BTW, I tried taking the GCD of the two polynomials below in Pari and it just runs out of memory and takes ages. So it doesn't look like it does much that is useful for multivariates.
On the other hand, their univariate factoring is quite good (better than mine in some cases, at present). f = z^40*y^6*x^2100 + 2*t^15*z^53*y^9*x^2078 + z^40*y^7*x^2003 + z^40*y^6*x^2000 - 14*z^31*y^6*x^1102 - 2*t*z^20*y^3*x^1101 + 78*z^20*y^3*x^1100 - 28*t^15*z^44*y^9*x^1080 - 4*t^16*z^33*y^6*x^1079 + 156*t^15*z^33*y^6*x^1078 - 14*z^31*y^7*x^1005 - 2*t*z^20*y^4*x^1004 + 78*z^20*y^4*x^1003 - 14*z^31*y^6*x^1002 - 2*t*z^20*y^3*x^1001 + 78*z^20*y^3*x^1000 + 49*z^22*y^6*x^104 + 14*t*z^11*y^3*x^103 + (-546*z^11*y^3 + t^2)*x^102 - 78*t*x^101 + 1521*x^100 + 98*t^15*z^35*y^9*x^82 + 28*t^16*z^24*y^6*x^81 + (-1092*t^15*z^24*y^6 + 2*t^17*z^13*y^3)*x^80 - 156*t^16*z^13*y^3*x^79 + 3042*t^15*z^13*y^3*x^78 + 49*z^22*y^7*x^7 + 14*t*z^11*y^4*x^6 + (-546*z^11*y^4 + t^2*y)*x^5 + (49*z^22*y^6 - 78*t*y)*x^4 + (14*t*z^11*y^3 + 1521*y)*x^3 + (-546*z^11*y^3 + t^2)*x^2 - 78*t*x + 1521 g = 4*x^1156*y^9*z^46*t^30 + 4*x^1178*y^6*z^33*t^15 + x^1200*y^3*z^20 + 4*x^1081*y^7*z^33*t^15 + 4*x^1078*y^6*z^33*t^15 + 2*x^1103*y^4*z^20 + 2*x^1100*y^3*z^20 + x^1006*y^5*z^20 + 2*x^1003*y^4*z^20 + x^1000*y^3*z^20 - 28*x^158*y^9*z^37*t^30 - 28*x^180*y^6*z^24*t^15 - 4*x^157*y^6*z^26*t^31 + 156*x^156*y^6*z^26*t^30 - 7*x^202*y^3*z^11 - 4*x^179*y^3*z^13*t^16 + 156*x^178*y^3*z^13*t^15 - x^201*t + 39*x^200 - 28*x^83*y^7*z^24*t^15 - 28*x^80*y^6*z^24*t^15 - 14*x^105*y^4*z^11 - 14*x^102*y^3*z^11 - 4*x^82*y^4*z^13*t^16 + 156*x^81*y^4*z^13*t^15 - 4*x^79*y^3*z^13*t^16 + 156*x^78*y^3*z^13*t^15 - 2*x^104*y*t + 78*x^103*y - 2*x^101*t + 78*x^100 - 7*x^8*y^5*z^11 - 14*x^5*y^4*z^11 - 7*x^2*y^3*z^11 - x^7*y^2*t + 39*x^6*y^2 - 2*x^4*y*t + 78*x^3*y - x*t + 39 Bill. -- You received this message because you are subscribed to the Google Groups "sage-devel" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-devel+unsubscr...@googlegroups.com. To post to this group, send email to sage-devel@googlegroups.com. Visit this group at https://groups.google.com/group/sage-devel. For more options, visit https://groups.google.com/d/optout.