*----* MuPAD 2.0.0 -- The Open Computer Algebra System /| /| *----* | Copyright (c) 1997 - 2000 by SciFace Software | *--|-* All rights reserved. |/ |/ *----* Licensed to: Nicolas M. Thiery >> read("testDegreeBounds.mu"): compTGroupF(6,2,0):quit proc InvariantRingTransitiveGroup(n, i, p) ... end Info: Computation of the invariant ring of the 2nd transitive permutation \ group on 6 variables in characteristic 0. Info: Module GLIP version 0.4 ready. Type GLIP::doc(); for usage informati\ on. Info: ====================================================================\ ========== Info: Computation of a minimal generating set using SAGBI+linear algebra. Info: Version: $Id: comphead.mu,v 1.2 2001/03/21 17:51:40 nthiery Exp $ Date: Wed May 2 19:57:42 CEST 2001 Host: giulia3.medicis.polytechnique.fr Info: ====================================================================\ ========== Info: degreeBound: from the dimension of the space: 15 Info: secondaryInvariantsSeries: Computation from cycle types Info: secondaryInvariantsSeries: working on cycletype, [6, 0, 0, 0, 0, 0] Info: secondaryInvariantsSeries: working on cycletype, [0, 0, 2, 0, 0, 0] Info: secondaryInvariantsSeries: working on cycletype, [0, 3, 0, 0, 0, 0] Info: degreeBound: enhancement from the degrees of the primary invariants:\ 14 Info: degreeBound: enhancement from the size of the group: 4 Info: Constructing a minimal generating set at degree 0 Info: No generators at degree 0 Info: Constructing a minimal generating set at degree 1 Info: Constructing the initial poset at degree 1 Info: Generating the full matrix of decomposable invariants by iterating t\ hrough all 1 initial monomials . Info: Applying Gauss Elimination Info: Extracting initial monomials that are not hit Info: Dim: 1 Skiped: 0 Char Col: 0 Mgs: 1 Info: 1 20 2796897 #Stats: degree,time(ms),mem(bytes) Info: Statistics for degree 1: Date: Wed May 2 19:57:43 CEST 2001 Info: Time: 20 ms Info: Memory: 2813 ko. Info: S-Pairs: 0 (+ 0 normalf->0 + 0 reduction->0 + 0 non-lcm->0) Info: Minimal generators: 1 Info: -------------------------------------- Info: [1, 0, 0, 0, 0, 0] Info: -------------------------------------- Info: Constructing a minimal generating set at degree 2 Info: Constructing the initial poset at degree 1 Info: Constructing the initial poset at degree 2 Info: Generating the full matrix of decomposable invariants by iterating t\ hrough all 5 initial monomials ..... Info: Applying Gauss Elimination Info: Extracting initial monomials that are not hit Info: Dim: 5 Skiped: 1 Char Col: 0 Mgs: 4 Info: 2 10 2813281 #Stats: degree,time(ms),mem(bytes) Info: Statistics for degree 2: Date: Wed May 2 19:57:43 CEST 2001 Info: Time: 10 ms Info: Memory: 2813 ko. Info: S-Pairs: 0 (+ 0 normalf->0 + 0 reduction->0 + 0 non-lcm->0) Info: Minimal generators: 4 Info: -------------------------------------- Info: [1, 0, 0, 0, 0, 1] Info: [1, 0, 0, 1, 0, 0] Info: [1, 0, 1, 0, 0, 0] Info: [1, 1, 0, 0, 0, 0] Info: -------------------------------------- Info: Constructing a minimal generating set at degree 3 Info: Constructing the initial poset at degree 3 Info: Generating the full matrix of decomposable invariants by iterating t\ hrough all 10 initial monomials .......... Info: Applying Gauss Elimination Info: Extracting initial monomials that are not hit Info: Dim: 10 Skiped: 5 Char Col: 0 Mgs: 5 Info: 3 10 2829665 #Stats: degree,time(ms),mem(bytes) Info: Statistics for degree 3: Date: Wed May 2 19:57:43 CEST 2001 Info: Time: 10 ms Info: Memory: 2829 ko. Info: S-Pairs: 0 (+ 0 normalf->0 + 0 reduction->0 + 0 non-lcm->0) Info: Minimal generators: 5 Info: -------------------------------------- Info: [1, 0, 1, 0, 0, 1] Info: [1, 0, 1, 0, 1, 0] Info: [1, 1, 0, 1, 0, 0] Info: [1, 1, 1, 0, 0, 0] Info: [2, 0, 0, 0, 1, 0] Info: -------------------------------------- Info: Constructing a minimal generating set at degree 4 Info: Constructing the initial poset at degree 4 Info: Generating the full matrix of decomposable invariants by iterating t\ hrough all 24 initial monomials ........pp.pp..p..p..pp...p...... Info: Applying Gauss Elimination [7:2][8:2][9:2][10:2][12:2][14:2][16:2][17:2]. Info: Extracting initial monomials that are not hit Info: Dim: 24 Skiped: 11 Char Col: 9 Mgs: 4 Info: 4 50 2846049 #Stats: degree,time(ms),mem(bytes) Info: Statistics for degree 4: Date: Wed May 2 19:57:43 CEST 2001 Info: Time: 50 ms Info: Memory: 2846 ko. Info: S-Pairs: 0 (+ 0 normalf->0 + 0 reduction->0 + 0 non-lcm->0) Info: Minimal generators: 4 Info: -------------------------------------- Info: [1, 1, 0, 1, 1, 0] Info: [1, 1, 1, 0, 0, 1] Info: [1, 1, 1, 0, 1, 0] Info: [2, 0, 0, 0, 1, 1] Info: -------------------------------------- Info: Total time: 510 ms Info: ====================================================================\ ========== Info: Computation of a minimal generating set using SAGBI+linear algebra. Info: Version: $Id: comphead.mu,v 1.2 2001/03/21 17:51:40 nthiery Exp $ Date: Wed May 2 19:57:43 CEST 2001 Host: giulia3.medicis.polytechnique.fr Info: ====================================================================\ ========== Info: Total time: 0 ms