GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
gap> RequirePackage("carat");
true
gap> names := [];
[ ]
gap> GROUPS := [];
[ ]
gap> R := CaratReadBravaisFile("ordnung.128/(2)^4(4)^4/group.1188");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 128 )
gap> P1 := Group(R.generators);
<matrix group with 6 generators>
gap> Append(names,["ordnung.128/(2)^4(4)^4/words.group.1188"]);
gap> Append(GROUPS,[P1]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^1(4)^4(8)^1/min.242");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 16 )
gap> P2 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.16/(2)^1(4)^4(8)^1/words.min.242"]);
gap> Append(GROUPS,[P2]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^1(4)^4(8)^1/min.243");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 16 )
gap> P3 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.16/(2)^1(4)^4(8)^1/words.min.243"]);
gap> Append(GROUPS,[P3]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^2(4)^2(8)^2/group.1189");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 16 )
gap> P4 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.16/(2)^2(4)^2(8)^2/words.group.1189"]);
gap> Append(GROUPS,[P4]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^2(4)^2(8)^2/group.1190");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
,
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 16 )
gap> P5 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.16/(2)^2(4)^2(8)^2/words.group.1190"]);
gap> Append(GROUPS,[P5]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^2(4)^2(8)^2/group.1191");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 16 )
gap> P6 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.16/(2)^2(4)^2(8)^2/words.group.1191"]);
gap> Append(GROUPS,[P6]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^2(4)^2(8)^2/group.1192");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 16 )
gap> P7 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.16/(2)^2(4)^2(8)^2/words.group.1192"]);
gap> Append(GROUPS,[P7]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^2(4)^2(8)^2/group.1193");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 16 )
gap> P8 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.16/(2)^2(4)^2(8)^2/words.group.1193"]);
gap> Append(GROUPS,[P8]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^2(4)^2(8)^2/group.1194");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 16 )
gap> P9 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.16/(2)^2(4)^2(8)^2/words.group.1194"]);
gap> Append(GROUPS,[P9]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^2(8)^4/group.1195");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 16 )
gap> P10 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.16/(2)^2(8)^4/words.group.1195"]);
gap> Append(GROUPS,[P10]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^4(16)^4/group.1196");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 16 )
gap> P11 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.16/(2)^4(16)^4/words.group.1196"]);
gap> Append(GROUPS,[P11]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^4(4)^2(16)^2/group.1197");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 16 )
gap> P12 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.16/(2)^4(4)^2(16)^2/words.group.1197"]);
gap> Append(GROUPS,[P12]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^4(4)^2(16)^2/group.1198");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
, [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 16 )
gap> P13 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.16/(2)^4(4)^2(16)^2/words.group.1198"]);
gap> Append(GROUPS,[P13]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^4(4)^2(16)^2/group.1199");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 16 )
gap> P14 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.16/(2)^4(4)^2(16)^2/words.group.1199"]);
gap> Append(GROUPS,[P14]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^4(4)^2(16)^2/group.1200");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 16 )
gap> P15 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.16/(2)^4(4)^2(16)^2/words.group.1200"]);
gap> Append(GROUPS,[P15]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^4(4)^2(16)^2/group.1201");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 16 )
gap> P16 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.16/(2)^4(4)^2(16)^2/words.group.1201"]);
gap> Append(GROUPS,[P16]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^4(4)^2(16)^2/group.1202");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 16 )
gap> P17 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.16/(2)^4(4)^2(16)^2/words.group.1202"]);
gap> Append(GROUPS,[P17]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^4(8)^4/group.1203");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 16 )
gap> P18 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.16/(2)^4(8)^4/words.group.1203"]);
gap> Append(GROUPS,[P18]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^4(8)^4/group.1204");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
,
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 16 )
gap> P19 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.16/(2)^4(8)^4/words.group.1204"]);
gap> Append(GROUPS,[P19]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^4(8)^4/group.1205");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 16 )
gap> P20 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.16/(2)^4(8)^4/words.group.1205"]);
gap> Append(GROUPS,[P20]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^4(8)^4/group.1206");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
,
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 16 )
gap> P21 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.16/(2)^4(8)^4/words.group.1206"]);
gap> Append(GROUPS,[P21]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^4(8)^4/group.1207");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 16 )
gap> P22 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.16/(2)^4(8)^4/words.group.1207"]);
gap> Append(GROUPS,[P22]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^4(8)^4/group.1208");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 16 )
gap> P23 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.16/(2)^4(8)^4/words.group.1208"]);
gap> Append(GROUPS,[P23]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^4(8)^4/min.244");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 16 )
gap> P24 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.16/(2)^4(8)^4/words.min.244"]);
gap> Append(GROUPS,[P24]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^4(8)^4/min.245");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
, [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 16 )
gap> P25 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.16/(2)^4(8)^4/words.min.245"]);
gap> Append(GROUPS,[P25]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^4(8)^4/min.246");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 16 )
gap> P26 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.16/(2)^4(8)^4/words.min.246"]);
gap> Append(GROUPS,[P26]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^4(8)^4/min.247");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 16 )
gap> P27 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.16/(2)^4(8)^4/words.min.247"]);
gap> Append(GROUPS,[P27]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^1(4)^4(8)^1/group.1209");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 32 )
gap> P28 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.32/(2)^1(4)^4(8)^1/words.group.1209"]);
gap> Append(GROUPS,[P28]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^2(4)^2(8)^2/group.1210");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 32 )
gap> P29 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.32/(2)^2(4)^2(8)^2/words.group.1210"]);
gap> Append(GROUPS,[P29]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^2(4)^2(8)^2/group.1211");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 32 )
gap> P30 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.32/(2)^2(4)^2(8)^2/words.group.1211"]);
gap> Append(GROUPS,[P30]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^2(4)^4/group.1212");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 32 )
gap> P31 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.32/(2)^2(4)^4/words.group.1212"]);
gap> Append(GROUPS,[P31]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^2(4)^4/group.1213");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 32 )
gap> P32 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.32/(2)^2(4)^4/words.group.1213"]);
gap> Append(GROUPS,[P32]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^2(4)^4/group.1214");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 32 )
gap> P33 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.32/(2)^2(4)^4/words.group.1214"]);
gap> Append(GROUPS,[P33]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^2(4)^4/group.1215");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 32 )
gap> P34 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.32/(2)^2(4)^4/words.group.1215"]);
gap> Append(GROUPS,[P34]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^2(16)^2/group.1216");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 32 )
gap> P35 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^2(16)^2/words.group.1216"]);
gap> Append(GROUPS,[P35]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^2(8)^2/group.1217");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 32 )
gap> P36 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^2(8)^2/words.group.1217"]);
gap> Append(GROUPS,[P36]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^2(8)^2/group.1218");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
, [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 32 )
gap> P37 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^2(8)^2/words.group.1218"]);
gap> Append(GROUPS,[P37]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^2(8)^2/group.1219");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 32 )
gap> P38 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^2(8)^2/words.group.1219"]);
gap> Append(GROUPS,[P38]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^2(8)^2/group.1220");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 32 )
gap> P39 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^2(8)^2/words.group.1220"]);
gap> Append(GROUPS,[P39]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^2(8)^2/group.1221");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 32 )
gap> P40 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^2(8)^2/words.group.1221"]);
gap> Append(GROUPS,[P40]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^2(8)^2/group.1222");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 32 )
gap> P41 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^2(8)^2/words.group.1222"]);
gap> Append(GROUPS,[P41]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^2(8)^2/group.1223");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 32 )
gap> P42 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^2(8)^2/words.group.1223"]);
gap> Append(GROUPS,[P42]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^2(8)^2/group.1224");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 32 )
gap> P43 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^2(8)^2/words.group.1224"]);
gap> Append(GROUPS,[P43]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^2(8)^2/group.1225");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 32 )
gap> P44 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^2(8)^2/words.group.1225"]);
gap> Append(GROUPS,[P44]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^2(8)^2/group.1226");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 32 )
gap> P45 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^2(8)^2/words.group.1226"]);
gap> Append(GROUPS,[P45]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^2(8)^2/group.1227");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 32 )
gap> P46 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^2(8)^2/words.group.1227"]);
gap> Append(GROUPS,[P46]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^2(8)^2/group.1228");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 32 )
gap> P47 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^2(8)^2/words.group.1228"]);
gap> Append(GROUPS,[P47]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^2(8)^2/group.1229");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 32 )
gap> P48 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^2(8)^2/words.group.1229"]);
gap> Append(GROUPS,[P48]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^2(8)^2/group.1230");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 32 )
gap> P49 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^2(8)^2/words.group.1230"]);
gap> Append(GROUPS,[P49]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^2(8)^2/group.1231");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 32 )
gap> P50 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^2(8)^2/words.group.1231"]);
gap> Append(GROUPS,[P50]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^2(8)^2/group.1232");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 32 )
gap> P51 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^2(8)^2/words.group.1232"]);
gap> Append(GROUPS,[P51]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^2(8)^2/group.1233");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
, [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 32 )
gap> P52 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^2(8)^2/words.group.1233"]);
gap> Append(GROUPS,[P52]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^2(8)^2/group.1234");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 32 )
gap> P53 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^2(8)^2/words.group.1234"]);
gap> Append(GROUPS,[P53]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^2(8)^2/group.1235");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 32 )
gap> P54 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^2(8)^2/words.group.1235"]);
gap> Append(GROUPS,[P54]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^2(8)^2/group.1236");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 32 )
gap> P55 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^2(8)^2/words.group.1236"]);
gap> Append(GROUPS,[P55]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^2(8)^2/group.1237");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
, [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 32 )
gap> P56 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^2(8)^2/words.group.1237"]);
gap> Append(GROUPS,[P56]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^2(8)^2/group.1238");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 32 )
gap> P57 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^2(8)^2/words.group.1238"]);
gap> Append(GROUPS,[P57]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^2(8)^2/group.1239");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
, [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 32 )
gap> P58 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^2(8)^2/words.group.1239"]);
gap> Append(GROUPS,[P58]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^2(8)^2/group.1240");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 32 )
gap> P59 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^2(8)^2/words.group.1240"]);
gap> Append(GROUPS,[P59]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^2(8)^2/group.1241");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 32 )
gap> P60 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^2(8)^2/words.group.1241"]);
gap> Append(GROUPS,[P60]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(8)^4/group.1242");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 32 )
gap> P61 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.32/(2)^4(8)^4/words.group.1242"]);
gap> Append(GROUPS,[P61]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(8)^4/group.1243");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 32 )
gap> P62 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.32/(2)^4(8)^4/words.group.1243"]);
gap> Append(GROUPS,[P62]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(8)^4/group.1244");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 32 )
gap> P63 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.32/(2)^4(8)^4/words.group.1244"]);
gap> Append(GROUPS,[P63]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(8)^4/group.1245");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 32 )
gap> P64 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.32/(2)^4(8)^4/words.group.1245"]);
gap> Append(GROUPS,[P64]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^2(4)^4/group.1246");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 64 )
gap> P65 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.64/(2)^2(4)^4/words.group.1246"]);
gap> Append(GROUPS,[P65]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^2(8)^2/group.1247");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 64 )
gap> P66 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^2(8)^2/words.group.1247"]);
gap> Append(GROUPS,[P66]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^2(8)^2/group.1248");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
, [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 64 )
gap> P67 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^2(8)^2/words.group.1248"]);
gap> Append(GROUPS,[P67]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^2(8)^2/group.1249");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 64 )
gap> P68 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^2(8)^2/words.group.1249"]);
gap> Append(GROUPS,[P68]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^2(8)^2/group.1250");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 64 )
gap> P69 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^2(8)^2/words.group.1250"]);
gap> Append(GROUPS,[P69]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^2(8)^2/group.1251");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 64 )
gap> P70 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^2(8)^2/words.group.1251"]);
gap> Append(GROUPS,[P70]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^4/group.1252");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 64 )
gap> P71 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^4/words.group.1252"]);
gap> Append(GROUPS,[P71]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^4/group.1253");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
, [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 64 )
gap> P72 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^4/words.group.1253"]);
gap> Append(GROUPS,[P72]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^4/group.1254");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 64 )
gap> P73 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^4/words.group.1254"]);
gap> Append(GROUPS,[P73]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^4/group.1255");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 64 )
gap> P74 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^4/words.group.1255"]);
gap> Append(GROUPS,[P74]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^4/group.1256");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 64 )
gap> P75 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^4/words.group.1256"]);
gap> Append(GROUPS,[P75]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^4/group.1257");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 64 )
gap> P76 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^4/words.group.1257"]);
gap> Append(GROUPS,[P76]);
gap> R := CaratReadBravaisFile("ordnung.8/(2)^2(8)^4/min.248");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 8 )
gap> P77 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.8/(2)^2(8)^4/words.min.248"]);
gap> Append(GROUPS,[P77]);
gap> R := CaratReadBravaisFile("ordnung.8/(2)^4(16)^4/min.249");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 8 )
gap> P78 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.8/(2)^4(16)^4/words.min.249"]);
gap> Append(GROUPS,[P78]);
gap> Print(GROUPS,"\n");
[ Group(
[ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [
0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
, [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ]),
Group([ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
, [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ]),
Group([ [ [ 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
]),
Group([ [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ]),
Group([ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
,
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ]),
Group([ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ]),
Group([ [ [ 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ]
, [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
]),
Group([ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
]),
Group([ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ]),
Group([ [ [ 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ]
, [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ]),
Group([ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
]),
Group([ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
]),
Group([ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
, [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
]),
Group([ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
]),
Group([ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
]),
Group([ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
]),
Group([ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
]),
Group([ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ]
, [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ]),
Group([ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ]
, [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
,
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
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[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
]),
Group([ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ]),
Group([ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ]),
Group([ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ]),
Group([ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ]),
Group([ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
, [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
]),
Group([ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
]),
Group([ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
]),
Group([ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ]),
Group([ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ]),
Group([ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
,
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ]),
Group([ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ]
, [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ]) ]
gap> Print(names,"\n");
[ "ordnung.128/(2)^4(4)^4/words.group.1188",
"ordnung.16/(2)^1(4)^4(8)^1/words.min.242",
"ordnung.16/(2)^1(4)^4(8)^1/words.min.243",
"ordnung.16/(2)^2(4)^2(8)^2/words.group.1189",
"ordnung.16/(2)^2(4)^2(8)^2/words.group.1190",
"ordnung.16/(2)^2(4)^2(8)^2/words.group.1191",
"ordnung.16/(2)^2(4)^2(8)^2/words.group.1192",
"ordnung.16/(2)^2(4)^2(8)^2/words.group.1193",
"ordnung.16/(2)^2(4)^2(8)^2/words.group.1194",
"ordnung.16/(2)^2(8)^4/words.group.1195",
"ordnung.16/(2)^4(16)^4/words.group.1196",
"ordnung.16/(2)^4(4)^2(16)^2/words.group.1197",
"ordnung.16/(2)^4(4)^2(16)^2/words.group.1198",
"ordnung.16/(2)^4(4)^2(16)^2/words.group.1199",
"ordnung.16/(2)^4(4)^2(16)^2/words.group.1200",
"ordnung.16/(2)^4(4)^2(16)^2/words.group.1201",
"ordnung.16/(2)^4(4)^2(16)^2/words.group.1202",
"ordnung.16/(2)^4(8)^4/words.group.1203",
"ordnung.16/(2)^4(8)^4/words.group.1204",
"ordnung.16/(2)^4(8)^4/words.group.1205",
"ordnung.16/(2)^4(8)^4/words.group.1206",
"ordnung.16/(2)^4(8)^4/words.group.1207",
"ordnung.16/(2)^4(8)^4/words.group.1208",
"ordnung.16/(2)^4(8)^4/words.min.244", "ordnung.16/(2)^4(8)^4/words.min.245"
, "ordnung.16/(2)^4(8)^4/words.min.246",
"ordnung.16/(2)^4(8)^4/words.min.247",
"ordnung.32/(2)^1(4)^4(8)^1/words.group.1209",
"ordnung.32/(2)^2(4)^2(8)^2/words.group.1210",
"ordnung.32/(2)^2(4)^2(8)^2/words.group.1211",
"ordnung.32/(2)^2(4)^4/words.group.1212",
"ordnung.32/(2)^2(4)^4/words.group.1213",
"ordnung.32/(2)^2(4)^4/words.group.1214",
"ordnung.32/(2)^2(4)^4/words.group.1215",
"ordnung.32/(2)^4(4)^2(16)^2/words.group.1216",
"ordnung.32/(2)^4(4)^2(8)^2/words.group.1217",
"ordnung.32/(2)^4(4)^2(8)^2/words.group.1218",
"ordnung.32/(2)^4(4)^2(8)^2/words.group.1219",
"ordnung.32/(2)^4(4)^2(8)^2/words.group.1220",
"ordnung.32/(2)^4(4)^2(8)^2/words.group.1221",
"ordnung.32/(2)^4(4)^2(8)^2/words.group.1222",
"ordnung.32/(2)^4(4)^2(8)^2/words.group.1223",
"ordnung.32/(2)^4(4)^2(8)^2/words.group.1224",
"ordnung.32/(2)^4(4)^2(8)^2/words.group.1225",
"ordnung.32/(2)^4(4)^2(8)^2/words.group.1226",
"ordnung.32/(2)^4(4)^2(8)^2/words.group.1227",
"ordnung.32/(2)^4(4)^2(8)^2/words.group.1228",
"ordnung.32/(2)^4(4)^2(8)^2/words.group.1229",
"ordnung.32/(2)^4(4)^2(8)^2/words.group.1230",
"ordnung.32/(2)^4(4)^2(8)^2/words.group.1231",
"ordnung.32/(2)^4(4)^2(8)^2/words.group.1232",
"ordnung.32/(2)^4(4)^2(8)^2/words.group.1233",
"ordnung.32/(2)^4(4)^2(8)^2/words.group.1234",
"ordnung.32/(2)^4(4)^2(8)^2/words.group.1235",
"ordnung.32/(2)^4(4)^2(8)^2/words.group.1236",
"ordnung.32/(2)^4(4)^2(8)^2/words.group.1237",
"ordnung.32/(2)^4(4)^2(8)^2/words.group.1238",
"ordnung.32/(2)^4(4)^2(8)^2/words.group.1239",
"ordnung.32/(2)^4(4)^2(8)^2/words.group.1240",
"ordnung.32/(2)^4(4)^2(8)^2/words.group.1241",
"ordnung.32/(2)^4(8)^4/words.group.1242",
"ordnung.32/(2)^4(8)^4/words.group.1243",
"ordnung.32/(2)^4(8)^4/words.group.1244",
"ordnung.32/(2)^4(8)^4/words.group.1245",
"ordnung.64/(2)^2(4)^4/words.group.1246",
"ordnung.64/(2)^4(4)^2(8)^2/words.group.1247",
"ordnung.64/(2)^4(4)^2(8)^2/words.group.1248",
"ordnung.64/(2)^4(4)^2(8)^2/words.group.1249",
"ordnung.64/(2)^4(4)^2(8)^2/words.group.1250",
"ordnung.64/(2)^4(4)^2(8)^2/words.group.1251",
"ordnung.64/(2)^4(4)^4/words.group.1252",
"ordnung.64/(2)^4(4)^4/words.group.1253",
"ordnung.64/(2)^4(4)^4/words.group.1254",
"ordnung.64/(2)^4(4)^4/words.group.1255",
"ordnung.64/(2)^4(4)^4/words.group.1256",
"ordnung.64/(2)^4(4)^4/words.group.1257",
"ordnung.8/(2)^2(8)^4/words.min.248", "ordnung.8/(2)^4(16)^4/words.min.249"
]
gap> Size(GROUPS);
78
gap> Size(names);
78
gap> Read("../../TGROUPS.GAP");
gap> for i in [1..Size(GROUPS)] do
> SubgroupWords(GROUPS[i], names[i]);
> od;
[ x4*x6, x5, x5*x1*x5, x2, x3, x1*x5*x1*x5 ]
[ x4*x6, x5, x5*x1*x5, x2, x4, x1*x5*x1*x5 ]
[ x4*x6, x5, x5*x1*x5, x2, x3*x4, x1*x5*x1*x5 ]
[ x4*x6, x5, x5*x1*x5, x3, x4, x1*x5*x1*x5 ]
[ x4*x6, x5, x5*x1*x5, x2*x4, x3, x1*x5*x1*x5 ]
[ x4*x6, x5, x5*x1*x5, x2*x3, x4, x1*x5*x1*x5 ]
[ x4*x6, x5, x5*x1*x5, x2*x4, x3*x4, x1*x5*x1*x5 ]
[ x4*x6, x5, x2, x3, x4, x1*x5*x1*x5 ]
[ x4*x6, x5, x4*x5*x1*x5, x2, x3, x1*x5*x1*x5 ]
[ x4*x6, x5, x3*x5*x1*x5, x2, x4, x1*x5*x1*x5 ]
[ x4*x6, x5, x4*x5*x1*x5, x2, x3*x4, x1*x5*x1*x5 ]
[ x4*x6, x5, x2*x5*x1*x5, x3, x4, x1*x5*x1*x5 ]
[ x4*x6, x5, x4*x5*x1*x5, x2*x4, x3, x1*x5*x1*x5 ]
[ x4*x6, x5, x3*x5*x1*x5, x2*x3, x4, x1*x5*x1*x5 ]
[ x4*x6, x5, x4*x5*x1*x5, x2*x4, x3*x4, x1*x5*x1*x5 ]
[ x4*x6, x5*x1*x5, x2, x3, x4, x1*x5*x1*x5 ]
[ x4*x6, x4*x5, x5*x1*x5, x2, x3, x1*x5*x1*x5 ]
[ x4*x6, x3*x5, x5*x1*x5, x2, x4, x1*x5*x1*x5 ]
[ x4*x6, x4*x5, x5*x1*x5, x2, x3*x4, x1*x5*x1*x5 ]
[ x4*x6, x2*x5, x5*x1*x5, x3, x4, x1*x5*x1*x5 ]
[ x4*x6, x4*x5, x5*x1*x5, x2*x4, x3, x1*x5*x1*x5 ]
[ x4*x6, x3*x5, x5*x1*x5, x2*x3, x4, x1*x5*x1*x5 ]
[ x4*x6, x4*x5, x5*x1*x5, x2*x4, x3*x4, x1*x5*x1*x5 ]
[ x4*x6, x1*x5, x2, x3, x4, x1*x5*x1*x5 ]
[ x4*x6, x4*x5, x4*x5*x1*x5, x2, x3, x1*x5*x1*x5 ]
[ x4*x6, x3*x5, x3*x5*x1*x5, x2, x4, x1*x5*x1*x5 ]
[ x4*x6, x4*x5, x4*x5*x1*x5, x2, x3*x4, x1*x5*x1*x5 ]
[ x4*x6, x2*x5, x2*x5*x1*x5, x3, x4, x1*x5*x1*x5 ]
[ x4*x6, x4*x5, x4*x5*x1*x5, x2*x4, x3, x1*x5*x1*x5 ]
[ x4*x6, x3*x5, x3*x5*x1*x5, x2*x3, x4, x1*x5*x1*x5 ]
[ x4*x6, x4*x5, x4*x5*x1*x5, x2*x4, x3*x4, x1*x5*x1*x5 ]
[ x5, x5*x1*x5, x2, x3, x4, x1*x5*x1*x5 ]
[ x6, x5, x5*x1*x5, x2, x3, x1*x5*x1*x5 ]
[ x3*x4*x6, x5, x5*x1*x5, x2, x4, x1*x5*x1*x5 ]
[ x6, x5, x5*x1*x5, x2, x3*x4, x1*x5*x1*x5 ]
[ x2*x4*x6, x5, x5*x1*x5, x3, x4, x1*x5*x1*x5 ]
[ x6, x5, x5*x1*x5, x2*x4, x3, x1*x5*x1*x5 ]
[ x3*x4*x6, x5, x5*x1*x5, x2*x3, x4, x1*x5*x1*x5 ]
[ x6, x5, x5*x1*x5, x2*x4, x3*x4, x1*x5*x1*x5 ]
[ x4*x5*x1*x5*x6, x5, x2, x3, x4, x1*x5*x1*x5 ]
[ x6, x5, x4*x5*x1*x5, x2, x3, x1*x5*x1*x5 ]
[ x3*x4*x6, x5, x3*x5*x1*x5, x2, x4, x1*x5*x1*x5 ]
[ x6, x5, x4*x5*x1*x5, x2, x3*x4, x1*x5*x1*x5 ]
[ x2*x4*x6, x5, x2*x5*x1*x5, x3, x4, x1*x5*x1*x5 ]
[ x6, x5, x4*x5*x1*x5, x2*x4, x3, x1*x5*x1*x5 ]
[ x3*x4*x6, x5, x3*x5*x1*x5, x2*x3, x4, x1*x5*x1*x5 ]
[ x6, x5, x4*x5*x1*x5, x2*x4, x3*x4, x1*x5*x1*x5 ]
[ x4*x5*x6, x5*x1*x5, x2, x3, x4, x1*x5*x1*x5 ]
[ x6, x4*x5, x5*x1*x5, x2, x3, x1*x5*x1*x5 ]
[ x3*x4*x6, x3*x5, x5*x1*x5, x2, x4, x1*x5*x1*x5 ]
[ x6, x4*x5, x5*x1*x5, x2, x3*x4, x1*x5*x1*x5 ]
[ x2*x4*x6, x2*x5, x5*x1*x5, x3, x4, x1*x5*x1*x5 ]
[ x6, x4*x5, x5*x1*x5, x2*x4, x3, x1*x5*x1*x5 ]
[ x3*x4*x6, x3*x5, x5*x1*x5, x2*x3, x4, x1*x5*x1*x5 ]
[ x6, x4*x5, x5*x1*x5, x2*x4, x3*x4, x1*x5*x1*x5 ]
[ x4*x5*x1*x5*x6, x1*x5, x2, x3, x4, x1*x5*x1*x5 ]
[ x6, x4*x5, x4*x5*x1*x5, x2, x3, x1*x5*x1*x5 ]
[ x3*x4*x6, x3*x5, x3*x5*x1*x5, x2, x4, x1*x5*x1*x5 ]
[ x6, x4*x5, x4*x5*x1*x5, x2, x3*x4, x1*x5*x1*x5 ]
[ x2*x4*x6, x2*x5, x2*x5*x1*x5, x3, x4, x1*x5*x1*x5 ]
[ x6, x4*x5, x4*x5*x1*x5, x2*x4, x3, x1*x5*x1*x5 ]
[ x3*x4*x6, x3*x5, x3*x5*x1*x5, x2*x3, x4, x1*x5*x1*x5 ]
[ x6, x4*x5, x4*x5*x1*x5, x2*x4, x3*x4, x1*x5*x1*x5 ]
[ x1*x2*x3, x2, x3^2 ]
[ x1*x2*x3, x1, x3^2 ]
[ x1*x2*x3, x1*x2, x3^2 ]
[ x2, x1, x3^2 ]
[ x2*x3, x2, x3^2 ]
[ x1*x3, x1, x3^2 ]
[ x2*x3, x1*x2, x3^2 ]
[ x2*x3, x2, x1^2 ]
[ x2*x3, x1, x1^2 ]
[ x2*x3, x1*x2, x1^2 ]
[ x2, x1, x1^2 ]
[ x1*x2*x3, x2, x1^2 ]
[ x3, x1, x1^2 ]
[ x1*x2*x3, x1*x2, x1^2 ]
[ x1^2*x2*x3, x2, x1^2 ]
[ x1^2*x2*x3, x1, x1^2 ]
[ x1^2*x2*x3, x1*x2, x1^2 ]
[ x2, x1, x1^2 ]
[ x1^3*x2*x3, x2, x1^2 ]
[ x1^2*x3, x1, x1^2 ]
[ x1^3*x2*x3, x1*x2, x1^2 ]
[ x3, x1*x2, x3^2 ]
[ x3, x1, x3^2 ]
[ x3, x2, x3^2 ]
[ x1*x2, x1, x3^2 ]
[ x1*x3, x1*x2, x3^2 ]
[ x1*x2*x3, x1, x3^2 ]
[ x1*x3, x2, x3^2 ]
[ x2^2*x3, x2, x2^2 ]
[ x2^2*x3, x1, x2^2 ]
[ x2^2*x3, x1*x2, x2^2 ]
[ x2, x1, x2^2 ]
[ x1*x2^2*x3, x2, x2^2 ]
[ x2^3*x3, x1, x2^2 ]
[ x1*x2^2*x3, x1*x2, x2^2 ]
[ x3, x2, x1^2 ]
[ x3, x1, x1^2 ]
[ x3, x1*x2, x1^2 ]
[ x2, x1, x1^2 ]
[ x1*x3, x2, x1^2 ]
[ x2*x3, x1, x1^2 ]
[ x1*x3, x1*x2, x1^2 ]
[ x3, x2, x3^2 ]
[ x3, x1, x3^2 ]
[ x3, x1*x2, x3^2 ]
[ x2, x1, x3^2 ]
[ x1*x3, x2, x3^2 ]
[ x2*x3, x1, x3^2 ]
[ x1*x3, x1*x2, x3^2 ]
[ x3, x2, x3^2 ]
[ x3, x1, x3^2 ]
[ x3, x1*x2, x3^2 ]
[ x2, x1, x3^2 ]
[ x1*x3, x2, x3^2 ]
[ x2*x3, x1, x3^2 ]
[ x1*x3, x1*x2, x3^2 ]
[ x2*x3, x2, x1^2 ]
[ x2*x3, x1, x1^2 ]
[ x2*x3, x1*x2, x1^2 ]
[ x2, x1, x1^2 ]
[ x1*x2*x3, x2, x1^2 ]
[ x3, x1, x1^2 ]
[ x1*x2*x3, x1*x2, x1^2 ]
[ x3, x1, x1*x3*x1*x3 ]
[ x3, x2, x1*x3*x1*x3 ]
[ x3, x1*x2, x1*x3*x1*x3 ]
[ x1, x2, x1*x3*x1*x3 ]
[ x2*x3, x1, x1*x3*x1*x3 ]
[ x3*x1, x2, x1*x3*x1*x3 ]
[ x2*x3, x1*x2, x1*x3*x1*x3 ]
[ x3, x2, x1*x2*x1*x2 ]
[ x3, x2*x1*x2, x1*x2*x1*x2 ]
[ x3, x1*x2, x1*x2*x1*x2 ]
[ x2, x2*x1*x2, x1*x2*x1*x2 ]
[ x2*x1*x2*x3, x2, x1*x2*x1*x2 ]
[ x2*x3, x2*x1*x2, x1*x2*x1*x2 ]
[ x2*x1*x2*x3, x1*x2, x1*x2*x1*x2 ]
[ x3, x2, x1*x2*x1*x2 ]
[ x3, x2*x1*x2, x1*x2*x1*x2 ]
[ x3, x1*x2, x1*x2*x1*x2 ]
[ x2, x2*x1*x2, x1*x2*x1*x2 ]
[ x2*x1*x2*x3, x2, x1*x2*x1*x2 ]
[ x2*x3, x2*x1*x2, x1*x2*x1*x2 ]
[ x2*x1*x2*x3, x1*x2, x1*x2*x1*x2 ]
[ x3, x2, x1*x2*x1*x2 ]
[ x3, x1, x1*x2*x1*x2 ]
[ x3, x2*x1, x1*x2*x1*x2 ]
[ x2, x1, x1*x2*x1*x2 ]
[ x1*x3, x2, x1*x2*x1*x2 ]
[ x2*x3, x1, x1*x2*x1*x2 ]
[ x1*x3, x2*x1, x1*x2*x1*x2 ]
[ x2*x3, x3*x1*x3, x1*x3*x1*x3 ]
[ x2*x3, x2, x1*x3*x1*x3 ]
[ x2*x3, x2*x3*x1*x3, x1*x3*x1*x3 ]
[ x3*x1*x3, x2, x1*x3*x1*x3 ]
[ x3, x3*x1*x3, x1*x3*x1*x3 ]
[ x1*x2*x3, x2, x1*x3*x1*x3 ]
[ x3, x2*x3*x1*x3, x1*x3*x1*x3 ]
[ x2*x3, x3*x1*x3, x1*x3*x1*x3 ]
[ x2*x3, x2, x1*x3*x1*x3 ]
[ x2*x3, x2*x3*x1*x3, x1*x3*x1*x3 ]
[ x3*x1*x3, x2, x1*x3*x1*x3 ]
[ x3, x3*x1*x3, x1*x3*x1*x3 ]
[ x1*x2*x3, x2, x1*x3*x1*x3 ]
[ x3, x2*x3*x1*x3, x1*x3*x1*x3 ]
[ x2*x3, x3*x1*x3, x1*x3*x1*x3 ]
[ x2*x3, x2, x1*x3*x1*x3 ]
[ x2*x3, x2*x3*x1*x3, x1*x3*x1*x3 ]
[ x3*x1*x3, x2, x1*x3*x1*x3 ]
[ x3, x3*x1*x3, x1*x3*x1*x3 ]
[ x1*x2*x3, x2, x1*x3*x1*x3 ]
[ x3, x2*x3*x1*x3, x1*x3*x1*x3 ]
[ x2*x3, x3*x1*x3, x1*x3*x1*x3 ]
[ x2*x3, x2, x1*x3*x1*x3 ]
[ x2*x3, x2*x3*x1*x3, x1*x3*x1*x3 ]
[ x3*x1*x3, x2, x1*x3*x1*x3 ]
[ x3, x3*x1*x3, x1*x3*x1*x3 ]
[ x1*x2*x3, x2, x1*x3*x1*x3 ]
[ x3, x2*x3*x1*x3, x1*x3*x1*x3 ]
[ x3, x1, x1*x3*x1*x3 ]
[ x3, x2, x1*x3*x1*x3 ]
[ x3, x1*x2, x1*x3*x1*x3 ]
[ x1, x2, x1*x3*x1*x3 ]
[ x2*x3, x1, x1*x3*x1*x3 ]
[ x3*x1, x2, x1*x3*x1*x3 ]
[ x2*x3, x1*x2, x1*x3*x1*x3 ]
[ x2*x3*x2, x1, x2*x3*x2*x3 ]
[ x2*x3*x2, x1*x3*x2*x3, x2*x3*x2*x3 ]
[ x2*x3*x2, x3*x2*x3, x2*x3*x2*x3 ]
[ x1, x1*x3*x2*x3, x2*x3*x2*x3 ]
[ x1*x3*x2, x1, x2*x3*x2*x3 ]
[ x1*x2*x3*x2, x1*x3*x2*x3, x2*x3*x2*x3 ]
[ x1*x3*x2, x3*x2*x3, x2*x3*x2*x3 ]
[ x3, x1, x2*x3*x2*x3 ]
[ x3, x1*x2, x2*x3*x2*x3 ]
[ x3, x2, x2*x3*x2*x3 ]
[ x1, x1*x2, x2*x3*x2*x3 ]
[ x1*x3*x2, x1, x2*x3*x2*x3 ]
[ x1*x3, x1*x2, x2*x3*x2*x3 ]
[ x1*x3*x2, x2, x2*x3*x2*x3 ]
[ x3, x1, x2*x3*x2*x3 ]
[ x3, x1*x2, x2*x3*x2*x3 ]
[ x3, x2, x2*x3*x2*x3 ]
[ x1, x1*x2, x2*x3*x2*x3 ]
[ x1*x3*x2, x1, x2*x3*x2*x3 ]
[ x1*x3, x1*x2, x2*x3*x2*x3 ]
[ x1*x3*x2, x2, x2*x3*x2*x3 ]
[ x3, x1, x2*x3*x2*x3 ]
[ x3, x1*x2, x2*x3*x2*x3 ]
[ x3, x2, x2*x3*x2*x3 ]
[ x1, x1*x2, x2*x3*x2*x3 ]
[ x1*x3*x2, x1, x2*x3*x2*x3 ]
[ x1*x3, x1*x2, x2*x3*x2*x3 ]
[ x1*x3*x2, x2, x2*x3*x2*x3 ]
[ x3, x1*x2*x1, x1*x2*x1*x2 ]
[ x3, x2*x1*x2, x1*x2*x1*x2 ]
[ x3, x2*x1, x1*x2*x1*x2 ]
[ x1*x2*x1, x2*x1*x2, x1*x2*x1*x2 ]
[ x2*x1*x2*x3, x1*x2*x1, x1*x2*x1*x2 ]
[ x1*x2*x1*x3, x2*x1*x2, x1*x2*x1*x2 ]
[ x2*x1*x2*x3, x2*x1, x1*x2*x1*x2 ]
[ x3, x2, x1*x2*x1*x2 ]
[ x3, x2*x1*x2, x1*x2*x1*x2 ]
[ x3, x1*x2, x1*x2*x1*x2 ]
[ x2, x2*x1*x2, x1*x2*x1*x2 ]
[ x2*x1*x2*x3, x2, x1*x2*x1*x2 ]
[ x2*x3, x2*x1*x2, x1*x2*x1*x2 ]
[ x2*x1*x2*x3, x1*x2, x1*x2*x1*x2 ]
[ x3, x1, x1^2 ]
[ x3, x2, x1^2 ]
[ x3, x1*x2, x1^2 ]
[ x1, x2, x1^2 ]
[ x2*x3, x1, x1^2 ]
[ x1^3*x3, x2, x1^2 ]
[ x2*x3, x1*x2, x1^2 ]
[ x3, x1, x3^2 ]
[ x3, x2, x3^2 ]
[ x3, x1*x2, x3^2 ]
[ x1, x2, x3^2 ]
[ x3*x2, x1, x3^2 ]
[ x1*x3, x2, x3^2 ]
[ x3*x2, x1*x2, x3^2 ]
[ x4, x3, x2, x3^2 ]
[ x4, x3, x1, x3^2 ]
[ x4, x3, x1*x2, x3^2 ]
[ x4, x2, x1, x3^2 ]
[ x4, x1*x3, x2, x3^2 ]
[ x4, x2*x3, x1, x3^2 ]
[ x4, x1*x3, x1*x2, x3^2 ]
[ x3, x2, x1, x3^2 ]
[ x1*x4, x3, x2, x3^2 ]
[ x2*x4, x3, x1, x3^2 ]
[ x1*x4, x3, x1*x2, x3^2 ]
[ x3*x4, x2, x1, x3^2 ]
[ x1*x4, x1*x3, x2, x3^2 ]
[ x2*x4, x2*x3, x1, x3^2 ]
[ x1*x4, x1*x3, x1*x2, x3^2 ]
[ x2*x4, x1^2*x3, x2, x1^2 ]
[ x2*x4, x1^2*x3, x1, x1^2 ]
[ x2*x4, x1^2*x3, x1*x2, x1^2 ]
[ x2*x4, x2, x1, x1^2 ]
[ x2*x4, x1^3*x3, x2, x1^2 ]
[ x2*x4, x1^2*x2*x3, x1, x1^2 ]
[ x2*x4, x1^3*x3, x1*x2, x1^2 ]
[ x1^2*x3, x2, x1, x1^2 ]
[ x1*x2*x4, x1^2*x3, x2, x1^2 ]
[ x4, x1^2*x3, x1, x1^2 ]
[ x1*x2*x4, x1^2*x3, x1*x2, x1^2 ]
[ x1^2*x2*x3*x4, x2, x1, x1^2 ]
[ x1*x2*x4, x1^3*x3, x2, x1^2 ]
[ x4, x1^2*x2*x3, x1, x1^2 ]
[ x1*x2*x4, x1^3*x3, x1*x2, x1^2 ]
[ x4, x1*x3, x2, x2^2 ]
[ x4, x1*x3, x1, x2^2 ]
[ x4, x1*x3, x1*x2, x2^2 ]
[ x4, x2, x1, x2^2 ]
[ x4, x3, x2, x2^2 ]
[ x4, x1*x2*x3, x1, x2^2 ]
[ x4, x3, x1*x2, x2^2 ]
[ x1*x3, x2, x1, x2^2 ]
[ x1*x4, x1*x3, x2, x2^2 ]
[ x2*x4, x1*x3, x1, x2^2 ]
[ x1*x4, x1*x3, x1*x2, x2^2 ]
[ x1*x3*x4, x2, x1, x2^2 ]
[ x1*x4, x3, x2, x2^2 ]
[ x2*x4, x1*x2*x3, x1, x2^2 ]
[ x1*x4, x3, x1*x2, x2^2 ]
[ x4, x3, x2, x3^2 ]
[ x4, x3, x1, x3^2 ]
[ x4, x3, x1*x2, x3^2 ]
[ x4, x2, x1, x3^2 ]
[ x4, x1*x3, x2, x3^2 ]
[ x4, x2*x3, x1, x3^2 ]
[ x4, x1*x3, x1*x2, x3^2 ]
[ x3, x2, x1, x3^2 ]
[ x1*x4, x3, x2, x3^2 ]
[ x2*x4, x3, x1, x3^2 ]
[ x1*x4, x3, x1*x2, x3^2 ]
[ x3*x4, x2, x1, x3^2 ]
[ x1*x4, x1*x3, x2, x3^2 ]
[ x2*x4, x2*x3, x1, x3^2 ]
[ x1*x4, x1*x3, x1*x2, x3^2 ]
[ x4, x3, x2, x4^2 ]
[ x4, x3, x1, x4^2 ]
[ x4, x3, x1*x2, x4^2 ]
[ x4, x2, x1, x4^2 ]
[ x4, x1*x3, x2, x4^2 ]
[ x4, x2*x3, x1, x4^2 ]
[ x4, x1*x3, x1*x2, x4^2 ]
[ x3, x2, x1, x4^2 ]
[ x1*x4, x3, x2, x4^2 ]
[ x2*x4, x3, x1, x4^2 ]
[ x1*x4, x3, x1*x2, x4^2 ]
[ x3*x4, x2, x1, x4^2 ]
[ x1*x4, x1*x3, x2, x4^2 ]
[ x2*x4, x2*x3, x1, x4^2 ]
[ x1*x4, x1*x3, x1*x2, x4^2 ]
[ x3*x4, x3, x2, x4^2 ]
[ x3*x4, x3, x1, x4^2 ]
[ x3*x4, x3, x1*x2, x4^2 ]
[ x3*x4, x2, x1, x4^2 ]
[ x3*x4, x1*x3, x2, x4^2 ]
[ x3*x4, x2*x3, x1, x4^2 ]
[ x3*x4, x1*x3, x1*x2, x4^2 ]
[ x3, x2, x1, x4^2 ]
[ x1*x3*x4, x3, x2, x4^2 ]
[ x2*x3*x4, x3, x1, x4^2 ]
[ x1*x3*x4, x3, x1*x2, x4^2 ]
[ x4, x2, x1, x4^2 ]
[ x1*x3*x4, x1*x3, x2, x4^2 ]
[ x2*x3*x4, x2*x3, x1, x4^2 ]
[ x1*x3*x4, x1*x3, x1*x2, x4^2 ]
[ x4, x3, x2, x4^2 ]
[ x4, x3, x1, x4^2 ]
[ x4, x3, x1*x2, x4^2 ]
[ x4, x2, x1, x4^2 ]
[ x4, x1*x3, x2, x4^2 ]
[ x4, x2*x3, x1, x4^2 ]
[ x4, x1*x3, x1*x2, x4^2 ]
[ x3, x2, x1, x4^2 ]
[ x1*x4, x3, x2, x4^2 ]
[ x2*x4, x3, x1, x4^2 ]
[ x1*x4, x3, x1*x2, x4^2 ]
[ x3*x4, x2, x1, x4^2 ]
[ x1*x4, x1*x3, x2, x4^2 ]
[ x2*x4, x2*x3, x1, x4^2 ]
[ x1*x4, x1*x3, x1*x2, x4^2 ]
[ x1*x2*x3*x1*x3*x4, x3, x3*x1*x3, x1*x3*x1*x3 ]
[ x1*x2*x3*x1*x3*x4, x3, x2, x1*x3*x1*x3 ]
[ x1*x2*x3*x1*x3*x4, x3, x2*x3*x1*x3, x1*x3*x1*x3 ]
[ x1*x2*x3*x1*x3*x4, x3*x1*x3, x2, x1*x3*x1*x3 ]
[ x1*x2*x3*x1*x3*x4, x2*x3, x3*x1*x3, x1*x3*x1*x3 ]
[ x1*x2*x3*x1*x3*x4, x1*x3, x2, x1*x3*x1*x3 ]
[ x1*x2*x3*x1*x3*x4, x2*x3, x2*x3*x1*x3, x1*x3*x1*x3 ]
[ x3, x3*x1*x3, x2, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x4, x3, x3*x1*x3, x1*x3*x1*x3 ]
[ x1*x2*x4, x3, x2, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x4, x3, x2*x3*x1*x3, x1*x3*x1*x3 ]
[ x1*x2*x3*x1*x4, x3*x1*x3, x2, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x4, x2*x3, x3*x1*x3, x1*x3*x1*x3 ]
[ x1*x2*x4, x1*x3, x2, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x4, x2*x3, x2*x3*x1*x3, x1*x3*x1*x3 ]
[ x4, x2*x3, x3*x1*x3, x1*x3*x1*x3 ]
[ x4, x2*x3, x2, x1*x3*x1*x3 ]
[ x4, x2*x3, x2*x3*x1*x3, x1*x3*x1*x3 ]
[ x4, x3*x1*x3, x2, x1*x3*x1*x3 ]
[ x4, x3, x3*x1*x3, x1*x3*x1*x3 ]
[ x4, x1*x2*x3, x2, x1*x3*x1*x3 ]
[ x4, x3, x2*x3*x1*x3, x1*x3*x1*x3 ]
[ x2*x3, x3*x1*x3, x2, x1*x3*x1*x3 ]
[ x2*x4, x2*x3, x3*x1*x3, x1*x3*x1*x3 ]
[ x3*x1*x3*x4, x2*x3, x2, x1*x3*x1*x3 ]
[ x2*x4, x2*x3, x2*x3*x1*x3, x1*x3*x1*x3 ]
[ x2*x3*x4, x3*x1*x3, x2, x1*x3*x1*x3 ]
[ x2*x4, x3, x3*x1*x3, x1*x3*x1*x3 ]
[ x3*x1*x3*x4, x1*x2*x3, x2, x1*x3*x1*x3 ]
[ x2*x4, x3, x2*x3*x1*x3, x1*x3*x1*x3 ]
[ x4, x1*x2*x1*x2*x3, x2, x1*x2*x1*x2 ]
[ x4, x1*x2*x1*x2*x3, x2*x1*x2, x1*x2*x1*x2 ]
[ x4, x1*x2*x1*x2*x3, x1*x2, x1*x2*x1*x2 ]
[ x4, x2, x2*x1*x2, x1*x2*x1*x2 ]
[ x4, x1*x3, x2, x1*x2*x1*x2 ]
[ x4, x1*x2*x1*x3, x2*x1*x2, x1*x2*x1*x2 ]
[ x4, x1*x3, x1*x2, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x3, x2, x2*x1*x2, x1*x2*x1*x2 ]
[ x2*x1*x2*x4, x1*x2*x1*x2*x3, x2, x1*x2*x1*x2 ]
[ x2*x4, x1*x2*x1*x2*x3, x2*x1*x2, x1*x2*x1*x2 ]
[ x2*x1*x2*x4, x1*x2*x1*x2*x3, x1*x2, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x3*x4, x2, x2*x1*x2, x1*x2*x1*x2 ]
[ x2*x1*x2*x4, x1*x3, x2, x1*x2*x1*x2 ]
[ x2*x4, x1*x2*x1*x3, x2*x1*x2, x1*x2*x1*x2 ]
[ x2*x1*x2*x4, x1*x3, x1*x2, x1*x2*x1*x2 ]
[ x1*x4, x2*x3*x2, x1, x2*x3*x2*x3 ]
[ x1*x4, x2*x3*x2, x3*x2*x3, x2*x3*x2*x3 ]
[ x1*x4, x2*x3*x2, x1*x3*x2*x3, x2*x3*x2*x3 ]
[ x1*x4, x1, x3*x2*x3, x2*x3*x2*x3 ]
[ x1*x4, x3*x2, x1, x2*x3*x2*x3 ]
[ x1*x4, x1*x2*x3*x2, x3*x2*x3, x2*x3*x2*x3 ]
[ x1*x4, x3*x2, x1*x3*x2*x3, x2*x3*x2*x3 ]
[ x2*x3*x2, x1, x3*x2*x3, x2*x3*x2*x3 ]
[ x1*x3*x2*x3*x4, x2*x3*x2, x1, x2*x3*x2*x3 ]
[ x4, x2*x3*x2, x3*x2*x3, x2*x3*x2*x3 ]
[ x1*x3*x2*x3*x4, x2*x3*x2, x1*x3*x2*x3, x2*x3*x2*x3 ]
[ x1*x2*x3*x2*x4, x1, x3*x2*x3, x2*x3*x2*x3 ]
[ x1*x3*x2*x3*x4, x3*x2, x1, x2*x3*x2*x3 ]
[ x4, x1*x2*x3*x2, x3*x2*x3, x2*x3*x2*x3 ]
[ x1*x3*x2*x3*x4, x3*x2, x1*x3*x2*x3, x2*x3*x2*x3 ]
[ x1*x4, x3, x1, x2*x3*x2*x3 ]
[ x1*x4, x3, x3*x2*x3, x2*x3*x2*x3 ]
[ x1*x4, x3, x1*x3*x2*x3, x2*x3*x2*x3 ]
[ x1*x4, x1, x3*x2*x3, x2*x3*x2*x3 ]
[ x1*x4, x2*x3, x1, x2*x3*x2*x3 ]
[ x1*x4, x1*x3, x3*x2*x3, x2*x3*x2*x3 ]
[ x1*x4, x2*x3, x1*x3*x2*x3, x2*x3*x2*x3 ]
[ x3, x1, x3*x2*x3, x2*x3*x2*x3 ]
[ x1*x3*x2*x3*x4, x3, x1, x2*x3*x2*x3 ]
[ x4, x3, x3*x2*x3, x2*x3*x2*x3 ]
[ x1*x3*x2*x3*x4, x3, x1*x3*x2*x3, x2*x3*x2*x3 ]
[ x1*x3*x4, x1, x3*x2*x3, x2*x3*x2*x3 ]
[ x1*x3*x2*x3*x4, x2*x3, x1, x2*x3*x2*x3 ]
[ x4, x1*x3, x3*x2*x3, x2*x3*x2*x3 ]
[ x1*x3*x2*x3*x4, x2*x3, x1*x3*x2*x3, x2*x3*x2*x3 ]
[ x3*x4*x3, x1, x2, x3*x4*x3*x4 ]
[ x3*x4*x3, x1, x2*x4*x3*x4, x3*x4*x3*x4 ]
[ x3*x4*x3, x1, x4*x3*x4, x3*x4*x3*x4 ]
[ x3*x4*x3, x2, x2*x4*x3*x4, x3*x4*x3*x4 ]
[ x3*x4*x3, x1*x2*x4*x3*x4, x2, x3*x4*x3*x4 ]
[ x3*x4*x3, x1*x2, x2*x4*x3*x4, x3*x4*x3*x4 ]
[ x3*x4*x3, x1*x2*x4*x3*x4, x4*x3*x4, x3*x4*x3*x4 ]
[ x1, x2, x2*x4*x3*x4, x3*x4*x3*x4 ]
[ x2*x4*x3, x1, x2, x3*x4*x3*x4 ]
[ x2*x3*x4*x3, x1, x2*x4*x3*x4, x3*x4*x3*x4 ]
[ x2*x4*x3, x1, x4*x3*x4, x3*x4*x3*x4 ]
[ x1*x3*x4*x3, x2, x2*x4*x3*x4, x3*x4*x3*x4 ]
[ x2*x4*x3, x1*x2*x4*x3*x4, x2, x3*x4*x3*x4 ]
[ x2*x3*x4*x3, x1*x2, x2*x4*x3*x4, x3*x4*x3*x4 ]
[ x2*x4*x3, x1*x2*x4*x3*x4, x4*x3*x4, x3*x4*x3*x4 ]
[ x1*x3*x4*x3, x1, x2, x3*x4*x3*x4 ]
[ x1*x3*x4*x3, x1, x2*x4*x3*x4, x3*x4*x3*x4 ]
[ x1*x3*x4*x3, x1, x4*x3*x4, x3*x4*x3*x4 ]
[ x1*x3*x4*x3, x2, x2*x4*x3*x4, x3*x4*x3*x4 ]
[ x1*x3*x4*x3, x1*x2*x4*x3*x4, x2, x3*x4*x3*x4 ]
[ x1*x3*x4*x3, x1*x2, x2*x4*x3*x4, x3*x4*x3*x4 ]
[ x1*x3*x4*x3, x1*x2*x4*x3*x4, x4*x3*x4, x3*x4*x3*x4 ]
[ x1, x2, x2*x4*x3*x4, x3*x4*x3*x4 ]
[ x1*x2*x4*x3, x1, x2, x3*x4*x3*x4 ]
[ x1*x2*x3*x4*x3, x1, x2*x4*x3*x4, x3*x4*x3*x4 ]
[ x1*x2*x4*x3, x1, x4*x3*x4, x3*x4*x3*x4 ]
[ x3*x4*x3, x2, x2*x4*x3*x4, x3*x4*x3*x4 ]
[ x1*x2*x4*x3, x1*x2*x4*x3*x4, x2, x3*x4*x3*x4 ]
[ x1*x2*x3*x4*x3, x1*x2, x2*x4*x3*x4, x3*x4*x3*x4 ]
[ x1*x2*x4*x3, x1*x2*x4*x3*x4, x4*x3*x4, x3*x4*x3*x4 ]
[ x1*x3*x4*x3, x1, x2, x3*x4*x3*x4 ]
[ x1*x3*x4*x3, x1, x1*x2*x4*x3*x4, x3*x4*x3*x4 ]
[ x1*x3*x4*x3, x1, x1*x4*x3*x4, x3*x4*x3*x4 ]
[ x1*x3*x4*x3, x2, x1*x2*x4*x3*x4, x3*x4*x3*x4 ]
[ x1*x3*x4*x3, x2*x4*x3*x4, x2, x3*x4*x3*x4 ]
[ x1*x3*x4*x3, x1*x2, x1*x2*x4*x3*x4, x3*x4*x3*x4 ]
[ x1*x3*x4*x3, x2*x4*x3*x4, x1*x4*x3*x4, x3*x4*x3*x4 ]
[ x1, x2, x1*x2*x4*x3*x4, x3*x4*x3*x4 ]
[ x2*x4*x3, x1, x2, x3*x4*x3*x4 ]
[ x1*x2*x3*x4*x3, x1, x1*x2*x4*x3*x4, x3*x4*x3*x4 ]
[ x2*x4*x3, x1, x1*x4*x3*x4, x3*x4*x3*x4 ]
[ x3*x4*x3, x2, x1*x2*x4*x3*x4, x3*x4*x3*x4 ]
[ x2*x4*x3, x2*x4*x3*x4, x2, x3*x4*x3*x4 ]
[ x1*x2*x3*x4*x3, x1*x2, x1*x2*x4*x3*x4, x3*x4*x3*x4 ]
[ x2*x4*x3, x2*x4*x3*x4, x1*x4*x3*x4, x3*x4*x3*x4 ]
[ x3*x4*x3, x1, x2, x3*x4*x3*x4 ]
[ x3*x4*x3, x1, x1*x2*x4*x3*x4, x3*x4*x3*x4 ]
[ x3*x4*x3, x1, x1*x4*x3*x4, x3*x4*x3*x4 ]
[ x3*x4*x3, x2, x1*x2*x4*x3*x4, x3*x4*x3*x4 ]
[ x3*x4*x3, x2*x4*x3*x4, x2, x3*x4*x3*x4 ]
[ x3*x4*x3, x1*x2, x1*x2*x4*x3*x4, x3*x4*x3*x4 ]
[ x3*x4*x3, x2*x4*x3*x4, x1*x4*x3*x4, x3*x4*x3*x4 ]
[ x1, x2, x1*x2*x4*x3*x4, x3*x4*x3*x4 ]
[ x1*x2*x4*x3, x1, x2, x3*x4*x3*x4 ]
[ x2*x3*x4*x3, x1, x1*x2*x4*x3*x4, x3*x4*x3*x4 ]
[ x1*x2*x4*x3, x1, x1*x4*x3*x4, x3*x4*x3*x4 ]
[ x1*x3*x4*x3, x2, x1*x2*x4*x3*x4, x3*x4*x3*x4 ]
[ x1*x2*x4*x3, x2*x4*x3*x4, x2, x3*x4*x3*x4 ]
[ x2*x3*x4*x3, x1*x2, x1*x2*x4*x3*x4, x3*x4*x3*x4 ]
[ x1*x2*x4*x3, x2*x4*x3*x4, x1*x4*x3*x4, x3*x4*x3*x4 ]
[ x4, x1, x1*x2, x2*x4*x2*x4 ]
[ x4, x1, x3, x2*x4*x2*x4 ]
[ x4, x1, x1*x2*x3, x2*x4*x2*x4 ]
[ x4, x1*x2, x3, x2*x4*x2*x4 ]
[ x4, x1*x3, x1*x2, x2*x4*x2*x4 ]
[ x4, x2, x3, x2*x4*x2*x4 ]
[ x4, x1*x3, x1*x2*x3, x2*x4*x2*x4 ]
[ x1, x1*x2, x3, x2*x4*x2*x4 ]
[ x3*x4, x1, x1*x2, x2*x4*x2*x4 ]
[ x1*x4*x2, x1, x3, x2*x4*x2*x4 ]
[ x3*x4, x1, x1*x2*x3, x2*x4*x2*x4 ]
[ x1*x4, x1*x2, x3, x2*x4*x2*x4 ]
[ x3*x4, x1*x3, x1*x2, x2*x4*x2*x4 ]
[ x1*x4*x2, x2, x3, x2*x4*x2*x4 ]
[ x3*x4, x1*x3, x1*x2*x3, x2*x4*x2*x4 ]
[ x4, x1, x2, x3*x4*x3*x4 ]
[ x4, x1, x2*x3, x3*x4*x3*x4 ]
[ x4, x1, x3, x3*x4*x3*x4 ]
[ x4, x2, x2*x3, x3*x4*x3*x4 ]
[ x4, x1*x2*x3, x2, x3*x4*x3*x4 ]
[ x4, x1*x2, x2*x3, x3*x4*x3*x4 ]
[ x4, x1*x2*x3, x3, x3*x4*x3*x4 ]
[ x1, x2, x2*x3, x3*x4*x3*x4 ]
[ x2*x4*x3, x1, x2, x3*x4*x3*x4 ]
[ x2*x4, x1, x2*x3, x3*x4*x3*x4 ]
[ x2*x4*x3, x1, x3, x3*x4*x3*x4 ]
[ x1*x4, x2, x2*x3, x3*x4*x3*x4 ]
[ x2*x4*x3, x1*x2*x3, x2, x3*x4*x3*x4 ]
[ x2*x4, x1*x2, x2*x3, x3*x4*x3*x4 ]
[ x2*x4*x3, x1*x2*x3, x3, x3*x4*x3*x4 ]
[ x1*x4, x3, x1, x2*x3*x2*x3 ]
[ x1*x4, x3, x2, x2*x3*x2*x3 ]
[ x1*x4, x3, x1*x2, x2*x3*x2*x3 ]
[ x1*x4, x1, x2, x2*x3*x2*x3 ]
[ x1*x4, x3*x2, x1, x2*x3*x2*x3 ]
[ x1*x4, x1*x3, x2, x2*x3*x2*x3 ]
[ x1*x4, x3*x2, x1*x2, x2*x3*x2*x3 ]
[ x3, x1, x2, x2*x3*x2*x3 ]
[ x1*x2*x4, x3, x1, x2*x3*x2*x3 ]
[ x4, x3, x2, x2*x3*x2*x3 ]
[ x1*x2*x4, x3, x1*x2, x2*x3*x2*x3 ]
[ x1*x3*x4, x1, x2, x2*x3*x2*x3 ]
[ x1*x2*x4, x3*x2, x1, x2*x3*x2*x3 ]
[ x4, x1*x3, x2, x2*x3*x2*x3 ]
[ x1*x2*x4, x3*x2, x1*x2, x2*x3*x2*x3 ]
[ x1*x4, x3, x1, x2*x3*x2*x3 ]
[ x1*x4, x3, x2, x2*x3*x2*x3 ]
[ x1*x4, x3, x1*x2, x2*x3*x2*x3 ]
[ x1*x4, x1, x2, x2*x3*x2*x3 ]
[ x1*x4, x3*x2, x1, x2*x3*x2*x3 ]
[ x1*x4, x1*x3, x2, x2*x3*x2*x3 ]
[ x1*x4, x3*x2, x1*x2, x2*x3*x2*x3 ]
[ x3, x1, x2, x2*x3*x2*x3 ]
[ x1*x2*x4, x3, x1, x2*x3*x2*x3 ]
[ x4, x3, x2, x2*x3*x2*x3 ]
[ x1*x2*x4, x3, x1*x2, x2*x3*x2*x3 ]
[ x1*x3*x4, x1, x2, x2*x3*x2*x3 ]
[ x1*x2*x4, x3*x2, x1, x2*x3*x2*x3 ]
[ x4, x1*x3, x2, x2*x3*x2*x3 ]
[ x1*x2*x4, x3*x2, x1*x2, x2*x3*x2*x3 ]
[ x4, x3, x2, x1*x2*x1*x2 ]
[ x4, x3, x2*x1*x2, x1*x2*x1*x2 ]
[ x4, x3, x1*x2, x1*x2*x1*x2 ]
[ x4, x2, x2*x1*x2, x1*x2*x1*x2 ]
[ x4, x2*x1*x2*x3, x2, x1*x2*x1*x2 ]
[ x4, x2*x3, x2*x1*x2, x1*x2*x1*x2 ]
[ x4, x2*x1*x2*x3, x1*x2, x1*x2*x1*x2 ]
[ x3, x2, x2*x1*x2, x1*x2*x1*x2 ]
[ x2*x1*x2*x4, x3, x2, x1*x2*x1*x2 ]
[ x2*x4, x3, x2*x1*x2, x1*x2*x1*x2 ]
[ x2*x1*x2*x4, x3, x1*x2, x1*x2*x1*x2 ]
[ x3*x4, x2, x2*x1*x2, x1*x2*x1*x2 ]
[ x2*x1*x2*x4, x2*x1*x2*x3, x2, x1*x2*x1*x2 ]
[ x2*x4, x2*x3, x2*x1*x2, x1*x2*x1*x2 ]
[ x2*x1*x2*x4, x2*x1*x2*x3, x1*x2, x1*x2*x1*x2 ]
[ x4, x3, x2, x1*x2*x1*x2 ]
[ x4, x3, x2*x1*x2, x1*x2*x1*x2 ]
[ x4, x3, x1*x2, x1*x2*x1*x2 ]
[ x4, x2, x2*x1*x2, x1*x2*x1*x2 ]
[ x4, x2*x1*x2*x3, x2, x1*x2*x1*x2 ]
[ x4, x2*x3, x2*x1*x2, x1*x2*x1*x2 ]
[ x4, x2*x1*x2*x3, x1*x2, x1*x2*x1*x2 ]
[ x3, x2, x2*x1*x2, x1*x2*x1*x2 ]
[ x2*x1*x2*x4, x3, x2, x1*x2*x1*x2 ]
[ x2*x4, x3, x2*x1*x2, x1*x2*x1*x2 ]
[ x2*x1*x2*x4, x3, x1*x2, x1*x2*x1*x2 ]
[ x3*x4, x2, x2*x1*x2, x1*x2*x1*x2 ]
[ x2*x1*x2*x4, x2*x1*x2*x3, x2, x1*x2*x1*x2 ]
[ x2*x4, x2*x3, x2*x1*x2, x1*x2*x1*x2 ]
[ x2*x1*x2*x4, x2*x1*x2*x3, x1*x2, x1*x2*x1*x2 ]
[ x4, x4*x1*x4, x2, x1*x4*x1*x4 ]
[ x4, x4*x1*x4, x3, x1*x4*x1*x4 ]
[ x4, x4*x1*x4, x2*x3, x1*x4*x1*x4 ]
[ x4, x2, x3, x1*x4*x1*x4 ]
[ x4, x3*x4*x1*x4, x2, x1*x4*x1*x4 ]
[ x4, x2*x4*x1*x4, x3, x1*x4*x1*x4 ]
[ x4, x3*x4*x1*x4, x2*x3, x1*x4*x1*x4 ]
[ x4*x1*x4, x2, x3, x1*x4*x1*x4 ]
[ x3*x4, x4*x1*x4, x2, x1*x4*x1*x4 ]
[ x2*x4, x4*x1*x4, x3, x1*x4*x1*x4 ]
[ x3*x4, x4*x1*x4, x2*x3, x1*x4*x1*x4 ]
[ x1*x4, x2, x3, x1*x4*x1*x4 ]
[ x3*x4, x3*x4*x1*x4, x2, x1*x4*x1*x4 ]
[ x2*x4, x2*x4*x1*x4, x3, x1*x4*x1*x4 ]
[ x3*x4, x3*x4*x1*x4, x2*x3, x1*x4*x1*x4 ]
[ x4, x1, x2, x3*x4*x3*x4 ]
[ x4, x1, x3, x3*x4*x3*x4 ]
[ x4, x1, x2*x3, x3*x4*x3*x4 ]
[ x4, x2, x3, x3*x4*x3*x4 ]
[ x4, x1*x3, x2, x3*x4*x3*x4 ]
[ x4, x1*x2, x3, x3*x4*x3*x4 ]
[ x4, x1*x3, x2*x3, x3*x4*x3*x4 ]
[ x1, x2, x3, x3*x4*x3*x4 ]
[ x4*x3, x1, x2, x3*x4*x3*x4 ]
[ x2*x4, x1, x3, x3*x4*x3*x4 ]
[ x4*x3, x1, x2*x3, x3*x4*x3*x4 ]
[ x1*x4, x2, x3, x3*x4*x3*x4 ]
[ x4*x3, x1*x3, x2, x3*x4*x3*x4 ]
[ x2*x4, x1*x2, x3, x3*x4*x3*x4 ]
[ x4*x3, x1*x3, x2*x3, x3*x4*x3*x4 ]
[ x4, x1, x2, x3*x4*x3*x4 ]
[ x4, x1, x3, x3*x4*x3*x4 ]
[ x4, x1, x2*x3, x3*x4*x3*x4 ]
[ x4, x2, x3, x3*x4*x3*x4 ]
[ x4, x1*x3, x2, x3*x4*x3*x4 ]
[ x4, x1*x2, x3, x3*x4*x3*x4 ]
[ x4, x1*x3, x2*x3, x3*x4*x3*x4 ]
[ x1, x2, x3, x3*x4*x3*x4 ]
[ x4*x3, x1, x2, x3*x4*x3*x4 ]
[ x2*x4, x1, x3, x3*x4*x3*x4 ]
[ x4*x3, x1, x2*x3, x3*x4*x3*x4 ]
[ x1*x4, x2, x3, x3*x4*x3*x4 ]
[ x4*x3, x1*x3, x2, x3*x4*x3*x4 ]
[ x2*x4, x1*x2, x3, x3*x4*x3*x4 ]
[ x4*x3, x1*x3, x2*x3, x3*x4*x3*x4 ]
[ x4, x1, x2, x4^2 ]
[ x4, x1, x3, x4^2 ]
[ x4, x1, x2*x3, x4^2 ]
[ x4, x2, x3, x4^2 ]
[ x4, x1*x3, x2, x4^2 ]
[ x4, x1*x2, x3, x4^2 ]
[ x4, x1*x3, x2*x3, x4^2 ]
[ x1, x2, x3, x4^2 ]
[ x3*x4, x1, x2, x4^2 ]
[ x2*x4, x1, x3, x4^2 ]
[ x3*x4, x1, x2*x3, x4^2 ]
[ x4*x1, x2, x3, x4^2 ]
[ x3*x4, x1*x3, x2, x4^2 ]
[ x2*x4, x1*x2, x3, x4^2 ]
[ x3*x4, x1*x3, x2*x3, x4^2 ]
[ x4, x1, x2, x4^2 ]
[ x4, x1, x3, x4^2 ]
[ x4, x1, x2*x3, x4^2 ]
[ x4, x2, x3, x4^2 ]
[ x4, x1*x3, x2, x4^2 ]
[ x4, x1*x2, x3, x4^2 ]
[ x4, x1*x3, x2*x3, x4^2 ]
[ x1, x2, x3, x4^2 ]
[ x3*x4, x1, x2, x4^2 ]
[ x4*x2, x1, x3, x4^2 ]
[ x3*x4, x1, x2*x3, x4^2 ]
[ x1*x4, x2, x3, x4^2 ]
[ x3*x4, x1*x3, x2, x4^2 ]
[ x4*x2, x1*x2, x3, x4^2 ]
[ x3*x4, x1*x3, x2*x3, x4^2 ]
[ x4, x1, x2, x3*x4*x3*x4 ]
[ x4, x1, x1*x3, x3*x4*x3*x4 ]
[ x4, x1, x1*x2*x3, x3*x4*x3*x4 ]
[ x4, x2, x1*x3, x3*x4*x3*x4 ]
[ x4, x3, x2, x3*x4*x3*x4 ]
[ x4, x1*x2, x1*x3, x3*x4*x3*x4 ]
[ x4, x3, x1*x2*x3, x3*x4*x3*x4 ]
[ x1, x2, x1*x3, x3*x4*x3*x4 ]
[ x1*x4*x3, x1, x2, x3*x4*x3*x4 ]
[ x2*x4, x1, x1*x3, x3*x4*x3*x4 ]
[ x1*x4*x3, x1, x1*x2*x3, x3*x4*x3*x4 ]
[ x1*x4, x2, x1*x3, x3*x4*x3*x4 ]
[ x1*x4*x3, x3, x2, x3*x4*x3*x4 ]
[ x2*x4, x1*x2, x1*x3, x3*x4*x3*x4 ]
[ x1*x4*x3, x3, x1*x2*x3, x3*x4*x3*x4 ]
[ x4, x1, x2, x2*x4*x2*x4 ]
[ x4, x1, x1*x3, x2*x4*x2*x4 ]
[ x4, x1, x1*x2*x3, x2*x4*x2*x4 ]
[ x4, x2, x1*x3, x2*x4*x2*x4 ]
[ x4, x3, x2, x2*x4*x2*x4 ]
[ x4, x1*x2, x1*x3, x2*x4*x2*x4 ]
[ x4, x3, x1*x2*x3, x2*x4*x2*x4 ]
[ x1, x2, x1*x3, x2*x4*x2*x4 ]
[ x1*x3*x4, x1, x2, x2*x4*x2*x4 ]
[ x4*x2, x1, x1*x3, x2*x4*x2*x4 ]
[ x1*x3*x4, x1, x1*x2*x3, x2*x4*x2*x4 ]
[ x1*x4, x2, x1*x3, x2*x4*x2*x4 ]
[ x1*x3*x4, x3, x2, x2*x4*x2*x4 ]
[ x4*x2, x1*x2, x1*x3, x2*x4*x2*x4 ]
[ x1*x3*x4, x3, x1*x2*x3, x2*x4*x2*x4 ]
[ x4, x1, x2, x3*x4*x3*x4 ]
[ x4, x1, x1*x2*x3, x3*x4*x3*x4 ]
[ x4, x1, x1*x3, x3*x4*x3*x4 ]
[ x4, x2, x1*x2*x3, x3*x4*x3*x4 ]
[ x4, x2*x3, x2, x3*x4*x3*x4 ]
[ x4, x1*x2, x1*x2*x3, x3*x4*x3*x4 ]
[ x4, x2*x3, x1*x3, x3*x4*x3*x4 ]
[ x1, x2, x1*x2*x3, x3*x4*x3*x4 ]
[ x1*x2*x4*x3, x1, x2, x3*x4*x3*x4 ]
[ x2*x4, x1, x1*x2*x3, x3*x4*x3*x4 ]
[ x1*x2*x4*x3, x1, x1*x3, x3*x4*x3*x4 ]
[ x1*x4, x2, x1*x2*x3, x3*x4*x3*x4 ]
[ x1*x2*x4*x3, x2*x3, x2, x3*x4*x3*x4 ]
[ x2*x4, x1*x2, x1*x2*x3, x3*x4*x3*x4 ]
[ x1*x2*x4*x3, x2*x3, x1*x3, x3*x4*x3*x4 ]
[ x2*x4, x3, x1, x1*x3*x1*x3 ]
[ x2*x4, x3, x2, x1*x3*x1*x3 ]
[ x2*x4, x3, x1*x2, x1*x3*x1*x3 ]
[ x2*x4, x1, x2, x1*x3*x1*x3 ]
[ x2*x4, x2*x3, x1, x1*x3*x1*x3 ]
[ x2*x4, x3*x1, x2, x1*x3*x1*x3 ]
[ x2*x4, x2*x3, x1*x2, x1*x3*x1*x3 ]
[ x3, x1, x2, x1*x3*x1*x3 ]
[ x4, x3, x1, x1*x3*x1*x3 ]
[ x1*x2*x4, x3, x2, x1*x3*x1*x3 ]
[ x4, x3, x1*x2, x1*x3*x1*x3 ]
[ x2*x3*x4, x1, x2, x1*x3*x1*x3 ]
[ x4, x2*x3, x1, x1*x3*x1*x3 ]
[ x1*x2*x4, x3*x1, x2, x1*x3*x1*x3 ]
[ x4, x2*x3, x1*x2, x1*x3*x1*x3 ]
[ x4, x1, x2, x3*x4*x3*x4 ]
[ x4, x1, x3, x3*x4*x3*x4 ]
[ x4, x1, x2*x3, x3*x4*x3*x4 ]
[ x4, x2, x3, x3*x4*x3*x4 ]
[ x4, x1*x3, x2, x3*x4*x3*x4 ]
[ x4, x1*x2, x3, x3*x4*x3*x4 ]
[ x4, x1*x3, x2*x3, x3*x4*x3*x4 ]
[ x1, x2, x3, x3*x4*x3*x4 ]
[ x4*x3, x1, x2, x3*x4*x3*x4 ]
[ x2*x4, x1, x3, x3*x4*x3*x4 ]
[ x4*x3, x1, x2*x3, x3*x4*x3*x4 ]
[ x1*x4, x2, x3, x3*x4*x3*x4 ]
[ x4*x3, x1*x3, x2, x3*x4*x3*x4 ]
[ x2*x4, x1*x2, x3, x3*x4*x3*x4 ]
[ x4*x3, x1*x3, x2*x3, x3*x4*x3*x4 ]
[ x4, x1, x2, x4^2 ]
[ x4, x1, x3, x4^2 ]
[ x4, x1, x2*x3, x4^2 ]
[ x4, x2, x3, x4^2 ]
[ x4, x1*x3, x2, x4^2 ]
[ x4, x1*x2, x3, x4^2 ]
[ x4, x1*x3, x2*x3, x4^2 ]
[ x1, x2, x3, x4^2 ]
[ x3*x4, x1, x2, x4^2 ]
[ x2*x4, x1, x3, x4^2 ]
[ x3*x4, x1, x2*x3, x4^2 ]
[ x4*x1, x2, x3, x4^2 ]
[ x3*x4, x1*x3, x2, x4^2 ]
[ x2*x4, x1*x2, x3, x4^2 ]
[ x3*x4, x1*x3, x2*x3, x4^2 ]
[ x4, x2*x3*x2, x1, x2*x3*x2*x3 ]
[ x4, x2*x3*x2, x1*x3*x2*x3, x2*x3*x2*x3 ]
[ x4, x2*x3*x2, x3*x2*x3, x2*x3*x2*x3 ]
[ x4, x1, x1*x3*x2*x3, x2*x3*x2*x3 ]
[ x4, x1*x3*x2, x1, x2*x3*x2*x3 ]
[ x4, x1*x2*x3*x2, x1*x3*x2*x3, x2*x3*x2*x3 ]
[ x4, x1*x3*x2, x3*x2*x3, x2*x3*x2*x3 ]
[ x2*x3*x2, x1, x1*x3*x2*x3, x2*x3*x2*x3 ]
[ x1*x3*x2*x3*x4, x2*x3*x2, x1, x2*x3*x2*x3 ]
[ x1*x4, x2*x3*x2, x1*x3*x2*x3, x2*x3*x2*x3 ]
[ x1*x3*x2*x3*x4, x2*x3*x2, x3*x2*x3, x2*x3*x2*x3 ]
[ x2*x3*x2*x4, x1, x1*x3*x2*x3, x2*x3*x2*x3 ]
[ x1*x3*x2*x3*x4, x1*x3*x2, x1, x2*x3*x2*x3 ]
[ x1*x4, x1*x2*x3*x2, x1*x3*x2*x3, x2*x3*x2*x3 ]
[ x1*x3*x2*x3*x4, x1*x3*x2, x3*x2*x3, x2*x3*x2*x3 ]
[ x4, x2*x3*x2, x1, x2*x3*x2*x3 ]
[ x4, x2*x3*x2, x1*x3*x2*x3, x2*x3*x2*x3 ]
[ x4, x2*x3*x2, x3*x2*x3, x2*x3*x2*x3 ]
[ x4, x1, x1*x3*x2*x3, x2*x3*x2*x3 ]
[ x4, x1*x3*x2, x1, x2*x3*x2*x3 ]
[ x4, x1*x2*x3*x2, x1*x3*x2*x3, x2*x3*x2*x3 ]
[ x4, x1*x3*x2, x3*x2*x3, x2*x3*x2*x3 ]
[ x2*x3*x2, x1, x1*x3*x2*x3, x2*x3*x2*x3 ]
[ x1*x3*x2*x3*x4, x2*x3*x2, x1, x2*x3*x2*x3 ]
[ x1*x4, x2*x3*x2, x1*x3*x2*x3, x2*x3*x2*x3 ]
[ x1*x3*x2*x3*x4, x2*x3*x2, x3*x2*x3, x2*x3*x2*x3 ]
[ x2*x3*x2*x4, x1, x1*x3*x2*x3, x2*x3*x2*x3 ]
[ x1*x3*x2*x3*x4, x1*x3*x2, x1, x2*x3*x2*x3 ]
[ x1*x4, x1*x2*x3*x2, x1*x3*x2*x3, x2*x3*x2*x3 ]
[ x1*x3*x2*x3*x4, x1*x3*x2, x3*x2*x3, x2*x3*x2*x3 ]
[ x4, x3, x1, x2*x3*x2*x3 ]
[ x4, x3, x2, x2*x3*x2*x3 ]
[ x4, x3, x1*x2, x2*x3*x2*x3 ]
[ x4, x1, x2, x2*x3*x2*x3 ]
[ x4, x3*x2, x1, x2*x3*x2*x3 ]
[ x4, x1*x3, x2, x2*x3*x2*x3 ]
[ x4, x3*x2, x1*x2, x2*x3*x2*x3 ]
[ x3, x1, x2, x2*x3*x2*x3 ]
[ x2*x4, x3, x1, x2*x3*x2*x3 ]
[ x1*x4, x3, x2, x2*x3*x2*x3 ]
[ x2*x4, x3, x1*x2, x2*x3*x2*x3 ]
[ x3*x4, x1, x2, x2*x3*x2*x3 ]
[ x2*x4, x3*x2, x1, x2*x3*x2*x3 ]
[ x1*x4, x1*x3, x2, x2*x3*x2*x3 ]
[ x2*x4, x3*x2, x1*x2, x2*x3*x2*x3 ]
[ x1*x4, x3, x1, x3^2 ]
[ x1*x4, x3, x2, x3^2 ]
[ x1*x4, x3, x1*x2, x3^2 ]
[ x1*x4, x1, x2, x3^2 ]
[ x1*x4, x3*x2, x1, x3^2 ]
[ x1*x4, x1*x3, x2, x3^2 ]
[ x1*x4, x3*x2, x1*x2, x3^2 ]
[ x3, x1, x2, x3^2 ]
[ x1*x2*x4, x3, x1, x3^2 ]
[ x4, x3, x2, x3^2 ]
[ x1*x2*x4, x3, x1*x2, x3^2 ]
[ x1*x3*x4, x1, x2, x3^2 ]
[ x1*x2*x4, x3*x2, x1, x3^2 ]
[ x4, x1*x3, x2, x3^2 ]
[ x1*x2*x4, x3*x2, x1*x2, x3^2 ]
[ x4*x5, x4, x3, x2, x3^2 ]
[ x4*x5, x4, x3, x1, x3^2 ]
[ x4*x5, x4, x3, x1*x2, x3^2 ]
[ x4*x5, x4, x2, x1, x3^2 ]
[ x4*x5, x4, x1*x3, x2, x3^2 ]
[ x4*x5, x4, x2*x3, x1, x3^2 ]
[ x4*x5, x4, x1*x3, x1*x2, x3^2 ]
[ x4*x5, x3, x2, x1, x3^2 ]
[ x4*x5, x1*x4, x3, x2, x3^2 ]
[ x4*x5, x2*x4, x3, x1, x3^2 ]
[ x4*x5, x1*x4, x3, x1*x2, x3^2 ]
[ x4*x5, x3*x4, x2, x1, x3^2 ]
[ x4*x5, x1*x4, x1*x3, x2, x3^2 ]
[ x4*x5, x2*x4, x2*x3, x1, x3^2 ]
[ x4*x5, x1*x4, x1*x3, x1*x2, x3^2 ]
[ x4, x3, x2, x1, x3^2 ]
[ x1*x4*x5, x4, x3, x2, x3^2 ]
[ x2*x4*x5, x4, x3, x1, x3^2 ]
[ x1*x4*x5, x4, x3, x1*x2, x3^2 ]
[ x3*x4*x5, x4, x2, x1, x3^2 ]
[ x1*x4*x5, x4, x1*x3, x2, x3^2 ]
[ x2*x4*x5, x4, x2*x3, x1, x3^2 ]
[ x1*x4*x5, x4, x1*x3, x1*x2, x3^2 ]
[ x5, x3, x2, x1, x3^2 ]
[ x1*x4*x5, x1*x4, x3, x2, x3^2 ]
[ x2*x4*x5, x2*x4, x3, x1, x3^2 ]
[ x1*x4*x5, x1*x4, x3, x1*x2, x3^2 ]
[ x3*x4*x5, x3*x4, x2, x1, x3^2 ]
[ x1*x4*x5, x1*x4, x1*x3, x2, x3^2 ]
[ x2*x4*x5, x2*x4, x2*x3, x1, x3^2 ]
[ x1*x4*x5, x1*x4, x1*x3, x1*x2, x3^2 ]
[ x1*x5, x3*x4*x3, x1, x2, x3*x4*x3*x4 ]
[ x1*x5, x3*x4*x3, x1, x2*x4*x3*x4, x3*x4*x3*x4 ]
[ x1*x5, x3*x4*x3, x1, x4*x3*x4, x3*x4*x3*x4 ]
[ x1*x5, x3*x4*x3, x2, x2*x4*x3*x4, x3*x4*x3*x4 ]
[ x1*x5, x3*x4*x3, x1*x2*x4*x3*x4, x2, x3*x4*x3*x4 ]
[ x1*x5, x3*x4*x3, x1*x2, x2*x4*x3*x4, x3*x4*x3*x4 ]
[ x1*x5, x3*x4*x3, x1*x2*x4*x3*x4, x4*x3*x4, x3*x4*x3*x4 ]
[ x1*x5, x1, x2, x2*x4*x3*x4, x3*x4*x3*x4 ]
[ x1*x5, x2*x4*x3, x1, x2, x3*x4*x3*x4 ]
[ x1*x5, x2*x3*x4*x3, x1, x2*x4*x3*x4, x3*x4*x3*x4 ]
[ x1*x5, x2*x4*x3, x1, x4*x3*x4, x3*x4*x3*x4 ]
[ x1*x5, x1*x3*x4*x3, x2, x2*x4*x3*x4, x3*x4*x3*x4 ]
[ x1*x5, x2*x4*x3, x1*x2*x4*x3*x4, x2, x3*x4*x3*x4 ]
[ x1*x5, x2*x3*x4*x3, x1*x2, x2*x4*x3*x4, x3*x4*x3*x4 ]
[ x1*x5, x2*x4*x3, x1*x2*x4*x3*x4, x4*x3*x4, x3*x4*x3*x4 ]
[ x3*x4*x3, x1, x2, x2*x4*x3*x4, x3*x4*x3*x4 ]
[ x1*x2*x4*x3*x4*x5, x3*x4*x3, x1, x2, x3*x4*x3*x4 ]
[ x1*x2*x5, x3*x4*x3, x1, x2*x4*x3*x4, x3*x4*x3*x4 ]
[ x1*x2*x4*x3*x4*x5, x3*x4*x3, x1, x4*x3*x4, x3*x4*x3*x4 ]
[ x5, x3*x4*x3, x2, x2*x4*x3*x4, x3*x4*x3*x4 ]
[ x1*x2*x4*x3*x4*x5, x3*x4*x3, x1*x2*x4*x3*x4, x2, x3*x4*x3*x4 ]
[ x1*x2*x5, x3*x4*x3, x1*x2, x2*x4*x3*x4, x3*x4*x3*x4 ]
[ x1*x2*x4*x3*x4*x5, x3*x4*x3, x1*x2*x4*x3*x4, x4*x3*x4, x3*x4*x3*x4 ]
[ x1*x3*x4*x3*x5, x1, x2, x2*x4*x3*x4, x3*x4*x3*x4 ]
[ x1*x2*x4*x3*x4*x5, x2*x4*x3, x1, x2, x3*x4*x3*x4 ]
[ x1*x2*x5, x2*x3*x4*x3, x1, x2*x4*x3*x4, x3*x4*x3*x4 ]
[ x1*x2*x4*x3*x4*x5, x2*x4*x3, x1, x4*x3*x4, x3*x4*x3*x4 ]
[ x5, x1*x3*x4*x3, x2, x2*x4*x3*x4, x3*x4*x3*x4 ]
[ x1*x2*x4*x3*x4*x5, x2*x4*x3, x1*x2*x4*x3*x4, x2, x3*x4*x3*x4 ]
[ x1*x2*x5, x2*x3*x4*x3, x1*x2, x2*x4*x3*x4, x3*x4*x3*x4 ]
[ x1*x2*x4*x3*x4*x5, x2*x4*x3, x1*x2*x4*x3*x4, x4*x3*x4, x3*x4*x3*x4 ]
[ x5, x5*x1*x5, x2, x3, x1*x5*x1*x5 ]
[ x5, x5*x1*x5, x2, x2*x3*x4, x1*x5*x1*x5 ]
[ x5, x5*x1*x5, x2, x2*x4, x1*x5*x1*x5 ]
[ x5, x5*x1*x5, x3, x2*x3*x4, x1*x5*x1*x5 ]
[ x5, x5*x1*x5, x3*x4, x3, x1*x5*x1*x5 ]
[ x5, x5*x1*x5, x2*x3, x2*x3*x4, x1*x5*x1*x5 ]
[ x5, x5*x1*x5, x3*x4, x2*x4, x1*x5*x1*x5 ]
[ x5, x2, x3, x2*x3*x4, x1*x5*x1*x5 ]
[ x5, x2*x3*x4*x5*x1*x5, x2, x3, x1*x5*x1*x5 ]
[ x5, x3*x5*x1*x5, x2, x2*x3*x4, x1*x5*x1*x5 ]
[ x5, x2*x3*x4*x5*x1*x5, x2, x2*x4, x1*x5*x1*x5 ]
[ x5, x2*x5*x1*x5, x3, x2*x3*x4, x1*x5*x1*x5 ]
[ x5, x2*x3*x4*x5*x1*x5, x3*x4, x3, x1*x5*x1*x5 ]
[ x5, x3*x5*x1*x5, x2*x3, x2*x3*x4, x1*x5*x1*x5 ]
[ x5, x2*x3*x4*x5*x1*x5, x3*x4, x2*x4, x1*x5*x1*x5 ]
[ x5*x1*x5, x2, x3, x2*x3*x4, x1*x5*x1*x5 ]
[ x2*x3*x4*x5, x5*x1*x5, x2, x3, x1*x5*x1*x5 ]
[ x3*x5, x5*x1*x5, x2, x2*x3*x4, x1*x5*x1*x5 ]
[ x2*x3*x4*x5, x5*x1*x5, x2, x2*x4, x1*x5*x1*x5 ]
[ x2*x5, x5*x1*x5, x3, x2*x3*x4, x1*x5*x1*x5 ]
[ x2*x3*x4*x5, x5*x1*x5, x3*x4, x3, x1*x5*x1*x5 ]
[ x3*x5, x5*x1*x5, x2*x3, x2*x3*x4, x1*x5*x1*x5 ]
[ x2*x3*x4*x5, x5*x1*x5, x3*x4, x2*x4, x1*x5*x1*x5 ]
[ x1*x5, x2, x3, x2*x3*x4, x1*x5*x1*x5 ]
[ x2*x3*x4*x5, x2*x3*x4*x5*x1*x5, x2, x3, x1*x5*x1*x5 ]
[ x3*x5, x3*x5*x1*x5, x2, x2*x3*x4, x1*x5*x1*x5 ]
[ x2*x3*x4*x5, x2*x3*x4*x5*x1*x5, x2, x2*x4, x1*x5*x1*x5 ]
[ x2*x5, x2*x5*x1*x5, x3, x2*x3*x4, x1*x5*x1*x5 ]
[ x2*x3*x4*x5, x2*x3*x4*x5*x1*x5, x3*x4, x3, x1*x5*x1*x5 ]
[ x3*x5, x3*x5*x1*x5, x2*x3, x2*x3*x4, x1*x5*x1*x5 ]
[ x2*x3*x4*x5, x2*x3*x4*x5*x1*x5, x3*x4, x2*x4, x1*x5*x1*x5 ]
[ x5, x4, x4*x1*x4, x2, x1*x4*x1*x4 ]
[ x5, x4, x4*x1*x4, x3, x1*x4*x1*x4 ]
[ x5, x4, x4*x1*x4, x2*x3, x1*x4*x1*x4 ]
[ x5, x4, x2, x3, x1*x4*x1*x4 ]
[ x5, x4, x3*x4*x1*x4, x2, x1*x4*x1*x4 ]
[ x5, x4, x2*x4*x1*x4, x3, x1*x4*x1*x4 ]
[ x5, x4, x3*x4*x1*x4, x2*x3, x1*x4*x1*x4 ]
[ x5, x4*x1*x4, x2, x3, x1*x4*x1*x4 ]
[ x5, x3*x4, x4*x1*x4, x2, x1*x4*x1*x4 ]
[ x5, x2*x4, x4*x1*x4, x3, x1*x4*x1*x4 ]
[ x5, x3*x4, x4*x1*x4, x2*x3, x1*x4*x1*x4 ]
[ x5, x1*x4, x2, x3, x1*x4*x1*x4 ]
[ x5, x3*x4, x3*x4*x1*x4, x2, x1*x4*x1*x4 ]
[ x5, x2*x4, x2*x4*x1*x4, x3, x1*x4*x1*x4 ]
[ x5, x3*x4, x3*x4*x1*x4, x2*x3, x1*x4*x1*x4 ]
[ x4, x4*x1*x4, x2, x3, x1*x4*x1*x4 ]
[ x3*x5, x4, x4*x1*x4, x2, x1*x4*x1*x4 ]
[ x2*x5, x4, x4*x1*x4, x3, x1*x4*x1*x4 ]
[ x3*x5, x4, x4*x1*x4, x2*x3, x1*x4*x1*x4 ]
[ x4*x1*x4*x5, x4, x2, x3, x1*x4*x1*x4 ]
[ x3*x5, x4, x3*x4*x1*x4, x2, x1*x4*x1*x4 ]
[ x2*x5, x4, x2*x4*x1*x4, x3, x1*x4*x1*x4 ]
[ x3*x5, x4, x3*x4*x1*x4, x2*x3, x1*x4*x1*x4 ]
[ x4*x5, x4*x1*x4, x2, x3, x1*x4*x1*x4 ]
[ x3*x5, x3*x4, x4*x1*x4, x2, x1*x4*x1*x4 ]
[ x2*x5, x2*x4, x4*x1*x4, x3, x1*x4*x1*x4 ]
[ x3*x5, x3*x4, x4*x1*x4, x2*x3, x1*x4*x1*x4 ]
[ x4*x1*x4*x5, x1*x4, x2, x3, x1*x4*x1*x4 ]
[ x3*x5, x3*x4, x3*x4*x1*x4, x2, x1*x4*x1*x4 ]
[ x2*x5, x2*x4, x2*x4*x1*x4, x3, x1*x4*x1*x4 ]
[ x3*x5, x3*x4, x3*x4*x1*x4, x2*x3, x1*x4*x1*x4 ]
[ x5, x1, x2, x3, x2*x5*x2*x5 ]
[ x5, x1, x2, x1*x3*x4, x2*x5*x2*x5 ]
[ x5, x1, x2, x1*x4, x2*x5*x2*x5 ]
[ x5, x1, x3, x1*x3*x4, x2*x5*x2*x5 ]
[ x5, x1, x1*x2*x3*x4, x3, x2*x5*x2*x5 ]
[ x5, x1, x2*x3, x1*x3*x4, x2*x5*x2*x5 ]
[ x5, x1, x1*x2*x3*x4, x1*x4, x2*x5*x2*x5 ]
[ x5, x2, x3, x1*x3*x4, x2*x5*x2*x5 ]
[ x5, x3*x4, x2, x3, x2*x5*x2*x5 ]
[ x5, x1*x3, x2, x1*x3*x4, x2*x5*x2*x5 ]
[ x5, x3*x4, x2, x1*x4, x2*x5*x2*x5 ]
[ x5, x1*x2, x3, x1*x3*x4, x2*x5*x2*x5 ]
[ x5, x3*x4, x1*x2*x3*x4, x3, x2*x5*x2*x5 ]
[ x5, x1*x3, x2*x3, x1*x3*x4, x2*x5*x2*x5 ]
[ x5, x3*x4, x1*x2*x3*x4, x1*x4, x2*x5*x2*x5 ]
[ x1, x2, x3, x1*x3*x4, x2*x5*x2*x5 ]
[ x1*x3*x4*x5, x1, x2, x3, x2*x5*x2*x5 ]
[ x3*x5, x1, x2, x1*x3*x4, x2*x5*x2*x5 ]
[ x1*x3*x4*x5, x1, x2, x1*x4, x2*x5*x2*x5 ]
[ x5*x2, x1, x3, x1*x3*x4, x2*x5*x2*x5 ]
[ x1*x3*x4*x5, x1, x1*x2*x3*x4, x3, x2*x5*x2*x5 ]
[ x3*x5, x1, x2*x3, x1*x3*x4, x2*x5*x2*x5 ]
[ x1*x3*x4*x5, x1, x1*x2*x3*x4, x1*x4, x2*x5*x2*x5 ]
[ x1*x5, x2, x3, x1*x3*x4, x2*x5*x2*x5 ]
[ x1*x3*x4*x5, x3*x4, x2, x3, x2*x5*x2*x5 ]
[ x3*x5, x1*x3, x2, x1*x3*x4, x2*x5*x2*x5 ]
[ x1*x3*x4*x5, x3*x4, x2, x1*x4, x2*x5*x2*x5 ]
[ x5*x2, x1*x2, x3, x1*x3*x4, x2*x5*x2*x5 ]
[ x1*x3*x4*x5, x3*x4, x1*x2*x3*x4, x3, x2*x5*x2*x5 ]
[ x3*x5, x1*x3, x2*x3, x1*x3*x4, x2*x5*x2*x5 ]
[ x1*x3*x4*x5, x3*x4, x1*x2*x3*x4, x1*x4, x2*x5*x2*x5 ]
[ x5, x4, x1, x2, x4^2 ]
[ x5, x4, x1, x3, x4^2 ]
[ x5, x4, x1, x2*x3, x4^2 ]
[ x5, x4, x2, x3, x4^2 ]
[ x5, x4, x1*x3, x2, x4^2 ]
[ x5, x4, x1*x2, x3, x4^2 ]
[ x5, x4, x1*x3, x2*x3, x4^2 ]
[ x5, x1, x2, x3, x4^2 ]
[ x5, x3*x4, x1, x2, x4^2 ]
[ x5, x2*x4, x1, x3, x4^2 ]
[ x5, x3*x4, x1, x2*x3, x4^2 ]
[ x5, x4*x1, x2, x3, x4^2 ]
[ x5, x3*x4, x1*x3, x2, x4^2 ]
[ x5, x2*x4, x1*x2, x3, x4^2 ]
[ x5, x3*x4, x1*x3, x2*x3, x4^2 ]
[ x4, x1, x2, x3, x4^2 ]
[ x3*x5, x4, x1, x2, x4^2 ]
[ x2*x5, x4, x1, x3, x4^2 ]
[ x3*x5, x4, x1, x2*x3, x4^2 ]
[ x1*x5, x4, x2, x3, x4^2 ]
[ x3*x5, x4, x1*x3, x2, x4^2 ]
[ x2*x5, x4, x1*x2, x3, x4^2 ]
[ x3*x5, x4, x1*x3, x2*x3, x4^2 ]
[ x4*x5, x1, x2, x3, x4^2 ]
[ x3*x5, x3*x4, x1, x2, x4^2 ]
[ x2*x5, x2*x4, x1, x3, x4^2 ]
[ x3*x5, x3*x4, x1, x2*x3, x4^2 ]
[ x1*x5, x4*x1, x2, x3, x4^2 ]
[ x3*x5, x3*x4, x1*x3, x2, x4^2 ]
[ x2*x5, x2*x4, x1*x2, x3, x4^2 ]
[ x3*x5, x3*x4, x1*x3, x2*x3, x4^2 ]
[ x5, x1, x2, x3, x3*x5*x3*x5 ]
[ x5, x1, x2, x4, x3*x5*x3*x5 ]
[ x5, x1, x2, x3*x4, x3*x5*x3*x5 ]
[ x5, x1, x3, x4, x3*x5*x3*x5 ]
[ x5, x1, x2*x4, x3, x3*x5*x3*x5 ]
[ x5, x1, x2*x3, x4, x3*x5*x3*x5 ]
[ x5, x1, x2*x4, x3*x4, x3*x5*x3*x5 ]
[ x5, x2, x3, x4, x3*x5*x3*x5 ]
[ x5, x1*x4, x2, x3, x3*x5*x3*x5 ]
[ x5, x1*x3, x2, x4, x3*x5*x3*x5 ]
[ x5, x1*x4, x2, x3*x4, x3*x5*x3*x5 ]
[ x5, x1*x2, x3, x4, x3*x5*x3*x5 ]
[ x5, x1*x4, x2*x4, x3, x3*x5*x3*x5 ]
[ x5, x1*x3, x2*x3, x4, x3*x5*x3*x5 ]
[ x5, x1*x4, x2*x4, x3*x4, x3*x5*x3*x5 ]
[ x1, x2, x3, x4, x3*x5*x3*x5 ]
[ x4*x5, x1, x2, x3, x3*x5*x3*x5 ]
[ x5*x3, x1, x2, x4, x3*x5*x3*x5 ]
[ x4*x5, x1, x2, x3*x4, x3*x5*x3*x5 ]
[ x2*x5, x1, x3, x4, x3*x5*x3*x5 ]
[ x4*x5, x1, x2*x4, x3, x3*x5*x3*x5 ]
[ x5*x3, x1, x2*x3, x4, x3*x5*x3*x5 ]
[ x4*x5, x1, x2*x4, x3*x4, x3*x5*x3*x5 ]
[ x1*x5, x2, x3, x4, x3*x5*x3*x5 ]
[ x4*x5, x1*x4, x2, x3, x3*x5*x3*x5 ]
[ x5*x3, x1*x3, x2, x4, x3*x5*x3*x5 ]
[ x4*x5, x1*x4, x2, x3*x4, x3*x5*x3*x5 ]
[ x2*x5, x1*x2, x3, x4, x3*x5*x3*x5 ]
[ x4*x5, x1*x4, x2*x4, x3, x3*x5*x3*x5 ]
[ x5*x3, x1*x3, x2*x3, x4, x3*x5*x3*x5 ]
[ x4*x5, x1*x4, x2*x4, x3*x4, x3*x5*x3*x5 ]
[ x2*x5, x4, x1, x2, x3*x4*x3*x4 ]
[ x2*x5, x4, x1, x1*x3, x3*x4*x3*x4 ]
[ x2*x5, x4, x1, x1*x2*x3, x3*x4*x3*x4 ]
[ x2*x5, x4, x2, x1*x3, x3*x4*x3*x4 ]
[ x2*x5, x4, x3, x2, x3*x4*x3*x4 ]
[ x2*x5, x4, x1*x2, x1*x3, x3*x4*x3*x4 ]
[ x2*x5, x4, x3, x1*x2*x3, x3*x4*x3*x4 ]
[ x2*x5, x1, x2, x1*x3, x3*x4*x3*x4 ]
[ x2*x5, x1*x4*x3, x1, x2, x3*x4*x3*x4 ]
[ x2*x5, x2*x4, x1, x1*x3, x3*x4*x3*x4 ]
[ x2*x5, x1*x4*x3, x1, x1*x2*x3, x3*x4*x3*x4 ]
[ x2*x5, x1*x4, x2, x1*x3, x3*x4*x3*x4 ]
[ x2*x5, x1*x4*x3, x3, x2, x3*x4*x3*x4 ]
[ x2*x5, x2*x4, x1*x2, x1*x3, x3*x4*x3*x4 ]
[ x2*x5, x1*x4*x3, x3, x1*x2*x3, x3*x4*x3*x4 ]
[ x4, x1, x2, x1*x3, x3*x4*x3*x4 ]
[ x1*x2*x3*x5, x4, x1, x2, x3*x4*x3*x4 ]
[ x5, x4, x1, x1*x3, x3*x4*x3*x4 ]
[ x1*x2*x3*x5, x4, x1, x1*x2*x3, x3*x4*x3*x4 ]
[ x1*x2*x5, x4, x2, x1*x3, x3*x4*x3*x4 ]
[ x1*x2*x3*x5, x4, x3, x2, x3*x4*x3*x4 ]
[ x5, x4, x1*x2, x1*x3, x3*x4*x3*x4 ]
[ x1*x2*x3*x5, x4, x3, x1*x2*x3, x3*x4*x3*x4 ]
[ x2*x4*x5, x1, x2, x1*x3, x3*x4*x3*x4 ]
[ x1*x2*x3*x5, x1*x4*x3, x1, x2, x3*x4*x3*x4 ]
[ x5, x2*x4, x1, x1*x3, x3*x4*x3*x4 ]
[ x1*x2*x3*x5, x1*x4*x3, x1, x1*x2*x3, x3*x4*x3*x4 ]
[ x1*x2*x5, x1*x4, x2, x1*x3, x3*x4*x3*x4 ]
[ x1*x2*x3*x5, x1*x4*x3, x3, x2, x3*x4*x3*x4 ]
[ x5, x2*x4, x1*x2, x1*x3, x3*x4*x3*x4 ]
[ x1*x2*x3*x5, x1*x4*x3, x3, x1*x2*x3, x3*x4*x3*x4 ]
[ x5, x5*x1*x5, x2, x3, x1*x5*x1*x5 ]
[ x5, x5*x1*x5, x2, x4, x1*x5*x1*x5 ]
[ x5, x5*x1*x5, x2, x3*x4, x1*x5*x1*x5 ]
[ x5, x5*x1*x5, x3, x4, x1*x5*x1*x5 ]
[ x5, x5*x1*x5, x2*x4, x3, x1*x5*x1*x5 ]
[ x5, x5*x1*x5, x2*x3, x4, x1*x5*x1*x5 ]
[ x5, x5*x1*x5, x2*x4, x3*x4, x1*x5*x1*x5 ]
[ x5, x2, x3, x4, x1*x5*x1*x5 ]
[ x5, x4*x5*x1*x5, x2, x3, x1*x5*x1*x5 ]
[ x5, x3*x5*x1*x5, x2, x4, x1*x5*x1*x5 ]
[ x5, x4*x5*x1*x5, x2, x3*x4, x1*x5*x1*x5 ]
[ x5, x2*x5*x1*x5, x3, x4, x1*x5*x1*x5 ]
[ x5, x4*x5*x1*x5, x2*x4, x3, x1*x5*x1*x5 ]
[ x5, x3*x5*x1*x5, x2*x3, x4, x1*x5*x1*x5 ]
[ x5, x4*x5*x1*x5, x2*x4, x3*x4, x1*x5*x1*x5 ]
[ x5*x1*x5, x2, x3, x4, x1*x5*x1*x5 ]
[ x4*x5, x5*x1*x5, x2, x3, x1*x5*x1*x5 ]
[ x3*x5, x5*x1*x5, x2, x4, x1*x5*x1*x5 ]
[ x4*x5, x5*x1*x5, x2, x3*x4, x1*x5*x1*x5 ]
[ x2*x5, x5*x1*x5, x3, x4, x1*x5*x1*x5 ]
[ x4*x5, x5*x1*x5, x2*x4, x3, x1*x5*x1*x5 ]
[ x3*x5, x5*x1*x5, x2*x3, x4, x1*x5*x1*x5 ]
[ x4*x5, x5*x1*x5, x2*x4, x3*x4, x1*x5*x1*x5 ]
[ x1*x5, x2, x3, x4, x1*x5*x1*x5 ]
[ x4*x5, x4*x5*x1*x5, x2, x3, x1*x5*x1*x5 ]
[ x3*x5, x3*x5*x1*x5, x2, x4, x1*x5*x1*x5 ]
[ x4*x5, x4*x5*x1*x5, x2, x3*x4, x1*x5*x1*x5 ]
[ x2*x5, x2*x5*x1*x5, x3, x4, x1*x5*x1*x5 ]
[ x4*x5, x4*x5*x1*x5, x2*x4, x3, x1*x5*x1*x5 ]
[ x3*x5, x3*x5*x1*x5, x2*x3, x4, x1*x5*x1*x5 ]
[ x4*x5, x4*x5*x1*x5, x2*x4, x3*x4, x1*x5*x1*x5 ]
[ x5, x5*x1*x5, x2, x3, x1*x5*x1*x5 ]
[ x5, x5*x1*x5, x2, x4, x1*x5*x1*x5 ]
[ x5, x5*x1*x5, x2, x3*x4, x1*x5*x1*x5 ]
[ x5, x5*x1*x5, x3, x4, x1*x5*x1*x5 ]
[ x5, x5*x1*x5, x2*x4, x3, x1*x5*x1*x5 ]
[ x5, x5*x1*x5, x2*x3, x4, x1*x5*x1*x5 ]
[ x5, x5*x1*x5, x2*x4, x3*x4, x1*x5*x1*x5 ]
[ x5, x2, x3, x4, x1*x5*x1*x5 ]
[ x5, x4*x5*x1*x5, x2, x3, x1*x5*x1*x5 ]
[ x5, x3*x5*x1*x5, x2, x4, x1*x5*x1*x5 ]
[ x5, x4*x5*x1*x5, x2, x3*x4, x1*x5*x1*x5 ]
[ x5, x2*x5*x1*x5, x3, x4, x1*x5*x1*x5 ]
[ x5, x4*x5*x1*x5, x2*x4, x3, x1*x5*x1*x5 ]
[ x5, x3*x5*x1*x5, x2*x3, x4, x1*x5*x1*x5 ]
[ x5, x4*x5*x1*x5, x2*x4, x3*x4, x1*x5*x1*x5 ]
[ x5*x1*x5, x2, x3, x4, x1*x5*x1*x5 ]
[ x4*x5, x5*x1*x5, x2, x3, x1*x5*x1*x5 ]
[ x3*x5, x5*x1*x5, x2, x4, x1*x5*x1*x5 ]
[ x4*x5, x5*x1*x5, x2, x3*x4, x1*x5*x1*x5 ]
[ x2*x5, x5*x1*x5, x3, x4, x1*x5*x1*x5 ]
[ x4*x5, x5*x1*x5, x2*x4, x3, x1*x5*x1*x5 ]
[ x3*x5, x5*x1*x5, x2*x3, x4, x1*x5*x1*x5 ]
[ x4*x5, x5*x1*x5, x2*x4, x3*x4, x1*x5*x1*x5 ]
[ x1*x5, x2, x3, x4, x1*x5*x1*x5 ]
[ x4*x5, x4*x5*x1*x5, x2, x3, x1*x5*x1*x5 ]
[ x3*x5, x3*x5*x1*x5, x2, x4, x1*x5*x1*x5 ]
[ x4*x5, x4*x5*x1*x5, x2, x3*x4, x1*x5*x1*x5 ]
[ x2*x5, x2*x5*x1*x5, x3, x4, x1*x5*x1*x5 ]
[ x4*x5, x4*x5*x1*x5, x2*x4, x3, x1*x5*x1*x5 ]
[ x3*x5, x3*x5*x1*x5, x2*x3, x4, x1*x5*x1*x5 ]
[ x4*x5, x4*x5*x1*x5, x2*x4, x3*x4, x1*x5*x1*x5 ]
[ x5, x1, x2, x3, x4*x5*x4*x5 ]
[ x5, x1, x2, x4, x4*x5*x4*x5 ]
[ x5, x1, x2, x3*x4, x4*x5*x4*x5 ]
[ x5, x1, x3, x4, x4*x5*x4*x5 ]
[ x5, x1, x2*x4, x3, x4*x5*x4*x5 ]
[ x5, x1, x2*x3, x4, x4*x5*x4*x5 ]
[ x5, x1, x2*x4, x3*x4, x4*x5*x4*x5 ]
[ x5, x2, x3, x4, x4*x5*x4*x5 ]
[ x5, x1*x4, x2, x3, x4*x5*x4*x5 ]
[ x5, x1*x3, x2, x4, x4*x5*x4*x5 ]
[ x5, x1*x4, x2, x3*x4, x4*x5*x4*x5 ]
[ x5, x1*x2, x3, x4, x4*x5*x4*x5 ]
[ x5, x1*x4, x2*x4, x3, x4*x5*x4*x5 ]
[ x5, x1*x3, x2*x3, x4, x4*x5*x4*x5 ]
[ x5, x1*x4, x2*x4, x3*x4, x4*x5*x4*x5 ]
[ x1, x2, x3, x4, x4*x5*x4*x5 ]
[ x5*x4, x1, x2, x3, x4*x5*x4*x5 ]
[ x3*x5, x1, x2, x4, x4*x5*x4*x5 ]
[ x5*x4, x1, x2, x3*x4, x4*x5*x4*x5 ]
[ x2*x5, x1, x3, x4, x4*x5*x4*x5 ]
[ x5*x4, x1, x2*x4, x3, x4*x5*x4*x5 ]
[ x3*x5, x1, x2*x3, x4, x4*x5*x4*x5 ]
[ x5*x4, x1, x2*x4, x3*x4, x4*x5*x4*x5 ]
[ x1*x5, x2, x3, x4, x4*x5*x4*x5 ]
[ x5*x4, x1*x4, x2, x3, x4*x5*x4*x5 ]
[ x3*x5, x1*x3, x2, x4, x4*x5*x4*x5 ]
[ x5*x4, x1*x4, x2, x3*x4, x4*x5*x4*x5 ]
[ x2*x5, x1*x2, x3, x4, x4*x5*x4*x5 ]
[ x5*x4, x1*x4, x2*x4, x3, x4*x5*x4*x5 ]
[ x3*x5, x1*x3, x2*x3, x4, x4*x5*x4*x5 ]
[ x5*x4, x1*x4, x2*x4, x3*x4, x4*x5*x4*x5 ]
[ x5, x1, x2, x3, x4*x5*x4*x5 ]
[ x5, x1, x2, x4, x4*x5*x4*x5 ]
[ x5, x1, x2, x3*x4, x4*x5*x4*x5 ]
[ x5, x1, x3, x4, x4*x5*x4*x5 ]
[ x5, x1, x2*x4, x3, x4*x5*x4*x5 ]
[ x5, x1, x2*x3, x4, x4*x5*x4*x5 ]
[ x5, x1, x2*x4, x3*x4, x4*x5*x4*x5 ]
[ x5, x2, x3, x4, x4*x5*x4*x5 ]
[ x5, x1*x4, x2, x3, x4*x5*x4*x5 ]
[ x5, x1*x3, x2, x4, x4*x5*x4*x5 ]
[ x5, x1*x4, x2, x3*x4, x4*x5*x4*x5 ]
[ x5, x1*x2, x3, x4, x4*x5*x4*x5 ]
[ x5, x1*x4, x2*x4, x3, x4*x5*x4*x5 ]
[ x5, x1*x3, x2*x3, x4, x4*x5*x4*x5 ]
[ x5, x1*x4, x2*x4, x3*x4, x4*x5*x4*x5 ]
[ x1, x2, x3, x4, x4*x5*x4*x5 ]
[ x5*x4, x1, x2, x3, x4*x5*x4*x5 ]
[ x3*x5, x1, x2, x4, x4*x5*x4*x5 ]
[ x5*x4, x1, x2, x3*x4, x4*x5*x4*x5 ]
[ x2*x5, x1, x3, x4, x4*x5*x4*x5 ]
[ x5*x4, x1, x2*x4, x3, x4*x5*x4*x5 ]
[ x3*x5, x1, x2*x3, x4, x4*x5*x4*x5 ]
[ x5*x4, x1, x2*x4, x3*x4, x4*x5*x4*x5 ]
[ x1*x5, x2, x3, x4, x4*x5*x4*x5 ]
[ x5*x4, x1*x4, x2, x3, x4*x5*x4*x5 ]
[ x3*x5, x1*x3, x2, x4, x4*x5*x4*x5 ]
[ x5*x4, x1*x4, x2, x3*x4, x4*x5*x4*x5 ]
[ x2*x5, x1*x2, x3, x4, x4*x5*x4*x5 ]
[ x5*x4, x1*x4, x2*x4, x3, x4*x5*x4*x5 ]
[ x3*x5, x1*x3, x2*x3, x4, x4*x5*x4*x5 ]
[ x5*x4, x1*x4, x2*x4, x3*x4, x4*x5*x4*x5 ]
[ x1*x2, x2^2 ]
[ x1, x2^2 ]
[ x2, x2^2 ]
[ x2, x1*x2*x1*x2 ]
[ x1, x1*x2*x1*x2 ]
[ x2*x1, x1*x2*x1*x2 ]
gap> LogTo();