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.12/(1)^2(4)^1(12)^3/min.365");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -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 := 12 )
gap> P1 := Group(R.generators);
<matrix group with 1 generators>
gap> Append(names,["ordnung.12/(1)^2(4)^1(12)^3/words.min.365"]);
gap> Append(GROUPS,[P1]);
gap> R := CaratReadBravaisFile("ordnung.12/(1)^2(4)^1(12)^3/min.366");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 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 := 12 )
gap> P2 := Group(R.generators);
<matrix group with 1 generators>
gap> Append(names,["ordnung.12/(1)^2(4)^1(12)^3/words.min.366"]);
gap> Append(GROUPS,[P2]);
gap> R := CaratReadBravaisFile("ordnung.12/(1)^4(12)^2(36)^2/min.367");
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, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 12 )
gap> P3 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.12/(1)^4(12)^2(36)^2/words.min.367"]);
gap> Append(GROUPS,[P3]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^2(2)^4(4)^1(12)^1/group.2028");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -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 := 192 )
gap> P4 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.192/(1)^2(2)^4(4)^1(12)^1/words.group.2028"]);
gap> Append(GROUPS,[P4]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^2(12)^2/group.2029");
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, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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 := 192 )
gap> P5 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^2(12)^2/words.group.2029"]);
gap> Append(GROUPS,[P5]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^3(6)^1(12)^1(36)^1/group.2030");
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, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 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, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 192 )
gap> P6 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^3(6)^1(12)^1(36)^1/words.group.2030"]);
gap> Append(GROUPS,[P6]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(12)^2/group.2031");
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, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 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, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 192 )
gap> P7 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(12)^2/words.group.2031"]);
gap> Append(GROUPS,[P7]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(12)^2/group.2032");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 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 := 192 )
gap> P8 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(12)^2/words.group.2032"]);
gap> Append(GROUPS,[P8]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(12)^2/group.2033");
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, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 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, 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, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 192 )
gap> P9 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(12)^2/words.group.2033"]);
gap> Append(GROUPS,[P9]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(12)^2/group.2034");
rec(
generators := [ [ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 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, 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 := 192 )
gap> P10 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(12)^2/words.group.2034"]);
gap> Append(GROUPS,[P10]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(12)^2/group.2035");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
, [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 := 192 )
gap> P11 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(12)^2/words.group.2035"]);
gap> Append(GROUPS,[P11]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(12)^2/group.2036");
rec(
generators := [ [ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ -1, 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, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 192 )
gap> P12 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(12)^2/words.group.2036"]);
gap> Append(GROUPS,[P12]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(12)^2/group.2037");
rec(
generators := [ [ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 192 )
gap> P13 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(12)^2/words.group.2037"]);
gap> Append(GROUPS,[P13]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(12)^2/group.2038");
rec(
generators := [ [ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 192 )
gap> P14 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(12)^2/words.group.2038"]);
gap> Append(GROUPS,[P14]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(12)^2/group.2039");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 1, 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, -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 := 192 )
gap> P15 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(12)^2/words.group.2039"]);
gap> Append(GROUPS,[P15]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(12)^2/group.2040");
rec(
generators := [ [ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 := 192 )
gap> P16 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(12)^2/words.group.2040"]);
gap> Append(GROUPS,[P16]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(12)^2/group.2041");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 := 192 )
gap> P17 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(12)^2/words.group.2041"]);
gap> Append(GROUPS,[P17]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(12)^2/group.2042");
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, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
, [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 192 )
gap> P18 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(12)^2/words.group.2042"]);
gap> Append(GROUPS,[P18]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(12)^2/group.2043");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 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 := 192 )
gap> P19 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(12)^2/words.group.2043"]);
gap> Append(GROUPS,[P19]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(12)^2/group.2044");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 := 192 )
gap> P20 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(12)^2/words.group.2044"]);
gap> Append(GROUPS,[P20]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(12)^2/group.2045");
rec(
generators := [ [ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, 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, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 192 )
gap> P21 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(12)^2/words.group.2045"]);
gap> Append(GROUPS,[P21]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(12)^2/group.2046");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
, [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 192 )
gap> P22 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(12)^2/words.group.2046"]);
gap> Append(GROUPS,[P22]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(12)^2/group.2047");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, -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 := 192 )
gap> P23 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(12)^2/words.group.2047"]);
gap> Append(GROUPS,[P23]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(12)^2/group.2048");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 := 192 )
gap> P24 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(12)^2/words.group.2048"]);
gap> Append(GROUPS,[P24]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(12)^2/group.2049");
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, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 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, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 192 )
gap> P25 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(12)^2/words.group.2049"]);
gap> Append(GROUPS,[P25]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(24)^2/group.2050");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
, [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -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 := 192 )
gap> P26 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(24)^2/words.group.2050"]);
gap> Append(GROUPS,[P26]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(24)^2/group.2051");
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, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
, [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 192 )
gap> P27 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(24)^2/words.group.2051"]);
gap> Append(GROUPS,[P27]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^1(6)^1(12)^2/group.2052");
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, -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 := 24 )
gap> P28 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^1(6)^1(12)^2/words.group.2052"]);
gap> Append(GROUPS,[P28]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^1(6)^1(12)^2/group.2053");
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, -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 := 24 )
gap> P29 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^1(6)^1(12)^2/words.group.2053"]);
gap> Append(GROUPS,[P29]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^1(6)^1(12)^2/group.2054");
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, 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 := 24 )
gap> P30 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^1(6)^1(12)^2/words.group.2054"]);
gap> Append(GROUPS,[P30]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^1(6)^1(12)^2/group.2055");
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, 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 := 24 )
gap> P31 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^1(6)^1(12)^2/words.group.2055"]);
gap> Append(GROUPS,[P31]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^2(4)^1(12)^1/group.2056");
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, 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 := 24 )
gap> P32 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^2(4)^1(12)^1/words.group.2056"]);
gap> Append(GROUPS,[P32]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^2(4)^1(12)^1/group.2057");
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, 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 := 24 )
gap> P33 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^2(4)^1(12)^1/words.group.2057"]);
gap> Append(GROUPS,[P33]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^2(4)^1(12)^1/group.2058");
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, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 24 )
gap> P34 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^2(4)^1(12)^1/words.group.2058"]);
gap> Append(GROUPS,[P34]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^2(4)^1(12)^1/group.2059");
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, -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 := 24 )
gap> P35 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^2(4)^1(12)^1/words.group.2059"]);
gap> Append(GROUPS,[P35]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^3(6)^1(24)^2/group.2060");
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, -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 := 24 )
gap> P36 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^3(6)^1(24)^2/words.group.2060"]);
gap> Append(GROUPS,[P36]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^3(6)^1(24)^2/group.2061");
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, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 24 )
gap> P37 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^3(6)^1(24)^2/words.group.2061"]);
gap> Append(GROUPS,[P37]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^3(6)^1(24)^2/group.2062");
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, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 24 )
gap> P38 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^3(6)^1(24)^2/words.group.2062"]);
gap> Append(GROUPS,[P38]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^3(6)^1(24)^2/group.2063");
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, -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 := 24 )
gap> P39 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^3(6)^1(24)^2/words.group.2063"]);
gap> Append(GROUPS,[P39]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^3(6)^1(24)^2/min.368");
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, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 24 )
gap> P40 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^3(6)^1(24)^2/words.min.368"]);
gap> Append(GROUPS,[P40]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^3(6)^1(24)^2/min.369");
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, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 24 )
gap> P41 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^3(6)^1(24)^2/words.min.369"]);
gap> Append(GROUPS,[P41]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^3(6)^1(24)^2/min.370");
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, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 24 )
gap> P42 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^3(6)^1(24)^2/words.min.370"]);
gap> Append(GROUPS,[P42]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^4(8)^1(24)^1/group.2064");
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, -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 := 24 )
gap> P43 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^4(8)^1(24)^1/words.group.2064"]);
gap> Append(GROUPS,[P43]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^4(8)^1(24)^1/group.2065");
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, -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 := 24 )
gap> P44 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^4(8)^1(24)^1/words.group.2065"]);
gap> Append(GROUPS,[P44]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^4(8)^1(24)^1/group.2066");
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, 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 := 24 )
gap> P45 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^4(8)^1(24)^1/words.group.2066"]);
gap> Append(GROUPS,[P45]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^4(8)^1(24)^1/group.2067");
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, -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 := 24 )
gap> P46 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^4(8)^1(24)^1/words.group.2067"]);
gap> Append(GROUPS,[P46]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^4(8)^1(24)^1/min.371");
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, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 24 )
gap> P47 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^4(8)^1(24)^1/words.min.371"]);
gap> Append(GROUPS,[P47]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^4(8)^1(24)^1/min.372");
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, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 24 )
gap> P48 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^4(8)^1(24)^1/words.min.372"]);
gap> Append(GROUPS,[P48]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(2)^4(8)^1(24)^1/min.373");
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, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 24 )
gap> P49 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^2(2)^4(8)^1(24)^1/words.min.373"]);
gap> Append(GROUPS,[P49]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(4)^1(12)^3/group.2068");
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, -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 := 24 )
gap> P50 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^2(4)^1(12)^3/words.group.2068"]);
gap> Append(GROUPS,[P50]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(4)^3(12)^1/group.2069");
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, 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 := 24 )
gap> P51 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^2(4)^3(12)^1/words.group.2069"]);
gap> Append(GROUPS,[P51]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(4)^3(12)^1/group.2070");
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, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 24 )
gap> P52 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^2(4)^3(12)^1/words.group.2070"]);
gap> Append(GROUPS,[P52]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(4)^3(12)^1/group.2071");
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, -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 := 24 )
gap> P53 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^2(4)^3(12)^1/words.group.2071"]);
gap> Append(GROUPS,[P53]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(12)^2(36)^2/group.2072");
rec(
generators := [ [ [ -1, 1, 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, -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 := 24 )
gap> P54 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(12)^2(36)^2/words.group.2072"]);
gap> Append(GROUPS,[P54]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^1(6)^1(12)^1(36)^1/group.2073");
rec(
generators := [ [ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 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 := 24 )
gap> P55 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^1(6)^1(12)^1(36)^1/words.group.2073"]);
gap> Append(GROUPS,[P55]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^1(6)^1(12)^1(36)^1/group.2074");
rec(
generators := [ [ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, -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 := 24 )
gap> P56 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^1(6)^1(12)^1(36)^1/words.group.2074"]);
gap> Append(GROUPS,[P56]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^1(6)^1(12)^1(36)^1/group.2075");
rec(
generators := [ [ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, -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 := 24 )
gap> P57 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^1(6)^1(12)^1(36)^1/words.group.2075"]);
gap> Append(GROUPS,[P57]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^1(6)^1(12)^1(36)^1/group.2076");
rec(
generators := [ [ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 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 := 24 )
gap> P58 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^1(6)^1(12)^1(36)^1/words.group.2076"]);
gap> Append(GROUPS,[P58]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^1(6)^1(12)^1(36)^1/group.2077");
rec(
generators := [ [ [ -1, 1, 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, 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 := 24 )
gap> P59 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^1(6)^1(12)^1(36)^1/words.group.2077"]);
gap> Append(GROUPS,[P59]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^1(6)^1(12)^1(36)^1/group.2078");
rec(
generators := [ [ [ -1, 1, 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, -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 := 24 )
gap> P60 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^1(6)^1(12)^1(36)^1/words.group.2078"]);
gap> Append(GROUPS,[P60]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^1(6)^1(12)^1(36)^1/group.2079");
rec(
generators := [ [ [ -1, 1, 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, -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 := 24 )
gap> P61 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^1(6)^1(12)^1(36)^1/words.group.2079"]);
gap> Append(GROUPS,[P61]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^1(6)^1(12)^1(36)^1/group.2080");
rec(
generators := [ [ [ -1, 1, 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, 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 := 24 )
gap> P62 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^1(6)^1(12)^1(36)^1/words.group.2080"]);
gap> Append(GROUPS,[P62]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^2(12)^2/group.2081");
rec(
generators := [ [ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, -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 := 24 )
gap> P63 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^2(12)^2/words.group.2081"]);
gap> Append(GROUPS,[P63]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^2(12)^2/group.2082");
rec(
generators := [ [ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 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 := 24 )
gap> P64 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^2(12)^2/words.group.2082"]);
gap> Append(GROUPS,[P64]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^2(6)^2(72)^2/group.2083");
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, 1, 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 := 24 )
gap> P65 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^2(6)^2(72)^2/words.group.2083"]);
gap> Append(GROUPS,[P65]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^2(6)^2(72)^2/group.2084");
rec(
generators := [ [ [ -1, 1, 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, 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 := 24 )
gap> P66 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^2(6)^2(72)^2/words.group.2084"]);
gap> Append(GROUPS,[P66]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^2(6)^2(72)^2/min.374");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -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 := 24 )
gap> P67 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^2(6)^2(72)^2/words.min.374"]);
gap> Append(GROUPS,[P67]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^2(6)^2(72)^2/min.375");
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 ], [ 1, -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 := 24 )
gap> P68 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^2(6)^2(72)^2/words.min.375"]);
gap> Append(GROUPS,[P68]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^3(6)^1(24)^1(72)^1/group.2085");
rec(
generators := [ [ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 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 := 24 )
gap> P69 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^3(6)^1(24)^1(72)^1/words.group.2085"]);
gap> Append(GROUPS,[P69]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^3(6)^1(24)^1(72)^1/group.2086");
rec(
generators := [ [ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, -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 := 24 )
gap> P70 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^3(6)^1(24)^1(72)^1/words.group.2086"]);
gap> Append(GROUPS,[P70]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^3(6)^1(24)^1(72)^1/group.2087");
rec(
generators := [ [ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, -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 := 24 )
gap> P71 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^3(6)^1(24)^1(72)^1/words.group.2087"]);
gap> Append(GROUPS,[P71]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^3(6)^1(24)^1(72)^1/group.2088");
rec(
generators := [ [ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 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 := 24 )
gap> P72 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^3(6)^1(24)^1(72)^1/words.group.2088"]);
gap> Append(GROUPS,[P72]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^3(6)^1(24)^1(72)^1/group.2089");
rec(
generators := [ [ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0,
-1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 24 )
gap> P73 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^3(6)^1(24)^1(72)^1/words.group.2089"]);
gap> Append(GROUPS,[P73]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^3(6)^1(24)^1(72)^1/group.2090");
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, 1, 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 := 24 )
gap> P74 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^3(6)^1(24)^1(72)^1/words.group.2090"]);
gap> Append(GROUPS,[P74]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^3(6)^1(24)^1(72)^1/group.2091");
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, 1, 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 := 24 )
gap> P75 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^3(6)^1(24)^1(72)^1/words.group.2091"]);
gap> Append(GROUPS,[P75]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^3(6)^1(24)^1(72)^1/group.2092");
rec(
generators := [ [ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0,
-1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 24 )
gap> P76 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^3(6)^1(24)^1(72)^1/words.group.2092"]);
gap> Append(GROUPS,[P76]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^3(6)^1(24)^1(72)^1/min.376");
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 ], [ -1, 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 := 24 )
gap> P77 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^3(6)^1(24)^1(72)^1/words.min.376"]);
gap> Append(GROUPS,[P77]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^3(6)^1(24)^1(72)^1/min.377");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -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 := 24 )
gap> P78 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^3(6)^1(24)^1(72)^1/words.min.377"]);
gap> Append(GROUPS,[P78]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^3(6)^1(24)^1(72)^1/min.378");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 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 := 24 )
gap> P79 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^3(6)^1(24)^1(72)^1/words.min.378"]);
gap> Append(GROUPS,[P79]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^3(6)^1(24)^1(72)^1/min.379");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0,
-1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 24 )
gap> P80 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^3(6)^1(24)^1(72)^1/words.min.379"]);
gap> Append(GROUPS,[P80]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^4(24)^2/group.2093");
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, -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 := 24 )
gap> P81 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^4(24)^2/words.group.2093"]);
gap> Append(GROUPS,[P81]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^4(24)^2/group.2094");
rec(
generators := [ [ [ 1, -1, 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, 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 := 24 )
gap> P82 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^4(24)^2/words.group.2094"]);
gap> Append(GROUPS,[P82]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^4(24)^2/min.380");
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, -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 := 24 )
gap> P83 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^4(24)^2/words.min.380"]);
gap> Append(GROUPS,[P83]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(2)^4(24)^2/min.381");
rec(
generators := [ [ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 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 := 24 )
gap> P84 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(2)^4(24)^2/words.min.381"]);
gap> Append(GROUPS,[P84]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(4)^1(12)^2(36)^1/group.2095");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -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 := 24 )
gap> P85 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(4)^1(12)^2(36)^1/words.group.2095"]);
gap> Append(GROUPS,[P85]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(4)^1(12)^2(36)^1/group.2096");
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 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 24 )
gap> P86 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(4)^1(12)^2(36)^1/words.group.2096"]);
gap> Append(GROUPS,[P86]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(4)^1(12)^2(36)^1/group.2097");
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, 1, 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 := 24 )
gap> P87 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(4)^1(12)^2(36)^1/words.group.2097"]);
gap> Append(GROUPS,[P87]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(4)^1(12)^2(36)^1/group.2098");
rec(
generators := [ [ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0,
-1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 24 )
gap> P88 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(4)^1(12)^2(36)^1/words.group.2098"]);
gap> Append(GROUPS,[P88]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(4)^2(12)^2/group.2099");
rec(
generators := [ [ [ -1, 1, 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, 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 := 24 )
gap> P89 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(4)^2(12)^2/words.group.2099"]);
gap> Append(GROUPS,[P89]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(4)^2(12)^2/group.2100");
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, -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 := 24 )
gap> P90 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(4)^2(12)^2/words.group.2100"]);
gap> Append(GROUPS,[P90]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(6)^2(36)^2/group.2101");
rec(
generators := [ [ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 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 := 24 )
gap> P91 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(6)^2(36)^2/words.group.2101"]);
gap> Append(GROUPS,[P91]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(6)^2(36)^2/group.2102");
rec(
generators := [ [ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, -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 := 24 )
gap> P92 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(6)^2(36)^2/words.group.2102"]);
gap> Append(GROUPS,[P92]);
gap> R := CaratReadBravaisFile("ordnung.384/(1)^4(2)^4(12)^2/group.2103");
rec(
generators := [ [ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 384 )
gap> P93 := Group(R.generators);
<matrix group with 6 generators>
gap> Append(names,["ordnung.384/(1)^4(2)^4(12)^2/words.group.2103"]);
gap> Append(GROUPS,[P93]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^1(6)^1(12)^2/group.2104");
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, -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 := 48 )
gap> P94 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^1(6)^1(12)^2/words.group.2104"]);
gap> Append(GROUPS,[P94]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^2(4)^1(12)^1/group.2105");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 48 )
gap> P95 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^2(4)^1(12)^1/words.group.2105"]);
gap> Append(GROUPS,[P95]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^2(4)^1(12)^1/group.2106");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 48 )
gap> P96 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^2(4)^1(12)^1/words.group.2106"]);
gap> Append(GROUPS,[P96]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^2(4)^1(12)^1/group.2107");
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, -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 := 48 )
gap> P97 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^2(4)^1(12)^1/words.group.2107"]);
gap> Append(GROUPS,[P97]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^2(4)^1(12)^1/group.2108");
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, -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 := 48 )
gap> P98 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^2(4)^1(12)^1/words.group.2108"]);
gap> Append(GROUPS,[P98]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^2(4)^1(12)^1/group.2109");
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, 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 := 48 )
gap> P99 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^2(4)^1(12)^1/words.group.2109"]);
gap> Append(GROUPS,[P99]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^2(4)^1(12)^1/group.2110");
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, 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 := 48 )
gap> P100 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^2(4)^1(12)^1/words.group.2110"]);
gap> Append(GROUPS,[P100]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^2(4)^1(12)^1/group.2111");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 48 )
gap> P101 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^2(4)^1(12)^1/words.group.2111"]);
gap> Append(GROUPS,[P101]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^3(6)^1(12)^2/group.2112");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 48 )
gap> P102 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^3(6)^1(12)^2/words.group.2112"]);
gap> Append(GROUPS,[P102]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^3(6)^1(12)^2/group.2113");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 48 )
gap> P103 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^3(6)^1(12)^2/words.group.2113"]);
gap> Append(GROUPS,[P103]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^3(6)^1(12)^2/group.2114");
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, -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 := 48 )
gap> P104 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^3(6)^1(12)^2/words.group.2114"]);
gap> Append(GROUPS,[P104]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^3(6)^1(12)^2/group.2115");
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, -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 := 48 )
gap> P105 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^3(6)^1(12)^2/words.group.2115"]);
gap> Append(GROUPS,[P105]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^3(6)^1(12)^2/group.2116");
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, -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 := 48 )
gap> P106 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^3(6)^1(12)^2/words.group.2116"]);
gap> Append(GROUPS,[P106]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^3(6)^1(12)^2/group.2117");
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, -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 := 48 )
gap> P107 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^3(6)^1(12)^2/words.group.2117"]);
gap> Append(GROUPS,[P107]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^3(6)^1(24)^2/group.2118");
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, -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 := 48 )
gap> P108 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^3(6)^1(24)^2/words.group.2118"]);
gap> Append(GROUPS,[P108]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^3(6)^1(24)^2/group.2119");
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, -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 := 48 )
gap> P109 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^3(6)^1(24)^2/words.group.2119"]);
gap> Append(GROUPS,[P109]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^4(4)^1(12)^1/group.2120");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P110 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^4(4)^1(12)^1/words.group.2120"]);
gap> Append(GROUPS,[P110]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^4(4)^1(12)^1/group.2121");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 48 )
gap> P111 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^4(4)^1(12)^1/words.group.2121"]);
gap> Append(GROUPS,[P111]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^4(4)^1(12)^1/group.2122");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 48 )
gap> P112 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^4(4)^1(12)^1/words.group.2122"]);
gap> Append(GROUPS,[P112]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^4(4)^1(12)^1/group.2123");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P113 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^4(4)^1(12)^1/words.group.2123"]);
gap> Append(GROUPS,[P113]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^4(4)^1(12)^1/group.2124");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 48 )
gap> P114 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^4(4)^1(12)^1/words.group.2124"]);
gap> Append(GROUPS,[P114]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^4(4)^1(12)^1/group.2125");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 48 )
gap> P115 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^4(4)^1(12)^1/words.group.2125"]);
gap> Append(GROUPS,[P115]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^4(4)^1(12)^1/group.2126");
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, -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 := 48 )
gap> P116 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^4(4)^1(12)^1/words.group.2126"]);
gap> Append(GROUPS,[P116]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^4(4)^1(12)^1/group.2127");
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, -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 := 48 )
gap> P117 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^4(4)^1(12)^1/words.group.2127"]);
gap> Append(GROUPS,[P117]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^4(4)^1(12)^1/group.2128");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 48 )
gap> P118 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^4(4)^1(12)^1/words.group.2128"]);
gap> Append(GROUPS,[P118]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^4(4)^1(12)^1/group.2129");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P119 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^4(4)^1(12)^1/words.group.2129"]);
gap> Append(GROUPS,[P119]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^4(4)^1(12)^1/group.2130");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 48 )
gap> P120 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^4(4)^1(12)^1/words.group.2130"]);
gap> Append(GROUPS,[P120]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^4(4)^1(12)^1/group.2131");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0,
1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 48 )
gap> P121 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^4(4)^1(12)^1/words.group.2131"]);
gap> Append(GROUPS,[P121]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^4(4)^1(12)^1/group.2132");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 48 )
gap> P122 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^4(4)^1(12)^1/words.group.2132"]);
gap> Append(GROUPS,[P122]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^4(4)^1(12)^1/group.2133");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0,
1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 48 )
gap> P123 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^4(4)^1(12)^1/words.group.2133"]);
gap> Append(GROUPS,[P123]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^4(8)^1(24)^1/group.2134");
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, -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 := 48 )
gap> P124 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^4(8)^1(24)^1/words.group.2134"]);
gap> Append(GROUPS,[P124]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^4(8)^1(24)^1/group.2135");
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, -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 := 48 )
gap> P125 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^4(8)^1(24)^1/words.group.2135"]);
gap> Append(GROUPS,[P125]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^4(8)^1(24)^1/group.2136");
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, -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 := 48 )
gap> P126 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^4(8)^1(24)^1/words.group.2136"]);
gap> Append(GROUPS,[P126]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^4(8)^1(24)^1/group.2137");
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, -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 := 48 )
gap> P127 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^4(8)^1(24)^1/words.group.2137"]);
gap> Append(GROUPS,[P127]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^4(8)^1(24)^1/group.2138");
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, -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 := 48 )
gap> P128 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^4(8)^1(24)^1/words.group.2138"]);
gap> Append(GROUPS,[P128]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^4(8)^1(24)^1/group.2139");
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, 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 := 48 )
gap> P129 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^4(8)^1(24)^1/words.group.2139"]);
gap> Append(GROUPS,[P129]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^4(8)^1(24)^1/group.2140");
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, -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 := 48 )
gap> P130 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^4(8)^1(24)^1/words.group.2140"]);
gap> Append(GROUPS,[P130]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^4(8)^1(24)^1/group.2141");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P131 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^4(8)^1(24)^1/words.group.2141"]);
gap> Append(GROUPS,[P131]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^4(8)^1(24)^1/group.2142");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P132 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^4(8)^1(24)^1/words.group.2142"]);
gap> Append(GROUPS,[P132]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^4(8)^1(24)^1/group.2143");
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, -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 := 48 )
gap> P133 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^4(8)^1(24)^1/words.group.2143"]);
gap> Append(GROUPS,[P133]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^4(8)^1(24)^1/group.2144");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P134 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^4(8)^1(24)^1/words.group.2144"]);
gap> Append(GROUPS,[P134]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^4(8)^1(24)^1/group.2145");
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, 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 := 48 )
gap> P135 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^4(8)^1(24)^1/words.group.2145"]);
gap> Append(GROUPS,[P135]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^4(8)^1(24)^1/group.2146");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 48 )
gap> P136 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^4(8)^1(24)^1/words.group.2146"]);
gap> Append(GROUPS,[P136]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(4)^3(12)^1/group.2147");
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, -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 := 48 )
gap> P137 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(4)^3(12)^1/words.group.2147"]);
gap> Append(GROUPS,[P137]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^1(6)^1(12)^1(36)^1/group.2148");
rec(
generators := [ [ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, -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 := 48 )
gap> P138 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^1(6)^1(12)^1(36)^1/words.group.2148"]);
gap> Append(GROUPS,[P138]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^1(6)^1(12)^1(36)^1/group.2149");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, -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 := 48 )
gap> P139 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^1(6)^1(12)^1(36)^1/words.group.2149"]);
gap> Append(GROUPS,[P139]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^1(6)^1(12)^1(36)^1/group.2150");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -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 := 48 )
gap> P140 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^1(6)^1(12)^1(36)^1/words.group.2150"]);
gap> Append(GROUPS,[P140]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^1(6)^1(12)^1(36)^1/group.2151");
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, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, -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 := 48 )
gap> P141 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^1(6)^1(12)^1(36)^1/words.group.2151"]);
gap> Append(GROUPS,[P141]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^1(6)^1(12)^1(36)^1/group.2152");
rec(
generators := [ [ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 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 := 48 )
gap> P142 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^1(6)^1(12)^1(36)^1/words.group.2152"]);
gap> Append(GROUPS,[P142]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^1(6)^1(12)^1(36)^1/group.2153");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 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 := 48 )
gap> P143 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^1(6)^1(12)^1(36)^1/words.group.2153"]);
gap> Append(GROUPS,[P143]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^1(6)^1(12)^1(36)^1/group.2154");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 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 := 48 )
gap> P144 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^1(6)^1(12)^1(36)^1/words.group.2154"]);
gap> Append(GROUPS,[P144]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^1(6)^1(12)^1(36)^1/group.2155");
rec(
generators := [ [ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, 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 := 48 )
gap> P145 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^1(6)^1(12)^1(36)^1/words.group.2155"]);
gap> Append(GROUPS,[P145]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^1(6)^1(12)^1(36)^1/group.2156");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 := 48 )
gap> P146 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^1(6)^1(12)^1(36)^1/words.group.2156"]);
gap> Append(GROUPS,[P146]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^1(6)^1(12)^1(36)^1/group.2157");
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, 1, 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, 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 := 48 )
gap> P147 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^1(6)^1(12)^1(36)^1/words.group.2157"]);
gap> Append(GROUPS,[P147]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^2(12)^2/group.2158");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 := 48 )
gap> P148 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^2(12)^2/words.group.2158"]);
gap> Append(GROUPS,[P148]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^2(12)^2/group.2159");
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, 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 := 48 )
gap> P149 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^2(12)^2/words.group.2159"]);
gap> Append(GROUPS,[P149]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^2(12)^2/group.2160");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 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, -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 := 48 )
gap> P150 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^2(12)^2/words.group.2160"]);
gap> Append(GROUPS,[P150]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^2(12)^2/group.2161");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 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, 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 := 48 )
gap> P151 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^2(12)^2/words.group.2161"]);
gap> Append(GROUPS,[P151]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^2(12)^2/group.2162");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 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 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 48 )
gap> P152 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^2(12)^2/words.group.2162"]);
gap> Append(GROUPS,[P152]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^2(12)^2/group.2163");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 48 )
gap> P153 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^2(12)^2/words.group.2163"]);
gap> Append(GROUPS,[P153]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^2(12)^2/group.2164");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, -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 := 48 )
gap> P154 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^2(12)^2/words.group.2164"]);
gap> Append(GROUPS,[P154]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^2(12)^2/group.2165");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, -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 := 48 )
gap> P155 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^2(12)^2/words.group.2165"]);
gap> Append(GROUPS,[P155]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^2(12)^2/group.2166");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -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 := 48 )
gap> P156 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^2(12)^2/words.group.2166"]);
gap> Append(GROUPS,[P156]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^2(12)^2/group.2167");
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 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 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 := 48 )
gap> P157 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^2(12)^2/words.group.2167"]);
gap> Append(GROUPS,[P157]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^2(12)^2/group.2168");
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 ], [ 1, -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, 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 := 48 )
gap> P158 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^2(12)^2/words.group.2168"]);
gap> Append(GROUPS,[P158]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^2(12)^2/group.2169");
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 ], [ 1, -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, -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 := 48 )
gap> P159 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^2(12)^2/words.group.2169"]);
gap> Append(GROUPS,[P159]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^2(12)^2/group.2170");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 48 )
gap> P160 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^2(12)^2/words.group.2170"]);
gap> Append(GROUPS,[P160]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^2(12)^2/group.2171");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 48 )
gap> P161 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^2(12)^2/words.group.2171"]);
gap> Append(GROUPS,[P161]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^2(12)^2/group.2172");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 := 48 )
gap> P162 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^2(12)^2/words.group.2172"]);
gap> Append(GROUPS,[P162]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^2(12)^2/group.2173");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 := 48 )
gap> P163 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^2(12)^2/words.group.2173"]);
gap> Append(GROUPS,[P163]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^2(12)^2/group.2174");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, -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 := 48 )
gap> P164 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^2(12)^2/words.group.2174"]);
gap> Append(GROUPS,[P164]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^2(12)^2/group.2175");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, 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 := 48 )
gap> P165 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^2(12)^2/words.group.2175"]);
gap> Append(GROUPS,[P165]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^2(12)^2/group.2176");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 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 := 48 )
gap> P166 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^2(12)^2/words.group.2176"]);
gap> Append(GROUPS,[P166]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^2(12)^2/group.2177");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 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 := 48 )
gap> P167 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^2(12)^2/words.group.2177"]);
gap> Append(GROUPS,[P167]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^2(12)^2/group.2178");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, 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 := 48 )
gap> P168 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^2(12)^2/words.group.2178"]);
gap> Append(GROUPS,[P168]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^2(6)^2(36)^2/group.2179");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 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 := 48 )
gap> P169 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^2(6)^2(36)^2/words.group.2179"]);
gap> Append(GROUPS,[P169]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^2(6)^2(36)^2/group.2180");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, 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 := 48 )
gap> P170 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^2(6)^2(36)^2/words.group.2180"]);
gap> Append(GROUPS,[P170]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^2(6)^2(36)^2/group.2181");
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, -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 := 48 )
gap> P171 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^2(6)^2(36)^2/words.group.2181"]);
gap> Append(GROUPS,[P171]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^2(6)^2(72)^2/group.2182");
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 ]
],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 48 )
gap> P172 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^2(6)^2(72)^2/words.group.2182"]);
gap> Append(GROUPS,[P172]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^2(6)^2(72)^2/group.2183");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 := 48 )
gap> P173 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^2(6)^2(72)^2/words.group.2183"]);
gap> Append(GROUPS,[P173]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/group.2184");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, 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 := 48 )
gap> P174 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/words.group.2184"]);
gap> Append(GROUPS,[P174]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/group.2185");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, 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 := 48 )
gap> P175 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/words.group.2185"]);
gap> Append(GROUPS,[P175]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/group.2186");
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, -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 := 48 )
gap> P176 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/words.group.2186"]);
gap> Append(GROUPS,[P176]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/group.2187");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P177 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/words.group.2187"]);
gap> Append(GROUPS,[P177]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/group.2188");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -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 := 48 )
gap> P178 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/words.group.2188"]);
gap> Append(GROUPS,[P178]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/group.2189");
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, -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 := 48 )
gap> P179 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/words.group.2189"]);
gap> Append(GROUPS,[P179]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/group.2190");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 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, 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 := 48 )
gap> P180 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/words.group.2190"]);
gap> Append(GROUPS,[P180]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/group.2191");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 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, 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 := 48 )
gap> P181 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/words.group.2191"]);
gap> Append(GROUPS,[P181]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/group.2192");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, -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 := 48 )
gap> P182 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/words.group.2192"]);
gap> Append(GROUPS,[P182]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/group.2193");
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 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, -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 := 48 )
gap> P183 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/words.group.2193"]);
gap> Append(GROUPS,[P183]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/group.2194");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, -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 := 48 )
gap> P184 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/words.group.2194"]);
gap> Append(GROUPS,[P184]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/group.2195");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, -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 := 48 )
gap> P185 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/words.group.2195"]);
gap> Append(GROUPS,[P185]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/group.2196");
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 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 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 := 48 )
gap> P186 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/words.group.2196"]);
gap> Append(GROUPS,[P186]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/group.2197");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 := 48 )
gap> P187 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/words.group.2197"]);
gap> Append(GROUPS,[P187]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/group.2198");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 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 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P188 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/words.group.2198"]);
gap> Append(GROUPS,[P188]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/group.2199");
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 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 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 := 48 )
gap> P189 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/words.group.2199"]);
gap> Append(GROUPS,[P189]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/group.2200");
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 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 := 48 )
gap> P190 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/words.group.2200"]);
gap> Append(GROUPS,[P190]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/group.2201");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 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 := 48 )
gap> P191 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/words.group.2201"]);
gap> Append(GROUPS,[P191]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/group.2202");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 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 := 48 )
gap> P192 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/words.group.2202"]);
gap> Append(GROUPS,[P192]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/group.2203");
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 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 := 48 )
gap> P193 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/words.group.2203"]);
gap> Append(GROUPS,[P193]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/group.2204");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, 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 := 48 )
gap> P194 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/words.group.2204"]);
gap> Append(GROUPS,[P194]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/group.2205");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P195 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/words.group.2205"]);
gap> Append(GROUPS,[P195]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/group.2206");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 := 48 )
gap> P196 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/words.group.2206"]);
gap> Append(GROUPS,[P196]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/group.2207");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, 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 := 48 )
gap> P197 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/words.group.2207"]);
gap> Append(GROUPS,[P197]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/group.2208");
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 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
,
[ [ -1, 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 := 48 )
gap> P198 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/words.group.2208"]);
gap> Append(GROUPS,[P198]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/group.2209");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 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 := 48 )
gap> P199 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/words.group.2209"]);
gap> Append(GROUPS,[P199]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/group.2210");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 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 := 48 )
gap> P200 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/words.group.2210"]);
gap> Append(GROUPS,[P200]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/group.2211");
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 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
,
[ [ -1, 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 := 48 )
gap> P201 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(12)^1(36)^1/words.group.2211"]);
gap> Append(GROUPS,[P201]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(24)^1(72)^1/group.2212");
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, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 48 )
gap> P202 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(24)^1(72)^1/words.group.2212"]);
gap> Append(GROUPS,[P202]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(24)^1(72)^1/group.2213");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -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 := 48 )
gap> P203 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(24)^1(72)^1/words.group.2213"]);
gap> Append(GROUPS,[P203]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(24)^1(72)^1/group.2214");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 48 )
gap> P204 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(24)^1(72)^1/words.group.2214"]);
gap> Append(GROUPS,[P204]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(24)^1(72)^1/group.2215");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 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 := 48 )
gap> P205 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(24)^1(72)^1/words.group.2215"]);
gap> Append(GROUPS,[P205]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(24)^1(72)^1/group.2216");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -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 := 48 )
gap> P206 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(24)^1(72)^1/words.group.2216"]);
gap> Append(GROUPS,[P206]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(24)^1(72)^1/group.2217");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ 1, -1, 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 := 48 )
gap> P207 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(24)^1(72)^1/words.group.2217"]);
gap> Append(GROUPS,[P207]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(24)^1(72)^1/group.2218");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -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 := 48 )
gap> P208 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(24)^1(72)^1/words.group.2218"]);
gap> Append(GROUPS,[P208]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(24)^1(72)^1/group.2219");
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, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P209 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(24)^1(72)^1/words.group.2219"]);
gap> Append(GROUPS,[P209]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(24)^1(72)^1/group.2220");
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, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 48 )
gap> P210 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(24)^1(72)^1/words.group.2220"]);
gap> Append(GROUPS,[P210]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(24)^1(72)^1/group.2221");
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 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 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 := 48 )
gap> P211 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(24)^1(72)^1/words.group.2221"]);
gap> Append(GROUPS,[P211]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(24)^1(72)^1/group.2222");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, -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 := 48 )
gap> P212 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(24)^1(72)^1/words.group.2222"]);
gap> Append(GROUPS,[P212]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(24)^1(72)^1/group.2223");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, -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 := 48 )
gap> P213 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(24)^1(72)^1/words.group.2223"]);
gap> Append(GROUPS,[P213]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(24)^1(72)^1/group.2224");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 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 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 48 )
gap> P214 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(24)^1(72)^1/words.group.2224"]);
gap> Append(GROUPS,[P214]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(24)^1(72)^1/group.2225");
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 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
,
[ [ -1, 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 := 48 )
gap> P215 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(24)^1(72)^1/words.group.2225"]);
gap> Append(GROUPS,[P215]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(24)^1(72)^1/group.2226");
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 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
,
[ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 48 )
gap> P216 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(24)^1(72)^1/words.group.2226"]);
gap> Append(GROUPS,[P216]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(24)^1(72)^1/group.2227");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 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 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P217 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(24)^1(72)^1/words.group.2227"]);
gap> Append(GROUPS,[P217]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^3(6)^1(24)^1(72)^1/group.2228");
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 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
,
[ [ -1, 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 := 48 )
gap> P218 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^3(6)^1(24)^1(72)^1/words.group.2228"]);
gap> Append(GROUPS,[P218]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(12)^2/group.2229");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 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 := 48 )
gap> P219 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(12)^2/words.group.2229"]);
gap> Append(GROUPS,[P219]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(12)^2/group.2230");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 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 := 48 )
gap> P220 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(12)^2/words.group.2230"]);
gap> Append(GROUPS,[P220]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(12)^2/group.2231");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 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 := 48 )
gap> P221 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(12)^2/words.group.2231"]);
gap> Append(GROUPS,[P221]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(12)^2/group.2232");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 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 := 48 )
gap> P222 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(12)^2/words.group.2232"]);
gap> Append(GROUPS,[P222]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(12)^2/group.2233");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ -1, 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 := 48 )
gap> P223 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(12)^2/words.group.2233"]);
gap> Append(GROUPS,[P223]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(12)^2/group.2234");
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 ], [ 1, -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, 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 := 48 )
gap> P224 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(12)^2/words.group.2234"]);
gap> Append(GROUPS,[P224]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(12)^2/group.2235");
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 ], [ 1, -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, 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 := 48 )
gap> P225 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(12)^2/words.group.2235"]);
gap> Append(GROUPS,[P225]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(12)^2/group.2236");
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 ], [ 1, -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, 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 := 48 )
gap> P226 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(12)^2/words.group.2236"]);
gap> Append(GROUPS,[P226]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(12)^2/group.2237");
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 ], [ 1, -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, 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 := 48 )
gap> P227 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(12)^2/words.group.2237"]);
gap> Append(GROUPS,[P227]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(12)^2/group.2238");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ 1, -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 := 48 )
gap> P228 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(12)^2/words.group.2238"]);
gap> Append(GROUPS,[P228]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(12)^2/group.2239");
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 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
,
[ [ -1, 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 := 48 )
gap> P229 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(12)^2/words.group.2239"]);
gap> Append(GROUPS,[P229]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(12)^2/group.2240");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 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 := 48 )
gap> P230 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(12)^2/words.group.2240"]);
gap> Append(GROUPS,[P230]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(12)^2/group.2241");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ 1, -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 := 48 )
gap> P231 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(12)^2/words.group.2241"]);
gap> Append(GROUPS,[P231]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(12)^2/group.2242");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ -1, 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 := 48 )
gap> P232 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(12)^2/words.group.2242"]);
gap> Append(GROUPS,[P232]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(12)^2/group.2243");
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 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P233 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(12)^2/words.group.2243"]);
gap> Append(GROUPS,[P233]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(12)^2/group.2244");
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 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, -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 := 48 )
gap> P234 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(12)^2/words.group.2244"]);
gap> Append(GROUPS,[P234]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(12)^2/group.2245");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
,
[ [ 1, -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 := 48 )
gap> P235 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(12)^2/words.group.2245"]);
gap> Append(GROUPS,[P235]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(12)^2/group.2246");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
,
[ [ 1, -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 := 48 )
gap> P236 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(12)^2/words.group.2246"]);
gap> Append(GROUPS,[P236]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(12)^2/group.2247");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -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 := 48 )
gap> P237 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(12)^2/words.group.2247"]);
gap> Append(GROUPS,[P237]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(12)^2/group.2248");
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, 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 := 48 )
gap> P238 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(12)^2/words.group.2248"]);
gap> Append(GROUPS,[P238]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(12)^2/group.2249");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, 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 := 48 )
gap> P239 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(12)^2/words.group.2249"]);
gap> Append(GROUPS,[P239]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(12)^2/group.2250");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, 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 := 48 )
gap> P240 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(12)^2/words.group.2250"]);
gap> Append(GROUPS,[P240]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(12)^2/group.2251");
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, -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 := 48 )
gap> P241 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(12)^2/words.group.2251"]);
gap> Append(GROUPS,[P241]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(12)^2/group.2252");
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, -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 := 48 )
gap> P242 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(12)^2/words.group.2252"]);
gap> Append(GROUPS,[P242]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(12)^2/group.2253");
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, -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 := 48 )
gap> P243 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(12)^2/words.group.2253"]);
gap> Append(GROUPS,[P243]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(12)^2/group.2254");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 48 )
gap> P244 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(12)^2/words.group.2254"]);
gap> Append(GROUPS,[P244]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(12)^2/group.2255");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, 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 := 48 )
gap> P245 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(12)^2/words.group.2255"]);
gap> Append(GROUPS,[P245]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(12)^2/group.2256");
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 ], [ 1, -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, 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 := 48 )
gap> P246 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(12)^2/words.group.2256"]);
gap> Append(GROUPS,[P246]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(12)^2/group.2257");
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 ], [ 1, -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, 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 := 48 )
gap> P247 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(12)^2/words.group.2257"]);
gap> Append(GROUPS,[P247]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(12)^2/group.2258");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -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, 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 := 48 )
gap> P248 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(12)^2/words.group.2258"]);
gap> Append(GROUPS,[P248]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(12)^2/group.2259");
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 ], [ 1, -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, 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 := 48 )
gap> P249 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(12)^2/words.group.2259"]);
gap> Append(GROUPS,[P249]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(12)^2/group.2260");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, 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 := 48 )
gap> P250 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(12)^2/words.group.2260"]);
gap> Append(GROUPS,[P250]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(12)^2/group.2261");
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, -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 := 48 )
gap> P251 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(12)^2/words.group.2261"]);
gap> Append(GROUPS,[P251]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(24)^2/group.2262");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -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 := 48 )
gap> P252 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(24)^2/words.group.2262"]);
gap> Append(GROUPS,[P252]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(24)^2/group.2263");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ 1, -1, 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 := 48 )
gap> P253 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(24)^2/words.group.2263"]);
gap> Append(GROUPS,[P253]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(24)^2/group.2264");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -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 := 48 )
gap> P254 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(24)^2/words.group.2264"]);
gap> Append(GROUPS,[P254]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(24)^2/group.2265");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -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 := 48 )
gap> P255 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(24)^2/words.group.2265"]);
gap> Append(GROUPS,[P255]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(24)^2/group.2266");
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 ]
],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P256 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(24)^2/words.group.2266"]);
gap> Append(GROUPS,[P256]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(24)^2/group.2267");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -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 := 48 )
gap> P257 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(24)^2/words.group.2267"]);
gap> Append(GROUPS,[P257]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(24)^2/group.2268");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -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 := 48 )
gap> P258 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(24)^2/words.group.2268"]);
gap> Append(GROUPS,[P258]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(24)^2/group.2269");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -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 := 48 )
gap> P259 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(24)^2/words.group.2269"]);
gap> Append(GROUPS,[P259]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(24)^2/group.2270");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 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 := 48 )
gap> P260 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(24)^2/words.group.2270"]);
gap> Append(GROUPS,[P260]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(24)^2/group.2271");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, 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 := 48 )
gap> P261 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(24)^2/words.group.2271"]);
gap> Append(GROUPS,[P261]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(24)^2/group.2272");
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, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P262 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(24)^2/words.group.2272"]);
gap> Append(GROUPS,[P262]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(24)^2/group.2273");
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 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P263 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(24)^2/words.group.2273"]);
gap> Append(GROUPS,[P263]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(24)^2/group.2274");
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, 1, 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 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 48 )
gap> P264 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(24)^2/words.group.2274"]);
gap> Append(GROUPS,[P264]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(24)^2/group.2275");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -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 := 48 )
gap> P265 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(24)^2/words.group.2275"]);
gap> Append(GROUPS,[P265]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(24)^2/group.2276");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -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 := 48 )
gap> P266 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(24)^2/words.group.2276"]);
gap> Append(GROUPS,[P266]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(24)^2/group.2277");
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 ]
],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 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 := 48 )
gap> P267 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(24)^2/words.group.2277"]);
gap> Append(GROUPS,[P267]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(24)^2/group.2278");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -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 := 48 )
gap> P268 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(24)^2/words.group.2278"]);
gap> Append(GROUPS,[P268]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(24)^2/group.2279");
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 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 48 )
gap> P269 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(24)^2/words.group.2279"]);
gap> Append(GROUPS,[P269]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(24)^2/group.2280");
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 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P270 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(24)^2/words.group.2280"]);
gap> Append(GROUPS,[P270]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(24)^2/group.2281");
rec(
generators := [ [ [ -1, 1, 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, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P271 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(24)^2/words.group.2281"]);
gap> Append(GROUPS,[P271]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(24)^2/group.2282");
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 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P272 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(24)^2/words.group.2282"]);
gap> Append(GROUPS,[P272]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(24)^2/group.2283");
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 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 48 )
gap> P273 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(24)^2/words.group.2283"]);
gap> Append(GROUPS,[P273]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(24)^2/group.2284");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 := 48 )
gap> P274 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(24)^2/words.group.2284"]);
gap> Append(GROUPS,[P274]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(24)^2/group.2285");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 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, -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 := 48 )
gap> P275 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(24)^2/words.group.2285"]);
gap> Append(GROUPS,[P275]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(24)^2/group.2286");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 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 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P276 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(24)^2/words.group.2286"]);
gap> Append(GROUPS,[P276]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(24)^2/group.2287");
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 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P277 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(24)^2/words.group.2287"]);
gap> Append(GROUPS,[P277]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(24)^2/group.2288");
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 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
,
[ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 48 )
gap> P278 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(24)^2/words.group.2288"]);
gap> Append(GROUPS,[P278]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(24)^2/group.2289");
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 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
,
[ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P279 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(24)^2/words.group.2289"]);
gap> Append(GROUPS,[P279]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(24)^2/group.2290");
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 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
,
[ [ -1, 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 := 48 )
gap> P280 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(24)^2/words.group.2290"]);
gap> Append(GROUPS,[P280]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(24)^2/group.2291");
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, -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 := 48 )
gap> P281 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(24)^2/words.group.2291"]);
gap> Append(GROUPS,[P281]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(24)^2/group.2292");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
,
[ [ 1, -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 := 48 )
gap> P282 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(24)^2/words.group.2292"]);
gap> Append(GROUPS,[P282]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(24)^2/group.2293");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 1, -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, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 48 )
gap> P283 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(24)^2/words.group.2293"]);
gap> Append(GROUPS,[P283]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(24)^2/group.2294");
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 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P284 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(24)^2/words.group.2294"]);
gap> Append(GROUPS,[P284]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(24)^2/group.2295");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 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 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 48 )
gap> P285 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(24)^2/words.group.2295"]);
gap> Append(GROUPS,[P285]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(24)^2/group.2296");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 := 48 )
gap> P286 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(24)^2/words.group.2296"]);
gap> Append(GROUPS,[P286]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(24)^2/group.2297");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, -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 := 48 )
gap> P287 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(24)^2/words.group.2297"]);
gap> Append(GROUPS,[P287]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(4)^1(12)^2(36)^1/group.2298");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -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 := 48 )
gap> P288 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(4)^1(12)^2(36)^1/words.group.2298"]);
gap> Append(GROUPS,[P288]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(4)^2(12)^2/group.2299");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -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 := 48 )
gap> P289 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(4)^2(12)^2/words.group.2299"]);
gap> Append(GROUPS,[P289]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(4)^2(12)^2/group.2300");
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, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 48 )
gap> P290 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(4)^2(12)^2/words.group.2300"]);
gap> Append(GROUPS,[P290]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(4)^2(12)^2/group.2301");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -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 := 48 )
gap> P291 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(4)^2(12)^2/words.group.2301"]);
gap> Append(GROUPS,[P291]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(4)^2(12)^2/group.2302");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -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 := 48 )
gap> P292 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(4)^2(12)^2/words.group.2302"]);
gap> Append(GROUPS,[P292]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(4)^2(12)^2/group.2303");
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 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P293 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(4)^2(12)^2/words.group.2303"]);
gap> Append(GROUPS,[P293]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(6)^2(36)^2/group.2304");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 := 48 )
gap> P294 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(6)^2(36)^2/words.group.2304"]);
gap> Append(GROUPS,[P294]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^2(2)^2(4)^1(12)^1/group.2305");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 96 )
gap> P295 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^2(2)^2(4)^1(12)^1/words.group.2305"]);
gap> Append(GROUPS,[P295]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^2(2)^3(6)^1(12)^2/group.2306");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
, [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -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 := 96 )
gap> P296 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^2(2)^3(6)^1(12)^2/words.group.2306"]);
gap> Append(GROUPS,[P296]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^2(2)^4(4)^1(12)^1/group.2307");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 96 )
gap> P297 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^2(2)^4(4)^1(12)^1/words.group.2307"]);
gap> Append(GROUPS,[P297]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^2(2)^4(4)^1(12)^1/group.2308");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 96 )
gap> P298 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^2(2)^4(4)^1(12)^1/words.group.2308"]);
gap> Append(GROUPS,[P298]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^2(2)^4(4)^1(12)^1/group.2309");
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, 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, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 96 )
gap> P299 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^2(2)^4(4)^1(12)^1/words.group.2309"]);
gap> Append(GROUPS,[P299]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^2(2)^4(4)^1(12)^1/group.2310");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -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 := 96 )
gap> P300 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^2(2)^4(4)^1(12)^1/words.group.2310"]);
gap> Append(GROUPS,[P300]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^2(2)^4(4)^1(12)^1/group.2311");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
, [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -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 := 96 )
gap> P301 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^2(2)^4(4)^1(12)^1/words.group.2311"]);
gap> Append(GROUPS,[P301]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^2(2)^4(4)^1(12)^1/group.2312");
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, 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, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 96 )
gap> P302 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^2(2)^4(4)^1(12)^1/words.group.2312"]);
gap> Append(GROUPS,[P302]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^2(2)^4(4)^1(12)^1/group.2313");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -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 := 96 )
gap> P303 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^2(2)^4(4)^1(12)^1/words.group.2313"]);
gap> Append(GROUPS,[P303]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^2(2)^4(4)^1(12)^1/group.2314");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -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 := 96 )
gap> P304 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^2(2)^4(4)^1(12)^1/words.group.2314"]);
gap> Append(GROUPS,[P304]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^2(2)^4(4)^1(12)^1/group.2315");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -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 := 96 )
gap> P305 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^2(2)^4(4)^1(12)^1/words.group.2315"]);
gap> Append(GROUPS,[P305]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^2(2)^4(4)^1(12)^1/group.2316");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -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 := 96 )
gap> P306 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^2(2)^4(4)^1(12)^1/words.group.2316"]);
gap> Append(GROUPS,[P306]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^2(2)^4(4)^1(12)^1/group.2317");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -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 := 96 )
gap> P307 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^2(2)^4(4)^1(12)^1/words.group.2317"]);
gap> Append(GROUPS,[P307]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^2(2)^4(8)^1(24)^1/group.2318");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -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 := 96 )
gap> P308 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^2(2)^4(8)^1(24)^1/words.group.2318"]);
gap> Append(GROUPS,[P308]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^2(2)^4(8)^1(24)^1/group.2319");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 96 )
gap> P309 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^2(2)^4(8)^1(24)^1/words.group.2319"]);
gap> Append(GROUPS,[P309]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^1(6)^1(12)^1(36)^1/group.2320");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 := 96 )
gap> P310 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^1(6)^1(12)^1(36)^1/words.group.2320"]);
gap> Append(GROUPS,[P310]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^2(12)^2/group.2321");
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 ], [ 1, -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, -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 := 96 )
gap> P311 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^2(12)^2/words.group.2321"]);
gap> Append(GROUPS,[P311]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^2(12)^2/group.2322");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 := 96 )
gap> P312 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^2(12)^2/words.group.2322"]);
gap> Append(GROUPS,[P312]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^2(12)^2/group.2323");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 := 96 )
gap> P313 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^2(12)^2/words.group.2323"]);
gap> Append(GROUPS,[P313]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^2(12)^2/group.2324");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 96 )
gap> P314 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^2(12)^2/words.group.2324"]);
gap> Append(GROUPS,[P314]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^2(12)^2/group.2325");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, 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 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 96 )
gap> P315 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^2(12)^2/words.group.2325"]);
gap> Append(GROUPS,[P315]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^2(12)^2/group.2326");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, -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 := 96 )
gap> P316 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^2(12)^2/words.group.2326"]);
gap> Append(GROUPS,[P316]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^2(12)^2/group.2327");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, -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 := 96 )
gap> P317 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^2(12)^2/words.group.2327"]);
gap> Append(GROUPS,[P317]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^2(12)^2/group.2328");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 96 )
gap> P318 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^2(12)^2/words.group.2328"]);
gap> Append(GROUPS,[P318]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^2(12)^2/group.2329");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 96 )
gap> P319 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^2(12)^2/words.group.2329"]);
gap> Append(GROUPS,[P319]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^2(12)^2/group.2330");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 96 )
gap> P320 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^2(12)^2/words.group.2330"]);
gap> Append(GROUPS,[P320]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^2(12)^2/group.2331");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 := 96 )
gap> P321 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^2(12)^2/words.group.2331"]);
gap> Append(GROUPS,[P321]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^2(12)^2/group.2332");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 96 )
gap> P322 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^2(12)^2/words.group.2332"]);
gap> Append(GROUPS,[P322]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^2(6)^2(36)^2/group.2333");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
, [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 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 := 96 )
gap> P323 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^2(6)^2(36)^2/words.group.2333"]);
gap> Append(GROUPS,[P323]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^3(6)^1(12)^1(36)^1/group.2334");
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 ], [ 1, -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, 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 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 96 )
gap> P324 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^3(6)^1(12)^1(36)^1/words.group.2334"]);
gap> Append(GROUPS,[P324]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^3(6)^1(12)^1(36)^1/group.2335");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, -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 := 96 )
gap> P325 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^3(6)^1(12)^1(36)^1/words.group.2335"]);
gap> Append(GROUPS,[P325]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^3(6)^1(12)^1(36)^1/group.2336");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, -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 := 96 )
gap> P326 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^3(6)^1(12)^1(36)^1/words.group.2336"]);
gap> Append(GROUPS,[P326]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^3(6)^1(12)^1(36)^1/group.2337");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 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 := 96 )
gap> P327 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^3(6)^1(12)^1(36)^1/words.group.2337"]);
gap> Append(GROUPS,[P327]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^3(6)^1(12)^1(36)^1/group.2338");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ -1, 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 := 96 )
gap> P328 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^3(6)^1(12)^1(36)^1/words.group.2338"]);
gap> Append(GROUPS,[P328]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^3(6)^1(12)^1(36)^1/group.2339");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 := 96 )
gap> P329 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^3(6)^1(12)^1(36)^1/words.group.2339"]);
gap> Append(GROUPS,[P329]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^3(6)^1(12)^1(36)^1/group.2340");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 := 96 )
gap> P330 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^3(6)^1(12)^1(36)^1/words.group.2340"]);
gap> Append(GROUPS,[P330]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^3(6)^1(12)^1(36)^1/group.2341");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 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 := 96 )
gap> P331 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^3(6)^1(12)^1(36)^1/words.group.2341"]);
gap> Append(GROUPS,[P331]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^3(6)^1(12)^1(36)^1/group.2342");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 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 := 96 )
gap> P332 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^3(6)^1(12)^1(36)^1/words.group.2342"]);
gap> Append(GROUPS,[P332]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^3(6)^1(12)^1(36)^1/group.2343");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 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 := 96 )
gap> P333 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^3(6)^1(12)^1(36)^1/words.group.2343"]);
gap> Append(GROUPS,[P333]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^3(6)^1(12)^1(36)^1/group.2344");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 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 := 96 )
gap> P334 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^3(6)^1(12)^1(36)^1/words.group.2344"]);
gap> Append(GROUPS,[P334]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^3(6)^1(12)^1(36)^1/group.2345");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0,
1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
, [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 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 := 96 )
gap> P335 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^3(6)^1(12)^1(36)^1/words.group.2345"]);
gap> Append(GROUPS,[P335]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^3(6)^1(12)^1(36)^1/group.2346");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 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, 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 := 96 )
gap> P336 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^3(6)^1(12)^1(36)^1/words.group.2346"]);
gap> Append(GROUPS,[P336]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^3(6)^1(12)^1(36)^1/group.2347");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 := 96 )
gap> P337 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^3(6)^1(12)^1(36)^1/words.group.2347"]);
gap> Append(GROUPS,[P337]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^3(6)^1(12)^1(36)^1/group.2348");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 := 96 )
gap> P338 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^3(6)^1(12)^1(36)^1/words.group.2348"]);
gap> Append(GROUPS,[P338]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^3(6)^1(12)^1(36)^1/group.2349");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 := 96 )
gap> P339 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^3(6)^1(12)^1(36)^1/words.group.2349"]);
gap> Append(GROUPS,[P339]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^3(6)^1(24)^1(72)^1/group.2350");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -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 := 96 )
gap> P340 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^3(6)^1(24)^1(72)^1/words.group.2350"]);
gap> Append(GROUPS,[P340]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^3(6)^1(24)^1(72)^1/group.2351");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 := 96 )
gap> P341 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^3(6)^1(24)^1(72)^1/words.group.2351"]);
gap> Append(GROUPS,[P341]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2352");
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 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 1, -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, 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 := 96 )
gap> P342 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2352"]);
gap> Append(GROUPS,[P342]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2353");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
, [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 := 96 )
gap> P343 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2353"]);
gap> Append(GROUPS,[P343]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2354");
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 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, -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 := 96 )
gap> P344 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2354"]);
gap> Append(GROUPS,[P344]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2355");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -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 := 96 )
gap> P345 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2355"]);
gap> Append(GROUPS,[P345]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2356");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 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 := 96 )
gap> P346 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2356"]);
gap> Append(GROUPS,[P346]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2357");
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 ], [ 1, -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, -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 := 96 )
gap> P347 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2357"]);
gap> Append(GROUPS,[P347]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2358");
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 ], [ 1, -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, 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 := 96 )
gap> P348 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2358"]);
gap> Append(GROUPS,[P348]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2359");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 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 := 96 )
gap> P349 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2359"]);
gap> Append(GROUPS,[P349]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2360");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 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 := 96 )
gap> P350 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2360"]);
gap> Append(GROUPS,[P350]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2361");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 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 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 96 )
gap> P351 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2361"]);
gap> Append(GROUPS,[P351]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2362");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0,
1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 := 96 )
gap> P352 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2362"]);
gap> Append(GROUPS,[P352]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2363");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 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 := 96 )
gap> P353 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2363"]);
gap> Append(GROUPS,[P353]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2364");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0,
1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 := 96 )
gap> P354 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2364"]);
gap> Append(GROUPS,[P354]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2365");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 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 := 96 )
gap> P355 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2365"]);
gap> Append(GROUPS,[P355]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2366");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 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 := 96 )
gap> P356 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2366"]);
gap> Append(GROUPS,[P356]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2367");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
, [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 := 96 )
gap> P357 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2367"]);
gap> Append(GROUPS,[P357]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2368");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, 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 := 96 )
gap> P358 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2368"]);
gap> Append(GROUPS,[P358]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2369");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 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 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 96 )
gap> P359 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2369"]);
gap> Append(GROUPS,[P359]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2370");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 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, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 96 )
gap> P360 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2370"]);
gap> Append(GROUPS,[P360]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2371");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
, [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 := 96 )
gap> P361 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2371"]);
gap> Append(GROUPS,[P361]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2372");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 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 := 96 )
gap> P362 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2372"]);
gap> Append(GROUPS,[P362]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2373");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 := 96 )
gap> P363 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2373"]);
gap> Append(GROUPS,[P363]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2374");
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 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 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 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 96 )
gap> P364 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2374"]);
gap> Append(GROUPS,[P364]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2375");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ -1, 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 := 96 )
gap> P365 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2375"]);
gap> Append(GROUPS,[P365]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2376");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 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 := 96 )
gap> P366 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2376"]);
gap> Append(GROUPS,[P366]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2377");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ -1, 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 := 96 )
gap> P367 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2377"]);
gap> Append(GROUPS,[P367]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2378");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, 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 := 96 )
gap> P368 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2378"]);
gap> Append(GROUPS,[P368]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2379");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 := 96 )
gap> P369 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2379"]);
gap> Append(GROUPS,[P369]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2380");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
, [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 := 96 )
gap> P370 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2380"]);
gap> Append(GROUPS,[P370]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2381");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 := 96 )
gap> P371 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2381"]);
gap> Append(GROUPS,[P371]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2382");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 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 := 96 )
gap> P372 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2382"]);
gap> Append(GROUPS,[P372]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2383");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 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 := 96 )
gap> P373 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2383"]);
gap> Append(GROUPS,[P373]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2384");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, 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 := 96 )
gap> P374 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2384"]);
gap> Append(GROUPS,[P374]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2385");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 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 := 96 )
gap> P375 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2385"]);
gap> Append(GROUPS,[P375]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2386");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 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 := 96 )
gap> P376 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2386"]);
gap> Append(GROUPS,[P376]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2387");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
, [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 := 96 )
gap> P377 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2387"]);
gap> Append(GROUPS,[P377]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2388");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 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, 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 := 96 )
gap> P378 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2388"]);
gap> Append(GROUPS,[P378]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2389");
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 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 96 )
gap> P379 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2389"]);
gap> Append(GROUPS,[P379]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2390");
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 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 96 )
gap> P380 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2390"]);
gap> Append(GROUPS,[P380]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2391");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, 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 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 96 )
gap> P381 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2391"]);
gap> Append(GROUPS,[P381]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2392");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 1, -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, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 96 )
gap> P382 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2392"]);
gap> Append(GROUPS,[P382]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2393");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 1, -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, 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 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 96 )
gap> P383 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2393"]);
gap> Append(GROUPS,[P383]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2394");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 := 96 )
gap> P384 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2394"]);
gap> Append(GROUPS,[P384]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2395");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 := 96 )
gap> P385 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2395"]);
gap> Append(GROUPS,[P385]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2396");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
, [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 := 96 )
gap> P386 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2396"]);
gap> Append(GROUPS,[P386]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2397");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 := 96 )
gap> P387 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2397"]);
gap> Append(GROUPS,[P387]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2398");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 := 96 )
gap> P388 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2398"]);
gap> Append(GROUPS,[P388]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2399");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
, [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 := 96 )
gap> P389 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2399"]);
gap> Append(GROUPS,[P389]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2400");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, -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 := 96 )
gap> P390 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2400"]);
gap> Append(GROUPS,[P390]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2401");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 := 96 )
gap> P391 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2401"]);
gap> Append(GROUPS,[P391]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2402");
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 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
, [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, -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 := 96 )
gap> P392 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2402"]);
gap> Append(GROUPS,[P392]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2403");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, -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 := 96 )
gap> P393 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2403"]);
gap> Append(GROUPS,[P393]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2404");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, -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 := 96 )
gap> P394 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2404"]);
gap> Append(GROUPS,[P394]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2405");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 := 96 )
gap> P395 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2405"]);
gap> Append(GROUPS,[P395]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2406");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0,
1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 := 96 )
gap> P396 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2406"]);
gap> Append(GROUPS,[P396]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2407");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0,
1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 := 96 )
gap> P397 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2407"]);
gap> Append(GROUPS,[P397]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2408");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
, [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 := 96 )
gap> P398 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2408"]);
gap> Append(GROUPS,[P398]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2409");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 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, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 96 )
gap> P399 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2409"]);
gap> Append(GROUPS,[P399]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2410");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, -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 := 96 )
gap> P400 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2410"]);
gap> Append(GROUPS,[P400]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2411");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 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 := 96 )
gap> P401 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2411"]);
gap> Append(GROUPS,[P401]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2412");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 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, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 96 )
gap> P402 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2412"]);
gap> Append(GROUPS,[P402]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2413");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 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, 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 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 96 )
gap> P403 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2413"]);
gap> Append(GROUPS,[P403]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2414");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 := 96 )
gap> P404 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2414"]);
gap> Append(GROUPS,[P404]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2415");
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 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 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, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 96 )
gap> P405 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2415"]);
gap> Append(GROUPS,[P405]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2416");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, -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 := 96 )
gap> P406 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2416"]);
gap> Append(GROUPS,[P406]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2417");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, 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 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 96 )
gap> P407 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2417"]);
gap> Append(GROUPS,[P407]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2418");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 := 96 )
gap> P408 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2418"]);
gap> Append(GROUPS,[P408]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2419");
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 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 96 )
gap> P409 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2419"]);
gap> Append(GROUPS,[P409]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2420");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 96 )
gap> P410 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2420"]);
gap> Append(GROUPS,[P410]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(24)^2/group.2421");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -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 := 96 )
gap> P411 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(24)^2/words.group.2421"]);
gap> Append(GROUPS,[P411]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(24)^2/group.2422");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -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 := 96 )
gap> P412 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(24)^2/words.group.2422"]);
gap> Append(GROUPS,[P412]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(24)^2/group.2423");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -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 := 96 )
gap> P413 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(24)^2/words.group.2423"]);
gap> Append(GROUPS,[P413]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(24)^2/group.2424");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -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 := 96 )
gap> P414 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(24)^2/words.group.2424"]);
gap> Append(GROUPS,[P414]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(24)^2/group.2425");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
, [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -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 := 96 )
gap> P415 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(24)^2/words.group.2425"]);
gap> Append(GROUPS,[P415]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(24)^2/group.2426");
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 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 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 := 96 )
gap> P416 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(24)^2/words.group.2426"]);
gap> Append(GROUPS,[P416]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(24)^2/group.2427");
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, 1, 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, -1, 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 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 96 )
gap> P417 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(24)^2/words.group.2427"]);
gap> Append(GROUPS,[P417]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(24)^2/group.2428");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -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 := 96 )
gap> P418 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(24)^2/words.group.2428"]);
gap> Append(GROUPS,[P418]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(24)^2/group.2429");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 96 )
gap> P419 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(24)^2/words.group.2429"]);
gap> Append(GROUPS,[P419]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(24)^2/group.2430");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 96 )
gap> P420 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(24)^2/words.group.2430"]);
gap> Append(GROUPS,[P420]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(24)^2/group.2431");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -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 := 96 )
gap> P421 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(24)^2/words.group.2431"]);
gap> Append(GROUPS,[P421]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(24)^2/group.2432");
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, 1, 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, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, -1, 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 := 96 )
gap> P422 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(24)^2/words.group.2432"]);
gap> Append(GROUPS,[P422]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(24)^2/group.2433");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
, [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 := 96 )
gap> P423 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(24)^2/words.group.2433"]);
gap> Append(GROUPS,[P423]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(24)^2/group.2434");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
, [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 96 )
gap> P424 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(24)^2/words.group.2434"]);
gap> Append(GROUPS,[P424]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(24)^2/group.2435");
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 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 1, -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, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 96 )
gap> P425 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(24)^2/words.group.2435"]);
gap> Append(GROUPS,[P425]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(24)^2/group.2436");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 1, -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, 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 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 96 )
gap> P426 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(24)^2/words.group.2436"]);
gap> Append(GROUPS,[P426]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(24)^2/group.2437");
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 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
, [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, -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 := 96 )
gap> P427 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(24)^2/words.group.2437"]);
gap> Append(GROUPS,[P427]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(24)^2/group.2438");
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 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
, [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 96 )
gap> P428 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(24)^2/words.group.2438"]);
gap> Append(GROUPS,[P428]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(24)^2/group.2439");
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 ], [ 1, -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, 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 := 96 )
gap> P429 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(24)^2/words.group.2439"]);
gap> Append(GROUPS,[P429]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(24)^2/group.2440");
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 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 96 )
gap> P430 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(24)^2/words.group.2440"]);
gap> Append(GROUPS,[P430]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(24)^2/group.2441");
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 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 96 )
gap> P431 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(24)^2/words.group.2441"]);
gap> Append(GROUPS,[P431]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(24)^2/group.2442");
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 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 96 )
gap> P432 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(24)^2/words.group.2442"]);
gap> Append(GROUPS,[P432]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(4)^2(12)^2/group.2443");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -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 := 96 )
gap> P433 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(4)^2(12)^2/words.group.2443"]);
gap> Append(GROUPS,[P433]);
gap> Print(GROUPS,"\n");
[ Group(
[ [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -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 ] ]
]),
Group([ [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 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 ] ] ]),
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 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
]),
Group([ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ]
, [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -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 ] ]
]),
Group([ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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 ]
] ]),
Group([ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 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, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
]),
Group([ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 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, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
]),
Group([ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 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 ] ]
]),
Group([ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 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, 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, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 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, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 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, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
]),
Group([ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
, [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ]),
Group([ [ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ -1, 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, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 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, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 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, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 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, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
]),
Group([ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 1, 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, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
]),
Group([ [ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
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gap> Print(names,"\n");
[ "ordnung.12/(1)^2(4)^1(12)^3/words.min.365",
"ordnung.12/(1)^2(4)^1(12)^3/words.min.366",
"ordnung.12/(1)^4(12)^2(36)^2/words.min.367",
"ordnung.192/(1)^2(2)^4(4)^1(12)^1/words.group.2028",
"ordnung.192/(1)^4(2)^2(12)^2/words.group.2029",
"ordnung.192/(1)^4(2)^3(6)^1(12)^1(36)^1/words.group.2030",
"ordnung.192/(1)^4(2)^4(12)^2/words.group.2031",
"ordnung.192/(1)^4(2)^4(12)^2/words.group.2032",
"ordnung.192/(1)^4(2)^4(12)^2/words.group.2033",
"ordnung.192/(1)^4(2)^4(12)^2/words.group.2034",
"ordnung.192/(1)^4(2)^4(12)^2/words.group.2035",
"ordnung.192/(1)^4(2)^4(12)^2/words.group.2036",
"ordnung.192/(1)^4(2)^4(12)^2/words.group.2037",
"ordnung.192/(1)^4(2)^4(12)^2/words.group.2038",
"ordnung.192/(1)^4(2)^4(12)^2/words.group.2039",
"ordnung.192/(1)^4(2)^4(12)^2/words.group.2040",
"ordnung.192/(1)^4(2)^4(12)^2/words.group.2041",
"ordnung.192/(1)^4(2)^4(12)^2/words.group.2042",
"ordnung.192/(1)^4(2)^4(12)^2/words.group.2043",
"ordnung.192/(1)^4(2)^4(12)^2/words.group.2044",
"ordnung.192/(1)^4(2)^4(12)^2/words.group.2045",
"ordnung.192/(1)^4(2)^4(12)^2/words.group.2046",
"ordnung.192/(1)^4(2)^4(12)^2/words.group.2047",
"ordnung.192/(1)^4(2)^4(12)^2/words.group.2048",
"ordnung.192/(1)^4(2)^4(12)^2/words.group.2049",
"ordnung.192/(1)^4(2)^4(24)^2/words.group.2050",
"ordnung.192/(1)^4(2)^4(24)^2/words.group.2051",
"ordnung.24/(1)^2(2)^1(6)^1(12)^2/words.group.2052",
"ordnung.24/(1)^2(2)^1(6)^1(12)^2/words.group.2053",
"ordnung.24/(1)^2(2)^1(6)^1(12)^2/words.group.2054",
"ordnung.24/(1)^2(2)^1(6)^1(12)^2/words.group.2055",
"ordnung.24/(1)^2(2)^2(4)^1(12)^1/words.group.2056",
"ordnung.24/(1)^2(2)^2(4)^1(12)^1/words.group.2057",
"ordnung.24/(1)^2(2)^2(4)^1(12)^1/words.group.2058",
"ordnung.24/(1)^2(2)^2(4)^1(12)^1/words.group.2059",
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"ordnung.96/(1)^2(2)^4(4)^1(12)^1/words.group.2307",
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"ordnung.96/(1)^2(2)^4(4)^1(12)^1/words.group.2317",
"ordnung.96/(1)^2(2)^4(8)^1(24)^1/words.group.2318",
"ordnung.96/(1)^2(2)^4(8)^1(24)^1/words.group.2319",
"ordnung.96/(1)^4(2)^1(6)^1(12)^1(36)^1/words.group.2320",
"ordnung.96/(1)^4(2)^2(12)^2/words.group.2321",
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"ordnung.96/(1)^4(2)^3(6)^1(12)^1(36)^1/words.group.2346",
"ordnung.96/(1)^4(2)^3(6)^1(12)^1(36)^1/words.group.2347",
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"ordnung.96/(1)^4(2)^3(6)^1(12)^1(36)^1/words.group.2349",
"ordnung.96/(1)^4(2)^3(6)^1(24)^1(72)^1/words.group.2350",
"ordnung.96/(1)^4(2)^3(6)^1(24)^1(72)^1/words.group.2351",
"ordnung.96/(1)^4(2)^4(12)^2/words.group.2352",
"ordnung.96/(1)^4(2)^4(12)^2/words.group.2353",
"ordnung.96/(1)^4(2)^4(12)^2/words.group.2354",
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"ordnung.96/(1)^4(2)^4(12)^2/words.group.2356",
"ordnung.96/(1)^4(2)^4(12)^2/words.group.2357",
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"ordnung.96/(1)^4(2)^4(12)^2/words.group.2370",
"ordnung.96/(1)^4(2)^4(12)^2/words.group.2371",
"ordnung.96/(1)^4(2)^4(12)^2/words.group.2372",
"ordnung.96/(1)^4(2)^4(12)^2/words.group.2373",
"ordnung.96/(1)^4(2)^4(12)^2/words.group.2374",
"ordnung.96/(1)^4(2)^4(12)^2/words.group.2375",
"ordnung.96/(1)^4(2)^4(12)^2/words.group.2376",
"ordnung.96/(1)^4(2)^4(12)^2/words.group.2377",
"ordnung.96/(1)^4(2)^4(12)^2/words.group.2378",
"ordnung.96/(1)^4(2)^4(12)^2/words.group.2379",
"ordnung.96/(1)^4(2)^4(12)^2/words.group.2380",
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"ordnung.96/(1)^4(2)^4(12)^2/words.group.2382",
"ordnung.96/(1)^4(2)^4(12)^2/words.group.2383",
"ordnung.96/(1)^4(2)^4(12)^2/words.group.2384",
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"ordnung.96/(1)^4(2)^4(12)^2/words.group.2395",
"ordnung.96/(1)^4(2)^4(12)^2/words.group.2396",
"ordnung.96/(1)^4(2)^4(12)^2/words.group.2397",
"ordnung.96/(1)^4(2)^4(12)^2/words.group.2398",
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"ordnung.96/(1)^4(2)^4(12)^2/words.group.2410",
"ordnung.96/(1)^4(2)^4(12)^2/words.group.2411",
"ordnung.96/(1)^4(2)^4(12)^2/words.group.2412",
"ordnung.96/(1)^4(2)^4(12)^2/words.group.2413",
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"ordnung.96/(1)^4(2)^4(12)^2/words.group.2416",
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"ordnung.96/(1)^4(2)^4(12)^2/words.group.2420",
"ordnung.96/(1)^4(2)^4(24)^2/words.group.2421",
"ordnung.96/(1)^4(2)^4(24)^2/words.group.2422",
"ordnung.96/(1)^4(2)^4(24)^2/words.group.2423",
"ordnung.96/(1)^4(2)^4(24)^2/words.group.2424",
"ordnung.96/(1)^4(2)^4(24)^2/words.group.2425",
"ordnung.96/(1)^4(2)^4(24)^2/words.group.2426",
"ordnung.96/(1)^4(2)^4(24)^2/words.group.2427",
"ordnung.96/(1)^4(2)^4(24)^2/words.group.2428",
"ordnung.96/(1)^4(2)^4(24)^2/words.group.2429",
"ordnung.96/(1)^4(2)^4(24)^2/words.group.2430",
"ordnung.96/(1)^4(2)^4(24)^2/words.group.2431",
"ordnung.96/(1)^4(2)^4(24)^2/words.group.2432",
"ordnung.96/(1)^4(2)^4(24)^2/words.group.2433",
"ordnung.96/(1)^4(2)^4(24)^2/words.group.2434",
"ordnung.96/(1)^4(2)^4(24)^2/words.group.2435",
"ordnung.96/(1)^4(2)^4(24)^2/words.group.2436",
"ordnung.96/(1)^4(2)^4(24)^2/words.group.2437",
"ordnung.96/(1)^4(2)^4(24)^2/words.group.2438",
"ordnung.96/(1)^4(2)^4(24)^2/words.group.2439",
"ordnung.96/(1)^4(2)^4(24)^2/words.group.2440",
"ordnung.96/(1)^4(2)^4(24)^2/words.group.2441",
"ordnung.96/(1)^4(2)^4(24)^2/words.group.2442",
"ordnung.96/(1)^4(4)^2(12)^2/words.group.2443" ]
gap> Size(GROUPS);
433
gap> Size(names);
433
gap> Read("../../TGROUPS.GAP");
gap> for i in [1..Size(GROUPS)] do
> SubgroupWords(GROUPS[i], names[i]);
> od;
[ x1^6, x1^9 ]
[ x1^8, x1^6 ]
[ x1^6, x1^3 ]
[ x1^8, x1^6 ]
[ x1^2, x1^3*x2*x1 ]
[ x1, x1^2 ]
[ x5^3, x1, x2, x3, x5^2, x3*x5*x3*x5^5 ]
[ x5^3, x1, x2, x2*x4, x5^2, x3*x5*x3*x5^5 ]
[ x5^3, x1, x2, x2*x3*x4, x5^2, x3*x5*x3*x5^5 ]
[ x5^3, x1, x3, x2*x4, x5^2, x3*x5*x3*x5^5 ]
[ x5^3, x1, x4, x3, x5^2, x3*x5*x3*x5^5 ]
[ x5^3, x1, x2*x3, x2*x4, x5^2, x3*x5*x3*x5^5 ]
[ x5^3, x1, x4, x2*x3*x4, x5^2, x3*x5*x3*x5^5 ]
[ x5^3, x2, x3, x2*x4, x5^2, x3*x5*x3*x5^5 ]
[ x5^3, x1*x2*x4, x2, x3, x5^2, x3*x5*x3*x5^5 ]
[ x5^3, x1*x3, x2, x2*x4, x5^2, x3*x5*x3*x5^5 ]
[ x5^3, x1*x2*x4, x2, x2*x3*x4, x5^2, x3*x5*x3*x5^5 ]
[ x5^3, x1*x2, x3, x2*x4, x5^2, x3*x5*x3*x5^5 ]
[ x5^3, x1*x2*x4, x4, x3, x5^2, x3*x5*x3*x5^5 ]
[ x5^3, x1*x3, x2*x3, x2*x4, x5^2, x3*x5*x3*x5^5 ]
[ x5^3, x1*x2*x4, x4, x2*x3*x4, x5^2, x3*x5*x3*x5^5 ]
[ x1, x2, x3, x2*x4, x5^2, x3*x5*x3*x5^5 ]
[ x2*x4*x5^3, x1, x2, x3, x5^2, x3*x5*x3*x5^5 ]
[ x5*x3*x5^2, x1, x2, x2*x4, x5^2, x3*x5*x3*x5^5 ]
[ x2*x4*x5^3, x1, x2, x2*x3*x4, x5^2, x3*x5*x3*x5^5 ]
[ x2*x5^3, x1, x3, x2*x4, x5^2, x3*x5*x3*x5^5 ]
[ x2*x4*x5^3, x1, x4, x3, x5^2, x3*x5*x3*x5^5 ]
[ x5*x3*x5^2, x1, x2*x3, x2*x4, x5^2, x3*x5*x3*x5^5 ]
[ x2*x4*x5^3, x1, x4, x2*x3*x4, x5^2, x3*x5*x3*x5^5 ]
[ x1*x5^3, x2, x3, x2*x4, x5^2, x3*x5*x3*x5^5 ]
[ x2*x4*x5^3, x1*x2*x4, x2, x3, x5^2, x3*x5*x3*x5^5 ]
[ x5*x3*x5^2, x1*x3, x2, x2*x4, x5^2, x3*x5*x3*x5^5 ]
[ x2*x4*x5^3, x1*x2*x4, x2, x2*x3*x4, x5^2, x3*x5*x3*x5^5 ]
[ x2*x5^3, x1*x2, x3, x2*x4, x5^2, x3*x5*x3*x5^5 ]
[ x2*x4*x5^3, x1*x2*x4, x4, x3, x5^2, x3*x5*x3*x5^5 ]
[ x5*x3*x5^2, x1*x3, x2*x3, x2*x4, x5^2, x3*x5*x3*x5^5 ]
[ x2*x4*x5^3, x1*x2*x4, x4, x2*x3*x4, x5^2, x3*x5*x3*x5^5 ]
[ x5^3, x1, x2, x3, x2*x4, x3*x5*x3*x5^5 ]
[ x4*x5, x4, x3, x2*x1*x2*x1*x2, x3^2, x1*x2*x1*x2 ]
[ x4*x5, x4, x3, x1, x3^2, x1*x2*x1*x2 ]
[ x4*x5, x4, x3, x1*x2*x1*x2*x1*x2, x3^2, x1*x2*x1*x2 ]
[ x4*x5, x4, x2*x1*x2*x1*x2, x1, x3^2, x1*x2*x1*x2 ]
[ x4*x5, x4, x1*x3, x2*x1*x2*x1*x2, x3^2, x1*x2*x1*x2 ]
[ x4*x5, x4, x2*x1*x2*x1*x2*x3, x1, x3^2, x1*x2*x1*x2 ]
[ x4*x5, x4, x1*x3, x1*x2*x1*x2*x1*x2, x3^2, x1*x2*x1*x2 ]
[ x4*x5, x3, x2*x1*x2*x1*x2, x1, x3^2, x1*x2*x1*x2 ]
[ x4*x5, x1*x4, x3, x2*x1*x2*x1*x2, x3^2, x1*x2*x1*x2 ]
[ x4*x5, x2*x1*x2*x1*x2*x4, x3, x1, x3^2, x1*x2*x1*x2 ]
[ x4*x5, x1*x4, x3, x1*x2*x1*x2*x1*x2, x3^2, x1*x2*x1*x2 ]
[ x4*x5, x3*x4, x2*x1*x2*x1*x2, x1, x3^2, x1*x2*x1*x2 ]
[ x4*x5, x1*x4, x1*x3, x2*x1*x2*x1*x2, x3^2, x1*x2*x1*x2 ]
[ x4*x5, x2*x1*x2*x1*x2*x4, x2*x1*x2*x1*x2*x3, x1, x3^2, x1*x2*x1*x2 ]
[ x4*x5, x1*x4, x1*x3, x1*x2*x1*x2*x1*x2, x3^2, x1*x2*x1*x2 ]
[ x4, x3, x2*x1*x2*x1*x2, x1, x3^2, x1*x2*x1*x2 ]
[ x1*x4*x5, x4, x3, x2*x1*x2*x1*x2, x3^2, x1*x2*x1*x2 ]
[ x2*x1*x2*x1*x2*x4*x5, x4, x3, x1, x3^2, x1*x2*x1*x2 ]
[ x1*x4*x5, x4, x3, x1*x2*x1*x2*x1*x2, x3^2, x1*x2*x1*x2 ]
[ x3*x4*x5, x4, x2*x1*x2*x1*x2, x1, x3^2, x1*x2*x1*x2 ]
[ x1*x4*x5, x4, x1*x3, x2*x1*x2*x1*x2, x3^2, x1*x2*x1*x2 ]
[ x2*x1*x2*x1*x2*x4*x5, x4, x2*x1*x2*x1*x2*x3, x1, x3^2, x1*x2*x1*x2 ]
[ x1*x4*x5, x4, x1*x3, x1*x2*x1*x2*x1*x2, x3^2, x1*x2*x1*x2 ]
[ x5, x3, x2*x1*x2*x1*x2, x1, x3^2, x1*x2*x1*x2 ]
[ x1*x4*x5, x1*x4, x3, x2*x1*x2*x1*x2, x3^2, x1*x2*x1*x2 ]
[ x2*x1*x2*x1*x2*x4*x5, x2*x1*x2*x1*x2*x4, x3, x1, x3^2, x1*x2*x1*x2 ]
[ x1*x4*x5, x1*x4, x3, x1*x2*x1*x2*x1*x2, x3^2, x1*x2*x1*x2 ]
[ x3*x4*x5, x3*x4, x2*x1*x2*x1*x2, x1, x3^2, x1*x2*x1*x2 ]
[ x1*x4*x5, x1*x4, x1*x3, x2*x1*x2*x1*x2, x3^2, x1*x2*x1*x2 ]
[ x2*x1*x2*x1*x2*x4*x5, x2*x1*x2*x1*x2*x4, x2*x1*x2*x1*x2*x3, x1, x3^2,
x1*x2*x1*x2 ]
[ x1*x4*x5, x1*x4, x1*x3, x1*x2*x1*x2*x1*x2, x3^2, x1*x2*x1*x2 ]
[ x4*x5, x4, x3, x2*x1*x2*x1*x2, x1, x3^2 ]
[ x2*x4^2*x2*x5, x4^3, x1, x1*x2*x4^2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^2*x2*x5, x4^3, x1, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^2*x2*x5, x4^3, x1, x1*x2*x3*x4^2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^2*x2*x5, x4^3, x1*x2*x4^2, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^2*x2*x5, x4^3, x1*x3, x1*x2*x4^2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^2*x2*x5, x4^3, x2*x4^2, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^2*x2*x5, x4^3, x1*x3, x1*x2*x3*x4^2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^2*x2*x5, x1, x1*x2*x4^2, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^2*x2*x5, x4*x3*x4^2, x1, x1*x2*x4^2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^2*x2*x5, x1*x4*x2, x1, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^2*x2*x5, x4*x3*x4^2, x1, x1*x2*x3*x4^2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^2*x2*x5, x1*x4^3, x1*x2*x4^2, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^2*x2*x5, x4*x3*x4^2, x1*x3, x1*x2*x4^2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^2*x2*x5, x1*x4*x2, x2*x4^2, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^2*x2*x5, x4*x3*x4^2, x1*x3, x1*x2*x3*x4^2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4^3, x1, x1*x2*x4^2, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x3*x4^2*x2*x5, x4^3, x1, x1*x2*x4^2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1*x2*x5, x4^3, x1, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x3*x4^2*x2*x5, x4^3, x1, x1*x2*x3*x4^2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1*x2*x4^2*x2*x5, x4^3, x1*x2*x4^2, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x3*x4^2*x2*x5, x4^3, x1*x3, x1*x2*x4^2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1*x2*x5, x4^3, x2*x4^2, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x3*x4^2*x2*x5, x4^3, x1*x3, x1*x2*x3*x4^2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4*x5, x1, x1*x2*x4^2, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x3*x4^2*x2*x5, x4*x3*x4^2, x1, x1*x2*x4^2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1*x2*x5, x1*x4*x2, x1, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x3*x4^2*x2*x5, x4*x3*x4^2, x1, x1*x2*x3*x4^2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1*x2*x4^2*x2*x5, x1*x4^3, x1*x2*x4^2, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x3*x4^2*x2*x5, x4*x3*x4^2, x1*x3, x1*x2*x4^2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1*x2*x5, x1*x4*x2, x2*x4^2, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x3*x4^2*x2*x5, x4*x3*x4^2, x1*x3, x1*x2*x3*x4^2, x2*x3*x4*x2*x3*x4, x4^2
]
[ x2*x4^2*x2*x5, x4^3, x1, x1*x2*x4^2, x3, x2*x3*x4*x2*x3*x4 ]
[ x2*x4^2*x2*x5, x4^3, x1, x1*x2*x4^2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^2*x2*x5, x4^3, x1, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^2*x2*x5, x4^3, x1, x1*x2*x3*x4^2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^2*x2*x5, x4^3, x1*x2*x4^2, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^2*x2*x5, x4^3, x1*x3, x1*x2*x4^2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^2*x2*x5, x4^3, x2*x4^2, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^2*x2*x5, x4^3, x1*x3, x1*x2*x3*x4^2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^2*x2*x5, x1, x1*x2*x4^2, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^2*x2*x5, x4*x3*x4^2, x1, x1*x2*x4^2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^2*x2*x5, x1*x4*x2, x1, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^2*x2*x5, x4*x3*x4^2, x1, x1*x2*x3*x4^2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^2*x2*x5, x1*x4^3, x1*x2*x4^2, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^2*x2*x5, x4*x3*x4^2, x1*x3, x1*x2*x4^2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^2*x2*x5, x1*x4*x2, x2*x4^2, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^2*x2*x5, x4*x3*x4^2, x1*x3, x1*x2*x3*x4^2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4^3, x1, x1*x2*x4^2, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x3*x4^2*x2*x5, x4^3, x1, x1*x2*x4^2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1*x2*x5, x4^3, x1, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x3*x4^2*x2*x5, x4^3, x1, x1*x2*x3*x4^2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1*x2*x4^2*x2*x5, x4^3, x1*x2*x4^2, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x3*x4^2*x2*x5, x4^3, x1*x3, x1*x2*x4^2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1*x2*x5, x4^3, x2*x4^2, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x3*x4^2*x2*x5, x4^3, x1*x3, x1*x2*x3*x4^2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4*x5, x1, x1*x2*x4^2, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x3*x4^2*x2*x5, x4*x3*x4^2, x1, x1*x2*x4^2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1*x2*x5, x1*x4*x2, x1, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x3*x4^2*x2*x5, x4*x3*x4^2, x1, x1*x2*x3*x4^2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1*x2*x4^2*x2*x5, x1*x4^3, x1*x2*x4^2, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x3*x4^2*x2*x5, x4*x3*x4^2, x1*x3, x1*x2*x4^2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1*x2*x5, x1*x4*x2, x2*x4^2, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x3*x4^2*x2*x5, x4*x3*x4^2, x1*x3, x1*x2*x3*x4^2, x2*x3*x4*x2*x3*x4, x4^2
]
[ x2*x4^2*x2*x5, x4^3, x1, x1*x2*x4^2, x3, x2*x3*x4*x2*x3*x4 ]
[ x1*x4*x1*x4*x5, x4*x1*x4, x2, x3, x3*x5*x3*x5, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x5, x4*x1*x4, x2, x1*x4*x1, x3*x5*x3*x5, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x5, x4*x1*x4, x2, x1*x3*x4*x1, x3*x5*x3*x5, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x5, x4*x1*x4, x3, x1*x4*x1, x3*x5*x3*x5, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x5, x4*x1*x4, x1*x2*x4*x1, x3, x3*x5*x3*x5, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x5, x4*x1*x4, x2*x3, x1*x4*x1, x3*x5*x3*x5, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x5, x4*x1*x4, x1*x2*x4*x1, x1*x3*x4*x1, x3*x5*x3*x5,
x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x5, x2, x3, x1*x4*x1, x3*x5*x3*x5, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x5, x1*x4*x1*x4*x1*x4, x2, x3, x3*x5*x3*x5, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x5, x3*x4*x1*x4, x2, x1*x4*x1, x3*x5*x3*x5, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x5, x1*x4*x1*x4*x1*x4, x2, x1*x3*x4*x1, x3*x5*x3*x5,
x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x5, x2*x4*x1*x4, x3, x1*x4*x1, x3*x5*x3*x5, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x5, x1*x4*x1*x4*x1*x4, x1*x2*x4*x1, x3, x3*x5*x3*x5,
x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x5, x3*x4*x1*x4, x2*x3, x1*x4*x1, x3*x5*x3*x5, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x5, x1*x4*x1*x4*x1*x4, x1*x2*x4*x1, x1*x3*x4*x1, x3*x5*x3*x5,
x1*x4*x1*x4 ]
[ x4*x1*x4, x2, x3, x1*x4*x1, x3*x5*x3*x5, x1*x4*x1*x4 ]
[ x4*x5, x4*x1*x4, x2, x3, x3*x5*x3*x5, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x5*x3, x4*x1*x4, x2, x1*x4*x1, x3*x5*x3*x5, x1*x4*x1*x4 ]
[ x4*x5, x4*x1*x4, x2, x1*x3*x4*x1, x3*x5*x3*x5, x1*x4*x1*x4 ]
[ x1*x2*x4*x1*x4*x5, x4*x1*x4, x3, x1*x4*x1, x3*x5*x3*x5, x1*x4*x1*x4 ]
[ x4*x5, x4*x1*x4, x1*x2*x4*x1, x3, x3*x5*x3*x5, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x5*x3, x4*x1*x4, x2*x3, x1*x4*x1, x3*x5*x3*x5, x1*x4*x1*x4 ]
[ x4*x5, x4*x1*x4, x1*x2*x4*x1, x1*x3*x4*x1, x3*x5*x3*x5, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x5, x2, x3, x1*x4*x1, x3*x5*x3*x5, x1*x4*x1*x4 ]
[ x4*x5, x1*x4*x1*x4*x1*x4, x2, x3, x3*x5*x3*x5, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x5*x3, x3*x4*x1*x4, x2, x1*x4*x1, x3*x5*x3*x5, x1*x4*x1*x4 ]
[ x4*x5, x1*x4*x1*x4*x1*x4, x2, x1*x3*x4*x1, x3*x5*x3*x5, x1*x4*x1*x4 ]
[ x1*x2*x4*x1*x4*x5, x2*x4*x1*x4, x3, x1*x4*x1, x3*x5*x3*x5, x1*x4*x1*x4 ]
[ x4*x5, x1*x4*x1*x4*x1*x4, x1*x2*x4*x1, x3, x3*x5*x3*x5, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x5*x3, x3*x4*x1*x4, x2*x3, x1*x4*x1, x3*x5*x3*x5, x1*x4*x1*x4 ]
[ x4*x5, x1*x4*x1*x4*x1*x4, x1*x2*x4*x1, x1*x3*x4*x1, x3*x5*x3*x5,
x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x5, x4*x1*x4, x2, x3, x1*x4*x1, x3*x5*x3*x5 ]
[ x2*x4^2*x2*x5, x4^3, x3*x4^2, x1, x1*x3*x1*x3, x4^2 ]
[ x2*x4^2*x2*x5, x4^3, x3*x4^2, x2*x4^2, x1*x3*x1*x3, x4^2 ]
[ x2*x4^2*x2*x5, x4^3, x3*x4^2, x1*x2*x4^2, x1*x3*x1*x3, x4^2 ]
[ x2*x4^2*x2*x5, x4^3, x1, x2*x4^2, x1*x3*x1*x3, x4^2 ]
[ x2*x4^2*x2*x5, x4^3, x2*x3, x1, x1*x3*x1*x3, x4^2 ]
[ x2*x4^2*x2*x5, x4^3, x3*x1*x4^2, x2*x4^2, x1*x3*x1*x3, x4^2 ]
[ x2*x4^2*x2*x5, x4^3, x2*x3, x1*x2*x4^2, x1*x3*x1*x3, x4^2 ]
[ x2*x4^2*x2*x5, x3*x4^2, x1, x2*x4^2, x1*x3*x1*x3, x4^2 ]
[ x2*x4^2*x2*x5, x4*x2, x3*x4^2, x1, x1*x3*x1*x3, x4^2 ]
[ x2*x4^2*x2*x5, x1*x4^3, x3*x4^2, x2*x4^2, x1*x3*x1*x3, x4^2 ]
[ x2*x4^2*x2*x5, x4*x2, x3*x4^2, x1*x2*x4^2, x1*x3*x1*x3, x4^2 ]
[ x2*x4^2*x2*x5, x2*x3*x4*x2, x1, x2*x4^2, x1*x3*x1*x3, x4^2 ]
[ x2*x4^2*x2*x5, x4*x2, x2*x3, x1, x1*x3*x1*x3, x4^2 ]
[ x2*x4^2*x2*x5, x1*x4^3, x3*x1*x4^2, x2*x4^2, x1*x3*x1*x3, x4^2 ]
[ x2*x4^2*x2*x5, x4*x2, x2*x3, x1*x2*x4^2, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3*x4^2, x1, x2*x4^2, x1*x3*x1*x3, x4^2 ]
[ x2*x5, x4^3, x3*x4^2, x1, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4^2*x2*x5, x4^3, x3*x4^2, x2*x4^2, x1*x3*x1*x3, x4^2 ]
[ x2*x5, x4^3, x3*x4^2, x1*x2*x4^2, x1*x3*x1*x3, x4^2 ]
[ x3*x5, x4^3, x1, x2*x4^2, x1*x3*x1*x3, x4^2 ]
[ x2*x5, x4^3, x2*x3, x1, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4^2*x2*x5, x4^3, x3*x1*x4^2, x2*x4^2, x1*x3*x1*x3, x4^2 ]
[ x2*x5, x4^3, x2*x3, x1*x2*x4^2, x1*x3*x1*x3, x4^2 ]
[ x4*x5, x3*x4^2, x1, x2*x4^2, x1*x3*x1*x3, x4^2 ]
[ x2*x5, x4*x2, x3*x4^2, x1, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4^2*x2*x5, x1*x4^3, x3*x4^2, x2*x4^2, x1*x3*x1*x3, x4^2 ]
[ x2*x5, x4*x2, x3*x4^2, x1*x2*x4^2, x1*x3*x1*x3, x4^2 ]
[ x3*x5, x2*x3*x4*x2, x1, x2*x4^2, x1*x3*x1*x3, x4^2 ]
[ x2*x5, x4*x2, x2*x3, x1, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4^2*x2*x5, x1*x4^3, x3*x1*x4^2, x2*x4^2, x1*x3*x1*x3, x4^2 ]
[ x2*x5, x4*x2, x2*x3, x1*x2*x4^2, x1*x3*x1*x3, x4^2 ]
[ x2*x4^2*x2*x5, x4^3, x3*x4^2, x1, x2*x4^2, x1*x3*x1*x3 ]
[ x5^3, x4, x3, x1*x5^2, x2*x3*x2*x3, x5^2 ]
[ x5^3, x4, x3, x2, x2*x3*x2*x3, x5^2 ]
[ x5^3, x4, x3, x1*x2*x5^2, x2*x3*x2*x3, x5^2 ]
[ x5^3, x4, x1*x5^2, x2, x2*x3*x2*x3, x5^2 ]
[ x5^3, x4, x3*x2, x1*x5^2, x2*x3*x2*x3, x5^2 ]
[ x5^3, x4, x1*x3*x5^2, x2, x2*x3*x2*x3, x5^2 ]
[ x5^3, x4, x3*x2, x1*x2*x5^2, x2*x3*x2*x3, x5^2 ]
[ x5^3, x3, x1*x5^2, x2, x2*x3*x2*x3, x5^2 ]
[ x5^3, x2*x4, x3, x1*x5^2, x2*x3*x2*x3, x5^2 ]
[ x5^3, x1*x4*x5^2, x3, x2, x2*x3*x2*x3, x5^2 ]
[ x5^3, x2*x4, x3, x1*x2*x5^2, x2*x3*x2*x3, x5^2 ]
[ x5^3, x3*x4, x1*x5^2, x2, x2*x3*x2*x3, x5^2 ]
[ x5^3, x2*x4, x3*x2, x1*x5^2, x2*x3*x2*x3, x5^2 ]
[ x5^3, x1*x4*x5^2, x1*x3*x5^2, x2, x2*x3*x2*x3, x5^2 ]
[ x5^3, x2*x4, x3*x2, x1*x2*x5^2, x2*x3*x2*x3, x5^2 ]
[ x4, x3, x1*x5^2, x2, x2*x3*x2*x3, x5^2 ]
[ x2*x5^3, x4, x3, x1*x5^2, x2*x3*x2*x3, x5^2 ]
[ x5*x1, x4, x3, x2, x2*x3*x2*x3, x5^2 ]
[ x2*x5^3, x4, x3, x1*x2*x5^2, x2*x3*x2*x3, x5^2 ]
[ x3*x5^3, x4, x1*x5^2, x2, x2*x3*x2*x3, x5^2 ]
[ x2*x5^3, x4, x3*x2, x1*x5^2, x2*x3*x2*x3, x5^2 ]
[ x5*x1, x4, x1*x3*x5^2, x2, x2*x3*x2*x3, x5^2 ]
[ x2*x5^3, x4, x3*x2, x1*x2*x5^2, x2*x3*x2*x3, x5^2 ]
[ x4*x5^3, x3, x1*x5^2, x2, x2*x3*x2*x3, x5^2 ]
[ x2*x5^3, x2*x4, x3, x1*x5^2, x2*x3*x2*x3, x5^2 ]
[ x5*x1, x1*x4*x5^2, x3, x2, x2*x3*x2*x3, x5^2 ]
[ x2*x5^3, x2*x4, x3, x1*x2*x5^2, x2*x3*x2*x3, x5^2 ]
[ x3*x5^3, x3*x4, x1*x5^2, x2, x2*x3*x2*x3, x5^2 ]
[ x2*x5^3, x2*x4, x3*x2, x1*x5^2, x2*x3*x2*x3, x5^2 ]
[ x5*x1, x1*x4*x5^2, x1*x3*x5^2, x2, x2*x3*x2*x3, x5^2 ]
[ x2*x5^3, x2*x4, x3*x2, x1*x2*x5^2, x2*x3*x2*x3, x5^2 ]
[ x5^3, x4, x3, x1*x5^2, x2, x2*x3*x2*x3 ]
[ x5^3, x4, x1, x5^2*x2, x2*x4*x2*x4, x5^2 ]
[ x5^3, x4, x1, x1*x3*x5^2*x2, x2*x4*x2*x4, x5^2 ]
[ x5^3, x4, x1, x1*x3, x2*x4*x2*x4, x5^2 ]
[ x5^3, x4, x5^2*x2, x1*x3*x5^2*x2, x2*x4*x2*x4, x5^2 ]
[ x5^3, x4, x3*x5^2*x2, x5^2*x2, x2*x4*x2*x4, x5^2 ]
[ x5^3, x4, x1*x5^2*x2, x1*x3*x5^2*x2, x2*x4*x2*x4, x5^2 ]
[ x5^3, x4, x3*x5^2*x2, x1*x3, x2*x4*x2*x4, x5^2 ]
[ x5^3, x1, x5^2*x2, x1*x3*x5^2*x2, x2*x4*x2*x4, x5^2 ]
[ x5^3, x1*x3*x4*x5^2*x2, x1, x5^2*x2, x2*x4*x2*x4, x5^2 ]
[ x5^3, x4*x5^2*x2, x1, x1*x3*x5^2*x2, x2*x4*x2*x4, x5^2 ]
[ x5^3, x1*x3*x4*x5^2*x2, x1, x1*x3, x2*x4*x2*x4, x5^2 ]
[ x5^3, x1*x4, x5^2*x2, x1*x3*x5^2*x2, x2*x4*x2*x4, x5^2 ]
[ x5^3, x1*x3*x4*x5^2*x2, x3*x5^2*x2, x5^2*x2, x2*x4*x2*x4, x5^2 ]
[ x5^3, x4*x5^2*x2, x1*x5^2*x2, x1*x3*x5^2*x2, x2*x4*x2*x4, x5^2 ]
[ x5^3, x1*x3*x4*x5^2*x2, x3*x5^2*x2, x1*x3, x2*x4*x2*x4, x5^2 ]
[ x4, x1, x5^2*x2, x1*x3*x5^2*x2, x2*x4*x2*x4, x5^2 ]
[ x1*x2*x3*x5, x4, x1, x5^2*x2, x2*x4*x2*x4, x5^2 ]
[ x2*x5, x4, x1, x1*x3*x5^2*x2, x2*x4*x2*x4, x5^2 ]
[ x1*x2*x3*x5, x4, x1, x1*x3, x2*x4*x2*x4, x5^2 ]
[ x1*x5^3, x4, x5^2*x2, x1*x3*x5^2*x2, x2*x4*x2*x4, x5^2 ]
[ x1*x2*x3*x5, x4, x3*x5^2*x2, x5^2*x2, x2*x4*x2*x4, x5^2 ]
[ x2*x5, x4, x1*x5^2*x2, x1*x3*x5^2*x2, x2*x4*x2*x4, x5^2 ]
[ x1*x2*x3*x5, x4, x3*x5^2*x2, x1*x3, x2*x4*x2*x4, x5^2 ]
[ x2*x4*x2*x5^3, x1, x5^2*x2, x1*x3*x5^2*x2, x2*x4*x2*x4, x5^2 ]
[ x1*x2*x3*x5, x1*x3*x4*x5^2*x2, x1, x5^2*x2, x2*x4*x2*x4, x5^2 ]
[ x2*x5, x4*x5^2*x2, x1, x1*x3*x5^2*x2, x2*x4*x2*x4, x5^2 ]
[ x1*x2*x3*x5, x1*x3*x4*x5^2*x2, x1, x1*x3, x2*x4*x2*x4, x5^2 ]
[ x1*x5^3, x1*x4, x5^2*x2, x1*x3*x5^2*x2, x2*x4*x2*x4, x5^2 ]
[ x1*x2*x3*x5, x1*x3*x4*x5^2*x2, x3*x5^2*x2, x5^2*x2, x2*x4*x2*x4, x5^2 ]
[ x2*x5, x4*x5^2*x2, x1*x5^2*x2, x1*x3*x5^2*x2, x2*x4*x2*x4, x5^2 ]
[ x1*x2*x3*x5, x1*x3*x4*x5^2*x2, x3*x5^2*x2, x1*x3, x2*x4*x2*x4, x5^2 ]
[ x5^3, x4, x1, x5^2*x2, x1*x3*x5^2*x2, x2*x4*x2*x4 ]
[ x1*x4^2*x1*x5, x4^3, x1*x4^2, x2, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x4^2*x1*x5, x4^3, x1*x4^2, x2*x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x4^2*x1*x5, x4^3, x1*x4^2, x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x4^2*x1*x5, x4^3, x2, x2*x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x4^2*x1*x5, x4^3, x1*x2*x3*x4^2, x2, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x4^2*x1*x5, x4^3, x1*x2*x4^2, x2*x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x4^2*x1*x5, x4^3, x1*x2*x3*x4^2, x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x4^2*x1*x5, x1*x4^2, x2, x2*x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x4^2*x1*x5, x2*x4*x3*x4^2, x1*x4^2, x2, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x4^2*x1*x5, x2*x4^3, x1*x4^2, x2*x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x4^2*x1*x5, x2*x4*x3*x4^2, x1*x4^2, x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x4^2*x1*x5, x4*x1, x2, x2*x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x4^2*x1*x5, x2*x4*x3*x4^2, x1*x2*x3*x4^2, x2, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x4^2*x1*x5, x2*x4^3, x1*x2*x4^2, x2*x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x4^2*x1*x5, x2*x4*x3*x4^2, x1*x2*x3*x4^2, x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x1*x4^2, x2, x2*x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x2*x3*x4^2*x1*x5, x4^3, x1*x4^2, x2, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x2*x4^2*x1*x5, x4^3, x1*x4^2, x2*x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x2*x3*x4^2*x1*x5, x4^3, x1*x4^2, x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x5, x4^3, x2, x2*x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x2*x3*x4^2*x1*x5, x4^3, x1*x2*x3*x4^2, x2, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x2*x4^2*x1*x5, x4^3, x1*x2*x4^2, x2*x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x2*x3*x4^2*x1*x5, x4^3, x1*x2*x3*x4^2, x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4*x5, x1*x4^2, x2, x2*x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x2*x3*x4^2*x1*x5, x2*x4*x3*x4^2, x1*x4^2, x2, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x2*x4^2*x1*x5, x2*x4^3, x1*x4^2, x2*x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x2*x3*x4^2*x1*x5, x2*x4*x3*x4^2, x1*x4^2, x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x5, x4*x1, x2, x2*x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x2*x3*x4^2*x1*x5, x2*x4*x3*x4^2, x1*x2*x3*x4^2, x2, x1*x3*x4*x1*x3*x4,
x4^2 ]
[ x1*x2*x4^2*x1*x5, x2*x4^3, x1*x2*x4^2, x2*x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x2*x3*x4^2*x1*x5, x2*x4*x3*x4^2, x1*x2*x3*x4^2, x3, x1*x3*x4*x1*x3*x4,
x4^2 ]
[ x1*x4^2*x1*x5, x4^3, x1*x4^2, x2, x2*x3, x1*x3*x4*x1*x3*x4 ]
[ x1*x4^2*x1*x5, x4^3, x1*x4^2, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4^2*x1*x5, x4^3, x1*x4^2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4^2*x1*x5, x4^3, x1*x4^2, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4^2*x1*x5, x4^3, x2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4^2*x1*x5, x4^3, x1*x3*x4^2, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4^2*x1*x5, x4^3, x1*x2*x4^2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4^2*x1*x5, x4^3, x1*x3*x4^2, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4^2*x1*x5, x1*x4^2, x2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4^2*x1*x5, x3*x4^3, x1*x4^2, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4^2*x1*x5, x4*x2*x4^2, x1*x4^2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4^2*x1*x5, x3*x4^3, x1*x4^2, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4^2*x1*x5, x4*x1, x2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4^2*x1*x5, x3*x4^3, x1*x3*x4^2, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4^2*x1*x5, x4*x2*x4^2, x1*x2*x4^2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4^2*x1*x5, x3*x4^3, x1*x3*x4^2, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x4^2, x2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4^2*x1*x5, x4^3, x1*x4^2, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x2*x4^2*x1*x5, x4^3, x1*x4^2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4^2*x1*x5, x4^3, x1*x4^2, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x5, x4^3, x2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4^2*x1*x5, x4^3, x1*x3*x4^2, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x2*x4^2*x1*x5, x4^3, x1*x2*x4^2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4^2*x1*x5, x4^3, x1*x3*x4^2, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4*x5, x1*x4^2, x2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4^2*x1*x5, x3*x4^3, x1*x4^2, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x2*x4^2*x1*x5, x4*x2*x4^2, x1*x4^2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4^2*x1*x5, x3*x4^3, x1*x4^2, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x5, x4*x1, x2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4^2*x1*x5, x3*x4^3, x1*x3*x4^2, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x2*x4^2*x1*x5, x4*x2*x4^2, x1*x2*x4^2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4^2*x1*x5, x3*x4^3, x1*x3*x4^2, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4^2*x1*x5, x4^3, x1*x4^2, x2, x3, x1*x2*x4*x1*x2*x4 ]
[ x1*x4^2*x1*x5, x4^3, x1*x4^2, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4^2*x1*x5, x4^3, x1*x4^2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4^2*x1*x5, x4^3, x1*x4^2, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4^2*x1*x5, x4^3, x2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4^2*x1*x5, x4^3, x1*x3*x4^2, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4^2*x1*x5, x4^3, x1*x2*x4^2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4^2*x1*x5, x4^3, x1*x3*x4^2, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4^2*x1*x5, x1*x4^2, x2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4^2*x1*x5, x3*x4^3, x1*x4^2, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4^2*x1*x5, x4*x2*x4^2, x1*x4^2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4^2*x1*x5, x3*x4^3, x1*x4^2, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4^2*x1*x5, x4*x1, x2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4^2*x1*x5, x3*x4^3, x1*x3*x4^2, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4^2*x1*x5, x4*x2*x4^2, x1*x2*x4^2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4^2*x1*x5, x3*x4^3, x1*x3*x4^2, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x4^2, x2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4^2*x1*x5, x4^3, x1*x4^2, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x2*x4^2*x1*x5, x4^3, x1*x4^2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4^2*x1*x5, x4^3, x1*x4^2, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x5, x4^3, x2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4^2*x1*x5, x4^3, x1*x3*x4^2, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x2*x4^2*x1*x5, x4^3, x1*x2*x4^2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4^2*x1*x5, x4^3, x1*x3*x4^2, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4*x5, x1*x4^2, x2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4^2*x1*x5, x3*x4^3, x1*x4^2, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x2*x4^2*x1*x5, x4*x2*x4^2, x1*x4^2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4^2*x1*x5, x3*x4^3, x1*x4^2, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x5, x4*x1, x2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4^2*x1*x5, x3*x4^3, x1*x3*x4^2, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x2*x4^2*x1*x5, x4*x2*x4^2, x1*x2*x4^2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4^2*x1*x5, x3*x4^3, x1*x3*x4^2, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4^2*x1*x5, x4^3, x1*x4^2, x2, x3, x1*x2*x4*x1*x2*x4 ]
[ x5^3, x4, x1, x2, x2*x4*x2*x4, x5^2 ]
[ x5^3, x4, x1, x1*x3, x2*x4*x2*x4, x5^2 ]
[ x5^3, x4, x1, x1*x2*x3, x2*x4*x2*x4, x5^2 ]
[ x5^3, x4, x2, x1*x3, x2*x4*x2*x4, x5^2 ]
[ x5^3, x4, x3, x2, x2*x4*x2*x4, x5^2 ]
[ x5^3, x4, x1*x2, x1*x3, x2*x4*x2*x4, x5^2 ]
[ x5^3, x4, x3, x1*x2*x3, x2*x4*x2*x4, x5^2 ]
[ x5^3, x1, x2, x1*x3, x2*x4*x2*x4, x5^2 ]
[ x5^3, x1*x3*x4, x1, x2, x2*x4*x2*x4, x5^2 ]
[ x5^3, x4*x2, x1, x1*x3, x2*x4*x2*x4, x5^2 ]
[ x5^3, x1*x3*x4, x1, x1*x2*x3, x2*x4*x2*x4, x5^2 ]
[ x5^3, x1*x4, x2, x1*x3, x2*x4*x2*x4, x5^2 ]
[ x5^3, x1*x3*x4, x3, x2, x2*x4*x2*x4, x5^2 ]
[ x5^3, x4*x2, x1*x2, x1*x3, x2*x4*x2*x4, x5^2 ]
[ x5^3, x1*x3*x4, x3, x1*x2*x3, x2*x4*x2*x4, x5^2 ]
[ x4, x1, x2, x1*x3, x2*x4*x2*x4, x5^2 ]
[ x1*x3*x5^3, x4, x1, x2, x2*x4*x2*x4, x5^2 ]
[ x2*x5^3, x4, x1, x1*x3, x2*x4*x2*x4, x5^2 ]
[ x1*x3*x5^3, x4, x1, x1*x2*x3, x2*x4*x2*x4, x5^2 ]
[ x1*x5^3, x4, x2, x1*x3, x2*x4*x2*x4, x5^2 ]
[ x1*x3*x5^3, x4, x3, x2, x2*x4*x2*x4, x5^2 ]
[ x2*x5^3, x4, x1*x2, x1*x3, x2*x4*x2*x4, x5^2 ]
[ x1*x3*x5^3, x4, x3, x1*x2*x3, x2*x4*x2*x4, x5^2 ]
[ x4*x5^3, x1, x2, x1*x3, x2*x4*x2*x4, x5^2 ]
[ x1*x3*x5^3, x1*x3*x4, x1, x2, x2*x4*x2*x4, x5^2 ]
[ x2*x5^3, x4*x2, x1, x1*x3, x2*x4*x2*x4, x5^2 ]
[ x1*x3*x5^3, x1*x3*x4, x1, x1*x2*x3, x2*x4*x2*x4, x5^2 ]
[ x1*x5^3, x1*x4, x2, x1*x3, x2*x4*x2*x4, x5^2 ]
[ x1*x3*x5^3, x1*x3*x4, x3, x2, x2*x4*x2*x4, x5^2 ]
[ x2*x5^3, x4*x2, x1*x2, x1*x3, x2*x4*x2*x4, x5^2 ]
[ x1*x3*x5^3, x1*x3*x4, x3, x1*x2*x3, x2*x4*x2*x4, x5^2 ]
[ x5^3, x4, x1, x2, x1*x3, x2*x4*x2*x4 ]
[ x5^3, x5^2*x1, x2, x3, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x5^3, x5^2*x1, x2, x2*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x5^3, x5^2*x1, x2, x2*x3*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x5^3, x5^2*x1, x3, x2*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x5^3, x5^2*x1, x4, x3, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x5^3, x5^2*x1, x2*x3, x2*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x5^3, x5^2*x1, x4, x2*x3*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x5^3, x2, x3, x2*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x5^3, x2*x4*x5^2*x1, x2, x3, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x5^3, x3*x5^2*x1, x2, x2*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x5^3, x2*x4*x5^2*x1, x2, x2*x3*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x5^3, x2*x5^2*x1, x3, x2*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x5^3, x2*x4*x5^2*x1, x4, x3, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x5^3, x3*x5^2*x1, x2*x3, x2*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x5^3, x2*x4*x5^2*x1, x4, x2*x3*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x5^2*x1, x2, x3, x2*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x2*x4*x5^3, x5^2*x1, x2, x3, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x5*x3*x5^2, x5^2*x1, x2, x2*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x2*x4*x5^3, x5^2*x1, x2, x2*x3*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x2*x5^3, x5^2*x1, x3, x2*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x2*x4*x5^3, x5^2*x1, x4, x3, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x5*x3*x5^2, x5^2*x1, x2*x3, x2*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x2*x4*x5^3, x5^2*x1, x4, x2*x3*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x5, x2, x3, x2*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x2*x4*x5^3, x2*x4*x5^2*x1, x2, x3, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x5*x3*x5^2, x3*x5^2*x1, x2, x2*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x2*x4*x5^3, x2*x4*x5^2*x1, x2, x2*x3*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x2*x5^3, x2*x5^2*x1, x3, x2*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x2*x4*x5^3, x2*x4*x5^2*x1, x4, x3, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x5*x3*x5^2, x3*x5^2*x1, x2*x3, x2*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x2*x4*x5^3, x2*x4*x5^2*x1, x4, x2*x3*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x5^3, x5^2*x1, x2, x3, x2*x4, x1*x3*x5*x1*x3*x5 ]
[ x5^3, x5^2*x1, x2, x3*x5^2*x1, x1*x2*x5*x1*x2*x5, x5^2 ]
[ x5^3, x5^2*x1, x2, x4, x1*x2*x5*x1*x2*x5, x5^2 ]
[ x5^3, x5^2*x1, x2, x3*x4*x5^2*x1, x1*x2*x5*x1*x2*x5, x5^2 ]
[ x5^3, x5^2*x1, x3*x5^2*x1, x4, x1*x2*x5*x1*x2*x5, x5^2 ]
[ x5^3, x5^2*x1, x2*x4, x3*x5^2*x1, x1*x2*x5*x1*x2*x5, x5^2 ]
[ x5^3, x5^2*x1, x2*x3*x5^2*x1, x4, x1*x2*x5*x1*x2*x5, x5^2 ]
[ x5^3, x5^2*x1, x2*x4, x3*x4*x5^2*x1, x1*x2*x5*x1*x2*x5, x5^2 ]
[ x5^3, x2, x3*x5^2*x1, x4, x1*x2*x5*x1*x2*x5, x5^2 ]
[ x5^3, x4*x5^2*x1, x2, x3*x5^2*x1, x1*x2*x5*x1*x2*x5, x5^2 ]
[ x5^3, x3, x2, x4, x1*x2*x5*x1*x2*x5, x5^2 ]
[ x5^3, x4*x5^2*x1, x2, x3*x4*x5^2*x1, x1*x2*x5*x1*x2*x5, x5^2 ]
[ x5^3, x2*x5^2*x1, x3*x5^2*x1, x4, x1*x2*x5*x1*x2*x5, x5^2 ]
[ x5^3, x4*x5^2*x1, x2*x4, x3*x5^2*x1, x1*x2*x5*x1*x2*x5, x5^2 ]
[ x5^3, x3, x2*x3*x5^2*x1, x4, x1*x2*x5*x1*x2*x5, x5^2 ]
[ x5^3, x4*x5^2*x1, x2*x4, x3*x4*x5^2*x1, x1*x2*x5*x1*x2*x5, x5^2 ]
[ x5^2*x1, x2, x3*x5^2*x1, x4, x1*x2*x5*x1*x2*x5, x5^2 ]
[ x4*x5^3, x5^2*x1, x2, x3*x5^2*x1, x1*x2*x5*x1*x2*x5, x5^2 ]
[ x1*x3*x5, x5^2*x1, x2, x4, x1*x2*x5*x1*x2*x5, x5^2 ]
[ x4*x5^3, x5^2*x1, x2, x3*x4*x5^2*x1, x1*x2*x5*x1*x2*x5, x5^2 ]
[ x5*x2*x5^2, x5^2*x1, x3*x5^2*x1, x4, x1*x2*x5*x1*x2*x5, x5^2 ]
[ x4*x5^3, x5^2*x1, x2*x4, x3*x5^2*x1, x1*x2*x5*x1*x2*x5, x5^2 ]
[ x1*x3*x5, x5^2*x1, x2*x3*x5^2*x1, x4, x1*x2*x5*x1*x2*x5, x5^2 ]
[ x4*x5^3, x5^2*x1, x2*x4, x3*x4*x5^2*x1, x1*x2*x5*x1*x2*x5, x5^2 ]
[ x1*x5, x2, x3*x5^2*x1, x4, x1*x2*x5*x1*x2*x5, x5^2 ]
[ x4*x5^3, x4*x5^2*x1, x2, x3*x5^2*x1, x1*x2*x5*x1*x2*x5, x5^2 ]
[ x1*x3*x5, x3, x2, x4, x1*x2*x5*x1*x2*x5, x5^2 ]
[ x4*x5^3, x4*x5^2*x1, x2, x3*x4*x5^2*x1, x1*x2*x5*x1*x2*x5, x5^2 ]
[ x5*x2*x5^2, x2*x5^2*x1, x3*x5^2*x1, x4, x1*x2*x5*x1*x2*x5, x5^2 ]
[ x4*x5^3, x4*x5^2*x1, x2*x4, x3*x5^2*x1, x1*x2*x5*x1*x2*x5, x5^2 ]
[ x1*x3*x5, x3, x2*x3*x5^2*x1, x4, x1*x2*x5*x1*x2*x5, x5^2 ]
[ x4*x5^3, x4*x5^2*x1, x2*x4, x3*x4*x5^2*x1, x1*x2*x5*x1*x2*x5, x5^2 ]
[ x5^3, x5^2*x1, x2, x3*x5^2*x1, x4, x1*x2*x5*x1*x2*x5 ]
[ x5, x2*x1*x2, x1*x2*x1, x3, x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x5, x2*x1*x2, x1*x2*x1, x4, x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x5, x2*x1*x2, x1*x2*x1, x3*x4, x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x5, x2*x1*x2, x3, x4, x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x5, x2*x1*x2, x1*x2*x1*x4, x3, x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x5, x2*x1*x2, x1*x2*x1*x3, x4, x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x5, x2*x1*x2, x1*x2*x1*x4, x3*x4, x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x5, x1*x2*x1, x3, x4, x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x5, x2*x1*x2*x4, x1*x2*x1, x3, x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x5, x2*x1*x2*x3, x1*x2*x1, x4, x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x5, x2*x1*x2*x4, x1*x2*x1, x3*x4, x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x5, x1*x2*x1*x2*x1*x2, x3, x4, x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x5, x2*x1*x2*x4, x1*x2*x1*x4, x3, x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x5, x2*x1*x2*x3, x1*x2*x1*x3, x4, x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x5, x2*x1*x2*x4, x1*x2*x1*x4, x3*x4, x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x2*x1*x2, x1*x2*x1, x3, x4, x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x4*x5, x2*x1*x2, x1*x2*x1, x3, x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x5*x3, x2*x1*x2, x1*x2*x1, x4, x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x4*x5, x2*x1*x2, x1*x2*x1, x3*x4, x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x1*x2*x1*x5, x2*x1*x2, x3, x4, x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x4*x5, x2*x1*x2, x1*x2*x1*x4, x3, x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x5*x3, x2*x1*x2, x1*x2*x1*x3, x4, x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x4*x5, x2*x1*x2, x1*x2*x1*x4, x3*x4, x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x2*x1*x2*x5, x1*x2*x1, x3, x4, x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x4*x5, x2*x1*x2*x4, x1*x2*x1, x3, x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x5*x3, x2*x1*x2*x3, x1*x2*x1, x4, x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x4*x5, x2*x1*x2*x4, x1*x2*x1, x3*x4, x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x1*x2*x1*x5, x1*x2*x1*x2*x1*x2, x3, x4, x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x4*x5, x2*x1*x2*x4, x1*x2*x1*x4, x3, x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x5*x3, x2*x1*x2*x3, x1*x2*x1*x3, x4, x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x4*x5, x2*x1*x2*x4, x1*x2*x1*x4, x3*x4, x3*x5*x3*x5, x1*x2*x1*x2 ]
[ x5, x2*x1*x2, x1*x2*x1, x3, x4, x3*x5*x3*x5 ]
[ x5^3, x1*x4, x3, x1, x2*x3*x2*x3, x5^2 ]
[ x5^3, x1*x4, x3, x2, x2*x3*x2*x3, x5^2 ]
[ x5^3, x1*x4, x3, x1*x2, x2*x3*x2*x3, x5^2 ]
[ x5^3, x1*x4, x1, x2, x2*x3*x2*x3, x5^2 ]
[ x5^3, x1*x4, x3*x2, x1, x2*x3*x2*x3, x5^2 ]
[ x5^3, x1*x4, x1*x3, x2, x2*x3*x2*x3, x5^2 ]
[ x5^3, x1*x4, x3*x2, x1*x2, x2*x3*x2*x3, x5^2 ]
[ x5^3, x3, x1, x2, x2*x3*x2*x3, x5^2 ]
[ x5^3, x1*x2*x4, x3, x1, x2*x3*x2*x3, x5^2 ]
[ x5^3, x4, x3, x2, x2*x3*x2*x3, x5^2 ]
[ x5^3, x1*x2*x4, x3, x1*x2, x2*x3*x2*x3, x5^2 ]
[ x5^3, x1*x3*x4, x1, x2, x2*x3*x2*x3, x5^2 ]
[ x5^3, x1*x2*x4, x3*x2, x1, x2*x3*x2*x3, x5^2 ]
[ x5^3, x4, x1*x3, x2, x2*x3*x2*x3, x5^2 ]
[ x5^3, x1*x2*x4, x3*x2, x1*x2, x2*x3*x2*x3, x5^2 ]
[ x1*x4, x3, x1, x2, x2*x3*x2*x3, x5^2 ]
[ x2*x5^3, x1*x4, x3, x1, x2*x3*x2*x3, x5^2 ]
[ x1*x5^3, x1*x4, x3, x2, x2*x3*x2*x3, x5^2 ]
[ x2*x5^3, x1*x4, x3, x1*x2, x2*x3*x2*x3, x5^2 ]
[ x3*x5^3, x1*x4, x1, x2, x2*x3*x2*x3, x5^2 ]
[ x2*x5^3, x1*x4, x3*x2, x1, x2*x3*x2*x3, x5^2 ]
[ x1*x5^3, x1*x4, x1*x3, x2, x2*x3*x2*x3, x5^2 ]
[ x2*x5^3, x1*x4, x3*x2, x1*x2, x2*x3*x2*x3, x5^2 ]
[ x1*x4*x5^3, x3, x1, x2, x2*x3*x2*x3, x5^2 ]
[ x2*x5^3, x1*x2*x4, x3, x1, x2*x3*x2*x3, x5^2 ]
[ x1*x5^3, x4, x3, x2, x2*x3*x2*x3, x5^2 ]
[ x2*x5^3, x1*x2*x4, x3, x1*x2, x2*x3*x2*x3, x5^2 ]
[ x3*x5^3, x1*x3*x4, x1, x2, x2*x3*x2*x3, x5^2 ]
[ x2*x5^3, x1*x2*x4, x3*x2, x1, x2*x3*x2*x3, x5^2 ]
[ x1*x5^3, x4, x1*x3, x2, x2*x3*x2*x3, x5^2 ]
[ x2*x5^3, x1*x2*x4, x3*x2, x1*x2, x2*x3*x2*x3, x5^2 ]
[ x5^3, x1*x4, x3, x1, x2, x2*x3*x2*x3 ]
[ x5^3, x1, x5^2*x2, x3*x5^2*x2, x2*x5*x2*x5, x5^2 ]
[ x5^3, x1, x5^2*x2, x4, x2*x5*x2*x5, x5^2 ]
[ x5^3, x1, x5^2*x2, x3*x4*x5^2*x2, x2*x5*x2*x5, x5^2 ]
[ x5^3, x1, x3*x5^2*x2, x4, x2*x5*x2*x5, x5^2 ]
[ x5^3, x1, x4*x5^2*x2, x3*x5^2*x2, x2*x5*x2*x5, x5^2 ]
[ x5^3, x1, x3, x4, x2*x5*x2*x5, x5^2 ]
[ x5^3, x1, x4*x5^2*x2, x3*x4*x5^2*x2, x2*x5*x2*x5, x5^2 ]
[ x5^3, x5^2*x2, x3*x5^2*x2, x4, x2*x5*x2*x5, x5^2 ]
[ x5^3, x1*x4, x5^2*x2, x3*x5^2*x2, x2*x5*x2*x5, x5^2 ]
[ x5^3, x1*x3*x5^2*x2, x5^2*x2, x4, x2*x5*x2*x5, x5^2 ]
[ x5^3, x1*x4, x5^2*x2, x3*x4*x5^2*x2, x2*x5*x2*x5, x5^2 ]
[ x5^3, x1*x5^2*x2, x3*x5^2*x2, x4, x2*x5*x2*x5, x5^2 ]
[ x5^3, x1*x4, x4*x5^2*x2, x3*x5^2*x2, x2*x5*x2*x5, x5^2 ]
[ x5^3, x1*x3*x5^2*x2, x3, x4, x2*x5*x2*x5, x5^2 ]
[ x5^3, x1*x4, x4*x5^2*x2, x3*x4*x5^2*x2, x2*x5*x2*x5, x5^2 ]
[ x1, x5^2*x2, x3*x5^2*x2, x4, x2*x5*x2*x5, x5^2 ]
[ x4*x5^3, x1, x5^2*x2, x3*x5^2*x2, x2*x5*x2*x5, x5^2 ]
[ x2*x3*x5, x1, x5^2*x2, x4, x2*x5*x2*x5, x5^2 ]
[ x4*x5^3, x1, x5^2*x2, x3*x4*x5^2*x2, x2*x5*x2*x5, x5^2 ]
[ x1*x2*x5*x1, x1, x3*x5^2*x2, x4, x2*x5*x2*x5, x5^2 ]
[ x4*x5^3, x1, x4*x5^2*x2, x3*x5^2*x2, x2*x5*x2*x5, x5^2 ]
[ x2*x3*x5, x1, x3, x4, x2*x5*x2*x5, x5^2 ]
[ x4*x5^3, x1, x4*x5^2*x2, x3*x4*x5^2*x2, x2*x5*x2*x5, x5^2 ]
[ x5*x1*x5^2, x5^2*x2, x3*x5^2*x2, x4, x2*x5*x2*x5, x5^2 ]
[ x4*x5^3, x1*x4, x5^2*x2, x3*x5^2*x2, x2*x5*x2*x5, x5^2 ]
[ x2*x3*x5, x1*x3*x5^2*x2, x5^2*x2, x4, x2*x5*x2*x5, x5^2 ]
[ x4*x5^3, x1*x4, x5^2*x2, x3*x4*x5^2*x2, x2*x5*x2*x5, x5^2 ]
[ x1*x2*x5*x1, x1*x5^2*x2, x3*x5^2*x2, x4, x2*x5*x2*x5, x5^2 ]
[ x4*x5^3, x1*x4, x4*x5^2*x2, x3*x5^2*x2, x2*x5*x2*x5, x5^2 ]
[ x2*x3*x5, x1*x3*x5^2*x2, x3, x4, x2*x5*x2*x5, x5^2 ]
[ x4*x5^3, x1*x4, x4*x5^2*x2, x3*x4*x5^2*x2, x2*x5*x2*x5, x5^2 ]
[ x5^3, x1, x5^2*x2, x3*x5^2*x2, x4, x2*x5*x2*x5 ]
[ x1*x4^2*x1*x5, x4^3, x1*x4^2, x2, x2^2, x4^2 ]
[ x1*x4^2*x1*x5, x4^3, x1*x4^2, x3, x2^2, x4^2 ]
[ x1*x4^2*x1*x5, x4^3, x1*x4^2, x2*x3, x2^2, x4^2 ]
[ x1*x4^2*x1*x5, x4^3, x2, x3, x2^2, x4^2 ]
[ x1*x4^2*x1*x5, x4^3, x1*x3*x4^2, x2, x2^2, x4^2 ]
[ x1*x4^2*x1*x5, x4^3, x1*x2*x4^2, x3, x2^2, x4^2 ]
[ x1*x4^2*x1*x5, x4^3, x1*x3*x4^2, x2*x3, x2^2, x4^2 ]
[ x1*x4^2*x1*x5, x1*x4^2, x2, x3, x2^2, x4^2 ]
[ x1*x4^2*x1*x5, x3*x4^3, x1*x4^2, x2, x2^2, x4^2 ]
[ x1*x4^2*x1*x5, x2^3*x4^3, x1*x4^2, x3, x2^2, x4^2 ]
[ x1*x4^2*x1*x5, x3*x4^3, x1*x4^2, x2*x3, x2^2, x4^2 ]
[ x1*x4^2*x1*x5, x4*x1, x2, x3, x2^2, x4^2 ]
[ x1*x4^2*x1*x5, x3*x4^3, x1*x3*x4^2, x2, x2^2, x4^2 ]
[ x1*x4^2*x1*x5, x2^3*x4^3, x1*x2*x4^2, x3, x2^2, x4^2 ]
[ x1*x4^2*x1*x5, x3*x4^3, x1*x3*x4^2, x2*x3, x2^2, x4^2 ]
[ x4^3, x1*x4^2, x2, x3, x2^2, x4^2 ]
[ x1*x3*x4^2*x1*x5, x4^3, x1*x4^2, x2, x2^2, x4^2 ]
[ x1*x2*x4^2*x1*x5, x4^3, x1*x4^2, x3, x2^2, x4^2 ]
[ x1*x3*x4^2*x1*x5, x4^3, x1*x4^2, x2*x3, x2^2, x4^2 ]
[ x1*x5, x4^3, x2, x3, x2^2, x4^2 ]
[ x1*x3*x4^2*x1*x5, x4^3, x1*x3*x4^2, x2, x2^2, x4^2 ]
[ x1*x2*x4^2*x1*x5, x4^3, x1*x2*x4^2, x3, x2^2, x4^2 ]
[ x1*x3*x4^2*x1*x5, x4^3, x1*x3*x4^2, x2*x3, x2^2, x4^2 ]
[ x4*x5, x1*x4^2, x2, x3, x2^2, x4^2 ]
[ x1*x3*x4^2*x1*x5, x3*x4^3, x1*x4^2, x2, x2^2, x4^2 ]
[ x1*x2*x4^2*x1*x5, x2^3*x4^3, x1*x4^2, x3, x2^2, x4^2 ]
[ x1*x3*x4^2*x1*x5, x3*x4^3, x1*x4^2, x2*x3, x2^2, x4^2 ]
[ x1*x5, x4*x1, x2, x3, x2^2, x4^2 ]
[ x1*x3*x4^2*x1*x5, x3*x4^3, x1*x3*x4^2, x2, x2^2, x4^2 ]
[ x1*x2*x4^2*x1*x5, x2^3*x4^3, x1*x2*x4^2, x3, x2^2, x4^2 ]
[ x1*x3*x4^2*x1*x5, x3*x4^3, x1*x3*x4^2, x2*x3, x2^2, x4^2 ]
[ x1*x4^2*x1*x5, x4^3, x1*x4^2, x2, x3, x2^2 ]
[ x3*x5, x3*x4*x1*x4*x1*x4, x3, x2, x2^2, x1*x4*x1*x4 ]
[ x3*x5, x3*x4*x1*x4*x1*x4, x3, x1, x2^2, x1*x4*x1*x4 ]
[ x3*x5, x3*x4*x1*x4*x1*x4, x3, x2*x1, x2^2, x1*x4*x1*x4 ]
[ x3*x5, x3*x4*x1*x4*x1*x4, x2, x1, x2^2, x1*x4*x1*x4 ]
[ x3*x5, x3*x4*x1*x4*x1*x4, x1*x3, x2, x2^2, x1*x4*x1*x4 ]
[ x3*x5, x3*x4*x1*x4*x1*x4, x2*x3, x1, x2^2, x1*x4*x1*x4 ]
[ x3*x5, x3*x4*x1*x4*x1*x4, x1*x3, x2*x1, x2^2, x1*x4*x1*x4 ]
[ x3*x5, x3, x2, x1, x2^2, x1*x4*x1*x4 ]
[ x3*x5, x1*x3*x4*x1*x4*x1*x4, x3, x2, x2^2, x1*x4*x1*x4 ]
[ x3*x5, x1*x2*x1*x3*x4*x1*x4*x1*x4, x3, x1, x2^2, x1*x4*x1*x4 ]
[ x3*x5, x1*x3*x4*x1*x4*x1*x4, x3, x2*x1, x2^2, x1*x4*x1*x4 ]
[ x3*x5, x4*x1*x4*x1*x4, x2, x1, x2^2, x1*x4*x1*x4 ]
[ x3*x5, x1*x3*x4*x1*x4*x1*x4, x1*x3, x2, x2^2, x1*x4*x1*x4 ]
[ x3*x5, x1*x2*x1*x3*x4*x1*x4*x1*x4, x2*x3, x1, x2^2, x1*x4*x1*x4 ]
[ x3*x5, x1*x3*x4*x1*x4*x1*x4, x1*x3, x2*x1, x2^2, x1*x4*x1*x4 ]
[ x3*x4*x1*x4*x1*x4, x3, x2, x1, x2^2, x1*x4*x1*x4 ]
[ x1*x3*x5, x3*x4*x1*x4*x1*x4, x3, x2, x2^2, x1*x4*x1*x4 ]
[ x2*x3*x5, x3*x4*x1*x4*x1*x4, x3, x1, x2^2, x1*x4*x1*x4 ]
[ x1*x3*x5, x3*x4*x1*x4*x1*x4, x3, x2*x1, x2^2, x1*x4*x1*x4 ]
[ x5, x3*x4*x1*x4*x1*x4, x2, x1, x2^2, x1*x4*x1*x4 ]
[ x1*x3*x5, x3*x4*x1*x4*x1*x4, x1*x3, x2, x2^2, x1*x4*x1*x4 ]
[ x2*x3*x5, x3*x4*x1*x4*x1*x4, x2*x3, x1, x2^2, x1*x4*x1*x4 ]
[ x1*x3*x5, x3*x4*x1*x4*x1*x4, x1*x3, x2*x1, x2^2, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4*x5, x3, x2, x1, x2^2, x1*x4*x1*x4 ]
[ x1*x3*x5, x1*x3*x4*x1*x4*x1*x4, x3, x2, x2^2, x1*x4*x1*x4 ]
[ x2*x3*x5, x1*x2*x1*x3*x4*x1*x4*x1*x4, x3, x1, x2^2, x1*x4*x1*x4 ]
[ x1*x3*x5, x1*x3*x4*x1*x4*x1*x4, x3, x2*x1, x2^2, x1*x4*x1*x4 ]
[ x5, x4*x1*x4*x1*x4, x2, x1, x2^2, x1*x4*x1*x4 ]
[ x1*x3*x5, x1*x3*x4*x1*x4*x1*x4, x1*x3, x2, x2^2, x1*x4*x1*x4 ]
[ x2*x3*x5, x1*x2*x1*x3*x4*x1*x4*x1*x4, x2*x3, x1, x2^2, x1*x4*x1*x4 ]
[ x1*x3*x5, x1*x3*x4*x1*x4*x1*x4, x1*x3, x2*x1, x2^2, x1*x4*x1*x4 ]
[ x3*x5, x3*x4*x1*x4*x1*x4, x3, x2, x1, x2^2 ]
[ x1*x5^3, x2*x4, x3*x1, x1, x1*x3*x1*x3, x5^2 ]
[ x1*x5^3, x2*x4, x3*x1, x2, x1*x3*x1*x3, x5^2 ]
[ x1*x5^3, x2*x4, x3*x1, x1*x2, x1*x3*x1*x3, x5^2 ]
[ x1*x5^3, x2*x4, x1, x2, x1*x3*x1*x3, x5^2 ]
[ x1*x5^3, x2*x4, x2*x3*x1, x1, x1*x3*x1*x3, x5^2 ]
[ x1*x5^3, x2*x4, x3, x2, x1*x3*x1*x3, x5^2 ]
[ x1*x5^3, x2*x4, x2*x3*x1, x1*x2, x1*x3*x1*x3, x5^2 ]
[ x1*x5^3, x3*x1, x1, x2, x1*x3*x1*x3, x5^2 ]
[ x1*x5^3, x4, x3*x1, x1, x1*x3*x1*x3, x5^2 ]
[ x1*x5^3, x1*x2*x4, x3*x1, x2, x1*x3*x1*x3, x5^2 ]
[ x1*x5^3, x4, x3*x1, x1*x2, x1*x3*x1*x3, x5^2 ]
[ x1*x5^3, x2*x3*x1*x4, x1, x2, x1*x3*x1*x3, x5^2 ]
[ x1*x5^3, x4, x2*x3*x1, x1, x1*x3*x1*x3, x5^2 ]
[ x1*x5^3, x1*x2*x4, x3, x2, x1*x3*x1*x3, x5^2 ]
[ x1*x5^3, x4, x2*x3*x1, x1*x2, x1*x3*x1*x3, x5^2 ]
[ x2*x4, x3*x1, x1, x2, x1*x3*x1*x3, x5^2 ]
[ x1*x2*x5^3, x2*x4, x3*x1, x1, x1*x3*x1*x3, x5^2 ]
[ x5^3, x2*x4, x3*x1, x2, x1*x3*x1*x3, x5^2 ]
[ x1*x2*x5^3, x2*x4, x3*x1, x1*x2, x1*x3*x1*x3, x5^2 ]
[ x3*x5^3, x2*x4, x1, x2, x1*x3*x1*x3, x5^2 ]
[ x1*x2*x5^3, x2*x4, x2*x3*x1, x1, x1*x3*x1*x3, x5^2 ]
[ x5^3, x2*x4, x3, x2, x1*x3*x1*x3, x5^2 ]
[ x1*x2*x5^3, x2*x4, x2*x3*x1, x1*x2, x1*x3*x1*x3, x5^2 ]
[ x1*x2*x4*x5^3, x3*x1, x1, x2, x1*x3*x1*x3, x5^2 ]
[ x1*x2*x5^3, x4, x3*x1, x1, x1*x3*x1*x3, x5^2 ]
[ x5^3, x1*x2*x4, x3*x1, x2, x1*x3*x1*x3, x5^2 ]
[ x1*x2*x5^3, x4, x3*x1, x1*x2, x1*x3*x1*x3, x5^2 ]
[ x3*x5^3, x2*x3*x1*x4, x1, x2, x1*x3*x1*x3, x5^2 ]
[ x1*x2*x5^3, x4, x2*x3*x1, x1, x1*x3*x1*x3, x5^2 ]
[ x5^3, x1*x2*x4, x3, x2, x1*x3*x1*x3, x5^2 ]
[ x1*x2*x5^3, x4, x2*x3*x1, x1*x2, x1*x3*x1*x3, x5^2 ]
[ x1*x5^3, x2*x4, x3*x1, x1, x2, x1*x3*x1*x3 ]
[ x5^3, x4, x3*x5^2*x1, x5^2*x1, x1*x3*x1*x3, x5^2 ]
[ x5^3, x4, x3*x5^2*x1, x2*x5^2*x1, x1*x3*x1*x3, x5^2 ]
[ x5^3, x4, x3*x5^2*x1, x2, x1*x3*x1*x3, x5^2 ]
[ x5^3, x4, x5^2*x1, x2*x5^2*x1, x1*x3*x1*x3, x5^2 ]
[ x5^3, x4, x1*x2*x3*x1, x5^2*x1, x1*x3*x1*x3, x5^2 ]
[ x5^3, x4, x3, x2*x5^2*x1, x1*x3*x1*x3, x5^2 ]
[ x5^3, x4, x1*x2*x3*x1, x2, x1*x3*x1*x3, x5^2 ]
[ x5^3, x3*x5^2*x1, x5^2*x1, x2*x5^2*x1, x1*x3*x1*x3, x5^2 ]
[ x5^3, x2*x4*x5^2*x1, x3*x5^2*x1, x5^2*x1, x1*x3*x1*x3, x5^2 ]
[ x5^3, x4*x5^2*x1, x3*x5^2*x1, x2*x5^2*x1, x1*x3*x1*x3, x5^2 ]
[ x5^3, x2*x4*x5^2*x1, x3*x5^2*x1, x2, x1*x3*x1*x3, x5^2 ]
[ x5^3, x3*x4*x5^2*x1, x5^2*x1, x2*x5^2*x1, x1*x3*x1*x3, x5^2 ]
[ x5^3, x2*x4*x5^2*x1, x1*x2*x3*x1, x5^2*x1, x1*x3*x1*x3, x5^2 ]
[ x5^3, x4*x5^2*x1, x3, x2*x5^2*x1, x1*x3*x1*x3, x5^2 ]
[ x5^3, x2*x4*x5^2*x1, x1*x2*x3*x1, x2, x1*x3*x1*x3, x5^2 ]
[ x4, x3*x5^2*x1, x5^2*x1, x2*x5^2*x1, x1*x3*x1*x3, x5^2 ]
[ x1*x2*x5, x4, x3*x5^2*x1, x5^2*x1, x1*x3*x1*x3, x5^2 ]
[ x1*x5, x4, x3*x5^2*x1, x2*x5^2*x1, x1*x3*x1*x3, x5^2 ]
[ x1*x2*x5, x4, x3*x5^2*x1, x2, x1*x3*x1*x3, x5^2 ]
[ x1*x3*x5, x4, x5^2*x1, x2*x5^2*x1, x1*x3*x1*x3, x5^2 ]
[ x1*x2*x5, x4, x1*x2*x3*x1, x5^2*x1, x1*x3*x1*x3, x5^2 ]
[ x1*x5, x4, x3, x2*x5^2*x1, x1*x3*x1*x3, x5^2 ]
[ x1*x2*x5, x4, x1*x2*x3*x1, x2, x1*x3*x1*x3, x5^2 ]
[ x4*x5^3, x3*x5^2*x1, x5^2*x1, x2*x5^2*x1, x1*x3*x1*x3, x5^2 ]
[ x1*x2*x5, x2*x4*x5^2*x1, x3*x5^2*x1, x5^2*x1, x1*x3*x1*x3, x5^2 ]
[ x1*x5, x4*x5^2*x1, x3*x5^2*x1, x2*x5^2*x1, x1*x3*x1*x3, x5^2 ]
[ x1*x2*x5, x2*x4*x5^2*x1, x3*x5^2*x1, x2, x1*x3*x1*x3, x5^2 ]
[ x1*x3*x5, x3*x4*x5^2*x1, x5^2*x1, x2*x5^2*x1, x1*x3*x1*x3, x5^2 ]
[ x1*x2*x5, x2*x4*x5^2*x1, x1*x2*x3*x1, x5^2*x1, x1*x3*x1*x3, x5^2 ]
[ x1*x5, x4*x5^2*x1, x3, x2*x5^2*x1, x1*x3*x1*x3, x5^2 ]
[ x1*x2*x5, x2*x4*x5^2*x1, x1*x2*x3*x1, x2, x1*x3*x1*x3, x5^2 ]
[ x5^3, x4, x3*x5^2*x1, x5^2*x1, x2*x5^2*x1, x1*x3*x1*x3 ]
[ x2*x4^2*x2*x5, x4^3, x1, x2*x4^2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^2*x2*x5, x4^3, x1, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^2*x2*x5, x4^3, x1, x2*x3*x4^2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^2*x2*x5, x4^3, x2*x4^2, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^2*x2*x5, x4^3, x1*x3, x2*x4^2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^2*x2*x5, x4^3, x1*x2*x4^2, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^2*x2*x5, x4^3, x1*x3, x2*x3*x4^2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^2*x2*x5, x1, x2*x4^2, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^2*x2*x5, x4*x3*x4^2, x1, x2*x4^2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^2*x2*x5, x4*x2, x1, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^2*x2*x5, x4*x3*x4^2, x1, x2*x3*x4^2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^2*x2*x5, x1*x4^3, x2*x4^2, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^2*x2*x5, x4*x3*x4^2, x1*x3, x2*x4^2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^2*x2*x5, x4*x2, x1*x2*x4^2, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^2*x2*x5, x4*x3*x4^2, x1*x3, x2*x3*x4^2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4^3, x1, x2*x4^2, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x3*x4^2*x2*x5, x4^3, x1, x2*x4^2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x5, x4^3, x1, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x3*x4^2*x2*x5, x4^3, x1, x2*x3*x4^2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1*x2*x4^2*x2*x5, x4^3, x2*x4^2, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x3*x4^2*x2*x5, x4^3, x1*x3, x2*x4^2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x5, x4^3, x1*x2*x4^2, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x3*x4^2*x2*x5, x4^3, x1*x3, x2*x3*x4^2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4*x5, x1, x2*x4^2, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x3*x4^2*x2*x5, x4*x3*x4^2, x1, x2*x4^2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x5, x4*x2, x1, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x3*x4^2*x2*x5, x4*x3*x4^2, x1, x2*x3*x4^2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1*x2*x4^2*x2*x5, x1*x4^3, x2*x4^2, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x3*x4^2*x2*x5, x4*x3*x4^2, x1*x3, x2*x4^2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x5, x4*x2, x1*x2*x4^2, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x3*x4^2*x2*x5, x4*x3*x4^2, x1*x3, x2*x3*x4^2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^2*x2*x5, x4^3, x1, x2*x4^2, x3, x2*x3*x4*x2*x3*x4 ]
[ x5^3, x1*x5^2, x2, x3, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x5^3, x1*x5^2, x2, x1*x4*x5^2, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x5^3, x1*x5^2, x2, x1*x3*x4*x5^2, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x5^3, x1*x5^2, x3, x1*x4*x5^2, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x5^3, x1*x5^2, x1*x2*x4*x5^2, x3, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x5^3, x1*x5^2, x2*x3, x1*x4*x5^2, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x5^3, x1*x5^2, x1*x2*x4*x5^2, x1*x3*x4*x5^2, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x5^3, x2, x3, x1*x4*x5^2, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x5^3, x4, x2, x3, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x5^3, x1*x3*x5^2, x2, x1*x4*x5^2, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x5^3, x4, x2, x1*x3*x4*x5^2, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x5^3, x1*x2*x5^2, x3, x1*x4*x5^2, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x5^3, x4, x1*x2*x4*x5^2, x3, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x5^3, x1*x3*x5^2, x2*x3, x1*x4*x5^2, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x5^3, x4, x1*x2*x4*x5^2, x1*x3*x4*x5^2, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x5^2, x2, x3, x1*x4*x5^2, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x4*x5*x1, x1*x5^2, x2, x3, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x5*x3*x5^2, x1*x5^2, x2, x1*x4*x5^2, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x4*x5*x1, x1*x5^2, x2, x1*x3*x4*x5^2, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x2*x5^3, x1*x5^2, x3, x1*x4*x5^2, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x4*x5*x1, x1*x5^2, x1*x2*x4*x5^2, x3, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x5*x3*x5^2, x1*x5^2, x2*x3, x1*x4*x5^2, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x4*x5*x1, x1*x5^2, x1*x2*x4*x5^2, x1*x3*x4*x5^2, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x5*x1, x2, x3, x1*x4*x5^2, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x4*x5*x1, x4, x2, x3, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x5*x3*x5^2, x1*x3*x5^2, x2, x1*x4*x5^2, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x4*x5*x1, x4, x2, x1*x3*x4*x5^2, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x2*x5^3, x1*x2*x5^2, x3, x1*x4*x5^2, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x4*x5*x1, x4, x1*x2*x4*x5^2, x3, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x5*x3*x5^2, x1*x3*x5^2, x2*x3, x1*x4*x5^2, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x4*x5*x1, x4, x1*x2*x4*x5^2, x1*x3*x4*x5^2, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x5^3, x1*x5^2, x2, x3, x1*x4*x5^2, x1*x3*x5*x1*x3*x5 ]
[ x2*x4^2*x2*x5, x4^3, x3, x2*x4^2, x1^2, x4^2 ]
[ x2*x4^2*x2*x5, x4^3, x3, x1, x1^2, x4^2 ]
[ x2*x4^2*x2*x5, x4^3, x3, x1^3*x2*x4^2, x1^2, x4^2 ]
[ x2*x4^2*x2*x5, x4^3, x2*x4^2, x1, x1^2, x4^2 ]
[ x2*x4^2*x2*x5, x4^3, x1*x3, x2*x4^2, x1^2, x4^2 ]
[ x2*x4^2*x2*x5, x4^3, x2*x3*x4^2, x1, x1^2, x4^2 ]
[ x2*x4^2*x2*x5, x4^3, x1*x3, x1^3*x2*x4^2, x1^2, x4^2 ]
[ x2*x4^2*x2*x5, x3, x2*x4^2, x1, x1^2, x4^2 ]
[ x2*x4^2*x2*x5, x1^3*x4^3, x3, x2*x4^2, x1^2, x4^2 ]
[ x2*x4^2*x2*x5, x4*x2, x3, x1, x1^2, x4^2 ]
[ x2*x4^2*x2*x5, x1^3*x4^3, x3, x1^3*x2*x4^2, x1^2, x4^2 ]
[ x2*x4^2*x2*x5, x3*x4^3, x2*x4^2, x1, x1^2, x4^2 ]
[ x2*x4^2*x2*x5, x1^3*x4^3, x1*x3, x2*x4^2, x1^2, x4^2 ]
[ x2*x4^2*x2*x5, x4*x2, x2*x3*x4^2, x1, x1^2, x4^2 ]
[ x2*x4^2*x2*x5, x1^3*x4^3, x1*x3, x1^3*x2*x4^2, x1^2, x4^2 ]
[ x4^3, x3, x2*x4^2, x1, x1^2, x4^2 ]
[ x1^3*x2*x4^2*x2*x5, x4^3, x3, x2*x4^2, x1^2, x4^2 ]
[ x2*x5, x4^3, x3, x1, x1^2, x4^2 ]
[ x1^3*x2*x4^2*x2*x5, x4^3, x3, x1^3*x2*x4^2, x1^2, x4^2 ]
[ x2*x3*x4^2*x2*x5, x4^3, x2*x4^2, x1, x1^2, x4^2 ]
[ x1^3*x2*x4^2*x2*x5, x4^3, x1*x3, x2*x4^2, x1^2, x4^2 ]
[ x2*x5, x4^3, x2*x3*x4^2, x1, x1^2, x4^2 ]
[ x1^3*x2*x4^2*x2*x5, x4^3, x1*x3, x1^3*x2*x4^2, x1^2, x4^2 ]
[ x4*x5, x3, x2*x4^2, x1, x1^2, x4^2 ]
[ x1^3*x2*x4^2*x2*x5, x1^3*x4^3, x3, x2*x4^2, x1^2, x4^2 ]
[ x2*x5, x4*x2, x3, x1, x1^2, x4^2 ]
[ x1^3*x2*x4^2*x2*x5, x1^3*x4^3, x3, x1^3*x2*x4^2, x1^2, x4^2 ]
[ x2*x3*x4^2*x2*x5, x3*x4^3, x2*x4^2, x1, x1^2, x4^2 ]
[ x1^3*x2*x4^2*x2*x5, x1^3*x4^3, x1*x3, x2*x4^2, x1^2, x4^2 ]
[ x2*x5, x4*x2, x2*x3*x4^2, x1, x1^2, x4^2 ]
[ x1^3*x2*x4^2*x2*x5, x1^3*x4^3, x1*x3, x1^3*x2*x4^2, x1^2, x4^2 ]
[ x2*x4^2*x2*x5, x4^3, x3, x2*x4^2, x1, x1^2 ]
[ x2^3, x2^4, x2^6 ]
[ x1, x2^4, x2^6 ]
[ x1*x2^3, x2^4, x2^6 ]
[ x2^3, x1, x2^6 ]
[ x2^3, x2^4, x2^6 ]
[ x1, x2^4, x2^6 ]
[ x1*x2^3, x2^4, x2^6 ]
[ x2^3, x1, x2^6 ]
[ x1*x2^9, x2^8, x2^6 ]
[ x1, x2^8, x2^6 ]
[ x2^9, x2^8, x2^6 ]
[ x1*x2^9, x1, x2^6 ]
[ x1*x2^3, x2^4, x2^6 ]
[ x1, x2^4, x2^6 ]
[ x2^3, x2^4, x2^6 ]
[ x1*x2^3, x1, x2^6 ]
[ x2^9, x2^8, x2^6 ]
[ x1, x2^8, x2^6 ]
[ x1*x2^9, x2^8, x2^6 ]
[ x2^9, x1, x2^6 ]
[ x1*x2^3, x2^4, x2^6 ]
[ x1, x2^4, x2^6 ]
[ x2^3, x2^4, x2^6 ]
[ x1*x2^3, x1, x2^6 ]
[ x2^3, x2^4, x1^2 ]
[ x1, x2^4, x1^2 ]
[ x1*x2^3, x2^4, x1^2 ]
[ x2^3, x1, x1^2 ]
[ x2^3, x2^4, x2^6 ]
[ x1, x2^4, x2^6 ]
[ x1*x2^3, x2^4, x2^6 ]
[ x2^3, x1, x2^6 ]
[ x2^3, x2^2, x1*x2*x1*x2^5 ]
[ x1, x2^2, x1*x2*x1*x2^5 ]
[ x2*x1*x2^2, x2^2, x1*x2*x1*x2^5 ]
[ x2^3, x1, x1*x2*x1*x2^5 ]
[ x2^3, x2^4, x1*x2*x1*x2^5 ]
[ x1, x2^4, x1*x2*x1*x2^5 ]
[ x2*x1*x2^2, x2^4, x1*x2*x1*x2^5 ]
[ x2^3, x1, x1*x2*x1*x2^5 ]
[ x2^3, x2^2, x1*x2*x1*x2^5 ]
[ x2*x1*x2^5, x2^2, x1*x2*x1*x2^5 ]
[ x1*x2^3, x2^2, x1*x2*x1*x2^5 ]
[ x2^3, x2*x1*x2^5, x1*x2*x1*x2^5 ]
[ x2*x1*x2^2, x1*x2*x1*x2, x2^6 ]
[ x1, x1*x2*x1*x2, x2^6 ]
[ x2^3, x1*x2*x1*x2, x2^6 ]
[ x2*x1*x2^2, x1, x2^6 ]
[ x2^3, x2^2, x1^2 ]
[ x1, x2^2, x1^2 ]
[ x1^3*x2^3, x2^2, x1^2 ]
[ x2^3, x1, x1^2 ]
[ x2^3, x2^2, x1*x2*x1*x2^5 ]
[ x1, x2^2, x1*x2*x1*x2^5 ]
[ x2*x1*x2^2, x2^2, x1*x2*x1*x2^5 ]
[ x2^3, x1, x1*x2*x1*x2^5 ]
[ x2^3, x2^4, x1*x2*x1*x2^5 ]
[ x1, x2^4, x1*x2*x1*x2^5 ]
[ x2*x1*x2^2, x2^4, x1*x2*x1*x2^5 ]
[ x2^3, x1, x1*x2*x1*x2^5 ]
[ x2*x1*x2^2, x1*x2*x1*x2, x2^6 ]
[ x1, x1*x2*x1*x2, x2^6 ]
[ x2^3, x1*x2*x1*x2, x2^6 ]
[ x2*x1*x2^2, x1, x2^6 ]
[ x2^3, x2^2, x1*x2*x1*x2^5 ]
[ x2*x1*x2^5, x2^2, x1*x2*x1*x2^5 ]
[ x1*x2^3, x2^2, x1*x2*x1*x2^5 ]
[ x2^3, x2*x1*x2^5, x1*x2*x1*x2^5 ]
[ x2^3, x2^2, x1*x2*x1*x2^5 ]
[ x2*x1*x2^5, x2^2, x1*x2*x1*x2^5 ]
[ x1*x2^3, x2^2, x1*x2*x1*x2^5 ]
[ x2^3, x2*x1*x2^5, x1*x2*x1*x2^5 ]
[ x2^3, x2^2, x1*x2*x1*x2^5 ]
[ x2*x1*x2^5, x2^2, x1*x2*x1*x2^5 ]
[ x1*x2^3, x2^2, x1*x2*x1*x2^5 ]
[ x2^3, x2*x1*x2^5, x1*x2*x1*x2^5 ]
[ x2^3, x2^2, x1^2 ]
[ x1, x2^2, x1^2 ]
[ x1^3*x2^3, x2^2, x1^2 ]
[ x2^3, x1, x1^2 ]
[ x2^3, x2^2, x1^2 ]
[ x1, x2^2, x1^2 ]
[ x1^3*x2^3, x2^2, x1^2 ]
[ x2^3, x1, x1^2 ]
[ x2^3, x2^2, x1^2 ]
[ x1, x2^2, x1^2 ]
[ x1^3*x2^3, x2^2, x1^2 ]
[ x2^3, x1, x1^2 ]
[ x2^3, x2^4, x2^6 ]
[ x1, x2^4, x2^6 ]
[ x1*x2^3, x2^4, x2^6 ]
[ x2^3, x1, x2^6 ]
[ x2^9, x2^8, x2^6 ]
[ x1, x2^8, x2^6 ]
[ x1*x2^9, x2^8, x2^6 ]
[ x2^9, x1, x2^6 ]
[ x2^3, x2^4, x1^2 ]
[ x1, x2^4, x1^2 ]
[ x1*x2^3, x2^4, x1^2 ]
[ x2^3, x1, x1^2 ]
[ x2^3, x2^4, x2^6 ]
[ x1, x2^4, x2^6 ]
[ x1*x2^3, x2^4, x2^6 ]
[ x2^3, x1, x2^6 ]
[ x2^3, x1^2, x2^2 ]
[ x1*x2^2, x1^2, x2^2 ]
[ x2*x1, x1^2, x2^2 ]
[ x2^3, x1*x2^2, x1^2 ]
[ x1*x2*x1*x2^4, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x2^4, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x2, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x2^4, x1*x2^4, x1*x2*x1*x2 ]
[ x1*x2*x1*x2^4, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x2*x1*x2^3, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x2*x1, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x2^4, x2*x1*x2^3, x1*x2*x1*x2 ]
[ x1*x2*x1*x2^4, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x2*x1*x2^3, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x2*x1, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x2^4, x2*x1*x2^3, x1*x2*x1*x2 ]
[ x1*x2*x1*x2^4, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x2^4, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x2, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x2^4, x1*x2^4, x1*x2*x1*x2 ]
[ x2^3, x1^2, x2^2 ]
[ x2^2*x1, x1^2, x2^2 ]
[ x1*x2, x1^2, x2^2 ]
[ x2^3, x2^2*x1, x1^2 ]
[ x2^3, x1^2, x2^2 ]
[ x1*x2^2, x1^2, x2^2 ]
[ x2*x1, x1^2, x2^2 ]
[ x2^3, x1*x2^2, x1^2 ]
[ x2^3, x1^2, x2^2 ]
[ x1*x2^2, x1^2, x2^2 ]
[ x2*x1, x1^2, x2^2 ]
[ x2^3, x1*x2^2, x1^2 ]
[ x2^3, x1^2, x2^2 ]
[ x2^2*x1, x1^2, x2^2 ]
[ x1*x2, x1^2, x2^2 ]
[ x2^3, x2^2*x1, x1^2 ]
[ x1*x2*x1*x2^4, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x2*x1*x2^3, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x2*x1, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x2^4, x2*x1*x2^3, x1*x2*x1*x2 ]
[ x1*x2*x1*x2^4, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x2^4, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x2, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x2^4, x1*x2^4, x1*x2*x1*x2 ]
[ x2*x1*x2*x1*x2, x1^2, x1*x2*x1*x2 ]
[ x1, x1^2, x1*x2*x1*x2 ]
[ x1^3*x2*x1*x2*x1*x2, x1^2, x1*x2*x1*x2 ]
[ x2*x1*x2*x1*x2, x1, x1^2 ]
[ x2^3, x1*x2*x1*x2, x2^2 ]
[ x2^3*x1*x2, x1*x2*x1*x2, x2^2 ]
[ x1*x2, x1*x2*x1*x2, x2^2 ]
[ x2^3, x2^3*x1*x2, x1*x2*x1*x2 ]
[ x1*x2^3*x1, x2^6, x1*x2^4*x1 ]
[ x1, x2^6, x1*x2^4*x1 ]
[ x1*x2^3, x2^6, x1*x2^4*x1 ]
[ x1*x2^3*x1, x1, x2^6 ]
[ x1*x2*x1*x2*x1*x2*x1, x1*x2*x1*x2*x1*x2*x1*x2*x1*x2*x1*x2,
x2*x1*x2*x1*x2*x1*x2*x1 ]
[ x1, x1*x2*x1*x2*x1*x2*x1*x2*x1*x2*x1*x2, x2*x1*x2*x1*x2*x1*x2*x1 ]
[ x1*x2*x1*x2*x1*x2, x1*x2*x1*x2*x1*x2*x1*x2*x1*x2*x1*x2,
x2*x1*x2*x1*x2*x1*x2*x1 ]
[ x1*x2*x1*x2*x1*x2*x1, x1, x1*x2*x1*x2*x1*x2*x1*x2*x1*x2*x1*x2 ]
[ x1*x2^3*x1, x2^6, x1*x2^4*x1 ]
[ x1*x2^4, x2^6, x1*x2^4*x1 ]
[ x2^5*x1, x2^6, x1*x2^4*x1 ]
[ x1*x2^3*x1, x1*x2^4, x2^6 ]
[ x1*x2^3*x1, x2^6, x1*x2^4*x1 ]
[ x2^4*x1, x2^6, x1*x2^4*x1 ]
[ x2*x1, x2^6, x1*x2^4*x1 ]
[ x1*x2^3*x1, x2^4*x1, x2^6 ]
[ x1*x2^3*x1, x2^6, x1*x2^4*x1 ]
[ x2^4*x1, x2^6, x1*x2^4*x1 ]
[ x2*x1, x2^6, x1*x2^4*x1 ]
[ x1*x2^3*x1, x2^4*x1, x2^6 ]
[ x1*x2^3*x1, x2^6, x1*x2^4*x1 ]
[ x1*x2^4, x2^6, x1*x2^4*x1 ]
[ x2^5*x1, x2^6, x1*x2^4*x1 ]
[ x1*x2^3*x1, x1*x2^4, x2^6 ]
[ x2, x1^2, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x1, x1^2, x1*x2*x1*x2 ]
[ x1^3*x2*x1*x2*x1*x2, x1^2, x1*x2*x1*x2 ]
[ x2, x1*x2*x1*x2*x1, x1^2 ]
[ x2*x1*x2*x1*x2, x2^2, x1*x2*x1*x2 ]
[ x1, x2^2, x1*x2*x1*x2 ]
[ x2*x1*x2*x1*x2*x1, x2^2, x1*x2*x1*x2 ]
[ x2*x1*x2*x1*x2, x1, x2^2 ]
[ x2*x1*x2*x1*x2, x2^2, x1*x2*x1*x2 ]
[ x1, x2^2, x1*x2*x1*x2 ]
[ x2*x1*x2*x1*x2*x1, x2^2, x1*x2*x1*x2 ]
[ x2*x1*x2*x1*x2, x1, x2^2 ]
[ x2, x1^2, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x1, x1^2, x1*x2*x1*x2 ]
[ x1^3*x2*x1*x2*x1*x2, x1^2, x1*x2*x1*x2 ]
[ x2, x1*x2*x1*x2*x1, x1^2 ]
[ x2*x1*x2*x1*x2, x2^2, x1*x2*x1*x2 ]
[ x1, x2^2, x1*x2*x1*x2 ]
[ x2*x1*x2*x1*x2*x1, x2^2, x1*x2*x1*x2 ]
[ x2*x1*x2*x1*x2, x1, x2^2 ]
[ x2^3, x1*x2*x1*x2, x2^2 ]
[ x2^2*x1, x1*x2*x1*x2, x2^2 ]
[ x2*x1*x2^2, x1*x2*x1*x2, x2^2 ]
[ x2^3, x2^2*x1, x1*x2*x1*x2 ]
[ x2^3*x1, x1*x2*x1*x2, x2^2 ]
[ x1, x1*x2*x1*x2, x2^2 ]
[ x2^3, x1*x2*x1*x2, x2^2 ]
[ x2^3*x1, x1, x1*x2*x1*x2 ]
[ x2*x1*x2*x1*x2, x1^2, x1*x2*x1*x2 ]
[ x1, x1^2, x1*x2*x1*x2 ]
[ x1^3*x2*x1*x2*x1*x2, x1^2, x1*x2*x1*x2 ]
[ x2*x1*x2*x1*x2, x1, x1^2 ]
[ x1^3*x2^3, x1^2, x2^2 ]
[ x1, x1^2, x2^2 ]
[ x1^2*x2^3, x1^2, x2^2 ]
[ x1^3*x2^3, x1, x1^2 ]
[ x1*x2^3*x1, x1*x2*x1*x2, x2^2 ]
[ x1, x1*x2*x1*x2, x2^2 ]
[ x1*x2^3, x1*x2*x1*x2, x2^2 ]
[ x1*x2^3*x1, x1, x1*x2*x1*x2 ]
[ x1*x2^3, x2^6, x1*x2^4*x1 ]
[ x1, x2^6, x1*x2^4*x1 ]
[ x1*x2^3*x1, x2^6, x1*x2^4*x1 ]
[ x1*x2^3, x1, x2^6 ]
[ x1*x2^3*x1, x2^6, x1*x2^4*x1 ]
[ x1*x2^4, x2^6, x1*x2^4*x1 ]
[ x2^5*x1, x2^6, x1*x2^4*x1 ]
[ x1*x2^3*x1, x1*x2^4, x2^6 ]
[ x1*x2*x1*x2^4, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x2^4, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x2, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x2^4, x1*x2^4, x1*x2*x1*x2 ]
[ x2*x1*x2*x1*x2, x1^2, x1^3*x2*x1*x2 ]
[ x1, x1^2, x1^3*x2*x1*x2 ]
[ x1*x2*x1*x2*x1*x2, x1^2, x1^3*x2*x1*x2 ]
[ x2*x1*x2*x1*x2, x1, x1^2 ]
[ x2*x1*x2*x1*x2^3, x2^2, x1*x2*x1*x2^3 ]
[ x1, x2^2, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x2*x1*x2^3, x2^2, x1*x2*x1*x2^3 ]
[ x2*x1*x2*x1*x2^3, x1, x2^2 ]
[ x2, x1^2, x1^3*x2*x1*x2 ]
[ x1^3*x2*x1*x2*x1, x1^2, x1^3*x2*x1*x2 ]
[ x1^3*x2*x1*x2*x1*x2, x1^2, x1^3*x2*x1*x2 ]
[ x2, x1^3*x2*x1*x2*x1, x1^2 ]
[ x2^3, x1^2, x2^2 ]
[ x2^2*x1, x1^2, x2^2 ]
[ x1*x2, x1^2, x2^2 ]
[ x2^3, x2^2*x1, x1^2 ]
[ x1*x2^3, x1^2, x2^2 ]
[ x1, x1^2, x2^2 ]
[ x1^2*x2^3, x1^2, x2^2 ]
[ x1*x2^3, x1, x1^2 ]
[ x1*x2*x1*x2^4, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x2^4, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x2, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x2^4, x1*x2^4, x1*x2*x1*x2 ]
[ x1*x2*x1*x2^4, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x2*x1*x2^3, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x2*x1, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x2^4, x2*x1*x2^3, x1*x2*x1*x2 ]
[ x1*x5^2*x1*x6, x5^3, x1*x5^2, x2, x3, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x5^2*x1*x6, x5^3, x1*x5^2, x2, x2*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x5^2*x1*x6, x5^3, x1*x5^2, x2, x2*x3*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x5^2*x1*x6, x5^3, x1*x5^2, x3, x2*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x5^2*x1*x6, x5^3, x1*x5^2, x4, x3, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x5^2*x1*x6, x5^3, x1*x5^2, x2*x3, x2*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x5^2*x1*x6, x5^3, x1*x5^2, x4, x2*x3*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x5^2*x1*x6, x5^3, x2, x3, x2*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x5^2*x1*x6, x5^3, x1*x2*x4*x5^2, x2, x3, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x5^2*x1*x6, x5^3, x1*x3*x5^2, x2, x2*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x5^2*x1*x6, x5^3, x1*x2*x4*x5^2, x2, x2*x3*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x5^2*x1*x6, x5^3, x1*x2*x5^2, x3, x2*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x5^2*x1*x6, x5^3, x1*x2*x4*x5^2, x4, x3, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x5^2*x1*x6, x5^3, x1*x3*x5^2, x2*x3, x2*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x5^2*x1*x6, x5^3, x1*x2*x4*x5^2, x4, x2*x3*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x5^2*x1*x6, x1*x5^2, x2, x3, x2*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x5^2*x1*x6, x2*x4*x5^3, x1*x5^2, x2, x3, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x5^2*x1*x6, x5*x3*x5^2, x1*x5^2, x2, x2*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x5^2*x1*x6, x2*x4*x5^3, x1*x5^2, x2, x2*x3*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x5^2*x1*x6, x2*x5^3, x1*x5^2, x3, x2*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x5^2*x1*x6, x2*x4*x5^3, x1*x5^2, x4, x3, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x5^2*x1*x6, x5*x3*x5^2, x1*x5^2, x2*x3, x2*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x5^2*x1*x6, x2*x4*x5^3, x1*x5^2, x4, x2*x3*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x5^2*x1*x6, x5*x1, x2, x3, x2*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x5^2*x1*x6, x2*x4*x5^3, x1*x2*x4*x5^2, x2, x3, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x5^2*x1*x6, x5*x3*x5^2, x1*x3*x5^2, x2, x2*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x5^2*x1*x6, x2*x4*x5^3, x1*x2*x4*x5^2, x2, x2*x3*x4, x1*x3*x5*x1*x3*x5,
x5^2 ]
[ x1*x5^2*x1*x6, x2*x5^3, x1*x2*x5^2, x3, x2*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x5^2*x1*x6, x2*x4*x5^3, x1*x2*x4*x5^2, x4, x3, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x5^2*x1*x6, x5*x3*x5^2, x1*x3*x5^2, x2*x3, x2*x4, x1*x3*x5*x1*x3*x5,
x5^2 ]
[ x1*x5^2*x1*x6, x2*x4*x5^3, x1*x2*x4*x5^2, x4, x2*x3*x4, x1*x3*x5*x1*x3*x5,
x5^2 ]
[ x5^3, x1*x5^2, x2, x3, x2*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x2*x4*x5^2*x1*x6, x5^3, x1*x5^2, x2, x3, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x3*x5^2*x1*x6, x5^3, x1*x5^2, x2, x2*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x2*x4*x5^2*x1*x6, x5^3, x1*x5^2, x2, x2*x3*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x2*x5^2*x1*x6, x5^3, x1*x5^2, x3, x2*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x2*x4*x5^2*x1*x6, x5^3, x1*x5^2, x4, x3, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x3*x5^2*x1*x6, x5^3, x1*x5^2, x2*x3, x2*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x2*x4*x5^2*x1*x6, x5^3, x1*x5^2, x4, x2*x3*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x6, x5^3, x2, x3, x2*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x2*x4*x5^2*x1*x6, x5^3, x1*x2*x4*x5^2, x2, x3, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x3*x5^2*x1*x6, x5^3, x1*x3*x5^2, x2, x2*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x2*x4*x5^2*x1*x6, x5^3, x1*x2*x4*x5^2, x2, x2*x3*x4, x1*x3*x5*x1*x3*x5,
x5^2 ]
[ x1*x2*x5^2*x1*x6, x5^3, x1*x2*x5^2, x3, x2*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x2*x4*x5^2*x1*x6, x5^3, x1*x2*x4*x5^2, x4, x3, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x3*x5^2*x1*x6, x5^3, x1*x3*x5^2, x2*x3, x2*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x2*x4*x5^2*x1*x6, x5^3, x1*x2*x4*x5^2, x4, x2*x3*x4, x1*x3*x5*x1*x3*x5,
x5^2 ]
[ x5*x6, x1*x5^2, x2, x3, x2*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x2*x4*x5^2*x1*x6, x2*x4*x5^3, x1*x5^2, x2, x3, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x3*x5^2*x1*x6, x5*x3*x5^2, x1*x5^2, x2, x2*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x2*x4*x5^2*x1*x6, x2*x4*x5^3, x1*x5^2, x2, x2*x3*x4, x1*x3*x5*x1*x3*x5,
x5^2 ]
[ x1*x2*x5^2*x1*x6, x2*x5^3, x1*x5^2, x3, x2*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x2*x4*x5^2*x1*x6, x2*x4*x5^3, x1*x5^2, x4, x3, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x3*x5^2*x1*x6, x5*x3*x5^2, x1*x5^2, x2*x3, x2*x4, x1*x3*x5*x1*x3*x5,
x5^2 ]
[ x1*x2*x4*x5^2*x1*x6, x2*x4*x5^3, x1*x5^2, x4, x2*x3*x4, x1*x3*x5*x1*x3*x5,
x5^2 ]
[ x1*x6, x5*x1, x2, x3, x2*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x2*x4*x5^2*x1*x6, x2*x4*x5^3, x1*x2*x4*x5^2, x2, x3, x1*x3*x5*x1*x3*x5,
x5^2 ]
[ x1*x3*x5^2*x1*x6, x5*x3*x5^2, x1*x3*x5^2, x2, x2*x4, x1*x3*x5*x1*x3*x5,
x5^2 ]
[ x1*x2*x4*x5^2*x1*x6, x2*x4*x5^3, x1*x2*x4*x5^2, x2, x2*x3*x4,
x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x2*x5^2*x1*x6, x2*x5^3, x1*x2*x5^2, x3, x2*x4, x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x2*x4*x5^2*x1*x6, x2*x4*x5^3, x1*x2*x4*x5^2, x4, x3, x1*x3*x5*x1*x3*x5,
x5^2 ]
[ x1*x3*x5^2*x1*x6, x5*x3*x5^2, x1*x3*x5^2, x2*x3, x2*x4, x1*x3*x5*x1*x3*x5,
x5^2 ]
[ x1*x2*x4*x5^2*x1*x6, x2*x4*x5^3, x1*x2*x4*x5^2, x4, x2*x3*x4,
x1*x3*x5*x1*x3*x5, x5^2 ]
[ x1*x5^2*x1*x6, x5^3, x1*x5^2, x2, x3, x2*x4, x1*x3*x5*x1*x3*x5 ]
[ x3^3, x1*x2, x3^4, x3^6 ]
[ x3^3, x1, x3^4, x3^6 ]
[ x3^3, x2, x3^4, x3^6 ]
[ x1*x2, x1, x3^4, x3^6 ]
[ x1*x3^3, x1*x2, x3^4, x3^6 ]
[ x1*x2*x3^3, x1, x3^4, x3^6 ]
[ x1*x3^3, x2, x3^4, x3^6 ]
[ x3^3, x1*x2, x1, x3^6 ]
[ x3^3, x1*x2, x3^2, x2^2 ]
[ x3^3, x1, x3^2, x2^2 ]
[ x3^3, x2, x3^2, x2^2 ]
[ x1*x2, x1, x3^2, x2^2 ]
[ x1*x3^3, x1*x2, x3^2, x2^2 ]
[ x1*x2*x3^3, x1, x3^2, x2^2 ]
[ x1*x3^3, x2, x3^2, x2^2 ]
[ x3^3, x1*x2, x1, x2^2 ]
[ x3^3, x2, x3^4, x1^2 ]
[ x3^3, x1, x3^4, x1^2 ]
[ x3^3, x1*x2, x3^4, x1^2 ]
[ x2, x1, x3^4, x1^2 ]
[ x1*x3^3, x2, x3^4, x1^2 ]
[ x2*x3^3, x1, x3^4, x1^2 ]
[ x1*x3^3, x1*x2, x3^4, x1^2 ]
[ x3^3, x2, x1, x1^2 ]
[ x3^3, x1*x2, x3^4, x3^6 ]
[ x3^3, x1, x3^4, x3^6 ]
[ x3^3, x2, x3^4, x3^6 ]
[ x1*x2, x1, x3^4, x3^6 ]
[ x1*x3^3, x1*x2, x3^4, x3^6 ]
[ x1*x2*x3^3, x1, x3^4, x3^6 ]
[ x1*x3^3, x2, x3^4, x3^6 ]
[ x3^3, x1*x2, x1, x3^6 ]
[ x3^3, x2, x3^4, x3^6 ]
[ x3^3, x1, x3^4, x3^6 ]
[ x3^3, x1*x2, x3^4, x3^6 ]
[ x2, x1, x3^4, x3^6 ]
[ x1*x3^3, x2, x3^4, x3^6 ]
[ x2*x3^3, x1, x3^4, x3^6 ]
[ x1*x3^3, x1*x2, x3^4, x3^6 ]
[ x3^3, x2, x1, x3^6 ]
[ x3^9, x1*x2, x3^8, x3^6 ]
[ x3^9, x1, x3^8, x3^6 ]
[ x3^9, x2, x3^8, x3^6 ]
[ x1*x2, x1, x3^8, x3^6 ]
[ x1*x3^9, x1*x2, x3^8, x3^6 ]
[ x1*x2*x3^9, x1, x3^8, x3^6 ]
[ x1*x3^9, x2, x3^8, x3^6 ]
[ x3^9, x1*x2, x1, x3^6 ]
[ x1*x3^3, x2, x3^4, x3^6 ]
[ x1*x3^3, x1, x3^4, x3^6 ]
[ x1*x3^3, x1*x2, x3^4, x3^6 ]
[ x2, x1, x3^4, x3^6 ]
[ x3^3, x2, x3^4, x3^6 ]
[ x1*x2*x3^3, x1, x3^4, x3^6 ]
[ x3^3, x1*x2, x3^4, x3^6 ]
[ x1*x3^3, x2, x1, x3^6 ]
[ x3^3, x2, x3^2, x1^2 ]
[ x3^3, x1, x3^2, x1^2 ]
[ x3^3, x1*x2, x3^2, x1^2 ]
[ x2, x1, x3^2, x1^2 ]
[ x1*x3^3, x2, x3^2, x1^2 ]
[ x2*x3^3, x1, x3^2, x1^2 ]
[ x1*x3^3, x1*x2, x3^2, x1^2 ]
[ x3^3, x2, x1, x1^2 ]
[ x3^3, x1, x3^2, x2*x3*x2*x3^5 ]
[ x3^3, x1*x2, x3^2, x2*x3*x2*x3^5 ]
[ x3^3, x2, x3^2, x2*x3*x2*x3^5 ]
[ x1, x1*x2, x3^2, x2*x3*x2*x3^5 ]
[ x1*x3*x2*x3^2, x1, x3^2, x2*x3*x2*x3^5 ]
[ x1*x3^3, x1*x2, x3^2, x2*x3*x2*x3^5 ]
[ x1*x3*x2*x3^2, x2, x3^2, x2*x3*x2*x3^5 ]
[ x3^3, x1, x1*x2, x2*x3*x2*x3^5 ]
[ x3^3, x1, x3^4, x2*x3*x2*x3^5 ]
[ x3^3, x1*x3*x2*x3^5, x3^4, x2*x3*x2*x3^5 ]
[ x3^3, x3*x2*x3^5, x3^4, x2*x3*x2*x3^5 ]
[ x1, x1*x3*x2*x3^5, x3^4, x2*x3*x2*x3^5 ]
[ x1*x2*x3^3, x1, x3^4, x2*x3*x2*x3^5 ]
[ x1*x3^3, x1*x3*x2*x3^5, x3^4, x2*x3*x2*x3^5 ]
[ x1*x2*x3^3, x3*x2*x3^5, x3^4, x2*x3*x2*x3^5 ]
[ x3^3, x1, x1*x3*x2*x3^5, x2*x3*x2*x3^5 ]
[ x3^3, x1, x3^2, x2*x3*x2*x3^5 ]
[ x3^3, x1*x2, x3^2, x2*x3*x2*x3^5 ]
[ x3^3, x2, x3^2, x2*x3*x2*x3^5 ]
[ x1, x1*x2, x3^2, x2*x3*x2*x3^5 ]
[ x1*x3*x2*x3^2, x1, x3^2, x2*x3*x2*x3^5 ]
[ x1*x3^3, x1*x2, x3^2, x2*x3*x2*x3^5 ]
[ x1*x3*x2*x3^2, x2, x3^2, x2*x3*x2*x3^5 ]
[ x3^3, x1, x1*x2, x2*x3*x2*x3^5 ]
[ x3^3, x1, x3^2, x1*x3*x1*x3^5 ]
[ x3^3, x2, x3^2, x1*x3*x1*x3^5 ]
[ x3^3, x1*x2, x3^2, x1*x3*x1*x3^5 ]
[ x1, x2, x3^2, x1*x3*x1*x3^5 ]
[ x2*x3^3, x1, x3^2, x1*x3*x1*x3^5 ]
[ x3*x1*x3^2, x2, x3^2, x1*x3*x1*x3^5 ]
[ x2*x3^3, x1*x2, x3^2, x1*x3*x1*x3^5 ]
[ x3^3, x1, x2, x1*x3*x1*x3^5 ]
[ x3^3, x1, x3^2, x2*x3*x2*x3^5 ]
[ x3^3, x2, x3^2, x2*x3*x2*x3^5 ]
[ x3^3, x1*x2, x3^2, x2*x3*x2*x3^5 ]
[ x1, x2, x3^2, x2*x3*x2*x3^5 ]
[ x3*x2*x3^2, x1, x3^2, x2*x3*x2*x3^5 ]
[ x1*x3^3, x2, x3^2, x2*x3*x2*x3^5 ]
[ x3*x2*x3^2, x1*x2, x3^2, x2*x3*x2*x3^5 ]
[ x3^3, x1, x2, x2*x3*x2*x3^5 ]
[ x3^3, x1, x3^2, x1*x3*x1*x3^5 ]
[ x3^3, x2, x3^2, x1*x3*x1*x3^5 ]
[ x3^3, x1*x2, x3^2, x1*x3*x1*x3^5 ]
[ x1, x2, x3^2, x1*x3*x1*x3^5 ]
[ x2*x3^3, x1, x3^2, x1*x3*x1*x3^5 ]
[ x3*x1*x3^2, x2, x3^2, x1*x3*x1*x3^5 ]
[ x2*x3^3, x1*x2, x3^2, x1*x3*x1*x3^5 ]
[ x3^3, x1, x2, x1*x3*x1*x3^5 ]
[ x3^3, x1, x3^2, x1*x3*x1*x3^5 ]
[ x3^3, x1*x2*x3*x1*x3^5, x3^2, x1*x3*x1*x3^5 ]
[ x3^3, x2*x3*x1*x3^5, x3^2, x1*x3*x1*x3^5 ]
[ x1, x1*x2*x3*x1*x3^5, x3^2, x1*x3*x1*x3^5 ]
[ x1*x2*x3*x1*x3^2, x1, x3^2, x1*x3*x1*x3^5 ]
[ x3*x1*x3^2, x1*x2*x3*x1*x3^5, x3^2, x1*x3*x1*x3^5 ]
[ x1*x2*x3*x1*x3^2, x2*x3*x1*x3^5, x3^2, x1*x3*x1*x3^5 ]
[ x3^3, x1, x1*x2*x3*x1*x3^5, x1*x3*x1*x3^5 ]
[ x1*x3*x1*x3^2, x1, x1*x3*x1*x3, x3^6 ]
[ x1*x3*x1*x3^2, x2, x1*x3*x1*x3, x3^6 ]
[ x1*x3*x1*x3^2, x1*x2, x1*x3*x1*x3, x3^6 ]
[ x1, x2, x1*x3*x1*x3, x3^6 ]
[ x1*x2*x3*x1*x3^2, x1, x1*x3*x1*x3, x3^6 ]
[ x1*x3^3, x2, x1*x3*x1*x3, x3^6 ]
[ x1*x2*x3*x1*x3^2, x1*x2, x1*x3*x1*x3, x3^6 ]
[ x1*x3*x1*x3^2, x1, x2, x3^6 ]
[ x3^3, x1, x3^4, x2*x3*x2*x3^5 ]
[ x3^3, x3*x2*x3^5, x3^4, x2*x3*x2*x3^5 ]
[ x3^3, x1*x3*x2*x3^5, x3^4, x2*x3*x2*x3^5 ]
[ x1, x3*x2*x3^5, x3^4, x2*x3*x2*x3^5 ]
[ x2*x3^3, x1, x3^4, x2*x3*x2*x3^5 ]
[ x1*x3^3, x3*x2*x3^5, x3^4, x2*x3*x2*x3^5 ]
[ x2*x3^3, x1*x3*x2*x3^5, x3^4, x2*x3*x2*x3^5 ]
[ x3^3, x1, x3*x2*x3^5, x2*x3*x2*x3^5 ]
[ x3^3, x2, x3^4, x1*x2*x1*x2 ]
[ x3^3, x1, x3^4, x1*x2*x1*x2 ]
[ x3^3, x2*x1, x3^4, x1*x2*x1*x2 ]
[ x2, x1, x3^4, x1*x2*x1*x2 ]
[ x1*x3^3, x2, x3^4, x1*x2*x1*x2 ]
[ x2*x3^3, x1, x3^4, x1*x2*x1*x2 ]
[ x1*x3^3, x2*x1, x3^4, x1*x2*x1*x2 ]
[ x3^3, x2, x1, x1*x2*x1*x2 ]
[ x3^3, x2, x3^4, x1*x2*x1*x2 ]
[ x3^3, x1, x3^4, x1*x2*x1*x2 ]
[ x3^3, x2*x1, x3^4, x1*x2*x1*x2 ]
[ x2, x1, x3^4, x1*x2*x1*x2 ]
[ x1*x3^3, x2, x3^4, x1*x2*x1*x2 ]
[ x2*x3^3, x1, x3^4, x1*x2*x1*x2 ]
[ x1*x3^3, x2*x1, x3^4, x1*x2*x1*x2 ]
[ x3^3, x2, x1, x1*x2*x1*x2 ]
[ x3^3, x2, x3^4, x1*x2*x1*x2 ]
[ x3^3, x1, x3^4, x1*x2*x1*x2 ]
[ x3^3, x2*x1, x3^4, x1*x2*x1*x2 ]
[ x2, x1, x3^4, x1*x2*x1*x2 ]
[ x1*x3^3, x2, x3^4, x1*x2*x1*x2 ]
[ x1*x2*x1*x3^3, x1, x3^4, x1*x2*x1*x2 ]
[ x1*x3^3, x2*x1, x3^4, x1*x2*x1*x2 ]
[ x3^3, x2, x1, x1*x2*x1*x2 ]
[ x3^3, x1, x3^2, x2*x3*x2*x3^5 ]
[ x3^3, x1*x3*x2*x3^5, x3^2, x2*x3*x2*x3^5 ]
[ x3^3, x3*x2*x3^5, x3^2, x2*x3*x2*x3^5 ]
[ x1, x1*x3*x2*x3^5, x3^2, x2*x3*x2*x3^5 ]
[ x1*x2*x3^3, x1, x3^2, x2*x3*x2*x3^5 ]
[ x1*x3^3, x1*x3*x2*x3^5, x3^2, x2*x3*x2*x3^5 ]
[ x1*x2*x3^3, x3*x2*x3^5, x3^2, x2*x3*x2*x3^5 ]
[ x3^3, x1, x1*x3*x2*x3^5, x2*x3*x2*x3^5 ]
[ x3^3, x1, x3^4, x2*x3*x2*x3^5 ]
[ x3^3, x3*x2*x3^5, x3^4, x2*x3*x2*x3^5 ]
[ x3^3, x1*x3*x2*x3^5, x3^4, x2*x3*x2*x3^5 ]
[ x1, x3*x2*x3^5, x3^4, x2*x3*x2*x3^5 ]
[ x2*x3^3, x1, x3^4, x2*x3*x2*x3^5 ]
[ x1*x3^3, x3*x2*x3^5, x3^4, x2*x3*x2*x3^5 ]
[ x2*x3^3, x1*x3*x2*x3^5, x3^4, x2*x3*x2*x3^5 ]
[ x3^3, x1, x3*x2*x3^5, x2*x3*x2*x3^5 ]
[ x3^3, x1, x3^2, x2*x3*x2*x3^5 ]
[ x3^3, x1*x2, x3^2, x2*x3*x2*x3^5 ]
[ x3^3, x2, x3^2, x2*x3*x2*x3^5 ]
[ x1, x1*x2, x3^2, x2*x3*x2*x3^5 ]
[ x1*x3*x2*x3^2, x1, x3^2, x2*x3*x2*x3^5 ]
[ x1*x3^3, x1*x2, x3^2, x2*x3*x2*x3^5 ]
[ x1*x3*x2*x3^2, x2, x3^2, x2*x3*x2*x3^5 ]
[ x3^3, x1, x1*x2, x2*x3*x2*x3^5 ]
[ x3^3, x1, x3^2, x1*x3*x1*x3^5 ]
[ x3^3, x2, x3^2, x1*x3*x1*x3^5 ]
[ x3^3, x1*x2, x3^2, x1*x3*x1*x3^5 ]
[ x1, x2, x3^2, x1*x3*x1*x3^5 ]
[ x2*x3^3, x1, x3^2, x1*x3*x1*x3^5 ]
[ x3*x1*x3^2, x2, x3^2, x1*x3*x1*x3^5 ]
[ x2*x3^3, x1*x2, x3^2, x1*x3*x1*x3^5 ]
[ x3^3, x1, x2, x1*x3*x1*x3^5 ]
[ x3^3, x1, x3^2, x2*x3*x2*x3^5 ]
[ x3^3, x1*x3*x2*x3^5, x3^2, x2*x3*x2*x3^5 ]
[ x3^3, x3*x2*x3^5, x3^2, x2*x3*x2*x3^5 ]
[ x1, x1*x3*x2*x3^5, x3^2, x2*x3*x2*x3^5 ]
[ x1*x2*x3^3, x1, x3^2, x2*x3*x2*x3^5 ]
[ x1*x3^3, x1*x3*x2*x3^5, x3^2, x2*x3*x2*x3^5 ]
[ x1*x2*x3^3, x3*x2*x3^5, x3^2, x2*x3*x2*x3^5 ]
[ x3^3, x1, x1*x3*x2*x3^5, x2*x3*x2*x3^5 ]
[ x3^3, x1, x3^4, x2*x3*x2*x3^5 ]
[ x3^3, x3*x2*x3^5, x3^4, x2*x3*x2*x3^5 ]
[ x3^3, x1*x3*x2*x3^5, x3^4, x2*x3*x2*x3^5 ]
[ x1, x3*x2*x3^5, x3^4, x2*x3*x2*x3^5 ]
[ x2*x3^3, x1, x3^4, x2*x3*x2*x3^5 ]
[ x1*x3^3, x3*x2*x3^5, x3^4, x2*x3*x2*x3^5 ]
[ x2*x3^3, x1*x3*x2*x3^5, x3^4, x2*x3*x2*x3^5 ]
[ x3^3, x1, x3*x2*x3^5, x2*x3*x2*x3^5 ]
[ x3^3, x2, x3^4, x1*x2*x1*x2 ]
[ x3^3, x1, x3^4, x1*x2*x1*x2 ]
[ x3^3, x2*x1, x3^4, x1*x2*x1*x2 ]
[ x2, x1, x3^4, x1*x2*x1*x2 ]
[ x1*x3^3, x2, x3^4, x1*x2*x1*x2 ]
[ x2*x3^3, x1, x3^4, x1*x2*x1*x2 ]
[ x1*x3^3, x2*x1, x3^4, x1*x2*x1*x2 ]
[ x3^3, x2, x1, x1*x2*x1*x2 ]
[ x3^3, x2, x3^4, x1*x3*x1*x3^5 ]
[ x3^3, x1*x2, x3^4, x1*x3*x1*x3^5 ]
[ x3^3, x1, x3^4, x1*x3*x1*x3^5 ]
[ x2, x1*x2, x3^4, x1*x3*x1*x3^5 ]
[ x2*x3*x1*x3^2, x2, x3^4, x1*x3*x1*x3^5 ]
[ x2*x3^3, x1*x2, x3^4, x1*x3*x1*x3^5 ]
[ x2*x3*x1*x3^2, x1, x3^4, x1*x3*x1*x3^5 ]
[ x3^3, x2, x1*x2, x1*x3*x1*x3^5 ]
[ x3^3, x1, x3^2, x2*x3*x2*x3^5 ]
[ x3^3, x2, x3^2, x2*x3*x2*x3^5 ]
[ x3^3, x1*x2, x3^2, x2*x3*x2*x3^5 ]
[ x1, x2, x3^2, x2*x3*x2*x3^5 ]
[ x3*x2*x3^2, x1, x3^2, x2*x3*x2*x3^5 ]
[ x1*x3^3, x2, x3^2, x2*x3*x2*x3^5 ]
[ x3*x2*x3^2, x1*x2, x3^2, x2*x3*x2*x3^5 ]
[ x3^3, x1, x2, x2*x3*x2*x3^5 ]
[ x3^3, x2, x3^4, x1*x3*x1*x3^5 ]
[ x3^3, x1*x2, x3^4, x1*x3*x1*x3^5 ]
[ x3^3, x1, x3^4, x1*x3*x1*x3^5 ]
[ x2, x1*x2, x3^4, x1*x3*x1*x3^5 ]
[ x2*x3*x1*x3^2, x2, x3^4, x1*x3*x1*x3^5 ]
[ x2*x3^3, x1*x2, x3^4, x1*x3*x1*x3^5 ]
[ x2*x3*x1*x3^2, x1, x3^4, x1*x3*x1*x3^5 ]
[ x3^3, x2, x1*x2, x1*x3*x1*x3^5 ]
[ x3^3, x1, x3^2, x1*x3*x1*x3^5 ]
[ x3^3, x2, x3^2, x1*x3*x1*x3^5 ]
[ x3^3, x1*x2, x3^2, x1*x3*x1*x3^5 ]
[ x1, x2, x3^2, x1*x3*x1*x3^5 ]
[ x2*x3^3, x1, x3^2, x1*x3*x1*x3^5 ]
[ x3*x1*x3^2, x2, x3^2, x1*x3*x1*x3^5 ]
[ x2*x3^3, x1*x2, x3^2, x1*x3*x1*x3^5 ]
[ x3^3, x1, x2, x1*x3*x1*x3^5 ]
[ x3^3, x1, x3^2, x1*x3*x1*x3^5 ]
[ x3^3, x2, x3^2, x1*x3*x1*x3^5 ]
[ x3^3, x1*x2, x3^2, x1*x3*x1*x3^5 ]
[ x1, x2, x3^2, x1*x3*x1*x3^5 ]
[ x2*x3^3, x1, x3^2, x1*x3*x1*x3^5 ]
[ x3*x1*x3^2, x2, x3^2, x1*x3*x1*x3^5 ]
[ x2*x3^3, x1*x2, x3^2, x1*x3*x1*x3^5 ]
[ x3^3, x1, x2, x1*x3*x1*x3^5 ]
[ x3^3, x1, x3^2, x2*x3*x2*x3^5 ]
[ x3^3, x2, x3^2, x2*x3*x2*x3^5 ]
[ x3^3, x1*x2, x3^2, x2*x3*x2*x3^5 ]
[ x1, x2, x3^2, x2*x3*x2*x3^5 ]
[ x3*x2*x3^2, x1, x3^2, x2*x3*x2*x3^5 ]
[ x1*x3^3, x2, x3^2, x2*x3*x2*x3^5 ]
[ x3*x2*x3^2, x1*x2, x3^2, x2*x3*x2*x3^5 ]
[ x3^3, x1, x2, x2*x3*x2*x3^5 ]
[ x3^3, x1, x3^2, x2*x3*x2*x3^5 ]
[ x3^3, x3*x2*x3^5, x3^2, x2*x3*x2*x3^5 ]
[ x3^3, x1*x3*x2*x3^5, x3^2, x2*x3*x2*x3^5 ]
[ x1, x3*x2*x3^5, x3^2, x2*x3*x2*x3^5 ]
[ x2*x3^3, x1, x3^2, x2*x3*x2*x3^5 ]
[ x1*x3^3, x3*x2*x3^5, x3^2, x2*x3*x2*x3^5 ]
[ x2*x3^3, x1*x3*x2*x3^5, x3^2, x2*x3*x2*x3^5 ]
[ x3^3, x1, x3*x2*x3^5, x2*x3*x2*x3^5 ]
[ x2*x3*x2*x3^2, x1, x2*x3*x2*x3, x3^6 ]
[ x2*x3*x2*x3^2, x2*x3^6, x2*x3*x2*x3, x3^6 ]
[ x2*x3*x2*x3^2, x1*x2*x3^6, x2*x3*x2*x3, x3^6 ]
[ x1, x2*x3^6, x2*x3*x2*x3, x3^6 ]
[ x3*x2*x3^2, x1, x2*x3*x2*x3, x3^6 ]
[ x1*x2*x3*x2*x3^2, x2*x3^6, x2*x3*x2*x3, x3^6 ]
[ x3*x2*x3^2, x1*x2*x3^6, x2*x3*x2*x3, x3^6 ]
[ x2*x3*x2*x3^2, x1, x2*x3^6, x3^6 ]
[ x3^3, x1, x3^2, x2*x3*x2*x3^5 ]
[ x3^3, x2, x3^2, x2*x3*x2*x3^5 ]
[ x3^3, x1*x2, x3^2, x2*x3*x2*x3^5 ]
[ x1, x2, x3^2, x2*x3*x2*x3^5 ]
[ x3*x2*x3^2, x1, x3^2, x2*x3*x2*x3^5 ]
[ x1*x3^3, x2, x3^2, x2*x3*x2*x3^5 ]
[ x3*x2*x3^2, x1*x2, x3^2, x2*x3*x2*x3^5 ]
[ x3^3, x1, x2, x2*x3*x2*x3^5 ]
[ x3^3, x1, x3^2, x1*x3*x1*x3^5 ]
[ x3^3, x1*x2*x3*x1*x3^5, x3^2, x1*x3*x1*x3^5 ]
[ x3^3, x2*x3*x1*x3^5, x3^2, x1*x3*x1*x3^5 ]
[ x1, x1*x2*x3*x1*x3^5, x3^2, x1*x3*x1*x3^5 ]
[ x1*x2*x3*x1*x3^2, x1, x3^2, x1*x3*x1*x3^5 ]
[ x3*x1*x3^2, x1*x2*x3*x1*x3^5, x3^2, x1*x3*x1*x3^5 ]
[ x1*x2*x3*x1*x3^2, x2*x3*x1*x3^5, x3^2, x1*x3*x1*x3^5 ]
[ x3^3, x1, x1*x2*x3*x1*x3^5, x1*x3*x1*x3^5 ]
[ x3^3, x1, x3^4, x2^2 ]
[ x3^3, x2, x3^4, x2^2 ]
[ x3^3, x1*x2, x3^4, x2^2 ]
[ x1, x2, x3^4, x2^2 ]
[ x2^3*x3^3, x1, x3^4, x2^2 ]
[ x1*x3^3, x2, x3^4, x2^2 ]
[ x2^3*x3^3, x1*x2, x3^4, x2^2 ]
[ x3^3, x1, x2, x2^2 ]
[ x3^3, x1, x3^4, x1^2 ]
[ x3^3, x2, x3^4, x1^2 ]
[ x3^3, x1*x2, x3^4, x1^2 ]
[ x1, x2, x3^4, x1^2 ]
[ x2*x3^3, x1, x3^4, x1^2 ]
[ x1^3*x3^3, x2, x3^4, x1^2 ]
[ x2*x3^3, x1*x2, x3^4, x1^2 ]
[ x3^3, x1, x2, x1^2 ]
[ x1*x3*x1*x3^2, x1, x1*x3*x1*x3, x3^6 ]
[ x1*x3*x1*x3^2, x2, x1*x3*x1*x3, x3^6 ]
[ x1*x3*x1*x3^2, x1*x2, x1*x3*x1*x3, x3^6 ]
[ x1, x2, x1*x3*x1*x3, x3^6 ]
[ x1*x2*x3*x1*x3^2, x1, x1*x3*x1*x3, x3^6 ]
[ x1*x3^3, x2, x1*x3*x1*x3, x3^6 ]
[ x1*x2*x3*x1*x3^2, x1*x2, x1*x3*x1*x3, x3^6 ]
[ x1*x3*x1*x3^2, x1, x2, x3^6 ]
[ x3^3, x1, x3^2, x1^2 ]
[ x3^3, x2, x3^2, x1^2 ]
[ x3^3, x1*x2, x3^2, x1^2 ]
[ x1, x2, x3^2, x1^2 ]
[ x2*x3^3, x1, x3^2, x1^2 ]
[ x1^3*x3^3, x2, x3^2, x1^2 ]
[ x2*x3^3, x1*x2, x3^2, x1^2 ]
[ x3^3, x1, x2, x1^2 ]
[ x1*x3*x1*x3^2, x1, x1*x3*x1*x3, x3^6 ]
[ x1*x3*x1*x3^2, x2, x1*x3*x1*x3, x3^6 ]
[ x1*x3*x1*x3^2, x1*x2, x1*x3*x1*x3, x3^6 ]
[ x1, x2, x1*x3*x1*x3, x3^6 ]
[ x1*x2*x3*x1*x3^2, x1, x1*x3*x1*x3, x3^6 ]
[ x1*x3^3, x2, x1*x3*x1*x3, x3^6 ]
[ x1*x2*x3*x1*x3^2, x1*x2, x1*x3*x1*x3, x3^6 ]
[ x1*x3*x1*x3^2, x1, x2, x3^6 ]
[ x3^3, x2, x3^2, x2^2 ]
[ x3^3, x1, x3^2, x2^2 ]
[ x3^3, x2*x1, x3^2, x2^2 ]
[ x2, x1, x3^2, x2^2 ]
[ x1*x3^3, x2, x3^2, x2^2 ]
[ x2*x3^3, x1, x3^2, x2^2 ]
[ x1*x3^3, x2*x1, x3^2, x2^2 ]
[ x3^3, x2, x1, x2^2 ]
[ x1*x3^3, x2, x3^4, x3^6 ]
[ x1*x3^3, x1, x3^4, x3^6 ]
[ x1*x3^3, x1*x2, x3^4, x3^6 ]
[ x2, x1, x3^4, x3^6 ]
[ x3^3, x2, x3^4, x3^6 ]
[ x1*x2*x3^3, x1, x3^4, x3^6 ]
[ x3^3, x1*x2, x3^4, x3^6 ]
[ x1*x3^3, x2, x1, x3^6 ]
[ x1*x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x3*x1*x3^3, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x2*x3*x1*x3^3, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x2, x3*x1*x3^3, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2*x3*x1*x3^4, x3*x1*x3^3, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1, x2*x3*x1*x3^3, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x2, x3*x1*x3^3, x1*x3*x1*x3 ]
[ x1*x2*x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2*x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2*x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x2*x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x2*x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2*x3*x1*x3^4, x1*x2, x1, x1*x3*x1*x3 ]
[ x1*x2*x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2*x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2*x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x2*x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x2*x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2*x3*x1*x3^4, x1*x2, x1, x1*x3*x1*x3 ]
[ x2*x3*x2*x3^4, x3*x2*x3^3, x2*x3*x2*x3, x2*x3*x2*x3^3 ]
[ x2*x3*x2*x3^4, x1, x2*x3*x2*x3, x2*x3*x2*x3^3 ]
[ x2*x3*x2*x3^4, x1*x3*x2*x3^3, x2*x3*x2*x3, x2*x3*x2*x3^3 ]
[ x3*x2*x3^3, x1, x2*x3*x2*x3, x2*x3*x2*x3^3 ]
[ x1*x2*x3*x2*x3^4, x3*x2*x3^3, x2*x3*x2*x3, x2*x3*x2*x3^3 ]
[ x3*x2, x1, x2*x3*x2*x3, x2*x3*x2*x3^3 ]
[ x1*x2*x3*x2*x3^4, x1*x3*x2*x3^3, x2*x3*x2*x3, x2*x3*x2*x3^3 ]
[ x2*x3*x2*x3^4, x3*x2*x3^3, x1, x2*x3*x2*x3 ]
[ x1*x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x1*x3^4, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x1*x2*x3^4, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x2, x1*x3^4, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2*x3*x1*x3^4, x1*x3^4, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3, x1*x2*x3^4, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x2, x1*x3^4, x1*x3*x1*x3 ]
[ x1*x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x2*x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x1*x2, x1, x1*x3*x1*x3 ]
[ x1*x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x2*x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x1*x2, x1, x1*x3*x1*x3 ]
[ x3^3, x2, x2^2, x3^2 ]
[ x3^3, x3^2*x1, x2^2, x3^2 ]
[ x3^3, x2*x3^2*x1, x2^2, x3^2 ]
[ x2, x3^2*x1, x2^2, x3^2 ]
[ x1*x3, x2, x2^2, x3^2 ]
[ x2*x3^3, x3^2*x1, x2^2, x3^2 ]
[ x1*x3, x2*x3^2*x1, x2^2, x3^2 ]
[ x3^3, x2, x3^2*x1, x2^2 ]
[ x1*x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x2*x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x1*x2, x1, x1*x3*x1*x3 ]
[ x3^3, x2*x3^2, x2^2, x3^2 ]
[ x3^3, x1, x2^2, x3^2 ]
[ x3^3, x1*x2*x3^2, x2^2, x3^2 ]
[ x2*x3^2, x1, x2^2, x3^2 ]
[ x1*x3^3, x2*x3^2, x2^2, x3^2 ]
[ x3*x2, x1, x2^2, x3^2 ]
[ x1*x3^3, x1*x2*x3^2, x2^2, x3^2 ]
[ x3^3, x2*x3^2, x1, x2^2 ]
[ x1*x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2*x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x2, x1, x1*x3*x1*x3 ]
[ x3^3, x1*x2, x2^2, x3^2 ]
[ x3^3, x1, x2^2, x3^2 ]
[ x3^3, x2, x2^2, x3^2 ]
[ x1*x2, x1, x2^2, x3^2 ]
[ x1*x3^3, x1*x2, x2^2, x3^2 ]
[ x1*x2*x3^3, x1, x2^2, x3^2 ]
[ x1*x3^3, x2, x2^2, x3^2 ]
[ x3^3, x1*x2, x1, x2^2 ]
[ x1*x3^3, x2, x1^2, x3^2 ]
[ x1*x3^3, x1, x1^2, x3^2 ]
[ x1*x3^3, x1*x2, x1^2, x3^2 ]
[ x2, x1, x1^2, x3^2 ]
[ x1^2*x3^3, x2, x1^2, x3^2 ]
[ x1*x2*x3^3, x1, x1^2, x3^2 ]
[ x1^2*x3^3, x1*x2, x1^2, x3^2 ]
[ x1*x3^3, x2, x1, x1^2 ]
[ x3^3, x2, x1^2, x3^2 ]
[ x3^3, x1, x1^2, x3^2 ]
[ x3^3, x1*x2, x1^2, x3^2 ]
[ x2, x1, x1^2, x3^2 ]
[ x1*x3^3, x2, x1^2, x3^2 ]
[ x2*x3^3, x1, x1^2, x3^2 ]
[ x1*x3^3, x1*x2, x1^2, x3^2 ]
[ x3^3, x2, x1, x1^2 ]
[ x3, x1*x2*x1*x2^4, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x3, x1, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x3, x2*x1*x2^4, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x2^4, x1, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x3, x1*x2*x1*x2^4, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x2^4*x3, x1, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x3, x2*x1*x2^4, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x3, x1*x2*x1*x2^4, x1, x1*x2*x1*x2 ]
[ x3*x1*x3*x1*x3, x2, x2^2, x1*x3*x1*x3 ]
[ x3*x1*x3*x1*x3, x1, x2^2, x1*x3*x1*x3 ]
[ x3*x1*x3*x1*x3, x1*x2, x2^2, x1*x3*x1*x3 ]
[ x2, x1, x2^2, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x1*x3, x2, x2^2, x1*x3*x1*x3 ]
[ x2*x3*x1*x3*x1*x3, x1, x2^2, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x1*x3, x1*x2, x2^2, x1*x3*x1*x3 ]
[ x3*x1*x3*x1*x3, x2, x1, x2^2 ]
[ x1*x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2*x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x2, x1, x1*x3*x1*x3 ]
[ x1*x2*x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2*x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2*x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x2*x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x2*x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2*x3*x1*x3^4, x1*x2, x1, x1*x3*x1*x3 ]
[ x1*x2*x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2*x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2*x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x2*x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x2*x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2*x3*x1*x3^4, x1*x2, x1, x1*x3*x1*x3 ]
[ x3^3, x2, x1^2, x3^2 ]
[ x3^3, x1, x1^2, x3^2 ]
[ x3^3, x1*x2, x1^2, x3^2 ]
[ x2, x1, x1^2, x3^2 ]
[ x1*x3^3, x2, x1^2, x3^2 ]
[ x2*x3^3, x1, x1^2, x3^2 ]
[ x1*x3^3, x1*x2, x1^2, x3^2 ]
[ x3^3, x2, x1, x1^2 ]
[ x3^3, x2, x2^2, x3^2 ]
[ x3^3, x1, x2^2, x3^2 ]
[ x3^3, x1*x2, x2^2, x3^2 ]
[ x2, x1, x2^2, x3^2 ]
[ x1*x3^3, x2, x2^2, x3^2 ]
[ x2*x3^3, x1, x2^2, x3^2 ]
[ x1*x3^3, x1*x2, x2^2, x3^2 ]
[ x3^3, x2, x1, x2^2 ]
[ x3^3, x2, x2^2, x3^2 ]
[ x3^3, x1, x2^2, x3^2 ]
[ x3^3, x1*x2, x2^2, x3^2 ]
[ x2, x1, x2^2, x3^2 ]
[ x1*x3^3, x2, x2^2, x3^2 ]
[ x2*x3^3, x1, x2^2, x3^2 ]
[ x1*x3^3, x1*x2, x2^2, x3^2 ]
[ x3^3, x2, x1, x2^2 ]
[ x3*x1*x3*x1*x3, x2, x2^2, x1*x3*x1*x3 ]
[ x3*x1*x3*x1*x3, x1, x2^2, x1*x3*x1*x3 ]
[ x3*x1*x3*x1*x3, x1*x2, x2^2, x1*x3*x1*x3 ]
[ x2, x1, x2^2, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x1*x3, x2, x2^2, x1*x3*x1*x3 ]
[ x2*x3*x1*x3*x1*x3, x1, x2^2, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x1*x3, x1*x2, x2^2, x1*x3*x1*x3 ]
[ x3*x1*x3*x1*x3, x2, x1, x2^2 ]
[ x3*x1*x3*x1*x3, x2, x2^2, x1*x3*x1*x3 ]
[ x3*x1*x3*x1*x3, x1, x2^2, x1*x3*x1*x3 ]
[ x3*x1*x3*x1*x3, x1*x2, x2^2, x1*x3*x1*x3 ]
[ x2, x1, x2^2, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x1*x3, x2, x2^2, x1*x3*x1*x3 ]
[ x2*x3*x1*x3*x1*x3, x1, x2^2, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x1*x3, x1*x2, x2^2, x1*x3*x1*x3 ]
[ x3*x1*x3*x1*x3, x2, x1, x2^2 ]
[ x1*x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x2*x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x1*x2, x1, x1*x3*x1*x3 ]
[ x1*x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x3*x1*x3^3, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x2*x3*x1*x3^3, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x2, x3*x1*x3^3, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2*x3*x1*x3^4, x3*x1*x3^3, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1, x2*x3*x1*x3^3, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x2, x3*x1*x3^3, x1*x3*x1*x3 ]
[ x1*x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2*x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x2, x1, x1*x3*x1*x3 ]
[ x3^3, x2, x2^2, x3^2 ]
[ x3^3, x1*x3^2, x2^2, x3^2 ]
[ x3^3, x1*x2*x3^2, x2^2, x3^2 ]
[ x2, x1*x3^2, x2^2, x3^2 ]
[ x3*x1, x2, x2^2, x3^2 ]
[ x2*x3^3, x1*x3^2, x2^2, x3^2 ]
[ x3*x1, x1*x2*x3^2, x2^2, x3^2 ]
[ x3^3, x2, x1*x3^2, x2^2 ]
[ x1*x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x2*x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x1*x2, x1, x1*x3*x1*x3 ]
[ x1*x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x2*x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x1*x2, x1, x1*x3*x1*x3 ]
[ x3^3, x2, x2^2, x3^2 ]
[ x3^3, x1*x3^2, x2^2, x3^2 ]
[ x3^3, x1*x2*x3^2, x2^2, x3^2 ]
[ x2, x1*x3^2, x2^2, x3^2 ]
[ x3*x1, x2, x2^2, x3^2 ]
[ x2*x3^3, x1*x3^2, x2^2, x3^2 ]
[ x3*x1, x1*x2*x3^2, x2^2, x3^2 ]
[ x3^3, x2, x1*x3^2, x2^2 ]
[ x3^3, x1*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1*x3^2, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2*x3^2, x1*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x1, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2*x3^2, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1*x3^2, x2, x1*x2*x3*x1*x2*x3 ]
[ x3^3, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1*x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2*x3^2, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1*x3^3, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2*x3^2, x1*x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1, x2, x1*x2*x3*x1*x2*x3 ]
[ x1*x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x1*x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x1*x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x2*x1, x1, x1*x2*x1*x2, x3^2 ]
[ x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x2*x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x1*x3^3, x2*x1, x1, x1*x2*x1*x2 ]
[ x3^3, x1*x3^2, x1*x3*x1*x3, x3^2 ]
[ x3^3, x1*x2*x3^2, x1*x3*x1*x3, x3^2 ]
[ x3^3, x2, x1*x3*x1*x3, x3^2 ]
[ x1*x3^2, x1*x2*x3^2, x1*x3*x1*x3, x3^2 ]
[ x2*x3*x1, x1*x3^2, x1*x3*x1*x3, x3^2 ]
[ x3*x1, x1*x2*x3^2, x1*x3*x1*x3, x3^2 ]
[ x2*x3*x1, x2, x1*x3*x1*x3, x3^2 ]
[ x3^3, x1*x3^2, x1*x2*x3^2, x1*x3*x1*x3 ]
[ x1*x3^3*x1, x1*x3^4, x3^6, x1*x3^4*x1 ]
[ x1*x3^3*x1, x1*x2*x3^4, x3^6, x1*x3^4*x1 ]
[ x1*x3^3*x1, x2, x3^6, x1*x3^4*x1 ]
[ x1*x3^4, x1*x2*x3^4, x3^6, x1*x3^4*x1 ]
[ x2*x3^5*x1, x1*x3^4, x3^6, x1*x3^4*x1 ]
[ x3^5*x1, x1*x2*x3^4, x3^6, x1*x3^4*x1 ]
[ x2*x3^5*x1, x2, x3^6, x1*x3^4*x1 ]
[ x1*x3^3*x1, x1*x3^4, x1*x2*x3^4, x3^6 ]
[ x3^3, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1*x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2*x3^2, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1*x3^3, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2*x3^2, x1*x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1, x2, x1*x2*x3*x1*x2*x3 ]
[ x3^3, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1*x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2*x3^2, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1*x3^3, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2*x3^2, x1*x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1, x2, x1*x2*x3*x1*x2*x3 ]
[ x1*x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x1*x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x1*x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x2*x1, x1, x1*x2*x1*x2, x3^2 ]
[ x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x2*x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x1*x3^3, x2*x1, x1, x1*x2*x1*x2 ]
[ x3*x1*x2*x3*x1*x3, x1, x2*x3*x2*x3, x1*x3*x1*x3 ]
[ x3*x1*x2*x3*x1*x3, x2, x2*x3*x2*x3, x1*x3*x1*x3 ]
[ x3*x1*x2*x3*x1*x3, x1*x2, x2*x3*x2*x3, x1*x3*x1*x3 ]
[ x1, x2, x2*x3*x2*x3, x1*x3*x1*x3 ]
[ x3*x1*x3*x1*x3, x1, x2*x3*x2*x3, x1*x3*x1*x3 ]
[ x1*x3*x1*x2*x3*x1*x3, x2, x2*x3*x2*x3, x1*x3*x1*x3 ]
[ x3*x1*x3*x1*x3, x1*x2, x2*x3*x2*x3, x1*x3*x1*x3 ]
[ x3*x1*x2*x3*x1*x3, x1, x2, x2*x3*x2*x3 ]
[ x3*x1*x3^2, x3^2*x1, x1*x3*x1*x3, x3^2 ]
[ x3*x1*x3^2, x2*x3^2*x1, x1*x3*x1*x3, x3^2 ]
[ x3*x1*x3^2, x2, x1*x3*x1*x3, x3^2 ]
[ x3^2*x1, x2*x3^2*x1, x1*x3*x1*x3, x3^2 ]
[ x2*x3^3, x3^2*x1, x1*x3*x1*x3, x3^2 ]
[ x3^3, x2*x3^2*x1, x1*x3*x1*x3, x3^2 ]
[ x2*x3^3, x2, x1*x3*x1*x3, x3^2 ]
[ x3*x1*x3^2, x3^2*x1, x2*x3^2*x1, x1*x3*x1*x3 ]
[ x1*x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x1*x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x1*x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x2*x1, x1, x1*x2*x1*x2, x3^2 ]
[ x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x1*x2*x1*x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x1*x3^3, x2*x1, x1, x1*x2*x1*x2 ]
[ x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x2, x1, x1*x2*x1*x2, x3^2 ]
[ x1*x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x2*x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x1*x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x3^3, x2, x1, x1*x2*x1*x2 ]
[ x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x2, x1, x1*x2*x1*x2, x3^2 ]
[ x1*x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x2*x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x1*x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x3^3, x2, x1, x1*x2*x1*x2 ]
[ x1*x2*x3*x2, x2*x3*x2*x3*x1, x1*x2*x3*x1*x2*x3, x2*x3*x2*x3 ]
[ x1*x2*x3*x2, x3*x2*x3*x1, x1*x2*x3*x1*x2*x3, x2*x3*x2*x3 ]
[ x1*x2*x3*x2, x2, x1*x2*x3*x1*x2*x3, x2*x3*x2*x3 ]
[ x2*x3*x2*x3*x1, x3*x2*x3*x1, x1*x2*x3*x1*x2*x3, x2*x3*x2*x3 ]
[ x2*x3^3, x2*x3*x2*x3*x1, x1*x2*x3*x1*x2*x3, x2*x3*x2*x3 ]
[ x2*x3*x2*x3^2, x3*x2*x3*x1, x1*x2*x3*x1*x2*x3, x2*x3*x2*x3 ]
[ x2*x3^3, x2, x1*x2*x3*x1*x2*x3, x2*x3*x2*x3 ]
[ x1*x2*x3*x2, x2*x3*x2*x3*x1, x3*x2*x3*x1, x1*x2*x3*x1*x2*x3 ]
[ x1*x3*x1*x3^2, x1, x2*x3*x2*x3, x1*x3*x1*x3 ]
[ x1*x3*x1*x3^2, x2, x2*x3*x2*x3, x1*x3*x1*x3 ]
[ x1*x3*x1*x3^2, x1*x2, x2*x3*x2*x3, x1*x3*x1*x3 ]
[ x1, x2, x2*x3*x2*x3, x1*x3*x1*x3 ]
[ x1*x2*x3*x1*x3^2, x1, x2*x3*x2*x3, x1*x3*x1*x3 ]
[ x1*x3^3, x2, x2*x3*x2*x3, x1*x3*x1*x3 ]
[ x1*x2*x3*x1*x3^2, x1*x2, x2*x3*x2*x3, x1*x3*x1*x3 ]
[ x1*x3*x1*x3^2, x1, x2, x2*x3*x2*x3 ]
[ x2*x3^3, x1, x3^6, x2*x3^4*x2 ]
[ x2*x3^3, x2, x3^6, x2*x3^4*x2 ]
[ x2*x3^3, x1*x2, x3^6, x2*x3^4*x2 ]
[ x1, x2, x3^6, x2*x3^4*x2 ]
[ x2*x3^3*x2, x1, x3^6, x2*x3^4*x2 ]
[ x1*x2*x3^3, x2, x3^6, x2*x3^4*x2 ]
[ x2*x3^3*x2, x1*x2, x3^6, x2*x3^4*x2 ]
[ x2*x3^3, x1, x2, x3^6 ]
[ x3^5*x1, x1*x3^4, x3^6, x1*x3^4*x1 ]
[ x3^5*x1, x1*x2*x3^4, x3^6, x1*x3^4*x1 ]
[ x3^5*x1, x2, x3^6, x1*x3^4*x1 ]
[ x1*x3^4, x1*x2*x3^4, x3^6, x1*x3^4*x1 ]
[ x1*x2*x3^3*x1, x1*x3^4, x3^6, x1*x3^4*x1 ]
[ x1*x3^3*x1, x1*x2*x3^4, x3^6, x1*x3^4*x1 ]
[ x1*x2*x3^3*x1, x2, x3^6, x1*x3^4*x1 ]
[ x3^5*x1, x1*x3^4, x1*x2*x3^4, x3^6 ]
[ x3^3, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1, x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x1*x3^2, x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1, x2*x3^2, x1*x2*x3*x1*x2*x3 ]
[ x3^3, x3^2*x1, x1*x3*x1*x3, x3^2 ]
[ x3^3, x2*x3^2*x1, x1*x3*x1*x3, x3^2 ]
[ x3^3, x2, x1*x3*x1*x3, x3^2 ]
[ x3^2*x1, x2*x3^2*x1, x1*x3*x1*x3, x3^2 ]
[ x1*x2*x3, x3^2*x1, x1*x3*x1*x3, x3^2 ]
[ x1*x2*x3*x2, x2*x3^2*x1, x1*x3*x1*x3, x3^2 ]
[ x1*x2*x3, x2, x1*x3*x1*x3, x3^2 ]
[ x3^3, x3^2*x1, x2*x3^2*x1, x1*x3*x1*x3 ]
[ x3, x1, x2*x3*x2*x3, x2^2 ]
[ x3, x1*x2^2*x1*x3*x2*x3, x2*x3*x2*x3, x2^2 ]
[ x3, x2^2*x1*x3*x2*x3, x2*x3*x2*x3, x2^2 ]
[ x1, x1*x2^2*x1*x3*x2*x3, x2*x3*x2*x3, x2^2 ]
[ x2^3*x3, x1, x2*x3*x2*x3, x2^2 ]
[ x1*x3, x1*x2^2*x1*x3*x2*x3, x2*x3*x2*x3, x2^2 ]
[ x2^3*x3, x2^2*x1*x3*x2*x3, x2*x3*x2*x3, x2^2 ]
[ x3, x1, x1*x2^2*x1*x3*x2*x3, x2*x3*x2*x3 ]
[ x3^3, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1, x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x1*x3^2, x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1, x2*x3^2, x1*x2*x3*x1*x2*x3 ]
[ x3^3, x1, x2*x3*x2*x3, x3^2 ]
[ x3^3, x2*x3^2, x2*x3*x2*x3, x3^2 ]
[ x3^3, x1*x2*x3^2, x2*x3*x2*x3, x3^2 ]
[ x1, x2*x3^2, x2*x3*x2*x3, x3^2 ]
[ x3*x2, x1, x2*x3*x2*x3, x3^2 ]
[ x1*x3^3, x2*x3^2, x2*x3*x2*x3, x3^2 ]
[ x3*x2, x1*x2*x3^2, x2*x3*x2*x3, x3^2 ]
[ x3^3, x1, x2*x3^2, x2*x3*x2*x3 ]
[ x3^3, x3^2*x1, x1*x3*x1*x3, x3^2 ]
[ x3^3, x2*x3^2*x1, x1*x3*x1*x3, x3^2 ]
[ x3^3, x2, x1*x3*x1*x3, x3^2 ]
[ x3^2*x1, x2*x3^2*x1, x1*x3*x1*x3, x3^2 ]
[ x2*x3*x1*x3^2, x3^2*x1, x1*x3*x1*x3, x3^2 ]
[ x3*x1*x3^2, x2*x3^2*x1, x1*x3*x1*x3, x3^2 ]
[ x2*x3*x1*x3^2, x2, x1*x3*x1*x3, x3^2 ]
[ x3^3, x3^2*x1, x2*x3^2*x1, x1*x3*x1*x3 ]
[ x3^3, x3^2*x1, x1*x3*x1*x3, x3^2 ]
[ x3^3, x2*x3^2*x1, x1*x3*x1*x3, x3^2 ]
[ x3^3, x2, x1*x3*x1*x3, x3^2 ]
[ x3^2*x1, x2*x3^2*x1, x1*x3*x1*x3, x3^2 ]
[ x2*x3*x1*x3^2, x3^2*x1, x1*x3*x1*x3, x3^2 ]
[ x3*x1*x3^2, x2*x3^2*x1, x1*x3*x1*x3, x3^2 ]
[ x2*x3*x1*x3^2, x2, x1*x3*x1*x3, x3^2 ]
[ x3^3, x3^2*x1, x2*x3^2*x1, x1*x3*x1*x3 ]
[ x3^3, x1, x2*x3*x2*x3, x3^2 ]
[ x3^3, x1*x2*x3^2, x2*x3*x2*x3, x3^2 ]
[ x3^3, x2*x3^2, x2*x3*x2*x3, x3^2 ]
[ x1, x1*x2*x3^2, x2*x3*x2*x3, x3^2 ]
[ x1*x3*x2, x1, x2*x3*x2*x3, x3^2 ]
[ x1*x3^3, x1*x2*x3^2, x2*x3*x2*x3, x3^2 ]
[ x1*x3*x2, x2*x3^2, x2*x3*x2*x3, x3^2 ]
[ x3^3, x1, x1*x2*x3^2, x2*x3*x2*x3 ]
[ x3^3, x1*x3^2, x2^2, x3^2 ]
[ x3^3, x2, x2^2, x3^2 ]
[ x3^3, x1*x2*x3^2, x2^2, x3^2 ]
[ x1*x3^2, x2, x2^2, x3^2 ]
[ x2^3*x3^3, x1*x3^2, x2^2, x3^2 ]
[ x3*x1, x2, x2^2, x3^2 ]
[ x2^3*x3^3, x1*x2*x3^2, x2^2, x3^2 ]
[ x3^3, x1*x3^2, x2, x2^2 ]
[ x3*x1*x3*x1*x3, x1, x2^2, x1*x3*x1*x3 ]
[ x3*x1*x3*x1*x3, x2, x2^2, x1*x3*x1*x3 ]
[ x3*x1*x3*x1*x3, x1*x2, x2^2, x1*x3*x1*x3 ]
[ x1, x2, x2^2, x1*x3*x1*x3 ]
[ x2^3*x3*x1*x3*x1*x3, x1, x2^2, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x1*x3, x2, x2^2, x1*x3*x1*x3 ]
[ x2^3*x3*x1*x3*x1*x3, x1*x2, x2^2, x1*x3*x1*x3 ]
[ x3*x1*x3*x1*x3, x1, x2, x2^2 ]
[ x2*x3*x2*x3^2, x2*x3*x2*x3*x1, x1*x2*x3*x1*x2*x3, x2*x3*x2*x3 ]
[ x2*x3*x2*x3^2, x3*x2*x3*x1, x1*x2*x3*x1*x2*x3, x2*x3*x2*x3 ]
[ x2*x3*x2*x3^2, x2, x1*x2*x3*x1*x2*x3, x2*x3*x2*x3 ]
[ x2*x3*x2*x3*x1, x3*x2*x3*x1, x1*x2*x3*x1*x2*x3, x2*x3*x2*x3 ]
[ x1*x2*x3, x2*x3*x2*x3*x1, x1*x2*x3*x1*x2*x3, x2*x3*x2*x3 ]
[ x1*x2*x3*x2, x3*x2*x3*x1, x1*x2*x3*x1*x2*x3, x2*x3*x2*x3 ]
[ x1*x2*x3, x2, x1*x2*x3*x1*x2*x3, x2*x3*x2*x3 ]
[ x2*x3*x2*x3^2, x2*x3*x2*x3*x1, x3*x2*x3*x1, x1*x2*x3*x1*x2*x3 ]
[ x3^3, x1*x3^2, x2^2, x3^2 ]
[ x3^3, x2, x2^2, x3^2 ]
[ x3^3, x1*x2*x3^2, x2^2, x3^2 ]
[ x1*x3^2, x2, x2^2, x3^2 ]
[ x2^3*x3^3, x1*x3^2, x2^2, x3^2 ]
[ x3*x1, x2, x2^2, x3^2 ]
[ x2^3*x3^3, x1*x2*x3^2, x2^2, x3^2 ]
[ x3^3, x1*x3^2, x2, x2^2 ]
[ x2*x3^3*x2, x1, x3^6, x2*x3^4*x2 ]
[ x2*x3^3*x2, x3^4*x2, x3^6, x2*x3^4*x2 ]
[ x2*x3^3*x2, x1*x3^4*x2, x3^6, x2*x3^4*x2 ]
[ x1, x3^4*x2, x3^6, x2*x3^4*x2 ]
[ x3*x2, x1, x3^6, x2*x3^4*x2 ]
[ x1*x2*x3^3*x2, x3^4*x2, x3^6, x2*x3^4*x2 ]
[ x3*x2, x1*x3^4*x2, x3^6, x2*x3^4*x2 ]
[ x2*x3^3*x2, x1, x3^4*x2, x3^6 ]
[ x1*x3^3*x1, x1*x3^4, x3^6, x1*x3^4*x1 ]
[ x1*x3^3*x1, x1*x2*x3^4, x3^6, x1*x3^4*x1 ]
[ x1*x3^3*x1, x2, x3^6, x1*x3^4*x1 ]
[ x1*x3^4, x1*x2*x3^4, x3^6, x1*x3^4*x1 ]
[ x2*x3^5*x1, x1*x3^4, x3^6, x1*x3^4*x1 ]
[ x3^5*x1, x1*x2*x3^4, x3^6, x1*x3^4*x1 ]
[ x2*x3^5*x1, x2, x3^6, x1*x3^4*x1 ]
[ x1*x3^3*x1, x1*x3^4, x1*x2*x3^4, x3^6 ]
[ x1*x3^3*x1, x1*x3^4, x3^6, x1*x3^4*x1 ]
[ x1*x3^3*x1, x1*x2*x3^4, x3^6, x1*x3^4*x1 ]
[ x1*x3^3*x1, x2, x3^6, x1*x3^4*x1 ]
[ x1*x3^4, x1*x2*x3^4, x3^6, x1*x3^4*x1 ]
[ x2*x3^5*x1, x1*x3^4, x3^6, x1*x3^4*x1 ]
[ x3^5*x1, x1*x2*x3^4, x3^6, x1*x3^4*x1 ]
[ x2*x3^5*x1, x2, x3^6, x1*x3^4*x1 ]
[ x1*x3^3*x1, x1*x3^4, x1*x2*x3^4, x3^6 ]
[ x3^3, x2*x3^2, x1^2, x3^2 ]
[ x3^3, x1, x1^2, x3^2 ]
[ x3^3, x1^3*x2*x3^2, x1^2, x3^2 ]
[ x2*x3^2, x1, x1^2, x3^2 ]
[ x1*x3^3, x2*x3^2, x1^2, x3^2 ]
[ x3*x2, x1, x1^2, x3^2 ]
[ x1*x3^3, x1^3*x2*x3^2, x1^2, x3^2 ]
[ x3^3, x2*x3^2, x1, x1^2 ]
[ x2*x3*x2, x1, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x2*x3*x2, x1*x3*x1*x2*x3, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x2*x3*x2, x3*x1*x2*x3, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x1, x1*x3*x1*x2*x3, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x1*x2*x3*x1*x2*x3*x2*x3, x1, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x2*x3*x1*x2, x1*x3*x1*x2*x3, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x1*x2*x3*x1*x2*x3*x2*x3, x3*x1*x2*x3, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x2*x3*x2, x1, x1*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x3^3, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1*x3*x1*x2*x3, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x3*x1*x2*x3, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1, x1*x3*x1*x2*x3, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1*x2*x3*x1*x3^2, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x1*x3^2, x1*x3*x1*x2*x3, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1*x2*x3*x1*x3^2, x3*x1*x2*x3, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1, x1*x3*x1*x2*x3, x1*x2*x3*x1*x2*x3 ]
[ x2*x1*x2^4*x3, x1, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x2*x1*x2^4*x3, x1*x2*x1*x2^4, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x2*x1*x2^4*x3, x2*x1*x2^4, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1, x1*x2*x1*x2^4, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x3, x1, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x2^4*x3, x1*x2*x1*x2^4, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x3, x2*x1*x2^4, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x2*x1*x2^4*x3, x1, x1*x2*x1*x2^4, x1*x2*x1*x2 ]
[ x1*x3^3, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1*x3^3, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1*x3^3, x1*x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1*x3*x2*x3^2, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1*x3*x2*x3^2, x1*x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1*x3^3, x1, x2, x1*x2*x3*x1*x2*x3 ]
[ x3^3, x1*x3^2, x1*x3*x1*x3, x3^2 ]
[ x3^3, x2*x3*x1*x3^3, x1*x3*x1*x3, x3^2 ]
[ x3^3, x1*x2*x3*x1*x3, x1*x3*x1*x3, x3^2 ]
[ x1*x3^2, x2*x3*x1*x3^3, x1*x3*x1*x3, x3^2 ]
[ x2*x3^2*x1*x3, x1*x3^2, x1*x3*x1*x3, x3^2 ]
[ x3*x1, x2*x3*x1*x3^3, x1*x3*x1*x3, x3^2 ]
[ x2*x3^2*x1*x3, x1*x2*x3*x1*x3, x1*x3*x1*x3, x3^2 ]
[ x3^3, x1*x3^2, x2*x3*x1*x3^3, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x1*x3, x1*x3*x1*x3*x1*x3*x1*x3*x1,
x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3, x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x1*x3*x1*x3*x1*x3, x2*x3*x1*x3, x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3,
x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x1*x3*x1*x3*x1*x3, x1*x2*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3,
x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3, x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x1*x3*x1*x3*x1*x3*x1*x3*x1, x2*x3*x1*x3, x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3
, x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x1*x2*x3*x1, x1*x3*x1*x3*x1*x3*x1*x3*x1, x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3
, x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x3*x1*x3*x1*x3*x1*x3*x1*x3, x2*x3*x1*x3, x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3
, x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x1*x2*x3*x1, x1*x2*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3,
x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3, x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x1*x3*x1*x3*x1*x3, x1*x3*x1*x3*x1*x3*x1*x3*x1, x2*x3*x1*x3,
x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3 ]
[ x3^3, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1*x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2*x3^2, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1*x3^3, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2*x3^2, x1*x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1, x2, x1*x2*x3*x1*x2*x3 ]
[ x2*x3*x2, x1, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x2*x3*x2, x3*x2*x3, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x2*x3*x2, x1*x3*x2*x3, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x1, x3*x2*x3, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x2*x3*x2*x3*x2*x3, x1, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x2*x3*x1*x2, x3*x2*x3, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x2*x3*x2*x3*x2*x3, x1*x3*x2*x3, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x2*x3*x2, x1, x3*x2*x3, x1*x3*x1*x3 ]
[ x1*x3, x1*x2*x1*x2*x1*x2, x1*x2*x1*x2*x1*x2*x1*x2*x1*x2*x1*x2,
x2*x1*x2*x1*x2*x1*x2*x1 ]
[ x1*x3, x1, x1*x2*x1*x2*x1*x2*x1*x2*x1*x2*x1*x2, x2*x1*x2*x1*x2*x1*x2*x1 ]
[ x1*x3, x1*x2*x1*x2*x1*x2*x1, x1*x2*x1*x2*x1*x2*x1*x2*x1*x2*x1*x2,
x2*x1*x2*x1*x2*x1*x2*x1 ]
[ x1*x2*x1*x2*x1*x2, x1, x1*x2*x1*x2*x1*x2*x1*x2*x1*x2*x1*x2,
x2*x1*x2*x1*x2*x1*x2*x1 ]
[ x3, x1*x2*x1*x2*x1*x2, x1*x2*x1*x2*x1*x2*x1*x2*x1*x2*x1*x2,
x2*x1*x2*x1*x2*x1*x2*x1 ]
[ x1*x2*x1*x2*x1*x2*x1*x3, x1, x1*x2*x1*x2*x1*x2*x1*x2*x1*x2*x1*x2,
x2*x1*x2*x1*x2*x1*x2*x1 ]
[ x3, x1*x2*x1*x2*x1*x2*x1, x1*x2*x1*x2*x1*x2*x1*x2*x1*x2*x1*x2,
x2*x1*x2*x1*x2*x1*x2*x1 ]
[ x1*x3, x1*x2*x1*x2*x1*x2, x1, x1*x2*x1*x2*x1*x2*x1*x2*x1*x2*x1*x2 ]
[ x1*x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x1*x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x1*x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x2, x1, x1*x2*x1*x2, x3^2 ]
[ x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x2*x1*x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x1*x3^3, x2, x1, x1*x2*x1*x2 ]
[ x1*x3^3, x1, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x1*x3^3, x3*x1*x3*x2, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x1*x3^3, x1*x3*x1*x3*x2, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x1, x3*x1*x3*x2, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x1*x2*x3*x1, x1, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x1*x3*x1*x3^2, x3*x1*x3*x2, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x1*x2*x3*x1, x1*x3*x1*x3*x2, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x1*x3^3, x1, x3*x1*x3*x2, x1*x2*x3*x1*x2*x3 ]
[ x2*x3^3, x1, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x2*x3^3, x2, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x2*x3^3, x1*x2, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x1, x2, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x1*x3*x1*x3^2, x1, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x2*x3*x1*x3^2, x2, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x1*x3*x1*x3^2, x1*x2, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x2*x3^3, x1, x2, x1*x2*x3*x1*x2*x3 ]
[ x3, x2^3, x1*x2*x1*x2, x2^2 ]
[ x3, x1, x1*x2*x1*x2, x2^2 ]
[ x3, x2^3*x1, x1*x2*x1*x2, x2^2 ]
[ x2^3, x1, x1*x2*x1*x2, x2^2 ]
[ x1*x3, x2^3, x1*x2*x1*x2, x2^2 ]
[ x1*x2^3*x1*x3, x1, x1*x2*x1*x2, x2^2 ]
[ x1*x3, x2^3*x1, x1*x2*x1*x2, x2^2 ]
[ x3, x2^3, x1, x1*x2*x1*x2 ]
[ x3*x2, x2*x3^2, x1^2, x3^2 ]
[ x3*x2, x1, x1^2, x3^2 ]
[ x3*x2, x1^3*x2*x3^2, x1^2, x3^2 ]
[ x2*x3^2, x1, x1^2, x3^2 ]
[ x1*x3*x2, x2*x3^2, x1^2, x3^2 ]
[ x3^3, x1, x1^2, x3^2 ]
[ x1*x3*x2, x1^3*x2*x3^2, x1^2, x3^2 ]
[ x3*x2, x2*x3^2, x1, x1^2 ]
[ x3*x2*x3*x2*x3, x2, x1^2, x2*x3*x2*x3 ]
[ x3*x2*x3*x2*x3, x1, x1^2, x2*x3*x2*x3 ]
[ x3*x2*x3*x2*x3, x1^3*x2, x1^2, x2*x3*x2*x3 ]
[ x2, x1, x1^2, x2*x3*x2*x3 ]
[ x1*x3*x2*x3*x2*x3, x2, x1^2, x2*x3*x2*x3 ]
[ x2*x3*x2*x3*x2*x3, x1, x1^2, x2*x3*x2*x3 ]
[ x1*x3*x2*x3*x2*x3, x1^3*x2, x1^2, x2*x3*x2*x3 ]
[ x3*x2*x3*x2*x3, x2, x1, x1^2 ]
[ x3, x1*x2^3*x1, x2^6, x1*x2^4*x1 ]
[ x3, x1, x2^6, x1*x2^4*x1 ]
[ x3, x1*x2^3, x2^6, x1*x2^4*x1 ]
[ x1*x2^3*x1, x1, x2^6, x1*x2^4*x1 ]
[ x1*x3, x1*x2^3*x1, x2^6, x1*x2^4*x1 ]
[ x1*x2^3*x1*x3, x1, x2^6, x1*x2^4*x1 ]
[ x1*x3, x1*x2^3, x2^6, x1*x2^4*x1 ]
[ x3, x1*x2^3*x1, x1, x2^6 ]
[ x3*x2, x2*x3^2, x1^2, x3^2 ]
[ x3*x2, x1, x1^2, x3^2 ]
[ x3*x2, x1^3*x2*x3^2, x1^2, x3^2 ]
[ x2*x3^2, x1, x1^2, x3^2 ]
[ x1*x3*x2, x2*x3^2, x1^2, x3^2 ]
[ x3^3, x1, x1^2, x3^2 ]
[ x1*x3*x2, x1^3*x2*x3^2, x1^2, x3^2 ]
[ x3*x2, x2*x3^2, x1, x1^2 ]
[ x3^3, x3^2*x1, x1*x3*x1*x3, x3^2 ]
[ x3^3, x2*x3^2*x1, x1*x3*x1*x3, x3^2 ]
[ x3^3, x2, x1*x3*x1*x3, x3^2 ]
[ x3^2*x1, x2*x3^2*x1, x1*x3*x1*x3, x3^2 ]
[ x1*x2*x3, x3^2*x1, x1*x3*x1*x3, x3^2 ]
[ x1*x2*x3*x2, x2*x3^2*x1, x1*x3*x1*x3, x3^2 ]
[ x1*x2*x3, x2, x1*x3*x1*x3, x3^2 ]
[ x3^3, x3^2*x1, x2*x3^2*x1, x1*x3*x1*x3 ]
[ x2*x3*x2*x3^2, x2*x3*x2*x3*x1, x1*x2*x3*x1*x2*x3, x2*x3*x2*x3 ]
[ x2*x3*x2*x3^2, x3*x2*x3*x1, x1*x2*x3*x1*x2*x3, x2*x3*x2*x3 ]
[ x2*x3*x2*x3^2, x2, x1*x2*x3*x1*x2*x3, x2*x3*x2*x3 ]
[ x2*x3*x2*x3*x1, x3*x2*x3*x1, x1*x2*x3*x1*x2*x3, x2*x3*x2*x3 ]
[ x1*x2*x3, x2*x3*x2*x3*x1, x1*x2*x3*x1*x2*x3, x2*x3*x2*x3 ]
[ x1*x2*x3*x2, x3*x2*x3*x1, x1*x2*x3*x1*x2*x3, x2*x3*x2*x3 ]
[ x1*x2*x3, x2, x1*x2*x3*x1*x2*x3, x2*x3*x2*x3 ]
[ x2*x3*x2*x3^2, x2*x3*x2*x3*x1, x3*x2*x3*x1, x1*x2*x3*x1*x2*x3 ]
[ x2*x3*x2*x3^2, x2*x3*x2*x3*x1, x1*x2*x3*x1*x2*x3, x2*x3*x2*x3 ]
[ x2*x3*x2*x3^2, x3*x2*x3*x1, x1*x2*x3*x1*x2*x3, x2*x3*x2*x3 ]
[ x2*x3*x2*x3^2, x2, x1*x2*x3*x1*x2*x3, x2*x3*x2*x3 ]
[ x2*x3*x2*x3*x1, x3*x2*x3*x1, x1*x2*x3*x1*x2*x3, x2*x3*x2*x3 ]
[ x1*x2*x3, x2*x3*x2*x3*x1, x1*x2*x3*x1*x2*x3, x2*x3*x2*x3 ]
[ x1*x2*x3*x2, x3*x2*x3*x1, x1*x2*x3*x1*x2*x3, x2*x3*x2*x3 ]
[ x1*x2*x3, x2, x1*x2*x3*x1*x2*x3, x2*x3*x2*x3 ]
[ x2*x3*x2*x3^2, x2*x3*x2*x3*x1, x3*x2*x3*x1, x1*x2*x3*x1*x2*x3 ]
[ x3^3, x3^2*x1, x1*x3*x1*x3, x3^2 ]
[ x3^3, x2*x3^2*x1, x1*x3*x1*x3, x3^2 ]
[ x3^3, x2, x1*x3*x1*x3, x3^2 ]
[ x3^2*x1, x2*x3^2*x1, x1*x3*x1*x3, x3^2 ]
[ x1*x2*x3, x3^2*x1, x1*x3*x1*x3, x3^2 ]
[ x1*x2*x3*x2, x2*x3^2*x1, x1*x3*x1*x3, x3^2 ]
[ x1*x2*x3, x2, x1*x3*x1*x3, x3^2 ]
[ x3^3, x3^2*x1, x2*x3^2*x1, x1*x3*x1*x3 ]
[ x3^3, x1*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1*x3^2, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2*x3^2, x1*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x1, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2*x3^2, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1*x3^2, x2, x1*x2*x3*x1*x2*x3 ]
[ x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x2, x1, x1*x2*x1*x2, x3^2 ]
[ x1*x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x2*x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x1*x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x3^3, x2, x1, x1*x2*x1*x2 ]
[ x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x2, x1, x1*x2*x1*x2, x3^2 ]
[ x1*x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x1*x2*x1*x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x1*x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x3^3, x2, x1, x1*x2*x1*x2 ]
[ x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x2, x1, x1*x2*x1*x2, x3^2 ]
[ x1*x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x1*x2*x1*x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x1*x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x3^3, x2, x1, x1*x2*x1*x2 ]
[ x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x2, x1, x1*x2*x1*x2, x3^2 ]
[ x1*x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x2*x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x1*x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x3^3, x2, x1, x1*x2*x1*x2 ]
[ x3^3, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1*x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2*x3^2, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1*x3^3, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2*x3^2, x1*x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1, x2, x1*x2*x3*x1*x2*x3 ]
[ x3^3, x2*x3^2, x1^2, x3^2 ]
[ x3^3, x1, x1^2, x3^2 ]
[ x3^3, x1^3*x2*x3^2, x1^2, x3^2 ]
[ x2*x3^2, x1, x1^2, x3^2 ]
[ x1*x3^3, x2*x3^2, x1^2, x3^2 ]
[ x3*x2, x1, x1^2, x3^2 ]
[ x1*x3^3, x1^3*x2*x3^2, x1^2, x3^2 ]
[ x3^3, x2*x3^2, x1, x1^2 ]
[ x1*x3^3*x1, x1*x3^4, x3^6, x1*x3^4*x1 ]
[ x1*x3^3*x1, x1*x2*x3^4, x3^6, x1*x3^4*x1 ]
[ x1*x3^3*x1, x2, x3^6, x1*x3^4*x1 ]
[ x1*x3^4, x1*x2*x3^4, x3^6, x1*x3^4*x1 ]
[ x2*x3^5*x1, x1*x3^4, x3^6, x1*x3^4*x1 ]
[ x3^5*x1, x1*x2*x3^4, x3^6, x1*x3^4*x1 ]
[ x2*x3^5*x1, x2, x3^6, x1*x3^4*x1 ]
[ x1*x3^3*x1, x1*x3^4, x1*x2*x3^4, x3^6 ]
[ x3^3, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1*x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2*x3^2, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1*x3^3, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2*x3^2, x1*x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1, x2, x1*x2*x3*x1*x2*x3 ]
[ x3^3, x1*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1*x3^2, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2*x3^2, x1*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x1, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2*x3^2, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1*x3^2, x2, x1*x2*x3*x1*x2*x3 ]
[ x1^3*x3*x2*x3*x2*x3, x1, x1^2, x2*x3*x2*x3 ]
[ x1^3*x3*x2*x3*x2*x3, x2, x1^2, x2*x3*x2*x3 ]
[ x1^3*x3*x2*x3*x2*x3, x1*x2, x1^2, x2*x3*x2*x3 ]
[ x1, x2, x1^2, x2*x3*x2*x3 ]
[ x1^3*x2*x3*x2*x3*x2*x3, x1, x1^2, x2*x3*x2*x3 ]
[ x1^2*x3*x2*x3*x2*x3, x2, x1^2, x2*x3*x2*x3 ]
[ x1^3*x2*x3*x2*x3*x2*x3, x1*x2, x1^2, x2*x3*x2*x3 ]
[ x1^3*x3*x2*x3*x2*x3, x1, x2, x1^2 ]
[ x1*x3*x1*x3^2, x1, x2*x3*x2*x3, x1*x3*x1*x3 ]
[ x1*x3*x1*x3^2, x2, x2*x3*x2*x3, x1*x3*x1*x3 ]
[ x1*x3*x1*x3^2, x1*x2, x2*x3*x2*x3, x1*x3*x1*x3 ]
[ x1, x2, x2*x3*x2*x3, x1*x3*x1*x3 ]
[ x1*x2*x3*x1*x3^2, x1, x2*x3*x2*x3, x1*x3*x1*x3 ]
[ x1*x3^3, x2, x2*x3*x2*x3, x1*x3*x1*x3 ]
[ x1*x2*x3*x1*x3^2, x1*x2, x2*x3*x2*x3, x1*x3*x1*x3 ]
[ x1*x3*x1*x3^2, x1, x2, x2*x3*x2*x3 ]
[ x2*x3^3, x1, x3^6, x2*x3^4*x2 ]
[ x2*x3^3, x2, x3^6, x2*x3^4*x2 ]
[ x2*x3^3, x1*x2, x3^6, x2*x3^4*x2 ]
[ x1, x2, x3^6, x2*x3^4*x2 ]
[ x2*x3^3*x2, x1, x3^6, x2*x3^4*x2 ]
[ x1*x2*x3^3, x2, x3^6, x2*x3^4*x2 ]
[ x2*x3^3*x2, x1*x2, x3^6, x2*x3^4*x2 ]
[ x2*x3^3, x1, x2, x3^6 ]
[ x1*x2*x3^3*x2, x1, x3^6, x2*x3^4*x2 ]
[ x1*x2*x3^3*x2, x1*x2*x3^4, x3^6, x2*x3^4*x2 ]
[ x1*x2*x3^3*x2, x2*x3^4, x3^6, x2*x3^4*x2 ]
[ x1, x1*x2*x3^4, x3^6, x2*x3^4*x2 ]
[ x3^5*x2, x1, x3^6, x2*x3^4*x2 ]
[ x2*x3^3*x2, x1*x2*x3^4, x3^6, x2*x3^4*x2 ]
[ x3^5*x2, x2*x3^4, x3^6, x2*x3^4*x2 ]
[ x1*x2*x3^3*x2, x1, x1*x2*x3^4, x3^6 ]
[ x3^5*x1, x1*x3^4, x3^6, x1*x3^4*x1 ]
[ x3^5*x1, x1*x2*x3^4, x3^6, x1*x3^4*x1 ]
[ x3^5*x1, x2, x3^6, x1*x3^4*x1 ]
[ x1*x3^4, x1*x2*x3^4, x3^6, x1*x3^4*x1 ]
[ x1*x2*x3^3*x1, x1*x3^4, x3^6, x1*x3^4*x1 ]
[ x1*x3^3*x1, x1*x2*x3^4, x3^6, x1*x3^4*x1 ]
[ x1*x2*x3^3*x1, x2, x3^6, x1*x3^4*x1 ]
[ x3^5*x1, x1*x3^4, x1*x2*x3^4, x3^6 ]
[ x3^3, x2, x1^2, x3^2 ]
[ x3^3, x1, x1^2, x3^2 ]
[ x3^3, x1^3*x2, x1^2, x3^2 ]
[ x2, x1, x1^2, x3^2 ]
[ x1*x3^3, x2, x1^2, x3^2 ]
[ x2*x3^3, x1, x1^2, x3^2 ]
[ x1*x3^3, x1^3*x2, x1^2, x3^2 ]
[ x3^3, x2, x1, x1^2 ]
[ x3^3, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1*x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2*x3^2, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1*x3^3, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2*x3^2, x1*x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1, x2, x1*x2*x3*x1*x2*x3 ]
[ x3^3, x1*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1*x3*x1*x2*x3, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1*x3*x2*x3, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1*x3^2, x1*x3*x1*x2*x3, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x2*x3^3, x1*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x1, x1*x3*x1*x2*x3, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x2*x3^3, x1*x3*x2*x3, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1*x3^2, x1*x3*x1*x2*x3, x1*x2*x3*x1*x2*x3 ]
[ x1*x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x1*x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x1*x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x2*x1, x1, x1*x2*x1*x2, x3^2 ]
[ x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x2*x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x1*x3^3, x2*x1, x1, x1*x2*x1*x2 ]
[ x1*x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x1*x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x1*x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x2, x1, x1*x2*x1*x2, x3^2 ]
[ x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x2*x1*x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x1*x3^3, x2, x1, x1*x2*x1*x2 ]
[ x1*x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x1*x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x1*x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x2*x1, x1, x1*x2*x1*x2, x3^2 ]
[ x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x2*x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x1*x3^3, x2*x1, x1, x1*x2*x1*x2 ]
[ x3*x1*x3*x1*x3, x1, x2*x3*x2*x3, x1*x3*x1*x3 ]
[ x3*x1*x3*x1*x3, x3*x2*x3, x2*x3*x2*x3, x1*x3*x1*x3 ]
[ x3*x1*x3*x1*x3, x1*x3*x2*x3, x2*x3*x2*x3, x1*x3*x1*x3 ]
[ x1, x3*x2*x3, x2*x3*x2*x3, x1*x3*x1*x3 ]
[ x2*x3*x1*x3*x1*x3, x1, x2*x3*x2*x3, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x1*x3, x3*x2*x3, x2*x3*x2*x3, x1*x3*x1*x3 ]
[ x2*x3*x1*x3*x1*x3, x1*x3*x2*x3, x2*x3*x2*x3, x1*x3*x1*x3 ]
[ x3*x1*x3*x1*x3, x1, x3*x2*x3, x2*x3*x2*x3 ]
[ x3^3, x1*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1*x3*x1*x2*x3, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1*x3*x2*x3, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1*x3^2, x1*x3*x1*x2*x3, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x2*x3^3, x1*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x1, x1*x3*x1*x2*x3, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x2*x3^3, x1*x3*x2*x3, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1*x3^2, x1*x3*x1*x2*x3, x1*x2*x3*x1*x2*x3 ]
[ x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x2, x1, x1*x2*x1*x2, x3^2 ]
[ x1*x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x2*x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x1*x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x3^3, x2, x1, x1*x2*x1*x2 ]
[ x3^3, x1, x2*x3*x2*x3, x3^2 ]
[ x3^3, x2, x2*x3*x2*x3, x3^2 ]
[ x3^3, x1*x2, x2*x3*x2*x3, x3^2 ]
[ x1, x2, x2*x3*x2*x3, x3^2 ]
[ x3^3*x2, x1, x2*x3*x2*x3, x3^2 ]
[ x1*x3^3, x2, x2*x3*x2*x3, x3^2 ]
[ x3^3*x2, x1*x2, x2*x3*x2*x3, x3^2 ]
[ x3^3, x1, x2, x2*x3*x2*x3 ]
[ x3^3, x1, x1*x3*x1*x3, x3^2 ]
[ x3^3, x2, x1*x3*x1*x3, x3^2 ]
[ x3^3, x1*x2, x1*x3*x1*x3, x3^2 ]
[ x1, x2, x1*x3*x1*x3, x3^2 ]
[ x2*x3^3, x1, x1*x3*x1*x3, x3^2 ]
[ x3^3*x1, x2, x1*x3*x1*x3, x3^2 ]
[ x2*x3^3, x1*x2, x1*x3*x1*x3, x3^2 ]
[ x3^3, x1, x2, x1*x3*x1*x3 ]
[ x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x2, x1, x1*x2*x1*x2, x3^2 ]
[ x1*x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x2*x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x1*x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x3^3, x2, x1, x1*x2*x1*x2 ]
[ x3^3, x1*x3^2, x2^2, x3^2 ]
[ x3^3, x2, x2^2, x3^2 ]
[ x3^3, x1*x2*x3^2, x2^2, x3^2 ]
[ x1*x3^2, x2, x2^2, x3^2 ]
[ x2^3*x3^3, x1*x3^2, x2^2, x3^2 ]
[ x3*x1, x2, x2^2, x3^2 ]
[ x2^3*x3^3, x1*x2*x3^2, x2^2, x3^2 ]
[ x3^3, x1*x3^2, x2, x2^2 ]
[ x1*x3^3, x2, x2^2, x3^2 ]
[ x1*x3^3, x1, x2^2, x3^2 ]
[ x1*x3^3, x2*x1, x2^2, x3^2 ]
[ x2, x1, x2^2, x3^2 ]
[ x3^3, x2, x2^2, x3^2 ]
[ x2*x1*x3^3, x1, x2^2, x3^2 ]
[ x3^3, x2*x1, x2^2, x3^2 ]
[ x1*x3^3, x2, x1, x2^2 ]
[ x3^3, x1*x3^2, x1*x3*x1*x3, x3^2 ]
[ x3^3, x1*x2*x3^2, x1*x3*x1*x3, x3^2 ]
[ x3^3, x2, x1*x3*x1*x3, x3^2 ]
[ x1*x3^2, x1*x2*x3^2, x1*x3*x1*x3, x3^2 ]
[ x2*x3*x1, x1*x3^2, x1*x3*x1*x3, x3^2 ]
[ x3*x1, x1*x2*x3^2, x1*x3*x1*x3, x3^2 ]
[ x2*x3*x1, x2, x1*x3*x1*x3, x3^2 ]
[ x3^3, x1*x3^2, x1*x2*x3^2, x1*x3*x1*x3 ]
[ x1*x3*x1, x2*x3*x1*x2*x3, x2*x3*x2*x3, x1*x3*x1*x3 ]
[ x1*x3*x1, x2, x2*x3*x2*x3, x1*x3*x1*x3 ]
[ x1*x3*x1, x3*x1*x2*x3, x2*x3*x2*x3, x1*x3*x1*x3 ]
[ x2*x3*x1*x2*x3, x2, x2*x3*x2*x3, x1*x3*x1*x3 ]
[ x1*x3*x1*x2, x2*x3*x1*x2*x3, x2*x3*x2*x3, x1*x3*x1*x3 ]
[ x1*x2*x3*x1*x2*x3*x1*x3, x2, x2*x3*x2*x3, x1*x3*x1*x3 ]
[ x1*x3*x1*x2, x3*x1*x2*x3, x2*x3*x2*x3, x1*x3*x1*x3 ]
[ x1*x3*x1, x2*x3*x1*x2*x3, x2, x2*x3*x2*x3 ]
[ x3^3, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x2*x3*x1*x2*x3, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x3*x1*x2*x3, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x2, x2*x3*x1*x2*x3, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1*x2*x3*x2*x3^2, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2*x3^2, x2*x3*x1*x2*x3, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1*x2*x3*x2*x3^2, x3*x1*x2*x3, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x2, x2*x3*x1*x2*x3, x1*x2*x3*x1*x2*x3 ]
[ x3^3, x1*x3^2, x1*x3*x1*x3, x3^2 ]
[ x3^3, x1*x3*x1*x2*x3, x1*x3*x1*x3, x3^2 ]
[ x3^3, x2*x3*x1*x3, x1*x3*x1*x3, x3^2 ]
[ x1*x3^2, x1*x3*x1*x2*x3, x1*x3*x1*x3, x3^2 ]
[ x1*x2*x3*x1, x1*x3^2, x1*x3*x1*x3, x3^2 ]
[ x3*x1, x1*x3*x1*x2*x3, x1*x3*x1*x3, x3^2 ]
[ x1*x2*x3*x1, x2*x3*x1*x3, x1*x3*x1*x3, x3^2 ]
[ x3^3, x1*x3^2, x1*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x3^3, x1*x3^2, x1*x3*x1*x3, x3^2 ]
[ x3^3, x1*x2*x3^2, x1*x3*x1*x3, x3^2 ]
[ x3^3, x2, x1*x3*x1*x3, x3^2 ]
[ x1*x3^2, x1*x2*x3^2, x1*x3*x1*x3, x3^2 ]
[ x2*x3*x1, x1*x3^2, x1*x3*x1*x3, x3^2 ]
[ x3*x1, x1*x2*x3^2, x1*x3*x1*x3, x3^2 ]
[ x2*x3*x1, x2, x1*x3*x1*x3, x3^2 ]
[ x3^3, x1*x3^2, x1*x2*x3^2, x1*x3*x1*x3 ]
[ x3^3, x1*x3^2, x1*x3*x1*x3, x3^2 ]
[ x3^3, x1*x2*x3^2, x1*x3*x1*x3, x3^2 ]
[ x3^3, x2, x1*x3*x1*x3, x3^2 ]
[ x1*x3^2, x1*x2*x3^2, x1*x3*x1*x3, x3^2 ]
[ x2*x3*x1, x1*x3^2, x1*x3*x1*x3, x3^2 ]
[ x3*x1, x1*x2*x3^2, x1*x3*x1*x3, x3^2 ]
[ x2*x3*x1, x2, x1*x3*x1*x3, x3^2 ]
[ x3^3, x1*x3^2, x1*x2*x3^2, x1*x3*x1*x3 ]
[ x2*x3*x2*x3^2, x1*x2*x3*x2*x3, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x2*x3*x2*x3^2, x1*x2*x3^2, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x2*x3*x2*x3^2, x1*x2*x3*x1*x3, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x1*x2*x3*x2*x3, x1*x2*x3^2, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x2*x3*x1, x1*x2*x3*x2*x3, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x3*x1, x1*x2*x3^2, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x2*x3*x1, x1*x2*x3*x1*x3, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x2*x3*x2*x3^2, x1*x2*x3*x2*x3, x1*x2*x3^2, x1*x3*x1*x3 ]
[ x3^3, x1, x2*x3*x2*x3, x3^2 ]
[ x3^3, x3*x2*x3, x2*x3*x2*x3, x3^2 ]
[ x3^3, x1*x3*x2*x3, x2*x3*x2*x3, x3^2 ]
[ x1, x3*x2*x3, x2*x3*x2*x3, x3^2 ]
[ x2*x3^3, x1, x2*x3*x2*x3, x3^2 ]
[ x1*x3^3, x3*x2*x3, x2*x3*x2*x3, x3^2 ]
[ x2*x3^3, x1*x3*x2*x3, x2*x3*x2*x3, x3^2 ]
[ x3^3, x1, x3*x2*x3, x2*x3*x2*x3 ]
[ x3^3*x1, x1, x1*x3*x1*x3, x3^2 ]
[ x3^3*x1, x2, x1*x3*x1*x3, x3^2 ]
[ x3^3*x1, x1*x2, x1*x3*x1*x3, x3^2 ]
[ x1, x2, x1*x3*x1*x3, x3^2 ]
[ x2*x3^3*x1, x1, x1*x3*x1*x3, x3^2 ]
[ x3^3, x2, x1*x3*x1*x3, x3^2 ]
[ x2*x3^3*x1, x1*x2, x1*x3*x1*x3, x3^2 ]
[ x3^3*x1, x1, x2, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x1*x3, x1*x3*x1*x3*x1*x3*x1*x3*x1,
x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3, x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x1*x3*x1*x3*x1*x3, x1*x2*x3*x1*x3*x1*x3*x1*x3*x1,
x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3, x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x1*x3*x1*x3*x1*x3, x2, x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3,
x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x1*x3*x1*x3*x1*x3*x1*x3*x1, x1*x2*x3*x1*x3*x1*x3*x1*x3*x1,
x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3, x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x2*x3*x1*x3*x1*x3*x1*x3*x1*x3, x1*x3*x1*x3*x1*x3*x1*x3*x1,
x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3, x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x3*x1*x3*x1*x3*x1*x3*x1*x3, x1*x2*x3*x1*x3*x1*x3*x1*x3*x1,
x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3, x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x2*x3*x1*x3*x1*x3*x1*x3*x1*x3, x2, x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3,
x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x1*x3*x1*x3*x1*x3, x1*x3*x1*x3*x1*x3*x1*x3*x1,
x1*x2*x3*x1*x3*x1*x3*x1*x3*x1, x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3 ]
[ x2*x3*x1*x3*x1*x3*x1*x3*x1*x3, x1*x3*x1*x3*x1*x3*x1*x3*x1,
x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3, x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x2*x3*x1*x3*x1*x3*x1*x3*x1*x3, x1*x2*x3*x1*x3*x1*x3*x1*x3*x1,
x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3, x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x2*x3*x1*x3*x1*x3*x1*x3*x1*x3, x2, x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3,
x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x1*x3*x1*x3*x1*x3*x1*x3*x1, x1*x2*x3*x1*x3*x1*x3*x1*x3*x1,
x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3, x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x1*x3*x1*x3*x1*x3, x1*x3*x1*x3*x1*x3*x1*x3*x1,
x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3, x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x1*x2*x3*x1*x3*x1*x3, x1*x2*x3*x1*x3*x1*x3*x1*x3*x1,
x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3, x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x1*x3*x1*x3*x1*x3, x2, x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3,
x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x2*x3*x1*x3*x1*x3*x1*x3*x1*x3, x1*x3*x1*x3*x1*x3*x1*x3*x1,
x1*x2*x3*x1*x3*x1*x3*x1*x3*x1, x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3 ]
[ x3^3, x1^2*x2, x1^2, x3^2 ]
[ x3^3, x1, x1^2, x3^2 ]
[ x3^3, x1*x2, x1^2, x3^2 ]
[ x1^2*x2, x1, x1^2, x3^2 ]
[ x1*x3^3, x1^2*x2, x1^2, x3^2 ]
[ x1^2*x2*x3^3, x1, x1^2, x3^2 ]
[ x1*x3^3, x1*x2, x1^2, x3^2 ]
[ x3^3, x1^2*x2, x1, x1^2 ]
[ x3, x1, x2*x3*x2*x3*x2*x3*x2*x3*x2*x3*x2*x3, x3*x2*x3*x2*x3*x2*x3*x2 ]
[ x3, x1*x3*x2*x3*x2*x3*x2*x3, x2*x3*x2*x3*x2*x3*x2*x3*x2*x3*x2*x3,
x3*x2*x3*x2*x3*x2*x3*x2 ]
[ x3, x3*x2*x3*x2*x3*x2*x3, x2*x3*x2*x3*x2*x3*x2*x3*x2*x3*x2*x3,
x3*x2*x3*x2*x3*x2*x3*x2 ]
[ x1, x1*x3*x2*x3*x2*x3*x2*x3, x2*x3*x2*x3*x2*x3*x2*x3*x2*x3*x2*x3,
x3*x2*x3*x2*x3*x2*x3*x2 ]
[ x1*x2*x3*x2*x3*x2*x3, x1, x2*x3*x2*x3*x2*x3*x2*x3*x2*x3*x2*x3,
x3*x2*x3*x2*x3*x2*x3*x2 ]
[ x1*x3, x1*x3*x2*x3*x2*x3*x2*x3, x2*x3*x2*x3*x2*x3*x2*x3*x2*x3*x2*x3,
x3*x2*x3*x2*x3*x2*x3*x2 ]
[ x1*x2*x3*x2*x3*x2*x3, x3*x2*x3*x2*x3*x2*x3,
x2*x3*x2*x3*x2*x3*x2*x3*x2*x3*x2*x3, x3*x2*x3*x2*x3*x2*x3*x2 ]
[ x3, x1, x1*x3*x2*x3*x2*x3*x2*x3, x2*x3*x2*x3*x2*x3*x2*x3*x2*x3*x2*x3 ]
[ x3^3, x1*x3^2, x1*x3*x1*x3, x3^2 ]
[ x3^3, x1*x3*x2*x3, x1*x3*x1*x3, x3^2 ]
[ x3^3, x1*x2*x3*x1*x3, x1*x3*x1*x3, x3^2 ]
[ x1*x3^2, x1*x3*x2*x3, x1*x3*x1*x3, x3^2 ]
[ x2*x3*x1, x1*x3^2, x1*x3*x1*x3, x3^2 ]
[ x3*x1, x1*x3*x2*x3, x1*x3*x1*x3, x3^2 ]
[ x2*x3*x1, x1*x2*x3*x1*x3, x1*x3*x1*x3, x3^2 ]
[ x3^3, x1*x3^2, x1*x3*x2*x3, x1*x3*x1*x3 ]
[ x3^3, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1*x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2*x3^2, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1*x3^3, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2*x3^2, x1*x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1, x2, x1*x2*x3*x1*x2*x3 ]
[ x1*x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x1*x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x1*x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x2, x1, x1*x2*x1*x2, x3^2 ]
[ x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x2*x1*x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x1*x3^3, x2, x1, x1*x2*x1*x2 ]
[ x2*x3*x2*x3^2, x1*x2*x3*x2*x3, x1*x2*x3*x1*x2*x3, x2*x3*x2*x3 ]
[ x2*x3*x2*x3^2, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x2*x3*x2*x3 ]
[ x2*x3*x2*x3^2, x1*x3*x1*x2*x3, x1*x2*x3*x1*x2*x3, x2*x3*x2*x3 ]
[ x1*x2*x3*x2*x3, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x2*x3*x2*x3 ]
[ x2*x3*x1, x1*x2*x3*x2*x3, x1*x2*x3*x1*x2*x3, x2*x3*x2*x3 ]
[ x3*x1, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x2*x3*x2*x3 ]
[ x2*x3*x1, x1*x3*x1*x2*x3, x1*x2*x3*x1*x2*x3, x2*x3*x2*x3 ]
[ x2*x3*x2*x3^2, x1*x2*x3*x2*x3, x1*x2*x3^2, x1*x2*x3*x1*x2*x3 ]
[ x3^3, x1*x3^2, x1*x3*x1*x3, x3^2 ]
[ x3^3, x1*x2*x3^2, x1*x3*x1*x3, x3^2 ]
[ x3^3, x2, x1*x3*x1*x3, x3^2 ]
[ x1*x3^2, x1*x2*x3^2, x1*x3*x1*x3, x3^2 ]
[ x2*x3*x1, x1*x3^2, x1*x3*x1*x3, x3^2 ]
[ x3*x1, x1*x2*x3^2, x1*x3*x1*x3, x3^2 ]
[ x2*x3*x1, x2, x1*x3*x1*x3, x3^2 ]
[ x3^3, x1*x3^2, x1*x2*x3^2, x1*x3*x1*x3 ]
[ x3^3, x1*x3^2, x1*x3*x1*x3, x3^2 ]
[ x3^3, x1*x2*x3^2, x1*x3*x1*x3, x3^2 ]
[ x3^3, x2, x1*x3*x1*x3, x3^2 ]
[ x1*x3^2, x1*x2*x3^2, x1*x3*x1*x3, x3^2 ]
[ x2*x3*x1, x1*x3^2, x1*x3*x1*x3, x3^2 ]
[ x3*x1, x1*x2*x3^2, x1*x3*x1*x3, x3^2 ]
[ x2*x3*x1, x2, x1*x3*x1*x3, x3^2 ]
[ x3^3, x1*x3^2, x1*x2*x3^2, x1*x3*x1*x3 ]
[ x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x3^3, x2*x1*x2*x3^2, x1*x2*x1*x2, x3^2 ]
[ x3^3, x1*x2*x3^2, x1*x2*x1*x2, x3^2 ]
[ x2, x2*x1*x2*x3^2, x1*x2*x1*x2, x3^2 ]
[ x1*x2*x1*x2*x3*x1, x2, x1*x2*x1*x2, x3^2 ]
[ x2*x3^3, x2*x1*x2*x3^2, x1*x2*x1*x2, x3^2 ]
[ x1*x2*x1*x2*x3*x1, x1*x2*x3^2, x1*x2*x1*x2, x3^2 ]
[ x3^3, x2, x2*x1*x2*x3^2, x1*x2*x1*x2 ]
[ x3^3, x1^3*x2, x1^2, x3^2 ]
[ x3^3, x1, x1^2, x3^2 ]
[ x3^3, x1^2*x2, x1^2, x3^2 ]
[ x1^3*x2, x1, x1^2, x3^2 ]
[ x1*x3^3, x1^3*x2, x1^2, x3^2 ]
[ x1^3*x2*x3^3, x1, x1^2, x3^2 ]
[ x1*x3^3, x1^2*x2, x1^2, x3^2 ]
[ x3^3, x1^3*x2, x1, x1^2 ]
[ x2*x3*x2*x3*x2*x3, x2, x1^2, x2*x3*x2*x3 ]
[ x2*x3*x2*x3*x2*x3, x1, x1^2, x2*x3*x2*x3 ]
[ x2*x3*x2*x3*x2*x3, x1^3*x2, x1^2, x2*x3*x2*x3 ]
[ x2, x1, x1^2, x2*x3*x2*x3 ]
[ x1^3*x2*x3*x2*x3*x2*x3, x2, x1^2, x2*x3*x2*x3 ]
[ x3*x2*x3*x2*x3, x1, x1^2, x2*x3*x2*x3 ]
[ x1^3*x2*x3*x2*x3*x2*x3, x1^3*x2, x1^2, x2*x3*x2*x3 ]
[ x2*x3*x2*x3*x2*x3, x2, x1, x1^2 ]
[ x3^3, x1, x1*x3*x1*x3, x3^2 ]
[ x3^3, x2, x1*x3*x1*x3, x3^2 ]
[ x3^3, x1*x2, x1*x3*x1*x3, x3^2 ]
[ x1, x2, x1*x3*x1*x3, x3^2 ]
[ x2*x3^3, x1, x1*x3*x1*x3, x3^2 ]
[ x3^3*x1, x2, x1*x3*x1*x3, x3^2 ]
[ x2*x3^3, x1*x2, x1*x3*x1*x3, x3^2 ]
[ x3^3, x1, x2, x1*x3*x1*x3 ]
[ x3^3*x1, x1, x1*x3*x1*x3, x3^2 ]
[ x3^3*x1, x2, x1*x3*x1*x3, x3^2 ]
[ x3^3*x1, x1*x2, x1*x3*x1*x3, x3^2 ]
[ x1, x2, x1*x3*x1*x3, x3^2 ]
[ x2*x3^3*x1, x1, x1*x3*x1*x3, x3^2 ]
[ x3^3, x2, x1*x3*x1*x3, x3^2 ]
[ x2*x3^3*x1, x1*x2, x1*x3*x1*x3, x3^2 ]
[ x3^3*x1, x1, x2, x1*x3*x1*x3 ]
[ x3, x2^3, x1*x2*x1*x2, x2^2 ]
[ x3, x1, x1*x2*x1*x2, x2^2 ]
[ x3, x2^3*x1, x1*x2*x1*x2, x2^2 ]
[ x2^3, x1, x1*x2*x1*x2, x2^2 ]
[ x1*x3, x2^3, x1*x2*x1*x2, x2^2 ]
[ x1*x2^3*x1*x3, x1, x1*x2*x1*x2, x2^2 ]
[ x1*x3, x2^3*x1, x1*x2*x1*x2, x2^2 ]
[ x3, x2^3, x1, x1*x2*x1*x2 ]
[ x3*x2*x3*x2*x3, x2, x1*x2*x1*x2, x2*x3*x2*x3 ]
[ x3*x2*x3*x2*x3, x2*x1*x2, x1*x2*x1*x2, x2*x3*x2*x3 ]
[ x3*x2*x3*x2*x3, x1*x2, x1*x2*x1*x2, x2*x3*x2*x3 ]
[ x2, x2*x1*x2, x1*x2*x1*x2, x2*x3*x2*x3 ]
[ x1*x3*x2*x3*x2*x3, x2, x1*x2*x1*x2, x2*x3*x2*x3 ]
[ x2*x3*x2*x3*x2*x3, x2*x1*x2, x1*x2*x1*x2, x2*x3*x2*x3 ]
[ x1*x3*x2*x3*x2*x3, x1*x2, x1*x2*x1*x2, x2*x3*x2*x3 ]
[ x3*x2*x3*x2*x3, x2, x2*x1*x2, x1*x2*x1*x2 ]
[ x3*x2*x3*x2*x3, x2, x1^2, x2*x3*x2*x3 ]
[ x3*x2*x3*x2*x3, x1, x1^2, x2*x3*x2*x3 ]
[ x3*x2*x3*x2*x3, x1^3*x2, x1^2, x2*x3*x2*x3 ]
[ x2, x1, x1^2, x2*x3*x2*x3 ]
[ x1*x3*x2*x3*x2*x3, x2, x1^2, x2*x3*x2*x3 ]
[ x2*x3*x2*x3*x2*x3, x1, x1^2, x2*x3*x2*x3 ]
[ x1*x3*x2*x3*x2*x3, x1^3*x2, x1^2, x2*x3*x2*x3 ]
[ x3*x2*x3*x2*x3, x2, x1, x1^2 ]
[ x3*x2*x3*x2*x3, x2, x1^2, x2*x3*x2*x3 ]
[ x3*x2*x3*x2*x3, x1, x1^2, x2*x3*x2*x3 ]
[ x3*x2*x3*x2*x3, x1^3*x2, x1^2, x2*x3*x2*x3 ]
[ x2, x1, x1^2, x2*x3*x2*x3 ]
[ x1*x3*x2*x3*x2*x3, x2, x1^2, x2*x3*x2*x3 ]
[ x2*x3*x2*x3*x2*x3, x1, x1^2, x2*x3*x2*x3 ]
[ x1*x3*x2*x3*x2*x3, x1^3*x2, x1^2, x2*x3*x2*x3 ]
[ x3*x2*x3*x2*x3, x2, x1, x1^2 ]
[ x3*x2, x2*x3^2, x1^2, x3^2 ]
[ x3*x2, x1, x1^2, x3^2 ]
[ x3*x2, x1^3*x2*x3^2, x1^2, x3^2 ]
[ x2*x3^2, x1, x1^2, x3^2 ]
[ x1*x3*x2, x2*x3^2, x1^2, x3^2 ]
[ x3^3, x1, x1^2, x3^2 ]
[ x1*x3*x2, x1^3*x2*x3^2, x1^2, x3^2 ]
[ x3*x2, x2*x3^2, x1, x1^2 ]
[ x2*x3^3, x2, x1^2, x3^2 ]
[ x2*x3^3, x1, x1^2, x3^2 ]
[ x2*x3^3, x1^3*x2, x1^2, x3^2 ]
[ x2, x1, x1^2, x3^2 ]
[ x1*x2*x3^3, x2, x1^2, x3^2 ]
[ x3^3, x1, x1^2, x3^2 ]
[ x1*x2*x3^3, x1^3*x2, x1^2, x3^2 ]
[ x2*x3^3, x2, x1, x1^2 ]
[ x2*x3^3, x1, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x2*x3^3, x2, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x2*x3^3, x1*x2, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x1, x2, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x1*x3*x1*x3^2, x1, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x2*x3*x1*x3^2, x2, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x1*x3*x1*x3^2, x1*x2, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x2*x3^3, x1, x2, x1*x2*x3*x1*x2*x3 ]
[ x3*x1*x3*x1*x3, x2, x1*x2*x1*x2, x1*x3*x1*x3 ]
[ x3*x1*x3*x1*x3, x1, x1*x2*x1*x2, x1*x3*x1*x3 ]
[ x3*x1*x3*x1*x3, x2*x1, x1*x2*x1*x2, x1*x3*x1*x3 ]
[ x2, x1, x1*x2*x1*x2, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x1*x3, x2, x1*x2*x1*x2, x1*x3*x1*x3 ]
[ x1*x2*x1*x3*x1*x3*x1*x3, x1, x1*x2*x1*x2, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x1*x3, x2*x1, x1*x2*x1*x2, x1*x3*x1*x3 ]
[ x3*x1*x3*x1*x3, x2, x1, x1*x2*x1*x2 ]
[ x3*x2*x3*x2*x3, x2, x1^2, x2*x3*x2*x3 ]
[ x3*x2*x3*x2*x3, x1, x1^2, x2*x3*x2*x3 ]
[ x3*x2*x3*x2*x3, x1^3*x2, x1^2, x2*x3*x2*x3 ]
[ x2, x1, x1^2, x2*x3*x2*x3 ]
[ x1^3*x3*x2*x3*x2*x3, x2, x1^2, x2*x3*x2*x3 ]
[ x2*x3*x2*x3*x2*x3, x1, x1^2, x2*x3*x2*x3 ]
[ x1^3*x3*x2*x3*x2*x3, x1^3*x2, x1^2, x2*x3*x2*x3 ]
[ x3*x2*x3*x2*x3, x2, x1, x1^2 ]
[ x3, x1*x2^3*x1, x2^6, x1*x2^4*x1 ]
[ x3, x1, x2^6, x1*x2^4*x1 ]
[ x3, x1*x2^3, x2^6, x1*x2^4*x1 ]
[ x1*x2^3*x1, x1, x2^6, x1*x2^4*x1 ]
[ x1*x3, x1*x2^3*x1, x2^6, x1*x2^4*x1 ]
[ x2^3*x3, x1, x2^6, x1*x2^4*x1 ]
[ x1*x3, x1*x2^3, x2^6, x1*x2^4*x1 ]
[ x3, x1*x2^3*x1, x1, x2^6 ]
[ x1*x3^3*x1, x1, x3^6, x1*x3^4*x1 ]
[ x1*x3^3*x1, x2, x3^6, x1*x3^4*x1 ]
[ x1*x3^3*x1, x1*x2, x3^6, x1*x3^4*x1 ]
[ x1, x2, x3^6, x1*x3^4*x1 ]
[ x1*x2*x3^3*x1, x1, x3^6, x1*x3^4*x1 ]
[ x1*x3^3, x2, x3^6, x1*x3^4*x1 ]
[ x1*x2*x3^3*x1, x1*x2, x3^6, x1*x3^4*x1 ]
[ x1*x3^3*x1, x1, x2, x3^6 ]
[ x1*x3^3*x1, x1, x3^6, x1*x3^4*x1 ]
[ x1*x3^3*x1, x2, x3^6, x1*x3^4*x1 ]
[ x1*x3^3*x1, x1*x2, x3^6, x1*x3^4*x1 ]
[ x1, x2, x3^6, x1*x3^4*x1 ]
[ x1*x2*x3^3*x1, x1, x3^6, x1*x3^4*x1 ]
[ x1*x3^3, x2, x3^6, x1*x3^4*x1 ]
[ x1*x2*x3^3*x1, x1*x2, x3^6, x1*x3^4*x1 ]
[ x1*x3^3*x1, x1, x2, x3^6 ]
[ x1*x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x2*x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x1*x2, x1, x1*x3*x1*x3 ]
[ x1*x2*x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2*x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2*x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x2*x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x2*x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2*x3*x1*x3^4, x2, x1, x1*x3*x1*x3 ]
[ x1^3*x3, x2^3, x1^2, x2^2 ]
[ x1^3*x3, x1, x1^2, x2^2 ]
[ x1^3*x3, x1*x2^3, x1^2, x2^2 ]
[ x2^3, x1, x1^2, x2^2 ]
[ x3, x2^3, x1^2, x2^2 ]
[ x1^3*x2^3*x3, x1, x1^2, x2^2 ]
[ x3, x1*x2^3, x1^2, x2^2 ]
[ x1^3*x3, x2^3, x1, x1^2 ]
[ x1*x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x2*x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x1*x2, x1, x1*x3*x1*x3 ]
[ x1*x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x2*x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x1*x2, x1, x1*x3*x1*x3 ]
[ x3^3, x1*x2, x1^2, x3^2 ]
[ x3^3, x1, x1^2, x3^2 ]
[ x3^3, x1^2*x2, x1^2, x3^2 ]
[ x1*x2, x1, x1^2, x3^2 ]
[ x1*x3^3, x1*x2, x1^2, x3^2 ]
[ x1*x2*x3^3, x1, x1^2, x3^2 ]
[ x1*x3^3, x1^2*x2, x1^2, x3^2 ]
[ x3^3, x1*x2, x1, x1^2 ]
[ x1*x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x2*x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x1*x2, x1, x1*x3*x1*x3 ]
[ x4^3, x2*x3, x2, x4^2, x1^2 ]
[ x4^3, x2*x3, x1, x4^2, x1^2 ]
[ x4^3, x2*x3, x1*x2, x4^2, x1^2 ]
[ x4^3, x2, x1, x4^2, x1^2 ]
[ x4^3, x1*x2*x3, x2, x4^2, x1^2 ]
[ x4^3, x3, x1, x4^2, x1^2 ]
[ x4^3, x1*x2*x3, x1*x2, x4^2, x1^2 ]
[ x2*x3, x2, x1, x4^2, x1^2 ]
[ x1*x4^3, x2*x3, x2, x4^2, x1^2 ]
[ x2*x4^3, x2*x3, x1, x4^2, x1^2 ]
[ x1*x4^3, x2*x3, x1*x2, x4^2, x1^2 ]
[ x2*x3*x4^3, x2, x1, x4^2, x1^2 ]
[ x1*x4^3, x1*x2*x3, x2, x4^2, x1^2 ]
[ x2*x4^3, x3, x1, x4^2, x1^2 ]
[ x1*x4^3, x1*x2*x3, x1*x2, x4^2, x1^2 ]
[ x4^3, x2*x3, x2, x1, x1^2 ]
[ x4^3, x1, x1*x2, x4^2, x3*x4*x3*x4^5 ]
[ x4^3, x1, x3, x4^2, x3*x4*x3*x4^5 ]
[ x4^3, x1, x1*x2*x3, x4^2, x3*x4*x3*x4^5 ]
[ x4^3, x1*x2, x3, x4^2, x3*x4*x3*x4^5 ]
[ x4^3, x1*x3, x1*x2, x4^2, x3*x4*x3*x4^5 ]
[ x4^3, x2, x3, x4^2, x3*x4*x3*x4^5 ]
[ x4^3, x1*x3, x1*x2*x3, x4^2, x3*x4*x3*x4^5 ]
[ x1, x1*x2, x3, x4^2, x3*x4*x3*x4^5 ]
[ x4*x3*x4^2, x1, x1*x2, x4^2, x3*x4*x3*x4^5 ]
[ x1*x2*x4^3, x1, x3, x4^2, x3*x4*x3*x4^5 ]
[ x4*x3*x4^2, x1, x1*x2*x3, x4^2, x3*x4*x3*x4^5 ]
[ x1*x4^3, x1*x2, x3, x4^2, x3*x4*x3*x4^5 ]
[ x4*x3*x4^2, x1*x3, x1*x2, x4^2, x3*x4*x3*x4^5 ]
[ x1*x2*x4^3, x2, x3, x4^2, x3*x4*x3*x4^5 ]
[ x4*x3*x4^2, x1*x3, x1*x2*x3, x4^2, x3*x4*x3*x4^5 ]
[ x4^3, x1, x1*x2, x3, x3*x4*x3*x4^5 ]
[ x4^3, x1, x2, x4^2, x2*x4*x2*x4^5 ]
[ x4^3, x1, x1*x3, x4^2, x2*x4*x2*x4^5 ]
[ x4^3, x1, x1*x2*x3, x4^2, x2*x4*x2*x4^5 ]
[ x4^3, x2, x1*x3, x4^2, x2*x4*x2*x4^5 ]
[ x4^3, x3, x2, x4^2, x2*x4*x2*x4^5 ]
[ x4^3, x1*x2, x1*x3, x4^2, x2*x4*x2*x4^5 ]
[ x4^3, x3, x1*x2*x3, x4^2, x2*x4*x2*x4^5 ]
[ x1, x2, x1*x3, x4^2, x2*x4*x2*x4^5 ]
[ x1*x3*x4^3, x1, x2, x4^2, x2*x4*x2*x4^5 ]
[ x4*x2*x4^2, x1, x1*x3, x4^2, x2*x4*x2*x4^5 ]
[ x1*x3*x4^3, x1, x1*x2*x3, x4^2, x2*x4*x2*x4^5 ]
[ x1*x4^3, x2, x1*x3, x4^2, x2*x4*x2*x4^5 ]
[ x1*x3*x4^3, x3, x2, x4^2, x2*x4*x2*x4^5 ]
[ x4*x2*x4^2, x1*x2, x1*x3, x4^2, x2*x4*x2*x4^5 ]
[ x1*x3*x4^3, x3, x1*x2*x3, x4^2, x2*x4*x2*x4^5 ]
[ x4^3, x1, x2, x1*x3, x2*x4*x2*x4^5 ]
[ x4^3, x3, x2, x4^4, x1*x2*x1*x2 ]
[ x4^3, x3, x1, x4^4, x1*x2*x1*x2 ]
[ x4^3, x3, x2*x1, x4^4, x1*x2*x1*x2 ]
[ x4^3, x2, x1, x4^4, x1*x2*x1*x2 ]
[ x4^3, x1*x3, x2, x4^4, x1*x2*x1*x2 ]
[ x4^3, x2*x3, x1, x4^4, x1*x2*x1*x2 ]
[ x4^3, x1*x3, x2*x1, x4^4, x1*x2*x1*x2 ]
[ x3, x2, x1, x4^4, x1*x2*x1*x2 ]
[ x1*x4^3, x3, x2, x4^4, x1*x2*x1*x2 ]
[ x1*x2*x1*x4^3, x3, x1, x4^4, x1*x2*x1*x2 ]
[ x1*x4^3, x3, x2*x1, x4^4, x1*x2*x1*x2 ]
[ x3*x4^3, x2, x1, x4^4, x1*x2*x1*x2 ]
[ x1*x4^3, x1*x3, x2, x4^4, x1*x2*x1*x2 ]
[ x1*x2*x1*x4^3, x2*x3, x1, x4^4, x1*x2*x1*x2 ]
[ x1*x4^3, x1*x3, x2*x1, x4^4, x1*x2*x1*x2 ]
[ x4^3, x3, x2, x1, x1*x2*x1*x2 ]
[ x4^3, x1, x1*x2, x4^4, x3*x4*x3*x4^5 ]
[ x4^3, x1, x1*x4*x3*x4^5, x4^4, x3*x4*x3*x4^5 ]
[ x4^3, x1, x2*x4*x3*x4^5, x4^4, x3*x4*x3*x4^5 ]
[ x4^3, x1*x2, x1*x4*x3*x4^5, x4^4, x3*x4*x3*x4^5 ]
[ x4^3, x4*x3*x4^5, x1*x2, x4^4, x3*x4*x3*x4^5 ]
[ x4^3, x2, x1*x4*x3*x4^5, x4^4, x3*x4*x3*x4^5 ]
[ x4^3, x4*x3*x4^5, x2*x4*x3*x4^5, x4^4, x3*x4*x3*x4^5 ]
[ x1, x1*x2, x1*x4*x3*x4^5, x4^4, x3*x4*x3*x4^5 ]
[ x1*x3*x4^3, x1, x1*x2, x4^4, x3*x4*x3*x4^5 ]
[ x1*x2*x4^3, x1, x1*x4*x3*x4^5, x4^4, x3*x4*x3*x4^5 ]
[ x1*x3*x4^3, x1, x2*x4*x3*x4^5, x4^4, x3*x4*x3*x4^5 ]
[ x1*x4^3, x1*x2, x1*x4*x3*x4^5, x4^4, x3*x4*x3*x4^5 ]
[ x1*x3*x4^3, x4*x3*x4^5, x1*x2, x4^4, x3*x4*x3*x4^5 ]
[ x1*x2*x4^3, x2, x1*x4*x3*x4^5, x4^4, x3*x4*x3*x4^5 ]
[ x1*x3*x4^3, x4*x3*x4^5, x2*x4*x3*x4^5, x4^4, x3*x4*x3*x4^5 ]
[ x4^3, x1, x1*x2, x1*x4*x3*x4^5, x3*x4*x3*x4^5 ]
[ x4^3, x1, x2, x4^2, x3*x4*x3*x4^5 ]
[ x4^3, x1, x2*x3, x4^2, x3*x4*x3*x4^5 ]
[ x4^3, x1, x3, x4^2, x3*x4*x3*x4^5 ]
[ x4^3, x2, x2*x3, x4^2, x3*x4*x3*x4^5 ]
[ x4^3, x1*x2*x3, x2, x4^2, x3*x4*x3*x4^5 ]
[ x4^3, x1*x2, x2*x3, x4^2, x3*x4*x3*x4^5 ]
[ x4^3, x1*x2*x3, x3, x4^2, x3*x4*x3*x4^5 ]
[ x1, x2, x2*x3, x4^2, x3*x4*x3*x4^5 ]
[ x2*x4*x3*x4^2, x1, x2, x4^2, x3*x4*x3*x4^5 ]
[ x2*x4^3, x1, x2*x3, x4^2, x3*x4*x3*x4^5 ]
[ x2*x4*x3*x4^2, x1, x3, x4^2, x3*x4*x3*x4^5 ]
[ x1*x4^3, x2, x2*x3, x4^2, x3*x4*x3*x4^5 ]
[ x2*x4*x3*x4^2, x1*x2*x3, x2, x4^2, x3*x4*x3*x4^5 ]
[ x2*x4^3, x1*x2, x2*x3, x4^2, x3*x4*x3*x4^5 ]
[ x2*x4*x3*x4^2, x1*x2*x3, x3, x4^2, x3*x4*x3*x4^5 ]
[ x4^3, x1, x2, x2*x3, x3*x4*x3*x4^5 ]
[ x4^3, x1, x1*x2, x4^2, x3*x4*x3*x4^5 ]
[ x4^3, x1, x1*x3, x4^2, x3*x4*x3*x4^5 ]
[ x4^3, x1, x2*x3, x4^2, x3*x4*x3*x4^5 ]
[ x4^3, x1*x2, x1*x3, x4^2, x3*x4*x3*x4^5 ]
[ x4^3, x3, x1*x2, x4^2, x3*x4*x3*x4^5 ]
[ x4^3, x2, x1*x3, x4^2, x3*x4*x3*x4^5 ]
[ x4^3, x3, x2*x3, x4^2, x3*x4*x3*x4^5 ]
[ x1, x1*x2, x1*x3, x4^2, x3*x4*x3*x4^5 ]
[ x1*x4*x3*x4^2, x1, x1*x2, x4^2, x3*x4*x3*x4^5 ]
[ x1*x2*x4^3, x1, x1*x3, x4^2, x3*x4*x3*x4^5 ]
[ x1*x4*x3*x4^2, x1, x2*x3, x4^2, x3*x4*x3*x4^5 ]
[ x1*x4^3, x1*x2, x1*x3, x4^2, x3*x4*x3*x4^5 ]
[ x1*x4*x3*x4^2, x3, x1*x2, x4^2, x3*x4*x3*x4^5 ]
[ x1*x2*x4^3, x2, x1*x3, x4^2, x3*x4*x3*x4^5 ]
[ x1*x4*x3*x4^2, x3, x2*x3, x4^2, x3*x4*x3*x4^5 ]
[ x4^3, x1, x1*x2, x1*x3, x3*x4*x3*x4^5 ]
[ x4^3, x3, x1, x4^2, x1*x3*x1*x3 ]
[ x4^3, x3, x2, x4^2, x1*x3*x1*x3 ]
[ x4^3, x3, x1*x2, x4^2, x1*x3*x1*x3 ]
[ x4^3, x1, x2, x4^2, x1*x3*x1*x3 ]
[ x4^3, x2*x3, x1, x4^2, x1*x3*x1*x3 ]
[ x4^3, x3*x1, x2, x4^2, x1*x3*x1*x3 ]
[ x4^3, x2*x3, x1*x2, x4^2, x1*x3*x1*x3 ]
[ x3, x1, x2, x4^2, x1*x3*x1*x3 ]
[ x2*x4^3, x3, x1, x4^2, x1*x3*x1*x3 ]
[ x1*x4^3, x3, x2, x4^2, x1*x3*x1*x3 ]
[ x2*x4^3, x3, x1*x2, x4^2, x1*x3*x1*x3 ]
[ x3*x4^3, x1, x2, x4^2, x1*x3*x1*x3 ]
[ x2*x4^3, x2*x3, x1, x4^2, x1*x3*x1*x3 ]
[ x1*x4^3, x3*x1, x2, x4^2, x1*x3*x1*x3 ]
[ x2*x4^3, x2*x3, x1*x2, x4^2, x1*x3*x1*x3 ]
[ x4^3, x3, x1, x2, x1*x3*x1*x3 ]
[ x4^3, x1, x2, x4^2, x3*x4*x3*x4^5 ]
[ x4^3, x1, x3, x4^2, x3*x4*x3*x4^5 ]
[ x4^3, x1, x2*x3, x4^2, x3*x4*x3*x4^5 ]
[ x4^3, x2, x3, x4^2, x3*x4*x3*x4^5 ]
[ x4^3, x1*x3, x2, x4^2, x3*x4*x3*x4^5 ]
[ x4^3, x1*x2, x3, x4^2, x3*x4*x3*x4^5 ]
[ x4^3, x1*x3, x2*x3, x4^2, x3*x4*x3*x4^5 ]
[ x1, x2, x3, x4^2, x3*x4*x3*x4^5 ]
[ x4*x3*x4^2, x1, x2, x4^2, x3*x4*x3*x4^5 ]
[ x2*x4^3, x1, x3, x4^2, x3*x4*x3*x4^5 ]
[ x4*x3*x4^2, x1, x2*x3, x4^2, x3*x4*x3*x4^5 ]
[ x1*x4^3, x2, x3, x4^2, x3*x4*x3*x4^5 ]
[ x4*x3*x4^2, x1*x3, x2, x4^2, x3*x4*x3*x4^5 ]
[ x2*x4^3, x1*x2, x3, x4^2, x3*x4*x3*x4^5 ]
[ x4*x3*x4^2, x1*x3, x2*x3, x4^2, x3*x4*x3*x4^5 ]
[ x4^3, x1, x2, x3, x3*x4*x3*x4^5 ]
[ x4^3, x1, x2, x4^2, x2*x4*x2*x4^5 ]
[ x4^3, x1, x1*x3, x4^2, x2*x4*x2*x4^5 ]
[ x4^3, x1, x1*x2*x3, x4^2, x2*x4*x2*x4^5 ]
[ x4^3, x2, x1*x3, x4^2, x2*x4*x2*x4^5 ]
[ x4^3, x3, x2, x4^2, x2*x4*x2*x4^5 ]
[ x4^3, x1*x2, x1*x3, x4^2, x2*x4*x2*x4^5 ]
[ x4^3, x3, x1*x2*x3, x4^2, x2*x4*x2*x4^5 ]
[ x1, x2, x1*x3, x4^2, x2*x4*x2*x4^5 ]
[ x1*x3*x4^3, x1, x2, x4^2, x2*x4*x2*x4^5 ]
[ x4*x2*x4^2, x1, x1*x3, x4^2, x2*x4*x2*x4^5 ]
[ x1*x3*x4^3, x1, x1*x2*x3, x4^2, x2*x4*x2*x4^5 ]
[ x1*x4^3, x2, x1*x3, x4^2, x2*x4*x2*x4^5 ]
[ x1*x3*x4^3, x3, x2, x4^2, x2*x4*x2*x4^5 ]
[ x4*x2*x4^2, x1*x2, x1*x3, x4^2, x2*x4*x2*x4^5 ]
[ x1*x3*x4^3, x3, x1*x2*x3, x4^2, x2*x4*x2*x4^5 ]
[ x4^3, x1, x2, x1*x3, x2*x4*x2*x4^5 ]
[ x4^3, x1, x1*x2, x4^2, x1*x4*x1*x4^5 ]
[ x4^3, x1, x3, x4^2, x1*x4*x1*x4^5 ]
[ x4^3, x1, x1*x2*x3, x4^2, x1*x4*x1*x4^5 ]
[ x4^3, x1*x2, x3, x4^2, x1*x4*x1*x4^5 ]
[ x4^3, x1*x3, x1*x2, x4^2, x1*x4*x1*x4^5 ]
[ x4^3, x2, x3, x4^2, x1*x4*x1*x4^5 ]
[ x4^3, x1*x3, x1*x2*x3, x4^2, x1*x4*x1*x4^5 ]
[ x1, x1*x2, x3, x4^2, x1*x4*x1*x4^5 ]
[ x3*x4^3, x1, x1*x2, x4^2, x1*x4*x1*x4^5 ]
[ x1*x2*x4^3, x1, x3, x4^2, x1*x4*x1*x4^5 ]
[ x3*x4^3, x1, x1*x2*x3, x4^2, x1*x4*x1*x4^5 ]
[ x4*x1*x4^2, x1*x2, x3, x4^2, x1*x4*x1*x4^5 ]
[ x3*x4^3, x1*x3, x1*x2, x4^2, x1*x4*x1*x4^5 ]
[ x1*x2*x4^3, x2, x3, x4^2, x1*x4*x1*x4^5 ]
[ x3*x4^3, x1*x3, x1*x2*x3, x4^2, x1*x4*x1*x4^5 ]
[ x4^3, x1, x1*x2, x3, x1*x4*x1*x4^5 ]
[ x4^3, x1, x2, x4^2, x2*x4*x2*x4^5 ]
[ x4^3, x1, x1*x3, x4^2, x2*x4*x2*x4^5 ]
[ x4^3, x1, x1*x2*x3, x4^2, x2*x4*x2*x4^5 ]
[ x4^3, x2, x1*x3, x4^2, x2*x4*x2*x4^5 ]
[ x4^3, x3, x2, x4^2, x2*x4*x2*x4^5 ]
[ x4^3, x1*x2, x1*x3, x4^2, x2*x4*x2*x4^5 ]
[ x4^3, x3, x1*x2*x3, x4^2, x2*x4*x2*x4^5 ]
[ x1, x2, x1*x3, x4^2, x2*x4*x2*x4^5 ]
[ x1*x3*x4^3, x1, x2, x4^2, x2*x4*x2*x4^5 ]
[ x4*x2*x4^2, x1, x1*x3, x4^2, x2*x4*x2*x4^5 ]
[ x1*x3*x4^3, x1, x1*x2*x3, x4^2, x2*x4*x2*x4^5 ]
[ x1*x4^3, x2, x1*x3, x4^2, x2*x4*x2*x4^5 ]
[ x1*x3*x4^3, x3, x2, x4^2, x2*x4*x2*x4^5 ]
[ x4*x2*x4^2, x1*x2, x1*x3, x4^2, x2*x4*x2*x4^5 ]
[ x1*x3*x4^3, x3, x1*x2*x3, x4^2, x2*x4*x2*x4^5 ]
[ x4^3, x1, x2, x1*x3, x2*x4*x2*x4^5 ]
[ x4^3, x1, x2, x4^2, x1*x4*x1*x4^5 ]
[ x4^3, x1, x3, x4^2, x1*x4*x1*x4^5 ]
[ x4^3, x1, x2*x3, x4^2, x1*x4*x1*x4^5 ]
[ x4^3, x2, x3, x4^2, x1*x4*x1*x4^5 ]
[ x4^3, x1*x3, x2, x4^2, x1*x4*x1*x4^5 ]
[ x4^3, x1*x2, x3, x4^2, x1*x4*x1*x4^5 ]
[ x4^3, x1*x3, x2*x3, x4^2, x1*x4*x1*x4^5 ]
[ x1, x2, x3, x4^2, x1*x4*x1*x4^5 ]
[ x3*x4^3, x1, x2, x4^2, x1*x4*x1*x4^5 ]
[ x2*x4^3, x1, x3, x4^2, x1*x4*x1*x4^5 ]
[ x3*x4^3, x1, x2*x3, x4^2, x1*x4*x1*x4^5 ]
[ x4*x1*x4^2, x2, x3, x4^2, x1*x4*x1*x4^5 ]
[ x3*x4^3, x1*x3, x2, x4^2, x1*x4*x1*x4^5 ]
[ x2*x4^3, x1*x2, x3, x4^2, x1*x4*x1*x4^5 ]
[ x3*x4^3, x1*x3, x2*x3, x4^2, x1*x4*x1*x4^5 ]
[ x4^3, x1, x2, x3, x1*x4*x1*x4^5 ]
[ x4^3, x1, x2, x4^2, x2*x4*x2*x4^5 ]
[ x4^3, x1, x3, x4^2, x2*x4*x2*x4^5 ]
[ x4^3, x1, x2*x3, x4^2, x2*x4*x2*x4^5 ]
[ x4^3, x2, x3, x4^2, x2*x4*x2*x4^5 ]
[ x4^3, x1*x3, x2, x4^2, x2*x4*x2*x4^5 ]
[ x4^3, x1*x2, x3, x4^2, x2*x4*x2*x4^5 ]
[ x4^3, x1*x3, x2*x3, x4^2, x2*x4*x2*x4^5 ]
[ x1, x2, x3, x4^2, x2*x4*x2*x4^5 ]
[ x3*x4^3, x1, x2, x4^2, x2*x4*x2*x4^5 ]
[ x4*x2*x4^2, x1, x3, x4^2, x2*x4*x2*x4^5 ]
[ x3*x4^3, x1, x2*x3, x4^2, x2*x4*x2*x4^5 ]
[ x1*x4^3, x2, x3, x4^2, x2*x4*x2*x4^5 ]
[ x3*x4^3, x1*x3, x2, x4^2, x2*x4*x2*x4^5 ]
[ x4*x2*x4^2, x1*x2, x3, x4^2, x2*x4*x2*x4^5 ]
[ x3*x4^3, x1*x3, x2*x3, x4^2, x2*x4*x2*x4^5 ]
[ x4^3, x1, x2, x3, x2*x4*x2*x4^5 ]
[ x4^3, x1, x2, x4^4, x2^2 ]
[ x4^3, x1, x3, x4^4, x2^2 ]
[ x4^3, x1, x2*x3, x4^4, x2^2 ]
[ x4^3, x2, x3, x4^4, x2^2 ]
[ x4^3, x1*x3, x2, x4^4, x2^2 ]
[ x4^3, x1*x2, x3, x4^4, x2^2 ]
[ x4^3, x1*x3, x2*x3, x4^4, x2^2 ]
[ x1, x2, x3, x4^4, x2^2 ]
[ x3*x4^3, x1, x2, x4^4, x2^2 ]
[ x2^3*x4^3, x1, x3, x4^4, x2^2 ]
[ x3*x4^3, x1, x2*x3, x4^4, x2^2 ]
[ x1*x4^3, x2, x3, x4^4, x2^2 ]
[ x3*x4^3, x1*x3, x2, x4^4, x2^2 ]
[ x2^3*x4^3, x1*x2, x3, x4^4, x2^2 ]
[ x3*x4^3, x1*x3, x2*x3, x4^4, x2^2 ]
[ x4^3, x1, x2, x3, x2^2 ]
[ x1*x4*x1*x4^4, x1*x2*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4^4, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4^4, x1*x2*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4^4, x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4^4, x2*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4^4, x1*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4^4, x2*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x3, x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4^4, x1*x2*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4*x1*x4^4, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4^4, x1*x2*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x3*x4*x1*x4^4, x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4^4, x2*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4*x1*x4^4, x1*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4^4, x2*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4^4, x1*x2*x3, x2, x1, x1*x4*x1*x4 ]
[ x4^3, x1*x3, x1*x2, x2^2, x4^2 ]
[ x4^3, x1*x3, x1, x2^2, x4^2 ]
[ x4^3, x1*x3, x2, x2^2, x4^2 ]
[ x4^3, x1*x2, x1, x2^2, x4^2 ]
[ x4^3, x3, x1*x2, x2^2, x4^2 ]
[ x4^3, x2*x3, x1, x2^2, x4^2 ]
[ x4^3, x3, x2, x2^2, x4^2 ]
[ x1*x3, x1*x2, x1, x2^2, x4^2 ]
[ x1*x4^3, x1*x3, x1*x2, x2^2, x4^2 ]
[ x1*x2*x4^3, x1*x3, x1, x2^2, x4^2 ]
[ x1*x4^3, x1*x3, x2, x2^2, x4^2 ]
[ x1*x3*x4^3, x1*x2, x1, x2^2, x4^2 ]
[ x1*x4^3, x3, x1*x2, x2^2, x4^2 ]
[ x1*x2*x4^3, x2*x3, x1, x2^2, x4^2 ]
[ x1*x4^3, x3, x2, x2^2, x4^2 ]
[ x4^3, x1*x3, x1*x2, x1, x2^2 ]
[ x1*x4*x1*x4^4, x2*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4^4, x2*x3, x4*x1*x4^3, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4^4, x2*x3, x2*x4*x1*x4^3, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4^4, x2, x4*x1*x4^3, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4^4, x2*x3*x4*x1*x4^3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4^4, x3, x4*x1*x4^3, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4^4, x2*x3*x4*x1*x4^3, x2*x4*x1*x4^3, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x3, x2, x4*x1*x4^3, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1, x2*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4*x1*x4^4, x2*x3, x4*x1*x4^3, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1, x2*x3, x2*x4*x1*x4^3, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x3*x4*x1*x4^4, x2, x4*x1*x4^3, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1, x2*x3*x4*x1*x4^3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4*x1*x4^4, x3, x4*x1*x4^3, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1, x2*x3*x4*x1*x4^3, x2*x4*x1*x4^3, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4^4, x2*x3, x2, x4*x1*x4^3, x1*x4*x1*x4 ]
[ x1*x4*x1*x4^4, x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4^4, x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4^4, x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4^4, x1*x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4^4, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4^4, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4^4, x1*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x3, x1*x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4^4, x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4^4, x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4^4, x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x3*x4*x1*x4^4, x1*x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4^4, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4^4, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4^4, x1*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4^4, x3, x1*x2, x1, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x3, x2, x2^2, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x3, x1, x2^2, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x3, x1*x2, x2^2, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x2, x1, x2^2, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x1*x3, x2, x2^2, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x2*x3, x1, x2^2, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x1*x3, x1*x2, x2^2, x1*x4*x1*x4 ]
[ x3, x2, x1, x2^2, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x3, x2, x2^2, x1*x4*x1*x4 ]
[ x2*x4*x1*x4*x1*x4, x3, x1, x2^2, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x3, x1*x2, x2^2, x1*x4*x1*x4 ]
[ x3*x4*x1*x4*x1*x4, x2, x1, x2^2, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x1*x3, x2, x2^2, x1*x4*x1*x4 ]
[ x2*x4*x1*x4*x1*x4, x2*x3, x1, x2^2, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x1*x3, x1*x2, x2^2, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x3, x2, x1, x2^2 ]
[ x4, x3^3, x2, x2^2, x3^2 ]
[ x4, x3^3, x1, x2^2, x3^2 ]
[ x4, x3^3, x1*x2, x2^2, x3^2 ]
[ x4, x2, x1, x2^2, x3^2 ]
[ x4, x1*x3^3, x2, x2^2, x3^2 ]
[ x4, x2*x3^3, x1, x2^2, x3^2 ]
[ x4, x1*x3^3, x1*x2, x2^2, x3^2 ]
[ x3^3, x2, x1, x2^2, x3^2 ]
[ x1*x4, x3^3, x2, x2^2, x3^2 ]
[ x2*x4, x3^3, x1, x2^2, x3^2 ]
[ x1*x4, x3^3, x1*x2, x2^2, x3^2 ]
[ x3^3*x4, x2, x1, x2^2, x3^2 ]
[ x1*x4, x1*x3^3, x2, x2^2, x3^2 ]
[ x2*x4, x2*x3^3, x1, x2^2, x3^2 ]
[ x1*x4, x1*x3^3, x1*x2, x2^2, x3^2 ]
[ x4, x3^3, x2, x1, x2^2 ]
[ x1*x2*x4*x1*x4^4, x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4*x1*x4^4, x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4*x1*x4^4, x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4*x1*x4^4, x1*x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4*x1*x4^4, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4*x1*x4^4, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4*x1*x4^4, x1*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x3, x1*x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4^4, x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4^4, x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4^4, x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x3*x4*x1*x4^4, x1*x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4^4, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4^4, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4^4, x1*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4*x1*x4^4, x3, x1*x2, x1, x1*x4*x1*x4 ]
[ x1*x4*x2*x4^4, x1*x3, x2, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x1*x4*x2*x4^4, x1*x3, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x1*x4*x2*x4^4, x1*x3, x1*x2, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x1*x4*x2*x4^4, x2, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x1*x4*x2*x4^4, x3, x2, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x1*x4*x2*x4^4, x1*x2*x3, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x1*x4*x2*x4^4, x3, x1*x2, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x1*x3, x2, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x4*x2*x4^4, x1*x3, x2, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x1*x2*x4*x2*x4^4, x1*x3, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x4*x2*x4^4, x1*x3, x1*x2, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x3*x4*x2*x4^4, x2, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x4*x2*x4^4, x3, x2, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x1*x2*x4*x2*x4^4, x1*x2*x3, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x4*x2*x4^4, x3, x1*x2, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x1*x4*x2*x4^4, x1*x3, x2, x1, x2*x4*x2*x4 ]
[ x4*x1*x4*x1*x4, x3, x2, x2^2, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x3, x1, x2^2, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x3, x1*x2, x2^2, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x2, x1, x2^2, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x1*x3, x2, x2^2, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x2*x3, x1, x2^2, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x1*x3, x1*x2, x2^2, x1*x4*x1*x4 ]
[ x3, x2, x1, x2^2, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x3, x2, x2^2, x1*x4*x1*x4 ]
[ x2*x4*x1*x4*x1*x4, x3, x1, x2^2, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x3, x1*x2, x2^2, x1*x4*x1*x4 ]
[ x3*x4*x1*x4*x1*x4, x2, x1, x2^2, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x1*x3, x2, x2^2, x1*x4*x1*x4 ]
[ x2*x4*x1*x4*x1*x4, x2*x3, x1, x2^2, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x1*x3, x1*x2, x2^2, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x3, x2, x1, x2^2 ]
[ x4*x1*x4*x1*x4, x2*x3, x2, x3^2, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x2*x3, x1, x3^2, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x2*x3, x1*x2, x3^2, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x2, x1, x3^2, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x1*x2*x3, x2, x3^2, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x3, x1, x3^2, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x1*x2*x3, x1*x2, x3^2, x1*x4*x1*x4 ]
[ x2*x3, x2, x1, x3^2, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x2*x3, x2, x3^2, x1*x4*x1*x4 ]
[ x2*x4*x1*x4*x1*x4, x2*x3, x1, x3^2, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x2*x3, x1*x2, x3^2, x1*x4*x1*x4 ]
[ x2*x3*x4*x1*x4*x1*x4, x2, x1, x3^2, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x1*x2*x3, x2, x3^2, x1*x4*x1*x4 ]
[ x2*x4*x1*x4*x1*x4, x3, x1, x3^2, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x1*x2*x3, x1*x2, x3^2, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x2*x3, x2, x1, x3^2 ]
[ x4*x1*x4*x1*x4, x3, x2, x3^2, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x3, x1, x3^2, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x3, x1*x2, x3^2, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x2, x1, x3^2, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x1*x3, x2, x3^2, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x2*x3, x1, x3^2, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x1*x3, x1*x2, x3^2, x1*x4*x1*x4 ]
[ x3, x2, x1, x3^2, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x3, x2, x3^2, x1*x4*x1*x4 ]
[ x2*x4*x1*x4*x1*x4, x3, x1, x3^2, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x3, x1*x2, x3^2, x1*x4*x1*x4 ]
[ x3*x4*x1*x4*x1*x4, x2, x1, x3^2, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x1*x3, x2, x3^2, x1*x4*x1*x4 ]
[ x2*x4*x1*x4*x1*x4, x2*x3, x1, x3^2, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x1*x3, x1*x2, x3^2, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x3, x2, x1, x3^2 ]
[ x4^3, x1*x3, x2, x2^2, x4^2 ]
[ x4^3, x1*x3, x1, x2^2, x4^2 ]
[ x4^3, x1*x3, x1*x2, x2^2, x4^2 ]
[ x4^3, x2, x1, x2^2, x4^2 ]
[ x4^3, x3, x2, x2^2, x4^2 ]
[ x4^3, x1*x2*x3, x1, x2^2, x4^2 ]
[ x4^3, x3, x1*x2, x2^2, x4^2 ]
[ x1*x3, x2, x1, x2^2, x4^2 ]
[ x1*x4^3, x1*x3, x2, x2^2, x4^2 ]
[ x2*x4^3, x1*x3, x1, x2^2, x4^2 ]
[ x1*x4^3, x1*x3, x1*x2, x2^2, x4^2 ]
[ x1*x3*x4^3, x2, x1, x2^2, x4^2 ]
[ x1*x4^3, x3, x2, x2^2, x4^2 ]
[ x2*x4^3, x1*x2*x3, x1, x2^2, x4^2 ]
[ x1*x4^3, x3, x1*x2, x2^2, x4^2 ]
[ x4^3, x1*x3, x2, x1, x2^2 ]
[ x4*x1*x4*x1*x4, x3, x2, x2^2, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x3, x1, x2^2, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x3, x1*x2, x2^2, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x2, x1, x2^2, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x1*x3, x2, x2^2, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x2*x3, x1, x2^2, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x1*x3, x1*x2, x2^2, x1*x4*x1*x4 ]
[ x3, x2, x1, x2^2, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x3, x2, x2^2, x1*x4*x1*x4 ]
[ x2*x4*x1*x4*x1*x4, x3, x1, x2^2, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x3, x1*x2, x2^2, x1*x4*x1*x4 ]
[ x3*x4*x1*x4*x1*x4, x2, x1, x2^2, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x1*x3, x2, x2^2, x1*x4*x1*x4 ]
[ x2*x4*x1*x4*x1*x4, x2*x3, x1, x2^2, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x1*x3, x1*x2, x2^2, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x3, x2, x1, x2^2 ]
[ x4^3, x4^2*x1, x2*x4^2*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x4^2*x1, x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x4^2*x1, x2*x3*x4^2*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x2*x4^2*x1, x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x3*x4^2*x1, x2*x4^2*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x2, x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x3*x4^2*x1, x2*x3*x4^2*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^2*x1, x2*x4^2*x1, x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4*x3*x4^2, x4^2*x1, x2*x4^2*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x2*x4, x4^2*x1, x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4*x3*x4^2, x4^2*x1, x2*x3*x4^2*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x4, x2*x4^2*x1, x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4*x3*x4^2, x3*x4^2*x1, x2*x4^2*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x2*x4, x2, x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4*x3*x4^2, x3*x4^2*x1, x2*x3*x4^2*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x4^2*x1, x2*x4^2*x1, x3, x1*x3*x4*x1*x3*x4 ]
[ x4, x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x4, x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x4, x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x4, x2, x1, x1*x2*x1*x2, x3^2 ]
[ x4, x1*x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x4, x2*x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x4, x1*x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x3^3, x2, x1, x1*x2*x1*x2, x3^2 ]
[ x1*x4, x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x2*x4, x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x1*x4, x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x3^3*x4, x2, x1, x1*x2*x1*x2, x3^2 ]
[ x1*x4, x1*x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x2*x4, x2*x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x1*x4, x1*x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x4, x3^3, x2, x1, x1*x2*x1*x2 ]
[ x2*x4^3, x3*x2, x1, x2*x3*x2*x3, x4^2 ]
[ x2*x4^3, x3*x2, x2, x2*x3*x2*x3, x4^2 ]
[ x2*x4^3, x3*x2, x1*x2, x2*x3*x2*x3, x4^2 ]
[ x2*x4^3, x1, x2, x2*x3*x2*x3, x4^2 ]
[ x2*x4^3, x3, x1, x2*x3*x2*x3, x4^2 ]
[ x2*x4^3, x1*x3*x2, x2, x2*x3*x2*x3, x4^2 ]
[ x2*x4^3, x3, x1*x2, x2*x3*x2*x3, x4^2 ]
[ x3*x2, x1, x2, x2*x3*x2*x3, x4^2 ]
[ x4^3, x3*x2, x1, x2*x3*x2*x3, x4^2 ]
[ x1*x2*x4^3, x3*x2, x2, x2*x3*x2*x3, x4^2 ]
[ x4^3, x3*x2, x1*x2, x2*x3*x2*x3, x4^2 ]
[ x3*x4^3, x1, x2, x2*x3*x2*x3, x4^2 ]
[ x4^3, x3, x1, x2*x3*x2*x3, x4^2 ]
[ x1*x2*x4^3, x1*x3*x2, x2, x2*x3*x2*x3, x4^2 ]
[ x4^3, x3, x1*x2, x2*x3*x2*x3, x4^2 ]
[ x2*x4^3, x3*x2, x1, x2, x2*x3*x2*x3 ]
[ x2*x4, x1, x4^2*x2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4, x1, x3*x4^2*x2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4, x1, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4, x4^2*x2, x3*x4^2*x2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4, x1*x3*x4^2*x2, x4^2*x2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4, x1*x4^2*x2, x3*x4^2*x2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4, x1*x3*x4^2*x2, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1, x4^2*x2, x3*x4^2*x2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4*x3*x4^2, x1, x4^2*x2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4^3, x1, x3*x4^2*x2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4*x3*x4^2, x1, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1*x2*x4, x4^2*x2, x3*x4^2*x2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4*x3*x4^2, x1*x3*x4^2*x2, x4^2*x2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4^3, x1*x4^2*x2, x3*x4^2*x2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4*x3*x4^2, x1*x3*x4^2*x2, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4, x1, x4^2*x2, x3*x4^2*x2, x2*x3*x4*x2*x3*x4 ]
[ x4^3, x4^2*x1, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x4^2*x1, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x4^2*x1, x2*x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x2, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x3, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x2*x4^2*x1, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x3, x2*x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^2*x1, x2, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4, x4^2*x1, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4*x2*x4^2, x4^2*x1, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4, x4^2*x1, x2*x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4, x2, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4, x3, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4*x2*x4^2, x2*x4^2*x1, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4, x3, x2*x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x4^2*x1, x2, x3*x4^2*x1, x1*x2*x4*x1*x2*x4 ]
[ x4^3, x1, x4^2*x2, x2*x4*x2*x4, x4^2 ]
[ x4^3, x1, x3*x4^2*x2, x2*x4*x2*x4, x4^2 ]
[ x4^3, x1, x3, x2*x4*x2*x4, x4^2 ]
[ x4^3, x4^2*x2, x3*x4^2*x2, x2*x4*x2*x4, x4^2 ]
[ x4^3, x1*x3*x4^2*x2, x4^2*x2, x2*x4*x2*x4, x4^2 ]
[ x4^3, x1*x4^2*x2, x3*x4^2*x2, x2*x4*x2*x4, x4^2 ]
[ x4^3, x1*x3*x4^2*x2, x3, x2*x4*x2*x4, x4^2 ]
[ x1, x4^2*x2, x3*x4^2*x2, x2*x4*x2*x4, x4^2 ]
[ x2*x3*x4, x1, x4^2*x2, x2*x4*x2*x4, x4^2 ]
[ x1*x2*x4*x1, x1, x3*x4^2*x2, x2*x4*x2*x4, x4^2 ]
[ x2*x3*x4, x1, x3, x2*x4*x2*x4, x4^2 ]
[ x4*x1*x4^2, x4^2*x2, x3*x4^2*x2, x2*x4*x2*x4, x4^2 ]
[ x2*x3*x4, x1*x3*x4^2*x2, x4^2*x2, x2*x4*x2*x4, x4^2 ]
[ x1*x2*x4*x1, x1*x4^2*x2, x3*x4^2*x2, x2*x4*x2*x4, x4^2 ]
[ x2*x3*x4, x1*x3*x4^2*x2, x3, x2*x4*x2*x4, x4^2 ]
[ x4^3, x1, x4^2*x2, x3*x4^2*x2, x2*x4*x2*x4 ]
[ x4^3, x4^2*x1, x2*x4^2*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x4^2*x1, x1*x2*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x4^2*x1, x4*x3*x4*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x2*x4^2*x1, x1*x2*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x2*x4*x3*x4*x1, x2*x4^2*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x2, x1*x2*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x2*x4*x3*x4*x1, x4*x3*x4*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^2*x1, x2*x4^2*x1, x1*x2*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x2*x3*x4^3, x4^2*x1, x2*x4^2*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x2*x4, x4^2*x1, x1*x2*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x2*x3*x4^3, x4^2*x1, x4*x3*x4*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x4, x2*x4^2*x1, x1*x2*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x2*x3*x4^3, x2*x4*x3*x4*x1, x2*x4^2*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x2*x4, x2, x1*x2*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x2*x3*x4^3, x2*x4*x3*x4*x1, x4*x3*x4*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x4^2*x1, x2*x4^2*x1, x1*x2*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4 ]
[ x4^3, x3*x1, x1, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3*x1, x1*x4^2*x2, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3*x1, x4^2*x2, x1*x3*x1*x3, x4^2 ]
[ x4^3, x1, x1*x4^2*x2, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3*x4^2*x2, x1, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3, x1*x4^2*x2, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3*x4^2*x2, x4^2*x2, x1*x3*x1*x3, x4^2 ]
[ x3*x1, x1, x1*x4^2*x2, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4, x3*x1, x1, x1*x3*x1*x3, x4^2 ]
[ x1*x4^3, x3*x1, x1*x4^2*x2, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4, x3*x1, x4^2*x2, x1*x3*x1*x3, x4^2 ]
[ x1*x3*x4^3, x1, x1*x4^2*x2, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4, x3*x4^2*x2, x1, x1*x3*x1*x3, x4^2 ]
[ x1*x4^3, x3, x1*x4^2*x2, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4, x3*x4^2*x2, x4^2*x2, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3*x1, x1, x1*x4^2*x2, x1*x3*x1*x3 ]
[ x4^3, x1, x2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4^3, x1, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4^3, x1, x2*x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4^3, x2, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4^3, x1*x3, x2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4^3, x1*x2, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4^3, x1*x3, x2*x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1, x2, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4*x3*x4^2, x1, x2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^3, x1, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4*x3*x4^2, x1, x2*x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1*x4^3, x2, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4*x3*x4^2, x1*x3, x2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^3, x1*x2, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4*x3*x4^2, x1*x3, x2*x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4^3, x1, x2, x3, x2*x3*x4*x2*x3*x4 ]
[ x4^3, x4^2*x1, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x4^2*x1, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x4^2*x1, x2*x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x2, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x3, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x2*x4^2*x1, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x3, x2*x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^2*x1, x2, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4, x4^2*x1, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4*x2*x4^2, x4^2*x1, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4, x4^2*x1, x2*x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4, x2, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4, x3, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4*x2*x4^2, x2*x4^2*x1, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4, x3, x2*x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x4^2*x1, x2, x3*x4^2*x1, x1*x2*x4*x1*x2*x4 ]
[ x4^3, x4^2*x1, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x4^2*x1, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x4^2*x1, x2*x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x2, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x3, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x2*x4^2*x1, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x3, x2*x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^2*x1, x2, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4, x4^2*x1, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4*x2*x4^2, x4^2*x1, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4, x4^2*x1, x2*x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4, x2, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4, x3, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4*x2*x4^2, x2*x4^2*x1, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4, x3, x2*x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x4^2*x1, x2, x3*x4^2*x1, x1*x2*x4*x1*x2*x4 ]
[ x4^3, x1, x1*x2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4^3, x1, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4^3, x1, x1*x2*x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4^3, x1*x2, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4^3, x1*x3, x1*x2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4^3, x2, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4^3, x1*x3, x1*x2*x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1, x1*x2, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4*x3*x4^2, x1, x1*x2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1*x2*x4^3, x1, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4*x3*x4^2, x1, x1*x2*x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1*x4^3, x1*x2, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4*x3*x4^2, x1*x3, x1*x2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1*x2*x4^3, x2, x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4*x3*x4^2, x1*x3, x1*x2*x3, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4^3, x1, x1*x2, x3, x2*x3*x4*x2*x3*x4 ]
[ x4^3, x3, x1, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3, x1*x2, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3, x2, x1*x3*x1*x3, x4^2 ]
[ x4^3, x1, x1*x2, x1*x3*x1*x3, x4^2 ]
[ x4^3, x2*x3*x1, x1, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3*x1, x1*x2, x1*x3*x1*x3, x4^2 ]
[ x4^3, x2*x3*x1, x2, x1*x3*x1*x3, x4^2 ]
[ x3, x1, x1*x2, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4^3, x3, x1, x1*x3*x1*x3, x4^2 ]
[ x1*x4^3, x3, x1*x2, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4^3, x3, x2, x1*x3*x1*x3, x4^2 ]
[ x3*x4^3, x1, x1*x2, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4^3, x2*x3*x1, x1, x1*x3*x1*x3, x4^2 ]
[ x1*x4^3, x3*x1, x1*x2, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4^3, x2*x3*x1, x2, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3, x1, x1*x2, x1*x3*x1*x3 ]
[ x4^3, x3, x1, x2*x3*x2*x3, x4^2 ]
[ x4^3, x3, x2, x2*x3*x2*x3, x4^2 ]
[ x4^3, x3, x1*x2, x2*x3*x2*x3, x4^2 ]
[ x4^3, x1, x2, x2*x3*x2*x3, x4^2 ]
[ x4^3, x3*x2, x1, x2*x3*x2*x3, x4^2 ]
[ x4^3, x1*x3, x2, x2*x3*x2*x3, x4^2 ]
[ x4^3, x3*x2, x1*x2, x2*x3*x2*x3, x4^2 ]
[ x3, x1, x2, x2*x3*x2*x3, x4^2 ]
[ x2*x4^3, x3, x1, x2*x3*x2*x3, x4^2 ]
[ x1*x4^3, x3, x2, x2*x3*x2*x3, x4^2 ]
[ x2*x4^3, x3, x1*x2, x2*x3*x2*x3, x4^2 ]
[ x3*x4^3, x1, x2, x2*x3*x2*x3, x4^2 ]
[ x2*x4^3, x3*x2, x1, x2*x3*x2*x3, x4^2 ]
[ x1*x4^3, x1*x3, x2, x2*x3*x2*x3, x4^2 ]
[ x2*x4^3, x3*x2, x1*x2, x2*x3*x2*x3, x4^2 ]
[ x4^3, x3, x1, x2, x2*x3*x2*x3 ]
[ x4^3, x1, x4^2*x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1, x3*x4^2*x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x4^2*x2, x3*x4^2*x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x3*x4^2*x2, x4^2*x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x4^2*x2, x3*x4^2*x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x3*x4^2*x2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1, x4^2*x2, x3*x4^2*x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x2*x3*x4, x1, x4^2*x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x2*x4, x1, x3*x4^2*x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x2*x3*x4, x1, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4*x1*x4^2, x4^2*x2, x3*x4^2*x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x2*x3*x4, x1*x3*x4^2*x2, x4^2*x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x2*x4, x1*x4^2*x2, x3*x4^2*x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x2*x3*x4, x1*x3*x4^2*x2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1, x4^2*x2, x3*x4^2*x2, x1*x2*x4*x1*x2*x4 ]
[ x2*x4*x2*x4^2, x2*x4*x2*x4*x1, x2, x1*x4*x1*x4, x2*x4*x2*x4 ]
[ x2*x4*x2*x4^2, x2*x4*x2*x4*x1, x2*x3*x4*x2*x4*x1, x1*x4*x1*x4, x2*x4*x2*x4 ]
[ x2*x4*x2*x4^2, x2*x4*x2*x4*x1, x3*x4*x2*x4*x1, x1*x4*x1*x4, x2*x4*x2*x4 ]
[ x2*x4*x2*x4^2, x2, x2*x3*x4*x2*x4*x1, x1*x4*x1*x4, x2*x4*x2*x4 ]
[ x2*x4*x2*x4^2, x3, x2, x1*x4*x1*x4, x2*x4*x2*x4 ]
[ x2*x4*x2*x4^2, x4*x2*x4*x1, x2*x3*x4*x2*x4*x1, x1*x4*x1*x4, x2*x4*x2*x4 ]
[ x2*x4*x2*x4^2, x3, x3*x4*x2*x4*x1, x1*x4*x1*x4, x2*x4*x2*x4 ]
[ x2*x4*x2*x4*x1, x2, x2*x3*x4*x2*x4*x1, x1*x4*x1*x4, x2*x4*x2*x4 ]
[ x1*x3*x4, x2*x4*x2*x4*x1, x2, x1*x4*x1*x4, x2*x4*x2*x4 ]
[ x2*x4^3, x2*x4*x2*x4*x1, x2*x3*x4*x2*x4*x1, x1*x4*x1*x4, x2*x4*x2*x4 ]
[ x1*x3*x4, x2*x4*x2*x4*x1, x3*x4*x2*x4*x1, x1*x4*x1*x4, x2*x4*x2*x4 ]
[ x1*x4, x2, x2*x3*x4*x2*x4*x1, x1*x4*x1*x4, x2*x4*x2*x4 ]
[ x1*x3*x4, x3, x2, x1*x4*x1*x4, x2*x4*x2*x4 ]
[ x2*x4^3, x4*x2*x4*x1, x2*x3*x4*x2*x4*x1, x1*x4*x1*x4, x2*x4*x2*x4 ]
[ x1*x3*x4, x3, x3*x4*x2*x4*x1, x1*x4*x1*x4, x2*x4*x2*x4 ]
[ x2*x4*x2*x4^2, x2*x4*x2*x4*x1, x2, x2*x3*x4*x2*x4*x1, x1*x4*x1*x4 ]
[ x2*x4^3*x2, x1, x2*x4^4, x4^6, x2*x4^4*x2 ]
[ x2*x4^3*x2, x1, x2*x3*x4^4, x4^6, x2*x4^4*x2 ]
[ x2*x4^3*x2, x1, x3, x4^6, x2*x4^4*x2 ]
[ x2*x4^3*x2, x2*x4^4, x2*x3*x4^4, x4^6, x2*x4^4*x2 ]
[ x2*x4^3*x2, x1*x2*x3*x4^4, x2*x4^4, x4^6, x2*x4^4*x2 ]
[ x2*x4^3*x2, x1*x2*x4^4, x2*x3*x4^4, x4^6, x2*x4^4*x2 ]
[ x2*x4^3*x2, x1*x2*x3*x4^4, x3, x4^6, x2*x4^4*x2 ]
[ x1, x2*x4^4, x2*x3*x4^4, x4^6, x2*x4^4*x2 ]
[ x3*x4^5*x2, x1, x2*x4^4, x4^6, x2*x4^4*x2 ]
[ x4^5*x2, x1, x2*x3*x4^4, x4^6, x2*x4^4*x2 ]
[ x3*x4^5*x2, x1, x3, x4^6, x2*x4^4*x2 ]
[ x1*x2*x4^3*x2, x2*x4^4, x2*x3*x4^4, x4^6, x2*x4^4*x2 ]
[ x3*x4^5*x2, x1*x2*x3*x4^4, x2*x4^4, x4^6, x2*x4^4*x2 ]
[ x4^5*x2, x1*x2*x4^4, x2*x3*x4^4, x4^6, x2*x4^4*x2 ]
[ x3*x4^5*x2, x1*x2*x3*x4^4, x3, x4^6, x2*x4^4*x2 ]
[ x2*x4^3*x2, x1, x2*x4^4, x2*x3*x4^4, x4^6 ]
[ x4^3, x1*x4^2, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x4^2, x1*x2*x3*x4*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x4^2, x1*x3*x4*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x2, x1*x2*x3*x4*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x2*x3*x4*x1*x2*x4, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x2*x4^2, x1*x2*x3*x4*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x2*x3*x4*x1*x2*x4, x1*x3*x4*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4^2, x2, x1*x2*x3*x4*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x2*x3*x4*x1*x2, x1*x4^2, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4*x2*x4^2, x1*x4^2, x1*x2*x3*x4*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x2*x3*x4*x1*x2, x1*x4^2, x1*x3*x4*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4*x1, x2, x1*x2*x3*x4*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x2*x3*x4*x1*x2, x1*x2*x3*x4*x1*x2*x4, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4*x2*x4^2, x1*x2*x4^2, x1*x2*x3*x4*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x2*x3*x4*x1*x2, x1*x2*x3*x4*x1*x2*x4, x1*x3*x4*x2*x4, x1*x2*x4*x1*x2*x4,
x4^2 ]
[ x4^3, x1*x4^2, x2, x1*x2*x3*x4*x2*x4, x1*x2*x4*x1*x2*x4 ]
[ x1*x4*x1*x4^2, x1, x1*x4*x1*x4*x2, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4^2, x1, x3*x4*x1*x4*x2, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4^2, x1, x1*x3, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4^2, x1*x4*x1*x4*x2, x3*x4*x1*x4*x2, x1*x2*x4*x1*x2*x4,
x1*x4*x1*x4 ]
[ x1*x4*x1*x4^2, x1*x3*x4*x1*x4*x2, x1*x4*x1*x4*x2, x1*x2*x4*x1*x2*x4,
x1*x4*x1*x4 ]
[ x1*x4*x1*x4^2, x4*x1*x4*x2, x3*x4*x1*x4*x2, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4^2, x1*x3*x4*x1*x4*x2, x1*x3, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4 ]
[ x1, x1*x4*x1*x4*x2, x3*x4*x1*x4*x2, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4 ]
[ x1*x2*x3*x4, x1, x1*x4*x1*x4*x2, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4 ]
[ x1*x2*x4*x1, x1, x3*x4*x1*x4*x2, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4 ]
[ x1*x2*x3*x4, x1, x1*x3, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4 ]
[ x1*x4^3, x1*x4*x1*x4*x2, x3*x4*x1*x4*x2, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4 ]
[ x1*x2*x3*x4, x1*x3*x4*x1*x4*x2, x1*x4*x1*x4*x2, x1*x2*x4*x1*x2*x4,
x1*x4*x1*x4 ]
[ x1*x2*x4*x1, x4*x1*x4*x2, x3*x4*x1*x4*x2, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4 ]
[ x1*x2*x3*x4, x1*x3*x4*x1*x4*x2, x1*x3, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4^2, x1, x1*x4*x1*x4*x2, x3*x4*x1*x4*x2, x1*x2*x4*x1*x2*x4 ]
[ x4^3, x3*x4^2, x1, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3*x4^2, x2*x4^2, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3*x4^2, x1*x2*x4^2, x1*x3*x1*x3, x4^2 ]
[ x4^3, x1, x2*x4^2, x1*x3*x1*x3, x4^2 ]
[ x4^3, x2*x3, x1, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3*x1*x4^2, x2*x4^2, x1*x3*x1*x3, x4^2 ]
[ x4^3, x2*x3, x1*x2*x4^2, x1*x3*x1*x3, x4^2 ]
[ x3*x4^2, x1, x2*x4^2, x1*x3*x1*x3, x4^2 ]
[ x4*x2, x3*x4^2, x1, x1*x3*x1*x3, x4^2 ]
[ x1*x4^3, x3*x4^2, x2*x4^2, x1*x3*x1*x3, x4^2 ]
[ x4*x2, x3*x4^2, x1*x2*x4^2, x1*x3*x1*x3, x4^2 ]
[ x2*x3*x4*x2, x1, x2*x4^2, x1*x3*x1*x3, x4^2 ]
[ x4*x2, x2*x3, x1, x1*x3*x1*x3, x4^2 ]
[ x1*x4^3, x3*x1*x4^2, x2*x4^2, x1*x3*x1*x3, x4^2 ]
[ x4*x2, x2*x3, x1*x2*x4^2, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3*x4^2, x1, x2*x4^2, x1*x3*x1*x3 ]
[ x4^3, x3, x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3, x2*x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3, x2, x1*x3*x1*x3, x4^2 ]
[ x4^3, x4^2*x1, x2*x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x4^3, x2*x3*x4^2*x1, x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3*x4^2*x1, x2*x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x4^3, x2*x3*x4^2*x1, x2, x1*x3*x1*x3, x4^2 ]
[ x3, x4^2*x1, x2*x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4, x3, x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x1*x4, x3, x2*x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4, x3, x2, x1*x3*x1*x3, x4^2 ]
[ x3*x4^3, x4^2*x1, x2*x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4, x2*x3*x4^2*x1, x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x1*x4, x3*x4^2*x1, x2*x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4, x2*x3*x4^2*x1, x2, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3, x4^2*x1, x2*x4^2*x1, x1*x3*x1*x3 ]
[ x1*x4*x1*x4^2, x1, x2, x2*x4*x2*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4^2, x1, x3, x2*x4*x2*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4^2, x1, x2*x3, x2*x4*x2*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4^2, x2, x3, x2*x4*x2*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4^2, x1*x3, x2, x2*x4*x2*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4^2, x1*x2, x3, x2*x4*x2*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4^2, x1*x3, x2*x3, x2*x4*x2*x4, x1*x4*x1*x4 ]
[ x1, x2, x3, x2*x4*x2*x4, x1*x4*x1*x4 ]
[ x1*x3*x4*x1*x4^2, x1, x2, x2*x4*x2*x4, x1*x4*x1*x4 ]
[ x1*x2*x4*x1*x4^2, x1, x3, x2*x4*x2*x4, x1*x4*x1*x4 ]
[ x1*x3*x4*x1*x4^2, x1, x2*x3, x2*x4*x2*x4, x1*x4*x1*x4 ]
[ x1*x4^3, x2, x3, x2*x4*x2*x4, x1*x4*x1*x4 ]
[ x1*x3*x4*x1*x4^2, x1*x3, x2, x2*x4*x2*x4, x1*x4*x1*x4 ]
[ x1*x2*x4*x1*x4^2, x1*x2, x3, x2*x4*x2*x4, x1*x4*x1*x4 ]
[ x1*x3*x4*x1*x4^2, x1*x3, x2*x3, x2*x4*x2*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4^2, x1, x2, x3, x2*x4*x2*x4 ]
[ x1*x4^3, x3*x1, x1, x1*x3*x1*x3, x4^2 ]
[ x1*x4^3, x3*x1, x2, x1*x3*x1*x3, x4^2 ]
[ x1*x4^3, x3*x1, x1*x2, x1*x3*x1*x3, x4^2 ]
[ x1*x4^3, x1, x2, x1*x3*x1*x3, x4^2 ]
[ x1*x4^3, x2*x3*x1, x1, x1*x3*x1*x3, x4^2 ]
[ x1*x4^3, x3, x2, x1*x3*x1*x3, x4^2 ]
[ x1*x4^3, x2*x3*x1, x1*x2, x1*x3*x1*x3, x4^2 ]
[ x3*x1, x1, x2, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4^3, x3*x1, x1, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3*x1, x2, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4^3, x3*x1, x1*x2, x1*x3*x1*x3, x4^2 ]
[ x3*x4^3, x1, x2, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4^3, x2*x3*x1, x1, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3, x2, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4^3, x2*x3*x1, x1*x2, x1*x3*x1*x3, x4^2 ]
[ x1*x4^3, x3*x1, x1, x2, x1*x3*x1*x3 ]
[ x4^3, x3*x4^2*x1, x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3*x4^2*x1, x2*x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3*x4^2*x1, x2, x1*x3*x1*x3, x4^2 ]
[ x4^3, x4^2*x1, x2*x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x4^3, x1*x2*x3*x1, x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3, x2*x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x4^3, x1*x2*x3*x1, x2, x1*x3*x1*x3, x4^2 ]
[ x3*x4^2*x1, x4^2*x1, x2*x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4, x3*x4^2*x1, x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x1*x4, x3*x4^2*x1, x2*x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4, x3*x4^2*x1, x2, x1*x3*x1*x3, x4^2 ]
[ x3*x1*x4, x4^2*x1, x2*x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4, x1*x2*x3*x1, x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x1*x4, x3, x2*x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4, x1*x2*x3*x1, x2, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3*x4^2*x1, x4^2*x1, x2*x4^2*x1, x1*x3*x1*x3 ]
[ x4^3, x3, x1, x2*x3*x2*x3, x4^2 ]
[ x4^3, x3, x2, x2*x3*x2*x3, x4^2 ]
[ x4^3, x3, x1*x2, x2*x3*x2*x3, x4^2 ]
[ x4^3, x1, x2, x2*x3*x2*x3, x4^2 ]
[ x4^3, x3*x2, x1, x2*x3*x2*x3, x4^2 ]
[ x4^3, x1*x3, x2, x2*x3*x2*x3, x4^2 ]
[ x4^3, x3*x2, x1*x2, x2*x3*x2*x3, x4^2 ]
[ x3, x1, x2, x2*x3*x2*x3, x4^2 ]
[ x2*x4^3, x3, x1, x2*x3*x2*x3, x4^2 ]
[ x1*x4^3, x3, x2, x2*x3*x2*x3, x4^2 ]
[ x2*x4^3, x3, x1*x2, x2*x3*x2*x3, x4^2 ]
[ x3*x4^3, x1, x2, x2*x3*x2*x3, x4^2 ]
[ x2*x4^3, x3*x2, x1, x2*x3*x2*x3, x4^2 ]
[ x1*x4^3, x1*x3, x2, x2*x3*x2*x3, x4^2 ]
[ x2*x4^3, x3*x2, x1*x2, x2*x3*x2*x3, x4^2 ]
[ x4^3, x3, x1, x2, x2*x3*x2*x3 ]
[ x4^3, x3, x1, x2*x3*x2*x3, x4^2 ]
[ x4^3, x3, x2, x2*x3*x2*x3, x4^2 ]
[ x4^3, x3, x1*x2, x2*x3*x2*x3, x4^2 ]
[ x4^3, x1, x2, x2*x3*x2*x3, x4^2 ]
[ x4^3, x3*x2, x1, x2*x3*x2*x3, x4^2 ]
[ x4^3, x1*x3, x2, x2*x3*x2*x3, x4^2 ]
[ x4^3, x3*x2, x1*x2, x2*x3*x2*x3, x4^2 ]
[ x3, x1, x2, x2*x3*x2*x3, x4^2 ]
[ x2*x4^3, x3, x1, x2*x3*x2*x3, x4^2 ]
[ x1*x4^3, x3, x2, x2*x3*x2*x3, x4^2 ]
[ x2*x4^3, x3, x1*x2, x2*x3*x2*x3, x4^2 ]
[ x3*x4^3, x1, x2, x2*x3*x2*x3, x4^2 ]
[ x2*x4^3, x3*x2, x1, x2*x3*x2*x3, x4^2 ]
[ x1*x4^3, x1*x3, x2, x2*x3*x2*x3, x4^2 ]
[ x2*x4^3, x3*x2, x1*x2, x2*x3*x2*x3, x4^2 ]
[ x4^3, x3, x1, x2, x2*x3*x2*x3 ]
[ x4^3, x4^2*x1, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x4^2*x1, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x4^2*x1, x2*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x3*x4^2*x1, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x2*x3*x4^2*x1, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x3, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x2*x3*x4^2*x1, x2*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^2*x1, x3*x4^2*x1, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4*x2*x4^2, x4^2*x1, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4, x4^2*x1, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4*x2*x4^2, x4^2*x1, x2*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4, x3*x4^2*x1, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4*x2*x4^2, x2*x3*x4^2*x1, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4, x3, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4*x2*x4^2, x2*x3*x4^2*x1, x2*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x4^2*x1, x3*x4^2*x1, x2*x3, x1*x2*x4*x1*x2*x4 ]
[ x4^3, x4^2*x1, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x4^2*x1, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x4^2*x1, x2*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x3*x4^2*x1, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x2*x3*x4^2*x1, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x3, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x2*x3*x4^2*x1, x2*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^2*x1, x3*x4^2*x1, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4*x2*x4^2, x4^2*x1, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4, x4^2*x1, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4*x2*x4^2, x4^2*x1, x2*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4, x3*x4^2*x1, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4*x2*x4^2, x2*x3*x4^2*x1, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4, x3, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4*x2*x4^2, x2*x3*x4^2*x1, x2*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x4^2*x1, x3*x4^2*x1, x2*x3, x1*x2*x4*x1*x2*x4 ]
[ x4, x3^3, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x4, x3^3, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x4, x3^3, x1*x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x4, x1, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x4, x3*x2*x3^2, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x4, x1*x3^3, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x4, x3*x2*x3^2, x1*x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x2*x4, x3^3, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1*x4, x3^3, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x2*x4, x3^3, x1*x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3*x4, x1, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x2*x4, x3*x2*x3^2, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1*x4, x1*x3^3, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x2*x4, x3*x2*x3^2, x1*x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x4, x3^3, x1, x2, x1*x2*x3*x1*x2*x3 ]
[ x4^3, x3, x2, x1*x2*x1*x2, x4^2 ]
[ x4^3, x3, x1, x1*x2*x1*x2, x4^2 ]
[ x4^3, x3, x2*x1, x1*x2*x1*x2, x4^2 ]
[ x4^3, x2, x1, x1*x2*x1*x2, x4^2 ]
[ x4^3, x1*x3, x2, x1*x2*x1*x2, x4^2 ]
[ x4^3, x2*x3, x1, x1*x2*x1*x2, x4^2 ]
[ x4^3, x1*x3, x2*x1, x1*x2*x1*x2, x4^2 ]
[ x3, x2, x1, x1*x2*x1*x2, x4^2 ]
[ x1*x4^3, x3, x2, x1*x2*x1*x2, x4^2 ]
[ x2*x4^3, x3, x1, x1*x2*x1*x2, x4^2 ]
[ x1*x4^3, x3, x2*x1, x1*x2*x1*x2, x4^2 ]
[ x3*x4^3, x2, x1, x1*x2*x1*x2, x4^2 ]
[ x1*x4^3, x1*x3, x2, x1*x2*x1*x2, x4^2 ]
[ x2*x4^3, x2*x3, x1, x1*x2*x1*x2, x4^2 ]
[ x1*x4^3, x1*x3, x2*x1, x1*x2*x1*x2, x4^2 ]
[ x4^3, x3, x2, x1, x1*x2*x1*x2 ]
[ x4^3, x3*x4^2*x1, x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3*x4^2*x1, x2*x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3*x4^2*x1, x2, x1*x3*x1*x3, x4^2 ]
[ x4^3, x4^2*x1, x2*x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x4^3, x1*x2*x3*x1, x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3, x2*x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x4^3, x1*x2*x3*x1, x2, x1*x3*x1*x3, x4^2 ]
[ x3*x4^2*x1, x4^2*x1, x2*x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4, x3*x4^2*x1, x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x1*x4, x3*x4^2*x1, x2*x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4, x3*x4^2*x1, x2, x1*x3*x1*x3, x4^2 ]
[ x1*x3*x4, x4^2*x1, x2*x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4, x1*x2*x3*x1, x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x1*x4, x3, x2*x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4, x1*x2*x3*x1, x2, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3*x4^2*x1, x4^2*x1, x2*x4^2*x1, x1*x3*x1*x3 ]
[ x4^3, x1, x1*x2, x1*x4*x1*x4, x4^2 ]
[ x4^3, x1, x3, x1*x4*x1*x4, x4^2 ]
[ x4^3, x1, x1*x2*x3, x1*x4*x1*x4, x4^2 ]
[ x4^3, x1*x2, x3, x1*x4*x1*x4, x4^2 ]
[ x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x4^2 ]
[ x4^3, x2, x3, x1*x4*x1*x4, x4^2 ]
[ x4^3, x1*x3, x1*x2*x3, x1*x4*x1*x4, x4^2 ]
[ x1, x1*x2, x3, x1*x4*x1*x4, x4^2 ]
[ x3*x4^3, x1, x1*x2, x1*x4*x1*x4, x4^2 ]
[ x2*x4^3*x1, x1, x3, x1*x4*x1*x4, x4^2 ]
[ x3*x4^3, x1, x1*x2*x3, x1*x4*x1*x4, x4^2 ]
[ x4^3*x1, x1*x2, x3, x1*x4*x1*x4, x4^2 ]
[ x3*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x4^2 ]
[ x2*x4^3*x1, x2, x3, x1*x4*x1*x4, x4^2 ]
[ x3*x4^3, x1*x3, x1*x2*x3, x1*x4*x1*x4, x4^2 ]
[ x4^3, x1, x1*x2, x3, x1*x4*x1*x4 ]
[ x4^3, x4^2*x1, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x4^2*x1, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x4^2*x1, x2*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x3*x4^2*x1, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x2*x3*x4^2*x1, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x3, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x2*x3*x4^2*x1, x2*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^2*x1, x3*x4^2*x1, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4*x2*x4^2, x4^2*x1, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4, x4^2*x1, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4*x2*x4^2, x4^2*x1, x2*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4, x3*x4^2*x1, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4*x2*x4^2, x2*x3*x4^2*x1, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4, x3, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4*x2*x4^2, x2*x3*x4^2*x1, x2*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x4^2*x1, x3*x4^2*x1, x2*x3, x1*x2*x4*x1*x2*x4 ]
[ x4^3, x3*x1, x1, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3*x1, x1*x4^2*x2, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3*x1, x4^2*x2, x1*x3*x1*x3, x4^2 ]
[ x4^3, x1, x1*x4^2*x2, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3*x4^2*x2, x1, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3, x1*x4^2*x2, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3*x4^2*x2, x4^2*x2, x1*x3*x1*x3, x4^2 ]
[ x3*x1, x1, x1*x4^2*x2, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4, x3*x1, x1, x1*x3*x1*x3, x4^2 ]
[ x1*x4^3, x3*x1, x1*x4^2*x2, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4, x3*x1, x4^2*x2, x1*x3*x1*x3, x4^2 ]
[ x3*x1*x4^3, x1, x1*x4^2*x2, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4, x3*x4^2*x2, x1, x1*x3*x1*x3, x4^2 ]
[ x1*x4^3, x3, x1*x4^2*x2, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4, x3*x4^2*x2, x4^2*x2, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3*x1, x1, x1*x4^2*x2, x1*x3*x1*x3 ]
[ x2*x4*x2*x4^2, x2*x4*x2*x4*x1, x4*x2*x4*x1, x1*x2*x4*x1*x2*x4, x2*x4*x2*x4 ]
[ x2*x4*x2*x4^2, x2*x4*x2*x4*x1, x3, x1*x2*x4*x1*x2*x4, x2*x4*x2*x4 ]
[ x2*x4*x2*x4^2, x2*x4*x2*x4*x1, x3*x4*x2*x4*x1, x1*x2*x4*x1*x2*x4,
x2*x4*x2*x4 ]
[ x2*x4*x2*x4^2, x4*x2*x4*x1, x3, x1*x2*x4*x1*x2*x4, x2*x4*x2*x4 ]
[ x2*x4*x2*x4^2, x2*x3*x4*x2*x4*x1, x4*x2*x4*x1, x1*x2*x4*x1*x2*x4,
x2*x4*x2*x4 ]
[ x2*x4*x2*x4^2, x2, x3, x1*x2*x4*x1*x2*x4, x2*x4*x2*x4 ]
[ x2*x4*x2*x4^2, x2*x3*x4*x2*x4*x1, x3*x4*x2*x4*x1, x1*x2*x4*x1*x2*x4,
x2*x4*x2*x4 ]
[ x2*x4*x2*x4*x1, x4*x2*x4*x1, x3, x1*x2*x4*x1*x2*x4, x2*x4*x2*x4 ]
[ x2*x3*x4*x2*x4^2, x2*x4*x2*x4*x1, x4*x2*x4*x1, x1*x2*x4*x1*x2*x4,
x2*x4*x2*x4 ]
[ x1*x2*x4, x2*x4*x2*x4*x1, x3, x1*x2*x4*x1*x2*x4, x2*x4*x2*x4 ]
[ x2*x3*x4*x2*x4^2, x2*x4*x2*x4*x1, x3*x4*x2*x4*x1, x1*x2*x4*x1*x2*x4,
x2*x4*x2*x4 ]
[ x1*x2*x4*x2, x4*x2*x4*x1, x3, x1*x2*x4*x1*x2*x4, x2*x4*x2*x4 ]
[ x2*x3*x4*x2*x4^2, x2*x3*x4*x2*x4*x1, x4*x2*x4*x1, x1*x2*x4*x1*x2*x4,
x2*x4*x2*x4 ]
[ x1*x2*x4, x2, x3, x1*x2*x4*x1*x2*x4, x2*x4*x2*x4 ]
[ x2*x3*x4*x2*x4^2, x2*x3*x4*x2*x4*x1, x3*x4*x2*x4*x1, x1*x2*x4*x1*x2*x4,
x2*x4*x2*x4 ]
[ x2*x4*x2*x4^2, x2*x4*x2*x4*x1, x4*x2*x4*x1, x3, x1*x2*x4*x1*x2*x4 ]
[ x4^3, x1*x4^2, x2, x2^2, x4^2 ]
[ x4^3, x1*x4^2, x3, x2^2, x4^2 ]
[ x4^3, x1*x4^2, x2*x3, x2^2, x4^2 ]
[ x4^3, x2, x3, x2^2, x4^2 ]
[ x4^3, x1*x3*x4^2, x2, x2^2, x4^2 ]
[ x4^3, x1*x2*x4^2, x3, x2^2, x4^2 ]
[ x4^3, x1*x3*x4^2, x2*x3, x2^2, x4^2 ]
[ x1*x4^2, x2, x3, x2^2, x4^2 ]
[ x3*x4^3, x1*x4^2, x2, x2^2, x4^2 ]
[ x2^3*x4^3, x1*x4^2, x3, x2^2, x4^2 ]
[ x3*x4^3, x1*x4^2, x2*x3, x2^2, x4^2 ]
[ x4*x1, x2, x3, x2^2, x4^2 ]
[ x3*x4^3, x1*x3*x4^2, x2, x2^2, x4^2 ]
[ x2^3*x4^3, x1*x2*x4^2, x3, x2^2, x4^2 ]
[ x3*x4^3, x1*x3*x4^2, x2*x3, x2^2, x4^2 ]
[ x4^3, x1*x4^2, x2, x3, x2^2 ]
[ x4, x3^3, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x4, x3^3, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x4, x3^3, x1*x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x4, x1, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x4, x3*x2*x3^2, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x4, x1*x3^3, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x4, x3*x2*x3^2, x1*x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x2*x4, x3^3, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1*x4, x3^3, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x2*x4, x3^3, x1*x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3*x4, x1, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x2*x4, x3*x2*x3^2, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1*x4, x1*x3^3, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x2*x4, x3*x2*x3^2, x1*x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x4, x3^3, x1, x2, x1*x2*x3*x1*x2*x3 ]
[ x4*x1*x4*x1*x4, x3, x1, x2*x3*x2*x3, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x3, x2, x2*x3*x2*x3, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x3, x1*x2, x2*x3*x2*x3, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x1, x2, x2*x3*x2*x3, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x3*x2, x1, x2*x3*x2*x3, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x1*x3, x2, x2*x3*x2*x3, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x3*x2, x1*x2, x2*x3*x2*x3, x1*x4*x1*x4 ]
[ x3, x1, x2, x2*x3*x2*x3, x1*x4*x1*x4 ]
[ x2*x4*x1*x4*x1*x4, x3, x1, x2*x3*x2*x3, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x3, x2, x2*x3*x2*x3, x1*x4*x1*x4 ]
[ x2*x4*x1*x4*x1*x4, x3, x1*x2, x2*x3*x2*x3, x1*x4*x1*x4 ]
[ x3*x4*x1*x4*x1*x4, x1, x2, x2*x3*x2*x3, x1*x4*x1*x4 ]
[ x2*x4*x1*x4*x1*x4, x3*x2, x1, x2*x3*x2*x3, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x1*x3, x2, x2*x3*x2*x3, x1*x4*x1*x4 ]
[ x2*x4*x1*x4*x1*x4, x3*x2, x1*x2, x2*x3*x2*x3, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x3, x1, x2, x2*x3*x2*x3 ]
[ x2*x4^3*x2, x1, x1*x2, x4^6, x2*x4^4*x2 ]
[ x2*x4^3*x2, x1, x1*x3, x4^6, x2*x4^4*x2 ]
[ x2*x4^3*x2, x1, x2*x3, x4^6, x2*x4^4*x2 ]
[ x2*x4^3*x2, x1*x2, x1*x3, x4^6, x2*x4^4*x2 ]
[ x2*x4^3*x2, x3, x1*x2, x4^6, x2*x4^4*x2 ]
[ x2*x4^3*x2, x2, x1*x3, x4^6, x2*x4^4*x2 ]
[ x2*x4^3*x2, x3, x2*x3, x4^6, x2*x4^4*x2 ]
[ x1, x1*x2, x1*x3, x4^6, x2*x4^4*x2 ]
[ x1*x2*x3*x4^3*x2, x1, x1*x2, x4^6, x2*x4^4*x2 ]
[ x1*x2*x4^3, x1, x1*x3, x4^6, x2*x4^4*x2 ]
[ x1*x2*x3*x4^3*x2, x1, x2*x3, x4^6, x2*x4^4*x2 ]
[ x1*x2*x4^3*x2, x1*x2, x1*x3, x4^6, x2*x4^4*x2 ]
[ x1*x2*x3*x4^3*x2, x3, x1*x2, x4^6, x2*x4^4*x2 ]
[ x1*x2*x4^3, x2, x1*x3, x4^6, x2*x4^4*x2 ]
[ x1*x2*x3*x4^3*x2, x3, x2*x3, x4^6, x2*x4^4*x2 ]
[ x2*x4^3*x2, x1, x1*x2, x1*x3, x4^6 ]
[ x4^3, x3*x1, x1, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3*x1, x1*x4^2*x2, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3*x1, x4^2*x2, x1*x3*x1*x3, x4^2 ]
[ x4^3, x1, x1*x4^2*x2, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3*x4^2*x2, x1, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3, x1*x4^2*x2, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3*x4^2*x2, x4^2*x2, x1*x3*x1*x3, x4^2 ]
[ x3*x1, x1, x1*x4^2*x2, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4, x3*x1, x1, x1*x3*x1*x3, x4^2 ]
[ x1*x4^3, x3*x1, x1*x4^2*x2, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4, x3*x1, x4^2*x2, x1*x3*x1*x3, x4^2 ]
[ x3*x1*x4^3, x1, x1*x4^2*x2, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4, x3*x4^2*x2, x1, x1*x3*x1*x3, x4^2 ]
[ x1*x4^3, x3, x1*x4^2*x2, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4, x3*x4^2*x2, x4^2*x2, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3*x1, x1, x1*x4^2*x2, x1*x3*x1*x3 ]
[ x1*x4^3*x1, x1*x4^4, x1*x2*x4^4, x4^6, x1*x4^4*x1 ]
[ x1*x4^3*x1, x1*x4^4, x3, x4^6, x1*x4^4*x1 ]
[ x1*x4^3*x1, x1*x4^4, x1*x2*x3*x4^4, x4^6, x1*x4^4*x1 ]
[ x1*x4^3*x1, x1*x2*x4^4, x3, x4^6, x1*x4^4*x1 ]
[ x1*x4^3*x1, x1*x3*x4^4, x1*x2*x4^4, x4^6, x1*x4^4*x1 ]
[ x1*x4^3*x1, x2, x3, x4^6, x1*x4^4*x1 ]
[ x1*x4^3*x1, x1*x3*x4^4, x1*x2*x3*x4^4, x4^6, x1*x4^4*x1 ]
[ x1*x4^4, x1*x2*x4^4, x3, x4^6, x1*x4^4*x1 ]
[ x1*x3*x4^3*x1, x1*x4^4, x1*x2*x4^4, x4^6, x1*x4^4*x1 ]
[ x2*x4^5*x1, x1*x4^4, x3, x4^6, x1*x4^4*x1 ]
[ x1*x3*x4^3*x1, x1*x4^4, x1*x2*x3*x4^4, x4^6, x1*x4^4*x1 ]
[ x4^5*x1, x1*x2*x4^4, x3, x4^6, x1*x4^4*x1 ]
[ x1*x3*x4^3*x1, x1*x3*x4^4, x1*x2*x4^4, x4^6, x1*x4^4*x1 ]
[ x2*x4^5*x1, x2, x3, x4^6, x1*x4^4*x1 ]
[ x1*x3*x4^3*x1, x1*x3*x4^4, x1*x2*x3*x4^4, x4^6, x1*x4^4*x1 ]
[ x1*x4^3*x1, x1*x4^4, x1*x2*x4^4, x3, x4^6 ]
[ x4, x3^3, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x4, x3^3, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x4, x3^3, x1*x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x4, x1, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x4, x2*x3^3, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x4, x3*x1*x3^2, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x4, x2*x3^3, x1*x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x2*x4, x3^3, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1*x4, x3^3, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x2*x4, x3^3, x1*x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3*x4, x1, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x2*x4, x2*x3^3, x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1*x4, x3*x1*x3^2, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x2*x4, x2*x3^3, x1*x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x4, x3^3, x1, x2, x1*x2*x3*x1*x2*x3 ]
[ x4^3, x1*x4^2, x2, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x1*x4^2, x2*x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x1*x4^2, x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x2, x2*x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x1*x2*x3*x4^2, x2, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x1*x2*x4^2, x2*x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x1*x2*x3*x4^2, x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x4^2, x2, x2*x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x2*x4*x3*x4^2, x1*x4^2, x2, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x2*x4^3, x1*x4^2, x2*x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x2*x4*x3*x4^2, x1*x4^2, x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4*x1, x2, x2*x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x2*x4*x3*x4^2, x1*x2*x3*x4^2, x2, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x2*x4^3, x1*x2*x4^2, x2*x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x2*x4*x3*x4^2, x1*x2*x3*x4^2, x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x1*x4^2, x2, x2*x3, x1*x3*x4*x1*x3*x4 ]
[ x4^3, x4^2*x1, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x4^2*x1, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x4^2*x1, x2*x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x2, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x3, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x2*x4^2*x1, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x3, x2*x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^2*x1, x2, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4, x4^2*x1, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4*x2*x4^2, x4^2*x1, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4, x4^2*x1, x2*x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4, x2, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4, x3, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4*x2*x4^2, x2*x4^2*x1, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4, x3, x2*x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x4^2*x1, x2, x3*x4^2*x1, x1*x2*x4*x1*x2*x4 ]
[ x4^3, x4^2*x1, x2*x4^2*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x4^2*x1, x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x4^2*x1, x2*x3*x4^2*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x2*x4^2*x1, x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x3*x4^2*x1, x2*x4^2*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x2, x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x3*x4^2*x1, x2*x3*x4^2*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^2*x1, x2*x4^2*x1, x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4*x3*x4^2, x4^2*x1, x2*x4^2*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x2*x4, x4^2*x1, x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4*x3*x4^2, x4^2*x1, x2*x3*x4^2*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x4, x2*x4^2*x1, x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4*x3*x4^2, x3*x4^2*x1, x2*x4^2*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x2*x4, x2, x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4*x3*x4^2, x3*x4^2*x1, x2*x3*x4^2*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x4^2*x1, x2*x4^2*x1, x3, x1*x3*x4*x1*x3*x4 ]
[ x4^3, x1*x4^2, x2, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x1*x4^2, x1*x2*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x1*x4^2, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x2, x1*x2*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x1*x2*x4*x3*x4, x2, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x1*x2*x4^2, x1*x2*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x1*x2*x4*x3*x4, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x4^2, x2, x1*x2*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x2*x3*x4^3, x1*x4^2, x2, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x2*x4^3, x1*x4^2, x1*x2*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x2*x3*x4^3, x1*x4^2, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4*x1, x2, x1*x2*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x2*x3*x4^3, x1*x2*x4*x3*x4, x2, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x2*x4^3, x1*x2*x4^2, x1*x2*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x2*x3*x4^3, x1*x2*x4*x3*x4, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x1*x4^2, x2, x1*x2*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4 ]
[ x4^3, x4^2*x1, x2*x4^2*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x4^2*x1, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x4^2*x1, x2*x4*x3*x4*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x2*x4^2*x1, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x4*x3*x4*x1, x2*x4^2*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x2, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x4*x3*x4*x1, x2*x4*x3*x4*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^2*x1, x2*x4^2*x1, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x3*x4^3, x4^2*x1, x2*x4^2*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x2*x4, x4^2*x1, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x3*x4^3, x4^2*x1, x2*x4*x3*x4*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x4, x2*x4^2*x1, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x3*x4^3, x4*x3*x4*x1, x2*x4^2*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x2*x4, x2, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x3*x4^3, x4*x3*x4*x1, x2*x4*x3*x4*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x4^2*x1, x2*x4^2*x1, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4 ]
[ x4^3, x3, x4^2*x1, x2*x3*x2*x3, x4^2 ]
[ x4^3, x3, x2*x4^2*x1, x2*x3*x2*x3, x4^2 ]
[ x4^3, x3, x2, x2*x3*x2*x3, x4^2 ]
[ x4^3, x4^2*x1, x2*x4^2*x1, x2*x3*x2*x3, x4^2 ]
[ x4^3, x3*x2*x4^2*x1, x4^2*x1, x2*x3*x2*x3, x4^2 ]
[ x4^3, x3*x4^2*x1, x2*x4^2*x1, x2*x3*x2*x3, x4^2 ]
[ x4^3, x3*x2*x4^2*x1, x2, x2*x3*x2*x3, x4^2 ]
[ x3, x4^2*x1, x2*x4^2*x1, x2*x3*x2*x3, x4^2 ]
[ x1*x2*x4, x3, x4^2*x1, x2*x3*x2*x3, x4^2 ]
[ x1*x4, x3, x2*x4^2*x1, x2*x3*x2*x3, x4^2 ]
[ x1*x2*x4, x3, x2, x2*x3*x2*x3, x4^2 ]
[ x2*x3*x2*x4^3, x4^2*x1, x2*x4^2*x1, x2*x3*x2*x3, x4^2 ]
[ x1*x2*x4, x3*x2*x4^2*x1, x4^2*x1, x2*x3*x2*x3, x4^2 ]
[ x1*x4, x3*x4^2*x1, x2*x4^2*x1, x2*x3*x2*x3, x4^2 ]
[ x1*x2*x4, x3*x2*x4^2*x1, x2, x2*x3*x2*x3, x4^2 ]
[ x4^3, x3, x4^2*x1, x2*x4^2*x1, x2*x3*x2*x3 ]
[ x4^3, x1*x4^2, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x4^2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x4^2, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x3*x4^2, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x2*x4^2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x3*x4^2, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4^2, x2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4^3, x1*x4^2, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4*x2*x4^2, x1*x4^2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4^3, x1*x4^2, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4*x1, x2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4^3, x1*x3*x4^2, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4*x2*x4^2, x1*x2*x4^2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4^3, x1*x3*x4^2, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x4^2, x2, x3, x1*x2*x4*x1*x2*x4 ]
[ x4^3, x4^2*x1, x2, x1*x4*x1*x4, x4^2 ]
[ x4^3, x4^2*x1, x3*x4^2*x1, x1*x4*x1*x4, x4^2 ]
[ x4^3, x4^2*x1, x2*x3*x4^2*x1, x1*x4*x1*x4, x4^2 ]
[ x4^3, x2, x3*x4^2*x1, x1*x4*x1*x4, x4^2 ]
[ x4^3, x3, x2, x1*x4*x1*x4, x4^2 ]
[ x4^3, x2*x4^2*x1, x3*x4^2*x1, x1*x4*x1*x4, x4^2 ]
[ x4^3, x3, x2*x3*x4^2*x1, x1*x4*x1*x4, x4^2 ]
[ x4^2*x1, x2, x3*x4^2*x1, x1*x4*x1*x4, x4^2 ]
[ x1*x3*x4, x4^2*x1, x2, x1*x4*x1*x4, x4^2 ]
[ x2*x4^3, x4^2*x1, x3*x4^2*x1, x1*x4*x1*x4, x4^2 ]
[ x1*x3*x4, x4^2*x1, x2*x3*x4^2*x1, x1*x4*x1*x4, x4^2 ]
[ x1*x3*x4*x3, x2, x3*x4^2*x1, x1*x4*x1*x4, x4^2 ]
[ x1*x3*x4, x3, x2, x1*x4*x1*x4, x4^2 ]
[ x2*x4^3, x2*x4^2*x1, x3*x4^2*x1, x1*x4*x1*x4, x4^2 ]
[ x1*x3*x4, x3, x2*x3*x4^2*x1, x1*x4*x1*x4, x4^2 ]
[ x4^3, x4^2*x1, x2, x3*x4^2*x1, x1*x4*x1*x4 ]
[ x4^3, x4^2*x1, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x4^2*x1, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x4^2*x1, x2*x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x2, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x3, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x2*x4^2*x1, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x3, x2*x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^2*x1, x2, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4, x4^2*x1, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4*x2*x4^2, x4^2*x1, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4, x4^2*x1, x2*x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4, x2, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4, x3, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4*x2*x4^2, x2*x4^2*x1, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4, x3, x2*x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x4^2*x1, x2, x3*x4^2*x1, x1*x2*x4*x1*x2*x4 ]
[ x4^3, x1, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x3, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x3, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1, x2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4^3, x1, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4*x2*x4^2, x1, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4^3, x1, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4^3, x2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4^3, x1*x3, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4*x2*x4^2, x1*x2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4^3, x1*x3, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1, x2, x3, x1*x2*x4*x1*x2*x4 ]
[ x4^3, x4^2*x1, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x4^2*x1, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x4^2*x1, x2*x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x2, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x3, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x2*x4^2*x1, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x3, x2*x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^2*x1, x2, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4, x4^2*x1, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4*x2*x4^2, x4^2*x1, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4, x4^2*x1, x2*x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4, x2, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4, x3, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4*x2*x4^2, x2*x4^2*x1, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4, x3, x2*x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x4^2*x1, x2, x3*x4^2*x1, x1*x2*x4*x1*x2*x4 ]
[ x4^3, x1, x4^2*x2, x2*x4*x2*x4, x4^2 ]
[ x4^3, x1, x3*x4^2*x2, x2*x4*x2*x4, x4^2 ]
[ x4^3, x1, x3, x2*x4*x2*x4, x4^2 ]
[ x4^3, x4^2*x2, x3*x4^2*x2, x2*x4*x2*x4, x4^2 ]
[ x4^3, x1*x3*x4^2*x2, x4^2*x2, x2*x4*x2*x4, x4^2 ]
[ x4^3, x1*x4^2*x2, x3*x4^2*x2, x2*x4*x2*x4, x4^2 ]
[ x4^3, x1*x3*x4^2*x2, x3, x2*x4*x2*x4, x4^2 ]
[ x1, x4^2*x2, x3*x4^2*x2, x2*x4*x2*x4, x4^2 ]
[ x2*x3*x4, x1, x4^2*x2, x2*x4*x2*x4, x4^2 ]
[ x2*x3*x4*x3, x1, x3*x4^2*x2, x2*x4*x2*x4, x4^2 ]
[ x2*x3*x4, x1, x3, x2*x4*x2*x4, x4^2 ]
[ x1*x4^3, x4^2*x2, x3*x4^2*x2, x2*x4*x2*x4, x4^2 ]
[ x2*x3*x4, x1*x3*x4^2*x2, x4^2*x2, x2*x4*x2*x4, x4^2 ]
[ x2*x3*x4*x3, x1*x4^2*x2, x3*x4^2*x2, x2*x4*x2*x4, x4^2 ]
[ x2*x3*x4, x1*x3*x4^2*x2, x3, x2*x4*x2*x4, x4^2 ]
[ x4^3, x1, x4^2*x2, x3*x4^2*x2, x2*x4*x2*x4 ]
[ x4^3, x4^2*x1, x2*x4^2*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x4^2*x1, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x4^2*x1, x2*x4*x3*x4*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x2*x4^2*x1, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x4*x3*x4*x1, x2*x4^2*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x2, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x4*x3*x4*x1, x2*x4*x3*x4*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^2*x1, x2*x4^2*x1, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x3*x4^3, x4^2*x1, x2*x4^2*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x2*x4, x4^2*x1, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x3*x4^3, x4^2*x1, x2*x4*x3*x4*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x4, x2*x4^2*x1, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x3*x4^3, x4*x3*x4*x1, x2*x4^2*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x2*x4, x2, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x3*x4^3, x4*x3*x4*x1, x2*x4*x3*x4*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x4^2*x1, x2*x4^2*x1, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4 ]
[ x4^3, x3, x1*x4^2, x2*x3*x2*x3, x4^2 ]
[ x4^3, x3, x2, x2*x3*x2*x3, x4^2 ]
[ x4^3, x3, x1*x2*x4^2, x2*x3*x2*x3, x4^2 ]
[ x4^3, x1*x4^2, x2, x2*x3*x2*x3, x4^2 ]
[ x4^3, x3*x2, x1*x4^2, x2*x3*x2*x3, x4^2 ]
[ x4^3, x1*x3*x4^2, x2, x2*x3*x2*x3, x4^2 ]
[ x4^3, x3*x2, x1*x2*x4^2, x2*x3*x2*x3, x4^2 ]
[ x3, x1*x4^2, x2, x2*x3*x2*x3, x4^2 ]
[ x2*x4^3, x3, x1*x4^2, x2*x3*x2*x3, x4^2 ]
[ x4*x1, x3, x2, x2*x3*x2*x3, x4^2 ]
[ x2*x4^3, x3, x1*x2*x4^2, x2*x3*x2*x3, x4^2 ]
[ x3*x4^3, x1*x4^2, x2, x2*x3*x2*x3, x4^2 ]
[ x2*x4^3, x3*x2, x1*x4^2, x2*x3*x2*x3, x4^2 ]
[ x4*x1, x1*x3*x4^2, x2, x2*x3*x2*x3, x4^2 ]
[ x2*x4^3, x3*x2, x1*x2*x4^2, x2*x3*x2*x3, x4^2 ]
[ x4^3, x3, x1*x4^2, x2, x2*x3*x2*x3 ]
[ x4*x2*x4*x2*x4, x3, x1, x1*x3*x1*x3, x2*x4*x2*x4 ]
[ x4*x2*x4*x2*x4, x3, x2, x1*x3*x1*x3, x2*x4*x2*x4 ]
[ x4*x2*x4*x2*x4, x3, x1*x2, x1*x3*x1*x3, x2*x4*x2*x4 ]
[ x4*x2*x4*x2*x4, x1, x2, x1*x3*x1*x3, x2*x4*x2*x4 ]
[ x4*x2*x4*x2*x4, x2*x3, x1, x1*x3*x1*x3, x2*x4*x2*x4 ]
[ x4*x2*x4*x2*x4, x3*x1, x2, x1*x3*x1*x3, x2*x4*x2*x4 ]
[ x4*x2*x4*x2*x4, x2*x3, x1*x2, x1*x3*x1*x3, x2*x4*x2*x4 ]
[ x3, x1, x2, x1*x3*x1*x3, x2*x4*x2*x4 ]
[ x2*x4*x2*x4*x2*x4, x3, x1, x1*x3*x1*x3, x2*x4*x2*x4 ]
[ x1*x4*x2*x4*x2*x4, x3, x2, x1*x3*x1*x3, x2*x4*x2*x4 ]
[ x2*x4*x2*x4*x2*x4, x3, x1*x2, x1*x3*x1*x3, x2*x4*x2*x4 ]
[ x3*x4*x2*x4*x2*x4, x1, x2, x1*x3*x1*x3, x2*x4*x2*x4 ]
[ x2*x4*x2*x4*x2*x4, x2*x3, x1, x1*x3*x1*x3, x2*x4*x2*x4 ]
[ x1*x4*x2*x4*x2*x4, x3*x1, x2, x1*x3*x1*x3, x2*x4*x2*x4 ]
[ x2*x4*x2*x4*x2*x4, x2*x3, x1*x2, x1*x3*x1*x3, x2*x4*x2*x4 ]
[ x4*x2*x4*x2*x4, x3, x1, x2, x1*x3*x1*x3 ]
[ x4*x2*x4*x2*x4, x3, x1, x3^2, x2*x4*x2*x4 ]
[ x4*x2*x4*x2*x4, x3, x2, x3^2, x2*x4*x2*x4 ]
[ x4*x2*x4*x2*x4, x3, x1*x2, x3^2, x2*x4*x2*x4 ]
[ x4*x2*x4*x2*x4, x1, x2, x3^2, x2*x4*x2*x4 ]
[ x4*x2*x4*x2*x4, x2*x3, x1, x3^2, x2*x4*x2*x4 ]
[ x4*x2*x4*x2*x4, x3*x1, x2, x3^2, x2*x4*x2*x4 ]
[ x4*x2*x4*x2*x4, x2*x3, x1*x2, x3^2, x2*x4*x2*x4 ]
[ x3, x1, x2, x3^2, x2*x4*x2*x4 ]
[ x2*x4*x2*x4*x2*x4, x3, x1, x3^2, x2*x4*x2*x4 ]
[ x1*x4*x2*x4*x2*x4, x3, x2, x3^2, x2*x4*x2*x4 ]
[ x2*x4*x2*x4*x2*x4, x3, x1*x2, x3^2, x2*x4*x2*x4 ]
[ x3*x4*x2*x4*x2*x4, x1, x2, x3^2, x2*x4*x2*x4 ]
[ x2*x4*x2*x4*x2*x4, x2*x3, x1, x3^2, x2*x4*x2*x4 ]
[ x1*x4*x2*x4*x2*x4, x3*x1, x2, x3^2, x2*x4*x2*x4 ]
[ x2*x4*x2*x4*x2*x4, x2*x3, x1*x2, x3^2, x2*x4*x2*x4 ]
[ x4*x2*x4*x2*x4, x3, x1, x2, x3^2 ]
[ x4, x3^3, x1, x2^2, x3^2 ]
[ x4, x3^3, x2, x2^2, x3^2 ]
[ x4, x3^3, x1*x2, x2^2, x3^2 ]
[ x4, x1, x2, x2^2, x3^2 ]
[ x4, x2^3*x3^3, x1, x2^2, x3^2 ]
[ x4, x1*x3^3, x2, x2^2, x3^2 ]
[ x4, x2^3*x3^3, x1*x2, x2^2, x3^2 ]
[ x3^3, x1, x2, x2^2, x3^2 ]
[ x2*x4, x3^3, x1, x2^2, x3^2 ]
[ x1*x4, x3^3, x2, x2^2, x3^2 ]
[ x2*x4, x3^3, x1*x2, x2^2, x3^2 ]
[ x3^3*x4, x1, x2, x2^2, x3^2 ]
[ x2*x4, x2^3*x3^3, x1, x2^2, x3^2 ]
[ x1*x4, x1*x3^3, x2, x2^2, x3^2 ]
[ x2*x4, x2^3*x3^3, x1*x2, x2^2, x3^2 ]
[ x4, x3^3, x1, x2, x2^2 ]
[ x4*x1*x4*x1*x4, x3, x1, x1*x3*x1*x3, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x3, x2, x1*x3*x1*x3, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x3, x1*x2, x1*x3*x1*x3, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x1, x2, x1*x3*x1*x3, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x2*x3, x1, x1*x3*x1*x3, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x3*x1, x2, x1*x3*x1*x3, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x2*x3, x1*x2, x1*x3*x1*x3, x1*x4*x1*x4 ]
[ x3, x1, x2, x1*x3*x1*x3, x1*x4*x1*x4 ]
[ x2*x4*x1*x4*x1*x4, x3, x1, x1*x3*x1*x3, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x3, x2, x1*x3*x1*x3, x1*x4*x1*x4 ]
[ x2*x4*x1*x4*x1*x4, x3, x1*x2, x1*x3*x1*x3, x1*x4*x1*x4 ]
[ x1*x3*x1*x4*x1*x4*x1*x4, x1, x2, x1*x3*x1*x3, x1*x4*x1*x4 ]
[ x2*x4*x1*x4*x1*x4, x2*x3, x1, x1*x3*x1*x3, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x3*x1, x2, x1*x3*x1*x3, x1*x4*x1*x4 ]
[ x2*x4*x1*x4*x1*x4, x2*x3, x1*x2, x1*x3*x1*x3, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x3, x1, x2, x1*x3*x1*x3 ]
[ x4, x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x4, x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x4, x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x4, x2, x1, x1*x2*x1*x2, x3^2 ]
[ x4, x1*x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x4, x2*x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x4, x1*x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x3^3, x2, x1, x1*x2*x1*x2, x3^2 ]
[ x1*x4, x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x1*x2*x1*x4, x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x1*x4, x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x3^3*x4, x2, x1, x1*x2*x1*x2, x3^2 ]
[ x1*x4, x1*x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x1*x2*x1*x4, x2*x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x1*x4, x1*x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x4, x3^3, x2, x1, x1*x2*x1*x2 ]
[ x4^3, x3, x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3, x2*x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3, x2, x1*x3*x1*x3, x4^2 ]
[ x4^3, x4^2*x1, x2*x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x4^3, x1*x2*x3*x1*x4^2*x1, x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3*x4^2*x1, x2*x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x4^3, x1*x2*x3*x1*x4^2*x1, x2, x1*x3*x1*x3, x4^2 ]
[ x3, x4^2*x1, x2*x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4, x3, x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x1*x4, x3, x2*x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4, x3, x2, x1*x3*x1*x3, x4^2 ]
[ x3*x4^3, x4^2*x1, x2*x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4, x1*x2*x3*x1*x4^2*x1, x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x1*x4, x3*x4^2*x1, x2*x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4, x1*x2*x3*x1*x4^2*x1, x2, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3, x4^2*x1, x2*x4^2*x1, x1*x3*x1*x3 ]
[ x4^3, x4^2*x1, x2*x4^2*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x4^2*x1, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x4^2*x1, x2*x4*x3*x4*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x2*x4^2*x1, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x4*x3*x4*x1, x2*x4^2*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x2, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x4*x3*x4*x1, x2*x4*x3*x4*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^2*x1, x2*x4^2*x1, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x3*x4^3, x4^2*x1, x2*x4^2*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x2*x4, x4^2*x1, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x3*x4^3, x4^2*x1, x2*x4*x3*x4*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x4, x2*x4^2*x1, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x3*x4^3, x4*x3*x4*x1, x2*x4^2*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x2*x4, x2, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x3*x4^3, x4*x3*x4*x1, x2*x4*x3*x4*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x4^2*x1, x2*x4^2*x1, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4 ]
[ x4^3, x3, x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3, x2*x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3, x2, x1*x3*x1*x3, x4^2 ]
[ x4^3, x4^2*x1, x2*x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x4^3, x1*x2*x3*x1*x4^2*x1, x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3*x4^2*x1, x2*x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x4^3, x1*x2*x3*x1*x4^2*x1, x2, x1*x3*x1*x3, x4^2 ]
[ x3, x4^2*x1, x2*x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4, x3, x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x1*x4, x3, x2*x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4, x3, x2, x1*x3*x1*x3, x4^2 ]
[ x3*x4^3, x4^2*x1, x2*x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4, x1*x2*x3*x1*x4^2*x1, x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x1*x4, x3*x4^2*x1, x2*x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4, x1*x2*x3*x1*x4^2*x1, x2, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3, x4^2*x1, x2*x4^2*x1, x1*x3*x1*x3 ]
[ x4^3, x3, x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3, x2*x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3, x2, x1*x3*x1*x3, x4^2 ]
[ x4^3, x4^2*x1, x2*x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x4^3, x1*x2*x3*x1*x4^2*x1, x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3*x4^2*x1, x2*x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x4^3, x1*x2*x3*x1*x4^2*x1, x2, x1*x3*x1*x3, x4^2 ]
[ x3, x4^2*x1, x2*x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4, x3, x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x1*x4, x3, x2*x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4, x3, x2, x1*x3*x1*x3, x4^2 ]
[ x1*x3*x1*x4^3, x4^2*x1, x2*x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4, x1*x2*x3*x1*x4^2*x1, x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x1*x4, x3*x4^2*x1, x2*x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4, x1*x2*x3*x1*x4^2*x1, x2, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3, x4^2*x1, x2*x4^2*x1, x1*x3*x1*x3 ]
[ x4^3, x3, x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3, x2*x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3, x2, x1*x3*x1*x3, x4^2 ]
[ x4^3, x4^2*x1, x2*x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x4^3, x1*x2*x3*x1*x4^2*x1, x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3*x4^2*x1, x2*x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x4^3, x1*x2*x3*x1*x4^2*x1, x2, x1*x3*x1*x3, x4^2 ]
[ x3, x4^2*x1, x2*x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4, x3, x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x1*x4, x3, x2*x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4, x3, x2, x1*x3*x1*x3, x4^2 ]
[ x3*x4^3, x4^2*x1, x2*x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4, x1*x2*x3*x1*x4^2*x1, x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x1*x4, x3*x4^2*x1, x2*x4^2*x1, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4, x1*x2*x3*x1*x4^2*x1, x2, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3, x4^2*x1, x2*x4^2*x1, x1*x3*x1*x3 ]
[ x4^3, x4^2*x1, x2*x4^2*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x4^2*x1, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x4^2*x1, x2*x4*x3*x4*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x2*x4^2*x1, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x4*x3*x4*x1, x2*x4^2*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x2, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x4*x3*x4*x1, x2*x4*x3*x4*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^2*x1, x2*x4^2*x1, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x3*x4^3, x4^2*x1, x2*x4^2*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x2*x4, x4^2*x1, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x3*x4^3, x4^2*x1, x2*x4*x3*x4*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x4, x2*x4^2*x1, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x3*x4^3, x4*x3*x4*x1, x2*x4^2*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x2*x4, x2, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x3*x4^3, x4*x3*x4*x1, x2*x4*x3*x4*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x4^2*x1, x2*x4^2*x1, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4 ]
[ x1*x2*x4*x2, x4^2*x1, x2*x4^2*x1, x1*x4*x1*x4, x4^2 ]
[ x1*x2*x4*x2, x4^2*x1, x3, x1*x4*x1*x4, x4^2 ]
[ x1*x2*x4*x2, x4^2*x1, x2*x3*x4^2*x1, x1*x4*x1*x4, x4^2 ]
[ x1*x2*x4*x2, x2*x4^2*x1, x3, x1*x4*x1*x4, x4^2 ]
[ x1*x2*x4*x2, x3*x4^2*x1, x2*x4^2*x1, x1*x4*x1*x4, x4^2 ]
[ x1*x2*x4*x2, x2, x3, x1*x4*x1*x4, x4^2 ]
[ x1*x2*x4*x2, x3*x4^2*x1, x2*x3*x4^2*x1, x1*x4*x1*x4, x4^2 ]
[ x4^2*x1, x2*x4^2*x1, x3, x1*x4*x1*x4, x4^2 ]
[ x1*x2*x3*x4*x2, x4^2*x1, x2*x4^2*x1, x1*x4*x1*x4, x4^2 ]
[ x4*x2*x4^2, x4^2*x1, x3, x1*x4*x1*x4, x4^2 ]
[ x1*x2*x3*x4*x2, x4^2*x1, x2*x3*x4^2*x1, x1*x4*x1*x4, x4^2 ]
[ x4^3, x2*x4^2*x1, x3, x1*x4*x1*x4, x4^2 ]
[ x1*x2*x3*x4*x2, x3*x4^2*x1, x2*x4^2*x1, x1*x4*x1*x4, x4^2 ]
[ x4*x2*x4^2, x2, x3, x1*x4*x1*x4, x4^2 ]
[ x1*x2*x3*x4*x2, x3*x4^2*x1, x2*x3*x4^2*x1, x1*x4*x1*x4, x4^2 ]
[ x1*x2*x4*x2, x4^2*x1, x2*x4^2*x1, x3, x1*x4*x1*x4 ]
[ x4^3, x4^2*x1, x2*x4^2*x1, x1*x4*x1*x4, x4^2 ]
[ x4^3, x4^2*x1, x3, x1*x4*x1*x4, x4^2 ]
[ x4^3, x4^2*x1, x2*x3*x4^2*x1, x1*x4*x1*x4, x4^2 ]
[ x4^3, x2*x4^2*x1, x3, x1*x4*x1*x4, x4^2 ]
[ x4^3, x3*x4^2*x1, x2*x4^2*x1, x1*x4*x1*x4, x4^2 ]
[ x4^3, x2, x3, x1*x4*x1*x4, x4^2 ]
[ x4^3, x3*x4^2*x1, x2*x3*x4^2*x1, x1*x4*x1*x4, x4^2 ]
[ x4^2*x1, x2*x4^2*x1, x3, x1*x4*x1*x4, x4^2 ]
[ x3*x4^3, x4^2*x1, x2*x4^2*x1, x1*x4*x1*x4, x4^2 ]
[ x1*x2*x4, x4^2*x1, x3, x1*x4*x1*x4, x4^2 ]
[ x3*x4^3, x4^2*x1, x2*x3*x4^2*x1, x1*x4*x1*x4, x4^2 ]
[ x1*x2*x4*x2, x2*x4^2*x1, x3, x1*x4*x1*x4, x4^2 ]
[ x3*x4^3, x3*x4^2*x1, x2*x4^2*x1, x1*x4*x1*x4, x4^2 ]
[ x1*x2*x4, x2, x3, x1*x4*x1*x4, x4^2 ]
[ x3*x4^3, x3*x4^2*x1, x2*x3*x4^2*x1, x1*x4*x1*x4, x4^2 ]
[ x4^3, x4^2*x1, x2*x4^2*x1, x3, x1*x4*x1*x4 ]
[ x2*x4^3*x2, x1, x1*x2, x4^6, x2*x4^4*x2 ]
[ x2*x4^3*x2, x1, x1*x3, x4^6, x2*x4^4*x2 ]
[ x2*x4^3*x2, x1, x2*x3, x4^6, x2*x4^4*x2 ]
[ x2*x4^3*x2, x1*x2, x1*x3, x4^6, x2*x4^4*x2 ]
[ x2*x4^3*x2, x3, x1*x2, x4^6, x2*x4^4*x2 ]
[ x2*x4^3*x2, x2, x1*x3, x4^6, x2*x4^4*x2 ]
[ x2*x4^3*x2, x3, x2*x3, x4^6, x2*x4^4*x2 ]
[ x1, x1*x2, x1*x3, x4^6, x2*x4^4*x2 ]
[ x1*x2*x3*x4^3*x2, x1, x1*x2, x4^6, x2*x4^4*x2 ]
[ x1*x2*x4^3, x1, x1*x3, x4^6, x2*x4^4*x2 ]
[ x1*x2*x3*x4^3*x2, x1, x2*x3, x4^6, x2*x4^4*x2 ]
[ x1*x2*x4^3*x2, x1*x2, x1*x3, x4^6, x2*x4^4*x2 ]
[ x1*x2*x3*x4^3*x2, x3, x1*x2, x4^6, x2*x4^4*x2 ]
[ x1*x2*x4^3, x2, x1*x3, x4^6, x2*x4^4*x2 ]
[ x1*x2*x3*x4^3*x2, x3, x2*x3, x4^6, x2*x4^4*x2 ]
[ x2*x4^3*x2, x1, x1*x2, x1*x3, x4^6 ]
[ x4^5*x1, x1*x4^4, x1*x2*x4^4, x4^6, x1*x4^4*x1 ]
[ x4^5*x1, x1*x4^4, x3, x4^6, x1*x4^4*x1 ]
[ x4^5*x1, x1*x4^4, x1*x2*x3*x4^4, x4^6, x1*x4^4*x1 ]
[ x4^5*x1, x1*x2*x4^4, x3, x4^6, x1*x4^4*x1 ]
[ x4^5*x1, x1*x3*x4^4, x1*x2*x4^4, x4^6, x1*x4^4*x1 ]
[ x4^5*x1, x2, x3, x4^6, x1*x4^4*x1 ]
[ x4^5*x1, x1*x3*x4^4, x1*x2*x3*x4^4, x4^6, x1*x4^4*x1 ]
[ x1*x4^4, x1*x2*x4^4, x3, x4^6, x1*x4^4*x1 ]
[ x3*x4^5*x1, x1*x4^4, x1*x2*x4^4, x4^6, x1*x4^4*x1 ]
[ x1*x2*x4^3*x1, x1*x4^4, x3, x4^6, x1*x4^4*x1 ]
[ x3*x4^5*x1, x1*x4^4, x1*x2*x3*x4^4, x4^6, x1*x4^4*x1 ]
[ x1*x4^3*x1, x1*x2*x4^4, x3, x4^6, x1*x4^4*x1 ]
[ x3*x4^5*x1, x1*x3*x4^4, x1*x2*x4^4, x4^6, x1*x4^4*x1 ]
[ x1*x2*x4^3*x1, x2, x3, x4^6, x1*x4^4*x1 ]
[ x3*x4^5*x1, x1*x3*x4^4, x1*x2*x3*x4^4, x4^6, x1*x4^4*x1 ]
[ x4^5*x1, x1*x4^4, x1*x2*x4^4, x3, x4^6 ]
[ x4^3, x1, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x3, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x3, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1, x2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4^3, x1, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4*x2*x4^2, x1, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4^3, x1, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4^3, x2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4^3, x1*x3, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4*x2*x4^2, x1*x2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4^3, x1*x3, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1, x2, x3, x1*x2*x4*x1*x2*x4 ]
[ x4^3, x1*x4^2, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x4^2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x4^2, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x3*x4^2, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x2*x4^2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x3*x4^2, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4^2, x2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4^3, x1*x4^2, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4*x2*x4^2, x1*x4^2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4^3, x1*x4^2, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4*x1, x2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4^3, x1*x3*x4^2, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4*x2*x4^2, x1*x2*x4^2, x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4^3, x1*x3*x4^2, x2*x3, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x4^2, x2, x3, x1*x2*x4*x1*x2*x4 ]
[ x4^3, x3, x2*x1, x1*x2*x1*x2, x4^2 ]
[ x4^3, x3, x1, x1*x2*x1*x2, x4^2 ]
[ x4^3, x3, x2, x1*x2*x1*x2, x4^2 ]
[ x4^3, x2*x1, x1, x1*x2*x1*x2, x4^2 ]
[ x4^3, x1*x3, x2*x1, x1*x2*x1*x2, x4^2 ]
[ x4^3, x2*x1*x3, x1, x1*x2*x1*x2, x4^2 ]
[ x4^3, x1*x3, x2, x1*x2*x1*x2, x4^2 ]
[ x3, x2*x1, x1, x1*x2*x1*x2, x4^2 ]
[ x1*x4^3, x3, x2*x1, x1*x2*x1*x2, x4^2 ]
[ x2*x1*x4^3, x3, x1, x1*x2*x1*x2, x4^2 ]
[ x1*x4^3, x3, x2, x1*x2*x1*x2, x4^2 ]
[ x3*x4^3, x2*x1, x1, x1*x2*x1*x2, x4^2 ]
[ x1*x4^3, x1*x3, x2*x1, x1*x2*x1*x2, x4^2 ]
[ x2*x1*x4^3, x2*x1*x3, x1, x1*x2*x1*x2, x4^2 ]
[ x1*x4^3, x1*x3, x2, x1*x2*x1*x2, x4^2 ]
[ x4^3, x3, x2*x1, x1, x1*x2*x1*x2 ]
[ x4^3, x1, x1*x2, x1*x4*x1*x4, x4^2 ]
[ x4^3, x1, x3, x1*x4*x1*x4, x4^2 ]
[ x4^3, x1, x1*x2*x3, x1*x4*x1*x4, x4^2 ]
[ x4^3, x1*x2, x3, x1*x4*x1*x4, x4^2 ]
[ x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x4^2 ]
[ x4^3, x2, x3, x1*x4*x1*x4, x4^2 ]
[ x4^3, x1*x3, x1*x2*x3, x1*x4*x1*x4, x4^2 ]
[ x1, x1*x2, x3, x1*x4*x1*x4, x4^2 ]
[ x3*x4^3, x1, x1*x2, x1*x4*x1*x4, x4^2 ]
[ x2*x4^3*x1, x1, x3, x1*x4*x1*x4, x4^2 ]
[ x3*x4^3, x1, x1*x2*x3, x1*x4*x1*x4, x4^2 ]
[ x4^3*x1, x1*x2, x3, x1*x4*x1*x4, x4^2 ]
[ x3*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x4^2 ]
[ x2*x4^3*x1, x2, x3, x1*x4*x1*x4, x4^2 ]
[ x3*x4^3, x1*x3, x1*x2*x3, x1*x4*x1*x4, x4^2 ]
[ x4^3, x1, x1*x2, x3, x1*x4*x1*x4 ]
[ x4^3, x4^2*x1, x2*x4^2*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x4^2*x1, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x4^2*x1, x2*x4*x3*x4*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x2*x4^2*x1, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x4*x3*x4*x1, x2*x4^2*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x2, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x4*x3*x4*x1, x2*x4*x3*x4*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^2*x1, x2*x4^2*x1, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x3*x4^3, x4^2*x1, x2*x4^2*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x2*x4, x4^2*x1, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x3*x4^3, x4^2*x1, x2*x4*x3*x4*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x4, x2*x4^2*x1, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x3*x4^3, x4*x3*x4*x1, x2*x4^2*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x2*x4, x2, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x3*x4^3, x4*x3*x4*x1, x2*x4*x3*x4*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x4^2*x1, x2*x4^2*x1, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4 ]
[ x4*x1*x4*x1*x4, x3, x1, x2*x3*x2*x3, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x3, x2, x2*x3*x2*x3, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x3, x1*x2, x2*x3*x2*x3, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x1, x2, x2*x3*x2*x3, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x3*x2, x1, x2*x3*x2*x3, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x1*x3, x2, x2*x3*x2*x3, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x3*x2, x1*x2, x2*x3*x2*x3, x1*x4*x1*x4 ]
[ x3, x1, x2, x2*x3*x2*x3, x1*x4*x1*x4 ]
[ x2*x4*x1*x4*x1*x4, x3, x1, x2*x3*x2*x3, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x3, x2, x2*x3*x2*x3, x1*x4*x1*x4 ]
[ x2*x4*x1*x4*x1*x4, x3, x1*x2, x2*x3*x2*x3, x1*x4*x1*x4 ]
[ x3*x4*x1*x4*x1*x4, x1, x2, x2*x3*x2*x3, x1*x4*x1*x4 ]
[ x2*x4*x1*x4*x1*x4, x3*x2, x1, x2*x3*x2*x3, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x1*x3, x2, x2*x3*x2*x3, x1*x4*x1*x4 ]
[ x2*x4*x1*x4*x1*x4, x3*x2, x1*x2, x2*x3*x2*x3, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x3, x1, x2, x2*x3*x2*x3 ]
[ x1*x4^3, x3, x2*x1, x1*x2*x1*x2, x4^2 ]
[ x1*x4^3, x3, x1, x1*x2*x1*x2, x4^2 ]
[ x1*x4^3, x3, x2, x1*x2*x1*x2, x4^2 ]
[ x1*x4^3, x2*x1, x1, x1*x2*x1*x2, x4^2 ]
[ x1*x4^3, x1*x3, x2*x1, x1*x2*x1*x2, x4^2 ]
[ x1*x4^3, x2*x1*x3, x1, x1*x2*x1*x2, x4^2 ]
[ x1*x4^3, x1*x3, x2, x1*x2*x1*x2, x4^2 ]
[ x3, x2*x1, x1, x1*x2*x1*x2, x4^2 ]
[ x4^3, x3, x2*x1, x1*x2*x1*x2, x4^2 ]
[ x2*x4^3, x3, x1, x1*x2*x1*x2, x4^2 ]
[ x4^3, x3, x2, x1*x2*x1*x2, x4^2 ]
[ x1*x3*x4^3, x2*x1, x1, x1*x2*x1*x2, x4^2 ]
[ x4^3, x1*x3, x2*x1, x1*x2*x1*x2, x4^2 ]
[ x2*x4^3, x2*x1*x3, x1, x1*x2*x1*x2, x4^2 ]
[ x4^3, x1*x3, x2, x1*x2*x1*x2, x4^2 ]
[ x1*x4^3, x3, x2*x1, x1, x1*x2*x1*x2 ]
[ x4^3, x4^2*x1, x1*x4*x1*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x4^2*x1, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x4^2*x1, x3*x4*x2*x4*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x4*x1*x2*x4, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x3, x1*x4*x1*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x4*x2*x4*x1, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x3, x3*x4*x2*x4*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^2*x1, x1*x4*x1*x2*x4, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4, x4^2*x1, x1*x4*x1*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x2*x4^3, x4^2*x1, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4, x4^2*x1, x3*x4*x2*x4*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4, x1*x4*x1*x2*x4, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4, x3, x1*x4*x1*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x2*x4^3, x4*x2*x4*x1, x3*x4^2*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4, x3, x3*x4*x2*x4*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x4^2*x1, x1*x4*x1*x2*x4, x3*x4^2*x1, x1*x2*x4*x1*x2*x4 ]
[ x4*x1*x4*x1*x4, x3, x1, x2*x3*x2*x3, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x3, x2, x2*x3*x2*x3, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x3, x1*x2, x2*x3*x2*x3, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x1, x2, x2*x3*x2*x3, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x3*x2, x1, x2*x3*x2*x3, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x1*x3, x2, x2*x3*x2*x3, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x3*x2, x1*x2, x2*x3*x2*x3, x1*x4*x1*x4 ]
[ x3, x1, x2, x2*x3*x2*x3, x1*x4*x1*x4 ]
[ x2*x4*x1*x4*x1*x4, x3, x1, x2*x3*x2*x3, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x3, x2, x2*x3*x2*x3, x1*x4*x1*x4 ]
[ x2*x4*x1*x4*x1*x4, x3, x1*x2, x2*x3*x2*x3, x1*x4*x1*x4 ]
[ x3*x4*x1*x4*x1*x4, x1, x2, x2*x3*x2*x3, x1*x4*x1*x4 ]
[ x2*x4*x1*x4*x1*x4, x3*x2, x1, x2*x3*x2*x3, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x1*x3, x2, x2*x3*x2*x3, x1*x4*x1*x4 ]
[ x2*x4*x1*x4*x1*x4, x3*x2, x1*x2, x2*x3*x2*x3, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x3, x1, x2, x2*x3*x2*x3 ]
[ x4, x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x4, x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x4, x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x4, x2, x1, x1*x2*x1*x2, x3^2 ]
[ x4, x1*x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x4, x2*x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x4, x1*x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x3^3, x2, x1, x1*x2*x1*x2, x3^2 ]
[ x1*x4, x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x1*x2*x1*x4, x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x1*x4, x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x3^3*x4, x2, x1, x1*x2*x1*x2, x3^2 ]
[ x1*x4, x1*x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x1*x2*x1*x4, x2*x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x1*x4, x1*x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x4, x3^3, x2, x1, x1*x2*x1*x2 ]
[ x4^3, x4^2*x1, x2*x4^2*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x4^2*x1, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x4^2*x1, x2*x4*x3*x4*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x2*x4^2*x1, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x4*x3*x4*x1, x2*x4^2*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x2, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x4*x3*x4*x1, x2*x4*x3*x4*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^2*x1, x2*x4^2*x1, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x3*x4^3, x4^2*x1, x2*x4^2*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x2*x4, x4^2*x1, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x3*x4^3, x4^2*x1, x2*x4*x3*x4*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x4, x2*x4^2*x1, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x3*x4^3, x4*x3*x4*x1, x2*x4^2*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x2*x4, x2, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x3*x4^3, x4*x3*x4*x1, x2*x4*x3*x4*x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x4^2*x1, x2*x4^2*x1, x1*x4*x1*x3*x4, x1*x3*x4*x1*x3*x4 ]
[ x4*x2*x4*x2*x4, x3, x1, x2*x3*x2*x3, x2*x4*x2*x4 ]
[ x4*x2*x4*x2*x4, x3, x1*x2, x2*x3*x2*x3, x2*x4*x2*x4 ]
[ x4*x2*x4*x2*x4, x3, x2, x2*x3*x2*x3, x2*x4*x2*x4 ]
[ x4*x2*x4*x2*x4, x1, x1*x2, x2*x3*x2*x3, x2*x4*x2*x4 ]
[ x4*x2*x4*x2*x4, x1*x3*x2, x1, x2*x3*x2*x3, x2*x4*x2*x4 ]
[ x4*x2*x4*x2*x4, x1*x3, x1*x2, x2*x3*x2*x3, x2*x4*x2*x4 ]
[ x4*x2*x4*x2*x4, x1*x3*x2, x2, x2*x3*x2*x3, x2*x4*x2*x4 ]
[ x3, x1, x1*x2, x2*x3*x2*x3, x2*x4*x2*x4 ]
[ x1*x2*x4*x2*x4*x2*x4, x3, x1, x2*x3*x2*x3, x2*x4*x2*x4 ]
[ x1*x4*x2*x4*x2*x4, x3, x1*x2, x2*x3*x2*x3, x2*x4*x2*x4 ]
[ x1*x2*x4*x2*x4*x2*x4, x3, x2, x2*x3*x2*x3, x2*x4*x2*x4 ]
[ x2*x3*x2*x4*x2*x4*x2*x4, x1, x1*x2, x2*x3*x2*x3, x2*x4*x2*x4 ]
[ x1*x2*x4*x2*x4*x2*x4, x1*x3*x2, x1, x2*x3*x2*x3, x2*x4*x2*x4 ]
[ x1*x4*x2*x4*x2*x4, x1*x3, x1*x2, x2*x3*x2*x3, x2*x4*x2*x4 ]
[ x1*x2*x4*x2*x4*x2*x4, x1*x3*x2, x2, x2*x3*x2*x3, x2*x4*x2*x4 ]
[ x4*x2*x4*x2*x4, x3, x1, x1*x2, x2*x3*x2*x3 ]
[ x2*x4^3, x1, x2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^3, x1, x1*x2*x4*x2*x3*x4, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^3, x1, x1*x4*x2*x3*x4, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^3, x2, x1*x2*x4*x2*x3*x4, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^3, x2*x4*x2*x3*x4, x2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^3, x1*x2, x1*x2*x4*x2*x3*x4, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^3, x2*x4*x2*x3*x4, x1*x4*x2*x3*x4, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1, x2, x1*x2*x4*x2*x3*x4, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1*x2*x3*x4^3, x1, x2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4^3, x1, x1*x2*x4*x2*x3*x4, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1*x2*x3*x4^3, x1, x1*x4*x2*x3*x4, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1*x2*x4^3, x2, x1*x2*x4*x2*x3*x4, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1*x2*x3*x4^3, x2*x4*x2*x3*x4, x2, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4^3, x1*x2, x1*x2*x4*x2*x3*x4, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1*x2*x3*x4^3, x2*x4*x2*x3*x4, x1*x4*x2*x3*x4, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^3, x1, x2, x1*x2*x4*x2*x3*x4, x2*x3*x4*x2*x3*x4 ]
[ x4, x3^3, x1, x2^2, x3^2 ]
[ x4, x3^3, x2, x2^2, x3^2 ]
[ x4, x3^3, x1*x2, x2^2, x3^2 ]
[ x4, x1, x2, x2^2, x3^2 ]
[ x4, x2^3*x3^3, x1, x2^2, x3^2 ]
[ x4, x1*x3^3, x2, x2^2, x3^2 ]
[ x4, x2^3*x3^3, x1*x2, x2^2, x3^2 ]
[ x3^3, x1, x2, x2^2, x3^2 ]
[ x2*x4, x3^3, x1, x2^2, x3^2 ]
[ x1*x4, x3^3, x2, x2^2, x3^2 ]
[ x2*x4, x3^3, x1*x2, x2^2, x3^2 ]
[ x3^3*x4, x1, x2, x2^2, x3^2 ]
[ x2*x4, x2^3*x3^3, x1, x2^2, x3^2 ]
[ x1*x4, x1*x3^3, x2, x2^2, x3^2 ]
[ x2*x4, x2^3*x3^3, x1*x2, x2^2, x3^2 ]
[ x4, x3^3, x1, x2, x2^2 ]
[ x4^3, x4^2*x1, x2, x2^2, x4^2 ]
[ x4^3, x4^2*x1, x3*x4^2*x1, x2^2, x4^2 ]
[ x4^3, x4^2*x1, x2*x3*x4^2*x1, x2^2, x4^2 ]
[ x4^3, x2, x3*x4^2*x1, x2^2, x4^2 ]
[ x4^3, x3, x2, x2^2, x4^2 ]
[ x4^3, x2*x4^2*x1, x3*x4^2*x1, x2^2, x4^2 ]
[ x4^3, x3, x2*x3*x4^2*x1, x2^2, x4^2 ]
[ x4^2*x1, x2, x3*x4^2*x1, x2^2, x4^2 ]
[ x1*x3*x4, x4^2*x1, x2, x2^2, x4^2 ]
[ x2^3*x4^3, x4^2*x1, x3*x4^2*x1, x2^2, x4^2 ]
[ x1*x3*x4, x4^2*x1, x2*x3*x4^2*x1, x2^2, x4^2 ]
[ x1*x4, x2, x3*x4^2*x1, x2^2, x4^2 ]
[ x1*x3*x4, x3, x2, x2^2, x4^2 ]
[ x2^3*x4^3, x2*x4^2*x1, x3*x4^2*x1, x2^2, x4^2 ]
[ x1*x3*x4, x3, x2*x3*x4^2*x1, x2^2, x4^2 ]
[ x4^3, x4^2*x1, x2, x3*x4^2*x1, x2^2 ]
[ x4, x3^3, x2, x1^2, x3^2 ]
[ x4, x3^3, x1, x1^2, x3^2 ]
[ x4, x3^3, x1^3*x2, x1^2, x3^2 ]
[ x4, x2, x1, x1^2, x3^2 ]
[ x4, x1*x3^3, x2, x1^2, x3^2 ]
[ x4, x2*x3^3, x1, x1^2, x3^2 ]
[ x4, x1*x3^3, x1^3*x2, x1^2, x3^2 ]
[ x3^3, x2, x1, x1^2, x3^2 ]
[ x1^3*x4, x3^3, x2, x1^2, x3^2 ]
[ x2*x4, x3^3, x1, x1^2, x3^2 ]
[ x1^3*x4, x3^3, x1^3*x2, x1^2, x3^2 ]
[ x3^3*x4, x2, x1, x1^2, x3^2 ]
[ x1^3*x4, x1*x3^3, x2, x1^2, x3^2 ]
[ x2*x4, x2*x3^3, x1, x1^2, x3^2 ]
[ x1^3*x4, x1*x3^3, x1^3*x2, x1^2, x3^2 ]
[ x4, x3^3, x2, x1, x1^2 ]
[ x4*x3*x4*x3*x4, x1*x3, x1, x2^2, x3*x4*x3*x4 ]
[ x4*x3*x4*x3*x4, x1*x3, x1*x2, x2^2, x3*x4*x3*x4 ]
[ x4*x3*x4*x3*x4, x1*x3, x2, x2^2, x3*x4*x3*x4 ]
[ x4*x3*x4*x3*x4, x1, x1*x2, x2^2, x3*x4*x3*x4 ]
[ x4*x3*x4*x3*x4, x2^3*x3, x1, x2^2, x3*x4*x3*x4 ]
[ x4*x3*x4*x3*x4, x3, x1*x2, x2^2, x3*x4*x3*x4 ]
[ x4*x3*x4*x3*x4, x2^3*x3, x2, x2^2, x3*x4*x3*x4 ]
[ x1*x3, x1, x1*x2, x2^2, x3*x4*x3*x4 ]
[ x1*x2^3*x4*x3*x4*x3*x4, x1*x3, x1, x2^2, x3*x4*x3*x4 ]
[ x1*x4*x3*x4*x3*x4, x1*x3, x1*x2, x2^2, x3*x4*x3*x4 ]
[ x1*x2^3*x4*x3*x4*x3*x4, x1*x3, x2, x2^2, x3*x4*x3*x4 ]
[ x1*x3*x4*x3*x4*x3*x4, x1, x1*x2, x2^2, x3*x4*x3*x4 ]
[ x1*x2^3*x4*x3*x4*x3*x4, x2^3*x3, x1, x2^2, x3*x4*x3*x4 ]
[ x1*x4*x3*x4*x3*x4, x3, x1*x2, x2^2, x3*x4*x3*x4 ]
[ x1*x2^3*x4*x3*x4*x3*x4, x2^3*x3, x2, x2^2, x3*x4*x3*x4 ]
[ x4*x3*x4*x3*x4, x1*x3, x1, x1*x2, x2^2 ]
[ x4^3, x1*x4^2, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x4^2, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x4^2, x1*x2*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x2, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x3, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x2*x4^2, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x3, x1*x2*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4^2, x2, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4*x1, x1*x4^2, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4*x2*x4^2, x1*x4^2, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4*x1, x1*x4^2, x1*x2*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4*x1, x2, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4*x1, x3, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4*x2*x4^2, x1*x2*x4^2, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4*x1, x3, x1*x2*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x4^2, x2, x1*x3*x4^2, x1*x2*x4*x1*x2*x4 ]
[ x4^3, x1*x4^2, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x4^2, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x4^2, x1*x2*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x2, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x3, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x2*x4^2, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x3, x1*x2*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4^2, x2, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4*x1, x1*x4^2, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4*x2*x4^2, x1*x4^2, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4*x1, x1*x4^2, x1*x2*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4*x1, x2, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4*x1, x3, x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4*x2*x4^2, x1*x2*x4^2, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4*x1, x3, x1*x2*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x4^2, x2, x1*x3*x4^2, x1*x2*x4*x1*x2*x4 ]
[ x3*x4*x3*x4^2, x1*x3*x4*x3*x4, x2, x1*x3*x4*x1*x3*x4, x3*x4*x3*x4 ]
[ x3*x4*x3*x4^2, x1*x3*x4*x3*x4, x1*x3*x4^2, x1*x3*x4*x1*x3*x4, x3*x4*x3*x4 ]
[ x3*x4*x3*x4^2, x1*x3*x4*x3*x4, x1*x2*x3*x4^2, x1*x3*x4*x1*x3*x4,
x3*x4*x3*x4 ]
[ x3*x4*x3*x4^2, x2, x1*x3*x4^2, x1*x3*x4*x1*x3*x4, x3*x4*x3*x4 ]
[ x3*x4*x3*x4^2, x1*x4*x1*x3*x4, x2, x1*x3*x4*x1*x3*x4, x3*x4*x3*x4 ]
[ x3*x4*x3*x4^2, x1*x2*x3*x4*x3*x4, x1*x3*x4^2, x1*x3*x4*x1*x3*x4,
x3*x4*x3*x4 ]
[ x3*x4*x3*x4^2, x1*x4*x1*x3*x4, x1*x2*x3*x4^2, x1*x3*x4*x1*x3*x4,
x3*x4*x3*x4 ]
[ x1*x3*x4*x3*x4, x2, x1*x3*x4^2, x1*x3*x4*x1*x3*x4, x3*x4*x3*x4 ]
[ x3*x4*x1, x1*x3*x4*x3*x4, x2, x1*x3*x4*x1*x3*x4, x3*x4*x3*x4 ]
[ x2*x3*x4*x3*x4^2, x1*x3*x4*x3*x4, x1*x3*x4^2, x1*x3*x4*x1*x3*x4,
x3*x4*x3*x4 ]
[ x3*x4*x1, x1*x3*x4*x3*x4, x1*x2*x3*x4^2, x1*x3*x4*x1*x3*x4, x3*x4*x3*x4 ]
[ x4*x1, x2, x1*x3*x4^2, x1*x3*x4*x1*x3*x4, x3*x4*x3*x4 ]
[ x3*x4*x1, x1*x4*x1*x3*x4, x2, x1*x3*x4*x1*x3*x4, x3*x4*x3*x4 ]
[ x2*x3*x4*x3*x4^2, x1*x2*x3*x4*x3*x4, x1*x3*x4^2, x1*x3*x4*x1*x3*x4,
x3*x4*x3*x4 ]
[ x3*x4*x1, x1*x4*x1*x3*x4, x1*x2*x3*x4^2, x1*x3*x4*x1*x3*x4, x3*x4*x3*x4 ]
[ x3*x4*x3*x4^2, x1*x3*x4*x3*x4, x2, x1*x3*x4^2, x1*x3*x4*x1*x3*x4 ]
[ x4^3, x1, x2*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1, x1*x2*x3*x4*x1*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1, x1*x2*x3*x4*x1*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x2*x4^2, x1*x2*x3*x4*x1*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x2*x3*x4*x1*x4, x2*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x2*x4^2, x1*x2*x3*x4*x1*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x2*x3*x4*x1*x4, x1*x2*x3*x4*x1*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1, x2*x4^2, x1*x2*x3*x4*x1*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4*x1*x2, x1, x2*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4*x2, x1, x1*x2*x3*x4*x1*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4*x1*x2, x1, x1*x2*x3*x4*x1*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4*x1*x4^2, x2*x4^2, x1*x2*x3*x4*x1*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4*x1*x2, x2*x3*x4*x1*x4, x2*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4*x2, x1*x2*x4^2, x1*x2*x3*x4*x1*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4*x1*x2, x2*x3*x4*x1*x4, x1*x2*x3*x4*x1*x2*x4, x1*x2*x4*x1*x2*x4,
x4^2 ]
[ x4^3, x1, x2*x4^2, x1*x2*x3*x4*x1*x4, x1*x2*x4*x1*x2*x4 ]
[ x4^3, x1, x2, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x1, x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x1, x2*x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x2, x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x1*x3, x2, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x1*x2, x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x1*x3, x2*x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1, x2, x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4*x3*x4^2, x1, x2, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x2*x4^3, x1, x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4*x3*x4^2, x1, x2*x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x4^3, x2, x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4*x3*x4^2, x1*x3, x2, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x2*x4^3, x1*x2, x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4*x3*x4^2, x1*x3, x2*x3, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x1, x2, x3, x1*x3*x4*x1*x3*x4 ]
[ x1*x4^3, x3, x1, x1*x3*x1*x3, x4^2 ]
[ x1*x4^3, x3, x2, x1*x3*x1*x3, x4^2 ]
[ x1*x4^3, x3, x1*x2, x1*x3*x1*x3, x4^2 ]
[ x1*x4^3, x1, x2, x1*x3*x1*x3, x4^2 ]
[ x1*x4^3, x2*x3, x1, x1*x3*x1*x3, x4^2 ]
[ x1*x4^3, x3*x1, x2, x1*x3*x1*x3, x4^2 ]
[ x1*x4^3, x2*x3, x1*x2, x1*x3*x1*x3, x4^2 ]
[ x3, x1, x2, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4^3, x3, x1, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3, x2, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4^3, x3, x1*x2, x1*x3*x1*x3, x4^2 ]
[ x3*x1*x4^3, x1, x2, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4^3, x2*x3, x1, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3*x1, x2, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4^3, x2*x3, x1*x2, x1*x3*x1*x3, x4^2 ]
[ x1*x4^3, x3, x1, x2, x1*x3*x1*x3 ]
[ x3*x4*x2*x4*x2*x4*x2, x1, x1*x2, x2*x4*x2*x4*x2*x4*x2*x4*x2*x4*x2*x4,
x4*x2*x4*x2*x4*x2*x4*x2 ]
[ x3*x4*x2*x4*x2*x4*x2, x1, x3, x2*x4*x2*x4*x2*x4*x2*x4*x2*x4*x2*x4,
x4*x2*x4*x2*x4*x2*x4*x2 ]
[ x3*x4*x2*x4*x2*x4*x2, x1, x1*x2*x3, x2*x4*x2*x4*x2*x4*x2*x4*x2*x4*x2*x4,
x4*x2*x4*x2*x4*x2*x4*x2 ]
[ x3*x4*x2*x4*x2*x4*x2, x1*x2, x3, x2*x4*x2*x4*x2*x4*x2*x4*x2*x4*x2*x4,
x4*x2*x4*x2*x4*x2*x4*x2 ]
[ x3*x4*x2*x4*x2*x4*x2, x1*x3, x1*x2, x2*x4*x2*x4*x2*x4*x2*x4*x2*x4*x2*x4,
x4*x2*x4*x2*x4*x2*x4*x2 ]
[ x3*x4*x2*x4*x2*x4*x2, x2, x3, x2*x4*x2*x4*x2*x4*x2*x4*x2*x4*x2*x4,
x4*x2*x4*x2*x4*x2*x4*x2 ]
[ x3*x4*x2*x4*x2*x4*x2, x1*x3, x1*x2*x3, x2*x4*x2*x4*x2*x4*x2*x4*x2*x4*x2*x4,
x4*x2*x4*x2*x4*x2*x4*x2 ]
[ x1, x1*x2, x3, x2*x4*x2*x4*x2*x4*x2*x4*x2*x4*x2*x4, x4*x2*x4*x2*x4*x2*x4*x2
]
[ x2*x4*x2*x4*x2*x4, x1, x1*x2, x2*x4*x2*x4*x2*x4*x2*x4*x2*x4*x2*x4,
x4*x2*x4*x2*x4*x2*x4*x2 ]
[ x1*x3*x4*x2*x4*x2*x4, x1, x3, x2*x4*x2*x4*x2*x4*x2*x4*x2*x4*x2*x4,
x4*x2*x4*x2*x4*x2*x4*x2 ]
[ x2*x4*x2*x4*x2*x4, x1, x1*x2*x3, x2*x4*x2*x4*x2*x4*x2*x4*x2*x4*x2*x4,
x4*x2*x4*x2*x4*x2*x4*x2 ]
[ x1*x3*x4*x2*x4*x2*x4*x2, x1*x2, x3, x2*x4*x2*x4*x2*x4*x2*x4*x2*x4*x2*x4,
x4*x2*x4*x2*x4*x2*x4*x2 ]
[ x2*x4*x2*x4*x2*x4, x1*x3, x1*x2, x2*x4*x2*x4*x2*x4*x2*x4*x2*x4*x2*x4,
x4*x2*x4*x2*x4*x2*x4*x2 ]
[ x1*x3*x4*x2*x4*x2*x4, x2, x3, x2*x4*x2*x4*x2*x4*x2*x4*x2*x4*x2*x4,
x4*x2*x4*x2*x4*x2*x4*x2 ]
[ x2*x4*x2*x4*x2*x4, x1*x3, x1*x2*x3, x2*x4*x2*x4*x2*x4*x2*x4*x2*x4*x2*x4,
x4*x2*x4*x2*x4*x2*x4*x2 ]
[ x3*x4*x2*x4*x2*x4*x2, x1, x1*x2, x3, x2*x4*x2*x4*x2*x4*x2*x4*x2*x4*x2*x4 ]
[ x4^3, x2, x1, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4^3, x2, x3*x4*x2*x4, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4^3, x2, x1*x3*x4*x2*x4, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4^3, x1, x3*x4*x2*x4, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4^3, x2*x3*x4*x2*x4, x1, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4^3, x1*x2, x3*x4*x2*x4, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4^3, x2*x3*x4*x2*x4, x1*x3*x4*x2*x4, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2, x1, x3*x4*x2*x4, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4*x3, x2, x1, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1*x4^3, x2, x3*x4*x2*x4, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4*x3, x2, x1*x3*x4*x2*x4, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4*x2*x4^2, x1, x3*x4*x2*x4, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4*x3, x2*x3*x4*x2*x4, x1, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1*x4^3, x1*x2, x3*x4*x2*x4, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4*x3, x2*x3*x4*x2*x4, x1*x3*x4*x2*x4, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4^3, x2, x1, x3*x4*x2*x4, x2*x3*x4*x2*x3*x4 ]
[ x4^3, x1*x4^2, x1*x4*x1*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x4^2, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x4^2, x1*x3*x4*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x4*x1*x2*x4, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x3, x1*x4*x1*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x4*x2*x4, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x3, x1*x3*x4*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4^2, x1*x4*x1*x2*x4, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4*x1, x1*x4^2, x1*x4*x1*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x2*x4^3, x1*x4^2, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4*x1, x1*x4^2, x1*x3*x4*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4*x1, x1*x4*x1*x2*x4, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4*x1, x3, x1*x4*x1*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x2*x4^3, x1*x4*x2*x4, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4*x1, x3, x1*x3*x4*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x4^2, x1*x4*x1*x2*x4, x1*x3*x4^2, x1*x2*x4*x1*x2*x4 ]
[ x4^3, x1*x4^2, x1*x4*x1*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x4^2, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x4^2, x1*x3*x4*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x4*x1*x2*x4, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x3, x1*x4*x1*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x4*x2*x4, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x3, x1*x3*x4*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x4^2, x1*x4*x1*x2*x4, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4*x1, x1*x4^2, x1*x4*x1*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x2*x4^3, x1*x4^2, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4*x1, x1*x4^2, x1*x3*x4*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4*x1, x1*x4*x1*x2*x4, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4*x1, x3, x1*x4*x1*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x2*x4^3, x1*x4*x2*x4, x1*x3*x4^2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4*x1, x3, x1*x3*x4*x2*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x4^2, x1*x4*x1*x2*x4, x1*x3*x4^2, x1*x2*x4*x1*x2*x4 ]
[ x4^3, x1, x2*x4^2, x2*x4*x2*x4, x4^2 ]
[ x4^3, x1, x2*x3*x4^2, x2*x4*x2*x4, x4^2 ]
[ x4^3, x1, x3, x2*x4*x2*x4, x4^2 ]
[ x4^3, x2*x4^2, x2*x3*x4^2, x2*x4*x2*x4, x4^2 ]
[ x4^3, x1*x2*x3*x4^2, x2*x4^2, x2*x4*x2*x4, x4^2 ]
[ x4^3, x1*x2*x4^2, x2*x3*x4^2, x2*x4*x2*x4, x4^2 ]
[ x4^3, x1*x2*x3*x4^2, x3, x2*x4*x2*x4, x4^2 ]
[ x1, x2*x4^2, x2*x3*x4^2, x2*x4*x2*x4, x4^2 ]
[ x3*x4*x2, x1, x2*x4^2, x2*x4*x2*x4, x4^2 ]
[ x4*x2, x1, x2*x3*x4^2, x2*x4*x2*x4, x4^2 ]
[ x3*x4*x2, x1, x3, x2*x4*x2*x4, x4^2 ]
[ x1*x4^3, x2*x4^2, x2*x3*x4^2, x2*x4*x2*x4, x4^2 ]
[ x3*x4*x2, x1*x2*x3*x4^2, x2*x4^2, x2*x4*x2*x4, x4^2 ]
[ x4*x2, x1*x2*x4^2, x2*x3*x4^2, x2*x4*x2*x4, x4^2 ]
[ x3*x4*x2, x1*x2*x3*x4^2, x3, x2*x4*x2*x4, x4^2 ]
[ x4^3, x1, x2*x4^2, x2*x3*x4^2, x2*x4*x2*x4 ]
[ x2*x4, x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x2*x4, x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x2*x4, x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x2*x4, x2, x1, x1*x2*x1*x2, x3^2 ]
[ x2*x4, x1*x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x2*x4, x2*x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x2*x4, x1*x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x3^3, x2, x1, x1*x2*x1*x2, x3^2 ]
[ x1*x2*x4, x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x4, x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x1*x2*x4, x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x2*x3^3*x4, x2, x1, x1*x2*x1*x2, x3^2 ]
[ x1*x2*x4, x1*x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x4, x2*x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x1*x2*x4, x1*x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x2*x4, x3^3, x2, x1, x1*x2*x1*x2 ]
[ x1*x4*x1*x4^2, x1, x4*x1*x4*x2, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4^2, x1, x3, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4^2, x1, x3*x4*x1*x4*x2, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4^2, x4*x1*x4*x2, x3, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4^2, x1*x3, x4*x1*x4*x2, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4^2, x1*x4*x1*x4*x2, x3, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4^2, x1*x3, x3*x4*x1*x4*x2, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4 ]
[ x1, x4*x1*x4*x2, x3, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4 ]
[ x1*x3*x4*x1*x4^2, x1, x4*x1*x4*x2, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4 ]
[ x1*x2*x4, x1, x3, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4 ]
[ x1*x3*x4*x1*x4^2, x1, x3*x4*x1*x4*x2, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4 ]
[ x1*x4^3, x4*x1*x4*x2, x3, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4 ]
[ x1*x3*x4*x1*x4^2, x1*x3, x4*x1*x4*x2, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4 ]
[ x1*x2*x4, x1*x4*x1*x4*x2, x3, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4 ]
[ x1*x3*x4*x1*x4^2, x1*x3, x3*x4*x1*x4*x2, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4^2, x1, x4*x1*x4*x2, x3, x1*x2*x4*x1*x2*x4 ]
[ x2*x4*x2*x4*x2*x4, x3, x2, x1^2, x2*x4*x2*x4 ]
[ x2*x4*x2*x4*x2*x4, x3, x1, x1^2, x2*x4*x2*x4 ]
[ x2*x4*x2*x4*x2*x4, x3, x1^3*x2, x1^2, x2*x4*x2*x4 ]
[ x2*x4*x2*x4*x2*x4, x2, x1, x1^2, x2*x4*x2*x4 ]
[ x2*x4*x2*x4*x2*x4, x1*x3, x2, x1^2, x2*x4*x2*x4 ]
[ x2*x4*x2*x4*x2*x4, x2*x3, x1, x1^2, x2*x4*x2*x4 ]
[ x2*x4*x2*x4*x2*x4, x1*x3, x1^3*x2, x1^2, x2*x4*x2*x4 ]
[ x3, x2, x1, x1^2, x2*x4*x2*x4 ]
[ x1^3*x2*x4*x2*x4*x2*x4, x3, x2, x1^2, x2*x4*x2*x4 ]
[ x4*x2*x4*x2*x4, x3, x1, x1^2, x2*x4*x2*x4 ]
[ x1^3*x2*x4*x2*x4*x2*x4, x3, x1^3*x2, x1^2, x2*x4*x2*x4 ]
[ x2*x3*x4*x2*x4*x2*x4, x2, x1, x1^2, x2*x4*x2*x4 ]
[ x1^3*x2*x4*x2*x4*x2*x4, x1*x3, x2, x1^2, x2*x4*x2*x4 ]
[ x4*x2*x4*x2*x4, x2*x3, x1, x1^2, x2*x4*x2*x4 ]
[ x1^3*x2*x4*x2*x4*x2*x4, x1*x3, x1^3*x2, x1^2, x2*x4*x2*x4 ]
[ x2*x4*x2*x4*x2*x4, x3, x2, x1, x1^2 ]
[ x4*x2*x4*x2*x4, x3, x1, x1*x3*x1*x3, x2*x4*x2*x4 ]
[ x4*x2*x4*x2*x4, x3, x1*x2, x1*x3*x1*x3, x2*x4*x2*x4 ]
[ x4*x2*x4*x2*x4, x3, x2, x1*x3*x1*x3, x2*x4*x2*x4 ]
[ x4*x2*x4*x2*x4, x1, x1*x2, x1*x3*x1*x3, x2*x4*x2*x4 ]
[ x4*x2*x4*x2*x4, x1*x2*x3, x1, x1*x3*x1*x3, x2*x4*x2*x4 ]
[ x4*x2*x4*x2*x4, x3*x1, x1*x2, x1*x3*x1*x3, x2*x4*x2*x4 ]
[ x4*x2*x4*x2*x4, x1*x2*x3, x2, x1*x3*x1*x3, x2*x4*x2*x4 ]
[ x3, x1, x1*x2, x1*x3*x1*x3, x2*x4*x2*x4 ]
[ x1*x2*x4*x2*x4*x2*x4, x3, x1, x1*x3*x1*x3, x2*x4*x2*x4 ]
[ x1*x4*x2*x4*x2*x4, x3, x1*x2, x1*x3*x1*x3, x2*x4*x2*x4 ]
[ x1*x2*x4*x2*x4*x2*x4, x3, x2, x1*x3*x1*x3, x2*x4*x2*x4 ]
[ x3*x4*x2*x4*x2*x4, x1, x1*x2, x1*x3*x1*x3, x2*x4*x2*x4 ]
[ x1*x2*x4*x2*x4*x2*x4, x1*x2*x3, x1, x1*x3*x1*x3, x2*x4*x2*x4 ]
[ x1*x4*x2*x4*x2*x4, x3*x1, x1*x2, x1*x3*x1*x3, x2*x4*x2*x4 ]
[ x1*x2*x4*x2*x4*x2*x4, x1*x2*x3, x2, x1*x3*x1*x3, x2*x4*x2*x4 ]
[ x4*x2*x4*x2*x4, x3, x1, x1*x2, x1*x3*x1*x3 ]
[ x4, x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x4, x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x4, x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x4, x2, x1, x1*x2*x1*x2, x3^2 ]
[ x4, x1*x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x4, x1*x2*x1*x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x4, x1*x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x3^3, x2, x1, x1*x2*x1*x2, x3^2 ]
[ x1*x4, x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x1*x2*x1*x4, x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x1*x4, x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x3^3*x4, x2, x1, x1*x2*x1*x2, x3^2 ]
[ x1*x4, x1*x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x1*x2*x1*x4, x1*x2*x1*x3^3, x1, x1*x2*x1*x2, x3^2 ]
[ x1*x4, x1*x3^3, x2*x1, x1*x2*x1*x2, x3^2 ]
[ x4, x3^3, x2, x1, x1*x2*x1*x2 ]
[ x1*x4*x1*x4^2, x1, x1*x2, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4^2, x1, x3, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4^2, x1, x1*x2*x3, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4^2, x1*x2, x3, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4^2, x1*x3, x1*x2, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4^2, x2, x3, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4^2, x1*x3, x1*x2*x3, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4 ]
[ x1, x1*x2, x3, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4 ]
[ x1*x3*x4*x1*x4^2, x1, x1*x2, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4 ]
[ x2*x4*x1*x4^2, x1, x3, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4 ]
[ x1*x3*x4*x1*x4^2, x1, x1*x2*x3, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4 ]
[ x1*x4^3, x1*x2, x3, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4 ]
[ x1*x3*x4*x1*x4^2, x1*x3, x1*x2, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4 ]
[ x2*x4*x1*x4^2, x2, x3, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4 ]
[ x1*x3*x4*x1*x4^2, x1*x3, x1*x2*x3, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4^2, x1, x1*x2, x3, x1*x2*x4*x1*x2*x4 ]
[ x4*x2*x4*x2*x4, x3, x2, x1^2, x2*x4*x2*x4 ]
[ x4*x2*x4*x2*x4, x3, x1, x1^2, x2*x4*x2*x4 ]
[ x4*x2*x4*x2*x4, x3, x1^3*x2, x1^2, x2*x4*x2*x4 ]
[ x4*x2*x4*x2*x4, x2, x1, x1^2, x2*x4*x2*x4 ]
[ x4*x2*x4*x2*x4, x1*x3, x2, x1^2, x2*x4*x2*x4 ]
[ x4*x2*x4*x2*x4, x2*x3, x1, x1^2, x2*x4*x2*x4 ]
[ x4*x2*x4*x2*x4, x1*x3, x1^3*x2, x1^2, x2*x4*x2*x4 ]
[ x3, x2, x1, x1^2, x2*x4*x2*x4 ]
[ x1^3*x4*x2*x4*x2*x4, x3, x2, x1^2, x2*x4*x2*x4 ]
[ x2*x4*x2*x4*x2*x4, x3, x1, x1^2, x2*x4*x2*x4 ]
[ x1^3*x4*x2*x4*x2*x4, x3, x1^3*x2, x1^2, x2*x4*x2*x4 ]
[ x3*x4*x2*x4*x2*x4, x2, x1, x1^2, x2*x4*x2*x4 ]
[ x1^3*x4*x2*x4*x2*x4, x1*x3, x2, x1^2, x2*x4*x2*x4 ]
[ x2*x4*x2*x4*x2*x4, x2*x3, x1, x1^2, x2*x4*x2*x4 ]
[ x1^3*x4*x2*x4*x2*x4, x1*x3, x1^3*x2, x1^2, x2*x4*x2*x4 ]
[ x4*x2*x4*x2*x4, x3, x2, x1, x1^2 ]
[ x4^3, x2, x1, x3*x4*x3*x4, x4^2 ]
[ x4^3, x2, x3, x3*x4*x3*x4, x4^2 ]
[ x4^3, x2, x1*x3, x3*x4*x3*x4, x4^2 ]
[ x4^3, x1, x3, x3*x4*x3*x4, x4^2 ]
[ x4^3, x2*x3, x1, x3*x4*x3*x4, x4^2 ]
[ x4^3, x1*x2, x3, x3*x4*x3*x4, x4^2 ]
[ x4^3, x2*x3, x1*x3, x3*x4*x3*x4, x4^2 ]
[ x2, x1, x3, x3*x4*x3*x4, x4^2 ]
[ x4^3*x3, x2, x1, x3*x4*x3*x4, x4^2 ]
[ x1*x4^3, x2, x3, x3*x4*x3*x4, x4^2 ]
[ x4^3*x3, x2, x1*x3, x3*x4*x3*x4, x4^2 ]
[ x2*x4^3, x1, x3, x3*x4*x3*x4, x4^2 ]
[ x4^3*x3, x2*x3, x1, x3*x4*x3*x4, x4^2 ]
[ x1*x4^3, x1*x2, x3, x3*x4*x3*x4, x4^2 ]
[ x4^3*x3, x2*x3, x1*x3, x3*x4*x3*x4, x4^2 ]
[ x4^3, x2, x1, x3, x3*x4*x3*x4 ]
[ x4, x3^3, x2, x1^2, x3^2 ]
[ x4, x3^3, x1, x1^2, x3^2 ]
[ x4, x3^3, x1^3*x2, x1^2, x3^2 ]
[ x4, x2, x1, x1^2, x3^2 ]
[ x4, x1^3*x3^3, x2, x1^2, x3^2 ]
[ x4, x2*x3^3, x1, x1^2, x3^2 ]
[ x4, x1^3*x3^3, x1^3*x2, x1^2, x3^2 ]
[ x3^3, x2, x1, x1^2, x3^2 ]
[ x1^3*x4, x3^3, x2, x1^2, x3^2 ]
[ x2*x4, x3^3, x1, x1^2, x3^2 ]
[ x1^3*x4, x3^3, x1^3*x2, x1^2, x3^2 ]
[ x3^3*x4, x2, x1, x1^2, x3^2 ]
[ x1^3*x4, x1^3*x3^3, x2, x1^2, x3^2 ]
[ x2*x4, x2*x3^3, x1, x1^2, x3^2 ]
[ x1^3*x4, x1^3*x3^3, x1^3*x2, x1^2, x3^2 ]
[ x4, x3^3, x2, x1, x1^2 ]
[ x4, x3^3, x2, x1^2, x3^2 ]
[ x4, x3^3, x1, x1^2, x3^2 ]
[ x4, x3^3, x1^3*x2, x1^2, x3^2 ]
[ x4, x2, x1, x1^2, x3^2 ]
[ x4, x1^3*x3^3, x2, x1^2, x3^2 ]
[ x4, x2*x3^3, x1, x1^2, x3^2 ]
[ x4, x1^3*x3^3, x1^3*x2, x1^2, x3^2 ]
[ x3^3, x2, x1, x1^2, x3^2 ]
[ x1^3*x4, x3^3, x2, x1^2, x3^2 ]
[ x2*x4, x3^3, x1, x1^2, x3^2 ]
[ x1^3*x4, x3^3, x1^3*x2, x1^2, x3^2 ]
[ x3^3*x4, x2, x1, x1^2, x3^2 ]
[ x1^3*x4, x1^3*x3^3, x2, x1^2, x3^2 ]
[ x2*x4, x2*x3^3, x1, x1^2, x3^2 ]
[ x1^3*x4, x1^3*x3^3, x1^3*x2, x1^2, x3^2 ]
[ x4, x3^3, x2, x1, x1^2 ]
[ x4, x3^3, x2, x1^2, x3^2 ]
[ x4, x3^3, x1, x1^2, x3^2 ]
[ x4, x3^3, x1^3*x2, x1^2, x3^2 ]
[ x4, x2, x1, x1^2, x3^2 ]
[ x4, x1^3*x3^3, x2, x1^2, x3^2 ]
[ x4, x2*x3^3, x1, x1^2, x3^2 ]
[ x4, x1^3*x3^3, x1^3*x2, x1^2, x3^2 ]
[ x3^3, x2, x1, x1^2, x3^2 ]
[ x1^3*x4, x3^3, x2, x1^2, x3^2 ]
[ x2*x4, x3^3, x1, x1^2, x3^2 ]
[ x1^3*x4, x3^3, x1^3*x2, x1^2, x3^2 ]
[ x3^3*x4, x2, x1, x1^2, x3^2 ]
[ x1^3*x4, x1^3*x3^3, x2, x1^2, x3^2 ]
[ x2*x4, x2*x3^3, x1, x1^2, x3^2 ]
[ x1^3*x4, x1^3*x3^3, x1^3*x2, x1^2, x3^2 ]
[ x4, x3^3, x2, x1, x1^2 ]
[ x1*x2*x4*x1*x4^4, x1*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4*x1*x4^4, x1*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4*x1*x4^4, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4*x1*x4^4, x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4*x1*x4^4, x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4*x1*x4^4, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4*x1*x4^4, x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x3, x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4^4, x1*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4^4, x1*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4^4, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x3*x4*x1*x4^4, x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4^4, x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4^4, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4^4, x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4*x1*x4^4, x1*x3, x2, x1, x1*x4*x1*x4 ]
gap> LogTo();