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Topic review - A small ideal hard to factorize
Author Message
barakat
  Post subject:  Re: A small ideal hard to factorize  Reply with quote
My colleague Sebastian Jambor tested this example with the last version of MAGMA. He stopped it after half an hour.

Mohamed
Post Posted: Mon Apr 25, 2011 5:22 pm
petermj
  Post subject:  A small ideal hard to factorize  Reply with quote
This ideal has a primary decomp with 8 factors (7 prime), found via tricks.
One prime factor is complicated, but the rest are really quite simple.
You may find this an interesting challenge. Details provided if requested

Greetings,
Peter Johnson
Recife, Brazil

===========================================================

ring rr = 0,(o,K,L,M,N,P,Q,R,S,T,U,V,W),dp;

ideal ts; /* 5, Gr base 16 */
ts[1]=MR-MU+NV-QV;
ts[2]=oMU-oNV+MP-PV;
ts[3]=oNR-oQU+NP-PQ+PR-PU;
ts[4]=oKPR-oNPT+oQ2U-oQRU+KP2-NPQ+PQ2-PQR+PR2-NPS+PRS-P2T+PQU-PRU;
ts[5]=oLPQ-oNQU+oQU2-oPUW+LP2+PQS-NPU+PQU-PSU-P2W;
Post Posted: Thu Mar 25, 2010 1:36 am


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