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.1308");
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 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 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 5 generators>
gap> Append(names,["ordnung.128/(2)^4(4)^4/words.group.1308"]);
gap> Append(GROUPS,[P1]);
gap> R := CaratReadBravaisFile("ordnung.128/(2)^4(4)^6/group.1309");
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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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> P2 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.128/(2)^4(4)^6/words.group.1309"]);
gap> Append(GROUPS,[P2]);
gap> R := CaratReadBravaisFile("ordnung.128/(2)^4(4)^6/group.1310");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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 := 128 )
gap> P3 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.128/(2)^4(4)^6/words.group.1310"]);
gap> Append(GROUPS,[P3]);
gap> R := CaratReadBravaisFile("ordnung.128/(2)^4(4)^6/group.1311");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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> P4 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.128/(2)^4(4)^6/words.group.1311"]);
gap> Append(GROUPS,[P4]);
gap> R := CaratReadBravaisFile("ordnung.128/(2)^6(4)^2(8)^2/group.1312");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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 := 128 )
gap> P5 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.128/(2)^6(4)^2(8)^2/words.group.1312"]);
gap> Append(GROUPS,[P5]);
gap> R := CaratReadBravaisFile("ordnung.128/(2)^6(4)^2(8)^2/group.1313");
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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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> P6 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.128/(2)^6(4)^2(8)^2/words.group.1313"]);
gap> Append(GROUPS,[P6]);
gap> R := CaratReadBravaisFile("ordnung.128/(2)^6(4)^2(8)^2/group.1314");
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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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> P7 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.128/(2)^6(4)^2(8)^2/words.group.1314"]);
gap> Append(GROUPS,[P7]);
gap> R := CaratReadBravaisFile("ordnung.128/(2)^6(4)^2(8)^2/group.1315");
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 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 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> P8 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.128/(2)^6(4)^2(8)^2/words.group.1315"]);
gap> Append(GROUPS,[P8]);
gap> R := CaratReadBravaisFile("ordnung.128/(2)^6(4)^2(8)^2/group.1316");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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> P9 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.128/(2)^6(4)^2(8)^2/words.group.1316"]);
gap> Append(GROUPS,[P9]);
gap> R := CaratReadBravaisFile("ordnung.128/(2)^6(4)^4/group.1317");
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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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> P10 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.128/(2)^6(4)^4/words.group.1317"]);
gap> Append(GROUPS,[P10]);
gap> R := CaratReadBravaisFile("ordnung.128/(2)^6(4)^4/group.1318");
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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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> P11 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.128/(2)^6(4)^4/words.group.1318"]);
gap> Append(GROUPS,[P11]);
gap> R := CaratReadBravaisFile("ordnung.128/(2)^6(4)^4/group.1319");
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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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> P12 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.128/(2)^6(4)^4/words.group.1319"]);
gap> Append(GROUPS,[P12]);
gap> R := CaratReadBravaisFile("ordnung.128/(2)^6(4)^4/group.1320");
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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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> P13 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.128/(2)^6(4)^4/words.group.1320"]);
gap> Append(GROUPS,[P13]);
gap> R := CaratReadBravaisFile("ordnung.128/(2)^6(4)^4/group.1321");
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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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> P14 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.128/(2)^6(4)^4/words.group.1321"]);
gap> Append(GROUPS,[P14]);
gap> R := CaratReadBravaisFile("ordnung.128/(2)^6(4)^4/group.1322");
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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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> P15 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.128/(2)^6(4)^4/words.group.1322"]);
gap> Append(GROUPS,[P15]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^1(4)^4(8)^1/min.259");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 16 )
gap> P16 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.16/(2)^1(4)^4(8)^1/words.min.259"]);
gap> Append(GROUPS,[P16]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^1(4)^4(8)^1/min.260");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 16 )
gap> P17 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.16/(2)^1(4)^4(8)^1/words.min.260"]);
gap> Append(GROUPS,[P17]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^2(4)^2(8)^2/group.1323");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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> P18 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.16/(2)^2(4)^2(8)^2/words.group.1323"]);
gap> Append(GROUPS,[P18]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^2(4)^2(8)^2/group.1324");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0,
-1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 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 2 generators>
gap> Append(names,["ordnung.16/(2)^2(4)^2(8)^2/words.group.1324"]);
gap> Append(GROUPS,[P19]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^2(4)^2(8)^2/group.1325");
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, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 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)^2(4)^2(8)^2/words.group.1325"]);
gap> Append(GROUPS,[P20]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^2(4)^2(8)^2/group.1326");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0,
1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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> P21 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.16/(2)^2(4)^2(8)^2/words.group.1326"]);
gap> Append(GROUPS,[P21]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^2(4)^2(8)^2/group.1327");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0,
1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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> P22 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.16/(2)^2(4)^2(8)^2/words.group.1327"]);
gap> Append(GROUPS,[P22]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^2(4)^4(8)^4/group.1328");
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, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 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> P23 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.16/(2)^2(4)^4(8)^4/words.group.1328"]);
gap> Append(GROUPS,[P23]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^2(4)^4(8)^4/group.1329");
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 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 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)^2(4)^4(8)^4/words.group.1329"]);
gap> Append(GROUPS,[P24]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^2(4)^4(8)^4/group.1330");
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, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 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)^2(4)^4(8)^4/words.group.1330"]);
gap> Append(GROUPS,[P25]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^2(4)^4(8)^4/group.1331");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0,
1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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)^2(4)^4(8)^4/words.group.1331"]);
gap> Append(GROUPS,[P26]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^2(4)^4(8)^4/group.1332");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0,
1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 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> P27 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.16/(2)^2(4)^4(8)^4/words.group.1332"]);
gap> Append(GROUPS,[P27]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^2(4)^4(8)^4/group.1333");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0,
1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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> P28 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.16/(2)^2(4)^4(8)^4/words.group.1333"]);
gap> Append(GROUPS,[P28]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^2(4)^4(8)^4/min.261");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0,
-1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 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> P29 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.16/(2)^2(4)^4(8)^4/words.min.261"]);
gap> Append(GROUPS,[P29]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^2(4)^4(8)^4/min.262");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0,
-1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 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> P30 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.16/(2)^2(4)^4(8)^4/words.min.262"]);
gap> Append(GROUPS,[P30]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^2(4)^4(8)^4/min.263");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 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> P31 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.16/(2)^2(4)^4(8)^4/words.min.263"]);
gap> Append(GROUPS,[P31]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^2(4)^4(8)^4/min.264");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0,
1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 16 )
gap> P32 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.16/(2)^2(4)^4(8)^4/words.min.264"]);
gap> Append(GROUPS,[P32]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^2(4)^4(8)^4/min.265");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0,
1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 16 )
gap> P33 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.16/(2)^2(4)^4(8)^4/words.min.265"]);
gap> Append(GROUPS,[P33]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^2(4)^4(8)^4/min.266");
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, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 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> P34 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.16/(2)^2(4)^4(8)^4/words.min.266"]);
gap> Append(GROUPS,[P34]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^2(4)^4(8)^4/min.267");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0,
1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 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> P35 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.16/(2)^2(4)^4(8)^4/words.min.267"]);
gap> Append(GROUPS,[P35]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^2(8)^4/group.1334");
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, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 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> P36 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.16/(2)^2(8)^4/words.group.1334"]);
gap> Append(GROUPS,[P36]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^2(8)^4/group.1335");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0,
1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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> P37 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.16/(2)^2(8)^4/words.group.1335"]);
gap> Append(GROUPS,[P37]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^4(8)^4/group.1336");
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 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 16 )
gap> P38 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.16/(2)^4(8)^4/words.group.1336"]);
gap> Append(GROUPS,[P38]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^4(8)^4/group.1337");
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 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 16 )
gap> P39 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.16/(2)^4(8)^4/words.group.1337"]);
gap> Append(GROUPS,[P39]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^4(8)^4/group.1338");
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, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 16 )
gap> P40 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.16/(2)^4(8)^4/words.group.1338"]);
gap> Append(GROUPS,[P40]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^4(8)^4/group.1339");
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, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 16 )
gap> P41 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.16/(2)^4(8)^4/words.group.1339"]);
gap> Append(GROUPS,[P41]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^4(8)^4/min.268");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 16 )
gap> P42 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.16/(2)^4(8)^4/words.min.268"]);
gap> Append(GROUPS,[P42]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^4(8)^4/min.269");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 16 )
gap> P43 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.16/(2)^4(8)^4/words.min.269"]);
gap> Append(GROUPS,[P43]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^4(8)^4/min.270");
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, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 16 )
gap> P44 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.16/(2)^4(8)^4/words.min.270"]);
gap> Append(GROUPS,[P44]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^4(8)^4/min.271");
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, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 16 )
gap> P45 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.16/(2)^4(8)^4/words.min.271"]);
gap> Append(GROUPS,[P45]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^4(8)^4/min.272");
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, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 16 )
gap> P46 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.16/(2)^4(8)^4/words.min.272"]);
gap> Append(GROUPS,[P46]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^4(8)^4/min.273");
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, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 16 )
gap> P47 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.16/(2)^4(8)^4/words.min.273"]);
gap> Append(GROUPS,[P47]);
gap> R := CaratReadBravaisFile("ordnung.256/(2)^6(4)^4/group.1340");
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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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 := 256 )
gap> P48 := Group(R.generators);
<matrix group with 6 generators>
gap> Append(names,["ordnung.256/(2)^6(4)^4/words.group.1340"]);
gap> Append(GROUPS,[P48]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^1(4)^4(8)^1/group.1341");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 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 3 generators>
gap> Append(names,["ordnung.32/(2)^1(4)^4(8)^1/words.group.1341"]);
gap> Append(GROUPS,[P49]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^2(4)^2(8)^2/group.1342");
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, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 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)^2(4)^2(8)^2/words.group.1342"]);
gap> Append(GROUPS,[P50]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^2(4)^2(8)^2/group.1343");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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 3 generators>
gap> Append(names,["ordnung.32/(2)^2(4)^2(8)^2/words.group.1343"]);
gap> Append(GROUPS,[P51]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^2(4)^4/group.1344");
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, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 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, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 32 )
gap> P52 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^2(4)^4/words.group.1344"]);
gap> Append(GROUPS,[P52]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^2(4)^4/group.1345");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 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, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 32 )
gap> P53 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^2(4)^4/words.group.1345"]);
gap> Append(GROUPS,[P53]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^2(4)^4/group.1346");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 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 3 generators>
gap> Append(names,["ordnung.32/(2)^2(4)^4/words.group.1346"]);
gap> Append(GROUPS,[P54]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^2(4)^4(8)^4/group.1347");
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, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 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> P55 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.32/(2)^2(4)^4(8)^4/words.group.1347"]);
gap> Append(GROUPS,[P55]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^2(4)^4(8)^4/group.1348");
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, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 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> P56 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.32/(2)^2(4)^4(8)^4/words.group.1348"]);
gap> Append(GROUPS,[P56]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^2(4)^4(8)^4/group.1349");
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, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 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> P57 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^2(4)^4(8)^4/words.group.1349"]);
gap> Append(GROUPS,[P57]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^2(4)^4(8)^4/group.1350");
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, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 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 3 generators>
gap> Append(names,["ordnung.32/(2)^2(4)^4(8)^4/words.group.1350"]);
gap> Append(GROUPS,[P58]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^2(4)^4(8)^4/group.1351");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0,
1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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> P59 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.32/(2)^2(4)^4(8)^4/words.group.1351"]);
gap> Append(GROUPS,[P59]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^2(4)^6(8)^2/group.1352");
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, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 32 )
gap> P60 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^2(4)^6(8)^2/words.group.1352"]);
gap> Append(GROUPS,[P60]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^2(4)^6(8)^2/group.1353");
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, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 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 3 generators>
gap> Append(names,["ordnung.32/(2)^2(4)^6(8)^2/words.group.1353"]);
gap> Append(GROUPS,[P61]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^2(4)^6(8)^2/group.1354");
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, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 32 )
gap> P62 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^2(4)^6(8)^2/words.group.1354"]);
gap> Append(GROUPS,[P62]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^2(4)^6(8)^2/group.1355");
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, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 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> P63 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.32/(2)^2(4)^6(8)^2/words.group.1355"]);
gap> Append(GROUPS,[P63]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^2(4)^6(8)^2/group.1356");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0,
1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 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> P64 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.32/(2)^2(4)^6(8)^2/words.group.1356"]);
gap> Append(GROUPS,[P64]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^2(4)^6(8)^2/group.1357");
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, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 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> P65 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.32/(2)^2(4)^6(8)^2/words.group.1357"]);
gap> Append(GROUPS,[P65]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^2(4)^6(8)^2/group.1358");
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, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 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> P66 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.32/(2)^2(4)^6(8)^2/words.group.1358"]);
gap> Append(GROUPS,[P66]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^2(8)^2/group.1359");
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, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 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> P67 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^2(8)^2/words.group.1359"]);
gap> Append(GROUPS,[P67]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^2(8)^2/group.1360");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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> P68 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^2(8)^2/words.group.1360"]);
gap> Append(GROUPS,[P68]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^2(8)^2/group.1361");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0,
-1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 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> P69 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^2(8)^2/words.group.1361"]);
gap> Append(GROUPS,[P69]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^2(8)^2/group.1362");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0,
-1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 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> P70 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^2(8)^2/words.group.1362"]);
gap> Append(GROUPS,[P70]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^2(8)^2/group.1363");
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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 32 )
gap> P71 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^2(8)^2/words.group.1363"]);
gap> Append(GROUPS,[P71]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^2(8)^2/group.1364");
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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 32 )
gap> P72 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^2(8)^2/words.group.1364"]);
gap> Append(GROUPS,[P72]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^2(8)^2/group.1365");
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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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> P73 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^2(8)^2/words.group.1365"]);
gap> Append(GROUPS,[P73]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^2(8)^2/group.1366");
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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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> P74 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^2(8)^2/words.group.1366"]);
gap> Append(GROUPS,[P74]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^2(8)^2/group.1367");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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> P75 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^2(8)^2/words.group.1367"]);
gap> Append(GROUPS,[P75]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^2(8)^2/group.1368");
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, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 32 )
gap> P76 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^2(8)^2/words.group.1368"]);
gap> Append(GROUPS,[P76]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^2(8)^2/group.1369");
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, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 32 )
gap> P77 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^2(8)^2/words.group.1369"]);
gap> Append(GROUPS,[P77]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^2(8)^2/group.1370");
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 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 32 )
gap> P78 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^2(8)^2/words.group.1370"]);
gap> Append(GROUPS,[P78]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^2(8)^2/group.1371");
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 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 32 )
gap> P79 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^2(8)^2/words.group.1371"]);
gap> Append(GROUPS,[P79]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^2(8)^2/group.1372");
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 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 32 )
gap> P80 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^2(8)^2/words.group.1372"]);
gap> Append(GROUPS,[P80]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^2(8)^2/group.1373");
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 ] ]
, [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 32 )
gap> P81 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^2(8)^2/words.group.1373"]);
gap> Append(GROUPS,[P81]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^2(8)^2/group.1374");
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 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 32 )
gap> P82 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^2(8)^2/words.group.1374"]);
gap> Append(GROUPS,[P82]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^2(8)^2/group.1375");
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 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 32 )
gap> P83 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^2(8)^2/words.group.1375"]);
gap> Append(GROUPS,[P83]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^2(8)^2/group.1376");
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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 32 )
gap> P84 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^2(8)^2/words.group.1376"]);
gap> Append(GROUPS,[P84]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^2(8)^2/group.1377");
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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 32 )
gap> P85 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^2(8)^2/words.group.1377"]);
gap> Append(GROUPS,[P85]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^2(8)^2/group.1378");
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, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 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, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 32 )
gap> P86 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^2(8)^2/words.group.1378"]);
gap> Append(GROUPS,[P86]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^2(8)^2/group.1379");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0,
-1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 32 )
gap> P87 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^2(8)^2/words.group.1379"]);
gap> Append(GROUPS,[P87]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^2(8)^2/group.1380");
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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 32 )
gap> P88 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^2(8)^2/words.group.1380"]);
gap> Append(GROUPS,[P88]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^2(8)^2/group.1381");
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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 32 )
gap> P89 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^2(8)^2/words.group.1381"]);
gap> Append(GROUPS,[P89]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^2(8)^2/group.1382");
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, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 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, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 32 )
gap> P90 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^2(8)^2/words.group.1382"]);
gap> Append(GROUPS,[P90]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^2(8)^2/group.1383");
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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 32 )
gap> P91 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^2(8)^2/words.group.1383"]);
gap> Append(GROUPS,[P91]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^4(8)^2/group.1384");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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> P92 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^4(8)^2/words.group.1384"]);
gap> Append(GROUPS,[P92]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^4(8)^2/group.1385");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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> P93 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^4(8)^2/words.group.1385"]);
gap> Append(GROUPS,[P93]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^4(8)^2/group.1386");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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> P94 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^4(8)^2/words.group.1386"]);
gap> Append(GROUPS,[P94]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^4(8)^2/group.1387");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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> P95 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^4(8)^2/words.group.1387"]);
gap> Append(GROUPS,[P95]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^4(8)^2/group.1388");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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> P96 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^4(8)^2/words.group.1388"]);
gap> Append(GROUPS,[P96]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^4(8)^2/group.1389");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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> P97 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^4(8)^2/words.group.1389"]);
gap> Append(GROUPS,[P97]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^4(8)^2/group.1390");
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, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 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> P98 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^4(8)^2/words.group.1390"]);
gap> Append(GROUPS,[P98]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^4(8)^2/group.1391");
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, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 32 )
gap> P99 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^4(8)^2/words.group.1391"]);
gap> Append(GROUPS,[P99]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^4(8)^2/group.1392");
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, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 32 )
gap> P100 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^4(8)^2/words.group.1392"]);
gap> Append(GROUPS,[P100]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^4(8)^2/group.1393");
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, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 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> P101 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^4(8)^2/words.group.1393"]);
gap> Append(GROUPS,[P101]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^4(8)^2/group.1394");
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, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 32 )
gap> P102 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^4(8)^2/words.group.1394"]);
gap> Append(GROUPS,[P102]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^4(8)^2/group.1395");
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, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 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> P103 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^4(8)^2/words.group.1395"]);
gap> Append(GROUPS,[P103]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^4(8)^2/group.1396");
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, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 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> P104 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^4(8)^2/words.group.1396"]);
gap> Append(GROUPS,[P104]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^4(8)^2/group.1397");
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, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 32 )
gap> P105 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^4(8)^2/words.group.1397"]);
gap> Append(GROUPS,[P105]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^4(8)^2/group.1398");
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, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 32 )
gap> P106 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^4(8)^2/words.group.1398"]);
gap> Append(GROUPS,[P106]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^4(8)^2/group.1399");
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, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 32 )
gap> P107 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^4(8)^2/words.group.1399"]);
gap> Append(GROUPS,[P107]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^4(8)^2/group.1400");
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, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 32 )
gap> P108 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^4(8)^2/words.group.1400"]);
gap> Append(GROUPS,[P108]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^4(8)^2/group.1401");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0,
-1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 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> P109 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^4(8)^2/words.group.1401"]);
gap> Append(GROUPS,[P109]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^4(8)^2/group.1402");
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, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 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> P110 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^4(8)^2/words.group.1402"]);
gap> Append(GROUPS,[P110]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^4(8)^2/group.1403");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0,
-1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 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> P111 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^4(8)^2/words.group.1403"]);
gap> Append(GROUPS,[P111]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^4(8)^2/group.1404");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0,
-1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 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> P112 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^4(8)^2/words.group.1404"]);
gap> Append(GROUPS,[P112]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^4(8)^2/group.1405");
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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 32 )
gap> P113 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^4(8)^2/words.group.1405"]);
gap> Append(GROUPS,[P113]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^4(8)^2/group.1406");
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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 32 )
gap> P114 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^4(8)^2/words.group.1406"]);
gap> Append(GROUPS,[P114]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^4(8)^2/group.1407");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0,
-1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 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> P115 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^4(8)^2/words.group.1407"]);
gap> Append(GROUPS,[P115]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^4(8)^2/group.1408");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0,
-1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 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> P116 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^4(8)^2/words.group.1408"]);
gap> Append(GROUPS,[P116]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^4(8)^2/group.1409");
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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 32 )
gap> P117 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^4(8)^2/words.group.1409"]);
gap> Append(GROUPS,[P117]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^4(8)^2/group.1410");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0,
-1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 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> P118 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^4(8)^2/words.group.1410"]);
gap> Append(GROUPS,[P118]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^4(8)^2/group.1411");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0,
-1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 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> P119 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^4(8)^2/words.group.1411"]);
gap> Append(GROUPS,[P119]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^4(8)^2/group.1412");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0,
-1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 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> P120 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^4(8)^2/words.group.1412"]);
gap> Append(GROUPS,[P120]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^4(8)^2/group.1413");
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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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> P121 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^4(8)^2/words.group.1413"]);
gap> Append(GROUPS,[P121]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^4(8)^2/group.1414");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0,
-1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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> P122 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^4(8)^2/words.group.1414"]);
gap> Append(GROUPS,[P122]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^4(8)^2/group.1415");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0,
-1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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> P123 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^4(8)^2/words.group.1415"]);
gap> Append(GROUPS,[P123]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^4(8)^2/group.1416");
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, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 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, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 32 )
gap> P124 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^4(8)^2/words.group.1416"]);
gap> Append(GROUPS,[P124]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^4(8)^2/group.1417");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 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, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 32 )
gap> P125 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^4(8)^2/words.group.1417"]);
gap> Append(GROUPS,[P125]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^4(8)^2/group.1418");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 32 )
gap> P126 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^4(8)^2/words.group.1418"]);
gap> Append(GROUPS,[P126]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^4(8)^2/group.1419");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 32 )
gap> P127 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^4(8)^2/words.group.1419"]);
gap> Append(GROUPS,[P127]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^4(8)^2/group.1420");
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 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 32 )
gap> P128 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^4(8)^2/words.group.1420"]);
gap> Append(GROUPS,[P128]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^4(8)^2/group.1421");
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 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 32 )
gap> P129 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^4(8)^2/words.group.1421"]);
gap> Append(GROUPS,[P129]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^4(8)^2/group.1422");
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 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 32 )
gap> P130 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^4(8)^2/words.group.1422"]);
gap> Append(GROUPS,[P130]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^4(8)^2/group.1423");
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 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 32 )
gap> P131 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^4(8)^2/words.group.1423"]);
gap> Append(GROUPS,[P131]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^4(8)^2/group.1424");
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 ] ]
, [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 32 )
gap> P132 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^4(8)^2/words.group.1424"]);
gap> Append(GROUPS,[P132]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^4(8)^2/group.1425");
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 ] ]
, [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 32 )
gap> P133 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^4(8)^2/words.group.1425"]);
gap> Append(GROUPS,[P133]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^4(8)^2/group.1426");
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 ] ]
, [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 32 )
gap> P134 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^4(8)^2/words.group.1426"]);
gap> Append(GROUPS,[P134]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^4(8)^2/group.1427");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 32 )
gap> P135 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^4(8)^2/words.group.1427"]);
gap> Append(GROUPS,[P135]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(4)^4(8)^2/group.1428");
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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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> P136 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(4)^4(8)^2/words.group.1428"]);
gap> Append(GROUPS,[P136]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(8)^4/group.1429");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0,
-1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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> P137 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(8)^4/words.group.1429"]);
gap> Append(GROUPS,[P137]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(8)^4/group.1430");
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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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> P138 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(8)^4/words.group.1430"]);
gap> Append(GROUPS,[P138]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(8)^4/group.1431");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0,
-1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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> P139 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(8)^4/words.group.1431"]);
gap> Append(GROUPS,[P139]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(8)^4/group.1432");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0,
-1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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> P140 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(8)^4/words.group.1432"]);
gap> Append(GROUPS,[P140]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(8)^4/group.1433");
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, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 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> P141 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(8)^4/words.group.1433"]);
gap> Append(GROUPS,[P141]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^2(4)^4/group.1434");
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, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 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, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 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> P142 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^2(4)^4/words.group.1434"]);
gap> Append(GROUPS,[P142]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^2(4)^6(8)^2/group.1435");
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, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 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> P143 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.64/(2)^2(4)^6(8)^2/words.group.1435"]);
gap> Append(GROUPS,[P143]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^2(4)^6(8)^2/group.1436");
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, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 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> P144 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^2(4)^6(8)^2/words.group.1436"]);
gap> Append(GROUPS,[P144]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^2(8)^2/group.1437");
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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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> P145 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^2(8)^2/words.group.1437"]);
gap> Append(GROUPS,[P145]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^2(8)^2/group.1438");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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> P146 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^2(8)^2/words.group.1438"]);
gap> Append(GROUPS,[P146]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^2(8)^2/group.1439");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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> P147 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^2(8)^2/words.group.1439"]);
gap> Append(GROUPS,[P147]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^2(8)^2/group.1440");
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 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 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> P148 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^2(8)^2/words.group.1440"]);
gap> Append(GROUPS,[P148]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^2(8)^2/group.1441");
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 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 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> P149 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^2(8)^2/words.group.1441"]);
gap> Append(GROUPS,[P149]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^2(8)^2/group.1442");
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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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> P150 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^2(8)^2/words.group.1442"]);
gap> Append(GROUPS,[P150]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^2(8)^2/group.1443");
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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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> P151 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^2(8)^2/words.group.1443"]);
gap> Append(GROUPS,[P151]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^4/group.1444");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0,
-1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 64 )
gap> P152 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^4/words.group.1444"]);
gap> Append(GROUPS,[P152]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^4/group.1445");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 64 )
gap> P153 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^4/words.group.1445"]);
gap> Append(GROUPS,[P153]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^4/group.1446");
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 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 64 )
gap> P154 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^4/words.group.1446"]);
gap> Append(GROUPS,[P154]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^4/group.1447");
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 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 64 )
gap> P155 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^4/words.group.1447"]);
gap> Append(GROUPS,[P155]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^4/group.1448");
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 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 64 )
gap> P156 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^4/words.group.1448"]);
gap> Append(GROUPS,[P156]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^4/group.1449");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0,
-1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 64 )
gap> P157 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^4/words.group.1449"]);
gap> Append(GROUPS,[P157]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^4(8)^2/group.1450");
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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 64 )
gap> P158 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^4(8)^2/words.group.1450"]);
gap> Append(GROUPS,[P158]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^4(8)^2/group.1451");
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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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> P159 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^4(8)^2/words.group.1451"]);
gap> Append(GROUPS,[P159]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^4(8)^2/group.1452");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0,
1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 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> P160 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^4(8)^2/words.group.1452"]);
gap> Append(GROUPS,[P160]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^4(8)^2/group.1453");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0,
1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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> P161 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^4(8)^2/words.group.1453"]);
gap> Append(GROUPS,[P161]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^4(8)^2/group.1454");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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> P162 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^4(8)^2/words.group.1454"]);
gap> Append(GROUPS,[P162]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^4(8)^2/group.1455");
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, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 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> P163 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^4(8)^2/words.group.1455"]);
gap> Append(GROUPS,[P163]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^4(8)^2/group.1456");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0,
-1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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> P164 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^4(8)^2/words.group.1456"]);
gap> Append(GROUPS,[P164]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^4(8)^2/group.1457");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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> P165 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^4(8)^2/words.group.1457"]);
gap> Append(GROUPS,[P165]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^4(8)^2/group.1458");
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, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 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> P166 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^4(8)^2/words.group.1458"]);
gap> Append(GROUPS,[P166]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^4(8)^2/group.1459");
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, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 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, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 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> P167 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^4(8)^2/words.group.1459"]);
gap> Append(GROUPS,[P167]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^4(8)^2/group.1460");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 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> P168 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^4(8)^2/words.group.1460"]);
gap> Append(GROUPS,[P168]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^4(8)^2/group.1461");
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 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 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> P169 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^4(8)^2/words.group.1461"]);
gap> Append(GROUPS,[P169]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^4(8)^2/group.1462");
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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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> P170 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^4(8)^2/words.group.1462"]);
gap> Append(GROUPS,[P170]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^6/group.1463");
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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 64 )
gap> P171 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^6/words.group.1463"]);
gap> Append(GROUPS,[P171]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^6/group.1464");
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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 64 )
gap> P172 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^6/words.group.1464"]);
gap> Append(GROUPS,[P172]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^6/group.1465");
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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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> P173 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^6/words.group.1465"]);
gap> Append(GROUPS,[P173]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^6/group.1466");
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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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> P174 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^6/words.group.1466"]);
gap> Append(GROUPS,[P174]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^6/group.1467");
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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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> P175 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^6/words.group.1467"]);
gap> Append(GROUPS,[P175]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^6/group.1468");
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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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> P176 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^6/words.group.1468"]);
gap> Append(GROUPS,[P176]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^6/group.1469");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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> P177 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^6/words.group.1469"]);
gap> Append(GROUPS,[P177]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^6/group.1470");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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> P178 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^6/words.group.1470"]);
gap> Append(GROUPS,[P178]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^6/group.1471");
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, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 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, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 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> P179 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^6/words.group.1471"]);
gap> Append(GROUPS,[P179]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^6/group.1472");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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> P180 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^6/words.group.1472"]);
gap> Append(GROUPS,[P180]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^6/group.1473");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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> P181 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^6/words.group.1473"]);
gap> Append(GROUPS,[P181]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^6/group.1474");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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> P182 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^6/words.group.1474"]);
gap> Append(GROUPS,[P182]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^6/group.1475");
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 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 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> P183 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^6/words.group.1475"]);
gap> Append(GROUPS,[P183]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^6/group.1476");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 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> P184 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^6/words.group.1476"]);
gap> Append(GROUPS,[P184]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^6/group.1477");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0,
-1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 64 )
gap> P185 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^6/words.group.1477"]);
gap> Append(GROUPS,[P185]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^6/group.1478");
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, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 64 )
gap> P186 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^6/words.group.1478"]);
gap> Append(GROUPS,[P186]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^6(4)^2(8)^2/group.1479");
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, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 64 )
gap> P187 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^6(4)^2(8)^2/words.group.1479"]);
gap> Append(GROUPS,[P187]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^6(4)^2(8)^2/group.1480");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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> P188 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^6(4)^2(8)^2/words.group.1480"]);
gap> Append(GROUPS,[P188]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^6(4)^2(8)^2/group.1481");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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> P189 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^6(4)^2(8)^2/words.group.1481"]);
gap> Append(GROUPS,[P189]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^6(4)^2(8)^2/group.1482");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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> P190 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^6(4)^2(8)^2/words.group.1482"]);
gap> Append(GROUPS,[P190]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^6(4)^2(8)^2/group.1483");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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> P191 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^6(4)^2(8)^2/words.group.1483"]);
gap> Append(GROUPS,[P191]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^6(4)^2(8)^2/group.1484");
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, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 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> P192 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^6(4)^2(8)^2/words.group.1484"]);
gap> Append(GROUPS,[P192]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^6(4)^2(8)^2/group.1485");
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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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> P193 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^6(4)^2(8)^2/words.group.1485"]);
gap> Append(GROUPS,[P193]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^6(4)^2(8)^2/group.1486");
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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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> P194 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^6(4)^2(8)^2/words.group.1486"]);
gap> Append(GROUPS,[P194]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^6(4)^2(8)^2/group.1487");
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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 64 )
gap> P195 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^6(4)^2(8)^2/words.group.1487"]);
gap> Append(GROUPS,[P195]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^6(4)^2(8)^2/group.1488");
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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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> P196 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^6(4)^2(8)^2/words.group.1488"]);
gap> Append(GROUPS,[P196]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^6(4)^2(8)^2/group.1489");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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> P197 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^6(4)^2(8)^2/words.group.1489"]);
gap> Append(GROUPS,[P197]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^6(4)^2(8)^2/group.1490");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0,
1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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> P198 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^6(4)^2(8)^2/words.group.1490"]);
gap> Append(GROUPS,[P198]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^6(4)^2(8)^2/group.1491");
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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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> P199 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^6(4)^2(8)^2/words.group.1491"]);
gap> Append(GROUPS,[P199]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^6(4)^2(8)^2/group.1492");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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> P200 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^6(4)^2(8)^2/words.group.1492"]);
gap> Append(GROUPS,[P200]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^6(4)^2(8)^2/group.1493");
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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 64 )
gap> P201 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^6(4)^2(8)^2/words.group.1493"]);
gap> Append(GROUPS,[P201]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^6(4)^2(8)^2/group.1494");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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> P202 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^6(4)^2(8)^2/words.group.1494"]);
gap> Append(GROUPS,[P202]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^6(4)^2(8)^2/group.1495");
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 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 64 )
gap> P203 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^6(4)^2(8)^2/words.group.1495"]);
gap> Append(GROUPS,[P203]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^6(4)^2(8)^2/group.1496");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 64 )
gap> P204 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^6(4)^2(8)^2/words.group.1496"]);
gap> Append(GROUPS,[P204]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^6(4)^2(8)^2/group.1497");
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 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 64 )
gap> P205 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^6(4)^2(8)^2/words.group.1497"]);
gap> Append(GROUPS,[P205]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^6(4)^2(8)^2/group.1498");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0,
-1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 64 )
gap> P206 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^6(4)^2(8)^2/words.group.1498"]);
gap> Append(GROUPS,[P206]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^6(4)^2(8)^2/group.1499");
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 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 64 )
gap> P207 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^6(4)^2(8)^2/words.group.1499"]);
gap> Append(GROUPS,[P207]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^6(4)^2(8)^2/group.1500");
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 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 64 )
gap> P208 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^6(4)^2(8)^2/words.group.1500"]);
gap> Append(GROUPS,[P208]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^6(4)^2(8)^2/group.1501");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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> P209 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^6(4)^2(8)^2/words.group.1501"]);
gap> Append(GROUPS,[P209]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^6(4)^2(8)^2/group.1502");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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> P210 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^6(4)^2(8)^2/words.group.1502"]);
gap> Append(GROUPS,[P210]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^6(4)^2(8)^2/group.1503");
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, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 64 )
gap> P211 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^6(4)^2(8)^2/words.group.1503"]);
gap> Append(GROUPS,[P211]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^6(4)^2(8)^2/group.1504");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0,
-1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 64 )
gap> P212 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^6(4)^2(8)^2/words.group.1504"]);
gap> Append(GROUPS,[P212]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^6(4)^2(8)^2/group.1505");
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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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> P213 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^6(4)^2(8)^2/words.group.1505"]);
gap> Append(GROUPS,[P213]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^6(4)^2(8)^2/group.1506");
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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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> P214 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^6(4)^2(8)^2/words.group.1506"]);
gap> Append(GROUPS,[P214]);
gap> R := CaratReadBravaisFile("ordnung.8/(2)^2(8)^4/min.274");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0,
-1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 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 := 8 )
gap> P215 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.8/(2)^2(8)^4/words.min.274"]);
gap> Append(GROUPS,[P215]);
gap> R := CaratReadBravaisFile("ordnung.8/(2)^2(8)^4/min.275");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0,
-1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 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 := 8 )
gap> P216 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.8/(2)^2(8)^4/words.min.275"]);
gap> Append(GROUPS,[P216]);
gap> R := CaratReadBravaisFile("ordnung.8/(2)^2(8)^4/min.276");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0,
1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 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 := 8 )
gap> P217 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.8/(2)^2(8)^4/words.min.276"]);
gap> Append(GROUPS,[P217]);
gap> R := CaratReadBravaisFile("ordnung.8/(2)^2(8)^4/min.277");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0,
1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 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 := 8 )
gap> P218 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.8/(2)^2(8)^4/words.min.277"]);
gap> Append(GROUPS,[P218]);
gap> Print(GROUPS,"\n");
[ 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 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 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 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 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, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 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 ]
] ]),
Group([ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 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 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 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 ],
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"ordnung.32/(2)^4(8)^4/words.group.1433",
"ordnung.64/(2)^2(4)^4/words.group.1434",
"ordnung.64/(2)^2(4)^6(8)^2/words.group.1435",
"ordnung.64/(2)^2(4)^6(8)^2/words.group.1436",
"ordnung.64/(2)^4(4)^2(8)^2/words.group.1437",
"ordnung.64/(2)^4(4)^2(8)^2/words.group.1438",
"ordnung.64/(2)^4(4)^2(8)^2/words.group.1439",
"ordnung.64/(2)^4(4)^2(8)^2/words.group.1440",
"ordnung.64/(2)^4(4)^2(8)^2/words.group.1441",
"ordnung.64/(2)^4(4)^2(8)^2/words.group.1442",
"ordnung.64/(2)^4(4)^2(8)^2/words.group.1443",
"ordnung.64/(2)^4(4)^4/words.group.1444",
"ordnung.64/(2)^4(4)^4/words.group.1445",
"ordnung.64/(2)^4(4)^4/words.group.1446",
"ordnung.64/(2)^4(4)^4/words.group.1447",
"ordnung.64/(2)^4(4)^4/words.group.1448",
"ordnung.64/(2)^4(4)^4/words.group.1449",
"ordnung.64/(2)^4(4)^4(8)^2/words.group.1450",
"ordnung.64/(2)^4(4)^4(8)^2/words.group.1451",
"ordnung.64/(2)^4(4)^4(8)^2/words.group.1452",
"ordnung.64/(2)^4(4)^4(8)^2/words.group.1453",
"ordnung.64/(2)^4(4)^4(8)^2/words.group.1454",
"ordnung.64/(2)^4(4)^4(8)^2/words.group.1455",
"ordnung.64/(2)^4(4)^4(8)^2/words.group.1456",
"ordnung.64/(2)^4(4)^4(8)^2/words.group.1457",
"ordnung.64/(2)^4(4)^4(8)^2/words.group.1458",
"ordnung.64/(2)^4(4)^4(8)^2/words.group.1459",
"ordnung.64/(2)^4(4)^4(8)^2/words.group.1460",
"ordnung.64/(2)^4(4)^4(8)^2/words.group.1461",
"ordnung.64/(2)^4(4)^4(8)^2/words.group.1462",
"ordnung.64/(2)^4(4)^6/words.group.1463",
"ordnung.64/(2)^4(4)^6/words.group.1464",
"ordnung.64/(2)^4(4)^6/words.group.1465",
"ordnung.64/(2)^4(4)^6/words.group.1466",
"ordnung.64/(2)^4(4)^6/words.group.1467",
"ordnung.64/(2)^4(4)^6/words.group.1468",
"ordnung.64/(2)^4(4)^6/words.group.1469",
"ordnung.64/(2)^4(4)^6/words.group.1470",
"ordnung.64/(2)^4(4)^6/words.group.1471",
"ordnung.64/(2)^4(4)^6/words.group.1472",
"ordnung.64/(2)^4(4)^6/words.group.1473",
"ordnung.64/(2)^4(4)^6/words.group.1474",
"ordnung.64/(2)^4(4)^6/words.group.1475",
"ordnung.64/(2)^4(4)^6/words.group.1476",
"ordnung.64/(2)^4(4)^6/words.group.1477",
"ordnung.64/(2)^4(4)^6/words.group.1478",
"ordnung.64/(2)^6(4)^2(8)^2/words.group.1479",
"ordnung.64/(2)^6(4)^2(8)^2/words.group.1480",
"ordnung.64/(2)^6(4)^2(8)^2/words.group.1481",
"ordnung.64/(2)^6(4)^2(8)^2/words.group.1482",
"ordnung.64/(2)^6(4)^2(8)^2/words.group.1483",
"ordnung.64/(2)^6(4)^2(8)^2/words.group.1484",
"ordnung.64/(2)^6(4)^2(8)^2/words.group.1485",
"ordnung.64/(2)^6(4)^2(8)^2/words.group.1486",
"ordnung.64/(2)^6(4)^2(8)^2/words.group.1487",
"ordnung.64/(2)^6(4)^2(8)^2/words.group.1488",
"ordnung.64/(2)^6(4)^2(8)^2/words.group.1489",
"ordnung.64/(2)^6(4)^2(8)^2/words.group.1490",
"ordnung.64/(2)^6(4)^2(8)^2/words.group.1491",
"ordnung.64/(2)^6(4)^2(8)^2/words.group.1492",
"ordnung.64/(2)^6(4)^2(8)^2/words.group.1493",
"ordnung.64/(2)^6(4)^2(8)^2/words.group.1494",
"ordnung.64/(2)^6(4)^2(8)^2/words.group.1495",
"ordnung.64/(2)^6(4)^2(8)^2/words.group.1496",
"ordnung.64/(2)^6(4)^2(8)^2/words.group.1497",
"ordnung.64/(2)^6(4)^2(8)^2/words.group.1498",
"ordnung.64/(2)^6(4)^2(8)^2/words.group.1499",
"ordnung.64/(2)^6(4)^2(8)^2/words.group.1500",
"ordnung.64/(2)^6(4)^2(8)^2/words.group.1501",
"ordnung.64/(2)^6(4)^2(8)^2/words.group.1502",
"ordnung.64/(2)^6(4)^2(8)^2/words.group.1503",
"ordnung.64/(2)^6(4)^2(8)^2/words.group.1504",
"ordnung.64/(2)^6(4)^2(8)^2/words.group.1505",
"ordnung.64/(2)^6(4)^2(8)^2/words.group.1506",
"ordnung.8/(2)^2(8)^4/words.min.274", "ordnung.8/(2)^2(8)^4/words.min.275",
"ordnung.8/(2)^2(8)^4/words.min.276", "ordnung.8/(2)^2(8)^4/words.min.277" ]
gap> Size(GROUPS);
218
gap> Size(names);
218
gap> Read("../../TGROUPS.GAP");
gap> for i in [1..Size(GROUPS)] do
> SubgroupWords(GROUPS[i], names[i]);
> od;
[ x3*x5, x4, x1, x2, x2^2, x1*x2^2*x4*x1*x4 ]
[ x3*x5, x4, x1, x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x3*x5, x4, x1, x2*x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x3*x5, x4, x2, x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x3*x5, x4, x1*x3, x2, x2^2, x1*x2^2*x4*x1*x4 ]
[ x3*x5, x4, x1*x2, x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x3*x5, x4, x1*x3, x2*x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x3*x5, x1, x2, x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x3*x5, x3*x4, x1, x2, x2^2, x1*x2^2*x4*x1*x4 ]
[ x3*x5, x2*x4, x1, x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x3*x5, x3*x4, x1, x2*x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x3*x5, x4*x1, x2, x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x3*x5, x3*x4, x1*x3, x2, x2^2, x1*x2^2*x4*x1*x4 ]
[ x3*x5, x2*x4, x1*x2, x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x3*x5, x3*x4, x1*x3, x2*x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x4, x1, x2, x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x5, x4, x1, x2, x2^2, x1*x2^2*x4*x1*x4 ]
[ x2*x3*x5, x4, x1, x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x5, x4, x1, x2*x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x1*x3*x5, x4, x2, x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x5, x4, x1*x3, x2, x2^2, x1*x2^2*x4*x1*x4 ]
[ x2*x3*x5, x4, x1*x2, x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x5, x4, x1*x3, x2*x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x3*x4*x5, x1, x2, x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x5, x3*x4, x1, x2, x2^2, x1*x2^2*x4*x1*x4 ]
[ x2*x3*x5, x2*x4, x1, x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x5, x3*x4, x1, x2*x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x1*x3*x5, x4*x1, x2, x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x5, x3*x4, x1*x3, x2, x2^2, x1*x2^2*x4*x1*x4 ]
[ x2*x3*x5, x2*x4, x1*x2, x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x5, x3*x4, x1*x3, x2*x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x1*x5, x4, x1, x2, x4^2, x3*x4*x3*x4 ]
[ x1*x5, x4, x1, x2*x3, x4^2, x3*x4*x3*x4 ]
[ x1*x5, x4, x1, x3, x4^2, x3*x4*x3*x4 ]
[ x1*x5, x4, x2, x2*x3, x4^2, x3*x4*x3*x4 ]
[ x1*x5, x4, x1*x2*x3, x2, x4^2, x3*x4*x3*x4 ]
[ x1*x5, x4, x1*x2, x2*x3, x4^2, x3*x4*x3*x4 ]
[ x1*x5, x4, x1*x2*x3, x3, x4^2, x3*x4*x3*x4 ]
[ x1*x5, x1, x2, x2*x3, x4^2, x3*x4*x3*x4 ]
[ x1*x5, x4*x2*x3, x1, x2, x4^2, x3*x4*x3*x4 ]
[ x1*x5, x4*x2, x1, x2*x3, x4^2, x3*x4*x3*x4 ]
[ x1*x5, x4*x2*x3, x1, x3, x4^2, x3*x4*x3*x4 ]
[ x1*x5, x1*x4, x2, x2*x3, x4^2, x3*x4*x3*x4 ]
[ x1*x5, x4*x2*x3, x1*x2*x3, x2, x4^2, x3*x4*x3*x4 ]
[ x1*x5, x4*x2, x1*x2, x2*x3, x4^2, x3*x4*x3*x4 ]
[ x1*x5, x4*x2*x3, x1*x2*x3, x3, x4^2, x3*x4*x3*x4 ]
[ x4, x1, x2, x2*x3, x4^2, x3*x4*x3*x4 ]
[ x1*x2*x3*x5, x4, x1, x2, x4^2, x3*x4*x3*x4 ]
[ x1*x2*x5, x4, x1, x2*x3, x4^2, x3*x4*x3*x4 ]
[ x1*x2*x3*x5, x4, x1, x3, x4^2, x3*x4*x3*x4 ]
[ x5, x4, x2, x2*x3, x4^2, x3*x4*x3*x4 ]
[ x1*x2*x3*x5, x4, x1*x2*x3, x2, x4^2, x3*x4*x3*x4 ]
[ x1*x2*x5, x4, x1*x2, x2*x3, x4^2, x3*x4*x3*x4 ]
[ x1*x2*x3*x5, x4, x1*x2*x3, x3, x4^2, x3*x4*x3*x4 ]
[ x1*x4*x5, x1, x2, x2*x3, x4^2, x3*x4*x3*x4 ]
[ x1*x2*x3*x5, x4*x2*x3, x1, x2, x4^2, x3*x4*x3*x4 ]
[ x1*x2*x5, x4*x2, x1, x2*x3, x4^2, x3*x4*x3*x4 ]
[ x1*x2*x3*x5, x4*x2*x3, x1, x3, x4^2, x3*x4*x3*x4 ]
[ x5, x1*x4, x2, x2*x3, x4^2, x3*x4*x3*x4 ]
[ x1*x2*x3*x5, x4*x2*x3, x1*x2*x3, x2, x4^2, x3*x4*x3*x4 ]
[ x1*x2*x5, x4*x2, x1*x2, x2*x3, x4^2, x3*x4*x3*x4 ]
[ x1*x2*x3*x5, x4*x2*x3, x1*x2*x3, x3, x4^2, x3*x4*x3*x4 ]
[ x2*x5, x1^2*x4, x1, x2, x3^2, x1^2 ]
[ x2*x5, x1^2*x4, x1, x3, x3^2, x1^2 ]
[ x2*x5, x1^2*x4, x1, x2*x3, x3^2, x1^2 ]
[ x2*x5, x1^2*x4, x2, x3, x3^2, x1^2 ]
[ x2*x5, x1^2*x4, x1*x3, x2, x3^2, x1^2 ]
[ x2*x5, x1^2*x4, x1*x2, x3, x3^2, x1^2 ]
[ x2*x5, x1^2*x4, x1*x3, x2*x3, x3^2, x1^2 ]
[ x2*x5, x1, x2, x3, x3^2, x1^2 ]
[ x2*x5, x1^2*x3^3*x4, x1, x2, x3^2, x1^2 ]
[ x2*x5, x1^2*x2*x4, x1, x3, x3^2, x1^2 ]
[ x2*x5, x1^2*x3^3*x4, x1, x2*x3, x3^2, x1^2 ]
[ x2*x5, x1*x4, x2, x3, x3^2, x1^2 ]
[ x2*x5, x1^2*x3^3*x4, x1*x3, x2, x3^2, x1^2 ]
[ x2*x5, x1^2*x2*x4, x1*x2, x3, x3^2, x1^2 ]
[ x2*x5, x1^2*x3^3*x4, x1*x3, x2*x3, x3^2, x1^2 ]
[ x1^2*x4, x1, x2, x3, x3^2, x1^2 ]
[ x2*x3*x5, x1^2*x4, x1, x2, x3^2, x1^2 ]
[ x5, x1^2*x4, x1, x3, x3^2, x1^2 ]
[ x2*x3*x5, x1^2*x4, x1, x2*x3, x3^2, x1^2 ]
[ x1*x2*x5, x1^2*x4, x2, x3, x3^2, x1^2 ]
[ x2*x3*x5, x1^2*x4, x1*x3, x2, x3^2, x1^2 ]
[ x5, x1^2*x4, x1*x2, x3, x3^2, x1^2 ]
[ x2*x3*x5, x1^2*x4, x1*x3, x2*x3, x3^2, x1^2 ]
[ x1^2*x2*x4*x5, x1, x2, x3, x3^2, x1^2 ]
[ x2*x3*x5, x1^2*x3^3*x4, x1, x2, x3^2, x1^2 ]
[ x5, x1^2*x2*x4, x1, x3, x3^2, x1^2 ]
[ x2*x3*x5, x1^2*x3^3*x4, x1, x2*x3, x3^2, x1^2 ]
[ x1*x2*x5, x1*x4, x2, x3, x3^2, x1^2 ]
[ x2*x3*x5, x1^2*x3^3*x4, x1*x3, x2, x3^2, x1^2 ]
[ x5, x1^2*x2*x4, x1*x2, x3, x3^2, x1^2 ]
[ x2*x3*x5, x1^2*x3^3*x4, x1*x3, x2*x3, x3^2, x1^2 ]
[ x2*x5, x3^2*x4, x4*x1*x4, x2, x3^2, x1*x4*x1*x4 ]
[ x2*x5, x3^2*x4, x4*x1*x4, x1*x3, x3^2, x1*x4*x1*x4 ]
[ x2*x5, x3^2*x4, x4*x1*x4, x1*x2*x3, x3^2, x1*x4*x1*x4 ]
[ x2*x5, x3^2*x4, x2, x1*x3, x3^2, x1*x4*x1*x4 ]
[ x2*x5, x3^2*x4, x1*x3*x4*x1*x4, x2, x3^2, x1*x4*x1*x4 ]
[ x2*x5, x3^2*x4, x2*x4*x1*x4, x1*x3, x3^2, x1*x4*x1*x4 ]
[ x2*x5, x3^2*x4, x1*x3*x4*x1*x4, x1*x2*x3, x3^2, x1*x4*x1*x4 ]
[ x2*x5, x4*x1*x4, x2, x1*x3, x3^2, x1*x4*x1*x4 ]
[ x2*x5, x1*x3*x4, x4*x1*x4, x2, x3^2, x1*x4*x1*x4 ]
[ x2*x5, x2*x3^2*x4, x4*x1*x4, x1*x3, x3^2, x1*x4*x1*x4 ]
[ x2*x5, x1*x3*x4, x4*x1*x4, x1*x2*x3, x3^2, x1*x4*x1*x4 ]
[ x2*x5, x1*x3^2*x4, x2, x1*x3, x3^2, x1*x4*x1*x4 ]
[ x2*x5, x1*x3*x4, x1*x3*x4*x1*x4, x2, x3^2, x1*x4*x1*x4 ]
[ x2*x5, x2*x3^2*x4, x2*x4*x1*x4, x1*x3, x3^2, x1*x4*x1*x4 ]
[ x2*x5, x1*x3*x4, x1*x3*x4*x1*x4, x1*x2*x3, x3^2, x1*x4*x1*x4 ]
[ x3^2*x4, x4*x1*x4, x2, x1*x3, x3^2, x1*x4*x1*x4 ]
[ x1*x2*x3*x5, x3^2*x4, x4*x1*x4, x2, x3^2, x1*x4*x1*x4 ]
[ x5, x3^2*x4, x4*x1*x4, x1*x3, x3^2, x1*x4*x1*x4 ]
[ x1*x2*x3*x5, x3^2*x4, x4*x1*x4, x1*x2*x3, x3^2, x1*x4*x1*x4 ]
[ x2*x4*x1*x4*x5, x3^2*x4, x2, x1*x3, x3^2, x1*x4*x1*x4 ]
[ x1*x2*x3*x5, x3^2*x4, x1*x3*x4*x1*x4, x2, x3^2, x1*x4*x1*x4 ]
[ x5, x3^2*x4, x2*x4*x1*x4, x1*x3, x3^2, x1*x4*x1*x4 ]
[ x1*x2*x3*x5, x3^2*x4, x1*x3*x4*x1*x4, x1*x2*x3, x3^2, x1*x4*x1*x4 ]
[ x2*x3^2*x4*x5, x4*x1*x4, x2, x1*x3, x3^2, x1*x4*x1*x4 ]
[ x1*x2*x3*x5, x1*x3*x4, x4*x1*x4, x2, x3^2, x1*x4*x1*x4 ]
[ x5, x2*x3^2*x4, x4*x1*x4, x1*x3, x3^2, x1*x4*x1*x4 ]
[ x1*x2*x3*x5, x1*x3*x4, x4*x1*x4, x1*x2*x3, x3^2, x1*x4*x1*x4 ]
[ x2*x4*x1*x4*x5, x1*x3^2*x4, x2, x1*x3, x3^2, x1*x4*x1*x4 ]
[ x1*x2*x3*x5, x1*x3*x4, x1*x3*x4*x1*x4, x2, x3^2, x1*x4*x1*x4 ]
[ x5, x2*x3^2*x4, x2*x4*x1*x4, x1*x3, x3^2, x1*x4*x1*x4 ]
[ x1*x2*x3*x5, x1*x3*x4, x1*x3*x4*x1*x4, x1*x2*x3, x3^2, x1*x4*x1*x4 ]
[ x5, x2, x3*x1*x3, x3, x5^2, x1*x3*x1*x3 ]
[ x5, x2, x3*x1*x3, x4, x5^2, x1*x3*x1*x3 ]
[ x5, x2, x3*x1*x3, x3*x4, x5^2, x1*x3*x1*x3 ]
[ x5, x2, x3, x4, x5^2, x1*x3*x1*x3 ]
[ x5, x2, x3*x1*x3*x4, x3, x5^2, x1*x3*x1*x3 ]
[ x5, x2, x3*x1, x4, x5^2, x1*x3*x1*x3 ]
[ x5, x2, x3*x1*x3*x4, x3*x4, x5^2, x1*x3*x1*x3 ]
[ x5, x3*x1*x3, x3, x4, x5^2, x1*x3*x1*x3 ]
[ x5, x2*x4, x3*x1*x3, x3, x5^2, x1*x3*x1*x3 ]
[ x5, x2*x3, x3*x1*x3, x4, x5^2, x1*x3*x1*x3 ]
[ x5, x2*x4, x3*x1*x3, x3*x4, x5^2, x1*x3*x1*x3 ]
[ x5, x2*x3*x1*x3, x3, x4, x5^2, x1*x3*x1*x3 ]
[ x5, x2*x4, x3*x1*x3*x4, x3, x5^2, x1*x3*x1*x3 ]
[ x5, x2*x3, x3*x1, x4, x5^2, x1*x3*x1*x3 ]
[ x5, x2*x4, x3*x1*x3*x4, x3*x4, x5^2, x1*x3*x1*x3 ]
[ x2, x3*x1*x3, x3, x4, x5^2, x1*x3*x1*x3 ]
[ x4*x5, x2, x3*x1*x3, x3, x5^2, x1*x3*x1*x3 ]
[ x3*x5, x2, x3*x1*x3, x4, x5^2, x1*x3*x1*x3 ]
[ x4*x5, x2, x3*x1*x3, x3*x4, x5^2, x1*x3*x1*x3 ]
[ x3*x1*x3*x5, x2, x3, x4, x5^2, x1*x3*x1*x3 ]
[ x4*x5, x2, x3*x1*x3*x4, x3, x5^2, x1*x3*x1*x3 ]
[ x3*x5, x2, x3*x1, x4, x5^2, x1*x3*x1*x3 ]
[ x4*x5, x2, x3*x1*x3*x4, x3*x4, x5^2, x1*x3*x1*x3 ]
[ x5*x2, x3*x1*x3, x3, x4, x5^2, x1*x3*x1*x3 ]
[ x4*x5, x2*x4, x3*x1*x3, x3, x5^2, x1*x3*x1*x3 ]
[ x3*x5, x2*x3, x3*x1*x3, x4, x5^2, x1*x3*x1*x3 ]
[ x4*x5, x2*x4, x3*x1*x3, x3*x4, x5^2, x1*x3*x1*x3 ]
[ x3*x1*x3*x5, x2*x3*x1*x3, x3, x4, x5^2, x1*x3*x1*x3 ]
[ x4*x5, x2*x4, x3*x1*x3*x4, x3, x5^2, x1*x3*x1*x3 ]
[ x3*x5, x2*x3, x3*x1, x4, x5^2, x1*x3*x1*x3 ]
[ x4*x5, x2*x4, x3*x1*x3*x4, x3*x4, x5^2, x1*x3*x1*x3 ]
[ x5, x4, x3*x2*x3, x1, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x5, x4, x3*x2*x3, x1*x2*x3*x2, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x5, x4, x3*x2*x3, x2*x3*x2, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x5, x4, x1, x1*x2*x3*x2, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x5, x4, x1*x2*x3, x1, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x5, x4, x1*x3*x2*x3, x1*x2*x3*x2, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x5, x4, x1*x2*x3, x2*x3*x2, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x5, x3*x2*x3, x1, x1*x2*x3*x2, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x5, x1*x2*x3*x2*x4, x3*x2*x3, x1, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x5, x4*x1, x3*x2*x3, x1*x2*x3*x2, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x5, x1*x2*x3*x2*x4, x3*x2*x3, x2*x3*x2, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x5, x3*x2*x3*x4, x1, x1*x2*x3*x2, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x5, x1*x2*x3*x2*x4, x1*x2*x3, x1, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x5, x4*x1, x1*x3*x2*x3, x1*x2*x3*x2, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x5, x1*x2*x3*x2*x4, x1*x2*x3, x2*x3*x2, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x4, x3*x2*x3, x1, x1*x2*x3*x2, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x1*x2*x3*x2*x5, x4, x3*x2*x3, x1, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x1*x5, x4, x3*x2*x3, x1*x2*x3*x2, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x1*x2*x3*x2*x5, x4, x3*x2*x3, x2*x3*x2, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x3*x2*x3*x5, x4, x1, x1*x2*x3*x2, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x1*x2*x3*x2*x5, x4, x1*x2*x3, x1, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x1*x5, x4, x1*x3*x2*x3, x1*x2*x3*x2, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x1*x2*x3*x2*x5, x4, x1*x2*x3, x2*x3*x2, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x4*x5, x3*x2*x3, x1, x1*x2*x3*x2, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x1*x2*x3*x2*x5, x1*x2*x3*x2*x4, x3*x2*x3, x1, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x1*x5, x4*x1, x3*x2*x3, x1*x2*x3*x2, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x1*x2*x3*x2*x5, x1*x2*x3*x2*x4, x3*x2*x3, x2*x3*x2, x1*x4*x1*x4,
x2*x3*x2*x3 ]
[ x3*x2*x3*x5, x3*x2*x3*x4, x1, x1*x2*x3*x2, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x1*x2*x3*x2*x5, x1*x2*x3*x2*x4, x1*x2*x3, x1, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x1*x5, x4*x1, x1*x3*x2*x3, x1*x2*x3*x2, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x1*x2*x3*x2*x5, x1*x2*x3*x2*x4, x1*x2*x3, x2*x3*x2, x1*x4*x1*x4,
x2*x3*x2*x3 ]
[ x5, x2*x1*x2*x3*x4*x3, x1, x2, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x5, x2*x1*x2*x3*x4*x3, x1, x1*x2*x1*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x5, x2*x1*x2*x3*x4*x3, x1, x1*x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x5, x2*x1*x2*x3*x4*x3, x2, x1*x2*x1*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x5, x2*x1*x2*x3*x4*x3, x2*x1*x4*x3*x4, x2, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x5, x2*x1*x2*x3*x4*x3, x1*x2, x1*x2*x1*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x5, x2*x1*x2*x3*x4*x3, x2*x1*x4*x3*x4, x1*x2*x1*x2*x4*x3*x4,
x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x5, x1, x2, x1*x2*x1*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x5, x2*x1*x4*x3, x1, x2, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x5, x1*x2*x3*x4*x3, x1, x1*x2*x1*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x5, x2*x1*x4*x3, x1, x1*x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x5, x1*x2*x1*x2*x3*x4*x3, x2, x1*x2*x1*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x5, x2*x1*x4*x3, x2*x1*x4*x3*x4, x2, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x5, x1*x2*x3*x4*x3, x1*x2, x1*x2*x1*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x5, x2*x1*x4*x3, x2*x1*x4*x3*x4, x1*x2*x1*x2*x4*x3*x4,
x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x3, x1, x2, x1*x2*x1*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x1*x2*x1*x4*x3*x4*x5, x2*x1*x2*x3*x4*x3, x1, x2, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x2*x5, x2*x1*x2*x3*x4*x3, x1, x1*x2*x1*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x1*x2*x1*x4*x3*x4*x5, x2*x1*x2*x3*x4*x3, x1, x1*x2*x1*x2*x4*x3*x4,
x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x1*x5, x2*x1*x2*x3*x4*x3, x2, x1*x2*x1*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x1*x2*x1*x4*x3*x4*x5, x2*x1*x2*x3*x4*x3, x2*x1*x4*x3*x4, x2,
x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x2*x5, x2*x1*x2*x3*x4*x3, x1*x2, x1*x2*x1*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x1*x2*x1*x4*x3*x4*x5, x2*x1*x2*x3*x4*x3, x2*x1*x4*x3*x4,
x1*x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x3*x5, x1, x2, x1*x2*x1*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x1*x2*x1*x4*x3*x4*x5, x2*x1*x4*x3, x1, x2, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x2*x5, x1*x2*x3*x4*x3, x1, x1*x2*x1*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x1*x2*x1*x4*x3*x4*x5, x2*x1*x4*x3, x1, x1*x2*x1*x2*x4*x3*x4,
x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x1*x5, x1*x2*x1*x2*x3*x4*x3, x2, x1*x2*x1*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x1*x2*x1*x4*x3*x4*x5, x2*x1*x4*x3, x2*x1*x4*x3*x4, x2,
x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x2*x5, x1*x2*x3*x4*x3, x1*x2, x1*x2*x1*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x1*x2*x1*x4*x3*x4*x5, x2*x1*x4*x3, x2*x1*x4*x3*x4, x1*x2*x1*x2*x4*x3*x4,
x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x5, x2*x4, x3*x2*x3, x1, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x5, x2*x4, x3*x2*x3, x3, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x5, x2*x4, x3*x2*x3, x1*x3, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x5, x2*x4, x1, x3, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x5, x2*x4, x3*x2, x1, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x5, x2*x4, x1*x3*x2*x3, x3, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x5, x2*x4, x3*x2, x1*x3, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x5, x3*x2*x3, x1, x3, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x5, x3*x2*x4, x3*x2*x3, x1, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x5, x2*x4*x1, x3*x2*x3, x3, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x5, x3*x2*x4, x3*x2*x3, x1*x3, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x5, x2*x3*x2*x3*x4, x1, x3, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x5, x3*x2*x4, x3*x2, x1, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x5, x2*x4*x1, x1*x3*x2*x3, x3, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x5, x3*x2*x4, x3*x2, x1*x3, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x2*x4, x3*x2*x3, x1, x3, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x3*x5, x2*x4, x3*x2*x3, x1, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x1*x5, x2*x4, x3*x2*x3, x3, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x3*x5, x2*x4, x3*x2*x3, x1*x3, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x3*x2*x3*x5, x2*x4, x1, x3, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x3*x5, x2*x4, x3*x2, x1, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x1*x5, x2*x4, x1*x3*x2*x3, x3, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x3*x5, x2*x4, x3*x2, x1*x3, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x2*x4*x5, x3*x2*x3, x1, x3, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x3*x5, x3*x2*x4, x3*x2*x3, x1, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x1*x5, x2*x4*x1, x3*x2*x3, x3, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x3*x5, x3*x2*x4, x3*x2*x3, x1*x3, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x3*x2*x3*x5, x2*x3*x2*x3*x4, x1, x3, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x3*x5, x3*x2*x4, x3*x2, x1, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x1*x5, x2*x4*x1, x1*x3*x2*x3, x3, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x3*x5, x3*x2*x4, x3*x2, x1*x3, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x5, x1*x2*x1*x3*x4*x3, x2*x1*x2, x2, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x5, x1*x2*x1*x3*x4*x3, x2*x1*x2, x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x5, x1*x2*x1*x3*x4*x3, x2*x1*x2, x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x5, x1*x2*x1*x3*x4*x3, x2, x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x5, x1*x2*x1*x3*x4*x3, x4*x3*x4, x2, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x5, x1*x2*x1*x3*x4*x3, x2*x1, x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x5, x1*x2*x1*x3*x4*x3, x4*x3*x4, x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x5, x2*x1*x2, x2, x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x5, x1*x2*x4*x3, x2*x1*x2, x2, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x5, x1*x2*x1*x2*x3*x4*x3, x2*x1*x2, x2*x1*x2*x4*x3*x4,
x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x5, x1*x2*x4*x3, x2*x1*x2, x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x5, x1*x2*x3*x4*x3, x2, x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x5, x1*x2*x4*x3, x4*x3*x4, x2, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x5, x1*x2*x1*x2*x3*x4*x3, x2*x1, x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x5, x1*x2*x4*x3, x4*x3*x4, x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x1*x2*x1*x3*x4*x3, x2*x1*x2, x2, x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x2*x1*x2*x4*x3*x4*x5, x1*x2*x1*x3*x4*x3, x2*x1*x2, x2,
x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x2*x5, x1*x2*x1*x3*x4*x3, x2*x1*x2, x2*x1*x2*x4*x3*x4,
x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x2*x1*x2*x4*x3*x4*x5, x1*x2*x1*x3*x4*x3, x2*x1*x2, x1*x2*x4*x3*x4,
x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x2*x1*x2*x5, x1*x2*x1*x3*x4*x3, x2, x2*x1*x2*x4*x3*x4,
x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x2*x1*x2*x4*x3*x4*x5, x1*x2*x1*x3*x4*x3, x4*x3*x4, x2,
x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x2*x5, x1*x2*x1*x3*x4*x3, x2*x1, x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x2*x1*x2*x4*x3*x4*x5, x1*x2*x1*x3*x4*x3, x4*x3*x4, x1*x2*x4*x3*x4,
x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x1*x2*x1*x3*x4*x3*x5, x2*x1*x2, x2, x2*x1*x2*x4*x3*x4,
x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x2*x1*x2*x4*x3*x4*x5, x1*x2*x4*x3, x2*x1*x2, x2, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x2*x5, x1*x2*x1*x2*x3*x4*x3, x2*x1*x2, x2*x1*x2*x4*x3*x4,
x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x2*x1*x2*x4*x3*x4*x5, x1*x2*x4*x3, x2*x1*x2, x1*x2*x4*x3*x4,
x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x2*x1*x2*x5, x1*x2*x3*x4*x3, x2, x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x2*x1*x2*x4*x3*x4*x5, x1*x2*x4*x3, x4*x3*x4, x2, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x2*x5, x1*x2*x1*x2*x3*x4*x3, x2*x1, x2*x1*x2*x4*x3*x4,
x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x2*x1*x2*x4*x3*x4*x5, x1*x2*x4*x3, x4*x3*x4, x1*x2*x4*x3*x4,
x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1, x2, x1*x2*x1*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1, x2, x4, x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1, x2, x1*x2*x1*x4*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1, x1*x2*x1*x5*x3*x5, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1, x2*x4, x1*x2*x1*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1, x1*x2*x1*x2*x5*x3*x5, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1, x2*x4, x1*x2*x1*x4*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x2, x1*x2*x1*x5*x3*x5, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1*x4, x2, x1*x2*x1*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x2*x1*x5*x3*x5, x2, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1*x4, x2, x1*x2*x1*x4*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1*x2, x1*x2*x1*x5*x3*x5, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1*x4, x2*x4, x1*x2*x1*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x2*x1*x5*x3*x5, x1*x2*x1*x2*x5*x3*x5, x4,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1*x4, x2*x4, x1*x2*x1*x4*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x1, x2, x1*x2*x1*x5*x3*x5, x4, x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x1, x2, x1*x2*x1*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x5*x3, x1, x2, x4, x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x1, x2, x1*x2*x1*x4*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x1*x2*x3*x5*x3, x1, x1*x2*x1*x5*x3*x5, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x1, x2*x4, x1*x2*x1*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x5*x3, x1, x1*x2*x1*x2*x5*x3*x5, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x1, x2*x4, x1*x2*x1*x4*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x3*x5*x3, x2, x1*x2*x1*x5*x3*x5, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x1*x4, x2, x1*x2*x1*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x5*x3, x2*x1*x5*x3*x5, x2, x4, x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x1*x4, x2, x1*x2*x1*x4*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x1*x2*x3*x5*x3, x1*x2, x1*x2*x1*x5*x3*x5, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x1*x4, x2*x4, x1*x2*x1*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x2*x1*x5*x3, x2*x1*x5*x3*x5, x1*x2*x1*x2*x5*x3*x5, x4,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x1*x4, x2*x4, x1*x2*x1*x4*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1, x2, x1*x2*x1*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1, x2, x4, x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1, x2, x1*x2*x1*x4*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1, x1*x2*x1*x5*x3*x5, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1, x2*x4, x1*x2*x1*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1, x1*x2*x1*x2*x5*x3*x5, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1, x2*x4, x1*x2*x1*x4*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x2, x1*x2*x1*x5*x3*x5, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1*x4, x2, x1*x2*x1*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x2*x1*x5*x3*x5, x2, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1*x4, x2, x1*x2*x1*x4*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1*x2, x1*x2*x1*x5*x3*x5, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1*x4, x2*x4, x1*x2*x1*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x2*x1*x5*x3*x5, x1*x2*x1*x2*x5*x3*x5, x4,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1*x4, x2*x4, x1*x2*x1*x4*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x1, x2, x1*x2*x1*x5*x3*x5, x4, x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x1, x2, x1*x2*x1*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x5*x3, x1, x2, x4, x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x1, x2, x1*x2*x1*x4*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x1*x2*x3*x5*x3, x1, x1*x2*x1*x5*x3*x5, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x1, x2*x4, x1*x2*x1*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x5*x3, x1, x1*x2*x1*x2*x5*x3*x5, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x1, x2*x4, x1*x2*x1*x4*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x3*x5*x3, x2, x1*x2*x1*x5*x3*x5, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x1*x4, x2, x1*x2*x1*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x5*x3, x2*x1*x5*x3*x5, x2, x4, x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x1*x4, x2, x1*x2*x1*x4*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x1*x2*x3*x5*x3, x1*x2, x1*x2*x1*x5*x3*x5, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x1*x4, x2*x4, x1*x2*x1*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x2*x1*x5*x3, x2*x1*x5*x3*x5, x1*x2*x1*x2*x5*x3*x5, x4,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x1*x4, x2*x4, x1*x2*x1*x4*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1, x2, x1*x2*x1*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1, x2, x4, x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1, x2, x1*x2*x1*x4*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1, x1*x2*x1*x5*x3*x5, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1, x2*x4, x1*x2*x1*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1, x1*x2*x1*x2*x5*x3*x5, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1, x2*x4, x1*x2*x1*x4*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x2, x1*x2*x1*x5*x3*x5, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1*x4, x2, x1*x2*x1*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x2*x1*x5*x3*x5, x2, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1*x4, x2, x1*x2*x1*x4*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1*x2, x1*x2*x1*x5*x3*x5, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1*x4, x2*x4, x1*x2*x1*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x2*x1*x5*x3*x5, x1*x2*x1*x2*x5*x3*x5, x4,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1*x4, x2*x4, x1*x2*x1*x4*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x1, x2, x1*x2*x1*x5*x3*x5, x4, x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x1, x2, x1*x2*x1*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x5*x3, x1, x2, x4, x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x1, x2, x1*x2*x1*x4*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x1*x2*x3*x5*x3, x1, x1*x2*x1*x5*x3*x5, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x1, x2*x4, x1*x2*x1*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x5*x3, x1, x1*x2*x1*x2*x5*x3*x5, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x1, x2*x4, x1*x2*x1*x4*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x3*x5*x3, x2, x1*x2*x1*x5*x3*x5, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x1*x4, x2, x1*x2*x1*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x5*x3, x2*x1*x5*x3*x5, x2, x4, x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x1*x4, x2, x1*x2*x1*x4*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x1*x2*x3*x5*x3, x1*x2, x1*x2*x1*x5*x3*x5, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x1*x4, x2*x4, x1*x2*x1*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x2*x1*x5*x3, x2*x1*x5*x3*x5, x1*x2*x1*x2*x5*x3*x5, x4,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x1*x4, x2*x4, x1*x2*x1*x4*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x1, x2, x1*x2*x1*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x1, x2, x4, x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x1, x2, x1*x2*x1*x4*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x1, x1*x2*x1*x5*x3*x5, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x1, x2*x4, x1*x2*x1*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x1, x1*x2*x1*x2*x5*x3*x5, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x1, x2*x4, x1*x2*x1*x4*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x2, x1*x2*x1*x5*x3*x5, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x1*x4, x2, x1*x2*x1*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x2*x1*x5*x3*x5, x2, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x1*x4, x2, x1*x2*x1*x4*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x1*x2, x1*x2*x1*x5*x3*x5, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x1*x4, x2*x4, x1*x2*x1*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x2*x1*x5*x3*x5, x1*x2*x1*x2*x5*x3*x5, x4,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x1*x4, x2*x4, x1*x2*x1*x4*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x1, x2, x1*x2*x1*x5*x3*x5, x4, x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1, x2, x1*x2*x1*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x4*x5*x3, x1, x2, x4, x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1, x2, x1*x2*x1*x4*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x1*x2*x3*x4*x5*x3, x1, x1*x2*x1*x5*x3*x5, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1, x2*x4, x1*x2*x1*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x4*x5*x3, x1, x1*x2*x1*x2*x5*x3*x5, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1, x2*x4, x1*x2*x1*x4*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x3*x4*x5*x3, x2, x1*x2*x1*x5*x3*x5, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1*x4, x2, x1*x2*x1*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x4*x5*x3, x2*x1*x5*x3*x5, x2, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1*x4, x2, x1*x2*x1*x4*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x1*x2*x3*x4*x5*x3, x1*x2, x1*x2*x1*x5*x3*x5, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1*x4, x2*x4, x1*x2*x1*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x4*x5*x3, x2*x1*x5*x3*x5, x1*x2*x1*x2*x5*x3*x5, x4,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1*x4, x2*x4, x1*x2*x1*x4*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x1, x2, x1*x2*x1*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x1, x2, x4, x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x1, x2, x1*x2*x1*x4*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x1, x1*x2*x1*x5*x3*x5, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x1, x2*x4, x1*x2*x1*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x1, x1*x2*x1*x2*x5*x3*x5, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x1, x2*x4, x1*x2*x1*x4*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x2, x1*x2*x1*x5*x3*x5, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x1*x4, x2, x1*x2*x1*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x2*x1*x5*x3*x5, x2, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x1*x4, x2, x1*x2*x1*x4*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x1*x2, x1*x2*x1*x5*x3*x5, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x1*x4, x2*x4, x1*x2*x1*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x2*x1*x5*x3*x5, x1*x2*x1*x2*x5*x3*x5, x4,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3, x1*x4, x2*x4, x1*x2*x1*x4*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x1, x2, x1*x2*x1*x5*x3*x5, x4, x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1, x2, x1*x2*x1*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x4*x5*x3, x1, x2, x4, x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1, x2, x1*x2*x1*x4*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x1*x2*x3*x4*x5*x3, x1, x1*x2*x1*x5*x3*x5, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1, x2*x4, x1*x2*x1*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x4*x5*x3, x1, x1*x2*x1*x2*x5*x3*x5, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1, x2*x4, x1*x2*x1*x4*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x3*x4*x5*x3, x2, x1*x2*x1*x5*x3*x5, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1*x4, x2, x1*x2*x1*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x4*x5*x3, x2*x1*x5*x3*x5, x2, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1*x4, x2, x1*x2*x1*x4*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x1*x2*x3*x4*x5*x3, x1*x2, x1*x2*x1*x5*x3*x5, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1*x4, x2*x4, x1*x2*x1*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x2*x1*x4*x5*x3, x2*x1*x5*x3*x5, x1*x2*x1*x2*x5*x3*x5, x4,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1*x4, x2*x4, x1*x2*x1*x4*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x1*x3*x4^2*x5, x1, x2, x3, x4^2, x1*x2*x1*x2 ]
[ x1*x3*x4^2*x5, x1, x2, x2*x4, x4^2, x1*x2*x1*x2 ]
[ x1*x3*x4^2*x5, x1, x2, x2*x3*x4, x4^2, x1*x2*x1*x2 ]
[ x1*x3*x4^2*x5, x1, x3, x2*x4, x4^2, x1*x2*x1*x2 ]
[ x1*x3*x4^2*x5, x1, x4, x3, x4^2, x1*x2*x1*x2 ]
[ x1*x3*x4^2*x5, x1, x2*x3, x2*x4, x4^2, x1*x2*x1*x2 ]
[ x1*x3*x4^2*x5, x1, x4, x2*x3*x4, x4^2, x1*x2*x1*x2 ]
[ x1*x3*x4^2*x5, x2, x3, x2*x4, x4^2, x1*x2*x1*x2 ]
[ x1*x3*x4^2*x5, x1*x2*x4, x2, x3, x4^2, x1*x2*x1*x2 ]
[ x1*x3*x4^2*x5, x1*x3, x2, x2*x4, x4^2, x1*x2*x1*x2 ]
[ x1*x3*x4^2*x5, x1*x2*x4, x2, x2*x3*x4, x4^2, x1*x2*x1*x2 ]
[ x1*x3*x4^2*x5, x1*x2, x3, x2*x4, x4^2, x1*x2*x1*x2 ]
[ x1*x3*x4^2*x5, x1*x2*x4, x4, x3, x4^2, x1*x2*x1*x2 ]
[ x1*x3*x4^2*x5, x1*x3, x2*x3, x2*x4, x4^2, x1*x2*x1*x2 ]
[ x1*x3*x4^2*x5, x1*x2*x4, x4, x2*x3*x4, x4^2, x1*x2*x1*x2 ]
[ x1, x2, x3, x2*x4, x4^2, x1*x2*x1*x2 ]
[ x1*x2*x3*x4*x5, x1, x2, x3, x4^2, x1*x2*x1*x2 ]
[ x1*x4^2*x5, x1, x2, x2*x4, x4^2, x1*x2*x1*x2 ]
[ x1*x2*x3*x4*x5, x1, x2, x2*x3*x4, x4^2, x1*x2*x1*x2 ]
[ x2*x1*x3*x4^2*x5, x1, x3, x2*x4, x4^2, x1*x2*x1*x2 ]
[ x1*x2*x3*x4*x5, x1, x4, x3, x4^2, x1*x2*x1*x2 ]
[ x1*x4^2*x5, x1, x2*x3, x2*x4, x4^2, x1*x2*x1*x2 ]
[ x1*x2*x3*x4*x5, x1, x4, x2*x3*x4, x4^2, x1*x2*x1*x2 ]
[ x3*x4^2*x5, x2, x3, x2*x4, x4^2, x1*x2*x1*x2 ]
[ x1*x2*x3*x4*x5, x1*x2*x4, x2, x3, x4^2, x1*x2*x1*x2 ]
[ x1*x4^2*x5, x1*x3, x2, x2*x4, x4^2, x1*x2*x1*x2 ]
[ x1*x2*x3*x4*x5, x1*x2*x4, x2, x2*x3*x4, x4^2, x1*x2*x1*x2 ]
[ x2*x1*x3*x4^2*x5, x1*x2, x3, x2*x4, x4^2, x1*x2*x1*x2 ]
[ x1*x2*x3*x4*x5, x1*x2*x4, x4, x3, x4^2, x1*x2*x1*x2 ]
[ x1*x4^2*x5, x1*x3, x2*x3, x2*x4, x4^2, x1*x2*x1*x2 ]
[ x1*x2*x3*x4*x5, x1*x2*x4, x4, x2*x3*x4, x4^2, x1*x2*x1*x2 ]
[ x1^3*x2, x1^2*x2^2, x1^2 ]
[ x1, x1^2*x2^2, x1^2 ]
[ x2, x1^2*x2^2, x1^2 ]
[ x1*x2, x1^2*x2^2, x1^2 ]
[ x1, x1^2*x2^2, x1^2 ]
[ x1^2*x2, x1^2*x2^2, x1^2 ]
[ x2, x2^2, x1^2 ]
[ x1, x2^2, x1^2 ]
[ x1*x2, x2^2, x1^2 ]
[ x2, x2^2, x1^2 ]
[ x1, x2^2, x1^2 ]
[ x1*x2, x2^2, x1^2 ]
[ x3, x2, x2^2 ]
[ x3, x1, x2^2 ]
[ x3, x1*x2, x2^2 ]
[ x2, x1, x2^2 ]
[ x1*x3, x2, x2^2 ]
[ x2*x3, x1, x2^2 ]
[ x1*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, 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, 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, x2^2 ]
[ x3, x1*x2^2, x2^2 ]
[ x3, x1*x2*x1, x2^2 ]
[ x2*x1, x1*x2^2, x2^2 ]
[ x1*x2^2*x3, x2*x1, x2^2 ]
[ x2*x1*x3, x1*x2^2, x2^2 ]
[ x1*x2^2*x3, x1*x2*x1, x2^2 ]
[ x3, x1, x2^2 ]
[ x3, x2, x2^2 ]
[ x3, x1*x2, x2^2 ]
[ x1, x2, x2^2 ]
[ x2^3*x3, x1, x2^2 ]
[ x1*x3, x2, x2^2 ]
[ x2^3*x3, x1*x2, x2^2 ]
[ x2*x3, x1, x1^2 ]
[ x2*x3, x2, x1^2 ]
[ x2*x3, x1*x2, x1^2 ]
[ x1, x2, x1^2 ]
[ x3, x1, x1^2 ]
[ x1^3*x2*x3, x2, x1^2 ]
[ x3, x1*x2, x1^2 ]
[ x2*x3, x1, x1^2 ]
[ x2*x3, x2, x1^2 ]
[ x2*x3, x1*x2, x1^2 ]
[ x1, x2, x1^2 ]
[ x3, x1, x1^2 ]
[ x1^3*x2*x3, x2, x1^2 ]
[ x3, x1*x2, x1^2 ]
[ 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 ]
[ x1^3*x2*x1, x1*x2*x1*x2, x1^3*x2*x1*x2 ]
[ x1, x1*x2*x1*x2, x1^3*x2*x1*x2 ]
[ x1*x2, x1*x2*x1*x2, x1^3*x2*x1*x2 ]
[ x2, x1*x2*x1*x2, x1^3*x2*x1*x2 ]
[ x1, x1*x2*x1*x2, x1^3*x2*x1*x2 ]
[ x2*x1, x1*x2*x1*x2, x1^3*x2*x1*x2 ]
[ x1*x2*x1*x2*x3, x2, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x3, x2*x1*x2, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x3, x1*x2, x1*x2*x1*x2 ]
[ x2, x2*x1*x2, x1*x2*x1*x2 ]
[ x1*x3, x2, x1*x2*x1*x2 ]
[ x1*x2*x1*x3, x2*x1*x2, x1*x2*x1*x2 ]
[ x1*x3, x1*x2, x1*x2*x1*x2 ]
[ x2, x1^2, x1^3*x2*x1*x2 ]
[ x1, x1^2, x1^3*x2*x1*x2 ]
[ x2*x1, x1^2, x1^3*x2*x1*x2 ]
[ x2, x1^2, x1^3*x2*x1*x2 ]
[ x1, x1^2, x1^3*x2*x1*x2 ]
[ x2*x1, x1^2, x1^3*x2*x1*x2 ]
[ x3, x1, x2^2 ]
[ x3, x2, x2^2 ]
[ x3, x1*x2, x2^2 ]
[ x1, x2, x2^2 ]
[ x2^3*x3, x1, x2^2 ]
[ x1*x3, x2, x2^2 ]
[ x2^3*x3, x1*x2, x2^2 ]
[ 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, x2, x2^2 ]
[ x3, x1, x2^2 ]
[ x3, x1*x2, x2^2 ]
[ x2, x1, x2^2 ]
[ x1*x3, x2, x2^2 ]
[ x2*x3, x1, x2^2 ]
[ x1*x3, x1*x2, x2^2 ]
[ x1^2*x2*x3, x1^2*x2, x1^2 ]
[ x1^2*x2*x3, x1, x1^2 ]
[ x1^2*x2*x3, x1^3*x2, x1^2 ]
[ x1^2*x2, x1, x1^2 ]
[ x1^3*x2*x3, x1^2*x2, x1^2 ]
[ x3, x1, x1^2 ]
[ x1^3*x2*x3, x1^3*x2, x1^2 ]
[ x1*x2, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x2*x1*x2^3, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x2, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x2*x1, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x2*x1*x2^3, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x2*x1, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x2, x2^2, x1*x2*x1*x2^3 ]
[ x1, x2^2, x1*x2*x1*x2^3 ]
[ x2*x1, x2^2, x1*x2*x1*x2^3 ]
[ x2, x2^2, x1*x2*x1*x2^3 ]
[ x1, x2^2, x1*x2*x1*x2^3 ]
[ x2*x1, x2^2, x1*x2*x1*x2^3 ]
[ x1*x2, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x2*x1*x2^3, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x2, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x2*x1, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x2*x1*x2^3, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x2*x1, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1^2*x2, x2^2, x1^2 ]
[ x1, x2^2, x1^2 ]
[ x1*x2, x2^2, x1^2 ]
[ x1^2*x2, x2^2, x1^2 ]
[ x1, x2^2, x1^2 ]
[ x1*x2, x2^2, x1^2 ]
[ x1^2*x2, x2^2, x1^2 ]
[ x1, x2^2, x1^2 ]
[ x1*x2, x2^2, x1^2 ]
[ x1^2*x2, x2^2, x1^2 ]
[ x1, x2^2, x1^2 ]
[ x1*x2, x2^2, x1^2 ]
[ x4*x6, x2*x1*x2*x3*x5*x3, x1, x2, x1*x2*x1*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x4*x6, x2*x1*x2*x3*x5*x3, x1, x2, x4, x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x4*x6, x2*x1*x2*x3*x5*x3, x1, x2, x1*x2*x1*x4*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x4*x6, x2*x1*x2*x3*x5*x3, x1, x1*x2*x1*x5*x3*x5, x4,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x4*x6, x2*x1*x2*x3*x5*x3, x1, x2*x4, x1*x2*x1*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x4*x6, x2*x1*x2*x3*x5*x3, x1, x1*x2*x1*x2*x5*x3*x5, x4,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x4*x6, x2*x1*x2*x3*x5*x3, x1, x2*x4, x1*x2*x1*x4*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x4*x6, x2*x1*x2*x3*x5*x3, x2, x1*x2*x1*x5*x3*x5, x4,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x4*x6, x2*x1*x2*x3*x5*x3, x1*x4, x2, x1*x2*x1*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x4*x6, x2*x1*x2*x3*x5*x3, x2*x1*x5*x3*x5, x2, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x4*x6, x2*x1*x2*x3*x5*x3, x1*x4, x2, x1*x2*x1*x4*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x4*x6, x2*x1*x2*x3*x5*x3, x1*x2, x1*x2*x1*x5*x3*x5, x4,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x4*x6, x2*x1*x2*x3*x5*x3, x1*x4, x2*x4, x1*x2*x1*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x4*x6, x2*x1*x2*x3*x5*x3, x2*x1*x5*x3*x5, x1*x2*x1*x2*x5*x3*x5, x4,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x4*x6, x2*x1*x2*x3*x5*x3, x1*x4, x2*x4, x1*x2*x1*x4*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x4*x6, x1, x2, x1*x2*x1*x5*x3*x5, x4, x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x4*x6, x2*x1*x2*x3*x4*x5*x3, x1, x2, x1*x2*x1*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x4*x6, x2*x1*x5*x3, x1, x2, x4, x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x4*x6, x2*x1*x2*x3*x4*x5*x3, x1, x2, x1*x2*x1*x4*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x4*x6, x1*x2*x3*x5*x3, x1, x1*x2*x1*x5*x3*x5, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x4*x6, x2*x1*x2*x3*x4*x5*x3, x1, x2*x4, x1*x2*x1*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x4*x6, x2*x1*x5*x3, x1, x1*x2*x1*x2*x5*x3*x5, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x4*x6, x2*x1*x2*x3*x4*x5*x3, x1, x2*x4, x1*x2*x1*x4*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x4*x6, x1*x2*x1*x2*x3*x5*x3, x2, x1*x2*x1*x5*x3*x5, x4,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x4*x6, x2*x1*x2*x3*x4*x5*x3, x1*x4, x2, x1*x2*x1*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x4*x6, x2*x1*x5*x3, x2*x1*x5*x3*x5, x2, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x4*x6, x2*x1*x2*x3*x4*x5*x3, x1*x4, x2, x1*x2*x1*x4*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x4*x6, x1*x2*x3*x5*x3, x1*x2, x1*x2*x1*x5*x3*x5, x4,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x4*x6, x2*x1*x2*x3*x4*x5*x3, x1*x4, x2*x4, x1*x2*x1*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x4*x6, x2*x1*x5*x3, x2*x1*x5*x3*x5, x1*x2*x1*x2*x5*x3*x5, x4,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x4*x6, x2*x1*x2*x3*x4*x5*x3, x1*x4, x2*x4, x1*x2*x1*x4*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x5*x3, x1, x2, x1*x2*x1*x5*x3*x5, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x6, x2*x1*x2*x3*x5*x3, x1, x2, x1*x2*x1*x5*x3*x5, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x1*x2*x1*x4*x5*x3*x5*x6, x2*x1*x2*x3*x5*x3, x1, x2, x4,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x6, x2*x1*x2*x3*x5*x3, x1, x2, x1*x2*x1*x4*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x2*x4*x6, x2*x1*x2*x3*x5*x3, x1, x1*x2*x1*x5*x3*x5, x4,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x6, x2*x1*x2*x3*x5*x3, x1, x2*x4, x1*x2*x1*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x1*x2*x1*x4*x5*x3*x5*x6, x2*x1*x2*x3*x5*x3, x1, x1*x2*x1*x2*x5*x3*x5, x4,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x6, x2*x1*x2*x3*x5*x3, x1, x2*x4, x1*x2*x1*x4*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x1*x4*x6, x2*x1*x2*x3*x5*x3, x2, x1*x2*x1*x5*x3*x5, x4,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x6, x2*x1*x2*x3*x5*x3, x1*x4, x2, x1*x2*x1*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x1*x2*x1*x4*x5*x3*x5*x6, x2*x1*x2*x3*x5*x3, x2*x1*x5*x3*x5, x2, x4,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x6, x2*x1*x2*x3*x5*x3, x1*x4, x2, x1*x2*x1*x4*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x2*x4*x6, x2*x1*x2*x3*x5*x3, x1*x2, x1*x2*x1*x5*x3*x5, x4,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x6, x2*x1*x2*x3*x5*x3, x1*x4, x2*x4, x1*x2*x1*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x1*x2*x1*x4*x5*x3*x5*x6, x2*x1*x2*x3*x5*x3, x2*x1*x5*x3*x5,
x1*x2*x1*x2*x5*x3*x5, x4, x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x6, x2*x1*x2*x3*x5*x3, x1*x4, x2*x4, x1*x2*x1*x4*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x5*x3*x6, x1, x2, x1*x2*x1*x5*x3*x5, x4,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x6, x2*x1*x2*x3*x4*x5*x3, x1, x2, x1*x2*x1*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x1*x2*x1*x4*x5*x3*x5*x6, x2*x1*x5*x3, x1, x2, x4, x1*x2*x1*x2*x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x6, x2*x1*x2*x3*x4*x5*x3, x1, x2, x1*x2*x1*x4*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x2*x4*x6, x1*x2*x3*x5*x3, x1, x1*x2*x1*x5*x3*x5, x4,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x6, x2*x1*x2*x3*x4*x5*x3, x1, x2*x4, x1*x2*x1*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x1*x2*x1*x4*x5*x3*x5*x6, x2*x1*x5*x3, x1, x1*x2*x1*x2*x5*x3*x5, x4,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x6, x2*x1*x2*x3*x4*x5*x3, x1, x2*x4, x1*x2*x1*x4*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x1*x4*x6, x1*x2*x1*x2*x3*x5*x3, x2, x1*x2*x1*x5*x3*x5, x4,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x6, x2*x1*x2*x3*x4*x5*x3, x1*x4, x2, x1*x2*x1*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x1*x2*x1*x4*x5*x3*x5*x6, x2*x1*x5*x3, x2*x1*x5*x3*x5, x2, x4,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x6, x2*x1*x2*x3*x4*x5*x3, x1*x4, x2, x1*x2*x1*x4*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x2*x4*x6, x1*x2*x3*x5*x3, x1*x2, x1*x2*x1*x5*x3*x5, x4,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x6, x2*x1*x2*x3*x4*x5*x3, x1*x4, x2*x4, x1*x2*x1*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x1*x2*x1*x4*x5*x3*x5*x6, x2*x1*x5*x3, x2*x1*x5*x3*x5, x1*x2*x1*x2*x5*x3*x5,
x4, x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x6, x2*x1*x2*x3*x4*x5*x3, x1*x4, x2*x4, x1*x2*x1*x4*x5*x3*x5,
x1*x2*x1*x2*x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x3, x1*x2, x1^2*x2^2, x1^2 ]
[ x3, x1, x1^2*x2^2, x1^2 ]
[ x3, x1^2*x2, x1^2*x2^2, x1^2 ]
[ x1*x2, x1, x1^2*x2^2, x1^2 ]
[ x1*x3, x1*x2, x1^2*x2^2, x1^2 ]
[ x1*x2*x3, x1, x1^2*x2^2, x1^2 ]
[ x1*x3, x1^2*x2, x1^2*x2^2, x1^2 ]
[ x1*x4, x3, x2, x3^2 ]
[ x1*x4, x3, x1, x3^2 ]
[ x1*x4, x3, x1*x2, x3^2 ]
[ x1*x4, x2, x1, x3^2 ]
[ x1*x4, x1*x3, x2, x3^2 ]
[ x1*x4, x2*x3, x1, x3^2 ]
[ x1*x4, x1*x3, x1*x2, x3^2 ]
[ x3, x2, x1, x3^2 ]
[ x4, x3, x2, x3^2 ]
[ x1*x2*x4, x3, x1, x3^2 ]
[ x4, x3, x1*x2, x3^2 ]
[ x1*x3*x4, x2, x1, x3^2 ]
[ x4, x1*x3, x2, x3^2 ]
[ x1*x2*x4, x2*x3, x1, x3^2 ]
[ x4, x1*x3, x1*x2, x3^2 ]
[ x2*x3, x2, x3^2, x1^2 ]
[ x2*x3, x1, x3^2, x1^2 ]
[ x2*x3, x1*x2, x3^2, x1^2 ]
[ x2, x1, x3^2, x1^2 ]
[ x1*x2*x3, x2, x3^2, x1^2 ]
[ x3, x1, x3^2, x1^2 ]
[ x1*x2*x3, x1*x2, x3^2, x1^2 ]
[ x2*x3, x2, x2^2*x3^2, x2^2 ]
[ x2*x3, x1, x2^2*x3^2, x2^2 ]
[ x2*x3, x1*x2, x2^2*x3^2, x2^2 ]
[ x2, x1, x2^2*x3^2, x2^2 ]
[ x1*x2*x3, x2, x2^2*x3^2, x2^2 ]
[ x2^2*x3, x1, x2^2*x3^2, x2^2 ]
[ x1*x2*x3, x1*x2, x2^2*x3^2, x2^2 ]
[ x1*x3, x2, x1^2*x3^2, x1^2 ]
[ x1*x3, x1, x1^2*x3^2, x1^2 ]
[ x1*x3, x1*x2, x1^2*x3^2, x1^2 ]
[ x2, x1, x1^2*x3^2, x1^2 ]
[ x1^2*x3, x2, x1^2*x3^2, x1^2 ]
[ x1*x2*x3, x1, x1^2*x3^2, x1^2 ]
[ x1^2*x3, x1*x2, x1^2*x3^2, x1^2 ]
[ x3, x2, x3^2, x1^2 ]
[ x3, x1, x3^2, x1^2 ]
[ x3, x1*x2, x3^2, x1^2 ]
[ x2, x1, x3^2, x1^2 ]
[ x1*x3, x2, x3^2, x1^2 ]
[ x2*x3, x1, x3^2, x1^2 ]
[ x1*x3, x1*x2, x3^2, x1^2 ]
[ x4, x3, x1, x2^2 ]
[ x4, x3, x2, x2^2 ]
[ x4, x3, x1*x2, x2^2 ]
[ x4, x1, x2, x2^2 ]
[ x4, x2^3*x3, x1, x2^2 ]
[ x4, x1*x3, x2, x2^2 ]
[ x4, x2^3*x3, x1*x2, x2^2 ]
[ x3, x1, x2, x2^2 ]
[ x2*x4, x3, x1, x2^2 ]
[ x1*x4, x3, x2, x2^2 ]
[ x2*x4, x3, x1*x2, x2^2 ]
[ x3*x4, x1, x2, x2^2 ]
[ x2*x4, x2^3*x3, x1, x2^2 ]
[ x1*x4, x1*x3, x2, x2^2 ]
[ x2*x4, x2^3*x3, x1*x2, x2^2 ]
[ x4, x3, x1, x2*x3*x2*x3 ]
[ x4, x3, x1*x2, x2*x3*x2*x3 ]
[ x4, x3, x2, x2*x3*x2*x3 ]
[ x4, x1, x1*x2, x2*x3*x2*x3 ]
[ x4, x1*x3*x2, x1, x2*x3*x2*x3 ]
[ x4, x1*x3, x1*x2, x2*x3*x2*x3 ]
[ x4, x1*x3*x2, x2, x2*x3*x2*x3 ]
[ x3, x1, x1*x2, x2*x3*x2*x3 ]
[ x1*x2*x4, x3, x1, x2*x3*x2*x3 ]
[ x1*x4, x3, x1*x2, x2*x3*x2*x3 ]
[ x1*x2*x4, x3, x2, x2*x3*x2*x3 ]
[ x3*x4, x1, x1*x2, x2*x3*x2*x3 ]
[ x1*x2*x4, x1*x3*x2, x1, x2*x3*x2*x3 ]
[ x1*x4, x1*x3, x1*x2, x2*x3*x2*x3 ]
[ x1*x2*x4, x1*x3*x2, x2, x2*x3*x2*x3 ]
[ x3, x2, x2^2, x1^2*x2^2 ]
[ x3, x1, x2^2, x1^2*x2^2 ]
[ x3, x2*x1, x2^2, x1^2*x2^2 ]
[ x2, x1, x2^2, x1^2*x2^2 ]
[ x1*x3, x2, x2^2, x1^2*x2^2 ]
[ x2*x3, x1, x2^2, x1^2*x2^2 ]
[ x1*x3, x2*x1, x2^2, x1^2*x2^2 ]
[ x3, x2, x1*x2*x1*x2, x1^3*x2*x1*x2 ]
[ x3, x1, x1*x2*x1*x2, x1^3*x2*x1*x2 ]
[ x3, x2*x1, x1*x2*x1*x2, x1^3*x2*x1*x2 ]
[ x2, x1, x1*x2*x1*x2, x1^3*x2*x1*x2 ]
[ x1*x3, x2, x1*x2*x1*x2, x1^3*x2*x1*x2 ]
[ x2*x3, x1, x1*x2*x1*x2, x1^3*x2*x1*x2 ]
[ x1*x3, x2*x1, x1*x2*x1*x2, x1^3*x2*x1*x2 ]
[ x2*x4, x2*x3, x1, x1^2 ]
[ x2*x4, x2*x3, x2, x1^2 ]
[ x2*x4, x2*x3, x1*x2, x1^2 ]
[ x2*x4, x1, x2, x1^2 ]
[ x2*x4, x3, x1, x1^2 ]
[ x2*x4, x1^3*x2*x3, x2, x1^2 ]
[ x2*x4, x3, x1*x2, x1^2 ]
[ x2*x3, x1, x2, x1^2 ]
[ x4, x2*x3, x1, x1^2 ]
[ x1*x2*x4, x2*x3, x2, x1^2 ]
[ x4, x2*x3, x1*x2, x1^2 ]
[ x3*x4, x1, x2, x1^2 ]
[ x4, x3, x1, x1^2 ]
[ x1*x2*x4, x1^3*x2*x3, x2, x1^2 ]
[ x4, x3, x1*x2, x1^2 ]
[ x3, x1, x3^2, x2*x3*x2*x3^3 ]
[ x3, x2, x3^2, x2*x3*x2*x3^3 ]
[ x3, x1*x2, x3^2, x2*x3*x2*x3^3 ]
[ x1, x2, x3^2, x2*x3*x2*x3^3 ]
[ x3*x2, x1, x3^2, x2*x3*x2*x3^3 ]
[ x1*x3, x2, x3^2, x2*x3*x2*x3^3 ]
[ x3*x2, x1*x2, x3^2, x2*x3*x2*x3^3 ]
[ x3, x1, x2^2, x2^3*x3*x2*x3 ]
[ x3, x1*x3*x2*x3, x2^2, x2^3*x3*x2*x3 ]
[ x3, x3*x2*x3, x2^2, x2^3*x3*x2*x3 ]
[ x1, x1*x3*x2*x3, x2^2, x2^3*x3*x2*x3 ]
[ x1*x2*x3, x1, x2^2, x2^3*x3*x2*x3 ]
[ x1*x3, x1*x3*x2*x3, x2^2, x2^3*x3*x2*x3 ]
[ x1*x2*x3, x3*x2*x3, x2^2, x2^3*x3*x2*x3 ]
[ x3, x1, x3^2, x2*x3*x2*x3^3 ]
[ x3, x1*x2, x3^2, x2*x3*x2*x3^3 ]
[ x3, x2, x3^2, x2*x3*x2*x3^3 ]
[ x1, x1*x2, x3^2, x2*x3*x2*x3^3 ]
[ x1*x3*x2, x1, x3^2, x2*x3*x2*x3^3 ]
[ x1*x3, x1*x2, x3^2, x2*x3*x2*x3^3 ]
[ x1*x3*x2, x2, x3^2, x2*x3*x2*x3^3 ]
[ x4, x1, x2, x2^2 ]
[ x4, x1, x3, x2^2 ]
[ x4, x1, x2*x3, x2^2 ]
[ x4, x2, x3, x2^2 ]
[ x4, x1*x3, x2, x2^2 ]
[ x4, x1*x2, x3, x2^2 ]
[ x4, x1*x3, x2*x3, x2^2 ]
[ x1, x2, x3, x2^2 ]
[ x3*x4, x1, x2, x2^2 ]
[ x2^3*x4, x1, x3, x2^2 ]
[ x3*x4, x1, x2*x3, x2^2 ]
[ x1*x4, x2, x3, x2^2 ]
[ x3*x4, x1*x3, x2, x2^2 ]
[ x2^3*x4, x1*x2, x3, x2^2 ]
[ x3*x4, x1*x3, x2*x3, x2^2 ]
[ x4, x1, x2, x1^2 ]
[ x4, x1, x3, x1^2 ]
[ x4, x1, x2*x3, x1^2 ]
[ x4, x2, x3, x1^2 ]
[ x4, x1*x3, x2, x1^2 ]
[ x4, x1*x2, x3, x1^2 ]
[ x4, x1*x3, x2*x3, x1^2 ]
[ x1, x2, x3, x1^2 ]
[ x3*x4, x1, x2, x1^2 ]
[ x2*x4, x1, x3, x1^2 ]
[ x3*x4, x1, x2*x3, x1^2 ]
[ x1^3*x4, x2, x3, x1^2 ]
[ x3*x4, x1*x3, x2, x1^2 ]
[ x2*x4, x1*x2, x3, x1^2 ]
[ x3*x4, x1*x3, x2*x3, x1^2 ]
[ x2^2*x3*x4, x1, x2, x2^2 ]
[ x2^2*x3*x4, x1, x3, x2^2 ]
[ x2^2*x3*x4, x1, x2*x3, x2^2 ]
[ x2^2*x3*x4, x2, x3, x2^2 ]
[ x2^2*x3*x4, x1*x3, x2, x2^2 ]
[ x2^2*x3*x4, x1*x2, x3, x2^2 ]
[ x2^2*x3*x4, x1*x3, x2*x3, x2^2 ]
[ x1, x2, x3, x2^2 ]
[ x2^2*x4, x1, x2, x2^2 ]
[ x2*x3*x4, x1, x3, x2^2 ]
[ x2^2*x4, x1, x2*x3, x2^2 ]
[ x1*x2^2*x3*x4, x2, x3, x2^2 ]
[ x2^2*x4, x1*x3, x2, x2^2 ]
[ x2*x3*x4, x1*x2, x3, x2^2 ]
[ x2^2*x4, x1*x3, x2*x3, x2^2 ]
[ x4, x1, x1*x2, x2^2 ]
[ x4, x1, x1*x3, x2^2 ]
[ x4, x1, x2*x3, x2^2 ]
[ x4, x1*x2, x1*x3, x2^2 ]
[ x4, x3, x1*x2, x2^2 ]
[ x4, x2, x1*x3, x2^2 ]
[ x4, x3, x2*x3, x2^2 ]
[ x1, x1*x2, x1*x3, x2^2 ]
[ x1*x3*x4, x1, x1*x2, x2^2 ]
[ x1*x2^3*x4, x1, x1*x3, x2^2 ]
[ x1*x3*x4, x1, x2*x3, x2^2 ]
[ x1*x4, x1*x2, x1*x3, x2^2 ]
[ x1*x3*x4, x3, x1*x2, x2^2 ]
[ x1*x2^3*x4, x2, x1*x3, x2^2 ]
[ x1*x3*x4, x3, x2*x3, x2^2 ]
[ x3, x1, x2^2, x1^2 ]
[ x3, x2, x2^2, x1^2 ]
[ x3, x1*x2, x2^2, x1^2 ]
[ x1, x2, x2^2, x1^2 ]
[ x2*x3, x1, x2^2, x1^2 ]
[ x1^3*x3, x2, x2^2, x1^2 ]
[ x2*x3, x1*x2, x2^2, x1^2 ]
[ x3, x1, x1^2, x3^2 ]
[ x3, x2, x1^2, x3^2 ]
[ x3, x1*x2, x1^2, x3^2 ]
[ x1, x2, x1^2, x3^2 ]
[ x3*x2, x1, x1^2, x3^2 ]
[ x1*x3, x2, x1^2, x3^2 ]
[ x3*x2, x1*x2, x1^2, x3^2 ]
[ x3, x1*x2^2, x1^2, x2^2 ]
[ x3, x2, x1^2, x2^2 ]
[ x3, x1*x2^3, x1^2, x2^2 ]
[ x1*x2^2, x2, x1^2, x2^2 ]
[ x2^3*x3, x1*x2^2, x1^2, x2^2 ]
[ x1*x2^2*x3, x2, x1^2, x2^2 ]
[ x2^3*x3, x1*x2^3, x1^2, x2^2 ]
[ x3, x1*x3^2, x1^2, x3^2 ]
[ x3, x1*x2*x3^2, x1^2, x3^2 ]
[ x3, x1^2*x2, x1^2, x3^2 ]
[ x1*x3^2, x1*x2*x3^2, x1^2, x3^2 ]
[ x1*x2*x3, x1*x3^2, x1^2, x3^2 ]
[ x1*x2*x3*x2, x1*x2*x3^2, x1^2, x3^2 ]
[ x1*x2*x3, x1^2*x2, x1^2, x3^2 ]
[ x3, x1, x3^2, x2*x3*x2*x3^3 ]
[ x3, x2, x3^2, x2*x3*x2*x3^3 ]
[ x3, x1*x2, x3^2, x2*x3*x2*x3^3 ]
[ x1, x2, x3^2, x2*x3*x2*x3^3 ]
[ x3*x2, x1, x3^2, x2*x3*x2*x3^3 ]
[ x1*x3, x2, x3^2, x2*x3*x2*x3^3 ]
[ x3*x2, x1*x2, x3^2, x2*x3*x2*x3^3 ]
[ x3, x1, x3^2, x2*x3*x2*x3^3 ]
[ x3, x1*x2, x3^2, x2*x3*x2*x3^3 ]
[ x3, x2, x3^2, x2*x3*x2*x3^3 ]
[ x1, x1*x2, x3^2, x2*x3*x2*x3^3 ]
[ x1*x3*x2, x1, x3^2, x2*x3*x2*x3^3 ]
[ x1*x3, x1*x2, x3^2, x2*x3*x2*x3^3 ]
[ x1*x3*x2, x2, x3^2, x2*x3*x2*x3^3 ]
[ x1*x3, x1, x2^2, x2^3*x3*x2*x3 ]
[ x1*x3, x1*x2, x2^2, x2^3*x3*x2*x3 ]
[ x1*x3, x2, x2^2, x2^3*x3*x2*x3 ]
[ x1, x1*x2, x2^2, x2^3*x3*x2*x3 ]
[ x3*x2, x1, x2^2, x2^3*x3*x2*x3 ]
[ x3, x1*x2, x2^2, x2^3*x3*x2*x3 ]
[ x3*x2, x2, x2^2, x2^3*x3*x2*x3 ]
[ x3, x1, x2^2, x2^3*x3*x2*x3 ]
[ x3, x1*x2, x2^2, x2^3*x3*x2*x3 ]
[ x3, x2, x2^2, x2^3*x3*x2*x3 ]
[ x1, x1*x2, x2^2, x2^3*x3*x2*x3 ]
[ x1*x3*x2, x1, x2^2, x2^3*x3*x2*x3 ]
[ x1*x3, x1*x2, x2^2, x2^3*x3*x2*x3 ]
[ x1*x3*x2, x2, x2^2, x2^3*x3*x2*x3 ]
[ x3, x2, x3^2, x1*x2*x1*x2 ]
[ x3, x2*x1*x2, x3^2, x1*x2*x1*x2 ]
[ x3, x1*x2, x3^2, x1*x2*x1*x2 ]
[ x2, x2*x1*x2, x3^2, x1*x2*x1*x2 ]
[ x2*x1*x2*x3, x2, x3^2, x1*x2*x1*x2 ]
[ x2*x3, x2*x1*x2, x3^2, x1*x2*x1*x2 ]
[ x2*x1*x2*x3, x1*x2, x3^2, x1*x2*x1*x2 ]
[ x3, x1, x1^2, x2*x3*x2*x3 ]
[ x3, x2, x1^2, x2*x3*x2*x3 ]
[ x3, x1*x2, x1^2, x2*x3*x2*x3 ]
[ x1, x2, x1^2, x2*x3*x2*x3 ]
[ x3*x2, x1, x1^2, x2*x3*x2*x3 ]
[ x1*x3, x2, x1^2, x2*x3*x2*x3 ]
[ x3*x2, x1*x2, x1^2, x2*x3*x2*x3 ]
[ x3, x1^3*x2, x1^2, x1^3*x3*x1*x3 ]
[ x3, x1^2*x2, x1^2, x1^3*x3*x1*x3 ]
[ x3, x1, x1^2, x1^3*x3*x1*x3 ]
[ x1^3*x2, x1^2*x2, x1^2, x1^3*x3*x1*x3 ]
[ x1*x2*x3*x1, x1^3*x2, x1^2, x1^3*x3*x1*x3 ]
[ x1^3*x2*x3, x1^2*x2, x1^2, x1^3*x3*x1*x3 ]
[ x1*x2*x3*x1, x1, x1^2, x1^3*x3*x1*x3 ]
[ x1^3*x2*x3, x1, x3^2, x1^2 ]
[ x1^3*x2*x3, x2, x3^2, x1^2 ]
[ x1^3*x2*x3, x1*x2, x3^2, x1^2 ]
[ x1, x2, x3^2, x1^2 ]
[ x1^3*x3, x1, x3^2, x1^2 ]
[ x1^2*x2*x3, x2, x3^2, x1^2 ]
[ x1^3*x3, x1*x2, x3^2, x1^2 ]
[ x1^3*x3, x1, x3^2, x1^2 ]
[ x1^3*x3, x2, x3^2, x1^2 ]
[ x1^3*x3, x1*x2, x3^2, x1^2 ]
[ x1, x2, x3^2, x1^2 ]
[ x1^3*x2*x3, x1, x3^2, x1^2 ]
[ x1^2*x3, x2, x3^2, x1^2 ]
[ x1^3*x2*x3, x1*x2, x3^2, x1^2 ]
[ x1^3*x2*x3, x1, x3^2, x1^2 ]
[ x1^3*x2*x3, x2, x3^2, x1^2 ]
[ x1^3*x2*x3, x1*x2, x3^2, x1^2 ]
[ x1, x2, x3^2, x1^2 ]
[ x1^3*x3, x1, x3^2, x1^2 ]
[ x1^2*x2*x3, x2, x3^2, x1^2 ]
[ x1^3*x3, x1*x2, x3^2, x1^2 ]
[ x2*x1*x3, x2, x3^2, x2^2 ]
[ x2*x1*x3, x1, x3^2, x2^2 ]
[ x2*x1*x3, x2*x1, x3^2, x2^2 ]
[ x2, x1, x3^2, x2^2 ]
[ x1*x2*x1*x3, x2, x3^2, x2^2 ]
[ x1*x2^2*x3, x1, x3^2, x2^2 ]
[ x1*x2*x1*x3, x2*x1, x3^2, x2^2 ]
[ x2*x1*x3, x2, x3^2, x2^2 ]
[ x2*x1*x3, x1, x3^2, x2^2 ]
[ x2*x1*x3, x2*x1, x3^2, x2^2 ]
[ x2, x1, x3^2, x2^2 ]
[ x1*x2*x1*x3, x2, x3^2, x2^2 ]
[ x1*x2^2*x3, x1, x3^2, x2^2 ]
[ x1*x2*x1*x3, x2*x1, x3^2, x2^2 ]
[ x2*x1*x3, x2, x3^2, x2^2 ]
[ x2*x1*x3, x1, x3^2, x2^2 ]
[ x2*x1*x3, x2*x1, x3^2, x2^2 ]
[ x2, x1, x3^2, x2^2 ]
[ x1*x2*x1*x3, x2, x3^2, x2^2 ]
[ x1*x2^2*x3, x1, x3^2, x2^2 ]
[ x1*x2*x1*x3, x2*x1, x3^2, x2^2 ]
[ x3, x1, x2^2, x1*x3*x1*x3 ]
[ x3, x2, x2^2, x1*x3*x1*x3 ]
[ x3, x1*x2, x2^2, x1*x3*x1*x3 ]
[ x1, x2, x2^2, x1*x3*x1*x3 ]
[ x2*x3, x1, x2^2, x1*x3*x1*x3 ]
[ x3*x1, x2, x2^2, x1*x3*x1*x3 ]
[ x2*x3, x1*x2, x2^2, x1*x3*x1*x3 ]
[ x3, x1, x2^2, x1*x3*x1*x3 ]
[ x3, x2, x2^2, x1*x3*x1*x3 ]
[ x3, x1*x2, x2^2, x1*x3*x1*x3 ]
[ x1, x2, x2^2, x1*x3*x1*x3 ]
[ x2*x3, x1, x2^2, x1*x3*x1*x3 ]
[ x3*x1, x2, x2^2, x1*x3*x1*x3 ]
[ x2*x3, x1*x2, x2^2, x1*x3*x1*x3 ]
[ x3, x1, x2^2, x2^2*x3^2 ]
[ x3, x1*x2, x2^2, x2^2*x3^2 ]
[ x3, x2, x2^2, x2^2*x3^2 ]
[ x1, x1*x2, x2^2, x2^2*x3^2 ]
[ x1*x2*x3, x1, x2^2, x2^2*x3^2 ]
[ x3*x1, x1*x2, x2^2, x2^2*x3^2 ]
[ x1*x2*x3, x2, x2^2, x2^2*x3^2 ]
[ x3, x1*x2, x3^2, x1^2*x3^2 ]
[ x3, x2, x3^2, x1^2*x3^2 ]
[ x3, x1, x3^2, x1^2*x3^2 ]
[ x1*x2, x2, x3^2, x1^2*x3^2 ]
[ x1^3*x2*x3*x1, x1*x2, x3^2, x1^2*x3^2 ]
[ x1*x2*x3, x2, x3^2, x1^2*x3^2 ]
[ x1^3*x2*x3*x1, x1, x3^2, x1^2*x3^2 ]
[ x3, x1, x2^2, x1*x3*x1*x3 ]
[ x3, x2, x2^2, x1*x3*x1*x3 ]
[ x3, x1*x2, x2^2, x1*x3*x1*x3 ]
[ x1, x2, x2^2, x1*x3*x1*x3 ]
[ x2*x3, x1, x2^2, x1*x3*x1*x3 ]
[ x3*x1, x2, x2^2, x1*x3*x1*x3 ]
[ x2*x3, x1*x2, x2^2, x1*x3*x1*x3 ]
[ x3, x1, x2^2, x1*x3*x1*x3 ]
[ x3, x2, x2^2, x1*x3*x1*x3 ]
[ x3, x1*x2, x2^2, x1*x3*x1*x3 ]
[ x1, x2, x2^2, x1*x3*x1*x3 ]
[ x2*x3, x1, x2^2, x1*x3*x1*x3 ]
[ x3*x1, x2, x2^2, x1*x3*x1*x3 ]
[ x2*x3, x1*x2, x2^2, x1*x3*x1*x3 ]
[ x3, x1, x2^2, x2^2*x3^2 ]
[ x3, x1*x2, x2^2, x2^2*x3^2 ]
[ x3, x2, x2^2, x2^2*x3^2 ]
[ x1, x1*x2, x2^2, x2^2*x3^2 ]
[ x1*x2*x3, x1, x2^2, x2^2*x3^2 ]
[ x3*x1, x1*x2, x2^2, x2^2*x3^2 ]
[ x1*x2*x3, x2, x2^2, x2^2*x3^2 ]
[ x1*x2*x3, x2, x1*x2*x1*x2*x3^2, x1*x2*x1*x2 ]
[ x1*x2*x3, x1, x1*x2*x1*x2*x3^2, x1*x2*x1*x2 ]
[ x1*x2*x3, x2*x1, x1*x2*x1*x2*x3^2, x1*x2*x1*x2 ]
[ x2, x1, x1*x2*x1*x2*x3^2, x1*x2*x1*x2 ]
[ x2*x3, x2, x1*x2*x1*x2*x3^2, x1*x2*x1*x2 ]
[ x2*x1*x2*x3, x1, x1*x2*x1*x2*x3^2, x1*x2*x1*x2 ]
[ x2*x3, x2*x1, x1*x2*x1*x2*x3^2, x1*x2*x1*x2 ]
[ x3, x2*x1*x2, x3^2, x1*x2*x1*x2 ]
[ x3, x2, x3^2, x1*x2*x1*x2 ]
[ x3, x2*x1, x3^2, x1*x2*x1*x2 ]
[ x2*x1*x2, x2, x3^2, x1*x2*x1*x2 ]
[ x3*x2, x2*x1*x2, x3^2, x1*x2*x1*x2 ]
[ x2*x1*x2*x3, x2, x3^2, x1*x2*x1*x2 ]
[ x3*x2, x2*x1, x3^2, x1*x2*x1*x2 ]
[ x3, x2*x1*x2, x3^2, x1*x2*x1*x2 ]
[ x3, x2, x3^2, x1*x2*x1*x2 ]
[ x3, x2*x1, x3^2, x1*x2*x1*x2 ]
[ x2*x1*x2, x2, x3^2, x1*x2*x1*x2 ]
[ x3*x2, x2*x1*x2, x3^2, x1*x2*x1*x2 ]
[ x2*x1*x2*x3, x2, x3^2, x1*x2*x1*x2 ]
[ x3*x2, x2*x1, x3^2, x1*x2*x1*x2 ]
[ x2^2*x3, x2*x1*x2^3, x2^2, x1*x2*x1*x2^3 ]
[ x2^2*x3, x2, x2^2, x1*x2*x1*x2^3 ]
[ x2^2*x3, x2*x1, x2^2, x1*x2*x1*x2^3 ]
[ x2*x1*x2^3, x2, x2^2, x1*x2*x1*x2^3 ]
[ x2*x3, x2*x1*x2^3, x2^2, x1*x2*x1*x2^3 ]
[ x2*x1*x2*x3, x2, x2^2, x1*x2*x1*x2^3 ]
[ x2*x3, x2*x1, x2^2, x1*x2*x1*x2^3 ]
[ x3, x2*x1*x2, x3^2, x1*x2*x1*x2 ]
[ x3, x2, x3^2, x1*x2*x1*x2 ]
[ x3, x2*x1, x3^2, x1*x2*x1*x2 ]
[ x2*x1*x2, x2, x3^2, x1*x2*x1*x2 ]
[ x3*x2, x2*x1*x2, x3^2, x1*x2*x1*x2 ]
[ x1*x3, x2, x3^2, x1*x2*x1*x2 ]
[ x3*x2, x2*x1, x3^2, x1*x2*x1*x2 ]
[ x3, x2*x1*x2, x3^2, x1*x2*x1*x2 ]
[ x3, x2, x3^2, x1*x2*x1*x2 ]
[ x3, x2*x1, x3^2, x1*x2*x1*x2 ]
[ x2*x1*x2, x2, x3^2, x1*x2*x1*x2 ]
[ x3*x2, x2*x1*x2, x3^2, x1*x2*x1*x2 ]
[ x1*x3, x2, x3^2, x1*x2*x1*x2 ]
[ x3*x2, x2*x1, x3^2, x1*x2*x1*x2 ]
[ x3, x2*x1*x2^3, x2^2, x1*x2*x1*x2^3 ]
[ x3, x2, x2^2, x1*x2*x1*x2^3 ]
[ x3, x2*x1, x2^2, x1*x2*x1*x2^3 ]
[ x2*x1*x2^3, x2, x2^2, x1*x2*x1*x2^3 ]
[ x2^3*x3, x2*x1*x2^3, x2^2, x1*x2*x1*x2^3 ]
[ x2*x1*x2^3*x3, x2, x2^2, x1*x2*x1*x2^3 ]
[ x2^3*x3, x2*x1, x2^2, x1*x2*x1*x2^3 ]
[ x3, x1, x3^2, x2^2 ]
[ x3, x2, x3^2, x2^2 ]
[ x3, x1*x2, x3^2, x2^2 ]
[ x1, x2, x3^2, x2^2 ]
[ x2*x3, x1, x3^2, x2^2 ]
[ x3*x1, x2, x3^2, x2^2 ]
[ x2*x3, x1*x2, x3^2, x2^2 ]
[ x3, x1, x3^2, x2^2 ]
[ x3, x2, x3^2, x2^2 ]
[ x3, x1*x2, x3^2, x2^2 ]
[ x1, x2, x3^2, x2^2 ]
[ x2*x3, x1, x3^2, x2^2 ]
[ x3*x1, x2, x3^2, x2^2 ]
[ x2*x3, x1*x2, x3^2, x2^2 ]
[ x3, x1, x3^2, x1^2 ]
[ x3, x2, x3^2, x1^2 ]
[ x3, x1*x2, x3^2, x1^2 ]
[ x1, x2, x3^2, x1^2 ]
[ x1*x2*x3*x1, x1, x3^2, x1^2 ]
[ x3*x1, x2, x3^2, x1^2 ]
[ x1*x2*x3*x1, x1*x2, x3^2, x1^2 ]
[ x1^2*x3, x1, x1^2, x2^2 ]
[ x1^2*x3, x2, x1^2, x2^2 ]
[ x1^2*x3, x1*x2, x1^2, x2^2 ]
[ x1, x2, x1^2, x2^2 ]
[ x1*x2*x1*x3, x1, x1^2, x2^2 ]
[ x1*x3, x2, x1^2, x2^2 ]
[ x1*x2*x1*x3, x1*x2, x1^2, x2^2 ]
[ x3, x1, x3^2, x1^2 ]
[ x3, x2, x3^2, x1^2 ]
[ x3, x1*x2, x3^2, x1^2 ]
[ x1, x2, x3^2, x1^2 ]
[ x2*x3, x1, x3^2, x1^2 ]
[ x3*x1, x2, x3^2, x1^2 ]
[ x2*x3, x1*x2, x3^2, x1^2 ]
[ x1^2*x3, x1, x1^2, x2^2 ]
[ x1^2*x3, x2, x1^2, x2^2 ]
[ x1^2*x3, x1*x2, x1^2, x2^2 ]
[ x1, x2, x1^2, x2^2 ]
[ x1^2*x2*x3, x1, x1^2, x2^2 ]
[ x1*x3, x2, x1^2, x2^2 ]
[ x1^2*x2*x3, x1*x2, x1^2, x2^2 ]
[ x3, x1, x3^2, x1*x2*x1*x2 ]
[ x3, x2, x3^2, x1*x2*x1*x2 ]
[ x3, x1*x2, x3^2, x1*x2*x1*x2 ]
[ x1, x2, x3^2, x1*x2*x1*x2 ]
[ x2*x3, x1, x3^2, x1*x2*x1*x2 ]
[ x3*x1, x2, x3^2, x1*x2*x1*x2 ]
[ x2*x3, x1*x2, x3^2, x1*x2*x1*x2 ]
[ x2^2*x3, x1, x1*x3*x1*x3, x2^2 ]
[ x2^2*x3, x2, x1*x3*x1*x3, x2^2 ]
[ x2^2*x3, x1*x2, x1*x3*x1*x3, x2^2 ]
[ x1, x2, x1*x3*x1*x3, x2^2 ]
[ x1*x2*x1*x3, x1, x1*x3*x1*x3, x2^2 ]
[ x2^2*x3*x1, x2, x1*x3*x1*x3, x2^2 ]
[ x1*x2*x1*x3, x1*x2, x1*x3*x1*x3, x2^2 ]
[ x1^2*x3, x1, x1^3*x3*x1*x3, x1^2 ]
[ x1^2*x3, x1^2*x2, x1^3*x3*x1*x3, x1^2 ]
[ x1^2*x3, x1^3*x2, x1^3*x3*x1*x3, x1^2 ]
[ x1, x1^2*x2, x1^3*x3*x1*x3, x1^2 ]
[ x2*x3, x1, x1^3*x3*x1*x3, x1^2 ]
[ x1^2*x3*x1, x1^2*x2, x1^3*x3*x1*x3, x1^2 ]
[ x2*x3, x1^3*x2, x1^3*x3*x1*x3, x1^2 ]
[ x1^2*x3, x1, x1^3*x3*x1*x3, x1^2 ]
[ x1^2*x3, x1^2*x2, x1^3*x3*x1*x3, x1^2 ]
[ x1^2*x3, x1^3*x2, x1^3*x3*x1*x3, x1^2 ]
[ x1, x1^2*x2, x1^3*x3*x1*x3, x1^2 ]
[ x1*x2*x3*x1, x1, x1^3*x3*x1*x3, x1^2 ]
[ x1^2*x3*x1, x1^2*x2, x1^3*x3*x1*x3, x1^2 ]
[ x1*x2*x3*x1, x1^3*x2, x1^3*x3*x1*x3, x1^2 ]
[ x1^2*x3, x1, x1^3*x3*x1*x3, x1^2 ]
[ x1^2*x3, x2, x1^3*x3*x1*x3, x1^2 ]
[ x1^2*x3, x1*x2, x1^3*x3*x1*x3, x1^2 ]
[ x1, x2, x1^3*x3*x1*x3, x1^2 ]
[ x1^3*x2*x3*x1, x1, x1^3*x3*x1*x3, x1^2 ]
[ x1^2*x3*x1, x2, x1^3*x3*x1*x3, x1^2 ]
[ x1^3*x2*x3*x1, x1*x2, x1^3*x3*x1*x3, x1^2 ]
[ x3, x1, x3^2, x1^2 ]
[ x3, x2, x3^2, x1^2 ]
[ x3, x1*x2, x3^2, x1^2 ]
[ x1, x2, x3^2, x1^2 ]
[ x3*x2, x1, x3^2, x1^2 ]
[ x1*x3, x2, x3^2, x1^2 ]
[ x3*x2, x1*x2, x3^2, x1^2 ]
[ x3, x1, x3^2, x2^2 ]
[ x3, x2, x3^2, x2^2 ]
[ x3, x1*x2, x3^2, x2^2 ]
[ x1, x2, x3^2, x2^2 ]
[ x1*x2*x1*x3, x1, x3^2, x2^2 ]
[ x3*x1, x2, x3^2, x2^2 ]
[ x1*x2*x1*x3, x1*x2, x3^2, x2^2 ]
[ x3, x2, x1^2, x3^2 ]
[ x3, x1*x2*x3^2, x1^2, x3^2 ]
[ x3, x1*x3^2, x1^2, x3^2 ]
[ x2, x1*x2*x3^2, x1^2, x3^2 ]
[ x1^3*x2*x3, x2, x1^2, x3^2 ]
[ x3*x2, x1*x2*x3^2, x1^2, x3^2 ]
[ x1^3*x2*x3, x1*x3^2, x1^2, x3^2 ]
[ x2^2*x3, x1, x2^2, x1^2 ]
[ x2^2*x3, x2, x2^2, x1^2 ]
[ x2^2*x3, x1*x2, x2^2, x1^2 ]
[ x1, x2, x2^2, x1^2 ]
[ x2*x3, x1, x2^2, x1^2 ]
[ x1*x2^2*x3, x2, x2^2, x1^2 ]
[ x2*x3, x1*x2, x2^2, x1^2 ]
[ x3, x1, x3^2, x2*x3*x2*x3 ]
[ x3, x1*x2, x3^2, x2*x3*x2*x3 ]
[ x3, x2, x3^2, x2*x3*x2*x3 ]
[ x1, x1*x2, x3^2, x2*x3*x2*x3 ]
[ x3*x1*x2, x1, x3^2, x2*x3*x2*x3 ]
[ x3*x1, x1*x2, x3^2, x2*x3*x2*x3 ]
[ x3*x1*x2, x2, x3^2, x2*x3*x2*x3 ]
[ x3, x1, x3^2, x2*x3*x2*x3 ]
[ x3, x1*x2, x3^2, x2*x3*x2*x3 ]
[ x3, x2, x3^2, x2*x3*x2*x3 ]
[ x1, x1*x2, x3^2, x2*x3*x2*x3 ]
[ x3*x1*x2, x1, x3^2, x2*x3*x2*x3 ]
[ x3*x1, x1*x2, x3^2, x2*x3*x2*x3 ]
[ x3*x1*x2, x2, x3^2, x2*x3*x2*x3 ]
[ x2*x3, x1, x1^2, x1^3*x2*x1*x2 ]
[ x2*x3, x2, x1^2, x1^3*x2*x1*x2 ]
[ x2*x3, x1*x2, x1^2, x1^3*x2*x1*x2 ]
[ x1, x2, x1^2, x1^3*x2*x1*x2 ]
[ x3, x1, x1^2, x1^3*x2*x1*x2 ]
[ x1^3*x2*x3, x2, x1^2, x1^3*x2*x1*x2 ]
[ x3, x1*x2, x1^2, x1^3*x2*x1*x2 ]
[ x2*x3, x1, x1^2, x1^3*x2*x1*x2 ]
[ x2*x3, x2, x1^2, x1^3*x2*x1*x2 ]
[ x2*x3, x1*x2, x1^2, x1^3*x2*x1*x2 ]
[ x1, x2, x1^2, x1^3*x2*x1*x2 ]
[ x3, x1, x1^2, x1^3*x2*x1*x2 ]
[ x1^3*x2*x3, x2, x1^2, x1^3*x2*x1*x2 ]
[ x3, x1*x2, x1^2, x1^3*x2*x1*x2 ]
[ x3, x1, x3^2, x2*x3*x2*x3 ]
[ x3, x1*x2, x3^2, x2*x3*x2*x3 ]
[ x3, x2, x3^2, x2*x3*x2*x3 ]
[ x1, x1*x2, x3^2, x2*x3*x2*x3 ]
[ x3*x1*x2, x1, x3^2, x2*x3*x2*x3 ]
[ x3*x1, x1*x2, x3^2, x2*x3*x2*x3 ]
[ x3*x1*x2, x2, x3^2, x2*x3*x2*x3 ]
[ x2*x3, x1, x1^2, x1^3*x2*x1*x2 ]
[ x2*x3, x2, x1^2, x1^3*x2*x1*x2 ]
[ x2*x3, x1*x2, x1^2, x1^3*x2*x1*x2 ]
[ x1, x2, x1^2, x1^3*x2*x1*x2 ]
[ x3, x1, x1^2, x1^3*x2*x1*x2 ]
[ x1^3*x2*x3, x2, x1^2, x1^3*x2*x1*x2 ]
[ x3, x1*x2, x1^2, x1^3*x2*x1*x2 ]
[ x1*x2*x1*x3, x1, x1^2, x1^3*x2*x1*x2 ]
[ x1*x2*x1*x3, x2, x1^2, x1^3*x2*x1*x2 ]
[ x1*x2*x1*x3, x1*x2, x1^2, x1^3*x2*x1*x2 ]
[ x1, x2, x1^2, x1^3*x2*x1*x2 ]
[ x1*x2*x1*x2*x3, x1, x1^2, x1^3*x2*x1*x2 ]
[ x2*x1*x3, x2, x1^2, x1^3*x2*x1*x2 ]
[ x1*x2*x1*x2*x3, x1*x2, x1^2, x1^3*x2*x1*x2 ]
[ x2*x3, x1, x1^2, x1^3*x2*x1*x2 ]
[ x2*x3, x2, x1^2, x1^3*x2*x1*x2 ]
[ x2*x3, x1*x2, x1^2, x1^3*x2*x1*x2 ]
[ x1, x2, x1^2, x1^3*x2*x1*x2 ]
[ x3, x1, x1^2, x1^3*x2*x1*x2 ]
[ x1^3*x2*x3, x2, x1^2, x1^3*x2*x1*x2 ]
[ x3, x1*x2, x1^2, x1^3*x2*x1*x2 ]
[ x1*x3, x1, x2^2, x1*x2*x1*x2^3 ]
[ x1*x3, x2, x2^2, x1*x2*x1*x2^3 ]
[ x1*x3, x1*x2, x2^2, x1*x2*x1*x2^3 ]
[ x1, x2, x2^2, x1*x2*x1*x2^3 ]
[ x2*x1*x2^2*x3, x1, x2^2, x1*x2*x1*x2^3 ]
[ x3, x2, x2^2, x1*x2*x1*x2^3 ]
[ x2*x1*x2^2*x3, x1*x2, x2^2, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x3, x1, x1^2, x1^3*x2*x1*x2 ]
[ x1*x2*x1*x3, x2, x1^2, x1^3*x2*x1*x2 ]
[ x1*x2*x1*x3, x1*x2, x1^2, x1^3*x2*x1*x2 ]
[ x1, x2, x1^2, x1^3*x2*x1*x2 ]
[ x1*x2*x1*x2*x3, x1, x1^2, x1^3*x2*x1*x2 ]
[ x2*x1*x3, x2, x1^2, x1^3*x2*x1*x2 ]
[ x1*x2*x1*x2*x3, x1*x2, x1^2, x1^3*x2*x1*x2 ]
[ x1*x2*x1*x3, x1, x1^2, x1^3*x2*x1*x2 ]
[ x1*x2*x1*x3, x2, x1^2, x1^3*x2*x1*x2 ]
[ x1*x2*x1*x3, x1*x2, x1^2, x1^3*x2*x1*x2 ]
[ x1, x2, x1^2, x1^3*x2*x1*x2 ]
[ x1*x2*x1*x2*x3, x1, x1^2, x1^3*x2*x1*x2 ]
[ x2*x1*x3, x2, x1^2, x1^3*x2*x1*x2 ]
[ x1*x2*x1*x2*x3, x1*x2, x1^2, x1^3*x2*x1*x2 ]
[ x2*x3, x1, x2^2*x3^2, x2^2 ]
[ x2*x3, x2, x2^2*x3^2, x2^2 ]
[ x2*x3, x1*x2, x2^2*x3^2, x2^2 ]
[ x1, x2, x2^2*x3^2, x2^2 ]
[ x2^2*x3, x1, x2^2*x3^2, x2^2 ]
[ x2*x3*x1, x2, x2^2*x3^2, x2^2 ]
[ x2^2*x3, x1*x2, x2^2*x3^2, x2^2 ]
[ x1*x3, x1, x1^2*x3^2, x1^2 ]
[ x1*x3, x2, x1^2*x3^2, x1^2 ]
[ x1*x3, x1*x2, x1^2*x3^2, x1^2 ]
[ x1, x2, x1^2*x3^2, x1^2 ]
[ x1*x3*x2, x1, x1^2*x3^2, x1^2 ]
[ x1^2*x3, x2, x1^2*x3^2, x1^2 ]
[ x1*x3*x2, x1*x2, x1^2*x3^2, x1^2 ]
[ x1*x3, x1, x1^2*x3^2, x1^2 ]
[ x1*x3, x2, x1^2*x3^2, x1^2 ]
[ x1*x3, x1*x2, x1^2*x3^2, x1^2 ]
[ x1, x2, x1^2*x3^2, x1^2 ]
[ x1*x3*x2, x1, x1^2*x3^2, x1^2 ]
[ x1^2*x3, x2, x1^2*x3^2, x1^2 ]
[ x1*x3*x2, x1*x2, x1^2*x3^2, x1^2 ]
[ x1^3*x3, x1, x1^2*x3^2, x1^2 ]
[ x1^3*x3, x1*x2, x1^2*x3^2, x1^2 ]
[ x1^3*x3, x1^2*x2, x1^2*x3^2, x1^2 ]
[ x1, x1*x2, x1^2*x3^2, x1^2 ]
[ x3*x2, x1, x1^2*x3^2, x1^2 ]
[ x3, x1*x2, x1^2*x3^2, x1^2 ]
[ x3*x2, x1^2*x2, x1^2*x3^2, x1^2 ]
[ x1*x2*x1*x2*x3*x1, x2*x1*x2, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x3*x1, x2, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x3*x1, x2*x1, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x2*x1*x2, x2, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x1*x2*x1*x3*x1, x2*x1*x2, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x3, x2, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x1*x2*x1*x3*x1, x2*x1, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x3*x1, x2*x1*x2, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x3*x1, x2, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x3*x1, x2*x1, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x2*x1*x2, x2, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x1*x2*x1*x3*x1, x2*x1*x2, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x3, x2, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x1*x2*x1*x3*x1, x2*x1, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x3*x1, x2*x1*x2, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x3*x1, x2, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x3*x1, x2*x1, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x2*x1*x2, x2, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x1*x2*x1*x3*x1, x2*x1*x2, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x3, x2, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x1*x2*x1*x3*x1, x2*x1, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x3*x1, x2*x1*x2, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x3*x1, x2, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x3*x1, x2*x1, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x2*x1*x2, x2, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x1*x2*x1*x3*x1, x2*x1*x2, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x3, x2, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x1*x2*x1*x3*x1, x2*x1, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x3, x1, x1^2, x3^2 ]
[ x3, x2, x1^2, x3^2 ]
[ x3, x1*x2, x1^2, x3^2 ]
[ x1, x2, x1^2, x3^2 ]
[ x3*x2, x1, x1^2, x3^2 ]
[ x1^3*x3, x2, x1^2, x3^2 ]
[ x3*x2, x1*x2, x1^2, x3^2 ]
[ x3, x1, x1^2, x3^2 ]
[ x3, x2, x1^2, x3^2 ]
[ x3, x1*x2, x1^2, x3^2 ]
[ x1, x2, x1^2, x3^2 ]
[ x3*x2, x1, x1^2, x3^2 ]
[ x1^3*x3, x2, x1^2, x3^2 ]
[ x3*x2, x1*x2, x1^2, x3^2 ]
[ x3, x1, x1^2, x3^2 ]
[ x3, x2, x1^2, x3^2 ]
[ x3, x1*x2, x1^2, x3^2 ]
[ x1, x2, x1^2, x3^2 ]
[ x3*x2, x1, x1^2, x3^2 ]
[ x1^3*x3, x2, x1^2, x3^2 ]
[ x3*x2, x1*x2, x1^2, x3^2 ]
[ x1*x3, x1, x2*x3*x2*x3, x1^2 ]
[ x1*x3, x1*x3*x2*x3, x2*x3*x2*x3, x1^2 ]
[ x1*x3, x1^2*x3*x2*x3, x2*x3*x2*x3, x1^2 ]
[ x1, x1*x3*x2*x3, x2*x3*x2*x3, x1^2 ]
[ x2*x3, x1, x2*x3*x2*x3, x1^2 ]
[ x3, x1*x3*x2*x3, x2*x3*x2*x3, x1^2 ]
[ x2*x3, x1^2*x3*x2*x3, x2*x3*x2*x3, x1^2 ]
[ x3, x1, x3^2, x1*x2*x1*x2 ]
[ x3, x2, x3^2, x1*x2*x1*x2 ]
[ x3, x1*x2, x3^2, x1*x2*x1*x2 ]
[ x1, x2, x3^2, x1*x2*x1*x2 ]
[ x2*x1*x3*x1, x1, x3^2, x1*x2*x1*x2 ]
[ x3*x1, x2, x3^2, x1*x2*x1*x2 ]
[ x2*x1*x3*x1, x1*x2, x3^2, x1*x2*x1*x2 ]
[ x3, x2, x1^2, x1^3*x2*x1*x2 ]
[ x3, x1, x1^2, x1^3*x2*x1*x2 ]
[ x3, x2*x1, x1^2, x1^3*x2*x1*x2 ]
[ x2, x1, x1^2, x1^3*x2*x1*x2 ]
[ x1*x3, x2, x1^2, x1^3*x2*x1*x2 ]
[ x2*x3, x1, x1^2, x1^3*x2*x1*x2 ]
[ x1*x3, x2*x1, x1^2, x1^3*x2*x1*x2 ]
[ x3, x2, x2^2, x1*x2*x1*x2^3 ]
[ x3, x1, x2^2, x1*x2*x1*x2^3 ]
[ x3, x2*x1, x2^2, x1*x2*x1*x2^3 ]
[ x2, x1, x2^2, x1*x2*x1*x2^3 ]
[ x1*x3, x2, x2^2, x1*x2*x1*x2^3 ]
[ x2*x3, x1, x2^2, x1*x2*x1*x2^3 ]
[ x1*x3, x2*x1, x2^2, x1*x2*x1*x2^3 ]
[ x3, x1, x1^2, x3^2 ]
[ x3, x2, x1^2, x3^2 ]
[ x3, x1*x2, x1^2, x3^2 ]
[ x1, x2, x1^2, x3^2 ]
[ x2*x3, x1, x1^2, x3^2 ]
[ x3*x1, x2, x1^2, x3^2 ]
[ x2*x3, x1*x2, x1^2, x3^2 ]
[ x3, x2, x1^2, x1^3*x2*x1*x2 ]
[ x3, x1, x1^2, x1^3*x2*x1*x2 ]
[ x3, x2*x1, x1^2, x1^3*x2*x1*x2 ]
[ x2, x1, x1^2, x1^3*x2*x1*x2 ]
[ x1*x3, x2, x1^2, x1^3*x2*x1*x2 ]
[ x2*x3, x1, x1^2, x1^3*x2*x1*x2 ]
[ x1*x3, x2*x1, x1^2, x1^3*x2*x1*x2 ]
[ x1^2*x3, x2, x1^2, x2^2 ]
[ x1^2*x3, x1, x1^2, x2^2 ]
[ x1^2*x3, x2*x1, x1^2, x2^2 ]
[ x2, x1, x1^2, x2^2 ]
[ x1^3*x3, x2, x1^2, x2^2 ]
[ x1^2*x2*x3, x1, x1^2, x2^2 ]
[ x1^3*x3, x2*x1, x1^2, x2^2 ]
[ x1*x4, x2*x3, x2, x2^2*x3^2, x2^2 ]
[ x1*x4, x2*x3, x1, x2^2*x3^2, x2^2 ]
[ x1*x4, x2*x3, x1*x2, x2^2*x3^2, x2^2 ]
[ x1*x4, x2, x1, x2^2*x3^2, x2^2 ]
[ x1*x4, x1*x2*x3, x2, x2^2*x3^2, x2^2 ]
[ x1*x4, x2^2*x3, x1, x2^2*x3^2, x2^2 ]
[ x1*x4, x1*x2*x3, x1*x2, x2^2*x3^2, x2^2 ]
[ x2*x3, x2, x1, x2^2*x3^2, x2^2 ]
[ x4, x2*x3, x2, x2^2*x3^2, x2^2 ]
[ x1*x2*x4, x2*x3, x1, x2^2*x3^2, x2^2 ]
[ x4, x2*x3, x1*x2, x2^2*x3^2, x2^2 ]
[ x1*x2*x3*x4, x2, x1, x2^2*x3^2, x2^2 ]
[ x4, x1*x2*x3, x2, x2^2*x3^2, x2^2 ]
[ x1*x2*x4, x2^2*x3, x1, x2^2*x3^2, x2^2 ]
[ x4, x1*x2*x3, x1*x2, x2^2*x3^2, x2^2 ]
[ x1*x5, x4, x1, x2, x3^2 ]
[ x1*x5, x4, x1, x3, x3^2 ]
[ x1*x5, x4, x1, x2*x3, x3^2 ]
[ x1*x5, x4, x2, x3, x3^2 ]
[ x1*x5, x4, x1*x3, x2, x3^2 ]
[ x1*x5, x4, x1*x2, x3, x3^2 ]
[ x1*x5, x4, x1*x3, x2*x3, x3^2 ]
[ x1*x5, x1, x2, x3, x3^2 ]
[ x1*x5, x3^3*x4, x1, x2, x3^2 ]
[ x1*x5, x2*x4, x1, x3, x3^2 ]
[ x1*x5, x3^3*x4, x1, x2*x3, x3^2 ]
[ x1*x5, x1*x4, x2, x3, x3^2 ]
[ x1*x5, x3^3*x4, x1*x3, x2, x3^2 ]
[ x1*x5, x2*x4, x1*x2, x3, x3^2 ]
[ x1*x5, x3^3*x4, x1*x3, x2*x3, x3^2 ]
[ x4, x1, x2, x3, x3^2 ]
[ x1*x3*x5, x4, x1, x2, x3^2 ]
[ x1*x2*x5, x4, x1, x3, x3^2 ]
[ x1*x3*x5, x4, x1, x2*x3, x3^2 ]
[ x5, x4, x2, x3, x3^2 ]
[ x1*x3*x5, x4, x1*x3, x2, x3^2 ]
[ x1*x2*x5, x4, x1*x2, x3, x3^2 ]
[ x1*x3*x5, x4, x1*x3, x2*x3, x3^2 ]
[ x1*x4*x5, x1, x2, x3, x3^2 ]
[ x1*x3*x5, x3^3*x4, x1, x2, x3^2 ]
[ x1*x2*x5, x2*x4, x1, x3, x3^2 ]
[ x1*x3*x5, x3^3*x4, x1, x2*x3, x3^2 ]
[ x5, x1*x4, x2, x3, x3^2 ]
[ x1*x3*x5, x3^3*x4, x1*x3, x2, x3^2 ]
[ x1*x2*x5, x2*x4, x1*x2, x3, x3^2 ]
[ x1*x3*x5, x3^3*x4, x1*x3, x2*x3, x3^2 ]
[ x1*x4, x3, x1, x3^2, x2*x3*x2*x3^3 ]
[ x1*x4, x3, x2, x3^2, x2*x3*x2*x3^3 ]
[ x1*x4, x3, x1*x2, x3^2, x2*x3*x2*x3^3 ]
[ x1*x4, x1, x2, x3^2, x2*x3*x2*x3^3 ]
[ x1*x4, x3*x2, x1, x3^2, x2*x3*x2*x3^3 ]
[ x1*x4, x1*x3, x2, x3^2, x2*x3*x2*x3^3 ]
[ x1*x4, x3*x2, x1*x2, x3^2, x2*x3*x2*x3^3 ]
[ x3, x1, x2, x3^2, x2*x3*x2*x3^3 ]
[ x1*x2*x4, x3, x1, x3^2, x2*x3*x2*x3^3 ]
[ x4, x3, x2, x3^2, x2*x3*x2*x3^3 ]
[ x1*x2*x4, x3, x1*x2, x3^2, x2*x3*x2*x3^3 ]
[ x1*x3*x4, x1, x2, x3^2, x2*x3*x2*x3^3 ]
[ x1*x2*x4, x3*x2, x1, x3^2, x2*x3*x2*x3^3 ]
[ x4, x1*x3, x2, x3^2, x2*x3*x2*x3^3 ]
[ x1*x2*x4, x3*x2, x1*x2, x3^2, x2*x3*x2*x3^3 ]
[ x2*x4, x3, x1, x3^2, x1*x3*x1*x3^3 ]
[ x2*x4, x3, x2, x3^2, x1*x3*x1*x3^3 ]
[ x2*x4, x3, x1*x2, x3^2, x1*x3*x1*x3^3 ]
[ x2*x4, x1, x2, x3^2, x1*x3*x1*x3^3 ]
[ x2*x4, x2*x3, x1, x3^2, x1*x3*x1*x3^3 ]
[ x2*x4, x3*x1, x2, x3^2, x1*x3*x1*x3^3 ]
[ x2*x4, x2*x3, x1*x2, x3^2, x1*x3*x1*x3^3 ]
[ x3, x1, x2, x3^2, x1*x3*x1*x3^3 ]
[ x4, x3, x1, x3^2, x1*x3*x1*x3^3 ]
[ x1*x2*x4, x3, x2, x3^2, x1*x3*x1*x3^3 ]
[ x4, x3, x1*x2, x3^2, x1*x3*x1*x3^3 ]
[ x2*x3*x4, x1, x2, x3^2, x1*x3*x1*x3^3 ]
[ x4, x2*x3, x1, x3^2, x1*x3*x1*x3^3 ]
[ x1*x2*x4, x3*x1, x2, x3^2, x1*x3*x1*x3^3 ]
[ x4, x2*x3, x1*x2, x3^2, x1*x3*x1*x3^3 ]
[ x4, x1, x2, x1^2, x4^2 ]
[ x4, x1, x3, x1^2, x4^2 ]
[ x4, x1, x2*x3, x1^2, x4^2 ]
[ x4, x2, x3, x1^2, x4^2 ]
[ x4, x1*x3, x2, x1^2, x4^2 ]
[ x4, x1*x2, x3, x1^2, x4^2 ]
[ x4, x1*x3, x2*x3, x1^2, x4^2 ]
[ x1, x2, x3, x1^2, x4^2 ]
[ x3*x4, x1, x2, x1^2, x4^2 ]
[ x4*x2, x1, x3, x1^2, x4^2 ]
[ x3*x4, x1, x2*x3, x1^2, x4^2 ]
[ x1*x4, x2, x3, x1^2, x4^2 ]
[ x3*x4, x1*x3, x2, x1^2, x4^2 ]
[ x4*x2, x1*x2, x3, x1^2, x4^2 ]
[ x3*x4, x1*x3, x2*x3, x1^2, x4^2 ]
[ x2*x4, x3, x3*x1*x3, x4^2, x1*x3*x1*x3 ]
[ x2*x4, x3, x2, x4^2, x1*x3*x1*x3 ]
[ x2*x4, x3, x2*x3*x1*x3, x4^2, x1*x3*x1*x3 ]
[ x2*x4, x3*x1*x3, x2, x4^2, x1*x3*x1*x3 ]
[ x2*x4, x2*x3, x3*x1*x3, x4^2, x1*x3*x1*x3 ]
[ x2*x4, x1*x3, x2, x4^2, x1*x3*x1*x3 ]
[ x2*x4, x2*x3, x2*x3*x1*x3, x4^2, x1*x3*x1*x3 ]
[ x3, x3*x1*x3, x2, x4^2, x1*x3*x1*x3 ]
[ x4, x3, x3*x1*x3, x4^2, x1*x3*x1*x3 ]
[ x2*x3*x1*x3*x4, x3, x2, x4^2, x1*x3*x1*x3 ]
[ x4, x3, x2*x3*x1*x3, x4^2, x1*x3*x1*x3 ]
[ x2*x3*x4, x3*x1*x3, x2, x4^2, x1*x3*x1*x3 ]
[ x4, x2*x3, x3*x1*x3, x4^2, x1*x3*x1*x3 ]
[ x2*x3*x1*x3*x4, x1*x3, x2, x4^2, x1*x3*x1*x3 ]
[ x4, x2*x3, x2*x3*x1*x3, x4^2, x1*x3*x1*x3 ]
[ x4, x2*x1*x3, x2, x3^2, x2^2 ]
[ x4, x2*x1*x3, x1, x3^2, x2^2 ]
[ x4, x2*x1*x3, x2*x1, x3^2, x2^2 ]
[ x4, x2, x1, x3^2, x2^2 ]
[ x4, x1*x2*x1*x3, x2, x3^2, x2^2 ]
[ x4, x1*x2^2*x3, x1, x3^2, x2^2 ]
[ x4, x1*x2*x1*x3, x2*x1, x3^2, x2^2 ]
[ x2*x1*x3, x2, x1, x3^2, x2^2 ]
[ x1*x4, x2*x1*x3, x2, x3^2, x2^2 ]
[ x2*x4, x2*x1*x3, x1, x3^2, x2^2 ]
[ x1*x4, x2*x1*x3, x2*x1, x3^2, x2^2 ]
[ x2*x1*x3*x4, x2, x1, x3^2, x2^2 ]
[ x1*x4, x1*x2*x1*x3, x2, x3^2, x2^2 ]
[ x2*x4, x1*x2^2*x3, x1, x3^2, x2^2 ]
[ x1*x4, x1*x2*x1*x3, x2*x1, x3^2, x2^2 ]
[ x2*x4, x1^3*x3, x1, x3^2, x1^2 ]
[ x2*x4, x1^3*x3, x2, x3^2, x1^2 ]
[ x2*x4, x1^3*x3, x1*x2, x3^2, x1^2 ]
[ x2*x4, x1, x2, x3^2, x1^2 ]
[ x2*x4, x1^3*x2*x3, x1, x3^2, x1^2 ]
[ x2*x4, x1^2*x3, x2, x3^2, x1^2 ]
[ x2*x4, x1^3*x2*x3, x1*x2, x3^2, x1^2 ]
[ x1^3*x3, x1, x2, x3^2, x1^2 ]
[ x4, x1^3*x3, x1, x3^2, x1^2 ]
[ x1*x2*x4, x1^3*x3, x2, x3^2, x1^2 ]
[ x4, x1^3*x3, x1*x2, x3^2, x1^2 ]
[ x1^3*x2*x3*x4, x1, x2, x3^2, x1^2 ]
[ x4, x1^3*x2*x3, x1, x3^2, x1^2 ]
[ x1*x2*x4, x1^2*x3, x2, x3^2, x1^2 ]
[ x4, x1^3*x2*x3, x1*x2, x3^2, x1^2 ]
[ x4, x3, x1, x2^2, x1*x3*x1*x3 ]
[ x4, x3, x2, x2^2, x1*x3*x1*x3 ]
[ x4, x3, x1*x2, x2^2, x1*x3*x1*x3 ]
[ x4, x1, x2, x2^2, x1*x3*x1*x3 ]
[ x4, x2*x3, x1, x2^2, x1*x3*x1*x3 ]
[ x4, x3*x1, x2, x2^2, x1*x3*x1*x3 ]
[ x4, x2*x3, x1*x2, x2^2, x1*x3*x1*x3 ]
[ x3, x1, x2, x2^2, x1*x3*x1*x3 ]
[ x2*x4, x3, x1, x2^2, x1*x3*x1*x3 ]
[ x1*x4, x3, x2, x2^2, x1*x3*x1*x3 ]
[ x2*x4, x3, x1*x2, x2^2, x1*x3*x1*x3 ]
[ x3*x4, x1, x2, x2^2, x1*x3*x1*x3 ]
[ x2*x4, x2*x3, x1, x2^2, x1*x3*x1*x3 ]
[ x1*x4, x3*x1, x2, x2^2, x1*x3*x1*x3 ]
[ x2*x4, x2*x3, x1*x2, x2^2, x1*x3*x1*x3 ]
[ x4, x3, x1, x2^2, x1*x3*x1*x3 ]
[ x4, x3, x2, x2^2, x1*x3*x1*x3 ]
[ x4, x3, x1*x2, x2^2, x1*x3*x1*x3 ]
[ x4, x1, x2, x2^2, x1*x3*x1*x3 ]
[ x4, x2*x3, x1, x2^2, x1*x3*x1*x3 ]
[ x4, x3*x1, x2, x2^2, x1*x3*x1*x3 ]
[ x4, x2*x3, x1*x2, x2^2, x1*x3*x1*x3 ]
[ x3, x1, x2, x2^2, x1*x3*x1*x3 ]
[ x2*x4, x3, x1, x2^2, x1*x3*x1*x3 ]
[ x1*x4, x3, x2, x2^2, x1*x3*x1*x3 ]
[ x2*x4, x3, x1*x2, x2^2, x1*x3*x1*x3 ]
[ x3*x4, x1, x2, x2^2, x1*x3*x1*x3 ]
[ x2*x4, x2*x3, x1, x2^2, x1*x3*x1*x3 ]
[ x1*x4, x3*x1, x2, x2^2, x1*x3*x1*x3 ]
[ x2*x4, x2*x3, x1*x2, x2^2, x1*x3*x1*x3 ]
[ x4, x1*x2, x2, x4^2, x1^2*x4^2 ]
[ x4, x1*x2, x3, x4^2, x1^2*x4^2 ]
[ x4, x1*x2, x2*x3, x4^2, x1^2*x4^2 ]
[ x4, x2, x3, x4^2, x1^2*x4^2 ]
[ x4, x1*x2*x3, x2, x4^2, x1^2*x4^2 ]
[ x4, x1, x3, x4^2, x1^2*x4^2 ]
[ x4, x1*x2*x3, x2*x3, x4^2, x1^2*x4^2 ]
[ x1*x2, x2, x3, x4^2, x1^2*x4^2 ]
[ x3*x4, x1*x2, x2, x4^2, x1^2*x4^2 ]
[ x1^3*x2*x4*x1, x1*x2, x3, x4^2, x1^2*x4^2 ]
[ x3*x4, x1*x2, x2*x3, x4^2, x1^2*x4^2 ]
[ x1*x2*x4, x2, x3, x4^2, x1^2*x4^2 ]
[ x3*x4, x1*x2*x3, x2, x4^2, x1^2*x4^2 ]
[ x1^3*x2*x4*x1, x1, x3, x4^2, x1^2*x4^2 ]
[ x3*x4, x1*x2*x3, x2*x3, x4^2, x1^2*x4^2 ]
[ x2*x1*x3*x4, x3, x2, x1*x2*x1*x2*x4^2, x1*x2*x1*x2 ]
[ x2*x1*x3*x4, x3, x2*x1*x2, x1*x2*x1*x2*x4^2, x1*x2*x1*x2 ]
[ x2*x1*x3*x4, x3, x1*x2, x1*x2*x1*x2*x4^2, x1*x2*x1*x2 ]
[ x2*x1*x3*x4, x2, x2*x1*x2, x1*x2*x1*x2*x4^2, x1*x2*x1*x2 ]
[ x2*x1*x3*x4, x2*x1*x2*x3, x2, x1*x2*x1*x2*x4^2, x1*x2*x1*x2 ]
[ x2*x1*x3*x4, x2*x3, x2*x1*x2, x1*x2*x1*x2*x4^2, x1*x2*x1*x2 ]
[ x2*x1*x3*x4, x2*x1*x2*x3, x1*x2, x1*x2*x1*x2*x4^2, x1*x2*x1*x2 ]
[ x3, x2, x2*x1*x2, x1*x2*x1*x2*x4^2, x1*x2*x1*x2 ]
[ x2*x3*x4, x3, x2, x1*x2*x1*x2*x4^2, x1*x2*x1*x2 ]
[ x1*x3*x4, x3, x2*x1*x2, x1*x2*x1*x2*x4^2, x1*x2*x1*x2 ]
[ x2*x3*x4, x3, x1*x2, x1*x2*x1*x2*x4^2, x1*x2*x1*x2 ]
[ x2*x1*x4, x2, x2*x1*x2, x1*x2*x1*x2*x4^2, x1*x2*x1*x2 ]
[ x2*x3*x4, x2*x1*x2*x3, x2, x1*x2*x1*x2*x4^2, x1*x2*x1*x2 ]
[ x1*x3*x4, x2*x3, x2*x1*x2, x1*x2*x1*x2*x4^2, x1*x2*x1*x2 ]
[ x2*x3*x4, x2*x1*x2*x3, x1*x2, x1*x2*x1*x2*x4^2, x1*x2*x1*x2 ]
[ x4, x1, x2*x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x4, x1, x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x4, x1, x2, x2^2, x1*x2^2*x4*x1*x4 ]
[ x4, x2*x3, x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x4, x1*x3, x2*x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x4, x1*x2*x3, x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x4, x1*x3, x2, x2^2, x1*x2^2*x4*x1*x4 ]
[ x1, x2*x3, x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x3*x4, x1, x2*x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x2*x3*x4, x1, x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x3*x4, x1, x2, x2^2, x1*x2^2*x4*x1*x4 ]
[ x4*x1, x2*x3, x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x3*x4, x1*x3, x2*x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x2*x3*x4, x1*x2*x3, x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x3*x4, x1*x3, x2, x2^2, x1*x2^2*x4*x1*x4 ]
[ x4, x1, x2, x2^2, x1*x2^2*x4*x1*x4 ]
[ x4, x1, x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x4, x1, x2*x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x4, x2, x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x4, x1*x3, x2, x2^2, x1*x2^2*x4*x1*x4 ]
[ x4, x1*x2, x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x4, x1*x3, x2*x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x1, x2, x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x3*x4, x1, x2, x2^2, x1*x2^2*x4*x1*x4 ]
[ x2*x4, x1, x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x3*x4, x1, x2*x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x4*x1, x2, x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x3*x4, x1*x3, x2, x2^2, x1*x2^2*x4*x1*x4 ]
[ x2*x4, x1*x2, x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x3*x4, x1*x3, x2*x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x4, x1, x2, x2^2, x1*x2^2*x4*x1*x4 ]
[ x4, x1, x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x4, x1, x2*x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x4, x2, x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x4, x1*x3, x2, x2^2, x1*x2^2*x4*x1*x4 ]
[ x4, x1*x2, x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x4, x1*x3, x2*x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x1, x2, x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x3*x4, x1, x2, x2^2, x1*x2^2*x4*x1*x4 ]
[ x2*x4, x1, x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x3*x4, x1, x2*x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x4*x1, x2, x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x3*x4, x1*x3, x2, x2^2, x1*x2^2*x4*x1*x4 ]
[ x2*x4, x1*x2, x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x3*x4, x1*x3, x2*x3, x2^2, x1*x2^2*x4*x1*x4 ]
[ x4, x1*x2, x2, x4^2, x1^2*x4^2 ]
[ x4, x1*x2, x3, x4^2, x1^2*x4^2 ]
[ x4, x1*x2, x2*x3, x4^2, x1^2*x4^2 ]
[ x4, x2, x3, x4^2, x1^2*x4^2 ]
[ x4, x1*x2*x3, x2, x4^2, x1^2*x4^2 ]
[ x4, x1, x3, x4^2, x1^2*x4^2 ]
[ x4, x1*x2*x3, x2*x3, x4^2, x1^2*x4^2 ]
[ x1*x2, x2, x3, x4^2, x1^2*x4^2 ]
[ x3*x4, x1*x2, x2, x4^2, x1^2*x4^2 ]
[ x1^3*x2*x4*x1, x1*x2, x3, x4^2, x1^2*x4^2 ]
[ x3*x4, x1*x2, x2*x3, x4^2, x1^2*x4^2 ]
[ x1*x2*x4, x2, x3, x4^2, x1^2*x4^2 ]
[ x3*x4, x1*x2*x3, x2, x4^2, x1^2*x4^2 ]
[ x1^3*x2*x4*x1, x1, x3, x4^2, x1^2*x4^2 ]
[ x3*x4, x1*x2*x3, x2*x3, x4^2, x1^2*x4^2 ]
[ x4, x1, x2, x4^2, x3*x4*x3*x4 ]
[ x4, x1, x1*x3, x4^2, x3*x4*x3*x4 ]
[ x4, x1, x1*x2*x3, x4^2, x3*x4*x3*x4 ]
[ x4, x2, x1*x3, x4^2, x3*x4*x3*x4 ]
[ x4, x3, x2, x4^2, x3*x4*x3*x4 ]
[ x4, x1*x2, x1*x3, x4^2, x3*x4*x3*x4 ]
[ x4, x3, x1*x2*x3, x4^2, x3*x4*x3*x4 ]
[ x1, x2, x1*x3, x4^2, x3*x4*x3*x4 ]
[ x4*x1*x3, x1, x2, x4^2, x3*x4*x3*x4 ]
[ x2*x4, x1, x1*x3, x4^2, x3*x4*x3*x4 ]
[ x4*x1*x3, x1, x1*x2*x3, x4^2, x3*x4*x3*x4 ]
[ x4*x1, x2, x1*x3, x4^2, x3*x4*x3*x4 ]
[ x4*x1*x3, x3, x2, x4^2, x3*x4*x3*x4 ]
[ x2*x4, x1*x2, x1*x3, x4^2, x3*x4*x3*x4 ]
[ x4*x1*x3, x3, x1*x2*x3, x4^2, x3*x4*x3*x4 ]
[ x4, x3, x1, x3^2, x2*x3*x2*x3 ]
[ x4, x3, x1*x2, x3^2, x2*x3*x2*x3 ]
[ x4, x3, x2, x3^2, x2*x3*x2*x3 ]
[ x4, x1, x1*x2, x3^2, x2*x3*x2*x3 ]
[ x4, x3*x1*x2, x1, x3^2, x2*x3*x2*x3 ]
[ x4, x3*x1, x1*x2, x3^2, x2*x3*x2*x3 ]
[ x4, x3*x1*x2, x2, x3^2, x2*x3*x2*x3 ]
[ x3, x1, x1*x2, x3^2, x2*x3*x2*x3 ]
[ x1*x2*x4, x3, x1, x3^2, x2*x3*x2*x3 ]
[ x1*x4, x3, x1*x2, x3^2, x2*x3*x2*x3 ]
[ x1*x2*x4, x3, x2, x3^2, x2*x3*x2*x3 ]
[ x3*x4, x1, x1*x2, x3^2, x2*x3*x2*x3 ]
[ x1*x2*x4, x3*x1*x2, x1, x3^2, x2*x3*x2*x3 ]
[ x1*x4, x3*x1, x1*x2, x3^2, x2*x3*x2*x3 ]
[ x1*x2*x4, x3*x1*x2, x2, x3^2, x2*x3*x2*x3 ]
[ x4, x1*x4^2, x2, x4^2, x1*x2*x1*x2 ]
[ x4, x1*x4^2, x3, x4^2, x1*x2*x1*x2 ]
[ x4, x1*x4^2, x2*x3, x4^2, x1*x2*x1*x2 ]
[ x4, x2, x3, x4^2, x1*x2*x1*x2 ]
[ x4, x1*x3*x4^2, x2, x4^2, x1*x2*x1*x2 ]
[ x4, x1*x2*x4^2, x3, x4^2, x1*x2*x1*x2 ]
[ x4, x1*x3*x4^2, x2*x3, x4^2, x1*x2*x1*x2 ]
[ x1*x4^2, x2, x3, x4^2, x1*x2*x1*x2 ]
[ x3*x4, x1*x4^2, x2, x4^2, x1*x2*x1*x2 ]
[ x2*x4, x1*x4^2, x3, x4^2, x1*x2*x1*x2 ]
[ x3*x4, x1*x4^2, x2*x3, x4^2, x1*x2*x1*x2 ]
[ x1*x4, x2, x3, x4^2, x1*x2*x1*x2 ]
[ x3*x4, x1*x3*x4^2, x2, x4^2, x1*x2*x1*x2 ]
[ x2*x4, x1*x2*x4^2, x3, x4^2, x1*x2*x1*x2 ]
[ x3*x4, x1*x3*x4^2, x2*x3, x4^2, x1*x2*x1*x2 ]
[ x4, x1, x2, x1^3*x4*x1*x4, x1^2 ]
[ x4, x1, x3, x1^3*x4*x1*x4, x1^2 ]
[ x4, x1, x2*x3, x1^3*x4*x1*x4, x1^2 ]
[ x4, x2, x3, x1^3*x4*x1*x4, x1^2 ]
[ x4, x1*x3, x2, x1^3*x4*x1*x4, x1^2 ]
[ x4, x1*x2, x3, x1^3*x4*x1*x4, x1^2 ]
[ x4, x1*x3, x2*x3, x1^3*x4*x1*x4, x1^2 ]
[ x1, x2, x3, x1^3*x4*x1*x4, x1^2 ]
[ x3*x4, x1, x2, x1^3*x4*x1*x4, x1^2 ]
[ x2*x4, x1, x3, x1^3*x4*x1*x4, x1^2 ]
[ x3*x4, x1, x2*x3, x1^3*x4*x1*x4, x1^2 ]
[ x4*x1, x2, x3, x1^3*x4*x1*x4, x1^2 ]
[ x3*x4, x1*x3, x2, x1^3*x4*x1*x4, x1^2 ]
[ x2*x4, x1*x2, x3, x1^3*x4*x1*x4, x1^2 ]
[ x3*x4, x1*x3, x2*x3, x1^3*x4*x1*x4, x1^2 ]
[ x4, x1, x2, x4^2, x1^2 ]
[ x4, x1, x3, x4^2, x1^2 ]
[ x4, x1, x2*x3, x4^2, x1^2 ]
[ x4, x2, x3, x4^2, x1^2 ]
[ x4, x1*x3, x2, x4^2, x1^2 ]
[ x4, x1*x2, x3, x4^2, x1^2 ]
[ x4, x1*x3, x2*x3, x4^2, x1^2 ]
[ x1, x2, x3, x4^2, x1^2 ]
[ x3*x4, x1, x2, x4^2, x1^2 ]
[ x4*x2, x1, x3, x4^2, x1^2 ]
[ x3*x4, x1, x2*x3, x4^2, x1^2 ]
[ x1^3*x4, x2, x3, x4^2, x1^2 ]
[ x3*x4, x1*x3, x2, x4^2, x1^2 ]
[ x4*x2, x1*x2, x3, x4^2, x1^2 ]
[ x3*x4, x1*x3, x2*x3, x4^2, x1^2 ]
[ x4, x1, x2, x4^2, x2^2 ]
[ x4, x1, x3, x4^2, x2^2 ]
[ x4, x1, x2*x3, x4^2, x2^2 ]
[ x4, x2, x3, x4^2, x2^2 ]
[ x4, x1*x3, x2, x4^2, x2^2 ]
[ x4, x1*x2, x3, x4^2, x2^2 ]
[ x4, x1*x3, x2*x3, x4^2, x2^2 ]
[ x1, x2, x3, x4^2, x2^2 ]
[ x3*x4, x1, x2, x4^2, x2^2 ]
[ x1*x2*x1*x4, x1, x3, x4^2, x2^2 ]
[ x3*x4, x1, x2*x3, x4^2, x2^2 ]
[ x4*x1, x2, x3, x4^2, x2^2 ]
[ x3*x4, x1*x3, x2, x4^2, x2^2 ]
[ x1*x2*x1*x4, x1*x2, x3, x4^2, x2^2 ]
[ x3*x4, x1*x3, x2*x3, x4^2, x2^2 ]
[ x4, x2*x3, x1, x1^2, x1^3*x2*x1*x2 ]
[ x4, x2*x3, x2, x1^2, x1^3*x2*x1*x2 ]
[ x4, x2*x3, x1*x2, x1^2, x1^3*x2*x1*x2 ]
[ x4, x1, x2, x1^2, x1^3*x2*x1*x2 ]
[ x4, x3, x1, x1^2, x1^3*x2*x1*x2 ]
[ x4, x1^3*x2*x3, x2, x1^2, x1^3*x2*x1*x2 ]
[ x4, x3, x1*x2, x1^2, x1^3*x2*x1*x2 ]
[ x2*x3, x1, x2, x1^2, x1^3*x2*x1*x2 ]
[ x2*x4, x2*x3, x1, x1^2, x1^3*x2*x1*x2 ]
[ x1*x4, x2*x3, x2, x1^2, x1^3*x2*x1*x2 ]
[ x2*x4, x2*x3, x1*x2, x1^2, x1^3*x2*x1*x2 ]
[ x2*x3*x4, x1, x2, x1^2, x1^3*x2*x1*x2 ]
[ x2*x4, x3, x1, x1^2, x1^3*x2*x1*x2 ]
[ x1*x4, x1^3*x2*x3, x2, x1^2, x1^3*x2*x1*x2 ]
[ x2*x4, x3, x1*x2, x1^2, x1^3*x2*x1*x2 ]
[ x4, x1, x2, x4^2, x1^2 ]
[ x4, x1, x3, x4^2, x1^2 ]
[ x4, x1, x2*x3, x4^2, x1^2 ]
[ x4, x2, x3, x4^2, x1^2 ]
[ x4, x1*x3, x2, x4^2, x1^2 ]
[ x4, x1*x2, x3, x4^2, x1^2 ]
[ x4, x1*x3, x2*x3, x4^2, x1^2 ]
[ x1, x2, x3, x4^2, x1^2 ]
[ x3*x4, x1, x2, x4^2, x1^2 ]
[ x4*x2, x1, x3, x4^2, x1^2 ]
[ x3*x4, x1, x2*x3, x4^2, x1^2 ]
[ x1*x4, x2, x3, x4^2, x1^2 ]
[ x3*x4, x1*x3, x2, x4^2, x1^2 ]
[ x4*x2, x1*x2, x3, x4^2, x1^2 ]
[ x3*x4, x1*x3, x2*x3, x4^2, x1^2 ]
[ x4, x3, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x4, x3, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x4, x3, x1*x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x4, x1, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x4, x3*x2, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x4, x3*x1, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x4, x3*x2, x1*x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3, x1, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x2*x4, x3, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1*x4, x3, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x2*x4, x3, x1*x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x4, x1, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x2*x4, x3*x2, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1*x4, x3*x1, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x2*x4, x3*x2, x1*x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x4, x2*x3, x1, x2^2*x3^2, x2^2 ]
[ x4, x2*x3, x2, x2^2*x3^2, x2^2 ]
[ x4, x2*x3, x1*x2, x2^2*x3^2, x2^2 ]
[ x4, x1, x2, x2^2*x3^2, x2^2 ]
[ x4, x2^2*x3, x1, x2^2*x3^2, x2^2 ]
[ x4, x2*x3*x1, x2, x2^2*x3^2, x2^2 ]
[ x4, x2^2*x3, x1*x2, x2^2*x3^2, x2^2 ]
[ x2*x3, x1, x2, x2^2*x3^2, x2^2 ]
[ x2*x4, x2*x3, x1, x2^2*x3^2, x2^2 ]
[ x1*x4, x2*x3, x2, x2^2*x3^2, x2^2 ]
[ x2*x4, x2*x3, x1*x2, x2^2*x3^2, x2^2 ]
[ x2*x3*x4, x1, x2, x2^2*x3^2, x2^2 ]
[ x2*x4, x2^2*x3, x1, x2^2*x3^2, x2^2 ]
[ x1*x4, x2*x3*x1, x2, x2^2*x3^2, x2^2 ]
[ x2*x4, x2^2*x3, x1*x2, x2^2*x3^2, x2^2 ]
[ x4, x1*x3, x1, x1^2*x3^2, x1^2 ]
[ x4, x1*x3, x2, x1^2*x3^2, x1^2 ]
[ x4, x1*x3, x1*x2, x1^2*x3^2, x1^2 ]
[ x4, x1, x2, x1^2*x3^2, x1^2 ]
[ x4, x1*x3*x2, x1, x1^2*x3^2, x1^2 ]
[ x4, x1^2*x3, x2, x1^2*x3^2, x1^2 ]
[ x4, x1*x3*x2, x1*x2, x1^2*x3^2, x1^2 ]
[ x1*x3, x1, x2, x1^2*x3^2, x1^2 ]
[ x2*x4, x1*x3, x1, x1^2*x3^2, x1^2 ]
[ x1*x4, x1*x3, x2, x1^2*x3^2, x1^2 ]
[ x2*x4, x1*x3, x1*x2, x1^2*x3^2, x1^2 ]
[ x1*x3*x4, x1, x2, x1^2*x3^2, x1^2 ]
[ x2*x4, x1*x3*x2, x1, x1^2*x3^2, x1^2 ]
[ x1*x4, x1^2*x3, x2, x1^2*x3^2, x1^2 ]
[ x2*x4, x1*x3*x2, x1*x2, x1^2*x3^2, x1^2 ]
[ x4, x3, x1, x1^2, x1*x3*x1*x3 ]
[ x4, x3, x2, x1^2, x1*x3*x1*x3 ]
[ x4, x3, x1*x2, x1^2, x1*x3*x1*x3 ]
[ x4, x1, x2, x1^2, x1*x3*x1*x3 ]
[ x4, x1*x2*x3*x1, x1, x1^2, x1*x3*x1*x3 ]
[ x4, x3*x1, x2, x1^2, x1*x3*x1*x3 ]
[ x4, x1*x2*x3*x1, x1*x2, x1^2, x1*x3*x1*x3 ]
[ x3, x1, x2, x1^2, x1*x3*x1*x3 ]
[ x2*x4, x3, x1, x1^2, x1*x3*x1*x3 ]
[ x1*x4, x3, x2, x1^2, x1*x3*x1*x3 ]
[ x2*x4, x3, x1*x2, x1^2, x1*x3*x1*x3 ]
[ x3*x4, x1, x2, x1^2, x1*x3*x1*x3 ]
[ x2*x4, x1*x2*x3*x1, x1, x1^2, x1*x3*x1*x3 ]
[ x1*x4, x3*x1, x2, x1^2, x1*x3*x1*x3 ]
[ x2*x4, x1*x2*x3*x1, x1*x2, x1^2, x1*x3*x1*x3 ]
[ x4, x3, x1, x2*x3*x2*x3, x1^2 ]
[ x4, x3, x1^2*x2, x2*x3*x2*x3, x1^2 ]
[ x4, x3, x1^3*x2, x2*x3*x2*x3, x1^2 ]
[ x4, x1, x1^2*x2, x2*x3*x2*x3, x1^2 ]
[ x4, x1^2*x3*x2, x1, x2*x3*x2*x3, x1^2 ]
[ x4, x1*x3, x1^2*x2, x2*x3*x2*x3, x1^2 ]
[ x4, x1^2*x3*x2, x1^3*x2, x2*x3*x2*x3, x1^2 ]
[ x3, x1, x1^2*x2, x2*x3*x2*x3, x1^2 ]
[ x1^2*x2*x4, x3, x1, x2*x3*x2*x3, x1^2 ]
[ x1*x4, x3, x1^2*x2, x2*x3*x2*x3, x1^2 ]
[ x1^2*x2*x4, x3, x1^3*x2, x2*x3*x2*x3, x1^2 ]
[ x3*x4, x1, x1^2*x2, x2*x3*x2*x3, x1^2 ]
[ x1^2*x2*x4, x1^2*x3*x2, x1, x2*x3*x2*x3, x1^2 ]
[ x1*x4, x1*x3, x1^2*x2, x2*x3*x2*x3, x1^2 ]
[ x1^2*x2*x4, x1^2*x3*x2, x1^3*x2, x2*x3*x2*x3, x1^2 ]
[ x4, x1, x2, x4^2, x3*x4*x3*x4 ]
[ x4, x1, x2*x3, x4^2, x3*x4*x3*x4 ]
[ x4, x1, x3, x4^2, x3*x4*x3*x4 ]
[ x4, x2, x2*x3, x4^2, x3*x4*x3*x4 ]
[ x4, x1*x2*x3, x2, x4^2, x3*x4*x3*x4 ]
[ x4, x1*x2, x2*x3, x4^2, x3*x4*x3*x4 ]
[ x4, x1*x2*x3, x3, x4^2, x3*x4*x3*x4 ]
[ x1, x2, x2*x3, x4^2, x3*x4*x3*x4 ]
[ x4*x2*x3, x1, x2, x4^2, x3*x4*x3*x4 ]
[ x4*x2, x1, x2*x3, x4^2, x3*x4*x3*x4 ]
[ x4*x2*x3, x1, x3, x4^2, x3*x4*x3*x4 ]
[ x1*x4, x2, x2*x3, x4^2, x3*x4*x3*x4 ]
[ x4*x2*x3, x1*x2*x3, x2, x4^2, x3*x4*x3*x4 ]
[ x4*x2, x1*x2, x2*x3, x4^2, x3*x4*x3*x4 ]
[ x4*x2*x3, x1*x2*x3, x3, x4^2, x3*x4*x3*x4 ]
[ x4, x1, x1*x2, x4^2, x3*x4*x3*x4 ]
[ x4, x1, x1*x2*x3, x4^2, x3*x4*x3*x4 ]
[ x4, x1, x3, x4^2, x3*x4*x3*x4 ]
[ x4, x1*x2, x1*x2*x3, x4^2, x3*x4*x3*x4 ]
[ x4, x2*x3, x1*x2, x4^2, x3*x4*x3*x4 ]
[ x4, x2, x1*x2*x3, x4^2, x3*x4*x3*x4 ]
[ x4, x2*x3, x3, x4^2, x3*x4*x3*x4 ]
[ x1, x1*x2, x1*x2*x3, x4^2, x3*x4*x3*x4 ]
[ x1*x4*x2*x3, x1, x1*x2, x4^2, x3*x4*x3*x4 ]
[ x1*x4*x2, x1, x1*x2*x3, x4^2, x3*x4*x3*x4 ]
[ x1*x4*x2*x3, x1, x3, x4^2, x3*x4*x3*x4 ]
[ x1*x4, x1*x2, x1*x2*x3, x4^2, x3*x4*x3*x4 ]
[ x1*x4*x2*x3, x2*x3, x1*x2, x4^2, x3*x4*x3*x4 ]
[ x1*x4*x2, x2, x1*x2*x3, x4^2, x3*x4*x3*x4 ]
[ x1*x4*x2*x3, x2*x3, x3, x4^2, x3*x4*x3*x4 ]
[ x1*x3*x4, x1*x2, x1, x2^2, x2^3*x3*x2*x3 ]
[ x1*x3*x4, x1*x2, x1*x3, x2^2, x2^3*x3*x2*x3 ]
[ x1*x3*x4, x1*x2, x3, x2^2, x2^3*x3*x2*x3 ]
[ x1*x3*x4, x1, x1*x3, x2^2, x2^3*x3*x2*x3 ]
[ x1*x3*x4, x2*x3, x1, x2^2, x2^3*x3*x2*x3 ]
[ x1*x3*x4, x2, x1*x3, x2^2, x2^3*x3*x2*x3 ]
[ x1*x3*x4, x2*x3, x3, x2^2, x2^3*x3*x2*x3 ]
[ x1*x2, x1, x1*x3, x2^2, x2^3*x3*x2*x3 ]
[ x4, x1*x2, x1, x2^2, x2^3*x3*x2*x3 ]
[ x3*x4, x1*x2, x1*x3, x2^2, x2^3*x3*x2*x3 ]
[ x4, x1*x2, x3, x2^2, x2^3*x3*x2*x3 ]
[ x2^3*x3*x4, x1, x1*x3, x2^2, x2^3*x3*x2*x3 ]
[ x4, x2*x3, x1, x2^2, x2^3*x3*x2*x3 ]
[ x3*x4, x2, x1*x3, x2^2, x2^3*x3*x2*x3 ]
[ x4, x2*x3, x3, x2^2, x2^3*x3*x2*x3 ]
[ x3*x4, x1*x2, x1, x2^2, x2^3*x3*x2*x3 ]
[ x3*x4, x1*x2, x3, x2^2, x2^3*x3*x2*x3 ]
[ x3*x4, x1*x2, x1*x3, x2^2, x2^3*x3*x2*x3 ]
[ x3*x4, x1, x3, x2^2, x2^3*x3*x2*x3 ]
[ x3*x4, x1*x2*x3, x1, x2^2, x2^3*x3*x2*x3 ]
[ x3*x4, x2, x3, x2^2, x2^3*x3*x2*x3 ]
[ x3*x4, x1*x2*x3, x1*x3, x2^2, x2^3*x3*x2*x3 ]
[ x1*x2, x1, x3, x2^2, x2^3*x3*x2*x3 ]
[ x4, x1*x2, x1, x2^2, x2^3*x3*x2*x3 ]
[ x1*x3*x4, x1*x2, x3, x2^2, x2^3*x3*x2*x3 ]
[ x4, x1*x2, x1*x3, x2^2, x2^3*x3*x2*x3 ]
[ x1*x2^3*x3*x4, x1, x3, x2^2, x2^3*x3*x2*x3 ]
[ x4, x1*x2*x3, x1, x2^2, x2^3*x3*x2*x3 ]
[ x1*x3*x4, x2, x3, x2^2, x2^3*x3*x2*x3 ]
[ x4, x1*x2*x3, x1*x3, x2^2, x2^3*x3*x2*x3 ]
[ x1*x2*x3*x2*x4, x1*x2, x1, x2^2, x2^3*x3*x2*x3 ]
[ x1*x2*x3*x2*x4, x1*x2, x3, x2^2, x2^3*x3*x2*x3 ]
[ x1*x2*x3*x2*x4, x1*x2, x1*x3, x2^2, x2^3*x3*x2*x3 ]
[ x1*x2*x3*x2*x4, x1, x3, x2^2, x2^3*x3*x2*x3 ]
[ x1*x2*x3*x2*x4, x1*x2*x3, x1, x2^2, x2^3*x3*x2*x3 ]
[ x1*x2*x3*x2*x4, x2, x3, x2^2, x2^3*x3*x2*x3 ]
[ x1*x2*x3*x2*x4, x1*x2*x3, x1*x3, x2^2, x2^3*x3*x2*x3 ]
[ x1*x2, x1, x3, x2^2, x2^3*x3*x2*x3 ]
[ x1*x2*x3*x2*x3*x4, x1*x2, x1, x2^2, x2^3*x3*x2*x3 ]
[ x2*x3*x2*x4, x1*x2, x3, x2^2, x2^3*x3*x2*x3 ]
[ x1*x2*x3*x2*x3*x4, x1*x2, x1*x3, x2^2, x2^3*x3*x2*x3 ]
[ x3*x2*x4, x1, x3, x2^2, x2^3*x3*x2*x3 ]
[ x1*x2*x3*x2*x3*x4, x1*x2*x3, x1, x2^2, x2^3*x3*x2*x3 ]
[ x2*x3*x2*x4, x2, x3, x2^2, x2^3*x3*x2*x3 ]
[ x1*x2*x3*x2*x3*x4, x1*x2*x3, x1*x3, x2^2, x2^3*x3*x2*x3 ]
[ x2*x3*x2*x4, x1*x2, x1, x2^2, x2^3*x3*x2*x3 ]
[ x2*x3*x2*x4, x1*x2, x1*x3, x2^2, x2^3*x3*x2*x3 ]
[ x2*x3*x2*x4, x1*x2, x3, x2^2, x2^3*x3*x2*x3 ]
[ x2*x3*x2*x4, x1, x1*x3, x2^2, x2^3*x3*x2*x3 ]
[ x2*x3*x2*x4, x2*x3, x1, x2^2, x2^3*x3*x2*x3 ]
[ x2*x3*x2*x4, x2, x1*x3, x2^2, x2^3*x3*x2*x3 ]
[ x2*x3*x2*x4, x2*x3, x3, x2^2, x2^3*x3*x2*x3 ]
[ x1*x2, x1, x1*x3, x2^2, x2^3*x3*x2*x3 ]
[ x1*x2*x3*x2*x3*x4, x1*x2, x1, x2^2, x2^3*x3*x2*x3 ]
[ x1*x2*x3*x2*x4, x1*x2, x1*x3, x2^2, x2^3*x3*x2*x3 ]
[ x1*x2*x3*x2*x3*x4, x1*x2, x3, x2^2, x2^3*x3*x2*x3 ]
[ x1*x3*x2*x4, x1, x1*x3, x2^2, x2^3*x3*x2*x3 ]
[ x1*x2*x3*x2*x3*x4, x2*x3, x1, x2^2, x2^3*x3*x2*x3 ]
[ x1*x2*x3*x2*x4, x2, x1*x3, x2^2, x2^3*x3*x2*x3 ]
[ x1*x2*x3*x2*x3*x4, x2*x3, x3, x2^2, x2^3*x3*x2*x3 ]
[ x3*x4*x3, x2, x1, x1^2*x3*x4*x3*x4, x1^2 ]
[ x3*x4*x3, x2, x1*x4*x3*x4, x1^2*x3*x4*x3*x4, x1^2 ]
[ x3*x4*x3, x2, x1^2*x4*x3*x4, x1^2*x3*x4*x3*x4, x1^2 ]
[ x3*x4*x3, x1, x1*x4*x3*x4, x1^2*x3*x4*x3*x4, x1^2 ]
[ x3*x4*x3, x1*x2*x4*x3*x4, x1, x1^2*x3*x4*x3*x4, x1^2 ]
[ x3*x4*x3, x1*x2, x1*x4*x3*x4, x1^2*x3*x4*x3*x4, x1^2 ]
[ x3*x4*x3, x1*x2*x4*x3*x4, x1^2*x4*x3*x4, x1^2*x3*x4*x3*x4, x1^2 ]
[ x2, x1, x1*x4*x3*x4, x1^2*x3*x4*x3*x4, x1^2 ]
[ x1^3*x4*x3, x2, x1, x1^2*x3*x4*x3*x4, x1^2 ]
[ x1^3*x3*x4*x3, x2, x1*x4*x3*x4, x1^2*x3*x4*x3*x4, x1^2 ]
[ x1^3*x4*x3, x2, x1^2*x4*x3*x4, x1^2*x3*x4*x3*x4, x1^2 ]
[ x2*x3*x4*x3, x1, x1*x4*x3*x4, x1^2*x3*x4*x3*x4, x1^2 ]
[ x1^3*x4*x3, x1*x2*x4*x3*x4, x1, x1^2*x3*x4*x3*x4, x1^2 ]
[ x1^3*x3*x4*x3, x1*x2, x1*x4*x3*x4, x1^2*x3*x4*x3*x4, x1^2 ]
[ x1^3*x4*x3, x1*x2*x4*x3*x4, x1^2*x4*x3*x4, x1^2*x3*x4*x3*x4, x1^2 ]
[ x4, x1^2*x3, x1, x2^2, x1^2 ]
[ x4, x1^2*x3, x2, x2^2, x1^2 ]
[ x4, x1^2*x3, x1*x2, x2^2, x1^2 ]
[ x4, x1, x2, x2^2, x1^2 ]
[ x4, x1^2*x2^3*x3, x1, x2^2, x1^2 ]
[ x4, x1*x3, x2, x2^2, x1^2 ]
[ x4, x1^2*x2^3*x3, x1*x2, x2^2, x1^2 ]
[ x1^2*x3, x1, x2, x2^2, x1^2 ]
[ x2*x4, x1^2*x3, x1, x2^2, x1^2 ]
[ x1*x4, x1^2*x3, x2, x2^2, x1^2 ]
[ x2*x4, x1^2*x3, x1*x2, x2^2, x1^2 ]
[ x1^2*x3*x4, x1, x2, x2^2, x1^2 ]
[ x2*x4, x1^2*x2^3*x3, x1, x2^2, x1^2 ]
[ x1*x4, x1*x3, x2, x2^2, x1^2 ]
[ x2*x4, x1^2*x2^3*x3, x1*x2, x2^2, x1^2 ]
[ x1*x3^2*x4, x1, x2, x2^2*x3^2, x2^2 ]
[ x1*x3^2*x4, x1, x2*x3, x2^2*x3^2, x2^2 ]
[ x1*x3^2*x4, x1, x2^2*x3, x2^2*x3^2, x2^2 ]
[ x1*x3^2*x4, x2, x2*x3, x2^2*x3^2, x2^2 ]
[ x1*x3^2*x4, x1*x2*x3, x2, x2^2*x3^2, x2^2 ]
[ x1*x3^2*x4, x1*x2, x2*x3, x2^2*x3^2, x2^2 ]
[ x1*x3^2*x4, x1*x2*x3, x2^2*x3, x2^2*x3^2, x2^2 ]
[ x1, x2, x2*x3, x2^2*x3^2, x2^2 ]
[ x1*x2^3*x3*x4, x1, x2, x2^2*x3^2, x2^2 ]
[ x1*x2^3*x3^2*x4, x1, x2*x3, x2^2*x3^2, x2^2 ]
[ x1*x2^3*x3*x4, x1, x2^2*x3, x2^2*x3^2, x2^2 ]
[ x3^2*x4, x2, x2*x3, x2^2*x3^2, x2^2 ]
[ x1*x2^3*x3*x4, x1*x2*x3, x2, x2^2*x3^2, x2^2 ]
[ x1*x2^3*x3^2*x4, x1*x2, x2*x3, x2^2*x3^2, x2^2 ]
[ x1*x2^3*x3*x4, x1*x2*x3, x2^2*x3, x2^2*x3^2, x2^2 ]
[ x3^2*x4, x4*x1*x4, x2, x3^2, x1*x4*x1*x4 ]
[ x3^2*x4, x4*x1*x4, x1*x3, x3^2, x1*x4*x1*x4 ]
[ x3^2*x4, x4*x1*x4, x1*x2*x3, x3^2, x1*x4*x1*x4 ]
[ x3^2*x4, x2, x1*x3, x3^2, x1*x4*x1*x4 ]
[ x3^2*x4, x1*x3*x4*x1*x4, x2, x3^2, x1*x4*x1*x4 ]
[ x3^2*x4, x2*x4*x1*x4, x1*x3, x3^2, x1*x4*x1*x4 ]
[ x3^2*x4, x1*x3*x4*x1*x4, x1*x2*x3, x3^2, x1*x4*x1*x4 ]
[ x4*x1*x4, x2, x1*x3, x3^2, x1*x4*x1*x4 ]
[ x1*x3*x4, x4*x1*x4, x2, x3^2, x1*x4*x1*x4 ]
[ x2*x3^2*x4, x4*x1*x4, x1*x3, x3^2, x1*x4*x1*x4 ]
[ x1*x3*x4, x4*x1*x4, x1*x2*x3, x3^2, x1*x4*x1*x4 ]
[ x1*x3^2*x4, x2, x1*x3, x3^2, x1*x4*x1*x4 ]
[ x1*x3*x4, x1*x3*x4*x1*x4, x2, x3^2, x1*x4*x1*x4 ]
[ x2*x3^2*x4, x2*x4*x1*x4, x1*x3, x3^2, x1*x4*x1*x4 ]
[ x1*x3*x4, x1*x3*x4*x1*x4, x1*x2*x3, x3^2, x1*x4*x1*x4 ]
[ x3^2*x4, x4*x1*x4, x2, x3^2, x1*x4*x1*x4 ]
[ x3^2*x4, x4*x1*x4, x1*x2*x3, x3^2, x1*x4*x1*x4 ]
[ x3^2*x4, x4*x1*x4, x1*x3, x3^2, x1*x4*x1*x4 ]
[ x3^2*x4, x2, x1*x2*x3, x3^2, x1*x4*x1*x4 ]
[ x3^2*x4, x1*x2*x3*x4*x1*x4, x2, x3^2, x1*x4*x1*x4 ]
[ x3^2*x4, x2*x4*x1*x4, x1*x2*x3, x3^2, x1*x4*x1*x4 ]
[ x3^2*x4, x1*x2*x3*x4*x1*x4, x1*x3, x3^2, x1*x4*x1*x4 ]
[ x4*x1*x4, x2, x1*x2*x3, x3^2, x1*x4*x1*x4 ]
[ x1*x2*x3*x4, x4*x1*x4, x2, x3^2, x1*x4*x1*x4 ]
[ x2*x3^2*x4, x4*x1*x4, x1*x2*x3, x3^2, x1*x4*x1*x4 ]
[ x1*x2*x3*x4, x4*x1*x4, x1*x3, x3^2, x1*x4*x1*x4 ]
[ x1*x3^2*x4, x2, x1*x2*x3, x3^2, x1*x4*x1*x4 ]
[ x1*x2*x3*x4, x1*x2*x3*x4*x1*x4, x2, x3^2, x1*x4*x1*x4 ]
[ x2*x3^2*x4, x2*x4*x1*x4, x1*x2*x3, x3^2, x1*x4*x1*x4 ]
[ x1*x2*x3*x4, x1*x2*x3*x4*x1*x4, x1*x3, x3^2, x1*x4*x1*x4 ]
[ x3^2*x4, x4*x1*x4, x2, x3^2, x1*x4*x1*x4 ]
[ x3^2*x4, x4*x1*x4, x1*x3, x3^2, x1*x4*x1*x4 ]
[ x3^2*x4, x4*x1*x4, x1*x2*x3, x3^2, x1*x4*x1*x4 ]
[ x3^2*x4, x2, x1*x3, x3^2, x1*x4*x1*x4 ]
[ x3^2*x4, x1*x3*x4*x1*x4, x2, x3^2, x1*x4*x1*x4 ]
[ x3^2*x4, x2*x4*x1*x4, x1*x3, x3^2, x1*x4*x1*x4 ]
[ x3^2*x4, x1*x3*x4*x1*x4, x1*x2*x3, x3^2, x1*x4*x1*x4 ]
[ x4*x1*x4, x2, x1*x3, x3^2, x1*x4*x1*x4 ]
[ x1*x3*x4, x4*x1*x4, x2, x3^2, x1*x4*x1*x4 ]
[ x2*x3^2*x4, x4*x1*x4, x1*x3, x3^2, x1*x4*x1*x4 ]
[ x1*x3*x4, x4*x1*x4, x1*x2*x3, x3^2, x1*x4*x1*x4 ]
[ x1*x3^2*x4, x2, x1*x3, x3^2, x1*x4*x1*x4 ]
[ x1*x3*x4, x1*x3*x4*x1*x4, x2, x3^2, x1*x4*x1*x4 ]
[ x2*x3^2*x4, x2*x4*x1*x4, x1*x3, x3^2, x1*x4*x1*x4 ]
[ x1*x3*x4, x1*x3*x4*x1*x4, x1*x2*x3, x3^2, x1*x4*x1*x4 ]
[ x4, x3*x1, x1, x1*x3*x1*x3, x1^2 ]
[ x4, x3*x1, x2, x1*x3*x1*x3, x1^2 ]
[ x4, x3*x1, x1*x2, x1*x3*x1*x3, x1^2 ]
[ x4, x1, x2, x1*x3*x1*x3, x1^2 ]
[ x4, x2*x3*x1, x1, x1*x3*x1*x3, x1^2 ]
[ x4, x1^2*x3, x2, x1*x3*x1*x3, x1^2 ]
[ x4, x2*x3*x1, x1*x2, x1*x3*x1*x3, x1^2 ]
[ x3*x1, x1, x2, x1*x3*x1*x3, x1^2 ]
[ x2*x4, x3*x1, x1, x1*x3*x1*x3, x1^2 ]
[ x1*x4, x3*x1, x2, x1*x3*x1*x3, x1^2 ]
[ x2*x4, x3*x1, x1*x2, x1*x3*x1*x3, x1^2 ]
[ x3*x1*x4, x1, x2, x1*x3*x1*x3, x1^2 ]
[ x2*x4, x2*x3*x1, x1, x1*x3*x1*x3, x1^2 ]
[ x1*x4, x1^2*x3, x2, x1*x3*x1*x3, x1^2 ]
[ x2*x4, x2*x3*x1, x1*x2, x1*x3*x1*x3, x1^2 ]
[ x1^2*x2*x3^2*x4, x1, x2, x3^2, x1^2 ]
[ x1^2*x2*x3^2*x4, x1, x3, x3^2, x1^2 ]
[ x1^2*x2*x3^2*x4, x1, x2*x3, x3^2, x1^2 ]
[ x1^2*x2*x3^2*x4, x2, x3, x3^2, x1^2 ]
[ x1^2*x2*x3^2*x4, x1*x3, x2, x3^2, x1^2 ]
[ x1^2*x2*x3^2*x4, x1*x2, x3, x3^2, x1^2 ]
[ x1^2*x2*x3^2*x4, x1*x3, x2*x3, x3^2, x1^2 ]
[ x1, x2, x3, x3^2, x1^2 ]
[ x1^2*x2*x3*x4, x1, x2, x3^2, x1^2 ]
[ x1^2*x3^2*x4, x1, x3, x3^2, x1^2 ]
[ x1^2*x2*x3*x4, x1, x2*x3, x3^2, x1^2 ]
[ x1*x2*x3^2*x4, x2, x3, x3^2, x1^2 ]
[ x1^2*x2*x3*x4, x1*x3, x2, x3^2, x1^2 ]
[ x1^2*x3^2*x4, x1*x2, x3, x3^2, x1^2 ]
[ x1^2*x2*x3*x4, x1*x3, x2*x3, x3^2, x1^2 ]
[ x1*x4, x4*x1*x4, x2, x1*x4*x1*x4, x1^2 ]
[ x1*x4, x4*x1*x4, x3, x1*x4*x1*x4, x1^2 ]
[ x1*x4, x4*x1*x4, x2*x3, x1*x4*x1*x4, x1^2 ]
[ x1*x4, x2, x3, x1*x4*x1*x4, x1^2 ]
[ x1*x4, x3*x4*x1*x4, x2, x1*x4*x1*x4, x1^2 ]
[ x1*x4, x1^2*x2*x4*x1*x4, x3, x1*x4*x1*x4, x1^2 ]
[ x1*x4, x3*x4*x1*x4, x2*x3, x1*x4*x1*x4, x1^2 ]
[ x4*x1*x4, x2, x3, x1*x4*x1*x4, x1^2 ]
[ x1*x3*x4, x4*x1*x4, x2, x1*x4*x1*x4, x1^2 ]
[ x1^3*x2*x4, x4*x1*x4, x3, x1*x4*x1*x4, x1^2 ]
[ x1*x3*x4, x4*x1*x4, x2*x3, x1*x4*x1*x4, x1^2 ]
[ x1^2*x4, x2, x3, x1*x4*x1*x4, x1^2 ]
[ x1*x3*x4, x3*x4*x1*x4, x2, x1*x4*x1*x4, x1^2 ]
[ x1^3*x2*x4, x1^2*x2*x4*x1*x4, x3, x1*x4*x1*x4, x1^2 ]
[ x1*x3*x4, x3*x4*x1*x4, x2*x3, x1*x4*x1*x4, x1^2 ]
[ x1*x2*x4, x1, x1*x2, x1*x4*x1*x4, x2^2 ]
[ x1*x2*x4, x1, x3, x1*x4*x1*x4, x2^2 ]
[ x1*x2*x4, x1, x1*x2*x3, x1*x4*x1*x4, x2^2 ]
[ x1*x2*x4, x1*x2, x3, x1*x4*x1*x4, x2^2 ]
[ x1*x2*x4, x1*x3, x1*x2, x1*x4*x1*x4, x2^2 ]
[ x1*x2*x4, x2, x3, x1*x4*x1*x4, x2^2 ]
[ x1*x2*x4, x1*x3, x1*x2*x3, x1*x4*x1*x4, x2^2 ]
[ x1, x1*x2, x3, x1*x4*x1*x4, x2^2 ]
[ x1*x2*x3*x4, x1, x1*x2, x1*x4*x1*x4, x2^2 ]
[ x4, x1, x3, x1*x4*x1*x4, x2^2 ]
[ x1*x2*x3*x4, x1, x1*x2*x3, x1*x4*x1*x4, x2^2 ]
[ x1*x2*x4*x1, x1*x2, x3, x1*x4*x1*x4, x2^2 ]
[ x1*x2*x3*x4, x1*x3, x1*x2, x1*x4*x1*x4, x2^2 ]
[ x4, x2, x3, x1*x4*x1*x4, x2^2 ]
[ x1*x2*x3*x4, x1*x3, x1*x2*x3, x1*x4*x1*x4, x2^2 ]
[ x3^2*x4, x2, x1, x2*x4*x2*x4, x3^2 ]
[ x3^2*x4, x2, x3, x2*x4*x2*x4, x3^2 ]
[ x3^2*x4, x2, x1*x3, x2*x4*x2*x4, x3^2 ]
[ x3^2*x4, x1, x3, x2*x4*x2*x4, x3^2 ]
[ x3^2*x4, x2*x3, x1, x2*x4*x2*x4, x3^2 ]
[ x3^2*x4, x1*x2, x3, x2*x4*x2*x4, x3^2 ]
[ x3^2*x4, x2*x3, x1*x3, x2*x4*x2*x4, x3^2 ]
[ x2, x1, x3, x2*x4*x2*x4, x3^2 ]
[ x1*x2*x3*x1*x4*x2, x2, x1, x2*x4*x2*x4, x3^2 ]
[ x1*x3^2*x4, x2, x3, x2*x4*x2*x4, x3^2 ]
[ x1*x2*x3*x1*x4*x2, x2, x1*x3, x2*x4*x2*x4, x3^2 ]
[ x3^2*x4*x2, x1, x3, x2*x4*x2*x4, x3^2 ]
[ x1*x2*x3*x1*x4*x2, x2*x3, x1, x2*x4*x2*x4, x3^2 ]
[ x1*x3^2*x4, x1*x2, x3, x2*x4*x2*x4, x3^2 ]
[ x1*x2*x3*x1*x4*x2, x2*x3, x1*x3, x2*x4*x2*x4, x3^2 ]
[ x4, x2, x3*x1*x3, x4^2, x1*x3*x1*x3 ]
[ x4, x2, x3, x4^2, x1*x3*x1*x3 ]
[ x4, x2, x3*x1, x4^2, x1*x3*x1*x3 ]
[ x4, x3*x1*x3, x3, x4^2, x1*x3*x1*x3 ]
[ x4, x2*x3, x3*x1*x3, x4^2, x1*x3*x1*x3 ]
[ x4, x2*x3*x1*x3, x3, x4^2, x1*x3*x1*x3 ]
[ x4, x2*x3, x3*x1, x4^2, x1*x3*x1*x3 ]
[ x2, x3*x1*x3, x3, x4^2, x1*x3*x1*x3 ]
[ x3*x4, x2, x3*x1*x3, x4^2, x1*x3*x1*x3 ]
[ x1*x4, x2, x3, x4^2, x1*x3*x1*x3 ]
[ x3*x4, x2, x3*x1, x4^2, x1*x3*x1*x3 ]
[ x4*x2, x3*x1*x3, x3, x4^2, x1*x3*x1*x3 ]
[ x3*x4, x2*x3, x3*x1*x3, x4^2, x1*x3*x1*x3 ]
[ x1*x4, x2*x3*x1*x3, x3, x4^2, x1*x3*x1*x3 ]
[ x3*x4, x2*x3, x3*x1, x4^2, x1*x3*x1*x3 ]
[ x4, x2, x3*x1*x3, x4^2, x1*x3*x1*x3 ]
[ x4, x2, x3, x4^2, x1*x3*x1*x3 ]
[ x4, x2, x3*x1, x4^2, x1*x3*x1*x3 ]
[ x4, x3*x1*x3, x3, x4^2, x1*x3*x1*x3 ]
[ x4, x2*x3, x3*x1*x3, x4^2, x1*x3*x1*x3 ]
[ x4, x2*x3*x1*x3, x3, x4^2, x1*x3*x1*x3 ]
[ x4, x2*x3, x3*x1, x4^2, x1*x3*x1*x3 ]
[ x2, x3*x1*x3, x3, x4^2, x1*x3*x1*x3 ]
[ x3*x4, x2, x3*x1*x3, x4^2, x1*x3*x1*x3 ]
[ x3*x1*x3*x4, x2, x3, x4^2, x1*x3*x1*x3 ]
[ x3*x4, x2, x3*x1, x4^2, x1*x3*x1*x3 ]
[ x4*x2, x3*x1*x3, x3, x4^2, x1*x3*x1*x3 ]
[ x3*x4, x2*x3, x3*x1*x3, x4^2, x1*x3*x1*x3 ]
[ x3*x1*x3*x4, x2*x3*x1*x3, x3, x4^2, x1*x3*x1*x3 ]
[ x3*x4, x2*x3, x3*x1, x4^2, x1*x3*x1*x3 ]
[ x4, x2, x1, x1*x4*x1*x4, x2^2 ]
[ x4, x2, x3, x1*x4*x1*x4, x2^2 ]
[ x4, x2, x1*x3, x1*x4*x1*x4, x2^2 ]
[ x4, x1, x3, x1*x4*x1*x4, x2^2 ]
[ x4, x2*x3, x1, x1*x4*x1*x4, x2^2 ]
[ x4, x1*x2, x3, x1*x4*x1*x4, x2^2 ]
[ x4, x2*x3, x1*x3, x1*x4*x1*x4, x2^2 ]
[ x2, x1, x3, x1*x4*x1*x4, x2^2 ]
[ x3*x4, x2, x1, x1*x4*x1*x4, x2^2 ]
[ x4*x1, x2, x3, x1*x4*x1*x4, x2^2 ]
[ x3*x4, x2, x1*x3, x1*x4*x1*x4, x2^2 ]
[ x2*x4, x1, x3, x1*x4*x1*x4, x2^2 ]
[ x3*x4, x2*x3, x1, x1*x4*x1*x4, x2^2 ]
[ x4*x1, x1*x2, x3, x1*x4*x1*x4, x2^2 ]
[ x3*x4, x2*x3, x1*x3, x1*x4*x1*x4, x2^2 ]
[ x4, x2*x1*x2, x2, x4^2, x1*x2*x1*x2 ]
[ x4, x2*x1*x2, x3, x4^2, x1*x2*x1*x2 ]
[ x4, x2*x1*x2, x2*x3, x4^2, x1*x2*x1*x2 ]
[ x4, x2, x3, x4^2, x1*x2*x1*x2 ]
[ x4, x2*x1*x2*x3, x2, x4^2, x1*x2*x1*x2 ]
[ x4, x2*x1, x3, x4^2, x1*x2*x1*x2 ]
[ x4, x2*x1*x2*x3, x2*x3, x4^2, x1*x2*x1*x2 ]
[ x2*x1*x2, x2, x3, x4^2, x1*x2*x1*x2 ]
[ x4*x3, x2*x1*x2, x2, x4^2, x1*x2*x1*x2 ]
[ x2*x4, x2*x1*x2, x3, x4^2, x1*x2*x1*x2 ]
[ x4*x3, x2*x1*x2, x2*x3, x4^2, x1*x2*x1*x2 ]
[ x2*x1*x2*x4, x2, x3, x4^2, x1*x2*x1*x2 ]
[ x4*x3, x2*x1*x2*x3, x2, x4^2, x1*x2*x1*x2 ]
[ x2*x4, x2*x1, x3, x4^2, x1*x2*x1*x2 ]
[ x4*x3, x2*x1*x2*x3, x2*x3, x4^2, x1*x2*x1*x2 ]
[ x4, x2, x1, x4^2, x2^2 ]
[ x4, x2, x2^2*x3, x4^2, x2^2 ]
[ x4, x2, x1*x2^2*x3, x4^2, x2^2 ]
[ x4, x1, x2^2*x3, x4^2, x2^2 ]
[ x4, x2^3*x3, x1, x4^2, x2^2 ]
[ x4, x1*x2, x2^2*x3, x4^2, x2^2 ]
[ x4, x2^3*x3, x1*x2^2*x3, x4^2, x2^2 ]
[ x2, x1, x2^2*x3, x4^2, x2^2 ]
[ x2^2*x3*x4, x2, x1, x4^2, x2^2 ]
[ x4*x1, x2, x2^2*x3, x4^2, x2^2 ]
[ x2^2*x3*x4, x2, x1*x2^2*x3, x4^2, x2^2 ]
[ x2*x4, x1, x2^2*x3, x4^2, x2^2 ]
[ x2^2*x3*x4, x2^3*x3, x1, x4^2, x2^2 ]
[ x4*x1, x1*x2, x2^2*x3, x4^2, x2^2 ]
[ x2^2*x3*x4, x2^3*x3, x1*x2^2*x3, x4^2, x2^2 ]
[ x2*x1*x2*x3*x4*x3, x1, x2, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x3, x1, x1*x2*x1*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x3, x1, x1*x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x3, x2, x1*x2*x1*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x3, x2*x1*x4*x3*x4, x2, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2
]
[ x2*x1*x2*x3*x4*x3, x1*x2, x1*x2*x1*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x3, x2*x1*x4*x3*x4, x1*x2*x1*x2*x4*x3*x4,
x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x1, x2, x1*x2*x1*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x2*x1*x4*x3, x1, x2, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x1*x2*x3*x4*x3, x1, x1*x2*x1*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2
]
[ x2*x1*x4*x3, x1, x1*x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2
]
[ x1*x2*x1*x2*x3*x4*x3, x2, x1*x2*x1*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x2*x1*x4*x3, x2*x1*x4*x3*x4, x2, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x1*x2*x3*x4*x3, x1*x2, x1*x2*x1*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x2*x1*x4*x3, x2*x1*x4*x3*x4, x1*x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x3, x1, x2, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x3, x1, x1*x2*x1*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x3, x1, x1*x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x3, x2, x1*x2*x1*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x3, x2*x1*x4*x3*x4, x2, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2
]
[ x2*x1*x2*x3*x4*x3, x1*x2, x1*x2*x1*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x3, x2*x1*x4*x3*x4, x1*x2*x1*x2*x4*x3*x4,
x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x1, x2, x1*x2*x1*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x2*x1*x4*x3, x1, x2, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x1*x2*x3*x4*x3, x1, x1*x2*x1*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2
]
[ x2*x1*x4*x3, x1, x1*x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2
]
[ x1*x2*x1*x2*x3*x4*x3, x2, x1*x2*x1*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x2*x1*x4*x3, x2*x1*x4*x3*x4, x2, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x1*x2*x3*x4*x3, x1*x2, x1*x2*x1*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x2*x1*x4*x3, x2*x1*x4*x3*x4, x1*x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x4, x3*x2*x3, x1, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x4, x3*x2*x3, x1*x2*x3*x2, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x4, x3*x2*x3, x2*x3*x2, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x4, x1, x1*x2*x3*x2, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x4, x1*x2*x3, x1, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x4, x1*x3*x2*x3, x1*x2*x3*x2, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x4, x1*x2*x3, x2*x3*x2, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x3*x2*x3, x1, x1*x2*x3*x2, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x1*x2*x3*x2*x4, x3*x2*x3, x1, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x4*x1, x3*x2*x3, x1*x2*x3*x2, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x1*x2*x3*x2*x4, x3*x2*x3, x2*x3*x2, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x3*x2*x3*x4, x1, x1*x2*x3*x2, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x1*x2*x3*x2*x4, x1*x2*x3, x1, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x4*x1, x1*x3*x2*x3, x1*x2*x3*x2, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x1*x2*x3*x2*x4, x1*x2*x3, x2*x3*x2, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x2*x1*x4*x2, x1, x2, x1*x2*x1*x4*x2*x4, x1*x2*x1*x2 ]
[ x2*x1*x4*x2, x1, x2*x3, x1*x2*x1*x4*x2*x4, x1*x2*x1*x2 ]
[ x2*x1*x4*x2, x1, x3, x1*x2*x1*x4*x2*x4, x1*x2*x1*x2 ]
[ x2*x1*x4*x2, x2, x2*x3, x1*x2*x1*x4*x2*x4, x1*x2*x1*x2 ]
[ x2*x1*x4*x2, x1*x2*x3, x2, x1*x2*x1*x4*x2*x4, x1*x2*x1*x2 ]
[ x2*x1*x4*x2, x1*x2, x2*x3, x1*x2*x1*x4*x2*x4, x1*x2*x1*x2 ]
[ x2*x1*x4*x2, x1*x2*x3, x3, x1*x2*x1*x4*x2*x4, x1*x2*x1*x2 ]
[ x1, x2, x2*x3, x1*x2*x1*x4*x2*x4, x1*x2*x1*x2 ]
[ x1*x2*x3*x4, x1, x2, x1*x2*x1*x4*x2*x4, x1*x2*x1*x2 ]
[ x2*x1*x4, x1, x2*x3, x1*x2*x1*x4*x2*x4, x1*x2*x1*x2 ]
[ x1*x2*x3*x4, x1, x3, x1*x2*x1*x4*x2*x4, x1*x2*x1*x2 ]
[ x1*x2*x1*x4*x2, x2, x2*x3, x1*x2*x1*x4*x2*x4, x1*x2*x1*x2 ]
[ x1*x2*x3*x4, x1*x2*x3, x2, x1*x2*x1*x4*x2*x4, x1*x2*x1*x2 ]
[ x2*x1*x4, x1*x2, x2*x3, x1*x2*x1*x4*x2*x4, x1*x2*x1*x2 ]
[ x1*x2*x3*x4, x1*x2*x3, x3, x1*x2*x1*x4*x2*x4, x1*x2*x1*x2 ]
[ x1*x2*x1*x3*x4*x3, x2*x1*x2, x2, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x1*x2*x1*x3*x4*x3, x2*x1*x2, x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x1*x2*x1*x3*x4*x3, x2*x1*x2, x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x1*x2*x1*x3*x4*x3, x2, x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x1*x2*x1*x3*x4*x3, x4*x3*x4, x2, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x1*x2*x1*x3*x4*x3, x2*x1, x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x1*x2*x1*x3*x4*x3, x4*x3*x4, x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x2*x1*x2, x2, x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x1*x2*x4*x3, x2*x1*x2, x2, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x3*x4*x3, x2*x1*x2, x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x1*x2*x4*x3, x2*x1*x2, x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2
]
[ x1*x2*x3*x4*x3, x2, x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2
]
[ x1*x2*x4*x3, x4*x3*x4, x2, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x3*x4*x3, x2*x1, x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x1*x2*x4*x3, x4*x3*x4, x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2
]
[ x1*x2*x1*x4, x1, x2, x1*x2*x1*x2, x1^3*x2*x1*x2 ]
[ x1*x2*x1*x4, x1, x2*x1*x2*x3, x1*x2*x1*x2, x1^3*x2*x1*x2 ]
[ x1*x2*x1*x4, x1, x1*x2*x3, x1*x2*x1*x2, x1^3*x2*x1*x2 ]
[ x1*x2*x1*x4, x2, x2*x1*x2*x3, x1*x2*x1*x2, x1^3*x2*x1*x2 ]
[ x1*x2*x1*x4, x1*x2*x1*x2*x3, x2, x1*x2*x1*x2, x1^3*x2*x1*x2 ]
[ x1*x2*x1*x4, x1*x2, x2*x1*x2*x3, x1*x2*x1*x2, x1^3*x2*x1*x2 ]
[ x1*x2*x1*x4, x1*x2*x1*x2*x3, x1*x2*x3, x1*x2*x1*x2, x1^3*x2*x1*x2 ]
[ x1, x2, x2*x1*x2*x3, x1*x2*x1*x2, x1^3*x2*x1*x2 ]
[ x1*x2*x3*x4, x1, x2, x1*x2*x1*x2, x1^3*x2*x1*x2 ]
[ x1*x2*x1*x2*x4, x1, x2*x1*x2*x3, x1*x2*x1*x2, x1^3*x2*x1*x2 ]
[ x1*x2*x3*x4, x1, x1*x2*x3, x1*x2*x1*x2, x1^3*x2*x1*x2 ]
[ x1*x2*x4, x2, x2*x1*x2*x3, x1*x2*x1*x2, x1^3*x2*x1*x2 ]
[ x1*x2*x3*x4, x1*x2*x1*x2*x3, x2, x1*x2*x1*x2, x1^3*x2*x1*x2 ]
[ x1*x2*x1*x2*x4, x1*x2, x2*x1*x2*x3, x1*x2*x1*x2, x1^3*x2*x1*x2 ]
[ x1*x2*x3*x4, x1*x2*x1*x2*x3, x1*x2*x3, x1*x2*x1*x2, x1^3*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x3, x1, x2, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x3, x1, x1*x2*x1*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x3, x1, x1*x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x3, x2, x1*x2*x1*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x3, x2*x1*x4*x3*x4, x2, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2
]
[ x2*x1*x2*x3*x4*x3, x1*x2, x1*x2*x1*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x4*x3, x2*x1*x4*x3*x4, x1*x2*x1*x2*x4*x3*x4,
x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x1, x2, x1*x2*x1*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x2*x1*x4*x3, x1, x2, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x1*x2*x3*x4*x3, x1, x1*x2*x1*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2
]
[ x2*x1*x4*x3, x1, x1*x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2
]
[ x1*x2*x1*x2*x3*x4*x3, x2, x1*x2*x1*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x2*x1*x4*x3, x2*x1*x4*x3*x4, x2, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x1*x2*x3*x4*x3, x1*x2, x1*x2*x1*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x2*x1*x4*x3, x2*x1*x4*x3*x4, x1*x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x1*x2*x1*x3*x4*x3, x2*x1*x2, x2, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x1*x2*x1*x3*x4*x3, x2*x1*x2, x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x1*x2*x1*x3*x4*x3, x2*x1*x2, x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x1*x2*x1*x3*x4*x3, x2, x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x1*x2*x1*x3*x4*x3, x4*x3*x4, x2, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x1*x2*x1*x3*x4*x3, x2*x1, x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x1*x2*x1*x3*x4*x3, x4*x3*x4, x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x2*x1*x2, x2, x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x1*x2*x4*x3, x2*x1*x2, x2, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x3*x4*x3, x2*x1*x2, x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x1*x2*x4*x3, x2*x1*x2, x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2
]
[ x1*x2*x3*x4*x3, x2, x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2
]
[ x1*x2*x4*x3, x4*x3*x4, x2, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x3*x4*x3, x2*x1, x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x1*x2*x4*x3, x4*x3*x4, x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2
]
[ x2*x4, x1, x2, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x2*x4, x1, x1*x3, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x2*x4, x1, x2*x1*x3, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x2*x4, x2, x1*x3, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x2*x4, x3, x2, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x2*x4, x1*x2, x1*x3, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x2*x4, x3, x2*x1*x3, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x1, x2, x1*x3, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x1*x2*x4*x3, x1, x2, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x4, x1, x1*x3, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x1*x2*x4*x3, x1, x2*x1*x3, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x1*x2*x4, x2, x1*x3, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x1*x2*x4*x3, x3, x2, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x4, x1*x2, x1*x3, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x1*x2*x4*x3, x3, x2*x1*x3, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x1*x2*x1*x3*x4*x3, x2*x1*x2, x2, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x1*x2*x1*x3*x4*x3, x2*x1*x2, x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x1*x2*x1*x3*x4*x3, x2*x1*x2, x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x1*x2*x1*x3*x4*x3, x2, x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x1*x2*x1*x3*x4*x3, x4*x3*x4, x2, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x1*x2*x1*x3*x4*x3, x2*x1, x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x1*x2*x1*x3*x4*x3, x4*x3*x4, x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x2*x1*x2, x2, x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x1*x2*x4*x3, x2*x1*x2, x2, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x3*x4*x3, x2*x1*x2, x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x1*x2*x4*x3, x2*x1*x2, x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2
]
[ x1*x2*x3*x4*x3, x2, x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2
]
[ x1*x2*x4*x3, x4*x3*x4, x2, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x3*x4*x3, x2*x1, x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x1*x2*x4*x3, x4*x3*x4, x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2
]
[ x1*x2*x3*x2*x4*x1, x2, x1, x1*x4*x1*x4, x3^2 ]
[ x1*x2*x3*x2*x4*x1, x2, x3, x1*x4*x1*x4, x3^2 ]
[ x1*x2*x3*x2*x4*x1, x2, x1*x3, x1*x4*x1*x4, x3^2 ]
[ x1*x2*x3*x2*x4*x1, x1, x3, x1*x4*x1*x4, x3^2 ]
[ x1*x2*x3*x2*x4*x1, x2*x3, x1, x1*x4*x1*x4, x3^2 ]
[ x1*x2*x3*x2*x4*x1, x1*x2, x3, x1*x4*x1*x4, x3^2 ]
[ x1*x2*x3*x2*x4*x1, x2*x3, x1*x3, x1*x4*x1*x4, x3^2 ]
[ x2, x1, x3, x1*x4*x1*x4, x3^2 ]
[ x3^2*x4, x2, x1, x1*x4*x1*x4, x3^2 ]
[ x1*x2*x3*x2*x4, x2, x3, x1*x4*x1*x4, x3^2 ]
[ x3^2*x4, x2, x1*x3, x1*x4*x1*x4, x3^2 ]
[ x1*x3*x2*x4*x1, x1, x3, x1*x4*x1*x4, x3^2 ]
[ x3^2*x4, x2*x3, x1, x1*x4*x1*x4, x3^2 ]
[ x1*x2*x3*x2*x4, x1*x2, x3, x1*x4*x1*x4, x3^2 ]
[ x3^2*x4, x2*x3, x1*x3, x1*x4*x1*x4, x3^2 ]
[ x1*x4, x2, x3*x1*x3, x1*x3*x1*x3*x4^2, x1*x3*x1*x3 ]
[ x1*x4, x2, x3, x1*x3*x1*x3*x4^2, x1*x3*x1*x3 ]
[ x1*x4, x2, x3*x1, x1*x3*x1*x3*x4^2, x1*x3*x1*x3 ]
[ x1*x4, x3*x1*x3, x3, x1*x3*x1*x3*x4^2, x1*x3*x1*x3 ]
[ x1*x4, x2*x3, x3*x1*x3, x1*x3*x1*x3*x4^2, x1*x3*x1*x3 ]
[ x1*x4, x2*x3*x1*x3, x3, x1*x3*x1*x3*x4^2, x1*x3*x1*x3 ]
[ x1*x4, x2*x3, x3*x1, x1*x3*x1*x3*x4^2, x1*x3*x1*x3 ]
[ x2, x3*x1*x3, x3, x1*x3*x1*x3*x4^2, x1*x3*x1*x3 ]
[ x3*x1*x4, x2, x3*x1*x3, x1*x3*x1*x3*x4^2, x1*x3*x1*x3 ]
[ x4, x2, x3, x1*x3*x1*x3*x4^2, x1*x3*x1*x3 ]
[ x3*x1*x4, x2, x3*x1, x1*x3*x1*x3*x4^2, x1*x3*x1*x3 ]
[ x1*x4*x2, x3*x1*x3, x3, x1*x3*x1*x3*x4^2, x1*x3*x1*x3 ]
[ x3*x1*x4, x2*x3, x3*x1*x3, x1*x3*x1*x3*x4^2, x1*x3*x1*x3 ]
[ x4, x2*x3*x1*x3, x3, x1*x3*x1*x3*x4^2, x1*x3*x1*x3 ]
[ x3*x1*x4, x2*x3, x3*x1, x1*x3*x1*x3*x4^2, x1*x3*x1*x3 ]
[ x2^3*x4, x2, x1, x1*x2^2*x4*x1*x4, x2^2 ]
[ x2^3*x4, x2, x3, x1*x2^2*x4*x1*x4, x2^2 ]
[ x2^3*x4, x2, x1*x3, x1*x2^2*x4*x1*x4, x2^2 ]
[ x2^3*x4, x1, x3, x1*x2^2*x4*x1*x4, x2^2 ]
[ x2^3*x4, x2*x3, x1, x1*x2^2*x4*x1*x4, x2^2 ]
[ x2^3*x4, x1*x2, x3, x1*x2^2*x4*x1*x4, x2^2 ]
[ x2^3*x4, x2*x3, x1*x3, x1*x2^2*x4*x1*x4, x2^2 ]
[ x2, x1, x3, x1*x2^2*x4*x1*x4, x2^2 ]
[ x2*x3*x4, x2, x1, x1*x2^2*x4*x1*x4, x2^2 ]
[ x2^3*x4*x1, x2, x3, x1*x2^2*x4*x1*x4, x2^2 ]
[ x2*x3*x4, x2, x1*x3, x1*x2^2*x4*x1*x4, x2^2 ]
[ x4, x1, x3, x1*x2^2*x4*x1*x4, x2^2 ]
[ x2*x3*x4, x2*x3, x1, x1*x2^2*x4*x1*x4, x2^2 ]
[ x2^3*x4*x1, x1*x2, x3, x1*x2^2*x4*x1*x4, x2^2 ]
[ x2*x3*x4, x2*x3, x1*x3, x1*x2^2*x4*x1*x4, x2^2 ]
[ x1*x4, x1^3*x4^2, x2, x1^2*x4^2, x1^2 ]
[ x1*x4, x1^3*x4^2, x2*x3, x1^2*x4^2, x1^2 ]
[ x1*x4, x1^3*x4^2, x3, x1^2*x4^2, x1^2 ]
[ x1*x4, x2, x2*x3, x1^2*x4^2, x1^2 ]
[ x1*x4, x1^3*x2*x3*x4^2, x2, x1^2*x4^2, x1^2 ]
[ x1*x4, x1^3*x2*x4^2, x2*x3, x1^2*x4^2, x1^2 ]
[ x1*x4, x1^3*x2*x3*x4^2, x3, x1^2*x4^2, x1^2 ]
[ x1^3*x4^2, x2, x2*x3, x1^2*x4^2, x1^2 ]
[ x2*x3*x4*x1, x1^3*x4^2, x2, x1^2*x4^2, x1^2 ]
[ x1^3*x2*x4, x1^3*x4^2, x2*x3, x1^2*x4^2, x1^2 ]
[ x2*x3*x4*x1, x1^3*x4^2, x3, x1^2*x4^2, x1^2 ]
[ x1^2*x4, x2, x2*x3, x1^2*x4^2, x1^2 ]
[ x2*x3*x4*x1, x1^3*x2*x3*x4^2, x2, x1^2*x4^2, x1^2 ]
[ x1^3*x2*x4, x1^3*x2*x4^2, x2*x3, x1^2*x4^2, x1^2 ]
[ x2*x3*x4*x1, x1^3*x2*x3*x4^2, x3, x1^2*x4^2, x1^2 ]
[ x2^3*x4, x2, x1, x1*x2^2*x4*x1*x4, x2^2 ]
[ x2^3*x4, x2, x3, x1*x2^2*x4*x1*x4, x2^2 ]
[ x2^3*x4, x2, x1*x3, x1*x2^2*x4*x1*x4, x2^2 ]
[ x2^3*x4, x1, x3, x1*x2^2*x4*x1*x4, x2^2 ]
[ x2^3*x4, x2*x3, x1, x1*x2^2*x4*x1*x4, x2^2 ]
[ x2^3*x4, x1*x2, x3, x1*x2^2*x4*x1*x4, x2^2 ]
[ x2^3*x4, x2*x3, x1*x3, x1*x2^2*x4*x1*x4, x2^2 ]
[ x2, x1, x3, x1*x2^2*x4*x1*x4, x2^2 ]
[ x2*x3*x4, x2, x1, x1*x2^2*x4*x1*x4, x2^2 ]
[ x2^3*x4*x1, x2, x3, x1*x2^2*x4*x1*x4, x2^2 ]
[ x2*x3*x4, x2, x1*x3, x1*x2^2*x4*x1*x4, x2^2 ]
[ x4, x1, x3, x1*x2^2*x4*x1*x4, x2^2 ]
[ x2*x3*x4, x2*x3, x1, x1*x2^2*x4*x1*x4, x2^2 ]
[ x2^3*x4*x1, x1*x2, x3, x1*x2^2*x4*x1*x4, x2^2 ]
[ x2*x3*x4, x2*x3, x1*x3, x1*x2^2*x4*x1*x4, x2^2 ]
[ x2^3*x4, x2, x1, x1*x2^2*x4*x1*x4, x2^2 ]
[ x2^3*x4, x2, x3, x1*x2^2*x4*x1*x4, x2^2 ]
[ x2^3*x4, x2, x1*x3, x1*x2^2*x4*x1*x4, x2^2 ]
[ x2^3*x4, x1, x3, x1*x2^2*x4*x1*x4, x2^2 ]
[ x2^3*x4, x2*x3, x1, x1*x2^2*x4*x1*x4, x2^2 ]
[ x2^3*x4, x1*x2, x3, x1*x2^2*x4*x1*x4, x2^2 ]
[ x2^3*x4, x2*x3, x1*x3, x1*x2^2*x4*x1*x4, x2^2 ]
[ x2, x1, x3, x1*x2^2*x4*x1*x4, x2^2 ]
[ x2*x3*x4, x2, x1, x1*x2^2*x4*x1*x4, x2^2 ]
[ x2^3*x4*x1, x2, x3, x1*x2^2*x4*x1*x4, x2^2 ]
[ x2*x3*x4, x2, x1*x3, x1*x2^2*x4*x1*x4, x2^2 ]
[ x4, x1, x3, x1*x2^2*x4*x1*x4, x2^2 ]
[ x2*x3*x4, x2*x3, x1, x1*x2^2*x4*x1*x4, x2^2 ]
[ x2^3*x4*x1, x1*x2, x3, x1*x2^2*x4*x1*x4, x2^2 ]
[ x2*x3*x4, x2*x3, x1*x3, x1*x2^2*x4*x1*x4, x2^2 ]
[ x1*x2*x1*x3*x4*x3, x2*x1*x2, x2, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x1*x2*x1*x3*x4*x3, x2*x1*x2, x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x1*x2*x1*x3*x4*x3, x2*x1*x2, x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x1*x2*x1*x3*x4*x3, x2, x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x1*x2*x1*x3*x4*x3, x4*x3*x4, x2, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x1*x2*x1*x3*x4*x3, x2*x1, x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x1*x2*x1*x3*x4*x3, x4*x3*x4, x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x2*x1*x2, x2, x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x1*x2*x4*x3, x2*x1*x2, x2, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x3*x4*x3, x2*x1*x2, x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x1*x2*x4*x3, x2*x1*x2, x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2
]
[ x1*x2*x3*x4*x3, x2, x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2
]
[ x1*x2*x4*x3, x4*x3*x4, x2, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x3*x4*x3, x2*x1, x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x1*x2*x4*x3, x4*x3*x4, x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2
]
[ x1*x2*x1*x3*x4*x3, x2*x1*x2, x2, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x1*x2*x1*x3*x4*x3, x2*x1*x2, x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x1*x2*x1*x3*x4*x3, x2*x1*x2, x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x1*x2*x1*x3*x4*x3, x2, x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x1*x2*x1*x3*x4*x3, x4*x3*x4, x2, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x1*x2*x1*x3*x4*x3, x2*x1, x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x1*x2*x1*x3*x4*x3, x4*x3*x4, x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x2*x1*x2, x2, x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x1*x2*x4*x3, x2*x1*x2, x2, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x3*x4*x3, x2*x1*x2, x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x1*x2*x4*x3, x2*x1*x2, x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2
]
[ x1*x2*x3*x4*x3, x2, x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2
]
[ x1*x2*x4*x3, x4*x3*x4, x2, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x3*x4*x3, x2*x1, x2*x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4,
x1*x2*x1*x2 ]
[ x1*x2*x4*x3, x4*x3*x4, x1*x2*x4*x3*x4, x1*x2*x1*x2*x3*x4*x3*x4, x1*x2*x1*x2
]
[ x2^2*x4*x2, x1, x2, x2*x4*x2*x4, x2^2 ]
[ x2^2*x4*x2, x1, x3, x2*x4*x2*x4, x2^2 ]
[ x2^2*x4*x2, x1, x2*x3, x2*x4*x2*x4, x2^2 ]
[ x2^2*x4*x2, x2, x3, x2*x4*x2*x4, x2^2 ]
[ x2^2*x4*x2, x1*x3, x2, x2*x4*x2*x4, x2^2 ]
[ x2^2*x4*x2, x1*x2, x3, x2*x4*x2*x4, x2^2 ]
[ x2^2*x4*x2, x1*x3, x2*x3, x2*x4*x2*x4, x2^2 ]
[ x1, x2, x3, x2*x4*x2*x4, x2^2 ]
[ x2*x3*x4, x1, x2, x2*x4*x2*x4, x2^2 ]
[ x4, x1, x3, x2*x4*x2*x4, x2^2 ]
[ x2*x3*x4, x1, x2*x3, x2*x4*x2*x4, x2^2 ]
[ x1*x2^2*x4*x2, x2, x3, x2*x4*x2*x4, x2^2 ]
[ x2*x3*x4, x1*x3, x2, x2*x4*x2*x4, x2^2 ]
[ x4, x1*x2, x3, x2*x4*x2*x4, x2^2 ]
[ x2*x3*x4, x1*x3, x2*x3, x2*x4*x2*x4, x2^2 ]
[ x1*x4, x1^3*x4^2, x2, x1^2*x4^2, x1^2 ]
[ x1*x4, x1^3*x4^2, x2*x3, x1^2*x4^2, x1^2 ]
[ x1*x4, x1^3*x4^2, x3, x1^2*x4^2, x1^2 ]
[ x1*x4, x2, x2*x3, x1^2*x4^2, x1^2 ]
[ x1*x4, x1^3*x2*x3*x4^2, x2, x1^2*x4^2, x1^2 ]
[ x1*x4, x1^3*x2*x4^2, x2*x3, x1^2*x4^2, x1^2 ]
[ x1*x4, x1^3*x2*x3*x4^2, x3, x1^2*x4^2, x1^2 ]
[ x1^3*x4^2, x2, x2*x3, x1^2*x4^2, x1^2 ]
[ x2*x3*x4*x1, x1^3*x4^2, x2, x1^2*x4^2, x1^2 ]
[ x1^3*x2*x4, x1^3*x4^2, x2*x3, x1^2*x4^2, x1^2 ]
[ x2*x3*x4*x1, x1^3*x4^2, x3, x1^2*x4^2, x1^2 ]
[ x1^2*x4, x2, x2*x3, x1^2*x4^2, x1^2 ]
[ x2*x3*x4*x1, x1^3*x2*x3*x4^2, x2, x1^2*x4^2, x1^2 ]
[ x1^3*x2*x4, x1^3*x2*x4^2, x2*x3, x1^2*x4^2, x1^2 ]
[ x2*x3*x4*x1, x1^3*x2*x3*x4^2, x3, x1^2*x4^2, x1^2 ]
[ x1*x2^2*x4, x1, x2, x2^2, x1*x2*x1*x2^3 ]
[ x1*x2^2*x4, x1, x2*x3, x2^2, x1*x2*x1*x2^3 ]
[ x1*x2^2*x4, x1, x2^2*x3, x2^2, x1*x2*x1*x2^3 ]
[ x1*x2^2*x4, x2, x2*x3, x2^2, x1*x2*x1*x2^3 ]
[ x1*x2^2*x4, x1*x2*x3, x2, x2^2, x1*x2*x1*x2^3 ]
[ x1*x2^2*x4, x1*x2, x2*x3, x2^2, x1*x2*x1*x2^3 ]
[ x1*x2^2*x4, x1*x2*x3, x2^2*x3, x2^2, x1*x2*x1*x2^3 ]
[ x1, x2, x2*x3, x2^2, x1*x2*x1*x2^3 ]
[ x1*x2*x3*x4, x1, x2, x2^2, x1*x2*x1*x2^3 ]
[ x2*x1*x4, x1, x2*x3, x2^2, x1*x2*x1*x2^3 ]
[ x1*x2*x3*x4, x1, x2^2*x3, x2^2, x1*x2*x1*x2^3 ]
[ x2^2*x4, x2, x2*x3, x2^2, x1*x2*x1*x2^3 ]
[ x1*x2*x3*x4, x1*x2*x3, x2, x2^2, x1*x2*x1*x2^3 ]
[ x2*x1*x4, x1*x2, x2*x3, x2^2, x1*x2*x1*x2^3 ]
[ x1*x2*x3*x4, x1*x2*x3, x2^2*x3, x2^2, x1*x2*x1*x2^3 ]
[ x2*x1*x4*x2, x1, x2, x1*x2*x1*x4*x2*x4, x1*x2*x1*x2 ]
[ x2*x1*x4*x2, x1, x2*x3, x1*x2*x1*x4*x2*x4, x1*x2*x1*x2 ]
[ x2*x1*x4*x2, x1, x3, x1*x2*x1*x4*x2*x4, x1*x2*x1*x2 ]
[ x2*x1*x4*x2, x2, x2*x3, x1*x2*x1*x4*x2*x4, x1*x2*x1*x2 ]
[ x2*x1*x4*x2, x1*x2*x3, x2, x1*x2*x1*x4*x2*x4, x1*x2*x1*x2 ]
[ x2*x1*x4*x2, x1*x2, x2*x3, x1*x2*x1*x4*x2*x4, x1*x2*x1*x2 ]
[ x2*x1*x4*x2, x1*x2*x3, x3, x1*x2*x1*x4*x2*x4, x1*x2*x1*x2 ]
[ x1, x2, x2*x3, x1*x2*x1*x4*x2*x4, x1*x2*x1*x2 ]
[ x1*x2*x3*x4, x1, x2, x1*x2*x1*x4*x2*x4, x1*x2*x1*x2 ]
[ x2*x1*x4, x1, x2*x3, x1*x2*x1*x4*x2*x4, x1*x2*x1*x2 ]
[ x1*x2*x3*x4, x1, x3, x1*x2*x1*x4*x2*x4, x1*x2*x1*x2 ]
[ x1*x2*x1*x4*x2, x2, x2*x3, x1*x2*x1*x4*x2*x4, x1*x2*x1*x2 ]
[ x1*x2*x3*x4, x1*x2*x3, x2, x1*x2*x1*x4*x2*x4, x1*x2*x1*x2 ]
[ x2*x1*x4, x1*x2, x2*x3, x1*x2*x1*x4*x2*x4, x1*x2*x1*x2 ]
[ x1*x2*x3*x4, x1*x2*x3, x3, x1*x2*x1*x4*x2*x4, x1*x2*x1*x2 ]
[ x2, x1^2 ]
[ x1, x1^2 ]
[ x1*x2, x1^2 ]
[ x2, x1^2 ]
[ x1, x1^2 ]
[ x1*x2, x1^2 ]
[ x1^2*x2, x1^2 ]
[ x1, x1^2 ]
[ x1^3*x2, x1^2 ]
[ x1^2*x2, x1^2 ]
[ x1, x1^2 ]
[ x1^3*x2, x1^2 ]
gap> LogTo();