01324_01342_01432_04132_10324_10342_10432
Counting sequence:
1, 1, 2, 6, 24, 113, 580, 3123, 17310, 97788, 559836, 3236556, 18850844, 110431028, 649901604, 3838972234, 22745689516, 135104990885, 804176538936, 4795069475611, 28634219830218, 171209415647073, 1024810341161904, 6139994650831357, 36816872546496066, 220919783460897483, 1326455166787406876, 7968709601491456259, 47895294677226408114, 287993737990699719727, 1732358658567846378504, 10424113919344758553835, 62743884319921945451910, 377764287264129461417700, 2274969949170773581489316, 13703300162402857964583900, 82558184723807834255421396, 497476245564723191392676560, 2998158089825145763890736156, 18071749770918104912263830118, 108944072046388969605838589852, 656839968219233498980721040502, 3960622852964784340436003548184, 23884228242212790849076936853872, 144045274488667491430490736353668, 868807455426801887647056749173090, 5240608918243608470768015411721300, 31613378514812153926973759273665376, 190716616912763164713403335054793672, 1150621187063893477239306592491587592, 6942251775746474439089606368447466200, 41888098938906941786555238134444562150, 252756037774555943716764915319220488104, 1525216424718776851847049972995833711020, 9204051445566626226522341357152833782884, 55544739425224238073544140737858487038390, 335213865299275069617785852915955159586028, 2023089368512394112422362751802463363268732, 12210156058030490127271638712342757664245880, 73695249621652331219620517033413385970058862, 444804384662076058305268503289735075610752640, 2684782639343694773323829621032882022891424240, 16205371393275901698160280440086589669720999052, 97817817574853168679528304064009023172501279610, 590453170300780926710817559709406308508344214172, 3564190357818335355986067375564644263048297083861, 21515118422756016078756978886896572630348939291624, 129877381026198027135327109985494484318564379371451, 784024773264770806529909839956994273001359410268698, 4732952132809141201787926014557581120666787425452041, 28571965346250393934083607323942971586637238520514048, 172485833967402011201739882713592757149962198384304325, 1041290081706820026478701091577867446476440122282682978, 6286294167269501831849276460426128743682359974918725407, 37950897205497536442810649088644336368520869507192511596, 229114990262668651649190021320536080689961087608211064247, 1383212227407058951069480660364097696755009080412209314826, 8350793745040808687585881856401584502691190087780424427651, 50416198906576358618763670422969805139629801214493382480840, 304379669407684162575599338174632183087247439881617437386887, 1837655892851516418992442657524379284381434893552813649377198, 11094700232988772336721010683277077648673317666316739151857541, 66983774639803579545780397864172592543237882425901935053478076, 404413988312208464002547995079794009980628610324132153809544945, 2441659403160779298637371324018518020664471541324937979374097670, 14741654222140492662651755183732642916621605351103987704830546721, 89003985541761106722850469442285245411509654141356948657841684920, 537371543976175314317811362485455059503578828810549312473602016873, 3244454882106822512252964045918374240441048524895943266055953067674, 19588923547060864725144494365164754880874328677567748805525773232241, 118271760682546451702175833648952744533161522211871910851187089363100, 714090275047328231550709771679910187252121477802795930976052095434121, 4311482754787672654082704825376523979239534946840475026162861383586926, 26031643265444254641761053590939794580323946578203391245255076858944925, 157172960544486413191353855971030333153917295686905972967300496294104080, 948976219450584076354967439141374258891937797623808249634361757255453845, 5729727966231303380062256219214396394979173259314461545973526463667335146, 34595036288733931757253009372229174251558184246112161339391984911952200499, 208878928462022732957625877410108162724046389507161715719120709468738195476, 1261178235718423763795976759895268745689115029361782591595761079243600714827, 7614813067860209476823331098723049444727233978654422556732417132989526443226
Specification 1
Strategy pack name: point_and_col_placements_tracked_fusion_tracked_component_fusion_symmetries
Tree: http://permpal.com/tree/25685/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[4,x]*F[5,x]
F[4,x] = x
F[5,x] = F[0,x]+F[6,x]
F[6,x] = F[7,x]+F[8,x]+F[90,x]
F[7,x] = 0
F[8,x] = F[4,x]*F[9,x]
F[9,x] = F[10,x,1]
F[10,x,k[0]] = F[11,x,k[0]]+F[13,x,k[0]]+F[15,x,k[0]]+F[7,x]
F[11,x,k[0]] = F[12,x,k[0]]*F[4,x]
F[12,x,k[0]] = -k[0]*(F[10,x,1]-F[10,x,k[0]])/(-1+k[0])
F[13,x,k[0]] = F[14,x,k[0]]*F[4,x]
F[14,x,k[0]] = F[12,x,k[0]]
F[15,x,k[0]] = F[16,x,k[0]]*F[17,x,k[0]]
F[16,x,k[0]] = k[0]*x
F[17,x,k[0]] = F[18,x,k[0]]+F[89,x,k[0]]
F[18,x,k[0]] = F[19,x]+F[88,x,k[0]]
F[19,x] = F[0,x]+F[20,x]
F[20,x] = F[21,x]
F[21,x] = F[22,x]*F[4,x]
F[22,x] = F[23,x]+F[46,x]
F[23,x] = F[0,x]+F[24,x]+F[37,x]
F[24,x] = F[25,x]*F[4,x]
F[25,x] = F[26,x,1]
F[26,x,k[0]] = F[19,x]+F[27,x,k[0]]+F[34,x,k[0]]+F[36,x,k[0]]
F[27,x,k[0]] = F[28,x,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[31,x]
F[30,x,k[0]] = 1/(-1+k[0])*(F[26,x,k[0]]*k[0]-F[26,x,1])
F[31,x] = -F[25,x]+F[32,x]
F[32,x] = 1/F[4,x]*F[33,x]
F[33,x] = F[9,x]
F[34,x,k[0]] = F[35,x,k[0]]
F[35,x,k[0]] = F[29,x,k[0]]*F[4,x]
F[36,x,k[0]] = F[16,x,k[0]]*F[26,x,k[0]]
F[37,x] = F[38,x]*F[4,x]
F[38,x] = F[39,x,1]
F[39,x,k[0]] = F[0,x]+F[40,x,k[0]]+F[41,x,k[0]]+F[45,x,k[0]]
F[40,x,k[0]] = F[30,x,k[0]]*F[4,x]
F[41,x,k[0]] = F[4,x]*F[42,x,k[0]]
F[42,x,k[0]] = F[43,x,k[0]]
F[43,x,k[0]] = 1/(-1+k[0])*(F[44,x,k[0]]*k[0]-F[44,x,1])
F[44,x,k[0]] = F[39,x,k[0]]
F[45,x,k[0]] = F[16,x,k[0]]*F[39,x,k[0]]
F[46,x] = F[47,x]
F[47,x] = F[48,x]*F[51,x]
F[48,x] = F[1,x]+F[49,x]
F[49,x] = F[50,x]
F[50,x] = F[48,x]^2*F[4,x]
F[51,x] = F[20,x]+F[52,x]
F[52,x] = F[53,x]
F[53,x] = F[4,x]*F[54,x]
F[54,x] = F[55,x]
F[55,x] = F[4,x]*F[56,x]
F[56,x] = 1/F[4,x]*F[57,x]
F[57,x] = F[58,x]
F[58,x] = F[59,x]+F[7,x]+F[82,x]+F[83,x]
F[59,x] = F[4,x]*F[60,x]
F[60,x] = F[61,x,1]
F[61,x,k[0]] = F[62,x,k[0]]+F[64,x,k[0]]+F[65,x,k[0]]+F[66,x,k[0]]+F[7,x]
F[62,x,k[0]] = F[4,x]*F[63,x,k[0]]
F[63,x,k[0]] = 1/(-1+k[0])*(F[61,x,k[0]]*k[0]-F[61,x,1])
F[64,x,k[0]] = F[4,x]*F[63,x,k[0]]
F[65,x,k[0]] = F[16,x,k[0]]*F[61,x,k[0]]
F[66,x,k[0]] = F[67,x,k[0]]
F[67,x,k[0]] = F[4,x]*F[68,x,k[0]]
F[69,x,k[0]] = F[16,x,k[0]]*F[68,x,k[0]]
F[69,x,k[0]] = F[70,x,k[0]]
F[70,x,k[0]] = -k[0]*(F[71,x,1]-F[71,x,k[0]])/(-1+k[0])
F[71,x,k[0]] = F[72,x,k[0]]
F[72,x,k[0]] = F[16,x,k[0]]*F[73,x,k[0]]
F[73,x,k[0]] = F[74,x,k[0]]
F[74,x,k[0]] = F[44,x,k[0]]+F[75,x,k[0]]
F[75,x,k[0]] = F[76,x,k[0]]
F[76,x,k[0]] = F[51,x]*F[77,x,k[0]]
F[77,x,k[0]] = F[78,x,k[0]]
F[78,x,k[0]] = F[1,x]+F[79,x,k[0]]+F[81,x,k[0]]
F[79,x,k[0]] = F[80,x,k[0]]
F[80,x,k[0]] = F[4,x]*F[48,x]*F[78,x,k[0]]
F[81,x,k[0]] = F[16,x,k[0]]*F[78,x,k[0]]
F[82,x] = F[4,x]*F[60,x]
F[83,x] = F[84,x]
F[84,x] = F[4,x]*F[85,x]
F[85,x] = 1/F[4,x]*F[86,x]
F[86,x] = F[87,x]
F[87,x] = F[71,x,1]
F[88,x,k[0]] = F[10,x,k[0]]
F[89,x,k[0]] = F[71,x,k[0]]
F[90,x] = F[4,x]*F[91,x]
F[91,x] = F[18,x,1]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{4}\! \left(x \right) = x
F_{5}\! \left(x \right) = F_{0}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)+F_{8}\! \left(x \right)+F_{90}\! \left(x \right)
F_{7}\! \left(x \right) = 0
F_{8}\! \left(x \right) = F_{4}\! \left(x \right) F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x , 1\right)
F_{10}\! \left(x , y\right) = F_{11}\! \left(x , y\right)+F_{13}\! \left(x , y\right)+F_{15}\! \left(x , y\right)+F_{7}\! \left(x \right)
F_{11}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{12}\! \left(x , y\right) = -\frac{y \left(F_{10}\! \left(x , 1\right)-F_{10}\! \left(x , y\right)\right)}{-1+y}
F_{13}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{14}\! \left(x , y\right) = F_{12}\! \left(x , y\right)
F_{15}\! \left(x , y\right) = F_{16}\! \left(x , y\right) F_{17}\! \left(x , y\right)
F_{16}\! \left(x , y\right) = y x
F_{17}\! \left(x , y\right) = F_{18}\! \left(x , y\right)+F_{89}\! \left(x , y\right)
F_{18}\! \left(x , y\right) = F_{19}\! \left(x \right)+F_{88}\! \left(x , y\right)
F_{19}\! \left(x \right) = F_{0}\! \left(x \right)+F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right) F_{4}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)+F_{46}\! \left(x \right)
F_{23}\! \left(x \right) = F_{0}\! \left(x \right)+F_{24}\! \left(x \right)+F_{37}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right) F_{4}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x , 1\right)
F_{26}\! \left(x , y\right) = F_{19}\! \left(x \right)+F_{27}\! \left(x , y\right)+F_{34}\! \left(x , y\right)+F_{36}\! \left(x , y\right)
F_{27}\! \left(x , y\right) = F_{28}\! \left(x , y\right)
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_{31}\! \left(x \right)
F_{30}\! \left(x , y\right) = -\frac{-F_{26}\! \left(x , y\right) y +F_{26}\! \left(x , 1\right)}{-1+y}
F_{31}\! \left(x \right) = -F_{25}\! \left(x \right)+F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = \frac{F_{33}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{33}\! \left(x \right) = F_{9}\! \left(x \right)
F_{34}\! \left(x , y\right) = F_{35}\! \left(x , y\right)
F_{35}\! \left(x , y\right) = F_{29}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{36}\! \left(x , y\right) = F_{16}\! \left(x , y\right) F_{26}\! \left(x , y\right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right) F_{4}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x , 1\right)
F_{39}\! \left(x , y\right) = F_{0}\! \left(x \right)+F_{40}\! \left(x , y\right)+F_{41}\! \left(x , y\right)+F_{45}\! \left(x , y\right)
F_{40}\! \left(x , y\right) = F_{30}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{41}\! \left(x , y\right) = F_{4}\! \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_{39}\! \left(x , y\right)
F_{45}\! \left(x , y\right) = F_{16}\! \left(x , y\right) F_{39}\! \left(x , y\right)
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right) F_{51}\! \left(x \right)
F_{48}\! \left(x \right) = F_{1}\! \left(x \right)+F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{48} \left(x \right)^{2} F_{4}\! \left(x \right)
F_{51}\! \left(x \right) = F_{20}\! \left(x \right)+F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{4}\! \left(x \right) F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{4}\! \left(x \right) F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = \frac{F_{57}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)+F_{7}\! \left(x \right)+F_{82}\! \left(x \right)+F_{83}\! \left(x \right)
F_{59}\! \left(x \right) = F_{4}\! \left(x \right) F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{61}\! \left(x , 1\right)
F_{61}\! \left(x , y\right) = F_{62}\! \left(x , y\right)+F_{64}\! \left(x , y\right)+F_{65}\! \left(x , y\right)+F_{66}\! \left(x , y\right)+F_{7}\! \left(x \right)
F_{62}\! \left(x , y\right) = F_{4}\! \left(x \right) F_{63}\! \left(x , y\right)
F_{63}\! \left(x , y\right) = -\frac{-y F_{61}\! \left(x , y\right)+F_{61}\! \left(x , 1\right)}{-1+y}
F_{64}\! \left(x , y\right) = F_{4}\! \left(x \right) F_{63}\! \left(x , y\right)
F_{65}\! \left(x , y\right) = F_{16}\! \left(x , y\right) F_{61}\! \left(x , y\right)
F_{66}\! \left(x , y\right) = F_{67}\! \left(x , y\right)
F_{67}\! \left(x , y\right) = F_{4}\! \left(x \right) F_{68}\! \left(x , y\right)
F_{69}\! \left(x , y\right) = F_{16}\! \left(x , y\right) F_{68}\! \left(x , y\right)
F_{69}\! \left(x , y\right) = F_{70}\! \left(x , y\right)
F_{70}\! \left(x , y\right) = -\frac{y \left(F_{71}\! \left(x , 1\right)-F_{71}\! \left(x , y\right)\right)}{-1+y}
F_{71}\! \left(x , y\right) = F_{72}\! \left(x , y\right)
F_{72}\! \left(x , y\right) = F_{16}\! \left(x , y\right) F_{73}\! \left(x , y\right)
F_{73}\! \left(x , y\right) = F_{74}\! \left(x , y\right)
F_{74}\! \left(x , y\right) = F_{44}\! \left(x , y\right)+F_{75}\! \left(x , y\right)
F_{75}\! \left(x , y\right) = F_{76}\! \left(x , y\right)
F_{76}\! \left(x , y\right) = F_{51}\! \left(x \right) F_{77}\! \left(x , y\right)
F_{77}\! \left(x , y\right) = F_{78}\! \left(x , y\right)
F_{78}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{79}\! \left(x , y\right)+F_{81}\! \left(x , y\right)
F_{79}\! \left(x , y\right) = F_{80}\! \left(x , y\right)
F_{80}\! \left(x , y\right) = F_{4}\! \left(x \right) F_{48}\! \left(x \right) F_{78}\! \left(x , y\right)
F_{81}\! \left(x , y\right) = F_{16}\! \left(x , y\right) F_{78}\! \left(x , y\right)
F_{82}\! \left(x \right) = F_{4}\! \left(x \right) F_{60}\! \left(x \right)
F_{83}\! \left(x \right) = F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{4}\! \left(x \right) F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = \frac{F_{86}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{71}\! \left(x , 1\right)
F_{88}\! \left(x , y\right) = F_{10}\! \left(x , y\right)
F_{89}\! \left(x , y\right) = F_{71}\! \left(x , y\right)
F_{90}\! \left(x \right) = F_{4}\! \left(x \right) F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{18}\! \left(x , 1\right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_4(x)*F_5(x))
Eq(F_4(x), x)
Eq(F_5(x), F_0(x) + F_6(x))
Eq(F_6(x), F_7(x) + F_8(x) + F_90(x))
Eq(F_7(x), 0)
Eq(F_8(x), F_4(x)*F_9(x))
Eq(F_9(x), F_10(x, 1))
Eq(F_10(x, k_0), F_11(x, k_0) + F_13(x, k_0) + F_15(x, k_0) + F_7(x))
Eq(F_11(x, k_0), F_12(x, k_0)*F_4(x))
Eq(F_12(x, k_0), -F_10(x, 1) + (k_0*F_10(x, k_0) - F_10(x, 1))/(k_0 - 1))
Eq(F_13(x, k_0), F_14(x, k_0)*F_4(x))
Eq(F_14(x, k_0), F_12(x, k_0))
Eq(F_15(x, k_0), F_16(x, k_0)*F_17(x, k_0))
Eq(F_16(x, k_0), k_0*x)
Eq(F_17(x, k_0), F_18(x, k_0) + F_89(x, k_0))
Eq(F_18(x, k_0), F_19(x) + F_88(x, k_0))
Eq(F_19(x), F_0(x) + F_20(x))
Eq(F_20(x), F_21(x))
Eq(F_21(x), F_22(x)*F_4(x))
Eq(F_22(x), F_23(x) + F_46(x))
Eq(F_23(x), F_0(x) + F_24(x) + F_37(x))
Eq(F_24(x), F_25(x)*F_4(x))
Eq(F_25(x), F_26(x, 1))
Eq(F_26(x, k_0), F_19(x) + F_27(x, k_0) + F_34(x, k_0) + F_36(x, k_0))
Eq(F_27(x, k_0), F_28(x, 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) + F_31(x))
Eq(F_30(x, k_0), (k_0*F_26(x, k_0) - F_26(x, 1))/(k_0 - 1))
Eq(F_31(x), -F_25(x) + F_32(x))
Eq(F_32(x), F_33(x)/F_4(x))
Eq(F_33(x), F_9(x))
Eq(F_34(x, k_0), F_35(x, k_0))
Eq(F_35(x, k_0), F_29(x, k_0)*F_4(x))
Eq(F_36(x, k_0), F_16(x, k_0)*F_26(x, k_0))
Eq(F_37(x), F_38(x)*F_4(x))
Eq(F_38(x), F_39(x, 1))
Eq(F_39(x, k_0), F_0(x) + F_40(x, k_0) + F_41(x, k_0) + F_45(x, k_0))
Eq(F_40(x, k_0), F_30(x, k_0)*F_4(x))
Eq(F_41(x, k_0), F_4(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))/(k_0 - 1))
Eq(F_44(x, k_0), F_39(x, k_0))
Eq(F_45(x, k_0), F_16(x, k_0)*F_39(x, k_0))
Eq(F_46(x), F_47(x))
Eq(F_47(x), F_48(x)*F_51(x))
Eq(F_48(x), F_1(x) + F_49(x))
Eq(F_49(x), F_50(x))
Eq(F_50(x), F_4(x)*F_48(x)**2)
Eq(F_51(x), F_20(x) + F_52(x))
Eq(F_52(x), F_53(x))
Eq(F_53(x), F_4(x)*F_54(x))
Eq(F_54(x), F_55(x))
Eq(F_55(x), F_4(x)*F_56(x))
Eq(F_56(x), F_57(x)/F_4(x))
Eq(F_57(x), F_58(x))
Eq(F_58(x), F_59(x) + F_7(x) + F_82(x) + F_83(x))
Eq(F_59(x), F_4(x)*F_60(x))
Eq(F_60(x), F_61(x, 1))
Eq(F_61(x, k_0), F_62(x, k_0) + F_64(x, k_0) + F_65(x, k_0) + F_66(x, k_0) + F_7(x))
Eq(F_62(x, k_0), F_4(x)*F_63(x, k_0))
Eq(F_63(x, k_0), (k_0*F_61(x, k_0) - F_61(x, 1))/(k_0 - 1))
Eq(F_64(x, k_0), F_4(x)*F_63(x, k_0))
Eq(F_65(x, k_0), F_16(x, k_0)*F_61(x, k_0))
Eq(F_66(x, k_0), F_67(x, k_0))
Eq(F_67(x, k_0), F_4(x)*F_68(x, k_0))
Eq(F_69(x, k_0), F_16(x, k_0)*F_68(x, k_0))
Eq(F_69(x, k_0), F_70(x, k_0))
Eq(F_70(x, k_0), -F_71(x, 1) + (-k_0*F_71(x, k_0) + F_71(x, 1))/(1 - k_0))
Eq(F_71(x, k_0), F_72(x, k_0))
Eq(F_72(x, k_0), F_16(x, k_0)*F_73(x, k_0))
Eq(F_73(x, k_0), F_74(x, k_0))
Eq(F_74(x, k_0), F_44(x, k_0) + F_75(x, k_0))
Eq(F_75(x, k_0), F_76(x, k_0))
Eq(F_76(x, k_0), F_51(x)*F_77(x, k_0))
Eq(F_77(x, k_0), F_78(x, k_0))
Eq(F_78(x, k_0), F_1(x) + F_79(x, k_0) + F_81(x, k_0))
Eq(F_79(x, k_0), F_80(x, k_0))
Eq(F_80(x, k_0), F_4(x)*F_48(x)*F_78(x, k_0))
Eq(F_81(x, k_0), F_16(x, k_0)*F_78(x, k_0))
Eq(F_82(x), F_4(x)*F_60(x))
Eq(F_83(x), F_84(x))
Eq(F_84(x), F_4(x)*F_85(x))
Eq(F_85(x), F_86(x)/F_4(x))
Eq(F_86(x), F_87(x))
Eq(F_87(x), F_71(x, 1))
Eq(F_88(x, k_0), F_10(x, k_0))
Eq(F_89(x, k_0), F_71(x, k_0))
Eq(F_90(x), F_4(x)*F_91(x))
Eq(F_91(x), F_18(x, 1))
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, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 3]]}, {"patt": [0], "pos": [[0, 4]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[1, 3]]}, {"patt": [0], "pos": [[2, 2]]}, {"patt": [0], "pos": [[2, 4]]}, {"patt": [0, 1], "pos": [[1, 4], [1, 4]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 2]]}, {"patt": [1, 0], "pos": [[1, 4], [1, 4]]}, {"patt": [1, 0], "pos": [[2, 3], [2, 3]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 1], [0, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 2], [0, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 2], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [2, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [2, 3], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 2], [0, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 2], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [2, 3], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[2, 1], [2, 3], [2, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 2], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [2, 1], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [2, 3], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [2, 0], [2, 1], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [2, 0], [2, 3], [2, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[2, 0], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[2, 0], [2, 1], [2, 1], [2, 3]]}, {"patt": [0, 2, 1, 3], "pos": [[2, 0], [2, 3], [2, 1], [2, 3]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 0], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 0], [2, 1], [2, 3], [2, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 0], [2, 3], [2, 3], [2, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 0], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 0], [2, 3], [2, 1], [2, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 2], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [2, 1], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [2, 3], [2, 0]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 1]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 3]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[2, 0], [2, 0], [2, 1], [2, 0], [2, 1]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[2, 0], [2, 0], [2, 1], [2, 0], [2, 3]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[2, 0], [2, 0], [2, 3], [2, 0], [2, 3]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 1], [2, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 3], [2, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[2, 0], [2, 0], [2, 1], [2, 1], [2, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[2, 0], [2, 0], [2, 1], [2, 3], [2, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[2, 0], [2, 0], [2, 3], [2, 3], [2, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[2, 0], [2, 0], [2, 1], [2, 1], [2, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[2, 0], [2, 0], [2, 3], [2, 0], [2, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[2, 0], [2, 0], [2, 3], [2, 1], [2, 0]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[2, 0], [2, 1], [2, 0], [2, 1], [2, 0]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[2, 0], [2, 3], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[2, 0], [2, 3], [2, 0], [2, 1], [2, 0]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 1]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 3]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [2, 0], [2, 1], [2, 0], [2, 1]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [2, 0], [2, 1], [2, 0], [2, 3]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [2, 0], [2, 3], [2, 0], [2, 3]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 1]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 3]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[2, 0], [2, 0], [2, 1], [2, 0], [2, 1]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[2, 0], [2, 0], [2, 1], [2, 0], [2, 3]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[2, 0], [2, 0], [2, 3], [2, 0], [2, 3]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 1], [2, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 3], [2, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [2, 0], [2, 1], [2, 1], [2, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [2, 0], [2, 1], [2, 3], [2, 0]]}, {"patt": [1, 0, 3, 4, 2], 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