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| A small ideal hard to factorize https://www.singular.uni-kl.de/forum/viewtopic.php?f=10&t=1815 |
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| Author: | petermj [ Thu Mar 25, 2010 1:36 am ] |
| Post subject: | A small ideal hard to factorize |
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; |
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| Author: | barakat [ Mon Apr 25, 2011 5:22 pm ] |
| Post subject: | Re: A small ideal hard to factorize |
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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