Here are some times for cubic fields (I have already timed Pari for
fields of degree up to 25):

Degree, Bits, Iterations : Pari Magma

3, 5, 5000 : 15s 28s
3, 10, 1000 : 23s 26s
3, 15, 100 : 15-20s 14-39s
x^3 - 327878*x^2 - 1038886*x + 711300 : 1.12s 10.6s
x^3 + 244636*x^2 + 536860*x - 435475 : 0.545s 5.25s
x^3 - 840752*x^2 + 979860*x - 141846 : 2.38s 26.15s
x^3 - 994421*x^2 - 866767*x - 513979 : 3.53s 35.5s
x^3 - 649099*x^2 + 997454*x + 787504 : 0.332s 3.81s
x^3 + 33354817*x^2 - 17000985*x - 4985420 : 10.2s 109s
x^3 + 16766060*x^2 + 491009*x - 25868840 : 8.24s 111s
x^3 - 3069789*x^2 + 31777984*x - 24323311 : 7.93s 100s
x^3 + 11823123*x^2 + 20775154*x - 20239321 : 17.6s 192s
x^3 - 26450070*x^2 + 10700466*x - 27026226 : 38.7s ....

I used BachBound/40 for these when timing Magma. Again Magma doesn't
fare too well.

Bill.


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