j4n bur53 schrieb:   
   >   
   > I am unable to run derive 6.10 on my windows 10 machine.   
   > On the other hand I could run maxima, which has a groebner   
   > basis library, and I get:   
   >   
   > (%i27)   
   > poly_buchberger([(5+(5+a^2)*b-a*b^2)*t,(5*a^2*b-(a+4*a^2)*b^2)   
   (t-1)],[t,a,b]);   
   > Evaluation took 0.3281 seconds (0.3281 elapsed) using 4.431 MB.   
   > (%o27) [(-a*b^2*t)+a^2*b*t+5*b*t+5*t,   
   >          (-4*a^2*b^2*t)-a*b^2*t+5*a^2*b*t+4*a^2*b^2+a*b^2   
   >                        -5*a^2*b,   
   >          4*a*b^3*t-4*a*b^2*t-20*b^2*t+5*b*t+25*t-4*a^2*b^2   
   >                   -a*b^2+5*a^2*b,   
   >          20*a*b^2*t+5*b^2*t-5*a*b*t+5*b*t-25*a*t-4*a^2*b^3   
   >                    -a*b^3+4*a^3*b^2+6*a^2*b^2-5*a^3*b,   
   >          (-5*b^2*t)+10*a*b*t-105*b*t-25*a^2*t+25*a*t-100*t   
   >                    -4*a^3*b^3+3*a^2*b^3+a*b^3+4*a^4*b^2   
   >                    +2*a^3*b^2+14*a^2*b^2+5*a*b^2-5*a^4*b   
   >                    +5*a^3*b-25*a^2*b,   
   >          (-20*b^3*t)-405*b^2*t+85*a*b*t+115*b*t-75*a*t+500*t   
   >                     +16*a^2*b^4+4*a*b^4-16*a^3*b^3   
   >                     -36*a^2*b^3-3*a*b^3+32*a^3*b^2   
   >                     -62*a^2*b^2-20*a*b^2-15*a^3*b+100*a^2*b,   
   >          4*a^3*b^4+a^2*b^4-4*a^4*b^3-6*a^3*b^3-20*a^2*b^3   
   >                   -5*a*b^3+5*a^4*b^2+5*a^2*b^2-5*a*b^2   
   >                   +25*a^2*b,   
   >          340*b^4*t+7100*b^3*t+2760*b^2*t-9375*b*t-1000*a*t   
   >                   -5375*t-272*a^2*b^5-68*a*b^5+272*a^3*b^4   
   >                   +440*a^2*b^4+8*a*b^4-372*a^3*b^3   
   >                   +1152*a^2*b^3+300*a*b^3+200*a^3*b^2   
   >                   -600*a^2*b^2+215*a*b^2-200*a^3*b   
   >                   -1075*a^2*b,   
   >          20*b^5*t+400*b^4*t-220*b^3*t-975*b^2*t+250*b*t   
   >                  +625*t-16*a^2*b^6-4*a*b^6+16*a^3*b^5   
   >                  +40*a^2*b^5+4*a*b^5-36*a^3*b^4+56*a^2*b^4   
   >                  +20*a*b^4+20*a^3*b^3-120*a^2*b^3-5*a*b^3   
   >                  -75*a^2*b^2-25*a*b^2+125*a^2*b]   
   >   
   > The lcm is the polynomial 4*a^3*b^4 + .... Probably indeed   
   > a nasty example, 0.3281 secs isn´t that fast. Nevertheless   
   > I need to check what heuristic I am missing.   
   >   
   > I also get spoaradic memory overflows for this example,   
   > its a little monster that bugs me.   
   >   
      
   For this input, Maxima is almost two orders of magnitude slower than   
   Derive 6.10 - perhaps the implementation is inefficient, or just missing   
   some algorithmic tricks. The Groebner basis may also be run on the   
   FriCAS web interface for comparison (but I don't know name and usage of   
   the appropriate procedure).   
      
   And both FriCAS and Maxima must have a much faster equivalent of   
   Derive's POLY_GCD as well.   
      
   Martin.   
      
   --- SoupGate-Win32 v1.05   
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