# CoCoA:Example c7

From ApCoCoAWiki

# 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.