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petermj
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Post subject: A small ideal hard to factorize  Posted: Thu Mar 25, 2010 1:36 am |
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Joined: Thu Mar 18, 2010 11:09 pm
Posts: 4
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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
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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;
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barakat
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Post subject: Re: A small ideal hard to factorize Posted: Mon Apr 25, 2011 5:22 pm |
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Joined: Thu Apr 14, 2011 1:13 pm
Posts: 2
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My colleague Sebastian Jambor tested this example with the last version of MAGMA. He stopped it after half an hour.
Mohamed
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