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.1507");
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, 0, 1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ]
], size := 128 )
gap> P1 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.128/(2)^4(4)^4/words.group.1507"]);
gap> Append(GROUPS,[P1]);
gap> R := CaratReadBravaisFile("ordnung.128/(2)^4(4)^6/group.1508");
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, 0, -1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 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 := 128 )
gap> P2 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.128/(2)^4(4)^6/words.group.1508"]);
gap> Append(GROUPS,[P2]);
gap> R := CaratReadBravaisFile("ordnung.128/(2)^4(4)^6/group.1509");
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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 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> P3 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.128/(2)^4(4)^6/words.group.1509"]);
gap> Append(GROUPS,[P3]);
gap> R := CaratReadBravaisFile("ordnung.128/(2)^4(4)^6/group.1510");
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, 0, 1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 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 := 128 )
gap> P4 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.128/(2)^4(4)^6/words.group.1510"]);
gap> Append(GROUPS,[P4]);
gap> R := CaratReadBravaisFile("ordnung.128/(2)^4(4)^6(8)^2/group.1511");
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, 0, 1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 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 := 128 )
gap> P5 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.128/(2)^4(4)^6(8)^2/words.group.1511"]);
gap> Append(GROUPS,[P5]);
gap> R := CaratReadBravaisFile("ordnung.128/(2)^4(4)^6(8)^2/group.1512");
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, 0, 1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 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> P6 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.128/(2)^4(4)^6(8)^2/words.group.1512"]);
gap> Append(GROUPS,[P6]);
gap> R := CaratReadBravaisFile("ordnung.128/(2)^4(4)^8/group.1513");
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, 0, 1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 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 4 generators>
gap> Append(names,["ordnung.128/(2)^4(4)^8/words.group.1513"]);
gap> Append(GROUPS,[P7]);
gap> R := CaratReadBravaisFile("ordnung.128/(2)^4(4)^8/group.1514");
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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 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 := 128 )
gap> P8 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.128/(2)^4(4)^8/words.group.1514"]);
gap> Append(GROUPS,[P8]);
gap> R := CaratReadBravaisFile("ordnung.128/(2)^4(4)^8/group.1515");
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, 0, 1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 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 4 generators>
gap> Append(names,["ordnung.128/(2)^4(4)^8/words.group.1515"]);
gap> Append(GROUPS,[P9]);
gap> R := CaratReadBravaisFile("ordnung.128/(2)^4(4)^8/group.1516");
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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 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 4 generators>
gap> Append(names,["ordnung.128/(2)^4(4)^8/words.group.1516"]);
gap> Append(GROUPS,[P10]);
gap> R := CaratReadBravaisFile("ordnung.128/(2)^4(4)^8/group.1517");
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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 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 4 generators>
gap> Append(names,["ordnung.128/(2)^4(4)^8/words.group.1517"]);
gap> Append(GROUPS,[P11]);
gap> R := CaratReadBravaisFile("ordnung.128/(2)^4(4)^8/group.1518");
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, 0, 1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 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 := 128 )
gap> P12 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.128/(2)^4(4)^8/words.group.1518"]);
gap> Append(GROUPS,[P12]);
gap> R := CaratReadBravaisFile("ordnung.128/(2)^4(4)^8/group.1519");
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, 0, 1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 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, 0, 1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 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 4 generators>
gap> Append(names,["ordnung.128/(2)^4(4)^8/words.group.1519"]);
gap> Append(GROUPS,[P13]);
gap> R := CaratReadBravaisFile("ordnung.128/(2)^4(4)^8/group.1520");
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, 0, 1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ]
, [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 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 4 generators>
gap> Append(names,["ordnung.128/(2)^4(4)^8/words.group.1520"]);
gap> Append(GROUPS,[P14]);
gap> R := CaratReadBravaisFile("ordnung.128/(2)^4(4)^8/group.1521");
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, 0, 1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ]
], size := 128 )
gap> P15 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.128/(2)^4(4)^8/words.group.1521"]);
gap> Append(GROUPS,[P15]);
gap> R := CaratReadBravaisFile("ordnung.128/(2)^4(4)^8/group.1522");
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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ]
, [ [ 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 := 128 )
gap> P16 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.128/(2)^4(4)^8/words.group.1522"]);
gap> Append(GROUPS,[P16]);
gap> R := CaratReadBravaisFile("ordnung.128/(2)^4(4)^8/group.1523");
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, 0, -1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 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 := 128 )
gap> P17 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.128/(2)^4(4)^8/words.group.1523"]);
gap> Append(GROUPS,[P17]);
gap> R := CaratReadBravaisFile("ordnung.128/(2)^4(4)^8/group.1524");
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, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ]
,
[ [ 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> P18 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.128/(2)^4(4)^8/words.group.1524"]);
gap> Append(GROUPS,[P18]);
gap> R := CaratReadBravaisFile("ordnung.128/(2)^6(4)^2(8)^2/group.1525");
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, 0, 1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 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 := 128 )
gap> P19 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.128/(2)^6(4)^2(8)^2/words.group.1525"]);
gap> Append(GROUPS,[P19]);
gap> R := CaratReadBravaisFile("ordnung.128/(2)^6(4)^2(8)^2/group.1526");
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, 0, 1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ]
, [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 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> P20 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.128/(2)^6(4)^2(8)^2/words.group.1526"]);
gap> Append(GROUPS,[P20]);
gap> R := CaratReadBravaisFile("ordnung.128/(2)^6(4)^2(8)^2/group.1527");
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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 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> P21 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.128/(2)^6(4)^2(8)^2/words.group.1527"]);
gap> Append(GROUPS,[P21]);
gap> R := CaratReadBravaisFile("ordnung.128/(2)^6(4)^2(8)^2/group.1528");
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, 0, -1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 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 := 128 )
gap> P22 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.128/(2)^6(4)^2(8)^2/words.group.1528"]);
gap> Append(GROUPS,[P22]);
gap> R := CaratReadBravaisFile("ordnung.128/(2)^6(4)^2(8)^2/group.1529");
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, 0, 1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 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 := 128 )
gap> P23 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.128/(2)^6(4)^2(8)^2/words.group.1529"]);
gap> Append(GROUPS,[P23]);
gap> R := CaratReadBravaisFile("ordnung.128/(2)^6(4)^4(8)^2/group.1530");
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, 0, 1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ 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 := 128 )
gap> P24 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.128/(2)^6(4)^4(8)^2/words.group.1530"]);
gap> Append(GROUPS,[P24]);
gap> R := CaratReadBravaisFile("ordnung.128/(2)^6(4)^4(8)^2/group.1531");
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, 0, 1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 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 := 128 )
gap> P25 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.128/(2)^6(4)^4(8)^2/words.group.1531"]);
gap> Append(GROUPS,[P25]);
gap> R := CaratReadBravaisFile("ordnung.128/(2)^6(4)^4(8)^2/group.1532");
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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 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 := 128 )
gap> P26 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.128/(2)^6(4)^4(8)^2/words.group.1532"]);
gap> Append(GROUPS,[P26]);
gap> R := CaratReadBravaisFile("ordnung.128/(2)^6(4)^4(8)^2/group.1533");
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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 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 := 128 )
gap> P27 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.128/(2)^6(4)^4(8)^2/words.group.1533"]);
gap> Append(GROUPS,[P27]);
gap> R := CaratReadBravaisFile("ordnung.128/(2)^6(4)^4(8)^2/group.1534");
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, 0, 1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 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, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 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> P28 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.128/(2)^6(4)^4(8)^2/words.group.1534"]);
gap> Append(GROUPS,[P28]);
gap> R := CaratReadBravaisFile("ordnung.128/(2)^6(4)^4(8)^2/group.1535");
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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ]
, [ [ 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 := 128 )
gap> P29 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.128/(2)^6(4)^4(8)^2/words.group.1535"]);
gap> Append(GROUPS,[P29]);
gap> R := CaratReadBravaisFile("ordnung.128/(2)^6(4)^4(8)^2/group.1536");
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, 0, 1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 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> P30 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.128/(2)^6(4)^4(8)^2/words.group.1536"]);
gap> Append(GROUPS,[P30]);
gap> R := CaratReadBravaisFile("ordnung.128/(2)^6(4)^4(8)^2/group.1537");
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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 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> P31 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.128/(2)^6(4)^4(8)^2/words.group.1537"]);
gap> Append(GROUPS,[P31]);
gap> R := CaratReadBravaisFile("ordnung.128/(2)^6(4)^4(8)^2/group.1538");
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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ]
, [ [ 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 := 128 )
gap> P32 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.128/(2)^6(4)^4(8)^2/words.group.1538"]);
gap> Append(GROUPS,[P32]);
gap> R := CaratReadBravaisFile("ordnung.128/(2)^6(4)^4(8)^2/group.1539");
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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ]
,
[ [ 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 := 128 )
gap> P33 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.128/(2)^6(4)^4(8)^2/words.group.1539"]);
gap> Append(GROUPS,[P33]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^1(4)^4(8)^1/min.278");
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, 0, -1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 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> P34 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.16/(2)^1(4)^4(8)^1/words.min.278"]);
gap> Append(GROUPS,[P34]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^2(4)^4(8)^4/min.279");
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, 0, -1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 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> P35 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.16/(2)^2(4)^4(8)^4/words.min.279"]);
gap> Append(GROUPS,[P35]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^2(8)^4/min.280");
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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ]
, [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 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.min.280"]);
gap> Append(GROUPS,[P36]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^2(8)^4/min.281");
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 ] ],
[ [ 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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ]
], size := 16 )
gap> P37 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.16/(2)^2(8)^4/words.min.281"]);
gap> Append(GROUPS,[P37]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^4(16)^4/min.282");
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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ]
], size := 16 )
gap> P38 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.16/(2)^4(16)^4/words.min.282"]);
gap> Append(GROUPS,[P38]);
gap> R := CaratReadBravaisFile("ordnung.16/(2)^4(16)^4/min.283");
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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ]
], size := 16 )
gap> P39 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.16/(2)^4(16)^4/words.min.283"]);
gap> Append(GROUPS,[P39]);
gap> R := CaratReadBravaisFile("ordnung.256/(2)^6(4)^4/group.1540");
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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ]
, [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 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 := 256 )
gap> P40 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.256/(2)^6(4)^4/words.group.1540"]);
gap> Append(GROUPS,[P40]);
gap> R := CaratReadBravaisFile("ordnung.256/(2)^6(4)^6/group.1541");
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, 0, 1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 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 := 256 )
gap> P41 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.256/(2)^6(4)^6/words.group.1541"]);
gap> Append(GROUPS,[P41]);
gap> R := CaratReadBravaisFile("ordnung.256/(2)^6(4)^6/group.1542");
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, 0, 1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 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, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 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> P42 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.256/(2)^6(4)^6/words.group.1542"]);
gap> Append(GROUPS,[P42]);
gap> R := CaratReadBravaisFile("ordnung.256/(2)^6(4)^6/group.1543");
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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 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> P43 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.256/(2)^6(4)^6/words.group.1543"]);
gap> Append(GROUPS,[P43]);
gap> R := CaratReadBravaisFile("ordnung.256/(2)^6(4)^6/group.1544");
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, 0, 1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 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 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 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> P44 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.256/(2)^6(4)^6/words.group.1544"]);
gap> Append(GROUPS,[P44]);
gap> R := CaratReadBravaisFile("ordnung.256/(2)^6(4)^6/group.1545");
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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ]
, [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 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> P45 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.256/(2)^6(4)^6/words.group.1545"]);
gap> Append(GROUPS,[P45]);
gap> R := CaratReadBravaisFile("ordnung.256/(2)^6(4)^6/group.1546");
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, 0, 1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 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 := 256 )
gap> P46 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.256/(2)^6(4)^6/words.group.1546"]);
gap> Append(GROUPS,[P46]);
gap> R := CaratReadBravaisFile("ordnung.256/(2)^6(4)^6/group.1547");
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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 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> P47 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.256/(2)^6(4)^6/words.group.1547"]);
gap> Append(GROUPS,[P47]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^1(4)^4(8)^1/group.1548");
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, 0, 1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 32 )
gap> P48 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^1(4)^4(8)^1/words.group.1548"]);
gap> Append(GROUPS,[P48]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^2(4)^2(8)^2/group.1549");
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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ]
], size := 32 )
gap> P49 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^2(4)^2(8)^2/words.group.1549"]);
gap> Append(GROUPS,[P49]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^2(4)^4(8)^4/group.1550");
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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 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 3 generators>
gap> Append(names,["ordnung.32/(2)^2(4)^4(8)^4/words.group.1550"]);
gap> Append(GROUPS,[P50]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^2(4)^4(8)^4/group.1551");
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, 0, -1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 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)^4(8)^4/words.group.1551"]);
gap> Append(GROUPS,[P51]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^2(4)^4(8)^4/group.1552");
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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 32 )
gap> P52 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^2(4)^4(8)^4/words.group.1552"]);
gap> Append(GROUPS,[P52]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^2(4)^4(8)^4/min.284");
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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ]
], size := 32 )
gap> P53 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^2(4)^4(8)^4/words.min.284"]);
gap> Append(GROUPS,[P53]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^2(4)^4(8)^4/min.285");
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, 0, -1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 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> P54 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.32/(2)^2(4)^4(8)^4/words.min.285"]);
gap> Append(GROUPS,[P54]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^2(4)^8(8)^2/group.1553");
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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 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 3 generators>
gap> Append(names,["ordnung.32/(2)^2(4)^8(8)^2/words.group.1553"]);
gap> Append(GROUPS,[P55]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^2(4)^8(8)^2/group.1554");
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, 0, 1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 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 3 generators>
gap> Append(names,["ordnung.32/(2)^2(4)^8(8)^2/words.group.1554"]);
gap> Append(GROUPS,[P56]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(8)^4/group.1555");
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, 0, 1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 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> P57 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(8)^4/words.group.1555"]);
gap> Append(GROUPS,[P57]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(8)^4/group.1556");
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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ]
], size := 32 )
gap> P58 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(8)^4/words.group.1556"]);
gap> Append(GROUPS,[P58]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(8)^4/group.1557");
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, 0, -1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 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> P59 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.32/(2)^4(8)^4/words.group.1557"]);
gap> Append(GROUPS,[P59]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(8)^4/group.1558");
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, 0, 1 ], [ 0, 0, 0, 0, 1, 0 ] ] ]
, size := 32 )
gap> P60 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(8)^4/words.group.1558"]);
gap> Append(GROUPS,[P60]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(8)^4/group.1559");
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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 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)^4(8)^4/words.group.1559"]);
gap> Append(GROUPS,[P61]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(8)^4/min.286");
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, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ]
] ], size := 32 )
gap> P62 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.32/(2)^4(8)^4/words.min.286"]);
gap> Append(GROUPS,[P62]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(8)^8/group.1560");
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, 0, 1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 32 )
gap> P63 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.32/(2)^4(8)^8/words.group.1560"]);
gap> Append(GROUPS,[P63]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(8)^8/group.1561");
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, 0, 1 ], [ 0, 0, 0, 0, 1, 0 ] ]
], size := 32 )
gap> P64 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(8)^8/words.group.1561"]);
gap> Append(GROUPS,[P64]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(8)^8/group.1562");
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, 0, 1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 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 3 generators>
gap> Append(names,["ordnung.32/(2)^4(8)^8/words.group.1562"]);
gap> Append(GROUPS,[P65]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(8)^8/group.1563");
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, 0, 1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 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> P66 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(8)^8/words.group.1563"]);
gap> Append(GROUPS,[P66]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(8)^8/min.287");
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, 0, 1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ 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> P67 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(8)^8/words.min.287"]);
gap> Append(GROUPS,[P67]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(8)^8/min.288");
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, 0, 1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ -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> P68 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.32/(2)^4(8)^8/words.min.288"]);
gap> Append(GROUPS,[P68]);
gap> R := CaratReadBravaisFile("ordnung.32/(2)^4(8)^8/min.289");
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, 0, 1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 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> P69 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.32/(2)^4(8)^8/words.min.289"]);
gap> Append(GROUPS,[P69]);
gap> R := CaratReadBravaisFile("ordnung.512/(2)^8(4)^4/group.1564");
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, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ]
, [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 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 := 512 )
gap> P70 := Group(R.generators);
<matrix group with 6 generators>
gap> Append(names,["ordnung.512/(2)^8(4)^4/words.group.1564"]);
gap> Append(GROUPS,[P70]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^2(4)^4/group.1565");
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, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ]
], size := 64 )
gap> P71 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.64/(2)^2(4)^4/words.group.1565"]);
gap> Append(GROUPS,[P71]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^2(4)^6(8)^2/group.1566");
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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 64 )
gap> P72 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^2(4)^6(8)^2/words.group.1566"]);
gap> Append(GROUPS,[P72]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^2(4)^6(8)^2/group.1567");
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, 0, -1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 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> P73 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.64/(2)^2(4)^6(8)^2/words.group.1567"]);
gap> Append(GROUPS,[P73]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^2(4)^8(8)^2/group.1568");
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, 0, 1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 64 )
gap> P74 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.64/(2)^2(4)^8(8)^2/words.group.1568"]);
gap> Append(GROUPS,[P74]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^2(4)^8(8)^2/group.1569");
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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 64 )
gap> P75 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.64/(2)^2(4)^8(8)^2/words.group.1569"]);
gap> Append(GROUPS,[P75]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^2(4)^8(8)^2/group.1570");
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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 64 )
gap> P76 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^2(4)^8(8)^2/words.group.1570"]);
gap> Append(GROUPS,[P76]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^2(4)^8(8)^2/group.1571");
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, 0, 1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 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> P77 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^2(4)^8(8)^2/words.group.1571"]);
gap> Append(GROUPS,[P77]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^2(4)^8(8)^2/group.1572");
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, 0, 1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 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, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 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> P78 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.64/(2)^2(4)^8(8)^2/words.group.1572"]);
gap> Append(GROUPS,[P78]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^2(8)^2/group.1573");
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, 0, 1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 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> P79 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^2(8)^2/words.group.1573"]);
gap> Append(GROUPS,[P79]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^2(8)^2/group.1574");
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, 0, -1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 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> P80 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^2(8)^2/words.group.1574"]);
gap> Append(GROUPS,[P80]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^2(8)^2/group.1575");
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, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ]
], size := 64 )
gap> P81 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^2(8)^2/words.group.1575"]);
gap> Append(GROUPS,[P81]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^2(8)^2/group.1576");
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, 0, 1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 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> P82 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^2(8)^2/words.group.1576"]);
gap> Append(GROUPS,[P82]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^2(8)^2/group.1577");
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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ]
,
[ [ 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> P83 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^2(8)^2/words.group.1577"]);
gap> Append(GROUPS,[P83]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^4(8)^2/group.1578");
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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ]
,
[ [ 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> P84 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^4(8)^2/words.group.1578"]);
gap> Append(GROUPS,[P84]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^4(8)^2/group.1579");
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, 0, 1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 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> P85 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^4(8)^2/words.group.1579"]);
gap> Append(GROUPS,[P85]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^4(8)^2/group.1580");
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, 0, -1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 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> P86 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^4(8)^2/words.group.1580"]);
gap> Append(GROUPS,[P86]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^4(8)^2/group.1581");
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, 0, 1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 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> P87 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^4(8)^2/words.group.1581"]);
gap> Append(GROUPS,[P87]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^4(8)^2/group.1582");
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, 0, 1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 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> P88 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^4(8)^2/words.group.1582"]);
gap> Append(GROUPS,[P88]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^4(8)^2/group.1583");
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, 0, -1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 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> P89 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^4(8)^2/words.group.1583"]);
gap> Append(GROUPS,[P89]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^4(8)^2/group.1584");
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, 0, -1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 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> P90 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^4(8)^2/words.group.1584"]);
gap> Append(GROUPS,[P90]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^4(8)^2/group.1585");
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, 0, -1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 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> P91 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^4(8)^2/words.group.1585"]);
gap> Append(GROUPS,[P91]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^4(8)^2/group.1586");
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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 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> P92 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^4(8)^2/words.group.1586"]);
gap> Append(GROUPS,[P92]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^4(8)^2/group.1587");
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, 0, 1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ]
, [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 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> P93 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^4(8)^2/words.group.1587"]);
gap> Append(GROUPS,[P93]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^4(8)^2/group.1588");
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, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ]
], size := 64 )
gap> P94 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^4(8)^2/words.group.1588"]);
gap> Append(GROUPS,[P94]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^4(8)^2/group.1589");
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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ 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> P95 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^4(8)^2/words.group.1589"]);
gap> Append(GROUPS,[P95]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^4(8)^2/group.1590");
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, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0 ] ] ]
, size := 64 )
gap> P96 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^4(8)^2/words.group.1590"]);
gap> Append(GROUPS,[P96]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^4(8)^4/group.1591");
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, 0, 1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 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> P97 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^4(8)^4/words.group.1591"]);
gap> Append(GROUPS,[P97]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^4(8)^4/group.1592");
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, 0, 1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 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> P98 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^4(8)^4/words.group.1592"]);
gap> Append(GROUPS,[P98]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^4(8)^4/group.1593");
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, 0, 1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 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> P99 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^4(8)^4/words.group.1593"]);
gap> Append(GROUPS,[P99]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^4(8)^4/group.1594");
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, 0, 1 ], [ 0, 0, 0, 0, 1, 0 ] ]
], size := 64 )
gap> P100 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^4(8)^4/words.group.1594"]);
gap> Append(GROUPS,[P100]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^4(8)^4/group.1595");
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, 0, 1 ], [ 0, 0, 0, 0, 1, 0 ] ]
], size := 64 )
gap> P101 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^4(8)^4/words.group.1595"]);
gap> Append(GROUPS,[P101]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^4(8)^4/group.1596");
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, 0, 1 ], [ 0, 0, 0, 0, 1, 0 ] ]
], size := 64 )
gap> P102 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^4(8)^4/words.group.1596"]);
gap> Append(GROUPS,[P102]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^4(8)^4/group.1597");
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, 0, -1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 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> P103 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^4(8)^4/words.group.1597"]);
gap> Append(GROUPS,[P103]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^4(8)^4/group.1598");
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, 0, 1 ], [ 0, 0, 0, 0, 1, 0 ] ]
], size := 64 )
gap> P104 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^4(8)^4/words.group.1598"]);
gap> Append(GROUPS,[P104]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^4(8)^4/group.1599");
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, 0, 1 ], [ 0, 0, 0, 0, 1, 0 ] ] ]
, size := 64 )
gap> P105 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^4(8)^4/words.group.1599"]);
gap> Append(GROUPS,[P105]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^4(8)^4/group.1600");
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, 0, 1 ], [ 0, 0, 0, 0, 1, 0 ] ]
], size := 64 )
gap> P106 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^4(8)^4/words.group.1600"]);
gap> Append(GROUPS,[P106]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^6(8)^2/group.1601");
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, 0, 1 ], [ 0, 0, 0, 0, 1, 0 ] ]
], size := 64 )
gap> P107 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^6(8)^2/words.group.1601"]);
gap> Append(GROUPS,[P107]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^6(8)^2/group.1602");
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, 0, 1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 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> P108 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^6(8)^2/words.group.1602"]);
gap> Append(GROUPS,[P108]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^6(8)^2/group.1603");
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, 0, 1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 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> P109 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^6(8)^2/words.group.1603"]);
gap> Append(GROUPS,[P109]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^6(8)^2/group.1604");
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, 0, 1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 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> P110 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^6(8)^2/words.group.1604"]);
gap> Append(GROUPS,[P110]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^6(8)^2/group.1605");
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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ]
] ], size := 64 )
gap> P111 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^6(8)^2/words.group.1605"]);
gap> Append(GROUPS,[P111]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^6(8)^2/group.1606");
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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ]
] ], size := 64 )
gap> P112 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^6(8)^2/words.group.1606"]);
gap> Append(GROUPS,[P112]);
gap> R := CaratReadBravaisFile("ordnung.64/(2)^4(4)^6(8)^2/group.1607");
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, 0, 1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 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, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 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> P113 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.64/(2)^4(4)^6(8)^2/words.group.1607"]);
gap> Append(GROUPS,[P113]);
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, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ],
[ [ 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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ]
]),
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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
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Group([ [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ]
, [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0 ] ]
]),
Group([ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 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, 0, 1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 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 ] ]
]),
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, 0, 1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 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 ] ]
]),
Group([ [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ]
, [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ]
] ]),
Group([ [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ]
, [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ]
] ]),
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, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ],
[ [ 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, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
]) ]
gap> Print(names,"\n");
[ "ordnung.128/(2)^4(4)^4/words.group.1507",
"ordnung.128/(2)^4(4)^6/words.group.1508",
"ordnung.128/(2)^4(4)^6/words.group.1509",
"ordnung.128/(2)^4(4)^6/words.group.1510",
"ordnung.128/(2)^4(4)^6(8)^2/words.group.1511",
"ordnung.128/(2)^4(4)^6(8)^2/words.group.1512",
"ordnung.128/(2)^4(4)^8/words.group.1513",
"ordnung.128/(2)^4(4)^8/words.group.1514",
"ordnung.128/(2)^4(4)^8/words.group.1515",
"ordnung.128/(2)^4(4)^8/words.group.1516",
"ordnung.128/(2)^4(4)^8/words.group.1517",
"ordnung.128/(2)^4(4)^8/words.group.1518",
"ordnung.128/(2)^4(4)^8/words.group.1519",
"ordnung.128/(2)^4(4)^8/words.group.1520",
"ordnung.128/(2)^4(4)^8/words.group.1521",
"ordnung.128/(2)^4(4)^8/words.group.1522",
"ordnung.128/(2)^4(4)^8/words.group.1523",
"ordnung.128/(2)^4(4)^8/words.group.1524",
"ordnung.128/(2)^6(4)^2(8)^2/words.group.1525",
"ordnung.128/(2)^6(4)^2(8)^2/words.group.1526",
"ordnung.128/(2)^6(4)^2(8)^2/words.group.1527",
"ordnung.128/(2)^6(4)^2(8)^2/words.group.1528",
"ordnung.128/(2)^6(4)^2(8)^2/words.group.1529",
"ordnung.128/(2)^6(4)^4(8)^2/words.group.1530",
"ordnung.128/(2)^6(4)^4(8)^2/words.group.1531",
"ordnung.128/(2)^6(4)^4(8)^2/words.group.1532",
"ordnung.128/(2)^6(4)^4(8)^2/words.group.1533",
"ordnung.128/(2)^6(4)^4(8)^2/words.group.1534",
"ordnung.128/(2)^6(4)^4(8)^2/words.group.1535",
"ordnung.128/(2)^6(4)^4(8)^2/words.group.1536",
"ordnung.128/(2)^6(4)^4(8)^2/words.group.1537",
"ordnung.128/(2)^6(4)^4(8)^2/words.group.1538",
"ordnung.128/(2)^6(4)^4(8)^2/words.group.1539",
"ordnung.16/(2)^1(4)^4(8)^1/words.min.278",
"ordnung.16/(2)^2(4)^4(8)^4/words.min.279",
"ordnung.16/(2)^2(8)^4/words.min.280", "ordnung.16/(2)^2(8)^4/words.min.281"
, "ordnung.16/(2)^4(16)^4/words.min.282",
"ordnung.16/(2)^4(16)^4/words.min.283",
"ordnung.256/(2)^6(4)^4/words.group.1540",
"ordnung.256/(2)^6(4)^6/words.group.1541",
"ordnung.256/(2)^6(4)^6/words.group.1542",
"ordnung.256/(2)^6(4)^6/words.group.1543",
"ordnung.256/(2)^6(4)^6/words.group.1544",
"ordnung.256/(2)^6(4)^6/words.group.1545",
"ordnung.256/(2)^6(4)^6/words.group.1546",
"ordnung.256/(2)^6(4)^6/words.group.1547",
"ordnung.32/(2)^1(4)^4(8)^1/words.group.1548",
"ordnung.32/(2)^2(4)^2(8)^2/words.group.1549",
"ordnung.32/(2)^2(4)^4(8)^4/words.group.1550",
"ordnung.32/(2)^2(4)^4(8)^4/words.group.1551",
"ordnung.32/(2)^2(4)^4(8)^4/words.group.1552",
"ordnung.32/(2)^2(4)^4(8)^4/words.min.284",
"ordnung.32/(2)^2(4)^4(8)^4/words.min.285",
"ordnung.32/(2)^2(4)^8(8)^2/words.group.1553",
"ordnung.32/(2)^2(4)^8(8)^2/words.group.1554",
"ordnung.32/(2)^4(8)^4/words.group.1555",
"ordnung.32/(2)^4(8)^4/words.group.1556",
"ordnung.32/(2)^4(8)^4/words.group.1557",
"ordnung.32/(2)^4(8)^4/words.group.1558",
"ordnung.32/(2)^4(8)^4/words.group.1559",
"ordnung.32/(2)^4(8)^4/words.min.286",
"ordnung.32/(2)^4(8)^8/words.group.1560",
"ordnung.32/(2)^4(8)^8/words.group.1561",
"ordnung.32/(2)^4(8)^8/words.group.1562",
"ordnung.32/(2)^4(8)^8/words.group.1563",
"ordnung.32/(2)^4(8)^8/words.min.287", "ordnung.32/(2)^4(8)^8/words.min.288"
, "ordnung.32/(2)^4(8)^8/words.min.289",
"ordnung.512/(2)^8(4)^4/words.group.1564",
"ordnung.64/(2)^2(4)^4/words.group.1565",
"ordnung.64/(2)^2(4)^6(8)^2/words.group.1566",
"ordnung.64/(2)^2(4)^6(8)^2/words.group.1567",
"ordnung.64/(2)^2(4)^8(8)^2/words.group.1568",
"ordnung.64/(2)^2(4)^8(8)^2/words.group.1569",
"ordnung.64/(2)^2(4)^8(8)^2/words.group.1570",
"ordnung.64/(2)^2(4)^8(8)^2/words.group.1571",
"ordnung.64/(2)^2(4)^8(8)^2/words.group.1572",
"ordnung.64/(2)^4(4)^2(8)^2/words.group.1573",
"ordnung.64/(2)^4(4)^2(8)^2/words.group.1574",
"ordnung.64/(2)^4(4)^2(8)^2/words.group.1575",
"ordnung.64/(2)^4(4)^2(8)^2/words.group.1576",
"ordnung.64/(2)^4(4)^2(8)^2/words.group.1577",
"ordnung.64/(2)^4(4)^4(8)^2/words.group.1578",
"ordnung.64/(2)^4(4)^4(8)^2/words.group.1579",
"ordnung.64/(2)^4(4)^4(8)^2/words.group.1580",
"ordnung.64/(2)^4(4)^4(8)^2/words.group.1581",
"ordnung.64/(2)^4(4)^4(8)^2/words.group.1582",
"ordnung.64/(2)^4(4)^4(8)^2/words.group.1583",
"ordnung.64/(2)^4(4)^4(8)^2/words.group.1584",
"ordnung.64/(2)^4(4)^4(8)^2/words.group.1585",
"ordnung.64/(2)^4(4)^4(8)^2/words.group.1586",
"ordnung.64/(2)^4(4)^4(8)^2/words.group.1587",
"ordnung.64/(2)^4(4)^4(8)^2/words.group.1588",
"ordnung.64/(2)^4(4)^4(8)^2/words.group.1589",
"ordnung.64/(2)^4(4)^4(8)^2/words.group.1590",
"ordnung.64/(2)^4(4)^4(8)^4/words.group.1591",
"ordnung.64/(2)^4(4)^4(8)^4/words.group.1592",
"ordnung.64/(2)^4(4)^4(8)^4/words.group.1593",
"ordnung.64/(2)^4(4)^4(8)^4/words.group.1594",
"ordnung.64/(2)^4(4)^4(8)^4/words.group.1595",
"ordnung.64/(2)^4(4)^4(8)^4/words.group.1596",
"ordnung.64/(2)^4(4)^4(8)^4/words.group.1597",
"ordnung.64/(2)^4(4)^4(8)^4/words.group.1598",
"ordnung.64/(2)^4(4)^4(8)^4/words.group.1599",
"ordnung.64/(2)^4(4)^4(8)^4/words.group.1600",
"ordnung.64/(2)^4(4)^6(8)^2/words.group.1601",
"ordnung.64/(2)^4(4)^6(8)^2/words.group.1602",
"ordnung.64/(2)^4(4)^6(8)^2/words.group.1603",
"ordnung.64/(2)^4(4)^6(8)^2/words.group.1604",
"ordnung.64/(2)^4(4)^6(8)^2/words.group.1605",
"ordnung.64/(2)^4(4)^6(8)^2/words.group.1606",
"ordnung.64/(2)^4(4)^6(8)^2/words.group.1607" ]
gap> Size(GROUPS);
113
gap> Size(names);
113
gap> Read("../../TGROUPS.GAP");
gap> for i in [1..Size(GROUPS)] do
> SubgroupWords(GROUPS[i], names[i]);
> od;
[ x1*x4, x1*x3, x2, x1^2*x4^2, x1^2, x2^2 ]
[ x1*x4, x1*x3, x1, x1^2*x4^2, x1^2, x2^2 ]
[ x1*x4, x1*x3, x2*x1, x1^2*x4^2, x1^2, x2^2 ]
[ x1*x4, x2, x1, x1^2*x4^2, x1^2, x2^2 ]
[ x1*x4, x1^2*x3, x2, x1^2*x4^2, x1^2, x2^2 ]
[ x1*x4, x2*x1*x3, x1, x1^2*x4^2, x1^2, x2^2 ]
[ x1*x4, x1^2*x3, x2*x1, x1^2*x4^2, x1^2, x2^2 ]
[ x1*x3, x2, x1, x1^2*x4^2, x1^2, x2^2 ]
[ x1^2*x4, x1*x3, x2, x1^2*x4^2, x1^2, x2^2 ]
[ x2*x1*x4, x1*x3, x1, x1^2*x4^2, x1^2, x2^2 ]
[ x1^2*x4, x1*x3, x2*x1, x1^2*x4^2, x1^2, x2^2 ]
[ x1^2*x3*x4, x2, x1, x1^2*x4^2, x1^2, x2^2 ]
[ x1^2*x4, x1^2*x3, x2, x1^2*x4^2, x1^2, x2^2 ]
[ x2*x1*x4, x2*x1*x3, x1, x1^2*x4^2, x1^2, x2^2 ]
[ x1^2*x4, x1^2*x3, x2*x1, x1^2*x4^2, x1^2, x2^2 ]
[ x4, x1, x2, x1^2, x4^2, x3*x4*x3*x4 ]
[ x4, x1, x2*x3, x1^2, x4^2, x3*x4*x3*x4 ]
[ x4, x1, x3, x1^2, x4^2, x3*x4*x3*x4 ]
[ x4, x2, x2*x3, x1^2, x4^2, x3*x4*x3*x4 ]
[ x4, x1*x2*x3, x2, x1^2, x4^2, x3*x4*x3*x4 ]
[ x4, x1*x2, x2*x3, x1^2, x4^2, x3*x4*x3*x4 ]
[ x4, x1*x2*x3, x3, x1^2, x4^2, x3*x4*x3*x4 ]
[ x1, x2, x2*x3, x1^2, x4^2, x3*x4*x3*x4 ]
[ x4*x2*x3, x1, x2, x1^2, x4^2, x3*x4*x3*x4 ]
[ x4*x2, x1, x2*x3, x1^2, x4^2, x3*x4*x3*x4 ]
[ x4*x2*x3, x1, x3, x1^2, x4^2, x3*x4*x3*x4 ]
[ x1*x4, x2, x2*x3, x1^2, x4^2, x3*x4*x3*x4 ]
[ x4*x2*x3, x1*x2*x3, x2, x1^2, x4^2, x3*x4*x3*x4 ]
[ x4*x2, x1*x2, x2*x3, x1^2, x4^2, x3*x4*x3*x4 ]
[ x4*x2*x3, x1*x2*x3, x3, x1^2, x4^2, x3*x4*x3*x4 ]
[ x1*x3*x1*x3*x4, x1*x2*x3*x1*x3*x4*x1*x4, x4*x1*x4, x2^2, x1*x4*x1*x4,
x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x4, x1*x2*x3*x1*x3*x4*x1*x4, x3, x2^2, x1*x4*x1*x4, x1*x3*x1*x3
]
[ x1*x3*x1*x3*x4, x1*x2*x3*x1*x3*x4*x1*x4, x1*x3*x1*x4*x1*x4, x2^2,
x1*x4*x1*x4, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x4, x4*x1*x4, x3, x2^2, x1*x4*x1*x4, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x4, x2*x3*x4*x1*x4, x4*x1*x4, x2^2, x1*x4*x1*x4, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x4, x1*x2*x3*x1*x3, x3, x2^2, x1*x4*x1*x4, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x4, x2*x3*x4*x1*x4, x1*x3*x1*x4*x1*x4, x2^2, x1*x4*x1*x4,
x1*x3*x1*x3 ]
[ x1*x2*x3*x1*x3*x4*x1*x4, x4*x1*x4, x3, x2^2, x1*x4*x1*x4, x1*x3*x1*x3 ]
[ x3*x1*x4*x1, x1*x2*x3*x1*x3*x4*x1*x4, x4*x1*x4, x2^2, x1*x4*x1*x4,
x1*x3*x1*x3 ]
[ x3*x1*x3*x4, x1*x2*x3*x1*x3*x4*x1*x4, x3, x2^2, x1*x4*x1*x4, x1*x3*x1*x3 ]
[ x3*x1*x4*x1, x1*x2*x3*x1*x3*x4*x1*x4, x1*x3*x1*x4*x1*x4, x2^2, x1*x4*x1*x4,
x1*x3*x1*x3 ]
[ x2*x4*x1, x4*x1*x4, x3, x2^2, x1*x4*x1*x4, x1*x3*x1*x3 ]
[ x3*x1*x4*x1, x2*x3*x4*x1*x4, x4*x1*x4, x2^2, x1*x4*x1*x4, x1*x3*x1*x3 ]
[ x3*x1*x3*x4, x1*x2*x3*x1*x3, x3, x2^2, x1*x4*x1*x4, x1*x3*x1*x3 ]
[ x3*x1*x4*x1, x2*x3*x4*x1*x4, x1*x3*x1*x4*x1*x4, x2^2, x1*x4*x1*x4,
x1*x3*x1*x3 ]
[ x1^3*x2*x1*x4*x2, x1, x1^3*x2*x1*x2*x4*x2*x4, x1^2, x2*x4*x2*x4,
x1^3*x2*x1*x2 ]
[ x1^3*x2*x1*x4*x2, x1, x3, x1^2, x2*x4*x2*x4, x1^3*x2*x1*x2 ]
[ x1^3*x2*x1*x4*x2, x1, x1^3*x2*x1*x2*x3*x4*x2*x4, x1^2, x2*x4*x2*x4,
x1^3*x2*x1*x2 ]
[ x1^3*x2*x1*x4*x2, x1^3*x2*x1*x2*x4*x2*x4, x3, x1^2, x2*x4*x2*x4,
x1^3*x2*x1*x2 ]
[ x1^3*x2*x1*x4*x2, x1*x3, x1^3*x2*x1*x2*x4*x2*x4, x1^2, x2*x4*x2*x4,
x1^3*x2*x1*x2 ]
[ x1^3*x2*x1*x4*x2, x2*x1*x2*x4*x2*x4, x3, x1^2, x2*x4*x2*x4, x1^3*x2*x1*x2 ]
[ x1^3*x2*x1*x4*x2, x1*x3, x1^3*x2*x1*x2*x3*x4*x2*x4, x1^2, x2*x4*x2*x4,
x1^3*x2*x1*x2 ]
[ x1, x1^3*x2*x1*x2*x4*x2*x4, x3, x1^2, x2*x4*x2*x4, x1^3*x2*x1*x2 ]
[ x1^3*x2*x1*x3*x4*x2, x1, x1^3*x2*x1*x2*x4*x2*x4, x1^2, x2*x4*x2*x4,
x1^3*x2*x1*x2 ]
[ x4*x2, x1, x3, x1^2, x2*x4*x2*x4, x1^3*x2*x1*x2 ]
[ x1^3*x2*x1*x3*x4*x2, x1, x1^3*x2*x1*x2*x3*x4*x2*x4, x1^2, x2*x4*x2*x4,
x1^3*x2*x1*x2 ]
[ x1*x2*x4*x2, x1^3*x2*x1*x2*x4*x2*x4, x3, x1^2, x2*x4*x2*x4, x1^3*x2*x1*x2 ]
[ x1^3*x2*x1*x3*x4*x2, x1*x3, x1^3*x2*x1*x2*x4*x2*x4, x1^2, x2*x4*x2*x4,
x1^3*x2*x1*x2 ]
[ x4*x2, x2*x1*x2*x4*x2*x4, x3, x1^2, x2*x4*x2*x4, x1^3*x2*x1*x2 ]
[ x1^3*x2*x1*x3*x4*x2, x1*x3, x1^3*x2*x1*x2*x3*x4*x2*x4, x1^2, x2*x4*x2*x4,
x1^3*x2*x1*x2 ]
[ x4, x2*x1*x2, x2, x4^2, x3*x4*x3*x4^3, x1*x2*x1*x2 ]
[ x4, x2*x1*x2, x3, x4^2, x3*x4*x3*x4^3, x1*x2*x1*x2 ]
[ x4, x2*x1*x2, x2*x3, x4^2, x3*x4*x3*x4^3, x1*x2*x1*x2 ]
[ x4, x2, x3, x4^2, x3*x4*x3*x4^3, x1*x2*x1*x2 ]
[ x4, x2*x1*x2*x3, x2, x4^2, x3*x4*x3*x4^3, x1*x2*x1*x2 ]
[ x4, x2*x1, x3, x4^2, x3*x4*x3*x4^3, x1*x2*x1*x2 ]
[ x4, x2*x1*x2*x3, x2*x3, x4^2, x3*x4*x3*x4^3, x1*x2*x1*x2 ]
[ x2*x1*x2, x2, x3, x4^2, x3*x4*x3*x4^3, x1*x2*x1*x2 ]
[ x4*x3, x2*x1*x2, x2, x4^2, x3*x4*x3*x4^3, x1*x2*x1*x2 ]
[ x2*x4, x2*x1*x2, x3, x4^2, x3*x4*x3*x4^3, x1*x2*x1*x2 ]
[ x4*x3, x2*x1*x2, x2*x3, x4^2, x3*x4*x3*x4^3, x1*x2*x1*x2 ]
[ x2*x1*x2*x4, x2, x3, x4^2, x3*x4*x3*x4^3, x1*x2*x1*x2 ]
[ x4*x3, x2*x1*x2*x3, x2, x4^2, x3*x4*x3*x4^3, x1*x2*x1*x2 ]
[ x2*x4, x2*x1, x3, x4^2, x3*x4*x3*x4^3, x1*x2*x1*x2 ]
[ x4*x3, x2*x1*x2*x3, x2*x3, x4^2, x3*x4*x3*x4^3, x1*x2*x1*x2 ]
[ x5, x3, x2, x4*x1*x4, x3^2, x1*x4*x1*x4 ]
[ x5, x3, x2, x4, x3^2, x1*x4*x1*x4 ]
[ x5, x3, x2, x4*x1, x3^2, x1*x4*x1*x4 ]
[ x5, x3, x4*x1*x4, x4, x3^2, x1*x4*x1*x4 ]
[ x5, x3, x2*x4, x4*x1*x4, x3^2, x1*x4*x1*x4 ]
[ x5, x3, x2*x4*x1*x4, x4, x3^2, x1*x4*x1*x4 ]
[ x5, x3, x2*x4, x4*x1, x3^2, x1*x4*x1*x4 ]
[ x5, x2, x4*x1*x4, x4, x3^2, x1*x4*x1*x4 ]
[ x5, x3*x4, x2, x4*x1*x4, x3^2, x1*x4*x1*x4 ]
[ x5, x3*x4*x1*x4, x2, x4, x3^2, x1*x4*x1*x4 ]
[ x5, x3*x4, x2, x4*x1, x3^2, x1*x4*x1*x4 ]
[ x5, x2*x3, x4*x1*x4, x4, x3^2, x1*x4*x1*x4 ]
[ x5, x3*x4, x2*x4, x4*x1*x4, x3^2, x1*x4*x1*x4 ]
[ x5, x3*x4*x1*x4, x2*x4*x1*x4, x4, x3^2, x1*x4*x1*x4 ]
[ x5, x3*x4, x2*x4, x4*x1, x3^2, x1*x4*x1*x4 ]
[ x3, x2, x4*x1*x4, x4, x3^2, x1*x4*x1*x4 ]
[ x4*x5, x3, x2, x4*x1*x4, x3^2, x1*x4*x1*x4 ]
[ x4*x1*x4*x5, x3, x2, x4, x3^2, x1*x4*x1*x4 ]
[ x4*x5, x3, x2, x4*x1, x3^2, x1*x4*x1*x4 ]
[ x2*x5, x3, x4*x1*x4, x4, x3^2, x1*x4*x1*x4 ]
[ x4*x5, x3, x2*x4, x4*x1*x4, x3^2, x1*x4*x1*x4 ]
[ x4*x1*x4*x5, x3, x2*x4*x1*x4, x4, x3^2, x1*x4*x1*x4 ]
[ x4*x5, x3, x2*x4, x4*x1, x3^2, x1*x4*x1*x4 ]
[ x3^3*x5, x2, x4*x1*x4, x4, x3^2, x1*x4*x1*x4 ]
[ x4*x5, x3*x4, x2, x4*x1*x4, x3^2, x1*x4*x1*x4 ]
[ x4*x1*x4*x5, x3*x4*x1*x4, x2, x4, x3^2, x1*x4*x1*x4 ]
[ x4*x5, x3*x4, x2, x4*x1, x3^2, x1*x4*x1*x4 ]
[ x2*x5, x2*x3, x4*x1*x4, x4, x3^2, x1*x4*x1*x4 ]
[ x4*x5, x3*x4, x2*x4, x4*x1*x4, x3^2, x1*x4*x1*x4 ]
[ x4*x1*x4*x5, x3*x4*x1*x4, x2*x4*x1*x4, x4, x3^2, x1*x4*x1*x4 ]
[ x4*x5, x3*x4, x2*x4, x4*x1, x3^2, x1*x4*x1*x4 ]
[ x4, x2, x1, x1*x2*x1*x2, x2*x3*x2*x3, x1^3*x2*x1*x2 ]
[ x4, x2, x3, x1*x2*x1*x2, x2*x3*x2*x3, x1^3*x2*x1*x2 ]
[ x4, x2, x1*x3, x1*x2*x1*x2, x2*x3*x2*x3, x1^3*x2*x1*x2 ]
[ x4, x1, x3, x1*x2*x1*x2, x2*x3*x2*x3, x1^3*x2*x1*x2 ]
[ x4, x2*x3, x1, x1*x2*x1*x2, x2*x3*x2*x3, x1^3*x2*x1*x2 ]
[ x4, x2*x1, x3, x1*x2*x1*x2, x2*x3*x2*x3, x1^3*x2*x1*x2 ]
[ x4, x2*x3, x1*x3, x1*x2*x1*x2, x2*x3*x2*x3, x1^3*x2*x1*x2 ]
[ x2, x1, x3, x1*x2*x1*x2, x2*x3*x2*x3, x1^3*x2*x1*x2 ]
[ x3*x4, x2, x1, x1*x2*x1*x2, x2*x3*x2*x3, x1^3*x2*x1*x2 ]
[ x1^3*x4, x2, x3, x1*x2*x1*x2, x2*x3*x2*x3, x1^3*x2*x1*x2 ]
[ x3*x4, x2, x1*x3, x1*x2*x1*x2, x2*x3*x2*x3, x1^3*x2*x1*x2 ]
[ x2*x4, x1, x3, x1*x2*x1*x2, x2*x3*x2*x3, x1^3*x2*x1*x2 ]
[ x3*x4, x2*x3, x1, x1*x2*x1*x2, x2*x3*x2*x3, x1^3*x2*x1*x2 ]
[ x1^3*x4, x2*x1, x3, x1*x2*x1*x2, x2*x3*x2*x3, x1^3*x2*x1*x2 ]
[ x3*x4, x2*x3, x1*x3, x1*x2*x1*x2, x2*x3*x2*x3, x1^3*x2*x1*x2 ]
[ x4, x1, x2, x4^2, x3*x4*x3*x4, x2^2 ]
[ x4, x1, x1*x3, x4^2, x3*x4*x3*x4, x2^2 ]
[ x4, x1, x2*x1*x3, x4^2, x3*x4*x3*x4, x2^2 ]
[ x4, x2, x1*x3, x4^2, x3*x4*x3*x4, x2^2 ]
[ x4, x3, x2, x4^2, x3*x4*x3*x4, x2^2 ]
[ x4, x1*x2, x1*x3, x4^2, x3*x4*x3*x4, x2^2 ]
[ x4, x3, x2*x1*x3, x4^2, x3*x4*x3*x4, x2^2 ]
[ x1, x2, x1*x3, x4^2, x3*x4*x3*x4, x2^2 ]
[ x4*x1*x3, x1, x2, x4^2, x3*x4*x3*x4, x2^2 ]
[ x2*x4, x1, x1*x3, x4^2, x3*x4*x3*x4, x2^2 ]
[ x4*x1*x3, x1, x2*x1*x3, x4^2, x3*x4*x3*x4, x2^2 ]
[ x4*x1, x2, x1*x3, x4^2, x3*x4*x3*x4, x2^2 ]
[ x4*x1*x3, x3, x2, x4^2, x3*x4*x3*x4, x2^2 ]
[ x2*x4, x1*x2, x1*x3, x4^2, x3*x4*x3*x4, x2^2 ]
[ x4*x1*x3, x3, x2*x1*x3, x4^2, x3*x4*x3*x4, x2^2 ]
[ x3*x4, x2, x2*x1*x2^3, x2^2, x2^3*x3*x2*x3, x1*x2*x1*x2^3 ]
[ x3*x4, x2, x3, x2^2, x2^3*x3*x2*x3, x1*x2*x1*x2^3 ]
[ x3*x4, x2, x2*x1*x2^3*x3, x2^2, x2^3*x3*x2*x3, x1*x2*x1*x2^3 ]
[ x3*x4, x2*x1*x2^3, x3, x2^2, x2^3*x3*x2*x3, x1*x2*x1*x2^3 ]
[ x3*x4, x2*x3, x2*x1*x2^3, x2^2, x2^3*x3*x2*x3, x1*x2*x1*x2^3 ]
[ x3*x4, x1*x2, x3, x2^2, x2^3*x3*x2*x3, x1*x2*x1*x2^3 ]
[ x3*x4, x2*x3, x2*x1*x2^3*x3, x2^2, x2^3*x3*x2*x3, x1*x2*x1*x2^3 ]
[ x2, x2*x1*x2^3, x3, x2^2, x2^3*x3*x2*x3, x1*x2*x1*x2^3 ]
[ x4, x2, x2*x1*x2^3, x2^2, x2^3*x3*x2*x3, x1*x2*x1*x2^3 ]
[ x2*x1*x2^3*x3*x4, x2, x3, x2^2, x2^3*x3*x2*x3, x1*x2*x1*x2^3 ]
[ x4, x2, x2*x1*x2^3*x3, x2^2, x2^3*x3*x2*x3, x1*x2*x1*x2^3 ]
[ x2^3*x3*x4, x2*x1*x2^3, x3, x2^2, x2^3*x3*x2*x3, x1*x2*x1*x2^3 ]
[ x4, x2*x3, x2*x1*x2^3, x2^2, x2^3*x3*x2*x3, x1*x2*x1*x2^3 ]
[ x2*x1*x2^3*x3*x4, x1*x2, x3, x2^2, x2^3*x3*x2*x3, x1*x2*x1*x2^3 ]
[ x4, x2*x3, x2*x1*x2^3*x3, x2^2, x2^3*x3*x2*x3, x1*x2*x1*x2^3 ]
[ x2*x4, x2, x1, x1^2, x3^2, x1^3*x2*x1*x2 ]
[ x2*x4, x2, x3, x1^2, x3^2, x1^3*x2*x1*x2 ]
[ x2*x4, x2, x1*x3, x1^2, x3^2, x1^3*x2*x1*x2 ]
[ x2*x4, x1, x3, x1^2, x3^2, x1^3*x2*x1*x2 ]
[ x2*x4, x2*x3, x1, x1^2, x3^2, x1^3*x2*x1*x2 ]
[ x2*x4, x2*x1, x3, x1^2, x3^2, x1^3*x2*x1*x2 ]
[ x2*x4, x2*x3, x1*x3, x1^2, x3^2, x1^3*x2*x1*x2 ]
[ x2, x1, x3, x1^2, x3^2, x1^3*x2*x1*x2 ]
[ x2*x3*x4, x2, x1, x1^2, x3^2, x1^3*x2*x1*x2 ]
[ x1^3*x2*x4, x2, x3, x1^2, x3^2, x1^3*x2*x1*x2 ]
[ x2*x3*x4, x2, x1*x3, x1^2, x3^2, x1^3*x2*x1*x2 ]
[ x4, x1, x3, x1^2, x3^2, x1^3*x2*x1*x2 ]
[ x2*x3*x4, x2*x3, x1, x1^2, x3^2, x1^3*x2*x1*x2 ]
[ x1^3*x2*x4, x2*x1, x3, x1^2, x3^2, x1^3*x2*x1*x2 ]
[ x2*x3*x4, x2*x3, x1*x3, x1^2, x3^2, x1^3*x2*x1*x2 ]
[ x3*x4, x2, x1, x1^2, x1^3*x3*x1*x3, x2^2 ]
[ x3*x4, x2, x3, x1^2, x1^3*x3*x1*x3, x2^2 ]
[ x3*x4, x2, x1*x3, x1^2, x1^3*x3*x1*x3, x2^2 ]
[ x3*x4, x1, x3, x1^2, x1^3*x3*x1*x3, x2^2 ]
[ x3*x4, x2*x3, x1, x1^2, x1^3*x3*x1*x3, x2^2 ]
[ x3*x4, x2*x1, x3, x1^2, x1^3*x3*x1*x3, x2^2 ]
[ x3*x4, x2*x3, x1*x3, x1^2, x1^3*x3*x1*x3, x2^2 ]
[ x2, x1, x3, x1^2, x1^3*x3*x1*x3, x2^2 ]
[ x4, x2, x1, x1^2, x1^3*x3*x1*x3, x2^2 ]
[ x1^3*x3*x4, x2, x3, x1^2, x1^3*x3*x1*x3, x2^2 ]
[ x4, x2, x1*x3, x1^2, x1^3*x3*x1*x3, x2^2 ]
[ x2*x3*x4, x1, x3, x1^2, x1^3*x3*x1*x3, x2^2 ]
[ x4, x2*x3, x1, x1^2, x1^3*x3*x1*x3, x2^2 ]
[ x1^3*x3*x4, x2*x1, x3, x1^2, x1^3*x3*x1*x3, x2^2 ]
[ x4, x2*x3, x1*x3, x1^2, x1^3*x3*x1*x3, x2^2 ]
[ x4, x2*x1*x2, x2, x4^2, x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x4, x2*x1*x2, x2*x3, x4^2, x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x4, x2*x1*x2, x3, x4^2, x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x4, x2, x2*x3, x4^2, x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x4, x2*x1*x3, x2, x4^2, x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x4, x2*x1, x2*x3, x4^2, x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x4, x2*x1*x3, x3, x4^2, x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x2*x1*x2, x2, x2*x3, x4^2, x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x4*x2*x3, x2*x1*x2, x2, x4^2, x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x4*x2, x2*x1*x2, x2*x3, x4^2, x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x4*x2*x3, x2*x1*x2, x3, x4^2, x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x2*x1*x2*x4, x2, x2*x3, x4^2, x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x4*x2*x3, x2*x1*x3, x2, x4^2, x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x4*x2, x2*x1, x2*x3, x4^2, x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x4*x2*x3, x2*x1*x3, x3, x4^2, x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x1*x3*x1*x3*x4, x2, x1*x2^2, x1*x4*x1*x4, x1*x3*x1*x3, x2^2 ]
[ x1*x3*x1*x3*x4, x2, x2^2*x3, x1*x4*x1*x4, x1*x3*x1*x3, x2^2 ]
[ x1*x3*x1*x3*x4, x2, x1*x3, x1*x4*x1*x4, x1*x3*x1*x3, x2^2 ]
[ x1*x3*x1*x3*x4, x1*x2^2, x2^2*x3, x1*x4*x1*x4, x1*x3*x1*x3, x2^2 ]
[ x1*x3*x1*x3*x4, x1*x2*x1*x3, x1*x2^2, x1*x4*x1*x4, x1*x3*x1*x3, x2^2 ]
[ x1*x3*x1*x3*x4, x1*x2, x2^2*x3, x1*x4*x1*x4, x1*x3*x1*x3, x2^2 ]
[ x1*x3*x1*x3*x4, x1*x2*x1*x3, x1*x3, x1*x4*x1*x4, x1*x3*x1*x3, x2^2 ]
[ x2, x1*x2^2, x2^2*x3, x1*x4*x1*x4, x1*x3*x1*x3, x2^2 ]
[ x2^2*x3*x1*x4*x1, x2, x1*x2^2, x1*x4*x1*x4, x1*x3*x1*x3, x2^2 ]
[ x1*x2^2*x3*x1*x3*x4*x1, x2, x2^2*x3, x1*x4*x1*x4, x1*x3*x1*x3, x2^2 ]
[ x2^2*x3*x1*x4*x1, x2, x1*x3, x1*x4*x1*x4, x1*x3*x1*x3, x2^2 ]
[ x1*x2*x3*x1*x3*x4, x1*x2^2, x2^2*x3, x1*x4*x1*x4, x1*x3*x1*x3, x2^2 ]
[ x2^2*x3*x1*x4*x1, x1*x2*x1*x3, x1*x2^2, x1*x4*x1*x4, x1*x3*x1*x3, x2^2 ]
[ x1*x2^2*x3*x1*x3*x4*x1, x1*x2, x2^2*x3, x1*x4*x1*x4, x1*x3*x1*x3, x2^2 ]
[ x2^2*x3*x1*x4*x1, x1*x2*x1*x3, x1*x3, x1*x4*x1*x4, x1*x3*x1*x3, x2^2 ]
[ x4, x1^2*x2, x1, x2*x3*x2*x3, x2^3*x3*x2*x3, x1^2 ]
[ x4, x1^2*x2, x2^3*x3*x2, x2*x3*x2*x3, x2^3*x3*x2*x3, x1^2 ]
[ x4, x1^2*x2, x1*x2^3*x3*x2, x2*x3*x2*x3, x2^3*x3*x2*x3, x1^2 ]
[ x4, x1, x2^3*x3*x2, x2*x3*x2*x3, x2^3*x3*x2*x3, x1^2 ]
[ x4, x1^2*x3*x2, x1, x2*x3*x2*x3, x2^3*x3*x2*x3, x1^2 ]
[ x4, x1^3*x2, x2^3*x3*x2, x2*x3*x2*x3, x2^3*x3*x2*x3, x1^2 ]
[ x4, x1^2*x3*x2, x1*x2^3*x3*x2, x2*x3*x2*x3, x2^3*x3*x2*x3, x1^2 ]
[ x1^2*x2, x1, x2^3*x3*x2, x2*x3*x2*x3, x2^3*x3*x2*x3, x1^2 ]
[ x2^3*x3*x2*x4, x1^2*x2, x1, x2*x3*x2*x3, x2^3*x3*x2*x3, x1^2 ]
[ x1*x4, x1^2*x2, x2^3*x3*x2, x2*x3*x2*x3, x2^3*x3*x2*x3, x1^2 ]
[ x2^3*x3*x2*x4, x1^2*x2, x1*x2^3*x3*x2, x2*x3*x2*x3, x2^3*x3*x2*x3, x1^2 ]
[ x1^2*x2^2*x3*x2*x3*x4, x1, x2^3*x3*x2, x2*x3*x2*x3, x2^3*x3*x2*x3, x1^2 ]
[ x2^3*x3*x2*x4, x1^2*x3*x2, x1, x2*x3*x2*x3, x2^3*x3*x2*x3, x1^2 ]
[ x1*x4, x1^3*x2, x2^3*x3*x2, x2*x3*x2*x3, x2^3*x3*x2*x3, x1^2 ]
[ x2^3*x3*x2*x4, x1^2*x3*x2, x1*x2^3*x3*x2, x2*x3*x2*x3, x2^3*x3*x2*x3, x1^2 ]
[ x1*x4, x2, x1, x1^2*x4^2, x1^2, x1^2*x2^2 ]
[ x1*x4, x2, x3, x1^2*x4^2, x1^2, x1^2*x2^2 ]
[ x1*x4, x2, x1*x3, x1^2*x4^2, x1^2, x1^2*x2^2 ]
[ x1*x4, x1, x3, x1^2*x4^2, x1^2, x1^2*x2^2 ]
[ x1*x4, x2*x3, x1, x1^2*x4^2, x1^2, x1^2*x2^2 ]
[ x1*x4, x2*x1, x3, x1^2*x4^2, x1^2, x1^2*x2^2 ]
[ x1*x4, x2*x3, x1*x3, x1^2*x4^2, x1^2, x1^2*x2^2 ]
[ x2, x1, x3, x1^2*x4^2, x1^2, x1^2*x2^2 ]
[ x1*x3*x4, x2, x1, x1^2*x4^2, x1^2, x1^2*x2^2 ]
[ x1^2*x4, x2, x3, x1^2*x4^2, x1^2, x1^2*x2^2 ]
[ x1*x3*x4, x2, x1*x3, x1^2*x4^2, x1^2, x1^2*x2^2 ]
[ x1*x4*x2, x1, x3, x1^2*x4^2, x1^2, x1^2*x2^2 ]
[ x1*x3*x4, x2*x3, x1, x1^2*x4^2, x1^2, x1^2*x2^2 ]
[ x1^2*x4, x2*x1, x3, x1^2*x4^2, x1^2, x1^2*x2^2 ]
[ x1*x3*x4, x2*x3, x1*x3, x1^2*x4^2, x1^2, x1^2*x2^2 ]
[ x1^2*x4, x1*x2, x1, x3*x4*x3*x4, x2^2, x1^2 ]
[ x1^2*x4, x1*x2, x4*x3*x4, x3*x4*x3*x4, x2^2, x1^2 ]
[ x1^2*x4, x1*x2, x1*x4*x3*x4, x3*x4*x3*x4, x2^2, x1^2 ]
[ x1^2*x4, x1, x4*x3*x4, x3*x4*x3*x4, x2^2, x1^2 ]
[ x1^2*x4, x1*x2*x4*x3*x4, x1, x3*x4*x3*x4, x2^2, x1^2 ]
[ x1^2*x4, x2, x4*x3*x4, x3*x4*x3*x4, x2^2, x1^2 ]
[ x1^2*x4, x1*x2*x4*x3*x4, x1*x4*x3*x4, x3*x4*x3*x4, x2^2, x1^2 ]
[ x1*x2, x1, x4*x3*x4, x3*x4*x3*x4, x2^2, x1^2 ]
[ x1^2*x3*x4, x1*x2, x1, x3*x4*x3*x4, x2^2, x1^2 ]
[ x1*x4, x1*x2, x4*x3*x4, x3*x4*x3*x4, x2^2, x1^2 ]
[ x1^2*x3*x4, x1*x2, x1*x4*x3*x4, x3*x4*x3*x4, x2^2, x1^2 ]
[ x1^3*x2^3*x4, x1, x4*x3*x4, x3*x4*x3*x4, x2^2, x1^2 ]
[ x1^2*x3*x4, x1*x2*x4*x3*x4, x1, x3*x4*x3*x4, x2^2, x1^2 ]
[ x1*x4, x2, x4*x3*x4, x3*x4*x3*x4, x2^2, x1^2 ]
[ x1^2*x3*x4, x1*x2*x4*x3*x4, x1*x4*x3*x4, x3*x4*x3*x4, x2^2, x1^2 ]
[ x2*x3*x2*x3*x4, x1^2*x3*x2*x3, x1, x1^2, x1^3*x4*x1*x4, x2*x3*x2*x3 ]
[ x2*x3*x2*x3*x4, x1^2*x3*x2*x3, x3, x1^2, x1^3*x4*x1*x4, x2*x3*x2*x3 ]
[ x2*x3*x2*x3*x4, x1^2*x3*x2*x3, x1*x3, x1^2, x1^3*x4*x1*x4, x2*x3*x2*x3 ]
[ x2*x3*x2*x3*x4, x1, x3, x1^2, x1^3*x4*x1*x4, x2*x3*x2*x3 ]
[ x2*x3*x2*x3*x4, x1^2*x3*x2, x1, x1^2, x1^3*x4*x1*x4, x2*x3*x2*x3 ]
[ x2*x3*x2*x3*x4, x1^3*x3*x2*x3, x3, x1^2, x1^3*x4*x1*x4, x2*x3*x2*x3 ]
[ x2*x3*x2*x3*x4, x1^2*x3*x2, x1*x3, x1^2, x1^3*x4*x1*x4, x2*x3*x2*x3 ]
[ x1^2*x3*x2*x3, x1, x3, x1^2, x1^3*x4*x1*x4, x2*x3*x2*x3 ]
[ x1*x2*x3*x2*x4*x1, x1^2*x3*x2*x3, x1, x1^2, x1^3*x4*x1*x4, x2*x3*x2*x3 ]
[ x2*x3*x2*x3*x4*x1, x1^2*x3*x2*x3, x3, x1^2, x1^3*x4*x1*x4, x2*x3*x2*x3 ]
[ x1*x2*x3*x2*x4*x1, x1^2*x3*x2*x3, x1*x3, x1^2, x1^3*x4*x1*x4, x2*x3*x2*x3 ]
[ x1^2*x3*x2*x3*x4, x1, x3, x1^2, x1^3*x4*x1*x4, x2*x3*x2*x3 ]
[ x1*x2*x3*x2*x4*x1, x1^2*x3*x2, x1, x1^2, x1^3*x4*x1*x4, x2*x3*x2*x3 ]
[ x2*x3*x2*x3*x4*x1, x1^3*x3*x2*x3, x3, x1^2, x1^3*x4*x1*x4, x2*x3*x2*x3 ]
[ x1*x2*x3*x2*x4*x1, x1^2*x3*x2, x1*x3, x1^2, x1^3*x4*x1*x4, x2*x3*x2*x3 ]
[ x1^2*x2^2*x4, x2, x2*x1*x2^3, x1^2, x2^2, x1^3*x2*x1*x2^3 ]
[ x1^2*x2^2*x4, x2, x1^3*x2*x1*x2^2*x3, x1^2, x2^2, x1^3*x2*x1*x2^3 ]
[ x1^2*x2^2*x4, x2, x1*x2^3*x3, x1^2, x2^2, x1^3*x2*x1*x2^3 ]
[ x1^2*x2^2*x4, x2*x1*x2^3, x1^3*x2*x1*x2^2*x3, x1^2, x2^2, x1^3*x2*x1*x2^3 ]
[ x1^2*x2^2*x4, x1^3*x2*x1*x2^3*x3, x2*x1*x2^3, x1^2, x2^2, x1^3*x2*x1*x2^3 ]
[ x1^2*x2^2*x4, x1*x2, x1^3*x2*x1*x2^2*x3, x1^2, x2^2, x1^3*x2*x1*x2^3 ]
[ x1^2*x2^2*x4, x1^3*x2*x1*x2^3*x3, x1*x2^3*x3, x1^2, x2^2, x1^3*x2*x1*x2^3 ]
[ x2, x2*x1*x2^3, x1^3*x2*x1*x2^2*x3, x1^2, x2^2, x1^3*x2*x1*x2^3 ]
[ x1*x2*x1*x2^2*x3*x4, x2, x2*x1*x2^3, x1^2, x2^2, x1^3*x2*x1*x2^3 ]
[ x2*x1*x2*x4, x2, x1^3*x2*x1*x2^2*x3, x1^2, x2^2, x1^3*x2*x1*x2^3 ]
[ x1*x2*x1*x2^2*x3*x4, x2, x1*x2^3*x3, x1^2, x2^2, x1^3*x2*x1*x2^3 ]
[ x1^2*x2*x4, x2*x1*x2^3, x1^3*x2*x1*x2^2*x3, x1^2, x2^2, x1^3*x2*x1*x2^3 ]
[ x1*x2*x1*x2^2*x3*x4, x1^3*x2*x1*x2^3*x3, x2*x1*x2^3, x1^2, x2^2,
x1^3*x2*x1*x2^3 ]
[ x2*x1*x2*x4, x1*x2, x1^3*x2*x1*x2^2*x3, x1^2, x2^2, x1^3*x2*x1*x2^3 ]
[ x1*x2*x1*x2^2*x3*x4, x1^3*x2*x1*x2^3*x3, x1*x2^3*x3, x1^2, x2^2,
x1^3*x2*x1*x2^3 ]
[ x4, x2, x3*x1*x3, x4^2, x2*x4*x2*x4^3, x1*x3*x1*x3 ]
[ x4, x2, x3, x4^2, x2*x4*x2*x4^3, x1*x3*x1*x3 ]
[ x4, x2, x3*x1, x4^2, x2*x4*x2*x4^3, x1*x3*x1*x3 ]
[ x4, x3*x1*x3, x3, x4^2, x2*x4*x2*x4^3, x1*x3*x1*x3 ]
[ x4, x2*x3, x3*x1*x3, x4^2, x2*x4*x2*x4^3, x1*x3*x1*x3 ]
[ x4, x2*x3*x1*x3, x3, x4^2, x2*x4*x2*x4^3, x1*x3*x1*x3 ]
[ x4, x2*x3, x3*x1, x4^2, x2*x4*x2*x4^3, x1*x3*x1*x3 ]
[ x2, x3*x1*x3, x3, x4^2, x2*x4*x2*x4^3, x1*x3*x1*x3 ]
[ x3*x4, x2, x3*x1*x3, x4^2, x2*x4*x2*x4^3, x1*x3*x1*x3 ]
[ x3*x1*x3*x4, x2, x3, x4^2, x2*x4*x2*x4^3, x1*x3*x1*x3 ]
[ x3*x4, x2, x3*x1, x4^2, x2*x4*x2*x4^3, x1*x3*x1*x3 ]
[ x4*x2, x3*x1*x3, x3, x4^2, x2*x4*x2*x4^3, x1*x3*x1*x3 ]
[ x3*x4, x2*x3, x3*x1*x3, x4^2, x2*x4*x2*x4^3, x1*x3*x1*x3 ]
[ x3*x1*x3*x4, x2*x3*x1*x3, x3, x4^2, x2*x4*x2*x4^3, x1*x3*x1*x3 ]
[ x3*x4, x2*x3, x3*x1, x4^2, x2*x4*x2*x4^3, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x4, x1^2*x2, x1, x2^2, x1*x3*x1*x3, x1^3*x3*x1*x3 ]
[ x1*x3*x1*x3*x4, x1^2*x2, x3, x2^2, x1*x3*x1*x3, x1^3*x3*x1*x3 ]
[ x1*x3*x1*x3*x4, x1^2*x2, x1*x3, x2^2, x1*x3*x1*x3, x1^3*x3*x1*x3 ]
[ x1*x3*x1*x3*x4, x1, x3, x2^2, x1*x3*x1*x3, x1^3*x3*x1*x3 ]
[ x1*x3*x1*x3*x4, x1^2*x2*x3, x1, x2^2, x1*x3*x1*x3, x1^3*x3*x1*x3 ]
[ x1*x3*x1*x3*x4, x1^3*x2, x3, x2^2, x1*x3*x1*x3, x1^3*x3*x1*x3 ]
[ x1*x3*x1*x3*x4, x1^2*x2*x3, x1*x3, x2^2, x1*x3*x1*x3, x1^3*x3*x1*x3 ]
[ x1^2*x2, x1, x3, x2^2, x1*x3*x1*x3, x1^3*x3*x1*x3 ]
[ x1*x3*x1*x4, x1^2*x2, x1, x2^2, x1*x3*x1*x3, x1^3*x3*x1*x3 ]
[ x1*x4, x1^2*x2, x3, x2^2, x1*x3*x1*x3, x1^3*x3*x1*x3 ]
[ x1*x3*x1*x4, x1^2*x2, x1*x3, x2^2, x1*x3*x1*x3, x1^3*x3*x1*x3 ]
[ x1^2*x2*x4, x1, x3, x2^2, x1*x3*x1*x3, x1^3*x3*x1*x3 ]
[ x1*x3*x1*x4, x1^2*x2*x3, x1, x2^2, x1*x3*x1*x3, x1^3*x3*x1*x3 ]
[ x1*x4, x1^3*x2, x3, x2^2, x1*x3*x1*x3, x1^3*x3*x1*x3 ]
[ x1*x3*x1*x4, x1^2*x2*x3, x1*x3, x2^2, x1*x3*x1*x3, x1^3*x3*x1*x3 ]
[ x1*x3*x1*x3*x4, x4*x1*x4, x1*x2*x3, x2^2, x1*x4*x1*x4, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x4, x4*x1*x4, x3, x2^2, x1*x4*x1*x4, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x4, x4*x1*x4, x1*x2, x2^2, x1*x4*x1*x4, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x4, x1*x2*x3, x3, x2^2, x1*x4*x1*x4, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x4, x1*x3*x1*x4*x1*x4, x1*x2*x3, x2^2, x1*x4*x1*x4, x1*x3*x1*x3
]
[ x1*x3*x1*x3*x4, x2*x3*x1*x4*x1*x4, x3, x2^2, x1*x4*x1*x4, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x4, x1*x3*x1*x4*x1*x4, x1*x2, x2^2, x1*x4*x1*x4, x1*x3*x1*x3 ]
[ x4*x1*x4, x1*x2*x3, x3, x2^2, x1*x4*x1*x4, x1*x3*x1*x3 ]
[ x3*x1*x4*x1, x4*x1*x4, x1*x2*x3, x2^2, x1*x4*x1*x4, x1*x3*x1*x3 ]
[ x2*x3*x1*x4, x4*x1*x4, x3, x2^2, x1*x4*x1*x4, x1*x3*x1*x3 ]
[ x3*x1*x4*x1, x4*x1*x4, x1*x2, x2^2, x1*x4*x1*x4, x1*x3*x1*x3 ]
[ x3*x1*x3*x4, x1*x2*x3, x3, x2^2, x1*x4*x1*x4, x1*x3*x1*x3 ]
[ x3*x1*x4*x1, x1*x3*x1*x4*x1*x4, x1*x2*x3, x2^2, x1*x4*x1*x4, x1*x3*x1*x3 ]
[ x2*x3*x1*x4, x2*x3*x1*x4*x1*x4, x3, x2^2, x1*x4*x1*x4, x1*x3*x1*x3 ]
[ x3*x1*x4*x1, x1*x3*x1*x4*x1*x4, x1*x2, x2^2, x1*x4*x1*x4, x1*x3*x1*x3 ]
[ x1^3*x3*x1*x3*x4, x2, x1^3*x2*x3*x1*x4*x1*x4, x1^2, x1^2*x3*x1*x3*x4*x1*x4,
x1^3*x3*x1*x3 ]
[ x1^3*x3*x1*x3*x4, x2, x3, x1^2, x1^2*x3*x1*x3*x4*x1*x4, x1^3*x3*x1*x3 ]
[ x1^3*x3*x1*x3*x4, x2, x2*x4*x1*x4, x1^2, x1^2*x3*x1*x3*x4*x1*x4,
x1^3*x3*x1*x3 ]
[ x1^3*x3*x1*x3*x4, x1^3*x2*x3*x1*x4*x1*x4, x3, x1^2, x1^2*x3*x1*x3*x4*x1*x4,
x1^3*x3*x1*x3 ]
[ x1^3*x3*x1*x3*x4, x2*x3, x1^3*x2*x3*x1*x4*x1*x4, x1^2,
x1^2*x3*x1*x3*x4*x1*x4, x1^3*x3*x1*x3 ]
[ x1^3*x3*x1*x3*x4, x1^3*x3*x1*x4*x1*x4, x3, x1^2, x1^2*x3*x1*x3*x4*x1*x4,
x1^3*x3*x1*x3 ]
[ x1^3*x3*x1*x3*x4, x2*x3, x2*x4*x1*x4, x1^2, x1^2*x3*x1*x3*x4*x1*x4,
x1^3*x3*x1*x3 ]
[ x2, x1^3*x2*x3*x1*x4*x1*x4, x3, x1^2, x1^2*x3*x1*x3*x4*x1*x4, x1^3*x3*x1*x3
]
[ x1^2*x3*x1*x4*x1, x2, x1^3*x2*x3*x1*x4*x1*x4, x1^2, x1^2*x3*x1*x3*x4*x1*x4,
x1^3*x3*x1*x3 ]
[ x2*x3*x4*x1, x2, x3, x1^2, x1^2*x3*x1*x3*x4*x1*x4, x1^3*x3*x1*x3 ]
[ x1^2*x3*x1*x4*x1, x2, x2*x4*x1*x4, x1^2, x1^2*x3*x1*x3*x4*x1*x4,
x1^3*x3*x1*x3 ]
[ x2*x4, x1^3*x2*x3*x1*x4*x1*x4, x3, x1^2, x1^2*x3*x1*x3*x4*x1*x4,
x1^3*x3*x1*x3 ]
[ x1^2*x3*x1*x4*x1, x2*x3, x1^3*x2*x3*x1*x4*x1*x4, x1^2,
x1^2*x3*x1*x3*x4*x1*x4, x1^3*x3*x1*x3 ]
[ x2*x3*x4*x1, x1^3*x3*x1*x4*x1*x4, x3, x1^2, x1^2*x3*x1*x3*x4*x1*x4,
x1^3*x3*x1*x3 ]
[ x1^2*x3*x1*x4*x1, x2*x3, x2*x4*x1*x4, x1^2, x1^2*x3*x1*x3*x4*x1*x4,
x1^3*x3*x1*x3 ]
[ x1^2*x4, x2, x1*x2^2, x1^2, x2^2, x1*x3*x1*x3 ]
[ x1^2*x4, x2, x3, x1^2, x2^2, x1*x3*x1*x3 ]
[ x1^2*x4, x2, x1*x2^2*x3, x1^2, x2^2, x1*x3*x1*x3 ]
[ x1^2*x4, x1*x2^2, x3, x1^2, x2^2, x1*x3*x1*x3 ]
[ x1^2*x4, x2*x3, x1*x2^2, x1^2, x2^2, x1*x3*x1*x3 ]
[ x1^2*x4, x1*x2^3, x3, x1^2, x2^2, x1*x3*x1*x3 ]
[ x1^2*x4, x2*x3, x1*x2^2*x3, x1^2, x2^2, x1*x3*x1*x3 ]
[ x2, x1*x2^2, x3, x1^2, x2^2, x1*x3*x1*x3 ]
[ x1^2*x3*x4, x2, x1*x2^2, x1^2, x2^2, x1*x3*x1*x3 ]
[ x1^3*x2^2*x4, x2, x3, x1^2, x2^2, x1*x3*x1*x3 ]
[ x1^2*x3*x4, x2, x1*x2^2*x3, x1^2, x2^2, x1*x3*x1*x3 ]
[ x1^2*x2^3*x4, x1*x2^2, x3, x1^2, x2^2, x1*x3*x1*x3 ]
[ x1^2*x3*x4, x2*x3, x1*x2^2, x1^2, x2^2, x1*x3*x1*x3 ]
[ x1^3*x2^2*x4, x1*x2^3, x3, x1^2, x2^2, x1*x3*x1*x3 ]
[ x1^2*x3*x4, x2*x3, x1*x2^2*x3, x1^2, x2^2, x1*x3*x1*x3 ]
[ x4, x2, x1, x4^2, x3*x4*x3*x4, x2*x3*x2*x3 ]
[ x4, x2, x3, x4^2, x3*x4*x3*x4, x2*x3*x2*x3 ]
[ x4, x2, x1*x3, x4^2, x3*x4*x3*x4, x2*x3*x2*x3 ]
[ x4, x1, x3, x4^2, x3*x4*x3*x4, x2*x3*x2*x3 ]
[ x4, x2*x3, x1, x4^2, x3*x4*x3*x4, x2*x3*x2*x3 ]
[ x4, x1*x2, x3, x4^2, x3*x4*x3*x4, x2*x3*x2*x3 ]
[ x4, x2*x3, x1*x3, x4^2, x3*x4*x3*x4, x2*x3*x2*x3 ]
[ x2, x1, x3, x4^2, x3*x4*x3*x4, x2*x3*x2*x3 ]
[ x4*x3, x2, x1, x4^2, x3*x4*x3*x4, x2*x3*x2*x3 ]
[ x4*x1, x2, x3, x4^2, x3*x4*x3*x4, x2*x3*x2*x3 ]
[ x4*x3, x2, x1*x3, x4^2, x3*x4*x3*x4, x2*x3*x2*x3 ]
[ x2*x4, x1, x3, x4^2, x3*x4*x3*x4, x2*x3*x2*x3 ]
[ x4*x3, x2*x3, x1, x4^2, x3*x4*x3*x4, x2*x3*x2*x3 ]
[ x4*x1, x1*x2, x3, x4^2, x3*x4*x3*x4, x2*x3*x2*x3 ]
[ x4*x3, x2*x3, x1*x3, x4^2, x3*x4*x3*x4, x2*x3*x2*x3 ]
[ x4, x1*x3*x4*x3*x4, x2, x4^2, x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x4, x1*x3*x4*x3*x4, x1*x3, x4^2, x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x4, x1*x3*x4*x3*x4, x2*x1*x3, x4^2, x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x4, x2, x1*x3, x4^2, x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x4, x4*x3*x4, x2, x4^2, x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x4, x1*x2*x3*x4*x3*x4, x1*x3, x4^2, x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x4, x4*x3*x4, x2*x1*x3, x4^2, x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x1*x3*x4*x3*x4, x2, x1*x3, x4^2, x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x4*x1*x3, x1*x3*x4*x3*x4, x2, x4^2, x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x2*x4, x1*x3*x4*x3*x4, x1*x3, x4^2, x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x4*x1*x3, x1*x3*x4*x3*x4, x2*x1*x3, x4^2, x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x1*x4, x2, x1*x3, x4^2, x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x4*x1*x3, x4*x3*x4, x2, x4^2, x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x2*x4, x1*x2*x3*x4*x3*x4, x1*x3, x4^2, x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x4*x1*x3, x4*x3*x4, x2*x1*x3, x4^2, x3*x4*x3*x4, x1*x2*x1*x2 ]
[ x4, x2, x1, x4^2, x3*x4*x3*x4, x2^2 ]
[ x4, x2, x1*x2^3*x3, x4^2, x3*x4*x3*x4, x2^2 ]
[ x4, x2, x2^3*x3, x4^2, x3*x4*x3*x4, x2^2 ]
[ x4, x1, x1*x2^3*x3, x4^2, x3*x4*x3*x4, x2^2 ]
[ x4, x1*x3, x1, x4^2, x3*x4*x3*x4, x2^2 ]
[ x4, x1*x2, x1*x2^3*x3, x4^2, x3*x4*x3*x4, x2^2 ]
[ x4, x1*x3, x2^3*x3, x4^2, x3*x4*x3*x4, x2^2 ]
[ x2, x1, x1*x2^3*x3, x4^2, x3*x4*x3*x4, x2^2 ]
[ x2^3*x4*x1*x3, x2, x1, x4^2, x3*x4*x3*x4, x2^2 ]
[ x4*x1, x2, x1*x2^3*x3, x4^2, x3*x4*x3*x4, x2^2 ]
[ x2^3*x4*x1*x3, x2, x2^3*x3, x4^2, x3*x4*x3*x4, x2^2 ]
[ x2*x4, x1, x1*x2^3*x3, x4^2, x3*x4*x3*x4, x2^2 ]
[ x2^3*x4*x1*x3, x1*x3, x1, x4^2, x3*x4*x3*x4, x2^2 ]
[ x4*x1, x1*x2, x1*x2^3*x3, x4^2, x3*x4*x3*x4, x2^2 ]
[ x2^3*x4*x1*x3, x1*x3, x2^3*x3, x4^2, x3*x4*x3*x4, x2^2 ]
[ x4, x1, x2, x4^2, x3*x4*x3*x4, x2^2 ]
[ x4, x1, x2*x1*x3, x4^2, x3*x4*x3*x4, x2^2 ]
[ x4, x1, x1*x2^2*x3, x4^2, x3*x4*x3*x4, x2^2 ]
[ x4, x2, x2*x1*x3, x4^2, x3*x4*x3*x4, x2^2 ]
[ x4, x1*x2*x1*x3, x2, x4^2, x3*x4*x3*x4, x2^2 ]
[ x4, x1*x2, x2*x1*x3, x4^2, x3*x4*x3*x4, x2^2 ]
[ x4, x1*x2*x1*x3, x1*x2^2*x3, x4^2, x3*x4*x3*x4, x2^2 ]
[ x1, x2, x2*x1*x3, x4^2, x3*x4*x3*x4, x2^2 ]
[ x2*x4*x1*x3, x1, x2, x4^2, x3*x4*x3*x4, x2^2 ]
[ x2*x4, x1, x2*x1*x3, x4^2, x3*x4*x3*x4, x2^2 ]
[ x2*x4*x1*x3, x1, x1*x2^2*x3, x4^2, x3*x4*x3*x4, x2^2 ]
[ x4*x1, x2, x2*x1*x3, x4^2, x3*x4*x3*x4, x2^2 ]
[ x2*x4*x1*x3, x1*x2*x1*x3, x2, x4^2, x3*x4*x3*x4, x2^2 ]
[ x2*x4, x1*x2, x2*x1*x3, x4^2, x3*x4*x3*x4, x2^2 ]
[ x2*x4*x1*x3, x1*x2*x1*x3, x1*x2^2*x3, x4^2, x3*x4*x3*x4, x2^2 ]
[ x1^3*x2*x1*x2*x4, x2, x3*x1*x3, x1^2, x1^3*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x1^3*x2*x1*x2*x4, x2, x2*x1*x2*x3, x1^2, x1^3*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x1^3*x2*x1*x2*x4, x2, x2*x1*x2*x3*x1, x1^2, x1^3*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x1^3*x2*x1*x2*x4, x3*x1*x3, x2*x1*x2*x3, x1^2, x1^3*x3*x1*x3, x1^3*x2*x1*x2
]
[ x1^3*x2*x1*x2*x4, x1*x2*x3, x3*x1*x3, x1^2, x1^3*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x1^3*x2*x1*x2*x4, x2*x3*x1*x3, x2*x1*x2*x3, x1^2, x1^3*x3*x1*x3,
x1^3*x2*x1*x2 ]
[ x1^3*x2*x1*x2*x4, x1*x2*x3, x2*x1*x2*x3*x1, x1^2, x1^3*x3*x1*x3,
x1^3*x2*x1*x2 ]
[ x2, x3*x1*x3, x2*x1*x2*x3, x1^2, x1^3*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x1^3*x3*x4, x2, x3*x1*x3, x1^2, x1^3*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x1^2*x3*x1*x3*x4, x2, x2*x1*x2*x3, x1^2, x1^3*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x1^3*x3*x4, x2, x2*x1*x2*x3*x1, x1^2, x1^3*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x1^3*x2*x1*x4, x3*x1*x3, x2*x1*x2*x3, x1^2, x1^3*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x1^3*x3*x4, x1*x2*x3, x3*x1*x3, x1^2, x1^3*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x1^2*x3*x1*x3*x4, x2*x3*x1*x3, x2*x1*x2*x3, x1^2, x1^3*x3*x1*x3,
x1^3*x2*x1*x2 ]
[ x1^3*x3*x4, x1*x2*x3, x2*x1*x2*x3*x1, x1^2, x1^3*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x1^2*x4, x1*x2, x1, x3*x4*x3*x4, x2^2, x1^2*x2^2 ]
[ x1^2*x4, x1*x2, x4*x3*x4, x3*x4*x3*x4, x2^2, x1^2*x2^2 ]
[ x1^2*x4, x1*x2, x1*x4*x3*x4, x3*x4*x3*x4, x2^2, x1^2*x2^2 ]
[ x1^2*x4, x1, x4*x3*x4, x3*x4*x3*x4, x2^2, x1^2*x2^2 ]
[ x1^2*x4, x1*x2*x4*x3*x4, x1, x3*x4*x3*x4, x2^2, x1^2*x2^2 ]
[ x1^2*x4, x1*x2*x1, x4*x3*x4, x3*x4*x3*x4, x2^2, x1^2*x2^2 ]
[ x1^2*x4, x1*x2*x4*x3*x4, x1*x4*x3*x4, x3*x4*x3*x4, x2^2, x1^2*x2^2 ]
[ x1*x2, x1, x4*x3*x4, x3*x4*x3*x4, x2^2, x1^2*x2^2 ]
[ x1^2*x3*x4, x1*x2, x1, x3*x4*x3*x4, x2^2, x1^2*x2^2 ]
[ x1*x4, x1*x2, x4*x3*x4, x3*x4*x3*x4, x2^2, x1^2*x2^2 ]
[ x1^2*x3*x4, x1*x2, x1*x4*x3*x4, x3*x4*x3*x4, x2^2, x1^2*x2^2 ]
[ x2*x1*x4, x1, x4*x3*x4, x3*x4*x3*x4, x2^2, x1^2*x2^2 ]
[ x1^2*x3*x4, x1*x2*x4*x3*x4, x1, x3*x4*x3*x4, x2^2, x1^2*x2^2 ]
[ x1*x4, x1*x2*x1, x4*x3*x4, x3*x4*x3*x4, x2^2, x1^2*x2^2 ]
[ x1^2*x3*x4, x1*x2*x4*x3*x4, x1*x4*x3*x4, x3*x4*x3*x4, x2^2, x1^2*x2^2 ]
[ x1^3*x3*x1*x3*x4, x1*x2, x1*x2*x3*x1*x3, x1^2, x1^2*x2^2, x1^3*x3*x1*x3 ]
[ x1^3*x3*x1*x3*x4, x1*x2, x3, x1^2, x1^2*x2^2, x1^3*x3*x1*x3 ]
[ x1^3*x3*x1*x3*x4, x1*x2, x1*x2*x3*x1, x1^2, x1^2*x2^2, x1^3*x3*x1*x3 ]
[ x1^3*x3*x1*x3*x4, x1*x2*x3*x1*x3, x3, x1^2, x1^2*x2^2, x1^3*x3*x1*x3 ]
[ x1^3*x3*x1*x3*x4, x1*x2*x3, x1*x2*x3*x1*x3, x1^2, x1^2*x2^2, x1^3*x3*x1*x3 ]
[ x1^3*x3*x1*x3*x4, x1^2*x2^2*x3*x1*x3, x3, x1^2, x1^2*x2^2, x1^3*x3*x1*x3 ]
[ x1^3*x3*x1*x3*x4, x1*x2*x3, x1*x2*x3*x1, x1^2, x1^2*x2^2, x1^3*x3*x1*x3 ]
[ x1*x2, x1*x2*x3*x1*x3, x3, x1^2, x1^2*x2^2, x1^3*x3*x1*x3 ]
[ x1^3*x3*x1*x4, x1*x2, x1*x2*x3*x1*x3, x1^2, x1^2*x2^2, x1^3*x3*x1*x3 ]
[ x2*x4, x1*x2, x3, x1^2, x1^2*x2^2, x1^3*x3*x1*x3 ]
[ x1^3*x3*x1*x4, x1*x2, x1*x2*x3*x1, x1^2, x1^2*x2^2, x1^3*x3*x1*x3 ]
[ x1*x2*x4, x1*x2*x3*x1*x3, x3, x1^2, x1^2*x2^2, x1^3*x3*x1*x3 ]
[ x1^3*x3*x1*x4, x1*x2*x3, x1*x2*x3*x1*x3, x1^2, x1^2*x2^2, x1^3*x3*x1*x3 ]
[ x2*x4, x1^2*x2^2*x3*x1*x3, x3, x1^2, x1^2*x2^2, x1^3*x3*x1*x3 ]
[ x1^3*x3*x1*x4, x1*x2*x3, x1*x2*x3*x1, x1^2, x1^2*x2^2, x1^3*x3*x1*x3 ]
[ x1*x3^2*x4*x1, x2, x1*x3^2, x1*x4*x1*x4, x3^2, x2^2 ]
[ x1*x3^2*x4*x1, x2, x2*x3, x1*x4*x1*x4, x3^2, x2^2 ]
[ x1*x3^2*x4*x1, x2, x2*x3*x1, x1*x4*x1*x4, x3^2, x2^2 ]
[ x1*x3^2*x4*x1, x1*x3^2, x2*x3, x1*x4*x1*x4, x3^2, x2^2 ]
[ x1*x3^2*x4*x1, x2^2*x3, x1*x3^2, x1*x4*x1*x4, x3^2, x2^2 ]
[ x1*x3^2*x4*x1, x1*x2*x3^2, x2*x3, x1*x4*x1*x4, x3^2, x2^2 ]
[ x1*x3^2*x4*x1, x2^2*x3, x2*x3*x1, x1*x4*x1*x4, x3^2, x2^2 ]
[ x2, x1*x3^2, x2*x3, x1*x4*x1*x4, x3^2, x2^2 ]
[ x2*x3*x1*x4*x1, x2, x1*x3^2, x1*x4*x1*x4, x3^2, x2^2 ]
[ x1*x4, x2, x2*x3, x1*x4*x1*x4, x3^2, x2^2 ]
[ x2*x3*x1*x4*x1, x2, x2*x3*x1, x1*x4*x1*x4, x3^2, x2^2 ]
[ x1*x2*x3^2*x4*x1, x1*x3^2, x2*x3, x1*x4*x1*x4, x3^2, x2^2 ]
[ x2*x3*x1*x4*x1, x2^2*x3, x1*x3^2, x1*x4*x1*x4, x3^2, x2^2 ]
[ x1*x4, x1*x2*x3^2, x2*x3, x1*x4*x1*x4, x3^2, x2^2 ]
[ x2*x3*x1*x4*x1, x2^2*x3, x2*x3*x1, x1*x4*x1*x4, x3^2, x2^2 ]
[ x1^2*x4, x1*x2, x1, x3*x4*x3*x4, x2^2, x1^2 ]
[ x1^2*x4, x1*x2, x4*x3*x4, x3*x4*x3*x4, x2^2, x1^2 ]
[ x1^2*x4, x1*x2, x1*x4*x3*x4, x3*x4*x3*x4, x2^2, x1^2 ]
[ x1^2*x4, x1, x4*x3*x4, x3*x4*x3*x4, x2^2, x1^2 ]
[ x1^2*x4, x1*x2*x4*x3*x4, x1, x3*x4*x3*x4, x2^2, x1^2 ]
[ x1^2*x4, x2, x4*x3*x4, x3*x4*x3*x4, x2^2, x1^2 ]
[ x1^2*x4, x1*x2*x4*x3*x4, x1*x4*x3*x4, x3*x4*x3*x4, x2^2, x1^2 ]
[ x1*x2, x1, x4*x3*x4, x3*x4*x3*x4, x2^2, x1^2 ]
[ x1^2*x3*x4, x1*x2, x1, x3*x4*x3*x4, x2^2, x1^2 ]
[ x1^3*x4, x1*x2, x4*x3*x4, x3*x4*x3*x4, x2^2, x1^2 ]
[ x1^2*x3*x4, x1*x2, x1*x4*x3*x4, x3*x4*x3*x4, x2^2, x1^2 ]
[ x1^3*x2*x4, x1, x4*x3*x4, x3*x4*x3*x4, x2^2, x1^2 ]
[ x1^2*x3*x4, x1*x2*x4*x3*x4, x1, x3*x4*x3*x4, x2^2, x1^2 ]
[ x1^3*x4, x2, x4*x3*x4, x3*x4*x3*x4, x2^2, x1^2 ]
[ x1^2*x3*x4, x1*x2*x4*x3*x4, x1*x4*x3*x4, x3*x4*x3*x4, x2^2, x1^2 ]
[ x1^2*x4, x1*x2^3*x3^2, x1, x2^2, x2^2*x3^2, x1^2 ]
[ x1^2*x4, x1*x2^3*x3^2, x1^2*x3, x2^2, x2^2*x3^2, x1^2 ]
[ x1^2*x4, x1*x2^3*x3^2, x1^3*x3, x2^2, x2^2*x3^2, x1^2 ]
[ x1^2*x4, x1, x1^2*x3, x2^2, x2^2*x3^2, x1^2 ]
[ x1^2*x4, x1*x3*x2, x1, x2^2, x2^2*x3^2, x1^2 ]
[ x1^2*x4, x2^3*x3^2, x1^2*x3, x2^2, x2^2*x3^2, x1^2 ]
[ x1^2*x4, x1*x3*x2, x1^3*x3, x2^2, x2^2*x3^2, x1^2 ]
[ x1*x2^3*x3^2, x1, x1^2*x3, x2^2, x2^2*x3^2, x1^2 ]
[ x1^2*x2*x3*x2*x4, x1*x2^3*x3^2, x1, x2^2, x2^2*x3^2, x1^2 ]
[ x1*x4, x1*x2^3*x3^2, x1^2*x3, x2^2, x2^2*x3^2, x1^2 ]
[ x1^2*x2*x3*x2*x4, x1*x2^3*x3^2, x1^3*x3, x2^2, x2^2*x3^2, x1^2 ]
[ x1^3*x2^3*x3^2*x4, x1, x1^2*x3, x2^2, x2^2*x3^2, x1^2 ]
[ x1^2*x2*x3*x2*x4, x1*x3*x2, x1, x2^2, x2^2*x3^2, x1^2 ]
[ x1*x4, x2^3*x3^2, x1^2*x3, x2^2, x2^2*x3^2, x1^2 ]
[ x1^2*x2*x3*x2*x4, x1*x3*x2, x1^3*x3, x2^2, x2^2*x3^2, x1^2 ]
[ x1^3*x2, x1^2*x2^2, x1^2 ]
[ x1, x1^2*x2^2, x1^2 ]
[ x2, x1^2*x2^2, x1^2 ]
[ 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, 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*x2, x1^2*x2^2, x1^2 ]
[ x1, x1^2*x2^2, x1^2 ]
[ x1^2*x2, x1^2*x2^2, x1^2 ]
[ x2, x1^2, x2^2 ]
[ x1, x1^2, x2^2 ]
[ x2*x1, x1^2, x2^2 ]
[ 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*x3*x1*x3*x5, x5*x1*x5, x1*x2*x3*x4, x3, x2^2, x1*x5*x1*x5, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x5, x5*x1*x5, x1*x2*x3*x4, x3*x4, x2^2, x1*x5*x1*x5,
x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x5, x5*x1*x5, x1*x2*x3*x4, x4, x2^2, x1*x5*x1*x5, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x5, x5*x1*x5, x3, x3*x4, x2^2, x1*x5*x1*x5, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x5, x5*x1*x5, x1*x2, x3, x2^2, x1*x5*x1*x5, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x5, x5*x1*x5, x1*x2*x4, x3*x4, x2^2, x1*x5*x1*x5, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x5, x5*x1*x5, x1*x2, x4, x2^2, x1*x5*x1*x5, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x5, x1*x2*x3*x4, x3, x3*x4, x2^2, x1*x5*x1*x5, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x5, x3*x4*x5*x1*x5, x1*x2*x3*x4, x3, x2^2, x1*x5*x1*x5,
x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x5, x1*x3*x1*x5*x1*x5, x1*x2*x3*x4, x3*x4, x2^2, x1*x5*x1*x5,
x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x5, x3*x4*x5*x1*x5, x1*x2*x3*x4, x4, x2^2, x1*x5*x1*x5,
x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x5, x1*x2*x3*x4*x5*x1*x5, x3, x3*x4, x2^2, x1*x5*x1*x5,
x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x5, x3*x4*x5*x1*x5, x1*x2, x3, x2^2, x1*x5*x1*x5, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x5, x1*x3*x1*x5*x1*x5, x1*x2*x4, x3*x4, x2^2, x1*x5*x1*x5,
x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x5, x3*x4*x5*x1*x5, x1*x2, x4, x2^2, x1*x5*x1*x5, x1*x3*x1*x3 ]
[ x5*x1*x5, x1*x2*x3*x4, x3, x3*x4, x2^2, x1*x5*x1*x5, x1*x3*x1*x3 ]
[ x1*x3*x4*x5*x1, x5*x1*x5, x1*x2*x3*x4, x3, x2^2, x1*x5*x1*x5, x1*x3*x1*x3 ]
[ x1*x3*x1*x5, x5*x1*x5, x1*x2*x3*x4, x3*x4, x2^2, x1*x5*x1*x5, x1*x3*x1*x3 ]
[ x1*x3*x4*x5*x1, x5*x1*x5, x1*x2*x3*x4, x4, x2^2, x1*x5*x1*x5, x1*x3*x1*x3 ]
[ x2*x3*x1*x4*x5, x5*x1*x5, x3, x3*x4, x2^2, x1*x5*x1*x5, x1*x3*x1*x3 ]
[ x1*x3*x4*x5*x1, x5*x1*x5, x1*x2, x3, x2^2, x1*x5*x1*x5, x1*x3*x1*x3 ]
[ x1*x3*x1*x5, x5*x1*x5, x1*x2*x4, x3*x4, x2^2, x1*x5*x1*x5, x1*x3*x1*x3 ]
[ x1*x3*x4*x5*x1, x5*x1*x5, x1*x2, x4, x2^2, x1*x5*x1*x5, x1*x3*x1*x3 ]
[ x3*x1*x3*x5, x1*x2*x3*x4, x3, x3*x4, x2^2, x1*x5*x1*x5, x1*x3*x1*x3 ]
[ x1*x3*x4*x5*x1, x3*x4*x5*x1*x5, x1*x2*x3*x4, x3, x2^2, x1*x5*x1*x5,
x1*x3*x1*x3 ]
[ x1*x3*x1*x5, x1*x3*x1*x5*x1*x5, x1*x2*x3*x4, x3*x4, x2^2, x1*x5*x1*x5,
x1*x3*x1*x3 ]
[ x1*x3*x4*x5*x1, x3*x4*x5*x1*x5, x1*x2*x3*x4, x4, x2^2, x1*x5*x1*x5,
x1*x3*x1*x3 ]
[ x2*x3*x1*x4*x5, x1*x2*x3*x4*x5*x1*x5, x3, x3*x4, x2^2, x1*x5*x1*x5,
x1*x3*x1*x3 ]
[ x1*x3*x4*x5*x1, x3*x4*x5*x1*x5, x1*x2, x3, x2^2, x1*x5*x1*x5, x1*x3*x1*x3 ]
[ x1*x3*x1*x5, x1*x3*x1*x5*x1*x5, x1*x2*x4, x3*x4, x2^2, x1*x5*x1*x5,
x1*x3*x1*x3 ]
[ x1*x3*x4*x5*x1, x3*x4*x5*x1*x5, x1*x2, x4, x2^2, x1*x5*x1*x5, x1*x3*x1*x3 ]
[ x5, x2, x3*x1*x3, x3, x5^2, x4*x5*x4*x5, x1*x3*x1*x3 ]
[ x5, x2, x3*x1*x3, x2*x4, x5^2, x4*x5*x4*x5, x1*x3*x1*x3 ]
[ x5, x2, x3*x1*x3, x2*x3*x4, x5^2, x4*x5*x4*x5, x1*x3*x1*x3 ]
[ x5, x2, x3, x2*x4, x5^2, x4*x5*x4*x5, x1*x3*x1*x3 ]
[ x5, x2, x2*x3*x1*x3*x4, x3, x5^2, x4*x5*x4*x5, x1*x3*x1*x3 ]
[ x5, x2, x3*x1, x2*x4, x5^2, x4*x5*x4*x5, x1*x3*x1*x3 ]
[ x5, x2, x2*x3*x1*x3*x4, x2*x3*x4, x5^2, x4*x5*x4*x5, x1*x3*x1*x3 ]
[ x5, x3*x1*x3, x3, x2*x4, x5^2, x4*x5*x4*x5, x1*x3*x1*x3 ]
[ x5, x4, x3*x1*x3, x3, x5^2, x4*x5*x4*x5, x1*x3*x1*x3 ]
[ x5, x2*x3, x3*x1*x3, x2*x4, x5^2, x4*x5*x4*x5, x1*x3*x1*x3 ]
[ x5, x4, x3*x1*x3, x2*x3*x4, x5^2, x4*x5*x4*x5, x1*x3*x1*x3 ]
[ x5, x2*x3*x1*x3, x3, x2*x4, x5^2, x4*x5*x4*x5, x1*x3*x1*x3 ]
[ x5, x4, x2*x3*x1*x3*x4, x3, x5^2, x4*x5*x4*x5, x1*x3*x1*x3 ]
[ x5, x2*x3, x3*x1, x2*x4, x5^2, x4*x5*x4*x5, x1*x3*x1*x3 ]
[ x5, x4, x2*x3*x1*x3*x4, x2*x3*x4, x5^2, x4*x5*x4*x5, x1*x3*x1*x3 ]
[ x2, x3*x1*x3, x3, x2*x4, x5^2, x4*x5*x4*x5, x1*x3*x1*x3 ]
[ x5*x2*x4, x2, x3*x1*x3, x3, x5^2, x4*x5*x4*x5, x1*x3*x1*x3 ]
[ x3*x5, x2, x3*x1*x3, x2*x4, x5^2, x4*x5*x4*x5, x1*x3*x1*x3 ]
[ x5*x2*x4, x2, x3*x1*x3, x2*x3*x4, x5^2, x4*x5*x4*x5, x1*x3*x1*x3 ]
[ x3*x1*x3*x5, x2, x3, x2*x4, x5^2, x4*x5*x4*x5, x1*x3*x1*x3 ]
[ x5*x2*x4, x2, x2*x3*x1*x3*x4, x3, x5^2, x4*x5*x4*x5, x1*x3*x1*x3 ]
[ x3*x5, x2, x3*x1, x2*x4, x5^2, x4*x5*x4*x5, x1*x3*x1*x3 ]
[ x5*x2*x4, x2, x2*x3*x1*x3*x4, x2*x3*x4, x5^2, x4*x5*x4*x5, x1*x3*x1*x3 ]
[ x5*x2, x3*x1*x3, x3, x2*x4, x5^2, x4*x5*x4*x5, x1*x3*x1*x3 ]
[ x5*x2*x4, x4, x3*x1*x3, x3, x5^2, x4*x5*x4*x5, x1*x3*x1*x3 ]
[ x3*x5, x2*x3, x3*x1*x3, x2*x4, x5^2, x4*x5*x4*x5, x1*x3*x1*x3 ]
[ x5*x2*x4, x4, x3*x1*x3, x2*x3*x4, x5^2, x4*x5*x4*x5, x1*x3*x1*x3 ]
[ x3*x1*x3*x5, x2*x3*x1*x3, x3, x2*x4, x5^2, x4*x5*x4*x5, x1*x3*x1*x3 ]
[ x5*x2*x4, x4, x2*x3*x1*x3*x4, x3, x5^2, x4*x5*x4*x5, x1*x3*x1*x3 ]
[ x3*x5, x2*x3, x3*x1, x2*x4, x5^2, x4*x5*x4*x5, x1*x3*x1*x3 ]
[ x5*x2*x4, x4, x2*x3*x1*x3*x4, x2*x3*x4, x5^2, x4*x5*x4*x5, x1*x3*x1*x3 ]
[ x5, x1^3*x2*x1*x4, x2, x3*x1*x3, x1^2, x1^3*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x5, x1^3*x2*x1*x4, x2, x2*x1*x2*x3, x1^2, x1^3*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x5, x1^3*x2*x1*x4, x2, x2*x1*x2*x3*x1, x1^2, x1^3*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x5, x1^3*x2*x1*x4, x3*x1*x3, x2*x1*x2*x3, x1^2, x1^3*x3*x1*x3,
x1^3*x2*x1*x2 ]
[ x5, x1^3*x2*x1*x4, x1*x2*x3, x3*x1*x3, x1^2, x1^3*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x5, x1^3*x2*x1*x4, x2*x3*x1*x3, x2*x1*x2*x3, x1^2, x1^3*x3*x1*x3,
x1^3*x2*x1*x2 ]
[ x5, x1^3*x2*x1*x4, x1*x2*x3, x2*x1*x2*x3*x1, x1^2, x1^3*x3*x1*x3,
x1^3*x2*x1*x2 ]
[ x5, x2, x3*x1*x3, x2*x1*x2*x3, x1^2, x1^3*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x5, x1^2*x2*x1*x3*x4, x2, x3*x1*x3, x1^2, x1^3*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x5, x1^2*x2*x3*x1*x3*x4, x2, x2*x1*x2*x3, x1^2, x1^3*x3*x1*x3,
x1^3*x2*x1*x2 ]
[ x5, x1^2*x2*x1*x3*x4, x2, x2*x1*x2*x3*x1, x1^2, x1^3*x3*x1*x3,
x1^3*x2*x1*x2 ]
[ x5, x1^3*x2*x1*x2*x4, x3*x1*x3, x2*x1*x2*x3, x1^2, x1^3*x3*x1*x3,
x1^3*x2*x1*x2 ]
[ x5, x1^2*x2*x1*x3*x4, x1*x2*x3, x3*x1*x3, x1^2, x1^3*x3*x1*x3,
x1^3*x2*x1*x2 ]
[ x5, x1^2*x2*x3*x1*x3*x4, x2*x3*x1*x3, x2*x1*x2*x3, x1^2, x1^3*x3*x1*x3,
x1^3*x2*x1*x2 ]
[ x5, x1^2*x2*x1*x3*x4, x1*x2*x3, x2*x1*x2*x3*x1, x1^2, x1^3*x3*x1*x3,
x1^3*x2*x1*x2 ]
[ x1^3*x2*x1*x4, x2, x3*x1*x3, x2*x1*x2*x3, x1^2, x1^3*x3*x1*x3,
x1^3*x2*x1*x2 ]
[ x1^3*x2*x1*x2*x3*x1*x5, x1^3*x2*x1*x4, x2, x3*x1*x3, x1^2, x1^3*x3*x1*x3,
x1^3*x2*x1*x2 ]
[ x3*x1*x3*x5, x1^3*x2*x1*x4, x2, x2*x1*x2*x3, x1^2, x1^3*x3*x1*x3,
x1^3*x2*x1*x2 ]
[ x1^3*x2*x1*x2*x3*x1*x5, x1^3*x2*x1*x4, x2, x2*x1*x2*x3*x1, x1^2,
x1^3*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x2*x5, x1^3*x2*x1*x4, x3*x1*x3, x2*x1*x2*x3, x1^2, x1^3*x3*x1*x3,
x1^3*x2*x1*x2 ]
[ x1^3*x2*x1*x2*x3*x1*x5, x1^3*x2*x1*x4, x1*x2*x3, x3*x1*x3, x1^2,
x1^3*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x3*x1*x3*x5, x1^3*x2*x1*x4, x2*x3*x1*x3, x2*x1*x2*x3, x1^2, x1^3*x3*x1*x3,
x1^3*x2*x1*x2 ]
[ x1^3*x2*x1*x2*x3*x1*x5, x1^3*x2*x1*x4, x1*x2*x3, x2*x1*x2*x3*x1, x1^2,
x1^3*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x1^3*x2*x1*x4*x5, x2, x3*x1*x3, x2*x1*x2*x3, x1^2, x1^3*x3*x1*x3,
x1^3*x2*x1*x2 ]
[ x1^3*x2*x1*x2*x3*x1*x5, x1^2*x2*x1*x3*x4, x2, x3*x1*x3, x1^2,
x1^3*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x3*x1*x3*x5, x1^2*x2*x3*x1*x3*x4, x2, x2*x1*x2*x3, x1^2, x1^3*x3*x1*x3,
x1^3*x2*x1*x2 ]
[ x1^3*x2*x1*x2*x3*x1*x5, x1^2*x2*x1*x3*x4, x2, x2*x1*x2*x3*x1, x1^2,
x1^3*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x2*x5, x1^3*x2*x1*x2*x4, x3*x1*x3, x2*x1*x2*x3, x1^2, x1^3*x3*x1*x3,
x1^3*x2*x1*x2 ]
[ x1^3*x2*x1*x2*x3*x1*x5, x1^2*x2*x1*x3*x4, x1*x2*x3, x3*x1*x3, x1^2,
x1^3*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x3*x1*x3*x5, x1^2*x2*x3*x1*x3*x4, x2*x3*x1*x3, x2*x1*x2*x3, x1^2,
x1^3*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x1^3*x2*x1*x2*x3*x1*x5, x1^2*x2*x1*x3*x4, x1*x2*x3, x2*x1*x2*x3*x1, x1^2,
x1^3*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x1*x2^2*x3*x1*x3*x5, x1*x2*x3*x1*x3, x2*x1*x2^3, x3*x1, x2^2, x1*x3*x1*x3,
x1*x2*x1*x2^3 ]
[ x1*x2^2*x3*x1*x3*x5, x1*x2*x3*x1*x3, x2*x1*x2^3, x4, x2^2, x1*x3*x1*x3,
x1*x2*x1*x2^3 ]
[ x1*x2^2*x3*x1*x3*x5, x1*x2*x3*x1*x3, x2*x1*x2^3, x3*x1*x4, x2^2,
x1*x3*x1*x3, x1*x2*x1*x2^3 ]
[ x1*x2^2*x3*x1*x3*x5, x1*x2*x3*x1*x3, x3*x1, x4, x2^2, x1*x3*x1*x3,
x1*x2*x1*x2^3 ]
[ x1*x2^2*x3*x1*x3*x5, x1*x2*x3*x1*x3, x2*x1*x2^3*x4, x3*x1, x2^2,
x1*x3*x1*x3, x1*x2*x1*x2^3 ]
[ x1*x2^2*x3*x1*x3*x5, x1*x2*x3*x1*x3, x2*x1*x2^3*x3*x1, x4, x2^2,
x1*x3*x1*x3, x1*x2*x1*x2^3 ]
[ x1*x2^2*x3*x1*x3*x5, x1*x2*x3*x1*x3, x2*x1*x2^3*x4, x3*x1*x4, x2^2,
x1*x3*x1*x3, x1*x2*x1*x2^3 ]
[ x1*x2^2*x3*x1*x3*x5, x2*x1*x2^3, x3*x1, x4, x2^2, x1*x3*x1*x3,
x1*x2*x1*x2^3 ]
[ x1*x2^2*x3*x1*x3*x5, x1*x2*x3*x1*x3*x4, x2*x1*x2^3, x3*x1, x2^2,
x1*x3*x1*x3, x1*x2*x1*x2^3 ]
[ x1*x2^2*x3*x1*x3*x5, x1*x2*x3, x2*x1*x2^3, x4, x2^2, x1*x3*x1*x3,
x1*x2*x1*x2^3 ]
[ x1*x2^2*x3*x1*x3*x5, x1*x2*x3*x1*x3*x4, x2*x1*x2^3, x3*x1*x4, x2^2,
x1*x3*x1*x3, x1*x2*x1*x2^3 ]
[ x1*x2^2*x3*x1*x3*x5, x2*x3*x1*x3, x3*x1, x4, x2^2, x1*x3*x1*x3,
x1*x2*x1*x2^3 ]
[ x1*x2^2*x3*x1*x3*x5, x1*x2*x3*x1*x3*x4, x2*x1*x2^3*x4, x3*x1, x2^2,
x1*x3*x1*x3, x1*x2*x1*x2^3 ]
[ x1*x2^2*x3*x1*x3*x5, x1*x2*x3, x2*x1*x2^3*x3*x1, x4, x2^2, x1*x3*x1*x3,
x1*x2*x1*x2^3 ]
[ x1*x2^2*x3*x1*x3*x5, x1*x2*x3*x1*x3*x4, x2*x1*x2^3*x4, x3*x1*x4, x2^2,
x1*x3*x1*x3, x1*x2*x1*x2^3 ]
[ x1*x2*x3*x1*x3, x2*x1*x2^3, x3*x1, x4, x2^2, x1*x3*x1*x3, x1*x2*x1*x2^3 ]
[ x1*x2^2*x3*x1*x3*x4*x5, x1*x2*x3*x1*x3, x2*x1*x2^3, x3*x1, x2^2,
x1*x3*x1*x3, x1*x2*x1*x2^3 ]
[ x2^2*x3*x1*x5, x1*x2*x3*x1*x3, x2*x1*x2^3, x4, x2^2, x1*x3*x1*x3,
x1*x2*x1*x2^3 ]
[ x1*x2^2*x3*x1*x3*x4*x5, x1*x2*x3*x1*x3, x2*x1*x2^3, x3*x1*x4, x2^2,
x1*x3*x1*x3, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x2*x3*x1*x3*x5, x1*x2*x3*x1*x3, x3*x1, x4, x2^2, x1*x3*x1*x3,
x1*x2*x1*x2^3 ]
[ x1*x2^2*x3*x1*x3*x4*x5, x1*x2*x3*x1*x3, x2*x1*x2^3*x4, x3*x1, x2^2,
x1*x3*x1*x3, x1*x2*x1*x2^3 ]
[ x2^2*x3*x1*x5, x1*x2*x3*x1*x3, x2*x1*x2^3*x3*x1, x4, x2^2, x1*x3*x1*x3,
x1*x2*x1*x2^3 ]
[ x1*x2^2*x3*x1*x3*x4*x5, x1*x2*x3*x1*x3, x2*x1*x2^3*x4, x3*x1*x4, x2^2,
x1*x3*x1*x3, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x5, x2*x1*x2^3, x3*x1, x4, x2^2, x1*x3*x1*x3, x1*x2*x1*x2^3 ]
[ x1*x2^2*x3*x1*x3*x4*x5, x1*x2*x3*x1*x3*x4, x2*x1*x2^3, x3*x1, x2^2,
x1*x3*x1*x3, x1*x2*x1*x2^3 ]
[ x2^2*x3*x1*x5, x1*x2*x3, x2*x1*x2^3, x4, x2^2, x1*x3*x1*x3, x1*x2*x1*x2^3 ]
[ x1*x2^2*x3*x1*x3*x4*x5, x1*x2*x3*x1*x3*x4, x2*x1*x2^3, x3*x1*x4, x2^2,
x1*x3*x1*x3, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x2*x3*x1*x3*x5, x2*x3*x1*x3, x3*x1, x4, x2^2, x1*x3*x1*x3,
x1*x2*x1*x2^3 ]
[ x1*x2^2*x3*x1*x3*x4*x5, x1*x2*x3*x1*x3*x4, x2*x1*x2^3*x4, x3*x1, x2^2,
x1*x3*x1*x3, x1*x2*x1*x2^3 ]
[ x2^2*x3*x1*x5, x1*x2*x3, x2*x1*x2^3*x3*x1, x4, x2^2, x1*x3*x1*x3,
x1*x2*x1*x2^3 ]
[ x1*x2^2*x3*x1*x3*x4*x5, x1*x2*x3*x1*x3*x4, x2*x1*x2^3*x4, x3*x1*x4, x2^2,
x1*x3*x1*x3, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x3*x2*x3*x5, x1*x2*x1, x2*x1*x2^3, x1*x3, x2^2,
x1*x2*x1*x2^2*x3*x2*x3, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x3*x2*x3*x5, x1*x2*x1, x2*x1*x2^3, x4, x2^2,
x1*x2*x1*x2^2*x3*x2*x3, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x3*x2*x3*x5, x1*x2*x1, x2*x1*x2^3, x1*x3*x4, x2^2,
x1*x2*x1*x2^2*x3*x2*x3, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x3*x2*x3*x5, x1*x2*x1, x1*x3, x4, x2^2, x1*x2*x1*x2^2*x3*x2*x3,
x1*x2*x1*x2^3 ]
[ x1*x2*x1*x3*x2*x3*x5, x1*x2*x1, x2*x1*x2^3*x4, x1*x3, x2^2,
x1*x2*x1*x2^2*x3*x2*x3, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x3*x2*x3*x5, x1*x2*x1, x1*x2*x1*x2^3*x3, x4, x2^2,
x1*x2*x1*x2^2*x3*x2*x3, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x3*x2*x3*x5, x1*x2*x1, x2*x1*x2^3*x4, x1*x3*x4, x2^2,
x1*x2*x1*x2^2*x3*x2*x3, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x3*x2*x3*x5, x2*x1*x2^3, x1*x3, x4, x2^2, x1*x2*x1*x2^2*x3*x2*x3,
x1*x2*x1*x2^3 ]
[ x1*x2*x1*x3*x2*x3*x5, x1*x2*x1*x4, x2*x1*x2^3, x1*x3, x2^2,
x1*x2*x1*x2^2*x3*x2*x3, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x3*x2*x3*x5, x1*x2*x3, x2*x1*x2^3, x4, x2^2,
x1*x2*x1*x2^2*x3*x2*x3, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x3*x2*x3*x5, x1*x2*x1*x4, x2*x1*x2^3, x1*x3*x4, x2^2,
x1*x2*x1*x2^2*x3*x2*x3, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x3*x2*x3*x5, x2*x1, x1*x3, x4, x2^2, x1*x2*x1*x2^2*x3*x2*x3,
x1*x2*x1*x2^3 ]
[ x1*x2*x1*x3*x2*x3*x5, x1*x2*x1*x4, x2*x1*x2^3*x4, x1*x3, x2^2,
x1*x2*x1*x2^2*x3*x2*x3, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x3*x2*x3*x5, x1*x2*x3, x1*x2*x1*x2^3*x3, x4, x2^2,
x1*x2*x1*x2^2*x3*x2*x3, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x3*x2*x3*x5, x1*x2*x1*x4, x2*x1*x2^3*x4, x1*x3*x4, x2^2,
x1*x2*x1*x2^2*x3*x2*x3, x1*x2*x1*x2^3 ]
[ x1*x2*x1, x2*x1*x2^3, x1*x3, x4, x2^2, x1*x2*x1*x2^2*x3*x2*x3,
x1*x2*x1*x2^3 ]
[ x1*x2*x1*x3*x2*x3*x4*x5, x1*x2*x1, x2*x1*x2^3, x1*x3, x2^2,
x1*x2*x1*x2^2*x3*x2*x3, x1*x2*x1*x2^3 ]
[ x1*x2^2*x3*x5, x1*x2*x1, x2*x1*x2^3, x4, x2^2, x1*x2*x1*x2^2*x3*x2*x3,
x1*x2*x1*x2^3 ]
[ x1*x2*x1*x3*x2*x3*x4*x5, x1*x2*x1, x2*x1*x2^3, x1*x3*x4, x2^2,
x1*x2*x1*x2^2*x3*x2*x3, x1*x2*x1*x2^3 ]
[ x2*x1*x2*x5, x1*x2*x1, x1*x3, x4, x2^2, x1*x2*x1*x2^2*x3*x2*x3,
x1*x2*x1*x2^3 ]
[ x1*x2*x1*x3*x2*x3*x4*x5, x1*x2*x1, x2*x1*x2^3*x4, x1*x3, x2^2,
x1*x2*x1*x2^2*x3*x2*x3, x1*x2*x1*x2^3 ]
[ x1*x2^2*x3*x5, x1*x2*x1, x1*x2*x1*x2^3*x3, x4, x2^2, x1*x2*x1*x2^2*x3*x2*x3,
x1*x2*x1*x2^3 ]
[ x1*x2*x1*x3*x2*x3*x4*x5, x1*x2*x1, x2*x1*x2^3*x4, x1*x3*x4, x2^2,
x1*x2*x1*x2^2*x3*x2*x3, x1*x2*x1*x2^3 ]
[ x3*x2*x3*x5, x2*x1*x2^3, x1*x3, x4, x2^2, x1*x2*x1*x2^2*x3*x2*x3,
x1*x2*x1*x2^3 ]
[ x1*x2*x1*x3*x2*x3*x4*x5, x1*x2*x1*x4, x2*x1*x2^3, x1*x3, x2^2,
x1*x2*x1*x2^2*x3*x2*x3, x1*x2*x1*x2^3 ]
[ x1*x2^2*x3*x5, x1*x2*x3, x2*x1*x2^3, x4, x2^2, x1*x2*x1*x2^2*x3*x2*x3,
x1*x2*x1*x2^3 ]
[ x1*x2*x1*x3*x2*x3*x4*x5, x1*x2*x1*x4, x2*x1*x2^3, x1*x3*x4, x2^2,
x1*x2*x1*x2^2*x3*x2*x3, x1*x2*x1*x2^3 ]
[ x2*x1*x2*x5, x2*x1, x1*x3, x4, x2^2, x1*x2*x1*x2^2*x3*x2*x3, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x3*x2*x3*x4*x5, x1*x2*x1*x4, x2*x1*x2^3*x4, x1*x3, x2^2,
x1*x2*x1*x2^2*x3*x2*x3, x1*x2*x1*x2^3 ]
[ x1*x2^2*x3*x5, x1*x2*x3, x1*x2*x1*x2^3*x3, x4, x2^2, x1*x2*x1*x2^2*x3*x2*x3,
x1*x2*x1*x2^3 ]
[ x1*x2*x1*x3*x2*x3*x4*x5, x1*x2*x1*x4, x2*x1*x2^3*x4, x1*x3*x4, x2^2,
x1*x2*x1*x2^2*x3*x2*x3, x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x5, x1*x2*x1*x3^2, x2*x1*x2^3, x3*x1, x2^2, x3^2, x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x5, x1*x2*x1*x3^2, x2*x1*x2^3, x4, x2^2, x3^2, x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x5, x1*x2*x1*x3^2, x2*x1*x2^3, x3*x1*x4, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x5, x1*x2*x1*x3^2, x3*x1, x4, x2^2, x3^2, x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x5, x1*x2*x1*x3^2, x2*x1*x2^3*x4, x3*x1, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x5, x1*x2*x1*x3^2, x2*x1*x2^3*x3*x1, x4, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x5, x1*x2*x1*x3^2, x2*x1*x2^3*x4, x3*x1*x4, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x5, x2*x1*x2^3, x3*x1, x4, x2^2, x3^2, x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x5, x1*x2*x1*x3^2*x4, x2*x1*x2^3, x3*x1, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x5, x1*x2*x3, x2*x1*x2^3, x4, x2^2, x3^2, x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x5, x1*x2*x1*x3^2*x4, x2*x1*x2^3, x3*x1*x4, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x5, x2*x1*x3^2, x3*x1, x4, x2^2, x3^2, x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x5, x1*x2*x1*x3^2*x4, x2*x1*x2^3*x4, x3*x1, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x5, x1*x2*x3, x2*x1*x2^3*x3*x1, x4, x2^2, x3^2, x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x5, x1*x2*x1*x3^2*x4, x2*x1*x2^3*x4, x3*x1*x4, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x1*x2*x1*x3^2, x2*x1*x2^3, x3*x1, x4, x2^2, x3^2, x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x4*x5, x1*x2*x1*x3^2, x2*x1*x2^3, x3*x1, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x2^2*x3*x1*x5, x1*x2*x1*x3^2, x2*x1*x2^3, x4, x2^2, x3^2, x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x4*x5, x1*x2*x1*x3^2, x2*x1*x2^3, x3*x1*x4, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x2*x1*x2*x3^2*x5, x1*x2*x1*x3^2, x3*x1, x4, x2^2, x3^2, x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x4*x5, x1*x2*x1*x3^2, x2*x1*x2^3*x4, x3*x1, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x2^2*x3*x1*x5, x1*x2*x1*x3^2, x2*x1*x2^3*x3*x1, x4, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x4*x5, x1*x2*x1*x3^2, x2*x1*x2^3*x4, x3*x1*x4, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x1*x2*x1*x5, x2*x1*x2^3, x3*x1, x4, x2^2, x3^2, x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x4*x5, x1*x2*x1*x3^2*x4, x2*x1*x2^3, x3*x1, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x2^2*x3*x1*x5, x1*x2*x3, x2*x1*x2^3, x4, x2^2, x3^2, x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x4*x5, x1*x2*x1*x3^2*x4, x2*x1*x2^3, x3*x1*x4, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x2*x1*x2*x3^2*x5, x2*x1*x3^2, x3*x1, x4, x2^2, x3^2, x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x4*x5, x1*x2*x1*x3^2*x4, x2*x1*x2^3*x4, x3*x1, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x2^2*x3*x1*x5, x1*x2*x3, x2*x1*x2^3*x3*x1, x4, x2^2, x3^2, x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x4*x5, x1*x2*x1*x3^2*x4, x2*x1*x2^3*x4, x3*x1*x4, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x5, x3, x4*x1*x4, x1*x3*x1*x3*x4*x1*x4*x5*x2*x5, x2*x5*x2*x5,
x3*x1*x3*x4*x1*x4, x1*x3*x1*x3 ]
[ x5, x3, x4*x1*x4, x1*x3*x1*x3*x4, x2*x5*x2*x5, x3*x1*x3*x4*x1*x4,
x1*x3*x1*x3 ]
[ x5, x3, x4*x1*x4, x1*x4*x5*x2*x5, x2*x5*x2*x5, x3*x1*x3*x4*x1*x4,
x1*x3*x1*x3 ]
[ x5, x3, x1*x3*x1*x3*x4*x1*x4*x5*x2*x5, x1*x3*x1*x3*x4, x2*x5*x2*x5,
x3*x1*x3*x4*x1*x4, x1*x3*x1*x3 ]
[ x5, x3, x1*x3*x1*x3*x4*x1, x1*x3*x1*x3*x4*x1*x4*x5*x2*x5, x2*x5*x2*x5,
x3*x1*x3*x4*x1*x4, x1*x3*x1*x3 ]
[ x5, x3, x1*x3*x1*x3*x5*x2*x5, x1*x3*x1*x3*x4, x2*x5*x2*x5,
x3*x1*x3*x4*x1*x4, x1*x3*x1*x3 ]
[ x5, x3, x1*x3*x1*x3*x4*x1, x1*x4*x5*x2*x5, x2*x5*x2*x5, x3*x1*x3*x4*x1*x4,
x1*x3*x1*x3 ]
[ x5, x4*x1*x4, x1*x3*x1*x3*x4*x1*x4*x5*x2*x5, x1*x3*x1*x3*x4, x2*x5*x2*x5,
x3*x1*x3*x4*x1*x4, x1*x3*x1*x3 ]
[ x5, x1*x3*x1*x4, x4*x1*x4, x1*x3*x1*x3*x4*x1*x4*x5*x2*x5, x2*x5*x2*x5,
x3*x1*x3*x4*x1*x4, x1*x3*x1*x3 ]
[ x5, x1*x3*x1*x4*x1*x4*x5*x2*x5, x4*x1*x4, x1*x3*x1*x3*x4, x2*x5*x2*x5,
x3*x1*x3*x4*x1*x4, x1*x3*x1*x3 ]
[ x5, x1*x3*x1*x4, x4*x1*x4, x1*x4*x5*x2*x5, x2*x5*x2*x5, x3*x1*x3*x4*x1*x4,
x1*x3*x1*x3 ]
[ x5, x3*x4*x1*x4, x1*x3*x1*x3*x4*x1*x4*x5*x2*x5, x1*x3*x1*x3*x4,
x2*x5*x2*x5, x3*x1*x3*x4*x1*x4, x1*x3*x1*x3 ]
[ x5, x1*x3*x1*x4, x1*x3*x1*x3*x4*x1, x1*x3*x1*x3*x4*x1*x4*x5*x2*x5,
x2*x5*x2*x5, x3*x1*x3*x4*x1*x4, x1*x3*x1*x3 ]
[ x5, x1*x3*x1*x4*x1*x4*x5*x2*x5, x1*x3*x1*x3*x5*x2*x5, x1*x3*x1*x3*x4,
x2*x5*x2*x5, x3*x1*x3*x4*x1*x4, x1*x3*x1*x3 ]
[ x5, x1*x3*x1*x4, x1*x3*x1*x3*x4*x1, x1*x4*x5*x2*x5, x2*x5*x2*x5,
x3*x1*x3*x4*x1*x4, x1*x3*x1*x3 ]
[ x3, x4*x1*x4, x1*x3*x1*x3*x4*x1*x4*x5*x2*x5, x1*x3*x1*x3*x4, x2*x5*x2*x5,
x3*x1*x3*x4*x1*x4, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x4*x5, x3, x4*x1*x4, x1*x3*x1*x3*x4*x1*x4*x5*x2*x5,
x2*x5*x2*x5, x3*x1*x3*x4*x1*x4, x1*x3*x1*x3 ]
[ x1*x2*x3*x1*x3*x4*x1*x4*x5, x3, x4*x1*x4, x1*x3*x1*x3*x4, x2*x5*x2*x5,
x3*x1*x3*x4*x1*x4, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x4*x5, x3, x4*x1*x4, x1*x4*x5*x2*x5, x2*x5*x2*x5,
x3*x1*x3*x4*x1*x4, x1*x3*x1*x3 ]
[ x4*x1*x4*x5, x3, x1*x3*x1*x3*x4*x1*x4*x5*x2*x5, x1*x3*x1*x3*x4,
x2*x5*x2*x5, x3*x1*x3*x4*x1*x4, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x4*x5, x3, x1*x3*x1*x3*x4*x1, x1*x3*x1*x3*x4*x1*x4*x5*x2*x5,
x2*x5*x2*x5, x3*x1*x3*x4*x1*x4, x1*x3*x1*x3 ]
[ x1*x2*x3*x1*x3*x4*x1*x4*x5, x3, x1*x3*x1*x3*x5*x2*x5, x1*x3*x1*x3*x4,
x2*x5*x2*x5, x3*x1*x3*x4*x1*x4, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x4*x5, x3, x1*x3*x1*x3*x4*x1, x1*x4*x5*x2*x5, x2*x5*x2*x5,
x3*x1*x3*x4*x1*x4, x1*x3*x1*x3 ]
[ x3*x5, x4*x1*x4, x1*x3*x1*x3*x4*x1*x4*x5*x2*x5, x1*x3*x1*x3*x4,
x2*x5*x2*x5, x3*x1*x3*x4*x1*x4, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x4*x5, x1*x3*x1*x4, x4*x1*x4, x1*x3*x1*x3*x4*x1*x4*x5*x2*x5,
x2*x5*x2*x5, x3*x1*x3*x4*x1*x4, x1*x3*x1*x3 ]
[ x1*x2*x3*x1*x3*x4*x1*x4*x5, x1*x3*x1*x4*x1*x4*x5*x2*x5, x4*x1*x4,
x1*x3*x1*x3*x4, x2*x5*x2*x5, x3*x1*x3*x4*x1*x4, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x4*x5, x1*x3*x1*x4, x4*x1*x4, x1*x4*x5*x2*x5, x2*x5*x2*x5,
x3*x1*x3*x4*x1*x4, x1*x3*x1*x3 ]
[ x4*x1*x4*x5, x3*x4*x1*x4, x1*x3*x1*x3*x4*x1*x4*x5*x2*x5, x1*x3*x1*x3*x4,
x2*x5*x2*x5, x3*x1*x3*x4*x1*x4, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x4*x5, x1*x3*x1*x4, x1*x3*x1*x3*x4*x1,
x1*x3*x1*x3*x4*x1*x4*x5*x2*x5, x2*x5*x2*x5, x3*x1*x3*x4*x1*x4, x1*x3*x1*x3 ]
[ x1*x2*x3*x1*x3*x4*x1*x4*x5, x1*x3*x1*x4*x1*x4*x5*x2*x5,
x1*x3*x1*x3*x5*x2*x5, x1*x3*x1*x3*x4, x2*x5*x2*x5, x3*x1*x3*x4*x1*x4,
x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x4*x5, x1*x3*x1*x4, x1*x3*x1*x3*x4*x1, x1*x4*x5*x2*x5,
x2*x5*x2*x5, x3*x1*x3*x4*x1*x4, x1*x3*x1*x3 ]
[ x5, x1^2*x2, x1, x1^2*x4, x3*x5*x3*x5, x2^2, x1^2 ]
[ x5, x1^2*x2, x1, x1^3*x2^2*x3*x4, x3*x5*x3*x5, x2^2, x1^2 ]
[ x5, x1^2*x2, x1, x1*x2^2*x3, x3*x5*x3*x5, x2^2, x1^2 ]
[ x5, x1^2*x2, x1^2*x4, x1^3*x2^2*x3*x4, x3*x5*x3*x5, x2^2, x1^2 ]
[ x5, x1^2*x2, x2^2*x3*x4, x1^2*x4, x3*x5*x3*x5, x2^2, x1^2 ]
[ x5, x1^2*x2, x1^3*x4, x1^3*x2^2*x3*x4, x3*x5*x3*x5, x2^2, x1^2 ]
[ x5, x1^2*x2, x2^2*x3*x4, x1*x2^2*x3, x3*x5*x3*x5, x2^2, x1^2 ]
[ x5, x1, x1^2*x4, x1^3*x2^2*x3*x4, x3*x5*x3*x5, x2^2, x1^2 ]
[ x5, x1^3*x2^3*x3*x4, x1, x1^2*x4, x3*x5*x3*x5, x2^2, x1^2 ]
[ x5, x2*x4, x1, x1^3*x2^2*x3*x4, x3*x5*x3*x5, x2^2, x1^2 ]
[ x5, x1^3*x2^3*x3*x4, x1, x1*x2^2*x3, x3*x5*x3*x5, x2^2, x1^2 ]
[ x5, x1*x2, x1^2*x4, x1^3*x2^2*x3*x4, x3*x5*x3*x5, x2^2, x1^2 ]
[ x5, x1^3*x2^3*x3*x4, x2^2*x3*x4, x1^2*x4, x3*x5*x3*x5, x2^2, x1^2 ]
[ x5, x2*x4, x1^3*x4, x1^3*x2^2*x3*x4, x3*x5*x3*x5, x2^2, x1^2 ]
[ x5, x1^3*x2^3*x3*x4, x2^2*x3*x4, x1*x2^2*x3, x3*x5*x3*x5, x2^2, x1^2 ]
[ x1^2*x2, x1, x1^2*x4, x1^3*x2^2*x3*x4, x3*x5*x3*x5, x2^2, x1^2 ]
[ x1*x2^2*x4*x5*x3, x1^2*x2, x1, x1^2*x4, x3*x5*x3*x5, x2^2, x1^2 ]
[ x1^2*x4*x5, x1^2*x2, x1, x1^3*x2^2*x3*x4, x3*x5*x3*x5, x2^2, x1^2 ]
[ x1*x2^2*x4*x5*x3, x1^2*x2, x1, x1*x2^2*x3, x3*x5*x3*x5, x2^2, x1^2 ]
[ x1*x5, x1^2*x2, x1^2*x4, x1^3*x2^2*x3*x4, x3*x5*x3*x5, x2^2, x1^2 ]
[ x1*x2^2*x4*x5*x3, x1^2*x2, x2^2*x3*x4, x1^2*x4, x3*x5*x3*x5, x2^2, x1^2 ]
[ x1^2*x4*x5, x1^2*x2, x1^3*x4, x1^3*x2^2*x3*x4, x3*x5*x3*x5, x2^2, x1^2 ]
[ x1*x2^2*x4*x5*x3, x1^2*x2, x2^2*x3*x4, x1*x2^2*x3, x3*x5*x3*x5, x2^2, x1^2 ]
[ x1^2*x2*x5, x1, x1^2*x4, x1^3*x2^2*x3*x4, x3*x5*x3*x5, x2^2, x1^2 ]
[ x1*x2^2*x4*x5*x3, x1^3*x2^3*x3*x4, x1, x1^2*x4, x3*x5*x3*x5, x2^2, x1^2 ]
[ x1^2*x4*x5, x2*x4, x1, x1^3*x2^2*x3*x4, x3*x5*x3*x5, x2^2, x1^2 ]
[ x1*x2^2*x4*x5*x3, x1^3*x2^3*x3*x4, x1, x1*x2^2*x3, x3*x5*x3*x5, x2^2, x1^2 ]
[ x1*x5, x1*x2, x1^2*x4, x1^3*x2^2*x3*x4, x3*x5*x3*x5, x2^2, x1^2 ]
[ x1*x2^2*x4*x5*x3, x1^3*x2^3*x3*x4, x2^2*x3*x4, x1^2*x4, x3*x5*x3*x5, x2^2,
x1^2 ]
[ x1^2*x4*x5, x2*x4, x1^3*x4, x1^3*x2^2*x3*x4, x3*x5*x3*x5, x2^2, x1^2 ]
[ x1*x2^2*x4*x5*x3, x1^3*x2^3*x3*x4, x2^2*x3*x4, x1*x2^2*x3, x3*x5*x3*x5,
x2^2, x1^2 ]
[ x2^2*x3, x1^2*x2, x2^2, x1^2 ]
[ x2^2*x3, x1, x2^2, x1^2 ]
[ x2^2*x3, x1^3*x2, x2^2, x1^2 ]
[ x1^2*x2, x1, x2^2, x1^2 ]
[ x1*x2^2*x3, x1^2*x2, x2^2, x1^2 ]
[ x1^2*x2^3*x3, x1, x2^2, x1^2 ]
[ x1*x2^2*x3, x1^3*x2, x2^2, x1^2 ]
[ x3, x2, x3^2, x2^2 ]
[ x3, x1, x3^2, x2^2 ]
[ x3, x1*x2, x3^2, x2^2 ]
[ x2, x1, x3^2, x2^2 ]
[ x1*x3, x2, x3^2, x2^2 ]
[ x2*x3, x1, x3^2, x2^2 ]
[ x1*x3, x1*x2, x3^2, x2^2 ]
[ x3, x1, x2*x3*x2*x3, x2^3*x3*x2*x3 ]
[ x3, x2, x2*x3*x2*x3, x2^3*x3*x2*x3 ]
[ x3, x1*x2, x2*x3*x2*x3, x2^3*x3*x2*x3 ]
[ x1, x2, x2*x3*x2*x3, x2^3*x3*x2*x3 ]
[ x3*x2, x1, x2*x3*x2*x3, x2^3*x3*x2*x3 ]
[ x1*x3, x2, x2*x3*x2*x3, x2^3*x3*x2*x3 ]
[ x3*x2, x1*x2, x2*x3*x2*x3, x2^3*x3*x2*x3 ]
[ x3, x2, x1^2, x1^3*x2*x1*x2 ]
[ x3, x2*x1*x2, x1^2, x1^3*x2*x1*x2 ]
[ x3, x1*x2, x1^2, x1^3*x2*x1*x2 ]
[ x2, x2*x1*x2, x1^2, x1^3*x2*x1*x2 ]
[ x2*x1*x2*x3, x2, x1^2, x1^3*x2*x1*x2 ]
[ x2*x3, x2*x1*x2, x1^2, x1^3*x2*x1*x2 ]
[ x2*x1*x2*x3, x1*x2, x1^2, x1^3*x2*x1*x2 ]
[ x3, x1, x2^2, x1^2 ]
[ x3, x1^2*x2, x2^2, x1^2 ]
[ x3, x1^3*x2, x2^2, x1^2 ]
[ x1, x1^2*x2, x2^2, x1^2 ]
[ x1^2*x2*x3, x1, x2^2, x1^2 ]
[ x1^3*x3, x1^2*x2, x2^2, x1^2 ]
[ x1^2*x2*x3, x1^3*x2, x2^2, x1^2 ]
[ x2^2*x3, x1, x3^2, x2^2 ]
[ x2^2*x3, x2, x3^2, x2^2 ]
[ x2^2*x3, x1*x2, x3^2, x2^2 ]
[ x1, x2, x3^2, x2^2 ]
[ x2*x3, x1, x3^2, x2^2 ]
[ x1*x2^2*x3, x2, x3^2, x2^2 ]
[ x2*x3, x1*x2, x3^2, x2^2 ]
[ x2, x2^2, x1^2, x1^3*x2*x1*x2^3 ]
[ x2*x1*x2^3, x2^2, x1^2, x1^3*x2*x1*x2^3 ]
[ x1*x2, x2^2, x1^2, x1^3*x2*x1*x2^3 ]
[ 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 ]
[ x1^2*x2^2*x3, x1, x2^2, x1^2 ]
[ x1^2*x2^2*x3, x1^2*x2, x2^2, x1^2 ]
[ x1^2*x2^2*x3, x1^3*x2, x2^2, x1^2 ]
[ x1, x1^2*x2, x2^2, x1^2 ]
[ x2*x3, x1, x2^2, x1^2 ]
[ x1*x2^2*x3, x1^2*x2, x2^2, x1^2 ]
[ x2*x3, x1^3*x2, x2^2, x1^2 ]
[ x3, x3*x1*x3^3, x3^2, x1*x3*x1*x3^3 ]
[ x3, x2, x3^2, x1*x3*x1*x3^3 ]
[ x3, x2*x3*x1*x3^3, x3^2, x1*x3*x1*x3^3 ]
[ x3*x1*x3^3, x2, x3^2, x1*x3*x1*x3^3 ]
[ x2*x3, x3*x1*x3^3, x3^2, x1*x3*x1*x3^3 ]
[ x1*x3, x2, x3^2, x1*x3*x1*x3^3 ]
[ x2*x3, x2*x3*x1*x3^3, x3^2, x1*x3*x1*x3^3 ]
[ x3, x1, x2^2, x3^2 ]
[ x3, x2, x2^2, x3^2 ]
[ x3, x1*x2, x2^2, x3^2 ]
[ x1, x2, x2^2, x3^2 ]
[ x3*x2, x1, x2^2, x3^2 ]
[ x1*x3, x2, x2^2, x3^2 ]
[ x3*x2, x1*x2, x2^2, x3^2 ]
[ x2, x2^2, x1^2, x1^3*x2*x1*x2^3 ]
[ x1, x2^2, x1^2, x1^3*x2*x1*x2^3 ]
[ x2*x1, x2^2, x1^2, x1^3*x2*x1*x2^3 ]
[ 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 ]
[ 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*x2^3*x3, x1, x1^2, x2^2 ]
[ x1^3*x3, x2, x1^2, x2^2 ]
[ x1^2*x2^3*x3, x1*x2, x1^2, x2^2 ]
[ x1^3*x2*x1, x2^2, x1^2, x1^3*x2*x1*x2^3 ]
[ x2*x1*x2^3, x2^2, x1^2, x1^3*x2*x1*x2^3 ]
[ x2*x1, x2^2, x1^2, x1^3*x2*x1*x2^3 ]
[ 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, 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, x2*x3*x2*x3, x1^2 ]
[ x3, x2, x2*x3*x2*x3, x1^2 ]
[ x3, x1*x2, x2*x3*x2*x3, x1^2 ]
[ x1, x2, x2*x3*x2*x3, x1^2 ]
[ x3*x2, x1, x2*x3*x2*x3, x1^2 ]
[ x1^3*x3, x2, x2*x3*x2*x3, x1^2 ]
[ x3*x2, x1*x2, x2*x3*x2*x3, x1^2 ]
[ x3, x3*x1*x3, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x3, x2, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x3, x1*x2*x1*x3*x1*x3, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x3*x1*x3, x2, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x2*x1*x3*x1, x3*x1*x3, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x1*x3, x2, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x2*x1*x3*x1, x1*x2*x1*x3*x1*x3, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x3, x1, x3^2, x2*x3*x2*x3^3 ]
[ x3, x3*x2*x3^3, x3^2, x2*x3*x2*x3^3 ]
[ x3, x1*x3*x2*x3^3, x3^2, x2*x3*x2*x3^3 ]
[ x1, x3*x2*x3^3, x3^2, x2*x3*x2*x3^3 ]
[ x2*x3, x1, x3^2, x2*x3*x2*x3^3 ]
[ x1*x3, x3*x2*x3^3, x3^2, x2*x3*x2*x3^3 ]
[ x2*x3, x1*x3*x2*x3^3, x3^2, x2*x3*x2*x3^3 ]
[ x1^3*x2*x1, x2^2, x1^2, x1^3*x2*x1*x2^3 ]
[ x1, x2^2, x1^2, x1^3*x2*x1*x2^3 ]
[ x1*x2, x2^2, x1^2, x1^3*x2*x1*x2^3 ]
[ x3, x1*x3^2, x3^2, x1*x2*x1*x2 ]
[ x3, x2, x3^2, x1*x2*x1*x2 ]
[ x3, x1*x2*x3^2, x3^2, x1*x2*x1*x2 ]
[ x1*x3^2, x2, x3^2, x1*x2*x1*x2 ]
[ x2*x3, x1*x3^2, x3^2, x1*x2*x1*x2 ]
[ x1*x3, x2, x3^2, x1*x2*x1*x2 ]
[ x2*x3, x1*x2*x3^2, x3^2, x1*x2*x1*x2 ]
[ x2^2*x3^2*x4*x6, x1*x2*x1*x3^2, x2*x1*x2^3, x3*x1, x4, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x4*x6, x1*x2*x1*x3^2, x2*x1*x2^3, x3*x1, x4*x5, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x4*x6, x1*x2*x1*x3^2, x2*x1*x2^3, x3*x1, x5, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x4*x6, x1*x2*x1*x3^2, x2*x1*x2^3, x4, x4*x5, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x4*x6, x1*x2*x1*x3^2, x2*x1*x2^3, x3*x1*x4*x5, x4, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x4*x6, x1*x2*x1*x3^2, x2*x1*x2^3, x3*x1*x4, x4*x5, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x4*x6, x1*x2*x1*x3^2, x2*x1*x2^3, x3*x1*x4*x5, x5, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x4*x6, x1*x2*x1*x3^2, x3*x1, x4, x4*x5, x2^2, x3^2, x1*x2*x1*x2^3
]
[ x2^2*x3^2*x4*x6, x1*x2*x1*x3^2, x2*x1*x2^3*x4*x5, x3*x1, x4, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x4*x6, x1*x2*x1*x3^2, x2*x1*x2^3*x4, x3*x1, x4*x5, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x4*x6, x1*x2*x1*x3^2, x2*x1*x2^3*x4*x5, x3*x1, x5, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x4*x6, x1*x2*x1*x3^2, x2*x1*x2^3*x3*x1, x4, x4*x5, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x4*x6, x1*x2*x1*x3^2, x2*x1*x2^3*x4*x5, x3*x1*x4*x5, x4, x2^2,
x3^2, x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x4*x6, x1*x2*x1*x3^2, x2*x1*x2^3*x4, x3*x1*x4, x4*x5, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x4*x6, x1*x2*x1*x3^2, x2*x1*x2^3*x4*x5, x3*x1*x4*x5, x5, x2^2,
x3^2, x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x4*x6, x2*x1*x2^3, x3*x1, x4, x4*x5, x2^2, x3^2, x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x4*x6, x1*x2*x1*x3^2*x4*x5, x2*x1*x2^3, x3*x1, x4, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x4*x6, x1*x2*x1*x3^2*x4, x2*x1*x2^3, x3*x1, x4*x5, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x4*x6, x1*x2*x1*x3^2*x4*x5, x2*x1*x2^3, x3*x1, x5, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x4*x6, x1*x2*x3, x2*x1*x2^3, x4, x4*x5, x2^2, x3^2, x1*x2*x1*x2^3
]
[ x2^2*x3^2*x4*x6, x1*x2*x1*x3^2*x4*x5, x2*x1*x2^3, x3*x1*x4*x5, x4, x2^2,
x3^2, x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x4*x6, x1*x2*x1*x3^2*x4, x2*x1*x2^3, x3*x1*x4, x4*x5, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x4*x6, x1*x2*x1*x3^2*x4*x5, x2*x1*x2^3, x3*x1*x4*x5, x5, x2^2,
x3^2, x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x4*x6, x2*x1*x3^2, x3*x1, x4, x4*x5, x2^2, x3^2, x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x4*x6, x1*x2*x1*x3^2*x4*x5, x2*x1*x2^3*x4*x5, x3*x1, x4, x2^2,
x3^2, x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x4*x6, x1*x2*x1*x3^2*x4, x2*x1*x2^3*x4, x3*x1, x4*x5, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x4*x6, x1*x2*x1*x3^2*x4*x5, x2*x1*x2^3*x4*x5, x3*x1, x5, x2^2,
x3^2, x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x4*x6, x1*x2*x3, x2*x1*x2^3*x3*x1, x4, x4*x5, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x4*x6, x1*x2*x1*x3^2*x4*x5, x2*x1*x2^3*x4*x5, x3*x1*x4*x5, x4,
x2^2, x3^2, x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x4*x6, x1*x2*x1*x3^2*x4, x2*x1*x2^3*x4, x3*x1*x4, x4*x5, x2^2,
x3^2, x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x4*x6, x1*x2*x1*x3^2*x4*x5, x2*x1*x2^3*x4*x5, x3*x1*x4*x5, x5,
x2^2, x3^2, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x3^2, x2*x1*x2^3, x3*x1, x4, x4*x5, x2^2, x3^2, x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x5*x6, x1*x2*x1*x3^2, x2*x1*x2^3, x3*x1, x4, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x6, x1*x2*x1*x3^2, x2*x1*x2^3, x3*x1, x4*x5, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x5*x6, x1*x2*x1*x3^2, x2*x1*x2^3, x3*x1, x5, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x1*x2^2*x3*x4*x6, x1*x2*x1*x3^2, x2*x1*x2^3, x4, x4*x5, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x5*x6, x1*x2*x1*x3^2, x2*x1*x2^3, x3*x1*x4*x5, x4, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x6, x1*x2*x1*x3^2, x2*x1*x2^3, x3*x1*x4, x4*x5, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x5*x6, x1*x2*x1*x3^2, x2*x1*x2^3, x3*x1*x4*x5, x5, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x2*x1*x2*x3^2*x4*x6, x1*x2*x1*x3^2, x3*x1, x4, x4*x5, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x5*x6, x1*x2*x1*x3^2, x2*x1*x2^3*x4*x5, x3*x1, x4, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x6, x1*x2*x1*x3^2, x2*x1*x2^3*x4, x3*x1, x4*x5, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x5*x6, x1*x2*x1*x3^2, x2*x1*x2^3*x4*x5, x3*x1, x5, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x1*x2^2*x3*x4*x6, x1*x2*x1*x3^2, x2*x1*x2^3*x3*x1, x4, x4*x5, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x5*x6, x1*x2*x1*x3^2, x2*x1*x2^3*x4*x5, x3*x1*x4*x5, x4, x2^2,
x3^2, x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x6, x1*x2*x1*x3^2, x2*x1*x2^3*x4, x3*x1*x4, x4*x5, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x5*x6, x1*x2*x1*x3^2, x2*x1*x2^3*x4*x5, x3*x1*x4*x5, x5, x2^2,
x3^2, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x4*x6, x2*x1*x2^3, x3*x1, x4, x4*x5, x2^2, x3^2, x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x5*x6, x1*x2*x1*x3^2*x4*x5, x2*x1*x2^3, x3*x1, x4, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x6, x1*x2*x1*x3^2*x4, x2*x1*x2^3, x3*x1, x4*x5, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x5*x6, x1*x2*x1*x3^2*x4*x5, x2*x1*x2^3, x3*x1, x5, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x1*x2^2*x3*x4*x6, x1*x2*x3, x2*x1*x2^3, x4, x4*x5, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x5*x6, x1*x2*x1*x3^2*x4*x5, x2*x1*x2^3, x3*x1*x4*x5, x4, x2^2,
x3^2, x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x6, x1*x2*x1*x3^2*x4, x2*x1*x2^3, x3*x1*x4, x4*x5, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x5*x6, x1*x2*x1*x3^2*x4*x5, x2*x1*x2^3, x3*x1*x4*x5, x5, x2^2,
x3^2, x1*x2*x1*x2^3 ]
[ x2*x1*x2*x3^2*x4*x6, x2*x1*x3^2, x3*x1, x4, x4*x5, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x5*x6, x1*x2*x1*x3^2*x4*x5, x2*x1*x2^3*x4*x5, x3*x1, x4, x2^2,
x3^2, x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x6, x1*x2*x1*x3^2*x4, x2*x1*x2^3*x4, x3*x1, x4*x5, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x5*x6, x1*x2*x1*x3^2*x4*x5, x2*x1*x2^3*x4*x5, x3*x1, x5, x2^2,
x3^2, x1*x2*x1*x2^3 ]
[ x1*x2^2*x3*x4*x6, x1*x2*x3, x2*x1*x2^3*x3*x1, x4, x4*x5, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x5*x6, x1*x2*x1*x3^2*x4*x5, x2*x1*x2^3*x4*x5, x3*x1*x4*x5, x4,
x2^2, x3^2, x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x6, x1*x2*x1*x3^2*x4, x2*x1*x2^3*x4, x3*x1*x4, x4*x5, x2^2, x3^2,
x1*x2*x1*x2^3 ]
[ x2^2*x3^2*x5*x6, x1*x2*x1*x3^2*x4*x5, x2*x1*x2^3*x4*x5, x3*x1*x4*x5, x5,
x2^2, x3^2, x1*x2*x1*x2^3 ]
[ x1^3*x2^2*x3, x2, x1^2*x3^2, x2^2, x1^2 ]
[ x1^3*x2^2*x3, x1, x1^2*x3^2, x2^2, x1^2 ]
[ x1^3*x2^2*x3, x1*x2, x1^2*x3^2, x2^2, x1^2 ]
[ x2, x1, x1^2*x3^2, x2^2, x1^2 ]
[ x2^2*x3, x2, x1^2*x3^2, x2^2, x1^2 ]
[ x1^3*x2^3*x3, x1, x1^2*x3^2, x2^2, x1^2 ]
[ x2^2*x3, x1*x2, x1^2*x3^2, x2^2, x1^2 ]
[ x4, x1, x2, x3^2, x2^2 ]
[ x4, x1, x3, x3^2, x2^2 ]
[ x4, x1, x2*x3, x3^2, x2^2 ]
[ x4, x2, x3, x3^2, x2^2 ]
[ x4, x1*x3, x2, x3^2, x2^2 ]
[ x4, x1*x2, x3, x3^2, x2^2 ]
[ x4, x1*x3, x2*x3, x3^2, x2^2 ]
[ x1, x2, x3, x3^2, x2^2 ]
[ x3*x4, x1, x2, x3^2, x2^2 ]
[ x2^3*x4, x1, x3, x3^2, x2^2 ]
[ x3*x4, x1, x2*x3, x3^2, x2^2 ]
[ x1*x4, x2, x3, x3^2, x2^2 ]
[ x3*x4, x1*x3, x2, x3^2, x2^2 ]
[ x2^3*x4, x1*x2, x3, x3^2, x2^2 ]
[ x3*x4, x1*x3, x2*x3, x3^2, x2^2 ]
[ x3, x1, x3^2, x1^2, x2*x3*x2*x3^3 ]
[ x3, x2, x3^2, x1^2, x2*x3*x2*x3^3 ]
[ x3, x1*x2, x3^2, x1^2, x2*x3*x2*x3^3 ]
[ x1, x2, x3^2, x1^2, x2*x3*x2*x3^3 ]
[ x3*x2, x1, x3^2, x1^2, x2*x3*x2*x3^3 ]
[ x1*x3, x2, x3^2, x1^2, x2*x3*x2*x3^3 ]
[ x3*x2, x1*x2, x3^2, x1^2, x2*x3*x2*x3^3 ]
[ x2*x3, x1, x1^2, x1^2*x2*x1*x2*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x2*x3, x2, x1^2, x1^2*x2*x1*x2*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x2*x3, x1*x2, x1^2, x1^2*x2*x1*x2*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x1, x2, x1^2, x1^2*x2*x1*x2*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x3, x1, x1^2, x1^2*x2*x1*x2*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x2*x3*x1, x2, x1^2, x1^2*x2*x1*x2*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x3, x1*x2, x1^2, x1^2*x2*x1*x2*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x2*x3, x1, x2^2, x1^2*x2^2, x1^3*x2*x1*x2^3 ]
[ x2*x3, x2, x2^2, x1^2*x2^2, x1^3*x2*x1*x2^3 ]
[ x2*x3, x1*x2, x2^2, x1^2*x2^2, x1^3*x2*x1*x2^3 ]
[ x1, x2, x2^2, x1^2*x2^2, x1^3*x2*x1*x2^3 ]
[ x2^2*x3, x1, x2^2, x1^2*x2^2, x1^3*x2*x1*x2^3 ]
[ x1^3*x2^3*x3, x2, x2^2, x1^2*x2^2, x1^3*x2*x1*x2^3 ]
[ x2^2*x3, x1*x2, x2^2, x1^2*x2^2, x1^3*x2*x1*x2^3 ]
[ x4, x1*x3, x1, x2^2, x1*x2*x1*x2^3 ]
[ x4, x1*x3, x2, x2^2, x1*x2*x1*x2^3 ]
[ x4, x1*x3, x1*x2, x2^2, x1*x2*x1*x2^3 ]
[ x4, x1, x2, x2^2, x1*x2*x1*x2^3 ]
[ x4, x2*x1*x2^2*x3, x1, x2^2, x1*x2*x1*x2^3 ]
[ x4, x3, x2, x2^2, x1*x2*x1*x2^3 ]
[ x4, x2*x1*x2^2*x3, x1*x2, x2^2, x1*x2*x1*x2^3 ]
[ x1*x3, x1, x2, x2^2, x1*x2*x1*x2^3 ]
[ x2*x4, x1*x3, x1, x2^2, x1*x2*x1*x2^3 ]
[ x1*x4, x1*x3, x2, x2^2, x1*x2*x1*x2^3 ]
[ x2*x4, x1*x3, x1*x2, x2^2, x1*x2*x1*x2^3 ]
[ x1*x3*x4, x1, x2, x2^2, x1*x2*x1*x2^3 ]
[ x2*x4, x2*x1*x2^2*x3, x1, x2^2, x1*x2*x1*x2^3 ]
[ x1*x4, x3, x2, x2^2, x1*x2*x1*x2^3 ]
[ x2*x4, x2*x1*x2^2*x3, x1*x2, x2^2, x1*x2*x1*x2^3 ]
[ x2^2*x4, x1^2*x3, x1, x2^2, x1^2 ]
[ x2^2*x4, x1^2*x3, x1^2*x2, x2^2, x1^2 ]
[ x2^2*x4, x1^2*x3, x1^3*x2, x2^2, x1^2 ]
[ x2^2*x4, x1, x1^2*x2, x2^2, x1^2 ]
[ x2^2*x4, x2^3*x3, x1, x2^2, x1^2 ]
[ x2^2*x4, x1*x3, x1^2*x2, x2^2, x1^2 ]
[ x2^2*x4, x2^3*x3, x1^3*x2, x2^2, x1^2 ]
[ x1^2*x3, x1, x1^2*x2, x2^2, x1^2 ]
[ x1^2*x2^3*x4, x1^2*x3, x1, x2^2, x1^2 ]
[ x1*x2^2*x4, x1^2*x3, x1^2*x2, x2^2, x1^2 ]
[ x1^2*x2^3*x4, x1^2*x3, x1^3*x2, x2^2, x1^2 ]
[ x1^2*x2^2*x3*x4, x1, x1^2*x2, x2^2, x1^2 ]
[ x1^2*x2^3*x4, x2^3*x3, x1, x2^2, x1^2 ]
[ x1*x2^2*x4, x1*x3, x1^2*x2, x2^2, x1^2 ]
[ x1^2*x2^3*x4, x2^3*x3, x1^3*x2, x2^2, x1^2 ]
[ x1^2*x3, x1, x2^2, x1*x2*x1*x3*x2*x3, x1^2*x2^2 ]
[ x1^2*x3, x2, x2^2, x1*x2*x1*x3*x2*x3, x1^2*x2^2 ]
[ x1^2*x3, x1*x2, x2^2, x1*x2*x1*x3*x2*x3, x1^2*x2^2 ]
[ x1, x2, x2^2, x1*x2*x1*x3*x2*x3, x1^2*x2^2 ]
[ x1^2*x3*x2, x1, x2^2, x1*x2*x1*x3*x2*x3, x1^2*x2^2 ]
[ x1*x2^2*x3, x2, x2^2, x1*x2*x1*x3*x2*x3, x1^2*x2^2 ]
[ x1^2*x3*x2, x1*x2, x2^2, x1*x2*x1*x3*x2*x3, x1^2*x2^2 ]
[ x4, x4*x1*x4, x2, x3^2, x1*x4*x1*x4 ]
[ x4, x4*x1*x4, x3, x3^2, x1*x4*x1*x4 ]
[ x4, x4*x1*x4, x2*x3, x3^2, x1*x4*x1*x4 ]
[ x4, x2, x3, x3^2, x1*x4*x1*x4 ]
[ x4, x3*x4*x1*x4, x2, x3^2, x1*x4*x1*x4 ]
[ x4, x2*x4*x1*x4, x3, x3^2, x1*x4*x1*x4 ]
[ x4, x3*x4*x1*x4, x2*x3, x3^2, x1*x4*x1*x4 ]
[ x4*x1*x4, x2, x3, x3^2, x1*x4*x1*x4 ]
[ x3*x4, x4*x1*x4, x2, x3^2, x1*x4*x1*x4 ]
[ x2*x4, x4*x1*x4, x3, x3^2, x1*x4*x1*x4 ]
[ x3*x4, x4*x1*x4, x2*x3, x3^2, x1*x4*x1*x4 ]
[ x1*x4, x2, x3, x3^2, x1*x4*x1*x4 ]
[ x3*x4, x3*x4*x1*x4, x2, x3^2, x1*x4*x1*x4 ]
[ x2*x4, x2*x4*x1*x4, x3, x3^2, x1*x4*x1*x4 ]
[ x3*x4, x3*x4*x1*x4, x2*x3, x3^2, x1*x4*x1*x4 ]
[ x3, x1, x3^2, x1^2, x2*x3*x2*x3^3 ]
[ x3, x2, x3^2, x1^2, x2*x3*x2*x3^3 ]
[ x3, x1*x2, x3^2, x1^2, x2*x3*x2*x3^3 ]
[ x1, x2, x3^2, x1^2, x2*x3*x2*x3^3 ]
[ x3*x2, x1, x3^2, x1^2, x2*x3*x2*x3^3 ]
[ x1*x3, x2, x3^2, x1^2, x2*x3*x2*x3^3 ]
[ x3*x2, x1*x2, x3^2, x1^2, x2*x3*x2*x3^3 ]
[ x2^2*x3, x2, x3^2, x1^2, x2^2 ]
[ x2^2*x3, x1, x3^2, x1^2, x2^2 ]
[ x2^2*x3, x2*x1, x3^2, x1^2, x2^2 ]
[ x2, x1, x3^2, x1^2, x2^2 ]
[ x1*x2^2*x3, x2, x3^2, x1^2, x2^2 ]
[ x1^3*x2*x1*x3, x1, x3^2, x1^2, x2^2 ]
[ x1*x2^2*x3, x2*x1, x3^2, x1^2, x2^2 ]
[ x3, x1, x1^2, x2^2, x2^3*x3*x2*x3 ]
[ x3, x1^2*x2, x1^2, x2^2, x2^3*x3*x2*x3 ]
[ x3, x1^3*x2, x1^2, x2^2, x2^3*x3*x2*x3 ]
[ x1, x1^2*x2, x1^2, x2^2, x2^3*x3*x2*x3 ]
[ x1^2*x3*x2, x1, x1^2, x2^2, x2^3*x3*x2*x3 ]
[ x1*x3, x1^2*x2, x1^2, x2^2, x2^3*x3*x2*x3 ]
[ x1^2*x3*x2, x1^3*x2, x1^2, x2^2, x2^3*x3*x2*x3 ]
[ x3, x1*x2, x3^2, x2^2, x1^2 ]
[ x3, x1, x3^2, x2^2, x1^2 ]
[ x3, x2, x3^2, x2^2, x1^2 ]
[ x1*x2, x1, x3^2, x2^2, x1^2 ]
[ x1*x3, x1*x2, x3^2, x2^2, x1^2 ]
[ x1*x2*x3, x1, x3^2, x2^2, x1^2 ]
[ x1*x3, x2, x3^2, x2^2, x1^2 ]
[ x3, x1, x2^2, x3^2, x2^3*x3*x2*x3 ]
[ x3, x1*x2, x2^2, x3^2, x2^3*x3*x2*x3 ]
[ x3, x2, x2^2, x3^2, x2^3*x3*x2*x3 ]
[ x1, x1*x2, x2^2, x3^2, x2^3*x3*x2*x3 ]
[ x3*x1*x2, x1, x2^2, x3^2, x2^3*x3*x2*x3 ]
[ x3*x1, x1*x2, x2^2, x3^2, x2^3*x3*x2*x3 ]
[ x3*x1*x2, x2, x2^2, x3^2, x2^3*x3*x2*x3 ]
[ x3, x3*x1*x3^3, x3^2, x1*x3*x1*x3^3, x1*x2*x1*x2 ]
[ x3, x2, x3^2, x1*x3*x1*x3^3, x1*x2*x1*x2 ]
[ x3, x1*x2*x1*x3*x1*x3^3, x3^2, x1*x3*x1*x3^3, x1*x2*x1*x2 ]
[ x3*x1*x3^3, x2, x3^2, x1*x3*x1*x3^3, x1*x2*x1*x2 ]
[ x2*x3, x3*x1*x3^3, x3^2, x1*x3*x1*x3^3, x1*x2*x1*x2 ]
[ x1*x3, x2, x3^2, x1*x3*x1*x3^3, x1*x2*x1*x2 ]
[ x2*x3, x1*x2*x1*x3*x1*x3^3, x3^2, x1*x3*x1*x3^3, x1*x2*x1*x2 ]
[ x3, x1, x3^2, x2*x3*x2*x3^3, x1^2 ]
[ x3, x2, x3^2, x2*x3*x2*x3^3, x1^2 ]
[ x3, x1*x2, x3^2, x2*x3*x2*x3^3, x1^2 ]
[ x1, x2, x3^2, x2*x3*x2*x3^3, x1^2 ]
[ x3*x2, x1, x3^2, x2*x3*x2*x3^3, x1^2 ]
[ x1*x3, x2, x3^2, x2*x3*x2*x3^3, x1^2 ]
[ x3*x2, x1*x2, x3^2, x2*x3*x2*x3^3, x1^2 ]
[ x1*x3*x1, x3*x1*x3, x1^2, x1^3*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x1*x3*x1, x2, x1^2, x1^3*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x1*x3*x1, x1^3*x2*x1*x3*x1*x3, x1^2, x1^3*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x3*x1*x3, x2, x1^2, x1^3*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x2*x1*x3*x1, x3*x1*x3, x1^2, x1^3*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x1^2*x3*x1, x2, x1^2, x1^3*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x2*x1*x3*x1, x1^3*x2*x1*x3*x1*x3, x1^2, x1^3*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x3, x1, x1^2, x2*x3*x2*x3, x1^3*x2*x1*x2 ]
[ x3, x1^2*x2, x1^2, x2*x3*x2*x3, x1^3*x2*x1*x2 ]
[ x3, x1^3*x2, x1^2, x2*x3*x2*x3, x1^3*x2*x1*x2 ]
[ x1, x1^2*x2, x1^2, x2*x3*x2*x3, x1^3*x2*x1*x2 ]
[ x1^2*x3*x2, x1, x1^2, x2*x3*x2*x3, x1^3*x2*x1*x2 ]
[ x1*x3, x1^2*x2, x1^2, x2*x3*x2*x3, x1^3*x2*x1*x2 ]
[ x1^2*x3*x2, x1^3*x2, x1^2, x2*x3*x2*x3, x1^3*x2*x1*x2 ]
[ x3, x1, x1^2, x3^2, x2*x3*x2*x3 ]
[ x3, x2, x1^2, x3^2, x2*x3*x2*x3 ]
[ x3, x1*x2, x1^2, x3^2, x2*x3*x2*x3 ]
[ x1, x2, x1^2, x3^2, x2*x3*x2*x3 ]
[ x3*x2, x1, x1^2, x3^2, x2*x3*x2*x3 ]
[ x3*x1, x2, x1^2, x3^2, x2*x3*x2*x3 ]
[ x3*x2, x1*x2, x1^2, x3^2, x2*x3*x2*x3 ]
[ x2*x3*x2, x1, x2^2, x2^3*x3*x2*x3, x1^2 ]
[ x2*x3*x2, x3*x2*x3, x2^2, x2^3*x3*x2*x3, x1^2 ]
[ x2*x3*x2, x1*x3*x2*x3, x2^2, x2^3*x3*x2*x3, x1^2 ]
[ x1, x3*x2*x3, x2^2, x2^3*x3*x2*x3, x1^2 ]
[ x2^2*x3*x2, x1, x2^2, x2^3*x3*x2*x3, x1^2 ]
[ x1*x2*x3*x2, x3*x2*x3, x2^2, x2^3*x3*x2*x3, x1^2 ]
[ x2^2*x3*x2, x1*x3*x2*x3, x2^2, x2^3*x3*x2*x3, x1^2 ]
[ x3, x1, x3^2, x2*x3*x2*x3^3, x1^2 ]
[ x3, x2, x3^2, x2*x3*x2*x3^3, x1^2 ]
[ x3, x1*x2, x3^2, x2*x3*x2*x3^3, x1^2 ]
[ x1, x2, x3^2, x2*x3*x2*x3^3, x1^2 ]
[ x3*x2, x1, x3^2, x2*x3*x2*x3^3, x1^2 ]
[ x1^3*x3, x2, x3^2, x2*x3*x2*x3^3, x1^2 ]
[ x3*x2, x1*x2, x3^2, x2*x3*x2*x3^3, x1^2 ]
[ x2*x3, x1, x2^2, x1*x2*x1*x2^3, x1^3*x2*x1*x2^3 ]
[ x2*x3, x2, x2^2, x1*x2*x1*x2^3, x1^3*x2*x1*x2^3 ]
[ x2*x3, x1*x2, x2^2, x1*x2*x1*x2^3, x1^3*x2*x1*x2^3 ]
[ x1, x2, x2^2, x1*x2*x1*x2^3, x1^3*x2*x1*x2^3 ]
[ x2^2*x3, x1, x2^2, x1*x2*x1*x2^3, x1^3*x2*x1*x2^3 ]
[ x1^2*x2*x1*x3, x2, x2^2, x1*x2*x1*x2^3, x1^3*x2*x1*x2^3 ]
[ x2^2*x3, x1*x2, x2^2, x1*x2*x1*x2^3, x1^3*x2*x1*x2^3 ]
[ x2^3*x3*x2, x1, x2*x3*x2*x3, x2^3*x3*x2*x3, x1^2 ]
[ x2^3*x3*x2, x1^2*x2, x2*x3*x2*x3, x2^3*x3*x2*x3, x1^2 ]
[ x2^3*x3*x2, x1^3*x2, x2*x3*x2*x3, x2^3*x3*x2*x3, x1^2 ]
[ x1, x1^2*x2, x2*x3*x2*x3, x2^3*x3*x2*x3, x1^2 ]
[ x1^2*x2*x3, x1, x2*x3*x2*x3, x2^3*x3*x2*x3, x1^2 ]
[ x1^3*x2^3*x3*x2, x1^2*x2, x2*x3*x2*x3, x2^3*x3*x2*x3, x1^2 ]
[ x1^2*x2*x3, x1^3*x2, x2*x3*x2*x3, x2^3*x3*x2*x3, x1^2 ]
[ x1^3*x3, x1, x2^2, x1^2*x3^2, x1^2 ]
[ x1^3*x3, x1^2*x2, x2^2, x1^2*x3^2, x1^2 ]
[ x1^3*x3, x1^3*x2, x2^2, x1^2*x3^2, x1^2 ]
[ x1, x1^2*x2, x2^2, x1^2*x3^2, x1^2 ]
[ x1*x3*x2, x1, x2^2, x1^2*x3^2, x1^2 ]
[ x3, x1^2*x2, x2^2, x1^2*x3^2, x1^2 ]
[ x1*x3*x2, x1^3*x2, x2^2, x1^2*x3^2, x1^2 ]
[ x3, x1, x1^2, x1*x2^2*x3*x1*x3, x1^3*x3*x1*x3 ]
[ x3, x2*x3*x1*x3, x1^2, x1*x2^2*x3*x1*x3, x1^3*x3*x1*x3 ]
[ x3, x1*x2*x3*x1*x3, x1^2, x1*x2^2*x3*x1*x3, x1^3*x3*x1*x3 ]
[ x1, x2*x3*x1*x3, x1^2, x1*x2^2*x3*x1*x3, x1^3*x3*x1*x3 ]
[ x1^3*x2^3*x3, x1, x1^2, x1*x2^2*x3*x1*x3, x1^3*x3*x1*x3 ]
[ x3*x1, x2*x3*x1*x3, x1^2, x1*x2^2*x3*x1*x3, x1^3*x3*x1*x3 ]
[ x1^3*x2^3*x3, x1*x2*x3*x1*x3, x1^2, x1*x2^2*x3*x1*x3, x1^3*x3*x1*x3 ]
[ x3, x1, x1^2, x2^2, x1*x3*x1*x3 ]
[ x3, x2, x1^2, x2^2, x1*x3*x1*x3 ]
[ x3, x1*x2, x1^2, x2^2, x1*x3*x1*x3 ]
[ x1, x2, x1^2, x2^2, x1*x3*x1*x3 ]
[ x2^3*x3, x1, x1^2, x2^2, x1*x3*x1*x3 ]
[ x3*x1, x2, x1^2, x2^2, x1*x3*x1*x3 ]
[ x2^3*x3, x1*x2, x1^2, x2^2, x1*x3*x1*x3 ]
[ x4, x1*x2*x1*x2*x3, x1, x1^2, x1^3*x2*x1*x2 ]
[ x4, x1*x2*x1*x2*x3, x2, x1^2, x1^3*x2*x1*x2 ]
[ x4, x1*x2*x1*x2*x3, x1*x2, x1^2, x1^3*x2*x1*x2 ]
[ x4, x1, x2, x1^2, x1^3*x2*x1*x2 ]
[ x4, x1*x2*x1*x3, x1, x1^2, x1^3*x2*x1*x2 ]
[ x4, x2*x1*x2*x3, x2, x1^2, x1^3*x2*x1*x2 ]
[ x4, x1*x2*x1*x3, x1*x2, x1^2, x1^3*x2*x1*x2 ]
[ x1*x2*x1*x2*x3, x1, x2, x1^2, x1^3*x2*x1*x2 ]
[ x2*x4, x1*x2*x1*x2*x3, x1, x1^2, x1^3*x2*x1*x2 ]
[ x1*x4, x1*x2*x1*x2*x3, x2, x1^2, x1^3*x2*x1*x2 ]
[ x2*x4, x1*x2*x1*x2*x3, x1*x2, x1^2, x1^3*x2*x1*x2 ]
[ x1*x2*x1*x2*x3*x4, x1, x2, x1^2, x1^3*x2*x1*x2 ]
[ x2*x4, x1*x2*x1*x3, x1, x1^2, x1^3*x2*x1*x2 ]
[ x1*x4, x2*x1*x2*x3, x2, x1^2, x1^3*x2*x1*x2 ]
[ x2*x4, x1*x2*x1*x3, x1*x2, x1^2, x1^3*x2*x1*x2 ]
[ x3, x2*x1*x2^3, x2^2, x2^3*x3*x2*x3, x1*x2*x1*x2^3 ]
[ x3, x3*x2*x3, x2^2, x2^3*x3*x2*x3, x1*x2*x1*x2^3 ]
[ x3, x2*x1*x2^3*x3*x2*x3, x2^2, x2^3*x3*x2*x3, x1*x2*x1*x2^3 ]
[ x2*x1*x2^3, x3*x2*x3, x2^2, x2^3*x3*x2*x3, x1*x2*x1*x2^3 ]
[ x2*x3, x2*x1*x2^3, x2^2, x2^3*x3*x2*x3, x1*x2*x1*x2^3 ]
[ x1*x3, x3*x2*x3, x2^2, x2^3*x3*x2*x3, x1*x2*x1*x2^3 ]
[ x2*x3, x2*x1*x2^3*x3*x2*x3, x2^2, x2^3*x3*x2*x3, x1*x2*x1*x2^3 ]
[ x2*x3, x1, x1^2, x1^2*x2*x1*x2*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x2*x3, x2, x1^2, x1^2*x2*x1*x2*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x2*x3, x1*x2, x1^2, x1^2*x2*x1*x2*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x1, x2, x1^2, x1^2*x2*x1*x2*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x3, x1, x1^2, x1^2*x2*x1*x2*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x2*x3*x1, x2, x1^2, x1^2*x2*x1*x2*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x3, x1*x2, x1^2, x1^2*x2*x1*x2*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x4, x1, x2, x2^2, x3*x4*x3*x4 ]
[ x4, x1, x3, x2^2, x3*x4*x3*x4 ]
[ x4, x1, x2*x3, x2^2, x3*x4*x3*x4 ]
[ x4, x2, x3, x2^2, x3*x4*x3*x4 ]
[ x4, x1*x3, x2, x2^2, x3*x4*x3*x4 ]
[ x4, x1*x2, x3, x2^2, x3*x4*x3*x4 ]
[ x4, x1*x3, x2*x3, x2^2, x3*x4*x3*x4 ]
[ x1, x2, x3, x2^2, x3*x4*x3*x4 ]
[ x4*x3, x1, x2, x2^2, x3*x4*x3*x4 ]
[ x2^3*x4, x1, x3, x2^2, x3*x4*x3*x4 ]
[ x4*x3, x1, x2*x3, x2^2, x3*x4*x3*x4 ]
[ x1*x4, x2, x3, x2^2, x3*x4*x3*x4 ]
[ x4*x3, x1*x3, x2, x2^2, x3*x4*x3*x4 ]
[ x2^3*x4, x1*x2, x3, x2^2, x3*x4*x3*x4 ]
[ x4*x3, x1*x3, x2*x3, x2^2, x3*x4*x3*x4 ]
[ x4, x2, x1, x3*x4*x3*x4, x2^2 ]
[ x4, x2, x3, x3*x4*x3*x4, x2^2 ]
[ x4, x2, x1*x3, x3*x4*x3*x4, x2^2 ]
[ x4, x1, x3, x3*x4*x3*x4, x2^2 ]
[ x4, x2*x3, x1, x3*x4*x3*x4, x2^2 ]
[ x4, x1*x2, x3, x3*x4*x3*x4, x2^2 ]
[ x4, x2*x3, x1*x3, x3*x4*x3*x4, x2^2 ]
[ x2, x1, x3, x3*x4*x3*x4, x2^2 ]
[ x4*x3, x2, x1, x3*x4*x3*x4, x2^2 ]
[ x1*x4, x2, x3, x3*x4*x3*x4, x2^2 ]
[ x4*x3, x2, x1*x3, x3*x4*x3*x4, x2^2 ]
[ x2^3*x4, x1, x3, x3*x4*x3*x4, x2^2 ]
[ x4*x3, x2*x3, x1, x3*x4*x3*x4, x2^2 ]
[ x1*x4, x1*x2, x3, x3*x4*x3*x4, x2^2 ]
[ x4*x3, x2*x3, x1*x3, x3*x4*x3*x4, x2^2 ]
[ x4, x2, x1, x2*x4*x2*x4, x2^2 ]
[ x4, x2, x3, x2*x4*x2*x4, x2^2 ]
[ x4, x2, x1*x3, x2*x4*x2*x4, x2^2 ]
[ x4, x1, x3, x2*x4*x2*x4, x2^2 ]
[ x4, x2*x3, x1, x2*x4*x2*x4, x2^2 ]
[ x4, x1*x2, x3, x2*x4*x2*x4, x2^2 ]
[ x4, x2*x3, x1*x3, x2*x4*x2*x4, x2^2 ]
[ x2, x1, x3, x2*x4*x2*x4, x2^2 ]
[ x2^3*x3*x4*x2, x2, x1, x2*x4*x2*x4, x2^2 ]
[ x1*x4, x2, x3, x2*x4*x2*x4, x2^2 ]
[ x2^3*x3*x4*x2, x2, x1*x3, x2*x4*x2*x4, x2^2 ]
[ x4*x2, x1, x3, x2*x4*x2*x4, x2^2 ]
[ x2^3*x3*x4*x2, x2*x3, x1, x2*x4*x2*x4, x2^2 ]
[ x1*x4, x1*x2, x3, x2*x4*x2*x4, x2^2 ]
[ x2^3*x3*x4*x2, x2*x3, x1*x3, x2*x4*x2*x4, x2^2 ]
[ x3, x1, x2^2, x2^3*x3*x2*x3, x1^2 ]
[ x3, x3*x2*x3, x2^2, x2^3*x3*x2*x3, x1^2 ]
[ x3, x1*x3*x2*x3, x2^2, x2^3*x3*x2*x3, x1^2 ]
[ x1, x3*x2*x3, x2^2, x2^3*x3*x2*x3, x1^2 ]
[ x2*x3, x1, x2^2, x2^3*x3*x2*x3, x1^2 ]
[ x1*x3, x3*x2*x3, x2^2, x2^3*x3*x2*x3, x1^2 ]
[ x2*x3, x1*x3*x2*x3, x2^2, x2^3*x3*x2*x3, x1^2 ]
[ x3, x1, x2^2, x1*x3*x1*x3, x1*x2*x1*x2^3 ]
[ x3, x2, x2^2, x1*x3*x1*x3, x1*x2*x1*x2^3 ]
[ x3, x1*x2, x2^2, x1*x3*x1*x3, x1*x2*x1*x2^3 ]
[ x1, x2, x2^2, x1*x3*x1*x3, x1*x2*x1*x2^3 ]
[ x1*x2*x3*x1, x1, x2^2, x1*x3*x1*x3, x1*x2*x1*x2^3 ]
[ x3*x1, x2, x2^2, x1*x3*x1*x3, x1*x2*x1*x2^3 ]
[ x1*x2*x3*x1, x1*x2, x2^2, x1*x3*x1*x3, x1*x2*x1*x2^3 ]
[ x1^2*x4, x2, x1, x2*x4*x2*x4, x1^2 ]
[ x1^2*x4, x2, x1^2*x3, x2*x4*x2*x4, x1^2 ]
[ x1^2*x4, x2, x1^3*x3, x2*x4*x2*x4, x1^2 ]
[ x1^2*x4, x1, x1^2*x3, x2*x4*x2*x4, x1^2 ]
[ x1^2*x4, x1^2*x2*x3, x1, x2*x4*x2*x4, x1^2 ]
[ x1^2*x4, x1*x2, x1^2*x3, x2*x4*x2*x4, x1^2 ]
[ x1^2*x4, x1^2*x2*x3, x1^3*x3, x2*x4*x2*x4, x1^2 ]
[ x2, x1, x1^2*x3, x2*x4*x2*x4, x1^2 ]
[ x3*x4, x2, x1, x2*x4*x2*x4, x1^2 ]
[ x1^3*x4, x2, x1^2*x3, x2*x4*x2*x4, x1^2 ]
[ x3*x4, x2, x1^3*x3, x2*x4*x2*x4, x1^2 ]
[ x1^2*x4*x2, x1, x1^2*x3, x2*x4*x2*x4, x1^2 ]
[ x3*x4, x1^2*x2*x3, x1, x2*x4*x2*x4, x1^2 ]
[ x1^3*x4, x1*x2, x1^2*x3, x2*x4*x2*x4, x1^2 ]
[ x3*x4, x1^2*x2*x3, x1^3*x3, x2*x4*x2*x4, x1^2 ]
[ x4, x1, x2, x2*x4*x2*x4, x1^2 ]
[ x4, x1, x3, x2*x4*x2*x4, x1^2 ]
[ x4, x1, x2*x3, x2*x4*x2*x4, x1^2 ]
[ x4, x2, x3, x2*x4*x2*x4, x1^2 ]
[ x4, x1*x3, x2, x2*x4*x2*x4, x1^2 ]
[ x4, x1*x2, x3, x2*x4*x2*x4, x1^2 ]
[ x4, x1*x3, x2*x3, x2*x4*x2*x4, x1^2 ]
[ x1, x2, x3, x2*x4*x2*x4, x1^2 ]
[ x2*x3*x4*x2, x1, x2, x2*x4*x2*x4, x1^2 ]
[ x4*x2, x1, x3, x2*x4*x2*x4, x1^2 ]
[ x2*x3*x4*x2, x1, x2*x3, x2*x4*x2*x4, x1^2 ]
[ x1^3*x4, x2, x3, x2*x4*x2*x4, x1^2 ]
[ x2*x3*x4*x2, x1*x3, x2, x2*x4*x2*x4, x1^2 ]
[ x4*x2, x1*x2, x3, x2*x4*x2*x4, x1^2 ]
[ x2*x3*x4*x2, x1*x3, x2*x3, x2*x4*x2*x4, x1^2 ]
[ x3, x1, x1^2, x2*x1*x2*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x3, x2, x1^2, x2*x1*x2*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x3, x1*x2, x1^2, x2*x1*x2*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x1, x2, x1^2, x2*x1*x2*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x1*x2*x3*x1, x1, x1^2, x2*x1*x2*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x3*x1, x2, x1^2, x2*x1*x2*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x1*x2*x3*x1, x1*x2, x1^2, x2*x1*x2*x3*x1*x3, x1^3*x2*x1*x2 ]
[ x3, x2*x1*x2, x2*x1*x2*x3*x1*x3, x2*x3*x2*x3, x1*x2*x1*x2 ]
[ x3, x2*x1*x3*x1*x3, x2*x1*x2*x3*x1*x3, x2*x3*x2*x3, x1*x2*x1*x2 ]
[ x3, x2*x3*x1*x3, x2*x1*x2*x3*x1*x3, x2*x3*x2*x3, x1*x2*x1*x2 ]
[ x2*x1*x2, x2*x1*x3*x1*x3, x2*x1*x2*x3*x1*x3, x2*x3*x2*x3, x1*x2*x1*x2 ]
[ x1*x3*x1*x2, x2*x1*x2, x2*x1*x2*x3*x1*x3, x2*x3*x2*x3, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x3*x1, x2*x1*x3*x1*x3, x2*x1*x2*x3*x1*x3, x2*x3*x2*x3,
x1*x2*x1*x2 ]
[ x1*x3*x1*x2, x2*x3*x1*x3, x2*x1*x2*x3*x1*x3, x2*x3*x2*x3, x1*x2*x1*x2 ]
[ x3, x1*x3^2, x2*x3*x2*x3, x2*x1*x3*x1*x2*x3, x1*x2*x1*x2 ]
[ x3, x2, x2*x3*x2*x3, x2*x1*x3*x1*x2*x3, x1*x2*x1*x2 ]
[ x3, x1*x2*x3^2, x2*x3*x2*x3, x2*x1*x3*x1*x2*x3, x1*x2*x1*x2 ]
[ x1*x3^2, x2, x2*x3*x2*x3, x2*x1*x3*x1*x2*x3, x1*x2*x1*x2 ]
[ x3*x2, x1*x3^2, x2*x3*x2*x3, x2*x1*x3*x1*x2*x3, x1*x2*x1*x2 ]
[ x1*x3, x2, x2*x3*x2*x3, x2*x1*x3*x1*x2*x3, x1*x2*x1*x2 ]
[ x3*x2, x1*x2*x3^2, x2*x3*x2*x3, x2*x1*x3*x1*x2*x3, x1*x2*x1*x2 ]
[ x3, x1*x2*x3*x2*x3, x3^2, x2*x3*x2*x3, x1*x2*x1*x2 ]
[ x3, x2, x3^2, x2*x3*x2*x3, x1*x2*x1*x2 ]
[ x3, x1*x3*x2*x3, x3^2, x2*x3*x2*x3, x1*x2*x1*x2 ]
[ x1*x2*x3*x2*x3, x2, x3^2, x2*x3*x2*x3, x1*x2*x1*x2 ]
[ x3*x2, x1*x2*x3*x2*x3, x3^2, x2*x3*x2*x3, x1*x2*x1*x2 ]
[ x1*x3, x2, x3^2, x2*x3*x2*x3, x1*x2*x1*x2 ]
[ x3*x2, x1*x3*x2*x3, x3^2, x2*x3*x2*x3, x1*x2*x1*x2 ]
[ x3, x1, x1^2, x3^2, x1^3*x2*x1*x2 ]
[ x3, x2, x1^2, x3^2, x1^3*x2*x1*x2 ]
[ x3, x1*x2, x1^2, x3^2, x1^3*x2*x1*x2 ]
[ x1, x2, x1^2, x3^2, x1^3*x2*x1*x2 ]
[ x1*x2*x3*x1, x1, x1^2, x3^2, x1^3*x2*x1*x2 ]
[ x3*x1, x2, x1^2, x3^2, x1^3*x2*x1*x2 ]
[ x1*x2*x3*x1, x1*x2, x1^2, x3^2, x1^3*x2*x1*x2 ]
[ x3, x1, x1*x3*x1*x3, x3^2, x1^2 ]
[ x3, x2, x1*x3*x1*x3, x3^2, x1^2 ]
[ x3, x1*x2, x1*x3*x1*x3, x3^2, x1^2 ]
[ x1, x2, x1*x3*x1*x3, x3^2, x1^2 ]
[ x3*x2, x1, x1*x3*x1*x3, x3^2, x1^2 ]
[ x3*x1, x2, x1*x3*x1*x3, x3^2, x1^2 ]
[ x3*x2, x1*x2, x1*x3*x1*x3, x3^2, x1^2 ]
[ x1*x2*x1*x2*x3, x1^2*x2*x1*x2, x2*x3*x2*x3, x1^2, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x3, x2, x2*x3*x2*x3, x1^2, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x3, x2*x1, x2*x3*x2*x3, x1^2, x1*x2*x1*x2 ]
[ x1^2*x2*x1*x2, x2, x2*x3*x2*x3, x1^2, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x3*x2, x1^2*x2*x1*x2, x2*x3*x2*x3, x1^2, x1*x2*x1*x2 ]
[ x2*x1*x2*x3, x2, x2*x3*x2*x3, x1^2, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x3*x2, x2*x1, x2*x3*x2*x3, x1^2, x1*x2*x1*x2 ]
gap> LogTo();