01324_01342_01432_03124_03142_03214_03241_03412_03421_04132_04312_04321

Counting sequence:
1, 1, 2, 6, 24, 108, 512, 2498, 12410, 62410, 316576, 1615962, 8287620, 42657584, 220184686, 1139068350, 5903296104, 30639130652, 159214569482, 828180601878, 4311541554800, 22462004362692, 117091830577516, 610701363646246, 3186573921462074, 16633581222489538, 86854484514107972, 453654197305871838, 2370107843874686820, 12385352245321407240, 64734262598500139524, 338404195151444255738, 1769311921796870901930, 9251939262070723430826, 48385404236070280898884, 253071680059338323622698, 1323778535801034545952432, 6925089171320009238365028, 36230122616742189468544000, 189559359378543845192741030, 991856028098724057134850270, 5190119244560396611618681710, 27159948360582435131553861760, 142135092458961376250959757390, 743862316577954579474724351660, 3893148383801095259298804671280, 20376283655368012776414858850150, 106650584937096703217787400605770, 558231714511643842565337207955140, 2921982766695413337926506301315160, 15295076768353859150786550800792386, 80063693779207493185125625341658082, 419110657546530393913513217265880320, 2193967318765082588664738843270427404, 11485219162935874678417348866385892756, 60125054230011131974053452803794400058, 314759009756920007386796670394145598710, 1647808878101725035297706282159344933262, 8626626882677695749862839144564268103164, 45162738510354793459911262384729301492706, 236441772482643408481918280163975269234756, 1237862678647095308197665012836591833792016, 6480741920870316499385962553285175223674302, 33929751421507153090666541605691228177496686, 177639705436127080391583194553969302898228264, 930042022535767476606349843915506396057363580, 4869316753711993329890888059485237675553723306, 25493895051085768497746222794828815225636757798, 133477134528561805404468732242206464725937301488, 698843431548969344246222171512816775315493154852, 3658938115785188093913334551234776540897082479920, 19157209551143616876244453581646248362449555614118, 100302394555927067742546124497597897293502002008094, 525160540339744242115653632850052842667543445480494, 2749631431725090978995182927927935177188190296312336, 14396548346140488237979520723729467584218452172725230, 75377837032748003527561145773889447575779668449661964, 394666496808995976195124466769304324304609966022780432, 2066417443705621039382498173604700289514361618034091642, 10819494837494208562882656176213011130114229606543651578, 56649614420838483000727743353032133897955211816357601960, 296611449190844291117639536504179337557747492654746565412, 1553029751479154410653129856010178694116880345374405557806, 8131534173516203028795339285834359252700861991525301063106, 42576112185176459278662857638994579629025994006737819798544, 222925758447184912488746128199197548713715140611300528340300, 1167226654451514044795938470620357253072842893828894026154516, 6111541800022351618507019949871850002005389231381686175378898, 31999779118548104166732459374112083499879040605281799196090398, 167549732652236911417113363585720386634660860890381165324369622, 877285650042245418964229476767958651699910572528608012681129340, 4593448011638329342240972844722658296601254749581806366157502138, 24051216454080976097925890370571602345027013662307483659606975804, 125931889653815546935143617585426953823922968635891073186583129224, 659378523322774556676098357809862066191775065727255747048404199896, 3452504500187095174667172662153492867924165090289021556635348348510, 18077320725206816795059671470869961518764087963263841751705579815114, 94652961115438619530242734343134659680131160488635820772831083064962, 495603833903009912378856310824738726025456843443681618947286778551712, 2594988280815596696495251801293614587146846901019218906122635504533278, 13587401766308091247400797800956420913974042476941035633004699544462320

Generating function in Maple syntax:
(5*x^4-24*x^3+46*x^2+(x^3-6*x^2+7*x-1)*(5*x^2-6*x+1)^(1/2)-34*x+5)/(4*x^4-22*x^3+41*x^2-28*x+4)

Generating function in latex syntax:
\frac{5 x^{4}-24 x^{3}+46 x^{2}+\left(x^{3}-6 x^{2}+7 x -1\right) \sqrt{5 x^{2}-6 x +1}-34 x +5}{4 x^{4}-22 x^{3}+41 x^{2}-28 x +4}

Generating function in sympy syntax:
(5*x**4 - 24*x**3 + 46*x**2 - 34*x + sqrt(5*x**2 - 6*x + 1)*(x**3 - 6*x**2 + 7*x - 1) + 5)/(4*x**4 - 22*x**3 + 41*x**2 - 28*x + 4)

Implicit equation for the generating function in Maple syntax:
(4*x^2-6*x+1)*(-2+x)^2*F(x)^2+(-10*x^4+48*x^3-92*x^2+68*x-10)*F(x)+5*x^4-16*x^3+39*x^2-38*x+6 = 0

Implicit equation for the generating function in latex syntax:
\left(4 x^{2}-6 x +1\right) \left(-2+x \right)^{2} F \! \left(x \right)^{2}+\left(-10 x^{4}+48 x^{3}-92 x^{2}+68 x -10\right) F \! \left(x \right)+5 x^{4}-16 x^{3}+39 x^{2}-38 x +6 = 0

Recurrence in maple format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 24
a(5) = 108
a(6) = 512
a(7) = 2498
a(n+8) = -10*n/(n+8)*a(n)+(118+107*n)/(n+8)*a(n+1)-1/2*(1694+857*n)/(n+8)*a(n+2)+3/2*(1603+566*n)/(n+8)*a(n+3)-1/2*(6725+1802*n)/(n+8)*a(n+4)+1/2*(4789+1019*n)/(n+8)*a(n+5)-1/2*(1660+289*n)/(n+8)*a(n+6)+3/2*(89+13*n)/(n+8)*a(n+7), n >= 8

Recurrence in latex format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 24
a(5) = 108
a(6) = 512
a(7) = 2498
a{\left(n + 8 \right)} = - \frac{10 n a{\left(n \right)}}{n + 8} + \frac{3 \left(13 n + 89\right) a{\left(n + 7 \right)}}{2 \left(n + 8\right)} + \frac{\left(107 n + 118\right) a{\left(n + 1 \right)}}{n + 8} - \frac{\left(289 n + 1660\right) a{\left(n + 6 \right)}}{2 \left(n + 8\right)} + \frac{3 \left(566 n + 1603\right) a{\left(n + 3 \right)}}{2 \left(n + 8\right)} - \frac{\left(857 n + 1694\right) a{\left(n + 2 \right)}}{2 \left(n + 8\right)} + \frac{\left(1019 n + 4789\right) a{\left(n + 5 \right)}}{2 \left(n + 8\right)} - \frac{\left(1802 n + 6725\right) a{\left(n + 4 \right)}}{2 \left(n + 8\right)}, \quad n \geq 8

Specification 1
Strategy pack name: point_and_col_placements_req_corrob
Tree: http://permpal.com/tree/24451/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[4,x]*F[5,x]
F[4,x] = x
F[5,x] = F[0,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[2,x]+F[8,x]
F[8,x] = F[9,x]
F[9,x] = F[10,x]
F[10,x] = F[11,x]*F[4,x]
F[11,x] = F[12,x]+F[79,x]
F[12,x] = F[13,x]
F[13,x] = F[14,x]*F[4,x]
F[14,x] = F[15,x]+F[75,x]
F[15,x] = 1/F[4,x]*F[16,x]
F[16,x] = F[17,x]
F[17,x] = F[18,x]+F[71,x]
F[18,x] = F[19,x]
F[19,x] = F[20,x]*F[4,x]
F[20,x] = F[21,x]+F[23,x]
F[21,x] = 1/F[4,x]*F[22,x]
F[22,x] = F[2,x]
F[23,x] = -F[63,x]+F[24,x]
F[24,x] = 1/F[4,x]*F[25,x]
F[25,x] = F[26,x]
F[26,x] = F[27,x]*F[4,x]
F[27,x] = F[28,x]+F[58,x]
F[28,x] = F[29,x]
F[29,x] = F[30,x]*F[4,x]
F[30,x] = F[31,x]+F[53,x]
F[31,x] = F[32,x]*F[40,x]
F[32,x] = F[33,x]+F[36,x]
F[33,x] = 1/F[4,x]*F[34,x]
F[34,x] = F[35,x]
F[35,x] = (x*F[35,x]+x-2*F[35,x])*(x*F[35,x]+x-1)
F[36,x] = F[37,x]
F[37,x] = F[38,x]
F[38,x] = F[39,x]*F[4,x]*F[52,x]
F[39,x] = F[40,x]+F[43,x]
F[40,x] = F[1,x]+F[41,x]
F[41,x] = F[42,x]
F[42,x] = F[4,x]*F[40,x]
F[43,x] = F[44,x]+F[47,x]
F[44,x] = F[45,x]
F[45,x] = F[4,x]*F[46,x]
F[46,x] = F[1,x]+F[44,x]
F[47,x] = F[48,x]+F[49,x]+F[51,x]
F[48,x] = 0
F[49,x] = F[4,x]*F[50,x]
F[50,x] = F[41,x]+F[47,x]
F[51,x] = F[4,x]*F[43,x]
F[52,x] = -1+F[52,x]^2*(x^2-2*x)+(2+x)*F[52,x]
F[53,x] = F[39,x]*F[54,x]
F[54,x] = F[4,x]+F[55,x]
F[55,x] = F[48,x]+F[56,x]+F[57,x]
F[56,x] = F[4,x]*F[41,x]
F[57,x] = F[4,x]*F[54,x]
F[58,x] = -F[62,x]+F[59,x]
F[59,x] = 1/F[4,x]*F[60,x]
F[60,x] = F[61,x]
F[61,x] = -F[0,x]+F[21,x]
F[62,x] = F[28,x]+F[33,x]
F[63,x] = F[64,x]
F[64,x] = F[20,x]*F[4,x]*F[65,x]
F[65,x] = F[66,x]+F[69,x]
F[66,x] = F[1,x]+F[67,x]+F[68,x]
F[67,x] = F[4,x]*F[66,x]
F[68,x] = F[4,x]*F[65,x]
F[69,x] = F[70,x]
F[70,x] = F[4,x]*F[65,x]*F[66,x]
F[71,x] = F[72,x]
F[72,x] = F[4,x]*F[73,x]
F[73,x] = F[74,x]
F[74,x] = F[15,x]*F[4,x]*F[46,x]
F[75,x] = F[48,x]+F[76,x]+F[77,x]+F[78,x]
F[76,x] = F[77,x]
F[77,x] = F[4,x]*F[75,x]
F[78,x] = F[15,x]*F[4,x]
F[79,x] = F[80,x]
F[80,x] = F[4,x]*F[81,x]
F[81,x] = F[153,x]+F[82,x]
F[82,x] = -F[140,x]+F[83,x]
F[83,x] = 1/F[4,x]*F[84,x]
F[84,x] = F[85,x]
F[85,x] = F[4,x]*F[86,x]
F[86,x] = 1/F[4,x]*F[87,x]
F[87,x] = F[88,x]
F[88,x] = -F[126,x]+F[89,x]
F[89,x] = F[124,x]+F[90,x]
F[90,x] = -F[122,x]+F[91,x]
F[91,x] = F[101,x]+F[92,x]
F[92,x] = F[93,x]
F[93,x] = F[94,x]*F[95,x]
F[94,x] = F[37,x]+F[52,x]
F[95,x] = F[40,x]+F[96,x]
F[96,x] = F[97,x]
F[97,x] = F[4,x]*F[98,x]
F[98,x] = F[100,x]+F[99,x]
F[99,x] = F[1,x]+F[96,x]
F[100,x] = F[41,x]
F[101,x] = F[102,x]
F[102,x] = F[103,x]*F[106,x]*F[4,x]
F[103,x] = F[104,x]+F[66,x]
F[104,x] = F[105,x]
F[105,x] = F[39,x]*F[4,x]*F[66,x]
F[106,x] = F[107,x]+F[121,x]
F[107,x] = F[108,x]+F[120,x]
F[108,x] = 1/F[4,x]*F[109,x]
F[109,x] = F[110,x]
F[110,x] = F[111,x]*F[4,x]
F[111,x] = F[112,x]+F[118,x]
F[112,x] = -F[113,x]+F[59,x]
F[113,x] = F[114,x]
F[114,x] = 1/F[4,x]*F[115,x]
F[115,x] = -F[116,x]-F[117,x]+F[17,x]
F[116,x] = F[22,x]
F[117,x] = F[17,x]*F[4,x]
F[118,x] = F[119,x]
F[119,x] = F[15,x]*F[4,x]
F[120,x] = F[13,x]
F[121,x] = F[79,x]
F[122,x] = F[123,x]
F[123,x] = F[39,x]*F[4,x]*F[90,x]
F[124,x] = F[125,x]
F[125,x] = F[106,x]*F[4,x]*F[46,x]
F[126,x] = F[127,x]+F[138,x]
F[127,x] = F[128,x]+F[130,x]
F[128,x] = F[129,x]+F[40,x]
F[129,x] = F[110,x]
F[130,x] = F[131,x]
F[131,x] = F[132,x]*F[4,x]
F[132,x] = F[133,x]+F[136,x]
F[133,x] = F[127,x]+F[134,x]
F[134,x] = F[135,x]
F[135,x] = F[127,x]*F[4,x]*F[65,x]
F[136,x] = F[137,x]
F[137,x] = F[108,x]*F[4,x]*F[66,x]
F[138,x] = F[139,x]
F[139,x] = F[108,x]*F[4,x]*F[46,x]
F[140,x] = F[141,x]+F[151,x]
F[141,x] = -F[146,x]+F[142,x]
F[142,x] = 1/F[4,x]*F[143,x]
F[143,x] = F[144,x]
F[144,x] = F[145,x]+F[9,x]
F[145,x] = F[8,x]+F[96,x]
F[146,x] = F[147,x]+F[149,x]
F[147,x] = 1/F[4,x]*F[148,x]
F[148,x] = F[145,x]
F[149,x] = F[150,x]
F[150,x] = F[4,x]*F[82,x]
F[151,x] = F[152,x]
F[152,x] = F[141,x]*F[4,x]*F[46,x]
F[153,x] = 1/F[4,x]*F[154,x]
F[154,x] = F[155,x]
F[155,x] = -F[263,x]+F[156,x]
F[156,x] = F[157,x]+F[261,x]
F[157,x] = F[158,x]*F[40,x]
F[158,x] = F[159,x]+F[256,x]
F[159,x] = F[160,x]+F[255,x]+F[48,x]
F[160,x] = F[161,x]*F[4,x]
F[161,x] = F[159,x]+F[162,x]
F[162,x] = F[163,x]
F[163,x] = F[164,x]
F[164,x] = F[165,x]*F[4,x]
F[165,x] = F[166,x]+F[174,x]
F[166,x] = F[167,x]+F[172,x]
F[167,x] = F[168,x]*F[94,x]
F[168,x] = F[169,x]+F[4,x]
F[169,x] = F[170,x]+F[171,x]+F[48,x]
F[170,x] = F[168,x]*F[4,x]
F[171,x] = F[4,x]*F[41,x]
F[172,x] = F[173,x]
F[173,x] = F[103,x]*F[165,x]*F[4,x]
F[174,x] = F[157,x]+F[175,x]
F[175,x] = F[176,x]
F[176,x] = F[177,x]*F[253,x]*F[4,x]
F[177,x] = -F[103,x]+F[178,x]
F[178,x] = F[1,x]+F[179,x]+F[197,x]+F[250,x]+F[252,x]
F[179,x] = F[180,x]*F[4,x]
F[180,x] = F[181,x]+F[184,x]
F[181,x] = F[182,x]+F[183,x]
F[182,x] = F[1,x]+F[4,x]
F[183,x] = F[169,x]+F[41,x]
F[184,x] = F[185,x]+F[190,x]
F[185,x] = F[186,x]+F[44,x]
F[186,x] = F[187,x]+F[189,x]+F[48,x]
F[187,x] = F[188,x]*F[4,x]
F[188,x] = F[186,x]+F[4,x]
F[189,x] = F[4,x]*F[44,x]
F[190,x] = F[191,x]+F[47,x]
F[191,x] = F[192,x]+F[194,x]+F[196,x]+F[48,x]
F[192,x] = F[193,x]*F[4,x]
F[193,x] = F[169,x]+F[191,x]
F[194,x] = F[195,x]*F[4,x]
F[195,x] = F[186,x]+F[191,x]
F[196,x] = F[4,x]*F[47,x]
F[197,x] = F[198,x]*F[4,x]
F[198,x] = F[199,x]+F[246,x]
F[199,x] = F[200,x]+F[210,x]
F[200,x] = F[1,x]+F[201,x]+F[202,x]+F[209,x]
F[201,x] = F[200,x]*F[4,x]
F[202,x] = F[203,x]*F[4,x]
F[203,x] = 1/F[4,x]*F[204,x]
F[204,x] = -F[1,x]-F[205,x]-F[206,x]+F[65,x]
F[205,x] = F[39,x]*F[4,x]
F[206,x] = F[207,x]*F[4,x]
F[207,x] = F[200,x]+F[208,x]
F[208,x] = F[104,x]
F[209,x] = F[207,x]*F[4,x]
F[210,x] = 1/F[243,x]/F[4,x]*F[211,x]
F[211,x] = F[212,x]
F[212,x] = F[213,x]*F[4,x]
F[213,x] = -F[238,x]+F[214,x]
F[214,x] = 1/F[4,x]*F[215,x]
F[215,x] = F[216,x]
F[216,x] = -F[161,x]-F[235,x]+F[217,x]
F[217,x] = -F[223,x]+F[218,x]
F[218,x] = 1/F[4,x]*F[219,x]
F[219,x] = F[220,x]
F[220,x] = F[163,x]+F[221,x]
F[221,x] = F[222,x]
F[222,x] = -F[94,x]+F[32,x]
F[223,x] = F[224,x]+F[233,x]
F[224,x] = F[225,x]+F[226,x]
F[225,x] = F[182,x]*F[33,x]
F[226,x] = F[227,x]
F[227,x] = F[200,x]*F[228,x]*F[4,x]
F[228,x] = 1/F[4,x]*F[229,x]
F[229,x] = F[230,x]
F[230,x] = F[231,x]*F[4,x]
F[231,x] = F[161,x]+F[232,x]
F[232,x] = F[182,x]*F[33,x]
F[233,x] = F[234,x]
F[234,x] = F[228,x]*F[39,x]*F[4,x]
F[235,x] = F[236,x]
F[236,x] = F[237,x]*F[4,x]*F[52,x]
F[237,x] = F[168,x]+F[195,x]
F[238,x] = F[239,x]
F[239,x] = F[237,x]*F[240,x]*F[4,x]
F[240,x] = 1/F[4,x]*F[241,x]
F[241,x] = F[242,x]
F[242,x] = F[4,x]*F[52,x]*F[65,x]
F[243,x] = F[244,x]+F[52,x]
F[244,x] = F[245,x]
F[245,x] = F[240,x]*F[4,x]
F[246,x] = F[247,x]
F[247,x] = 2*F[48,x]+F[248,x]+F[250,x]+F[251,x]
F[248,x] = F[249,x]
F[249,x] = F[247,x]*F[4,x]
F[250,x] = F[178,x]*F[4,x]
F[251,x] = F[104,x]*F[4,x]
F[252,x] = F[103,x]*F[4,x]
F[253,x] = 1/F[4,x]*F[254,x]
F[254,x] = F[221,x]
F[255,x] = F[4,x]*F[52,x]
F[256,x] = F[257,x]
F[257,x] = F[258,x]*F[4,x]
F[258,x] = F[259,x]+F[260,x]
F[259,x] = F[159,x]*F[39,x]
F[260,x] = F[237,x]*F[52,x]
F[261,x] = F[262,x]
F[262,x] = F[108,x]*F[177,x]*F[4,x]
F[263,x] = F[264,x]+F[279,x]+F[280,x]+F[48,x]
F[264,x] = F[265,x]
F[265,x] = F[266,x]*F[4,x]
F[266,x] = F[267,x]+F[277,x]
F[267,x] = -F[274,x]+F[268,x]
F[268,x] = F[269,x]+F[272,x]
F[269,x] = F[270,x]+F[32,x]
F[270,x] = F[158,x]+F[271,x]
F[271,x] = F[162,x]
F[272,x] = F[273,x]
F[273,x] = F[198,x]*F[21,x]*F[4,x]
F[274,x] = F[275,x]+F[32,x]
F[275,x] = F[276,x]
F[276,x] = F[207,x]*F[21,x]*F[4,x]
F[277,x] = F[278,x]
F[278,x] = F[21,x]*F[237,x]*F[4,x]
F[279,x] = F[263,x]*F[4,x]
F[280,x] = F[281,x]*F[4,x]
F[281,x] = F[282,x]+F[285,x]
F[282,x] = F[283,x]+F[52,x]
F[283,x] = F[284,x]
F[284,x] = F[21,x]*F[4,x]*F[66,x]
F[285,x] = F[286,x]
F[286,x] = F[282,x]*F[39,x]*F[4,x]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{4}\! \left(x \right) = x
F_{5}\! \left(x \right) = F_{0}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{2}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right) F_{4}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{79}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right) F_{4}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)+F_{75}\! \left(x \right)
F_{15}\! \left(x \right) = \frac{F_{16}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{71}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right) F_{4}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)+F_{23}\! \left(x \right)
F_{21}\! \left(x \right) = \frac{F_{22}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{22}\! \left(x \right) = F_{2}\! \left(x \right)
F_{23}\! \left(x \right) = -F_{63}\! \left(x \right)+F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = \frac{F_{25}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right) F_{4}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)+F_{58}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right) F_{4}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)+F_{53}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right) F_{40}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)+F_{36}\! \left(x \right)
F_{33}\! \left(x \right) = \frac{F_{34}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = x^{2} F_{35} \left(x \right)^{2}+2 x^{2} F_{35}\! \left(x \right)-2 x F_{35} \left(x \right)^{2}+x^{2}-3 x F_{35}\! \left(x \right)-x +2 F_{35}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right) F_{4}\! \left(x \right) F_{52}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)+F_{43}\! \left(x \right)
F_{40}\! \left(x \right) = F_{1}\! \left(x \right)+F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{4}\! \left(x \right) F_{40}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)+F_{47}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{4}\! \left(x \right) F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{1}\! \left(x \right)+F_{44}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)+F_{49}\! \left(x \right)+F_{51}\! \left(x \right)
F_{48}\! \left(x \right) = 0
F_{49}\! \left(x \right) = F_{4}\! \left(x \right) F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{41}\! \left(x \right)+F_{47}\! \left(x \right)
F_{51}\! \left(x \right) = F_{4}\! \left(x \right) F_{43}\! \left(x \right)
F_{52}\! \left(x \right) = x^{2} F_{52} \left(x \right)^{2}-2 x F_{52} \left(x \right)^{2}+x F_{52}\! \left(x \right)+2 F_{52}\! \left(x \right)-1
F_{53}\! \left(x \right) = F_{39}\! \left(x \right) F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{4}\! \left(x \right)+F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{48}\! \left(x \right)+F_{56}\! \left(x \right)+F_{57}\! \left(x \right)
F_{56}\! \left(x \right) = F_{4}\! \left(x \right) F_{41}\! \left(x \right)
F_{57}\! \left(x \right) = F_{4}\! \left(x \right) F_{54}\! \left(x \right)
F_{58}\! \left(x \right) = -F_{62}\! \left(x \right)+F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = \frac{F_{60}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{21}\! \left(x \right)
F_{62}\! \left(x \right) = F_{28}\! \left(x \right)+F_{33}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{20}\! \left(x \right) F_{4}\! \left(x \right) F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)+F_{69}\! \left(x \right)
F_{66}\! \left(x \right) = F_{1}\! \left(x \right)+F_{67}\! \left(x \right)+F_{68}\! \left(x \right)
F_{67}\! \left(x \right) = F_{4}\! \left(x \right) F_{66}\! \left(x \right)
F_{68}\! \left(x \right) = F_{4}\! \left(x \right) F_{65}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{4}\! \left(x \right) F_{65}\! \left(x \right) F_{66}\! \left(x \right)
F_{71}\! \left(x \right) = F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{4}\! \left(x \right) F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{15}\! \left(x \right) F_{4}\! \left(x \right) F_{46}\! \left(x \right)
F_{75}\! \left(x \right) = F_{48}\! \left(x \right)+F_{76}\! \left(x \right)+F_{77}\! \left(x \right)+F_{78}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{4}\! \left(x \right) F_{75}\! \left(x \right)
F_{78}\! \left(x \right) = F_{15}\! \left(x \right) F_{4}\! \left(x \right)
F_{79}\! \left(x \right) = F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{4}\! \left(x \right) F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{153}\! \left(x \right)+F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = -F_{140}\! \left(x \right)+F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = \frac{F_{84}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{4}\! \left(x \right) F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = \frac{F_{87}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{87}\! \left(x \right) = F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = -F_{126}\! \left(x \right)+F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{124}\! \left(x \right)+F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = -F_{122}\! \left(x \right)+F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{101}\! \left(x \right)+F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{94}\! \left(x \right) F_{95}\! \left(x \right)
F_{94}\! \left(x \right) = F_{37}\! \left(x \right)+F_{52}\! \left(x \right)
F_{95}\! \left(x \right) = F_{40}\! \left(x \right)+F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{4}\! \left(x \right) F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{100}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{1}\! \left(x \right)+F_{96}\! \left(x \right)
F_{100}\! \left(x \right) = F_{41}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right) F_{106}\! \left(x \right) F_{4}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)+F_{66}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = F_{39}\! \left(x \right) F_{4}\! \left(x \right) F_{66}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right)+F_{121}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)+F_{120}\! \left(x \right)
F_{108}\! \left(x \right) = \frac{F_{109}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right) F_{4}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)+F_{118}\! \left(x \right)
F_{112}\! \left(x \right) = -F_{113}\! \left(x \right)+F_{59}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)
F_{114}\! \left(x \right) = \frac{F_{115}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{115}\! \left(x \right) = -F_{116}\! \left(x \right)-F_{117}\! \left(x \right)+F_{17}\! \left(x \right)
F_{116}\! \left(x \right) = F_{22}\! \left(x \right)
F_{117}\! \left(x \right) = F_{17}\! \left(x \right) F_{4}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)
F_{119}\! \left(x \right) = F_{15}\! \left(x \right) F_{4}\! \left(x \right)
F_{120}\! \left(x \right) = F_{13}\! \left(x \right)
F_{121}\! \left(x \right) = F_{79}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = F_{39}\! \left(x \right) F_{4}\! \left(x \right) F_{90}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)
F_{125}\! \left(x \right) = F_{106}\! \left(x \right) F_{4}\! \left(x \right) F_{46}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)+F_{138}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)+F_{130}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)+F_{40}\! \left(x \right)
F_{129}\! \left(x \right) = F_{110}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right) F_{4}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)+F_{136}\! \left(x \right)
F_{133}\! \left(x \right) = F_{127}\! \left(x \right)+F_{134}\! \left(x \right)
F_{134}\! \left(x \right) = F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = F_{127}\! \left(x \right) F_{4}\! \left(x \right) F_{65}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right)
F_{137}\! \left(x \right) = F_{108}\! \left(x \right) F_{4}\! \left(x \right) F_{66}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = F_{108}\! \left(x \right) F_{4}\! \left(x \right) F_{46}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)+F_{151}\! \left(x \right)
F_{141}\! \left(x \right) = -F_{146}\! \left(x \right)+F_{142}\! \left(x \right)
F_{142}\! \left(x \right) = \frac{F_{143}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right)+F_{9}\! \left(x \right)
F_{145}\! \left(x \right) = F_{8}\! \left(x \right)+F_{96}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right)+F_{149}\! \left(x \right)
F_{147}\! \left(x \right) = \frac{F_{148}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{148}\! \left(x \right) = F_{145}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right)
F_{150}\! \left(x \right) = F_{4}\! \left(x \right) F_{82}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right)
F_{152}\! \left(x \right) = F_{141}\! \left(x \right) F_{4}\! \left(x \right) F_{46}\! \left(x \right)
F_{153}\! \left(x \right) = \frac{F_{154}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)
F_{155}\! \left(x \right) = -F_{263}\! \left(x \right)+F_{156}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)+F_{261}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right) F_{40}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)+F_{256}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right)+F_{255}\! \left(x \right)+F_{48}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right) F_{4}\! \left(x \right)
F_{161}\! \left(x \right) = F_{159}\! \left(x \right)+F_{162}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right)
F_{164}\! \left(x \right) = F_{165}\! \left(x \right) F_{4}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)+F_{174}\! \left(x \right)
F_{166}\! \left(x \right) = F_{167}\! \left(x \right)+F_{172}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right) F_{94}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right)+F_{4}\! \left(x \right)
F_{169}\! \left(x \right) = F_{170}\! \left(x \right)+F_{171}\! \left(x \right)+F_{48}\! \left(x \right)
F_{170}\! \left(x \right) = F_{168}\! \left(x \right) F_{4}\! \left(x \right)
F_{171}\! \left(x \right) = F_{4}\! \left(x \right) F_{41}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right)
F_{173}\! \left(x \right) = F_{103}\! \left(x \right) F_{165}\! \left(x \right) F_{4}\! \left(x \right)
F_{174}\! \left(x \right) = F_{157}\! \left(x \right)+F_{175}\! \left(x \right)
F_{175}\! \left(x \right) = F_{176}\! \left(x \right)
F_{176}\! \left(x \right) = F_{177}\! \left(x \right) F_{253}\! \left(x \right) F_{4}\! \left(x \right)
F_{177}\! \left(x \right) = -F_{103}\! \left(x \right)+F_{178}\! \left(x \right)
F_{178}\! \left(x \right) = F_{1}\! \left(x \right)+F_{179}\! \left(x \right)+F_{197}\! \left(x \right)+F_{250}\! \left(x \right)+F_{252}\! \left(x \right)
F_{179}\! \left(x \right) = F_{180}\! \left(x \right) F_{4}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right)+F_{184}\! \left(x \right)
F_{181}\! \left(x \right) = F_{182}\! \left(x \right)+F_{183}\! \left(x \right)
F_{182}\! \left(x \right) = F_{1}\! \left(x \right)+F_{4}\! \left(x \right)
F_{183}\! \left(x \right) = F_{169}\! \left(x \right)+F_{41}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x \right)+F_{190}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right)+F_{44}\! \left(x \right)
F_{186}\! \left(x \right) = F_{187}\! \left(x \right)+F_{189}\! \left(x \right)+F_{48}\! \left(x \right)
F_{187}\! \left(x \right) = F_{188}\! \left(x \right) F_{4}\! \left(x \right)
F_{188}\! \left(x \right) = F_{186}\! \left(x \right)+F_{4}\! \left(x \right)
F_{189}\! \left(x \right) = F_{4}\! \left(x \right) F_{44}\! \left(x \right)
F_{190}\! \left(x \right) = F_{191}\! \left(x \right)+F_{47}\! \left(x \right)
F_{191}\! \left(x \right) = F_{192}\! \left(x \right)+F_{194}\! \left(x \right)+F_{196}\! \left(x \right)+F_{48}\! \left(x \right)
F_{192}\! \left(x \right) = F_{193}\! \left(x \right) F_{4}\! \left(x \right)
F_{193}\! \left(x \right) = F_{169}\! \left(x \right)+F_{191}\! \left(x \right)
F_{194}\! \left(x \right) = F_{195}\! \left(x \right) F_{4}\! \left(x \right)
F_{195}\! \left(x \right) = F_{186}\! \left(x \right)+F_{191}\! \left(x \right)
F_{196}\! \left(x \right) = F_{4}\! \left(x \right) F_{47}\! \left(x \right)
F_{197}\! \left(x \right) = F_{198}\! \left(x \right) F_{4}\! \left(x \right)
F_{198}\! \left(x \right) = F_{199}\! \left(x \right)+F_{246}\! \left(x \right)
F_{199}\! \left(x \right) = F_{200}\! \left(x \right)+F_{210}\! \left(x \right)
F_{200}\! \left(x \right) = F_{1}\! \left(x \right)+F_{201}\! \left(x \right)+F_{202}\! \left(x \right)+F_{209}\! \left(x \right)
F_{201}\! \left(x \right) = F_{200}\! \left(x \right) F_{4}\! \left(x \right)
F_{202}\! \left(x \right) = F_{203}\! \left(x \right) F_{4}\! \left(x \right)
F_{203}\! \left(x \right) = \frac{F_{204}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{204}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{205}\! \left(x \right)-F_{206}\! \left(x \right)+F_{65}\! \left(x \right)
F_{205}\! \left(x \right) = F_{39}\! \left(x \right) F_{4}\! \left(x \right)
F_{206}\! \left(x \right) = F_{207}\! \left(x \right) F_{4}\! \left(x \right)
F_{207}\! \left(x \right) = F_{200}\! \left(x \right)+F_{208}\! \left(x \right)
F_{208}\! \left(x \right) = F_{104}\! \left(x \right)
F_{209}\! \left(x \right) = F_{207}\! \left(x \right) F_{4}\! \left(x \right)
F_{210}\! \left(x \right) = \frac{F_{211}\! \left(x \right)}{F_{243}\! \left(x \right) F_{4}\! \left(x \right)}
F_{211}\! \left(x \right) = F_{212}\! \left(x \right)
F_{212}\! \left(x \right) = F_{213}\! \left(x \right) F_{4}\! \left(x \right)
F_{213}\! \left(x \right) = -F_{238}\! \left(x \right)+F_{214}\! \left(x \right)
F_{214}\! \left(x \right) = \frac{F_{215}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{215}\! \left(x \right) = F_{216}\! \left(x \right)
F_{216}\! \left(x \right) = -F_{161}\! \left(x \right)-F_{235}\! \left(x \right)+F_{217}\! \left(x \right)
F_{217}\! \left(x \right) = -F_{223}\! \left(x \right)+F_{218}\! \left(x \right)
F_{218}\! \left(x \right) = \frac{F_{219}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{219}\! \left(x \right) = F_{220}\! \left(x \right)
F_{220}\! \left(x \right) = F_{163}\! \left(x \right)+F_{221}\! \left(x \right)
F_{221}\! \left(x \right) = F_{222}\! \left(x \right)
F_{222}\! \left(x \right) = -F_{94}\! \left(x \right)+F_{32}\! \left(x \right)
F_{223}\! \left(x \right) = F_{224}\! \left(x \right)+F_{233}\! \left(x \right)
F_{224}\! \left(x \right) = F_{225}\! \left(x \right)+F_{226}\! \left(x \right)
F_{225}\! \left(x \right) = F_{182}\! \left(x \right) F_{33}\! \left(x \right)
F_{226}\! \left(x \right) = F_{227}\! \left(x \right)
F_{227}\! \left(x \right) = F_{200}\! \left(x \right) F_{228}\! \left(x \right) F_{4}\! \left(x \right)
F_{228}\! \left(x \right) = \frac{F_{229}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{229}\! \left(x \right) = F_{230}\! \left(x \right)
F_{230}\! \left(x \right) = F_{231}\! \left(x \right) F_{4}\! \left(x \right)
F_{231}\! \left(x \right) = F_{161}\! \left(x \right)+F_{232}\! \left(x \right)
F_{232}\! \left(x \right) = F_{182}\! \left(x \right) F_{33}\! \left(x \right)
F_{233}\! \left(x \right) = F_{234}\! \left(x \right)
F_{234}\! \left(x \right) = F_{228}\! \left(x \right) F_{39}\! \left(x \right) F_{4}\! \left(x \right)
F_{235}\! \left(x \right) = F_{236}\! \left(x \right)
F_{236}\! \left(x \right) = F_{237}\! \left(x \right) F_{4}\! \left(x \right) F_{52}\! \left(x \right)
F_{237}\! \left(x \right) = F_{168}\! \left(x \right)+F_{195}\! \left(x \right)
F_{238}\! \left(x \right) = F_{239}\! \left(x \right)
F_{239}\! \left(x \right) = F_{237}\! \left(x \right) F_{240}\! \left(x \right) F_{4}\! \left(x \right)
F_{240}\! \left(x \right) = \frac{F_{241}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{241}\! \left(x \right) = F_{242}\! \left(x \right)
F_{242}\! \left(x \right) = F_{4}\! \left(x \right) F_{52}\! \left(x \right) F_{65}\! \left(x \right)
F_{243}\! \left(x \right) = F_{244}\! \left(x \right)+F_{52}\! \left(x \right)
F_{244}\! \left(x \right) = F_{245}\! \left(x \right)
F_{245}\! \left(x \right) = F_{240}\! \left(x \right) F_{4}\! \left(x \right)
F_{246}\! \left(x \right) = F_{247}\! \left(x \right)
F_{247}\! \left(x \right) = 2 F_{48}\! \left(x \right)+F_{248}\! \left(x \right)+F_{250}\! \left(x \right)+F_{251}\! \left(x \right)
F_{248}\! \left(x \right) = F_{249}\! \left(x \right)
F_{249}\! \left(x \right) = F_{247}\! \left(x \right) F_{4}\! \left(x \right)
F_{250}\! \left(x \right) = F_{178}\! \left(x \right) F_{4}\! \left(x \right)
F_{251}\! \left(x \right) = F_{104}\! \left(x \right) F_{4}\! \left(x \right)
F_{252}\! \left(x \right) = F_{103}\! \left(x \right) F_{4}\! \left(x \right)
F_{253}\! \left(x \right) = \frac{F_{254}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{254}\! \left(x \right) = F_{221}\! \left(x \right)
F_{255}\! \left(x \right) = F_{4}\! \left(x \right) F_{52}\! \left(x \right)
F_{256}\! \left(x \right) = F_{257}\! \left(x \right)
F_{257}\! \left(x \right) = F_{258}\! \left(x \right) F_{4}\! \left(x \right)
F_{258}\! \left(x \right) = F_{259}\! \left(x \right)+F_{260}\! \left(x \right)
F_{259}\! \left(x \right) = F_{159}\! \left(x \right) F_{39}\! \left(x \right)
F_{260}\! \left(x \right) = F_{237}\! \left(x \right) F_{52}\! \left(x \right)
F_{261}\! \left(x \right) = F_{262}\! \left(x \right)
F_{262}\! \left(x \right) = F_{108}\! \left(x \right) F_{177}\! \left(x \right) F_{4}\! \left(x \right)
F_{263}\! \left(x \right) = F_{264}\! \left(x \right)+F_{279}\! \left(x \right)+F_{280}\! \left(x \right)+F_{48}\! \left(x \right)
F_{264}\! \left(x \right) = F_{265}\! \left(x \right)
F_{265}\! \left(x \right) = F_{266}\! \left(x \right) F_{4}\! \left(x \right)
F_{266}\! \left(x \right) = F_{267}\! \left(x \right)+F_{277}\! \left(x \right)
F_{267}\! \left(x \right) = -F_{274}\! \left(x \right)+F_{268}\! \left(x \right)
F_{268}\! \left(x \right) = F_{269}\! \left(x \right)+F_{272}\! \left(x \right)
F_{269}\! \left(x \right) = F_{270}\! \left(x \right)+F_{32}\! \left(x \right)
F_{270}\! \left(x \right) = F_{158}\! \left(x \right)+F_{271}\! \left(x \right)
F_{271}\! \left(x \right) = F_{162}\! \left(x \right)
F_{272}\! \left(x \right) = F_{273}\! \left(x \right)
F_{273}\! \left(x \right) = F_{198}\! \left(x \right) F_{21}\! \left(x \right) F_{4}\! \left(x \right)
F_{274}\! \left(x \right) = F_{275}\! \left(x \right)+F_{32}\! \left(x \right)
F_{275}\! \left(x \right) = F_{276}\! \left(x \right)
F_{276}\! \left(x \right) = F_{207}\! \left(x \right) F_{21}\! \left(x \right) F_{4}\! \left(x \right)
F_{277}\! \left(x \right) = F_{278}\! \left(x \right)
F_{278}\! \left(x \right) = F_{21}\! \left(x \right) F_{237}\! \left(x \right) F_{4}\! \left(x \right)
F_{279}\! \left(x \right) = F_{263}\! \left(x \right) F_{4}\! \left(x \right)
F_{280}\! \left(x \right) = F_{281}\! \left(x \right) F_{4}\! \left(x \right)
F_{281}\! \left(x \right) = F_{282}\! \left(x \right)+F_{285}\! \left(x \right)
F_{282}\! \left(x \right) = F_{283}\! \left(x \right)+F_{52}\! \left(x \right)
F_{283}\! \left(x \right) = F_{284}\! \left(x \right)
F_{284}\! \left(x \right) = F_{21}\! \left(x \right) F_{4}\! \left(x \right) F_{66}\! \left(x \right)
F_{285}\! \left(x \right) = F_{286}\! \left(x \right)
F_{286}\! \left(x \right) = F_{282}\! \left(x \right) F_{39}\! \left(x \right) F_{4}\! \left(x \right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_4(x)*F_5(x))
Eq(F_4(x), x)
Eq(F_5(x), F_0(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_2(x) + F_8(x))
Eq(F_8(x), F_9(x))
Eq(F_9(x), F_10(x))
Eq(F_10(x), F_11(x)*F_4(x))
Eq(F_11(x), F_12(x) + F_79(x))
Eq(F_12(x), F_13(x))
Eq(F_13(x), F_14(x)*F_4(x))
Eq(F_14(x), F_15(x) + F_75(x))
Eq(F_15(x), F_16(x)/F_4(x))
Eq(F_16(x), F_17(x))
Eq(F_17(x), F_18(x) + F_71(x))
Eq(F_18(x), F_19(x))
Eq(F_19(x), F_20(x)*F_4(x))
Eq(F_20(x), F_21(x) + F_23(x))
Eq(F_21(x), F_22(x)/F_4(x))
Eq(F_22(x), F_2(x))
Eq(F_23(x), F_24(x) - F_63(x))
Eq(F_24(x), F_25(x)/F_4(x))
Eq(F_25(x), F_26(x))
Eq(F_26(x), F_27(x)*F_4(x))
Eq(F_27(x), F_28(x) + F_58(x))
Eq(F_28(x), F_29(x))
Eq(F_29(x), F_30(x)*F_4(x))
Eq(F_30(x), F_31(x) + F_53(x))
Eq(F_31(x), F_32(x)*F_40(x))
Eq(F_32(x), F_33(x) + F_36(x))
Eq(F_33(x), F_34(x)/F_4(x))
Eq(F_34(x), F_35(x))
Eq(F_35(x), x*(x - 2)*(F_35(x) + 1)**2 + (x + 1)*(F_35(x) + 1) + F_35(x) - 1)
Eq(F_36(x), F_37(x))
Eq(F_37(x), F_38(x))
Eq(F_38(x), F_39(x)*F_4(x)*F_52(x))
Eq(F_39(x), F_40(x) + F_43(x))
Eq(F_40(x), F_1(x) + F_41(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_4(x)*F_40(x))
Eq(F_43(x), F_44(x) + F_47(x))
Eq(F_44(x), F_45(x))
Eq(F_45(x), F_4(x)*F_46(x))
Eq(F_46(x), F_1(x) + F_44(x))
Eq(F_47(x), F_48(x) + F_49(x) + F_51(x))
Eq(F_48(x), 0)
Eq(F_49(x), F_4(x)*F_50(x))
Eq(F_50(x), F_41(x) + F_47(x))
Eq(F_51(x), F_4(x)*F_43(x))
Eq(F_52(x), x*(x - 2)*F_52(x)**2 + (x + 2)*F_52(x) - 1)
Eq(F_53(x), F_39(x)*F_54(x))
Eq(F_54(x), F_4(x) + F_55(x))
Eq(F_55(x), F_48(x) + F_56(x) + F_57(x))
Eq(F_56(x), F_4(x)*F_41(x))
Eq(F_57(x), F_4(x)*F_54(x))
Eq(F_58(x), F_59(x) - F_62(x))
Eq(F_59(x), F_60(x)/F_4(x))
Eq(F_60(x), F_61(x))
Eq(F_61(x), -F_0(x) + F_21(x))
Eq(F_62(x), F_28(x) + F_33(x))
Eq(F_63(x), F_64(x))
Eq(F_64(x), F_20(x)*F_4(x)*F_65(x))
Eq(F_65(x), F_66(x) + F_69(x))
Eq(F_66(x), F_1(x) + F_67(x) + F_68(x))
Eq(F_67(x), F_4(x)*F_66(x))
Eq(F_68(x), F_4(x)*F_65(x))
Eq(F_69(x), F_70(x))
Eq(F_70(x), F_4(x)*F_65(x)*F_66(x))
Eq(F_71(x), F_72(x))
Eq(F_72(x), F_4(x)*F_73(x))
Eq(F_73(x), F_74(x))
Eq(F_74(x), F_15(x)*F_4(x)*F_46(x))
Eq(F_75(x), F_48(x) + F_76(x) + F_77(x) + F_78(x))
Eq(F_76(x), F_77(x))
Eq(F_77(x), F_4(x)*F_75(x))
Eq(F_78(x), F_15(x)*F_4(x))
Eq(F_79(x), F_80(x))
Eq(F_80(x), F_4(x)*F_81(x))
Eq(F_81(x), F_153(x) + F_82(x))
Eq(F_82(x), -F_140(x) + F_83(x))
Eq(F_83(x), F_84(x)/F_4(x))
Eq(F_84(x), F_85(x))
Eq(F_85(x), F_4(x)*F_86(x))
Eq(F_86(x), F_87(x)/F_4(x))
Eq(F_87(x), F_88(x))
Eq(F_88(x), -F_126(x) + F_89(x))
Eq(F_89(x), F_124(x) + F_90(x))
Eq(F_90(x), -F_122(x) + F_91(x))
Eq(F_91(x), F_101(x) + F_92(x))
Eq(F_92(x), F_93(x))
Eq(F_93(x), F_94(x)*F_95(x))
Eq(F_94(x), F_37(x) + F_52(x))
Eq(F_95(x), F_40(x) + F_96(x))
Eq(F_96(x), F_97(x))
Eq(F_97(x), F_4(x)*F_98(x))
Eq(F_98(x), F_100(x) + F_99(x))
Eq(F_99(x), F_1(x) + F_96(x))
Eq(F_100(x), F_41(x))
Eq(F_101(x), F_102(x))
Eq(F_102(x), F_103(x)*F_106(x)*F_4(x))
Eq(F_103(x), F_104(x) + F_66(x))
Eq(F_104(x), F_105(x))
Eq(F_105(x), F_39(x)*F_4(x)*F_66(x))
Eq(F_106(x), F_107(x) + F_121(x))
Eq(F_107(x), F_108(x) + F_120(x))
Eq(F_108(x), F_109(x)/F_4(x))
Eq(F_109(x), F_110(x))
Eq(F_110(x), F_111(x)*F_4(x))
Eq(F_111(x), F_112(x) + F_118(x))
Eq(F_112(x), -F_113(x) + F_59(x))
Eq(F_113(x), F_114(x))
Eq(F_114(x), F_115(x)/F_4(x))
Eq(F_115(x), -F_116(x) - F_117(x) + F_17(x))
Eq(F_116(x), F_22(x))
Eq(F_117(x), F_17(x)*F_4(x))
Eq(F_118(x), F_119(x))
Eq(F_119(x), F_15(x)*F_4(x))
Eq(F_120(x), F_13(x))
Eq(F_121(x), F_79(x))
Eq(F_122(x), F_123(x))
Eq(F_123(x), F_39(x)*F_4(x)*F_90(x))
Eq(F_124(x), F_125(x))
Eq(F_125(x), F_106(x)*F_4(x)*F_46(x))
Eq(F_126(x), F_127(x) + F_138(x))
Eq(F_127(x), F_128(x) + F_130(x))
Eq(F_128(x), F_129(x) + F_40(x))
Eq(F_129(x), F_110(x))
Eq(F_130(x), F_131(x))
Eq(F_131(x), F_132(x)*F_4(x))
Eq(F_132(x), F_133(x) + F_136(x))
Eq(F_133(x), F_127(x) + F_134(x))
Eq(F_134(x), F_135(x))
Eq(F_135(x), F_127(x)*F_4(x)*F_65(x))
Eq(F_136(x), F_137(x))
Eq(F_137(x), F_108(x)*F_4(x)*F_66(x))
Eq(F_138(x), F_139(x))
Eq(F_139(x), F_108(x)*F_4(x)*F_46(x))
Eq(F_140(x), F_141(x) + F_151(x))
Eq(F_141(x), F_142(x) - F_146(x))
Eq(F_142(x), F_143(x)/F_4(x))
Eq(F_143(x), F_144(x))
Eq(F_144(x), F_145(x) + F_9(x))
Eq(F_145(x), F_8(x) + F_96(x))
Eq(F_146(x), F_147(x) + F_149(x))
Eq(F_147(x), F_148(x)/F_4(x))
Eq(F_148(x), F_145(x))
Eq(F_149(x), F_150(x))
Eq(F_150(x), F_4(x)*F_82(x))
Eq(F_151(x), F_152(x))
Eq(F_152(x), F_141(x)*F_4(x)*F_46(x))
Eq(F_153(x), F_154(x)/F_4(x))
Eq(F_154(x), F_155(x))
Eq(F_155(x), F_156(x) - F_263(x))
Eq(F_156(x), F_157(x) + F_261(x))
Eq(F_157(x), F_158(x)*F_40(x))
Eq(F_158(x), F_159(x) + F_256(x))
Eq(F_159(x), F_160(x) + F_255(x) + F_48(x))
Eq(F_160(x), F_161(x)*F_4(x))
Eq(F_161(x), F_159(x) + F_162(x))
Eq(F_162(x), F_163(x))
Eq(F_163(x), F_164(x))
Eq(F_164(x), F_165(x)*F_4(x))
Eq(F_165(x), F_166(x) + F_174(x))
Eq(F_166(x), F_167(x) + F_172(x))
Eq(F_167(x), F_168(x)*F_94(x))
Eq(F_168(x), F_169(x) + F_4(x))
Eq(F_169(x), F_170(x) + F_171(x) + F_48(x))
Eq(F_170(x), F_168(x)*F_4(x))
Eq(F_171(x), F_4(x)*F_41(x))
Eq(F_172(x), F_173(x))
Eq(F_173(x), F_103(x)*F_165(x)*F_4(x))
Eq(F_174(x), F_157(x) + F_175(x))
Eq(F_175(x), F_176(x))
Eq(F_176(x), F_177(x)*F_253(x)*F_4(x))
Eq(F_177(x), -F_103(x) + F_178(x))
Eq(F_178(x), F_1(x) + F_179(x) + F_197(x) + F_250(x) + F_252(x))
Eq(F_179(x), F_180(x)*F_4(x))
Eq(F_180(x), F_181(x) + F_184(x))
Eq(F_181(x), F_182(x) + F_183(x))
Eq(F_182(x), F_1(x) + F_4(x))
Eq(F_183(x), F_169(x) + F_41(x))
Eq(F_184(x), F_185(x) + F_190(x))
Eq(F_185(x), F_186(x) + F_44(x))
Eq(F_186(x), F_187(x) + F_189(x) + F_48(x))
Eq(F_187(x), F_188(x)*F_4(x))
Eq(F_188(x), F_186(x) + F_4(x))
Eq(F_189(x), F_4(x)*F_44(x))
Eq(F_190(x), F_191(x) + F_47(x))
Eq(F_191(x), F_192(x) + F_194(x) + F_196(x) + F_48(x))
Eq(F_192(x), F_193(x)*F_4(x))
Eq(F_193(x), F_169(x) + F_191(x))
Eq(F_194(x), F_195(x)*F_4(x))
Eq(F_195(x), F_186(x) + F_191(x))
Eq(F_196(x), F_4(x)*F_47(x))
Eq(F_197(x), F_198(x)*F_4(x))
Eq(F_198(x), F_199(x) + F_246(x))
Eq(F_199(x), F_200(x) + F_210(x))
Eq(F_200(x), F_1(x) + F_201(x) + F_202(x) + F_209(x))
Eq(F_201(x), F_200(x)*F_4(x))
Eq(F_202(x), F_203(x)*F_4(x))
Eq(F_203(x), F_204(x)/F_4(x))
Eq(F_204(x), -F_1(x) - F_205(x) - F_206(x) + F_65(x))
Eq(F_205(x), F_39(x)*F_4(x))
Eq(F_206(x), F_207(x)*F_4(x))
Eq(F_207(x), F_200(x) + F_208(x))
Eq(F_208(x), F_104(x))
Eq(F_209(x), F_207(x)*F_4(x))
Eq(F_210(x), F_211(x)/(F_243(x)*F_4(x)))
Eq(F_211(x), F_212(x))
Eq(F_212(x), F_213(x)*F_4(x))
Eq(F_213(x), F_214(x) - F_238(x))
Eq(F_214(x), F_215(x)/F_4(x))
Eq(F_215(x), F_216(x))
Eq(F_216(x), -F_161(x) + F_217(x) - F_235(x))
Eq(F_217(x), F_218(x) - F_223(x))
Eq(F_218(x), F_219(x)/F_4(x))
Eq(F_219(x), F_220(x))
Eq(F_220(x), F_163(x) + F_221(x))
Eq(F_221(x), F_222(x))
Eq(F_222(x), F_32(x) - F_94(x))
Eq(F_223(x), F_224(x) + F_233(x))
Eq(F_224(x), F_225(x) + F_226(x))
Eq(F_225(x), F_182(x)*F_33(x))
Eq(F_226(x), F_227(x))
Eq(F_227(x), F_200(x)*F_228(x)*F_4(x))
Eq(F_228(x), F_229(x)/F_4(x))
Eq(F_229(x), F_230(x))
Eq(F_230(x), F_231(x)*F_4(x))
Eq(F_231(x), F_161(x) + F_232(x))
Eq(F_232(x), F_182(x)*F_33(x))
Eq(F_233(x), F_234(x))
Eq(F_234(x), F_228(x)*F_39(x)*F_4(x))
Eq(F_235(x), F_236(x))
Eq(F_236(x), F_237(x)*F_4(x)*F_52(x))
Eq(F_237(x), F_168(x) + F_195(x))
Eq(F_238(x), F_239(x))
Eq(F_239(x), F_237(x)*F_240(x)*F_4(x))
Eq(F_240(x), F_241(x)/F_4(x))
Eq(F_241(x), F_242(x))
Eq(F_242(x), F_4(x)*F_52(x)*F_65(x))
Eq(F_243(x), F_244(x) + F_52(x))
Eq(F_244(x), F_245(x))
Eq(F_245(x), F_240(x)*F_4(x))
Eq(F_246(x), F_247(x))
Eq(F_247(x), F_248(x) + F_250(x) + F_251(x) + 2*F_48(x))
Eq(F_248(x), F_249(x))
Eq(F_249(x), F_247(x)*F_4(x))
Eq(F_250(x), F_178(x)*F_4(x))
Eq(F_251(x), F_104(x)*F_4(x))
Eq(F_252(x), F_103(x)*F_4(x))
Eq(F_253(x), F_254(x)/F_4(x))
Eq(F_254(x), F_221(x))
Eq(F_255(x), F_4(x)*F_52(x))
Eq(F_256(x), F_257(x))
Eq(F_257(x), F_258(x)*F_4(x))
Eq(F_258(x), F_259(x) + F_260(x))
Eq(F_259(x), F_159(x)*F_39(x))
Eq(F_260(x), F_237(x)*F_52(x))
Eq(F_261(x), F_262(x))
Eq(F_262(x), F_108(x)*F_177(x)*F_4(x))
Eq(F_263(x), F_264(x) + F_279(x) + F_280(x) + F_48(x))
Eq(F_264(x), F_265(x))
Eq(F_265(x), F_266(x)*F_4(x))
Eq(F_266(x), F_267(x) + F_277(x))
Eq(F_267(x), F_268(x) - F_274(x))
Eq(F_268(x), F_269(x) + F_272(x))
Eq(F_269(x), F_270(x) + F_32(x))
Eq(F_270(x), F_158(x) + F_271(x))
Eq(F_271(x), F_162(x))
Eq(F_272(x), F_273(x))
Eq(F_273(x), F_198(x)*F_21(x)*F_4(x))
Eq(F_274(x), F_275(x) + F_32(x))
Eq(F_275(x), F_276(x))
Eq(F_276(x), F_207(x)*F_21(x)*F_4(x))
Eq(F_277(x), F_278(x))
Eq(F_278(x), F_21(x)*F_237(x)*F_4(x))
Eq(F_279(x), F_263(x)*F_4(x))
Eq(F_280(x), F_281(x)*F_4(x))
Eq(F_281(x), F_282(x) + F_285(x))
Eq(F_282(x), F_283(x) + F_52(x))
Eq(F_283(x), F_284(x))
Eq(F_284(x), F_21(x)*F_4(x)*F_66(x))
Eq(F_285(x), F_286(x))
Eq(F_286(x), F_282(x)*F_39(x)*F_4(x))
Pack JSON:
{"name": "point_and_col_placements_req_corrob", "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": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": false, "place_col": true}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "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, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 3, 2, 1], 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"OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 3, 1, 2, 4], [0, 3, 1, 4, 2], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 1, 3, 2], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1]], "symmetry": false}}, {"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_placements_req_corrob
Tree: http://permpal.com/tree/25648/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[4,x]*F[5,x]
F[4,x] = x
F[5,x] = F[0,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[4,x]*F[8,x]
F[8,x] = F[61,x]+F[9,x]
F[9,x] = F[10,x]+F[22,x]
F[10,x] = F[11,x]+F[12,x]
F[11,x] = -1+(x^2-2*x)*F[11,x]^2+(2+x)*F[11,x]
F[12,x] = F[13,x]
F[13,x] = F[14,x]*F[4,x]
F[14,x] = 1/F[4,x]*F[15,x]
F[15,x] = F[16,x]
F[16,x] = F[17,x]+F[2,x]
F[17,x] = -F[21,x]+F[18,x]
F[18,x] = -F[0,x]+F[19,x]
F[19,x] = 1/F[4,x]*F[20,x]
F[20,x] = F[2,x]
F[21,x] = (x*F[21,x]+x-2*F[21,x])*(x*F[21,x]+x-1)
F[22,x] = F[23,x]
F[23,x] = F[24,x]*F[4,x]
F[24,x] = F[25,x]+F[59,x]
F[25,x] = F[26,x]+F[47,x]
F[26,x] = F[10,x]+F[27,x]
F[27,x] = -F[32,x]+F[28,x]
F[28,x] = 1/F[4,x]*F[29,x]
F[29,x] = F[30,x]
F[30,x] = -F[21,x]+F[31,x]
F[31,x] = -F[0,x]+F[10,x]
F[32,x] = F[33,x]
F[33,x] = F[26,x]*F[34,x]*F[4,x]
F[34,x] = 1/F[10,x]/F[4,x]*F[35,x]
F[35,x] = F[36,x]
F[36,x] = F[37,x]+F[45,x]
F[37,x] = F[38,x]
F[38,x] = F[10,x]*F[39,x]*F[4,x]
F[39,x] = F[40,x]+F[43,x]
F[40,x] = F[1,x]+F[41,x]
F[41,x] = F[42,x]
F[42,x] = F[4,x]*F[40,x]
F[43,x] = F[44,x]
F[44,x] = F[34,x]*F[4,x]*F[40,x]
F[45,x] = F[46,x]
F[46,x] = F[34,x]*F[37,x]*F[4,x]
F[47,x] = F[48,x]
F[48,x] = F[26,x]*F[4,x]*F[49,x]
F[49,x] = F[50,x]+F[53,x]
F[50,x] = F[1,x]+F[51,x]
F[51,x] = F[52,x]
F[52,x] = F[4,x]*F[50,x]
F[53,x] = F[41,x]+F[54,x]
F[54,x] = F[55,x]+F[56,x]+F[58,x]
F[55,x] = 0
F[56,x] = F[4,x]*F[57,x]
F[57,x] = F[51,x]+F[54,x]
F[58,x] = F[4,x]*F[53,x]
F[59,x] = F[60,x]
F[60,x] = F[25,x]*F[4,x]*F[49,x]
F[61,x] = F[541,x]+F[62,x]
F[62,x] = F[63,x]+F[80,x]
F[63,x] = F[64,x]+F[69,x]
F[64,x] = F[65,x]
F[65,x] = F[4,x]*F[66,x]
F[66,x] = F[67,x]+F[68,x]
F[67,x] = F[1,x]+F[64,x]
F[68,x] = F[51,x]
F[69,x] = F[55,x]+F[70,x]+F[74,x]
F[70,x] = F[4,x]*F[71,x]
F[71,x] = F[63,x]+F[72,x]
F[72,x] = F[73,x]+F[77,x]
F[73,x] = F[74,x]
F[74,x] = F[4,x]*F[75,x]
F[75,x] = F[76,x]
F[76,x] = F[4,x]+F[73,x]
F[77,x] = F[78,x]
F[78,x] = F[4,x]*F[79,x]
F[79,x] = F[72,x]
F[80,x] = -F[540,x]+F[81,x]
F[81,x] = -F[538,x]+F[82,x]
F[82,x] = F[83,x]+F[84,x]
F[83,x] = F[11,x]*F[67,x]
F[84,x] = F[85,x]
F[85,x] = F[4,x]*F[86,x]
F[86,x] = F[532,x]+F[87,x]
F[87,x] = F[530,x]+F[88,x]
F[88,x] = F[50,x]*F[89,x]
F[89,x] = F[528,x]+F[90,x]
F[90,x] = F[11,x]+F[91,x]
F[91,x] = -F[149,x]+F[92,x]
F[92,x] = -F[95,x]+F[93,x]
F[93,x] = 1/F[4,x]*F[94,x]
F[94,x] = F[30,x]
F[95,x] = -F[96,x]+F[14,x]
F[96,x] = -F[99,x]+F[97,x]
F[97,x] = 1/F[4,x]*F[98,x]
F[98,x] = F[16,x]
F[99,x] = F[100,x]+F[527,x]
F[100,x] = -F[124,x]+F[101,x]
F[101,x] = 1/F[4,x]*F[102,x]
F[102,x] = F[103,x]
F[103,x] = -F[104,x]+F[6,x]
F[104,x] = F[105,x]
F[105,x] = F[106,x]*F[4,x]
F[106,x] = F[107,x]+F[67,x]
F[107,x] = F[108,x]+F[115,x]
F[108,x] = F[109,x]
F[109,x] = F[110,x]*F[4,x]
F[110,x] = F[111,x]+F[50,x]
F[111,x] = F[112,x]+F[4,x]
F[112,x] = F[113,x]+F[114,x]+F[55,x]
F[113,x] = F[4,x]*F[51,x]
F[114,x] = F[111,x]*F[4,x]
F[115,x] = F[116,x]+F[118,x]+F[55,x]
F[116,x] = F[117,x]*F[4,x]
F[117,x] = F[64,x]
F[118,x] = F[119,x]*F[4,x]
F[119,x] = F[120,x]+F[123,x]
F[120,x] = F[121,x]+F[4,x]
F[121,x] = F[118,x]+F[122,x]+F[55,x]
F[122,x] = F[4,x]*F[64,x]
F[123,x] = F[112,x]
F[124,x] = -F[128,x]+F[125,x]
F[125,x] = 1/F[4,x]*F[126,x]
F[126,x] = F[127,x]
F[127,x] = F[103,x]+F[2,x]
F[128,x] = F[129,x]+F[5,x]
F[129,x] = F[130,x]
F[130,x] = F[131,x]*F[4,x]
F[131,x] = 1/F[4,x]*F[132,x]
F[132,x] = F[133,x]
F[133,x] = -F[136,x]+F[134,x]
F[134,x] = 1/F[4,x]*F[135,x]
F[135,x] = F[17,x]
F[136,x] = F[137,x]+F[151,x]
F[137,x] = F[138,x]
F[138,x] = F[139,x]*F[4,x]
F[139,x] = F[140,x]+F[145,x]
F[140,x] = F[141,x]+F[142,x]
F[141,x] = F[11,x]+F[137,x]
F[142,x] = F[143,x]+F[91,x]
F[143,x] = F[144,x]
F[144,x] = F[137,x]*F[4,x]*F[40,x]
F[145,x] = F[146,x]
F[146,x] = F[147,x]+F[149,x]
F[147,x] = F[148,x]
F[148,x] = F[4,x]*F[89,x]
F[149,x] = F[150,x]
F[150,x] = F[147,x]*F[4,x]*F[40,x]
F[151,x] = F[152,x]
F[152,x] = F[153,x]*F[4,x]
F[153,x] = F[154,x]+F[214,x]
F[154,x] = F[155,x]+F[163,x]
F[155,x] = F[156,x]*F[159,x]
F[156,x] = F[11,x]+F[157,x]
F[157,x] = F[158,x]
F[158,x] = F[11,x]*F[4,x]*F[49,x]
F[159,x] = F[160,x]+F[4,x]
F[160,x] = F[161,x]+F[162,x]+F[55,x]
F[161,x] = F[159,x]*F[4,x]
F[162,x] = F[4,x]*F[51,x]
F[163,x] = F[164,x]
F[164,x] = F[153,x]*F[165,x]*F[4,x]
F[165,x] = 1/F[10,x]/F[4,x]*F[166,x]
F[166,x] = F[167,x]
F[167,x] = -F[156,x]+F[168,x]
F[168,x] = F[169,x]+F[170,x]
F[169,x] = F[0,x]*F[50,x]
F[170,x] = F[171,x]
F[171,x] = F[172,x]*F[4,x]*F[50,x]
F[172,x] = F[173,x]+F[195,x]
F[173,x] = F[174,x]+F[212,x]
F[174,x] = 1/F[21,x]*F[175,x]
F[175,x] = -F[197,x]+F[176,x]
F[176,x] = -F[194,x]+F[177,x]
F[177,x] = 1/F[4,x]*F[178,x]
F[178,x] = F[179,x]
F[179,x] = F[180,x]
F[180,x] = F[181,x]*F[4,x]
F[181,x] = F[182,x]+F[192,x]
F[182,x] = F[183,x]*F[186,x]
F[183,x] = -F[36,x]+F[184,x]
F[184,x] = F[185,x]+F[190,x]
F[185,x] = F[0,x]+F[186,x]
F[186,x] = F[187,x]
F[187,x] = F[188,x]*F[4,x]
F[188,x] = F[184,x]+F[189,x]
F[189,x] = F[38,x]
F[190,x] = F[179,x]+F[191,x]
F[191,x] = F[0,x]*F[21,x]
F[192,x] = F[185,x]*F[193,x]
F[193,x] = -F[183,x]+F[34,x]
F[194,x] = F[195,x]*F[21,x]
F[195,x] = F[196,x]
F[196,x] = F[10,x]*F[4,x]*F[49,x]
F[197,x] = F[198,x]
F[198,x] = -F[208,x]+F[199,x]
F[199,x] = -F[202,x]+F[200,x]
F[200,x] = 1/F[4,x]*F[201,x]
F[201,x] = F[179,x]
F[202,x] = F[203,x]*F[21,x]
F[203,x] = F[204,x]+F[205,x]
F[204,x] = F[4,x]*F[40,x]
F[205,x] = F[206,x]
F[206,x] = F[207,x]*F[4,x]*F[40,x]
F[207,x] = F[2,x]+F[31,x]
F[208,x] = F[209,x]*F[21,x]
F[209,x] = -F[203,x]+F[210,x]
F[210,x] = 1/F[4,x]*F[211,x]
F[211,x] = F[186,x]
F[212,x] = F[213,x]
F[213,x] = -F[185,x]+F[168,x]
F[214,x] = F[215,x]+F[237,x]
F[215,x] = F[216,x]*F[50,x]
F[216,x] = F[159,x]+F[217,x]
F[217,x] = 1/F[50,x]*F[218,x]
F[218,x] = -F[221,x]+F[219,x]
F[219,x] = 1/F[4,x]*F[220,x]
F[220,x] = F[80,x]
F[221,x] = F[222,x]*F[234,x]
F[222,x] = 1/F[4,x]/F[40,x]*F[223,x]
F[223,x] = F[224,x]
F[224,x] = -F[231,x]+F[225,x]
F[225,x] = F[226,x]+F[227,x]
F[226,x] = F[205,x]*F[50,x]
F[227,x] = -F[230,x]+F[228,x]
F[228,x] = F[229,x]
F[229,x] = F[25,x]*F[4,x]*F[40,x]
F[230,x] = F[203,x]*F[50,x]
F[231,x] = -F[232,x]+F[228,x]
F[232,x] = F[233,x]
F[233,x] = F[156,x]*F[4,x]*F[40,x]
F[234,x] = F[235,x]+F[236,x]
F[235,x] = F[1,x]+F[4,x]
F[236,x] = F[160,x]+F[51,x]
F[237,x] = F[238,x]
F[238,x] = F[239,x]*F[4,x]*F[525,x]
F[239,x] = 1/F[325,x]/F[4,x]*F[240,x]
F[240,x] = F[241,x]
F[241,x] = -F[216,x]+F[242,x]
F[242,x] = 1/F[40,x]*F[243,x]
F[243,x] = -F[521,x]+F[244,x]
F[244,x] = F[245,x]+F[520,x]
F[245,x] = F[246,x]*F[40,x]
F[246,x] = 1/F[40,x]/F[50,x]*F[247,x]
F[247,x] = F[248,x]
F[248,x] = -F[515,x]+F[249,x]
F[249,x] = 1/F[4,x]*F[250,x]
F[250,x] = F[251,x]
F[251,x] = F[252,x]*F[4,x]
F[252,x] = F[253,x]+F[513,x]
F[253,x] = F[254,x]+F[352,x]
F[254,x] = F[255,x]*F[325,x]
F[255,x] = F[256,x]+F[271,x]
F[256,x] = F[234,x]+F[257,x]
F[257,x] = F[258,x]
F[258,x] = F[108,x]+F[259,x]
F[259,x] = F[260,x]+F[270,x]+F[55,x]
F[260,x] = F[261,x]*F[4,x]
F[261,x] = F[159,x]+F[262,x]
F[262,x] = F[263,x]+F[266,x]
F[263,x] = F[264,x]+F[265,x]+F[55,x]
F[264,x] = x^2
F[265,x] = x^2
F[266,x] = F[267,x]+F[268,x]+F[269,x]+F[55,x]
F[267,x] = F[160,x]*F[4,x]
F[268,x] = F[262,x]*F[4,x]
F[269,x] = F[112,x]*F[4,x]
F[270,x] = F[108,x]*F[4,x]
F[271,x] = F[272,x]+F[286,x]
F[272,x] = F[273,x]+F[278,x]
F[273,x] = F[274,x]+F[41,x]
F[274,x] = F[275,x]+F[277,x]+F[55,x]
F[275,x] = F[276,x]*F[4,x]
F[276,x] = F[274,x]+F[4,x]
F[277,x] = F[4,x]*F[41,x]
F[278,x] = F[279,x]+F[282,x]
F[279,x] = F[280,x]
F[280,x] = F[281,x]*F[4,x]
F[281,x] = F[279,x]+F[41,x]
F[282,x] = 2*F[55,x]+F[283,x]+F[285,x]
F[283,x] = F[284,x]*F[4,x]
F[284,x] = F[274,x]+F[282,x]
F[285,x] = F[279,x]*F[4,x]
F[286,x] = F[287,x]
F[287,x] = F[288,x]+F[299,x]
F[288,x] = F[289,x]+F[55,x]+F[56,x]
F[289,x] = F[290,x]*F[4,x]
F[290,x] = F[291,x]+F[53,x]
F[291,x] = F[274,x]+F[292,x]
F[292,x] = F[293,x]+F[297,x]+F[298,x]+F[55,x]
F[293,x] = F[294,x]*F[4,x]
F[294,x] = F[295,x]+F[296,x]
F[295,x] = F[113,x]
F[296,x] = 2*F[55,x]+F[293,x]+F[297,x]
F[297,x] = F[4,x]*F[54,x]
F[298,x] = F[291,x]*F[4,x]
F[299,x] = F[300,x]+F[306,x]+F[324,x]+F[55,x]
F[300,x] = F[301,x]*F[4,x]
F[301,x] = F[160,x]+F[302,x]
F[302,x] = F[300,x]+F[303,x]+F[305,x]+F[55,x]
F[303,x] = F[304,x]*F[4,x]
F[304,x] = F[274,x]+F[302,x]
F[305,x] = F[4,x]*F[54,x]
F[306,x] = F[307,x]*F[4,x]
F[307,x] = F[304,x]+F[308,x]
F[308,x] = F[309,x]+F[314,x]
F[309,x] = F[310,x]+F[312,x]+F[313,x]+F[55,x]
F[310,x] = F[311,x]*F[4,x]
F[311,x] = F[263,x]+F[309,x]
F[312,x] = F[274,x]*F[4,x]
F[313,x] = F[274,x]*F[4,x]
F[314,x] = F[315,x]+F[320,x]+F[322,x]+F[323,x]+F[55,x]
F[315,x] = F[316,x]*F[4,x]
F[316,x] = F[317,x]+F[319,x]
F[317,x] = 2*F[55,x]+F[267,x]+F[318,x]
F[318,x] = F[295,x]*F[4,x]
F[319,x] = 2*F[55,x]+F[315,x]+F[320,x]+F[321,x]
F[320,x] = F[302,x]*F[4,x]
F[321,x] = F[296,x]*F[4,x]
F[322,x] = F[308,x]*F[4,x]
F[323,x] = F[292,x]*F[4,x]
F[324,x] = F[288,x]*F[4,x]
F[325,x] = F[11,x]+F[326,x]
F[326,x] = 1/F[64,x]*F[327,x]
F[327,x] = -F[349,x]+F[328,x]
F[328,x] = F[329,x]
F[329,x] = F[330,x]*F[4,x]
F[330,x] = 1/F[4,x]*F[331,x]
F[331,x] = F[332,x]
F[332,x] = F[333,x]+F[338,x]
F[333,x] = F[334,x]+F[336,x]
F[334,x] = F[335,x]*F[41,x]
F[335,x] = F[1,x]+F[108,x]
F[336,x] = F[337,x]*F[50,x]
F[337,x] = x*(x^4*F[337,x]^2+(-5*F[337,x]^2-F[337,x])*x^3+(9*F[337,x]^2+6*F[337,x]-1)*x^2+(-7*F[337,x]^2-10*F[337,x]+1)*x+2*F[337,x]^2+6*F[337,x])
F[338,x] = F[339,x]
F[339,x] = F[340,x]*F[4,x]
F[340,x] = F[341,x]+F[348,x]
F[341,x] = F[342,x]+F[347,x]
F[342,x] = F[343,x]*F[41,x]
F[343,x] = F[234,x]+F[344,x]
F[344,x] = F[345,x]+F[346,x]
F[345,x] = F[263,x]+F[4,x]
F[346,x] = F[112,x]+F[266,x]
F[347,x] = F[234,x]*F[337,x]
F[348,x] = F[234,x]*F[4,x]*F[41,x]
F[349,x] = F[350,x]+F[351,x]
F[350,x] = F[104,x]*F[40,x]
F[351,x] = F[337,x]*F[64,x]
F[352,x] = F[353,x]
F[353,x] = F[354,x]*F[485,x]
F[354,x] = 1/F[363,x]*F[355,x]
F[355,x] = F[356,x]
F[356,x] = -F[357,x]+F[252,x]
F[357,x] = F[325,x]*F[358,x]
F[358,x] = F[359,x]+F[361,x]
F[359,x] = F[159,x]+F[360,x]
F[360,x] = F[259,x]
F[361,x] = F[284,x]+F[362,x]
F[362,x] = F[299,x]
F[363,x] = F[364,x]+F[484,x]
F[364,x] = -F[511,x]+F[365,x]
F[365,x] = F[366,x]+F[434,x]
F[366,x] = F[325,x]+F[367,x]
F[367,x] = F[368,x]+F[369,x]
F[368,x] = F[11,x]*F[2,x]
F[369,x] = F[370,x]
F[370,x] = F[19,x]*F[371,x]*F[4,x]
F[371,x] = F[326,x]+F[372,x]
F[372,x] = F[373,x]
F[373,x] = F[374,x]*F[4,x]
F[374,x] = 1/F[19,x]/F[4,x]*F[375,x]
F[375,x] = F[376,x]
F[376,x] = F[377,x]+F[508,x]
F[377,x] = -F[380,x]+F[378,x]
F[378,x] = 1/F[4,x]*F[379,x]
F[379,x] = F[151,x]
F[380,x] = 1/F[4,x]*F[381,x]
F[381,x] = F[382,x]
F[382,x] = F[383,x]+F[384,x]
F[383,x] = F[21,x]*F[4,x]
F[384,x] = F[385,x]
F[385,x] = F[386,x]*F[387,x]*F[4,x]
F[386,x] = F[41,x]+F[43,x]
F[387,x] = 1/F[4,x]/F[450,x]*F[388,x]
F[388,x] = F[389,x]
F[389,x] = -F[507,x]+F[390,x]
F[390,x] = F[391,x]+F[397,x]
F[391,x] = F[392,x]
F[392,x] = F[393,x]*F[394,x]
F[393,x] = F[335,x]+F[51,x]
F[394,x] = F[395,x]
F[395,x] = F[396,x]*F[4,x]
F[396,x] = F[21,x]+F[91,x]
F[397,x] = F[398,x]
F[398,x] = F[399,x]*F[4,x]
F[399,x] = -F[505,x]+F[400,x]
F[400,x] = 1/F[19,x]/F[4,x]*F[401,x]
F[401,x] = F[402,x]
F[402,x] = F[403,x]+F[430,x]
F[403,x] = F[404,x]*F[405,x]
F[404,x] = F[20,x]
F[405,x] = F[156,x]+F[406,x]
F[406,x] = F[407,x]
F[407,x] = -F[11,x]+F[408,x]
F[408,x] = F[335,x]+F[409,x]
F[409,x] = F[410,x]
F[410,x] = F[4,x]*F[411,x]
F[411,x] = 1/F[4,x]*F[412,x]
F[412,x] = F[413,x]
F[413,x] = -F[335,x]+F[414,x]
F[414,x] = F[11,x]+F[415,x]
F[415,x] = F[416,x]
F[416,x] = F[4,x]*F[417,x]
F[417,x] = 1/F[4,x]*F[418,x]
F[418,x] = F[419,x]
F[419,x] = 1/F[4,x]*F[420,x]
F[420,x] = -F[427,x]+F[421,x]
F[421,x] = F[422,x]
F[422,x] = F[4,x]*F[423,x]
F[423,x] = F[424,x]+F[426,x]
F[424,x] = F[183,x]+F[425,x]
F[425,x] = F[40,x]*F[51,x]
F[426,x] = F[159,x]*F[40,x]
F[427,x] = F[428,x]+F[429,x]
F[428,x] = F[40,x]*F[64,x]
F[429,x] = F[337,x]*F[4,x]
F[430,x] = F[431,x]
F[431,x] = F[4,x]*F[432,x]*F[450,x]
F[432,x] = F[433,x]+F[449,x]
F[433,x] = F[434,x]
F[434,x] = F[435,x]
F[435,x] = -F[446,x]+F[436,x]
F[436,x] = 1/F[4,x]*F[437,x]
F[437,x] = F[438,x]
F[438,x] = F[439,x]+F[442,x]
F[439,x] = F[21,x]+F[440,x]
F[440,x] = F[441,x]
F[441,x] = F[19,x]*F[396,x]*F[4,x]
F[442,x] = F[443,x]
F[443,x] = F[4,x]*F[444,x]
F[444,x] = F[445,x]
F[445,x] = F[183,x]*F[19,x]*F[4,x]
F[446,x] = F[366,x]+F[447,x]
F[447,x] = F[448,x]
F[448,x] = F[19,x]*F[325,x]*F[4,x]
F[449,x] = F[367,x]
F[450,x] = 1/F[4,x]/F[483,x]*F[451,x]
F[451,x] = F[452,x]
F[452,x] = -F[482,x]+F[453,x]
F[453,x] = F[454,x]+F[457,x]
F[454,x] = F[455,x]
F[455,x] = F[393,x]*F[456,x]
F[456,x] = F[21,x]+F[394,x]
F[457,x] = F[397,x]+F[458,x]
F[458,x] = -F[480,x]+F[459,x]
F[459,x] = 1/F[50,x]*F[460,x]
F[460,x] = -F[473,x]+F[461,x]
F[461,x] = 1/F[4,x]*F[462,x]
F[462,x] = F[463,x]
F[463,x] = -F[333,x]+F[464,x]
F[464,x] = F[409,x]+F[465,x]
F[465,x] = F[466,x]
F[466,x] = F[4,x]*F[467,x]
F[467,x] = F[468,x]+F[472,x]
F[468,x] = F[469,x]*F[50,x]
F[469,x] = -F[470,x]+F[405,x]
F[470,x] = F[471,x]+F[50,x]
F[471,x] = F[108,x]
F[472,x] = F[111,x]*F[53,x]
F[473,x] = F[474,x]
F[474,x] = F[472,x]+F[475,x]
F[475,x] = F[476,x]*F[49,x]
F[476,x] = F[477,x]
F[477,x] = F[4,x]*F[478,x]*F[50,x]
F[478,x] = F[337,x]+F[479,x]
F[479,x] = F[41,x]*F[50,x]
F[480,x] = F[481,x]
F[481,x] = F[21,x]*F[393,x]
F[482,x] = F[235,x]*F[469,x]
F[483,x] = F[364,x]+F[484,x]
F[484,x] = -F[485,x]+F[387,x]
F[485,x] = -F[490,x]+F[486,x]
F[486,x] = F[487,x]+F[488,x]
F[487,x] = F[156,x]*F[4,x]
F[488,x] = F[489,x]
F[489,x] = F[165,x]*F[387,x]*F[4,x]
F[490,x] = F[491,x]
F[491,x] = -F[496,x]+F[492,x]
F[492,x] = F[397,x]+F[493,x]
F[493,x] = F[494,x]
F[494,x] = F[393,x]*F[495,x]
F[495,x] = F[394,x]+F[4,x]
F[496,x] = -F[497,x]+F[380,x]
F[497,x] = -F[500,x]+F[498,x]
F[498,x] = 1/F[4,x]*F[499,x]
F[499,x] = F[384,x]
F[500,x] = -F[501,x]+F[389,x]
F[501,x] = F[502,x]
F[502,x] = -F[503,x]+F[488,x]
F[503,x] = -F[383,x]+F[504,x]
F[504,x] = F[382,x]+F[394,x]
F[505,x] = F[506,x]
F[506,x] = F[393,x]*F[90,x]
F[507,x] = F[4,x]*F[469,x]
F[508,x] = F[509,x]
F[509,x] = F[374,x]*F[4,x]*F[510,x]
F[510,x] = F[18,x]+F[2,x]
F[511,x] = -F[485,x]+F[512,x]
F[512,x] = F[367,x]+F[434,x]
F[513,x] = F[514,x]
F[514,x] = F[354,x]*F[484,x]
F[515,x] = F[516,x]*F[517,x]
F[516,x] = F[159,x]+F[284,x]
F[517,x] = F[156,x]+F[518,x]
F[518,x] = F[519,x]
F[519,x] = F[165,x]*F[325,x]*F[4,x]
F[520,x] = F[276,x]*F[517,x]
F[521,x] = F[522,x]+F[524,x]
F[522,x] = F[517,x]*F[523,x]
F[523,x] = F[235,x]+F[273,x]
F[524,x] = F[40,x]*F[486,x]
F[525,x] = 1/F[4,x]*F[526,x]
F[526,x] = F[407,x]
F[527,x] = F[143,x]
F[528,x] = F[529,x]
F[529,x] = F[4,x]*F[49,x]*F[90,x]
F[530,x] = F[531,x]
F[531,x] = F[11,x]*F[49,x]*F[64,x]
F[532,x] = F[533,x]+F[535,x]
F[533,x] = F[534,x]
F[534,x] = F[4,x]*F[49,x]*F[89,x]
F[535,x] = F[536,x]
F[536,x] = F[11,x]*F[51,x]*F[537,x]
F[537,x] = F[159,x]+F[304,x]
F[538,x] = F[539,x]+F[67,x]
F[539,x] = F[64,x]+F[69,x]
F[540,x] = -F[67,x]+F[141,x]
F[541,x] = F[542,x]
F[542,x] = F[4,x]*F[543,x]
F[543,x] = F[544,x]+F[643,x]
F[544,x] = F[545,x]
F[545,x] = F[4,x]*F[546,x]
F[546,x] = F[547,x]+F[628,x]
F[547,x] = F[165,x]*F[548,x]
F[548,x] = 1/F[4,x]*F[549,x]
F[549,x] = F[550,x]
F[550,x] = F[551,x]+F[618,x]
F[551,x] = F[552,x]+F[64,x]
F[552,x] = F[553,x]
F[553,x] = F[4,x]*F[554,x]
F[554,x] = F[550,x]+F[555,x]
F[555,x] = -F[556,x]+F[8,x]
F[556,x] = -F[559,x]+F[557,x]
F[557,x] = 1/F[4,x]*F[558,x]
F[558,x] = F[6,x]
F[559,x] = F[560,x]+F[613,x]
F[560,x] = -F[10,x]+F[561,x]
F[561,x] = -F[564,x]+F[562,x]
F[562,x] = 1/F[4,x]*F[563,x]
F[563,x] = F[31,x]
F[564,x] = F[565,x]
F[565,x] = F[4,x]*F[566,x]
F[566,x] = F[567,x]+F[609,x]
F[567,x] = F[568,x]+F[574,x]
F[568,x] = F[414,x]*F[569,x]
F[569,x] = F[10,x]+F[570,x]
F[570,x] = F[571,x]
F[571,x] = -F[556,x]+F[572,x]
F[572,x] = 1/F[4,x]*F[573,x]
F[573,x] = F[551,x]
F[574,x] = F[575,x]+F[606,x]
F[575,x] = F[576,x]
F[576,x] = -F[586,x]+F[577,x]
F[577,x] = 1/F[4,x]*F[578,x]
F[578,x] = F[579,x]
F[579,x] = -F[12,x]+F[580,x]
F[580,x] = F[581,x]
F[581,x] = F[4,x]*F[582,x]
F[582,x] = F[583,x]+F[584,x]
F[583,x] = F[26,x]*F[39,x]
F[584,x] = F[585,x]
F[585,x] = F[39,x]*F[4,x]*F[582,x]
F[586,x] = F[587,x]+F[588,x]
F[587,x] = F[12,x]*F[414,x]
F[588,x] = F[589,x]
F[589,x] = F[4,x]*F[580,x]*F[590,x]
F[590,x] = 1/F[4,x]/F[592,x]*F[591,x]
F[591,x] = F[574,x]
F[592,x] = F[593,x]+F[596,x]
F[593,x] = F[26,x]+F[594,x]
F[594,x] = F[595,x]
F[595,x] = F[25,x]*F[4,x]*F[40,x]
F[596,x] = F[597,x]
F[597,x] = -F[601,x]+F[598,x]
F[598,x] = 1/F[4,x]*F[599,x]
F[599,x] = F[600,x]
F[600,x] = -F[22,x]+F[555,x]
F[601,x] = F[602,x]+F[604,x]
F[602,x] = F[603,x]
F[603,x] = F[4,x]*F[40,x]*F[548,x]
F[604,x] = F[605,x]
F[605,x] = F[40,x]*F[600,x]
F[606,x] = F[607,x]
F[607,x] = F[4,x]*F[590,x]*F[608,x]
F[608,x] = F[594,x]+F[596,x]
F[609,x] = F[610,x]
F[610,x] = F[611,x]
F[611,x] = F[4,x]*F[590,x]*F[612,x]
F[612,x] = F[564,x]+F[569,x]
F[613,x] = F[614,x]
F[614,x] = F[4,x]*F[615,x]
F[615,x] = F[601,x]+F[616,x]
F[616,x] = F[617,x]
F[617,x] = F[24,x]*F[4,x]*F[40,x]
F[618,x] = -F[6,x]+F[619,x]
F[619,x] = -F[622,x]+F[620,x]
F[620,x] = 1/F[4,x]*F[621,x]
F[621,x] = F[103,x]
F[622,x] = -F[625,x]+F[623,x]
F[623,x] = 1/F[4,x]*F[624,x]
F[624,x] = F[127,x]
F[625,x] = F[5,x]+F[626,x]
F[626,x] = -F[627,x]+F[556,x]
F[627,x] = F[0,x]+F[551,x]
F[628,x] = F[239,x]*F[629,x]
F[629,x] = -F[641,x]+F[630,x]
F[630,x] = F[525,x]+F[631,x]
F[631,x] = 1/F[4,x]*F[632,x]
F[632,x] = F[633,x]
F[633,x] = F[634,x]
F[634,x] = F[4,x]*F[635,x]
F[635,x] = -F[638,x]+F[636,x]
F[636,x] = 1/F[4,x]*F[637,x]
F[637,x] = F[579,x]
F[638,x] = F[195,x]+F[639,x]
F[639,x] = F[640,x]
F[640,x] = F[27,x]*F[4,x]*F[49,x]
F[641,x] = F[642,x]
F[642,x] = F[4,x]*F[49,x]*F[629,x]
F[643,x] = F[644,x]
F[644,x] = F[4,x]*F[645,x]
F[645,x] = F[646,x]+F[732,x]
F[646,x] = F[165,x]*F[647,x]
F[647,x] = F[648,x]+F[728,x]
F[648,x] = -F[651,x]+F[649,x]
F[649,x] = 1/F[4,x]*F[650,x]
F[650,x] = F[559,x]
F[651,x] = F[652,x]
F[652,x] = F[653,x]+F[726,x]
F[653,x] = -F[684,x]+F[654,x]
F[654,x] = 1/F[4,x]*F[655,x]
F[655,x] = F[656,x]
F[656,x] = F[657,x]
F[657,x] = F[4,x]*F[658,x]
F[658,x] = F[659,x]+F[682,x]
F[659,x] = F[660,x]+F[662,x]
F[660,x] = F[408,x]+F[661,x]
F[661,x] = F[12,x]+F[633,x]
F[662,x] = 1/F[4,x]*F[663,x]
F[663,x] = F[664,x]
F[664,x] = -F[186,x]+F[665,x]
F[665,x] = F[666,x]
F[666,x] = F[4,x]*F[667,x]
F[667,x] = F[668,x]+F[677,x]
F[668,x] = F[669,x]+F[675,x]
F[669,x] = F[665,x]+F[670,x]
F[670,x] = F[50,x]+F[671,x]
F[671,x] = F[672,x]
F[672,x] = -F[0,x]+F[673,x]
F[673,x] = -F[665,x]+F[674,x]
F[674,x] = F[185,x]+F[656,x]
F[675,x] = F[676,x]
F[676,x] = F[34,x]*F[4,x]*F[669,x]
F[677,x] = F[678,x]+F[679,x]
F[678,x] = F[672,x]
F[679,x] = F[680,x]
F[680,x] = -F[681,x]+F[665,x]
F[681,x] = F[21,x]*F[50,x]
F[682,x] = F[683,x]
F[683,x] = F[25,x]*F[4,x]
F[684,x] = F[685,x]+F[724,x]
F[685,x] = F[670,x]+F[686,x]
F[686,x] = -F[671,x]+F[687,x]
F[687,x] = 1/F[159,x]*F[688,x]
F[688,x] = -F[702,x]+F[689,x]
F[689,x] = 1/F[4,x]*F[690,x]
F[690,x] = F[691,x]
F[691,x] = -F[701,x]+F[692,x]
F[692,x] = F[693,x]+F[694,x]
F[693,x] = F[7,x]
F[694,x] = F[695,x]
F[695,x] = F[4,x]*F[696,x]
F[696,x] = F[697,x]+F[700,x]
F[697,x] = F[50,x]*F[698,x]
F[698,x] = F[671,x]+F[699,x]
F[699,x] = F[552,x]
F[700,x] = F[159,x]*F[671,x]
F[701,x] = F[2,x]*F[67,x]
F[702,x] = F[50,x]*F[703,x]
F[703,x] = F[704,x]+F[707,x]
F[704,x] = F[705,x]
F[705,x] = F[21,x]*F[706,x]
F[706,x] = F[50,x]+F[64,x]
F[707,x] = F[708,x]+F[720,x]
F[708,x] = 1/F[414,x]*F[709,x]
F[709,x] = -F[574,x]+F[710,x]
F[710,x] = -F[715,x]+F[711,x]
F[711,x] = 1/F[4,x]*F[712,x]
F[712,x] = F[713,x]
F[713,x] = -F[714,x]+F[564,x]
F[714,x] = F[326,x]*F[50,x]
F[715,x] = F[716,x]
F[716,x] = -F[717,x]+F[610,x]
F[717,x] = F[50,x]*F[718,x]
F[718,x] = F[719,x]
F[719,x] = F[325,x]*F[4,x]*F[590,x]
F[720,x] = F[721,x]
F[721,x] = F[552,x]+F[722,x]
F[722,x] = -F[723,x]+F[618,x]
F[723,x] = F[21,x]*F[64,x]
F[724,x] = 1/F[4,x]*F[725,x]
F[725,x] = F[664,x]
F[726,x] = F[727,x]
F[727,x] = F[4,x]*F[40,x]*F[653,x]
F[728,x] = F[729,x]
F[729,x] = F[4,x]*F[40,x]*F[730,x]
F[730,x] = 1/F[4,x]/F[40,x]*F[731,x]
F[731,x] = F[652,x]
F[732,x] = F[733,x]
F[733,x] = F[239,x]*F[730,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_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{4}\! \left(x \right) = x
F_{5}\! \left(x \right) = F_{0}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{4}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{61}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{22}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{12}\! \left(x \right)
F_{11}\! \left(x \right) = x^{2} F_{11} \left(x \right)^{2}-2 x F_{11} \left(x \right)^{2}+F_{11}\! \left(x \right) x +2 F_{11}\! \left(x \right)-1
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right) F_{4}\! \left(x \right)
F_{14}\! \left(x \right) = \frac{F_{15}\! \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_{2}\! \left(x \right)
F_{17}\! \left(x \right) = -F_{21}\! \left(x \right)+F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = \frac{F_{20}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{20}\! \left(x \right) = F_{2}\! \left(x \right)
F_{21}\! \left(x \right) = x^{2} F_{21} \left(x \right)^{2}+2 x^{2} F_{21}\! \left(x \right)-2 x F_{21} \left(x \right)^{2}+x^{2}-3 x F_{21}\! \left(x \right)-x +2 F_{21}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right) F_{4}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)+F_{59}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)+F_{47}\! \left(x \right)
F_{26}\! \left(x \right) = F_{10}\! \left(x \right)+F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = -F_{32}\! \left(x \right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = \frac{F_{29}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = -F_{21}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{10}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{26}\! \left(x \right) F_{34}\! \left(x \right) F_{4}\! \left(x \right)
F_{34}\! \left(x \right) = \frac{F_{35}\! \left(x \right)}{F_{10}\! \left(x \right) F_{4}\! \left(x \right)}
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)+F_{45}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{10}\! \left(x \right) F_{39}\! \left(x \right) F_{4}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)+F_{43}\! \left(x \right)
F_{40}\! \left(x \right) = F_{1}\! \left(x \right)+F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{4}\! \left(x \right) F_{40}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{34}\! \left(x \right) F_{4}\! \left(x \right) F_{40}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{34}\! \left(x \right) F_{37}\! \left(x \right) F_{4}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{26}\! \left(x \right) F_{4}\! \left(x \right) F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)+F_{53}\! \left(x \right)
F_{50}\! \left(x \right) = F_{1}\! \left(x \right)+F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{4}\! \left(x \right) F_{50}\! \left(x \right)
F_{53}\! \left(x \right) = F_{41}\! \left(x \right)+F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)+F_{56}\! \left(x \right)+F_{58}\! \left(x \right)
F_{55}\! \left(x \right) = 0
F_{56}\! \left(x \right) = F_{4}\! \left(x \right) F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{51}\! \left(x \right)+F_{54}\! \left(x \right)
F_{58}\! \left(x \right) = F_{4}\! \left(x \right) F_{53}\! \left(x \right)
F_{59}\! \left(x \right) = F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{25}\! \left(x \right) F_{4}\! \left(x \right) F_{49}\! \left(x \right)
F_{61}\! \left(x \right) = F_{541}\! \left(x \right)+F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)+F_{80}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)+F_{69}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{4}\! \left(x \right) F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)+F_{68}\! \left(x \right)
F_{67}\! \left(x \right) = F_{1}\! \left(x \right)+F_{64}\! \left(x \right)
F_{68}\! \left(x \right) = F_{51}\! \left(x \right)
F_{69}\! \left(x \right) = F_{55}\! \left(x \right)+F_{70}\! \left(x \right)+F_{74}\! \left(x \right)
F_{70}\! \left(x \right) = F_{4}\! \left(x \right) F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{63}\! \left(x \right)+F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)+F_{77}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{4}\! \left(x \right) F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{4}\! \left(x \right)+F_{73}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{4}\! \left(x \right) F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{72}\! \left(x \right)
F_{80}\! \left(x \right) = -F_{540}\! \left(x \right)+F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = -F_{538}\! \left(x \right)+F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{83}\! \left(x \right)+F_{84}\! \left(x \right)
F_{83}\! \left(x \right) = F_{11}\! \left(x \right) F_{67}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{4}\! \left(x \right) F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{532}\! \left(x \right)+F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{530}\! \left(x \right)+F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{50}\! \left(x \right) F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{528}\! \left(x \right)+F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{11}\! \left(x \right)+F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = -F_{149}\! \left(x \right)+F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = -F_{95}\! \left(x \right)+F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = \frac{F_{94}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{94}\! \left(x \right) = F_{30}\! \left(x \right)
F_{95}\! \left(x \right) = -F_{96}\! \left(x \right)+F_{14}\! \left(x \right)
F_{96}\! \left(x \right) = -F_{99}\! \left(x \right)+F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = \frac{F_{98}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{98}\! \left(x \right) = F_{16}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)+F_{527}\! \left(x \right)
F_{100}\! \left(x \right) = -F_{124}\! \left(x \right)+F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = \frac{F_{102}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = -F_{104}\! \left(x \right)+F_{6}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right) F_{4}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right)+F_{67}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)+F_{115}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right) F_{4}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)+F_{50}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)+F_{4}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)+F_{114}\! \left(x \right)+F_{55}\! \left(x \right)
F_{113}\! \left(x \right) = F_{4}\! \left(x \right) F_{51}\! \left(x \right)
F_{114}\! \left(x \right) = F_{111}\! \left(x \right) F_{4}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)+F_{118}\! \left(x \right)+F_{55}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right) F_{4}\! \left(x \right)
F_{117}\! \left(x \right) = F_{64}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right) F_{4}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)+F_{123}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right)+F_{4}\! \left(x \right)
F_{121}\! \left(x \right) = F_{118}\! \left(x \right)+F_{122}\! \left(x \right)+F_{55}\! \left(x \right)
F_{122}\! \left(x \right) = F_{4}\! \left(x \right) F_{64}\! \left(x \right)
F_{123}\! \left(x \right) = F_{112}\! \left(x \right)
F_{124}\! \left(x \right) = -F_{128}\! \left(x \right)+F_{125}\! \left(x \right)
F_{125}\! \left(x \right) = \frac{F_{126}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = F_{103}\! \left(x \right)+F_{2}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)+F_{5}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right) F_{4}\! \left(x \right)
F_{131}\! \left(x \right) = \frac{F_{132}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)
F_{133}\! \left(x \right) = -F_{136}\! \left(x \right)+F_{134}\! \left(x \right)
F_{134}\! \left(x \right) = \frac{F_{135}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{135}\! \left(x \right) = F_{17}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right)+F_{151}\! \left(x \right)
F_{137}\! \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_{145}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)+F_{142}\! \left(x \right)
F_{141}\! \left(x \right) = F_{11}\! \left(x \right)+F_{137}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)+F_{91}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = F_{137}\! \left(x \right) F_{4}\! \left(x \right) F_{40}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right)+F_{149}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right)
F_{148}\! \left(x \right) = F_{4}\! \left(x \right) F_{89}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right)
F_{150}\! \left(x \right) = F_{147}\! \left(x \right) F_{4}\! \left(x \right) F_{40}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right) F_{4}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right)+F_{214}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)+F_{163}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right) F_{159}\! \left(x \right)
F_{156}\! \left(x \right) = F_{11}\! \left(x \right)+F_{157}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)
F_{158}\! \left(x \right) = F_{11}\! \left(x \right) F_{4}\! \left(x \right) F_{49}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right)+F_{4}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right)+F_{162}\! \left(x \right)+F_{55}\! \left(x \right)
F_{161}\! \left(x \right) = F_{159}\! \left(x \right) F_{4}\! \left(x \right)
F_{162}\! \left(x \right) = F_{4}\! \left(x \right) F_{51}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right)
F_{164}\! \left(x \right) = F_{153}\! \left(x \right) F_{165}\! \left(x \right) F_{4}\! \left(x \right)
F_{165}\! \left(x \right) = \frac{F_{166}\! \left(x \right)}{F_{10}\! \left(x \right) F_{4}\! \left(x \right)}
F_{166}\! \left(x \right) = F_{167}\! \left(x \right)
F_{167}\! \left(x \right) = -F_{156}\! \left(x \right)+F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right)+F_{170}\! \left(x \right)
F_{169}\! \left(x \right) = F_{0}\! \left(x \right) F_{50}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right) F_{4}\! \left(x \right) F_{50}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right)+F_{195}\! \left(x \right)
F_{173}\! \left(x \right) = F_{174}\! \left(x \right)+F_{212}\! \left(x \right)
F_{174}\! \left(x \right) = \frac{F_{175}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{175}\! \left(x \right) = -F_{197}\! \left(x \right)+F_{176}\! \left(x \right)
F_{176}\! \left(x \right) = -F_{194}\! \left(x \right)+F_{177}\! \left(x \right)
F_{177}\! \left(x \right) = \frac{F_{178}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{178}\! \left(x \right) = F_{179}\! \left(x \right)
F_{179}\! \left(x \right) = F_{180}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right) F_{4}\! \left(x \right)
F_{181}\! \left(x \right) = F_{182}\! \left(x \right)+F_{192}\! \left(x \right)
F_{182}\! \left(x \right) = F_{183}\! \left(x \right) F_{186}\! \left(x \right)
F_{183}\! \left(x \right) = -F_{36}\! \left(x \right)+F_{184}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x \right)+F_{190}\! \left(x \right)
F_{185}\! \left(x \right) = F_{0}\! \left(x \right)+F_{186}\! \left(x \right)
F_{186}\! \left(x \right) = F_{187}\! \left(x \right)
F_{187}\! \left(x \right) = F_{188}\! \left(x \right) F_{4}\! \left(x \right)
F_{188}\! \left(x \right) = F_{184}\! \left(x \right)+F_{189}\! \left(x \right)
F_{189}\! \left(x \right) = F_{38}\! \left(x \right)
F_{190}\! \left(x \right) = F_{179}\! \left(x \right)+F_{191}\! \left(x \right)
F_{191}\! \left(x \right) = F_{0}\! \left(x \right) F_{21}\! \left(x \right)
F_{192}\! \left(x \right) = F_{185}\! \left(x \right) F_{193}\! \left(x \right)
F_{193}\! \left(x \right) = -F_{183}\! \left(x \right)+F_{34}\! \left(x \right)
F_{194}\! \left(x \right) = F_{195}\! \left(x \right) F_{21}\! \left(x \right)
F_{195}\! \left(x \right) = F_{196}\! \left(x \right)
F_{196}\! \left(x \right) = F_{10}\! \left(x \right) F_{4}\! \left(x \right) F_{49}\! \left(x \right)
F_{197}\! \left(x \right) = F_{198}\! \left(x \right)
F_{198}\! \left(x \right) = -F_{208}\! \left(x \right)+F_{199}\! \left(x \right)
F_{199}\! \left(x \right) = -F_{202}\! \left(x \right)+F_{200}\! \left(x \right)
F_{200}\! \left(x \right) = \frac{F_{201}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{201}\! \left(x \right) = F_{179}\! \left(x \right)
F_{202}\! \left(x \right) = F_{203}\! \left(x \right) F_{21}\! \left(x \right)
F_{203}\! \left(x \right) = F_{204}\! \left(x \right)+F_{205}\! \left(x \right)
F_{204}\! \left(x \right) = F_{4}\! \left(x \right) F_{40}\! \left(x \right)
F_{205}\! \left(x \right) = F_{206}\! \left(x \right)
F_{206}\! \left(x \right) = F_{207}\! \left(x \right) F_{4}\! \left(x \right) F_{40}\! \left(x \right)
F_{207}\! \left(x \right) = F_{2}\! \left(x \right)+F_{31}\! \left(x \right)
F_{208}\! \left(x \right) = F_{209}\! \left(x \right) F_{21}\! \left(x \right)
F_{209}\! \left(x \right) = -F_{203}\! \left(x \right)+F_{210}\! \left(x \right)
F_{210}\! \left(x \right) = \frac{F_{211}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{211}\! \left(x \right) = F_{186}\! \left(x \right)
F_{212}\! \left(x \right) = F_{213}\! \left(x \right)
F_{213}\! \left(x \right) = -F_{185}\! \left(x \right)+F_{168}\! \left(x \right)
F_{214}\! \left(x \right) = F_{215}\! \left(x \right)+F_{237}\! \left(x \right)
F_{215}\! \left(x \right) = F_{216}\! \left(x \right) F_{50}\! \left(x \right)
F_{216}\! \left(x \right) = F_{159}\! \left(x \right)+F_{217}\! \left(x \right)
F_{217}\! \left(x \right) = \frac{F_{218}\! \left(x \right)}{F_{50}\! \left(x \right)}
F_{218}\! \left(x \right) = -F_{221}\! \left(x \right)+F_{219}\! \left(x \right)
F_{219}\! \left(x \right) = \frac{F_{220}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{220}\! \left(x \right) = F_{80}\! \left(x \right)
F_{221}\! \left(x \right) = F_{222}\! \left(x \right) F_{234}\! \left(x \right)
F_{222}\! \left(x \right) = \frac{F_{223}\! \left(x \right)}{F_{4}\! \left(x \right) F_{40}\! \left(x \right)}
F_{223}\! \left(x \right) = F_{224}\! \left(x \right)
F_{224}\! \left(x \right) = -F_{231}\! \left(x \right)+F_{225}\! \left(x \right)
F_{225}\! \left(x \right) = F_{226}\! \left(x \right)+F_{227}\! \left(x \right)
F_{226}\! \left(x \right) = F_{205}\! \left(x \right) F_{50}\! \left(x \right)
F_{227}\! \left(x \right) = -F_{230}\! \left(x \right)+F_{228}\! \left(x \right)
F_{228}\! \left(x \right) = F_{229}\! \left(x \right)
F_{229}\! \left(x \right) = F_{25}\! \left(x \right) F_{4}\! \left(x \right) F_{40}\! \left(x \right)
F_{230}\! \left(x \right) = F_{203}\! \left(x \right) F_{50}\! \left(x \right)
F_{231}\! \left(x \right) = -F_{232}\! \left(x \right)+F_{228}\! \left(x \right)
F_{232}\! \left(x \right) = F_{233}\! \left(x \right)
F_{233}\! \left(x \right) = F_{156}\! \left(x \right) F_{4}\! \left(x \right) F_{40}\! \left(x \right)
F_{234}\! \left(x \right) = F_{235}\! \left(x \right)+F_{236}\! \left(x \right)
F_{235}\! \left(x \right) = F_{1}\! \left(x \right)+F_{4}\! \left(x \right)
F_{236}\! \left(x \right) = F_{160}\! \left(x \right)+F_{51}\! \left(x \right)
F_{237}\! \left(x \right) = F_{238}\! \left(x \right)
F_{238}\! \left(x \right) = F_{239}\! \left(x \right) F_{4}\! \left(x \right) F_{525}\! \left(x \right)
F_{239}\! \left(x \right) = \frac{F_{240}\! \left(x \right)}{F_{325}\! \left(x \right) F_{4}\! \left(x \right)}
F_{240}\! \left(x \right) = F_{241}\! \left(x \right)
F_{241}\! \left(x \right) = -F_{216}\! \left(x \right)+F_{242}\! \left(x \right)
F_{242}\! \left(x \right) = \frac{F_{243}\! \left(x \right)}{F_{40}\! \left(x \right)}
F_{243}\! \left(x \right) = -F_{521}\! \left(x \right)+F_{244}\! \left(x \right)
F_{244}\! \left(x \right) = F_{245}\! \left(x \right)+F_{520}\! \left(x \right)
F_{245}\! \left(x \right) = F_{246}\! \left(x \right) F_{40}\! \left(x \right)
F_{246}\! \left(x \right) = \frac{F_{247}\! \left(x \right)}{F_{40}\! \left(x \right) F_{50}\! \left(x \right)}
F_{247}\! \left(x \right) = F_{248}\! \left(x \right)
F_{248}\! \left(x \right) = -F_{515}\! \left(x \right)+F_{249}\! \left(x \right)
F_{249}\! \left(x \right) = \frac{F_{250}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{250}\! \left(x \right) = F_{251}\! \left(x \right)
F_{251}\! \left(x \right) = F_{252}\! \left(x \right) F_{4}\! \left(x \right)
F_{252}\! \left(x \right) = F_{253}\! \left(x \right)+F_{513}\! \left(x \right)
F_{253}\! \left(x \right) = F_{254}\! \left(x \right)+F_{352}\! \left(x \right)
F_{254}\! \left(x \right) = F_{255}\! \left(x \right) F_{325}\! \left(x \right)
F_{255}\! \left(x \right) = F_{256}\! \left(x \right)+F_{271}\! \left(x \right)
F_{256}\! \left(x \right) = F_{234}\! \left(x \right)+F_{257}\! \left(x \right)
F_{257}\! \left(x \right) = F_{258}\! \left(x \right)
F_{258}\! \left(x \right) = F_{108}\! \left(x \right)+F_{259}\! \left(x \right)
F_{259}\! \left(x \right) = F_{260}\! \left(x \right)+F_{270}\! \left(x \right)+F_{55}\! \left(x \right)
F_{260}\! \left(x \right) = F_{261}\! \left(x \right) F_{4}\! \left(x \right)
F_{261}\! \left(x \right) = F_{159}\! \left(x \right)+F_{262}\! \left(x \right)
F_{262}\! \left(x \right) = F_{263}\! \left(x \right)+F_{266}\! \left(x \right)
F_{263}\! \left(x \right) = F_{264}\! \left(x \right)+F_{265}\! \left(x \right)+F_{55}\! \left(x \right)
F_{264}\! \left(x \right) = x^{2}
F_{265}\! \left(x \right) = x^{2}
F_{266}\! \left(x \right) = F_{267}\! \left(x \right)+F_{268}\! \left(x \right)+F_{269}\! \left(x \right)+F_{55}\! \left(x \right)
F_{267}\! \left(x \right) = F_{160}\! \left(x \right) F_{4}\! \left(x \right)
F_{268}\! \left(x \right) = F_{262}\! \left(x \right) F_{4}\! \left(x \right)
F_{269}\! \left(x \right) = F_{112}\! \left(x \right) F_{4}\! \left(x \right)
F_{270}\! \left(x \right) = F_{108}\! \left(x \right) F_{4}\! \left(x \right)
F_{271}\! \left(x \right) = F_{272}\! \left(x \right)+F_{286}\! \left(x \right)
F_{272}\! \left(x \right) = F_{273}\! \left(x \right)+F_{278}\! \left(x \right)
F_{273}\! \left(x \right) = F_{274}\! \left(x \right)+F_{41}\! \left(x \right)
F_{274}\! \left(x \right) = F_{275}\! \left(x \right)+F_{277}\! \left(x \right)+F_{55}\! \left(x \right)
F_{275}\! \left(x \right) = F_{276}\! \left(x \right) F_{4}\! \left(x \right)
F_{276}\! \left(x \right) = F_{274}\! \left(x \right)+F_{4}\! \left(x \right)
F_{277}\! \left(x \right) = F_{4}\! \left(x \right) F_{41}\! \left(x \right)
F_{278}\! \left(x \right) = F_{279}\! \left(x \right)+F_{282}\! \left(x \right)
F_{279}\! \left(x \right) = F_{280}\! \left(x \right)
F_{280}\! \left(x \right) = F_{281}\! \left(x \right) F_{4}\! \left(x \right)
F_{281}\! \left(x \right) = F_{279}\! \left(x \right)+F_{41}\! \left(x \right)
F_{282}\! \left(x \right) = 2 F_{55}\! \left(x \right)+F_{283}\! \left(x \right)+F_{285}\! \left(x \right)
F_{283}\! \left(x \right) = F_{284}\! \left(x \right) F_{4}\! \left(x \right)
F_{284}\! \left(x \right) = F_{274}\! \left(x \right)+F_{282}\! \left(x \right)
F_{285}\! \left(x \right) = F_{279}\! \left(x \right) F_{4}\! \left(x \right)
F_{286}\! \left(x \right) = F_{287}\! \left(x \right)
F_{287}\! \left(x \right) = F_{288}\! \left(x \right)+F_{299}\! \left(x \right)
F_{288}\! \left(x \right) = F_{289}\! \left(x \right)+F_{55}\! \left(x \right)+F_{56}\! \left(x \right)
F_{289}\! \left(x \right) = F_{290}\! \left(x \right) F_{4}\! \left(x \right)
F_{290}\! \left(x \right) = F_{291}\! \left(x \right)+F_{53}\! \left(x \right)
F_{291}\! \left(x \right) = F_{274}\! \left(x \right)+F_{292}\! \left(x \right)
F_{292}\! \left(x \right) = F_{293}\! \left(x \right)+F_{297}\! \left(x \right)+F_{298}\! \left(x \right)+F_{55}\! \left(x \right)
F_{293}\! \left(x \right) = F_{294}\! \left(x \right) F_{4}\! \left(x \right)
F_{294}\! \left(x \right) = F_{295}\! \left(x \right)+F_{296}\! \left(x \right)
F_{295}\! \left(x \right) = F_{113}\! \left(x \right)
F_{296}\! \left(x \right) = 2 F_{55}\! \left(x \right)+F_{293}\! \left(x \right)+F_{297}\! \left(x \right)
F_{297}\! \left(x \right) = F_{4}\! \left(x \right) F_{54}\! \left(x \right)
F_{298}\! \left(x \right) = F_{291}\! \left(x \right) F_{4}\! \left(x \right)
F_{299}\! \left(x \right) = F_{300}\! \left(x \right)+F_{306}\! \left(x \right)+F_{324}\! \left(x \right)+F_{55}\! \left(x \right)
F_{300}\! \left(x \right) = F_{301}\! \left(x \right) F_{4}\! \left(x \right)
F_{301}\! \left(x \right) = F_{160}\! \left(x \right)+F_{302}\! \left(x \right)
F_{302}\! \left(x \right) = F_{300}\! \left(x \right)+F_{303}\! \left(x \right)+F_{305}\! \left(x \right)+F_{55}\! \left(x \right)
F_{303}\! \left(x \right) = F_{304}\! \left(x \right) F_{4}\! \left(x \right)
F_{304}\! \left(x \right) = F_{274}\! \left(x \right)+F_{302}\! \left(x \right)
F_{305}\! \left(x \right) = F_{4}\! \left(x \right) F_{54}\! \left(x \right)
F_{306}\! \left(x \right) = F_{307}\! \left(x \right) F_{4}\! \left(x \right)
F_{307}\! \left(x \right) = F_{304}\! \left(x \right)+F_{308}\! \left(x \right)
F_{308}\! \left(x \right) = F_{309}\! \left(x \right)+F_{314}\! \left(x \right)
F_{309}\! \left(x \right) = F_{310}\! \left(x \right)+F_{312}\! \left(x \right)+F_{313}\! \left(x \right)+F_{55}\! \left(x \right)
F_{310}\! \left(x \right) = F_{311}\! \left(x \right) F_{4}\! \left(x \right)
F_{311}\! \left(x \right) = F_{263}\! \left(x \right)+F_{309}\! \left(x \right)
F_{312}\! \left(x \right) = F_{274}\! \left(x \right) F_{4}\! \left(x \right)
F_{313}\! \left(x \right) = F_{274}\! \left(x \right) F_{4}\! \left(x \right)
F_{314}\! \left(x \right) = F_{315}\! \left(x \right)+F_{320}\! \left(x \right)+F_{322}\! \left(x \right)+F_{323}\! \left(x \right)+F_{55}\! \left(x \right)
F_{315}\! \left(x \right) = F_{316}\! \left(x \right) F_{4}\! \left(x \right)
F_{316}\! \left(x \right) = F_{317}\! \left(x \right)+F_{319}\! \left(x \right)
F_{317}\! \left(x \right) = 2 F_{55}\! \left(x \right)+F_{267}\! \left(x \right)+F_{318}\! \left(x \right)
F_{318}\! \left(x \right) = F_{295}\! \left(x \right) F_{4}\! \left(x \right)
F_{319}\! \left(x \right) = 2 F_{55}\! \left(x \right)+F_{315}\! \left(x \right)+F_{320}\! \left(x \right)+F_{321}\! \left(x \right)
F_{320}\! \left(x \right) = F_{302}\! \left(x \right) F_{4}\! \left(x \right)
F_{321}\! \left(x \right) = F_{296}\! \left(x \right) F_{4}\! \left(x \right)
F_{322}\! \left(x \right) = F_{308}\! \left(x \right) F_{4}\! \left(x \right)
F_{323}\! \left(x \right) = F_{292}\! \left(x \right) F_{4}\! \left(x \right)
F_{324}\! \left(x \right) = F_{288}\! \left(x \right) F_{4}\! \left(x \right)
F_{325}\! \left(x \right) = F_{11}\! \left(x \right)+F_{326}\! \left(x \right)
F_{326}\! \left(x \right) = \frac{F_{327}\! \left(x \right)}{F_{64}\! \left(x \right)}
F_{327}\! \left(x \right) = -F_{349}\! \left(x \right)+F_{328}\! \left(x \right)
F_{328}\! \left(x \right) = F_{329}\! \left(x \right)
F_{329}\! \left(x \right) = F_{330}\! \left(x \right) F_{4}\! \left(x \right)
F_{330}\! \left(x \right) = \frac{F_{331}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{331}\! \left(x \right) = F_{332}\! \left(x \right)
F_{332}\! \left(x \right) = F_{333}\! \left(x \right)+F_{338}\! \left(x \right)
F_{333}\! \left(x \right) = F_{334}\! \left(x \right)+F_{336}\! \left(x \right)
F_{334}\! \left(x \right) = F_{335}\! \left(x \right) F_{41}\! \left(x \right)
F_{335}\! \left(x \right) = F_{1}\! \left(x \right)+F_{108}\! \left(x \right)
F_{336}\! \left(x \right) = F_{337}\! \left(x \right) F_{50}\! \left(x \right)
F_{337}\! \left(x \right) = x^{5} F_{337} \left(x \right)^{2}-5 x^{4} F_{337} \left(x \right)^{2}-x^{4} F_{337}\! \left(x \right)+9 x^{3} F_{337} \left(x \right)^{2}+6 x^{3} F_{337}\! \left(x \right)-7 x^{2} F_{337} \left(x \right)^{2}-x^{3}-10 x^{2} F_{337}\! \left(x \right)+2 x F_{337} \left(x \right)^{2}+x^{2}+6 F_{337}\! \left(x \right) x
F_{338}\! \left(x \right) = F_{339}\! \left(x \right)
F_{339}\! \left(x \right) = F_{340}\! \left(x \right) F_{4}\! \left(x \right)
F_{340}\! \left(x \right) = F_{341}\! \left(x \right)+F_{348}\! \left(x \right)
F_{341}\! \left(x \right) = F_{342}\! \left(x \right)+F_{347}\! \left(x \right)
F_{342}\! \left(x \right) = F_{343}\! \left(x \right) F_{41}\! \left(x \right)
F_{343}\! \left(x \right) = F_{234}\! \left(x \right)+F_{344}\! \left(x \right)
F_{344}\! \left(x \right) = F_{345}\! \left(x \right)+F_{346}\! \left(x \right)
F_{345}\! \left(x \right) = F_{263}\! \left(x \right)+F_{4}\! \left(x \right)
F_{346}\! \left(x \right) = F_{112}\! \left(x \right)+F_{266}\! \left(x \right)
F_{347}\! \left(x \right) = F_{234}\! \left(x \right) F_{337}\! \left(x \right)
F_{348}\! \left(x \right) = F_{234}\! \left(x \right) F_{4}\! \left(x \right) F_{41}\! \left(x \right)
F_{349}\! \left(x \right) = F_{350}\! \left(x \right)+F_{351}\! \left(x \right)
F_{350}\! \left(x \right) = F_{104}\! \left(x \right) F_{40}\! \left(x \right)
F_{351}\! \left(x \right) = F_{337}\! \left(x \right) F_{64}\! \left(x \right)
F_{352}\! \left(x \right) = F_{353}\! \left(x \right)
F_{353}\! \left(x \right) = F_{354}\! \left(x \right) F_{485}\! \left(x \right)
F_{354}\! \left(x \right) = \frac{F_{355}\! \left(x \right)}{F_{363}\! \left(x \right)}
F_{355}\! \left(x \right) = F_{356}\! \left(x \right)
F_{356}\! \left(x \right) = -F_{357}\! \left(x \right)+F_{252}\! \left(x \right)
F_{357}\! \left(x \right) = F_{325}\! \left(x \right) F_{358}\! \left(x \right)
F_{358}\! \left(x \right) = F_{359}\! \left(x \right)+F_{361}\! \left(x \right)
F_{359}\! \left(x \right) = F_{159}\! \left(x \right)+F_{360}\! \left(x \right)
F_{360}\! \left(x \right) = F_{259}\! \left(x \right)
F_{361}\! \left(x \right) = F_{284}\! \left(x \right)+F_{362}\! \left(x \right)
F_{362}\! \left(x \right) = F_{299}\! \left(x \right)
F_{363}\! \left(x \right) = F_{364}\! \left(x \right)+F_{484}\! \left(x \right)
F_{364}\! \left(x \right) = -F_{511}\! \left(x \right)+F_{365}\! \left(x \right)
F_{365}\! \left(x \right) = F_{366}\! \left(x \right)+F_{434}\! \left(x \right)
F_{366}\! \left(x \right) = F_{325}\! \left(x \right)+F_{367}\! \left(x \right)
F_{367}\! \left(x \right) = F_{368}\! \left(x \right)+F_{369}\! \left(x \right)
F_{368}\! \left(x \right) = F_{11}\! \left(x \right) F_{2}\! \left(x \right)
F_{369}\! \left(x \right) = F_{370}\! \left(x \right)
F_{370}\! \left(x \right) = F_{19}\! \left(x \right) F_{371}\! \left(x \right) F_{4}\! \left(x \right)
F_{371}\! \left(x \right) = F_{326}\! \left(x \right)+F_{372}\! \left(x \right)
F_{372}\! \left(x \right) = F_{373}\! \left(x \right)
F_{373}\! \left(x \right) = F_{374}\! \left(x \right) F_{4}\! \left(x \right)
F_{374}\! \left(x \right) = \frac{F_{375}\! \left(x \right)}{F_{19}\! \left(x \right) F_{4}\! \left(x \right)}
F_{375}\! \left(x \right) = F_{376}\! \left(x \right)
F_{376}\! \left(x \right) = F_{377}\! \left(x \right)+F_{508}\! \left(x \right)
F_{377}\! \left(x \right) = -F_{380}\! \left(x \right)+F_{378}\! \left(x \right)
F_{378}\! \left(x \right) = \frac{F_{379}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{379}\! \left(x \right) = F_{151}\! \left(x \right)
F_{380}\! \left(x \right) = \frac{F_{381}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{381}\! \left(x \right) = F_{382}\! \left(x \right)
F_{382}\! \left(x \right) = F_{383}\! \left(x \right)+F_{384}\! \left(x \right)
F_{383}\! \left(x \right) = F_{21}\! \left(x \right) F_{4}\! \left(x \right)
F_{384}\! \left(x \right) = F_{385}\! \left(x \right)
F_{385}\! \left(x \right) = F_{386}\! \left(x \right) F_{387}\! \left(x \right) F_{4}\! \left(x \right)
F_{386}\! \left(x \right) = F_{41}\! \left(x \right)+F_{43}\! \left(x \right)
F_{387}\! \left(x \right) = \frac{F_{388}\! \left(x \right)}{F_{4}\! \left(x \right) F_{450}\! \left(x \right)}
F_{388}\! \left(x \right) = F_{389}\! \left(x \right)
F_{389}\! \left(x \right) = -F_{507}\! \left(x \right)+F_{390}\! \left(x \right)
F_{390}\! \left(x \right) = F_{391}\! \left(x \right)+F_{397}\! \left(x \right)
F_{391}\! \left(x \right) = F_{392}\! \left(x \right)
F_{392}\! \left(x \right) = F_{393}\! \left(x \right) F_{394}\! \left(x \right)
F_{393}\! \left(x \right) = F_{335}\! \left(x \right)+F_{51}\! \left(x \right)
F_{394}\! \left(x \right) = F_{395}\! \left(x \right)
F_{395}\! \left(x \right) = F_{396}\! \left(x \right) F_{4}\! \left(x \right)
F_{396}\! \left(x \right) = F_{21}\! \left(x \right)+F_{91}\! \left(x \right)
F_{397}\! \left(x \right) = F_{398}\! \left(x \right)
F_{398}\! \left(x \right) = F_{399}\! \left(x \right) F_{4}\! \left(x \right)
F_{399}\! \left(x \right) = -F_{505}\! \left(x \right)+F_{400}\! \left(x \right)
F_{400}\! \left(x \right) = \frac{F_{401}\! \left(x \right)}{F_{19}\! \left(x \right) F_{4}\! \left(x \right)}
F_{401}\! \left(x \right) = F_{402}\! \left(x \right)
F_{402}\! \left(x \right) = F_{403}\! \left(x \right)+F_{430}\! \left(x \right)
F_{403}\! \left(x \right) = F_{404}\! \left(x \right) F_{405}\! \left(x \right)
F_{404}\! \left(x \right) = F_{20}\! \left(x \right)
F_{405}\! \left(x \right) = F_{156}\! \left(x \right)+F_{406}\! \left(x \right)
F_{406}\! \left(x \right) = F_{407}\! \left(x \right)
F_{407}\! \left(x \right) = -F_{11}\! \left(x \right)+F_{408}\! \left(x \right)
F_{408}\! \left(x \right) = F_{335}\! \left(x \right)+F_{409}\! \left(x \right)
F_{409}\! \left(x \right) = F_{410}\! \left(x \right)
F_{410}\! \left(x \right) = F_{4}\! \left(x \right) F_{411}\! \left(x \right)
F_{411}\! \left(x \right) = \frac{F_{412}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{412}\! \left(x \right) = F_{413}\! \left(x \right)
F_{413}\! \left(x \right) = -F_{335}\! \left(x \right)+F_{414}\! \left(x \right)
F_{414}\! \left(x \right) = F_{11}\! \left(x \right)+F_{415}\! \left(x \right)
F_{415}\! \left(x \right) = F_{416}\! \left(x \right)
F_{416}\! \left(x \right) = F_{4}\! \left(x \right) F_{417}\! \left(x \right)
F_{417}\! \left(x \right) = \frac{F_{418}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{418}\! \left(x \right) = F_{419}\! \left(x \right)
F_{419}\! \left(x \right) = \frac{F_{420}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{420}\! \left(x \right) = -F_{427}\! \left(x \right)+F_{421}\! \left(x \right)
F_{421}\! \left(x \right) = F_{422}\! \left(x \right)
F_{422}\! \left(x \right) = F_{4}\! \left(x \right) F_{423}\! \left(x \right)
F_{423}\! \left(x \right) = F_{424}\! \left(x \right)+F_{426}\! \left(x \right)
F_{424}\! \left(x \right) = F_{183}\! \left(x \right)+F_{425}\! \left(x \right)
F_{425}\! \left(x \right) = F_{40}\! \left(x \right) F_{51}\! \left(x \right)
F_{426}\! \left(x \right) = F_{159}\! \left(x \right) F_{40}\! \left(x \right)
F_{427}\! \left(x \right) = F_{428}\! \left(x \right)+F_{429}\! \left(x \right)
F_{428}\! \left(x \right) = F_{40}\! \left(x \right) F_{64}\! \left(x \right)
F_{429}\! \left(x \right) = F_{337}\! \left(x \right) F_{4}\! \left(x \right)
F_{430}\! \left(x \right) = F_{431}\! \left(x \right)
F_{431}\! \left(x \right) = F_{4}\! \left(x \right) F_{432}\! \left(x \right) F_{450}\! \left(x \right)
F_{432}\! \left(x \right) = F_{433}\! \left(x \right)+F_{449}\! \left(x \right)
F_{433}\! \left(x \right) = F_{434}\! \left(x \right)
F_{434}\! \left(x \right) = F_{435}\! \left(x \right)
F_{435}\! \left(x \right) = -F_{446}\! \left(x \right)+F_{436}\! \left(x \right)
F_{436}\! \left(x \right) = \frac{F_{437}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{437}\! \left(x \right) = F_{438}\! \left(x \right)
F_{438}\! \left(x \right) = F_{439}\! \left(x \right)+F_{442}\! \left(x \right)
F_{439}\! \left(x \right) = F_{21}\! \left(x \right)+F_{440}\! \left(x \right)
F_{440}\! \left(x \right) = F_{441}\! \left(x \right)
F_{441}\! \left(x \right) = F_{19}\! \left(x \right) F_{396}\! \left(x \right) F_{4}\! \left(x \right)
F_{442}\! \left(x \right) = F_{443}\! \left(x \right)
F_{443}\! \left(x \right) = F_{4}\! \left(x \right) F_{444}\! \left(x \right)
F_{444}\! \left(x \right) = F_{445}\! \left(x \right)
F_{445}\! \left(x \right) = F_{183}\! \left(x \right) F_{19}\! \left(x \right) F_{4}\! \left(x \right)
F_{446}\! \left(x \right) = F_{366}\! \left(x \right)+F_{447}\! \left(x \right)
F_{447}\! \left(x \right) = F_{448}\! \left(x \right)
F_{448}\! \left(x \right) = F_{19}\! \left(x \right) F_{325}\! \left(x \right) F_{4}\! \left(x \right)
F_{449}\! \left(x \right) = F_{367}\! \left(x \right)
F_{450}\! \left(x \right) = \frac{F_{451}\! \left(x \right)}{F_{4}\! \left(x \right) F_{483}\! \left(x \right)}
F_{451}\! \left(x \right) = F_{452}\! \left(x \right)
F_{452}\! \left(x \right) = -F_{482}\! \left(x \right)+F_{453}\! \left(x \right)
F_{453}\! \left(x \right) = F_{454}\! \left(x \right)+F_{457}\! \left(x \right)
F_{454}\! \left(x \right) = F_{455}\! \left(x \right)
F_{455}\! \left(x \right) = F_{393}\! \left(x \right) F_{456}\! \left(x \right)
F_{456}\! \left(x \right) = F_{21}\! \left(x \right)+F_{394}\! \left(x \right)
F_{457}\! \left(x \right) = F_{397}\! \left(x \right)+F_{458}\! \left(x \right)
F_{458}\! \left(x \right) = -F_{480}\! \left(x \right)+F_{459}\! \left(x \right)
F_{459}\! \left(x \right) = \frac{F_{460}\! \left(x \right)}{F_{50}\! \left(x \right)}
F_{460}\! \left(x \right) = -F_{473}\! \left(x \right)+F_{461}\! \left(x \right)
F_{461}\! \left(x \right) = \frac{F_{462}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{462}\! \left(x \right) = F_{463}\! \left(x \right)
F_{463}\! \left(x \right) = -F_{333}\! \left(x \right)+F_{464}\! \left(x \right)
F_{464}\! \left(x \right) = F_{409}\! \left(x \right)+F_{465}\! \left(x \right)
F_{465}\! \left(x \right) = F_{466}\! \left(x \right)
F_{466}\! \left(x \right) = F_{4}\! \left(x \right) F_{467}\! \left(x \right)
F_{467}\! \left(x \right) = F_{468}\! \left(x \right)+F_{472}\! \left(x \right)
F_{468}\! \left(x \right) = F_{469}\! \left(x \right) F_{50}\! \left(x \right)
F_{469}\! \left(x \right) = -F_{470}\! \left(x \right)+F_{405}\! \left(x \right)
F_{470}\! \left(x \right) = F_{471}\! \left(x \right)+F_{50}\! \left(x \right)
F_{471}\! \left(x \right) = F_{108}\! \left(x \right)
F_{472}\! \left(x \right) = F_{111}\! \left(x \right) F_{53}\! \left(x \right)
F_{473}\! \left(x \right) = F_{474}\! \left(x \right)
F_{474}\! \left(x \right) = F_{472}\! \left(x \right)+F_{475}\! \left(x \right)
F_{475}\! \left(x \right) = F_{476}\! \left(x \right) F_{49}\! \left(x \right)
F_{476}\! \left(x \right) = F_{477}\! \left(x \right)
F_{477}\! \left(x \right) = F_{4}\! \left(x \right) F_{478}\! \left(x \right) F_{50}\! \left(x \right)
F_{478}\! \left(x \right) = F_{337}\! \left(x \right)+F_{479}\! \left(x \right)
F_{479}\! \left(x \right) = F_{41}\! \left(x \right) F_{50}\! \left(x \right)
F_{480}\! \left(x \right) = F_{481}\! \left(x \right)
F_{481}\! \left(x \right) = F_{21}\! \left(x \right) F_{393}\! \left(x \right)
F_{482}\! \left(x \right) = F_{235}\! \left(x \right) F_{469}\! \left(x \right)
F_{483}\! \left(x \right) = F_{364}\! \left(x \right)+F_{484}\! \left(x \right)
F_{484}\! \left(x \right) = -F_{485}\! \left(x \right)+F_{387}\! \left(x \right)
F_{485}\! \left(x \right) = -F_{490}\! \left(x \right)+F_{486}\! \left(x \right)
F_{486}\! \left(x \right) = F_{487}\! \left(x \right)+F_{488}\! \left(x \right)
F_{487}\! \left(x \right) = F_{156}\! \left(x \right) F_{4}\! \left(x \right)
F_{488}\! \left(x \right) = F_{489}\! \left(x \right)
F_{489}\! \left(x \right) = F_{165}\! \left(x \right) F_{387}\! \left(x \right) F_{4}\! \left(x \right)
F_{490}\! \left(x \right) = F_{491}\! \left(x \right)
F_{491}\! \left(x \right) = -F_{496}\! \left(x \right)+F_{492}\! \left(x \right)
F_{492}\! \left(x \right) = F_{397}\! \left(x \right)+F_{493}\! \left(x \right)
F_{493}\! \left(x \right) = F_{494}\! \left(x \right)
F_{494}\! \left(x \right) = F_{393}\! \left(x \right) F_{495}\! \left(x \right)
F_{495}\! \left(x \right) = F_{394}\! \left(x \right)+F_{4}\! \left(x \right)
F_{496}\! \left(x \right) = -F_{497}\! \left(x \right)+F_{380}\! \left(x \right)
F_{497}\! \left(x \right) = -F_{500}\! \left(x \right)+F_{498}\! \left(x \right)
F_{498}\! \left(x \right) = \frac{F_{499}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{499}\! \left(x \right) = F_{384}\! \left(x \right)
F_{500}\! \left(x \right) = -F_{501}\! \left(x \right)+F_{389}\! \left(x \right)
F_{501}\! \left(x \right) = F_{502}\! \left(x \right)
F_{502}\! \left(x \right) = -F_{503}\! \left(x \right)+F_{488}\! \left(x \right)
F_{503}\! \left(x \right) = -F_{383}\! \left(x \right)+F_{504}\! \left(x \right)
F_{504}\! \left(x \right) = F_{382}\! \left(x \right)+F_{394}\! \left(x \right)
F_{505}\! \left(x \right) = F_{506}\! \left(x \right)
F_{506}\! \left(x \right) = F_{393}\! \left(x \right) F_{90}\! \left(x \right)
F_{507}\! \left(x \right) = F_{4}\! \left(x \right) F_{469}\! \left(x \right)
F_{508}\! \left(x \right) = F_{509}\! \left(x \right)
F_{509}\! \left(x \right) = F_{374}\! \left(x \right) F_{4}\! \left(x \right) F_{510}\! \left(x \right)
F_{510}\! \left(x \right) = F_{18}\! \left(x \right)+F_{2}\! \left(x \right)
F_{511}\! \left(x \right) = -F_{485}\! \left(x \right)+F_{512}\! \left(x \right)
F_{512}\! \left(x \right) = F_{367}\! \left(x \right)+F_{434}\! \left(x \right)
F_{513}\! \left(x \right) = F_{514}\! \left(x \right)
F_{514}\! \left(x \right) = F_{354}\! \left(x \right) F_{484}\! \left(x \right)
F_{515}\! \left(x \right) = F_{516}\! \left(x \right) F_{517}\! \left(x \right)
F_{516}\! \left(x \right) = F_{159}\! \left(x \right)+F_{284}\! \left(x \right)
F_{517}\! \left(x \right) = F_{156}\! \left(x \right)+F_{518}\! \left(x \right)
F_{518}\! \left(x \right) = F_{519}\! \left(x \right)
F_{519}\! \left(x \right) = F_{165}\! \left(x \right) F_{325}\! \left(x \right) F_{4}\! \left(x \right)
F_{520}\! \left(x \right) = F_{276}\! \left(x \right) F_{517}\! \left(x \right)
F_{521}\! \left(x \right) = F_{522}\! \left(x \right)+F_{524}\! \left(x \right)
F_{522}\! \left(x \right) = F_{517}\! \left(x \right) F_{523}\! \left(x \right)
F_{523}\! \left(x \right) = F_{235}\! \left(x \right)+F_{273}\! \left(x \right)
F_{524}\! \left(x \right) = F_{40}\! \left(x \right) F_{486}\! \left(x \right)
F_{525}\! \left(x \right) = \frac{F_{526}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{526}\! \left(x \right) = F_{407}\! \left(x \right)
F_{527}\! \left(x \right) = F_{143}\! \left(x \right)
F_{528}\! \left(x \right) = F_{529}\! \left(x \right)
F_{529}\! \left(x \right) = F_{4}\! \left(x \right) F_{49}\! \left(x \right) F_{90}\! \left(x \right)
F_{530}\! \left(x \right) = F_{531}\! \left(x \right)
F_{531}\! \left(x \right) = F_{11}\! \left(x \right) F_{49}\! \left(x \right) F_{64}\! \left(x \right)
F_{532}\! \left(x \right) = F_{533}\! \left(x \right)+F_{535}\! \left(x \right)
F_{533}\! \left(x \right) = F_{534}\! \left(x \right)
F_{534}\! \left(x \right) = F_{4}\! \left(x \right) F_{49}\! \left(x \right) F_{89}\! \left(x \right)
F_{535}\! \left(x \right) = F_{536}\! \left(x \right)
F_{536}\! \left(x \right) = F_{11}\! \left(x \right) F_{51}\! \left(x \right) F_{537}\! \left(x \right)
F_{537}\! \left(x \right) = F_{159}\! \left(x \right)+F_{304}\! \left(x \right)
F_{538}\! \left(x \right) = F_{539}\! \left(x \right)+F_{67}\! \left(x \right)
F_{539}\! \left(x \right) = F_{64}\! \left(x \right)+F_{69}\! \left(x \right)
F_{540}\! \left(x \right) = -F_{67}\! \left(x \right)+F_{141}\! \left(x \right)
F_{541}\! \left(x \right) = F_{542}\! \left(x \right)
F_{542}\! \left(x \right) = F_{4}\! \left(x \right) F_{543}\! \left(x \right)
F_{543}\! \left(x \right) = F_{544}\! \left(x \right)+F_{643}\! \left(x \right)
F_{544}\! \left(x \right) = F_{545}\! \left(x \right)
F_{545}\! \left(x \right) = F_{4}\! \left(x \right) F_{546}\! \left(x \right)
F_{546}\! \left(x \right) = F_{547}\! \left(x \right)+F_{628}\! \left(x \right)
F_{547}\! \left(x \right) = F_{165}\! \left(x \right) F_{548}\! \left(x \right)
F_{548}\! \left(x \right) = \frac{F_{549}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{549}\! \left(x \right) = F_{550}\! \left(x \right)
F_{550}\! \left(x \right) = F_{551}\! \left(x \right)+F_{618}\! \left(x \right)
F_{551}\! \left(x \right) = F_{552}\! \left(x \right)+F_{64}\! \left(x \right)
F_{552}\! \left(x \right) = F_{553}\! \left(x \right)
F_{553}\! \left(x \right) = F_{4}\! \left(x \right) F_{554}\! \left(x \right)
F_{554}\! \left(x \right) = F_{550}\! \left(x \right)+F_{555}\! \left(x \right)
F_{555}\! \left(x \right) = -F_{556}\! \left(x \right)+F_{8}\! \left(x \right)
F_{556}\! \left(x \right) = -F_{559}\! \left(x \right)+F_{557}\! \left(x \right)
F_{557}\! \left(x \right) = \frac{F_{558}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{558}\! \left(x \right) = F_{6}\! \left(x \right)
F_{559}\! \left(x \right) = F_{560}\! \left(x \right)+F_{613}\! \left(x \right)
F_{560}\! \left(x \right) = -F_{10}\! \left(x \right)+F_{561}\! \left(x \right)
F_{561}\! \left(x \right) = -F_{564}\! \left(x \right)+F_{562}\! \left(x \right)
F_{562}\! \left(x \right) = \frac{F_{563}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{563}\! \left(x \right) = F_{31}\! \left(x \right)
F_{564}\! \left(x \right) = F_{565}\! \left(x \right)
F_{565}\! \left(x \right) = F_{4}\! \left(x \right) F_{566}\! \left(x \right)
F_{566}\! \left(x \right) = F_{567}\! \left(x \right)+F_{609}\! \left(x \right)
F_{567}\! \left(x \right) = F_{568}\! \left(x \right)+F_{574}\! \left(x \right)
F_{568}\! \left(x \right) = F_{414}\! \left(x \right) F_{569}\! \left(x \right)
F_{569}\! \left(x \right) = F_{10}\! \left(x \right)+F_{570}\! \left(x \right)
F_{570}\! \left(x \right) = F_{571}\! \left(x \right)
F_{571}\! \left(x \right) = -F_{556}\! \left(x \right)+F_{572}\! \left(x \right)
F_{572}\! \left(x \right) = \frac{F_{573}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{573}\! \left(x \right) = F_{551}\! \left(x \right)
F_{574}\! \left(x \right) = F_{575}\! \left(x \right)+F_{606}\! \left(x \right)
F_{575}\! \left(x \right) = F_{576}\! \left(x \right)
F_{576}\! \left(x \right) = -F_{586}\! \left(x \right)+F_{577}\! \left(x \right)
F_{577}\! \left(x \right) = \frac{F_{578}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{578}\! \left(x \right) = F_{579}\! \left(x \right)
F_{579}\! \left(x \right) = -F_{12}\! \left(x \right)+F_{580}\! \left(x \right)
F_{580}\! \left(x \right) = F_{581}\! \left(x \right)
F_{581}\! \left(x \right) = F_{4}\! \left(x \right) F_{582}\! \left(x \right)
F_{582}\! \left(x \right) = F_{583}\! \left(x \right)+F_{584}\! \left(x \right)
F_{583}\! \left(x \right) = F_{26}\! \left(x \right) F_{39}\! \left(x \right)
F_{584}\! \left(x \right) = F_{585}\! \left(x \right)
F_{585}\! \left(x \right) = F_{39}\! \left(x \right) F_{4}\! \left(x \right) F_{582}\! \left(x \right)
F_{586}\! \left(x \right) = F_{587}\! \left(x \right)+F_{588}\! \left(x \right)
F_{587}\! \left(x \right) = F_{12}\! \left(x \right) F_{414}\! \left(x \right)
F_{588}\! \left(x \right) = F_{589}\! \left(x \right)
F_{589}\! \left(x \right) = F_{4}\! \left(x \right) F_{580}\! \left(x \right) F_{590}\! \left(x \right)
F_{590}\! \left(x \right) = \frac{F_{591}\! \left(x \right)}{F_{4}\! \left(x \right) F_{592}\! \left(x \right)}
F_{591}\! \left(x \right) = F_{574}\! \left(x \right)
F_{592}\! \left(x \right) = F_{593}\! \left(x \right)+F_{596}\! \left(x \right)
F_{593}\! \left(x \right) = F_{26}\! \left(x \right)+F_{594}\! \left(x \right)
F_{594}\! \left(x \right) = F_{595}\! \left(x \right)
F_{595}\! \left(x \right) = F_{25}\! \left(x \right) F_{4}\! \left(x \right) F_{40}\! \left(x \right)
F_{596}\! \left(x \right) = F_{597}\! \left(x \right)
F_{597}\! \left(x \right) = -F_{601}\! \left(x \right)+F_{598}\! \left(x \right)
F_{598}\! \left(x \right) = \frac{F_{599}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{599}\! \left(x \right) = F_{600}\! \left(x \right)
F_{600}\! \left(x \right) = -F_{22}\! \left(x \right)+F_{555}\! \left(x \right)
F_{601}\! \left(x \right) = F_{602}\! \left(x \right)+F_{604}\! \left(x \right)
F_{602}\! \left(x \right) = F_{603}\! \left(x \right)
F_{603}\! \left(x \right) = F_{4}\! \left(x \right) F_{40}\! \left(x \right) F_{548}\! \left(x \right)
F_{604}\! \left(x \right) = F_{605}\! \left(x \right)
F_{605}\! \left(x \right) = F_{40}\! \left(x \right) F_{600}\! \left(x \right)
F_{606}\! \left(x \right) = F_{607}\! \left(x \right)
F_{607}\! \left(x \right) = F_{4}\! \left(x \right) F_{590}\! \left(x \right) F_{608}\! \left(x \right)
F_{608}\! \left(x \right) = F_{594}\! \left(x \right)+F_{596}\! \left(x \right)
F_{609}\! \left(x \right) = F_{610}\! \left(x \right)
F_{610}\! \left(x \right) = F_{611}\! \left(x \right)
F_{611}\! \left(x \right) = F_{4}\! \left(x \right) F_{590}\! \left(x \right) F_{612}\! \left(x \right)
F_{612}\! \left(x \right) = F_{564}\! \left(x \right)+F_{569}\! \left(x \right)
F_{613}\! \left(x \right) = F_{614}\! \left(x \right)
F_{614}\! \left(x \right) = F_{4}\! \left(x \right) F_{615}\! \left(x \right)
F_{615}\! \left(x \right) = F_{601}\! \left(x \right)+F_{616}\! \left(x \right)
F_{616}\! \left(x \right) = F_{617}\! \left(x \right)
F_{617}\! \left(x \right) = F_{24}\! \left(x \right) F_{4}\! \left(x \right) F_{40}\! \left(x \right)
F_{618}\! \left(x \right) = -F_{6}\! \left(x \right)+F_{619}\! \left(x \right)
F_{619}\! \left(x \right) = -F_{622}\! \left(x \right)+F_{620}\! \left(x \right)
F_{620}\! \left(x \right) = \frac{F_{621}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{621}\! \left(x \right) = F_{103}\! \left(x \right)
F_{622}\! \left(x \right) = -F_{625}\! \left(x \right)+F_{623}\! \left(x \right)
F_{623}\! \left(x \right) = \frac{F_{624}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{624}\! \left(x \right) = F_{127}\! \left(x \right)
F_{625}\! \left(x \right) = F_{5}\! \left(x \right)+F_{626}\! \left(x \right)
F_{626}\! \left(x \right) = -F_{627}\! \left(x \right)+F_{556}\! \left(x \right)
F_{627}\! \left(x \right) = F_{0}\! \left(x \right)+F_{551}\! \left(x \right)
F_{628}\! \left(x \right) = F_{239}\! \left(x \right) F_{629}\! \left(x \right)
F_{629}\! \left(x \right) = -F_{641}\! \left(x \right)+F_{630}\! \left(x \right)
F_{630}\! \left(x \right) = F_{525}\! \left(x \right)+F_{631}\! \left(x \right)
F_{631}\! \left(x \right) = \frac{F_{632}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{632}\! \left(x \right) = F_{633}\! \left(x \right)
F_{633}\! \left(x \right) = F_{634}\! \left(x \right)
F_{634}\! \left(x \right) = F_{4}\! \left(x \right) F_{635}\! \left(x \right)
F_{635}\! \left(x \right) = -F_{638}\! \left(x \right)+F_{636}\! \left(x \right)
F_{636}\! \left(x \right) = \frac{F_{637}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{637}\! \left(x \right) = F_{579}\! \left(x \right)
F_{638}\! \left(x \right) = F_{195}\! \left(x \right)+F_{639}\! \left(x \right)
F_{639}\! \left(x \right) = F_{640}\! \left(x \right)
F_{640}\! \left(x \right) = F_{27}\! \left(x \right) F_{4}\! \left(x \right) F_{49}\! \left(x \right)
F_{641}\! \left(x \right) = F_{642}\! \left(x \right)
F_{642}\! \left(x \right) = F_{4}\! \left(x \right) F_{49}\! \left(x \right) F_{629}\! \left(x \right)
F_{643}\! \left(x \right) = F_{644}\! \left(x \right)
F_{644}\! \left(x \right) = F_{4}\! \left(x \right) F_{645}\! \left(x \right)
F_{645}\! \left(x \right) = F_{646}\! \left(x \right)+F_{732}\! \left(x \right)
F_{646}\! \left(x \right) = F_{165}\! \left(x \right) F_{647}\! \left(x \right)
F_{647}\! \left(x \right) = F_{648}\! \left(x \right)+F_{728}\! \left(x \right)
F_{648}\! \left(x \right) = -F_{651}\! \left(x \right)+F_{649}\! \left(x \right)
F_{649}\! \left(x \right) = \frac{F_{650}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{650}\! \left(x \right) = F_{559}\! \left(x \right)
F_{651}\! \left(x \right) = F_{652}\! \left(x \right)
F_{652}\! \left(x \right) = F_{653}\! \left(x \right)+F_{726}\! \left(x \right)
F_{653}\! \left(x \right) = -F_{684}\! \left(x \right)+F_{654}\! \left(x \right)
F_{654}\! \left(x \right) = \frac{F_{655}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{655}\! \left(x \right) = F_{656}\! \left(x \right)
F_{656}\! \left(x \right) = F_{657}\! \left(x \right)
F_{657}\! \left(x \right) = F_{4}\! \left(x \right) F_{658}\! \left(x \right)
F_{658}\! \left(x \right) = F_{659}\! \left(x \right)+F_{682}\! \left(x \right)
F_{659}\! \left(x \right) = F_{660}\! \left(x \right)+F_{662}\! \left(x \right)
F_{660}\! \left(x \right) = F_{408}\! \left(x \right)+F_{661}\! \left(x \right)
F_{661}\! \left(x \right) = F_{12}\! \left(x \right)+F_{633}\! \left(x \right)
F_{662}\! \left(x \right) = \frac{F_{663}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{663}\! \left(x \right) = F_{664}\! \left(x \right)
F_{664}\! \left(x \right) = -F_{186}\! \left(x \right)+F_{665}\! \left(x \right)
F_{665}\! \left(x \right) = F_{666}\! \left(x \right)
F_{666}\! \left(x \right) = F_{4}\! \left(x \right) F_{667}\! \left(x \right)
F_{667}\! \left(x \right) = F_{668}\! \left(x \right)+F_{677}\! \left(x \right)
F_{668}\! \left(x \right) = F_{669}\! \left(x \right)+F_{675}\! \left(x \right)
F_{669}\! \left(x \right) = F_{665}\! \left(x \right)+F_{670}\! \left(x \right)
F_{670}\! \left(x \right) = F_{50}\! \left(x \right)+F_{671}\! \left(x \right)
F_{671}\! \left(x \right) = F_{672}\! \left(x \right)
F_{672}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{673}\! \left(x \right)
F_{673}\! \left(x \right) = -F_{665}\! \left(x \right)+F_{674}\! \left(x \right)
F_{674}\! \left(x \right) = F_{185}\! \left(x \right)+F_{656}\! \left(x \right)
F_{675}\! \left(x \right) = F_{676}\! \left(x \right)
F_{676}\! \left(x \right) = F_{34}\! \left(x \right) F_{4}\! \left(x \right) F_{669}\! \left(x \right)
F_{677}\! \left(x \right) = F_{678}\! \left(x \right)+F_{679}\! \left(x \right)
F_{678}\! \left(x \right) = F_{672}\! \left(x \right)
F_{679}\! \left(x \right) = F_{680}\! \left(x \right)
F_{680}\! \left(x \right) = -F_{681}\! \left(x \right)+F_{665}\! \left(x \right)
F_{681}\! \left(x \right) = F_{21}\! \left(x \right) F_{50}\! \left(x \right)
F_{682}\! \left(x \right) = F_{683}\! \left(x \right)
F_{683}\! \left(x \right) = F_{25}\! \left(x \right) F_{4}\! \left(x \right)
F_{684}\! \left(x \right) = F_{685}\! \left(x \right)+F_{724}\! \left(x \right)
F_{685}\! \left(x \right) = F_{670}\! \left(x \right)+F_{686}\! \left(x \right)
F_{686}\! \left(x \right) = -F_{671}\! \left(x \right)+F_{687}\! \left(x \right)
F_{687}\! \left(x \right) = \frac{F_{688}\! \left(x \right)}{F_{159}\! \left(x \right)}
F_{688}\! \left(x \right) = -F_{702}\! \left(x \right)+F_{689}\! \left(x \right)
F_{689}\! \left(x \right) = \frac{F_{690}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{690}\! \left(x \right) = F_{691}\! \left(x \right)
F_{691}\! \left(x \right) = -F_{701}\! \left(x \right)+F_{692}\! \left(x \right)
F_{692}\! \left(x \right) = F_{693}\! \left(x \right)+F_{694}\! \left(x \right)
F_{693}\! \left(x \right) = F_{7}\! \left(x \right)
F_{694}\! \left(x \right) = F_{695}\! \left(x \right)
F_{695}\! \left(x \right) = F_{4}\! \left(x \right) F_{696}\! \left(x \right)
F_{696}\! \left(x \right) = F_{697}\! \left(x \right)+F_{700}\! \left(x \right)
F_{697}\! \left(x \right) = F_{50}\! \left(x \right) F_{698}\! \left(x \right)
F_{698}\! \left(x \right) = F_{671}\! \left(x \right)+F_{699}\! \left(x \right)
F_{699}\! \left(x \right) = F_{552}\! \left(x \right)
F_{700}\! \left(x \right) = F_{159}\! \left(x \right) F_{671}\! \left(x \right)
F_{701}\! \left(x \right) = F_{2}\! \left(x \right) F_{67}\! \left(x \right)
F_{702}\! \left(x \right) = F_{50}\! \left(x \right) F_{703}\! \left(x \right)
F_{703}\! \left(x \right) = F_{704}\! \left(x \right)+F_{707}\! \left(x \right)
F_{704}\! \left(x \right) = F_{705}\! \left(x \right)
F_{705}\! \left(x \right) = F_{21}\! \left(x \right) F_{706}\! \left(x \right)
F_{706}\! \left(x \right) = F_{50}\! \left(x \right)+F_{64}\! \left(x \right)
F_{707}\! \left(x \right) = F_{708}\! \left(x \right)+F_{720}\! \left(x \right)
F_{708}\! \left(x \right) = \frac{F_{709}\! \left(x \right)}{F_{414}\! \left(x \right)}
F_{709}\! \left(x \right) = -F_{574}\! \left(x \right)+F_{710}\! \left(x \right)
F_{710}\! \left(x \right) = -F_{715}\! \left(x \right)+F_{711}\! \left(x \right)
F_{711}\! \left(x \right) = \frac{F_{712}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{712}\! \left(x \right) = F_{713}\! \left(x \right)
F_{713}\! \left(x \right) = -F_{714}\! \left(x \right)+F_{564}\! \left(x \right)
F_{714}\! \left(x \right) = F_{326}\! \left(x \right) F_{50}\! \left(x \right)
F_{715}\! \left(x \right) = F_{716}\! \left(x \right)
F_{716}\! \left(x \right) = -F_{717}\! \left(x \right)+F_{610}\! \left(x \right)
F_{717}\! \left(x \right) = F_{50}\! \left(x \right) F_{718}\! \left(x \right)
F_{718}\! \left(x \right) = F_{719}\! \left(x \right)
F_{719}\! \left(x \right) = F_{325}\! \left(x \right) F_{4}\! \left(x \right) F_{590}\! \left(x \right)
F_{720}\! \left(x \right) = F_{721}\! \left(x \right)
F_{721}\! \left(x \right) = F_{552}\! \left(x \right)+F_{722}\! \left(x \right)
F_{722}\! \left(x \right) = -F_{723}\! \left(x \right)+F_{618}\! \left(x \right)
F_{723}\! \left(x \right) = F_{21}\! \left(x \right) F_{64}\! \left(x \right)
F_{724}\! \left(x \right) = \frac{F_{725}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{725}\! \left(x \right) = F_{664}\! \left(x \right)
F_{726}\! \left(x \right) = F_{727}\! \left(x \right)
F_{727}\! \left(x \right) = F_{4}\! \left(x \right) F_{40}\! \left(x \right) F_{653}\! \left(x \right)
F_{728}\! \left(x \right) = F_{729}\! \left(x \right)
F_{729}\! \left(x \right) = F_{4}\! \left(x \right) F_{40}\! \left(x \right) F_{730}\! \left(x \right)
F_{730}\! \left(x \right) = \frac{F_{731}\! \left(x \right)}{F_{4}\! \left(x \right) F_{40}\! \left(x \right)}
F_{731}\! \left(x \right) = F_{652}\! \left(x \right)
F_{732}\! \left(x \right) = F_{733}\! \left(x \right)
F_{733}\! \left(x \right) = F_{239}\! \left(x \right) F_{730}\! \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_4(x)*F_5(x))
Eq(F_4(x), x)
Eq(F_5(x), F_0(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_4(x)*F_8(x))
Eq(F_8(x), F_61(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_22(x))
Eq(F_10(x), F_11(x) + F_12(x))
Eq(F_11(x), x*(x - 2)*F_11(x)**2 + (x + 2)*F_11(x) - 1)
Eq(F_12(x), F_13(x))
Eq(F_13(x), F_14(x)*F_4(x))
Eq(F_14(x), F_15(x)/F_4(x))
Eq(F_15(x), F_16(x))
Eq(F_16(x), F_17(x) + F_2(x))
Eq(F_17(x), F_18(x) - F_21(x))
Eq(F_18(x), -F_0(x) + F_19(x))
Eq(F_19(x), F_20(x)/F_4(x))
Eq(F_20(x), F_2(x))
Eq(F_21(x), x*(x - 2)*(F_21(x) + 1)**2 + (x + 1)*(F_21(x) + 1) + F_21(x) - 1)
Eq(F_22(x), F_23(x))
Eq(F_23(x), F_24(x)*F_4(x))
Eq(F_24(x), F_25(x) + F_59(x))
Eq(F_25(x), F_26(x) + F_47(x))
Eq(F_26(x), F_10(x) + F_27(x))
Eq(F_27(x), F_28(x) - F_32(x))
Eq(F_28(x), F_29(x)/F_4(x))
Eq(F_29(x), F_30(x))
Eq(F_30(x), -F_21(x) + F_31(x))
Eq(F_31(x), -F_0(x) + F_10(x))
Eq(F_32(x), F_33(x))
Eq(F_33(x), F_26(x)*F_34(x)*F_4(x))
Eq(F_34(x), F_35(x)/(F_10(x)*F_4(x)))
Eq(F_35(x), F_36(x))
Eq(F_36(x), F_37(x) + F_45(x))
Eq(F_37(x), F_38(x))
Eq(F_38(x), F_10(x)*F_39(x)*F_4(x))
Eq(F_39(x), F_40(x) + F_43(x))
Eq(F_40(x), F_1(x) + F_41(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_4(x)*F_40(x))
Eq(F_43(x), F_44(x))
Eq(F_44(x), F_34(x)*F_4(x)*F_40(x))
Eq(F_45(x), F_46(x))
Eq(F_46(x), F_34(x)*F_37(x)*F_4(x))
Eq(F_47(x), F_48(x))
Eq(F_48(x), F_26(x)*F_4(x)*F_49(x))
Eq(F_49(x), F_50(x) + F_53(x))
Eq(F_50(x), F_1(x) + F_51(x))
Eq(F_51(x), F_52(x))
Eq(F_52(x), F_4(x)*F_50(x))
Eq(F_53(x), F_41(x) + F_54(x))
Eq(F_54(x), F_55(x) + F_56(x) + F_58(x))
Eq(F_55(x), 0)
Eq(F_56(x), F_4(x)*F_57(x))
Eq(F_57(x), F_51(x) + F_54(x))
Eq(F_58(x), F_4(x)*F_53(x))
Eq(F_59(x), F_60(x))
Eq(F_60(x), F_25(x)*F_4(x)*F_49(x))
Eq(F_61(x), F_541(x) + F_62(x))
Eq(F_62(x), F_63(x) + F_80(x))
Eq(F_63(x), F_64(x) + F_69(x))
Eq(F_64(x), F_65(x))
Eq(F_65(x), F_4(x)*F_66(x))
Eq(F_66(x), F_67(x) + F_68(x))
Eq(F_67(x), F_1(x) + F_64(x))
Eq(F_68(x), F_51(x))
Eq(F_69(x), F_55(x) + F_70(x) + F_74(x))
Eq(F_70(x), F_4(x)*F_71(x))
Eq(F_71(x), F_63(x) + F_72(x))
Eq(F_72(x), F_73(x) + F_77(x))
Eq(F_73(x), F_74(x))
Eq(F_74(x), F_4(x)*F_75(x))
Eq(F_75(x), F_76(x))
Eq(F_76(x), F_4(x) + F_73(x))
Eq(F_77(x), F_78(x))
Eq(F_78(x), F_4(x)*F_79(x))
Eq(F_79(x), F_72(x))
Eq(F_80(x), -F_540(x) + F_81(x))
Eq(F_81(x), -F_538(x) + F_82(x))
Eq(F_82(x), F_83(x) + F_84(x))
Eq(F_83(x), F_11(x)*F_67(x))
Eq(F_84(x), F_85(x))
Eq(F_85(x), F_4(x)*F_86(x))
Eq(F_86(x), F_532(x) + F_87(x))
Eq(F_87(x), F_530(x) + F_88(x))
Eq(F_88(x), F_50(x)*F_89(x))
Eq(F_89(x), F_528(x) + F_90(x))
Eq(F_90(x), F_11(x) + F_91(x))
Eq(F_91(x), -F_149(x) + F_92(x))
Eq(F_92(x), F_93(x) - F_95(x))
Eq(F_93(x), F_94(x)/F_4(x))
Eq(F_94(x), F_30(x))
Eq(F_95(x), F_14(x) - F_96(x))
Eq(F_96(x), F_97(x) - F_99(x))
Eq(F_97(x), F_98(x)/F_4(x))
Eq(F_98(x), F_16(x))
Eq(F_99(x), F_100(x) + F_527(x))
Eq(F_100(x), F_101(x) - F_124(x))
Eq(F_101(x), F_102(x)/F_4(x))
Eq(F_102(x), F_103(x))
Eq(F_103(x), -F_104(x) + F_6(x))
Eq(F_104(x), F_105(x))
Eq(F_105(x), F_106(x)*F_4(x))
Eq(F_106(x), F_107(x) + F_67(x))
Eq(F_107(x), F_108(x) + F_115(x))
Eq(F_108(x), F_109(x))
Eq(F_109(x), F_110(x)*F_4(x))
Eq(F_110(x), F_111(x) + F_50(x))
Eq(F_111(x), F_112(x) + F_4(x))
Eq(F_112(x), F_113(x) + F_114(x) + F_55(x))
Eq(F_113(x), F_4(x)*F_51(x))
Eq(F_114(x), F_111(x)*F_4(x))
Eq(F_115(x), F_116(x) + F_118(x) + F_55(x))
Eq(F_116(x), F_117(x)*F_4(x))
Eq(F_117(x), F_64(x))
Eq(F_118(x), F_119(x)*F_4(x))
Eq(F_119(x), F_120(x) + F_123(x))
Eq(F_120(x), F_121(x) + F_4(x))
Eq(F_121(x), F_118(x) + F_122(x) + F_55(x))
Eq(F_122(x), F_4(x)*F_64(x))
Eq(F_123(x), F_112(x))
Eq(F_124(x), F_125(x) - F_128(x))
Eq(F_125(x), F_126(x)/F_4(x))
Eq(F_126(x), F_127(x))
Eq(F_127(x), F_103(x) + F_2(x))
Eq(F_128(x), F_129(x) + F_5(x))
Eq(F_129(x), F_130(x))
Eq(F_130(x), F_131(x)*F_4(x))
Eq(F_131(x), F_132(x)/F_4(x))
Eq(F_132(x), F_133(x))
Eq(F_133(x), F_134(x) - F_136(x))
Eq(F_134(x), F_135(x)/F_4(x))
Eq(F_135(x), F_17(x))
Eq(F_136(x), F_137(x) + F_151(x))
Eq(F_137(x), F_138(x))
Eq(F_138(x), F_139(x)*F_4(x))
Eq(F_139(x), F_140(x) + F_145(x))
Eq(F_140(x), F_141(x) + F_142(x))
Eq(F_141(x), F_11(x) + F_137(x))
Eq(F_142(x), F_143(x) + F_91(x))
Eq(F_143(x), F_144(x))
Eq(F_144(x), F_137(x)*F_4(x)*F_40(x))
Eq(F_145(x), F_146(x))
Eq(F_146(x), F_147(x) + F_149(x))
Eq(F_147(x), F_148(x))
Eq(F_148(x), F_4(x)*F_89(x))
Eq(F_149(x), F_150(x))
Eq(F_150(x), F_147(x)*F_4(x)*F_40(x))
Eq(F_151(x), F_152(x))
Eq(F_152(x), F_153(x)*F_4(x))
Eq(F_153(x), F_154(x) + F_214(x))
Eq(F_154(x), F_155(x) + F_163(x))
Eq(F_155(x), F_156(x)*F_159(x))
Eq(F_156(x), F_11(x) + F_157(x))
Eq(F_157(x), F_158(x))
Eq(F_158(x), F_11(x)*F_4(x)*F_49(x))
Eq(F_159(x), F_160(x) + F_4(x))
Eq(F_160(x), F_161(x) + F_162(x) + F_55(x))
Eq(F_161(x), F_159(x)*F_4(x))
Eq(F_162(x), F_4(x)*F_51(x))
Eq(F_163(x), F_164(x))
Eq(F_164(x), F_153(x)*F_165(x)*F_4(x))
Eq(F_165(x), F_166(x)/(F_10(x)*F_4(x)))
Eq(F_166(x), F_167(x))
Eq(F_167(x), -F_156(x) + F_168(x))
Eq(F_168(x), F_169(x) + F_170(x))
Eq(F_169(x), F_0(x)*F_50(x))
Eq(F_170(x), F_171(x))
Eq(F_171(x), F_172(x)*F_4(x)*F_50(x))
Eq(F_172(x), F_173(x) + F_195(x))
Eq(F_173(x), F_174(x) + F_212(x))
Eq(F_174(x), F_175(x)/F_21(x))
Eq(F_175(x), F_176(x) - F_197(x))
Eq(F_176(x), F_177(x) - F_194(x))
Eq(F_177(x), F_178(x)/F_4(x))
Eq(F_178(x), F_179(x))
Eq(F_179(x), F_180(x))
Eq(F_180(x), F_181(x)*F_4(x))
Eq(F_181(x), F_182(x) + F_192(x))
Eq(F_182(x), F_183(x)*F_186(x))
Eq(F_183(x), F_184(x) - F_36(x))
Eq(F_184(x), F_185(x) + F_190(x))
Eq(F_185(x), F_0(x) + F_186(x))
Eq(F_186(x), F_187(x))
Eq(F_187(x), F_188(x)*F_4(x))
Eq(F_188(x), F_184(x) + F_189(x))
Eq(F_189(x), F_38(x))
Eq(F_190(x), F_179(x) + F_191(x))
Eq(F_191(x), F_0(x)*F_21(x))
Eq(F_192(x), F_185(x)*F_193(x))
Eq(F_193(x), -F_183(x) + F_34(x))
Eq(F_194(x), F_195(x)*F_21(x))
Eq(F_195(x), F_196(x))
Eq(F_196(x), F_10(x)*F_4(x)*F_49(x))
Eq(F_197(x), F_198(x))
Eq(F_198(x), F_199(x) - F_208(x))
Eq(F_199(x), F_200(x) - F_202(x))
Eq(F_200(x), F_201(x)/F_4(x))
Eq(F_201(x), F_179(x))
Eq(F_202(x), F_203(x)*F_21(x))
Eq(F_203(x), F_204(x) + F_205(x))
Eq(F_204(x), F_4(x)*F_40(x))
Eq(F_205(x), F_206(x))
Eq(F_206(x), F_207(x)*F_4(x)*F_40(x))
Eq(F_207(x), F_2(x) + F_31(x))
Eq(F_208(x), F_209(x)*F_21(x))
Eq(F_209(x), -F_203(x) + F_210(x))
Eq(F_210(x), F_211(x)/F_4(x))
Eq(F_211(x), F_186(x))
Eq(F_212(x), F_213(x))
Eq(F_213(x), F_168(x) - F_185(x))
Eq(F_214(x), F_215(x) + F_237(x))
Eq(F_215(x), F_216(x)*F_50(x))
Eq(F_216(x), F_159(x) + F_217(x))
Eq(F_217(x), F_218(x)/F_50(x))
Eq(F_218(x), F_219(x) - F_221(x))
Eq(F_219(x), F_220(x)/F_4(x))
Eq(F_220(x), F_80(x))
Eq(F_221(x), F_222(x)*F_234(x))
Eq(F_222(x), F_223(x)/(F_4(x)*F_40(x)))
Eq(F_223(x), F_224(x))
Eq(F_224(x), F_225(x) - F_231(x))
Eq(F_225(x), F_226(x) + F_227(x))
Eq(F_226(x), F_205(x)*F_50(x))
Eq(F_227(x), F_228(x) - F_230(x))
Eq(F_228(x), F_229(x))
Eq(F_229(x), F_25(x)*F_4(x)*F_40(x))
Eq(F_230(x), F_203(x)*F_50(x))
Eq(F_231(x), F_228(x) - F_232(x))
Eq(F_232(x), F_233(x))
Eq(F_233(x), F_156(x)*F_4(x)*F_40(x))
Eq(F_234(x), F_235(x) + F_236(x))
Eq(F_235(x), F_1(x) + F_4(x))
Eq(F_236(x), F_160(x) + F_51(x))
Eq(F_237(x), F_238(x))
Eq(F_238(x), F_239(x)*F_4(x)*F_525(x))
Eq(F_239(x), F_240(x)/(F_325(x)*F_4(x)))
Eq(F_240(x), F_241(x))
Eq(F_241(x), -F_216(x) + F_242(x))
Eq(F_242(x), F_243(x)/F_40(x))
Eq(F_243(x), F_244(x) - F_521(x))
Eq(F_244(x), F_245(x) + F_520(x))
Eq(F_245(x), F_246(x)*F_40(x))
Eq(F_246(x), F_247(x)/(F_40(x)*F_50(x)))
Eq(F_247(x), F_248(x))
Eq(F_248(x), F_249(x) - F_515(x))
Eq(F_249(x), F_250(x)/F_4(x))
Eq(F_250(x), F_251(x))
Eq(F_251(x), F_252(x)*F_4(x))
Eq(F_252(x), F_253(x) + F_513(x))
Eq(F_253(x), F_254(x) + F_352(x))
Eq(F_254(x), F_255(x)*F_325(x))
Eq(F_255(x), F_256(x) + F_271(x))
Eq(F_256(x), F_234(x) + F_257(x))
Eq(F_257(x), F_258(x))
Eq(F_258(x), F_108(x) + F_259(x))
Eq(F_259(x), F_260(x) + F_270(x) + F_55(x))
Eq(F_260(x), F_261(x)*F_4(x))
Eq(F_261(x), F_159(x) + F_262(x))
Eq(F_262(x), F_263(x) + F_266(x))
Eq(F_263(x), F_264(x) + F_265(x) + F_55(x))
Eq(F_264(x), x**2)
Eq(F_265(x), x**2)
Eq(F_266(x), F_267(x) + F_268(x) + F_269(x) + F_55(x))
Eq(F_267(x), F_160(x)*F_4(x))
Eq(F_268(x), F_262(x)*F_4(x))
Eq(F_269(x), F_112(x)*F_4(x))
Eq(F_270(x), F_108(x)*F_4(x))
Eq(F_271(x), F_272(x) + F_286(x))
Eq(F_272(x), F_273(x) + F_278(x))
Eq(F_273(x), F_274(x) + F_41(x))
Eq(F_274(x), F_275(x) + F_277(x) + F_55(x))
Eq(F_275(x), F_276(x)*F_4(x))
Eq(F_276(x), F_274(x) + F_4(x))
Eq(F_277(x), F_4(x)*F_41(x))
Eq(F_278(x), F_279(x) + F_282(x))
Eq(F_279(x), F_280(x))
Eq(F_280(x), F_281(x)*F_4(x))
Eq(F_281(x), F_279(x) + F_41(x))
Eq(F_282(x), F_283(x) + F_285(x) + 2*F_55(x))
Eq(F_283(x), F_284(x)*F_4(x))
Eq(F_284(x), F_274(x) + F_282(x))
Eq(F_285(x), F_279(x)*F_4(x))
Eq(F_286(x), F_287(x))
Eq(F_287(x), F_288(x) + F_299(x))
Eq(F_288(x), F_289(x) + F_55(x) + F_56(x))
Eq(F_289(x), F_290(x)*F_4(x))
Eq(F_290(x), F_291(x) + F_53(x))
Eq(F_291(x), F_274(x) + F_292(x))
Eq(F_292(x), F_293(x) + F_297(x) + F_298(x) + F_55(x))
Eq(F_293(x), F_294(x)*F_4(x))
Eq(F_294(x), F_295(x) + F_296(x))
Eq(F_295(x), F_113(x))
Eq(F_296(x), F_293(x) + F_297(x) + 2*F_55(x))
Eq(F_297(x), F_4(x)*F_54(x))
Eq(F_298(x), F_291(x)*F_4(x))
Eq(F_299(x), F_300(x) + F_306(x) + F_324(x) + F_55(x))
Eq(F_300(x), F_301(x)*F_4(x))
Eq(F_301(x), F_160(x) + F_302(x))
Eq(F_302(x), F_300(x) + F_303(x) + F_305(x) + F_55(x))
Eq(F_303(x), F_304(x)*F_4(x))
Eq(F_304(x), F_274(x) + F_302(x))
Eq(F_305(x), F_4(x)*F_54(x))
Eq(F_306(x), F_307(x)*F_4(x))
Eq(F_307(x), F_304(x) + F_308(x))
Eq(F_308(x), F_309(x) + F_314(x))
Eq(F_309(x), F_310(x) + F_312(x) + F_313(x) + F_55(x))
Eq(F_310(x), F_311(x)*F_4(x))
Eq(F_311(x), F_263(x) + F_309(x))
Eq(F_312(x), F_274(x)*F_4(x))
Eq(F_313(x), F_274(x)*F_4(x))
Eq(F_314(x), F_315(x) + F_320(x) + F_322(x) + F_323(x) + F_55(x))
Eq(F_315(x), F_316(x)*F_4(x))
Eq(F_316(x), F_317(x) + F_319(x))
Eq(F_317(x), F_267(x) + F_318(x) + 2*F_55(x))
Eq(F_318(x), F_295(x)*F_4(x))
Eq(F_319(x), F_315(x) + F_320(x) + F_321(x) + 2*F_55(x))
Eq(F_320(x), F_302(x)*F_4(x))
Eq(F_321(x), F_296(x)*F_4(x))
Eq(F_322(x), F_308(x)*F_4(x))
Eq(F_323(x), F_292(x)*F_4(x))
Eq(F_324(x), F_288(x)*F_4(x))
Eq(F_325(x), F_11(x) + F_326(x))
Eq(F_326(x), F_327(x)/F_64(x))
Eq(F_327(x), F_328(x) - F_349(x))
Eq(F_328(x), F_329(x))
Eq(F_329(x), F_330(x)*F_4(x))
Eq(F_330(x), F_331(x)/F_4(x))
Eq(F_331(x), F_332(x))
Eq(F_332(x), F_333(x) + F_338(x))
Eq(F_333(x), F_334(x) + F_336(x))
Eq(F_334(x), F_335(x)*F_41(x))
Eq(F_335(x), F_1(x) + F_108(x))
Eq(F_336(x), F_337(x)*F_50(x))
Eq(F_337(x), x*(x - 2)*(x - 1)*((x - 1)*F_337(x) - 1)**2 - (x - 1)**3 + (x - 1)**2*(x + 1)*((x - 1)*F_337(x) - 1) + F_337(x))
Eq(F_338(x), F_339(x))
Eq(F_339(x), F_340(x)*F_4(x))
Eq(F_340(x), F_341(x) + F_348(x))
Eq(F_341(x), F_342(x) + F_347(x))
Eq(F_342(x), F_343(x)*F_41(x))
Eq(F_343(x), F_234(x) + F_344(x))
Eq(F_344(x), F_345(x) + F_346(x))
Eq(F_345(x), F_263(x) + F_4(x))
Eq(F_346(x), F_112(x) + F_266(x))
Eq(F_347(x), F_234(x)*F_337(x))
Eq(F_348(x), F_234(x)*F_4(x)*F_41(x))
Eq(F_349(x), F_350(x) + F_351(x))
Eq(F_350(x), F_104(x)*F_40(x))
Eq(F_351(x), F_337(x)*F_64(x))
Eq(F_352(x), F_353(x))
Eq(F_353(x), F_354(x)*F_485(x))
Eq(F_354(x), F_355(x)/F_363(x))
Eq(F_355(x), F_356(x))
Eq(F_356(x), F_252(x) - F_357(x))
Eq(F_357(x), F_325(x)*F_358(x))
Eq(F_358(x), F_359(x) + F_361(x))
Eq(F_359(x), F_159(x) + F_360(x))
Eq(F_360(x), F_259(x))
Eq(F_361(x), F_284(x) + F_362(x))
Eq(F_362(x), F_299(x))
Eq(F_363(x), F_364(x) + F_484(x))
Eq(F_364(x), F_365(x) - F_511(x))
Eq(F_365(x), F_366(x) + F_434(x))
Eq(F_366(x), F_325(x) + F_367(x))
Eq(F_367(x), F_368(x) + F_369(x))
Eq(F_368(x), F_11(x)*F_2(x))
Eq(F_369(x), F_370(x))
Eq(F_370(x), F_19(x)*F_371(x)*F_4(x))
Eq(F_371(x), F_326(x) + F_372(x))
Eq(F_372(x), F_373(x))
Eq(F_373(x), F_374(x)*F_4(x))
Eq(F_374(x), F_375(x)/(F_19(x)*F_4(x)))
Eq(F_375(x), F_376(x))
Eq(F_376(x), F_377(x) + F_508(x))
Eq(F_377(x), F_378(x) - F_380(x))
Eq(F_378(x), F_379(x)/F_4(x))
Eq(F_379(x), F_151(x))
Eq(F_380(x), F_381(x)/F_4(x))
Eq(F_381(x), F_382(x))
Eq(F_382(x), F_383(x) + F_384(x))
Eq(F_383(x), F_21(x)*F_4(x))
Eq(F_384(x), F_385(x))
Eq(F_385(x), F_386(x)*F_387(x)*F_4(x))
Eq(F_386(x), F_41(x) + F_43(x))
Eq(F_387(x), F_388(x)/(F_4(x)*F_450(x)))
Eq(F_388(x), F_389(x))
Eq(F_389(x), F_390(x) - F_507(x))
Eq(F_390(x), F_391(x) + F_397(x))
Eq(F_391(x), F_392(x))
Eq(F_392(x), F_393(x)*F_394(x))
Eq(F_393(x), F_335(x) + F_51(x))
Eq(F_394(x), F_395(x))
Eq(F_395(x), F_396(x)*F_4(x))
Eq(F_396(x), F_21(x) + F_91(x))
Eq(F_397(x), F_398(x))
Eq(F_398(x), F_399(x)*F_4(x))
Eq(F_399(x), F_400(x) - F_505(x))
Eq(F_400(x), F_401(x)/(F_19(x)*F_4(x)))
Eq(F_401(x), F_402(x))
Eq(F_402(x), F_403(x) + F_430(x))
Eq(F_403(x), F_404(x)*F_405(x))
Eq(F_404(x), F_20(x))
Eq(F_405(x), F_156(x) + F_406(x))
Eq(F_406(x), F_407(x))
Eq(F_407(x), -F_11(x) + F_408(x))
Eq(F_408(x), F_335(x) + F_409(x))
Eq(F_409(x), F_410(x))
Eq(F_410(x), F_4(x)*F_411(x))
Eq(F_411(x), F_412(x)/F_4(x))
Eq(F_412(x), F_413(x))
Eq(F_413(x), -F_335(x) + F_414(x))
Eq(F_414(x), F_11(x) + F_415(x))
Eq(F_415(x), F_416(x))
Eq(F_416(x), F_4(x)*F_417(x))
Eq(F_417(x), F_418(x)/F_4(x))
Eq(F_418(x), F_419(x))
Eq(F_419(x), F_420(x)/F_4(x))
Eq(F_420(x), F_421(x) - F_427(x))
Eq(F_421(x), F_422(x))
Eq(F_422(x), F_4(x)*F_423(x))
Eq(F_423(x), F_424(x) + F_426(x))
Eq(F_424(x), F_183(x) + F_425(x))
Eq(F_425(x), F_40(x)*F_51(x))
Eq(F_426(x), F_159(x)*F_40(x))
Eq(F_427(x), F_428(x) + F_429(x))
Eq(F_428(x), F_40(x)*F_64(x))
Eq(F_429(x), F_337(x)*F_4(x))
Eq(F_430(x), F_431(x))
Eq(F_431(x), F_4(x)*F_432(x)*F_450(x))
Eq(F_432(x), F_433(x) + F_449(x))
Eq(F_433(x), F_434(x))
Eq(F_434(x), F_435(x))
Eq(F_435(x), F_436(x) - F_446(x))
Eq(F_436(x), F_437(x)/F_4(x))
Eq(F_437(x), F_438(x))
Eq(F_438(x), F_439(x) + F_442(x))
Eq(F_439(x), F_21(x) + F_440(x))
Eq(F_440(x), F_441(x))
Eq(F_441(x), F_19(x)*F_396(x)*F_4(x))
Eq(F_442(x), F_443(x))
Eq(F_443(x), F_4(x)*F_444(x))
Eq(F_444(x), F_445(x))
Eq(F_445(x), F_183(x)*F_19(x)*F_4(x))
Eq(F_446(x), F_366(x) + F_447(x))
Eq(F_447(x), F_448(x))
Eq(F_448(x), F_19(x)*F_325(x)*F_4(x))
Eq(F_449(x), F_367(x))
Eq(F_450(x), F_451(x)/(F_4(x)*F_483(x)))
Eq(F_451(x), F_452(x))
Eq(F_452(x), F_453(x) - F_482(x))
Eq(F_453(x), F_454(x) + F_457(x))
Eq(F_454(x), F_455(x))
Eq(F_455(x), F_393(x)*F_456(x))
Eq(F_456(x), F_21(x) + F_394(x))
Eq(F_457(x), F_397(x) + F_458(x))
Eq(F_458(x), F_459(x) - F_480(x))
Eq(F_459(x), F_460(x)/F_50(x))
Eq(F_460(x), F_461(x) - F_473(x))
Eq(F_461(x), F_462(x)/F_4(x))
Eq(F_462(x), F_463(x))
Eq(F_463(x), -F_333(x) + F_464(x))
Eq(F_464(x), F_409(x) + F_465(x))
Eq(F_465(x), F_466(x))
Eq(F_466(x), F_4(x)*F_467(x))
Eq(F_467(x), F_468(x) + F_472(x))
Eq(F_468(x), F_469(x)*F_50(x))
Eq(F_469(x), F_405(x) - F_470(x))
Eq(F_470(x), F_471(x) + F_50(x))
Eq(F_471(x), F_108(x))
Eq(F_472(x), F_111(x)*F_53(x))
Eq(F_473(x), F_474(x))
Eq(F_474(x), F_472(x) + F_475(x))
Eq(F_475(x), F_476(x)*F_49(x))
Eq(F_476(x), F_477(x))
Eq(F_477(x), F_4(x)*F_478(x)*F_50(x))
Eq(F_478(x), F_337(x) + F_479(x))
Eq(F_479(x), F_41(x)*F_50(x))
Eq(F_480(x), F_481(x))
Eq(F_481(x), F_21(x)*F_393(x))
Eq(F_482(x), F_235(x)*F_469(x))
Eq(F_483(x), F_364(x) + F_484(x))
Eq(F_484(x), F_387(x) - F_485(x))
Eq(F_485(x), F_486(x) - F_490(x))
Eq(F_486(x), F_487(x) + F_488(x))
Eq(F_487(x), F_156(x)*F_4(x))
Eq(F_488(x), F_489(x))
Eq(F_489(x), F_165(x)*F_387(x)*F_4(x))
Eq(F_490(x), F_491(x))
Eq(F_491(x), F_492(x) - F_496(x))
Eq(F_492(x), F_397(x) + F_493(x))
Eq(F_493(x), F_494(x))
Eq(F_494(x), F_393(x)*F_495(x))
Eq(F_495(x), F_394(x) + F_4(x))
Eq(F_496(x), F_380(x) - F_497(x))
Eq(F_497(x), F_498(x) - F_500(x))
Eq(F_498(x), F_499(x)/F_4(x))
Eq(F_499(x), F_384(x))
Eq(F_500(x), F_389(x) - F_501(x))
Eq(F_501(x), F_502(x))
Eq(F_502(x), F_488(x) - F_503(x))
Eq(F_503(x), -F_383(x) + F_504(x))
Eq(F_504(x), F_382(x) + F_394(x))
Eq(F_505(x), F_506(x))
Eq(F_506(x), F_393(x)*F_90(x))
Eq(F_507(x), F_4(x)*F_469(x))
Eq(F_508(x), F_509(x))
Eq(F_509(x), F_374(x)*F_4(x)*F_510(x))
Eq(F_510(x), F_18(x) + F_2(x))
Eq(F_511(x), -F_485(x) + F_512(x))
Eq(F_512(x), F_367(x) + F_434(x))
Eq(F_513(x), F_514(x))
Eq(F_514(x), F_354(x)*F_484(x))
Eq(F_515(x), F_516(x)*F_517(x))
Eq(F_516(x), F_159(x) + F_284(x))
Eq(F_517(x), F_156(x) + F_518(x))
Eq(F_518(x), F_519(x))
Eq(F_519(x), F_165(x)*F_325(x)*F_4(x))
Eq(F_520(x), F_276(x)*F_517(x))
Eq(F_521(x), F_522(x) + F_524(x))
Eq(F_522(x), F_517(x)*F_523(x))
Eq(F_523(x), F_235(x) + F_273(x))
Eq(F_524(x), F_40(x)*F_486(x))
Eq(F_525(x), F_526(x)/F_4(x))
Eq(F_526(x), F_407(x))
Eq(F_527(x), F_143(x))
Eq(F_528(x), F_529(x))
Eq(F_529(x), F_4(x)*F_49(x)*F_90(x))
Eq(F_530(x), F_531(x))
Eq(F_531(x), F_11(x)*F_49(x)*F_64(x))
Eq(F_532(x), F_533(x) + F_535(x))
Eq(F_533(x), F_534(x))
Eq(F_534(x), F_4(x)*F_49(x)*F_89(x))
Eq(F_535(x), F_536(x))
Eq(F_536(x), F_11(x)*F_51(x)*F_537(x))
Eq(F_537(x), F_159(x) + F_304(x))
Eq(F_538(x), F_539(x) + F_67(x))
Eq(F_539(x), F_64(x) + F_69(x))
Eq(F_540(x), F_141(x) - F_67(x))
Eq(F_541(x), F_542(x))
Eq(F_542(x), F_4(x)*F_543(x))
Eq(F_543(x), F_544(x) + F_643(x))
Eq(F_544(x), F_545(x))
Eq(F_545(x), F_4(x)*F_546(x))
Eq(F_546(x), F_547(x) + F_628(x))
Eq(F_547(x), F_165(x)*F_548(x))
Eq(F_548(x), F_549(x)/F_4(x))
Eq(F_549(x), F_550(x))
Eq(F_550(x), F_551(x) + F_618(x))
Eq(F_551(x), F_552(x) + F_64(x))
Eq(F_552(x), F_553(x))
Eq(F_553(x), F_4(x)*F_554(x))
Eq(F_554(x), F_550(x) + F_555(x))
Eq(F_555(x), -F_556(x) + F_8(x))
Eq(F_556(x), F_557(x) - F_559(x))
Eq(F_557(x), F_558(x)/F_4(x))
Eq(F_558(x), F_6(x))
Eq(F_559(x), F_560(x) + F_613(x))
Eq(F_560(x), -F_10(x) + F_561(x))
Eq(F_561(x), F_562(x) - F_564(x))
Eq(F_562(x), F_563(x)/F_4(x))
Eq(F_563(x), F_31(x))
Eq(F_564(x), F_565(x))
Eq(F_565(x), F_4(x)*F_566(x))
Eq(F_566(x), F_567(x) + F_609(x))
Eq(F_567(x), F_568(x) + F_574(x))
Eq(F_568(x), F_414(x)*F_569(x))
Eq(F_569(x), F_10(x) + F_570(x))
Eq(F_570(x), F_571(x))
Eq(F_571(x), -F_556(x) + F_572(x))
Eq(F_572(x), F_573(x)/F_4(x))
Eq(F_573(x), F_551(x))
Eq(F_574(x), F_575(x) + F_606(x))
Eq(F_575(x), F_576(x))
Eq(F_576(x), F_577(x) - F_586(x))
Eq(F_577(x), F_578(x)/F_4(x))
Eq(F_578(x), F_579(x))
Eq(F_579(x), -F_12(x) + F_580(x))
Eq(F_580(x), F_581(x))
Eq(F_581(x), F_4(x)*F_582(x))
Eq(F_582(x), F_583(x) + F_584(x))
Eq(F_583(x), F_26(x)*F_39(x))
Eq(F_584(x), F_585(x))
Eq(F_585(x), F_39(x)*F_4(x)*F_582(x))
Eq(F_586(x), F_587(x) + F_588(x))
Eq(F_587(x), F_12(x)*F_414(x))
Eq(F_588(x), F_589(x))
Eq(F_589(x), F_4(x)*F_580(x)*F_590(x))
Eq(F_590(x), F_591(x)/(F_4(x)*F_592(x)))
Eq(F_591(x), F_574(x))
Eq(F_592(x), F_593(x) + F_596(x))
Eq(F_593(x), F_26(x) + F_594(x))
Eq(F_594(x), F_595(x))
Eq(F_595(x), F_25(x)*F_4(x)*F_40(x))
Eq(F_596(x), F_597(x))
Eq(F_597(x), F_598(x) - F_601(x))
Eq(F_598(x), F_599(x)/F_4(x))
Eq(F_599(x), F_600(x))
Eq(F_600(x), -F_22(x) + F_555(x))
Eq(F_601(x), F_602(x) + F_604(x))
Eq(F_602(x), F_603(x))
Eq(F_603(x), F_4(x)*F_40(x)*F_548(x))
Eq(F_604(x), F_605(x))
Eq(F_605(x), F_40(x)*F_600(x))
Eq(F_606(x), F_607(x))
Eq(F_607(x), F_4(x)*F_590(x)*F_608(x))
Eq(F_608(x), F_594(x) + F_596(x))
Eq(F_609(x), F_610(x))
Eq(F_610(x), F_611(x))
Eq(F_611(x), F_4(x)*F_590(x)*F_612(x))
Eq(F_612(x), F_564(x) + F_569(x))
Eq(F_613(x), F_614(x))
Eq(F_614(x), F_4(x)*F_615(x))
Eq(F_615(x), F_601(x) + F_616(x))
Eq(F_616(x), F_617(x))
Eq(F_617(x), F_24(x)*F_4(x)*F_40(x))
Eq(F_618(x), -F_6(x) + F_619(x))
Eq(F_619(x), F_620(x) - F_622(x))
Eq(F_620(x), F_621(x)/F_4(x))
Eq(F_621(x), F_103(x))
Eq(F_622(x), F_623(x) - F_625(x))
Eq(F_623(x), F_624(x)/F_4(x))
Eq(F_624(x), F_127(x))
Eq(F_625(x), F_5(x) + F_626(x))
Eq(F_626(x), F_556(x) - F_627(x))
Eq(F_627(x), F_0(x) + F_551(x))
Eq(F_628(x), F_239(x)*F_629(x))
Eq(F_629(x), F_630(x) - F_641(x))
Eq(F_630(x), F_525(x) + F_631(x))
Eq(F_631(x), F_632(x)/F_4(x))
Eq(F_632(x), F_633(x))
Eq(F_633(x), F_634(x))
Eq(F_634(x), F_4(x)*F_635(x))
Eq(F_635(x), F_636(x) - F_638(x))
Eq(F_636(x), F_637(x)/F_4(x))
Eq(F_637(x), F_579(x))
Eq(F_638(x), F_195(x) + F_639(x))
Eq(F_639(x), F_640(x))
Eq(F_640(x), F_27(x)*F_4(x)*F_49(x))
Eq(F_641(x), F_642(x))
Eq(F_642(x), F_4(x)*F_49(x)*F_629(x))
Eq(F_643(x), F_644(x))
Eq(F_644(x), F_4(x)*F_645(x))
Eq(F_645(x), F_646(x) + F_732(x))
Eq(F_646(x), F_165(x)*F_647(x))
Eq(F_647(x), F_648(x) + F_728(x))
Eq(F_648(x), F_649(x) - F_651(x))
Eq(F_649(x), F_650(x)/F_4(x))
Eq(F_650(x), F_559(x))
Eq(F_651(x), F_652(x))
Eq(F_652(x), F_653(x) + F_726(x))
Eq(F_653(x), F_654(x) - F_684(x))
Eq(F_654(x), F_655(x)/F_4(x))
Eq(F_655(x), F_656(x))
Eq(F_656(x), F_657(x))
Eq(F_657(x), F_4(x)*F_658(x))
Eq(F_658(x), F_659(x) + F_682(x))
Eq(F_659(x), F_660(x) + F_662(x))
Eq(F_660(x), F_408(x) + F_661(x))
Eq(F_661(x), F_12(x) + F_633(x))
Eq(F_662(x), F_663(x)/F_4(x))
Eq(F_663(x), F_664(x))
Eq(F_664(x), -F_186(x) + F_665(x))
Eq(F_665(x), F_666(x))
Eq(F_666(x), F_4(x)*F_667(x))
Eq(F_667(x), F_668(x) + F_677(x))
Eq(F_668(x), F_669(x) + F_675(x))
Eq(F_669(x), F_665(x) + F_670(x))
Eq(F_670(x), F_50(x) + F_671(x))
Eq(F_671(x), F_672(x))
Eq(F_672(x), -F_0(x) + F_673(x))
Eq(F_673(x), -F_665(x) + F_674(x))
Eq(F_674(x), F_185(x) + F_656(x))
Eq(F_675(x), F_676(x))
Eq(F_676(x), F_34(x)*F_4(x)*F_669(x))
Eq(F_677(x), F_678(x) + F_679(x))
Eq(F_678(x), F_672(x))
Eq(F_679(x), F_680(x))
Eq(F_680(x), F_665(x) - F_681(x))
Eq(F_681(x), F_21(x)*F_50(x))
Eq(F_682(x), F_683(x))
Eq(F_683(x), F_25(x)*F_4(x))
Eq(F_684(x), F_685(x) + F_724(x))
Eq(F_685(x), F_670(x) + F_686(x))
Eq(F_686(x), -F_671(x) + F_687(x))
Eq(F_687(x), F_688(x)/F_159(x))
Eq(F_688(x), F_689(x) - F_702(x))
Eq(F_689(x), F_690(x)/F_4(x))
Eq(F_690(x), F_691(x))
Eq(F_691(x), F_692(x) - F_701(x))
Eq(F_692(x), F_693(x) + F_694(x))
Eq(F_693(x), F_7(x))
Eq(F_694(x), F_695(x))
Eq(F_695(x), F_4(x)*F_696(x))
Eq(F_696(x), F_697(x) + F_700(x))
Eq(F_697(x), F_50(x)*F_698(x))
Eq(F_698(x), F_671(x) + F_699(x))
Eq(F_699(x), F_552(x))
Eq(F_700(x), F_159(x)*F_671(x))
Eq(F_701(x), F_2(x)*F_67(x))
Eq(F_702(x), F_50(x)*F_703(x))
Eq(F_703(x), F_704(x) + F_707(x))
Eq(F_704(x), F_705(x))
Eq(F_705(x), F_21(x)*F_706(x))
Eq(F_706(x), F_50(x) + F_64(x))
Eq(F_707(x), F_708(x) + F_720(x))
Eq(F_708(x), F_709(x)/F_414(x))
Eq(F_709(x), -F_574(x) + F_710(x))
Eq(F_710(x), F_711(x) - F_715(x))
Eq(F_711(x), F_712(x)/F_4(x))
Eq(F_712(x), F_713(x))
Eq(F_713(x), F_564(x) - F_714(x))
Eq(F_714(x), F_326(x)*F_50(x))
Eq(F_715(x), F_716(x))
Eq(F_716(x), F_610(x) - F_717(x))
Eq(F_717(x), F_50(x)*F_718(x))
Eq(F_718(x), F_719(x))
Eq(F_719(x), F_325(x)*F_4(x)*F_590(x))
Eq(F_720(x), F_721(x))
Eq(F_721(x), F_552(x) + F_722(x))
Eq(F_722(x), F_618(x) - F_723(x))
Eq(F_723(x), F_21(x)*F_64(x))
Eq(F_724(x), F_725(x)/F_4(x))
Eq(F_725(x), F_664(x))
Eq(F_726(x), F_727(x))
Eq(F_727(x), F_4(x)*F_40(x)*F_653(x))
Eq(F_728(x), F_729(x))
Eq(F_729(x), F_4(x)*F_40(x)*F_730(x))
Eq(F_730(x), F_731(x)/(F_4(x)*F_40(x)))
Eq(F_731(x), F_652(x))
Eq(F_732(x), F_733(x))
Eq(F_733(x), F_239(x)*F_730(x))
Pack JSON:
{"name": "point_placements_req_corrob", "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, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 3, 1, 2, 4], [0, 3, 1, 4, 2], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 1, 3, 2], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 3, 1, 2, 4], [0, 3, 1, 4, 2], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 1, 3, 2], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "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, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 2], [0, 0], [0, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 2], [0, 0], [0, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], "requirements": [], "assumptions": []}, {"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.factor", "strategy_class": "FactorStrategy", "ignore_parent": true, "workable": true, "partition": [[[0, 0], [0, 2]], [[1, 1]]]}}, "idx": 0}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], "requirements": [], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "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, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], 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{"patt": [0, 1], "pos": [[1, 0], [1, 2]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[1, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 1]]}], "indices": [0, 0], "direction": 2, "own_col": true, "own_row": true, "include_empty": 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]]}, {"patt": [1, 0], "pos": [[0, 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"RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 1]]}], "indices": [0, 0], "direction": 2, "own_col": true, "own_row": true, "include_empty": 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, 1]]}, {"patt": [0, 1], "pos": [[0, 2], [0, 2]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 2]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 0], "pos": [[0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 0], "pos": [[0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 1]]}, {"patt": [0, 1], "pos": [[0, 2], [0, 2]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 2]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 0], "pos": [[0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 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1]]}, {"patt": [2, 0, 1], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [0, 1], "pos": [[0, 2], [0, 2]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 2]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 1], [0, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 1], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 2]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 2]]}, {"patt": [0, 1], "pos": [[0, 3], [0, 3]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 2]]}, {"patt": [1, 0], "pos": [[0, 3], [0, 3]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 1], [0, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 1], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[0, 2]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementInsertionStrategy", "ignore_parent": true, "gps": [{"patt": [0], "pos": [[0, 2]]}]}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"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, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[2, 0]]}], [{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 1]]}], "indices": [0], "direction": 0, "own_col": true, "own_row": true, "include_empty": false}}]}, {"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": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 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, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 3, 1, 2, 4], [0, 3, 1, 4, 2], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 1, 3, 2], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1]], "symmetry": false}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 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, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 3, 1, 2, 4], [0, 3, 1, 4, 2], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 1, 3, 2], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1]], "symmetry": false}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 3, 1, 2, 4], [0, 3, 1, 4, 2], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 1, 3, 2], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1]], "symmetry": false}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[1, 1]]}]], "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], "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]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[1, 0]]}]], "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": [], "pos": []}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}

Specification 3
Strategy pack name: point_placements_req_corrob
Tree: http://permpal.com/tree/25662/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[4,x]*F[5,x]
F[4,x] = x
F[5,x] = F[0,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[4,x]*F[8,x]
F[8,x] = F[61,x]+F[9,x]
F[9,x] = F[10,x]+F[22,x]
F[10,x] = F[11,x]+F[12,x]
F[11,x] = -1+(x^2-2*x)*F[11,x]^2+(2+x)*F[11,x]
F[12,x] = F[13,x]
F[13,x] = F[14,x]*F[4,x]
F[14,x] = 1/F[4,x]*F[15,x]
F[15,x] = F[16,x]
F[16,x] = F[17,x]+F[2,x]
F[17,x] = -F[21,x]+F[18,x]
F[18,x] = -F[0,x]+F[19,x]
F[19,x] = 1/F[4,x]*F[20,x]
F[20,x] = F[2,x]
F[21,x] = (x*F[21,x]+x-1)*(x*F[21,x]+x-2*F[21,x])
F[22,x] = F[23,x]
F[23,x] = F[24,x]*F[4,x]
F[24,x] = F[25,x]+F[59,x]
F[25,x] = F[26,x]+F[47,x]
F[26,x] = F[10,x]+F[27,x]
F[27,x] = -F[32,x]+F[28,x]
F[28,x] = 1/F[4,x]*F[29,x]
F[29,x] = F[30,x]
F[30,x] = -F[21,x]+F[31,x]
F[31,x] = -F[0,x]+F[10,x]
F[32,x] = F[33,x]
F[33,x] = F[26,x]*F[34,x]*F[4,x]
F[34,x] = 1/F[10,x]/F[4,x]*F[35,x]
F[35,x] = F[36,x]
F[36,x] = F[37,x]+F[45,x]
F[37,x] = F[38,x]
F[38,x] = F[10,x]*F[39,x]*F[4,x]
F[39,x] = F[40,x]+F[43,x]
F[40,x] = F[1,x]+F[41,x]
F[41,x] = F[42,x]
F[42,x] = F[4,x]*F[40,x]
F[43,x] = F[44,x]
F[44,x] = F[34,x]*F[4,x]*F[40,x]
F[45,x] = F[46,x]
F[46,x] = F[34,x]*F[37,x]*F[4,x]
F[47,x] = F[48,x]
F[48,x] = F[26,x]*F[4,x]*F[49,x]
F[49,x] = F[50,x]+F[53,x]
F[50,x] = F[1,x]+F[51,x]
F[51,x] = F[52,x]
F[52,x] = F[4,x]*F[50,x]
F[53,x] = F[41,x]+F[54,x]
F[54,x] = F[55,x]+F[56,x]+F[58,x]
F[55,x] = 0
F[56,x] = F[4,x]*F[57,x]
F[57,x] = F[51,x]+F[54,x]
F[58,x] = F[4,x]*F[53,x]
F[59,x] = F[60,x]
F[60,x] = F[25,x]*F[4,x]*F[49,x]
F[61,x] = F[541,x]+F[62,x]
F[62,x] = F[63,x]+F[80,x]
F[63,x] = F[64,x]+F[69,x]
F[64,x] = F[65,x]
F[65,x] = F[4,x]*F[66,x]
F[66,x] = F[67,x]+F[68,x]
F[67,x] = F[1,x]+F[64,x]
F[68,x] = F[51,x]
F[69,x] = F[55,x]+F[70,x]+F[74,x]
F[70,x] = F[4,x]*F[71,x]
F[71,x] = F[63,x]+F[72,x]
F[72,x] = F[73,x]+F[77,x]
F[73,x] = F[74,x]
F[74,x] = F[4,x]*F[75,x]
F[75,x] = F[76,x]
F[76,x] = F[4,x]+F[73,x]
F[77,x] = F[78,x]
F[78,x] = F[4,x]*F[79,x]
F[79,x] = F[72,x]
F[80,x] = -F[540,x]+F[81,x]
F[81,x] = -F[538,x]+F[82,x]
F[82,x] = F[83,x]+F[84,x]
F[83,x] = F[11,x]*F[67,x]
F[84,x] = F[85,x]
F[85,x] = F[4,x]*F[86,x]
F[86,x] = F[532,x]+F[87,x]
F[87,x] = F[530,x]+F[88,x]
F[88,x] = F[50,x]*F[89,x]
F[89,x] = F[528,x]+F[90,x]
F[90,x] = F[11,x]+F[91,x]
F[91,x] = -F[149,x]+F[92,x]
F[92,x] = -F[95,x]+F[93,x]
F[93,x] = 1/F[4,x]*F[94,x]
F[94,x] = F[30,x]
F[95,x] = -F[96,x]+F[14,x]
F[96,x] = -F[99,x]+F[97,x]
F[97,x] = 1/F[4,x]*F[98,x]
F[98,x] = F[16,x]
F[99,x] = F[100,x]+F[527,x]
F[100,x] = -F[124,x]+F[101,x]
F[101,x] = 1/F[4,x]*F[102,x]
F[102,x] = F[103,x]
F[103,x] = -F[104,x]+F[6,x]
F[104,x] = F[105,x]
F[105,x] = F[106,x]*F[4,x]
F[106,x] = F[107,x]+F[67,x]
F[107,x] = F[108,x]+F[115,x]
F[108,x] = F[109,x]
F[109,x] = F[110,x]*F[4,x]
F[110,x] = F[111,x]+F[50,x]
F[111,x] = F[112,x]+F[4,x]
F[112,x] = F[113,x]+F[114,x]+F[55,x]
F[113,x] = F[4,x]*F[51,x]
F[114,x] = F[111,x]*F[4,x]
F[115,x] = F[116,x]+F[118,x]+F[55,x]
F[116,x] = F[117,x]*F[4,x]
F[117,x] = F[64,x]
F[118,x] = F[119,x]*F[4,x]
F[119,x] = F[120,x]+F[123,x]
F[120,x] = F[121,x]+F[4,x]
F[121,x] = F[118,x]+F[122,x]+F[55,x]
F[122,x] = F[4,x]*F[64,x]
F[123,x] = F[112,x]
F[124,x] = -F[128,x]+F[125,x]
F[125,x] = 1/F[4,x]*F[126,x]
F[126,x] = F[127,x]
F[127,x] = F[103,x]+F[2,x]
F[128,x] = F[129,x]+F[5,x]
F[129,x] = F[130,x]
F[130,x] = F[131,x]*F[4,x]
F[131,x] = 1/F[4,x]*F[132,x]
F[132,x] = F[133,x]
F[133,x] = -F[136,x]+F[134,x]
F[134,x] = 1/F[4,x]*F[135,x]
F[135,x] = F[17,x]
F[136,x] = F[137,x]+F[151,x]
F[137,x] = F[138,x]
F[138,x] = F[139,x]*F[4,x]
F[139,x] = F[140,x]+F[145,x]
F[140,x] = F[141,x]+F[142,x]
F[141,x] = F[11,x]+F[137,x]
F[142,x] = F[143,x]+F[91,x]
F[143,x] = F[144,x]
F[144,x] = F[137,x]*F[4,x]*F[40,x]
F[145,x] = F[146,x]
F[146,x] = F[147,x]+F[149,x]
F[147,x] = F[148,x]
F[148,x] = F[4,x]*F[89,x]
F[149,x] = F[150,x]
F[150,x] = F[147,x]*F[4,x]*F[40,x]
F[151,x] = F[152,x]
F[152,x] = F[153,x]*F[4,x]
F[153,x] = F[154,x]+F[214,x]
F[154,x] = F[155,x]+F[163,x]
F[155,x] = F[156,x]*F[159,x]
F[156,x] = F[11,x]+F[157,x]
F[157,x] = F[158,x]
F[158,x] = F[11,x]*F[4,x]*F[49,x]
F[159,x] = F[160,x]+F[4,x]
F[160,x] = F[161,x]+F[162,x]+F[55,x]
F[161,x] = F[159,x]*F[4,x]
F[162,x] = F[4,x]*F[51,x]
F[163,x] = F[164,x]
F[164,x] = F[153,x]*F[165,x]*F[4,x]
F[165,x] = 1/F[10,x]/F[4,x]*F[166,x]
F[166,x] = F[167,x]
F[167,x] = -F[156,x]+F[168,x]
F[168,x] = F[169,x]+F[170,x]
F[169,x] = F[0,x]*F[50,x]
F[170,x] = F[171,x]
F[171,x] = F[172,x]*F[4,x]*F[50,x]
F[172,x] = F[173,x]+F[195,x]
F[173,x] = F[174,x]+F[212,x]
F[174,x] = 1/F[21,x]*F[175,x]
F[175,x] = -F[197,x]+F[176,x]
F[176,x] = -F[194,x]+F[177,x]
F[177,x] = 1/F[4,x]*F[178,x]
F[178,x] = F[179,x]
F[179,x] = F[180,x]
F[180,x] = F[181,x]*F[4,x]
F[181,x] = F[182,x]+F[192,x]
F[182,x] = F[183,x]*F[186,x]
F[183,x] = -F[36,x]+F[184,x]
F[184,x] = F[185,x]+F[190,x]
F[185,x] = F[0,x]+F[186,x]
F[186,x] = F[187,x]
F[187,x] = F[188,x]*F[4,x]
F[188,x] = F[184,x]+F[189,x]
F[189,x] = F[38,x]
F[190,x] = F[179,x]+F[191,x]
F[191,x] = F[0,x]*F[21,x]
F[192,x] = F[185,x]*F[193,x]
F[193,x] = -F[183,x]+F[34,x]
F[194,x] = F[195,x]*F[21,x]
F[195,x] = F[196,x]
F[196,x] = F[10,x]*F[4,x]*F[49,x]
F[197,x] = F[198,x]
F[198,x] = -F[208,x]+F[199,x]
F[199,x] = -F[202,x]+F[200,x]
F[200,x] = 1/F[4,x]*F[201,x]
F[201,x] = F[179,x]
F[202,x] = F[203,x]*F[21,x]
F[203,x] = F[204,x]+F[205,x]
F[204,x] = F[4,x]*F[40,x]
F[205,x] = F[206,x]
F[206,x] = F[207,x]*F[4,x]*F[40,x]
F[207,x] = F[2,x]+F[31,x]
F[208,x] = F[209,x]*F[21,x]
F[209,x] = -F[203,x]+F[210,x]
F[210,x] = 1/F[4,x]*F[211,x]
F[211,x] = F[186,x]
F[212,x] = F[213,x]
F[213,x] = -F[185,x]+F[168,x]
F[214,x] = F[215,x]+F[237,x]
F[215,x] = F[216,x]*F[50,x]
F[216,x] = F[159,x]+F[217,x]
F[217,x] = 1/F[50,x]*F[218,x]
F[218,x] = -F[221,x]+F[219,x]
F[219,x] = 1/F[4,x]*F[220,x]
F[220,x] = F[80,x]
F[221,x] = F[222,x]*F[234,x]
F[222,x] = 1/F[4,x]/F[40,x]*F[223,x]
F[223,x] = F[224,x]
F[224,x] = -F[231,x]+F[225,x]
F[225,x] = F[226,x]+F[227,x]
F[226,x] = F[205,x]*F[50,x]
F[227,x] = -F[230,x]+F[228,x]
F[228,x] = F[229,x]
F[229,x] = F[25,x]*F[4,x]*F[40,x]
F[230,x] = F[203,x]*F[50,x]
F[231,x] = -F[232,x]+F[228,x]
F[232,x] = F[233,x]
F[233,x] = F[156,x]*F[4,x]*F[40,x]
F[234,x] = F[235,x]+F[236,x]
F[235,x] = F[1,x]+F[4,x]
F[236,x] = F[160,x]+F[51,x]
F[237,x] = F[238,x]
F[238,x] = F[239,x]*F[4,x]*F[525,x]
F[239,x] = 1/F[325,x]/F[4,x]*F[240,x]
F[240,x] = F[241,x]
F[241,x] = -F[216,x]+F[242,x]
F[242,x] = 1/F[40,x]*F[243,x]
F[243,x] = -F[521,x]+F[244,x]
F[244,x] = F[245,x]+F[520,x]
F[245,x] = F[246,x]*F[40,x]
F[246,x] = 1/F[40,x]/F[50,x]*F[247,x]
F[247,x] = F[248,x]
F[248,x] = -F[515,x]+F[249,x]
F[249,x] = 1/F[4,x]*F[250,x]
F[250,x] = F[251,x]
F[251,x] = F[252,x]*F[4,x]
F[252,x] = F[253,x]+F[513,x]
F[253,x] = F[254,x]+F[352,x]
F[254,x] = F[255,x]*F[325,x]
F[255,x] = F[256,x]+F[271,x]
F[256,x] = F[234,x]+F[257,x]
F[257,x] = F[258,x]
F[258,x] = F[108,x]+F[259,x]
F[259,x] = F[260,x]+F[270,x]+F[55,x]
F[260,x] = F[261,x]*F[4,x]
F[261,x] = F[159,x]+F[262,x]
F[262,x] = F[263,x]+F[266,x]
F[263,x] = F[264,x]+F[265,x]+F[55,x]
F[264,x] = x^2
F[265,x] = x^2
F[266,x] = F[267,x]+F[268,x]+F[269,x]+F[55,x]
F[267,x] = F[160,x]*F[4,x]
F[268,x] = F[262,x]*F[4,x]
F[269,x] = F[112,x]*F[4,x]
F[270,x] = F[108,x]*F[4,x]
F[271,x] = F[272,x]+F[286,x]
F[272,x] = F[273,x]+F[278,x]
F[273,x] = F[274,x]+F[41,x]
F[274,x] = F[275,x]+F[277,x]+F[55,x]
F[275,x] = F[276,x]*F[4,x]
F[276,x] = F[274,x]+F[4,x]
F[277,x] = F[4,x]*F[41,x]
F[278,x] = F[279,x]+F[282,x]
F[279,x] = F[280,x]
F[280,x] = F[281,x]*F[4,x]
F[281,x] = F[279,x]+F[41,x]
F[282,x] = 2*F[55,x]+F[283,x]+F[285,x]
F[283,x] = F[284,x]*F[4,x]
F[284,x] = F[274,x]+F[282,x]
F[285,x] = F[279,x]*F[4,x]
F[286,x] = F[287,x]
F[287,x] = F[288,x]+F[299,x]
F[288,x] = F[289,x]+F[55,x]+F[56,x]
F[289,x] = F[290,x]*F[4,x]
F[290,x] = F[291,x]+F[53,x]
F[291,x] = F[274,x]+F[292,x]
F[292,x] = F[293,x]+F[297,x]+F[298,x]+F[55,x]
F[293,x] = F[294,x]*F[4,x]
F[294,x] = F[295,x]+F[296,x]
F[295,x] = F[113,x]
F[296,x] = 2*F[55,x]+F[293,x]+F[297,x]
F[297,x] = F[4,x]*F[54,x]
F[298,x] = F[291,x]*F[4,x]
F[299,x] = F[300,x]+F[306,x]+F[324,x]+F[55,x]
F[300,x] = F[301,x]*F[4,x]
F[301,x] = F[160,x]+F[302,x]
F[302,x] = F[300,x]+F[303,x]+F[305,x]+F[55,x]
F[303,x] = F[304,x]*F[4,x]
F[304,x] = F[274,x]+F[302,x]
F[305,x] = F[4,x]*F[54,x]
F[306,x] = F[307,x]*F[4,x]
F[307,x] = F[304,x]+F[308,x]
F[308,x] = F[309,x]+F[314,x]
F[309,x] = F[310,x]+F[312,x]+F[313,x]+F[55,x]
F[310,x] = F[311,x]*F[4,x]
F[311,x] = F[263,x]+F[309,x]
F[312,x] = F[274,x]*F[4,x]
F[313,x] = F[274,x]*F[4,x]
F[314,x] = F[315,x]+F[320,x]+F[322,x]+F[323,x]+F[55,x]
F[315,x] = F[316,x]*F[4,x]
F[316,x] = F[317,x]+F[319,x]
F[317,x] = 2*F[55,x]+F[267,x]+F[318,x]
F[318,x] = F[295,x]*F[4,x]
F[319,x] = 2*F[55,x]+F[315,x]+F[320,x]+F[321,x]
F[320,x] = F[302,x]*F[4,x]
F[321,x] = F[296,x]*F[4,x]
F[322,x] = F[308,x]*F[4,x]
F[323,x] = F[292,x]*F[4,x]
F[324,x] = F[288,x]*F[4,x]
F[325,x] = F[11,x]+F[326,x]
F[326,x] = 1/F[64,x]*F[327,x]
F[327,x] = -F[349,x]+F[328,x]
F[328,x] = F[329,x]
F[329,x] = F[330,x]*F[4,x]
F[330,x] = 1/F[4,x]*F[331,x]
F[331,x] = F[332,x]
F[332,x] = F[333,x]+F[338,x]
F[333,x] = F[334,x]+F[336,x]
F[334,x] = F[335,x]*F[41,x]
F[335,x] = F[1,x]+F[108,x]
F[336,x] = F[337,x]*F[50,x]
F[337,x] = x*(x^4*F[337,x]^2+(-5*F[337,x]^2-F[337,x])*x^3+(9*F[337,x]^2+6*F[337,x]-1)*x^2+(-7*F[337,x]^2-10*F[337,x]+1)*x+2*F[337,x]^2+6*F[337,x])
F[338,x] = F[339,x]
F[339,x] = F[340,x]*F[4,x]
F[340,x] = F[341,x]+F[348,x]
F[341,x] = F[342,x]+F[347,x]
F[342,x] = F[343,x]*F[41,x]
F[343,x] = F[234,x]+F[344,x]
F[344,x] = F[345,x]+F[346,x]
F[345,x] = F[263,x]+F[4,x]
F[346,x] = F[112,x]+F[266,x]
F[347,x] = F[234,x]*F[337,x]
F[348,x] = F[234,x]*F[4,x]*F[41,x]
F[349,x] = F[350,x]+F[351,x]
F[350,x] = F[104,x]*F[40,x]
F[351,x] = F[337,x]*F[64,x]
F[352,x] = F[353,x]
F[353,x] = F[354,x]*F[485,x]
F[354,x] = 1/F[363,x]*F[355,x]
F[355,x] = F[356,x]
F[356,x] = -F[357,x]+F[252,x]
F[357,x] = F[325,x]*F[358,x]
F[358,x] = F[359,x]+F[361,x]
F[359,x] = F[159,x]+F[360,x]
F[360,x] = F[259,x]
F[361,x] = F[284,x]+F[362,x]
F[362,x] = F[299,x]
F[363,x] = F[364,x]+F[484,x]
F[364,x] = -F[511,x]+F[365,x]
F[365,x] = F[366,x]+F[434,x]
F[366,x] = F[325,x]+F[367,x]
F[367,x] = F[368,x]+F[369,x]
F[368,x] = F[11,x]*F[2,x]
F[369,x] = F[370,x]
F[370,x] = F[19,x]*F[371,x]*F[4,x]
F[371,x] = F[326,x]+F[372,x]
F[372,x] = F[373,x]
F[373,x] = F[374,x]*F[4,x]
F[374,x] = 1/F[19,x]/F[4,x]*F[375,x]
F[375,x] = F[376,x]
F[376,x] = F[377,x]+F[508,x]
F[377,x] = -F[380,x]+F[378,x]
F[378,x] = 1/F[4,x]*F[379,x]
F[379,x] = F[151,x]
F[380,x] = 1/F[4,x]*F[381,x]
F[381,x] = F[382,x]
F[382,x] = F[383,x]+F[384,x]
F[383,x] = F[21,x]*F[4,x]
F[384,x] = F[385,x]
F[385,x] = F[386,x]*F[387,x]*F[4,x]
F[386,x] = F[41,x]+F[43,x]
F[387,x] = 1/F[4,x]/F[450,x]*F[388,x]
F[388,x] = F[389,x]
F[389,x] = -F[507,x]+F[390,x]
F[390,x] = F[391,x]+F[397,x]
F[391,x] = F[392,x]
F[392,x] = F[393,x]*F[394,x]
F[393,x] = F[335,x]+F[51,x]
F[394,x] = F[395,x]
F[395,x] = F[396,x]*F[4,x]
F[396,x] = F[21,x]+F[91,x]
F[397,x] = F[398,x]
F[398,x] = F[399,x]*F[4,x]
F[399,x] = -F[505,x]+F[400,x]
F[400,x] = 1/F[19,x]/F[4,x]*F[401,x]
F[401,x] = F[402,x]
F[402,x] = F[403,x]+F[430,x]
F[403,x] = F[404,x]*F[405,x]
F[404,x] = F[20,x]
F[405,x] = F[156,x]+F[406,x]
F[406,x] = F[407,x]
F[407,x] = -F[11,x]+F[408,x]
F[408,x] = F[335,x]+F[409,x]
F[409,x] = F[410,x]
F[410,x] = F[4,x]*F[411,x]
F[411,x] = 1/F[4,x]*F[412,x]
F[412,x] = F[413,x]
F[413,x] = -F[335,x]+F[414,x]
F[414,x] = F[11,x]+F[415,x]
F[415,x] = F[416,x]
F[416,x] = F[4,x]*F[417,x]
F[417,x] = 1/F[4,x]*F[418,x]
F[418,x] = F[419,x]
F[419,x] = 1/F[4,x]*F[420,x]
F[420,x] = -F[427,x]+F[421,x]
F[421,x] = F[422,x]
F[422,x] = F[4,x]*F[423,x]
F[423,x] = F[424,x]+F[426,x]
F[424,x] = F[183,x]+F[425,x]
F[425,x] = F[40,x]*F[51,x]
F[426,x] = F[159,x]*F[40,x]
F[427,x] = F[428,x]+F[429,x]
F[428,x] = F[40,x]*F[64,x]
F[429,x] = F[337,x]*F[4,x]
F[430,x] = F[431,x]
F[431,x] = F[4,x]*F[432,x]*F[450,x]
F[432,x] = F[433,x]+F[449,x]
F[433,x] = F[434,x]
F[434,x] = F[435,x]
F[435,x] = -F[446,x]+F[436,x]
F[436,x] = 1/F[4,x]*F[437,x]
F[437,x] = F[438,x]
F[438,x] = F[439,x]+F[442,x]
F[439,x] = F[21,x]+F[440,x]
F[440,x] = F[441,x]
F[441,x] = F[19,x]*F[396,x]*F[4,x]
F[442,x] = F[443,x]
F[443,x] = F[4,x]*F[444,x]
F[444,x] = F[445,x]
F[445,x] = F[183,x]*F[19,x]*F[4,x]
F[446,x] = F[366,x]+F[447,x]
F[447,x] = F[448,x]
F[448,x] = F[19,x]*F[325,x]*F[4,x]
F[449,x] = F[367,x]
F[450,x] = 1/F[4,x]/F[483,x]*F[451,x]
F[451,x] = F[452,x]
F[452,x] = -F[482,x]+F[453,x]
F[453,x] = F[454,x]+F[457,x]
F[454,x] = F[455,x]
F[455,x] = F[393,x]*F[456,x]
F[456,x] = F[21,x]+F[394,x]
F[457,x] = F[397,x]+F[458,x]
F[458,x] = -F[480,x]+F[459,x]
F[459,x] = 1/F[50,x]*F[460,x]
F[460,x] = -F[473,x]+F[461,x]
F[461,x] = 1/F[4,x]*F[462,x]
F[462,x] = F[463,x]
F[463,x] = -F[333,x]+F[464,x]
F[464,x] = F[409,x]+F[465,x]
F[465,x] = F[466,x]
F[466,x] = F[4,x]*F[467,x]
F[467,x] = F[468,x]+F[472,x]
F[468,x] = F[469,x]*F[50,x]
F[469,x] = -F[470,x]+F[405,x]
F[470,x] = F[471,x]+F[50,x]
F[471,x] = F[108,x]
F[472,x] = F[111,x]*F[53,x]
F[473,x] = F[474,x]
F[474,x] = F[472,x]+F[475,x]
F[475,x] = F[476,x]*F[49,x]
F[476,x] = F[477,x]
F[477,x] = F[4,x]*F[478,x]*F[50,x]
F[478,x] = F[337,x]+F[479,x]
F[479,x] = F[41,x]*F[50,x]
F[480,x] = F[481,x]
F[481,x] = F[21,x]*F[393,x]
F[482,x] = F[235,x]*F[469,x]
F[483,x] = F[364,x]+F[484,x]
F[484,x] = -F[485,x]+F[387,x]
F[485,x] = -F[490,x]+F[486,x]
F[486,x] = F[487,x]+F[488,x]
F[487,x] = F[156,x]*F[4,x]
F[488,x] = F[489,x]
F[489,x] = F[165,x]*F[387,x]*F[4,x]
F[490,x] = F[491,x]
F[491,x] = -F[496,x]+F[492,x]
F[492,x] = F[397,x]+F[493,x]
F[493,x] = F[494,x]
F[494,x] = F[393,x]*F[495,x]
F[495,x] = F[394,x]+F[4,x]
F[496,x] = -F[497,x]+F[380,x]
F[497,x] = -F[500,x]+F[498,x]
F[498,x] = 1/F[4,x]*F[499,x]
F[499,x] = F[384,x]
F[500,x] = -F[501,x]+F[389,x]
F[501,x] = F[502,x]
F[502,x] = -F[503,x]+F[488,x]
F[503,x] = -F[383,x]+F[504,x]
F[504,x] = F[382,x]+F[394,x]
F[505,x] = F[506,x]
F[506,x] = F[393,x]*F[90,x]
F[507,x] = F[4,x]*F[469,x]
F[508,x] = F[509,x]
F[509,x] = F[374,x]*F[4,x]*F[510,x]
F[510,x] = F[18,x]+F[2,x]
F[511,x] = -F[485,x]+F[512,x]
F[512,x] = F[367,x]+F[434,x]
F[513,x] = F[514,x]
F[514,x] = F[354,x]*F[484,x]
F[515,x] = F[516,x]*F[517,x]
F[516,x] = F[159,x]+F[284,x]
F[517,x] = F[156,x]+F[518,x]
F[518,x] = F[519,x]
F[519,x] = F[165,x]*F[325,x]*F[4,x]
F[520,x] = F[276,x]*F[517,x]
F[521,x] = F[522,x]+F[524,x]
F[522,x] = F[517,x]*F[523,x]
F[523,x] = F[235,x]+F[273,x]
F[524,x] = F[40,x]*F[486,x]
F[525,x] = 1/F[4,x]*F[526,x]
F[526,x] = F[407,x]
F[527,x] = F[143,x]
F[528,x] = F[529,x]
F[529,x] = F[4,x]*F[49,x]*F[90,x]
F[530,x] = F[531,x]
F[531,x] = F[11,x]*F[49,x]*F[64,x]
F[532,x] = F[533,x]+F[535,x]
F[533,x] = F[534,x]
F[534,x] = F[4,x]*F[49,x]*F[89,x]
F[535,x] = F[536,x]
F[536,x] = F[11,x]*F[51,x]*F[537,x]
F[537,x] = F[159,x]+F[304,x]
F[538,x] = F[539,x]+F[67,x]
F[539,x] = F[64,x]+F[69,x]
F[540,x] = -F[67,x]+F[141,x]
F[541,x] = F[542,x]
F[542,x] = F[4,x]*F[543,x]
F[543,x] = F[544,x]+F[643,x]
F[544,x] = F[545,x]
F[545,x] = F[4,x]*F[546,x]
F[546,x] = F[547,x]+F[628,x]
F[547,x] = F[165,x]*F[548,x]
F[548,x] = 1/F[4,x]*F[549,x]
F[549,x] = F[550,x]
F[550,x] = F[551,x]+F[618,x]
F[551,x] = F[552,x]+F[64,x]
F[552,x] = F[553,x]
F[553,x] = F[4,x]*F[554,x]
F[554,x] = F[550,x]+F[555,x]
F[555,x] = -F[556,x]+F[8,x]
F[556,x] = -F[559,x]+F[557,x]
F[557,x] = 1/F[4,x]*F[558,x]
F[558,x] = F[6,x]
F[559,x] = F[560,x]+F[613,x]
F[560,x] = -F[10,x]+F[561,x]
F[561,x] = -F[564,x]+F[562,x]
F[562,x] = 1/F[4,x]*F[563,x]
F[563,x] = F[31,x]
F[564,x] = F[565,x]
F[565,x] = F[4,x]*F[566,x]
F[566,x] = F[567,x]+F[609,x]
F[567,x] = F[568,x]+F[574,x]
F[568,x] = F[414,x]*F[569,x]
F[569,x] = F[10,x]+F[570,x]
F[570,x] = F[571,x]
F[571,x] = -F[556,x]+F[572,x]
F[572,x] = 1/F[4,x]*F[573,x]
F[573,x] = F[551,x]
F[574,x] = F[575,x]+F[606,x]
F[575,x] = F[576,x]
F[576,x] = -F[586,x]+F[577,x]
F[577,x] = 1/F[4,x]*F[578,x]
F[578,x] = F[579,x]
F[579,x] = -F[12,x]+F[580,x]
F[580,x] = F[581,x]
F[581,x] = F[4,x]*F[582,x]
F[582,x] = F[583,x]+F[584,x]
F[583,x] = F[26,x]*F[39,x]
F[584,x] = F[585,x]
F[585,x] = F[39,x]*F[4,x]*F[582,x]
F[586,x] = F[587,x]+F[588,x]
F[587,x] = F[12,x]*F[414,x]
F[588,x] = F[589,x]
F[589,x] = F[4,x]*F[580,x]*F[590,x]
F[590,x] = 1/F[4,x]/F[592,x]*F[591,x]
F[591,x] = F[574,x]
F[592,x] = F[593,x]+F[596,x]
F[593,x] = F[26,x]+F[594,x]
F[594,x] = F[595,x]
F[595,x] = F[25,x]*F[4,x]*F[40,x]
F[596,x] = F[597,x]
F[597,x] = -F[601,x]+F[598,x]
F[598,x] = 1/F[4,x]*F[599,x]
F[599,x] = F[600,x]
F[600,x] = -F[22,x]+F[555,x]
F[601,x] = F[602,x]+F[604,x]
F[602,x] = F[603,x]
F[603,x] = F[4,x]*F[40,x]*F[548,x]
F[604,x] = F[605,x]
F[605,x] = F[40,x]*F[600,x]
F[606,x] = F[607,x]
F[607,x] = F[4,x]*F[590,x]*F[608,x]
F[608,x] = F[594,x]+F[596,x]
F[609,x] = F[610,x]
F[610,x] = F[611,x]
F[611,x] = F[4,x]*F[590,x]*F[612,x]
F[612,x] = F[564,x]+F[569,x]
F[613,x] = F[614,x]
F[614,x] = F[4,x]*F[615,x]
F[615,x] = F[601,x]+F[616,x]
F[616,x] = F[617,x]
F[617,x] = F[24,x]*F[4,x]*F[40,x]
F[618,x] = -F[6,x]+F[619,x]
F[619,x] = -F[622,x]+F[620,x]
F[620,x] = 1/F[4,x]*F[621,x]
F[621,x] = F[103,x]
F[622,x] = -F[625,x]+F[623,x]
F[623,x] = 1/F[4,x]*F[624,x]
F[624,x] = F[127,x]
F[625,x] = F[5,x]+F[626,x]
F[626,x] = -F[627,x]+F[556,x]
F[627,x] = F[0,x]+F[551,x]
F[628,x] = F[239,x]*F[629,x]
F[629,x] = -F[641,x]+F[630,x]
F[630,x] = F[525,x]+F[631,x]
F[631,x] = 1/F[4,x]*F[632,x]
F[632,x] = F[633,x]
F[633,x] = F[634,x]
F[634,x] = F[4,x]*F[635,x]
F[635,x] = -F[638,x]+F[636,x]
F[636,x] = 1/F[4,x]*F[637,x]
F[637,x] = F[579,x]
F[638,x] = F[195,x]+F[639,x]
F[639,x] = F[640,x]
F[640,x] = F[27,x]*F[4,x]*F[49,x]
F[641,x] = F[642,x]
F[642,x] = F[4,x]*F[49,x]*F[629,x]
F[643,x] = F[644,x]
F[644,x] = F[4,x]*F[645,x]
F[645,x] = F[646,x]+F[732,x]
F[646,x] = F[165,x]*F[647,x]
F[647,x] = F[648,x]+F[728,x]
F[648,x] = -F[651,x]+F[649,x]
F[649,x] = 1/F[4,x]*F[650,x]
F[650,x] = F[559,x]
F[651,x] = F[652,x]
F[652,x] = F[653,x]+F[726,x]
F[653,x] = -F[684,x]+F[654,x]
F[654,x] = 1/F[4,x]*F[655,x]
F[655,x] = F[656,x]
F[656,x] = F[657,x]
F[657,x] = F[4,x]*F[658,x]
F[658,x] = F[659,x]+F[682,x]
F[659,x] = F[660,x]+F[662,x]
F[660,x] = F[408,x]+F[661,x]
F[661,x] = F[12,x]+F[633,x]
F[662,x] = 1/F[4,x]*F[663,x]
F[663,x] = F[664,x]
F[664,x] = -F[186,x]+F[665,x]
F[665,x] = F[666,x]
F[666,x] = F[4,x]*F[667,x]
F[667,x] = F[668,x]+F[677,x]
F[668,x] = F[669,x]+F[675,x]
F[669,x] = F[665,x]+F[670,x]
F[670,x] = F[50,x]+F[671,x]
F[671,x] = F[672,x]
F[672,x] = -F[0,x]+F[673,x]
F[673,x] = -F[665,x]+F[674,x]
F[674,x] = F[185,x]+F[656,x]
F[675,x] = F[676,x]
F[676,x] = F[34,x]*F[4,x]*F[669,x]
F[677,x] = F[678,x]+F[679,x]
F[678,x] = F[672,x]
F[679,x] = F[680,x]
F[680,x] = -F[681,x]+F[665,x]
F[681,x] = F[21,x]*F[50,x]
F[682,x] = F[683,x]
F[683,x] = F[25,x]*F[4,x]
F[684,x] = F[685,x]+F[724,x]
F[685,x] = F[670,x]+F[686,x]
F[686,x] = -F[671,x]+F[687,x]
F[687,x] = 1/F[159,x]*F[688,x]
F[688,x] = -F[702,x]+F[689,x]
F[689,x] = 1/F[4,x]*F[690,x]
F[690,x] = F[691,x]
F[691,x] = -F[701,x]+F[692,x]
F[692,x] = F[693,x]+F[694,x]
F[693,x] = F[7,x]
F[694,x] = F[695,x]
F[695,x] = F[4,x]*F[696,x]
F[696,x] = F[697,x]+F[700,x]
F[697,x] = F[50,x]*F[698,x]
F[698,x] = F[671,x]+F[699,x]
F[699,x] = F[552,x]
F[700,x] = F[159,x]*F[671,x]
F[701,x] = F[2,x]*F[67,x]
F[702,x] = F[50,x]*F[703,x]
F[703,x] = F[704,x]+F[707,x]
F[704,x] = F[705,x]
F[705,x] = F[21,x]*F[706,x]
F[706,x] = F[50,x]+F[64,x]
F[707,x] = F[708,x]+F[720,x]
F[708,x] = 1/F[414,x]*F[709,x]
F[709,x] = -F[574,x]+F[710,x]
F[710,x] = -F[715,x]+F[711,x]
F[711,x] = 1/F[4,x]*F[712,x]
F[712,x] = F[713,x]
F[713,x] = -F[714,x]+F[564,x]
F[714,x] = F[326,x]*F[50,x]
F[715,x] = F[716,x]
F[716,x] = -F[717,x]+F[610,x]
F[717,x] = F[50,x]*F[718,x]
F[718,x] = F[719,x]
F[719,x] = F[325,x]*F[4,x]*F[590,x]
F[720,x] = F[721,x]
F[721,x] = F[552,x]+F[722,x]
F[722,x] = -F[723,x]+F[618,x]
F[723,x] = F[21,x]*F[64,x]
F[724,x] = 1/F[4,x]*F[725,x]
F[725,x] = F[664,x]
F[726,x] = F[727,x]
F[727,x] = F[4,x]*F[40,x]*F[653,x]
F[728,x] = F[729,x]
F[729,x] = F[4,x]*F[40,x]*F[730,x]
F[730,x] = 1/F[4,x]/F[40,x]*F[731,x]
F[731,x] = F[652,x]
F[732,x] = F[733,x]
F[733,x] = F[239,x]*F[730,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_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{4}\! \left(x \right) = x
F_{5}\! \left(x \right) = F_{0}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{4}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{61}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{22}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{12}\! \left(x \right)
F_{11}\! \left(x \right) = x^{2} F_{11} \left(x \right)^{2}-2 x F_{11} \left(x \right)^{2}+F_{11}\! \left(x \right) x +2 F_{11}\! \left(x \right)-1
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right) F_{4}\! \left(x \right)
F_{14}\! \left(x \right) = \frac{F_{15}\! \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_{2}\! \left(x \right)
F_{17}\! \left(x \right) = -F_{21}\! \left(x \right)+F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = \frac{F_{20}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{20}\! \left(x \right) = F_{2}\! \left(x \right)
F_{21}\! \left(x \right) = x^{2} F_{21} \left(x \right)^{2}+2 x^{2} F_{21}\! \left(x \right)-2 x F_{21} \left(x \right)^{2}+x^{2}-3 x F_{21}\! \left(x \right)-x +2 F_{21}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right) F_{4}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)+F_{59}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)+F_{47}\! \left(x \right)
F_{26}\! \left(x \right) = F_{10}\! \left(x \right)+F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = -F_{32}\! \left(x \right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = \frac{F_{29}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = -F_{21}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{10}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{26}\! \left(x \right) F_{34}\! \left(x \right) F_{4}\! \left(x \right)
F_{34}\! \left(x \right) = \frac{F_{35}\! \left(x \right)}{F_{10}\! \left(x \right) F_{4}\! \left(x \right)}
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)+F_{45}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{10}\! \left(x \right) F_{39}\! \left(x \right) F_{4}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)+F_{43}\! \left(x \right)
F_{40}\! \left(x \right) = F_{1}\! \left(x \right)+F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{4}\! \left(x \right) F_{40}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{34}\! \left(x \right) F_{4}\! \left(x \right) F_{40}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{34}\! \left(x \right) F_{37}\! \left(x \right) F_{4}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{26}\! \left(x \right) F_{4}\! \left(x \right) F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)+F_{53}\! \left(x \right)
F_{50}\! \left(x \right) = F_{1}\! \left(x \right)+F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{4}\! \left(x \right) F_{50}\! \left(x \right)
F_{53}\! \left(x \right) = F_{41}\! \left(x \right)+F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)+F_{56}\! \left(x \right)+F_{58}\! \left(x \right)
F_{55}\! \left(x \right) = 0
F_{56}\! \left(x \right) = F_{4}\! \left(x \right) F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{51}\! \left(x \right)+F_{54}\! \left(x \right)
F_{58}\! \left(x \right) = F_{4}\! \left(x \right) F_{53}\! \left(x \right)
F_{59}\! \left(x \right) = F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{25}\! \left(x \right) F_{4}\! \left(x \right) F_{49}\! \left(x \right)
F_{61}\! \left(x \right) = F_{541}\! \left(x \right)+F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)+F_{80}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)+F_{69}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{4}\! \left(x \right) F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)+F_{68}\! \left(x \right)
F_{67}\! \left(x \right) = F_{1}\! \left(x \right)+F_{64}\! \left(x \right)
F_{68}\! \left(x \right) = F_{51}\! \left(x \right)
F_{69}\! \left(x \right) = F_{55}\! \left(x \right)+F_{70}\! \left(x \right)+F_{74}\! \left(x \right)
F_{70}\! \left(x \right) = F_{4}\! \left(x \right) F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{63}\! \left(x \right)+F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)+F_{77}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{4}\! \left(x \right) F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{4}\! \left(x \right)+F_{73}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{4}\! \left(x \right) F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{72}\! \left(x \right)
F_{80}\! \left(x \right) = -F_{540}\! \left(x \right)+F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = -F_{538}\! \left(x \right)+F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{83}\! \left(x \right)+F_{84}\! \left(x \right)
F_{83}\! \left(x \right) = F_{11}\! \left(x \right) F_{67}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{4}\! \left(x \right) F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{532}\! \left(x \right)+F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{530}\! \left(x \right)+F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{50}\! \left(x \right) F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{528}\! \left(x \right)+F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{11}\! \left(x \right)+F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = -F_{149}\! \left(x \right)+F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = -F_{95}\! \left(x \right)+F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = \frac{F_{94}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{94}\! \left(x \right) = F_{30}\! \left(x \right)
F_{95}\! \left(x \right) = -F_{96}\! \left(x \right)+F_{14}\! \left(x \right)
F_{96}\! \left(x \right) = -F_{99}\! \left(x \right)+F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = \frac{F_{98}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{98}\! \left(x \right) = F_{16}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)+F_{527}\! \left(x \right)
F_{100}\! \left(x \right) = -F_{124}\! \left(x \right)+F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = \frac{F_{102}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = -F_{104}\! \left(x \right)+F_{6}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right) F_{4}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right)+F_{67}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)+F_{115}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right) F_{4}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)+F_{50}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)+F_{4}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)+F_{114}\! \left(x \right)+F_{55}\! \left(x \right)
F_{113}\! \left(x \right) = F_{4}\! \left(x \right) F_{51}\! \left(x \right)
F_{114}\! \left(x \right) = F_{111}\! \left(x \right) F_{4}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)+F_{118}\! \left(x \right)+F_{55}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right) F_{4}\! \left(x \right)
F_{117}\! \left(x \right) = F_{64}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right) F_{4}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)+F_{123}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right)+F_{4}\! \left(x \right)
F_{121}\! \left(x \right) = F_{118}\! \left(x \right)+F_{122}\! \left(x \right)+F_{55}\! \left(x \right)
F_{122}\! \left(x \right) = F_{4}\! \left(x \right) F_{64}\! \left(x \right)
F_{123}\! \left(x \right) = F_{112}\! \left(x \right)
F_{124}\! \left(x \right) = -F_{128}\! \left(x \right)+F_{125}\! \left(x \right)
F_{125}\! \left(x \right) = \frac{F_{126}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = F_{103}\! \left(x \right)+F_{2}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)+F_{5}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right) F_{4}\! \left(x \right)
F_{131}\! \left(x \right) = \frac{F_{132}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)
F_{133}\! \left(x \right) = -F_{136}\! \left(x \right)+F_{134}\! \left(x \right)
F_{134}\! \left(x \right) = \frac{F_{135}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{135}\! \left(x \right) = F_{17}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right)+F_{151}\! \left(x \right)
F_{137}\! \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_{145}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)+F_{142}\! \left(x \right)
F_{141}\! \left(x \right) = F_{11}\! \left(x \right)+F_{137}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)+F_{91}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = F_{137}\! \left(x \right) F_{4}\! \left(x \right) F_{40}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right)+F_{149}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right)
F_{148}\! \left(x \right) = F_{4}\! \left(x \right) F_{89}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right)
F_{150}\! \left(x \right) = F_{147}\! \left(x \right) F_{4}\! \left(x \right) F_{40}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right) F_{4}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right)+F_{214}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)+F_{163}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right) F_{159}\! \left(x \right)
F_{156}\! \left(x \right) = F_{11}\! \left(x \right)+F_{157}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)
F_{158}\! \left(x \right) = F_{11}\! \left(x \right) F_{4}\! \left(x \right) F_{49}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right)+F_{4}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right)+F_{162}\! \left(x \right)+F_{55}\! \left(x \right)
F_{161}\! \left(x \right) = F_{159}\! \left(x \right) F_{4}\! \left(x \right)
F_{162}\! \left(x \right) = F_{4}\! \left(x \right) F_{51}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right)
F_{164}\! \left(x \right) = F_{153}\! \left(x \right) F_{165}\! \left(x \right) F_{4}\! \left(x \right)
F_{165}\! \left(x \right) = \frac{F_{166}\! \left(x \right)}{F_{10}\! \left(x \right) F_{4}\! \left(x \right)}
F_{166}\! \left(x \right) = F_{167}\! \left(x \right)
F_{167}\! \left(x \right) = -F_{156}\! \left(x \right)+F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right)+F_{170}\! \left(x \right)
F_{169}\! \left(x \right) = F_{0}\! \left(x \right) F_{50}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right) F_{4}\! \left(x \right) F_{50}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right)+F_{195}\! \left(x \right)
F_{173}\! \left(x \right) = F_{174}\! \left(x \right)+F_{212}\! \left(x \right)
F_{174}\! \left(x \right) = \frac{F_{175}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{175}\! \left(x \right) = -F_{197}\! \left(x \right)+F_{176}\! \left(x \right)
F_{176}\! \left(x \right) = -F_{194}\! \left(x \right)+F_{177}\! \left(x \right)
F_{177}\! \left(x \right) = \frac{F_{178}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{178}\! \left(x \right) = F_{179}\! \left(x \right)
F_{179}\! \left(x \right) = F_{180}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right) F_{4}\! \left(x \right)
F_{181}\! \left(x \right) = F_{182}\! \left(x \right)+F_{192}\! \left(x \right)
F_{182}\! \left(x \right) = F_{183}\! \left(x \right) F_{186}\! \left(x \right)
F_{183}\! \left(x \right) = -F_{36}\! \left(x \right)+F_{184}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x \right)+F_{190}\! \left(x \right)
F_{185}\! \left(x \right) = F_{0}\! \left(x \right)+F_{186}\! \left(x \right)
F_{186}\! \left(x \right) = F_{187}\! \left(x \right)
F_{187}\! \left(x \right) = F_{188}\! \left(x \right) F_{4}\! \left(x \right)
F_{188}\! \left(x \right) = F_{184}\! \left(x \right)+F_{189}\! \left(x \right)
F_{189}\! \left(x \right) = F_{38}\! \left(x \right)
F_{190}\! \left(x \right) = F_{179}\! \left(x \right)+F_{191}\! \left(x \right)
F_{191}\! \left(x \right) = F_{0}\! \left(x \right) F_{21}\! \left(x \right)
F_{192}\! \left(x \right) = F_{185}\! \left(x \right) F_{193}\! \left(x \right)
F_{193}\! \left(x \right) = -F_{183}\! \left(x \right)+F_{34}\! \left(x \right)
F_{194}\! \left(x \right) = F_{195}\! \left(x \right) F_{21}\! \left(x \right)
F_{195}\! \left(x \right) = F_{196}\! \left(x \right)
F_{196}\! \left(x \right) = F_{10}\! \left(x \right) F_{4}\! \left(x \right) F_{49}\! \left(x \right)
F_{197}\! \left(x \right) = F_{198}\! \left(x \right)
F_{198}\! \left(x \right) = -F_{208}\! \left(x \right)+F_{199}\! \left(x \right)
F_{199}\! \left(x \right) = -F_{202}\! \left(x \right)+F_{200}\! \left(x \right)
F_{200}\! \left(x \right) = \frac{F_{201}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{201}\! \left(x \right) = F_{179}\! \left(x \right)
F_{202}\! \left(x \right) = F_{203}\! \left(x \right) F_{21}\! \left(x \right)
F_{203}\! \left(x \right) = F_{204}\! \left(x \right)+F_{205}\! \left(x \right)
F_{204}\! \left(x \right) = F_{4}\! \left(x \right) F_{40}\! \left(x \right)
F_{205}\! \left(x \right) = F_{206}\! \left(x \right)
F_{206}\! \left(x \right) = F_{207}\! \left(x \right) F_{4}\! \left(x \right) F_{40}\! \left(x \right)
F_{207}\! \left(x \right) = F_{2}\! \left(x \right)+F_{31}\! \left(x \right)
F_{208}\! \left(x \right) = F_{209}\! \left(x \right) F_{21}\! \left(x \right)
F_{209}\! \left(x \right) = -F_{203}\! \left(x \right)+F_{210}\! \left(x \right)
F_{210}\! \left(x \right) = \frac{F_{211}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{211}\! \left(x \right) = F_{186}\! \left(x \right)
F_{212}\! \left(x \right) = F_{213}\! \left(x \right)
F_{213}\! \left(x \right) = -F_{185}\! \left(x \right)+F_{168}\! \left(x \right)
F_{214}\! \left(x \right) = F_{215}\! \left(x \right)+F_{237}\! \left(x \right)
F_{215}\! \left(x \right) = F_{216}\! \left(x \right) F_{50}\! \left(x \right)
F_{216}\! \left(x \right) = F_{159}\! \left(x \right)+F_{217}\! \left(x \right)
F_{217}\! \left(x \right) = \frac{F_{218}\! \left(x \right)}{F_{50}\! \left(x \right)}
F_{218}\! \left(x \right) = -F_{221}\! \left(x \right)+F_{219}\! \left(x \right)
F_{219}\! \left(x \right) = \frac{F_{220}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{220}\! \left(x \right) = F_{80}\! \left(x \right)
F_{221}\! \left(x \right) = F_{222}\! \left(x \right) F_{234}\! \left(x \right)
F_{222}\! \left(x \right) = \frac{F_{223}\! \left(x \right)}{F_{4}\! \left(x \right) F_{40}\! \left(x \right)}
F_{223}\! \left(x \right) = F_{224}\! \left(x \right)
F_{224}\! \left(x \right) = -F_{231}\! \left(x \right)+F_{225}\! \left(x \right)
F_{225}\! \left(x \right) = F_{226}\! \left(x \right)+F_{227}\! \left(x \right)
F_{226}\! \left(x \right) = F_{205}\! \left(x \right) F_{50}\! \left(x \right)
F_{227}\! \left(x \right) = -F_{230}\! \left(x \right)+F_{228}\! \left(x \right)
F_{228}\! \left(x \right) = F_{229}\! \left(x \right)
F_{229}\! \left(x \right) = F_{25}\! \left(x \right) F_{4}\! \left(x \right) F_{40}\! \left(x \right)
F_{230}\! \left(x \right) = F_{203}\! \left(x \right) F_{50}\! \left(x \right)
F_{231}\! \left(x \right) = -F_{232}\! \left(x \right)+F_{228}\! \left(x \right)
F_{232}\! \left(x \right) = F_{233}\! \left(x \right)
F_{233}\! \left(x \right) = F_{156}\! \left(x \right) F_{4}\! \left(x \right) F_{40}\! \left(x \right)
F_{234}\! \left(x \right) = F_{235}\! \left(x \right)+F_{236}\! \left(x \right)
F_{235}\! \left(x \right) = F_{1}\! \left(x \right)+F_{4}\! \left(x \right)
F_{236}\! \left(x \right) = F_{160}\! \left(x \right)+F_{51}\! \left(x \right)
F_{237}\! \left(x \right) = F_{238}\! \left(x \right)
F_{238}\! \left(x \right) = F_{239}\! \left(x \right) F_{4}\! \left(x \right) F_{525}\! \left(x \right)
F_{239}\! \left(x \right) = \frac{F_{240}\! \left(x \right)}{F_{325}\! \left(x \right) F_{4}\! \left(x \right)}
F_{240}\! \left(x \right) = F_{241}\! \left(x \right)
F_{241}\! \left(x \right) = -F_{216}\! \left(x \right)+F_{242}\! \left(x \right)
F_{242}\! \left(x \right) = \frac{F_{243}\! \left(x \right)}{F_{40}\! \left(x \right)}
F_{243}\! \left(x \right) = -F_{521}\! \left(x \right)+F_{244}\! \left(x \right)
F_{244}\! \left(x \right) = F_{245}\! \left(x \right)+F_{520}\! \left(x \right)
F_{245}\! \left(x \right) = F_{246}\! \left(x \right) F_{40}\! \left(x \right)
F_{246}\! \left(x \right) = \frac{F_{247}\! \left(x \right)}{F_{40}\! \left(x \right) F_{50}\! \left(x \right)}
F_{247}\! \left(x \right) = F_{248}\! \left(x \right)
F_{248}\! \left(x \right) = -F_{515}\! \left(x \right)+F_{249}\! \left(x \right)
F_{249}\! \left(x \right) = \frac{F_{250}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{250}\! \left(x \right) = F_{251}\! \left(x \right)
F_{251}\! \left(x \right) = F_{252}\! \left(x \right) F_{4}\! \left(x \right)
F_{252}\! \left(x \right) = F_{253}\! \left(x \right)+F_{513}\! \left(x \right)
F_{253}\! \left(x \right) = F_{254}\! \left(x \right)+F_{352}\! \left(x \right)
F_{254}\! \left(x \right) = F_{255}\! \left(x \right) F_{325}\! \left(x \right)
F_{255}\! \left(x \right) = F_{256}\! \left(x \right)+F_{271}\! \left(x \right)
F_{256}\! \left(x \right) = F_{234}\! \left(x \right)+F_{257}\! \left(x \right)
F_{257}\! \left(x \right) = F_{258}\! \left(x \right)
F_{258}\! \left(x \right) = F_{108}\! \left(x \right)+F_{259}\! \left(x \right)
F_{259}\! \left(x \right) = F_{260}\! \left(x \right)+F_{270}\! \left(x \right)+F_{55}\! \left(x \right)
F_{260}\! \left(x \right) = F_{261}\! \left(x \right) F_{4}\! \left(x \right)
F_{261}\! \left(x \right) = F_{159}\! \left(x \right)+F_{262}\! \left(x \right)
F_{262}\! \left(x \right) = F_{263}\! \left(x \right)+F_{266}\! \left(x \right)
F_{263}\! \left(x \right) = F_{264}\! \left(x \right)+F_{265}\! \left(x \right)+F_{55}\! \left(x \right)
F_{264}\! \left(x \right) = x^{2}
F_{265}\! \left(x \right) = x^{2}
F_{266}\! \left(x \right) = F_{267}\! \left(x \right)+F_{268}\! \left(x \right)+F_{269}\! \left(x \right)+F_{55}\! \left(x \right)
F_{267}\! \left(x \right) = F_{160}\! \left(x \right) F_{4}\! \left(x \right)
F_{268}\! \left(x \right) = F_{262}\! \left(x \right) F_{4}\! \left(x \right)
F_{269}\! \left(x \right) = F_{112}\! \left(x \right) F_{4}\! \left(x \right)
F_{270}\! \left(x \right) = F_{108}\! \left(x \right) F_{4}\! \left(x \right)
F_{271}\! \left(x \right) = F_{272}\! \left(x \right)+F_{286}\! \left(x \right)
F_{272}\! \left(x \right) = F_{273}\! \left(x \right)+F_{278}\! \left(x \right)
F_{273}\! \left(x \right) = F_{274}\! \left(x \right)+F_{41}\! \left(x \right)
F_{274}\! \left(x \right) = F_{275}\! \left(x \right)+F_{277}\! \left(x \right)+F_{55}\! \left(x \right)
F_{275}\! \left(x \right) = F_{276}\! \left(x \right) F_{4}\! \left(x \right)
F_{276}\! \left(x \right) = F_{274}\! \left(x \right)+F_{4}\! \left(x \right)
F_{277}\! \left(x \right) = F_{4}\! \left(x \right) F_{41}\! \left(x \right)
F_{278}\! \left(x \right) = F_{279}\! \left(x \right)+F_{282}\! \left(x \right)
F_{279}\! \left(x \right) = F_{280}\! \left(x \right)
F_{280}\! \left(x \right) = F_{281}\! \left(x \right) F_{4}\! \left(x \right)
F_{281}\! \left(x \right) = F_{279}\! \left(x \right)+F_{41}\! \left(x \right)
F_{282}\! \left(x \right) = 2 F_{55}\! \left(x \right)+F_{283}\! \left(x \right)+F_{285}\! \left(x \right)
F_{283}\! \left(x \right) = F_{284}\! \left(x \right) F_{4}\! \left(x \right)
F_{284}\! \left(x \right) = F_{274}\! \left(x \right)+F_{282}\! \left(x \right)
F_{285}\! \left(x \right) = F_{279}\! \left(x \right) F_{4}\! \left(x \right)
F_{286}\! \left(x \right) = F_{287}\! \left(x \right)
F_{287}\! \left(x \right) = F_{288}\! \left(x \right)+F_{299}\! \left(x \right)
F_{288}\! \left(x \right) = F_{289}\! \left(x \right)+F_{55}\! \left(x \right)+F_{56}\! \left(x \right)
F_{289}\! \left(x \right) = F_{290}\! \left(x \right) F_{4}\! \left(x \right)
F_{290}\! \left(x \right) = F_{291}\! \left(x \right)+F_{53}\! \left(x \right)
F_{291}\! \left(x \right) = F_{274}\! \left(x \right)+F_{292}\! \left(x \right)
F_{292}\! \left(x \right) = F_{293}\! \left(x \right)+F_{297}\! \left(x \right)+F_{298}\! \left(x \right)+F_{55}\! \left(x \right)
F_{293}\! \left(x \right) = F_{294}\! \left(x \right) F_{4}\! \left(x \right)
F_{294}\! \left(x \right) = F_{295}\! \left(x \right)+F_{296}\! \left(x \right)
F_{295}\! \left(x \right) = F_{113}\! \left(x \right)
F_{296}\! \left(x \right) = 2 F_{55}\! \left(x \right)+F_{293}\! \left(x \right)+F_{297}\! \left(x \right)
F_{297}\! \left(x \right) = F_{4}\! \left(x \right) F_{54}\! \left(x \right)
F_{298}\! \left(x \right) = F_{291}\! \left(x \right) F_{4}\! \left(x \right)
F_{299}\! \left(x \right) = F_{300}\! \left(x \right)+F_{306}\! \left(x \right)+F_{324}\! \left(x \right)+F_{55}\! \left(x \right)
F_{300}\! \left(x \right) = F_{301}\! \left(x \right) F_{4}\! \left(x \right)
F_{301}\! \left(x \right) = F_{160}\! \left(x \right)+F_{302}\! \left(x \right)
F_{302}\! \left(x \right) = F_{300}\! \left(x \right)+F_{303}\! \left(x \right)+F_{305}\! \left(x \right)+F_{55}\! \left(x \right)
F_{303}\! \left(x \right) = F_{304}\! \left(x \right) F_{4}\! \left(x \right)
F_{304}\! \left(x \right) = F_{274}\! \left(x \right)+F_{302}\! \left(x \right)
F_{305}\! \left(x \right) = F_{4}\! \left(x \right) F_{54}\! \left(x \right)
F_{306}\! \left(x \right) = F_{307}\! \left(x \right) F_{4}\! \left(x \right)
F_{307}\! \left(x \right) = F_{304}\! \left(x \right)+F_{308}\! \left(x \right)
F_{308}\! \left(x \right) = F_{309}\! \left(x \right)+F_{314}\! \left(x \right)
F_{309}\! \left(x \right) = F_{310}\! \left(x \right)+F_{312}\! \left(x \right)+F_{313}\! \left(x \right)+F_{55}\! \left(x \right)
F_{310}\! \left(x \right) = F_{311}\! \left(x \right) F_{4}\! \left(x \right)
F_{311}\! \left(x \right) = F_{263}\! \left(x \right)+F_{309}\! \left(x \right)
F_{312}\! \left(x \right) = F_{274}\! \left(x \right) F_{4}\! \left(x \right)
F_{313}\! \left(x \right) = F_{274}\! \left(x \right) F_{4}\! \left(x \right)
F_{314}\! \left(x \right) = F_{315}\! \left(x \right)+F_{320}\! \left(x \right)+F_{322}\! \left(x \right)+F_{323}\! \left(x \right)+F_{55}\! \left(x \right)
F_{315}\! \left(x \right) = F_{316}\! \left(x \right) F_{4}\! \left(x \right)
F_{316}\! \left(x \right) = F_{317}\! \left(x \right)+F_{319}\! \left(x \right)
F_{317}\! \left(x \right) = 2 F_{55}\! \left(x \right)+F_{267}\! \left(x \right)+F_{318}\! \left(x \right)
F_{318}\! \left(x \right) = F_{295}\! \left(x \right) F_{4}\! \left(x \right)
F_{319}\! \left(x \right) = 2 F_{55}\! \left(x \right)+F_{315}\! \left(x \right)+F_{320}\! \left(x \right)+F_{321}\! \left(x \right)
F_{320}\! \left(x \right) = F_{302}\! \left(x \right) F_{4}\! \left(x \right)
F_{321}\! \left(x \right) = F_{296}\! \left(x \right) F_{4}\! \left(x \right)
F_{322}\! \left(x \right) = F_{308}\! \left(x \right) F_{4}\! \left(x \right)
F_{323}\! \left(x \right) = F_{292}\! \left(x \right) F_{4}\! \left(x \right)
F_{324}\! \left(x \right) = F_{288}\! \left(x \right) F_{4}\! \left(x \right)
F_{325}\! \left(x \right) = F_{11}\! \left(x \right)+F_{326}\! \left(x \right)
F_{326}\! \left(x \right) = \frac{F_{327}\! \left(x \right)}{F_{64}\! \left(x \right)}
F_{327}\! \left(x \right) = -F_{349}\! \left(x \right)+F_{328}\! \left(x \right)
F_{328}\! \left(x \right) = F_{329}\! \left(x \right)
F_{329}\! \left(x \right) = F_{330}\! \left(x \right) F_{4}\! \left(x \right)
F_{330}\! \left(x \right) = \frac{F_{331}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{331}\! \left(x \right) = F_{332}\! \left(x \right)
F_{332}\! \left(x \right) = F_{333}\! \left(x \right)+F_{338}\! \left(x \right)
F_{333}\! \left(x \right) = F_{334}\! \left(x \right)+F_{336}\! \left(x \right)
F_{334}\! \left(x \right) = F_{335}\! \left(x \right) F_{41}\! \left(x \right)
F_{335}\! \left(x \right) = F_{1}\! \left(x \right)+F_{108}\! \left(x \right)
F_{336}\! \left(x \right) = F_{337}\! \left(x \right) F_{50}\! \left(x \right)
F_{337}\! \left(x \right) = x^{5} F_{337} \left(x \right)^{2}-5 x^{4} F_{337} \left(x \right)^{2}-x^{4} F_{337}\! \left(x \right)+9 x^{3} F_{337} \left(x \right)^{2}+6 x^{3} F_{337}\! \left(x \right)-7 x^{2} F_{337} \left(x \right)^{2}-x^{3}-10 x^{2} F_{337}\! \left(x \right)+2 x F_{337} \left(x \right)^{2}+x^{2}+6 F_{337}\! \left(x \right) x
F_{338}\! \left(x \right) = F_{339}\! \left(x \right)
F_{339}\! \left(x \right) = F_{340}\! \left(x \right) F_{4}\! \left(x \right)
F_{340}\! \left(x \right) = F_{341}\! \left(x \right)+F_{348}\! \left(x \right)
F_{341}\! \left(x \right) = F_{342}\! \left(x \right)+F_{347}\! \left(x \right)
F_{342}\! \left(x \right) = F_{343}\! \left(x \right) F_{41}\! \left(x \right)
F_{343}\! \left(x \right) = F_{234}\! \left(x \right)+F_{344}\! \left(x \right)
F_{344}\! \left(x \right) = F_{345}\! \left(x \right)+F_{346}\! \left(x \right)
F_{345}\! \left(x \right) = F_{263}\! \left(x \right)+F_{4}\! \left(x \right)
F_{346}\! \left(x \right) = F_{112}\! \left(x \right)+F_{266}\! \left(x \right)
F_{347}\! \left(x \right) = F_{234}\! \left(x \right) F_{337}\! \left(x \right)
F_{348}\! \left(x \right) = F_{234}\! \left(x \right) F_{4}\! \left(x \right) F_{41}\! \left(x \right)
F_{349}\! \left(x \right) = F_{350}\! \left(x \right)+F_{351}\! \left(x \right)
F_{350}\! \left(x \right) = F_{104}\! \left(x \right) F_{40}\! \left(x \right)
F_{351}\! \left(x \right) = F_{337}\! \left(x \right) F_{64}\! \left(x \right)
F_{352}\! \left(x \right) = F_{353}\! \left(x \right)
F_{353}\! \left(x \right) = F_{354}\! \left(x \right) F_{485}\! \left(x \right)
F_{354}\! \left(x \right) = \frac{F_{355}\! \left(x \right)}{F_{363}\! \left(x \right)}
F_{355}\! \left(x \right) = F_{356}\! \left(x \right)
F_{356}\! \left(x \right) = -F_{357}\! \left(x \right)+F_{252}\! \left(x \right)
F_{357}\! \left(x \right) = F_{325}\! \left(x \right) F_{358}\! \left(x \right)
F_{358}\! \left(x \right) = F_{359}\! \left(x \right)+F_{361}\! \left(x \right)
F_{359}\! \left(x \right) = F_{159}\! \left(x \right)+F_{360}\! \left(x \right)
F_{360}\! \left(x \right) = F_{259}\! \left(x \right)
F_{361}\! \left(x \right) = F_{284}\! \left(x \right)+F_{362}\! \left(x \right)
F_{362}\! \left(x \right) = F_{299}\! \left(x \right)
F_{363}\! \left(x \right) = F_{364}\! \left(x \right)+F_{484}\! \left(x \right)
F_{364}\! \left(x \right) = -F_{511}\! \left(x \right)+F_{365}\! \left(x \right)
F_{365}\! \left(x \right) = F_{366}\! \left(x \right)+F_{434}\! \left(x \right)
F_{366}\! \left(x \right) = F_{325}\! \left(x \right)+F_{367}\! \left(x \right)
F_{367}\! \left(x \right) = F_{368}\! \left(x \right)+F_{369}\! \left(x \right)
F_{368}\! \left(x \right) = F_{11}\! \left(x \right) F_{2}\! \left(x \right)
F_{369}\! \left(x \right) = F_{370}\! \left(x \right)
F_{370}\! \left(x \right) = F_{19}\! \left(x \right) F_{371}\! \left(x \right) F_{4}\! \left(x \right)
F_{371}\! \left(x \right) = F_{326}\! \left(x \right)+F_{372}\! \left(x \right)
F_{372}\! \left(x \right) = F_{373}\! \left(x \right)
F_{373}\! \left(x \right) = F_{374}\! \left(x \right) F_{4}\! \left(x \right)
F_{374}\! \left(x \right) = \frac{F_{375}\! \left(x \right)}{F_{19}\! \left(x \right) F_{4}\! \left(x \right)}
F_{375}\! \left(x \right) = F_{376}\! \left(x \right)
F_{376}\! \left(x \right) = F_{377}\! \left(x \right)+F_{508}\! \left(x \right)
F_{377}\! \left(x \right) = -F_{380}\! \left(x \right)+F_{378}\! \left(x \right)
F_{378}\! \left(x \right) = \frac{F_{379}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{379}\! \left(x \right) = F_{151}\! \left(x \right)
F_{380}\! \left(x \right) = \frac{F_{381}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{381}\! \left(x \right) = F_{382}\! \left(x \right)
F_{382}\! \left(x \right) = F_{383}\! \left(x \right)+F_{384}\! \left(x \right)
F_{383}\! \left(x \right) = F_{21}\! \left(x \right) F_{4}\! \left(x \right)
F_{384}\! \left(x \right) = F_{385}\! \left(x \right)
F_{385}\! \left(x \right) = F_{386}\! \left(x \right) F_{387}\! \left(x \right) F_{4}\! \left(x \right)
F_{386}\! \left(x \right) = F_{41}\! \left(x \right)+F_{43}\! \left(x \right)
F_{387}\! \left(x \right) = \frac{F_{388}\! \left(x \right)}{F_{4}\! \left(x \right) F_{450}\! \left(x \right)}
F_{388}\! \left(x \right) = F_{389}\! \left(x \right)
F_{389}\! \left(x \right) = -F_{507}\! \left(x \right)+F_{390}\! \left(x \right)
F_{390}\! \left(x \right) = F_{391}\! \left(x \right)+F_{397}\! \left(x \right)
F_{391}\! \left(x \right) = F_{392}\! \left(x \right)
F_{392}\! \left(x \right) = F_{393}\! \left(x \right) F_{394}\! \left(x \right)
F_{393}\! \left(x \right) = F_{335}\! \left(x \right)+F_{51}\! \left(x \right)
F_{394}\! \left(x \right) = F_{395}\! \left(x \right)
F_{395}\! \left(x \right) = F_{396}\! \left(x \right) F_{4}\! \left(x \right)
F_{396}\! \left(x \right) = F_{21}\! \left(x \right)+F_{91}\! \left(x \right)
F_{397}\! \left(x \right) = F_{398}\! \left(x \right)
F_{398}\! \left(x \right) = F_{399}\! \left(x \right) F_{4}\! \left(x \right)
F_{399}\! \left(x \right) = -F_{505}\! \left(x \right)+F_{400}\! \left(x \right)
F_{400}\! \left(x \right) = \frac{F_{401}\! \left(x \right)}{F_{19}\! \left(x \right) F_{4}\! \left(x \right)}
F_{401}\! \left(x \right) = F_{402}\! \left(x \right)
F_{402}\! \left(x \right) = F_{403}\! \left(x \right)+F_{430}\! \left(x \right)
F_{403}\! \left(x \right) = F_{404}\! \left(x \right) F_{405}\! \left(x \right)
F_{404}\! \left(x \right) = F_{20}\! \left(x \right)
F_{405}\! \left(x \right) = F_{156}\! \left(x \right)+F_{406}\! \left(x \right)
F_{406}\! \left(x \right) = F_{407}\! \left(x \right)
F_{407}\! \left(x \right) = -F_{11}\! \left(x \right)+F_{408}\! \left(x \right)
F_{408}\! \left(x \right) = F_{335}\! \left(x \right)+F_{409}\! \left(x \right)
F_{409}\! \left(x \right) = F_{410}\! \left(x \right)
F_{410}\! \left(x \right) = F_{4}\! \left(x \right) F_{411}\! \left(x \right)
F_{411}\! \left(x \right) = \frac{F_{412}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{412}\! \left(x \right) = F_{413}\! \left(x \right)
F_{413}\! \left(x \right) = -F_{335}\! \left(x \right)+F_{414}\! \left(x \right)
F_{414}\! \left(x \right) = F_{11}\! \left(x \right)+F_{415}\! \left(x \right)
F_{415}\! \left(x \right) = F_{416}\! \left(x \right)
F_{416}\! \left(x \right) = F_{4}\! \left(x \right) F_{417}\! \left(x \right)
F_{417}\! \left(x \right) = \frac{F_{418}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{418}\! \left(x \right) = F_{419}\! \left(x \right)
F_{419}\! \left(x \right) = \frac{F_{420}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{420}\! \left(x \right) = -F_{427}\! \left(x \right)+F_{421}\! \left(x \right)
F_{421}\! \left(x \right) = F_{422}\! \left(x \right)
F_{422}\! \left(x \right) = F_{4}\! \left(x \right) F_{423}\! \left(x \right)
F_{423}\! \left(x \right) = F_{424}\! \left(x \right)+F_{426}\! \left(x \right)
F_{424}\! \left(x \right) = F_{183}\! \left(x \right)+F_{425}\! \left(x \right)
F_{425}\! \left(x \right) = F_{40}\! \left(x \right) F_{51}\! \left(x \right)
F_{426}\! \left(x \right) = F_{159}\! \left(x \right) F_{40}\! \left(x \right)
F_{427}\! \left(x \right) = F_{428}\! \left(x \right)+F_{429}\! \left(x \right)
F_{428}\! \left(x \right) = F_{40}\! \left(x \right) F_{64}\! \left(x \right)
F_{429}\! \left(x \right) = F_{337}\! \left(x \right) F_{4}\! \left(x \right)
F_{430}\! \left(x \right) = F_{431}\! \left(x \right)
F_{431}\! \left(x \right) = F_{4}\! \left(x \right) F_{432}\! \left(x \right) F_{450}\! \left(x \right)
F_{432}\! \left(x \right) = F_{433}\! \left(x \right)+F_{449}\! \left(x \right)
F_{433}\! \left(x \right) = F_{434}\! \left(x \right)
F_{434}\! \left(x \right) = F_{435}\! \left(x \right)
F_{435}\! \left(x \right) = -F_{446}\! \left(x \right)+F_{436}\! \left(x \right)
F_{436}\! \left(x \right) = \frac{F_{437}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{437}\! \left(x \right) = F_{438}\! \left(x \right)
F_{438}\! \left(x \right) = F_{439}\! \left(x \right)+F_{442}\! \left(x \right)
F_{439}\! \left(x \right) = F_{21}\! \left(x \right)+F_{440}\! \left(x \right)
F_{440}\! \left(x \right) = F_{441}\! \left(x \right)
F_{441}\! \left(x \right) = F_{19}\! \left(x \right) F_{396}\! \left(x \right) F_{4}\! \left(x \right)
F_{442}\! \left(x \right) = F_{443}\! \left(x \right)
F_{443}\! \left(x \right) = F_{4}\! \left(x \right) F_{444}\! \left(x \right)
F_{444}\! \left(x \right) = F_{445}\! \left(x \right)
F_{445}\! \left(x \right) = F_{183}\! \left(x \right) F_{19}\! \left(x \right) F_{4}\! \left(x \right)
F_{446}\! \left(x \right) = F_{366}\! \left(x \right)+F_{447}\! \left(x \right)
F_{447}\! \left(x \right) = F_{448}\! \left(x \right)
F_{448}\! \left(x \right) = F_{19}\! \left(x \right) F_{325}\! \left(x \right) F_{4}\! \left(x \right)
F_{449}\! \left(x \right) = F_{367}\! \left(x \right)
F_{450}\! \left(x \right) = \frac{F_{451}\! \left(x \right)}{F_{4}\! \left(x \right) F_{483}\! \left(x \right)}
F_{451}\! \left(x \right) = F_{452}\! \left(x \right)
F_{452}\! \left(x \right) = -F_{482}\! \left(x \right)+F_{453}\! \left(x \right)
F_{453}\! \left(x \right) = F_{454}\! \left(x \right)+F_{457}\! \left(x \right)
F_{454}\! \left(x \right) = F_{455}\! \left(x \right)
F_{455}\! \left(x \right) = F_{393}\! \left(x \right) F_{456}\! \left(x \right)
F_{456}\! \left(x \right) = F_{21}\! \left(x \right)+F_{394}\! \left(x \right)
F_{457}\! \left(x \right) = F_{397}\! \left(x \right)+F_{458}\! \left(x \right)
F_{458}\! \left(x \right) = -F_{480}\! \left(x \right)+F_{459}\! \left(x \right)
F_{459}\! \left(x \right) = \frac{F_{460}\! \left(x \right)}{F_{50}\! \left(x \right)}
F_{460}\! \left(x \right) = -F_{473}\! \left(x \right)+F_{461}\! \left(x \right)
F_{461}\! \left(x \right) = \frac{F_{462}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{462}\! \left(x \right) = F_{463}\! \left(x \right)
F_{463}\! \left(x \right) = -F_{333}\! \left(x \right)+F_{464}\! \left(x \right)
F_{464}\! \left(x \right) = F_{409}\! \left(x \right)+F_{465}\! \left(x \right)
F_{465}\! \left(x \right) = F_{466}\! \left(x \right)
F_{466}\! \left(x \right) = F_{4}\! \left(x \right) F_{467}\! \left(x \right)
F_{467}\! \left(x \right) = F_{468}\! \left(x \right)+F_{472}\! \left(x \right)
F_{468}\! \left(x \right) = F_{469}\! \left(x \right) F_{50}\! \left(x \right)
F_{469}\! \left(x \right) = -F_{470}\! \left(x \right)+F_{405}\! \left(x \right)
F_{470}\! \left(x \right) = F_{471}\! \left(x \right)+F_{50}\! \left(x \right)
F_{471}\! \left(x \right) = F_{108}\! \left(x \right)
F_{472}\! \left(x \right) = F_{111}\! \left(x \right) F_{53}\! \left(x \right)
F_{473}\! \left(x \right) = F_{474}\! \left(x \right)
F_{474}\! \left(x \right) = F_{472}\! \left(x \right)+F_{475}\! \left(x \right)
F_{475}\! \left(x \right) = F_{476}\! \left(x \right) F_{49}\! \left(x \right)
F_{476}\! \left(x \right) = F_{477}\! \left(x \right)
F_{477}\! \left(x \right) = F_{4}\! \left(x \right) F_{478}\! \left(x \right) F_{50}\! \left(x \right)
F_{478}\! \left(x \right) = F_{337}\! \left(x \right)+F_{479}\! \left(x \right)
F_{479}\! \left(x \right) = F_{41}\! \left(x \right) F_{50}\! \left(x \right)
F_{480}\! \left(x \right) = F_{481}\! \left(x \right)
F_{481}\! \left(x \right) = F_{21}\! \left(x \right) F_{393}\! \left(x \right)
F_{482}\! \left(x \right) = F_{235}\! \left(x \right) F_{469}\! \left(x \right)
F_{483}\! \left(x \right) = F_{364}\! \left(x \right)+F_{484}\! \left(x \right)
F_{484}\! \left(x \right) = -F_{485}\! \left(x \right)+F_{387}\! \left(x \right)
F_{485}\! \left(x \right) = -F_{490}\! \left(x \right)+F_{486}\! \left(x \right)
F_{486}\! \left(x \right) = F_{487}\! \left(x \right)+F_{488}\! \left(x \right)
F_{487}\! \left(x \right) = F_{156}\! \left(x \right) F_{4}\! \left(x \right)
F_{488}\! \left(x \right) = F_{489}\! \left(x \right)
F_{489}\! \left(x \right) = F_{165}\! \left(x \right) F_{387}\! \left(x \right) F_{4}\! \left(x \right)
F_{490}\! \left(x \right) = F_{491}\! \left(x \right)
F_{491}\! \left(x \right) = -F_{496}\! \left(x \right)+F_{492}\! \left(x \right)
F_{492}\! \left(x \right) = F_{397}\! \left(x \right)+F_{493}\! \left(x \right)
F_{493}\! \left(x \right) = F_{494}\! \left(x \right)
F_{494}\! \left(x \right) = F_{393}\! \left(x \right) F_{495}\! \left(x \right)
F_{495}\! \left(x \right) = F_{394}\! \left(x \right)+F_{4}\! \left(x \right)
F_{496}\! \left(x \right) = -F_{497}\! \left(x \right)+F_{380}\! \left(x \right)
F_{497}\! \left(x \right) = -F_{500}\! \left(x \right)+F_{498}\! \left(x \right)
F_{498}\! \left(x \right) = \frac{F_{499}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{499}\! \left(x \right) = F_{384}\! \left(x \right)
F_{500}\! \left(x \right) = -F_{501}\! \left(x \right)+F_{389}\! \left(x \right)
F_{501}\! \left(x \right) = F_{502}\! \left(x \right)
F_{502}\! \left(x \right) = -F_{503}\! \left(x \right)+F_{488}\! \left(x \right)
F_{503}\! \left(x \right) = -F_{383}\! \left(x \right)+F_{504}\! \left(x \right)
F_{504}\! \left(x \right) = F_{382}\! \left(x \right)+F_{394}\! \left(x \right)
F_{505}\! \left(x \right) = F_{506}\! \left(x \right)
F_{506}\! \left(x \right) = F_{393}\! \left(x \right) F_{90}\! \left(x \right)
F_{507}\! \left(x \right) = F_{4}\! \left(x \right) F_{469}\! \left(x \right)
F_{508}\! \left(x \right) = F_{509}\! \left(x \right)
F_{509}\! \left(x \right) = F_{374}\! \left(x \right) F_{4}\! \left(x \right) F_{510}\! \left(x \right)
F_{510}\! \left(x \right) = F_{18}\! \left(x \right)+F_{2}\! \left(x \right)
F_{511}\! \left(x \right) = -F_{485}\! \left(x \right)+F_{512}\! \left(x \right)
F_{512}\! \left(x \right) = F_{367}\! \left(x \right)+F_{434}\! \left(x \right)
F_{513}\! \left(x \right) = F_{514}\! \left(x \right)
F_{514}\! \left(x \right) = F_{354}\! \left(x \right) F_{484}\! \left(x \right)
F_{515}\! \left(x \right) = F_{516}\! \left(x \right) F_{517}\! \left(x \right)
F_{516}\! \left(x \right) = F_{159}\! \left(x \right)+F_{284}\! \left(x \right)
F_{517}\! \left(x \right) = F_{156}\! \left(x \right)+F_{518}\! \left(x \right)
F_{518}\! \left(x \right) = F_{519}\! \left(x \right)
F_{519}\! \left(x \right) = F_{165}\! \left(x \right) F_{325}\! \left(x \right) F_{4}\! \left(x \right)
F_{520}\! \left(x \right) = F_{276}\! \left(x \right) F_{517}\! \left(x \right)
F_{521}\! \left(x \right) = F_{522}\! \left(x \right)+F_{524}\! \left(x \right)
F_{522}\! \left(x \right) = F_{517}\! \left(x \right) F_{523}\! \left(x \right)
F_{523}\! \left(x \right) = F_{235}\! \left(x \right)+F_{273}\! \left(x \right)
F_{524}\! \left(x \right) = F_{40}\! \left(x \right) F_{486}\! \left(x \right)
F_{525}\! \left(x \right) = \frac{F_{526}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{526}\! \left(x \right) = F_{407}\! \left(x \right)
F_{527}\! \left(x \right) = F_{143}\! \left(x \right)
F_{528}\! \left(x \right) = F_{529}\! \left(x \right)
F_{529}\! \left(x \right) = F_{4}\! \left(x \right) F_{49}\! \left(x \right) F_{90}\! \left(x \right)
F_{530}\! \left(x \right) = F_{531}\! \left(x \right)
F_{531}\! \left(x \right) = F_{11}\! \left(x \right) F_{49}\! \left(x \right) F_{64}\! \left(x \right)
F_{532}\! \left(x \right) = F_{533}\! \left(x \right)+F_{535}\! \left(x \right)
F_{533}\! \left(x \right) = F_{534}\! \left(x \right)
F_{534}\! \left(x \right) = F_{4}\! \left(x \right) F_{49}\! \left(x \right) F_{89}\! \left(x \right)
F_{535}\! \left(x \right) = F_{536}\! \left(x \right)
F_{536}\! \left(x \right) = F_{11}\! \left(x \right) F_{51}\! \left(x \right) F_{537}\! \left(x \right)
F_{537}\! \left(x \right) = F_{159}\! \left(x \right)+F_{304}\! \left(x \right)
F_{538}\! \left(x \right) = F_{539}\! \left(x \right)+F_{67}\! \left(x \right)
F_{539}\! \left(x \right) = F_{64}\! \left(x \right)+F_{69}\! \left(x \right)
F_{540}\! \left(x \right) = -F_{67}\! \left(x \right)+F_{141}\! \left(x \right)
F_{541}\! \left(x \right) = F_{542}\! \left(x \right)
F_{542}\! \left(x \right) = F_{4}\! \left(x \right) F_{543}\! \left(x \right)
F_{543}\! \left(x \right) = F_{544}\! \left(x \right)+F_{643}\! \left(x \right)
F_{544}\! \left(x \right) = F_{545}\! \left(x \right)
F_{545}\! \left(x \right) = F_{4}\! \left(x \right) F_{546}\! \left(x \right)
F_{546}\! \left(x \right) = F_{547}\! \left(x \right)+F_{628}\! \left(x \right)
F_{547}\! \left(x \right) = F_{165}\! \left(x \right) F_{548}\! \left(x \right)
F_{548}\! \left(x \right) = \frac{F_{549}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{549}\! \left(x \right) = F_{550}\! \left(x \right)
F_{550}\! \left(x \right) = F_{551}\! \left(x \right)+F_{618}\! \left(x \right)
F_{551}\! \left(x \right) = F_{552}\! \left(x \right)+F_{64}\! \left(x \right)
F_{552}\! \left(x \right) = F_{553}\! \left(x \right)
F_{553}\! \left(x \right) = F_{4}\! \left(x \right) F_{554}\! \left(x \right)
F_{554}\! \left(x \right) = F_{550}\! \left(x \right)+F_{555}\! \left(x \right)
F_{555}\! \left(x \right) = -F_{556}\! \left(x \right)+F_{8}\! \left(x \right)
F_{556}\! \left(x \right) = -F_{559}\! \left(x \right)+F_{557}\! \left(x \right)
F_{557}\! \left(x \right) = \frac{F_{558}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{558}\! \left(x \right) = F_{6}\! \left(x \right)
F_{559}\! \left(x \right) = F_{560}\! \left(x \right)+F_{613}\! \left(x \right)
F_{560}\! \left(x \right) = -F_{10}\! \left(x \right)+F_{561}\! \left(x \right)
F_{561}\! \left(x \right) = -F_{564}\! \left(x \right)+F_{562}\! \left(x \right)
F_{562}\! \left(x \right) = \frac{F_{563}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{563}\! \left(x \right) = F_{31}\! \left(x \right)
F_{564}\! \left(x \right) = F_{565}\! \left(x \right)
F_{565}\! \left(x \right) = F_{4}\! \left(x \right) F_{566}\! \left(x \right)
F_{566}\! \left(x \right) = F_{567}\! \left(x \right)+F_{609}\! \left(x \right)
F_{567}\! \left(x \right) = F_{568}\! \left(x \right)+F_{574}\! \left(x \right)
F_{568}\! \left(x \right) = F_{414}\! \left(x \right) F_{569}\! \left(x \right)
F_{569}\! \left(x \right) = F_{10}\! \left(x \right)+F_{570}\! \left(x \right)
F_{570}\! \left(x \right) = F_{571}\! \left(x \right)
F_{571}\! \left(x \right) = -F_{556}\! \left(x \right)+F_{572}\! \left(x \right)
F_{572}\! \left(x \right) = \frac{F_{573}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{573}\! \left(x \right) = F_{551}\! \left(x \right)
F_{574}\! \left(x \right) = F_{575}\! \left(x \right)+F_{606}\! \left(x \right)
F_{575}\! \left(x \right) = F_{576}\! \left(x \right)
F_{576}\! \left(x \right) = -F_{586}\! \left(x \right)+F_{577}\! \left(x \right)
F_{577}\! \left(x \right) = \frac{F_{578}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{578}\! \left(x \right) = F_{579}\! \left(x \right)
F_{579}\! \left(x \right) = -F_{12}\! \left(x \right)+F_{580}\! \left(x \right)
F_{580}\! \left(x \right) = F_{581}\! \left(x \right)
F_{581}\! \left(x \right) = F_{4}\! \left(x \right) F_{582}\! \left(x \right)
F_{582}\! \left(x \right) = F_{583}\! \left(x \right)+F_{584}\! \left(x \right)
F_{583}\! \left(x \right) = F_{26}\! \left(x \right) F_{39}\! \left(x \right)
F_{584}\! \left(x \right) = F_{585}\! \left(x \right)
F_{585}\! \left(x \right) = F_{39}\! \left(x \right) F_{4}\! \left(x \right) F_{582}\! \left(x \right)
F_{586}\! \left(x \right) = F_{587}\! \left(x \right)+F_{588}\! \left(x \right)
F_{587}\! \left(x \right) = F_{12}\! \left(x \right) F_{414}\! \left(x \right)
F_{588}\! \left(x \right) = F_{589}\! \left(x \right)
F_{589}\! \left(x \right) = F_{4}\! \left(x \right) F_{580}\! \left(x \right) F_{590}\! \left(x \right)
F_{590}\! \left(x \right) = \frac{F_{591}\! \left(x \right)}{F_{4}\! \left(x \right) F_{592}\! \left(x \right)}
F_{591}\! \left(x \right) = F_{574}\! \left(x \right)
F_{592}\! \left(x \right) = F_{593}\! \left(x \right)+F_{596}\! \left(x \right)
F_{593}\! \left(x \right) = F_{26}\! \left(x \right)+F_{594}\! \left(x \right)
F_{594}\! \left(x \right) = F_{595}\! \left(x \right)
F_{595}\! \left(x \right) = F_{25}\! \left(x \right) F_{4}\! \left(x \right) F_{40}\! \left(x \right)
F_{596}\! \left(x \right) = F_{597}\! \left(x \right)
F_{597}\! \left(x \right) = -F_{601}\! \left(x \right)+F_{598}\! \left(x \right)
F_{598}\! \left(x \right) = \frac{F_{599}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{599}\! \left(x \right) = F_{600}\! \left(x \right)
F_{600}\! \left(x \right) = -F_{22}\! \left(x \right)+F_{555}\! \left(x \right)
F_{601}\! \left(x \right) = F_{602}\! \left(x \right)+F_{604}\! \left(x \right)
F_{602}\! \left(x \right) = F_{603}\! \left(x \right)
F_{603}\! \left(x \right) = F_{4}\! \left(x \right) F_{40}\! \left(x \right) F_{548}\! \left(x \right)
F_{604}\! \left(x \right) = F_{605}\! \left(x \right)
F_{605}\! \left(x \right) = F_{40}\! \left(x \right) F_{600}\! \left(x \right)
F_{606}\! \left(x \right) = F_{607}\! \left(x \right)
F_{607}\! \left(x \right) = F_{4}\! \left(x \right) F_{590}\! \left(x \right) F_{608}\! \left(x \right)
F_{608}\! \left(x \right) = F_{594}\! \left(x \right)+F_{596}\! \left(x \right)
F_{609}\! \left(x \right) = F_{610}\! \left(x \right)
F_{610}\! \left(x \right) = F_{611}\! \left(x \right)
F_{611}\! \left(x \right) = F_{4}\! \left(x \right) F_{590}\! \left(x \right) F_{612}\! \left(x \right)
F_{612}\! \left(x \right) = F_{564}\! \left(x \right)+F_{569}\! \left(x \right)
F_{613}\! \left(x \right) = F_{614}\! \left(x \right)
F_{614}\! \left(x \right) = F_{4}\! \left(x \right) F_{615}\! \left(x \right)
F_{615}\! \left(x \right) = F_{601}\! \left(x \right)+F_{616}\! \left(x \right)
F_{616}\! \left(x \right) = F_{617}\! \left(x \right)
F_{617}\! \left(x \right) = F_{24}\! \left(x \right) F_{4}\! \left(x \right) F_{40}\! \left(x \right)
F_{618}\! \left(x \right) = -F_{6}\! \left(x \right)+F_{619}\! \left(x \right)
F_{619}\! \left(x \right) = -F_{622}\! \left(x \right)+F_{620}\! \left(x \right)
F_{620}\! \left(x \right) = \frac{F_{621}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{621}\! \left(x \right) = F_{103}\! \left(x \right)
F_{622}\! \left(x \right) = -F_{625}\! \left(x \right)+F_{623}\! \left(x \right)
F_{623}\! \left(x \right) = \frac{F_{624}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{624}\! \left(x \right) = F_{127}\! \left(x \right)
F_{625}\! \left(x \right) = F_{5}\! \left(x \right)+F_{626}\! \left(x \right)
F_{626}\! \left(x \right) = -F_{627}\! \left(x \right)+F_{556}\! \left(x \right)
F_{627}\! \left(x \right) = F_{0}\! \left(x \right)+F_{551}\! \left(x \right)
F_{628}\! \left(x \right) = F_{239}\! \left(x \right) F_{629}\! \left(x \right)
F_{629}\! \left(x \right) = -F_{641}\! \left(x \right)+F_{630}\! \left(x \right)
F_{630}\! \left(x \right) = F_{525}\! \left(x \right)+F_{631}\! \left(x \right)
F_{631}\! \left(x \right) = \frac{F_{632}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{632}\! \left(x \right) = F_{633}\! \left(x \right)
F_{633}\! \left(x \right) = F_{634}\! \left(x \right)
F_{634}\! \left(x \right) = F_{4}\! \left(x \right) F_{635}\! \left(x \right)
F_{635}\! \left(x \right) = -F_{638}\! \left(x \right)+F_{636}\! \left(x \right)
F_{636}\! \left(x \right) = \frac{F_{637}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{637}\! \left(x \right) = F_{579}\! \left(x \right)
F_{638}\! \left(x \right) = F_{195}\! \left(x \right)+F_{639}\! \left(x \right)
F_{639}\! \left(x \right) = F_{640}\! \left(x \right)
F_{640}\! \left(x \right) = F_{27}\! \left(x \right) F_{4}\! \left(x \right) F_{49}\! \left(x \right)
F_{641}\! \left(x \right) = F_{642}\! \left(x \right)
F_{642}\! \left(x \right) = F_{4}\! \left(x \right) F_{49}\! \left(x \right) F_{629}\! \left(x \right)
F_{643}\! \left(x \right) = F_{644}\! \left(x \right)
F_{644}\! \left(x \right) = F_{4}\! \left(x \right) F_{645}\! \left(x \right)
F_{645}\! \left(x \right) = F_{646}\! \left(x \right)+F_{732}\! \left(x \right)
F_{646}\! \left(x \right) = F_{165}\! \left(x \right) F_{647}\! \left(x \right)
F_{647}\! \left(x \right) = F_{648}\! \left(x \right)+F_{728}\! \left(x \right)
F_{648}\! \left(x \right) = -F_{651}\! \left(x \right)+F_{649}\! \left(x \right)
F_{649}\! \left(x \right) = \frac{F_{650}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{650}\! \left(x \right) = F_{559}\! \left(x \right)
F_{651}\! \left(x \right) = F_{652}\! \left(x \right)
F_{652}\! \left(x \right) = F_{653}\! \left(x \right)+F_{726}\! \left(x \right)
F_{653}\! \left(x \right) = -F_{684}\! \left(x \right)+F_{654}\! \left(x \right)
F_{654}\! \left(x \right) = \frac{F_{655}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{655}\! \left(x \right) = F_{656}\! \left(x \right)
F_{656}\! \left(x \right) = F_{657}\! \left(x \right)
F_{657}\! \left(x \right) = F_{4}\! \left(x \right) F_{658}\! \left(x \right)
F_{658}\! \left(x \right) = F_{659}\! \left(x \right)+F_{682}\! \left(x \right)
F_{659}\! \left(x \right) = F_{660}\! \left(x \right)+F_{662}\! \left(x \right)
F_{660}\! \left(x \right) = F_{408}\! \left(x \right)+F_{661}\! \left(x \right)
F_{661}\! \left(x \right) = F_{12}\! \left(x \right)+F_{633}\! \left(x \right)
F_{662}\! \left(x \right) = \frac{F_{663}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{663}\! \left(x \right) = F_{664}\! \left(x \right)
F_{664}\! \left(x \right) = -F_{186}\! \left(x \right)+F_{665}\! \left(x \right)
F_{665}\! \left(x \right) = F_{666}\! \left(x \right)
F_{666}\! \left(x \right) = F_{4}\! \left(x \right) F_{667}\! \left(x \right)
F_{667}\! \left(x \right) = F_{668}\! \left(x \right)+F_{677}\! \left(x \right)
F_{668}\! \left(x \right) = F_{669}\! \left(x \right)+F_{675}\! \left(x \right)
F_{669}\! \left(x \right) = F_{665}\! \left(x \right)+F_{670}\! \left(x \right)
F_{670}\! \left(x \right) = F_{50}\! \left(x \right)+F_{671}\! \left(x \right)
F_{671}\! \left(x \right) = F_{672}\! \left(x \right)
F_{672}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{673}\! \left(x \right)
F_{673}\! \left(x \right) = -F_{665}\! \left(x \right)+F_{674}\! \left(x \right)
F_{674}\! \left(x \right) = F_{185}\! \left(x \right)+F_{656}\! \left(x \right)
F_{675}\! \left(x \right) = F_{676}\! \left(x \right)
F_{676}\! \left(x \right) = F_{34}\! \left(x \right) F_{4}\! \left(x \right) F_{669}\! \left(x \right)
F_{677}\! \left(x \right) = F_{678}\! \left(x \right)+F_{679}\! \left(x \right)
F_{678}\! \left(x \right) = F_{672}\! \left(x \right)
F_{679}\! \left(x \right) = F_{680}\! \left(x \right)
F_{680}\! \left(x \right) = -F_{681}\! \left(x \right)+F_{665}\! \left(x \right)
F_{681}\! \left(x \right) = F_{21}\! \left(x \right) F_{50}\! \left(x \right)
F_{682}\! \left(x \right) = F_{683}\! \left(x \right)
F_{683}\! \left(x \right) = F_{25}\! \left(x \right) F_{4}\! \left(x \right)
F_{684}\! \left(x \right) = F_{685}\! \left(x \right)+F_{724}\! \left(x \right)
F_{685}\! \left(x \right) = F_{670}\! \left(x \right)+F_{686}\! \left(x \right)
F_{686}\! \left(x \right) = -F_{671}\! \left(x \right)+F_{687}\! \left(x \right)
F_{687}\! \left(x \right) = \frac{F_{688}\! \left(x \right)}{F_{159}\! \left(x \right)}
F_{688}\! \left(x \right) = -F_{702}\! \left(x \right)+F_{689}\! \left(x \right)
F_{689}\! \left(x \right) = \frac{F_{690}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{690}\! \left(x \right) = F_{691}\! \left(x \right)
F_{691}\! \left(x \right) = -F_{701}\! \left(x \right)+F_{692}\! \left(x \right)
F_{692}\! \left(x \right) = F_{693}\! \left(x \right)+F_{694}\! \left(x \right)
F_{693}\! \left(x \right) = F_{7}\! \left(x \right)
F_{694}\! \left(x \right) = F_{695}\! \left(x \right)
F_{695}\! \left(x \right) = F_{4}\! \left(x \right) F_{696}\! \left(x \right)
F_{696}\! \left(x \right) = F_{697}\! \left(x \right)+F_{700}\! \left(x \right)
F_{697}\! \left(x \right) = F_{50}\! \left(x \right) F_{698}\! \left(x \right)
F_{698}\! \left(x \right) = F_{671}\! \left(x \right)+F_{699}\! \left(x \right)
F_{699}\! \left(x \right) = F_{552}\! \left(x \right)
F_{700}\! \left(x \right) = F_{159}\! \left(x \right) F_{671}\! \left(x \right)
F_{701}\! \left(x \right) = F_{2}\! \left(x \right) F_{67}\! \left(x \right)
F_{702}\! \left(x \right) = F_{50}\! \left(x \right) F_{703}\! \left(x \right)
F_{703}\! \left(x \right) = F_{704}\! \left(x \right)+F_{707}\! \left(x \right)
F_{704}\! \left(x \right) = F_{705}\! \left(x \right)
F_{705}\! \left(x \right) = F_{21}\! \left(x \right) F_{706}\! \left(x \right)
F_{706}\! \left(x \right) = F_{50}\! \left(x \right)+F_{64}\! \left(x \right)
F_{707}\! \left(x \right) = F_{708}\! \left(x \right)+F_{720}\! \left(x \right)
F_{708}\! \left(x \right) = \frac{F_{709}\! \left(x \right)}{F_{414}\! \left(x \right)}
F_{709}\! \left(x \right) = -F_{574}\! \left(x \right)+F_{710}\! \left(x \right)
F_{710}\! \left(x \right) = -F_{715}\! \left(x \right)+F_{711}\! \left(x \right)
F_{711}\! \left(x \right) = \frac{F_{712}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{712}\! \left(x \right) = F_{713}\! \left(x \right)
F_{713}\! \left(x \right) = -F_{714}\! \left(x \right)+F_{564}\! \left(x \right)
F_{714}\! \left(x \right) = F_{326}\! \left(x \right) F_{50}\! \left(x \right)
F_{715}\! \left(x \right) = F_{716}\! \left(x \right)
F_{716}\! \left(x \right) = -F_{717}\! \left(x \right)+F_{610}\! \left(x \right)
F_{717}\! \left(x \right) = F_{50}\! \left(x \right) F_{718}\! \left(x \right)
F_{718}\! \left(x \right) = F_{719}\! \left(x \right)
F_{719}\! \left(x \right) = F_{325}\! \left(x \right) F_{4}\! \left(x \right) F_{590}\! \left(x \right)
F_{720}\! \left(x \right) = F_{721}\! \left(x \right)
F_{721}\! \left(x \right) = F_{552}\! \left(x \right)+F_{722}\! \left(x \right)
F_{722}\! \left(x \right) = -F_{723}\! \left(x \right)+F_{618}\! \left(x \right)
F_{723}\! \left(x \right) = F_{21}\! \left(x \right) F_{64}\! \left(x \right)
F_{724}\! \left(x \right) = \frac{F_{725}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{725}\! \left(x \right) = F_{664}\! \left(x \right)
F_{726}\! \left(x \right) = F_{727}\! \left(x \right)
F_{727}\! \left(x \right) = F_{4}\! \left(x \right) F_{40}\! \left(x \right) F_{653}\! \left(x \right)
F_{728}\! \left(x \right) = F_{729}\! \left(x \right)
F_{729}\! \left(x \right) = F_{4}\! \left(x \right) F_{40}\! \left(x \right) F_{730}\! \left(x \right)
F_{730}\! \left(x \right) = \frac{F_{731}\! \left(x \right)}{F_{4}\! \left(x \right) F_{40}\! \left(x \right)}
F_{731}\! \left(x \right) = F_{652}\! \left(x \right)
F_{732}\! \left(x \right) = F_{733}\! \left(x \right)
F_{733}\! \left(x \right) = F_{239}\! \left(x \right) F_{730}\! \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_4(x)*F_5(x))
Eq(F_4(x), x)
Eq(F_5(x), F_0(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_4(x)*F_8(x))
Eq(F_8(x), F_61(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_22(x))
Eq(F_10(x), F_11(x) + F_12(x))
Eq(F_11(x), x*(x - 2)*F_11(x)**2 + (x + 2)*F_11(x) - 1)
Eq(F_12(x), F_13(x))
Eq(F_13(x), F_14(x)*F_4(x))
Eq(F_14(x), F_15(x)/F_4(x))
Eq(F_15(x), F_16(x))
Eq(F_16(x), F_17(x) + F_2(x))
Eq(F_17(x), F_18(x) - F_21(x))
Eq(F_18(x), -F_0(x) + F_19(x))
Eq(F_19(x), F_20(x)/F_4(x))
Eq(F_20(x), F_2(x))
Eq(F_21(x), x*(x - 2)*(F_21(x) + 1)**2 + (x + 1)*(F_21(x) + 1) + F_21(x) - 1)
Eq(F_22(x), F_23(x))
Eq(F_23(x), F_24(x)*F_4(x))
Eq(F_24(x), F_25(x) + F_59(x))
Eq(F_25(x), F_26(x) + F_47(x))
Eq(F_26(x), F_10(x) + F_27(x))
Eq(F_27(x), F_28(x) - F_32(x))
Eq(F_28(x), F_29(x)/F_4(x))
Eq(F_29(x), F_30(x))
Eq(F_30(x), -F_21(x) + F_31(x))
Eq(F_31(x), -F_0(x) + F_10(x))
Eq(F_32(x), F_33(x))
Eq(F_33(x), F_26(x)*F_34(x)*F_4(x))
Eq(F_34(x), F_35(x)/(F_10(x)*F_4(x)))
Eq(F_35(x), F_36(x))
Eq(F_36(x), F_37(x) + F_45(x))
Eq(F_37(x), F_38(x))
Eq(F_38(x), F_10(x)*F_39(x)*F_4(x))
Eq(F_39(x), F_40(x) + F_43(x))
Eq(F_40(x), F_1(x) + F_41(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_4(x)*F_40(x))
Eq(F_43(x), F_44(x))
Eq(F_44(x), F_34(x)*F_4(x)*F_40(x))
Eq(F_45(x), F_46(x))
Eq(F_46(x), F_34(x)*F_37(x)*F_4(x))
Eq(F_47(x), F_48(x))
Eq(F_48(x), F_26(x)*F_4(x)*F_49(x))
Eq(F_49(x), F_50(x) + F_53(x))
Eq(F_50(x), F_1(x) + F_51(x))
Eq(F_51(x), F_52(x))
Eq(F_52(x), F_4(x)*F_50(x))
Eq(F_53(x), F_41(x) + F_54(x))
Eq(F_54(x), F_55(x) + F_56(x) + F_58(x))
Eq(F_55(x), 0)
Eq(F_56(x), F_4(x)*F_57(x))
Eq(F_57(x), F_51(x) + F_54(x))
Eq(F_58(x), F_4(x)*F_53(x))
Eq(F_59(x), F_60(x))
Eq(F_60(x), F_25(x)*F_4(x)*F_49(x))
Eq(F_61(x), F_541(x) + F_62(x))
Eq(F_62(x), F_63(x) + F_80(x))
Eq(F_63(x), F_64(x) + F_69(x))
Eq(F_64(x), F_65(x))
Eq(F_65(x), F_4(x)*F_66(x))
Eq(F_66(x), F_67(x) + F_68(x))
Eq(F_67(x), F_1(x) + F_64(x))
Eq(F_68(x), F_51(x))
Eq(F_69(x), F_55(x) + F_70(x) + F_74(x))
Eq(F_70(x), F_4(x)*F_71(x))
Eq(F_71(x), F_63(x) + F_72(x))
Eq(F_72(x), F_73(x) + F_77(x))
Eq(F_73(x), F_74(x))
Eq(F_74(x), F_4(x)*F_75(x))
Eq(F_75(x), F_76(x))
Eq(F_76(x), F_4(x) + F_73(x))
Eq(F_77(x), F_78(x))
Eq(F_78(x), F_4(x)*F_79(x))
Eq(F_79(x), F_72(x))
Eq(F_80(x), -F_540(x) + F_81(x))
Eq(F_81(x), -F_538(x) + F_82(x))
Eq(F_82(x), F_83(x) + F_84(x))
Eq(F_83(x), F_11(x)*F_67(x))
Eq(F_84(x), F_85(x))
Eq(F_85(x), F_4(x)*F_86(x))
Eq(F_86(x), F_532(x) + F_87(x))
Eq(F_87(x), F_530(x) + F_88(x))
Eq(F_88(x), F_50(x)*F_89(x))
Eq(F_89(x), F_528(x) + F_90(x))
Eq(F_90(x), F_11(x) + F_91(x))
Eq(F_91(x), -F_149(x) + F_92(x))
Eq(F_92(x), F_93(x) - F_95(x))
Eq(F_93(x), F_94(x)/F_4(x))
Eq(F_94(x), F_30(x))
Eq(F_95(x), F_14(x) - F_96(x))
Eq(F_96(x), F_97(x) - F_99(x))
Eq(F_97(x), F_98(x)/F_4(x))
Eq(F_98(x), F_16(x))
Eq(F_99(x), F_100(x) + F_527(x))
Eq(F_100(x), F_101(x) - F_124(x))
Eq(F_101(x), F_102(x)/F_4(x))
Eq(F_102(x), F_103(x))
Eq(F_103(x), -F_104(x) + F_6(x))
Eq(F_104(x), F_105(x))
Eq(F_105(x), F_106(x)*F_4(x))
Eq(F_106(x), F_107(x) + F_67(x))
Eq(F_107(x), F_108(x) + F_115(x))
Eq(F_108(x), F_109(x))
Eq(F_109(x), F_110(x)*F_4(x))
Eq(F_110(x), F_111(x) + F_50(x))
Eq(F_111(x), F_112(x) + F_4(x))
Eq(F_112(x), F_113(x) + F_114(x) + F_55(x))
Eq(F_113(x), F_4(x)*F_51(x))
Eq(F_114(x), F_111(x)*F_4(x))
Eq(F_115(x), F_116(x) + F_118(x) + F_55(x))
Eq(F_116(x), F_117(x)*F_4(x))
Eq(F_117(x), F_64(x))
Eq(F_118(x), F_119(x)*F_4(x))
Eq(F_119(x), F_120(x) + F_123(x))
Eq(F_120(x), F_121(x) + F_4(x))
Eq(F_121(x), F_118(x) + F_122(x) + F_55(x))
Eq(F_122(x), F_4(x)*F_64(x))
Eq(F_123(x), F_112(x))
Eq(F_124(x), F_125(x) - F_128(x))
Eq(F_125(x), F_126(x)/F_4(x))
Eq(F_126(x), F_127(x))
Eq(F_127(x), F_103(x) + F_2(x))
Eq(F_128(x), F_129(x) + F_5(x))
Eq(F_129(x), F_130(x))
Eq(F_130(x), F_131(x)*F_4(x))
Eq(F_131(x), F_132(x)/F_4(x))
Eq(F_132(x), F_133(x))
Eq(F_133(x), F_134(x) - F_136(x))
Eq(F_134(x), F_135(x)/F_4(x))
Eq(F_135(x), F_17(x))
Eq(F_136(x), F_137(x) + F_151(x))
Eq(F_137(x), F_138(x))
Eq(F_138(x), F_139(x)*F_4(x))
Eq(F_139(x), F_140(x) + F_145(x))
Eq(F_140(x), F_141(x) + F_142(x))
Eq(F_141(x), F_11(x) + F_137(x))
Eq(F_142(x), F_143(x) + F_91(x))
Eq(F_143(x), F_144(x))
Eq(F_144(x), F_137(x)*F_4(x)*F_40(x))
Eq(F_145(x), F_146(x))
Eq(F_146(x), F_147(x) + F_149(x))
Eq(F_147(x), F_148(x))
Eq(F_148(x), F_4(x)*F_89(x))
Eq(F_149(x), F_150(x))
Eq(F_150(x), F_147(x)*F_4(x)*F_40(x))
Eq(F_151(x), F_152(x))
Eq(F_152(x), F_153(x)*F_4(x))
Eq(F_153(x), F_154(x) + F_214(x))
Eq(F_154(x), F_155(x) + F_163(x))
Eq(F_155(x), F_156(x)*F_159(x))
Eq(F_156(x), F_11(x) + F_157(x))
Eq(F_157(x), F_158(x))
Eq(F_158(x), F_11(x)*F_4(x)*F_49(x))
Eq(F_159(x), F_160(x) + F_4(x))
Eq(F_160(x), F_161(x) + F_162(x) + F_55(x))
Eq(F_161(x), F_159(x)*F_4(x))
Eq(F_162(x), F_4(x)*F_51(x))
Eq(F_163(x), F_164(x))
Eq(F_164(x), F_153(x)*F_165(x)*F_4(x))
Eq(F_165(x), F_166(x)/(F_10(x)*F_4(x)))
Eq(F_166(x), F_167(x))
Eq(F_167(x), -F_156(x) + F_168(x))
Eq(F_168(x), F_169(x) + F_170(x))
Eq(F_169(x), F_0(x)*F_50(x))
Eq(F_170(x), F_171(x))
Eq(F_171(x), F_172(x)*F_4(x)*F_50(x))
Eq(F_172(x), F_173(x) + F_195(x))
Eq(F_173(x), F_174(x) + F_212(x))
Eq(F_174(x), F_175(x)/F_21(x))
Eq(F_175(x), F_176(x) - F_197(x))
Eq(F_176(x), F_177(x) - F_194(x))
Eq(F_177(x), F_178(x)/F_4(x))
Eq(F_178(x), F_179(x))
Eq(F_179(x), F_180(x))
Eq(F_180(x), F_181(x)*F_4(x))
Eq(F_181(x), F_182(x) + F_192(x))
Eq(F_182(x), F_183(x)*F_186(x))
Eq(F_183(x), F_184(x) - F_36(x))
Eq(F_184(x), F_185(x) + F_190(x))
Eq(F_185(x), F_0(x) + F_186(x))
Eq(F_186(x), F_187(x))
Eq(F_187(x), F_188(x)*F_4(x))
Eq(F_188(x), F_184(x) + F_189(x))
Eq(F_189(x), F_38(x))
Eq(F_190(x), F_179(x) + F_191(x))
Eq(F_191(x), F_0(x)*F_21(x))
Eq(F_192(x), F_185(x)*F_193(x))
Eq(F_193(x), -F_183(x) + F_34(x))
Eq(F_194(x), F_195(x)*F_21(x))
Eq(F_195(x), F_196(x))
Eq(F_196(x), F_10(x)*F_4(x)*F_49(x))
Eq(F_197(x), F_198(x))
Eq(F_198(x), F_199(x) - F_208(x))
Eq(F_199(x), F_200(x) - F_202(x))
Eq(F_200(x), F_201(x)/F_4(x))
Eq(F_201(x), F_179(x))
Eq(F_202(x), F_203(x)*F_21(x))
Eq(F_203(x), F_204(x) + F_205(x))
Eq(F_204(x), F_4(x)*F_40(x))
Eq(F_205(x), F_206(x))
Eq(F_206(x), F_207(x)*F_4(x)*F_40(x))
Eq(F_207(x), F_2(x) + F_31(x))
Eq(F_208(x), F_209(x)*F_21(x))
Eq(F_209(x), -F_203(x) + F_210(x))
Eq(F_210(x), F_211(x)/F_4(x))
Eq(F_211(x), F_186(x))
Eq(F_212(x), F_213(x))
Eq(F_213(x), F_168(x) - F_185(x))
Eq(F_214(x), F_215(x) + F_237(x))
Eq(F_215(x), F_216(x)*F_50(x))
Eq(F_216(x), F_159(x) + F_217(x))
Eq(F_217(x), F_218(x)/F_50(x))
Eq(F_218(x), F_219(x) - F_221(x))
Eq(F_219(x), F_220(x)/F_4(x))
Eq(F_220(x), F_80(x))
Eq(F_221(x), F_222(x)*F_234(x))
Eq(F_222(x), F_223(x)/(F_4(x)*F_40(x)))
Eq(F_223(x), F_224(x))
Eq(F_224(x), F_225(x) - F_231(x))
Eq(F_225(x), F_226(x) + F_227(x))
Eq(F_226(x), F_205(x)*F_50(x))
Eq(F_227(x), F_228(x) - F_230(x))
Eq(F_228(x), F_229(x))
Eq(F_229(x), F_25(x)*F_4(x)*F_40(x))
Eq(F_230(x), F_203(x)*F_50(x))
Eq(F_231(x), F_228(x) - F_232(x))
Eq(F_232(x), F_233(x))
Eq(F_233(x), F_156(x)*F_4(x)*F_40(x))
Eq(F_234(x), F_235(x) + F_236(x))
Eq(F_235(x), F_1(x) + F_4(x))
Eq(F_236(x), F_160(x) + F_51(x))
Eq(F_237(x), F_238(x))
Eq(F_238(x), F_239(x)*F_4(x)*F_525(x))
Eq(F_239(x), F_240(x)/(F_325(x)*F_4(x)))
Eq(F_240(x), F_241(x))
Eq(F_241(x), -F_216(x) + F_242(x))
Eq(F_242(x), F_243(x)/F_40(x))
Eq(F_243(x), F_244(x) - F_521(x))
Eq(F_244(x), F_245(x) + F_520(x))
Eq(F_245(x), F_246(x)*F_40(x))
Eq(F_246(x), F_247(x)/(F_40(x)*F_50(x)))
Eq(F_247(x), F_248(x))
Eq(F_248(x), F_249(x) - F_515(x))
Eq(F_249(x), F_250(x)/F_4(x))
Eq(F_250(x), F_251(x))
Eq(F_251(x), F_252(x)*F_4(x))
Eq(F_252(x), F_253(x) + F_513(x))
Eq(F_253(x), F_254(x) + F_352(x))
Eq(F_254(x), F_255(x)*F_325(x))
Eq(F_255(x), F_256(x) + F_271(x))
Eq(F_256(x), F_234(x) + F_257(x))
Eq(F_257(x), F_258(x))
Eq(F_258(x), F_108(x) + F_259(x))
Eq(F_259(x), F_260(x) + F_270(x) + F_55(x))
Eq(F_260(x), F_261(x)*F_4(x))
Eq(F_261(x), F_159(x) + F_262(x))
Eq(F_262(x), F_263(x) + F_266(x))
Eq(F_263(x), F_264(x) + F_265(x) + F_55(x))
Eq(F_264(x), x**2)
Eq(F_265(x), x**2)
Eq(F_266(x), F_267(x) + F_268(x) + F_269(x) + F_55(x))
Eq(F_267(x), F_160(x)*F_4(x))
Eq(F_268(x), F_262(x)*F_4(x))
Eq(F_269(x), F_112(x)*F_4(x))
Eq(F_270(x), F_108(x)*F_4(x))
Eq(F_271(x), F_272(x) + F_286(x))
Eq(F_272(x), F_273(x) + F_278(x))
Eq(F_273(x), F_274(x) + F_41(x))
Eq(F_274(x), F_275(x) + F_277(x) + F_55(x))
Eq(F_275(x), F_276(x)*F_4(x))
Eq(F_276(x), F_274(x) + F_4(x))
Eq(F_277(x), F_4(x)*F_41(x))
Eq(F_278(x), F_279(x) + F_282(x))
Eq(F_279(x), F_280(x))
Eq(F_280(x), F_281(x)*F_4(x))
Eq(F_281(x), F_279(x) + F_41(x))
Eq(F_282(x), F_283(x) + F_285(x) + 2*F_55(x))
Eq(F_283(x), F_284(x)*F_4(x))
Eq(F_284(x), F_274(x) + F_282(x))
Eq(F_285(x), F_279(x)*F_4(x))
Eq(F_286(x), F_287(x))
Eq(F_287(x), F_288(x) + F_299(x))
Eq(F_288(x), F_289(x) + F_55(x) + F_56(x))
Eq(F_289(x), F_290(x)*F_4(x))
Eq(F_290(x), F_291(x) + F_53(x))
Eq(F_291(x), F_274(x) + F_292(x))
Eq(F_292(x), F_293(x) + F_297(x) + F_298(x) + F_55(x))
Eq(F_293(x), F_294(x)*F_4(x))
Eq(F_294(x), F_295(x) + F_296(x))
Eq(F_295(x), F_113(x))
Eq(F_296(x), F_293(x) + F_297(x) + 2*F_55(x))
Eq(F_297(x), F_4(x)*F_54(x))
Eq(F_298(x), F_291(x)*F_4(x))
Eq(F_299(x), F_300(x) + F_306(x) + F_324(x) + F_55(x))
Eq(F_300(x), F_301(x)*F_4(x))
Eq(F_301(x), F_160(x) + F_302(x))
Eq(F_302(x), F_300(x) + F_303(x) + F_305(x) + F_55(x))
Eq(F_303(x), F_304(x)*F_4(x))
Eq(F_304(x), F_274(x) + F_302(x))
Eq(F_305(x), F_4(x)*F_54(x))
Eq(F_306(x), F_307(x)*F_4(x))
Eq(F_307(x), F_304(x) + F_308(x))
Eq(F_308(x), F_309(x) + F_314(x))
Eq(F_309(x), F_310(x) + F_312(x) + F_313(x) + F_55(x))
Eq(F_310(x), F_311(x)*F_4(x))
Eq(F_311(x), F_263(x) + F_309(x))
Eq(F_312(x), F_274(x)*F_4(x))
Eq(F_313(x), F_274(x)*F_4(x))
Eq(F_314(x), F_315(x) + F_320(x) + F_322(x) + F_323(x) + F_55(x))
Eq(F_315(x), F_316(x)*F_4(x))
Eq(F_316(x), F_317(x) + F_319(x))
Eq(F_317(x), F_267(x) + F_318(x) + 2*F_55(x))
Eq(F_318(x), F_295(x)*F_4(x))
Eq(F_319(x), F_315(x) + F_320(x) + F_321(x) + 2*F_55(x))
Eq(F_320(x), F_302(x)*F_4(x))
Eq(F_321(x), F_296(x)*F_4(x))
Eq(F_322(x), F_308(x)*F_4(x))
Eq(F_323(x), F_292(x)*F_4(x))
Eq(F_324(x), F_288(x)*F_4(x))
Eq(F_325(x), F_11(x) + F_326(x))
Eq(F_326(x), F_327(x)/F_64(x))
Eq(F_327(x), F_328(x) - F_349(x))
Eq(F_328(x), F_329(x))
Eq(F_329(x), F_330(x)*F_4(x))
Eq(F_330(x), F_331(x)/F_4(x))
Eq(F_331(x), F_332(x))
Eq(F_332(x), F_333(x) + F_338(x))
Eq(F_333(x), F_334(x) + F_336(x))
Eq(F_334(x), F_335(x)*F_41(x))
Eq(F_335(x), F_1(x) + F_108(x))
Eq(F_336(x), F_337(x)*F_50(x))
Eq(F_337(x), x*(x - 2)*(x - 1)*((x - 1)*F_337(x) - 1)**2 - (x - 1)**3 + (x - 1)**2*(x + 1)*((x - 1)*F_337(x) - 1) + F_337(x))
Eq(F_338(x), F_339(x))
Eq(F_339(x), F_340(x)*F_4(x))
Eq(F_340(x), F_341(x) + F_348(x))
Eq(F_341(x), F_342(x) + F_347(x))
Eq(F_342(x), F_343(x)*F_41(x))
Eq(F_343(x), F_234(x) + F_344(x))
Eq(F_344(x), F_345(x) + F_346(x))
Eq(F_345(x), F_263(x) + F_4(x))
Eq(F_346(x), F_112(x) + F_266(x))
Eq(F_347(x), F_234(x)*F_337(x))
Eq(F_348(x), F_234(x)*F_4(x)*F_41(x))
Eq(F_349(x), F_350(x) + F_351(x))
Eq(F_350(x), F_104(x)*F_40(x))
Eq(F_351(x), F_337(x)*F_64(x))
Eq(F_352(x), F_353(x))
Eq(F_353(x), F_354(x)*F_485(x))
Eq(F_354(x), F_355(x)/F_363(x))
Eq(F_355(x), F_356(x))
Eq(F_356(x), F_252(x) - F_357(x))
Eq(F_357(x), F_325(x)*F_358(x))
Eq(F_358(x), F_359(x) + F_361(x))
Eq(F_359(x), F_159(x) + F_360(x))
Eq(F_360(x), F_259(x))
Eq(F_361(x), F_284(x) + F_362(x))
Eq(F_362(x), F_299(x))
Eq(F_363(x), F_364(x) + F_484(x))
Eq(F_364(x), F_365(x) - F_511(x))
Eq(F_365(x), F_366(x) + F_434(x))
Eq(F_366(x), F_325(x) + F_367(x))
Eq(F_367(x), F_368(x) + F_369(x))
Eq(F_368(x), F_11(x)*F_2(x))
Eq(F_369(x), F_370(x))
Eq(F_370(x), F_19(x)*F_371(x)*F_4(x))
Eq(F_371(x), F_326(x) + F_372(x))
Eq(F_372(x), F_373(x))
Eq(F_373(x), F_374(x)*F_4(x))
Eq(F_374(x), F_375(x)/(F_19(x)*F_4(x)))
Eq(F_375(x), F_376(x))
Eq(F_376(x), F_377(x) + F_508(x))
Eq(F_377(x), F_378(x) - F_380(x))
Eq(F_378(x), F_379(x)/F_4(x))
Eq(F_379(x), F_151(x))
Eq(F_380(x), F_381(x)/F_4(x))
Eq(F_381(x), F_382(x))
Eq(F_382(x), F_383(x) + F_384(x))
Eq(F_383(x), F_21(x)*F_4(x))
Eq(F_384(x), F_385(x))
Eq(F_385(x), F_386(x)*F_387(x)*F_4(x))
Eq(F_386(x), F_41(x) + F_43(x))
Eq(F_387(x), F_388(x)/(F_4(x)*F_450(x)))
Eq(F_388(x), F_389(x))
Eq(F_389(x), F_390(x) - F_507(x))
Eq(F_390(x), F_391(x) + F_397(x))
Eq(F_391(x), F_392(x))
Eq(F_392(x), F_393(x)*F_394(x))
Eq(F_393(x), F_335(x) + F_51(x))
Eq(F_394(x), F_395(x))
Eq(F_395(x), F_396(x)*F_4(x))
Eq(F_396(x), F_21(x) + F_91(x))
Eq(F_397(x), F_398(x))
Eq(F_398(x), F_399(x)*F_4(x))
Eq(F_399(x), F_400(x) - F_505(x))
Eq(F_400(x), F_401(x)/(F_19(x)*F_4(x)))
Eq(F_401(x), F_402(x))
Eq(F_402(x), F_403(x) + F_430(x))
Eq(F_403(x), F_404(x)*F_405(x))
Eq(F_404(x), F_20(x))
Eq(F_405(x), F_156(x) + F_406(x))
Eq(F_406(x), F_407(x))
Eq(F_407(x), -F_11(x) + F_408(x))
Eq(F_408(x), F_335(x) + F_409(x))
Eq(F_409(x), F_410(x))
Eq(F_410(x), F_4(x)*F_411(x))
Eq(F_411(x), F_412(x)/F_4(x))
Eq(F_412(x), F_413(x))
Eq(F_413(x), -F_335(x) + F_414(x))
Eq(F_414(x), F_11(x) + F_415(x))
Eq(F_415(x), F_416(x))
Eq(F_416(x), F_4(x)*F_417(x))
Eq(F_417(x), F_418(x)/F_4(x))
Eq(F_418(x), F_419(x))
Eq(F_419(x), F_420(x)/F_4(x))
Eq(F_420(x), F_421(x) - F_427(x))
Eq(F_421(x), F_422(x))
Eq(F_422(x), F_4(x)*F_423(x))
Eq(F_423(x), F_424(x) + F_426(x))
Eq(F_424(x), F_183(x) + F_425(x))
Eq(F_425(x), F_40(x)*F_51(x))
Eq(F_426(x), F_159(x)*F_40(x))
Eq(F_427(x), F_428(x) + F_429(x))
Eq(F_428(x), F_40(x)*F_64(x))
Eq(F_429(x), F_337(x)*F_4(x))
Eq(F_430(x), F_431(x))
Eq(F_431(x), F_4(x)*F_432(x)*F_450(x))
Eq(F_432(x), F_433(x) + F_449(x))
Eq(F_433(x), F_434(x))
Eq(F_434(x), F_435(x))
Eq(F_435(x), F_436(x) - F_446(x))
Eq(F_436(x), F_437(x)/F_4(x))
Eq(F_437(x), F_438(x))
Eq(F_438(x), F_439(x) + F_442(x))
Eq(F_439(x), F_21(x) + F_440(x))
Eq(F_440(x), F_441(x))
Eq(F_441(x), F_19(x)*F_396(x)*F_4(x))
Eq(F_442(x), F_443(x))
Eq(F_443(x), F_4(x)*F_444(x))
Eq(F_444(x), F_445(x))
Eq(F_445(x), F_183(x)*F_19(x)*F_4(x))
Eq(F_446(x), F_366(x) + F_447(x))
Eq(F_447(x), F_448(x))
Eq(F_448(x), F_19(x)*F_325(x)*F_4(x))
Eq(F_449(x), F_367(x))
Eq(F_450(x), F_451(x)/(F_4(x)*F_483(x)))
Eq(F_451(x), F_452(x))
Eq(F_452(x), F_453(x) - F_482(x))
Eq(F_453(x), F_454(x) + F_457(x))
Eq(F_454(x), F_455(x))
Eq(F_455(x), F_393(x)*F_456(x))
Eq(F_456(x), F_21(x) + F_394(x))
Eq(F_457(x), F_397(x) + F_458(x))
Eq(F_458(x), F_459(x) - F_480(x))
Eq(F_459(x), F_460(x)/F_50(x))
Eq(F_460(x), F_461(x) - F_473(x))
Eq(F_461(x), F_462(x)/F_4(x))
Eq(F_462(x), F_463(x))
Eq(F_463(x), -F_333(x) + F_464(x))
Eq(F_464(x), F_409(x) + F_465(x))
Eq(F_465(x), F_466(x))
Eq(F_466(x), F_4(x)*F_467(x))
Eq(F_467(x), F_468(x) + F_472(x))
Eq(F_468(x), F_469(x)*F_50(x))
Eq(F_469(x), F_405(x) - F_470(x))
Eq(F_470(x), F_471(x) + F_50(x))
Eq(F_471(x), F_108(x))
Eq(F_472(x), F_111(x)*F_53(x))
Eq(F_473(x), F_474(x))
Eq(F_474(x), F_472(x) + F_475(x))
Eq(F_475(x), F_476(x)*F_49(x))
Eq(F_476(x), F_477(x))
Eq(F_477(x), F_4(x)*F_478(x)*F_50(x))
Eq(F_478(x), F_337(x) + F_479(x))
Eq(F_479(x), F_41(x)*F_50(x))
Eq(F_480(x), F_481(x))
Eq(F_481(x), F_21(x)*F_393(x))
Eq(F_482(x), F_235(x)*F_469(x))
Eq(F_483(x), F_364(x) + F_484(x))
Eq(F_484(x), F_387(x) - F_485(x))
Eq(F_485(x), F_486(x) - F_490(x))
Eq(F_486(x), F_487(x) + F_488(x))
Eq(F_487(x), F_156(x)*F_4(x))
Eq(F_488(x), F_489(x))
Eq(F_489(x), F_165(x)*F_387(x)*F_4(x))
Eq(F_490(x), F_491(x))
Eq(F_491(x), F_492(x) - F_496(x))
Eq(F_492(x), F_397(x) + F_493(x))
Eq(F_493(x), F_494(x))
Eq(F_494(x), F_393(x)*F_495(x))
Eq(F_495(x), F_394(x) + F_4(x))
Eq(F_496(x), F_380(x) - F_497(x))
Eq(F_497(x), F_498(x) - F_500(x))
Eq(F_498(x), F_499(x)/F_4(x))
Eq(F_499(x), F_384(x))
Eq(F_500(x), F_389(x) - F_501(x))
Eq(F_501(x), F_502(x))
Eq(F_502(x), F_488(x) - F_503(x))
Eq(F_503(x), -F_383(x) + F_504(x))
Eq(F_504(x), F_382(x) + F_394(x))
Eq(F_505(x), F_506(x))
Eq(F_506(x), F_393(x)*F_90(x))
Eq(F_507(x), F_4(x)*F_469(x))
Eq(F_508(x), F_509(x))
Eq(F_509(x), F_374(x)*F_4(x)*F_510(x))
Eq(F_510(x), F_18(x) + F_2(x))
Eq(F_511(x), -F_485(x) + F_512(x))
Eq(F_512(x), F_367(x) + F_434(x))
Eq(F_513(x), F_514(x))
Eq(F_514(x), F_354(x)*F_484(x))
Eq(F_515(x), F_516(x)*F_517(x))
Eq(F_516(x), F_159(x) + F_284(x))
Eq(F_517(x), F_156(x) + F_518(x))
Eq(F_518(x), F_519(x))
Eq(F_519(x), F_165(x)*F_325(x)*F_4(x))
Eq(F_520(x), F_276(x)*F_517(x))
Eq(F_521(x), F_522(x) + F_524(x))
Eq(F_522(x), F_517(x)*F_523(x))
Eq(F_523(x), F_235(x) + F_273(x))
Eq(F_524(x), F_40(x)*F_486(x))
Eq(F_525(x), F_526(x)/F_4(x))
Eq(F_526(x), F_407(x))
Eq(F_527(x), F_143(x))
Eq(F_528(x), F_529(x))
Eq(F_529(x), F_4(x)*F_49(x)*F_90(x))
Eq(F_530(x), F_531(x))
Eq(F_531(x), F_11(x)*F_49(x)*F_64(x))
Eq(F_532(x), F_533(x) + F_535(x))
Eq(F_533(x), F_534(x))
Eq(F_534(x), F_4(x)*F_49(x)*F_89(x))
Eq(F_535(x), F_536(x))
Eq(F_536(x), F_11(x)*F_51(x)*F_537(x))
Eq(F_537(x), F_159(x) + F_304(x))
Eq(F_538(x), F_539(x) + F_67(x))
Eq(F_539(x), F_64(x) + F_69(x))
Eq(F_540(x), F_141(x) - F_67(x))
Eq(F_541(x), F_542(x))
Eq(F_542(x), F_4(x)*F_543(x))
Eq(F_543(x), F_544(x) + F_643(x))
Eq(F_544(x), F_545(x))
Eq(F_545(x), F_4(x)*F_546(x))
Eq(F_546(x), F_547(x) + F_628(x))
Eq(F_547(x), F_165(x)*F_548(x))
Eq(F_548(x), F_549(x)/F_4(x))
Eq(F_549(x), F_550(x))
Eq(F_550(x), F_551(x) + F_618(x))
Eq(F_551(x), F_552(x) + F_64(x))
Eq(F_552(x), F_553(x))
Eq(F_553(x), F_4(x)*F_554(x))
Eq(F_554(x), F_550(x) + F_555(x))
Eq(F_555(x), -F_556(x) + F_8(x))
Eq(F_556(x), F_557(x) - F_559(x))
Eq(F_557(x), F_558(x)/F_4(x))
Eq(F_558(x), F_6(x))
Eq(F_559(x), F_560(x) + F_613(x))
Eq(F_560(x), -F_10(x) + F_561(x))
Eq(F_561(x), F_562(x) - F_564(x))
Eq(F_562(x), F_563(x)/F_4(x))
Eq(F_563(x), F_31(x))
Eq(F_564(x), F_565(x))
Eq(F_565(x), F_4(x)*F_566(x))
Eq(F_566(x), F_567(x) + F_609(x))
Eq(F_567(x), F_568(x) + F_574(x))
Eq(F_568(x), F_414(x)*F_569(x))
Eq(F_569(x), F_10(x) + F_570(x))
Eq(F_570(x), F_571(x))
Eq(F_571(x), -F_556(x) + F_572(x))
Eq(F_572(x), F_573(x)/F_4(x))
Eq(F_573(x), F_551(x))
Eq(F_574(x), F_575(x) + F_606(x))
Eq(F_575(x), F_576(x))
Eq(F_576(x), F_577(x) - F_586(x))
Eq(F_577(x), F_578(x)/F_4(x))
Eq(F_578(x), F_579(x))
Eq(F_579(x), -F_12(x) + F_580(x))
Eq(F_580(x), F_581(x))
Eq(F_581(x), F_4(x)*F_582(x))
Eq(F_582(x), F_583(x) + F_584(x))
Eq(F_583(x), F_26(x)*F_39(x))
Eq(F_584(x), F_585(x))
Eq(F_585(x), F_39(x)*F_4(x)*F_582(x))
Eq(F_586(x), F_587(x) + F_588(x))
Eq(F_587(x), F_12(x)*F_414(x))
Eq(F_588(x), F_589(x))
Eq(F_589(x), F_4(x)*F_580(x)*F_590(x))
Eq(F_590(x), F_591(x)/(F_4(x)*F_592(x)))
Eq(F_591(x), F_574(x))
Eq(F_592(x), F_593(x) + F_596(x))
Eq(F_593(x), F_26(x) + F_594(x))
Eq(F_594(x), F_595(x))
Eq(F_595(x), F_25(x)*F_4(x)*F_40(x))
Eq(F_596(x), F_597(x))
Eq(F_597(x), F_598(x) - F_601(x))
Eq(F_598(x), F_599(x)/F_4(x))
Eq(F_599(x), F_600(x))
Eq(F_600(x), -F_22(x) + F_555(x))
Eq(F_601(x), F_602(x) + F_604(x))
Eq(F_602(x), F_603(x))
Eq(F_603(x), F_4(x)*F_40(x)*F_548(x))
Eq(F_604(x), F_605(x))
Eq(F_605(x), F_40(x)*F_600(x))
Eq(F_606(x), F_607(x))
Eq(F_607(x), F_4(x)*F_590(x)*F_608(x))
Eq(F_608(x), F_594(x) + F_596(x))
Eq(F_609(x), F_610(x))
Eq(F_610(x), F_611(x))
Eq(F_611(x), F_4(x)*F_590(x)*F_612(x))
Eq(F_612(x), F_564(x) + F_569(x))
Eq(F_613(x), F_614(x))
Eq(F_614(x), F_4(x)*F_615(x))
Eq(F_615(x), F_601(x) + F_616(x))
Eq(F_616(x), F_617(x))
Eq(F_617(x), F_24(x)*F_4(x)*F_40(x))
Eq(F_618(x), -F_6(x) + F_619(x))
Eq(F_619(x), F_620(x) - F_622(x))
Eq(F_620(x), F_621(x)/F_4(x))
Eq(F_621(x), F_103(x))
Eq(F_622(x), F_623(x) - F_625(x))
Eq(F_623(x), F_624(x)/F_4(x))
Eq(F_624(x), F_127(x))
Eq(F_625(x), F_5(x) + F_626(x))
Eq(F_626(x), F_556(x) - F_627(x))
Eq(F_627(x), F_0(x) + F_551(x))
Eq(F_628(x), F_239(x)*F_629(x))
Eq(F_629(x), F_630(x) - F_641(x))
Eq(F_630(x), F_525(x) + F_631(x))
Eq(F_631(x), F_632(x)/F_4(x))
Eq(F_632(x), F_633(x))
Eq(F_633(x), F_634(x))
Eq(F_634(x), F_4(x)*F_635(x))
Eq(F_635(x), F_636(x) - F_638(x))
Eq(F_636(x), F_637(x)/F_4(x))
Eq(F_637(x), F_579(x))
Eq(F_638(x), F_195(x) + F_639(x))
Eq(F_639(x), F_640(x))
Eq(F_640(x), F_27(x)*F_4(x)*F_49(x))
Eq(F_641(x), F_642(x))
Eq(F_642(x), F_4(x)*F_49(x)*F_629(x))
Eq(F_643(x), F_644(x))
Eq(F_644(x), F_4(x)*F_645(x))
Eq(F_645(x), F_646(x) + F_732(x))
Eq(F_646(x), F_165(x)*F_647(x))
Eq(F_647(x), F_648(x) + F_728(x))
Eq(F_648(x), F_649(x) - F_651(x))
Eq(F_649(x), F_650(x)/F_4(x))
Eq(F_650(x), F_559(x))
Eq(F_651(x), F_652(x))
Eq(F_652(x), F_653(x) + F_726(x))
Eq(F_653(x), F_654(x) - F_684(x))
Eq(F_654(x), F_655(x)/F_4(x))
Eq(F_655(x), F_656(x))
Eq(F_656(x), F_657(x))
Eq(F_657(x), F_4(x)*F_658(x))
Eq(F_658(x), F_659(x) + F_682(x))
Eq(F_659(x), F_660(x) + F_662(x))
Eq(F_660(x), F_408(x) + F_661(x))
Eq(F_661(x), F_12(x) + F_633(x))
Eq(F_662(x), F_663(x)/F_4(x))
Eq(F_663(x), F_664(x))
Eq(F_664(x), -F_186(x) + F_665(x))
Eq(F_665(x), F_666(x))
Eq(F_666(x), F_4(x)*F_667(x))
Eq(F_667(x), F_668(x) + F_677(x))
Eq(F_668(x), F_669(x) + F_675(x))
Eq(F_669(x), F_665(x) + F_670(x))
Eq(F_670(x), F_50(x) + F_671(x))
Eq(F_671(x), F_672(x))
Eq(F_672(x), -F_0(x) + F_673(x))
Eq(F_673(x), -F_665(x) + F_674(x))
Eq(F_674(x), F_185(x) + F_656(x))
Eq(F_675(x), F_676(x))
Eq(F_676(x), F_34(x)*F_4(x)*F_669(x))
Eq(F_677(x), F_678(x) + F_679(x))
Eq(F_678(x), F_672(x))
Eq(F_679(x), F_680(x))
Eq(F_680(x), F_665(x) - F_681(x))
Eq(F_681(x), F_21(x)*F_50(x))
Eq(F_682(x), F_683(x))
Eq(F_683(x), F_25(x)*F_4(x))
Eq(F_684(x), F_685(x) + F_724(x))
Eq(F_685(x), F_670(x) + F_686(x))
Eq(F_686(x), -F_671(x) + F_687(x))
Eq(F_687(x), F_688(x)/F_159(x))
Eq(F_688(x), F_689(x) - F_702(x))
Eq(F_689(x), F_690(x)/F_4(x))
Eq(F_690(x), F_691(x))
Eq(F_691(x), F_692(x) - F_701(x))
Eq(F_692(x), F_693(x) + F_694(x))
Eq(F_693(x), F_7(x))
Eq(F_694(x), F_695(x))
Eq(F_695(x), F_4(x)*F_696(x))
Eq(F_696(x), F_697(x) + F_700(x))
Eq(F_697(x), F_50(x)*F_698(x))
Eq(F_698(x), F_671(x) + F_699(x))
Eq(F_699(x), F_552(x))
Eq(F_700(x), F_159(x)*F_671(x))
Eq(F_701(x), F_2(x)*F_67(x))
Eq(F_702(x), F_50(x)*F_703(x))
Eq(F_703(x), F_704(x) + F_707(x))
Eq(F_704(x), F_705(x))
Eq(F_705(x), F_21(x)*F_706(x))
Eq(F_706(x), F_50(x) + F_64(x))
Eq(F_707(x), F_708(x) + F_720(x))
Eq(F_708(x), F_709(x)/F_414(x))
Eq(F_709(x), -F_574(x) + F_710(x))
Eq(F_710(x), F_711(x) - F_715(x))
Eq(F_711(x), F_712(x)/F_4(x))
Eq(F_712(x), F_713(x))
Eq(F_713(x), F_564(x) - F_714(x))
Eq(F_714(x), F_326(x)*F_50(x))
Eq(F_715(x), F_716(x))
Eq(F_716(x), F_610(x) - F_717(x))
Eq(F_717(x), F_50(x)*F_718(x))
Eq(F_718(x), F_719(x))
Eq(F_719(x), F_325(x)*F_4(x)*F_590(x))
Eq(F_720(x), F_721(x))
Eq(F_721(x), F_552(x) + F_722(x))
Eq(F_722(x), F_618(x) - F_723(x))
Eq(F_723(x), F_21(x)*F_64(x))
Eq(F_724(x), F_725(x)/F_4(x))
Eq(F_725(x), F_664(x))
Eq(F_726(x), F_727(x))
Eq(F_727(x), F_4(x)*F_40(x)*F_653(x))
Eq(F_728(x), F_729(x))
Eq(F_729(x), F_4(x)*F_40(x)*F_730(x))
Eq(F_730(x), F_731(x)/(F_4(x)*F_40(x)))
Eq(F_731(x), F_652(x))
Eq(F_732(x), F_733(x))
Eq(F_733(x), F_239(x)*F_730(x))
Pack JSON:
{"name": "point_placements_req_corrob", "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, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 3, 1, 2, 4], [0, 3, 1, 4, 2], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 1, 3, 2], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 3, 1, 2, 4], [0, 3, 1, 4, 2], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 1, 3, 2], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
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