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/(2)^2(6)^4/group.2813");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 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, -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 2 generators>
gap> Append(names,["ordnung.12/(2)^2(6)^4/words.group.2813"]);
gap> Append(GROUPS,[P1]);
gap> R := CaratReadBravaisFile("ordnung.12/(2)^2(6)^4/group.2814");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 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, 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 2 generators>
gap> Append(names,["ordnung.12/(2)^2(6)^4/words.group.2814"]);
gap> Append(GROUPS,[P2]);
gap> R := CaratReadBravaisFile("ordnung.12/(2)^2(6)^4/group.2815");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 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, -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/(2)^2(6)^4/words.group.2815"]);
gap> Append(GROUPS,[P3]);
gap> R := CaratReadBravaisFile("ordnung.12/(2)^2(6)^4/group.2816");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 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, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 12 )
gap> P4 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.12/(2)^2(6)^4/words.group.2816"]);
gap> Append(GROUPS,[P4]);
gap> R := CaratReadBravaisFile("ordnung.12/(2)^4(6)^2/group.2817");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 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, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 12 )
gap> P5 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.12/(2)^4(6)^2/words.group.2817"]);
gap> Append(GROUPS,[P5]);
gap> R := CaratReadBravaisFile("ordnung.12/(2)^4(6)^2/group.2818");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 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, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 12 )
gap> P6 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.12/(2)^4(6)^2/words.group.2818"]);
gap> Append(GROUPS,[P6]);
gap> R := CaratReadBravaisFile("ordnung.12/(2)^4(6)^4(18)^2/group.2819");
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, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 12 )
gap> P7 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.12/(2)^4(6)^4(18)^2/words.group.2819"]);
gap> Append(GROUPS,[P7]);
gap> R := CaratReadBravaisFile("ordnung.12/(2)^4(6)^4(18)^2/group.2820");
rec(
generators := [ [ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1,
-1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 12 )
gap> P8 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.12/(2)^4(6)^4(18)^2/words.group.2820"]);
gap> Append(GROUPS,[P8]);
gap> R := CaratReadBravaisFile("ordnung.12/(2)^4(6)^4(18)^2/min.406");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1,
1, 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, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 12 )
gap> P9 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.12/(2)^4(6)^4(18)^2/words.min.406"]);
gap> Append(GROUPS,[P9]);
gap> R := CaratReadBravaisFile("ordnung.12/(2)^4(6)^4(18)^2/min.407");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1,
-1, 0, 0 ], [ 0, 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, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 12 )
gap> P10 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.12/(2)^4(6)^4(18)^2/words.min.407"]);
gap> Append(GROUPS,[P10]);
gap> R := CaratReadBravaisFile("ordnung.12/(6)^6/group.2821");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 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, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 12 )
gap> P11 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.12/(6)^6/words.group.2821"]);
gap> Append(GROUPS,[P11]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^3(3)^3(6)^2/group.2822");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 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 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 144 )
gap> P12 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^3(3)^3(6)^2/words.group.2822"]);
gap> Append(GROUPS,[P12]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^3(3)^3(6)^2/group.2823");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 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, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 144 )
gap> P13 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^3(3)^3(6)^2/words.group.2823"]);
gap> Append(GROUPS,[P13]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^3(3)^5(6)^1(18)^1/group.2824");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 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, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 144 )
gap> P14 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^3(3)^5(6)^1(18)^1/words.group.2824"]);
gap> Append(GROUPS,[P14]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^4(3)^2(6)^1(18)^1/group.2825");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 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 ] ]
,
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 144 )
gap> P15 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^4(3)^2(6)^1(18)^1/words.group.2825"]);
gap> Append(GROUPS,[P15]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^4(3)^4(18)^2/group.2826");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 144 )
gap> P16 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^4(3)^4(18)^2/words.group.2826"]);
gap> Append(GROUPS,[P16]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^4(3)^4(18)^2/group.2827");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 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, 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, -1, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 144 )
gap> P17 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^4(3)^4(18)^2/words.group.2827"]);
gap> Append(GROUPS,[P17]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^4(3)^4(18)^2/group.2828");
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 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 144 )
gap> P18 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^4(3)^4(18)^2/words.group.2828"]);
gap> Append(GROUPS,[P18]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^4(3)^4(18)^2/group.2829");
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 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 144 )
gap> P19 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^4(3)^4(18)^2/words.group.2829"]);
gap> Append(GROUPS,[P19]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^4(6)^2/group.2830");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 144 )
gap> P20 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^4(6)^2/words.group.2830"]);
gap> Append(GROUPS,[P20]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^1(6)^2/group.2831");
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, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 144 )
gap> P21 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^5(3)^1(6)^2/words.group.2831"]);
gap> Append(GROUPS,[P21]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^1(6)^2/group.2832");
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, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 144 )
gap> P22 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^5(3)^1(6)^2/words.group.2832"]);
gap> Append(GROUPS,[P22]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^1(6)^2/group.2833");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 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, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 144 )
gap> P23 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^5(3)^1(6)^2/words.group.2833"]);
gap> Append(GROUPS,[P23]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^1(6)^2/group.2834");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 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, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 144 )
gap> P24 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^5(3)^1(6)^2/words.group.2834"]);
gap> Append(GROUPS,[P24]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^1(6)^2/group.2835");
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, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 144 )
gap> P25 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^5(3)^1(6)^2/words.group.2835"]);
gap> Append(GROUPS,[P25]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^1(6)^2/group.2836");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 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, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 144 )
gap> P26 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^5(3)^1(6)^2/words.group.2836"]);
gap> Append(GROUPS,[P26]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^1(6)^2/group.2837");
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, -1, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 144 )
gap> P27 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^5(3)^1(6)^2/words.group.2837"]);
gap> Append(GROUPS,[P27]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^1(6)^2/group.2838");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 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, -1, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 144 )
gap> P28 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^5(3)^1(6)^2/words.group.2838"]);
gap> Append(GROUPS,[P28]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^1(6)^2/group.2839");
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, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 144 )
gap> P29 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^5(3)^1(6)^2/words.group.2839"]);
gap> Append(GROUPS,[P29]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^1(6)^2/group.2840");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 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, -1, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 144 )
gap> P30 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^5(3)^1(6)^2/words.group.2840"]);
gap> Append(GROUPS,[P30]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^1(6)^2/group.2841");
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, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 144 )
gap> P31 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^5(3)^1(6)^2/words.group.2841"]);
gap> Append(GROUPS,[P31]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^1(6)^2/group.2842");
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, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 144 )
gap> P32 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^5(3)^1(6)^2/words.group.2842"]);
gap> Append(GROUPS,[P32]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2843");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 144 )
gap> P33 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2843"]);
gap> Append(GROUPS,[P33]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2844");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 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, -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 := 144 )
gap> P34 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2844"]);
gap> Append(GROUPS,[P34]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2845");
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 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, -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 := 144 )
gap> P35 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2845"]);
gap> Append(GROUPS,[P35]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2846");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 144 )
gap> P36 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2846"]);
gap> Append(GROUPS,[P36]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2847");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 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, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 144 )
gap> P37 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2847"]);
gap> Append(GROUPS,[P37]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2848");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 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, -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 := 144 )
gap> P38 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2848"]);
gap> Append(GROUPS,[P38]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2849");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 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, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 144 )
gap> P39 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2849"]);
gap> Append(GROUPS,[P39]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2850");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, 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, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 144 )
gap> P40 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2850"]);
gap> Append(GROUPS,[P40]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2851");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 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, -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 := 144 )
gap> P41 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2851"]);
gap> Append(GROUPS,[P41]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2852");
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 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 144 )
gap> P42 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2852"]);
gap> Append(GROUPS,[P42]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2853");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 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 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 144 )
gap> P43 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2853"]);
gap> Append(GROUPS,[P43]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2854");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 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, -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 := 144 )
gap> P44 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2854"]);
gap> Append(GROUPS,[P44]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2855");
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 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 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 := 144 )
gap> P45 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2855"]);
gap> Append(GROUPS,[P45]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2856");
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, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 144 )
gap> P46 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2856"]);
gap> Append(GROUPS,[P46]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2857");
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 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, -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 := 144 )
gap> P47 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2857"]);
gap> Append(GROUPS,[P47]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2858");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 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, 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, -1, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 144 )
gap> P48 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2858"]);
gap> Append(GROUPS,[P48]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2859");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 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, -1, 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, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 144 )
gap> P49 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2859"]);
gap> Append(GROUPS,[P49]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2860");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 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, -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, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 144 )
gap> P50 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2860"]);
gap> Append(GROUPS,[P50]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2861");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 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, -1, 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, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 144 )
gap> P51 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2861"]);
gap> Append(GROUPS,[P51]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2862");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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 := 144 )
gap> P52 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2862"]);
gap> Append(GROUPS,[P52]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2863");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 144 )
gap> P53 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2863"]);
gap> Append(GROUPS,[P53]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2864");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, -1, 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, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 144 )
gap> P54 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2864"]);
gap> Append(GROUPS,[P54]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2865");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 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, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 144 )
gap> P55 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2865"]);
gap> Append(GROUPS,[P55]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2866");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 144 )
gap> P56 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2866"]);
gap> Append(GROUPS,[P56]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2867");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
, [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 144 )
gap> P57 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2867"]);
gap> Append(GROUPS,[P57]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2868");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 144 )
gap> P58 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2868"]);
gap> Append(GROUPS,[P58]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2869");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 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, -1, 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, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 144 )
gap> P59 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2869"]);
gap> Append(GROUPS,[P59]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2870");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 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, 1, 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, -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, -1, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 144 )
gap> P60 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2870"]);
gap> Append(GROUPS,[P60]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2871");
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 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 144 )
gap> P61 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2871"]);
gap> Append(GROUPS,[P61]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2872");
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, 0, 1, 0, 0 ],
[ 0, 0, -1, 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 := 144 )
gap> P62 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2872"]);
gap> Append(GROUPS,[P62]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2873");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 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 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 144 )
gap> P63 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2873"]);
gap> Append(GROUPS,[P63]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2874");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, -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 := 144 )
gap> P64 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2874"]);
gap> Append(GROUPS,[P64]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2875");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1,
1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 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, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 144 )
gap> P65 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2875"]);
gap> Append(GROUPS,[P65]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2876");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1,
1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 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, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 144 )
gap> P66 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2876"]);
gap> Append(GROUPS,[P66]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2877");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 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, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 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, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 144 )
gap> P67 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2877"]);
gap> Append(GROUPS,[P67]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2878");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 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, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 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 := 144 )
gap> P68 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2878"]);
gap> Append(GROUPS,[P68]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2879");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, -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 := 144 )
gap> P69 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2879"]);
gap> Append(GROUPS,[P69]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2880");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 144 )
gap> P70 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2880"]);
gap> Append(GROUPS,[P70]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2881");
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, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 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, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 144 )
gap> P71 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2881"]);
gap> Append(GROUPS,[P71]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2882");
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, 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 := 144 )
gap> P72 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2882"]);
gap> Append(GROUPS,[P72]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2883");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, -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, -1, 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, -1, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 144 )
gap> P73 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2883"]);
gap> Append(GROUPS,[P73]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2884");
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 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 144 )
gap> P74 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2884"]);
gap> Append(GROUPS,[P74]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2885");
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, 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, -1, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 144 )
gap> P75 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2885"]);
gap> Append(GROUPS,[P75]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2886");
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 ], [ -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, -1, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 144 )
gap> P76 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2886"]);
gap> Append(GROUPS,[P76]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2887");
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, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 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, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 144 )
gap> P77 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2887"]);
gap> Append(GROUPS,[P77]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2888");
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, 1, 0, 0 ],
[ 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 := 144 )
gap> P78 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2888"]);
gap> Append(GROUPS,[P78]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2889");
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 ], [ -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, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 144 )
gap> P79 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2889"]);
gap> Append(GROUPS,[P79]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2890");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
1, 0, 0 ], [ 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, -1, 0, 0 ],
[ 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, -1, 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, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 144 )
gap> P80 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2890"]);
gap> Append(GROUPS,[P80]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2891");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 144 )
gap> P81 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2891"]);
gap> Append(GROUPS,[P81]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2892");
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, -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 := 144 )
gap> P82 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2892"]);
gap> Append(GROUPS,[P82]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2893");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 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 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 144 )
gap> P83 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2893"]);
gap> Append(GROUPS,[P83]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2894");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 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, 1, 0, 0 ],
[ 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, -1, 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, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 144 )
gap> P84 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2894"]);
gap> Append(GROUPS,[P84]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2895");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 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, 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 := 144 )
gap> P85 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2895"]);
gap> Append(GROUPS,[P85]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2896");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
1, 0, 0 ], [ 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, -1, 0, 0 ],
[ 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, -1, 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, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 144 )
gap> P86 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2896"]);
gap> Append(GROUPS,[P86]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2897");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 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, 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 := 144 )
gap> P87 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2897"]);
gap> Append(GROUPS,[P87]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2898");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 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, 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 := 144 )
gap> P88 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2898"]);
gap> Append(GROUPS,[P88]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2899");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 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, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 144 )
gap> P89 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2899"]);
gap> Append(GROUPS,[P89]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2900");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 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, 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 := 144 )
gap> P90 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2900"]);
gap> Append(GROUPS,[P90]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2901");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 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, 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 := 144 )
gap> P91 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2901"]);
gap> Append(GROUPS,[P91]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2902");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 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, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 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, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 144 )
gap> P92 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2902"]);
gap> Append(GROUPS,[P92]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2903");
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, -1, 1, 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, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 144 )
gap> P93 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2903"]);
gap> Append(GROUPS,[P93]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2904");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1,
1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 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, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 144 )
gap> P94 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2904"]);
gap> Append(GROUPS,[P94]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2905");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 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, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 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 := 144 )
gap> P95 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2905"]);
gap> Append(GROUPS,[P95]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2906");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 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, 1, 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, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 144 )
gap> P96 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2906"]);
gap> Append(GROUPS,[P96]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2907");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1,
1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 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 := 144 )
gap> P97 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2907"]);
gap> Append(GROUPS,[P97]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2908");
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 ], [ -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, -1, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 144 )
gap> P98 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2908"]);
gap> Append(GROUPS,[P98]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2909");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
1, 0, 0 ], [ 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, -1, 0, 0 ],
[ 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, -1, 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, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 144 )
gap> P99 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2909"]);
gap> Append(GROUPS,[P99]);
gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2910");
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 ], [ -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, -1, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 144 )
gap> P100 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2910"]);
gap> Append(GROUPS,[P100]);
gap> R := CaratReadBravaisFile("ordnung.18/(1)^2(3)^2(18)^2/min.408");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, 1, -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 := 18 )
gap> P101 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.18/(1)^2(3)^2(18)^2/words.min.408"]);
gap> Append(GROUPS,[P101]);
gap> R := CaratReadBravaisFile("ordnung.18/(1)^2(3)^2(18)^2/min.409");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, 1, -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 := 18 )
gap> P102 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.18/(1)^2(3)^2(18)^2/words.min.409"]);
gap> Append(GROUPS,[P102]);
gap> R := CaratReadBravaisFile("ordnung.18/(1)^2(3)^3(9)^1(18)^2/min.410");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, 1, -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 := 18 )
gap> P103 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.18/(1)^2(3)^3(9)^1(18)^2/words.min.410"]);
gap> Append(GROUPS,[P103]);
gap> R := CaratReadBravaisFile("ordnung.18/(1)^2(3)^3(9)^1(18)^2/min.411");
rec(
generators := [ [ [ -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, 0, 1, 0, 0 ],
[ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 18 )
gap> P104 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.18/(1)^2(3)^3(9)^1(18)^2/words.min.411"]);
gap> Append(GROUPS,[P104]);
gap> R := CaratReadBravaisFile("ordnung.18/(3)^4(6)^2/group.2911");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
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 := 18 )
gap> P105 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.18/(3)^4(6)^2/words.group.2911"]);
gap> Append(GROUPS,[P105]);
gap> R := CaratReadBravaisFile("ordnung.18/(3)^8(18)^2/min.412");
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, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 18 )
gap> P106 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.18/(3)^8(18)^2/words.min.412"]);
gap> Append(GROUPS,[P106]);
gap> R := CaratReadBravaisFile("ordnung.24/(2)^2(6)^4/group.2912");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 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, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 24 )
gap> P107 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(2)^2(6)^4/words.group.2912"]);
gap> Append(GROUPS,[P107]);
gap> R := CaratReadBravaisFile("ordnung.24/(2)^4(6)^2/group.2913");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 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, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 24 )
gap> P108 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(2)^4(6)^2/words.group.2913"]);
gap> Append(GROUPS,[P108]);
gap> R := CaratReadBravaisFile("ordnung.24/(2)^4(6)^2/group.2914");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 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, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 24 )
gap> P109 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(2)^4(6)^2/words.group.2914"]);
gap> Append(GROUPS,[P109]);
gap> R := CaratReadBravaisFile("ordnung.24/(2)^4(6)^2/group.2915");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 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, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 24 )
gap> P110 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(2)^4(6)^2/words.group.2915"]);
gap> Append(GROUPS,[P110]);
gap> R := CaratReadBravaisFile("ordnung.24/(2)^4(6)^2/group.2916");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 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, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 24 )
gap> P111 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(2)^4(6)^2/words.group.2916"]);
gap> Append(GROUPS,[P111]);
gap> R := CaratReadBravaisFile("ordnung.24/(2)^4(6)^2/group.2917");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 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, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 24 )
gap> P112 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(2)^4(6)^2/words.group.2917"]);
gap> Append(GROUPS,[P112]);
gap> R := CaratReadBravaisFile("ordnung.24/(2)^4(6)^4(18)^2/group.2918");
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 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 24 )
gap> P113 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(2)^4(6)^4(18)^2/words.group.2918"]);
gap> Append(GROUPS,[P113]);
gap> R := CaratReadBravaisFile("ordnung.24/(2)^4(6)^4(18)^2/group.2919");
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 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 24 )
gap> P114 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(2)^4(6)^4(18)^2/words.group.2919"]);
gap> Append(GROUPS,[P114]);
gap> R := CaratReadBravaisFile("ordnung.24/(2)^5(6)^4(18)^1/group.2920");
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 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 24 )
gap> P115 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(2)^5(6)^4(18)^1/words.group.2920"]);
gap> Append(GROUPS,[P115]);
gap> R := CaratReadBravaisFile("ordnung.24/(2)^5(6)^4(18)^1/group.2921");
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 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 24 )
gap> P116 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(2)^5(6)^4(18)^1/words.group.2921"]);
gap> Append(GROUPS,[P116]);
gap> R := CaratReadBravaisFile("ordnung.24/(2)^5(6)^4(18)^1/group.2922");
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 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 24 )
gap> P117 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(2)^5(6)^4(18)^1/words.group.2922"]);
gap> Append(GROUPS,[P117]);
gap> R := CaratReadBravaisFile("ordnung.24/(2)^5(6)^4(18)^1/group.2923");
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 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 24 )
gap> P118 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(2)^5(6)^4(18)^1/words.group.2923"]);
gap> Append(GROUPS,[P118]);
gap> R := CaratReadBravaisFile("ordnung.24/(2)^5(6)^4(18)^1/group.2924");
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, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 24 )
gap> P119 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(2)^5(6)^4(18)^1/words.group.2924"]);
gap> Append(GROUPS,[P119]);
gap> R := CaratReadBravaisFile("ordnung.24/(2)^5(6)^4(18)^1/group.2925");
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, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 24 )
gap> P120 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(2)^5(6)^4(18)^1/words.group.2925"]);
gap> Append(GROUPS,[P120]);
gap> R := CaratReadBravaisFile("ordnung.24/(2)^6(6)^4/group.2926");
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 ] ],
[ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 24 )
gap> P121 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(2)^6(6)^4/words.group.2926"]);
gap> Append(GROUPS,[P121]);
gap> R := CaratReadBravaisFile("ordnung.24/(2)^6(6)^4/group.2927");
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 ]
],
[ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 24 )
gap> P122 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(2)^6(6)^4/words.group.2927"]);
gap> Append(GROUPS,[P122]);
gap> R := CaratReadBravaisFile("ordnung.24/(2)^6(6)^4/group.2928");
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, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 24 )
gap> P123 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(2)^6(6)^4/words.group.2928"]);
gap> Append(GROUPS,[P123]);
gap> R := CaratReadBravaisFile("ordnung.24/(2)^6(6)^4/group.2929");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 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, 1, 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, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 24 )
gap> P124 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(2)^6(6)^4/words.group.2929"]);
gap> Append(GROUPS,[P124]);
gap> R := CaratReadBravaisFile("ordnung.24/(2)^6(6)^4/group.2930");
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, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 24 )
gap> P125 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(2)^6(6)^4/words.group.2930"]);
gap> Append(GROUPS,[P125]);
gap> R := CaratReadBravaisFile("ordnung.24/(2)^6(6)^4/group.2931");
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, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 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> P126 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.24/(2)^6(6)^4/words.group.2931"]);
gap> Append(GROUPS,[P126]);
gap> R := CaratReadBravaisFile("ordnung.288/(1)^5(3)^1(6)^2/group.2932");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 288 )
gap> P127 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.288/(1)^5(3)^1(6)^2/words.group.2932"]);
gap> Append(GROUPS,[P127]);
gap> R := CaratReadBravaisFile("ordnung.288/(1)^5(3)^3(6)^1(18)^1/group.2933");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 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, -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 := 288 )
gap> P128 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.288/(1)^5(3)^3(6)^1(18)^1/words.group.2933"]);
gap> Append(GROUPS,[P128]);
gap> R := CaratReadBravaisFile("ordnung.288/(1)^5(3)^3(6)^1(18)^1/group.2934");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, -1, 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, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 288 )
gap> P129 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.288/(1)^5(3)^3(6)^1(18)^1/words.group.2934"]);
gap> Append(GROUPS,[P129]);
gap> R := CaratReadBravaisFile("ordnung.288/(1)^6(3)^2(6)^2/group.2935");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0,
1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
, [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, -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 := 288 )
gap> P130 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.288/(1)^6(3)^2(6)^2/words.group.2935"]);
gap> Append(GROUPS,[P130]);
gap> R := CaratReadBravaisFile("ordnung.288/(1)^6(3)^2(6)^2/group.2936");
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, 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, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 288 )
gap> P131 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.288/(1)^6(3)^2(6)^2/words.group.2936"]);
gap> Append(GROUPS,[P131]);
gap> R := CaratReadBravaisFile("ordnung.288/(1)^6(3)^2(6)^2/group.2937");
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, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 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 := 288 )
gap> P132 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.288/(1)^6(3)^2(6)^2/words.group.2937"]);
gap> Append(GROUPS,[P132]);
gap> R := CaratReadBravaisFile("ordnung.288/(1)^6(3)^2(6)^2/group.2938");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0,
1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, -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 := 288 )
gap> P133 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.288/(1)^6(3)^2(6)^2/words.group.2938"]);
gap> Append(GROUPS,[P133]);
gap> R := CaratReadBravaisFile("ordnung.288/(1)^6(3)^2(6)^2/group.2939");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 288 )
gap> P134 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.288/(1)^6(3)^2(6)^2/words.group.2939"]);
gap> Append(GROUPS,[P134]);
gap> R := CaratReadBravaisFile("ordnung.288/(1)^6(3)^2(6)^2/group.2940");
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, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 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, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 288 )
gap> P135 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.288/(1)^6(3)^2(6)^2/words.group.2940"]);
gap> Append(GROUPS,[P135]);
gap> R := CaratReadBravaisFile("ordnung.288/(1)^6(3)^2(6)^2/group.2941");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, -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 := 288 )
gap> P136 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.288/(1)^6(3)^2(6)^2/words.group.2941"]);
gap> Append(GROUPS,[P136]);
gap> R := CaratReadBravaisFile("ordnung.288/(1)^6(3)^2(6)^2/group.2942");
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, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 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, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 288 )
gap> P137 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.288/(1)^6(3)^2(6)^2/words.group.2942"]);
gap> Append(GROUPS,[P137]);
gap> R := CaratReadBravaisFile("ordnung.288/(1)^6(3)^2(6)^2/group.2943");
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, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 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, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 288 )
gap> P138 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.288/(1)^6(3)^2(6)^2/words.group.2943"]);
gap> Append(GROUPS,[P138]);
gap> R := CaratReadBravaisFile("ordnung.288/(1)^6(3)^2(6)^2/group.2944");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 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, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 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 := 288 )
gap> P139 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.288/(1)^6(3)^2(6)^2/words.group.2944"]);
gap> Append(GROUPS,[P139]);
gap> R := CaratReadBravaisFile("ordnung.288/(1)^6(3)^2(6)^2/group.2945");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 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, -1, 0, 0 ],
[ 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, -1, 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, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 288 )
gap> P140 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.288/(1)^6(3)^2(6)^2/words.group.2945"]);
gap> Append(GROUPS,[P140]);
gap> R := CaratReadBravaisFile("ordnung.288/(1)^6(3)^2(6)^2/group.2946");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 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, -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, -1, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 288 )
gap> P141 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.288/(1)^6(3)^2(6)^2/words.group.2946"]);
gap> Append(GROUPS,[P141]);
gap> R := CaratReadBravaisFile("ordnung.288/(1)^6(3)^2(6)^2/group.2947");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 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, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -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, -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, -1, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 288 )
gap> P142 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.288/(1)^6(3)^2(6)^2/words.group.2947"]);
gap> Append(GROUPS,[P142]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^2(18)^2/group.2948");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
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, 0, 1, 0, 0 ],
[ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 36 )
gap> P143 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^2(3)^2(18)^2/words.group.2948"]);
gap> Append(GROUPS,[P143]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^2(6)^2/group.2949");
rec(
generators := [ [ [ -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 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 36 )
gap> P144 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^2(3)^2(6)^2/words.group.2949"]);
gap> Append(GROUPS,[P144]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^2(6)^2/group.2950");
rec(
generators := [ [ [ 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 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 36 )
gap> P145 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^2(3)^2(6)^2/words.group.2950"]);
gap> Append(GROUPS,[P145]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^2(6)^2/group.2951");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
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, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 36 )
gap> P146 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^2(3)^2(6)^2/words.group.2951"]);
gap> Append(GROUPS,[P146]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^2(6)^2/group.2952");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
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, 0, 1, 0, 0 ],
[ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 36 )
gap> P147 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^2(3)^2(6)^2/words.group.2952"]);
gap> Append(GROUPS,[P147]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^3(9)^1(18)^2/group.2953");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, 1, -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 := 36 )
gap> P148 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^2(3)^3(9)^1(18)^2/words.group.2953"]);
gap> Append(GROUPS,[P148]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^4(6)^1(18)^1/group.2954");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, -1, 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 := 36 )
gap> P149 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^2(3)^4(6)^1(18)^1/words.group.2954"]);
gap> Append(GROUPS,[P149]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^4(6)^1(18)^1/group.2955");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0,
-1, 0, 0 ], [ 0, 0, 1, -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 := 36 )
gap> P150 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^2(3)^4(6)^1(18)^1/words.group.2955"]);
gap> Append(GROUPS,[P150]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^4(6)^1(18)^1/group.2956");
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, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 36 )
gap> P151 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^2(3)^4(6)^1(18)^1/words.group.2956"]);
gap> Append(GROUPS,[P151]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^4(6)^1(18)^1/group.2957");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0,
-1, 0, 0 ], [ 0, 0, 1, -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 := 36 )
gap> P152 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^2(3)^4(6)^1(18)^1/words.group.2957"]);
gap> Append(GROUPS,[P152]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^4(6)^1(18)^1/group.2958");
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, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 36 )
gap> P153 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^2(3)^4(6)^1(18)^1/words.group.2958"]);
gap> Append(GROUPS,[P153]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^4(6)^1(18)^1/group.2959");
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, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 36 )
gap> P154 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^2(3)^4(6)^1(18)^1/words.group.2959"]);
gap> Append(GROUPS,[P154]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^4(6)^1(18)^1/group.2960");
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, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 36 )
gap> P155 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^2(3)^4(6)^1(18)^1/words.group.2960"]);
gap> Append(GROUPS,[P155]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^4(6)^1(18)^1/group.2961");
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, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 36 )
gap> P156 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^2(3)^4(6)^1(18)^1/words.group.2961"]);
gap> Append(GROUPS,[P156]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^6(18)^2/group.2962");
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, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 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, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 36 )
gap> P157 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.36/(1)^2(3)^6(18)^2/words.group.2962"]);
gap> Append(GROUPS,[P157]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^6(18)^2/group.2963");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1,
1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 36 )
gap> P158 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^2(3)^6(18)^2/words.group.2963"]);
gap> Append(GROUPS,[P158]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^6(18)^2/group.2964");
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 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 36 )
gap> P159 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^2(3)^6(18)^2/words.group.2964"]);
gap> Append(GROUPS,[P159]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^6(18)^2/group.2965");
rec(
generators := [ [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1,
-1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 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, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 36 )
gap> P160 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^2(3)^6(18)^2/words.group.2965"]);
gap> Append(GROUPS,[P160]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^6(18)^2/group.2966");
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, 0, 1, 0, 0 ],
[ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 36 )
gap> P161 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^2(3)^6(18)^2/words.group.2966"]);
gap> Append(GROUPS,[P161]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^6(18)^2/group.2967");
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, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 36 )
gap> P162 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.36/(1)^2(3)^6(18)^2/words.group.2967"]);
gap> Append(GROUPS,[P162]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^6(18)^2/group.2968");
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, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 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, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 36 )
gap> P163 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.36/(1)^2(3)^6(18)^2/words.group.2968"]);
gap> Append(GROUPS,[P163]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^6(18)^2/group.2969");
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, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 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, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 36 )
gap> P164 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.36/(1)^2(3)^6(18)^2/words.group.2969"]);
gap> Append(GROUPS,[P164]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^1(6)^1(18)^1/group.2970");
rec(
generators := [ [ [ 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, -1, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 36 )
gap> P165 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^3(3)^1(6)^1(18)^1/words.group.2970"]);
gap> Append(GROUPS,[P165]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^1(6)^1(18)^1/group.2971");
rec(
generators := [ [ [ 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, -1, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 36 )
gap> P166 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^3(3)^1(6)^1(18)^1/words.group.2971"]);
gap> Append(GROUPS,[P166]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^1(6)^1(18)^1/group.2972");
rec(
generators := [ [ [ 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, -1, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 36 )
gap> P167 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^3(3)^1(6)^1(18)^1/words.group.2972"]);
gap> Append(GROUPS,[P167]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^3(18)^2/group.2973");
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, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 36 )
gap> P168 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^3(3)^3(18)^2/words.group.2973"]);
gap> Append(GROUPS,[P168]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^3(18)^2/group.2974");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, 1, -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 := 36 )
gap> P169 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^3(3)^3(18)^2/words.group.2974"]);
gap> Append(GROUPS,[P169]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^3(18)^2/group.2975");
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 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 36 )
gap> P170 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^3(3)^3(18)^2/words.group.2975"]);
gap> Append(GROUPS,[P170]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^3(18)^2/group.2976");
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, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 36 )
gap> P171 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^3(3)^3(18)^2/words.group.2976"]);
gap> Append(GROUPS,[P171]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^3(18)^2/group.2977");
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, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 36 )
gap> P172 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^3(3)^3(18)^2/words.group.2977"]);
gap> Append(GROUPS,[P172]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^3(18)^2/group.2978");
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, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 36 )
gap> P173 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^3(3)^3(18)^2/words.group.2978"]);
gap> Append(GROUPS,[P173]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^3(18)^2/group.2979");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, 1, -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 := 36 )
gap> P174 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^3(3)^3(18)^2/words.group.2979"]);
gap> Append(GROUPS,[P174]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^3(6)^2/group.2980");
rec(
generators := [ [ [ -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 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 36 )
gap> P175 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^3(3)^3(6)^2/words.group.2980"]);
gap> Append(GROUPS,[P175]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^3(6)^2/group.2981");
rec(
generators := [ [ [ 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 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 36 )
gap> P176 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^3(3)^3(6)^2/words.group.2981"]);
gap> Append(GROUPS,[P176]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^3(6)^2/group.2982");
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 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 36 )
gap> P177 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^3(3)^3(6)^2/words.group.2982"]);
gap> Append(GROUPS,[P177]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^3(6)^2/group.2983");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 36 )
gap> P178 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^3(3)^3(6)^2/words.group.2983"]);
gap> Append(GROUPS,[P178]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^3(6)^2/group.2984");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 36 )
gap> P179 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^3(3)^3(6)^2/words.group.2984"]);
gap> Append(GROUPS,[P179]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^3(6)^2/group.2985");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 36 )
gap> P180 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^3(3)^3(6)^2/words.group.2985"]);
gap> Append(GROUPS,[P180]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^4(9)^1(18)^2/group.2986");
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 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 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, -1, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 36 )
gap> P181 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.36/(1)^3(3)^4(9)^1(18)^2/words.group.2986"]);
gap> Append(GROUPS,[P181]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^4(9)^1(18)^2/group.2987");
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, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 36 )
gap> P182 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^3(3)^4(9)^1(18)^2/words.group.2987"]);
gap> Append(GROUPS,[P182]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^4(9)^1(18)^2/group.2988");
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, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 36 )
gap> P183 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^3(3)^4(9)^1(18)^2/words.group.2988"]);
gap> Append(GROUPS,[P183]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^5(6)^1(18)^1/group.2989");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, 1, -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, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 36 )
gap> P184 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^3(3)^5(6)^1(18)^1/words.group.2989"]);
gap> Append(GROUPS,[P184]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^5(6)^1(18)^1/group.2990");
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 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 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, -1, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 36 )
gap> P185 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.36/(1)^3(3)^5(6)^1(18)^1/words.group.2990"]);
gap> Append(GROUPS,[P185]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^5(6)^1(18)^1/group.2991");
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, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 36 )
gap> P186 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^3(3)^5(6)^1(18)^1/words.group.2991"]);
gap> Append(GROUPS,[P186]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^4(3)^2(6)^1(18)^1/group.2992");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0,
-1, 0, 0 ], [ 0, 0, 1, -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 := 36 )
gap> P187 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^4(3)^2(6)^1(18)^1/words.group.2992"]);
gap> Append(GROUPS,[P187]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^4(3)^2(6)^1(18)^1/group.2993");
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, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 36 )
gap> P188 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^4(3)^2(6)^1(18)^1/words.group.2993"]);
gap> Append(GROUPS,[P188]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^4(3)^2(6)^1(18)^1/group.2994");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, 1, -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 := 36 )
gap> P189 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^4(3)^2(6)^1(18)^1/words.group.2994"]);
gap> Append(GROUPS,[P189]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^4(3)^2(6)^1(18)^1/group.2995");
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, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 36 )
gap> P190 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^4(3)^2(6)^1(18)^1/words.group.2995"]);
gap> Append(GROUPS,[P190]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^4(3)^4(18)^2/group.2996");
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, 1, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 36 )
gap> P191 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.36/(1)^4(3)^4(18)^2/words.group.2996"]);
gap> Append(GROUPS,[P191]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^4(3)^4(18)^2/group.2997");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1,
1, 0, 0 ], [ 0, 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 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 36 )
gap> P192 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.36/(1)^4(3)^4(18)^2/words.group.2997"]);
gap> Append(GROUPS,[P192]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^4(3)^4(18)^2/group.2998");
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, 0, 1, 0, 0 ],
[ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 36 )
gap> P193 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^4(3)^4(18)^2/words.group.2998"]);
gap> Append(GROUPS,[P193]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^4(3)^4(18)^2/group.2999");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1,
1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 36 )
gap> P194 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^4(3)^4(18)^2/words.group.2999"]);
gap> Append(GROUPS,[P194]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^4(3)^4(18)^2/group.3000");
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 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 36 )
gap> P195 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^4(3)^4(18)^2/words.group.3000"]);
gap> Append(GROUPS,[P195]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^4(3)^4(18)^2/group.3001");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1,
-1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 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, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 36 )
gap> P196 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^4(3)^4(18)^2/words.group.3001"]);
gap> Append(GROUPS,[P196]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^4(3)^4(18)^2/group.3002");
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, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 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, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 36 )
gap> P197 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.36/(1)^4(3)^4(18)^2/words.group.3002"]);
gap> Append(GROUPS,[P197]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^4(3)^4(18)^2/group.3003");
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, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 36 )
gap> P198 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.36/(1)^4(3)^4(18)^2/words.group.3003"]);
gap> Append(GROUPS,[P198]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^4(3)^4(18)^2/group.3004");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, -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 := 36 )
gap> P199 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.36/(1)^4(3)^4(18)^2/words.group.3004"]);
gap> Append(GROUPS,[P199]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^4(3)^4(18)^2/group.3005");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, -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, -1, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 36 )
gap> P200 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.36/(1)^4(3)^4(18)^2/words.group.3005"]);
gap> Append(GROUPS,[P200]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^4(6)^2/group.3006");
rec(
generators := [ [ [ 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, 1, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 36 )
gap> P201 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^4(6)^2/words.group.3006"]);
gap> Append(GROUPS,[P201]);
gap> R := CaratReadBravaisFile("ordnung.36/(1)^4(6)^2/group.3007");
rec(
generators := [ [ [ 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, -1, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 36 )
gap> P202 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(1)^4(6)^2/words.group.3007"]);
gap> Append(GROUPS,[P202]);
gap> R := CaratReadBravaisFile("ordnung.36/(3)^4(6)^2/group.3008");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -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, 0, 1, 0, 0 ],
[ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 36 )
gap> P203 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.36/(3)^4(6)^2/words.group.3008"]);
gap> Append(GROUPS,[P203]);
gap> R := CaratReadBravaisFile("ordnung.36/(3)^8(18)^2/group.3009");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1,
1, 0, 0 ], [ 0, 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 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 36 )
gap> P204 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.36/(3)^8(18)^2/words.group.3009"]);
gap> Append(GROUPS,[P204]);
gap> R := CaratReadBravaisFile("ordnung.48/(2)^4(6)^2/group.3010");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 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, 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 4 generators>
gap> Append(names,["ordnung.48/(2)^4(6)^2/words.group.3010"]);
gap> Append(GROUPS,[P205]);
gap> R := CaratReadBravaisFile("ordnung.48/(2)^5(6)^4(18)^1/group.3011");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P206 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(2)^5(6)^4(18)^1/words.group.3011"]);
gap> Append(GROUPS,[P206]);
gap> R := CaratReadBravaisFile("ordnung.48/(2)^6(6)^4/group.3012");
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, 1, -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 4 generators>
gap> Append(names,["ordnung.48/(2)^6(6)^4/words.group.3012"]);
gap> Append(GROUPS,[P207]);
gap> R := CaratReadBravaisFile("ordnung.48/(2)^6(6)^4/group.3013");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0,
1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P208 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(2)^6(6)^4/words.group.3013"]);
gap> Append(GROUPS,[P208]);
gap> R := CaratReadBravaisFile("ordnung.48/(2)^6(6)^4/group.3014");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0,
1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, -1, 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 4 generators>
gap> Append(names,["ordnung.48/(2)^6(6)^4/words.group.3014"]);
gap> Append(GROUPS,[P209]);
gap> R := CaratReadBravaisFile("ordnung.48/(2)^6(6)^4/group.3015");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 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, 1, 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, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P210 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(2)^6(6)^4/words.group.3015"]);
gap> Append(GROUPS,[P210]);
gap> R := CaratReadBravaisFile("ordnung.48/(2)^6(6)^4/group.3016");
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, -1, 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 4 generators>
gap> Append(names,["ordnung.48/(2)^6(6)^4/words.group.3016"]);
gap> Append(GROUPS,[P211]);
gap> R := CaratReadBravaisFile("ordnung.48/(2)^6(6)^4/group.3017");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0,
1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
, [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P212 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(2)^6(6)^4/words.group.3017"]);
gap> Append(GROUPS,[P212]);
gap> R := CaratReadBravaisFile("ordnung.48/(2)^6(6)^4/group.3018");
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, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 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> P213 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.48/(2)^6(6)^4/words.group.3018"]);
gap> Append(GROUPS,[P213]);
gap> R := CaratReadBravaisFile("ordnung.576/(1)^6(3)^2(6)^2/group.3019");
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, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 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, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 576 )
gap> P214 := Group(R.generators);
<matrix group with 6 generators>
gap> Append(names,["ordnung.576/(1)^6(3)^2(6)^2/words.group.3019"]);
gap> Append(GROUPS,[P214]);
gap> R := CaratReadBravaisFile("ordnung.6/(6)^6/min.413");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0,
-1, 0, 0 ], [ 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ] ], size := 6 )
gap> P215 := Group(R.generators);
<matrix group with 1 generators>
gap> Append(names,["ordnung.6/(6)^6/words.min.413"]);
gap> Append(GROUPS,[P215]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^2(3)^2(6)^2/group.3020");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 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 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 72 )
gap> P216 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^2(3)^2(6)^2/words.group.3020"]);
gap> Append(GROUPS,[P216]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^2(3)^4(6)^1(18)^1/group.3021");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 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, 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 := 72 )
gap> P217 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^2(3)^4(6)^1(18)^1/words.group.3021"]);
gap> Append(GROUPS,[P217]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^2(3)^4(6)^1(18)^1/group.3022");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 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, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 72 )
gap> P218 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^2(3)^4(6)^1(18)^1/words.group.3022"]);
gap> Append(GROUPS,[P218]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^2(3)^6(18)^2/group.3023");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 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, 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, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 72 )
gap> P219 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^2(3)^6(18)^2/words.group.3023"]);
gap> Append(GROUPS,[P219]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^2(3)^6(18)^2/group.3024");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, -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, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P220 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^2(3)^6(18)^2/words.group.3024"]);
gap> Append(GROUPS,[P220]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^1(6)^1(18)^1/group.3025");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P221 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^3(3)^1(6)^1(18)^1/words.group.3025"]);
gap> Append(GROUPS,[P221]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^3(18)^2/group.3026");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 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, -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 := 72 )
gap> P222 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^3(3)^3(18)^2/words.group.3026"]);
gap> Append(GROUPS,[P222]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^3(18)^2/group.3027");
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, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P223 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^3(3)^3(18)^2/words.group.3027"]);
gap> Append(GROUPS,[P223]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^3(6)^2/group.3028");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 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 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 72 )
gap> P224 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^3(3)^3(6)^2/words.group.3028"]);
gap> Append(GROUPS,[P224]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^3(6)^2/group.3029");
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, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 72 )
gap> P225 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^3(3)^3(6)^2/words.group.3029"]);
gap> Append(GROUPS,[P225]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^3(6)^2/group.3030");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, -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 := 72 )
gap> P226 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^3(3)^3(6)^2/words.group.3030"]);
gap> Append(GROUPS,[P226]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^3(6)^2/group.3031");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 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, -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 := 72 )
gap> P227 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^3(3)^3(6)^2/words.group.3031"]);
gap> Append(GROUPS,[P227]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^3(6)^2/group.3032");
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, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P228 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^3(3)^3(6)^2/words.group.3032"]);
gap> Append(GROUPS,[P228]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^3(6)^2/group.3033");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 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 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P229 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^3(3)^3(6)^2/words.group.3033"]);
gap> Append(GROUPS,[P229]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^3(6)^2/group.3034");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 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 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P230 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^3(3)^3(6)^2/words.group.3034"]);
gap> Append(GROUPS,[P230]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^3(6)^2/group.3035");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 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, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P231 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^3(3)^3(6)^2/words.group.3035"]);
gap> Append(GROUPS,[P231]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^3(6)^2/group.3036");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 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, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P232 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^3(3)^3(6)^2/words.group.3036"]);
gap> Append(GROUPS,[P232]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^3(6)^2/group.3037");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 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, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 72 )
gap> P233 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^3(3)^3(6)^2/words.group.3037"]);
gap> Append(GROUPS,[P233]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^3(6)^2/group.3038");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 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, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P234 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^3(3)^3(6)^2/words.group.3038"]);
gap> Append(GROUPS,[P234]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^3(6)^2/group.3039");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 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, 1, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 72 )
gap> P235 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^3(3)^3(6)^2/words.group.3039"]);
gap> Append(GROUPS,[P235]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^3(6)^2/group.3040");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 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, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P236 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^3(3)^3(6)^2/words.group.3040"]);
gap> Append(GROUPS,[P236]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^3(6)^2/group.3041");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 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, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P237 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^3(3)^3(6)^2/words.group.3041"]);
gap> Append(GROUPS,[P237]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^4(9)^1(18)^2/group.3042");
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, -1, 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, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P238 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^3(3)^4(9)^1(18)^2/words.group.3042"]);
gap> Append(GROUPS,[P238]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^5(6)^1(18)^1/group.3043");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, 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, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 72 )
gap> P239 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^3(3)^5(6)^1(18)^1/words.group.3043"]);
gap> Append(GROUPS,[P239]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^5(6)^1(18)^1/group.3044");
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, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 72 )
gap> P240 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^3(3)^5(6)^1(18)^1/words.group.3044"]);
gap> Append(GROUPS,[P240]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^5(6)^1(18)^1/group.3045");
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, -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, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 72 )
gap> P241 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^3(3)^5(6)^1(18)^1/words.group.3045"]);
gap> Append(GROUPS,[P241]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^5(6)^1(18)^1/group.3046");
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, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 72 )
gap> P242 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^3(3)^5(6)^1(18)^1/words.group.3046"]);
gap> Append(GROUPS,[P242]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^5(6)^1(18)^1/group.3047");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, -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, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 72 )
gap> P243 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^3(3)^5(6)^1(18)^1/words.group.3047"]);
gap> Append(GROUPS,[P243]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^5(6)^1(18)^1/group.3048");
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 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 72 )
gap> P244 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^3(3)^5(6)^1(18)^1/words.group.3048"]);
gap> Append(GROUPS,[P244]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^5(6)^1(18)^1/group.3049");
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 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 72 )
gap> P245 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^3(3)^5(6)^1(18)^1/words.group.3049"]);
gap> Append(GROUPS,[P245]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^2(6)^1(18)^1/group.3050");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 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 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 72 )
gap> P246 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(3)^2(6)^1(18)^1/words.group.3050"]);
gap> Append(GROUPS,[P246]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^2(6)^1(18)^1/group.3051");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 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 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P247 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(3)^2(6)^1(18)^1/words.group.3051"]);
gap> Append(GROUPS,[P247]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^2(6)^1(18)^1/group.3052");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 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 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 72 )
gap> P248 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(3)^2(6)^1(18)^1/words.group.3052"]);
gap> Append(GROUPS,[P248]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^2(6)^1(18)^1/group.3053");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 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 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 72 )
gap> P249 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(3)^2(6)^1(18)^1/words.group.3053"]);
gap> Append(GROUPS,[P249]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^2(6)^1(18)^1/group.3054");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, -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 := 72 )
gap> P250 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(3)^2(6)^1(18)^1/words.group.3054"]);
gap> Append(GROUPS,[P250]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^2(6)^1(18)^1/group.3055");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P251 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(3)^2(6)^1(18)^1/words.group.3055"]);
gap> Append(GROUPS,[P251]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^2(6)^1(18)^1/group.3056");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 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, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P252 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(3)^2(6)^1(18)^1/words.group.3056"]);
gap> Append(GROUPS,[P252]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^2(6)^1(18)^1/group.3057");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, -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 := 72 )
gap> P253 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(3)^2(6)^1(18)^1/words.group.3057"]);
gap> Append(GROUPS,[P253]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^2(6)^1(18)^1/group.3058");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 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, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 72 )
gap> P254 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(3)^2(6)^1(18)^1/words.group.3058"]);
gap> Append(GROUPS,[P254]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3059");
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 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 72 )
gap> P255 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3059"]);
gap> Append(GROUPS,[P255]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3060");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 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, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P256 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3060"]);
gap> Append(GROUPS,[P256]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3061");
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, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 72 )
gap> P257 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3061"]);
gap> Append(GROUPS,[P257]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3062");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 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, 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, -1, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 72 )
gap> P258 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3062"]);
gap> Append(GROUPS,[P258]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3063");
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, 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 := 72 )
gap> P259 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3063"]);
gap> Append(GROUPS,[P259]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3064");
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, 0, 1, 0, 0 ],
[ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P260 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3064"]);
gap> Append(GROUPS,[P260]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3065");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 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 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 72 )
gap> P261 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3065"]);
gap> Append(GROUPS,[P261]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3066");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 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, -1, 0, 0 ],
[ 0, 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 := 72 )
gap> P262 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3066"]);
gap> Append(GROUPS,[P262]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3067");
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, -1, 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, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 72 )
gap> P263 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3067"]);
gap> Append(GROUPS,[P263]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3068");
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 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 72 )
gap> P264 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3068"]);
gap> Append(GROUPS,[P264]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3069");
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, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P265 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3069"]);
gap> Append(GROUPS,[P265]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3070");
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, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 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 := 72 )
gap> P266 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3070"]);
gap> Append(GROUPS,[P266]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3071");
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, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 72 )
gap> P267 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3071"]);
gap> Append(GROUPS,[P267]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3072");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 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, -1, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 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, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P268 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3072"]);
gap> Append(GROUPS,[P268]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3073");
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 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 72 )
gap> P269 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3073"]);
gap> Append(GROUPS,[P269]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3074");
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, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P270 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3074"]);
gap> Append(GROUPS,[P270]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3075");
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, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P271 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3075"]);
gap> Append(GROUPS,[P271]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3076");
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, 1, -1, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 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, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 72 )
gap> P272 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3076"]);
gap> Append(GROUPS,[P272]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3077");
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, -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, 0, 1, 0, 0 ],
[ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P273 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3077"]);
gap> Append(GROUPS,[P273]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3078");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
1, 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 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P274 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3078"]);
gap> Append(GROUPS,[P274]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3079");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, -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, -1, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P275 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3079"]);
gap> Append(GROUPS,[P275]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3080");
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 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P276 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3080"]);
gap> Append(GROUPS,[P276]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3081");
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 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 72 )
gap> P277 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3081"]);
gap> Append(GROUPS,[P277]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3082");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, -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, -1, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P278 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3082"]);
gap> Append(GROUPS,[P278]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(6)^2/group.3083");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 72 )
gap> P279 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(6)^2/words.group.3083"]);
gap> Append(GROUPS,[P279]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(6)^2/group.3084");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 72 )
gap> P280 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(6)^2/words.group.3084"]);
gap> Append(GROUPS,[P280]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(6)^2/group.3085");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P281 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(6)^2/words.group.3085"]);
gap> Append(GROUPS,[P281]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(6)^2/group.3086");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 72 )
gap> P282 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(6)^2/words.group.3086"]);
gap> Append(GROUPS,[P282]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(6)^2/group.3087");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P283 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^4(6)^2/words.group.3087"]);
gap> Append(GROUPS,[P283]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^1(6)^2/group.3088");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 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, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P284 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^1(6)^2/words.group.3088"]);
gap> Append(GROUPS,[P284]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^1(6)^2/group.3089");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 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, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P285 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^1(6)^2/words.group.3089"]);
gap> Append(GROUPS,[P285]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^1(6)^2/group.3090");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 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, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 72 )
gap> P286 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^1(6)^2/words.group.3090"]);
gap> Append(GROUPS,[P286]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^1(6)^2/group.3091");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 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, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P287 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^1(6)^2/words.group.3091"]);
gap> Append(GROUPS,[P287]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^1(6)^2/group.3092");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 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, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P288 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^1(6)^2/words.group.3092"]);
gap> Append(GROUPS,[P288]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^1(6)^2/group.3093");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 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, 1, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 72 )
gap> P289 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^1(6)^2/words.group.3093"]);
gap> Append(GROUPS,[P289]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^1(6)^2/group.3094");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 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, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 72 )
gap> P290 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^1(6)^2/words.group.3094"]);
gap> Append(GROUPS,[P290]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^1(6)^2/group.3095");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 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, -1, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 72 )
gap> P291 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^1(6)^2/words.group.3095"]);
gap> Append(GROUPS,[P291]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^1(6)^2/group.3096");
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, -1, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 72 )
gap> P292 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^1(6)^2/words.group.3096"]);
gap> Append(GROUPS,[P292]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^1(6)^2/group.3097");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 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 := 72 )
gap> P293 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^1(6)^2/words.group.3097"]);
gap> Append(GROUPS,[P293]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^1(6)^2/group.3098");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 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, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 72 )
gap> P294 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^1(6)^2/words.group.3098"]);
gap> Append(GROUPS,[P294]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^1(6)^2/group.3099");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 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, -1, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 72 )
gap> P295 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^1(6)^2/words.group.3099"]);
gap> Append(GROUPS,[P295]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^1(6)^2/group.3100");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 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, -1, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 72 )
gap> P296 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^1(6)^2/words.group.3100"]);
gap> Append(GROUPS,[P296]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^1(6)^2/group.3101");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 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, 1, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P297 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^1(6)^2/words.group.3101"]);
gap> Append(GROUPS,[P297]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^1(6)^2/group.3102");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 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, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P298 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^1(6)^2/words.group.3102"]);
gap> Append(GROUPS,[P298]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^1(6)^2/group.3103");
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, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P299 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^1(6)^2/words.group.3103"]);
gap> Append(GROUPS,[P299]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^1(6)^2/group.3104");
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, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P300 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^1(6)^2/words.group.3104"]);
gap> Append(GROUPS,[P300]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3105");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 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, -1, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 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, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P301 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3105"]);
gap> Append(GROUPS,[P301]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3106");
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 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 72 )
gap> P302 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3106"]);
gap> Append(GROUPS,[P302]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3107");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 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, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 72 )
gap> P303 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3107"]);
gap> Append(GROUPS,[P303]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3108");
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, -1, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 72 )
gap> P304 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3108"]);
gap> Append(GROUPS,[P304]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3109");
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 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 72 )
gap> P305 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3109"]);
gap> Append(GROUPS,[P305]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3110");
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 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P306 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3110"]);
gap> Append(GROUPS,[P306]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3111");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, 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, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 72 )
gap> P307 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3111"]);
gap> Append(GROUPS,[P307]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3112");
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, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P308 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3112"]);
gap> Append(GROUPS,[P308]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3113");
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, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P309 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3113"]);
gap> Append(GROUPS,[P309]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3114");
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, -1, 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, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P310 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3114"]);
gap> Append(GROUPS,[P310]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3115");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 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, -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 := 72 )
gap> P311 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3115"]);
gap> Append(GROUPS,[P311]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3116");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 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, -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 := 72 )
gap> P312 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3116"]);
gap> Append(GROUPS,[P312]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3117");
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 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 72 )
gap> P313 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3117"]);
gap> Append(GROUPS,[P313]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3118");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 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, -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 := 72 )
gap> P314 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3118"]);
gap> Append(GROUPS,[P314]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3119");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 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, -1, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 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, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P315 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3119"]);
gap> Append(GROUPS,[P315]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3120");
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, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 72 )
gap> P316 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3120"]);
gap> Append(GROUPS,[P316]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3121");
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, 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, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P317 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3121"]);
gap> Append(GROUPS,[P317]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3122");
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, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P318 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3122"]);
gap> Append(GROUPS,[P318]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3123");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, 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, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 72 )
gap> P319 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3123"]);
gap> Append(GROUPS,[P319]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3124");
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, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P320 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3124"]);
gap> Append(GROUPS,[P320]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3125");
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, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 72 )
gap> P321 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3125"]);
gap> Append(GROUPS,[P321]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3126");
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 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 72 )
gap> P322 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3126"]);
gap> Append(GROUPS,[P322]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3127");
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 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 72 )
gap> P323 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3127"]);
gap> Append(GROUPS,[P323]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3128");
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, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 72 )
gap> P324 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3128"]);
gap> Append(GROUPS,[P324]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3129");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, -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, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 72 )
gap> P325 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3129"]);
gap> Append(GROUPS,[P325]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3130");
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, 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, 0, 1, 0, 0 ],
[ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 72 )
gap> P326 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3130"]);
gap> Append(GROUPS,[P326]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3131");
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 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P327 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3131"]);
gap> Append(GROUPS,[P327]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3132");
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 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 72 )
gap> P328 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3132"]);
gap> Append(GROUPS,[P328]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3133");
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 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 72 )
gap> P329 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3133"]);
gap> Append(GROUPS,[P329]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3134");
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 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P330 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3134"]);
gap> Append(GROUPS,[P330]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3135");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1,
1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 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, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P331 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3135"]);
gap> Append(GROUPS,[P331]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3136");
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 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 72 )
gap> P332 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3136"]);
gap> Append(GROUPS,[P332]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3137");
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, -1, 1, 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, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P333 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3137"]);
gap> Append(GROUPS,[P333]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3138");
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 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, -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 := 72 )
gap> P334 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3138"]);
gap> Append(GROUPS,[P334]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3139");
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 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P335 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3139"]);
gap> Append(GROUPS,[P335]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3140");
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, -1, 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 := 72 )
gap> P336 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3140"]);
gap> Append(GROUPS,[P336]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3141");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, -1, 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 := 72 )
gap> P337 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3141"]);
gap> Append(GROUPS,[P337]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3142");
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 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P338 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3142"]);
gap> Append(GROUPS,[P338]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3143");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
1, 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, -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, -1, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P339 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3143"]);
gap> Append(GROUPS,[P339]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3144");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 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, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 72 )
gap> P340 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3144"]);
gap> Append(GROUPS,[P340]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3145");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 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, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P341 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3145"]);
gap> Append(GROUPS,[P341]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3146");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 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, -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 := 72 )
gap> P342 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3146"]);
gap> Append(GROUPS,[P342]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3147");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0,
1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, -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 := 72 )
gap> P343 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3147"]);
gap> Append(GROUPS,[P343]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^6(3)^2(6)^2/group.3148");
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 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 72 )
gap> P344 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^6(3)^2(6)^2/words.group.3148"]);
gap> Append(GROUPS,[P344]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^6(3)^2(6)^2/group.3149");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
1, 0, 0 ], [ 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, -1, 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, -1, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P345 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^6(3)^2(6)^2/words.group.3149"]);
gap> Append(GROUPS,[P345]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^6(3)^2(6)^2/group.3150");
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, 0, 1, 0, 0 ],
[ 0, 0, -1, 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 := 72 )
gap> P346 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^6(3)^2(6)^2/words.group.3150"]);
gap> Append(GROUPS,[P346]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^6(3)^2(6)^2/group.3151");
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, 0, 1, 0, 0 ],
[ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 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, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P347 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^6(3)^2(6)^2/words.group.3151"]);
gap> Append(GROUPS,[P347]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^6(3)^2(6)^2/group.3152");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1,
1, 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 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P348 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^6(3)^2(6)^2/words.group.3152"]);
gap> Append(GROUPS,[P348]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^6(3)^2(6)^2/group.3153");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
1, 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 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P349 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^6(3)^2(6)^2/words.group.3153"]);
gap> Append(GROUPS,[P349]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^6(3)^2(6)^2/group.3154");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, -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 := 72 )
gap> P350 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^6(3)^2(6)^2/words.group.3154"]);
gap> Append(GROUPS,[P350]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^6(3)^2(6)^2/group.3155");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 72 )
gap> P351 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^6(3)^2(6)^2/words.group.3155"]);
gap> Append(GROUPS,[P351]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^6(3)^2(6)^2/group.3156");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 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 ] ]
, [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P352 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^6(3)^2(6)^2/words.group.3156"]);
gap> Append(GROUPS,[P352]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^6(3)^2(6)^2/group.3157");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1,
1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 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, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P353 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^6(3)^2(6)^2/words.group.3157"]);
gap> Append(GROUPS,[P353]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^6(3)^2(6)^2/group.3158");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, 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, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P354 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^6(3)^2(6)^2/words.group.3158"]);
gap> Append(GROUPS,[P354]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^6(3)^2(6)^2/group.3159");
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 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P355 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^6(3)^2(6)^2/words.group.3159"]);
gap> Append(GROUPS,[P355]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^6(3)^2(6)^2/group.3160");
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, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ],
[ 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 := 72 )
gap> P356 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^6(3)^2(6)^2/words.group.3160"]);
gap> Append(GROUPS,[P356]);
gap> R := CaratReadBravaisFile("ordnung.72/(1)^6(3)^2(6)^2/group.3161");
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, 0, -1, 0, 0 ],
[ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 72 )
gap> P357 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.72/(1)^6(3)^2(6)^2/words.group.3161"]);
gap> Append(GROUPS,[P357]);
gap> R := CaratReadBravaisFile("ordnung.96/(2)^6(6)^4/group.3162");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 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 5 generators>
gap> Append(names,["ordnung.96/(2)^6(6)^4/words.group.3162"]);
gap> Append(GROUPS,[P358]);
gap> Print(GROUPS,"\n");
[ Group(
[ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [
0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -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 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
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"ordnung.576/(1)^6(3)^2(6)^2/words.group.3019",
"ordnung.6/(6)^6/words.min.413",
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"ordnung.72/(1)^6(3)^2(6)^2/words.group.3148",
"ordnung.72/(1)^6(3)^2(6)^2/words.group.3149",
"ordnung.72/(1)^6(3)^2(6)^2/words.group.3150",
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"ordnung.72/(1)^6(3)^2(6)^2/words.group.3152",
"ordnung.72/(1)^6(3)^2(6)^2/words.group.3153",
"ordnung.72/(1)^6(3)^2(6)^2/words.group.3154",
"ordnung.72/(1)^6(3)^2(6)^2/words.group.3155",
"ordnung.72/(1)^6(3)^2(6)^2/words.group.3156",
"ordnung.72/(1)^6(3)^2(6)^2/words.group.3157",
"ordnung.72/(1)^6(3)^2(6)^2/words.group.3158",
"ordnung.72/(1)^6(3)^2(6)^2/words.group.3159",
"ordnung.72/(1)^6(3)^2(6)^2/words.group.3160",
"ordnung.72/(1)^6(3)^2(6)^2/words.group.3161",
"ordnung.96/(2)^6(6)^4/words.group.3162" ]
gap> Size(GROUPS);
358
gap> Size(names);
358
gap> Read("../../TGROUPS.GAP");
gap> for i in [1..Size(GROUPS)] do
> SubgroupWords(GROUPS[i], names[i]);
> od;
[ x2^3, x2^4 ]
[ x1, x2^4 ]
[ x1*x2^3, x2^4 ]
[ x2^3, x1 ]
[ x2^3, x2^2 ]
[ x1, x2^2 ]
[ x1*x2^3, x2^2 ]
[ x2^3, x1 ]
[ x2^3, x2^2 ]
[ x1, x2^2 ]
[ x1*x2^3, x2^2 ]
[ x2^3, x1 ]
[ x2^3, x2^4 ]
[ x1, x2^4 ]
[ x1*x2^3, x2^4 ]
[ x2^3, x1 ]
[ x1*x2^3, x2^2 ]
[ x1, x2^2 ]
[ x2^3, x2^2 ]
[ x1*x2^3, x1 ]
[ x2^3, x2^4 ]
[ x1, x2^4 ]
[ x1*x2^3, x2^4 ]
[ x2^3, x1 ]
[ x2^3, x2^2 ]
[ x1, x2^2 ]
[ x1*x2^3, x2^2 ]
[ x2^3, x1 ]
[ x2^3, x2^2 ]
[ x2^2*x1, x2^2 ]
[ x1*x2, x2^2 ]
[ x2^3, x2^2*x1 ]
[ x2^3, x2^2 ]
[ x1, x2^2 ]
[ x1*x2^3, x2^2 ]
[ x2^3, x1 ]
[ x1*x2^3, x2^2 ]
[ x1, x2^2 ]
[ x2^3, x2^2 ]
[ x1*x2^3, x1 ]
[ x2^3, x2^4 ]
[ x1, x2^4 ]
[ x1*x2^3, x2^4 ]
[ x2^3, x1 ]
[ x1*x4^3, x2*x3^3*x4^2, x1, x3^4, x4^2 ]
[ x1*x4^3, x2*x3^3*x4^2, x2, x3^4, x4^2 ]
[ x1*x4^3, x2*x3^3*x4^2, x1*x2, x3^4, x4^2 ]
[ x1*x4^3, x1, x2, x3^4, x4^2 ]
[ x1*x4^3, x3^3*x4^2, x1, x3^4, x4^2 ]
[ x1*x4^3, x1*x2*x3^3*x4^2, x2, x3^4, x4^2 ]
[ x1*x4^3, x3^3*x4^2, x1*x2, x3^4, x4^2 ]
[ x2*x3^3*x4^2, x1, x2, x3^4, x4^2 ]
[ x1*x2*x4^3, x2*x3^3*x4^2, x1, x3^4, x4^2 ]
[ x4^3, x2*x3^3*x4^2, x2, x3^4, x4^2 ]
[ x1*x2*x4^3, x2*x3^3*x4^2, x1*x2, x3^4, x4^2 ]
[ x1*x2*x3^2*x4*x3, x1, x2, x3^4, x4^2 ]
[ x1*x2*x4^3, x3^3*x4^2, x1, x3^4, x4^2 ]
[ x4^3, x1*x2*x3^3*x4^2, x2, x3^4, x4^2 ]
[ x1*x2*x4^3, x3^3*x4^2, x1*x2, x3^4, x4^2 ]
[ x1*x4^3, x2*x3^3*x4^2, x1, x2, x4^2 ]
[ x1*x4^3, x2*x3^3*x4^2, x1, x2, x3^4 ]
[ x4^3, x3, x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x4^3, x3, x4*x1*x4^5, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x4^3, x3, x2*x4*x1*x4^5, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x4^3, x2, x4*x1*x4^5, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x4^3, x3*x4*x1*x4^5, x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x4^3, x2*x3, x4*x1*x4^5, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x4^3, x3*x4*x1*x4^5, x2*x4*x1*x4^5, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x3, x2, x4*x1*x4^5, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x4*x1*x4^2, x3, x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x2*x4^3, x3, x4*x1*x4^5, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x4*x1*x4^2, x3, x2*x4*x1*x4^5, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x3*x4^3, x2, x4*x1*x4^5, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x4*x1*x4^2, x3*x4*x1*x4^5, x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x2*x4^3, x2*x3, x4*x1*x4^5, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x4*x1*x4^2, x3*x4*x1*x4^5, x2*x4*x1*x4^5, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x4^3, x3, x2, x4*x1*x4^5, x1*x4^2*x1*x4^4 ]
[ x4^3, x3, x2, x4*x1*x4^5, x1*x4^2*x1*x4^2 ]
[ x4^3, x1*x2*x3^2*x4^2*x3, x3^2*x1, x3^2*x4^2, x1*x3^2*x1 ]
[ x4^3, x1*x2*x3^2*x4^2*x3, x2*x3^2*x1, x3^2*x4^2, x1*x3^2*x1 ]
[ x4^3, x1*x2*x3^2*x4^2*x3, x2, x3^2*x4^2, x1*x3^2*x1 ]
[ x4^3, x3^2*x1, x2*x3^2*x1, x3^2*x4^2, x1*x3^2*x1 ]
[ x4^3, x1*x3^2*x1*x4^2*x3, x3^2*x1, x3^2*x4^2, x1*x3^2*x1 ]
[ x4^3, x1*x2*x3^2*x1*x4^2*x3, x2*x3^2*x1, x3^2*x4^2, x1*x3^2*x1 ]
[ x4^3, x1*x3^2*x1*x4^2*x3, x2, x3^2*x4^2, x1*x3^2*x1 ]
[ x1*x2*x3^2*x4^2*x3, x3^2*x1, x2*x3^2*x1, x3^2*x4^2, x1*x3^2*x1 ]
[ x2*x3^2*x1*x4^3, x1*x2*x3^2*x4^2*x3, x3^2*x1, x3^2*x4^2, x1*x3^2*x1 ]
[ x3^2*x1*x4^3, x1*x2*x3^2*x4^2*x3, x2*x3^2*x1, x3^2*x4^2, x1*x3^2*x1 ]
[ x2*x3^2*x1*x4^3, x1*x2*x3^2*x4^2*x3, x2, x3^2*x4^2, x1*x3^2*x1 ]
[ x2*x3*x1*x4, x3^2*x1, x2*x3^2*x1, x3^2*x4^2, x1*x3^2*x1 ]
[ x2*x3^2*x1*x4^3, x1*x3^2*x1*x4^2*x3, x3^2*x1, x3^2*x4^2, x1*x3^2*x1 ]
[ x3^2*x1*x4^3, x1*x2*x3^2*x1*x4^2*x3, x2*x3^2*x1, x3^2*x4^2, x1*x3^2*x1 ]
[ x2*x3^2*x1*x4^3, x1*x3^2*x1*x4^2*x3, x2, x3^2*x4^2, x1*x3^2*x1 ]
[ x4^3, x1*x2*x3^2*x4^2*x3, x3^2*x1, x2*x3^2*x1, x3^2*x4^2 ]
[ x4^3, x1*x2*x3^2*x4^2*x3, x3^2*x1, x2*x3^2*x1, x1*x3^2*x1 ]
[ x1*x3^5*x4^3, x1, x2, x4^4, x3^2 ]
[ x1*x3^5*x4^3, x1, x1*x3^3, x4^4, x3^2 ]
[ x1*x3^5*x4^3, x1, x1*x2*x3^3, x4^4, x3^2 ]
[ x1*x3^5*x4^3, x2, x1*x3^3, x4^4, x3^2 ]
[ x1*x3^5*x4^3, x3^3, x2, x4^4, x3^2 ]
[ x1*x3^5*x4^3, x1*x2, x1*x3^3, x4^4, x3^2 ]
[ x1*x3^5*x4^3, x3^3, x1*x2*x3^3, x4^4, x3^2 ]
[ x1, x2, x1*x3^3, x4^4, x3^2 ]
[ x3^2*x4^3, x1, x2, x4^4, x3^2 ]
[ x1*x2*x3^5*x4^3, x1, x1*x3^3, x4^4, x3^2 ]
[ x3^2*x4^3, x1, x1*x2*x3^3, x4^4, x3^2 ]
[ x3^5*x4^3, x2, x1*x3^3, x4^4, x3^2 ]
[ x3^2*x4^3, x3^3, x2, x4^4, x3^2 ]
[ x1*x2*x3^5*x4^3, x1*x2, x1*x3^3, x4^4, x3^2 ]
[ x3^2*x4^3, x3^3, x1*x2*x3^3, x4^4, x3^2 ]
[ x1*x3^5*x4^3, x1, x2, x1*x3^3, x3^2 ]
[ x1*x3^5*x4^3, x1, x2, x1*x3^3, x4^4 ]
[ x4^3, x3^3*x4^2, x1, x4^2, x3^2 ]
[ x4^3, x3^3*x4^2, x1*x2*x3^2, x4^2, x3^2 ]
[ x4^3, x3^3*x4^2, x2*x3^2, x4^2, x3^2 ]
[ x4^3, x1, x1*x2*x3^2, x4^2, x3^2 ]
[ x4^3, x1*x3*x2*x4^2, x1, x4^2, x3^2 ]
[ x4^3, x1*x3^3*x4^2, x1*x2*x3^2, x4^2, x3^2 ]
[ x4^3, x1*x3*x2*x4^2, x2*x3^2, x4^2, x3^2 ]
[ x3^3*x4^2, x1, x1*x2*x3^2, x4^2, x3^2 ]
[ x1*x2*x3^2*x4^3, x3^3*x4^2, x1, x4^2, x3^2 ]
[ x1*x4^3, x3^3*x4^2, x1*x2*x3^2, x4^2, x3^2 ]
[ x1*x2*x3^2*x4^3, x3^3*x4^2, x2*x3^2, x4^2, x3^2 ]
[ x3^2*x4*x3, x1, x1*x2*x3^2, x4^2, x3^2 ]
[ x1*x2*x3^2*x4^3, x1*x3*x2*x4^2, x1, x4^2, x3^2 ]
[ x1*x4^3, x1*x3^3*x4^2, x1*x2*x3^2, x4^2, x3^2 ]
[ x1*x2*x3^2*x4^3, x1*x3*x2*x4^2, x2*x3^2, x4^2, x3^2 ]
[ x4^3, x3^3*x4^2, x1, x1*x2*x3^2, x4^2 ]
[ x4^3, x3^3*x4^2, x1, x1*x2*x3^2, x3^2 ]
[ x1*x3^4*x4^3, x1*x2, x1, x3^2, x4^2 ]
[ x1*x3^4*x4^3, x1*x2, x1*x2*x3^2*x4^2*x3, x3^2, x4^2 ]
[ x1*x3^4*x4^3, x1*x2, x2*x3^2*x4^2*x3, x3^2, x4^2 ]
[ x1*x3^4*x4^3, x1, x1*x2*x3^2*x4^2*x3, x3^2, x4^2 ]
[ x1*x3^4*x4^3, x3^2*x4^2*x3, x1, x3^2, x4^2 ]
[ x1*x3^4*x4^3, x2, x1*x2*x3^2*x4^2*x3, x3^2, x4^2 ]
[ x1*x3^4*x4^3, x3^2*x4^2*x3, x2*x3^2*x4^2*x3, x3^2, x4^2 ]
[ x1*x2, x1, x1*x2*x3^2*x4^2*x3, x3^2, x4^2 ]
[ x2*x3*x4, x1*x2, x1, x3^2, x4^2 ]
[ x3^4*x4^3, x1*x2, x1*x2*x3^2*x4^2*x3, x3^2, x4^2 ]
[ x2*x3*x4, x1*x2, x2*x3^2*x4^2*x3, x3^2, x4^2 ]
[ x2*x3^4*x4^3, x1, x1*x2*x3^2*x4^2*x3, x3^2, x4^2 ]
[ x2*x3*x4, x3^2*x4^2*x3, x1, x3^2, x4^2 ]
[ x3^4*x4^3, x2, x1*x2*x3^2*x4^2*x3, x3^2, x4^2 ]
[ x2*x3*x4, x3^2*x4^2*x3, x2*x3^2*x4^2*x3, x3^2, x4^2 ]
[ x1*x3^4*x4^3, x1*x2, x1, x1*x2*x3^2*x4^2*x3, x4^2 ]
[ x1*x3^4*x4^3, x1*x2, x1, x1*x2*x3^2*x4^2*x3, x3^2 ]
[ x1*x4^3, x2*x3^3*x4^2, x1, x4^2, x3^2 ]
[ x1*x4^3, x2*x3^3*x4^2, x2, x4^2, x3^2 ]
[ x1*x4^3, x2*x3^3*x4^2, x1*x2, x4^2, x3^2 ]
[ x1*x4^3, x1, x2, x4^2, x3^2 ]
[ x1*x4^3, x3^3*x4^2, x1, x4^2, x3^2 ]
[ x1*x4^3, x1*x2*x3^3*x4^2, x2, x4^2, x3^2 ]
[ x1*x4^3, x3^3*x4^2, x1*x2, x4^2, x3^2 ]
[ x2*x3^3*x4^2, x1, x2, x4^2, x3^2 ]
[ x1*x2*x4^3, x2*x3^3*x4^2, x1, x4^2, x3^2 ]
[ x4^3, x2*x3^3*x4^2, x2, x4^2, x3^2 ]
[ x1*x2*x4^3, x2*x3^3*x4^2, x1*x2, x4^2, x3^2 ]
[ x1*x2*x3^2*x4*x3, x1, x2, x4^2, x3^2 ]
[ x1*x2*x4^3, x3^3*x4^2, x1, x4^2, x3^2 ]
[ x4^3, x1*x2*x3^3*x4^2, x2, x4^2, x3^2 ]
[ x1*x2*x4^3, x3^3*x4^2, x1*x2, x4^2, x3^2 ]
[ x1*x4^3, x2*x3^3*x4^2, x1, x2, x3^2 ]
[ x1*x4^3, x2*x3^3*x4^2, x1, x2, x4^2 ]
[ x4^3, x1*x3^3, x2, x4^2, x3^2 ]
[ x4^3, x1*x3^3, x1, x4^2, x3^2 ]
[ x4^3, x1*x3^3, x1*x2, x4^2, x3^2 ]
[ x4^3, x2, x1, x4^2, x3^2 ]
[ x4^3, x3^3, x2, x4^2, x3^2 ]
[ x4^3, x1*x2*x3^3, x1, x4^2, x3^2 ]
[ x4^3, x3^3, x1*x2, x4^2, x3^2 ]
[ x1*x3^3, x2, x1, x4^2, x3^2 ]
[ x1*x4^3, x1*x3^3, x2, x4^2, x3^2 ]
[ x2*x4^3, x1*x3^3, x1, x4^2, x3^2 ]
[ x1*x4^3, x1*x3^3, x1*x2, x4^2, x3^2 ]
[ x1*x3^3*x4^3, x2, x1, x4^2, x3^2 ]
[ x1*x4^3, x3^3, x2, x4^2, x3^2 ]
[ x2*x4^3, x1*x2*x3^3, x1, x4^2, x3^2 ]
[ x1*x4^3, x3^3, x1*x2, x4^2, x3^2 ]
[ x4^3, x1*x3^3, x2, x1, x4^2 ]
[ x4^3, x1*x3^3, x2, x1, x3^2 ]
[ x4^3, x1*x3^3, x2, x1, x1*x3^2*x1*x4^2 ]
[ x4^3, x1*x3^3, x2, x1, x3^2*x4^2 ]
[ x4^3, x3^3, x2, x4^4, x3^2 ]
[ x4^3, x3^3, x1, x4^4, x3^2 ]
[ x4^3, x3^3, x1*x2, x4^4, x3^2 ]
[ x4^3, x2, x1, x4^4, x3^2 ]
[ x4^3, x1*x3^3, x2, x4^4, x3^2 ]
[ x4^3, x2*x3^3, x1, x4^4, x3^2 ]
[ x4^3, x1*x3^3, x1*x2, x4^4, x3^2 ]
[ x3^3, x2, x1, x4^4, x3^2 ]
[ x1*x4^3, x3^3, x2, x4^4, x3^2 ]
[ x2*x4^3, x3^3, x1, x4^4, x3^2 ]
[ x1*x4^3, x3^3, x1*x2, x4^4, x3^2 ]
[ x3^3*x4^3, x2, x1, x4^4, x3^2 ]
[ x1*x4^3, x1*x3^3, x2, x4^4, x3^2 ]
[ x2*x4^3, x2*x3^3, x1, x4^4, x3^2 ]
[ x1*x4^3, x1*x3^3, x1*x2, x4^4, x3^2 ]
[ x4^3, x3^3, x2, x1, x4^4 ]
[ x4^3, x3^3, x2, x1, x3^2 ]
[ x4^3, x3^3, x2, x1, x3^4*x4^4 ]
[ x4^3, x3^3, x2, x1, x3^2*x4^4 ]
[ x4^3, x3, x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x4^3, x3, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x4^3, x3, x1*x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x4^3, x2, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x4^3, x1*x3, x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x4^3, x2*x3, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x4^3, x1*x3, x1*x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x3, x2, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x1*x4^3, x3, x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x2*x4^3, x3, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x1*x4^3, x3, x1*x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x3*x4^3, x2, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x1*x4^3, x1*x3, x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x2*x4^3, x2*x3, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x1*x4^3, x1*x3, x1*x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x4^3, x3, x2, x1, x1*x4^2*x1*x4^4 ]
[ x4^3, x3, x2, x1, x1*x4^2*x1*x4^2 ]
[ x4^3, x3, x1*x2, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ]
[ x4^3, x3, x1, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ]
[ x4^3, x3, x2, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ]
[ x4^3, x1*x2, x1, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ]
[ x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ]
[ x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ]
[ x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ]
[ x3, x1*x2, x1, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ]
[ x1*x4^3, x3, x1*x2, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ]
[ x1*x2*x4^3, x3, x1, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ]
[ x1*x4^3, x3, x2, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ]
[ x3*x4^3, x1*x2, x1, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ]
[ x1*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ]
[ x1*x2*x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ]
[ x1*x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ]
[ x4^3, x3, x1*x2, x1, x1*x4^2*x1*x4^4 ]
[ x4^3, x3, x1*x2, x1, x1*x4*x1*x4 ]
[ x4^3, x1*x3^3*x4^2, x1, x3^4, x4^2 ]
[ x4^3, x1*x3^3*x4^2, x2, x3^4, x4^2 ]
[ x4^3, x1*x3^3*x4^2, x1*x2, x3^4, x4^2 ]
[ x4^3, x1, x2, x3^4, x4^2 ]
[ x4^3, x1*x2*x3^3*x4^2, x1, x3^4, x4^2 ]
[ x4^3, x3^3*x4^2, x2, x3^4, x4^2 ]
[ x4^3, x1*x2*x3^3*x4^2, x1*x2, x3^4, x4^2 ]
[ x1*x3^3*x4^2, x1, x2, x3^4, x4^2 ]
[ x2*x4^3, x1*x3^3*x4^2, x1, x3^4, x4^2 ]
[ x1*x4^3, x1*x3^3*x4^2, x2, x3^4, x4^2 ]
[ x2*x4^3, x1*x3^3*x4^2, x1*x2, x3^4, x4^2 ]
[ x1*x3^2*x4*x3, x1, x2, x3^4, x4^2 ]
[ x2*x4^3, x1*x2*x3^3*x4^2, x1, x3^4, x4^2 ]
[ x1*x4^3, x3^3*x4^2, x2, x3^4, x4^2 ]
[ x2*x4^3, x1*x2*x3^3*x4^2, x1*x2, x3^4, x4^2 ]
[ x4^3, x1*x3^3*x4^2, x1, x2, x4^2 ]
[ x4^3, x1*x3^3*x4^2, x1, x2, x3^4 ]
[ x4^3, x1*x3^3*x4^2, x1, x3^4, x4^2 ]
[ x4^3, x1*x3^3*x4^2, x2, x3^4, x4^2 ]
[ x4^3, x1*x3^3*x4^2, x1*x2, x3^4, x4^2 ]
[ x4^3, x1, x2, x3^4, x4^2 ]
[ x4^3, x1*x2*x3^3*x4^2, x1, x3^4, x4^2 ]
[ x4^3, x3^3*x4^2, x2, x3^4, x4^2 ]
[ x4^3, x1*x2*x3^3*x4^2, x1*x2, x3^4, x4^2 ]
[ x1*x3^3*x4^2, x1, x2, x3^4, x4^2 ]
[ x2*x4^3, x1*x3^3*x4^2, x1, x3^4, x4^2 ]
[ x1*x4^3, x1*x3^3*x4^2, x2, x3^4, x4^2 ]
[ x2*x4^3, x1*x3^3*x4^2, x1*x2, x3^4, x4^2 ]
[ x1*x3^2*x4*x3, x1, x2, x3^4, x4^2 ]
[ x2*x4^3, x1*x2*x3^3*x4^2, x1, x3^4, x4^2 ]
[ x1*x4^3, x3^3*x4^2, x2, x3^4, x4^2 ]
[ x2*x4^3, x1*x2*x3^3*x4^2, x1*x2, x3^4, x4^2 ]
[ x4^3, x1*x3^3*x4^2, x1, x2, x4^2 ]
[ x4^3, x1*x3^3*x4^2, x1, x2, x3^4 ]
[ x4^3, x3, x1*x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x4^3, x3, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x4^3, x3, x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x4^3, x1*x2, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x4^3, x1*x3, x1*x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x4^3, x1*x2*x3, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x4^3, x1*x3, x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x3, x1*x2, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x1*x4^3, x3, x1*x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x1*x2*x4^3, x3, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x1*x4^3, x3, x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x3*x4^3, x1*x2, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x1*x4^3, x1*x3, x1*x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x1*x2*x4^3, x1*x2*x3, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x1*x4^3, x1*x3, x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x4^3, x3, x1*x2, x1, x1*x4^2*x1*x4^4 ]
[ x4^3, x3, x1*x2, x1, x1*x4^2*x1*x4^2 ]
[ x4^3, x1*x3^3*x4^2, x1, x3^4, x4^2 ]
[ x4^3, x1*x3^3*x4^2, x2, x3^4, x4^2 ]
[ x4^3, x1*x3^3*x4^2, x1*x2, x3^4, x4^2 ]
[ x4^3, x1, x2, x3^4, x4^2 ]
[ x4^3, x1*x2*x3^3*x4^2, x1, x3^4, x4^2 ]
[ x4^3, x3^3*x4^2, x2, x3^4, x4^2 ]
[ x4^3, x1*x2*x3^3*x4^2, x1*x2, x3^4, x4^2 ]
[ x1*x3^3*x4^2, x1, x2, x3^4, x4^2 ]
[ x2*x4^3, x1*x3^3*x4^2, x1, x3^4, x4^2 ]
[ x1*x4^3, x1*x3^3*x4^2, x2, x3^4, x4^2 ]
[ x2*x4^3, x1*x3^3*x4^2, x1*x2, x3^4, x4^2 ]
[ x1*x3^2*x4*x3, x1, x2, x3^4, x4^2 ]
[ x2*x4^3, x1*x2*x3^3*x4^2, x1, x3^4, x4^2 ]
[ x1*x4^3, x3^3*x4^2, x2, x3^4, x4^2 ]
[ x2*x4^3, x1*x2*x3^3*x4^2, x1*x2, x3^4, x4^2 ]
[ x4^3, x1*x3^3*x4^2, x1, x2, x4^2 ]
[ x4^3, x1*x3^3*x4^2, x1, x2, x3^4 ]
[ x2*x4*x1*x4*x1*x4, x3, x1*x2, x4^4, x1*x4*x1*x4^5 ]
[ x2*x4*x1*x4*x1*x4, x3, x1, x4^4, x1*x4*x1*x4^5 ]
[ x2*x4*x1*x4*x1*x4, x3, x2, x4^4, x1*x4*x1*x4^5 ]
[ x2*x4*x1*x4*x1*x4, x1*x2, x1, x4^4, x1*x4*x1*x4^5 ]
[ x2*x4*x1*x4*x1*x4, x1*x3, x1*x2, x4^4, x1*x4*x1*x4^5 ]
[ x2*x4*x1*x4*x1*x4, x1*x2*x3, x1, x4^4, x1*x4*x1*x4^5 ]
[ x2*x4*x1*x4*x1*x4, x1*x3, x2, x4^4, x1*x4*x1*x4^5 ]
[ x3, x1*x2, x1, x4^4, x1*x4*x1*x4^5 ]
[ x1*x2*x4*x1*x4*x1*x4, x3, x1*x2, x4^4, x1*x4*x1*x4^5 ]
[ x1*x4*x1*x4*x1*x4, x3, x1, x4^4, x1*x4*x1*x4^5 ]
[ x1*x2*x4*x1*x4*x1*x4, x3, x2, x4^4, x1*x4*x1*x4^5 ]
[ x2*x3*x4*x1*x4*x1*x4, x1*x2, x1, x4^4, x1*x4*x1*x4^5 ]
[ x1*x2*x4*x1*x4*x1*x4, x1*x3, x1*x2, x4^4, x1*x4*x1*x4^5 ]
[ x1*x4*x1*x4*x1*x4, x1*x2*x3, x1, x4^4, x1*x4*x1*x4^5 ]
[ x1*x2*x4*x1*x4*x1*x4, x1*x3, x2, x4^4, x1*x4*x1*x4^5 ]
[ x2*x4*x1*x4*x1*x4, x3, x1*x2, x1, x1*x4*x1*x4^5 ]
[ x2*x4*x1*x4*x1*x4, x3, x1*x2, x1, x4^4 ]
[ x4^3, x1*x3^2*x4^2*x3, x1, x3^4, x4^2 ]
[ x4^3, x1*x3^2*x4^2*x3, x2, x3^4, x4^2 ]
[ x4^3, x1*x3^2*x4^2*x3, x1*x2, x3^4, x4^2 ]
[ x4^3, x1, x2, x3^4, x4^2 ]
[ x4^3, x1*x2*x3^2*x4^2*x3, x1, x3^4, x4^2 ]
[ x4^3, x3^2*x4^2*x3, x2, x3^4, x4^2 ]
[ x4^3, x1*x2*x3^2*x4^2*x3, x1*x2, x3^4, x4^2 ]
[ x1*x3^2*x4^2*x3, x1, x2, x3^4, x4^2 ]
[ x2*x4^3, x1*x3^2*x4^2*x3, x1, x3^4, x4^2 ]
[ x1*x4^3, x1*x3^2*x4^2*x3, x2, x3^4, x4^2 ]
[ x2*x4^3, x1*x3^2*x4^2*x3, x1*x2, x3^4, x4^2 ]
[ x1*x3^3*x4, x1, x2, x3^4, x4^2 ]
[ x2*x4^3, x1*x2*x3^2*x4^2*x3, x1, x3^4, x4^2 ]
[ x1*x4^3, x3^2*x4^2*x3, x2, x3^4, x4^2 ]
[ x2*x4^3, x1*x2*x3^2*x4^2*x3, x1*x2, x3^4, x4^2 ]
[ x4^3, x1*x3^2*x4^2*x3, x1, x2, x4^2 ]
[ x4^3, x1*x3^2*x4^2*x3, x1, x2, x3^4 ]
[ x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ]
[ x4^3, x1*x3, x1, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ]
[ x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ]
[ x4^3, x2, x1, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ]
[ x4^3, x3, x2, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ]
[ x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ]
[ x4^3, x3, x1*x2, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ]
[ x1*x3, x2, x1, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ]
[ x1*x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ]
[ x2*x4^3, x1*x3, x1, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ]
[ x1*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ]
[ x1*x3*x4^3, x2, x1, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ]
[ x1*x4^3, x3, x2, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ]
[ x2*x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ]
[ x1*x4^3, x3, x1*x2, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ]
[ x4^3, x1*x3, x2, x1, x1*x4^2*x1*x4^4 ]
[ x4^3, x1*x3, x2, x1, x1*x4*x1*x4 ]
[ x4^3, x2*x3^2*x4^2*x3, x1, x3^4, x4^2 ]
[ x4^3, x2*x3^2*x4^2*x3, x2, x3^4, x4^2 ]
[ x4^3, x2*x3^2*x4^2*x3, x1*x2, x3^4, x4^2 ]
[ x4^3, x1, x2, x3^4, x4^2 ]
[ x4^3, x3^2*x4^2*x3, x1, x3^4, x4^2 ]
[ x4^3, x1*x2*x3^2*x4^2*x3, x2, x3^4, x4^2 ]
[ x4^3, x3^2*x4^2*x3, x1*x2, x3^4, x4^2 ]
[ x2*x3^2*x4^2*x3, x1, x2, x3^4, x4^2 ]
[ x2*x4^3, x2*x3^2*x4^2*x3, x1, x3^4, x4^2 ]
[ x1*x4^3, x2*x3^2*x4^2*x3, x2, x3^4, x4^2 ]
[ x2*x4^3, x2*x3^2*x4^2*x3, x1*x2, x3^4, x4^2 ]
[ x2*x3^3*x4, x1, x2, x3^4, x4^2 ]
[ x2*x4^3, x3^2*x4^2*x3, x1, x3^4, x4^2 ]
[ x1*x4^3, x1*x2*x3^2*x4^2*x3, x2, x3^4, x4^2 ]
[ x2*x4^3, x3^2*x4^2*x3, x1*x2, x3^4, x4^2 ]
[ x4^3, x2*x3^2*x4^2*x3, x1, x2, x4^2 ]
[ x4^3, x2*x3^2*x4^2*x3, x1, x2, x3^4 ]
[ x4^3, x3, x1*x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x4^3, x3, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x4^3, x3, x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x4^3, x1*x2, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x4^3, x1*x3, x1*x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x4^3, x1*x2*x3, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x4^3, x1*x3, x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x3, x1*x2, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x1*x4^3, x3, x1*x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x1*x2*x4^3, x3, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x1*x4^3, x3, x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x3*x4^3, x1*x2, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x1*x4^3, x1*x3, x1*x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x1*x2*x4^3, x1*x2*x3, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x1*x4^3, x1*x3, x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x4^3, x3, x1*x2, x1, x1*x4^2*x1*x4^4 ]
[ x4^3, x3, x1*x2, x1, x1*x4^2*x1*x4^2 ]
[ x4^3, x3, x1*x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x4^3, x3, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x4^3, x3, x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x4^3, x1*x2, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x4^3, x1*x3, x1*x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x4^3, x1*x2*x3, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x4^3, x1*x3, x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x3, x1*x2, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x1*x4^3, x3, x1*x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x1*x2*x4^3, x3, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x1*x4^3, x3, x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x3*x4^3, x1*x2, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x1*x4^3, x1*x3, x1*x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x1*x2*x4^3, x1*x2*x3, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x1*x4^3, x1*x3, x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ]
[ x4^3, x3, x1*x2, x1, x1*x4^2*x1*x4^4 ]
[ x4^3, x3, x1*x2, x1, x1*x4^2*x1*x4^2 ]
[ x3^3*x4^3, x3^3, x1, x4^2, x3^2 ]
[ x3^3*x4^3, x3^3, x1*x2*x3^2, x4^2, x3^2 ]
[ x3^3*x4^3, x3^3, x2*x3^2, x4^2, x3^2 ]
[ x3^3*x4^3, x1, x1*x2*x3^2, x4^2, x3^2 ]
[ x3^3*x4^3, x1*x3*x2, x1, x4^2, x3^2 ]
[ x3^3*x4^3, x1*x3^3, x1*x2*x3^2, x4^2, x3^2 ]
[ x3^3*x4^3, x1*x3*x2, x2*x3^2, x4^2, x3^2 ]
[ x3^3, x1, x1*x2*x3^2, x4^2, x3^2 ]
[ x1*x3*x2*x4^3, x3^3, x1, x4^2, x3^2 ]
[ x1*x3^3*x4^3, x3^3, x1*x2*x3^2, x4^2, x3^2 ]
[ x1*x3*x2*x4^3, x3^3, x2*x3^2, x4^2, x3^2 ]
[ x4^3, x1, x1*x2*x3^2, x4^2, x3^2 ]
[ x1*x3*x2*x4^3, x1*x3*x2, x1, x4^2, x3^2 ]
[ x1*x3^3*x4^3, x1*x3^3, x1*x2*x3^2, x4^2, x3^2 ]
[ x1*x3*x2*x4^3, x1*x3*x2, x2*x3^2, x4^2, x3^2 ]
[ x3^3*x4^3, x3^3, x1, x1*x2*x3^2, x4^2 ]
[ x3^3*x4^3, x3^3, x1, x1*x2*x3^2, x3^2 ]
[ x2*x3^4*x4^3, x2, x1, x3^2, x4^2 ]
[ x2*x3^4*x4^3, x2, x1*x3^3, x3^2, x4^2 ]
[ x2*x3^4*x4^3, x2, x3^3, x3^2, x4^2 ]
[ x2*x3^4*x4^3, x1, x1*x3^3, x3^2, x4^2 ]
[ x2*x3^4*x4^3, x1*x2*x3^3, x1, x3^2, x4^2 ]
[ x2*x3^4*x4^3, x1*x2, x1*x3^3, x3^2, x4^2 ]
[ x2*x3^4*x4^3, x1*x2*x3^3, x3^3, x3^2, x4^2 ]
[ x2, x1, x1*x3^3, x3^2, x4^2 ]
[ x1*x2*x3*x4^3, x2, x1, x3^2, x4^2 ]
[ x1*x2*x3^4*x4^3, x2, x1*x3^3, x3^2, x4^2 ]
[ x1*x2*x3*x4^3, x2, x3^3, x3^2, x4^2 ]
[ x3^4*x4^3, x1, x1*x3^3, x3^2, x4^2 ]
[ x1*x2*x3*x4^3, x1*x2*x3^3, x1, x3^2, x4^2 ]
[ x1*x2*x3^4*x4^3, x1*x2, x1*x3^3, x3^2, x4^2 ]
[ x1*x2*x3*x4^3, x1*x2*x3^3, x3^3, x3^2, x4^2 ]
[ x2*x3^4*x4^3, x2, x1, x1*x3^3, x4^2 ]
[ x2*x3^4*x4^3, x2, x1, x1*x3^3, x3^2 ]
[ x3^3*x4^3, x3^3, x1*x3^2, x4^2, x3^2 ]
[ x3^3*x4^3, x3^3, x1*x2*x3^2, x4^2, x3^2 ]
[ x3^3*x4^3, x3^3, x2, x4^2, x3^2 ]
[ x3^3*x4^3, x1*x3^2, x1*x2*x3^2, x4^2, x3^2 ]
[ x3^3*x4^3, x2*x3*x1, x1*x3^2, x4^2, x3^2 ]
[ x3^3*x4^3, x3*x1, x1*x2*x3^2, x4^2, x3^2 ]
[ x3^3*x4^3, x2*x3*x1, x2, x4^2, x3^2 ]
[ x3^3, x1*x3^2, x1*x2*x3^2, x4^2, x3^2 ]
[ x2*x3*x1*x4^3, x3^3, x1*x3^2, x4^2, x3^2 ]
[ x3*x1*x4^3, x3^3, x1*x2*x3^2, x4^2, x3^2 ]
[ x2*x3*x1*x4^3, x3^3, x2, x4^2, x3^2 ]
[ x4^3, x1*x3^2, x1*x2*x3^2, x4^2, x3^2 ]
[ x2*x3*x1*x4^3, x2*x3*x1, x1*x3^2, x4^2, x3^2 ]
[ x3*x1*x4^3, x3*x1, x1*x2*x3^2, x4^2, x3^2 ]
[ x2*x3*x1*x4^3, x2*x3*x1, x2, x4^2, x3^2 ]
[ x3^3*x4^3, x3^3, x1*x3^2, x1*x2*x3^2, x4^2 ]
[ x3^3*x4^3, x3^3, x1*x3^2, x1*x2*x3^2, x3^2 ]
[ x1*x2*x3*x4^3, x2*x3, x1, x2*x4*x2*x4, x3*x4*x3*x4 ]
[ x1*x2*x3*x4^3, x2*x3, x2, x2*x4*x2*x4, x3*x4*x3*x4 ]
[ x1*x2*x3*x4^3, x2*x3, x1*x2, x2*x4*x2*x4, x3*x4*x3*x4 ]
[ x1*x2*x3*x4^3, x1, x2, x2*x4*x2*x4, x3*x4*x3*x4 ]
[ x1*x2*x3*x4^3, x3, x1, x2*x4*x2*x4, x3*x4*x3*x4 ]
[ x1*x2*x3*x4^3, x1*x2*x3, x2, x2*x4*x2*x4, x3*x4*x3*x4 ]
[ x1*x2*x3*x4^3, x3, x1*x2, x2*x4*x2*x4, x3*x4*x3*x4 ]
[ x2*x3, x1, x2, x2*x4*x2*x4, x3*x4*x3*x4 ]
[ x1*x3*x4^3, x2*x3, x1, x2*x4*x2*x4, x3*x4*x3*x4 ]
[ x2*x3*x4^3, x2*x3, x2, x2*x4*x2*x4, x3*x4*x3*x4 ]
[ x1*x3*x4^3, x2*x3, x1*x2, x2*x4*x2*x4, x3*x4*x3*x4 ]
[ x1*x4^3, x1, x2, x2*x4*x2*x4, x3*x4*x3*x4 ]
[ x1*x3*x4^3, x3, x1, x2*x4*x2*x4, x3*x4*x3*x4 ]
[ x2*x3*x4^3, x1*x2*x3, x2, x2*x4*x2*x4, x3*x4*x3*x4 ]
[ x1*x3*x4^3, x3, x1*x2, x2*x4*x2*x4, x3*x4*x3*x4 ]
[ x1*x2*x3*x4^3, x2*x3, x1, x2, x2*x4*x2*x4 ]
[ x1*x2*x3*x4^3, x2*x3, x1, x2, x3*x4*x3*x4 ]
[ x1*x3^4*x4^3, x2, x1, x3^4, x4^2 ]
[ x1*x3^4*x4^3, x2, x2*x3^3*x4^2, x3^4, x4^2 ]
[ x1*x3^4*x4^3, x2, x1*x2*x3^3*x4^2, x3^4, x4^2 ]
[ x1*x3^4*x4^3, x1, x2*x3^3*x4^2, x3^4, x4^2 ]
[ x1*x3^4*x4^3, x3^3*x4^2, x1, x3^4, x4^2 ]
[ x1*x3^4*x4^3, x1*x2, x2*x3^3*x4^2, x3^4, x4^2 ]
[ x1*x3^4*x4^3, x3^3*x4^2, x1*x2*x3^3*x4^2, x3^4, x4^2 ]
[ x2, x1, x2*x3^3*x4^2, x3^4, x4^2 ]
[ x1*x2*x3^2*x4*x3, x2, x1, x3^4, x4^2 ]
[ x3^4*x4^3, x2, x2*x3^3*x4^2, x3^4, x4^2 ]
[ x1*x2*x3^2*x4*x3, x2, x1*x2*x3^3*x4^2, x3^4, x4^2 ]
[ x1*x2*x3^4*x4^3, x1, x2*x3^3*x4^2, x3^4, x4^2 ]
[ x1*x2*x3^2*x4*x3, x3^3*x4^2, x1, x3^4, x4^2 ]
[ x3^4*x4^3, x1*x2, x2*x3^3*x4^2, x3^4, x4^2 ]
[ x1*x2*x3^2*x4*x3, x3^3*x4^2, x1*x2*x3^3*x4^2, x3^4, x4^2 ]
[ x1*x3^4*x4^3, x2, x1, x2*x3^3*x4^2, x4^2 ]
[ x1*x3^4*x4^3, x2, x1, x2*x3^3*x4^2, x3^4 ]
[ x2*x3^4*x4^3, x2, x1, x3^2, x4^2 ]
[ x2*x3^4*x4^3, x2, x3^3, x3^2, x4^2 ]
[ x2*x3^4*x4^3, x2, x1*x3^3, x3^2, x4^2 ]
[ x2*x3^4*x4^3, x1, x3^3, x3^2, x4^2 ]
[ x2*x3^4*x4^3, x2*x3^3, x1, x3^2, x4^2 ]
[ x2*x3^4*x4^3, x1*x2, x3^3, x3^2, x4^2 ]
[ x2*x3^4*x4^3, x2*x3^3, x1*x3^3, x3^2, x4^2 ]
[ x2, x1, x3^3, x3^2, x4^2 ]
[ x2*x3*x4^3, x2, x1, x3^2, x4^2 ]
[ x1*x2*x3^4*x4^3, x2, x3^3, x3^2, x4^2 ]
[ x2*x3*x4^3, x2, x1*x3^3, x3^2, x4^2 ]
[ x3^4*x4^3, x1, x3^3, x3^2, x4^2 ]
[ x2*x3*x4^3, x2*x3^3, x1, x3^2, x4^2 ]
[ x1*x2*x3^4*x4^3, x1*x2, x3^3, x3^2, x4^2 ]
[ x2*x3*x4^3, x2*x3^3, x1*x3^3, x3^2, x4^2 ]
[ x2*x3^4*x4^3, x2, x1, x3^3, x3^2 ]
[ x2*x3^4*x4^3, x2, x1, x3^3, x4^2 ]
[ x1*x4^3, x2, x1, x3^2, x4^2 ]
[ x1*x4^3, x2, x2*x3^3*x4^2, x3^2, x4^2 ]
[ x1*x4^3, x2, x1*x2*x3^3*x4^2, x3^2, x4^2 ]
[ x1*x4^3, x1, x2*x3^3*x4^2, x3^2, x4^2 ]
[ x1*x4^3, x3^3*x4^2, x1, x3^2, x4^2 ]
[ x1*x4^3, x1*x2, x2*x3^3*x4^2, x3^2, x4^2 ]
[ x1*x4^3, x3^3*x4^2, x1*x2*x3^3*x4^2, x3^2, x4^2 ]
[ x2, x1, x2*x3^3*x4^2, x3^2, x4^2 ]
[ x1*x2*x3^4*x4*x3, x2, x1, x3^2, x4^2 ]
[ x4^3, x2, x2*x3^3*x4^2, x3^2, x4^2 ]
[ x1*x2*x3^4*x4*x3, x2, x1*x2*x3^3*x4^2, x3^2, x4^2 ]
[ x1*x2*x4^3, x1, x2*x3^3*x4^2, x3^2, x4^2 ]
[ x1*x2*x3^4*x4*x3, x3^3*x4^2, x1, x3^2, x4^2 ]
[ x4^3, x1*x2, x2*x3^3*x4^2, x3^2, x4^2 ]
[ x1*x2*x3^4*x4*x3, x3^3*x4^2, x1*x2*x3^3*x4^2, x3^2, x4^2 ]
[ x1*x4^3, x2, x1, x2*x3^3*x4^2, x3^2 ]
[ x1*x4^3, x2, x1, x2*x3^3*x4^2, x4^2 ]
[ x3^2*x4^3, x2, x1, x3^4, x4^2 ]
[ x3^2*x4^3, x2, x1*x2*x3^2*x4^2*x3, x3^4, x4^2 ]
[ x3^2*x4^3, x2, x2*x3^2*x4^2*x3, x3^4, x4^2 ]
[ x3^2*x4^3, x1, x1*x2*x3^2*x4^2*x3, x3^4, x4^2 ]
[ x3^2*x4^3, x1*x3^2*x4^2*x3, x1, x3^4, x4^2 ]
[ x3^2*x4^3, x1*x2, x1*x2*x3^2*x4^2*x3, x3^4, x4^2 ]
[ x3^2*x4^3, x1*x3^2*x4^2*x3, x2*x3^2*x4^2*x3, x3^4, x4^2 ]
[ x2, x1, x1*x2*x3^2*x4^2*x3, x3^4, x4^2 ]
[ x1*x2*x3^5*x4, x2, x1, x3^4, x4^2 ]
[ x1*x3^2*x4^3, x2, x1*x2*x3^2*x4^2*x3, x3^4, x4^2 ]
[ x1*x2*x3^5*x4, x2, x2*x3^2*x4^2*x3, x3^4, x4^2 ]
[ x2*x3^2*x4^3, x1, x1*x2*x3^2*x4^2*x3, x3^4, x4^2 ]
[ x1*x2*x3^5*x4, x1*x3^2*x4^2*x3, x1, x3^4, x4^2 ]
[ x1*x3^2*x4^3, x1*x2, x1*x2*x3^2*x4^2*x3, x3^4, x4^2 ]
[ x1*x2*x3^5*x4, x1*x3^2*x4^2*x3, x2*x3^2*x4^2*x3, x3^4, x4^2 ]
[ x3^2*x4^3, x2, x1, x1*x2*x3^2*x4^2*x3, x3^4 ]
[ x3^2*x4^3, x2, x1, x1*x2*x3^2*x4^2*x3, x4^2 ]
[ x2*x3^4*x4^3, x2, x1, x3^2, x4^2 ]
[ x2*x3^4*x4^3, x2, x1*x3^3, x3^2, x4^2 ]
[ x2*x3^4*x4^3, x2, x3^3, x3^2, x4^2 ]
[ x2*x3^4*x4^3, x1, x1*x3^3, x3^2, x4^2 ]
[ x2*x3^4*x4^3, x1*x2*x3^3, x1, x3^2, x4^2 ]
[ x2*x3^4*x4^3, x1*x2, x1*x3^3, x3^2, x4^2 ]
[ x2*x3^4*x4^3, x1*x2*x3^3, x3^3, x3^2, x4^2 ]
[ x2, x1, x1*x3^3, x3^2, x4^2 ]
[ x1*x2*x3*x4^3, x2, x1, x3^2, x4^2 ]
[ x1*x2*x3^4*x4^3, x2, x1*x3^3, x3^2, x4^2 ]
[ x1*x2*x3*x4^3, x2, x3^3, x3^2, x4^2 ]
[ x3^4*x4^3, x1, x1*x3^3, x3^2, x4^2 ]
[ x1*x2*x3*x4^3, x1*x2*x3^3, x1, x3^2, x4^2 ]
[ x1*x2*x3^4*x4^3, x1*x2, x1*x3^3, x3^2, x4^2 ]
[ x1*x2*x3*x4^3, x1*x2*x3^3, x3^3, x3^2, x4^2 ]
[ x2*x3^4*x4^3, x2, x1, x1*x3^3, x3^2 ]
[ x2*x3^4*x4^3, x2, x1, x1*x3^3, x4^2 ]
[ x4^3, x1*x2*x3^3, x2, x3^2*x4^2, x3^2 ]
[ x4^3, x1*x2*x3^3, x1, x3^2*x4^2, x3^2 ]
[ x4^3, x1*x2*x3^3, x1*x2, x3^2*x4^2, x3^2 ]
[ x4^3, x2, x1, x3^2*x4^2, x3^2 ]
[ x4^3, x2*x3^3, x2, x3^2*x4^2, x3^2 ]
[ x4^3, x1*x3^3, x1, x3^2*x4^2, x3^2 ]
[ x4^3, x2*x3^3, x1*x2, x3^2*x4^2, x3^2 ]
[ x1*x2*x3^3, x2, x1, x3^2*x4^2, x3^2 ]
[ x1*x4^3, x1*x2*x3^3, x2, x3^2*x4^2, x3^2 ]
[ x2*x4^3, x1*x2*x3^3, x1, x3^2*x4^2, x3^2 ]
[ x1*x4^3, x1*x2*x3^3, x1*x2, x3^2*x4^2, x3^2 ]
[ x1*x2*x3^3*x4^3, x2, x1, x3^2*x4^2, x3^2 ]
[ x1*x4^3, x2*x3^3, x2, x3^2*x4^2, x3^2 ]
[ x2*x4^3, x1*x3^3, x1, x3^2*x4^2, x3^2 ]
[ x1*x4^3, x2*x3^3, x1*x2, x3^2*x4^2, x3^2 ]
[ x4^3, x1*x2*x3^3, x2, x1, x3^2*x4^2 ]
[ x4^3, x1*x2*x3^3, x2, x1, x3^2 ]
[ x4^3, x1*x2*x3^3, x2, x1, x4^2 ]
[ x4^3, x1*x2*x3^3, x2, x1, x1*x3^2*x1*x4^2 ]
[ x1*x2*x4^3, x1*x3^3*x4^2, x1, x4^2, x3^2 ]
[ x1*x2*x4^3, x1*x3^3*x4^2, x2, x4^2, x3^2 ]
[ x1*x2*x4^3, x1*x3^3*x4^2, x1*x2, x4^2, x3^2 ]
[ x1*x2*x4^3, x1, x2, x4^2, x3^2 ]
[ x1*x2*x4^3, x1*x2*x3^3*x4^2, x1, x4^2, x3^2 ]
[ x1*x2*x4^3, x3^3*x4^2, x2, x4^2, x3^2 ]
[ x1*x2*x4^3, x1*x2*x3^3*x4^2, x1*x2, x4^2, x3^2 ]
[ x1*x3^3*x4^2, x1, x2, x4^2, x3^2 ]
[ x1*x4^3, x1*x3^3*x4^2, x1, x4^2, x3^2 ]
[ x2*x4^3, x1*x3^3*x4^2, x2, x4^2, x3^2 ]
[ x1*x4^3, x1*x3^3*x4^2, x1*x2, x4^2, x3^2 ]
[ x2*x3^2*x4*x3, x1, x2, x4^2, x3^2 ]
[ x1*x4^3, x1*x2*x3^3*x4^2, x1, x4^2, x3^2 ]
[ x2*x4^3, x3^3*x4^2, x2, x4^2, x3^2 ]
[ x1*x4^3, x1*x2*x3^3*x4^2, x1*x2, x4^2, x3^2 ]
[ x1*x2*x4^3, x1*x3^3*x4^2, x1, x2, x4^2 ]
[ x1*x2*x4^3, x1*x3^3*x4^2, x1, x2, x3^2 ]
[ x2*x3^4*x4^3, x2, x1, x3^2, x4^2 ]
[ x2*x3^4*x4^3, x2, x1*x3^3, x3^2, x4^2 ]
[ x2*x3^4*x4^3, x2, x3^3, x3^2, x4^2 ]
[ x2*x3^4*x4^3, x1, x1*x3^3, x3^2, x4^2 ]
[ x2*x3^4*x4^3, x1*x2*x3^3, x1, x3^2, x4^2 ]
[ x2*x3^4*x4^3, x1*x2, x1*x3^3, x3^2, x4^2 ]
[ x2*x3^4*x4^3, x1*x2*x3^3, x3^3, x3^2, x4^2 ]
[ x2, x1, x1*x3^3, x3^2, x4^2 ]
[ x1*x2*x3*x4^3, x2, x1, x3^2, x4^2 ]
[ x1*x2*x3^4*x4^3, x2, x1*x3^3, x3^2, x4^2 ]
[ x1*x2*x3*x4^3, x2, x3^3, x3^2, x4^2 ]
[ x3^4*x4^3, x1, x1*x3^3, x3^2, x4^2 ]
[ x1*x2*x3*x4^3, x1*x2*x3^3, x1, x3^2, x4^2 ]
[ x1*x2*x3^4*x4^3, x1*x2, x1*x3^3, x3^2, x4^2 ]
[ x1*x2*x3*x4^3, x1*x2*x3^3, x3^3, x3^2, x4^2 ]
[ x2*x3^4*x4^3, x2, x1, x1*x3^3, x3^2 ]
[ x2*x3^4*x4^3, x2, x1, x1*x3^3, x4^2 ]
[ x4^3, x1*x3*x1*x3*x1*x3, x3*x1*x3, x4^2, x1*x3*x1*x3 ]
[ x4^3, x1*x3*x1*x3*x1*x3, x2*x3*x1*x3, x4^2, x1*x3*x1*x3 ]
[ x4^3, x1*x3*x1*x3*x1*x3, x2, x4^2, x1*x3*x1*x3 ]
[ x4^3, x3*x1*x3, x2*x3*x1*x3, x4^2, x1*x3*x1*x3 ]
[ x4^3, x1*x2*x3*x1, x3*x1*x3, x4^2, x1*x3*x1*x3 ]
[ x4^3, x1*x3*x1, x2*x3*x1*x3, x4^2, x1*x3*x1*x3 ]
[ x4^3, x1*x2*x3*x1, x2, x4^2, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x1*x3, x3*x1*x3, x2*x3*x1*x3, x4^2, x1*x3*x1*x3 ]
[ x2*x3*x1*x3*x4^3, x1*x3*x1*x3*x1*x3, x3*x1*x3, x4^2, x1*x3*x1*x3 ]
[ x3*x1*x3*x4^3, x1*x3*x1*x3*x1*x3, x2*x3*x1*x3, x4^2, x1*x3*x1*x3 ]
[ x2*x3*x1*x3*x4^3, x1*x3*x1*x3*x1*x3, x2, x4^2, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x1*x3*x4^3, x3*x1*x3, x2*x3*x1*x3, x4^2, x1*x3*x1*x3 ]
[ x2*x3*x1*x3*x4^3, x1*x2*x3*x1, x3*x1*x3, x4^2, x1*x3*x1*x3 ]
[ x3*x1*x3*x4^3, x1*x3*x1, x2*x3*x1*x3, x4^2, x1*x3*x1*x3 ]
[ x2*x3*x1*x3*x4^3, x1*x2*x3*x1, x2, x4^2, x1*x3*x1*x3 ]
[ x4^3, x1*x3*x1*x3*x1*x3, x3*x1*x3, x2*x3*x1*x3, x4^2 ]
[ x4^3, x1*x3*x1*x3*x1*x3, x3*x1*x3, x2*x3*x1*x3, x1*x3*x1*x3 ]
[ x1*x4^3, x2*x3, x2, x1*x4*x1*x4, x2*x4*x2*x4 ]
[ x1*x4^3, x2*x3, x1, x1*x4*x1*x4, x2*x4*x2*x4 ]
[ x1*x4^3, x2*x3, x1*x2, x1*x4*x1*x4, x2*x4*x2*x4 ]
[ x1*x4^3, x2, x1, x1*x4*x1*x4, x2*x4*x2*x4 ]
[ x1*x4^3, x1*x2*x3, x2, x1*x4*x1*x4, x2*x4*x2*x4 ]
[ x1*x4^3, x3, x1, x1*x4*x1*x4, x2*x4*x2*x4 ]
[ x1*x4^3, x1*x2*x3, x1*x2, x1*x4*x1*x4, x2*x4*x2*x4 ]
[ x2*x3, x2, x1, x1*x4*x1*x4, x2*x4*x2*x4 ]
[ x4^3, x2*x3, x2, x1*x4*x1*x4, x2*x4*x2*x4 ]
[ x1*x2*x4^3, x2*x3, x1, x1*x4*x1*x4, x2*x4*x2*x4 ]
[ x4^3, x2*x3, x1*x2, x1*x4*x1*x4, x2*x4*x2*x4 ]
[ x1*x2*x3*x4^3, x2, x1, x1*x4*x1*x4, x2*x4*x2*x4 ]
[ x4^3, x1*x2*x3, x2, x1*x4*x1*x4, x2*x4*x2*x4 ]
[ x1*x2*x4^3, x3, x1, x1*x4*x1*x4, x2*x4*x2*x4 ]
[ x4^3, x1*x2*x3, x1*x2, x1*x4*x1*x4, x2*x4*x2*x4 ]
[ x1*x4^3, x2*x3, x2, x1, x1*x4*x1*x4 ]
[ x1*x4^3, x2*x3, x2, x1, x2*x4*x2*x4 ]
[ x4^3, x2*x3*x1, x1*x3^2, x4^2, x3^2 ]
[ x4^3, x2*x3*x1, x1*x2*x3^2, x4^2, x3^2 ]
[ x4^3, x2*x3*x1, x2, x4^2, x3^2 ]
[ x4^3, x1*x3^2, x1*x2*x3^2, x4^2, x3^2 ]
[ x4^3, x3^3, x1*x3^2, x4^2, x3^2 ]
[ x4^3, x2*x3^3, x1*x2*x3^2, x4^2, x3^2 ]
[ x4^3, x3^3, x2, x4^2, x3^2 ]
[ x2*x3*x1, x1*x3^2, x1*x2*x3^2, x4^2, x3^2 ]
[ x1*x2*x3^2*x4^3, x2*x3*x1, x1*x3^2, x4^2, x3^2 ]
[ x1*x3^2*x4^3, x2*x3*x1, x1*x2*x3^2, x4^2, x3^2 ]
[ x1*x2*x3^2*x4^3, x2*x3*x1, x2, x4^2, x3^2 ]
[ x2*x3*x1*x4^3, x1*x3^2, x1*x2*x3^2, x4^2, x3^2 ]
[ x1*x2*x3^2*x4^3, x3^3, x1*x3^2, x4^2, x3^2 ]
[ x1*x3^2*x4^3, x2*x3^3, x1*x2*x3^2, x4^2, x3^2 ]
[ x1*x2*x3^2*x4^3, x3^3, x2, x4^2, x3^2 ]
[ x4^3, x2*x3*x1, x1*x3^2, x1*x2*x3^2, x4^2 ]
[ x4^3, x2*x3*x1, x1*x3^2, x1*x2*x3^2, x3^2 ]
[ x2*x3^4*x4^3, x2, x1, x3^2, x4^2 ]
[ x2*x3^4*x4^3, x2, x1*x3^2*x4^2*x3, x3^2, x4^2 ]
[ x2*x3^4*x4^3, x2, x3^2*x4^2*x3, x3^2, x4^2 ]
[ x2*x3^4*x4^3, x1, x1*x3^2*x4^2*x3, x3^2, x4^2 ]
[ x2*x3^4*x4^3, x1*x2*x3^2*x4^2*x3, x1, x3^2, x4^2 ]
[ x2*x3^4*x4^3, x1*x2, x1*x3^2*x4^2*x3, x3^2, x4^2 ]
[ x2*x3^4*x4^3, x1*x2*x3^2*x4^2*x3, x3^2*x4^2*x3, x3^2, x4^2 ]
[ x2, x1, x1*x3^2*x4^2*x3, x3^2, x4^2 ]
[ x1*x2*x3*x4, x2, x1, x3^2, x4^2 ]
[ x1*x2*x3^4*x4^3, x2, x1*x3^2*x4^2*x3, x3^2, x4^2 ]
[ x1*x2*x3*x4, x2, x3^2*x4^2*x3, x3^2, x4^2 ]
[ x3^4*x4^3, x1, x1*x3^2*x4^2*x3, x3^2, x4^2 ]
[ x1*x2*x3*x4, x1*x2*x3^2*x4^2*x3, x1, x3^2, x4^2 ]
[ x1*x2*x3^4*x4^3, x1*x2, x1*x3^2*x4^2*x3, x3^2, x4^2 ]
[ x1*x2*x3*x4, x1*x2*x3^2*x4^2*x3, x3^2*x4^2*x3, x3^2, x4^2 ]
[ x2*x3^4*x4^3, x2, x1, x1*x3^2*x4^2*x3, x4^2 ]
[ x2*x3^4*x4^3, x2, x1, x1*x3^2*x4^2*x3, x3^2 ]
[ x4^3, x3*x4*x1*x4*x1, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4^3, x3*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4^3, x3*x4*x1*x4*x1, x1*x2*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4^3, x2, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4^3, x2*x3*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4^3, x1*x3, x1*x2*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x3*x4*x1*x4*x1, x2, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x3*x4*x1*x4*x1, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4^3, x3*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x3*x4*x1*x4*x1, x1*x2*x4*x1*x4*x1, x1*x4*x1*x4,
x1*x4*x1*x4^3 ]
[ x3*x4*x1*x4*x1*x4^3, x2, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4^3, x2*x3*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x1*x3, x1*x2*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4^3, x3*x4*x1*x4*x1, x2, x1*x4*x1*x4*x1, x1*x4*x1*x4 ]
[ x4^3, x3*x4*x1*x4*x1, x2, x1*x4*x1*x4*x1, x1*x4^2*x1 ]
[ x3^4*x4^3, x1*x2, x1, x3^4, x4^2 ]
[ x3^4*x4^3, x1*x2, x3^3*x4^2, x3^4, x4^2 ]
[ x3^4*x4^3, x1*x2, x1*x3^3*x4^2, x3^4, x4^2 ]
[ x3^4*x4^3, x1, x3^3*x4^2, x3^4, x4^2 ]
[ x3^4*x4^3, x1*x2*x3^3*x4^2, x1, x3^4, x4^2 ]
[ x3^4*x4^3, x2, x3^3*x4^2, x3^4, x4^2 ]
[ x3^4*x4^3, x1*x2*x3^3*x4^2, x1*x3^3*x4^2, x3^4, x4^2 ]
[ x1*x2, x1, x3^3*x4^2, x3^4, x4^2 ]
[ x3^2*x4*x3, x1*x2, x1, x3^4, x4^2 ]
[ x1*x3^4*x4^3, x1*x2, x3^3*x4^2, x3^4, x4^2 ]
[ x3^2*x4*x3, x1*x2, x1*x3^3*x4^2, x3^4, x4^2 ]
[ x1*x2*x3^4*x4^3, x1, x3^3*x4^2, x3^4, x4^2 ]
[ x3^2*x4*x3, x1*x2*x3^3*x4^2, x1, x3^4, x4^2 ]
[ x1*x3^4*x4^3, x2, x3^3*x4^2, x3^4, x4^2 ]
[ x3^2*x4*x3, x1*x2*x3^3*x4^2, x1*x3^3*x4^2, x3^4, x4^2 ]
[ x3^4*x4^3, x1*x2, x1, x3^3*x4^2, x4^2 ]
[ x3^4*x4^3, x1*x2, x1, x3^3*x4^2, x3^4 ]
[ x4^3, x3*x4*x1*x4*x1, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4^3, x3*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4^3, x3*x4*x1*x4*x1, x1*x2*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4^3, x2, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4^3, x2*x3*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4^3, x1*x3, x1*x2*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x3*x4*x1*x4*x1, x2, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x3*x4*x1*x4*x1, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4^3, x3*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x3*x4*x1*x4*x1, x1*x2*x4*x1*x4*x1, x1*x4*x1*x4,
x1*x4*x1*x4^3 ]
[ x3*x4*x1*x4*x1*x4^3, x2, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4^3, x2*x3*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x1*x3, x1*x2*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4^3, x3*x4*x1*x4*x1, x2, x1*x4*x1*x4*x1, x1*x4^2*x1 ]
[ x4^3, x3*x4*x1*x4*x1, x2, x1*x4*x1*x4*x1, x1*x4*x1*x4 ]
[ x4^3, x3, x1*x2*x1, x4^2, x1*x2*x1*x2 ]
[ x4^3, x3, x2*x1*x2, x4^2, x1*x2*x1*x2 ]
[ x4^3, x3, x1*x2*x1*x2*x1*x2, x4^2, x1*x2*x1*x2 ]
[ x4^3, x1*x2*x1, x2*x1*x2, x4^2, x1*x2*x1*x2 ]
[ x4^3, x2*x1*x2*x3, x1*x2*x1, x4^2, x1*x2*x1*x2 ]
[ x4^3, x1*x2*x1*x3, x2*x1*x2, x4^2, x1*x2*x1*x2 ]
[ x4^3, x2*x1*x2*x3, x1*x2*x1*x2*x1*x2, x4^2, x1*x2*x1*x2 ]
[ x3, x1*x2*x1, x2*x1*x2, x4^2, x1*x2*x1*x2 ]
[ x2*x1*x2*x4^3, x3, x1*x2*x1, x4^2, x1*x2*x1*x2 ]
[ x1*x2*x1*x4^3, x3, x2*x1*x2, x4^2, x1*x2*x1*x2 ]
[ x2*x1*x2*x4^3, x3, x1*x2*x1*x2*x1*x2, x4^2, x1*x2*x1*x2 ]
[ x3*x4^3, x1*x2*x1, x2*x1*x2, x4^2, x1*x2*x1*x2 ]
[ x2*x1*x2*x4^3, x2*x1*x2*x3, x1*x2*x1, x4^2, x1*x2*x1*x2 ]
[ x1*x2*x1*x4^3, x1*x2*x1*x3, x2*x1*x2, x4^2, x1*x2*x1*x2 ]
[ x2*x1*x2*x4^3, x2*x1*x2*x3, x1*x2*x1*x2*x1*x2, x4^2, x1*x2*x1*x2 ]
[ x4^3, x3, x1*x2*x1, x2*x1*x2, x4^2 ]
[ x4^3, x3, x1*x2*x1, x2*x1*x2, x1*x2*x1*x2 ]
[ x4*x1*x4*x1*x4^3, x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x1*x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, 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 ]
[ x1*x4*x1*x4*x1*x4^3, x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4*x1*x4*x1*x4^3, x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x3*x4*x1*x4*x1*x4^3, x1*x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4*x1*x4*x1*x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x3, x1*x2, x1, x1*x4^2*x1 ]
[ x4*x1*x4*x1*x4^3, x3, x1*x2, x1, x1*x4*x1*x4 ]
[ x4^3, x4*x1*x3*x4*x1, x1*x3*x4*x1*x3*x4*x1, x1*x4*x1*x4, x1*x3*x4*x1*x3*x4 ]
[ x4^3, x4*x1*x3*x4*x1, x2, x1*x4*x1*x4, x1*x3*x4*x1*x3*x4 ]
[ x4^3, x4*x1*x3*x4*x1, x1*x2*x3*x4*x1*x3*x4*x1, x1*x4*x1*x4,
x1*x3*x4*x1*x3*x4 ]
[ x4^3, x1*x3*x4*x1*x3*x4*x1, x2, x1*x4*x1*x4, x1*x3*x4*x1*x3*x4 ]
[ x4^3, x2*x4*x1*x3*x4*x1, x1*x3*x4*x1*x3*x4*x1, x1*x4*x1*x4,
x1*x3*x4*x1*x3*x4 ]
[ x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x3*x4*x1*x3*x4 ]
[ x4^3, x2*x4*x1*x3*x4*x1, x1*x2*x3*x4*x1*x3*x4*x1, x1*x4*x1*x4,
x1*x3*x4*x1*x3*x4 ]
[ x4*x1*x3*x4*x1, x1*x3*x4*x1*x3*x4*x1, x2, x1*x4*x1*x4, x1*x3*x4*x1*x3*x4 ]
[ x2*x4^3, x4*x1*x3*x4*x1, x1*x3*x4*x1*x3*x4*x1, x1*x4*x1*x4,
x1*x3*x4*x1*x3*x4 ]
[ x4*x1*x4^2, x4*x1*x3*x4*x1, x2, x1*x4*x1*x4, x1*x3*x4*x1*x3*x4 ]
[ x2*x4^3, x4*x1*x3*x4*x1, x1*x2*x3*x4*x1*x3*x4*x1, x1*x4*x1*x4,
x1*x3*x4*x1*x3*x4 ]
[ x1*x3*x4*x1*x4^2, x1*x3*x4*x1*x3*x4*x1, x2, x1*x4*x1*x4, x1*x3*x4*x1*x3*x4 ]
[ x2*x4^3, x2*x4*x1*x3*x4*x1, x1*x3*x4*x1*x3*x4*x1, x1*x4*x1*x4,
x1*x3*x4*x1*x3*x4 ]
[ x4*x1*x4^2, x1*x3, x2, x1*x4*x1*x4, x1*x3*x4*x1*x3*x4 ]
[ x2*x4^3, x2*x4*x1*x3*x4*x1, x1*x2*x3*x4*x1*x3*x4*x1, x1*x4*x1*x4,
x1*x3*x4*x1*x3*x4 ]
[ x4^3, x4*x1*x3*x4*x1, x1*x3*x4*x1*x3*x4*x1, x2, x1*x3*x4*x1*x3*x4 ]
[ x4^3, x4*x1*x3*x4*x1, x1*x3*x4*x1*x3*x4*x1, x2, x1*x4*x1*x4 ]
[ x1*x3^5*x4*x3*x4*x3*x4, x2, x1, x3^2, x3*x4*x3*x4 ]
[ x1*x3^5*x4*x3*x4*x3*x4, x2, x3^3*x4*x3*x4*x3, x3^2, x3*x4*x3*x4 ]
[ x1*x3^5*x4*x3*x4*x3*x4, x2, x1*x3^3*x4*x3*x4*x3, x3^2, x3*x4*x3*x4 ]
[ x1*x3^5*x4*x3*x4*x3*x4, x1, x3^3*x4*x3*x4*x3, x3^2, x3*x4*x3*x4 ]
[ x1*x3^5*x4*x3*x4*x3*x4, x2*x3^3*x4*x3*x4*x3, x1, x3^2, x3*x4*x3*x4 ]
[ x1*x3^5*x4*x3*x4*x3*x4, x1*x2, x3^3*x4*x3*x4*x3, x3^2, x3*x4*x3*x4 ]
[ x1*x3^5*x4*x3*x4*x3*x4, x2*x3^3*x4*x3*x4*x3, x1*x3^3*x4*x3*x4*x3, x3^2,
x3*x4*x3*x4 ]
[ x2, x1, x3^3*x4*x3*x4*x3, x3^2, x3*x4*x3*x4 ]
[ x1*x3^2*x4, x2, x1, x3^2, x3*x4*x3*x4 ]
[ x3^5*x4*x3*x4*x3*x4, x2, x3^3*x4*x3*x4*x3, x3^2, x3*x4*x3*x4 ]
[ x1*x3^2*x4, x2, x1*x3^3*x4*x3*x4*x3, x3^2, x3*x4*x3*x4 ]
[ x1*x2*x3^5*x4*x3*x4*x3*x4, x1, x3^3*x4*x3*x4*x3, x3^2, x3*x4*x3*x4 ]
[ x1*x3^2*x4, x2*x3^3*x4*x3*x4*x3, x1, x3^2, x3*x4*x3*x4 ]
[ x3^5*x4*x3*x4*x3*x4, x1*x2, x3^3*x4*x3*x4*x3, x3^2, x3*x4*x3*x4 ]
[ x1*x3^2*x4, x2*x3^3*x4*x3*x4*x3, x1*x3^3*x4*x3*x4*x3, x3^2, x3*x4*x3*x4 ]
[ x1*x3^5*x4*x3*x4*x3*x4, x2, x1, x3^3*x4*x3*x4*x3, x3*x4*x3*x4 ]
[ x1*x3^5*x4*x3*x4*x3*x4, x2, x1, x3^3*x4*x3*x4*x3, x3^2 ]
[ x4*x1*x4*x1*x4^3, x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x1*x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, 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 ]
[ x1*x4*x1*x4*x1*x4^3, x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4*x1*x4*x1*x4^3, x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x3*x4*x1*x4*x1*x4^3, x1*x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4*x1*x4*x1*x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x3, x1*x2, x1, x1*x4^2*x1 ]
[ x4*x1*x4*x1*x4^3, x3, x1*x2, x1, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4^3, x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x1*x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, 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 ]
[ x1*x4*x1*x4*x1*x4^3, x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4*x1*x4*x1*x4^3, x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x3*x4*x1*x4*x1*x4^3, x1*x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4*x1*x4*x1*x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x3, x1*x2, x1, x1*x4^2*x1 ]
[ x4*x1*x4*x1*x4^3, x3, x1*x2, x1, x1*x4*x1*x4 ]
[ x4^3, x3, x1*x2, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x3, x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x3, x2, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x1*x2, x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x1*x3, x1*x2, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x1*x2*x3, x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x1*x3, x2, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x3, x1*x2, x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x4^3, x3, x1*x2, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x2*x4^3, x3, x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x4^3, x3, x2, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x3*x4^3, x1*x2, x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x4^3, x1*x3, x1*x2, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x2*x4^3, x1*x2*x3, x1, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x4^3, x1*x3, x2, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x3, x1*x2, x1, x1*x3*x4*x3*x4*x1 ]
[ x4^3, x3, x1*x2, x1, x1*x3*x4*x1*x3*x4 ]
[ x4^3, x3*x4*x1*x4*x1, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4^3, x3*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4^3, x3*x4*x1*x4*x1, x1*x2*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4^3, x2, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4^3, x2*x3*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4^3, x1*x3, x1*x2*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x3*x4*x1*x4*x1, x2, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x3*x4*x1*x4*x1, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4^3, x3*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x3*x4*x1*x4*x1, x1*x2*x4*x1*x4*x1, x1*x4*x1*x4,
x1*x4*x1*x4^3 ]
[ x3*x4*x1*x4*x1*x4^3, x2, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4^3, x2*x3*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x1*x3, x1*x2*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4^3, x3*x4*x1*x4*x1, x2, x1*x4*x1*x4*x1, x1*x4*x1*x4 ]
[ x4^3, x3*x4*x1*x4*x1, x2, x1*x4*x1*x4*x1, x1*x4^2*x1 ]
[ x3^2*x4, x1*x2*x3*x2*x3*x2*x3, x1*x3^2*x2, x2*x3^2*x2, x2*x3*x2*x3^3 ]
[ x3^2*x4, x1*x2*x3*x2*x3*x2*x3, x1, x2*x3^2*x2, x2*x3*x2*x3^3 ]
[ x3^2*x4, x1*x2*x3*x2*x3*x2*x3, x3^2*x2, x2*x3^2*x2, x2*x3*x2*x3^3 ]
[ x3^2*x4, x1*x3^2*x2, x1, x2*x3^2*x2, x2*x3*x2*x3^3 ]
[ x3^2*x4, x2*x3*x2*x3*x2*x3, x1*x3^2*x2, x2*x3^2*x2, x2*x3*x2*x3^3 ]
[ x3^2*x4, x3*x2*x3*x2*x3^3, x1, x2*x3^2*x2, x2*x3*x2*x3^3 ]
[ x3^2*x4, x2*x3*x2*x3*x2*x3, x3^2*x2, x2*x3^2*x2, x2*x3*x2*x3^3 ]
[ x1*x2*x3*x2*x3*x2*x3, x1*x3^2*x2, x1, x2*x3^2*x2, x2*x3*x2*x3^3 ]
[ x1*x3^2*x4, x1*x2*x3*x2*x3*x2*x3, x1*x3^2*x2, x2*x3^2*x2, x2*x3*x2*x3^3 ]
[ x1*x2*x4, x1*x2*x3*x2*x3*x2*x3, x1, x2*x3^2*x2, x2*x3*x2*x3^3 ]
[ x1*x3^2*x4, x1*x2*x3*x2*x3*x2*x3, x3^2*x2, x2*x3^2*x2, x2*x3*x2*x3^3 ]
[ x1*x2*x3*x2*x3*x2*x3^3*x4, x1*x3^2*x2, x1, x2*x3^2*x2, x2*x3*x2*x3^3 ]
[ x1*x3^2*x4, x2*x3*x2*x3*x2*x3, x1*x3^2*x2, x2*x3^2*x2, x2*x3*x2*x3^3 ]
[ x1*x2*x4, x3*x2*x3*x2*x3^3, x1, x2*x3^2*x2, x2*x3*x2*x3^3 ]
[ x1*x3^2*x4, x2*x3*x2*x3*x2*x3, x3^2*x2, x2*x3^2*x2, x2*x3*x2*x3^3 ]
[ x3^2*x4, x1*x2*x3*x2*x3*x2*x3, x1*x3^2*x2, x1, x2*x3^2*x2 ]
[ x3^2*x4, x1*x2*x3*x2*x3*x2*x3, x1*x3^2*x2, x1, x2*x3*x2*x3 ]
[ x1*x3^3*x4^3, x3^3, x2, x3^2, x4^2 ]
[ x1*x3^3*x4^3, x3^3, x1, x3^2, x4^2 ]
[ x1*x3^3*x4^3, x3^3, x1*x2, x3^2, x4^2 ]
[ x1*x3^3*x4^3, x2, x1, x3^2, x4^2 ]
[ x1*x3^3*x4^3, x1*x3^3, x2, x3^2, x4^2 ]
[ x1*x3^3*x4^3, x2*x3^3, x1, x3^2, x4^2 ]
[ x1*x3^3*x4^3, x1*x3^3, x1*x2, x3^2, x4^2 ]
[ x3^3, x2, x1, x3^2, x4^2 ]
[ x3^3*x4^3, x3^3, x2, x3^2, x4^2 ]
[ x1*x2*x3^3*x4^3, x3^3, x1, x3^2, x4^2 ]
[ x3^3*x4^3, x3^3, x1*x2, x3^2, x4^2 ]
[ x1*x4^3, x2, x1, x3^2, x4^2 ]
[ x3^3*x4^3, x1*x3^3, x2, x3^2, x4^2 ]
[ x1*x2*x3^3*x4^3, x2*x3^3, x1, x3^2, x4^2 ]
[ x3^3*x4^3, x1*x3^3, x1*x2, x3^2, x4^2 ]
[ x1*x3^3*x4^3, x3^3, x2, x1, x3^2 ]
[ x1*x3^3*x4^3, x3^3, x2, x1, x4^2 ]
[ x1*x3^3*x4^3, x3^3, x2, x1, x3^2*x1*x4^2*x1 ]
[ x1*x3^3*x4^3, x3^3, x2, x1, x3^2*x4^2 ]
[ x1*x4*x1*x4*x1*x4, x1*x3^3, x2, x1*x4*x1*x4, x3^2 ]
[ x1*x4*x1*x4*x1*x4, x1*x3^3, x1, x1*x4*x1*x4, x3^2 ]
[ x1*x4*x1*x4*x1*x4, x1*x3^3, x1*x2, x1*x4*x1*x4, x3^2 ]
[ x1*x4*x1*x4*x1*x4, x2, x1, x1*x4*x1*x4, x3^2 ]
[ x1*x4*x1*x4*x1*x4, x3^3, x2, x1*x4*x1*x4, x3^2 ]
[ x1*x4*x1*x4*x1*x4, x1*x2*x3^3, x1, x1*x4*x1*x4, x3^2 ]
[ x1*x4*x1*x4*x1*x4, x3^3, x1*x2, x1*x4*x1*x4, x3^2 ]
[ x1*x3^3, x2, x1, x1*x4*x1*x4, x3^2 ]
[ x4*x1*x4*x1*x4, x1*x3^3, x2, x1*x4*x1*x4, x3^2 ]
[ x1*x2*x4*x1*x4*x1*x4, x1*x3^3, x1, x1*x4*x1*x4, x3^2 ]
[ x4*x1*x4*x1*x4, x1*x3^3, x1*x2, x1*x4*x1*x4, x3^2 ]
[ x3^3*x4*x1*x4*x1*x4, x2, x1, x1*x4*x1*x4, x3^2 ]
[ x4*x1*x4*x1*x4, x3^3, x2, x1*x4*x1*x4, x3^2 ]
[ x1*x2*x4*x1*x4*x1*x4, x1*x2*x3^3, x1, x1*x4*x1*x4, x3^2 ]
[ x4*x1*x4*x1*x4, x3^3, x1*x2, x1*x4*x1*x4, x3^2 ]
[ x1*x4*x1*x4*x1*x4, x1*x3^3, x2, x1, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x1*x3^3, x2, x1, x3^2 ]
[ x1*x4*x1*x4*x1*x4, x1*x3^3, x2, x1, x1*x3^2*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x1*x3^3, x2, x1, x3^2*x1*x4*x1*x4 ]
[ x4, x2, x1*x3^3*x4*x1*x4*x1, x3^2, x1*x4*x1*x4 ]
[ x4, x2, x3^3, x3^2, x1*x4*x1*x4 ]
[ x4, x2, x1*x4*x1*x4*x1, x3^2, x1*x4*x1*x4 ]
[ x4, x1*x3^3*x4*x1*x4*x1, x3^3, x3^2, x1*x4*x1*x4 ]
[ x4, x2*x3^3, x1*x3^3*x4*x1*x4*x1, x3^2, x1*x4*x1*x4 ]
[ x4, x1*x2*x3^3*x4*x1*x4*x1, x3^3, x3^2, x1*x4*x1*x4 ]
[ x4, x2*x3^3, x1*x4*x1*x4*x1, x3^2, x1*x4*x1*x4 ]
[ x2, x1*x3^3*x4*x1*x4*x1, x3^3, x3^2, x1*x4*x1*x4 ]
[ x3^3*x4, x2, x1*x3^3*x4*x1*x4*x1, x3^2, x1*x4*x1*x4 ]
[ x1*x3^3*x4*x1*x4*x1*x4, x2, x3^3, x3^2, x1*x4*x1*x4 ]
[ x3^3*x4, x2, x1*x4*x1*x4*x1, x3^2, x1*x4*x1*x4 ]
[ x2*x4, x1*x3^3*x4*x1*x4*x1, x3^3, x3^2, x1*x4*x1*x4 ]
[ x3^3*x4, x2*x3^3, x1*x3^3*x4*x1*x4*x1, x3^2, x1*x4*x1*x4 ]
[ x1*x3^3*x4*x1*x4*x1*x4, x1*x2*x3^3*x4*x1*x4*x1, x3^3, x3^2, x1*x4*x1*x4 ]
[ x3^3*x4, x2*x3^3, x1*x4*x1*x4*x1, x3^2, x1*x4*x1*x4 ]
[ x4, x2, x1*x3^3*x4*x1*x4*x1, x3^3, x3^2 ]
[ x4, x2, x1*x3^3*x4*x1*x4*x1, x3^3, x1*x4*x1*x4 ]
[ x1*x3^2*x4^3, x3^2*x1*x4^2*x3, x1*x3^2, x4^2, x3^2 ]
[ x1*x3^2*x4^3, x3^2*x1*x4^2*x3, x2, x4^2, x3^2 ]
[ x1*x3^2*x4^3, x3^2*x1*x4^2*x3, x1*x2*x3^2, x4^2, x3^2 ]
[ x1*x3^2*x4^3, x1*x3^2, x2, x4^2, x3^2 ]
[ x1*x3^2*x4^3, x2*x3^2*x1*x4^2*x3, x1*x3^2, x4^2, x3^2 ]
[ x1*x3^2*x4^3, x3^2*x4^2*x3, x2, x4^2, x3^2 ]
[ x1*x3^2*x4^3, x2*x3^2*x1*x4^2*x3, x1*x2*x3^2, x4^2, x3^2 ]
[ x3^2*x1*x4^2*x3, x1*x3^2, x2, x4^2, x3^2 ]
[ x1*x2*x3^2*x4^3, x3^2*x1*x4^2*x3, x1*x3^2, x4^2, x3^2 ]
[ x4^3, x3^2*x1*x4^2*x3, x2, x4^2, x3^2 ]
[ x1*x2*x3^2*x4^3, x3^2*x1*x4^2*x3, x1*x2*x3^2, x4^2, x3^2 ]
[ x3^3*x4, x1*x3^2, x2, x4^2, x3^2 ]
[ x1*x2*x3^2*x4^3, x2*x3^2*x1*x4^2*x3, x1*x3^2, x4^2, x3^2 ]
[ x4^3, x3^2*x4^2*x3, x2, x4^2, x3^2 ]
[ x1*x2*x3^2*x4^3, x2*x3^2*x1*x4^2*x3, x1*x2*x3^2, x4^2, x3^2 ]
[ x1*x3^2*x4^3, x3^2*x1*x4^2*x3, x1*x3^2, x2, x4^2 ]
[ x1*x3^2*x4^3, x3^2*x1*x4^2*x3, x1*x3^2, x2, x3^2 ]
[ x4*x1*x4*x1*x4^3, x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x1*x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, 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 ]
[ x1*x4*x1*x4*x1*x4^3, x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4*x1*x4*x1*x4^3, x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x3*x4*x1*x4*x1*x4^3, x1*x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4*x1*x4*x1*x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x3, x1*x2, x1, x1*x4^2*x1 ]
[ x4*x1*x4*x1*x4^3, x3, x1*x2, x1, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4^3, x3, x1*x2, x1*x4^2*x1, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x3, x1, x1*x4^2*x1, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x3, x2, x1*x4^2*x1, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x1*x2, x1, x1*x4^2*x1, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x1*x3, x1*x2, x1*x4^2*x1, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x1*x2*x3, x1, x1*x4^2*x1, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x1*x3, x2, x1*x4^2*x1, x1*x4*x1*x4^3 ]
[ x3, x1*x2, x1, x1*x4^2*x1, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x3, x1*x2, x1*x4^2*x1, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x3, x1, x1*x4^2*x1, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x3, x2, x1*x4^2*x1, x1*x4*x1*x4^3 ]
[ x1*x3*x4*x1*x4*x1*x4^3, x1*x2, x1, x1*x4^2*x1, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x1*x3, x1*x2, x1*x4^2*x1, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x1*x2*x3, x1, x1*x4^2*x1, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x1*x3, x2, x1*x4^2*x1, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x3, x1*x2, x1, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4^3, x3, x1*x2, x1, x1*x4^2*x1 ]
[ x1*x2*x4*x2*x4*x2*x4, x3, x4^2*x2, x2*x4^2*x2, x2*x4*x2*x4^3 ]
[ x1*x2*x4*x2*x4*x2*x4, x3, x1, x2*x4^2*x2, x2*x4*x2*x4^3 ]
[ x1*x2*x4*x2*x4*x2*x4, x3, x1*x4^2*x2, x2*x4^2*x2, x2*x4*x2*x4^3 ]
[ x1*x2*x4*x2*x4*x2*x4, x4^2*x2, x1, x2*x4^2*x2, x2*x4*x2*x4^3 ]
[ x1*x2*x4*x2*x4*x2*x4, x1*x3, x4^2*x2, x2*x4^2*x2, x2*x4*x2*x4^3 ]
[ x1*x2*x4*x2*x4*x2*x4, x3*x4^2*x2, x1, x2*x4^2*x2, x2*x4*x2*x4^3 ]
[ x1*x2*x4*x2*x4*x2*x4, x1*x3, x1*x4^2*x2, x2*x4^2*x2, x2*x4*x2*x4^3 ]
[ x3, x4^2*x2, x1, x2*x4^2*x2, x2*x4*x2*x4^3 ]
[ x2*x4*x2*x4*x2*x4, x3, x4^2*x2, x2*x4^2*x2, x2*x4*x2*x4^3 ]
[ x1*x4*x2*x4*x2*x4^3, x3, x1, x2*x4^2*x2, x2*x4*x2*x4^3 ]
[ x2*x4*x2*x4*x2*x4, x3, x1*x4^2*x2, x2*x4^2*x2, x2*x4*x2*x4^3 ]
[ x1*x2*x3*x4*x2*x4*x2*x4, x4^2*x2, x1, x2*x4^2*x2, x2*x4*x2*x4^3 ]
[ x2*x4*x2*x4*x2*x4, x1*x3, x4^2*x2, x2*x4^2*x2, x2*x4*x2*x4^3 ]
[ x1*x4*x2*x4*x2*x4^3, x3*x4^2*x2, x1, x2*x4^2*x2, x2*x4*x2*x4^3 ]
[ x2*x4*x2*x4*x2*x4, x1*x3, x1*x4^2*x2, x2*x4^2*x2, x2*x4*x2*x4^3 ]
[ x1*x2*x4*x2*x4*x2*x4, x3, x4^2*x2, x1, x2*x4*x2*x4 ]
[ x1*x2*x4*x2*x4*x2*x4, x3, x4^2*x2, x1, x2*x4^2*x2 ]
[ x2*x4^3*x2, x3, x4*x2*x4, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x2*x4^3*x2, x3, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x2*x4^3*x2, x3, x1*x4*x2*x4, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x2*x4^3*x2, x4*x2*x4, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x2*x4^3*x2, x1*x3, x4*x2*x4, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x2*x4^3*x2, x3*x4*x2*x4, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x2*x4^3*x2, x1*x3, x1*x4*x2*x4, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x3, x4*x2*x4, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x1*x2*x4^3*x2, x3, x4*x2*x4, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x2*x4*x2*x4*x2*x4^3, x3, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x1*x2*x4^3*x2, x3, x1*x4*x2*x4, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x2*x3*x4^3*x2, x4*x2*x4, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x1*x2*x4^3*x2, x1*x3, x4*x2*x4, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x2*x4*x2*x4*x2*x4^3, x3*x4*x2*x4, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x1*x2*x4^3*x2, x1*x3, x1*x4*x2*x4, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x2*x4^3*x2, x3, x4*x2*x4, x1, x2*x4^2*x2 ]
[ x2*x4^3*x2, x3, x4*x2*x4, x1, x2*x4*x2*x4 ]
[ x2*x3^4*x4^3, x2, x1, x3^2, x4^2 ]
[ x2*x3^4*x4^3, x2, x1*x3^2*x4^2*x3, x3^2, x4^2 ]
[ x2*x3^4*x4^3, x2, x3^2*x4^2*x3, x3^2, x4^2 ]
[ x2*x3^4*x4^3, x1, x1*x3^2*x4^2*x3, x3^2, x4^2 ]
[ x2*x3^4*x4^3, x1*x2*x3^2*x4^2*x3, x1, x3^2, x4^2 ]
[ x2*x3^4*x4^3, x1*x2, x1*x3^2*x4^2*x3, x3^2, x4^2 ]
[ x2*x3^4*x4^3, x1*x2*x3^2*x4^2*x3, x3^2*x4^2*x3, x3^2, x4^2 ]
[ x2, x1, x1*x3^2*x4^2*x3, x3^2, x4^2 ]
[ x1*x2*x3*x4, x2, x1, x3^2, x4^2 ]
[ x1*x2*x3^4*x4^3, x2, x1*x3^2*x4^2*x3, x3^2, x4^2 ]
[ x1*x2*x3*x4, x2, x3^2*x4^2*x3, x3^2, x4^2 ]
[ x3^4*x4^3, x1, x1*x3^2*x4^2*x3, x3^2, x4^2 ]
[ x1*x2*x3*x4, x1*x2*x3^2*x4^2*x3, x1, x3^2, x4^2 ]
[ x1*x2*x3^4*x4^3, x1*x2, x1*x3^2*x4^2*x3, x3^2, x4^2 ]
[ x1*x2*x3*x4, x1*x2*x3^2*x4^2*x3, x3^2*x4^2*x3, x3^2, x4^2 ]
[ x2*x3^4*x4^3, x2, x1, x1*x3^2*x4^2*x3, x3^2 ]
[ x2*x3^4*x4^3, x2, x1, x1*x3^2*x4^2*x3, x4^2 ]
[ x3*x4*x1*x4*x1*x4^3, x1*x2*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x3*x4*x1*x4*x1*x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x3*x4*x1*x4*x1*x4^3, x1*x2*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x3*x4*x1*x4*x1*x4^3, x1*x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x3*x4*x1*x4*x1*x4^3, x2*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x3*x4*x1*x4*x1*x4^3, x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x3*x4*x1*x4*x1*x4^3, x2*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x3, x1*x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x3*x4*x1*x4*x1*x4^3, x1*x2*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x3*x4*x1*x4*x1*x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x3*x4*x1*x4*x1*x4^3, x1*x2*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4*x1*x4*x1*x4^3, x1*x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x3*x4*x1*x4*x1*x4^3, x2*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x3*x4*x1*x4*x1*x4^3, x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x3*x4*x1*x4*x1*x4^3, x2*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x3*x4*x1*x4*x1*x4^3, x1*x2*x3, x1*x2, x1, x1*x4*x1*x4 ]
[ x3*x4*x1*x4*x1*x4^3, x1*x2*x3, x1*x2, x1, x1*x4^2*x1 ]
[ x4*x1*x2*x4*x1*x2*x4, x1*x3, x1*x2, x2*x4*x2*x4, x4^2 ]
[ x4*x1*x2*x4*x1*x2*x4, x1*x3, x1, x2*x4*x2*x4, x4^2 ]
[ x4*x1*x2*x4*x1*x2*x4, x1*x3, x2, x2*x4*x2*x4, x4^2 ]
[ x4*x1*x2*x4*x1*x2*x4, x1*x2, x1, x2*x4*x2*x4, x4^2 ]
[ x4*x1*x2*x4*x1*x2*x4, x3, x1*x2, x2*x4*x2*x4, x4^2 ]
[ x4*x1*x2*x4*x1*x2*x4, x2*x3, x1, x2*x4*x2*x4, x4^2 ]
[ x4*x1*x2*x4*x1*x2*x4, x3, x2, x2*x4*x2*x4, x4^2 ]
[ x1*x3, x1*x2, x1, x2*x4*x2*x4, x4^2 ]
[ x1*x4*x1*x2*x4*x1*x2*x4, x1*x3, x1*x2, x2*x4*x2*x4, x4^2 ]
[ x1*x2*x4*x1*x2*x4*x1*x2*x4, x1*x3, x1, x2*x4*x2*x4, x4^2 ]
[ x1*x4*x1*x2*x4*x1*x2*x4, x1*x3, x2, x2*x4*x2*x4, x4^2 ]
[ x1*x3*x4*x1*x2*x4*x1*x2*x4, x1*x2, x1, x2*x4*x2*x4, x4^2 ]
[ x1*x4*x1*x2*x4*x1*x2*x4, x3, x1*x2, x2*x4*x2*x4, x4^2 ]
[ x1*x2*x4*x1*x2*x4*x1*x2*x4, x2*x3, x1, x2*x4*x2*x4, x4^2 ]
[ x1*x4*x1*x2*x4*x1*x2*x4, x3, x2, x2*x4*x2*x4, x4^2 ]
[ x4*x1*x2*x4*x1*x2*x4, x1*x3, x1*x2, x1, x2*x4*x2*x4 ]
[ x4*x1*x2*x4*x1*x2*x4, x1*x3, x1*x2, x1, x4^2 ]
[ x1*x4*x1*x4*x1*x4, x3^3, x1*x2, x1*x4*x1*x4, x3^2 ]
[ x1*x4*x1*x4*x1*x4, x3^3, x1, x1*x4*x1*x4, x3^2 ]
[ x1*x4*x1*x4*x1*x4, x3^3, x2, x1*x4*x1*x4, x3^2 ]
[ x1*x4*x1*x4*x1*x4, x1*x2, x1, x1*x4*x1*x4, x3^2 ]
[ x1*x4*x1*x4*x1*x4, x1*x3^3, x1*x2, x1*x4*x1*x4, x3^2 ]
[ x1*x4*x1*x4*x1*x4, x1*x2*x3^3, x1, x1*x4*x1*x4, x3^2 ]
[ x1*x4*x1*x4*x1*x4, x1*x3^3, x2, x1*x4*x1*x4, x3^2 ]
[ x3^3, x1*x2, x1, x1*x4*x1*x4, x3^2 ]
[ x4*x1*x4*x1*x4, x3^3, x1*x2, x1*x4*x1*x4, x3^2 ]
[ x2*x4*x1*x4*x1*x4, x3^3, x1, x1*x4*x1*x4, x3^2 ]
[ x4*x1*x4*x1*x4, x3^3, x2, x1*x4*x1*x4, x3^2 ]
[ x1*x3^3*x4*x1*x4*x1*x4, x1*x2, x1, x1*x4*x1*x4, x3^2 ]
[ x4*x1*x4*x1*x4, x1*x3^3, x1*x2, x1*x4*x1*x4, x3^2 ]
[ x2*x4*x1*x4*x1*x4, x1*x2*x3^3, x1, x1*x4*x1*x4, x3^2 ]
[ x4*x1*x4*x1*x4, x1*x3^3, x2, x1*x4*x1*x4, x3^2 ]
[ x1*x4*x1*x4*x1*x4, x3^3, x1*x2, x1, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x3^3, x1*x2, x1, x3^2 ]
[ x1*x4*x1*x4*x1*x4, x3^3, x1*x2, x1, x1*x3^2*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x3^3, x1*x2, x1, x3^2*x1*x4*x1*x4 ]
[ x3*x4*x1*x4*x1*x4, x2^2*x3, x2^3, x1*x4*x1*x4, x2^2 ]
[ x3*x4*x1*x4*x1*x4, x2^2*x3, x2^2*x1, x1*x4*x1*x4, x2^2 ]
[ x3*x4*x1*x4*x1*x4, x2^2*x3, x1*x2, x1*x4*x1*x4, x2^2 ]
[ x3*x4*x1*x4*x1*x4, x2^3, x2^2*x1, x1*x4*x1*x4, x2^2 ]
[ x3*x4*x1*x4*x1*x4, x1*x3, x2^3, x1*x4*x1*x4, x2^2 ]
[ x3*x4*x1*x4*x1*x4, x1*x2*x1*x3, x2^2*x1, x1*x4*x1*x4, x2^2 ]
[ x3*x4*x1*x4*x1*x4, x1*x3, x1*x2, x1*x4*x1*x4, x2^2 ]
[ x2^2*x3, x2^3, x2^2*x1, x1*x4*x1*x4, x2^2 ]
[ x2^2*x1*x3*x4*x1*x4*x1*x4, x2^2*x3, x2^3, x1*x4*x1*x4, x2^2 ]
[ x2^3*x3*x4*x1*x4*x1*x4, x2^2*x3, x2^2*x1, x1*x4*x1*x4, x2^2 ]
[ x2^2*x1*x3*x4*x1*x4*x1*x4, x2^2*x3, x1*x2, x1*x4*x1*x4, x2^2 ]
[ x2^2*x4*x1*x4*x1*x4, x2^3, x2^2*x1, x1*x4*x1*x4, x2^2 ]
[ x2^2*x1*x3*x4*x1*x4*x1*x4, x1*x3, x2^3, x1*x4*x1*x4, x2^2 ]
[ x2^3*x3*x4*x1*x4*x1*x4, x1*x2*x1*x3, x2^2*x1, x1*x4*x1*x4, x2^2 ]
[ x2^2*x1*x3*x4*x1*x4*x1*x4, x1*x3, x1*x2, x1*x4*x1*x4, x2^2 ]
[ x3*x4*x1*x4*x1*x4, x2^2*x3, x2^3, x2^2*x1, x1*x4*x1*x4 ]
[ x3*x4*x1*x4*x1*x4, x2^2*x3, x2^3, x2^2*x1, x2^2 ]
[ x3*x4*x1*x4*x1*x4, x2^2*x3, x2^3, x2^2*x1, x1*x2^2*x4*x1*x4 ]
[ x3*x4*x1*x4*x1*x4, x2^2*x3, x2^3, x2^2*x1, x2^2*x1*x4*x1*x4 ]
[ x1*x2*x4^3, x3^3, x2, x3^2, x4^2 ]
[ x1*x2*x4^3, x3^3, x1, x3^2, x4^2 ]
[ x1*x2*x4^3, x3^3, x1*x2, x3^2, x4^2 ]
[ x1*x2*x4^3, x2, x1, x3^2, x4^2 ]
[ x1*x2*x4^3, x1*x3^3, x2, x3^2, x4^2 ]
[ x1*x2*x4^3, x2*x3^3, x1, x3^2, x4^2 ]
[ x1*x2*x4^3, x1*x3^3, x1*x2, x3^2, x4^2 ]
[ x3^3, x2, x1, x3^2, x4^2 ]
[ x2*x4^3, x3^3, x2, x3^2, x4^2 ]
[ x1*x4^3, x3^3, x1, x3^2, x4^2 ]
[ x2*x4^3, x3^3, x1*x2, x3^2, x4^2 ]
[ x1*x2*x3^3*x4^3, x2, x1, x3^2, x4^2 ]
[ x2*x4^3, x1*x3^3, x2, x3^2, x4^2 ]
[ x1*x4^3, x2*x3^3, x1, x3^2, x4^2 ]
[ x2*x4^3, x1*x3^3, x1*x2, x3^2, x4^2 ]
[ x1*x2*x4^3, x3^3, x2, x1, x3^2 ]
[ x1*x2*x4^3, x3^3, x2, x1, x4^2 ]
[ x1*x2*x4^3, x3^3, x2, x1, x3^2*x1*x4^2*x1 ]
[ x1*x2*x4^3, x3^3, x2, x1, x3^2*x4^2 ]
[ x4*x1*x4*x1*x4, x3, x2, x3*x4*x3*x4, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x3, x1, x3*x4*x3*x4, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x3, x1*x2, x3*x4*x3*x4, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x2, x1, x3*x4*x3*x4, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x1*x3, x2, x3*x4*x3*x4, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x2*x3, x1, x3*x4*x3*x4, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x1*x3, x1*x2, x3*x4*x3*x4, x1*x4*x1*x4 ]
[ x3, x2, x1, x3*x4*x3*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x3, x2, x3*x4*x3*x4, x1*x4*x1*x4 ]
[ x2*x4*x1*x4*x1*x4, x3, x1, x3*x4*x3*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x3, x1*x2, x3*x4*x3*x4, x1*x4*x1*x4 ]
[ x3*x4*x1*x4*x1*x4, x2, x1, x3*x4*x3*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x1*x3, x2, x3*x4*x3*x4, x1*x4*x1*x4 ]
[ x2*x4*x1*x4*x1*x4, x2*x3, x1, x3*x4*x3*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x1*x3, x1*x2, x3*x4*x3*x4, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4, x3, x2, x1, x3*x4*x3*x4 ]
[ x4*x1*x4*x1*x4, x3, x2, x1, x3*x4*x1*x3*x4*x1 ]
[ x4*x1*x4*x1*x4^3, x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x3, x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x3*x4*x1*x4*x1*x4^3, x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x3, x2, x1, x1*x4*x1*x4 ]
[ x4*x1*x4*x1*x4^3, x3, x2, x1, x1*x4^2*x1 ]
[ x4*x1*x2*x4*x1*x2*x4, x3, x1*x2, x2*x4*x2*x4, x4^2 ]
[ x4*x1*x2*x4*x1*x2*x4, x3, x1, x2*x4*x2*x4, x4^2 ]
[ x4*x1*x2*x4*x1*x2*x4, x3, x2, x2*x4*x2*x4, x4^2 ]
[ x4*x1*x2*x4*x1*x2*x4, x1*x2, x1, x2*x4*x2*x4, x4^2 ]
[ x4*x1*x2*x4*x1*x2*x4, x1*x3, x1*x2, x2*x4*x2*x4, x4^2 ]
[ x4*x1*x2*x4*x1*x2*x4, x1*x2*x3, x1, x2*x4*x2*x4, x4^2 ]
[ x4*x1*x2*x4*x1*x2*x4, x1*x3, x2, x2*x4*x2*x4, x4^2 ]
[ x3, x1*x2, x1, x2*x4*x2*x4, x4^2 ]
[ x1*x4*x1*x2*x4*x1*x2*x4, x3, x1*x2, x2*x4*x2*x4, x4^2 ]
[ x1*x2*x4*x1*x2*x4*x1*x2*x4, x3, x1, x2*x4*x2*x4, x4^2 ]
[ x1*x4*x1*x2*x4*x1*x2*x4, x3, x2, x2*x4*x2*x4, x4^2 ]
[ x3*x4*x1*x2*x4*x1*x2*x4, x1*x2, x1, x2*x4*x2*x4, x4^2 ]
[ x1*x4*x1*x2*x4*x1*x2*x4, x1*x3, x1*x2, x2*x4*x2*x4, x4^2 ]
[ x1*x2*x4*x1*x2*x4*x1*x2*x4, x1*x2*x3, x1, x2*x4*x2*x4, x4^2 ]
[ x1*x4*x1*x2*x4*x1*x2*x4, x1*x3, x2, x2*x4*x2*x4, x4^2 ]
[ x4*x1*x2*x4*x1*x2*x4, x3, x1*x2, x1, x2*x4*x2*x4 ]
[ x4*x1*x2*x4*x1*x2*x4, x3, x1*x2, x1, x4^2 ]
[ x4, x3*x1*x3*x1*x3^3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x4, x3*x1*x3*x1*x3^3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x4, x3*x1*x3*x1*x3^3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x4, x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x4, x1*x3*x1*x3*x1*x3^3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x4, x2*x3*x1*x3*x1*x3^3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x4, x1*x3*x1*x3*x1*x3^3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3*x1*x3^3, x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x4, x3*x1*x3*x1*x3^3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x2*x4, x3*x1*x3*x1*x3^3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x4, x3*x1*x3*x1*x3^3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3*x1*x3^3*x4, x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x4, x1*x3*x1*x3*x1*x3^3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x2*x4, x2*x3*x1*x3*x1*x3^3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x4, x1*x3*x1*x3*x1*x3^3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x4, x3*x1*x3*x1*x3^3, x2, x1, x1*x3^2*x1 ]
[ x4, x3*x1*x3*x1*x3^3, x2, x1, x1*x3*x1*x3 ]
[ x2*x4*x1*x4*x1*x4^3, x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x1*x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, 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 ]
[ x1*x2*x4*x1*x4*x1*x4^3, x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4*x1*x4*x1*x4^3, x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x3*x4*x1*x4*x1*x4^3, x1*x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4*x1*x4*x1*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4*x1*x4*x1*x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x3, x1*x2, x1, x1*x4^2*x1 ]
[ x2*x4*x1*x4*x1*x4^3, x3, x1*x2, x1, x1*x4*x1*x4 ]
[ x1*x2*x4^3, x3*x4*x1*x4*x1, x2*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4^3, x3*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4^3, x3*x4*x1*x4*x1, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4^3, x2*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4^3, x1*x3, x2*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4^3, x2*x3, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x3*x4*x1*x4*x1, x2*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x3*x4*x1*x4*x1, x2*x4*x1*x4*x1, x1*x4*x1*x4,
x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x3*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4,
x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x3*x4*x1*x4*x1, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x3*x4*x1*x4*x1*x4^3, x2*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4,
x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x1*x3, x2*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x2*x3, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4^3, x3*x4*x1*x4*x1, x2*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4 ]
[ x1*x2*x4^3, x3*x4*x1*x4*x1, x2*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4^2*x1 ]
[ x2*x4*x1*x4*x1*x4^3, x1*x2*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x1*x2*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x2*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x1*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, 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 ]
[ x1*x2*x4*x1*x4*x1*x4^3, x1*x2*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4*x1*x4*x1*x4^3, x1*x2*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x3*x4*x1*x4*x1*x4^3, x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4*x1*x4*x1*x4^3, x2*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x1*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4*x1*x4*x1*x4^3, x2*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x1*x2*x3, x2, x1, x1*x4*x1*x4 ]
[ x2*x4*x1*x4*x1*x4^3, x1*x2*x3, x2, x1, x1*x4^2*x1 ]
[ x1*x4*x1*x4*x1*x4, x1*x3^3, x2, x1*x4*x1*x4, x3^2 ]
[ x1*x4*x1*x4*x1*x4, x1*x3^3, x1, x1*x4*x1*x4, x3^2 ]
[ x1*x4*x1*x4*x1*x4, x1*x3^3, x1*x2, x1*x4*x1*x4, x3^2 ]
[ x1*x4*x1*x4*x1*x4, x2, x1, x1*x4*x1*x4, x3^2 ]
[ x1*x4*x1*x4*x1*x4, x3^3, x2, x1*x4*x1*x4, x3^2 ]
[ x1*x4*x1*x4*x1*x4, x1*x2*x3^3, x1, x1*x4*x1*x4, x3^2 ]
[ x1*x4*x1*x4*x1*x4, x3^3, x1*x2, x1*x4*x1*x4, x3^2 ]
[ x1*x3^3, x2, x1, x1*x4*x1*x4, x3^2 ]
[ x4*x1*x4*x1*x4, x1*x3^3, x2, x1*x4*x1*x4, x3^2 ]
[ x1*x2*x4*x1*x4*x1*x4, x1*x3^3, x1, x1*x4*x1*x4, x3^2 ]
[ x4*x1*x4*x1*x4, x1*x3^3, x1*x2, x1*x4*x1*x4, x3^2 ]
[ x3^3*x4*x1*x4*x1*x4, x2, x1, x1*x4*x1*x4, x3^2 ]
[ x4*x1*x4*x1*x4, x3^3, x2, x1*x4*x1*x4, x3^2 ]
[ x1*x2*x4*x1*x4*x1*x4, x1*x2*x3^3, x1, x1*x4*x1*x4, x3^2 ]
[ x4*x1*x4*x1*x4, x3^3, x1*x2, x1*x4*x1*x4, x3^2 ]
[ x1*x4*x1*x4*x1*x4, x1*x3^3, x2, x1, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x1*x3^3, x2, x1, x3^2 ]
[ x1*x4*x1*x4*x1*x4, x1*x3^3, x2, x1, x1*x3^2*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x1*x3^3, x2, x1, x3^2*x1*x4*x1*x4 ]
[ x4^3, x3^3, x2, x3^2, x4^2 ]
[ x4^3, x3^3, x4^2*x1, x3^2, x4^2 ]
[ x4^3, x3^3, x2*x4^2*x1, x3^2, x4^2 ]
[ x4^3, x2, x4^2*x1, x3^2, x4^2 ]
[ x4^3, x3^3*x4^2*x1, x2, x3^2, x4^2 ]
[ x4^3, x2*x3^3, x4^2*x1, x3^2, x4^2 ]
[ x4^3, x3^3*x4^2*x1, x2*x4^2*x1, x3^2, x4^2 ]
[ x3^3, x2, x4^2*x1, x3^2, x4^2 ]
[ x1*x4, x3^3, x2, x3^2, x4^2 ]
[ x2*x4^3, x3^3, x4^2*x1, x3^2, x4^2 ]
[ x1*x4, x3^3, x2*x4^2*x1, x3^2, x4^2 ]
[ x3^3*x4^3, x2, x4^2*x1, x3^2, x4^2 ]
[ x1*x4, x3^3*x4^2*x1, x2, x3^2, x4^2 ]
[ x2*x4^3, x2*x3^3, x4^2*x1, x3^2, x4^2 ]
[ x1*x4, x3^3*x4^2*x1, x2*x4^2*x1, x3^2, x4^2 ]
[ x4^3, x3^3, x2, x4^2*x1, x3^2 ]
[ x4^3, x3^3, x2, x4^2*x1, x4^2 ]
[ x4^3, x3^3, x2, x4^2*x1, x3^2*x1*x4^2*x1 ]
[ x4^3, x3^3, x2, x4^2*x1, x3^2*x4^2 ]
[ x1*x2*x3*x4^3, x1*x3*x4*x2*x4*x2, x2*x4*x2*x4*x2, x2*x4*x2*x4,
x2*x4*x2*x4^3 ]
[ x1*x2*x3*x4^3, x1*x3*x4*x2*x4*x2, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x1*x2*x3*x4^3, x1*x3*x4*x2*x4*x2, x1*x2*x4*x2*x4*x2, x2*x4*x2*x4,
x2*x4*x2*x4^3 ]
[ x1*x2*x3*x4^3, x2*x4*x2*x4*x2, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x1*x2*x3*x4^3, x3*x4*x2*x4*x2, x2*x4*x2*x4*x2, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x1*x2*x3*x4^3, x1*x2*x3, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x1*x2*x3*x4^3, x3*x4*x2*x4*x2, x1*x2*x4*x2*x4*x2, x2*x4*x2*x4,
x2*x4*x2*x4^3 ]
[ x1*x3*x4*x2*x4*x2, x2*x4*x2*x4*x2, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x2*x3*x4^3, x1*x3*x4*x2*x4*x2, x2*x4*x2*x4*x2, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x1*x3*x4*x2*x4*x2*x4^3, x1*x3*x4*x2*x4*x2, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x2*x3*x4^3, x1*x3*x4*x2*x4*x2, x1*x2*x4*x2*x4*x2, x2*x4*x2*x4,
x2*x4*x2*x4^3 ]
[ x2*x4*x2*x4*x2*x4^3, x2*x4*x2*x4*x2, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x2*x3*x4^3, x3*x4*x2*x4*x2, x2*x4*x2*x4*x2, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x1*x3*x4*x2*x4*x2*x4^3, x1*x2*x3, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x2*x3*x4^3, x3*x4*x2*x4*x2, x1*x2*x4*x2*x4*x2, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x1*x2*x3*x4^3, x1*x3*x4*x2*x4*x2, x2*x4*x2*x4*x2, x1, x2*x4^2*x2 ]
[ x1*x2*x3*x4^3, x1*x3*x4*x2*x4*x2, x2*x4*x2*x4*x2, x1, x2*x4*x2*x4 ]
[ x2*x3^2*x4^3, x2, x1, x3^2, x4^2 ]
[ x2*x3^2*x4^3, x2, x1*x3^3*x4^2, x3^2, x4^2 ]
[ x2*x3^2*x4^3, x2, x3^3*x4^2, x3^2, x4^2 ]
[ x2*x3^2*x4^3, x1, x1*x3^3*x4^2, x3^2, x4^2 ]
[ x2*x3^2*x4^3, x1*x2*x3^3*x4^2, x1, x3^2, x4^2 ]
[ x2*x3^2*x4^3, x1*x2, x1*x3^3*x4^2, x3^2, x4^2 ]
[ x2*x3^2*x4^3, x1*x2*x3^3*x4^2, x3^3*x4^2, x3^2, x4^2 ]
[ x2, x1, x1*x3^3*x4^2, x3^2, x4^2 ]
[ x1*x2*x4*x3, x2, x1, x3^2, x4^2 ]
[ x1*x2*x3^2*x4^3, x2, x1*x3^3*x4^2, x3^2, x4^2 ]
[ x1*x2*x4*x3, x2, x3^3*x4^2, x3^2, x4^2 ]
[ x3^2*x4^3, x1, x1*x3^3*x4^2, x3^2, x4^2 ]
[ x1*x2*x4*x3, x1*x2*x3^3*x4^2, x1, x3^2, x4^2 ]
[ x1*x2*x3^2*x4^3, x1*x2, x1*x3^3*x4^2, x3^2, x4^2 ]
[ x1*x2*x4*x3, x1*x2*x3^3*x4^2, x3^3*x4^2, x3^2, x4^2 ]
[ x2*x3^2*x4^3, x2, x1, x1*x3^3*x4^2, x3^2 ]
[ x2*x3^2*x4^3, x2, x1, x1*x3^3*x4^2, x4^2 ]
[ x1*x2*x4^3, x3*x4*x1*x4*x1, x2*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4^3, x3*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4^3, x3*x4*x1*x4*x1, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4^3, x2*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4^3, x1*x3, x2*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4^3, x2*x3, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x3*x4*x1*x4*x1, x2*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x3*x4*x1*x4*x1, x2*x4*x1*x4*x1, x1*x4*x1*x4,
x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x3*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4,
x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x3*x4*x1*x4*x1, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x3*x4*x1*x4*x1*x4^3, x2*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4,
x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x1*x3, x2*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x2*x3, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4^3, x3*x4*x1*x4*x1, x2*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4 ]
[ x1*x2*x4^3, x3*x4*x1*x4*x1, x2*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4^2*x1 ]
[ x2*x3^2*x4^3, x2, x1, x3^2, x4^2 ]
[ x2*x3^2*x4^3, x2, x1*x3^3*x4^2, x3^2, x4^2 ]
[ x2*x3^2*x4^3, x2, x3^3*x4^2, x3^2, x4^2 ]
[ x2*x3^2*x4^3, x1, x1*x3^3*x4^2, x3^2, x4^2 ]
[ x2*x3^2*x4^3, x1*x2*x3^3*x4^2, x1, x3^2, x4^2 ]
[ x2*x3^2*x4^3, x1*x2, x1*x3^3*x4^2, x3^2, x4^2 ]
[ x2*x3^2*x4^3, x1*x2*x3^3*x4^2, x3^3*x4^2, x3^2, x4^2 ]
[ x2, x1, x1*x3^3*x4^2, x3^2, x4^2 ]
[ x1*x2*x4*x3, x2, x1, x3^2, x4^2 ]
[ x1*x2*x3^2*x4^3, x2, x1*x3^3*x4^2, x3^2, x4^2 ]
[ x1*x2*x4*x3, x2, x3^3*x4^2, x3^2, x4^2 ]
[ x3^2*x4^3, x1, x1*x3^3*x4^2, x3^2, x4^2 ]
[ x1*x2*x4*x3, x1*x2*x3^3*x4^2, x1, x3^2, x4^2 ]
[ x1*x2*x3^2*x4^3, x1*x2, x1*x3^3*x4^2, x3^2, x4^2 ]
[ x1*x2*x4*x3, x1*x2*x3^3*x4^2, x3^3*x4^2, x3^2, x4^2 ]
[ x2*x3^2*x4^3, x2, x1, x1*x3^3*x4^2, x4^2 ]
[ x2*x3^2*x4^3, x2, x1, x1*x3^3*x4^2, x3^2 ]
[ x2*x3^2*x4^3, x2, x1, x3^2, x4^2 ]
[ x2*x3^2*x4^3, x2, x1*x3^3*x4^2, x3^2, x4^2 ]
[ x2*x3^2*x4^3, x2, x3^3*x4^2, x3^2, x4^2 ]
[ x2*x3^2*x4^3, x1, x1*x3^3*x4^2, x3^2, x4^2 ]
[ x2*x3^2*x4^3, x1*x2*x3^3*x4^2, x1, x3^2, x4^2 ]
[ x2*x3^2*x4^3, x1*x2, x1*x3^3*x4^2, x3^2, x4^2 ]
[ x2*x3^2*x4^3, x1*x2*x3^3*x4^2, x3^3*x4^2, x3^2, x4^2 ]
[ x2, x1, x1*x3^3*x4^2, x3^2, x4^2 ]
[ x1*x2*x4*x3, x2, x1, x3^2, x4^2 ]
[ x1*x2*x3^2*x4^3, x2, x1*x3^3*x4^2, x3^2, x4^2 ]
[ x1*x2*x4*x3, x2, x3^3*x4^2, x3^2, x4^2 ]
[ x3^2*x4^3, x1, x1*x3^3*x4^2, x3^2, x4^2 ]
[ x1*x2*x4*x3, x1*x2*x3^3*x4^2, x1, x3^2, x4^2 ]
[ x1*x2*x3^2*x4^3, x1*x2, x1*x3^3*x4^2, x3^2, x4^2 ]
[ x1*x2*x4*x3, x1*x2*x3^3*x4^2, x3^3*x4^2, x3^2, x4^2 ]
[ x2*x3^2*x4^3, x2, x1, x1*x3^3*x4^2, x3^2 ]
[ x2*x3^2*x4^3, x2, x1, x1*x3^3*x4^2, x4^2 ]
[ x4*x1*x2*x4*x1*x2*x4, x2*x3*x4^2*x1, x1*x2*x4^2*x1, x4^2, x1*x2*x4*x1*x2*x4
]
[ x4*x1*x2*x4*x1*x2*x4, x2*x3*x4^2*x1, x4^2*x1, x4^2, x1*x2*x4*x1*x2*x4 ]
[ x4*x1*x2*x4*x1*x2*x4, x2*x3*x4^2*x1, x1*x2, x4^2, x1*x2*x4*x1*x2*x4 ]
[ x4*x1*x2*x4*x1*x2*x4, x1*x2*x4^2*x1, x4^2*x1, x4^2, x1*x2*x4*x1*x2*x4 ]
[ x4*x1*x2*x4*x1*x2*x4, x2*x3, x1*x2*x4^2*x1, x4^2, x1*x2*x4*x1*x2*x4 ]
[ x4*x1*x2*x4*x1*x2*x4, x1*x3, x4^2*x1, x4^2, x1*x2*x4*x1*x2*x4 ]
[ x4*x1*x2*x4*x1*x2*x4, x2*x3, x1*x2, x4^2, x1*x2*x4*x1*x2*x4 ]
[ x2*x3*x4^2*x1, x1*x2*x4^2*x1, x4^2*x1, x4^2, x1*x2*x4*x1*x2*x4 ]
[ x1*x4*x1*x4*x1*x4, x2*x3*x4^2*x1, x1*x2*x4^2*x1, x4^2, x1*x2*x4*x1*x2*x4 ]
[ x2*x4*x1*x4*x1*x4, x2*x3*x4^2*x1, x4^2*x1, x4^2, x1*x2*x4*x1*x2*x4 ]
[ x1*x4*x1*x4*x1*x4, x2*x3*x4^2*x1, x1*x2, x4^2, x1*x2*x4*x1*x2*x4 ]
[ x1*x2*x3*x4*x1*x4*x1*x4, x1*x2*x4^2*x1, x4^2*x1, x4^2, x1*x2*x4*x1*x2*x4 ]
[ x1*x4*x1*x4*x1*x4, x2*x3, x1*x2*x4^2*x1, x4^2, x1*x2*x4*x1*x2*x4 ]
[ x2*x4*x1*x4*x1*x4, x1*x3, x4^2*x1, x4^2, x1*x2*x4*x1*x2*x4 ]
[ x1*x4*x1*x4*x1*x4, x2*x3, x1*x2, x4^2, x1*x2*x4*x1*x2*x4 ]
[ x4*x1*x2*x4*x1*x2*x4, x2*x3*x4^2*x1, x1*x2*x4^2*x1, x4^2*x1, x4*x1*x4*x1 ]
[ x4*x1*x2*x4*x1*x2*x4, x2*x3*x4^2*x1, x1*x2*x4^2*x1, x4^2*x1, x4^2 ]
[ x2*x3^2*x4^3, x2, x1, x3^2, x4^2 ]
[ x2*x3^2*x4^3, x2, x1*x3^3*x4^2, x3^2, x4^2 ]
[ x2*x3^2*x4^3, x2, x3^3*x4^2, x3^2, x4^2 ]
[ x2*x3^2*x4^3, x1, x1*x3^3*x4^2, x3^2, x4^2 ]
[ x2*x3^2*x4^3, x1*x2*x3^3*x4^2, x1, x3^2, x4^2 ]
[ x2*x3^2*x4^3, x1*x2, x1*x3^3*x4^2, x3^2, x4^2 ]
[ x2*x3^2*x4^3, x1*x2*x3^3*x4^2, x3^3*x4^2, x3^2, x4^2 ]
[ x2, x1, x1*x3^3*x4^2, x3^2, x4^2 ]
[ x1*x2*x4*x3, x2, x1, x3^2, x4^2 ]
[ x1*x2*x3^2*x4^3, x2, x1*x3^3*x4^2, x3^2, x4^2 ]
[ x1*x2*x4*x3, x2, x3^3*x4^2, x3^2, x4^2 ]
[ x3^2*x4^3, x1, x1*x3^3*x4^2, x3^2, x4^2 ]
[ x1*x2*x4*x3, x1*x2*x3^3*x4^2, x1, x3^2, x4^2 ]
[ x1*x2*x3^2*x4^3, x1*x2, x1*x3^3*x4^2, x3^2, x4^2 ]
[ x1*x2*x4*x3, x1*x2*x3^3*x4^2, x3^3*x4^2, x3^2, x4^2 ]
[ x2*x3^2*x4^3, x2, x1, x1*x3^3*x4^2, x4^2 ]
[ x2*x3^2*x4^3, x2, x1, x1*x3^3*x4^2, x3^2 ]
[ x2*x3^2*x4^3, x2, x1, x3^2, x4^2 ]
[ x2*x3^2*x4^3, x2, x1*x3^3*x4^2, x3^2, x4^2 ]
[ x2*x3^2*x4^3, x2, x3^3*x4^2, x3^2, x4^2 ]
[ x2*x3^2*x4^3, x1, x1*x3^3*x4^2, x3^2, x4^2 ]
[ x2*x3^2*x4^3, x1*x2*x3^3*x4^2, x1, x3^2, x4^2 ]
[ x2*x3^2*x4^3, x1*x2, x1*x3^3*x4^2, x3^2, x4^2 ]
[ x2*x3^2*x4^3, x1*x2*x3^3*x4^2, x3^3*x4^2, x3^2, x4^2 ]
[ x2, x1, x1*x3^3*x4^2, x3^2, x4^2 ]
[ x1*x2*x4*x3, x2, x1, x3^2, x4^2 ]
[ x1*x2*x3^2*x4^3, x2, x1*x3^3*x4^2, x3^2, x4^2 ]
[ x1*x2*x4*x3, x2, x3^3*x4^2, x3^2, x4^2 ]
[ x3^2*x4^3, x1, x1*x3^3*x4^2, x3^2, x4^2 ]
[ x1*x2*x4*x3, x1*x2*x3^3*x4^2, x1, x3^2, x4^2 ]
[ x1*x2*x3^2*x4^3, x1*x2, x1*x3^3*x4^2, x3^2, x4^2 ]
[ x1*x2*x4*x3, x1*x2*x3^3*x4^2, x3^3*x4^2, x3^2, x4^2 ]
[ x2*x3^2*x4^3, x2, x1, x1*x3^3*x4^2, x3^2 ]
[ x2*x3^2*x4^3, x2, x1, x1*x3^3*x4^2, x4^2 ]
[ x1*x2*x4*x2*x4*x2*x4, x3, x4^2*x2, x2*x4^2*x2, x2*x4*x2*x4^3 ]
[ x1*x2*x4*x2*x4*x2*x4, x3, x1, x2*x4^2*x2, x2*x4*x2*x4^3 ]
[ x1*x2*x4*x2*x4*x2*x4, x3, x1*x4^2*x2, x2*x4^2*x2, x2*x4*x2*x4^3 ]
[ x1*x2*x4*x2*x4*x2*x4, x4^2*x2, x1, x2*x4^2*x2, x2*x4*x2*x4^3 ]
[ x1*x2*x4*x2*x4*x2*x4, x1*x3, x4^2*x2, x2*x4^2*x2, x2*x4*x2*x4^3 ]
[ x1*x2*x4*x2*x4*x2*x4, x3*x4^2*x2, x1, x2*x4^2*x2, x2*x4*x2*x4^3 ]
[ x1*x2*x4*x2*x4*x2*x4, x1*x3, x1*x4^2*x2, x2*x4^2*x2, x2*x4*x2*x4^3 ]
[ x3, x4^2*x2, x1, x2*x4^2*x2, x2*x4*x2*x4^3 ]
[ x2*x4*x2*x4*x2*x4, x3, x4^2*x2, x2*x4^2*x2, x2*x4*x2*x4^3 ]
[ x1*x4*x2*x4*x2*x4^3, x3, x1, x2*x4^2*x2, x2*x4*x2*x4^3 ]
[ x2*x4*x2*x4*x2*x4, x3, x1*x4^2*x2, x2*x4^2*x2, x2*x4*x2*x4^3 ]
[ x1*x2*x3*x4*x2*x4*x2*x4, x4^2*x2, x1, x2*x4^2*x2, x2*x4*x2*x4^3 ]
[ x2*x4*x2*x4*x2*x4, x1*x3, x4^2*x2, x2*x4^2*x2, x2*x4*x2*x4^3 ]
[ x1*x4*x2*x4*x2*x4^3, x3*x4^2*x2, x1, x2*x4^2*x2, x2*x4*x2*x4^3 ]
[ x2*x4*x2*x4*x2*x4, x1*x3, x1*x4^2*x2, x2*x4^2*x2, x2*x4*x2*x4^3 ]
[ x1*x2*x4*x2*x4*x2*x4, x3, x4^2*x2, x1, x2*x4^2*x2 ]
[ x1*x2*x4*x2*x4*x2*x4, x3, x4^2*x2, x1, x2*x4*x2*x4 ]
[ x4*x1*x4*x1*x4, x1*x3*x4^2, x1*x2, x4^2, x3*x4*x3*x4 ]
[ x4*x1*x4*x1*x4, x1*x3*x4^2, x2, x4^2, x3*x4*x3*x4 ]
[ x4*x1*x4*x1*x4, x1*x3*x4^2, x1, x4^2, x3*x4*x3*x4 ]
[ x4*x1*x4*x1*x4, x1*x2, x2, x4^2, x3*x4*x3*x4 ]
[ x4*x1*x4*x1*x4, x1*x2*x3*x4^2, x1*x2, x4^2, x3*x4*x3*x4 ]
[ x4*x1*x4*x1*x4, x2*x3*x4^2, x2, x4^2, x3*x4*x3*x4 ]
[ x4*x1*x4*x1*x4, x1*x2*x3*x4^2, x1, x4^2, x3*x4*x3*x4 ]
[ x1*x3*x4^2, x1*x2, x2, x4^2, x3*x4*x3*x4 ]
[ x2*x4*x1*x4*x1*x4, x1*x3*x4^2, x1*x2, x4^2, x3*x4*x3*x4 ]
[ x1*x2*x4*x1*x4*x1*x4, x1*x3*x4^2, x2, x4^2, x3*x4*x3*x4 ]
[ x2*x4*x1*x4*x1*x4, x1*x3*x4^2, x1, x4^2, x3*x4*x3*x4 ]
[ x4*x1*x4*x3*x4, x1*x2, x2, x4^2, x3*x4*x3*x4 ]
[ x2*x4*x1*x4*x1*x4, x1*x2*x3*x4^2, x1*x2, x4^2, x3*x4*x3*x4 ]
[ x1*x2*x4*x1*x4*x1*x4, x2*x3*x4^2, x2, x4^2, x3*x4*x3*x4 ]
[ x2*x4*x1*x4*x1*x4, x1*x2*x3*x4^2, x1, x4^2, x3*x4*x3*x4 ]
[ x4*x1*x4*x1*x4, x1*x3*x4^2, x1*x2, x2, x4^2 ]
[ x4*x1*x4*x1*x4, x1*x3*x4^2, x1*x2, x2, x3*x4*x3*x4 ]
[ x1*x4*x1*x4*x1*x4^3, x1*x2*x3, x2, x1*x4^2*x1, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x1*x2*x3, x1, x1*x4^2*x1, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x1*x2*x3, x1*x2, x1*x4^2*x1, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x2, x1, x1*x4^2*x1, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x2*x3, x2, x1*x4^2*x1, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x1*x3, x1, x1*x4^2*x1, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x2*x3, x1*x2, x1*x4^2*x1, x1*x4*x1*x4^3 ]
[ x1*x2*x3, x2, x1, x1*x4^2*x1, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x1*x2*x3, x2, x1*x4^2*x1, x1*x4*x1*x4^3 ]
[ x1*x2*x4*x1*x4*x1*x4^3, x1*x2*x3, x1, x1*x4^2*x1, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x1*x2*x3, x1*x2, x1*x4^2*x1, x1*x4*x1*x4^3 ]
[ x2*x3*x4*x1*x4*x1*x4^3, x2, x1, x1*x4^2*x1, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x2*x3, x2, x1*x4^2*x1, x1*x4*x1*x4^3 ]
[ x1*x2*x4*x1*x4*x1*x4^3, x1*x3, x1, x1*x4^2*x1, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x2*x3, x1*x2, x1*x4^2*x1, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x1*x2*x3, x2, x1, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4^3, x1*x2*x3, x2, x1, x1*x4^2*x1 ]
[ x2*x4^3*x2, x3, x4*x2*x4, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x2*x4^3*x2, x3, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x2*x4^3*x2, x3, x1*x4*x2*x4, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x2*x4^3*x2, x4*x2*x4, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x2*x4^3*x2, x1*x3, x4*x2*x4, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x2*x4^3*x2, x3*x4*x2*x4, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x2*x4^3*x2, x1*x3, x1*x4*x2*x4, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x3, x4*x2*x4, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x1*x2*x4^3*x2, x3, x4*x2*x4, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x2*x4*x2*x4*x2*x4^3, x3, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x1*x2*x4^3*x2, x3, x1*x4*x2*x4, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x2*x3*x4^3*x2, x4*x2*x4, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x1*x2*x4^3*x2, x1*x3, x4*x2*x4, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x2*x4*x2*x4*x2*x4^3, x3*x4*x2*x4, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x1*x2*x4^3*x2, x1*x3, x1*x4*x2*x4, x2*x4*x2*x4, x2*x4*x2*x4^3 ]
[ x2*x4^3*x2, x3, x4*x2*x4, x1, x2*x4*x2*x4 ]
[ x2*x4^3*x2, x3, x4*x2*x4, x1, x2*x4^2*x2 ]
[ x4^3, x2*x3*x4*x3*x4*x3, x1, x3*x4*x3*x4, x3*x4*x3*x4^3 ]
[ x4^3, x2*x3*x4*x3*x4*x3, x2, x3*x4*x3*x4, x3*x4*x3*x4^3 ]
[ x4^3, x2*x3*x4*x3*x4*x3, x1*x2, x3*x4*x3*x4, x3*x4*x3*x4^3 ]
[ x4^3, x1, x2, x3*x4*x3*x4, x3*x4*x3*x4^3 ]
[ x4^3, x3*x4*x3*x4*x3, x1, x3*x4*x3*x4, x3*x4*x3*x4^3 ]
[ x4^3, x1*x2*x3*x4*x3*x4*x3, x2, x3*x4*x3*x4, x3*x4*x3*x4^3 ]
[ x4^3, x3*x4*x3*x4*x3, x1*x2, x3*x4*x3*x4, x3*x4*x3*x4^3 ]
[ x2*x3*x4*x3*x4*x3, x1, x2, x3*x4*x3*x4, x3*x4*x3*x4^3 ]
[ x2*x4^3, x2*x3*x4*x3*x4*x3, x1, x3*x4*x3*x4, x3*x4*x3*x4^3 ]
[ x1*x4^3, x2*x3*x4*x3*x4*x3, x2, x3*x4*x3*x4, x3*x4*x3*x4^3 ]
[ x2*x4^3, x2*x3*x4*x3*x4*x3, x1*x2, x3*x4*x3*x4, x3*x4*x3*x4^3 ]
[ x2*x3*x4*x3*x4*x3*x4^3, x1, x2, x3*x4*x3*x4, x3*x4*x3*x4^3 ]
[ x2*x4^3, x3*x4*x3*x4*x3, x1, x3*x4*x3*x4, x3*x4*x3*x4^3 ]
[ x1*x4^3, x1*x2*x3*x4*x3*x4*x3, x2, x3*x4*x3*x4, x3*x4*x3*x4^3 ]
[ x2*x4^3, x3*x4*x3*x4*x3, x1*x2, x3*x4*x3*x4, x3*x4*x3*x4^3 ]
[ x4^3, x2*x3*x4*x3*x4*x3, x1, x2, x3*x4*x3*x4 ]
[ x4^3, x2*x3*x4*x3*x4*x3, x1, x2, x3*x4^2*x3 ]
[ x4*x1*x4*x1*x4^3, x1*x2*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x1*x2*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x2*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x1*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, 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 ]
[ x1*x4*x1*x4*x1*x4^3, x1*x2*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x1*x2*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x3*x4*x1*x4*x1*x4^3, x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x2*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x1*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x2*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x4*x1*x4*x1*x4^3, x1*x2*x3, x2, x1, x1*x4^2*x1 ]
[ x4*x1*x4*x1*x4^3, x1*x2*x3, x2, x1, x1*x4*x1*x4 ]
[ x2*x4*x1*x4*x1*x4^3, x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x1*x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, 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 ]
[ x1*x2*x4*x1*x4*x1*x4^3, x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4*x1*x4*x1*x4^3, x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x3*x4*x1*x4*x1*x4^3, x1*x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4*x1*x4*x1*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4*x1*x4*x1*x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x3, x1*x2, x1, x1*x4^2*x1 ]
[ x2*x4*x1*x4*x1*x4^3, x3, x1*x2, x1, x1*x4*x1*x4 ]
[ x1*x2*x4^3, x3*x4*x1*x4*x1, x2*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4^3, x3*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4^3, x3*x4*x1*x4*x1, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4^3, x2*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4^3, x1*x3, x2*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4^3, x2*x3, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x3*x4*x1*x4*x1, x2*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x3*x4*x1*x4*x1, x2*x4*x1*x4*x1, x1*x4*x1*x4,
x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x3*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4,
x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x3*x4*x1*x4*x1, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x3*x4*x1*x4*x1*x4^3, x2*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4,
x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x1*x3, x2*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x2*x3, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4^3, x3*x4*x1*x4*x1, x2*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4^2*x1 ]
[ x1*x2*x4^3, x3*x4*x1*x4*x1, x2*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4 ]
[ x2*x4*x1*x4*x1*x4^3, x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x1*x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, 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 ]
[ x1*x2*x4*x1*x4*x1*x4^3, x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4*x1*x4*x1*x4^3, x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x3*x4*x1*x4*x1*x4^3, x1*x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4*x1*x4*x1*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4*x1*x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x1*x2*x4*x1*x4*x1*x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ]
[ x2*x4*x1*x4*x1*x4^3, x3, x1*x2, x1, x1*x4^2*x1 ]
[ x2*x4*x1*x4*x1*x4^3, x3, x1*x2, x1, x1*x4*x1*x4 ]
[ x2^4, x1 ]
[ x2^3, x2^4 ]
[ x2^3, x1 ]
[ x2^3, x1^2*x2^4 ]
[ x2^3, x1*x2^4 ]
[ x2^2, x1 ]
[ x2^3, x2^2 ]
[ x2^3, x1 ]
[ x2^3, x1^2*x2^2 ]
[ x2^3, x1*x2^2 ]
[ x2^2, x1^2 ]
[ x2^3, x1^2 ]
[ x2^3, x2^2 ]
[ x2^2, x1^2 ]
[ x1^2*x2^3, x1^2 ]
[ x1^2*x2^3, x2^2 ]
[ x2^2, x1 ]
[ x2^3, x2^2 ]
[ x2^3, x1 ]
[ x2^3, x1^2*x2^2 ]
[ x2^3, x1*x2^2 ]
[ x1*x2*x1, x1*x3*x1 ]
[ x1, x1*x2*x1 ]
[ x1, x1*x3*x1 ]
[ x1, x1*x2*x1*x3 ]
[ x1, x1*x2*x3*x1 ]
[ x3^3, x2, x3^4 ]
[ x3^3, x1, x3^4 ]
[ x3^3, x1*x2, x3^4 ]
[ x2, x1, x3^4 ]
[ x1*x3^3, x2, x3^4 ]
[ x2*x3^3, x1, x3^4 ]
[ x1*x3^3, x1*x2, x3^4 ]
[ x3^3, x2, x1 ]
[ x3^3, x2, x3^4 ]
[ x3^3, x1, x3^4 ]
[ x3^3, x1*x2, x3^4 ]
[ x2, x1, x3^4 ]
[ x1*x3^3, x2, x3^4 ]
[ x2*x3^3, x1, x3^4 ]
[ x1*x3^3, x1*x2, x3^4 ]
[ x3^3, x2, x1 ]
[ x3^3, x2, x3^4 ]
[ x3^3, x1, x3^4 ]
[ x3^3, x1*x2, x3^4 ]
[ x2, x1, x3^4 ]
[ x1*x3^3, x2, x3^4 ]
[ x2*x3^3, x1, x3^4 ]
[ x1*x3^3, x1*x2, x3^4 ]
[ x3^3, x2, x1 ]
[ x3^3, x2, x3^4 ]
[ x3^3, x1, x3^4 ]
[ x3^3, x1*x2, x3^4 ]
[ x2, x1, x3^4 ]
[ x1*x3^3, x2, x3^4 ]
[ x2*x3^3, x1, x3^4 ]
[ x1*x3^3, x1*x2, x3^4 ]
[ x3^3, x2, x1 ]
[ x3^3, x2, x3^4 ]
[ x3^3, x1, x3^4 ]
[ x3^3, x1*x2, x3^4 ]
[ x2, x1, x3^4 ]
[ x1*x3^3, x2, x3^4 ]
[ x2*x3^3, x1, x3^4 ]
[ x1*x3^3, x1*x2, x3^4 ]
[ x3^3, x2, x1 ]
[ x1*x3^3, x1*x2, x3^4 ]
[ x1*x3^3, x1, x3^4 ]
[ x1*x3^3, x2, x3^4 ]
[ x1*x2, x1, x3^4 ]
[ x3^3, x1*x2, x3^4 ]
[ x2*x3^3, x1, x3^4 ]
[ x3^3, x2, x3^4 ]
[ x1*x3^3, x1*x2, x1 ]
[ x1*x3^3, x2, x3^2 ]
[ x1*x3^3, x1, x3^2 ]
[ x1*x3^3, x1*x2, x3^2 ]
[ x2, x1, x3^2 ]
[ x3^3, x2, x3^2 ]
[ x1*x2*x3^3, x1, x3^2 ]
[ x3^3, x1*x2, x3^2 ]
[ x1*x3^3, x2, x1 ]
[ x3^3, x1*x2, x3^2 ]
[ x3^3, x1, x3^2 ]
[ x3^3, x2, x3^2 ]
[ x1*x2, x1, x3^2 ]
[ x1*x3^3, x1*x2, x3^2 ]
[ x1*x2*x3^3, x1, x3^2 ]
[ x1*x3^3, x2, x3^2 ]
[ x3^3, x1*x2, x1 ]
[ x1*x3^3, x2, x3^2 ]
[ x1*x3^3, x1, x3^2 ]
[ x1*x3^3, x1*x2, x3^2 ]
[ x2, x1, x3^2 ]
[ x3^3, x2, x3^2 ]
[ x1*x2*x3^3, x1, x3^2 ]
[ x3^3, x1*x2, x3^2 ]
[ x1*x3^3, x2, x1 ]
[ x3^3, x2, x3^2 ]
[ x3^3, x1, x3^2 ]
[ x3^3, x1*x2, x3^2 ]
[ x2, x1, x3^2 ]
[ x1*x3^3, x2, x3^2 ]
[ x2*x3^3, x1, x3^2 ]
[ x1*x3^3, x1*x2, x3^2 ]
[ x3^3, x2, x1 ]
[ x2*x3^3, x2, x3^2 ]
[ x2*x3^3, x1, x3^2 ]
[ x2*x3^3, x1*x2, x3^2 ]
[ x2, x1, x3^2 ]
[ x1*x2*x3^3, x2, x3^2 ]
[ x3^3, x1, x3^2 ]
[ x1*x2*x3^3, x1*x2, x3^2 ]
[ x2*x3^3, x2, x1 ]
[ x1*x2*x3^3, x2, x3^2 ]
[ x1*x2*x3^3, x1, x3^2 ]
[ x1*x2*x3^3, x1*x2, x3^2 ]
[ x2, x1, x3^2 ]
[ x2*x3^3, x2, x3^2 ]
[ x1*x3^3, x1, x3^2 ]
[ x2*x3^3, x1*x2, x3^2 ]
[ x1*x2*x3^3, x2, x1 ]
[ x3^3, x1*x2, x3^2 ]
[ x3^3, x1, x3^2 ]
[ x3^3, x2, x3^2 ]
[ x1*x2, x1, x3^2 ]
[ x1*x3^3, x1*x2, x3^2 ]
[ x1*x2*x3^3, x1, x3^2 ]
[ x1*x3^3, x2, x3^2 ]
[ x3^3, x1*x2, x1 ]
[ x1*x3^3, x2, x3^2 ]
[ x1*x3^3, x1, x3^2 ]
[ x1*x3^3, x1*x2, x3^2 ]
[ x2, x1, x3^2 ]
[ x3^3, x2, x3^2 ]
[ x1*x2*x3^3, x1, x3^2 ]
[ x3^3, x1*x2, x3^2 ]
[ x1*x3^3, x2, x1 ]
[ x3^3, x2, x3^2 ]
[ x3^3, x1*x3^2, x3^2 ]
[ x3^3, x1*x2*x3^2, x3^2 ]
[ x2, x1*x3^2, x3^2 ]
[ x3*x1, x2, x3^2 ]
[ x2*x3^3, x1*x3^2, x3^2 ]
[ x3*x1, x1*x2*x3^2, x3^2 ]
[ x3^3, x2, x1*x3^2 ]
[ x3^3, x2, x3^2 ]
[ x3^3, x1*x3^2, x3^2 ]
[ x3^3, x1*x2*x3^2, x3^2 ]
[ x2, x1*x3^2, x3^2 ]
[ x3*x1, x2, x3^2 ]
[ x2*x3^3, x1*x3^2, x3^2 ]
[ x3*x1, x1*x2*x3^2, x3^2 ]
[ x3^3, x2, x1*x3^2 ]
[ x1*x3^3, x2, x3^2 ]
[ x1*x3^3, x1, x3^2 ]
[ x1*x3^3, x1*x2, x3^2 ]
[ x2, x1, x3^2 ]
[ x3^3, x2, x3^2 ]
[ x1*x2*x3^3, x1, x3^2 ]
[ x3^3, x1*x2, x3^2 ]
[ x1*x3^3, x2, x1 ]
[ x3*x2*x3*x2*x3, x1*x2, x2*x3*x2*x3 ]
[ x3*x2*x3*x2*x3, x1, x2*x3*x2*x3 ]
[ x3*x2*x3*x2*x3, x2, x2*x3*x2*x3 ]
[ x1*x2, x1, x2*x3*x2*x3 ]
[ x1*x3*x2*x3*x2*x3, x1*x2, x2*x3*x2*x3 ]
[ x1*x2*x3*x2*x3*x2*x3, x1, x2*x3*x2*x3 ]
[ x1*x3*x2*x3*x2*x3, x2, x2*x3*x2*x3 ]
[ x3*x2*x3*x2*x3, x1*x2, x1 ]
[ x3^3, x2, x3^2 ]
[ x3^3, x1, x3^2 ]
[ x3^3, x1*x2, x3^2 ]
[ x2, x1, x3^2 ]
[ x1*x3^3, x2, x3^2 ]
[ x2*x3^3, x1, x3^2 ]
[ x1*x3^3, x1*x2, x3^2 ]
[ x3^3, x2, x1 ]
[ x3, x2*x1*x2*x1*x2, x1*x2*x1*x2 ]
[ x3, x1, x1*x2*x1*x2 ]
[ x3, x1*x2*x1*x2*x1*x2, x1*x2*x1*x2 ]
[ x2*x1*x2*x1*x2, x1, x1*x2*x1*x2 ]
[ x1*x3, x2*x1*x2*x1*x2, x1*x2*x1*x2 ]
[ x2*x1*x2*x1*x2*x3, x1, x1*x2*x1*x2 ]
[ x1*x3, x1*x2*x1*x2*x1*x2, x1*x2*x1*x2 ]
[ x3, x2*x1*x2*x1*x2, x1 ]
[ x5^3, x2*x4, x1*x3, x2, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ]
[ x5^3, x2*x4, x1*x3, x1, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ]
[ x5^3, x2*x4, x1*x3, x1*x2, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ]
[ x5^3, x2*x4, x2, x1, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ]
[ x5^3, x2*x4, x3, x2, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ]
[ x5^3, x2*x4, x1*x2*x3, x1, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ]
[ x5^3, x2*x4, x3, x1*x2, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ]
[ x5^3, x1*x3, x2, x1, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ]
[ x5^3, x1*x2*x4, x1*x3, x2, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ]
[ x5^3, x4, x1*x3, x1, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ]
[ x5^3, x1*x2*x4, x1*x3, x1*x2, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ]
[ x5^3, x1*x2*x3*x4, x2, x1, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ]
[ x5^3, x1*x2*x4, x3, x2, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ]
[ x5^3, x4, x1*x2*x3, x1, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ]
[ x5^3, x1*x2*x4, x3, x1*x2, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ]
[ x2*x4, x1*x3, x2, x1, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ]
[ x1*x5^3, x2*x4, x1*x3, x2, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ]
[ x2*x5^3, x2*x4, x1*x3, x1, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ]
[ x1*x5^3, x2*x4, x1*x3, x1*x2, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ]
[ x1*x3*x5^3, x2*x4, x2, x1, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ]
[ x1*x5^3, x2*x4, x3, x2, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ]
[ x2*x5^3, x2*x4, x1*x2*x3, x1, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ]
[ x1*x5^3, x2*x4, x3, x1*x2, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ]
[ x2*x4*x5^3, x1*x3, x2, x1, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ]
[ x1*x5^3, x1*x2*x4, x1*x3, x2, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ]
[ x2*x5^3, x4, x1*x3, x1, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ]
[ x1*x5^3, x1*x2*x4, x1*x3, x1*x2, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ]
[ x1*x3*x5^3, x1*x2*x3*x4, x2, x1, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ]
[ x1*x5^3, x1*x2*x4, x3, x2, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ]
[ x2*x5^3, x4, x1*x2*x3, x1, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ]
[ x1*x5^3, x1*x2*x4, x3, x1*x2, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ]
[ x5^3, x2*x4, x1*x3, x2, x1, x1*x5^2*x1*x5^4 ]
[ x5^3, x2*x4, x1*x3, x2, x1, x1*x5*x1*x5 ]
[ x3*x4^4*x5^3, x3, x1, x2, x4^2, x5^2 ]
[ x3*x4^4*x5^3, x3, x1, x1*x4^3, x4^2, x5^2 ]
[ x3*x4^4*x5^3, x3, x1, x1*x2*x4^3, x4^2, x5^2 ]
[ x3*x4^4*x5^3, x3, x2, x1*x4^3, x4^2, x5^2 ]
[ x3*x4^4*x5^3, x3, x4^3, x2, x4^2, x5^2 ]
[ x3*x4^4*x5^3, x3, x1*x2, x1*x4^3, x4^2, x5^2 ]
[ x3*x4^4*x5^3, x3, x4^3, x1*x2*x4^3, x4^2, x5^2 ]
[ x3*x4^4*x5^3, x1, x2, x1*x4^3, x4^2, x5^2 ]
[ x3*x4^4*x5^3, x1*x3*x4^3, x1, x2, x4^2, x5^2 ]
[ x3*x4^4*x5^3, x2*x3, x1, x1*x4^3, x4^2, x5^2 ]
[ x3*x4^4*x5^3, x1*x3*x4^3, x1, x1*x2*x4^3, x4^2, x5^2 ]
[ x3*x4^4*x5^3, x1*x3, x2, x1*x4^3, x4^2, x5^2 ]
[ x3*x4^4*x5^3, x1*x3*x4^3, x4^3, x2, x4^2, x5^2 ]
[ x3*x4^4*x5^3, x2*x3, x1*x2, x1*x4^3, x4^2, x5^2 ]
[ x3*x4^4*x5^3, x1*x3*x4^3, x4^3, x1*x2*x4^3, x4^2, x5^2 ]
[ x3, x1, x2, x1*x4^3, x4^2, x5^2 ]
[ x1*x3*x4*x5^3, x3, x1, x2, x4^2, x5^2 ]
[ x2*x3*x4^4*x5^3, x3, x1, x1*x4^3, x4^2, x5^2 ]
[ x1*x3*x4*x5^3, x3, x1, x1*x2*x4^3, x4^2, x5^2 ]
[ x1*x3*x4^4*x5^3, x3, x2, x1*x4^3, x4^2, x5^2 ]
[ x1*x3*x4*x5^3, x3, x4^3, x2, x4^2, x5^2 ]
[ x2*x3*x4^4*x5^3, x3, x1*x2, x1*x4^3, x4^2, x5^2 ]
[ x1*x3*x4*x5^3, x3, x4^3, x1*x2*x4^3, x4^2, x5^2 ]
[ x4^4*x5^3, x1, x2, x1*x4^3, x4^2, x5^2 ]
[ x1*x3*x4*x5^3, x1*x3*x4^3, x1, x2, x4^2, x5^2 ]
[ x2*x3*x4^4*x5^3, x2*x3, x1, x1*x4^3, x4^2, x5^2 ]
[ x1*x3*x4*x5^3, x1*x3*x4^3, x1, x1*x2*x4^3, x4^2, x5^2 ]
[ x1*x3*x4^4*x5^3, x1*x3, x2, x1*x4^3, x4^2, x5^2 ]
[ x1*x3*x4*x5^3, x1*x3*x4^3, x4^3, x2, x4^2, x5^2 ]
[ x2*x3*x4^4*x5^3, x2*x3, x1*x2, x1*x4^3, x4^2, x5^2 ]
[ x1*x3*x4*x5^3, x1*x3*x4^3, x4^3, x1*x2*x4^3, x4^2, x5^2 ]
[ x3*x4^4*x5^3, x3, x1, x2, x1*x4^3, x4^2 ]
[ x3*x4^4*x5^3, x3, x1, x2, x1*x4^3, x5^2 ]
[ x5^3, x2*x5*x1*x5*x4, x1*x4*x5*x1*x4*x5*x1, x2, x1*x5*x1*x5,
x1*x4*x5*x1*x4*x5 ]
[ x5^3, x2*x5*x1*x5*x4, x1*x4*x5*x1*x4*x5*x1, x3, x1*x5*x1*x5,
x1*x4*x5*x1*x4*x5 ]
[ x5^3, x2*x5*x1*x5*x4, x1*x4*x5*x1*x4*x5*x1, x2*x3, x1*x5*x1*x5,
x1*x4*x5*x1*x4*x5 ]
[ x5^3, x2*x5*x1*x5*x4, x2, x3, x1*x5*x1*x5, x1*x4*x5*x1*x4*x5 ]
[ x5^3, x2*x5*x1*x5*x4, x1*x3*x4*x5*x1*x4*x5*x1, x2, x1*x5*x1*x5,
x1*x4*x5*x1*x4*x5 ]
[ x5^3, x2*x5*x1*x5*x4, x1*x2*x4*x5*x1*x4*x5*x1, x3, x1*x5*x1*x5,
x1*x4*x5*x1*x4*x5 ]
[ x5^3, x2*x5*x1*x5*x4, x1*x3*x4*x5*x1*x4*x5*x1, x2*x3, x1*x5*x1*x5,
x1*x4*x5*x1*x4*x5 ]
[ x5^3, x1*x4*x5*x1*x4*x5*x1, x2, x3, x1*x5*x1*x5, x1*x4*x5*x1*x4*x5 ]
[ x5^3, x2*x3*x5*x1*x5*x4, x1*x4*x5*x1*x4*x5*x1, x2, x1*x5*x1*x5,
x1*x4*x5*x1*x4*x5 ]
[ x5^3, x5*x1*x5*x4, x1*x4*x5*x1*x4*x5*x1, x3, x1*x5*x1*x5, x1*x4*x5*x1*x4*x5
]
[ x5^3, x2*x3*x5*x1*x5*x4, x1*x4*x5*x1*x4*x5*x1, x2*x3, x1*x5*x1*x5,
x1*x4*x5*x1*x4*x5 ]
[ x5^3, x2*x5^2*x4, x2, x3, x1*x5*x1*x5, x1*x4*x5*x1*x4*x5 ]
[ x5^3, x2*x3*x5*x1*x5*x4, x1*x3*x4*x5*x1*x4*x5*x1, x2, x1*x5*x1*x5,
x1*x4*x5*x1*x4*x5 ]
[ x5^3, x5*x1*x5*x4, x1*x2*x4*x5*x1*x4*x5*x1, x3, x1*x5*x1*x5,
x1*x4*x5*x1*x4*x5 ]
[ x5^3, x2*x3*x5*x1*x5*x4, x1*x3*x4*x5*x1*x4*x5*x1, x2*x3, x1*x5*x1*x5,
x1*x4*x5*x1*x4*x5 ]
[ x2*x5*x1*x5*x4, x1*x4*x5*x1*x4*x5*x1, x2, x3, x1*x5*x1*x5,
x1*x4*x5*x1*x4*x5 ]
[ x3*x5^3, x2*x5*x1*x5*x4, x1*x4*x5*x1*x4*x5*x1, x2, x1*x5*x1*x5,
x1*x4*x5*x1*x4*x5 ]
[ x2*x5^3, x2*x5*x1*x5*x4, x1*x4*x5*x1*x4*x5*x1, x3, x1*x5*x1*x5,
x1*x4*x5*x1*x4*x5 ]
[ x3*x5^3, x2*x5*x1*x5*x4, x1*x4*x5*x1*x4*x5*x1, x2*x3, x1*x5*x1*x5,
x1*x4*x5*x1*x4*x5 ]
[ x5*x1*x5^2, x2*x5*x1*x5*x4, x2, x3, x1*x5*x1*x5, x1*x4*x5*x1*x4*x5 ]
[ x3*x5^3, x2*x5*x1*x5*x4, x1*x3*x4*x5*x1*x4*x5*x1, x2, x1*x5*x1*x5,
x1*x4*x5*x1*x4*x5 ]
[ x2*x5^3, x2*x5*x1*x5*x4, x1*x2*x4*x5*x1*x4*x5*x1, x3, x1*x5*x1*x5,
x1*x4*x5*x1*x4*x5 ]
[ x3*x5^3, x2*x5*x1*x5*x4, x1*x3*x4*x5*x1*x4*x5*x1, x2*x3, x1*x5*x1*x5,
x1*x4*x5*x1*x4*x5 ]
[ x2*x5*x1*x4*x5^2, x1*x4*x5*x1*x4*x5*x1, x2, x3, x1*x5*x1*x5,
x1*x4*x5*x1*x4*x5 ]
[ x3*x5^3, x2*x3*x5*x1*x5*x4, x1*x4*x5*x1*x4*x5*x1, x2, x1*x5*x1*x5,
x1*x4*x5*x1*x4*x5 ]
[ x2*x5^3, x5*x1*x5*x4, x1*x4*x5*x1*x4*x5*x1, x3, x1*x5*x1*x5,
x1*x4*x5*x1*x4*x5 ]
[ x3*x5^3, x2*x3*x5*x1*x5*x4, x1*x4*x5*x1*x4*x5*x1, x2*x3, x1*x5*x1*x5,
x1*x4*x5*x1*x4*x5 ]
[ x5*x1*x5^2, x2*x5^2*x4, x2, x3, x1*x5*x1*x5, x1*x4*x5*x1*x4*x5 ]
[ x3*x5^3, x2*x3*x5*x1*x5*x4, x1*x3*x4*x5*x1*x4*x5*x1, x2, x1*x5*x1*x5,
x1*x4*x5*x1*x4*x5 ]
[ x2*x5^3, x5*x1*x5*x4, x1*x2*x4*x5*x1*x4*x5*x1, x3, x1*x5*x1*x5,
x1*x4*x5*x1*x4*x5 ]
[ x3*x5^3, x2*x3*x5*x1*x5*x4, x1*x3*x4*x5*x1*x4*x5*x1, x2*x3, x1*x5*x1*x5,
x1*x4*x5*x1*x4*x5 ]
[ x5^3, x2*x5*x1*x5*x4, x1*x4*x5*x1*x4*x5*x1, x2, x3, x1*x5*x1*x5 ]
[ x5^3, x2*x5*x1*x5*x4, x1*x4*x5*x1*x4*x5*x1, x2, x3, x1*x4*x5*x1*x4*x5 ]
[ x1*x2*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x4^2, x1*x2*x4^2, x5^2, x4^2 ]
[ x1*x2*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x4^2, x3, x5^2, x4^2 ]
[ x1*x2*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x4^2, x1*x2*x3*x4^2, x5^2, x4^2 ]
[ x1*x2*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x2*x4^2, x3, x5^2, x4^2 ]
[ x1*x2*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x3*x4^2, x1*x2*x4^2, x5^2, x4^2 ]
[ x1*x2*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x2, x3, x5^2, x4^2 ]
[ x1*x2*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x3*x4^2, x1*x2*x3*x4^2, x5^2,
x4^2 ]
[ x1*x2*x4^2*x1*x5^3, x1*x4^2, x1*x2*x4^2, x3, x5^2, x4^2 ]
[ x1*x2*x4^2*x1*x5^3, x2*x3*x4^2*x1*x5^2*x4, x1*x4^2, x1*x2*x4^2, x5^2, x4^2 ]
[ x1*x2*x4^2*x1*x5^3, x4^2*x5^2*x4, x1*x4^2, x3, x5^2, x4^2 ]
[ x1*x2*x4^2*x1*x5^3, x2*x3*x4^2*x1*x5^2*x4, x1*x4^2, x1*x2*x3*x4^2, x5^2,
x4^2 ]
[ x1*x2*x4^2*x1*x5^3, x2*x4^2*x5^2*x4, x1*x2*x4^2, x3, x5^2, x4^2 ]
[ x1*x2*x4^2*x1*x5^3, x2*x3*x4^2*x1*x5^2*x4, x1*x3*x4^2, x1*x2*x4^2, x5^2,
x4^2 ]
[ x1*x2*x4^2*x1*x5^3, x4^2*x5^2*x4, x2, x3, x5^2, x4^2 ]
[ x1*x2*x4^2*x1*x5^3, x2*x3*x4^2*x1*x5^2*x4, x1*x3*x4^2, x1*x2*x3*x4^2, x5^2,
x4^2 ]
[ x2*x4^2*x1*x5^2*x4, x1*x4^2, x1*x2*x4^2, x3, x5^2, x4^2 ]
[ x1*x2*x3*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x4^2, x1*x2*x4^2, x5^2, x4^2 ]
[ x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x4^2, x3, x5^2, x4^2 ]
[ x1*x2*x3*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x4^2, x1*x2*x3*x4^2, x5^2,
x4^2 ]
[ x1*x2*x5^3, x2*x4^2*x1*x5^2*x4, x1*x2*x4^2, x3, x5^2, x4^2 ]
[ x1*x2*x3*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x3*x4^2, x1*x2*x4^2, x5^2,
x4^2 ]
[ x1*x5^3, x2*x4^2*x1*x5^2*x4, x2, x3, x5^2, x4^2 ]
[ x1*x2*x3*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x3*x4^2, x1*x2*x3*x4^2, x5^2,
x4^2 ]
[ x1*x4^3*x5, x1*x4^2, x1*x2*x4^2, x3, x5^2, x4^2 ]
[ x1*x2*x3*x4^2*x1*x5^3, x2*x3*x4^2*x1*x5^2*x4, x1*x4^2, x1*x2*x4^2, x5^2,
x4^2 ]
[ x1*x5^3, x4^2*x5^2*x4, x1*x4^2, x3, x5^2, x4^2 ]
[ x1*x2*x3*x4^2*x1*x5^3, x2*x3*x4^2*x1*x5^2*x4, x1*x4^2, x1*x2*x3*x4^2, x5^2,
x4^2 ]
[ x1*x2*x5^3, x2*x4^2*x5^2*x4, x1*x2*x4^2, x3, x5^2, x4^2 ]
[ x1*x2*x3*x4^2*x1*x5^3, x2*x3*x4^2*x1*x5^2*x4, x1*x3*x4^2, x1*x2*x4^2, x5^2,
x4^2 ]
[ x1*x5^3, x4^2*x5^2*x4, x2, x3, x5^2, x4^2 ]
[ x1*x2*x3*x4^2*x1*x5^3, x2*x3*x4^2*x1*x5^2*x4, x1*x3*x4^2, x1*x2*x3*x4^2,
x5^2, x4^2 ]
[ x1*x2*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x4^2, x1*x2*x4^2, x3, x5^2 ]
[ x1*x2*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x4^2, x1*x2*x4^2, x3, x4^2 ]
[ x2*x5*x1*x5*x1*x5^3, x4, x3, x1*x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x2*x5*x1*x5*x1*x5^3, x4, x3, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x2*x5*x1*x5*x1*x5^3, x4, x3, x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x2*x5*x1*x5*x1*x5^3, x4, x1*x2, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x2*x5*x1*x5*x1*x5^3, x4, x1*x3, x1*x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x2*x5*x1*x5*x1*x5^3, x4, x1*x2*x3, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x2*x5*x1*x5*x1*x5^3, x4, x1*x3, x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x2*x5*x1*x5*x1*x5^3, x3, x1*x2, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x2*x5*x1*x5*x1*x5^3, x1*x4, x3, x1*x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x2*x5*x1*x5*x1*x5^3, x1*x2*x4, x3, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x2*x5*x1*x5*x1*x5^3, x1*x4, x3, x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x2*x5*x1*x5*x1*x5^3, x3*x4, x1*x2, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x2*x5*x1*x5*x1*x5^3, x1*x4, x1*x3, x1*x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x2*x5*x1*x5*x1*x5^3, x1*x2*x4, x1*x2*x3, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x2*x5*x1*x5*x1*x5^3, x1*x4, x1*x3, x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x4, x3, x1*x2, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x1*x2*x5*x1*x5*x1*x5^3, x4, x3, x1*x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x1*x5*x1*x5*x1*x5^3, x4, x3, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x1*x2*x5*x1*x5*x1*x5^3, x4, x3, x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x2*x3*x5*x1*x5*x1*x5^3, x4, x1*x2, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x1*x2*x5*x1*x5*x1*x5^3, x4, x1*x3, x1*x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x1*x5*x1*x5*x1*x5^3, x4, x1*x2*x3, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x1*x2*x5*x1*x5*x1*x5^3, x4, x1*x3, x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x2*x4*x5*x1*x5*x1*x5^3, x3, x1*x2, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x1*x2*x5*x1*x5*x1*x5^3, x1*x4, x3, x1*x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x1*x5*x1*x5*x1*x5^3, x1*x2*x4, x3, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x1*x2*x5*x1*x5*x1*x5^3, x1*x4, x3, x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x2*x3*x5*x1*x5*x1*x5^3, x3*x4, x1*x2, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x1*x2*x5*x1*x5*x1*x5^3, x1*x4, x1*x3, x1*x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x1*x5*x1*x5*x1*x5^3, x1*x2*x4, x1*x2*x3, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x1*x2*x5*x1*x5*x1*x5^3, x1*x4, x1*x3, x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x2*x5*x1*x5*x1*x5^3, x4, x3, x1*x2, x1, x1*x5*x1*x5 ]
[ x2*x5*x1*x5*x1*x5^3, x4, x3, x1*x2, x1, x1*x5^2*x1 ]
[ x1*x5*x1*x5*x1*x5, x4^3, x3, x1*x2, x1*x5*x1*x5, x4^2 ]
[ x1*x5*x1*x5*x1*x5, x4^3, x3, x1, x1*x5*x1*x5, x4^2 ]
[ x1*x5*x1*x5*x1*x5, x4^3, x3, x2, x1*x5*x1*x5, x4^2 ]
[ x1*x5*x1*x5*x1*x5, x4^3, x1*x2, x1, x1*x5*x1*x5, x4^2 ]
[ x1*x5*x1*x5*x1*x5, x4^3, x1*x3, x1*x2, x1*x5*x1*x5, x4^2 ]
[ x1*x5*x1*x5*x1*x5, x4^3, x1*x2*x3, x1, x1*x5*x1*x5, x4^2 ]
[ x1*x5*x1*x5*x1*x5, x4^3, x1*x3, x2, x1*x5*x1*x5, x4^2 ]
[ x1*x5*x1*x5*x1*x5, x3, x1*x2, x1, x1*x5*x1*x5, x4^2 ]
[ x1*x5*x1*x5*x1*x5, x1*x4^3, x3, x1*x2, x1*x5*x1*x5, x4^2 ]
[ x1*x5*x1*x5*x1*x5, x1*x2*x4^3, x3, x1, x1*x5*x1*x5, x4^2 ]
[ x1*x5*x1*x5*x1*x5, x1*x4^3, x3, x2, x1*x5*x1*x5, x4^2 ]
[ x1*x5*x1*x5*x1*x5, x3*x4^3, x1*x2, x1, x1*x5*x1*x5, x4^2 ]
[ x1*x5*x1*x5*x1*x5, x1*x4^3, x1*x3, x1*x2, x1*x5*x1*x5, x4^2 ]
[ x1*x5*x1*x5*x1*x5, x1*x2*x4^3, x1*x2*x3, x1, x1*x5*x1*x5, x4^2 ]
[ x1*x5*x1*x5*x1*x5, x1*x4^3, x1*x3, x2, x1*x5*x1*x5, x4^2 ]
[ x4^3, x3, x1*x2, x1, x1*x5*x1*x5, x4^2 ]
[ x5*x1*x5*x1*x5, x4^3, x3, x1*x2, x1*x5*x1*x5, x4^2 ]
[ x2*x5*x1*x5*x1*x5, x4^3, x3, x1, x1*x5*x1*x5, x4^2 ]
[ x5*x1*x5*x1*x5, x4^3, x3, x2, x1*x5*x1*x5, x4^2 ]
[ x1*x3*x5*x1*x5*x1*x5, x4^3, x1*x2, x1, x1*x5*x1*x5, x4^2 ]
[ x5*x1*x5*x1*x5, x4^3, x1*x3, x1*x2, x1*x5*x1*x5, x4^2 ]
[ x2*x5*x1*x5*x1*x5, x4^3, x1*x2*x3, x1, x1*x5*x1*x5, x4^2 ]
[ x5*x1*x5*x1*x5, x4^3, x1*x3, x2, x1*x5*x1*x5, x4^2 ]
[ x1*x4^3*x5*x1*x5*x1*x5, x3, x1*x2, x1, x1*x5*x1*x5, x4^2 ]
[ x5*x1*x5*x1*x5, x1*x4^3, x3, x1*x2, x1*x5*x1*x5, x4^2 ]
[ x2*x5*x1*x5*x1*x5, x1*x2*x4^3, x3, x1, x1*x5*x1*x5, x4^2 ]
[ x5*x1*x5*x1*x5, x1*x4^3, x3, x2, x1*x5*x1*x5, x4^2 ]
[ x1*x3*x5*x1*x5*x1*x5, x3*x4^3, x1*x2, x1, x1*x5*x1*x5, x4^2 ]
[ x5*x1*x5*x1*x5, x1*x4^3, x1*x3, x1*x2, x1*x5*x1*x5, x4^2 ]
[ x2*x5*x1*x5*x1*x5, x1*x2*x4^3, x1*x2*x3, x1, x1*x5*x1*x5, x4^2 ]
[ x5*x1*x5*x1*x5, x1*x4^3, x1*x3, x2, x1*x5*x1*x5, x4^2 ]
[ x1*x5*x1*x5*x1*x5, x4^3, x3, x1*x2, x1, x1*x5*x1*x5 ]
[ x1*x5*x1*x5*x1*x5, x4^3, x3, x1*x2, x1, x4^2 ]
[ x1*x5*x1*x5*x1*x5, x4^3, x3, x1*x2, x1, x1*x4^2*x5*x1*x5 ]
[ x1*x5*x1*x5*x1*x5, x4^3, x3, x1*x2, x1, x4^2*x1*x5*x1*x5 ]
[ x1*x2*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x4^2, x1*x2*x4^2, x5^2, x4^2 ]
[ x1*x2*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x4^2, x3, x5^2, x4^2 ]
[ x1*x2*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x4^2, x1*x2*x3*x4^2, x5^2, x4^2 ]
[ x1*x2*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x2*x4^2, x3, x5^2, x4^2 ]
[ x1*x2*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x3*x4^2, x1*x2*x4^2, x5^2, x4^2 ]
[ x1*x2*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x2, x3, x5^2, x4^2 ]
[ x1*x2*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x3*x4^2, x1*x2*x3*x4^2, x5^2,
x4^2 ]
[ x1*x2*x4^2*x1*x5^3, x1*x4^2, x1*x2*x4^2, x3, x5^2, x4^2 ]
[ x1*x2*x4^2*x1*x5^3, x2*x3*x4^2*x1*x5^2*x4, x1*x4^2, x1*x2*x4^2, x5^2, x4^2 ]
[ x1*x2*x4^2*x1*x5^3, x4^2*x5^2*x4, x1*x4^2, x3, x5^2, x4^2 ]
[ x1*x2*x4^2*x1*x5^3, x2*x3*x4^2*x1*x5^2*x4, x1*x4^2, x1*x2*x3*x4^2, x5^2,
x4^2 ]
[ x1*x2*x4^2*x1*x5^3, x2*x4^2*x5^2*x4, x1*x2*x4^2, x3, x5^2, x4^2 ]
[ x1*x2*x4^2*x1*x5^3, x2*x3*x4^2*x1*x5^2*x4, x1*x3*x4^2, x1*x2*x4^2, x5^2,
x4^2 ]
[ x1*x2*x4^2*x1*x5^3, x4^2*x5^2*x4, x2, x3, x5^2, x4^2 ]
[ x1*x2*x4^2*x1*x5^3, x2*x3*x4^2*x1*x5^2*x4, x1*x3*x4^2, x1*x2*x3*x4^2, x5^2,
x4^2 ]
[ x2*x4^2*x1*x5^2*x4, x1*x4^2, x1*x2*x4^2, x3, x5^2, x4^2 ]
[ x1*x2*x3*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x4^2, x1*x2*x4^2, x5^2, x4^2 ]
[ x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x4^2, x3, x5^2, x4^2 ]
[ x1*x2*x3*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x4^2, x1*x2*x3*x4^2, x5^2,
x4^2 ]
[ x1*x2*x5^3, x2*x4^2*x1*x5^2*x4, x1*x2*x4^2, x3, x5^2, x4^2 ]
[ x1*x2*x3*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x3*x4^2, x1*x2*x4^2, x5^2,
x4^2 ]
[ x1*x5^3, x2*x4^2*x1*x5^2*x4, x2, x3, x5^2, x4^2 ]
[ x1*x2*x3*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x3*x4^2, x1*x2*x3*x4^2, x5^2,
x4^2 ]
[ x1*x4^3*x5, x1*x4^2, x1*x2*x4^2, x3, x5^2, x4^2 ]
[ x1*x2*x3*x4^2*x1*x5^3, x2*x3*x4^2*x1*x5^2*x4, x1*x4^2, x1*x2*x4^2, x5^2,
x4^2 ]
[ x1*x5^3, x4^2*x5^2*x4, x1*x4^2, x3, x5^2, x4^2 ]
[ x1*x2*x3*x4^2*x1*x5^3, x2*x3*x4^2*x1*x5^2*x4, x1*x4^2, x1*x2*x3*x4^2, x5^2,
x4^2 ]
[ x1*x2*x5^3, x2*x4^2*x5^2*x4, x1*x2*x4^2, x3, x5^2, x4^2 ]
[ x1*x2*x3*x4^2*x1*x5^3, x2*x3*x4^2*x1*x5^2*x4, x1*x3*x4^2, x1*x2*x4^2, x5^2,
x4^2 ]
[ x1*x5^3, x4^2*x5^2*x4, x2, x3, x5^2, x4^2 ]
[ x1*x2*x3*x4^2*x1*x5^3, x2*x3*x4^2*x1*x5^2*x4, x1*x3*x4^2, x1*x2*x3*x4^2,
x5^2, x4^2 ]
[ x1*x2*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x4^2, x1*x2*x4^2, x3, x5^2 ]
[ x1*x2*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x4^2, x1*x2*x4^2, x3, x4^2 ]
[ x3*x5*x1*x5*x1*x5^3, x4, x1*x2*x3, x1*x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x3*x5*x1*x5*x1*x5^3, x4, x1*x2*x3, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x3*x5*x1*x5*x1*x5^3, x4, x1*x2*x3, x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x3*x5*x1*x5*x1*x5^3, x4, x1*x2, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x3*x5*x1*x5*x1*x5^3, x4, x2*x3, x1*x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x3*x5*x1*x5*x1*x5^3, x4, x3, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x3*x5*x1*x5*x1*x5^3, x4, x2*x3, x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x3*x5*x1*x5*x1*x5^3, x1*x2*x3, x1*x2, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x3*x5*x1*x5*x1*x5^3, x1*x4, x1*x2*x3, x1*x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x3*x5*x1*x5*x1*x5^3, x1*x2*x4, x1*x2*x3, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x3*x5*x1*x5*x1*x5^3, x1*x4, x1*x2*x3, x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x3*x5*x1*x5*x1*x5^3, x1*x2*x3*x4, x1*x2, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x3*x5*x1*x5*x1*x5^3, x1*x4, x2*x3, x1*x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x3*x5*x1*x5*x1*x5^3, x1*x2*x4, x3, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x3*x5*x1*x5*x1*x5^3, x1*x4, x2*x3, x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x4, x1*x2*x3, x1*x2, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x1*x3*x5*x1*x5*x1*x5^3, x4, x1*x2*x3, x1*x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x1*x2*x3*x5*x1*x5*x1*x5^3, x4, x1*x2*x3, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x1*x3*x5*x1*x5*x1*x5^3, x4, x1*x2*x3, x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x1*x2*x5*x1*x5*x1*x5^3, x4, x1*x2, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x1*x3*x5*x1*x5*x1*x5^3, x4, x2*x3, x1*x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x1*x2*x3*x5*x1*x5*x1*x5^3, x4, x3, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x1*x3*x5*x1*x5*x1*x5^3, x4, x2*x3, x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x3*x4*x5*x1*x5*x1*x5^3, x1*x2*x3, x1*x2, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x1*x3*x5*x1*x5*x1*x5^3, x1*x4, x1*x2*x3, x1*x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x1*x2*x3*x5*x1*x5*x1*x5^3, x1*x2*x4, x1*x2*x3, x1, x1*x5*x1*x5,
x1*x5*x1*x5^3 ]
[ x1*x3*x5*x1*x5*x1*x5^3, x1*x4, x1*x2*x3, x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x1*x2*x5*x1*x5*x1*x5^3, x1*x2*x3*x4, x1*x2, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x1*x3*x5*x1*x5*x1*x5^3, x1*x4, x2*x3, x1*x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x1*x2*x3*x5*x1*x5*x1*x5^3, x1*x2*x4, x3, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x1*x3*x5*x1*x5*x1*x5^3, x1*x4, x2*x3, x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x3*x5*x1*x5*x1*x5^3, x4, x1*x2*x3, x1*x2, x1, x1*x5^2*x1 ]
[ x3*x5*x1*x5*x1*x5^3, x4, x1*x2*x3, x1*x2, x1, x1*x5*x1*x5 ]
[ x5^3, x4, x2*x3, x2, x1*x5*x1*x5, x2*x5*x2*x5 ]
[ x5^3, x4, x2*x3, x1, x1*x5*x1*x5, x2*x5*x2*x5 ]
[ x5^3, x4, x2*x3, x1*x2, x1*x5*x1*x5, x2*x5*x2*x5 ]
[ x5^3, x4, x2, x1, x1*x5*x1*x5, x2*x5*x2*x5 ]
[ x5^3, x4, x1*x2*x3, x2, x1*x5*x1*x5, x2*x5*x2*x5 ]
[ x5^3, x4, x3, x1, x1*x5*x1*x5, x2*x5*x2*x5 ]
[ x5^3, x4, x1*x2*x3, x1*x2, x1*x5*x1*x5, x2*x5*x2*x5 ]
[ x5^3, x2*x3, x2, x1, x1*x5*x1*x5, x2*x5*x2*x5 ]
[ x5^3, x1*x4, x2*x3, x2, x1*x5*x1*x5, x2*x5*x2*x5 ]
[ x5^3, x2*x4, x2*x3, x1, x1*x5*x1*x5, x2*x5*x2*x5 ]
[ x5^3, x1*x4, x2*x3, x1*x2, x1*x5*x1*x5, x2*x5*x2*x5 ]
[ x5^3, x2*x3*x4, x2, x1, x1*x5*x1*x5, x2*x5*x2*x5 ]
[ x5^3, x1*x4, x1*x2*x3, x2, x1*x5*x1*x5, x2*x5*x2*x5 ]
[ x5^3, x2*x4, x3, x1, x1*x5*x1*x5, x2*x5*x2*x5 ]
[ x5^3, x1*x4, x1*x2*x3, x1*x2, x1*x5*x1*x5, x2*x5*x2*x5 ]
[ x4, x2*x3, x2, x1, x1*x5*x1*x5, x2*x5*x2*x5 ]
[ x1*x5^3, x4, x2*x3, x2, x1*x5*x1*x5, x2*x5*x2*x5 ]
[ x2*x5^3, x4, x2*x3, x1, x1*x5*x1*x5, x2*x5*x2*x5 ]
[ x1*x5^3, x4, x2*x3, x1*x2, x1*x5*x1*x5, x2*x5*x2*x5 ]
[ x2*x3*x5^3, x4, x2, x1, x1*x5*x1*x5, x2*x5*x2*x5 ]
[ x1*x5^3, x4, x1*x2*x3, x2, x1*x5*x1*x5, x2*x5*x2*x5 ]
[ x2*x5^3, x4, x3, x1, x1*x5*x1*x5, x2*x5*x2*x5 ]
[ x1*x5^3, x4, x1*x2*x3, x1*x2, x1*x5*x1*x5, x2*x5*x2*x5 ]
[ x4*x5^3, x2*x3, x2, x1, x1*x5*x1*x5, x2*x5*x2*x5 ]
[ x1*x5^3, x1*x4, x2*x3, x2, x1*x5*x1*x5, x2*x5*x2*x5 ]
[ x2*x5^3, x2*x4, x2*x3, x1, x1*x5*x1*x5, x2*x5*x2*x5 ]
[ x1*x5^3, x1*x4, x2*x3, x1*x2, x1*x5*x1*x5, x2*x5*x2*x5 ]
[ x2*x3*x5^3, x2*x3*x4, x2, x1, x1*x5*x1*x5, x2*x5*x2*x5 ]
[ x1*x5^3, x1*x4, x1*x2*x3, x2, x1*x5*x1*x5, x2*x5*x2*x5 ]
[ x2*x5^3, x2*x4, x3, x1, x1*x5*x1*x5, x2*x5*x2*x5 ]
[ x1*x5^3, x1*x4, x1*x2*x3, x1*x2, x1*x5*x1*x5, x2*x5*x2*x5 ]
[ x5^3, x4, x2*x3, x2, x1, x1*x5*x1*x5 ]
[ x5^3, x4, x2*x3, x2, x1, x2*x5*x2*x5 ]
[ x1*x2*x4^4*x5^3, x1*x3, x1*x2, x1, x4^2, x5^2 ]
[ x1*x2*x4^4*x5^3, x1*x3, x1*x2, x1*x3*x4^2*x5^2*x4, x4^2, x5^2 ]
[ x1*x2*x4^4*x5^3, x1*x3, x1*x2, x3*x4^2*x5^2*x4, x4^2, x5^2 ]
[ x1*x2*x4^4*x5^3, x1*x3, x1, x1*x3*x4^2*x5^2*x4, x4^2, x5^2 ]
[ x1*x2*x4^4*x5^3, x1*x3, x2*x3*x4^2*x5^2*x4, x1, x4^2, x5^2 ]
[ x1*x2*x4^4*x5^3, x1*x3, x2, x1*x3*x4^2*x5^2*x4, x4^2, x5^2 ]
[ x1*x2*x4^4*x5^3, x1*x3, x2*x3*x4^2*x5^2*x4, x3*x4^2*x5^2*x4, x4^2, x5^2 ]
[ x1*x2*x4^4*x5^3, x1*x2, x1, x1*x3*x4^2*x5^2*x4, x4^2, x5^2 ]
[ x1*x2*x4^4*x5^3, x4^2*x5^2*x4, x1*x2, x1, x4^2, x5^2 ]
[ x1*x2*x4^4*x5^3, x3, x1*x2, x1*x3*x4^2*x5^2*x4, x4^2, x5^2 ]
[ x1*x2*x4^4*x5^3, x4^2*x5^2*x4, x1*x2, x3*x4^2*x5^2*x4, x4^2, x5^2 ]
[ x1*x2*x4^4*x5^3, x2*x3, x1, x1*x3*x4^2*x5^2*x4, x4^2, x5^2 ]
[ x1*x2*x4^4*x5^3, x4^2*x5^2*x4, x2*x3*x4^2*x5^2*x4, x1, x4^2, x5^2 ]
[ x1*x2*x4^4*x5^3, x3, x2, x1*x3*x4^2*x5^2*x4, x4^2, x5^2 ]
[ x1*x2*x4^4*x5^3, x4^2*x5^2*x4, x2*x3*x4^2*x5^2*x4, x3*x4^2*x5^2*x4, x4^2,
x5^2 ]
[ x1*x3, x1*x2, x1, x1*x3*x4^2*x5^2*x4, x4^2, x5^2 ]
[ x2*x3*x4*x5, x1*x3, x1*x2, x1, x4^2, x5^2 ]
[ x2*x4^4*x5^3, x1*x3, x1*x2, x1*x3*x4^2*x5^2*x4, x4^2, x5^2 ]
[ x2*x3*x4*x5, x1*x3, x1*x2, x3*x4^2*x5^2*x4, x4^2, x5^2 ]
[ x4^4*x5^3, x1*x3, x1, x1*x3*x4^2*x5^2*x4, x4^2, x5^2 ]
[ x2*x3*x4*x5, x1*x3, x2*x3*x4^2*x5^2*x4, x1, x4^2, x5^2 ]
[ x2*x4^4*x5^3, x1*x3, x2, x1*x3*x4^2*x5^2*x4, x4^2, x5^2 ]
[ x2*x3*x4*x5, x1*x3, x2*x3*x4^2*x5^2*x4, x3*x4^2*x5^2*x4, x4^2, x5^2 ]
[ x2*x3*x4^4*x5^3, x1*x2, x1, x1*x3*x4^2*x5^2*x4, x4^2, x5^2 ]
[ x2*x3*x4*x5, x4^2*x5^2*x4, x1*x2, x1, x4^2, x5^2 ]
[ x2*x4^4*x5^3, x3, x1*x2, x1*x3*x4^2*x5^2*x4, x4^2, x5^2 ]
[ x2*x3*x4*x5, x4^2*x5^2*x4, x1*x2, x3*x4^2*x5^2*x4, x4^2, x5^2 ]
[ x4^4*x5^3, x2*x3, x1, x1*x3*x4^2*x5^2*x4, x4^2, x5^2 ]
[ x2*x3*x4*x5, x4^2*x5^2*x4, x2*x3*x4^2*x5^2*x4, x1, x4^2, x5^2 ]
[ x2*x4^4*x5^3, x3, x2, x1*x3*x4^2*x5^2*x4, x4^2, x5^2 ]
[ x2*x3*x4*x5, x4^2*x5^2*x4, x2*x3*x4^2*x5^2*x4, x3*x4^2*x5^2*x4, x4^2, x5^2 ]
[ x1*x2*x4^4*x5^3, x1*x3, x1*x2, x1, x1*x3*x4^2*x5^2*x4, x4^2 ]
[ x1*x2*x4^4*x5^3, x1*x3, x1*x2, x1, x1*x3*x4^2*x5^2*x4, x5^2 ]
[ x5*x1*x5*x1*x5, x3*x4, x3, x2*x5^2, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x5*x1*x5*x1*x5, x3*x4, x3, x1, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x5*x1*x5*x1*x5, x3*x4, x3, x1*x2*x5^2, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x5*x1*x5*x1*x5, x3*x4, x2*x5^2, x1, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x5*x1*x5*x1*x5, x3*x4, x1*x3, x2*x5^2, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x5*x1*x5*x1*x5, x3*x4, x2*x3*x5^2, x1, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x5*x1*x5*x1*x5, x3*x4, x1*x3, x1*x2*x5^2, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x5*x1*x5*x1*x5, x3, x2*x5^2, x1, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x5*x1*x5*x1*x5, x1*x3*x4, x3, x2*x5^2, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x5*x1*x5*x1*x5, x2*x3*x4*x5^2, x3, x1, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x5*x1*x5*x1*x5, x1*x3*x4, x3, x1*x2*x5^2, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x5*x1*x5*x1*x5, x4, x2*x5^2, x1, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x5*x1*x5*x1*x5, x1*x3*x4, x1*x3, x2*x5^2, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x5*x1*x5*x1*x5, x2*x3*x4*x5^2, x2*x3*x5^2, x1, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x5*x1*x5*x1*x5, x1*x3*x4, x1*x3, x1*x2*x5^2, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x3*x4, x3, x2*x5^2, x1, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x1*x5*x1*x5*x1*x5, x3*x4, x3, x2*x5^2, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x5*x1*x5*x1*x2*x5, x3*x4, x3, x1, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x1*x5*x1*x5*x1*x5, x3*x4, x3, x1*x2*x5^2, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x3*x5*x1*x5*x1*x5, x3*x4, x2*x5^2, x1, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x1*x5*x1*x5*x1*x5, x3*x4, x1*x3, x2*x5^2, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x5*x1*x5*x1*x2*x5, x3*x4, x2*x3*x5^2, x1, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x1*x5*x1*x5*x1*x5, x3*x4, x1*x3, x1*x2*x5^2, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x3*x4*x5*x1*x5*x1*x5, x3, x2*x5^2, x1, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x1*x5*x1*x5*x1*x5, x1*x3*x4, x3, x2*x5^2, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x5*x1*x5*x1*x2*x5, x2*x3*x4*x5^2, x3, x1, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x1*x5*x1*x5*x1*x5, x1*x3*x4, x3, x1*x2*x5^2, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x3*x5*x1*x5*x1*x5, x4, x2*x5^2, x1, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x1*x5*x1*x5*x1*x5, x1*x3*x4, x1*x3, x2*x5^2, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x5*x1*x5*x1*x2*x5, x2*x3*x4*x5^2, x2*x3*x5^2, x1, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x1*x5*x1*x5*x1*x5, x1*x3*x4, x1*x3, x1*x2*x5^2, x5^2, x1*x2*x5*x1*x2*x5 ]
[ x5*x1*x5*x1*x5, x3*x4, x3, x2*x5^2, x1, x5^2 ]
[ x5*x1*x5*x1*x5, x3*x4, x3, x2*x5^2, x1, x1*x2*x5*x1*x2*x5 ]
[ x5^3, x1*x4, x1*x3, x1*x2, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ]
[ x5^3, x1*x4, x1*x3, x1, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ]
[ x5^3, x1*x4, x1*x3, x2, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ]
[ x5^3, x1*x4, x1*x2, x1, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ]
[ x5^3, x1*x4, x3, x1*x2, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ]
[ x5^3, x1*x4, x2*x3, x1, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ]
[ x5^3, x1*x4, x3, x2, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ]
[ x5^3, x1*x3, x1*x2, x1, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ]
[ x5^3, x4, x1*x3, x1*x2, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ]
[ x5^3, x2*x4, x1*x3, x1, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ]
[ x5^3, x4, x1*x3, x2, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ]
[ x5^3, x3*x4, x1*x2, x1, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ]
[ x5^3, x4, x3, x1*x2, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ]
[ x5^3, x2*x4, x2*x3, x1, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ]
[ x5^3, x4, x3, x2, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ]
[ x1*x4, x1*x3, x1*x2, x1, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ]
[ x1*x5^3, x1*x4, x1*x3, x1*x2, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ]
[ x1*x2*x5^3, x1*x4, x1*x3, x1, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ]
[ x1*x5^3, x1*x4, x1*x3, x2, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ]
[ x1*x3*x5^3, x1*x4, x1*x2, x1, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ]
[ x1*x5^3, x1*x4, x3, x1*x2, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ]
[ x1*x2*x5^3, x1*x4, x2*x3, x1, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ]
[ x1*x5^3, x1*x4, x3, x2, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ]
[ x1*x4*x5^3, x1*x3, x1*x2, x1, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ]
[ x1*x5^3, x4, x1*x3, x1*x2, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ]
[ x1*x2*x5^3, x2*x4, x1*x3, x1, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ]
[ x1*x5^3, x4, x1*x3, x2, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ]
[ x1*x3*x5^3, x3*x4, x1*x2, x1, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ]
[ x1*x5^3, x4, x3, x1*x2, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ]
[ x1*x2*x5^3, x2*x4, x2*x3, x1, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ]
[ x1*x5^3, x4, x3, x2, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ]
[ x5^3, x1*x4, x1*x3, x1*x2, x1, x1*x2*x5*x1*x2*x5 ]
[ x5^3, x1*x4, x1*x3, x1*x2, x1, x1*x5*x1*x5 ]
[ x2*x5^3*x2, x3*x4, x3, x5*x2*x5, x2*x5*x2*x5, x2*x5*x2*x5^3 ]
[ x2*x5^3*x2, x3*x4, x3, x1, x2*x5*x2*x5, x2*x5*x2*x5^3 ]
[ x2*x5^3*x2, x3*x4, x3, x1*x5*x2*x5, x2*x5*x2*x5, x2*x5*x2*x5^3 ]
[ x2*x5^3*x2, x3*x4, x5*x2*x5, x1, x2*x5*x2*x5, x2*x5*x2*x5^3 ]
[ x2*x5^3*x2, x3*x4, x1*x3, x5*x2*x5, x2*x5*x2*x5, x2*x5*x2*x5^3 ]
[ x2*x5^3*x2, x3*x4, x3*x5*x2*x5, x1, x2*x5*x2*x5, x2*x5*x2*x5^3 ]
[ x2*x5^3*x2, x3*x4, x1*x3, x1*x5*x2*x5, x2*x5*x2*x5, x2*x5*x2*x5^3 ]
[ x2*x5^3*x2, x3, x5*x2*x5, x1, x2*x5*x2*x5, x2*x5*x2*x5^3 ]
[ x2*x5^3*x2, x1*x3*x4, x3, x5*x2*x5, x2*x5*x2*x5, x2*x5*x2*x5^3 ]
[ x2*x5^3*x2, x3*x4*x5*x2*x5, x3, x1, x2*x5*x2*x5, x2*x5*x2*x5^3 ]
[ x2*x5^3*x2, x1*x3*x4, x3, x1*x5*x2*x5, x2*x5*x2*x5, x2*x5*x2*x5^3 ]
[ x2*x5^3*x2, x4, x5*x2*x5, x1, x2*x5*x2*x5, x2*x5*x2*x5^3 ]
[ x2*x5^3*x2, x1*x3*x4, x1*x3, x5*x2*x5, x2*x5*x2*x5, x2*x5*x2*x5^3 ]
[ x2*x5^3*x2, x3*x4*x5*x2*x5, x3*x5*x2*x5, x1, x2*x5*x2*x5, x2*x5*x2*x5^3 ]
[ x2*x5^3*x2, x1*x3*x4, x1*x3, x1*x5*x2*x5, x2*x5*x2*x5, x2*x5*x2*x5^3 ]
[ x3*x4, x3, x5*x2*x5, x1, x2*x5*x2*x5, x2*x5*x2*x5^3 ]
[ x1*x2*x5^3*x2, x3*x4, x3, x5*x2*x5, x2*x5*x2*x5, x2*x5*x2*x5^3 ]
[ x2*x5*x2*x5*x2*x5^3, x3*x4, x3, x1, x2*x5*x2*x5, x2*x5*x2*x5^3 ]
[ x1*x2*x5^3*x2, x3*x4, x3, x1*x5*x2*x5, x2*x5*x2*x5, x2*x5*x2*x5^3 ]
[ x2*x3*x5^3*x2, x3*x4, x5*x2*x5, x1, x2*x5*x2*x5, x2*x5*x2*x5^3 ]
[ x1*x2*x5^3*x2, x3*x4, x1*x3, x5*x2*x5, x2*x5*x2*x5, x2*x5*x2*x5^3 ]
[ x2*x5*x2*x5*x2*x5^3, x3*x4, x3*x5*x2*x5, x1, x2*x5*x2*x5, x2*x5*x2*x5^3 ]
[ x1*x2*x5^3*x2, x3*x4, x1*x3, x1*x5*x2*x5, x2*x5*x2*x5, x2*x5*x2*x5^3 ]
[ x2*x3*x4*x5^3*x2, x3, x5*x2*x5, x1, x2*x5*x2*x5, x2*x5*x2*x5^3 ]
[ x1*x2*x5^3*x2, x1*x3*x4, x3, x5*x2*x5, x2*x5*x2*x5, x2*x5*x2*x5^3 ]
[ x2*x5*x2*x5*x2*x5^3, x3*x4*x5*x2*x5, x3, x1, x2*x5*x2*x5, x2*x5*x2*x5^3 ]
[ x1*x2*x5^3*x2, x1*x3*x4, x3, x1*x5*x2*x5, x2*x5*x2*x5, x2*x5*x2*x5^3 ]
[ x2*x3*x5^3*x2, x4, x5*x2*x5, x1, x2*x5*x2*x5, x2*x5*x2*x5^3 ]
[ x1*x2*x5^3*x2, x1*x3*x4, x1*x3, x5*x2*x5, x2*x5*x2*x5, x2*x5*x2*x5^3 ]
[ x2*x5*x2*x5*x2*x5^3, x3*x4*x5*x2*x5, x3*x5*x2*x5, x1, x2*x5*x2*x5,
x2*x5*x2*x5^3 ]
[ x1*x2*x5^3*x2, x1*x3*x4, x1*x3, x1*x5*x2*x5, x2*x5*x2*x5, x2*x5*x2*x5^3 ]
[ x2*x5^3*x2, x3*x4, x3, x5*x2*x5, x1, x2*x5*x2*x5 ]
[ x2*x5^3*x2, x3*x4, x3, x5*x2*x5, x1, x2*x5^2*x2 ]
[ x1*x3*x5^3, x4*x5*x1*x5*x1, x3*x5*x1*x5*x1, x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x1*x3*x5^3, x4*x5*x1*x5*x1, x3*x5*x1*x5*x1, x1*x5*x1*x5*x1, x1*x5*x1*x5,
x1*x5*x1*x5^3 ]
[ x1*x3*x5^3, x4*x5*x1*x5*x1, x3*x5*x1*x5*x1, x1*x2*x5*x1*x5*x1, x1*x5*x1*x5,
x1*x5*x1*x5^3 ]
[ x1*x3*x5^3, x4*x5*x1*x5*x1, x2, x1*x5*x1*x5*x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x1*x3*x5^3, x4*x5*x1*x5*x1, x1*x3, x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x1*x3*x5^3, x4*x5*x1*x5*x1, x2*x3*x5*x1*x5*x1, x1*x5*x1*x5*x1, x1*x5*x1*x5,
x1*x5*x1*x5^3 ]
[ x1*x3*x5^3, x4*x5*x1*x5*x1, x1*x3, x1*x2*x5*x1*x5*x1, x1*x5*x1*x5,
x1*x5*x1*x5^3 ]
[ x1*x3*x5^3, x3*x5*x1*x5*x1, x2, x1*x5*x1*x5*x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x1*x3*x5^3, x1*x4, x3*x5*x1*x5*x1, x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x1*x3*x5^3, x2*x4*x5*x1*x5*x1, x3*x5*x1*x5*x1, x1*x5*x1*x5*x1, x1*x5*x1*x5,
x1*x5*x1*x5^3 ]
[ x1*x3*x5^3, x1*x4, x3*x5*x1*x5*x1, x1*x2*x5*x1*x5*x1, x1*x5*x1*x5,
x1*x5*x1*x5^3 ]
[ x1*x3*x5^3, x3*x4, x2, x1*x5*x1*x5*x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x1*x3*x5^3, x1*x4, x1*x3, x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x1*x3*x5^3, x2*x4*x5*x1*x5*x1, x2*x3*x5*x1*x5*x1, x1*x5*x1*x5*x1,
x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x1*x3*x5^3, x1*x4, x1*x3, x1*x2*x5*x1*x5*x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x4*x5*x1*x5*x1, x3*x5*x1*x5*x1, x2, x1*x5*x1*x5*x1, x1*x5*x1*x5,
x1*x5*x1*x5^3 ]
[ x3*x5*x1*x5*x1*x5^3, x4*x5*x1*x5*x1, x3*x5*x1*x5*x1, x2, x1*x5*x1*x5,
x1*x5*x1*x5^3 ]
[ x1*x2*x3*x5^3, x4*x5*x1*x5*x1, x3*x5*x1*x5*x1, x1*x5*x1*x5*x1, x1*x5*x1*x5,
x1*x5*x1*x5^3 ]
[ x3*x5*x1*x5*x1*x5^3, x4*x5*x1*x5*x1, x3*x5*x1*x5*x1, x1*x2*x5*x1*x5*x1,
x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x1*x5*x1*x5*x1*x5^3, x4*x5*x1*x5*x1, x2, x1*x5*x1*x5*x1, x1*x5*x1*x5,
x1*x5*x1*x5^3 ]
[ x3*x5*x1*x5*x1*x5^3, x4*x5*x1*x5*x1, x1*x3, x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x1*x2*x3*x5^3, x4*x5*x1*x5*x1, x2*x3*x5*x1*x5*x1, x1*x5*x1*x5*x1,
x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x3*x5*x1*x5*x1*x5^3, x4*x5*x1*x5*x1, x1*x3, x1*x2*x5*x1*x5*x1, x1*x5*x1*x5,
x1*x5*x1*x5^3 ]
[ x1*x3*x4*x5*x1*x5*x1*x5^3, x3*x5*x1*x5*x1, x2, x1*x5*x1*x5*x1, x1*x5*x1*x5,
x1*x5*x1*x5^3 ]
[ x3*x5*x1*x5*x1*x5^3, x1*x4, x3*x5*x1*x5*x1, x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x1*x2*x3*x5^3, x2*x4*x5*x1*x5*x1, x3*x5*x1*x5*x1, x1*x5*x1*x5*x1,
x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x3*x5*x1*x5*x1*x5^3, x1*x4, x3*x5*x1*x5*x1, x1*x2*x5*x1*x5*x1, x1*x5*x1*x5,
x1*x5*x1*x5^3 ]
[ x1*x5*x1*x5*x1*x5^3, x3*x4, x2, x1*x5*x1*x5*x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x3*x5*x1*x5*x1*x5^3, x1*x4, x1*x3, x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x1*x2*x3*x5^3, x2*x4*x5*x1*x5*x1, x2*x3*x5*x1*x5*x1, x1*x5*x1*x5*x1,
x1*x5*x1*x5, x1*x5*x1*x5^3 ]
[ x3*x5*x1*x5*x1*x5^3, x1*x4, x1*x3, x1*x2*x5*x1*x5*x1, x1*x5*x1*x5,
x1*x5*x1*x5^3 ]
[ x1*x3*x5^3, x4*x5*x1*x5*x1, x3*x5*x1*x5*x1, x2, x1*x5*x1*x5*x1, x1*x5*x1*x5
]
[ x1*x3*x5^3, x4*x5*x1*x5*x1, x3*x5*x1*x5*x1, x2, x1*x5*x1*x5*x1, x1*x5^2*x1 ]
[ x1*x2*x4*x1*x2*x4*x5, x4^3, x1*x3*x4*x1*x2*x4*x1, x4*x1*x2*x4*x1,
x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x2*x4*x1*x2*x4*x5, x4^3, x1*x3*x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4*x1,
x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x2*x4*x1*x2*x4*x5, x4^3, x1*x3*x4*x1*x2*x4*x1, x1*x2, x1*x2*x4*x1*x2*x4,
x4^2 ]
[ x1*x2*x4*x1*x2*x4*x5, x4^3, x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4*x1,
x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x2*x4*x1*x2*x4*x5, x4^3, x2*x3, x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x2*x4*x1*x2*x4*x5, x4^3, x1*x3, x1*x2*x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4,
x4^2 ]
[ x1*x2*x4*x1*x2*x4*x5, x4^3, x2*x3, x1*x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x2*x4*x1*x2*x4*x5, x1*x3*x4*x1*x2*x4*x1, x4*x1*x2*x4*x1,
x1*x2*x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x2*x4*x1*x2*x4*x5, x1*x2*x4*x2*x4^2, x1*x3*x4*x1*x2*x4*x1,
x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x2*x4*x1*x2*x4*x5, x4*x2*x4^2, x1*x3*x4*x1*x2*x4*x1,
x1*x2*x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x2*x4*x1*x2*x4*x5, x1*x2*x4*x2*x4^2, x1*x3*x4*x1*x2*x4*x1, x1*x2,
x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x2*x4*x1*x2*x4*x5, x1*x3*x4*x2*x4^2, x4*x1*x2*x4*x1,
x1*x2*x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x2*x4*x1*x2*x4*x5, x1*x2*x4*x2*x4^2, x2*x3, x4*x1*x2*x4*x1,
x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x2*x4*x1*x2*x4*x5, x4*x2*x4^2, x1*x3, x1*x2*x4*x1*x2*x4*x1,
x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x2*x4*x1*x2*x4*x5, x1*x2*x4*x2*x4^2, x2*x3, x1*x2, x1*x2*x4*x1*x2*x4,
x4^2 ]
[ x4^3, x1*x3*x4*x1*x2*x4*x1, x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4*x1,
x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x5, x4^3, x1*x3*x4*x1*x2*x4*x1, x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x2*x5, x4^3, x1*x3*x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4,
x4^2 ]
[ x1*x5, x4^3, x1*x3*x4*x1*x2*x4*x1, x1*x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x2*x3*x5, x4^3, x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4,
x4^2 ]
[ x1*x5, x4^3, x2*x3, x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x2*x5, x4^3, x1*x3, x1*x2*x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x5, x4^3, x2*x3, x1*x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x2*x4^2*x2*x4*x5, x1*x3*x4*x1*x2*x4*x1, x4*x1*x2*x4*x1,
x1*x2*x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x5, x1*x2*x4*x2*x4^2, x1*x3*x4*x1*x2*x4*x1, x4*x1*x2*x4*x1,
x1*x2*x4*x1*x2*x4, x4^2 ]
[ x2*x5, x4*x2*x4^2, x1*x3*x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4*x1,
x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x5, x1*x2*x4*x2*x4^2, x1*x3*x4*x1*x2*x4*x1, x1*x2, x1*x2*x4*x1*x2*x4,
x4^2 ]
[ x1*x2*x3*x5, x1*x3*x4*x2*x4^2, x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4*x1,
x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x5, x1*x2*x4*x2*x4^2, x2*x3, x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x2*x5, x4*x2*x4^2, x1*x3, x1*x2*x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x5, x1*x2*x4*x2*x4^2, x2*x3, x1*x2, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x1*x2*x4*x1*x2*x4*x5, x4^3, x1*x3*x4*x1*x2*x4*x1, x4*x1*x2*x4*x1,
x1*x2*x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4 ]
[ x1*x2*x4*x1*x2*x4*x5, x4^3, x1*x3*x4*x1*x2*x4*x1, x4*x1*x2*x4*x1,
x1*x2*x4*x1*x2*x4*x1, x1*x2*x4*x2*x4*x1 ]
[ x1*x2*x4^2*x3*x4*x5, x4^3, x4*x2*x3*x4*x2, x2*x3*x4*x2*x3*x4*x2,
x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1*x2*x4^2*x3*x4*x5, x4^3, x4*x2*x3*x4*x2, x1, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1*x2*x4^2*x3*x4*x5, x4^3, x4*x2*x3*x4*x2, x1*x2*x3*x4*x2*x3*x4*x2,
x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1*x2*x4^2*x3*x4*x5, x4^3, x2*x3*x4*x2*x3*x4*x2, x1, x2*x3*x4*x2*x3*x4,
x4^2 ]
[ x1*x2*x4^2*x3*x4*x5, x4^3, x1*x4*x2*x3*x4*x2, x2*x3*x4*x2*x3*x4*x2,
x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1*x2*x4^2*x3*x4*x5, x4^3, x2*x3, x1, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1*x2*x4^2*x3*x4*x5, x4^3, x1*x4*x2*x3*x4*x2, x1*x2*x3*x4*x2*x3*x4*x2,
x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1*x2*x4^2*x3*x4*x5, x4*x2*x3*x4*x2, x2*x3*x4*x2*x3*x4*x2, x1,
x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1*x2*x4^2*x3*x4*x5, x1*x4^3, x4*x2*x3*x4*x2, x2*x3*x4*x2*x3*x4*x2,
x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1*x2*x4^2*x3*x4*x5, x2*x3*x4*x3*x4^2, x4*x2*x3*x4*x2, x1,
x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1*x2*x4^2*x3*x4*x5, x1*x4^3, x4*x2*x3*x4*x2, x1*x2*x3*x4*x2*x3*x4*x2,
x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1*x2*x4^2*x3*x4*x5, x4*x3*x4^2, x2*x3*x4*x2*x3*x4*x2, x1,
x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1*x2*x4^2*x3*x4*x5, x1*x4^3, x1*x4*x2*x3*x4*x2, x2*x3*x4*x2*x3*x4*x2,
x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1*x2*x4^2*x3*x4*x5, x2*x3*x4*x3*x4^2, x2*x3, x1, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1*x2*x4^2*x3*x4*x5, x1*x4^3, x1*x4*x2*x3*x4*x2, x1*x2*x3*x4*x2*x3*x4*x2,
x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4^3, x4*x2*x3*x4*x2, x2*x3*x4*x2*x3*x4*x2, x1, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^2*x3*x4*x5, x4^3, x4*x2*x3*x4*x2, x2*x3*x4*x2*x3*x4*x2,
x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1*x3*x4^3*x5, x4^3, x4*x2*x3*x4*x2, x1, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^2*x3*x4*x5, x4^3, x4*x2*x3*x4*x2, x1*x2*x3*x4*x2*x3*x4*x2,
x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1*x2*x4^3*x5, x4^3, x2*x3*x4*x2*x3*x4*x2, x1, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^2*x3*x4*x5, x4^3, x1*x4*x2*x3*x4*x2, x2*x3*x4*x2*x3*x4*x2,
x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1*x3*x4^3*x5, x4^3, x2*x3, x1, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^2*x3*x4*x5, x4^3, x1*x4*x2*x3*x4*x2, x1*x2*x3*x4*x2*x3*x4*x2,
x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1*x4*x2*x3*x4*x5, x4*x2*x3*x4*x2, x2*x3*x4*x2*x3*x4*x2, x1,
x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^2*x3*x4*x5, x1*x4^3, x4*x2*x3*x4*x2, x2*x3*x4*x2*x3*x4*x2,
x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1*x3*x4^3*x5, x2*x3*x4*x3*x4^2, x4*x2*x3*x4*x2, x1, x2*x3*x4*x2*x3*x4,
x4^2 ]
[ x2*x4^2*x3*x4*x5, x1*x4^3, x4*x2*x3*x4*x2, x1*x2*x3*x4*x2*x3*x4*x2,
x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1*x2*x4^3*x5, x4*x3*x4^2, x2*x3*x4*x2*x3*x4*x2, x1, x2*x3*x4*x2*x3*x4,
x4^2 ]
[ x2*x4^2*x3*x4*x5, x1*x4^3, x1*x4*x2*x3*x4*x2, x2*x3*x4*x2*x3*x4*x2,
x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1*x3*x4^3*x5, x2*x3*x4*x3*x4^2, x2*x3, x1, x2*x3*x4*x2*x3*x4, x4^2 ]
[ x2*x4^2*x3*x4*x5, x1*x4^3, x1*x4*x2*x3*x4*x2, x1*x2*x3*x4*x2*x3*x4*x2,
x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1*x2*x4^2*x3*x4*x5, x4^3, x4*x2*x3*x4*x2, x2*x3*x4*x2*x3*x4*x2, x1,
x2*x3*x4*x2*x3*x4 ]
[ x1*x2*x4^2*x3*x4*x5, x4^3, x4*x2*x3*x4*x2, x2*x3*x4*x2*x3*x4*x2, x1,
x2*x3*x4*x3*x4*x2 ]
[ x2^3, x1^2*x2^2, x1^4 ]
[ x1^3, x1^2*x2^2, x1^4 ]
[ x1^3*x2^3, x1^2*x2^2, x1^4 ]
[ x2^3, x1^3, x1^2*x2^2 ]
[ x2^3, x1^3, x1^4 ]
[ x2^3, x1^3, x1^4*x2^2 ]
[ x2^3, x1^3, x2^2 ]
[ x2^3, x1^4*x2^2, x1^4 ]
[ x1^3, x1^4*x2^2, x1^4 ]
[ x1^3*x2^3, x1^4*x2^2, x1^4 ]
[ x2^3, x1^3, x1^4*x2^2 ]
[ x2^3, x1^3, x1^4 ]
[ x2^3, x1^3, x2^2 ]
[ x2^3, x1^3, x1^2*x2^2 ]
[ x2^3, x1^4*x2^2, x1^2 ]
[ x1^3, x1^4*x2^2, x1^2 ]
[ x1^3*x2^3, x1^4*x2^2, x1^2 ]
[ x2^3, x1^3, x1^4*x2^2 ]
[ x2^3, x1^3, x1^2 ]
[ x2^3, x1^3, x1^2*x2^2 ]
[ x2^3, x1^3, x2^2 ]
[ x2^3, x2^4, x1^2 ]
[ x1^3, x2^4, x1^2 ]
[ x1^3*x2^3, x2^4, x1^2 ]
[ x2^3, x1^3, x2^4 ]
[ x2^3, x1^3, x1^2 ]
[ x2^3, x1^3, x1^4*x2^4 ]
[ x2^3, x1^3, x1^2*x2^4 ]
[ x2^3, x2^4, x1^2 ]
[ x1^3, x2^4, x1^2 ]
[ x1^3*x2^3, x2^4, x1^2 ]
[ x2^3, x1^3, x2^4 ]
[ x2^3, x1^3, x1^2 ]
[ x2^3, x1^3, x1^4*x2^4 ]
[ x2^3, x1^3, x1^2*x2^4 ]
[ x1^3*x2^3, x1^2, x2^2 ]
[ x1^3, x1^2, x2^2 ]
[ x2^3, x1^2, x2^2 ]
[ x1^3*x2^3, x1^3, x2^2 ]
[ x1^3*x2^3, x1^3, x1^2 ]
[ x1*x2^3, x2^2, x1^2 ]
[ x1^3, x2^2, x1^2 ]
[ x1^4*x2^3, x2^2, x1^2 ]
[ x1*x2^3, x1^3, x1^2 ]
[ x1*x2^3, x1^3, x2^2 ]
[ x2^3, x2^4, x1^4 ]
[ x1^3, x2^4, x1^4 ]
[ x1^3*x2^3, x2^4, x1^4 ]
[ x2^3, x1^3, x1^4 ]
[ x2^3, x1^3, x2^4 ]
[ x2^3, x1*x2^2*x1*x2^2, x1*x2^2*x1*x2^4 ]
[ x1, x1*x2^2*x1*x2^2, x1*x2^2*x1*x2^4 ]
[ x1*x2^3, x1*x2^2*x1*x2^2, x1*x2^2*x1*x2^4 ]
[ x2^3, x1, x1*x2^2*x1*x2^4 ]
[ x2^3, x1, x1*x2^2*x1*x2^2 ]
[ x2^3, x1^2, x2^2 ]
[ x1^3, x1^2, x2^2 ]
[ x1^3*x2^3, x1^2, x2^2 ]
[ x2^3, x1^3, x2^2 ]
[ x2^3, x1^3, x1^2 ]
[ x1*x2^3, x1*x2^2*x1*x2^2, x1*x2^2*x1*x2^4 ]
[ x1, x1*x2^2*x1*x2^2, x1*x2^2*x1*x2^4 ]
[ x2^3, x1*x2^2*x1*x2^2, x1*x2^2*x1*x2^4 ]
[ x1*x2^3, x1, x1*x2^2*x1*x2^4 ]
[ x1*x2^3, x1, x1*x2^2*x1*x2^2 ]
[ x1*x2^3, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ]
[ x1, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ]
[ x2^3, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ]
[ x1*x2^3, x1, x1*x2^2*x1*x2^4 ]
[ x1*x2^3, x1, x1*x2*x1*x2 ]
[ x2^3, x2^2, x1*x2*x1*x2^5 ]
[ x1*x2*x1*x2*x1*x2^4, x2^2, x1*x2*x1*x2^5 ]
[ x1*x2*x1*x2*x1*x2, x2^2, x1*x2*x1*x2^5 ]
[ x2^3, x1*x2*x1*x2*x1*x2^4, x1*x2*x1*x2^5 ]
[ x2^3, x1*x2*x1*x2*x1*x2^4, x2^2 ]
[ x1*x2*x1*x2^2, x2^2, x1*x2*x1*x2^5 ]
[ x2*x1*x2^5, x2^2, x1*x2*x1*x2^5 ]
[ x1*x2*x1*x2*x1*x2, x2^2, x1*x2*x1*x2^5 ]
[ x1*x2*x1*x2^2, x2*x1*x2^5, x1*x2*x1*x2^5 ]
[ x1*x2*x1*x2^2, x2*x1*x2^5, x2^2 ]
[ x3^3, x1*x2*x3^2*x1, x3^2 ]
[ x1, x1*x2*x3^2*x1, x3^2 ]
[ x1*x3^3, x1*x2*x3^2*x1, x3^2 ]
[ x3^3, x1, x1*x2*x3^2*x1 ]
[ x3^3, x1, x3^2 ]
[ x3^3, x1, x1*x2*x1*x3^2 ]
[ x3^3, x1, x1*x2*x1 ]
[ x1^2*x2^3, x1^4, x2^2 ]
[ x1^3, x1^4, x2^2 ]
[ x1^5*x2^3, x1^4, x2^2 ]
[ x1^2*x2^3, x1^3, x2^2 ]
[ x1^2*x2^3, x1^3, x1^4 ]
[ x2^3, x1^4, x2^2 ]
[ x1^3*x2^2, x1^4, x2^2 ]
[ x1^4*x2*x1, x1^4, x2^2 ]
[ x2^3, x1^3*x2^2, x1^4 ]
[ x2^3, x1^3*x2^2, x2^2 ]
[ x1^5*x2^3, x1^2, x2^2 ]
[ x1^3, x1^2, x2^2 ]
[ x1^2*x2^3, x1^2, x2^2 ]
[ x1^5*x2^3, x1^3, x1^2 ]
[ x1^5*x2^3, x1^3, x2^2 ]
[ x2*x1*x2*x1*x2^3, x1*x2^2*x1, x2*x1*x2^3*x1 ]
[ x1, x1*x2^2*x1, x2*x1*x2^3*x1 ]
[ x1*x2*x1*x2*x1*x2^3, x1*x2^2*x1, x2*x1*x2^3*x1 ]
[ x2*x1*x2*x1*x2^3, x1, x1*x2*x1*x2 ]
[ x2*x1*x2*x1*x2^3, x1, x1*x2^2*x1 ]
[ x3^3, x1*x2*x1*x3^2, x3^2 ]
[ x1, x1*x2*x1*x3^2, x3^2 ]
[ x1*x3^3, x1*x2*x1*x3^2, x3^2 ]
[ x3^3, x1, x1*x2*x1*x3^2 ]
[ x3^3, x1, x3^2 ]
[ x3^3, x1, x1*x2*x1 ]
[ x3^3, x1, x1*x2*x3^2*x1 ]
[ x3^3, x1*x2*x3^2*x1, x3^2 ]
[ x1*x3^2, x1*x2*x3^2*x1, x3^2 ]
[ x3*x1, x1*x2*x3^2*x1, x3^2 ]
[ x3^3, x1*x3^2, x1*x2*x3^2*x1 ]
[ x3^3, x1*x3^2, x3^2 ]
[ x3^3, x1*x3^2, x1*x2*x1*x3^2 ]
[ x3^3, x1*x3^2, x1*x2*x1 ]
[ x3*x1*x3*x1*x3, x1*x2*x3*x1*x3, x1*x3*x1*x3 ]
[ x1, x1*x2*x3*x1*x3, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x1*x3, x1*x2*x3*x1*x3, x1*x3*x1*x3 ]
[ x3*x1*x3*x1*x3, x1, x1*x2*x3*x1*x3 ]
[ x3*x1*x3*x1*x3, x1, x1*x3*x1*x3 ]
[ x3*x1*x3*x1*x3, x1, x1*x2*x1 ]
[ x3*x1*x3*x1*x3, x1, x1*x2*x1*x3*x1*x3*x1 ]
[ x1^3*x2^3, x2^4, x1^4 ]
[ x1^3, x2^4, x1^4 ]
[ x2^3, x2^4, x1^4 ]
[ x1^3*x2^3, x1^3, x2^4 ]
[ x1^3*x2^3, x1^3, x1^4 ]
[ x1^3*x2^3, x1^3, x1^2*x2^4 ]
[ x1^3*x2^3, x1^3, x1^4*x2^4 ]
[ x2^3, x2^4, x1^2 ]
[ x1^3, x2^4, x1^2 ]
[ x1^3*x2^3, x2^4, x1^2 ]
[ x2^3, x1^3, x2^4 ]
[ x2^3, x1^3, x1^2 ]
[ x2^3, x1^3, x1^4*x2^4 ]
[ x2^3, x1^3, x1^2*x2^4 ]
[ x2^3, x2^4, x1^2 ]
[ x1^3, x2^4, x1^2 ]
[ x1^3*x2^3, x2^4, x1^2 ]
[ x2^3, x1^3, x2^4 ]
[ x2^3, x1^3, x1^2 ]
[ x2^3, x1^3, x1^4*x2^4 ]
[ x2^3, x1^3, x1^2*x2^4 ]
[ x1*x2^3, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ]
[ x1, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ]
[ x2^3, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ]
[ x1*x2^3, x1, x1*x2^2*x1*x2^4 ]
[ x1*x2^3, x1, x1*x2*x1*x2 ]
[ x2^3, x2^4, x1^2 ]
[ x1^3, x2^4, x1^2 ]
[ x1^3*x2^3, x2^4, x1^2 ]
[ x2^3, x1^3, x1^2 ]
[ x2^3, x1^3, x2^4 ]
[ x2^3, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ]
[ x2^2*x1*x2^4, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ]
[ x2^2*x1*x2, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ]
[ x2^3, x2^2*x1*x2^4, x1*x2^2*x1*x2^4 ]
[ x2^3, x2^2*x1*x2^4, x1*x2*x1*x2 ]
[ x2^3, x1*x2^2*x1*x2^2, x1*x2^2*x1*x2^4 ]
[ x1, x1*x2^2*x1*x2^2, x1*x2^2*x1*x2^4 ]
[ x1*x2^3, x1*x2^2*x1*x2^2, x1*x2^2*x1*x2^4 ]
[ x2^3, x1, x1*x2^2*x1*x2^4 ]
[ x2^3, x1, x1*x2^2*x1*x2^2 ]
[ x1*x2*x1*x2^2, x2^2, x1*x2*x1*x2^5 ]
[ x2*x1*x2^5, x2^2, x1*x2*x1*x2^5 ]
[ x1*x2*x1*x2*x1*x2, x2^2, x1*x2*x1*x2^5 ]
[ x1*x2*x1*x2^2, x2*x1*x2^5, x1*x2*x1*x2^5 ]
[ x1*x2*x1*x2^2, x2*x1*x2^5, x2^2 ]
[ x1*x2^3, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ]
[ x1, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ]
[ x2^3, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ]
[ x1*x2^3, x1, x1*x2^2*x1*x2^4 ]
[ x1*x2^3, x1, x1*x2*x1*x2 ]
[ x2^3, x1^2, x2^2 ]
[ x1^3, x1^2, x2^2 ]
[ x1^3*x2^3, x1^2, x2^2 ]
[ x2^3, x1^3, x2^2 ]
[ x2^3, x1^3, x1^2 ]
[ x1^3*x2^3, x1^2, x2^2 ]
[ x1^3, x1^2, x2^2 ]
[ x2^3, x1^2, x2^2 ]
[ x1^3*x2^3, x1^3, x2^2 ]
[ x1^3*x2^3, x1^3, x1^2 ]
[ x1^3*x2^3, x1^2, x2^2 ]
[ x1^3, x1^2, x2^2 ]
[ x2^3, x1^2, x2^2 ]
[ x1^3*x2^3, x1^3, x2^2 ]
[ x1^3*x2^3, x1^3, x1^2 ]
[ x2^3, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ]
[ x1, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ]
[ x1*x2^3, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ]
[ x2^3, x1, x1*x2^2*x1*x2^4 ]
[ x2^3, x1, x1*x2*x1*x2 ]
[ x2^3, x1^4, x2^2 ]
[ x1^2*x2^2*x1, x1^4, x2^2 ]
[ x1^3*x2, x1^4, x2^2 ]
[ x2^3, x1^2*x2^2*x1, x2^2 ]
[ x2^3, x1^2*x2^2*x1, x1^4 ]
[ x2^3, x1^2, x2^2 ]
[ x1^3*x2^2, x1^2, x2^2 ]
[ x1^2*x2*x1, x1^2, x2^2 ]
[ x2^3, x1^3*x2^2, x2^2 ]
[ x2^3, x1^3*x2^2, x1^2 ]
[ x2^3, x1^4, x2^2 ]
[ x1^3*x2^2, x1^4, x2^2 ]
[ x1^2*x2*x1, x1^4, x2^2 ]
[ x2^3, x1^3*x2^2, x2^2 ]
[ x2^3, x1^3*x2^2, x1^4 ]
[ x1*x2^2*x1*x2*x3, x1*x2*x1*x2, x1*x2^2*x1*x2 ]
[ x2^2*x1*x2, x1*x2*x1*x2, x1*x2^2*x1*x2 ]
[ x2*x1*x2^2*x3, x1*x2*x1*x2, x1*x2^2*x1*x2 ]
[ x1*x2^2*x1*x2*x3, x2^2*x1*x2, x1*x2^2*x1*x2 ]
[ x1*x2^2*x1*x2*x3, x2^2*x1*x2, x1*x2*x1*x2 ]
[ x2*x1*x2*x1*x2^3, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x2*x1*x2^3, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x2*x1*x2*x1*x2^3, x1, x1*x2*x1*x2 ]
[ x2*x1*x2*x1*x2^3, x1, x1*x2^2*x1 ]
[ x1*x2^3*x1, x1*x2^2*x1, x2*x1*x2^3*x1 ]
[ x2*x1*x2^3, x1*x2^2*x1, x2*x1*x2^3*x1 ]
[ x2*x1*x2*x1*x2*x1, x1*x2^2*x1, x2*x1*x2^3*x1 ]
[ x1*x2^3*x1, x2*x1*x2^3, x1*x2*x1*x2 ]
[ x1*x2^3*x1, x2*x1*x2^3, x1*x2^2*x1 ]
[ x1^4*x2^3, x1^4, x2^2 ]
[ x1^3, x1^4, x2^2 ]
[ x1*x2^3, x1^4, x2^2 ]
[ x1^4*x2^3, x1^3, x2^2 ]
[ x1^4*x2^3, x1^3, x1^4 ]
[ x1*x2^2*x1*x2*x3, x1*x2*x1*x2, x1*x2^2*x1*x2 ]
[ x2^2*x1*x2, x1*x2*x1*x2, x1*x2^2*x1*x2 ]
[ x2*x1*x2^2*x3, x1*x2*x1*x2, x1*x2^2*x1*x2 ]
[ x1*x2^2*x1*x2*x3, x2^2*x1*x2, x1*x2^2*x1*x2 ]
[ x1*x2^2*x1*x2*x3, x2^2*x1*x2, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x1*x2^3, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x2*x1*x2*x1*x2^3, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x2*x1*x2^3, x1, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x1*x2^3, x1, x1*x2^2*x1 ]
[ x2^3, x1^4, x2^2 ]
[ x1^3, x1^4, x2^2 ]
[ x1^3*x2^3, x1^4, x2^2 ]
[ x2^3, x1^3, x2^2 ]
[ x2^3, x1^3, x1^4 ]
[ x1*x2*x1*x2*x1*x2, x2^2, x1*x2*x1*x2^5 ]
[ x1, x2^2, x1*x2*x1*x2^5 ]
[ x2*x1*x2*x1*x2, x2^2, x1*x2*x1*x2^5 ]
[ x1*x2*x1*x2*x1*x2, x1, x1*x2*x1*x2^5 ]
[ x1*x2*x1*x2*x1*x2, x1, x2^2 ]
[ x1^3*x2^3, x1^2, x2^2 ]
[ x1^3, x1^2, x2^2 ]
[ x2^3, x1^2, x2^2 ]
[ x1^3*x2^3, x1^3, x2^2 ]
[ x1^3*x2^3, x1^3, x1^2 ]
[ x1*x2^3, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ]
[ x1, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ]
[ x2^3, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ]
[ x1*x2^3, x1, x1*x2^2*x1*x2^4 ]
[ x1*x2^3, x1, x1*x2*x1*x2 ]
[ x1*x3^3, x1*x2*x1, x3^2 ]
[ x1, x1*x2*x1, x3^2 ]
[ x3^3, x1*x2*x1, x3^2 ]
[ x1*x3^3, x1, x1*x2*x1 ]
[ x1*x3^3, x1, x3^2 ]
[ x1*x3^3, x1, x1*x2*x3^2*x1 ]
[ x1*x3^3, x1, x1*x2*x1*x3^2 ]
[ x1*x3, x1*x2*x1, x3^2 ]
[ x3^2*x1, x1*x2*x1, x3^2 ]
[ x3^3, x1*x2*x1, x3^2 ]
[ x1*x3, x3^2*x1, x1*x2*x1 ]
[ x1*x3, x3^2*x1, x3^2 ]
[ x1*x3, x3^2*x1, x1*x2*x3^2*x1 ]
[ x1*x3, x3^2*x1, x1*x2*x1*x3^2 ]
[ x1*x2*x1*x2*x1*x2^3, x1*x2^2*x1, x1*x2*x1*x2^3 ]
[ x1, x1*x2^2*x1, x1*x2*x1*x2^3 ]
[ x2*x1*x2*x1*x2^3, x1*x2^2*x1, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x2*x1*x2^3, x1, x1*x2^2*x1 ]
[ x1*x2*x1*x2*x1*x2^3, x1, x1*x2*x1*x2 ]
[ x1^2*x2^3, x1^4, x2^2 ]
[ x1^3, x1^4, x2^2 ]
[ x1^5*x2^3, x1^4, x2^2 ]
[ x1^2*x2^3, x1^3, x1^4 ]
[ x1^2*x2^3, x1^3, x2^2 ]
[ x1*x2^3, x1^2, x2^2 ]
[ x1^3, x1^2, x2^2 ]
[ x1^4*x2^3, x1^2, x2^2 ]
[ x1*x2^3, x1^3, x2^2 ]
[ x1*x2^3, x1^3, x1^2 ]
[ x2*x1*x2*x1*x2^3, x1*x2^2*x1, x1*x2*x1*x2^3 ]
[ x1, x1*x2^2*x1, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x2*x1*x2^3, x1*x2^2*x1, x1*x2*x1*x2^3 ]
[ x2*x1*x2*x1*x2^3, x1, x1*x2^2*x1 ]
[ x2*x1*x2*x1*x2^3, x1, x1*x2*x1*x2 ]
[ x3^3, x1*x2*x1*x3^2, x3^2 ]
[ x1*x3^2, x1*x2*x1*x3^2, x3^2 ]
[ x3*x1, x1*x2*x1*x3^2, x3^2 ]
[ x3^3, x1*x3^2, x1*x2*x1*x3^2 ]
[ x3^3, x1*x3^2, x3^2 ]
[ x3^3, x1*x3^2, x1*x2*x1 ]
[ x3^3, x1*x3^2, x1*x2*x3^2*x1 ]
[ x1*x3^3, x1*x2*x1*x3^2, x3^2 ]
[ x1, x1*x2*x1*x3^2, x3^2 ]
[ x3^3, x1*x2*x1*x3^2, x3^2 ]
[ x1*x3^3, x1, x1*x2*x1*x3^2 ]
[ x1*x3^3, x1, x3^2 ]
[ x1*x3^3, x1, x1*x2*x1 ]
[ x1*x3^3, x1, x1*x2*x3^2*x1 ]
[ x3^3, x1*x2*x1, x3^2 ]
[ x2*x1*x3^2, x1*x2*x1, x3^2 ]
[ x2*x3*x1, x1*x2*x1, x3^2 ]
[ x3^3, x2*x1*x3^2, x1*x2*x1 ]
[ x3^3, x2*x1*x3^2, x3^2 ]
[ x3^3, x2*x1*x3^2, x1*x2*x3^2*x1 ]
[ x3^3, x2*x1*x3^2, x1*x2*x1*x3^2 ]
[ x1*x2*x1*x3*x1*x3*x1*x3, x1*x3*x1*x3, x1*x2*x1 ]
[ x1*x2, x1*x3*x1*x3, x1*x2*x1 ]
[ x1*x3*x1*x3*x1*x3, x1*x3*x1*x3, x1*x2*x1 ]
[ x1*x2*x1*x3*x1*x3*x1*x3, x1*x2, x1*x3*x1*x3 ]
[ x1*x2*x1*x3*x1*x3*x1*x3, x1*x2, x1*x2*x1 ]
[ x1*x2*x1*x3*x1*x3*x1*x3, x1*x2, x2*x1*x3*x1*x3 ]
[ x1*x2*x1*x3*x1*x3*x1*x3, x1*x2, x1*x2*x3*x1*x3 ]
[ x2^3, x2^2, x1^2 ]
[ x1^3, x2^2, x1^2 ]
[ x1^3*x2^3, x2^2, x1^2 ]
[ x2^3, x1^3, x2^2 ]
[ x2^3, x1^3, x1^2 ]
[ x2^3, x1^3, x1^4*x2^2 ]
[ x2^3, x1^3, x1^2*x2^2 ]
[ x2^3, x2^4, x1^2 ]
[ x1^3, x2^4, x1^2 ]
[ x1^3*x2^3, x2^4, x1^2 ]
[ x2^3, x1^3, x2^4 ]
[ x2^3, x1^3, x1^2 ]
[ x2^3, x1^3, x1^4*x2^4 ]
[ x2^3, x1^3, x1^2*x2^4 ]
[ x1^3*x2^3, x1^2*x2^2, x1^2 ]
[ x1^3, x1^2*x2^2, x1^2 ]
[ x2^3, x1^2*x2^2, x1^2 ]
[ x1^3*x2^3, x1^3, x1^2*x2^2 ]
[ x1^3*x2^3, x1^3, x1^2 ]
[ x1^3*x2^3, x1^3, x2^2 ]
[ x1^3*x2^3, x1^3, x1^4*x2^2 ]
[ x3^3, x1*x2*x1, x3^2 ]
[ x1*x3^2, x1*x2*x1, x3^2 ]
[ x3*x1, x1*x2*x1, x3^2 ]
[ x3^3, x1*x3^2, x1*x2*x1 ]
[ x3^3, x1*x3^2, x3^2 ]
[ x3^3, x1*x3^2, x1*x2*x3^2*x1 ]
[ x3^3, x1*x3^2, x1*x2*x1*x3^2 ]
[ x4^3, x1*x3, x2, x4^4 ]
[ x4^3, x1*x3, x1, x4^4 ]
[ x4^3, x1*x3, x1*x2, x4^4 ]
[ x4^3, x2, x1, x4^4 ]
[ x4^3, x3, x2, x4^4 ]
[ x4^3, x1*x2*x3, x1, x4^4 ]
[ x4^3, x3, x1*x2, x4^4 ]
[ x1*x3, x2, x1, x4^4 ]
[ x1*x4^3, x1*x3, x2, x4^4 ]
[ x2*x4^3, x1*x3, x1, x4^4 ]
[ x1*x4^3, x1*x3, x1*x2, x4^4 ]
[ x1*x3*x4^3, x2, x1, x4^4 ]
[ x1*x4^3, x3, x2, x4^4 ]
[ x2*x4^3, x1*x2*x3, x1, x4^4 ]
[ x1*x4^3, x3, x1*x2, x4^4 ]
[ x4^3, x1*x3, x2, x1 ]
[ x1*x4^3, x3, x2, x4^2 ]
[ x1*x4^3, x3, x1, x4^2 ]
[ x1*x4^3, x3, x1*x2, x4^2 ]
[ x1*x4^3, x2, x1, x4^2 ]
[ x1*x4^3, x1*x3, x2, x4^2 ]
[ x1*x4^3, x2*x3, x1, x4^2 ]
[ x1*x4^3, x1*x3, x1*x2, x4^2 ]
[ x3, x2, x1, x4^2 ]
[ x4^3, x3, x2, x4^2 ]
[ x1*x2*x4^3, x3, x1, x4^2 ]
[ x4^3, x3, x1*x2, x4^2 ]
[ x1*x3*x4^3, x2, x1, x4^2 ]
[ x4^3, x1*x3, x2, x4^2 ]
[ x1*x2*x4^3, x2*x3, x1, x4^2 ]
[ x4^3, x1*x3, x1*x2, x4^2 ]
[ x1*x4^3, x3, x2, x1 ]
[ x1*x4^3, x2*x3, x2, x4^2 ]
[ x1*x4^3, x2*x3, x1, x4^2 ]
[ x1*x4^3, x2*x3, x1*x2, x4^2 ]
[ x1*x4^3, x2, x1, x4^2 ]
[ x1*x4^3, x1*x2*x3, x2, x4^2 ]
[ x1*x4^3, x3, x1, x4^2 ]
[ x1*x4^3, x1*x2*x3, x1*x2, x4^2 ]
[ x2*x3, x2, x1, x4^2 ]
[ x4^3, x2*x3, x2, x4^2 ]
[ x1*x2*x4^3, x2*x3, x1, x4^2 ]
[ x4^3, x2*x3, x1*x2, x4^2 ]
[ x1*x2*x3*x4^3, x2, x1, x4^2 ]
[ x4^3, x1*x2*x3, x2, x4^2 ]
[ x1*x2*x4^3, x3, x1, x4^2 ]
[ x4^3, x1*x2*x3, x1*x2, x4^2 ]
[ x1*x4^3, x2*x3, x2, x1 ]
[ x1*x4*x1, x3, x2, x1*x4*x1*x4 ]
[ x1*x4*x1, x3, x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1, x3, x2*x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1, x2, x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1, x3*x4*x1*x4, x2, x1*x4*x1*x4 ]
[ x1*x4*x1, x2*x3, x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1, x3*x4*x1*x4, x2*x4*x1*x4, x1*x4*x1*x4 ]
[ x3, x2, x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x3, x2, x1*x4*x1*x4 ]
[ x1*x2*x4*x1, x3, x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x3, x2*x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x3*x4*x1, x2, x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x3*x4*x1*x4, x2, x1*x4*x1*x4 ]
[ x1*x2*x4*x1, x2*x3, x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x3*x4*x1*x4, x2*x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1, x3, x2, x4*x1*x4 ]
[ x1*x4*x1, x3, x2, x1*x4*x1*x4 ]
[ x1*x4*x1, x3, x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1, x3, x2*x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1, x2, x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1, x3*x4*x1*x4, x2, x1*x4*x1*x4 ]
[ x1*x4*x1, x2*x3, x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1, x3*x4*x1*x4, x2*x4*x1*x4, x1*x4*x1*x4 ]
[ x3, x2, x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x3, x2, x1*x4*x1*x4 ]
[ x1*x2*x4*x1, x3, x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x3, x2*x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x3*x4*x1, x2, x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x3*x4*x1*x4, x2, x1*x4*x1*x4 ]
[ x1*x2*x4*x1, x2*x3, x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x3*x4*x1*x4, x2*x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1, x3, x2, x4*x1*x4 ]
[ x4*x3*x4*x3*x4, x3, x1, x3*x4*x3*x4 ]
[ x4*x3*x4*x3*x4, x3, x2, x3*x4*x3*x4 ]
[ x4*x3*x4*x3*x4, x3, x1*x2, x3*x4*x3*x4 ]
[ x4*x3*x4*x3*x4, x1, x2, x3*x4*x3*x4 ]
[ x4*x3*x4*x3*x4, x2*x3, x1, x3*x4*x3*x4 ]
[ x4*x3*x4*x3*x4, x1*x3, x2, x3*x4*x3*x4 ]
[ x4*x3*x4*x3*x4, x2*x3, x1*x2, x3*x4*x3*x4 ]
[ x3, x1, x2, x3*x4*x3*x4 ]
[ x2*x4*x3*x4*x3*x4, x3, x1, x3*x4*x3*x4 ]
[ x1*x4*x3*x4*x3*x4, x3, x2, x3*x4*x3*x4 ]
[ x2*x4*x3*x4*x3*x4, x3, x1*x2, x3*x4*x3*x4 ]
[ x3*x4*x3*x4*x3*x4, x1, x2, x3*x4*x3*x4 ]
[ x2*x4*x3*x4*x3*x4, x2*x3, x1, x3*x4*x3*x4 ]
[ x1*x4*x3*x4*x3*x4, x1*x3, x2, x3*x4*x3*x4 ]
[ x2*x4*x3*x4*x3*x4, x2*x3, x1*x2, x3*x4*x3*x4 ]
[ x4*x3*x4*x3*x4, x3, x1, x2 ]
[ x2*x4^3, x1*x2*x3, x2, x4^2 ]
[ x2*x4^3, x1*x2*x3, x1, x4^2 ]
[ x2*x4^3, x1*x2*x3, x1*x2, x4^2 ]
[ x2*x4^3, x2, x1, x4^2 ]
[ x2*x4^3, x2*x3, x2, x4^2 ]
[ x2*x4^3, x1*x3, x1, x4^2 ]
[ x2*x4^3, x2*x3, x1*x2, x4^2 ]
[ x1*x2*x3, x2, x1, x4^2 ]
[ x1*x2*x4^3, x1*x2*x3, x2, x4^2 ]
[ x4^3, x1*x2*x3, x1, x4^2 ]
[ x1*x2*x4^3, x1*x2*x3, x1*x2, x4^2 ]
[ x1*x3*x4^3, x2, x1, x4^2 ]
[ x1*x2*x4^3, x2*x3, x2, x4^2 ]
[ x4^3, x1*x3, x1, x4^2 ]
[ x1*x2*x4^3, x2*x3, x1*x2, x4^2 ]
[ x2*x4^3, x1*x2*x3, x2, x1 ]
[ x1*x4*x1, x2*x3, x2, x1*x4*x1*x4 ]
[ x1*x4*x1, x2*x3, x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1, x2*x3, x2*x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1, x2, x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1, x2*x3*x4*x1*x4, x2, x1*x4*x1*x4 ]
[ x1*x4*x1, x3, x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1, x2*x3*x4*x1*x4, x2*x4*x1*x4, x1*x4*x1*x4 ]
[ x2*x3, x2, x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x2*x3, x2, x1*x4*x1*x4 ]
[ x1*x2*x4*x1, x2*x3, x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x2*x3, x2*x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x2*x3*x4*x1, x2, x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x2*x3*x4*x1*x4, x2, x1*x4*x1*x4 ]
[ x1*x2*x4*x1, x3, x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x2*x3*x4*x1*x4, x2*x4*x1*x4, x1*x4*x1*x4 ]
[ x1*x4*x1, x2*x3, x2, x4*x1*x4 ]
[ x3*x4, x3, x2*x1*x2*x1*x2, x1*x2*x1*x2 ]
[ x3*x4, x3, x1, x1*x2*x1*x2 ]
[ x3*x4, x3, x1*x2*x1*x2*x1*x2, x1*x2*x1*x2 ]
[ x3*x4, x2*x1*x2*x1*x2, x1, x1*x2*x1*x2 ]
[ x3*x4, x1*x3, x2*x1*x2*x1*x2, x1*x2*x1*x2 ]
[ x3*x4, x2*x1*x2*x1*x2*x3, x1, x1*x2*x1*x2 ]
[ x3*x4, x1*x3, x1*x2*x1*x2*x1*x2, x1*x2*x1*x2 ]
[ x3, x2*x1*x2*x1*x2, x1, x1*x2*x1*x2 ]
[ x1*x3*x4, x3, x2*x1*x2*x1*x2, x1*x2*x1*x2 ]
[ x2*x1*x2*x1*x2*x3*x4, x3, x1, x1*x2*x1*x2 ]
[ x1*x3*x4, x3, x1*x2*x1*x2*x1*x2, x1*x2*x1*x2 ]
[ x4, x2*x1*x2*x1*x2, x1, x1*x2*x1*x2 ]
[ x1*x3*x4, x1*x3, x2*x1*x2*x1*x2, x1*x2*x1*x2 ]
[ x2*x1*x2*x1*x2*x3*x4, x2*x1*x2*x1*x2*x3, x1, x1*x2*x1*x2 ]
[ x1*x3*x4, x1*x3, x1*x2*x1*x2*x1*x2, x1*x2*x1*x2 ]
[ x3*x4, x3, x2*x1*x2*x1*x2, x1 ]
[ x6*x1*x6*x1*x6, x3*x5, x2*x4, x3, x2, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x6*x1*x6*x1*x6, x3*x5, x2*x4, x3, x1, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x6*x1*x6*x1*x6, x3*x5, x2*x4, x3, x1*x2, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x6*x1*x6*x1*x6, x3*x5, x2*x4, x2, x1, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x6*x1*x6*x1*x6, x3*x5, x2*x4, x1*x3, x2, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x6*x1*x6*x1*x6, x3*x5, x2*x4, x2*x3, x1, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x6*x1*x6*x1*x6, x3*x5, x2*x4, x1*x3, x1*x2, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x6*x1*x6*x1*x6, x3*x5, x3, x2, x1, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x6*x1*x6*x1*x6, x3*x5, x1*x2*x4, x3, x2, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x6*x1*x6*x1*x6, x3*x5, x4, x3, x1, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x6*x1*x6*x1*x6, x3*x5, x1*x2*x4, x3, x1*x2, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x6*x1*x6*x1*x6, x3*x5, x2*x3*x4, x2, x1, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x6*x1*x6*x1*x6, x3*x5, x1*x2*x4, x1*x3, x2, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x6*x1*x6*x1*x6, x3*x5, x4, x2*x3, x1, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x6*x1*x6*x1*x6, x3*x5, x1*x2*x4, x1*x3, x1*x2, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x6*x1*x6*x1*x6, x2*x4, x3, x2, x1, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x6*x1*x6*x1*x6, x1*x3*x5, x2*x4, x3, x2, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x6*x1*x6*x1*x6, x2*x3*x5, x2*x4, x3, x1, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x6*x1*x6*x1*x6, x1*x3*x5, x2*x4, x3, x1*x2, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x6*x1*x6*x1*x6, x5, x2*x4, x2, x1, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x6*x1*x6*x1*x6, x1*x3*x5, x2*x4, x1*x3, x2, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x6*x1*x6*x1*x6, x2*x3*x5, x2*x4, x2*x3, x1, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x6*x1*x6*x1*x6, x1*x3*x5, x2*x4, x1*x3, x1*x2, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x6*x1*x6*x1*x6, x2*x3*x4*x5, x3, x2, x1, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x6*x1*x6*x1*x6, x1*x3*x5, x1*x2*x4, x3, x2, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x6*x1*x6*x1*x6, x2*x3*x5, x4, x3, x1, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x6*x1*x6*x1*x6, x1*x3*x5, x1*x2*x4, x3, x1*x2, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x6*x1*x6*x1*x6, x5, x2*x3*x4, x2, x1, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x6*x1*x6*x1*x6, x1*x3*x5, x1*x2*x4, x1*x3, x2, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x6*x1*x6*x1*x6, x2*x3*x5, x4, x2*x3, x1, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x6*x1*x6*x1*x6, x1*x3*x5, x1*x2*x4, x1*x3, x1*x2, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x3*x5, x2*x4, x3, x2, x1, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x1*x6*x1*x6*x1*x6, x3*x5, x2*x4, x3, x2, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x2*x6*x1*x6*x1*x6, x3*x5, x2*x4, x3, x1, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x1*x6*x1*x6*x1*x6, x3*x5, x2*x4, x3, x1*x2, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x3*x6*x1*x6*x1*x6, x3*x5, x2*x4, x2, x1, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x1*x6*x1*x6*x1*x6, x3*x5, x2*x4, x1*x3, x2, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x2*x6*x1*x6*x1*x6, x3*x5, x2*x4, x2*x3, x1, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x1*x6*x1*x6*x1*x6, x3*x5, x2*x4, x1*x3, x1*x2, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x2*x4*x6*x1*x6*x1*x6, x3*x5, x3, x2, x1, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x1*x6*x1*x6*x1*x6, x3*x5, x1*x2*x4, x3, x2, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x2*x6*x1*x6*x1*x6, x3*x5, x4, x3, x1, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x1*x6*x1*x6*x1*x6, x3*x5, x1*x2*x4, x3, x1*x2, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x3*x6*x1*x6*x1*x6, x3*x5, x2*x3*x4, x2, x1, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x1*x6*x1*x6*x1*x6, x3*x5, x1*x2*x4, x1*x3, x2, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x2*x6*x1*x6*x1*x6, x3*x5, x4, x2*x3, x1, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x1*x6*x1*x6*x1*x6, x3*x5, x1*x2*x4, x1*x3, x1*x2, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x3*x5*x6*x1*x6*x1*x6, x2*x4, x3, x2, x1, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x1*x6*x1*x6*x1*x6, x1*x3*x5, x2*x4, x3, x2, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x2*x6*x1*x6*x1*x6, x2*x3*x5, x2*x4, x3, x1, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x1*x6*x1*x6*x1*x6, x1*x3*x5, x2*x4, x3, x1*x2, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x3*x6*x1*x6*x1*x6, x5, x2*x4, x2, x1, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x1*x6*x1*x6*x1*x6, x1*x3*x5, x2*x4, x1*x3, x2, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x2*x6*x1*x6*x1*x6, x2*x3*x5, x2*x4, x2*x3, x1, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x1*x6*x1*x6*x1*x6, x1*x3*x5, x2*x4, x1*x3, x1*x2, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x2*x4*x6*x1*x6*x1*x6, x2*x3*x4*x5, x3, x2, x1, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x1*x6*x1*x6*x1*x6, x1*x3*x5, x1*x2*x4, x3, x2, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x2*x6*x1*x6*x1*x6, x2*x3*x5, x4, x3, x1, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x1*x6*x1*x6*x1*x6, x1*x3*x5, x1*x2*x4, x3, x1*x2, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x3*x6*x1*x6*x1*x6, x5, x2*x3*x4, x2, x1, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x1*x6*x1*x6*x1*x6, x1*x3*x5, x1*x2*x4, x1*x3, x2, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x2*x6*x1*x6*x1*x6, x2*x3*x5, x4, x2*x3, x1, x6^2, x1*x2*x6*x1*x2*x6 ]
[ x1*x6*x1*x6*x1*x6, x1*x3*x5, x1*x2*x4, x1*x3, x1*x2, x6^2,
x1*x2*x6*x1*x2*x6 ]
[ x6*x1*x6*x1*x6, x3*x5, x2*x4, x3, x2, x1, x1*x2*x6*x1*x2*x6 ]
[ x6*x1*x6*x1*x6, x3*x5, x2*x4, x3, x2, x1, x6^2 ]
[ x1^3 ]
[ x1^4 ]
[ x3^3, x2^3, x3^4, x2^2 ]
[ x3^3, x1, x3^4, x2^2 ]
[ x3^3, x1*x2^3, x3^4, x2^2 ]
[ x2^3, x1, x3^4, x2^2 ]
[ x1*x3^3, x2^3, x3^4, x2^2 ]
[ x2^3*x3^3, x1, x3^4, x2^2 ]
[ x1*x3^3, x1*x2^3, x3^4, x2^2 ]
[ x3^3, x2^3, x1, x3^4 ]
[ x3^3, x2^3, x1, x2^2 ]
[ x3^3, x2^3, x1, x2^4*x3^4 ]
[ x3^3, x2^3, x1, x2^2*x3^4 ]
[ x2*x3^3, x1*x2^3, x3^4, x2^2 ]
[ x2*x3^3, x2^3, x3^4, x2^2 ]
[ x2*x3^3, x1, x3^4, x2^2 ]
[ x1*x2^3, x2^3, x3^4, x2^2 ]
[ x2^4*x3^3, x1*x2^3, x3^4, x2^2 ]
[ x1*x2^4*x3^3, x2^3, x3^4, x2^2 ]
[ x2^4*x3^3, x1, x3^4, x2^2 ]
[ x2*x3^3, x1*x2^3, x2^3, x2^2 ]
[ x2*x3^3, x1*x2^3, x2^3, x3^4 ]
[ x3^3, x1*x3^2*x2*x3^4, x2*x3^2*x2*x3^2, x2*x3^2*x2*x3^4 ]
[ x3^3, x1, x2*x3^2*x2*x3^2, x2*x3^2*x2*x3^4 ]
[ x3^3, x3^2*x2*x3^4, x2*x3^2*x2*x3^2, x2*x3^2*x2*x3^4 ]
[ x1*x3^2*x2*x3^4, x1, x2*x3^2*x2*x3^2, x2*x3^2*x2*x3^4 ]
[ x1*x3^3, x1*x3^2*x2*x3^4, x2*x3^2*x2*x3^2, x2*x3^2*x2*x3^4 ]
[ x1*x3^2*x2*x3, x1, x2*x3^2*x2*x3^2, x2*x3^2*x2*x3^4 ]
[ x1*x3^3, x3^2*x2*x3^4, x2*x3^2*x2*x3^2, x2*x3^2*x2*x3^4 ]
[ x3^3, x1*x3^2*x2*x3^4, x1, x2*x3^2*x2*x3^4 ]
[ x3^3, x1*x3^2*x2*x3^4, x1, x2*x3^2*x2*x3^2 ]
[ x2^4*x3^3, x1, x2^4, x3^2 ]
[ x2^4*x3^3, x1*x2^2*x3^2*x2, x2^4, x3^2 ]
[ x2^4*x3^3, x2^2*x3^2*x2, x2^4, x3^2 ]
[ x1, x1*x2^2*x3^2*x2, x2^4, x3^2 ]
[ x1*x2*x3, x1, x2^4, x3^2 ]
[ x1*x2^4*x3^3, x1*x2^2*x3^2*x2, x2^4, x3^2 ]
[ x1*x2*x3, x2^2*x3^2*x2, x2^4, x3^2 ]
[ x2^4*x3^3, x1, x1*x2^2*x3^2*x2, x3^2 ]
[ x2^4*x3^3, x1, x1*x2^2*x3^2*x2, x2^4 ]
[ x3^3, x2^3, x1*x2^2*x1*x3^2, x2^2 ]
[ x3^3, x1*x2^2, x1*x2^2*x1*x3^2, x2^2 ]
[ x3^3, x2*x1, x1*x2^2*x1*x3^2, x2^2 ]
[ x2^3, x1*x2^2, x1*x2^2*x1*x3^2, x2^2 ]
[ x1*x2^2*x3^3, x2^3, x1*x2^2*x1*x3^2, x2^2 ]
[ x2^3*x3^3, x1*x2^2, x1*x2^2*x1*x3^2, x2^2 ]
[ x1*x2^2*x3^3, x2*x1, x1*x2^2*x1*x3^2, x2^2 ]
[ x3^3, x2^3, x1*x2^2, x1*x2^2*x1*x3^2 ]
[ x3^3, x2^3, x1*x2^2, x2^2 ]
[ x3^3, x2^3, x1*x2^2, x2^2*x3^2 ]
[ x3^3, x2^3, x1*x2^2, x3^2 ]
[ x3^3, x2^3, x3^4, x2^2 ]
[ x3^3, x1, x3^4, x2^2 ]
[ x3^3, x1*x2^3, x3^4, x2^2 ]
[ x2^3, x1, x3^4, x2^2 ]
[ x1*x3^3, x2^3, x3^4, x2^2 ]
[ x2^3*x3^3, x1, x3^4, x2^2 ]
[ x1*x3^3, x1*x2^3, x3^4, x2^2 ]
[ x3^3, x2^3, x1, x3^4 ]
[ x3^3, x2^3, x1, x2^2 ]
[ x3^3, x2^3, x1, x2^4*x3^4 ]
[ x3^3, x2^3, x1, x2^2*x3^4 ]
[ x2^4*x3^3, x1, x3^4, x2^2 ]
[ x2^4*x3^3, x2^3, x3^4, x2^2 ]
[ x2^4*x3^3, x1*x2^3, x3^4, x2^2 ]
[ x1, x2^3, x3^4, x2^2 ]
[ x2*x3^3, x1, x3^4, x2^2 ]
[ x1*x2^4*x3^3, x2^3, x3^4, x2^2 ]
[ x2*x3^3, x1*x2^3, x3^4, x2^2 ]
[ x2^4*x3^3, x1, x2^3, x2^2 ]
[ x2^4*x3^3, x1, x2^3, x3^4 ]
[ x1*x3^3, x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x1*x3^3, x1, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x1*x3^3, x1*x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x2, x1, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x3^3, x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x1*x2*x3^3, x1, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x3^3, x1*x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x1*x3^3, x2, x1, x1*x3^2*x1*x3^4 ]
[ x1*x3^3, x2, x1, x1*x3^2*x1*x3^2 ]
[ x3^3, x1*x2^3*x3^2, x2^4, x3^2 ]
[ x3^3, x1, x2^4, x3^2 ]
[ x3^3, x2^3*x3^2, x2^4, x3^2 ]
[ x1*x2^3*x3^2, x1, x2^4, x3^2 ]
[ x1*x3^3, x1*x2^3*x3^2, x2^4, x3^2 ]
[ x1*x2^2*x3*x2, x1, x2^4, x3^2 ]
[ x1*x3^3, x2^3*x3^2, x2^4, x3^2 ]
[ x3^3, x1*x2^3*x3^2, x1, x3^2 ]
[ x3^3, x1*x2^3*x3^2, x1, x2^4 ]
[ x3^3, x1*x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x3^3, x1, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x3^3, x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x1*x2, x1, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x1*x3^3, x1*x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x1*x2*x3^3, x1, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x1*x3^3, x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x3^3, x1*x2, x1, x1*x3^2*x1*x3^4 ]
[ x3^3, x1*x2, x1, x1*x3^2*x1*x3^2 ]
[ x3^3, x1, x3^4, x2^4 ]
[ x3^3, x1*x2^3, x3^4, x2^4 ]
[ x3^3, x2^3, x3^4, x2^4 ]
[ x1, x1*x2^3, x3^4, x2^4 ]
[ x1*x2^3*x3^3, x1, x3^4, x2^4 ]
[ x1*x3^3, x1*x2^3, x3^4, x2^4 ]
[ x1*x2^3*x3^3, x2^3, x3^4, x2^4 ]
[ x3^3, x1, x1*x2^3, x2^4 ]
[ x3^3, x1, x1*x2^3, x3^4 ]
[ x1*x2^4*x3^3, x1, x3^4, x2^2 ]
[ x1*x2^4*x3^3, x2^3, x3^4, x2^2 ]
[ x1*x2^4*x3^3, x1*x2^3, x3^4, x2^2 ]
[ x1, x2^3, x3^4, x2^2 ]
[ x1*x2*x3^3, x1, x3^4, x2^2 ]
[ x2^4*x3^3, x2^3, x3^4, x2^2 ]
[ x1*x2*x3^3, x1*x2^3, x3^4, x2^2 ]
[ x1*x2^4*x3^3, x1, x2^3, x2^2 ]
[ x1*x2^4*x3^3, x1, x2^3, x3^4 ]
[ x3^3, x1*x2, x1*x3*x1*x3, x1*x3^2*x1*x3^4 ]
[ x3^3, x1, x1*x3*x1*x3, x1*x3^2*x1*x3^4 ]
[ x3^3, x2, x1*x3*x1*x3, x1*x3^2*x1*x3^4 ]
[ x1*x2, x1, x1*x3*x1*x3, x1*x3^2*x1*x3^4 ]
[ x1*x3^3, x1*x2, x1*x3*x1*x3, x1*x3^2*x1*x3^4 ]
[ x1*x2*x3^3, x1, x1*x3*x1*x3, x1*x3^2*x1*x3^4 ]
[ x1*x3^3, x2, x1*x3*x1*x3, x1*x3^2*x1*x3^4 ]
[ x3^3, x1*x2, x1, x1*x3^2*x1*x3^4 ]
[ x3^3, x1*x2, x1, x1*x3*x1*x3 ]
[ x3^3, x1*x2^3*x3^2, x2^4, x3^2 ]
[ x3^3, x1, x2^4, x3^2 ]
[ x3^3, x2^3*x3^2, x2^4, x3^2 ]
[ x1*x2^3*x3^2, x1, x2^4, x3^2 ]
[ x1*x3^3, x1*x2^3*x3^2, x2^4, x3^2 ]
[ x1*x2^2*x3*x2, x1, x2^4, x3^2 ]
[ x1*x3^3, x2^3*x3^2, x2^4, x3^2 ]
[ x3^3, x1*x2^3*x3^2, x1, x3^2 ]
[ x3^3, x1*x2^3*x3^2, x1, x2^4 ]
[ x3^3, x1*x2^3*x3^2, x2^4, x3^2 ]
[ x3^3, x1, x2^4, x3^2 ]
[ x3^3, x2^3*x3^2, x2^4, x3^2 ]
[ x1*x2^3*x3^2, x1, x2^4, x3^2 ]
[ x1*x3^3, x1*x2^3*x3^2, x2^4, x3^2 ]
[ x1*x2^2*x3*x2, x1, x2^4, x3^2 ]
[ x1*x3^3, x2^3*x3^2, x2^4, x3^2 ]
[ x3^3, x1*x2^3*x3^2, x1, x3^2 ]
[ x3^3, x1*x2^3*x3^2, x1, x2^4 ]
[ x3^3, x2^3*x3^2, x2^4, x3^2 ]
[ x3^3, x1, x2^4, x3^2 ]
[ x3^3, x1*x2^3*x3^2, x2^4, x3^2 ]
[ x2^3*x3^2, x1, x2^4, x3^2 ]
[ x1*x3^3, x2^3*x3^2, x2^4, x3^2 ]
[ x2^2*x3*x2, x1, x2^4, x3^2 ]
[ x1*x3^3, x1*x2^3*x3^2, x2^4, x3^2 ]
[ x3^3, x2^3*x3^2, x1, x3^2 ]
[ x3^3, x2^3*x3^2, x1, x2^4 ]
[ x3^3, x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x3^3, x3^2*x1*x3^4, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x3^3, x2*x3^2*x1*x3^4, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x2, x3^2*x1*x3^4, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x3^2*x1*x3, x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x2*x3^3, x3^2*x1*x3^4, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x3^2*x1*x3, x2*x3^2*x1*x3^4, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x3^3, x2, x3^2*x1*x3^4, x1*x3^2*x1*x3^4 ]
[ x3^3, x2, x3^2*x1*x3^4, x1*x3^2*x1*x3^2 ]
[ x3^3, x2^3*x3^2, x2^4, x3^2 ]
[ x3^3, x1, x2^4, x3^2 ]
[ x3^3, x1*x2^3*x3^2, x2^4, x3^2 ]
[ x2^3*x3^2, x1, x2^4, x3^2 ]
[ x1*x3^3, x2^3*x3^2, x2^4, x3^2 ]
[ x2^2*x3*x2, x1, x2^4, x3^2 ]
[ x1*x3^3, x1*x2^3*x3^2, x2^4, x3^2 ]
[ x3^3, x2^3*x3^2, x1, x3^2 ]
[ x3^3, x2^3*x3^2, x1, x2^4 ]
[ x3^3, x2^2*x3^2*x2, x2^4, x3^2 ]
[ x3^3, x1, x2^4, x3^2 ]
[ x3^3, x1*x2^2*x3^2*x2, x2^4, x3^2 ]
[ x2^2*x3^2*x2, x1, x2^4, x3^2 ]
[ x1*x3^3, x2^2*x3^2*x2, x2^4, x3^2 ]
[ x2^3*x3, x1, x2^4, x3^2 ]
[ x1*x3^3, x1*x2^2*x3^2*x2, x2^4, x3^2 ]
[ x3^3, x2^2*x3^2*x2, x1, x3^2 ]
[ x3^3, x2^2*x3^2*x2, x1, x2^4 ]
[ x2^3*x3^3, x2^3, x2^2, x3^2 ]
[ x2^3*x3^3, x1, x2^2, x3^2 ]
[ x2^3*x3^3, x1*x2^3, x2^2, x3^2 ]
[ x2^3, x1, x2^2, x3^2 ]
[ x1*x2^3*x3^3, x2^3, x2^2, x3^2 ]
[ x3^3, x1, x2^2, x3^2 ]
[ x1*x2^3*x3^3, x1*x2^3, x2^2, x3^2 ]
[ x2^3*x3^3, x2^3, x1, x3^2 ]
[ x2^3*x3^3, x2^3, x1, x2^2 ]
[ x3^3, x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x3^3, x3*x1*x3^5, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x3^3, x2*x3*x1*x3^5, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x2, x3*x1*x3^5, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x3*x1*x3^2, x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x2*x3^3, x3*x1*x3^5, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x3*x1*x3^2, x2*x3*x1*x3^5, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x3^3, x2, x3*x1*x3^5, x1*x3^2*x1*x3^4 ]
[ x3^3, x2, x3*x1*x3^5, x1*x3^2*x1*x3^2 ]
[ x3^3, x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x3^3, x3^2*x1*x3^4, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x3^3, x2*x3^2*x1*x3^4, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x2, x3^2*x1*x3^4, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x3^2*x1*x3, x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x2*x3^3, x3^2*x1*x3^4, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x3^2*x1*x3, x2*x3^2*x1*x3^4, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x3^3, x2, x3^2*x1*x3^4, x1*x3^2*x1*x3^4 ]
[ x3^3, x2, x3^2*x1*x3^4, x1*x3^2*x1*x3^2 ]
[ x1*x2*x1*x2*x1*x2*x3^3, x1*x2*x1, x2*x1*x2*x1*x3^2, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x1*x2*x3^3, x2*x1*x2, x2*x1*x2*x1*x3^2, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x1*x2*x3^3, x1*x2*x1*x2*x1*x2, x2*x1*x2*x1*x3^2, x1*x2*x1*x2 ]
[ x1*x2*x1, x2*x1*x2, x2*x1*x2*x1*x3^2, x1*x2*x1*x2 ]
[ x1*x2*x1*x3^3, x1*x2*x1, x2*x1*x2*x1*x3^2, x1*x2*x1*x2 ]
[ x2*x1*x2*x3^3, x2*x1*x2, x2*x1*x2*x1*x3^2, x1*x2*x1*x2 ]
[ x1*x2*x1*x3^3, x1*x2*x1*x2*x1*x2, x2*x1*x2*x1*x3^2, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x1*x2*x3^3, x1*x2*x1, x2*x1*x2, x2*x1*x2*x1*x3^2 ]
[ x1*x2*x1*x2*x1*x2*x3^3, x1*x2*x1, x2*x1*x2, x1*x2*x1*x2 ]
[ x2^2*x3^3, x1, x2^4, x3^2 ]
[ x2^2*x3^3, x2^3, x2^4, x3^2 ]
[ x2^2*x3^3, x1*x2^3, x2^4, x3^2 ]
[ x1, x2^3, x2^4, x3^2 ]
[ x2^5*x3^3, x1, x2^4, x3^2 ]
[ x1*x2^2*x3^3, x2^3, x2^4, x3^2 ]
[ x2^5*x3^3, x1*x2^3, x2^4, x3^2 ]
[ x2^2*x3^3, x1, x2^3, x3^2 ]
[ x2^2*x3^3, x1, x2^3, x2^4 ]
[ x3^3, x2^3*x3^2, x3^2, x2^2 ]
[ x3^3, x1, x3^2, x2^2 ]
[ x3^3, x1*x2^3*x3^2, x3^2, x2^2 ]
[ x2^3*x3^2, x1, x3^2, x2^2 ]
[ x1*x3^3, x2^3*x3^2, x3^2, x2^2 ]
[ x2^2*x3*x2, x1, x3^2, x2^2 ]
[ x1*x3^3, x1*x2^3*x3^2, x3^2, x2^2 ]
[ x3^3, x2^3*x3^2, x1, x2^2 ]
[ x3^3, x2^3*x3^2, x1, x3^2 ]
[ x2^4*x3^3, x3^2*x1, x2^4, x3^2 ]
[ x2^4*x3^3, x2^3*x3^2*x1, x2^4, x3^2 ]
[ x2^4*x3^3, x2^3, x2^4, x3^2 ]
[ x3^2*x1, x2^3*x3^2*x1, x2^4, x3^2 ]
[ x1*x2*x3, x3^2*x1, x2^4, x3^2 ]
[ x1*x2^4*x3, x2^3*x3^2*x1, x2^4, x3^2 ]
[ x1*x2*x3, x2^3, x2^4, x3^2 ]
[ x2^4*x3^3, x3^2*x1, x2^3*x3^2*x1, x3^2 ]
[ x2^4*x3^3, x3^2*x1, x2^3*x3^2*x1, x2^4 ]
[ x3*x2*x3*x2*x3, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2*x3*x2*x3, x1*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2*x3*x2*x3, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x2, x1*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2*x3*x1*x2*x3, x2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x2*x3*x2*x3*x2*x3, x1*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2*x3*x1*x2*x3, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2*x3*x2*x3, x2, x1*x3^2, x1*x2*x3*x1*x2*x3 ]
[ x3*x2*x3*x2*x3, x2, x1*x3^2, x3^2 ]
[ x2^2*x3^3, x1, x2^4, x3^2 ]
[ x2^2*x3^3, x1*x2^2*x3^2*x2, x2^4, x3^2 ]
[ x2^2*x3^3, x2^2*x3^2*x2, x2^4, x3^2 ]
[ x1, x1*x2^2*x3^2*x2, x2^4, x3^2 ]
[ x1*x2^5*x3, x1, x2^4, x3^2 ]
[ x1*x2^2*x3^3, x1*x2^2*x3^2*x2, x2^4, x3^2 ]
[ x1*x2^5*x3, x2^2*x3^2*x2, x2^4, x3^2 ]
[ x2^2*x3^3, x1, x1*x2^2*x3^2*x2, x3^2 ]
[ x2^2*x3^3, x1, x1*x2^2*x3^2*x2, x2^4 ]
[ x3^3, x1*x2*x1, x3^2, x1*x2*x1*x2 ]
[ x3^3, x2*x1*x2, x3^2, x1*x2*x1*x2 ]
[ x3^3, x1*x2*x1*x2*x1*x2, x3^2, x1*x2*x1*x2 ]
[ x1*x2*x1, x2*x1*x2, x3^2, x1*x2*x1*x2 ]
[ x2*x1*x2*x3^3, x1*x2*x1, x3^2, x1*x2*x1*x2 ]
[ x1*x2*x1*x3^3, x2*x1*x2, x3^2, x1*x2*x1*x2 ]
[ x2*x1*x2*x3^3, x1*x2*x1*x2*x1*x2, x3^2, x1*x2*x1*x2 ]
[ x3^3, x1*x2*x1, x2*x1*x2, x3^2 ]
[ x3^3, x1*x2*x1, x2*x1*x2, x1*x2*x1*x2 ]
[ x2*x1*x2*x1*x2*x3^3, x1*x2*x1, x3^2, x1*x2*x1*x2 ]
[ x2*x1*x2*x1*x2*x3^3, x2*x1*x2, x3^2, x1*x2*x1*x2 ]
[ x2*x1*x2*x1*x2*x3^3, x1*x2*x1*x2*x1*x2, x3^2, x1*x2*x1*x2 ]
[ x1*x2*x1, x2*x1*x2, x3^2, x1*x2*x1*x2 ]
[ x1*x2*x3^3, x1*x2*x1, x3^2, x1*x2*x1*x2 ]
[ x2*x1*x2*x1*x3^3, x2*x1*x2, x3^2, x1*x2*x1*x2 ]
[ x1*x2*x3^3, x1*x2*x1*x2*x1*x2, x3^2, x1*x2*x1*x2 ]
[ x2*x1*x2*x1*x2*x3^3, x1*x2*x1, x2*x1*x2, x3^2 ]
[ x2*x1*x2*x1*x2*x3^3, x1*x2*x1, x2*x1*x2, x1*x2*x1*x2 ]
[ x3^3, x1, x3^4, x2^2 ]
[ x3^3, x2^3, x3^4, x2^2 ]
[ x3^3, x1*x2^3, x3^4, x2^2 ]
[ x1, x2^3, x3^4, x2^2 ]
[ x2^3*x3^3, x1, x3^4, x2^2 ]
[ x1*x3^3, x2^3, x3^4, x2^2 ]
[ x2^3*x3^3, x1*x2^3, x3^4, x2^2 ]
[ x3^3, x1, x2^3, x2^2 ]
[ x3^3, x1, x2^3, x3^4 ]
[ x2^3*x3^3, x1, x3^4, x2^2 ]
[ x2^3*x3^3, x2^3, x3^4, x2^2 ]
[ x2^3*x3^3, x1*x2^3, x3^4, x2^2 ]
[ x1, x2^3, x3^4, x2^2 ]
[ x3^3, x1, x3^4, x2^2 ]
[ x1*x2^3*x3^3, x2^3, x3^4, x2^2 ]
[ x3^3, x1*x2^3, x3^4, x2^2 ]
[ x2^3*x3^3, x1, x2^3, x2^2 ]
[ x2^3*x3^3, x1, x2^3, x3^4 ]
[ x2^5*x3^3, x1, x3^4, x2^2 ]
[ x2^5*x3^3, x2^3, x3^4, x2^2 ]
[ x2^5*x3^3, x1*x2^3, x3^4, x2^2 ]
[ x1, x2^3, x3^4, x2^2 ]
[ x2^2*x3^3, x1, x3^4, x2^2 ]
[ x1*x2^5*x3^3, x2^3, x3^4, x2^2 ]
[ x2^2*x3^3, x1*x2^3, x3^4, x2^2 ]
[ x2^5*x3^3, x1, x2^3, x2^2 ]
[ x2^5*x3^3, x1, x2^3, x3^4 ]
[ x2^5*x3^3, x1, x3^4, x2^2 ]
[ x2^5*x3^3, x2^3, x3^4, x2^2 ]
[ x2^5*x3^3, x1*x2^3, x3^4, x2^2 ]
[ x1, x2^3, x3^4, x2^2 ]
[ x2^2*x3^3, x1, x3^4, x2^2 ]
[ x1*x2^5*x3^3, x2^3, x3^4, x2^2 ]
[ x2^2*x3^3, x1*x2^3, x3^4, x2^2 ]
[ x2^5*x3^3, x1, x2^3, x2^2 ]
[ x2^5*x3^3, x1, x2^3, x3^4 ]
[ x1*x2^3*x3^3, x2^3, x2^2, x3^2 ]
[ x1*x2^3*x3^3, x1, x2^2, x3^2 ]
[ x1*x2^3*x3^3, x1*x2^3, x2^2, x3^2 ]
[ x2^3, x1, x2^2, x3^2 ]
[ x2^3*x3^3, x2^3, x2^2, x3^2 ]
[ x1*x3^3, x1, x2^2, x3^2 ]
[ x2^3*x3^3, x1*x2^3, x2^2, x3^2 ]
[ x1*x2^3*x3^3, x2^3, x1, x3^2 ]
[ x1*x2^3*x3^3, x2^3, x1, x2^2 ]
[ x1*x2*x3^3, x2, x2*x3*x2*x3, x2*x3^2*x2*x3^4 ]
[ x1*x2*x3^3, x1, x2*x3*x2*x3, x2*x3^2*x2*x3^4 ]
[ x1*x2*x3^3, x1*x2, x2*x3*x2*x3, x2*x3^2*x2*x3^4 ]
[ x2, x1, x2*x3*x2*x3, x2*x3^2*x2*x3^4 ]
[ x2*x3^3, x2, x2*x3*x2*x3, x2*x3^2*x2*x3^4 ]
[ x1*x3^3, x1, x2*x3*x2*x3, x2*x3^2*x2*x3^4 ]
[ x2*x3^3, x1*x2, x2*x3*x2*x3, x2*x3^2*x2*x3^4 ]
[ x1*x2*x3^3, x2, x1, x2*x3^2*x2*x3^4 ]
[ x1*x2*x3^3, x2, x1, x2*x3*x2*x3 ]
[ x1*x2*x3^3, x2, x2*x3^2*x2*x3^2, x2*x3^2*x2*x3^4 ]
[ x1*x2*x3^3, x1, x2*x3^2*x2*x3^2, x2*x3^2*x2*x3^4 ]
[ x1*x2*x3^3, x1*x2, x2*x3^2*x2*x3^2, x2*x3^2*x2*x3^4 ]
[ x2, x1, x2*x3^2*x2*x3^2, x2*x3^2*x2*x3^4 ]
[ x2*x3^3, x2, x2*x3^2*x2*x3^2, x2*x3^2*x2*x3^4 ]
[ x1*x3^3, x1, x2*x3^2*x2*x3^2, x2*x3^2*x2*x3^4 ]
[ x2*x3^3, x1*x2, x2*x3^2*x2*x3^2, x2*x3^2*x2*x3^4 ]
[ x1*x2*x3^3, x2, x1, x2*x3^2*x2*x3^4 ]
[ x1*x2*x3^3, x2, x1, x2*x3^2*x2*x3^2 ]
[ x2^3*x3^3, x2^3, x2^2, x3^2 ]
[ x2^3*x3^3, x1, x2^2, x3^2 ]
[ x2^3*x3^3, x1*x2^3, x2^2, x3^2 ]
[ x2^3, x1, x2^2, x3^2 ]
[ x1*x2^3*x3^3, x2^3, x2^2, x3^2 ]
[ x3^3, x1, x2^2, x3^2 ]
[ x1*x2^3*x3^3, x1*x2^3, x2^2, x3^2 ]
[ x2^3*x3^3, x2^3, x1, x3^2 ]
[ x2^3*x3^3, x2^3, x1, x2^2 ]
[ x3^3, x1*x3^2*x2*x3^4, x2*x3*x2*x3, x2*x3^2*x2*x3^4 ]
[ x3^3, x1, x2*x3*x2*x3, x2*x3^2*x2*x3^4 ]
[ x3^3, x3^2*x2*x3^4, x2*x3*x2*x3, x2*x3^2*x2*x3^4 ]
[ x1*x3^2*x2*x3^4, x1, x2*x3*x2*x3, x2*x3^2*x2*x3^4 ]
[ x1*x3^3, x1*x3^2*x2*x3^4, x2*x3*x2*x3, x2*x3^2*x2*x3^4 ]
[ x1*x3^2*x2*x3, x1, x2*x3*x2*x3, x2*x3^2*x2*x3^4 ]
[ x1*x3^3, x3^2*x2*x3^4, x2*x3*x2*x3, x2*x3^2*x2*x3^4 ]
[ x3^3, x1*x3^2*x2*x3^4, x1, x2*x3^2*x2*x3^4 ]
[ x3^3, x1*x3^2*x2*x3^4, x1, x2*x3*x2*x3 ]
[ x3^3, x1*x2*x1*x2*x1*x2*x3^2, x3^2, x1*x2*x1*x2 ]
[ x3^3, x1, x3^2, x1*x2*x1*x2 ]
[ x3^3, x2*x1*x2*x1*x2*x3^2, x3^2, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x1*x2*x3^2, x1, x3^2, x1*x2*x1*x2 ]
[ x1*x3^3, x1*x2*x1*x2*x1*x2*x3^2, x3^2, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x1*x3*x2, x1, x3^2, x1*x2*x1*x2 ]
[ x1*x3^3, x2*x1*x2*x1*x2*x3^2, x3^2, x1*x2*x1*x2 ]
[ x3^3, x1*x2*x1*x2*x1*x2*x3^2, x1, x1*x2*x1*x2 ]
[ x3^3, x1*x2*x1*x2*x1*x2*x3^2, x1, x3^2 ]
[ x1*x3^3, x1, x2^2, x3^2 ]
[ x1*x3^3, x2^2*x3^2*x2, x2^2, x3^2 ]
[ x1*x3^3, x1*x2^2*x3^2*x2, x2^2, x3^2 ]
[ x1, x2^2*x3^2*x2, x2^2, x3^2 ]
[ x1*x2^3*x3, x1, x2^2, x3^2 ]
[ x3^3, x2^2*x3^2*x2, x2^2, x3^2 ]
[ x1*x2^3*x3, x1*x2^2*x3^2*x2, x2^2, x3^2 ]
[ x1*x3^3, x1, x2^2*x3^2*x2, x3^2 ]
[ x1*x3^3, x1, x2^2*x3^2*x2, x2^2 ]
[ x1*x3^3, x1*x2^3*x3^2, x3^2, x2^2 ]
[ x1*x3^3, x1, x3^2, x2^2 ]
[ x1*x3^3, x2^3*x3^2, x3^2, x2^2 ]
[ x1*x2^3*x3^2, x1, x3^2, x2^2 ]
[ x3^3, x1*x2^3*x3^2, x3^2, x2^2 ]
[ x2^2*x3*x2, x1, x3^2, x2^2 ]
[ x3^3, x2^3*x3^2, x3^2, x2^2 ]
[ x1*x3^3, x1*x2^3*x3^2, x1, x3^2 ]
[ x1*x3^3, x1*x2^3*x3^2, x1, x2^2 ]
[ x1*x2^4*x3^3, x1, x2^2, x3^2 ]
[ x1*x2^4*x3^3, x2^3, x2^2, x3^2 ]
[ x1*x2^4*x3^3, x1*x2^3, x2^2, x3^2 ]
[ x1, x2^3, x2^2, x3^2 ]
[ x1*x2*x3^3, x1, x2^2, x3^2 ]
[ x2^4*x3^3, x2^3, x2^2, x3^2 ]
[ x1*x2*x3^3, x1*x2^3, x2^2, x3^2 ]
[ x1*x2^4*x3^3, x1, x2^3, x3^2 ]
[ x1*x2^4*x3^3, x1, x2^3, x2^2 ]
[ x1*x2^3*x3^3, x2^3, x3^2, x2^2 ]
[ x1*x2^3*x3^3, x1, x3^2, x2^2 ]
[ x1*x2^3*x3^3, x1*x2^3, x3^2, x2^2 ]
[ x2^3, x1, x3^2, x2^2 ]
[ x2^3*x3^3, x2^3, x3^2, x2^2 ]
[ x1*x3^3, x1, x3^2, x2^2 ]
[ x2^3*x3^3, x1*x2^3, x3^2, x2^2 ]
[ x1*x2^3*x3^3, x2^3, x1, x3^2 ]
[ x1*x2^3*x3^3, x2^3, x1, x2^2 ]
[ x1*x2^3*x3^3, x2^3, x1, x1*x2^2*x1*x3^2 ]
[ x1*x2^3*x3^3, x2^3, x1, x2^2*x3^2 ]
[ x2*x3^3, x2, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x2*x3^3, x1*x2*x3*x2*x3, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x2*x3^3, x1*x3*x2*x3, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x2, x1*x2*x3*x2*x3, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x2*x3^2*x1*x3, x2, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x3^3, x1*x2*x3*x2*x3, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x2*x3^2*x1*x3, x1*x3*x2*x3, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x2*x3^3, x2, x1*x2*x3*x2*x3, x1*x3*x1*x3 ]
[ x2*x3^3, x2, x1*x2*x3*x2*x3, x2*x3*x2*x3 ]
[ x3^3, x1, x2^2, x3^2 ]
[ x3^3, x1*x2^3*x3^2, x2^2, x3^2 ]
[ x3^3, x2^3*x3^2, x2^2, x3^2 ]
[ x1, x1*x2^3*x3^2, x2^2, x3^2 ]
[ x1*x2^4*x3*x2, x1, x2^2, x3^2 ]
[ x1*x3^3, x1*x2^3*x3^2, x2^2, x3^2 ]
[ x1*x2^4*x3*x2, x2^3*x3^2, x2^2, x3^2 ]
[ x3^3, x1, x1*x2^3*x3^2, x2^2 ]
[ x3^3, x1, x1*x2^3*x3^2, x3^2 ]
[ x2*x3*x2*x3*x2*x3^3, x2, x2*x3*x2*x3, x2*x3*x2*x3^3 ]
[ x2*x3*x2*x3*x2*x3^3, x1, x2*x3*x2*x3, x2*x3*x2*x3^3 ]
[ x2*x3*x2*x3*x2*x3^3, x1*x2, x2*x3*x2*x3, x2*x3*x2*x3^3 ]
[ x2, x1, x2*x3*x2*x3, x2*x3*x2*x3^3 ]
[ x1*x2*x3*x2*x3*x2*x3^3, x2, x2*x3*x2*x3, x2*x3*x2*x3^3 ]
[ x3*x2*x3*x2*x3^3, x1, x2*x3*x2*x3, x2*x3*x2*x3^3 ]
[ x1*x2*x3*x2*x3*x2*x3^3, x1*x2, x2*x3*x2*x3, x2*x3*x2*x3^3 ]
[ x2*x3*x2*x3*x2*x3^3, x2, x1, x2*x3^2*x2 ]
[ x2*x3*x2*x3*x2*x3^3, x2, x1, x2*x3*x2*x3 ]
[ x3*x1*x2*x3*x1*x2*x3, x1*x2*x3^2*x1, x2*x3*x2*x3, x3^2 ]
[ x3*x1*x2*x3*x1*x2*x3, x3^2*x1, x2*x3*x2*x3, x3^2 ]
[ x3*x1*x2*x3*x1*x2*x3, x1*x2, x2*x3*x2*x3, x3^2 ]
[ x1*x2*x3^2*x1, x3^2*x1, x2*x3*x2*x3, x3^2 ]
[ x1*x3*x2*x3*x2*x3, x1*x2*x3^2*x1, x2*x3*x2*x3, x3^2 ]
[ x2*x3*x2*x3*x2*x3, x3^2*x1, x2*x3*x2*x3, x3^2 ]
[ x1*x3*x2*x3*x2*x3, x1*x2, x2*x3*x2*x3, x3^2 ]
[ x3*x1*x2*x3*x1*x2*x3, x1*x2*x3^2*x1, x3^2*x1, x2*x3*x2*x3 ]
[ x3*x1*x2*x3*x1*x2*x3, x1*x2*x3^2*x1, x3^2*x1, x3^2 ]
[ x1*x2^2*x1*x3^3, x2^3*x3^2, x3^2, x2^2 ]
[ x1*x2^2*x1*x3^3, x1*x2^2, x3^2, x2^2 ]
[ x1*x2^2*x1*x3^3, x2*x1*x3^2, x3^2, x2^2 ]
[ x2^3*x3^2, x1*x2^2, x3^2, x2^2 ]
[ x1*x3^3, x2^3*x3^2, x3^2, x2^2 ]
[ x2^2*x3*x2, x1*x2^2, x3^2, x2^2 ]
[ x1*x3^3, x2*x1*x3^2, x3^2, x2^2 ]
[ x1*x2^2*x1*x3^3, x2^3*x3^2, x1*x2^2, x3^2 ]
[ x1*x2^2*x1*x3^3, x2^3*x3^2, x1*x2^2, x2^2 ]
[ x1*x3^3, x2^3, x3^2, x2^2 ]
[ x1*x3^3, x1, x3^2, x2^2 ]
[ x1*x3^3, x1*x2^3, x3^2, x2^2 ]
[ x2^3, x1, x3^2, x2^2 ]
[ x3^3, x2^3, x3^2, x2^2 ]
[ x1*x2^3*x3^3, x1, x3^2, x2^2 ]
[ x3^3, x1*x2^3, x3^2, x2^2 ]
[ x1*x3^3, x2^3, x1, x2^2 ]
[ x1*x3^3, x2^3, x1, x3^2 ]
[ x1*x3*x1*x3*x1*x3, x2^3, x1*x3*x1*x3, x2^2 ]
[ x1*x3*x1*x3*x1*x3, x1, x1*x3*x1*x3, x2^2 ]
[ x1*x3*x1*x3*x1*x3, x1*x2^3, x1*x3*x1*x3, x2^2 ]
[ x2^3, x1, x1*x3*x1*x3, x2^2 ]
[ x3*x1*x3*x1*x3, x2^3, x1*x3*x1*x3, x2^2 ]
[ x1*x2^3*x3*x1*x3*x1*x3, x1, x1*x3*x1*x3, x2^2 ]
[ x3*x1*x3*x1*x3, x1*x2^3, x1*x3*x1*x3, x2^2 ]
[ x1*x3*x1*x3*x1*x3, x2^3, x1, x2^2 ]
[ x1*x3*x1*x3*x1*x3, x2^3, x1, x1*x3*x1*x3 ]
[ x3^3, x1*x2^3*x3^2, x3^2, x2^2 ]
[ x3^3, x1, x3^2, x2^2 ]
[ x3^3, x2^3*x3^2, x3^2, x2^2 ]
[ x1*x2^3*x3^2, x1, x3^2, x2^2 ]
[ x1*x3^3, x1*x2^3*x3^2, x3^2, x2^2 ]
[ x1*x2^2*x3*x2, x1, x3^2, x2^2 ]
[ x1*x3^3, x2^3*x3^2, x3^2, x2^2 ]
[ x3^3, x1*x2^3*x3^2, x1, x2^2 ]
[ x3^3, x1*x2^3*x3^2, x1, x3^2 ]
[ x1*x3*x2*x3*x2*x3^3, x2, x2*x3^2*x2, x2*x3*x2*x3^3 ]
[ x1*x3*x2*x3*x2*x3^3, x1, x2*x3^2*x2, x2*x3*x2*x3^3 ]
[ x1*x3*x2*x3*x2*x3^3, x1*x2, x2*x3^2*x2, x2*x3*x2*x3^3 ]
[ x2, x1, x2*x3^2*x2, x2*x3*x2*x3^3 ]
[ x3*x2*x3*x2*x3^3, x2, x2*x3^2*x2, x2*x3*x2*x3^3 ]
[ x1*x2*x3*x2*x3*x2*x3^3, x1, x2*x3^2*x2, x2*x3*x2*x3^3 ]
[ x3*x2*x3*x2*x3^3, x1*x2, x2*x3^2*x2, x2*x3*x2*x3^3 ]
[ x1*x3*x2*x3*x2*x3^3, x2, x1, x2*x3^2*x2 ]
[ x1*x3*x2*x3*x2*x3^3, x2, x1, x2*x3*x2*x3 ]
[ x2*x1*x2*x3^3, x1*x2*x1, x3^2, x1*x2*x1*x2 ]
[ x2*x1*x2*x3^3, x2*x1*x2, x3^2, x1*x2*x1*x2 ]
[ x2*x1*x2*x3^3, x1*x2*x1*x2*x1*x2, x3^2, x1*x2*x1*x2 ]
[ x1*x2*x1, x2*x1*x2, x3^2, x1*x2*x1*x2 ]
[ x3^3, x1*x2*x1, x3^2, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x1*x2*x3^3, x2*x1*x2, x3^2, x1*x2*x1*x2 ]
[ x3^3, x1*x2*x1*x2*x1*x2, x3^2, x1*x2*x1*x2 ]
[ x2*x1*x2*x3^3, x1*x2*x1, x2*x1*x2, x3^2 ]
[ x2*x1*x2*x3^3, x1*x2*x1, x2*x1*x2, x1*x2*x1*x2 ]
[ x1*x3^3, x2^3*x3^2, x3^2, x2^2 ]
[ x1*x3^3, x1, x3^2, x2^2 ]
[ x1*x3^3, x1*x2^3*x3^2, x3^2, x2^2 ]
[ x2^3*x3^2, x1, x3^2, x2^2 ]
[ x3^3, x2^3*x3^2, x3^2, x2^2 ]
[ x1*x2^2*x3*x2, x1, x3^2, x2^2 ]
[ x3^3, x1*x2^3*x3^2, x3^2, x2^2 ]
[ x1*x3^3, x2^3*x3^2, x1, x3^2 ]
[ x1*x3^3, x2^3*x3^2, x1, x2^2 ]
[ x1*x3^3, x2^3*x3^2, x3^2, x2^2 ]
[ x1*x3^3, x1, x3^2, x2^2 ]
[ x1*x3^3, x1*x2^3*x3^2, x3^2, x2^2 ]
[ x2^3*x3^2, x1, x3^2, x2^2 ]
[ x3^3, x2^3*x3^2, x3^2, x2^2 ]
[ x1*x2^2*x3*x2, x1, x3^2, x2^2 ]
[ x3^3, x1*x2^3*x3^2, x3^2, x2^2 ]
[ x1*x3^3, x2^3*x3^2, x1, x3^2 ]
[ x1*x3^3, x2^3*x3^2, x1, x2^2 ]
[ x2*x1*x2*x1*x2*x3^3, x2, x3^2, x1*x2*x1*x2 ]
[ x2*x1*x2*x1*x2*x3^3, x1*x2*x1*x2*x1, x3^2, x1*x2*x1*x2 ]
[ x2*x1*x2*x1*x2*x3^3, x1*x2*x1*x2*x1*x2, x3^2, x1*x2*x1*x2 ]
[ x2, x1*x2*x1*x2*x1, x3^2, x1*x2*x1*x2 ]
[ x2*x1*x3^3, x2, x3^2, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x3^3, x1*x2*x1*x2*x1, x3^2, x1*x2*x1*x2 ]
[ x2*x1*x3^3, x1*x2*x1*x2*x1*x2, x3^2, x1*x2*x1*x2 ]
[ x2*x1*x2*x1*x2*x3^3, x2, x1*x2*x1*x2*x1, x1*x2*x1*x2 ]
[ x2*x1*x2*x1*x2*x3^3, x2, x1*x2*x1*x2*x1, x3^2 ]
[ x1*x3^3, x1*x2^3, x2^2*x3^2, x2^2 ]
[ x1*x3^3, x1, x2^2*x3^2, x2^2 ]
[ x1*x3^3, x2^3, x2^2*x3^2, x2^2 ]
[ x1*x2^3, x1, x2^2*x3^2, x2^2 ]
[ x3^3, x1*x2^3, x2^2*x3^2, x2^2 ]
[ x2^3*x3^3, x1, x2^2*x3^2, x2^2 ]
[ x3^3, x2^3, x2^2*x3^2, x2^2 ]
[ x1*x3^3, x1*x2^3, x1, x2^2*x3^2 ]
[ x1*x3^3, x1*x2^3, x1, x2^2 ]
[ x1*x3^3, x1*x2^3, x1, x3^2 ]
[ x1*x3^3, x1*x2^3, x1, x1*x2^2*x1*x3^2 ]
[ x2^3*x3^3, x2^3, x3^2, x2^2 ]
[ x2^3*x3^3, x1*x2^2*x1*x3^2*x1, x3^2, x2^2 ]
[ x2^3*x3^3, x2*x3^2*x1, x3^2, x2^2 ]
[ x2^3, x1*x2^2*x1*x3^2*x1, x3^2, x2^2 ]
[ x2*x1*x3, x2^3, x3^2, x2^2 ]
[ x3^3, x1*x2^2*x1*x3^2*x1, x3^2, x2^2 ]
[ x2*x1*x3, x2*x3^2*x1, x3^2, x2^2 ]
[ x2^3*x3^3, x2^3, x1*x2^2*x1*x3^2*x1, x3^2 ]
[ x2^3*x3^3, x2^3, x1*x2^2*x1*x3^2*x1, x2^2 ]
[ x2^3*x3^3, x2^3, x1*x2^2*x1*x3^2*x1, x1*x2^2*x1*x3^2 ]
[ x2^3*x3^3, x2^3, x1*x2^2*x1*x3^2*x1, x2^2*x3^2 ]
[ x2^2*x3*x1*x3*x1*x3, x2^3, x1*x3*x1*x3, x2^2 ]
[ x2^2*x3*x1*x3*x1*x3, x2^2*x1, x1*x3*x1*x3, x2^2 ]
[ x2^2*x3*x1*x3*x1*x3, x1*x2, x1*x3*x1*x3, x2^2 ]
[ x2^3, x2^2*x1, x1*x3*x1*x3, x2^2 ]
[ x1*x3*x1*x3*x1*x3, x2^3, x1*x3*x1*x3, x2^2 ]
[ x1*x2*x1*x3*x1*x3*x1*x3, x2^2*x1, x1*x3*x1*x3, x2^2 ]
[ x1*x3*x1*x3*x1*x3, x1*x2, x1*x3*x1*x3, x2^2 ]
[ x2^2*x3*x1*x3*x1*x3, x2^3, x2^2*x1, x1*x3*x1*x3 ]
[ x2^2*x3*x1*x3*x1*x3, x2^3, x2^2*x1, x2^2 ]
[ x2^2*x3*x1*x3*x1*x3, x2^3, x2^2*x1, x1*x2^2*x3*x1*x3 ]
[ x2^2*x3*x1*x3*x1*x3, x2^3, x2^2*x1, x2^2*x1*x3*x1*x3 ]
[ x3^3, x1*x2^3, x2^2, x3^2 ]
[ x3^3, x1, x2^2, x3^2 ]
[ x3^3, x2^3, x2^2, x3^2 ]
[ x1*x2^3, x1, x2^2, x3^2 ]
[ x1*x3^3, x1*x2^3, x2^2, x3^2 ]
[ x1*x2^3*x3^3, x1, x2^2, x3^2 ]
[ x1*x3^3, x2^3, x2^2, x3^2 ]
[ x3^3, x1*x2^3, x1, x2^2 ]
[ x3^3, x1*x2^3, x1, x3^2 ]
[ x3^3, x1*x2^3, x1, x2^2*x1*x3^2*x1 ]
[ x3^3, x1*x2^3, x1, x2^2*x3^2 ]
[ x3^3, x1*x2^3, x3^2, x2^2 ]
[ x3^3, x1, x3^2, x2^2 ]
[ x3^3, x2^3, x3^2, x2^2 ]
[ x1*x2^3, x1, x3^2, x2^2 ]
[ x1*x3^3, x1*x2^3, x3^2, x2^2 ]
[ x1*x2^3*x3^3, x1, x3^2, x2^2 ]
[ x1*x3^3, x2^3, x3^2, x2^2 ]
[ x3^3, x1*x2^3, x1, x3^2 ]
[ x3^3, x1*x2^3, x1, x2^2 ]
[ x3^3, x1*x2^3, x1, x1*x2^2*x1*x3^2 ]
[ x3^3, x1*x2^3, x1, x2^2*x3^2 ]
[ x2^2*x3*x1*x3*x1*x3, x2^3, x1*x3*x1*x3, x2^2 ]
[ x2^2*x3*x1*x3*x1*x3, x2^2*x1, x1*x3*x1*x3, x2^2 ]
[ x2^2*x3*x1*x3*x1*x3, x1*x2, x1*x3*x1*x3, x2^2 ]
[ x2^3, x2^2*x1, x1*x3*x1*x3, x2^2 ]
[ x1*x3*x1*x3*x1*x3, x2^3, x1*x3*x1*x3, x2^2 ]
[ x1*x2*x1*x3*x1*x3*x1*x3, x2^2*x1, x1*x3*x1*x3, x2^2 ]
[ x1*x3*x1*x3*x1*x3, x1*x2, x1*x3*x1*x3, x2^2 ]
[ x2^2*x3*x1*x3*x1*x3, x2^3, x2^2*x1, x1*x3*x1*x3 ]
[ x2^2*x3*x1*x3*x1*x3, x2^3, x2^2*x1, x2^2 ]
[ x2^2*x3*x1*x3*x1*x3, x2^3, x2^2*x1, x1*x2^2*x3*x1*x3 ]
[ x2^2*x3*x1*x3*x1*x3, x2^3, x2^2*x1, x2^2*x1*x3*x1*x3 ]
[ x3^3, x2^3, x3^2, x2^2 ]
[ x3^3, x1, x3^2, x2^2 ]
[ x3^3, x1*x2^3, x3^2, x2^2 ]
[ x2^3, x1, x3^2, x2^2 ]
[ x1*x3^3, x2^3, x3^2, x2^2 ]
[ x2^3*x3^3, x1, x3^2, x2^2 ]
[ x1*x3^3, x1*x2^3, x3^2, x2^2 ]
[ x3^3, x2^3, x1, x3^2 ]
[ x3^3, x2^3, x1, x2^2 ]
[ x3^3, x2^3, x1, x2^4*x3^2 ]
[ x3^3, x2^3, x1, x2^2*x3^2 ]
[ x3^3, x2^3, x3^4, x2^2 ]
[ x3^3, x1, x3^4, x2^2 ]
[ x3^3, x1*x2^3, x3^4, x2^2 ]
[ x2^3, x1, x3^4, x2^2 ]
[ x1*x3^3, x2^3, x3^4, x2^2 ]
[ x2^3*x3^3, x1, x3^4, x2^2 ]
[ x1*x3^3, x1*x2^3, x3^4, x2^2 ]
[ x3^3, x2^3, x1, x3^4 ]
[ x3^3, x2^3, x1, x2^2 ]
[ x3^3, x2^3, x1, x2^4*x3^4 ]
[ x3^3, x2^3, x1, x2^2*x3^4 ]
[ x2^3*x3^3, x2^3, x3^2, x2^4 ]
[ x2^3*x3^3, x1, x3^2, x2^4 ]
[ x2^3*x3^3, x1*x2^3, x3^2, x2^4 ]
[ x2^3, x1, x3^2, x2^4 ]
[ x1*x2^3*x3^3, x2^3, x3^2, x2^4 ]
[ x3^3, x1, x3^2, x2^4 ]
[ x1*x2^3*x3^3, x1*x2^3, x3^2, x2^4 ]
[ x2^3*x3^3, x2^3, x1, x3^2 ]
[ x2^3*x3^3, x2^3, x1, x2^4 ]
[ x2^3*x3^3, x2^3, x1, x2^2*x3^2 ]
[ x2^3*x3^3, x2^3, x1, x2^4*x3^2 ]
[ x3^3, x2^3, x3^2, x2^2 ]
[ x3^3, x1, x3^2, x2^2 ]
[ x3^3, x1*x2^3, x3^2, x2^2 ]
[ x2^3, x1, x3^2, x2^2 ]
[ x1*x3^3, x2^3, x3^2, x2^2 ]
[ x2^3*x3^3, x1, x3^2, x2^2 ]
[ x1*x3^3, x1*x2^3, x3^2, x2^2 ]
[ x3^3, x2^3, x1, x3^2 ]
[ x3^3, x2^3, x1, x2^2 ]
[ x3^3, x2^3, x1, x2^4*x3^2 ]
[ x3^3, x2^3, x1, x2^2*x3^2 ]
[ x3^3, x2^3, x3^4, x2^2 ]
[ x3^3, x1, x3^4, x2^2 ]
[ x3^3, x1*x2^3, x3^4, x2^2 ]
[ x2^3, x1, x3^4, x2^2 ]
[ x1*x3^3, x2^3, x3^4, x2^2 ]
[ x2^3*x3^3, x1, x3^4, x2^2 ]
[ x1*x3^3, x1*x2^3, x3^4, x2^2 ]
[ x3^3, x2^3, x1, x3^4 ]
[ x3^3, x2^3, x1, x2^2 ]
[ x3^3, x2^3, x1, x2^4*x3^4 ]
[ x3^3, x2^3, x1, x2^2*x3^4 ]
[ x3^3, x2^3*x3^2, x2^4, x3^2 ]
[ x3^3, x1, x2^4, x3^2 ]
[ x3^3, x1*x2^3*x3^2, x2^4, x3^2 ]
[ x2^3*x3^2, x1, x2^4, x3^2 ]
[ x1*x3^3, x2^3*x3^2, x2^4, x3^2 ]
[ x2^2*x3*x2, x1, x2^4, x3^2 ]
[ x1*x3^3, x1*x2^3*x3^2, x2^4, x3^2 ]
[ x3^3, x2^3*x3^2, x1, x3^2 ]
[ x3^3, x2^3*x3^2, x1, x2^4 ]
[ x3^3, x2^2*x3^2*x2, x2^4, x3^2 ]
[ x3^3, x1, x2^4, x3^2 ]
[ x3^3, x1*x2^2*x3^2*x2, x2^4, x3^2 ]
[ x2^2*x3^2*x2, x1, x2^4, x3^2 ]
[ x1*x3^3, x2^2*x3^2*x2, x2^4, x3^2 ]
[ x2^3*x3, x1, x2^4, x3^2 ]
[ x1*x3^3, x1*x2^2*x3^2*x2, x2^4, x3^2 ]
[ x3^3, x2^2*x3^2*x2, x1, x3^2 ]
[ x3^3, x2^2*x3^2*x2, x1, x2^4 ]
[ x3^3, x2^2*x3^2*x2, x2^4, x3^2 ]
[ x3^3, x1, x2^4, x3^2 ]
[ x3^3, x1*x2^2*x3^2*x2, x2^4, x3^2 ]
[ x2^2*x3^2*x2, x1, x2^4, x3^2 ]
[ x1*x3^3, x2^2*x3^2*x2, x2^4, x3^2 ]
[ x2^3*x3, x1, x2^4, x3^2 ]
[ x1*x3^3, x1*x2^2*x3^2*x2, x2^4, x3^2 ]
[ x3^3, x2^2*x3^2*x2, x1, x3^2 ]
[ x3^3, x2^2*x3^2*x2, x1, x2^4 ]
[ x2^3*x3^3, x2^3, x2^2, x3^2 ]
[ x2^3*x3^3, x1, x2^2, x3^2 ]
[ x2^3*x3^3, x1*x2^3, x2^2, x3^2 ]
[ x2^3, x1, x2^2, x3^2 ]
[ x1*x2^3*x3^3, x2^3, x2^2, x3^2 ]
[ x3^3, x1, x2^2, x3^2 ]
[ x1*x2^3*x3^3, x1*x2^3, x2^2, x3^2 ]
[ x2^3*x3^3, x2^3, x1, x3^2 ]
[ x2^3*x3^3, x2^3, x1, x2^2 ]
[ x3^3, x2, x3^2, x1*x3*x1*x3^5 ]
[ x3^3, x1*x3*x1*x3*x1*x3^4, x3^2, x1*x3*x1*x3^5 ]
[ x3^3, x1*x2*x3*x1*x3*x1*x3^4, x3^2, x1*x3*x1*x3^5 ]
[ x2, x1*x3*x1*x3*x1*x3^4, x3^2, x1*x3*x1*x3^5 ]
[ x1*x3*x1*x3*x1*x3, x2, x3^2, x1*x3*x1*x3^5 ]
[ x2*x3^3, x1*x3*x1*x3*x1*x3^4, x3^2, x1*x3*x1*x3^5 ]
[ x1*x3*x1*x3*x1*x3, x1*x2*x3*x1*x3*x1*x3^4, x3^2, x1*x3*x1*x3^5 ]
[ x3^3, x2, x1*x3*x1*x3*x1*x3^4, x1*x3*x1*x3^5 ]
[ x3^3, x2, x1*x3*x1*x3*x1*x3^4, x3^2 ]
[ x2^3*x3^3, x2^3, x2^2, x3^2 ]
[ x2^3*x3^3, x1, x2^2, x3^2 ]
[ x2^3*x3^3, x1*x2^3, x2^2, x3^2 ]
[ x2^3, x1, x2^2, x3^2 ]
[ x1*x2^3*x3^3, x2^3, x2^2, x3^2 ]
[ x3^3, x1, x2^2, x3^2 ]
[ x1*x2^3*x3^3, x1*x2^3, x2^2, x3^2 ]
[ x2^3*x3^3, x2^3, x1, x3^2 ]
[ x2^3*x3^3, x2^3, x1, x2^2 ]
[ x2^3*x3^3, x2^3, x2^2, x3^2 ]
[ x2^3*x3^3, x1, x2^2, x3^2 ]
[ x2^3*x3^3, x1*x2^3, x2^2, x3^2 ]
[ x2^3, x1, x2^2, x3^2 ]
[ x1*x2^3*x3^3, x2^3, x2^2, x3^2 ]
[ x3^3, x1, x2^2, x3^2 ]
[ x1*x2^3*x3^3, x1*x2^3, x2^2, x3^2 ]
[ x2^3*x3^3, x2^3, x1, x3^2 ]
[ x2^3*x3^3, x2^3, x1, x2^2 ]
[ x3^3, x1*x2^2*x3^2*x2, x2^4, x3^2 ]
[ x3^3, x1, x2^4, x3^2 ]
[ x3^3, x2^2*x3^2*x2, x2^4, x3^2 ]
[ x1*x2^2*x3^2*x2, x1, x2^4, x3^2 ]
[ x1*x3^3, x1*x2^2*x3^2*x2, x2^4, x3^2 ]
[ x1*x2^3*x3, x1, x2^4, x3^2 ]
[ x1*x3^3, x2^2*x3^2*x2, x2^4, x3^2 ]
[ x3^3, x1*x2^2*x3^2*x2, x1, x3^2 ]
[ x3^3, x1*x2^2*x3^2*x2, x1, x2^4 ]
[ x2*x3*x1*x3*x1*x3, x1*x2, x3^4, x1*x3*x1*x3^5 ]
[ x2*x3*x1*x3*x1*x3, x1, x3^4, x1*x3*x1*x3^5 ]
[ x2*x3*x1*x3*x1*x3, x2, x3^4, x1*x3*x1*x3^5 ]
[ x1*x2, x1, x3^4, x1*x3*x1*x3^5 ]
[ x1*x2*x3*x1*x3*x1*x3, x1*x2, x3^4, x1*x3*x1*x3^5 ]
[ x1*x3*x1*x3*x1*x3, x1, x3^4, x1*x3*x1*x3^5 ]
[ x1*x2*x3*x1*x3*x1*x3, x2, x3^4, x1*x3*x1*x3^5 ]
[ x2*x3*x1*x3*x1*x3, x1*x2, x1, x1*x3*x1*x3^5 ]
[ x2*x3*x1*x3*x1*x3, x1*x2, x1, x3^4 ]
[ x1*x3*x1*x3^2, x2, x3^2, x1*x3*x1*x3^5 ]
[ x1*x3*x1*x3^2, x3*x1*x3^5, x3^2, x1*x3*x1*x3^5 ]
[ x1*x3*x1*x3^2, x2*x3*x1*x3^5, x3^2, x1*x3*x1*x3^5 ]
[ x2, x3*x1*x3^5, x3^2, x1*x3*x1*x3^5 ]
[ x1*x3*x1*x3*x1*x3, x2, x3^2, x1*x3*x1*x3^5 ]
[ x1*x2*x3*x1*x3^2, x3*x1*x3^5, x3^2, x1*x3*x1*x3^5 ]
[ x1*x3*x1*x3*x1*x3, x2*x3*x1*x3^5, x3^2, x1*x3*x1*x3^5 ]
[ x1*x3*x1*x3^2, x2, x3*x1*x3^5, x1*x3*x1*x3^5 ]
[ x1*x3*x1*x3^2, x2, x3*x1*x3^5, x3^2 ]
[ x3^3, x1*x2^3*x3^2, x2^4, x3^2 ]
[ x3^3, x1, x2^4, x3^2 ]
[ x3^3, x2^3*x3^2, x2^4, x3^2 ]
[ x1*x2^3*x3^2, x1, x2^4, x3^2 ]
[ x1*x3^3, x1*x2^3*x3^2, x2^4, x3^2 ]
[ x1*x2^2*x3*x2, x1, x2^4, x3^2 ]
[ x1*x3^3, x2^3*x3^2, x2^4, x3^2 ]
[ x3^3, x1*x2^3*x3^2, x1, x3^2 ]
[ x3^3, x1*x2^3*x3^2, x1, x2^4 ]
[ x3^3, x1*x2^2*x3^2*x2, x2^4, x3^2 ]
[ x3^3, x1, x2^4, x3^2 ]
[ x3^3, x2^2*x3^2*x2, x2^4, x3^2 ]
[ x1*x2^2*x3^2*x2, x1, x2^4, x3^2 ]
[ x1*x3^3, x1*x2^2*x3^2*x2, x2^4, x3^2 ]
[ x1*x2^3*x3, x1, x2^4, x3^2 ]
[ x1*x3^3, x2^2*x3^2*x2, x2^4, x3^2 ]
[ x3^3, x1*x2^2*x3^2*x2, x1, x3^2 ]
[ x3^3, x1*x2^2*x3^2*x2, x1, x2^4 ]
[ x3^3, x1*x2^2*x3^2*x2, x2^4, x3^2 ]
[ x3^3, x1, x2^4, x3^2 ]
[ x3^3, x2^2*x3^2*x2, x2^4, x3^2 ]
[ x1*x2^2*x3^2*x2, x1, x2^4, x3^2 ]
[ x1*x3^3, x1*x2^2*x3^2*x2, x2^4, x3^2 ]
[ x1*x2^3*x3, x1, x2^4, x3^2 ]
[ x1*x3^3, x2^2*x3^2*x2, x2^4, x3^2 ]
[ x3^3, x1*x2^2*x3^2*x2, x1, x3^2 ]
[ x3^3, x1*x2^2*x3^2*x2, x1, x2^4 ]
[ x2^3*x3^3, x2^3, x2^2, x3^2 ]
[ x2^3*x3^3, x1, x2^2, x3^2 ]
[ x2^3*x3^3, x1*x2^3, x2^2, x3^2 ]
[ x2^3, x1, x2^2, x3^2 ]
[ x1*x2^3*x3^3, x2^3, x2^2, x3^2 ]
[ x3^3, x1, x2^2, x3^2 ]
[ x1*x2^3*x3^3, x1*x2^3, x2^2, x3^2 ]
[ x2^3*x3^3, x2^3, x1, x3^2 ]
[ x2^3*x3^3, x2^3, x1, x2^2 ]
[ x3^3, x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x3^3, x3*x1*x3^5, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x3^3, x2*x3*x1*x3^5, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x2, x3*x1*x3^5, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x3*x1*x3^2, x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x2*x3^3, x3*x1*x3^5, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x3*x1*x3^2, x2*x3*x1*x3^5, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x3^3, x2, x3*x1*x3^5, x1*x3^2*x1*x3^4 ]
[ x3^3, x2, x3*x1*x3^5, x1*x3^2*x1*x3^2 ]
[ x3^3, x1*x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x3^3, x1, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x3^3, x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x1*x2, x1, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x1*x3^3, x1*x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x1*x2*x3^3, x1, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x1*x3^3, x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x3^3, x1*x2, x1, x1*x3^2*x1*x3^4 ]
[ x3^3, x1*x2, x1, x1*x3^2*x1*x3^2 ]
[ x3^3, x1*x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x3^3, x1, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x3^3, x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x1*x2, x1, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x1*x3^3, x1*x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x1*x2*x3^3, x1, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x1*x3^3, x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ]
[ x3^3, x1*x2, x1, x1*x3^2*x1*x3^4 ]
[ x3^3, x1*x2, x1, x1*x3^2*x1*x3^2 ]
[ x3^3, x1, x2^4, x3^2 ]
[ x3^3, x1*x2^3*x3^2, x2^4, x3^2 ]
[ x3^3, x2^3*x3^2, x2^4, x3^2 ]
[ x1, x1*x2^3*x3^2, x2^4, x3^2 ]
[ x1*x2^4*x3*x2, x1, x2^4, x3^2 ]
[ x1*x3^3, x1*x2^3*x3^2, x2^4, x3^2 ]
[ x1*x2^4*x3*x2, x2^3*x3^2, x2^4, x3^2 ]
[ x3^3, x1, x1*x2^3*x3^2, x2^4 ]
[ x3^3, x1, x1*x2^3*x3^2, x3^2 ]
[ x3^3, x1*x2*x1*x2*x1*x2*x3^2, x3^2, x1*x2*x1*x2 ]
[ x3^3, x1, x3^2, x1*x2*x1*x2 ]
[ x3^3, x2*x1*x2*x1*x2*x3^2, x3^2, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x1*x2*x3^2, x1, x3^2, x1*x2*x1*x2 ]
[ x1*x3^3, x1*x2*x1*x2*x1*x2*x3^2, x3^2, x1*x2*x1*x2 ]
[ x2*x1*x2*x3*x2, x1, x3^2, x1*x2*x1*x2 ]
[ x1*x3^3, x2*x1*x2*x1*x2*x3^2, x3^2, x1*x2*x1*x2 ]
[ x3^3, x1*x2*x1*x2*x1*x2*x3^2, x1, x3^2 ]
[ x3^3, x1*x2*x1*x2*x1*x2*x3^2, x1, x1*x2*x1*x2 ]
[ x3^3, x1, x2^2, x3^2 ]
[ x3^3, x1*x2^2*x3^2*x2, x2^2, x3^2 ]
[ x3^3, x2^2*x3^2*x2, x2^2, x3^2 ]
[ x1, x1*x2^2*x3^2*x2, x2^2, x3^2 ]
[ x1*x2^3*x3, x1, x2^2, x3^2 ]
[ x1*x3^3, x1*x2^2*x3^2*x2, x2^2, x3^2 ]
[ x1*x2^3*x3, x2^2*x3^2*x2, x2^2, x3^2 ]
[ x3^3, x1, x1*x2^2*x3^2*x2, x2^2 ]
[ x3^3, x1, x1*x2^2*x3^2*x2, x3^2 ]
[ x1*x3*x1*x3*x1*x3^3, x1*x2, x1*x3^2*x1, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, x1, x1*x3^2*x1, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, x2, x1*x3^2*x1, x1*x3*x1*x3^3 ]
[ x1*x2, x1, x1*x3^2*x1, x1*x3*x1*x3^3 ]
[ x3*x1*x3*x1*x3^3, x1*x2, x1*x3^2*x1, x1*x3*x1*x3^3 ]
[ x2*x3*x1*x3*x1*x3^3, x1, x1*x3^2*x1, x1*x3*x1*x3^3 ]
[ x3*x1*x3*x1*x3^3, x2, x1*x3^2*x1, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, x1*x2, x1, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x1*x3^3, x1*x2, x1, x1*x3^2*x1 ]
[ x3*x1, x2, x2*x1*x2*x3^2*x1, x3^2 ]
[ x3*x1, x1*x3^2, x2*x1*x2*x3^2*x1, x3^2 ]
[ x3*x1, x2*x1*x3^2, x2*x1*x2*x3^2*x1, x3^2 ]
[ x2, x1*x3^2, x2*x1*x2*x3^2*x1, x3^2 ]
[ x3^3, x2, x2*x1*x2*x3^2*x1, x3^2 ]
[ x2*x3*x1, x1*x3^2, x2*x1*x2*x3^2*x1, x3^2 ]
[ x3^3, x2*x1*x3^2, x2*x1*x2*x3^2*x1, x3^2 ]
[ x3*x1, x2, x1*x3^2, x2*x1*x2*x3^2*x1 ]
[ x3*x1, x2, x1*x3^2, x2*x1*x2*x1 ]
[ x1*x3*x1*x3*x1*x3^3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, 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*x1*x3^3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2*x3*x1*x3*x1*x3^3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3*x1*x3^3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, x2, x1, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x1*x3^3, x2, x1, x1*x3^2*x1 ]
[ x2^4*x3^3, x1, x2^4, x3^2 ]
[ x2^4*x3^3, x1*x2^3*x3^2, x2^4, x3^2 ]
[ x2^4*x3^3, x2^3*x3^2, x2^4, x3^2 ]
[ x1, x1*x2^3*x3^2, x2^4, x3^2 ]
[ x1*x2^2*x3*x2, x1, x2^4, x3^2 ]
[ x1*x2^4*x3^3, x1*x2^3*x3^2, x2^4, x3^2 ]
[ x1*x2^2*x3*x2, x2^3*x3^2, x2^4, x3^2 ]
[ x2^4*x3^3, x1, x1*x2^3*x3^2, x2^4 ]
[ x2^4*x3^3, x1, x1*x2^3*x3^2, x3^2 ]
[ x1*x3^3, x2^3*x3^2, x3^2, x2^2 ]
[ x1*x3^3, x1, x3^2, x2^2 ]
[ x1*x3^3, x1*x2^3*x3^2, x3^2, x2^2 ]
[ x2^3*x3^2, x1, x3^2, x2^2 ]
[ x3^3, x2^3*x3^2, x3^2, x2^2 ]
[ x1*x2^2*x3*x2, x1, x3^2, x2^2 ]
[ x3^3, x1*x2^3*x3^2, x3^2, x2^2 ]
[ x1*x3^3, x2^3*x3^2, x1, x3^2 ]
[ x1*x3^3, x2^3*x3^2, x1, x2^2 ]
[ x1*x3^3, x2, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x1*x3^3, x1, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x1*x3^3, x1*x2, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x2, x1, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x3^3, x2, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x1*x2*x3^3, x1, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x3^3, x1*x2, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x1*x3^3, x2, x1, x2*x3*x2*x3 ]
[ x1*x3^3, x2, x1, x1*x3*x1*x3 ]
[ x3^3, x1*x2*x1, x2*x1*x2*x1*x3^2, x1*x2*x1*x2 ]
[ x3^3, x2*x1*x2, x2*x1*x2*x1*x3^2, x1*x2*x1*x2 ]
[ x3^3, x1*x2*x1*x2*x1*x2, x2*x1*x2*x1*x3^2, x1*x2*x1*x2 ]
[ x1*x2*x1, x2*x1*x2, x2*x1*x2*x1*x3^2, x1*x2*x1*x2 ]
[ x2*x1*x2*x3^3, x1*x2*x1, x2*x1*x2*x1*x3^2, x1*x2*x1*x2 ]
[ x1*x2*x1*x3^3, x2*x1*x2, x2*x1*x2*x1*x3^2, x1*x2*x1*x2 ]
[ x2*x1*x2*x3^3, x1*x2*x1*x2*x1*x2, x2*x1*x2*x1*x3^2, x1*x2*x1*x2 ]
[ x3^3, x1*x2*x1, x2*x1*x2, x1*x2*x1*x2 ]
[ x3^3, x1*x2*x1, x2*x1*x2, x2*x1*x2*x1*x3^2 ]
[ x1*x2^4*x3^3, x1, x2^2, x3^2 ]
[ x1*x2^4*x3^3, x2^3, x2^2, x3^2 ]
[ x1*x2^4*x3^3, x1*x2^3, x2^2, x3^2 ]
[ x1, x2^3, x2^2, x3^2 ]
[ x1*x2*x3^3, x1, x2^2, x3^2 ]
[ x2^4*x3^3, x2^3, x2^2, x3^2 ]
[ x1*x2*x3^3, x1*x2^3, x2^2, x3^2 ]
[ x1*x2^4*x3^3, x1, x2^3, x2^2 ]
[ x1*x2^4*x3^3, x1, x2^3, x3^2 ]
[ x1*x2^4*x3^3, x1, x2^2, x3^2 ]
[ x1*x2^4*x3^3, x2^3*x3^2, x2^2, x3^2 ]
[ x1*x2^4*x3^3, x1*x2^3*x3^2, x2^2, x3^2 ]
[ x1, x2^3*x3^2, x2^2, x3^2 ]
[ x1*x2^2*x3*x2, x1, x2^2, x3^2 ]
[ x2^4*x3^3, x2^3*x3^2, x2^2, x3^2 ]
[ x1*x2^2*x3*x2, x1*x2^3*x3^2, x2^2, x3^2 ]
[ x1*x2^4*x3^3, x1, x2^3*x3^2, x2^2 ]
[ x1*x2^4*x3^3, x1, x2^3*x3^2, x3^2 ]
[ x3^3, x2, x2*x1*x2*x1*x3^2, x1*x2*x1*x2 ]
[ x3^3, x1*x2*x1*x2*x1, x2*x1*x2*x1*x3^2, x1*x2*x1*x2 ]
[ x3^3, x1*x2*x1*x2*x1*x2, x2*x1*x2*x1*x3^2, x1*x2*x1*x2 ]
[ x2, x1*x2*x1*x2*x1, x2*x1*x2*x1*x3^2, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x1*x3^3, x2, x2*x1*x2*x1*x3^2, x1*x2*x1*x2 ]
[ x2*x3^3, x1*x2*x1*x2*x1, x2*x1*x2*x1*x3^2, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x1*x3^3, x1*x2*x1*x2*x1*x2, x2*x1*x2*x1*x3^2, x1*x2*x1*x2 ]
[ x3^3, x2, x1*x2*x1*x2*x1, x2*x1*x2*x1*x3^2 ]
[ x3^3, x2, x1*x2*x1*x2*x1, x1*x2*x1*x2 ]
[ x1*x2*x3^3, x1, x2^4, x3^2 ]
[ x1*x2*x3^3, x2^3, x2^4, x3^2 ]
[ x1*x2*x3^3, x1*x2^3, x2^4, x3^2 ]
[ x1, x2^3, x2^4, x3^2 ]
[ x1*x2^4*x3^3, x1, x2^4, x3^2 ]
[ x2*x3^3, x2^3, x2^4, x3^2 ]
[ x1*x2^4*x3^3, x1*x2^3, x2^4, x3^2 ]
[ x1*x2*x3^3, x1, x2^3, x3^2 ]
[ x1*x2*x3^3, x1, x2^3, x2^4 ]
[ x3*x2*x3*x2*x3^3, x2, x2*x3^2*x2, x2*x3*x2*x3^3 ]
[ x3*x2*x3*x2*x3^3, x1, x2*x3^2*x2, x2*x3*x2*x3^3 ]
[ x3*x2*x3*x2*x3^3, x1*x2, x2*x3^2*x2, x2*x3*x2*x3^3 ]
[ x2, x1, x2*x3^2*x2, x2*x3*x2*x3^3 ]
[ x1*x3*x2*x3*x2*x3^3, x2, x2*x3^2*x2, x2*x3*x2*x3^3 ]
[ x2*x3*x2*x3*x2*x3^3, x1, x2*x3^2*x2, x2*x3*x2*x3^3 ]
[ x1*x3*x2*x3*x2*x3^3, x1*x2, x2*x3^2*x2, x2*x3*x2*x3^3 ]
[ x3*x2*x3*x2*x3^3, x2, x1, x2*x3^2*x2 ]
[ x3*x2*x3*x2*x3^3, x2, x1, x2*x3*x2*x3 ]
[ x3^3, x1*x2^3*x3^2, x3^2, x2^2 ]
[ x3^3, x1, x3^2, x2^2 ]
[ x3^3, x2^3*x3^2, x3^2, x2^2 ]
[ x1*x2^3*x3^2, x1, x3^2, x2^2 ]
[ x1*x3^3, x1*x2^3*x3^2, x3^2, x2^2 ]
[ x1*x2^2*x3*x2, x1, x3^2, x2^2 ]
[ x1*x3^3, x2^3*x3^2, x3^2, x2^2 ]
[ x3^3, x1*x2^3*x3^2, x1, x3^2 ]
[ x3^3, x1*x2^3*x3^2, x1, x2^2 ]
[ x2^3*x3^3, x2^3, x2^2*x3^2, x1*x2^2*x1 ]
[ x2^3*x3^3, x1, x2^2*x3^2, x1*x2^2*x1 ]
[ x2^3*x3^3, x1*x2^3, x2^2*x3^2, x1*x2^2*x1 ]
[ x2^3, x1, x2^2*x3^2, x1*x2^2*x1 ]
[ x1*x2^3*x3^3, x2^3, x2^2*x3^2, x1*x2^2*x1 ]
[ x3^3, x1, x2^2*x3^2, x1*x2^2*x1 ]
[ x1*x2^3*x3^3, x1*x2^3, x2^2*x3^2, x1*x2^2*x1 ]
[ x2^3*x3^3, x2^3, x1, x2^2*x3^2 ]
[ x2^3*x3^3, x2^3, x1, x1*x2^2*x1 ]
[ x3^3, x2, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x3^3, x1*x2*x3*x2*x3, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x3^3, x1*x3*x2*x3, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x2, x1*x2*x3*x2*x3, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x3^2*x1*x3, x2, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x2*x3^3, x1*x2*x3*x2*x3, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x3^2*x1*x3, x1*x3*x2*x3, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x3^3, x2, x1*x2*x3*x2*x3, x1*x3*x1*x3 ]
[ x3^3, x2, x1*x2*x3*x2*x3, x2*x3*x2*x3 ]
[ x3^3, x1, x2^4, x3^2 ]
[ x3^3, x1*x2^3*x3^2, x2^4, x3^2 ]
[ x3^3, x2^3*x3^2, x2^4, x3^2 ]
[ x1, x1*x2^3*x3^2, x2^4, x3^2 ]
[ x1*x2^4*x3*x2, x1, x2^4, x3^2 ]
[ x1*x3^3, x1*x2^3*x3^2, x2^4, x3^2 ]
[ x1*x2^4*x3*x2, x2^3*x3^2, x2^4, x3^2 ]
[ x3^3, x1, x1*x2^3*x3^2, x2^4 ]
[ x3^3, x1, x1*x2^3*x3^2, x3^2 ]
[ x1*x2^3*x3^3, x2^3, x3^2, x2^2 ]
[ x1*x2^3*x3^3, x1, x3^2, x2^2 ]
[ x1*x2^3*x3^3, x1*x2^3, x3^2, x2^2 ]
[ x2^3, x1, x3^2, x2^2 ]
[ x2^3*x3^3, x2^3, x3^2, x2^2 ]
[ x1*x3^3, x1, x3^2, x2^2 ]
[ x2^3*x3^3, x1*x2^3, x3^2, x2^2 ]
[ x1*x2^3*x3^3, x2^3, x1, x2^2 ]
[ x1*x2^3*x3^3, x2^3, x1, x3^2 ]
[ x1*x3^3, x2^3, x2^2*x3^2, x3^2 ]
[ x1*x3^3, x1, x2^2*x3^2, x3^2 ]
[ x1*x3^3, x1*x2^3, x2^2*x3^2, x3^2 ]
[ x2^3, x1, x2^2*x3^2, x3^2 ]
[ x3^3, x2^3, x2^2*x3^2, x3^2 ]
[ x1*x2^3*x3^3, x1, x2^2*x3^2, x3^2 ]
[ x3^3, x1*x2^3, x2^2*x3^2, x3^2 ]
[ x1*x3^3, x2^3, x1, x2^2*x3^2 ]
[ x1*x3^3, x2^3, x1, x3^2 ]
[ x1*x3^3, x2^3, x1, x2^2 ]
[ x1*x3^3, x2^3, x1, x2^2*x1*x3^2*x1 ]
[ x1*x2^3*x3^3, x2^3, x1*x2^2*x1*x3^2, x2^2 ]
[ x1*x2^3*x3^3, x1, x1*x2^2*x1*x3^2, x2^2 ]
[ x1*x2^3*x3^3, x1*x2^3, x1*x2^2*x1*x3^2, x2^2 ]
[ x2^3, x1, x1*x2^2*x1*x3^2, x2^2 ]
[ x2^3*x3^3, x2^3, x1*x2^2*x1*x3^2, x2^2 ]
[ x1*x3^3, x1, x1*x2^2*x1*x3^2, x2^2 ]
[ x2^3*x3^3, x1*x2^3, x1*x2^2*x1*x3^2, x2^2 ]
[ x1*x2^3*x3^3, x2^3, x1, x1*x2^2*x1*x3^2 ]
[ x1*x2^3*x3^3, x2^3, x1, x2^2 ]
[ x1*x2^3*x3^3, x2^3, x1, x2^2*x3^2 ]
[ x1*x2^3*x3^3, x2^3, x1, x3^2 ]
[ x1*x2^3*x3^3, x1*x2^3, x1*x2^2*x1*x3^2, x2^2 ]
[ x1*x2^3*x3^3, x1, x1*x2^2*x1*x3^2, x2^2 ]
[ x1*x2^3*x3^3, x2^3, x1*x2^2*x1*x3^2, x2^2 ]
[ x1*x2^3, x1, x1*x2^2*x1*x3^2, x2^2 ]
[ x2^3*x3^3, x1*x2^3, x1*x2^2*x1*x3^2, x2^2 ]
[ x3^3, x1, x1*x2^2*x1*x3^2, x2^2 ]
[ x2^3*x3^3, x2^3, x1*x2^2*x1*x3^2, x2^2 ]
[ x1*x2^3*x3^3, x1*x2^3, x1, x1*x2^2*x1*x3^2 ]
[ x1*x2^3*x3^3, x1*x2^3, x1, x2^2 ]
[ x1*x2^3*x3^3, x1*x2^3, x1, x2^2*x3^2 ]
[ x1*x2^3*x3^3, x1*x2^3, x1, x3^2 ]
[ x1*x2^3*x3^3, x1*x2^3, x2^2*x3^2, x2^2 ]
[ x1*x2^3*x3^3, x1, x2^2*x3^2, x2^2 ]
[ x1*x2^3*x3^3, x2^3, x2^2*x3^2, x2^2 ]
[ x1*x2^3, x1, x2^2*x3^2, x2^2 ]
[ x2^3*x3^3, x1*x2^3, x2^2*x3^2, x2^2 ]
[ x3^3, x1, x2^2*x3^2, x2^2 ]
[ x2^3*x3^3, x2^3, x2^2*x3^2, x2^2 ]
[ x1*x2^3*x3^3, x1*x2^3, x1, x2^2*x3^2 ]
[ x1*x2^3*x3^3, x1*x2^3, x1, x2^2 ]
[ x1*x2^3*x3^3, x1*x2^3, x1, x3^2 ]
[ x1*x2^3*x3^3, x1*x2^3, x1, x1*x2^2*x1*x3^2 ]
[ x3^3, x1*x2^3, x1*x2^2*x1*x3^2, x2^2 ]
[ x3^3, x1, x1*x2^2*x1*x3^2, x2^2 ]
[ x3^3, x2^3, x1*x2^2*x1*x3^2, x2^2 ]
[ x1*x2^3, x1, x1*x2^2*x1*x3^2, x2^2 ]
[ x1*x3^3, x1*x2^3, x1*x2^2*x1*x3^2, x2^2 ]
[ x1*x2^3*x3^3, x1, x1*x2^2*x1*x3^2, x2^2 ]
[ x1*x3^3, x2^3, x1*x2^2*x1*x3^2, x2^2 ]
[ x3^3, x1*x2^3, x1, x1*x2^2*x1*x3^2 ]
[ x3^3, x1*x2^3, x1, x2^2 ]
[ x3^3, x1*x2^3, x1, x2^2*x3^2 ]
[ x3^3, x1*x2^3, x1, x3^2 ]
[ x1*x2^3*x3^3, x2^3, x2^2*x3^2, x2^2 ]
[ x1*x2^3*x3^3, x1, x2^2*x3^2, x2^2 ]
[ x1*x2^3*x3^3, x1*x2^3, x2^2*x3^2, x2^2 ]
[ x2^3, x1, x2^2*x3^2, x2^2 ]
[ x2^3*x3^3, x2^3, x2^2*x3^2, x2^2 ]
[ x1*x3^3, x1, x2^2*x3^2, x2^2 ]
[ x2^3*x3^3, x1*x2^3, x2^2*x3^2, x2^2 ]
[ x1*x2^3*x3^3, x2^3, x1, x2^2*x3^2 ]
[ x1*x2^3*x3^3, x2^3, x1, x2^2 ]
[ x1*x2^3*x3^3, x2^3, x1, x3^2 ]
[ x1*x2^3*x3^3, x2^3, x1, x1*x2^2*x1*x3^2 ]
[ x1*x3*x1*x3*x1*x3^3, x2, x1*x3^2*x1, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, x1, x1*x3^2*x1, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, x1*x2, x1*x3^2*x1, x1*x3*x1*x3^3 ]
[ x2, x1, x1*x3^2*x1, x1*x3*x1*x3^3 ]
[ x3*x1*x3*x1*x3^3, x2, x1*x3^2*x1, x1*x3*x1*x3^3 ]
[ x1*x2*x3*x1*x3*x1*x3^3, x1, x1*x3^2*x1, x1*x3*x1*x3^3 ]
[ x3*x1*x3*x1*x3^3, x1*x2, x1*x3^2*x1, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, x2, x1, x1*x3^2*x1 ]
[ x1*x3*x1*x3*x1*x3^3, x2, x1, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x1*x3^3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, 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*x1*x3^3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2*x3*x1*x3*x1*x3^3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3*x1*x3^3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, x2, x1, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x1*x3^3, x2, x1, x1*x3^2*x1 ]
[ x1*x3*x1*x3*x1*x3^3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, 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*x1*x3^3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2*x3*x1*x3*x1*x3^3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3*x1*x3^3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, x2, x1, x1*x3^2*x1 ]
[ x1*x3*x1*x3*x1*x3^3, x2, x1, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x1*x3^3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, 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*x1*x3^3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2*x3*x1*x3*x1*x3^3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3*x1*x3^3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, x2, x1, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x1*x3^3, x2, x1, x1*x3^2*x1 ]
[ x1*x3*x1*x3*x1*x3^3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, 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*x1*x3^3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2*x3*x1*x3*x1*x3^3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3*x1*x3^3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, x2, x1, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x1*x3^3, x2, x1, x1*x3^2*x1 ]
[ x1*x3*x1*x3*x1*x3^3, x2, x1*x3^2*x1, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, x1, x1*x3^2*x1, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, x1*x2, x1*x3^2*x1, x1*x3*x1*x3^3 ]
[ x2, x1, x1*x3^2*x1, x1*x3*x1*x3^3 ]
[ x3*x1*x3*x1*x3^3, x2, x1*x3^2*x1, x1*x3*x1*x3^3 ]
[ x1*x2*x3*x1*x3*x1*x3^3, x1, x1*x3^2*x1, x1*x3*x1*x3^3 ]
[ x3*x1*x3*x1*x3^3, x1*x2, x1*x3^2*x1, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, x2, x1, x1*x3^2*x1 ]
[ x1*x3*x1*x3*x1*x3^3, x2, x1, x1*x3*x1*x3 ]
[ x3^3, x3*x1*x3*x2, x1*x3*x1*x3, x1*x2*x3*x1*x2*x3 ]
[ x3^3, x2*x3*x1*x2*x3, x1*x3*x1*x3, x1*x2*x3*x1*x2*x3 ]
[ x3^3, x1*x3^2*x1*x2, x1*x3*x1*x3, x1*x2*x3*x1*x2*x3 ]
[ x3*x1*x3*x2, x2*x3*x1*x2*x3, x1*x3*x1*x3, x1*x2*x3*x1*x2*x3 ]
[ x3^2*x1*x3, x3*x1*x3*x2, x1*x3*x1*x3, x1*x2*x3*x1*x2*x3 ]
[ x3*x1*x2*x3^2, x2*x3*x1*x2*x3, x1*x3*x1*x3, x1*x2*x3*x1*x2*x3 ]
[ x3^2*x1*x3, x1*x3^2*x1*x2, x1*x3*x1*x3, x1*x2*x3*x1*x2*x3 ]
[ x3^3, x3*x1*x3*x2, x2*x3*x1*x2*x3, x1*x2*x3*x1*x2*x3 ]
[ x3^3, x3*x1*x3*x2, x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x3, x1, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ]
[ x3, x2^3, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ]
[ x3, x1*x2^3, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ]
[ x1, x2^3, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ]
[ x2^3*x3, x1, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ]
[ x1*x3, x2^3, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ]
[ x2^3*x3, x1*x2^3, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ]
[ x3, x1, x2^3, x1*x2*x1*x2 ]
[ x3, x1, x2^3, x1*x2^2*x1*x2^4 ]
[ x3*x1*x3*x1*x3^3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3*x1*x3^3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3*x1*x3^3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2*x3*x1*x3*x1*x3^3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3*x1*x3^3, x1*x2, x1, x1*x3^2*x1 ]
[ x3*x1*x3*x1*x3^3, x1*x2, x1, x1*x3*x1*x3 ]
[ x1*x3^3, x1*x2*x1*x2*x1*x3^2*x2, x3^2, x1*x2*x1*x2 ]
[ x1*x3^3, x1, x3^2, x1*x2*x1*x2 ]
[ x1*x3^3, x2*x1*x2*x1*x3^2*x2, x3^2, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x1*x3^2*x2, x1, x3^2, x1*x2*x1*x2 ]
[ x3^3, x1*x2*x1*x2*x1*x3^2*x2, x3^2, x1*x2*x1*x2 ]
[ x2*x1*x2*x1*x2*x3, x1, x3^2, x1*x2*x1*x2 ]
[ x3^3, x2*x1*x2*x1*x3^2*x2, x3^2, x1*x2*x1*x2 ]
[ x1*x3^3, x1*x2*x1*x2*x1*x3^2*x2, x1, x3^2 ]
[ x1*x3^3, x1*x2*x1*x2*x1*x3^2*x2, x1, x1*x2*x1*x2 ]
[ x2*x3*x2*x3*x2*x3^3, x2, x2*x3*x2*x3, x2*x3*x2*x3^3 ]
[ x2*x3*x2*x3*x2*x3^3, x1, x2*x3*x2*x3, x2*x3*x2*x3^3 ]
[ x2*x3*x2*x3*x2*x3^3, x1*x2, x2*x3*x2*x3, x2*x3*x2*x3^3 ]
[ x2, x1, x2*x3*x2*x3, x2*x3*x2*x3^3 ]
[ x1*x2*x3*x2*x3*x2*x3^3, x2, x2*x3*x2*x3, x2*x3*x2*x3^3 ]
[ x3*x2*x3*x2*x3^3, x1, x2*x3*x2*x3, x2*x3*x2*x3^3 ]
[ x1*x2*x3*x2*x3*x2*x3^3, x1*x2, x2*x3*x2*x3, x2*x3*x2*x3^3 ]
[ x2*x3*x2*x3*x2*x3^3, x2, x1, x2*x3*x2*x3 ]
[ x2*x3*x2*x3*x2*x3^3, x2, x1, x2*x3^2*x2 ]
[ x3*x1*x3*x1*x3^3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3*x1*x3^3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3*x1*x3^3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2*x3*x1*x3*x1*x3^3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3*x1*x3^3, x1*x2, x1, x1*x3^2*x1 ]
[ x3*x1*x3*x1*x3^3, x1*x2, x1, x1*x3*x1*x3 ]
[ x2^2*x3, x1*x2*x1*x2*x1*x2, x1*x2^2*x1, x1*x2*x1*x2^3 ]
[ x2^2*x3, x2^2*x1, x1*x2^2*x1, x1*x2*x1*x2^3 ]
[ x2^2*x3, x2*x1*x2*x1*x2^3, x1*x2^2*x1, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x2*x1*x2, x2^2*x1, x1*x2^2*x1, x1*x2*x1*x2^3 ]
[ x1*x3, x1*x2*x1*x2*x1*x2, x1*x2^2*x1, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x2*x1*x2^3*x3, x2^2*x1, x1*x2^2*x1, x1*x2*x1*x2^3 ]
[ x1*x3, x2*x1*x2*x1*x2^3, x1*x2^2*x1, x1*x2*x1*x2^3 ]
[ x2^2*x3, x1*x2*x1*x2*x1*x2, x2^2*x1, x1*x2^2*x1 ]
[ x2^2*x3, x1*x2*x1*x2*x1*x2, x2^2*x1, x1*x2*x1*x2 ]
[ x1*x2*x3*x2*x3*x2*x3^3, x2, x2*x3^2*x2, x2*x3*x2*x3^3 ]
[ x1*x2*x3*x2*x3*x2*x3^3, x1, x2*x3^2*x2, x2*x3*x2*x3^3 ]
[ x1*x2*x3*x2*x3*x2*x3^3, x1*x2, x2*x3^2*x2, x2*x3*x2*x3^3 ]
[ x2, x1, x2*x3^2*x2, x2*x3*x2*x3^3 ]
[ x2*x3*x2*x3*x2*x3^3, x2, x2*x3^2*x2, x2*x3*x2*x3^3 ]
[ x1*x3*x2*x3*x2*x3^3, x1, x2*x3^2*x2, x2*x3*x2*x3^3 ]
[ x2*x3*x2*x3*x2*x3^3, x1*x2, x2*x3^2*x2, x2*x3*x2*x3^3 ]
[ x1*x2*x3*x2*x3*x2*x3^3, x2, x1, x2*x3^2*x2 ]
[ x1*x2*x3*x2*x3*x2*x3^3, x2, x1, x2*x3*x2*x3 ]
[ x1*x2*x3*x2*x3*x2*x3^3, x2, x2*x3^2*x2, x2*x3*x2*x3^3 ]
[ x1*x2*x3*x2*x3*x2*x3^3, x1, x2*x3^2*x2, x2*x3*x2*x3^3 ]
[ x1*x2*x3*x2*x3*x2*x3^3, x1*x2, x2*x3^2*x2, x2*x3*x2*x3^3 ]
[ x2, x1, x2*x3^2*x2, x2*x3*x2*x3^3 ]
[ x2*x3*x2*x3*x2*x3^3, x2, x2*x3^2*x2, x2*x3*x2*x3^3 ]
[ x1*x3*x2*x3*x2*x3^3, x1, x2*x3^2*x2, x2*x3*x2*x3^3 ]
[ x2*x3*x2*x3*x2*x3^3, x1*x2, x2*x3^2*x2, x2*x3*x2*x3^3 ]
[ x1*x2*x3*x2*x3*x2*x3^3, x2, x1, x2*x3^2*x2 ]
[ x1*x2*x3*x2*x3*x2*x3^3, x2, x1, x2*x3*x2*x3 ]
[ x3^3, x2^3, x3^2, x2^2 ]
[ x3^3, x1*x2^2, x3^2, x2^2 ]
[ x3^3, x2*x1, x3^2, x2^2 ]
[ x2^3, x1*x2^2, x3^2, x2^2 ]
[ x1*x2^2*x3^3, x2^3, x3^2, x2^2 ]
[ x2^3*x3^3, x1*x2^2, x3^2, x2^2 ]
[ x1*x2^2*x3^3, x2*x1, x3^2, x2^2 ]
[ x3^3, x2^3, x1*x2^2, x2^2 ]
[ x3^3, x2^3, x1*x2^2, x3^2 ]
[ x1*x3^3, x2^3, x3^2, x2^2 ]
[ x1*x3^3, x1, x3^2, x2^2 ]
[ x1*x3^3, x1*x2^3, x3^2, x2^2 ]
[ x2^3, x1, x3^2, x2^2 ]
[ x3^3, x2^3, x3^2, x2^2 ]
[ x1*x2^3*x3^3, x1, x3^2, x2^2 ]
[ x3^3, x1*x2^3, x3^2, x2^2 ]
[ x1*x3^3, x2^3, x1, x2^2 ]
[ x1*x3^3, x2^3, x1, x3^2 ]
[ x1*x2^3*x3^3, x2^3, x2^2, x3^2 ]
[ x1*x2^3*x3^3, x1, x2^2, x3^2 ]
[ x1*x2^3*x3^3, x1*x2^3, x2^2, x3^2 ]
[ x2^3, x1, x2^2, x3^2 ]
[ x2^3*x3^3, x2^3, x2^2, x3^2 ]
[ x1*x3^3, x1, x2^2, x3^2 ]
[ x2^3*x3^3, x1*x2^3, x2^2, x3^2 ]
[ x1*x2^3*x3^3, x2^3, x1, x2^2 ]
[ x1*x2^3*x3^3, x2^3, x1, x3^2 ]
[ x1*x2^3*x3^3, x2^3, x1, x2^2*x1*x3^2*x1 ]
[ x1*x2^3*x3^3, x2^3, x1, x2^2*x3^2 ]
[ x2*x1*x2*x1*x2*x3*x1*x3*x1*x3, x2, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x2*x1*x2*x1*x2*x3*x1*x3*x1*x3, x1*x2*x1*x2*x1, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x2*x1*x2*x1*x2*x3*x1*x3*x1*x3, x1*x2*x1*x2*x1*x2, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x2, x1*x2*x1*x2*x1, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x2*x1*x3*x1*x3*x1*x3, x2, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x3*x1*x3*x1*x3, x1*x2*x1*x2*x1, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x2*x1*x3*x1*x3*x1*x3, x1*x2*x1*x2*x1*x2, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x2*x1*x2*x1*x2*x3*x1*x3*x1*x3, x2, x1*x2*x1*x2*x1, x1*x3*x1*x3 ]
[ x2*x1*x2*x1*x2*x3*x1*x3*x1*x3, x2, x1*x2*x1*x2*x1, x1*x2*x1*x2 ]
[ x2*x1*x2*x1*x2*x3*x1*x3*x1*x3, x2, x1*x2*x1*x2*x1, x2*x1*x2*x3*x1*x3 ]
[ x2*x1*x2*x1*x2*x3*x1*x3*x1*x3, x2, x1*x2*x1*x2*x1, x1*x2*x1*x2*x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x1*x3, x1*x2^3, x1*x3*x1*x3, x2^2 ]
[ x1*x3*x1*x3*x1*x3, x1, x1*x3*x1*x3, x2^2 ]
[ x1*x3*x1*x3*x1*x3, x2^3, x1*x3*x1*x3, x2^2 ]
[ x1*x2^3, x1, x1*x3*x1*x3, x2^2 ]
[ x3*x1*x3*x1*x3, x1*x2^3, x1*x3*x1*x3, x2^2 ]
[ x2^3*x3*x1*x3*x1*x3, x1, x1*x3*x1*x3, x2^2 ]
[ x3*x1*x3*x1*x3, x2^3, x1*x3*x1*x3, x2^2 ]
[ x1*x3*x1*x3*x1*x3, x1*x2^3, x1, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x1*x3, x1*x2^3, x1, x2^2 ]
[ x1*x3*x1*x3*x1*x3, x1*x2^3, x1, x1*x2^2*x3*x1*x3 ]
[ x1*x3*x1*x3*x1*x3, x1*x2^3, x1, x2^2*x1*x3*x1*x3 ]
[ x1*x2^3*x3^3, x1*x2^3, x2^2*x1*x3^2*x1, x3^2 ]
[ x1*x2^3*x3^3, x1, x2^2*x1*x3^2*x1, x3^2 ]
[ x1*x2^3*x3^3, x2^3, x2^2*x1*x3^2*x1, x3^2 ]
[ x1*x2^3, x1, x2^2*x1*x3^2*x1, x3^2 ]
[ x2^3*x3^3, x1*x2^3, x2^2*x1*x3^2*x1, x3^2 ]
[ x3^3, x1, x2^2*x1*x3^2*x1, x3^2 ]
[ x2^3*x3^3, x2^3, x2^2*x1*x3^2*x1, x3^2 ]
[ x1*x2^3*x3^3, x1*x2^3, x1, x2^2*x1*x3^2*x1 ]
[ x1*x2^3*x3^3, x1*x2^3, x1, x3^2 ]
[ x1*x2^3*x3^3, x1*x2^3, x1, x2^2*x3^2 ]
[ x1*x2^3*x3^3, x1*x2^3, x1, x2^2 ]
[ x3^3, x2^3*x3^2*x1, x2^2, x3^2 ]
[ x3^3, x3^2*x1, x2^2, x3^2 ]
[ x3^3, x2^3, x2^2, x3^2 ]
[ x2^3*x3^2*x1, x3^2*x1, x2^2, x3^2 ]
[ x1*x3, x2^3*x3^2*x1, x2^2, x3^2 ]
[ x1*x2^3*x3, x3^2*x1, x2^2, x3^2 ]
[ x1*x3, x2^3, x2^2, x3^2 ]
[ x3^3, x2^3*x3^2*x1, x3^2*x1, x2^2 ]
[ x3^3, x2^3*x3^2*x1, x3^2*x1, x3^2 ]
[ x3^3, x2^3*x3^2*x1, x3^2*x1, x2^2*x1*x3^2*x1 ]
[ x3^3, x2^3*x3^2*x1, x3^2*x1, x2^2*x3^2 ]
[ x3^3, x2^3, x2^2, x3^2 ]
[ x3^3, x1*x3^2, x2^2, x3^2 ]
[ x3^3, x1*x2^3*x3^2, x2^2, x3^2 ]
[ x2^3, x1*x3^2, x2^2, x3^2 ]
[ x3*x1, x2^3, x2^2, x3^2 ]
[ x2^3*x3^3, x1*x3^2, x2^2, x3^2 ]
[ x3*x1, x1*x2^3*x3^2, x2^2, x3^2 ]
[ x3^3, x2^3, x1*x3^2, x2^2 ]
[ x3^3, x2^3, x1*x3^2, x3^2 ]
[ x3^3, x2^3, x1*x3^2, x2^2*x1*x3^2*x1 ]
[ x3^3, x2^3, x1*x3^2, x2^2*x3^2 ]
[ x1*x2^2*x3^3, x2*x1*x3^2, x3^2, x2^2 ]
[ x1*x2^2*x3^3, x1*x2^2, x3^2, x2^2 ]
[ x1*x2^2*x3^3, x2^3*x3^2, x3^2, x2^2 ]
[ x2*x1*x3^2, x1*x2^2, x3^2, x2^2 ]
[ x3^3, x2*x1*x3^2, x3^2, x2^2 ]
[ x2^2*x3*x2, x1*x2^2, x3^2, x2^2 ]
[ x3^3, x2^3*x3^2, x3^2, x2^2 ]
[ x1*x2^2*x3^3, x2*x1*x3^2, x1*x2^2, x2^2 ]
[ x1*x2^2*x3^3, x2*x1*x3^2, x1*x2^2, x3^2 ]
[ x2*x1*x3^3, x1*x2*x1, x3^2, x1*x2*x1*x2 ]
[ x2*x1*x3^3, x2*x1*x2, x3^2, x1*x2*x1*x2 ]
[ x2*x1*x3^3, x1*x2*x1*x2*x1*x2, x3^2, x1*x2*x1*x2 ]
[ x1*x2*x1, x2*x1*x2, x3^2, x1*x2*x1*x2 ]
[ x2*x3^3, x1*x2*x1, x3^2, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x1*x3^3, x2*x1*x2, x3^2, x1*x2*x1*x2 ]
[ x2*x3^3, x1*x2*x1*x2*x1*x2, x3^2, x1*x2*x1*x2 ]
[ x2*x1*x3^3, x1*x2*x1, x2*x1*x2, x1*x2*x1*x2 ]
[ x2*x1*x3^3, x1*x2*x1, x2*x1*x2, x3^2 ]
[ x1*x2^4*x3*x2*x3*x2*x3, x1, x2^2, x2*x3*x2*x3 ]
[ x1*x2^4*x3*x2*x3*x2*x3, x2^3, x2^2, x2*x3*x2*x3 ]
[ x1*x2^4*x3*x2*x3*x2*x3, x1*x2^3, x2^2, x2*x3*x2*x3 ]
[ x1, x2^3, x2^2, x2*x3*x2*x3 ]
[ x1*x2*x3*x2*x3*x2*x3, x1, x2^2, x2*x3*x2*x3 ]
[ x2^4*x3*x2*x3*x2*x3, x2^3, x2^2, x2*x3*x2*x3 ]
[ x1*x2*x3*x2*x3*x2*x3, x1*x2^3, x2^2, x2*x3*x2*x3 ]
[ x1*x2^4*x3*x2*x3*x2*x3, x1, x2^3, x2*x3*x2*x3 ]
[ x1*x2^4*x3*x2*x3*x2*x3, x1, x2^3, x2^2 ]
[ x1*x3*x1*x3*x1*x3^3, x1*x2, x1*x3^2*x1, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, x1, x1*x3^2*x1, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, x2, x1*x3^2*x1, x1*x3*x1*x3^3 ]
[ x1*x2, x1, x1*x3^2*x1, x1*x3*x1*x3^3 ]
[ x3*x1*x3*x1*x3^3, x1*x2, x1*x3^2*x1, x1*x3*x1*x3^3 ]
[ x2*x3*x1*x3*x1*x3^3, x1, x1*x3^2*x1, x1*x3*x1*x3^3 ]
[ x3*x1*x3*x1*x3^3, x2, x1*x3^2*x1, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, x1*x2, x1, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x1*x3^3, x1*x2, x1, x1*x3^2*x1 ]
[ x2^2*x3^3, x1, x2^4, x3^2 ]
[ x2^2*x3^3, x1*x2^2*x3^2*x2, x2^4, x3^2 ]
[ x2^2*x3^3, x2^2*x3^2*x2, x2^4, x3^2 ]
[ x1, x1*x2^2*x3^2*x2, x2^4, x3^2 ]
[ x1*x2^5*x3, x1, x2^4, x3^2 ]
[ x1*x2^2*x3^3, x1*x2^2*x3^2*x2, x2^4, x3^2 ]
[ x1*x2^5*x3, x2^2*x3^2*x2, x2^4, x3^2 ]
[ x2^2*x3^3, x1, x1*x2^2*x3^2*x2, x2^4 ]
[ x2^2*x3^3, x1, x1*x2^2*x3^2*x2, x3^2 ]
[ x3*x1*x3*x1*x3^3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3*x1*x3^3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3*x1*x3^3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2*x3*x1*x3*x1*x3^3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3*x1*x3^3, x1*x2, x1, x1*x3*x1*x3 ]
[ x3*x1*x3*x1*x3^3, x1*x2, x1, x1*x3^2*x1 ]
[ x3, x2*x1*x2*x1*x2^3, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x3, x1, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x3, x1*x2*x1*x2*x1*x2^3, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x2*x1*x2*x1*x2^3, x1, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x3, x2*x1*x2*x1*x2^3, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x2*x1*x2*x1*x2^3*x3, x1, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x3, x1*x2*x1*x2*x1*x2^3, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x3, x2*x1*x2*x1*x2^3, x1, x1*x2^2*x1 ]
[ x3, x2*x1*x2*x1*x2^3, x1, x1*x2*x1*x2 ]
[ x3*x1*x3*x1*x3, x2, x3^2, x1*x2*x3*x1*x2*x3 ]
[ x3*x1*x3*x1*x3, x1, x3^2, x1*x2*x3*x1*x2*x3 ]
[ x3*x1*x3*x1*x3, x1*x2, x3^2, x1*x2*x3*x1*x2*x3 ]
[ x2, x1, x3^2, x1*x2*x3*x1*x2*x3 ]
[ x1*x3*x1*x3*x1*x3, x2, x3^2, x1*x2*x3*x1*x2*x3 ]
[ x2*x3*x1*x3*x1*x3, x1, x3^2, x1*x2*x3*x1*x2*x3 ]
[ x1*x3*x1*x3*x1*x3, x1*x2, x3^2, x1*x2*x3*x1*x2*x3 ]
[ x3*x1*x3*x1*x3, x2, x1, x3^2 ]
[ x3*x1*x3*x1*x3, x2, x1, x1*x2*x3*x1*x2*x3 ]
[ x1*x4^3*x5, x4^3, x2*x3, x2, x4^2 ]
[ x1*x4^3*x5, x4^3, x2*x3, x1, x4^2 ]
[ x1*x4^3*x5, x4^3, x2*x3, x1*x2, x4^2 ]
[ x1*x4^3*x5, x4^3, x2, x1, x4^2 ]
[ x1*x4^3*x5, x4^3, x1*x2*x3, x2, x4^2 ]
[ x1*x4^3*x5, x4^3, x3, x1, x4^2 ]
[ x1*x4^3*x5, x4^3, x1*x2*x3, x1*x2, x4^2 ]
[ x1*x4^3*x5, x2*x3, x2, x1, x4^2 ]
[ x1*x4^3*x5, x1*x4^3, x2*x3, x2, x4^2 ]
[ x1*x4^3*x5, x2*x4^3, x2*x3, x1, x4^2 ]
[ x1*x4^3*x5, x1*x4^3, x2*x3, x1*x2, x4^2 ]
[ x1*x4^3*x5, x2*x3*x4^3, x2, x1, x4^2 ]
[ x1*x4^3*x5, x1*x4^3, x1*x2*x3, x2, x4^2 ]
[ x1*x4^3*x5, x2*x4^3, x3, x1, x4^2 ]
[ x1*x4^3*x5, x1*x4^3, x1*x2*x3, x1*x2, x4^2 ]
[ x4^3, x2*x3, x2, x1, x4^2 ]
[ x4^3*x5, x4^3, x2*x3, x2, x4^2 ]
[ x1*x2*x4^3*x5, x4^3, x2*x3, x1, x4^2 ]
[ x4^3*x5, x4^3, x2*x3, x1*x2, x4^2 ]
[ x1*x2*x3*x4^3*x5, x4^3, x2, x1, x4^2 ]
[ x4^3*x5, x4^3, x1*x2*x3, x2, x4^2 ]
[ x1*x2*x4^3*x5, x4^3, x3, x1, x4^2 ]
[ x4^3*x5, x4^3, x1*x2*x3, x1*x2, x4^2 ]
[ x1*x5, x2*x3, x2, x1, x4^2 ]
[ x4^3*x5, x1*x4^3, x2*x3, x2, x4^2 ]
[ x1*x2*x4^3*x5, x2*x4^3, x2*x3, x1, x4^2 ]
[ x4^3*x5, x1*x4^3, x2*x3, x1*x2, x4^2 ]
[ x1*x2*x3*x4^3*x5, x2*x3*x4^3, x2, x1, x4^2 ]
[ x4^3*x5, x1*x4^3, x1*x2*x3, x2, x4^2 ]
[ x1*x2*x4^3*x5, x2*x4^3, x3, x1, x4^2 ]
[ x4^3*x5, x1*x4^3, x1*x2*x3, x1*x2, x4^2 ]
[ x1*x4^3*x5, x4^3, x2*x3, x2, x1 ]
gap> LogTo();