*----*    MuPAD 1.4.2 -- The Open Computer Algebra System
  /|   /|
 *----* |    Copyright (c)  1997 - 1999  by SciFace Software
 | *--|-*                   All rights reserved.
 |/   |/
 *----*      Licensed to:   Nicolas M. Thiery for the MACS department
                                                                
>> read("mupadinit"):
>> p:=3:
>> IC:=ICpp(p):
Module GLIP version 0.3fix2 ready. Type GLIP::doc(); for usage information\
.
>> IC::minimalGeneratingSet();
==========================================================================\
====
Computation of a minimal generating set using SAGBI+linear algebra.
Version: $Id: PGrpIRng.mu,v 1.23 2000/10/10 06:03:19 nthiery Exp $
Date: mar oct 10 00:24:36 MDT 2000
Host: lawson.Mines.EDU
==========================================================================\
====
Constructing Minimal Generating Set at degree 0
No generators at degree 0
Constructing Minimal Generating Set at degree 1
Looking for S-pairs by iterating through all 1 initial monomials
[1]
Statistics for degree 1:
  Date: mar oct 10 00:24:36 MDT 2000
  Time: 110 ms
  Memory: 2098 ko.
  S-Pairs: 0 (+ 0 normalf->0 + 0 reduction->0 + 0 non-lcm->0)
  Minimal generators: 1
  --------------------------------------
    [1, 0, 0]
  --------------------------------------
1       130     2098496 #Stats: degree,time(ms),mem(bytes)
Constructing Minimal Generating Set at degree 2
Looking for S-pairs by iterating through all 2 initial monomials
[2][1]
Statistics for degree 2:
  Date: mar oct 10 00:24:36 MDT 2000
  Time: 10 ms
  Memory: 2098 ko.
  S-Pairs: 0 (+ 0 normalf->0 + 0 reduction->0 + 0 non-lcm->0)
  Minimal generators: 1
  --------------------------------------
    [1, 1, 0]
  --------------------------------------
2       10      2098496 #Stats: degree,time(ms),mem(bytes)
Constructing Minimal Generating Set at degree 3
Looking for S-pairs by iterating through all 4 initial monomials
[4][3][2][1]
Statistics for degree 3:
  Date: mar oct 10 00:24:36 MDT 2000
  Time: 20 ms
  Memory: 2098 ko.
  S-Pairs: 0 (+ 0 normalf->0 + 0 reduction->0 + 0 non-lcm->0)
  Minimal generators: 2
  --------------------------------------
    [1, 1, 1]
    [2, 0, 1]
  --------------------------------------
3       20      2114880 #Stats: degree,time(ms),mem(bytes)
Total time: 180 ms

                       table(
                         1 = [[1, 0, 0]],
                         2 = [[1, 1, 0]],
                         3 = [[1, 1, 1], [2, 0, 1]]
                       )


>> quit