01234_01324_02134_02314_03124_03214
Counting sequence:
Specification 1
Strategy pack name: col_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries
Tree: http://permpal.com/tree/24484/
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[99,x]
F[3,x] = F[4,x,1]
F[4,x,k[0]] = F[1,x]+F[167,x,k[0]]+F[5,x,k[0]]
F[5,x,k[0]] = F[14,x,k[0]]*F[6,x,k[0]]
F[6,x,k[0]] = F[7,x,k[0],1]
F[7,x,k[0],k[1]] = F[8,x,k[0],k[0]*k[1]]
F[8,x,k[0],k[1]] = F[1,x]+F[15,x,k[0],k[1]]+F[158,x,k[0],k[1]]+F[9,x,k[0],k[1]]
F[9,x,k[0],k[1]] = F[10,x,k[0],k[1]]*F[14,x,k[0]]
F[10,x,k[0],k[1]] = F[11,x,k[0],1,k[1]]
F[11,x,k[0],k[1],k[2]] = F[12,x,k[0],k[0]*k[1],k[2]]
F[12,x,k[0],k[1],k[2]] = F[1,x]+F[13,x,k[0],k[1],k[2]]+F[15,x,k[1],k[2]]+F[18,x,k[0],k[1],k[2]]+F[9,x,k[1],k[2]]
F[13,x,k[0],k[1],k[2]] = F[12,x,k[0],k[1],k[2]]*F[14,x,k[0]]
F[14,x,k[0]] = k[0]*x
F[15,x,k[0],k[1]] = F[14,x,k[1]]*F[16,x,k[0],k[1]]
F[16,x,k[0],k[1]] = F[17,x,k[0],1,k[1]]
F[17,x,k[0],k[1],k[2]] = F[12,x,k[0],k[1]*k[2],k[2]]
F[18,x,k[0],k[1],k[2]] = F[19,x,k[0],k[1],k[2]]*F[99,x]
F[19,x,k[0],k[1],k[2]] = F[20,x,k[0],k[1],k[2],1]
F[20,x,k[0],k[1],k[2],k[3]] = F[1,x]+F[153,x,k[0],k[1],k[2],k[3]]+F[156,x,k[0],k[1],k[2],k[3]]+F[21,x,k[0],k[1],k[2],k[3]]+F[22,x,k[1],k[2],k[3]]+F[27,x,k[1],k[2],k[3]]
F[21,x,k[0],k[1],k[2],k[3]] = F[14,x,k[0]]*F[20,x,k[0],k[1],k[2],k[3]]
F[22,x,k[0],k[1],k[2]] = F[14,x,k[0]]*F[23,x,k[0],k[1],k[2]]
F[23,x,k[0],k[1],k[2]] = F[24,x,k[0],1,k[1],k[2]]
F[24,x,k[0],k[1],k[2],k[3]] = F[25,x,k[0],k[0]*k[1],k[2],k[3]]
F[25,x,k[0],k[1],k[2],k[3]] = F[1,x]+F[126,x,k[0],k[1],k[2],k[3]]+F[128,x,k[0],k[1],k[2],k[3]]+F[22,x,k[1],k[2],k[3]]+F[26,x,k[0],k[1],k[2],k[3]]+F[27,x,k[1],k[2],k[3]]
F[26,x,k[0],k[1],k[2],k[3]] = F[14,x,k[0]]*F[25,x,k[0],k[1],k[2],k[3]]
F[27,x,k[0],k[1],k[2]] = F[14,x,k[1]]*F[28,x,k[0],k[1],k[2]]
F[28,x,k[0],k[1],k[2]] = F[29,x,k[0],k[1],1,k[2]]
F[29,x,k[0],k[1],k[2],k[3]] = F[30,x,k[0],k[1],k[1]*k[2],k[3]]
F[30,x,k[0],k[1],k[2],k[3]] = F[1,x]+F[31,x,k[0],k[1],k[2],k[3]]+F[32,x,k[1],k[2],k[3]]+F[34,x,k[1],k[2],k[3]]+F[37,x,k[0],k[1],k[2],k[3]]+F[40,x,k[0],k[1],k[2],k[3]]
F[31,x,k[0],k[1],k[2],k[3]] = F[14,x,k[0]]*F[30,x,k[0],k[1],k[2],k[3]]
F[32,x,k[0],k[1],k[2]] = F[14,x,k[0]]*F[33,x,k[0],k[1],k[2]]
F[33,x,k[0],k[1],k[2]] = (F[10,x,k[0],k[1]]*k[1]-F[10,x,k[0],k[2]]*k[2])/(-k[2]+k[1])
F[34,x,k[0],k[1],k[2]] = F[14,x,k[1]]*F[35,x,k[0],k[1],k[2]]
F[35,x,k[0],k[1],k[2]] = (F[36,x,k[0],k[1],1]*k[1]-F[36,x,k[0],k[1],k[2]/k[1]]*k[2])/(-k[2]+k[1])
F[36,x,k[0],k[1],k[2]] = F[12,x,k[0],k[1],k[1]*k[2]]
F[37,x,k[0],k[1],k[2],k[3]] = F[14,x,k[3]]*F[38,x,k[0],k[1],k[2],k[3]]
F[38,x,k[0],k[1],k[2],k[3]] = (F[39,x,k[0],k[2],k[3]]*k[0]-F[39,x,k[1],k[2],k[3]]*k[1])/(-k[1]+k[0])
F[39,x,k[0],k[1],k[2]] = (-F[17,x,k[0],1,k[2]]*k[2]+F[17,x,k[0],k[1]/k[2],k[2]]*k[1])/(-k[2]+k[1])
F[40,x,k[0],k[1],k[2],k[3]] = F[41,x,k[0],k[1],k[2],k[3]]*F[99,x]
F[41,x,k[0],k[1],k[2],k[3]] = F[42,x,k[0],k[1],k[2],k[3],1]
F[42,x,k[0],k[1],k[2],k[3],k[4]] = F[1,x]+F[124,x,k[0],k[1],k[2],k[3],k[4]]+F[43,x,k[0],k[1],k[2],k[3],k[4]]+F[44,x,k[1],k[2],k[3],k[4]]+F[46,x,k[1],k[2],k[3],k[4]]+F[48,x,k[0],k[1],k[2],k[3],k[4]]+F[52,x,k[0],k[1],k[2],k[3],k[4]]
F[43,x,k[0],k[1],k[2],k[3],k[4]] = F[14,x,k[0]]*F[42,x,k[0],k[1],k[2],k[3],k[4]]
F[44,x,k[0],k[1],k[2],k[3]] = F[14,x,k[0]]*F[45,x,k[0],k[1],k[2],k[3]]
F[45,x,k[0],k[1],k[2],k[3]] = (F[23,x,k[0],k[1],k[3]]*k[1]-F[23,x,k[0],k[2],k[3]]*k[2])/(-k[2]+k[1])
F[46,x,k[0],k[1],k[2],k[3]] = F[14,x,k[1]]*F[47,x,k[0],k[1],k[2],k[3]]
F[47,x,k[0],k[1],k[2],k[3]] = (F[29,x,k[0],k[1],1,k[3]]*k[1]-F[29,x,k[0],k[1],k[2]/k[1],k[3]]*k[2])/(-k[2]+k[1])
F[48,x,k[0],k[1],k[2],k[3],k[4]] = F[14,x,k[3]]*F[49,x,k[0],k[1],k[2],k[3],k[4]]
F[49,x,k[0],k[1],k[2],k[3],k[4]] = (F[50,x,k[0],k[2],k[3],k[4]]*k[0]-F[50,x,k[1],k[2],k[3],k[4]]*k[1])/(-k[1]+k[0])
F[50,x,k[0],k[1],k[2],k[3]] = (-F[51,x,k[0],1,k[2],k[3]]*k[2]+F[51,x,k[0],k[1]/k[2],k[2],k[3]]*k[1])/(-k[2]+k[1])
F[51,x,k[0],k[1],k[2],k[3]] = F[30,x,k[0],k[1]*k[2],k[2],k[3]]
F[52,x,k[0],k[1],k[2],k[3],k[4]] = F[14,x,k[4]]*F[53,x,k[0],k[1],k[2],k[3],k[4]]
F[53,x,k[0],k[1],k[2],k[3],k[4]] = (-F[54,x,k[0],k[1],k[2],1,k[4]]*k[4]+F[54,x,k[0],k[1],k[2],k[3]/k[4],k[4]]*k[3])/(-k[4]+k[3])
F[54,x,k[0],k[1],k[2],k[3],k[4]] = F[55,x,k[0],k[1],k[2],k[3]*k[4],k[4]]
F[55,x,k[0],k[1],k[2],k[3],k[4]] = F[1,x]+F[56,x,k[0],k[1],k[2],k[3],k[4]]+F[57,x,k[1],k[2],k[3],k[4]]+F[61,x,k[1],k[2],k[3],k[4]]+F[64,x,k[0],k[1],k[2],k[3],k[4]]+F[69,x,k[0],k[1],k[2],k[3],k[4]]+F[73,x,k[0],k[1],k[2],k[3],k[4]]
F[56,x,k[0],k[1],k[2],k[3],k[4]] = F[14,x,k[0]]*F[55,x,k[0],k[1],k[2],k[3],k[4]]
F[57,x,k[0],k[1],k[2],k[3]] = F[14,x,k[0]]*F[58,x,k[0],k[1],k[2],k[3]]
F[58,x,k[0],k[1],k[2],k[3]] = (F[59,x,k[0],1,k[2],k[3]]*k[0]-F[59,x,k[0],k[1]/k[0],k[2],k[3]]*k[1])/(-k[1]+k[0])
F[59,x,k[0],k[1],k[2],k[3]] = F[60,x,k[0],k[0]*k[1],k[2],k[3]]
F[60,x,k[0],k[1],k[2],k[3]] = (F[12,x,k[0],k[1],k[3]]*k[1]-F[12,x,k[0],k[2],k[3]]*k[2])/(-k[2]+k[1])
F[61,x,k[0],k[1],k[2],k[3]] = F[14,x,k[1]]*F[62,x,k[0],k[1],k[2],k[3]]
F[62,x,k[0],k[1],k[2],k[3]] = (-F[63,x,1,k[1],k[2],k[3]]*k[1]+F[63,x,k[0]/k[1],k[1],k[2],k[3]]*k[0])/(-k[1]+k[0])
F[63,x,k[0],k[1],k[2],k[3]] = F[60,x,k[0]*k[1],k[1],k[2],k[3]]
F[64,x,k[0],k[1],k[2],k[3],k[4]] = F[14,x,k[3]]*F[65,x,k[0],k[1],k[2],k[3],k[4]]
F[65,x,k[0],k[1],k[2],k[3],k[4]] = (F[66,x,k[0],k[2],k[3],k[4]]*k[0]-F[66,x,k[1],k[2],k[3],k[4]]*k[1])/(-k[1]+k[0])
F[66,x,k[0],k[1],k[2],k[3]] = (F[67,x,k[0],k[2],k[3]]*k[0]-F[67,x,k[1],k[2],k[3]]*k[1])/(-k[1]+k[0])
F[67,x,k[0],k[1],k[2]] = (-F[68,x,1,k[1],k[2]]*k[1]+F[68,x,k[0]/k[1],k[1],k[2]]*k[0])/(-k[1]+k[0])
F[68,x,k[0],k[1],k[2]] = F[12,x,k[0]*k[1],k[1],k[2]]
F[69,x,k[0],k[1],k[2],k[3],k[4]] = F[14,x,k[4]]*F[70,x,k[0],k[1],k[2],k[3],k[4]]
F[70,x,k[0],k[1],k[2],k[3],k[4]] = (F[71,x,k[0],k[2],k[3],k[4]]*k[0]-F[71,x,k[1],k[2],k[3],k[4]]*k[1])/(-k[1]+k[0])
F[71,x,k[0],k[1],k[2],k[3]] = (F[72,x,k[0],k[2],k[3]]*k[0]-F[72,x,k[1],k[2],k[3]]*k[1])/(-k[1]+k[0])
F[72,x,k[0],k[1],k[2]] = (F[16,x,k[0],k[2]]*k[0]-F[16,x,k[1],k[2]]*k[1])/(-k[1]+k[0])
F[73,x,k[0],k[1],k[2],k[3],k[4]] = F[74,x,k[0],k[1],k[2],k[3],k[4]]*F[99,x]
F[74,x,k[0],k[1],k[2],k[3],k[4]] = F[1,x]+F[100,x,k[0],k[1],k[2],k[3],k[4]]+F[75,x,k[0],k[1],k[2],k[3],k[4]]+F[76,x,k[1],k[2],k[3],k[4]]+F[81,x,k[1],k[2],k[3],k[4]]+F[85,x,k[0],k[1],k[2],k[3],k[4]]+F[90,x,k[0],k[1],k[2],k[3],k[4]]+F[95,x,k[0],k[1],k[2],k[3],k[4]]
F[75,x,k[0],k[1],k[2],k[3],k[4]] = F[14,x,k[0]]*F[74,x,k[0],k[1],k[2],k[3],k[4]]
F[76,x,k[0],k[1],k[2],k[3]] = F[14,x,k[0]]*F[77,x,k[0],k[1],k[2],k[3]]
F[77,x,k[0],k[1],k[2],k[3]] = (F[78,x,k[0],k[1],k[3]]*k[1]-F[78,x,k[0],k[2],k[3]]*k[2])/(-k[2]+k[1])
F[78,x,k[0],k[1],k[2]] = (F[79,x,k[0],1,k[2]]*k[0]-F[79,x,k[0],k[1]/k[0],k[2]]*k[1])/(-k[1]+k[0])
F[79,x,k[0],k[1],k[2]] = F[80,x,k[0],k[0]*k[1],k[2]]
F[80,x,k[0],k[1],k[2]] = F[25,x,k[0],k[1],k[2],1]
F[81,x,k[0],k[1],k[2],k[3]] = F[14,x,k[1]]*F[82,x,k[0],k[1],k[2],k[3]]
F[82,x,k[0],k[1],k[2],k[3]] = (-F[83,x,1,k[1],k[2],k[3]]*k[1]+F[83,x,k[0]/k[1],k[1],k[2],k[3]]*k[0])/(-k[1]+k[0])
F[83,x,k[0],k[1],k[2],k[3]] = F[84,x,k[0]*k[1],k[1],k[2],k[3]]
F[84,x,k[0],k[1],k[2],k[3]] = (F[80,x,k[0],k[1],k[3]]*k[1]-F[80,x,k[0],k[2],k[3]]*k[2])/(-k[2]+k[1])
F[85,x,k[0],k[1],k[2],k[3],k[4]] = F[14,x,k[3]]*F[86,x,k[0],k[1],k[2],k[3],k[4]]
F[86,x,k[0],k[1],k[2],k[3],k[4]] = (F[87,x,k[0],k[2],k[3],k[4]]*k[0]-F[87,x,k[1],k[2],k[3],k[4]]*k[1])/(-k[1]+k[0])
F[87,x,k[0],k[1],k[2],k[3]] = (F[88,x,k[0],k[2],k[3]]*k[0]-F[88,x,k[1],k[2],k[3]]*k[1])/(-k[1]+k[0])
F[88,x,k[0],k[1],k[2]] = (-F[89,x,1,k[1],k[2]]*k[1]+F[89,x,k[0]/k[1],k[1],k[2]]*k[0])/(-k[1]+k[0])
F[89,x,k[0],k[1],k[2]] = F[80,x,k[0]*k[1],k[1],k[2]]
F[90,x,k[0],k[1],k[2],k[3],k[4]] = F[14,x,k[4]]*F[91,x,k[0],k[1],k[2],k[3],k[4]]
F[91,x,k[0],k[1],k[2],k[3],k[4]] = (F[92,x,k[0],k[2],k[3],k[4]]*k[0]-F[92,x,k[1],k[2],k[3],k[4]]*k[1])/(-k[1]+k[0])
F[92,x,k[0],k[1],k[2],k[3]] = (F[93,x,k[0],k[2],k[3]]*k[0]-F[93,x,k[1],k[2],k[3]]*k[1])/(-k[1]+k[0])
F[93,x,k[0],k[1],k[2]] = (F[94,x,k[0],k[2]]*k[0]-F[94,x,k[1],k[2]]*k[1])/(-k[1]+k[0])
F[94,x,k[0],k[1]] = F[28,x,k[0],k[1],1]
F[95,x,k[0],k[1],k[2],k[3],k[4]] = F[96,x,k[0],k[1],k[2],k[3],k[4]]*F[99,x]
F[96,x,k[0],k[1],k[2],k[3],k[4]] = (F[97,x,k[0],k[1],k[2],k[3]]*k[3]-F[97,x,k[0],k[1],k[2],k[4]]*k[4])/(-k[4]+k[3])
F[97,x,k[0],k[1],k[2],k[3]] = (F[98,x,k[0],k[1],k[2],k[3]]*k[3]-F[98,x,k[0],k[1],k[2],1])/(-1+k[3])
F[98,x,k[0],k[1],k[2],k[3]] = F[55,x,k[0],k[1],k[2],k[3],1]
F[99,x] = x
F[100,x,k[0],k[1],k[2],k[3],k[4]] = F[101,x,k[0],k[1],k[2],k[3],k[4]]*F[99,x]
F[101,x,k[0],k[1],k[2],k[3],k[4]] = F[102,x,k[0],k[1],k[2],k[3],k[4],1]
F[102,x,k[0],k[1],k[2],k[3],k[4],k[5]] = (F[103,x,k[0],k[1],k[2],k[3],k[4],k[5]]*k[5]-F[103,x,k[0],k[1],k[2],k[3],k[4],1])/(-1+k[5])
F[103,x,k[0],k[1],k[2],k[3],k[4],k[5]] = F[1,x]+F[104,x,k[0],k[1],k[2],k[3],k[4],k[5]]+F[105,x,k[1],k[2],k[3],k[4],k[5]]+F[108,x,k[1],k[2],k[3],k[4],k[5]]+F[112,x,k[0],k[1],k[2],k[3],k[4],k[5]]+F[117,x,k[0],k[1],k[2],k[3],k[4],k[5]]+F[121,x,k[0],k[1],k[2],k[3],k[4],k[5]]+F[123,x,k[0],k[1],k[2],k[3],k[4],k[5]]
F[104,x,k[0],k[1],k[2],k[3],k[4],k[5]] = F[103,x,k[0],k[1],k[2],k[3],k[4],k[5]]*F[14,x,k[0]]
F[105,x,k[0],k[1],k[2],k[3],k[4]] = F[106,x,k[0],k[1],k[2],k[3],k[4]]*F[14,x,k[0]]
F[106,x,k[0],k[1],k[2],k[3],k[4]] = (F[107,x,k[0],k[1],k[3],k[4]]*k[1]-F[107,x,k[0],k[2],k[3],k[4]]*k[2])/(-k[2]+k[1])
F[107,x,k[0],k[1],k[2],k[3]] = (F[24,x,k[0],1,k[2],k[3]]*k[0]-F[24,x,k[0],k[1]/k[0],k[2],k[3]]*k[1])/(-k[1]+k[0])
F[108,x,k[0],k[1],k[2],k[3],k[4]] = F[109,x,k[0],k[1],k[2],k[3],k[4]]*F[14,x,k[1]]
F[109,x,k[0],k[1],k[2],k[3],k[4]] = (-F[110,x,1,k[1],k[2],k[3],k[4]]*k[1]+F[110,x,k[0]/k[1],k[1],k[2],k[3],k[4]]*k[0])/(-k[1]+k[0])
F[110,x,k[0],k[1],k[2],k[3],k[4]] = F[111,x,k[0]*k[1],k[1],k[2],k[3],k[4]]
F[111,x,k[0],k[1],k[2],k[3],k[4]] = (F[25,x,k[0],k[1],k[3],k[4]]*k[1]-F[25,x,k[0],k[2],k[3],k[4]]*k[2])/(-k[2]+k[1])
F[112,x,k[0],k[1],k[2],k[3],k[4],k[5]] = F[113,x,k[0],k[1],k[2],k[3],k[4],k[5]]*F[14,x,k[3]]
F[113,x,k[0],k[1],k[2],k[3],k[4],k[5]] = (F[114,x,k[0],k[2],k[3],k[4],k[5]]*k[0]-F[114,x,k[1],k[2],k[3],k[4],k[5]]*k[1])/(-k[1]+k[0])
F[114,x,k[0],k[1],k[2],k[3],k[4]] = (F[115,x,k[0],k[2],k[3],k[4]]*k[0]-F[115,x,k[1],k[2],k[3],k[4]]*k[1])/(-k[1]+k[0])
F[115,x,k[0],k[1],k[2],k[3]] = (-F[116,x,1,k[1],k[2],k[3]]*k[1]+F[116,x,k[0]/k[1],k[1],k[2],k[3]]*k[0])/(-k[1]+k[0])
F[116,x,k[0],k[1],k[2],k[3]] = F[25,x,k[0]*k[1],k[1],k[2],k[3]]
F[117,x,k[0],k[1],k[2],k[3],k[4],k[5]] = F[118,x,k[0],k[1],k[2],k[3],k[4],k[5]]*F[14,x,k[4]]
F[118,x,k[0],k[1],k[2],k[3],k[4],k[5]] = (F[119,x,k[0],k[2],k[3],k[4],k[5]]*k[0]-F[119,x,k[1],k[2],k[3],k[4],k[5]]*k[1])/(-k[1]+k[0])
F[119,x,k[0],k[1],k[2],k[3],k[4]] = (F[120,x,k[0],k[2],k[3],k[4]]*k[0]-F[120,x,k[1],k[2],k[3],k[4]]*k[1])/(-k[1]+k[0])
F[120,x,k[0],k[1],k[2],k[3]] = (F[28,x,k[0],k[2],k[3]]*k[0]-F[28,x,k[1],k[2],k[3]]*k[1])/(-k[1]+k[0])
F[121,x,k[0],k[1],k[2],k[3],k[4],k[5]] = F[122,x,k[0],k[1],k[2],k[3],k[4],k[5]]*F[14,x,k[5]]
F[122,x,k[0],k[1],k[2],k[3],k[4],k[5]] = (F[53,x,k[0],k[1],k[2],k[3],k[5]]*k[3]-F[53,x,k[0],k[1],k[2],k[4],k[5]]*k[4])/(-k[4]+k[3])
F[123,x,k[0],k[1],k[2],k[3],k[4],k[5]] = F[102,x,k[0],k[1],k[2],k[3],k[4],k[5]]*F[99,x]
F[124,x,k[0],k[1],k[2],k[3],k[4]] = F[125,x,k[0],k[1],k[2],k[3],k[4]]*F[99,x]
F[125,x,k[0],k[1],k[2],k[3],k[4]] = (F[42,x,k[0],k[1],k[2],k[3],k[4]]*k[4]-F[42,x,k[0],k[1],k[2],k[3],1])/(-1+k[4])
F[126,x,k[0],k[1],k[2],k[3]] = F[127,x,k[0],k[1],k[2],k[3]]*F[14,x,k[3]]
F[127,x,k[0],k[1],k[2],k[3]] = (F[39,x,k[0],k[1],k[3]]*k[1]-F[39,x,k[0],k[2],k[3]]*k[2])/(-k[2]+k[1])
F[128,x,k[0],k[1],k[2],k[3]] = F[129,x,k[0],k[1],k[2],k[3]]*F[99,x]
F[129,x,k[0],k[1],k[2],k[3]] = F[1,x]+F[130,x,k[0],k[1],k[2],k[3]]+F[131,x,k[1],k[2],k[3]]+F[133,x,k[1],k[2],k[3]]+F[135,x,k[0],k[1],k[2],k[3]]+F[140,x,k[0],k[1],k[2],k[3]]+F[141,x,k[0],k[1],k[2],k[3]]
F[130,x,k[0],k[1],k[2],k[3]] = F[129,x,k[0],k[1],k[2],k[3]]*F[14,x,k[0]]
F[131,x,k[0],k[1],k[2]] = F[132,x,k[0],k[1],k[2]]*F[14,x,k[0]]
F[132,x,k[0],k[1],k[2]] = (F[23,x,k[0],k[1],k[2]]*k[2]-F[23,x,k[0],k[1],1])/(-1+k[2])
F[133,x,k[0],k[1],k[2]] = F[134,x,k[0],k[1],k[2]]*F[14,x,k[1]]
F[134,x,k[0],k[1],k[2]] = (F[28,x,k[0],k[1],k[2]]*k[2]-F[28,x,k[0],k[1],1])/(-1+k[2])
F[135,x,k[0],k[1],k[2],k[3]] = F[136,x,k[0],k[1],k[2],k[3]]*F[14,x,k[3]]
F[136,x,k[0],k[1],k[2],k[3]] = (F[137,x,k[0],k[1],k[3]]*k[1]-F[137,x,k[0],k[2],k[3]]*k[2])/(-k[2]+k[1])
F[137,x,k[0],k[1],k[2]] = (-F[138,x,k[0],1,k[2]]*k[2]+F[138,x,k[0],k[1]/k[2],k[2]]*k[1])/(-k[2]+k[1])
F[138,x,k[0],k[1],k[2]] = F[139,x,k[0],k[1]*k[2],k[2]]
F[139,x,k[0],k[1],k[2]] = F[30,x,k[0],k[1],k[2],1]
F[140,x,k[0],k[1],k[2],k[3]] = F[97,x,k[0],k[1],k[2],k[3]]*F[99,x]
F[141,x,k[0],k[1],k[2],k[3]] = F[142,x,k[0],k[1],k[2],k[3]]*F[99,x]
F[142,x,k[0],k[1],k[2],k[3]] = F[143,x,k[0],k[1],k[2],k[3],1]
F[143,x,k[0],k[1],k[2],k[3],k[4]] = (F[144,x,k[0],k[1],k[2],k[3],k[4]]*k[4]-F[144,x,k[0],k[1],k[2],k[3],1])/(-1+k[4])
F[144,x,k[0],k[1],k[2],k[3],k[4]] = F[1,x]+F[145,x,k[0],k[1],k[2],k[3],k[4]]+F[146,x,k[1],k[2],k[3],k[4]]+F[148,x,k[1],k[2],k[3],k[4]]+F[150,x,k[0],k[1],k[2],k[3],k[4]]+F[152,x,k[0],k[1],k[2],k[3],k[4]]+F[52,x,k[0],k[1],k[2],k[3],k[4]]
F[145,x,k[0],k[1],k[2],k[3],k[4]] = F[14,x,k[0]]*F[144,x,k[0],k[1],k[2],k[3],k[4]]
F[146,x,k[0],k[1],k[2],k[3]] = F[14,x,k[0]]*F[147,x,k[0],k[1],k[2],k[3]]
F[147,x,k[0],k[1],k[2],k[3]] = (F[23,x,k[0],k[1],k[2]]*k[2]-F[23,x,k[0],k[1],k[3]]*k[3])/(-k[3]+k[2])
F[148,x,k[0],k[1],k[2],k[3]] = F[14,x,k[1]]*F[149,x,k[0],k[1],k[2],k[3]]
F[149,x,k[0],k[1],k[2],k[3]] = (F[28,x,k[0],k[1],k[2]]*k[2]-F[28,x,k[0],k[1],k[3]]*k[3])/(-k[3]+k[2])
F[150,x,k[0],k[1],k[2],k[3],k[4]] = F[14,x,k[3]]*F[151,x,k[0],k[1],k[2],k[3],k[4]]
F[151,x,k[0],k[1],k[2],k[3],k[4]] = (F[50,x,k[0],k[1],k[3],k[4]]*k[1]-F[50,x,k[0],k[2],k[3],k[4]]*k[2])/(-k[2]+k[1])
F[152,x,k[0],k[1],k[2],k[3],k[4]] = F[143,x,k[0],k[1],k[2],k[3],k[4]]*F[99,x]
F[153,x,k[0],k[1],k[2],k[3]] = F[14,x,k[3]]*F[154,x,k[0],k[1],k[2],k[3]]
F[154,x,k[0],k[1],k[2],k[3]] = F[155,x,k[0],k[1],k[2],k[3],1]
F[155,x,k[0],k[1],k[2],k[3],k[4]] = F[55,x,k[0],k[1],k[2],k[3],k[3]*k[4]]
F[156,x,k[0],k[1],k[2],k[3]] = F[157,x,k[0],k[1],k[2],k[3]]*F[99,x]
F[157,x,k[0],k[1],k[2],k[3]] = (F[20,x,k[0],k[1],k[2],k[3]]*k[3]-F[20,x,k[0],k[1],k[2],1])/(-1+k[3])
F[158,x,k[0],k[1]] = F[159,x,k[0],k[1]]*F[99,x]
F[159,x,k[0],k[1]] = F[160,x,k[0],k[1],1]
F[160,x,k[0],k[1],k[2]] = F[1,x]+F[161,x,k[0],k[1],k[2]]+F[165,x,k[0],k[1],k[2]]+F[22,x,k[0],k[1],k[2]]+F[27,x,k[0],k[1],k[2]]
F[161,x,k[0],k[1],k[2]] = F[14,x,k[2]]*F[162,x,k[0],k[1],k[2]]
F[162,x,k[0],k[1],k[2]] = (F[163,x,k[0],k[2]]*k[0]-F[163,x,k[1],k[2]]*k[1])/(-k[1]+k[0])
F[163,x,k[0],k[1]] = (-F[164,x,1,k[1]]*k[1]+F[164,x,k[0]/k[1],k[1]]*k[0])/(-k[1]+k[0])
F[164,x,k[0],k[1]] = F[8,x,k[0]*k[1],k[1]]
F[165,x,k[0],k[1],k[2]] = F[166,x,k[0],k[1],k[2]]*F[99,x]
F[166,x,k[0],k[1],k[2]] = (F[160,x,k[0],k[1],k[2]]*k[2]-F[160,x,k[0],k[1],1])/(-1+k[2])
F[167,x,k[0]] = F[168,x,k[0]]*F[99,x]
F[168,x,k[0]] = (F[4,x,k[0]]*k[0]-F[4,x,1])/(-1+k[0])
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right) F_{99}\! \left(x \right)
F_{3}\! \left(x \right) = F_{4}\! \left(x , 1\right)
F_{4}\! \left(x , y_{0}\right) = F_{1}\! \left(x \right)+F_{167}\! \left(x , y_{0}\right)+F_{5}\! \left(x , y_{0}\right)
F_{5}\! \left(x , y_{0}\right) = F_{14}\! \left(x , y_{0}\right) F_{6}\! \left(x , y_{0}\right)
F_{6}\! \left(x , y_{0}\right) = F_{7}\! \left(x , y_{0}, 1\right)
F_{7}\! \left(x , y_{0}, y_{1}\right) = F_{8}\! \left(x , y_{0}, y_{0} y_{1}\right)
F_{8}\! \left(x , y_{0}, y_{1}\right) = F_{1}\! \left(x \right)+F_{15}\! \left(x , y_{0}, y_{1}\right)+F_{158}\! \left(x , y_{0}, y_{1}\right)+F_{9}\! \left(x , y_{0}, y_{1}\right)
F_{9}\! \left(x , y_{0}, y_{1}\right) = F_{10}\! \left(x , y_{0}, y_{1}\right) F_{14}\! \left(x , y_{0}\right)
F_{10}\! \left(x , y_{0}, y_{1}\right) = F_{11}\! \left(x , y_{0}, 1, y_{1}\right)
F_{11}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{12}\! \left(x , y_{0}, y_{0} y_{1}, y_{2}\right)
F_{12}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{1}\! \left(x \right)+F_{13}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{15}\! \left(x , y_{1}, y_{2}\right)+F_{18}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{9}\! \left(x , y_{1}, y_{2}\right)
F_{13}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{12}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{14}\! \left(x , y_{0}\right)
F_{14}\! \left(x , y_{0}\right) = y_{0} x
F_{15}\! \left(x , y_{0}, y_{1}\right) = F_{14}\! \left(x , y_{1}\right) F_{16}\! \left(x , y_{0}, y_{1}\right)
F_{16}\! \left(x , y_{0}, y_{1}\right) = F_{17}\! \left(x , y_{0}, 1, y_{1}\right)
F_{17}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{12}\! \left(x , y_{0}, y_{1} y_{2}, y_{2}\right)
F_{18}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{19}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{99}\! \left(x \right)
F_{19}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{20}\! \left(x , y_{0}, y_{1}, y_{2}, 1\right)
F_{20}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{1}\! \left(x \right)+F_{153}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)+F_{156}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)+F_{21}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)+F_{22}\! \left(x , y_{1}, y_{2}, y_{3}\right)+F_{27}\! \left(x , y_{1}, y_{2}, y_{3}\right)
F_{21}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{14}\! \left(x , y_{0}\right) F_{20}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)
F_{22}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{14}\! \left(x , y_{0}\right) F_{23}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{23}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{24}\! \left(x , y_{0}, 1, y_{1}, y_{2}\right)
F_{24}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{25}\! \left(x , y_{0}, y_{0} y_{1}, y_{2}, y_{3}\right)
F_{25}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{1}\! \left(x \right)+F_{126}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)+F_{128}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)+F_{22}\! \left(x , y_{1}, y_{2}, y_{3}\right)+F_{26}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)+F_{27}\! \left(x , y_{1}, y_{2}, y_{3}\right)
F_{26}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{14}\! \left(x , y_{0}\right) F_{25}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)
F_{27}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{14}\! \left(x , y_{1}\right) F_{28}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{28}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{29}\! \left(x , y_{0}, y_{1}, 1, y_{2}\right)
F_{29}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{30}\! \left(x , y_{0}, y_{1}, y_{1} y_{2}, y_{3}\right)
F_{30}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{1}\! \left(x \right)+F_{31}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)+F_{32}\! \left(x , y_{1}, y_{2}, y_{3}\right)+F_{34}\! \left(x , y_{1}, y_{2}, y_{3}\right)+F_{37}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)+F_{40}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)
F_{31}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{14}\! \left(x , y_{0}\right) F_{30}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)
F_{32}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{14}\! \left(x , y_{0}\right) F_{33}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{33}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{F_{10}\! \left(x , y_{0}, y_{1}\right) y_{1}-F_{10}\! \left(x , y_{0}, y_{2}\right) y_{2}}{-y_{2}+y_{1}}
F_{34}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{14}\! \left(x , y_{1}\right) F_{35}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{35}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{F_{36}\! \left(x , y_{0}, y_{1}, 1\right) y_{1}-F_{36}\! \left(x , y_{0}, y_{1}, \frac{y_{2}}{y_{1}}\right) y_{2}}{-y_{2}+y_{1}}
F_{36}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{12}\! \left(x , y_{0}, y_{1}, y_{1} y_{2}\right)
F_{37}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{14}\! \left(x , y_{3}\right) F_{38}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)
F_{38}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = \frac{F_{39}\! \left(x , y_{0}, y_{2}, y_{3}\right) y_{0}-F_{39}\! \left(x , y_{1}, y_{2}, y_{3}\right) y_{1}}{-y_{1}+y_{0}}
F_{39}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{F_{17}\! \left(x , y_{0}, 1, y_{2}\right) y_{2}-F_{17}\! \left(x , y_{0}, \frac{y_{1}}{y_{2}}, y_{2}\right) y_{1}}{-y_{2}+y_{1}}
F_{40}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{41}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) F_{99}\! \left(x \right)
F_{41}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{42}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, 1\right)
F_{42}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) = F_{1}\! \left(x \right)+F_{124}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)+F_{43}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)+F_{44}\! \left(x , y_{1}, y_{2}, y_{3}, y_{4}\right)+F_{46}\! \left(x , y_{1}, y_{2}, y_{3}, y_{4}\right)+F_{48}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)+F_{52}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)
F_{43}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) = F_{14}\! \left(x , y_{0}\right) F_{42}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)
F_{44}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{14}\! \left(x , y_{0}\right) F_{45}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)
F_{45}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = \frac{F_{23}\! \left(x , y_{0}, y_{1}, y_{3}\right) y_{1}-F_{23}\! \left(x , y_{0}, y_{2}, y_{3}\right) y_{2}}{-y_{2}+y_{1}}
F_{46}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{14}\! \left(x , y_{1}\right) F_{47}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)
F_{47}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = \frac{F_{29}\! \left(x , y_{0}, y_{1}, 1, y_{3}\right) y_{1}-F_{29}\! \left(x , y_{0}, y_{1}, \frac{y_{2}}{y_{1}}, y_{3}\right) y_{2}}{-y_{2}+y_{1}}
F_{48}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) = F_{14}\! \left(x , y_{3}\right) F_{49}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)
F_{49}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) = \frac{F_{50}\! \left(x , y_{0}, y_{2}, y_{3}, y_{4}\right) y_{0}-F_{50}\! \left(x , y_{1}, y_{2}, y_{3}, y_{4}\right) y_{1}}{-y_{1}+y_{0}}
F_{50}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = -\frac{F_{51}\! \left(x , y_{0}, 1, y_{2}, y_{3}\right) y_{2}-F_{51}\! \left(x , y_{0}, \frac{y_{1}}{y_{2}}, y_{2}, y_{3}\right) y_{1}}{-y_{2}+y_{1}}
F_{51}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{30}\! \left(x , y_{0}, y_{1} y_{2}, y_{2}, y_{3}\right)
F_{52}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) = F_{14}\! \left(x , y_{4}\right) F_{53}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)
F_{53}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) = -\frac{F_{54}\! \left(x , y_{0}, y_{1}, y_{2}, 1, y_{4}\right) y_{4}-F_{54}\! \left(x , y_{0}, y_{1}, y_{2}, \frac{y_{3}}{y_{4}}, y_{4}\right) y_{3}}{-y_{4}+y_{3}}
F_{54}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) = F_{55}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3} y_{4}, y_{4}\right)
F_{55}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) = F_{1}\! \left(x \right)+F_{56}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)+F_{57}\! \left(x , y_{1}, y_{2}, y_{3}, y_{4}\right)+F_{61}\! \left(x , y_{1}, y_{2}, y_{3}, y_{4}\right)+F_{64}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)+F_{69}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)+F_{73}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)
F_{56}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) = F_{14}\! \left(x , y_{0}\right) F_{55}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)
F_{57}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{14}\! \left(x , y_{0}\right) F_{58}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)
F_{58}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = \frac{F_{59}\! \left(x , y_{0}, 1, y_{2}, y_{3}\right) y_{0}-F_{59}\! \left(x , y_{0}, \frac{y_{1}}{y_{0}}, y_{2}, y_{3}\right) y_{1}}{-y_{1}+y_{0}}
F_{59}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{60}\! \left(x , y_{0}, y_{0} y_{1}, y_{2}, y_{3}\right)
F_{60}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = \frac{F_{12}\! \left(x , y_{0}, y_{1}, y_{3}\right) y_{1}-F_{12}\! \left(x , y_{0}, y_{2}, y_{3}\right) y_{2}}{-y_{2}+y_{1}}
F_{61}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{14}\! \left(x , y_{1}\right) F_{62}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)
F_{62}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = -\frac{F_{63}\! \left(x , 1, y_{1}, y_{2}, y_{3}\right) y_{1}-F_{63}\! \left(x , \frac{y_{0}}{y_{1}}, y_{1}, y_{2}, y_{3}\right) y_{0}}{-y_{1}+y_{0}}
F_{63}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{60}\! \left(x , y_{0} y_{1}, y_{1}, y_{2}, y_{3}\right)
F_{64}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) = F_{14}\! \left(x , y_{3}\right) F_{65}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)
F_{65}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) = \frac{F_{66}\! \left(x , y_{0}, y_{2}, y_{3}, y_{4}\right) y_{0}-F_{66}\! \left(x , y_{1}, y_{2}, y_{3}, y_{4}\right) y_{1}}{-y_{1}+y_{0}}
F_{66}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = \frac{F_{67}\! \left(x , y_{0}, y_{2}, y_{3}\right) y_{0}-F_{67}\! \left(x , y_{1}, y_{2}, y_{3}\right) y_{1}}{-y_{1}+y_{0}}
F_{67}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{F_{68}\! \left(x , 1, y_{1}, y_{2}\right) y_{1}-F_{68}\! \left(x , \frac{y_{0}}{y_{1}}, y_{1}, y_{2}\right) y_{0}}{-y_{1}+y_{0}}
F_{68}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{12}\! \left(x , y_{0} y_{1}, y_{1}, y_{2}\right)
F_{69}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) = F_{14}\! \left(x , y_{4}\right) F_{70}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)
F_{70}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) = \frac{F_{71}\! \left(x , y_{0}, y_{2}, y_{3}, y_{4}\right) y_{0}-F_{71}\! \left(x , y_{1}, y_{2}, y_{3}, y_{4}\right) y_{1}}{-y_{1}+y_{0}}
F_{71}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = \frac{F_{72}\! \left(x , y_{0}, y_{2}, y_{3}\right) y_{0}-F_{72}\! \left(x , y_{1}, y_{2}, y_{3}\right) y_{1}}{-y_{1}+y_{0}}
F_{72}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{F_{16}\! \left(x , y_{0}, y_{2}\right) y_{0}-F_{16}\! \left(x , y_{1}, y_{2}\right) y_{1}}{-y_{1}+y_{0}}
F_{73}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) = F_{74}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) F_{99}\! \left(x \right)
F_{74}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) = F_{1}\! \left(x \right)+F_{100}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)+F_{75}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)+F_{76}\! \left(x , y_{1}, y_{2}, y_{3}, y_{4}\right)+F_{81}\! \left(x , y_{1}, y_{2}, y_{3}, y_{4}\right)+F_{85}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)+F_{90}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)+F_{95}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)
F_{75}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) = F_{14}\! \left(x , y_{0}\right) F_{74}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)
F_{76}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{14}\! \left(x , y_{0}\right) F_{77}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)
F_{77}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = \frac{F_{78}\! \left(x , y_{0}, y_{1}, y_{3}\right) y_{1}-F_{78}\! \left(x , y_{0}, y_{2}, y_{3}\right) y_{2}}{-y_{2}+y_{1}}
F_{78}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{F_{79}\! \left(x , y_{0}, 1, y_{2}\right) y_{0}-F_{79}\! \left(x , y_{0}, \frac{y_{1}}{y_{0}}, y_{2}\right) y_{1}}{-y_{1}+y_{0}}
F_{79}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{80}\! \left(x , y_{0}, y_{0} y_{1}, y_{2}\right)
F_{80}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{25}\! \left(x , y_{0}, y_{1}, y_{2}, 1\right)
F_{81}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{14}\! \left(x , y_{1}\right) F_{82}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)
F_{82}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = -\frac{F_{83}\! \left(x , 1, y_{1}, y_{2}, y_{3}\right) y_{1}-F_{83}\! \left(x , \frac{y_{0}}{y_{1}}, y_{1}, y_{2}, y_{3}\right) y_{0}}{-y_{1}+y_{0}}
F_{83}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{84}\! \left(x , y_{0} y_{1}, y_{1}, y_{2}, y_{3}\right)
F_{84}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = \frac{F_{80}\! \left(x , y_{0}, y_{1}, y_{3}\right) y_{1}-F_{80}\! \left(x , y_{0}, y_{2}, y_{3}\right) y_{2}}{-y_{2}+y_{1}}
F_{85}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) = F_{14}\! \left(x , y_{3}\right) F_{86}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)
F_{86}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) = \frac{F_{87}\! \left(x , y_{0}, y_{2}, y_{3}, y_{4}\right) y_{0}-F_{87}\! \left(x , y_{1}, y_{2}, y_{3}, y_{4}\right) y_{1}}{-y_{1}+y_{0}}
F_{87}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = \frac{F_{88}\! \left(x , y_{0}, y_{2}, y_{3}\right) y_{0}-F_{88}\! \left(x , y_{1}, y_{2}, y_{3}\right) y_{1}}{-y_{1}+y_{0}}
F_{88}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{F_{89}\! \left(x , 1, y_{1}, y_{2}\right) y_{1}-F_{89}\! \left(x , \frac{y_{0}}{y_{1}}, y_{1}, y_{2}\right) y_{0}}{-y_{1}+y_{0}}
F_{89}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{80}\! \left(x , y_{0} y_{1}, y_{1}, y_{2}\right)
F_{90}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) = F_{14}\! \left(x , y_{4}\right) F_{91}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)
F_{91}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) = \frac{F_{92}\! \left(x , y_{0}, y_{2}, y_{3}, y_{4}\right) y_{0}-F_{92}\! \left(x , y_{1}, y_{2}, y_{3}, y_{4}\right) y_{1}}{-y_{1}+y_{0}}
F_{92}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = \frac{F_{93}\! \left(x , y_{0}, y_{2}, y_{3}\right) y_{0}-F_{93}\! \left(x , y_{1}, y_{2}, y_{3}\right) y_{1}}{-y_{1}+y_{0}}
F_{93}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{F_{94}\! \left(x , y_{0}, y_{2}\right) y_{0}-F_{94}\! \left(x , y_{1}, y_{2}\right) y_{1}}{-y_{1}+y_{0}}
F_{94}\! \left(x , y_{0}, y_{1}\right) = F_{28}\! \left(x , y_{0}, y_{1}, 1\right)
F_{95}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) = F_{96}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) F_{99}\! \left(x \right)
F_{96}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) = \frac{F_{97}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) y_{3}-F_{97}\! \left(x , y_{0}, y_{1}, y_{2}, y_{4}\right) y_{4}}{-y_{4}+y_{3}}
F_{97}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = -\frac{-F_{98}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) y_{3}+F_{98}\! \left(x , y_{0}, y_{1}, y_{2}, 1\right)}{-1+y_{3}}
F_{98}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{55}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, 1\right)
F_{99}\! \left(x \right) = x
F_{100}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) = F_{101}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) F_{99}\! \left(x \right)
F_{101}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) = F_{102}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}, 1\right)
F_{102}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}, y_{5}\right) = -\frac{-F_{103}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}, y_{5}\right) y_{5}+F_{103}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}, 1\right)}{-1+y_{5}}
F_{103}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}, y_{5}\right) = F_{1}\! \left(x \right)+F_{104}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}, y_{5}\right)+F_{105}\! \left(x , y_{1}, y_{2}, y_{3}, y_{4}, y_{5}\right)+F_{108}\! \left(x , y_{1}, y_{2}, y_{3}, y_{4}, y_{5}\right)+F_{112}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}, y_{5}\right)+F_{117}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}, y_{5}\right)+F_{121}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}, y_{5}\right)+F_{123}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}, y_{5}\right)
F_{104}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}, y_{5}\right) = F_{103}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}, y_{5}\right) F_{14}\! \left(x , y_{0}\right)
F_{105}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) = F_{106}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) F_{14}\! \left(x , y_{0}\right)
F_{106}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) = \frac{F_{107}\! \left(x , y_{0}, y_{1}, y_{3}, y_{4}\right) y_{1}-F_{107}\! \left(x , y_{0}, y_{2}, y_{3}, y_{4}\right) y_{2}}{-y_{2}+y_{1}}
F_{107}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = \frac{F_{24}\! \left(x , y_{0}, 1, y_{2}, y_{3}\right) y_{0}-F_{24}\! \left(x , y_{0}, \frac{y_{1}}{y_{0}}, y_{2}, y_{3}\right) y_{1}}{-y_{1}+y_{0}}
F_{108}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) = F_{109}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) F_{14}\! \left(x , y_{1}\right)
F_{109}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) = -\frac{F_{110}\! \left(x , 1, y_{1}, y_{2}, y_{3}, y_{4}\right) y_{1}-F_{110}\! \left(x , \frac{y_{0}}{y_{1}}, y_{1}, y_{2}, y_{3}, y_{4}\right) y_{0}}{-y_{1}+y_{0}}
F_{110}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) = F_{111}\! \left(x , y_{0} y_{1}, y_{1}, y_{2}, y_{3}, y_{4}\right)
F_{111}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) = \frac{F_{25}\! \left(x , y_{0}, y_{1}, y_{3}, y_{4}\right) y_{1}-F_{25}\! \left(x , y_{0}, y_{2}, y_{3}, y_{4}\right) y_{2}}{-y_{2}+y_{1}}
F_{112}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}, y_{5}\right) = F_{113}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}, y_{5}\right) F_{14}\! \left(x , y_{3}\right)
F_{113}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}, y_{5}\right) = \frac{F_{114}\! \left(x , y_{0}, y_{2}, y_{3}, y_{4}, y_{5}\right) y_{0}-F_{114}\! \left(x , y_{1}, y_{2}, y_{3}, y_{4}, y_{5}\right) y_{1}}{-y_{1}+y_{0}}
F_{114}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) = \frac{F_{115}\! \left(x , y_{0}, y_{2}, y_{3}, y_{4}\right) y_{0}-F_{115}\! \left(x , y_{1}, y_{2}, y_{3}, y_{4}\right) y_{1}}{-y_{1}+y_{0}}
F_{115}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = -\frac{F_{116}\! \left(x , 1, y_{1}, y_{2}, y_{3}\right) y_{1}-F_{116}\! \left(x , \frac{y_{0}}{y_{1}}, y_{1}, y_{2}, y_{3}\right) y_{0}}{-y_{1}+y_{0}}
F_{116}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{25}\! \left(x , y_{0} y_{1}, y_{1}, y_{2}, y_{3}\right)
F_{117}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}, y_{5}\right) = F_{118}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}, y_{5}\right) F_{14}\! \left(x , y_{4}\right)
F_{118}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}, y_{5}\right) = \frac{F_{119}\! \left(x , y_{0}, y_{2}, y_{3}, y_{4}, y_{5}\right) y_{0}-F_{119}\! \left(x , y_{1}, y_{2}, y_{3}, y_{4}, y_{5}\right) y_{1}}{-y_{1}+y_{0}}
F_{119}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) = \frac{F_{120}\! \left(x , y_{0}, y_{2}, y_{3}, y_{4}\right) y_{0}-F_{120}\! \left(x , y_{1}, y_{2}, y_{3}, y_{4}\right) y_{1}}{-y_{1}+y_{0}}
F_{120}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = \frac{F_{28}\! \left(x , y_{0}, y_{2}, y_{3}\right) y_{0}-F_{28}\! \left(x , y_{1}, y_{2}, y_{3}\right) y_{1}}{-y_{1}+y_{0}}
F_{121}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}, y_{5}\right) = F_{122}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}, y_{5}\right) F_{14}\! \left(x , y_{5}\right)
F_{122}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}, y_{5}\right) = \frac{F_{53}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{5}\right) y_{3}-F_{53}\! \left(x , y_{0}, y_{1}, y_{2}, y_{4}, y_{5}\right) y_{4}}{-y_{4}+y_{3}}
F_{123}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}, y_{5}\right) = F_{102}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}, y_{5}\right) F_{99}\! \left(x \right)
F_{124}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) = F_{125}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) F_{99}\! \left(x \right)
F_{125}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) = -\frac{-F_{42}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) y_{4}+F_{42}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, 1\right)}{-1+y_{4}}
F_{126}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{127}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) F_{14}\! \left(x , y_{3}\right)
F_{127}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = \frac{F_{39}\! \left(x , y_{0}, y_{1}, y_{3}\right) y_{1}-F_{39}\! \left(x , y_{0}, y_{2}, y_{3}\right) y_{2}}{-y_{2}+y_{1}}
F_{128}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{129}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) F_{99}\! \left(x \right)
F_{129}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{1}\! \left(x \right)+F_{130}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)+F_{131}\! \left(x , y_{1}, y_{2}, y_{3}\right)+F_{133}\! \left(x , y_{1}, y_{2}, y_{3}\right)+F_{135}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)+F_{140}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)+F_{141}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)
F_{130}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{129}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) F_{14}\! \left(x , y_{0}\right)
F_{131}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{132}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{14}\! \left(x , y_{0}\right)
F_{132}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-F_{23}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{2}+F_{23}\! \left(x , y_{0}, y_{1}, 1\right)}{-1+y_{2}}
F_{133}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{134}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{14}\! \left(x , y_{1}\right)
F_{134}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-F_{28}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{2}+F_{28}\! \left(x , y_{0}, y_{1}, 1\right)}{-1+y_{2}}
F_{135}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{136}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) F_{14}\! \left(x , y_{3}\right)
F_{136}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = \frac{F_{137}\! \left(x , y_{0}, y_{1}, y_{3}\right) y_{1}-F_{137}\! \left(x , y_{0}, y_{2}, y_{3}\right) y_{2}}{-y_{2}+y_{1}}
F_{137}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{F_{138}\! \left(x , y_{0}, 1, y_{2}\right) y_{2}-F_{138}\! \left(x , y_{0}, \frac{y_{1}}{y_{2}}, y_{2}\right) y_{1}}{-y_{2}+y_{1}}
F_{138}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{139}\! \left(x , y_{0}, y_{1} y_{2}, y_{2}\right)
F_{139}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{30}\! \left(x , y_{0}, y_{1}, y_{2}, 1\right)
F_{140}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{97}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) F_{99}\! \left(x \right)
F_{141}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{142}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) F_{99}\! \left(x \right)
F_{142}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{143}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, 1\right)
F_{143}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) = -\frac{-F_{144}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) y_{4}+F_{144}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, 1\right)}{-1+y_{4}}
F_{144}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) = F_{1}\! \left(x \right)+F_{145}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)+F_{146}\! \left(x , y_{1}, y_{2}, y_{3}, y_{4}\right)+F_{148}\! \left(x , y_{1}, y_{2}, y_{3}, y_{4}\right)+F_{150}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)+F_{152}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)+F_{52}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)
F_{145}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) = F_{14}\! \left(x , y_{0}\right) F_{144}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)
F_{146}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{14}\! \left(x , y_{0}\right) F_{147}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)
F_{147}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = \frac{F_{23}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{2}-F_{23}\! \left(x , y_{0}, y_{1}, y_{3}\right) y_{3}}{-y_{3}+y_{2}}
F_{148}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{14}\! \left(x , y_{1}\right) F_{149}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)
F_{149}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = \frac{F_{28}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{2}-F_{28}\! \left(x , y_{0}, y_{1}, y_{3}\right) y_{3}}{-y_{3}+y_{2}}
F_{150}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) = F_{14}\! \left(x , y_{3}\right) F_{151}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right)
F_{151}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) = \frac{F_{50}\! \left(x , y_{0}, y_{1}, y_{3}, y_{4}\right) y_{1}-F_{50}\! \left(x , y_{0}, y_{2}, y_{3}, y_{4}\right) y_{2}}{-y_{2}+y_{1}}
F_{152}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) = F_{143}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) F_{99}\! \left(x \right)
F_{153}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{14}\! \left(x , y_{3}\right) F_{154}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)
F_{154}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{155}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, 1\right)
F_{155}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{4}\right) = F_{55}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}, y_{3} y_{4}\right)
F_{156}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{157}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) F_{99}\! \left(x \right)
F_{157}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = -\frac{-F_{20}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) y_{3}+F_{20}\! \left(x , y_{0}, y_{1}, y_{2}, 1\right)}{-1+y_{3}}
F_{158}\! \left(x , y_{0}, y_{1}\right) = F_{159}\! \left(x , y_{0}, y_{1}\right) F_{99}\! \left(x \right)
F_{159}\! \left(x , y_{0}, y_{1}\right) = F_{160}\! \left(x , y_{0}, y_{1}, 1\right)
F_{160}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{1}\! \left(x \right)+F_{161}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{165}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{22}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{27}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{161}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{14}\! \left(x , y_{2}\right) F_{162}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{162}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{F_{163}\! \left(x , y_{0}, y_{2}\right) y_{0}-F_{163}\! \left(x , y_{1}, y_{2}\right) y_{1}}{-y_{1}+y_{0}}
F_{163}\! \left(x , y_{0}, y_{1}\right) = -\frac{F_{164}\! \left(x , 1, y_{1}\right) y_{1}-F_{164}\! \left(x , \frac{y_{0}}{y_{1}}, y_{1}\right) y_{0}}{-y_{1}+y_{0}}
F_{164}\! \left(x , y_{0}, y_{1}\right) = F_{8}\! \left(x , y_{0} y_{1}, y_{1}\right)
F_{165}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{166}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{99}\! \left(x \right)
F_{166}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-F_{160}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{2}+F_{160}\! \left(x , y_{0}, y_{1}, 1\right)}{-1+y_{2}}
F_{167}\! \left(x , y_{0}\right) = F_{168}\! \left(x , y_{0}\right) F_{99}\! \left(x \right)
F_{168}\! \left(x , y_{0}\right) = -\frac{-y_{0} F_{4}\! \left(x , y_{0}\right)+F_{4}\! \left(x , 1\right)}{-1+y_{0}}
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)*F_99(x))
Eq(F_3(x), F_4(x, 1))
Eq(F_4(x, k_0), F_1(x) + F_167(x, k_0) + F_5(x, k_0))
Eq(F_5(x, k_0), F_14(x, k_0)*F_6(x, k_0))
Eq(F_6(x, k_0), F_7(x, k_0, 1))
Eq(F_7(x, k_0, k_1), F_8(x, k_0, k_0*k_1))
Eq(F_8(x, k_0, k_1), F_1(x) + F_15(x, k_0, k_1) + F_158(x, k_0, k_1) + F_9(x, k_0, k_1))
Eq(F_9(x, k_0, k_1), F_10(x, k_0, k_1)*F_14(x, k_0))
Eq(F_10(x, k_0, k_1), F_11(x, k_0, 1, k_1))
Eq(F_11(x, k_0, k_1, k_2), F_12(x, k_0, k_0*k_1, k_2))
Eq(F_12(x, k_0, k_1, k_2), F_1(x) + F_13(x, k_0, k_1, k_2) + F_15(x, k_1, k_2) + F_18(x, k_0, k_1, k_2) + F_9(x, k_1, k_2))
Eq(F_13(x, k_0, k_1, k_2), F_12(x, k_0, k_1, k_2)*F_14(x, k_0))
Eq(F_14(x, k_0), k_0*x)
Eq(F_15(x, k_0, k_1), F_14(x, k_1)*F_16(x, k_0, k_1))
Eq(F_16(x, k_0, k_1), F_17(x, k_0, 1, k_1))
Eq(F_17(x, k_0, k_1, k_2), F_12(x, k_0, k_1*k_2, k_2))
Eq(F_18(x, k_0, k_1, k_2), F_19(x, k_0, k_1, k_2)*F_99(x))
Eq(F_19(x, k_0, k_1, k_2), F_20(x, k_0, k_1, k_2, 1))
Eq(F_20(x, k_0, k_1, k_2, k_3), F_1(x) + F_153(x, k_0, k_1, k_2, k_3) + F_156(x, k_0, k_1, k_2, k_3) + F_21(x, k_0, k_1, k_2, k_3) + F_22(x, k_1, k_2, k_3) + F_27(x, k_1, k_2, k_3))
Eq(F_21(x, k_0, k_1, k_2, k_3), F_14(x, k_0)*F_20(x, k_0, k_1, k_2, k_3))
Eq(F_22(x, k_0, k_1, k_2), F_14(x, k_0)*F_23(x, k_0, k_1, k_2))
Eq(F_23(x, k_0, k_1, k_2), F_24(x, k_0, 1, k_1, k_2))
Eq(F_24(x, k_0, k_1, k_2, k_3), F_25(x, k_0, k_0*k_1, k_2, k_3))
Eq(F_25(x, k_0, k_1, k_2, k_3), F_1(x) + F_126(x, k_0, k_1, k_2, k_3) + F_128(x, k_0, k_1, k_2, k_3) + F_22(x, k_1, k_2, k_3) + F_26(x, k_0, k_1, k_2, k_3) + F_27(x, k_1, k_2, k_3))
Eq(F_26(x, k_0, k_1, k_2, k_3), F_14(x, k_0)*F_25(x, k_0, k_1, k_2, k_3))
Eq(F_27(x, k_0, k_1, k_2), F_14(x, k_1)*F_28(x, k_0, k_1, k_2))
Eq(F_28(x, k_0, k_1, k_2), F_29(x, k_0, k_1, 1, k_2))
Eq(F_29(x, k_0, k_1, k_2, k_3), F_30(x, k_0, k_1, k_1*k_2, k_3))
Eq(F_30(x, k_0, k_1, k_2, k_3), F_1(x) + F_31(x, k_0, k_1, k_2, k_3) + F_32(x, k_1, k_2, k_3) + F_34(x, k_1, k_2, k_3) + F_37(x, k_0, k_1, k_2, k_3) + F_40(x, k_0, k_1, k_2, k_3))
Eq(F_31(x, k_0, k_1, k_2, k_3), F_14(x, k_0)*F_30(x, k_0, k_1, k_2, k_3))
Eq(F_32(x, k_0, k_1, k_2), F_14(x, k_0)*F_33(x, k_0, k_1, k_2))
Eq(F_33(x, k_0, k_1, k_2), (-k_1*F_10(x, k_0, k_1) + k_2*F_10(x, k_0, k_2))/(-k_1 + k_2))
Eq(F_34(x, k_0, k_1, k_2), F_14(x, k_1)*F_35(x, k_0, k_1, k_2))
Eq(F_35(x, k_0, k_1, k_2), (-k_1*F_36(x, k_0, k_1, 1) + k_2*F_36(x, k_0, k_1, k_2/k_1))/(-k_1 + k_2))
Eq(F_36(x, k_0, k_1, k_2), F_12(x, k_0, k_1, k_1*k_2))
Eq(F_37(x, k_0, k_1, k_2, k_3), F_14(x, k_3)*F_38(x, k_0, k_1, k_2, k_3))
Eq(F_38(x, k_0, k_1, k_2, k_3), (-k_0*F_39(x, k_0, k_2, k_3) + k_1*F_39(x, k_1, k_2, k_3))/(-k_0 + k_1))
Eq(F_39(x, k_0, k_1, k_2), (-k_1*F_17(x, k_0, k_1/k_2, k_2) + k_2*F_17(x, k_0, 1, k_2))/(-k_1 + k_2))
Eq(F_40(x, k_0, k_1, k_2, k_3), F_41(x, k_0, k_1, k_2, k_3)*F_99(x))
Eq(F_41(x, k_0, k_1, k_2, k_3), F_42(x, k_0, k_1, k_2, k_3, 1))
Eq(F_42(x, k_0, k_1, k_2, k_3, k_4), F_1(x) + F_124(x, k_0, k_1, k_2, k_3, k_4) + F_43(x, k_0, k_1, k_2, k_3, k_4) + F_44(x, k_1, k_2, k_3, k_4) + F_46(x, k_1, k_2, k_3, k_4) + F_48(x, k_0, k_1, k_2, k_3, k_4) + F_52(x, k_0, k_1, k_2, k_3, k_4))
Eq(F_43(x, k_0, k_1, k_2, k_3, k_4), F_14(x, k_0)*F_42(x, k_0, k_1, k_2, k_3, k_4))
Eq(F_44(x, k_0, k_1, k_2, k_3), F_14(x, k_0)*F_45(x, k_0, k_1, k_2, k_3))
Eq(F_45(x, k_0, k_1, k_2, k_3), (-k_1*F_23(x, k_0, k_1, k_3) + k_2*F_23(x, k_0, k_2, k_3))/(-k_1 + k_2))
Eq(F_46(x, k_0, k_1, k_2, k_3), F_14(x, k_1)*F_47(x, k_0, k_1, k_2, k_3))
Eq(F_47(x, k_0, k_1, k_2, k_3), (-k_1*F_29(x, k_0, k_1, 1, k_3) + k_2*F_29(x, k_0, k_1, k_2/k_1, k_3))/(-k_1 + k_2))
Eq(F_48(x, k_0, k_1, k_2, k_3, k_4), F_14(x, k_3)*F_49(x, k_0, k_1, k_2, k_3, k_4))
Eq(F_49(x, k_0, k_1, k_2, k_3, k_4), (-k_0*F_50(x, k_0, k_2, k_3, k_4) + k_1*F_50(x, k_1, k_2, k_3, k_4))/(-k_0 + k_1))
Eq(F_50(x, k_0, k_1, k_2, k_3), (-k_1*F_51(x, k_0, k_1/k_2, k_2, k_3) + k_2*F_51(x, k_0, 1, k_2, k_3))/(-k_1 + k_2))
Eq(F_51(x, k_0, k_1, k_2, k_3), F_30(x, k_0, k_1*k_2, k_2, k_3))
Eq(F_52(x, k_0, k_1, k_2, k_3, k_4), F_14(x, k_4)*F_53(x, k_0, k_1, k_2, k_3, k_4))
Eq(F_53(x, k_0, k_1, k_2, k_3, k_4), (-k_3*F_54(x, k_0, k_1, k_2, k_3/k_4, k_4) + k_4*F_54(x, k_0, k_1, k_2, 1, k_4))/(-k_3 + k_4))
Eq(F_54(x, k_0, k_1, k_2, k_3, k_4), F_55(x, k_0, k_1, k_2, k_3*k_4, k_4))
Eq(F_55(x, k_0, k_1, k_2, k_3, k_4), F_1(x) + F_56(x, k_0, k_1, k_2, k_3, k_4) + F_57(x, k_1, k_2, k_3, k_4) + F_61(x, k_1, k_2, k_3, k_4) + F_64(x, k_0, k_1, k_2, k_3, k_4) + F_69(x, k_0, k_1, k_2, k_3, k_4) + F_73(x, k_0, k_1, k_2, k_3, k_4))
Eq(F_56(x, k_0, k_1, k_2, k_3, k_4), F_14(x, k_0)*F_55(x, k_0, k_1, k_2, k_3, k_4))
Eq(F_57(x, k_0, k_1, k_2, k_3), F_14(x, k_0)*F_58(x, k_0, k_1, k_2, k_3))
Eq(F_58(x, k_0, k_1, k_2, k_3), (-k_0*F_59(x, k_0, 1, k_2, k_3) + k_1*F_59(x, k_0, k_1/k_0, k_2, k_3))/(-k_0 + k_1))
Eq(F_59(x, k_0, k_1, k_2, k_3), F_60(x, k_0, k_0*k_1, k_2, k_3))
Eq(F_60(x, k_0, k_1, k_2, k_3), (-k_1*F_12(x, k_0, k_1, k_3) + k_2*F_12(x, k_0, k_2, k_3))/(-k_1 + k_2))
Eq(F_61(x, k_0, k_1, k_2, k_3), F_14(x, k_1)*F_62(x, k_0, k_1, k_2, k_3))
Eq(F_62(x, k_0, k_1, k_2, k_3), (-k_0*F_63(x, k_0/k_1, k_1, k_2, k_3) + k_1*F_63(x, 1, k_1, k_2, k_3))/(-k_0 + k_1))
Eq(F_63(x, k_0, k_1, k_2, k_3), F_60(x, k_0*k_1, k_1, k_2, k_3))
Eq(F_64(x, k_0, k_1, k_2, k_3, k_4), F_14(x, k_3)*F_65(x, k_0, k_1, k_2, k_3, k_4))
Eq(F_65(x, k_0, k_1, k_2, k_3, k_4), (-k_0*F_66(x, k_0, k_2, k_3, k_4) + k_1*F_66(x, k_1, k_2, k_3, k_4))/(-k_0 + k_1))
Eq(F_66(x, k_0, k_1, k_2, k_3), (-k_0*F_67(x, k_0, k_2, k_3) + k_1*F_67(x, k_1, k_2, k_3))/(-k_0 + k_1))
Eq(F_67(x, k_0, k_1, k_2), (-k_0*F_68(x, k_0/k_1, k_1, k_2) + k_1*F_68(x, 1, k_1, k_2))/(-k_0 + k_1))
Eq(F_68(x, k_0, k_1, k_2), F_12(x, k_0*k_1, k_1, k_2))
Eq(F_69(x, k_0, k_1, k_2, k_3, k_4), F_14(x, k_4)*F_70(x, k_0, k_1, k_2, k_3, k_4))
Eq(F_70(x, k_0, k_1, k_2, k_3, k_4), (-k_0*F_71(x, k_0, k_2, k_3, k_4) + k_1*F_71(x, k_1, k_2, k_3, k_4))/(-k_0 + k_1))
Eq(F_71(x, k_0, k_1, k_2, k_3), (-k_0*F_72(x, k_0, k_2, k_3) + k_1*F_72(x, k_1, k_2, k_3))/(-k_0 + k_1))
Eq(F_72(x, k_0, k_1, k_2), (-k_0*F_16(x, k_0, k_2) + k_1*F_16(x, k_1, k_2))/(-k_0 + k_1))
Eq(F_73(x, k_0, k_1, k_2, k_3, k_4), F_74(x, k_0, k_1, k_2, k_3, k_4)*F_99(x))
Eq(F_74(x, k_0, k_1, k_2, k_3, k_4), F_1(x) + F_100(x, k_0, k_1, k_2, k_3, k_4) + F_75(x, k_0, k_1, k_2, k_3, k_4) + F_76(x, k_1, k_2, k_3, k_4) + F_81(x, k_1, k_2, k_3, k_4) + F_85(x, k_0, k_1, k_2, k_3, k_4) + F_90(x, k_0, k_1, k_2, k_3, k_4) + F_95(x, k_0, k_1, k_2, k_3, k_4))
Eq(F_75(x, k_0, k_1, k_2, k_3, k_4), F_14(x, k_0)*F_74(x, k_0, k_1, k_2, k_3, k_4))
Eq(F_76(x, k_0, k_1, k_2, k_3), F_14(x, k_0)*F_77(x, k_0, k_1, k_2, k_3))
Eq(F_77(x, k_0, k_1, k_2, k_3), (-k_1*F_78(x, k_0, k_1, k_3) + k_2*F_78(x, k_0, k_2, k_3))/(-k_1 + k_2))
Eq(F_78(x, k_0, k_1, k_2), (-k_0*F_79(x, k_0, 1, k_2) + k_1*F_79(x, k_0, k_1/k_0, k_2))/(-k_0 + k_1))
Eq(F_79(x, k_0, k_1, k_2), F_80(x, k_0, k_0*k_1, k_2))
Eq(F_80(x, k_0, k_1, k_2), F_25(x, k_0, k_1, k_2, 1))
Eq(F_81(x, k_0, k_1, k_2, k_3), F_14(x, k_1)*F_82(x, k_0, k_1, k_2, k_3))
Eq(F_82(x, k_0, k_1, k_2, k_3), (-k_0*F_83(x, k_0/k_1, k_1, k_2, k_3) + k_1*F_83(x, 1, k_1, k_2, k_3))/(-k_0 + k_1))
Eq(F_83(x, k_0, k_1, k_2, k_3), F_84(x, k_0*k_1, k_1, k_2, k_3))
Eq(F_84(x, k_0, k_1, k_2, k_3), (-k_1*F_80(x, k_0, k_1, k_3) + k_2*F_80(x, k_0, k_2, k_3))/(-k_1 + k_2))
Eq(F_85(x, k_0, k_1, k_2, k_3, k_4), F_14(x, k_3)*F_86(x, k_0, k_1, k_2, k_3, k_4))
Eq(F_86(x, k_0, k_1, k_2, k_3, k_4), (-k_0*F_87(x, k_0, k_2, k_3, k_4) + k_1*F_87(x, k_1, k_2, k_3, k_4))/(-k_0 + k_1))
Eq(F_87(x, k_0, k_1, k_2, k_3), (-k_0*F_88(x, k_0, k_2, k_3) + k_1*F_88(x, k_1, k_2, k_3))/(-k_0 + k_1))
Eq(F_88(x, k_0, k_1, k_2), (-k_0*F_89(x, k_0/k_1, k_1, k_2) + k_1*F_89(x, 1, k_1, k_2))/(-k_0 + k_1))
Eq(F_89(x, k_0, k_1, k_2), F_80(x, k_0*k_1, k_1, k_2))
Eq(F_90(x, k_0, k_1, k_2, k_3, k_4), F_14(x, k_4)*F_91(x, k_0, k_1, k_2, k_3, k_4))
Eq(F_91(x, k_0, k_1, k_2, k_3, k_4), (-k_0*F_92(x, k_0, k_2, k_3, k_4) + k_1*F_92(x, k_1, k_2, k_3, k_4))/(-k_0 + k_1))
Eq(F_92(x, k_0, k_1, k_2, k_3), (-k_0*F_93(x, k_0, k_2, k_3) + k_1*F_93(x, k_1, k_2, k_3))/(-k_0 + k_1))
Eq(F_93(x, k_0, k_1, k_2), (-k_0*F_94(x, k_0, k_2) + k_1*F_94(x, k_1, k_2))/(-k_0 + k_1))
Eq(F_94(x, k_0, k_1), F_28(x, k_0, k_1, 1))
Eq(F_95(x, k_0, k_1, k_2, k_3, k_4), F_96(x, k_0, k_1, k_2, k_3, k_4)*F_99(x))
Eq(F_96(x, k_0, k_1, k_2, k_3, k_4), (-k_3*F_97(x, k_0, k_1, k_2, k_3) + k_4*F_97(x, k_0, k_1, k_2, k_4))/(-k_3 + k_4))
Eq(F_97(x, k_0, k_1, k_2, k_3), (-k_3*F_98(x, k_0, k_1, k_2, k_3) + F_98(x, k_0, k_1, k_2, 1))/(1 - k_3))
Eq(F_98(x, k_0, k_1, k_2, k_3), F_55(x, k_0, k_1, k_2, k_3, 1))
Eq(F_99(x), x)
Eq(F_100(x, k_0, k_1, k_2, k_3, k_4), F_101(x, k_0, k_1, k_2, k_3, k_4)*F_99(x))
Eq(F_101(x, k_0, k_1, k_2, k_3, k_4), F_102(x, k_0, k_1, k_2, k_3, k_4, 1))
Eq(F_102(x, k_0, k_1, k_2, k_3, k_4, k_5), (-k_5*F_103(x, k_0, k_1, k_2, k_3, k_4, k_5) + F_103(x, k_0, k_1, k_2, k_3, k_4, 1))/(1 - k_5))
Eq(F_103(x, k_0, k_1, k_2, k_3, k_4, k_5), F_1(x) + F_104(x, k_0, k_1, k_2, k_3, k_4, k_5) + F_105(x, k_1, k_2, k_3, k_4, k_5) + F_108(x, k_1, k_2, k_3, k_4, k_5) + F_112(x, k_0, k_1, k_2, k_3, k_4, k_5) + F_117(x, k_0, k_1, k_2, k_3, k_4, k_5) + F_121(x, k_0, k_1, k_2, k_3, k_4, k_5) + F_123(x, k_0, k_1, k_2, k_3, k_4, k_5))
Eq(F_104(x, k_0, k_1, k_2, k_3, k_4, k_5), F_103(x, k_0, k_1, k_2, k_3, k_4, k_5)*F_14(x, k_0))
Eq(F_105(x, k_0, k_1, k_2, k_3, k_4), F_106(x, k_0, k_1, k_2, k_3, k_4)*F_14(x, k_0))
Eq(F_106(x, k_0, k_1, k_2, k_3, k_4), (-k_1*F_107(x, k_0, k_1, k_3, k_4) + k_2*F_107(x, k_0, k_2, k_3, k_4))/(-k_1 + k_2))
Eq(F_107(x, k_0, k_1, k_2, k_3), (-k_0*F_24(x, k_0, 1, k_2, k_3) + k_1*F_24(x, k_0, k_1/k_0, k_2, k_3))/(-k_0 + k_1))
Eq(F_108(x, k_0, k_1, k_2, k_3, k_4), F_109(x, k_0, k_1, k_2, k_3, k_4)*F_14(x, k_1))
Eq(F_109(x, k_0, k_1, k_2, k_3, k_4), (-k_0*F_110(x, k_0/k_1, k_1, k_2, k_3, k_4) + k_1*F_110(x, 1, k_1, k_2, k_3, k_4))/(-k_0 + k_1))
Eq(F_110(x, k_0, k_1, k_2, k_3, k_4), F_111(x, k_0*k_1, k_1, k_2, k_3, k_4))
Eq(F_111(x, k_0, k_1, k_2, k_3, k_4), (-k_1*F_25(x, k_0, k_1, k_3, k_4) + k_2*F_25(x, k_0, k_2, k_3, k_4))/(-k_1 + k_2))
Eq(F_112(x, k_0, k_1, k_2, k_3, k_4, k_5), F_113(x, k_0, k_1, k_2, k_3, k_4, k_5)*F_14(x, k_3))
Eq(F_113(x, k_0, k_1, k_2, k_3, k_4, k_5), (-k_0*F_114(x, k_0, k_2, k_3, k_4, k_5) + k_1*F_114(x, k_1, k_2, k_3, k_4, k_5))/(-k_0 + k_1))
Eq(F_114(x, k_0, k_1, k_2, k_3, k_4), (-k_0*F_115(x, k_0, k_2, k_3, k_4) + k_1*F_115(x, k_1, k_2, k_3, k_4))/(-k_0 + k_1))
Eq(F_115(x, k_0, k_1, k_2, k_3), (-k_0*F_116(x, k_0/k_1, k_1, k_2, k_3) + k_1*F_116(x, 1, k_1, k_2, k_3))/(-k_0 + k_1))
Eq(F_116(x, k_0, k_1, k_2, k_3), F_25(x, k_0*k_1, k_1, k_2, k_3))
Eq(F_117(x, k_0, k_1, k_2, k_3, k_4, k_5), F_118(x, k_0, k_1, k_2, k_3, k_4, k_5)*F_14(x, k_4))
Eq(F_118(x, k_0, k_1, k_2, k_3, k_4, k_5), (-k_0*F_119(x, k_0, k_2, k_3, k_4, k_5) + k_1*F_119(x, k_1, k_2, k_3, k_4, k_5))/(-k_0 + k_1))
Eq(F_119(x, k_0, k_1, k_2, k_3, k_4), (-k_0*F_120(x, k_0, k_2, k_3, k_4) + k_1*F_120(x, k_1, k_2, k_3, k_4))/(-k_0 + k_1))
Eq(F_120(x, k_0, k_1, k_2, k_3), (-k_0*F_28(x, k_0, k_2, k_3) + k_1*F_28(x, k_1, k_2, k_3))/(-k_0 + k_1))
Eq(F_121(x, k_0, k_1, k_2, k_3, k_4, k_5), F_122(x, k_0, k_1, k_2, k_3, k_4, k_5)*F_14(x, k_5))
Eq(F_122(x, k_0, k_1, k_2, k_3, k_4, k_5), (-k_3*F_53(x, k_0, k_1, k_2, k_3, k_5) + k_4*F_53(x, k_0, k_1, k_2, k_4, k_5))/(-k_3 + k_4))
Eq(F_123(x, k_0, k_1, k_2, k_3, k_4, k_5), F_102(x, k_0, k_1, k_2, k_3, k_4, k_5)*F_99(x))
Eq(F_124(x, k_0, k_1, k_2, k_3, k_4), F_125(x, k_0, k_1, k_2, k_3, k_4)*F_99(x))
Eq(F_125(x, k_0, k_1, k_2, k_3, k_4), (-k_4*F_42(x, k_0, k_1, k_2, k_3, k_4) + F_42(x, k_0, k_1, k_2, k_3, 1))/(1 - k_4))
Eq(F_126(x, k_0, k_1, k_2, k_3), F_127(x, k_0, k_1, k_2, k_3)*F_14(x, k_3))
Eq(F_127(x, k_0, k_1, k_2, k_3), (-k_1*F_39(x, k_0, k_1, k_3) + k_2*F_39(x, k_0, k_2, k_3))/(-k_1 + k_2))
Eq(F_128(x, k_0, k_1, k_2, k_3), F_129(x, k_0, k_1, k_2, k_3)*F_99(x))
Eq(F_129(x, k_0, k_1, k_2, k_3), F_1(x) + F_130(x, k_0, k_1, k_2, k_3) + F_131(x, k_1, k_2, k_3) + F_133(x, k_1, k_2, k_3) + F_135(x, k_0, k_1, k_2, k_3) + F_140(x, k_0, k_1, k_2, k_3) + F_141(x, k_0, k_1, k_2, k_3))
Eq(F_130(x, k_0, k_1, k_2, k_3), F_129(x, k_0, k_1, k_2, k_3)*F_14(x, k_0))
Eq(F_131(x, k_0, k_1, k_2), F_132(x, k_0, k_1, k_2)*F_14(x, k_0))
Eq(F_132(x, k_0, k_1, k_2), (-k_2*F_23(x, k_0, k_1, k_2) + F_23(x, k_0, k_1, 1))/(1 - k_2))
Eq(F_133(x, k_0, k_1, k_2), F_134(x, k_0, k_1, k_2)*F_14(x, k_1))
Eq(F_134(x, k_0, k_1, k_2), (-k_2*F_28(x, k_0, k_1, k_2) + F_28(x, k_0, k_1, 1))/(1 - k_2))
Eq(F_135(x, k_0, k_1, k_2, k_3), F_136(x, k_0, k_1, k_2, k_3)*F_14(x, k_3))
Eq(F_136(x, k_0, k_1, k_2, k_3), (-k_1*F_137(x, k_0, k_1, k_3) + k_2*F_137(x, k_0, k_2, k_3))/(-k_1 + k_2))
Eq(F_137(x, k_0, k_1, k_2), (-k_1*F_138(x, k_0, k_1/k_2, k_2) + k_2*F_138(x, k_0, 1, k_2))/(-k_1 + k_2))
Eq(F_138(x, k_0, k_1, k_2), F_139(x, k_0, k_1*k_2, k_2))
Eq(F_139(x, k_0, k_1, k_2), F_30(x, k_0, k_1, k_2, 1))
Eq(F_140(x, k_0, k_1, k_2, k_3), F_97(x, k_0, k_1, k_2, k_3)*F_99(x))
Eq(F_141(x, k_0, k_1, k_2, k_3), F_142(x, k_0, k_1, k_2, k_3)*F_99(x))
Eq(F_142(x, k_0, k_1, k_2, k_3), F_143(x, k_0, k_1, k_2, k_3, 1))
Eq(F_143(x, k_0, k_1, k_2, k_3, k_4), (-k_4*F_144(x, k_0, k_1, k_2, k_3, k_4) + F_144(x, k_0, k_1, k_2, k_3, 1))/(1 - k_4))
Eq(F_144(x, k_0, k_1, k_2, k_3, k_4), F_1(x) + F_145(x, k_0, k_1, k_2, k_3, k_4) + F_146(x, k_1, k_2, k_3, k_4) + F_148(x, k_1, k_2, k_3, k_4) + F_150(x, k_0, k_1, k_2, k_3, k_4) + F_152(x, k_0, k_1, k_2, k_3, k_4) + F_52(x, k_0, k_1, k_2, k_3, k_4))
Eq(F_145(x, k_0, k_1, k_2, k_3, k_4), F_14(x, k_0)*F_144(x, k_0, k_1, k_2, k_3, k_4))
Eq(F_146(x, k_0, k_1, k_2, k_3), F_14(x, k_0)*F_147(x, k_0, k_1, k_2, k_3))
Eq(F_147(x, k_0, k_1, k_2, k_3), (-k_2*F_23(x, k_0, k_1, k_2) + k_3*F_23(x, k_0, k_1, k_3))/(-k_2 + k_3))
Eq(F_148(x, k_0, k_1, k_2, k_3), F_14(x, k_1)*F_149(x, k_0, k_1, k_2, k_3))
Eq(F_149(x, k_0, k_1, k_2, k_3), (-k_2*F_28(x, k_0, k_1, k_2) + k_3*F_28(x, k_0, k_1, k_3))/(-k_2 + k_3))
Eq(F_150(x, k_0, k_1, k_2, k_3, k_4), F_14(x, k_3)*F_151(x, k_0, k_1, k_2, k_3, k_4))
Eq(F_151(x, k_0, k_1, k_2, k_3, k_4), (-k_1*F_50(x, k_0, k_1, k_3, k_4) + k_2*F_50(x, k_0, k_2, k_3, k_4))/(-k_1 + k_2))
Eq(F_152(x, k_0, k_1, k_2, k_3, k_4), F_143(x, k_0, k_1, k_2, k_3, k_4)*F_99(x))
Eq(F_153(x, k_0, k_1, k_2, k_3), F_14(x, k_3)*F_154(x, k_0, k_1, k_2, k_3))
Eq(F_154(x, k_0, k_1, k_2, k_3), F_155(x, k_0, k_1, k_2, k_3, 1))
Eq(F_155(x, k_0, k_1, k_2, k_3, k_4), F_55(x, k_0, k_1, k_2, k_3, k_3*k_4))
Eq(F_156(x, k_0, k_1, k_2, k_3), F_157(x, k_0, k_1, k_2, k_3)*F_99(x))
Eq(F_157(x, k_0, k_1, k_2, k_3), (-k_3*F_20(x, k_0, k_1, k_2, k_3) + F_20(x, k_0, k_1, k_2, 1))/(1 - k_3))
Eq(F_158(x, k_0, k_1), F_159(x, k_0, k_1)*F_99(x))
Eq(F_159(x, k_0, k_1), F_160(x, k_0, k_1, 1))
Eq(F_160(x, k_0, k_1, k_2), F_1(x) + F_161(x, k_0, k_1, k_2) + F_165(x, k_0, k_1, k_2) + F_22(x, k_0, k_1, k_2) + F_27(x, k_0, k_1, k_2))
Eq(F_161(x, k_0, k_1, k_2), F_14(x, k_2)*F_162(x, k_0, k_1, k_2))
Eq(F_162(x, k_0, k_1, k_2), (-k_0*F_163(x, k_0, k_2) + k_1*F_163(x, k_1, k_2))/(-k_0 + k_1))
Eq(F_163(x, k_0, k_1), (-k_0*F_164(x, k_0/k_1, k_1) + k_1*F_164(x, 1, k_1))/(-k_0 + k_1))
Eq(F_164(x, k_0, k_1), F_8(x, k_0*k_1, k_1))
Eq(F_165(x, k_0, k_1, k_2), F_166(x, k_0, k_1, k_2)*F_99(x))
Eq(F_166(x, k_0, k_1, k_2), (-k_2*F_160(x, k_0, k_1, k_2) + F_160(x, k_0, k_1, 1))/(1 - k_2))
Eq(F_167(x, k_0), F_168(x, k_0)*F_99(x))
Eq(F_168(x, k_0), (-k_0*F_4(x, k_0) + F_4(x, 1))/(1 - k_0))
Pack JSON:
{"name": "col_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries", "initial_strats": [{"class_module": "tilings.strategies.rearrange_assumption", "strategy_class": "RearrangeAssumptionFactory"}, {"class_module": "tilings.strategies.assumption_insertion", "strategy_class": "AddAssumptionFactory"}, {"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}, {"class_module": "tilings.strategies.fusion.component", "strategy_class": "ComponentFusionFactory", "tracked": true, "isolation_level": null}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.detect_components", "strategy_class": "DetectComponentsStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": true, "workable": 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, 2, 3, 4], [0, 1, 3, 2, 4], [0, 2, 1, 3, 4], [0, 2, 3, 1, 4], [0, 3, 1, 2, 4], [0, 3, 2, 1, 4]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 3, 4], [0, 1, 3, 2, 4], [0, 2, 1, 3, 4], [0, 2, 3, 1, 4], [0, 3, 1, 2, 4], [0, 3, 2, 1, 4]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "ComponentVerificationStrategy", "ignore_parent": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": false, "place_col": true}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": [[0, 1, 2, 3, 4], [0, 1, 3, 2, 4], [0, 2, 1, 3, 4], [0, 2, 3, 1, 4], [0, 3, 1, 2, 4], [0, 3, 2, 1, 4]]}], "iterative": false}
Specification JSON:
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