01234_01243_01324_02134_02143_02314_03124_03214_12034_12043_13024
Counting sequence:
1, 1, 2, 6, 24, 109, 526, 2636, 13579, 71420, 381701, 2066036, 11299461, 62337670, 346464205, 1937945320, 10900494344, 61614552295, 349794980755, 1993593979616, 11402057918055, 65419680401207, 376432901850480, 2171763519063512, 12559974987315263, 72800306675675364, 422836415583043506, 2460600036536625007, 14344349810038722147, 83760576340074197235, 489858168620163713456, 2868999375492662555853, 16826020392327823299554, 98807102274342348383818, 580923193285880673772227, 3419351873324644968724704, 20148213303506856624708907, 118842628047343749167297718, 701662296042831206697066145, 4146514369997371539114475326, 24525499694895238773448829881, 145182453393811444434665769016, 860112321750049520832554796345, 5099473395282623963889866668160, 30255895887353386621645583005986, 179636916221289605768848001788399, 1067257682926421695912691198113463, 6344817770190228780076383859806413, 37742786164410052265665193450125068, 224648307788083647082818360458205909, 1337878924914576875593025195245382566, 7971968759985167041303563909540819282, 47527028011155071214303161361036495695, 283487354355813685869340708496139631598, 1691752446193126763276183642406991551908, 10100492988285006264339361072347596617604, 60331469779925459038786130800445760675541, 360523949677070766233511495039866517230907, 2155295690463886993880546184395170790323595, 12890094133726925206144425064306506600351613, 77121605945191316599914292495104581391788215, 461595242261292419300827408297912106844456533, 2763800320919472314231843878021262303924603018, 16554158967827990612002282014726270088533353674, 99187733635744860057039761956784095633231480822, 594503865096707199813189215161363862457418525159, 3564453484945132800145473696004531261286669348415, 21378077569251034343007081697853422338511043928667, 128256039752250190449243652400182538378171462476436, 769691524962769583699749804639051361232928464475135, 4620422235729071377386136889682582780635177472641922, 27744010372182893408691116344793514075033384337480142, 166638787078854769349986024893933338564388837686510017, 1001149754011965107859744638028336387936198463088470024, 6016376683880540925484763708062559737005774425214275628, 36164384142131393524535012632503593578573898925636197111, 217437464988395586179876514770248929374593252995814198594, 1307652064243509081794691121507786416449460418343918435238, 7865963668057390748512083087832421586854906817867883902230, 47327226114954113540965553558517034798709030753574365766467, 284817794006509182078019617767776555829491060939994831349219, 1714422261913592123901174528344288702493746157183603952030578, 10321928132447473062872961387894386506271356149905468019775166, 62157572036103927498469045930971957201475542907927341049429294, 374382318921956568893806497707125155594460016398940172612078909, 2255395280240665001412615119868424772848363701249184356313447220, 13589832240013747295073736769170892029301176880918595245877521673, 81900720640657543207986592558667961715127378633508106668296301424, 493675666627404418533505823992098299569912630553419555876335409710, 2976283674556308928580400213416417955876986857769631837012769475270, 17946667462654055033498967777595682850663429708755799192579430204710, 108235205834732543402852827383017868792987623470423297741740028005312, 652870304663039020747458891558466543087395767991403081875459812819321, 3938740504463058379487081206094190249453998990802599533393424651252867, 23766126604268225965091606668402431579455814071828724906429916375769376, 143426226142989935722628788109118876436870970428584109950324092861386290, 865698078121616791893860046115468046552653466062321814894703543591236752, 5226015391779135313713834321200193468141656193894553247815343930909583519, 31552947722161410963604560204970898644843327358143676883191522816993784676, 190534193637576244321885029068153831193577795375561921967042656820626488666, 1150716659213845135198257957656772952848104941897743795257253738399711994554
Specification 1
Strategy pack name: point_and_col_placements_tracked_fusion_tracked_component_fusion_symmetries
Tree: http://permpal.com/tree/25919/
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[6,x,1]
F[6,x,k[0]] = F[0,x]+F[7,x,k[0]]
F[7,x,k[0]] = F[11,x,k[0]]+F[8,x]+F[9,x,k[0]]
F[8,x] = 0
F[9,x,k[0]] = F[10,x,k[0]]*F[4,x]
F[10,x,k[0]] = -k[0]*(F[7,x,1]-F[7,x,k[0]])/(-1+k[0])
F[11,x,k[0]] = F[12,x,k[0]]*F[13,x,k[0]]
F[12,x,k[0]] = k[0]*x
F[13,x,k[0]] = F[1,x]+F[14,x,k[0]]+F[198,x,k[0]]+F[203,x,k[0]]
F[14,x,k[0]] = F[15,x,k[0]]*F[4,x]
F[15,x,k[0]] = F[16,x,k[0]]+F[17,x,k[0]]
F[16,x,k[0]] = 1/(-1+k[0])*(F[6,x,k[0]]*k[0]-F[6,x,1])
F[17,x,k[0]] = k[0]*F[18,x,k[0]]
F[18,x,k[0]] = F[19,x,k[0]]
F[19,x,k[0]] = F[20,x,k[0]]*F[4,x]
F[20,x,k[0]] = F[21,x]+F[24,x,k[0]]
F[21,x] = F[22,x,1]
F[23,x,k[0]] = F[12,x,k[0]]*F[22,x,k[0]]
F[23,x,k[0]] = F[7,x,k[0]]
F[24,x,k[0]] = F[25,x,k[0]]
F[25,x,k[0]] = F[26,x,k[0]]+F[30,x,k[0]]
F[26,x,k[0]] = -k[0]*(F[27,x,1]-F[27,x,k[0]])/(-1+k[0])
F[27,x,k[0]] = F[28,x,k[0]]+F[7,x,k[0]]
F[28,x,k[0]] = F[29,x,k[0]]
F[29,x,k[0]] = F[25,x,k[0]]*F[4,x]
F[31,x,k[0]] = F[180,x]+F[30,x,k[0]]
F[31,x,k[0]] = F[32,x,k[0]]
F[32,x,k[0]] = F[33,x,k[0]]*F[4,x]
F[33,x,k[0]] = F[34,x]+F[60,x,k[0]]
F[34,x] = F[35,x,1]
F[35,x,k[0]] = F[36,x,k[0]]+F[58,x,k[0]]
F[36,x,k[0]] = F[37,x,k[0]]+F[6,x,k[0]]
F[37,x,k[0]] = F[38,x,k[0]]
F[38,x,k[0]] = F[39,x,k[0]]*F[4,x]
F[39,x,k[0]] = F[40,x,k[0]]+F[47,x,k[0]]
F[40,x,k[0]] = F[41,x]*F[42,x,k[0]]
F[41,x] = F[1,x]+F[4,x]
F[42,x,k[0]] = F[37,x,k[0]]+F[43,x,k[0]]
F[43,x,k[0]] = F[27,x,k[0]]+F[44,x]
F[44,x] = F[0,x]+F[45,x]
F[45,x] = F[46,x]
F[46,x] = F[21,x]*F[4,x]
F[48,x,k[0]] = F[47,x,k[0]]+F[53,x,k[0]]
F[49,x,k[0]] = F[12,x,k[0]]*F[48,x,k[0]]
F[49,x,k[0]] = F[50,x,k[0]]
F[22,x,k[0]] = F[50,x,k[0]]+F[51,x,k[0]]+F[6,x,k[0]]
F[51,x,k[0]] = F[4,x]*F[52,x,k[0]]
F[52,x,k[0]] = 1/(-1+k[0])*(F[22,x,k[0]]*k[0]-F[22,x,1])
F[53,x,k[0]] = F[54,x,k[0]]*F[55,x,k[0]]
F[54,x,k[0]] = F[1,x]+F[12,x,k[0]]
F[55,x,k[0]] = F[43,x,k[0]]+F[56,x,k[0]]
F[56,x,k[0]] = F[57,x,k[0]]
F[57,x,k[0]] = F[12,x,k[0]]*F[48,x,k[0]]
F[58,x,k[0]] = F[4,x]*F[59,x,k[0]]
F[59,x,k[0]] = 1/(-1+k[0])*(F[35,x,k[0]]*k[0]-F[35,x,1])
F[60,x,k[0]] = F[61,x,k[0]]
F[61,x,k[0]] = F[12,x,k[0]]*F[62,x,k[0]]*F[73,x,k[0]]
F[62,x,k[0]] = F[106,x,k[0]]+F[63,x]
F[63,x] = -F[105,x]+F[64,x]
F[64,x] = 1/F[4,x]/F[91,x]*F[65,x]
F[65,x] = F[66,x]
F[66,x] = -F[34,x]+F[67,x]
F[67,x] = F[68,x]+F[84,x]
F[68,x] = F[69,x,1]
F[69,x,k[0]] = (F[70,x,k[0]]*k[0]-F[70,x,1])/(-1+k[0])
F[70,x,k[0]] = F[5,x]+F[71,x,k[0]]
F[71,x,k[0]] = F[72,x,k[0]]
F[72,x,k[0]] = F[12,x,k[0]]*F[73,x,k[0]]*F[80,x,k[0]]
F[73,x,k[0]] = F[1,x]+F[74,x,k[0]]
F[74,x,k[0]] = F[75,x,k[0]]
F[75,x,k[0]] = F[12,x,k[0]]*F[76,x,k[0]]
F[76,x,k[0]] = F[54,x,k[0]]+F[77,x,k[0]]
F[77,x,k[0]] = F[74,x,k[0]]+F[78,x,k[0]]
F[78,x,k[0]] = F[79,x,k[0]]
F[79,x,k[0]] = F[12,x,k[0]]*F[74,x,k[0]]
F[80,x,k[0]] = F[81,x,k[0]]+F[83,x]
F[81,x,k[0]] = F[54,x,k[0]]*F[82,x]
F[82,x] = F[43,x,1]
F[83,x] = F[47,x,1]
F[84,x] = F[4,x]*F[85,x]
F[85,x] = F[86,x,1]
F[86,x,k[0]] = 1/(-1+k[0])*(F[87,x,k[0]]*k[0]-F[87,x,1])
F[87,x,k[0]] = F[103,x,k[0]]+F[88,x,k[0]]
F[88,x,k[0]] = F[36,x,k[0]]+F[89,x,k[0]]
F[89,x,k[0]] = F[90,x,k[0]]
F[90,x,k[0]] = F[4,x]*F[91,x]*F[98,x,k[0]]
F[91,x] = F[1,x]+F[92,x]
F[92,x] = F[93,x]
F[93,x] = F[4,x]*F[94,x]
F[94,x] = F[41,x]+F[95,x]
F[95,x] = F[92,x]+F[96,x]
F[96,x] = F[97,x]
F[97,x] = F[4,x]*F[92,x]
F[98,x,k[0]] = F[39,x,k[0]]+F[99,x,k[0]]
F[99,x,k[0]] = 3*F[8,x]+F[100,x,k[0]]+F[102,x,k[0]]
F[100,x,k[0]] = F[101,x,k[0]]
F[101,x,k[0]] = F[18,x,k[0]]*F[4,x]
F[102,x,k[0]] = F[36,x,k[0]]*F[4,x]
F[103,x,k[0]] = F[104,x,k[0]]*F[4,x]
F[104,x,k[0]] = 1/(-1+k[0])*(F[87,x,k[0]]*k[0]-F[87,x,1])
F[105,x] = F[106,x,1]
F[107,x,k[0]] = F[106,x,k[0]]*F[4,x]
F[108,x,k[0]] = F[107,x,k[0]]+F[193,x,k[0]]
F[109,x,k[0]] = F[108,x,k[0]]*F[4,x]
F[109,x,k[0]] = F[110,x,k[0]]
F[111,x,k[0]] = F[110,x,k[0]]+F[138,x,k[0]]
F[111,x,k[0]] = F[112,x,k[0]]
F[112,x,k[0]] = F[113,x,k[0]]*F[12,x,k[0]]
F[113,x,k[0]] = F[114,x,k[0]]+F[183,x,k[0]]
F[115,x,k[0]] = 1/(-1+k[0])*(F[114,x,k[0]]*k[0]-F[114,x,1])
F[116,x,k[0]] = F[115,x,k[0]]+F[191,x]
F[117,x,k[0]] = F[116,x,k[0]]+F[189,x,k[0]]
F[118,x,k[0]] = F[117,x,k[0]]+F[191,x]
F[119,x,k[0]] = F[118,x,k[0]]+F[189,x,k[0]]
F[120,x,k[0]] = F[119,x,k[0]]*F[4,x]
F[120,x,k[0]] = F[121,x,k[0]]
F[52,x,k[0]] = F[121,x,k[0]]+F[122,x,k[0]]+F[22,x,k[0]]
F[122,x,k[0]] = F[123,x,k[0]]*F[4,x]
F[123,x,k[0]] = 1/(-1+k[0])*(F[124,x,k[0]]*k[0]-F[124,x,1])
F[125,x,k[0]] = 1/(-1+k[0])*(F[124,x,k[0]]*k[0]-F[124,x,1])
F[126,x,k[0]] = F[12,x,k[0]]*F[125,x,k[0]]
F[127,x,k[0]] = F[126,x,k[0]]+F[128,x,k[0]]+F[21,x]
F[127,x,k[0]] = 1/(-1+k[0])*(F[22,x,k[0]]*k[0]-F[22,x,1])
F[128,x,k[0]] = F[129,x,k[0]]
F[129,x,k[0]] = F[12,x,k[0]]*F[130,x,k[0]]
F[130,x,k[0]] = F[131,x,k[0]]+F[187,x,k[0]]
F[131,x,k[0]] = F[132,x,k[0]]+F[183,x,k[0]]
F[132,x,k[0]] = F[133,x,k[0]]+F[183,x,k[0]]
F[133,x,k[0]] = (F[134,x,k[0]]*k[0]-F[134,x,1])/(-1+k[0])
F[134,x,k[0]] = F[135,x,k[0]]+F[140,x,k[0]]
F[135,x,k[0]] = F[136,x,k[0]]*F[41,x]
F[137,x,k[0]] = F[12,x,k[0]]*F[136,x,k[0]]*F[54,x,k[0]]
F[137,x,k[0]] = F[138,x,k[0]]
F[138,x,k[0]] = F[139,x,k[0]]
F[139,x,k[0]] = F[12,x,k[0]]*F[44,x]*F[54,x,k[0]]*F[73,x,k[0]]
F[140,x,k[0]] = F[141,x,k[0]]
F[141,x,k[0]] = F[142,x,k[0]]*F[4,x]
F[142,x,k[0]] = F[143,x,k[0]]+F[182,x]
F[143,x,k[0]] = F[144,x,k[0]]+F[179,x]
F[144,x,k[0]] = F[145,x,k[0]]+F[160,x]
F[145,x,k[0]] = F[146,x,k[0]]+F[158,x,k[0]]
F[146,x,k[0]] = F[147,x]+F[155,x,k[0]]
F[147,x] = -F[154,x]+F[148,x]
F[148,x] = F[149,x,1]
F[149,x,k[0]] = F[150,x,k[0]]+F[36,x,k[0]]
F[150,x,k[0]] = F[151,x,k[0]]
F[151,x,k[0]] = F[152,x,k[0]]*F[4,x]
F[152,x,k[0]] = F[153,x,k[0]]+F[31,x,k[0]]
F[153,x,k[0]] = 1/(-1+k[0])*(F[149,x,k[0]]*k[0]-F[149,x,1])
F[154,x] = F[155,x,1]
F[156,x,k[0]] = -k[0]*(F[155,x,1]-F[155,x,k[0]])/(-1+k[0])
F[157,x,k[0]] = F[156,x,k[0]]*F[4,x]
F[25,x,k[0]] = F[157,x,k[0]]+F[26,x,k[0]]
F[158,x,k[0]] = F[159,x,k[0]]*F[4,x]
F[33,x,k[0]] = 1/(-1+k[0])*(F[159,x,k[0]]*k[0]-F[159,x,1])
F[160,x] = F[161,x,1]
F[162,x,k[0]] = F[161,x,k[0]]+F[177,x,k[0]]
F[162,x,k[0]] = F[163,x,k[0]]+F[40,x,k[0]]
F[163,x,k[0]] = F[164,x,k[0]]
F[164,x,k[0]] = F[165,x,k[0]]*F[4,x]
F[165,x,k[0]] = F[166,x,k[0]]+F[176,x,k[0]]
F[166,x,k[0]] = F[167,x,k[0]]+F[168,x,k[0]]
F[167,x,k[0]] = 1/(-1+k[0])*(F[162,x,k[0]]*k[0]-F[162,x,1])
F[168,x,k[0]] = F[169,x]+F[31,x,k[0]]
F[169,x] = F[170,x]
F[170,x] = F[171,x]*F[4,x]
F[171,x] = -F[34,x]+F[172,x]
F[172,x] = F[173,x,1]
F[173,x,k[0]] = F[174,x,k[0]]+F[42,x,k[0]]
F[174,x,k[0]] = F[175,x,k[0]]*F[4,x]
F[175,x,k[0]] = 1/(-1+k[0])*(F[173,x,k[0]]*k[0]-F[173,x,1])
F[176,x,k[0]] = F[168,x,k[0]]
F[177,x,k[0]] = F[149,x,k[0]]+F[178,x,k[0]]
F[178,x,k[0]] = F[35,x,k[0]]*F[4,x]
F[179,x] = F[169,x]+F[180,x]
F[180,x] = F[181,x]
F[181,x] = F[34,x]*F[4,x]
F[182,x] = F[179,x]
F[183,x,k[0]] = F[12,x,k[0]]*F[184,x,k[0]]
F[184,x,k[0]] = F[136,x,k[0]]+F[185,x,k[0]]
F[185,x,k[0]] = F[186,x,k[0]]*F[4,x]
F[186,x,k[0]] = F[159,x,k[0]]+F[171,x]
F[187,x,k[0]] = F[188,x,k[0]]*F[4,x]
F[188,x,k[0]] = 1/(-1+k[0])*(F[184,x,k[0]]*k[0]-F[184,x,1])
F[189,x,k[0]] = F[12,x,k[0]]*F[190,x,k[0]]
F[190,x,k[0]] = 1/(-1+k[0])*(F[184,x,k[0]]*k[0]-F[184,x,1])
F[191,x] = F[192,x]*F[4,x]
F[192,x] = F[184,x,1]
F[193,x,k[0]] = F[194,x,k[0]]
F[194,x,k[0]] = F[12,x,k[0]]*F[195,x,k[0]]
F[196,x,k[0]] = F[182,x]+F[195,x,k[0]]
F[197,x,k[0]] = F[12,x,k[0]]*F[196,x,k[0]]
F[197,x,k[0]] = F[108,x,k[0]]
F[198,x,k[0]] = F[12,x,k[0]]*F[199,x,k[0]]
F[199,x,k[0]] = F[1,x]+F[198,x,k[0]]+F[200,x,k[0]]+F[203,x,k[0]]+F[204,x,k[0]]
F[200,x,k[0]] = F[201,x,k[0]]*F[4,x]
F[201,x,k[0]] = F[15,x,k[0]]+F[202,x,k[0]]
F[202,x,k[0]] = F[17,x,k[0]]
F[203,x,k[0]] = F[12,x,k[0]]*F[199,x,k[0]]
F[204,x,k[0]] = F[12,x,k[0]]*F[13,x,k[0]]
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_{6}\! \left(x , 1\right)
F_{6}\! \left(x , y\right) = F_{0}\! \left(x \right)+F_{7}\! \left(x , y\right)
F_{7}\! \left(x , y\right) = F_{11}\! \left(x , y\right)+F_{8}\! \left(x \right)+F_{9}\! \left(x , y\right)
F_{8}\! \left(x \right) = 0
F_{9}\! \left(x , y\right) = F_{10}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{10}\! \left(x , y\right) = -\frac{y \left(F_{7}\! \left(x , 1\right)-F_{7}\! \left(x , y\right)\right)}{-1+y}
F_{11}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{13}\! \left(x , y\right)
F_{12}\! \left(x , y\right) = y x
F_{13}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{14}\! \left(x , y\right)+F_{198}\! \left(x , y\right)+F_{203}\! \left(x , y\right)
F_{14}\! \left(x , y\right) = F_{15}\! \left(x , y\right) F_{4}\! \left(x \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) = -\frac{-F_{6}\! \left(x , y\right) y +F_{6}\! \left(x , 1\right)}{-1+y}
F_{17}\! \left(x , y\right) = y F_{18}\! \left(x , y\right)
F_{18}\! \left(x , y\right) = F_{19}\! \left(x , y\right)
F_{19}\! \left(x , y\right) = F_{20}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{20}\! \left(x , y\right) = F_{21}\! \left(x \right)+F_{24}\! \left(x , y\right)
F_{21}\! \left(x \right) = F_{22}\! \left(x , 1\right)
F_{23}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{22}\! \left(x , y\right)
F_{23}\! \left(x , y\right) = F_{7}\! \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_{30}\! \left(x , y\right)
F_{26}\! \left(x , y\right) = -\frac{y \left(F_{27}\! \left(x , 1\right)-F_{27}\! \left(x , y\right)\right)}{-1+y}
F_{27}\! \left(x , y\right) = F_{28}\! \left(x , y\right)+F_{7}\! \left(x , y\right)
F_{28}\! \left(x , y\right) = F_{29}\! \left(x , y\right)
F_{29}\! \left(x , y\right) = F_{25}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{31}\! \left(x , y\right) = F_{180}\! \left(x \right)+F_{30}\! \left(x , y\right)
F_{31}\! \left(x , y\right) = F_{32}\! \left(x , y\right)
F_{32}\! \left(x , y\right) = F_{33}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{33}\! \left(x , y\right) = F_{34}\! \left(x \right)+F_{60}\! \left(x , y\right)
F_{34}\! \left(x \right) = F_{35}\! \left(x , 1\right)
F_{35}\! \left(x , y\right) = F_{36}\! \left(x , y\right)+F_{58}\! \left(x , y\right)
F_{36}\! \left(x , y\right) = F_{37}\! \left(x , y\right)+F_{6}\! \left(x , y\right)
F_{37}\! \left(x , y\right) = F_{38}\! \left(x , y\right)
F_{38}\! \left(x , y\right) = F_{39}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{39}\! \left(x , y\right) = F_{40}\! \left(x , y\right)+F_{47}\! \left(x , y\right)
F_{40}\! \left(x , y\right) = F_{41}\! \left(x \right) F_{42}\! \left(x , y\right)
F_{41}\! \left(x \right) = F_{1}\! \left(x \right)+F_{4}\! \left(x \right)
F_{42}\! \left(x , y\right) = F_{37}\! \left(x , y\right)+F_{43}\! \left(x , y\right)
F_{43}\! \left(x , y\right) = F_{27}\! \left(x , y\right)+F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{0}\! \left(x \right)+F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{21}\! \left(x \right) F_{4}\! \left(x \right)
F_{48}\! \left(x , y\right) = F_{47}\! \left(x , y\right)+F_{53}\! \left(x , y\right)
F_{49}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{48}\! \left(x , y\right)
F_{49}\! \left(x , y\right) = F_{50}\! \left(x , y\right)
F_{22}\! \left(x , y\right) = F_{50}\! \left(x , y\right)+F_{51}\! \left(x , y\right)+F_{6}\! \left(x , y\right)
F_{51}\! \left(x , y\right) = F_{4}\! \left(x \right) F_{52}\! \left(x , y\right)
F_{52}\! \left(x , y\right) = -\frac{-F_{22}\! \left(x , y\right) y +F_{22}\! \left(x , 1\right)}{-1+y}
F_{53}\! \left(x , y\right) = F_{54}\! \left(x , y\right) F_{55}\! \left(x , y\right)
F_{54}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{12}\! \left(x , y\right)
F_{55}\! \left(x , y\right) = F_{43}\! \left(x , y\right)+F_{56}\! \left(x , y\right)
F_{56}\! \left(x , y\right) = F_{57}\! \left(x , y\right)
F_{57}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{48}\! \left(x , y\right)
F_{58}\! \left(x , y\right) = F_{4}\! \left(x \right) F_{59}\! \left(x , y\right)
F_{59}\! \left(x , y\right) = -\frac{-F_{35}\! \left(x , y\right) y +F_{35}\! \left(x , 1\right)}{-1+y}
F_{60}\! \left(x , y\right) = F_{61}\! \left(x , y\right)
F_{61}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{62}\! \left(x , y\right) F_{73}\! \left(x , y\right)
F_{62}\! \left(x , y\right) = F_{106}\! \left(x , y\right)+F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = -F_{105}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = \frac{F_{65}\! \left(x \right)}{F_{4}\! \left(x \right) F_{91}\! \left(x \right)}
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = -F_{34}\! \left(x \right)+F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)+F_{84}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x , 1\right)
F_{69}\! \left(x , y\right) = -\frac{-F_{70}\! \left(x , y\right) y +F_{70}\! \left(x , 1\right)}{-1+y}
F_{70}\! \left(x , y\right) = F_{5}\! \left(x \right)+F_{71}\! \left(x , y\right)
F_{71}\! \left(x , y\right) = F_{72}\! \left(x , y\right)
F_{72}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{73}\! \left(x , y\right) F_{80}\! \left(x , y\right)
F_{73}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{74}\! \left(x , y\right)
F_{74}\! \left(x , y\right) = F_{75}\! \left(x , y\right)
F_{75}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{76}\! \left(x , y\right)
F_{76}\! \left(x , y\right) = F_{54}\! \left(x , y\right)+F_{77}\! \left(x , y\right)
F_{77}\! \left(x , y\right) = F_{74}\! \left(x , y\right)+F_{78}\! \left(x , y\right)
F_{78}\! \left(x , y\right) = F_{79}\! \left(x , y\right)
F_{79}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{74}\! \left(x , y\right)
F_{80}\! \left(x , y\right) = F_{81}\! \left(x , y\right)+F_{83}\! \left(x \right)
F_{81}\! \left(x , y\right) = F_{54}\! \left(x , y\right) F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{43}\! \left(x , 1\right)
F_{83}\! \left(x \right) = F_{47}\! \left(x , 1\right)
F_{84}\! \left(x \right) = F_{4}\! \left(x \right) F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{86}\! \left(x , 1\right)
F_{86}\! \left(x , y\right) = -\frac{-F_{87}\! \left(x , y\right) y +F_{87}\! \left(x , 1\right)}{-1+y}
F_{87}\! \left(x , y\right) = F_{103}\! \left(x , y\right)+F_{88}\! \left(x , y\right)
F_{88}\! \left(x , y\right) = F_{36}\! \left(x , y\right)+F_{89}\! \left(x , y\right)
F_{89}\! \left(x , y\right) = F_{90}\! \left(x , y\right)
F_{90}\! \left(x , y\right) = F_{4}\! \left(x \right) F_{91}\! \left(x \right) F_{98}\! \left(x , y\right)
F_{91}\! \left(x \right) = F_{1}\! \left(x \right)+F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{4}\! \left(x \right) F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{41}\! \left(x \right)+F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{92}\! \left(x \right)+F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{4}\! \left(x \right) F_{92}\! \left(x \right)
F_{98}\! \left(x , y\right) = F_{39}\! \left(x , y\right)+F_{99}\! \left(x , y\right)
F_{99}\! \left(x , y\right) = 3 F_{8}\! \left(x \right)+F_{100}\! \left(x , y\right)+F_{102}\! \left(x , y\right)
F_{100}\! \left(x , y\right) = F_{101}\! \left(x , y\right)
F_{101}\! \left(x , y\right) = F_{18}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{102}\! \left(x , y\right) = F_{36}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{103}\! \left(x , y\right) = F_{104}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{104}\! \left(x , y\right) = -\frac{-F_{87}\! \left(x , y\right) y +F_{87}\! \left(x , 1\right)}{-1+y}
F_{105}\! \left(x \right) = F_{106}\! \left(x , 1\right)
F_{107}\! \left(x , y\right) = F_{106}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{108}\! \left(x , y\right) = F_{107}\! \left(x , y\right)+F_{193}\! \left(x , y\right)
F_{109}\! \left(x , y\right) = F_{108}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{109}\! \left(x , y\right) = F_{110}\! \left(x , y\right)
F_{111}\! \left(x , y\right) = F_{110}\! \left(x , y\right)+F_{138}\! \left(x , y\right)
F_{111}\! \left(x , y\right) = F_{112}\! \left(x , y\right)
F_{112}\! \left(x , y\right) = F_{113}\! \left(x , y\right) F_{12}\! \left(x , y\right)
F_{113}\! \left(x , y\right) = F_{114}\! \left(x , y\right)+F_{183}\! \left(x , y\right)
F_{115}\! \left(x , y\right) = -\frac{-F_{114}\! \left(x , y\right) y +F_{114}\! \left(x , 1\right)}{-1+y}
F_{116}\! \left(x , y\right) = F_{115}\! \left(x , y\right)+F_{191}\! \left(x \right)
F_{117}\! \left(x , y\right) = F_{116}\! \left(x , y\right)+F_{189}\! \left(x , y\right)
F_{118}\! \left(x , y\right) = F_{117}\! \left(x , y\right)+F_{191}\! \left(x \right)
F_{119}\! \left(x , y\right) = F_{118}\! \left(x , y\right)+F_{189}\! \left(x , y\right)
F_{120}\! \left(x , y\right) = F_{119}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{120}\! \left(x , y\right) = F_{121}\! \left(x , y\right)
F_{52}\! \left(x , y\right) = F_{121}\! \left(x , y\right)+F_{122}\! \left(x , y\right)+F_{22}\! \left(x , y\right)
F_{122}\! \left(x , y\right) = F_{123}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{123}\! \left(x , y\right) = -\frac{-F_{124}\! \left(x , y\right) y +F_{124}\! \left(x , 1\right)}{-1+y}
F_{125}\! \left(x , y\right) = -\frac{-F_{124}\! \left(x , y\right) y +F_{124}\! \left(x , 1\right)}{-1+y}
F_{126}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{125}\! \left(x , y\right)
F_{127}\! \left(x , y\right) = F_{126}\! \left(x , y\right)+F_{128}\! \left(x , y\right)+F_{21}\! \left(x \right)
F_{127}\! \left(x , y\right) = -\frac{-F_{22}\! \left(x , y\right) y +F_{22}\! \left(x , 1\right)}{-1+y}
F_{128}\! \left(x , y\right) = F_{129}\! \left(x , y\right)
F_{129}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{130}\! \left(x , y\right)
F_{130}\! \left(x , y\right) = F_{131}\! \left(x , y\right)+F_{187}\! \left(x , y\right)
F_{131}\! \left(x , y\right) = F_{132}\! \left(x , y\right)+F_{183}\! \left(x , y\right)
F_{132}\! \left(x , y\right) = F_{133}\! \left(x , y\right)+F_{183}\! \left(x , y\right)
F_{133}\! \left(x , y\right) = -\frac{-F_{134}\! \left(x , y\right) y +F_{134}\! \left(x , 1\right)}{-1+y}
F_{134}\! \left(x , y\right) = F_{135}\! \left(x , y\right)+F_{140}\! \left(x , y\right)
F_{135}\! \left(x , y\right) = F_{136}\! \left(x , y\right) F_{41}\! \left(x \right)
F_{137}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{136}\! \left(x , y\right) F_{54}\! \left(x , y\right)
F_{137}\! \left(x , y\right) = F_{138}\! \left(x , y\right)
F_{138}\! \left(x , y\right) = F_{139}\! \left(x , y\right)
F_{139}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{44}\! \left(x \right) F_{54}\! \left(x , y\right) F_{73}\! \left(x , y\right)
F_{140}\! \left(x , y\right) = F_{141}\! \left(x , y\right)
F_{141}\! \left(x , y\right) = F_{142}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{142}\! \left(x , y\right) = F_{143}\! \left(x , y\right)+F_{182}\! \left(x \right)
F_{143}\! \left(x , y\right) = F_{144}\! \left(x , y\right)+F_{179}\! \left(x \right)
F_{144}\! \left(x , y\right) = F_{145}\! \left(x , y\right)+F_{160}\! \left(x \right)
F_{145}\! \left(x , y\right) = F_{146}\! \left(x , y\right)+F_{158}\! \left(x , y\right)
F_{146}\! \left(x , y\right) = F_{147}\! \left(x \right)+F_{155}\! \left(x , y\right)
F_{147}\! \left(x \right) = -F_{154}\! \left(x \right)+F_{148}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x , 1\right)
F_{149}\! \left(x , y\right) = F_{150}\! \left(x , y\right)+F_{36}\! \left(x , y\right)
F_{150}\! \left(x , y\right) = F_{151}\! \left(x , y\right)
F_{151}\! \left(x , y\right) = F_{152}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{152}\! \left(x , y\right) = F_{153}\! \left(x , y\right)+F_{31}\! \left(x , y\right)
F_{153}\! \left(x , y\right) = -\frac{-F_{149}\! \left(x , y\right) y +F_{149}\! \left(x , 1\right)}{-1+y}
F_{154}\! \left(x \right) = F_{155}\! \left(x , 1\right)
F_{156}\! \left(x , y\right) = -\frac{y \left(F_{155}\! \left(x , 1\right)-F_{155}\! \left(x , y\right)\right)}{-1+y}
F_{157}\! \left(x , y\right) = F_{156}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{25}\! \left(x , y\right) = F_{157}\! \left(x , y\right)+F_{26}\! \left(x , y\right)
F_{158}\! \left(x , y\right) = F_{159}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{33}\! \left(x , y\right) = -\frac{-F_{159}\! \left(x , y\right) y +F_{159}\! \left(x , 1\right)}{-1+y}
F_{160}\! \left(x \right) = F_{161}\! \left(x , 1\right)
F_{162}\! \left(x , y\right) = F_{161}\! \left(x , y\right)+F_{177}\! \left(x , y\right)
F_{162}\! \left(x , y\right) = F_{163}\! \left(x , y\right)+F_{40}\! \left(x , y\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_{4}\! \left(x \right)
F_{165}\! \left(x , y\right) = F_{166}\! \left(x , y\right)+F_{176}\! \left(x , y\right)
F_{166}\! \left(x , y\right) = F_{167}\! \left(x , y\right)+F_{168}\! \left(x , y\right)
F_{167}\! \left(x , y\right) = -\frac{-F_{162}\! \left(x , y\right) y +F_{162}\! \left(x , 1\right)}{-1+y}
F_{168}\! \left(x , y\right) = F_{169}\! \left(x \right)+F_{31}\! \left(x , y\right)
F_{169}\! \left(x \right) = F_{170}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right) F_{4}\! \left(x \right)
F_{171}\! \left(x \right) = -F_{34}\! \left(x \right)+F_{172}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x , 1\right)
F_{173}\! \left(x , y\right) = F_{174}\! \left(x , y\right)+F_{42}\! \left(x , y\right)
F_{174}\! \left(x , y\right) = F_{175}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{175}\! \left(x , y\right) = -\frac{-F_{173}\! \left(x , y\right) y +F_{173}\! \left(x , 1\right)}{-1+y}
F_{176}\! \left(x , y\right) = F_{168}\! \left(x , y\right)
F_{177}\! \left(x , y\right) = F_{149}\! \left(x , y\right)+F_{178}\! \left(x , y\right)
F_{178}\! \left(x , y\right) = F_{35}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{179}\! \left(x \right) = F_{169}\! \left(x \right)+F_{180}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right)
F_{181}\! \left(x \right) = F_{34}\! \left(x \right) F_{4}\! \left(x \right)
F_{182}\! \left(x \right) = F_{179}\! \left(x \right)
F_{183}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{184}\! \left(x , y\right)
F_{184}\! \left(x , y\right) = F_{136}\! \left(x , y\right)+F_{185}\! \left(x , y\right)
F_{185}\! \left(x , y\right) = F_{186}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{186}\! \left(x , y\right) = F_{159}\! \left(x , y\right)+F_{171}\! \left(x \right)
F_{187}\! \left(x , y\right) = F_{188}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{188}\! \left(x , y\right) = -\frac{-y F_{184}\! \left(x , y\right)+F_{184}\! \left(x , 1\right)}{-1+y}
F_{189}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{190}\! \left(x , y\right)
F_{190}\! \left(x , y\right) = -\frac{-y F_{184}\! \left(x , y\right)+F_{184}\! \left(x , 1\right)}{-1+y}
F_{191}\! \left(x \right) = F_{192}\! \left(x \right) F_{4}\! \left(x \right)
F_{192}\! \left(x \right) = F_{184}\! \left(x , 1\right)
F_{193}\! \left(x , y\right) = F_{194}\! \left(x , y\right)
F_{194}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{195}\! \left(x , y\right)
F_{196}\! \left(x , y\right) = F_{182}\! \left(x \right)+F_{195}\! \left(x , y\right)
F_{197}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{196}\! \left(x , y\right)
F_{197}\! \left(x , y\right) = F_{108}\! \left(x , y\right)
F_{198}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{199}\! \left(x , y\right)
F_{199}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{198}\! \left(x , y\right)+F_{200}\! \left(x , y\right)+F_{203}\! \left(x , y\right)+F_{204}\! \left(x , y\right)
F_{200}\! \left(x , y\right) = F_{201}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{201}\! \left(x , y\right) = F_{15}\! \left(x , y\right)+F_{202}\! \left(x , y\right)
F_{202}\! \left(x , y\right) = F_{17}\! \left(x , y\right)
F_{203}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{199}\! \left(x , y\right)
F_{204}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{13}\! \left(x , y\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_6(x, 1))
Eq(F_6(x, k_0), F_0(x) + F_7(x, k_0))
Eq(F_7(x, k_0), F_11(x, k_0) + F_8(x) + F_9(x, k_0))
Eq(F_8(x), 0)
Eq(F_9(x, k_0), F_10(x, k_0)*F_4(x))
Eq(F_10(x, k_0), -F_7(x, 1) + (k_0*F_7(x, k_0) - F_7(x, 1))/(k_0 - 1))
Eq(F_11(x, k_0), F_12(x, k_0)*F_13(x, k_0))
Eq(F_12(x, k_0), k_0*x)
Eq(F_13(x, k_0), F_1(x) + F_14(x, k_0) + F_198(x, k_0) + F_203(x, k_0))
Eq(F_14(x, k_0), F_15(x, k_0)*F_4(x))
Eq(F_15(x, k_0), F_16(x, k_0) + F_17(x, k_0))
Eq(F_16(x, k_0), (k_0*F_6(x, k_0) - F_6(x, 1))/(k_0 - 1))
Eq(F_17(x, k_0), k_0*F_18(x, k_0))
Eq(F_18(x, k_0), F_19(x, k_0))
Eq(F_19(x, k_0), F_20(x, k_0)*F_4(x))
Eq(F_20(x, k_0), F_21(x) + F_24(x, k_0))
Eq(F_21(x), F_22(x, 1))
Eq(F_23(x, k_0), F_12(x, k_0)*F_22(x, k_0))
Eq(F_23(x, k_0), F_7(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_30(x, k_0))
Eq(F_26(x, k_0), -F_27(x, 1) + (k_0*F_27(x, k_0) - F_27(x, 1))/(k_0 - 1))
Eq(F_27(x, k_0), F_28(x, k_0) + F_7(x, k_0))
Eq(F_28(x, k_0), F_29(x, k_0))
Eq(F_29(x, k_0), F_25(x, k_0)*F_4(x))
Eq(F_31(x, k_0), F_180(x) + F_30(x, k_0))
Eq(F_31(x, k_0), F_32(x, k_0))
Eq(F_32(x, k_0), F_33(x, k_0)*F_4(x))
Eq(F_33(x, k_0), F_34(x) + F_60(x, k_0))
Eq(F_34(x), F_35(x, 1))
Eq(F_35(x, k_0), F_36(x, k_0) + F_58(x, k_0))
Eq(F_36(x, k_0), F_37(x, k_0) + F_6(x, k_0))
Eq(F_37(x, k_0), F_38(x, k_0))
Eq(F_38(x, k_0), F_39(x, k_0)*F_4(x))
Eq(F_39(x, k_0), F_40(x, k_0) + F_47(x, k_0))
Eq(F_40(x, k_0), F_41(x)*F_42(x, k_0))
Eq(F_41(x), F_1(x) + F_4(x))
Eq(F_42(x, k_0), F_37(x, k_0) + F_43(x, k_0))
Eq(F_43(x, k_0), F_27(x, k_0) + F_44(x))
Eq(F_44(x), F_0(x) + F_45(x))
Eq(F_45(x), F_46(x))
Eq(F_46(x), F_21(x)*F_4(x))
Eq(F_48(x, k_0), F_47(x, k_0) + F_53(x, k_0))
Eq(F_49(x, k_0), F_12(x, k_0)*F_48(x, k_0))
Eq(F_49(x, k_0), F_50(x, k_0))
Eq(F_22(x, k_0), F_50(x, k_0) + F_51(x, k_0) + F_6(x, k_0))
Eq(F_51(x, k_0), F_4(x)*F_52(x, k_0))
Eq(F_52(x, k_0), (k_0*F_22(x, k_0) - F_22(x, 1))/(k_0 - 1))
Eq(F_53(x, k_0), F_54(x, k_0)*F_55(x, k_0))
Eq(F_54(x, k_0), F_1(x) + F_12(x, k_0))
Eq(F_55(x, k_0), F_43(x, k_0) + F_56(x, k_0))
Eq(F_56(x, k_0), F_57(x, k_0))
Eq(F_57(x, k_0), F_12(x, k_0)*F_48(x, k_0))
Eq(F_58(x, k_0), F_4(x)*F_59(x, k_0))
Eq(F_59(x, k_0), (k_0*F_35(x, k_0) - F_35(x, 1))/(k_0 - 1))
Eq(F_60(x, k_0), F_61(x, k_0))
Eq(F_61(x, k_0), F_12(x, k_0)*F_62(x, k_0)*F_73(x, k_0))
Eq(F_62(x, k_0), F_106(x, k_0) + F_63(x))
Eq(F_63(x), -F_105(x) + F_64(x))
Eq(F_64(x), F_65(x)/(F_4(x)*F_91(x)))
Eq(F_65(x), F_66(x))
Eq(F_66(x), -F_34(x) + F_67(x))
Eq(F_67(x), F_68(x) + F_84(x))
Eq(F_68(x), F_69(x, 1))
Eq(F_69(x, k_0), (-k_0*F_70(x, k_0) + F_70(x, 1))/(1 - k_0))
Eq(F_70(x, k_0), F_5(x) + F_71(x, k_0))
Eq(F_71(x, k_0), F_72(x, k_0))
Eq(F_72(x, k_0), F_12(x, k_0)*F_73(x, k_0)*F_80(x, k_0))
Eq(F_73(x, k_0), F_1(x) + F_74(x, k_0))
Eq(F_74(x, k_0), F_75(x, k_0))
Eq(F_75(x, k_0), F_12(x, k_0)*F_76(x, k_0))
Eq(F_76(x, k_0), F_54(x, k_0) + F_77(x, k_0))
Eq(F_77(x, k_0), F_74(x, k_0) + F_78(x, k_0))
Eq(F_78(x, k_0), F_79(x, k_0))
Eq(F_79(x, k_0), F_12(x, k_0)*F_74(x, k_0))
Eq(F_80(x, k_0), F_81(x, k_0) + F_83(x))
Eq(F_81(x, k_0), F_54(x, k_0)*F_82(x))
Eq(F_82(x), F_43(x, 1))
Eq(F_83(x), F_47(x, 1))
Eq(F_84(x), F_4(x)*F_85(x))
Eq(F_85(x), F_86(x, 1))
Eq(F_86(x, k_0), (-k_0*F_87(x, k_0) + F_87(x, 1))/(1 - k_0))
Eq(F_87(x, k_0), F_103(x, k_0) + F_88(x, k_0))
Eq(F_88(x, k_0), F_36(x, k_0) + F_89(x, k_0))
Eq(F_89(x, k_0), F_90(x, k_0))
Eq(F_90(x, k_0), F_4(x)*F_91(x)*F_98(x, k_0))
Eq(F_91(x), F_1(x) + F_92(x))
Eq(F_92(x), F_93(x))
Eq(F_93(x), F_4(x)*F_94(x))
Eq(F_94(x), F_41(x) + F_95(x))
Eq(F_95(x), F_92(x) + F_96(x))
Eq(F_96(x), F_97(x))
Eq(F_97(x), F_4(x)*F_92(x))
Eq(F_98(x, k_0), F_39(x, k_0) + F_99(x, k_0))
Eq(F_99(x, k_0), F_100(x, k_0) + F_102(x, k_0) + 3*F_8(x))
Eq(F_100(x, k_0), F_101(x, k_0))
Eq(F_101(x, k_0), F_18(x, k_0)*F_4(x))
Eq(F_102(x, k_0), F_36(x, k_0)*F_4(x))
Eq(F_103(x, k_0), F_104(x, k_0)*F_4(x))
Eq(F_104(x, k_0), (k_0*F_87(x, k_0) - F_87(x, 1))/(k_0 - 1))
Eq(F_105(x), F_106(x, 1))
Eq(F_107(x, k_0), F_106(x, k_0)*F_4(x))
Eq(F_108(x, k_0), F_107(x, k_0) + F_193(x, k_0))
Eq(F_109(x, k_0), F_108(x, k_0)*F_4(x))
Eq(F_109(x, k_0), F_110(x, k_0))
Eq(F_111(x, k_0), F_110(x, k_0) + F_138(x, k_0))
Eq(F_111(x, k_0), F_112(x, k_0))
Eq(F_112(x, k_0), F_113(x, k_0)*F_12(x, k_0))
Eq(F_113(x, k_0), F_114(x, k_0) + F_183(x, k_0))
Eq(F_115(x, k_0), (k_0*F_114(x, k_0) - F_114(x, 1))/(k_0 - 1))
Eq(F_116(x, k_0), F_115(x, k_0) + F_191(x))
Eq(F_117(x, k_0), F_116(x, k_0) + F_189(x, k_0))
Eq(F_118(x, k_0), F_117(x, k_0) + F_191(x))
Eq(F_119(x, k_0), F_118(x, k_0) + F_189(x, k_0))
Eq(F_120(x, k_0), F_119(x, k_0)*F_4(x))
Eq(F_120(x, k_0), F_121(x, k_0))
Eq(F_52(x, k_0), F_121(x, k_0) + F_122(x, k_0) + F_22(x, k_0))
Eq(F_122(x, k_0), F_123(x, k_0)*F_4(x))
Eq(F_123(x, k_0), (k_0*F_124(x, k_0) - F_124(x, 1))/(k_0 - 1))
Eq(F_125(x, k_0), (-k_0*F_124(x, k_0) + F_124(x, 1))/(1 - k_0))
Eq(F_126(x, k_0), F_12(x, k_0)*F_125(x, k_0))
Eq(F_127(x, k_0), F_126(x, k_0) + F_128(x, k_0) + F_21(x))
Eq(F_127(x, k_0), (-k_0*F_22(x, k_0) + F_22(x, 1))/(1 - k_0))
Eq(F_128(x, k_0), F_129(x, k_0))
Eq(F_129(x, k_0), F_12(x, k_0)*F_130(x, k_0))
Eq(F_130(x, k_0), F_131(x, k_0) + F_187(x, k_0))
Eq(F_131(x, k_0), F_132(x, k_0) + F_183(x, k_0))
Eq(F_132(x, k_0), F_133(x, k_0) + F_183(x, k_0))
Eq(F_133(x, k_0), (-k_0*F_134(x, k_0) + F_134(x, 1))/(1 - k_0))
Eq(F_134(x, k_0), F_135(x, k_0) + F_140(x, k_0))
Eq(F_135(x, k_0), F_136(x, k_0)*F_41(x))
Eq(F_137(x, k_0), F_12(x, k_0)*F_136(x, k_0)*F_54(x, k_0))
Eq(F_137(x, k_0), F_138(x, k_0))
Eq(F_138(x, k_0), F_139(x, k_0))
Eq(F_139(x, k_0), F_12(x, k_0)*F_44(x)*F_54(x, k_0)*F_73(x, k_0))
Eq(F_140(x, k_0), F_141(x, k_0))
Eq(F_141(x, k_0), F_142(x, k_0)*F_4(x))
Eq(F_142(x, k_0), F_143(x, k_0) + F_182(x))
Eq(F_143(x, k_0), F_144(x, k_0) + F_179(x))
Eq(F_144(x, k_0), F_145(x, k_0) + F_160(x))
Eq(F_145(x, k_0), F_146(x, k_0) + F_158(x, k_0))
Eq(F_146(x, k_0), F_147(x) + F_155(x, k_0))
Eq(F_147(x), F_148(x) - F_154(x))
Eq(F_148(x), F_149(x, 1))
Eq(F_149(x, k_0), F_150(x, k_0) + F_36(x, k_0))
Eq(F_150(x, k_0), F_151(x, k_0))
Eq(F_151(x, k_0), F_152(x, k_0)*F_4(x))
Eq(F_152(x, k_0), F_153(x, k_0) + F_31(x, k_0))
Eq(F_153(x, k_0), (k_0*F_149(x, k_0) - F_149(x, 1))/(k_0 - 1))
Eq(F_154(x), F_155(x, 1))
Eq(F_156(x, k_0), -F_155(x, 1) + (k_0*F_155(x, k_0) - F_155(x, 1))/(k_0 - 1))
Eq(F_157(x, k_0), F_156(x, k_0)*F_4(x))
Eq(F_25(x, k_0), F_157(x, k_0) + F_26(x, k_0))
Eq(F_158(x, k_0), F_159(x, k_0)*F_4(x))
Eq(F_33(x, k_0), (k_0*F_159(x, k_0) - F_159(x, 1))/(k_0 - 1))
Eq(F_160(x), F_161(x, 1))
Eq(F_162(x, k_0), F_161(x, k_0) + F_177(x, k_0))
Eq(F_162(x, k_0), F_163(x, k_0) + F_40(x, k_0))
Eq(F_163(x, k_0), F_164(x, k_0))
Eq(F_164(x, k_0), F_165(x, k_0)*F_4(x))
Eq(F_165(x, k_0), F_166(x, k_0) + F_176(x, k_0))
Eq(F_166(x, k_0), F_167(x, k_0) + F_168(x, k_0))
Eq(F_167(x, k_0), (k_0*F_162(x, k_0) - F_162(x, 1))/(k_0 - 1))
Eq(F_168(x, k_0), F_169(x) + F_31(x, k_0))
Eq(F_169(x), F_170(x))
Eq(F_170(x), F_171(x)*F_4(x))
Eq(F_171(x), F_172(x) - F_34(x))
Eq(F_172(x), F_173(x, 1))
Eq(F_173(x, k_0), F_174(x, k_0) + F_42(x, k_0))
Eq(F_174(x, k_0), F_175(x, k_0)*F_4(x))
Eq(F_175(x, k_0), (k_0*F_173(x, k_0) - F_173(x, 1))/(k_0 - 1))
Eq(F_176(x, k_0), F_168(x, k_0))
Eq(F_177(x, k_0), F_149(x, k_0) + F_178(x, k_0))
Eq(F_178(x, k_0), F_35(x, k_0)*F_4(x))
Eq(F_179(x), F_169(x) + F_180(x))
Eq(F_180(x), F_181(x))
Eq(F_181(x), F_34(x)*F_4(x))
Eq(F_182(x), F_179(x))
Eq(F_183(x, k_0), F_12(x, k_0)*F_184(x, k_0))
Eq(F_184(x, k_0), F_136(x, k_0) + F_185(x, k_0))
Eq(F_185(x, k_0), F_186(x, k_0)*F_4(x))
Eq(F_186(x, k_0), F_159(x, k_0) + F_171(x))
Eq(F_187(x, k_0), F_188(x, k_0)*F_4(x))
Eq(F_188(x, k_0), (-k_0*F_184(x, k_0) + F_184(x, 1))/(1 - k_0))
Eq(F_189(x, k_0), F_12(x, k_0)*F_190(x, k_0))
Eq(F_190(x, k_0), (k_0*F_184(x, k_0) - F_184(x, 1))/(k_0 - 1))
Eq(F_191(x), F_192(x)*F_4(x))
Eq(F_192(x), F_184(x, 1))
Eq(F_193(x, k_0), F_194(x, k_0))
Eq(F_194(x, k_0), F_12(x, k_0)*F_195(x, k_0))
Eq(F_196(x, k_0), F_182(x) + F_195(x, k_0))
Eq(F_197(x, k_0), F_12(x, k_0)*F_196(x, k_0))
Eq(F_197(x, k_0), F_108(x, k_0))
Eq(F_198(x, k_0), F_12(x, k_0)*F_199(x, k_0))
Eq(F_199(x, k_0), F_1(x) + F_198(x, k_0) + F_200(x, k_0) + F_203(x, k_0) + F_204(x, k_0))
Eq(F_200(x, k_0), F_201(x, k_0)*F_4(x))
Eq(F_201(x, k_0), F_15(x, k_0) + F_202(x, k_0))
Eq(F_202(x, k_0), F_17(x, k_0))
Eq(F_203(x, k_0), F_12(x, k_0)*F_199(x, k_0))
Eq(F_204(x, k_0), F_12(x, k_0)*F_13(x, k_0))
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, 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": [0, 2, 1, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1, 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, 3, 0, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": 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