Le 04/01/2017 à 16:47, Eric Gourgoulhon a écrit : > Hi, > > In Sage 7.5.rc1: >
same for me in7.5.rc1; works in 7.4.
t.
> |
> sage:var('x y')
> (x,y)
> sage:z =(x^18+60*x^17+331776*(x^2-1)*y^16+1599*x^16+25880*x^15+110
> ....:592*(x^4+15*x^3+99*x^2+485*x +1200)*y^14+266700*x^14+1555560*x^
> ....:13-9216*(17*x^6+60*x^5-417*x^4-3040*x^3-13425*x^2-31020*x -16
> ....:975)*y^12+3533300*x^12-4005000*x^11+9216*(9*x^8-60*x^7-509*x^6-
> ....:2430*x^5-9525*x^4-24260*x^3-71775*x^2-227250*x -290600)*y^10-1
> ....:7787450*x^10-18420000*x^9+5760*(7*x^10+90*x^9+473*x^8+2460*x^7+
> ....:10050*x^6+15200*x^5+53790*x^4+120900*x^3+198455*x^2+741350*x +
> ....:1103625)*y^8+15656250*x^8+31485000*x^7-192*(143*x^12+675*x^11-10
> ....:43*x^10-7575*x^9-52650*x^8-224850*x^7-156150*x^6+1001250*x^5+3
> ....:726075*x^4+6217375*x^3+4145625*x^2+19413125*x +33330000)*y^6+3527
> ....:500*x^6+12975000*x^5+96*(93*x^14-105*x^13-1693*x^12-13470*x^11-
> ....:99575*x^10-222675*x^9-149025*x^8-1024500*x^7-2270025*x^6+236662
> ....:5*x^5+9545625*x^4+11931250*x^3+451875*x^2+11346875*x +28273125)*y
> ....:^4+80032500*x^4+102025000*x^3+192*(x^16+30*x^15+399*x^14+3955*
> ....:x^13+19950*x^12+3765*x^11+19850*x^10+197000*x^9+47025*x^8+7700
> ....:0*x^7+646875*x^6-598125*x^5-2642500*x^4-2896875*x^3+1117500*x^2
> ....:+1581250*x -687500)*y^2-78609375*x^2-180937500*x -150390625)/(x^14
> ....:+(x^2-1)*y^12-x^12-6*(x^4-x^2)*y^10+15*(x^6-x^4)*y^8-20*(x^
> ....:8-x^6)*y^6+15*(x^10-x^8)*y^4-6*(x^12-x^10)*y^2)
> sage:z.numerator()
> x^18+192*x^16*y^2+8928*x^14*y^4-27456*x^12*y^6+40320*x^10*y^8+82944*x^8*y^10-156672*x^6*y^12+110592*x^4*y^14+331776*x^2*y^16+60*x^17+5760*x^15*y^2-10080*x^13*y^4-129600*x^11*y^6+518400*x^9*y^8-552960*x^7*y^10-552960*x^5*y^12+1658880*x^3*y^14+1599*x^16+76608*x^14*y^2-162528*x^12*y^4+200256*x^10*y^6+2724480*x^8*y^8-4690944*x^6*y^10+3843072*x^4*y^12+10948608*x^2*y^14-331776*y^16+25880*x^15+759360*x^13*y^2-1293120*x^11*y^4+1454400*x^9*y^6+14169600*x^7*y^8-22394880*x^5*y^10+28016640*x^3*y^12+53637120*x*y^14+266700*x^14+3830400*x^12*y^2-9559200*x^10*y^4+10108800*x^8*y^6+57888000*x^6*y^8-87782400*x^4*y^10+123724800*x^2*y^12+132710400*y^14+1555560*x^13+722880*x^11*y^2-21376800*x^9*y^4+43171200*x^7*y^6+87552000*x^5*y^8-223580160*x^3*y^10+285880320*x*y^12+3533300*x^12+3811200*x^10*y^2-14306400*x^8*y^4+29980800*x^6*y^6+309830400*x^4*y^8-661478400*x^2*y^10+156441600*y^12-4005000*x^11+37824000*x^9*y^2-98352000*x^7*y^4-192240000*x^5*y^6+696384000*x^3*y^8-2094336000*x*y^10-17787450*x^10+9028800*x^8*y^2-217922400*x^6*y^4-715406400*x^4*y^6+1143100800*x^2*y^8-49260256*y^10-18420000*x^9+14784000*x^7*y^2+227196000*x^5*y^4-1193736000*x^3*y^6+45421568*x*y^8+15656250*x^8+124200000*x^6*y^2+916380000*x^4*y^4-795960000*x^2*y^6+1658880*y^8+31485000*x^7-114840000*x^5*y^2+1145400000*x^3*y^4-53134896*x*y^6+3527500*x^6-507360000*x^4*y^2+43380000*x^2*y^4-59506352*y^6+12975000*x^5-556200000*x^3*y^2+1089300000*x*y^4+80032500*x^4+214560000*x^2*y^2+63224816*y^4+102025000*x^3+303600000*x*y^2-78609375*x^2-132000000*y^2-180937500*x
> -150390625
> sage:z.denominator()
> ------------------------------------------------------------------------
>
> |
> Sage hangs then for ever, without any noticeable CPU activity...
> (Note that the numerator returned by Sage is correct.)
>
> Is this a known issue ?
>
> Eric.
>
> PS: I am attaching the fraction in a file for the ease of cut and paste
> in a Sage session.
>
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<<attachment: tdumont.vcf>>
