CoCoA:Example c7

Description

homogenized cyclic 7

c7_h

Computed in 1.023 seconds on hilbert with 0.95CVS-2006-04-27. Statistics:

Poly in Basis  121
Pairs Reduced        449 = (442+7 Gens) of which 121 useful and 328 useless
Pairs Inserted        7260 + 7 generators of which 449 survived
  of which GMKilled     6575
  of which CopKilled    239
  of which BKilled      4
GM considered pairs   27052
Back considered pairs 9843

Older benchmarks:

• 0.95CVS-2006-04-25: 0.910 seconds on hilbert.
• 0.95CVS-2006-04-08: 1.269 seconds on hilbert.
• 0.95CVS-2006-03-15: 0.95 seconds on hilbert.
• 0.95CVS-2006-03-14: 0.988 seconds on hilbert.
• 0.95CVS-2005-12-31: 1.05607 seconds on hilbert.

c7_hQ

Computed in 5.64 seconds on hilbert with 0.95CVS-2006-03-15.

c7_hL

Computed in 53.1833 seconds on hilbert with 0.96. Statistics:

Poly in Basis  728
Pairs Reduced        3370 = (3363+7 Gens) of which 728 useful and 2642 useless
Pairs Inserted        264628 + 7 generators of which 3370 survived
  of which GMKilled     259803
  of which CopKilled    1453
  of which BKilled      9
GM considered pairs   1212702
Back considered pairs 161163

Older benchmarks:

• 0.95CVS-2006-04-27: 55.638 seconds on hilbert.
• 0.95CVS-2006-04-25: 55.754 seconds on hilbert.
• 0.95CVS-2006-04-08: 58.715 seconds on hilbert.
• 0.95CVS-2006-03-15: 56.78 seconds on hilbert.
• 0.95CVS-2006-03-14: 52.925 seconds on hilbert.
• 0.95CVS-2005-12-31: 55.1074 seconds on hilbert.

c7_hQL

Computed in 3495 seconds on hilbert with 0.96. Statistics:

Poly in Basis  728
Pairs Reduced        3370 = (3363+7 Gens) of which 728 useful and 2642 useless
Pairs Inserted        264628 + 7 generators of which 3370 survived
  of which GMKilled     259803
  of which CopKilled    1453
  of which BKilled      9
GM considered pairs   1212702
Back considered pairs 161163

Older benchmarks:

• 0.95CVS-2006-04-14: 5785 seconds on hilbert.
• 0.95CVS-2006-04-10: 5765 seconds on hilbert.