02413_03412_04312_12403_13402_14302
Counting sequence:
1, 1, 2, 6, 24, 114, 596, 3290, 18778, 109636, 650970, 3916880, 23827354, 146298192, 905471922, 5643442720, 35390597600, 223155920240, 1414016802890, 8999375860642, 57503982427038, 368766838524700, 2372659188793686, 15311817180801900, 99087481919226006, 642860394243292436, 4180575445149743654, 27245937520661706012, 177928852597472611050, 1164151198769768395512, 7630204943810335831532, 50093046358633645591158, 329373245898405046848546, 2168842833319961491211944, 14300774485843840978249298, 94416686326172024320081462, 624114833263109575349992624, 4130267412873327683991317940, 27362979105388807569025492846, 181466217793587984765845974948, 1204627815916423348937208893612, 8004124238106358824510019356318, 53230338549364150291987450221730, 354299961614518309695192912260786, 2360112372463095716369557280689810, 15733607462789585028573277547048970, 104964724948868449570882294600834546, 700751737301245416685392703055107050, 4681423397744482010601352529486724164, 31294826906744324755868492382630423846, 209332554504355346496673211974054070524, 1401070346737019283449891572291063887276, 9382790888719868496204109007654073408318, 62870021746041966894600044784873058629784, 421488508124759614732468309765111510297724, 2827157390133956173621039770489926924949366, 18972666695507147113348378737841159335038930, 127383551485711678479893039025882770778882128, 855653142839764757388172044512383891632780970, 5750091694528531682140518535472704357762823206, 38657873281404298244750201914425442791989077996, 260004686798748799368095501484965415611780086110, 1749438126441216143232810243188202553332112099710, 11775643000084696602940546736310976780486827510830, 79292846818010827580728123921734474690093092978982, 534123485789593939811526854829859412168833296796042, 3599173666705325807692564524301042354513244529400994, 24261228641437002159200769497722086674697977758082974, 163593950141354088625281433970551305082206489995145556, 1103473581349493118580511365739267379860208679036514026, 7445482845498168324898705143797072644707767518916220718, 50252325652015632505862881853218822380269749300140043358, 339272094820282219413747091432947654295886027035678831958, 2291211868344035020536173469397376316841910689270517490208, 15477617077992794669820594820220033335319583916259917000742, 104583078657493544388875133559331738943227238850191424881326, 706861115366153115790501357437721699195692682311765961848178, 4778802663847474890758116847632693393748798911504264490922260, 32315698358256110497866499120983438250792895847561243331565728, 218582130558410993812746534887968420081936586964409733321183108, 1478835088737068220024878226418929023781486437291591921365396560, 10007514846026047114039173011024804500244057077142041116691378744, 67737889376812451370561578939018109601974752079136779092339757630, 458599530265754030028509974883669787784037182672480643097748308778, 3105487394346806855621669628149042219570888076442061943798315650598, 21033809204347303538357062457090291259635679188521062436353033640096, 142493789403679383718171665986369338548879933629838658013067580714840, 965520979325401753397471078796735704670765663499506462468998479854768, 6543547568971892474561689845114056608326770200432894377302671837927470, 44355619429467847578660484427514392235589129036145863270862850995850838, 300722552338388817488954660853832200876333937537324485067830776373379134, 2039217296707085665581039563866659876408846213178175821910551528632162216, 13830549071408747947470838439746067978028854179995486724133240584031721054, 93819270884160787434279634088677238691721364906174851414095922061586846602, 636531298306590297926131446199463644691287134253735247621102924845973323840, 4319375529546645233441824511398420928365140425125821137359436892832732244184, 29315284898409007925280028992104013535505969199265672018106268946430624373152, 198992973175078246784078353587163820239190083384233641894265850778479893297846, 1350984559816138618185540387202676193788213510762278144446633570132076300319048, 9173406820845740034166876543218632704913858358491429405460041498822191343978518, 62298442472514039966571493325160167690923394892175423856965213516238057936650356
Specification 1
Strategy pack name: point_and_row_placements_req_corrob_symmetries
Tree: http://permpal.com/tree/24524/
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[23,x]*F[4,x]
F[4,x] = F[5,x]+F[6,x]
F[5,x] = 1+x*F[5,x]^4+F[5,x]^2*(x^2-2*x+3)+F[5,x]^3*(-1-x)+(-2+2*x)*F[5,x]
F[6,x] = F[2,x]+F[7,x]
F[7,x] = F[263,x]+F[8,x]+F[9,x]
F[8,x] = 0
F[9,x] = F[10,x]*F[23,x]
F[10,x] = F[11,x]
F[11,x] = F[12,x]*F[23,x]
F[12,x] = F[13,x]+F[54,x]
F[13,x] = F[14,x]+F[15,x]+F[262,x]
F[14,x] = F[10,x]+F[4,x]
F[15,x] = F[16,x]
F[16,x] = F[17,x]*F[23,x]
F[17,x] = F[18,x]+F[260,x]
F[18,x] = F[19,x]+F[34,x]
F[19,x] = F[14,x]*F[20,x]
F[20,x] = F[21,x]+F[5,x]
F[21,x] = F[22,x]
F[22,x] = F[23,x]*F[24,x]
F[23,x] = x
F[24,x] = F[25,x]+F[29,x]
F[25,x] = F[26,x]*F[5,x]
F[26,x] = F[27,x]+F[5,x]
F[27,x] = F[28,x]
F[28,x] = F[23,x]*F[24,x]
F[29,x] = F[30,x]
F[30,x] = F[23,x]*F[24,x]*F[31,x]
F[31,x] = F[1,x]+F[32,x]
F[32,x] = F[33,x]
F[33,x] = F[31,x]^2*F[23,x]
F[34,x] = F[252,x]+F[35,x]
F[35,x] = F[20,x]*F[36,x]
F[36,x] = F[37,x]+F[6,x]
F[37,x] = F[38,x]
F[38,x] = F[23,x]*F[39,x]
F[39,x] = F[247,x]+F[40,x]
F[40,x] = F[41,x]+F[42,x]
F[41,x] = F[36,x]*F[5,x]
F[42,x] = F[31,x]*F[43,x]
F[43,x] = -F[246,x]+F[44,x]
F[44,x] = 1/F[23,x]*F[45,x]
F[45,x] = -F[245,x]-F[47,x]-F[8,x]+F[46,x]
F[46,x] = -F[4,x]+F[14,x]
F[47,x] = F[23,x]*F[48,x]
F[48,x] = -F[14,x]+F[49,x]
F[49,x] = F[14,x]+F[50,x]
F[50,x] = F[51,x]
F[51,x] = F[23,x]*F[52,x]
F[52,x] = F[17,x]+F[53,x]
F[53,x] = F[54,x]
F[54,x] = F[224,x]+F[226,x]+F[243,x]+F[55,x]+F[8,x]
F[55,x] = F[23,x]*F[56,x]
F[56,x] = F[57,x]
F[57,x] = F[23,x]*F[58,x]*F[96,x]
F[58,x] = F[216,x]+F[59,x]
F[59,x] = F[217,x]+F[60,x]
F[60,x] = -F[216,x]+F[61,x]
F[61,x] = 1/F[23,x]*F[62,x]
F[62,x] = F[63,x]
F[63,x] = -F[155,x]-F[66,x]+F[64,x]
F[64,x] = F[152,x]+F[65,x]
F[65,x] = F[66,x]+F[76,x]
F[66,x] = F[1,x]+F[67,x]+F[71,x]+F[75,x]
F[67,x] = F[23,x]*F[68,x]
F[68,x] = F[14,x]+F[69,x]
F[69,x] = F[70,x]
F[70,x] = F[17,x]*F[23,x]
F[71,x] = F[23,x]*F[72,x]
F[72,x] = F[14,x]+F[73,x]
F[73,x] = F[74,x]
F[74,x] = F[18,x]*F[23,x]
F[75,x] = F[14,x]*F[23,x]
F[76,x] = F[77,x]
F[77,x] = F[23,x]*F[78,x]
F[78,x] = F[79,x]+F[88,x]
F[79,x] = F[66,x]*F[80,x]
F[80,x] = F[5,x]+F[81,x]
F[81,x] = F[82,x]
F[82,x] = F[23,x]*F[83,x]
F[83,x] = F[20,x]+F[84,x]+F[87,x]
F[84,x] = F[23,x]*F[85,x]
F[85,x] = 1/F[23,x]*F[86,x]
F[86,x] = F[36,x]
F[87,x] = F[23,x]*F[85,x]
F[88,x] = F[89,x]
F[89,x] = F[23,x]*F[90,x]*F[92,x]
F[90,x] = 1/F[23,x]*F[91,x]
F[91,x] = F[44,x]
F[92,x] = 1/F[23,x]*F[93,x]
F[93,x] = F[94,x]
F[94,x] = F[106,x]+F[8,x]+F[95,x]
F[95,x] = F[23,x]*F[96,x]
F[96,x] = F[31,x]+F[97,x]
F[97,x] = F[101,x]+F[98,x]
F[98,x] = F[99,x]
F[99,x] = F[100,x]*F[23,x]
F[100,x] = F[1,x]+F[98,x]
F[101,x] = F[102,x]
F[102,x] = F[103,x]*F[23,x]
F[103,x] = F[104,x]+F[105,x]
F[104,x] = F[31,x]*F[97,x]
F[105,x] = F[96,x]*F[97,x]
F[106,x] = F[107,x]*F[23,x]
F[107,x] = F[108,x]+F[123,x]+F[215,x]+F[8,x]
F[108,x] = F[109,x]*F[23,x]
F[109,x] = F[1,x]+F[110,x]+F[111,x]+F[122,x]
F[110,x] = F[109,x]*F[23,x]
F[111,x] = F[112,x]*F[23,x]
F[112,x] = F[1,x]+F[113,x]+F[114,x]+F[121,x]
F[113,x] = F[112,x]*F[23,x]
F[114,x] = F[115,x]*F[23,x]
F[115,x] = F[116,x]+F[119,x]
F[116,x] = F[1,x]+F[111,x]+F[117,x]+F[118,x]
F[117,x] = F[116,x]*F[23,x]
F[118,x] = F[116,x]*F[23,x]
F[119,x] = F[120,x]
F[120,x] = F[115,x]*F[116,x]*F[23,x]
F[121,x] = F[112,x]*F[23,x]
F[122,x] = F[115,x]*F[23,x]
F[123,x] = F[124,x]*F[23,x]
F[124,x] = 1/F[194,x]*F[125,x]
F[125,x] = -F[212,x]+F[126,x]
F[126,x] = 1/F[23,x]*F[127,x]
F[127,x] = F[128,x]
F[128,x] = -F[211,x]+F[129,x]
F[129,x] = 1/F[23,x]*F[130,x]
F[130,x] = -F[200,x]-F[6,x]+F[131,x]
F[131,x] = F[132,x]+F[170,x]
F[132,x] = -F[158,x]+F[133,x]
F[133,x] = 1/F[23,x]*F[134,x]
F[134,x] = F[135,x]
F[135,x] = -F[2,x]+F[136,x]
F[136,x] = -F[0,x]+F[137,x]
F[137,x] = -F[163,x]+F[138,x]
F[138,x] = F[139,x]+F[4,x]
F[139,x] = F[140,x]
F[140,x] = F[141,x]*F[23,x]
F[141,x] = F[142,x]+F[180,x]+F[199,x]
F[142,x] = F[143,x]+F[4,x]
F[143,x] = F[144,x]+F[3,x]+F[45,x]+F[8,x]
F[144,x] = F[145,x]*F[23,x]
F[145,x] = F[146,x]
F[146,x] = F[147,x]*F[23,x]
F[147,x] = F[148,x]+F[156,x]
F[148,x] = F[149,x]+F[151,x]
F[149,x] = F[131,x]+F[150,x]
F[150,x] = F[4,x]*F[5,x]
F[151,x] = F[152,x]
F[152,x] = F[153,x]+F[155,x]+F[8,x]
F[153,x] = F[154,x]
F[154,x] = F[152,x]*F[23,x]
F[155,x] = F[23,x]*F[90,x]
F[156,x] = F[157,x]
F[157,x] = F[158,x]+F[160,x]
F[158,x] = F[159,x]
F[159,x] = F[137,x]*F[23,x]*F[96,x]
F[160,x] = F[161,x]
F[161,x] = F[162,x]*F[23,x]*F[96,x]
F[162,x] = F[152,x]+F[163,x]
F[163,x] = F[164,x]+F[166,x]
F[164,x] = F[0,x]*F[165,x]
F[165,x] = (x*F[165,x]^3+(2*x-1)*F[165,x]^2+(x^2-x+1)*F[165,x]+x^2)*(1+F[165,x])
F[166,x] = F[167,x]+F[7,x]
F[167,x] = F[168,x]
F[168,x] = F[169,x]*F[23,x]
F[169,x] = F[170,x]+F[179,x]
F[170,x] = F[171,x]+F[172,x]
F[171,x] = F[5,x]*F[7,x]
F[172,x] = F[173,x]
F[173,x] = F[174,x]*F[23,x]
F[174,x] = F[175,x]+F[178,x]
F[175,x] = F[176,x]*F[6,x]
F[176,x] = 1/F[23,x]*F[177,x]
F[177,x] = F[7,x]
F[178,x] = F[107,x]*F[162,x]
F[179,x] = F[160,x]
F[180,x] = F[181,x]
F[181,x] = F[182,x]*F[23,x]
F[182,x] = F[183,x]+F[198,x]
F[183,x] = F[141,x]+F[184,x]
F[184,x] = F[185,x]
F[185,x] = F[186,x]*F[23,x]
F[186,x] = -F[192,x]+F[187,x]
F[187,x] = 1/F[23,x]*F[188,x]
F[188,x] = F[189,x]
F[189,x] = -F[141,x]+F[190,x]
F[190,x] = 1/F[23,x]*F[191,x]
F[191,x] = F[10,x]
F[192,x] = F[193,x]
F[193,x] = F[194,x]*F[195,x]*F[23,x]*F[96,x]
F[194,x] = F[138,x]+F[152,x]
F[195,x] = F[14,x]+F[196,x]
F[196,x] = F[197,x]
F[197,x] = F[195,x]*F[23,x]*F[96,x]
F[198,x] = F[156,x]
F[199,x] = F[183,x]*F[23,x]
F[200,x] = F[201,x]
F[201,x] = F[202,x]*F[23,x]
F[202,x] = F[203,x]+F[208,x]
F[203,x] = F[109,x]*F[204,x]
F[204,x] = -F[205,x]+F[143,x]
F[205,x] = F[144,x]+F[206,x]+F[207,x]+F[8,x]
F[206,x] = F[23,x]*F[6,x]
F[207,x] = F[23,x]*F[43,x]
F[208,x] = -F[209,x]+F[183,x]
F[209,x] = F[203,x]+F[210,x]
F[210,x] = F[14,x]*F[5,x]
F[211,x] = F[20,x]*F[6,x]
F[212,x] = F[213,x]*F[36,x]
F[213,x] = 1/F[23,x]*F[214,x]
F[214,x] = F[6,x]
F[215,x] = F[124,x]*F[23,x]
F[216,x] = F[54,x]
F[217,x] = F[218,x]
F[218,x] = 2*F[8,x]+F[219,x]+F[221,x]
F[219,x] = F[220,x]
F[220,x] = F[218,x]*F[23,x]
F[221,x] = -F[155,x]-F[222,x]-F[66,x]+F[90,x]
F[222,x] = F[223,x]
F[223,x] = F[23,x]*F[58,x]
F[224,x] = F[225,x]
F[225,x] = F[23,x]*F[66,x]*F[96,x]
F[226,x] = F[227,x]*F[23,x]
F[227,x] = F[228,x]
F[228,x] = -F[232,x]+F[229,x]
F[229,x] = 1/F[23,x]*F[230,x]
F[230,x] = F[231,x]
F[231,x] = -F[14,x]+F[68,x]
F[232,x] = F[233,x]+F[234,x]
F[233,x] = F[5,x]*F[72,x]
F[234,x] = F[235,x]
F[235,x] = F[23,x]*F[236,x]
F[236,x] = F[237,x]+F[238,x]
F[237,x] = F[72,x]*F[83,x]
F[238,x] = F[239,x]
F[239,x] = F[23,x]*F[240,x]*F[241,x]
F[240,x] = 1/F[23,x]*F[221,x]
F[241,x] = 1/F[23,x]*F[242,x]
F[242,x] = F[107,x]
F[243,x] = F[244,x]
F[244,x] = F[23,x]*F[54,x]
F[245,x] = F[23,x]*F[68,x]
F[246,x] = F[22,x]
F[247,x] = F[248,x]+F[250,x]
F[248,x] = F[15,x]+F[249,x]+F[8,x]
F[249,x] = F[23,x]*F[34,x]
F[250,x] = F[251,x]
F[251,x] = F[23,x]*F[90,x]*F[97,x]
F[252,x] = F[253,x]
F[253,x] = F[23,x]*F[254,x]
F[254,x] = F[255,x]+F[256,x]
F[255,x] = F[36,x]*F[85,x]
F[256,x] = F[257,x]
F[257,x] = F[23,x]*F[258,x]*F[90,x]
F[258,x] = 1/F[23,x]*F[259,x]
F[259,x] = F[124,x]
F[260,x] = F[261,x]
F[261,x] = F[109,x]*F[23,x]*F[90,x]
F[262,x] = F[18,x]*F[23,x]
F[263,x] = F[23,x]*F[36,x]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{23}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{5}\! \left(x \right)+F_{6}\! \left(x \right)
F_{5}\! \left(x \right) = x F_{5} \left(x \right)^{4}+x^{2} F_{5} \left(x \right)^{2}-F_{5} \left(x \right)^{3} x -2 x F_{5} \left(x \right)^{2}-F_{5} \left(x \right)^{3}+2 F_{5}\! \left(x \right) x +3 F_{5} \left(x \right)^{2}-2 F_{5}\! \left(x \right)+1
F_{6}\! \left(x \right) = F_{2}\! \left(x \right)+F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{263}\! \left(x \right)+F_{8}\! \left(x \right)+F_{9}\! \left(x \right)
F_{8}\! \left(x \right) = 0
F_{9}\! \left(x \right) = F_{10}\! \left(x \right) F_{23}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right) F_{23}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)+F_{54}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{15}\! \left(x \right)+F_{262}\! \left(x \right)
F_{14}\! \left(x \right) = F_{10}\! \left(x \right)+F_{4}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right) F_{23}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{260}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{34}\! \left(x \right)
F_{19}\! \left(x \right) = F_{14}\! \left(x \right) F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)+F_{5}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right) F_{24}\! \left(x \right)
F_{23}\! \left(x \right) = x
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)+F_{29}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right) F_{5}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)+F_{5}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{23}\! \left(x \right) F_{24}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{23}\! \left(x \right) F_{24}\! \left(x \right) F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{1}\! \left(x \right)+F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{31} \left(x \right)^{2} F_{23}\! \left(x \right)
F_{34}\! \left(x \right) = F_{252}\! \left(x \right)+F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{20}\! \left(x \right) F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)+F_{6}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{23}\! \left(x \right) F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{247}\! \left(x \right)+F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)+F_{42}\! \left(x \right)
F_{41}\! \left(x \right) = F_{36}\! \left(x \right) F_{5}\! \left(x \right)
F_{42}\! \left(x \right) = F_{31}\! \left(x \right) F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = -F_{246}\! \left(x \right)+F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = \frac{F_{45}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{45}\! \left(x \right) = -F_{245}\! \left(x \right)-F_{47}\! \left(x \right)-F_{8}\! \left(x \right)+F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = -F_{4}\! \left(x \right)+F_{14}\! \left(x \right)
F_{47}\! \left(x \right) = F_{23}\! \left(x \right) F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = -F_{14}\! \left(x \right)+F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{14}\! \left(x \right)+F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{23}\! \left(x \right) F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{17}\! \left(x \right)+F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{224}\! \left(x \right)+F_{226}\! \left(x \right)+F_{243}\! \left(x \right)+F_{55}\! \left(x \right)+F_{8}\! \left(x \right)
F_{55}\! \left(x \right) = F_{23}\! \left(x \right) F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{23}\! \left(x \right) F_{58}\! \left(x \right) F_{96}\! \left(x \right)
F_{58}\! \left(x \right) = F_{216}\! \left(x \right)+F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{217}\! \left(x \right)+F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = -F_{216}\! \left(x \right)+F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = \frac{F_{62}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = -F_{155}\! \left(x \right)-F_{66}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{152}\! \left(x \right)+F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)+F_{76}\! \left(x \right)
F_{66}\! \left(x \right) = F_{1}\! \left(x \right)+F_{67}\! \left(x \right)+F_{71}\! \left(x \right)+F_{75}\! \left(x \right)
F_{67}\! \left(x \right) = F_{23}\! \left(x \right) F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{14}\! \left(x \right)+F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{17}\! \left(x \right) F_{23}\! \left(x \right)
F_{71}\! \left(x \right) = F_{23}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{14}\! \left(x \right)+F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{18}\! \left(x \right) F_{23}\! \left(x \right)
F_{75}\! \left(x \right) = F_{14}\! \left(x \right) F_{23}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{23}\! \left(x \right) F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)+F_{88}\! \left(x \right)
F_{79}\! \left(x \right) = F_{66}\! \left(x \right) F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{5}\! \left(x \right)+F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{23}\! \left(x \right) F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{20}\! \left(x \right)+F_{84}\! \left(x \right)+F_{87}\! \left(x \right)
F_{84}\! \left(x \right) = F_{23}\! \left(x \right) F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = \frac{F_{86}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{86}\! \left(x \right) = F_{36}\! \left(x \right)
F_{87}\! \left(x \right) = F_{23}\! \left(x \right) F_{85}\! \left(x \right)
F_{88}\! \left(x \right) = F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{23}\! \left(x \right) F_{90}\! \left(x \right) F_{92}\! \left(x \right)
F_{90}\! \left(x \right) = \frac{F_{91}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{91}\! \left(x \right) = F_{44}\! \left(x \right)
F_{92}\! \left(x \right) = \frac{F_{93}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{93}\! \left(x \right) = F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{106}\! \left(x \right)+F_{8}\! \left(x \right)+F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{23}\! \left(x \right) F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{31}\! \left(x \right)+F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{101}\! \left(x \right)+F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right) F_{23}\! \left(x \right)
F_{100}\! \left(x \right) = F_{1}\! \left(x \right)+F_{98}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right) F_{23}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)+F_{105}\! \left(x \right)
F_{104}\! \left(x \right) = F_{31}\! \left(x \right) F_{97}\! \left(x \right)
F_{105}\! \left(x \right) = F_{96}\! \left(x \right) F_{97}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right) F_{23}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)+F_{123}\! \left(x \right)+F_{215}\! \left(x \right)+F_{8}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right) F_{23}\! \left(x \right)
F_{109}\! \left(x \right) = F_{1}\! \left(x \right)+F_{110}\! \left(x \right)+F_{111}\! \left(x \right)+F_{122}\! \left(x \right)
F_{110}\! \left(x \right) = F_{109}\! \left(x \right) F_{23}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right) F_{23}\! \left(x \right)
F_{112}\! \left(x \right) = F_{1}\! \left(x \right)+F_{113}\! \left(x \right)+F_{114}\! \left(x \right)+F_{121}\! \left(x \right)
F_{113}\! \left(x \right) = F_{112}\! \left(x \right) F_{23}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right) F_{23}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)+F_{119}\! \left(x \right)
F_{116}\! \left(x \right) = F_{1}\! \left(x \right)+F_{111}\! \left(x \right)+F_{117}\! \left(x \right)+F_{118}\! \left(x \right)
F_{117}\! \left(x \right) = F_{116}\! \left(x \right) F_{23}\! \left(x \right)
F_{118}\! \left(x \right) = F_{116}\! \left(x \right) F_{23}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = F_{115}\! \left(x \right) F_{116}\! \left(x \right) F_{23}\! \left(x \right)
F_{121}\! \left(x \right) = F_{112}\! \left(x \right) F_{23}\! \left(x \right)
F_{122}\! \left(x \right) = F_{115}\! \left(x \right) F_{23}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right) F_{23}\! \left(x \right)
F_{124}\! \left(x \right) = \frac{F_{125}\! \left(x \right)}{F_{194}\! \left(x \right)}
F_{125}\! \left(x \right) = -F_{212}\! \left(x \right)+F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = \frac{F_{127}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)
F_{128}\! \left(x \right) = -F_{211}\! \left(x \right)+F_{129}\! \left(x \right)
F_{129}\! \left(x \right) = \frac{F_{130}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{130}\! \left(x \right) = -F_{200}\! \left(x \right)-F_{6}\! \left(x \right)+F_{131}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)+F_{170}\! \left(x \right)
F_{132}\! \left(x \right) = -F_{158}\! \left(x \right)+F_{133}\! \left(x \right)
F_{133}\! \left(x \right) = \frac{F_{134}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{134}\! \left(x \right) = F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{137}\! \left(x \right)
F_{137}\! \left(x \right) = -F_{163}\! \left(x \right)+F_{138}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)+F_{4}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right) F_{23}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)+F_{180}\! \left(x \right)+F_{199}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)+F_{4}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)+F_{3}\! \left(x \right)+F_{45}\! \left(x \right)+F_{8}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right) F_{23}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right) F_{23}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right)+F_{156}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right)+F_{151}\! \left(x \right)
F_{149}\! \left(x \right) = F_{131}\! \left(x \right)+F_{150}\! \left(x \right)
F_{150}\! \left(x \right) = F_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)+F_{155}\! \left(x \right)+F_{8}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right)
F_{154}\! \left(x \right) = F_{152}\! \left(x \right) F_{23}\! \left(x \right)
F_{155}\! \left(x \right) = F_{23}\! \left(x \right) F_{90}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)+F_{160}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)
F_{159}\! \left(x \right) = F_{137}\! \left(x \right) F_{23}\! \left(x \right) F_{96}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right) F_{23}\! \left(x \right) F_{96}\! \left(x \right)
F_{162}\! \left(x \right) = F_{152}\! \left(x \right)+F_{163}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right)+F_{166}\! \left(x \right)
F_{164}\! \left(x \right) = F_{0}\! \left(x \right) F_{165}\! \left(x \right)
F_{165}\! \left(x \right) = x F_{165} \left(x \right)^{4}+x^{2} F_{165} \left(x \right)^{2}+3 x F_{165} \left(x \right)^{3}+2 x^{2} F_{165}\! \left(x \right)+x F_{165} \left(x \right)^{2}-F_{165} \left(x \right)^{3}+x^{2}-F_{165}\! \left(x \right) x +F_{165}\! \left(x \right)
F_{166}\! \left(x \right) = F_{167}\! \left(x \right)+F_{7}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right) F_{23}\! \left(x \right)
F_{169}\! \left(x \right) = F_{170}\! \left(x \right)+F_{179}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right)+F_{172}\! \left(x \right)
F_{171}\! \left(x \right) = F_{5}\! \left(x \right) F_{7}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right)
F_{173}\! \left(x \right) = F_{174}\! \left(x \right) F_{23}\! \left(x \right)
F_{174}\! \left(x \right) = F_{175}\! \left(x \right)+F_{178}\! \left(x \right)
F_{175}\! \left(x \right) = F_{176}\! \left(x \right) F_{6}\! \left(x \right)
F_{176}\! \left(x \right) = \frac{F_{177}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{177}\! \left(x \right) = F_{7}\! \left(x \right)
F_{178}\! \left(x \right) = F_{107}\! \left(x \right) F_{162}\! \left(x \right)
F_{179}\! \left(x \right) = F_{160}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right)
F_{181}\! \left(x \right) = F_{182}\! \left(x \right) F_{23}\! \left(x \right)
F_{182}\! \left(x \right) = F_{183}\! \left(x \right)+F_{198}\! \left(x \right)
F_{183}\! \left(x \right) = F_{141}\! \left(x \right)+F_{184}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right) F_{23}\! \left(x \right)
F_{186}\! \left(x \right) = -F_{192}\! \left(x \right)+F_{187}\! \left(x \right)
F_{187}\! \left(x \right) = \frac{F_{188}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{188}\! \left(x \right) = F_{189}\! \left(x \right)
F_{189}\! \left(x \right) = -F_{141}\! \left(x \right)+F_{190}\! \left(x \right)
F_{190}\! \left(x \right) = \frac{F_{191}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{191}\! \left(x \right) = F_{10}\! \left(x \right)
F_{192}\! \left(x \right) = F_{193}\! \left(x \right)
F_{193}\! \left(x \right) = F_{194}\! \left(x \right) F_{195}\! \left(x \right) F_{23}\! \left(x \right) F_{96}\! \left(x \right)
F_{194}\! \left(x \right) = F_{138}\! \left(x \right)+F_{152}\! \left(x \right)
F_{195}\! \left(x \right) = F_{14}\! \left(x \right)+F_{196}\! \left(x \right)
F_{196}\! \left(x \right) = F_{197}\! \left(x \right)
F_{197}\! \left(x \right) = F_{195}\! \left(x \right) F_{23}\! \left(x \right) F_{96}\! \left(x \right)
F_{198}\! \left(x \right) = F_{156}\! \left(x \right)
F_{199}\! \left(x \right) = F_{183}\! \left(x \right) F_{23}\! \left(x \right)
F_{200}\! \left(x \right) = F_{201}\! \left(x \right)
F_{201}\! \left(x \right) = F_{202}\! \left(x \right) F_{23}\! \left(x \right)
F_{202}\! \left(x \right) = F_{203}\! \left(x \right)+F_{208}\! \left(x \right)
F_{203}\! \left(x \right) = F_{109}\! \left(x \right) F_{204}\! \left(x \right)
F_{204}\! \left(x \right) = -F_{205}\! \left(x \right)+F_{143}\! \left(x \right)
F_{205}\! \left(x \right) = F_{144}\! \left(x \right)+F_{206}\! \left(x \right)+F_{207}\! \left(x \right)+F_{8}\! \left(x \right)
F_{206}\! \left(x \right) = F_{23}\! \left(x \right) F_{6}\! \left(x \right)
F_{207}\! \left(x \right) = F_{23}\! \left(x \right) F_{43}\! \left(x \right)
F_{208}\! \left(x \right) = -F_{209}\! \left(x \right)+F_{183}\! \left(x \right)
F_{209}\! \left(x \right) = F_{203}\! \left(x \right)+F_{210}\! \left(x \right)
F_{210}\! \left(x \right) = F_{14}\! \left(x \right) F_{5}\! \left(x \right)
F_{211}\! \left(x \right) = F_{20}\! \left(x \right) F_{6}\! \left(x \right)
F_{212}\! \left(x \right) = F_{213}\! \left(x \right) F_{36}\! \left(x \right)
F_{213}\! \left(x \right) = \frac{F_{214}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{214}\! \left(x \right) = F_{6}\! \left(x \right)
F_{215}\! \left(x \right) = F_{124}\! \left(x \right) F_{23}\! \left(x \right)
F_{216}\! \left(x \right) = F_{54}\! \left(x \right)
F_{217}\! \left(x \right) = F_{218}\! \left(x \right)
F_{218}\! \left(x \right) = 2 F_{8}\! \left(x \right)+F_{219}\! \left(x \right)+F_{221}\! \left(x \right)
F_{219}\! \left(x \right) = F_{220}\! \left(x \right)
F_{220}\! \left(x \right) = F_{218}\! \left(x \right) F_{23}\! \left(x \right)
F_{221}\! \left(x \right) = -F_{155}\! \left(x \right)-F_{222}\! \left(x \right)-F_{66}\! \left(x \right)+F_{90}\! \left(x \right)
F_{222}\! \left(x \right) = F_{223}\! \left(x \right)
F_{223}\! \left(x \right) = F_{23}\! \left(x \right) F_{58}\! \left(x \right)
F_{224}\! \left(x \right) = F_{225}\! \left(x \right)
F_{225}\! \left(x \right) = F_{23}\! \left(x \right) F_{66}\! \left(x \right) F_{96}\! \left(x \right)
F_{226}\! \left(x \right) = F_{227}\! \left(x \right) F_{23}\! \left(x \right)
F_{227}\! \left(x \right) = F_{228}\! \left(x \right)
F_{228}\! \left(x \right) = -F_{232}\! \left(x \right)+F_{229}\! \left(x \right)
F_{229}\! \left(x \right) = \frac{F_{230}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{230}\! \left(x \right) = F_{231}\! \left(x \right)
F_{231}\! \left(x \right) = -F_{14}\! \left(x \right)+F_{68}\! \left(x \right)
F_{232}\! \left(x \right) = F_{233}\! \left(x \right)+F_{234}\! \left(x \right)
F_{233}\! \left(x \right) = F_{5}\! \left(x \right) F_{72}\! \left(x \right)
F_{234}\! \left(x \right) = F_{235}\! \left(x \right)
F_{235}\! \left(x \right) = F_{23}\! \left(x \right) F_{236}\! \left(x \right)
F_{236}\! \left(x \right) = F_{237}\! \left(x \right)+F_{238}\! \left(x \right)
F_{237}\! \left(x \right) = F_{72}\! \left(x \right) F_{83}\! \left(x \right)
F_{238}\! \left(x \right) = F_{239}\! \left(x \right)
F_{239}\! \left(x \right) = F_{23}\! \left(x \right) F_{240}\! \left(x \right) F_{241}\! \left(x \right)
F_{240}\! \left(x \right) = \frac{F_{221}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{241}\! \left(x \right) = \frac{F_{242}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{242}\! \left(x \right) = F_{107}\! \left(x \right)
F_{243}\! \left(x \right) = F_{244}\! \left(x \right)
F_{244}\! \left(x \right) = F_{23}\! \left(x \right) F_{54}\! \left(x \right)
F_{245}\! \left(x \right) = F_{23}\! \left(x \right) F_{68}\! \left(x \right)
F_{246}\! \left(x \right) = F_{22}\! \left(x \right)
F_{247}\! \left(x \right) = F_{248}\! \left(x \right)+F_{250}\! \left(x \right)
F_{248}\! \left(x \right) = F_{15}\! \left(x \right)+F_{249}\! \left(x \right)+F_{8}\! \left(x \right)
F_{249}\! \left(x \right) = F_{23}\! \left(x \right) F_{34}\! \left(x \right)
F_{250}\! \left(x \right) = F_{251}\! \left(x \right)
F_{251}\! \left(x \right) = F_{23}\! \left(x \right) F_{90}\! \left(x \right) F_{97}\! \left(x \right)
F_{252}\! \left(x \right) = F_{253}\! \left(x \right)
F_{253}\! \left(x \right) = F_{23}\! \left(x \right) F_{254}\! \left(x \right)
F_{254}\! \left(x \right) = F_{255}\! \left(x \right)+F_{256}\! \left(x \right)
F_{255}\! \left(x \right) = F_{36}\! \left(x \right) F_{85}\! \left(x \right)
F_{256}\! \left(x \right) = F_{257}\! \left(x \right)
F_{257}\! \left(x \right) = F_{23}\! \left(x \right) F_{258}\! \left(x \right) F_{90}\! \left(x \right)
F_{258}\! \left(x \right) = \frac{F_{259}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{259}\! \left(x \right) = F_{124}\! \left(x \right)
F_{260}\! \left(x \right) = F_{261}\! \left(x \right)
F_{261}\! \left(x \right) = F_{109}\! \left(x \right) F_{23}\! \left(x \right) F_{90}\! \left(x \right)
F_{262}\! \left(x \right) = F_{18}\! \left(x \right) F_{23}\! \left(x \right)
F_{263}\! \left(x \right) = F_{23}\! \left(x \right) F_{36}\! \left(x \right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_23(x)*F_4(x))
Eq(F_4(x), F_5(x) + F_6(x))
Eq(F_5(x), x*F_5(x)**4 + (-x - 1)*F_5(x)**3 + (2*x - 2)*F_5(x) + (x**2 - 2*x + 3)*F_5(x)**2 + 1)
Eq(F_6(x), F_2(x) + F_7(x))
Eq(F_7(x), F_263(x) + F_8(x) + F_9(x))
Eq(F_8(x), 0)
Eq(F_9(x), F_10(x)*F_23(x))
Eq(F_10(x), F_11(x))
Eq(F_11(x), F_12(x)*F_23(x))
Eq(F_12(x), F_13(x) + F_54(x))
Eq(F_13(x), F_14(x) + F_15(x) + F_262(x))
Eq(F_14(x), F_10(x) + F_4(x))
Eq(F_15(x), F_16(x))
Eq(F_16(x), F_17(x)*F_23(x))
Eq(F_17(x), F_18(x) + F_260(x))
Eq(F_18(x), F_19(x) + F_34(x))
Eq(F_19(x), F_14(x)*F_20(x))
Eq(F_20(x), F_21(x) + F_5(x))
Eq(F_21(x), F_22(x))
Eq(F_22(x), F_23(x)*F_24(x))
Eq(F_23(x), x)
Eq(F_24(x), F_25(x) + F_29(x))
Eq(F_25(x), F_26(x)*F_5(x))
Eq(F_26(x), F_27(x) + F_5(x))
Eq(F_27(x), F_28(x))
Eq(F_28(x), F_23(x)*F_24(x))
Eq(F_29(x), F_30(x))
Eq(F_30(x), F_23(x)*F_24(x)*F_31(x))
Eq(F_31(x), F_1(x) + F_32(x))
Eq(F_32(x), F_33(x))
Eq(F_33(x), F_23(x)*F_31(x)**2)
Eq(F_34(x), F_252(x) + F_35(x))
Eq(F_35(x), F_20(x)*F_36(x))
Eq(F_36(x), F_37(x) + F_6(x))
Eq(F_37(x), F_38(x))
Eq(F_38(x), F_23(x)*F_39(x))
Eq(F_39(x), F_247(x) + F_40(x))
Eq(F_40(x), F_41(x) + F_42(x))
Eq(F_41(x), F_36(x)*F_5(x))
Eq(F_42(x), F_31(x)*F_43(x))
Eq(F_43(x), -F_246(x) + F_44(x))
Eq(F_44(x), F_45(x)/F_23(x))
Eq(F_45(x), -F_245(x) + F_46(x) - F_47(x) - F_8(x))
Eq(F_46(x), F_14(x) - F_4(x))
Eq(F_47(x), F_23(x)*F_48(x))
Eq(F_48(x), -F_14(x) + F_49(x))
Eq(F_49(x), F_14(x) + F_50(x))
Eq(F_50(x), F_51(x))
Eq(F_51(x), F_23(x)*F_52(x))
Eq(F_52(x), F_17(x) + F_53(x))
Eq(F_53(x), F_54(x))
Eq(F_54(x), F_224(x) + F_226(x) + F_243(x) + F_55(x) + F_8(x))
Eq(F_55(x), F_23(x)*F_56(x))
Eq(F_56(x), F_57(x))
Eq(F_57(x), F_23(x)*F_58(x)*F_96(x))
Eq(F_58(x), F_216(x) + F_59(x))
Eq(F_59(x), F_217(x) + F_60(x))
Eq(F_60(x), -F_216(x) + F_61(x))
Eq(F_61(x), F_62(x)/F_23(x))
Eq(F_62(x), F_63(x))
Eq(F_63(x), -F_155(x) + F_64(x) - F_66(x))
Eq(F_64(x), F_152(x) + F_65(x))
Eq(F_65(x), F_66(x) + F_76(x))
Eq(F_66(x), F_1(x) + F_67(x) + F_71(x) + F_75(x))
Eq(F_67(x), F_23(x)*F_68(x))
Eq(F_68(x), F_14(x) + F_69(x))
Eq(F_69(x), F_70(x))
Eq(F_70(x), F_17(x)*F_23(x))
Eq(F_71(x), F_23(x)*F_72(x))
Eq(F_72(x), F_14(x) + F_73(x))
Eq(F_73(x), F_74(x))
Eq(F_74(x), F_18(x)*F_23(x))
Eq(F_75(x), F_14(x)*F_23(x))
Eq(F_76(x), F_77(x))
Eq(F_77(x), F_23(x)*F_78(x))
Eq(F_78(x), F_79(x) + F_88(x))
Eq(F_79(x), F_66(x)*F_80(x))
Eq(F_80(x), F_5(x) + F_81(x))
Eq(F_81(x), F_82(x))
Eq(F_82(x), F_23(x)*F_83(x))
Eq(F_83(x), F_20(x) + F_84(x) + F_87(x))
Eq(F_84(x), F_23(x)*F_85(x))
Eq(F_85(x), F_86(x)/F_23(x))
Eq(F_86(x), F_36(x))
Eq(F_87(x), F_23(x)*F_85(x))
Eq(F_88(x), F_89(x))
Eq(F_89(x), F_23(x)*F_90(x)*F_92(x))
Eq(F_90(x), F_91(x)/F_23(x))
Eq(F_91(x), F_44(x))
Eq(F_92(x), F_93(x)/F_23(x))
Eq(F_93(x), F_94(x))
Eq(F_94(x), F_106(x) + F_8(x) + F_95(x))
Eq(F_95(x), F_23(x)*F_96(x))
Eq(F_96(x), F_31(x) + F_97(x))
Eq(F_97(x), F_101(x) + F_98(x))
Eq(F_98(x), F_99(x))
Eq(F_99(x), F_100(x)*F_23(x))
Eq(F_100(x), F_1(x) + F_98(x))
Eq(F_101(x), F_102(x))
Eq(F_102(x), F_103(x)*F_23(x))
Eq(F_103(x), F_104(x) + F_105(x))
Eq(F_104(x), F_31(x)*F_97(x))
Eq(F_105(x), F_96(x)*F_97(x))
Eq(F_106(x), F_107(x)*F_23(x))
Eq(F_107(x), F_108(x) + F_123(x) + F_215(x) + F_8(x))
Eq(F_108(x), F_109(x)*F_23(x))
Eq(F_109(x), F_1(x) + F_110(x) + F_111(x) + F_122(x))
Eq(F_110(x), F_109(x)*F_23(x))
Eq(F_111(x), F_112(x)*F_23(x))
Eq(F_112(x), F_1(x) + F_113(x) + F_114(x) + F_121(x))
Eq(F_113(x), F_112(x)*F_23(x))
Eq(F_114(x), F_115(x)*F_23(x))
Eq(F_115(x), F_116(x) + F_119(x))
Eq(F_116(x), F_1(x) + F_111(x) + F_117(x) + F_118(x))
Eq(F_117(x), F_116(x)*F_23(x))
Eq(F_118(x), F_116(x)*F_23(x))
Eq(F_119(x), F_120(x))
Eq(F_120(x), F_115(x)*F_116(x)*F_23(x))
Eq(F_121(x), F_112(x)*F_23(x))
Eq(F_122(x), F_115(x)*F_23(x))
Eq(F_123(x), F_124(x)*F_23(x))
Eq(F_124(x), F_125(x)/F_194(x))
Eq(F_125(x), F_126(x) - F_212(x))
Eq(F_126(x), F_127(x)/F_23(x))
Eq(F_127(x), F_128(x))
Eq(F_128(x), F_129(x) - F_211(x))
Eq(F_129(x), F_130(x)/F_23(x))
Eq(F_130(x), F_131(x) - F_200(x) - F_6(x))
Eq(F_131(x), F_132(x) + F_170(x))
Eq(F_132(x), F_133(x) - F_158(x))
Eq(F_133(x), F_134(x)/F_23(x))
Eq(F_134(x), F_135(x))
Eq(F_135(x), F_136(x) - F_2(x))
Eq(F_136(x), -F_0(x) + F_137(x))
Eq(F_137(x), F_138(x) - F_163(x))
Eq(F_138(x), F_139(x) + F_4(x))
Eq(F_139(x), F_140(x))
Eq(F_140(x), F_141(x)*F_23(x))
Eq(F_141(x), F_142(x) + F_180(x) + F_199(x))
Eq(F_142(x), F_143(x) + F_4(x))
Eq(F_143(x), F_144(x) + F_3(x) + F_45(x) + F_8(x))
Eq(F_144(x), F_145(x)*F_23(x))
Eq(F_145(x), F_146(x))
Eq(F_146(x), F_147(x)*F_23(x))
Eq(F_147(x), F_148(x) + F_156(x))
Eq(F_148(x), F_149(x) + F_151(x))
Eq(F_149(x), F_131(x) + F_150(x))
Eq(F_150(x), F_4(x)*F_5(x))
Eq(F_151(x), F_152(x))
Eq(F_152(x), F_153(x) + F_155(x) + F_8(x))
Eq(F_153(x), F_154(x))
Eq(F_154(x), F_152(x)*F_23(x))
Eq(F_155(x), F_23(x)*F_90(x))
Eq(F_156(x), F_157(x))
Eq(F_157(x), F_158(x) + F_160(x))
Eq(F_158(x), F_159(x))
Eq(F_159(x), F_137(x)*F_23(x)*F_96(x))
Eq(F_160(x), F_161(x))
Eq(F_161(x), F_162(x)*F_23(x)*F_96(x))
Eq(F_162(x), F_152(x) + F_163(x))
Eq(F_163(x), F_164(x) + F_166(x))
Eq(F_164(x), F_0(x)*F_165(x))
Eq(F_165(x), x*(F_165(x) + 1)**4 + (-x - 1)*(F_165(x) + 1)**3 + (2*x - 3)*(F_165(x) + 1) + (F_165(x) + 1)**2*(x**2 - 2*x + 3) + F_165(x) + 1)
Eq(F_166(x), F_167(x) + F_7(x))
Eq(F_167(x), F_168(x))
Eq(F_168(x), F_169(x)*F_23(x))
Eq(F_169(x), F_170(x) + F_179(x))
Eq(F_170(x), F_171(x) + F_172(x))
Eq(F_171(x), F_5(x)*F_7(x))
Eq(F_172(x), F_173(x))
Eq(F_173(x), F_174(x)*F_23(x))
Eq(F_174(x), F_175(x) + F_178(x))
Eq(F_175(x), F_176(x)*F_6(x))
Eq(F_176(x), F_177(x)/F_23(x))
Eq(F_177(x), F_7(x))
Eq(F_178(x), F_107(x)*F_162(x))
Eq(F_179(x), F_160(x))
Eq(F_180(x), F_181(x))
Eq(F_181(x), F_182(x)*F_23(x))
Eq(F_182(x), F_183(x) + F_198(x))
Eq(F_183(x), F_141(x) + F_184(x))
Eq(F_184(x), F_185(x))
Eq(F_185(x), F_186(x)*F_23(x))
Eq(F_186(x), F_187(x) - F_192(x))
Eq(F_187(x), F_188(x)/F_23(x))
Eq(F_188(x), F_189(x))
Eq(F_189(x), -F_141(x) + F_190(x))
Eq(F_190(x), F_191(x)/F_23(x))
Eq(F_191(x), F_10(x))
Eq(F_192(x), F_193(x))
Eq(F_193(x), F_194(x)*F_195(x)*F_23(x)*F_96(x))
Eq(F_194(x), F_138(x) + F_152(x))
Eq(F_195(x), F_14(x) + F_196(x))
Eq(F_196(x), F_197(x))
Eq(F_197(x), F_195(x)*F_23(x)*F_96(x))
Eq(F_198(x), F_156(x))
Eq(F_199(x), F_183(x)*F_23(x))
Eq(F_200(x), F_201(x))
Eq(F_201(x), F_202(x)*F_23(x))
Eq(F_202(x), F_203(x) + F_208(x))
Eq(F_203(x), F_109(x)*F_204(x))
Eq(F_204(x), F_143(x) - F_205(x))
Eq(F_205(x), F_144(x) + F_206(x) + F_207(x) + F_8(x))
Eq(F_206(x), F_23(x)*F_6(x))
Eq(F_207(x), F_23(x)*F_43(x))
Eq(F_208(x), F_183(x) - F_209(x))
Eq(F_209(x), F_203(x) + F_210(x))
Eq(F_210(x), F_14(x)*F_5(x))
Eq(F_211(x), F_20(x)*F_6(x))
Eq(F_212(x), F_213(x)*F_36(x))
Eq(F_213(x), F_214(x)/F_23(x))
Eq(F_214(x), F_6(x))
Eq(F_215(x), F_124(x)*F_23(x))
Eq(F_216(x), F_54(x))
Eq(F_217(x), F_218(x))
Eq(F_218(x), F_219(x) + F_221(x) + 2*F_8(x))
Eq(F_219(x), F_220(x))
Eq(F_220(x), F_218(x)*F_23(x))
Eq(F_221(x), -F_155(x) - F_222(x) - F_66(x) + F_90(x))
Eq(F_222(x), F_223(x))
Eq(F_223(x), F_23(x)*F_58(x))
Eq(F_224(x), F_225(x))
Eq(F_225(x), F_23(x)*F_66(x)*F_96(x))
Eq(F_226(x), F_227(x)*F_23(x))
Eq(F_227(x), F_228(x))
Eq(F_228(x), F_229(x) - F_232(x))
Eq(F_229(x), F_230(x)/F_23(x))
Eq(F_230(x), F_231(x))
Eq(F_231(x), -F_14(x) + F_68(x))
Eq(F_232(x), F_233(x) + F_234(x))
Eq(F_233(x), F_5(x)*F_72(x))
Eq(F_234(x), F_235(x))
Eq(F_235(x), F_23(x)*F_236(x))
Eq(F_236(x), F_237(x) + F_238(x))
Eq(F_237(x), F_72(x)*F_83(x))
Eq(F_238(x), F_239(x))
Eq(F_239(x), F_23(x)*F_240(x)*F_241(x))
Eq(F_240(x), F_221(x)/F_23(x))
Eq(F_241(x), F_242(x)/F_23(x))
Eq(F_242(x), F_107(x))
Eq(F_243(x), F_244(x))
Eq(F_244(x), F_23(x)*F_54(x))
Eq(F_245(x), F_23(x)*F_68(x))
Eq(F_246(x), F_22(x))
Eq(F_247(x), F_248(x) + F_250(x))
Eq(F_248(x), F_15(x) + F_249(x) + F_8(x))
Eq(F_249(x), F_23(x)*F_34(x))
Eq(F_250(x), F_251(x))
Eq(F_251(x), F_23(x)*F_90(x)*F_97(x))
Eq(F_252(x), F_253(x))
Eq(F_253(x), F_23(x)*F_254(x))
Eq(F_254(x), F_255(x) + F_256(x))
Eq(F_255(x), F_36(x)*F_85(x))
Eq(F_256(x), F_257(x))
Eq(F_257(x), F_23(x)*F_258(x)*F_90(x))
Eq(F_258(x), F_259(x)/F_23(x))
Eq(F_259(x), F_124(x))
Eq(F_260(x), F_261(x))
Eq(F_261(x), F_109(x)*F_23(x)*F_90(x))
Eq(F_262(x), F_18(x)*F_23(x))
Eq(F_263(x), F_23(x)*F_36(x))
Pack JSON:
{"name": "point_and_row_placements_req_corrob_symmetries", "initial_strats": [{"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.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": [[0, 2, 4, 1, 3], [0, 3, 4, 1, 2], [0, 4, 3, 1, 2], [1, 2, 4, 0, 3], [1, 3, 4, 0, 2], [1, 4, 3, 0, 2]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 4, 1, 3], [0, 3, 4, 1, 2], [0, 4, 3, 1, 2], [1, 2, 4, 0, 3], [1, 3, 4, 0, 2], [1, 4, 3, 0, 2]], "symmetry": true}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": true, "place_col": false}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": [[0, 2, 4, 1, 3], [0, 3, 4, 1, 2], [0, 4, 3, 1, 2], [1, 2, 4, 0, 3], [1, 3, 4, 0, 2], [1, 4, 3, 0, 2]]}], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 4, 0, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1], "pos": [[1, 0], [1, 0], [2, 0]]}, {"patt": [1, 2, 0], "pos": [[1, 0], [1, 0], [2, 0]]}, {"patt": [2, 1, 0], "pos": [[1, 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{"patt": [2, 0, 1], "pos": [[1, 2], [1, 2], [1, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}], [{"patt": [0], "pos": [[2, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0], "pos": [[2, 2]]}, {"patt": [0], "pos": [[3, 0]]}, {"patt": [0], "pos": [[3, 1]]}, {"patt": [0], "pos": [[4, 0]]}, {"patt": [0], "pos": [[4, 2]]}, {"patt": [0, 1], "pos": [[0, 2], [0, 2]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [0, 1], "pos": [[4, 1], [4, 1]]}, {"patt": [1, 0], "pos": [[4, 1], [4, 1]]}, {"patt": [2, 0, 1], "pos": [[2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 1], "pos": [[3, 2], [3, 2], [3, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 0]]}], [{"patt": [0], "pos": [[4, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 2, 0, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 4, 1, 3], [0, 3, 4, 1, 2], [0, 4, 3, 1, 2], [1, 2, 4, 0, 3], [1, 3, 4, 0, 2], [1, 4, 3, 0, 2]], "symmetry": true}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 2, 0, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 4, 1, 3], [0, 3, 4, 1, 2], [0, 4, 3, 1, 2], [1, 2, 4, 0, 3], [1, 3, 4, 0, 2], [1, 4, 3, 0, 2]], "symmetry": true}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 2
Strategy pack name: point_and_row_placements_req_corrob_symmetries
Tree: http://permpal.com/tree/24898/
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[23,x]*F[4,x]
F[4,x] = F[5,x]+F[6,x]
F[5,x] = 1+x*F[5,x]^4+F[5,x]^2*(x^2-2*x+3)+F[5,x]^3*(-1-x)+(-2+2*x)*F[5,x]
F[6,x] = F[2,x]+F[7,x]
F[7,x] = F[263,x]+F[8,x]+F[9,x]
F[8,x] = 0
F[9,x] = F[10,x]*F[23,x]
F[10,x] = F[11,x]
F[11,x] = F[12,x]*F[23,x]
F[12,x] = F[13,x]+F[54,x]
F[13,x] = F[14,x]+F[15,x]+F[262,x]
F[14,x] = F[10,x]+F[4,x]
F[15,x] = F[16,x]
F[16,x] = F[17,x]*F[23,x]
F[17,x] = F[18,x]+F[260,x]
F[18,x] = F[19,x]+F[34,x]
F[19,x] = F[14,x]*F[20,x]
F[20,x] = F[21,x]+F[5,x]
F[21,x] = F[22,x]
F[22,x] = F[23,x]*F[24,x]
F[23,x] = x
F[24,x] = F[25,x]+F[29,x]
F[25,x] = F[26,x]*F[5,x]
F[26,x] = F[27,x]+F[5,x]
F[27,x] = F[28,x]
F[28,x] = F[23,x]*F[24,x]
F[29,x] = F[30,x]
F[30,x] = F[23,x]*F[24,x]*F[31,x]
F[31,x] = F[1,x]+F[32,x]
F[32,x] = F[33,x]
F[33,x] = F[31,x]^2*F[23,x]
F[34,x] = F[252,x]+F[35,x]
F[35,x] = F[20,x]*F[36,x]
F[36,x] = F[37,x]+F[6,x]
F[37,x] = F[38,x]
F[38,x] = F[23,x]*F[39,x]
F[39,x] = F[247,x]+F[40,x]
F[40,x] = F[41,x]+F[42,x]
F[41,x] = F[36,x]*F[5,x]
F[42,x] = F[31,x]*F[43,x]
F[43,x] = -F[246,x]+F[44,x]
F[44,x] = 1/F[23,x]*F[45,x]
F[45,x] = -F[245,x]-F[47,x]-F[8,x]+F[46,x]
F[46,x] = -F[4,x]+F[14,x]
F[47,x] = F[23,x]*F[48,x]
F[48,x] = -F[14,x]+F[49,x]
F[49,x] = F[14,x]+F[50,x]
F[50,x] = F[51,x]
F[51,x] = F[23,x]*F[52,x]
F[52,x] = F[17,x]+F[53,x]
F[53,x] = F[54,x]
F[54,x] = F[224,x]+F[226,x]+F[243,x]+F[55,x]+F[8,x]
F[55,x] = F[23,x]*F[56,x]
F[56,x] = F[57,x]
F[57,x] = F[23,x]*F[58,x]*F[96,x]
F[58,x] = F[216,x]+F[59,x]
F[59,x] = F[217,x]+F[60,x]
F[60,x] = -F[216,x]+F[61,x]
F[61,x] = 1/F[23,x]*F[62,x]
F[62,x] = F[63,x]
F[63,x] = -F[155,x]-F[66,x]+F[64,x]
F[64,x] = F[152,x]+F[65,x]
F[65,x] = F[66,x]+F[76,x]
F[66,x] = F[1,x]+F[67,x]+F[71,x]+F[75,x]
F[67,x] = F[23,x]*F[68,x]
F[68,x] = F[14,x]+F[69,x]
F[69,x] = F[70,x]
F[70,x] = F[17,x]*F[23,x]
F[71,x] = F[23,x]*F[72,x]
F[72,x] = F[14,x]+F[73,x]
F[73,x] = F[74,x]
F[74,x] = F[18,x]*F[23,x]
F[75,x] = F[14,x]*F[23,x]
F[76,x] = F[77,x]
F[77,x] = F[23,x]*F[78,x]
F[78,x] = F[79,x]+F[88,x]
F[79,x] = F[66,x]*F[80,x]
F[80,x] = F[5,x]+F[81,x]
F[81,x] = F[82,x]
F[82,x] = F[23,x]*F[83,x]
F[83,x] = F[20,x]+F[84,x]+F[87,x]
F[84,x] = F[23,x]*F[85,x]
F[85,x] = 1/F[23,x]*F[86,x]
F[86,x] = F[36,x]
F[87,x] = F[23,x]*F[85,x]
F[88,x] = F[89,x]
F[89,x] = F[23,x]*F[90,x]*F[92,x]
F[90,x] = 1/F[23,x]*F[91,x]
F[91,x] = F[44,x]
F[92,x] = 1/F[23,x]*F[93,x]
F[93,x] = F[94,x]
F[94,x] = F[106,x]+F[8,x]+F[95,x]
F[95,x] = F[23,x]*F[96,x]
F[96,x] = F[31,x]+F[97,x]
F[97,x] = F[101,x]+F[98,x]
F[98,x] = F[99,x]
F[99,x] = F[100,x]*F[23,x]
F[100,x] = F[1,x]+F[98,x]
F[101,x] = F[102,x]
F[102,x] = F[103,x]*F[23,x]
F[103,x] = F[104,x]+F[105,x]
F[104,x] = F[31,x]*F[97,x]
F[105,x] = F[96,x]*F[97,x]
F[106,x] = F[107,x]*F[23,x]
F[107,x] = F[108,x]+F[123,x]+F[215,x]+F[8,x]
F[108,x] = F[109,x]*F[23,x]
F[109,x] = F[1,x]+F[110,x]+F[111,x]+F[122,x]
F[110,x] = F[109,x]*F[23,x]
F[111,x] = F[112,x]*F[23,x]
F[112,x] = F[1,x]+F[113,x]+F[114,x]+F[121,x]
F[113,x] = F[112,x]*F[23,x]
F[114,x] = F[115,x]*F[23,x]
F[115,x] = F[116,x]+F[119,x]
F[116,x] = F[1,x]+F[111,x]+F[117,x]+F[118,x]
F[117,x] = F[116,x]*F[23,x]
F[118,x] = F[116,x]*F[23,x]
F[119,x] = F[120,x]
F[120,x] = F[115,x]*F[116,x]*F[23,x]
F[121,x] = F[112,x]*F[23,x]
F[122,x] = F[115,x]*F[23,x]
F[123,x] = F[124,x]*F[23,x]
F[124,x] = 1/F[194,x]*F[125,x]
F[125,x] = -F[212,x]+F[126,x]
F[126,x] = 1/F[23,x]*F[127,x]
F[127,x] = F[128,x]
F[128,x] = -F[211,x]+F[129,x]
F[129,x] = 1/F[23,x]*F[130,x]
F[130,x] = -F[200,x]-F[6,x]+F[131,x]
F[131,x] = F[132,x]+F[170,x]
F[132,x] = -F[158,x]+F[133,x]
F[133,x] = 1/F[23,x]*F[134,x]
F[134,x] = F[135,x]
F[135,x] = -F[2,x]+F[136,x]
F[136,x] = -F[0,x]+F[137,x]
F[137,x] = -F[163,x]+F[138,x]
F[138,x] = F[139,x]+F[4,x]
F[139,x] = F[140,x]
F[140,x] = F[141,x]*F[23,x]
F[141,x] = F[142,x]+F[180,x]+F[199,x]
F[142,x] = F[143,x]+F[4,x]
F[143,x] = F[144,x]+F[3,x]+F[45,x]+F[8,x]
F[144,x] = F[145,x]*F[23,x]
F[145,x] = F[146,x]
F[146,x] = F[147,x]*F[23,x]
F[147,x] = F[148,x]+F[156,x]
F[148,x] = F[149,x]+F[151,x]
F[149,x] = F[131,x]+F[150,x]
F[150,x] = F[4,x]*F[5,x]
F[151,x] = F[152,x]
F[152,x] = F[153,x]+F[155,x]+F[8,x]
F[153,x] = F[154,x]
F[154,x] = F[152,x]*F[23,x]
F[155,x] = F[23,x]*F[90,x]
F[156,x] = F[157,x]
F[157,x] = F[158,x]+F[160,x]
F[158,x] = F[159,x]
F[159,x] = F[137,x]*F[23,x]*F[96,x]
F[160,x] = F[161,x]
F[161,x] = F[162,x]*F[23,x]*F[96,x]
F[162,x] = F[152,x]+F[163,x]
F[163,x] = F[164,x]+F[166,x]
F[164,x] = F[0,x]*F[165,x]
F[165,x] = (x*F[165,x]^3+(2*x-1)*F[165,x]^2+(x^2-x+1)*F[165,x]+x^2)*(1+F[165,x])
F[166,x] = F[167,x]+F[7,x]
F[167,x] = F[168,x]
F[168,x] = F[169,x]*F[23,x]
F[169,x] = F[170,x]+F[179,x]
F[170,x] = F[171,x]+F[172,x]
F[171,x] = F[5,x]*F[7,x]
F[172,x] = F[173,x]
F[173,x] = F[174,x]*F[23,x]
F[174,x] = F[175,x]+F[178,x]
F[175,x] = F[176,x]*F[6,x]
F[176,x] = 1/F[23,x]*F[177,x]
F[177,x] = F[7,x]
F[178,x] = F[107,x]*F[162,x]
F[179,x] = F[160,x]
F[180,x] = F[181,x]
F[181,x] = F[182,x]*F[23,x]
F[182,x] = F[183,x]+F[198,x]
F[183,x] = F[141,x]+F[184,x]
F[184,x] = F[185,x]
F[185,x] = F[186,x]*F[23,x]
F[186,x] = -F[192,x]+F[187,x]
F[187,x] = 1/F[23,x]*F[188,x]
F[188,x] = F[189,x]
F[189,x] = -F[141,x]+F[190,x]
F[190,x] = 1/F[23,x]*F[191,x]
F[191,x] = F[10,x]
F[192,x] = F[193,x]
F[193,x] = F[194,x]*F[195,x]*F[23,x]*F[96,x]
F[194,x] = F[138,x]+F[152,x]
F[195,x] = F[14,x]+F[196,x]
F[196,x] = F[197,x]
F[197,x] = F[195,x]*F[23,x]*F[96,x]
F[198,x] = F[156,x]
F[199,x] = F[183,x]*F[23,x]
F[200,x] = F[201,x]
F[201,x] = F[202,x]*F[23,x]
F[202,x] = F[203,x]+F[208,x]
F[203,x] = F[109,x]*F[204,x]
F[204,x] = -F[205,x]+F[143,x]
F[205,x] = F[144,x]+F[206,x]+F[207,x]+F[8,x]
F[206,x] = F[23,x]*F[6,x]
F[207,x] = F[23,x]*F[43,x]
F[208,x] = -F[209,x]+F[183,x]
F[209,x] = F[203,x]+F[210,x]
F[210,x] = F[14,x]*F[5,x]
F[211,x] = F[20,x]*F[6,x]
F[212,x] = F[213,x]*F[36,x]
F[213,x] = 1/F[23,x]*F[214,x]
F[214,x] = F[6,x]
F[215,x] = F[124,x]*F[23,x]
F[216,x] = F[54,x]
F[217,x] = F[218,x]
F[218,x] = 2*F[8,x]+F[219,x]+F[221,x]
F[219,x] = F[220,x]
F[220,x] = F[218,x]*F[23,x]
F[221,x] = -F[155,x]-F[222,x]-F[66,x]+F[90,x]
F[222,x] = F[223,x]
F[223,x] = F[23,x]*F[58,x]
F[224,x] = F[225,x]
F[225,x] = F[23,x]*F[66,x]*F[96,x]
F[226,x] = F[227,x]*F[23,x]
F[227,x] = F[228,x]
F[228,x] = -F[232,x]+F[229,x]
F[229,x] = 1/F[23,x]*F[230,x]
F[230,x] = F[231,x]
F[231,x] = -F[14,x]+F[68,x]
F[232,x] = F[233,x]+F[234,x]
F[233,x] = F[5,x]*F[72,x]
F[234,x] = F[235,x]
F[235,x] = F[23,x]*F[236,x]
F[236,x] = F[237,x]+F[238,x]
F[237,x] = F[72,x]*F[83,x]
F[238,x] = F[239,x]
F[239,x] = F[23,x]*F[240,x]*F[241,x]
F[240,x] = 1/F[23,x]*F[221,x]
F[241,x] = 1/F[23,x]*F[242,x]
F[242,x] = F[107,x]
F[243,x] = F[244,x]
F[244,x] = F[23,x]*F[54,x]
F[245,x] = F[23,x]*F[68,x]
F[246,x] = F[22,x]
F[247,x] = F[248,x]+F[250,x]
F[248,x] = F[15,x]+F[249,x]+F[8,x]
F[249,x] = F[23,x]*F[34,x]
F[250,x] = F[251,x]
F[251,x] = F[23,x]*F[90,x]*F[97,x]
F[252,x] = F[253,x]
F[253,x] = F[23,x]*F[254,x]
F[254,x] = F[255,x]+F[256,x]
F[255,x] = F[36,x]*F[85,x]
F[256,x] = F[257,x]
F[257,x] = F[23,x]*F[258,x]*F[90,x]
F[258,x] = 1/F[23,x]*F[259,x]
F[259,x] = F[124,x]
F[260,x] = F[261,x]
F[261,x] = F[109,x]*F[23,x]*F[90,x]
F[262,x] = F[18,x]*F[23,x]
F[263,x] = F[23,x]*F[36,x]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{23}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{5}\! \left(x \right)+F_{6}\! \left(x \right)
F_{5}\! \left(x \right) = x F_{5} \left(x \right)^{4}+x^{2} F_{5} \left(x \right)^{2}-F_{5} \left(x \right)^{3} x -2 x F_{5} \left(x \right)^{2}-F_{5} \left(x \right)^{3}+2 F_{5}\! \left(x \right) x +3 F_{5} \left(x \right)^{2}-2 F_{5}\! \left(x \right)+1
F_{6}\! \left(x \right) = F_{2}\! \left(x \right)+F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{263}\! \left(x \right)+F_{8}\! \left(x \right)+F_{9}\! \left(x \right)
F_{8}\! \left(x \right) = 0
F_{9}\! \left(x \right) = F_{10}\! \left(x \right) F_{23}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right) F_{23}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)+F_{54}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{15}\! \left(x \right)+F_{262}\! \left(x \right)
F_{14}\! \left(x \right) = F_{10}\! \left(x \right)+F_{4}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right) F_{23}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{260}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{34}\! \left(x \right)
F_{19}\! \left(x \right) = F_{14}\! \left(x \right) F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)+F_{5}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right) F_{24}\! \left(x \right)
F_{23}\! \left(x \right) = x
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)+F_{29}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right) F_{5}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)+F_{5}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{23}\! \left(x \right) F_{24}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{23}\! \left(x \right) F_{24}\! \left(x \right) F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{1}\! \left(x \right)+F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{31} \left(x \right)^{2} F_{23}\! \left(x \right)
F_{34}\! \left(x \right) = F_{252}\! \left(x \right)+F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{20}\! \left(x \right) F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)+F_{6}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{23}\! \left(x \right) F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{247}\! \left(x \right)+F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)+F_{42}\! \left(x \right)
F_{41}\! \left(x \right) = F_{36}\! \left(x \right) F_{5}\! \left(x \right)
F_{42}\! \left(x \right) = F_{31}\! \left(x \right) F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = -F_{246}\! \left(x \right)+F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = \frac{F_{45}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{45}\! \left(x \right) = -F_{245}\! \left(x \right)-F_{47}\! \left(x \right)-F_{8}\! \left(x \right)+F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = -F_{4}\! \left(x \right)+F_{14}\! \left(x \right)
F_{47}\! \left(x \right) = F_{23}\! \left(x \right) F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = -F_{14}\! \left(x \right)+F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{14}\! \left(x \right)+F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{23}\! \left(x \right) F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{17}\! \left(x \right)+F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{224}\! \left(x \right)+F_{226}\! \left(x \right)+F_{243}\! \left(x \right)+F_{55}\! \left(x \right)+F_{8}\! \left(x \right)
F_{55}\! \left(x \right) = F_{23}\! \left(x \right) F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{23}\! \left(x \right) F_{58}\! \left(x \right) F_{96}\! \left(x \right)
F_{58}\! \left(x \right) = F_{216}\! \left(x \right)+F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{217}\! \left(x \right)+F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = -F_{216}\! \left(x \right)+F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = \frac{F_{62}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = -F_{155}\! \left(x \right)-F_{66}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{152}\! \left(x \right)+F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)+F_{76}\! \left(x \right)
F_{66}\! \left(x \right) = F_{1}\! \left(x \right)+F_{67}\! \left(x \right)+F_{71}\! \left(x \right)+F_{75}\! \left(x \right)
F_{67}\! \left(x \right) = F_{23}\! \left(x \right) F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{14}\! \left(x \right)+F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{17}\! \left(x \right) F_{23}\! \left(x \right)
F_{71}\! \left(x \right) = F_{23}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{14}\! \left(x \right)+F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{18}\! \left(x \right) F_{23}\! \left(x \right)
F_{75}\! \left(x \right) = F_{14}\! \left(x \right) F_{23}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{23}\! \left(x \right) F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)+F_{88}\! \left(x \right)
F_{79}\! \left(x \right) = F_{66}\! \left(x \right) F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{5}\! \left(x \right)+F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{23}\! \left(x \right) F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{20}\! \left(x \right)+F_{84}\! \left(x \right)+F_{87}\! \left(x \right)
F_{84}\! \left(x \right) = F_{23}\! \left(x \right) F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = \frac{F_{86}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{86}\! \left(x \right) = F_{36}\! \left(x \right)
F_{87}\! \left(x \right) = F_{23}\! \left(x \right) F_{85}\! \left(x \right)
F_{88}\! \left(x \right) = F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{23}\! \left(x \right) F_{90}\! \left(x \right) F_{92}\! \left(x \right)
F_{90}\! \left(x \right) = \frac{F_{91}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{91}\! \left(x \right) = F_{44}\! \left(x \right)
F_{92}\! \left(x \right) = \frac{F_{93}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{93}\! \left(x \right) = F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{106}\! \left(x \right)+F_{8}\! \left(x \right)+F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{23}\! \left(x \right) F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{31}\! \left(x \right)+F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{101}\! \left(x \right)+F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right) F_{23}\! \left(x \right)
F_{100}\! \left(x \right) = F_{1}\! \left(x \right)+F_{98}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right) F_{23}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)+F_{105}\! \left(x \right)
F_{104}\! \left(x \right) = F_{31}\! \left(x \right) F_{97}\! \left(x \right)
F_{105}\! \left(x \right) = F_{96}\! \left(x \right) F_{97}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right) F_{23}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)+F_{123}\! \left(x \right)+F_{215}\! \left(x \right)+F_{8}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right) F_{23}\! \left(x \right)
F_{109}\! \left(x \right) = F_{1}\! \left(x \right)+F_{110}\! \left(x \right)+F_{111}\! \left(x \right)+F_{122}\! \left(x \right)
F_{110}\! \left(x \right) = F_{109}\! \left(x \right) F_{23}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right) F_{23}\! \left(x \right)
F_{112}\! \left(x \right) = F_{1}\! \left(x \right)+F_{113}\! \left(x \right)+F_{114}\! \left(x \right)+F_{121}\! \left(x \right)
F_{113}\! \left(x \right) = F_{112}\! \left(x \right) F_{23}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right) F_{23}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)+F_{119}\! \left(x \right)
F_{116}\! \left(x \right) = F_{1}\! \left(x \right)+F_{111}\! \left(x \right)+F_{117}\! \left(x \right)+F_{118}\! \left(x \right)
F_{117}\! \left(x \right) = F_{116}\! \left(x \right) F_{23}\! \left(x \right)
F_{118}\! \left(x \right) = F_{116}\! \left(x \right) F_{23}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = F_{115}\! \left(x \right) F_{116}\! \left(x \right) F_{23}\! \left(x \right)
F_{121}\! \left(x \right) = F_{112}\! \left(x \right) F_{23}\! \left(x \right)
F_{122}\! \left(x \right) = F_{115}\! \left(x \right) F_{23}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right) F_{23}\! \left(x \right)
F_{124}\! \left(x \right) = \frac{F_{125}\! \left(x \right)}{F_{194}\! \left(x \right)}
F_{125}\! \left(x \right) = -F_{212}\! \left(x \right)+F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = \frac{F_{127}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)
F_{128}\! \left(x \right) = -F_{211}\! \left(x \right)+F_{129}\! \left(x \right)
F_{129}\! \left(x \right) = \frac{F_{130}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{130}\! \left(x \right) = -F_{200}\! \left(x \right)-F_{6}\! \left(x \right)+F_{131}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)+F_{170}\! \left(x \right)
F_{132}\! \left(x \right) = -F_{158}\! \left(x \right)+F_{133}\! \left(x \right)
F_{133}\! \left(x \right) = \frac{F_{134}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{134}\! \left(x \right) = F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{137}\! \left(x \right)
F_{137}\! \left(x \right) = -F_{163}\! \left(x \right)+F_{138}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)+F_{4}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right) F_{23}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)+F_{180}\! \left(x \right)+F_{199}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)+F_{4}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)+F_{3}\! \left(x \right)+F_{45}\! \left(x \right)+F_{8}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right) F_{23}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right) F_{23}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right)+F_{156}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right)+F_{151}\! \left(x \right)
F_{149}\! \left(x \right) = F_{131}\! \left(x \right)+F_{150}\! \left(x \right)
F_{150}\! \left(x \right) = F_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)+F_{155}\! \left(x \right)+F_{8}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right)
F_{154}\! \left(x \right) = F_{152}\! \left(x \right) F_{23}\! \left(x \right)
F_{155}\! \left(x \right) = F_{23}\! \left(x \right) F_{90}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)+F_{160}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)
F_{159}\! \left(x \right) = F_{137}\! \left(x \right) F_{23}\! \left(x \right) F_{96}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right) F_{23}\! \left(x \right) F_{96}\! \left(x \right)
F_{162}\! \left(x \right) = F_{152}\! \left(x \right)+F_{163}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right)+F_{166}\! \left(x \right)
F_{164}\! \left(x \right) = F_{0}\! \left(x \right) F_{165}\! \left(x \right)
F_{165}\! \left(x \right) = x F_{165} \left(x \right)^{4}+x^{2} F_{165} \left(x \right)^{2}+3 x F_{165} \left(x \right)^{3}+2 x^{2} F_{165}\! \left(x \right)+x F_{165} \left(x \right)^{2}-F_{165} \left(x \right)^{3}+x^{2}-F_{165}\! \left(x \right) x +F_{165}\! \left(x \right)
F_{166}\! \left(x \right) = F_{167}\! \left(x \right)+F_{7}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right) F_{23}\! \left(x \right)
F_{169}\! \left(x \right) = F_{170}\! \left(x \right)+F_{179}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right)+F_{172}\! \left(x \right)
F_{171}\! \left(x \right) = F_{5}\! \left(x \right) F_{7}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right)
F_{173}\! \left(x \right) = F_{174}\! \left(x \right) F_{23}\! \left(x \right)
F_{174}\! \left(x \right) = F_{175}\! \left(x \right)+F_{178}\! \left(x \right)
F_{175}\! \left(x \right) = F_{176}\! \left(x \right) F_{6}\! \left(x \right)
F_{176}\! \left(x \right) = \frac{F_{177}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{177}\! \left(x \right) = F_{7}\! \left(x \right)
F_{178}\! \left(x \right) = F_{107}\! \left(x \right) F_{162}\! \left(x \right)
F_{179}\! \left(x \right) = F_{160}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right)
F_{181}\! \left(x \right) = F_{182}\! \left(x \right) F_{23}\! \left(x \right)
F_{182}\! \left(x \right) = F_{183}\! \left(x \right)+F_{198}\! \left(x \right)
F_{183}\! \left(x \right) = F_{141}\! \left(x \right)+F_{184}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right) F_{23}\! \left(x \right)
F_{186}\! \left(x \right) = -F_{192}\! \left(x \right)+F_{187}\! \left(x \right)
F_{187}\! \left(x \right) = \frac{F_{188}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{188}\! \left(x \right) = F_{189}\! \left(x \right)
F_{189}\! \left(x \right) = -F_{141}\! \left(x \right)+F_{190}\! \left(x \right)
F_{190}\! \left(x \right) = \frac{F_{191}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{191}\! \left(x \right) = F_{10}\! \left(x \right)
F_{192}\! \left(x \right) = F_{193}\! \left(x \right)
F_{193}\! \left(x \right) = F_{194}\! \left(x \right) F_{195}\! \left(x \right) F_{23}\! \left(x \right) F_{96}\! \left(x \right)
F_{194}\! \left(x \right) = F_{138}\! \left(x \right)+F_{152}\! \left(x \right)
F_{195}\! \left(x \right) = F_{14}\! \left(x \right)+F_{196}\! \left(x \right)
F_{196}\! \left(x \right) = F_{197}\! \left(x \right)
F_{197}\! \left(x \right) = F_{195}\! \left(x \right) F_{23}\! \left(x \right) F_{96}\! \left(x \right)
F_{198}\! \left(x \right) = F_{156}\! \left(x \right)
F_{199}\! \left(x \right) = F_{183}\! \left(x \right) F_{23}\! \left(x \right)
F_{200}\! \left(x \right) = F_{201}\! \left(x \right)
F_{201}\! \left(x \right) = F_{202}\! \left(x \right) F_{23}\! \left(x \right)
F_{202}\! \left(x \right) = F_{203}\! \left(x \right)+F_{208}\! \left(x \right)
F_{203}\! \left(x \right) = F_{109}\! \left(x \right) F_{204}\! \left(x \right)
F_{204}\! \left(x \right) = -F_{205}\! \left(x \right)+F_{143}\! \left(x \right)
F_{205}\! \left(x \right) = F_{144}\! \left(x \right)+F_{206}\! \left(x \right)+F_{207}\! \left(x \right)+F_{8}\! \left(x \right)
F_{206}\! \left(x \right) = F_{23}\! \left(x \right) F_{6}\! \left(x \right)
F_{207}\! \left(x \right) = F_{23}\! \left(x \right) F_{43}\! \left(x \right)
F_{208}\! \left(x \right) = -F_{209}\! \left(x \right)+F_{183}\! \left(x \right)
F_{209}\! \left(x \right) = F_{203}\! \left(x \right)+F_{210}\! \left(x \right)
F_{210}\! \left(x \right) = F_{14}\! \left(x \right) F_{5}\! \left(x \right)
F_{211}\! \left(x \right) = F_{20}\! \left(x \right) F_{6}\! \left(x \right)
F_{212}\! \left(x \right) = F_{213}\! \left(x \right) F_{36}\! \left(x \right)
F_{213}\! \left(x \right) = \frac{F_{214}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{214}\! \left(x \right) = F_{6}\! \left(x \right)
F_{215}\! \left(x \right) = F_{124}\! \left(x \right) F_{23}\! \left(x \right)
F_{216}\! \left(x \right) = F_{54}\! \left(x \right)
F_{217}\! \left(x \right) = F_{218}\! \left(x \right)
F_{218}\! \left(x \right) = 2 F_{8}\! \left(x \right)+F_{219}\! \left(x \right)+F_{221}\! \left(x \right)
F_{219}\! \left(x \right) = F_{220}\! \left(x \right)
F_{220}\! \left(x \right) = F_{218}\! \left(x \right) F_{23}\! \left(x \right)
F_{221}\! \left(x \right) = -F_{155}\! \left(x \right)-F_{222}\! \left(x \right)-F_{66}\! \left(x \right)+F_{90}\! \left(x \right)
F_{222}\! \left(x \right) = F_{223}\! \left(x \right)
F_{223}\! \left(x \right) = F_{23}\! \left(x \right) F_{58}\! \left(x \right)
F_{224}\! \left(x \right) = F_{225}\! \left(x \right)
F_{225}\! \left(x \right) = F_{23}\! \left(x \right) F_{66}\! \left(x \right) F_{96}\! \left(x \right)
F_{226}\! \left(x \right) = F_{227}\! \left(x \right) F_{23}\! \left(x \right)
F_{227}\! \left(x \right) = F_{228}\! \left(x \right)
F_{228}\! \left(x \right) = -F_{232}\! \left(x \right)+F_{229}\! \left(x \right)
F_{229}\! \left(x \right) = \frac{F_{230}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{230}\! \left(x \right) = F_{231}\! \left(x \right)
F_{231}\! \left(x \right) = -F_{14}\! \left(x \right)+F_{68}\! \left(x \right)
F_{232}\! \left(x \right) = F_{233}\! \left(x \right)+F_{234}\! \left(x \right)
F_{233}\! \left(x \right) = F_{5}\! \left(x \right) F_{72}\! \left(x \right)
F_{234}\! \left(x \right) = F_{235}\! \left(x \right)
F_{235}\! \left(x \right) = F_{23}\! \left(x \right) F_{236}\! \left(x \right)
F_{236}\! \left(x \right) = F_{237}\! \left(x \right)+F_{238}\! \left(x \right)
F_{237}\! \left(x \right) = F_{72}\! \left(x \right) F_{83}\! \left(x \right)
F_{238}\! \left(x \right) = F_{239}\! \left(x \right)
F_{239}\! \left(x \right) = F_{23}\! \left(x \right) F_{240}\! \left(x \right) F_{241}\! \left(x \right)
F_{240}\! \left(x \right) = \frac{F_{221}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{241}\! \left(x \right) = \frac{F_{242}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{242}\! \left(x \right) = F_{107}\! \left(x \right)
F_{243}\! \left(x \right) = F_{244}\! \left(x \right)
F_{244}\! \left(x \right) = F_{23}\! \left(x \right) F_{54}\! \left(x \right)
F_{245}\! \left(x \right) = F_{23}\! \left(x \right) F_{68}\! \left(x \right)
F_{246}\! \left(x \right) = F_{22}\! \left(x \right)
F_{247}\! \left(x \right) = F_{248}\! \left(x \right)+F_{250}\! \left(x \right)
F_{248}\! \left(x \right) = F_{15}\! \left(x \right)+F_{249}\! \left(x \right)+F_{8}\! \left(x \right)
F_{249}\! \left(x \right) = F_{23}\! \left(x \right) F_{34}\! \left(x \right)
F_{250}\! \left(x \right) = F_{251}\! \left(x \right)
F_{251}\! \left(x \right) = F_{23}\! \left(x \right) F_{90}\! \left(x \right) F_{97}\! \left(x \right)
F_{252}\! \left(x \right) = F_{253}\! \left(x \right)
F_{253}\! \left(x \right) = F_{23}\! \left(x \right) F_{254}\! \left(x \right)
F_{254}\! \left(x \right) = F_{255}\! \left(x \right)+F_{256}\! \left(x \right)
F_{255}\! \left(x \right) = F_{36}\! \left(x \right) F_{85}\! \left(x \right)
F_{256}\! \left(x \right) = F_{257}\! \left(x \right)
F_{257}\! \left(x \right) = F_{23}\! \left(x \right) F_{258}\! \left(x \right) F_{90}\! \left(x \right)
F_{258}\! \left(x \right) = \frac{F_{259}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{259}\! \left(x \right) = F_{124}\! \left(x \right)
F_{260}\! \left(x \right) = F_{261}\! \left(x \right)
F_{261}\! \left(x \right) = F_{109}\! \left(x \right) F_{23}\! \left(x \right) F_{90}\! \left(x \right)
F_{262}\! \left(x \right) = F_{18}\! \left(x \right) F_{23}\! \left(x \right)
F_{263}\! \left(x \right) = F_{23}\! \left(x \right) F_{36}\! \left(x \right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_23(x)*F_4(x))
Eq(F_4(x), F_5(x) + F_6(x))
Eq(F_5(x), x*F_5(x)**4 + (-x - 1)*F_5(x)**3 + (2*x - 2)*F_5(x) + (x**2 - 2*x + 3)*F_5(x)**2 + 1)
Eq(F_6(x), F_2(x) + F_7(x))
Eq(F_7(x), F_263(x) + F_8(x) + F_9(x))
Eq(F_8(x), 0)
Eq(F_9(x), F_10(x)*F_23(x))
Eq(F_10(x), F_11(x))
Eq(F_11(x), F_12(x)*F_23(x))
Eq(F_12(x), F_13(x) + F_54(x))
Eq(F_13(x), F_14(x) + F_15(x) + F_262(x))
Eq(F_14(x), F_10(x) + F_4(x))
Eq(F_15(x), F_16(x))
Eq(F_16(x), F_17(x)*F_23(x))
Eq(F_17(x), F_18(x) + F_260(x))
Eq(F_18(x), F_19(x) + F_34(x))
Eq(F_19(x), F_14(x)*F_20(x))
Eq(F_20(x), F_21(x) + F_5(x))
Eq(F_21(x), F_22(x))
Eq(F_22(x), F_23(x)*F_24(x))
Eq(F_23(x), x)
Eq(F_24(x), F_25(x) + F_29(x))
Eq(F_25(x), F_26(x)*F_5(x))
Eq(F_26(x), F_27(x) + F_5(x))
Eq(F_27(x), F_28(x))
Eq(F_28(x), F_23(x)*F_24(x))
Eq(F_29(x), F_30(x))
Eq(F_30(x), F_23(x)*F_24(x)*F_31(x))
Eq(F_31(x), F_1(x) + F_32(x))
Eq(F_32(x), F_33(x))
Eq(F_33(x), F_23(x)*F_31(x)**2)
Eq(F_34(x), F_252(x) + F_35(x))
Eq(F_35(x), F_20(x)*F_36(x))
Eq(F_36(x), F_37(x) + F_6(x))
Eq(F_37(x), F_38(x))
Eq(F_38(x), F_23(x)*F_39(x))
Eq(F_39(x), F_247(x) + F_40(x))
Eq(F_40(x), F_41(x) + F_42(x))
Eq(F_41(x), F_36(x)*F_5(x))
Eq(F_42(x), F_31(x)*F_43(x))
Eq(F_43(x), -F_246(x) + F_44(x))
Eq(F_44(x), F_45(x)/F_23(x))
Eq(F_45(x), -F_245(x) + F_46(x) - F_47(x) - F_8(x))
Eq(F_46(x), F_14(x) - F_4(x))
Eq(F_47(x), F_23(x)*F_48(x))
Eq(F_48(x), -F_14(x) + F_49(x))
Eq(F_49(x), F_14(x) + F_50(x))
Eq(F_50(x), F_51(x))
Eq(F_51(x), F_23(x)*F_52(x))
Eq(F_52(x), F_17(x) + F_53(x))
Eq(F_53(x), F_54(x))
Eq(F_54(x), F_224(x) + F_226(x) + F_243(x) + F_55(x) + F_8(x))
Eq(F_55(x), F_23(x)*F_56(x))
Eq(F_56(x), F_57(x))
Eq(F_57(x), F_23(x)*F_58(x)*F_96(x))
Eq(F_58(x), F_216(x) + F_59(x))
Eq(F_59(x), F_217(x) + F_60(x))
Eq(F_60(x), -F_216(x) + F_61(x))
Eq(F_61(x), F_62(x)/F_23(x))
Eq(F_62(x), F_63(x))
Eq(F_63(x), -F_155(x) + F_64(x) - F_66(x))
Eq(F_64(x), F_152(x) + F_65(x))
Eq(F_65(x), F_66(x) + F_76(x))
Eq(F_66(x), F_1(x) + F_67(x) + F_71(x) + F_75(x))
Eq(F_67(x), F_23(x)*F_68(x))
Eq(F_68(x), F_14(x) + F_69(x))
Eq(F_69(x), F_70(x))
Eq(F_70(x), F_17(x)*F_23(x))
Eq(F_71(x), F_23(x)*F_72(x))
Eq(F_72(x), F_14(x) + F_73(x))
Eq(F_73(x), F_74(x))
Eq(F_74(x), F_18(x)*F_23(x))
Eq(F_75(x), F_14(x)*F_23(x))
Eq(F_76(x), F_77(x))
Eq(F_77(x), F_23(x)*F_78(x))
Eq(F_78(x), F_79(x) + F_88(x))
Eq(F_79(x), F_66(x)*F_80(x))
Eq(F_80(x), F_5(x) + F_81(x))
Eq(F_81(x), F_82(x))
Eq(F_82(x), F_23(x)*F_83(x))
Eq(F_83(x), F_20(x) + F_84(x) + F_87(x))
Eq(F_84(x), F_23(x)*F_85(x))
Eq(F_85(x), F_86(x)/F_23(x))
Eq(F_86(x), F_36(x))
Eq(F_87(x), F_23(x)*F_85(x))
Eq(F_88(x), F_89(x))
Eq(F_89(x), F_23(x)*F_90(x)*F_92(x))
Eq(F_90(x), F_91(x)/F_23(x))
Eq(F_91(x), F_44(x))
Eq(F_92(x), F_93(x)/F_23(x))
Eq(F_93(x), F_94(x))
Eq(F_94(x), F_106(x) + F_8(x) + F_95(x))
Eq(F_95(x), F_23(x)*F_96(x))
Eq(F_96(x), F_31(x) + F_97(x))
Eq(F_97(x), F_101(x) + F_98(x))
Eq(F_98(x), F_99(x))
Eq(F_99(x), F_100(x)*F_23(x))
Eq(F_100(x), F_1(x) + F_98(x))
Eq(F_101(x), F_102(x))
Eq(F_102(x), F_103(x)*F_23(x))
Eq(F_103(x), F_104(x) + F_105(x))
Eq(F_104(x), F_31(x)*F_97(x))
Eq(F_105(x), F_96(x)*F_97(x))
Eq(F_106(x), F_107(x)*F_23(x))
Eq(F_107(x), F_108(x) + F_123(x) + F_215(x) + F_8(x))
Eq(F_108(x), F_109(x)*F_23(x))
Eq(F_109(x), F_1(x) + F_110(x) + F_111(x) + F_122(x))
Eq(F_110(x), F_109(x)*F_23(x))
Eq(F_111(x), F_112(x)*F_23(x))
Eq(F_112(x), F_1(x) + F_113(x) + F_114(x) + F_121(x))
Eq(F_113(x), F_112(x)*F_23(x))
Eq(F_114(x), F_115(x)*F_23(x))
Eq(F_115(x), F_116(x) + F_119(x))
Eq(F_116(x), F_1(x) + F_111(x) + F_117(x) + F_118(x))
Eq(F_117(x), F_116(x)*F_23(x))
Eq(F_118(x), F_116(x)*F_23(x))
Eq(F_119(x), F_120(x))
Eq(F_120(x), F_115(x)*F_116(x)*F_23(x))
Eq(F_121(x), F_112(x)*F_23(x))
Eq(F_122(x), F_115(x)*F_23(x))
Eq(F_123(x), F_124(x)*F_23(x))
Eq(F_124(x), F_125(x)/F_194(x))
Eq(F_125(x), F_126(x) - F_212(x))
Eq(F_126(x), F_127(x)/F_23(x))
Eq(F_127(x), F_128(x))
Eq(F_128(x), F_129(x) - F_211(x))
Eq(F_129(x), F_130(x)/F_23(x))
Eq(F_130(x), F_131(x) - F_200(x) - F_6(x))
Eq(F_131(x), F_132(x) + F_170(x))
Eq(F_132(x), F_133(x) - F_158(x))
Eq(F_133(x), F_134(x)/F_23(x))
Eq(F_134(x), F_135(x))
Eq(F_135(x), F_136(x) - F_2(x))
Eq(F_136(x), -F_0(x) + F_137(x))
Eq(F_137(x), F_138(x) - F_163(x))
Eq(F_138(x), F_139(x) + F_4(x))
Eq(F_139(x), F_140(x))
Eq(F_140(x), F_141(x)*F_23(x))
Eq(F_141(x), F_142(x) + F_180(x) + F_199(x))
Eq(F_142(x), F_143(x) + F_4(x))
Eq(F_143(x), F_144(x) + F_3(x) + F_45(x) + F_8(x))
Eq(F_144(x), F_145(x)*F_23(x))
Eq(F_145(x), F_146(x))
Eq(F_146(x), F_147(x)*F_23(x))
Eq(F_147(x), F_148(x) + F_156(x))
Eq(F_148(x), F_149(x) + F_151(x))
Eq(F_149(x), F_131(x) + F_150(x))
Eq(F_150(x), F_4(x)*F_5(x))
Eq(F_151(x), F_152(x))
Eq(F_152(x), F_153(x) + F_155(x) + F_8(x))
Eq(F_153(x), F_154(x))
Eq(F_154(x), F_152(x)*F_23(x))
Eq(F_155(x), F_23(x)*F_90(x))
Eq(F_156(x), F_157(x))
Eq(F_157(x), F_158(x) + F_160(x))
Eq(F_158(x), F_159(x))
Eq(F_159(x), F_137(x)*F_23(x)*F_96(x))
Eq(F_160(x), F_161(x))
Eq(F_161(x), F_162(x)*F_23(x)*F_96(x))
Eq(F_162(x), F_152(x) + F_163(x))
Eq(F_163(x), F_164(x) + F_166(x))
Eq(F_164(x), F_0(x)*F_165(x))
Eq(F_165(x), x*(F_165(x) + 1)**4 + (-x - 1)*(F_165(x) + 1)**3 + (2*x - 3)*(F_165(x) + 1) + (F_165(x) + 1)**2*(x**2 - 2*x + 3) + F_165(x) + 1)
Eq(F_166(x), F_167(x) + F_7(x))
Eq(F_167(x), F_168(x))
Eq(F_168(x), F_169(x)*F_23(x))
Eq(F_169(x), F_170(x) + F_179(x))
Eq(F_170(x), F_171(x) + F_172(x))
Eq(F_171(x), F_5(x)*F_7(x))
Eq(F_172(x), F_173(x))
Eq(F_173(x), F_174(x)*F_23(x))
Eq(F_174(x), F_175(x) + F_178(x))
Eq(F_175(x), F_176(x)*F_6(x))
Eq(F_176(x), F_177(x)/F_23(x))
Eq(F_177(x), F_7(x))
Eq(F_178(x), F_107(x)*F_162(x))
Eq(F_179(x), F_160(x))
Eq(F_180(x), F_181(x))
Eq(F_181(x), F_182(x)*F_23(x))
Eq(F_182(x), F_183(x) + F_198(x))
Eq(F_183(x), F_141(x) + F_184(x))
Eq(F_184(x), F_185(x))
Eq(F_185(x), F_186(x)*F_23(x))
Eq(F_186(x), F_187(x) - F_192(x))
Eq(F_187(x), F_188(x)/F_23(x))
Eq(F_188(x), F_189(x))
Eq(F_189(x), -F_141(x) + F_190(x))
Eq(F_190(x), F_191(x)/F_23(x))
Eq(F_191(x), F_10(x))
Eq(F_192(x), F_193(x))
Eq(F_193(x), F_194(x)*F_195(x)*F_23(x)*F_96(x))
Eq(F_194(x), F_138(x) + F_152(x))
Eq(F_195(x), F_14(x) + F_196(x))
Eq(F_196(x), F_197(x))
Eq(F_197(x), F_195(x)*F_23(x)*F_96(x))
Eq(F_198(x), F_156(x))
Eq(F_199(x), F_183(x)*F_23(x))
Eq(F_200(x), F_201(x))
Eq(F_201(x), F_202(x)*F_23(x))
Eq(F_202(x), F_203(x) + F_208(x))
Eq(F_203(x), F_109(x)*F_204(x))
Eq(F_204(x), F_143(x) - F_205(x))
Eq(F_205(x), F_144(x) + F_206(x) + F_207(x) + F_8(x))
Eq(F_206(x), F_23(x)*F_6(x))
Eq(F_207(x), F_23(x)*F_43(x))
Eq(F_208(x), F_183(x) - F_209(x))
Eq(F_209(x), F_203(x) + F_210(x))
Eq(F_210(x), F_14(x)*F_5(x))
Eq(F_211(x), F_20(x)*F_6(x))
Eq(F_212(x), F_213(x)*F_36(x))
Eq(F_213(x), F_214(x)/F_23(x))
Eq(F_214(x), F_6(x))
Eq(F_215(x), F_124(x)*F_23(x))
Eq(F_216(x), F_54(x))
Eq(F_217(x), F_218(x))
Eq(F_218(x), F_219(x) + F_221(x) + 2*F_8(x))
Eq(F_219(x), F_220(x))
Eq(F_220(x), F_218(x)*F_23(x))
Eq(F_221(x), -F_155(x) - F_222(x) - F_66(x) + F_90(x))
Eq(F_222(x), F_223(x))
Eq(F_223(x), F_23(x)*F_58(x))
Eq(F_224(x), F_225(x))
Eq(F_225(x), F_23(x)*F_66(x)*F_96(x))
Eq(F_226(x), F_227(x)*F_23(x))
Eq(F_227(x), F_228(x))
Eq(F_228(x), F_229(x) - F_232(x))
Eq(F_229(x), F_230(x)/F_23(x))
Eq(F_230(x), F_231(x))
Eq(F_231(x), -F_14(x) + F_68(x))
Eq(F_232(x), F_233(x) + F_234(x))
Eq(F_233(x), F_5(x)*F_72(x))
Eq(F_234(x), F_235(x))
Eq(F_235(x), F_23(x)*F_236(x))
Eq(F_236(x), F_237(x) + F_238(x))
Eq(F_237(x), F_72(x)*F_83(x))
Eq(F_238(x), F_239(x))
Eq(F_239(x), F_23(x)*F_240(x)*F_241(x))
Eq(F_240(x), F_221(x)/F_23(x))
Eq(F_241(x), F_242(x)/F_23(x))
Eq(F_242(x), F_107(x))
Eq(F_243(x), F_244(x))
Eq(F_244(x), F_23(x)*F_54(x))
Eq(F_245(x), F_23(x)*F_68(x))
Eq(F_246(x), F_22(x))
Eq(F_247(x), F_248(x) + F_250(x))
Eq(F_248(x), F_15(x) + F_249(x) + F_8(x))
Eq(F_249(x), F_23(x)*F_34(x))
Eq(F_250(x), F_251(x))
Eq(F_251(x), F_23(x)*F_90(x)*F_97(x))
Eq(F_252(x), F_253(x))
Eq(F_253(x), F_23(x)*F_254(x))
Eq(F_254(x), F_255(x) + F_256(x))
Eq(F_255(x), F_36(x)*F_85(x))
Eq(F_256(x), F_257(x))
Eq(F_257(x), F_23(x)*F_258(x)*F_90(x))
Eq(F_258(x), F_259(x)/F_23(x))
Eq(F_259(x), F_124(x))
Eq(F_260(x), F_261(x))
Eq(F_261(x), F_109(x)*F_23(x)*F_90(x))
Eq(F_262(x), F_18(x)*F_23(x))
Eq(F_263(x), F_23(x)*F_36(x))
Pack JSON:
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Specification JSON:
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{"patt": [2, 0, 1], "pos": [[1, 2], [1, 2], [1, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}], [{"patt": [0], "pos": [[2, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0], "pos": [[2, 2]]}, {"patt": [0], "pos": [[3, 0]]}, {"patt": [0], "pos": [[3, 1]]}, {"patt": [0], "pos": [[4, 0]]}, {"patt": [0], "pos": [[4, 2]]}, {"patt": [0, 1], "pos": [[0, 2], [0, 2]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [0, 1], "pos": [[4, 1], [4, 1]]}, {"patt": [1, 0], "pos": [[4, 1], [4, 1]]}, {"patt": [2, 0, 1], "pos": [[2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 1], "pos": [[3, 2], [3, 2], [3, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 0]]}], [{"patt": [0], "pos": [[4, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 2, 0, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 4, 1, 3], [0, 3, 4, 1, 2], [0, 4, 3, 1, 2], [1, 2, 4, 0, 3], [1, 3, 4, 0, 2], [1, 4, 3, 0, 2]], "symmetry": true}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 2, 0, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 4, 1, 3], [0, 3, 4, 1, 2], [0, 4, 3, 1, 2], [1, 2, 4, 0, 3], [1, 3, 4, 0, 2], [1, 4, 3, 0, 2]], "symmetry": true}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 3
Strategy pack name: point_and_row_placements_req_corrob_symmetries
Tree: http://permpal.com/tree/25764/
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[23,x]*F[4,x]
F[4,x] = F[5,x]+F[6,x]
F[5,x] = 1+x*F[5,x]^4+F[5,x]^2*(x^2-2*x+3)+F[5,x]^3*(-1-x)+(-2+2*x)*F[5,x]
F[6,x] = F[2,x]+F[7,x]
F[7,x] = F[263,x]+F[8,x]+F[9,x]
F[8,x] = 0
F[9,x] = F[10,x]*F[23,x]
F[10,x] = F[11,x]
F[11,x] = F[12,x]*F[23,x]
F[12,x] = F[13,x]+F[54,x]
F[13,x] = F[14,x]+F[15,x]+F[262,x]
F[14,x] = F[10,x]+F[4,x]
F[15,x] = F[16,x]
F[16,x] = F[17,x]*F[23,x]
F[17,x] = F[18,x]+F[260,x]
F[18,x] = F[19,x]+F[34,x]
F[19,x] = F[14,x]*F[20,x]
F[20,x] = F[21,x]+F[5,x]
F[21,x] = F[22,x]
F[22,x] = F[23,x]*F[24,x]
F[23,x] = x
F[24,x] = F[25,x]+F[29,x]
F[25,x] = F[26,x]*F[5,x]
F[26,x] = F[27,x]+F[5,x]
F[27,x] = F[28,x]
F[28,x] = F[23,x]*F[24,x]
F[29,x] = F[30,x]
F[30,x] = F[23,x]*F[24,x]*F[31,x]
F[31,x] = F[1,x]+F[32,x]
F[32,x] = F[33,x]
F[33,x] = F[31,x]^2*F[23,x]
F[34,x] = F[252,x]+F[35,x]
F[35,x] = F[20,x]*F[36,x]
F[36,x] = F[37,x]+F[6,x]
F[37,x] = F[38,x]
F[38,x] = F[23,x]*F[39,x]
F[39,x] = F[247,x]+F[40,x]
F[40,x] = F[41,x]+F[42,x]
F[41,x] = F[36,x]*F[5,x]
F[42,x] = F[31,x]*F[43,x]
F[43,x] = -F[246,x]+F[44,x]
F[44,x] = 1/F[23,x]*F[45,x]
F[45,x] = -F[245,x]-F[47,x]-F[8,x]+F[46,x]
F[46,x] = -F[4,x]+F[14,x]
F[47,x] = F[23,x]*F[48,x]
F[48,x] = -F[14,x]+F[49,x]
F[49,x] = F[14,x]+F[50,x]
F[50,x] = F[51,x]
F[51,x] = F[23,x]*F[52,x]
F[52,x] = F[17,x]+F[53,x]
F[53,x] = F[54,x]
F[54,x] = F[224,x]+F[226,x]+F[243,x]+F[55,x]+F[8,x]
F[55,x] = F[23,x]*F[56,x]
F[56,x] = F[57,x]
F[57,x] = F[23,x]*F[58,x]*F[96,x]
F[58,x] = F[216,x]+F[59,x]
F[59,x] = F[217,x]+F[60,x]
F[60,x] = -F[216,x]+F[61,x]
F[61,x] = 1/F[23,x]*F[62,x]
F[62,x] = F[63,x]
F[63,x] = -F[155,x]-F[66,x]+F[64,x]
F[64,x] = F[152,x]+F[65,x]
F[65,x] = F[66,x]+F[76,x]
F[66,x] = F[1,x]+F[67,x]+F[71,x]+F[75,x]
F[67,x] = F[23,x]*F[68,x]
F[68,x] = F[14,x]+F[69,x]
F[69,x] = F[70,x]
F[70,x] = F[17,x]*F[23,x]
F[71,x] = F[23,x]*F[72,x]
F[72,x] = F[14,x]+F[73,x]
F[73,x] = F[74,x]
F[74,x] = F[18,x]*F[23,x]
F[75,x] = F[14,x]*F[23,x]
F[76,x] = F[77,x]
F[77,x] = F[23,x]*F[78,x]
F[78,x] = F[79,x]+F[88,x]
F[79,x] = F[66,x]*F[80,x]
F[80,x] = F[5,x]+F[81,x]
F[81,x] = F[82,x]
F[82,x] = F[23,x]*F[83,x]
F[83,x] = F[20,x]+F[84,x]+F[87,x]
F[84,x] = F[23,x]*F[85,x]
F[85,x] = 1/F[23,x]*F[86,x]
F[86,x] = F[36,x]
F[87,x] = F[23,x]*F[85,x]
F[88,x] = F[89,x]
F[89,x] = F[23,x]*F[90,x]*F[92,x]
F[90,x] = 1/F[23,x]*F[91,x]
F[91,x] = F[44,x]
F[92,x] = 1/F[23,x]*F[93,x]
F[93,x] = F[94,x]
F[94,x] = F[106,x]+F[8,x]+F[95,x]
F[95,x] = F[23,x]*F[96,x]
F[96,x] = F[31,x]+F[97,x]
F[97,x] = F[101,x]+F[98,x]
F[98,x] = F[99,x]
F[99,x] = F[100,x]*F[23,x]
F[100,x] = F[1,x]+F[98,x]
F[101,x] = F[102,x]
F[102,x] = F[103,x]*F[23,x]
F[103,x] = F[104,x]+F[105,x]
F[104,x] = F[31,x]*F[97,x]
F[105,x] = F[96,x]*F[97,x]
F[106,x] = F[107,x]*F[23,x]
F[107,x] = F[108,x]+F[123,x]+F[215,x]+F[8,x]
F[108,x] = F[109,x]*F[23,x]
F[109,x] = F[1,x]+F[110,x]+F[111,x]+F[122,x]
F[110,x] = F[109,x]*F[23,x]
F[111,x] = F[112,x]*F[23,x]
F[112,x] = F[1,x]+F[113,x]+F[114,x]+F[121,x]
F[113,x] = F[112,x]*F[23,x]
F[114,x] = F[115,x]*F[23,x]
F[115,x] = F[116,x]+F[119,x]
F[116,x] = F[1,x]+F[111,x]+F[117,x]+F[118,x]
F[117,x] = F[116,x]*F[23,x]
F[118,x] = F[116,x]*F[23,x]
F[119,x] = F[120,x]
F[120,x] = F[115,x]*F[116,x]*F[23,x]
F[121,x] = F[112,x]*F[23,x]
F[122,x] = F[115,x]*F[23,x]
F[123,x] = F[124,x]*F[23,x]
F[124,x] = 1/F[194,x]*F[125,x]
F[125,x] = -F[212,x]+F[126,x]
F[126,x] = 1/F[23,x]*F[127,x]
F[127,x] = F[128,x]
F[128,x] = -F[211,x]+F[129,x]
F[129,x] = 1/F[23,x]*F[130,x]
F[130,x] = -F[200,x]-F[6,x]+F[131,x]
F[131,x] = F[132,x]+F[170,x]
F[132,x] = -F[158,x]+F[133,x]
F[133,x] = 1/F[23,x]*F[134,x]
F[134,x] = F[135,x]
F[135,x] = -F[2,x]+F[136,x]
F[136,x] = -F[0,x]+F[137,x]
F[137,x] = -F[163,x]+F[138,x]
F[138,x] = F[139,x]+F[4,x]
F[139,x] = F[140,x]
F[140,x] = F[141,x]*F[23,x]
F[141,x] = F[142,x]+F[180,x]+F[199,x]
F[142,x] = F[143,x]+F[4,x]
F[143,x] = F[144,x]+F[3,x]+F[45,x]+F[8,x]
F[144,x] = F[145,x]*F[23,x]
F[145,x] = F[146,x]
F[146,x] = F[147,x]*F[23,x]
F[147,x] = F[148,x]+F[156,x]
F[148,x] = F[149,x]+F[151,x]
F[149,x] = F[131,x]+F[150,x]
F[150,x] = F[4,x]*F[5,x]
F[151,x] = F[152,x]
F[152,x] = F[153,x]+F[155,x]+F[8,x]
F[153,x] = F[154,x]
F[154,x] = F[152,x]*F[23,x]
F[155,x] = F[23,x]*F[90,x]
F[156,x] = F[157,x]
F[157,x] = F[158,x]+F[160,x]
F[158,x] = F[159,x]
F[159,x] = F[137,x]*F[23,x]*F[96,x]
F[160,x] = F[161,x]
F[161,x] = F[162,x]*F[23,x]*F[96,x]
F[162,x] = F[152,x]+F[163,x]
F[163,x] = F[164,x]+F[166,x]
F[164,x] = F[0,x]*F[165,x]
F[165,x] = (x*F[165,x]^3+(2*x-1)*F[165,x]^2+(x^2-x+1)*F[165,x]+x^2)*(1+F[165,x])
F[166,x] = F[167,x]+F[7,x]
F[167,x] = F[168,x]
F[168,x] = F[169,x]*F[23,x]
F[169,x] = F[170,x]+F[179,x]
F[170,x] = F[171,x]+F[172,x]
F[171,x] = F[5,x]*F[7,x]
F[172,x] = F[173,x]
F[173,x] = F[174,x]*F[23,x]
F[174,x] = F[175,x]+F[178,x]
F[175,x] = F[176,x]*F[6,x]
F[176,x] = 1/F[23,x]*F[177,x]
F[177,x] = F[7,x]
F[178,x] = F[107,x]*F[162,x]
F[179,x] = F[160,x]
F[180,x] = F[181,x]
F[181,x] = F[182,x]*F[23,x]
F[182,x] = F[183,x]+F[198,x]
F[183,x] = F[141,x]+F[184,x]
F[184,x] = F[185,x]
F[185,x] = F[186,x]*F[23,x]
F[186,x] = -F[192,x]+F[187,x]
F[187,x] = 1/F[23,x]*F[188,x]
F[188,x] = F[189,x]
F[189,x] = -F[141,x]+F[190,x]
F[190,x] = 1/F[23,x]*F[191,x]
F[191,x] = F[10,x]
F[192,x] = F[193,x]
F[193,x] = F[194,x]*F[195,x]*F[23,x]*F[96,x]
F[194,x] = F[138,x]+F[152,x]
F[195,x] = F[14,x]+F[196,x]
F[196,x] = F[197,x]
F[197,x] = F[195,x]*F[23,x]*F[96,x]
F[198,x] = F[156,x]
F[199,x] = F[183,x]*F[23,x]
F[200,x] = F[201,x]
F[201,x] = F[202,x]*F[23,x]
F[202,x] = F[203,x]+F[208,x]
F[203,x] = F[109,x]*F[204,x]
F[204,x] = -F[205,x]+F[143,x]
F[205,x] = F[144,x]+F[206,x]+F[207,x]+F[8,x]
F[206,x] = F[23,x]*F[6,x]
F[207,x] = F[23,x]*F[43,x]
F[208,x] = -F[209,x]+F[183,x]
F[209,x] = F[203,x]+F[210,x]
F[210,x] = F[14,x]*F[5,x]
F[211,x] = F[20,x]*F[6,x]
F[212,x] = F[213,x]*F[36,x]
F[213,x] = 1/F[23,x]*F[214,x]
F[214,x] = F[6,x]
F[215,x] = F[124,x]*F[23,x]
F[216,x] = F[54,x]
F[217,x] = F[218,x]
F[218,x] = 2*F[8,x]+F[219,x]+F[221,x]
F[219,x] = F[220,x]
F[220,x] = F[218,x]*F[23,x]
F[221,x] = -F[155,x]-F[222,x]-F[66,x]+F[90,x]
F[222,x] = F[223,x]
F[223,x] = F[23,x]*F[58,x]
F[224,x] = F[225,x]
F[225,x] = F[23,x]*F[66,x]*F[96,x]
F[226,x] = F[227,x]*F[23,x]
F[227,x] = F[228,x]
F[228,x] = -F[232,x]+F[229,x]
F[229,x] = 1/F[23,x]*F[230,x]
F[230,x] = F[231,x]
F[231,x] = -F[14,x]+F[68,x]
F[232,x] = F[233,x]+F[234,x]
F[233,x] = F[5,x]*F[72,x]
F[234,x] = F[235,x]
F[235,x] = F[23,x]*F[236,x]
F[236,x] = F[237,x]+F[238,x]
F[237,x] = F[72,x]*F[83,x]
F[238,x] = F[239,x]
F[239,x] = F[23,x]*F[240,x]*F[241,x]
F[240,x] = 1/F[23,x]*F[221,x]
F[241,x] = 1/F[23,x]*F[242,x]
F[242,x] = F[107,x]
F[243,x] = F[244,x]
F[244,x] = F[23,x]*F[54,x]
F[245,x] = F[23,x]*F[68,x]
F[246,x] = F[22,x]
F[247,x] = F[248,x]+F[250,x]
F[248,x] = F[15,x]+F[249,x]+F[8,x]
F[249,x] = F[23,x]*F[34,x]
F[250,x] = F[251,x]
F[251,x] = F[23,x]*F[90,x]*F[97,x]
F[252,x] = F[253,x]
F[253,x] = F[23,x]*F[254,x]
F[254,x] = F[255,x]+F[256,x]
F[255,x] = F[36,x]*F[85,x]
F[256,x] = F[257,x]
F[257,x] = F[23,x]*F[258,x]*F[90,x]
F[258,x] = 1/F[23,x]*F[259,x]
F[259,x] = F[124,x]
F[260,x] = F[261,x]
F[261,x] = F[109,x]*F[23,x]*F[90,x]
F[262,x] = F[18,x]*F[23,x]
F[263,x] = F[23,x]*F[36,x]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{23}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{5}\! \left(x \right)+F_{6}\! \left(x \right)
F_{5}\! \left(x \right) = x F_{5} \left(x \right)^{4}+x^{2} F_{5} \left(x \right)^{2}-F_{5} \left(x \right)^{3} x -2 x F_{5} \left(x \right)^{2}-F_{5} \left(x \right)^{3}+2 F_{5}\! \left(x \right) x +3 F_{5} \left(x \right)^{2}-2 F_{5}\! \left(x \right)+1
F_{6}\! \left(x \right) = F_{2}\! \left(x \right)+F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{263}\! \left(x \right)+F_{8}\! \left(x \right)+F_{9}\! \left(x \right)
F_{8}\! \left(x \right) = 0
F_{9}\! \left(x \right) = F_{10}\! \left(x \right) F_{23}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right) F_{23}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)+F_{54}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{15}\! \left(x \right)+F_{262}\! \left(x \right)
F_{14}\! \left(x \right) = F_{10}\! \left(x \right)+F_{4}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right) F_{23}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{260}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{34}\! \left(x \right)
F_{19}\! \left(x \right) = F_{14}\! \left(x \right) F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)+F_{5}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right) F_{24}\! \left(x \right)
F_{23}\! \left(x \right) = x
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)+F_{29}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right) F_{5}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)+F_{5}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{23}\! \left(x \right) F_{24}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{23}\! \left(x \right) F_{24}\! \left(x \right) F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{1}\! \left(x \right)+F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{31} \left(x \right)^{2} F_{23}\! \left(x \right)
F_{34}\! \left(x \right) = F_{252}\! \left(x \right)+F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{20}\! \left(x \right) F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)+F_{6}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{23}\! \left(x \right) F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{247}\! \left(x \right)+F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)+F_{42}\! \left(x \right)
F_{41}\! \left(x \right) = F_{36}\! \left(x \right) F_{5}\! \left(x \right)
F_{42}\! \left(x \right) = F_{31}\! \left(x \right) F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = -F_{246}\! \left(x \right)+F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = \frac{F_{45}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{45}\! \left(x \right) = -F_{245}\! \left(x \right)-F_{47}\! \left(x \right)-F_{8}\! \left(x \right)+F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = -F_{4}\! \left(x \right)+F_{14}\! \left(x \right)
F_{47}\! \left(x \right) = F_{23}\! \left(x \right) F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = -F_{14}\! \left(x \right)+F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{14}\! \left(x \right)+F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{23}\! \left(x \right) F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{17}\! \left(x \right)+F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{224}\! \left(x \right)+F_{226}\! \left(x \right)+F_{243}\! \left(x \right)+F_{55}\! \left(x \right)+F_{8}\! \left(x \right)
F_{55}\! \left(x \right) = F_{23}\! \left(x \right) F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{23}\! \left(x \right) F_{58}\! \left(x \right) F_{96}\! \left(x \right)
F_{58}\! \left(x \right) = F_{216}\! \left(x \right)+F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{217}\! \left(x \right)+F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = -F_{216}\! \left(x \right)+F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = \frac{F_{62}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = -F_{155}\! \left(x \right)-F_{66}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{152}\! \left(x \right)+F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)+F_{76}\! \left(x \right)
F_{66}\! \left(x \right) = F_{1}\! \left(x \right)+F_{67}\! \left(x \right)+F_{71}\! \left(x \right)+F_{75}\! \left(x \right)
F_{67}\! \left(x \right) = F_{23}\! \left(x \right) F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{14}\! \left(x \right)+F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{17}\! \left(x \right) F_{23}\! \left(x \right)
F_{71}\! \left(x \right) = F_{23}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{14}\! \left(x \right)+F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{18}\! \left(x \right) F_{23}\! \left(x \right)
F_{75}\! \left(x \right) = F_{14}\! \left(x \right) F_{23}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{23}\! \left(x \right) F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)+F_{88}\! \left(x \right)
F_{79}\! \left(x \right) = F_{66}\! \left(x \right) F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{5}\! \left(x \right)+F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{23}\! \left(x \right) F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{20}\! \left(x \right)+F_{84}\! \left(x \right)+F_{87}\! \left(x \right)
F_{84}\! \left(x \right) = F_{23}\! \left(x \right) F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = \frac{F_{86}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{86}\! \left(x \right) = F_{36}\! \left(x \right)
F_{87}\! \left(x \right) = F_{23}\! \left(x \right) F_{85}\! \left(x \right)
F_{88}\! \left(x \right) = F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{23}\! \left(x \right) F_{90}\! \left(x \right) F_{92}\! \left(x \right)
F_{90}\! \left(x \right) = \frac{F_{91}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{91}\! \left(x \right) = F_{44}\! \left(x \right)
F_{92}\! \left(x \right) = \frac{F_{93}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{93}\! \left(x \right) = F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{106}\! \left(x \right)+F_{8}\! \left(x \right)+F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{23}\! \left(x \right) F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{31}\! \left(x \right)+F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{101}\! \left(x \right)+F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right) F_{23}\! \left(x \right)
F_{100}\! \left(x \right) = F_{1}\! \left(x \right)+F_{98}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right) F_{23}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)+F_{105}\! \left(x \right)
F_{104}\! \left(x \right) = F_{31}\! \left(x \right) F_{97}\! \left(x \right)
F_{105}\! \left(x \right) = F_{96}\! \left(x \right) F_{97}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right) F_{23}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)+F_{123}\! \left(x \right)+F_{215}\! \left(x \right)+F_{8}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right) F_{23}\! \left(x \right)
F_{109}\! \left(x \right) = F_{1}\! \left(x \right)+F_{110}\! \left(x \right)+F_{111}\! \left(x \right)+F_{122}\! \left(x \right)
F_{110}\! \left(x \right) = F_{109}\! \left(x \right) F_{23}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right) F_{23}\! \left(x \right)
F_{112}\! \left(x \right) = F_{1}\! \left(x \right)+F_{113}\! \left(x \right)+F_{114}\! \left(x \right)+F_{121}\! \left(x \right)
F_{113}\! \left(x \right) = F_{112}\! \left(x \right) F_{23}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right) F_{23}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)+F_{119}\! \left(x \right)
F_{116}\! \left(x \right) = F_{1}\! \left(x \right)+F_{111}\! \left(x \right)+F_{117}\! \left(x \right)+F_{118}\! \left(x \right)
F_{117}\! \left(x \right) = F_{116}\! \left(x \right) F_{23}\! \left(x \right)
F_{118}\! \left(x \right) = F_{116}\! \left(x \right) F_{23}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = F_{115}\! \left(x \right) F_{116}\! \left(x \right) F_{23}\! \left(x \right)
F_{121}\! \left(x \right) = F_{112}\! \left(x \right) F_{23}\! \left(x \right)
F_{122}\! \left(x \right) = F_{115}\! \left(x \right) F_{23}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right) F_{23}\! \left(x \right)
F_{124}\! \left(x \right) = \frac{F_{125}\! \left(x \right)}{F_{194}\! \left(x \right)}
F_{125}\! \left(x \right) = -F_{212}\! \left(x \right)+F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = \frac{F_{127}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)
F_{128}\! \left(x \right) = -F_{211}\! \left(x \right)+F_{129}\! \left(x \right)
F_{129}\! \left(x \right) = \frac{F_{130}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{130}\! \left(x \right) = -F_{200}\! \left(x \right)-F_{6}\! \left(x \right)+F_{131}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)+F_{170}\! \left(x \right)
F_{132}\! \left(x \right) = -F_{158}\! \left(x \right)+F_{133}\! \left(x \right)
F_{133}\! \left(x \right) = \frac{F_{134}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{134}\! \left(x \right) = F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{137}\! \left(x \right)
F_{137}\! \left(x \right) = -F_{163}\! \left(x \right)+F_{138}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)+F_{4}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right) F_{23}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)+F_{180}\! \left(x \right)+F_{199}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)+F_{4}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)+F_{3}\! \left(x \right)+F_{45}\! \left(x \right)+F_{8}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right) F_{23}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right) F_{23}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right)+F_{156}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right)+F_{151}\! \left(x \right)
F_{149}\! \left(x \right) = F_{131}\! \left(x \right)+F_{150}\! \left(x \right)
F_{150}\! \left(x \right) = F_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)+F_{155}\! \left(x \right)+F_{8}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right)
F_{154}\! \left(x \right) = F_{152}\! \left(x \right) F_{23}\! \left(x \right)
F_{155}\! \left(x \right) = F_{23}\! \left(x \right) F_{90}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)+F_{160}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)
F_{159}\! \left(x \right) = F_{137}\! \left(x \right) F_{23}\! \left(x \right) F_{96}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right) F_{23}\! \left(x \right) F_{96}\! \left(x \right)
F_{162}\! \left(x \right) = F_{152}\! \left(x \right)+F_{163}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right)+F_{166}\! \left(x \right)
F_{164}\! \left(x \right) = F_{0}\! \left(x \right) F_{165}\! \left(x \right)
F_{165}\! \left(x \right) = x F_{165} \left(x \right)^{4}+x^{2} F_{165} \left(x \right)^{2}+3 x F_{165} \left(x \right)^{3}+2 x^{2} F_{165}\! \left(x \right)+x F_{165} \left(x \right)^{2}-F_{165} \left(x \right)^{3}+x^{2}-F_{165}\! \left(x \right) x +F_{165}\! \left(x \right)
F_{166}\! \left(x \right) = F_{167}\! \left(x \right)+F_{7}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right) F_{23}\! \left(x \right)
F_{169}\! \left(x \right) = F_{170}\! \left(x \right)+F_{179}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right)+F_{172}\! \left(x \right)
F_{171}\! \left(x \right) = F_{5}\! \left(x \right) F_{7}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right)
F_{173}\! \left(x \right) = F_{174}\! \left(x \right) F_{23}\! \left(x \right)
F_{174}\! \left(x \right) = F_{175}\! \left(x \right)+F_{178}\! \left(x \right)
F_{175}\! \left(x \right) = F_{176}\! \left(x \right) F_{6}\! \left(x \right)
F_{176}\! \left(x \right) = \frac{F_{177}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{177}\! \left(x \right) = F_{7}\! \left(x \right)
F_{178}\! \left(x \right) = F_{107}\! \left(x \right) F_{162}\! \left(x \right)
F_{179}\! \left(x \right) = F_{160}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right)
F_{181}\! \left(x \right) = F_{182}\! \left(x \right) F_{23}\! \left(x \right)
F_{182}\! \left(x \right) = F_{183}\! \left(x \right)+F_{198}\! \left(x \right)
F_{183}\! \left(x \right) = F_{141}\! \left(x \right)+F_{184}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right) F_{23}\! \left(x \right)
F_{186}\! \left(x \right) = -F_{192}\! \left(x \right)+F_{187}\! \left(x \right)
F_{187}\! \left(x \right) = \frac{F_{188}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{188}\! \left(x \right) = F_{189}\! \left(x \right)
F_{189}\! \left(x \right) = -F_{141}\! \left(x \right)+F_{190}\! \left(x \right)
F_{190}\! \left(x \right) = \frac{F_{191}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{191}\! \left(x \right) = F_{10}\! \left(x \right)
F_{192}\! \left(x \right) = F_{193}\! \left(x \right)
F_{193}\! \left(x \right) = F_{194}\! \left(x \right) F_{195}\! \left(x \right) F_{23}\! \left(x \right) F_{96}\! \left(x \right)
F_{194}\! \left(x \right) = F_{138}\! \left(x \right)+F_{152}\! \left(x \right)
F_{195}\! \left(x \right) = F_{14}\! \left(x \right)+F_{196}\! \left(x \right)
F_{196}\! \left(x \right) = F_{197}\! \left(x \right)
F_{197}\! \left(x \right) = F_{195}\! \left(x \right) F_{23}\! \left(x \right) F_{96}\! \left(x \right)
F_{198}\! \left(x \right) = F_{156}\! \left(x \right)
F_{199}\! \left(x \right) = F_{183}\! \left(x \right) F_{23}\! \left(x \right)
F_{200}\! \left(x \right) = F_{201}\! \left(x \right)
F_{201}\! \left(x \right) = F_{202}\! \left(x \right) F_{23}\! \left(x \right)
F_{202}\! \left(x \right) = F_{203}\! \left(x \right)+F_{208}\! \left(x \right)
F_{203}\! \left(x \right) = F_{109}\! \left(x \right) F_{204}\! \left(x \right)
F_{204}\! \left(x \right) = -F_{205}\! \left(x \right)+F_{143}\! \left(x \right)
F_{205}\! \left(x \right) = F_{144}\! \left(x \right)+F_{206}\! \left(x \right)+F_{207}\! \left(x \right)+F_{8}\! \left(x \right)
F_{206}\! \left(x \right) = F_{23}\! \left(x \right) F_{6}\! \left(x \right)
F_{207}\! \left(x \right) = F_{23}\! \left(x \right) F_{43}\! \left(x \right)
F_{208}\! \left(x \right) = -F_{209}\! \left(x \right)+F_{183}\! \left(x \right)
F_{209}\! \left(x \right) = F_{203}\! \left(x \right)+F_{210}\! \left(x \right)
F_{210}\! \left(x \right) = F_{14}\! \left(x \right) F_{5}\! \left(x \right)
F_{211}\! \left(x \right) = F_{20}\! \left(x \right) F_{6}\! \left(x \right)
F_{212}\! \left(x \right) = F_{213}\! \left(x \right) F_{36}\! \left(x \right)
F_{213}\! \left(x \right) = \frac{F_{214}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{214}\! \left(x \right) = F_{6}\! \left(x \right)
F_{215}\! \left(x \right) = F_{124}\! \left(x \right) F_{23}\! \left(x \right)
F_{216}\! \left(x \right) = F_{54}\! \left(x \right)
F_{217}\! \left(x \right) = F_{218}\! \left(x \right)
F_{218}\! \left(x \right) = 2 F_{8}\! \left(x \right)+F_{219}\! \left(x \right)+F_{221}\! \left(x \right)
F_{219}\! \left(x \right) = F_{220}\! \left(x \right)
F_{220}\! \left(x \right) = F_{218}\! \left(x \right) F_{23}\! \left(x \right)
F_{221}\! \left(x \right) = -F_{155}\! \left(x \right)-F_{222}\! \left(x \right)-F_{66}\! \left(x \right)+F_{90}\! \left(x \right)
F_{222}\! \left(x \right) = F_{223}\! \left(x \right)
F_{223}\! \left(x \right) = F_{23}\! \left(x \right) F_{58}\! \left(x \right)
F_{224}\! \left(x \right) = F_{225}\! \left(x \right)
F_{225}\! \left(x \right) = F_{23}\! \left(x \right) F_{66}\! \left(x \right) F_{96}\! \left(x \right)
F_{226}\! \left(x \right) = F_{227}\! \left(x \right) F_{23}\! \left(x \right)
F_{227}\! \left(x \right) = F_{228}\! \left(x \right)
F_{228}\! \left(x \right) = -F_{232}\! \left(x \right)+F_{229}\! \left(x \right)
F_{229}\! \left(x \right) = \frac{F_{230}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{230}\! \left(x \right) = F_{231}\! \left(x \right)
F_{231}\! \left(x \right) = -F_{14}\! \left(x \right)+F_{68}\! \left(x \right)
F_{232}\! \left(x \right) = F_{233}\! \left(x \right)+F_{234}\! \left(x \right)
F_{233}\! \left(x \right) = F_{5}\! \left(x \right) F_{72}\! \left(x \right)
F_{234}\! \left(x \right) = F_{235}\! \left(x \right)
F_{235}\! \left(x \right) = F_{23}\! \left(x \right) F_{236}\! \left(x \right)
F_{236}\! \left(x \right) = F_{237}\! \left(x \right)+F_{238}\! \left(x \right)
F_{237}\! \left(x \right) = F_{72}\! \left(x \right) F_{83}\! \left(x \right)
F_{238}\! \left(x \right) = F_{239}\! \left(x \right)
F_{239}\! \left(x \right) = F_{23}\! \left(x \right) F_{240}\! \left(x \right) F_{241}\! \left(x \right)
F_{240}\! \left(x \right) = \frac{F_{221}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{241}\! \left(x \right) = \frac{F_{242}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{242}\! \left(x \right) = F_{107}\! \left(x \right)
F_{243}\! \left(x \right) = F_{244}\! \left(x \right)
F_{244}\! \left(x \right) = F_{23}\! \left(x \right) F_{54}\! \left(x \right)
F_{245}\! \left(x \right) = F_{23}\! \left(x \right) F_{68}\! \left(x \right)
F_{246}\! \left(x \right) = F_{22}\! \left(x \right)
F_{247}\! \left(x \right) = F_{248}\! \left(x \right)+F_{250}\! \left(x \right)
F_{248}\! \left(x \right) = F_{15}\! \left(x \right)+F_{249}\! \left(x \right)+F_{8}\! \left(x \right)
F_{249}\! \left(x \right) = F_{23}\! \left(x \right) F_{34}\! \left(x \right)
F_{250}\! \left(x \right) = F_{251}\! \left(x \right)
F_{251}\! \left(x \right) = F_{23}\! \left(x \right) F_{90}\! \left(x \right) F_{97}\! \left(x \right)
F_{252}\! \left(x \right) = F_{253}\! \left(x \right)
F_{253}\! \left(x \right) = F_{23}\! \left(x \right) F_{254}\! \left(x \right)
F_{254}\! \left(x \right) = F_{255}\! \left(x \right)+F_{256}\! \left(x \right)
F_{255}\! \left(x \right) = F_{36}\! \left(x \right) F_{85}\! \left(x \right)
F_{256}\! \left(x \right) = F_{257}\! \left(x \right)
F_{257}\! \left(x \right) = F_{23}\! \left(x \right) F_{258}\! \left(x \right) F_{90}\! \left(x \right)
F_{258}\! \left(x \right) = \frac{F_{259}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{259}\! \left(x \right) = F_{124}\! \left(x \right)
F_{260}\! \left(x \right) = F_{261}\! \left(x \right)
F_{261}\! \left(x \right) = F_{109}\! \left(x \right) F_{23}\! \left(x \right) F_{90}\! \left(x \right)
F_{262}\! \left(x \right) = F_{18}\! \left(x \right) F_{23}\! \left(x \right)
F_{263}\! \left(x \right) = F_{23}\! \left(x \right) F_{36}\! \left(x \right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_23(x)*F_4(x))
Eq(F_4(x), F_5(x) + F_6(x))
Eq(F_5(x), x*F_5(x)**4 + (-x - 1)*F_5(x)**3 + (2*x - 2)*F_5(x) + (x**2 - 2*x + 3)*F_5(x)**2 + 1)
Eq(F_6(x), F_2(x) + F_7(x))
Eq(F_7(x), F_263(x) + F_8(x) + F_9(x))
Eq(F_8(x), 0)
Eq(F_9(x), F_10(x)*F_23(x))
Eq(F_10(x), F_11(x))
Eq(F_11(x), F_12(x)*F_23(x))
Eq(F_12(x), F_13(x) + F_54(x))
Eq(F_13(x), F_14(x) + F_15(x) + F_262(x))
Eq(F_14(x), F_10(x) + F_4(x))
Eq(F_15(x), F_16(x))
Eq(F_16(x), F_17(x)*F_23(x))
Eq(F_17(x), F_18(x) + F_260(x))
Eq(F_18(x), F_19(x) + F_34(x))
Eq(F_19(x), F_14(x)*F_20(x))
Eq(F_20(x), F_21(x) + F_5(x))
Eq(F_21(x), F_22(x))
Eq(F_22(x), F_23(x)*F_24(x))
Eq(F_23(x), x)
Eq(F_24(x), F_25(x) + F_29(x))
Eq(F_25(x), F_26(x)*F_5(x))
Eq(F_26(x), F_27(x) + F_5(x))
Eq(F_27(x), F_28(x))
Eq(F_28(x), F_23(x)*F_24(x))
Eq(F_29(x), F_30(x))
Eq(F_30(x), F_23(x)*F_24(x)*F_31(x))
Eq(F_31(x), F_1(x) + F_32(x))
Eq(F_32(x), F_33(x))
Eq(F_33(x), F_23(x)*F_31(x)**2)
Eq(F_34(x), F_252(x) + F_35(x))
Eq(F_35(x), F_20(x)*F_36(x))
Eq(F_36(x), F_37(x) + F_6(x))
Eq(F_37(x), F_38(x))
Eq(F_38(x), F_23(x)*F_39(x))
Eq(F_39(x), F_247(x) + F_40(x))
Eq(F_40(x), F_41(x) + F_42(x))
Eq(F_41(x), F_36(x)*F_5(x))
Eq(F_42(x), F_31(x)*F_43(x))
Eq(F_43(x), -F_246(x) + F_44(x))
Eq(F_44(x), F_45(x)/F_23(x))
Eq(F_45(x), -F_245(x) + F_46(x) - F_47(x) - F_8(x))
Eq(F_46(x), F_14(x) - F_4(x))
Eq(F_47(x), F_23(x)*F_48(x))
Eq(F_48(x), -F_14(x) + F_49(x))
Eq(F_49(x), F_14(x) + F_50(x))
Eq(F_50(x), F_51(x))
Eq(F_51(x), F_23(x)*F_52(x))
Eq(F_52(x), F_17(x) + F_53(x))
Eq(F_53(x), F_54(x))
Eq(F_54(x), F_224(x) + F_226(x) + F_243(x) + F_55(x) + F_8(x))
Eq(F_55(x), F_23(x)*F_56(x))
Eq(F_56(x), F_57(x))
Eq(F_57(x), F_23(x)*F_58(x)*F_96(x))
Eq(F_58(x), F_216(x) + F_59(x))
Eq(F_59(x), F_217(x) + F_60(x))
Eq(F_60(x), -F_216(x) + F_61(x))
Eq(F_61(x), F_62(x)/F_23(x))
Eq(F_62(x), F_63(x))
Eq(F_63(x), -F_155(x) + F_64(x) - F_66(x))
Eq(F_64(x), F_152(x) + F_65(x))
Eq(F_65(x), F_66(x) + F_76(x))
Eq(F_66(x), F_1(x) + F_67(x) + F_71(x) + F_75(x))
Eq(F_67(x), F_23(x)*F_68(x))
Eq(F_68(x), F_14(x) + F_69(x))
Eq(F_69(x), F_70(x))
Eq(F_70(x), F_17(x)*F_23(x))
Eq(F_71(x), F_23(x)*F_72(x))
Eq(F_72(x), F_14(x) + F_73(x))
Eq(F_73(x), F_74(x))
Eq(F_74(x), F_18(x)*F_23(x))
Eq(F_75(x), F_14(x)*F_23(x))
Eq(F_76(x), F_77(x))
Eq(F_77(x), F_23(x)*F_78(x))
Eq(F_78(x), F_79(x) + F_88(x))
Eq(F_79(x), F_66(x)*F_80(x))
Eq(F_80(x), F_5(x) + F_81(x))
Eq(F_81(x), F_82(x))
Eq(F_82(x), F_23(x)*F_83(x))
Eq(F_83(x), F_20(x) + F_84(x) + F_87(x))
Eq(F_84(x), F_23(x)*F_85(x))
Eq(F_85(x), F_86(x)/F_23(x))
Eq(F_86(x), F_36(x))
Eq(F_87(x), F_23(x)*F_85(x))
Eq(F_88(x), F_89(x))
Eq(F_89(x), F_23(x)*F_90(x)*F_92(x))
Eq(F_90(x), F_91(x)/F_23(x))
Eq(F_91(x), F_44(x))
Eq(F_92(x), F_93(x)/F_23(x))
Eq(F_93(x), F_94(x))
Eq(F_94(x), F_106(x) + F_8(x) + F_95(x))
Eq(F_95(x), F_23(x)*F_96(x))
Eq(F_96(x), F_31(x) + F_97(x))
Eq(F_97(x), F_101(x) + F_98(x))
Eq(F_98(x), F_99(x))
Eq(F_99(x), F_100(x)*F_23(x))
Eq(F_100(x), F_1(x) + F_98(x))
Eq(F_101(x), F_102(x))
Eq(F_102(x), F_103(x)*F_23(x))
Eq(F_103(x), F_104(x) + F_105(x))
Eq(F_104(x), F_31(x)*F_97(x))
Eq(F_105(x), F_96(x)*F_97(x))
Eq(F_106(x), F_107(x)*F_23(x))
Eq(F_107(x), F_108(x) + F_123(x) + F_215(x) + F_8(x))
Eq(F_108(x), F_109(x)*F_23(x))
Eq(F_109(x), F_1(x) + F_110(x) + F_111(x) + F_122(x))
Eq(F_110(x), F_109(x)*F_23(x))
Eq(F_111(x), F_112(x)*F_23(x))
Eq(F_112(x), F_1(x) + F_113(x) + F_114(x) + F_121(x))
Eq(F_113(x), F_112(x)*F_23(x))
Eq(F_114(x), F_115(x)*F_23(x))
Eq(F_115(x), F_116(x) + F_119(x))
Eq(F_116(x), F_1(x) + F_111(x) + F_117(x) + F_118(x))
Eq(F_117(x), F_116(x)*F_23(x))
Eq(F_118(x), F_116(x)*F_23(x))
Eq(F_119(x), F_120(x))
Eq(F_120(x), F_115(x)*F_116(x)*F_23(x))
Eq(F_121(x), F_112(x)*F_23(x))
Eq(F_122(x), F_115(x)*F_23(x))
Eq(F_123(x), F_124(x)*F_23(x))
Eq(F_124(x), F_125(x)/F_194(x))
Eq(F_125(x), F_126(x) - F_212(x))
Eq(F_126(x), F_127(x)/F_23(x))
Eq(F_127(x), F_128(x))
Eq(F_128(x), F_129(x) - F_211(x))
Eq(F_129(x), F_130(x)/F_23(x))
Eq(F_130(x), F_131(x) - F_200(x) - F_6(x))
Eq(F_131(x), F_132(x) + F_170(x))
Eq(F_132(x), F_133(x) - F_158(x))
Eq(F_133(x), F_134(x)/F_23(x))
Eq(F_134(x), F_135(x))
Eq(F_135(x), F_136(x) - F_2(x))
Eq(F_136(x), -F_0(x) + F_137(x))
Eq(F_137(x), F_138(x) - F_163(x))
Eq(F_138(x), F_139(x) + F_4(x))
Eq(F_139(x), F_140(x))
Eq(F_140(x), F_141(x)*F_23(x))
Eq(F_141(x), F_142(x) + F_180(x) + F_199(x))
Eq(F_142(x), F_143(x) + F_4(x))
Eq(F_143(x), F_144(x) + F_3(x) + F_45(x) + F_8(x))
Eq(F_144(x), F_145(x)*F_23(x))
Eq(F_145(x), F_146(x))
Eq(F_146(x), F_147(x)*F_23(x))
Eq(F_147(x), F_148(x) + F_156(x))
Eq(F_148(x), F_149(x) + F_151(x))
Eq(F_149(x), F_131(x) + F_150(x))
Eq(F_150(x), F_4(x)*F_5(x))
Eq(F_151(x), F_152(x))
Eq(F_152(x), F_153(x) + F_155(x) + F_8(x))
Eq(F_153(x), F_154(x))
Eq(F_154(x), F_152(x)*F_23(x))
Eq(F_155(x), F_23(x)*F_90(x))
Eq(F_156(x), F_157(x))
Eq(F_157(x), F_158(x) + F_160(x))
Eq(F_158(x), F_159(x))
Eq(F_159(x), F_137(x)*F_23(x)*F_96(x))
Eq(F_160(x), F_161(x))
Eq(F_161(x), F_162(x)*F_23(x)*F_96(x))
Eq(F_162(x), F_152(x) + F_163(x))
Eq(F_163(x), F_164(x) + F_166(x))
Eq(F_164(x), F_0(x)*F_165(x))
Eq(F_165(x), x*(F_165(x) + 1)**4 + (-x - 1)*(F_165(x) + 1)**3 + (2*x - 3)*(F_165(x) + 1) + (F_165(x) + 1)**2*(x**2 - 2*x + 3) + F_165(x) + 1)
Eq(F_166(x), F_167(x) + F_7(x))
Eq(F_167(x), F_168(x))
Eq(F_168(x), F_169(x)*F_23(x))
Eq(F_169(x), F_170(x) + F_179(x))
Eq(F_170(x), F_171(x) + F_172(x))
Eq(F_171(x), F_5(x)*F_7(x))
Eq(F_172(x), F_173(x))
Eq(F_173(x), F_174(x)*F_23(x))
Eq(F_174(x), F_175(x) + F_178(x))
Eq(F_175(x), F_176(x)*F_6(x))
Eq(F_176(x), F_177(x)/F_23(x))
Eq(F_177(x), F_7(x))
Eq(F_178(x), F_107(x)*F_162(x))
Eq(F_179(x), F_160(x))
Eq(F_180(x), F_181(x))
Eq(F_181(x), F_182(x)*F_23(x))
Eq(F_182(x), F_183(x) + F_198(x))
Eq(F_183(x), F_141(x) + F_184(x))
Eq(F_184(x), F_185(x))
Eq(F_185(x), F_186(x)*F_23(x))
Eq(F_186(x), F_187(x) - F_192(x))
Eq(F_187(x), F_188(x)/F_23(x))
Eq(F_188(x), F_189(x))
Eq(F_189(x), -F_141(x) + F_190(x))
Eq(F_190(x), F_191(x)/F_23(x))
Eq(F_191(x), F_10(x))
Eq(F_192(x), F_193(x))
Eq(F_193(x), F_194(x)*F_195(x)*F_23(x)*F_96(x))
Eq(F_194(x), F_138(x) + F_152(x))
Eq(F_195(x), F_14(x) + F_196(x))
Eq(F_196(x), F_197(x))
Eq(F_197(x), F_195(x)*F_23(x)*F_96(x))
Eq(F_198(x), F_156(x))
Eq(F_199(x), F_183(x)*F_23(x))
Eq(F_200(x), F_201(x))
Eq(F_201(x), F_202(x)*F_23(x))
Eq(F_202(x), F_203(x) + F_208(x))
Eq(F_203(x), F_109(x)*F_204(x))
Eq(F_204(x), F_143(x) - F_205(x))
Eq(F_205(x), F_144(x) + F_206(x) + F_207(x) + F_8(x))
Eq(F_206(x), F_23(x)*F_6(x))
Eq(F_207(x), F_23(x)*F_43(x))
Eq(F_208(x), F_183(x) - F_209(x))
Eq(F_209(x), F_203(x) + F_210(x))
Eq(F_210(x), F_14(x)*F_5(x))
Eq(F_211(x), F_20(x)*F_6(x))
Eq(F_212(x), F_213(x)*F_36(x))
Eq(F_213(x), F_214(x)/F_23(x))
Eq(F_214(x), F_6(x))
Eq(F_215(x), F_124(x)*F_23(x))
Eq(F_216(x), F_54(x))
Eq(F_217(x), F_218(x))
Eq(F_218(x), F_219(x) + F_221(x) + 2*F_8(x))
Eq(F_219(x), F_220(x))
Eq(F_220(x), F_218(x)*F_23(x))
Eq(F_221(x), -F_155(x) - F_222(x) - F_66(x) + F_90(x))
Eq(F_222(x), F_223(x))
Eq(F_223(x), F_23(x)*F_58(x))
Eq(F_224(x), F_225(x))
Eq(F_225(x), F_23(x)*F_66(x)*F_96(x))
Eq(F_226(x), F_227(x)*F_23(x))
Eq(F_227(x), F_228(x))
Eq(F_228(x), F_229(x) - F_232(x))
Eq(F_229(x), F_230(x)/F_23(x))
Eq(F_230(x), F_231(x))
Eq(F_231(x), -F_14(x) + F_68(x))
Eq(F_232(x), F_233(x) + F_234(x))
Eq(F_233(x), F_5(x)*F_72(x))
Eq(F_234(x), F_235(x))
Eq(F_235(x), F_23(x)*F_236(x))
Eq(F_236(x), F_237(x) + F_238(x))
Eq(F_237(x), F_72(x)*F_83(x))
Eq(F_238(x), F_239(x))
Eq(F_239(x), F_23(x)*F_240(x)*F_241(x))
Eq(F_240(x), F_221(x)/F_23(x))
Eq(F_241(x), F_242(x)/F_23(x))
Eq(F_242(x), F_107(x))
Eq(F_243(x), F_244(x))
Eq(F_244(x), F_23(x)*F_54(x))
Eq(F_245(x), F_23(x)*F_68(x))
Eq(F_246(x), F_22(x))
Eq(F_247(x), F_248(x) + F_250(x))
Eq(F_248(x), F_15(x) + F_249(x) + F_8(x))
Eq(F_249(x), F_23(x)*F_34(x))
Eq(F_250(x), F_251(x))
Eq(F_251(x), F_23(x)*F_90(x)*F_97(x))
Eq(F_252(x), F_253(x))
Eq(F_253(x), F_23(x)*F_254(x))
Eq(F_254(x), F_255(x) + F_256(x))
Eq(F_255(x), F_36(x)*F_85(x))
Eq(F_256(x), F_257(x))
Eq(F_257(x), F_23(x)*F_258(x)*F_90(x))
Eq(F_258(x), F_259(x)/F_23(x))
Eq(F_259(x), F_124(x))
Eq(F_260(x), F_261(x))
Eq(F_261(x), F_109(x)*F_23(x)*F_90(x))
Eq(F_262(x), F_18(x)*F_23(x))
Eq(F_263(x), F_23(x)*F_36(x))
Pack JSON:
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Specification JSON:
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