x , y\right)+F_{89}\! \left(x , y\right)
F_{89}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{87}\! \left(x , y\right)
F_{90}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{91}\! \left(x , y\right)
F_{91}\! \left(x , y\right) = F_{133}\! \left(x , y\right)+F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{93}\! \left(x , 1\right)
F_{93}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{101}\! \left(x , y\right)+F_{103}\! \left(x , y\right)+F_{49}\! \left(x \right)+F_{94}\! \left(x , y\right)
F_{94}\! \left(x , y\right) = F_{58}\! \left(x , y\right) F_{95}\! \left(x , y\right)
F_{95}\! \left(x , y\right) = F_{100}\! \left(x , y\right)+F_{96}\! \left(x , y\right)
F_{97}\! \left(x , y\right) = F_{58}\! \left(x , y\right) F_{96}\! \left(x , y\right)
F_{6}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{97}\! \left(x , y\right)+F_{98}\! \left(x , y\right)+F_{99}\! \left(x , y\right)
F_{98}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{7}\! \left(x , y\right)
F_{99}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{44}\! \left(x , y\right)
F_{100}\! \left(x , y\right) = F_{62}\! \left(x , y\right)
F_{101}\! \left(x , y\right) = F_{102}\! \left(x , y\right) F_{14}\! \left(x \right)
F_{102}\! \left(x , y\right) = -\frac{-F_{93}\! \left(x , y\right) y +F_{93}\! \left(x , 1\right)}{-1+y}
F_{103}\! \left(x , y\right) = F_{104}\! \left(x , y\right) F_{14}\! \left(x \right)
F_{104}\! \left(x , y\right) = F_{105}\! \left(x \right)+F_{126}\! \left(x , y\right)
F_{105}\! \left(x \right) = F_{1}\! \left(x \right)+F_{106}\! \left(x \right)+F_{107}\! \left(x \right)+F_{112}\! \left(x \right)+F_{13}\! \left(x \right)
F_{106}\! \left(x \right) = F_{50}\! \left(x , 1\right)
F_{107}\! \left(x \right) = F_{108}\! \left(x , 1\right)
F_{108}\! \left(x , y\right) = F_{109}\! \left(x , y\right) F_{14}\! \left(x \right)
F_{109}\! \left(x , y\right) = F_{110}\! \left(x , y\right)+F_{92}\! \left(x \right)
F_{110}\! \left(x , y\right) = F_{111}\! \left(x , y\right)
F_{111}\! \left(x , y\right) = y F_{61}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right) F_{14}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x , 1\right)
F_{114}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{115}\! \left(x , y\right)+F_{118}\! \left(x , y\right)+F_{121}\! \left(x , y\right)+F_{124}\! \left(x , y\right)+F_{77}\! \left(x , y\right)
F_{115}\! \left(x , y\right) = F_{116}\! \left(x , y\right) F_{14}\! \left(x \right)
F_{116}\! \left(x , y\right) = F_{117}\! \left(x , y\right)+F_{47}\! \left(x , y\right)
F_{117}\! \left(x , y\right) = F_{81}\! \left(x , y\right)
F_{118}\! \left(x , y\right) = F_{119}\! \left(x , y\right) F_{58}\! \left(x , y\right)
F_{119}\! \left(x , y\right) = F_{120}\! \left(x , y\right)+F_{51}\! \left(x , y\right)
F_{120}\! \left(x , y\right) = F_{54}\! \left(x , y\right)
F_{121}\! \left(x , y\right) = F_{122}\! \left(x , y\right) F_{14}\! \left(x \right)
F_{122}\! \left(x , y\right) = F_{123}\! \left(x , y\right)+F_{91}\! \left(x , y\right)
F_{123}\! \left(x , y\right) = F_{61}\! \left(x \right)
F_{124}\! \left(x , y\right) = F_{125}\! \left(x , y\right) F_{14}\! \left(x \right)
F_{125}\! \left(x , y\right) = -\frac{-F_{114}\! \left(x , y\right) y +F_{114}\! \left(x , 1\right)}{-1+y}
F_{126}\! \left(x , y\right) = F_{127}\! \left(x , y\right)
F_{127}\! \left(x , y\right) = F_{128}\! \left(x , y\right) F_{58}\! \left(x , y\right)
F_{128}\! \left(x , y\right) = F_{129}\! \left(x , y\right)+F_{87}\! \left(x , y\right)
F_{130}\! \left(x , y\right) = F_{129}\! \left(x , y\right) F_{58}\! \left(x , y\right)
F_{130}\! \left(x , y\right) = F_{131}\! \left(x , y\right)
F_{44}\! \left(x , y\right) = F_{131}\! \left(x , y\right)+F_{132}\! \left(x \right)
F_{132}\! \left(x \right) = F_{78}\! \left(x , 1\right)
F_{133}\! \left(x , y\right) = F_{111}\! \left(x , y\right)
F_{134}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{32}\! \left(x , y\right)
F_{135}\! \left(x , y\right) = F_{136}\! \left(x , y\right) F_{14}\! \left(x \right)
F_{136}\! \left(x , y\right) = -\frac{-F_{32}\! \left(x , y\right) y +F_{32}\! \left(x , 1\right)}{-1+y}
F_{137}\! \left(x , y\right) = F_{138}\! \left(x , y\right) F_{14}\! \left(x \right)
F_{138}\! \left(x , y\right) = -\frac{-F_{139}\! \left(x , y\right) y +F_{139}\! \left(x , 1\right)}{-1+y}
F_{139}\! \left(x , y\right) = F_{137}\! \left(x , y\right)+F_{140}\! \left(x , y\right)+F_{54}\! \left(x , y\right)
F_{140}\! \left(x , y\right) = F_{139}\! \left(x , y\right) F_{14}\! \left(x \right)
F_{141}\! \left(x , y\right) = F_{142}\! \left(x , y\right)
F_{142}\! \left(x , y\right) = -\frac{-F_{33}\! \left(x , y\right) y +F_{33}\! \left(x , 1\right)}{-1+y}
F_{143}\! \left(x , y\right) = F_{144}\! \left(x , y\right) F_{58}\! \left(x , y\right)
F_{144}\! \left(x , y\right) = F_{145}\! \left(x , y\right)+F_{35}\! \left(x , y\right)
F_{145}\! \left(x , y\right) = F_{33}\! \left(x , y\right)
F_{146}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{147}\! \left(x , y\right)
F_{147}\! \left(x , y\right) = -\frac{-F_{19}\! \left(x , y\right) y +F_{19}\! \left(x , 1\right)}{-1+y}
F_{148}\! \left(x , y\right) = F_{149}\! \left(x , y\right)
F_{149}\! \left(x , y\right) = y F_{150}\! \left(x \right)
F_{150}\! \left(x \right) = F_{13}\! \left(x \right)+F_{151}\! \left(x \right)+F_{153}\! \left(x \right)+F_{55}\! \left(x \right)+F_{74}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right)
F_{152}\! \left(x \right) = F_{14}\! \left(x \right) F_{150}\! \left(x \right)
F_{153}\! \left(x \right) = F_{14}\! \left(x \right) F_{154}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x , 1\right)
F_{155}\! \left(x , y\right) = F_{156}\! \left(x , y\right)+F_{158}\! \left(x , y\right)+F_{160}\! \left(x , y\right)+F_{20}\! \left(x , y\right)+F_{55}\! \left(x \right)+F_{84}\! \left(x , y\right)
F_{156}\! \left(x , y\right) = F_{157}\! \left(x , y\right)
F_{157}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{142}\! \left(x , y\right)
F_{158}\! \left(x , y\right) = F_{159}\! \left(x , y\right)
F_{159}\! \left(x , y\right) = F_{33}\! \left(x , y\right) F_{58}\! \left(x , y\right)
F_{160}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{161}\! \left(x , y\right)
F_{161}\! \left(x , y\right) = -\frac{-F_{155}\! \left(x , y\right) y +F_{155}\! \left(x , 1\right)}{-1+y}
F_{162}\! \left(x , y\right) = F_{150}\! \left(x \right)
F_{163}\! \left(x , y\right) = F_{164}\! \left(x , y\right)
F_{164}\! \left(x , y\right) = F_{165}\! \left(x , y\right) F_{58}\! \left(x , y\right)
F_{165}\! \left(x , y\right) = F_{166}\! \left(x , y\right)+F_{169}\! \left(x , y\right)
F_{167}\! \left(x , y\right) = F_{166}\! \left(x , y\right) F_{58}\! \left(x , y\right)
F_{167}\! \left(x , y\right) = F_{168}\! \left(x , y\right)
F_{7}\! \left(x , y\right) = F_{168}\! \left(x , y\right)+F_{5}\! \left(x \right)
F_{169}\! \left(x , y\right) = F_{170}\! \left(x , y\right)
F_{170}\! \left(x , y\right) = y F_{171}\! \left(x , y\right)
F_{171}\! \left(x , y\right) = F_{172}\! \left(x , y\right)
F_{173}\! \left(x , y\right) = F_{166}\! \left(x , y\right)+F_{172}\! \left(x , y\right)
F_{174}\! \left(x , y\right) = F_{173}\! \left(x , y\right) F_{58}\! \left(x , y\right)
F_{174}\! \left(x , y\right) = F_{175}\! \left(x , y\right)
F_{176}\! \left(x , y\right) = F_{12}\! \left(x \right)+F_{175}\! \left(x , y\right)
F_{176}\! \left(x , y\right) = -\frac{-y F_{177}\! \left(x , y\right)+F_{177}\! \left(x , 1\right)}{-1+y}
F_{23}\! \left(x , y\right) = -\frac{-y F_{177}\! \left(x , y\right)+F_{177}\! \left(x , 1\right)}{-1+y}
F_{178}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{40}\! \left(x , y\right)
F_{179}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{43}\! \left(x , y\right)
F_{180}\! \left(x \right) = F_{132}\! \left(x \right) F_{14}\! \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_14(x)*F_3(x))
Eq(F_3(x), F_1(x) + F_180(x) + F_4(x))
Eq(F_4(x), F_14(x)*F_5(x))
Eq(F_5(x), F_6(x, 1))
Eq(F_7(x, k_0), (-k_0*F_6(x, k_0) + F_6(x, 1))/(1 - k_0))
Eq(F_7(x, k_0), F_1(x) + F_16(x, k_0) + F_178(x, k_0) + F_179(x, k_0) + F_8(x, k_0))
Eq(F_8(x, k_0), F_58(x, k_0)*F_9(x, k_0))
Eq(F_9(x, k_0), F_10(x, k_0) + F_163(x, k_0))
Eq(F_11(x, k_0), F_10(x, k_0) + F_162(x, k_0))
Eq(F_11(x, k_0), F_12(x) + F_148(x, k_0))
Eq(F_12(x), F_1(x) + F_112(x) + F_13(x) + F_15(x) + F_17(x))
Eq(F_13(x), F_14(x)*F_3(x))
Eq(F_14(x), x)
Eq(F_15(x), F_16(x, 1))
Eq(F_16(x, k_0), F_11(x, k_0)*F_14(x))
Eq(F_17(x), F_14(x)*F_18(x))
Eq(F_18(x), F_19(x, 1))
Eq(F_19(x, k_0), F_1(x) + F_124(x, k_0) + F_143(x, k_0) + F_146(x, k_0) + F_20(x, k_0) + F_21(x, k_0))
Eq(F_20(x, k_0), F_14(x)*F_6(x, k_0))
Eq(F_21(x, k_0), F_14(x)*F_22(x, k_0))
Eq(F_22(x, k_0), F_141(x, k_0) + F_23(x, k_0))
Eq(F_23(x, k_0), F_12(x) + F_24(x, k_0))
Eq(F_24(x, k_0), F_25(x, k_0))
Eq(F_25(x, k_0), F_26(x, k_0)*F_58(x, k_0))
Eq(F_26(x, k_0), F_27(x, k_0) + F_31(x, k_0))
Eq(F_28(x, k_0), F_14(x)*F_27(x, k_0))
Eq(F_28(x, k_0), F_29(x, k_0))
Eq(F_30(x, k_0), F_29(x, k_0) + F_6(x, k_0))
Eq(F_30(x, k_0), F_7(x, k_0))
Eq(F_31(x, k_0), F_32(x, k_0))
Eq(F_32(x, k_0), F_134(x, k_0) + F_135(x, k_0) + F_137(x, k_0) + F_33(x, k_0))
Eq(F_33(x, k_0), F_34(x, k_0))
Eq(F_35(x, k_0), F_34(x, k_0) + F_96(x, k_0))
Eq(F_36(x, k_0), F_35(x, k_0)*F_58(x, k_0))
Eq(F_30(x, k_0), F_1(x) + F_36(x, k_0) + F_37(x, k_0) + F_38(x, k_0) + F_41(x, k_0))
Eq(F_37(x, k_0), F_14(x)*F_23(x, k_0))
Eq(F_38(x, k_0), F_14(x)*F_39(x, k_0))
Eq(F_39(x, k_0), F_40(x, k_0))
Eq(F_40(x, k_0), (-k_0*F_7(x, k_0) + F_7(x, 1))/(1 - k_0))
Eq(F_41(x, k_0), F_14(x)*F_42(x, k_0))
Eq(F_42(x, k_0), F_43(x, k_0))
Eq(F_43(x, k_0), (-k_0*F_44(x, k_0) + F_44(x, 1))/(1 - k_0))
Eq(F_44(x, k_0), F_45(x, k_0))
Eq(F_45(x, k_0), F_1(x) + F_41(x, k_0) + F_46(x, k_0) + F_50(x, k_0) + F_90(x, k_0))
Eq(F_46(x, k_0), F_14(x)*F_47(x, k_0))
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_103(x, k_0) + F_49(x) + F_50(x, k_0) + F_90(x, k_0))
Eq(F_49(x), F_0(x)*F_14(x))
Eq(F_50(x, k_0), F_51(x, k_0)*F_58(x, k_0))
Eq(F_51(x, k_0), F_48(x, k_0) + F_52(x, k_0))
Eq(F_52(x, k_0), F_53(x, k_0))
Eq(F_53(x, k_0), k_0*F_54(x, k_0))
Eq(F_54(x, k_0), F_49(x) + F_55(x) + F_56(x, k_0) + F_59(x, k_0) + F_67(x, k_0))
Eq(F_55(x), 0)
Eq(F_56(x, k_0), F_57(x, k_0))
Eq(F_57(x, k_0), F_54(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))
Eq(F_60(x), F_14(x)*F_61(x))
Eq(F_61(x), F_62(x, 1))
Eq(F_62(x, k_0), F_49(x) + F_55(x) + F_63(x, k_0) + F_65(x, k_0) + F_67(x, k_0))
Eq(F_63(x, k_0), F_64(x, k_0))
Eq(F_64(x, k_0), F_58(x, k_0)*F_62(x, k_0))
Eq(F_65(x, k_0), F_14(x)*F_66(x, k_0))
Eq(F_66(x, k_0), (-k_0*F_62(x, k_0) + F_62(x, 1))/(1 - k_0))
Eq(F_67(x, k_0), F_14(x)*F_68(x, k_0))
Eq(F_68(x, k_0), F_69(x) + F_86(x, k_0))
Eq(F_69(x), F_13(x) + F_55(x) + F_70(x) + F_73(x) + F_74(x))
Eq(F_70(x), F_71(x))
Eq(F_71(x), F_14(x)*F_72(x))
Eq(F_72(x), F_54(x, 1))
Eq(F_73(x), F_60(x))
Eq(F_74(x), F_14(x)*F_75(x))
Eq(F_75(x), F_76(x, 1))
Eq(F_76(x, k_0), F_55(x) + F_77(x, k_0) + F_79(x, k_0) + F_82(x, k_0) + F_83(x, k_0) + F_84(x, k_0))
Eq(F_77(x, k_0), F_14(x)*F_78(x, k_0))
Eq(F_44(x, k_0), (-k_0*F_78(x, k_0) + F_78(x, 1))/(1 - k_0))
Eq(F_79(x, k_0), F_80(x, k_0))
Eq(F_80(x, k_0), F_14(x)*F_81(x, k_0))
Eq(F_81(x, k_0), (k_0*F_54(x, k_0) - F_54(x, 1))/(k_0 - 1))
Eq(F_82(x, k_0), F_57(x, k_0))
Eq(F_83(x, k_0), F_60(x))
Eq(F_84(x, k_0), F_14(x)*F_85(x, k_0))
Eq(F_85(x, k_0), (-k_0*F_76(x, k_0) + F_76(x, 1))/(1 - k_0))
Eq(F_86(x, k_0), F_58(x, k_0)*F_87(x, k_0))
Eq(F_87(x, k_0), (-k_0*F_88(x, k_0) + F_88(x, 1))/(1 - k_0))
Eq(F_88(x, k_0), F_54(x, k_0) + F_89(x, k_0))
Eq(F_89(x, k_0), F_14(x)*F_87(x, k_0))
Eq(F_90(x, k_0), F_14(x)*F_91(x, k_0))
Eq(F_91(x, k_0), F_133(x, k_0) + F_92(x))
Eq(F_92(x), F_93(x, 1))
Eq(F_93(x, k_0), F_1(x) + F_101(x, k_0) + F_103(x, k_0) + F_49(x) + F_94(x, k_0))
Eq(F_94(x, k_0), F_58(x, k_0)*F_95(x, k_0))
Eq(F_95(x, k_0), F_100(x, k_0) + F_96(x, k_0))
Eq(F_97(x, k_0), F_58(x, k_0)*F_96(x, k_0))
Eq(F_6(x, k_0), F_1(x) + F_97(x, k_0) + F_98(x, k_0) + F_99(x, k_0))
Eq(F_98(x, k_0), F_14(x)*F_7(x, k_0))
Eq(F_99(x, k_0), F_14(x)*F_44(x, k_0))
Eq(F_100(x, k_0), F_62(x, k_0))
Eq(F_101(x, k_0), F_102(x, k_0)*F_14(x))
Eq(F_102(x, k_0), (-k_0*F_93(x, k_0) + F_93(x, 1))/(1 - k_0))
Eq(F_103(x, k_0), F_104(x, k_0)*F_14(x))
Eq(F_104(x, k_0), F_105(x) + F_126(x, k_0))
Eq(F_105(x), F_1(x) + F_106(x) + F_107(x) + F_112(x) + F_13(x))
Eq(F_106(x), F_50(x, 1))
Eq(F_107(x), F_108(x, 1))
Eq(F_108(x, k_0), F_109(x, k_0)*F_14(x))
Eq(F_109(x, k_0), F_110(x, k_0) + F_92(x))
Eq(F_110(x, k_0), F_111(x, k_0))
Eq(F_111(x, k_0), k_0*F_61(x))
Eq(F_112(x), F_113(x)*F_14(x))
Eq(F_113(x), F_114(x, 1))
Eq(F_114(x, k_0), F_1(x) + F_115(x, k_0) + F_118(x, k_0) + F_121(x, k_0) + F_124(x, k_0) + F_77(x, k_0))
Eq(F_115(x, k_0), F_116(x, k_0)*F_14(x))
Eq(F_116(x, k_0), F_117(x, k_0) + F_47(x, k_0))
Eq(F_117(x, k_0), F_81(x, k_0))
Eq(F_118(x, k_0), F_119(x, k_0)*F_58(x, k_0))
Eq(F_119(x, k_0), F_120(x, k_0) + F_51(x, k_0))
Eq(F_120(x, k_0), F_54(x, k_0))
Eq(F_121(x, k_0), F_122(x, k_0)*F_14(x))
Eq(F_122(x, k_0), F_123(x, k_0) + F_91(x, k_0))
Eq(F_123(x, k_0), F_61(x))
Eq(F_124(x, k_0), F_125(x, k_0)*F_14(x))
Eq(F_125(x, k_0), (-k_0*F_114(x, k_0) + F_114(x, 1))/(1 - k_0))
Eq(F_126(x, k_0), F_127(x, k_0))
Eq(F_127(x, k_0), F_128(x, k_0)*F_58(x, k_0))
Eq(F_128(x, k_0), F_129(x, k_0) + F_87(x, k_0))
Eq(F_130(x, k_0), F_129(x, k_0)*F_58(x, k_0))
Eq(F_130(x, k_0), F_131(x, k_0))
Eq(F_44(x, k_0), F_131(x, k_0) + F_132(x))
Eq(F_132(x), F_78(x, 1))
Eq(F_133(x, k_0), F_111(x, k_0))
Eq(F_134(x, k_0), F_14(x)*F_32(x, k_0))
Eq(F_135(x, k_0), F_136(x, k_0)*F_14(x))
Eq(F_136(x, k_0), (-k_0*F_32(x, k_0) + F_32(x, 1))/(1 - k_0))
Eq(F_137(x, k_0), F_138(x, k_0)*F_14(x))
Eq(F_138(x, k_0), (-k_0*F_139(x, k_0) + F_139(x, 1))/(1 - k_0))
Eq(F_139(x, k_0), F_137(x, k_0) + F_140(x, k_0) + F_54(x, k_0))
Eq(F_140(x, k_0), F_139(x, k_0)*F_14(x))
Eq(F_141(x, k_0), F_142(x, k_0))
Eq(F_142(x, k_0), (k_0*F_33(x, k_0) - F_33(x, 1))/(k_0 - 1))
Eq(F_143(x, k_0), F_144(x, k_0)*F_58(x, k_0))
Eq(F_144(x, k_0), F_145(x, k_0) + F_35(x, k_0))
Eq(F_145(x, k_0), F_33(x, k_0))
Eq(F_146(x, k_0), F_14(x)*F_147(x, k_0))
Eq(F_147(x, k_0), (-k_0*F_19(x, k_0) + F_19(x, 1))/(1 - k_0))
Eq(F_148(x, k_0), F_149(x, k_0))
Eq(F_149(x, k_0), k_0*F_150(x))
Eq(F_150(x), F_13(x) + F_151(x) + F_153(x) + F_55(x) + F_74(x))
Eq(F_151(x), F_152(x))
Eq(F_152(x), F_14(x)*F_150(x))
Eq(F_153(x), F_14(x)*F_154(x))
Eq(F_154(x), F_155(x, 1))
Eq(F_155(x, k_0), F_156(x, k_0) + F_158(x, k_0) + F_160(x, k_0) + F_20(x, k_0) + F_55(x) + F_84(x, k_0))
Eq(F_156(x, k_0), F_157(x, k_0))
Eq(F_157(x, k_0), F_14(x)*F_142(x, k_0))
Eq(F_158(x, k_0), F_159(x, k_0))
Eq(F_159(x, k_0), F_33(x, k_0)*F_58(x, k_0))
Eq(F_160(x, k_0), F_14(x)*F_161(x, k_0))
Eq(F_161(x, k_0), (-k_0*F_155(x, k_0) + F_155(x, 1))/(1 - k_0))
Eq(F_162(x, k_0), F_150(x))
Eq(F_163(x, k_0), F_164(x, k_0))
Eq(F_164(x, k_0), F_165(x, k_0)*F_58(x, k_0))
Eq(F_165(x, k_0), F_166(x, k_0) + F_169(x, k_0))
Eq(F_167(x, k_0), F_166(x, k_0)*F_58(x, k_0))
Eq(F_167(x, k_0), F_168(x, k_0))
Eq(F_7(x, k_0), F_168(x, k_0) + F_5(x))
Eq(F_169(x, k_0), F_170(x, k_0))
Eq(F_170(x, k_0), k_0*F_171(x, k_0))
Eq(F_171(x, k_0), F_172(x, k_0))
Eq(F_173(x, k_0), F_166(x, k_0) + F_172(x, k_0))
Eq(F_174(x, k_0), F_173(x, k_0)*F_58(x, k_0))
Eq(F_174(x, k_0), F_175(x, k_0))
Eq(F_176(x, k_0), F_12(x) + F_175(x, k_0))
Eq(F_176(x, k_0), (-k_0*F_177(x, k_0) + F_177(x, 1))/(1 - k_0))
Eq(F_23(x, k_0), (k_0*F_177(x, k_0) - F_177(x, 1))/(k_0 - 1))
Eq(F_178(x, k_0), F_14(x)*F_40(x, k_0))
Eq(F_179(x, k_0), F_14(x)*F_43(x, k_0))
Eq(F_180(x), F_132(x)*F_14(x))
Pack JSON:
{"name": "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_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, 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, 4, 2], "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, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 1], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 2]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 2]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 2]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 1], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 2], [0, 1], [0, 2], [0, 2]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 1], [0, 0], [0, 0], [0, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 1], [0, 0], [0, 0], [0, 2]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 2]]}, {"patt": [2, 0, 1, 3], 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