t-groups.log

gap> RequirePackage("carat");
true
gap> names := [];
[  ]
gap> GROUPS := [];
[  ]
gap> R := CaratReadBravaisFile("ordnung.12/(3)^2(9)^2/group.1635");
rec( 
  generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
              0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], 
          [ 0, 0, 0, 0, 1, -1 ] ], 
      [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 1, 0, 0 ], 
          [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 1 ] 
         ] ], size := 12 )
gap> P1 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.12/(3)^2(9)^2/words.group.1635"]);
gap> Append(GROUPS,[P1]);
gap> R := CaratReadBravaisFile("ordnung.6/(3)^2(9)^2/min.299");
rec( 
  generators := [ [ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 
              1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], 
          [ 0, 0, 0, 0, 1, 0 ] ], 
      [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], 
          [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 1, 0, 0, -1 ], 
          [ 0, 0, 1, -1, 1, -1 ] ] ], size := 6 )
gap> P2 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.6/(3)^2(9)^2/words.min.299"]);
gap> Append(GROUPS,[P2]);
gap> Print(GROUPS,"\n");
[ Group(
    [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], 
          [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 1, -1 ] ]
        , 
      [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 1, 0, 0 ], 
          [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 1 ] 
         ] ]), 
  Group([ [ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ]
            , [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], 
          [ 0, 0, 0, 0, 1, 0 ] ], 
      [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], 
          [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 1, 0, 0, -1 ], 
          [ 0, 0, 1, -1, 1, -1 ] ] ]) ]
gap> Print(names,"\n");
[ "ordnung.12/(3)^2(9)^2/words.group.1635", 
  "ordnung.6/(3)^2(9)^2/words.min.299" ]
gap> Size(GROUPS);
2
gap> Size(names);
2
gap> Read("../../TGROUPS.GAP");
gap> for i in [1..Size(GROUPS)] do
>    SubgroupWords(GROUPS[i], names[i]);
> od;
[ x1*x2^3, x2^2 ]
[ x1, x2^2 ]
[ x2^3, x2^2 ]
[ x1*x2^3, x1 ]
[ x1*x2*x1 ]
[ x2*x1 ]
gap> LogTo();