Given sets C and D of positive integers We are interested in counting the n umber of Dyck paths whose upward runs are never in C and downward runs are never in C Below we give the algebraic equation satisfied by the generating function for all sets C and D that are subsets of {1, 2, 3} ---------------------------- `(C1,D1)= `, {}, {} P^2*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {}, {1} P^2*x^2+P^2*x-P*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {}, {2} P^3*x^3-P^2*x^2+P^2*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {}, {3} P^4*x^4-P^3*x^3+P^2*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {}, {1, 2} P^3*x^3+P^2*x-P*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {}, {1, 3} P^4*x^4-P^3*x^3+P^2*x^2+P^2*x-P*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {}, {2, 3} P^4*x^4-P^2*x^2+P^2*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {}, {1, 2, 3} P^4*x^4+P^2*x-P*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {1}, {} P^2*x^2+P^2*x-P*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {1}, {1} P^2*x+P*x^2-P*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {1}, {2} P^2*x^4+P^2*x^3+P^2*x^2+P^2*x-P*x^2-P*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {1}, {3} P^3*x^6+2*P^3*x^5+P^3*x^4-P^2*x^4-P^2*x^3+P^2*x^2+P^2*x-P*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {1}, {1, 2} P^2*x^3+P^2*x-P*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {1}, {1, 3} P^3*x^4-P^2*x^3+P^2*x+P*x^2-P*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {1}, {2, 3} P^3*x^6+2*P^3*x^5+P^3*x^4+P^2*x^2+P^2*x-P*x^2-P*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {1}, {1, 2, 3} P^3*x^4+P^2*x-P*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {2}, {} P^3*x^3-P^2*x^2+P^2*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {2}, {1} P^2*x^4+P^2*x^3+P^2*x^2+P^2*x-P*x^2-P*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {2}, {2} P^4*x^8+P^3*x^7-P^3*x^6-P^3*x^4-P^2*x^5+2*P^2*x^4-P^2*x^3+P*x^3+P^2*x-P*x^2-P+1 = 0 ---------------------------- `(C1,D1)= `, {2}, {3} P^10*x^22+P^9*x^21+P^9*x^20+P^9*x^18+P^8*x^19+P^8*x^18+P^8*x^17+P^7*x^17+P^8*x^ 15+2*P^7*x^16+P^7*x^14+2*P^6*x^15+3*P^7*x^13+P^6*x^14-2*P^7*x^12+P^7*x^11+2*P^6 *x^12+P^5*x^13+3*P^6*x^11-P^6*x^10+P^6*x^9+2*P^5*x^10+P^5*x^9+P^4*x^10+P^5*x^8-\ 3*P^4*x^9+P^4*x^8+P^3*x^9+P^5*x^6-P^3*x^7-P^4*x^5+2*P^3*x^6+P^4*x^4-P^3*x^4+P^2 *x^4+P^2*x^3-P^2*x^2-P*x^3+P^2*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {2}, {1, 2} P^3*x^3-P^2*x^3+P*x^3+P^2*x-P*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {2}, {1, 3} P^4*x^10+3*P^4*x^8-P^3*x^8+3*P^4*x^6-P^3*x^7-2*P^3*x^6+P^4*x^4-2*P^3*x^5+P^2*x^ 6-P^3*x^4+P^2*x^5-P^3*x^3+2*P^2*x^4+2*P^2*x^3+P^2*x^2-P*x^3+P^2*x-P*x^2-P*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {2}, {2, 3} P^10*x^22+P^9*x^21-P^9*x^19+P^9*x^18+P^8*x^17+P^7*x^17+2*P^7*x^16-2*P^7*x^15+2* P^6*x^15+2*P^7*x^13-2*P^7*x^12-3*P^6*x^13+P^7*x^11+2*P^6*x^12+P^5*x^13-P^5*x^12 -2*P^5*x^11+2*P^5*x^10+P^4*x^11+2*P^5*x^9-P^5*x^8-2*P^4*x^9-P^5*x^7+2*P^4*x^8+P ^3*x^9+P^5*x^6+2*P^4*x^7-P^3*x^8-4*P^4*x^6-P^3*x^7+4*P^3*x^6+P^4*x^4-P^2*x^6-3* P^3*x^4+P^3*x^3+2*P^2*x^4-2*P^2*x^2+P^2*x+P*x^2-P+1 = 0 ---------------------------- `(C1,D1)= `, {2}, {1, 2, 3} P^4*x^4-P^3*x^4+P^2*x^4+P^2*x-P*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {3}, {} P^4*x^4-P^3*x^3+P^2*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {3}, {1} P^3*x^6+2*P^3*x^5+P^3*x^4-P^2*x^4-P^2*x^3+P^2*x^2+P^2*x-P*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {3}, {2} P^10*x^22+P^9*x^21+P^9*x^20+P^9*x^18+P^8*x^19+P^8*x^18+P^8*x^17+P^7*x^17+P^8*x^ 15+2*P^7*x^16+P^7*x^14+2*P^6*x^15+3*P^7*x^13+P^6*x^14-2*P^7*x^12+P^7*x^11+2*P^6 *x^12+P^5*x^13+3*P^6*x^11-P^6*x^10+P^6*x^9+2*P^5*x^10+P^5*x^9+P^4*x^10+P^5*x^8-\ 3*P^4*x^9+P^4*x^8+P^3*x^9+P^5*x^6-P^3*x^7-P^4*x^5+2*P^3*x^6+P^4*x^4-P^3*x^4+P^2 *x^4+P^2*x^3-P^2*x^2-P*x^3+P^2*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {3}, {3} P^8*x^20+P^7*x^19+P^7*x^18+2*P^7*x^17+P^6*x^17-P^7*x^15+4*P^6*x^16+3*P^6*x^15+2 *P^5*x^15-2*P^6*x^13+3*P^5*x^14-2*P^6*x^12+6*P^5*x^13+P^6*x^11+P^5*x^12+P^4*x^ 13-2*P^5*x^11+4*P^4*x^12-5*P^5*x^10+5*P^4*x^11-P^5*x^9+4*P^4*x^10+2*P^5*x^8-2*P ^4*x^9+2*P^3*x^10-5*P^4*x^8+3*P^3*x^9-4*P^4*x^7+6*P^3*x^8+2*P^4*x^6+P^3*x^7+P^4 *x^5-2*P^3*x^6+P^2*x^7-5*P^3*x^5+4*P^2*x^6-P^3*x^4+3*P^2*x^5+2*P^3*x^3-2*P^2*x^ 3+P*x^4-2*P^2*x^2+P*x^3+P^2*x+2*P*x^2-P+1 = 0 ---------------------------- `(C1,D1)= `, {3}, {1, 2} P^3*x^9+2*P^3*x^6+P^3*x^3+P^2*x^4-P*x^3+P^2*x-P*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {3}, {1, 3} P^10*x^28-P^9*x^26+P^9*x^24+P^9*x^23+P^7*x^22+P^8*x^19-P^7*x^20+P^7*x^18+P^6*x^ 18-2*P^6*x^17+P^7*x^14+P^6*x^15+P^5*x^16+P^6*x^14-P^6*x^13-P^5*x^14-2*P^5*x^13+ P^6*x^11+P^5*x^12+2*P^4*x^13+2*P^5*x^11+P^4*x^12-2*P^5*x^10-P^4*x^11-3*P^4*x^10 +P^5*x^8+P^4*x^9+P^3*x^10+P^5*x^7+P^4*x^8+2*P^3*x^9-P^4*x^7-P^3*x^8-P^4*x^6-3*P ^3*x^7+P^2*x^7+P^4*x^4+2*P^3*x^5+P^2*x^6+P^3*x^4-P^3*x^3-3*P^2*x^4-P^2*x^3+P*x^ 4+P^2*x^2+P*x^3+P^2*x-P*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {3}, {2, 3} P^20*x^50+P^19*x^49-P^19*x^45-P^18*x^46+P^18*x^45-2*P^18*x^44-P^17*x^45+P^18*x^ 43+2*P^17*x^44-P^18*x^42-P^17*x^43+P^18*x^41+P^17*x^42+2*P^16*x^43+2*P^17*x^41+ 2*P^16*x^42-P^17*x^40-P^16*x^41+P^17*x^39+5*P^16*x^40+2*P^15*x^41-P^17*x^38-5*P ^16*x^39+2*P^15*x^40+6*P^16*x^38+3*P^15*x^39-5*P^16*x^37-3*P^15*x^38+2*P^14*x^ 39+2*P^16*x^36-4*P^15*x^37+2*P^14*x^38-3*P^16*x^35+P^15*x^36+2*P^16*x^34+P^15*x ^35-8*P^14*x^36+2*P^13*x^37+2*P^14*x^35-P^13*x^36-P^15*x^33-6*P^14*x^34+P^15*x^ 32+11*P^14*x^33-P^12*x^35-2*P^14*x^32+P^13*x^33+8*P^14*x^31+3*P^13*x^32-10*P^14 *x^30+11*P^13*x^31+6*P^12*x^32+9*P^14*x^29+5*P^13*x^30+6*P^12*x^31+P^11*x^32-4* P^14*x^28+P^13*x^29+14*P^12*x^30-3*P^11*x^31+P^14*x^27+2*P^13*x^28+9*P^12*x^29+ 5*P^11*x^30+P^10*x^31-4*P^13*x^27+7*P^12*x^28+4*P^11*x^29+2*P^13*x^26-2*P^12*x^ 27+19*P^11*x^28+P^10*x^29+7*P^12*x^26+4*P^11*x^27+P^10*x^28-15*P^12*x^25+9*P^11 *x^26+13*P^12*x^24+P^11*x^25+7*P^10*x^26+P^9*x^27-11*P^12*x^23-7*P^11*x^24+14*P ^10*x^25-3*P^9*x^26+7*P^12*x^22+12*P^11*x^23+5*P^10*x^24+5*P^9*x^25-2*P^12*x^21 -8*P^11*x^22-P^10*x^23+4*P^9*x^24-P^8*x^25+P^11*x^21+P^10*x^22+19*P^9*x^23+11*P ^10*x^21+4*P^9*x^22-10*P^10*x^20+9*P^9*x^21+6*P^8*x^22+11*P^10*x^19+P^9*x^20+6* P^8*x^21+2*P^7*x^22-16*P^10*x^18-7*P^9*x^19+14*P^8*x^20-P^7*x^21+10*P^10*x^17+ 12*P^9*x^18+9*P^8*x^19-4*P^10*x^16-8*P^9*x^17+7*P^8*x^18+P^10*x^15+P^9*x^16-2*P ^8*x^17+P^7*x^18+2*P^6*x^19+7*P^8*x^16+3*P^7*x^17+2*P^6*x^18-15*P^8*x^15+11*P^7 *x^16+13*P^8*x^14+5*P^7*x^15-8*P^6*x^16-11*P^8*x^13+P^7*x^14+2*P^6*x^15+2*P^5*x ^16+7*P^8*x^12+2*P^7*x^13-6*P^6*x^14+2*P^5*x^15-2*P^8*x^11-4*P^7*x^12+11*P^6*x^ 13+3*P^5*x^14+2*P^7*x^11-2*P^6*x^12-3*P^5*x^13+8*P^6*x^11-4*P^5*x^12+2*P^4*x^13 -10*P^6*x^10+P^5*x^11+2*P^4*x^12+9*P^6*x^9+P^5*x^10-P^4*x^11-4*P^6*x^8+5*P^4*x^ 10+P^6*x^7-P^5*x^8-5*P^4*x^9-P^3*x^10+P^5*x^7+6*P^4*x^8+2*P^3*x^9-5*P^4*x^7-P^3 *x^8+2*P^4*x^6+P^3*x^7-3*P^4*x^5+2*P^3*x^6+2*P^4*x^4-P^3*x^5-P^2*x^6+P^3*x^4+P^ 2*x^5-P^3*x^3-2*P^2*x^4+P^2*x^3+P*x^4-P^2*x^2+P^2*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {3}, {1, 2, 3} P^4*x^4-P^2*x^4+P*x^4+P^2*x-P*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {1, 2}, {} P^3*x^3+P^2*x-P*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {1, 2}, {1} P^2*x^3+P^2*x-P*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {1, 2}, {2} P^3*x^3-P^2*x^3+P*x^3+P^2*x-P*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {1, 2}, {3} P^3*x^9+2*P^3*x^6+P^3*x^3+P^2*x^4-P*x^3+P^2*x-P*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {1, 2}, {1, 2} P*x^3+P^2*x-P*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {1, 2}, {1, 3} P^2*x^6+P^2*x^4+P^2*x^3-P*x^3+P^2*x-P*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {1, 2}, {2, 3} P^3*x^9+2*P^3*x^6-P^2*x^6+P^3*x^3+P^2*x^4-P^2*x^3+P^2*x-P*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {1, 2}, {1, 2, 3} P^2*x^4+P^2*x-P*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {1, 3}, {} P^4*x^4-P^3*x^3+P^2*x^2+P^2*x-P*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {1, 3}, {1} P^3*x^4-P^2*x^3+P^2*x+P*x^2-P*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {1, 3}, {2} P^4*x^10+3*P^4*x^8-P^3*x^8+3*P^4*x^6-P^3*x^7-2*P^3*x^6+P^4*x^4-2*P^3*x^5+P^2*x^ 6-P^3*x^4+P^2*x^5-P^3*x^3+2*P^2*x^4+2*P^2*x^3+P^2*x^2-P*x^3+P^2*x-P*x^2-P*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {1, 3}, {3} P^10*x^28-P^9*x^26+P^9*x^24+P^9*x^23+P^7*x^22+P^8*x^19-P^7*x^20+P^7*x^18+P^6*x^ 18-2*P^6*x^17+P^7*x^14+P^6*x^15+P^5*x^16+P^6*x^14-P^6*x^13-P^5*x^14-2*P^5*x^13+ P^6*x^11+P^5*x^12+2*P^4*x^13+2*P^5*x^11+P^4*x^12-2*P^5*x^10-P^4*x^11-3*P^4*x^10 +P^5*x^8+P^4*x^9+P^3*x^10+P^5*x^7+P^4*x^8+2*P^3*x^9-P^4*x^7-P^3*x^8-P^4*x^6-3*P ^3*x^7+P^2*x^7+P^4*x^4+2*P^3*x^5+P^2*x^6+P^3*x^4-P^3*x^3-3*P^2*x^4-P^2*x^3+P*x^ 4+P^2*x^2+P*x^3+P^2*x-P*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {1, 3}, {1, 2} P^2*x^6+P^2*x^4+P^2*x^3-P*x^3+P^2*x-P*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {1, 3}, {1, 3} P^4*x^12+P^3*x^10-P^3*x^9+P^3*x^8-P^3*x^7-P^3*x^6-P^2*x^7+2*P^2*x^6-P^2*x^5+P*x ^4-P*x^3+P^2*x+P*x^2-P*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {1, 3}, {2, 3} P^10*x^28+P^9*x^25+P^9*x^24+P^9*x^23-P^8*x^24+P^8*x^22+2*P^8*x^21+P^7*x^22+P^8* x^20-P^7*x^21+P^8*x^19-P^7*x^20+2*P^7*x^18+P^6*x^19+2*P^7*x^17+2*P^7*x^16-P^6*x ^17-P^6*x^16+P^7*x^14+3*P^6*x^15+P^5*x^16+2*P^6*x^14-P^5*x^15+2*P^6*x^13-P^5*x^ 14+P^6*x^12-2*P^5*x^13+P^6*x^11+2*P^4*x^13+3*P^5*x^11+P^5*x^10-2*P^4*x^11+3*P^5 *x^9-P^4*x^10+P^5*x^8-2*P^4*x^9+P^3*x^10+P^5*x^7+P^4*x^8+2*P^3*x^9-2*P^4*x^7-P^ 3*x^8+2*P^4*x^6+P^4*x^4-P^3*x^3-P^2*x^4+P^2*x^3+P*x^4+P^2*x^2+P^2*x-P*x^2-P*x-P +1 = 0 ---------------------------- `(C1,D1)= `, {1, 3}, {1, 2, 3} P^3*x^4-P^2*x^4+P*x^4+P^2*x-P*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {2, 3}, {} P^4*x^4-P^2*x^2+P^2*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {2, 3}, {1} P^3*x^6+2*P^3*x^5+P^3*x^4+P^2*x^2+P^2*x-P*x^2-P*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {2, 3}, {2} P^10*x^22+P^9*x^21-P^9*x^19+P^9*x^18+P^8*x^17+P^7*x^17+2*P^7*x^16-2*P^7*x^15+2* P^6*x^15+2*P^7*x^13-2*P^7*x^12-3*P^6*x^13+P^7*x^11+2*P^6*x^12+P^5*x^13-P^5*x^12 -2*P^5*x^11+2*P^5*x^10+P^4*x^11+2*P^5*x^9-P^5*x^8-2*P^4*x^9-P^5*x^7+2*P^4*x^8+P ^3*x^9+P^5*x^6+2*P^4*x^7-P^3*x^8-4*P^4*x^6-P^3*x^7+4*P^3*x^6+P^4*x^4-P^2*x^6-3* P^3*x^4+P^3*x^3+2*P^2*x^4-2*P^2*x^2+P^2*x+P*x^2-P+1 = 0 ---------------------------- `(C1,D1)= `, {2, 3}, {3} P^20*x^50+P^19*x^49-P^19*x^45-P^18*x^46+P^18*x^45-2*P^18*x^44-P^17*x^45+P^18*x^ 43+2*P^17*x^44-P^18*x^42-P^17*x^43+P^18*x^41+P^17*x^42+2*P^16*x^43+2*P^17*x^41+ 2*P^16*x^42-P^17*x^40-P^16*x^41+P^17*x^39+5*P^16*x^40+2*P^15*x^41-P^17*x^38-5*P ^16*x^39+2*P^15*x^40+6*P^16*x^38+3*P^15*x^39-5*P^16*x^37-3*P^15*x^38+2*P^14*x^ 39+2*P^16*x^36-4*P^15*x^37+2*P^14*x^38-3*P^16*x^35+P^15*x^36+2*P^16*x^34+P^15*x ^35-8*P^14*x^36+2*P^13*x^37+2*P^14*x^35-P^13*x^36-P^15*x^33-6*P^14*x^34+P^15*x^ 32+11*P^14*x^33-P^12*x^35-2*P^14*x^32+P^13*x^33+8*P^14*x^31+3*P^13*x^32-10*P^14 *x^30+11*P^13*x^31+6*P^12*x^32+9*P^14*x^29+5*P^13*x^30+6*P^12*x^31+P^11*x^32-4* P^14*x^28+P^13*x^29+14*P^12*x^30-3*P^11*x^31+P^14*x^27+2*P^13*x^28+9*P^12*x^29+ 5*P^11*x^30+P^10*x^31-4*P^13*x^27+7*P^12*x^28+4*P^11*x^29+2*P^13*x^26-2*P^12*x^ 27+19*P^11*x^28+P^10*x^29+7*P^12*x^26+4*P^11*x^27+P^10*x^28-15*P^12*x^25+9*P^11 *x^26+13*P^12*x^24+P^11*x^25+7*P^10*x^26+P^9*x^27-11*P^12*x^23-7*P^11*x^24+14*P ^10*x^25-3*P^9*x^26+7*P^12*x^22+12*P^11*x^23+5*P^10*x^24+5*P^9*x^25-2*P^12*x^21 -8*P^11*x^22-P^10*x^23+4*P^9*x^24-P^8*x^25+P^11*x^21+P^10*x^22+19*P^9*x^23+11*P ^10*x^21+4*P^9*x^22-10*P^10*x^20+9*P^9*x^21+6*P^8*x^22+11*P^10*x^19+P^9*x^20+6* P^8*x^21+2*P^7*x^22-16*P^10*x^18-7*P^9*x^19+14*P^8*x^20-P^7*x^21+10*P^10*x^17+ 12*P^9*x^18+9*P^8*x^19-4*P^10*x^16-8*P^9*x^17+7*P^8*x^18+P^10*x^15+P^9*x^16-2*P ^8*x^17+P^7*x^18+2*P^6*x^19+7*P^8*x^16+3*P^7*x^17+2*P^6*x^18-15*P^8*x^15+11*P^7 *x^16+13*P^8*x^14+5*P^7*x^15-8*P^6*x^16-11*P^8*x^13+P^7*x^14+2*P^6*x^15+2*P^5*x ^16+7*P^8*x^12+2*P^7*x^13-6*P^6*x^14+2*P^5*x^15-2*P^8*x^11-4*P^7*x^12+11*P^6*x^ 13+3*P^5*x^14+2*P^7*x^11-2*P^6*x^12-3*P^5*x^13+8*P^6*x^11-4*P^5*x^12+2*P^4*x^13 -10*P^6*x^10+P^5*x^11+2*P^4*x^12+9*P^6*x^9+P^5*x^10-P^4*x^11-4*P^6*x^8+5*P^4*x^ 10+P^6*x^7-P^5*x^8-5*P^4*x^9-P^3*x^10+P^5*x^7+6*P^4*x^8+2*P^3*x^9-5*P^4*x^7-P^3 *x^8+2*P^4*x^6+P^3*x^7-3*P^4*x^5+2*P^3*x^6+2*P^4*x^4-P^3*x^5-P^2*x^6+P^3*x^4+P^ 2*x^5-P^3*x^3-2*P^2*x^4+P^2*x^3+P*x^4-P^2*x^2+P^2*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {2, 3}, {1, 2} P^3*x^9+2*P^3*x^6-P^2*x^6+P^3*x^3+P^2*x^4-P^2*x^3+P^2*x-P*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {2, 3}, {1, 3} P^10*x^28+P^9*x^25+P^9*x^24+P^9*x^23-P^8*x^24+P^8*x^22+2*P^8*x^21+P^7*x^22+P^8* x^20-P^7*x^21+P^8*x^19-P^7*x^20+2*P^7*x^18+P^6*x^19+2*P^7*x^17+2*P^7*x^16-P^6*x ^17-P^6*x^16+P^7*x^14+3*P^6*x^15+P^5*x^16+2*P^6*x^14-P^5*x^15+2*P^6*x^13-P^5*x^ 14+P^6*x^12-2*P^5*x^13+P^6*x^11+2*P^4*x^13+3*P^5*x^11+P^5*x^10-2*P^4*x^11+3*P^5 *x^9-P^4*x^10+P^5*x^8-2*P^4*x^9+P^3*x^10+P^5*x^7+P^4*x^8+2*P^3*x^9-2*P^4*x^7-P^ 3*x^8+2*P^4*x^6+P^4*x^4-P^3*x^3-P^2*x^4+P^2*x^3+P*x^4+P^2*x^2+P^2*x-P*x^2-P*x-P +1 = 0 ---------------------------- `(C1,D1)= `, {2, 3}, {2, 3} P^8*x^20+P^7*x^19+2*P^7*x^18+P^7*x^17+2*P^6*x^17-P^7*x^15+2*P^6*x^16+3*P^6*x^15 +2*P^6*x^14+P^5*x^15-3*P^6*x^13+3*P^5*x^14-2*P^6*x^12+5*P^5*x^13+P^6*x^11+3*P^5 *x^12+P^4*x^13-3*P^5*x^11+P^4*x^12-3*P^5*x^10+6*P^4*x^11-2*P^5*x^9+4*P^4*x^10+2 *P^5*x^8-P^4*x^9+P^3*x^10-2*P^4*x^8+3*P^3*x^9-6*P^4*x^7+5*P^3*x^8+2*P^4*x^6+3*P ^3*x^7+P^4*x^5-3*P^3*x^6+2*P^2*x^7-3*P^3*x^5+2*P^2*x^6-2*P^3*x^4+3*P^2*x^5+2*P^ 3*x^3+2*P^2*x^4-3*P^2*x^3+P*x^4-2*P^2*x^2+2*P*x^3+P^2*x+P*x^2-P+1 = 0 ---------------------------- `(C1,D1)= `, {2, 3}, {1, 2, 3} P^4*x^4-P^3*x^4+P*x^4+P^2*x-P*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {1, 2, 3}, {} P^4*x^4+P^2*x-P*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {1, 2, 3}, {1} P^3*x^4+P^2*x-P*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {1, 2, 3}, {2} P^4*x^4-P^3*x^4+P^2*x^4+P^2*x-P*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {1, 2, 3}, {3} P^4*x^4-P^2*x^4+P*x^4+P^2*x-P*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {1, 2, 3}, {1, 2} P^2*x^4+P^2*x-P*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {1, 2, 3}, {1, 3} P^3*x^4-P^2*x^4+P*x^4+P^2*x-P*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {1, 2, 3}, {2, 3} P^4*x^4-P^3*x^4+P*x^4+P^2*x-P*x-P+1 = 0 ---------------------------- `(C1,D1)= `, {1, 2, 3}, {1, 2, 3} P*x^4+P^2*x-P*x-P+1 = 0 ------------------------- This took, 23224.940, second.