#-->nb_examples := 0: #-->examples := table(): #-->gbdacr_ex := proc() #--> global nb_examples, examples; #--> local ex := Record(_passed); #--> if not type(ex, record(:-descr, :-radix, :-fns, :-gens, :-stairs)) then #--> error("missing field") #--> fi; #--> nb_examples := nb_examples + 1; #--> examples[nb_examples] := ex; #--> return ex #-->end: #--> #-->read("data.mpl"): #-->read("gbdacr.mpl"): #--> #-->for idx to nb_examples do #--> ex := examples[idx]; #--> printf("# Example %d, %s\n", idx, ex:-descr); #--> mm := make_gbdacr_context(ex:-radix, x, Tw, Tr, TwFn, TrFn, #--> `if`(ex:-fns = none, [_f], ex:-fns)); #--> ti1 := time(assign('gb1' = mm:-buchberger(ex:-gens))); #--> ti2 := time(assign('gb2' = mm:-f4(ex:-gens))); #--> lms := mm:-leadmon~(gb1); #--> if convert(normal(gb1 - gb2), set) <> {0} or lms <> ex:-stairs then #--> error("bug") #--> fi; #--> printf("# Input generating set:\n"); #--> lprint(ex:-gens); #--> printf("# Output Gröbner basis:\n"); #--> lprint(gb1); #--> printf("# Leading monomials:\n"); #--> lprint(lms); #--> printf("# Time by Buchberger, Time by F4, Speedup by F4:\n"); #--> printf("%.2f, %.2f, %.2f\n", ti1, ti2, ti1/ti2); #--> printf("\n") #-->od: # Example 1, Example 15 in our ISSAC submission # Input generating set: [Tw(1,1)+1/(1-2*x)*Tw(1,0)+x/(-x^2+1)*Tw(1)+Tw(0), x*Tw(1,0,0)+(2-x)/(1-x)*Tw(1 ,0)+Tw(0,0), -x^3/(-x^4+1)*Tw(0,1,0)+Tw(1,0,0)+Tw(1), Tw(0,0,1)+Tw(0,0,0)+Tw(1, 1), Tw(0,1,1)+1/(1-x)*Tw(0,1,0), Tw(1,0,1)+x^2/(1-3*x)*Tw(1,0,0)+Tw(1), Tw(0,0, 1)+Tw(0,1,0)+Tw(0,0,0)] # Output Gröbner basis: [Tw(0), Tw(1)] # Leading monomials: [Tw(0), Tw(1)] # Time by Buchberger, Time by F4, Speedup by F4: 0.28, 0.23, 1.19 # Example 2, Example 15 in our ISSAC submission (mod1) # Input generating set: [Tw(1,1)+1/(1-2*x)*Tw(1,0)+x/(-x^2+1)*Tw(1)+Tw(0), x*Tw(1,0,0)+(2-x)/(1-x)*Tw(1 ,0)+Tw(0,0), -x^3/(-x^4+1)*Tw(0,1,0)+Tw(1,0,0)+Tw(1), Tw(0,0,1)+Tw(0,0,0)+Tw(1, 1), Tw(0,1,1)+1/(1-x)*Tw(0,1,0), Tw(1,0,1)+x^2/(1-3*x)*Tw(1,0,0)+Tw(1), Tw(0,0, 1)+Tw(0,1,0)+2*Tw(0,0,0)] # Output Gröbner basis: [Tw(0)-x/(x^2-1)*Tw(1)-1/(-1+2*x)*Tw(1,0)+Tw(1,1), Tw(0)-(x^6-x^2+1)/x^3/(x^2-1 )*Tw(1)+(x^4-1)/x^4*Tw(0,0)+(2*x^5-4*x^4-x^3-x^2-3*x+2)/x^4/(-1+2*x)*Tw(1,0)+Tw (0,0,0), 1/x*Tw(0,0)+(-2+x)/(-1+x)/x*Tw(1,0)+Tw(1,0,0), (x^4-1)/x^3*Tw(1)-(x^4-\ 1)/x^4*Tw(0,0)-(x^3+x^2+x+1)*(-2+x)/x^4*Tw(1,0)+Tw(0,1,0), -1/2/(-1+x)*(4*x-1)* Tw(0)+1/2*(3*x^6+4*x^5-4*x^4-3*x^2+3)/x^3/(-1+x)/(x^2-1)*Tw(1)-1/2*(4*x^4+2*x^3 +3*x^2+3*x+3)/x^4*Tw(0,0)-1/2*(2*x^5-8*x^4-3*x^3-3*x^2-9*x+6)/x^4/(-1+x)/(-1+2* x)*Tw(1,0)+Tw(1,1,0), -2*Tw(0)+(x^6+x^4-x^2+1)/x^3/(x^2-1)*Tw(1)-(x^4-1)/x^4*Tw (0,0)-(2*x^5-5*x^4-x^3-x^2-3*x+2)/x^4/(-1+2*x)*Tw(1,0)+Tw(0,0,1), Tw(1)+x/(-1+3 *x)*Tw(0,0)+x/(-1+3*x)*(-2+x)/(-1+x)*Tw(1,0)+Tw(1,0,1)] # Leading monomials: [Tw(1,1), Tw(0,0,0), Tw(1,0,0), Tw(0,1,0), Tw(1,1,0), Tw(0,0,1), Tw(1,0,1)] # Time by Buchberger, Time by F4, Speedup by F4: 0.01, 0.01, 0.86 # Example 3, Example 15 in our ISSAC submission (mod2) # Input generating set: [Tw(1,1)+1/(1-2*x)*Tw(1,0)+x/(-x^2+1)*Tw(1)+Tw(0), x*Tw(1,0,0)+(2-x)/(1-x)*Tw(1 ,0)+Tw(0,0), -x^3/(-x^4+1)*Tw(0,1,0)+Tw(1,0,0)+Tw(1), Tw(0,0,1)+Tw(0,0,0)+Tw(1, 1), Tw(0,1,1)+1/(1-x)*Tw(0,1,0), Tw(1,0,1)+x^2/(1-3*x)*Tw(1,0,0)+Tw(1), Tw(0,0, 1)+2*Tw(0,1,0)+Tw(0,0,0)] # Output Gröbner basis: [Tw(0), Tw(1)] # Leading monomials: [Tw(0), Tw(1)] # Time by Buchberger, Time by F4, Speedup by F4: 0.27, 0.21, 1.29 # Example 4, Example 15 in our ISSAC submission (mod3) # Input generating set: [Tw(1,1)+1/(1-2*x)*Tw(1,0)+x/(-x^2+1)*Tw(1)+Tw(0), x*Tw(1,0,0)+(2-x)/(1-x)*Tw(1 ,0)+Tw(0,0), -x^3/(-x^4+1)*Tw(0,1,0)+Tw(1,0,0)+Tw(1), Tw(0,0,1)+Tw(0,0,0)+Tw(1, 1), Tw(0,1,1)+1/(1-x)*Tw(0,1,0), Tw(1,0,1)+x^2/(1-3*x)*Tw(1,0,0)+Tw(1), 2*Tw(0, 0,1)+Tw(0,1,0)+Tw(0,0,0)] # Output Gröbner basis: [Tw(0)-x/(x^2-1)*Tw(1)-1/(-1+2*x)*Tw(1,0)+Tw(1,1), -2*Tw(0)+(x^6+x^4-x^2+1)/x^3 /(x^2-1)*Tw(1)-(x^4-1)/x^4*Tw(0,0)-(2*x^5-5*x^4-x^3-x^2-3*x+2)/x^4/(-1+2*x)*Tw( 1,0)+Tw(0,0,0), 1/x*Tw(0,0)+(-2+x)/(-1+x)/x*Tw(1,0)+Tw(1,0,0), (x^4-1)/x^3*Tw(1 )-(x^4-1)/x^4*Tw(0,0)-(x^3+x^2+x+1)*(-2+x)/x^4*Tw(1,0)+Tw(0,1,0), -1/2/(-1+x)*( 4*x-1)*Tw(0)+1/2*(3*x^6+4*x^5-4*x^4-3*x^2+3)/x^3/(-1+x)/(x^2-1)*Tw(1)-1/2*(4*x^ 4+2*x^3+3*x^2+3*x+3)/x^4*Tw(0,0)-1/2*(2*x^5-8*x^4-3*x^3-3*x^2-9*x+6)/x^4/(-1+x) /(-1+2*x)*Tw(1,0)+Tw(1,1,0), Tw(0)-(x^6-x^2+1)/x^3/(x^2-1)*Tw(1)+(x^4-1)/x^4*Tw (0,0)+(2*x^5-4*x^4-x^3-x^2-3*x+2)/x^4/(-1+2*x)*Tw(1,0)+Tw(0,0,1), Tw(1)+x/(-1+3 *x)*Tw(0,0)+x/(-1+3*x)*(-2+x)/(-1+x)*Tw(1,0)+Tw(1,0,1)] # Leading monomials: [Tw(1,1), Tw(0,0,0), Tw(1,0,0), Tw(0,1,0), Tw(1,1,0), Tw(0,0,1), Tw(1,0,1)] # Time by Buchberger, Time by F4, Speedup by F4: 0.01, 0.01, 1.00 # Example 5, Ex02 simplified Stern-Brocot # Input generating set: [Tw(0)-Tw(), Tw(1)-Tw()-1/x*Tw()] # Output Gröbner basis: [Tw(0)-Tw(), -(x+1)/x*Tw()+Tw(1)] # Leading monomials: [Tw(0), Tw(1)] # Time by Buchberger, Time by F4, Speedup by F4: 0.00, 0.00, NaN # Example 6, Ex03 simplified Gray code # Input generating set: [Tw(0,0)-2*Tw(0), Tw(1,1)-2*Tw(1), Tw(0,1)+4*Tw()-3*Tw(0)-Tw(1), Tw(1,0)+4*Tw() -Tw(0)-3*Tw(1)] # Output Gröbner basis: [Tw(0,0)-2*Tw(0), Tw(1,0)+4*Tw()-Tw(0)-3*Tw(1), Tw(0,1)+4*Tw()-3*Tw(0)-Tw(1), Tw(1,1)-2*Tw(1)] # Leading monomials: [Tw(0,0), Tw(1,0), Tw(0,1), Tw(1,1)] # Time by Buchberger, Time by F4, Speedup by F4: 0.00, 0.00, NaN # Example 7, Ex04 simplified Karatsuba # Input generating set: [1/x*Tw(0)-3/x*Tw(), 1/x*Tw(1)-2/x^2*Tw()-1/x*Tw()] # Output Gröbner basis: [-3*Tw()+Tw(0), -(2+x)/x*Tw()+Tw(1)] # Leading monomials: [Tw(0), Tw(1)] # Time by Buchberger, Time by F4, Speedup by F4: 0.00, 0.00, NaN # Example 8, Ex06 non trivial 2-rational # Input generating set: [1/x^2*Tw(0)+Tw(1)-1/x^2*Tw(), 1/x*Tw(1)+Tw(0)-1/x*Tw()] # Output Gröbner basis: [-(x+1)/(x^2+x+1)*Tw()+Tw(0), -1/(x^2+x+1)*Tw()+Tw(1)] # Leading monomials: [Tw(0), Tw(1)] # Time by Buchberger, Time by F4, Speedup by F4: 0.00, 0.00, Inf # Example 9, Ex07 big classical rational # Input generating set: [(1-3/x^2)*Tw(1), Tw(1,1)-Tw(0,1,0,1)-Tw(0), 1/x^2*Tw(1,0)-1/x^3*Tw(0)-x^30*Tw( ), 1/x*Tw(0)-1/x^3*Tw(1)-1/x*Tw(), 1/x*Tw(0,1)-4/x^3*Tw(0)-x^5*Tw()] # Output Gröbner basis: [Tw()] # Leading monomials: [Tw()] # Time by Buchberger, Time by F4, Speedup by F4: 0.02, 0.01, 1.45 # Example 10, Ex09 possibly 2-rational # Input generating set: [1/x^2*Tw(0)-x*Tw(1)-1/x^2*Tw(), 1/x*Tw(1)-x*Tw(0)-1/x*Tw()] # Output Gröbner basis: [(x^3+1)/(x^5-1)*Tw()+Tw(0), (x^2+1)/(x^5-1)*Tw()+Tw(1)] # Leading monomials: [Tw(0), Tw(1)] # Time by Buchberger, Time by F4, Speedup by F4: 0.00, 0.00, Inf # Example 11, comb-shaped tree, depth = 2, radix = 2 # Input generating set: [Tw(1)+1/(1-x)*Tw(0), Tw(1,1)+1/(1-x)*Tw(0,1)] # Output Gröbner basis: [-1/(-1+x)*Tw(0)+Tw(1), (2-x)*Tw(0,0)+Tw(1,0)] # Leading monomials: [Tw(1), Tw(1,0)] # Time by Buchberger, Time by F4, Speedup by F4: 0.00, 0.00, 0.50 # Example 12, comb-shaped tree, depth = 3, radix = 2 # Input generating set: [Tw(1)+1/(1-x)*Tw(0), Tw(1,1)+1/(1-x)*Tw(0,1), Tw(1,1,1)+1/(1-x)*Tw(0,1,1)] # Output Gröbner basis: [-1/(-1+x)*Tw(0)+Tw(1), (2-x)*Tw(0,0)+Tw(1,0), -1/(-1+x)*Tw(0,0,0)+Tw(1,0,0)] # Leading monomials: [Tw(1), Tw(1,0), Tw(1,0,0)] # Time by Buchberger, Time by F4, Speedup by F4: 0.01, 0.03, 0.50 # Example 13, comb-shaped tree, depth = 4, radix = 2 # Input generating set: [Tw(1)+1/(1-x)*Tw(0), Tw(1,1)+1/(1-x)*Tw(0,1), Tw(1,1,1)+1/(1-x)*Tw(0,1,1), Tw( 1,1,1,1)+1/(1-x)*Tw(0,1,1,1)] # Output Gröbner basis: [-1/(-1+x)*Tw(0)+Tw(1), (2-x)*Tw(0,0)+Tw(1,0), -1/(-1+x)*Tw(0,0,0)+Tw(1,0,0), ( 2-x)*Tw(0,0,0,0)+Tw(1,0,0,0)] # Leading monomials: [Tw(1), Tw(1,0), Tw(1,0,0), Tw(1,0,0,0)] # Time by Buchberger, Time by F4, Speedup by F4: 0.12, 0.24, 0.49 # Example 14, comb-shaped tree, depth = 5, radix = 2 # Input generating set: [Tw(1)+1/(1-x)*Tw(0), Tw(1,1)+1/(1-x)*Tw(0,1), Tw(1,1,1)+1/(1-x)*Tw(0,1,1), Tw( 1,1,1,1)+1/(1-x)*Tw(0,1,1,1), Tw(1,1,1,1,1)+1/(1-x)*Tw(0,1,1,1,1)] # Output Gröbner basis: [-1/(-1+x)*Tw(0)+Tw(1), (2-x)*Tw(0,0)+Tw(1,0), -1/(-1+x)*Tw(0,0,0)+Tw(1,0,0), ( 2-x)*Tw(0,0,0,0)+Tw(1,0,0,0), -1/(-1+x)*Tw(0,0,0,0,0)+Tw(1,0,0,0,0)] # Leading monomials: [Tw(1), Tw(1,0), Tw(1,0,0), Tw(1,0,0,0), Tw(1,0,0,0,0)] # Time by Buchberger, Time by F4, Speedup by F4: 0.44, 2.42, 0.18 # Example 15, comb-shaped tree, depth = 6, radix = 2 # Input generating set: [Tw(1)+1/(1-x)*Tw(0), Tw(1,1)+1/(1-x)*Tw(0,1), Tw(1,1,1)+1/(1-x)*Tw(0,1,1), Tw( 1,1,1,1)+1/(1-x)*Tw(0,1,1,1), Tw(1,1,1,1,1)+1/(1-x)*Tw(0,1,1,1,1), Tw(1,1,1,1,1 ,1)+1/(1-x)*Tw(0,1,1,1,1,1)] # Output Gröbner basis: [-1/(-1+x)*Tw(0)+Tw(1), (2-x)*Tw(0,0)+Tw(1,0), -1/(-1+x)*Tw(0,0,0)+Tw(1,0,0), ( 2-x)*Tw(0,0,0,0)+Tw(1,0,0,0), -1/(-1+x)*Tw(0,0,0,0,0)+Tw(1,0,0,0,0), (2-x)*Tw(0 ,0,0,0,0,0)+Tw(1,0,0,0,0,0)] # Leading monomials: [Tw(1), Tw(1,0), Tw(1,0,0), Tw(1,0,0,0), Tw(1,0,0,0,0), Tw(1,0,0,0,0,0)] # Time by Buchberger, Time by F4, Speedup by F4: 1.80, 21.67, 0.08 # Example 16, comb-shaped tree, depth = 2, radix = 3 # Input generating set: [Tw(2)+1/(1-x)*Tw(1)+1/(1-x)*Tw(0), Tw(2,2)+1/(1-x)*Tw(1,2)+1/(1-x)*Tw(0,2)] # Output Gröbner basis: [-1/(-1+x)*Tw(0)-1/(-1+x)*Tw(1)+Tw(2), -(-3+x)/(x+1)*Tw(0,0)+2/(x+1)*Tw(1,0)+Tw (2,0)-(-3+x)/(x+1)*Tw(0,1)+2/(x+1)*Tw(1,1)+Tw(2,1)] # Leading monomials: [Tw(2), Tw(2,1)] # Time by Buchberger, Time by F4, Speedup by F4: 0.01, 0.01, 0.86 # Example 17, comb-shaped tree, depth = 3, radix = 3 # Input generating set: [Tw(2)+1/(1-x)*Tw(1)+1/(1-x)*Tw(0), Tw(2,2)+1/(1-x)*Tw(1,2)+1/(1-x)*Tw(0,2), Tw (2,2,2)+1/(1-x)*Tw(1,2,2)+1/(1-x)*Tw(0,2,2)] # Output Gröbner basis: [-1/(-1+x)*Tw(0)-1/(-1+x)*Tw(1)+Tw(2), -(-3+x)/(x+1)*Tw(0,0)+2/(x+1)*Tw(1,0)+Tw (2,0)-(-3+x)/(x+1)*Tw(0,1)+2/(x+1)*Tw(1,1)+Tw(2,1), 2*Tw(0,0,0)-4*x/(-1+x)*Tw(1 ,0,0)+2*Tw(2,0,0)+Tw(0,1,0)-2*x/(-1+x)*Tw(1,1,0)+Tw(2,1,0)+2*Tw(0,0,1)-4*x/(-1+ x)*Tw(1,0,1)+2*Tw(2,0,1)+Tw(0,1,1)-2*x/(-1+x)*Tw(1,1,1)+Tw(2,1,1)] # Leading monomials: [Tw(2), Tw(2,1), Tw(2,1,1)] # Time by Buchberger, Time by F4, Speedup by F4: 0.12, 0.36, 0.33 # Example 18, comb-shaped tree, depth = 4, radix = 3 # Input generating set: [Tw(2)+1/(1-x)*Tw(1)+1/(1-x)*Tw(0), Tw(2,2)+1/(1-x)*Tw(1,2)+1/(1-x)*Tw(0,2), Tw (2,2,2)+1/(1-x)*Tw(1,2,2)+1/(1-x)*Tw(0,2,2), Tw(2,2,2,2)+1/(1-x)*Tw(1,2,2,2)+1/ (1-x)*Tw(0,2,2,2)] # Output Gröbner basis: [-1/(-1+x)*Tw(0)-1/(-1+x)*Tw(1)+Tw(2), -(-3+x)/(x+1)*Tw(0,0)+2/(x+1)*Tw(1,0)+Tw (2,0)-(-3+x)/(x+1)*Tw(0,1)+2/(x+1)*Tw(1,1)+Tw(2,1), 2*Tw(0,0,0)-4*x/(-1+x)*Tw(1 ,0,0)+2*Tw(2,0,0)+Tw(0,1,0)-2*x/(-1+x)*Tw(1,1,0)+Tw(2,1,0)+2*Tw(0,0,1)-4*x/(-1+ x)*Tw(1,0,1)+2*Tw(2,0,1)+Tw(0,1,1)-2*x/(-1+x)*Tw(1,1,1)+Tw(2,1,1), -2*(-3+x)/(x +1)*Tw(0,1,0,0)+4/(x+1)*Tw(1,1,0,0)+2*Tw(2,1,0,0)-(-3+x)/(x+1)*Tw(0,1,1,0)+2/(x +1)*Tw(1,1,1,0)+Tw(2,1,1,0)-2*(-3+x)/(x+1)*Tw(0,1,0,1)+4/(x+1)*Tw(1,1,0,1)+2*Tw (2,1,0,1)-(-3+x)/(x+1)*Tw(0,1,1,1)+2/(x+1)*Tw(1,1,1,1)+Tw(2,1,1,1)] # Leading monomials: [Tw(2), Tw(2,1), Tw(2,1,1), Tw(2,1,1,1)] # Time by Buchberger, Time by F4, Speedup by F4: 1.47, 8.47, 0.17 # Example 19, Ex17, already solved, radix 3 # Input generating set: [Tw(1)/x^2-Tw(), -(x^23+x^21+2*x^20+x^17-x^16-x^15-x^13+3*x^11+x^9+2*x^6+x^3+x^ 2-x-1)/x^31*Tw()+(x^29+x^25-x^21-2*x^18+2*x^15+2*x^14+x^11-x^10+2*x^8-x^7-x^4+x +1)/x^31*Tw(0)+(x^31+x^28-x^24+2*x^17+2*x^14-x^10+x^3+1)/x^32*Tw(0,0), (x^29+x^ 26-x^22+x^20+x^17+2*x^15+x^14-2*x^13+x^12+x^11-x^10+2*x^8+x^6-x^4+x^3+x+1)/x^33 *Tw()-(x^32+x^31-x^24+x^21+x^20+2*x^18+x^17-2*x^14+x^7+3*x^4-1)/x^32*Tw(0)+(x^ 31+x^28-x^24+2*x^17+2*x^14-x^10+x^3+1)/x^32*Tw(1,0), -(x^33+x^30-x^26+x^23+x^21 +2*x^20+2*x^19+x^17+x^16-x^15-x^13-x^12+3*x^11+x^9+2*x^6+x^5+x^3+2*x^2-x-1)/x^ 33*Tw()+(x^29+x^25-x^21-2*x^18+2*x^15+2*x^14+x^11-x^10+2*x^8-x^7-x^4+x+1)/x^33* Tw(0)+(x^31+x^28-x^24+2*x^17+2*x^14-x^10+x^3+1)/x^34*Tw(0,2), (x^32+x^29-x^27-x ^25-x^24+x^23+2*x^20+2*x^18+x^17-x^16+2*x^15+x^14-x^13+x^11-x^10+x^8-x^6+x^4+x^ 3+x+1)/x^36*Tw()-(x^32+x^29-x^27-x^25-x^24-x^23-x^22-x^21+x^20+2*x^18-x^17-x^16 +2*x^15+x^14-x^13-x^11-x^9-x^8-x^7+x^4-x^3+x-1)/x^33*Tw(0)+(x^31+x^28-x^24+2*x^ 17+2*x^14-x^10+x^3+1)/x^32*Tw(2,2), (x^32+x^29-x^27-x^25-x^24+x^23+2*x^20+2*x^ 18+x^17-x^16+2*x^15+x^14-x^13+x^11-x^10+x^8-x^6+x^4+x^3+x+1)/x^36*Tw()+(x^27+x^ 24+x^23+x^22+x^21-x^20+x^17+x^16-x^14+x^13+x^9+x^8+x^7+x^3+1)/x^33*Tw(0)+(x^31+ x^28-x^24+2*x^17+2*x^14-x^10+x^3+1)/x^32*Tw(2,0), -(x^35+x^32-x^29-x^28-x^26+x^ 22+2*x^21-x^20+2*x^18-x^17-2*x^15-2*x^14+2*x^13-x^12-x^11+x^10-2*x^8+x^7-x^6+2* x^4-x^3-x-1)/x^35*Tw()-(2*x^32+x^31+x^29-x^25-x^24+x^21+x^20+4*x^18+x^17+2*x^15 -2*x^14-x^11+x^7+4*x^4+x-1)/x^34*Tw(0)+(x^31+x^28-x^24+2*x^17+2*x^14-x^10+x^3+1 )/x^34*Tw(1,2)] # Output Gröbner basis: [-x^2*Tw()+Tw(1), -(x^23+x^21+2*x^20+x^17-x^16-x^15-x^13+3*x^11+x^9+2*x^6+x^3+x ^2-x-1)*x/(x^31+x^28-x^24+2*x^17+2*x^14-x^10+x^3+1)*Tw()+(x^29+x^25-x^21-2*x^18 +2*x^15+2*x^14+x^11-x^10+2*x^8-x^7-x^4+x+1)*x/(x^31+x^28-x^24+2*x^17+2*x^14-x^ 10+x^3+1)*Tw(0)+Tw(0,0), (x^29+x^26-x^22+x^20+x^17+2*x^15+x^14-2*x^13+x^12+x^11 -x^10+2*x^8+x^6-x^4+x^3+x+1)/x/(x^31+x^28-x^24+2*x^17+2*x^14-x^10+x^3+1)*Tw()-( x^32+x^31-x^24+x^21+x^20+2*x^18+x^17-2*x^14+x^7+3*x^4-1)/(x^31+x^28-x^24+2*x^17 +2*x^14-x^10+x^3+1)*Tw(0)+Tw(1,0), (x^32+x^29-x^27-x^25-x^24+x^23+2*x^20+2*x^18 +x^17-x^16+2*x^15+x^14-x^13+x^11-x^10+x^8-x^6+x^4+x^3+x+1)/x^4/(x^31+x^28-x^24+ 2*x^17+2*x^14-x^10+x^3+1)*Tw()+(x^27+x^24+x^23+x^22+x^21-x^20+x^17+x^16-x^14+x^ 13+x^9+x^8+x^7+x^3+1)/x/(x^31+x^28-x^24+2*x^17+2*x^14-x^10+x^3+1)*Tw(0)+Tw(2,0) , -(x^33+x^30-x^26+x^23+x^21+2*x^20+2*x^19+x^17+x^16-x^15-x^13-x^12+3*x^11+x^9+ 2*x^6+x^5+x^3+2*x^2-x-1)*x/(x^31+x^28-x^24+2*x^17+2*x^14-x^10+x^3+1)*Tw()+(x^29 +x^25-x^21-2*x^18+2*x^15+2*x^14+x^11-x^10+2*x^8-x^7-x^4+x+1)*x/(x^31+x^28-x^24+ 2*x^17+2*x^14-x^10+x^3+1)*Tw(0)+Tw(0,2), -(x^35+x^32-x^29-x^28-x^26+x^22+2*x^21 -x^20+2*x^18-x^17-2*x^15-2*x^14+2*x^13-x^12-x^11+x^10-2*x^8+x^7-x^6+2*x^4-x^3-x -1)/x/(x^31+x^28-x^24+2*x^17+2*x^14-x^10+x^3+1)*Tw()-(2*x^32+x^31+x^29-x^25-x^ 24+x^21+x^20+4*x^18+x^17+2*x^15-2*x^14-x^11+x^7+4*x^4+x-1)/(x^31+x^28-x^24+2*x^ 17+2*x^14-x^10+x^3+1)*Tw(0)+Tw(1,2), (x^32+x^29-x^27-x^25-x^24+x^23+2*x^20+2*x^ 18+x^17-x^16+2*x^15+x^14-x^13+x^11-x^10+x^8-x^6+x^4+x^3+x+1)/x^4/(x^31+x^28-x^ 24+2*x^17+2*x^14-x^10+x^3+1)*Tw()-(x^32+x^29-x^27-x^25-x^24-x^23-x^22-x^21+x^20 +2*x^18-x^17-x^16+2*x^15+x^14-x^13-x^11-x^9-x^8-x^7+x^4-x^3+x-1)/x/(x^31+x^28-x ^24+2*x^17+2*x^14-x^10+x^3+1)*Tw(0)+Tw(2,2)] # Leading monomials: [Tw(1), Tw(0,0), Tw(1,0), Tw(2,0), Tw(0,2), Tw(1,2), Tw(2,2)] # Time by Buchberger, Time by F4, Speedup by F4: 0.00, 0.00, 1.50 # Example 20, Ex18, already solved # Input generating set: [Tw(0,0)+Tw(1,1)+Tw(1), -Tw(0)/(-1+3*x)+Tw(0,1,0), Tw(1,1,0)+(-x^2-1)*Tw(1,0)+x *Tw(0)/(x^2+x+1), Tw(0,1)+Tw(1,0)+Tw(0)/(x^2+x+1), Tw(1,1,0,0)-Tw(0,1,0,0)/(x+1 )+Tw(1,0,0,0)/x-Tw(0,0,0,0)/x/(x+1)+(x^2+x+1)*Tw(1,0,0)/(81*x-1)/x/(x+1)+9*(x^2 +x+1)*Tw(0,0,0)/(81*x-1)/x/(x+1)-(729*x^9+396*x^8+181*x^7-1736*x^6-2474*x^5-\ 5461*x^4-3885*x^3-1360*x^2+204*x-2)*Tw(1,0)/(x^2+x+1)/(81*x-1)/(9*x-1)/x/(x+1)+ (9*x^4-3*x^3-19*x^2-8*x+2)*Tw(0,0)/(x^2+x+1)/(9*x-1)/x/(x+1)+(243*x^6-165*x^5-\ 374*x^4-368*x^3-41*x^2-74*x+4)*Tw(0)/(x^2+x+1)/(81*x-1)/(-1+3*x)/x/(x+1), Tw(1, 0,1,0,0)-Tw(0,0,1,0,0)+(1-x)*Tw(1,1,0,0,0)-Tw(1,0,0,0,0)+Tw(0,0,0,0,0)-(6561*x^ 3+81*x^2-6641*x-81)*Tw(0,1,0,0)/(x+1)/(6561*x-1)-(729*x^3-81*x^2-9*x+1)*Tw(1,0, 0,0)/x/(6561*x-1)-(9*x^3-639*x^2-729*x-1)*Tw(0,0,0,0)/(x+1)/x/(6561*x-1)-( 531441*x^7+688743*x^6-748221*x^5-203519*x^4+688776*x^3-13305*x^2+4*x+1)*Tw(1,0, 0)/(6561*x-1)/x/(x+1)/(81*x^3+80*x^2+80*x-1)+(531441*x^7+1706508*x^6+257077*x^5 -1277256*x^4-313293*x^3+46677*x^2-25*x-9)*Tw(0,0,0)/(6561*x-1)/x/(x+1)/(81*x^3+ 80*x^2+80*x-1)+(4782969*x^12+8895987*x^11+13084425*x^10+34312157*x^9+36065635*x ^8+45225188*x^7+39630992*x^6+21029128*x^5+13560502*x^4-2544497*x^3+27079*x^2+ 197*x-2)*Tw(1,0)/(x+1)/x/(59049*x^4+52479*x^3+52480*x^2-6569*x+1)/(81*x-1)-( 59049*x^7+111285*x^6+64654*x^5+89804*x^4+88159*x^3+10269*x^2-262*x+2)*Tw(0,0)/( x+1)/x/(59049*x^4+52479*x^3+52480*x^2-6569*x+1)-(1594323*x^11+3319623*x^10+ 4894347*x^9+16566342*x^8+16806644*x^7+10722949*x^6+4883541*x^5-2505050*x^4-\ 55454*x^3-15628*x^2-41*x+4)*Tw(0)/(x+1)/x/(531441*x^2-6642*x+1)/(-1+3*x)/(x^2+x +1)^2] # Output Gröbner basis: [Tw(0,1)+Tw(1,0)+Tw(0)/(x^2+x+1), Tw(0,0)+Tw(1,1)+Tw(1), -Tw(0)/(-1+3*x)+Tw(0,1 ,0), Tw(1,1,0)+(-x^2-1)*Tw(1,0)+x*Tw(0)/(x^2+x+1), Tw(1,1,0,0)-Tw(0,1,0,0)/(x+1 )+Tw(1,0,0,0)/x-Tw(0,0,0,0)/x/(x+1)+(x^2+x+1)*Tw(1,0,0)/(81*x-1)/x/(x+1)+9*(x^2 +x+1)*Tw(0,0,0)/(81*x-1)/x/(x+1)-(729*x^9+396*x^8+181*x^7-1736*x^6-2474*x^5-\ 5461*x^4-3885*x^3-1360*x^2+204*x-2)*Tw(1,0)/(x^2+x+1)/(81*x-1)/(9*x-1)/x/(x+1)+ (9*x^4-3*x^3-19*x^2-8*x+2)*Tw(0,0)/(x^2+x+1)/(9*x-1)/x/(x+1)+(243*x^6-165*x^5-\ 374*x^4-368*x^3-41*x^2-74*x+4)*Tw(0)/(x^2+x+1)/(81*x-1)/(-1+3*x)/x/(x+1), Tw(1, 0,1,0,0)-Tw(0,0,1,0,0)+(1-x)*Tw(1,1,0,0,0)-Tw(1,0,0,0,0)+Tw(0,0,0,0,0)-(6561*x^ 3+81*x^2-6641*x-81)*Tw(0,1,0,0)/(x+1)/(6561*x-1)-(729*x^3-81*x^2-9*x+1)*Tw(1,0, 0,0)/x/(6561*x-1)-(9*x^3-639*x^2-729*x-1)*Tw(0,0,0,0)/(x+1)/x/(6561*x-1)-( 531441*x^7+688743*x^6-748221*x^5-203519*x^4+688776*x^3-13305*x^2+4*x+1)*Tw(1,0, 0)/(6561*x-1)/x/(x+1)/(81*x^3+80*x^2+80*x-1)+(531441*x^7+1706508*x^6+257077*x^5 -1277256*x^4-313293*x^3+46677*x^2-25*x-9)*Tw(0,0,0)/(6561*x-1)/x/(x+1)/(81*x^3+ 80*x^2+80*x-1)+(4782969*x^12+8895987*x^11+13084425*x^10+34312157*x^9+36065635*x ^8+45225188*x^7+39630992*x^6+21029128*x^5+13560502*x^4-2544497*x^3+27079*x^2+ 197*x-2)*Tw(1,0)/(x+1)/x/(59049*x^4+52479*x^3+52480*x^2-6569*x+1)/(81*x-1)-( 59049*x^7+111285*x^6+64654*x^5+89804*x^4+88159*x^3+10269*x^2-262*x+2)*Tw(0,0)/( x+1)/x/(59049*x^4+52479*x^3+52480*x^2-6569*x+1)-(1594323*x^11+3319623*x^10+ 4894347*x^9+16566342*x^8+16806644*x^7+10722949*x^6+4883541*x^5-2505050*x^4-\ 55454*x^3-15628*x^2-41*x+4)*Tw(0)/(x+1)/x/(531441*x^2-6642*x+1)/(-1+3*x)/(x^2+x +1)^2] # Leading monomials: [Tw(0,1), Tw(1,1), Tw(0,1,0), Tw(1,1,0), Tw(1,1,0,0), Tw(1,0,1,0,0)] # Time by Buchberger, Time by F4, Speedup by F4: 0.00, 0.00, 1.33 # Example 21, wfdacr (1), a = 2 # Input generating set: [TwFn(0,u)-2*x*TwFn(v)+TwFn(w), TwFn(1,u)-TwFn(u)-1/x^2*TwFn(v), TwFn(0,v)-TwFn (1,v), TwFn(1,v)-2*TwFn(v)-1/x*TwFn(u), TwFn(0,w)-2*TwFn(w), x*TwFn(1,w)-(x+1)* TwFn(w)] # Output Gröbner basis: [TwFn(0,w)-2*TwFn(w), -(x+1)/x*TwFn(w)+TwFn(1,w), -2*TwFn(v)-1/x*TwFn(u)+TwFn(0 ,v), TwFn(1,v)-2*TwFn(v)-1/x*TwFn(u), TwFn(0,u)-2*x*TwFn(v)+TwFn(w), TwFn(1,u)- TwFn(u)-1/x^2*TwFn(v)] # Leading monomials: [TwFn(0,w), TwFn(1,w), TwFn(0,v), TwFn(1,v), TwFn(0,u), TwFn(1,u)] # Time by Buchberger, Time by F4, Speedup by F4: 0.00, 0.00, 1.00 # Example 22, wfdacr (1), a = 1 # Input generating set: [TwFn(0,u)-2*x*TwFn(v)+TwFn(w), TwFn(1,u)-TwFn(u)-1/x*TwFn(v), TwFn(0,v)-TwFn(1 ,v), TwFn(1,v)-2*TwFn(v)-1/x*TwFn(u), TwFn(0,w)-2*TwFn(w), x*TwFn(1,w)-(x+1)* TwFn(w)] # Output Gröbner basis: [TwFn(0,w)-2*TwFn(w), -(x+1)/x*TwFn(w)+TwFn(1,w), -2*TwFn(v)-1/x*TwFn(u)+TwFn(0 ,v), TwFn(1,v)-2*TwFn(v)-1/x*TwFn(u), TwFn(0,u)-2*x*TwFn(v)+TwFn(w), TwFn(1,u)- TwFn(u)-1/x*TwFn(v)] # Leading monomials: [TwFn(0,w), TwFn(1,w), TwFn(0,v), TwFn(1,v), TwFn(0,u), TwFn(1,u)] # Time by Buchberger, Time by F4, Speedup by F4: 0.00, 0.00, 2.00 # Example 23, wfdacr (29) # Input generating set: [TwFn(0,u)-2*TwFn(v)-TwFn(w), TwFn(0,1,u)-TwFn(u)-1/x*TwFn(v), TwFn(1,1,u)-TwFn (1,u), TwFn(0,v)-TwFn(0,0,u)-1/x*TwFn(0,v)-TwFn(w), TwFn(0,1,v)-x^3*TwFn(u)- TwFn(1,0,v), TwFn(1,1,v)-1/x*TwFn(u)-TwFn(v), TwFn(0,w)-2*TwFn(w), x*TwFn(1,w)- (x+1)*TwFn(w)] # Output Gröbner basis: [TwFn(0,w)-2*TwFn(w), -(x+1)/x*TwFn(w)+TwFn(1,w), 3*x/(x+1)*TwFn(w)+TwFn(0,v), TwFn(0,u)-2*TwFn(v)-TwFn(w), 3*TwFn(w)-x^3*TwFn(u)+TwFn(0,1,v), TwFn(1,1,v)-1/x *TwFn(u)-TwFn(v), TwFn(0,1,u)-TwFn(u)-1/x*TwFn(v), TwFn(1,1,u)-TwFn(1,u)] # Leading monomials: [TwFn(0,w), TwFn(1,w), TwFn(0,v), TwFn(0,u), TwFn(0,1,v), TwFn(1,1,v), TwFn(0,1 ,u), TwFn(1,1,u)] # Time by Buchberger, Time by F4, Speedup by F4: 0.00, 0.01, 0.56 # Example 24, Nicer form of Ex21 # Input generating set: [TrFn(2,1,v)-1/x*TrFn(1,0,u)+TrFn(1,0,p[1]), TrFn(4,0,u)-TrFn(1,0,u)-TrFn(2,0,v ), TrFn(4,0,v)-TrFn(2,1,u)-TrFn(1,0,u), 1/x^2*TrFn(4,2,v)-1/x^2*TrFn(1,0,v)-1/x ^2*TrFn(1,0,u)+TrFn(1,0,p[4]), 1/x*TrFn(2,1,u)-1/x*TrFn(1,0,v)-TrFn(1,0,v)+TrFn (1,0,p[2]), 1/x*TrFn(4,2,u)-TrFn(2,1,u)-TrFn(2,1,v)+TrFn(1,0,p[3])] # Output Gröbner basis: [TwFn(1,v)-1/x*TwFn(u)+TwFn(p[1]), x*TwFn(p[2])+(-1-x)*TwFn(v)+TwFn(1,u), x* TwFn(p[2])+(-1-x)*TwFn(v)-TwFn(u)+TwFn(0,0,v), x^2*TwFn(p[4])-TwFn(v)-TwFn(u)+ TwFn(1,0,v), TwFn(0,0,u)-TwFn(u)-TwFn(0,v), x*TwFn(p[3])+x^2*TwFn(p[2])+x*TwFn( p[1])-x*(x+1)*TwFn(v)-TwFn(u)+TwFn(1,0,u)] # Leading monomials: [TwFn(1,v), TwFn(1,u), TwFn(0,0,v), TwFn(1,0,v), TwFn(0,0,u), TwFn(1,0,u)] # Time by Buchberger, Time by F4, Speedup by F4: 0.02, 0.00, 6.33 # Example 25, thread-like graph, radix = 2, depth = 2 # Input generating set: [1/(1-x)*Tw(0,1)+1/(1-x)*Tw(1), 1/(1-x)*Tw(0,0,1)+1/(1-x)*Tw(0,1)] # Output Gröbner basis: [Tw(1)+Tw(0,1)] # Leading monomials: [Tw(0,1)] # Time by Buchberger, Time by F4, Speedup by F4: 0.00, 0.00, NaN # Example 26, thread-like graph, radix = 2, depth = 3 # Input generating set: [1/(1-x)*Tw(0,1)+1/(1-x)*Tw(1), 1/(1-x)*Tw(0,0,1)+1/(1-x)*Tw(0,1), 1/(1-x)*Tw(0 ,0,0,1)+1/(1-x)*Tw(0,0,1)] # Output Gröbner basis: [Tw(1)+Tw(0,1)] # Leading monomials: [Tw(0,1)] # Time by Buchberger, Time by F4, Speedup by F4: 0.00, 0.00, 0.67 # Example 27, thread-like graph, radix = 2, depth = 4 # Input generating set: [1/(1-x)*Tw(0,1)+1/(1-x)*Tw(1), 1/(1-x)*Tw(0,0,1)+1/(1-x)*Tw(0,1), 1/(1-x)*Tw(0 ,0,0,1)+1/(1-x)*Tw(0,0,1), 1/(1-x)*Tw(0,0,0,0,1)+1/(1-x)*Tw(0,0,0,1)] # Output Gröbner basis: [Tw(1)+Tw(0,1)] # Leading monomials: [Tw(0,1)] # Time by Buchberger, Time by F4, Speedup by F4: 0.01, 0.01, 1.09 # Example 28, thread-like graph, radix = 2, depth = 5 # Input generating set: [1/(1-x)*Tw(0,1)+1/(1-x)*Tw(1), 1/(1-x)*Tw(0,0,1)+1/(1-x)*Tw(0,1), 1/(1-x)*Tw(0 ,0,0,1)+1/(1-x)*Tw(0,0,1), 1/(1-x)*Tw(0,0,0,0,1)+1/(1-x)*Tw(0,0,0,1), 1/(1-x)* Tw(0,0,0,0,0,1)+1/(1-x)*Tw(0,0,0,0,1)] # Output Gröbner basis: [Tw(1)+Tw(0,1)] # Leading monomials: [Tw(0,1)] # Time by Buchberger, Time by F4, Speedup by F4: 0.03, 0.04, 0.73 # Example 29, thread-like graph, radix = 2, depth = 6 # Input generating set: [1/(1-x)*Tw(0,1)+1/(1-x)*Tw(1), 1/(1-x)*Tw(0,0,1)+1/(1-x)*Tw(0,1), 1/(1-x)*Tw(0 ,0,0,1)+1/(1-x)*Tw(0,0,1), 1/(1-x)*Tw(0,0,0,0,1)+1/(1-x)*Tw(0,0,0,1), 1/(1-x)* Tw(0,0,0,0,0,1)+1/(1-x)*Tw(0,0,0,0,1), 1/(1-x)*Tw(0,0,0,0,0,0,1)+1/(1-x)*Tw(0,0 ,0,0,0,1)] # Output Gröbner basis: [Tw(1)+Tw(0,1)] # Leading monomials: [Tw(0,1)] # Time by Buchberger, Time by F4, Speedup by F4: 0.07, 0.10, 0.65 # Example 30, thread-like graph, radix = 2, depth = 7 # Input generating set: [1/(1-x)*Tw(0,1)+1/(1-x)*Tw(1), 1/(1-x)*Tw(0,0,1)+1/(1-x)*Tw(0,1), 1/(1-x)*Tw(0 ,0,0,1)+1/(1-x)*Tw(0,0,1), 1/(1-x)*Tw(0,0,0,0,1)+1/(1-x)*Tw(0,0,0,1), 1/(1-x)* Tw(0,0,0,0,0,1)+1/(1-x)*Tw(0,0,0,0,1), 1/(1-x)*Tw(0,0,0,0,0,0,1)+1/(1-x)*Tw(0,0 ,0,0,0,1), 1/(1-x)*Tw(0,0,0,0,0,0,0,1)+1/(1-x)*Tw(0,0,0,0,0,0,1)] # Output Gröbner basis: [Tw(1)+Tw(0,1)] # Leading monomials: [Tw(0,1)] # Time by Buchberger, Time by F4, Speedup by F4: 0.25, 0.27, 0.92 # Example 31, 5 polynomials of the same degree 2 with random coefficients in k[x]_(<= 2) # Input generating set: [(-8*x^2+2*x-6)*Tw(0,0)+(-4*x^2-5*x+7)*Tw(0,1)+(-2*x^2-5*x-8)*Tw(1,0)+(8*x^2+x+ 9)*Tw(1,1), (4*x^2+8*x+5)*Tw(0,0)+(-2*x^2+4)*Tw(0,1)+(2*x^2-x+3)*Tw(1,0)+(6*x^2 -9*x-4)*Tw(1,1), (3*x^2+4*x-3)*Tw(0,0)+(-3*x^2-7*x+4)*Tw(0,1)+(5*x^2+5*x+9)*Tw( 1,0)+(2*x^2+9*x-2)*Tw(1,1), (-7*x^2+7*x+7)*Tw(0,0)+(-7*x^2-5*x-5)*Tw(0,1)-8*Tw( 1,0)+(-2*x^2+5*x-8)*Tw(1,1), (-x^2-x-3)*Tw(0,0)+(-6*x^2+2*x+3)*Tw(0,1)+(9*x^2+5 )*Tw(1,0)+(-x^2+2*x+1)*Tw(1,1)] # Output Gröbner basis: [Tw(0,0), Tw(1,0), Tw(0,1), Tw(1,1)] # Leading monomials: [Tw(0,0), Tw(1,0), Tw(0,1), Tw(1,1)] # Time by Buchberger, Time by F4, Speedup by F4: 0.03, 0.00, 16.50 # Example 32, 5 polynomials of the same degree 3 with random coefficients in k[x]_(<= 2) # Input generating set: [(-9-5*x)*Tw(0,0,0)+(3*x^2-8*x-2)*Tw(0,0,1)+(-8*x^2-5*x-9)*Tw(0,1,0)+(-7*x^2-8* x-8)*Tw(0,1,1)+(2*x^2+9*x-6)*Tw(1,0,0)+(-6*x^2-2*x+2)*Tw(1,0,1)+(x^2-3*x+7)*Tw( 1,1,0)+(8*x^2+4*x+8)*Tw(1,1,1), (8*x^2+9*x+2)*Tw(0,0,0)+(-8*x^2+4*x)*Tw(0,0,1)+ (-6*x^2+3*x+3)*Tw(0,1,0)+(-5*x^2-9*x-5)*Tw(0,1,1)+(-4*x^2+4*x+4)*Tw(1,0,0)+(6*x ^2-7*x-2)*Tw(1,0,1)+(6*x^2-x-1)*Tw(1,1,0)+(4*x^2+4*x-7)*Tw(1,1,1), (7*x^2+5*x+2 )*Tw(0,0,0)+(9*x^2-7*x-2)*Tw(0,0,1)+(-6*x^2+7*x+7)*Tw(0,1,0)+(-4*x^2+6*x+7)*Tw( 0,1,1)+(-6*x^2+5)*Tw(1,0,0)+(6*x^2+4*x-7)*Tw(1,0,1)+(-8*x^2-9)*Tw(1,1,0)+(7*x^2 +3*x+8)*Tw(1,1,1), (4+7*x)*Tw(0,0,0)+(2*x^2+5*x-3)*Tw(0,0,1)+(-5*x^2+9*x-7)*Tw( 0,1,0)+(6*x^2+6*x-1)*Tw(0,1,1)+(2*x^2+6*x-9)*Tw(1,0,0)+(-4*x^2-9)*Tw(1,0,1)+(4* x^2-7*x-5)*Tw(1,1,0)+(5*x^2+2*x-7)*Tw(1,1,1), (-x^2-5*x-9)*Tw(0,0,0)+(-7*x^2+8* x+4)*Tw(0,0,1)+(3*x^2-8*x-5)*Tw(0,1,0)+(5*x^2-9*x-8)*Tw(0,1,1)+5*x^2*Tw(1,0,0)+ (5*x^2+4*x)*Tw(1,0,1)+(5*x^2-x+5)*Tw(1,1,0)+(-6*x^2-x+6)*Tw(1,1,1)] # Output Gröbner basis: [-(29321*x^10+249186*x^9+452384*x^8-398153*x^7-1562235*x^6-1027494*x^5+175972*x ^4-213240*x^3-506205*x^2-185846*x-18186)/(21123*x^10+33944*x^9+49724*x^8+168123 *x^7+186728*x^6-559616*x^5-407921*x^4-173410*x^3+9369*x^2-65046*x-28134)*Tw(0,0 ,0)+(86976*x^10+212108*x^9-48690*x^8-834558*x^7-260620*x^6+1016481*x^5+116640*x ^4-769307*x^3+9752*x^2+400426*x+107400)/(21123*x^10+33944*x^9+49724*x^8+168123* x^7+186728*x^6-559616*x^5-407921*x^4-173410*x^3+9369*x^2-65046*x-28134)*Tw(1,0, 0)-(28285*x^10+165821*x^9-87366*x^8+29311*x^7+94444*x^6-541933*x^5-461035*x^4+ 185460*x^3-247259*x^2-420186*x-103338)/(21123*x^10+33944*x^9+49724*x^8+168123*x ^7+186728*x^6-559616*x^5-407921*x^4-173410*x^3+9369*x^2-65046*x-28134)*Tw(0,1,0 )+Tw(1,1,0), -(30979*x^10+274275*x^9+699930*x^8+619251*x^7-119616*x^6-957390*x^ 5-657065*x^4-96149*x^3-125292*x^2-30639*x-7274)/(21123*x^10+33944*x^9+49724*x^8 +168123*x^7+186728*x^6-559616*x^5-407921*x^4-173410*x^3+9369*x^2-65046*x-28134) *Tw(0,0,0)+(79326*x^10+233160*x^9+225724*x^8-448196*x^7-725774*x^6-461839*x^5+ 415104*x^4+276772*x^3+31224*x^2+80567*x-21788)/(21123*x^10+33944*x^9+49724*x^8+ 168123*x^7+186728*x^6-559616*x^5-407921*x^4-173410*x^3+9369*x^2-65046*x-28134)* Tw(1,0,0)-(22385*x^10+161950*x^9+33428*x^8+261084*x^7-159063*x^6-31421*x^5-\ 659391*x^4-381166*x^3-36419*x^2-61973*x+11346)/(21123*x^10+33944*x^9+49724*x^8+ 168123*x^7+186728*x^6-559616*x^5-407921*x^4-173410*x^3+9369*x^2-65046*x-28134)* Tw(0,1,0)+Tw(0,0,1), (5669*x^10-29558*x^9-26534*x^8+168717*x^7+322431*x^6+ 287888*x^5+160529*x^4-305418*x^3-379089*x^2-109447*x-9398)/(21123*x^10+33944*x^ 9+49724*x^8+168123*x^7+186728*x^6-559616*x^5-407921*x^4-173410*x^3+9369*x^2-\ 65046*x-28134)*Tw(0,0,0)+(14283*x^10+13425*x^9-10595*x^8-178379*x^7-114741*x^6-\ 5966*x^5+526101*x^4+424111*x^3-215506*x^2-359215*x-77014)/(21123*x^10+33944*x^9 +49724*x^8+168123*x^7+186728*x^6-559616*x^5-407921*x^4-173410*x^3+9369*x^2-\ 65046*x-28134)*Tw(1,0,0)-(9497*x^10+29074*x^9-71682*x^8+132886*x^7-337593*x^6-\ 190338*x^5+6024*x^4+159259*x^3+385452*x^2+351299*x+73866)/(21123*x^10+33944*x^9 +49724*x^8+168123*x^7+186728*x^6-559616*x^5-407921*x^4-173410*x^3+9369*x^2-\ 65046*x-28134)*Tw(0,1,0)+Tw(1,0,1), (10048*x^10+109671*x^9+246224*x^8-8046*x^7-\ 27139*x^6+667633*x^5+196514*x^4-93230*x^3+219348*x^2+73031*x-6872)/(21123*x^10+ 33944*x^9+49724*x^8+168123*x^7+186728*x^6-559616*x^5-407921*x^4-173410*x^3+9369 *x^2-65046*x-28134)*Tw(0,0,0)-(27378*x^10+76797*x^9-26022*x^8-253664*x^7-63671* x^6+595044*x^5-494677*x^4+88863*x^3+13435*x^2-146255*x-47720)/(21123*x^10+33944 *x^9+49724*x^8+168123*x^7+186728*x^6-559616*x^5-407921*x^4-173410*x^3+9369*x^2-\ 65046*x-28134)*Tw(1,0,0)+(9242*x^10+78431*x^9-43837*x^8-2084*x^7+386315*x^6-\ 854188*x^5+388447*x^4+80605*x^3+43638*x^2+121177*x+35898)/(21123*x^10+33944*x^9 +49724*x^8+168123*x^7+186728*x^6-559616*x^5-407921*x^4-173410*x^3+9369*x^2-\ 65046*x-28134)*Tw(0,1,0)+Tw(0,1,1), (28326*x^10+149921*x^9+127406*x^8-344395*x^ 7-100383*x^6+606881*x^5+642084*x^4+346918*x^3+30255*x^2+34553*x+13034)/(21123*x ^10+33944*x^9+49724*x^8+168123*x^7+186728*x^6-559616*x^5-407921*x^4-173410*x^3+ 9369*x^2-65046*x-28134)*Tw(0,0,0)-(48582*x^10+26402*x^9-184860*x^8-390430*x^7+ 331529*x^6+631674*x^5+105293*x^4-321084*x^3-241949*x^2+24411*x+11348)/(21123*x^ 10+33944*x^9+49724*x^8+168123*x^7+186728*x^6-559616*x^5-407921*x^4-173410*x^3+ 9369*x^2-65046*x-28134)*Tw(1,0,0)-(8229*x^10-59125*x^9+221218*x^8+22098*x^7+ 26041*x^6-190579*x^5-361199*x^4-369192*x^3-220462*x^2+3949*x+7242)/(21123*x^10+ 33944*x^9+49724*x^8+168123*x^7+186728*x^6-559616*x^5-407921*x^4-173410*x^3+9369 *x^2-65046*x-28134)*Tw(0,1,0)+Tw(1,1,1)] # Leading monomials: [Tw(1,1,0), Tw(0,0,1), Tw(1,0,1), Tw(0,1,1), Tw(1,1,1)] # Time by Buchberger, Time by F4, Speedup by F4: 0.09, 0.01, 11.50 # Example 33, 5 polynomials of the same degree 4 with random coefficients in k[x]_(<= 2) # Input generating set: [(-6*x^2+4*x-7)*Tw(0,0,0,0)+(8*x^2+6*x+7)*Tw(0,0,0,1)+(x^2+2*x-3)*Tw(0,0,1,0)+( -8+7*x)*Tw(0,0,1,1)+(-3*x^2+8*x-5)*Tw(0,1,0,0)+(-4*x^2+x+7)*Tw(0,1,0,1)+(8*x^2+ 5*x+5)*Tw(0,1,1,0)+(-9*x^2+7*x+6)*Tw(0,1,1,1)+(-x^2+4*x+3)*Tw(1,0,0,0)+(-3*x^2+ x-7)*Tw(1,0,0,1)+(5-7*x)*Tw(1,0,1,0)+(7*x^2-2*x+5)*Tw(1,0,1,1)+(x^2+6*x-6)*Tw(1 ,1,0,0)+(-9*x^2+2)*Tw(1,1,0,1)+(-4*x^2-8*x-5)*Tw(1,1,1,0)+(6*x^2+7*x-1)*Tw(1,1, 1,1), (3*x^2+2*x+5)*Tw(0,0,0,0)+(-9*x^2-2*x-2)*Tw(0,0,0,1)+(2*x^2-3*x+2)*Tw(0,0 ,1,0)+(8*x^2-3*x+8)*Tw(0,0,1,1)+(-4*x^2+6*x+7)*Tw(0,1,0,0)+(-7*x^2+2*x-6)*Tw(0, 1,0,1)+(-6*x^2+7*x+3)*Tw(0,1,1,0)+(3*x^2+4*x)*Tw(0,1,1,1)+(5*x^2+6*x)*Tw(1,0,0, 0)+(3+9*x)*Tw(1,0,0,1)+(-4*x^2-8*x-4)*Tw(1,0,1,0)+(-3*x^2-8*x-2)*Tw(1,0,1,1)+(-\ 8*x^2-8*x+9)*Tw(1,1,0,0)+(-6*x^2+3*x+3)*Tw(1,1,0,1)+(3*x^2-x-9)*Tw(1,1,1,0)+(-8 *x^2+9*x-2)*Tw(1,1,1,1), (-5*x^2+8*x)*Tw(0,0,0,0)+(-7*x^2+8*x-8)*Tw(0,0,0,1)+(5 *x^2-9*x-4)*Tw(0,0,1,0)+(2*x^2+x-9)*Tw(0,0,1,1)+(-3-9*x)*Tw(0,1,0,0)+(-7*x^2+4* x-9)*Tw(0,1,0,1)+(-9*x^2-5*x+8)*Tw(0,1,1,0)+(-3*x^2+7*x-7)*Tw(0,1,1,1)+(2*x^2-9 *x-8)*Tw(1,0,0,0)+(8*x^2+2*x+5)*Tw(1,0,0,1)+(-9*x^2+3*x-8)*Tw(1,0,1,0)+(6*x^2-7 *x+4)*Tw(1,0,1,1)+(-2*x^2-6*x-8)*Tw(1,1,0,0)+(7+3*x)*Tw(1,1,0,1)+(9*x^2-2*x+3)* Tw(1,1,1,0)+(6*x^2-6*x)*Tw(1,1,1,1), (x^2+9)*Tw(0,0,0,0)+(-x^2+5*x-5)*Tw(0,0,0, 1)+(2*x^2-x-2)*Tw(0,0,1,0)+(7*x^2+7*x-1)*Tw(0,0,1,1)+(3*x^2+6*x+1)*Tw(0,1,0,0)+ (4*x^2+7*x+2)*Tw(0,1,0,1)+(-8*x^2+8*x-5)*Tw(0,1,1,0)+(5*x^2+4*x+2)*Tw(0,1,1,1)+ (9*x^2+3*x+5)*Tw(1,0,0,0)+(-8*x^2+2*x-9)*Tw(1,0,0,1)+(-7*x^2-9*x-7)*Tw(1,0,1,0) +(-x^2-5*x+7)*Tw(1,0,1,1)+(-6*x^2-8*x+9)*Tw(1,1,0,0)+(8*x^2-2*x-9)*Tw(1,1,0,1)+ (-9*x^2+5*x-6)*Tw(1,1,1,0)+(6*x^2+5*x+4)*Tw(1,1,1,1), (-3*x^2+2*x+1)*Tw(0,0,0,0 )+(-4*x^2+2*x+9)*Tw(0,0,0,1)+(7*x^2-8*x-8)*Tw(0,0,1,0)+(-5*x^2-9*x+5)*Tw(0,0,1, 1)+(3*x^2-5*x-4)*Tw(0,1,0,0)+(-3*x^2+6*x)*Tw(0,1,0,1)+(-8*x^2+2*x+1)*Tw(0,1,1,0 )+(-5*x^2-4*x-3)*Tw(0,1,1,1)+(4*x^2-7*x-7)*Tw(1,0,0,0)+(-x^2-3*x+5)*Tw(1,0,0,1) +(-3*x^2-9*x+2)*Tw(1,0,1,0)+(8*x^2+6*x+3)*Tw(1,0,1,1)+(4*x^2-9*x)*Tw(1,1,0,0)+( -5*x^2+2*x+3)*Tw(1,1,0,1)+(x^2-9*x-4)*Tw(1,1,1,0)+(2*x^2+4*x-7)*Tw(1,1,1,1)] # Output Gröbner basis: [-(10082*x^10-3884*x^9-28317*x^8+9471*x^7-18064*x^6-12801*x^5+210702*x^4-309400 *x^3+18750*x^2+95259*x+17132)/(10776*x^10+34528*x^9-3448*x^8-144294*x^7-88318*x ^6+359067*x^5+21886*x^4-178737*x^3+58434*x^2-20103*x-46060)*Tw(0,0,0,0)-(26292* x^10+19114*x^9-84012*x^8+45851*x^7-84884*x^6+99008*x^5-15209*x^4+122512*x^3-\ 60944*x^2-71850*x-552)/(10776*x^10+34528*x^9-3448*x^8-144294*x^7-88318*x^6+ 359067*x^5+21886*x^4-178737*x^3+58434*x^2-20103*x-46060)*Tw(1,0,0,0)-(8858*x^10 +49744*x^9-104413*x^8+130151*x^7-171460*x^6+56656*x^5+62845*x^4+78779*x^3-\ 103766*x^2-59751*x+44116)/(10776*x^10+34528*x^9-3448*x^8-144294*x^7-88318*x^6+ 359067*x^5+21886*x^4-178737*x^3+58434*x^2-20103*x-46060)*Tw(0,1,0,0)-(2198*x^10 -12346*x^9+37633*x^8+284402*x^7-634465*x^6+256416*x^5+298017*x^4-3913*x^3-\ 203125*x^2-83327*x+27924)/(10776*x^10+34528*x^9-3448*x^8-144294*x^7-88318*x^6+ 359067*x^5+21886*x^4-178737*x^3+58434*x^2-20103*x-46060)*Tw(1,1,0,0)-(1386*x^10 +18728*x^9-85761*x^8+176221*x^7-112284*x^6-110415*x^5+96119*x^4+161180*x^3+9266 *x^2-182022*x+17824)/(10776*x^10+34528*x^9-3448*x^8-144294*x^7-88318*x^6+359067 *x^5+21886*x^4-178737*x^3+58434*x^2-20103*x-46060)*Tw(0,0,1,0)-(16594*x^10-\ 70650*x^9+88285*x^8+194982*x^7-393086*x^6+246674*x^5-83687*x^4+237781*x^3-\ 142468*x^2-78100*x-49576)/(10776*x^10+34528*x^9-3448*x^8-144294*x^7-88318*x^6+ 359067*x^5+21886*x^4-178737*x^3+58434*x^2-20103*x-46060)*Tw(1,0,1,0)-(15462*x^ 10+49294*x^9-6511*x^8-257284*x^7+202517*x^6+104251*x^5+41018*x^4-123598*x^3-\ 47137*x^2+27141*x+61636)/(10776*x^10+34528*x^9-3448*x^8-144294*x^7-88318*x^6+ 359067*x^5+21886*x^4-178737*x^3+58434*x^2-20103*x-46060)*Tw(0,1,1,0)+(76114*x^ 10-72456*x^9-80037*x^8+154171*x^7-49614*x^6-196316*x^5+302517*x^4-160837*x^3+ 14420*x^2+615*x+62140)/(10776*x^10+34528*x^9-3448*x^8-144294*x^7-88318*x^6+ 359067*x^5+21886*x^4-178737*x^3+58434*x^2-20103*x-46060)*Tw(1,1,1,0)-2*(17258*x ^10-37534*x^9+21505*x^8+60434*x^7-116121*x^6+157705*x^5-150107*x^4+76538*x^3-\ 34525*x^2+38386*x-24232)/(10776*x^10+34528*x^9-3448*x^8-144294*x^7-88318*x^6+ 359067*x^5+21886*x^4-178737*x^3+58434*x^2-20103*x-46060)*Tw(0,0,0,1)+(72724*x^ 10-62502*x^9-121144*x^8+116015*x^7+178256*x^6-205744*x^5+166027*x^4-176291*x^3+ 108649*x^2-126467*x-10900)/(10776*x^10+34528*x^9-3448*x^8-144294*x^7-88318*x^6+ 359067*x^5+21886*x^4-178737*x^3+58434*x^2-20103*x-46060)*Tw(1,0,0,1)-(28584*x^ 10-17954*x^9-17020*x^8+3279*x^7+45783*x^6+120023*x^5-206175*x^4+4299*x^3+25217* x^2+11832*x-60352)/(10776*x^10+34528*x^9-3448*x^8-144294*x^7-88318*x^6+359067*x ^5+21886*x^4-178737*x^3+58434*x^2-20103*x-46060)*Tw(0,1,0,1)+Tw(1,1,0,1), -( 5742*x^10+20090*x^9-29683*x^8-100629*x^7-24268*x^6+97931*x^5+38716*x^4-25067*x^ 3-82737*x^2+35132*x+53742)/(10776*x^10+34528*x^9-3448*x^8-144294*x^7-88318*x^6+ 359067*x^5+21886*x^4-178737*x^3+58434*x^2-20103*x-46060)*Tw(0,0,0,0)-(7116*x^10 +32954*x^9-13966*x^8-70713*x^7+78410*x^6-236096*x^5+19664*x^4+216050*x^3-23360* x^2-28291*x+9528)/(10776*x^10+34528*x^9-3448*x^8-144294*x^7-88318*x^6+359067*x^ 5+21886*x^4-178737*x^3+58434*x^2-20103*x-46060)*Tw(1,0,0,0)-(9006*x^10+48430*x^ 9+51409*x^8-140751*x^7+69398*x^6-312967*x^5+49846*x^4+309931*x^3-110573*x^2-\ 34068*x+49576)/(10776*x^10+34528*x^9-3448*x^8-144294*x^7-88318*x^6+359067*x^5+ 21886*x^4-178737*x^3+58434*x^2-20103*x-46060)*Tw(0,1,0,0)-(10602*x^10+28532*x^9 +25893*x^8+159276*x^7+212745*x^6-832094*x^5+111743*x^4+532194*x^3-266200*x^2-\ 80964*x+75734)/(10776*x^10+34528*x^9-3448*x^8-144294*x^7-88318*x^6+359067*x^5+ 21886*x^4-178737*x^3+58434*x^2-20103*x-46060)*Tw(1,1,0,0)+(1002*x^10+5122*x^9+ 18299*x^8+14151*x^7-345672*x^6+297769*x^5+294783*x^4-392661*x^3-7752*x^2+134064 *x-12259)/(10776*x^10+34528*x^9-3448*x^8-144294*x^7-88318*x^6+359067*x^5+21886* x^4-178737*x^3+58434*x^2-20103*x-46060)*Tw(0,0,1,0)-(14718*x^10+33296*x^9-22743 *x^8+225666*x^7+107858*x^6-468014*x^5+88537*x^4+128118*x^3-38164*x^2-41090*x-\ 46951)/(10776*x^10+34528*x^9-3448*x^8-144294*x^7-88318*x^6+359067*x^5+21886*x^4 -178737*x^3+58434*x^2-20103*x-46060)*Tw(1,0,1,0)-(9954*x^10+66060*x^9+99797*x^8 -166324*x^7-467853*x^6+400720*x^5+319337*x^4-192666*x^3-56520*x^2+26642*x+8506) /(10776*x^10+34528*x^9-3448*x^8-144294*x^7-88318*x^6+359067*x^5+21886*x^4-\ 178737*x^3+58434*x^2-20103*x-46060)*Tw(0,1,1,0)+(35598*x^10+127646*x^9-113623*x ^8-204325*x^7-103950*x^6+21236*x^5+75742*x^4+169036*x^3-44081*x^2+1045*x+63890) /(10776*x^10+34528*x^9-3448*x^8-144294*x^7-88318*x^6+359067*x^5+21886*x^4-\ 178737*x^3+58434*x^2-20103*x-46060)*Tw(1,1,1,0)-(19908*x^10+53968*x^9-60614*x^8 +95394*x^7-12762*x^6-217581*x^5+213084*x^4-132397*x^3-6160*x^2+95815*x-34604)/( 10776*x^10+34528*x^9-3448*x^8-144294*x^7-88318*x^6+359067*x^5+21886*x^4-178737* x^3+58434*x^2-20103*x-46060)*Tw(0,0,0,1)+(32964*x^10+125562*x^9-78826*x^8-\ 156931*x^7+38128*x^6+176147*x^5-265919*x^4+74145*x^3+95035*x^2-82866*x-2605)/( 10776*x^10+34528*x^9-3448*x^8-144294*x^7-88318*x^6+359067*x^5+21886*x^4-178737* x^3+58434*x^2-20103*x-46060)*Tw(1,0,0,1)-(20760*x^10+84818*x^9+33694*x^8-65263* x^7-191109*x^6+77413*x^5+50817*x^4-176183*x^3+98193*x^2+60918*x-40682)/(10776*x ^10+34528*x^9-3448*x^8-144294*x^7-88318*x^6+359067*x^5+21886*x^4-178737*x^3+ 58434*x^2-20103*x-46060)*Tw(0,1,0,1)+Tw(0,0,1,1), -(4122*x^10-2467*x^9-65749*x^ 8-154989*x^7+4841*x^6+393720*x^5+268996*x^4-354955*x^3-233430*x^2+47906*x+54150 )/(10776*x^10+34528*x^9-3448*x^8-144294*x^7-88318*x^6+359067*x^5+21886*x^4-\ 178737*x^3+58434*x^2-20103*x-46060)*Tw(0,0,0,0)+(9924*x^10+41684*x^9+32855*x^8-\ 111926*x^7-59633*x^6+416116*x^5+10342*x^4-420081*x^3+24701*x^2+96828*x-1460)/( 10776*x^10+34528*x^9-3448*x^8-144294*x^7-88318*x^6+359067*x^5+21886*x^4-178737* x^3+58434*x^2-20103*x-46060)*Tw(1,0,0,0)+(4446*x^10-14789*x^9-22717*x^8+18395*x ^7+350436*x^6+183966*x^5-376658*x^4-319328*x^3+145568*x^2+102324*x-19160)/( 10776*x^10+34528*x^9-3448*x^8-144294*x^7-88318*x^6+359067*x^5+21886*x^4-178737* x^3+58434*x^2-20103*x-46060)*Tw(0,1,0,0)-(2814*x^10+58393*x^9+177358*x^8+101512 *x^7-683805*x^6-802939*x^5+650760*x^4+756538*x^3-319627*x^2-173680*x+54310)/( 10776*x^10+34528*x^9-3448*x^8-144294*x^7-88318*x^6+359067*x^5+21886*x^4-178737* x^3+58434*x^2-20103*x-46060)*Tw(1,1,0,0)+(17238*x^10+34339*x^9-40093*x^8-287275 *x^7-30849*x^6+677197*x^5+199370*x^4-615535*x^3-135558*x^2+218239*x+22945)/( 10776*x^10+34528*x^9-3448*x^8-144294*x^7-88318*x^6+359067*x^5+21886*x^4-178737* x^3+58434*x^2-20103*x-46060)*Tw(0,0,1,0)-(20970*x^10+74251*x^9+149242*x^8+13767 *x^7-382888*x^6-546054*x^5-17947*x^4+512536*x^3+113378*x^2-70214*x-63295)/( 10776*x^10+34528*x^9-3448*x^8-144294*x^7-88318*x^6+359067*x^5+21886*x^4-178737* x^3+58434*x^2-20103*x-46060)*Tw(1,0,1,0)-(38190*x^10+138877*x^9+58866*x^8-\ 525792*x^7-620511*x^6+845965*x^5+791815*x^4-305387*x^3-177360*x^2+34840*x+25890 )/(10776*x^10+34528*x^9-3448*x^8-144294*x^7-88318*x^6+359067*x^5+21886*x^4-\ 178737*x^3+58434*x^2-20103*x-46060)*Tw(0,1,1,0)+(28122*x^10+18729*x^9-101431*x^ 8-337037*x^7-58564*x^6+202190*x^5+387376*x^4+152804*x^3-114742*x^2-30286*x+ 80630)/(10776*x^10+34528*x^9-3448*x^8-144294*x^7-88318*x^6+359067*x^5+21886*x^4 -178737*x^3+58434*x^2-20103*x-46060)*Tw(1,1,1,0)-(33276*x^10+80330*x^9+36784*x^ 8-258838*x^7-250293*x^6+245188*x^5+19699*x^4-90506*x^3+110843*x^2+171790*x-\ 33360)/(10776*x^10+34528*x^9-3448*x^8-144294*x^7-88318*x^6+359067*x^5+21886*x^4 -178737*x^3+58434*x^2-20103*x-46060)*Tw(0,0,0,1)+(20556*x^10+5776*x^9-47095*x^8 -108774*x^7+86634*x^6-332074*x^5-260707*x^4+237585*x^3+145905*x^2-94101*x+22655 )/(10776*x^10+34528*x^9-3448*x^8-144294*x^7-88318*x^6+359067*x^5+21886*x^4-\ 178737*x^3+58434*x^2-20103*x-46060)*Tw(1,0,0,1)-(16896*x^10+30646*x^9-20853*x^8 -183667*x^7-114513*x^6+48273*x^5-226803*x^4-133953*x^3+180806*x^2+112992*x-\ 32290)/(10776*x^10+34528*x^9-3448*x^8-144294*x^7-88318*x^6+359067*x^5+21886*x^4 -178737*x^3+58434*x^2-20103*x-46060)*Tw(0,1,0,1)+Tw(1,0,1,1), (18146*x^10+23364 *x^9-8069*x^8+52710*x^7+5150*x^6-215686*x^5-178584*x^4+143649*x^3+90761*x^2+ 96499*x+21022)/(10776*x^10+34528*x^9-3448*x^8-144294*x^7-88318*x^6+359067*x^5+ 21886*x^4-178737*x^3+58434*x^2-20103*x-46060)*Tw(0,0,0,0)+(48852*x^10+99162*x^9 -77516*x^8-133919*x^7-141113*x^6+374747*x^5+241981*x^4-298299*x^3-16027*x^2-\ 1019*x-40672)/(10776*x^10+34528*x^9-3448*x^8-144294*x^7-88318*x^6+359067*x^5+ 21886*x^4-178737*x^3+58434*x^2-20103*x-46060)*Tw(1,0,0,0)+(22418*x^10+95312*x^9 -97717*x^8+22724*x^7+111470*x^6+31910*x^5+136528*x^4-219991*x^3-79023*x^2+60784 *x-11064)/(10776*x^10+34528*x^9-3448*x^8-144294*x^7-88318*x^6+359067*x^5+21886* x^4-178737*x^3+58434*x^2-20103*x-46060)*Tw(0,1,0,0)+(974*x^10-62378*x^9-82679*x ^8+442329*x^7-64762*x^6+133090*x^5+421163*x^4-490077*x^3-132963*x^2+104669*x-\ 14226)/(10776*x^10+34528*x^9-3448*x^8-144294*x^7-88318*x^6+359067*x^5+21886*x^4 -178737*x^3+58434*x^2-20103*x-46060)*Tw(1,1,0,0)+(11802*x^10+45600*x^9-127833*x ^8-10996*x^7+36782*x^6-5428*x^5+438420*x^4-77303*x^3-268154*x^2+61183*x-15271)/ (10776*x^10+34528*x^9-3448*x^8-144294*x^7-88318*x^6+359067*x^5+21886*x^4-178737 *x^3+58434*x^2-20103*x-46060)*Tw(0,0,1,0)+(10138*x^10-132954*x^9-46739*x^8+ 410031*x^7-163915*x^6+375547*x^5+432731*x^4-431370*x^3-47297*x^2-91947*x-27261) /(10776*x^10+34528*x^9-3448*x^8-144294*x^7-88318*x^6+359067*x^5+21886*x^4-\ 178737*x^3+58434*x^2-20103*x-46060)*Tw(1,0,1,0)-(10386*x^10+33362*x^9+32327*x^8 -12507*x^7-583968*x^6+147683*x^5+640588*x^4+88065*x^3+46148*x^2+10317*x+12854)/ (10776*x^10+34528*x^9-3448*x^8-144294*x^7-88318*x^6+359067*x^5+21886*x^4-178737 *x^3+58434*x^2-20103*x-46060)*Tw(0,1,1,0)-(98002*x^10-18032*x^9-165837*x^8+ 344994*x^7+100400*x^6-258087*x^5-133523*x^4-180825*x^3-143080*x^2+73815*x-45810 )/(10776*x^10+34528*x^9-3448*x^8-144294*x^7-88318*x^6+359067*x^5+21886*x^4-\ 178737*x^3+58434*x^2-20103*x-46060)*Tw(1,1,1,0)+(25924*x^10-133788*x^9-63526*x^ 8+454674*x^7-57008*x^6+91444*x^5-29115*x^4-311496*x^3+134554*x^2-172211*x-29604 )/(10776*x^10+34528*x^9-3448*x^8-144294*x^7-88318*x^6+359067*x^5+21886*x^4-\ 178737*x^3+58434*x^2-20103*x-46060)*Tw(0,0,0,1)-(96892*x^10+10490*x^9-189056*x^ 8+179167*x^7+228121*x^6+26792*x^5+193212*x^4+87405*x^3-190612*x^2+52437*x-38295 )/(10776*x^10+34528*x^9-3448*x^8-144294*x^7-88318*x^6+359067*x^5+21886*x^4-\ 178737*x^3+58434*x^2-20103*x-46060)*Tw(1,0,0,1)+(41592*x^10+33230*x^9+14396*x^8 +55427*x^7-29968*x^6+352517*x^5+71200*x^4-72862*x^3+121509*x^2-101897*x-32722)/ (10776*x^10+34528*x^9-3448*x^8-144294*x^7-88318*x^6+359067*x^5+21886*x^4-178737 *x^3+58434*x^2-20103*x-46060)*Tw(0,1,0,1)+Tw(0,1,1,1), (6129*x^10-12346*x^9-\ 39019*x^8-27586*x^7-81522*x^6-84552*x^5+395353*x^4+137334*x^3-118932*x^2-146781 *x-71366)/(10776*x^10+34528*x^9-3448*x^8-144294*x^7-88318*x^6+359067*x^5+21886* x^4-178737*x^3+58434*x^2-20103*x-46060)*Tw(0,0,0,0)+(20466*x^10+3609*x^9-121599 *x^8-43966*x^7+10241*x^6+290985*x^5-288464*x^4-161805*x^3+239458*x^2+40699*x-\ 35824)/(10776*x^10+34528*x^9-3448*x^8-144294*x^7-88318*x^6+359067*x^5+21886*x^4 -178737*x^3+58434*x^2-20103*x-46060)*Tw(1,0,0,0)+(9765*x^10+57152*x^9-84525*x^8 -259*x^7-314883*x^6+199255*x^5-87793*x^4-96366*x^3+322949*x^2+16331*x-84108)/( 10776*x^10+34528*x^9-3448*x^8-144294*x^7-88318*x^6+359067*x^5+21886*x^4-178737* x^3+58434*x^2-20103*x-46060)*Tw(0,1,0,0)+(3243*x^10+16119*x^9+105927*x^8+308830 *x^7-596999*x^6-181570*x^5-351322*x^4-19160*x^3+517216*x^2+67304*x-83242)/( 10776*x^10+34528*x^9-3448*x^8-144294*x^7-88318*x^6+359067*x^5+21886*x^4-178737* x^3+58434*x^2-20103*x-46060)*Tw(1,1,0,0)-(2691*x^10-3540*x^9+87463*x^8-167778*x ^7-45794*x^6-122595*x^5+311777*x^4+445085*x^3-312176*x^2-174437*x+52657)/(10776 *x^10+34528*x^9-3448*x^8-144294*x^7-88318*x^6+359067*x^5+21886*x^4-178737*x^3+ 58434*x^2-20103*x-46060)*Tw(0,0,1,0)+(14781*x^10-38293*x^9+149868*x^8+295336*x^ 7-245879*x^6-314634*x^5-644862*x^4+47895*x^3+226700*x^2+163474*x+106753)/(10776 *x^10+34528*x^9-3448*x^8-144294*x^7-88318*x^6+359067*x^5+21886*x^4-178737*x^3+ 58434*x^2-20103*x-46060)*Tw(1,0,1,0)+(20151*x^10+80547*x^9+76289*x^8-238842*x^7 -188488*x^6-260884*x^5+377195*x^4+501703*x^3+87397*x^2-64659*x-31498)/(10776*x^ 10+34528*x^9-3448*x^8-144294*x^7-88318*x^6+359067*x^5+21886*x^4-178737*x^3+ 58434*x^2-20103*x-46060)*Tw(0,1,1,0)-(72825*x^10-26268*x^9-84479*x^8-150795*x^7 -257997*x^6-100450*x^5+523158*x^4+178285*x^3+141379*x^2+37715*x-60870)/(10776*x ^10+34528*x^9-3448*x^8-144294*x^7-88318*x^6+359067*x^5+21886*x^4-178737*x^3+ 58434*x^2-20103*x-46060)*Tw(1,1,1,0)+(40302*x^10-2678*x^9+114494*x^8+4037*x^7-\ 424405*x^6+45787*x^5-63537*x^4+265914*x^3-60926*x^2+27965*x+131692)/(10776*x^10 +34528*x^9-3448*x^8-144294*x^7-88318*x^6+359067*x^5+21886*x^4-178737*x^3+58434* x^2-20103*x-46060)*Tw(0,0,0,1)-(65622*x^10-26299*x^9-77247*x^8-27353*x^7+29449* x^6-324057*x^5+105249*x^4-233893*x^3+1056*x^2+127619*x-19665)/(10776*x^10+34528 *x^9-3448*x^8-144294*x^7-88318*x^6+359067*x^5+21886*x^4-178737*x^3+58434*x^2-\ 20103*x-46060)*Tw(1,0,0,1)+(32040*x^10+23991*x^9+25078*x^8-122713*x^7-231028*x^ 6-38500*x^5-32345*x^4-22662*x^3-139359*x^2+44761*x+82786)/(10776*x^10+34528*x^9 -3448*x^8-144294*x^7-88318*x^6+359067*x^5+21886*x^4-178737*x^3+58434*x^2-20103* x-46060)*Tw(0,1,0,1)+Tw(1,1,1,1)] # Leading monomials: [Tw(1,1,0,1), Tw(0,0,1,1), Tw(1,0,1,1), Tw(0,1,1,1), Tw(1,1,1,1)] # Time by Buchberger, Time by F4, Speedup by F4: 0.34, 0.05, 7.08 # Example 34, 5 polynomials of the same degree 5 with random coefficients in k[x]_(<= 2) # Input generating set: [(2*x^2+x-9)*Tw(1,1,1,0,1)+(2*x^2+6*x-6)*Tw(1,1,1,1,0)+(2*x^2+7*x-1)*Tw(1,1,1,1 ,1)+(7-9*x)*Tw(1,0,0,0,0)+(-x^2+6*x-9)*Tw(1,0,0,0,1)+(3*x^2+4*x-5)*Tw(1,0,0,1,0 )+(9*x^2+6*x-2)*Tw(1,0,0,1,1)+(-9*x^2-8*x-3)*Tw(1,0,1,0,0)+(3*x^2+9*x-9)*Tw(1,0 ,1,0,1)+(9*x^2+3*x+1)*Tw(1,0,1,1,0)+(-3*x^2+9*x+8)*Tw(1,0,1,1,1)+(-3*x^2-4*x)* Tw(1,1,0,0,0)+(9*x^2-2*x-1)*Tw(1,1,0,0,1)+(-5*x^2+2*x-5)*Tw(0,0,1,0,1)+(-x^2+6) *Tw(0,0,1,1,0)+(-6*x^2-7*x-3)*Tw(0,1,0,0,0)+(4*x^2+x-7)*Tw(0,1,0,0,1)+(-6*x^2-5 *x-2)*Tw(0,1,0,1,0)+(x^2-5*x+1)*Tw(0,1,0,1,1)+(6*x^2+6)*Tw(0,1,1,0,0)+(-3*x^2+2 *x+7)*Tw(0,1,1,0,1)+(-9*x^2-7)*Tw(0,1,1,1,0)+(-9*x^2+8*x-7)*Tw(0,1,1,1,1)+(-2*x ^2+3*x-1)*Tw(0,0,0,0,0)+(2-8*x)*Tw(0,0,0,0,1)+(6*x^2-3*x-5)*Tw(0,0,0,1,0)+(4*x^ 2-6)*Tw(0,0,0,1,1)+(-8*x^2+5*x-2)*Tw(0,0,1,0,0)+(2*x^2+2)*Tw(1,1,0,1,0)+(-5*x^2 -5*x+9)*Tw(1,1,0,1,1)+(-6*x^2-6*x+4)*Tw(1,1,1,0,0)-7*Tw(0,0,1,1,1), (-6*x^2-3*x -8)*Tw(1,1,1,1,0)+(3-5*x)*Tw(1,1,1,1,1)+(7+x)*Tw(1,0,0,0,1)+(-7*x^2+4*x-5)*Tw(1 ,0,0,1,0)+(-5*x^2-7*x+4)*Tw(1,0,0,1,1)+(-4*x^2-7*x-3)*Tw(1,0,1,0,0)+(4*x^2+7*x-\ 4)*Tw(1,0,1,0,1)+(7*x^2-3*x+8)*Tw(1,0,1,1,0)+(-x^2-3*x-2)*Tw(1,0,1,1,1)+(x^2+2* x-7)*Tw(1,1,0,0,0)+(x^2+2*x-2)*Tw(1,1,0,0,1)+(-9*x^2+7*x-1)*Tw(1,1,0,1,0)+(9-7* x)*Tw(0,0,1,0,1)+(6*x^2-3)*Tw(0,0,1,1,0)+(8*x^2-9*x-7)*Tw(0,0,1,1,1)+(4*x^2-7*x +6)*Tw(0,1,0,0,0)+(-3-7*x)*Tw(0,1,0,1,0)+(-5*x^2-6*x-8)*Tw(0,1,0,1,1)+(-x^2-7*x +1)*Tw(0,1,1,0,0)+(8*x^2+4*x-2)*Tw(0,1,1,0,1)+(x^2-4*x-8)*Tw(0,1,1,1,0)+(-9*x^2 +5*x-3)*Tw(0,1,1,1,1)+(1-5*x)*Tw(1,0,0,0,0)+(-9*x^2+3*x-3)*Tw(0,0,0,0,0)+(2*x^2 +4*x-6)*Tw(0,0,0,0,1)+(-5*x^2-x+9)*Tw(0,0,0,1,0)+(8*x^2+4*x-6)*Tw(0,0,0,1,1)+(4 *x^2+3*x)*Tw(0,0,1,0,0)+(9*x^2+6*x+5)*Tw(1,1,0,1,1)+(7*x^2+7*x-4)*Tw(1,1,1,0,0) +(3*x^2+7*x+4)*Tw(1,1,1,0,1)+3*x^2*Tw(0,1,0,0,1), (2*x^2-6*x-2)*Tw(1,1,0,1,1)+( -6*x^2+7*x+4)*Tw(1,1,1,0,0)+(-8*x^2-6*x+3)*Tw(1,1,1,0,1)+(3*x^2-2*x-4)*Tw(1,1,1 ,1,0)+(-x^2-3*x+7)*Tw(1,1,1,1,1)+(-8*x^2+8)*Tw(1,1,0,1,0)+(6*x^2-9*x+5)*Tw(1,1, 0,0,1)+(-6*x^2+9*x-9)*Tw(1,0,0,1,0)+(-6*x^2-3*x+2)*Tw(1,0,0,1,1)+(7*x^2+2*x+1)* Tw(1,0,1,0,0)+(-3*x^2-x-5)*Tw(1,0,1,0,1)+(5*x^2-2*x-9)*Tw(1,0,1,1,0)+(-3*x^2-3* x-3)*Tw(1,0,1,1,1)+(-2*x^2-9)*Tw(1,1,0,0,0)+(9*x^2-9*x+9)*Tw(0,0,1,1,0)+(-4*x^2 +8*x+3)*Tw(0,0,1,1,1)+(9*x^2-9*x-6)*Tw(0,1,0,0,0)+(4*x^2-3*x+1)*Tw(0,1,0,0,1)+( -3*x^2-9*x-5)*Tw(0,1,0,1,0)+(5*x^2+9*x-8)*Tw(0,1,0,1,1)+(-3*x^2+4*x)*Tw(0,1,1,0 ,0)+(-4*x^2+9*x+6)*Tw(0,1,1,0,1)+(-9*x^2-2*x+9)*Tw(0,1,1,1,0)+(-3*x^2+9*x-5)*Tw (0,1,1,1,1)+(-3*x^2-3*x+2)*Tw(1,0,0,0,0)+(-5*x^2+8*x+7)*Tw(1,0,0,0,1)+(-3*x^2-8 *x+2)*Tw(0,0,0,0,0)+(x^2+8*x+4)*Tw(0,0,0,0,1)+(-2*x^2+3*x+7)*Tw(0,0,0,1,0)+(-9* x^2-3*x-6)*Tw(0,0,0,1,1)+(6*x^2+4*x+1)*Tw(0,0,1,0,0)+(-5*x^2+6*x-7)*Tw(0,0,1,0, 1), (5*x^2+9*x+8)*Tw(0,1,0,1,1)+(6+8*x)*Tw(0,1,1,0,0)+(2*x^2+2*x-1)*Tw(0,1,1,0, 1)+(-5*x^2-6*x+4)*Tw(0,1,1,1,0)+(4*x^2+8*x-1)*Tw(0,1,1,1,1)+(-2*x^2+3*x+7)*Tw(1 ,0,0,0,0)+(7*x^2-2*x)*Tw(1,0,0,0,1)+(4*x^2-4*x-8)*Tw(1,0,0,1,0)+(-6*x^2-5*x-5)* Tw(1,0,0,1,1)+(2*x^2+x)*Tw(1,0,1,0,0)+(-2*x^2-6*x+7)*Tw(1,0,1,0,1)+(8*x^2-8*x+4 )*Tw(1,0,1,1,0)+(-4*x^2-6*x+7)*Tw(0,0,0,0,0)+(7*x^2-9*x-9)*Tw(0,0,0,0,1)+(-6*x^ 2-6*x+4)*Tw(0,0,0,1,0)+(3*x^2-2*x+9)*Tw(0,0,0,1,1)+(5*x^2+x+5)*Tw(0,0,1,0,0)+(-\ 5*x^2+9*x-8)*Tw(0,0,1,0,1)+(-2*x^2-7*x+5)*Tw(1,0,1,1,1)+(-2*x^2-2*x+6)*Tw(1,1,0 ,0,0)+(-7*x^2+4*x+1)*Tw(1,1,0,0,1)+(3*x^2+3*x-2)*Tw(1,1,0,1,0)+(x^2-4*x+6)*Tw(1 ,1,0,1,1)+(7*x^2-x+3)*Tw(1,1,1,0,0)+(9*x^2-x+1)*Tw(1,1,1,0,1)+(9*x^2+x+2)*Tw(1, 1,1,1,0)+(x^2+2)*Tw(1,1,1,1,1)+(6*x^2+5*x-6)*Tw(0,0,1,1,1)+(2*x^2-4*x+5)*Tw(0,1 ,0,0,0)+(6*x^2-9*x+1)*Tw(0,1,0,0,1)+(7*x^2-8*x-4)*Tw(0,1,0,1,0)-6*x*Tw(0,0,1,1, 0), (x^2+7*x-9)*Tw(1,1,0,1,1)+(6*x^2-5*x+6)*Tw(1,1,1,0,0)+(-6*x^2+8*x-5)*Tw(1,1 ,1,0,1)+(3*x^2-3*x+1)*Tw(1,1,1,1,0)+(-7*x^2+2*x+9)*Tw(1,1,1,1,1)+(-3*x^2-6*x-4) *Tw(0,0,1,0,0)+(-5*x^2-9*x+1)*Tw(0,0,1,0,1)+(-3*x^2-3*x-6)*Tw(0,0,1,1,0)+(4*x^2 +4*x)*Tw(0,0,1,1,1)+(2*x^2-4*x-7)*Tw(0,1,0,0,0)+(-x^2-8*x+3)*Tw(0,1,0,0,1)+(-6* x^2-9*x+7)*Tw(0,1,0,1,0)+(2*x^2-5*x-9)*Tw(0,1,0,1,1)+(9*x^2-x)*Tw(0,1,1,0,0)+(5 *x^2+7*x+3)*Tw(0,1,1,0,1)+(-9*x^2-7*x+4)*Tw(0,1,1,1,0)+(-x^2+2*x-3)*Tw(0,1,1,1, 1)+(2*x^2+7*x-1)*Tw(1,0,0,0,0)+(8*x^2-7*x-6)*Tw(1,0,0,0,1)+(-6*x^2-2*x+9)*Tw(1, 0,0,1,0)+(-2*x^2-8*x+5)*Tw(1,0,0,1,1)+(-3*x^2+x-3)*Tw(0,0,0,0,0)+(6*x^2+6*x+5)* Tw(0,0,0,0,1)+(4*x^2-3*x-2)*Tw(0,0,0,1,0)+(6*x^2-5*x-6)*Tw(0,0,0,1,1)+(6*x^2-7* x+7)*Tw(1,0,1,0,0)+(6*x^2-4*x+8)*Tw(1,0,1,0,1)+(8*x^2+3*x+5)*Tw(1,0,1,1,0)+(-4* x^2-3*x)*Tw(1,0,1,1,1)+(-3*x^2-3*x-1)*Tw(1,1,0,0,0)+(-x^2-5*x)*Tw(1,1,0,0,1)+(-\ 7*x^2-6*x+3)*Tw(1,1,0,1,0)] # Output Gröbner basis: [(47338*x^10-19111*x^9-219332*x^8+345757*x^7-99284*x^6-300503*x^5+510798*x^4-\ 448785*x^3-118074*x^2+5172*x-41769)/(36372*x^10+11344*x^9-178741*x^8+246116*x^7 +176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(0,0,1, 1,0)-(24*x^10+103030*x^9-21840*x^8-344482*x^7+124684*x^6+50741*x^5+77595*x^4-\ 186411*x^3-71933*x^2-45919*x-35217)/(36372*x^10+11344*x^9-178741*x^8+246116*x^7 +176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(1,0,1, 1,0)+(4540*x^10+100227*x^9+71739*x^8-409463*x^7-156869*x^6+595156*x^5-331594*x^ 4-198434*x^3+199776*x^2-2812*x-41763)/(36372*x^10+11344*x^9-178741*x^8+246116*x ^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(0,1, 1,1,0)-(6332*x^10+102032*x^9-84976*x^8-316444*x^7+362470*x^6-86018*x^5+137403*x ^4-50897*x^3-117504*x^2-22490*x+2442)/(36372*x^10+11344*x^9-178741*x^8+246116*x ^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(1,1, 1,1,0)+(3212*x^10-12058*x^9+18958*x^8-158280*x^7-34592*x^6+247671*x^5-98603*x^4 +30756*x^3-92259*x^2+26542*x+34176)/(36372*x^10+11344*x^9-178741*x^8+246116*x^7 +176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(0,0,0, 0,1)-(20086*x^10+35832*x^9-294580*x^8+42394*x^7+933465*x^6-1089722*x^5-241693*x ^4+708793*x^3+2861*x^2+15612*x+47652)/(36372*x^10+11344*x^9-178741*x^8+246116*x ^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(1,0, 0,0,1)+(12086*x^10-27309*x^9+64178*x^8+62332*x^7-313647*x^6+450101*x^5-275763*x ^4-218701*x^3+106733*x^2+33891*x-5223)/(36372*x^10+11344*x^9-178741*x^8+246116* x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(0,1 ,0,0,1)-(4304*x^10+5962*x^9+14270*x^8-66563*x^7+1486*x^6-42561*x^5+139671*x^4+ 86027*x^3-47180*x^2+12087*x+21339)/(36372*x^10+11344*x^9-178741*x^8+246116*x^7+ 176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(1,1,0,0 ,1)+(470*x^10+81932*x^9-31008*x^8-190548*x^7+222371*x^6-13368*x^5-338806*x^4+ 274868*x^3-102085*x^2-30601*x+52074)/(36372*x^10+11344*x^9-178741*x^8+246116*x^ 7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(0,0,1 ,0,1)-(18254*x^10+22223*x^9-157550*x^8+96534*x^7+306503*x^6-891662*x^5+732480*x ^4-56206*x^3-318478*x^2-43867*x-3891)/(36372*x^10+11344*x^9-178741*x^8+246116*x ^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(1,0, 1,0,1)+(5058*x^10+27442*x^9-46220*x^8-153295*x^7+148592*x^6+220287*x^5+7726*x^4 -8597*x^3-108598*x^2-42333*x+1311)/(36372*x^10+11344*x^9-178741*x^8+246116*x^7+ 176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(0,1,1,0 ,1)-(15010*x^10-19746*x^9-232148*x^8+36989*x^7+286454*x^6+139810*x^5-759534*x^4 +380600*x^3-46557*x^2-75086*x+37053)/(36372*x^10+11344*x^9-178741*x^8+246116*x^ 7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(1,1,1 ,0,1)-(30904*x^10-6054*x^9-298532*x^8+147942*x^7+346914*x^6-612691*x^5+225639*x ^4+127939*x^3-291953*x^2-14937*x+41940)/(36372*x^10+11344*x^9-178741*x^8+246116 *x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(0, 0,0,1,1)-(53744*x^10+4091*x^9-309254*x^8+258879*x^7+428737*x^6-610921*x^5+ 210301*x^4+65853*x^3+11579*x^2-17509*x-26934)/(36372*x^10+11344*x^9-178741*x^8+ 246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366) *Tw(1,0,0,1,1)+(4232*x^10-18965*x^9-81824*x^8+32508*x^7+417862*x^6-233628*x^5-\ 433940*x^4+135731*x^3+92118*x^2-86823*x-34629)/(36372*x^10+11344*x^9-178741*x^8 +246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366 )*Tw(0,1,0,1,1)-(19958*x^10+18390*x^9-139759*x^8+13544*x^7+350564*x^6-116125*x^ 5-296425*x^4+238644*x^3-137730*x^2-37032*x+43080)/(36372*x^10+11344*x^9-178741* x^8+246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-\ 30366)*Tw(0,0,0,0,0)-(13152*x^10-1637*x^9-14573*x^8+22344*x^7-137667*x^6+340021 *x^5-247066*x^4-189889*x^3-50689*x^2+37592*x+25428)/(36372*x^10+11344*x^9-\ 178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+ 13902*x-30366)*Tw(1,0,0,0,0)+(51940*x^10-50859*x^9-236234*x^8+562497*x^7-144974 *x^6-563523*x^5+358744*x^4-46943*x^3+88660*x^2+28729*x-21351)/(36372*x^10+11344 *x^9-178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^ 2+13902*x-30366)*Tw(0,1,0,0,0)+(5936*x^10+53529*x^9-41374*x^8-197298*x^7+402724 *x^6-76214*x^5-502774*x^4+274946*x^3+180603*x^2-1817*x+237)/(36372*x^10+11344*x ^9-178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+ 13902*x-30366)*Tw(1,1,0,0,0)+(54580*x^10+14629*x^9-229542*x^8+181002*x^7+99680* x^6+43080*x^5-75702*x^4-291010*x^3-3638*x^2-34448*x-35688)/(36372*x^10+11344*x^ 9-178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+ 13902*x-30366)*Tw(0,0,1,0,0)+(33450*x^10-46675*x^9-165688*x^8+226388*x^7-199591 *x^6+214769*x^5-495798*x^4+290480*x^3+82947*x^2-39667*x+14028)/(36372*x^10+ 11344*x^9-178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-\ 52301*x^2+13902*x-30366)*Tw(1,0,1,0,0)-(38406*x^10+48208*x^9-156417*x^8+16111*x ^7+133254*x^6-294015*x^5+184800*x^4-157209*x^3-29088*x^2+83502*x+13647)/(36372* x^10+11344*x^9-178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^ 3-52301*x^2+13902*x-30366)*Tw(0,1,1,0,0)+(5638*x^10+43336*x^9+108811*x^8-313637 *x^7-146687*x^6+864993*x^5-547576*x^4+98959*x^3+50536*x^2-68916*x-1500)/(36372* x^10+11344*x^9-178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^ 3-52301*x^2+13902*x-30366)*Tw(1,1,1,0,0)-(39538*x^10+1365*x^9-250537*x^8+288612 *x^7+474018*x^6-805897*x^5+3942*x^4+462758*x^3-94495*x^2+10957*x+43386)/(36372* x^10+11344*x^9-178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^ 3-52301*x^2+13902*x-30366)*Tw(0,0,0,1,0)-(32336*x^10-44495*x^9-189732*x^8+ 490564*x^7-270400*x^6-339458*x^5+767007*x^4-366653*x^3-12654*x^2-39060*x-76404) /(36372*x^10+11344*x^9-178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829*x^4-\ 144140*x^3-52301*x^2+13902*x-30366)*Tw(1,0,0,1,0)+(16300*x^10+4116*x^9+53571*x^ 8+62408*x^7-226479*x^6-51039*x^5-220872*x^4+358745*x^3+55326*x^2+42971*x+48003) /(36372*x^10+11344*x^9-178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829*x^4-\ 144140*x^3-52301*x^2+13902*x-30366)*Tw(0,1,0,1,0)-(39350*x^10-49078*x^9-324677* x^8+449663*x^7+257464*x^6-615669*x^5+111180*x^4+126792*x^3+82657*x^2+44679*x+ 6681)/(36372*x^10+11344*x^9-178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829* x^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(1,1,0,1,0)+Tw(1,1,0,1,1), (18094*x^ 10-5351*x^9-63068*x^8+28465*x^7+49462*x^6-77191*x^5+51359*x^4+59383*x^3+162316* x^2+14058*x+48168)/(36372*x^10+11344*x^9-178741*x^8+246116*x^7+176800*x^6-\ 619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(1,0,0,1,0)+(11416* x^10-11332*x^9-37190*x^8-42619*x^7-178452*x^6+113619*x^5+252181*x^4+145080*x^3+ 143241*x^2+17718*x+30096)/(36372*x^10+11344*x^9-178741*x^8+246116*x^7+176800*x^ 6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(0,1,0,1,0)+( 19858*x^10+42529*x^9-86301*x^8-289561*x^7+245652*x^6+299030*x^5-561311*x^4+ 235523*x^3-270581*x^2+33744*x-23580)/(36372*x^10+11344*x^9-178741*x^8+246116*x^ 7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(1,1,0 ,1,0)-(30584*x^10+53292*x^9-54312*x^8+57120*x^7+83169*x^6-84041*x^5+498519*x^4-\ 206730*x^3+397014*x^2-72486*x+56322)/(36372*x^10+11344*x^9-178741*x^8+246116*x^ 7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(0,0,1 ,1,0)+(17772*x^10+9066*x^9+122276*x^8+204296*x^7-390672*x^6+63635*x^5+414082*x^ 4-332389*x^3+447570*x^2-68382*x+68922)/(36372*x^10+11344*x^9-178741*x^8+246116* x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(1,0 ,1,1,0)+(8602*x^10-8071*x^9-222657*x^8-112978*x^7+422608*x^6-168384*x^5-153729* x^4+291245*x^3-218705*x^2+82362*x-65232)/(36372*x^10+11344*x^9-178741*x^8+ 246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366) *Tw(0,1,1,1,0)+(2920*x^10+10862*x^9+135861*x^8-5603*x^7-294495*x^6+216980*x^5-\ 83244*x^4+273698*x^3-47945*x^2+50826*x-17550)/(36372*x^10+11344*x^9-178741*x^8+ 246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366) *Tw(1,1,1,1,0)+(16004*x^10-24532*x^9-64899*x^8+105086*x^7+158582*x^6+791*x^5-\ 41460*x^4+206686*x^3-187153*x^2+67254*x-9774)/(36372*x^10+11344*x^9-178741*x^8+ 246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366) *Tw(0,0,0,0,1)+(36938*x^10+27365*x^9-136595*x^8-25788*x^7+79873*x^6+109121*x^5+ 37418*x^4-592967*x^3+5113*x^2-56412*x-19926)/(36372*x^10+11344*x^9-178741*x^8+ 246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366) *Tw(1,0,0,0,1)+(860*x^10-31760*x^9+13209*x^8-10236*x^7-175440*x^6+131235*x^5-\ 250857*x^4-10673*x^3+30688*x^2+24582*x-2358)/(36372*x^10+11344*x^9-178741*x^8+ 246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366) *Tw(0,1,0,0,1)-(25748*x^10-6694*x^9-97220*x^8+157781*x^7+21397*x^6-137133*x^5+ 517358*x^4-325152*x^3+188071*x^2-52518*x+28872)/(36372*x^10+11344*x^9-178741*x^ 8+246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-\ 30366)*Tw(1,1,0,0,1)+(530*x^10-18417*x^9-132290*x^8+115742*x^7-31283*x^6-422894 *x^5+680445*x^4-745344*x^3+419850*x^2-154782*x+73044)/(36372*x^10+11344*x^9-\ 178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+ 13902*x-30366)*Tw(0,0,1,0,1)+(20044*x^10+46548*x^9-25143*x^8-14231*x^7+166444*x ^6+11540*x^5-171551*x^4+289316*x^3+164495*x^2+65202*x+6588)/(36372*x^10+11344*x ^9-178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+ 13902*x-30366)*Tw(1,0,1,0,1)+(28146*x^10+16343*x^9-166444*x^8+162237*x^7+408755 *x^6-411430*x^5+160502*x^4+4162*x^3-153594*x^2+12516*x-18594)/(36372*x^10+11344 *x^9-178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^ 2+13902*x-30366)*Tw(0,1,1,0,1)+(42662*x^10+71141*x^9-101336*x^8-197913*x^7+ 104585*x^6+146150*x^5+159*x^4+87411*x^3-30824*x^2+60900*x-14670)/(36372*x^10+ 11344*x^9-178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-\ 52301*x^2+13902*x-30366)*Tw(1,1,1,0,1)+(54920*x^10+88286*x^9-150093*x^8-61274*x ^7+231337*x^6-191075*x^5+127756*x^4+170386*x^3+67734*x^2+51030*x-30132)/(36372* x^10+11344*x^9-178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^ 3-52301*x^2+13902*x-30366)*Tw(0,0,0,1,1)+(12526*x^10+41343*x^9-23813*x^8-118054 *x^7+10004*x^6+180639*x^5+111288*x^4-287170*x^3+125273*x^2-36972*x+25398)/( 36372*x^10+11344*x^9-178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829*x^4-\ 144140*x^3-52301*x^2+13902*x-30366)*Tw(1,0,0,1,1)-(11866*x^10+50363*x^9-74054*x ^8-170640*x^7+267327*x^6+261661*x^5-62277*x^4+78594*x^3+6856*x^2+55704*x+31122) /(36372*x^10+11344*x^9-178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829*x^4-\ 144140*x^3-52301*x^2+13902*x-30366)*Tw(0,1,0,1,1)-(9350*x^10-34029*x^9-87527*x^ 8+274035*x^7-24510*x^6-531850*x^5+478937*x^4-401561*x^3+169032*x^2-80166*x+ 37728)/(36372*x^10+11344*x^9-178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829 *x^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(0,0,0,0,0)+(9546*x^10+35381*x^9+ 7723*x^8-9017*x^7+71842*x^6+23738*x^5+231312*x^4+98587*x^3+9914*x^2-19926*x-\ 14724)/(36372*x^10+11344*x^9-178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829 *x^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(1,0,0,0,0)-(28490*x^10+53779*x^9-\ 132176*x^8-59055*x^7+482041*x^6-161461*x^5-218740*x^4+251020*x^3-245542*x^2+ 56580*x-19314)/(36372*x^10+11344*x^9-178741*x^8+246116*x^7+176800*x^6-619783*x^ 5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(0,1,0,0,0)-(658*x^10+12777* x^9+37321*x^8-19842*x^7-63270*x^6+187313*x^5+21539*x^4-263019*x^3-78295*x^2-\ 26676*x+2736)/(36372*x^10+11344*x^9-178741*x^8+246116*x^7+176800*x^6-619783*x^5 +702829*x^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(1,1,0,0,0)-(19322*x^10+75563 *x^9+23754*x^8-102524*x^7+91487*x^6+198752*x^5+273188*x^4+137555*x^3+81804*x^2+ 15402*x+22356)/(36372*x^10+11344*x^9-178741*x^8+246116*x^7+176800*x^6-619783*x^ 5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(0,0,1,0,0)-(27672*x^10+ 63368*x^9-83308*x^8-103631*x^7+202850*x^6-136768*x^5-10812*x^4-84618*x^3-35384* x^2+22374*x+504)/(36372*x^10+11344*x^9-178741*x^8+246116*x^7+176800*x^6-619783* x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(1,0,1,0,0)+(24018*x^10+ 53363*x^9+6128*x^8+92918*x^7+18432*x^6-117589*x^5+335774*x^4-217661*x^3+91502*x ^2-78876*x-3510)/(36372*x^10+11344*x^9-178741*x^8+246116*x^7+176800*x^6-619783* x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(0,1,1,0,0)+(41182*x^10+ 15861*x^9-218988*x^8+58766*x^7+411679*x^6-234464*x^5-92983*x^4+174644*x^3-\ 105546*x^2+18408*x-19584)/(36372*x^10+11344*x^9-178741*x^8+246116*x^7+176800*x^ 6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(1,1,1,0,0)+(1460 *x^10+11142*x^9-7574*x^8-121531*x^7+49130*x^6+355342*x^5-203883*x^4-390272*x^3+ 78055*x^2-56880*x-8442)/(36372*x^10+11344*x^9-178741*x^8+246116*x^7+176800*x^6-\ 619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(0,0,0,1,0)+Tw(0,0, 1,1,1), (36026*x^10+85178*x^9-202537*x^8-52513*x^7+476145*x^6-243546*x^5+161120 *x^4+115255*x^3-246983*x^2+109320*x-25890)/(36372*x^10+11344*x^9-178741*x^8+ 246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366) *Tw(0,0,0,0,0)+(30684*x^10+9121*x^9-50252*x^8+102697*x^7-189226*x^6+335510*x^5+ 149379*x^4-173679*x^3+49442*x^2+7858*x-21414)/(36372*x^10+11344*x^9-178741*x^8+ 246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366) *Tw(1,0,0,0,0)-(56896*x^10-5789*x^9-326685*x^8+395005*x^7+269079*x^6-402572*x^5 -173390*x^4+307049*x^3-139353*x^2+36641*x-14775)/(36372*x^10+11344*x^9-178741*x ^8+246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-\ 30366)*Tw(0,1,0,0,0)+(31948*x^10-27411*x^9-128875*x^8+415027*x^7-223142*x^6-\ 567953*x^5+985089*x^4-292021*x^3-17022*x^2+69427*x-44529)/(36372*x^10+11344*x^9 -178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+ 13902*x-30366)*Tw(1,1,0,0,0)-(49648*x^10+73035*x^9-110577*x^8-34734*x^7+13747*x ^6+634476*x^5-184422*x^4+73785*x^3+44377*x^2-59404*x+7914)/(36372*x^10+11344*x^ 9-178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+ 13902*x-30366)*Tw(0,0,1,0,0)-(50346*x^10+13875*x^9-199911*x^8+274953*x^7-78260* x^6+182568*x^5-195992*x^4+79786*x^3-53999*x^2-21977*x+14196)/(36372*x^10+11344* x^9-178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2 +13902*x-30366)*Tw(1,0,1,0,0)+(5658*x^10+15392*x^9+15777*x^8+52112*x^7-129421*x ^6+95882*x^5+384883*x^4-369293*x^3+126080*x^2-27234*x-19335)/(36372*x^10+11344* x^9-178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2 +13902*x-30366)*Tw(0,1,1,0,0)+(15038*x^10+100840*x^9-407259*x^8+82932*x^7+ 1139508*x^6-1572303*x^5+553952*x^4+20339*x^3-88598*x^2+100872*x-31056)/(36372*x ^10+11344*x^9-178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3 -52301*x^2+13902*x-30366)*Tw(1,1,1,0,0)+(30766*x^10+14007*x^9-251261*x^8+114832 *x^7+454590*x^6-408200*x^5-86747*x^4-175934*x^3+3763*x^2+32987*x+30450)/(36372* x^10+11344*x^9-178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^ 3-52301*x^2+13902*x-30366)*Tw(0,0,0,1,0)+(4688*x^10+108167*x^9-259646*x^8+ 134528*x^7+424722*x^6-758882*x^5+558696*x^4-5500*x^3+39762*x^2-29202*x-2508)/( 36372*x^10+11344*x^9-178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829*x^4-\ 144140*x^3-52301*x^2+13902*x-30366)*Tw(1,0,0,1,0)-(9256*x^10-195780*x^9+124876* x^8+452784*x^7-791572*x^6+395444*x^5-368563*x^4-7124*x^3-19371*x^2+21649*x+6159 )/(36372*x^10+11344*x^9-178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829*x^4-\ 144140*x^3-52301*x^2+13902*x-30366)*Tw(0,1,0,1,0)+(23126*x^10+143290*x^9-346006 *x^8-177849*x^7+940576*x^6-339337*x^5-624267*x^4+373420*x^3-167915*x^2+51117*x+ 267)/(36372*x^10+11344*x^9-178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829*x ^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(1,1,0,1,0)-(49030*x^10+37015*x^9-\ 179782*x^8+260160*x^7-74698*x^6-48784*x^5+633991*x^4-439899*x^3+253575*x^2-\ 72294*x+7371)/(36372*x^10+11344*x^9-178741*x^8+246116*x^7+176800*x^6-619783*x^5 +702829*x^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(0,0,1,1,0)-(88020*x^10-\ 164366*x^9-156503*x^8+420131*x^7-314591*x^6+472789*x^5-946893*x^4+425844*x^3-\ 203433*x^2+80411*x-8001)/(36372*x^10+11344*x^9-178741*x^8+246116*x^7+176800*x^6 -619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(1,0,1,1,0)+( 107252*x^10-47233*x^9-475041*x^8+522100*x^7+494774*x^6-1015957*x^5+444655*x^4+ 21244*x^3-241156*x^2+166256*x-33483)/(36372*x^10+11344*x^9-178741*x^8+246116*x^ 7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(0,1,1 ,1,0)-(83956*x^10-181176*x^9-171866*x^8+615080*x^7-465817*x^6+217923*x^5-420547 *x^4-3271*x^3+135292*x^2-54722*x+30882)/(36372*x^10+11344*x^9-178741*x^8+246116 *x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(1, 1,1,1,0)-(46952*x^10-136878*x^9+185697*x^8+266536*x^7-982772*x^6+902555*x^5+ 131805*x^4-442901*x^3+149959*x^2-39388*x+1284)/(36372*x^10+11344*x^9-178741*x^8 +246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366 )*Tw(0,0,0,0,1)-(9074*x^10-142484*x^9+286853*x^8+350896*x^7-1299660*x^6+908037* x^5+248484*x^4+33175*x^3+49577*x^2-25692*x-42456)/(36372*x^10+11344*x^9-178741* x^8+246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-\ 30366)*Tw(1,0,0,0,1)-(63590*x^10-128751*x^9+26849*x^8+364018*x^7-725906*x^6+ 856966*x^5-338855*x^4+6918*x^3+100135*x^2-63129*x-1545)/(36372*x^10+11344*x^9-\ 178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+ 13902*x-30366)*Tw(0,1,0,0,1)-(11596*x^10+97446*x^9-250453*x^8+20846*x^7+599702* x^6-726624*x^5+496132*x^4-171213*x^3+112876*x^2-51453*x+7083)/(36372*x^10+11344 *x^9-178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^ 2+13902*x-30366)*Tw(1,1,0,0,1)+(71830*x^10-184796*x^9+53272*x^8+431089*x^7-\ 894016*x^6+817672*x^5-246290*x^4-400628*x^3+429429*x^2-191593*x+56142)/(36372*x ^10+11344*x^9-178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3 -52301*x^2+13902*x-30366)*Tw(0,0,1,0,1)+(29462*x^10+41137*x^9-208797*x^8+245193 *x^7+438661*x^6-1226800*x^5+1317515*x^4-286593*x^3-105742*x^2+114721*x-34953)/( 36372*x^10+11344*x^9-178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829*x^4-\ 144140*x^3-52301*x^2+13902*x-30366)*Tw(1,0,1,0,1)+(27774*x^10-49018*x^9-192091* x^8+314941*x^7+241414*x^6-617621*x^5+46321*x^4+137944*x^3-40363*x^2+21555*x-\ 11847)/(36372*x^10+11344*x^9-178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829 *x^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(0,1,1,0,1)+(2878*x^10+219722*x^9-\ 237628*x^8-430660*x^7+876872*x^6-7612*x^5-421601*x^4+206870*x^3-132795*x^2+ 37910*x+26379)/(36372*x^10+11344*x^9-178741*x^8+246116*x^7+176800*x^6-619783*x^ 5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(1,1,1,0,1)+(43228*x^10+ 148566*x^9-340573*x^8+80734*x^7+706560*x^6-985466*x^5+1073521*x^4-334897*x^3-\ 135421*x^2+123225*x-37512)/(36372*x^10+11344*x^9-178741*x^8+246116*x^7+176800*x ^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(0,0,0,1,1)+( 54368*x^10+42349*x^9-197020*x^8+45973*x^7+267455*x^6+73308*x^5-94628*x^4-60185* x^3+52079*x^2-62663*x+26358)/(36372*x^10+11344*x^9-178741*x^8+246116*x^7+176800 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x^10+11344*x^9-178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^ 3-52301*x^2+13902*x-30366)*Tw(0,1,1,1,0)+(29840*x^10-71448*x^9-39006*x^8+296035 *x^7-345619*x^6+115367*x^5+424106*x^4-306891*x^3+100390*x^2-35296*x-43986)/( 36372*x^10+11344*x^9-178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829*x^4-\ 144140*x^3-52301*x^2+13902*x-30366)*Tw(1,1,1,1,0)+(14572*x^10-59640*x^9+23861*x ^8+92890*x^7-296128*x^6+107342*x^5-57171*x^4-141734*x^3-59538*x^2+48646*x+55794 )/(36372*x^10+11344*x^9-178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829*x^4-\ 144140*x^3-52301*x^2+13902*x-30366)*Tw(0,0,0,0,1)+(13756*x^10-59870*x^9+14230*x ^8+212938*x^7-326309*x^6+227987*x^5+161974*x^4-342653*x^3+171429*x^2+115538*x-\ 26676)/(36372*x^10+11344*x^9-178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829 *x^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(1,0,0,0,1)+(7792*x^10-64592*x^9+ 98898*x^8+161363*x^7-476282*x^6+479444*x^5+21990*x^4-363676*x^3+181318*x^2+ 42484*x-29367)/(36372*x^10+11344*x^9-178741*x^8+246116*x^7+176800*x^6-619783*x^ 5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(0,1,0,0,1)-(29944*x^10-\ 11152*x^9-93600*x^8+142049*x^7+61141*x^6-318652*x^5+229530*x^4+53978*x^3-206557 *x^2+45720*x+7587)/(36372*x^10+11344*x^9-178741*x^8+246116*x^7+176800*x^6-\ 619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(1,1,0,0,1)-(7040*x ^10-93918*x^9+75969*x^8+114152*x^7-530933*x^6+483788*x^5+24124*x^4-493993*x^3+ 404584*x^2-48229*x-28086)/(36372*x^10+11344*x^9-178741*x^8+246116*x^7+176800*x^ 6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(0,0,1,0,1)-( 19876*x^10+51644*x^9-113171*x^8-13720*x^7+424376*x^6-499579*x^5+98622*x^4+ 423434*x^3-289969*x^2+11246*x+73761)/(36372*x^10+11344*x^9-178741*x^8+246116*x^ 7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(1,0,1 ,0,1)-(5340*x^10+2342*x^9+24318*x^8+55311*x^7-71060*x^6+104266*x^5+156499*x^4-\ 189991*x^3+47950*x^2+8492*x-36621)/(36372*x^10+11344*x^9-178741*x^8+246116*x^7+ 176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(0,1,1,0 ,1)+(10468*x^10-49242*x^9+60824*x^8+168453*x^7-211550*x^6+90549*x^5+445706*x^4-\ 597729*x^3+124959*x^2+68881*x-37209)/(36372*x^10+11344*x^9-178741*x^8+246116*x^ 7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(1,1,1 ,0,1)-(19220*x^10+44300*x^9-174195*x^8+48840*x^7+311505*x^6-679420*x^5+234797*x ^4+338459*x^3-365893*x^2+54987*x+85518)/(36372*x^10+11344*x^9-178741*x^8+246116 *x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(0, 0,0,1,1)-(28444*x^10+10218*x^9-112560*x^8+132165*x^7+74303*x^6-266063*x^5+ 259880*x^4+53377*x^3+75359*x^2-77487*x-27912)/(36372*x^10+11344*x^9-178741*x^8+ 246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366) *Tw(1,0,0,1,1)+(21736*x^10+7874*x^9-48287*x^8+19417*x^7+158759*x^6+4708*x^5-\ 33169*x^4+373860*x^3+143037*x^2-143266*x-58905)/(36372*x^10+11344*x^9-178741*x^ 8+246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-\ 30366)*Tw(0,1,0,1,1)+Tw(0,1,1,1,1), (27154*x^10-33580*x^9+87401*x^8+307141*x^7-\ 734653*x^6+124608*x^5+442266*x^4-36779*x^3-21889*x^2-10993*x-8412)/(36372*x^10+ 11344*x^9-178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-\ 52301*x^2+13902*x-30366)*Tw(1,1,0,1,0)+(32698*x^10+70287*x^9-182091*x^8-330*x^7 +440550*x^6-617700*x^5+708103*x^4-212956*x^3-30192*x^2+68211*x-14112)/(36372*x^ 10+11344*x^9-178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-\ 52301*x^2+13902*x-30366)*Tw(0,0,1,1,0)+(19272*x^10-63634*x^9-46246*x^8+305647*x ^7+115948*x^6-3318*x^5-141408*x^4-37767*x^3-98871*x^2-1551*x+14280)/(36372*x^10 +11344*x^9-178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-\ 52301*x^2+13902*x-30366)*Tw(1,0,1,1,0)-(8420*x^10-37023*x^9-38494*x^8+202536*x^ 7+373886*x^6+95787*x^5-490009*x^4+510967*x^3-302315*x^2-92465*x+70914)/(36372*x ^10+11344*x^9-178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3 -52301*x^2+13902*x-30366)*Tw(0,1,1,1,0)+(28888*x^10-42868*x^9-100233*x^8+323346 *x^7+150775*x^6-353500*x^5+83186*x^4-177633*x^3+81907*x^2+36122*x-20478)/(36372 *x^10+11344*x^9-178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x ^3-52301*x^2+13902*x-30366)*Tw(1,1,1,1,0)+(3176*x^10-88786*x^9+52393*x^8+120775 *x^7-558623*x^6+449746*x^5+95497*x^4+12438*x^3-163406*x^2-12806*x+35904)/(36372 *x^10+11344*x^9-178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x ^3-52301*x^2+13902*x-30366)*Tw(0,0,0,0,1)-(20110*x^10+35846*x^9-258174*x^8-\ 141940*x^7+751164*x^6-193490*x^5-939179*x^4+601693*x^3-48534*x^2-111316*x+36300 )/(36372*x^10+11344*x^9-178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829*x^4-\ 144140*x^3-52301*x^2+13902*x-30366)*Tw(1,0,0,0,1)+(42638*x^10+11033*x^9-90225*x 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,0,1)-(24282*x^10+2096*x^9-133353*x^8+168002*x^7+207164*x^6-569224*x^5-25567*x^ 4-96432*x^3+86575*x^2+69745*x-3396)/(36372*x^10+11344*x^9-178741*x^8+246116*x^7 +176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(0,1,1, 0,1)+(50270*x^10-81404*x^9-29486*x^8+703074*x^7-788372*x^6-511417*x^5+994932*x^ 4-571393*x^3+27285*x^2+122973*x-32586)/(36372*x^10+11344*x^9-178741*x^8+246116* x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(1,1 ,1,0,1)-(26164*x^10+42010*x^9-301597*x^8-27644*x^7+699893*x^6-753071*x^5+417910 *x^4+496761*x^3-377562*x^2-67878*x+50202)/(36372*x^10+11344*x^9-178741*x^8+ 246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366) *Tw(0,0,0,1,1)-(17132*x^10+37799*x^9-109918*x^8-150798*x^7+383533*x^6+125308*x^ 5-303853*x^4+80932*x^3+100857*x^2-44096*x-19368)/(36372*x^10+11344*x^9-178741*x ^8+246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-\ 30366)*Tw(1,0,0,1,1)+(20672*x^10+41487*x^9-1215*x^8-189127*x^7+286989*x^6+ 833248*x^5-1163952*x^4+254813*x^3+307768*x^2-87977*x-23898)/(36372*x^10+11344*x ^9-178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+ 13902*x-30366)*Tw(0,1,0,1,1)-(13778*x^10+75064*x^9-68760*x^8-234002*x^7+501060* x^6+147702*x^5-488445*x^4+488996*x^3-187089*x^2-88966*x+47874)/(36372*x^10+ 11344*x^9-178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-\ 52301*x^2+13902*x-30366)*Tw(0,0,0,0,0)-(23196*x^10+58747*x^9-78757*x^8-50225*x^ 7+228958*x^6-237961*x^5+347708*x^4-166595*x^3-133047*x^2+71530*x+24894)/(36372* x^10+11344*x^9-178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^ 3-52301*x^2+13902*x-30366)*Tw(1,0,0,0,0)+(10864*x^10+42849*x^9-175852*x^8-79883 *x^7+649620*x^6-736823*x^5-54133*x^4-21646*x^3+89579*x^2+54437*x-11484)/(36372* x^10+11344*x^9-178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^ 3-52301*x^2+13902*x-30366)*Tw(0,1,0,0,0)-(1876*x^10-22917*x^9-37544*x^8+244863* x^7+17093*x^6-574682*x^5+882218*x^4-47348*x^3-242320*x^2+22751*x+11778)/(36372* x^10+11344*x^9-178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^ 3-52301*x^2+13902*x-30366)*Tw(1,1,0,0,0)+(36892*x^10+118965*x^9-140083*x^8-\ 227835*x^7+529336*x^6-121665*x^5+254928*x^4-186676*x^3+96830*x^2+30308*x-34308) /(36372*x^10+11344*x^9-178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829*x^4-\ 144140*x^3-52301*x^2+13902*x-30366)*Tw(0,0,1,0,0)-(17814*x^10-30923*x^9+87203*x ^8+333457*x^7-561585*x^6+269395*x^5+275185*x^4-218054*x^3-70006*x^2+41656*x+ 12558)/(36372*x^10+11344*x^9-178741*x^8+246116*x^7+176800*x^6-619783*x^5+702829 *x^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(1,0,1,0,0)-(39810*x^10+35542*x^9-\ 212344*x^8+60238*x^7+122021*x^6-644628*x^5+580875*x^4-235164*x^3-106905*x^2+ 101485*x+16242)/(36372*x^10+11344*x^9-178741*x^8+246116*x^7+176800*x^6-619783*x ^5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(0,1,1,0,0)-(17186*x^10+ 2366*x^9-217313*x^8+228471*x^7+500711*x^6-828200*x^5+268102*x^4-19932*x^3-\ 111491*x^2+63674*x+20910)/(36372*x^10+11344*x^9-178741*x^8+246116*x^7+176800*x^ 6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(1,1,1,0,0)-( 40114*x^10+60723*x^9-263512*x^8-21816*x^7+804673*x^6-549590*x^5-468123*x^4+ 540782*x^3-170527*x^2-79624*x+45864)/(36372*x^10+11344*x^9-178741*x^8+246116*x^ 7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(0,0,0 ,1,0)+(32572*x^10-45157*x^9-8548*x^8+168445*x^7-438991*x^6+451039*x^5-424360*x^ 4+160943*x^3-132549*x^2-21524*x+52062)/(36372*x^10+11344*x^9-178741*x^8+246116* x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(1,0 ,0,1,0)+(41392*x^10-14148*x^9-190706*x^8+208528*x^7+87455*x^6-837104*x^5-20231* x^4+216799*x^3-80318*x^2+19763*x+28338)/(36372*x^10+11344*x^9-178741*x^8+246116 *x^7+176800*x^6-619783*x^5+702829*x^4-144140*x^3-52301*x^2+13902*x-30366)*Tw(0, 1,0,1,0)+Tw(1,1,1,1,1)] # Leading monomials: [Tw(1,1,0,1,1), Tw(0,0,1,1,1), Tw(1,0,1,1,1), Tw(0,1,1,1,1), Tw(1,1,1,1,1)] # Time by Buchberger, Time by F4, Speedup by F4: 0.43, 0.04, 10.65 # Example 35, 5 polynomials of the same degree 6 with random coefficients in k[x]_(<= 2) # Input generating set: [(9*x^2-5*x-9)*Tw(0,0,0,0,0,1)+(-9*x^2+x-6)*Tw(0,0,0,0,1,0)+(-5*x^2-2*x+9)*Tw(0 ,0,0,0,1,1)+(7*x^2+8*x+6)*Tw(0,0,0,1,0,0)+(3*x^2+4*x-4)*Tw(0,0,0,1,0,1)+(-7*x^2 -x-8)*Tw(0,0,0,1,1,0)+(9*x^2-x-5)*Tw(0,0,0,1,1,1)+(-7*x^2-3*x+7)*Tw(1,1,1,0,0,0 )+(-4*x^2-7*x+1)*Tw(1,1,1,0,0,1)+(6*x^2-7*x-8)*Tw(1,1,1,0,1,0)+(4*x^2+5*x-1)*Tw (1,1,1,0,1,1)+(3*x^2-9*x+5)*Tw(1,1,1,1,0,0)+(-7*x^2+9*x-8)*Tw(1,1,1,1,0,1)+(x^2 +5*x+3)*Tw(1,1,1,1,1,0)+(-5*x^2+5*x+7)*Tw(1,1,1,1,1,1)+(-6-3*x)*Tw(1,1,0,1,0,0) +(-5*x^2+3*x-7)*Tw(1,1,0,1,0,1)+(2*x^2-3*x+6)*Tw(1,1,0,1,1,0)+(7*x^2-4*x-2)*Tw( 1,1,0,1,1,1)+(-6*x^2+6*x-9)*Tw(1,0,1,0,1,0)+(7*x^2-7*x-4)*Tw(1,0,1,0,1,1)+(-8*x ^2+7*x-6)*Tw(1,0,1,1,0,0)+(-4-4*x)*Tw(1,0,1,1,0,1)+(4*x^2-5*x+2)*Tw(1,0,1,1,1,0 )+(-8*x^2+7*x+1)*Tw(1,0,1,1,1,1)+(-4*x^2-9*x+3)*Tw(1,1,0,0,0,0)+(6*x^2+x+5)*Tw( 1,1,0,0,0,1)+(5*x^2+9*x-3)*Tw(1,1,0,0,1,0)+(2*x^2+4*x-4)*Tw(1,1,0,0,1,1)+(-2*x^ 2+8*x+8)*Tw(1,0,0,0,0,1)+(7*x^2+9*x-7)*Tw(1,0,0,0,1,0)+(-8*x^2-2*x-1)*Tw(1,0,0, 0,1,1)+(-9*x^2+6*x+2)*Tw(1,0,0,1,0,0)+(2*x^2-8*x+4)*Tw(1,0,0,1,0,1)+(6*x^2-5*x-\ 6)*Tw(1,0,0,1,1,0)+(7*x^2+2*x+4)*Tw(1,0,0,1,1,1)+(-4*x^2+4*x+5)*Tw(1,0,1,0,0,0) +(-4*x^2-3*x-2)*Tw(1,0,1,0,0,1)+(-4*x^2-x+4)*Tw(0,1,0,0,1,0)+(-8*x^2+9*x+2)*Tw( 0,1,0,0,1,1)+(3*x^2+4*x+9)*Tw(0,1,0,1,0,0)+(4*x^2+5*x-2)*Tw(0,1,0,1,0,1)+(5*x^2 +8*x+8)*Tw(0,1,0,1,1,0)+(7*x^2+x+9)*Tw(0,1,0,1,1,1)+(4*x^2-4*x-7)*Tw(0,1,1,0,0, 0)+(5*x^2-9*x-5)*Tw(0,1,1,0,0,1)+(-5*x^2-7*x+7)*Tw(0,1,1,0,1,0)+(-3*x^2-4*x+2)* Tw(0,1,1,1,0,0)+(-7*x^2-9*x+9)*Tw(0,1,1,1,0,1)+(-x^2+9*x+2)*Tw(0,1,1,1,1,0)+(4* x^2+x-6)*Tw(0,1,1,1,1,1)+(-5*x^2+2*x+1)*Tw(1,0,0,0,0,0)+(4*x^2-4*x-3)*Tw(0,0,1, 0,0,0)+(9*x^2-9*x+2)*Tw(0,0,1,0,0,1)+(-x^2-8*x+1)*Tw(0,0,1,0,1,0)+(x^2+6*x+8)* Tw(0,0,1,0,1,1)+(-7*x^2+5*x-5)*Tw(0,0,1,1,0,0)+(-x^2-7*x+8)*Tw(0,0,1,1,0,1)+(-4 *x^2-9*x+1)*Tw(0,0,1,1,1,0)+(-3*x^2-x-8)*Tw(0,0,1,1,1,1)+(x^2-3*x-6)*Tw(0,1,0,0 ,0,0)+(x^2+9*x-2)*Tw(0,1,0,0,0,1)+(5*x^2+3*x-7)*Tw(0,0,0,0,0,0)+2*x^2*Tw(0,1,1, 0,1,1), (7*x^2+2*x+8)*Tw(1,1,1,1,1,0)+(9*x^2+2*x-6)*Tw(1,1,1,1,1,1)+(3*x^2-3*x+ 2)*Tw(1,0,1,1,1,0)+(3*x^2+6*x)*Tw(1,0,1,1,1,1)+(-9*x^2-5*x+5)*Tw(1,1,0,0,0,0)+( -5*x^2-6*x-8)*Tw(1,1,0,0,0,1)+(9*x^2-5*x-2)*Tw(1,1,0,0,1,0)+(-x^2+8*x+5)*Tw(1,1 ,0,0,1,1)+(-x^2+3*x)*Tw(1,1,0,1,0,0)+(5*x^2-8*x-3)*Tw(1,1,0,1,0,1)+(-6-7*x)*Tw( 1,1,0,1,1,0)+(x^2-6*x+6)*Tw(1,1,0,1,1,1)+(-7*x^2+8*x-8)*Tw(1,1,1,0,0,0)+(-6*x^2 +4*x-6)*Tw(1,1,1,0,0,1)+(7*x^2+6*x+3)*Tw(1,1,1,0,1,0)+(-5-4*x)*Tw(1,1,1,0,1,1)+ (-6*x^2-7*x+9)*Tw(1,1,1,1,0,0)+(x^2+9*x-7)*Tw(1,1,1,1,0,1)+(9*x^2-6*x-7)*Tw(0,1 ,1,1,1,1)+(x^2+5*x-7)*Tw(1,0,0,0,0,0)+(2*x^2+9*x-6)*Tw(1,0,0,0,0,1)+(3*x^2+x+2) *Tw(1,0,0,0,1,0)+(-8*x^2+5*x+2)*Tw(1,0,0,0,1,1)+(3*x^2+5*x-9)*Tw(1,0,0,1,0,0)+( -2*x^2+2*x+1)*Tw(1,0,0,1,0,1)+(-7*x^2-6)*Tw(1,0,0,1,1,0)+(-8*x^2-8*x-5)*Tw(1,0, 0,1,1,1)+(6*x^2-2*x+7)*Tw(1,0,1,0,0,0)+(-5*x^2+3*x)*Tw(1,0,1,0,0,1)+(-7*x^2+7*x +6)*Tw(1,0,1,0,1,0)+(7*x^2+5*x-3)*Tw(1,0,1,0,1,1)+(-7*x^2-7*x-8)*Tw(1,0,1,1,0,0 )+(5*x^2-x+3)*Tw(1,0,1,1,0,1)+(8*x^2+6*x+2)*Tw(0,1,1,0,0,0)+(x^2-6*x-4)*Tw(0,1, 1,0,0,1)+(2*x^2+6*x)*Tw(0,1,1,0,1,0)+(7*x^2-4*x-2)*Tw(0,1,1,0,1,1)+(-5*x^2+1)* Tw(0,1,1,1,0,0)+(-6*x^2+6*x-8)*Tw(0,1,1,1,0,1)+(-6*x^2-3*x-2)*Tw(0,1,1,1,1,0)+( -7*x^2-3*x-8)*Tw(0,1,0,0,1,1)+(-2*x^2-7*x-4)*Tw(0,1,0,1,0,1)+(-9*x^2+3*x+8)*Tw( 0,1,0,1,1,1)+(-6*x^2+9*x+4)*Tw(0,0,0,1,0,0)+(x^2-8*x)*Tw(0,0,0,1,0,1)+(-x^2+9*x +4)*Tw(0,0,0,1,1,0)+(4*x^2+4*x+8)*Tw(0,0,0,1,1,1)+(8*x^2-3*x+1)*Tw(0,0,1,0,0,0) +(8*x^2+3*x+6)*Tw(0,0,1,0,0,1)+(5*x^2+8*x-7)*Tw(0,0,1,0,1,0)+(-4+8*x)*Tw(0,0,1, 0,1,1)+(-5*x^2-6*x-9)*Tw(0,0,1,1,0,0)+(-7*x^2+4*x-5)*Tw(0,0,1,1,0,1)+(8+6*x)*Tw (0,0,1,1,1,0)+(9*x^2-7*x-6)*Tw(0,0,1,1,1,1)+(-3*x^2+x)*Tw(0,1,0,0,0,0)+(5*x^2-2 *x+2)*Tw(0,1,0,0,0,1)+(-4*x^2-5*x-2)*Tw(0,1,0,0,1,0)+(2*x^2-x-9)*Tw(0,0,0,0,0,0 )+(-x^2+x+8)*Tw(0,0,0,0,0,1)+(-4*x^2+4*x-4)*Tw(0,0,0,0,1,0)+(-2*x^2-8*x-8)*Tw(0 ,0,0,0,1,1)+7*x^2*Tw(0,1,0,1,0,0)+4*x^2*Tw(0,1,0,1,1,0), (9-5*x)*Tw(1,1,1,1,1,0 )+(3*x^2-3*x+4)*Tw(1,1,1,1,1,1)+(-8*x^2-7*x+7)*Tw(1,1,0,0,1,1)+(-x^2-9*x-9)*Tw( 1,1,0,1,0,0)+(x^2+7*x-9)*Tw(1,1,0,1,0,1)+(5*x^2-x-1)*Tw(1,1,0,1,1,0)+(-2*x^2+9* x+5)*Tw(1,1,0,1,1,1)+(5*x^2+6*x-5)*Tw(1,1,1,0,0,0)+(4*x^2+5*x+8)*Tw(1,1,1,0,0,1 )+(5*x^2-6*x+2)*Tw(1,1,1,0,1,0)+(4*x^2-7*x-9)*Tw(1,1,1,0,1,1)+(7*x^2+8*x+3)*Tw( 1,1,1,1,0,0)+(7*x^2+9*x+2)*Tw(1,1,1,1,0,1)+(-3*x^2-2*x+8)*Tw(1,0,0,1,0,0)+(9*x^ 2+7*x+8)*Tw(1,0,0,1,0,1)+(9*x^2+3*x+7)*Tw(1,0,0,1,1,0)+(4*x^2-2*x+3)*Tw(1,0,0,1 ,1,1)+(9*x^2+6)*Tw(1,0,1,0,0,0)+(9*x^2+7*x-9)*Tw(1,0,1,0,0,1)+(5*x^2-7*x-8)*Tw( 1,0,1,0,1,0)+(-9*x^2-9*x-9)*Tw(1,0,1,0,1,1)+(4*x^2-x-9)*Tw(1,0,1,1,0,0)+(-4*x^2 +7*x+3)*Tw(1,0,1,1,0,1)+(4*x^2+4*x+9)*Tw(1,0,1,1,1,0)+(2*x^2-x+1)*Tw(1,0,1,1,1, 1)+(3*x^2+7*x-5)*Tw(1,1,0,0,0,0)+(-4*x^2-7*x-9)*Tw(1,1,0,0,0,1)+(-6*x^2-8*x+8)* Tw(1,1,0,0,1,0)+(-7*x^2+9*x-8)*Tw(0,1,1,0,0,1)+(-x^2-2)*Tw(0,1,1,0,1,0)+(-5*x^2 -7*x+1)*Tw(0,1,1,0,1,1)+(2*x^2+8*x+2)*Tw(0,1,1,1,0,0)+(5-5*x)*Tw(0,1,1,1,0,1)+( -5*x^2+6*x-5)*Tw(0,1,1,1,1,0)+(-5*x^2+5*x-1)*Tw(0,1,1,1,1,1)+(-5*x^2-8*x-6)*Tw( 1,0,0,0,0,0)+(8-3*x)*Tw(1,0,0,0,0,1)+(-x^2-8*x)*Tw(1,0,0,0,1,0)+(8*x^2+9*x-9)* Tw(1,0,0,0,1,1)+(-9*x^2-5*x+8)*Tw(0,1,0,0,1,1)+(8*x^2+2*x+5)*Tw(0,1,0,1,0,0)+(-\ 6*x^2-4*x+2)*Tw(0,1,0,1,0,1)+(-2*x^2-4)*Tw(0,1,0,1,1,0)+(-7*x^2-7*x+2)*Tw(0,1,0 ,1,1,1)+(-4*x^2+8*x+8)*Tw(0,1,1,0,0,0)+(-6*x^2-5*x+3)*Tw(0,1,0,0,1,0)+(6*x^2+2* x+3)*Tw(0,0,1,1,1,1)+(-2*x^2-5*x-8)*Tw(0,1,0,0,0,0)+(-8*x^2+9*x+4)*Tw(0,1,0,0,0 ,1)+(-8*x^2+3*x-6)*Tw(0,0,0,1,1,0)+(6*x^2+6*x+6)*Tw(0,0,0,1,1,1)+(x^2+4*x-2)*Tw (0,0,1,0,0,0)+(-9*x^2-x-3)*Tw(0,0,1,0,0,1)+(3*x^2-4*x-2)*Tw(0,0,1,0,1,0)+(7*x^2 -9)*Tw(0,0,1,0,1,1)+(3*x^2+5*x+3)*Tw(0,0,1,1,0,0)+(-x^2+9*x+9)*Tw(0,0,1,1,0,1)+ (7*x^2-5*x)*Tw(0,0,1,1,1,0)+(8*x^2-2*x-9)*Tw(0,0,0,1,0,1)+(x^2-5*x+2)*Tw(0,0,0, 1,0,0)+(-8*x^2-4*x+6)*Tw(0,0,0,0,0,0)+(-3*x^2-8*x)*Tw(0,0,0,0,0,1)+(-6*x^2+2*x-\ 6)*Tw(0,0,0,0,1,0)+(7*x^2+5*x+3)*Tw(0,0,0,0,1,1), (9-x)*Tw(0,1,1,0,1,0)+(-2*x^2 +3*x-6)*Tw(0,1,1,0,1,1)+(2*x^2+8)*Tw(0,1,1,1,0,0)+(4*x^2+2*x+9)*Tw(0,1,1,1,0,1) +(x^2+x-6)*Tw(0,1,1,1,1,0)+(-9*x^2+2*x-2)*Tw(0,1,1,1,1,1)+(-x^2+x-1)*Tw(1,0,0,0 ,0,0)+(8*x^2-7*x+1)*Tw(1,0,0,0,0,1)+(x^2+3*x+6)*Tw(1,0,0,0,1,0)+(-x^2-8)*Tw(0,0 ,1,0,0,1)+(-9*x^2+x+3)*Tw(0,0,1,0,1,0)+(-6*x^2+2*x+7)*Tw(0,0,1,0,1,1)+(-2*x^2-x -2)*Tw(0,0,1,1,0,0)+(7*x^2-9)*Tw(0,0,1,1,0,1)+(5+6*x)*Tw(0,0,1,1,1,0)+(-8*x^2-7 *x)*Tw(0,0,1,1,1,1)+(x^2-4*x+1)*Tw(0,1,0,0,0,0)+(-x^2-5*x-2)*Tw(0,1,0,0,0,1)+(4 *x^2+2*x-8)*Tw(0,1,0,0,1,0)+(-8*x^2+6)*Tw(0,1,0,0,1,1)+(7*x^2+6*x-6)*Tw(0,0,0,0 ,0,0)+(-6*x^2-x)*Tw(0,0,0,0,0,1)+(8*x^2-6*x-8)*Tw(0,0,0,0,1,0)+(4*x^2-8*x+4)*Tw (0,0,0,0,1,1)+(x^2+1)*Tw(0,0,0,1,0,0)+(7*x^2+3*x+7)*Tw(0,0,0,1,0,1)+(-4*x^2-3*x -2)*Tw(0,0,0,1,1,0)+(-5*x^2+8*x+3)*Tw(0,0,0,1,1,1)+(-5*x^2-x+1)*Tw(1,1,0,0,0,1) +(8*x^2-5*x-2)*Tw(1,1,0,0,1,0)+(-4*x^2+x-4)*Tw(1,1,0,0,1,1)+(3*x^2+1)*Tw(1,1,0, 1,0,0)+(-6*x^2-5*x-5)*Tw(1,1,0,1,0,1)+(-2*x^2+3*x+5)*Tw(1,1,0,1,1,0)+(-3*x^2-9* x-6)*Tw(1,1,0,1,1,1)+(-6*x^2+6*x-3)*Tw(1,1,1,0,0,0)+(4*x^2+2*x+5)*Tw(1,1,1,0,0, 1)+(-4*x^2+6*x-4)*Tw(1,1,1,0,1,0)+(8*x^2-8*x-3)*Tw(1,1,1,0,1,1)+(6*x^2+9*x)*Tw( 1,1,1,1,0,0)+(-8*x^2-6*x+2)*Tw(1,1,1,1,0,1)+(-8*x^2-3*x+5)*Tw(1,1,1,1,1,0)+(8*x ^2-2*x+1)*Tw(1,1,1,1,1,1)+(8*x^2+5*x-7)*Tw(1,0,0,0,1,1)+(8*x^2-5*x+9)*Tw(1,0,0, 1,0,0)+(6*x^2-8*x-1)*Tw(1,0,0,1,0,1)+(-6*x^2-5*x-2)*Tw(1,0,0,1,1,0)+(8*x^2+8*x+ 9)*Tw(1,0,0,1,1,1)+(5+9*x)*Tw(1,0,1,0,0,0)+(-9*x^2+4*x+9)*Tw(1,0,1,0,0,1)+(6-5* x)*Tw(1,0,1,0,1,0)+(-4*x^2+4)*Tw(1,0,1,0,1,1)+(-2*x^2+2*x-3)*Tw(1,0,1,1,0,0)+(-\ 4*x^2+6*x-2)*Tw(1,0,1,1,0,1)+(9*x^2+8*x+6)*Tw(1,0,1,1,1,0)+(4*x^2-2*x+8)*Tw(1,0 ,1,1,1,1)+(3*x^2+3*x-6)*Tw(1,1,0,0,0,0)+(8*x^2+9*x-1)*Tw(0,1,0,1,0,0)+(-3*x^2-6 *x-4)*Tw(0,1,0,1,0,1)+(4-4*x)*Tw(0,1,0,1,1,0)+(-3*x^2+7*x+8)*Tw(0,1,0,1,1,1)+(4 *x^2-3*x-8)*Tw(0,1,1,0,0,0)+(2*x^2+5*x-6)*Tw(0,1,1,0,0,1)-5*x*Tw(0,0,1,0,0,0), (-4*x^2+7*x+1)*Tw(1,1,1,1,1,0)+(-3*x^2+2*x+4)*Tw(1,1,1,1,1,1)+(4*x^2+4)*Tw(1,1, 0,0,1,1)+(5*x^2-2*x-7)*Tw(1,1,0,1,0,0)+(-8*x^2-2*x-9)*Tw(1,1,0,1,0,1)+(-7*x^2-2 *x-3)*Tw(1,1,0,1,1,0)+(-2*x^2+7*x-1)*Tw(1,1,0,1,1,1)+(7+9*x)*Tw(1,1,1,0,0,0)+(3 *x^2-x+8)*Tw(1,1,1,0,0,1)+(2*x^2-2*x-4)*Tw(1,1,1,0,1,0)+(-9-3*x)*Tw(1,1,1,0,1,1 )+(-7*x^2+3*x-1)*Tw(1,1,1,1,0,0)+(2*x^2-2*x-9)*Tw(1,1,1,1,0,1)+(3*x^2+6)*Tw(1,0 ,0,1,1,1)+(3*x^2-x-3)*Tw(1,0,1,0,0,0)+(2*x^2-9*x+6)*Tw(1,0,1,0,0,1)+(x^2-6*x-4) *Tw(1,0,1,0,1,0)+(-6*x^2-x+8)*Tw(1,0,1,0,1,1)+(8*x^2-7*x-8)*Tw(1,0,1,1,0,0)+(-8 *x^2-9*x-1)*Tw(1,0,1,1,0,1)+(-2*x^2+9*x-9)*Tw(1,0,1,1,1,0)+(-7*x^2+2*x-1)*Tw(1, 0,1,1,1,1)+(8*x^2-3*x)*Tw(1,1,0,0,0,0)+(-6*x^2+3*x-4)*Tw(1,1,0,0,0,1)+(6*x^2-x-\ 8)*Tw(1,1,0,0,1,0)+(2*x^2+2*x+9)*Tw(0,1,1,0,1,1)+(9*x^2+7*x-3)*Tw(0,1,1,1,0,0)+ (-5*x^2+5*x+2)*Tw(0,1,1,1,0,1)+(9*x^2+5*x+8)*Tw(0,1,1,1,1,0)+(8*x^2-5*x-9)*Tw(0 ,1,1,1,1,1)+(-x^2-4*x-4)*Tw(1,0,0,0,0,0)+(-4*x^2+3*x+3)*Tw(1,0,0,0,0,1)+(4*x^2+ 2*x+1)*Tw(1,0,0,0,1,0)+(4*x^2-2)*Tw(1,0,0,0,1,1)+(8*x^2+3*x+4)*Tw(1,0,0,1,0,0)+ (8*x^2-7*x-4)*Tw(1,0,0,1,0,1)+(-1-5*x)*Tw(1,0,0,1,1,0)+(9*x^2-9*x-1)*Tw(0,0,1,1 ,1,1)+(-6*x^2-2)*Tw(0,1,0,0,0,0)+(7*x^2-7*x+2)*Tw(0,1,0,0,0,1)+(-6*x^2-8*x-1)* Tw(0,1,0,0,1,0)+(-6*x^2+2*x-3)*Tw(0,1,0,0,1,1)+(5*x^2+x-5)*Tw(0,1,0,1,0,0)+(3*x ^2-3*x+6)*Tw(0,1,0,1,0,1)+(-x^2-5*x-4)*Tw(0,1,0,1,1,0)+(-8*x^2+7*x+7)*Tw(0,1,0, 1,1,1)+(-x^2-5*x+3)*Tw(0,1,1,0,0,0)+(-2*x^2+3*x+4)*Tw(0,1,1,0,0,1)+(-9*x^2-9*x+ 9)*Tw(0,1,1,0,1,0)+(-7*x^2+x+2)*Tw(0,0,0,0,0,0)+(6*x^2+4*x+5)*Tw(0,0,0,0,0,1)+( -9*x^2-7*x-7)*Tw(0,0,0,0,1,0)+(-4*x^2-2*x)*Tw(0,0,0,0,1,1)+(6*x^2+5*x-3)*Tw(0,0 ,0,1,0,0)+(-x^2+5)*Tw(0,0,0,1,0,1)+(9*x^2-5*x+3)*Tw(0,0,0,1,1,0)+(-5*x^2-2*x-2) *Tw(0,0,0,1,1,1)+(-6*x^2+8*x-4)*Tw(0,0,1,0,0,0)+(3*x^2-x+8)*Tw(0,0,1,0,0,1)+(-9 *x^2+4*x+8)*Tw(0,0,1,0,1,0)+(-8*x^2-4*x-9)*Tw(0,0,1,0,1,1)+(-3*x^2-2*x-6)*Tw(0, 0,1,1,0,0)+(-9*x^2+2*x+6)*Tw(0,0,1,1,0,1)+(4*x^2-2*x+9)*Tw(0,0,1,1,1,0)] # Output Gröbner basis: [Tw(1,1,0,1,1,1)+(27632*x^10-11419*x^9-175065*x^8+60460*x^7+397280*x^6-288896*x ^5-96950*x^4+124103*x^3+66602*x^2+56046*x-10270)/(79114*x^10-81769*x^9-10914*x^ 8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)* Tw(0,0,0,0,0,0)-(58049*x^10-14446*x^9+41618*x^8+102223*x^7-140697*x^6-117351*x^ 5+51344*x^4+137820*x^3+27432*x^2-33566*x-45566)/(79114*x^10-81769*x^9-10914*x^8 +253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw (1,0,0,0,0,0)+(33186*x^10-64662*x^9-157229*x^8+157391*x^7+27510*x^6+3611*x^5+ 23277*x^4-108319*x^3-56506*x^2+47726*x+52408)/(79114*x^10-81769*x^9-10914*x^8+ 253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw( 0,1,0,0,0,0)-(126618*x^10-156424*x^9-70953*x^8+155998*x^7+169251*x^6-204078*x^5 -181728*x^4-38504*x^3+21761*x^2+55740*x-8659)/(79114*x^10-81769*x^9-10914*x^8+ 253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw( 1,1,0,0,0,0)+(119102*x^10-210329*x^9+16088*x^8+261125*x^7-220583*x^6-74936*x^5+ 89627*x^4-8460*x^3-82445*x^2+14721*x-232)/(79114*x^10-81769*x^9-10914*x^8+ 253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw( 0,0,1,0,0,0)+(19167*x^10-61177*x^9+371041*x^8-388059*x^7-104069*x^6+221024*x^5-\ 9105*x^4+75952*x^3+1629*x^2+719*x-66825)/(79114*x^10-81769*x^9-10914*x^8+253205 *x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(1,0,1, 0,0,0)+(26069*x^10+90276*x^9-328624*x^8+211718*x^7+238259*x^6-344323*x^5-73429* x^4+116127*x^3+16157*x^2-87823*x-55103)/(79114*x^10-81769*x^9-10914*x^8+253205* x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(0,1,1,0 ,0,0)-(24097*x^10+105539*x^9-264087*x^8+25176*x^7+278690*x^6+13924*x^5-159786*x ^4-75310*x^3+41323*x^2+45843*x-69992)/(79114*x^10-81769*x^9-10914*x^8+253205*x^ 7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(1,1,1,0,0 ,0)-(11547*x^10-139922*x^9-33354*x^8+247223*x^7-82807*x^6-68676*x^5+51086*x^4+ 98703*x^3+7859*x^2-337*x+37443)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7-\ 76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(0,0,0,1,0,0 )-(188373*x^10-248949*x^9+159284*x^8+1040*x^7-20938*x^6+126500*x^5-17859*x^4-\ 57361*x^3-184610*x^2-14309*x+3790)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7-\ 76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(1,0,0,1,0,0 )+(23170*x^10+54977*x^9+212936*x^8-327418*x^7-88969*x^6+200544*x^5+107563*x^4+ 49300*x^3-30876*x^2-23363*x-56862)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7-\ 76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(0,1,0,1,0,0 )-(66127*x^10-55356*x^9+103817*x^8+149496*x^7-30515*x^6-174848*x^5-61050*x^4+ 158091*x^3+46551*x^2-72041*x-43136)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7-\ 76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(1,1,0,1,0,0 )-(21308*x^10-42077*x^9-125556*x^8+115942*x^7-151494*x^6+541*x^5-82596*x^4-\ 97796*x^3+4135*x^2+535*x+11931)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7-\ 76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(0,0,1,1,0,0 )-(125575*x^10-192138*x^9-93503*x^8+386997*x^7-121283*x^6-283098*x^5-133460*x^4 +53842*x^3+75623*x^2-31102*x-58007)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7-\ 76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(1,0,1,1,0,0 )-(115724*x^10-121728*x^9-87386*x^8+9865*x^7+339878*x^6-37503*x^5-210139*x^4-\ 91690*x^3-103708*x^2+18220*x+16645)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7-\ 76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(0,1,1,1,0,0 )+(85773*x^10-121863*x^9+242380*x^8-12557*x^7-231874*x^6+104507*x^5+163858*x^4+ 162502*x^3-2031*x^2-28811*x-52918)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7-\ 76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(1,1,1,1,0,0 )-(83605*x^10-184152*x^9+298924*x^8-39283*x^7-335612*x^6+11018*x^5-49334*x^4+ 57650*x^3+88977*x^2+41767*x-22979)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7-\ 76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(0,0,0,0,1,0 )+(23142*x^10+33702*x^9-98025*x^8-100991*x^7+130703*x^6-66986*x^5-103499*x^4-\ 23422*x^3+30798*x^2+80812*x+10203)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7-\ 76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(1,0,0,0,1,0 )-(50818*x^10-48927*x^9+1615*x^8+122815*x^7-335098*x^6-78653*x^5+122891*x^4+ 9714*x^3-24443*x^2-3862*x+30680)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7-\ 76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(0,1,0,0,1,0 )-(53109*x^10-169570*x^9+148458*x^8+180775*x^7-334735*x^6+11405*x^5+128881*x^4+ 62223*x^3-45621*x^2-65875*x+73390)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7-\ 76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(1,1,0,0,1,0 )+(144563*x^10-380469*x^9+106620*x^8+295465*x^7-195558*x^6-144553*x^5-32448*x^4 -18709*x^3-17365*x^2+26530*x+62446)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7-\ 76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(0,0,1,0,1,0 )-(49966*x^10-143931*x^9+125029*x^8+206702*x^7-155948*x^6-152785*x^5+5094*x^4+ 147640*x^3+74972*x^2-28463*x-37250)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7-\ 76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(1,0,1,0,1,0 )+(36653*x^10-70398*x^9-184784*x^8+385534*x^7-149973*x^6-18431*x^5-45298*x^4-\ 36123*x^3+69632*x^2-54402*x+48891)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7-\ 76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(0,1,1,0,1,0 )+(105943*x^10-199123*x^9+109593*x^8-185001*x^7+93979*x^6-11545*x^5-54252*x^4-\ 16693*x^3-61806*x^2+44087*x-34418)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7-\ 76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(1,1,1,0,1,0 )-(175234*x^10-220682*x^9+274335*x^8-334*x^7-99002*x^6+112134*x^5+63987*x^4+ 28249*x^3-14428*x^2+53978*x-40821)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7-\ 76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(0,0,0,1,1,0 )+(110729*x^10-36723*x^9-3560*x^8+90307*x^7+104623*x^6-124416*x^5+54572*x^4+ 47797*x^3+13190*x^2-18059*x-30660)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7-\ 76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(1,0,0,1,1,0 )+(51007*x^10+91484*x^9-136278*x^8+106194*x^7-36277*x^6+144945*x^5-39232*x^4-\ 158962*x^3-46323*x^2-38173*x+13496)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7-\ 76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(0,1,0,1,1,0 )+(118653*x^10-192257*x^9+181428*x^8+106172*x^7-185870*x^6+165011*x^5+83557*x^4 -22181*x^3-2730*x^2+28817*x+16948)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7-\ 76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(1,1,0,1,1,0 )-(22740*x^10+84191*x^9-104173*x^8+113752*x^7+168281*x^6-70776*x^5+11082*x^4-\ 24788*x^3-43465*x^2-11818*x-11221)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7-\ 76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(0,0,1,1,1,0 )+(48678*x^10-102976*x^9+229479*x^8-77220*x^7-213835*x^6+32428*x^5+176277*x^4+ 158055*x^3+76518*x^2+35290*x-87878)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7-\ 76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(1,0,1,1,1,0 )-(143622*x^10-255295*x^9+90205*x^8+64384*x^7-6375*x^6+70963*x^5-29026*x^4-\ 58562*x^3+1471*x^2+41022*x-55257)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7-\ 76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(0,1,1,1,1,0 )+(100783*x^10-233549*x^9+245925*x^8-35675*x^7-4322*x^6-80866*x^5-235431*x^4-\ 10598*x^3+20788*x^2+31822*x-75548)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7-\ 76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(1,1,1,1,1,0 )+(25811*x^10-104768*x^9-61806*x^8+31101*x^7+41846*x^6-153978*x^5-148711*x^4-\ 37243*x^3+34032*x^2+76054*x-1049)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7-\ 76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(0,0,0,0,0,1 )-(9274*x^10-117261*x^9+129895*x^8-50339*x^7-163609*x^6+119193*x^5+57278*x^4+ 27303*x^3-37771*x^2+27957*x+30503)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7-\ 76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(1,0,0,0,0,1 )-(83449*x^10-290729*x^9+292025*x^8-93252*x^7-184043*x^6+168107*x^5+123973*x^4-\ 50506*x^3-52613*x^2+91624*x+27298)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7-\ 76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(0,1,0,0,0,1 )+(80836*x^10-158044*x^9+62504*x^8+147525*x^7-85326*x^6+144943*x^5+10654*x^4-\ 168986*x^3-47872*x^2+73088*x+68253)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7-\ 76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(1,1,0,0,0,1 )+(21896*x^10-55558*x^9-235844*x^8+250636*x^7-29986*x^6-144127*x^5-138594*x^4-\ 63941*x^3-15967*x^2-32767*x+15987)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7-\ 76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(0,0,1,0,0,1 )+(29140*x^10-5001*x^9-4531*x^8+120650*x^7-285349*x^6+91278*x^5+126233*x^4+ 18346*x^3-14740*x^2-60492*x+92261)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7-\ 76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(1,0,1,0,0,1 )+(8569*x^10-55630*x^9-184694*x^8+353619*x^7-169432*x^6-171064*x^5+142584*x^4+ 104638*x^3-12692*x^2-15064*x+73250)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7-\ 76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(0,1,1,0,0,1 )-(70785*x^10-99551*x^9+58544*x^8-114695*x^7+86398*x^6+160060*x^5-117278*x^4-\ 175154*x^3-166829*x^2+35131*x+4364)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7-\ 76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(1,1,1,0,0,1 )+(59407*x^10-3556*x^9-88071*x^8+71034*x^7-181112*x^6+106746*x^5+146896*x^4-\ 2461*x^3-52113*x^2+56834*x+87852)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7-\ 76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(0,0,0,1,0,1 )-(26576*x^10-211826*x^9+103880*x^8-4631*x^7+72902*x^6-72996*x^5-161515*x^4-\ 1432*x^3-31301*x^2+90272*x+73022)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7-\ 76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(1,0,0,1,0,1 )-(25598*x^10-90574*x^9+168031*x^8-95655*x^7-234863*x^6+129637*x^5+160429*x^4+ 31149*x^3-49160*x^2-23765*x-13608)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7-\ 76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(0,1,0,1,0,1 )+(76607*x^10-128199*x^9+60941*x^8+88215*x^7-26864*x^6+80001*x^5+80995*x^4-\ 43397*x^3-183520*x^2-15438*x+38312)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7-\ 76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(1,1,0,1,0,1 )+(10031*x^10+32080*x^9-50476*x^8+203244*x^7+86011*x^6-221130*x^5+63221*x^4+ 164247*x^3+51579*x^2-98000*x-43697)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7-\ 76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(0,0,1,1,0,1 )+(77423*x^10-100116*x^9-39539*x^8+136790*x^7+118759*x^6-115782*x^5-93175*x^4+ 113398*x^3+12492*x^2-56786*x-31704)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7-\ 76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(1,0,1,1,0,1 )-(52335*x^10+98970*x^9-124361*x^8-102082*x^7+179221*x^6-13561*x^5-85746*x^4-\ 31720*x^3-158518*x^2-38936*x-1941)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7-\ 76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(0,1,1,1,0,1 )+(6967*x^10+91533*x^9+37456*x^8-107452*x^7+79854*x^6-70061*x^5+87501*x^4+26600 *x^3-68216*x^2-64610*x-13275)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7-76485* x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(1,1,1,1,0,1)+( 14704*x^10+19304*x^9+49797*x^8+194418*x^7-207502*x^6+117036*x^5+168259*x^4+7422 *x^3+28222*x^2-33980*x+2287)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7-76485*x ^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(0,0,0,0,1,1)-( 110708*x^10-206234*x^9-26294*x^8+266974*x^7+95245*x^6-169591*x^5-285698*x^4-\ 54498*x^3+128741*x^2+76047*x-39155)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7-\ 76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(1,0,0,0,1,1 )-(62827*x^10+41532*x^9-199748*x^8+79466*x^7-235556*x^6+66268*x^5+187756*x^4-\ 46860*x^3-152959*x^2-58889*x+32955)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7-\ 76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(0,1,0,0,1,1 )-(56419*x^10-63449*x^9+69546*x^8+170594*x^7-371606*x^6+205402*x^5+282650*x^4-\ 8494*x^3-70978*x^2-15909*x+50859)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7-\ 76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(1,1,0,0,1,1 )+2*(74508*x^10-55171*x^9+62171*x^8-489*x^7-82032*x^6+136966*x^5+41474*x^4-\ 88837*x^3-69437*x^2-17099*x+23227)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7-\ 76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(0,0,1,0,1,1 )+(92833*x^10-221388*x^9-304009*x^8+462990*x^7-62491*x^6-175679*x^5-127975*x^4-\ 128741*x^3+14429*x^2+61714*x+102201)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7 -76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(1,0,1,0,1, 1)-(1091*x^10+115174*x^9-21593*x^8+6907*x^7-98408*x^6+106440*x^5+168881*x^4-\ 10314*x^3-17218*x^2-52178*x-19936)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7-\ 76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(0,1,1,0,1,1 )+(25440*x^10+113441*x^9-165525*x^8-65207*x^7+90460*x^6+243242*x^5+119081*x^4-\ 223871*x^3-147742*x^2+46749*x+42544)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7 -76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(1,1,1,0,1, 1)+(192592*x^10-169989*x^9+96473*x^8+20309*x^7-4143*x^6-120945*x^5-41776*x^4+ 123226*x^3-18950*x^2-35583*x-62132)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7-\ 76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(0,0,0,1,1,1 )-(2477*x^10-108055*x^9+23278*x^8-18740*x^7+94592*x^6-38537*x^5-109987*x^4-\ 104066*x^3-149927*x^2-50699*x-22769)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7 -76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(1,0,0,1,1, 1)+(65106*x^10-149255*x^9+99368*x^8+107041*x^7-43169*x^6-59085*x^5-189260*x^4-\ 1329*x^3+112269*x^2+41630*x-10149)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7-\ 76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(0,1,0,1,1,1 ), Tw(0,0,1,1,1,1)-(82144*x^10-28142*x^9-86605*x^8+112622*x^7-114237*x^6+159723 *x^5-118617*x^4-45257*x^3-10562*x^2+41418*x+75354)/(79114*x^10-81769*x^9-10914* x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442) *Tw(0,0,0,0,0,0)-(38434*x^10-30371*x^9-58481*x^8-1700*x^7+41066*x^6+117417*x^5+ 165*x^4-87982*x^3-108694*x^2-46773*x-26636)/(79114*x^10-81769*x^9-10914*x^8+ 253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw( 1,0,0,0,0,0)-(20228*x^10+42442*x^9-6954*x^8-253980*x^7+102388*x^6+241481*x^5+ 24142*x^4-185214*x^3-123921*x^2+29021*x+8758)/(79114*x^10-81769*x^9-10914*x^8+ 253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw( 0,1,0,0,0,0)+(3056*x^10+201222*x^9-215141*x^8-76117*x^7+162775*x^6+206227*x^5-\ 205938*x^4-224640*x^3-79023*x^2+20314*x+44889)/(79114*x^10-81769*x^9-10914*x^8+ 253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw( 1,1,0,0,0,0)+(17226*x^10-118831*x^9+116849*x^8+114457*x^7-66186*x^6-82604*x^5-\ 34222*x^4+122438*x^3+25370*x^2-58237*x+8444)/(79114*x^10-81769*x^9-10914*x^8+ 253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw( 0,0,1,0,0,0)+(72938*x^10-135899*x^9+177303*x^8-358673*x^7+212641*x^6+220886*x^5 -40385*x^4-156126*x^3-207737*x^2+66889*x+39009)/(79114*x^10-81769*x^9-10914*x^8 +253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw (1,0,1,0,0,0)-(36864*x^10-98582*x^9+187103*x^8-211860*x^7-141920*x^6+97112*x^5+ 48783*x^4+71311*x^3-79601*x^2-21725*x+61453)/(79114*x^10-81769*x^9-10914*x^8+ 253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw( 0,1,1,0,0,0)+(50700*x^10-24080*x^9+177885*x^8-226188*x^7-46376*x^6+193296*x^5-\ 54868*x^4-47737*x^3-7967*x^2-104272*x+5686)/(79114*x^10-81769*x^9-10914*x^8+ 253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw( 1,1,1,0,0,0)+(3634*x^10+9305*x^9-159829*x^8-120229*x^7+227455*x^6+28145*x^5+ 41596*x^4-53419*x^3+22426*x^2+116135*x+52351)/(79114*x^10-81769*x^9-10914*x^8+ 253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw( 0,0,0,1,0,0)-(55924*x^10-306280*x^9+261775*x^8-71062*x^7+127523*x^6-128303*x^5-\ 261922*x^4+123179*x^3+125989*x^2+91603*x+52762)/(79114*x^10-81769*x^9-10914*x^8 +253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw (1,0,0,1,0,0)+(42210*x^10-46335*x^9-76405*x^8-269039*x^7+380628*x^6+194982*x^5-\ 145126*x^4-227531*x^3-131846*x^2+87188*x+67700)/(79114*x^10-81769*x^9-10914*x^8 +253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw (0,1,0,1,0,0)-(19688*x^10-44252*x^9+96476*x^8-187878*x^7-79023*x^6+198696*x^5+ 25211*x^4-102027*x^3-50017*x^2-18097*x-18164)/(79114*x^10-81769*x^9-10914*x^8+ 253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw( 1,1,0,1,0,0)+(22848*x^10+24498*x^9+9375*x^8-193570*x^7+188096*x^6-86570*x^5-\ 93445*x^4-114154*x^3-70833*x^2-11171*x-21673)/(79114*x^10-81769*x^9-10914*x^8+ 253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw( 0,0,1,1,0,0)+(27304*x^10+95468*x^9-179030*x^8-80271*x^7+305951*x^6-135374*x^5-\ 230960*x^4-54226*x^3+1710*x^2+47809*x+12031)/(79114*x^10-81769*x^9-10914*x^8+ 253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw( 1,0,1,1,0,0)+(2142*x^10+208701*x^9-198980*x^8-63806*x^7-33490*x^6+316062*x^5+ 94604*x^4-232809*x^3-210876*x^2-99976*x+15469)/(79114*x^10-81769*x^9-10914*x^8+ 253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw( 0,1,1,1,0,0)+(32840*x^10-84324*x^9+107046*x^8-265197*x^7+135479*x^6+262542*x^5-\ 130640*x^4-223727*x^3-189303*x^2-21164*x+45036)/(79114*x^10-81769*x^9-10914*x^8 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253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw( 1,1,0,0,1,0)+(59222*x^10-314617*x^9+484765*x^8+140268*x^7-438913*x^6-115554*x^5 +157447*x^4+261630*x^3+70274*x^2-152377*x-45844)/(79114*x^10-81769*x^9-10914*x^ 8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)* Tw(0,0,1,0,1,0)+(30394*x^10-4393*x^9-199254*x^8+266619*x^7+159960*x^6-290213*x^ 5-121468*x^4+104163*x^3+105714*x^2+68796*x-10416)/(79114*x^10-81769*x^9-10914*x ^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)* Tw(1,0,1,0,1,0)-(8500*x^10+49066*x^9-43468*x^8-349253*x^7+518840*x^6-95456*x^5-\ 55905*x^4-46910*x^3-93794*x^2+69983*x+8409)/(79114*x^10-81769*x^9-10914*x^8+ 253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw( 0,1,1,0,1,0)+(62346*x^10-264315*x^9+281743*x^8+3621*x^7+177736*x^6-229795*x^5+ 16393*x^4+105364*x^3-22688*x^2+20808*x-21796)/(79114*x^10-81769*x^9-10914*x^8+ 253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw( 1,1,1,0,1,0)-(55770*x^10-282659*x^9+255929*x^8-210998*x^7+16831*x^6-5883*x^5+ 11302*x^4-11331*x^3-116966*x^2-12883*x+38783)/(79114*x^10-81769*x^9-10914*x^8+ 253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw( 0,0,0,1,1,0)+(90630*x^10-189545*x^9+489*x^8+190004*x^7+27163*x^6-264394*x^5+ 2280*x^4-27409*x^3-18154*x^2-48408*x-55406)/(79114*x^10-81769*x^9-10914*x^8+ 253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw( 1,0,0,1,1,0)-(9530*x^10+25811*x^9+215248*x^8-183809*x^7+78951*x^6-23644*x^5+ 103408*x^4-28114*x^3-158934*x^2-106967*x-71528)/(79114*x^10-81769*x^9-10914*x^8 +253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw (0,1,0,1,1,0)+(48658*x^10-224231*x^9+216571*x^8-22117*x^7-208035*x^6+23863*x^5-\ 8580*x^4+17876*x^3-47893*x^2-50171*x+35508)/(79114*x^10-81769*x^9-10914*x^8+ 253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw( 1,1,0,1,1,0)+(52438*x^10-91231*x^9+159324*x^8+69288*x^7-133915*x^6+90934*x^5+ 87076*x^4+16521*x^3-103147*x^2-61589*x-28559)/(79114*x^10-81769*x^9-10914*x^8+ 253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw( 0,0,1,1,1,0)+(5502*x^10-25969*x^9+98079*x^8-303546*x^7+169384*x^6+238900*x^5+ 88916*x^4-235961*x^3-296538*x^2-61597*x+33588)/(79114*x^10-81769*x^9-10914*x^8+ 253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw( 1,0,1,1,1,0)-(49330*x^10-280697*x^9+308646*x^8+109462*x^7-128514*x^6-188594*x^5 +79008*x^4+56370*x^3-59494*x^2+206*x+13973)/(79114*x^10-81769*x^9-10914*x^8+ 253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw( 0,1,1,1,1,0)+(34166*x^10-218145*x^9+395665*x^8-236152*x^7-142015*x^6+35359*x^5+ 236141*x^4+126823*x^3-67323*x^2+39671*x+2702)/(79114*x^10-81769*x^9-10914*x^8+ 253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw( 1,1,1,1,1,0)+(1284*x^10-95486*x^9+154766*x^8+136734*x^7-142264*x^6-150241*x^5+ 243327*x^4+230693*x^3-911*x^2-51352*x-62383)/(79114*x^10-81769*x^9-10914*x^8+ 253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw( 0,0,0,0,0,1)-(27036*x^10-73270*x^9+150566*x^8-32895*x^7-34762*x^6+48721*x^5-\ 66960*x^4+49206*x^3-57307*x^2-44329*x-1927)/(79114*x^10-81769*x^9-10914*x^8+ 253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw( 1,0,0,0,0,1)-(56332*x^10-248172*x^9+389355*x^8-118342*x^7-52151*x^6-108197*x^5+ 38164*x^4+103920*x^3-82812*x^2-76890*x+24582)/(79114*x^10-81769*x^9-10914*x^8+ 253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw( 0,1,0,0,0,1)-(13594*x^10+147557*x^9-178199*x^8-9364*x^7+265719*x^6+100494*x^5-\ 43016*x^4-202449*x^3-116081*x^2+17982*x-52827)/(79114*x^10-81769*x^9-10914*x^8+ 253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw( 1,1,0,0,0,1)-(56434*x^10-28341*x^9-12120*x^8-218492*x^7+203640*x^6-30480*x^5-\ 50563*x^4-144823*x^3-156501*x^2-17023*x+899)/(79114*x^10-81769*x^9-10914*x^8+ 253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw( 0,0,1,0,0,1)+(95972*x^10-125302*x^9-67460*x^8+319571*x^7-233729*x^6+71779*x^5-\ 134469*x^4+13045*x^3+47869*x^2-102639*x-31067)/(79114*x^10-81769*x^9-10914*x^8+ 253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw( 1,0,1,0,0,1)-(58228*x^10-106552*x^9+50003*x^8-134242*x^7+125610*x^6-84539*x^5+ 72930*x^4-41420*x^3-60513*x^2+137601*x+32652)/(79114*x^10-81769*x^9-10914*x^8+ 253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw( 0,1,1,0,0,1)+(10376*x^10+120648*x^9-112236*x^8+82391*x^7-146786*x^6+157184*x^5+ 147400*x^4-201280*x^3-161366*x^2-153857*x-68344)/(79114*x^10-81769*x^9-10914*x^ 8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)* Tw(1,1,1,0,0,1)+(41864*x^10-109598*x^9-138847*x^8+296648*x^7-19464*x^6-91515*x^ 5-129001*x^4+141783*x^3+21744*x^2-95018*x-35768)/(79114*x^10-81769*x^9-10914*x^ 8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)* Tw(0,0,0,1,0,1)+(49274*x^10+99045*x^9-396689*x^8+252979*x^7+152966*x^6+7030*x^5 -114926*x^4-284639*x^3-76646*x^2+44696*x+28522)/(79114*x^10-81769*x^9-10914*x^8 +253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw (1,0,0,1,0,1)-(36458*x^10-53923*x^9+68879*x^8-102941*x^7+139676*x^6+135148*x^5-\ 116488*x^4-124408*x^3-84037*x^2-6721*x+49264)/(79114*x^10-81769*x^9-10914*x^8+ 253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw( 0,1,0,1,0,1)+(30312*x^10-96646*x^9+80441*x^8+31828*x^7+104777*x^6-199386*x^5-\ 299911*x^4+115448*x^3+135015*x^2+34150*x+22836)/(79114*x^10-81769*x^9-10914*x^8 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253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw( 1,1,1,1,0,1)+(37372*x^10+10344*x^9-110271*x^8+114426*x^7-185308*x^6+59414*x^5-\ 66150*x^4-126459*x^3-61251*x^2-53909*x+26703)/(79114*x^10-81769*x^9-10914*x^8+ 253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw( 0,0,0,0,1,1)+(24016*x^10+190196*x^9-331952*x^8-53161*x^7+493759*x^6+70909*x^5-\ 408014*x^4-225602*x^3+10605*x^2+38333*x+35401)/(79114*x^10-81769*x^9-10914*x^8+ 253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw( 1,0,0,0,1,1)-(53182*x^10-44323*x^9-307870*x^8+444709*x^7+222935*x^6-93147*x^5-\ 317778*x^4+23295*x^3+115671*x^2+13848*x+13039)/(79114*x^10-81769*x^9-10914*x^8+ 253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw( 0,1,0,0,1,1)-(49464*x^10-57764*x^9-90244*x^8+158058*x^7-71233*x^6+57555*x^5-\ 217619*x^4-54418*x^3-20263*x^2-74714*x+45015)/(79114*x^10-81769*x^9-10914*x^8+ 253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw( 1,1,0,0,1,1)+2*(38934*x^10-139739*x^9+25752*x^8+41711*x^7-9176*x^6-26167*x^5-\ 110067*x^4+25034*x^3+82506*x^2+39509*x+48221)/(79114*x^10-81769*x^9-10914*x^8+ 253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw( 0,0,1,0,1,1)-(46968*x^10+148188*x^9-208156*x^8-463018*x^7+558513*x^6+183842*x^5 -205677*x^4-393542*x^3-213068*x^2+125475*x+53123)/(79114*x^10-81769*x^9-10914*x ^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)* Tw(1,0,1,0,1,1)-(26350*x^10+49937*x^9-248326*x^8+89420*x^7+132490*x^6+33230*x^5 -145795*x^4-181622*x^3-21292*x^2+26025*x+44066)/(79114*x^10-81769*x^9-10914*x^8 +253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw (0,1,1,0,1,1)+(6464*x^10-23860*x^9-292816*x^8+301443*x^7+223887*x^6-362537*x^5-\ 241733*x^4+114001*x^3+167979*x^2+94877*x+52216)/(79114*x^10-81769*x^9-10914*x^8 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x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442) *Tw(1,0,0,0,1,1)+(180155*x^10-125147*x^9-268385*x^8+22030*x^7+375730*x^6-153519 *x^5-245973*x^4+303229*x^3+235891*x^2-64315*x-70992)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(0,1,0,0,1,1)+(4615*x^10+63586*x^9-135672*x^8-236607*x^7+280729*x^6-\ 200281*x^5-243159*x^4+272281*x^3+127026*x^2-81493*x+1408)/(79114*x^10-81769*x^9 -10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x -60442)*Tw(1,1,0,0,1,1)+(86618*x^10-203483*x^9+379680*x^8+481691*x^7-406061*x^6 -247106*x^5-11816*x^4-165386*x^3-3479*x^2+43223*x-36070)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(0,0,1,0,1,1)+(67681*x^10+115712*x^9+34532*x^8-65854*x^7-755510*x^6-\ 198045*x^5+420920*x^4+22050*x^3-32777*x^2+140183*x+56240)/(79114*x^10-81769*x^9 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10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(1,0,0,1,1,1)+(51672*x^10-76666*x^9+5430*x^8-39319*x^7-73016*x^6-80793 *x^5-1694*x^4+221412*x^3+181759*x^2-79334*x-54970)/(79114*x^10-81769*x^9-10914* x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442) *Tw(0,1,0,1,1,1)-(18337*x^10+49101*x^9+7878*x^8-33101*x^7-154958*x^6-159221*x^5 +63197*x^4+153629*x^3+29317*x^2-126472*x-49034)/(79114*x^10-81769*x^9-10914*x^8 +253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw (1,0,1,1,0,0)-(82236*x^10+3578*x^9+285101*x^8-19355*x^7-315592*x^6-267060*x^5-\ 61316*x^4-305*x^3+5256*x^2+72203*x+75748)/(79114*x^10-81769*x^9-10914*x^8+ 253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw( 0,1,1,1,0,0)-(33645*x^10+95766*x^9-262235*x^8+4570*x^7-39399*x^6-313363*x^5-\ 39197*x^4+143785*x^3+95572*x^2+134527*x+39986)/(79114*x^10-81769*x^9-10914*x^8+ 253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw( 1,1,1,1,0,0)+(85469*x^10+174967*x^9-228955*x^8+235096*x^7+148609*x^6-330525*x^5 -157423*x^4-90191*x^3-147351*x^2+113913*x+62828)/(79114*x^10-81769*x^9-10914*x^ 8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)* Tw(0,0,0,0,1,0)-(80892*x^10+7477*x^9-196605*x^8+127323*x^7+230717*x^6-20665*x^5 -130093*x^4-103653*x^3-30917*x^2+17784*x+34534)/(79114*x^10-81769*x^9-10914*x^8 +253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw (1,0,0,0,1,0)+(57782*x^10+130643*x^9-143585*x^8-151550*x^7+436670*x^6-44186*x^5 -388907*x^4+17151*x^3+102511*x^2-4054*x+35480)/(79114*x^10-81769*x^9-10914*x^8+ 253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw( 0,1,0,0,1,0)-(116529*x^10-210226*x^9+35792*x^8+363990*x^7-425501*x^6-140442*x^5 +401253*x^4-17084*x^3-179505*x^2+17643*x+49566)/(79114*x^10-81769*x^9-10914*x^8 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76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(0,1,1,1,0,1 )+(72391*x^10-193311*x^9+63961*x^8+461536*x^7-13329*x^6-342740*x^5+17650*x^4+ 69830*x^3-125141*x^2-47575*x-38116)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7-\ 76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(1,1,1,1,0,1 )+(14302*x^10+1241*x^9-130179*x^8+224549*x^7+163504*x^6+56372*x^5-19009*x^4-\ 74297*x^3+23425*x^2+16674*x-27586)/(79114*x^10-81769*x^9-10914*x^8+253205*x^7-\ 76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw(0,0,0,0,1,1 )+Tw(1,0,1,1,1,1), -(73406*x^10-153370*x^9+112638*x^8-97591*x^7+324396*x^6-\ 125096*x^5+52536*x^4-129091*x^3+38705*x^2+8562*x-13748)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(0,0,0,1,1,1)-(83605*x^10+11240*x^9-63607*x^8+246057*x^7+26286*x^6+ 246924*x^5-472*x^4-21807*x^3-131814*x^2-36238*x-31366)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(1,0,0,1,1,1)+(9608*x^10+116444*x^9-240285*x^8+144422*x^7+207606*x^6-\ 108277*x^5-251568*x^4-28968*x^3+92091*x^2+17587*x+48728)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(0,1,0,1,1,1)-(37781*x^10-10946*x^9+143811*x^8-194342*x^7+158891*x^6-\ 23525*x^5-146707*x^4+61508*x^3-32310*x^2-119874*x-14584)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(1,1,1,0,0,0)-(39205*x^10-56254*x^9-54986*x^8+35921*x^7-77017*x^6-\ 22000*x^5+172889*x^4-143085*x^3+18930*x^2+58377*x+25940)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(0,0,0,1,0,0)+(66491*x^10-181606*x^9+98783*x^8-60019*x^7+390730*x^6-\ 467866*x^5-47194*x^4+176292*x^3+128767*x^2+65511*x+14022)/(79114*x^10-81769*x^9 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10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(1,0,1,1,0,0)+(95145*x^10-232531*x^9+264570*x^8+21086*x^7+95906*x^6-\ 429400*x^5+246447*x^4+73831*x^3-104204*x^2-63072*x+17780)/(79114*x^10-81769*x^9 -10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x -60442)*Tw(0,1,0,0,0,1)+(1078*x^10+122363*x^9-144948*x^8+19231*x^7+87364*x^6+ 90878*x^5-113460*x^4-300167*x^3-19236*x^2-18183*x-48020)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(1,1,0,0,0,1)+(82530*x^10+14515*x^9+20231*x^8-3699*x^7+315890*x^6-\ 40260*x^5+145833*x^4-186952*x^3+7030*x^2+34333*x+50844)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(0,0,1,0,0,1)-(72082*x^10-36082*x^9-43432*x^8+141952*x^7+60081*x^6+ 98150*x^5-403713*x^4+251284*x^3-38906*x^2-43723*x-57528)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(1,0,1,0,0,1)+(46805*x^10-104405*x^9+88364*x^8-64648*x^7-35901*x^6-\ 109871*x^5+336643*x^4-240054*x^3+24801*x^2+124002*x+26420)/(79114*x^10-81769*x^ 9-10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489* x-60442)*Tw(0,1,1,0,0,1)-(40729*x^10+63282*x^9+252*x^8+144504*x^7-133098*x^6+ 359622*x^5-99376*x^4-151105*x^3-106637*x^2-94436*x-43512)/(79114*x^10-81769*x^9 -10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x -60442)*Tw(1,1,1,0,0,1)-(88143*x^10-49340*x^9-171107*x^8+362458*x^7+152317*x^6-\ 222530*x^5-214481*x^4+319503*x^3-77150*x^2-75338*x-53124)/(79114*x^10-81769*x^9 -10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x -60442)*Tw(0,0,0,1,0,1)-(88492*x^10+29490*x^9-193221*x^8+326752*x^7-85529*x^6+ 252803*x^5-184562*x^4-195083*x^3-21899*x^2+116869*x+37502)/(79114*x^10-81769*x^ 9-10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489* x-60442)*Tw(1,0,0,1,0,1)+(46426*x^10-16832*x^9-41900*x^8+36809*x^7-91817*x^6+ 52330*x^5-196239*x^4+100117*x^3-130914*x^2+100441*x+4506)/(79114*x^10-81769*x^9 -10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x -60442)*Tw(0,0,0,0,0,0)+(63265*x^10+476*x^9-44531*x^8+93693*x^7+123478*x^6+ 40012*x^5-59864*x^4-69103*x^3-77303*x^2-23167*x-40426)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(1,0,0,0,0,0)-(2656*x^10-81137*x^9-20793*x^8+219409*x^7-153621*x^6-\ 215758*x^5-24982*x^4+258870*x^3+25886*x^2-50488*x-3984)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(0,1,0,0,0,0)-(31576*x^10+149369*x^9-176332*x^8+105367*x^7+129624*x^6+ 94447*x^5-289833*x^4-67685*x^3-62708*x^2+54462*x+3346)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(1,1,0,0,0,0)-(7954*x^10-80717*x^9+53247*x^8+20638*x^7+30602*x^6-\ 165190*x^5-19438*x^4+167489*x^3-53311*x^2-40905*x+17354)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(0,0,1,0,0,0)-(49473*x^10-22586*x^9+99607*x^8-266667*x^7+372267*x^6-\ 73940*x^5+157298*x^4-300281*x^3-87730*x^2+103500*x+15026)/(79114*x^10-81769*x^9 -10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x -60442)*Tw(1,0,1,0,0,0)+(41037*x^10-66733*x^9+137934*x^8-89568*x^7+42609*x^6-\ 118080*x^5+175193*x^4+106524*x^3-132441*x^2+31405*x+27596)/(79114*x^10-81769*x^ 9-10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489* x-60442)*Tw(0,1,1,0,0,0)-(11984*x^10+139756*x^9-74499*x^8+32599*x^7-112464*x^6+ 386026*x^5-84168*x^4-169240*x^3-225087*x^2-17440*x+14090)/(79114*x^10-81769*x^9 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8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)* Tw(0,1,0,0,1,0)+(65163*x^10-71287*x^9+115815*x^8-11646*x^7+112465*x^6-38136*x^5 -309914*x^4+225795*x^3-41985*x^2-83462*x-54608)/(79114*x^10-81769*x^9-10914*x^8 +253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw (1,1,0,0,1,0)-(14619*x^10-244277*x^9+357624*x^8-127024*x^7-143540*x^6-201437*x^ 5+88112*x^4+266240*x^3-42898*x^2-152951*x-42566)/(79114*x^10-81769*x^9-10914*x^ 8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)* Tw(0,0,1,0,1,0)-(45430*x^10-50125*x^9-166216*x^8+299391*x^7-76451*x^6-293271*x^ 5-29469*x^4+110964*x^3+61919*x^2+8950*x-13848)/(79114*x^10-81769*x^9-10914*x^8+ 253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw( 1,0,1,0,1,0)+(16789*x^10+47081*x^9-62394*x^8-120311*x^7+326340*x^6-288493*x^5+ 284323*x^4-257280*x^3+34365*x^2-4261*x+54840)/(79114*x^10-81769*x^9-10914*x^8+ 253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw( 0,1,1,0,1,0)-(37785*x^10-203034*x^9+170732*x^8-88594*x^7+131308*x^6-417326*x^5+ 260874*x^4-113287*x^3+17087*x^2-34567*x+8346)/(79114*x^10-81769*x^9-10914*x^8+ 253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw( 1,1,1,0,1,0)+(108806*x^10-180360*x^9+193113*x^8-25472*x^7+307153*x^6-181866*x^5 +248670*x^4-39859*x^3-29128*x^2+58205*x+44668)/(79114*x^10-81769*x^9-10914*x^8+ 253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw( 0,0,0,1,1,0)-(113811*x^10-151996*x^9+71120*x^8+193615*x^7+77071*x^6-85831*x^5+ 85583*x^4-58448*x^3+88296*x^2-25494*x+8088)/(79114*x^10-81769*x^9-10914*x^8+ 253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw( 1,0,0,1,1,0)+(12727*x^10+2881*x^9+124986*x^8-69375*x^7+95298*x^6-184573*x^5+ 169279*x^4-169976*x^3-71027*x^2-142284*x-38832)/(79114*x^10-81769*x^9-10914*x^8 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253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw( 0,1,1,1,1,0)+(18527*x^10+149734*x^9-291217*x^8+325688*x^7+62097*x^6+136378*x^5-\ 415754*x^4+118350*x^3+57615*x^2-17702*x+16880)/(79114*x^10-81769*x^9-10914*x^8+ 253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw( 1,1,1,1,1,0)+(12207*x^10+128103*x^9-97528*x^8-62013*x^7+290074*x^6+230348*x^5-\ 265553*x^4-64220*x^3+95849*x^2+121151*x+67688)/(79114*x^10-81769*x^9-10914*x^8+ 253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw( 0,0,0,0,0,1)-(2314*x^10-4341*x^9-40097*x^8+90180*x^7-175328*x^6+127718*x^5+ 56905*x^4-72280*x^3+77310*x^2+14979*x+10152)/(79114*x^10-81769*x^9-10914*x^8+ 253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-60442)*Tw( 1,0,0,0,0,1)+(44712*x^10-33689*x^9+37776*x^8-57403*x^7+187453*x^6-62495*x^5-\ 82525*x^4-88144*x^3-78770*x^2+23302*x+32072)/(79114*x^10-81769*x^9-10914*x^8+ 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10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(1,0,0,0,1,1)-(148251*x^10+18966*x^9-45990*x^8-261283*x^7+337321*x^6-\ 289830*x^5+211035*x^4+41046*x^3+119066*x^2-2562*x+60694)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(0,1,0,0,1,1)-(28897*x^10+30302*x^9-106866*x^8-10259*x^7+16683*x^6-\ 612497*x^5+235453*x^4-39813*x^3+8421*x^2-79400*x-618)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(1,1,0,0,1,1)-(50638*x^10-320777*x^9+480344*x^8+83065*x^7+52101*x^6+ 105610*x^5-252056*x^4-29006*x^3+33545*x^2+38979*x+3898)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(0,0,1,0,1,1)-(223*x^10+10982*x^9+399693*x^8+72672*x^7-1046680*x^6+ 74711*x^5-213851*x^4+47599*x^3-66216*x^2-13748*x-50098)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(1,0,1,0,1,1)+(21545*x^10-56312*x^9-167798*x^8+420931*x^7+55960*x^6+ 153542*x^5-59421*x^4+38767*x^3-8088*x^2-19134*x-13284)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(0,1,1,0,1,1)+(80344*x^10-97299*x^9+23763*x^8-287376*x^7-120746*x^6-\ 33596*x^5+289130*x^4+121365*x^3-81505*x^2-22937*x+18026)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(1,1,1,0,1,1)+(10058*x^10+341936*x^9-530850*x^8+101966*x^7-130826*x^6+ 250643*x^5-285577*x^4-37202*x^3+4289*x^2+72103*x+23234)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(0,0,0,1,1,1)+(62621*x^10+19114*x^9+150263*x^8-150578*x^7-33477*x^6-\ 384046*x^5-152332*x^4-230898*x^3-114210*x^2-53433*x-32168)/(79114*x^10-81769*x^ 9-10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489* x-60442)*Tw(1,0,0,1,1,1)-(66730*x^10-133791*x^9+202218*x^8-148694*x^7-90250*x^6 -145837*x^5+27445*x^4+193207*x^3+40934*x^2-5090*x+7214)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(0,1,0,1,1,1)+(51342*x^10-86740*x^9-164270*x^8+125567*x^7+52218*x^6+ 203113*x^5-402859*x^4+124950*x^3-81098*x^2+35484*x-30836)/(79114*x^10-81769*x^9 -10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x -60442)*Tw(0,0,0,0,0,0)-(30935*x^10+79361*x^9+38516*x^8-29906*x^7-84159*x^6-\ 111442*x^5-122672*x^4-111933*x^3-4323*x^2-11439*x+4422)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(1,0,0,0,0,0)-(19760*x^10+34085*x^9+153639*x^8+183932*x^7-349180*x^6-\ 60262*x^5-154526*x^4-47142*x^3-11034*x^2-26265*x-56518)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(0,1,0,0,0,0)-(9014*x^10+104592*x^9-391706*x^8+172352*x^7+161284*x^6+ 274283*x^5-133114*x^4+22530*x^3-99132*x^2+32078*x-18042)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(1,1,0,0,0,0)+(37572*x^10+39684*x^9-318020*x^8+228600*x^7+138469*x^6-\ 147726*x^5+94242*x^4+43680*x^3-683*x^2+9494*x+21644)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(0,0,1,0,0,0)+(32507*x^10+149247*x^9-156649*x^8+507434*x^7-760366*x^6+ 138615*x^5-131985*x^4-55376*x^3-10033*x^2+22653*x-17788)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(1,0,1,0,0,0)+(72491*x^10-99803*x^9+114681*x^8-320521*x^7+383217*x^6+ 75625*x^5-207592*x^4+87195*x^3+96828*x^2+51780*x-5698)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(0,1,1,0,0,0)-(94973*x^10-215669*x^9+198407*x^8-333822*x^7-83626*x^6+ 325848*x^5+72558*x^4-89861*x^3+4832*x^2+74161*x+33298)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(1,1,1,0,0,0)+(22159*x^10+94381*x^9+150371*x^8-135915*x^7-278203*x^6+ 245476*x^5-23982*x^4-10136*x^3-98746*x^2+26141*x-19236)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(0,0,0,1,0,0)+(55499*x^10-278463*x^9+664311*x^8-171957*x^7+228229*x^6-\ 284540*x^5-102137*x^4-96522*x^3-36550*x^2-8987*x-58050)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(1,0,0,1,0,0)+(126042*x^10+76535*x^9-42633*x^8+343928*x^7-667654*x^6-\ 136790*x^5-120275*x^4+27618*x^3-52605*x^2-4633*x-58874)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(0,1,0,1,0,0)+(28663*x^10-107725*x^9+54347*x^8-123422*x^7+114145*x^6+ 125797*x^5+163580*x^4+61554*x^3+10133*x^2+69201*x+58670)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(1,1,0,1,0,0)-(66150*x^10-33498*x^9-6434*x^8-35531*x^7+408535*x^6-\ 51491*x^5+214329*x^4-95336*x^3+78762*x^2+20172*x+25418)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(0,0,1,1,0,0)-(50713*x^10+31023*x^9-229053*x^8+172543*x^7+422139*x^6-\ 82513*x^5-49551*x^4-89006*x^3+45869*x^2+46671*x-28648)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(1,0,1,1,0,0)+(6160*x^10-65868*x^9+465349*x^8-113517*x^7+6524*x^6-\ 413213*x^5-4832*x^4-160390*x^3+6043*x^2+3230*x-5602)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(0,1,1,1,0,0)+(22013*x^10+125087*x^9-223674*x^8+268133*x^7-435252*x^6-\ 228237*x^5-120952*x^4-66945*x^3+22622*x^2+8240*x-3728)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(1,1,1,1,0,0)-(21535*x^10+243057*x^9-258314*x^8+502895*x^7-177201*x^6-\ 79967*x^5-91043*x^4-224280*x^3-80720*x^2-8516*x-24314)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(0,0,0,0,1,0)+(54950*x^10+46050*x^9-35589*x^8-72975*x^7+42481*x^6+ 303713*x^5-114147*x^4-78324*x^3-78530*x^2+31576*x+40734)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(1,0,0,0,1,0)-(25874*x^10+169677*x^9-53653*x^8-87952*x^7+328178*x^6-\ 192030*x^5+40746*x^4-102149*x^3-9913*x^2-5130*x+43152)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(0,1,0,0,1,0)+(124733*x^10-260709*x^9+314652*x^8-3825*x^7-369128*x^6+ 304680*x^5-78922*x^4+40076*x^3-99124*x^2+54156*x-32144)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(1,1,0,0,1,0)-(66107*x^10-242266*x^9+751951*x^8-501857*x^7-501770*x^6+ 104458*x^5+27455*x^4-66208*x^3+1023*x^2-14623*x+11886)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(0,0,1,0,1,0)-(43932*x^10-22670*x^9-128609*x^8+495007*x^7-55553*x^6-\ 375716*x^5-139654*x^4-18326*x^3-18140*x^2-47392*x-91952)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(1,0,1,0,1,0)-(32607*x^10+19892*x^9+76485*x^8+268967*x^7-725547*x^6+ 383184*x^5-233468*x^4+138944*x^3-137628*x^2+31937*x+6680)/(79114*x^10-81769*x^9 -10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x -60442)*Tw(0,1,1,0,1,0)+(35583*x^10+190131*x^9-585435*x^8+434532*x^7-170668*x^6 +435011*x^5-217826*x^4+148818*x^3-9635*x^2+139846*x+27336)/(79114*x^10-81769*x^ 9-10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489* x-60442)*Tw(1,1,1,0,1,0)-(49802*x^10+177764*x^9-536784*x^8+567858*x^7-592886*x^ 6-123941*x^5-123396*x^4+4410*x^3-164419*x^2-13662*x-67786)/(79114*x^10-81769*x^ 9-10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489* x-60442)*Tw(0,0,0,1,1,0)-(41527*x^10-214131*x^9+273988*x^8+150572*x^7+35435*x^6 -71737*x^5+253700*x^4-49570*x^3+99304*x^2-48128*x+26260)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(1,0,0,1,1,0)+(31061*x^10-2093*x^9+109396*x^8-384012*x^7+107708*x^6-\ 145490*x^5+329340*x^4-89008*x^3+152*x^2-69714*x-12728)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(0,1,0,1,1,0)-(17447*x^10-144541*x^9+426673*x^8-282754*x^7+161609*x^6+ 268744*x^5-67497*x^4+48447*x^3+63190*x^2+30521*x+34650)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(1,1,0,1,1,0)+(5058*x^10+74598*x^9-130975*x^8+222324*x^7+120385*x^6+ 7399*x^5-21751*x^4-77821*x^3+85939*x^2+54537*x+30172)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(0,0,1,1,1,0)+(96488*x^10+31973*x^9-136280*x^8+475732*x^7-495153*x^6-\ 201521*x^5-272421*x^4-51069*x^3-68951*x^2+82992*x-35248)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(1,0,1,1,1,0)-(8530*x^10+108579*x^9-573343*x^8+335318*x^7-107178*x^6+ 170961*x^5-43629*x^4+45190*x^3-5714*x^2+136504*x-2794)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(0,1,1,1,1,0)-(34451*x^10-155926*x^9+343759*x^8-537653*x^7+314059*x^6-\ 421326*x^5+82388*x^4+43280*x^3+54085*x^2-48619*x+17354)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(1,1,1,1,1,0)-(6169*x^10-43504*x^9+140506*x^8-64693*x^7-267115*x^6-\ 393757*x^5+61105*x^4+57245*x^3+12384*x^2-85514*x-62954)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(0,0,0,0,0,1)+(51890*x^10-81667*x^9+171492*x^8-87700*x^7+21120*x^6-\ 63645*x^5-71046*x^4+62581*x^3-74637*x^2-16081*x-81028)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(1,0,0,0,0,1)+(24187*x^10-174639*x^9+628085*x^8-639544*x^7+232068*x^6+ 1554*x^5+42170*x^4-106803*x^3+75755*x^2-64992*x-3312)/(79114*x^10-81769*x^9-\ 10914*x^8+253205*x^7-76485*x^6-195068*x^5-5190*x^4+57538*x^3-30715*x^2-40489*x-\ 60442)*Tw(0,1,0,0,0,1)+Tw(1,1,1,1,1,1)] # Leading monomials: [Tw(1,1,0,1,1,1), Tw(0,0,1,1,1,1), Tw(1,0,1,1,1,1), Tw(0,1,1,1,1,1), Tw(1,1,1,1 ,1,1)] # Time by Buchberger, Time by F4, Speedup by F4: 1.20, 0.44, 2.74 # Example 36, 5 polynomials of the same degree 2 with random coefficients in k[x]_(<= 2) # Input generating set: [(-8*x^2+2*x-6)*Tw(0,0)+(-4*x^2-5*x+7)*Tw(0,1)+(-2*x^2-5*x-8)*Tw(0,2)+(8*x^2+x+ 9)*Tw(1,0)+(4*x^2+8*x+5)*Tw(1,1)+(-2*x^2+4)*Tw(1,2)+(2*x^2-x+3)*Tw(2,0)+(6*x^2-\ 9*x-4)*Tw(2,1)+(3*x^2+4*x-3)*Tw(2,2), (-3*x^2-7*x+4)*Tw(0,0)+(5*x^2+5*x+9)*Tw(0 ,1)+(2*x^2+9*x-2)*Tw(0,2)+(-7*x^2+7*x+7)*Tw(1,0)+(-7*x^2-5*x-5)*Tw(1,1)-8*Tw(1, 2)+(-2*x^2+5*x-8)*Tw(2,0)+(-x^2-x-3)*Tw(2,1)+(-6*x^2+2*x+3)*Tw(2,2), (9*x^2+5)* Tw(0,0)+(-x^2+2*x+1)*Tw(0,1)+(-2*x^2-x+7)*Tw(0,2)+(8*x^2+x+3)*Tw(1,0)+(-2*x^2+7 *x-4)*Tw(1,1)+(7*x^2-8*x-1)*Tw(1,2)+(-x^2-6*x+9)*Tw(2,0)+(-6*x^2-4*x-6)*Tw(2,1) +(-6*x^2-2)*Tw(2,2), (-8*x^2+6*x-8)*Tw(0,0)+(x^2+5*x+1)*Tw(0,1)+(-7*x^2-5*x+4)* Tw(0,2)+(-3*x^2+x+1)*Tw(1,0)+(-5*x^2+6*x+1)*Tw(1,1)+(-6*x^2-2*x-8)*Tw(1,2)+(x^2 +x-4)*Tw(2,0)+(-2*x^2+6*x+1)*Tw(2,1)+(-x^2-7*x+8)*Tw(2,2), (7*x^2-9*x-5)*Tw(0,0 )+(-8*x^2-6*x+7)*Tw(0,1)+(-7*x^2+7*x-3)*Tw(0,2)+(-8*x^2+2*x+7)*Tw(1,0)+(-5*x^2-\ 7*x+5)*Tw(1,1)+(-6*x^2-2*x+4)*Tw(1,2)+(4*x^2-x+7)*Tw(2,0)+(-8*x^2-x-7)*Tw(2,1)+ (-8*x^2-5*x-7)*Tw(2,2)] # Output Gröbner basis: [(32287*x^10-148476*x^9-99176*x^8+92125*x^7+555236*x^6+493827*x^5+562252*x^4+ 248482*x^3+180131*x^2-131958*x-33924)/(22206*x^10-61160*x^9+59523*x^8-188270*x^ 7-2098*x^6+94036*x^5+567998*x^4+285178*x^3+180110*x^2+33198*x+20969)*Tw(0,0)+( 12303*x^10+16494*x^9-54763*x^8+59609*x^7+71498*x^6+263181*x^5-131455*x^4-186620 *x^3-271054*x^2+69786*x-1439)/(22206*x^10-61160*x^9+59523*x^8-188270*x^7-2098*x ^6+94036*x^5+567998*x^4+285178*x^3+180110*x^2+33198*x+20969)*Tw(1,0)+(12963*x^ 10-32087*x^9+32156*x^8-12217*x^7-249996*x^6-273717*x^5-39014*x^4+333874*x^3+ 155550*x^2+58685*x+1167)/(22206*x^10-61160*x^9+59523*x^8-188270*x^7-2098*x^6+ 94036*x^5+567998*x^4+285178*x^3+180110*x^2+33198*x+20969)*Tw(2,0)-(36411*x^10-\ 8544*x^9-212293*x^8-276621*x^7-28076*x^6+182111*x^5+334077*x^4+329216*x^3+ 309738*x^2-22214*x-2429)/(22206*x^10-61160*x^9+59523*x^8-188270*x^7-2098*x^6+ 94036*x^5+567998*x^4+285178*x^3+180110*x^2+33198*x+20969)*Tw(0,1)+Tw(1,1), -( 39037*x^10-21467*x^9+59595*x^8-211372*x^7-47245*x^6-359431*x^5+63636*x^4-86979* x^3+167549*x^2+150733*x-6344)/(22206*x^10-61160*x^9+59523*x^8-188270*x^7-2098*x ^6+94036*x^5+567998*x^4+285178*x^3+180110*x^2+33198*x+20969)*Tw(0,0)+(23391*x^ 10-23661*x^9+134592*x^8-77794*x^7+44133*x^6-333946*x^5-473878*x^4-639090*x^3-\ 136892*x^2+34247*x-31512)/(22206*x^10-61160*x^9+59523*x^8-188270*x^7-2098*x^6+ 94036*x^5+567998*x^4+285178*x^3+180110*x^2+33198*x+20969)*Tw(1,0)-(939*x^10+ 4150*x^9-9629*x^8+53740*x^7-13458*x^6+3101*x^5-38898*x^4-104184*x^3+69071*x^2+ 18397*x+25519)/(22206*x^10-61160*x^9+59523*x^8-188270*x^7-2098*x^6+94036*x^5+ 567998*x^4+285178*x^3+180110*x^2+33198*x+20969)*Tw(2,0)+(3321*x^10+23755*x^9+ 46402*x^8-43998*x^7+59033*x^6-78500*x^5-216980*x^4-458284*x^3-99870*x^2+53371*x -17628)/(22206*x^10-61160*x^9+59523*x^8-188270*x^7-2098*x^6+94036*x^5+567998*x^ 4+285178*x^3+180110*x^2+33198*x+20969)*Tw(0,1)+Tw(2,1), (17805*x^10-2301*x^9-\ 218648*x^8-327136*x^7+983737*x^6+234960*x^5+973515*x^4+293509*x^3+491080*x^2-\ 11774*x-1915)/(22206*x^10-61160*x^9+59523*x^8-188270*x^7-2098*x^6+94036*x^5+ 567998*x^4+285178*x^3+180110*x^2+33198*x+20969)*Tw(0,0)-(35529*x^10-139441*x^9+ 168224*x^8-238611*x^7-19192*x^6-200959*x^5+316881*x^4+76288*x^3+378912*x^2-8543 *x+13202)/(22206*x^10-61160*x^9+59523*x^8-188270*x^7-2098*x^6+94036*x^5+567998* x^4+285178*x^3+180110*x^2+33198*x+20969)*Tw(1,0)-(3441*x^10-72200*x^9+234964*x^ 8-427899*x^7+580700*x^6+247323*x^5+248708*x^4-232472*x^3-130188*x^2-64710*x-\ 15355)/(22206*x^10-61160*x^9+59523*x^8-188270*x^7-2098*x^6+94036*x^5+567998*x^4 +285178*x^3+180110*x^2+33198*x+20969)*Tw(2,0)+(6849*x^10-143643*x^9+190066*x^8+ 333017*x^7+302258*x^6+159957*x^5-319787*x^4-119462*x^3-373492*x^2-22901*x-14524 )/(22206*x^10-61160*x^9+59523*x^8-188270*x^7-2098*x^6+94036*x^5+567998*x^4+ 285178*x^3+180110*x^2+33198*x+20969)*Tw(0,1)+Tw(0,2), -(2704*x^10+16336*x^9-\ 184909*x^8+118839*x^7+519229*x^6-168014*x^5+627737*x^4-344227*x^3-22887*x^2-\ 274219*x-4170)/(22206*x^10-61160*x^9+59523*x^8-188270*x^7-2098*x^6+94036*x^5+ 567998*x^4+285178*x^3+180110*x^2+33198*x+20969)*Tw(0,0)+(35202*x^10-121880*x^9+ 205108*x^8-346057*x^7+51317*x^6-204100*x^5+309717*x^4-98177*x^3+102382*x^2-\ 165097*x+4275)/(22206*x^10-61160*x^9+59523*x^8-188270*x^7-2098*x^6+94036*x^5+ 567998*x^4+285178*x^3+180110*x^2+33198*x+20969)*Tw(1,0)-(8724*x^10+22420*x^9-\ 144915*x^8+305670*x^7-702544*x^6+257239*x^5-245232*x^4+295102*x^3-75264*x^2+ 2978*x-32482)/(22206*x^10-61160*x^9+59523*x^8-188270*x^7-2098*x^6+94036*x^5+ 567998*x^4+285178*x^3+180110*x^2+33198*x+20969)*Tw(2,0)+(13260*x^10+67814*x^9-\ 183811*x^8-96670*x^7-319230*x^6-74135*x^5+55150*x^4-84096*x^3+33521*x^2-144972* x-16717)/(22206*x^10-61160*x^9+59523*x^8-188270*x^7-2098*x^6+94036*x^5+567998*x ^4+285178*x^3+180110*x^2+33198*x+20969)*Tw(0,1)+Tw(1,2), -(14124*x^10-165804*x^ 9-151549*x^8+202101*x^7+1243631*x^6-186848*x^5+726190*x^4-496126*x^3-122294*x^2 -307657*x+12394)/(22206*x^10-61160*x^9+59523*x^8-188270*x^7-2098*x^6+94036*x^5+ 567998*x^4+285178*x^3+180110*x^2+33198*x+20969)*Tw(0,0)-(4188*x^10+134920*x^9-\ 195525*x^8+312085*x^7-139264*x^6-370729*x^5-856639*x^4-196061*x^3-107926*x^2+ 142657*x-17616)/(22206*x^10-61160*x^9+59523*x^8-188270*x^7-2098*x^6+94036*x^5+ 567998*x^4+285178*x^3+180110*x^2+33198*x+20969)*Tw(1,0)-(8712*x^10-4590*x^9-\ 118325*x^8+332533*x^7-794203*x^6+245038*x^5+304203*x^4+498163*x^3+42899*x^2+ 3172*x-17364)/(22206*x^10-61160*x^9+59523*x^8-188270*x^7-2098*x^6+94036*x^5+ 567998*x^4+285178*x^3+180110*x^2+33198*x+20969)*Tw(2,0)+(25704*x^10+19284*x^9-\ 422543*x^8-97643*x^7+141650*x^6+712571*x^5+755877*x^4+248273*x^3+65952*x^2-\ 131889*x-4934)/(22206*x^10-61160*x^9+59523*x^8-188270*x^7-2098*x^6+94036*x^5+ 567998*x^4+285178*x^3+180110*x^2+33198*x+20969)*Tw(0,1)+Tw(2,2)] # Leading monomials: [Tw(1,1), Tw(2,1), Tw(0,2), Tw(1,2), Tw(2,2)] # Time by Buchberger, Time by F4, Speedup by F4: 0.12, 0.01, 13.33 # Example 37, 5 polynomials of the same degree 3 with random coefficients in k[x]_(<= 2) # Input generating set: [(-9*x^2+2)*Tw(2,0,0)+(-4*x^2-8*x-5)*Tw(2,0,1)+(6*x^2+7*x-1)*Tw(2,0,2)+(3*x^2+2 *x+5)*Tw(2,1,0)+(-3+9*x)*Tw(0,0,0)+(-5*x^2+4)*Tw(0,0,1)+(8*x^2-9*x+4)*Tw(0,0,2) +(7*x^2-8*x)*Tw(0,1,0)+(8*x^2-2*x-3)*Tw(0,1,1)+(-6*x^2+4*x-7)*Tw(0,1,2)+(8*x^2+ 6*x+7)*Tw(0,2,0)+(x^2+2*x-3)*Tw(0,2,1)+(-9*x^2-2*x-2)*Tw(2,1,1)+(2*x^2-3*x+2)* Tw(2,1,2)+(8*x^2-3*x+8)*Tw(2,2,0)+(-4*x^2+6*x+7)*Tw(2,2,1)+(-7*x^2+2*x-6)*Tw(2, 2,2)+(-8+7*x)*Tw(0,2,2)+(-3*x^2+8*x-5)*Tw(1,0,0)+(-4*x^2+x+7)*Tw(1,0,1)+(8*x^2+ 5*x+5)*Tw(1,0,2)+(-9*x^2+7*x+6)*Tw(1,1,0)+(-x^2+4*x+3)*Tw(1,1,1)+(-3*x^2+x-7)* Tw(1,1,2)+(5-7*x)*Tw(1,2,0)+(7*x^2-2*x+5)*Tw(1,2,1)+(x^2+6*x-6)*Tw(1,2,2), (-8* x^2+9*x-2)*Tw(1,0,0)+(-5*x^2+8*x)*Tw(1,0,1)+(-7*x^2+8*x-8)*Tw(1,0,2)+(5*x^2-9*x -4)*Tw(1,1,0)+(2*x^2+x-9)*Tw(1,1,1)+(-3-9*x)*Tw(1,1,2)+(-7*x^2+4*x-9)*Tw(1,2,0) +(-9*x^2-5*x+8)*Tw(1,2,1)+(-3*x^2+7*x-7)*Tw(1,2,2)+(2*x^2-9*x-8)*Tw(2,0,0)+(8*x ^2+2*x+5)*Tw(2,0,1)+(-9*x^2+3*x-8)*Tw(2,0,2)+(6*x^2-7*x+4)*Tw(2,1,0)+(-2*x^2-6* x-8)*Tw(2,1,1)+(7+3*x)*Tw(2,1,2)+(9*x^2-2*x+3)*Tw(2,2,0)+(6*x^2-6*x)*Tw(2,2,1)+ (x^2+9)*Tw(2,2,2)+(-6*x^2+7*x+3)*Tw(0,0,0)+(3*x^2+4*x)*Tw(0,0,1)+(5*x^2+6*x)*Tw (0,0,2)+(3+9*x)*Tw(0,1,0)+(-4*x^2-8*x-4)*Tw(0,1,1)+(-3*x^2-8*x-2)*Tw(0,1,2)+(-8 *x^2-8*x+9)*Tw(0,2,0)+(-6*x^2+3*x+3)*Tw(0,2,1)+(3*x^2-x-9)*Tw(0,2,2), (5*x^2+4* x+2)*Tw(0,2,0)+(9*x^2+3*x+5)*Tw(0,2,1)+(-8*x^2+2*x-9)*Tw(0,2,2)+(-7*x^2-9*x-7)* Tw(1,0,0)+(-x^2-5*x+7)*Tw(1,0,1)+(-6*x^2-8*x+9)*Tw(1,0,2)+(8*x^2-2*x-9)*Tw(1,1, 0)+(-9*x^2+5*x-6)*Tw(1,1,1)+(6*x^2+5*x+4)*Tw(1,1,2)+(-3*x^2+2*x+1)*Tw(1,2,0)+(-\ 4*x^2+2*x+9)*Tw(1,2,1)+(-x^2+5*x-5)*Tw(0,0,0)+(7*x^2-8*x-8)*Tw(1,2,2)+(-5*x^2-9 *x+5)*Tw(2,0,0)+(3*x^2-5*x-4)*Tw(2,0,1)+(-3*x^2+6*x)*Tw(2,0,2)+(-8*x^2+2*x+1)* Tw(2,1,0)+(-5*x^2-4*x-3)*Tw(2,1,1)+(4*x^2-7*x-7)*Tw(2,1,2)+(-x^2-3*x+5)*Tw(2,2, 0)+(-3*x^2-9*x+2)*Tw(2,2,1)+(8*x^2+6*x+3)*Tw(2,2,2)+(2*x^2-x-2)*Tw(0,0,1)+(7*x^ 2+7*x-1)*Tw(0,0,2)+(3*x^2+6*x+1)*Tw(0,1,0)+(4*x^2+7*x+2)*Tw(0,1,1)+(-8*x^2+8*x-\ 5)*Tw(0,1,2), (8*x^2+4*x-8)*Tw(2,2,0)+(-4*x^2+x+9)*Tw(2,2,1)+(6*x^2-3*x+1)*Tw(2 ,2,2)+(-4*x^2-5*x+7)*Tw(0,2,1)+(8*x^2+9*x-3)*Tw(0,2,2)+(-8*x^2-2*x-4)*Tw(1,0,0) +(4*x^2+7*x+7)*Tw(1,0,1)+(8*x^2+3*x+3)*Tw(1,0,2)+(-3*x^2+8*x-4)*Tw(1,1,0)+(-7*x ^2+7*x-9)*Tw(1,1,1)+(3*x^2-6*x+2)*Tw(1,1,2)+(9*x^2+x)*Tw(1,2,0)+(-4*x^2-4*x-8)* Tw(1,2,1)+(7*x^2-9*x-7)*Tw(1,2,2)+(7*x^2-6*x+9)*Tw(2,0,0)+(-2*x^2-3*x+2)*Tw(2,0 ,1)+(-2*x^2+6*x-8)*Tw(2,0,2)+(9-2*x)*Tw(2,1,0)+(4+6*x)*Tw(2,1,1)+(-6*x^2+3*x-9) *Tw(2,1,2)+(4*x^2-9*x)*Tw(0,0,0)+(-5*x^2+2*x+3)*Tw(0,0,1)+(x^2-9*x-4)*Tw(0,0,2) +(2*x^2+4*x-7)*Tw(0,1,0)+(5*x^2+6*x+6)*Tw(0,1,1)+(-6*x^2+8*x-7)*Tw(0,1,2)+(-5*x ^2-4*x+8)*Tw(0,2,0), (2*x^2-5*x-6)*Tw(0,2,1)+(x^2-7*x-7)*Tw(0,2,2)+(-7*x^2-9*x+ 1)*Tw(1,0,0)+(x^2+6*x+1)*Tw(1,0,1)+(9*x^2-x)*Tw(1,0,2)+(4*x^2-2*x+3)*Tw(1,1,2)+ (2*x^2+5*x)*Tw(1,2,0)+(4*x^2-3*x-5)*Tw(1,2,1)+(4*x^2+8*x+2)*Tw(1,2,2)+(-3*x^2-6 *x+7)*Tw(2,0,0)+(2*x^2+5*x-7)*Tw(2,0,1)+(-7*x^2+x-7)*Tw(2,0,2)+(-3-5*x)*Tw(2,1, 0)+(-2*x^2+x+1)*Tw(2,1,1)+(8*x^2+2*x-3)*Tw(2,1,2)+(-7*x^2-3*x+7)*Tw(2,2,0)+(6*x ^2-8*x-1)*Tw(2,2,1)+(-2*x^2+9*x+8)*Tw(2,2,2)+(5*x^2+3*x-8)*Tw(1,1,0)+(-7*x^2+5* x-1)*Tw(1,1,1)+(-9-x)*Tw(0,0,0)+(-4*x^2-8*x-4)*Tw(0,0,1)+(6*x^2-2*x+4)*Tw(0,0,2 )+(9*x^2-9*x+9)*Tw(0,1,0)+(3*x^2-3*x+7)*Tw(0,1,1)+(6*x^2+4*x-4)*Tw(0,1,2)+(-x^2 +2*x-7)*Tw(0,2,0)] # Output Gröbner basis: [(41418*x^10-117614*x^9-5059*x^8+109806*x^7-321570*x^6-127690*x^5+49670*x^4-\ 550624*x^3+705958*x^2+152958*x-15300)/(6660*x^10+46032*x^9-51954*x^8+297279*x^7 -471354*x^6+637159*x^5-246647*x^4+355028*x^3+307624*x^2+191594*x+60540)*Tw(0,0, 0)+(79618*x^10-208094*x^9+421875*x^8-399292*x^7+402888*x^6+614773*x^5-407256*x^ 4+875726*x^3+80143*x^2-100592*x-32190)/(6660*x^10+46032*x^9-51954*x^8+297279*x^ 7-471354*x^6+637159*x^5-246647*x^4+355028*x^3+307624*x^2+191594*x+60540)*Tw(1,0 ,0)+(38544*x^10+77852*x^9-52228*x^8+421860*x^7-249009*x^6+1055330*x^5-171531*x^ 4+204606*x^3-341515*x^2-244270*x-72030)/(6660*x^10+46032*x^9-51954*x^8+297279*x ^7-471354*x^6+637159*x^5-246647*x^4+355028*x^3+307624*x^2+191594*x+60540)*Tw(2, 0,0)-(26946*x^10+6120*x^9+169625*x^8-273569*x^7+734484*x^6-427755*x^5+1002084*x ^4-788282*x^3+368910*x^2-229036*x-46272)/(6660*x^10+46032*x^9-51954*x^8+297279* x^7-471354*x^6+637159*x^5-246647*x^4+355028*x^3+307624*x^2+191594*x+60540)*Tw(0 ,1,0)+(5508*x^10-808*x^9+158366*x^8-142625*x^7+120*x^6+111605*x^5+311758*x^4-\ 551937*x^3+108902*x^2-125882*x-63636)/(6660*x^10+46032*x^9-51954*x^8+297279*x^7 -471354*x^6+637159*x^5-246647*x^4+355028*x^3+307624*x^2+191594*x+60540)*Tw(1,1, 0)-(34330*x^10-65134*x^9+219051*x^8-272475*x^7+439526*x^6-69052*x^5+160789*x^4+ 553836*x^3-106924*x^2+157254*x+115272)/(6660*x^10+46032*x^9-51954*x^8+297279*x^ 7-471354*x^6+637159*x^5-246647*x^4+355028*x^3+307624*x^2+191594*x+60540)*Tw(2,1 ,0)-(2710*x^10+10758*x^9+96391*x^8+94569*x^7+236183*x^6+450894*x^5+143459*x^4+ 841264*x^3-521466*x^2+97298*x+84732)/(6660*x^10+46032*x^9-51954*x^8+297279*x^7-\ 471354*x^6+637159*x^5-246647*x^4+355028*x^3+307624*x^2+191594*x+60540)*Tw(0,2,0 )+(55646*x^10+30120*x^9-106651*x^8+300708*x^7+84692*x^6-272317*x^5+442462*x^4-\ 464151*x^3-344002*x^2+40612*x+7644)/(6660*x^10+46032*x^9-51954*x^8+297279*x^7-\ 471354*x^6+637159*x^5-246647*x^4+355028*x^3+307624*x^2+191594*x+60540)*Tw(1,2,0 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191594*x+60540)*Tw(2,1,0)-(3935*x^10+48815*x^9+56390*x^8+459895*x^7+440314*x^6+ 1031706*x^5+487075*x^4+601766*x^3-234330*x^2-63566*x+21528)/(6660*x^10+46032*x^ 9-51954*x^8+297279*x^7-471354*x^6+637159*x^5-246647*x^4+355028*x^3+307624*x^2+ 191594*x+60540)*Tw(0,2,0)-(31457*x^10-42004*x^9-307999*x^8+275755*x^7-589528*x^ 6+674238*x^5+130238*x^4+621994*x^3+450782*x^2+105889*x+19684)/(6660*x^10+46032* x^9-51954*x^8+297279*x^7-471354*x^6+637159*x^5-246647*x^4+355028*x^3+307624*x^2 +191594*x+60540)*Tw(1,2,0)+(56391*x^10-286563*x^9+114721*x^8-496613*x^7-186523* x^6-96954*x^5-465267*x^4+84043*x^3-306481*x^2+49899*x+62275)/(6660*x^10+46032*x ^9-51954*x^8+297279*x^7-471354*x^6+637159*x^5-246647*x^4+355028*x^3+307624*x^2+ 191594*x+60540)*Tw(2,2,0)+(3685*x^10+37641*x^9-253119*x^8+202646*x^7-96828*x^6+ 387355*x^5+508938*x^4+304878*x^3+247050*x^2+21*x-27965)/(6660*x^10+46032*x^9-\ 51954*x^8+297279*x^7-471354*x^6+637159*x^5-246647*x^4+355028*x^3+307624*x^2+ 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397728*x^6-352499*x^5+376557*x^4+224077*x^3-2561*x^2+141576*x+29945)/(6660*x^10 +46032*x^9-51954*x^8+297279*x^7-471354*x^6+637159*x^5-246647*x^4+355028*x^3+ 307624*x^2+191594*x+60540)*Tw(2,0,2)-(13424*x^10-202474*x^9+173087*x^8-490386*x ^7+596841*x^6-732574*x^5+240960*x^4-192774*x^3-121683*x^2-13477*x-19120)/(6660* x^10+46032*x^9-51954*x^8+297279*x^7-471354*x^6+637159*x^5-246647*x^4+355028*x^3 +307624*x^2+191594*x+60540)*Tw(0,1,2)+Tw(0,2,2), -(3492*x^10-30581*x^9+88440*x^ 8-543507*x^7+164477*x^6+202441*x^5+36643*x^4+484041*x^3+234336*x^2+73338*x+ 59300)/(6660*x^10+46032*x^9-51954*x^8+297279*x^7-471354*x^6+637159*x^5-246647*x ^4+355028*x^3+307624*x^2+191594*x+60540)*Tw(0,0,0)-(17932*x^10+27767*x^9+235598 *x^8-226686*x^7+879683*x^6-226490*x^5+601895*x^4+59386*x^3-124691*x^2-19797*x-\ 30940)/(6660*x^10+46032*x^9-51954*x^8+297279*x^7-471354*x^6+637159*x^5-246647*x ^4+355028*x^3+307624*x^2+191594*x+60540)*Tw(1,0,0)-(11436*x^10+76868*x^9+200218 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*x^8+283960*x^7+186442*x^6-349628*x^5-118662*x^4-404488*x^3-317021*x^2-107944*x -28668)/(6660*x^10+46032*x^9-51954*x^8+297279*x^7-471354*x^6+637159*x^5-246647* x^4+355028*x^3+307624*x^2+191594*x+60540)*Tw(2,1,1)+(852*x^10+44266*x^9+21905*x ^8+437764*x^7-348462*x^6-1607*x^5-366567*x^4-362725*x^3-318036*x^2-161987*x-\ 82400)/(6660*x^10+46032*x^9-51954*x^8+297279*x^7-471354*x^6+637159*x^5-246647*x ^4+355028*x^3+307624*x^2+191594*x+60540)*Tw(0,2,1)-(3040*x^10-22496*x^9+96152*x ^8-277733*x^7-595353*x^6+444727*x^5-203189*x^4+102774*x^3+497525*x^2+166423*x+ 57124)/(6660*x^10+46032*x^9-51954*x^8+297279*x^7-471354*x^6+637159*x^5-246647*x ^4+355028*x^3+307624*x^2+191594*x+60540)*Tw(1,2,1)-(8108*x^10+57755*x^9-25467*x ^8+146424*x^7-232089*x^6-205838*x^5-139252*x^4-88366*x^3-217019*x^2-10382*x+ 16756)/(6660*x^10+46032*x^9-51954*x^8+297279*x^7-471354*x^6+637159*x^5-246647*x ^4+355028*x^3+307624*x^2+191594*x+60540)*Tw(2,2,1)+(20036*x^10+58635*x^9+230707 *x^8+121340*x^7-40998*x^6-364587*x^5+176722*x^4-532175*x^3-40749*x^2+6326*x+ 44452)/(6660*x^10+46032*x^9-51954*x^8+297279*x^7-471354*x^6+637159*x^5-246647*x ^4+355028*x^3+307624*x^2+191594*x+60540)*Tw(0,0,2)+(2888*x^10+52996*x^9-121683* x^8+637281*x^7+245201*x^6+789668*x^5+234722*x^4+633170*x^3+41005*x^2-3660*x+ 4312)/(6660*x^10+46032*x^9-51954*x^8+297279*x^7-471354*x^6+637159*x^5-246647*x^ 4+355028*x^3+307624*x^2+191594*x+60540)*Tw(1,0,2)+(1444*x^10+63401*x^9+8178*x^8 +389942*x^7-118369*x^6+200618*x^5-377869*x^4+97564*x^3-282299*x^2-25539*x-4592) /(6660*x^10+46032*x^9-51954*x^8+297279*x^7-471354*x^6+637159*x^5-246647*x^4+ 355028*x^3+307624*x^2+191594*x+60540)*Tw(2,0,2)-(23312*x^10+74483*x^9+223166*x^ 8+49496*x^7-235834*x^6+36905*x^5-321444*x^4-227358*x^3+5015*x^2-13400*x+4520)/( 6660*x^10+46032*x^9-51954*x^8+297279*x^7-471354*x^6+637159*x^5-246647*x^4+ 355028*x^3+307624*x^2+191594*x+60540)*Tw(0,1,2)+Tw(1,2,2), -(25164*x^10-69714*x ^9+16314*x^8+324435*x^7-582312*x^6-100143*x^5+657412*x^4-128374*x^3+388592*x^2+ 41034*x-21700)/(6660*x^10+46032*x^9-51954*x^8+297279*x^7-471354*x^6+637159*x^5-\ 246647*x^4+355028*x^3+307624*x^2+191594*x+60540)*Tw(0,0,0)-(46944*x^10-127638*x ^9+307080*x^8-115266*x^7+1695*x^6+438855*x^5-52757*x^4+552359*x^3+63911*x^2-\ 66320*x-26860)/(6660*x^10+46032*x^9-51954*x^8+297279*x^7-471354*x^6+637159*x^5-\ 246647*x^4+355028*x^3+307624*x^2+191594*x+60540)*Tw(1,0,0)-(15192*x^10-15924*x^ 9-12732*x^8+85272*x^7+317967*x^6+142300*x^5-675368*x^4+83699*x^3-33263*x^2-\ 10358*x-14120)/(6660*x^10+46032*x^9-51954*x^8+297279*x^7-471354*x^6+637159*x^5-\ 246647*x^4+355028*x^3+307624*x^2+191594*x+60540)*Tw(2,0,0)+(11448*x^10-22626*x^ 9+180798*x^8-423426*x^7+1171968*x^6-1133769*x^5+662776*x^4-289806*x^3+448038*x^ 2-24608*x-11656)/(6660*x^10+46032*x^9-51954*x^8+297279*x^7-471354*x^6+637159*x^ 5-246647*x^4+355028*x^3+307624*x^2+191594*x+60540)*Tw(0,1,0)+(7056*x^10+60744*x ^9-266676*x^8+590400*x^7-895596*x^6+507971*x^5+300246*x^4+77983*x^3-444022*x^2-\ 177078*x-21012)/(6660*x^10+46032*x^9-51954*x^8+297279*x^7-471354*x^6+637159*x^5 -246647*x^4+355028*x^3+307624*x^2+191594*x+60540)*Tw(1,1,0)+(17640*x^10-65082*x ^9+121056*x^8-207948*x^7+214707*x^6+65089*x^5-116303*x^4+39090*x^3-242430*x^2-\ 3854*x+47396)/(6660*x^10+46032*x^9-51954*x^8+297279*x^7-471354*x^6+637159*x^5-\ 246647*x^4+355028*x^3+307624*x^2+191594*x+60540)*Tw(2,1,0)-2*(3240*x^10+29469*x ^9-31668*x^8+89553*x^7-135258*x^6-220585*x^5+362971*x^4+55478*x^3+305242*x^2+ 21898*x-17868)/(6660*x^10+46032*x^9-51954*x^8+297279*x^7-471354*x^6+637159*x^5-\ 246647*x^4+355028*x^3+307624*x^2+191594*x+60540)*Tw(0,2,0)-(33408*x^10-6534*x^9 -218730*x^8+594228*x^7-572841*x^6+359163*x^5-372714*x^4-236333*x^3-109962*x^2+ 127932*x+52072)/(6660*x^10+46032*x^9-51954*x^8+297279*x^7-471354*x^6+637159*x^5 -246647*x^4+355028*x^3+307624*x^2+191594*x+60540)*Tw(1,2,0)+(65124*x^10-169722* x^9+238098*x^8+151965*x^7-323427*x^6+286269*x^5+130622*x^4-318899*x^3+187279*x^ 2-165254*x-68960)/(6660*x^10+46032*x^9-51954*x^8+297279*x^7-471354*x^6+637159*x ^5-246647*x^4+355028*x^3+307624*x^2+191594*x+60540)*Tw(2,2,0)+(7380*x^10+70602* x^9-213198*x^8+325341*x^7-100959*x^6-380390*x^5+267893*x^4-69395*x^3-193389*x^2 -25218*x+11320)/(6660*x^10+46032*x^9-51954*x^8+297279*x^7-471354*x^6+637159*x^5 -246647*x^4+355028*x^3+307624*x^2+191594*x+60540)*Tw(0,0,1)-(31428*x^10-74838*x ^9-7662*x^8+150075*x^7-73608*x^6-178841*x^5-358291*x^4-194303*x^3-150846*x^2-\ 99574*x+12428)/(6660*x^10+46032*x^9-51954*x^8+297279*x^7-471354*x^6+637159*x^5-\ 246647*x^4+355028*x^3+307624*x^2+191594*x+60540)*Tw(1,0,1)+(26100*x^10-8838*x^9 -378*x^8+244989*x^7-452649*x^6+245967*x^5-352211*x^4+650509*x^3+93576*x^2+ 190196*x+46848)/(6660*x^10+46032*x^9-51954*x^8+297279*x^7-471354*x^6+637159*x^5 -246647*x^4+355028*x^3+307624*x^2+191594*x+60540)*Tw(2,0,1)+(7164*x^10-98700*x^ 9+188736*x^8-213765*x^7+498513*x^6-446563*x^5+322553*x^4-200471*x^3+202793*x^2+ 84746*x+40552)/(6660*x^10+46032*x^9-51954*x^8+297279*x^7-471354*x^6+637159*x^5-\ 246647*x^4+355028*x^3+307624*x^2+191594*x+60540)*Tw(0,1,1)-(4104*x^10-34548*x^9 +212484*x^8-349002*x^7+530106*x^6-158815*x^5-52427*x^4+203093*x^3+90485*x^2+ 225478*x+63680)/(6660*x^10+46032*x^9-51954*x^8+297279*x^7-471354*x^6+637159*x^5 -246647*x^4+355028*x^3+307624*x^2+191594*x+60540)*Tw(1,1,1)-(35460*x^10-66192*x ^9+115134*x^8-113685*x^7+537123*x^6-3064*x^5-431200*x^4-137223*x^3-131230*x^2-\ 82760*x-23424)/(6660*x^10+46032*x^9-51954*x^8+297279*x^7-471354*x^6+637159*x^5-\ 246647*x^4+355028*x^3+307624*x^2+191594*x+60540)*Tw(2,1,1)-(10476*x^10-48528*x^ 9+87288*x^8+39717*x^7-488187*x^6+244350*x^5+336619*x^4+21730*x^3+264453*x^2-\ 70070*x-10960)/(6660*x^10+46032*x^9-51954*x^8+297279*x^7-471354*x^6+637159*x^5-\ 246647*x^4+355028*x^3+307624*x^2+191594*x+60540)*Tw(0,2,1)-(34380*x^10+35268*x^ 9-211530*x^8+664725*x^7-567771*x^6-326894*x^5+634765*x^4+284039*x^3+258585*x^2+ 244148*x+109732)/(6660*x^10+46032*x^9-51954*x^8+297279*x^7-471354*x^6+637159*x^ 5-246647*x^4+355028*x^3+307624*x^2+191594*x+60540)*Tw(1,2,1)+(1764*x^10+25458*x ^9-99984*x^8+55515*x^7-74568*x^6-105332*x^5+560326*x^4-199993*x^3-261912*x^2+ 11924*x+27632)/(6660*x^10+46032*x^9-51954*x^8+297279*x^7-471354*x^6+637159*x^5-\ 246647*x^4+355028*x^3+307624*x^2+191594*x+60540)*Tw(2,2,1)+(44712*x^10-84486*x^ 9+199878*x^8-300528*x^7+957693*x^6-959225*x^5+306170*x^4-27359*x^3+28356*x^2-\ 170470*x-15164)/(6660*x^10+46032*x^9-51954*x^8+297279*x^7-471354*x^6+637159*x^5 -246647*x^4+355028*x^3+307624*x^2+191594*x+60540)*Tw(0,0,2)-(28944*x^10+24564*x ^9-245970*x^8+737472*x^7-964815*x^6+258710*x^5-387982*x^4+263573*x^3-49954*x^2+ 51564*x+81944)/(6660*x^10+46032*x^9-51954*x^8+297279*x^7-471354*x^6+637159*x^5-\ 246647*x^4+355028*x^3+307624*x^2+191594*x+60540)*Tw(1,0,2)-(21132*x^10-8142*x^9 +86634*x^8-42273*x^7-8397*x^6-255982*x^5+513552*x^4+351601*x^3+248011*x^2+ 212506*x+104576)/(6660*x^10+46032*x^9-51954*x^8+297279*x^7-471354*x^6+637159*x^ 5-246647*x^4+355028*x^3+307624*x^2+191594*x+60540)*Tw(2,0,2)-(49644*x^10-96738* x^9+147846*x^8+29271*x^7+300132*x^6-459958*x^5+220148*x^4-99919*x^3-22774*x^2+ 38800*x+18560)/(6660*x^10+46032*x^9-51954*x^8+297279*x^7-471354*x^6+637159*x^5-\ 246647*x^4+355028*x^3+307624*x^2+191594*x+60540)*Tw(0,1,2)+Tw(2,2,2)] # Leading monomials: [Tw(1,1,2), Tw(2,1,2), Tw(0,2,2), Tw(1,2,2), Tw(2,2,2)] # Time by Buchberger, Time by F4, Speedup by F4: 0.53, 0.06, 8.33 # Example 38, 5 polynomials of the same degree 4 with random coefficients in k[x]_(<= 2) # Input generating set: [(9*x^2+3*x-9)*Tw(2,1,1,1)+(x^2-9*x+7)*Tw(2,1,1,2)+(8*x^2+x+4)*Tw(2,1,2,0)+(-8* x^2+4*x+8)*Tw(2,1,2,1)+(7*x^2-7*x-7)*Tw(2,1,2,2)+(x^2-7*x+8)*Tw(2,2,0,0)+(-3*x^ 2+7*x+9)*Tw(2,2,0,1)+(x^2-x+9)*Tw(2,2,0,2)+(3*x^2-5*x+5)*Tw(1,1,1,2)+(8*x^2+4*x +9)*Tw(1,1,2,0)+(x^2+3*x-2)*Tw(1,1,2,1)+(x^2-9*x-5)*Tw(1,1,2,2)+(-9*x^2+2*x-6)* Tw(1,2,0,0)+(3*x^2+6*x+1)*Tw(1,2,0,1)+(-7*x^2-7*x+1)*Tw(1,2,0,2)+(3*x^2+3*x+4)* Tw(1,2,1,0)+(-3*x^2-7*x+5)*Tw(1,2,1,1)+(-4*x^2-8*x-6)*Tw(1,2,1,2)+(8*x^2-8*x-3) *Tw(2,1,1,0)+(-8*x^2+5*x-3)*Tw(2,2,2,0)+(-5*x^2-5*x+2)*Tw(2,2,2,1)+(2*x^2-3*x+8 )*Tw(2,2,2,2)+(-7*x^2+9*x-5)*Tw(2,0,1,1)+(-4*x^2+5*x-2)*Tw(2,0,1,2)+(9*x^2+3*x+ 6)*Tw(2,0,2,0)+(-4+x)*Tw(2,0,2,1)+(3*x^2+8*x+4)*Tw(2,0,2,2)+(6*x^2+5*x-8)*Tw(2, 1,0,0)+(-9+x)*Tw(2,1,0,1)+(8*x^2-2*x-3)*Tw(2,1,0,2)+(-4*x^2-3*x+6)*Tw(0,1,0,0)+ (5*x^2+3*x+5)*Tw(0,1,0,1)+(2*x^2+x-3)*Tw(0,1,0,2)+(4*x^2+x+6)*Tw(0,1,1,0)+(-8*x ^2-9*x+3)*Tw(0,1,1,1)+(6*x^2-5*x-9)*Tw(0,1,1,2)+(7*x^2+3*x+2)*Tw(0,1,2,0)+(2*x^ 2-x+6)*Tw(0,1,2,1)+(-8*x^2+8*x-4)*Tw(0,1,2,2)+(-3*x^2-9*x+5)*Tw(0,2,0,0)+(-3*x^ 2-9*x-8)*Tw(0,2,0,1)+(4*x^2-9*x+7)*Tw(0,2,0,2)+(-9*x^2+3*x-7)*Tw(0,2,1,0)+(6*x^ 2+7*x+5)*Tw(0,2,1,1)+(5*x^2+x+2)*Tw(0,2,1,2)+(-6*x^2-3*x-8)*Tw(0,0,0,0)+(5*x^2+ 3*x-1)*Tw(0,0,0,1)+(8*x^2+9*x-3)*Tw(0,0,0,2)+(9*x^2+4*x+8)*Tw(0,0,1,0)+(-9*x^2-\ 3*x+3)*Tw(0,0,1,1)+(7*x^2+2*x-6)*Tw(0,0,1,2)+(3*x^2-6*x-7)*Tw(0,0,2,0)+(-9*x^2-\ 8*x-1)*Tw(2,2,1,0)+(-8*x^2+9*x+4)*Tw(2,2,1,1)+(-4*x^2-9*x)*Tw(2,2,1,2)+(2*x^2+4 *x-9)*Tw(0,0,2,1)+(-x^2+5*x+6)*Tw(1,1,1,1)+(-4*x^2-6*x+9)*Tw(1,1,1,0)+(2*x^2+7* x-7)*Tw(1,1,0,2)+(-2*x^2-4*x+8)*Tw(1,1,0,1)+(2*x^2+4*x-7)*Tw(1,2,2,0)+(-6*x^2+6 *x-5)*Tw(1,2,2,1)+(-8*x^2+x-5)*Tw(1,2,2,2)+(6*x^2-7*x-5)*Tw(2,0,0,0)+(-4*x^2-3* x+8)*Tw(2,0,0,1)+(-9*x^2-9*x-3)*Tw(2,0,0,2)+(-8*x^2+6*x-6)*Tw(2,0,1,0)+(5*x^2-x -4)*Tw(0,2,2,0)+(7*x^2+8*x)*Tw(0,2,2,1)+(-6*x^2-3*x+5)*Tw(0,2,2,2)+(-x^2+4*x-9) *Tw(1,0,0,0)+(7*x^2+7*x-7)*Tw(1,0,0,1)+(-4*x^2-4*x+9)*Tw(1,0,0,2)+(3*x^2-3*x+4) *Tw(1,0,1,0)+(-x^2-9*x+8)*Tw(1,0,1,1)+(5*x^2+8*x+1)*Tw(1,0,1,2)+(-9*x^2-3*x-1)* Tw(1,0,2,0)+(-9*x^2-x-7)*Tw(1,0,2,1)+(6*x^2+5*x+4)*Tw(1,0,2,2)+(-8*x^2+5*x-5)* Tw(1,1,0,0)+2*x^2*Tw(0,0,2,2), (8*x^2+2*x)*Tw(1,0,2,1)+(6*x^2-1)*Tw(1,0,2,2)+(-\ 3*x^2-x-2)*Tw(1,1,0,0)+(-6*x^2+8*x-6)*Tw(1,1,0,1)+(6+4*x)*Tw(1,1,0,2)+(x^2-9*x-\ 9)*Tw(1,1,1,0)+(5*x^2+2*x-7)*Tw(1,1,1,1)+(x^2+9*x+1)*Tw(1,1,1,2)+(-4*x^2+8*x+4) *Tw(1,1,2,0)+(5*x^2-4*x-8)*Tw(1,2,1,1)+(-x^2+5*x+2)*Tw(1,2,1,2)+(-8*x^2+3*x-2)* Tw(1,2,2,0)+(5*x^2-x)*Tw(1,2,2,1)+(-5*x^2-7*x-2)*Tw(1,2,2,2)+(4*x^2-8*x+5)*Tw(2 ,0,0,0)+(-2*x^2-5*x-7)*Tw(2,0,0,1)+(-8*x^2-9*x+6)*Tw(2,0,0,2)+(7*x^2+3*x+4)*Tw( 2,0,1,0)+(-4*x^2+6*x-4)*Tw(2,0,1,1)+(6*x^2+9*x-1)*Tw(2,0,1,2)+(7*x^2+4*x-4)*Tw( 2,0,2,0)+(-2*x^2-7*x-9)*Tw(1,0,0,0)+(-2*x^2+4*x-1)*Tw(1,0,0,1)+(x^2+x-1)*Tw(1,0 ,0,2)+(5*x^2+9*x-9)*Tw(1,0,1,0)+(7*x^2+8*x-7)*Tw(1,0,1,1)+(8*x^2-6*x-1)*Tw(1,0, 1,2)+(x^2-x+2)*Tw(1,0,2,0)+(9*x^2+6*x)*Tw(0,0,2,2)+(2*x^2+8*x-7)*Tw(0,1,0,0)+(- x^2+x+3)*Tw(2,2,2,0)+(-3*x^2+3*x-3)*Tw(2,2,2,1)+(-6*x^2-9*x-6)*Tw(2,2,2,2)+(8*x ^2-3*x)*Tw(2,0,2,1)+(8*x^2-7*x-9)*Tw(2,0,2,2)+(3*x^2-x+3)*Tw(2,1,0,0)+(-6*x^2-x -2)*Tw(2,1,0,1)+(5*x^2+9*x+4)*Tw(2,1,0,2)+(-x^2+8*x+5)*Tw(2,1,1,0)+(x^2+4*x-4)* Tw(2,1,1,1)+(8*x^2+9*x-7)*Tw(2,1,1,2)+(3*x^2-6*x+9)*Tw(2,1,2,0)+(9*x^2-4*x+5)* Tw(2,1,2,1)+(2*x^2-9*x-2)*Tw(2,1,2,2)+(-6*x^2+9*x-8)*Tw(2,2,0,0)+(4*x^2+x+9)*Tw (2,2,0,1)+(-3*x^2-8*x+3)*Tw(2,2,0,2)+(1-2*x)*Tw(2,2,1,0)+(-4*x^2+7*x-9)*Tw(2,2, 1,1)+(-5*x^2-x+2)*Tw(2,2,1,2)+(-2*x^2+x+5)*Tw(1,1,2,2)+(2*x^2+9*x-4)*Tw(1,2,0,0 )+(-9*x^2+3*x-7)*Tw(1,2,0,1)+(-x^2+5*x)*Tw(1,2,0,2)+(-4*x^2+8*x-6)*Tw(1,2,1,0)+ (-3*x^2-8*x-7)*Tw(1,1,2,1)+(-7*x^2-7*x+5)*Tw(0,1,0,1)+(4*x^2+3*x-1)*Tw(0,1,0,2) +(-3*x^2+9*x+2)*Tw(0,1,1,0)+(3*x^2-4*x-1)*Tw(0,1,1,1)+(-7*x^2+9*x)*Tw(0,1,1,2)+ (2*x^2+4*x-7)*Tw(0,1,2,0)+(-6*x^2+6*x+8)*Tw(0,1,2,1)+(8*x^2+x-3)*Tw(0,1,2,2)+(2 *x^2+9*x+4)*Tw(0,2,0,0)+(2*x^2-8*x-5)*Tw(0,2,0,1)+(3*x^2+7*x+4)*Tw(0,2,0,2)+(4* x^2+3*x-7)*Tw(0,2,1,0)+(-7*x^2+7*x-3)*Tw(0,2,1,1)+(-2*x^2-5*x-5)*Tw(0,2,1,2)+(3 *x^2-7*x+4)*Tw(0,2,2,0)+(-5*x^2-9*x-7)*Tw(0,2,2,1)+(8*x^2+7*x-8)*Tw(0,2,2,2)+(6 *x^2-6*x+8)*Tw(0,0,0,0)+(-2*x^2+9*x+2)*Tw(0,0,0,1)+(2*x^2-3*x-6)*Tw(0,0,0,2)+(6 *x^2-2*x-1)*Tw(0,0,1,0)+(-3*x^2+x-3)*Tw(0,0,1,1)+(5*x^2-7)*Tw(0,0,1,2)+(-5*x^2+ 7*x-3)*Tw(0,0,2,0)+(4*x^2+3*x-3)*Tw(0,0,2,1), (6*x^2+8*x+3)*Tw(0,0,1,2)+(-8*x^2 +x+9)*Tw(0,0,2,0)+(-x^2-7*x+4)*Tw(0,0,2,1)+(x^2-9*x-8)*Tw(0,0,2,2)+(-2*x^2-7*x-\ 1)*Tw(0,1,0,0)+(8*x^2-6*x-1)*Tw(0,1,0,1)+(x^2-8*x-5)*Tw(0,1,0,2)+(7*x^2+8*x-2)* Tw(0,1,1,0)+(x^2-6*x-9)*Tw(1,2,1,2)+(x^2-2*x-7)*Tw(1,2,2,0)+(9*x^2+5*x+9)*Tw(1, 2,2,1)+(8*x^2-3*x+5)*Tw(1,2,2,2)+(-9*x^2-5*x+6)*Tw(2,0,0,0)+(9*x^2+9*x-1)*Tw(2, 0,0,1)+(-4+8*x)*Tw(2,0,0,2)+(9*x^2+8*x-9)*Tw(2,0,1,0)+(3*x^2-8*x-1)*Tw(2,0,1,1) +(-2*x^2+3*x-7)*Tw(2,0,1,2)+(7*x^2+6*x-3)*Tw(2,0,2,0)+(-3*x^2+4*x+9)*Tw(2,0,2,1 )+(9*x^2-4*x+7)*Tw(2,0,2,2)+(-6*x^2-5)*Tw(2,1,0,0)+(4*x^2+7*x+3)*Tw(1,0,1,0)+(-\ 2*x^2+x+9)*Tw(1,0,1,1)+(3*x^2+6*x-3)*Tw(1,0,1,2)+(-7*x^2+2*x)*Tw(1,0,2,0)+(-3-8 *x)*Tw(1,0,2,1)+(5*x^2-x+2)*Tw(1,0,0,1)+(4-5*x)*Tw(1,0,0,2)+(-2*x^2+8*x+6)*Tw(0 ,0,0,0)+(-5*x^2-5*x-9)*Tw(0,0,0,1)+(-2*x^2+8*x+6)*Tw(0,0,0,2)+(7*x^2+9*x+9)*Tw( 0,0,1,0)+(-8*x^2+7*x)*Tw(0,0,1,1)+(8*x^2-6*x+7)*Tw(1,0,2,2)+(-2*x^2+4*x+2)*Tw(1 ,1,0,0)+(3*x^2-8*x-9)*Tw(1,1,0,1)+(9*x^2+7*x-3)*Tw(1,1,0,2)+(-8*x^2+9*x-3)*Tw(1 ,1,1,0)+(-3*x^2-3*x-5)*Tw(1,1,1,1)+(7*x^2+6*x-2)*Tw(1,1,1,2)+(4*x^2+7*x-9)*Tw(1 ,1,2,0)+(-2*x^2-6*x+9)*Tw(1,1,2,1)+(6*x^2+x-6)*Tw(1,1,2,2)+(-9+x)*Tw(2,2,2,2)+( -6*x^2-2*x+3)*Tw(2,1,0,1)+(-5*x^2-8*x-4)*Tw(2,1,0,2)+(5*x^2-4*x+3)*Tw(2,1,1,0)+ (8*x^2+x-7)*Tw(2,1,1,1)+(2*x^2-4*x+9)*Tw(2,1,1,2)+(-x^2+5*x+1)*Tw(2,1,2,0)+(x^2 +9*x+5)*Tw(2,1,2,1)+(-x^2+3*x-8)*Tw(2,1,2,2)+(3*x^2-x+2)*Tw(2,2,0,0)+(6*x^2+8)* Tw(2,2,0,1)+(4*x^2+7*x-5)*Tw(2,2,0,2)+(-6*x^2+5*x+3)*Tw(2,2,1,0)+(x^2+4)*Tw(2,2 ,1,1)+(-7*x^2-5*x-6)*Tw(2,2,1,2)+(-9*x^2+4*x-8)*Tw(2,2,2,0)+(6*x^2+6*x+8)*Tw(2, 2,2,1)+(-4*x^2+8*x+1)*Tw(1,2,0,2)+(-x^2+4*x-1)*Tw(1,2,1,0)+(-7*x^2+4*x+3)*Tw(1, 2,1,1)+(-9+x)*Tw(1,2,0,0)+(-6*x^2+6*x+4)*Tw(1,2,0,1)+(-6*x^2-9*x+7)*Tw(0,1,1,1) +(-5*x^2-9*x-9)*Tw(0,1,1,2)+(9*x^2-3*x+6)*Tw(0,1,2,0)+(-5*x^2+x-7)*Tw(0,1,2,1)+ (-3*x^2-8*x-7)*Tw(0,1,2,2)+(9*x^2-x+7)*Tw(0,2,0,0)+(-8*x^2+6*x-2)*Tw(0,2,0,1)+( -6*x^2+6*x+9)*Tw(0,2,0,2)+(-2*x^2-3*x-1)*Tw(0,2,1,0)+(x^2+4*x)*Tw(0,2,1,1)+(9*x ^2+8*x-4)*Tw(0,2,1,2)+(-4*x^2-x-9)*Tw(0,2,2,0)+(7*x^2+5*x-2)*Tw(0,2,2,1)+(7*x^2 -8*x-1)*Tw(0,2,2,2)+(8*x^2-3*x+1)*Tw(1,0,0,0), (-7*x^2+7*x-4)*Tw(1,2,0,0)+(3*x^ 2+6*x-8)*Tw(1,2,0,1)+(x^2-5*x-2)*Tw(1,2,0,2)+(-2*x^2+4)*Tw(1,2,1,0)+(6*x^2+4*x-\ 2)*Tw(1,2,1,1)+(-5*x^2+2*x+8)*Tw(0,1,2,1)+(6*x^2+3*x+9)*Tw(0,1,2,2)+(-x^2-8*x)* Tw(0,2,0,0)+(6*x^2-x-4)*Tw(0,2,0,1)+(-6*x^2-2*x+7)*Tw(0,2,0,2)+(-5*x^2-8*x)*Tw( 0,2,1,0)+(-4*x^2+x+4)*Tw(0,2,1,1)+(5*x^2+1)*Tw(0,2,1,2)+(-6*x^2-7*x+5)*Tw(0,2,2 ,0)+(4*x^2-3*x-6)*Tw(0,2,2,1)+(-4*x^2-5*x-5)*Tw(0,2,2,2)+(3*x^2-4*x-3)*Tw(1,0,0 ,0)+(-4*x^2+7*x+5)*Tw(1,0,0,1)+(-4*x^2+5*x-9)*Tw(1,0,0,2)+(7*x^2+6*x+3)*Tw(1,0, 1,0)+(-x^2+8*x-8)*Tw(1,0,1,1)+(-8*x^2-x-3)*Tw(1,0,1,2)+(7*x^2-x+2)*Tw(0,0,0,0)+ (-8*x^2-5*x-7)*Tw(0,0,0,1)+(9*x^2+7*x+6)*Tw(0,0,0,2)+(-2*x^2-3*x+2)*Tw(0,0,1,0) +(7*x^2-9*x)*Tw(0,0,1,1)+(-4*x^2-5*x-4)*Tw(0,0,1,2)+(-x^2-1)*Tw(0,0,2,0)+(9*x^2 +5*x-5)*Tw(0,0,2,1)+(-2-4*x)*Tw(0,0,2,2)+(4*x^2+4*x+9)*Tw(0,1,0,0)+(-6*x^2+9*x-\ 4)*Tw(0,1,0,1)+(4*x^2-3*x-6)*Tw(0,1,0,2)+(-5*x^2-2*x-7)*Tw(0,1,1,0)+(6*x^2-7*x+ 4)*Tw(0,1,1,1)+(-x^2-2*x-1)*Tw(0,1,1,2)+(6*x^2+7)*Tw(0,1,2,0)+(7*x^2-3*x-3)*Tw( 2,1,1,1)+(-3*x^2+6*x+6)*Tw(2,1,1,2)+(x^2+4*x-8)*Tw(2,1,2,0)+(2*x^2-2*x+2)*Tw(2, 1,2,1)+(3*x^2-3*x-2)*Tw(2,1,2,2)+(-7*x^2+4*x)*Tw(2,2,0,0)+(3*x^2-2*x+8)*Tw(2,2, 0,1)+(-6*x^2-4*x-8)*Tw(2,2,0,2)+(2*x^2+7*x-5)*Tw(2,2,1,0)+(x^2+8*x-7)*Tw(2,2,1, 1)+(-7*x^2-6*x+2)*Tw(2,2,1,2)+(x^2-9*x+2)*Tw(2,2,2,0)+(7*x^2-9*x+1)*Tw(2,2,2,1) +(-4*x^2-x)*Tw(2,2,2,2)+(-8-6*x)*Tw(1,2,1,2)+(-5*x^2+5*x-7)*Tw(1,2,2,0)+(-6*x^2 -8*x-5)*Tw(1,2,2,1)+(7*x^2-9*x+4)*Tw(1,2,2,2)+(-9*x^2-7*x)*Tw(2,0,0,0)+(-2*x^2+ 5*x-7)*Tw(2,0,0,1)+(x^2+5*x-7)*Tw(2,0,0,2)+(x^2-3*x+2)*Tw(2,0,1,0)+(9*x^2+6*x-9 )*Tw(2,0,1,1)+(-2*x^2-6*x+1)*Tw(2,0,1,2)+(-x^2+4*x-1)*Tw(2,0,2,0)+(-6*x^2+9*x+2 )*Tw(2,0,2,1)+(4*x^2-2*x-3)*Tw(2,0,2,2)+(3*x^2-4*x+2)*Tw(2,1,0,0)+(4*x^2-4*x+4) *Tw(2,1,0,1)+(9*x^2+8*x-3)*Tw(2,1,0,2)+(9*x^2+8*x-4)*Tw(2,1,1,0)+(4*x^2-3*x+3)* Tw(1,0,2,0)+(9*x^2-7*x-3)*Tw(1,0,2,1)+(2*x^2+8*x+2)*Tw(1,0,2,2)+(5*x^2-5*x+1)* Tw(1,1,0,0)+(-6*x^2-6*x-8)*Tw(1,1,0,1)+(3*x^2+9*x+6)*Tw(1,1,0,2)+(-7*x^2-2*x+1) *Tw(1,1,1,0)+(-6*x^2-9*x-5)*Tw(1,1,1,1)+(9*x^2-5*x-7)*Tw(1,1,1,2)+(-7*x^2+4*x)* Tw(1,1,2,0)+(2*x^2-4*x-1)*Tw(1,1,2,1)+(-9*x^2+5*x+6)*Tw(1,1,2,2), (-2*x^2+x-8)* Tw(0,1,1,0)+(5*x^2-6*x+7)*Tw(0,1,1,1)+(-4*x^2+9*x+2)*Tw(0,1,1,2)+(-3*x^2+7*x+2) *Tw(0,1,2,0)+(-8*x^2+6*x-2)*Tw(0,1,2,1)+(9*x^2-3*x)*Tw(0,1,2,2)+(-3*x^2+3*x-4)* Tw(0,2,0,0)+(-4*x^2+x-3)*Tw(0,0,0,0)+(6*x^2-3*x-9)*Tw(0,0,0,1)+(2*x^2+8*x+8)*Tw (0,2,0,1)+(9-9*x)*Tw(0,2,0,2)+(6*x^2-3*x-1)*Tw(0,2,1,0)+(-5*x^2+6*x+6)*Tw(0,2,1 ,1)+(4*x^2-5*x+6)*Tw(0,2,1,2)+(-4*x^2+9*x+6)*Tw(0,2,2,0)+(-6*x^2-5*x-7)*Tw(0,2, 2,1)+(-4*x^2-x-6)*Tw(0,2,2,2)+(-3*x^2+x-7)*Tw(1,1,2,0)+(x^2-5*x-4)*Tw(1,1,2,1)+ (4*x^2+7*x+8)*Tw(1,1,2,2)+(-7*x^2-5*x-3)*Tw(1,2,0,0)+(3*x^2+3*x-3)*Tw(1,2,0,1)+ (-7*x^2-8*x-2)*Tw(1,2,0,2)+(-x^2+6*x-1)*Tw(1,2,1,0)+(-6*x^2+7*x+4)*Tw(1,0,0,0)+ (-9*x^2+2*x+9)*Tw(1,0,0,1)+(-6*x^2-7*x-4)*Tw(1,0,0,2)+(9*x^2+4*x+4)*Tw(1,0,1,0) +(3*x^2-3)*Tw(1,0,1,1)+(3*x^2+4*x-9)*Tw(1,0,1,2)+(-5*x^2-4*x-3)*Tw(1,0,2,0)+(-x ^2-7*x-7)*Tw(1,0,2,1)+(2*x^2+3*x+2)*Tw(1,0,2,2)+(-9*x^2-2*x-4)*Tw(1,1,0,0)+(-6* x^2+6*x-5)*Tw(1,1,0,1)+(3*x^2+7*x)*Tw(1,1,0,2)+(3*x^2-3*x-2)*Tw(1,1,1,0)+(-2*x^ 2+2*x+5)*Tw(1,1,1,1)+(-2*x^2-6*x+2)*Tw(1,1,1,2)+(-7*x^2+5*x-6)*Tw(1,2,1,1)+(4*x ^2-6*x-1)*Tw(1,2,1,2)+(-6*x^2+7*x+7)*Tw(1,2,2,0)+(-4*x^2-5*x-4)*Tw(1,2,2,1)+(6* x^2-2*x-3)*Tw(1,2,2,2)+(-6*x^2-4*x-7)*Tw(2,0,0,0)+(-3*x^2+8*x-7)*Tw(2,0,0,1)+(-\ 2*x^2+2*x+7)*Tw(2,0,0,2)+(-x^2+6*x-5)*Tw(2,0,1,0)+(-8*x^2+5*x+2)*Tw(2,0,1,1)+(-\ 7*x^2+2*x-2)*Tw(2,0,1,2)+(9*x^2-5*x-1)*Tw(2,0,2,0)+(5-7*x)*Tw(2,0,2,1)+(-2*x^2-\ 5*x+3)*Tw(2,0,2,2)+(-2+2*x)*Tw(2,1,0,0)+(7*x^2+4*x-5)*Tw(2,1,0,1)+(3*x^2+9*x-6) *Tw(2,1,0,2)+(2*x^2+1)*Tw(2,1,1,0)+(-3*x^2+4*x+8)*Tw(2,1,1,1)+(x^2-2*x+1)*Tw(2, 1,1,2)+(-9*x^2-5*x+4)*Tw(2,1,2,0)+(-3*x^2-7*x-2)*Tw(2,1,2,1)+(-3*x^2-5*x-6)*Tw( 2,1,2,2)+(-5*x^2+6*x-2)*Tw(2,2,0,0)+(-3*x^2+7*x+1)*Tw(2,2,0,1)+(x^2+7*x+3)*Tw(2 ,2,0,2)+(8*x^2-x-7)*Tw(2,2,1,0)+(5*x^2+6*x-7)*Tw(2,2,1,1)+(8*x^2-3*x+6)*Tw(2,2, 1,2)+(-2*x^2+3*x-3)*Tw(2,2,2,0)+(6*x^2+7*x-3)*Tw(2,2,2,1)+(-x^2-3*x+4)*Tw(2,2,2 ,2)+(-3*x^2+7*x-5)*Tw(0,0,0,2)+(9*x^2-5*x+7)*Tw(0,0,1,0)+(x^2-5*x+9)*Tw(0,0,1,1 )+(6*x^2+5*x-6)*Tw(0,0,1,2)+(4*x^2+x+3)*Tw(0,0,2,0)+(-x^2+7*x+5)*Tw(0,0,2,1)+(7 *x^2-5*x+3)*Tw(0,0,2,2)+(x^2+x-9)*Tw(0,1,0,0)+(7*x^2+x+9)*Tw(0,1,0,1)+(6*x^2+9* x)*Tw(0,1,0,2)] # Output Gröbner basis: [-(61659*x^10+62565*x^9-173938*x^8+4001*x^7+153072*x^6-159031*x^5-58171*x^4+ 39304*x^3-149388*x^2+107579*x-20970)/(68340*x^10+54232*x^9-155108*x^8-229109*x^ 7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+19685*x-9805)*Tw(0,0,0 ,0)-(32574*x^10-167918*x^9-145178*x^8+76204*x^7+147347*x^6-325696*x^5-122971*x^ 4+323877*x^3+253659*x^2-34699*x+141165)/(68340*x^10+54232*x^9-155108*x^8-229109 *x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+19685*x-9805)*Tw(1, 0,0,0)-(6755*x^10+94780*x^9+159338*x^8+165175*x^7-205254*x^6-143289*x^5-64378*x ^4+311720*x^3-243309*x^2+131545*x-37865)/(68340*x^10+54232*x^9-155108*x^8-\ 229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+19685*x-9805) *Tw(2,0,0,0)-(21762*x^10+86420*x^9+206817*x^8-72539*x^7+263700*x^6+174981*x^5+ 596634*x^4-408419*x^3-454003*x^2-157968*x-116885)/(68340*x^10+54232*x^9-155108* x^8-229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+19685*x-\ 9805)*Tw(0,1,0,0)-(114696*x^10-3923*x^9-164811*x^8-106211*x^7+397049*x^6-588173 *x^5-86572*x^4-275127*x^3+31443*x^2-43831*x+5220)/(68340*x^10+54232*x^9-155108* x^8-229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+19685*x-\ 9805)*Tw(1,1,0,0)+(3414*x^10+19307*x^9-55754*x^8-201473*x^7-151008*x^6+186410*x ^5-245904*x^4-110025*x^3-108686*x^2+44675*x+9925)/(68340*x^10+54232*x^9-155108* x^8-229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+19685*x-\ 9805)*Tw(2,1,0,0)+(2038*x^10+102795*x^9+23669*x^8+167437*x^7+108256*x^6+348546* x^5+72919*x^4-279280*x^3+158910*x^2-176559*x+61240)/(68340*x^10+54232*x^9-\ 155108*x^8-229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+ 19685*x-9805)*Tw(0,2,0,0)-(54576*x^10+73904*x^9-26643*x^8+24162*x^7+64721*x^6+ 208018*x^5+407259*x^4-333152*x^3+334614*x^2-204531*x+36660)/(68340*x^10+54232*x ^9-155108*x^8-229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2 +19685*x-9805)*Tw(1,2,0,0)-(12284*x^10-104507*x^9+118835*x^8-208973*x^7-54539*x ^6-272224*x^5+269768*x^4-56104*x^3-165991*x^2-2513*x-11440)/(68340*x^10+54232*x ^9-155108*x^8-229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2 +19685*x-9805)*Tw(2,2,0,0)+(130363*x^10+90923*x^9+237622*x^8+252532*x^7+786094* x^6+238290*x^5+738780*x^4-61172*x^3+79095*x^2-40523*x-19125)/(68340*x^10+54232* x^9-155108*x^8-229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^ 2+19685*x-9805)*Tw(0,0,1,0)+(70893*x^10+39086*x^9+19418*x^8+211476*x^7+40741*x^ 6-106339*x^5-93721*x^4+109462*x^3+63607*x^2+105000*x-41115)/(68340*x^10+54232*x ^9-155108*x^8-229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2 +19685*x-9805)*Tw(1,0,1,0)+(752*x^10+104417*x^9+184281*x^8-131948*x^7+154642*x^ 6+309399*x^5-610228*x^4+49329*x^3-214629*x^2+21145*x+54680)/(68340*x^10+54232*x ^9-155108*x^8-229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2 +19685*x-9805)*Tw(2,0,1,0)+(30300*x^10+187042*x^9+90079*x^8+288781*x^7+430552*x ^6+563486*x^5+154364*x^4+319687*x^3-81866*x^2-115526*x+59970)/(68340*x^10+54232 *x^9-155108*x^8-229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x ^2+19685*x-9805)*Tw(0,1,1,0)+(3800*x^10-174491*x^9-75937*x^8-51580*x^7+54779*x^ 6+117746*x^5-317315*x^4+236346*x^3+161868*x^2-41351*x+27395)/(68340*x^10+54232* x^9-155108*x^8-229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^ 2+19685*x-9805)*Tw(1,1,1,0)+(29184*x^10+72870*x^9-39607*x^8+230639*x^7-62059*x^ 6-524961*x^5+393272*x^4-94689*x^3+32010*x^2-21292*x-27585)/(68340*x^10+54232*x^ 9-155108*x^8-229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+ 19685*x-9805)*Tw(2,1,1,0)+(21716*x^10-138131*x^9-153425*x^8-290681*x^7-42474*x^ 6-117191*x^5-489166*x^4-85783*x^3-354713*x^2+124627*x-62665)/(68340*x^10+54232* x^9-155108*x^8-229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^ 2+19685*x-9805)*Tw(0,2,1,0)-(589*x^10-113661*x^9+54318*x^8-108938*x^7+22572*x^6 -542836*x^5+369256*x^4-149993*x^3-38561*x^2-76258*x-23810)/(68340*x^10+54232*x^ 9-155108*x^8-229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+ 19685*x-9805)*Tw(1,2,1,0)-(5567*x^10+232323*x^9+170581*x^8+27470*x^7+95457*x^6+ 591017*x^5+264042*x^4-399133*x^3-76682*x^2+87043*x-13815)/(68340*x^10+54232*x^9 -155108*x^8-229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+ 19685*x-9805)*Tw(2,2,1,0)+(6643*x^10-61136*x^9-241147*x^8+11287*x^7-179990*x^6-\ 21282*x^5-115844*x^4-193413*x^3-155855*x^2+27328*x-96665)/(68340*x^10+54232*x^9 -155108*x^8-229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+ 19685*x-9805)*Tw(0,0,2,0)-(95586*x^10+151207*x^9-19216*x^8+18043*x^7+483525*x^6 -99246*x^5+129061*x^4-143707*x^3-119474*x^2+2134*x-44690)/(68340*x^10+54232*x^9 -155108*x^8-229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+ 19685*x-9805)*Tw(1,0,2,0)+(129591*x^10+67758*x^9+99811*x^8+214124*x^7+664951*x^ 6-149883*x^5+249116*x^4+306226*x^3+6091*x^2+83199*x+17820)/(68340*x^10+54232*x^ 9-155108*x^8-229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+ 19685*x-9805)*Tw(2,0,2,0)+(19689*x^10+225307*x^9+124882*x^8+217862*x^7+79349*x^ 6+435957*x^5+161882*x^4-130896*x^3+259557*x^2+89596*x-8555)/(68340*x^10+54232*x ^9-155108*x^8-229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2 +19685*x-9805)*Tw(0,1,2,0)+(34203*x^10+187044*x^9+51694*x^8+246501*x^7+497469*x ^6+454490*x^5-161251*x^4+435518*x^3+88701*x^2-6395*x+134710)/(68340*x^10+54232* x^9-155108*x^8-229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^ 2+19685*x-9805)*Tw(1,1,2,0)-(26832*x^10-59020*x^9-325391*x^8-205086*x^7-112887* x^6-120175*x^5-1035907*x^4-7541*x^3-58081*x^2+161166*x+12925)/(68340*x^10+54232 *x^9-155108*x^8-229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x ^2+19685*x-9805)*Tw(2,1,2,0)+(5674*x^10+64187*x^9-69840*x^8-440295*x^7-90166*x^ 6+285460*x^5-607013*x^4-746431*x^3-112011*x^2-60275*x+4430)/(68340*x^10+54232*x ^9-155108*x^8-229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2 +19685*x-9805)*Tw(0,2,2,0)-(30635*x^10-136090*x^9+17714*x^8+131346*x^7+168078*x ^6-30013*x^5+170370*x^4+239033*x^3+496802*x^2-59055*x+125560)/(68340*x^10+54232 *x^9-155108*x^8-229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x ^2+19685*x-9805)*Tw(1,2,2,0)-(73756*x^10+71849*x^9+59499*x^8+277301*x^7+527655* x^6-449249*x^5+616179*x^4-36761*x^3+203279*x^2+12912*x-48895)/(68340*x^10+54232 *x^9-155108*x^8-229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x ^2+19685*x-9805)*Tw(2,2,2,0)+(62245*x^10-28688*x^9-312388*x^8-185245*x^7+156739 *x^6-108034*x^5-365052*x^4+167387*x^3-316326*x^2+5377*x+44460)/(68340*x^10+ 54232*x^9-155108*x^8-229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-\ 163754*x^2+19685*x-9805)*Tw(0,0,0,1)-(9737*x^10-194224*x^9-173843*x^8-116740*x^ 7-241919*x^6-248053*x^5-136567*x^4+234603*x^3+113135*x^2-197702*x+79425)/(68340 *x^10+54232*x^9-155108*x^8-229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x ^3-163754*x^2+19685*x-9805)*Tw(1,0,0,1)-(7358*x^10-125067*x^9-151597*x^8-212248 *x^7-270179*x^6-312289*x^5+15444*x^4-388973*x^3-146862*x^2+148107*x-15645)/( 68340*x^10+54232*x^9-155108*x^8-229109*x^7+370329*x^6-426071*x^5-829632*x^4-\ 635042*x^3-163754*x^2+19685*x-9805)*Tw(2,0,0,1)+(89144*x^10+73430*x^9-4929*x^8-\ 45307*x^7+555351*x^6-676890*x^5+352247*x^4-175099*x^3-102248*x^2-60659*x-35625) /(68340*x^10+54232*x^9-155108*x^8-229109*x^7+370329*x^6-426071*x^5-829632*x^4-\ 635042*x^3-163754*x^2+19685*x-9805)*Tw(0,1,0,1)-(32984*x^10-103021*x^9+170646*x ^8+59037*x^7+303072*x^6-265345*x^5+308109*x^4+68766*x^3+160498*x^2+88756*x-\ 15890)/(68340*x^10+54232*x^9-155108*x^8-229109*x^7+370329*x^6-426071*x^5-829632 *x^4-635042*x^3-163754*x^2+19685*x-9805)*Tw(1,1,0,1)+(3602*x^10-43705*x^9-\ 277094*x^8-158070*x^7-202331*x^6+43295*x^5-523885*x^4+27364*x^3-27473*x^2+47700 *x-2520)/(68340*x^10+54232*x^9-155108*x^8-229109*x^7+370329*x^6-426071*x^5-\ 829632*x^4-635042*x^3-163754*x^2+19685*x-9805)*Tw(2,1,0,1)-(34367*x^10+106508*x ^9+71403*x^8+296077*x^7+643162*x^6+153921*x^5+316548*x^4+473450*x^3+263478*x^2+ 78975*x+144625)/(68340*x^10+54232*x^9-155108*x^8-229109*x^7+370329*x^6-426071*x ^5-829632*x^4-635042*x^3-163754*x^2+19685*x-9805)*Tw(0,2,0,1)-(14193*x^10-30459 *x^9+52202*x^8-203209*x^7+141078*x^6-232791*x^5-223359*x^4-575633*x^3+115531*x^ 2-9416*x+65195)/(68340*x^10+54232*x^9-155108*x^8-229109*x^7+370329*x^6-426071*x ^5-829632*x^4-635042*x^3-163754*x^2+19685*x-9805)*Tw(1,2,0,1)-(13814*x^10-\ 120176*x^9-228709*x^8-88140*x^7-140736*x^6-465296*x^5-200844*x^4+71759*x^3-\ 405695*x^2+120456*x-118165)/(68340*x^10+54232*x^9-155108*x^8-229109*x^7+370329* x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+19685*x-9805)*Tw(2,2,0,1)-( 77071*x^10+148359*x^9-61656*x^8-4774*x^7+763673*x^6-225306*x^5-157556*x^4+93563 *x^3+235544*x^2+20000*x+64155)/(68340*x^10+54232*x^9-155108*x^8-229109*x^7+ 370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+19685*x-9805)*Tw(0,0,1,1 )+(27575*x^10-112163*x^9-69237*x^8+202819*x^7+32828*x^6-346395*x^5+282499*x^4+ 249985*x^3+192729*x^2-67607*x-38615)/(68340*x^10+54232*x^9-155108*x^8-229109*x^ 7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+19685*x-9805)*Tw(1,0,1 ,1)-(104002*x^10-75711*x^9-126826*x^8-29561*x^7+669838*x^6+89252*x^5-308721*x^4 -192802*x^3+304716*x^2-84753*x+113320)/(68340*x^10+54232*x^9-155108*x^8-229109* x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+19685*x-9805)*Tw(2,0 ,1,1)-(26259*x^10+255721*x^9+132120*x^8+160227*x^7+558605*x^6+522773*x^5-177419 *x^4+393066*x^3-144495*x^2+38954*x+29015)/(68340*x^10+54232*x^9-155108*x^8-\ 229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+19685*x-9805) *Tw(0,1,1,1)+(2852*x^10+943*x^9+15442*x^8-229277*x^7-213323*x^6+323399*x^5+ 22404*x^4-261414*x^3-280124*x^2-20372*x-60815)/(68340*x^10+54232*x^9-155108*x^8 -229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+19685*x-9805 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3-163754*x^2+19685*x-9805)*Tw(0,0,2,2)+(65266*x^10+101853*x^9+116820*x^8+126749 *x^7+415635*x^6-248453*x^5+418037*x^4+16818*x^3+283141*x^2+40494*x-135)/(68340* x^10+54232*x^9-155108*x^8-229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^ 3-163754*x^2+19685*x-9805)*Tw(1,0,2,2)+(29485*x^10+81850*x^9+325038*x^8+188478* x^7+263970*x^6+109405*x^5+997340*x^4+74050*x^3+102484*x^2+41733*x-78225)/(68340 *x^10+54232*x^9-155108*x^8-229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x ^3-163754*x^2+19685*x-9805)*Tw(2,0,2,2)+(18576*x^10-197320*x^9-120025*x^8-\ 312593*x^7-252847*x^6-705922*x^5-621159*x^4+194345*x^3-7500*x^2+273596*x+32415) /(68340*x^10+54232*x^9-155108*x^8-229109*x^7+370329*x^6-426071*x^5-829632*x^4-\ 635042*x^3-163754*x^2+19685*x-9805)*Tw(0,1,2,2), Tw(2,1,2,2)-(17799*x^10+24119* x^9-24776*x^8+75739*x^7+90763*x^6+689759*x^5+72759*x^4+60793*x^3+14400*x^2-\ 22471*x+8413)/(68340*x^10+54232*x^9-155108*x^8-229109*x^7+370329*x^6-426071*x^5 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426071*x^5-829632*x^4-635042*x^3-163754*x^2+19685*x-9805)*Tw(1,1,0,0)+(19014*x^ 10-25421*x^9-164952*x^8-178179*x^7+198068*x^6-51820*x^5-351640*x^4-356046*x^3-\ 147251*x^2-7027*x-10605)/(68340*x^10+54232*x^9-155108*x^8-229109*x^7+370329*x^6 -426071*x^5-829632*x^4-635042*x^3-163754*x^2+19685*x-9805)*Tw(2,1,0,0)+(42698*x ^10+50307*x^9+56943*x^8+356820*x^7+230603*x^6-230611*x^5+707315*x^4+408468*x^3+ 111983*x^2-5382*x-15413)/(68340*x^10+54232*x^9-155108*x^8-229109*x^7+370329*x^6 -426071*x^5-829632*x^4-635042*x^3-163754*x^2+19685*x-9805)*Tw(0,2,0,0)-(75396*x ^10-5872*x^9-63763*x^8+220679*x^7+700540*x^6-112207*x^5+888938*x^4+590632*x^3+ 179302*x^2+17705*x-3197)/(68340*x^10+54232*x^9-155108*x^8-229109*x^7+370329*x^6 -426071*x^5-829632*x^4-635042*x^3-163754*x^2+19685*x-9805)*Tw(1,2,0,0)+(12176*x ^10+26423*x^9+5671*x^8+378288*x^7-174690*x^6-33839*x^5+399976*x^4+203997*x^3-\ 8043*x^2-16256*x+866)/(68340*x^10+54232*x^9-155108*x^8-229109*x^7+370329*x^6-\ 426071*x^5-829632*x^4-635042*x^3-163754*x^2+19685*x-9805)*Tw(2,2,0,0)+(84443*x^ 10+242181*x^9+528220*x^8+303289*x^7+875674*x^6+1229052*x^5+1177058*x^4+770888*x ^3+233971*x^2+10259*x+17684)/(68340*x^10+54232*x^9-155108*x^8-229109*x^7+370329 *x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+19685*x-9805)*Tw(0,0,1,0)+( 53253*x^10+99028*x^9+177534*x^8-2187*x^7+13950*x^6+581083*x^5+376275*x^4+266516 *x^3+16148*x^2-5592*x+19170)/(68340*x^10+54232*x^9-155108*x^8-229109*x^7+370329 *x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+19685*x-9805)*Tw(1,0,1,0)+( 8512*x^10+171961*x^9+226575*x^8-165966*x^7-118101*x^6+521967*x^5+260532*x^4-\ 337373*x^3-206466*x^2-23866*x-27895)/(68340*x^10+54232*x^9-155108*x^8-229109*x^ 7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+19685*x-9805)*Tw(2,0,1 ,0)+(62340*x^10+229854*x^9+287603*x^8+376177*x^7+295977*x^6+875338*x^5+816270*x ^4+115211*x^3+22427*x^2+254*x-21327)/(68340*x^10+54232*x^9-155108*x^8-229109*x^ 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370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+19685*x-9805)*Tw(1,2,1,0 )-(124447*x^10+266453*x^9-26589*x^8-11311*x^7+717053*x^6+301140*x^5+70641*x^4+ 166232*x^3-9433*x^2-22349*x+5816)/(68340*x^10+54232*x^9-155108*x^8-229109*x^7+ 370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+19685*x-9805)*Tw(2,2,1,0 )-(48037*x^10+197326*x^9+157811*x^8-247896*x^7+139273*x^6+166891*x^5+169376*x^4 -368048*x^3-203345*x^2-61475*x-35216)/(68340*x^10+54232*x^9-155108*x^8-229109*x ^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+19685*x-9805)*Tw(0,0, 2,0)-(85206*x^10+185291*x^9+94310*x^8+56140*x^7+601139*x^6+850830*x^5+362046*x^ 4+245742*x^3+125972*x^2+34469*x+16203)/(68340*x^10+54232*x^9-155108*x^8-229109* x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+19685*x-9805)*Tw(1,0 ,2,0)+(88791*x^10+247916*x^9+392279*x^8-10097*x^7+511401*x^6+1228759*x^5+400909 *x^4-90236*x^3-79159*x^2-37867*x-5062)/(68340*x^10+54232*x^9-155108*x^8-229109* x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+19685*x-9805)*Tw(2,0 ,2,0)+(146889*x^10+275869*x^9+9412*x^8+41181*x^7+559598*x^6+193197*x^5+293761*x ^4+183053*x^3-69561*x^2-30106*x+8662)/(68340*x^10+54232*x^9-155108*x^8-229109*x ^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+19685*x-9805)*Tw(0,1, 2,0)+(67623*x^10+254994*x^9+287974*x^8+260607*x^7+150798*x^6+818123*x^5+631394* x^4-359754*x^3-265661*x^2-93344*x-48300)/(68340*x^10+54232*x^9-155108*x^8-\ 229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+19685*x-9805) *Tw(1,1,2,0)+(85968*x^10+210004*x^9+80015*x^8-80560*x^7+594837*x^6-105234*x^5+ 35658*x^4+232924*x^3+210985*x^2+55385*x+7073)/(68340*x^10+54232*x^9-155108*x^8-\ 229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+19685*x-9805) *Tw(2,1,2,0)+(974*x^10-83201*x^9-211038*x^8-67706*x^7+309512*x^6-391231*x^5+ 84469*x^4+62657*x^3-14026*x^2+23075*x-6655)/(68340*x^10+54232*x^9-155108*x^8-\ 229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+19685*x-9805) *Tw(0,2,2,0)+(16385*x^10+89636*x^9-196134*x^8-132002*x^7-18071*x^6+257322*x^5-\ 436914*x^4+134413*x^3+182323*x^2+93927*x+36325)/(68340*x^10+54232*x^9-155108*x^ 8-229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+19685*x-\ 9805)*Tw(1,2,2,0)-(112196*x^10+216009*x^9+106301*x^8+16217*x^7+600780*x^6+ 240432*x^5-53944*x^4+172286*x^3+129135*x^2+17224*x+23319)/(68340*x^10+54232*x^9 -155108*x^8-229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+ 19685*x-9805)*Tw(2,2,2,0)-(44635*x^10+136942*x^9+80788*x^8-89902*x^7+16409*x^6-\ 605505*x^5+108007*x^4+406373*x^3+101098*x^2+20484*x+23821)/(68340*x^10+54232*x^ 9-155108*x^8-229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+ 19685*x-9805)*Tw(0,0,0,1)+(96623*x^10+299346*x^9+45039*x^8-58207*x^7+374152*x^6 +283745*x^5-374631*x^4+34964*x^3-14711*x^2-3691*x+27484)/(68340*x^10+54232*x^9-\ 155108*x^8-229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+ 19685*x-9805)*Tw(1,0,0,1)+(29402*x^10+179711*x^9+254775*x^8+210138*x^7-14998*x^ 6+415043*x^5+824508*x^4+196446*x^3+50337*x^2+48843*x-4289)/(68340*x^10+54232*x^ 9-155108*x^8-229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+ 19685*x-9805)*Tw(2,0,0,1)+(45004*x^10+141430*x^9+92487*x^8-56242*x^7+405190*x^6 +682116*x^5+301008*x^4+317945*x^3+235684*x^2+34196*x+15907)/(68340*x^10+54232*x ^9-155108*x^8-229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2 +19685*x-9805)*Tw(0,1,0,1)-(4024*x^10+57003*x^9+237440*x^8-151455*x^7+150961*x^ 6+74834*x^5-165664*x^4-71825*x^3-49925*x^2-23198*x+8537)/(68340*x^10+54232*x^9-\ 155108*x^8-229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+ 19685*x-9805)*Tw(1,1,0,1)-(47198*x^10+191769*x^9+207280*x^8-71652*x^7+220457*x^ 6+139104*x^5+188427*x^4+208181*x^3+107084*x^2+3589*x+2810)/(68340*x^10+54232*x^ 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7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+19685*x-9805)*Tw(0,0,1 ,1)-(98725*x^10-148581*x^9-314528*x^8+655147*x^7+28675*x^6-720966*x^5-475756*x^ 4+45525*x^3+196828*x^2-12480*x-29464)/(68340*x^10+54232*x^9-155108*x^8-229109*x ^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+19685*x-9805)*Tw(1,0, 1,1)+(127034*x^10-455725*x^9-297668*x^8+1391491*x^7+686270*x^6-515985*x^5-\ 597850*x^4+35294*x^3-105402*x^2-106213*x+74124)/(68340*x^10+54232*x^9-155108*x^ 8-229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+19685*x-\ 9805)*Tw(2,0,1,1)-(94947*x^10-350951*x^9-335847*x^8+361806*x^7+83688*x^6+214332 *x^5-343805*x^4+8001*x^3+270282*x^2-25340*x-14748)/(68340*x^10+54232*x^9-155108 *x^8-229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+19685*x-\ 9805)*Tw(0,1,1,1)-(22144*x^10-147819*x^9-138354*x^8-74949*x^7+314303*x^6+ 1012283*x^5+712155*x^4+348602*x^3+142200*x^2-8496*x-32609)/(68340*x^10+54232*x^ 9-155108*x^8-229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+ 19685*x-9805)*Tw(1,1,1,1)+(23675*x^10-485788*x^9-46794*x^8+1091468*x^7+628971*x ^6-846916*x^5-481869*x^4+53736*x^3-213464*x^2-87620*x+75486)/(68340*x^10+54232* x^9-155108*x^8-229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^ 2+19685*x-9805)*Tw(2,1,1,1)+(118757*x^10-358205*x^9-83516*x^8+222606*x^7+85578* x^6-302277*x^5-166476*x^4-196348*x^3-99486*x^2-27258*x-2410)/(68340*x^10+54232* x^9-155108*x^8-229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^ 2+19685*x-9805)*Tw(0,2,1,1)+(9070*x^10-9509*x^9+41207*x^8-11223*x^7+21409*x^6+ 712822*x^5+484126*x^4-422493*x^3-235850*x^2+42356*x-6885)/(68340*x^10+54232*x^9 -155108*x^8-229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+ 19685*x-9805)*Tw(1,2,1,1)-(7599*x^10+32925*x^9-153528*x^8+75144*x^7+41568*x^6-\ 303466*x^5+419294*x^4+240577*x^3-25797*x^2+58042*x-19028)/(68340*x^10+54232*x^9 -155108*x^8-229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+ 19685*x-9805)*Tw(2,2,1,1)-(41977*x^10+247473*x^9-208632*x^8-1047288*x^7-55062*x ^6+563715*x^5+49580*x^4-188656*x^3+267492*x^2+97062*x-87606)/(68340*x^10+54232* x^9-155108*x^8-229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^ 2+19685*x-9805)*Tw(0,0,2,1)-(63242*x^10-120620*x^9-35258*x^8-313311*x^7-161397* x^6-32597*x^5-187416*x^4-406190*x^3-151190*x^2+34761*x-3409)/(68340*x^10+54232* x^9-155108*x^8-229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^ 2+19685*x-9805)*Tw(1,0,2,1)-(72316*x^10-356944*x^9+405342*x^8+566692*x^7-209252 *x^6-799174*x^5-696041*x^4-304840*x^3+195155*x^2+90657*x-39806)/(68340*x^10+ 54232*x^9-155108*x^8-229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-\ 163754*x^2+19685*x-9805)*Tw(2,0,2,1)+(133447*x^10-223679*x^9-20554*x^8+137341*x ^7-236113*x^6+137237*x^5+215446*x^4-39851*x^3+296985*x^2+73519*x-96493)/(68340* x^10+54232*x^9-155108*x^8-229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^ 3-163754*x^2+19685*x-9805)*Tw(0,1,2,1)+(7756*x^10+79590*x^9+166866*x^8-233020*x ^7-522004*x^6-271517*x^5+67076*x^4+15995*x^3-179533*x^2-40434*x+27700)/(68340*x ^10+54232*x^9-155108*x^8-229109*x^7+370329*x^6-426071*x^5-829632*x^4-635042*x^3 -163754*x^2+19685*x-9805)*Tw(1,1,2,1)-(40191*x^10-260206*x^9+685188*x^8+390195* x^7-709591*x^6-1077323*x^5-457383*x^4+42229*x^3-124225*x^2-77918*x+48883)/( 68340*x^10+54232*x^9-155108*x^8-229109*x^7+370329*x^6-426071*x^5-829632*x^4-\ 635042*x^3-163754*x^2+19685*x-9805)*Tw(2,1,2,1)+(114600*x^10-317251*x^9-442974* x^8+296084*x^7+458395*x^6-143186*x^5-576858*x^4-250420*x^3-31950*x^2-20026*x+ 13011)/(68340*x^10+54232*x^9-155108*x^8-229109*x^7+370329*x^6-426071*x^5-829632 *x^4-635042*x^3-163754*x^2+19685*x-9805)*Tw(0,2,2,1)+(34795*x^10+98026*x^9-\ 585568*x^8-202416*x^7-97169*x^6+364046*x^5+329183*x^4+309618*x^3+84074*x^2+4394 *x+37632)/(68340*x^10+54232*x^9-155108*x^8-229109*x^7+370329*x^6-426071*x^5-\ 829632*x^4-635042*x^3-163754*x^2+19685*x-9805)*Tw(1,2,2,1)-(26551*x^10+139048*x ^9-358053*x^8+206621*x^7+243725*x^6-286341*x^5-334201*x^4+196932*x^3+47039*x^2-\ 92200*x+2644)/(68340*x^10+54232*x^9-155108*x^8-229109*x^7+370329*x^6-426071*x^5 -829632*x^4-635042*x^3-163754*x^2+19685*x-9805)*Tw(2,2,2,1)-(11411*x^10+295769* x^9+27947*x^8-339051*x^7-93379*x^6-685034*x^5-560046*x^4+102252*x^3+159738*x^2+ 67390*x+11923)/(68340*x^10+54232*x^9-155108*x^8-229109*x^7+370329*x^6-426071*x^ 5-829632*x^4-635042*x^3-163754*x^2+19685*x-9805)*Tw(0,0,0,2)+(65921*x^10+67260* x^9-293796*x^8-243172*x^7+258729*x^6+309088*x^5-18955*x^4-6119*x^3+5318*x^2+ 34257*x+2739)/(68340*x^10+54232*x^9-155108*x^8-229109*x^7+370329*x^6-426071*x^5 -829632*x^4-635042*x^3-163754*x^2+19685*x-9805)*Tw(1,0,0,2)+(103554*x^10+38162* x^9-504444*x^8+240631*x^7+627460*x^6+119191*x^5-490551*x^4-359796*x^3-68068*x^2 +70730*x+48126)/(68340*x^10+54232*x^9-155108*x^8-229109*x^7+370329*x^6-426071*x ^5-829632*x^4-635042*x^3-163754*x^2+19685*x-9805)*Tw(2,0,0,2)+(68100*x^10-\ 243674*x^9-83121*x^8-214619*x^7-26194*x^6+237951*x^5-164809*x^4+10995*x^3+ 311034*x^2+82470*x-30133)/(68340*x^10+54232*x^9-155108*x^8-229109*x^7+370329*x^ 6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+19685*x-9805)*Tw(0,1,1,0)-(47620* x^10-515481*x^9-65163*x^8+1209906*x^7+250182*x^6-451039*x^5+125237*x^4+667181*x ^3+152601*x^2-50502*x+24668)/(68340*x^10+54232*x^9-155108*x^8-229109*x^7+370329 *x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+19685*x-9805)*Tw(1,1,1,0)-( 21288*x^10+391782*x^9-243225*x^8-488559*x^7-472705*x^6-94845*x^5-288125*x^4-\ 417023*x^3+13807*x^2+11774*x-24134)/(68340*x^10+54232*x^9-155108*x^8-229109*x^7 +370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+19685*x-9805)*Tw(2,1,1, 0)-(89632*x^10-411193*x^9-253759*x^8+495065*x^7+574803*x^6+248595*x^5+54047*x^4 -158281*x^3+5122*x^2+86640*x-35976)/(68340*x^10+54232*x^9-155108*x^8-229109*x^7 +370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+19685*x-9805)*Tw(0,2,1, 0)+(43943*x^10-199479*x^9+229267*x^8-128964*x^7-198283*x^6+50075*x^5+58391*x^4-\ 184703*x^3-28062*x^2-22659*x-21636)/(68340*x^10+54232*x^9-155108*x^8-229109*x^7 +370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+19685*x-9805)*Tw(1,2,1, 0)-(93911*x^10-386313*x^9-213438*x^8+737729*x^7+190376*x^6-902988*x^5-258510*x^ 4+38905*x^3-97413*x^2-35838*x+599)/(68340*x^10+54232*x^9-155108*x^8-229109*x^7+ 370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+19685*x-9805)*Tw(2,2,1,0 )-(19781*x^10-50404*x^9-616034*x^8+489863*x^7+842275*x^6+144560*x^5-568362*x^4-\ 303792*x^3+194865*x^2+51027*x-62929)/(68340*x^10+54232*x^9-155108*x^8-229109*x^ 7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+19685*x-9805)*Tw(0,0,2 ,0)+(33222*x^10+155933*x^9-168242*x^8-158690*x^7+82366*x^6+532714*x^5+502312*x^ 4+80586*x^3+75641*x^2+19680*x-27562)/(68340*x^10+54232*x^9-155108*x^8-229109*x^ 7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+19685*x-9805)*Tw(1,0,2 ,0)-(153357*x^10-75550*x^9-49228*x^8+532825*x^7-599412*x^6-385679*x^5+232159*x^ 4+41858*x^3-21352*x^2+36599*x+14423)/(68340*x^10+54232*x^9-155108*x^8-229109*x^ 7+370329*x^6-426071*x^5-829632*x^4-635042*x^3-163754*x^2+19685*x-9805)*Tw(2,0,2 ,0)+Tw(2,2,2,2)] # Leading monomials: [Tw(1,1,2,2), Tw(2,1,2,2), Tw(0,2,2,2), Tw(1,2,2,2), Tw(2,2,2,2)] # Time by Buchberger, Time by F4, Speedup by F4: 1.40, 0.53, 2.64 # Example 39, 5 polynomials of the same degree 5 with random coefficients in k[x]_(<= 2) # Input generating set: [8*Tw(0,1,1,1,0)+(4*x^2-3)*Tw(2,2,2,2,0)+(-3*x^2+4*x+7)*Tw(2,2,2,2,1)+(-2*x^2-6 *x+7)*Tw(2,2,2,2,2)+(3*x^2-3*x-1)*Tw(2,2,1,0,2)+(-7*x^2+9*x+8)*Tw(2,2,1,1,0)+(-\ 2*x^2+9*x-6)*Tw(2,2,1,1,1)+(7+5*x)*Tw(2,2,1,1,2)+(4*x^2+8*x+8)*Tw(2,2,1,2,0)+(3 *x^2-7*x+6)*Tw(2,2,1,2,1)+(-4*x^2+4*x-5)*Tw(2,2,1,2,2)+(3*x^2+9*x+1)*Tw(2,2,2,0 ,0)+(-4*x^2-2*x-7)*Tw(2,2,2,0,1)+(8*x^2-2)*Tw(2,2,2,0,2)+(-7*x^2+6*x-6)*Tw(2,2, 2,1,0)+(-9*x^2+4*x+3)*Tw(2,2,2,1,1)+(8*x^2-x+6)*Tw(2,2,0,0,1)+(-4*x^2+x+5)*Tw(2 ,2,0,0,2)+(-8-9*x)*Tw(2,2,0,1,0)+(-6*x^2-7*x+4)*Tw(2,2,0,1,1)+(-7*x^2-6*x)*Tw(2 ,2,0,1,2)+(-5*x^2-8*x+8)*Tw(2,2,0,2,0)+(-6*x^2+3*x-2)*Tw(2,2,0,2,1)+(-7*x^2+3*x +8)*Tw(2,2,0,2,2)+(-5*x^2+x-9)*Tw(2,2,1,0,0)+(-3*x^2+6*x+9)*Tw(2,2,1,0,1)+(-6*x ^2-9*x-4)*Tw(0,1,1,0,0)+(-5-4*x)*Tw(0,1,1,0,1)+(-7*x^2-1)*Tw(0,1,1,0,2)+(-2*x^2 +4*x+2)*Tw(0,1,1,1,1)+(-x^2+7*x+9)*Tw(0,1,1,1,2)+(-6*x^2-2*x-1)*Tw(0,1,1,2,0)+( -9*x^2-5*x-8)*Tw(0,0,1,1,2)+(-6*x^2+7*x+3)*Tw(0,0,1,2,0)+(x^2+5*x+9)*Tw(0,0,1,2 ,1)+(8+8*x)*Tw(0,0,2,0,0)+(-x^2-2*x-9)*Tw(0,0,2,0,2)+(6*x^2+9*x-8)*Tw(0,0,2,1,0 )+(-x^2+5*x)*Tw(0,0,2,1,1)+(2*x^2+8*x+8)*Tw(0,0,2,1,2)+(8*x^2+6*x+8)*Tw(0,0,2,2 ,0)+(5*x^2+x+4)*Tw(0,0,2,2,1)+(-8*x^2+7*x-3)*Tw(0,0,2,2,2)+(-7*x^2+5*x-7)*Tw(0, 1,0,0,0)+(-2*x^2-5*x-8)*Tw(0,0,0,0,0)+(-x^2+x-9)*Tw(0,0,0,0,1)+(x^2+6*x+9)*Tw(0 ,0,0,0,2)+(5*x^2+2*x+4)*Tw(0,0,0,1,0)+(1-x)*Tw(0,0,0,1,1)+(-6*x^2+9*x+2)*Tw(0,0 ,0,1,2)+(9*x^2+x-8)*Tw(0,0,0,2,0)+(x^2-9)*Tw(0,0,0,2,1)+(-4*x^2-3*x+6)*Tw(0,0,0 ,2,2)+(8*x^2-5*x-9)*Tw(0,0,1,0,0)+(-9*x^2+6*x+4)*Tw(0,0,1,0,1)+(6+6*x)*Tw(0,0,1 ,0,2)+(3*x^2-x+2)*Tw(0,0,1,1,0)+(3*x^2-5)*Tw(0,0,1,1,1)+(x^2-7*x-6)*Tw(2,2,2,1, 2)+(-6*x^2+3*x-4)*Tw(2,0,2,0,1)+(-7*x^2-5*x+6)*Tw(2,0,2,0,2)+(-x^2+5*x+4)*Tw(2, 0,2,1,0)+(6*x^2+2*x+5)*Tw(2,0,2,1,1)+(5*x^2+8*x+5)*Tw(2,0,2,1,2)+(7*x^2-7*x-3)* Tw(2,0,2,2,0)+(-3*x^2-9*x-2)*Tw(2,0,0,0,1)+(8*x^2-x-1)*Tw(2,0,0,0,2)+(-9*x^2+2* x-6)*Tw(2,0,0,1,0)+(2+6*x)*Tw(2,0,0,1,1)+(4*x^2-x+8)*Tw(2,0,0,1,2)+(-9*x^2+2*x+ 3)*Tw(2,0,0,2,0)+(-2-6*x)*Tw(2,0,0,2,1)+(6*x^2+9*x-4)*Tw(2,0,0,2,2)+(-8*x^2+2*x -1)*Tw(2,0,1,0,0)+(-2*x^2-x-8)*Tw(0,2,1,0,2)+(-3*x^2-4*x-6)*Tw(0,2,1,1,0)+(2*x^ 2+x-6)*Tw(0,2,1,1,1)+(8*x^2+9*x+5)*Tw(0,2,1,1,2)+(6*x^2-9*x+8)*Tw(0,1,1,2,1)+(6 *x^2-2*x-8)*Tw(0,1,1,2,2)+(7*x^2-8*x-3)*Tw(0,1,2,0,0)+(4*x^2+7*x-6)*Tw(0,1,2,0, 1)+(-6*x^2-8*x+4)*Tw(0,1,2,0,2)+(-6*x^2-2*x+4)*Tw(0,1,2,1,0)+(-2-2*x)*Tw(0,1,2, 1,1)+(-6*x^2+8*x-4)*Tw(0,1,2,1,2)+(-8*x^2-4*x+4)*Tw(0,1,2,2,0)+(4*x^2+2*x+4)*Tw (0,1,2,2,1)+(6*x^2-8*x+6)*Tw(0,1,2,2,2)+(x^2+6*x-8)*Tw(0,2,2,0,0)+(5*x^2+5*x-3) *Tw(0,2,2,0,1)+(3*x^2-5*x+2)*Tw(0,2,2,0,2)+(-8*x^2+5*x+6)*Tw(0,2,2,1,0)+(2*x^2-\ 6*x+6)*Tw(0,2,2,1,1)+(-3*x^2-x-6)*Tw(2,0,1,0,1)+(8*x^2+9*x+8)*Tw(2,0,1,0,2)+(9* x^2+6*x-9)*Tw(1,2,2,1,0)+(2*x^2+9*x-7)*Tw(1,2,2,1,1)+(x^2-3*x-6)*Tw(1,2,2,1,2)+ (3*x^2-7*x+4)*Tw(1,2,2,2,0)+(-2+4*x)*Tw(1,2,2,2,1)+(-2*x^2+7*x+5)*Tw(2,0,0,0,0) +(7*x^2+9*x+9)*Tw(1,2,0,2,1)+(5*x^2+x-8)*Tw(1,2,0,2,2)+(-4*x^2-5*x-6)*Tw(1,2,1, 0,0)+(-9*x^2-5*x-8)*Tw(1,2,1,0,1)+(3*x^2+3*x+7)*Tw(1,2,1,0,2)+(9*x^2-6*x-8)*Tw( 1,2,1,1,0)+(-2*x^2-9*x-3)*Tw(1,2,1,1,1)+(8*x^2-9*x+4)*Tw(1,2,1,1,2)+(4*x^2-9*x-\ 1)*Tw(1,2,1,2,0)+(-3*x^2+9*x-1)*Tw(1,2,1,2,1)+(-3*x^2+8*x-3)*Tw(0,1,0,0,1)+(-x^ 2-4*x)*Tw(0,1,0,0,2)+(5*x^2+7*x-6)*Tw(0,1,0,1,0)+(2*x^2+x-8)*Tw(0,1,0,1,1)+(x^2 +2*x-6)*Tw(0,1,0,1,2)+(-2*x^2+9*x+2)*Tw(0,1,0,2,0)+(2*x^2-5*x+2)*Tw(0,1,0,2,1)+ (7-8*x)*Tw(0,1,0,2,2)+(6*x^2+4*x+6)*Tw(2,1,2,1,1)+(-x^2+6*x+3)*Tw(2,1,2,1,2)+(-\ 8*x^2-2*x+8)*Tw(2,1,2,2,0)+(-3*x^2+3*x-5)*Tw(2,1,2,2,1)+(-2+6*x)*Tw(2,1,2,2,2)+ (4*x^2+9)*Tw(2,2,0,0,0)+(-2*x^2-7*x+9)*Tw(2,0,2,2,1)+(9*x^2+4*x+4)*Tw(2,0,2,2,2 )+(8*x^2-9*x-3)*Tw(2,1,0,0,0)+(-x^2-7*x-2)*Tw(2,1,0,0,1)+(9*x^2-3*x-1)*Tw(1,0,0 ,1,2)+(-8*x^2-6*x-5)*Tw(1,0,0,2,0)+(-6*x^2+9*x)*Tw(1,0,0,2,1)+(6*x^2+9*x+8)*Tw( 1,0,0,2,2)+(6*x^2-8*x-7)*Tw(1,0,1,0,0)+(-4*x^2-4)*Tw(1,0,1,0,1)+(8*x^2-5*x+4)* Tw(1,0,1,0,2)+(5+6*x)*Tw(1,0,1,1,0)+(-5*x^2+3*x-4)*Tw(0,2,1,2,0)+(-9*x^2+4*x-1) *Tw(0,2,1,2,1)+(-7*x^2+7*x+5)*Tw(0,2,1,2,2)+(5+x)*Tw(2,1,1,1,2)+(-7*x^2+6*x+2)* Tw(2,1,1,2,0)+(-x^2-9*x-5)*Tw(2,1,1,2,1)+(8*x^2+7*x+2)*Tw(2,1,1,2,2)+(4*x^2+7*x +7)*Tw(2,1,2,0,0)+(2*x^2+5*x-1)*Tw(2,1,2,0,1)+(-8*x^2-3*x+8)*Tw(2,1,2,0,2)+(-x^ 2+6*x-8)*Tw(0,2,0,0,0)+(7*x^2-7*x+6)*Tw(0,2,0,0,1)+(-4*x^2-6*x+7)*Tw(0,2,0,0,2) +(5*x^2+x+5)*Tw(0,2,0,1,0)+(7+9*x)*Tw(1,2,1,2,2)+(3*x^2-7*x-2)*Tw(1,2,2,0,0)+(-\ 2*x^2+5)*Tw(1,2,2,0,1)+(7*x^2-6*x)*Tw(1,2,2,0,2)+(9*x^2+5*x-1)*Tw(1,1,2,1,0)+(-\ 7*x^2+3*x+1)*Tw(1,1,2,1,1)+(-8*x^2+5*x)*Tw(1,1,2,1,2)+(8*x^2+7*x-7)*Tw(1,1,2,2, 0)+(-3*x^2+3*x-8)*Tw(1,1,2,2,1)+(-x^2-5*x-2)*Tw(1,1,2,2,2)+(9+9*x)*Tw(1,2,0,0,0 )+(5*x^2+8*x+1)*Tw(1,2,0,0,1)+(-7*x^2+3*x-2)*Tw(1,2,0,0,2)+(-4*x^2-6)*Tw(2,1,0, 0,2)+(3*x^2+7*x+8)*Tw(2,1,0,1,0)+(-5*x^2+8*x+6)*Tw(2,1,0,1,1)+(8*x^2-8*x+8)*Tw( 2,1,0,1,2)+(-3*x^2-2*x-2)*Tw(2,1,0,2,0)+(-3*x^2+2*x+9)*Tw(2,1,0,2,1)+(3+2*x)*Tw (2,1,0,2,2)+(x^2+9*x+4)*Tw(2,1,1,0,0)+(-8*x^2-6*x-7)*Tw(2,1,1,0,1)+(4*x^2-x-3)* Tw(2,1,1,0,2)+(-x^2-6*x+8)*Tw(2,1,1,1,0)+(-6*x^2-7*x-7)*Tw(2,1,1,1,1)+(-7*x^2+3 *x)*Tw(2,0,1,1,0)+(-3*x^2+x)*Tw(2,0,1,1,1)+(4*x^2+6*x-1)*Tw(2,0,1,1,2)+(6*x^2-4 *x+3)*Tw(2,0,1,2,0)+(8*x^2-5*x+5)*Tw(2,0,1,2,1)+(9*x^2-3*x-1)*Tw(2,0,1,2,2)+(5* x^2+6*x+2)*Tw(2,0,2,0,0)+(3*x^2+5*x-2)*Tw(1,1,0,2,1)+(3*x^2+x+6)*Tw(1,1,0,2,2)+ (2*x^2-4*x-8)*Tw(1,1,1,0,0)+(-x^2-3*x-5)*Tw(1,0,1,1,1)+(-8*x^2+x+3)*Tw(1,0,1,1, 2)+(-6*x^2-9*x+1)*Tw(1,0,1,2,0)+(-8*x^2+8*x+6)*Tw(1,0,1,2,1)+(4*x^2-9*x-6)*Tw(1 ,0,1,2,2)+(-9*x^2+3)*Tw(1,0,2,0,0)+(9*x^2+6*x+3)*Tw(1,0,2,0,1)+(-1-8*x)*Tw(1,0, 2,0,2)+(3*x^2-5*x+5)*Tw(1,0,2,1,0)+(4*x^2+5*x+7)*Tw(1,0,2,1,1)+(-4*x^2+9*x-1)* Tw(1,0,0,0,1)+(8*x^2+2*x-6)*Tw(1,0,0,0,2)+(-6*x^2+1)*Tw(1,0,0,1,0)+(-6*x^2-2*x+ 3)*Tw(1,0,0,1,1)+(3*x^2-8*x+2)*Tw(1,2,0,1,0)+(x^2-3*x-4)*Tw(1,2,0,1,1)+(9*x^2-x -3)*Tw(1,2,0,1,2)+(-8*x^2-7*x+8)*Tw(1,2,0,2,0)+(-7*x^2-5*x-4)*Tw(1,1,1,0,1)+(9* x^2-9*x-1)*Tw(1,1,1,0,2)+(6*x^2+5*x-9)*Tw(1,1,1,1,0)+(9*x^2+3*x-2)*Tw(1,1,1,1,1 )+(4*x^2-x+3)*Tw(1,1,1,1,2)+(6*x^2-2*x+9)*Tw(1,1,1,2,0)+(8*x^2-5*x-6)*Tw(1,1,1, 2,1)+(-6*x^2+6*x+9)*Tw(1,1,1,2,2)+(-x^2-8*x-2)*Tw(1,1,2,0,0)+(6*x^2-2*x-3)*Tw(1 ,1,2,0,1)+(-8*x^2+9*x+9)*Tw(1,1,2,0,2)+(-x^2+4*x+4)*Tw(1,0,2,1,2)+(6*x^2-8*x-5) *Tw(1,0,2,2,0)+(-8*x^2-x-2)*Tw(1,0,2,2,1)+(x^2+6*x-1)*Tw(1,0,2,2,2)+(8*x^2-3)* Tw(1,1,0,0,0)+(4*x^2-x-1)*Tw(1,1,0,0,1)+(9*x^2-2*x+9)*Tw(1,1,0,0,2)+(x^2+4*x+8) *Tw(1,1,0,1,0)+(-x^2+4*x-9)*Tw(1,1,0,1,1)+(-8*x^2+2*x+9)*Tw(1,1,0,1,2)+(2*x^2+3 )*Tw(1,1,0,2,0)+(-7*x^2-6*x-2)*Tw(0,2,2,1,2)+(8*x^2-x+2)*Tw(0,2,2,2,0)+(3*x^2-6 *x+5)*Tw(0,2,2,2,1)+(4*x^2+7*x-7)*Tw(0,2,2,2,2)+(7*x^2-8*x-9)*Tw(1,0,0,0,0)+(7+ 5*x)*Tw(0,2,0,1,1)+(2+2*x)*Tw(0,2,0,1,2)+(-8*x^2+5*x-1)*Tw(0,2,0,2,0)+(-2*x^2-5 *x-9)*Tw(0,2,0,2,1)+(6*x^2+9*x-3)*Tw(0,2,0,2,2)+(3*x^2-x+5)*Tw(0,2,1,0,0)+(x^2-\ 8*x+1)*Tw(0,2,1,0,1)+8*Tw(0,0,1,2,2)+Tw(2,1,2,1,0)-5*x*Tw(0,0,2,0,1)+5*x^2*Tw(1 ,2,2,2,2), (7*x^2+2*x-5)*Tw(0,0,1,0,0)+(-6-x)*Tw(0,0,1,0,1)+(-7*x^2-x+4)*Tw(1,0 ,1,2,0)+(5*x^2-6*x+7)*Tw(1,0,1,2,1)+(-7*x^2+5*x-5)*Tw(1,0,1,2,2)+(-3-5*x)*Tw(1, 0,2,0,0)+(5*x^2-2*x+5)*Tw(0,2,1,2,0)+(-3*x^2-4*x-8)*Tw(0,2,1,2,1)+(-9*x^2-9*x-9 )*Tw(0,2,1,2,2)+(-8*x^2+2*x-4)*Tw(0,2,2,0,0)+(-9*x^2+4*x-1)*Tw(0,2,2,0,1)+(8+6* x)*Tw(0,2,2,0,2)+(6-7*x)*Tw(0,2,2,1,0)+(-x^2-6*x-6)*Tw(0,2,2,1,1)+(x^2-9*x+6)* Tw(0,2,2,1,2)+(6*x^2+2*x-1)*Tw(0,2,2,2,0)+(9*x^2+6*x-9)*Tw(0,2,2,2,1)+(-8*x^2-x -3)*Tw(0,2,2,2,2)+(6*x^2+2*x-9)*Tw(1,0,0,0,0)+(-8*x^2+x-2)*Tw(1,0,0,0,1)+(2*x^2 +7)*Tw(1,0,0,0,2)+(6*x^2-8*x+7)*Tw(0,1,2,2,2)+(4*x^2-4*x+4)*Tw(0,2,0,0,0)+(3*x^ 2+3*x-7)*Tw(0,2,0,0,1)+(4*x^2+7*x+5)*Tw(0,2,0,0,2)+(7*x^2+3*x+3)*Tw(0,2,0,1,0)+ (5*x^2+x-5)*Tw(0,2,0,1,1)+(7*x^2-8*x-3)*Tw(0,2,0,1,2)+(6*x^2+2*x+1)*Tw(0,2,0,2, 0)+(-6*x^2+6*x+4)*Tw(0,2,0,2,1)+(6*x^2+3)*Tw(0,2,0,2,2)+(6*x^2-4*x+8)*Tw(0,2,1, 0,0)+(2*x^2+9*x+6)*Tw(0,2,1,0,1)+(-4*x^2+7*x+9)*Tw(0,2,1,0,2)+(-7*x^2+6*x-1)*Tw (0,2,1,1,0)+(x^2-5*x-6)*Tw(0,0,2,0,2)+(-6*x^2-4*x+8)*Tw(0,0,2,1,0)+(8*x^2+3*x-3 )*Tw(2,2,1,2,1)+(5*x^2-5*x)*Tw(2,2,1,2,2)+(-x^2+x+2)*Tw(2,2,2,0,0)+(7*x^2-9*x)* Tw(2,2,2,0,1)+(-9*x^2-6*x-2)*Tw(2,2,2,0,2)+(7*x^2+3*x-4)*Tw(2,2,2,1,0)+(6*x^2-6 *x+8)*Tw(2,2,2,1,1)+(4*x^2+9*x+3)*Tw(2,2,2,1,2)+(6*x^2+5*x+9)*Tw(2,2,2,2,0)+(6* x^2+8*x+5)*Tw(2,2,2,2,1)+(-8-8*x)*Tw(2,2,0,0,2)+(-2*x^2-2*x+3)*Tw(2,2,0,1,0)+(4 *x^2-8*x-7)*Tw(2,2,0,1,1)+(-5*x^2+5*x-4)*Tw(2,2,0,1,2)+(-6*x^2-5*x+6)*Tw(2,2,0, 2,0)+(x^2+9*x-1)*Tw(1,2,2,1,2)+(-5+3*x)*Tw(1,2,2,2,0)+(-6*x^2+8*x-3)*Tw(1,2,2,2 ,1)+(-8*x^2+4*x+1)*Tw(1,2,2,2,2)+(6*x^2+7*x+4)*Tw(2,0,0,0,0)+(-7*x^2-7*x+1)*Tw( 2,0,0,0,1)+(4*x^2+6*x-5)*Tw(2,0,0,0,2)+(5*x^2-8*x+5)*Tw(2,0,0,1,0)+(-6*x^2+7*x-\ 8)*Tw(2,0,0,1,1)+(4*x^2+9*x+3)*Tw(2,0,0,1,2)+(7*x^2-x-5)*Tw(1,2,0,1,2)+(-4*x^2-\ 8*x+8)*Tw(1,2,0,2,0)+(-9*x^2+8*x-3)*Tw(1,2,0,2,1)+(3*x^2-7*x-8)*Tw(1,2,0,2,2)+( 2*x^2-x-7)*Tw(1,2,1,0,0)+(-5*x^2-x-6)*Tw(1,2,1,0,1)+(8*x^2-8*x-9)*Tw(1,2,1,0,2) +(-8*x^2+2*x)*Tw(2,2,2,2,2)+(-9*x^2+7)*Tw(2,2,1,0,1)+(6*x^2-3*x+2)*Tw(2,2,1,0,2 )+(-4*x^2-4*x-6)*Tw(2,2,1,1,0)+(-5*x^2-6*x+2)*Tw(2,2,1,1,1)+(3*x^2-5*x-7)*Tw(2, 2,1,1,2)+(5*x^2-6*x+5)*Tw(2,2,1,2,0)+(-5*x^2+6*x-1)*Tw(1,1,1,0,0)+(-5*x^2-3*x+4 )*Tw(1,1,1,0,1)+(7*x^2+7*x-1)*Tw(1,1,1,0,2)+(-7*x^2-2*x-7)*Tw(1,1,1,1,0)+(3*x^2 +3*x+7)*Tw(1,1,1,1,1)+(5*x^2-9*x+8)*Tw(1,1,1,1,2)+(-5-9*x)*Tw(1,1,1,2,0)+(9*x^2 +2*x-8)*Tw(1,1,1,2,1)+(2*x^2-4*x-3)*Tw(1,1,1,2,2)+(7*x^2-7*x+5)*Tw(1,0,2,0,1)+( -7*x^2+6*x+8)*Tw(1,0,2,0,2)+(-x^2+8*x+4)*Tw(1,0,2,1,0)+(9*x^2+3*x-8)*Tw(1,0,2,1 ,1)+(-x^2-6*x+8)*Tw(1,0,2,1,2)+(5*x^2-2*x+2)*Tw(1,0,2,2,0)+(-x^2+4*x+7)*Tw(1,0, 2,2,1)+(-x^2+4*x+5)*Tw(1,0,2,2,2)+(-3*x^2-6*x-6)*Tw(1,1,0,0,0)+(3*x^2-x+3)*Tw(1 ,1,0,0,1)+(3*x^2-9*x-1)*Tw(1,1,0,0,2)+(-6*x^2+2*x-5)*Tw(1,1,0,1,0)+(8*x^2-8*x-3 )*Tw(1,1,0,1,1)+(x^2+7*x+7)*Tw(1,0,0,1,0)+(4*x^2+x-3)*Tw(1,0,0,1,1)+(-6*x^2+9*x -2)*Tw(1,0,0,2,0)+(7*x^2-8*x-7)*Tw(1,0,0,2,1)+(1-9*x)*Tw(1,0,0,2,2)+(-9*x^2-x+4 )*Tw(1,0,1,0,0)+(9*x^2-8)*Tw(1,0,1,0,1)+(-8*x^2+7*x-7)*Tw(1,0,1,0,2)+(-9*x^2+2* x+5)*Tw(1,0,1,1,0)+(4*x^2+8*x)*Tw(1,0,1,1,1)+(4*x^2+x+8)*Tw(1,0,1,1,2)+(-4*x^2-\ 3*x-5)*Tw(2,1,2,1,1)+(8*x^2-4*x-5)*Tw(2,1,2,1,2)+(5*x^2-8*x-8)*Tw(2,1,2,2,0)+(8 *x^2-7*x-2)*Tw(2,1,2,2,1)+(-2*x^2-4*x-4)*Tw(2,1,2,2,2)+(-5*x^2-2*x+3)*Tw(2,2,0, 0,0)+(5*x^2+8*x-9)*Tw(2,2,0,0,1)+(7*x^2-7*x+1)*Tw(2,1,1,0,1)+(7*x^2+6*x-5)*Tw(2 ,1,1,0,2)+(3*x^2+2*x+5)*Tw(2,1,1,1,0)+(-6+3*x)*Tw(2,1,1,1,1)+(5*x^2-2*x+5)*Tw(2 ,1,1,1,2)+(-8*x^2+9*x+8)*Tw(2,1,1,2,0)+(9*x^2-2*x+7)*Tw(2,1,1,2,1)+(-2*x^2+4*x-\ 8)*Tw(2,1,1,2,2)+(-x^2-2*x+3)*Tw(2,0,2,1,0)+(2*x^2-3*x-4)*Tw(2,0,2,1,1)+(x^2-3* x+8)*Tw(2,0,2,1,2)+(-5*x^2+8*x+2)*Tw(2,0,2,2,0)+(8*x^2+7*x+6)*Tw(0,2,1,1,1)+(-2 *x^2-8*x+8)*Tw(0,2,1,1,2)+(7-8*x)*Tw(0,1,1,1,2)+(x^2-3*x+5)*Tw(0,1,1,2,0)+(2*x^ 2-6*x-7)*Tw(0,1,1,2,1)+(-7*x^2-x)*Tw(0,1,1,2,2)+(8*x^2+5*x+4)*Tw(0,1,2,0,0)+(5* x^2+9*x-1)*Tw(0,1,2,0,1)+(7*x^2+5*x-1)*Tw(0,1,2,0,2)+(-9*x^2+9)*Tw(0,1,2,1,0)+( 4*x^2+9*x+6)*Tw(0,1,2,1,1)+(2*x^2+7*x+9)*Tw(0,1,2,1,2)+(4*x^2-x-1)*Tw(0,1,2,2,0 )+(8*x^2-x+5)*Tw(0,1,2,2,1)+(3*x^2+x-9)*Tw(0,1,0,0,0)+(9*x^2+x+7)*Tw(0,1,0,0,1) +(7*x^2-6*x+1)*Tw(0,1,0,0,2)+(3*x^2+7*x+5)*Tw(0,1,0,1,0)+(3*x^2+4*x-4)*Tw(0,1,0 ,1,1)+(-6*x^2-6*x+1)*Tw(0,1,0,1,2)+(4*x^2+6*x+6)*Tw(0,1,0,2,0)+(-7*x^2+9*x+7)* Tw(0,1,0,2,1)+(-4*x^2-3*x+1)*Tw(0,1,0,2,2)+(-6*x^2+5)*Tw(0,1,1,0,0)+(-x^2+6*x-6 )*Tw(0,1,1,0,1)+(-7*x^2-5*x+2)*Tw(0,1,1,0,2)+(-x^2-x+2)*Tw(0,1,1,1,0)+(7*x^2+2* x-2)*Tw(0,1,1,1,1)+(4*x^2+6*x+3)*Tw(0,0,1,0,2)+(-9*x^2+7*x+5)*Tw(0,0,1,1,0)+(5* x^2-9*x-2)*Tw(0,0,1,1,1)+(-5*x^2-9*x+8)*Tw(0,0,1,1,2)+(-6*x^2+3*x-9)*Tw(0,0,1,2 ,0)+(5*x^2-x-8)*Tw(0,0,2,1,1)+(-2*x^2-6*x+7)*Tw(0,0,2,1,2)+(3*x^2+2*x+4)*Tw(0,0 ,2,2,0)+(-3*x^2+6*x+9)*Tw(0,0,2,2,1)+(4*x^2+2*x)*Tw(0,0,2,2,2)+(7*x^2-9*x-1)*Tw (0,0,0,0,0)+(-7*x^2-9*x-1)*Tw(0,0,0,0,1)+(6+3*x)*Tw(0,0,0,0,2)+(2*x^2+6*x-8)*Tw (0,0,1,2,1)+(6*x^2-5*x+3)*Tw(0,0,1,2,2)+(4*x^2-5)*Tw(0,0,2,0,0)+(-4*x^2-5*x+8)* Tw(0,0,2,0,1)+(-8*x^2+5*x+8)*Tw(1,2,1,1,0)+(6*x^2+2*x+1)*Tw(1,2,1,1,1)+(7*x^2+5 )*Tw(1,2,1,1,2)+(9*x^2-7*x+1)*Tw(1,2,1,2,0)+(-9+6*x)*Tw(1,2,1,2,1)+(4*x^2+6*x-6 )*Tw(1,2,1,2,2)+(7*x^2-6*x-1)*Tw(1,2,2,0,0)+(-6*x^2-2*x-8)*Tw(1,2,2,0,1)+(8*x^2 -3*x+1)*Tw(1,2,2,0,2)+(-8*x^2-9*x+9)*Tw(1,1,2,0,0)+(2*x^2+9*x+7)*Tw(1,1,2,0,2)+ (2*x^2-x-4)*Tw(1,1,2,1,0)+(2+8*x)*Tw(1,1,2,1,1)+(-3*x^2-x+5)*Tw(1,1,2,1,2)+(-6* x^2+2*x-1)*Tw(1,1,2,2,0)+(-9*x^2+2*x+3)*Tw(1,1,2,2,1)+(-3*x^2+2*x+7)*Tw(1,1,2,2 ,2)+(-8*x^2+3*x-7)*Tw(1,2,0,0,0)+(2*x^2-x+9)*Tw(1,2,0,0,1)+(-x^2-3*x-4)*Tw(1,2, 0,0,2)+(x^2-2*x+8)*Tw(1,2,0,1,0)+(-8*x^2+2*x-3)*Tw(1,2,0,1,1)+(-6*x^2-6)*Tw(1,1 ,0,1,2)+(-4*x^2+x+4)*Tw(1,1,0,2,0)+(-2*x^2+5*x-9)*Tw(1,1,0,2,1)+(-1+6*x)*Tw(1,1 ,0,2,2)+(5*x^2-8)*Tw(0,0,0,1,0)+(5*x^2+4*x+3)*Tw(0,0,0,1,1)+(-7*x^2+7*x-2)*Tw(0 ,0,0,1,2)+(6*x^2-7*x-8)*Tw(0,0,0,2,0)+(3*x^2+x-7)*Tw(0,0,0,2,1)+(-7*x^2-6*x-3)* Tw(0,0,0,2,2)+(-9*x^2-9*x+9)*Tw(2,2,0,2,1)+(x^2+8*x+7)*Tw(2,2,0,2,2)+(5*x^2-7*x +1)*Tw(2,2,1,0,0)+(2*x^2+4*x-4)*Tw(2,1,2,0,0)+(-1-2*x)*Tw(2,1,2,0,1)+(-8*x^2+x+ 3)*Tw(2,1,2,0,2)+(-1-7*x)*Tw(2,1,2,1,0)+(8*x^2+7*x+6)*Tw(2,0,2,2,1)+(8*x^2-7*x-\ 5)*Tw(2,0,2,2,2)+(-7+5*x)*Tw(2,1,0,0,0)+(-2*x^2-x+6)*Tw(2,1,0,0,1)+(-4*x^2-9*x+ 9)*Tw(2,1,0,0,2)+(6*x^2+2*x+6)*Tw(2,1,0,1,0)+(8*x^2+6*x-8)*Tw(2,1,0,1,1)+(-x^2+ 3)*Tw(2,1,0,1,2)+(-7*x^2+9*x-9)*Tw(2,1,0,2,0)+(-5*x^2-6*x-8)*Tw(2,1,0,2,1)+(3*x ^2-x-6)*Tw(2,1,0,2,2)+(7*x^2-9)*Tw(2,1,1,0,0)+(-3*x^2-6*x-9)*Tw(2,0,0,2,0)+(-2* x^2+4*x-6)*Tw(2,0,0,2,1)+(-7*x^2-x+3)*Tw(2,0,0,2,2)+(-7*x^2-7*x)*Tw(2,0,1,0,0)+ (-3*x^2+5*x-1)*Tw(2,0,1,0,1)+(-8*x^2-9*x+3)*Tw(2,0,1,0,2)+(-7*x^2+6*x-1)*Tw(2,0 ,1,1,0)+(3*x^2-9*x+8)*Tw(2,0,1,1,1)+(-2*x^2-8*x+9)*Tw(2,0,1,1,2)+(4*x^2+7*x-4)* Tw(2,0,1,2,0)+(5*x^2-9*x+3)*Tw(2,0,1,2,1)+(-6*x^2-7*x)*Tw(2,0,1,2,2)+(-x^2+4*x+ 7)*Tw(2,0,2,0,0)+(-4*x^2-9)*Tw(2,0,2,0,1)+(2*x^2-6*x+1)*Tw(2,0,2,0,2)+(-9*x^2-2 *x+1)*Tw(1,2,2,1,0)+(-7*x^2-4*x+7)*Tw(1,2,2,1,1)+5*x^2*Tw(1,0,0,1,2)-2*x*Tw(1,1 ,2,0,1), (-5*x^2+9*x+8)*Tw(0,1,2,2,1)+(-7*x^2+3*x+3)*Tw(0,1,2,2,2)+(8*x^2-3*x+3 )*Tw(0,2,0,0,0)+(3*x^2+5*x-1)*Tw(0,2,0,0,1)+(8*x^2+2*x+8)*Tw(0,2,0,0,2)+(4*x^2+ 2*x+4)*Tw(0,2,0,1,0)+(9*x^2+7*x)*Tw(0,2,0,1,1)+(-8*x^2+4*x+2)*Tw(0,2,0,1,2)+(9* x^2-6*x-4)*Tw(0,2,0,2,0)+(9*x^2+7*x+3)*Tw(0,2,0,2,1)+(3*x^2+6*x-8)*Tw(0,2,0,2,2 )+(2+8*x)*Tw(0,2,1,0,0)+(-6*x^2+7*x+3)*Tw(0,2,1,0,1)+(-6*x^2+9*x+1)*Tw(0,2,1,0, 2)+(-5*x^2-6*x+6)*Tw(0,2,1,1,0)+(x^2+2*x-4)*Tw(0,2,1,1,1)+(8*x^2-2*x-7)*Tw(0,1, 1,0,2)+(6*x^2+5*x-7)*Tw(0,1,1,1,0)+(4*x^2+2*x+4)*Tw(0,1,1,1,1)+(-6*x^2+4*x-5)* Tw(0,1,1,1,2)+(7*x^2-x+1)*Tw(0,1,1,2,0)+(2*x^2+6*x+2)*Tw(0,1,1,2,1)+(4*x^2-2*x) *Tw(0,1,1,2,2)+(-x^2-4*x+2)*Tw(2,0,2,1,1)+(4*x^2+9*x-2)*Tw(2,0,2,1,2)+(-5*x^2-3 *x+9)*Tw(2,0,2,2,0)+(-5*x^2-9*x+4)*Tw(2,0,2,2,1)+(-2+6*x)*Tw(2,0,2,2,2)+(3*x^2+ 8*x+2)*Tw(2,1,0,0,0)+(-4*x^2-8*x-9)*Tw(2,1,0,0,1)+(x^2+2*x+1)*Tw(2,1,0,0,2)+(-2 *x^2+8*x+8)*Tw(2,1,0,1,0)+(-6*x^2-6*x+7)*Tw(2,1,0,1,1)+(-9*x^2-8*x+7)*Tw(2,1,0, 1,2)+(6*x^2+6*x+2)*Tw(2,1,0,2,0)+(-9*x^2+9*x+2)*Tw(1,2,1,2,0)+(-9*x^2-8*x+2)*Tw (1,2,1,2,1)+(2*x^2-2*x+4)*Tw(1,2,1,2,2)+(4*x^2-4*x+5)*Tw(1,1,1,1,2)+(9*x^2-8*x+ 7)*Tw(1,1,1,2,0)+(3*x^2+3*x-3)*Tw(1,1,1,2,1)+(7*x^2+5*x-7)*Tw(1,1,1,2,2)+(-3*x^ 2+9*x+2)*Tw(1,1,2,0,0)+(4+7*x)*Tw(2,2,2,1,1)+(5*x^2-2*x)*Tw(2,2,2,1,2)+(-6*x^2+ 3*x-6)*Tw(2,2,2,2,0)+(2*x^2+4*x+9)*Tw(2,2,2,2,1)+(x^2+5*x)*Tw(2,2,2,2,2)+(x^2+7 *x-7)*Tw(2,2,0,2,1)+(5*x^2+3*x+1)*Tw(2,2,0,2,2)+(-2*x^2-x-1)*Tw(2,2,1,0,0)+(-2* x^2+6*x-4)*Tw(2,2,1,0,1)+(x^2-6*x+6)*Tw(2,2,1,0,2)+(6*x^2+x-3)*Tw(2,2,1,1,0)+(7 *x^2+5*x-2)*Tw(2,2,1,1,1)+(7*x^2-6*x-8)*Tw(2,2,1,1,2)+(8*x^2-8)*Tw(2,2,1,2,0)+( -3*x^2+9*x-9)*Tw(2,2,1,2,1)+(-4*x^2+7*x-5)*Tw(2,2,1,2,2)+(-7*x^2-x-6)*Tw(2,2,2, 0,0)+(-5*x^2-x-5)*Tw(2,2,2,0,1)+(-3*x^2-5*x+4)*Tw(2,2,2,0,2)+(-2*x^2-9*x-9)*Tw( 0,2,2,0,0)+(-8*x^2-7*x+2)*Tw(0,2,2,0,1)+(3*x^2+4*x-8)*Tw(0,2,2,0,2)+(-8*x^2-2*x +6)*Tw(0,2,2,1,0)+(8*x^2+9*x-2)*Tw(0,2,2,1,1)+(4*x^2-3)*Tw(0,2,2,1,2)+(4*x^2+9* x+4)*Tw(0,2,2,2,0)+(-6*x^2+8)*Tw(0,2,2,2,1)+(-x^2+2*x+2)*Tw(0,2,2,2,2)+(8*x^2-9 *x+6)*Tw(1,1,1,0,0)+(6*x^2-3*x-4)*Tw(1,1,1,0,1)+(9*x^2+4*x+7)*Tw(1,1,1,0,2)+(-9 *x^2-6)*Tw(1,1,1,1,0)+(-6*x^2-6*x+6)*Tw(1,1,1,1,1)+(-8*x^2-4*x-3)*Tw(1,0,1,1,2) +(6*x^2+x-3)*Tw(1,0,1,2,0)+(3*x^2-3*x+2)*Tw(1,0,1,2,1)+(7*x^2+9*x-2)*Tw(1,0,1,2 ,2)+(-4*x^2-5*x+4)*Tw(1,0,2,0,0)+(-4*x^2-4*x-6)*Tw(1,0,2,0,1)+(8*x^2+6*x-2)*Tw( 1,0,2,0,2)+6*Tw(1,2,0,0,0)+(5*x^2-2*x+1)*Tw(1,0,2,1,0)+(5*x^2-7*x-9)*Tw(1,0,2,1 ,1)+(5*x^2+3*x+2)*Tw(1,0,2,1,2)+(-9*x^2+7)*Tw(1,0,2,2,0)+(8*x^2-4*x+7)*Tw(1,0,2 ,2,1)+(-9*x^2+6*x-4)*Tw(1,0,2,2,2)+(8*x^2+x+3)*Tw(1,1,0,0,0)+(7*x^2-x+3)*Tw(1,1 ,0,0,1)+(x^2-4*x+1)*Tw(1,0,0,0,0)+(-9*x^2+x-6)*Tw(1,0,0,0,1)+(7*x^2+2*x+4)*Tw(1 ,0,0,0,2)+(-7*x^2-6*x+5)*Tw(1,0,0,1,0)+(-4*x^2+7*x-5)*Tw(1,0,0,1,1)+(x^2+7*x-2) *Tw(1,0,0,1,2)+(-1+x)*Tw(1,0,0,2,0)+(-5*x^2-7*x+4)*Tw(1,0,0,2,1)+(9-8*x)*Tw(1,0 ,0,2,2)+(9*x^2-6*x+1)*Tw(1,0,1,0,0)+(2*x^2+8*x)*Tw(1,0,1,0,1)+(-5*x^2-8*x-6)*Tw (1,0,1,0,2)+(8*x^2+9*x-5)*Tw(1,0,1,1,0)+(2*x^2+8*x-6)*Tw(1,0,1,1,1)+(-x^2+5*x+2 )*Tw(0,2,1,1,2)+(-5*x^2+x+3)*Tw(0,2,1,2,0)+(-8*x^2-3*x-6)*Tw(2,0,2,1,0)+(-3*x^2 +9*x+2)*Tw(2,0,1,1,0)+(5*x^2+8)*Tw(2,0,1,1,1)+(-x^2+x+4)*Tw(2,0,1,1,2)+(3*x^2+4 *x+1)*Tw(2,0,1,2,0)+(-2*x^2-x)*Tw(2,0,1,2,1)+(8*x^2-2*x+4)*Tw(2,0,1,2,2)+(5*x^2 -7*x-4)*Tw(2,0,2,0,0)+(x^2+x+2)*Tw(2,0,2,0,1)+(-4*x^2+6*x-5)*Tw(2,0,2,0,2)+(-6* x^2-7*x+7)*Tw(1,2,2,0,0)+(9*x^2-3*x-6)*Tw(1,2,2,0,1)+(-2*x^2-6*x-4)*Tw(1,2,2,0, 2)+(-3*x^2+3*x+3)*Tw(1,2,2,1,0)+(4*x^2-8*x-1)*Tw(1,2,2,1,1)+(-2*x^2+8*x-5)*Tw(1 ,2,2,1,2)+(4*x^2-7*x)*Tw(1,2,2,2,0)+(-3*x^2+6*x+8)*Tw(1,2,2,2,1)+(-x^2-7*x-7)* Tw(1,2,2,2,2)+(x^2-9*x-9)*Tw(2,0,0,0,0)+(3*x^2+5*x+2)*Tw(2,0,0,0,1)+(-2*x^2-8*x +6)*Tw(2,0,0,0,2)+(3*x^2+3*x+3)*Tw(2,0,0,1,0)+(-8*x^2+9*x+1)*Tw(2,0,0,1,1)+(6*x ^2+9*x+2)*Tw(2,0,0,1,2)+(5*x^2-4*x+6)*Tw(1,2,0,1,1)+(2*x^2+x-1)*Tw(1,2,0,1,2)+( 5*x^2+7*x+3)*Tw(1,2,0,2,0)+(9*x^2-5*x+8)*Tw(1,2,0,2,1)+(3-7*x)*Tw(1,2,0,2,2)+(6 *x^2+x+1)*Tw(1,2,1,0,0)+(x^2-3*x)*Tw(1,2,1,0,1)+(8*x^2+9*x+1)*Tw(1,2,1,0,2)+(3* x^2+3*x-1)*Tw(1,2,1,1,0)+(7*x^2+6*x)*Tw(1,2,1,1,1)+(-8*x^2+3*x-9)*Tw(1,2,1,1,2) +(-8*x^2-8*x-8)*Tw(0,2,1,2,1)+(-7*x^2+6*x-1)*Tw(0,2,1,2,2)+(-3*x^2-5*x+2)*Tw(0, 1,2,0,0)+(-9*x^2-9*x+4)*Tw(0,1,2,0,1)+(9*x^2+5*x-7)*Tw(0,1,2,0,2)+(-8*x^2+x-4)* Tw(0,1,2,1,0)+(-x^2+x+2)*Tw(0,1,2,1,1)+(-6+3*x)*Tw(0,1,2,1,2)+(2*x^2+8)*Tw(0,1, 2,2,0)+(-9*x^2+9*x+1)*Tw(0,1,0,1,0)+(-9*x^2+4*x+7)*Tw(0,1,0,1,1)+(5*x^2+3*x+8)* Tw(0,1,0,1,2)+(5*x^2+6*x+3)*Tw(0,1,0,2,0)+(x^2+x-3)*Tw(0,1,0,2,1)+(-7*x^2-5*x+7 )*Tw(0,1,0,2,2)+(x^2-7*x+2)*Tw(0,1,1,0,0)+(-3*x^2-2*x-3)*Tw(0,1,1,0,1)+(-8*x^2+ 2*x+8)*Tw(0,0,2,1,2)+(-4*x^2+5*x-1)*Tw(0,0,2,2,0)+(8*x^2+5*x-4)*Tw(0,0,2,2,1)+( 7*x^2+9*x-5)*Tw(0,0,2,2,2)+(-8*x^2-2*x+8)*Tw(0,1,0,0,0)+(-9*x^2-4*x+8)*Tw(0,1,0 ,0,1)+(5*x^2+9)*Tw(0,1,0,0,2)+(-7*x^2-8*x+3)*Tw(0,0,1,0,2)+(-4*x^2+3*x-5)*Tw(0, 0,1,1,0)+(x^2-2*x+8)*Tw(0,0,1,1,1)+(7*x^2-7*x-5)*Tw(0,0,1,1,2)+(3*x^2+6*x-4)*Tw (0,0,1,2,0)+(3*x^2+7*x+6)*Tw(0,0,1,2,1)+(5*x^2+6*x-9)*Tw(0,0,1,2,2)+(9*x^2+9*x+ 5)*Tw(0,0,2,0,0)+(-7-5*x)*Tw(0,0,2,0,1)+(-3*x^2-7*x+8)*Tw(0,0,2,0,2)+(-5*x^2+4* x-1)*Tw(0,0,2,1,0)+(5*x^2+8*x-4)*Tw(0,0,2,1,1)+(-9*x^2-8*x+4)*Tw(2,2,2,1,0)+(4* x^2+7*x+8)*Tw(2,1,2,0,1)+(-9*x^2+7*x+1)*Tw(2,1,2,0,2)+(-5*x^2-x-8)*Tw(2,1,2,1,0 )+(-3*x^2-2*x+1)*Tw(2,1,2,1,1)+(-7*x^2+x-9)*Tw(2,1,2,1,2)+(6*x^2-x+2)*Tw(2,1,2, 2,0)+(5*x^2+8*x+1)*Tw(2,1,2,2,1)+(-7*x^2-9*x+3)*Tw(2,1,2,2,2)+(-9*x^2-6*x-4)*Tw (2,2,0,0,0)+(-6*x^2-x+1)*Tw(2,2,0,0,1)+(-x^2+2*x-4)*Tw(2,2,0,0,2)+(-7-6*x)*Tw(2 ,2,0,1,0)+(-6*x^2-7*x-1)*Tw(2,2,0,1,1)+(-6*x^2-5*x-3)*Tw(2,2,0,1,2)+(4*x^2-9*x) *Tw(2,2,0,2,0)+(4*x^2-6*x+8)*Tw(2,1,1,0,2)+(-9*x^2+x+9)*Tw(2,1,1,1,0)+(-7*x^2-4 *x+7)*Tw(2,1,1,1,1)+(-3*x^2-6*x+5)*Tw(2,1,1,1,2)+(-3*x^2-9*x+5)*Tw(2,1,1,2,0)+( 2*x^2-3*x+1)*Tw(2,1,1,2,1)+(-5*x^2+5*x)*Tw(2,1,1,2,2)+(3*x^2-5*x)*Tw(2,1,2,0,0) +(5*x^2-8*x+6)*Tw(2,1,1,0,1)+(-9*x^2+x+6)*Tw(2,1,0,2,2)+(x^2-8*x+8)*Tw(2,1,1,0, 0)+(-4*x^2+3*x+6)*Tw(2,1,0,2,1)+(-3*x^2-7)*Tw(2,0,0,2,0)+(9*x^2-x)*Tw(2,0,0,2,1 )+(-4*x^2-7*x-5)*Tw(2,0,0,2,2)+(-6-8*x)*Tw(2,0,1,0,0)+(3*x^2+8*x+5)*Tw(2,0,1,0, 1)+(x^2-9*x+3)*Tw(2,0,1,0,2)+(6*x^2+6*x-3)*Tw(0,0,0,0,0)+(-9*x^2-6*x+4)*Tw(0,0, 0,0,1)+(2*x^2-6*x-6)*Tw(0,0,0,0,2)+(8*x^2-6*x)*Tw(0,0,0,1,0)+(-5*x^2+8*x+4)*Tw( 0,0,0,1,1)+(-x^2-5*x-6)*Tw(0,0,0,1,2)+(-2*x^2-8*x+3)*Tw(0,0,0,2,0)+(-x^2+3*x+1) *Tw(0,0,0,2,1)+(8*x^2-5*x+3)*Tw(0,0,0,2,2)+(-5*x^2+7*x)*Tw(0,0,1,0,0)+(4*x^2+7* x-4)*Tw(0,0,1,0,1)+(-5*x^2-4*x-4)*Tw(1,1,2,0,1)+(9*x^2+x-6)*Tw(1,1,2,0,2)+(-4*x ^2+5*x+6)*Tw(1,1,2,1,0)+(-x^2-5*x+4)*Tw(1,1,2,1,1)+(3*x^2-x+8)*Tw(1,1,2,1,2)+(-\ 7*x^2-6*x-4)*Tw(1,1,2,2,0)+(-9*x^2+9*x+7)*Tw(1,1,2,2,1)+(9*x^2+4*x-2)*Tw(1,1,2, 2,2)+(3*x^2-4*x+6)*Tw(1,2,0,0,1)+(5*x^2-2*x+2)*Tw(1,2,0,0,2)+(-2*x^2+4*x+2)*Tw( 1,2,0,1,0)+(2*x^2-5*x-4)*Tw(1,1,0,0,2)+(8*x^2-9*x+4)*Tw(1,1,0,1,0)+(-9*x^2-4*x+ 4)*Tw(1,1,0,1,1)+(-4*x^2+x-4)*Tw(1,1,0,1,2)+(-8*x^2+9*x-7)*Tw(1,1,0,2,0)+(5*x^2 -2*x-3)*Tw(1,1,0,2,1)+(-7+3*x)*Tw(1,1,0,2,2), 3*Tw(1,1,1,1,2)+(5*x^2+4*x-1)*Tw( 1,2,0,0,0)+(7*x^2+6*x+9)*Tw(1,1,0,0,0)+(4*x^2+9*x+6)*Tw(1,1,0,0,1)+(8*x^2+6*x-9 )*Tw(1,1,0,0,2)+(-3*x^2+8*x-6)*Tw(1,1,0,1,0)+(5*x^2+4*x-7)*Tw(1,1,0,1,1)+(-4*x^ 2+8*x-8)*Tw(1,1,0,1,2)+(-9*x^2+7)*Tw(1,1,0,2,0)+(-8+3*x)*Tw(1,1,0,2,1)+(8*x^2+9 *x-7)*Tw(1,1,0,2,2)+(8-5*x)*Tw(1,1,1,0,0)+(6*x^2-8*x-7)*Tw(1,1,1,0,1)+(-3*x^2-8 *x+6)*Tw(1,1,1,0,2)+(-6*x^2-6*x+5)*Tw(1,1,1,1,0)+(-x^2+7*x-6)*Tw(1,1,1,1,1)+(-3 *x^2-4*x+9)*Tw(1,0,2,0,2)+(-9*x^2+2*x+2)*Tw(1,0,2,1,0)+(-5*x^2-3*x+9)*Tw(1,0,2, 1,1)+(3*x^2+3*x+1)*Tw(1,0,2,1,2)+(2*x^2+5*x+7)*Tw(1,0,2,2,0)+(-2*x^2-6*x-3)*Tw( 2,2,0,2,2)+(5*x^2-x+5)*Tw(2,2,1,0,0)+(8*x^2-9*x+6)*Tw(2,2,1,0,1)+(x^2+9*x-2)*Tw (2,2,1,0,2)+(3*x^2-7*x+5)*Tw(2,2,1,1,0)+(-x^2-7*x+1)*Tw(2,2,1,1,1)+(-6*x^2-9*x-\ 1)*Tw(2,2,1,1,2)+(7+5*x)*Tw(2,2,1,2,0)+(-2*x^2-7*x+3)*Tw(2,2,1,2,1)+(-4*x^2+6*x -4)*Tw(2,2,1,2,2)+(6*x^2+9*x+4)*Tw(2,1,2,1,1)+(9*x^2+8)*Tw(2,1,2,1,2)+(-6*x^2-9 *x+2)*Tw(2,1,2,2,0)+(6*x^2+x+7)*Tw(2,1,2,2,1)+(7*x^2+8*x+7)*Tw(2,1,2,2,2)+(-7*x ^2-3*x-8)*Tw(2,2,0,0,0)+(-5*x^2-6*x-1)*Tw(1,2,1,1,1)+(-6*x^2+5*x-4)*Tw(1,2,1,1, 2)+(x^2+4*x+8)*Tw(1,2,1,2,0)+(-4*x^2-x+1)*Tw(1,1,1,2,0)+(3*x^2+2*x-2)*Tw(1,1,1, 2,1)+(-6+3*x)*Tw(1,1,1,2,2)+(-5*x^2-3)*Tw(0,0,0,0,0)+(-2*x^2+5*x+7)*Tw(0,0,0,0, 1)+(6*x^2+5*x+6)*Tw(0,0,0,0,2)+(-9*x^2-8*x+3)*Tw(0,0,0,1,0)+(-3*x^2-7)*Tw(0,0,0 ,1,1)+(3+6*x)*Tw(0,0,0,1,2)+(3*x^2-2*x+8)*Tw(0,0,0,2,0)+(-x^2-6*x-2)*Tw(0,0,0,2 ,1)+(-x^2+2*x+6)*Tw(0,0,0,2,2)+(-4*x^2-9*x-6)*Tw(1,0,2,2,1)+(6*x^2+5*x-2)*Tw(1, 0,2,2,2)+(5*x^2-x+1)*Tw(1,0,2,0,1)+(-8*x^2-6*x-7)*Tw(1,0,2,0,0)+(-3*x^2+7*x+2)* Tw(1,0,1,2,2)+(6*x^2-2*x-7)*Tw(1,0,1,2,1)+(-8*x^2-8*x+8)*Tw(1,0,1,2,0)+(-8*x^2-\ 8*x+9)*Tw(1,0,1,1,2)+(6*x^2+x+8)*Tw(1,0,1,1,0)+(4*x^2+7*x+9)*Tw(1,0,1,1,1)+(-7* x^2+4*x-6)*Tw(1,0,1,0,2)+(-x^2+6*x-3)*Tw(1,0,1,0,1)+(-9*x^2+4*x-6)*Tw(1,0,1,0,0 )+(2*x^2+8)*Tw(0,2,2,1,2)+(7*x^2+3*x+5)*Tw(0,2,2,2,0)+(-7*x^2-8*x-5)*Tw(0,2,2,2 ,1)+(x^2+4*x-9)*Tw(0,2,2,2,2)+(9*x^2-2*x+4)*Tw(1,0,0,0,0)+(-8*x^2-7*x-2)*Tw(1,0 ,0,0,1)+(-4*x^2+x+3)*Tw(1,0,0,0,2)+(-9*x^2-x)*Tw(1,0,0,1,0)+(3*x^2-x+9)*Tw(1,0, 0,1,1)+(-2*x^2-7*x-1)*Tw(2,2,0,0,1)+(2*x^2+7*x+2)*Tw(2,2,0,0,2)+(-4*x^2+3*x+5)* Tw(2,2,0,1,0)+(-x^2-4*x+9)*Tw(2,2,0,1,1)+(-2*x^2-2*x-6)*Tw(2,2,0,1,2)+(-4*x^2-x +7)*Tw(2,2,0,2,0)+(-x^2-3*x+3)*Tw(2,2,0,2,1)+(7*x^2-8*x-4)*Tw(2,1,0,2,2)+(x^2-8 *x-5)*Tw(2,1,1,0,0)+(-6+6*x)*Tw(2,1,1,0,1)+(6*x^2-3*x-3)*Tw(2,1,1,0,2)+(-6*x^2- x+6)*Tw(2,1,1,1,0)+(-2*x^2+8*x-2)*Tw(2,1,1,1,1)+(6*x^2-2*x)*Tw(2,1,1,1,2)+(-5*x ^2-7*x+4)*Tw(2,1,1,2,0)+(7*x^2-x-4)*Tw(2,1,1,2,1)+(3+6*x)*Tw(2,1,1,2,2)+(3*x^2+ 9*x-1)*Tw(2,1,2,0,0)+(8*x^2+7*x-7)*Tw(2,1,2,0,1)+(-3*x^2-x+6)*Tw(2,1,2,0,2)+(7- x)*Tw(2,1,2,1,0)+(5*x^2-5*x-9)*Tw(2,0,2,0,2)+(2*x^2+2*x+2)*Tw(2,0,2,1,0)+(-6*x^ 2+6*x+5)*Tw(2,0,2,1,1)+(3*x^2+8*x-4)*Tw(2,0,2,1,2)+(-9*x^2+7*x+9)*Tw(2,0,2,2,0) +(4*x^2+6*x+8)*Tw(2,0,2,2,1)+(2*x^2-x+5)*Tw(0,2,0,2,1)+(-x^2+2*x+3)*Tw(0,2,0,2, 2)+(4*x^2-6*x+7)*Tw(0,2,1,0,0)+(-8*x^2+x-3)*Tw(0,1,0,2,1)+(x^2-5*x+2)*Tw(0,1,0, 2,2)+(-7*x^2-7*x)*Tw(0,1,1,0,0)+(-4*x^2-5*x-6)*Tw(0,1,1,0,1)+(-x^2-6*x+8)*Tw(0, 1,1,0,2)+(4*x^2+7*x+5)*Tw(0,1,1,1,0)+(-7*x^2-6*x-2)*Tw(0,1,1,1,1)+(-4*x^2+x-8)* Tw(0,1,1,1,2)+(-2*x^2-9*x+3)*Tw(0,0,2,1,2)+(-9*x^2-x+8)*Tw(0,0,2,2,1)+(-8*x^2+5 *x-5)*Tw(0,0,2,2,2)+(-5*x^2+8*x-4)*Tw(0,1,0,0,0)+(3*x+4)*Tw(0,1,0,0,1)+(6*x^2-6 *x+8)*Tw(0,1,0,0,2)+(5*x^2+3*x+4)*Tw(0,1,0,1,0)+(-6*x^2+3*x+2)*Tw(0,1,0,1,1)+(-\ 4*x^2+8*x-5)*Tw(0,1,0,1,2)+(6*x^2-3*x-7)*Tw(0,1,0,2,0)+(6*x^2-2*x-4)*Tw(0,0,1,0 ,0)+(-2*x^2-8*x+4)*Tw(0,0,1,0,1)+(-7*x^2-6*x+2)*Tw(0,0,1,0,2)+(5-2*x)*Tw(0,0,1, 1,0)+(2*x^2-2*x-9)*Tw(0,0,1,1,1)+(-5+9*x)*Tw(0,0,1,1,2)+(-3*x^2-9*x-6)*Tw(0,0,1 ,2,0)+(-3*x^2-9*x)*Tw(0,0,1,2,1)+(-9*x^2+x+1)*Tw(0,0,1,2,2)+(7*x^2+8*x-6)*Tw(0, 0,2,0,0)+(-3*x^2+5*x+2)*Tw(0,0,2,0,1)+(-9*x^2-4*x+8)*Tw(0,0,2,0,2)+(-6*x^2+5*x+ 1)*Tw(2,0,2,2,2)+(-3*x^2-3*x+5)*Tw(2,1,0,0,0)+(9*x^2+3*x-4)*Tw(2,1,0,0,1)+(-7*x ^2-4*x+4)*Tw(2,1,0,0,2)+(3*x^2-9*x-9)*Tw(2,1,0,1,0)+(-4*x^2+8*x-5)*Tw(2,1,0,1,1 )+(-4*x^2+2*x+5)*Tw(2,1,0,1,2)+(6*x^2-x+5)*Tw(2,1,0,2,0)+(9*x^2-2*x+7)*Tw(2,1,0 ,2,1)+(2*x^2-2*x-1)*Tw(2,0,0,1,1)+(-6*x^2-7*x-2)*Tw(2,0,0,1,2)+(4*x^2+4*x-7)*Tw (2,0,0,2,0)+(-5*x^2-9*x-6)*Tw(2,0,0,2,1)+(-9-2*x)*Tw(2,0,0,2,2)+(-5*x^2-8*x+4)* Tw(2,0,1,0,0)+(-2*x^2+7*x-3)*Tw(2,0,1,0,1)+(6*x^2+5*x-1)*Tw(2,0,1,0,2)+(-7*x^2+ 7*x-2)*Tw(2,2,2,0,0)+(-6*x^2+3*x-6)*Tw(2,2,2,0,1)+(8*x^2+2*x+1)*Tw(2,2,2,0,2)+( 3*x^2+x)*Tw(2,2,2,1,0)+(-7*x^2-9*x-5)*Tw(2,2,2,1,1)+(-2*x^2-6*x+5)*Tw(2,2,2,1,2 )+(7*x^2-3*x-9)*Tw(2,2,2,2,0)+(7*x^2+7*x-1)*Tw(2,2,2,2,1)+(-2*x^2-9*x+1)*Tw(2,2 ,2,2,2)+(-7*x^2+x+3)*Tw(1,1,2,0,0)+(x^2+2)*Tw(1,1,2,0,1)+(-9*x^2-9*x+6)*Tw(1,1, 2,0,2)+(-5*x^2-5*x+4)*Tw(1,1,2,1,0)+(3*x^2-2*x-2)*Tw(1,1,2,1,1)+(9*x^2-7*x+3)* Tw(1,1,2,1,2)+(-7*x^2+9*x+9)*Tw(1,1,2,2,0)+(7*x^2-9*x-1)*Tw(1,1,2,2,1)+(-8*x^2+ 6*x-4)*Tw(1,1,2,2,2)+(4*x^2-3*x+5)*Tw(1,0,0,1,2)+(-5*x^2-7*x-5)*Tw(1,0,0,2,0)+( 3*x^2+3*x+6)*Tw(1,0,0,2,1)+(9*x^2-x+7)*Tw(1,0,0,2,2)+(9*x^2-2*x)*Tw(0,2,1,0,1)+ (-x^2+5*x+1)*Tw(0,2,1,0,2)+(-3*x^2-7*x+2)*Tw(0,2,1,1,0)+(-3*x^2+2*x-4)*Tw(0,2,1 ,1,1)+(-3*x^2+7*x-6)*Tw(0,2,1,1,2)+(5*x^2+2*x+9)*Tw(0,2,1,2,0)+(-4*x^2-8*x+1)* Tw(0,2,1,2,1)+(-6*x^2-4*x+2)*Tw(0,2,1,2,2)+(4*x^2-1)*Tw(0,2,2,0,0)+(-6*x^2+3*x-\ 8)*Tw(0,2,2,0,1)+(-3*x^2-7*x-7)*Tw(0,2,2,0,2)+(3*x^2-7*x-5)*Tw(0,2,2,1,0)+(-8*x ^2+3*x-9)*Tw(0,2,2,1,1)+(2*x^2-6*x+7)*Tw(0,1,2,1,2)+(-5*x^2-1)*Tw(0,1,2,2,0)+(-\ 4*x^2-2*x)*Tw(0,1,2,2,1)+(-4*x^2-3*x+9)*Tw(0,1,2,2,2)+(2*x^2-3*x-8)*Tw(0,2,0,0, 0)+(3*x^2-6*x-9)*Tw(0,2,0,0,1)+(-9*x^2+3*x-7)*Tw(0,2,0,0,2)+(3*x^2+8*x+2)*Tw(0, 2,0,1,0)+(8*x^2+3*x-8)*Tw(0,2,0,1,1)+(3*x^2-7*x+4)*Tw(0,2,0,1,2)+(3*x^2+4*x+8)* Tw(0,2,0,2,0)+(6*x^2-7*x-8)*Tw(0,1,1,2,2)+(8*x^2+9*x-8)*Tw(0,1,2,0,0)+(9*x^2+4* x-2)*Tw(0,1,2,0,2)+(-2*x^2+7*x+8)*Tw(0,1,2,1,0)+(-x^2-8*x-5)*Tw(0,1,2,1,1)+(-8* x^2-4*x+9)*Tw(0,0,2,1,0)+(-8*x^2+8*x-6)*Tw(0,0,2,1,1)+(2*x^2-9)*Tw(0,1,1,2,0)+( -3*x^2-8*x+6)*Tw(0,1,1,2,1)+(-5*x^2-4*x-3)*Tw(2,0,1,1,0)+(-9*x^2-3*x-2)*Tw(2,0, 1,1,1)+(-3*x^2+2*x-6)*Tw(2,0,1,1,2)+(-3*x^2+7*x-6)*Tw(2,0,1,2,0)+(-x^2+9*x-3)* Tw(2,0,1,2,1)+(8*x^2-8*x+9)*Tw(2,0,1,2,2)+(7*x^2-2)*Tw(2,0,2,0,0)+(-x^2-9*x+4)* Tw(2,0,2,0,1)+(5*x^2+8*x+7)*Tw(1,2,1,2,1)+(6+4*x)*Tw(1,2,1,2,2)+(-x^2+7*x+4)*Tw (1,2,2,0,0)+(-4*x^2-8*x-3)*Tw(1,2,2,0,1)+(-8*x^2+7*x+7)*Tw(1,2,2,0,2)+(-4*x^2+9 )*Tw(1,2,2,1,0)+(8*x^2-2*x+4)*Tw(1,2,2,1,2)+(-8*x^2-x-9)*Tw(1,2,2,2,0)+(-4*x^2-\ 3*x+3)*Tw(1,2,2,2,1)+(4*x^2-8*x+1)*Tw(1,2,2,2,2)+(9*x^2-4*x+3)*Tw(2,0,0,0,0)+(-\ 6*x^2-1)*Tw(2,0,0,0,1)+(-9*x^2-8*x-9)*Tw(2,0,0,0,2)+(3*x^2-8*x-1)*Tw(2,0,0,1,0) +(-x^2+8*x+2)*Tw(1,2,0,0,1)+(-2*x^2-2*x+7)*Tw(1,2,0,0,2)+(4*x^2+9*x+9)*Tw(1,2,0 ,1,0)+(7*x^2-8*x)*Tw(1,2,0,1,1)+(6*x^2-6*x-1)*Tw(1,2,0,1,2)+(-7*x^2+9*x+7)*Tw(1 ,2,0,2,0)+(4*x^2-8*x-1)*Tw(1,2,0,2,1)+(6*x^2+x+2)*Tw(1,2,0,2,2)+(4*x^2+4*x+8)* Tw(1,2,1,0,0)+(7*x^2-4*x-8)*Tw(1,2,1,0,1)+(-5*x^2+5*x)*Tw(1,2,1,1,0)+3*x*Tw(1,2 ,2,1,1)+4*x*Tw(1,2,1,0,2)+6*x*Tw(0,1,2,0,1)+5*x^2*Tw(0,0,2,2,0), (-7*x^2+7*x+7) *Tw(0,2,2,1,1)+(-4*x^2+9*x+6)*Tw(0,2,2,1,2)+(x^2-x-7)*Tw(0,2,2,2,1)+(-2*x^2-2*x -9)*Tw(0,2,2,2,0)+(x^2+8*x-1)*Tw(0,2,2,2,2)+(5*x^2-3*x-3)*Tw(1,0,0,0,0)+(2*x^2-\ 8*x+7)*Tw(1,0,0,0,1)+(-8*x^2+x+9)*Tw(1,0,0,0,2)+(-4*x^2-3*x-4)*Tw(1,0,0,1,0)+(-\ 2*x^2+4*x+9)*Tw(1,0,0,1,1)+(9*x^2-x-8)*Tw(1,0,0,1,2)+(6*x^2+x+6)*Tw(1,0,0,2,0)+ (-4*x^2+3*x+7)*Tw(0,2,1,0,0)+(-x^2+3*x-5)*Tw(0,2,1,0,1)+(5*x^2-8*x+4)*Tw(0,2,1, 0,2)+(-4*x^2+x+4)*Tw(0,2,1,1,0)+(8*x^2-4*x-5)*Tw(0,2,1,1,1)+(1+7*x)*Tw(0,2,1,1, 2)+(-9*x^2-8*x+8)*Tw(0,2,1,2,0)+(-3*x^2-8*x-2)*Tw(0,2,1,2,1)+(-x^2+4*x)*Tw(0,2, 1,2,2)+(8*x^2+8*x+5)*Tw(0,2,2,0,0)+(8*x^2+6*x-4)*Tw(0,2,2,0,1)+(2*x^2+6*x+8)*Tw (0,2,0,0,1)+(3*x^2+2*x-8)*Tw(0,2,0,0,2)+(9*x^2+7*x-6)*Tw(0,2,0,1,0)+(x^2+7*x+5) *Tw(0,2,0,1,1)+(7*x^2+7*x-1)*Tw(0,2,0,1,2)+(-9*x^2+9*x+1)*Tw(0,2,0,2,0)+(8*x^2+ 2*x+5)*Tw(0,2,0,2,1)+(-9*x^2+4*x+1)*Tw(0,2,0,2,2)+(-9*x^2+4*x+7)*Tw(0,2,0,0,0)+ (9*x^2+6*x+5)*Tw(0,1,1,1,0)+(3*x^2-7*x+5)*Tw(0,1,1,1,1)+(-4*x^2-8*x-2)*Tw(0,1,1 ,1,2)+(8*x^2+7*x+7)*Tw(0,1,1,2,0)+(5*x^2+7*x-5)*Tw(0,1,1,2,1)+(-9*x^2-x-6)*Tw(1 ,1,2,1,0)+(7*x^2+3*x-6)*Tw(1,1,2,1,1)+(-4*x^2+x-6)*Tw(1,1,2,1,2)+(-4*x^2-4*x+2) *Tw(1,1,2,2,0)+(4*x^2+9*x+8)*Tw(1,1,1,0,0)+(9*x^2-3*x+7)*Tw(1,1,1,0,1)+(-3*x^2- x-3)*Tw(1,1,1,0,2)+(8*x^2+3*x-2)*Tw(1,1,0,0,2)+(9*x^2-5*x-1)*Tw(1,1,0,1,0)+(-5* x^2-6*x-5)*Tw(1,1,0,1,1)+(5*x^2-2*x-8)*Tw(1,1,0,1,2)+(-8*x^2-9*x+8)*Tw(1,1,0,2, 0)+(6*x^2-8*x-2)*Tw(1,1,0,2,1)+(5*x^2-9*x+4)*Tw(1,1,0,2,2)+(-3*x^2+4*x-4)*Tw(1, 0,1,1,2)+(6*x^2-4*x-1)*Tw(1,0,1,2,0)+(-6*x^2+6*x-8)*Tw(1,0,1,2,1)+(-5*x^2+5*x-3 )*Tw(2,2,1,2,2)+(x^2-5*x-1)*Tw(2,2,2,0,0)+(-x^2-7*x+2)*Tw(2,2,2,0,1)+(3*x^2-3*x -7)*Tw(2,2,2,0,2)+(7*x^2-6*x-9)*Tw(1,0,2,1,1)+(-6*x^2+6*x+1)*Tw(1,0,2,1,2)+(6*x ^2-x+6)*Tw(1,0,2,2,0)+(-2*x^2+3*x-8)*Tw(1,0,2,2,1)+(-3*x^2+2*x-4)*Tw(1,0,2,2,2) +(5*x^2-7*x-5)*Tw(1,1,0,0,0)+(4*x^2+7*x+8)*Tw(1,1,0,0,1)+(x^2+8*x-4)*Tw(1,0,0,2 ,2)+(9*x^2+5*x-9)*Tw(1,0,1,0,0)+(9*x^2+6*x-2)*Tw(1,0,1,0,1)+(-6*x^2-4*x+8)*Tw(1 ,0,1,0,2)+(-4*x^2-x+4)*Tw(1,0,1,1,0)+(-7*x^2+3*x+1)*Tw(1,0,1,1,1)+(4-5*x)*Tw(1, 0,0,2,1)+(5*x^2-x-4)*Tw(0,2,2,0,2)+(-6*x^2-8*x-3)*Tw(0,2,2,1,0)+(-8*x^2+8*x+1)* Tw(1,2,1,2,1)+(2*x^2-9*x)*Tw(1,2,1,2,2)+(7*x^2+x+7)*Tw(1,2,2,0,0)+(7*x^2-2*x+1) *Tw(1,2,2,0,1)+(9*x^2+3)*Tw(2,2,2,1,0)+(-x^2-6*x+5)*Tw(2,2,2,1,1)+(-9*x^2+4*x-8 )*Tw(2,2,2,1,2)+(4*x^2+6*x-1)*Tw(2,2,2,2,0)+(9*x^2+4*x-6)*Tw(2,2,2,2,1)+(-5*x^2 +3*x+4)*Tw(2,2,2,2,2)+(8*x^2+2*x+8)*Tw(2,2,1,1,1)+(-2*x^2-x-6)*Tw(2,2,1,1,2)+(6 *x^2+4*x-4)*Tw(0,1,1,2,2)+(-8*x^2+6*x)*Tw(0,1,2,0,0)+(-7*x^2+8*x-3)*Tw(0,1,2,0, 1)+(-7*x^2+9*x-6)*Tw(0,1,2,0,2)+(-3*x^2-5*x-1)*Tw(0,1,2,1,0)+(-9*x^2-3*x+2)*Tw( 0,1,2,1,1)+(5*x^2-9*x+1)*Tw(0,1,2,1,2)+(9*x^2-x-2)*Tw(0,1,2,2,0)+(3*x^2-3*x+8)* Tw(0,1,2,2,1)+(7*x^2+9*x+8)*Tw(0,1,2,2,2)+(7*x^2-9*x+1)*Tw(0,0,2,2,0)+(-x^2+2*x +2)*Tw(0,1,0,2,1)+(3*x^2-9*x-5)*Tw(0,1,0,2,2)+(3*x^2+9)*Tw(0,1,1,0,0)+(-2*x^2+5 *x+7)*Tw(0,1,1,0,1)+(-8*x^2-3)*Tw(0,1,1,0,2)+(7*x^2-9*x+2)*Tw(0,0,0,2,2)+(-x^2+ 6*x-4)*Tw(0,0,1,0,0)+(-2*x^2+9*x+5)*Tw(0,0,1,0,1)+(4*x^2+5*x-7)*Tw(0,0,1,0,2)+( 7*x^2-8*x+3)*Tw(0,0,1,1,0)+(-9*x^2-9*x-3)*Tw(0,0,1,1,1)+(-5*x^2-7*x-7)*Tw(0,0,1 ,1,2)+(-5*x^2-3*x+9)*Tw(0,0,1,2,0)+(2*x^2-5*x+3)*Tw(0,0,1,2,1)+(-6*x^2-x+4)*Tw( 0,0,1,2,2)+(4*x^2-3*x-7)*Tw(0,0,2,0,0)+(5*x^2-3)*Tw(0,0,2,0,1)+(3*x^2+7*x)*Tw(0 ,0,2,0,2)+(-x^2-5*x-4)*Tw(0,0,2,1,0)+(6*x^2-2*x+5)*Tw(0,0,2,1,1)+(x^2+1)*Tw(0,0 ,2,1,2)+(-9*x^2-5*x+8)*Tw(0,0,0,1,2)+(7*x^2-7*x+5)*Tw(0,0,0,2,0)+(-5*x^2-4*x-3) *Tw(0,0,0,2,1)+(7*x^2+7*x+8)*Tw(0,1,0,1,1)+(8*x^2+9*x+2)*Tw(0,1,0,1,2)+(x^2-1)* Tw(0,1,0,2,0)+(4*x^2-3*x+2)*Tw(1,2,2,0,2)+(-8*x^2-3*x+7)*Tw(1,2,2,1,0)+(7*x^2+4 *x-2)*Tw(1,2,2,1,1)+(-2*x^2+x-3)*Tw(1,2,2,1,2)+(6*x^2-2*x+5)*Tw(1,2,2,2,0)+(3*x ^2-2*x-4)*Tw(1,2,2,2,1)+(3*x^2-9*x-2)*Tw(1,2,2,2,2)+(-5*x^2+3*x+6)*Tw(2,0,0,0,0 )+(-3*x^2-4*x+5)*Tw(1,2,1,0,0)+(6+9*x)*Tw(1,2,1,0,1)+(4*x^2-3*x-2)*Tw(1,2,1,0,2 )+(8*x^2+9*x-6)*Tw(1,2,1,1,0)+(-4*x^2-x-5)*Tw(1,2,1,1,1)+(-8*x^2+3*x+1)*Tw(1,2, 1,1,2)+(-x^2-4*x-6)*Tw(1,1,2,2,1)+(8*x^2+7*x-5)*Tw(1,1,2,2,2)+(-9*x^2-2*x-9)*Tw (1,2,0,0,0)+(-9*x^2+9*x-9)*Tw(1,2,0,0,1)+(-5*x^2-9*x+6)*Tw(1,2,0,0,2)+(-5*x^2+6 *x-5)*Tw(1,2,0,1,0)+(-3*x^2+4*x)*Tw(1,2,0,1,1)+(-3*x^2-4*x+3)*Tw(1,2,0,1,2)+(-4 *x^2-6)*Tw(1,2,0,2,0)+(-7*x^2-9*x+7)*Tw(1,2,0,2,1)+(-x^2-5*x-5)*Tw(1,2,0,2,2)+( -2*x^2+5*x+8)*Tw(1,1,1,1,0)+(-8*x^2-5)*Tw(1,1,1,1,1)+(x^2-x-2)*Tw(1,1,1,1,2)+(-\ 2*x^2-2*x-2)*Tw(1,1,1,2,0)+(5*x^2+2*x+2)*Tw(1,1,1,2,1)+(-5*x^2+9*x+9)*Tw(1,1,1, 2,2)+(-7*x^2-x-8)*Tw(1,1,2,0,0)+(7*x^2-9*x-8)*Tw(1,1,2,0,1)+(7-x)*Tw(1,1,2,0,2) +(4*x^2-9*x-4)*Tw(2,1,0,2,0)+(-6-9*x)*Tw(2,1,0,2,1)+(-7*x^2+5*x+4)*Tw(2,1,0,2,2 )+(3*x^2-3*x-5)*Tw(2,1,1,0,0)+(-4*x^2+x-1)*Tw(2,1,1,0,1)+(-x^2+x+6)*Tw(2,1,1,0, 2)+(-5*x^2-6*x-2)*Tw(2,0,1,1,1)+(2*x^2-5*x+4)*Tw(2,0,1,1,2)+(x^2+x-5)*Tw(2,0,1, 2,0)+(x^2-9)*Tw(2,0,1,2,1)+(9*x^2-5*x)*Tw(2,0,1,2,2)+(-x^2-3*x-9)*Tw(2,0,2,0,0) +(-5*x^2+5*x+3)*Tw(2,0,2,0,1)+(-6*x^2-2*x+9)*Tw(2,0,2,0,2)+(9*x^2+6*x+8)*Tw(2,0 ,2,1,0)+(-3+7*x)*Tw(2,0,2,1,1)+(-3*x^2-6*x+1)*Tw(2,0,2,1,2)+(-6*x^2-7*x+6)*Tw(2 ,0,2,2,0)+(-3*x^2-6*x-7)*Tw(2,0,0,0,1)+(-5*x^2-2*x)*Tw(2,0,0,0,2)+(6*x^2-2*x+2) *Tw(2,0,0,1,0)+(-2*x^2+5*x-1)*Tw(2,0,0,1,1)+(5*x^2+2*x+8)*Tw(2,0,0,1,2)+(-4*x^2 -9*x-1)*Tw(2,0,0,2,0)+(9*x^2-x+4)*Tw(2,0,0,2,1)+(x^2+4*x+3)*Tw(2,0,0,2,2)+(2*x^ 2-9*x-4)*Tw(2,0,1,0,0)+(x^2+8*x-5)*Tw(2,0,1,0,1)+(7*x^2-4*x-4)*Tw(2,0,1,0,2)+(6 *x^2+4*x+5)*Tw(2,0,1,1,0)+(-2*x^2+3*x-1)*Tw(1,2,1,2,0)+(-7*x^2-6*x+3)*Tw(0,0,2, 2,1)+(9*x^2-5*x+9)*Tw(0,0,2,2,2)+(6*x^2-3*x+7)*Tw(0,1,0,0,0)+(-x^2-3*x+4)*Tw(0, 1,0,0,1)+(6*x^2-6*x+2)*Tw(0,1,0,0,2)+(2*x^2+7*x+7)*Tw(0,1,0,1,0)+(6-6*x)*Tw(2,2 ,1,2,0)+(6*x^2+3*x+3)*Tw(2,2,1,2,1)+(-9*x^2-9*x+9)*Tw(2,1,2,2,2)+(2*x^2+7*x+6)* Tw(2,2,0,0,0)+(-2*x^2-8*x+1)*Tw(2,2,0,0,1)+(-8*x^2-3*x+7)*Tw(2,2,0,0,2)+(7*x^2-\ 2)*Tw(2,2,0,1,0)+(-6*x^2-3*x+4)*Tw(2,2,0,1,1)+(-8*x^2-9*x+6)*Tw(2,2,0,1,2)+(-7* x^2-2*x-6)*Tw(2,2,0,2,0)+(-6*x^2+x-7)*Tw(2,2,0,2,1)+(x^2+4*x+8)*Tw(2,2,0,2,2)+( 6*x^2+7*x+8)*Tw(2,2,1,0,0)+(4*x^2+3*x-2)*Tw(2,2,1,0,1)+(-4*x^2+x-8)*Tw(2,2,1,0, 2)+(x^2-5*x+2)*Tw(2,2,1,1,0)+(-4*x^2+3*x-8)*Tw(2,1,1,1,0)+(-x^2-4*x-7)*Tw(2,1,1 ,1,1)+(-3*x^2+6*x+9)*Tw(2,1,1,1,2)+(2*x^2-6*x+1)*Tw(2,1,1,2,0)+(-8*x^2+7*x-9)* Tw(2,1,1,2,1)+(6*x^2+3*x+8)*Tw(2,1,1,2,2)+(x^2+9*x-1)*Tw(2,1,2,0,0)+(-9*x^2-3*x +1)*Tw(2,1,2,0,1)+(8*x^2-x-6)*Tw(2,1,2,0,2)+(-5*x^2-3*x-3)*Tw(2,1,2,1,0)+(x^2-7 *x+5)*Tw(2,1,2,1,1)+(8*x^2-6*x-6)*Tw(2,1,2,1,2)+(-6*x^2-9*x+9)*Tw(2,1,2,2,0)+(-\ 6*x^2+3*x-8)*Tw(2,1,2,2,1)+(x^2+3*x-3)*Tw(2,0,2,2,1)+(-5*x^2+9*x+9)*Tw(2,0,2,2, 2)+(2*x^2-3*x+1)*Tw(2,1,0,0,0)+(-5-x)*Tw(2,1,0,0,1)+(4*x^2+7*x-1)*Tw(2,1,0,0,2) +(x^2-2*x-5)*Tw(2,1,0,1,0)+(-3*x^2-5*x-1)*Tw(2,1,0,1,1)+(-2*x^2-4)*Tw(2,1,0,1,2 )+(-9*x^2+8*x+4)*Tw(0,0,0,0,0)+(6*x^2+6*x-3)*Tw(0,0,0,0,1)+(3*x^2+7*x+7)*Tw(0,0 ,0,0,2)+(9*x^2-7*x+6)*Tw(0,0,0,1,0)+(9*x^2+9*x+9)*Tw(0,0,0,1,1)+(-6*x^2-8*x-3)* Tw(1,0,1,2,2)+(x^2+9*x+6)*Tw(1,0,2,0,0)+(6*x^2+6*x-4)*Tw(1,0,2,0,1)+(-7*x^2+5*x +2)*Tw(1,0,2,0,2)+(3*x^2+9*x+4)*Tw(1,0,2,1,0)] # Output Gröbner basis: [-(1536*x^10-22480*x^9+23498*x^8+194254*x^7-92777*x^6+36400*x^5-106569*x^4-\ 116760*x^3-37690*x^2+52656*x+38340)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,2,1,2,0)-( 1142*x^10+35753*x^9-164954*x^8+100574*x^7-181726*x^6+9318*x^5+124135*x^4-77185* x^3-8758*x^2+24177*x-3510)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,2,1,2,0)+(17896*x^10 -50446*x^9-397683*x^8-246737*x^7-39846*x^6-248479*x^5+189547*x^4+116745*x^3-\ 104213*x^2+60686*x-22086)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467 *x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,2,1,2,0)+(566*x^10+5501* x^9-17184*x^8-561854*x^7-217118*x^6-251587*x^5-158674*x^4+279004*x^3+41487*x^2+ 59461*x-10314)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336* x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,2,2,0)-(7614*x^10+10555*x^9-\ 288345*x^8-104450*x^7-160192*x^6-156890*x^5+220864*x^4-30812*x^3+6843*x^2+73252 *x+22518)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,2,2,0)+(4430*x^10-69007*x^9-41948*x^8 -35492*x^7-127802*x^6+135659*x^5-141282*x^4+231330*x^3+107448*x^2-99608*x-18090 )/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3 -32302*x^2-23352*x-25164)*Tw(2,0,2,2,0)-(15954*x^10-74761*x^9-272104*x^8-116895 *x^7+142532*x^6-53936*x^5+269233*x^4+56509*x^3-103740*x^2-26734*x-14634)/(166*x ^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x ^2-23352*x-25164)*Tw(0,1,2,2,0)+(1154*x^10-47535*x^9-49941*x^8-59165*x^7+150649 *x^6-11192*x^5-71533*x^4+131349*x^3-20189*x^2-60617*x-2376)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(1,1,2,2,0)+(4072*x^10-2174*x^9-181821*x^8-3848*x^7+34734*x^6+16421*x^ 5+79020*x^4-44384*x^3-81343*x^2+82561*x+25920)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2 ,1,2,2,0)+(21556*x^10-71392*x^9-338293*x^8-429696*x^7-417776*x^6-155838*x^5+ 69408*x^4+210943*x^3+210015*x^2+1807*x+32994)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0 ,2,2,2,0)+(1816*x^10-35458*x^9-5917*x^8+275358*x^7+61295*x^6+172313*x^5-35540*x ^4-61306*x^3-206244*x^2+42721*x+7938)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,2,2,2,0)-( 2852*x^10-828*x^9-126153*x^8+72241*x^7-204614*x^6-3350*x^5-110491*x^4+2900*x^3+ 140088*x^2+26554*x+49464)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467 *x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,2,2,2,0)-(22306*x^10-\ 58169*x^9-483002*x^8-399539*x^7-164766*x^6-128604*x^5+354765*x^4+224863*x^3-\ 142275*x^2+48988*x-6696)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467* x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,0,0,1)-(24006*x^10-\ 92207*x^9-269668*x^8+253140*x^7-362145*x^6+90107*x^5+192903*x^4-162105*x^3+ 136615*x^2-20684*x+11610)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467 *x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,0,0,1)-(1004*x^10-5862 *x^9-7900*x^8+11537*x^7+65502*x^6+43620*x^5+52138*x^4-129277*x^3-132199*x^2-\ 35247*x-9234)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x ^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,0,0,1)-(11472*x^10-34684*x^9-\ 174344*x^8+135654*x^7+102464*x^6-18374*x^5+141156*x^4-15609*x^3-150367*x^2+ 46512*x+39690)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336* x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,0,0,1)-(226*x^10-31559*x^9-28649* x^8-40540*x^7-153794*x^6+144892*x^5-830*x^4-3883*x^3+189305*x^2-16988*x+7884)/( 166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(0,1,1,1,0)-(6254*x^10+21811*x^9-96243*x^8-71183*x^7 -543893*x^6-114556*x^5+38368*x^4+43131*x^3+185031*x^2+69941*x-3888)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(1,1,1,1,0)-(9558*x^10+7081*x^9-256462*x^8+64154*x^7+378846*x^ 6+6508*x^5+353933*x^4+18928*x^3-333304*x^2+7261*x-13122)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(2,1,1,1,0)-(10118*x^10-18065*x^9-189685*x^8-278176*x^7-71396*x^6-\ 255283*x^5+74284*x^4+123415*x^3-72513*x^2+94323*x+9936)/(166*x^10+5587*x^9-7865 *x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164) *Tw(0,2,1,1,0)+(3882*x^10-42095*x^9+18327*x^8+177760*x^7+36375*x^6+82345*x^5-\ 32560*x^4+56463*x^3+44012*x^2-96418*x-31266)/(166*x^10+5587*x^9-7865*x^8+180177 *x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,2,1,1 ,0)-(3038*x^10-68409*x^9+86073*x^8+170843*x^7+94119*x^6+180505*x^5+12955*x^4+ 31789*x^3-37525*x^2-70965*x-35316)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412 *x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,2,1,1,0)-(1892* x^10+14380*x^9+57317*x^8+364442*x^7+16961*x^6+138387*x^5+117780*x^4-210673*x^3-\ 242518*x^2+52991*x+28728)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467 *x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,2,1,0)+(5452*x^10-\ 49554*x^9-62076*x^8+245512*x^7-42246*x^6+118284*x^5-15305*x^4-64650*x^3-57068*x ^2-55725*x-19224)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+ 24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,2,1,0)-(20682*x^10-72271*x^ 9-408371*x^8-156246*x^7-337863*x^6+27805*x^5+208010*x^4+140497*x^3+187116*x^2-\ 4029*x+26676)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x ^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,2,1,0)-(19598*x^10-78547*x^9-\ 339452*x^8+71685*x^7-74642*x^6+169734*x^5+220454*x^4-141937*x^3-70010*x^2+5834* x+26676)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,2,1,0)+(14858*x^10-95631*x^9-283843*x ^8-423901*x^7-326585*x^6-70848*x^5-51732*x^4+147763*x^3+266523*x^2-1647*x+34938 )/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3 -32302*x^2-23352*x-25164)*Tw(1,1,2,1,0)-(1860*x^10+8562*x^9-45590*x^8+15944*x^7 -189979*x^6+89723*x^5+10362*x^4+33167*x^3+25331*x^2-27782*x-17172)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(2,1,2,1,0)-(14748*x^10-70514*x^9-217350*x^8+227720*x^7+328087 *x^6+140765*x^5+178420*x^4+19333*x^3-271911*x^2-94652*x+15066)/(166*x^10+5587*x ^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x -25164)*Tw(0,2,2,1,0)+(11126*x^10-67531*x^9-247522*x^8-241475*x^7+41871*x^6-\ 13456*x^5+53429*x^4+205597*x^3+97076*x^2-82392*x-24462)/(166*x^10+5587*x^9-7865 *x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164) *Tw(1,2,2,1,0)-(26524*x^10-107504*x^9-464809*x^8-197408*x^7-202707*x^6-164763*x ^5+233645*x^4+178140*x^3+43213*x^2+42771*x-3780)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2 ,2,2,1,0)+(5310*x^10-47299*x^9-31272*x^8+139358*x^7+135466*x^6+179918*x^5-64594 *x^4-103261*x^3-27735*x^2-31015*x+20574)/(166*x^10+5587*x^9-7865*x^8+180177*x^7 +33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,0,2,0)-\ 2*(9826*x^10-44307*x^9-146805*x^8-116511*x^7-197349*x^6-100072*x^5+18635*x^4+ 6348*x^3+98370*x^2+34241*x+7911)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x ^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,0,2,0)+(12742*x ^10-42787*x^9-157260*x^8+223598*x^7+7024*x^6+74801*x^5+125321*x^4-78736*x^3-\ 73977*x^2-58708*x-28188)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467* x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,0,0,1)-(5572*x^10-17916 *x^9-218749*x^8-337715*x^7-190159*x^6-45614*x^5-88912*x^4+160455*x^3+111134*x^2 -10529*x+21870)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336 *x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,0,0,1)+(13038*x^10-64645*x^9-\ 146833*x^8+14346*x^7+123169*x^6+91401*x^5+135384*x^4-17808*x^3-271145*x^2+32836 *x+11988)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(0,2,0,0,1)+(19824*x^10-94994*x^9-327591*x ^8-26590*x^7-581882*x^6-83980*x^5+90688*x^4-89614*x^3+345799*x^2-10829*x-14634) /(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(1,2,0,0,1)+(5912*x^10-59600*x^9-95736*x^8-315506*x^ 7-122852*x^6+20916*x^5-100835*x^4+139592*x^3-32672*x^2+29047*x+44280)/(166*x^10 +5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(2,2,0,0,1)-(4904*x^10-52308*x^9+28510*x^8+18763*x^7-235324*x^ 6+53027*x^5-82831*x^4+112216*x^3+109487*x^2+2137*x-22248)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(0,0,1,0,1)-(7930*x^10-49485*x^9-127888*x^8+12582*x^7-255318*x^6-15023 *x^5+44199*x^4-31028*x^3+164779*x^2+1167*x-32778)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1 ,0,1,0,1)-(2468*x^10-27436*x^9-28247*x^8+19207*x^7+47712*x^6-13392*x^5+8197*x^4 -96608*x^3-64523*x^2+52443*x-7236)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412 *x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,1,0,1)-(3306* x^10+14781*x^9-68455*x^8-241963*x^7-408003*x^6-227135*x^5-105223*x^4+87077*x^3+ 270381*x^2+49472*x+1620)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467* x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,1,0,1)-(10534*x^10-\ 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9364*x^10-71088*x^9-173475*x^8+306528*x^7+397173*x^6+206375*x^5+324726*x^4-\ 59223*x^3-289235*x^2-90484*x-67500)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,0,2,1)+( 1912*x^10-51680*x^9+13836*x^8+105998*x^7-120600*x^6+146681*x^5-5665*x^4-134141* x^3+87702*x^2-78744*x+4752)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,2,0,1)-(5396*x^10-\ 708*x^9-149997*x^8+48613*x^7-18303*x^6+24014*x^5+173215*x^4-55238*x^3-53124*x^2 -18153*x-16254)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336 *x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,2,0,1)+(18326*x^10-36029*x^9-\ 359633*x^8-390474*x^7-364406*x^6-150795*x^5+204378*x^4+224151*x^3+108179*x^2+ 45208*x-3564)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x ^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,2,0,1)-(16668*x^10-25122*x^9-\ 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39845*x^5+23094*x^4-172089*x^3+58359*x^2+108090*x+42822)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(0,1,0,1,0)+(342*x^10+17527*x^9-44481*x^8+96275*x^7-407885*x^6-44764*x ^5-179742*x^4-10793*x^3+46637*x^2+91524*x+30240)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1 ,1,0,1,0)+(3258*x^10-971*x^9-94201*x^8-592783*x^7-546533*x^6-198401*x^5-104058* x^4+167290*x^3+274154*x^2+72872*x-10746)/(166*x^10+5587*x^9-7865*x^8+180177*x^7 +33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,0,1,0)+ (6566*x^10-21805*x^9-39053*x^8-51319*x^7-338002*x^6-67500*x^5-108554*x^4-11668* x^3+123261*x^2-576*x+9450)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,2,0,1,0)+(7302*x^10-\ 45515*x^9+13584*x^8+46472*x^7-151027*x^6-54156*x^5-16661*x^4+12863*x^3+152353*x 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29795*x+9558)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x ^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,1,1,0)-(12266*x^10-82567*x^9-\ 149503*x^8+93734*x^7-200620*x^6+159035*x^5+1244*x^4-61406*x^3+178218*x^2-124948 *x-39150)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,0,2,0)+(5924*x^10+26226*x^9-202466*x^ 8-390264*x^7-306245*x^6-150549*x^5+146534*x^4+131799*x^3+101153*x^2+12348*x-\ 26892)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,0,2,0)-(3800*x^10+9668*x^9+18628*x^8+ 468174*x^7-306734*x^6+193062*x^5+38027*x^4-391039*x^3+132509*x^2+7208*x+28458)/ (166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(1,1,0,2,0)-(1256*x^10-64088*x^9+52148*x^8+234792*x^ 7+123420*x^6+50072*x^5+27966*x^4-218336*x^3-74029*x^2+32786*x-51246)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(2,1,0,2,0)+(13248*x^10-22042*x^9-292367*x^8+315860*x^7+35488* x^6+55290*x^5+371004*x^4-265831*x^3-42981*x^2-60889*x-2214)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(0,2,0,2,0)-(2934*x^10-27051*x^9-42696*x^8+19065*x^7+240950*x^6+196522 *x^5+130526*x^4-104418*x^3-211954*x^2-44853*x+5076)/(166*x^10+5587*x^9-7865*x^8 +180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw( 1,2,0,2,0)+(2390*x^10-19355*x^9-3634*x^8+353474*x^7-283563*x^6+10693*x^5-40106* x^4-201860*x^3+214599*x^2+30809*x+3294)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,2,0,2,0)-( 1980*x^10-43624*x^9+148347*x^8+264929*x^7-201523*x^6+83603*x^5-139217*x^4-\ 127287*x^3+200469*x^2-44053*x-16686)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,1,2,0)-( 10024*x^10-50204*x^9-133632*x^8-205717*x^7-147038*x^6-48787*x^5+94335*x^4+18444 *x^3-35937*x^2+34096*x+8100)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,1,2,0)+(11840*x^10 -60286*x^9-176337*x^8-162202*x^7-175226*x^6-30069*x^5+17116*x^4+170591*x^3-\ 49512*x^2+25054*x+28620)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467* x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,1,2,0)-(5402*x^10-49357 *x^9-104826*x^8-350225*x^7-166094*x^6-108804*x^5-110320*x^4+178901*x^3+162373*x ^2-4786*x+47142)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+ 24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,1,2,0)+(20990*x^10-102361*x ^9-328487*x^8+166501*x^7-508740*x^6+27287*x^5-32138*x^4-163555*x^3+189170*x^2+ 93625*x+40014)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336* x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,1,2,0)+(15810*x^10-74005*x^9-\ 287282*x^8+192406*x^7+397924*x^6+108688*x^5+390854*x^4-68587*x^3-213375*x^2-\ 20152*x-17928)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336* x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,0,0,0)+(9888*x^10-47874*x^9-53727 *x^8+204402*x^7+107194*x^6+229132*x^5+84707*x^4-97008*x^3-51289*x^2-63077*x+ 39204)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,0,0,0)+(7776*x^10-13844*x^9-160602*x^ 8+116958*x^7+82293*x^6+8591*x^5+297884*x^4-215889*x^3-156234*x^2-26098*x-24786) /(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(2,0,0,0,0)+(7310*x^10+221*x^9-146410*x^8+133733*x^7 +200997*x^6+100371*x^5+193056*x^4+17897*x^3-108957*x^2-54102*x+18306)/(166*x^10 +5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(1,2,1,0,0)-(12012*x^10-57132*x^9-247855*x^8-345350*x^7-480343 *x^6-157936*x^5-44838*x^4+235029*x^3+152528*x^2+72657*x+30726)/(166*x^10+5587*x ^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x -25164)*Tw(2,2,1,0,0)+(11202*x^10+19121*x^9-267985*x^8-505027*x^7-531700*x^6-\ 299821*x^5-4214*x^4+224342*x^3+136908*x^2+112382*x+44658)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(0,0,2,0,0)-(19754*x^10-55655*x^9-346139*x^8-396623*x^7-174883*x^6-\ 171902*x^5+175200*x^4+308023*x^3+71805*x^2-33729*x+2268)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(1,0,2,0,0)+(15260*x^10-42688*x^9-276895*x^8-84661*x^7-401003*x^6-\ 112125*x^5+165634*x^4-32490*x^3+160495*x^2+21842*x-9396)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(2,0,2,0,0)+(17670*x^10-105495*x^9-134052*x^8+212938*x^7-61853*x^6+ 162209*x^5+256414*x^4-78725*x^3-99051*x^2-32617*x-27594)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(0,1,2,0,0)-(3152*x^10+7320*x^9-84056*x^8+115280*x^7+68606*x^6+118827* x^5+110497*x^4-164884*x^3-235723*x^2-5444*x+20574)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1 ,1,2,0,0)+(9688*x^10-38212*x^9-136146*x^8+77747*x^7-255918*x^6-46320*x^5+4227*x ^4-130264*x^3-15508*x^2+29737*x+27972)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,2,0,0)-( 11400*x^10-45346*x^9-219981*x^8-441650*x^7-463859*x^6-154046*x^5-28410*x^4+ 263576*x^3+251615*x^2+56630*x+6372)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,2,2,0,0)-( 8330*x^10+11683*x^9-297694*x^8-369495*x^7-145750*x^6-215015*x^5+226962*x^4+ 154273*x^3+62454*x^2+24780*x+10314)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,2,2,0,0)-( 8256*x^10-11454*x^9-74899*x^8+282760*x^7-77316*x^6+176392*x^5+143565*x^4-197286 *x^3+63630*x^2-42158*x+7830)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,2,2,0,0)+(8638*x^10-\ 46541*x^9-228293*x^8+31540*x^7-15433*x^6+96125*x^5-37298*x^4-36630*x^3-93274*x^ 2+26711*x+28566)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+ 24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,0,1,0)-(14830*x^10-31877*x^ 9-221167*x^8-15381*x^7+187450*x^6-57621*x^5+193450*x^4-1707*x^3-194298*x^2+ 30532*x+19440)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336* x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,0,1,0)+(8984*x^10-106422*x^9-\ 44007*x^8-56723*x^7+287427*x^6-28735*x^5+102779*x^4+114474*x^3-252272*x^2+24342 *x-24246)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(1,2,1,1,2)+(11226*x^10-48859*x^9-279701*x ^8+54382*x^7-84788*x^6-56471*x^5+104951*x^4-184775*x^3-19023*x^2+97273*x+51840) /(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(2,2,1,1,2)-(10254*x^10-23141*x^9-172715*x^8+303282* x^7+360565*x^6+141122*x^5+338388*x^4+709*x^3-322544*x^2-41653*x+19710)/(166*x^ 10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^ 2-23352*x-25164)*Tw(0,0,2,1,2)+(11410*x^10-25323*x^9-208505*x^8-48491*x^7-\ 233842*x^6-134619*x^5+144523*x^4-38134*x^3+123275*x^2+21422*x-31698)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(1,0,2,1,2)+(2270*x^10-4853*x^9-59631*x^8-8640*x^7-458029*x^6-\ 16*x^5-84006*x^4+63798*x^3+174821*x^2+26287*x+1188)/(166*x^10+5587*x^9-7865*x^8 +180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw( 0,2,0,0,2)+(1556*x^10+24846*x^9-157186*x^8-21438*x^7+36858*x^6+8468*x^5+101179* x^4+33715*x^3+15206*x^2-9257*x+6966)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,2,0,0,2)+( 1574*x^10+6625*x^9-52858*x^8-55013*x^7+205076*x^6-121528*x^5+73412*x^4+43606*x^ 3-196153*x^2+77030*x+25974)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,2,0,0,2)-(13118*x^10 -13103*x^9-236458*x^8-48580*x^7+283495*x^6-41118*x^5+317237*x^4+190119*x^3-\ 227426*x^2+7458*x-12906)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467* x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,1,0,2)+(4978*x^10-75319 *x^9-48659*x^8+125408*x^7+196572*x^6+96976*x^5+9894*x^4+76947*x^3-298493*x^2+ 27861*x+11124)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336* x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,1,0,2)+(3152*x^10-6750*x^9-4127*x ^8-32757*x^7-537927*x^6-183379*x^5-238977*x^4-81799*x^3+249014*x^2+112170*x+ 5832)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414 *x^3-32302*x^2-23352*x-25164)*Tw(2,0,1,0,2)+(6324*x^10+3080*x^9-194693*x^8+ 196375*x^7+73568*x^6-32168*x^5+230767*x^4-142162*x^3+58364*x^2-14550*x+2376)/( 166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(0,1,1,0,2)+(28832*x^10-132992*x^9-477242*x^8-116966 *x^7-314175*x^6+140409*x^5+182875*x^4+89341*x^3+158485*x^2-76689*x+16308)/(166* x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302* x^2-23352*x-25164)*Tw(1,1,1,0,2)+(15542*x^10-62449*x^9-232811*x^8+143985*x^7-\ 156243*x^6+232387*x^5+184737*x^4-123205*x^3-23574*x^2-46905*x+3024)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(2,1,1,0,2)-(17250*x^10-84697*x^9-248446*x^8+331626*x^7-227264 *x^6+71353*x^5+110875*x^4-390620*x^3+31786*x^2+81970*x+58320)/(166*x^10+5587*x^ 9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(0,2,1,0,2)+(13900*x^10-30122*x^9-285866*x^8-353266*x^7-177349*x^6-\ 207654*x^5+385*x^4+155484*x^3-19739*x^2+110022*x+53460)/(166*x^10+5587*x^9-7865 *x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164) *Tw(1,2,1,0,2)+(11686*x^10-67555*x^9-114334*x^8+145632*x^7-344462*x^6+48500*x^5 +23895*x^4-85945*x^3+170549*x^2+19933*x+8262)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2 ,2,1,0,2)-(9700*x^10+6640*x^9-215413*x^8-468243*x^7-130364*x^6-308075*x^5+ 210112*x^4+296560*x^3-123613*x^2+84271*x-23166)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0 ,0,2,0,2)+(14098*x^10-49091*x^9-261617*x^8+74187*x^7+35239*x^6+40553*x^5+245625 *x^4+60142*x^3+36379*x^2-110014*x-34452)/(166*x^10+5587*x^9-7865*x^8+180177*x^7 +33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,2,0,2)- (6888*x^10-42060*x^9-127442*x^8+72079*x^7-331026*x^6+71525*x^5-134037*x^4-25780 *x^3+264346*x^2-83059*x+26460)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6 +4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,2,0,2)+(15572*x^ 10-23500*x^9-227559*x^8+142619*x^7+41370*x^6-25101*x^5+389395*x^4-97821*x^3-\ 151678*x^2+529*x+20898)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x ^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,2,0,2)+(490*x^10+33641*x ^9-231051*x^8-186647*x^7-2129*x^6-117012*x^5+142943*x^4+48903*x^3-52625*x^2-\ 24633*x-32562)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336* x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,2,0,2)-(33994*x^10-143215*x^9-\ 606451*x^8+148897*x^7+31065*x^6+163645*x^5+523225*x^4-97747*x^3-175892*x^2-\ 19277*x-15930)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336* x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,2,0,2)-(238*x^10-42879*x^9+25518* x^8-96150*x^7-160025*x^6-111137*x^5-108744*x^4-98048*x^3+23596*x^2+128743*x+ 36234)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(0,2,0,2,1)+(25264*x^10-70714*x^9-554299*x ^8-333009*x^7-677674*x^6-70377*x^5+139578*x^4+112160*x^3+202562*x^2+32634*x+ 8316)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414 *x^3-32302*x^2-23352*x-25164)*Tw(1,2,0,2,1)-(4450*x^10-43309*x^9-3264*x^8+ 119627*x^7-74791*x^6+218626*x^5-76409*x^4-45313*x^3-135160*x^2-17721*x+24408)/( 166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(2,2,0,2,1)+(3550*x^10+4831*x^9-172687*x^8-469941*x^ 7-296083*x^6-101129*x^5-116075*x^4+188627*x^3+81731*x^2+41306*x+40446)/(166*x^ 10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^ 2-23352*x-25164)*Tw(0,0,1,2,1)+(2554*x^10+21753*x^9-73285*x^8+15817*x^7-404004* x^6-131663*x^5+112590*x^4-232771*x^3+221638*x^2+83210*x-9882)/(166*x^10+5587*x^ 9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(1,0,1,2,1)+(8574*x^10-73145*x^9-14453*x^8-6883*x^7-232175*x^6-101874* x^5-117546*x^4+8857*x^3+85139*x^2+91848*x+11880)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2 ,0,1,2,1)+(5854*x^10-53259*x^9+13118*x^8+62337*x^7-101461*x^6+25770*x^5-195065* x^4-118470*x^3+89136*x^2+33222*x+57996)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,1,2,1)+( 13800*x^10-67204*x^9-173580*x^8+39133*x^7+277790*x^6+127366*x^5+178397*x^4+ 32932*x^3-256506*x^2-30306*x+21114)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,1,2,1)+( 14080*x^10-66722*x^9-120637*x^8+308234*x^7-98565*x^6+147026*x^5+293935*x^4-\ 232195*x^3+90721*x^2-31153*x-18900)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,1,2,1)-( 21586*x^10-79725*x^9-290136*x^8-112963*x^7-322644*x^6-15540*x^5+127173*x^4+ 136959*x^3+77836*x^2-49042*x-38448)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,2,1,2,1)-( 7198*x^10-18977*x^9-146991*x^8-154673*x^7+7738*x^6-68560*x^5+81442*x^4+197045*x ^3-25913*x^2+52010*x-42228)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,2,1,2,1)-(3166*x^10+ 8455*x^9-102891*x^8+128203*x^7-406574*x^6+17996*x^5+33944*x^4-65010*x^3+271904* x^2+2085*x-14580)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+ 24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,2,1,2,1)-(19278*x^10-85671*x^ 9-232610*x^8-25618*x^7+254913*x^6-37569*x^5+232503*x^4+37074*x^3-247814*x^2+ 51163*x+31266)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336* x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,1,2,0)+(11578*x^10-58387*x^9-\ 146551*x^8+75455*x^7-322886*x^6-13554*x^5-4440*x^4-102152*x^3+202058*x^2+29382* x-23706)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,1,1,2)+(2092*x^10-20500*x^9+44271*x^8 +198111*x^7-93905*x^6+95269*x^5+34877*x^4-231249*x^3+7461*x^2-6103*x-36504)/( 166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(2,1,1,1,2)+(7718*x^10-48457*x^9-122279*x^8-259492*x ^7-244745*x^6-222126*x^5-68138*x^4+98824*x^3+86835*x^2+72978*x-36126)/(166*x^10 +5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(0,2,1,1,2)+(12966*x^10-59699*x^9-306734*x^8-201922*x^7+167743 *x^6-178516*x^5+198819*x^4+136810*x^3-194460*x^2+65244*x-13500)/(166*x^10+5587* x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352* x-25164)*Tw(0,0,1,2,2)+(17026*x^10-55371*x^9-337005*x^8-220213*x^7+51995*x^6-\ 44928*x^5+198232*x^4+376472*x^3-66529*x^2-34744*x+23112)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(1,0,1,2,2)+(13094*x^10-35215*x^9-160784*x^8+81218*x^7-242338*x^6+ 40844*x^5-31443*x^4-78667*x^3+194491*x^2-15190*x+6696)/(166*x^10+5587*x^9-7865* x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)* Tw(2,0,1,2,2)+(5908*x^10-18920*x^9-38847*x^8+214254*x^7-12460*x^6+131425*x^5+ 99282*x^4-135767*x^3+27808*x^2-19790*x-6912)/(166*x^10+5587*x^9-7865*x^8+180177 *x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,1,2 ,2)+(2484*x^10-13556*x^9-51219*x^8-107890*x^7+81212*x^6-44520*x^5+97552*x^4+ 111457*x^3-97312*x^2+5589*x-30402)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412 *x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,2,2,0,2)+(4088* x^10-71846*x^9+7599*x^8+188049*x^7+210409*x^6+86196*x^5-70355*x^4-8437*x^3-\ 141707*x^2-13082*x-4158)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467* x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,2,2,0,2)+(1688*x^10-14318 *x^9+81999*x^8+56322*x^7-297628*x^6-17260*x^5-183789*x^4-60191*x^3+227803*x^2+ 29888*x+24462)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336* x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,2,2,0,2)-(3236*x^10-38816*x^9+79969 *x^8+77662*x^7-123265*x^6+93954*x^5-124747*x^4-88067*x^3+146912*x^2+8723*x+6210 )/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3 -32302*x^2-23352*x-25164)*Tw(0,0,0,1,2)+(7208*x^10-32218*x^9-57439*x^8-231404*x ^7-59830*x^6-69191*x^5-64415*x^4+108561*x^3+76073*x^2-14522*x+21492)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(1,0,0,1,2)+(8750*x^10-32899*x^9-210490*x^8-298653*x^7-79325*x ^6-31973*x^5+38249*x^4+190141*x^3-86624*x^2-15493*x-23652)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(2,0,0,1,2)-(2914*x^10-17383*x^9-65619*x^8-185836*x^7+43180*x^6-51489* x^5+103152*x^4+28702*x^3-50229*x^2+11840*x+19386)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0 ,1,0,1,2)-(23830*x^10-110419*x^9-378766*x^8+80298*x^7+39150*x^6+200828*x^5+ 331616*x^4-70677*x^3+39309*x^2-127483*x-49626)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1 ,1,0,1,2)-(870*x^10+67937*x^9-186380*x^8-144815*x^7+364710*x^6-77109*x^5+339744 *x^4+89811*x^3-234245*x^2-10346*x-11340)/(166*x^10+5587*x^9-7865*x^8+180177*x^7 +33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,0,1,2)- (14098*x^10-39959*x^9-324821*x^8+12666*x^7-113721*x^6-62*x^5+261280*x^4+171963* x^3-58378*x^2-16106*x-21708)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,2,0,1,2)+(21338*x^10 -92979*x^9-345039*x^8-150823*x^7+33992*x^6+55359*x^5+247840*x^4+40869*x^3-93621 *x^2-272*x+10314)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+ 24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,2,0,1,2)-(11832*x^10-40310*x^ 9-173305*x^8-104134*x^7-267953*x^6-99505*x^5-34840*x^4-49030*x^3+199407*x^2-\ 14806*x+1890)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x 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25164)*Tw(0,1,1,1,2)+(15806*x^10-32677*x^9-353361*x^8-582582*x^7-249577*x^6-\ 348348*x^5+152510*x^4+354891*x^3+20763*x^2+77324*x-35154)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(2,0,2,1,2)-(11478*x^10-91265*x^9-46069*x^8+323301*x^7-157266*x^6+ 124019*x^5-54106*x^4-178619*x^3-14387*x^2+68757*x+42498)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(0,1,2,1,2)-(1890*x^10-56753*x^9+6734*x^8+18351*x^7+436261*x^6+37776*x ^5-18161*x^4+147206*x^3-372512*x^2+16918*x+4158)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1 ,1,2,1,2)-(13394*x^10-72153*x^9-244138*x^8+234444*x^7-172274*x^6+189831*x^5+ 176866*x^4-409*x^3+44885*x^2-50616*x-45144)/(166*x^10+5587*x^9-7865*x^8+180177* x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,2,1, 2)+(868*x^10+5038*x^9+34268*x^8+443203*x^7+325092*x^6+96504*x^5+196475*x^4-\ 254205*x^3-92867*x^2-51974*x-37314)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,2,2,1,2)+( 2620*x^10+7438*x^9-30880*x^8-186880*x^7+207535*x^6-7078*x^5+159408*x^4+135582*x ^3-70962*x^2-86542*x+6534)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,2,2,1,2)+(17844*x^10 -87006*x^9-297826*x^8+160804*x^7-104525*x^6+179496*x^5+280633*x^4-88863*x^3+ 125178*x^2-111418*x+2322)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467 *x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,2,2,1,2)-(4242*x^10-\ 47909*x^9-47192*x^8-172605*x^7+174157*x^6+27657*x^5+167129*x^4+35187*x^3-77294* x^2-53843*x-21330)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+ 24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,0,2,2)+(8754*x^10-39519*x^9 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39068*x^3-211142*x^2+34719*x+6210)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412 *x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,2,2,2)-(6760* x^10+32376*x^9-287548*x^8-177835*x^7-178494*x^6-83485*x^5+266128*x^4+133886*x^3 +17733*x^2+29324*x+34776)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467 *x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,2,2,2)+(20958*x^10-\ 83089*x^9-488945*x^8-355187*x^7-145266*x^6-155443*x^5+211705*x^4+304779*x^3+ 41274*x^2-38680*x-36180)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467* x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,2,2,1)+(948*x^10+15818* x^9-82498*x^8+198215*x^7-367057*x^6+120121*x^5+92001*x^4-168347*x^3+272135*x^2-\ 26413*x-18198)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336* x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,2,2,1)-(6304*x^10-2624*x^9-255620 *x^8-267214*x^7+260797*x^6-86716*x^5+188649*x^4+191014*x^3-127231*x^2+34416*x+ 1134)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414 *x^3-32302*x^2-23352*x-25164)*Tw(2,0,2,2,1)-(2052*x^10+9190*x^9-22114*x^8+ 441395*x^7+92372*x^6+83773*x^5+164450*x^4-243310*x^3-48527*x^2-7495*x+34884)/( 166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(0,1,2,2,1)-(17072*x^10-93604*x^9-269632*x^8+375940* x^7+130071*x^6+70760*x^5+179730*x^4-174261*x^3-302347*x^2+45924*x+8640)/(166*x^ 10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^ 2-23352*x-25164)*Tw(1,1,2,2,1)+(12946*x^10-17905*x^9-256176*x^8-169365*x^7-\ 84837*x^6-102106*x^5+203325*x^4-4714*x^3+152455*x^2-13136*x+27486)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(2,1,2,2,1)-(2998*x^10+36671*x^9-105771*x^8+115319*x^7+250737* x^6-126454*x^5+258380*x^4+3807*x^3-118967*x^2-31886*x-59940)/(166*x^10+5587*x^9 -7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(0,2,2,2,1)-(10096*x^10-47244*x^9-107018*x^8+321022*x^7+236833*x^6+ 37074*x^5+262990*x^4-196541*x^3-237327*x^2+47142*x-24030)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(1,2,2,2,1)-(6134*x^10-64765*x^9-125595*x^8+216405*x^7+502037*x^6+ 126089*x^5+194354*x^4-56299*x^3-227837*x^2-3587*x-1458)/(166*x^10+5587*x^9-7865 *x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164) *Tw(2,2,2,2,1)+(2334*x^10+3285*x^9-11902*x^8+157831*x^7-6670*x^6-73003*x^5+ 50362*x^4-164210*x^3-107559*x^2-8810*x-28134)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0 ,0,0,0,2)+(27510*x^10-122911*x^9-525298*x^8-102369*x^7-65308*x^6+55780*x^5+ 336238*x^4+125957*x^3+9009*x^2-77285*x-56754)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1 ,0,0,0,2)+(12314*x^10-108439*x^9-211235*x^8+24411*x^7-211723*x^6+213051*x^5+ 23462*x^4-42025*x^3+38288*x^2+4475*x+14580)/(166*x^10+5587*x^9-7865*x^8+180177* x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,0,0, 2)+(3578*x^10+9371*x^9-31008*x^8+25410*x^7-198524*x^6+71938*x^5-43679*x^4-67929 *x^3+178224*x^2-16333*x-1242)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,0,0,2)+(9560*x^10-\ 49834*x^9-9413*x^8+164331*x^7-133369*x^6-74318*x^5-29724*x^4-159081*x^3-119711* x^2+133371*x+12420)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+ 24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,0,0,2)-(10782*x^10-35847*x^ 9-177536*x^8-232059*x^7-156408*x^6-45391*x^5+83543*x^4+133824*x^3-120489*x^2+ 46776*x+41526)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336* x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,0,0,2)-(14048*x^10-41448*x^9-\ 282860*x^8+56595*x^7-228637*x^6-60066*x^5+151439*x^4-58907*x^3+168440*x^2+27630 *x+38448)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,0,1,1)-(9076*x^10-47788*x^9-157547*x^ 8+26272*x^7-431263*x^6+19191*x^5-26698*x^4-827*x^3+220227*x^2+41200*x-2106)/( 166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(1,0,0,1,1)-(10708*x^10-48206*x^9-158096*x^8+345985* x^7+177*x^6+108725*x^5+176581*x^4-135263*x^3-24799*x^2+4802*x-39636)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(2,0,0,1,1)-(16260*x^10-29070*x^9-316402*x^8-27253*x^7-312092* x^6-175147*x^5+245826*x^4-47150*x^3+91692*x^2+97566*x+8478)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(0,1,0,1,1)-(4344*x^10-5288*x^9-101926*x^8+71612*x^7+3452*x^6-22886*x^ 5+5858*x^4+18659*x^3-67850*x^2-44158*x-8964)/(166*x^10+5587*x^9-7865*x^8+180177 *x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,0,1 ,1)-(9366*x^10-31227*x^9-95396*x^8+186541*x^7+287372*x^6+37726*x^5+206442*x^4-\ 52843*x^3-52000*x^2-65924*x-42336)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412 *x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,0,1,1)+(14700 *x^10-11744*x^9-285147*x^8-167103*x^7-107957*x^6-117235*x^5+225648*x^4+16424*x^ 3-162507*x^2+63825*x+12474)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,2,0,1,1)+(9216*x^10-\ 22348*x^9-118396*x^8+266751*x^7-189622*x^6+182756*x^5+121978*x^4-197662*x^3+ 139128*x^2-52821*x+9288)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467* x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,2,0,1,1)-(8720*x^10-7840* x^9-212014*x^8-320399*x^7-233853*x^6-127073*x^5+97187*x^4+237202*x^3+64237*x^2-\ 21696*x-33588)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336* x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,2,0,1,1)+(16332*x^10-71630*x^9-\ 290704*x^8-147321*x^7-289656*x^6+24598*x^5+158751*x^4+49811*x^3+150239*x^2+ 69015*x+3780)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x ^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,1,1,1)+(10530*x^10-23609*x^9-\ 197918*x^8-118014*x^7+271354*x^6-28080*x^5+286455*x^4+161253*x^3-152522*x^2-\ 102209*x-2268)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336* x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,1,1,1)+(6900*x^10-29944*x^9-\ 204017*x^8-106907*x^7-324795*x^6-42872*x^5+28135*x^4+53123*x^3+250881*x^2+42740 *x-30996)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,1,1,1)+(1126*x^10+5787*x^9-147211*x^8 -247660*x^7-67706*x^6-4937*x^5-2154*x^4+128216*x^3-13904*x^2+19829*x-1512)/(166 *x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302 *x^2-23352*x-25164)*Tw(0,1,1,1,1)+(12440*x^10-96110*x^9-153517*x^8-116470*x^7-\ 395931*x^6+7215*x^5+15023*x^4+58428*x^3+190531*x^2-1212*x-25488)/(166*x^10+5587 *x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352 *x-25164)*Tw(1,1,1,1,1)-(16664*x^10-51888*x^9-341268*x^8-184839*x^7+2310*x^6-\ 151937*x^5+214731*x^4-6821*x^3-83645*x^2+23400*x-34020)/(166*x^10+5587*x^9-7865 *x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164) *Tw(2,1,1,1,1)+(7132*x^10+4038*x^9-207446*x^8-8112*x^7+192213*x^6-144953*x^5+ 256503*x^4-61174*x^3-292876*x^2+81877*x-2916)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1 ,1,1,2,2)-(2806*x^10+295*x^9-53213*x^8+255625*x^7-125554*x^6+73769*x^5+181947*x ^4-163508*x^3+146293*x^2+10325*x-21330)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,1,2,2)-( 22332*x^10-90392*x^9-319873*x^8+114040*x^7-147007*x^6+150918*x^5+322881*x^4+ 35129*x^3-38219*x^2-74402*x-47520)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412 *x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,2,1,2,2)+(2312* x^10+15098*x^9-141589*x^8-348443*x^7-357822*x^6-137622*x^5-131895*x^4+152901*x^ 3+113877*x^2+31199*x+40770)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,2,1,2,2)-(4626*x^10-\ 13157*x^9-36476*x^8+127113*x^7-293673*x^6+102266*x^5-82589*x^4-74175*x^3+115673 *x^2-18690*x+3132)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+ 24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,2,1,2,2)-(9888*x^10-88252*x^9 +34726*x^8+266690*x^7-400491*x^6+124060*x^5-92761*x^4-288094*x^3+309719*x^2-\ 10885*x+29970)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336* x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,2,2,2)-(6980*x^10-32940*x^9-\ 128917*x^8+337266*x^7-27378*x^6+186692*x^5+29004*x^4-165455*x^3-17671*x^2+5934* x+16146)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,2,2,2)-(25520*x^10-99136*x^9-391368*x ^8-34609*x^7-235756*x^6-119383*x^5+276844*x^4-53969*x^3+107304*x^2+11787*x-\ 12582)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,0,0,0)+(16618*x^10-39881*x^9-260534*x ^8-102984*x^7-263822*x^6-78366*x^5-4202*x^4+96946*x^3+156803*x^2+8899*x+42498)/ (166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(1,1,0,0,0)+(11922*x^10-62733*x^9-180480*x^8-157530* x^7+71940*x^6+81851*x^5+16264*x^4+210119*x^3-48360*x^2-56882*x+29268)/(166*x^10 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33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,1,0,0)+( 5796*x^10-49162*x^9-31388*x^8+468475*x^7-106071*x^6+170233*x^5-31854*x^4-111183 *x^3+76517*x^2-23870*x-9720)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,1,0,0)-(16180*x^10 -74830*x^9-192190*x^8-188617*x^7-130741*x^6+12004*x^5+116496*x^4+134421*x^3-\ 66135*x^2-36685*x-10530)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467* x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,1,0,0)-(13216*x^10-\ 37074*x^9-241519*x^8-508294*x^7-286060*x^6-276007*x^5+29150*x^4+178891*x^3+ 87158*x^2+66778*x+48168)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467* x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,1,0,0)+(7496*x^10-35222 *x^9-85479*x^8+594173*x^7+59726*x^6+374381*x^5+114964*x^4-303874*x^3+10713*x^2-\ 155645*x-17064)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336 *x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,1,0,0)+(2700*x^10-9070*x^9-89142 *x^8-79790*x^7-455307*x^6+42834*x^5-127550*x^4-166261*x^3+203747*x^2+71455*x+ 53946)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,1,0,0)+(10972*x^10-44468*x^9-159519*x ^8-219739*x^7-41985*x^6-77834*x^5+106735*x^4+41761*x^3+50499*x^2-22285*x-39852) /(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(0,2,1,0,0)+Tw(1,1,2,2,2), -(3711*x^10+7081*x^9-\ 103109*x^8+356999*x^7-457305*x^6+495749*x^5-118355*x^4-252799*x^3+162484*x^2+ 50302*x-474)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^ 4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,2,1,2,1)+(24484*x^10-118293*x^9-\ 290204*x^8+199326*x^7+199344*x^6-472589*x^5-157722*x^4+173136*x^3+122122*x^2+ 1696*x-22664)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x ^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,2,2,1)+(1009*x^10+14188*x^9-102245 *x^8+291949*x^7-688107*x^6+567906*x^5-68615*x^4-328981*x^3+213718*x^2+60194*x+ 15154)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,2,2,1)-(7312*x^10-11195*x^9-234557*x^ 8+92580*x^7+421721*x^6-611265*x^5+169212*x^4+292988*x^3-40346*x^2+3076*x-14580) /(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(2,0,2,2,1)-(2370*x^10+7491*x^9-27463*x^8+520658*x^7 -439155*x^6+114124*x^5+385868*x^4-46429*x^3-81714*x^2-61288*x+21286)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(0,1,2,2,1)-(19889*x^10-128655*x^9-62995*x^8+491645*x^7-415909 *x^6-381928*x^5+518841*x^4+134016*x^3-290920*x^2-35902*x-3240)/(166*x^10+5587*x ^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x -25164)*Tw(1,1,2,2,1)+(15193*x^10-32484*x^9-194021*x^8+353869*x^7-120856*x^6-\ 76337*x^5+80602*x^4-35766*x^3+138530*x^2-27292*x+17012)/(166*x^10+5587*x^9-7865 *x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164) *Tw(2,1,2,2,1)-(3466*x^10+38177*x^9-151219*x^8+424057*x^7+128805*x^6-437309*x^5 +314075*x^4+25328*x^3-60598*x^2-41646*x-52432)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0 ,2,2,2,1)-(11846*x^10-64190*x^9-4121*x^8+455198*x^7-303211*x^6-369268*x^5+ 605914*x^4+1366*x^3-216840*x^2-6388*x-17376)/(166*x^10+5587*x^9-7865*x^8+180177 *x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,2,2,2 ,1)-(7237*x^10-79181*x^9-12352*x^8+271332*x^7+56117*x^6-370743*x^5+475599*x^4+ 239299*x^3-139628*x^2-70266*x-28054)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,2,2,2,1)+( 2719*x^10+874*x^9-9484*x^8+214061*x^7-242440*x^6-140824*x^5+189452*x^4-127366*x ^3-120852*x^2-25228*x-21196)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,0,0,2)+(32213*x^10 -169379*x^9-249984*x^8+507046*x^7-227523*x^6-339563*x^5+63355*x^4+119053*x^3+ 113112*x^2-22842*x-49258)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467 *x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,0,0,2)+(14465*x^10-\ 136203*x^9-9179*x^8+78392*x^7-454967*x^6+186948*x^5-42999*x^4+21003*x^3+39498*x ^2+33078*x+13522)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+ 24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,0,0,2)+(4132*x^10+5193*x^9-\ 31292*x^8+110355*x^7-280108*x^6+379557*x^5-130858*x^4-144309*x^3+123480*x^2+ 14556*x-5534)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x ^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,0,0,2)+(11175*x^10-68300*x^9+ 105839*x^8+85733*x^7-285649*x^6-77849*x^5+303388*x^4-121563*x^3-228396*x^2+ 65320*x+25050)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336* x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,0,0,2)-(4044*x^10-35035*x^9+71764 *x^8-218710*x^7+194867*x^6-122763*x^5-118735*x^4-22446*x^3-28242*x^2+67346*x+ 1260)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414 *x^3-32302*x^2-23352*x-25164)*Tw(2,0,2,0,1)+(2401*x^10-56517*x^9+88878*x^8+ 73434*x^7-402922*x^6+324044*x^5-86358*x^4-118202*x^3+92548*x^2-44732*x+2412)/( 166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(0,1,2,0,1)-(6306*x^10-6474*x^9-135715*x^8+324573*x^ 7-214310*x^6-170271*x^5+147650*x^4+8101*x^3-23464*x^2-6700*x-16098)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(1,1,2,0,1)+(21531*x^10-57312*x^9-248581*x^8+295140*x^7+45083* x^6-296076*x^5-107981*x^4+68244*x^3+86952*x^2+70898*x+4016)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(2,1,2,0,1)-(19535*x^10-44986*x^9-250927*x^8+466897*x^7+31140*x^6-\ 505492*x^5+235661*x^4+150640*x^3+392*x^2-13454*x-12636)/(166*x^10+5587*x^9-7865 *x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164) *Tw(0,2,2,0,1)-(786*x^10-20855*x^9+91804*x^8-155328*x^7+122187*x^6+123389*x^5-\ 251976*x^4-78843*x^3+165884*x^2-1444*x-17310)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1 ,2,2,0,1)-(11043*x^10-30692*x^9-76680*x^8+170616*x^7-409360*x^6+363168*x^5-\ 275846*x^4-182803*x^3+143878*x^2-9340*x+19510)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2 ,2,2,0,1)-(16475*x^10-60837*x^9-174033*x^8+512595*x^7-349977*x^6+137351*x^5+ 123596*x^4-73404*x^3+78430*x^2-7696*x+26124)/(166*x^10+5587*x^9-7865*x^8+180177 *x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,0,1 ,1)-(10566*x^10-66211*x^9-46645*x^8+98962*x^7-396005*x^6+394561*x^5-160714*x^4-\ 188678*x^3+125854*x^2+83704*x+23216)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,0,1,1)-( 12448*x^10-69457*x^9-42229*x^8+425470*x^7-452038*x^6+60191*x^5+295773*x^4-96402 *x^3-31018*x^2+15778*x-21368)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,0,1,1)-(19023*x^10 -50186*x^9-218259*x^8+512138*x^7-349177*x^6-148660*x^5+255151*x^4-143608*x^3-\ 2888*x^2+74242*x+28800)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x ^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,0,1,1)-(4924*x^10-15687* x^9-69112*x^8+74668*x^7-26231*x^6-113736*x^5-39178*x^4+58230*x^3-32804*x^2-\ 42780*x-9104)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x ^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,0,1,1)-(10899*x^10-48007*x^9-13369 *x^8+267916*x^7-59466*x^6-160225*x^5+266544*x^4+564*x^3+27662*x^2-61988*x-33520 )/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3 -32302*x^2-23352*x-25164)*Tw(2,1,0,1,1)+(17163*x^10-29886*x^9-221805*x^8+343614 *x^7-89934*x^6-569300*x^5+234673*x^4+118693*x^3-150106*x^2+30342*x+8778)/(166*x ^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x ^2-23352*x-25164)*Tw(0,2,0,1,1)+(10784*x^10-35469*x^9-55309*x^8+480402*x^7-\ 649731*x^6+408505*x^5+74131*x^4-147301*x^3+101592*x^2-27554*x+1410)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(1,2,0,1,1)-(10116*x^10-20643*x^9-166332*x^8-46501*x^7+167519* x^6-250412*x^5-258973*x^4+40598*x^3+116640*x^2+47686*x-3132)/(166*x^10+5587*x^9 -7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(2,2,0,1,1)+(19211*x^10-96189*x^9-133480*x^8+284565*x^7-273775*x^6+ 47299*x^5+45304*x^4-40707*x^3+95480*x^2+87440*x+11514)/(166*x^10+5587*x^9-7865* x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)* Tw(0,0,1,1,1)+(12389*x^10-35807*x^9-132731*x^8+278791*x^7+297082*x^6-577928*x^5 +110009*x^4+306173*x^3+830*x^2-109278*x-18838)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1 ,0,1,1,1)+(8029*x^10-42815*x^9-133198*x^8+89054*x^7-220229*x^6+259842*x^5-\ 134657*x^4-195296*x^3+181304*x^2+98362*x-2240)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2 ,0,1,1,1)+(24503*x^10-141771*x^9-93761*x^8+412154*x^7-746978*x^6+436390*x^5+ 51276*x^4-199589*x^3+10178*x^2+58928*x+34682)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1 ,1,1,2,0)-(22615*x^10-117309*x^9-39324*x^8+267465*x^7+120135*x^6-624515*x^5+ 424014*x^4+275427*x^3-193264*x^2-38580*x+11750)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2 ,1,1,2,0)-(1659*x^10-32291*x^9+74580*x^8-66157*x^7-251420*x^6+168303*x^5+65530* x^4-47694*x^3-95922*x^2+16596*x+41892)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,2,1,2,0)-( 1202*x^10+36235*x^9-214190*x^8+350173*x^7-337168*x^6-36319*x^5+100780*x^4-45095 *x^3-31660*x^2+39032*x+2190)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,2,1,2,0)+(20897*x^10 -77775*x^9-261220*x^8+285107*x^7+129371*x^6-643558*x^5+186648*x^4+99958*x^3-\ 95656*x^2+21228*x-19736)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467* x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,2,1,2,0)+(694*x^10+6870*x ^9-23818*x^8-489887*x^7+531426*x^6-276677*x^5-372603*x^4+42571*x^3+26408*x^2+ 78614*x+3926)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x ^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,2,2,0)-(8842*x^10+2676*x^9-283447* x^8+373706*x^7-189969*x^6-302266*x^5+222586*x^4-24422*x^3-27700*x^2+47020*x+ 29360)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,2,2,0)+(5250*x^10-81974*x^9+85872*x^8 -160268*x^7+147504*x^6+285349*x^5-458411*x^4+140822*x^3+146070*x^2-40702*x-\ 25312)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,2,2,0)-(18805*x^10-98329*x^9-115412*x ^8+315573*x^7+41372*x^6-493374*x^5+233575*x^4+139412*x^3-24504*x^2-45362*x-\ 20084)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,2,2,0)+(13368*x^10-40355*x^9-133592*x ^8+313891*x^7-262553*x^6-24137*x^5+76274*x^4-198722*x^3+70798*x^2+39964*x-8792) /(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(1,0,2,1,2)+(18520*x^10-52764*x^9-251415*x^8-4604*x^ 7+458784*x^6-654301*x^5-133368*x^4+100460*x^3+30222*x^2+94940*x-7496)/(166*x^10 +5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(2,0,2,1,2)-(13481*x^10-116025*x^9+137979*x^8+210961*x^7-\ 490967*x^6+297693*x^5+195177*x^4-61169*x^3-121880*x^2+9390*x+31770)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(0,1,2,1,2)-(2196*x^10-68143*x^9+105608*x^8-239278*x^7+491952* x^6-591562*x^5+181107*x^4+401102*x^3-256900*x^2-47758*x-13384)/(166*x^10+5587*x ^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x -25164)*Tw(1,1,2,1,2)-(15625*x^10-98556*x^9-83448*x^8+392314*x^7-460946*x^6+ 148430*x^5+19721*x^4-18610*x^3+77844*x^2+17678*x-24312)/(166*x^10+5587*x^9-7865 *x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164) *Tw(2,1,2,1,2)+(1003*x^10+4267*x^9+27873*x^8+439458*x^7-320843*x^6-2158*x^5+ 454834*x^4-107734*x^3-59860*x^2-71716*x-36976)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0 ,2,2,1,2)-(27953*x^10-150109*x^9-140962*x^8+558823*x^7-497261*x^6-65392*x^5+ 152473*x^4+5941*x^3+148282*x^2-68030*x-51698)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1 ,1,0,1,2)-(916*x^10+74697*x^9-294893*x^8+315519*x^7+325569*x^6-785323*x^5+ 333857*x^4+280780*x^3-95506*x^2-30378*x-23824)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2 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273746*x^6+113747*x^5+116816*x^4+133861*x^3-10932*x^2-83992*x+7550)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(1,0,0,0,0)+(9182*x^10-21354*x^9-128861*x^8+495218*x^7-415503* x^6-366213*x^5+409181*x^4-62624*x^3-104446*x^2-33214*x-22568)/(166*x^10+5587*x^ 9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(2,0,0,0,0)-(29885*x^10-140200*x^9-156350*x^8+473631*x^7-427759*x^6-\ 141876*x^5+202006*x^4-155201*x^3+80298*x^2+14440*x+12582)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(0,1,0,0,0)+(19386*x^10-65036*x^9-134998*x^8+255162*x^7-61869*x^6+ 116941*x^5-150751*x^4+52531*x^3+81948*x^2-21558*x+18722)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(1,1,0,0,0)+(13921*x^10-85767*x^9-40085*x^8-47956*x^7+244397*x^6-\ 176910*x^5-174024*x^4+318366*x^3+36708*x^2-61584*x+2888)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(2,1,0,0,0)+(23513*x^10-93289*x^9-270362*x^8+755902*x^7-573735*x^6-\ 299007*x^5+424589*x^4-28485*x^3+20532*x^2+14066*x-38174)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(0,2,0,0,0)+(7803*x^10-2876*x^9-145091*x^8+52820*x^7-141808*x^6+300824 *x^5-358392*x^4-165876*x^3+133932*x^2+75096*x+59752)/(166*x^10+5587*x^9-7865*x^ 8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw (1,2,0,0,0)-(14196*x^10-1023*x^9-268511*x^8+384471*x^7+30293*x^6-94809*x^5-\ 131269*x^4+134880*x^3+183218*x^2-38462*x+6744)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2 ,2,0,0,0)+(10341*x^10-75522*x^9+73416*x^8-21944*x^7+63348*x^6-194013*x^5+77804* x^4+162896*x^3+13066*x^2-52964*x+6064)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,1,0,0)+( 6585*x^10-69348*x^9+84044*x^8+165648*x^7-465034*x^6+476770*x^5+25767*x^4-121276 *x^3+38536*x^2-2806*x+10868)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,1,0,0)-(19017*x^10 -100620*x^9-26211*x^8+68380*x^7-1639*x^6-285973*x^5-94901*x^4+134489*x^3+8*x^2-\ 8266*x-5546)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^ 4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,1,0,0)-(15566*x^10-53002*x^9-147262 *x^8-44918*x^7+228189*x^6-318919*x^5-150846*x^4+58040*x^3+37750*x^2+31944*x+ 42284)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,1,0,0)+(8663*x^10-52215*x^9-2574*x^8+ 570395*x^7-811513*x^6+474213*x^5+143548*x^4-78929*x^3+56360*x^2-119088*x-36706) /(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(1,1,1,0,0)+(3149*x^10-13581*x^9-71690*x^8+34844*x^7 -541127*x^6+458189*x^5-136625*x^4-212987*x^3+66624*x^2+72278*x+44486)/(166*x^10 +5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(2,1,1,0,0)+(12916*x^10-60333*x^9-62890*x^8+55191*x^7-3539*x^6 -183196*x^5-10950*x^4-66361*x^3+81906*x^2+7904*x-27578)/(166*x^10+5587*x^9-7865 *x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164) *Tw(0,2,1,0,0)+(8537*x^10-7684*x^9-122614*x^8+430201*x^7+2939*x^6-212541*x^5+ 186416*x^4+240296*x^3-44710*x^2-85128*x-16476)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1 ,2,1,0,0)-(14073*x^10-77435*x^9-115275*x^8-85495*x^7+67195*x^6-16026*x^5-315970 *x^4+32437*x^3+79270*x^2+85176*x+44922)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,2,1,0,0)+( 13037*x^10+8641*x^9-255486*x^8+13027*x^7+156832*x^6-219240*x^5-268223*x^4+20758 *x^3+35272*x^2+102418*x+49600)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6 +4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,2,0,0)-(23157*x^ 10-83055*x^9-194261*x^8+157214*x^7+295269*x^6-385759*x^5-201082*x^4+186957*x^3+ 121320*x^2-16584*x+2994)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467* x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,2,0,0)+(17869*x^10-\ 64504*x^9-162538*x^8+343577*x^7-414154*x^6+31975*x^5+3973*x^4-199500*x^3+100366 *x^2+52630*x+17620)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+ 24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,2,0,0)+(20851*x^10-134874*x ^9+80960*x^8+386048*x^7-444978*x^6-105407*x^5+245481*x^4-1837*x^3-50508*x^2-\ 6134*x-8234)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^ 4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,2,0,0)-(3656*x^10+4072*x^9-91755*x^ 8+280461*x^7-305032*x^6-279702*x^5+246262*x^4+123044*x^3-191504*x^2-35392*x-\ 5560)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414 *x^3-32302*x^2-23352*x-25164)*Tw(1,1,2,0,0)+(11334*x^10-54265*x^9-44129*x^8+ 234832*x^7-392970*x^6+23708*x^5+68865*x^4-84879*x^3-86666*x^2-3314*x+22946)/( 166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(2,1,2,0,0)-(13388*x^10-62289*x^9-111179*x^8-136853* x^7+130390*x^6+69562*x^5-377541*x^4-38106*x^3+187080*x^2+101926*x+27784)/(166*x ^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x ^2-23352*x-25164)*Tw(0,2,2,0,0)+(1427*x^10-53363*x^9+26391*x^8-104894*x^7+ 291138*x^6-74716*x^5-137724*x^4+160181*x^3+26034*x^2-75440*x-22642)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(1,1,2,2,0)-(3515*x^10-21522*x^9-133624*x^8+255045*x^7-115909* x^6-156642*x^5+277497*x^4+78766*x^3-136428*x^2-6894*x-8588)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(0,2,1,0,1)-(12818*x^10-87313*x^9-92655*x^8-352235*x^7+323732*x^6-\ 43194*x^5-484903*x^4-12614*x^3+160280*x^2+62602*x+19664)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(1,2,1,0,1)-(14437*x^10-114700*x^9-16033*x^8+297575*x^7-188339*x^6-\ 145043*x^5+210339*x^4+261194*x^3-95638*x^2-31438*x-5876)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(2,2,1,0,1)-(8283*x^10-19165*x^9-152412*x^8+74793*x^7-18165*x^6-118106 *x^5-138957*x^4+104805*x^3+68758*x^2+6814*x+9318)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0 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39280*x^8+11134*x^7+3681*x^6-89333*x^5-76557*x^4+129196*x^3-67266*x^2-27114*x+ 23464)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,0,1,0)-(5998*x^10-26297*x^9-58379*x^8 +356094*x^7-491134*x^6+286192*x^5+245656*x^4-114768*x^3-76892*x^2+56728*x+41784 )/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3 -32302*x^2-23352*x-25164)*Tw(0,1,0,1,0)+(229*x^10+14619*x^9-53551*x^8+34228*x^7 -226746*x^6+254556*x^5-150911*x^4-63430*x^3-88492*x^2+72318*x+30600)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(1,1,0,1,0)+(3859*x^10-2893*x^9-88513*x^8-381192*x^7+54184*x^6 +101734*x^5-445259*x^4-219256*x^3+200220*x^2+150878*x+27388)/(166*x^10+5587*x^9 -7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(2,1,0,1,0)+(7618*x^10-34308*x^9+24589*x^8-72883*x^7-207453*x^6+231393 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55908*x^2-8726*x-17636)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x ^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,1,1,0)-(26710*x^10-\ 148945*x^9-65414*x^8+522407*x^7-536579*x^6+30848*x^5+266084*x^4-88947*x^3-3714* x^2+3532*x+11386)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+ 24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,1,1,0)-(378*x^10-32909*x^9+ 11744*x^8-10041*x^7-218777*x^6+371292*x^5-145345*x^4-74872*x^3+173212*x^2+31030 *x+10208)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,1,1,0)-(7246*x^10+16540*x^9-99888*x^8 +155526*x^7-278764*x^6+198557*x^5-158118*x^4-208955*x^3+76228*x^2+117104*x+ 34078)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,1,1,0)-(11096*x^10-4303*x^9-238521*x^ 8+496010*x^7+115283*x^6-793618*x^5+496780*x^4+320211*x^3-211934*x^2-43240*x-\ 33466)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,1,1,0)-(11802*x^10-32423*x^9-125984*x ^8+1714*x^7+247963*x^6-488629*x^5+99666*x^4+68817*x^3-95256*x^2+48304*x+18642)/ (166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(0,2,1,1,0)+(4437*x^10-56312*x^9+110065*x^8-92251*x^ 7-22783*x^6+199433*x^5-162267*x^4-13604*x^3+100974*x^2-49002*x-10352)/(166*x^10 +5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(1,2,1,1,0)-(3635*x^10-79973*x^9+203819*x^8-116923*x^7-53849*x ^6+123604*x^5-46422*x^4+27131*x^3+37222*x^2-22064*x-15066)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(2,2,1,1,0)-(2192*x^10+13637*x^9+43846*x^8+355284*x^7-398838*x^6-\ 117711*x^5+389161*x^4+54427*x^3-262388*x^2+4474*x+19750)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(0,0,2,1,0)+(6277*x^10-66321*x^9+41587*x^8+78672*x^7-294235*x^6+112690 *x^5-20141*x^4-11347*x^3-27862*x^2-33198*x-10266)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1 ,0,2,1,0)-(24206*x^10-104304*x^9-228934*x^8+389711*x^7-246984*x^6+41879*x^5-\ 106917*x^4+73231*x^3+175936*x^2+26498*x+26694)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2 ,0,2,1,0)-(22888*x^10-112581*x^9-159925*x^8+444403*x^7-556685*x^6-127852*x^5+ 259064*x^4+73070*x^3-43416*x^2-6300*x+10384)/(166*x^10+5587*x^9-7865*x^8+180177 *x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,2,1 ,0)+(17511*x^10-121582*x^9-96367*x^8-102704*x^7-19946*x^6+159216*x^5-340271*x^4 -15901*x^3+225490*x^2+15254*x+25518)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,2,1,0)-( 2090*x^10+5195*x^9-47539*x^8+42533*x^7-171737*x^6+104265*x^5-158151*x^4-6740*x^ 3+42398*x^2+28526*x-5560)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467 *x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,2,1,0)-(17150*x^10-\ 100296*x^9-52439*x^8+319461*x^7-13974*x^6-408936*x^5+224388*x^4+351578*x^3-\ 134448*x^2-137660*x-15028)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,2,2,1,0)+(13106*x^10 -86347*x^9-112047*x^8+57871*x^7+233347*x^6-107785*x^5-207609*x^4+143538*x^3+ 162910*x^2-55670*x-40980)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467 *x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,2,2,1,0)-(31031*x^10-\ 151489*x^9-207533*x^8+341405*x^7-21140*x^6-371415*x^5+79818*x^4+84741*x^3+38064 *x^2+30052*x+10854)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+ 24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,2,2,1,0)+(6229*x^10-59911*x^9 +57210*x^8+82843*x^7-172087*x^6+172336*x^5+59525*x^4+77629*x^3-24886*x^2-62998* x-17210)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,0,2,0)-(23112*x^10-118836*x^9-96331*x ^8+194463*x^7-227431*x^6+36624*x^5-36763*x^4-171392*x^3+79792*x^2+45882*x+22784 )/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3 -32302*x^2-23352*x-25164)*Tw(1,0,0,2,0)-(14312*x^10-109666*x^9+20649*x^8+79766* x^7-473367*x^6+405405*x^5-238233*x^4-167412*x^3+212414*x^2-38370*x-22424)/(166* x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302* x^2-23352*x-25164)*Tw(2,0,0,2,0)+(6910*x^10+23768*x^9-229352*x^8+58210*x^7+ 10405*x^6-240964*x^5-165939*x^4-66976*x^3+117492*x^2+79774*x+648)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(0,1,0,2,0)-(4352*x^10+3772*x^9+20338*x^8+455447*x^7-960260*x^ 6+631635*x^5+183980*x^4-327536*x^3+15570*x^2+14120*x+32608)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(1,1,0,2,0)-(11637*x^10-76334*x^9+95413*x^8+303374*x^7-317728*x^6+ 148734*x^5+120307*x^4+64281*x^3-77030*x^2-104710*x+19546)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(2,2,2,1,1)+(6807*x^10-35898*x^9-97014*x^8+85023*x^7+80475*x^6-148952* x^5+16136*x^4+181119*x^3+68738*x^2-26172*x+6286)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0 ,0,0,2,1)-(13018*x^10-76404*x^9-28447*x^8+41461*x^7+43091*x^6-218951*x^5-22103* x^4+88267*x^3+40704*x^2+2934*x+106)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,0,2,1)+( 1600*x^10-5585*x^9-52204*x^8+137294*x^7-155246*x^6-85145*x^5+152626*x^4+173186* x^3-101858*x^2-18808*x-3412)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,0,2,1)+(553*x^10-\ 27461*x^9+25187*x^8-96057*x^7+138638*x^6-140890*x^5-79516*x^4+87100*x^3-6368*x^ 2-1220*x-15208)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336 *x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,0,2,1)+(4631*x^10+1379*x^9-\ 148184*x^8+34087*x^7+206437*x^6-351984*x^5-7313*x^4+254223*x^3-103338*x^2+18790 *x+19146)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,0,2,1)-(10903*x^10-93644*x^9-34859*x^ 8+318119*x^7-198249*x^6-457987*x^5+399701*x^4+166334*x^3-100230*x^2-58090*x-\ 49364)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,0,2,1)-(437*x^10-44693*x^9+83474*x^8-\ 145091*x^7-111480*x^6+44216*x^5+110558*x^4-135745*x^3-93822*x^2+71024*x+38546)/ (166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(0,2,0,2,1)+(29567*x^10-107013*x^9-365848*x^8+478814 *x^7-452347*x^6-13765*x^5-240274*x^4-29554*x^3+125982*x^2+75416*x+4920)/(166*x^ 10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^ 2-23352*x-25164)*Tw(1,2,0,2,1)-(5210*x^10-54811*x^9+79696*x^8-1618*x^7-239675*x ^6+70192*x^5-58743*x^4+144959*x^3-114746*x^2-19146*x+2730)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(2,2,0,2,1)+(4105*x^10+657*x^9-170378*x^8-226164*x^7+194635*x^6-102903 *x^5-357902*x^4+117380*x^3+58086*x^2+49232*x+24268)/(166*x^10+5587*x^9-7865*x^8 +180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw( 0,0,1,2,1)+(3026*x^10+23768*x^9-106398*x^8+298966*x^7-592620*x^6+262123*x^5+ 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230657*x^3+85404*x^2+2744*x+8602)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412* x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,1,2,1)-(25220* x^10-115769*x^9-88445*x^8+200931*x^7-194018*x^6-65177*x^5-188726*x^4-13614*x^3+ 105322*x^2+16404*x-13076)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467 *x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,2,1,2,1)+(3143*x^10+8325 *x^9-41175*x^8+14218*x^7+316524*x^6-347676*x^5-25549*x^4+207506*x^3+52828*x^2-\ 74958*x-4256)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x ^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,2,2,1,2)+(20918*x^10-117721*x^9-\ 110716*x^8+503216*x^7-573509*x^6+169621*x^5+73769*x^4-38432*x^3+184698*x^2-\ 62886*x+6760)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x ^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,2,2,1,2)-(5128*x^10-54598*x^9+24718* x^8-70087*x^7+85261*x^6-321721*x^5+80524*x^4+64599*x^3+39508*x^2-23912*x-9418)/ (166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(0,0,0,2,2)+(10297*x^10-53282*x^9+38648*x^8+205294*x ^7-863325*x^6+840424*x^5-132124*x^4-555478*x^3+147124*x^2+44424*x+27696)/(166*x ^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x ^2-23352*x-25164)*Tw(1,0,0,2,2)-(1390*x^10+17389*x^9-35408*x^8-23755*x^7+122713 *x^6+106267*x^5-196817*x^4+71629*x^3+73460*x^2-13206*x+21230)/(166*x^10+5587*x^ 9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(2,0,0,2,2)-(15912*x^10-53320*x^9-248056*x^8+451771*x^7+56113*x^6-\ 769245*x^5+376440*x^4+269363*x^3-100124*x^2-72936*x-29610)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(0,1,0,2,2)+(891*x^10+32306*x^9-59638*x^8-174235*x^7+631478*x^6-738874 *x^5-2596*x^4+302022*x^3-201600*x^2+42068*x-1252)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1 ,1,0,2,2)-(2921*x^10-3847*x^9-88116*x^8+71817*x^7+180873*x^6-150572*x^5-21575*x ^4+106179*x^3-490*x^2-17702*x-8374)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,0,2,2)+( 26644*x^10-127643*x^9-272465*x^8+354472*x^7+108881*x^6-747812*x^5+222007*x^4+ 186976*x^3+14456*x^2-38030*x-19368)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,2,0,2,2)+( 11680*x^10-62420*x^9-20137*x^8+299928*x^7-351291*x^6+248799*x^5+102466*x^4-\ 31369*x^3+37176*x^2-22416*x+15662)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412 *x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,2,0,2,2)-(4127* x^10-52412*x^9+116866*x^8-22992*x^7+48505*x^6+187234*x^5+21264*x^4+49506*x^3+ 5000*x^2-38656*x+20472)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x 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32302*x^2-23352*x-25164)*Tw(0,1,1,2,2)+(8312*x^10-3548*x^9-195593*x^8+363606*x^ 7+22599*x^6-747552*x^5+504627*x^4+135415*x^3-260206*x^2+8762*x-8110)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(1,1,1,2,2)-(3269*x^10-3000*x^9-45153*x^8+365107*x^7-496831*x^ 6+294680*x^5+205285*x^4-244917*x^3+102418*x^2+47186*x+8290)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(2,1,1,2,2)-(26135*x^10-127480*x^9-105787*x^8+485912*x^7-420959*x^6-\ 164382*x^5+92279*x^4+51594*x^3+52128*x^2-3550*x-23188)/(166*x^10+5587*x^9-7865* x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)* Tw(0,2,1,2,2)+(2680*x^10+14681*x^9-156244*x^8-97317*x^7+124446*x^6+10654*x^5-\ 358023*x^4+57289*x^3+50678*x^2+28618*x+23098)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1 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x^6-805671*x^5+121457*x^4+248626*x^3-58938*x^2+60966*x+5540)/(166*x^10+5587*x^9 -7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(0,0,0,0,1)-(28099*x^10-131364*x^9-43898*x^8+588078*x^7-760936*x^6+ 289571*x^5+125716*x^4-176292*x^3+71314*x^2-8332*x+22616)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(1,0,0,0,1)-(1229*x^10-6245*x^9-5631*x^8+78592*x^7-182285*x^6-182318*x ^5+113603*x^4-4719*x^3-86206*x^2-36302*x-17682)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2 ,0,0,0,1)-(13327*x^10-55083*x^9-75155*x^8+285583*x^7-49742*x^6-297384*x^5+ 301328*x^4+169554*x^3-146984*x^2-25172*x+26532)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0 ,1,0,0,1)+(14854*x^10-64562*x^9-43871*x^8+382734*x^7-301391*x^6-60909*x^5+ 134373*x^4+9608*x^3-44414*x^2-54718*x-31952)/(166*x^10+5587*x^9-7865*x^8+180177 *x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,0,0 ,1)-(6452*x^10-28275*x^9-173151*x^8-116111*x^7+124770*x^6-7844*x^5-327868*x^4+ 105965*x^3+111186*x^2+4676*x+2342)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412 *x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,0,0,1)+(15258 *x^10-88442*x^9-6373*x^8+126437*x^7-81863*x^6-457322*x^5+270659*x^4+219534*x^3-\ 204544*x^2-4314*x+980)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^ 5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,2,0,0,1)+(23266*x^10-127823 *x^9-118029*x^8+373015*x^7-679678*x^6+420803*x^5-140357*x^4-369783*x^3+232760*x ^2+41666*x+16730)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+ 24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,2,0,0,1)+(7017*x^10-71752*x^9 +9026*x^8-260881*x^7+154835*x^6-128231*x^5-207397*x^4+189199*x^3-21892*x^2+ 15922*x+24170)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336* x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,2,0,0,1)-(5796*x^10-63777*x^9+ 133077*x^8-127964*x^7-38200*x^6+275307*x^5-228698*x^4-57569*x^3+76440*x^2+49312 *x+1586)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,1,0,1)-(9372*x^10-62218*x^9-28842*x^8 +187279*x^7-302703*x^6+222102*x^5-49543*x^4-196219*x^3+108374*x^2+38794*x-13746 )/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3 -32302*x^2-23352*x-25164)*Tw(1,0,1,0,1)-(2949*x^10-32358*x^9+16047*x^8+45737*x^ 7-105811*x^6-98015*x^5+192164*x^4-48557*x^3-92140*x^2+22056*x-10218)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(2,0,1,0,1)-(3846*x^10+13124*x^9-74728*x^8-67437*x^7+20261*x^6 +240169*x^5-282917*x^4-219070*x^3+148798*x^2+67298*x+19780)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(0,1,1,0,1)-(12464*x^10-103922*x^9-12297*x^8-185209*x^7+65773*x^6+ 138839*x^5-364052*x^4-848*x^3+136998*x^2-6328*x+35372)/(166*x^10+5587*x^9-7865* x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)* Tw(1,1,1,0,1)+(3296*x^10-11863*x^9+6954*x^8+494990*x^7-584218*x^6+269671*x^5+ 342075*x^4-126071*x^3-29092*x^2+12438*x-5638)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2 ,1,1,0,1)+(3656*x^10-12110*x^9+26217*x^8-53586*x^7-303712*x^6+477949*x^5-194654 *x^4-360630*x^3+33222*x^2+101824*x+23676)/(166*x^10+5587*x^9-7865*x^8+180177*x^ 7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,1,0,2) +(7355*x^10-4123*x^9-180884*x^8+534613*x^7-297971*x^6-17640*x^5+312076*x^4-\ 83224*x^3+42792*x^2-41100*x-2988)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412* x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,1,0,2)+(33719* x^10-184012*x^9-177192*x^8+358207*x^7-434068*x^6+94325*x^5-174612*x^4+85031*x^3 +199832*x^2-26432*x+11010)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,1,0,2)+(18218*x^10 -87316*x^9-91578*x^8+459906*x^7-590627*x^6+65023*x^5+105949*x^4+30269*x^3+5468* x^2-18262*x-9522)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+ 24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,1,0,2)-(20197*x^10-115481*x ^9-65700*x^8+585403*x^7-921909*x^6+238950*x^5+438830*x^4-212528*x^3-105068*x^2+ 3072*x+41972)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x ^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,2,1,0,2)+(16190*x^10-51364*x^9-\ 189615*x^8+18994*x^7+211524*x^6-370036*x^5-16171*x^4+162386*x^3-76084*x^2+42830 *x+34824)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(1,2,1,0,2)+(13729*x^10-88447*x^9+31290*x^ 8+236299*x^7-487028*x^6+381531*x^5-19877*x^4-188495*x^3+78572*x^2+35426*x+23522 )/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3 -32302*x^2-23352*x-25164)*Tw(2,2,1,0,2)-(11393*x^10-607*x^9-195673*x^8+23536*x^ 7+474084*x^6-797911*x^5+25687*x^4+160581*x^3-85716*x^2+86246*x+4202)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(0,0,2,0,2)+(16458*x^10-72369*x^9-137236*x^8+385755*x^7-138166 *x^6-116151*x^5+28879*x^4+54124*x^3+126218*x^2-67174*x-26108)/(166*x^10+5587*x^ 9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(1,0,2,0,2)-(7970*x^10-58527*x^9-31125*x^8+65045*x^7-367579*x^6+582600 *x^5-365781*x^4-122693*x^3+209402*x^2-48370*x+18154)/(166*x^10+5587*x^9-7865*x^ 8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw (2,0,2,0,2)+(18241*x^10-42673*x^9-143702*x^8+608744*x^7-299001*x^6-440360*x^5+ 445494*x^4+77245*x^3-107954*x^2-35980*x+24026)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0 ,1,2,0,2)+(431*x^10+34332*x^9-284801*x^8+126582*x^7+34611*x^6-395607*x^5+7039*x ^4+32633*x^3+17644*x^2+6494*x-22914)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,2,0,2)-( 39829*x^10-198774*x^9-284865*x^8+918332*x^7-631139*x^6-524958*x^5+539516*x^4+ 175595*x^3-83830*x^2-31168*x-26122)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,2,0,2)+( 2834*x^10-20640*x^9-19031*x^8-145854*x^7+181180*x^6-331724*x^5+35626*x^4+67975* x^3-17498*x^2+35156*x+42)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467 *x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,2,2,0,2)+(4772*x^10-\ 87828*x^9+138330*x^8-91045*x^7+46599*x^6-53472*x^5+95886*x^4+118262*x^3-108492* x^2-47888*x-12712)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+ 24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,2,2,0,2)+(2019*x^10-17091*x^9 +115392*x^8-45849*x^7-206762*x^6+543797*x^5-187336*x^4-210220*x^3+91574*x^2+ 23536*x+23272)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336* x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,2,2,0,2)-(3737*x^10-50388*x^9+ 156446*x^8-199906*x^7-250720*x^6+438548*x^5-98800*x^4-180991*x^3+97902*x^2+ 31264*x+22078)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336* x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,0,1,2)+(8409*x^10-45763*x^9+19057 *x^8-215157*x^7+171992*x^6-13465*x^5-194517*x^4+37718*x^3+85582*x^2-14438*x+ 19784)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,0,1,2)+(10139*x^10-50172*x^9-128885*x ^8-146195*x^7+170453*x^6-379148*x^5-180291*x^4+163091*x^3+714*x^2+26602*x-13382 )/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3 -32302*x^2-23352*x-25164)*Tw(2,0,0,1,2)-(3551*x^10-18456*x^9-41945*x^8+25946*x^ 7+92299*x^6-272199*x^5+84178*x^4+79060*x^3-20598*x^2-6272*x+12244)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(0,1,0,1,2)-(8263*x^10-34485*x^9-83192*x^8-114295*x^7+246514*x ^6-283542*x^5-1499*x^4+73788*x^3+15744*x^2+84218*x-9212)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(1,2,1,2,1)+(13530*x^10-80111*x^9-14716*x^8+174589*x^7-462206*x^6+ 354725*x^5-23249*x^4-280420*x^3+104674*x^2+56682*x-372)/(166*x^10+5587*x^9-7865 *x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164) *Tw(1,1,1,1,2)+(2539*x^10-23229*x^9+75186*x^8+188893*x^7-490801*x^6+197653*x^5+ 151874*x^4-235461*x^3-27080*x^2+17716*x-24290)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2 ,1,1,1,2)+(9049*x^10-63315*x^9-19989*x^8-182277*x^7+90296*x^6-104064*x^5-118150 *x^4-153218*x^3+24248*x^2+85104*x-4452)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,2,1,1,2)+( 10667*x^10-127495*x^9+145380*x^8-169610*x^7+305961*x^6-550986*x^5+233807*x^4+ 195184*x^3-156296*x^2-5958*x-8208)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412 *x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,2,1,1,2)+(13072 *x^10-69925*x^9-171232*x^8+327216*x^7-413540*x^6-109852*x^5+339892*x^4-49725*x^ 3-94638*x^2+21280*x+38810)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,2,1,1,2)-(11945*x^10 -38992*x^9-99769*x^8+532380*x^7-22945*x^6-537726*x^5+450906*x^4+369947*x^3-\ 194742*x^2-93276*x-2906)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467* x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,2,1,2)+(1234*x^10+3141* x^9-153847*x^8-102570*x^7+131475*x^6-182879*x^5-136199*x^4+121841*x^3+19884*x^2 +42930*x-5258)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336* x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,1,1,1)+(14711*x^10-118867*x^9+ 31425*x^8+14203*x^7-288923*x^6+238746*x^5-211089*x^4-165862*x^3+148424*x^2+ 62254*x+5364)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x ^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,1,1,1)-(19460*x^10-78343*x^9-\ 212060*x^8+262797*x^7-91292*x^6-516339*x^5+227335*x^4-6932*x^3-47110*x^2+13082* x-23940)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,1,1,1)-(1543*x^10-6244*x^9+32503*x^8+ 219640*x^7-306281*x^6+280508*x^5+116878*x^4-131595*x^3-37286*x^2-10036*x+6666)/ (166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(0,2,1,1,1)+(13913*x^10-67058*x^9-127601*x^8+224744* x^7-94713*x^6-153237*x^5+78506*x^4+114226*x^3+78290*x^2-6304*x+8576)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(1,2,1,1,1)-(3834*x^10-58645*x^9+160210*x^8-82669*x^7-149953*x ^6+264607*x^5-121019*x^4-49105*x^3+3200*x^2+20710*x+40354)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(2,2,1,1,1)-(262*x^10-16716*x^9+142296*x^8+161103*x^7-626603*x^6+ 750377*x^5-88638*x^4-412427*x^3+204356*x^2+92*x+1754)/(166*x^10+5587*x^9-7865*x ^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)* Tw(0,0,2,1,1)+(8857*x^10-54696*x^9-108863*x^8+36351*x^7-144856*x^6-50079*x^5+ 24003*x^4+52893*x^3-56164*x^2-25310*x+45538)/(166*x^10+5587*x^9-7865*x^8+180177 *x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,2,1 ,1)+(7081*x^10-81828*x^9+81301*x^8-15263*x^7-300310*x^6+322300*x^5-52434*x^4-\ 115539*x^3-12798*x^2-17992*x+24462)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,2,1,1)+( 10290*x^10-55854*x^9-111320*x^8+129249*x^7-85620*x^6-195605*x^5-39309*x^4+50231 *x^3+113952*x^2+27594*x-17090)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6 +4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,2,1,1)-(19524*x^ 10-117711*x^9-93400*x^8+174884*x^7+258028*x^6-549795*x^5+221461*x^4+263859*x^3-\ 91100*x^2-24038*x-19834)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467* x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,2,1,1)+(3038*x^10-7294* x^9+9484*x^8-109641*x^7+263299*x^6-101037*x^5-144671*x^4+80420*x^3-84274*x^2+ 15414*x+3208)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x ^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,2,1,1)+(21052*x^10-115907*x^9-\ 132930*x^8+297267*x^7+63299*x^6-645834*x^5+385113*x^4+282036*x^3-220328*x^2+ 10730*x+1752)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x ^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,2,2,1,1)-(1904*x^10-15647*x^9+17905* x^8-182877*x^7+347768*x^6-303604*x^5-53689*x^4+238188*x^3-62952*x^2+3414*x+ 19108)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(1,2,2,1,1)-(12715*x^10-49213*x^9-91521*x^ 8+106176*x^7+94135*x^6-382996*x^5-8308*x^4+230098*x^3-112640*x^2+15712*x+24096) /(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(2,1,0,0,2)+(2515*x^10-12382*x^9-31245*x^8-85299*x^7 -252160*x^6+348996*x^5-300546*x^4-142173*x^3+108430*x^2+88440*x+35786)/(166*x^ 10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^ 2-23352*x-25164)*Tw(0,2,0,0,2)+(1785*x^10+26425*x^9-192861*x^8+288184*x^7+14633 *x^6-90207*x^5+51120*x^4+104649*x^3+23400*x^2-19948*x-16534)/(166*x^10+5587*x^9 -7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(1,2,0,0,2)+(1915*x^10+8623*x^9-61705*x^8+146059*x^7+301527*x^6-476973 *x^5+284624*x^4+205214*x^3-204310*x^2-14312*x-1760)/(166*x^10+5587*x^9-7865*x^8 +180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw( 2,2,0,0,2)-(15347*x^10-28560*x^9-171472*x^8+403590*x^7+352720*x^6-703558*x^5+ 311971*x^4+355924*x^3-126728*x^2-31422*x-28188)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0 ,0,1,0,2)+(5897*x^10-89766*x^9+85821*x^8-749*x^7+151795*x^6-372037*x^5+174632*x ^4+313535*x^3-242592*x^2-25880*x-6618)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,1,0,2)-( 9734*x^10+5024*x^9-294865*x^8+191722*x^7+143719*x^6-419081*x^5-1943*x^4+57342*x ^3+85806*x^2+33626*x+20772)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,2,2,0,0)-(9633*x^10-\ 22937*x^9-30235*x^8+442207*x^7-555156*x^6+279031*x^5+162873*x^4-104160*x^3+ 47666*x^2-29122*x+1316)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x ^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,2,2,0,0)-(1555*x^10-72925* x^9+148712*x^8+4478*x^7-326357*x^6+29727*x^5+317480*x^4-217406*x^3-85410*x^2+ 30860*x-23480)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336* x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,0,2,0)+(15502*x^10-38944*x^9-\ 223347*x^8+833347*x^7-651685*x^6-133127*x^5+448961*x^4-78979*x^3-19644*x^2-\ 79170*x-11810)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336* x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,2,0,2,0)-(3511*x^10-32030*x^9-6203* x^8+99730*x^7-146996*x^6-282918*x^5+210023*x^4+168571*x^3-101786*x^2-49078*x-\ 18330)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(1,2,0,2,0)+(2773*x^10-25550*x^9+42225*x^8 +286089*x^7-555249*x^6+584944*x^5+64617*x^4-324149*x^3+69138*x^2+27330*x+20026) /(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(2,2,0,2,0)-(2348*x^10-51959*x^9+230573*x^8-61803*x^ 7-371899*x^6+637336*x^5-152721*x^4-291605*x^3+126162*x^2-6586*x+6898)/(166*x^10 +5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(0,0,1,2,0)-(11907*x^10-62647*x^9-35603*x^8+95543*x^7-78894*x^ 6-236405*x^5+49685*x^4+22838*x^3-42026*x^2+26542*x+6632)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(1,0,1,2,0)+(13836*x^10-82427*x^9-38365*x^8-47205*x^7+88371*x^6-205772 *x^5-123906*x^4+177758*x^3-35136*x^2+18936*x+30392)/(166*x^10+5587*x^9-7865*x^8 +180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw( 2,0,1,2,0)-(6460*x^10-57882*x^9-16359*x^8-200224*x^7+254135*x^6+64704*x^5-\ 316548*x^4+79150*x^3+131536*x^2-19808*x+28048)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0 ,1,1,2,0)+Tw(2,1,2,2,2), -(6134*x^10+45432*x^9+395781*x^8-33209*x^7-603169*x^6-\ 395560*x^5-22790*x^4+140033*x^3-44500*x^2-10876*x+26718)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(2,2,0,0,0)+(5541*x^10+34664*x^9+58765*x^8-69674*x^7-335534*x^6+45779* x^5+318729*x^4+37057*x^3-119789*x^2-40072*x-11722)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0 ,0,1,0,0)+(3771*x^10+21213*x^9-18353*x^8-270825*x^7+358456*x^6+223407*x^5-\ 255718*x^4-33919*x^3-38533*x^2-29552*x+64)/(166*x^10+5587*x^9-7865*x^8+180177*x ^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,1,0,0 )-(9795*x^10+68995*x^9+239419*x^8+13477*x^7-405962*x^6-172008*x^5+258266*x^4+ 151271*x^3+21021*x^2+8797*x-10804)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412 *x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,1,0,0)-(7848* x^10+65301*x^9+303626*x^8+290533*x^7-403490*x^6-389398*x^5-3204*x^4+22121*x^3+ 41770*x^2+73854*x+14512)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467* x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,1,0,0)+(4095*x^10+15467 *x^9+72675*x^8-613074*x^7+206590*x^6+582379*x^5+19415*x^4+120834*x^3-101755*x^2 -100281*x+4762)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336 *x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,1,0,0)+(1535*x^10+11586*x^9+ 86514*x^8-143987*x^7+363018*x^6+68413*x^5-392074*x^4+5171*x^3+56817*x^2+19681*x 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-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(0,0,2,0,0)-(3468*x^10+21757*x^9-28006*x^8+30605*x^7+198273*x^6-331140 *x^5-263416*x^4+85718*x^3+74817*x^2+8921*x+3802)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0 ,0,1,0,1)-(5054*x^10+37061*x^9+91472*x^8-150642*x^7+123038*x^6-94875*x^5-330321 *x^4+97270*x^3+142705*x^2-6283*x+11172)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,1,0,1)-( 1681*x^10+9230*x^9-708*x^8-209983*x^7+49746*x^6+287105*x^5+55588*x^4-118860*x^3 +49763*x^2+8379*x-1806)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x ^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,1,0,1)-(1530*x^10+13822* x^9+160380*x^8+219222*x^7+198293*x^6-465070*x^5-516965*x^4+59999*x^3+159601*x^2 +47650*x+37580)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336 *x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,1,0,1)-(7488*x^10+67176*x^9+ 85018*x^8+217359*x^7+19992*x^6-465836*x^5-201679*x^4+142148*x^3+13817*x^2+51544 *x+34546)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,1,0,1)+(1060*x^10-8623*x^9+31135*x^8-\ 589993*x^7+61356*x^6+495240*x^5-156588*x^4-132592*x^3+3931*x^2-37179*x-11564)/( 166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(2,1,1,0,1)-(2053*x^10+22311*x^9+58921*x^8-179856*x^ 7-64879*x^6+429125*x^5+174478*x^4-181706*x^3-64123*x^2-1374*x-16240)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(0,2,1,0,1)-(7540*x^10+73474*x^9+168667*x^8+381953*x^7-52900*x ^6-767515*x^5-253944*x^4+173353*x^3+141895*x^2+72122*x+39904)/(166*x^10+5587*x^ 9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(1,2,1,0,1)-(8009*x^10+56170*x^9+76525*x^8-409123*x^7-364507*x^6+ 292265*x^5+353873*x^4-73133*x^3-135654*x^2-21698*x-25018)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(2,2,1,0,1)-(4057*x^10+35658*x^9+196655*x^8+69663*x^7-319279*x^6-\ 219719*x^5+94417*x^4+132761*x^3-15913*x^2-2689*x-8364)/(166*x^10+5587*x^9-7865* x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)* Tw(0,0,2,0,1)+(2953*x^10+14896*x^9-9320*x^8-131899*x^7+286833*x^6+330154*x^5-\ 97614*x^4-81367*x^3+86871*x^2+3863*x+9038)/(166*x^10+5587*x^9-7865*x^8+180177*x ^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,2,0,1 )-(2330*x^10+16510*x^9+15030*x^8+141797*x^7+7071*x^6-265738*x^5-64542*x^4+2742* x^3+122513*x^2+48376*x+1656)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,2,0,1)+(1925*x^10+ 12771*x^9-99265*x^8-161990*x^7+197799*x^6+79105*x^5-119403*x^4+174463*x^3-20*x^ 2-24292*x+4608)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336 *x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,2,0,1)-(2772*x^10+19447*x^9+ 156398*x^8-174412*x^7-262295*x^6+181159*x^5+126351*x^4+38036*x^3+28536*x^2-\ 12461*x-13728)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336* x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,2,0,1)+(10395*x^10+81222*x^9+ 445194*x^8+136184*x^7-585301*x^6-456583*x^5-51406*x^4+118927*x^3+105089*x^2+ 24394*x-12776)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336* x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,2,0,1)-(8967*x^10+60742*x^9+ 420133*x^8-294939*x^7-785226*x^6+24659*x^5+251621*x^4-45340*x^3+18732*x^2+6890* x+13230)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(0,2,2,0,1)-(726*x^10+5405*x^9-49443*x^8+ 158738*x^7+35601*x^6-449361*x^5-182847*x^4+226926*x^3+91135*x^2-17783*x+16194)/ (166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(1,2,2,0,1)-(5163*x^10+34616*x^9+225556*x^8-299*x^7+ 169649*x^6-183555*x^5-336933*x^4+185380*x^3+69879*x^2+17209*x+28238)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(2,2,2,0,1)-(7997*x^10+56220*x^9+289194*x^8-302952*x^7-206506* x^6+69987*x^5-266527*x^4-80973*x^3-2052*x^2+21082*x+27624)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(0,0,0,1,1)-(5688*x^10+43626*x^9+128242*x^8-76779*x^7+216344*x^6-\ 178921*x^5-448919*x^4+67901*x^3+101303*x^2+4940*x-1322)/(166*x^10+5587*x^9-7865 *x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164) *Tw(1,0,0,1,1)-(6092*x^10+32953*x^9+147603*x^8-559242*x^7-51317*x^6+402784*x^5-\ 59839*x^4-102265*x^3+63225*x^2-22792*x+2912)/(166*x^10+5587*x^9-7865*x^8+180177 *x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,0,1 ,1)-(8783*x^10+57962*x^9+393035*x^8-326963*x^7-369162*x^6+125308*x^5-232169*x^4 -149536*x^3+133372*x^2+55544*x+10890)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,0,1,1)-( 2418*x^10+19266*x^9+102402*x^8-18844*x^7-84602*x^6+59794*x^5+154892*x^4+44743*x ^3-12416*x^2+14730*x+12320)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,0,1,1)-(5115*x^10+ 42920*x^9+318979*x^8+287422*x^7-776369*x^6-393320*x^5+263412*x^4-6732*x^3+ 143303*x^2+83269*x-17804)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467 *x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,2,0,2)+(8236*x^10+ 59214*x^9+251586*x^8-226648*x^7-432429*x^6-71992*x^5+88619*x^4+159376*x^3-1291* x^2-37016*x+20648)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+ 24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,2,0,2)-(4532*x^10+37796*x^9 +78259*x^8-12592*x^7+333899*x^6-231929*x^5-375792*x^4+208290*x^3-25854*x^2-\ 11489*x+38918)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336* x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,2,0,2)+(7991*x^10+41010*x^9+ 354329*x^8-486680*x^7-728301*x^6+434596*x^5+286619*x^4-156157*x^3-30284*x^2+ 34477*x+1540)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x ^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,2,0,2)-(15*x^10-13867*x^9-159113*x ^8+23018*x^7+387136*x^6+39461*x^5-188061*x^4-118609*x^3-100137*x^2-16189*x-6552 )/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3 -32302*x^2-23352*x-25164)*Tw(1,1,2,0,2)-(20143*x^10+140265*x^9+552771*x^8-\ 768734*x^7-919428*x^6+622598*x^5+500733*x^4-30655*x^3-32302*x^2-47021*x-34172)/ (166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(2,1,2,0,2)+(1628*x^10+14285*x^9+34994*x^8+35029*x^7 -291080*x^6-91265*x^5+191734*x^4+18229*x^3+45814*x^2+8269*x-11688)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(0,2,2,0,2)+(3432*x^10+22910*x^9-112470*x^8-202968*x^7+81822*x ^6+246450*x^5+228566*x^4-102167*x^3-72291*x^2+4934*x+10414)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(1,2,2,0,2)+(1007*x^10+1545*x^9-8163*x^8+98999*x^7+515778*x^6-140274*x ^5-486210*x^4-3879*x^3+25703*x^2+3824*x+16646)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2 ,2,2,0,2)-(2125*x^10+5564*x^9-32947*x^8-116453*x^7+418912*x^6+8125*x^5-301695*x ^4-9307*x^3+14214*x^2-29281*x+12800)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,0,1,2)+( 4385*x^10+31803*x^9+117868*x^8+151408*x^7-63233*x^6-273827*x^5-3945*x^4+56531*x ^3-25597*x^2+7520*x+24484)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,0,1,2)+(5471*x^10+ 49532*x^9+181910*x^8+122322*x^7-360467*x^6-256097*x^5+302612*x^4+160233*x^3+ 52498*x^2+12701*x-10438)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467* x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,0,1,2)-(1791*x^10+12360 *x^9+53223*x^8-123315*x^7-348968*x^6-7609*x^5+154881*x^4-32024*x^3+7545*x^2+ 33248*x+11978)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336* x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,0,1,2)-(14241*x^10+96835*x^9+ 359436*x^8-545237*x^7-438873*x^6+194549*x^5+169168*x^4+215455*x^3+17823*x^2-\ 99973*x+6188)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x ^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,0,1,2)+(672*x^10-1101*x^9-237190*x ^8-42011*x^7+863720*x^6-149539*x^5-583444*x^4+49955*x^3+80039*x^2+26160*x+33788 )/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3 -32302*x^2-23352*x-25164)*Tw(2,1,0,1,2)-(8236*x^10+64924*x^9+285946*x^8-139197* x^7-625003*x^6-141197*x^5+168774*x^4+64129*x^3+19378*x^2+19030*x-13340)/(166*x^ 10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^ 2-23352*x-25164)*Tw(0,2,0,1,2)+(12764*x^10+90377*x^9+349520*x^8-292488*x^7-\ 620875*x^6+158217*x^5+370521*x^4-3743*x^3-47213*x^2-21360*x-13934)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(1,2,0,1,2)-(6913*x^10+49926*x^9+231624*x^8+530*x^7+159115*x^6 -93026*x^5-278569*x^4+102002*x^3+76995*x^2-4882*x+31106)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(2,2,0,1,2)-(541*x^10+12268*x^9-63687*x^8+314328*x^7+178230*x^6-218278 *x^5+178325*x^4+179506*x^3-41003*x^2+7320*x+5288)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0 ,0,1,1,2)-(10387*x^10+75133*x^9+390378*x^8+42617*x^7-614540*x^6-64990*x^5+ 353304*x^4-48440*x^3-60805*x^2+19650*x-33498)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1 ,0,1,1,2)+(6914*x^10+44085*x^9+165846*x^8-277392*x^7+282749*x^6+34684*x^5-\ 435931*x^4+17042*x^3+153808*x^2-4056*x+22638)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1 ,1,1,1,2)+(1059*x^10-4967*x^9-9775*x^8-337208*x^7+283663*x^6+370045*x^5-132284* x^4+17225*x^3+121275*x^2-24115*x-5362)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,1,1,2)+( 5279*x^10+48614*x^9+97451*x^8+287857*x^7+120855*x^6-243594*x^5-184265*x^4+55726 *x^3+174761*x^2+27366*x-6690)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,2,1,1,2)+(6719*x^10+ 49025*x^9-68559*x^8-95690*x^7-379295*x^6+139205*x^5+459150*x^4-108484*x^3-13050 *x^2+25836*x-14742)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+ 24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,2,1,1,2)+(6752*x^10+50895*x^9 +203332*x^8-399281*x^7-154665*x^6+524949*x^5+25068*x^4-234719*x^3-21977*x^2+ 34529*x+1678)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x ^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,2,1,1,2)-(5469*x^10+30104*x^9+185964 *x^8-406710*x^7-784538*x^6+486256*x^5+644186*x^4-173323*x^3-204588*x^2-2997*x-\ 22912)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,2,1,2)+(6350*x^10+44512*x^9+261465*x^ 8-115685*x^7-102317*x^6-8834*x^5-236646*x^4+40358*x^3+156691*x^2+5474*x+9974)/( 166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(1,0,2,1,2)+(9322*x^10+82709*x^9+396822*x^8+379693*x ^7-658524*x^6-601508*x^5+87275*x^4+93951*x^3+182675*x^2+61696*x-5578)/(166*x^10 +5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(2,0,2,1,2)-(7349*x^10+41681*x^9+27707*x^8-346386*x^7+279813*x ^6+464262*x^5-104830*x^4-205679*x^3-65453*x^2+16695*x-12168)/(166*x^10+5587*x^9 -7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(0,1,2,1,2)-(2278*x^10+22488*x^9-130954*x^8+68331*x^7-327278*x^6+ 219985*x^5+708432*x^4-158732*x^3-161944*x^2+19780*x-29054)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(1,1,2,1,2)-(8327*x^10+60805*x^9+160460*x^8-316293*x^7-129983*x^6+ 42334*x^5-65520*x^4+146901*x^3+44449*x^2-47150*x-21408)/(166*x^10+5587*x^9-7865 *x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164) *Tw(2,1,2,1,2)-(157*x^10+17003*x^9-3472*x^8+486506*x^7+1564*x^6-629062*x^5-\ 81524*x^4+131861*x^3+19419*x^2+56318*x-8002)/(166*x^10+5587*x^9-7865*x^8+180177 *x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,2,2,1 ,2)+(1219*x^10+8065*x^9+92828*x^8+116315*x^7-532093*x^6-212008*x^5+329735*x^4+ 114142*x^3-91452*x^2-17232*x+5870)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412 *x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,2,2,1,2)+(10674 *x^10+70849*x^9+253768*x^8-548818*x^7-358352*x^6+106357*x^5-63706*x^4+152855*x^ 3-27356*x^2-44640*x+24662)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,2,2,1,2)-(3202*x^10+ 26065*x^9-11540*x^8-1969*x^7-363321*x^6-17135*x^5+282277*x^4+128655*x^3-1282*x^ 2-33487*x-16532)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+ 24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,0,2,2)+(4939*x^10+24803*x^9 +142103*x^8-225502*x^7+830576*x^6+175357*x^5-817130*x^4+34575*x^3+178000*x^2+ 9822*x+39516)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x ^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,0,2,2)-(222*x^10-1167*x^9+90018*x^ 8+22793*x^7-90141*x^6-302805*x^5-111036*x^4+12439*x^3-33268*x^2+31725*x+33694)/ (166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(2,0,0,2,2)-(7866*x^10+62559*x^9+295344*x^8-181223*x ^7-884483*x^6+325010*x^5+663743*x^4+8050*x^3-80239*x^2-27621*x-26334)/(166*x^10 +5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(0,1,0,2,2)+(31*x^10+4480*x^9+106296*x^8+371597*x^7-552831*x^6 -255103*x^5+467437*x^4-72372*x^3+17688*x^2+79150*x-27848)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(1,1,0,2,2)-(1479*x^10+15996*x^9+78673*x^8+35997*x^7-198169*x^6-122087 *x^5+73849*x^4-8917*x^3-15957*x^2+15917*x+12880)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2 ,1,0,2,2)+(13886*x^10+112030*x^9+407766*x^8-107083*x^7-915213*x^6+8349*x^5+ 454342*x^4+77455*x^3+14389*x^2-5626*x-2448)/(166*x^10+5587*x^9-7865*x^8+180177* x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,2,0,2, 2)+(5816*x^10+35172*x^9+141263*x^8-280603*x^7+26598*x^6+201397*x^5-126524*x^4-\ 69087*x^3-73116*x^2-23367*x+6844)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412* x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,2,0,2,2)-(2579*x ^10+15806*x^9-50092*x^8-9087*x^7+124718*x^6+31078*x^5-67274*x^4-111273*x^3-\ 122726*x^2-5150*x+11568)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467* x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,2,0,2,2)+(8147*x^10+68792 *x^9+219545*x^8-92002*x^7-648592*x^6+118970*x^5+425839*x^4-138270*x^3+24956*x^2 +42244*x-6228)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336* x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,1,2,2)+(10240*x^10+84127*x^9+ 323245*x^8+144873*x^7-865539*x^6-464208*x^5+372396*x^4+52366*x^3-143953*x^2+ 19270*x+1484)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x ^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,1,2,2)+(7225*x^10+44262*x^9+265289 *x^8-176072*x^7+219047*x^6+15088*x^5-298389*x^4+37075*x^3+16961*x^2-32852*x+ 25472)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,1,2,2)+(3151*x^10+13652*x^9+90527*x^8 -210971*x^7+55207*x^6+262076*x^5-55418*x^4-2731*x^3-27996*x^2-54874*x-18056)/( 166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(0,1,1,2,2)+(3620*x^10+26778*x^9+221007*x^8-169739*x ^7-585030*x^6+537557*x^5+501148*x^4-226844*x^3+5620*x^2+37531*x-33626)/(166*x^ 10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^ 2-23352*x-25164)*Tw(1,1,1,2,2)-(1049*x^10-3728*x^9+76136*x^8-464655*x^7+36517*x ^6+189289*x^5-384341*x^4-55740*x^3+97235*x^2-22601*x+10496)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(2,1,1,2,2)-(12947*x^10+82478*x^9+359507*x^8-496721*x^7-535678*x^6+ 49163*x^5+149655*x^4+147265*x^3+74733*x^2-21716*x-2276)/(166*x^10+5587*x^9-7865 *x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164) *Tw(0,2,1,2,2)+(1264*x^10+20845*x^9+151634*x^8+264306*x^7-54148*x^6-438275*x^5-\ 116633*x^4+102289*x^3+41099*x^2+67673*x+20132)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1 ,2,1,2,2)+(769*x^10+16030*x^9+14381*x^8+270672*x^7+110814*x^6-353640*x^5-181085 *x^4+90546*x^3+158459*x^2-6618*x-13878)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,1,1,2)-( 3188*x^10+7356*x^9+76334*x^8-479774*x^7+21743*x^6+435504*x^5+129447*x^4+73265*x ^3-180655*x^2-71014*x+10664)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,1,1,2)+(5428*x^10+ 42983*x^9+145447*x^8-144846*x^7-450553*x^6-220936*x^5+95180*x^4+201276*x^3+ 79833*x^2-27801*x-12076)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467* x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,2,1,1)-(10518*x^10+ 82068*x^9+218280*x^8-76441*x^7-577179*x^6+72160*x^5+426742*x^4-90845*x^3-64449* x^2-3583*x-11768)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+ 24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,2,1,1)+(1582*x^10+15066*x^9 +58956*x^8+284167*x^7+48760*x^6-203040*x^5+13681*x^4-45585*x^3+12298*x^2+56100* x+2978)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,2,1,1)+(11036*x^10+82951*x^9+266271*x ^8-203232*x^7-639486*x^6+357321*x^5+523096*x^4-216824*x^3-76408*x^2+25780*x-\ 36402)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(0,2,2,1,1)-(1120*x^10+9151*x^9+11538*x^8+ 85621*x^7-346395*x^6-194525*x^5+268712*x^4-46412*x^3-64683*x^2+40794*x-1888)/( 166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(1,2,2,1,1)-(5903*x^10+30433*x^9+67245*x^8-246526*x^ 7+12585*x^6+363620*x^5+119237*x^4-71515*x^3-154016*x^2+8437*x+11030)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(2,2,2,1,1)+(3677*x^10+32235*x^9+100776*x^8-40833*x^7-400136*x ^6-100745*x^5+189748*x^4+49286*x^3-106945*x^2-34455*x-8794)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(0,0,0,2,1)-(6896*x^10+50945*x^9+147357*x^8-9061*x^7-358651*x^6-160805 *x^5+143438*x^4+92744*x^3+12070*x^2-4215*x-7330)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1 ,0,0,2,1)+(658*x^10+2118*x^9+36720*x^8-234920*x^7-142462*x^6+337432*x^5+312725* x^4-72825*x^3-122220*x^2-30230*x-27092)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,0,2,1)+( 877*x^10+11961*x^9-58777*x^8+76216*x^7-116035*x^6-147627*x^5+135332*x^4+94614*x ^3+20012*x^2+4472*x-8564)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467 *x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,0,2,1)+(2231*x^10+ 24685*x^9+148029*x^8+152091*x^7-400480*x^6-80796*x^5+295734*x^4-56539*x^3-80331 *x^2+37949*x-25644)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+ 24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,0,2,1)-(6145*x^10+43053*x^9 +36438*x^8-448716*x^7-497982*x^6+513273*x^5+578406*x^4+36469*x^3-45177*x^2-\ 66734*x-35800)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336* x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,0,2,1)-(965*x^10+8651*x^9-99172*x ^8-54805*x^7+233850*x^6+176780*x^5-172864*x^4-185162*x^3+66916*x^2+62935*x-2144 )/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3 -32302*x^2-23352*x-25164)*Tw(0,2,0,2,1)+(14751*x^10+117383*x^9+566498*x^8-81827 *x^7-378213*x^6-336689*x^5-197086*x^4+223422*x^3+151630*x^2+30994*x-3120)/(166* x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302* x^2-23352*x-25164)*Tw(1,2,0,2,1)-(2928*x^10+14714*x^9-11266*x^8-201629*x^7+ 58286*x^6+205393*x^5+247680*x^4+17831*x^3-76292*x^2+8169*x-17382)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(2,2,0,2,1)+(2195*x^10+30678*x^9+167931*x^8+314594*x^7-152799* x^6-459817*x^5+14404*x^4+122099*x^3+18355*x^2+42598*x+1898)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(0,0,1,2,1)+(618*x^10-3346*x^9+157227*x^8-254059*x^7+192429*x^6+169724 *x^5-564813*x^4-45515*x^3+229628*x^2+23240*x+7490)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1 ,0,1,2,1)+(5722*x^10+36759*x^9+21341*x^8-32205*x^7+260345*x^6-37902*x^5-280328* x^4-133565*x^3+76781*x^2+52906*x+14316)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,1,2,1)+( 3859*x^10+21451*x^9+4680*x^8-116058*x^7+388346*x^6+177887*x^5-162867*x^4-123852 *x^3-77718*x^2+13746*x+27516)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,1,2,1)+(8279*x^10+ 54330*x^9+179303*x^8-238781*x^7-561222*x^6+324081*x^5+620014*x^4-80164*x^3-\ 169906*x^2-18976*x-20322)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467 *x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,1,2,1)+(7891*x^10+ 36051*x^9+182183*x^8-666471*x^7-127535*x^6+388790*x^5-218260*x^4-26457*x^3+ 67215*x^2-38765*x+8150)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x ^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,1,2,1)-(12648*x^10+88087 *x^9+377094*x^8-48613*x^7-278076*x^6-294138*x^5-31215*x^4+215485*x^3+109950*x^2 -882*x+6860)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^ 4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,2,1,2,1)-(4221*x^10+34368*x^9+160254* x^8+49057*x^7-278083*x^6-236472*x^5+61118*x^4-27911*x^3+76745*x^2-3704*x-11548) /(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(1,2,1,2,1)-(1475*x^10+10901*x^9+118782*x^8-84617*x^ 7+243840*x^6-160461*x^5-563903*x^4+111766*x^3+115898*x^2-14857*x+4290)/(166*x^ 10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^ 2-23352*x-25164)*Tw(2,2,1,2,1)+(13006*x^10+112202*x^9+394746*x^8+49490*x^7-\ 713028*x^6-477186*x^5+168719*x^4+209099*x^3+87250*x^2+19748*x+18464)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(0,0,2,2,1)-(7*x^10+4590*x^9-84634*x^8+332856*x^7-241168*x^6+ 7270*x^5+562949*x^4-133975*x^3-127021*x^2+33923*x-9212)/(166*x^10+5587*x^9-7865 *x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164) *Tw(1,0,2,2,1)-(3852*x^10+44825*x^9+196478*x^8+223382*x^7-648300*x^6-68539*x^5+ 436808*x^4-41126*x^3-100907*x^2-34588*x-38934)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2 ,0,2,2,1)-(486*x^10-9013*x^9+50594*x^8-417941*x^7-63311*x^6+581496*x^5-6505*x^4 -195338*x^3-108945*x^2-2687*x+1334)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,2,2,1)-( 10347*x^10+66566*x^9+192090*x^8-639969*x^7-312784*x^6+845243*x^5+456654*x^4-\ 278783*x^3-57019*x^2+39118*x-11448)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,2,2,1)+( 6989*x^10+48884*x^9+336002*x^8-137730*x^7-402051*x^6-72166*x^5-102570*x^4+14290 *x^3-7675*x^2-10028*x+28390)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,2,2,1)-(2392*x^10+ 9624*x^9-74370*x^8-113470*x^7+158438*x^6-110624*x^5-219086*x^4-32322*x^3+16239* x^2+59045*x+17168)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+ 24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,2,1,1,1)+(90*x^10+15824*x^9+ 64090*x^8+301423*x^7-572592*x^6-43735*x^5+632676*x^4-124436*x^3-116139*x^2+ 40475*x-32542)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336* x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,2,1,1)+(4795*x^10+39367*x^9+ 134375*x^8-171201*x^7-73541*x^6+202369*x^5+72059*x^4-128942*x^3-68601*x^2+63125 *x+30452)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,2,1,1)+(4385*x^10+31778*x^9-22158*x^8 -111383*x^7+387114*x^6+181425*x^5-188931*x^4-54168*x^3-17527*x^2+27253*x+21006) /(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(2,0,2,1,1)-(15993*x^10+121316*x^9+455660*x^8-110674 *x^7-613153*x^6-168354*x^5+50258*x^4-13728*x^3+56527*x^2+33299*x+8154)/(166*x^ 10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^ 2-23352*x-25164)*Tw(2,2,2,1,0)+(3503*x^10+20678*x^9+5137*x^8-227104*x^7+157371* x^6+285498*x^5+133674*x^4-37783*x^3-122363*x^2-50945*x+3344)/(166*x^10+5587*x^9 -7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(0,0,0,2,0)-(11906*x^10+86933*x^9+325300*x^8-79952*x^7-65789*x^6-\ 134105*x^5-312017*x^4-8164*x^3+132472*x^2+46704*x+29026)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(1,0,0,2,0)-(7872*x^10+55074*x^9+107621*x^8-223392*x^7+217669*x^6-\ 91674*x^5-203781*x^4+296658*x^3+65382*x^2-60906*x+25370)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(2,0,0,2,0)+(2766*x^10+26628*x^9+285578*x^8+178226*x^7-372635*x^6-\ 407249*x^5-84584*x^4+197325*x^3+171099*x^2+15566*x-7776)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(0,1,0,2,0)-(1066*x^10-14637*x^9+108098*x^8-537312*x^7+434647*x^6+ 574729*x^5-406802*x^4-85983*x^3+15651*x^2-22124*x-322)/(166*x^10+5587*x^9-7865* x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)* Tw(1,1,0,2,0)-(1691*x^10+7279*x^9-161528*x^8-329049*x^7+301700*x^6+514376*x^5-\ 26337*x^4-96878*x^3+107293*x^2-26042*x-15082)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2 ,1,0,2,0)+(6912*x^10+39713*x^9+307788*x^8-659465*x^7-428864*x^6+631095*x^5+ 113310*x^4-42665*x^3-1235*x^2-17691*x+14036)/(166*x^10+5587*x^9-7865*x^8+180177 *x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,2,0,2 ,0)-(1953*x^10+12025*x^9+4603*x^8-185765*x^7-275914*x^6+403215*x^5+511429*x^4+ 38674*x^3-107308*x^2-54371*x-41466)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,2,0,2,0)+( 1265*x^10-900*x^9-1651*x^8-391778*x^7+464574*x^6+195981*x^5-595998*x^4-107242*x ^3+96001*x^2+23463*x+37424)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,2,0,2,0)-(1430*x^10-\ 4164*x^9-103539*x^8-190441*x^7+595217*x^6-23313*x^5-490597*x^4+55075*x^3+74781* x^2-10139*x+38384)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+ 24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,1,2,0)-(6179*x^10+45201*x^9 +150323*x^8+16407*x^7-255489*x^6+4511*x^5+124333*x^4+37382*x^3+46043*x^2+18758* x-21800)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,1,2,0)+(7426*x^10+57390*x^9+164839*x^ 8+62330*x^7-321214*x^6-207051*x^5+162108*x^4+13667*x^3-30970*x^2+52194*x-4952)/ (166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(2,0,1,2,0)-(4132*x^10+42136*x^9+38924*x^8+258481*x^ 7-75465*x^6-495051*x^5-122461*x^4+103295*x^3-36581*x^2+35186*x+32030)/(166*x^10 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*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,2,1,2,0)+(10481 *x^10+83963*x^9+392979*x^8-70798*x^7-579724*x^6+50211*x^5+271136*x^4-69711*x^3+ 102667*x^2+49854*x+7094)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467* x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,2,1,2,0)+(584*x^10+15865* x^9+68646*x^8+544270*x^7-64830*x^6-634723*x^5-9396*x^4+117196*x^3+134653*x^2+ 60487*x+5080)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x ^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,2,2,0)-(3922*x^10+35344*x^9+278009 *x^8-114596*x^7-446667*x^6+143589*x^5+5163*x^4-90926*x^3+47747*x^2+40748*x-\ 10742)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,2,2,0)+(3928*x^10+37709*x^9-78609*x^8 +146227*x^7+113661*x^6-555267*x^5-79485*x^4+268556*x^3-27694*x^2-14342*x+19018) /(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 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25164)*Tw(0,2,2,2,0)+(1496*x^10+7310*x^9-70839*x^8-258876*x^7+57869*x^6+404865* x^5+257212*x^4-153536*x^3-71270*x^2+12809*x-31616)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1 ,2,2,2,0)-(1654*x^10+17598*x^9+89545*x^8-36627*x^7+161118*x^6-64790*x^5-243881* x^4-59230*x^3-65640*x^2+24214*x+23140)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,2,2,2,0)-( 12836*x^10+98880*x^9+505775*x^8-142536*x^7-1046574*x^6-151639*x^5+429607*x^4+ 33701*x^3+84557*x^2+54138*x-19880)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412 *x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,0,0,1)-(13575 *x^10+77878*x^9+390128*x^8-587743*x^7-100225*x^6+254977*x^5-260130*x^4-7649*x^3 +51255*x^2+4600*x+25450)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467* x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,0,0,1)-(513*x^10+373*x^ 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23824)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,0,0,0)+(5592*x^10+25817*x^9+114291*x^ 8-365340*x^7-147053*x^6+288553*x^5+198880*x^4-36422*x^3-168979*x^2-39965*x+4930 )/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3 -32302*x^2-23352*x-25164)*Tw(1,0,0,0,0)+(3956*x^10+19309*x^9+184942*x^8-471574* x^7-389998*x^6+566638*x^5+278557*x^4-23477*x^3+73900*x^2-980*x-6454)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(2,0,0,0,0)-(14899*x^10+100879*x^9+444031*x^8-395547*x^7-\ 394241*x^6+129779*x^5-128766*x^4-7557*x^3+118968*x^2+14183*x+25164)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(0,1,0,0,0)+(9392*x^10+67329*x^9+358854*x^8+25204*x^7-137994*x ^6-224354*x^5-154606*x^4+1134*x^3-47871*x^2+17949*x+28840)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(1,1,0,0,0)+(7559*x^10+59602*x^9+157411*x^8+63588*x^7-387815*x^6-\ 257775*x^5+325166*x^4+86137*x^3-153618*x^2-11658*x+6352)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(2,1,0,0,0)+(11473*x^10+79887*x^9+397194*x^8-566328*x^7-603297*x^6+ 423929*x^5+178530*x^4+50021*x^3+73795*x^2-69521*x-33076)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(0,2,0,0,0)+(3677*x^10+35007*x^9+226705*x^8+295574*x^7+105588*x^6-\ 509968*x^5-549621*x^4+75114*x^3+103104*x^2+85860*x+22052)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(1,2,0,0,0)-(2428*x^10+10576*x^9+88395*x^8-162136*x^7+287837*x^6-7463* x^5-248827*x^4+77683*x^3+44249*x^2-236*x+12696)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2 ,2,1,2,2)-(6256*x^10+27506*x^9+2232*x^8-406806*x^7+638683*x^6+191458*x^5-657101 *x^4+17568*x^3+57837*x^2-12027*x+35840)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,2,2,2)-( 3999*x^10+22159*x^9+93039*x^8-464507*x^7+110704*x^6+440434*x^5-11189*x^4-114929 *x^3-66103*x^2-22878*x-738)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,2,2,2)+(11989*x^10 +93794*x^9+204361*x^8-124869*x^7-448006*x^6+318613*x^5+524881*x^4-96118*x^3-\ 56040*x^2+9267*x-16092)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x ^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,2,2,2)-(3130*x^10+31056* x^9+311762*x^8+32099*x^7-705342*x^6-199991*x^5+77158*x^4+14036*x^3-27735*x^2+ 32918*x-18724)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336* x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,2,2,2)+(8543*x^10+66126*x^9+52771 *x^8-317562*x^7-2939*x^6+102151*x^5-695*x^4+81957*x^3-10962*x^2-19515*x-20134)/ (166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(2,0,0,0,2)+(1376*x^10+823*x^9+135844*x^8-179658*x^7 +227146*x^6-74660*x^5-307879*x^4+56607*x^3+52388*x^2-27585*x+25400)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(0,1,0,0,2)+(5475*x^10+24928*x^9+100572*x^8-222479*x^7+179773* x^6+506775*x^5-1583*x^4-291219*x^3+62177*x^2+56087*x-16806)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(1,1,0,0,2)-(6293*x^10+45924*x^9+214362*x^8+6116*x^7-497264*x^6-91761* x^5+293182*x^4-31948*x^3-28551*x^2+66620*x-13746)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2 ,1,0,0,2)+(1289*x^10+10349*x^9+61448*x^8-15026*x^7+192657*x^6-333323*x^5-408683 *x^4+91968*x^3+118395*x^2+47727*x+12802)/(166*x^10+5587*x^9-7865*x^8+180177*x^7 +33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,2,0,0,2)+ (469*x^10+8891*x^9+136537*x^8-92606*x^7-259245*x^6-14162*x^5+56505*x^4-2043*x^3 -36262*x^2-13109*x+4552)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467* x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,2,0,0,2)+(731*x^10+6443*x ^9+63047*x^8+18473*x^7-352958*x^6+220819*x^5+338715*x^4-234742*x^3-71029*x^2+ 42590*x-12898)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336* x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,2,0,0,2)-(7021*x^10+48645*x^9+ 318273*x^8-48106*x^7-859889*x^6+53649*x^5+533650*x^4-114789*x^3-96668*x^2-11460 *x-26622)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,1,0,2)+(4167*x^10+34493*x^9-98224*x^8 -75356*x^7-241040*x^6+267171*x^5+512741*x^4-126739*x^3-119973*x^2+30977*x-36618 )/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3 -32302*x^2-23352*x-25164)*Tw(1,0,1,0,2)+(1760*x^10+11962*x^9+77365*x^8+153617*x ^7+656225*x^6-114739*x^5-638751*x^4-43281*x^3+185028*x^2+53870*x+15060)/(166*x^ 10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^ 2-23352*x-25164)*Tw(2,0,1,0,2)+(3101*x^10+19842*x^9+190557*x^8-356394*x^7-\ 236529*x^6+319195*x^5-85581*x^4-93744*x^3-14158*x^2-20718*x+19080)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(0,1,1,0,2)+(17457*x^10+126031*x^9+453598*x^8-389257*x^7-\ 446809*x^6-205391*x^5-10042*x^4+211703*x^3-17221*x^2-24229*x+25854)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(1,1,1,0,2)+(8910*x^10+54468*x^9+257631*x^8-477677*x^7-229930* x^6+294474*x^5+129004*x^4+87659*x^3-16810*x^2-37427*x-15750)/(166*x^10+5587*x^9 -7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(2,1,1,0,2)-(10079*x^10+59248*x^9+241041*x^8-711734*x^7+120031*x^6+ 846481*x^5-152439*x^4-259392*x^3-13750*x^2+18654*x+4276)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(0,2,1,0,2)+(8010*x^10+65016*x^9+338960*x^8+133610*x^7-381597*x^6-\ 133576*x^5+141297*x^4-138340*x^3-19147*x^2+68368*x+4308)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(1,2,1,0,2)+(7075*x^10+42610*x^9+126841*x^8-301260*x^7+168679*x^6+ 28980*x^5-383445*x^4-3005*x^3+73801*x^2+15403*x+15976)/(166*x^10+5587*x^9-7865* x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)* Tw(2,2,1,0,2)+(5632*x^10+36854*x^9+161001*x^8-154168*x^7+41803*x^6+280438*x^5-\ 20350*x^4-43366*x^3+29820*x^2+49223*x+1918)/(166*x^10+5587*x^9-7865*x^8+180177* x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,2,0, 0)-(7016*x^10+58707*x^9+235656*x^8+151881*x^7-168181*x^6-728475*x^5-373498*x^4+ 123424*x^3+149549*x^2+54356*x+28208)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,2,2,0,0)-( 4476*x^10+45025*x^9+311397*x^8+165256*x^7-638135*x^6-304657*x^5+45135*x^4+73863 *x^3+54130*x^2+29818*x-1818)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,2,2,0,0)-(3943*x^10+ 11150*x^9+180928*x^8-464066*x^7+106*x^6+330485*x^5-117352*x^4-15978*x^3-26878*x ^2-43280*x+7042)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+ 24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,2,2,0,0)+(5510*x^10+45880*x^9 +132104*x^8-237921*x^7-65659*x^6+283662*x^5+242602*x^4-70694*x^3-75850*x^2+3443 *x-5428)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,0,1,0)-(8156*x^10+53531*x^9+316197*x^ 8-122309*x^7-521914*x^6+358617*x^5+453842*x^4-169127*x^3-101476*x^2-2212*x-\ 16904)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,0,1,0)-(7434*x^10+57646*x^9+60574*x^8 +24752*x^7-122593*x^6-45623*x^5+126233*x^4-6852*x^3-52197*x^2+56742*x+4556)/( 166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(2,0,0,1,0)-(2708*x^10+11714*x^9+98246*x^8-440736*x^ 7+151392*x^6+399006*x^5-292409*x^4-279919*x^3-6635*x^2+39218*x+3270)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(0,1,0,1,0)-(85*x^10-1578*x^9-62028*x^8-64305*x^7-322950*x^6+ 6078*x^5+250914*x^4+85725*x^3-46015*x^2-71430*x+6516)/(166*x^10+5587*x^9-7865*x ^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)* Tw(1,1,0,1,0)+(2021*x^10+24922*x^9+148841*x^8+381150*x^7+92795*x^6-707057*x^5-\ 439903*x^4+222938*x^3+244244*x^2+36754*x+3602)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2 ,1,0,1,0)+(3700*x^10+22157*x^9+121890*x^8+40148*x^7+223843*x^6-150142*x^5-\ 247153*x^4+77956*x^3+82283*x^2+39320*x+25050)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0 ,2,0,1,0)+(4416*x^10+23083*x^9+53545*x^8-42699*x^7+145996*x^6-196012*x^5-296142 *x^4+68577*x^3+67021*x^2+11464*x+39450)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,2,0,1,0)-( 4815*x^10+44486*x^9+259510*x^8+220034*x^7-222445*x^6-393964*x^5-142925*x^4+ 124669*x^3+129829*x^2+41978*x-5508)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,2,0,1,0)-( 6720*x^10+38873*x^9+179752*x^8-524824*x^7-58831*x^6+504868*x^5-102749*x^4-\ 122694*x^3-5360*x^2-15501*x-6358)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412* x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,1,1,0)+(6523*x ^10+56675*x^9+400312*x^8+234702*x^7-622890*x^6-356833*x^5+126281*x^4+114366*x^3 +80219*x^2+28622*x+14048)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467 *x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,1,1,0)-(13544*x^10+ 86822*x^9+318220*x^8-558830*x^7-218048*x^6+331305*x^5-99392*x^4-105016*x^3+ 42910*x^2+11039*x+15284)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467* x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,1,1,0)-(818*x^10+10237* x^9-66553*x^8-92948*x^7+117748*x^6-206724*x^5-283194*x^4+125487*x^3+6075*x^2-\ 40498*x-3200)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x ^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,1,1,0)-(2534*x^10+9154*x^9+251037* x^8-96267*x^7-722*x^6-302625*x^5-477821*x^4+10091*x^3+201911*x^2+71857*x+18386) /(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(1,1,1,1,0)-(4828*x^10+35185*x^9+284442*x^8-181716*x ^7-822194*x^6+472786*x^5+707637*x^4-145364*x^3-111746*x^2-27527*x-46700)/(166*x ^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x ^2-23352*x-25164)*Tw(2,1,1,1,0)-(5712*x^10+44696*x^9+252451*x^8+121964*x^7-\ 387141*x^6-63334*x^5+150191*x^4-130097*x^3+60975*x^2+66323*x+1374)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(0,2,1,1,0)+(2859*x^10+20407*x^9-45636*x^8+69846*x^7+143323*x^ 6-142684*x^5-43261*x^4+148809*x^3-35574*x^2-38100*x+9122)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(1,2,1,1,0)-(2729*x^10+14004*x^9-145395*x^8-112412*x^7+72193*x^6-36105 *x^5+59122*x^4+103091*x^3-18235*x^2-37621*x-7938)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2 ,2,1,1,0)-(20*x^10-21619*x^9+58225*x^8-459202*x^7-118058*x^6+661626*x^5+247411* x^4-254467*x^3-53386*x^2+38261*x-27766)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,2,1,0)+( 3707*x^10+24812*x^9-6487*x^8-219536*x^7+120656*x^6+197263*x^5+71196*x^4+64304*x ^3+2*x^2-1851*x+4362)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5 +24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,2,1,0)-(12198*x^10+91938*x ^9+401997*x^8-205908*x^7-502578*x^6-325006*x^5-157757*x^4+102107*x^3-900*x^2+ 1801*x+10998)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x ^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,2,1,0)-(11452*x^10+77319*x^9+ 337428*x^8-479899*x^7-370152*x^6+467446*x^5+258680*x^4-33121*x^3-67208*x^2-\ 35886*x-25816)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336* x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,2,1,0)+(9993*x^10+87501*x^9+ 191297*x^8+154628*x^7-82624*x^6-502651*x^5-235458*x^4+194339*x^3+19349*x^2+295* x+23712)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,2,1,0)-(790*x^10+5221*x^9+77549*x^8+ 10965*x^7+5511*x^6-131466*x^5-38726*x^4+140947*x^3+40943*x^2-11468*x-15296)/( 166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(2,1,2,1,0)-(8936*x^10+61953*x^9+180476*x^8-253436*x ^7-533008*x^6+391542*x^5+661489*x^4-32701*x^3-219401*x^2-21928*x-6530)/(166*x^ 10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^ 2-23352*x-25164)*Tw(0,2,2,1,0)+(7602*x^10+71893*x^9+140251*x^8+213024*x^7-\ 262798*x^6-408730*x^5+96584*x^4+244069*x^3-31740*x^2-55318*x+6654)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(1,2,2,1,0)-(5215*x^10+29329*x^9+146990*x^8-220218*x^7-228099* x^6+253575*x^5+165162*x^4-17335*x^3-35792*x^2-69724*x+4276)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(2,1,0,1,1)+(7767*x^10+53556*x^9+395805*x^8-92200*x^7-600234*x^6+ 217182*x^5+350894*x^4-82116*x^3+30857*x^2+40863*x-27048)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(0,2,0,1,1)+(4830*x^10+23292*x^9+181775*x^8-379198*x^7+85669*x^6+ 246394*x^5-226847*x^4+66998*x^3-19336*x^2-53215*x+1254)/(166*x^10+5587*x^9-7865 *x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164) *Tw(1,2,0,1,1)-(5062*x^10+48088*x^9+244438*x^8+336595*x^7-362145*x^6-518281*x^5 +16807*x^4+238114*x^3+99429*x^2+6326*x-12744)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2 ,2,0,1,1)+(9831*x^10+71869*x^9+280888*x^8-221368*x^7-254172*x^6-128546*x^5-\ 211744*x^4+757*x^3+73773*x^2-12713*x-13746)/(166*x^10+5587*x^9-7865*x^8+180177* x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,1,1, 1)+(5945*x^10+43515*x^9+224559*x^8-44786*x^7-827456*x^6-88985*x^5+509040*x^4+ 84807*x^3-105010*x^2-5403*x+11230)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412 *x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,1,1,1)+(4347* x^10+39140*x^9+143883*x^8-92234*x^7+93396*x^6-295699*x^5-462811*x^4+84587*x^3+ 164129*x^2-10846*x+11036)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467 *x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,1,1,1)+(804*x^10+17596 *x^9+88737*x^8+81560*x^7-208377*x^6-210156*x^5+126257*x^4+76166*x^3+23798*x^2+ 4431*x-10066)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x ^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,1,1,1)+(8385*x^10+63896*x^9+85983* x^8-48065*x^7+82954*x^6-312244*x^5-333137*x^4+191268*x^3+151257*x^2+6710*x+2736 )/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3 -32302*x^2-23352*x-25164)*Tw(1,1,1,1,1)-(9748*x^10+74807*x^9+348383*x^8-132832* x^7-445140*x^6+207788*x^5+259025*x^4+5325*x^3+101943*x^2-1202*x-6300)/(166*x^10 +5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(2,1,1,1,1)-(561*x^10-2559*x^9+7642*x^8-154847*x^7+294928*x^6+ 283035*x^5-205791*x^4-112183*x^3-12659*x^2+1441*x+5286)/(166*x^10+5587*x^9-7865 *x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164) *Tw(0,2,1,1,1)+(7027*x^10+50379*x^9+213788*x^8-271030*x^7-481326*x^6-42425*x^5+ 113749*x^4+25405*x^3-36936*x^2-18032*x+5200)/(166*x^10+5587*x^9-7865*x^8+180177 *x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,2,1,1 ,1)+Tw(0,2,2,2,2), -(7148*x^10+56250*x^9+122925*x^8-29384*x^7-320462*x^6-131321 *x^5+387409*x^4-44345*x^3-64864*x^2+22966*x+17416)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0 ,2,0,0,1)-(11222*x^10+101373*x^9+222054*x^8+205917*x^7-57961*x^6+427315*x^5-\ 508397*x^4+60570*x^3+35925*x^2+11654*x-42398)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1 ,2,0,0,1)-(3940*x^10+37987*x^9+16962*x^8+18612*x^7+164598*x^6-269656*x^5+72375* x^4+68537*x^3-39141*x^2+2736*x-50)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412 *x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,2,0,0,1)+(2998* x^10+18379*x^9-33652*x^8-60754*x^7+252383*x^6-31881*x^5-221652*x^4+37596*x^3+ 37809*x^2+16146*x-22502)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467* x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,1,0,1)+(4570*x^10+38343 *x^9+60682*x^8-82690*x^7-32056*x^6+196913*x^5-274191*x^4-19048*x^3+79723*x^2+ 30578*x-6666)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x ^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,1,0,1)+(1510*x^10+9458*x^9-16128*x ^8-180586*x^7-149147*x^6+88280*x^5+103014*x^4-107284*x^3+32925*x^2+39546*x+ 20802)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,1,0,1)+(1474*x^10+17485*x^9+149968*x^ 8+316218*x^7+282883*x^6+78629*x^5-308302*x^4-21655*x^3+12118*x^2-20586*x-29536) /(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(0,1,1,0,1)+(6796*x^10+68700*x^9+58811*x^8+266386*x^ 7+320086*x^6-100114*x^5-220046*x^4+130211*x^3-43970*x^2-30802*x-26372)/(166*x^ 10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^ 2-23352*x-25164)*Tw(1,1,1,0,1)-(1274*x^10+3935*x^9-9505*x^8-143776*x^7-363703*x ^6+397699*x^5-73039*x^4-28584*x^3-21627*x^2+33898*x-20030)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(2,1,1,0,1)+(1912*x^10+23677*x^9+37587*x^8-121354*x^7-252037*x^6+ 104537*x^5+186469*x^4-96405*x^3-43016*x^2+26318*x+22808)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(0,2,1,0,1)+(6804*x^10+73392*x^9+149613*x^8+349542*x^7+434140*x^6-\ 272916*x^5-210464*x^4+44271*x^3+20298*x^2-29754*x-18656)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(1,2,1,0,1)+(7438*x^10+65118*x^9+25432*x^8-108873*x^7-278609*x^6-57864 *x^5+182890*x^4+57674*x^3-79096*x^2+12180*x-1612)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2 ,2,1,0,1)+(3842*x^10+42506*x^9+173399*x^8+248694*x^7-24732*x^6-123656*x^5-18314 *x^4+90016*x^3-41549*x^2-30082*x-18822)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,2,0,1)-( 2574*x^10+12832*x^9-30355*x^8-158812*x^7-81714*x^6+243171*x^5-4907*x^4-100588*x ^3+52447*x^2+35554*x+14138)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,2,0,1)+(2044*x^10+ 15218*x^9+13195*x^8+89804*x^7+171926*x^6-172727*x^5+16409*x^4-62451*x^3+38142*x ^2+17806*x-2772)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+ 24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,2,0,1)-(1688*x^10+11121*x^9 -109679*x^8-164828*x^7-3124*x^6+205135*x^5-228711*x^4+144068*x^3+33256*x^2+ 16904*x-15372)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336* x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,2,0,1)+(2776*x^10+29658*x^9+ 123334*x^8+139550*x^7-268496*x^6+72280*x^5+67770*x^4+10413*x^3-11693*x^2-1652*x -8202)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,2,0,1)-(9746*x^10+96358*x^9+383238*x^ 8+545417*x^7-98136*x^6-185110*x^5-49988*x^4-5779*x^3-39478*x^2-31126*x-27848)/( 166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(2,1,2,0,1)+(8658*x^10+83392*x^9+346247*x^8+364084*x ^7-423599*x^6-109345*x^5+185535*x^4-46016*x^3-55826*x^2-37912*x+7668)/(166*x^10 +5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(0,2,2,0,1)+(648*x^10+5332*x^9-43276*x^8+157669*x^7+229192*x^6 -95820*x^5-210050*x^4+105178*x^3+67653*x^2-35078*x-29022)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(1,2,2,0,1)+(4740*x^10+39265*x^9+191400*x^8+138510*x^7+116776*x^6+ 235380*x^5-350388*x^4+117198*x^3-13043*x^2-8334*x-28942)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(2,2,2,0,1)+(7500*x^10+68151*x^9+226642*x^8+75339*x^7-263255*x^6+ 253380*x^5-194615*x^4-35166*x^3-59276*x^2+9244*x+6276)/(166*x^10+5587*x^9-7865* x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)* Tw(0,0,0,1,1)-(346*x^10-9967*x^9-230494*x^8-240623*x^7+499975*x^6+283064*x^5-\ 430760*x^4+92823*x^3+35268*x^2+33386*x-41788)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2 ,1,0,1,2)+(7690*x^10+75499*x^9+236838*x^8+156582*x^7-278137*x^6-162617*x^5+ 49685*x^4+2212*x^3-23512*x^2+9788*x+9748)/(166*x^10+5587*x^9-7865*x^8+180177*x^ 7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,2,0,1,2) -(11796*x^10+103430*x^9+271617*x^8+89745*x^7-384505*x^6-95329*x^5+188231*x^4-\ 5003*x^3-45884*x^2-8654*x+13204)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x ^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,2,0,1,2)+(6350*x^ 10+55560*x^9+186637*x^8+178615*x^7+78139*x^6+223088*x^5-241084*x^4+43389*x^3+32 *x^2-27410*x-23896)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+ 24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,2,0,1,2)+(262*x^10+3726*x^9-\ 43986*x^8+32409*x^7+362437*x^6-190892*x^5+15645*x^4+148879*x^3-5694*x^2-29266*x -13228)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,1,1,2)+(9566*x^10+84996*x^9+334799*x^ 8+281583*x^7-196672*x^6-260651*x^5+246890*x^4-34437*x^3-103540*x^2-12426*x+2736 )/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3 -32302*x^2-23352*x-25164)*Tw(1,0,1,1,2)-(578*x^10+11102*x^9+22481*x^8+108944*x^ 7+200746*x^6-114942*x^5-82418*x^4-68477*x^3+89216*x^2+1050*x-15336)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(2,0,1,1,2)+(3006*x^10+14225*x^9+41046*x^8-239842*x^7-230513*x ^6+317371*x^5-105710*x^4+194177*x^3-67670*x^2-17450*x-10192)/(166*x^10+5587*x^9 -7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(0,1,1,1,2)-(6414*x^10+52169*x^9+110816*x^8+15383*x^7-608*x^6+346073*x ^5-292895*x^4-23570*x^3+36972*x^2+17064*x-31056)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1 ,1,1,1,2)-(1044*x^10-653*x^9-35244*x^8-154325*x^7-152016*x^6+334554*x^5-85697*x ^4-19422*x^3+65055*x^2+39142*x-16462)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,1,1,2)-( 4694*x^10+46248*x^9+78910*x^8+211868*x^7+165318*x^6-44127*x^5-58594*x^4-85701*x ^3+58254*x^2+8334*x-13692)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,2,1,1,2)-(6052*x^10+ 49731*x^9-92358*x^8-61835*x^7-157648*x^6-312799*x^5+370317*x^4-79708*x^3+12962* x^2+23148*x+33156)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+ 24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,2,1,1,2)-(6338*x^10+60361*x^9 +143016*x^8-77683*x^7-414430*x^6+267028*x^5+95719*x^4-125782*x^3-67629*x^2+ 48678*x+26458)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336* x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,2,1,1,2)+(5234*x^10+42966*x^9+ 141105*x^8-34367*x^7-583225*x^6-139010*x^5+423719*x^4-17619*x^3-118963*x^2+4568 *x+42182)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,2,1,2)-(6008*x^10+55856*x^9+208385*x^ 8+239203*x^7-172674*x^6+195591*x^5-135786*x^4-59609*x^3+28724*x^2+670*x-15328)/ (166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(1,0,2,1,2)-(8636*x^10+91742*x^9+355576*x^8+578602*x ^7-1188*x^6-425010*x^5+119441*x^4-108097*x^3+18358*x^2-26286*x+1952)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(2,0,2,1,2)+(6698*x^10+46382*x^9-24840*x^8-142104*x^7-93122*x^ 6+306675*x^5-14784*x^4-18266*x^3-95469*x^2+45030*x-19566)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(0,1,2,1,2)+(1870*x^10+15715*x^9-120886*x^8-156536*x^7-52698*x^6-\ 435150*x^5+530185*x^4-45076*x^3-49508*x^2+10112*x+43984)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(1,1,2,1,2)+(7704*x^10+68969*x^9+104538*x^8-33768*x^7-191499*x^6+ 151053*x^5-169746*x^4+82159*x^3+20872*x^2+16138*x-28716)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(2,1,2,1,2)-(78*x^10-8068*x^9-25319*x^8-166534*x^7-421118*x^6+340041*x ^5+94095*x^4-61893*x^3+15768*x^2+4106*x+13684)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0 ,2,2,1,2)-(1158*x^10+10998*x^9+95134*x^8+154348*x^7-102527*x^6-286984*x^5+ 128755*x^4+75786*x^3-18882*x^2-50692*x+19988)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1 ,2,2,1,2)-(10006*x^10+86795*x^9+174545*x^8-24639*x^7-367418*x^6+249681*x^5-\ 244670*x^4+143552*x^3-13582*x^2-10216*x-9280)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2 ,2,2,1,2)+(2906*x^10+26925*x^9-21751*x^8+22426*x^7-183804*x^6-163113*x^5+115091 *x^4+35941*x^3+49423*x^2-9504*x+13450)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,0,2,2)-( 4514*x^10+28822*x^9+91631*x^8-32540*x^7+141501*x^6+726289*x^5-561437*x^4+12814* x^3+22508*x^2+32208*x-49188)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,0,2,2)+(430*x^10+ 7457*x^9+83266*x^8+267839*x^7+182990*x^6-86832*x^5-87272*x^4+90837*x^3-77809*x^ 2-48116*x-27134)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+ 24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,0,2,2)-(4142*x^10+46692*x^9 +108898*x^8+165440*x^7+66872*x^6+154371*x^5-316004*x^4-11447*x^3+48038*x^2-3146 *x-39808)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,1,1,1)-(826*x^10+20103*x^9+86612*x^8+ 133889*x^7+51017*x^6-195366*x^5+60817*x^4+28001*x^3-1493*x^2-14164*x-9682)/(166 *x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302 *x^2-23352*x-25164)*Tw(0,1,1,1,1)-(7598*x^10+66314*x^9+45390*x^8+57188*x^7+ 106677*x^6+79117*x^5-317453*x^4+61871*x^3+61950*x^2+22238*x-31932)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(1,1,1,1,1)+(9008*x^10+84162*x^9+284298*x^8+133368*x^7-378960* x^6-4437*x^5+189730*x^4-114731*x^3+34598*x^2+7654*x+27504)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(2,1,1,1,1)+(546*x^10-572*x^9-8765*x^8-60630*x^7-42594*x^6+299761*x^5-\ 91977*x^4-25968*x^3-37921*x^2+16198*x-11310)/(166*x^10+5587*x^9-7865*x^8+180177 *x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,2,1,1 ,1)-(6674*x^10+63664*x^9+163564*x^8+132780*x^7-244655*x^6-53968*x^5+12593*x^4+ 43912*x^3-39970*x^2-23380*x-4328)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412* x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,2,1,1,1)+(2194*x ^10+11989*x^9-86165*x^8-10007*x^7+158340*x^6+39529*x^5-146291*x^4+52398*x^3-\ 38875*x^2+27214*x-19438)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467* x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,2,1,1,1)+(1254*x^10+7761* x^9+88730*x^8-143577*x^7-369401*x^6+58794*x^5+278008*x^4-6157*x^3-42160*x^2+ 38630*x+23416)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336* x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,2,0,0)-(5208*x^10+42878*x^9+ 117707*x^8+44984*x^7-132674*x^6+203642*x^5-5785*x^4-5765*x^3-51215*x^2+35400*x-\ 2390)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414 *x^3-32302*x^2-23352*x-25164)*Tw(2,1,2,0,0)+(6634*x^10+70247*x^9+198265*x^8+ 485842*x^7+295143*x^6-174661*x^5-256293*x^4+50145*x^3-18874*x^2-37466*x-50500)/ (166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(0,2,2,0,0)+(4264*x^10+53058*x^9+285124*x^8+354585*x ^7-233842*x^6-177643*x^5+17762*x^4-54002*x^3-10286*x^2-15968*x+19728)/(166*x^10 +5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(1,2,2,0,0)+(3850*x^10+24126*x^9+130570*x^8-38839*x^7-268443*x ^6+356345*x^5-135789*x^4+52122*x^3-41394*x^2-3160*x-21908)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(2,2,2,0,0)-(5036*x^10+48550*x^9+97121*x^8-148612*x^7-107518*x^6+25991 *x^5+131000*x^4+13557*x^3-55633*x^2+17440*x+9086)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0 ,0,0,1,0)+(7550*x^10+63097*x^9+262249*x^8+131403*x^7-386326*x^6-81788*x^5+ 364181*x^4-97832*x^3-91172*x^2-13908*x+30484)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1 ,0,0,1,0)+(6660*x^10+57182*x^9+33003*x^8+10382*x^7+51108*x^6-118673*x^5+44505*x ^4+44877*x^3-60058*x^2+18794*x+9332)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,0,1,0)+( 2664*x^10+20498*x^9+56747*x^8-125019*x^7-223022*x^6+363942*x^5-84209*x^4-111393 *x^3-80484*x^2+58190*x-3012)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,0,1,0)+(128*x^10+ 357*x^9-60332*x^8-4401*x^7-180543*x^6-121556*x^5+106470*x^4+33469*x^3+56018*x^2 -47454*x+16992)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336 *x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,0,1,0)-(1856*x^10+25795*x^9+ 146635*x^8+378825*x^7+350073*x^6-106927*x^5-300725*x^4+6556*x^3+71902*x^2-10296 *x-44596)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,0,1,0)-(3404*x^10+25962*x^9+98511*x^8 +158402*x^7+200702*x^6+120156*x^5-192478*x^4+60601*x^3-17638*x^2-4702*x-29076)/ (166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(0,2,0,1,0)-(4076*x^10+28230*x^9+27151*x^8+134074*x^ 7+147162*x^6+117239*x^5-231123*x^4+56885*x^3+7758*x^2-23246*x-23640)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(1,2,0,1,0)+(4546*x^10+51922*x^9+231720*x^8+412324*x^7+70314*x ^6-106901*x^5-96686*x^4+4943*x^3-10306*x^2-12094*x-27432)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(2,2,0,1,0)+(6448*x^10+54348*x^9+109083*x^8+3338*x^7-403094*x^6+396230 *x^5-48423*x^4-21947*x^3-60405*x^2+25412*x-17530)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0 ,0,1,1,0)-(6124*x^10+66261*x^9+364481*x^8+453081*x^7-138749*x^6-229328*x^5+ 66133*x^4-39215*x^3-4540*x^2-44402*x+15872)/(166*x^10+5587*x^9-7865*x^8+180177* x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,1,1, 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8+328148*x^7-107431*x^6-191188*x^5+231363*x^4-137610*x^3-46301*x^2-3790*x+16026 )/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3 -32302*x^2-23352*x-25164)*Tw(0,2,1,1,0)-(2368*x^10+13735*x^9-45103*x^8-127540*x ^7+149189*x^6+7389*x^5-155008*x^4+101440*x^3+33060*x^2-16216*x-3508)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(1,2,1,1,0)+(2348*x^10+10925*x^9-149245*x^8-174827*x^7+69314*x ^6-45457*x^5-51339*x^4+92472*x^3+41275*x^2+4154*x-12150)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(2,2,1,1,0)+(284*x^10-10042*x^9+28733*x^8-87025*x^7-381043*x^6+171621* x^5+276914*x^4-71085*x^3-97949*x^2+56644*x+4082)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0 ,0,2,1,0)-(3354*x^10+25848*x^9-29733*x^8-155849*x^7-22940*x^6+115577*x^5-34003* x^4+80187*x^3+6249*x^2+20904*x-5934)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,2,1,0)+( 11428*x^10+109244*x^9+323586*x^8+311385*x^7-154539*x^6-1036*x^5-217794*x^4+ 87499*x^3-74191*x^2-28376*x-28530)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412 *x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,2,1,0)+(10662 *x^10+91915*x^9+251682*x^8-19266*x^7-468068*x^6+187964*x^5+103215*x^4+22552*x^3 -72822*x^2+14792*x-3832)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467* x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,2,1,0)-(9084*x^10+90429 *x^9+149348*x^8+242609*x^7+216411*x^6-59644*x^5-287262*x^4+123022*x^3-17267*x^2 -41558*x-29298)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336 *x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,2,1,0)+(760*x^10+7298*x^9+71491* x^8+64464*x^7+56379*x^6+2647*x^5-99446*x^4+79243*x^3+7202*x^2-226*x-26912)/(166 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33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,1,0,0)-( 3300*x^10+18803*x^9-42626*x^8-294282*x^7-13519*x^6+324909*x^5-228560*x^4+30085* x^3-8838*x^2+33362*x-11048)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,1,0,0)+(9028*x^10+ 78359*x^9+189176*x^8+273051*x^7-42828*x^6-204965*x^5+88390*x^4+92142*x^3-29967* x^2-23574*x-19114)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+ 24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,1,0,0)+(7260*x^10+72930*x^9 +266927*x^8+471301*x^7+52354*x^6-221713*x^5+26663*x^4-21136*x^3-68760*x^2-28748 *x-1316)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,1,0,0)-(3784*x^10+20691*x^9+27217*x^8 -395162*x^7-300391*x^6+502170*x^5-203158*x^4+170796*x^3+103*x^2+7858*x-12074)/( 166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(1,1,1,0,0)-(1462*x^10+14370*x^9+64213*x^8-27489*x^7 +67008*x^6+329647*x^5-280176*x^4+30648*x^3-28659*x^2+33374*x-33002)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(2,1,1,0,0)-(202*x^10+19928*x^9+149603*x^8+137082*x^7-206966*x ^6-97734*x^5+90416*x^4-16124*x^3+52213*x^2-1214*x+20214)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(1,1,2,0,2)+(18754*x^10+165466*x^9+409655*x^8+18443*x^7-889097*x^6+ 142642*x^5+240295*x^4-32835*x^3-52593*x^2+27512*x+20002)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(2,1,2,0,2)-(1438*x^10+13487*x^9+34154*x^8-11215*x^7-96043*x^6-207722* x^5+137287*x^4-60261*x^3+45327*x^2+13528*x+23394)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0 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^7+42097*x^6-306286*x^5+135502*x^4+54193*x^3+12399*x^2-18404*x-5230)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(2,0,0,1,2)+(1744*x^10+17339*x^9+41062*x^8+19513*x^7-165485*x^ 6-127480*x^5+108752*x^4-30373*x^3-938*x^2+10054*x+25628)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(0,1,0,1,2)+(13198*x^10+112818*x^9+262607*x^8-33482*x^7-438484*x^6+ 185940*x^5-101388*x^4+111342*x^3+43777*x^2-27014*x-8170)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(1,1,0,1,2)+(5140*x^10+44836*x^9+95133*x^8-15137*x^7+77141*x^6+216747* x^5-345577*x^4+6637*x^3+18492*x^2+31482*x-28148)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1 ,0,0,1,1)+(5764*x^10+44510*x^9+88079*x^8-159065*x^7-347208*x^6+286825*x^5-21484 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x+7530)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(0,2,0,1,1)-(4510*x^10+30963*x^9+134726*x^ 8-114915*x^7-230465*x^6+407694*x^5-269797*x^4+75421*x^3-17007*x^2+8960*x-19878) /(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(1,2,0,1,1)+(4584*x^10+49232*x^9+230711*x^8+312345*x ^7+66476*x^6-250720*x^5-73097*x^4+34033*x^3+36752*x^2-23602*x-8208)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(2,2,0,1,1)-(9174*x^10+84564*x^9+214113*x^8+178736*x^7-170306* x^6+79927*x^5-145687*x^4-31770*x^3-18953*x^2+5494*x-28686)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(0,0,1,1,1)-(5652*x^10+55271*x^9+191341*x^8+264834*x^7-292030*x^6-\ 317634*x^5+248998*x^4+75491*x^3-53085*x^2-58040*x+25786)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(1,0,1,1,1)+(7416*x^10+74978*x^9+241091*x^8+163627*x^7-595674*x^6-\ 184469*x^5+402976*x^4-28190*x^3-35311*x^2-19278*x+39978)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(0,1,0,2,2)+(8*x^10-3585*x^9-124003*x^8-257377*x^7-8747*x^6+555014*x^5 -426984*x^4+115120*x^3+30284*x^2-4892*x-32392)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1 ,1,0,2,2)+(1364*x^10+16973*x^9+74528*x^8+44635*x^7-10406*x^6-122873*x^5+42754*x ^4-14552*x^3-10625*x^2-10938*x+16186)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,0,2,2)-( 12888*x^10+126580*x^9+327139*x^8+304307*x^7-474049*x^6-223000*x^5+245350*x^4-\ 33821*x^3-6770*x^2-28762*x+32544)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412* x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,2,0,2,2)-(5364*x ^10+41216*x^9+97565*x^8-71848*x^7-144062*x^6+241864*x^5-121509*x^4+21219*x^3-\ 60301*x^2+976*x-8174)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5 +24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,2,0,2,2)+(2210*x^10+12512*x^ 9-55757*x^8-95322*x^7+86343*x^6+37665*x^5-39267*x^4+10310*x^3-60904*x^2-10544*x +3612)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(2,2,0,2,2)-(7638*x^10+79476*x^9+169882*x^ 8+215051*x^7-322955*x^6-268112*x^5+387436*x^4-136464*x^3-27230*x^2+1816*x+33948 )/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3 -32302*x^2-23352*x-25164)*Tw(0,0,1,2,2)-(9454*x^10+93511*x^9+282004*x^8+358949* x^7-70933*x^6-486977*x^5+163929*x^4+74299*x^3-113704*x^2-61410*x+11192)/(166*x^ 10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^ 2-23352*x-25164)*Tw(1,0,1,2,2)-(6564*x^10+48699*x^9+216708*x^8-35399*x^7+29883* x^6+301168*x^5-274456*x^4+30569*x^3-14334*x^2-14946*x-18568)/(166*x^10+5587*x^9 -7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(2,0,1,2,2)-(2796*x^10+13813*x^9+66252*x^8-192012*x^7-212932*x^6+ 239572*x^5-87497*x^4-13784*x^3+10538*x^2+19128*x+2872)/(166*x^10+5587*x^9-7865* x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)* Tw(0,1,1,2,2)-(3596*x^10+39022*x^9+179254*x^8+184369*x^7-550205*x^6-71365*x^5+ 498607*x^4-187295*x^3-54917*x^2+27104*x+37414)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1 ,1,1,2,2)+(1234*x^10+7436*x^9+40870*x^8-73666*x^7-288789*x^6+375291*x^5-239557* x^4-56766*x^3+33973*x^2+29682*x-12646)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,1,2,2)+( 12054*x^10+99812*x^9+271924*x^8+36239*x^7-379870*x^6+35140*x^5-42438*x^4+61601* x^3+19166*x^2+12494*x-6584)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,2,1,2,2)-(1216*x^10+ 22892*x^9+151141*x^8+287075*x^7+272180*x^6-155235*x^5-110772*x^4+70888*x^3-\ 47853*x^2-19250*x-18382)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467* x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,2,1,2,2)+(2174*x^10+11443 *x^9+69705*x^8-121355*x^7+102991*x^6+220135*x^5-247800*x^4+67661*x^3+5244*x^2+ 19042*x-21252)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336* x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,2,1,2,2)+(5636*x^10+30048*x^9-46037 *x^8-241831*x^7+56285*x^6+608947*x^5-520347*x^4+70100*x^3+10131*x^2+37610*x-\ 34282)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,2,2,2)+(3782*x^10+29494*x^9+49982*x^8 -197813*x^7-200136*x^6+293741*x^5-25325*x^4+15453*x^3-56806*x^2+22518*x-9432)/( 166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(1,0,2,2,2)-(11000*x^10+101815*x^9+138101*x^8+120936 *x^7-271634*x^6-163292*x^5+384664*x^4-46879*x^3-58049*x^2-5604*x+19278)/(166*x^ 10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^ 2-23352*x-25164)*Tw(2,0,2,2,2)+(3112*x^10+41458*x^9+286338*x^8+294118*x^7-\ 321345*x^6-147087*x^5+30215*x^4-26069*x^3-71860*x^2-290*x+14384)/(166*x^10+5587 *x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352 *x-25164)*Tw(0,1,2,2,2)-(6070*x^10+54831*x^9+159408*x^8+200684*x^7-67379*x^6-\ 22328*x^5-17771*x^4+234*x^3+51877*x^2-29382*x-10906)/(166*x^10+5587*x^9-7865*x^ 8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw (0,2,1,0,0)-(3542*x^10+32084*x^9+160005*x^8+96320*x^7-282412*x^6-53895*x^5+ 167839*x^4+50137*x^3-93318*x^2-37794*x+7728)/(166*x^10+5587*x^9-7865*x^8+180177 *x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,2,1,0 ,0)+(7034*x^10+71510*x^9+178164*x^8+286889*x^7+203119*x^6-187623*x^5-169621*x^4 +16789*x^3-38187*x^2+9336*x-16626)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412 *x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,2,1,0,0)-(5450* x^10+60888*x^9+381415*x^8+643301*x^7+142887*x^6-198318*x^5-45303*x^4-37886*x^3-\ 94114*x^2-26468*x-28036)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467* x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,2,0,0)+(10624*x^10+ 99993*x^9+365221*x^8+415564*x^7-20458*x^6-335886*x^5-20755*x^4+46952*x^3-34425* x^2-53298*x+6834)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+ 24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,2,0,0)-(8022*x^10+70598*x^9 +265704*x^8+119689*x^7-222024*x^6+205489*x^5-230269*x^4-47827*x^3+30906*x^2+ 31798*x+380)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^ 4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,2,0,0)-(9876*x^10+73279*x^9+88077*x ^8-53395*x^7-374301*x^6+109401*x^5+44896*x^4+18890*x^3+921*x^2+36850*x-6490)/( 166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(0,1,2,0,0)-(116*x^10+15714*x^9+77189*x^8+231417*x^7 -57910*x^6-522125*x^5+522038*x^4-67758*x^3-85517*x^2-23198*x+29582)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(0,0,2,1,1)-(4428*x^10+43377*x^9+102225*x^8-43489*x^7-81408*x^ 6+69469*x^5+53799*x^4-9698*x^3-84525*x^2+17494*x+24518)/(166*x^10+5587*x^9-7865 *x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164) *Tw(1,0,2,1,1)-(3918*x^10+30930*x^9-47906*x^8-90732*x^7+125728*x^6+239067*x^5-\ 133642*x^4+39950*x^3-42421*x^2+18142*x-13554)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2 ,0,2,1,1)-(5100*x^10+50894*x^9+113519*x^8+90857*x^7-186175*x^6-129503*x^5-52705 *x^4+59580*x^3+59195*x^2-3154*x-7138)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,2,1,1)+( 9650*x^10+89405*x^9+164798*x^8+127695*x^7-248152*x^6-256967*x^5+311892*x^4-\ 65572*x^3-45431*x^2-18762*x+24622)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412 *x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,2,1,1)-(1316* x^10+11522*x^9+63907*x^8+142508*x^7+231920*x^6-170651*x^5+69214*x^4-34486*x^3-\ 38936*x^2-2428*x+212)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5 +24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,2,1,1)-(10266*x^10+95749*x ^9+196444*x^8+176099*x^7-414941*x^6-190140*x^5+453707*x^4-113318*x^3-105656*x^2 +11788*x+19632)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336 *x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,2,2,1,1)+(1130*x^10+13615*x^9+ 12329*x^8+192994*x^7+66893*x^6-340335*x^5+211139*x^4+27803*x^3-68968*x^2-22570* x-1216)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(1,2,2,1,1)+(5288*x^10+31785*x^9+32912*x^8 -188448*x^7-147714*x^6+180423*x^5+4616*x^4+68311*x^3-89893*x^2+15852*x+16274)/( 166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(2,2,2,1,1)-(3426*x^10+36312*x^9+83473*x^8+66970*x^7 -135331*x^6-144863*x^5+46784*x^4+62780*x^3-40483*x^2-31486*x+3506)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(0,0,0,2,1)+(6258*x^10+53883*x^9+117771*x^8+61445*x^7-103349*x ^6-158775*x^5+26291*x^4+18205*x^3+12993*x^2-2668*x+8714)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(1,0,0,2,1)-(612*x^10+3200*x^9+27306*x^8-203672*x^7-207289*x^6+3024*x^ 5+178867*x^4+13420*x^3-47560*x^2+15488*x+11980)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2 ,0,0,2,1)-(684*x^10+7767*x^9-49949*x^8-58290*x^7+44911*x^6-179909*x^5+39744*x^4 +27758*x^3+42090*x^2+10560*x+9412)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412 *x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,0,2,1)-(2016* x^10+24825*x^9+144660*x^8+104033*x^7-74878*x^6-270909*x^5+214524*x^4-30810*x^3-\ 74743*x^2+6434*x+19950)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x ^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,0,2,1)+(5670*x^10+48488* x^9-5352*x^8-255914*x^7-545404*x^6-36779*x^5+301198*x^4-927*x^3+51104*x^2+26886 *x+33668)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,0,2,1)+(838*x^10+6988*x^9-106566*x^8-\ 64602*x^7+11187*x^6+110433*x^5+20944*x^4-121163*x^3-7037*x^2+57152*x+5230)/(166 *x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302 *x^2-23352*x-25164)*Tw(0,2,0,2,1)-(13634*x^10+131414*x^9+476327*x^8+315686*x^7-\ 120830*x^6+60833*x^5-268686*x^4+52944*x^3-16144*x^2+12136*x-27600)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(1,2,0,2,1)+(2634*x^10+15703*x^9-26908*x^8-159074*x^7+31238*x^ 6-20343*x^5+93392*x^4+109763*x^3-54203*x^2+23556*x-14394)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(2,2,0,2,1)-(2036*x^10+31943*x^9+166659*x^8+303587*x^7+256692*x^6-\ 251521*x^5-31157*x^4+72991*x^3-45964*x^2-29598*x-20956)/(166*x^10+5587*x^9-7865 *x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164) *Tw(0,0,1,2,1)-(874*x^10+8445*x^9+119164*x^8+147932*x^7-234935*x^6+476816*x^5-\ 281604*x^4-122732*x^3+46342*x^2+44668*x-23752)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1 ,0,1,2,1)-(5158*x^10+38157*x^9-8396*x^8+40859*x^7+157927*x^6+90176*x^5-87802*x^ 4-76207*x^3-20266*x^2+26386*x-14664)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,1,2,1)-( 3454*x^10+21826*x^9-19148*x^8-71730*x^7+168335*x^6+212499*x^5-91242*x^4+34360*x ^3-78902*x^2-6648*x-15972)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,1,2,1)-(7620*x^10+ 62209*x^9+132500*x^8-19053*x^7-327996*x^6-194831*x^5+374761*x^4+24512*x^3-89214 *x^2-14116*x+24444)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+ 24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,1,2,1)-(7522*x^10+53770*x^9 +104017*x^8-62350*x^7-467393*x^6+433510*x^5-184201*x^4-8456*x^3+12193*x^2+26430 *x-15010)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,1,2,1)+(11676*x^10+100974*x^9+304195* x^8+324427*x^7+1655*x^6-39298*x^5-134443*x^4+94122*x^3-1496*x^2-28756*x-36100)/ (166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(0,2,1,2,1)+(3880*x^10+37731*x^9+141483*x^8+122128*x ^7-15633*x^6-219146*x^5+98038*x^4-100225*x^3+28860*x^2-7734*x+2372)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(1,2,1,2,1)+(1440*x^10+14961*x^9+97224*x^8+64941*x^7+17736*x^6 +339077*x^5-431277*x^4+28971*x^3+27901*x^2+14252*x-37542)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(2,2,1,2,1)-(12012*x^10+123164*x^9+330528*x^8+341148*x^7-106453*x^6-\ 309788*x^5-5077*x^4+40200*x^3+19570*x^2-35180*x+8480)/(166*x^10+5587*x^9-7865*x ^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)* Tw(0,0,2,2,1)-(216*x^10+3373*x^9+58918*x^8-41258*x^7-109442*x^6+452866*x^5-\ 465638*x^4+58962*x^3+50233*x^2+23022*x-39490)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1 ,0,2,2,1)+(3504*x^10+45226*x^9+185930*x^8+175504*x^7-250216*x^6-338343*x^5+ 316720*x^4-86911*x^3-34130*x^2-33514*x+32076)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2 ,0,2,2,1)-(1420*x^10+6694*x^9+67680*x^8+10863*x^7+293199*x^6+326559*x^5-340833* x^4-100860*x^3+30530*x^2+45500*x-23568)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,1,0,2)-( 3082*x^10+30594*x^9+147885*x^8-8943*x^7-426718*x^6+285806*x^5-52584*x^4-67000*x ^3-16580*x^2+1524*x+21672)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,1,0,2)-(16170*x^10 +144754*x^9+347234*x^8+187291*x^7-142495*x^6+52012*x^5-233761*x^4+190106*x^3-\ 58727*x^2-37942*x-32610)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467* x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,1,0,2)-(8330*x^10+67683 *x^9+188003*x^8-54127*x^7-324818*x^6+197533*x^5-44234*x^4+97099*x^3-32311*x^2+ 14716*x-19314)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336* x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,1,0,2)+(9442*x^10+74492*x^9+ 145289*x^8-168271*x^7-502194*x^6+615366*x^5-44810*x^4-85064*x^3-90716*x^2+67852 *x+1048)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(0,2,1,0,2)-(7502*x^10+76079*x^9+291406*x^ 8+424414*x^7-5253*x^6-202070*x^5+196409*x^4-66421*x^3-124978*x^2-27794*x-4476)/ (166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(1,2,1,0,2)+(560*x^10-3486*x^9+25111*x^8-218603*x^7-\ 435128*x^6+349157*x^5+16440*x^4-56978*x^3-65633*x^2+39078*x+29222)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(0,1,2,2,1)+(9662*x^10+80614*x^9+108727*x^8-167847*x^7-547646* x^6+161153*x^5+385210*x^4-103553*x^3-86148*x^2+62530*x+32292)/(166*x^10+5587*x^ 9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(1,1,2,2,1)-(6732*x^10+65747*x^9+277126*x^8+364068*x^7-233840*x^6+ 106154*x^5-94108*x^4+19029*x^3-62744*x^2-54286*x-11144)/(166*x^10+5587*x^9-7865 *x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164) *Tw(2,1,2,2,1)+(868*x^10+9396*x^9+159681*x^8+91814*x^7-370753*x^6-10411*x^5+ 188882*x^4-126113*x^3+41634*x^2-9890*x+35944)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0 ,2,2,2,1)+(5364*x^10+37756*x^9+63756*x^8-160884*x^7-597559*x^6+188227*x^5+ 327083*x^4-180305*x^3-10890*x^2+54466*x+34872)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1 ,2,2,2,1)+(4020*x^10+34569*x^9-52836*x^8-309996*x^7-448246*x^6-44046*x^5+342036 *x^4-87842*x^3-20971*x^2+15850*x+51094)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,2,2,2,1)-( 868*x^10+1631*x^9+44757*x^8-79124*x^7-206978*x^6+185113*x^5+96802*x^4-70681*x^3 +37942*x^2+37862*x+20908)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467 *x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,0,0,2)-(15562*x^10+ 145488*x^9+342859*x^8+195435*x^7-362482*x^6-57503*x^5-13012*x^4+72814*x^3+26333 *x^2-28430*x-7946)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+ 24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,0,0,2)-(6592*x^10+52111*x^9 +72492*x^8+36109*x^7-25465*x^6+296668*x^5-278690*x^4+30174*x^3-21957*x^2+22010* x-33854)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(2,2,1,0,2)+(4822*x^10+51526*x^9+296835*x^ 8+464200*x^7-156618*x^6-465823*x^5+284149*x^4-155178*x^3+3105*x^2+2846*x+25426) /(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(0,0,2,0,2)-(7690*x^10+70279*x^9+198170*x^8+106060*x ^7-240349*x^6+16342*x^5-85433*x^4+86915*x^3+10074*x^2-34338*x+2636)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(1,0,2,0,2)+(4030*x^10+36153*x^9+58020*x^8-41282*x^7+251985*x^ 6+240875*x^5-445165*x^4+194099*x^3-17421*x^2-20724*x-29314)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(2,0,2,0,2)-(7780*x^10+64729*x^9+275512*x^8+229633*x^7-639077*x^6+ 87394*x^5+238141*x^4-64739*x^3-99563*x^2+9212*x+20398)/(166*x^10+5587*x^9-7865* x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)* Tw(0,1,2,0,2)-(8950*x^10+81103*x^9+146216*x^8+23517*x^7-663122*x^6+20943*x^5+ 349682*x^4-62545*x^3-51552*x^2-10774*x+23468)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0 ,0,0,0,0)-(5138*x^10+32031*x^9+75795*x^8-167154*x^7-191521*x^6+106056*x^5+29572 *x^4+96154*x^3-80379*x^2-12802*x+2962)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,0,0,0)-( 3852*x^10+30960*x^9+135866*x^8-100277*x^7-601640*x^6+196395*x^5+177266*x^4-\ 78872*x^3+41404*x^2+46752*x+36788)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412 *x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,0,0,0)+(13810 *x^10+117936*x^9+341414*x^8+137210*x^7-415887*x^6+229134*x^5-112363*x^4-79217*x ^3+6309*x^2+16220*x+12582)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,0,0,0)-(8634*x^10+ 75693*x^9+305406*x^8+248879*x^7+70234*x^6+38090*x^5-150907*x^4+43730*x^3-99021* x^2-41294*x-14906)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+ 24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,0,0,0)-(6858*x^10+62456*x^9 +131807*x^8+112885*x^7+87725*x^6-308372*x^5+93475*x^4+136558*x^3-81822*x^2-\ 53708*x-1880)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x ^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,0,0,0)+(8168*x^10+68046*x^9+132030 *x^8-84593*x^7-337414*x^6-136905*x^5+335965*x^4+81765*x^3-99008*x^2-19950*x+ 34180)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(0,2,2,1,0)-(6788*x^10+69440*x^9+119617*x^ 8+113813*x^7+96756*x^6-202408*x^5-101748*x^4+111918*x^3+33086*x^2-57676*x-2112) /(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(1,2,2,1,0)+(14770*x^10+136450*x^9+363261*x^8+329063 *x^7-251026*x^6-105827*x^5+30564*x^4-63430*x^3-46813*x^2-9982*x+6318)/(166*x^10 +5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(2,2,2,1,0)-(3080*x^10+19011*x^9-14110*x^8-255993*x^7-20930*x^ 6+123259*x^5+21788*x^4+57744*x^3-30389*x^2-8526*x+1514)/(166*x^10+5587*x^9-7865 *x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164) *Tw(0,0,0,2,0)+(11000*x^10+98546*x^9+250145*x^8+285737*x^7-29285*x^6+153156*x^5 -182613*x^4-48660*x^3-21142*x^2+136*x-17132)/(166*x^10+5587*x^9-7865*x^8+180177 *x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,0,2 ,0)+(7136*x^10+58002*x^9+62659*x^8-95250*x^7+83601*x^6+242847*x^5-360043*x^4+ 187220*x^3+67062*x^2-18184*x-33988)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,0,2,0)-( 2724*x^10+35094*x^9+265271*x^8+387552*x^7-56431*x^6-123609*x^5-88538*x^4-6409*x ^3+44540*x^2-15694*x-16524)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,0,2,0)+(1160*x^10-\ 5274*x^9+64617*x^8-190005*x^7-253344*x^6+672170*x^5-286147*x^4+15103*x^3-43200* x^2+48066*x-30916)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+ 24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,0,2,0)+(1486*x^10+5876*x^9-\ 181407*x^8-293733*x^7-203007*x^6+271412*x^5+57986*x^4-110773*x^3+93244*x^2+ 59466*x+6920)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x ^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,0,2,0)-(6784*x^10+61188*x^9+225439 *x^8+31996*x^7-692149*x^6+401611*x^5+26688*x^4-4978*x^3-37131*x^2+14042*x+14798 )/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3 -32302*x^2-23352*x-25164)*Tw(0,2,0,2,0)+(1654*x^10+8936*x^9-2866*x^8-285888*x^7 -330069*x^6-55708*x^5+249201*x^4+24783*x^3+13409*x^2+24148*x+31938)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(1,2,0,2,0)-(1280*x^10+4783*x^9-31895*x^8-146581*x^7-25001*x^6 +499714*x^5-361943*x^4-38400*x^3+6821*x^2+43298*x-18334)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(2,2,0,2,0)+(1216*x^10-5170*x^9-115176*x^8-161995*x^7+240055*x^6+ 343265*x^5-379350*x^4+73596*x^3+41195*x^2+8742*x-33070)/(166*x^10+5587*x^9-7865 *x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164) *Tw(0,0,1,2,0)+(5688*x^10+50551*x^9+115785*x^8+170507*x^7-131304*x^6-69167*x^5+ 84087*x^4-12583*x^3-13162*x^2+11802*x-5084)/(166*x^10+5587*x^9-7865*x^8+180177* x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,1,2, 0)-(6812*x^10+62782*x^9+132297*x^8+201863*x^7+45886*x^6-234191*x^5+85495*x^4+ 45882*x^3-76512*x^2-3224*x-7028)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x ^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,1,2,0)+(3662*x^ 10+39543*x^9+36701*x^8+161185*x^7+283881*x^6-190860*x^5-160023*x^4+93517*x^3-\ 32796*x^2-34766*x-4108)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x ^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,1,2,0)-(7750*x^10+68500* x^9+5812*x^8-199140*x^7-88889*x^6+101571*x^5-121928*x^4+88769*x^3-2269*x^2+ 39752*x-17446)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336* x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,0,0,2)-(1412*x^10+8250*x^9+112389 *x^8+58348*x^7+99401*x^6+228539*x^5-248675*x^4+59861*x^3-2139*x^2-25876*x-37594 )/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3 -32302*x^2-23352*x-25164)*Tw(0,1,0,0,2)-(4954*x^10+28184*x^9+58321*x^8-99015*x^ 7-172970*x^6+202728*x^5+180995*x^4-193928*x^3-38481*x^2+70790*x+11994)/(166*x^ 10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^ 2-23352*x-25164)*Tw(1,1,0,0,2)+(5846*x^10+53582*x^9+182324*x^8+198563*x^7-\ 109559*x^6-265869*x^5+201468*x^4-257*x^3-83086*x^2+12074*x+9060)/(166*x^10+5587 *x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352 *x-25164)*Tw(2,1,0,0,2)-(1322*x^10+16010*x^9+47894*x^8+172430*x^7+232888*x^6+ 83807*x^5-296000*x^4+71290*x^3-11675*x^2+12466*x-47414)/(166*x^10+5587*x^9-7865 *x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164) *Tw(0,2,0,0,2)-(634*x^10+15842*x^9+123000*x^8+105398*x^7-138897*x^6-13386*x^5+ 18129*x^4+11965*x^3-32965*x^2-23392*x+586)/(166*x^10+5587*x^9-7865*x^8+180177*x ^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,2,0,0,2 )-(802*x^10+11500*x^9+54132*x^8+149870*x^7-195397*x^6-181870*x^5+376956*x^4-\ 124057*x^3-81912*x^2-422*x+26240)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412* x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,2,0,0,2)+(6622*x ^10+61114*x^9+274961*x^8+269808*x^7-395018*x^6-332217*x^5+409032*x^4-87084*x^3-\ 79374*x^2-35928*x+26784)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467* x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,1,0,2)-(3578*x^10+28330 *x^9-103313*x^8-260245*x^7-125528*x^6-263238*x^5+357825*x^4-34300*x^3-40539*x^2 +52034*x+38046)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336 *x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,1,0,2)-(11702*x^10+99650*x^9+ 214244*x^8-4308*x^7-104142*x^6+466887*x^5-263823*x^4-24549*x^3-77443*x^2+43844* x-33242)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,1,2,0)+(10608*x^10+89091*x^9+207727*x ^8+178419*x^7-427830*x^6-172249*x^5+461930*x^4-98485*x^3-126119*x^2-13268*x+ 27274)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,1,2,0)+(890*x^10+702*x^9-45585*x^8-\ 185919*x^7-5809*x^6+162911*x^5+18590*x^4-36164*x^3-54324*x^2+43500*x+6816)/(166 *x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302 *x^2-23352*x-25164)*Tw(0,2,1,2,0)+(90*x^10+6919*x^9+137496*x^8-54751*x^7-273183 *x^6+150408*x^5-34377*x^4-52181*x^3+7637*x^2+46024*x+11958)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(1,2,1,2,0)-(9772*x^10+96719*x^9+325963*x^8+284264*x^7-300382*x^6-\ 152502*x^5+255889*x^4-140567*x^3-10158*x^2+1034*x+28880)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(2,2,1,2,0)-(358*x^10+9507*x^9+92074*x^8+285490*x^7+395253*x^6-403856* x^5+30969*x^4-35212*x^3+44529*x^2-18430*x-2486)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0 ,0,2,2,0)+(3834*x^10+45881*x^9+237732*x^8+190932*x^7-405518*x^6+75776*x^5+64666 *x^4-119953*x^3-37362*x^2+28278*x+22084)/(166*x^10+5587*x^9-7865*x^8+180177*x^7 +33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,2,2,0)- (3388*x^10+32048*x^9-73912*x^8-22614*x^7+432618*x^6-207709*x^5-248001*x^4+ 222256*x^3+18450*x^2-34120*x-32108)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,2,2,0)+2 *(4483*x^10+40132*x^9+93542*x^8+28866*x^7-194193*x^6-63094*x^5+92750*x^4-21734* x^3+3504*x^2-1270*x+18178)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,2,2,0)-(1530*x^10+ 18704*x^9-88436*x^8-106747*x^7+156847*x^6-196702*x^5+10301*x^4+76230*x^3+17101* x^2-17982*x+20734)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+ 24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,2,2,0)-(2260*x^10+28727*x^9 +103711*x^8+52849*x^7-250053*x^6+33169*x^5+191302*x^4-80904*x^3-68269*x^2+11162 *x+2278)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,2,2,0)-(11728*x^10+108458*x^9+365257* x^8+495694*x^7+104017*x^6-133335*x^5-194986*x^4+88858*x^3-67111*x^2-53918*x-\ 28898)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(0,2,2,2,0)-(1290*x^10+5601*x^9-80721*x^8-\ 286041*x^7-111770*x^6+8573*x^5+208660*x^4-32287*x^3-41183*x^2+56076*x+9706)/( 166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(1,2,2,2,0)+(1608*x^10+21292*x^9+73521*x^8+86075*x^7 +135340*x^6+139320*x^5-171370*x^4+54828*x^3-93188*x^2-15364*x-21776)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(2,2,2,2,0)+(12088*x^10+119354*x^9+424267*x^8+422283*x^7-\ 433229*x^6-352742*x^5+286730*x^4-63995*x^3-41992*x^2+2578*x+15772)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(0,0,0,0,1)+(12738*x^10+100204*x^9+281349*x^8+135643*x^7-\ 297195*x^6+423317*x^5-238091*x^4+55727*x^3-70326*x^2+7718*x-35216)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(1,0,0,0,1)+(462*x^10+768*x^9+5898*x^8-107447*x^7-186184*x^6+ 51198*x^5+138638*x^4+14550*x^3+28973*x^2+21362*x+15414)/(166*x^10+5587*x^9-7865 *x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164) *Tw(2,0,0,0,1)+(5978*x^10+48886*x^9+161759*x^8-7*x^7-333069*x^6-13051*x^5+ 252861*x^4-91107*x^3-108480*x^2+15266*x+32220)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0 ,1,0,0,1)-(6654*x^10+52195*x^9+158590*x^8+20332*x^7-214248*x^6+148739*x^5+47389 *x^4+38125*x^3-18014*x^2-6390*x-6316)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,0,0,1)+( 3478*x^10+46721*x^9+139341*x^8+277977*x^7+233683*x^6-161561*x^5-88771*x^4+ 125457*x^3-38037*x^2-51388*x-29198)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,0,0,1)+ Tw(1,2,2,2,2), -(4084*x^10-10574*x^9-60133*x^8-244031*x^7+277515*x^6-343042*x^5 -143305*x^4+52590*x^3-76720*x^2+28818*x-22500)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0 ,1,1,0,2)-(20674*x^10-84477*x^9-110461*x^8-57650*x^7+438642*x^6-167586*x^5+ 112670*x^4-239378*x^3-46129*x^2+9713*x-37254)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1 ,1,1,0,2)-(11108*x^10-40170*x^9-40912*x^8+61947*x^7+458627*x^6-297976*x^5+22833 *x^4-29078*x^3+24964*x^2+22219*x+6822)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,1,0,2)+( 12238*x^10-58401*x^9-29398*x^8-9482*x^7+501837*x^6-712269*x^5+71529*x^4+237956* x^3+21910*x^2-17650*x-4172)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,2,1,0,2)-(9934*x^10-\ 17923*x^9-97280*x^8-61796*x^7+102248*x^6+213566*x^5-156988*x^4+24804*x^3+49449* x^2-85676*x-4368)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+ 24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,2,1,0,2)-(8422*x^10-42589*x^9 +4860*x^8+50721*x^7+145873*x^6-348568*x^5+285583*x^4-27994*x^3-127339*x^2-39663 *x-28652)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(2,2,1,0,2)+(6758*x^10+1149*x^9-73773*x^8-\ 227447*x^7+139785*x^6+629467*x^5-316966*x^4+34647*x^3+17763*x^2-44793*x+55576)/ (166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(0,0,2,0,2)-(9802*x^10-40301*x^9-59264*x^8-216152*x^ 7+309030*x^6-19472*x^5-77182*x^4-117888*x^3-17503*x^2+72476*x-6940)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(1,0,2,0,2)+(5036*x^10-23930*x^9-30966*x^8+93920*x^7+141964*x^ 6-237153*x^5+488899*x^4-142671*x^3-53518*x^2+19805*x-73234)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(2,0,2,0,2)-(10756*x^10-25402*x^9-30711*x^8-176500*x^7+567518*x^6-\ 172792*x^5-371994*x^4+101578*x^3+33348*x^2-32553*x+4)/(166*x^10+5587*x^9-7865*x ^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)* Tw(0,1,2,0,2)-(116*x^10+16942*x^9-119375*x^8-181732*x^7+300175*x^6+287969*x^5-\ 108883*x^4+88716*x^3+81213*x^2+97243*x+41652)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1 ,1,2,0,2)+(24260*x^10-93658*x^9-150809*x^8+21918*x^7+824632*x^6-290936*x^5-\ 422878*x^4+103728*x^3+34934*x^2+15285*x+17428)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2 ,1,2,0,2)-(1830*x^10-7145*x^9-18923*x^8-2396*x^7+12891*x^6+244381*x^5-173839*x^ 4+15478*x^3+15674*x^2+2467*x+27552)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,2,2,0,2)-( 3306*x^10-37015*x^9+18673*x^8+291952*x^7-40422*x^6-12811*x^5-74175*x^4+85033*x^ 3+106151*x^2-11390*x-5594)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,2,2,0,2)-(1254*x^10-\ 8527*x^9+54309*x^8+32878*x^7-162596*x^6-244435*x^5+396135*x^4-59445*x^3-116887* x^2-38760*x-37474)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+ 24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,2,2,0,2)+(2546*x^10-19311*x^9 +54788*x^8+170615*x^7-146190*x^6-256257*x^5+269360*x^4-39084*x^3-104022*x^2-\ 17943*x-28072)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336* x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,0,1,2)-(5376*x^10-13840*x^9-7715* x^8+108958*x^7-21733*x^6+167232*x^5+79480*x^4-68011*x^3-14669*x^2-21452*x-39872 )/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3 -32302*x^2-23352*x-25164)*Tw(1,0,0,1,2)-(6340*x^10-17968*x^9-76014*x^8-37801*x^ 7+140279*x^6+425530*x^5-69527*x^4-41556*x^3+120410*x^2+44871*x+49778)/(166*x^10 +5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(2,0,0,1,2)+(2152*x^10-9116*x^9-21493*x^8-47467*x^7+120402*x^6 +109267*x^5-180502*x^4+9708*x^3+24387*x^2-12912*x+554)/(166*x^10+5587*x^9-7865* x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)* Tw(0,1,0,1,2)+(17092*x^10-70056*x^9-82558*x^8+49167*x^7+524424*x^6-194857*x^5-\ 40262*x^4-47998*x^3-52037*x^2+107721*x-9592)/(166*x^10+5587*x^9-7865*x^8+180177 *x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,0,1 ,2)+(250*x^10+36029*x^9-104071*x^8-156022*x^7+275454*x^6+253171*x^5-621595*x^4+ 60151*x^3+52955*x^2+6680*x+15076)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412* x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,0,1,2)+(9802*x ^10-33607*x^9-96331*x^8-202980*x^7+286527*x^6+72128*x^5-206550*x^4-113889*x^3-\ 7638*x^2-25290*x+15652)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x ^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,2,0,1,2)-(15378*x^10-56229 *x^9-85670*x^8+35915*x^7+370145*x^6+7933*x^5-289868*x^4-6337*x^3+32663*x^2-\ 12244*x+1990)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x ^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,2,0,1,2)+(8546*x^10-22615*x^9-37778* x^8+68920*x^7+205684*x^6-42396*x^5+334748*x^4+51306*x^3-64295*x^2+40158*x-34822 )/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3 -32302*x^2-23352*x-25164)*Tw(2,2,0,1,2)+(88*x^10-4900*x^9+8281*x^8+142787*x^7-\ 22838*x^6+333959*x^5+195410*x^4-28414*x^3+182399*x^2+53536*x+11648)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(0,0,1,1,2)+(12988*x^10-30712*x^9-75500*x^8-76950*x^7+221143*x ^6+162893*x^5-290941*x^4-67508*x^3+59223*x^2-79362*x+18018)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(1,0,1,1,2)-(516*x^10-1194*x^9-31351*x^8+9559*x^7-215610*x^6+269541*x^ 5+126798*x^4-918*x^3-98089*x^2+16098*x+33102)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2 ,0,1,1,2)+(4374*x^10-18171*x^9+24446*x^8+95815*x^7+369071*x^6-506287*x^5+58128* x^4-81351*x^3+65157*x^2+42546*x-46444)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,1,1,2)-( 8328*x^10-36678*x^9-17645*x^8+41307*x^7+105735*x^6-252146*x^5+345547*x^4+53094* x^3-138046*x^2+20868*x-4974)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,1,1,2)-(1538*x^10-\ 12573*x^9+44045*x^8+79772*x^7+185020*x^6-213184*x^5+198820*x^4+164746*x^3-3273* x^2+75855*x+40706)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+ 24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,1,1,2)-(5700*x^10-26170*x^9 -32313*x^8+405*x^7-50904*x^6+298589*x^5+193020*x^4+110308*x^3-35371*x^2+22878*x +36258)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(0,2,1,1,2)-2*(3424*x^10-29467*x^9+8365*x^ 8+75358*x^7-7467*x^6+146185*x^5-183336*x^4+51661*x^3+57045*x^2-10824*x+19197)/( 166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(1,2,1,1,2)-(7954*x^10-33547*x^9-88521*x^8-58284*x^7 +331324*x^6-340288*x^5-138354*x^4+189086*x^3+33919*x^2-31229*x-2414)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(2,2,1,1,2)+(7108*x^10-21280*x^9-36852*x^8+4031*x^7+390501*x^6 -137386*x^5-600997*x^4+16360*x^3+125736*x^2-62507*x-10648)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(0,0,2,1,2)-(7942*x^10-22137*x^9-47605*x^8-169677*x^7+241387*x^6-32084 *x^5+123063*x^4+79682*x^3-96495*x^2+43482*x+15974)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1 ,0,2,1,2)-(11264*x^10-20234*x^9-124087*x^8-183774*x^7+103415*x^6+654400*x^5-\ 137018*x^4-9209*x^3-49645*x^2-21736*x+35738)/(166*x^10+5587*x^9-7865*x^8+180177 *x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,2,1 ,2)+(8284*x^10-59264*x^9+45336*x^8+51405*x^7+73800*x^6-478901*x^5+85778*x^4+ 59466*x^3+39977*x^2-65163*x+5328)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412* x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,2,1,2)-(11206* x^10-51489*x^9-73535*x^8-27274*x^7+355832*x^6-202339*x^5-568549*x^4+85573*x^3+ 23515*x^2+9178*x+7520)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^ 5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,0,0,0)-(7186*x^10-27807*x ^9+18167*x^8+188539*x^7+215513*x^6-326401*x^5-90608*x^4-74297*x^3+25881*x^2-\ 36807*x-50642)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336* x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,0,0,0)-(5440*x^10-11418*x^9-36717 *x^8-2450*x^7+588512*x^6-70285*x^5-180851*x^4+265143*x^3+85610*x^2+84212*x+ 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180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2 ,0,1,0,1)+(2278*x^10+8329*x^9-23782*x^8-102147*x^7-81211*x^6+99591*x^5+365700*x ^4-38929*x^3-153923*x^2-18622*x-25720)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,1,0,1)+( 7862*x^10-45759*x^9-43566*x^8+3886*x^7+25264*x^6+156212*x^5+276126*x^4-126164*x ^3-4101*x^2-23640*x-43310)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,1,0,1)-(1818*x^10-\ 11279*x^9+18625*x^8+29539*x^7+168159*x^6-592089*x^5-30990*x^4+41133*x^3-119305* x^2-24925*x-7808)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+ 24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,1,0,1)+(2140*x^10-10504*x^9 -74510*x^8+17774*x^7+115053*x^6-174281*x^5-201175*x^4+151068*x^3+71685*x^2-\ 10598*x+11396)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336* x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,2,1,0,1)+(8146*x^10-33167*x^9-85229 *x^8-4704*x^7-97614*x^6+471877*x^5+296289*x^4-110647*x^3-49795*x^2-17978*x-\ 17936)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(1,2,1,0,1)+(8990*x^10-53469*x^9-43580*x^8 +159117*x^7+181644*x^6-234996*x^5-284431*x^4-67869*x^3+51796*x^2-61762*x-8758)/ (166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(2,2,1,0,1)+(5002*x^10-7303*x^9-67066*x^8-108129*x^7 +174585*x^6+99052*x^5-29439*x^4-126138*x^3+10697*x^2-1147*x-2244)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(0,0,2,0,1)-(3480*x^10-20262*x^9+30942*x^8+240985*x^7+112746*x ^6-59615*x^5+157282*x^4+267792*x^3+1943*x^2+34797*x+2834)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(1,0,2,0,1)+(2676*x^10-11718*x^9+16056*x^8+108810*x^7-117429*x^6+ 288879*x^5+86533*x^4+32472*x^3-23673*x^2-34868*x+21312)/(166*x^10+5587*x^9-7865 *x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164) *Tw(2,0,2,0,1)-(1658*x^10-25959*x^9+24960*x^8+167123*x^7+210266*x^6-205118*x^5+ 266029*x^4-14809*x^3-5404*x^2+43808*x-28224)/(166*x^10+5587*x^9-7865*x^8+180177 *x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,2,0 ,1)+(3596*x^10-7616*x^9-43603*x^8-168215*x^7+284313*x^6-43077*x^5-104620*x^4+ 39885*x^3+39702*x^2+49777*x+33756)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412 *x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,2,0,1)-(12904 *x^10-27434*x^9-104798*x^8-248549*x^7+221416*x^6+222332*x^5-51807*x^4-140725*x^ 3-108991*x^2-41958*x+9052)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,2,0,1)+(11630*x^10 -23157*x^9-100052*x^8-205916*x^7+351331*x^6+84343*x^5-360535*x^4-15616*x^3-\ 30126*x^2-4234*x+2322)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^ 5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,2,2,0,1)+(594*x^10-8509*x^9 +32550*x^8+59894*x^7-89416*x^6+195605*x^5+207351*x^4-126323*x^3-108177*x^2+ 31267*x-18978)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336* x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,2,2,0,1)+(6586*x^10-15711*x^9-14606 *x^8-147926*x^7+276876*x^6-102175*x^5+434635*x^4-69161*x^3-10049*x^2+47315*x-\ 14110)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(2,2,2,0,1)+(9780*x^10-34338*x^9-72625*x^8 -189230*x^7+267400*x^6-364477*x^5+28537*x^4-43875*x^3-123282*x^2-46538*x-49668) /(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(0,0,0,1,1)+(6510*x^10-30575*x^9-35150*x^8-12513*x^7 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44569*x^3-29672*x^2+59704*x-4172)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412* x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,0,1,1)-(364*x^ 10+1366*x^9-22567*x^8-169994*x^7+171819*x^6-490663*x^5+359123*x^4-96948*x^3-\ 208225*x^2+35891*x-15532)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467 *x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,2,2,1)+(4374*x^10-4509 *x^9-118927*x^8-153087*x^7+13783*x^6+244404*x^5-512487*x^4-46864*x^3+18097*x^2-\ 24292*x+10422)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336* x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,2,2,1)+(1122*x^10-4481*x^9+15884* x^8-81766*x^7+286418*x^6-527105*x^5-136397*x^4+92223*x^3-3751*x^2-30757*x-31762 )/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3 -32302*x^2-23352*x-25164)*Tw(0,1,2,2,1)+(12246*x^10-60207*x^9-51061*x^8+148472* x^7+490246*x^6-230677*x^5-305323*x^4+299333*x^3+208535*x^2-13334*x+38664)/(166* x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302* x^2-23352*x-25164)*Tw(1,1,2,2,1)-(9076*x^10-15388*x^9-75388*x^8-136456*x^7+ 285249*x^6-121601*x^5-65171*x^4-49762*x^3-129931*x^2-11616*x-59078)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(2,1,2,2,1)+(1764*x^10+13918*x^9-39494*x^8-128701*x^7+215858*x ^6+146474*x^5-276597*x^4+152025*x^3-6531*x^2+60356*x+20572)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(0,2,2,2,1)+(7158*x^10-32983*x^9-490*x^8+77553*x^7+319399*x^6-227871*x ^5-355346*x^4+283727*x^3+50623*x^2-1670*x+38382)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1 ,2,2,2,1)+(4432*x^10-42570*x^9-36740*x^8+18523*x^7+55244*x^6-187293*x^5-534936* x^4+65200*x^3+76799*x^2-2695*x+8236)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,2,2,2,1)-( 1598*x^10+639*x^9+14046*x^8+52056*x^7+321050*x^6+50504*x^5+70388*x^4+278720*x^3 +119943*x^2+78930*x+40474)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,0,0,2)-(19674*x^10 -79329*x^9-145065*x^8-68946*x^7+479934*x^6+88732*x^5-126810*x^4-75736*x^3-25379 *x^2+75887*x+14104)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+ 24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,0,0,2)-(9110*x^10-62797*x^9 -47940*x^8+96907*x^7+168378*x^6-261519*x^5+97864*x^4-89046*x^3+8084*x^2-9809*x+ 8510)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414 *x^3-32302*x^2-23352*x-25164)*Tw(2,0,0,0,2)-(2484*x^10+4820*x^9-1733*x^8+23948* x^7+14396*x^6-215826*x^5+267856*x^4-72726*x^3-111148*x^2+15145*x-23464)/(166*x^ 10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^ 2-23352*x-25164)*Tw(0,1,0,0,2)-(6962*x^10-29011*x^9+44084*x^8+165661*x^7+114173 *x^6-143402*x^5+10229*x^4+292224*x^3+59833*x^2-61267*x+38454)/(166*x^10+5587*x^ 9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(1,1,0,0,2)+(7752*x^10-21114*x^9-43630*x^8-41618*x^7+218933*x^6+205679 *x^5-188809*x^4-37208*x^3+105795*x^2-73012*x+16566)/(166*x^10+5587*x^9-7865*x^8 +180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw( 2,1,0,0,2)-(1530*x^10-5743*x^9-12754*x^8-93660*x^7-19570*x^6-80917*x^5+348201*x ^4-129463*x^3-84753*x^2-34555*x+1798)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,2,0,0,2)-( 844*x^10+9302*x^9-76673*x^8-157312*x^7+88252*x^6-63720*x^5-143452*x^4-70206*x^3 -21350*x^2+3249*x-9008)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x ^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,2,0,0,2)-(3946*x^10-31829* 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7436*x^6+130646*x^5-401672*x^4+110450*x^3+104659*x^2-52662*x+23954)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(2,2,0,0,2)+(9072*x^10-16590*x^9-67406*x^8-164661*x^7+157283*x ^6+199499*x^5-601034*x^4-45633*x^3+35488*x^2-50448*x+16794)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(0,0,1,0,2)-(3764*x^10-45010*x^9+2679*x^8+69090*x^7+9019*x^6+106099*x^ 5-331523*x^4+36150*x^3+220969*x^2-43801*x+49710)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1 ,0,1,0,2)-(2270*x^10-3527*x^9+15834*x^8+14623*x^7-89808*x^6-115432*x^5+553433*x ^4+121369*x^3-100200*x^2-20266*x+5268)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,1,0,2)-( 14946*x^10-68865*x^9-60073*x^8-55844*x^7+261215*x^6-532997*x^5+323729*x^4+44240 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10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^ 2-23352*x-25164)*Tw(2,2,1,2,0)-(674*x^10+12901*x^9-25159*x^8+40481*x^7-198207*x ^6+652165*x^5+121048*x^4-18739*x^3+18471*x^2-14007*x+25504)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(0,0,2,2,0)+(5050*x^10-3173*x^9-107470*x^8-299040*x^7+341310*x^6-75132 *x^5-191342*x^4+83634*x^3-22677*x^2-19424*x+13894)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1 ,0,2,2,0)-(3410*x^10-39481*x^9-638*x^8+40408*x^7-185943*x^6+142979*x^5+252063*x ^4-304698*x^3+9064*x^2+14586*x-17402)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,2,2,0)+( 11442*x^10-47521*x^9-66927*x^8-51402*x^7+334371*x^6+143270*x^5-306708*x^4+50005 *x^3+38256*x^2+26520*x+6638)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,2,2,0)-(1112*x^10-\ 23446*x^9-27178*x^8+118765*x^7-70440*x^6+198771*x^5-16958*x^4-56950*x^3+69225*x ^2+18649*x-27362)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+ 24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,2,2,0)-(2708*x^10-6978*x^9-\ 76449*x^8-148705*x^7+74934*x^6-160462*x^5-262679*x^4+44083*x^3+40855*x^2-28617* x+29782)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,2,2,0)-(15454*x^10-43725*x^9-81101*x^ 8-109114*x^7+224644*x^6+187236*x^5+156438*x^4-181706*x^3-89069*x^2-44389*x-\ 45404)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(0,2,2,2,0)-(1390*x^10-21449*x^9+9803*x^8+ 128233*x^7+19810*x^6-163456*x^5-133385*x^4+68601*x^3+141962*x^2-39485*x+42664)/ (166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(1,2,2,2,0)+(1806*x^10-7411*x^9-47692*x^8-162654*x^7 -36825*x^6-258861*x^5+143329*x^4-115078*x^3-14490*x^2-41838*x-31640)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(2,2,2,2,0)+(15784*x^10-40574*x^9-150379*x^8-230842*x^7+474051 *x^6+375982*x^5-400358*x^4-17401*x^3+58545*x^2-24418*x+52564)/(166*x^10+5587*x^ 9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(0,0,0,0,1)+(17030*x^10-63807*x^9-10861*x^8-9960*x^7+497950*x^6-474299 *x^5+222749*x^4+481*x^3-94089*x^2-15900*x-31634)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1 ,0,0,0,1)+(880*x^10+1758*x^9+916*x^8+164671*x^7+310766*x^6+84073*x^5-12650*x^4+ 181826*x^3+134803*x^2+68933*x+26376)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,0,0,1)+( 7956*x^10-30018*x^9-30173*x^8-137918*x^7+191087*x^6-146124*x^5-339134*x^4+45553 *x^3+90525*x^2-62776*x+4086)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,0,0,1)-(9046*x^10-\ 29279*x^9-16564*x^8+85734*x^7+352352*x^6-81312*x^5+20342*x^4+93850*x^3+67909*x^ 2+52850*x+9488)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336 *x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,0,0,1)+(4032*x^10-9188*x^9-97662 *x^8-88443*x^7+18293*x^6+204398*x^5+110611*x^4-146378*x^3+36822*x^2+20517*x-\ 7040)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414 *x^3-32302*x^2-23352*x-25164)*Tw(2,1,0,0,1)-(9402*x^10-39903*x^9-13959*x^8+ 46515*x^7+257019*x^6+55314*x^5-343943*x^4+97478*x^3+185453*x^2-15442*x+55720)/( 166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(0,2,0,0,1)-(14174*x^10-61673*x^9-63581*x^8-83819*x^ 7+394977*x^6-266575*x^5+518004*x^4+559*x^3-181091*x^2+44895*x-30176)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(1,2,0,0,1)-(7902*x^10-26845*x^9-34699*x^8-47418*x^7+146590*x^ 6+203630*x^5+27392*x^4+31796*x^3-28769*x^2+75281*x+22718)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(0,2,1,0,0)-(4976*x^10-6472*x^9-41649*x^8-67732*x^7+220613*x^6-122552* x^5-311082*x^4-78855*x^3+40729*x^2-20574*x-25482)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1 ,2,1,0,0)+(8592*x^10-36934*x^9-71162*x^8-203827*x^7+2745*x^6+185924*x^5+156457* x^4-168958*x^3-41784*x^2-73989*x+1788)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,2,1,0,0)-( 7804*x^10+9542*x^9-96119*x^8-210833*x^7+131971*x^6+320826*x^5+101451*x^4-64434* x^3-50486*x^2-90156*x-3646)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,2,0,0)+(14110*x^10 -34901*x^9-97546*x^8-101669*x^7+232053*x^6+389194*x^5-87951*x^4-169004*x^3-\ 48587*x^2-32895*x-36474)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467* x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,2,0,0)-(10798*x^10-\ 29795*x^9-65645*x^8-90735*x^7+385573*x^6-88410*x^5+200277*x^4+46858*x^3-115887* x^2+5676*x-8332)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+ 24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,2,0,0)-(12788*x^10-65164*x^ 9+26144*x^8+121871*x^7+382412*x^6-183239*x^5-71008*x^4+37064*x^3-7527*x^2-6609* x+17144)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,2,0,0)+(2270*x^10+6847*x^9-28177*x^8+ 153595*x^7+444893*x^6-61694*x^5-177515*x^4+189978*x^3+193399*x^2+20412*x+30778) 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3-18497*x^2+4025*x-6426)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467* x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,2,1,1,0)+(1118*x^10+2545* x^9+54296*x^8+6609*x^7+277116*x^6-311631*x^5-209980*x^4+158626*x^3+129270*x^2-\ 55125*x+42674)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336* x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,2,1,0)+2*(864*x^10-13576*x^9+517* x^8+117786*x^7-50197*x^6+164783*x^5-236232*x^4+42996*x^3+121124*x^2-22638*x+ 15845)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,2,1,2)+(9386*x^10-53661*x^9-48121*x^8 -152262*x^7+221634*x^6-251381*x^5+66577*x^4-130423*x^3-46963*x^2+41098*x+30468) /(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(2,1,2,1,2)-(362*x^10-5073*x^9+34605*x^8-16210*x^7+ 199716*x^6-351077*x^5-164533*x^4+175707*x^3-8837*x^2+71550*x+6034)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(0,2,2,1,2)-(1850*x^10+4933*x^9-8974*x^8-45470*x^7+122559*x^6+ 253811*x^5-256029*x^4-121488*x^3+28172*x^2+6052*x-28090)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(1,2,2,1,2)-(12672*x^10-59520*x^9-57362*x^8-76299*x^7+476579*x^6-\ 394183*x^5+38288*x^4-141023*x^3-90108*x^2+36208*x-48826)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(2,2,2,1,2)+(3314*x^10-23277*x^9-7940*x^8+84823*x^7+155412*x^6+191131* x^5-185504*x^4+7782*x^3+12874*x^2+40315*x+3748)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0 ,0,0,2,2)-(6282*x^10-24941*x^9+29755*x^8+32616*x^7+204439*x^6-509378*x^5+770048 *x^4+143991*x^3-133544*x^2+50226*x-24996)/(166*x^10+5587*x^9-7865*x^8+180177*x^ 7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,0,2,2) +(740*x^10+7798*x^9-5470*x^8-102097*x^7-63951*x^6+17236*x^5+53841*x^4-168946*x^ 3-32784*x^2-45361*x-34946)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,0,2,2)+(9620*x^10-\ 23760*x^9-114847*x^8-35015*x^7+526760*x^6+184832*x^5-534481*x^4+118555*x^3+ 123653*x^2+43353*x+15030)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467 *x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,0,2,2)-(546*x^10+20129 *x^9-20432*x^8-17110*x^7-35483*x^6+636489*x^5-358951*x^4+47204*x^3+137248*x^2-\ 69594*x+51040)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336* x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,0,2,2)+(1776*x^10-496*x^9-46555*x ^8-6194*x^7+15331*x^6+116507*x^5-88021*x^4-24652*x^3+1907*x^2-16697*x-15980)/( 166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(2,1,0,2,2)-(16296*x^10-57160*x^9-149578*x^8-69371*x ^7+504058*x^6+313276*x^5-386525*x^4+73663*x^3+41661*x^2+42086*x+2412)/(166*x^10 +5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(0,2,0,2,2)-(7158*x^10-28677*x^9-16599*x^8+89200*x^7+144697*x^ 6-399651*x^5+52321*x^4-33126*x^3-80724*x^2-47689*x-51356)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(1,2,0,2,2)+(2676*x^10-24044*x^9+30768*x^8+132581*x^7-146951*x^6-\ 201855*x^5-5788*x^4-61661*x^3-46030*x^2-76058*x-58272)/(166*x^10+5587*x^9-7865* x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)* Tw(2,2,0,2,2)-(9284*x^10-38154*x^9-105565*x^8-88487*x^7+184805*x^6+315732*x^5-\ 443743*x^4+140406*x^3+95628*x^2-7556*x+41292)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0 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^8-131152*x^7+113004*x^6-473259*x^5+72959*x^4-11605*x^3-209187*x^2-4795*x-13960 )/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3 -32302*x^2-23352*x-25164)*Tw(2,1,1,2,2)+(15988*x^10-57502*x^9-56605*x^8+84002*x ^7+502541*x^6-68722*x^5-37362*x^4-51619*x^3-44851*x^2+17796*x+4504)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(0,2,1,2,2)-(1668*x^10+12148*x^9-70933*x^8-58890*x^7+50167*x^6 +244945*x^5+203233*x^4-86536*x^3+33811*x^2-29577*x-13216)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(1,2,1,2,2)+(3224*x^10-10954*x^9+11259*x^8-13060*x^7+92087*x^6-207534* x^5+327096*x^4-58031*x^3-6331*x^2+19864*x+4020)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2 ,2,1,2,2)+(7186*x^10-56277*x^9+87014*x^8+25464*x^7+104626*x^6-649593*x^5+558217 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x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302* x^2-23352*x-25164)*Tw(2,1,2,1,0)+(10586*x^10-44729*x^9-43298*x^8+134503*x^7+ 398093*x^6+3147*x^5-367122*x^4+27177*x^3+219189*x^2+7240*x-15050)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(0,2,2,1,0)-(8076*x^10-40650*x^9-84956*x^8-63395*x^7+15963*x^6 +230891*x^5-9372*x^4-181481*x^3-23254*x^2+57902*x-20310)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(1,2,2,1,0)+(18782*x^10-75307*x^9-113073*x^8-276699*x^7+276637*x^6+ 106657*x^5-165320*x^4-58109*x^3-36523*x^2-25735*x+11394)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(2,2,2,1,0)-(8596*x^10-35226*x^9-38492*x^8+11191*x^7+109509*x^6+170893 *x^5-61408*x^4-88103*x^3+66012*x^2-69442*x-1124)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2 ,0,1,2,0)+(4090*x^10-25773*x^9-35698*x^8-45749*x^7-98155*x^6+170517*x^5+119262* x^4-179833*x^3-25261*x^2-38022*x-49918)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,1,2,0)+x *(18068*x^9-69552*x^8-71996*x^7-190531*x^6+472855*x^5-140776*x^4+12903*x^3+ 74146*x^2-81906*x+28637)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467* x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,0,0,0)-(8652*x^10-37200 *x^9-46352*x^8+11071*x^7+27975*x^6+158701*x^5-163024*x^4-220471*x^3+84296*x^2-\ 31498*x-26324)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336* x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,0,0,0)-(14118*x^10-47271*x^9-\ 118641*x^8-106078*x^7+590796*x^6-268836*x^5-246538*x^4+83578*x^3-80063*x^2+ 61997*x+29588)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336* x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,2,0,0,0)-(4510*x^10-4509*x^9-47396* x^8-302668*x^7+55373*x^6-9293*x^5+396465*x^4-131076*x^3-101306*x^2-62564*x-\ 24976)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(1,2,0,0,0)+(8384*x^10+220*x^9-100706*x^8-\ 183185*x^7+266609*x^6+4939*x^5-81264*x^4-241673*x^3-126206*x^2-32344*x-67710)/( 166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(2,2,0,0,0)-(6518*x^10-31817*x^9+14380*x^8+143971*x^ 7+106029*x^6+20603*x^5-215142*x^4-74295*x^3+21239*x^2-20784*x-27286)/(166*x^10+ 5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(0,0,1,0,0)-(4104*x^10-34678*x^9+22794*x^8+92233*x^7+16942*x^6 -466738*x^5+218657*x^4-35827*x^3-62241*x^2-20520*x-25556)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(1,0,1,0,0)+(11734*x^10-43411*x^9-24873*x^8+41636*x^7+272772*x^6+ 265424*x^5-32586*x^4-54666*x^3+74129*x^2+8435*x+18992)/(166*x^10+5587*x^9-7865* x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)* Tw(2,0,1,0,0)+(9560*x^10-19112*x^9-74002*x^8-71759*x^7+167471*x^6+333201*x^5-\ 6334*x^4-12935*x^3-12322*x^2-62278*x-25976)/(166*x^10+5587*x^9-7865*x^8+180177* x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,1,0, 0)-(5184*x^10-28696*x^9+9429*x^8+86525*x^7+429966*x^6-612670*x^5+181667*x^4-\ 9353*x^3+49191*x^2+107633*x-18158)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412 *x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,1,0,0)-(2018* x^10-2365*x^9-32629*x^8+42152*x^7+126860*x^6-345748*x^5+367482*x^4+11464*x^3-\ 61953*x^2-26937*x-15812)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467* x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,1,1,0,0)-(4342*x^10-31253 *x^9+37068*x^8+67962*x^7-65585*x^6-264659*x^5+195587*x^4+14642*x^3+43746*x^2-\ 25722*x-26988)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336* x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,1,1,2,1)-2*(5028*x^10-18937*x^9-\ 16652*x^8+93621*x^7+142023*x^6+19153*x^5-207450*x^4+13040*x^3+73103*x^2-17168*x -3033)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(1,1,1,2,1)-(9980*x^10-46668*x^9+20156*x^8 +5145*x^7+377960*x^6-533621*x^5+42708*x^4+35082*x^3-170933*x^2+7001*x-23182)/( 166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(2,1,1,2,1)+(15434*x^10-51057*x^9-47298*x^8-22697*x^ 7+313776*x^6+171392*x^5+187469*x^4-84633*x^3-24464*x^2+32098*x+11456)/(166*x^10 +5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(0,2,1,2,1)+(5106*x^10-13149*x^9-53875*x^8-58040*x^7-142892*x^ 6+218595*x^5-171379*x^4-53721*x^3-74815*x^2-27940*x+29840)/(166*x^10+5587*x^9-\ 7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-\ 25164)*Tw(1,2,1,2,1)+(1984*x^10-2304*x^9-27459*x^8-154501*x^7+80273*x^6-343167* x^5+364854*x^4-97885*x^3-202434*x^2+857*x-21558)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2 ,2,1,2,1)-(14912*x^10-55302*x^9-160671*x^8-219600*x^7+284932*x^6+418767*x^5-\ 115629*x^4-124371*x^3+5290*x^2+43548*x+12728)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0 ,0,2,2,1)-(10286*x^10-12003*x^9-79483*x^8-125295*x^7+446725*x^6+167735*x^5-\ 275074*x^4+144207*x^3+106153*x^2-15327*x+46140)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0 ,2,0,1,1)-(6306*x^10-22941*x^9-1764*x^8-122376*x^7+296185*x^6-512028*x^5+181050 *x^4-76097*x^3-77860*x^2+31859*x-18690)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,2,0,1,1)+( 6194*x^10-4521*x^9-76662*x^8-83282*x^7+139278*x^6+398394*x^5+60042*x^4-100214*x ^3-43849*x^2+14222*x+8856)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,2,0,1,1)-(11688*x^10 -46038*x^9-77134*x^8-83223*x^7+98946*x^6-213409*x^5-5366*x^4-117858*x^3-187359* x^2-62615*x-8598)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+ 24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,1,1,1)-(7422*x^10-17615*x^9 -55943*x^8-83104*x^7+327367*x^6+281347*x^5-405641*x^4-77986*x^3+80344*x^2+15203 *x-23174)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,1,1,1)-(4862*x^10-21457*x^9-74812*x^8 -130055*x^7-58951*x^6-131303*x^5+233092*x^4-97849*x^3-209913*x^2+4062*x-1540)/( 166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(2,0,1,1,1)-(854*x^10+6441*x^9-83046*x^8-17418*x^7+ 3735*x^6+200654*x^5-66138*x^4-63843*x^3+25214*x^2+1645*x+19190)/(166*x^10+5587* x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352* x-25164)*Tw(0,1,1,1,1)-(9192*x^10-54628*x^9-17183*x^8+64279*x^7+91618*x^6-17839 *x^5+337272*x^4-82586*x^3-125565*x^2+1922*x-4176)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1 ,1,1,1,1)+(11854*x^10-34211*x^9-102266*x^8-78455*x^7+405233*x^6+218721*x^5-\ 173678*x^4+205939*x^3+68075*x^2+77938*x+48024)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2 ,1,1,1,1)+(708*x^10-10586*x^9+30349*x^8-134250*x^7+20937*x^6-327289*x^5+119725* x^4+52970*x^3+3763*x^2+6199*x+6942)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,2,1,1,1)-( 8428*x^10-32878*x^9-67369*x^8-103672*x^7+187094*x^6-101015*x^5-201593*x^4-\ 133875*x^3-59834*x^2-20472*x-19268)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,2,1,1,1)+( 2440*x^10-29800*x^9+60882*x^8+42238*x^7-50851*x^6-133096*x^5+190738*x^4-81275*x ^3-22107*x^2-72405*x-17080)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,2,1,1,1)+(32*x^10-\ 14288*x^9+81906*x^8-29838*x^7+39003*x^6-479328*x^5+513436*x^4-46593*x^3-182751* x^2+62163*x-27890)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+ 24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0,0,2,1,1)-(5636*x^10-18858*x^9 -70727*x^8+117505*x^7+246760*x^6-89310*x^5+11521*x^4+109685*x^3+102167*x^2-\ 41745*x-38680)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336* x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,0,2,1,1)-(4546*x^10-37155*x^9+11520 *x^8+123846*x^7+63364*x^6-217485*x^5+274945*x^4+80229*x^3+52309*x^2-4973*x-\ 20142)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+ 37414*x^3-32302*x^2-23352*x-25164)*Tw(2,0,2,1,1)-(6252*x^10-27354*x^9-59784*x^8 -97700*x^7+195997*x^6+111410*x^5-88618*x^4-130269*x^3-62437*x^2+37405*x+20492)/ (166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-\ 32302*x^2-23352*x-25164)*Tw(0,1,2,1,1)+(11986*x^10-55519*x^9-76647*x^8-28124*x^ 7+106918*x^6+189380*x^5-412482*x^4+13840*x^3+65755*x^2-22157*x+15460)/(166*x^10 +5587*x^9-7865*x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-\ 23352*x-25164)*Tw(1,1,2,1,1)-(1898*x^10-1065*x^9+146*x^8+9377*x^7-105218*x^6+ 256326*x^5+62701*x^4+18301*x^3+70766*x^2-42524*x+11642)/(166*x^10+5587*x^9-7865 *x^8+180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164) *Tw(2,1,2,1,1)-2*(6386*x^10-29035*x^9-40682*x^8-70112*x^7+114466*x^6+32972*x^5-\ 259767*x^4+44842*x^3+72682*x^2-24178*x+27339)/(166*x^10+5587*x^9-7865*x^8+ 180177*x^7+33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(0 ,2,2,1,1)+(1188*x^10-7490*x^9-174*x^8-70290*x^7-97691*x^6+235529*x^5-244291*x^4 -113174*x^3+77781*x^2-59558*x+11564)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+ 33412*x^6+4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(1,2,2,1,1)+( 7116*x^10-37782*x^9+42839*x^8+110100*x^7+281722*x^6-302164*x^5+28702*x^4+25450* x^3+105938*x^2-28849*x-40822)/(166*x^10+5587*x^9-7865*x^8+180177*x^7+33412*x^6+ 4467*x^5+24336*x^4+37414*x^3-32302*x^2-23352*x-25164)*Tw(2,2,2,1,1)+Tw(2,2,2,2, 2)] # Leading monomials: [Tw(1,1,2,2,2), Tw(2,1,2,2,2), Tw(0,2,2,2,2), Tw(1,2,2,2,2), Tw(2,2,2,2,2)] # Time by Buchberger, Time by F4, Speedup by F4: 7.87, 2.36, 3.34 # Example 40, all thread-like polynomials of degrees 2 and 1 with random coefficients in k[x]_(<= 2) # Input generating set: [(8*x^2+x+9)*Tw(0,0)+(4*x^2+8*x+5)*Tw(0)+(-2*x^2+4)*Tw(), (2*x^2-x+3)*Tw(0,1)+( 6*x^2-9*x-4)*Tw(1)+(3*x^2+4*x-3)*Tw(), (-3*x^2-7*x+4)*Tw(1,0)+(5*x^2+5*x+9)*Tw( 0)+(2*x^2+9*x-2)*Tw(), (-7*x^2+7*x+7)*Tw(1,1)+(-7*x^2-5*x-5)*Tw(1)-8*Tw(), (-2* x^2+5*x-8)*Tw(0)+(-x^2-x-3)*Tw(), (-6*x^2+2*x+3)*Tw(1)+(9*x^2+5)*Tw()] # Output Gröbner basis: [Tw()] # Leading monomials: [Tw()] # Time by Buchberger, Time by F4, Speedup by F4: 0.02, 0.01, 1.85 # Example 41, all thread-like polynomials of degrees 3 and 2 with random coefficients in k[x]_(<= 2) # Input generating set: [(7*x^2-7*x+7)*Tw(0,0,0)+(-3*x^2-8*x+2)*Tw(0,0)+(7*x^2-5*x-7)*Tw(0)+(5*x^2-6*x-\ 2)*Tw(), (4*x^2+4*x-1)*Tw(0,0,1)+(7*x^2-8*x-1)*Tw(0,1)+(-7*x^2-8*x-5)*Tw(1)+(-7 *x^2-x-5)*Tw(), (4*x^2+6*x+9)*Tw(0,1,0)+(-7*x^2-x+3)*Tw(1,0)+(-7*x^2-2*x-3)*Tw( 0)+(-x^2+7)*Tw(), (-5*x^2-9*x-9)*Tw(0,1,1)+(9*x^2-x-1)*Tw(1,1)+(x^2+4*x+3)*Tw(1 )+(2*x^2-x+8)*Tw(), (-5*x^2+7*x+8)*Tw(1,0,0)+(-x^2-5*x+2)*Tw(0,0)+(-2*x^2-8*x-9 )*Tw(0)+(2*x^2-x+4)*Tw(), (3*x^2+5*x+7)*Tw(1,0,1)+(-x^2+4*x+7)*Tw(0,1)+(5*x^2-5 *x+7)*Tw(1)+(-5-5*x)*Tw(), (-7*x^2-9*x-6)*Tw(1,1,0)+(4*x^2+8*x-8)*Tw(1,0)+(8*x^ 2-6*x+7)*Tw(0)+(8*x^2-5)*Tw(), (-9*x^2+3*x-8)*Tw(1,1,1)+(-2*x^2-8*x-5)*Tw(1,1)+ (-9*x^2-7*x-8)*Tw(1)+(-8*x^2+2*x+9)*Tw(), (-6*x^2-6*x-2)*Tw(0,0)+(2*x^2+x-3)*Tw (0)+(7*x^2+8*x+4)*Tw(), (8*x^2+8*x+9)*Tw(0,1)+(2*x^2-8*x+4)*Tw(1)+(-6*x+3)*Tw() , (3*x^2-5*x-9)*Tw(1,0)+(-5*x^2-4*x+4)*Tw(0)+(4*x^2+6*x-7)*Tw(), (-2*x^2+6*x-1) *Tw(1,1)+(-x^2+4*x+4)*Tw(1)+(-7*x^2+7*x+5)*Tw()] # Output Gröbner basis: [Tw()] # Leading monomials: [Tw()] # Time by Buchberger, Time by F4, Speedup by F4: 0.42, 0.30, 1.41 # Example 42, all thread-like polynomials of degrees 4 and 3 with random coefficients in k[x]_(<= 2) # Input generating set: [(-9*x^2-x+8)*Tw(0,0,0,0)+(-8*x^2+2*x-7)*Tw(0,0,0)+(7*x^2-6*x-9)*Tw(0,0)+(5*x^2 +3*x-6)*Tw(0)+(5*x^2-2*x+4)*Tw(), (-5*x^2-6*x+2)*Tw(0,0,0,1)+(x^2-3*x+6)*Tw(0,0 ,1)+(9*x^2-7*x-8)*Tw(0,1)+(2*x^2+2*x+9)*Tw(1)+(9*x^2-6*x-3)*Tw(), (7*x^2-3*x-5) *Tw(0,0,1,0)+(-6*x^2-5*x-5)*Tw(0,1,0)+(-8*x^2+2*x+1)*Tw(1,0)+(-3-8*x)*Tw(0)+(6* x^2-8*x+3)*Tw(), (7*x^2-7*x+1)*Tw(0,0,1,1)+(x^2-4*x+6)*Tw(0,1,1)+(4*x^2+4*x+2)* Tw(1,1)+(-8*x^2-x-5)*Tw(1)+(7*x^2+2*x+3)*Tw(), (-3*x^2-3*x+7)*Tw(0,1,0,0)+(-2*x ^2-7*x-2)*Tw(1,0,0)+(4*x^2+8)*Tw(0,0)+(-7*x^2+2*x-4)*Tw(0)+(-6*x^2+3*x-7)*Tw(), (5*x^2-9*x+4)*Tw(0,1,0,1)+(-6*x^2+4*x+9)*Tw(1,0,1)+(-9-3*x)*Tw(0,1)+(-5*x^2-4*x )*Tw(1)+(9*x^2+7*x-6)*Tw(), (-7*x^2+6*x-7)*Tw(0,1,1,0)+(-x^2-9*x-9)*Tw(1,1,0)+( -4*x^2+5*x+9)*Tw(1,0)+(-3*x^2-6*x-5)*Tw(0)+(-7*x^2+8*x+8)*Tw(), (-x^2-7*x-4)*Tw (0,1,1,1)+(-8*x^2-3*x-7)*Tw(1,1,1)+(4*x^2+5*x+6)*Tw(1,1)+(-9*x^2+5)*Tw(1)+7*x* Tw(), (-8*x^2+x-1)*Tw(1,0,0,0)+(7*x^2+x-6)*Tw(0,0,0)+(-4*x^2+2*x-8)*Tw(0,0)+(-2 *x^2-4*x+9)*Tw(0)+(6*x^2+3*x-5)*Tw(), (-9-9*x)*Tw(1,0,0,1)+(-3*x^2-3*x+5)*Tw(0, 0,1)+(4*x^2-2*x-6)*Tw(0,1)+(-2*x^2-9*x+1)*Tw(1)+(4*x^2+6*x-6)*Tw(), (-6*x^2-x-9 )*Tw(1,0,1,0)+(-8*x^2-x-2)*Tw(0,1,0)+(6*x^2+4*x-4)*Tw(1,0)+(-7*x^2-4*x-9)*Tw(0) +(2*x^2+5*x+9)*Tw(), (-9*x^2+7*x+9)*Tw(1,0,1,1)+(-5*x^2-x-5)*Tw(0,1,1)+(5-7*x)* Tw(1,1)+(8*x^2-5*x+9)*Tw(1)+(-8*x^2+6*x+3)*Tw(), (5*x^2+6*x+6)*Tw(1,1,0,0)+(-4* x^2-4)*Tw(1,0,0)+(-2*x^2+6)*Tw(0,0)+(2*x^2+7*x-3)*Tw(0)+(9*x^2-8*x+5)*Tw(), (-6 *x^2-8*x-9)*Tw(1,1,0,1)+(2*x^2+4*x+3)*Tw(1,0,1)+(-2*x^2+9*x-6)*Tw(0,1)+(5*x^2+4 *x-1)*Tw(1)+(-6*x^2-3*x+6)*Tw(), (-6*x^2+3*x-7)*Tw(1,1,1,0)+(-5*x^2-7*x)*Tw(1,1 ,0)+(-x^2+6*x+2)*Tw(1,0)+(-4*x^2+6*x+9)*Tw(0)+(4*x^2-5*x+7)*Tw(), (-7*x^2+6*x+3 )*Tw(1,1,1,1)+(-7*x^2-9*x-9)*Tw(1,1,1)+(4*x^2+6*x-7)*Tw(1,1)+(5*x^2-x-3)*Tw(1)+ (-8*x^2+x-5)*Tw(), (-2*x^2-4*x-6)*Tw(0,0,0)+(-6+3*x)*Tw(0,0)+(7*x^2+7*x+9)*Tw(0 )+(6*x^2-x+6)*Tw(), (-7+9*x)*Tw(0,0,1)+(4-9*x)*Tw(0,1)+(4*x^2+2*x+8)*Tw(1)+(-3* x^2-5*x-2)*Tw(), (3*x^2-6)*Tw(0,1,0)+(-8*x^2-x-1)*Tw(1,0)+(8*x^2-5*x+2)*Tw(0)+( 7*x^2-5*x+8)*Tw(), (-6-4*x)*Tw(0,1,1)+(4*x^2+7*x-6)*Tw(1,1)+(-9*x^2+7*x+3)*Tw(1 )+(9*x^2+9*x+3)*Tw(), (-3*x^2-4*x+3)*Tw(1,0,0)+(6*x^2-8*x+6)*Tw(0,0)+(-2*x^2+1) *Tw(0)+(2*x^2+2*x+3)*Tw(), (2*x^2+x-9)*Tw(1,0,1)+(7*x^2+3*x-4)*Tw(0,1)+(5*x^2+6 *x+8)*Tw(1)+(-4*x^2+9*x+1)*Tw(), (3*x^2-4*x+6)*Tw(1,1,0)+(6*x^2+6*x+3)*Tw(1,0)+ (-2*x^2-8*x+4)*Tw(0)+(-6*x^2+x-4)*Tw(), (3*x^2+5)*Tw(1,1,1)+(x^2-7*x-3)*Tw(1,1) +(-8*x^2+2*x+3)*Tw(1)+(-8*x^2-9*x+8)*Tw()] # Output Gröbner basis: [Tw()] # Leading monomials: [Tw()] # Time by Buchberger, Time by F4, Speedup by F4: 4.36, 4.66, 0.94 # Example 43, all thread-like polynomials of degrees 5 and 4 with random coefficients in k[x]_(<= 2) # Input generating set: [(-7*x^2+9*x-8)*Tw(0,0,0,0,0)+(2*x^2-2*x-1)*Tw(0,0,0,0)+(5*x^2-6*x-7)*Tw(0,0,0) +(1-9*x)*Tw(0,0)+(3*x^2+3*x+3)*Tw(0)+(-9*x^2+5*x-5)*Tw(), (8+9*x)*Tw(0,0,0,0,1) +(-3*x^2-3)*Tw(0,0,0,1)+(-x^2+5*x+8)*Tw(0,0,1)+(8*x^2+8*x+4)*Tw(0,1)+(3*x^2-7*x +2)*Tw(1)+(-5*x^2+7*x-3)*Tw(), (5*x^2+4*x-7)*Tw(0,0,0,1,0)+(-6*x^2+8*x-9)*Tw(0, 0,1,0)+(3*x^2+2)*Tw(0,1,0)+(4*x^2+2*x+7)*Tw(1,0)+(7*x^2-8*x-6)*Tw(0)+(-5*x^2-8* x)*Tw(), (-7*x^2-4*x-8)*Tw(0,0,0,1,1)+(x^2-6*x-1)*Tw(0,0,1,1)+(6*x^2-x-2)*Tw(0, 1,1)+(8*x^2+7*x+9)*Tw(1,1)+(-7*x^2-3*x-2)*Tw(1)+(x^2-4*x+3)*Tw(), (4*x^2-2*x-2) *Tw(0,0,1,0,0)+(-x^2+8*x)*Tw(0,1,0,0)+(3*x^2+5*x-8)*Tw(1,0,0)+(2*x^2-2*x+7)*Tw( 0,0)+(-7*x^2-3*x)*Tw(0)+(-4*x^2-4*x-1)*Tw(), (2*x^2+2)*Tw(0,0,1,0,1)+(4*x^2+x+4 )*Tw(0,1,0,1)+(4*x^2+7*x-5)*Tw(1,0,1)+(-x^2-9*x)*Tw(0,1)+(-2*x^2-x+1)*Tw(1)+(2* x^2-9*x+6)*Tw(), (-8*x^2+3*x-5)*Tw(0,0,1,1,0)+(-7*x^2+6*x+5)*Tw(0,1,1,0)+(4*x^2 -6*x+6)*Tw(1,1,0)+(2*x^2-9*x+3)*Tw(1,0)+(6*x^2+5*x-7)*Tw(0)+(-7*x^2-6*x-7)*Tw() , (8-7*x)*Tw(0,0,1,1,1)+(-7*x^2+8*x)*Tw(0,1,1,1)+(-4-x)*Tw(1,1,1)+(-2*x^2-5*x+4 )*Tw(1,1)+(7*x^2-2)*Tw(1)+(-9*x^2+6*x+7)*Tw(), (8*x^2+6*x+5)*Tw(0,1,0,0,0)+(5*x ^2-3*x-2)*Tw(1,0,0,0)+(7*x^2-8*x-6)*Tw(0,0,0)+(2*x^2-7*x+5)*Tw(0,0)+(5*x^2-6*x+ 6)*Tw(0)+(-9*x^2-3*x+1)*Tw(), (x^2+4*x+2)*Tw(0,1,0,0,1)+(5*x^2+9*x+5)*Tw(1,0,0, 1)+(-2*x^2-8*x-6)*Tw(0,0,1)+(3*x^2-4*x+9)*Tw(0,1)+(7*x^2-6*x+3)*Tw(1)+(-5*x^2+8 *x-3)*Tw(), (-x^2-6*x+4)*Tw(0,1,0,1,0)+(9*x^2+3*x)*Tw(1,0,1,0)+(4*x^2-7*x-5)*Tw (0,1,0)+(5*x^2-2*x)*Tw(1,0)+(-4*x^2+3)*Tw(0)+(3*x^2-x-4)*Tw(), (5*x^2-8*x+9)*Tw (0,1,0,1,1)+(8*x^2+x-7)*Tw(1,0,1,1)+(9*x^2-5*x+4)*Tw(0,1,1)+(-7*x^2+7*x+3)*Tw(1 ,1)+(-4*x^2-6*x-3)*Tw(1)+(2*x^2-7*x+1)*Tw(), (-3*x^2-8*x-3)*Tw(0,1,1,0,0)+(-3*x ^2+8*x-6)*Tw(1,1,0,0)+(-9*x^2+5*x+8)*Tw(1,0,0)+(7*x^2-2*x+4)*Tw(0,0)+(9*x^2-4*x )*Tw(0)+(-6*x^2-6*x+2)*Tw(), (6*x^2-9*x-4)*Tw(0,1,1,0,1)+(-3*x^2-x-4)*Tw(1,1,0, 1)+(-6*x^2+3*x-6)*Tw(1,0,1)+(2*x^2-5*x+3)*Tw(0,1)+(-5*x^2-7*x+1)*Tw(1)+(-6*x^2+ 3*x+1)*Tw(), (-2*x^2-8*x-4)*Tw(0,1,1,1,0)+(2*x^2-9*x-4)*Tw(1,1,1,0)+(2*x^2+9*x+ 6)*Tw(1,1,0)+(-3*x^2+6*x+7)*Tw(1,0)+(-x^2-8*x-6)*Tw(0)+(8-6*x)*Tw(), (9*x^2-4)* Tw(0,1,1,1,1)+(5*x^2-4*x+4)*Tw(1,1,1,1)+(x^2-2*x-5)*Tw(1,1,1)+(6*x^2+4*x+4)*Tw( 1,1)+(2*x^2-8*x+2)*Tw(1)+(-8*x^2+2*x-1)*Tw(), (-5*x^2+2*x+6)*Tw(1,0,0,0,0)+(-x^ 2-6*x+4)*Tw(0,0,0,0)+(-8*x^2+9)*Tw(0,0,0)+(-2*x^2-8)*Tw(0,0)+(6*x^2+3*x+2)*Tw(0 )+(-3*x^2-9*x+9)*Tw(), (6*x^2-x+4)*Tw(1,0,0,0,1)+(3*x^2-5*x-1)*Tw(0,0,0,1)+(-4* x^2-2*x+4)*Tw(0,0,1)+(-2*x^2+x)*Tw(0,1)+(7*x^2+2*x+9)*Tw(1)+(-6*x^2+3*x-1)*Tw() , (3*x^2-5*x-2)*Tw(1,0,0,1,0)+(-4*x^2+4*x+8)*Tw(0,0,1,0)+(-2*x^2+2*x+3)*Tw(0,1, 0)+(5*x^2-2*x+4)*Tw(1,0)+(-5*x^2-8*x+4)*Tw(0)+(-x^2+9*x-1)*Tw(), (7*x^2-3*x-2)* Tw(1,0,0,1,1)+(-7*x^2+6*x+4)*Tw(0,0,1,1)+(-6*x^2+7*x+2)*Tw(0,1,1)+(-8*x^2-6*x-2 )*Tw(1,1)+(7*x^2-5*x-9)*Tw(1)+(5*x^2+5*x-1)*Tw(), (-x^2+9*x+5)*Tw(1,0,1,0,0)+(x ^2-5*x-4)*Tw(0,1,0,0)+(-6*x^2-2*x-9)*Tw(1,0,0)+(-7*x^2-6*x+9)*Tw(0,0)+(-6*x^2+7 *x+6)*Tw(0)+(3*x^2+7*x+3)*Tw(), (2*x^2+6*x+2)*Tw(1,0,1,0,1)+(8*x^2+x+4)*Tw(0,1, 0,1)+(-4*x^2+3*x+2)*Tw(1,0,1)+(7*x^2+6)*Tw(0,1)+(9*x^2+8*x+5)*Tw(1)+(-8*x^2-7*x -3)*Tw(), (7*x^2-5*x-8)*Tw(1,0,1,1,0)+(8*x^2-3*x-7)*Tw(0,1,1,0)+(9*x^2-9*x-5)* Tw(1,1,0)+(-2*x^2-8*x-2)*Tw(1,0)+(2*x^2+5*x-5)*Tw(0)+(x^2+9*x+3)*Tw(), (5*x^2-3 *x+6)*Tw(1,0,1,1,1)+(9*x^2+4*x-2)*Tw(0,1,1,1)+(7*x^2+2*x+8)*Tw(1,1,1)+(-2*x^2+2 *x+7)*Tw(1,1)+(x^2+9*x+2)*Tw(1)+(-6*x^2+5*x-1)*Tw(), (5*x^2-9*x-3)*Tw(1,1,0,0,0 )+(9*x^2+3*x-1)*Tw(1,0,0,0)+(-9*x^2-5*x+9)*Tw(0,0,0)+(2*x^2+7*x-1)*Tw(0,0)+(-7* x^2+5*x-7)*Tw(0)+(-x^2+8*x+1)*Tw(), (8*x^2-x+6)*Tw(1,1,0,0,1)+(7*x^2+4)*Tw(1,0, 0,1)+(x^2+2*x-7)*Tw(0,0,1)+(-x^2+9*x-1)*Tw(0,1)+(5*x^2+3*x-4)*Tw(1)+(5*x^2-6*x) *Tw(), (-9*x^2+6*x-7)*Tw(1,1,0,1,0)+(-2*x^2+x)*Tw(1,0,1,0)+(2*x^2-7*x-1)*Tw(0,1 ,0)+(-x^2-9*x-6)*Tw(1,0)+6*Tw(0)+(2*x^2+4*x+4)*Tw(), (5*x^2+8*x)*Tw(1,1,0,1,1)+ (-9*x^2-5*x+5)*Tw(1,0,1,1)+(3*x^2+4*x-9)*Tw(0,1,1)+(5*x^2-3*x-1)*Tw(1,1)+(-7*x^ 2+7*x-1)*Tw(1)+(4-7*x)*Tw(), (-2*x^2+6*x-1)*Tw(1,1,1,0,0)+(9*x^2-3*x-8)*Tw(1,1, 0,0)+(5*x^2+8*x-8)*Tw(1,0,0)+(4*x^2-3*x+6)*Tw(0,0)+(-8*x^2+6*x+1)*Tw(0)+(-2*x^2 -3*x-2)*Tw(), (6*x^2+6*x-4)*Tw(1,1,1,0,1)+(-3*x^2+2*x-6)*Tw(1,1,0,1)+(-x^2+4*x+ 8)*Tw(1,0,1)+(9*x^2+2*x-3)*Tw(0,1)+(9*x^2+6*x)*Tw(1)+(x^2+5*x-1)*Tw(), (7*x^2+5 *x+2)*Tw(1,1,1,1,0)+(-x^2-6)*Tw(1,1,1,0)+(5*x^2+2*x+2)*Tw(1,1,0)+(-x^2-4*x+1)* Tw(1,0)+(x^2+2*x+1)*Tw(0)+(4*x^2-8*x-4)*Tw(), (-8*x^2+2*x+9)*Tw(1,1,1,1,1)+(3*x ^2+7*x-6)*Tw(1,1,1,1)+(-2*x^2-3*x-8)*Tw(1,1,1)+(-4*x^2+2*x+2)*Tw(1,1)+(-x^2+2*x -2)*Tw(1)+(4*x^2+5*x+1)*Tw(), (-7*x^2+8)*Tw(0,0,0,0)+(-2*x^2+5*x-1)*Tw(0,0,0)+( 8*x^2+x+7)*Tw(0,0)+(-2*x^2-8*x-4)*Tw(0)+(-9*x^2+7*x-5)*Tw(), (-2*x^2+x)*Tw(0,0, 0,1)+(8*x^2-4*x-4)*Tw(0,0,1)+(-9*x^2-6*x-3)*Tw(0,1)+(8*x^2-9*x+8)*Tw(1)+(5*x^2+ 8*x-4)*Tw(), (6*x^2+x-8)*Tw(0,0,1,0)+(9*x^2-3*x-8)*Tw(0,1,0)+(3*x^2-7*x-2)*Tw(1 ,0)+(-2*x^2-x+4)*Tw(0)+(-9*x^2+2*x+1)*Tw(), (6*x^2+7*x-1)*Tw(0,0,1,1)+(8*x^2-9* x-9)*Tw(0,1,1)+(6*x^2-6*x+9)*Tw(1,1)+(-9+7*x)*Tw(1)+(7*x^2-9*x+1)*Tw(), (-5-3*x )*Tw(0,1,0,0)+(-3*x^2-x)*Tw(1,0,0)+(-4*x^2-8)*Tw(0,0)+(x^2+5*x+2)*Tw(0)+(-2*x^2 +6*x+2)*Tw(), (3*x^2-5*x-2)*Tw(0,1,0,1)+(-8*x^2+3*x+6)*Tw(1,0,1)+(-3*x^2+8*x+7) *Tw(0,1)+(-8*x^2+8*x+3)*Tw(1)+(-2*x^2-x-5)*Tw(), (7*x^2-3*x-5)*Tw(0,1,1,0)+(6*x ^2+6*x-2)*Tw(1,1,0)+(-8*x^2+5*x+5)*Tw(1,0)+(-4*x^2-2*x+4)*Tw(0)+(8*x^2-6*x+2)* Tw(), (-7*x^2+x+2)*Tw(0,1,1,1)+(x^2-4*x-8)*Tw(1,1,1)+(-9*x^2-x+9)*Tw(1,1)+(-4*x ^2+2*x+4)*Tw(1)+(x^2-8)*Tw(), (8*x^2+6*x+7)*Tw(1,0,0,0)+(9*x^2-3*x+8)*Tw(0,0,0) +(x^2-7*x-2)*Tw(0,0)+(-9*x^2-1)*Tw(0)+(8*x^2+9*x-6)*Tw(), (-3*x^2+8*x-2)*Tw(1,0 ,0,1)+(-3*x^2-7)*Tw(0,0,1)+(1-6*x)*Tw(0,1)+(-8*x^2+9*x-3)*Tw(1)+(6*x^2-x+7)*Tw( ), (-6*x^2+x+5)*Tw(1,0,1,0)+(5*x^2+6*x+5)*Tw(0,1,0)+(-5*x^2+x+9)*Tw(1,0)+(8*x^2 -6)*Tw(0)+(-7*x^2-2)*Tw(), (-8*x^2+5*x+1)*Tw(1,0,1,1)+(6*x^2-9*x+2)*Tw(0,1,1)+( 4*x^2-6*x+3)*Tw(1,1)+(-4*x^2-9*x+3)*Tw(1)+(-2*x^2+9*x+8)*Tw(), (4*x^2-6*x-5)*Tw (1,1,0,0)+(-4*x^2-8*x-1)*Tw(1,0,0)+(3*x^2+x-3)*Tw(0,0)+(8*x^2+x+8)*Tw(0)+(7-9*x )*Tw(), (-5*x^2-9*x-7)*Tw(1,1,0,1)+(-7*x^2-5*x)*Tw(1,0,1)+(x^2+4*x-3)*Tw(0,1)+( 8*x^2+8*x+1)*Tw(1)+(-9*x^2+2*x+4)*Tw(), (-3*x^2-2*x+8)*Tw(1,1,1,0)+(-9*x^2-5*x+ 8)*Tw(1,1,0)+(-2*x^2+1)*Tw(1,0)+(4*x^2+4*x-3)*Tw(0)+(7*x^2+5*x+1)*Tw(), (5*x^2-\ 6*x-7)*Tw(1,1,1,1)+(-6*x^2+4*x-1)*Tw(1,1,1)+(x^2+3*x-4)*Tw(1,1)+(4+9*x)*Tw(1)+( 9*x^2-9*x+6)*Tw()] # Output Gröbner basis: [Tw()] # Leading monomials: [Tw()] # Time by Buchberger, Time by F4, Speedup by F4: 62.57, 69.60, 0.90 #-->quit