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.192/(1)^2(2)^4(4)^1(12)^1/group.2444");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 192 )
gap> P1 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^2(2)^4(4)^1(12)^1/words.group.2444"]);
gap> Append(GROUPS,[P1]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^2(2)^4(4)^3(12)^1/group.2445");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 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, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ]
], size := 192 )
gap> P2 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^2(2)^4(4)^3(12)^1/words.group.2445"]);
gap> Append(GROUPS,[P2]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^2(2)^4(4)^3(12)^1/group.2446");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 192 )
gap> P3 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^2(2)^4(4)^3(12)^1/words.group.2446"]);
gap> Append(GROUPS,[P3]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^2(2)^4(4)^3(12)^1/group.2447");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 192 )
gap> P4 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^2(2)^4(4)^3(12)^1/words.group.2447"]);
gap> Append(GROUPS,[P4]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^2(2)^6(4)^1(12)^1/group.2448");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 192 )
gap> P5 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^2(2)^6(4)^1(12)^1/words.group.2448"]);
gap> Append(GROUPS,[P5]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^2(2)^6(4)^1(12)^1/group.2449");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 192 )
gap> P6 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^2(2)^6(4)^1(12)^1/words.group.2449"]);
gap> Append(GROUPS,[P6]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^2(2)^6(4)^1(12)^1/group.2450");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 192 )
gap> P7 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^2(2)^6(4)^1(12)^1/words.group.2450"]);
gap> Append(GROUPS,[P7]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^2(2)^6(4)^1(12)^1/group.2451");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 192 )
gap> P8 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^2(2)^6(4)^1(12)^1/words.group.2451"]);
gap> Append(GROUPS,[P8]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^2(2)^6(4)^1(12)^1/group.2452");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 192 )
gap> P9 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^2(2)^6(4)^1(12)^1/words.group.2452"]);
gap> Append(GROUPS,[P9]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^2(2)^6(4)^1(12)^1/group.2453");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 192 )
gap> P10 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^2(2)^6(4)^1(12)^1/words.group.2453"]);
gap> Append(GROUPS,[P10]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^2(12)^2/group.2454");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ]
], size := 192 )
gap> P11 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^2(12)^2/words.group.2454"]);
gap> Append(GROUPS,[P11]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(12)^2/group.2455");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 192 )
gap> P12 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(12)^2/words.group.2455"]);
gap> Append(GROUPS,[P12]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(12)^2/group.2456");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 192 )
gap> P13 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(12)^2/words.group.2456"]);
gap> Append(GROUPS,[P13]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(12)^2/group.2457");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 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 := 192 )
gap> P14 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(12)^2/words.group.2457"]);
gap> Append(GROUPS,[P14]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(12)^2/group.2458");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 192 )
gap> P15 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(12)^2/words.group.2458"]);
gap> Append(GROUPS,[P15]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(12)^2/group.2459");
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, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
] ], size := 192 )
gap> P16 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(12)^2/words.group.2459"]);
gap> Append(GROUPS,[P16]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(12)^2/group.2460");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ]
], size := 192 )
gap> P17 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(12)^2/words.group.2460"]);
gap> Append(GROUPS,[P17]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(12)^2/group.2461");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 192 )
gap> P18 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(12)^2/words.group.2461"]);
gap> Append(GROUPS,[P18]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(12)^2/group.2462");
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, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ]
], size := 192 )
gap> P19 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(12)^2/words.group.2462"]);
gap> Append(GROUPS,[P19]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(12)^2/group.2463");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ]
] ], size := 192 )
gap> P20 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(12)^2/words.group.2463"]);
gap> Append(GROUPS,[P20]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(12)^2/group.2464");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ]
] ], size := 192 )
gap> P21 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(12)^2/words.group.2464"]);
gap> Append(GROUPS,[P21]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(12)^2/group.2465");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
] ], size := 192 )
gap> P22 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(12)^2/words.group.2465"]);
gap> Append(GROUPS,[P22]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(24)^2/group.2466");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 192 )
gap> P23 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(24)^2/words.group.2466"]);
gap> Append(GROUPS,[P23]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(24)^2/group.2467");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 192 )
gap> P24 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(24)^2/words.group.2467"]);
gap> Append(GROUPS,[P24]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(4)^2(12)^2/group.2468");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
] ], size := 192 )
gap> P25 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(4)^2(12)^2/words.group.2468"]);
gap> Append(GROUPS,[P25]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(4)^2(12)^2/group.2469");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ]
], size := 192 )
gap> P26 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(4)^2(12)^2/words.group.2469"]);
gap> Append(GROUPS,[P26]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(4)^2(12)^2/group.2470");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 192 )
gap> P27 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(4)^2(12)^2/words.group.2470"]);
gap> Append(GROUPS,[P27]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(4)^2(12)^2/group.2471");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0,
-1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 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 := 192 )
gap> P28 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(4)^2(12)^2/words.group.2471"]);
gap> Append(GROUPS,[P28]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(4)^2(12)^2/group.2472");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
] ], size := 192 )
gap> P29 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(4)^2(12)^2/words.group.2472"]);
gap> Append(GROUPS,[P29]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(4)^2(12)^2/group.2473");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
] ], size := 192 )
gap> P30 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(4)^2(12)^2/words.group.2473"]);
gap> Append(GROUPS,[P30]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(4)^2(12)^2/group.2474");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 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, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
] ], size := 192 )
gap> P31 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(4)^2(12)^2/words.group.2474"]);
gap> Append(GROUPS,[P31]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(4)^2(12)^2/group.2475");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 192 )
gap> P32 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(4)^2(12)^2/words.group.2475"]);
gap> Append(GROUPS,[P32]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(4)^2(12)^2/group.2476");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ -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, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
] ], size := 192 )
gap> P33 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(4)^2(12)^2/words.group.2476"]);
gap> Append(GROUPS,[P33]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(4)^2(12)^2/group.2477");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ]
], size := 192 )
gap> P34 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(4)^2(12)^2/words.group.2477"]);
gap> Append(GROUPS,[P34]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(4)^2(12)^2/group.2478");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
] ], size := 192 )
gap> P35 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(4)^2(12)^2/words.group.2478"]);
gap> Append(GROUPS,[P35]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(4)^2(12)^2/group.2479");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 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, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ]
], size := 192 )
gap> P36 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(4)^2(12)^2/words.group.2479"]);
gap> Append(GROUPS,[P36]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(4)^2(12)^2/group.2480");
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, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 192 )
gap> P37 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(4)^2(12)^2/words.group.2480"]);
gap> Append(GROUPS,[P37]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(4)^2(12)^2/group.2481");
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, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ]
], size := 192 )
gap> P38 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(4)^2(12)^2/words.group.2481"]);
gap> Append(GROUPS,[P38]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(4)^2(12)^2/group.2482");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 192 )
gap> P39 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(4)^2(12)^2/words.group.2482"]);
gap> Append(GROUPS,[P39]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(4)^2(12)^2/group.2483");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 192 )
gap> P40 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(4)^2(12)^2/words.group.2483"]);
gap> Append(GROUPS,[P40]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(4)^2(12)^2/group.2484");
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, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ]
], size := 192 )
gap> P41 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(4)^2(12)^2/words.group.2484"]);
gap> Append(GROUPS,[P41]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(4)^2(12)^2/group.2485");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
] ], size := 192 )
gap> P42 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(4)^2(12)^2/words.group.2485"]);
gap> Append(GROUPS,[P42]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(4)^2(12)^2/group.2486");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
] ], size := 192 )
gap> P43 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(4)^2(12)^2/words.group.2486"]);
gap> Append(GROUPS,[P43]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(4)^2(12)^2/group.2487");
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, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 192 )
gap> P44 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(4)^2(12)^2/words.group.2487"]);
gap> Append(GROUPS,[P44]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(4)^2(12)^2/group.2488");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ]
] ], size := 192 )
gap> P45 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(4)^2(12)^2/words.group.2488"]);
gap> Append(GROUPS,[P45]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(4)^2(12)^2/group.2489");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
] ], size := 192 )
gap> P46 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(4)^2(12)^2/words.group.2489"]);
gap> Append(GROUPS,[P46]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(4)^2(12)^2/group.2490");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ]
] ], size := 192 )
gap> P47 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(4)^2(12)^2/words.group.2490"]);
gap> Append(GROUPS,[P47]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(4)^2(12)^2/group.2491");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 192 )
gap> P48 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(4)^2(12)^2/words.group.2491"]);
gap> Append(GROUPS,[P48]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(4)^2(12)^2/group.2492");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
] ], size := 192 )
gap> P49 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(4)^2(12)^2/words.group.2492"]);
gap> Append(GROUPS,[P49]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(4)^2(12)^2/group.2493");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 192 )
gap> P50 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(4)^2(12)^2/words.group.2493"]);
gap> Append(GROUPS,[P50]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(4)^2(12)^2/group.2494");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ],
[ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 192 )
gap> P51 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(4)^2(12)^2/words.group.2494"]);
gap> Append(GROUPS,[P51]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(4)^2(12)^2/group.2495");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
] ], size := 192 )
gap> P52 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(4)^2(12)^2/words.group.2495"]);
gap> Append(GROUPS,[P52]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^4(4)^2(12)^2/group.2496");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0 ] ]
], size := 192 )
gap> P53 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^4(4)^2(12)^2/words.group.2496"]);
gap> Append(GROUPS,[P53]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^6(12)^2/group.2497");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ] ]
,
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 192 )
gap> P54 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^6(12)^2/words.group.2497"]);
gap> Append(GROUPS,[P54]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^6(12)^2/group.2498");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 192 )
gap> P55 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^6(12)^2/words.group.2498"]);
gap> Append(GROUPS,[P55]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^6(12)^2/group.2499");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
] ], size := 192 )
gap> P56 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^6(12)^2/words.group.2499"]);
gap> Append(GROUPS,[P56]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^6(12)^2/group.2500");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
] ], size := 192 )
gap> P57 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^6(12)^2/words.group.2500"]);
gap> Append(GROUPS,[P57]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^6(12)^2/group.2501");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
] ], size := 192 )
gap> P58 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^6(12)^2/words.group.2501"]);
gap> Append(GROUPS,[P58]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^6(12)^2/group.2502");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
] ], size := 192 )
gap> P59 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^6(12)^2/words.group.2502"]);
gap> Append(GROUPS,[P59]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^6(12)^2/group.2503");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ]
] ], size := 192 )
gap> P60 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^6(12)^2/words.group.2503"]);
gap> Append(GROUPS,[P60]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^6(12)^2/group.2504");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 192 )
gap> P61 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^6(12)^2/words.group.2504"]);
gap> Append(GROUPS,[P61]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^6(12)^2/group.2505");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 192 )
gap> P62 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^6(12)^2/words.group.2505"]);
gap> Append(GROUPS,[P62]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^6(12)^2/group.2506");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ]
], size := 192 )
gap> P63 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^6(12)^2/words.group.2506"]);
gap> Append(GROUPS,[P63]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^6(12)^2/group.2507");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 192 )
gap> P64 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^6(12)^2/words.group.2507"]);
gap> Append(GROUPS,[P64]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^6(12)^2/group.2508");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 192 )
gap> P65 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^6(12)^2/words.group.2508"]);
gap> Append(GROUPS,[P65]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^6(12)^2/group.2509");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ -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, 0, 1 ], [ 0, 0, 0, 0, 1, 0 ] ]
], size := 192 )
gap> P66 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^6(12)^2/words.group.2509"]);
gap> Append(GROUPS,[P66]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^6(12)^2/group.2510");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0,
1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 192 )
gap> P67 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^6(12)^2/words.group.2510"]);
gap> Append(GROUPS,[P67]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^6(12)^2/group.2511");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 192 )
gap> P68 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^6(12)^2/words.group.2511"]);
gap> Append(GROUPS,[P68]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^6(12)^2/group.2512");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 192 )
gap> P69 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^6(12)^2/words.group.2512"]);
gap> Append(GROUPS,[P69]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^6(12)^2/group.2513");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 192 )
gap> P70 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^6(12)^2/words.group.2513"]);
gap> Append(GROUPS,[P70]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^6(12)^2/group.2514");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 192 )
gap> P71 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^6(12)^2/words.group.2514"]);
gap> Append(GROUPS,[P71]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^6(12)^2/group.2515");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 192 )
gap> P72 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^6(12)^2/words.group.2515"]);
gap> Append(GROUPS,[P72]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^6(12)^2/group.2516");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 192 )
gap> P73 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^6(12)^2/words.group.2516"]);
gap> Append(GROUPS,[P73]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^6(12)^2/group.2517");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0,
-1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 192 )
gap> P74 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^6(12)^2/words.group.2517"]);
gap> Append(GROUPS,[P74]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^6(12)^2/group.2518");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
] ], size := 192 )
gap> P75 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^6(12)^2/words.group.2518"]);
gap> Append(GROUPS,[P75]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^6(12)^2/group.2519");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 192 )
gap> P76 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^6(12)^2/words.group.2519"]);
gap> Append(GROUPS,[P76]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^6(12)^2/group.2520");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
] ], size := 192 )
gap> P77 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^6(12)^2/words.group.2520"]);
gap> Append(GROUPS,[P77]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^6(12)^2/group.2521");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ],
[ [ -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, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
] ], size := 192 )
gap> P78 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^6(12)^2/words.group.2521"]);
gap> Append(GROUPS,[P78]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^6(12)^2/group.2522");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ]
] ], size := 192 )
gap> P79 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^6(12)^2/words.group.2522"]);
gap> Append(GROUPS,[P79]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^6(12)^2/group.2523");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ],
[ [ -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, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
] ], size := 192 )
gap> P80 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^6(12)^2/words.group.2523"]);
gap> Append(GROUPS,[P80]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(2)^6(12)^2/group.2524");
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, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ 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, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
] ], size := 192 )
gap> P81 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(2)^6(12)^2/words.group.2524"]);
gap> Append(GROUPS,[P81]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(4)^6(12)^2/group.2525");
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, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 192 )
gap> P82 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.192/(1)^4(4)^6(12)^2/words.group.2525"]);
gap> Append(GROUPS,[P82]);
gap> R := CaratReadBravaisFile("ordnung.192/(1)^4(4)^6(12)^2/group.2526");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
] ], size := 192 )
gap> P83 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.192/(1)^4(4)^6(12)^2/words.group.2526"]);
gap> Append(GROUPS,[P83]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(4)^3(12)^1/min.382");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0,
1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 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> P84 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^2(4)^3(12)^1/words.min.382"]);
gap> Append(GROUPS,[P84]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(4)^3(12)^1/min.383");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 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> P85 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^2(4)^3(12)^1/words.min.383"]);
gap> Append(GROUPS,[P85]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^2(4)^3(12)^1/min.384");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ]
] ], size := 24 )
gap> P86 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^2(4)^3(12)^1/words.min.384"]);
gap> Append(GROUPS,[P86]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(4)^2(12)^2/min.385");
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, 0, -1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 24 )
gap> P87 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(4)^2(12)^2/words.min.385"]);
gap> Append(GROUPS,[P87]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(4)^2(12)^2/min.386");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 24 )
gap> P88 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(4)^2(12)^2/words.min.386"]);
gap> Append(GROUPS,[P88]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(4)^2(12)^2/min.387");
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, 0, -1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 24 )
gap> P89 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(4)^2(12)^2/words.min.387"]);
gap> Append(GROUPS,[P89]);
gap> R := CaratReadBravaisFile("ordnung.24/(1)^4(4)^2(12)^2/min.388");
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, 0, -1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 24 )
gap> P90 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.24/(1)^4(4)^2(12)^2/words.min.388"]);
gap> Append(GROUPS,[P90]);
gap> R := CaratReadBravaisFile("ordnung.384/(1)^2(2)^6(4)^1(12)^1/group.2527");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 384 )
gap> P91 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.384/(1)^2(2)^6(4)^1(12)^1/words.group.2527"]);
gap> Append(GROUPS,[P91]);
gap> R := CaratReadBravaisFile("ordnung.384/(1)^4(2)^4(12)^2/group.2528");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 384 )
gap> P92 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.384/(1)^4(2)^4(12)^2/words.group.2528"]);
gap> Append(GROUPS,[P92]);
gap> R := CaratReadBravaisFile("ordnung.384/(1)^4(2)^4(4)^2(12)^2/group.2529");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -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 := 384 )
gap> P93 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.384/(1)^4(2)^4(4)^2(12)^2/words.group.2529"]);
gap> Append(GROUPS,[P93]);
gap> R := CaratReadBravaisFile("ordnung.384/(1)^4(2)^4(4)^2(12)^2/group.2530");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 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, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ]
], size := 384 )
gap> P94 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.384/(1)^4(2)^4(4)^2(12)^2/words.group.2530"]);
gap> Append(GROUPS,[P94]);
gap> R := CaratReadBravaisFile("ordnung.384/(1)^4(2)^4(4)^2(12)^2/group.2531");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 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 := 384 )
gap> P95 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.384/(1)^4(2)^4(4)^2(12)^2/words.group.2531"]);
gap> Append(GROUPS,[P95]);
gap> R := CaratReadBravaisFile("ordnung.384/(1)^4(2)^6(12)^2/group.2532");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 384 )
gap> P96 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.384/(1)^4(2)^6(12)^2/words.group.2532"]);
gap> Append(GROUPS,[P96]);
gap> R := CaratReadBravaisFile("ordnung.384/(1)^4(2)^6(12)^2/group.2533");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 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 := 384 )
gap> P97 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.384/(1)^4(2)^6(12)^2/words.group.2533"]);
gap> Append(GROUPS,[P97]);
gap> R := CaratReadBravaisFile("ordnung.384/(1)^4(2)^6(12)^2/group.2534");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 384 )
gap> P98 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.384/(1)^4(2)^6(12)^2/words.group.2534"]);
gap> Append(GROUPS,[P98]);
gap> R := CaratReadBravaisFile("ordnung.384/(1)^4(2)^6(12)^2/group.2535");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 384 )
gap> P99 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.384/(1)^4(2)^6(12)^2/words.group.2535"]);
gap> Append(GROUPS,[P99]);
gap> R := CaratReadBravaisFile("ordnung.384/(1)^4(2)^6(12)^2/group.2536");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 384 )
gap> P100 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.384/(1)^4(2)^6(12)^2/words.group.2536"]);
gap> Append(GROUPS,[P100]);
gap> R := CaratReadBravaisFile("ordnung.384/(1)^4(2)^6(12)^2/group.2537");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 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 := 384 )
gap> P101 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.384/(1)^4(2)^6(12)^2/words.group.2537"]);
gap> Append(GROUPS,[P101]);
gap> R := CaratReadBravaisFile("ordnung.384/(1)^4(2)^6(12)^2/group.2538");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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 := 384 )
gap> P102 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.384/(1)^4(2)^6(12)^2/words.group.2538"]);
gap> Append(GROUPS,[P102]);
gap> R := CaratReadBravaisFile("ordnung.384/(1)^4(2)^6(12)^2/group.2539");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 384 )
gap> P103 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.384/(1)^4(2)^6(12)^2/words.group.2539"]);
gap> Append(GROUPS,[P103]);
gap> R := CaratReadBravaisFile("ordnung.384/(1)^4(2)^6(12)^2/group.2540");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 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 := 384 )
gap> P104 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.384/(1)^4(2)^6(12)^2/words.group.2540"]);
gap> Append(GROUPS,[P104]);
gap> R := CaratReadBravaisFile("ordnung.384/(1)^4(2)^6(12)^2/group.2541");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 384 )
gap> P105 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.384/(1)^4(2)^6(12)^2/words.group.2541"]);
gap> Append(GROUPS,[P105]);
gap> R := CaratReadBravaisFile("ordnung.384/(1)^4(2)^6(12)^2/group.2542");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
, [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -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 := 384 )
gap> P106 := Group(R.generators);
<matrix group with 5 generators>
gap> Append(names,["ordnung.384/(1)^4(2)^6(12)^2/words.group.2542"]);
gap> Append(GROUPS,[P106]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^2(4)^1(12)^1/group.2543");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ]
], size := 48 )
gap> P107 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^2(4)^1(12)^1/words.group.2543"]);
gap> Append(GROUPS,[P107]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^2(4)^1(12)^1/group.2544");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ]
], size := 48 )
gap> P108 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^2(4)^1(12)^1/words.group.2544"]);
gap> Append(GROUPS,[P108]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^2(4)^1(12)^1/group.2545");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ]
], size := 48 )
gap> P109 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^2(4)^1(12)^1/words.group.2545"]);
gap> Append(GROUPS,[P109]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^4(8)^1(24)^1/group.2546");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ]
] ], size := 48 )
gap> P110 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^4(8)^1(24)^1/words.group.2546"]);
gap> Append(GROUPS,[P110]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^4(8)^1(24)^1/group.2547");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ]
], size := 48 )
gap> P111 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^4(8)^1(24)^1/words.group.2547"]);
gap> Append(GROUPS,[P111]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^4(8)^1(24)^1/group.2548");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ]
] ], size := 48 )
gap> P112 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^4(8)^1(24)^1/words.group.2548"]);
gap> Append(GROUPS,[P112]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^4(8)^1(24)^1/group.2549");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ]
] ], size := 48 )
gap> P113 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^4(8)^1(24)^1/words.group.2549"]);
gap> Append(GROUPS,[P113]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^4(8)^1(24)^1/min.389");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 48 )
gap> P114 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^4(8)^1(24)^1/words.min.389"]);
gap> Append(GROUPS,[P114]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^4(8)^1(24)^1/min.390");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 48 )
gap> P115 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^4(8)^1(24)^1/words.min.390"]);
gap> Append(GROUPS,[P115]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(2)^4(8)^1(24)^1/min.391");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0,
1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 48 )
gap> P116 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.48/(1)^2(2)^4(8)^1(24)^1/words.min.391"]);
gap> Append(GROUPS,[P116]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(4)^3(12)^1/group.2550");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 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, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ]
], size := 48 )
gap> P117 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(4)^3(12)^1/words.group.2550"]);
gap> Append(GROUPS,[P117]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(4)^7(12)^1/group.2551");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P118 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(4)^7(12)^1/words.group.2551"]);
gap> Append(GROUPS,[P118]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(4)^7(12)^1/group.2552");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P119 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(4)^7(12)^1/words.group.2552"]);
gap> Append(GROUPS,[P119]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(4)^7(12)^1/group.2553");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P120 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(4)^7(12)^1/words.group.2553"]);
gap> Append(GROUPS,[P120]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(4)^7(12)^1/group.2554");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ]
], size := 48 )
gap> P121 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^2(4)^7(12)^1/words.group.2554"]);
gap> Append(GROUPS,[P121]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(4)^7(12)^1/min.392");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ]
] ], size := 48 )
gap> P122 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.48/(1)^2(4)^7(12)^1/words.min.392"]);
gap> Append(GROUPS,[P122]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(4)^7(12)^1/min.393");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ]
] ], size := 48 )
gap> P123 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.48/(1)^2(4)^7(12)^1/words.min.393"]);
gap> Append(GROUPS,[P123]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^2(4)^7(12)^1/min.394");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ]
] ], size := 48 )
gap> P124 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.48/(1)^2(4)^7(12)^1/words.min.394"]);
gap> Append(GROUPS,[P124]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^2(12)^2/group.2555");
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, 0, 1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ]
], size := 48 )
gap> P125 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^2(12)^2/words.group.2555"]);
gap> Append(GROUPS,[P125]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^2(12)^2/group.2556");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0,
1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ]
], size := 48 )
gap> P126 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^2(12)^2/words.group.2556"]);
gap> Append(GROUPS,[P126]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^2(12)^2/group.2557");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0,
1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ]
], size := 48 )
gap> P127 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^2(12)^2/words.group.2557"]);
gap> Append(GROUPS,[P127]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^2(12)^2/group.2558");
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, 0, 1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ]
], size := 48 )
gap> P128 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^2(12)^2/words.group.2558"]);
gap> Append(GROUPS,[P128]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(24)^2/group.2559");
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, 0, -1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P129 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(24)^2/words.group.2559"]);
gap> Append(GROUPS,[P129]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(24)^2/group.2560");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ]
] ], size := 48 )
gap> P130 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(24)^2/words.group.2560"]);
gap> Append(GROUPS,[P130]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(24)^2/group.2561");
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, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 48 )
gap> P131 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(24)^2/words.group.2561"]);
gap> Append(GROUPS,[P131]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(24)^2/group.2562");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
] ], size := 48 )
gap> P132 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(24)^2/words.group.2562"]);
gap> Append(GROUPS,[P132]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(24)^2/group.2563");
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, 0, -1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 48 )
gap> P133 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(24)^2/words.group.2563"]);
gap> Append(GROUPS,[P133]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(24)^2/group.2564");
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, 0, -1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 48 )
gap> P134 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(24)^2/words.group.2564"]);
gap> Append(GROUPS,[P134]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(24)^2/min.395");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0,
1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 48 )
gap> P135 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(24)^2/words.min.395"]);
gap> Append(GROUPS,[P135]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(24)^2/min.396");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0,
1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 48 )
gap> P136 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(24)^2/words.min.396"]);
gap> Append(GROUPS,[P136]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(24)^2/min.397");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0,
1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 48 )
gap> P137 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(24)^2/words.min.397"]);
gap> Append(GROUPS,[P137]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(2)^4(24)^2/min.398");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0,
1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 48 )
gap> P138 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.48/(1)^4(2)^4(24)^2/words.min.398"]);
gap> Append(GROUPS,[P138]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(4)^2(12)^2/group.2565");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 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> P139 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(4)^2(12)^2/words.group.2565"]);
gap> Append(GROUPS,[P139]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(4)^2(12)^2/group.2566");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ]
,
[ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 48 )
gap> P140 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(4)^2(12)^2/words.group.2566"]);
gap> Append(GROUPS,[P140]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(4)^2(12)^2/group.2567");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ]
] ], size := 48 )
gap> P141 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(4)^2(12)^2/words.group.2567"]);
gap> Append(GROUPS,[P141]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(4)^2(12)^2/group.2568");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ]
] ], size := 48 )
gap> P142 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(4)^2(12)^2/words.group.2568"]);
gap> Append(GROUPS,[P142]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(4)^2(12)^2/group.2569");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ]
], size := 48 )
gap> P143 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(4)^2(12)^2/words.group.2569"]);
gap> Append(GROUPS,[P143]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(4)^6(12)^2/group.2570");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 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> P144 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(4)^6(12)^2/words.group.2570"]);
gap> Append(GROUPS,[P144]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(4)^6(12)^2/group.2571");
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, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P145 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(4)^6(12)^2/words.group.2571"]);
gap> Append(GROUPS,[P145]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(4)^6(12)^2/group.2572");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
] ], size := 48 )
gap> P146 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(4)^6(12)^2/words.group.2572"]);
gap> Append(GROUPS,[P146]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(4)^6(12)^2/group.2573");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
] ], size := 48 )
gap> P147 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(4)^6(12)^2/words.group.2573"]);
gap> Append(GROUPS,[P147]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(4)^6(12)^2/group.2574");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
] ], size := 48 )
gap> P148 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(4)^6(12)^2/words.group.2574"]);
gap> Append(GROUPS,[P148]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(4)^6(12)^2/group.2575");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ]
] ], size := 48 )
gap> P149 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(4)^6(12)^2/words.group.2575"]);
gap> Append(GROUPS,[P149]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(4)^6(12)^2/group.2576");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
] ], size := 48 )
gap> P150 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(4)^6(12)^2/words.group.2576"]);
gap> Append(GROUPS,[P150]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(4)^6(12)^2/group.2577");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 48 )
gap> P151 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(4)^6(12)^2/words.group.2577"]);
gap> Append(GROUPS,[P151]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(4)^6(12)^2/group.2578");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P152 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.48/(1)^4(4)^6(12)^2/words.group.2578"]);
gap> Append(GROUPS,[P152]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(4)^6(12)^2/min.399");
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, 0, -1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P153 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.48/(1)^4(4)^6(12)^2/words.min.399"]);
gap> Append(GROUPS,[P153]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(4)^6(12)^2/min.400");
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, 0, -1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P154 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.48/(1)^4(4)^6(12)^2/words.min.400"]);
gap> Append(GROUPS,[P154]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(4)^6(12)^2/min.401");
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, 0, -1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P155 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.48/(1)^4(4)^6(12)^2/words.min.401"]);
gap> Append(GROUPS,[P155]);
gap> R := CaratReadBravaisFile("ordnung.48/(1)^4(4)^6(12)^2/min.402");
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, 0, -1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 48 )
gap> P156 := Group(R.generators);
<matrix group with 2 generators>
gap> Append(names,["ordnung.48/(1)^4(4)^6(12)^2/words.min.402"]);
gap> Append(GROUPS,[P156]);
gap> R := CaratReadBravaisFile("ordnung.768/(1)^4(2)^6(12)^2/group.2579");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 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 := 768 )
gap> P157 := Group(R.generators);
<matrix group with 6 generators>
gap> Append(names,["ordnung.768/(1)^4(2)^6(12)^2/words.group.2579"]);
gap> Append(GROUPS,[P157]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^2(2)^2(4)^1(12)^1/group.2580");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ]
], size := 96 )
gap> P158 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^2(2)^2(4)^1(12)^1/words.group.2580"]);
gap> Append(GROUPS,[P158]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^2(2)^4(4)^1(12)^1/group.2581");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0,
1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 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> P159 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^2(2)^4(4)^1(12)^1/words.group.2581"]);
gap> Append(GROUPS,[P159]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^2(2)^4(4)^1(12)^1/group.2582");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 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> P160 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^2(2)^4(4)^1(12)^1/words.group.2582"]);
gap> Append(GROUPS,[P160]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^2(2)^4(4)^1(12)^1/group.2583");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 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> P161 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^2(2)^4(4)^1(12)^1/words.group.2583"]);
gap> Append(GROUPS,[P161]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^2(2)^4(4)^1(12)^1/group.2584");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ]
] ], size := 96 )
gap> P162 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^2(2)^4(4)^1(12)^1/words.group.2584"]);
gap> Append(GROUPS,[P162]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^2(2)^4(4)^1(12)^1/group.2585");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ]
] ], size := 96 )
gap> P163 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^2(2)^4(4)^1(12)^1/words.group.2585"]);
gap> Append(GROUPS,[P163]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^2(2)^4(4)^1(12)^1/group.2586");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
] ], size := 96 )
gap> P164 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^2(2)^4(4)^1(12)^1/words.group.2586"]);
gap> Append(GROUPS,[P164]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^2(2)^4(4)^3(12)^1/group.2587");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ]
], size := 96 )
gap> P165 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^2(2)^4(4)^3(12)^1/words.group.2587"]);
gap> Append(GROUPS,[P165]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^2(2)^4(4)^3(12)^1/group.2588");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0,
-1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
,
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ]
], size := 96 )
gap> P166 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^2(2)^4(4)^3(12)^1/words.group.2588"]);
gap> Append(GROUPS,[P166]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^2(2)^4(4)^3(12)^1/group.2589");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 96 )
gap> P167 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^2(2)^4(4)^3(12)^1/words.group.2589"]);
gap> Append(GROUPS,[P167]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^2(2)^4(4)^3(12)^1/group.2590");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 96 )
gap> P168 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^2(2)^4(4)^3(12)^1/words.group.2590"]);
gap> Append(GROUPS,[P168]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^2(2)^4(4)^3(12)^1/group.2591");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ]
], size := 96 )
gap> P169 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^2(2)^4(4)^3(12)^1/words.group.2591"]);
gap> Append(GROUPS,[P169]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^2(2)^4(4)^3(12)^1/group.2592");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 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> P170 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^2(2)^4(4)^3(12)^1/words.group.2592"]);
gap> Append(GROUPS,[P170]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^2(2)^4(4)^3(12)^1/group.2593");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
] ], size := 96 )
gap> P171 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^2(2)^4(4)^3(12)^1/words.group.2593"]);
gap> Append(GROUPS,[P171]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^2(2)^4(4)^3(12)^1/group.2594");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 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, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ]
], size := 96 )
gap> P172 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^2(2)^4(4)^3(12)^1/words.group.2594"]);
gap> Append(GROUPS,[P172]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^2(2)^4(4)^3(12)^1/group.2595");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 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> P173 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^2(2)^4(4)^3(12)^1/words.group.2595"]);
gap> Append(GROUPS,[P173]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^2(2)^4(4)^3(12)^1/group.2596");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 96 )
gap> P174 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^2(2)^4(4)^3(12)^1/words.group.2596"]);
gap> Append(GROUPS,[P174]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^2(2)^4(4)^3(12)^1/group.2597");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 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> P175 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^2(2)^4(4)^3(12)^1/words.group.2597"]);
gap> Append(GROUPS,[P175]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^2(2)^4(4)^3(12)^1/group.2598");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 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> P176 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^2(2)^4(4)^3(12)^1/words.group.2598"]);
gap> Append(GROUPS,[P176]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^2(2)^4(4)^3(12)^1/group.2599");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 96 )
gap> P177 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^2(2)^4(4)^3(12)^1/words.group.2599"]);
gap> Append(GROUPS,[P177]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^2(2)^4(4)^3(12)^1/group.2600");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 96 )
gap> P178 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^2(2)^4(4)^3(12)^1/words.group.2600"]);
gap> Append(GROUPS,[P178]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^2(2)^4(4)^3(12)^1/group.2601");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ 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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ]
] ], size := 96 )
gap> P179 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^2(2)^4(4)^3(12)^1/words.group.2601"]);
gap> Append(GROUPS,[P179]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^2(2)^4(4)^3(12)^1/group.2602");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0 ] ]
], size := 96 )
gap> P180 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^2(2)^4(4)^3(12)^1/words.group.2602"]);
gap> Append(GROUPS,[P180]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^2(2)^4(8)^1(24)^1/group.2603");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 96 )
gap> P181 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^2(2)^4(8)^1(24)^1/words.group.2603"]);
gap> Append(GROUPS,[P181]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^2(2)^4(8)^1(24)^1/group.2604");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 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> P182 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^2(2)^4(8)^1(24)^1/words.group.2604"]);
gap> Append(GROUPS,[P182]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^2(4)^7(12)^1/group.2605");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 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> P183 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^2(4)^7(12)^1/words.group.2605"]);
gap> Append(GROUPS,[P183]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^2(4)^7(12)^1/group.2606");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 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, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
] ], size := 96 )
gap> P184 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^2(4)^7(12)^1/words.group.2606"]);
gap> Append(GROUPS,[P184]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^2(12)^2/group.2607");
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, 0, 1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ]
], size := 96 )
gap> P185 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^2(12)^2/words.group.2607"]);
gap> Append(GROUPS,[P185]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^2(12)^2/group.2608");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ]
], size := 96 )
gap> P186 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^2(12)^2/words.group.2608"]);
gap> Append(GROUPS,[P186]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^2(12)^2/group.2609");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ]
], size := 96 )
gap> P187 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^2(12)^2/words.group.2609"]);
gap> Append(GROUPS,[P187]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^2(12)^2/group.2610");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ]
], size := 96 )
gap> P188 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^2(12)^2/words.group.2610"]);
gap> Append(GROUPS,[P188]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^2(12)^2/group.2611");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ]
], size := 96 )
gap> P189 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^2(12)^2/words.group.2611"]);
gap> Append(GROUPS,[P189]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2612");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ] ]
,
[ [ -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, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ]
], size := 96 )
gap> P190 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2612"]);
gap> Append(GROUPS,[P190]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2613");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ] ]
,
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 96 )
gap> P191 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2613"]);
gap> Append(GROUPS,[P191]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2614");
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, 0, -1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 96 )
gap> P192 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2614"]);
gap> Append(GROUPS,[P192]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2615");
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, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ],
[ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 96 )
gap> P193 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2615"]);
gap> Append(GROUPS,[P193]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2616");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 96 )
gap> P194 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2616"]);
gap> Append(GROUPS,[P194]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2617");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 96 )
gap> P195 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2617"]);
gap> Append(GROUPS,[P195]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2618");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 96 )
gap> P196 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2618"]);
gap> Append(GROUPS,[P196]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2619");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 96 )
gap> P197 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2619"]);
gap> Append(GROUPS,[P197]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2620");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 96 )
gap> P198 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2620"]);
gap> Append(GROUPS,[P198]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2621");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 96 )
gap> P199 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2621"]);
gap> Append(GROUPS,[P199]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2622");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 96 )
gap> P200 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2622"]);
gap> Append(GROUPS,[P200]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2623");
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, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
] ], size := 96 )
gap> P201 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2623"]);
gap> Append(GROUPS,[P201]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2624");
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, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
] ], size := 96 )
gap> P202 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2624"]);
gap> Append(GROUPS,[P202]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2625");
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, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
] ], size := 96 )
gap> P203 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2625"]);
gap> Append(GROUPS,[P203]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2626");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 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> P204 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2626"]);
gap> Append(GROUPS,[P204]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2627");
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, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 96 )
gap> P205 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2627"]);
gap> Append(GROUPS,[P205]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2628");
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, 0, -1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 96 )
gap> P206 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2628"]);
gap> Append(GROUPS,[P206]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(12)^2/group.2629");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ]
] ], size := 96 )
gap> P207 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(12)^2/words.group.2629"]);
gap> Append(GROUPS,[P207]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(24)^2/group.2630");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 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> P208 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(24)^2/words.group.2630"]);
gap> Append(GROUPS,[P208]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(24)^2/group.2631");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 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> P209 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(24)^2/words.group.2631"]);
gap> Append(GROUPS,[P209]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(24)^2/group.2632");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ],
[ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 96 )
gap> P210 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(24)^2/words.group.2632"]);
gap> Append(GROUPS,[P210]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(24)^2/group.2633");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 96 )
gap> P211 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(24)^2/words.group.2633"]);
gap> Append(GROUPS,[P211]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(24)^2/group.2634");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 96 )
gap> P212 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(24)^2/words.group.2634"]);
gap> Append(GROUPS,[P212]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(24)^2/group.2635");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ]
], size := 96 )
gap> P213 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(24)^2/words.group.2635"]);
gap> Append(GROUPS,[P213]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(24)^2/group.2636");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -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, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ]
], size := 96 )
gap> P214 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(24)^2/words.group.2636"]);
gap> Append(GROUPS,[P214]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(24)^2/group.2637");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 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> P215 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(24)^2/words.group.2637"]);
gap> Append(GROUPS,[P215]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(24)^2/group.2638");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ],
[ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 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> P216 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(24)^2/words.group.2638"]);
gap> Append(GROUPS,[P216]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(24)^2/group.2639");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 96 )
gap> P217 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(24)^2/words.group.2639"]);
gap> Append(GROUPS,[P217]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(24)^2/group.2640");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 96 )
gap> P218 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(24)^2/words.group.2640"]);
gap> Append(GROUPS,[P218]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(24)^2/group.2641");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ]
] ], size := 96 )
gap> P219 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(24)^2/words.group.2641"]);
gap> Append(GROUPS,[P219]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(4)^2(12)^2/group.2642");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
] ], size := 96 )
gap> P220 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2642"]);
gap> Append(GROUPS,[P220]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(4)^2(12)^2/group.2643");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 96 )
gap> P221 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2643"]);
gap> Append(GROUPS,[P221]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(4)^2(12)^2/group.2644");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
] ], size := 96 )
gap> P222 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2644"]);
gap> Append(GROUPS,[P222]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(4)^2(12)^2/group.2645");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0,
-1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 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> P223 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2645"]);
gap> Append(GROUPS,[P223]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(4)^2(12)^2/group.2646");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0,
-1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 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> P224 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2646"]);
gap> Append(GROUPS,[P224]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(4)^2(12)^2/group.2647");
rec(
generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0,
-1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 96 )
gap> P225 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2647"]);
gap> Append(GROUPS,[P225]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(4)^2(12)^2/group.2648");
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, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ]
], size := 96 )
gap> P226 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2648"]);
gap> Append(GROUPS,[P226]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(4)^2(12)^2/group.2649");
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, 0, -1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
,
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
] ], size := 96 )
gap> P227 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2649"]);
gap> Append(GROUPS,[P227]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(4)^2(12)^2/group.2650");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ]
], size := 96 )
gap> P228 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2650"]);
gap> Append(GROUPS,[P228]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(4)^2(12)^2/group.2651");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ]
], size := 96 )
gap> P229 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2651"]);
gap> Append(GROUPS,[P229]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(4)^2(12)^2/group.2652");
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, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ]
], size := 96 )
gap> P230 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2652"]);
gap> Append(GROUPS,[P230]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(4)^2(12)^2/group.2653");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ -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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ]
] ], size := 96 )
gap> P231 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2653"]);
gap> Append(GROUPS,[P231]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(4)^2(12)^2/group.2654");
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, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ -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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ]
] ], size := 96 )
gap> P232 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2654"]);
gap> Append(GROUPS,[P232]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(4)^2(12)^2/group.2655");
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, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
] ], size := 96 )
gap> P233 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2655"]);
gap> Append(GROUPS,[P233]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(4)^2(12)^2/group.2656");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ] ]
,
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ]
], size := 96 )
gap> P234 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2656"]);
gap> Append(GROUPS,[P234]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(4)^2(12)^2/group.2657");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 96 )
gap> P235 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2657"]);
gap> Append(GROUPS,[P235]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(4)^2(12)^2/group.2658");
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, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 96 )
gap> P236 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2658"]);
gap> Append(GROUPS,[P236]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(4)^2(12)^2/group.2659");
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, 0, -1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ],
[ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
], size := 96 )
gap> P237 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2659"]);
gap> Append(GROUPS,[P237]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(4)^2(12)^2/group.2660");
rec(
generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 96 )
gap> P238 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2660"]);
gap> Append(GROUPS,[P238]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(4)^2(12)^2/group.2661");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 96 )
gap> P239 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2661"]);
gap> Append(GROUPS,[P239]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(4)^2(12)^2/group.2662");
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, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
] ], size := 96 )
gap> P240 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2662"]);
gap> Append(GROUPS,[P240]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(4)^2(12)^2/group.2663");
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, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 96 )
gap> P241 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2663"]);
gap> Append(GROUPS,[P241]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(4)^2(12)^2/group.2664");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ]
] ], size := 96 )
gap> P242 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2664"]);
gap> Append(GROUPS,[P242]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(4)^2(12)^2/group.2665");
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, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ]
], size := 96 )
gap> P243 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2665"]);
gap> Append(GROUPS,[P243]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(4)^2(12)^2/group.2666");
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, 0, -1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ]
], size := 96 )
gap> P244 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2666"]);
gap> Append(GROUPS,[P244]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(4)^2(12)^2/group.2667");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ]
] ], size := 96 )
gap> P245 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2667"]);
gap> Append(GROUPS,[P245]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(4)^2(12)^2/group.2668");
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, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 96 )
gap> P246 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2668"]);
gap> Append(GROUPS,[P246]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(4)^2(12)^2/group.2669");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
] ], size := 96 )
gap> P247 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2669"]);
gap> Append(GROUPS,[P247]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(4)^2(12)^2/group.2670");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 96 )
gap> P248 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2670"]);
gap> Append(GROUPS,[P248]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(4)^2(12)^2/group.2671");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
] ], size := 96 )
gap> P249 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2671"]);
gap> Append(GROUPS,[P249]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(4)^2(12)^2/group.2672");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
] ], size := 96 )
gap> P250 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2672"]);
gap> Append(GROUPS,[P250]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(4)^2(12)^2/group.2673");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 96 )
gap> P251 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2673"]);
gap> Append(GROUPS,[P251]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(4)^2(12)^2/group.2674");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ 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, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
] ], size := 96 )
gap> P252 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2674"]);
gap> Append(GROUPS,[P252]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(4)^2(12)^2/group.2675");
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, 0, 1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
] ], size := 96 )
gap> P253 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2675"]);
gap> Append(GROUPS,[P253]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(4)^2(12)^2/group.2676");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 96 )
gap> P254 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2676"]);
gap> Append(GROUPS,[P254]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(4)^2(12)^2/group.2677");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 96 )
gap> P255 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2677"]);
gap> Append(GROUPS,[P255]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(4)^2(12)^2/group.2678");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 96 )
gap> P256 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2678"]);
gap> Append(GROUPS,[P256]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(4)^2(12)^2/group.2679");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
], size := 96 )
gap> P257 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2679"]);
gap> Append(GROUPS,[P257]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(4)^2(12)^2/group.2680");
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, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
] ], size := 96 )
gap> P258 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2680"]);
gap> Append(GROUPS,[P258]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(4)^2(12)^2/group.2681");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 96 )
gap> P259 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2681"]);
gap> Append(GROUPS,[P259]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(4)^2(12)^2/group.2682");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 96 )
gap> P260 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2682"]);
gap> Append(GROUPS,[P260]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(4)^2(12)^2/group.2683");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]
, size := 96 )
gap> P261 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2683"]);
gap> Append(GROUPS,[P261]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(4)^2(12)^2/group.2684");
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, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 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> P262 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2684"]);
gap> Append(GROUPS,[P262]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(4)^2(12)^2/group.2685");
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, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 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> P263 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2685"]);
gap> Append(GROUPS,[P263]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(2)^4(4)^2(12)^2/group.2686");
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, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ]
] ], size := 96 )
gap> P264 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2686"]);
gap> Append(GROUPS,[P264]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(4)^2(12)^2/group.2687");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ]
,
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 96 )
gap> P265 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(4)^2(12)^2/words.group.2687"]);
gap> Append(GROUPS,[P265]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(4)^6(12)^2/group.2688");
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, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 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> P266 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(4)^6(12)^2/words.group.2688"]);
gap> Append(GROUPS,[P266]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(4)^6(12)^2/group.2689");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 96 )
gap> P267 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(4)^6(12)^2/words.group.2689"]);
gap> Append(GROUPS,[P267]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(4)^6(12)^2/group.2690");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 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> P268 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(4)^6(12)^2/words.group.2690"]);
gap> Append(GROUPS,[P268]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(4)^6(12)^2/group.2691");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ] ]
,
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 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> P269 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(4)^6(12)^2/words.group.2691"]);
gap> Append(GROUPS,[P269]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(4)^6(12)^2/group.2692");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
] ], size := 96 )
gap> P270 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(4)^6(12)^2/words.group.2692"]);
gap> Append(GROUPS,[P270]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(4)^6(12)^2/group.2693");
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, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 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> P271 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(4)^6(12)^2/words.group.2693"]);
gap> Append(GROUPS,[P271]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(4)^6(12)^2/group.2694");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 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> P272 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(4)^6(12)^2/words.group.2694"]);
gap> Append(GROUPS,[P272]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(4)^6(12)^2/group.2695");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 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> P273 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(4)^6(12)^2/words.group.2695"]);
gap> Append(GROUPS,[P273]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(4)^6(12)^2/group.2696");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ]
], size := 96 )
gap> P274 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(4)^6(12)^2/words.group.2696"]);
gap> Append(GROUPS,[P274]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(4)^6(12)^2/group.2697");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1,
0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ -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, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ]
] ], size := 96 )
gap> P275 := Group(R.generators);
<matrix group with 3 generators>
gap> Append(names,["ordnung.96/(1)^4(4)^6(12)^2/words.group.2697"]);
gap> Append(GROUPS,[P275]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(4)^6(12)^2/group.2698");
rec(
generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ], size := 96 )
gap> P276 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(4)^6(12)^2/words.group.2698"]);
gap> Append(GROUPS,[P276]);
gap> R := CaratReadBravaisFile("ordnung.96/(1)^4(4)^6(12)^2/group.2699");
rec(
generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0,
0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 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> P277 := Group(R.generators);
<matrix group with 4 generators>
gap> Append(names,["ordnung.96/(1)^4(4)^6(12)^2/words.group.2699"]);
gap> Append(GROUPS,[P277]);
gap> Print(GROUPS,"\n");
[ Group(
[ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [
0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ]
],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
]),
Group([ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ]
]),
Group([ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ]
] ]),
Group([ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
]),
Group([ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
]),
Group([ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ]
, [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
]),
Group([ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ]
, [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
]),
Group([ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ] ]
, [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
]),
Group([ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
]),
Group([ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ]
,
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
]),
Group([ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ]
]),
Group([ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
]),
Group([ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ]
, [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ],
[ 0, 0, 0, 0, -1, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, -1, 0 ]
],
[ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ]
]),
Group([ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
]),
Group([ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, 0 ] ],
[ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ]
]),
Group([ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ],
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"ordnung.48/(1)^4(4)^6(12)^2/words.group.2577",
"ordnung.48/(1)^4(4)^6(12)^2/words.group.2578",
"ordnung.48/(1)^4(4)^6(12)^2/words.min.399",
"ordnung.48/(1)^4(4)^6(12)^2/words.min.400",
"ordnung.48/(1)^4(4)^6(12)^2/words.min.401",
"ordnung.48/(1)^4(4)^6(12)^2/words.min.402",
"ordnung.768/(1)^4(2)^6(12)^2/words.group.2579",
"ordnung.96/(1)^2(2)^2(4)^1(12)^1/words.group.2580",
"ordnung.96/(1)^2(2)^4(4)^1(12)^1/words.group.2581",
"ordnung.96/(1)^2(2)^4(4)^1(12)^1/words.group.2582",
"ordnung.96/(1)^2(2)^4(4)^1(12)^1/words.group.2583",
"ordnung.96/(1)^2(2)^4(4)^1(12)^1/words.group.2584",
"ordnung.96/(1)^2(2)^4(4)^1(12)^1/words.group.2585",
"ordnung.96/(1)^2(2)^4(4)^1(12)^1/words.group.2586",
"ordnung.96/(1)^2(2)^4(4)^3(12)^1/words.group.2587",
"ordnung.96/(1)^2(2)^4(4)^3(12)^1/words.group.2588",
"ordnung.96/(1)^2(2)^4(4)^3(12)^1/words.group.2589",
"ordnung.96/(1)^2(2)^4(4)^3(12)^1/words.group.2590",
"ordnung.96/(1)^2(2)^4(4)^3(12)^1/words.group.2591",
"ordnung.96/(1)^2(2)^4(4)^3(12)^1/words.group.2592",
"ordnung.96/(1)^2(2)^4(4)^3(12)^1/words.group.2593",
"ordnung.96/(1)^2(2)^4(4)^3(12)^1/words.group.2594",
"ordnung.96/(1)^2(2)^4(4)^3(12)^1/words.group.2595",
"ordnung.96/(1)^2(2)^4(4)^3(12)^1/words.group.2596",
"ordnung.96/(1)^2(2)^4(4)^3(12)^1/words.group.2597",
"ordnung.96/(1)^2(2)^4(4)^3(12)^1/words.group.2598",
"ordnung.96/(1)^2(2)^4(4)^3(12)^1/words.group.2599",
"ordnung.96/(1)^2(2)^4(4)^3(12)^1/words.group.2600",
"ordnung.96/(1)^2(2)^4(4)^3(12)^1/words.group.2601",
"ordnung.96/(1)^2(2)^4(4)^3(12)^1/words.group.2602",
"ordnung.96/(1)^2(2)^4(8)^1(24)^1/words.group.2603",
"ordnung.96/(1)^2(2)^4(8)^1(24)^1/words.group.2604",
"ordnung.96/(1)^2(4)^7(12)^1/words.group.2605",
"ordnung.96/(1)^2(4)^7(12)^1/words.group.2606",
"ordnung.96/(1)^4(2)^2(12)^2/words.group.2607",
"ordnung.96/(1)^4(2)^2(12)^2/words.group.2608",
"ordnung.96/(1)^4(2)^2(12)^2/words.group.2609",
"ordnung.96/(1)^4(2)^2(12)^2/words.group.2610",
"ordnung.96/(1)^4(2)^2(12)^2/words.group.2611",
"ordnung.96/(1)^4(2)^4(12)^2/words.group.2612",
"ordnung.96/(1)^4(2)^4(12)^2/words.group.2613",
"ordnung.96/(1)^4(2)^4(12)^2/words.group.2614",
"ordnung.96/(1)^4(2)^4(12)^2/words.group.2615",
"ordnung.96/(1)^4(2)^4(12)^2/words.group.2616",
"ordnung.96/(1)^4(2)^4(12)^2/words.group.2617",
"ordnung.96/(1)^4(2)^4(12)^2/words.group.2618",
"ordnung.96/(1)^4(2)^4(12)^2/words.group.2619",
"ordnung.96/(1)^4(2)^4(12)^2/words.group.2620",
"ordnung.96/(1)^4(2)^4(12)^2/words.group.2621",
"ordnung.96/(1)^4(2)^4(12)^2/words.group.2622",
"ordnung.96/(1)^4(2)^4(12)^2/words.group.2623",
"ordnung.96/(1)^4(2)^4(12)^2/words.group.2624",
"ordnung.96/(1)^4(2)^4(12)^2/words.group.2625",
"ordnung.96/(1)^4(2)^4(12)^2/words.group.2626",
"ordnung.96/(1)^4(2)^4(12)^2/words.group.2627",
"ordnung.96/(1)^4(2)^4(12)^2/words.group.2628",
"ordnung.96/(1)^4(2)^4(12)^2/words.group.2629",
"ordnung.96/(1)^4(2)^4(24)^2/words.group.2630",
"ordnung.96/(1)^4(2)^4(24)^2/words.group.2631",
"ordnung.96/(1)^4(2)^4(24)^2/words.group.2632",
"ordnung.96/(1)^4(2)^4(24)^2/words.group.2633",
"ordnung.96/(1)^4(2)^4(24)^2/words.group.2634",
"ordnung.96/(1)^4(2)^4(24)^2/words.group.2635",
"ordnung.96/(1)^4(2)^4(24)^2/words.group.2636",
"ordnung.96/(1)^4(2)^4(24)^2/words.group.2637",
"ordnung.96/(1)^4(2)^4(24)^2/words.group.2638",
"ordnung.96/(1)^4(2)^4(24)^2/words.group.2639",
"ordnung.96/(1)^4(2)^4(24)^2/words.group.2640",
"ordnung.96/(1)^4(2)^4(24)^2/words.group.2641",
"ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2642",
"ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2643",
"ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2644",
"ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2645",
"ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2646",
"ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2647",
"ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2648",
"ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2649",
"ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2650",
"ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2651",
"ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2652",
"ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2653",
"ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2654",
"ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2655",
"ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2656",
"ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2657",
"ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2658",
"ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2659",
"ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2660",
"ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2661",
"ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2662",
"ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2663",
"ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2664",
"ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2665",
"ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2666",
"ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2667",
"ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2668",
"ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2669",
"ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2670",
"ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2671",
"ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2672",
"ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2673",
"ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2674",
"ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2675",
"ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2676",
"ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2677",
"ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2678",
"ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2679",
"ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2680",
"ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2681",
"ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2682",
"ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2683",
"ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2684",
"ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2685",
"ordnung.96/(1)^4(2)^4(4)^2(12)^2/words.group.2686",
"ordnung.96/(1)^4(4)^2(12)^2/words.group.2687",
"ordnung.96/(1)^4(4)^6(12)^2/words.group.2688",
"ordnung.96/(1)^4(4)^6(12)^2/words.group.2689",
"ordnung.96/(1)^4(4)^6(12)^2/words.group.2690",
"ordnung.96/(1)^4(4)^6(12)^2/words.group.2691",
"ordnung.96/(1)^4(4)^6(12)^2/words.group.2692",
"ordnung.96/(1)^4(4)^6(12)^2/words.group.2693",
"ordnung.96/(1)^4(4)^6(12)^2/words.group.2694",
"ordnung.96/(1)^4(4)^6(12)^2/words.group.2695",
"ordnung.96/(1)^4(4)^6(12)^2/words.group.2696",
"ordnung.96/(1)^4(4)^6(12)^2/words.group.2697",
"ordnung.96/(1)^4(4)^6(12)^2/words.group.2698",
"ordnung.96/(1)^4(4)^6(12)^2/words.group.2699" ]
gap> Size(GROUPS);
277
gap> Size(names);
277
gap> Read("../../TGROUPS.GAP");
gap> for i in [1..Size(GROUPS)] do
> SubgroupWords(GROUPS[i], names[i]);
> od;
[ x4^3, x1, x1^3*x4*x2*x4^5, x4^4, x1^2, x1^2*x2*x4*x2*x4^5 ]
[ x4^3, x1, x3, x4^4, x1^2, x1^2*x2*x4*x2*x4^5 ]
[ x4^3, x1, x1^3*x3*x4*x2*x4^5, x4^4, x1^2, x1^2*x2*x4*x2*x4^5 ]
[ x4^3, x1^3*x4*x2*x4^5, x3, x4^4, x1^2, x1^2*x2*x4*x2*x4^5 ]
[ x4^3, x1*x3, x1^3*x4*x2*x4^5, x4^4, x1^2, x1^2*x2*x4*x2*x4^5 ]
[ x4^3, x4*x2*x4^5, x3, x4^4, x1^2, x1^2*x2*x4*x2*x4^5 ]
[ x4^3, x1*x3, x1^3*x3*x4*x2*x4^5, x4^4, x1^2, x1^2*x2*x4*x2*x4^5 ]
[ x1, x1^3*x4*x2*x4^5, x3, x4^4, x1^2, x1^2*x2*x4*x2*x4^5 ]
[ x3*x4^3, x1, x1^3*x4*x2*x4^5, x4^4, x1^2, x1^2*x2*x4*x2*x4^5 ]
[ x1^3*x2*x4^3, x1, x3, x4^4, x1^2, x1^2*x2*x4*x2*x4^5 ]
[ x3*x4^3, x1, x1^3*x3*x4*x2*x4^5, x4^4, x1^2, x1^2*x2*x4*x2*x4^5 ]
[ x1*x4^3, x1^3*x4*x2*x4^5, x3, x4^4, x1^2, x1^2*x2*x4*x2*x4^5 ]
[ x3*x4^3, x1*x3, x1^3*x4*x2*x4^5, x4^4, x1^2, x1^2*x2*x4*x2*x4^5 ]
[ x1^3*x2*x4^3, x4*x2*x4^5, x3, x4^4, x1^2, x1^2*x2*x4*x2*x4^5 ]
[ x3*x4^3, x1*x3, x1^3*x3*x4*x2*x4^5, x4^4, x1^2, x1^2*x2*x4*x2*x4^5 ]
[ x4^3, x1, x1^3*x4*x2*x4^5, x3, x1^2, x1^2*x2*x4*x2*x4^5 ]
[ x1*x4*x1*x4^2, x2, x3*x1*x3, x1*x4*x1*x4, x4^6, x1*x3*x1*x3 ]
[ x1*x4*x1*x4^2, x2, x1*x3*x1, x1*x4*x1*x4, x4^6, x1*x3*x1*x3 ]
[ x1*x4*x1*x4^2, x2, x1*x3, x1*x4*x1*x4, x4^6, x1*x3*x1*x3 ]
[ x1*x4*x1*x4^2, x3*x1*x3, x1*x3*x1, x1*x4*x1*x4, x4^6, x1*x3*x1*x3 ]
[ x1*x4*x1*x4^2, x1*x2*x3*x1, x3*x1*x3, x1*x4*x1*x4, x4^6, x1*x3*x1*x3 ]
[ x1*x4*x1*x4^2, x2*x3*x1*x3, x1*x3*x1, x1*x4*x1*x4, x4^6, x1*x3*x1*x3 ]
[ x1*x4*x1*x4^2, x1*x2*x3*x1, x1*x3, x1*x4*x1*x4, x4^6, x1*x3*x1*x3 ]
[ x2, x3*x1*x3, x1*x3*x1, x1*x4*x1*x4, x4^6, x1*x3*x1*x3 ]
[ x1*x3*x1*x4^3, x2, x3*x1*x3, x1*x4*x1*x4, x4^6, x1*x3*x1*x3 ]
[ x3*x1*x3*x4^3, x2, x1*x3*x1, x1*x4*x1*x4, x4^6, x1*x3*x1*x3 ]
[ x1*x3*x1*x4^3, x2, x1*x3, x1*x4*x1*x4, x4^6, x1*x3*x1*x3 ]
[ x1*x2*x4*x1*x4^2, x3*x1*x3, x1*x3*x1, x1*x4*x1*x4, x4^6, x1*x3*x1*x3 ]
[ x1*x3*x1*x4^3, x1*x2*x3*x1, x3*x1*x3, x1*x4*x1*x4, x4^6, x1*x3*x1*x3 ]
[ x3*x1*x3*x4^3, x2*x3*x1*x3, x1*x3*x1, x1*x4*x1*x4, x4^6, x1*x3*x1*x3 ]
[ x1*x3*x1*x4^3, x1*x2*x3*x1, x1*x3, x1*x4*x1*x4, x4^6, x1*x3*x1*x3 ]
[ x1*x4*x1*x4^2, x2, x3*x1*x3, x1*x3*x1, x4^6, x1*x3*x1*x3 ]
[ x4^3, x4*x1*x4^5, x4*x1*x2*x4^5, x4^4, x1*x2*x4*x1*x2*x4^5, x1*x4*x1*x4^5 ]
[ x4^3, x4*x1*x4^5, x3, x4^4, x1*x2*x4*x1*x2*x4^5, x1*x4*x1*x4^5 ]
[ x4^3, x4*x1*x4^5, x3*x4*x1*x2*x4^5, x4^4, x1*x2*x4*x1*x2*x4^5,
x1*x4*x1*x4^5 ]
[ x4^3, x4*x1*x2*x4^5, x3, x4^4, x1*x2*x4*x1*x2*x4^5, x1*x4*x1*x4^5 ]
[ x4^3, x3*x4*x1*x4^5, x4*x1*x2*x4^5, x4^4, x1*x2*x4*x1*x2*x4^5,
x1*x4*x1*x4^5 ]
[ x4^3, x4*x2*x4^5, x3, x4^4, x1*x2*x4*x1*x2*x4^5, x1*x4*x1*x4^5 ]
[ x4^3, x3*x4*x1*x4^5, x3*x4*x1*x2*x4^5, x4^4, x1*x2*x4*x1*x2*x4^5,
x1*x4*x1*x4^5 ]
[ x4*x1*x4^5, x4*x1*x2*x4^5, x3, x4^4, x1*x2*x4*x1*x2*x4^5, x1*x4*x1*x4^5 ]
[ x3*x4^3, x4*x1*x4^5, x4*x1*x2*x4^5, x4^4, x1*x2*x4*x1*x2*x4^5,
x1*x4*x1*x4^5 ]
[ x1*x2*x4^3, x4*x1*x4^5, x3, x4^4, x1*x2*x4*x1*x2*x4^5, x1*x4*x1*x4^5 ]
[ x3*x4^3, x4*x1*x4^5, x3*x4*x1*x2*x4^5, x4^4, x1*x2*x4*x1*x2*x4^5,
x1*x4*x1*x4^5 ]
[ x1*x4^3, x4*x1*x2*x4^5, x3, x4^4, x1*x2*x4*x1*x2*x4^5, x1*x4*x1*x4^5 ]
[ x3*x4^3, x3*x4*x1*x4^5, x4*x1*x2*x4^5, x4^4, x1*x2*x4*x1*x2*x4^5,
x1*x4*x1*x4^5 ]
[ x1*x2*x4^3, x4*x2*x4^5, x3, x4^4, x1*x2*x4*x1*x2*x4^5, x1*x4*x1*x4^5 ]
[ x3*x4^3, x3*x4*x1*x4^5, x3*x4*x1*x2*x4^5, x4^4, x1*x2*x4*x1*x2*x4^5,
x1*x4*x1*x4^5 ]
[ x4^3, x4*x1*x4^5, x4*x1*x2*x4^5, x3, x1*x2*x4*x1*x2*x4^5, x1*x4*x1*x4^5 ]
[ x4^3, x1, x2*x1, x4^4, x1^2, x1^3*x2*x1*x2 ]
[ x4^3, x1, x3, x4^4, x1^2, x1^3*x2*x1*x2 ]
[ x4^3, x1, x2*x1*x3, x4^4, x1^2, x1^3*x2*x1*x2 ]
[ x4^3, x2*x1, x3, x4^4, x1^2, x1^3*x2*x1*x2 ]
[ x4^3, x1*x3, x2*x1, x4^4, x1^2, x1^3*x2*x1*x2 ]
[ x4^3, x1*x2*x1, x3, x4^4, x1^2, x1^3*x2*x1*x2 ]
[ x4^3, x1*x3, x2*x1*x3, x4^4, x1^2, x1^3*x2*x1*x2 ]
[ x1, x2*x1, x3, x4^4, x1^2, x1^3*x2*x1*x2 ]
[ x3*x4^3, x1, x2*x1, x4^4, x1^2, x1^3*x2*x1*x2 ]
[ x2*x1*x4^3, x1, x3, x4^4, x1^2, x1^3*x2*x1*x2 ]
[ x3*x4^3, x1, x2*x1*x3, x4^4, x1^2, x1^3*x2*x1*x2 ]
[ x1^3*x4^3, x2*x1, x3, x4^4, x1^2, x1^3*x2*x1*x2 ]
[ x3*x4^3, x1*x3, x2*x1, x4^4, x1^2, x1^3*x2*x1*x2 ]
[ x2*x1*x4^3, x1*x2*x1, x3, x4^4, x1^2, x1^3*x2*x1*x2 ]
[ x3*x4^3, x1*x3, x2*x1*x3, x4^4, x1^2, x1^3*x2*x1*x2 ]
[ x4^3, x1, x2*x1, x3, x1^2, x1^3*x2*x1*x2 ]
[ x4^3, x1*x2*x3*x1*x2, x3*x1*x3, x4^4, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x4^3, x1*x2*x3*x1*x2, x3*x1*x2*x3, x4^4, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x4^3, x1*x2*x3*x1*x2, x3*x2*x3, x4^4, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x4^3, x3*x1*x3, x3*x1*x2*x3, x4^4, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x4^3, x3*x1*x2, x3*x1*x3, x4^4, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x4^3, x2*x3*x1*x2, x3*x1*x2*x3, x4^4, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x4^3, x3*x1*x2, x3*x2*x3, x4^4, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x1*x2*x3*x1*x2, x3*x1*x3, x3*x1*x2*x3, x4^4, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3
]
[ x3*x1*x2*x3*x4^3, x1*x2*x3*x1*x2, x3*x1*x3, x4^4, x1*x2*x3*x1*x2*x3,
x1*x3*x1*x3 ]
[ x1*x4^3, x1*x2*x3*x1*x2, x3*x1*x2*x3, x4^4, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x3*x1*x2*x3*x4^3, x1*x2*x3*x1*x2, x3*x2*x3, x4^4, x1*x2*x3*x1*x2*x3,
x1*x3*x1*x3 ]
[ x1*x2*x3*x1*x2*x4^3, x3*x1*x3, x3*x1*x2*x3, x4^4, x1*x2*x3*x1*x2*x3,
x1*x3*x1*x3 ]
[ x3*x1*x2*x3*x4^3, x3*x1*x2, x3*x1*x3, x4^4, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x1*x4^3, x2*x3*x1*x2, x3*x1*x2*x3, x4^4, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x3*x1*x2*x3*x4^3, x3*x1*x2, x3*x2*x3, x4^4, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x4^3, x1*x2*x3*x1*x2, x3*x1*x3, x3*x1*x2*x3, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3
]
[ x4^3, x1*x2*x3*x1*x2, x1, x4^4, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x4^3, x1*x2*x3*x1*x2, x2, x4^4, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x4^3, x1*x2*x3*x1*x2, x1*x2, x4^4, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x4^3, x1, x2, x4^4, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x4^3, x1*x2*x3*x1, x1, x4^4, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x4^3, x1*x2*x3*x2, x2, x4^4, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x4^3, x1*x2*x3*x1, x1*x2, x4^4, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x1*x2*x3*x1*x2, x1, x2, x4^4, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x1*x2*x3*x1*x3*x4^3, x1*x2*x3*x1*x2, x1, x4^4, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x3*x1*x3*x4^3, x1*x2*x3*x1*x2, x2, x4^4, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x1*x2*x3*x1*x3*x4^3, x1*x2*x3*x1*x2, x1*x2, x4^4, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x1*x2*x3*x1*x2*x4^3, x1, x2, x4^4, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x1*x2*x3*x1*x3*x4^3, x1*x2*x3*x1, x1, x4^4, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x3*x1*x3*x4^3, x1*x2*x3*x2, x2, x4^4, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x1*x2*x3*x1*x3*x4^3, x1*x2*x3*x1, x1*x2, x4^4, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x4^3, x1*x2*x3*x1*x2, x1, x2, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x4^3, x1*x2*x3*x1*x2, x1, x4^2, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x4^3, x1*x2*x3*x1*x2, x2, x4^2, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x4^3, x1*x2*x3*x1*x2, x1*x2, x4^2, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x4^3, x1, x2, x4^2, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x4^3, x1*x2*x3*x1, x1, x4^2, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x4^3, x1*x2*x3*x2, x2, x4^2, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x4^3, x1*x2*x3*x1, x1*x2, x4^2, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x1*x2*x3*x1*x2, x1, x2, x4^2, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x1*x2*x3*x1*x3*x4^3, x1*x2*x3*x1*x2, x1, x4^2, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x3*x1*x3*x4^3, x1*x2*x3*x1*x2, x2, x4^2, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x1*x2*x3*x1*x3*x4^3, x1*x2*x3*x1*x2, x1*x2, x4^2, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x1*x2*x3*x1*x2*x4^3, x1, x2, x4^2, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x1*x2*x3*x1*x3*x4^3, x1*x2*x3*x1, x1, x4^2, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x3*x1*x3*x4^3, x1*x2*x3*x2, x2, x4^2, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x1*x2*x3*x1*x3*x4^3, x1*x2*x3*x1, x1*x2, x4^2, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x4^3, x1*x2*x3*x1*x2, x1, x2, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x4^3, x2^2*x3, x3*x1*x3, x4^4, x2^2, x1*x3*x1*x3 ]
[ x4^3, x2^2*x3, x1*x2, x4^4, x2^2, x1*x3*x1*x3 ]
[ x4^3, x2^2*x3, x1*x2*x3*x1*x3, x4^4, x2^2, x1*x3*x1*x3 ]
[ x4^3, x3*x1*x3, x1*x2, x4^4, x2^2, x1*x3*x1*x3 ]
[ x4^3, x1*x2*x3, x3*x1*x3, x4^4, x2^2, x1*x3*x1*x3 ]
[ x4^3, x1*x2^2*x3, x1*x2, x4^4, x2^2, x1*x3*x1*x3 ]
[ x4^3, x1*x2*x3, x1*x2*x3*x1*x3, x4^4, x2^2, x1*x3*x1*x3 ]
[ x2^2*x3, x3*x1*x3, x1*x2, x4^4, x2^2, x1*x3*x1*x3 ]
[ x1*x2*x4^3, x2^2*x3, x3*x1*x3, x4^4, x2^2, x1*x3*x1*x3 ]
[ x1*x4^3, x2^2*x3, x1*x2, x4^4, x2^2, x1*x3*x1*x3 ]
[ x1*x2*x4^3, x2^2*x3, x1*x2*x3*x1*x3, x4^4, x2^2, x1*x3*x1*x3 ]
[ x2^2*x3*x4^3, x3*x1*x3, x1*x2, x4^4, x2^2, x1*x3*x1*x3 ]
[ x1*x2*x4^3, x1*x2*x3, x3*x1*x3, x4^4, x2^2, x1*x3*x1*x3 ]
[ x1*x4^3, x1*x2^2*x3, x1*x2, x4^4, x2^2, x1*x3*x1*x3 ]
[ x1*x2*x4^3, x1*x2*x3, x1*x2*x3*x1*x3, x4^4, x2^2, x1*x3*x1*x3 ]
[ x4^3, x2^2*x3, x3*x1*x3, x1*x2, x2^2, x1*x3*x1*x3 ]
[ x4^3, x1*x2*x3*x1*x2, x3*x1*x3, x4^4, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x4^3, x1*x2*x3*x1*x2, x3*x1*x2*x3, x4^4, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x4^3, x1*x2*x3*x1*x2, x3*x2*x3, x4^4, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x4^3, x3*x1*x3, x3*x1*x2*x3, x4^4, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x4^3, x3*x1*x2, x3*x1*x3, x4^4, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x4^3, x2*x3*x1*x2, x3*x1*x2*x3, x4^4, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x4^3, x3*x1*x2, x3*x2*x3, x4^4, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x1*x2*x3*x1*x2, x3*x1*x3, x3*x1*x2*x3, x4^4, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3
]
[ x1*x2*x4^3, x1*x2*x3*x1*x2, x3*x1*x3, x4^4, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x3*x1*x3*x4^3, x1*x2*x3*x1*x2, x3*x1*x2*x3, x4^4, x1*x2*x3*x1*x2*x3,
x1*x3*x1*x3 ]
[ x1*x2*x4^3, x1*x2*x3*x1*x2, x3*x2*x3, x4^4, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x1*x2*x3*x1*x2*x4^3, x3*x1*x3, x3*x1*x2*x3, x4^4, x1*x2*x3*x1*x2*x3,
x1*x3*x1*x3 ]
[ x1*x2*x4^3, x3*x1*x2, x3*x1*x3, x4^4, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x3*x1*x3*x4^3, x2*x3*x1*x2, x3*x1*x2*x3, x4^4, x1*x2*x3*x1*x2*x3,
x1*x3*x1*x3 ]
[ x1*x2*x4^3, x3*x1*x2, x3*x2*x3, x4^4, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x4^3, x1*x2*x3*x1*x2, x3*x1*x3, x3*x1*x2*x3, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3
]
[ x4^3, x1*x2*x1*x2*x3, x1, x4^4, x1^2, x1^3*x2*x1*x2 ]
[ x4^3, x1*x2*x1*x2*x3, x2, x4^4, x1^2, x1^3*x2*x1*x2 ]
[ x4^3, x1*x2*x1*x2*x3, x1*x2, x4^4, x1^2, x1^3*x2*x1*x2 ]
[ x4^3, x1, x2, x4^4, x1^2, x1^3*x2*x1*x2 ]
[ x4^3, x1^2*x2*x3, x1, x4^4, x1^2, x1^3*x2*x1*x2 ]
[ x4^3, x2*x1*x2*x3, x2, x4^4, x1^2, x1^3*x2*x1*x2 ]
[ x4^3, x1^2*x2*x3, x1*x2, x4^4, x1^2, x1^3*x2*x1*x2 ]
[ x1*x2*x1*x2*x3, x1, x2, x4^4, x1^2, x1^3*x2*x1*x2 ]
[ x1*x2*x1*x4^3, x1*x2*x1*x2*x3, x1, x4^4, x1^2, x1^3*x2*x1*x2 ]
[ x1*x4^3, x1*x2*x1*x2*x3, x2, x4^4, x1^2, x1^3*x2*x1*x2 ]
[ x1*x2*x1*x4^3, x1*x2*x1*x2*x3, x1*x2, x4^4, x1^2, x1^3*x2*x1*x2 ]
[ x1*x2*x1*x2*x3*x4^3, x1, x2, x4^4, x1^2, x1^3*x2*x1*x2 ]
[ x1*x2*x1*x4^3, x1^2*x2*x3, x1, x4^4, x1^2, x1^3*x2*x1*x2 ]
[ x1*x4^3, x2*x1*x2*x3, x2, x4^4, x1^2, x1^3*x2*x1*x2 ]
[ x1*x2*x1*x4^3, x1^2*x2*x3, x1*x2, x4^4, x1^2, x1^3*x2*x1*x2 ]
[ x4^3, x1*x2*x1*x2*x3, x1, x2, x1^2, x1^3*x2*x1*x2 ]
[ x1*x4*x1*x4^4, x1*x3, x2, x1*x4*x1*x4, x2^2, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4^4, x1*x3, x1, x1*x4*x1*x4, x2^2, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4^4, x1*x3, x1*x2, x1*x4*x1*x4, x2^2, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4^4, x2, x1, x1*x4*x1*x4, x2^2, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4^4, x3, x2, x1*x4*x1*x4, x2^2, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4^4, x1*x2*x3, x1, x1*x4*x1*x4, x2^2, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4^4, x3, x1*x2, x1*x4*x1*x4, x2^2, x1*x4*x1*x4^3 ]
[ x1*x3, x2, x1, x1*x4*x1*x4, x2^2, x1*x4*x1*x4^3 ]
[ x4*x1*x4^4, x1*x3, x2, x1*x4*x1*x4, x2^2, x1*x4*x1*x4^3 ]
[ x1*x2*x4*x1*x4^4, x1*x3, x1, x1*x4*x1*x4, x2^2, x1*x4*x1*x4^3 ]
[ x4*x1*x4^4, x1*x3, x1*x2, x1*x4*x1*x4, x2^2, x1*x4*x1*x4^3 ]
[ x3*x4*x1*x4^4, x2, x1, x1*x4*x1*x4, x2^2, x1*x4*x1*x4^3 ]
[ x4*x1*x4^4, x3, x2, x1*x4*x1*x4, x2^2, x1*x4*x1*x4^3 ]
[ x1*x2*x4*x1*x4^4, x1*x2*x3, x1, x1*x4*x1*x4, x2^2, x1*x4*x1*x4^3 ]
[ x4*x1*x4^4, x3, x1*x2, x1*x4*x1*x4, x2^2, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4^4, x1*x3, x2, x1, x1*x4*x1*x4, x2^2 ]
[ x4^3, x1^3*x2, x1, x1^2, x1^2*x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4^3, x1^3*x2, x3, x1^2, x1^2*x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4^3, x1^3*x2, x1*x3, x1^2, x1^2*x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4^3, x1, x3, x1^2, x1^2*x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4^3, x1^3*x2*x3, x1, x1^2, x1^2*x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4^3, x2, x3, x1^2, x1^2*x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4^3, x1^3*x2*x3, x1*x3, x1^2, x1^2*x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1^3*x2, x1, x3, x1^2, x1^2*x2*x3*x4*x2*x3*x4, x4^2 ]
[ x3*x4^3, x1^3*x2, x1, x1^2, x1^2*x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1*x4^3, x1^3*x2, x3, x1^2, x1^2*x2*x3*x4*x2*x3*x4, x4^2 ]
[ x3*x4^3, x1^3*x2, x1*x3, x1^2, x1^2*x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1^3*x4*x2*x4^2, x1, x3, x1^2, x1^2*x2*x3*x4*x2*x3*x4, x4^2 ]
[ x3*x4^3, x1^3*x2*x3, x1, x1^2, x1^2*x2*x3*x4*x2*x3*x4, x4^2 ]
[ x1*x4^3, x2, x3, x1^2, x1^2*x2*x3*x4*x2*x3*x4, x4^2 ]
[ x3*x4^3, x1^3*x2*x3, x1*x3, x1^2, x1^2*x2*x3*x4*x2*x3*x4, x4^2 ]
[ x4^3, x1^3*x2, x1, x3, x1^2, x1^2*x2*x3*x4*x2*x3*x4 ]
[ x4^3, x1*x2*x4^2*x3, x1, x2^2, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x1*x2*x4^2*x3, x1*x4^2*x3, x2^2, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x1*x2*x4^2*x3, x4^2*x3, x2^2, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x1, x1*x4^2*x3, x2^2, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x2, x1, x2^2, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x2*x4^2*x3, x1*x4^2*x3, x2^2, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x2, x4^2*x3, x2^2, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x2*x4^2*x3, x1, x1*x4^2*x3, x2^2, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x3*x4*x1, x1*x2*x4^2*x3, x1, x2^2, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4*x1*x4^2, x1*x2*x4^2*x3, x1*x4^2*x3, x2^2, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x3*x4*x1, x1*x2*x4^2*x3, x4^2*x3, x2^2, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x2*x3*x4, x1, x1*x4^2*x3, x2^2, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x3*x4*x1, x2, x1, x2^2, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4*x1*x4^2, x2*x4^2*x3, x1*x4^2*x3, x2^2, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x3*x4*x1, x2, x4^2*x3, x2^2, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x1*x2*x4^2*x3, x1, x1*x4^2*x3, x2^2, x1*x3*x4*x1*x3*x4 ]
[ x1*x2*x1*x4^3, x1*x3, x1*x2*x1, x2^2, x1*x2*x1*x2^3, x4^2 ]
[ x1*x2*x1*x4^3, x1*x3, x1, x2^2, x1*x2*x1*x2^3, x4^2 ]
[ x1*x2*x1*x4^3, x1*x3, x1*x2, x2^2, x1*x2*x1*x2^3, x4^2 ]
[ x1*x2*x1*x4^3, x1*x2*x1, x1, x2^2, x1*x2*x1*x2^3, x4^2 ]
[ x1*x2*x1*x4^3, x3, x1*x2*x1, x2^2, x1*x2*x1*x2^3, x4^2 ]
[ x1*x2*x1*x4^3, x2*x1*x3, x1, x2^2, x1*x2*x1*x2^3, x4^2 ]
[ x1*x2*x1*x4^3, x3, x1*x2, x2^2, x1*x2*x1*x2^3, x4^2 ]
[ x1*x3, x1*x2*x1, x1, x2^2, x1*x2*x1*x2^3, x4^2 ]
[ x2*x1*x4^3, x1*x3, x1*x2*x1, x2^2, x1*x2*x1*x2^3, x4^2 ]
[ x2^2*x4^3, x1*x3, x1, x2^2, x1*x2*x1*x2^3, x4^2 ]
[ x2*x1*x4^3, x1*x3, x1*x2, x2^2, x1*x2*x1*x2^3, x4^2 ]
[ x2*x1*x3*x4^3, x1*x2*x1, x1, x2^2, x1*x2*x1*x2^3, x4^2 ]
[ x2*x1*x4^3, x3, x1*x2*x1, x2^2, x1*x2*x1*x2^3, x4^2 ]
[ x2^2*x4^3, x2*x1*x3, x1, x2^2, x1*x2*x1*x2^3, x4^2 ]
[ x2*x1*x4^3, x3, x1*x2, x2^2, x1*x2*x1*x2^3, x4^2 ]
[ x1*x2*x1*x4^3, x1*x3, x1*x2*x1, x1, x2^2, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x4^3, x1*x3, x2, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2^3*x4^2 ]
[ x1*x2*x1*x4^3, x1*x3, x1, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2^3*x4^2 ]
[ x1*x2*x1*x4^3, x1*x3, x2*x1, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2^3*x4^2 ]
[ x1*x2*x1*x4^3, x2, x1, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2^3*x4^2 ]
[ x1*x2*x1*x4^3, x3, x2, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2^3*x4^2 ]
[ x1*x2*x1*x4^3, x1*x2*x3, x1, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2^3*x4^2 ]
[ x1*x2*x1*x4^3, x3, x2*x1, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2^3*x4^2 ]
[ x1*x3, x2, x1, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2^3*x4^2 ]
[ x2*x1*x4^3, x1*x3, x2, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2^3*x4^2 ]
[ x2^2*x4^3, x1*x3, x1, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2^3*x4^2 ]
[ x2*x1*x4^3, x1*x3, x2*x1, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2^3*x4^2 ]
[ x2*x1*x3*x4^3, x2, x1, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2^3*x4^2 ]
[ x2*x1*x4^3, x3, x2, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2^3*x4^2 ]
[ x2^2*x4^3, x1*x2*x3, x1, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2^3*x4^2 ]
[ x2*x1*x4^3, x3, x2*x1, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2^3*x4^2 ]
[ x1*x2*x1*x4^3, x1*x3, x2, x1, x2^2, x1*x2*x1*x2^3 ]
[ x4^3, x1*x4^2, x1*x2*x4^2, x1^2, x1^3*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x1*x4^2, x3, x1^2, x1^3*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x1*x4^2, x1*x2*x3*x4^2, x1^2, x1^3*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x1*x2*x4^2, x3, x1^2, x1^3*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x1*x3*x4^2, x1*x2*x4^2, x1^2, x1^3*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x1^2*x2, x3, x1^2, x1^3*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x1*x3*x4^2, x1*x2*x3*x4^2, x1^2, x1^3*x3*x4*x1*x3*x4, x4^2 ]
[ x1*x4^2, x1*x2*x4^2, x3, x1^2, x1^3*x3*x4*x1*x3*x4, x4^2 ]
[ x4*x3*x4^2, x1*x4^2, x1*x2*x4^2, x1^2, x1^3*x3*x4*x1*x3*x4, x4^2 ]
[ x2*x4*x1, x1*x4^2, x3, x1^2, x1^3*x3*x4*x1*x3*x4, x4^2 ]
[ x4*x3*x4^2, x1*x4^2, x1*x2*x3*x4^2, x1^2, x1^3*x3*x4*x1*x3*x4, x4^2 ]
[ x4*x1, x1*x2*x4^2, x3, x1^2, x1^3*x3*x4*x1*x3*x4, x4^2 ]
[ x4*x3*x4^2, x1*x3*x4^2, x1*x2*x4^2, x1^2, x1^3*x3*x4*x1*x3*x4, x4^2 ]
[ x2*x4*x1, x1^2*x2, x3, x1^2, x1^3*x3*x4*x1*x3*x4, x4^2 ]
[ x4*x3*x4^2, x1*x3*x4^2, x1*x2*x3*x4^2, x1^2, x1^3*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x1*x4^2, x1*x2*x4^2, x3, x1^2, x1^3*x3*x4*x1*x3*x4 ]
[ x2*x3*x4, x1^3*x2, x1, x1^2, x1^2*x3*x4*x3*x4, x2*x4*x2*x4 ]
[ x2*x3*x4, x1^3*x2, x1*x4*x2*x4*x3, x1^2, x1^2*x3*x4*x3*x4, x2*x4*x2*x4 ]
[ x2*x3*x4, x1^3*x2, x1^2*x4*x2*x4*x3, x1^2, x1^2*x3*x4*x3*x4, x2*x4*x2*x4 ]
[ x2*x3*x4, x1, x1*x4*x2*x4*x3, x1^2, x1^2*x3*x4*x3*x4, x2*x4*x2*x4 ]
[ x2*x3*x4, x2*x4*x2*x4*x3, x1, x1^2, x1^2*x3*x4*x3*x4, x2*x4*x2*x4 ]
[ x2*x3*x4, x2, x1*x4*x2*x4*x3, x1^2, x1^2*x3*x4*x3*x4, x2*x4*x2*x4 ]
[ x2*x3*x4, x2*x4*x2*x4*x3, x1^2*x4*x2*x4*x3, x1^2, x1^2*x3*x4*x3*x4,
x2*x4*x2*x4 ]
[ x1^3*x2, x1, x1*x4*x2*x4*x3, x1^2, x1^2*x3*x4*x3*x4, x2*x4*x2*x4 ]
[ x1^3*x4^3, x1^3*x2, x1, x1^2, x1^2*x3*x4*x3*x4, x2*x4*x2*x4 ]
[ x1*x2*x3*x4, x1^3*x2, x1*x4*x2*x4*x3, x1^2, x1^2*x3*x4*x3*x4, x2*x4*x2*x4 ]
[ x1^3*x4^3, x1^3*x2, x1^2*x4*x2*x4*x3, x1^2, x1^2*x3*x4*x3*x4, x2*x4*x2*x4 ]
[ x1^3*x2*x3*x4*x2, x1, x1*x4*x2*x4*x3, x1^2, x1^2*x3*x4*x3*x4, x2*x4*x2*x4 ]
[ x1^3*x4^3, x2*x4*x2*x4*x3, x1, x1^2, x1^2*x3*x4*x3*x4, x2*x4*x2*x4 ]
[ x1*x2*x3*x4, x2, x1*x4*x2*x4*x3, x1^2, x1^2*x3*x4*x3*x4, x2*x4*x2*x4 ]
[ x1^3*x4^3, x2*x4*x2*x4*x3, x1^2*x4*x2*x4*x3, x1^2, x1^2*x3*x4*x3*x4,
x2*x4*x2*x4 ]
[ x2*x3*x4, x1^3*x2, x1, x1*x4*x2*x4*x3, x1^2, x1^2*x3*x4*x3*x4 ]
[ x1^3*x4*x1*x4*x1*x4, x1^3*x4*x1*x4*x1, x1^2*x4*x1*x2*x4, x1^2,
x1*x2*x4*x1*x2*x4, x1^3*x4*x1*x4 ]
[ x1^3*x4*x1*x4*x1*x4, x1^3*x4*x1*x4*x1, x1^3*x3*x4*x1*x4*x1, x1^2,
x1*x2*x4*x1*x2*x4, x1^3*x4*x1*x4 ]
[ x1^3*x4*x1*x4*x1*x4, x1^3*x4*x1*x4*x1, x1^3*x3*x4*x2*x4*x1, x1^2,
x1*x2*x4*x1*x2*x4, x1^3*x4*x1*x4 ]
[ x1^3*x4*x1*x4*x1*x4, x1^2*x4*x1*x2*x4, x1^3*x3*x4*x1*x4*x1, x1^2,
x1*x2*x4*x1*x2*x4, x1^3*x4*x1*x4 ]
[ x1^3*x4*x1*x4*x1*x4, x1^2*x3, x1^2*x4*x1*x2*x4, x1^2, x1*x2*x4*x1*x2*x4,
x1^3*x4*x1*x4 ]
[ x1^3*x4*x1*x4*x1*x4, x1^3*x4*x2*x4*x1, x1^3*x3*x4*x1*x4*x1, x1^2,
x1*x2*x4*x1*x2*x4, x1^3*x4*x1*x4 ]
[ x1^3*x4*x1*x4*x1*x4, x1^2*x3, x1^3*x3*x4*x2*x4*x1, x1^2, x1*x2*x4*x1*x2*x4,
x1^3*x4*x1*x4 ]
[ x1^3*x4*x1*x4*x1, x1^2*x4*x1*x2*x4, x1^3*x3*x4*x1*x4*x1, x1^2,
x1*x2*x4*x1*x2*x4, x1^3*x4*x1*x4 ]
[ x1^2*x3*x4, x1^3*x4*x1*x4*x1, x1^2*x4*x1*x2*x4, x1^2, x1*x2*x4*x1*x2*x4,
x1^3*x4*x1*x4 ]
[ x1^2*x2*x4*x1*x4*x1*x4, x1^3*x4*x1*x4*x1, x1^3*x3*x4*x1*x4*x1, x1^2,
x1*x2*x4*x1*x2*x4, x1^3*x4*x1*x4 ]
[ x1^2*x3*x4, x1^3*x4*x1*x4*x1, x1^3*x3*x4*x2*x4*x1, x1^2, x1*x2*x4*x1*x2*x4,
x1^3*x4*x1*x4 ]
[ x1^2*x4, x1^2*x4*x1*x2*x4, x1^3*x3*x4*x1*x4*x1, x1^2, x1*x2*x4*x1*x2*x4,
x1^3*x4*x1*x4 ]
[ x1^2*x3*x4, x1^2*x3, x1^2*x4*x1*x2*x4, x1^2, x1*x2*x4*x1*x2*x4,
x1^3*x4*x1*x4 ]
[ x1^2*x2*x4*x1*x4*x1*x4, x1^3*x4*x2*x4*x1, x1^3*x3*x4*x1*x4*x1, x1^2,
x1*x2*x4*x1*x2*x4, x1^3*x4*x1*x4 ]
[ x1^2*x3*x4, x1^2*x3, x1^3*x3*x4*x2*x4*x1, x1^2, x1*x2*x4*x1*x2*x4,
x1^3*x4*x1*x4 ]
[ x1^3*x4*x1*x4*x1*x4, x1^3*x4*x1*x4*x1, x1^2*x4*x1*x2*x4,
x1^3*x3*x4*x1*x4*x1, x1^2, x1*x2*x4*x1*x2*x4 ]
[ x1*x2*x3*x4, x1, x2*x4^4, x1^2, x1^2*x4^6, x2*x4^4*x2 ]
[ x1*x2*x3*x4, x1, x2*x3*x4^4, x1^2, x1^2*x4^6, x2*x4^4*x2 ]
[ x1*x2*x3*x4, x1, x3, x1^2, x1^2*x4^6, x2*x4^4*x2 ]
[ x1*x2*x3*x4, x2*x4^4, x2*x3*x4^4, x1^2, x1^2*x4^6, x2*x4^4*x2 ]
[ x1*x2*x3*x4, x1*x2*x3*x4^4, x2*x4^4, x1^2, x1^2*x4^6, x2*x4^4*x2 ]
[ x1*x2*x3*x4, x1*x2*x4^4, x2*x3*x4^4, x1^2, x1^2*x4^6, x2*x4^4*x2 ]
[ x1*x2*x3*x4, x1*x2*x3*x4^4, x3, x1^2, x1^2*x4^6, x2*x4^4*x2 ]
[ x1, x2*x4^4, x2*x3*x4^4, x1^2, x1^2*x4^6, x2*x4^4*x2 ]
[ x1^3*x4^3, x1, x2*x4^4, x1^2, x1^2*x4^6, x2*x4^4*x2 ]
[ x1^3*x3*x4^3, x1, x2*x3*x4^4, x1^2, x1^2*x4^6, x2*x4^4*x2 ]
[ x1^3*x4^3, x1, x3, x1^2, x1^2*x4^6, x2*x4^4*x2 ]
[ x1^2*x2*x3*x4, x2*x4^4, x2*x3*x4^4, x1^2, x1^2*x4^6, x2*x4^4*x2 ]
[ x1^3*x4^3, x1*x2*x3*x4^4, x2*x4^4, x1^2, x1^2*x4^6, x2*x4^4*x2 ]
[ x1^3*x3*x4^3, x1*x2*x4^4, x2*x3*x4^4, x1^2, x1^2*x4^6, x2*x4^4*x2 ]
[ x1^3*x4^3, x1*x2*x3*x4^4, x3, x1^2, x1^2*x4^6, x2*x4^4*x2 ]
[ x1*x2*x3*x4, x1, x2*x4^4, x2*x3*x4^4, x1^2, x1^2*x4^6 ]
[ x3*x1*x3*x4^3, x2*x3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3, x1*x3*x1*x3*x4^2 ]
[ x3*x1*x3*x4^3, x2*x3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3, x1*x3*x1*x3*x4^2 ]
[ x3*x1*x3*x4^3, x2*x3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3, x1*x3*x1*x3*x4^2 ]
[ x3*x1*x3*x4^3, x1, x2, x1*x3*x1*x3, x1*x3*x1*x3^3, x1*x3*x1*x3*x4^2 ]
[ x3*x1*x3*x4^3, x3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3, x1*x3*x1*x3*x4^2 ]
[ x3*x1*x3*x4^3, x2*x3*x1, x2, x1*x3*x1*x3, x1*x3*x1*x3^3, x1*x3*x1*x3*x4^2 ]
[ x3*x1*x3*x4^3, x3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3, x1*x3*x1*x3*x4^2 ]
[ x2*x3, x1, x2, x1*x3*x1*x3, x1*x3*x1*x3^3, x1*x3*x1*x3*x4^2 ]
[ x2*x3*x1*x3*x4^3, x2*x3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3, x1*x3*x1*x3*x4^2 ]
[ x1*x3*x1*x3*x4^3, x2*x3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3, x1*x3*x1*x3*x4^2 ]
[ x2*x3*x1*x3*x4^3, x2*x3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3,
x1*x3*x1*x3*x4^2 ]
[ x1*x2*x3^3*x4^3, x1, x2, x1*x3*x1*x3, x1*x3*x1*x3^3, x1*x3*x1*x3*x4^2 ]
[ x2*x3*x1*x3*x4^3, x3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3, x1*x3*x1*x3*x4^2 ]
[ x1*x3*x1*x3*x4^3, x2*x3*x1, x2, x1*x3*x1*x3, x1*x3*x1*x3^3,
x1*x3*x1*x3*x4^2 ]
[ x2*x3*x1*x3*x4^3, x3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3, x1*x3*x1*x3*x4^2 ]
[ x3*x1*x3*x4^3, x2*x3, x1, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x4^3, x3*x1, x1, x1*x3*x1*x3, x1*x3*x1*x3^3, x1*x3*x1*x3*x4^2 ]
[ x1*x3*x1*x3*x4^3, x3*x1, x3*x1*x3*x4^2*x2, x1*x3*x1*x3, x1*x3*x1*x3^3,
x1*x3*x1*x3*x4^2 ]
[ x1*x3*x1*x3*x4^3, x3*x1, x1*x3*x1*x3*x4^2*x2, x1*x3*x1*x3, x1*x3*x1*x3^3,
x1*x3*x1*x3*x4^2 ]
[ x1*x3*x1*x3*x4^3, x1, x3*x1*x3*x4^2*x2, x1*x3*x1*x3, x1*x3*x1*x3^3,
x1*x3*x1*x3*x4^2 ]
[ x1*x3*x1*x3*x4^3, x1*x3*x1*x3^2*x4^2*x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3,
x1*x3*x1*x3*x4^2 ]
[ x1*x3*x1*x3*x4^3, x3, x3*x1*x3*x4^2*x2, x1*x3*x1*x3, x1*x3*x1*x3^3,
x1*x3*x1*x3*x4^2 ]
[ x1*x3*x1*x3*x4^3, x1*x3*x1*x3^2*x4^2*x2, x1*x3*x1*x3*x4^2*x2, x1*x3*x1*x3,
x1*x3*x1*x3^3, x1*x3*x1*x3*x4^2 ]
[ x3*x1, x1, x3*x1*x3*x4^2*x2, x1*x3*x1*x3, x1*x3*x1*x3^3, x1*x3*x1*x3*x4^2 ]
[ x1*x2*x4, x3*x1, x1, x1*x3*x1*x3, x1*x3*x1*x3^3, x1*x3*x1*x3*x4^2 ]
[ x3*x1*x3*x4^3, x3*x1, x3*x1*x3*x4^2*x2, x1*x3*x1*x3, x1*x3*x1*x3^3,
x1*x3*x1*x3*x4^2 ]
[ x1*x2*x4, x3*x1, x1*x3*x1*x3*x4^2*x2, x1*x3*x1*x3, x1*x3*x1*x3^3,
x1*x3*x1*x3*x4^2 ]
[ x3*x1*x3^2*x4^3, x1, x3*x1*x3*x4^2*x2, x1*x3*x1*x3, x1*x3*x1*x3^3,
x1*x3*x1*x3*x4^2 ]
[ x1*x2*x4, x1*x3*x1*x3^2*x4^2*x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3,
x1*x3*x1*x3*x4^2 ]
[ x3*x1*x3*x4^3, x3, x3*x1*x3*x4^2*x2, x1*x3*x1*x3, x1*x3*x1*x3^3,
x1*x3*x1*x3*x4^2 ]
[ x1*x2*x4, x1*x3*x1*x3^2*x4^2*x2, x1*x3*x1*x3*x4^2*x2, x1*x3*x1*x3,
x1*x3*x1*x3^3, x1*x3*x1*x3*x4^2 ]
[ x1*x3*x1*x3*x4^3, x3*x1, x1, x3*x1*x3*x4^2*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x2*x3*x1*x4^3, x2*x3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3, x4^2 ]
[ x2*x3*x1*x4^3, x2*x3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3, x4^2 ]
[ x2*x3*x1*x4^3, x2*x3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3, x4^2 ]
[ x2*x3*x1*x4^3, x1, x2, x1*x3*x1*x3, x1*x3*x1*x3^3, x4^2 ]
[ x2*x3*x1*x4^3, x3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3, x4^2 ]
[ x2*x3*x1*x4^3, x2*x3*x1, x2, x1*x3*x1*x3, x1*x3*x1*x3^3, x4^2 ]
[ x2*x3*x1*x4^3, x3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3, x4^2 ]
[ x2*x3, x1, x2, x1*x3*x1*x3, x1*x3*x1*x3^3, x4^2 ]
[ x3*x1*x4^3, x2*x3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3, x4^2 ]
[ x1*x2*x3*x1*x4^3, x2*x3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3, x4^2 ]
[ x3*x1*x4^3, x2*x3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3, x4^2 ]
[ x1*x3^2*x4^3, x1, x2, x1*x3*x1*x3, x1*x3*x1*x3^3, x4^2 ]
[ x3*x1*x4^3, x3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3, x4^2 ]
[ x1*x2*x3*x1*x4^3, x2*x3*x1, x2, x1*x3*x1*x3, x1*x3*x1*x3^3, x4^2 ]
[ x3*x1*x4^3, x3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3, x4^2 ]
[ x2*x3*x1*x4^3, x2*x3, x1, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x4*x2*x4^2, x2^3*x4*x2*x4*x1, x1*x2*x4*x1*x4, x2^2, x1*x4*x1*x4,
x2^3*x4*x2*x4 ]
[ x4*x2*x4^2, x2^3*x4*x2*x4*x1, x2^3*x3*x4*x2*x4*x1, x2^2, x1*x4*x1*x4,
x2^3*x4*x2*x4 ]
[ x4*x2*x4^2, x2^3*x4*x2*x4*x1, x2*x3*x4^2*x1, x2^2, x1*x4*x1*x4,
x2^3*x4*x2*x4 ]
[ x4*x2*x4^2, x1*x2*x4*x1*x4, x2^3*x3*x4*x2*x4*x1, x2^2, x1*x4*x1*x4,
x2^3*x4*x2*x4 ]
[ x4*x2*x4^2, x3, x1*x2*x4*x1*x4, x2^2, x1*x4*x1*x4, x2^3*x4*x2*x4 ]
[ x4*x2*x4^2, x2*x4^2*x1, x2^3*x3*x4*x2*x4*x1, x2^2, x1*x4*x1*x4,
x2^3*x4*x2*x4 ]
[ x4*x2*x4^2, x3, x2*x3*x4^2*x1, x2^2, x1*x4*x1*x4, x2^3*x4*x2*x4 ]
[ x2^3*x4*x2*x4*x1, x1*x2*x4*x1*x4, x2^3*x3*x4*x2*x4*x1, x2^2, x1*x4*x1*x4,
x2^3*x4*x2*x4 ]
[ x1*x2*x3*x4, x2^3*x4*x2*x4*x1, x1*x2*x4*x1*x4, x2^2, x1*x4*x1*x4,
x2^3*x4*x2*x4 ]
[ x2*x4*x2*x4^2, x2^3*x4*x2*x4*x1, x2^3*x3*x4*x2*x4*x1, x2^2, x1*x4*x1*x4,
x2^3*x4*x2*x4 ]
[ x1*x2*x3*x4, x2^3*x4*x2*x4*x1, x2*x3*x4^2*x1, x2^2, x1*x4*x1*x4,
x2^3*x4*x2*x4 ]
[ x1*x2*x4, x1*x2*x4*x1*x4, x2^3*x3*x4*x2*x4*x1, x2^2, x1*x4*x1*x4,
x2^3*x4*x2*x4 ]
[ x1*x2*x3*x4, x3, x1*x2*x4*x1*x4, x2^2, x1*x4*x1*x4, x2^3*x4*x2*x4 ]
[ x2*x4*x2*x4^2, x2*x4^2*x1, x2^3*x3*x4*x2*x4*x1, x2^2, x1*x4*x1*x4,
x2^3*x4*x2*x4 ]
[ x1*x2*x3*x4, x3, x2*x3*x4^2*x1, x2^2, x1*x4*x1*x4, x2^3*x4*x2*x4 ]
[ x4*x2*x4^2, x2^3*x4*x2*x4*x1, x1*x2*x4*x1*x4, x2^3*x3*x4*x2*x4*x1, x2^2,
x1*x4*x1*x4 ]
[ x4^3, x4^2*x1, x2, x2^2, x1*x2^3*x4*x1*x2*x4, x4^2 ]
[ x4^3, x4^2*x1, x3*x4^2*x1, x2^2, x1*x2^3*x4*x1*x2*x4, x4^2 ]
[ x4^3, x4^2*x1, x2*x3*x4^2*x1, x2^2, x1*x2^3*x4*x1*x2*x4, x4^2 ]
[ x4^3, x2, x3*x4^2*x1, x2^2, x1*x2^3*x4*x1*x2*x4, x4^2 ]
[ x4^3, x3, x2, x2^2, x1*x2^3*x4*x1*x2*x4, x4^2 ]
[ x4^3, x2*x4^2*x1, x3*x4^2*x1, x2^2, x1*x2^3*x4*x1*x2*x4, x4^2 ]
[ x4^3, x3, x2*x3*x4^2*x1, x2^2, x1*x2^3*x4*x1*x2*x4, x4^2 ]
[ x4^2*x1, x2, x3*x4^2*x1, x2^2, x1*x2^3*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4, x4^2*x1, x2, x2^2, x1*x2^3*x4*x1*x2*x4, x4^2 ]
[ x4*x2*x4^2, x4^2*x1, x3*x4^2*x1, x2^2, x1*x2^3*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4, x4^2*x1, x2*x3*x4^2*x1, x2^2, x1*x2^3*x4*x1*x2*x4, x4^2 ]
[ x1*x4, x2, x3*x4^2*x1, x2^2, x1*x2^3*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4, x3, x2, x2^2, x1*x2^3*x4*x1*x2*x4, x4^2 ]
[ x4*x2*x4^2, x2*x4^2*x1, x3*x4^2*x1, x2^2, x1*x2^3*x4*x1*x2*x4, x4^2 ]
[ x1*x3*x4, x3, x2*x3*x4^2*x1, x2^2, x1*x2^3*x4*x1*x2*x4, x4^2 ]
[ x4^3, x4^2*x1, x2, x3*x4^2*x1, x2^2, x1*x2^3*x4*x1*x2*x4 ]
[ x4^3, x4^2*x1, x2, x1*x4*x1*x4, x2^2, x4^2 ]
[ x4^3, x4^2*x1, x3*x4^2*x1, x1*x4*x1*x4, x2^2, x4^2 ]
[ x4^3, x4^2*x1, x2*x3*x4^2*x1, x1*x4*x1*x4, x2^2, x4^2 ]
[ x4^3, x2, x3*x4^2*x1, x1*x4*x1*x4, x2^2, x4^2 ]
[ x4^3, x3, x2, x1*x4*x1*x4, x2^2, x4^2 ]
[ x4^3, x1*x2*x1*x4^2*x1, x3*x4^2*x1, x1*x4*x1*x4, x2^2, x4^2 ]
[ x4^3, x3, x2*x3*x4^2*x1, x1*x4*x1*x4, x2^2, x4^2 ]
[ x4^2*x1, x2, x3*x4^2*x1, x1*x4*x1*x4, x2^2, x4^2 ]
[ x3*x4*x1*x4^2, x4^2*x1, x2, x1*x4*x1*x4, x2^2, x4^2 ]
[ x1*x2*x1*x4^3, x4^2*x1, x3*x4^2*x1, x1*x4*x1*x4, x2^2, x4^2 ]
[ x3*x4*x1*x4^2, x4^2*x1, x2*x3*x4^2*x1, x1*x4*x1*x4, x2^2, x4^2 ]
[ x4*x1*x4^2, x2, x3*x4^2*x1, x1*x4*x1*x4, x2^2, x4^2 ]
[ x3*x4*x1*x4^2, x3, x2, x1*x4*x1*x4, x2^2, x4^2 ]
[ x1*x2*x1*x4^3, x1*x2*x1*x4^2*x1, x3*x4^2*x1, x1*x4*x1*x4, x2^2, x4^2 ]
[ x3*x4*x1*x4^2, x3, x2*x3*x4^2*x1, x1*x4*x1*x4, x2^2, x4^2 ]
[ x4^3, x4^2*x1, x2, x3*x4^2*x1, x1*x4*x1*x4, x2^2 ]
[ x1*x4^3*x1, x1*x4^4, x2, x4^6, x2^2, x1*x4^4*x1 ]
[ x1*x4^3*x1, x1*x4^4, x1*x3*x4^4, x4^6, x2^2, x1*x4^4*x1 ]
[ x1*x4^3*x1, x1*x4^4, x2*x1*x3*x4^4, x4^6, x2^2, x1*x4^4*x1 ]
[ x1*x4^3*x1, x2, x1*x3*x4^4, x4^6, x2^2, x1*x4^4*x1 ]
[ x1*x4^3*x1, x3, x2, x4^6, x2^2, x1*x4^4*x1 ]
[ x1*x4^3*x1, x1*x2*x4^4, x1*x3*x4^4, x4^6, x2^2, x1*x4^4*x1 ]
[ x1*x4^3*x1, x3, x2*x1*x3*x4^4, x4^6, x2^2, x1*x4^4*x1 ]
[ x1*x4^4, x2, x1*x3*x4^4, x4^6, x2^2, x1*x4^4*x1 ]
[ x3*x4^5*x1, x1*x4^4, x2, x4^6, x2^2, x1*x4^4*x1 ]
[ x2*x1*x4^3*x1, x1*x4^4, x1*x3*x4^4, x4^6, x2^2, x1*x4^4*x1 ]
[ x3*x4^5*x1, x1*x4^4, x2*x1*x3*x4^4, x4^6, x2^2, x1*x4^4*x1 ]
[ x4^5*x1, x2, x1*x3*x4^4, x4^6, x2^2, x1*x4^4*x1 ]
[ x3*x4^5*x1, x3, x2, x4^6, x2^2, x1*x4^4*x1 ]
[ x2*x1*x4^3*x1, x1*x2*x4^4, x1*x3*x4^4, x4^6, x2^2, x1*x4^4*x1 ]
[ x3*x4^5*x1, x3, x2*x1*x3*x4^4, x4^6, x2^2, x1*x4^4*x1 ]
[ x1*x4^3*x1, x1*x4^4, x2, x1*x3*x4^4, x4^6, x2^2 ]
[ x3*x4, x4*x1*x4*x1*x4*x1*x4, x1*x2*x4*x1*x4*x1*x4*x1*x4*x1*x4*x1*x4,
x1*x4*x1*x4*x1*x4*x1*x4*x1*x4*x1*x4, x1*x2*x1*x2, x4*x1*x4*x1*x4*x1*x4*x1 ]
[ x3*x4, x4*x1*x4*x1*x4*x1*x4, x3*x4*x1*x4*x1*x4*x1*x4,
x1*x4*x1*x4*x1*x4*x1*x4*x1*x4*x1*x4, x1*x2*x1*x2, x4*x1*x4*x1*x4*x1*x4*x1 ]
[ x3*x4, x4*x1*x4*x1*x4*x1*x4, x1*x2*x3*x4*x1*x4*x1,
x1*x4*x1*x4*x1*x4*x1*x4*x1*x4*x1*x4, x1*x2*x1*x2, x4*x1*x4*x1*x4*x1*x4*x1 ]
[ x3*x4, x1*x2*x4*x1*x4*x1*x4*x1*x4*x1*x4*x1*x4, x3*x4*x1*x4*x1*x4*x1*x4,
x1*x4*x1*x4*x1*x4*x1*x4*x1*x4*x1*x4, x1*x2*x1*x2, x4*x1*x4*x1*x4*x1*x4*x1 ]
[ x3*x4, x3, x1*x2*x4*x1*x4*x1*x4*x1*x4*x1*x4*x1*x4,
x1*x4*x1*x4*x1*x4*x1*x4*x1*x4*x1*x4, x1*x2*x1*x2, x4*x1*x4*x1*x4*x1*x4*x1 ]
[ x3*x4, x2*x1*x4*x1*x4*x1, x3*x4*x1*x4*x1*x4*x1*x4,
x1*x4*x1*x4*x1*x4*x1*x4*x1*x4*x1*x4, x1*x2*x1*x2, x4*x1*x4*x1*x4*x1*x4*x1 ]
[ x3*x4, x3, x1*x2*x3*x4*x1*x4*x1, x1*x4*x1*x4*x1*x4*x1*x4*x1*x4*x1*x4,
x1*x2*x1*x2, x4*x1*x4*x1*x4*x1*x4*x1 ]
[ x4*x1*x4*x1*x4*x1*x4, x1*x2*x4*x1*x4*x1*x4*x1*x4*x1*x4*x1*x4,
x3*x4*x1*x4*x1*x4*x1*x4, x1*x4*x1*x4*x1*x4*x1*x4*x1*x4*x1*x4, x1*x2*x1*x2,
x4*x1*x4*x1*x4*x1*x4*x1 ]
[ x1*x4*x1*x4*x1*x4, x4*x1*x4*x1*x4*x1*x4,
x1*x2*x4*x1*x4*x1*x4*x1*x4*x1*x4*x1*x4, x1*x4*x1*x4*x1*x4*x1*x4*x1*x4*x1*x4,
x1*x2*x1*x2, x4*x1*x4*x1*x4*x1*x4*x1 ]
[ x1*x2*x3*x4*x1*x4*x1*x4*x1*x4*x1*x4*x1, x4*x1*x4*x1*x4*x1*x4,
x3*x4*x1*x4*x1*x4*x1*x4, x1*x4*x1*x4*x1*x4*x1*x4*x1*x4*x1*x4, x1*x2*x1*x2,
x4*x1*x4*x1*x4*x1*x4*x1 ]
[ x1*x4*x1*x4*x1*x4, x4*x1*x4*x1*x4*x1*x4, x1*x2*x3*x4*x1*x4*x1,
x1*x4*x1*x4*x1*x4*x1*x4*x1*x4*x1*x4, x1*x2*x1*x2, x4*x1*x4*x1*x4*x1*x4*x1 ]
[ x1*x3*x4*x1*x4*x1*x4, x1*x2*x4*x1*x4*x1*x4*x1*x4*x1*x4*x1*x4,
x3*x4*x1*x4*x1*x4*x1*x4, x1*x4*x1*x4*x1*x4*x1*x4*x1*x4*x1*x4, x1*x2*x1*x2,
x4*x1*x4*x1*x4*x1*x4*x1 ]
[ x1*x4*x1*x4*x1*x4, x3, x1*x2*x4*x1*x4*x1*x4*x1*x4*x1*x4*x1*x4,
x1*x4*x1*x4*x1*x4*x1*x4*x1*x4*x1*x4, x1*x2*x1*x2, x4*x1*x4*x1*x4*x1*x4*x1 ]
[ x1*x2*x3*x4*x1*x4*x1*x4*x1*x4*x1*x4*x1, x2*x1*x4*x1*x4*x1,
x3*x4*x1*x4*x1*x4*x1*x4, x1*x4*x1*x4*x1*x4*x1*x4*x1*x4*x1*x4, x1*x2*x1*x2,
x4*x1*x4*x1*x4*x1*x4*x1 ]
[ x1*x4*x1*x4*x1*x4, x3, x1*x2*x3*x4*x1*x4*x1,
x1*x4*x1*x4*x1*x4*x1*x4*x1*x4*x1*x4, x1*x2*x1*x2, x4*x1*x4*x1*x4*x1*x4*x1 ]
[ x3*x4, x4*x1*x4*x1*x4*x1*x4, x1*x2*x4*x1*x4*x1*x4*x1*x4*x1*x4*x1*x4,
x3*x4*x1*x4*x1*x4*x1*x4, x1*x4*x1*x4*x1*x4*x1*x4*x1*x4*x1*x4, x1*x2*x1*x2 ]
[ x4^3, x1*x4^2, x1*x2*x1, x1*x4*x1*x4, x1*x2*x1*x2, x4^2 ]
[ x4^3, x1*x4^2, x3, x1*x4*x1*x4, x1*x2*x1*x2, x4^2 ]
[ x4^3, x1*x4^2, x1*x2*x1*x3, x1*x4*x1*x4, x1*x2*x1*x2, x4^2 ]
[ x4^3, x1*x2*x1, x3, x1*x4*x1*x4, x1*x2*x1*x2, x4^2 ]
[ x4^3, x1*x3*x4^2, x1*x2*x1, x1*x4*x1*x4, x1*x2*x1*x2, x4^2 ]
[ x4^3, x2*x1*x4^2, x3, x1*x4*x1*x4, x1*x2*x1*x2, x4^2 ]
[ x4^3, x1*x3*x4^2, x1*x2*x1*x3, x1*x4*x1*x4, x1*x2*x1*x2, x4^2 ]
[ x1*x4^2, x1*x2*x1, x3, x1*x4*x1*x4, x1*x2*x1*x2, x4^2 ]
[ x3*x4^3, x1*x4^2, x1*x2*x1, x1*x4*x1*x4, x1*x2*x1*x2, x4^2 ]
[ x1*x2*x1*x4^3, x1*x4^2, x3, x1*x4*x1*x4, x1*x2*x1*x2, x4^2 ]
[ x3*x4^3, x1*x4^2, x1*x2*x1*x3, x1*x4*x1*x4, x1*x2*x1*x2, x4^2 ]
[ x4*x1, x1*x2*x1, x3, x1*x4*x1*x4, x1*x2*x1*x2, x4^2 ]
[ x3*x4^3, x1*x3*x4^2, x1*x2*x1, x1*x4*x1*x4, x1*x2*x1*x2, x4^2 ]
[ x1*x2*x1*x4^3, x2*x1*x4^2, x3, x1*x4*x1*x4, x1*x2*x1*x2, x4^2 ]
[ x3*x4^3, x1*x3*x4^2, x1*x2*x1*x3, x1*x4*x1*x4, x1*x2*x1*x2, x4^2 ]
[ x4^3, x1*x4^2, x1*x2*x1, x3, x1*x4*x1*x4, x1*x2*x1*x2 ]
[ x4^3, x4^2*x1, x1*x4*x1*x2*x4, x1*x4*x1*x4, x1*x2*x4*x2*x4*x1*x4^2, x4^2 ]
[ x4^3, x4^2*x1, x3*x4^2*x1, x1*x4*x1*x4, x1*x2*x4*x2*x4*x1*x4^2, x4^2 ]
[ x4^3, x4^2*x1, x3*x4*x2*x4^2*x1*x4, x1*x4*x1*x4, x1*x2*x4*x2*x4*x1*x4^2,
x4^2 ]
[ x4^3, x1*x4*x1*x2*x4, x3*x4^2*x1, x1*x4*x1*x4, x1*x2*x4*x2*x4*x1*x4^2, x4^2
]
[ x4^3, x3, x1*x4*x1*x2*x4, x1*x4*x1*x4, x1*x2*x4*x2*x4*x1*x4^2, x4^2 ]
[ x4^3, x4*x2*x4^2*x1*x4, x3*x4^2*x1, x1*x4*x1*x4, x1*x2*x4*x2*x4*x1*x4^2,
x4^2 ]
[ x4^3, x3, x3*x4*x2*x4^2*x1*x4, x1*x4*x1*x4, x1*x2*x4*x2*x4*x1*x4^2, x4^2 ]
[ x4^2*x1, x1*x4*x1*x2*x4, x3*x4^2*x1, x1*x4*x1*x4, x1*x2*x4*x2*x4*x1*x4^2,
x4^2 ]
[ x3*x4*x1*x4^2, x4^2*x1, x1*x4*x1*x2*x4, x1*x4*x1*x4, x1*x2*x4*x2*x4*x1*x4^2,
x4^2 ]
[ x1*x2*x4^3*x1, x4^2*x1, x3*x4^2*x1, x1*x4*x1*x4, x1*x2*x4*x2*x4*x1*x4^2,
x4^2 ]
[ x3*x4*x1*x4^2, x4^2*x1, x3*x4*x2*x4^2*x1*x4, x1*x4*x1*x4,
x1*x2*x4*x2*x4*x1*x4^2, x4^2 ]
[ x4*x1*x4^2, x1*x4*x1*x2*x4, x3*x4^2*x1, x1*x4*x1*x4, x1*x2*x4*x2*x4*x1*x4^2,
x4^2 ]
[ x3*x4*x1*x4^2, x3, x1*x4*x1*x2*x4, x1*x4*x1*x4, x1*x2*x4*x2*x4*x1*x4^2,
x4^2 ]
[ x1*x2*x4^3*x1, x4*x2*x4^2*x1*x4, x3*x4^2*x1, x1*x4*x1*x4,
x1*x2*x4*x2*x4*x1*x4^2, x4^2 ]
[ x3*x4*x1*x4^2, x3, x3*x4*x2*x4^2*x1*x4, x1*x4*x1*x4, x1*x2*x4*x2*x4*x1*x4^2,
x4^2 ]
[ x4^3, x4^2*x1, x1*x4*x1*x2*x4, x3*x4^2*x1, x1*x4*x1*x4,
x1*x2*x4*x2*x4*x1*x4^2 ]
[ x4^3, x1, x2, x2*x3*x4*x2*x3*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1, x2*x4*x2*x3*x4, x2*x3*x4*x2*x3*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1, x4*x2*x3*x4, x2*x3*x4*x2*x3*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x2, x2*x4*x2*x3*x4, x2*x3*x4*x2*x3*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x2*x4*x2*x3*x4, x2, x2*x3*x4*x2*x3*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x2, x2*x4*x2*x3*x4, x2*x3*x4*x2*x3*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1*x2*x4*x2*x3*x4, x4*x2*x3*x4, x2*x3*x4*x2*x3*x4, x1*x2*x4*x1*x2*x4,
x4^2 ]
[ x1, x2, x2*x4*x2*x3*x4, x2*x3*x4*x2*x3*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4^3, x1, x2, x2*x3*x4*x2*x3*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x2*x4^3, x1, x2*x4*x2*x3*x4, x2*x3*x4*x2*x3*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4^3, x1, x4*x2*x3*x4, x2*x3*x4*x2*x3*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4*x1*x4^2, x2, x2*x4*x2*x3*x4, x2*x3*x4*x2*x3*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4^3, x1*x2*x4*x2*x3*x4, x2, x2*x3*x4*x2*x3*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x2*x4^3, x1*x2, x2*x4*x2*x3*x4, x2*x3*x4*x2*x3*x4, x1*x2*x4*x1*x2*x4, x4^2 ]
[ x3*x4^3, x1*x2*x4*x2*x3*x4, x4*x2*x3*x4, x2*x3*x4*x2*x3*x4,
x1*x2*x4*x1*x2*x4, x4^2 ]
[ x4^3, x1, x2, x2*x4*x2*x3*x4, x2*x3*x4*x2*x3*x4, x1*x2*x4*x1*x2*x4 ]
[ x4^3, x1, x2*x4^2, x1*x2*x4*x1*x2*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x1, x3*x4^2, x1*x2*x4*x1*x2*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x1, x2*x3, x1*x2*x4*x1*x2*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x2*x4^2, x3*x4^2, x1*x2*x4*x1*x2*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x1*x3*x4^2, x2*x4^2, x1*x2*x4*x1*x2*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x1*x2*x4^2, x3*x4^2, x1*x2*x4*x1*x2*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x1*x3*x4^2, x2*x3, x1*x2*x4*x1*x2*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x1, x2*x4^2, x3*x4^2, x1*x2*x4*x1*x2*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4*x3, x1, x2*x4^2, x1*x2*x4*x1*x2*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4*x2, x1, x3*x4^2, x1*x2*x4*x1*x2*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4*x3, x1, x2*x3, x1*x2*x4*x1*x2*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4*x1*x4^2, x2*x4^2, x3*x4^2, x1*x2*x4*x1*x2*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4*x3, x1*x3*x4^2, x2*x4^2, x1*x2*x4*x1*x2*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4*x2, x1*x2*x4^2, x3*x4^2, x1*x2*x4*x1*x2*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4*x3, x1*x3*x4^2, x2*x3, x1*x2*x4*x1*x2*x4, x1*x3*x4*x1*x3*x4, x4^2 ]
[ x4^3, x1, x2*x4^2, x3*x4^2, x1*x2*x4*x1*x2*x4, x1*x3*x4*x1*x3*x4 ]
[ x4^3, x4^2*x1, x2, x1*x4*x1*x4, x1*x2*x1*x2, x4^2 ]
[ x4^3, x4^2*x1, x3*x4^2*x1, x1*x4*x1*x4, x1*x2*x1*x2, x4^2 ]
[ x4^3, x4^2*x1, x2*x3*x4^2*x1, x1*x4*x1*x4, x1*x2*x1*x2, x4^2 ]
[ x4^3, x2, x3*x4^2*x1, x1*x4*x1*x4, x1*x2*x1*x2, x4^2 ]
[ x4^3, x3, x2, x1*x4*x1*x4, x1*x2*x1*x2, x4^2 ]
[ x4^3, x1*x2*x1*x4^2*x1, x3*x4^2*x1, x1*x4*x1*x4, x1*x2*x1*x2, x4^2 ]
[ x4^3, x3, x2*x3*x4^2*x1, x1*x4*x1*x4, x1*x2*x1*x2, x4^2 ]
[ x4^2*x1, x2, x3*x4^2*x1, x1*x4*x1*x4, x1*x2*x1*x2, x4^2 ]
[ x1*x3*x4, x4^2*x1, x2, x1*x4*x1*x4, x1*x2*x1*x2, x4^2 ]
[ x2*x4^3, x4^2*x1, x3*x4^2*x1, x1*x4*x1*x4, x1*x2*x1*x2, x4^2 ]
[ x1*x3*x4, x4^2*x1, x2*x3*x4^2*x1, x1*x4*x1*x4, x1*x2*x1*x2, x4^2 ]
[ x1*x3*x4*x3, x2, x3*x4^2*x1, x1*x4*x1*x4, x1*x2*x1*x2, x4^2 ]
[ x1*x3*x4, x3, x2, x1*x4*x1*x4, x1*x2*x1*x2, x4^2 ]
[ x2*x4^3, x1*x2*x1*x4^2*x1, x3*x4^2*x1, x1*x4*x1*x4, x1*x2*x1*x2, x4^2 ]
[ x1*x3*x4, x3, x2*x3*x4^2*x1, x1*x4*x1*x4, x1*x2*x1*x2, x4^2 ]
[ x4^3, x4^2*x1, x2, x3*x4^2*x1, x1*x4*x1*x4, x1*x2*x1*x2 ]
[ x3*x1*x2*x4^3, x3*x1, x1, x1*x3*x1*x3, x2*x3*x2*x3, x1*x2*x3*x1*x2*x3*x4^2 ]
[ x3*x1*x2*x4^3, x3*x1, x2, x1*x3*x1*x3, x2*x3*x2*x3, x1*x2*x3*x1*x2*x3*x4^2 ]
[ x3*x1*x2*x4^3, x3*x1, x1*x2, x1*x3*x1*x3, x2*x3*x2*x3,
x1*x2*x3*x1*x2*x3*x4^2 ]
[ x3*x1*x2*x4^3, x1, x2, x1*x3*x1*x3, x2*x3*x2*x3, x1*x2*x3*x1*x2*x3*x4^2 ]
[ x3*x1*x2*x4^3, x3*x1*x2, x1, x1*x3*x1*x3, x2*x3*x2*x3,
x1*x2*x3*x1*x2*x3*x4^2 ]
[ x3*x1*x2*x4^3, x3, x2, x1*x3*x1*x3, x2*x3*x2*x3, x1*x2*x3*x1*x2*x3*x4^2 ]
[ x3*x1*x2*x4^3, x3*x1*x2, x1*x2, x1*x3*x1*x3, x2*x3*x2*x3,
x1*x2*x3*x1*x2*x3*x4^2 ]
[ x3*x1, x1, x2, x1*x3*x1*x3, x2*x3*x2*x3, x1*x2*x3*x1*x2*x3*x4^2 ]
[ x2*x3*x1*x2*x4^3, x3*x1, x1, x1*x3*x1*x3, x2*x3*x2*x3,
x1*x2*x3*x1*x2*x3*x4^2 ]
[ x1*x3*x1*x2*x4^3, x3*x1, x2, x1*x3*x1*x3, x2*x3*x2*x3,
x1*x2*x3*x1*x2*x3*x4^2 ]
[ x2*x3*x1*x2*x4^3, x3*x1, x1*x2, x1*x3*x1*x3, x2*x3*x2*x3,
x1*x2*x3*x1*x2*x3*x4^2 ]
[ x1*x2*x3*x1*x3*x4^3, x1, x2, x1*x3*x1*x3, x2*x3*x2*x3,
x1*x2*x3*x1*x2*x3*x4^2 ]
[ x2*x3*x1*x2*x4^3, x3*x1*x2, x1, x1*x3*x1*x3, x2*x3*x2*x3,
x1*x2*x3*x1*x2*x3*x4^2 ]
[ x1*x3*x1*x2*x4^3, x3, x2, x1*x3*x1*x3, x2*x3*x2*x3, x1*x2*x3*x1*x2*x3*x4^2 ]
[ x2*x3*x1*x2*x4^3, x3*x1*x2, x1*x2, x1*x3*x1*x3, x2*x3*x2*x3,
x1*x2*x3*x1*x2*x3*x4^2 ]
[ x3*x1*x2*x4^3, x3*x1, x1, x2, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x3*x4*x3*x4^2, x3*x4*x3*x4*x1, x2, x1*x3*x4*x1*x3*x4, x2^2, x3*x4*x3*x4 ]
[ x3*x4*x3*x4^2, x3*x4*x3*x4*x1, x2^2*x4*x3*x4*x1, x1*x3*x4*x1*x3*x4, x2^2,
x3*x4*x3*x4 ]
[ x3*x4*x3*x4^2, x3*x4*x3*x4*x1, x1*x2*x1*x4*x3*x4*x1, x1*x3*x4*x1*x3*x4,
x2^2, x3*x4*x3*x4 ]
[ x3*x4*x3*x4^2, x2, x2^2*x4*x3*x4*x1, x1*x3*x4*x1*x3*x4, x2^2, x3*x4*x3*x4 ]
[ x3*x4*x3*x4^2, x2^2*x3, x2, x1*x3*x4*x1*x3*x4, x2^2, x3*x4*x3*x4 ]
[ x3*x4*x3*x4^2, x1*x2*x1*x3*x4*x3*x4*x1, x2^2*x4*x3*x4*x1, x1*x3*x4*x1*x3*x4,
x2^2, x3*x4*x3*x4 ]
[ x3*x4*x3*x4^2, x2^2*x3, x1*x2*x1*x4*x3*x4*x1, x1*x3*x4*x1*x3*x4, x2^2,
x3*x4*x3*x4 ]
[ x3*x4*x3*x4*x1, x2, x2^2*x4*x3*x4*x1, x1*x3*x4*x1*x3*x4, x2^2, x3*x4*x3*x4 ]
[ x1*x2^2*x3*x4, x3*x4*x3*x4*x1, x2, x1*x3*x4*x1*x3*x4, x2^2, x3*x4*x3*x4 ]
[ x2*x3*x4*x3*x4^2, x3*x4*x3*x4*x1, x2^2*x4*x3*x4*x1, x1*x3*x4*x1*x3*x4,
x2^2, x3*x4*x3*x4 ]
[ x1*x2^2*x3*x4, x3*x4*x3*x4*x1, x1*x2*x1*x4*x3*x4*x1, x1*x3*x4*x1*x3*x4,
x2^2, x3*x4*x3*x4 ]
[ x1*x3*x4*x3, x2, x2^2*x4*x3*x4*x1, x1*x3*x4*x1*x3*x4, x2^2, x3*x4*x3*x4 ]
[ x1*x2^2*x3*x4, x2^2*x3, x2, x1*x3*x4*x1*x3*x4, x2^2, x3*x4*x3*x4 ]
[ x2*x3*x4*x3*x4^2, x1*x2*x1*x3*x4*x3*x4*x1, x2^2*x4*x3*x4*x1,
x1*x3*x4*x1*x3*x4, x2^2, x3*x4*x3*x4 ]
[ x1*x2^2*x3*x4, x2^2*x3, x1*x2*x1*x4*x3*x4*x1, x1*x3*x4*x1*x3*x4, x2^2,
x3*x4*x3*x4 ]
[ x3*x4*x3*x4^2, x3*x4*x3*x4*x1, x2, x2^2*x4*x3*x4*x1, x1*x3*x4*x1*x3*x4,
x2^2 ]
[ x4^3, x4^2*x1, x2, x1*x4*x1*x4, x2^2, x4^2 ]
[ x4^3, x4^2*x1, x2^2*x3*x4^2*x1, x1*x4*x1*x4, x2^2, x4^2 ]
[ x4^3, x4^2*x1, x1*x2*x1*x3*x4^2*x1, x1*x4*x1*x4, x2^2, x4^2 ]
[ x4^3, x2, x2^2*x3*x4^2*x1, x1*x4*x1*x4, x2^2, x4^2 ]
[ x4^3, x2^2*x3, x2, x1*x4*x1*x4, x2^2, x4^2 ]
[ x4^3, x1*x2*x1*x4^2*x1, x2^2*x3*x4^2*x1, x1*x4*x1*x4, x2^2, x4^2 ]
[ x4^3, x2^2*x3, x1*x2*x1*x3*x4^2*x1, x1*x4*x1*x4, x2^2, x4^2 ]
[ x4^2*x1, x2, x2^2*x3*x4^2*x1, x1*x4*x1*x4, x2^2, x4^2 ]
[ x1*x2^2*x3*x4, x4^2*x1, x2, x1*x4*x1*x4, x2^2, x4^2 ]
[ x1*x2*x1*x4^3, x4^2*x1, x2^2*x3*x4^2*x1, x1*x4*x1*x4, x2^2, x4^2 ]
[ x1*x2^2*x3*x4, x4^2*x1, x1*x2*x1*x3*x4^2*x1, x1*x4*x1*x4, x2^2, x4^2 ]
[ x1*x3*x4*x3, x2, x2^2*x3*x4^2*x1, x1*x4*x1*x4, x2^2, x4^2 ]
[ x1*x2^2*x3*x4, x2^2*x3, x2, x1*x4*x1*x4, x2^2, x4^2 ]
[ x1*x2*x1*x4^3, x1*x2*x1*x4^2*x1, x2^2*x3*x4^2*x1, x1*x4*x1*x4, x2^2, x4^2 ]
[ x1*x2^2*x3*x4, x2^2*x3, x1*x2*x1*x3*x4^2*x1, x1*x4*x1*x4, x2^2, x4^2 ]
[ x4^3, x4^2*x1, x2, x2^2*x3*x4^2*x1, x1*x4*x1*x4, x2^2 ]
[ x2*x4*x2*x4^2, x3*x2*x3, x1, x1*x4*x1*x4, x2*x3*x2*x3, x2*x4*x2*x4 ]
[ x2*x4*x2*x4^2, x3*x2*x3, x2*x3*x2, x1*x4*x1*x4, x2*x3*x2*x3, x2*x4*x2*x4 ]
[ x2*x4*x2*x4^2, x3*x2*x3, x1*x2*x3*x2, x1*x4*x1*x4, x2*x3*x2*x3, x2*x4*x2*x4
]
[ x2*x4*x2*x4^2, x1, x2*x3*x2, x1*x4*x1*x4, x2*x3*x2*x3, x2*x4*x2*x4 ]
[ x2*x4*x2*x4^2, x2*x3, x1, x1*x4*x1*x4, x2*x3*x2*x3, x2*x4*x2*x4 ]
[ x2*x4*x2*x4^2, x1*x3*x2*x3, x2*x3*x2, x1*x4*x1*x4, x2*x3*x2*x3, x2*x4*x2*x4
]
[ x2*x4*x2*x4^2, x2*x3, x1*x2*x3*x2, x1*x4*x1*x4, x2*x3*x2*x3, x2*x4*x2*x4 ]
[ x3*x2*x3, x1, x2*x3*x2, x1*x4*x1*x4, x2*x3*x2*x3, x2*x4*x2*x4 ]
[ x2*x3*x2*x4^3, x3*x2*x3, x1, x1*x4*x1*x4, x2*x3*x2*x3, x2*x4*x2*x4 ]
[ x1*x2*x4*x2*x4^2, x3*x2*x3, x2*x3*x2, x1*x4*x1*x4, x2*x3*x2*x3, x2*x4*x2*x4
]
[ x2*x3*x2*x4^3, x3*x2*x3, x1*x2*x3*x2, x1*x4*x1*x4, x2*x3*x2*x3, x2*x4*x2*x4
]
[ x3*x2*x3*x4^3, x1, x2*x3*x2, x1*x4*x1*x4, x2*x3*x2*x3, x2*x4*x2*x4 ]
[ x2*x3*x2*x4^3, x2*x3, x1, x1*x4*x1*x4, x2*x3*x2*x3, x2*x4*x2*x4 ]
[ x1*x2*x4*x2*x4^2, x1*x3*x2*x3, x2*x3*x2, x1*x4*x1*x4, x2*x3*x2*x3,
x2*x4*x2*x4 ]
[ x2*x3*x2*x4^3, x2*x3, x1*x2*x3*x2, x1*x4*x1*x4, x2*x3*x2*x3, x2*x4*x2*x4 ]
[ x2*x4*x2*x4^2, x3*x2*x3, x1, x2*x3*x2, x1*x4*x1*x4, x2*x3*x2*x3 ]
[ x4^3, x4^2*x1, x4*x1*x4^2*x2*x4, x1*x4*x1*x4, x1*x2*x4*x1*x4^2*x2*x4, x4^2 ]
[ x4^3, x4^2*x1, x3*x4^2*x1, x1*x4*x1*x4, x1*x2*x4*x1*x4^2*x2*x4, x4^2 ]
[ x4^3, x4^2*x1, x3*x4*x1*x2*x4*x1, x1*x4*x1*x4, x1*x2*x4*x1*x4^2*x2*x4, x4^2
]
[ x4^3, x4*x1*x4^2*x2*x4, x3*x4^2*x1, x1*x4*x1*x4, x1*x2*x4*x1*x4^2*x2*x4,
x4^2 ]
[ x4^3, x3, x4*x1*x4^2*x2*x4, x1*x4*x1*x4, x1*x2*x4*x1*x4^2*x2*x4, x4^2 ]
[ x4^3, x4*x1*x2*x4*x1, x3*x4^2*x1, x1*x4*x1*x4, x1*x2*x4*x1*x4^2*x2*x4, x4^2
]
[ x4^3, x3, x3*x4*x1*x2*x4*x1, x1*x4*x1*x4, x1*x2*x4*x1*x4^2*x2*x4, x4^2 ]
[ x4^2*x1, x4*x1*x4^2*x2*x4, x3*x4^2*x1, x1*x4*x1*x4, x1*x2*x4*x1*x4^2*x2*x4,
x4^2 ]
[ x3*x4*x1*x4^2, x4^2*x1, x4*x1*x4^2*x2*x4, x1*x4*x1*x4,
x1*x2*x4*x1*x4^2*x2*x4, x4^2 ]
[ x1*x2*x4^3, x4^2*x1, x3*x4^2*x1, x1*x4*x1*x4, x1*x2*x4*x1*x4^2*x2*x4, x4^2 ]
[ x3*x4*x1*x4^2, x4^2*x1, x3*x4*x1*x2*x4*x1, x1*x4*x1*x4,
x1*x2*x4*x1*x4^2*x2*x4, x4^2 ]
[ x4*x1*x4^2, x4*x1*x4^2*x2*x4, x3*x4^2*x1, x1*x4*x1*x4,
x1*x2*x4*x1*x4^2*x2*x4, x4^2 ]
[ x3*x4*x1*x4^2, x3, x4*x1*x4^2*x2*x4, x1*x4*x1*x4, x1*x2*x4*x1*x4^2*x2*x4,
x4^2 ]
[ x1*x2*x4^3, x4*x1*x2*x4*x1, x3*x4^2*x1, x1*x4*x1*x4, x1*x2*x4*x1*x4^2*x2*x4,
x4^2 ]
[ x3*x4*x1*x4^2, x3, x3*x4*x1*x2*x4*x1, x1*x4*x1*x4, x1*x2*x4*x1*x4^2*x2*x4,
x4^2 ]
[ x4^3, x4^2*x1, x4*x1*x4^2*x2*x4, x3*x4^2*x1, x1*x4*x1*x4,
x1*x2*x4*x1*x4^2*x2*x4 ]
[ x2*x4*x2*x4^2, x1*x2*x4*x2*x4, x2, x1^2, x1*x4*x1*x4, x2*x4*x2*x4 ]
[ x2*x4*x2*x4^2, x1*x2*x4*x2*x4, x1*x2*x3*x4*x2*x4, x1^2, x1*x4*x1*x4,
x2*x4*x2*x4 ]
[ x2*x4*x2*x4^2, x1*x2*x4*x2*x4, x1*x3*x4*x2*x4, x1^2, x1*x4*x1*x4,
x2*x4*x2*x4 ]
[ x2*x4*x2*x4^2, x2, x1*x2*x3*x4*x2*x4, x1^2, x1*x4*x1*x4, x2*x4*x2*x4 ]
[ x2*x4*x2*x4^2, x1^2*x3, x2, x1^2, x1*x4*x1*x4, x2*x4*x2*x4 ]
[ x2*x4*x2*x4^2, x1*x4*x2*x4, x1*x2*x3*x4*x2*x4, x1^2, x1*x4*x1*x4,
x2*x4*x2*x4 ]
[ x2*x4*x2*x4^2, x1^2*x3, x1*x3*x4*x2*x4, x1^2, x1*x4*x1*x4, x2*x4*x2*x4 ]
[ x1*x2*x4*x2*x4, x2, x1*x2*x3*x4*x2*x4, x1^2, x1*x4*x1*x4, x2*x4*x2*x4 ]
[ x3*x4*x1, x1*x2*x4*x2*x4, x2, x1^2, x1*x4*x1*x4, x2*x4*x2*x4 ]
[ x2*x4^3, x1*x2*x4*x2*x4, x1*x2*x3*x4*x2*x4, x1^2, x1*x4*x1*x4, x2*x4*x2*x4 ]
[ x3*x4*x1, x1*x2*x4*x2*x4, x1*x3*x4*x2*x4, x1^2, x1*x4*x1*x4, x2*x4*x2*x4 ]
[ x4*x1, x2, x1*x2*x3*x4*x2*x4, x1^2, x1*x4*x1*x4, x2*x4*x2*x4 ]
[ x3*x4*x1, x1^2*x3, x2, x1^2, x1*x4*x1*x4, x2*x4*x2*x4 ]
[ x2*x4^3, x1*x4*x2*x4, x1*x2*x3*x4*x2*x4, x1^2, x1*x4*x1*x4, x2*x4*x2*x4 ]
[ x3*x4*x1, x1^2*x3, x1*x3*x4*x2*x4, x1^2, x1*x4*x1*x4, x2*x4*x2*x4 ]
[ x2*x4*x2*x4^2, x1*x2*x4*x2*x4, x2, x1*x2*x3*x4*x2*x4, x1^2, x1*x4*x1*x4 ]
[ x1*x2*x1*x4*x2*x4*x1*x4, x1*x2*x1*x4*x2*x4*x1, x2*x1, x4^2, x1*x2*x1*x2,
x1*x2*x1*x4*x2*x4 ]
[ x1*x2*x1*x4*x2*x4*x1*x4, x1*x2*x1*x4*x2*x4*x1, x1*x2*x1*x3*x4*x2*x4*x1,
x4^2, x1*x2*x1*x2, x1*x2*x1*x4*x2*x4 ]
[ x1*x2*x1*x4*x2*x4*x1*x4, x1*x2*x1*x4*x2*x4*x1, x1*x3*x4*x2*x4*x1, x4^2,
x1*x2*x1*x2, x1*x2*x1*x4*x2*x4 ]
[ x1*x2*x1*x4*x2*x4*x1*x4, x2*x1, x1*x2*x1*x3*x4*x2*x4*x1, x4^2, x1*x2*x1*x2,
x1*x2*x1*x4*x2*x4 ]
[ x1*x2*x1*x4*x2*x4*x1*x4, x3, x2*x1, x4^2, x1*x2*x1*x2, x1*x2*x1*x4*x2*x4 ]
[ x1*x2*x1*x4*x2*x4*x1*x4, x2*x1*x2*x4*x2*x4*x1, x1*x2*x1*x3*x4*x2*x4*x1,
x4^2, x1*x2*x1*x2, x1*x2*x1*x4*x2*x4 ]
[ x1*x2*x1*x4*x2*x4*x1*x4, x3, x1*x3*x4*x2*x4*x1, x4^2, x1*x2*x1*x2,
x1*x2*x1*x4*x2*x4 ]
[ x1*x2*x1*x4*x2*x4*x1, x2*x1, x1*x2*x1*x3*x4*x2*x4*x1, x4^2, x1*x2*x1*x2,
x1*x2*x1*x4*x2*x4 ]
[ x3*x4, x1*x2*x1*x4*x2*x4*x1, x2*x1, x4^2, x1*x2*x1*x2, x1*x2*x1*x4*x2*x4 ]
[ x2*x4*x1*x4*x1*x4, x1*x2*x1*x4*x2*x4*x1, x1*x2*x1*x3*x4*x2*x4*x1, x4^2,
x1*x2*x1*x2, x1*x2*x1*x4*x2*x4 ]
[ x3*x4, x1*x2*x1*x4*x2*x4*x1, x1*x3*x4*x2*x4*x1, x4^2, x1*x2*x1*x2,
x1*x2*x1*x4*x2*x4 ]
[ x4, x2*x1, x1*x2*x1*x3*x4*x2*x4*x1, x4^2, x1*x2*x1*x2, x1*x2*x1*x4*x2*x4 ]
[ x3*x4, x3, x2*x1, x4^2, x1*x2*x1*x2, x1*x2*x1*x4*x2*x4 ]
[ x2*x4*x1*x4*x1*x4, x2*x1*x2*x4*x2*x4*x1, x1*x2*x1*x3*x4*x2*x4*x1, x4^2,
x1*x2*x1*x2, x1*x2*x1*x4*x2*x4 ]
[ x3*x4, x3, x1*x3*x4*x2*x4*x1, x4^2, x1*x2*x1*x2, x1*x2*x1*x4*x2*x4 ]
[ x1*x2*x1*x4*x2*x4*x1*x4, x1*x2*x1*x4*x2*x4*x1, x2*x1,
x1*x2*x1*x3*x4*x2*x4*x1, x4^2, x1*x2*x1*x2 ]
[ x2*x1*x2*x4*x2*x4*x1*x4, x1*x4*x1*x4*x1, x2*x1, x1*x2*x4*x1*x2*x4,
x1*x2*x1*x2, x1*x4*x1*x4 ]
[ x2*x1*x2*x4*x2*x4*x1*x4, x1*x4*x1*x4*x1, x1*x3*x4*x1*x4*x1,
x1*x2*x4*x1*x2*x4, x1*x2*x1*x2, x1*x4*x1*x4 ]
[ x2*x1*x2*x4*x2*x4*x1*x4, x1*x4*x1*x4*x1, x2*x3*x4*x1*x4*x1,
x1*x2*x4*x1*x2*x4, x1*x2*x1*x2, x1*x4*x1*x4 ]
[ x2*x1*x2*x4*x2*x4*x1*x4, x2*x1, x1*x3*x4*x1*x4*x1, x1*x2*x4*x1*x2*x4,
x1*x2*x1*x2, x1*x4*x1*x4 ]
[ x2*x1*x2*x4*x2*x4*x1*x4, x3, x2*x1, x1*x2*x4*x1*x2*x4, x1*x2*x1*x2,
x1*x4*x1*x4 ]
[ x2*x1*x2*x4*x2*x4*x1*x4, x1*x2*x1*x4*x1*x4*x1, x1*x3*x4*x1*x4*x1,
x1*x2*x4*x1*x2*x4, x1*x2*x1*x2, x1*x4*x1*x4 ]
[ x2*x1*x2*x4*x2*x4*x1*x4, x3, x2*x3*x4*x1*x4*x1, x1*x2*x4*x1*x2*x4,
x1*x2*x1*x2, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1, x2*x1, x1*x3*x4*x1*x4*x1, x1*x2*x4*x1*x2*x4, x1*x2*x1*x2,
x1*x4*x1*x4 ]
[ x3*x4*x1*x2, x1*x4*x1*x4*x1, x2*x1, x1*x2*x4*x1*x2*x4, x1*x2*x1*x2,
x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x1*x4*x1*x4*x1, x1*x3*x4*x1*x4*x1, x1*x2*x4*x1*x2*x4,
x1*x2*x1*x2, x1*x4*x1*x4 ]
[ x3*x4*x1*x2, x1*x4*x1*x4*x1, x2*x3*x4*x1*x4*x1, x1*x2*x4*x1*x2*x4,
x1*x2*x1*x2, x1*x4*x1*x4 ]
[ x4*x1*x2, x2*x1, x1*x3*x4*x1*x4*x1, x1*x2*x4*x1*x2*x4, x1*x2*x1*x2,
x1*x4*x1*x4 ]
[ x3*x4*x1*x2, x3, x2*x1, x1*x2*x4*x1*x2*x4, x1*x2*x1*x2, x1*x4*x1*x4 ]
[ x1*x4*x1*x4*x1*x4, x1*x2*x1*x4*x1*x4*x1, x1*x3*x4*x1*x4*x1,
x1*x2*x4*x1*x2*x4, x1*x2*x1*x2, x1*x4*x1*x4 ]
[ x3*x4*x1*x2, x3, x2*x3*x4*x1*x4*x1, x1*x2*x4*x1*x2*x4, x1*x2*x1*x2,
x1*x4*x1*x4 ]
[ x2*x1*x2*x4*x2*x4*x1*x4, x1*x4*x1*x4*x1, x2*x1, x1*x3*x4*x1*x4*x1,
x1*x2*x4*x1*x2*x4, x1*x2*x1*x2 ]
[ x1^3*x4^3*x1, x4^4*x1, x1^2*x2, x4^6, x1^2, x1^3*x4^4*x1 ]
[ x1^3*x4^3*x1, x4^4*x1, x3*x4^4*x1, x4^6, x1^2, x1^3*x4^4*x1 ]
[ x1^3*x4^3*x1, x4^4*x1, x1^2*x2*x3*x4^4*x1, x4^6, x1^2, x1^3*x4^4*x1 ]
[ x1^3*x4^3*x1, x1^2*x2, x3*x4^4*x1, x4^6, x1^2, x1^3*x4^4*x1 ]
[ x1^3*x4^3*x1, x1^2*x3, x1^2*x2, x4^6, x1^2, x1^3*x4^4*x1 ]
[ x1^3*x4^3*x1, x2*x4^4*x1, x3*x4^4*x1, x4^6, x1^2, x1^3*x4^4*x1 ]
[ x1^3*x4^3*x1, x1^2*x3, x1^2*x2*x3*x4^4*x1, x4^6, x1^2, x1^3*x4^4*x1 ]
[ x4^4*x1, x1^2*x2, x3*x4^4*x1, x4^6, x1^2, x1^3*x4^4*x1 ]
[ x1^2*x3*x4*x1, x4^4*x1, x1^2*x2, x4^6, x1^2, x1^3*x4^4*x1 ]
[ x1^3*x2*x4^3*x1, x4^4*x1, x3*x4^4*x1, x4^6, x1^2, x1^3*x4^4*x1 ]
[ x1^2*x3*x4*x1, x4^4*x1, x1^2*x2*x3*x4^4*x1, x4^6, x1^2, x1^3*x4^4*x1 ]
[ x1^2*x4*x1, x1^2*x2, x3*x4^4*x1, x4^6, x1^2, x1^3*x4^4*x1 ]
[ x1^2*x3*x4*x1, x1^2*x3, x1^2*x2, x4^6, x1^2, x1^3*x4^4*x1 ]
[ x1^3*x2*x4^3*x1, x2*x4^4*x1, x3*x4^4*x1, x4^6, x1^2, x1^3*x4^4*x1 ]
[ x1^2*x3*x4*x1, x1^2*x3, x1^2*x2*x3*x4^4*x1, x4^6, x1^2, x1^3*x4^4*x1 ]
[ x1^3*x4^3*x1, x4^4*x1, x1^2*x2, x3*x4^4*x1, x4^6, x1^2 ]
[ x4^3, x2, x4^2*x1, x2*x3*x2*x3, x2^3*x3*x2*x3, x4^2 ]
[ x4^3, x2, x2^2*x3, x2*x3*x2*x3, x2^3*x3*x2*x3, x4^2 ]
[ x4^3, x2, x2^2*x3*x4^2*x1, x2*x3*x2*x3, x2^3*x3*x2*x3, x4^2 ]
[ x4^3, x4^2*x1, x2^2*x3, x2*x3*x2*x3, x2^3*x3*x2*x3, x4^2 ]
[ x4^3, x2^3*x3, x4^2*x1, x2*x3*x2*x3, x2^3*x3*x2*x3, x4^2 ]
[ x4^3, x2*x4^2*x1, x2^2*x3, x2*x3*x2*x3, x2^3*x3*x2*x3, x4^2 ]
[ x4^3, x2^3*x3, x2^2*x3*x4^2*x1, x2*x3*x2*x3, x2^3*x3*x2*x3, x4^2 ]
[ x2, x4^2*x1, x2^2*x3, x2*x3*x2*x3, x2^3*x3*x2*x3, x4^2 ]
[ x2^3*x3*x2*x4^3, x2, x4^2*x1, x2*x3*x2*x3, x2^3*x3*x2*x3, x4^2 ]
[ x1*x4, x2, x2^2*x3, x2*x3*x2*x3, x2^3*x3*x2*x3, x4^2 ]
[ x2^3*x3*x2*x4^3, x2, x2^2*x3*x4^2*x1, x2*x3*x2*x3, x2^3*x3*x2*x3, x4^2 ]
[ x2*x4^3, x4^2*x1, x2^2*x3, x2*x3*x2*x3, x2^3*x3*x2*x3, x4^2 ]
[ x2^3*x3*x2*x4^3, x2^3*x3, x4^2*x1, x2*x3*x2*x3, x2^3*x3*x2*x3, x4^2 ]
[ x1*x4, x2*x4^2*x1, x2^2*x3, x2*x3*x2*x3, x2^3*x3*x2*x3, x4^2 ]
[ x2^3*x3*x2*x4^3, x2^3*x3, x2^2*x3*x4^2*x1, x2*x3*x2*x3, x2^3*x3*x2*x3, x4^2
]
[ x4^3, x2, x4^2*x1, x2^2*x3, x2*x3*x2*x3, x2^3*x3*x2*x3 ]
[ x2*x4^3, x2, x4^2*x1, x2*x3*x2*x3, x2^3*x3*x2*x3, x4^2 ]
[ x2*x4^3, x2, x2^2*x3, x2*x3*x2*x3, x2^3*x3*x2*x3, x4^2 ]
[ x2*x4^3, x2, x2^2*x3*x4^2*x1, x2*x3*x2*x3, x2^3*x3*x2*x3, x4^2 ]
[ x2*x4^3, x4^2*x1, x2^2*x3, x2*x3*x2*x3, x2^3*x3*x2*x3, x4^2 ]
[ x2*x4^3, x2^3*x3, x4^2*x1, x2*x3*x2*x3, x2^3*x3*x2*x3, x4^2 ]
[ x2*x4^3, x2*x4^2*x1, x2^2*x3, x2*x3*x2*x3, x2^3*x3*x2*x3, x4^2 ]
[ x2*x4^3, x2^3*x3, x2^2*x3*x4^2*x1, x2*x3*x2*x3, x2^3*x3*x2*x3, x4^2 ]
[ x2, x4^2*x1, x2^2*x3, x2*x3*x2*x3, x2^3*x3*x2*x3, x4^2 ]
[ x3*x2*x4^3, x2, x4^2*x1, x2*x3*x2*x3, x2^3*x3*x2*x3, x4^2 ]
[ x1*x2*x4, x2, x2^2*x3, x2*x3*x2*x3, x2^3*x3*x2*x3, x4^2 ]
[ x3*x2*x4^3, x2, x2^2*x3*x4^2*x1, x2*x3*x2*x3, x2^3*x3*x2*x3, x4^2 ]
[ x2^2*x4^3, x4^2*x1, x2^2*x3, x2*x3*x2*x3, x2^3*x3*x2*x3, x4^2 ]
[ x3*x2*x4^3, x2^3*x3, x4^2*x1, x2*x3*x2*x3, x2^3*x3*x2*x3, x4^2 ]
[ x1*x2*x4, x2*x4^2*x1, x2^2*x3, x2*x3*x2*x3, x2^3*x3*x2*x3, x4^2 ]
[ x3*x2*x4^3, x2^3*x3, x2^2*x3*x4^2*x1, x2*x3*x2*x3, x2^3*x3*x2*x3, x4^2 ]
[ x2*x4^3, x2, x4^2*x1, x2^2*x3, x2*x3*x2*x3, x2^3*x3*x2*x3 ]
[ x1*x4^3*x1, x1*x4^4, x1*x4*x1*x2*x4, x4^6, x1*x2*x4*x1*x2*x4, x1*x4^4*x1 ]
[ x1*x4^3*x1, x1*x4^4, x1*x3*x4^4, x4^6, x1*x2*x4*x1*x2*x4, x1*x4^4*x1 ]
[ x1*x4^3*x1, x1*x4^4, x1*x3*x4*x2*x4^3, x4^6, x1*x2*x4*x1*x2*x4, x1*x4^4*x1 ]
[ x1*x4^3*x1, x1*x4*x1*x2*x4, x1*x3*x4^4, x4^6, x1*x2*x4*x1*x2*x4, x1*x4^4*x1
]
[ x1*x4^3*x1, x3, x1*x4*x1*x2*x4, x4^6, x1*x2*x4*x1*x2*x4, x1*x4^4*x1 ]
[ x1*x4^3*x1, x1*x4*x2*x4^3, x1*x3*x4^4, x4^6, x1*x2*x4*x1*x2*x4, x1*x4^4*x1 ]
[ x1*x4^3*x1, x3, x1*x3*x4*x2*x4^3, x4^6, x1*x2*x4*x1*x2*x4, x1*x4^4*x1 ]
[ x1*x4^4, x1*x4*x1*x2*x4, x1*x3*x4^4, x4^6, x1*x2*x4*x1*x2*x4, x1*x4^4*x1 ]
[ x3*x4^5*x1, x1*x4^4, x1*x4*x1*x2*x4, x4^6, x1*x2*x4*x1*x2*x4, x1*x4^4*x1 ]
[ x1*x2*x4^3*x1, x1*x4^4, x1*x3*x4^4, x4^6, x1*x2*x4*x1*x2*x4, x1*x4^4*x1 ]
[ x3*x4^5*x1, x1*x4^4, x1*x3*x4*x2*x4^3, x4^6, x1*x2*x4*x1*x2*x4, x1*x4^4*x1 ]
[ x4^5*x1, x1*x4*x1*x2*x4, x1*x3*x4^4, x4^6, x1*x2*x4*x1*x2*x4, x1*x4^4*x1 ]
[ x3*x4^5*x1, x3, x1*x4*x1*x2*x4, x4^6, x1*x2*x4*x1*x2*x4, x1*x4^4*x1 ]
[ x1*x2*x4^3*x1, x1*x4*x2*x4^3, x1*x3*x4^4, x4^6, x1*x2*x4*x1*x2*x4,
x1*x4^4*x1 ]
[ x3*x4^5*x1, x3, x1*x3*x4*x2*x4^3, x4^6, x1*x2*x4*x1*x2*x4, x1*x4^4*x1 ]
[ x1*x4^3*x1, x1*x4^4, x1*x4*x1*x2*x4, x1*x3*x4^4, x4^6, x1*x2*x4*x1*x2*x4 ]
[ x1^2*x4^3, x1^2*x4^2*x2, x1, x1^2, x1^3*x3*x1*x3, x1^2*x4^2 ]
[ x1^2*x4^3, x1^2*x4^2*x2, x1^3*x3*x1*x4^2*x2, x1^2, x1^3*x3*x1*x3, x1^2*x4^2
]
[ x1^2*x4^3, x1^2*x4^2*x2, x3*x1*x4^2*x2, x1^2, x1^3*x3*x1*x3, x1^2*x4^2 ]
[ x1^2*x4^3, x1, x1^3*x3*x1*x4^2*x2, x1^2, x1^3*x3*x1*x3, x1^2*x4^2 ]
[ x1^2*x4^3, x1*x3*x1, x1, x1^2, x1^3*x3*x1*x3, x1^2*x4^2 ]
[ x1^2*x4^3, x1^3*x4^2*x2, x1^3*x3*x1*x4^2*x2, x1^2, x1^3*x3*x1*x3, x1^2*x4^2
]
[ x1^2*x4^3, x1*x3*x1, x3*x1*x4^2*x2, x1^2, x1^3*x3*x1*x3, x1^2*x4^2 ]
[ x1^2*x4^2*x2, x1, x1^3*x3*x1*x4^2*x2, x1^2, x1^3*x3*x1*x3, x1^2*x4^2 ]
[ x1^3*x2*x3*x1*x4, x1^2*x4^2*x2, x1, x1^2, x1^3*x3*x1*x3, x1^2*x4^2 ]
[ x3*x1*x3*x4^3, x1^2*x4^2*x2, x1^3*x3*x1*x4^2*x2, x1^2, x1^3*x3*x1*x3,
x1^2*x4^2 ]
[ x1^3*x2*x3*x1*x4, x1^2*x4^2*x2, x3*x1*x4^2*x2, x1^2, x1^3*x3*x1*x3,
x1^2*x4^2 ]
[ x2*x4, x1, x1^3*x3*x1*x4^2*x2, x1^2, x1^3*x3*x1*x3, x1^2*x4^2 ]
[ x1^3*x2*x3*x1*x4, x1*x3*x1, x1, x1^2, x1^3*x3*x1*x3, x1^2*x4^2 ]
[ x3*x1*x3*x4^3, x1^3*x4^2*x2, x1^3*x3*x1*x4^2*x2, x1^2, x1^3*x3*x1*x3,
x1^2*x4^2 ]
[ x1^3*x2*x3*x1*x4, x1*x3*x1, x3*x1*x4^2*x2, x1^2, x1^3*x3*x1*x3, x1^2*x4^2 ]
[ x1^2*x4^3, x1^2*x4^2*x2, x1, x1^3*x3*x1*x4^2*x2, x1^2, x1^3*x3*x1*x3 ]
[ x4^3, x4^2*x2, x1, x1*x3*x1*x3, x1^3*x3*x1*x3, x4^2 ]
[ x4^3, x4^2*x2, x1^2*x3*x4^2*x2, x1*x3*x1*x3, x1^3*x3*x1*x3, x4^2 ]
[ x4^3, x4^2*x2, x1^3*x3*x4^2*x2, x1*x3*x1*x3, x1^3*x3*x1*x3, x4^2 ]
[ x4^3, x1, x1^2*x3*x4^2*x2, x1*x3*x1*x3, x1^3*x3*x1*x3, x4^2 ]
[ x4^3, x1^2*x3, x1, x1*x3*x1*x3, x1^3*x3*x1*x3, x4^2 ]
[ x4^3, x1*x4^2*x2, x1^2*x3*x4^2*x2, x1*x3*x1*x3, x1^3*x3*x1*x3, x4^2 ]
[ x4^3, x1^2*x3, x1^3*x3*x4^2*x2, x1*x3*x1*x3, x1^3*x3*x1*x3, x4^2 ]
[ x4^2*x2, x1, x1^2*x3*x4^2*x2, x1*x3*x1*x3, x1^3*x3*x1*x3, x4^2 ]
[ x1^3*x2*x3*x1*x4, x4^2*x2, x1, x1*x3*x1*x3, x1^3*x3*x1*x3, x4^2 ]
[ x1*x4^3, x4^2*x2, x1^2*x3*x4^2*x2, x1*x3*x1*x3, x1^3*x3*x1*x3, x4^2 ]
[ x1^3*x2*x3*x1*x4, x4^2*x2, x1^3*x3*x4^2*x2, x1*x3*x1*x3, x1^3*x3*x1*x3,
x4^2 ]
[ x2*x4, x1, x1^2*x3*x4^2*x2, x1*x3*x1*x3, x1^3*x3*x1*x3, x4^2 ]
[ x1^3*x2*x3*x1*x4, x1^2*x3, x1, x1*x3*x1*x3, x1^3*x3*x1*x3, x4^2 ]
[ x1*x4^3, x1*x4^2*x2, x1^2*x3*x4^2*x2, x1*x3*x1*x3, x1^3*x3*x1*x3, x4^2 ]
[ x1^3*x2*x3*x1*x4, x1^2*x3, x1^3*x3*x4^2*x2, x1*x3*x1*x3, x1^3*x3*x1*x3,
x4^2 ]
[ x4^3, x4^2*x2, x1, x1^2*x3*x4^2*x2, x1*x3*x1*x3, x1^3*x3*x1*x3 ]
[ x1*x3*x1*x3*x4^3, x1*x3*x1*x3*x4^2*x2, x1, x1*x3*x1*x3, x1^3*x3*x1*x3,
x1*x3*x1*x3*x4^2 ]
[ x1*x3*x1*x3*x4^3, x1*x3*x1*x3*x4^2*x2, x1^3*x3*x1*x4^2*x2, x1*x3*x1*x3,
x1^3*x3*x1*x3, x1*x3*x1*x3*x4^2 ]
[ x1*x3*x1*x3*x4^3, x1*x3*x1*x3*x4^2*x2, x3*x1*x4^2*x2, x1*x3*x1*x3,
x1^3*x3*x1*x3, x1*x3*x1*x3*x4^2 ]
[ x1*x3*x1*x3*x4^3, x1, x1^3*x3*x1*x4^2*x2, x1*x3*x1*x3, x1^3*x3*x1*x3,
x1*x3*x1*x3*x4^2 ]
[ x1*x3*x1*x3*x4^3, x1^2*x3, x1, x1*x3*x1*x3, x1^3*x3*x1*x3, x1*x3*x1*x3*x4^2
]
[ x1*x3*x1*x3*x4^3, x1^2*x3*x1*x3*x4^2*x2, x1^3*x3*x1*x4^2*x2, x1*x3*x1*x3,
x1^3*x3*x1*x3, x1*x3*x1*x3*x4^2 ]
[ x1*x3*x1*x3*x4^3, x1^2*x3, x3*x1*x4^2*x2, x1*x3*x1*x3, x1^3*x3*x1*x3,
x1*x3*x1*x3*x4^2 ]
[ x1*x3*x1*x3*x4^2*x2, x1, x1^3*x3*x1*x4^2*x2, x1*x3*x1*x3, x1^3*x3*x1*x3,
x1*x3*x1*x3*x4^2 ]
[ x1^3*x2*x3*x1*x4, x1*x3*x1*x3*x4^2*x2, x1, x1*x3*x1*x3, x1^3*x3*x1*x3,
x1*x3*x1*x3*x4^2 ]
[ x1^3*x4^3, x1*x3*x1*x3*x4^2*x2, x1^3*x3*x1*x4^2*x2, x1*x3*x1*x3,
x1^3*x3*x1*x3, x1*x3*x1*x3*x4^2 ]
[ x1^3*x2*x3*x1*x4, x1*x3*x1*x3*x4^2*x2, x3*x1*x4^2*x2, x1*x3*x1*x3,
x1^3*x3*x1*x3, x1*x3*x1*x3*x4^2 ]
[ x2*x4, x1, x1^3*x3*x1*x4^2*x2, x1*x3*x1*x3, x1^3*x3*x1*x3, x1*x3*x1*x3*x4^2
]
[ x1^3*x2*x3*x1*x4, x1^2*x3, x1, x1*x3*x1*x3, x1^3*x3*x1*x3, x1*x3*x1*x3*x4^2
]
[ x1^3*x4^3, x1^2*x3*x1*x3*x4^2*x2, x1^3*x3*x1*x4^2*x2, x1*x3*x1*x3,
x1^3*x3*x1*x3, x1*x3*x1*x3*x4^2 ]
[ x1^3*x2*x3*x1*x4, x1^2*x3, x3*x1*x4^2*x2, x1*x3*x1*x3, x1^3*x3*x1*x3,
x1*x3*x1*x3*x4^2 ]
[ x1*x3*x1*x3*x4^3, x1*x3*x1*x3*x4^2*x2, x1, x1^3*x3*x1*x4^2*x2, x1*x3*x1*x3,
x1^3*x3*x1*x3 ]
[ x2*x3*x2*x3^2*x4^3, x1*x2, x1, x2*x3*x2*x3, x2*x3*x2*x3^3,
x2*x3*x2*x3^3*x4^2 ]
[ x2*x3*x2*x3^2*x4^3, x1*x2, x3, x2*x3*x2*x3, x2*x3*x2*x3^3,
x2*x3*x2*x3^3*x4^2 ]
[ x2*x3*x2*x3^2*x4^3, x1*x2, x1*x3, x2*x3*x2*x3, x2*x3*x2*x3^3,
x2*x3*x2*x3^3*x4^2 ]
[ x2*x3*x2*x3^2*x4^3, x1, x3, x2*x3*x2*x3, x2*x3*x2*x3^3, x2*x3*x2*x3^3*x4^2 ]
[ x2*x3*x2*x3^2*x4^3, x1*x2*x3, x1, x2*x3*x2*x3, x2*x3*x2*x3^3,
x2*x3*x2*x3^3*x4^2 ]
[ x2*x3*x2*x3^2*x4^3, x2, x3, x2*x3*x2*x3, x2*x3*x2*x3^3, x2*x3*x2*x3^3*x4^2 ]
[ x2*x3*x2*x3^2*x4^3, x1*x2*x3, x1*x3, x2*x3*x2*x3, x2*x3*x2*x3^3,
x2*x3*x2*x3^3*x4^2 ]
[ x1*x2, x1, x3, x2*x3*x2*x3, x2*x3*x2*x3^3, x2*x3*x2*x3^3*x4^2 ]
[ x3^2*x4^3, x1*x2, x1, x2*x3*x2*x3, x2*x3*x2*x3^3, x2*x3*x2*x3^3*x4^2 ]
[ x1*x2*x3*x2*x3^2*x4^3, x1*x2, x3, x2*x3*x2*x3, x2*x3*x2*x3^3,
x2*x3*x2*x3^3*x4^2 ]
[ x3^2*x4^3, x1*x2, x1*x3, x2*x3*x2*x3, x2*x3*x2*x3^3, x2*x3*x2*x3^3*x4^2 ]
[ x1*x3*x2*x3^2*x4^3, x1, x3, x2*x3*x2*x3, x2*x3*x2*x3^3, x2*x3*x2*x3^3*x4^2 ]
[ x3^2*x4^3, x1*x2*x3, x1, x2*x3*x2*x3, x2*x3*x2*x3^3, x2*x3*x2*x3^3*x4^2 ]
[ x1*x2*x3*x2*x3^2*x4^3, x2, x3, x2*x3*x2*x3, x2*x3*x2*x3^3,
x2*x3*x2*x3^3*x4^2 ]
[ x3^2*x4^3, x1*x2*x3, x1*x3, x2*x3*x2*x3, x2*x3*x2*x3^3, x2*x3*x2*x3^3*x4^2 ]
[ x2*x3*x2*x3^2*x4^3, x1*x2, x1, x3, x2*x3*x2*x3, x2*x3*x2*x3^3 ]
[ x4^3, x2, x1, x2*x3*x2*x3, x2^3*x3*x2*x3, x4^2 ]
[ x4^3, x2, x2^2*x3, x2*x3*x2*x3, x2^3*x3*x2*x3, x4^2 ]
[ x4^3, x2, x1*x2^2*x3, x2*x3*x2*x3, x2^3*x3*x2*x3, x4^2 ]
[ x4^3, x1, x2^2*x3, x2*x3*x2*x3, x2^3*x3*x2*x3, x4^2 ]
[ x4^3, x2^3*x3, x1, x2*x3*x2*x3, x2^3*x3*x2*x3, x4^2 ]
[ x4^3, x1*x2, x2^2*x3, x2*x3*x2*x3, x2^3*x3*x2*x3, x4^2 ]
[ x4^3, x2^3*x3, x1*x2^2*x3, x2*x3*x2*x3, x2^3*x3*x2*x3, x4^2 ]
[ x2, x1, x2^2*x3, x2*x3*x2*x3, x2^3*x3*x2*x3, x4^2 ]
[ x2^3*x3*x2*x4^3, x2, x1, x2*x3*x2*x3, x2^3*x3*x2*x3, x4^2 ]
[ x1*x4^3, x2, x2^2*x3, x2*x3*x2*x3, x2^3*x3*x2*x3, x4^2 ]
[ x2^3*x3*x2*x4^3, x2, x1*x2^2*x3, x2*x3*x2*x3, x2^3*x3*x2*x3, x4^2 ]
[ x2*x4^3, x1, x2^2*x3, x2*x3*x2*x3, x2^3*x3*x2*x3, x4^2 ]
[ x2^3*x3*x2*x4^3, x2^3*x3, x1, x2*x3*x2*x3, x2^3*x3*x2*x3, x4^2 ]
[ x1*x4^3, x1*x2, x2^2*x3, x2*x3*x2*x3, x2^3*x3*x2*x3, x4^2 ]
[ x2^3*x3*x2*x4^3, x2^3*x3, x1*x2^2*x3, x2*x3*x2*x3, x2^3*x3*x2*x3, x4^2 ]
[ x4^3, x2, x1, x2^2*x3, x2*x3*x2*x3, x2^3*x3*x2*x3 ]
[ x1*x4*x1*x4^2, x1*x2*x4*x2*x4, x2, x2*x4*x2*x4, x1*x2*x1*x2, x1*x4*x1*x4 ]
[ x1*x4*x1*x4^2, x1*x2*x4*x2*x4, x3, x2*x4*x2*x4, x1*x2*x1*x2, x1*x4*x1*x4 ]
[ x1*x4*x1*x4^2, x1*x2*x4*x2*x4, x2*x3, x2*x4*x2*x4, x1*x2*x1*x2, x1*x4*x1*x4
]
[ x1*x4*x1*x4^2, x2, x3, x2*x4*x2*x4, x1*x2*x1*x2, x1*x4*x1*x4 ]
[ x1*x4*x1*x4^2, x1*x2*x3*x4*x2*x4, x2, x2*x4*x2*x4, x1*x2*x1*x2, x1*x4*x1*x4
]
[ x1*x4*x1*x4^2, x1*x4*x2*x4, x3, x2*x4*x2*x4, x1*x2*x1*x2, x1*x4*x1*x4 ]
[ x1*x4*x1*x4^2, x1*x2*x3*x4*x2*x4, x2*x3, x2*x4*x2*x4, x1*x2*x1*x2,
x1*x4*x1*x4 ]
[ x1*x2*x4*x2*x4, x2, x3, x2*x4*x2*x4, x1*x2*x1*x2, x1*x4*x1*x4 ]
[ x1*x3*x4*x1*x4^2, x1*x2*x4*x2*x4, x2, x2*x4*x2*x4, x1*x2*x1*x2, x1*x4*x1*x4
]
[ x2*x1*x4*x1*x4^2, x1*x2*x4*x2*x4, x3, x2*x4*x2*x4, x1*x2*x1*x2, x1*x4*x1*x4
]
[ x1*x3*x4*x1*x4^2, x1*x2*x4*x2*x4, x2*x3, x2*x4*x2*x4, x1*x2*x1*x2,
x1*x4*x1*x4 ]
[ x4*x1*x4^2, x2, x3, x2*x4*x2*x4, x1*x2*x1*x2, x1*x4*x1*x4 ]
[ x1*x3*x4*x1*x4^2, x1*x2*x3*x4*x2*x4, x2, x2*x4*x2*x4, x1*x2*x1*x2,
x1*x4*x1*x4 ]
[ x2*x1*x4*x1*x4^2, x1*x4*x2*x4, x3, x2*x4*x2*x4, x1*x2*x1*x2, x1*x4*x1*x4 ]
[ x1*x3*x4*x1*x4^2, x1*x2*x3*x4*x2*x4, x2*x3, x2*x4*x2*x4, x1*x2*x1*x2,
x1*x4*x1*x4 ]
[ x1*x4*x1*x4^2, x1*x2*x4*x2*x4, x2, x3, x2*x4*x2*x4, x1*x2*x1*x2 ]
[ x2*x4, x4^2*x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3, x4^2 ]
[ x2*x4, x4^2*x2, x1*x3*x4^2*x2, x1*x3*x1*x3, x1*x3*x1*x3^3, x4^2 ]
[ x2*x4, x4^2*x2, x3*x4^2*x2, x1*x3*x1*x3, x1*x3*x1*x3^3, x4^2 ]
[ x2*x4, x1, x1*x3*x4^2*x2, x1*x3*x1*x3, x1*x3*x1*x3^3, x4^2 ]
[ x2*x4, x1*x3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3, x4^2 ]
[ x2*x4, x1*x4^2*x2, x1*x3*x4^2*x2, x1*x3*x1*x3, x1*x3*x1*x3^3, x4^2 ]
[ x2*x4, x1*x3, x3*x4^2*x2, x1*x3*x1*x3, x1*x3*x1*x3^3, x4^2 ]
[ x4^2*x2, x1, x1*x3*x4^2*x2, x1*x3*x1*x3, x1*x3*x1*x3^3, x4^2 ]
[ x3*x1*x3^2*x4^3, x4^2*x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3, x4^2 ]
[ x1*x2*x4, x4^2*x2, x1*x3*x4^2*x2, x1*x3*x1*x3, x1*x3*x1*x3^3, x4^2 ]
[ x3*x1*x3^2*x4^3, x4^2*x2, x3*x4^2*x2, x1*x3*x1*x3, x1*x3*x1*x3^3, x4^2 ]
[ x4^3, x1, x1*x3*x4^2*x2, x1*x3*x1*x3, x1*x3*x1*x3^3, x4^2 ]
[ x3*x1*x3^2*x4^3, x1*x3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3, x4^2 ]
[ x1*x2*x4, x1*x4^2*x2, x1*x3*x4^2*x2, x1*x3*x1*x3, x1*x3*x1*x3^3, x4^2 ]
[ x3*x1*x3^2*x4^3, x1*x3, x3*x4^2*x2, x1*x3*x1*x3, x1*x3*x1*x3^3, x4^2 ]
[ x2*x4, x4^2*x2, x1, x1*x3*x4^2*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x4^3, x4^2*x1, x2, x1*x4*x1*x4, x2^2, x4^2 ]
[ x4^3, x4^2*x1, x3*x4^2*x1, x1*x4*x1*x4, x2^2, x4^2 ]
[ x4^3, x4^2*x1, x2*x3*x4^2*x1, x1*x4*x1*x4, x2^2, x4^2 ]
[ x4^3, x2, x3*x4^2*x1, x1*x4*x1*x4, x2^2, x4^2 ]
[ x4^3, x3, x2, x1*x4*x1*x4, x2^2, x4^2 ]
[ x4^3, x1*x2*x1*x4^2*x1, x3*x4^2*x1, x1*x4*x1*x4, x2^2, x4^2 ]
[ x4^3, x3, x2*x3*x4^2*x1, x1*x4*x1*x4, x2^2, x4^2 ]
[ x4^2*x1, x2, x3*x4^2*x1, x1*x4*x1*x4, x2^2, x4^2 ]
[ x3*x4*x1*x4^2, x4^2*x1, x2, x1*x4*x1*x4, x2^2, x4^2 ]
[ x1*x2*x1*x4^3, x4^2*x1, x3*x4^2*x1, x1*x4*x1*x4, x2^2, x4^2 ]
[ x3*x4*x1*x4^2, x4^2*x1, x2*x3*x4^2*x1, x1*x4*x1*x4, x2^2, x4^2 ]
[ x4*x1*x4^2, x2, x3*x4^2*x1, x1*x4*x1*x4, x2^2, x4^2 ]
[ x3*x4*x1*x4^2, x3, x2, x1*x4*x1*x4, x2^2, x4^2 ]
[ x1*x2*x1*x4^3, x1*x2*x1*x4^2*x1, x3*x4^2*x1, x1*x4*x1*x4, x2^2, x4^2 ]
[ x3*x4*x1*x4^2, x3, x2*x3*x4^2*x1, x1*x4*x1*x4, x2^2, x4^2 ]
[ x4^3, x4^2*x1, x2, x3*x4^2*x1, x1*x4*x1*x4, x2^2 ]
[ x4^3, x4^2*x1, x2, x1*x4*x1*x4, x2^2, x4^2 ]
[ x4^3, x4^2*x1, x2^2*x4*x3*x4*x1, x1*x4*x1*x4, x2^2, x4^2 ]
[ x4^3, x4^2*x1, x1*x2*x1*x4*x3*x4*x1, x1*x4*x1*x4, x2^2, x4^2 ]
[ x4^3, x2, x2^2*x4*x3*x4*x1, x1*x4*x1*x4, x2^2, x4^2 ]
[ x4^3, x1*x2^2*x3*x4*x1*x4, x2, x1*x4*x1*x4, x2^2, x4^2 ]
[ x4^3, x1*x2*x1*x4^2*x1, x2^2*x4*x3*x4*x1, x1*x4*x1*x4, x2^2, x4^2 ]
[ x4^3, x1*x2^2*x3*x4*x1*x4, x1*x2*x1*x4*x3*x4*x1, x1*x4*x1*x4, x2^2, x4^2 ]
[ x4^2*x1, x2, x2^2*x4*x3*x4*x1, x1*x4*x1*x4, x2^2, x4^2 ]
[ x1*x2^2*x4*x3, x4^2*x1, x2, x1*x4*x1*x4, x2^2, x4^2 ]
[ x1*x2*x1*x4^3, x4^2*x1, x2^2*x4*x3*x4*x1, x1*x4*x1*x4, x2^2, x4^2 ]
[ x1*x2^2*x4*x3, x4^2*x1, x1*x2*x1*x4*x3*x4*x1, x1*x4*x1*x4, x2^2, x4^2 ]
[ x1*x3*x4*x3, x2, x2^2*x4*x3*x4*x1, x1*x4*x1*x4, x2^2, x4^2 ]
[ x1*x2^2*x4*x3, x1*x2^2*x3*x4*x1*x4, x2, x1*x4*x1*x4, x2^2, x4^2 ]
[ x1*x2*x1*x4^3, x1*x2*x1*x4^2*x1, x2^2*x4*x3*x4*x1, x1*x4*x1*x4, x2^2, x4^2 ]
[ x1*x2^2*x4*x3, x1*x2^2*x3*x4*x1*x4, x1*x2*x1*x4*x3*x4*x1, x1*x4*x1*x4,
x2^2, x4^2 ]
[ x4^3, x4^2*x1, x2, x2^2*x4*x3*x4*x1, x1*x4*x1*x4, x2^2 ]
[ x2*x1*x3*x4^3, x3, x2*x1*x2, x2*x3*x2*x3, x1*x2*x1*x2,
x1*x2*x1*x3*x2*x3*x4^2 ]
[ x2*x1*x3*x4^3, x3, x1*x2*x1*x2*x3*x2*x3, x2*x3*x2*x3, x1*x2*x1*x2,
x1*x2*x1*x3*x2*x3*x4^2 ]
[ x2*x1*x3*x4^3, x3, x1*x3*x2*x3, x2*x3*x2*x3, x1*x2*x1*x2,
x1*x2*x1*x3*x2*x3*x4^2 ]
[ x2*x1*x3*x4^3, x2*x1*x2, x1*x2*x1*x2*x3*x2*x3, x2*x3*x2*x3, x1*x2*x1*x2,
x1*x2*x1*x3*x2*x3*x4^2 ]
[ x2*x1*x3*x4^3, x1*x2*x1*x3, x2*x1*x2, x2*x3*x2*x3, x1*x2*x1*x2,
x1*x2*x1*x3*x2*x3*x4^2 ]
[ x2*x1*x3*x4^3, x2*x1*x2*x3, x1*x2*x1*x2*x3*x2*x3, x2*x3*x2*x3, x1*x2*x1*x2,
x1*x2*x1*x3*x2*x3*x4^2 ]
[ x2*x1*x3*x4^3, x1*x2*x1*x3, x1*x3*x2*x3, x2*x3*x2*x3, x1*x2*x1*x2,
x1*x2*x1*x3*x2*x3*x4^2 ]
[ x3, x2*x1*x2, x1*x2*x1*x2*x3*x2*x3, x2*x3*x2*x3, x1*x2*x1*x2,
x1*x2*x1*x3*x2*x3*x4^2 ]
[ x2*x1*x3*x2*x4^3, x3, x2*x1*x2, x2*x3*x2*x3, x1*x2*x1*x2,
x1*x2*x1*x3*x2*x3*x4^2 ]
[ x3*x2*x4^3, x3, x1*x2*x1*x2*x3*x2*x3, x2*x3*x2*x3, x1*x2*x1*x2,
x1*x2*x1*x3*x2*x3*x4^2 ]
[ x2*x1*x3*x2*x4^3, x3, x1*x3*x2*x3, x2*x3*x2*x3, x1*x2*x1*x2,
x1*x2*x1*x3*x2*x3*x4^2 ]
[ x2*x1*x4^3, x2*x1*x2, x1*x2*x1*x2*x3*x2*x3, x2*x3*x2*x3, x1*x2*x1*x2,
x1*x2*x1*x3*x2*x3*x4^2 ]
[ x2*x1*x3*x2*x4^3, x1*x2*x1*x3, x2*x1*x2, x2*x3*x2*x3, x1*x2*x1*x2,
x1*x2*x1*x3*x2*x3*x4^2 ]
[ x3*x2*x4^3, x2*x1*x2*x3, x1*x2*x1*x2*x3*x2*x3, x2*x3*x2*x3, x1*x2*x1*x2,
x1*x2*x1*x3*x2*x3*x4^2 ]
[ x2*x1*x3*x2*x4^3, x1*x2*x1*x3, x1*x3*x2*x3, x2*x3*x2*x3, x1*x2*x1*x2,
x1*x2*x1*x3*x2*x3*x4^2 ]
[ x2*x1*x3*x4^3, x3, x2*x1*x2, x1*x2*x1*x2*x3*x2*x3, x2*x3*x2*x3, x1*x2*x1*x2
]
[ x2*x3*x2*x3*x4*x2*x4*x2*x4, x1*x2*x3*x1*x2, x3*x1*x3, x2*x3*x2*x3,
x1*x3*x1*x3, x3*x2*x3*x4*x2*x4 ]
[ x2*x3*x2*x3*x4*x2*x4*x2*x4, x1*x2*x3*x1*x2, x2, x2*x3*x2*x3, x1*x3*x1*x3,
x3*x2*x3*x4*x2*x4 ]
[ x2*x3*x2*x3*x4*x2*x4*x2*x4, x1*x2*x3*x1*x2, x2*x3*x1*x3, x2*x3*x2*x3,
x1*x3*x1*x3, x3*x2*x3*x4*x2*x4 ]
[ x2*x3*x2*x3*x4*x2*x4*x2*x4, x3*x1*x3, x2, x2*x3*x2*x3, x1*x3*x1*x3,
x3*x2*x3*x4*x2*x4 ]
[ x2*x3*x2*x3*x4*x2*x4*x2*x4, x1*x2*x3*x1, x3*x1*x3, x2*x3*x2*x3,
x1*x3*x1*x3, x3*x2*x3*x4*x2*x4 ]
[ x2*x3*x2*x3*x4*x2*x4*x2*x4, x2*x3*x1*x2, x2, x2*x3*x2*x3, x1*x3*x1*x3,
x3*x2*x3*x4*x2*x4 ]
[ x2*x3*x2*x3*x4*x2*x4*x2*x4, x1*x2*x3*x1, x2*x3*x1*x3, x2*x3*x2*x3,
x1*x3*x1*x3, x3*x2*x3*x4*x2*x4 ]
[ x1*x2*x3*x1*x2, x3*x1*x3, x2, x2*x3*x2*x3, x1*x3*x1*x3, x3*x2*x3*x4*x2*x4 ]
[ x2*x4*x2*x4*x2*x4, x1*x2*x3*x1*x2, x3*x1*x3, x2*x3*x2*x3, x1*x3*x1*x3,
x3*x2*x3*x4*x2*x4 ]
[ x3*x1*x3*x4*x2*x4*x2*x4, x1*x2*x3*x1*x2, x2, x2*x3*x2*x3, x1*x3*x1*x3,
x3*x2*x3*x4*x2*x4 ]
[ x2*x4*x2*x4*x2*x4, x1*x2*x3*x1*x2, x2*x3*x1*x3, x2*x3*x2*x3, x1*x3*x1*x3,
x3*x2*x3*x4*x2*x4 ]
[ x1*x3*x1*x4*x2*x4*x2*x4, x3*x1*x3, x2, x2*x3*x2*x3, x1*x3*x1*x3,
x3*x2*x3*x4*x2*x4 ]
[ x2*x4*x2*x4*x2*x4, x1*x2*x3*x1, x3*x1*x3, x2*x3*x2*x3, x1*x3*x1*x3,
x3*x2*x3*x4*x2*x4 ]
[ x3*x1*x3*x4*x2*x4*x2*x4, x2*x3*x1*x2, x2, x2*x3*x2*x3, x1*x3*x1*x3,
x3*x2*x3*x4*x2*x4 ]
[ x2*x4*x2*x4*x2*x4, x1*x2*x3*x1, x2*x3*x1*x3, x2*x3*x2*x3, x1*x3*x1*x3,
x3*x2*x3*x4*x2*x4 ]
[ x2*x3*x2*x3*x4*x2*x4*x2*x4, x1*x2*x3*x1*x2, x3*x1*x3, x2, x2*x3*x2*x3,
x1*x3*x1*x3 ]
[ x1*x2*x1*x3*x1*x3*x4^3, x2*x1*x2*x3*x1, x3*x1*x3, x2*x1*x2*x3*x1*x3,
x1*x2*x1*x2, x4^2 ]
[ x1*x2*x1*x3*x1*x3*x4^3, x2*x1*x2*x3*x1, x2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2,
x4^2 ]
[ x1*x2*x1*x3*x1*x3*x4^3, x2*x1*x2*x3*x1, x1*x2*x1*x3*x1*x3,
x2*x1*x2*x3*x1*x3, x1*x2*x1*x2, x4^2 ]
[ x1*x2*x1*x3*x1*x3*x4^3, x3*x1*x3, x2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2, x4^2 ]
[ x1*x2*x1*x3*x1*x3*x4^3, x1*x2*x3*x1, x3*x1*x3, x2*x1*x2*x3*x1*x3,
x1*x2*x1*x2, x4^2 ]
[ x1*x2*x1*x3*x1*x3*x4^3, x1*x2*x1*x2*x3*x1, x2, x2*x1*x2*x3*x1*x3,
x1*x2*x1*x2, x4^2 ]
[ x1*x2*x1*x3*x1*x3*x4^3, x1*x2*x3*x1, x1*x2*x1*x3*x1*x3, x2*x1*x2*x3*x1*x3,
x1*x2*x1*x2, x4^2 ]
[ x2*x1*x2*x3*x1, x3*x1*x3, x2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2, x4^2 ]
[ x1*x2*x1*x2*x3*x1*x3*x4^3, x2*x1*x2*x3*x1, x3*x1*x3, x2*x1*x2*x3*x1*x3,
x1*x2*x1*x2, x4^2 ]
[ x1*x2*x1*x4^3, x2*x1*x2*x3*x1, x2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2, x4^2 ]
[ x1*x2*x1*x2*x3*x1*x3*x4^3, x2*x1*x2*x3*x1, x1*x2*x1*x3*x1*x3,
x2*x1*x2*x3*x1*x3, x1*x2*x1*x2, x4^2 ]
[ x1*x2*x3*x4^3, x3*x1*x3, x2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2, x4^2 ]
[ x1*x2*x1*x2*x3*x1*x3*x4^3, x1*x2*x3*x1, x3*x1*x3, x2*x1*x2*x3*x1*x3,
x1*x2*x1*x2, x4^2 ]
[ x1*x2*x1*x4^3, x1*x2*x1*x2*x3*x1, x2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2, x4^2 ]
[ x1*x2*x1*x2*x3*x1*x3*x4^3, x1*x2*x3*x1, x1*x2*x1*x3*x1*x3,
x2*x1*x2*x3*x1*x3, x1*x2*x1*x2, x4^2 ]
[ x1*x2*x1*x3*x1*x3*x4^3, x2*x1*x2*x3*x1, x3*x1*x3, x2, x2*x1*x2*x3*x1*x3,
x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x3*x1*x3*x4^3, x2*x1*x2*x3*x1, x1*x2*x1*x2*x3*x1*x3,
x2*x1*x2*x3*x1*x3, x1*x2*x1*x2, x4^2 ]
[ x1*x2*x1*x2*x3*x1*x3*x4^3, x2*x1*x2*x3*x1, x2, x2*x1*x2*x3*x1*x3,
x1*x2*x1*x2, x4^2 ]
[ x1*x2*x1*x2*x3*x1*x3*x4^3, x2*x1*x2*x3*x1, x2*x3*x1*x3, x2*x1*x2*x3*x1*x3,
x1*x2*x1*x2, x4^2 ]
[ x1*x2*x1*x2*x3*x1*x3*x4^3, x1*x2*x1*x2*x3*x1*x3, x2, x2*x1*x2*x3*x1*x3,
x1*x2*x1*x2, x4^2 ]
[ x1*x2*x1*x2*x3*x1*x3*x4^3, x1*x2*x3*x1, x1*x2*x1*x2*x3*x1*x3,
x2*x1*x2*x3*x1*x3, x1*x2*x1*x2, x4^2 ]
[ x1*x2*x1*x2*x3*x1*x3*x4^3, x3*x1, x2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2, x4^2 ]
[ x1*x2*x1*x2*x3*x1*x3*x4^3, x1*x2*x3*x1, x2*x3*x1*x3, x2*x1*x2*x3*x1*x3,
x1*x2*x1*x2, x4^2 ]
[ x2*x1*x2*x3*x1, x1*x2*x1*x2*x3*x1*x3, x2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2,
x4^2 ]
[ x1*x2*x1*x3*x1*x3*x4^3, x2*x1*x2*x3*x1, x1*x2*x1*x2*x3*x1*x3,
x2*x1*x2*x3*x1*x3, x1*x2*x1*x2, x4^2 ]
[ x4^3, x2*x1*x2*x3*x1, x2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2, x4^2 ]
[ x1*x2*x1*x3*x1*x3*x4^3, x2*x1*x2*x3*x1, x2*x3*x1*x3, x2*x1*x2*x3*x1*x3,
x1*x2*x1*x2, x4^2 ]
[ x2*x1*x2*x3*x4^3, x1*x2*x1*x2*x3*x1*x3, x2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2,
x4^2 ]
[ x1*x2*x1*x3*x1*x3*x4^3, x1*x2*x3*x1, x1*x2*x1*x2*x3*x1*x3,
x2*x1*x2*x3*x1*x3, x1*x2*x1*x2, x4^2 ]
[ x4^3, x3*x1, x2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2, x4^2 ]
[ x1*x2*x1*x3*x1*x3*x4^3, x1*x2*x3*x1, x2*x3*x1*x3, x2*x1*x2*x3*x1*x3,
x1*x2*x1*x2, x4^2 ]
[ x1*x2*x1*x2*x3*x1*x3*x4^3, x2*x1*x2*x3*x1, x1*x2*x1*x2*x3*x1*x3, x2,
x2*x1*x2*x3*x1*x3, x1*x2*x1*x2 ]
[ x4^3, x1*x2^2*x3, x1, x2*x3*x2*x3, x2^2, x4^2 ]
[ x4^3, x1*x2^2*x3, x2, x2*x3*x2*x3, x2^2, x4^2 ]
[ x4^3, x1*x2^2*x3, x1*x2, x2*x3*x2*x3, x2^2, x4^2 ]
[ x4^3, x1, x2, x2*x3*x2*x3, x2^2, x4^2 ]
[ x4^3, x1*x2^2*x3*x2, x1, x2*x3*x2*x3, x2^2, x4^2 ]
[ x4^3, x2^2*x3, x2, x2*x3*x2*x3, x2^2, x4^2 ]
[ x4^3, x1*x2^2*x3*x2, x1*x2, x2*x3*x2*x3, x2^2, x4^2 ]
[ x1*x2^2*x3, x1, x2, x2*x3*x2*x3, x2^2, x4^2 ]
[ x2*x4^3, x1*x2^2*x3, x1, x2*x3*x2*x3, x2^2, x4^2 ]
[ x1*x4^3, x1*x2^2*x3, x2, x2*x3*x2*x3, x2^2, x4^2 ]
[ x2*x4^3, x1*x2^2*x3, x1*x2, x2*x3*x2*x3, x2^2, x4^2 ]
[ x2*x1*x3*x2*x4^3, x1, x2, x2*x3*x2*x3, x2^2, x4^2 ]
[ x2*x4^3, x1*x2^2*x3*x2, x1, x2*x3*x2*x3, x2^2, x4^2 ]
[ x1*x4^3, x2^2*x3, x2, x2*x3*x2*x3, x2^2, x4^2 ]
[ x2*x4^3, x1*x2^2*x3*x2, x1*x2, x2*x3*x2*x3, x2^2, x4^2 ]
[ x4^3, x1*x2^2*x3, x1, x2, x2*x3*x2*x3, x2^2 ]
[ x1*x2*x1*x4^3, x1*x2*x3*x2, x1, x2*x3*x2*x3, x2^2, x4^2 ]
[ x1*x2*x1*x4^3, x1*x2*x3*x2, x2, x2*x3*x2*x3, x2^2, x4^2 ]
[ x1*x2*x1*x4^3, x1*x2*x3*x2, x1*x2, x2*x3*x2*x3, x2^2, x4^2 ]
[ x1*x2*x1*x4^3, x1, x2, x2*x3*x2*x3, x2^2, x4^2 ]
[ x1*x2*x1*x4^3, x2*x1*x3, x1, x2*x3*x2*x3, x2^2, x4^2 ]
[ x1*x2*x1*x4^3, x2*x3*x2, x2, x2*x3*x2*x3, x2^2, x4^2 ]
[ x1*x2*x1*x4^3, x2*x1*x3, x1*x2, x2*x3*x2*x3, x2^2, x4^2 ]
[ x1*x2*x3*x2, x1, x2, x2*x3*x2*x3, x2^2, x4^2 ]
[ x2^2*x4^3, x1*x2*x3*x2, x1, x2*x3*x2*x3, x2^2, x4^2 ]
[ x2*x1*x4^3, x1*x2*x3*x2, x2, x2*x3*x2*x3, x2^2, x4^2 ]
[ x2^2*x4^3, x1*x2*x3*x2, x1*x2, x2*x3*x2*x3, x2^2, x4^2 ]
[ x1*x2^2*x3*x2*x4^3, x1, x2, x2*x3*x2*x3, x2^2, x4^2 ]
[ x2^2*x4^3, x2*x1*x3, x1, x2*x3*x2*x3, x2^2, x4^2 ]
[ x2*x1*x4^3, x2*x3*x2, x2, x2*x3*x2*x3, x2^2, x4^2 ]
[ x2^2*x4^3, x2*x1*x3, x1*x2, x2*x3*x2*x3, x2^2, x4^2 ]
[ x1*x2*x1*x4^3, x1*x2*x3*x2, x1, x2, x2*x3*x2*x3, x2^2 ]
[ x3*x2*x3*x4^3, x1*x2*x3*x2, x1, x2*x3*x2*x3, x2^2, x2^2*x4^2 ]
[ x3*x2*x3*x4^3, x1*x2*x3*x2, x2, x2*x3*x2*x3, x2^2, x2^2*x4^2 ]
[ x3*x2*x3*x4^3, x1*x2*x3*x2, x1*x2, x2*x3*x2*x3, x2^2, x2^2*x4^2 ]
[ x3*x2*x3*x4^3, x1, x2, x2*x3*x2*x3, x2^2, x2^2*x4^2 ]
[ x3*x2*x3*x4^3, x2*x1*x3, x1, x2*x3*x2*x3, x2^2, x2^2*x4^2 ]
[ x3*x2*x3*x4^3, x2*x3*x2, x2, x2*x3*x2*x3, x2^2, x2^2*x4^2 ]
[ x3*x2*x3*x4^3, x2*x1*x3, x1*x2, x2*x3*x2*x3, x2^2, x2^2*x4^2 ]
[ x1*x2*x3*x2, x1, x2, x2*x3*x2*x3, x2^2, x2^2*x4^2 ]
[ x4^3, x1*x2*x3*x2, x1, x2*x3*x2*x3, x2^2, x2^2*x4^2 ]
[ x1*x3*x2*x3*x4^3, x1*x2*x3*x2, x2, x2*x3*x2*x3, x2^2, x2^2*x4^2 ]
[ x4^3, x1*x2*x3*x2, x1*x2, x2*x3*x2*x3, x2^2, x2^2*x4^2 ]
[ x1*x2*x3*x4^3, x1, x2, x2*x3*x2*x3, x2^2, x2^2*x4^2 ]
[ x4^3, x2*x1*x3, x1, x2*x3*x2*x3, x2^2, x2^2*x4^2 ]
[ x1*x3*x2*x3*x4^3, x2*x3*x2, x2, x2*x3*x2*x3, x2^2, x2^2*x4^2 ]
[ x4^3, x2*x1*x3, x1*x2, x2*x3*x2*x3, x2^2, x2^2*x4^2 ]
[ x3*x2*x3*x4^3, x1*x2*x3*x2, x1, x2, x2*x3*x2*x3, x2^2 ]
[ x4^3, x1^3*x2*x1*x2*x3, x1, x1^2, x1^3*x2*x1*x2, x4^2 ]
[ x4^3, x1^3*x2*x1*x2*x3, x2, x1^2, x1^3*x2*x1*x2, x4^2 ]
[ x4^3, x1^3*x2*x1*x2*x3, x1*x2, x1^2, x1^3*x2*x1*x2, x4^2 ]
[ x4^3, x1, x2, x1^2, x1^3*x2*x1*x2, x4^2 ]
[ x4^3, x2*x3, x1, x1^2, x1^3*x2*x1*x2, x4^2 ]
[ x4^3, x1^2*x2*x1*x2*x3, x2, x1^2, x1^3*x2*x1*x2, x4^2 ]
[ x4^3, x2*x3, x1*x2, x1^2, x1^3*x2*x1*x2, x4^2 ]
[ x1^3*x2*x1*x2*x3, x1, x2, x1^2, x1^3*x2*x1*x2, x4^2 ]
[ x1^2*x2*x4^3, x1^3*x2*x1*x2*x3, x1, x1^2, x1^3*x2*x1*x2, x4^2 ]
[ x1^3*x4^3, x1^3*x2*x1*x2*x3, x2, x1^2, x1^3*x2*x1*x2, x4^2 ]
[ x1^2*x2*x4^3, x1^3*x2*x1*x2*x3, x1*x2, x1^2, x1^3*x2*x1*x2, x4^2 ]
[ x1^3*x2*x1*x2*x3*x4^3, x1, x2, x1^2, x1^3*x2*x1*x2, x4^2 ]
[ x1^2*x2*x4^3, x2*x3, x1, x1^2, x1^3*x2*x1*x2, x4^2 ]
[ x1^3*x4^3, x1^2*x2*x1*x2*x3, x2, x1^2, x1^3*x2*x1*x2, x4^2 ]
[ x1^2*x2*x4^3, x2*x3, x1*x2, x1^2, x1^3*x2*x1*x2, x4^2 ]
[ x4^3, x1^3*x2*x1*x2*x3, x1, x2, x1^2, x1^3*x2*x1*x2 ]
[ x4^3, x3*x1*x2, x1, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3*x1*x2, x2, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3*x1*x2, x1*x2, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x4^3, x1, x2, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3*x1, x1, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3*x2, x2, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3*x1, x1*x2, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x3*x1*x2, x1, x2, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x3*x1*x3*x4^3, x3*x1*x2, x1, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x3*x1*x3*x4^3, x3*x1*x2, x2, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x3*x1*x3*x4^3, x3*x1*x2, x1*x2, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x3*x1*x2*x4^3, x1, x2, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x3*x1*x3*x4^3, x3*x1, x1, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x3*x1*x3*x4^3, x3*x2, x2, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x3*x1*x3*x4^3, x3*x1, x1*x2, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3*x1*x2, x1, x2, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x2^3*x3*x4, x1*x2^2*x4*x1*x4*x2, x1, x1*x2*x4*x1*x2*x4, x2^2,
x1*x2^2*x4*x1*x4 ]
[ x2^3*x3*x4, x1*x2^2*x4*x1*x4*x2, x1*x2^2*x3*x4*x1*x4*x2, x1*x2*x4*x1*x2*x4,
x2^2, x1*x2^2*x4*x1*x4 ]
[ x2^3*x3*x4, x1*x2^2*x4*x1*x4*x2, x2^2*x3*x4*x1*x4*x2, x1*x2*x4*x1*x2*x4,
x2^2, x1*x2^2*x4*x1*x4 ]
[ x2^3*x3*x4, x1, x1*x2^2*x3*x4*x1*x4*x2, x1*x2*x4*x1*x2*x4, x2^2,
x1*x2^2*x4*x1*x4 ]
[ x2^3*x3*x4, x3, x1, x1*x2*x4*x1*x2*x4, x2^2, x1*x2^2*x4*x1*x4 ]
[ x2^3*x3*x4, x2^2*x4*x1*x4*x2, x1*x2^2*x3*x4*x1*x4*x2, x1*x2*x4*x1*x2*x4,
x2^2, x1*x2^2*x4*x1*x4 ]
[ x2^3*x3*x4, x3, x2^2*x3*x4*x1*x4*x2, x1*x2*x4*x1*x2*x4, x2^2,
x1*x2^2*x4*x1*x4 ]
[ x1*x2^2*x4*x1*x4*x2, x1, x1*x2^2*x3*x4*x1*x4*x2, x1*x2*x4*x1*x2*x4, x2^2,
x1*x2^2*x4*x1*x4 ]
[ x1*x4*x1*x4^2, x1*x2^2*x4*x1*x4*x2, x1, x1*x2*x4*x1*x2*x4, x2^2,
x1*x2^2*x4*x1*x4 ]
[ x2^3*x3*x4*x1, x1*x2^2*x4*x1*x4*x2, x1*x2^2*x3*x4*x1*x4*x2,
x1*x2*x4*x1*x2*x4, x2^2, x1*x2^2*x4*x1*x4 ]
[ x1*x4*x1*x4^2, x1*x2^2*x4*x1*x4*x2, x2^2*x3*x4*x1*x4*x2, x1*x2*x4*x1*x2*x4,
x2^2, x1*x2^2*x4*x1*x4 ]
[ x3*x4^3, x1, x1*x2^2*x3*x4*x1*x4*x2, x1*x2*x4*x1*x2*x4, x2^2,
x1*x2^2*x4*x1*x4 ]
[ x1*x4*x1*x4^2, x3, x1, x1*x2*x4*x1*x2*x4, x2^2, x1*x2^2*x4*x1*x4 ]
[ x2^3*x3*x4*x1, x2^2*x4*x1*x4*x2, x1*x2^2*x3*x4*x1*x4*x2, x1*x2*x4*x1*x2*x4,
x2^2, x1*x2^2*x4*x1*x4 ]
[ x1*x4*x1*x4^2, x3, x2^2*x3*x4*x1*x4*x2, x1*x2*x4*x1*x2*x4, x2^2,
x1*x2^2*x4*x1*x4 ]
[ x2^3*x3*x4, x1*x2^2*x4*x1*x4*x2, x1, x1*x2^2*x3*x4*x1*x4*x2,
x1*x2*x4*x1*x2*x4, x2^2 ]
[ x4^3, x1*x2*x1*x2^2*x3, x2*x1*x2^3, x1*x2*x1*x2, x1*x2*x1*x2^3, x4^2 ]
[ x4^3, x1*x2*x1*x2^2*x3, x2, x1*x2*x1*x2, x1*x2*x1*x2^3, x4^2 ]
[ x4^3, x1*x2*x1*x2^2*x3, x2*x1, x1*x2*x1*x2, x1*x2*x1*x2^3, x4^2 ]
[ x4^3, x2*x1*x2^3, x2, x1*x2*x1*x2, x1*x2*x1*x2^3, x4^2 ]
[ x4^3, x1*x2*x1*x2*x3, x2*x1*x2^3, x1*x2*x1*x2, x1*x2*x1*x2^3, x4^2 ]
[ x4^3, x1*x2^3*x3, x2, x1*x2*x1*x2, x1*x2*x1*x2^3, x4^2 ]
[ x4^3, x1*x2*x1*x2*x3, x2*x1, x1*x2*x1*x2, x1*x2*x1*x2^3, x4^2 ]
[ x1*x2*x1*x2^2*x3, x2*x1*x2^3, x2, x1*x2*x1*x2, x1*x2*x1*x2^3, x4^2 ]
[ x2*x4^3, x1*x2*x1*x2^2*x3, x2*x1*x2^3, x1*x2*x1*x2, x1*x2*x1*x2^3, x4^2 ]
[ x1*x2^2*x4^3, x1*x2*x1*x2^2*x3, x2, x1*x2*x1*x2, x1*x2*x1*x2^3, x4^2 ]
[ x2*x4^3, x1*x2*x1*x2^2*x3, x2*x1, x1*x2*x1*x2, x1*x2*x1*x2^3, x4^2 ]
[ x1*x2*x1*x2^2*x3*x4^3, x2*x1*x2^3, x2, x1*x2*x1*x2, x1*x2*x1*x2^3, x4^2 ]
[ x2*x4^3, x1*x2*x1*x2*x3, x2*x1*x2^3, x1*x2*x1*x2, x1*x2*x1*x2^3, x4^2 ]
[ x1*x2^2*x4^3, x1*x2^3*x3, x2, x1*x2*x1*x2, x1*x2*x1*x2^3, x4^2 ]
[ x2*x4^3, x1*x2*x1*x2*x3, x2*x1, x1*x2*x1*x2, x1*x2*x1*x2^3, x4^2 ]
[ x4^3, x1*x2*x1*x2^2*x3, x2*x1*x2^3, x2, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x4^3, x2*x3, x1, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2, x4^2 ]
[ x4^3, x2*x3, x2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2, x4^2 ]
[ x4^3, x2*x3, x1*x2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2, x4^2 ]
[ x4^3, x1, x2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2, x4^2 ]
[ x4^3, x3, x1, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2, x4^2 ]
[ x4^3, x2*x3*x1, x2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2, x4^2 ]
[ x4^3, x3, x1*x2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2, x4^2 ]
[ x2*x3, x1, x2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2, x4^2 ]
[ x2*x4^3, x2*x3, x1, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2, x4^2 ]
[ x1*x4^3, x2*x3, x2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2, x4^2 ]
[ x2*x4^3, x2*x3, x1*x2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2, x4^2 ]
[ x1*x2*x3*x1*x4^3, x1, x2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2, x4^2 ]
[ x2*x4^3, x3, x1, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2, x4^2 ]
[ x1*x4^3, x2*x3*x1, x2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2, x4^2 ]
[ x2*x4^3, x3, x1*x2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2, x4^2 ]
[ x4^3, x2*x3, x1, x2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x4*x2*x4*x2*x4, x2*x3, x1, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2,
x1*x2*x1*x4*x2*x4 ]
[ x1*x2*x1*x2*x4*x2*x4*x2*x4, x2*x3, x2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2,
x1*x2*x1*x4*x2*x4 ]
[ x1*x2*x1*x2*x4*x2*x4*x2*x4, x2*x3, x1*x2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2,
x1*x2*x1*x4*x2*x4 ]
[ x1*x2*x1*x2*x4*x2*x4*x2*x4, x1, x2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2,
x1*x2*x1*x4*x2*x4 ]
[ x1*x2*x1*x2*x4*x2*x4*x2*x4, x3, x1, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2,
x1*x2*x1*x4*x2*x4 ]
[ x1*x2*x1*x2*x4*x2*x4*x2*x4, x2*x3*x1, x2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2,
x1*x2*x1*x4*x2*x4 ]
[ x1*x2*x1*x2*x4*x2*x4*x2*x4, x3, x1*x2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2,
x1*x2*x1*x4*x2*x4 ]
[ x2*x3, x1, x2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2, x1*x2*x1*x4*x2*x4 ]
[ x2*x4*x2*x4*x2*x4, x2*x3, x1, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2,
x1*x2*x1*x4*x2*x4 ]
[ x3*x1*x3*x4*x2*x4*x2*x4, x2*x3, x2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2,
x1*x2*x1*x4*x2*x4 ]
[ x2*x4*x2*x4*x2*x4, x2*x3, x1*x2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2,
x1*x2*x1*x4*x2*x4 ]
[ x1*x2*x1*x3*x4*x2*x4*x2*x4, x1, x2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2,
x1*x2*x1*x4*x2*x4 ]
[ x2*x4*x2*x4*x2*x4, x3, x1, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2,
x1*x2*x1*x4*x2*x4 ]
[ x3*x1*x3*x4*x2*x4*x2*x4, x2*x3*x1, x2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2,
x1*x2*x1*x4*x2*x4 ]
[ x2*x4*x2*x4*x2*x4, x3, x1*x2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2,
x1*x2*x1*x4*x2*x4 ]
[ x1*x2*x1*x2*x4*x2*x4*x2*x4, x2*x3, x1, x2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2 ]
[ x4, x1, x2*x4*x2*x4*x2, x3*x4*x3*x4, x1^2, x2*x4*x2*x4 ]
[ x4, x1, x1*x4*x3*x4, x3*x4*x3*x4, x1^2, x2*x4*x2*x4 ]
[ x4, x1, x1*x2*x4*x2*x3*x4*x2, x3*x4*x3*x4, x1^2, x2*x4*x2*x4 ]
[ x4, x2*x4*x2*x4*x2, x1*x4*x3*x4, x3*x4*x3*x4, x1^2, x2*x4*x2*x4 ]
[ x4, x1^2*x4*x3*x4, x2*x4*x2*x4*x2, x3*x4*x3*x4, x1^2, x2*x4*x2*x4 ]
[ x4, x1*x2*x4*x2*x4*x2, x1*x4*x3*x4, x3*x4*x3*x4, x1^2, x2*x4*x2*x4 ]
[ x4, x1^2*x4*x3*x4, x1*x2*x4*x2*x3*x4*x2, x3*x4*x3*x4, x1^2, x2*x4*x2*x4 ]
[ x1, x2*x4*x2*x4*x2, x1*x4*x3*x4, x3*x4*x3*x4, x1^2, x2*x4*x2*x4 ]
[ x1^3*x3*x4, x1, x2*x4*x2*x4*x2, x3*x4*x3*x4, x1^2, x2*x4*x2*x4 ]
[ x2*x4*x2*x4*x2*x4, x1, x1*x4*x3*x4, x3*x4*x3*x4, x1^2, x2*x4*x2*x4 ]
[ x1^3*x3*x4, x1, x1*x2*x4*x2*x3*x4*x2, x3*x4*x3*x4, x1^2, x2*x4*x2*x4 ]
[ x1^3*x4, x2*x4*x2*x4*x2, x1*x4*x3*x4, x3*x4*x3*x4, x1^2, x2*x4*x2*x4 ]
[ x1^3*x3*x4, x1^2*x4*x3*x4, x2*x4*x2*x4*x2, x3*x4*x3*x4, x1^2, x2*x4*x2*x4 ]
[ x2*x4*x2*x4*x2*x4, x1*x2*x4*x2*x4*x2, x1*x4*x3*x4, x3*x4*x3*x4, x1^2,
x2*x4*x2*x4 ]
[ x1^3*x3*x4, x1^2*x4*x3*x4, x1*x2*x4*x2*x3*x4*x2, x3*x4*x3*x4, x1^2,
x2*x4*x2*x4 ]
[ x4, x1, x2*x4*x2*x4*x2, x1*x4*x3*x4, x3*x4*x3*x4, x1^2 ]
[ x1*x4*x3, x1, x2*x4*x2*x4*x2, x3*x4*x3*x4, x1^2, x2*x4*x2*x4 ]
[ x1*x4*x3, x1, x1^3*x3, x3*x4*x3*x4, x1^2, x2*x4*x2*x4 ]
[ x1*x4*x3, x1, x1*x2*x3*x4*x2*x4*x2, x3*x4*x3*x4, x1^2, x2*x4*x2*x4 ]
[ x1*x4*x3, x2*x4*x2*x4*x2, x1^3*x3, x3*x4*x3*x4, x1^2, x2*x4*x2*x4 ]
[ x1*x4*x3, x3, x2*x4*x2*x4*x2, x3*x4*x3*x4, x1^2, x2*x4*x2*x4 ]
[ x1*x4*x3, x1*x2*x4*x2*x4*x2, x1^3*x3, x3*x4*x3*x4, x1^2, x2*x4*x2*x4 ]
[ x1*x4*x3, x3, x1*x2*x3*x4*x2*x4*x2, x3*x4*x3*x4, x1^2, x2*x4*x2*x4 ]
[ x1, x2*x4*x2*x4*x2, x1^3*x3, x3*x4*x3*x4, x1^2, x2*x4*x2*x4 ]
[ x4, x1, x2*x4*x2*x4*x2, x3*x4*x3*x4, x1^2, x2*x4*x2*x4 ]
[ x1*x2*x4*x2*x3*x4*x2*x4, x1, x1^3*x3, x3*x4*x3*x4, x1^2, x2*x4*x2*x4 ]
[ x4, x1, x1*x2*x3*x4*x2*x4*x2, x3*x4*x3*x4, x1^2, x2*x4*x2*x4 ]
[ x4*x3, x2*x4*x2*x4*x2, x1^3*x3, x3*x4*x3*x4, x1^2, x2*x4*x2*x4 ]
[ x4, x3, x2*x4*x2*x4*x2, x3*x4*x3*x4, x1^2, x2*x4*x2*x4 ]
[ x1*x2*x4*x2*x3*x4*x2*x4, x1*x2*x4*x2*x4*x2, x1^3*x3, x3*x4*x3*x4, x1^2,
x2*x4*x2*x4 ]
[ x4, x3, x1*x2*x3*x4*x2*x4*x2, x3*x4*x3*x4, x1^2, x2*x4*x2*x4 ]
[ x1*x4*x3, x1, x2*x4*x2*x4*x2, x1^3*x3, x3*x4*x3*x4, x1^2 ]
[ x4^3, x1, x2, x2*x3*x4*x2*x3*x4, x1^2, x4^2 ]
[ x4^3, x1, x1^3*x2*x4*x2*x3*x4, x2*x3*x4*x2*x3*x4, x1^2, x4^2 ]
[ x4^3, x1, x1*x4*x2*x3*x4, x2*x3*x4*x2*x3*x4, x1^2, x4^2 ]
[ x4^3, x2, x1^3*x2*x4*x2*x3*x4, x2*x3*x4*x2*x3*x4, x1^2, x4^2 ]
[ x4^3, x2*x4*x2*x3*x4, x2, x2*x3*x4*x2*x3*x4, x1^2, x4^2 ]
[ x4^3, x1*x2, x1^3*x2*x4*x2*x3*x4, x2*x3*x4*x2*x3*x4, x1^2, x4^2 ]
[ x4^3, x2*x4*x2*x3*x4, x1*x4*x2*x3*x4, x2*x3*x4*x2*x3*x4, x1^2, x4^2 ]
[ x1, x2, x1^3*x2*x4*x2*x3*x4, x2*x3*x4*x2*x3*x4, x1^2, x4^2 ]
[ x1^3*x3*x4^3, x1, x2, x2*x3*x4*x2*x3*x4, x1^2, x4^2 ]
[ x2*x4^3, x1, x1^3*x2*x4*x2*x3*x4, x2*x3*x4*x2*x3*x4, x1^2, x4^2 ]
[ x1^3*x3*x4^3, x1, x1*x4*x2*x3*x4, x2*x3*x4*x2*x3*x4, x1^2, x4^2 ]
[ x1*x4^3, x2, x1^3*x2*x4*x2*x3*x4, x2*x3*x4*x2*x3*x4, x1^2, x4^2 ]
[ x1^3*x3*x4^3, x2*x4*x2*x3*x4, x2, x2*x3*x4*x2*x3*x4, x1^2, x4^2 ]
[ x2*x4^3, x1*x2, x1^3*x2*x4*x2*x3*x4, x2*x3*x4*x2*x3*x4, x1^2, x4^2 ]
[ x1^3*x3*x4^3, x2*x4*x2*x3*x4, x1*x4*x2*x3*x4, x2*x3*x4*x2*x3*x4, x1^2, x4^2
]
[ x4^3, x1, x2, x1^3*x2*x4*x2*x3*x4, x2*x3*x4*x2*x3*x4, x1^2 ]
[ x1^2*x3*x4*x1*x4*x1*x4, x1^3*x2*x1*x3, x1, x1^2, x1*x2*x1*x2,
x2*x1*x2*x4*x1*x4 ]
[ x1^2*x3*x4*x1*x4*x1*x4, x1^3*x2*x1*x3, x2*x1, x1^2, x1*x2*x1*x2,
x2*x1*x2*x4*x1*x4 ]
[ x1^2*x3*x4*x1*x4*x1*x4, x1^3*x2*x1*x3, x1*x2*x1, x1^2, x1*x2*x1*x2,
x2*x1*x2*x4*x1*x4 ]
[ x1^2*x3*x4*x1*x4*x1*x4, x1, x2*x1, x1^2, x1*x2*x1*x2, x2*x1*x2*x4*x1*x4 ]
[ x1^2*x3*x4*x1*x4*x1*x4, x1^3*x3, x1, x1^2, x1*x2*x1*x2, x2*x1*x2*x4*x1*x4 ]
[ x1^2*x3*x4*x1*x4*x1*x4, x1^2*x2*x1*x3, x2*x1, x1^2, x1*x2*x1*x2,
x2*x1*x2*x4*x1*x4 ]
[ x1^2*x3*x4*x1*x4*x1*x4, x1^3*x3, x1*x2*x1, x1^2, x1*x2*x1*x2,
x2*x1*x2*x4*x1*x4 ]
[ x1^3*x2*x1*x3, x1, x2*x1, x1^2, x1*x2*x1*x2, x2*x1*x2*x4*x1*x4 ]
[ x1^2*x2*x1*x3*x4*x1*x4*x1*x4, x1^3*x2*x1*x3, x1, x1^2, x1*x2*x1*x2,
x2*x1*x2*x4*x1*x4 ]
[ x1*x3*x4*x1*x4*x1*x4, x1^3*x2*x1*x3, x2*x1, x1^2, x1*x2*x1*x2,
x2*x1*x2*x4*x1*x4 ]
[ x1^2*x2*x1*x3*x4*x1*x4*x1*x4, x1^3*x2*x1*x3, x1*x2*x1, x1^2, x1*x2*x1*x2,
x2*x1*x2*x4*x1*x4 ]
[ x1^3*x2*x1*x4*x1*x4*x1*x4, x1, x2*x1, x1^2, x1*x2*x1*x2, x2*x1*x2*x4*x1*x4 ]
[ x1^2*x2*x1*x3*x4*x1*x4*x1*x4, x1^3*x3, x1, x1^2, x1*x2*x1*x2,
x2*x1*x2*x4*x1*x4 ]
[ x1*x3*x4*x1*x4*x1*x4, x1^2*x2*x1*x3, x2*x1, x1^2, x1*x2*x1*x2,
x2*x1*x2*x4*x1*x4 ]
[ x1^2*x2*x1*x3*x4*x1*x4*x1*x4, x1^3*x3, x1*x2*x1, x1^2, x1*x2*x1*x2,
x2*x1*x2*x4*x1*x4 ]
[ x1^2*x3*x4*x1*x4*x1*x4, x1^3*x2*x1*x3, x1, x2*x1, x1^2, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x3*x4*x2*x4*x2*x4, x1*x2*x1*x2^2*x3, x2*x1*x2^3, x1*x2*x1*x2,
x1*x2*x1*x2^3, x2*x4*x2*x4 ]
[ x1*x2*x1*x2*x3*x4*x2*x4*x2*x4, x1*x2*x1*x2^2*x3, x2, x1*x2*x1*x2,
x1*x2*x1*x2^3, x2*x4*x2*x4 ]
[ x1*x2*x1*x2*x3*x4*x2*x4*x2*x4, x1*x2*x1*x2^2*x3, x2*x1, x1*x2*x1*x2,
x1*x2*x1*x2^3, x2*x4*x2*x4 ]
[ x1*x2*x1*x2*x3*x4*x2*x4*x2*x4, x2*x1*x2^3, x2, x1*x2*x1*x2, x1*x2*x1*x2^3,
x2*x4*x2*x4 ]
[ x1*x2*x1*x2*x3*x4*x2*x4*x2*x4, x1*x2*x1*x2*x3, x2*x1*x2^3, x1*x2*x1*x2,
x1*x2*x1*x2^3, x2*x4*x2*x4 ]
[ x1*x2*x1*x2*x3*x4*x2*x4*x2*x4, x1*x2^3*x3, x2, x1*x2*x1*x2, x1*x2*x1*x2^3,
x2*x4*x2*x4 ]
[ x1*x2*x1*x2*x3*x4*x2*x4*x2*x4, x1*x2*x1*x2*x3, x2*x1, x1*x2*x1*x2,
x1*x2*x1*x2^3, x2*x4*x2*x4 ]
[ x1*x2*x1*x2^2*x3, x2*x1*x2^3, x2, x1*x2*x1*x2, x1*x2*x1*x2^3, x2*x4*x2*x4 ]
[ x1*x2*x1*x2^2*x3*x4*x2*x4*x2*x4, x1*x2*x1*x2^2*x3, x2*x1*x2^3, x1*x2*x1*x2,
x1*x2*x1*x2^3, x2*x4*x2*x4 ]
[ x2*x1*x2^3*x3*x4*x2*x4*x2*x4, x1*x2*x1*x2^2*x3, x2, x1*x2*x1*x2,
x1*x2*x1*x2^3, x2*x4*x2*x4 ]
[ x1*x2*x1*x2^2*x3*x4*x2*x4*x2*x4, x1*x2*x1*x2^2*x3, x2*x1, x1*x2*x1*x2,
x1*x2*x1*x2^3, x2*x4*x2*x4 ]
[ x2*x4*x2*x4*x2*x4, x2*x1*x2^3, x2, x1*x2*x1*x2, x1*x2*x1*x2^3, x2*x4*x2*x4 ]
[ x1*x2*x1*x2^2*x3*x4*x2*x4*x2*x4, x1*x2*x1*x2*x3, x2*x1*x2^3, x1*x2*x1*x2,
x1*x2*x1*x2^3, x2*x4*x2*x4 ]
[ x2*x1*x2^3*x3*x4*x2*x4*x2*x4, x1*x2^3*x3, x2, x1*x2*x1*x2, x1*x2*x1*x2^3,
x2*x4*x2*x4 ]
[ x1*x2*x1*x2^2*x3*x4*x2*x4*x2*x4, x1*x2*x1*x2*x3, x2*x1, x1*x2*x1*x2,
x1*x2*x1*x2^3, x2*x4*x2*x4 ]
[ x1*x2*x1*x2*x3*x4*x2*x4*x2*x4, x1*x2*x1*x2^2*x3, x2*x1*x2^3, x2,
x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x4^3, x1*x2*x3*x1*x2, x1, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x4^3, x1*x2*x3*x1*x2, x1*x2, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x4^3, x1*x2*x3*x1*x2, x2, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x4^3, x1, x1*x2, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x4^3, x1*x2*x3, x1, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x4^3, x1*x2*x3*x2, x1*x2, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x4^3, x1*x2*x3, x2, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x3*x1*x2, x1, x1*x2, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4^3, x1*x2*x3*x1*x2, x1, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x3*x1*x3*x4^3, x1*x2*x3*x1*x2, x1*x2, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4^3, x1*x2*x3*x1*x2, x2, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x3*x1*x2*x4^3, x1, x1*x2, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4^3, x1*x2*x3, x1, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x3*x1*x3*x4^3, x1*x2*x3*x2, x1*x2, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x4^3, x1*x2*x3, x2, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x4^3, x1*x2*x3*x1*x2, x1, x1*x2, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x4^3, x1*x2*x3*x1*x2, x1, x1*x3*x1*x3, x1*x2*x3*x1*x2*x3, x4^2 ]
[ x4^3, x1*x2*x3*x1*x2, x1*x4^2*x2, x1*x3*x1*x3, x1*x2*x3*x1*x2*x3, x4^2 ]
[ x4^3, x1*x2*x3*x1*x2, x4^2*x2, x1*x3*x1*x3, x1*x2*x3*x1*x2*x3, x4^2 ]
[ x4^3, x1, x1*x4^2*x2, x1*x3*x1*x3, x1*x2*x3*x1*x2*x3, x4^2 ]
[ x4^3, x1*x2*x3*x2*x4^2*x2, x1, x1*x3*x1*x3, x1*x2*x3*x1*x2*x3, x4^2 ]
[ x4^3, x1*x2*x3*x2, x1*x4^2*x2, x1*x3*x1*x3, x1*x2*x3*x1*x2*x3, x4^2 ]
[ x4^3, x1*x2*x3*x2*x4^2*x2, x4^2*x2, x1*x3*x1*x3, x1*x2*x3*x1*x2*x3, x4^2 ]
[ x1*x2*x3*x1*x2, x1, x1*x4^2*x2, x1*x3*x1*x3, x1*x2*x3*x1*x2*x3, x4^2 ]
[ x1*x2*x4, x1*x2*x3*x1*x2, x1, x1*x3*x1*x3, x1*x2*x3*x1*x2*x3, x4^2 ]
[ x3*x1*x3*x4^3, x1*x2*x3*x1*x2, x1*x4^2*x2, x1*x3*x1*x3, x1*x2*x3*x1*x2*x3,
x4^2 ]
[ x1*x2*x4, x1*x2*x3*x1*x2, x4^2*x2, x1*x3*x1*x3, x1*x2*x3*x1*x2*x3, x4^2 ]
[ x1*x2*x3*x1*x2*x4^3, x1, x1*x4^2*x2, x1*x3*x1*x3, x1*x2*x3*x1*x2*x3, x4^2 ]
[ x1*x2*x4, x1*x2*x3*x2*x4^2*x2, x1, x1*x3*x1*x3, x1*x2*x3*x1*x2*x3, x4^2 ]
[ x3*x1*x3*x4^3, x1*x2*x3*x2, x1*x4^2*x2, x1*x3*x1*x3, x1*x2*x3*x1*x2*x3,
x4^2 ]
[ x1*x2*x4, x1*x2*x3*x2*x4^2*x2, x4^2*x2, x1*x3*x1*x3, x1*x2*x3*x1*x2*x3,
x4^2 ]
[ x4^3, x1*x2*x3*x1*x2, x1, x1*x4^2*x2, x1*x3*x1*x3, x1*x2*x3*x1*x2*x3 ]
[ x3*x1*x2*x3*x4^3, x1*x3*x1, x1, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x3*x1*x2*x3*x4^3, x1*x3*x1, x2, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x3*x1*x2*x3*x4^3, x1*x3*x1, x1*x2, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x3*x1*x2*x3*x4^3, x1, x2, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x3*x1*x2*x3*x4^3, x1*x3*x1*x2, x1, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x3*x1*x2*x3*x4^3, x1*x3, x2, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x3*x1*x2*x3*x4^3, x1*x3*x1*x2, x1*x2, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x1*x3*x1, x1, x2, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x1*x4^3, x1*x3*x1, x1, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x1*x3*x1*x2*x3*x4^3, x1*x3*x1, x2, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x1*x4^3, x1*x3*x1, x1*x2, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x1*x3*x2*x4^3, x1, x2, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x1*x4^3, x1*x3*x1*x2, x1, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x1*x3*x1*x2*x3*x4^3, x1*x3, x2, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x1*x4^3, x1*x3*x1*x2, x1*x2, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x3*x1*x2*x3*x4^3, x1*x3*x1, x1, x2, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x2*x4^3, x2^2*x3, x4^2*x1, x2^2, x1*x2*x1*x2^3, x4^2 ]
[ x2*x4^3, x2^2*x3, x2, x2^2, x1*x2*x1*x2^3, x4^2 ]
[ x2*x4^3, x2^2*x3, x1*x2*x1*x4^2*x1, x2^2, x1*x2*x1*x2^3, x4^2 ]
[ x2*x4^3, x4^2*x1, x2, x2^2, x1*x2*x1*x2^3, x4^2 ]
[ x2*x4^3, x1*x2*x1*x3, x4^2*x1, x2^2, x1*x2*x1*x2^3, x4^2 ]
[ x2*x4^3, x2^2*x3*x4^2*x1, x2, x2^2, x1*x2*x1*x2^3, x4^2 ]
[ x2*x4^3, x1*x2*x1*x3, x1*x2*x1*x4^2*x1, x2^2, x1*x2*x1*x2^3, x4^2 ]
[ x2^2*x3, x4^2*x1, x2, x2^2, x1*x2*x1*x2^3, x4^2 ]
[ x2^2*x4^3, x2^2*x3, x4^2*x1, x2^2, x1*x2*x1*x2^3, x4^2 ]
[ x1*x2*x4, x2^2*x3, x2, x2^2, x1*x2*x1*x2^3, x4^2 ]
[ x2^2*x4^3, x2^2*x3, x1*x2*x1*x4^2*x1, x2^2, x1*x2*x1*x2^3, x4^2 ]
[ x1*x2*x1*x2^2*x3*x4^3, x4^2*x1, x2, x2^2, x1*x2*x1*x2^3, x4^2 ]
[ x2^2*x4^3, x1*x2*x1*x3, x4^2*x1, x2^2, x1*x2*x1*x2^3, x4^2 ]
[ x1*x2*x4, x2^2*x3*x4^2*x1, x2, x2^2, x1*x2*x1*x2^3, x4^2 ]
[ x2^2*x4^3, x1*x2*x1*x3, x1*x2*x1*x4^2*x1, x2^2, x1*x2*x1*x2^3, x4^2 ]
[ x2*x4^3, x2^2*x3, x4^2*x1, x2, x2^2, x1*x2*x1*x2^3 ]
[ x1*x2^2*x4^3, x2^2*x3, x1, x2^2, x1*x2*x1*x2^3, x2^2*x4^2 ]
[ x1*x2^2*x4^3, x2^2*x3, x2, x2^2, x1*x2*x1*x2^3, x2^2*x4^2 ]
[ x1*x2^2*x4^3, x2^2*x3, x1*x2, x2^2, x1*x2*x1*x2^3, x2^2*x4^2 ]
[ x1*x2^2*x4^3, x1, x2, x2^2, x1*x2*x1*x2^3, x2^2*x4^2 ]
[ x1*x2^2*x4^3, x1*x2*x1*x3, x1, x2^2, x1*x2*x1*x2^3, x2^2*x4^2 ]
[ x1*x2^2*x4^3, x1*x2^2*x3, x2, x2^2, x1*x2*x1*x2^3, x2^2*x4^2 ]
[ x1*x2^2*x4^3, x1*x2*x1*x3, x1*x2, x2^2, x1*x2*x1*x2^3, x2^2*x4^2 ]
[ x2^2*x3, x1, x2, x2^2, x1*x2*x1*x2^3, x2^2*x4^2 ]
[ x1*x2^3*x4^3, x2^2*x3, x1, x2^2, x1*x2*x1*x2^3, x2^2*x4^2 ]
[ x2^2*x4^3, x2^2*x3, x2, x2^2, x1*x2*x1*x2^3, x2^2*x4^2 ]
[ x1*x2^3*x4^3, x2^2*x3, x1*x2, x2^2, x1*x2*x1*x2^3, x2^2*x4^2 ]
[ x1*x2^2*x3*x4^3, x1, x2, x2^2, x1*x2*x1*x2^3, x2^2*x4^2 ]
[ x1*x2^3*x4^3, x1*x2*x1*x3, x1, x2^2, x1*x2*x1*x2^3, x2^2*x4^2 ]
[ x2^2*x4^3, x1*x2^2*x3, x2, x2^2, x1*x2*x1*x2^3, x2^2*x4^2 ]
[ x1*x2^3*x4^3, x1*x2*x1*x3, x1*x2, x2^2, x1*x2*x1*x2^3, x2^2*x4^2 ]
[ x1*x2^2*x4^3, x2^2*x3, x1, x2, x2^2, x1*x2*x1*x2^3 ]
[ x2*x4^3, x2^2*x3, x1, x2^2, x1*x2*x1*x2^3, x4^2 ]
[ x2*x4^3, x2^2*x3, x2, x2^2, x1*x2*x1*x2^3, x4^2 ]
[ x2*x4^3, x2^2*x3, x1*x2, x2^2, x1*x2*x1*x2^3, x4^2 ]
[ x2*x4^3, x1, x2, x2^2, x1*x2*x1*x2^3, x4^2 ]
[ x2*x4^3, x1*x2*x1*x3, x1, x2^2, x1*x2*x1*x2^3, x4^2 ]
[ x2*x4^3, x1*x2^2*x3, x2, x2^2, x1*x2*x1*x2^3, x4^2 ]
[ x2*x4^3, x1*x2*x1*x3, x1*x2, x2^2, x1*x2*x1*x2^3, x4^2 ]
[ x2^2*x3, x1, x2, x2^2, x1*x2*x1*x2^3, x4^2 ]
[ x2^2*x4^3, x2^2*x3, x1, x2^2, x1*x2*x1*x2^3, x4^2 ]
[ x1*x2*x4^3, x2^2*x3, x2, x2^2, x1*x2*x1*x2^3, x4^2 ]
[ x2^2*x4^3, x2^2*x3, x1*x2, x2^2, x1*x2*x1*x2^3, x4^2 ]
[ x1*x2*x1*x2^2*x3*x4^3, x1, x2, x2^2, x1*x2*x1*x2^3, x4^2 ]
[ x2^2*x4^3, x1*x2*x1*x3, x1, x2^2, x1*x2*x1*x2^3, x4^2 ]
[ x1*x2*x4^3, x1*x2^2*x3, x2, x2^2, x1*x2*x1*x2^3, x4^2 ]
[ x2^2*x4^3, x1*x2*x1*x3, x1*x2, x2^2, x1*x2*x1*x2^3, x4^2 ]
[ x2*x4^3, x2^2*x3, x1, x2, x2^2, x1*x2*x1*x2^3 ]
[ x4^3, x3, x4^2*x1, x2*x3*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3, x2, x2*x3*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3, x2*x4^2*x1, x2*x3*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x4^3, x4^2*x1, x2, x2*x3*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3*x2, x4^2*x1, x2*x3*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3*x4^2*x1, x2, x2*x3*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3*x2, x2*x4^2*x1, x2*x3*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x3, x4^2*x1, x2, x2*x3*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x3*x1*x3*x4^3, x3, x4^2*x1, x2*x3*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x1*x4, x3, x2, x2*x3*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x3*x1*x3*x4^3, x3, x2*x4^2*x1, x2*x3*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x2*x3*x2*x4^3, x4^2*x1, x2, x2*x3*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x3*x1*x3*x4^3, x3*x2, x4^2*x1, x2*x3*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x1*x4, x3*x4^2*x1, x2, x2*x3*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x1*x2*x3*x1*x3*x4^3, x3*x2, x2*x4^2*x1, x2*x3*x2*x3, x1*x3*x1*x3, x4^2 ]
[ x4^3, x3, x4^2*x1, x2, x2*x3*x2*x3, x1*x3*x1*x3 ]
[ x1*x2*x3*x1*x2*x3*x4^3, x1*x3*x1*x4^2*x1, x1*x2*x3*x1*x2*x3*x4^2*x1,
x1*x2*x3*x1*x2*x3, x3^2, x1*x2*x3*x1*x2*x3*x4^2 ]
[ x1*x2*x3*x1*x2*x3*x4^3, x1*x3*x1*x4^2*x1, x3*x1*x2*x3*x4^2*x1,
x1*x2*x3*x1*x2*x3, x3^2, x1*x2*x3*x1*x2*x3*x4^2 ]
[ x1*x2*x3*x1*x2*x3*x4^3, x1*x3*x1*x4^2*x1, x1*x2, x1*x2*x3*x1*x2*x3, x3^2,
x1*x2*x3*x1*x2*x3*x4^2 ]
[ x1*x2*x3*x1*x2*x3*x4^3, x1*x2*x3*x1*x2*x3*x4^2*x1, x3*x1*x2*x3*x4^2*x1,
x1*x2*x3*x1*x2*x3, x3^2, x1*x2*x3*x1*x2*x3*x4^2 ]
[ x1*x2*x3*x1*x2*x3*x4^3, x3*x1*x2, x1*x2*x3*x1*x2*x3*x4^2*x1,
x1*x2*x3*x1*x2*x3, x3^2, x1*x2*x3*x1*x2*x3*x4^2 ]
[ x1*x2*x3*x1*x2*x3*x4^3, x3, x3*x1*x2*x3*x4^2*x1, x1*x2*x3*x1*x2*x3, x3^2,
x1*x2*x3*x1*x2*x3*x4^2 ]
[ x1*x2*x3*x1*x2*x3*x4^3, x3*x1*x2, x1*x2, x1*x2*x3*x1*x2*x3, x3^2,
x1*x2*x3*x1*x2*x3*x4^2 ]
[ x1*x3*x1*x4^2*x1, x1*x2*x3*x1*x2*x3*x4^2*x1, x3*x1*x2*x3*x4^2*x1,
x1*x2*x3*x1*x2*x3, x3^2, x1*x2*x3*x1*x2*x3*x4^2 ]
[ x1*x3*x1*x2*x3*x4, x1*x3*x1*x4^2*x1, x1*x2*x3*x1*x2*x3*x4^2*x1,
x1*x2*x3*x1*x2*x3, x3^2, x1*x2*x3*x1*x2*x3*x4^2 ]
[ x2*x3*x1*x2*x3*x4, x1*x3*x1*x4^2*x1, x3*x1*x2*x3*x4^2*x1, x1*x2*x3*x1*x2*x3,
x3^2, x1*x2*x3*x1*x2*x3*x4^2 ]
[ x1*x3*x1*x2*x3*x4, x1*x3*x1*x4^2*x1, x1*x2, x1*x2*x3*x1*x2*x3, x3^2,
x1*x2*x3*x1*x2*x3*x4^2 ]
[ x2*x3*x1*x2*x4, x1*x2*x3*x1*x2*x3*x4^2*x1, x3*x1*x2*x3*x4^2*x1,
x1*x2*x3*x1*x2*x3, x3^2, x1*x2*x3*x1*x2*x3*x4^2 ]
[ x1*x3*x1*x2*x3*x4, x3*x1*x2, x1*x2*x3*x1*x2*x3*x4^2*x1, x1*x2*x3*x1*x2*x3,
x3^2, x1*x2*x3*x1*x2*x3*x4^2 ]
[ x2*x3*x1*x2*x3*x4, x3, x3*x1*x2*x3*x4^2*x1, x1*x2*x3*x1*x2*x3, x3^2,
x1*x2*x3*x1*x2*x3*x4^2 ]
[ x1*x3*x1*x2*x3*x4, x3*x1*x2, x1*x2, x1*x2*x3*x1*x2*x3, x3^2,
x1*x2*x3*x1*x2*x3*x4^2 ]
[ x1*x2*x3*x1*x2*x3*x4^3, x1*x3*x1*x4^2*x1, x1*x2*x3*x1*x2*x3*x4^2*x1,
x3*x1*x2*x3*x4^2*x1, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x4^3, x3*x4^2*x1, x4^2*x1, x1*x3*x1*x3, x3^2, x4^2 ]
[ x4^3, x3*x4^2*x1, x2*x4^2*x1, x1*x3*x1*x3, x3^2, x4^2 ]
[ x4^3, x3*x4^2*x1, x2, x1*x3*x1*x3, x3^2, x4^2 ]
[ x4^3, x4^2*x1, x2*x4^2*x1, x1*x3*x1*x3, x3^2, x4^2 ]
[ x4^3, x3*x2, x4^2*x1, x1*x3*x1*x3, x3^2, x4^2 ]
[ x4^3, x3, x2*x4^2*x1, x1*x3*x1*x3, x3^2, x4^2 ]
[ x4^3, x3*x2, x2, x1*x3*x1*x3, x3^2, x4^2 ]
[ x3*x4^2*x1, x4^2*x1, x2*x4^2*x1, x1*x3*x1*x3, x3^2, x4^2 ]
[ x2*x3*x1*x3*x4, x3*x4^2*x1, x4^2*x1, x1*x3*x1*x3, x3^2, x4^2 ]
[ x1*x4, x3*x4^2*x1, x2*x4^2*x1, x1*x3*x1*x3, x3^2, x4^2 ]
[ x2*x3*x1*x3*x4, x3*x4^2*x1, x2, x1*x3*x1*x3, x3^2, x4^2 ]
[ x2*x3*x1*x2*x4, x4^2*x1, x2*x4^2*x1, x1*x3*x1*x3, x3^2, x4^2 ]
[ x2*x3*x1*x3*x4, x3*x2, x4^2*x1, x1*x3*x1*x3, x3^2, x4^2 ]
[ x1*x4, x3, x2*x4^2*x1, x1*x3*x1*x3, x3^2, x4^2 ]
[ x2*x3*x1*x3*x4, x3*x2, x2, x1*x3*x1*x3, x3^2, x4^2 ]
[ x4^3, x3*x4^2*x1, x4^2*x1, x2*x4^2*x1, x1*x3*x1*x3, x3^2 ]
[ x1*x2*x1*x2*x3*x1*x4^3, x2*x3*x1, x1, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2,
x2*x1*x2*x3*x1*x3*x4^2 ]
[ x1*x2*x1*x2*x3*x1*x4^3, x2*x3*x1, x2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2,
x2*x1*x2*x3*x1*x3*x4^2 ]
[ x1*x2*x1*x2*x3*x1*x4^3, x2*x3*x1, x1*x2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2,
x2*x1*x2*x3*x1*x3*x4^2 ]
[ x1*x2*x1*x2*x3*x1*x4^3, x1, x2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2,
x2*x1*x2*x3*x1*x3*x4^2 ]
[ x1*x2*x1*x2*x3*x1*x4^3, x1*x2*x1*x2*x3*x1, x1, x2*x1*x2*x3*x1*x3,
x1*x2*x1*x2, x2*x1*x2*x3*x1*x3*x4^2 ]
[ x1*x2*x1*x2*x3*x1*x4^3, x2*x3, x2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2,
x2*x1*x2*x3*x1*x3*x4^2 ]
[ x1*x2*x1*x2*x3*x1*x4^3, x1*x2*x1*x2*x3*x1, x1*x2, x2*x1*x2*x3*x1*x3,
x1*x2*x1*x2, x2*x1*x2*x3*x1*x3*x4^2 ]
[ x2*x3*x1, x1, x2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2, x2*x1*x2*x3*x1*x3*x4^2 ]
[ x2*x3*x1*x4^3, x2*x3*x1, x1, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2,
x2*x1*x2*x3*x1*x3*x4^2 ]
[ x2*x1*x2*x3*x1*x4^3, x2*x3*x1, x2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2,
x2*x1*x2*x3*x1*x3*x4^2 ]
[ x2*x3*x1*x4^3, x2*x3*x1, x1*x2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2,
x2*x1*x2*x3*x1*x3*x4^2 ]
[ x1*x2*x3*x1*x3*x4^3, x1, x2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2,
x2*x1*x2*x3*x1*x3*x4^2 ]
[ x2*x3*x1*x4^3, x1*x2*x1*x2*x3*x1, x1, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2,
x2*x1*x2*x3*x1*x3*x4^2 ]
[ x2*x1*x2*x3*x1*x4^3, x2*x3, x2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2,
x2*x1*x2*x3*x1*x3*x4^2 ]
[ x2*x3*x1*x4^3, x1*x2*x1*x2*x3*x1, x1*x2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2,
x2*x1*x2*x3*x1*x3*x4^2 ]
[ x1*x2*x1*x2*x3*x1*x4^3, x2*x3*x1, x1, x2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2 ]
[ x5^3, x1*x4, x3, x1, x3^2, x5^2 ]
[ x5^3, x1*x4, x3, x2, x3^2, x5^2 ]
[ x5^3, x1*x4, x3, x1*x2, x3^2, x5^2 ]
[ x5^3, x1*x4, x1, x2, x3^2, x5^2 ]
[ x5^3, x1*x4, x3*x2, x1, x3^2, x5^2 ]
[ x5^3, x1*x4, x1*x3, x2, x3^2, x5^2 ]
[ x5^3, x1*x4, x3*x2, x1*x2, x3^2, x5^2 ]
[ x5^3, x3, x1, x2, x3^2, x5^2 ]
[ x5^3, x1*x2*x4, x3, x1, x3^2, x5^2 ]
[ x5^3, x4, x3, x2, x3^2, x5^2 ]
[ x5^3, x1*x2*x4, x3, x1*x2, x3^2, x5^2 ]
[ x5^3, x1*x3*x4, x1, x2, x3^2, x5^2 ]
[ x5^3, x1*x2*x4, x3*x2, x1, x3^2, x5^2 ]
[ x5^3, x4, x1*x3, x2, x3^2, x5^2 ]
[ x5^3, x1*x2*x4, x3*x2, x1*x2, x3^2, x5^2 ]
[ x1*x4, x3, x1, x2, x3^2, x5^2 ]
[ x2*x5^3, x1*x4, x3, x1, x3^2, x5^2 ]
[ x1*x5^3, x1*x4, x3, x2, x3^2, x5^2 ]
[ x2*x5^3, x1*x4, x3, x1*x2, x3^2, x5^2 ]
[ x3*x5^3, x1*x4, x1, x2, x3^2, x5^2 ]
[ x2*x5^3, x1*x4, x3*x2, x1, x3^2, x5^2 ]
[ x1*x5^3, x1*x4, x1*x3, x2, x3^2, x5^2 ]
[ x2*x5^3, x1*x4, x3*x2, x1*x2, x3^2, x5^2 ]
[ x1*x4*x5^3, x3, x1, x2, x3^2, x5^2 ]
[ x2*x5^3, x1*x2*x4, x3, x1, x3^2, x5^2 ]
[ x1*x5^3, x4, x3, x2, x3^2, x5^2 ]
[ x2*x5^3, x1*x2*x4, x3, x1*x2, x3^2, x5^2 ]
[ x3*x5^3, x1*x3*x4, x1, x2, x3^2, x5^2 ]
[ x2*x5^3, x1*x2*x4, x3*x2, x1, x3^2, x5^2 ]
[ x1*x5^3, x4, x1*x3, x2, x3^2, x5^2 ]
[ x2*x5^3, x1*x2*x4, x3*x2, x1*x2, x3^2, x5^2 ]
[ x5^3, x1*x4, x3, x1, x2, x3^2 ]
[ x1*x4*x1*x4^4, x1*x4^4, x1*x4*x2*x4*x1*x4^2, x1*x4*x1*x4,
x1*x2*x4*x2*x4*x1*x4^2, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4^4, x1*x4^4, x1*x3*x4^4, x1*x4*x1*x4, x1*x2*x4*x2*x4*x1*x4^2,
x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4^4, x1*x4^4, x1*x3*x4*x2*x4^3, x1*x4*x1*x4,
x1*x2*x4*x2*x4*x1*x4^2, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4^4, x1*x4*x2*x4*x1*x4^2, x1*x3*x4^4, x1*x4*x1*x4,
x1*x2*x4*x2*x4*x1*x4^2, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4^4, x3, x1*x4*x2*x4*x1*x4^2, x1*x4*x1*x4, x1*x2*x4*x2*x4*x1*x4^2,
x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4^4, x1*x4*x2*x4^3, x1*x3*x4^4, x1*x4*x1*x4,
x1*x2*x4*x2*x4*x1*x4^2, x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4^4, x3, x1*x3*x4*x2*x4^3, x1*x4*x1*x4, x1*x2*x4*x2*x4*x1*x4^2,
x1*x4*x1*x4^3 ]
[ x1*x4^4, x1*x4*x2*x4*x1*x4^2, x1*x3*x4^4, x1*x4*x1*x4,
x1*x2*x4*x2*x4*x1*x4^2, x1*x4*x1*x4^3 ]
[ x1*x3*x4, x1*x4^4, x1*x4*x2*x4*x1*x4^2, x1*x4*x1*x4, x1*x2*x4*x2*x4*x1*x4^2,
x1*x4*x1*x4^3 ]
[ x1*x2*x4*x1*x4^4, x1*x4^4, x1*x3*x4^4, x1*x4*x1*x4, x1*x2*x4*x2*x4*x1*x4^2,
x1*x4*x1*x4^3 ]
[ x1*x3*x4, x1*x4^4, x1*x3*x4*x2*x4^3, x1*x4*x1*x4, x1*x2*x4*x2*x4*x1*x4^2,
x1*x4*x1*x4^3 ]
[ x1*x4, x1*x4*x2*x4*x1*x4^2, x1*x3*x4^4, x1*x4*x1*x4, x1*x2*x4*x2*x4*x1*x4^2,
x1*x4*x1*x4^3 ]
[ x1*x3*x4, x3, x1*x4*x2*x4*x1*x4^2, x1*x4*x1*x4, x1*x2*x4*x2*x4*x1*x4^2,
x1*x4*x1*x4^3 ]
[ x1*x2*x4*x1*x4^4, x1*x4*x2*x4^3, x1*x3*x4^4, x1*x4*x1*x4,
x1*x2*x4*x2*x4*x1*x4^2, x1*x4*x1*x4^3 ]
[ x1*x3*x4, x3, x1*x3*x4*x2*x4^3, x1*x4*x1*x4, x1*x2*x4*x2*x4*x1*x4^2,
x1*x4*x1*x4^3 ]
[ x1*x4*x1*x4^4, x1*x4^4, x1*x4*x2*x4*x1*x4^2, x1*x3*x4^4, x1*x4*x1*x4,
x1*x2*x4*x2*x4*x1*x4^2 ]
[ x2^3, x2^4, x1^2 ]
[ x1, x2^4, x1^2 ]
[ x1*x2^3, x2^4, x1^2 ]
[ x2^3, x1, x1^2 ]
[ x2^3, x2^4, x1^2 ]
[ x1, x2^4, x1^2 ]
[ x1*x2^3, x2^4, x1^2 ]
[ x2^3, x1, x1^2 ]
[ x2^3, x2^4, x2^6 ]
[ x1, x2^4, x2^6 ]
[ x1*x2^3, x2^4, x2^6 ]
[ x2^3, x1, x2^6 ]
[ x2^3, x1^2, x2^2 ]
[ x1, x1^2, x2^2 ]
[ x1*x2^3, x1^2, x2^2 ]
[ x2^3, x1, x1^2 ]
[ x1*x2^3, x1^2, x2^2 ]
[ x1, x1^2, x2^2 ]
[ x1^2*x2^3, x1^2, x2^2 ]
[ x1*x2^3, x1, x1^2 ]
[ x1^2*x2*x1*x2*x1*x2, x1^2, x1^3*x2*x1*x2 ]
[ x1, x1^2, x1^3*x2*x1*x2 ]
[ x1^3*x2*x1*x2*x1*x2, x1^2, x1^3*x2*x1*x2 ]
[ x1^2*x2*x1*x2*x1*x2, x1, x1^2 ]
[ x2, x1^2, x1^3*x2*x1*x2 ]
[ x1^3*x2*x1*x2*x1, x1^2, x1^3*x2*x1*x2 ]
[ x1^3*x2*x1*x2*x1*x2, x1^2, x1^3*x2*x1*x2 ]
[ x2, x1^3*x2*x1*x2*x1, x1^2 ]
[ x5^3, x4, x1*x2*x3*x1*x2, x3*x1*x3, x5^4, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x5^3, x4, x1*x2*x3*x1*x2, x3*x1*x2*x3, x5^4, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3
]
[ x5^3, x4, x1*x2*x3*x1*x2, x3*x2*x3, x5^4, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x5^3, x4, x3*x1*x3, x3*x1*x2*x3, x5^4, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x5^3, x4, x3*x1*x2, x3*x1*x3, x5^4, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x5^3, x4, x2*x3*x1*x2, x3*x1*x2*x3, x5^4, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x5^3, x4, x3*x1*x2, x3*x2*x3, x5^4, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x5^3, x1*x2*x3*x1*x2, x3*x1*x3, x3*x1*x2*x3, x5^4, x1*x2*x3*x1*x2*x3,
x1*x3*x1*x3 ]
[ x5^3, x3*x1*x2*x3*x4, x1*x2*x3*x1*x2, x3*x1*x3, x5^4, x1*x2*x3*x1*x2*x3,
x1*x3*x1*x3 ]
[ x5^3, x3*x1*x3*x4, x1*x2*x3*x1*x2, x3*x1*x2*x3, x5^4, x1*x2*x3*x1*x2*x3,
x1*x3*x1*x3 ]
[ x5^3, x3*x1*x2*x3*x4, x1*x2*x3*x1*x2, x3*x2*x3, x5^4, x1*x2*x3*x1*x2*x3,
x1*x3*x1*x3 ]
[ x5^3, x1*x2*x3*x1*x2*x4, x3*x1*x3, x3*x1*x2*x3, x5^4, x1*x2*x3*x1*x2*x3,
x1*x3*x1*x3 ]
[ x5^3, x3*x1*x2*x3*x4, x3*x1*x2, x3*x1*x3, x5^4, x1*x2*x3*x1*x2*x3,
x1*x3*x1*x3 ]
[ x5^3, x3*x1*x3*x4, x2*x3*x1*x2, x3*x1*x2*x3, x5^4, x1*x2*x3*x1*x2*x3,
x1*x3*x1*x3 ]
[ x5^3, x3*x1*x2*x3*x4, x3*x1*x2, x3*x2*x3, x5^4, x1*x2*x3*x1*x2*x3,
x1*x3*x1*x3 ]
[ x4, x1*x2*x3*x1*x2, x3*x1*x3, x3*x1*x2*x3, x5^4, x1*x2*x3*x1*x2*x3,
x1*x3*x1*x3 ]
[ x3*x1*x2*x3*x5^3, x4, x1*x2*x3*x1*x2, x3*x1*x3, x5^4, x1*x2*x3*x1*x2*x3,
x1*x3*x1*x3 ]
[ x1*x5^3, x4, x1*x2*x3*x1*x2, x3*x1*x2*x3, x5^4, x1*x2*x3*x1*x2*x3,
x1*x3*x1*x3 ]
[ x3*x1*x2*x3*x5^3, x4, x1*x2*x3*x1*x2, x3*x2*x3, x5^4, x1*x2*x3*x1*x2*x3,
x1*x3*x1*x3 ]
[ x1*x2*x3*x1*x2*x5^3, x4, x3*x1*x3, x3*x1*x2*x3, x5^4, x1*x2*x3*x1*x2*x3,
x1*x3*x1*x3 ]
[ x3*x1*x2*x3*x5^3, x4, x3*x1*x2, x3*x1*x3, x5^4, x1*x2*x3*x1*x2*x3,
x1*x3*x1*x3 ]
[ x1*x5^3, x4, x2*x3*x1*x2, x3*x1*x2*x3, x5^4, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3
]
[ x3*x1*x2*x3*x5^3, x4, x3*x1*x2, x3*x2*x3, x5^4, x1*x2*x3*x1*x2*x3,
x1*x3*x1*x3 ]
[ x4*x5^3, x1*x2*x3*x1*x2, x3*x1*x3, x3*x1*x2*x3, x5^4, x1*x2*x3*x1*x2*x3,
x1*x3*x1*x3 ]
[ x3*x1*x2*x3*x5^3, x3*x1*x2*x3*x4, x1*x2*x3*x1*x2, x3*x1*x3, x5^4,
x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x1*x5^3, x3*x1*x3*x4, x1*x2*x3*x1*x2, x3*x1*x2*x3, x5^4, x1*x2*x3*x1*x2*x3,
x1*x3*x1*x3 ]
[ x3*x1*x2*x3*x5^3, x3*x1*x2*x3*x4, x1*x2*x3*x1*x2, x3*x2*x3, x5^4,
x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x1*x2*x3*x1*x2*x5^3, x1*x2*x3*x1*x2*x4, x3*x1*x3, x3*x1*x2*x3, x5^4,
x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x3*x1*x2*x3*x5^3, x3*x1*x2*x3*x4, x3*x1*x2, x3*x1*x3, x5^4,
x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x1*x5^3, x3*x1*x3*x4, x2*x3*x1*x2, x3*x1*x2*x3, x5^4, x1*x2*x3*x1*x2*x3,
x1*x3*x1*x3 ]
[ x3*x1*x2*x3*x5^3, x3*x1*x2*x3*x4, x3*x1*x2, x3*x2*x3, x5^4,
x1*x2*x3*x1*x2*x3, x1*x3*x1*x3 ]
[ x5^3, x4, x1*x2*x3*x1*x2, x3*x1*x3, x3*x1*x2*x3, x1*x2*x3*x1*x2*x3,
x1*x3*x1*x3 ]
[ x5^3, x1, x5^2*x2, x1^3*x2*x5*x2*x3*x5, x1^2, x1^2*x2*x3*x5*x2*x3*x5, x5^2 ]
[ x5^3, x1, x5^2*x2, x4*x5^2*x2, x1^2, x1^2*x2*x3*x5*x2*x3*x5, x5^2 ]
[ x5^3, x1, x5^2*x2, x1^3*x4*x5*x3*x5*x2, x1^2, x1^2*x2*x3*x5*x2*x3*x5, x5^2 ]
[ x5^3, x1, x1^3*x2*x5*x2*x3*x5, x4*x5^2*x2, x1^2, x1^2*x2*x3*x5*x2*x3*x5,
x5^2 ]
[ x5^3, x1, x4, x1^3*x2*x5*x2*x3*x5, x1^2, x1^2*x2*x3*x5*x2*x3*x5, x5^2 ]
[ x5^3, x1, x1^3*x5*x3*x5*x2, x4*x5^2*x2, x1^2, x1^2*x2*x3*x5*x2*x3*x5, x5^2 ]
[ x5^3, x1, x4, x1^3*x4*x5*x3*x5*x2, x1^2, x1^2*x2*x3*x5*x2*x3*x5, x5^2 ]
[ x5^3, x5^2*x2, x1^3*x2*x5*x2*x3*x5, x4*x5^2*x2, x1^2,
x1^2*x2*x3*x5*x2*x3*x5, x5^2 ]
[ x5^3, x1*x4*x5^2*x2, x5^2*x2, x1^3*x2*x5*x2*x3*x5, x1^2,
x1^2*x2*x3*x5*x2*x3*x5, x5^2 ]
[ x5^3, x2*x5*x2*x3*x5, x5^2*x2, x4*x5^2*x2, x1^2, x1^2*x2*x3*x5*x2*x3*x5,
x5^2 ]
[ x5^3, x1*x4*x5^2*x2, x5^2*x2, x1^3*x4*x5*x3*x5*x2, x1^2,
x1^2*x2*x3*x5*x2*x3*x5, x5^2 ]
[ x5^3, x1*x5^2*x2, x1^3*x2*x5*x2*x3*x5, x4*x5^2*x2, x1^2,
x1^2*x2*x3*x5*x2*x3*x5, x5^2 ]
[ x5^3, x1*x4*x5^2*x2, x4, x1^3*x2*x5*x2*x3*x5, x1^2, x1^2*x2*x3*x5*x2*x3*x5,
x5^2 ]
[ x5^3, x2*x5*x2*x3*x5, x1^3*x5*x3*x5*x2, x4*x5^2*x2, x1^2,
x1^2*x2*x3*x5*x2*x3*x5, x5^2 ]
[ x5^3, x1*x4*x5^2*x2, x4, x1^3*x4*x5*x3*x5*x2, x1^2, x1^2*x2*x3*x5*x2*x3*x5,
x5^2 ]
[ x1, x5^2*x2, x1^3*x2*x5*x2*x3*x5, x4*x5^2*x2, x1^2, x1^2*x2*x3*x5*x2*x3*x5,
x5^2 ]
[ x2*x4*x5, x1, x5^2*x2, x1^3*x2*x5*x2*x3*x5, x1^2, x1^2*x2*x3*x5*x2*x3*x5,
x5^2 ]
[ x1^3*x3*x5^3, x1, x5^2*x2, x4*x5^2*x2, x1^2, x1^2*x2*x3*x5*x2*x3*x5, x5^2 ]
[ x2*x4*x5, x1, x5^2*x2, x1^3*x4*x5*x3*x5*x2, x1^2, x1^2*x2*x3*x5*x2*x3*x5,
x5^2 ]
[ x2*x5, x1, x1^3*x2*x5*x2*x3*x5, x4*x5^2*x2, x1^2, x1^2*x2*x3*x5*x2*x3*x5,
x5^2 ]
[ x2*x4*x5, x1, x4, x1^3*x2*x5*x2*x3*x5, x1^2, x1^2*x2*x3*x5*x2*x3*x5, x5^2 ]
[ x1^3*x3*x5^3, x1, x1^3*x5*x3*x5*x2, x4*x5^2*x2, x1^2,
x1^2*x2*x3*x5*x2*x3*x5, x5^2 ]
[ x2*x4*x5, x1, x4, x1^3*x4*x5*x3*x5*x2, x1^2, x1^2*x2*x3*x5*x2*x3*x5, x5^2 ]
[ x1*x5^3, x5^2*x2, x1^3*x2*x5*x2*x3*x5, x4*x5^2*x2, x1^2,
x1^2*x2*x3*x5*x2*x3*x5, x5^2 ]
[ x2*x4*x5, x1*x4*x5^2*x2, x5^2*x2, x1^3*x2*x5*x2*x3*x5, x1^2,
x1^2*x2*x3*x5*x2*x3*x5, x5^2 ]
[ x1^3*x3*x5^3, x2*x5*x2*x3*x5, x5^2*x2, x4*x5^2*x2, x1^2,
x1^2*x2*x3*x5*x2*x3*x5, x5^2 ]
[ x2*x4*x5, x1*x4*x5^2*x2, x5^2*x2, x1^3*x4*x5*x3*x5*x2, x1^2,
x1^2*x2*x3*x5*x2*x3*x5, x5^2 ]
[ x2*x5, x1*x5^2*x2, x1^3*x2*x5*x2*x3*x5, x4*x5^2*x2, x1^2,
x1^2*x2*x3*x5*x2*x3*x5, x5^2 ]
[ x2*x4*x5, x1*x4*x5^2*x2, x4, x1^3*x2*x5*x2*x3*x5, x1^2,
x1^2*x2*x3*x5*x2*x3*x5, x5^2 ]
[ x1^3*x3*x5^3, x2*x5*x2*x3*x5, x1^3*x5*x3*x5*x2, x4*x5^2*x2, x1^2,
x1^2*x2*x3*x5*x2*x3*x5, x5^2 ]
[ x2*x4*x5, x1*x4*x5^2*x2, x4, x1^3*x4*x5*x3*x5*x2, x1^2,
x1^2*x2*x3*x5*x2*x3*x5, x5^2 ]
[ x5^3, x1, x5^2*x2, x1^3*x2*x5*x2*x3*x5, x4*x5^2*x2, x1^2,
x1^2*x2*x3*x5*x2*x3*x5 ]
[ x5^3, x1, x5^2*x2, x2*x5*x1*x2*x3*x5, x1*x2*x3*x5*x1*x2*x3*x5,
x1*x2*x5*x1*x2*x5, x5^2 ]
[ x5^3, x1, x5^2*x2, x4*x5^2*x2, x1*x2*x3*x5*x1*x2*x3*x5, x1*x2*x5*x1*x2*x5,
x5^2 ]
[ x5^3, x1, x5^2*x2, x4*x5*x1*x3*x5*x2, x1*x2*x3*x5*x1*x2*x3*x5,
x1*x2*x5*x1*x2*x5, x5^2 ]
[ x5^3, x1, x2*x5*x1*x2*x3*x5, x4*x5^2*x2, x1*x2*x3*x5*x1*x2*x3*x5,
x1*x2*x5*x1*x2*x5, x5^2 ]
[ x5^3, x1, x4, x2*x5*x1*x2*x3*x5, x1*x2*x3*x5*x1*x2*x3*x5, x1*x2*x5*x1*x2*x5,
x5^2 ]
[ x5^3, x1, x5*x1*x3*x5*x2, x4*x5^2*x2, x1*x2*x3*x5*x1*x2*x3*x5,
x1*x2*x5*x1*x2*x5, x5^2 ]
[ x5^3, x1, x4, x4*x5*x1*x3*x5*x2, x1*x2*x3*x5*x1*x2*x3*x5, x1*x2*x5*x1*x2*x5,
x5^2 ]
[ x5^3, x5^2*x2, x2*x5*x1*x2*x3*x5, x4*x5^2*x2, x1*x2*x3*x5*x1*x2*x3*x5,
x1*x2*x5*x1*x2*x5, x5^2 ]
[ x5^3, x1*x4*x5^2*x2, x5^2*x2, x2*x5*x1*x2*x3*x5, x1*x2*x3*x5*x1*x2*x3*x5,
x1*x2*x5*x1*x2*x5, x5^2 ]
[ x5^3, x1*x2*x5*x1*x2*x3*x5, x5^2*x2, x4*x5^2*x2, x1*x2*x3*x5*x1*x2*x3*x5,
x1*x2*x5*x1*x2*x5, x5^2 ]
[ x5^3, x1*x4*x5^2*x2, x5^2*x2, x4*x5*x1*x3*x5*x2, x1*x2*x3*x5*x1*x2*x3*x5,
x1*x2*x5*x1*x2*x5, x5^2 ]
[ x5^3, x1*x5^2*x2, x2*x5*x1*x2*x3*x5, x4*x5^2*x2, x1*x2*x3*x5*x1*x2*x3*x5,
x1*x2*x5*x1*x2*x5, x5^2 ]
[ x5^3, x1*x4*x5^2*x2, x4, x2*x5*x1*x2*x3*x5, x1*x2*x3*x5*x1*x2*x3*x5,
x1*x2*x5*x1*x2*x5, x5^2 ]
[ x5^3, x1*x2*x5*x1*x2*x3*x5, x5*x1*x3*x5*x2, x4*x5^2*x2,
x1*x2*x3*x5*x1*x2*x3*x5, x1*x2*x5*x1*x2*x5, x5^2 ]
[ x5^3, x1*x4*x5^2*x2, x4, x4*x5*x1*x3*x5*x2, x1*x2*x3*x5*x1*x2*x3*x5,
x1*x2*x5*x1*x2*x5, x5^2 ]
[ x1, x5^2*x2, x2*x5*x1*x2*x3*x5, x4*x5^2*x2, x1*x2*x3*x5*x1*x2*x3*x5,
x1*x2*x5*x1*x2*x5, x5^2 ]
[ x2*x4*x5, x1, x5^2*x2, x2*x5*x1*x2*x3*x5, x1*x2*x3*x5*x1*x2*x3*x5,
x1*x2*x5*x1*x2*x5, x5^2 ]
[ x1*x3*x5^3, x1, x5^2*x2, x4*x5^2*x2, x1*x2*x3*x5*x1*x2*x3*x5,
x1*x2*x5*x1*x2*x5, x5^2 ]
[ x2*x4*x5, x1, x5^2*x2, x4*x5*x1*x3*x5*x2, x1*x2*x3*x5*x1*x2*x3*x5,
x1*x2*x5*x1*x2*x5, x5^2 ]
[ x2*x5, x1, x2*x5*x1*x2*x3*x5, x4*x5^2*x2, x1*x2*x3*x5*x1*x2*x3*x5,
x1*x2*x5*x1*x2*x5, x5^2 ]
[ x2*x4*x5, x1, x4, x2*x5*x1*x2*x3*x5, x1*x2*x3*x5*x1*x2*x3*x5,
x1*x2*x5*x1*x2*x5, x5^2 ]
[ x1*x3*x5^3, x1, x5*x1*x3*x5*x2, x4*x5^2*x2, x1*x2*x3*x5*x1*x2*x3*x5,
x1*x2*x5*x1*x2*x5, x5^2 ]
[ x2*x4*x5, x1, x4, x4*x5*x1*x3*x5*x2, x1*x2*x3*x5*x1*x2*x3*x5,
x1*x2*x5*x1*x2*x5, x5^2 ]
[ x5*x1*x5^2, x5^2*x2, x2*x5*x1*x2*x3*x5, x4*x5^2*x2, x1*x2*x3*x5*x1*x2*x3*x5,
x1*x2*x5*x1*x2*x5, x5^2 ]
[ x2*x4*x5, x1*x4*x5^2*x2, x5^2*x2, x2*x5*x1*x2*x3*x5,
x1*x2*x3*x5*x1*x2*x3*x5, x1*x2*x5*x1*x2*x5, x5^2 ]
[ x1*x3*x5^3, x1*x2*x5*x1*x2*x3*x5, x5^2*x2, x4*x5^2*x2,
x1*x2*x3*x5*x1*x2*x3*x5, x1*x2*x5*x1*x2*x5, x5^2 ]
[ x2*x4*x5, x1*x4*x5^2*x2, x5^2*x2, x4*x5*x1*x3*x5*x2,
x1*x2*x3*x5*x1*x2*x3*x5, x1*x2*x5*x1*x2*x5, x5^2 ]
[ x2*x5, x1*x5^2*x2, x2*x5*x1*x2*x3*x5, x4*x5^2*x2, x1*x2*x3*x5*x1*x2*x3*x5,
x1*x2*x5*x1*x2*x5, x5^2 ]
[ x2*x4*x5, x1*x4*x5^2*x2, x4, x2*x5*x1*x2*x3*x5, x1*x2*x3*x5*x1*x2*x3*x5,
x1*x2*x5*x1*x2*x5, x5^2 ]
[ x1*x3*x5^3, x1*x2*x5*x1*x2*x3*x5, x5*x1*x3*x5*x2, x4*x5^2*x2,
x1*x2*x3*x5*x1*x2*x3*x5, x1*x2*x5*x1*x2*x5, x5^2 ]
[ x2*x4*x5, x1*x4*x5^2*x2, x4, x4*x5*x1*x3*x5*x2, x1*x2*x3*x5*x1*x2*x3*x5,
x1*x2*x5*x1*x2*x5, x5^2 ]
[ x5^3, x1, x5^2*x2, x2*x5*x1*x2*x3*x5, x4*x5^2*x2, x1*x2*x3*x5*x1*x2*x3*x5,
x1*x2*x5*x1*x2*x5 ]
[ x2*x5*x2*x5^2, x1*x3, x4*x2*x4, x1, x1*x5*x1*x5, x2*x4*x2*x4, x2*x5*x2*x5 ]
[ x2*x5*x2*x5^2, x1*x3, x4*x2*x4, x2*x4*x2, x1*x5*x1*x5, x2*x4*x2*x4,
x2*x5*x2*x5 ]
[ x2*x5*x2*x5^2, x1*x3, x4*x2*x4, x1*x2*x4*x2, x1*x5*x1*x5, x2*x4*x2*x4,
x2*x5*x2*x5 ]
[ x2*x5*x2*x5^2, x1*x3, x1, x2*x4*x2, x1*x5*x1*x5, x2*x4*x2*x4, x2*x5*x2*x5 ]
[ x2*x5*x2*x5^2, x1*x3, x2*x4, x1, x1*x5*x1*x5, x2*x4*x2*x4, x2*x5*x2*x5 ]
[ x2*x5*x2*x5^2, x1*x3, x1*x4*x2*x4, x2*x4*x2, x1*x5*x1*x5, x2*x4*x2*x4,
x2*x5*x2*x5 ]
[ x2*x5*x2*x5^2, x1*x3, x2*x4, x1*x2*x4*x2, x1*x5*x1*x5, x2*x4*x2*x4,
x2*x5*x2*x5 ]
[ x2*x5*x2*x5^2, x4*x2*x4, x1, x2*x4*x2, x1*x5*x1*x5, x2*x4*x2*x4,
x2*x5*x2*x5 ]
[ x2*x5*x2*x5^2, x1*x2*x3*x4*x2, x4*x2*x4, x1, x1*x5*x1*x5, x2*x4*x2*x4,
x2*x5*x2*x5 ]
[ x2*x5*x2*x5^2, x3, x4*x2*x4, x2*x4*x2, x1*x5*x1*x5, x2*x4*x2*x4,
x2*x5*x2*x5 ]
[ x2*x5*x2*x5^2, x1*x2*x3*x4*x2, x4*x2*x4, x1*x2*x4*x2, x1*x5*x1*x5,
x2*x4*x2*x4, x2*x5*x2*x5 ]
[ x2*x5*x2*x5^2, x1*x3*x4*x2*x4, x1, x2*x4*x2, x1*x5*x1*x5, x2*x4*x2*x4,
x2*x5*x2*x5 ]
[ x2*x5*x2*x5^2, x1*x2*x3*x4*x2, x2*x4, x1, x1*x5*x1*x5, x2*x4*x2*x4,
x2*x5*x2*x5 ]
[ x2*x5*x2*x5^2, x3, x1*x4*x2*x4, x2*x4*x2, x1*x5*x1*x5, x2*x4*x2*x4,
x2*x5*x2*x5 ]
[ x2*x5*x2*x5^2, x1*x2*x3*x4*x2, x2*x4, x1*x2*x4*x2, x1*x5*x1*x5,
x2*x4*x2*x4, x2*x5*x2*x5 ]
[ x1*x3, x4*x2*x4, x1, x2*x4*x2, x1*x5*x1*x5, x2*x4*x2*x4, x2*x5*x2*x5 ]
[ x2*x4*x2*x5^3, x1*x3, x4*x2*x4, x1, x1*x5*x1*x5, x2*x4*x2*x4, x2*x5*x2*x5 ]
[ x1*x2*x5*x2*x5^2, x1*x3, x4*x2*x4, x2*x4*x2, x1*x5*x1*x5, x2*x4*x2*x4,
x2*x5*x2*x5 ]
[ x2*x4*x2*x5^3, x1*x3, x4*x2*x4, x1*x2*x4*x2, x1*x5*x1*x5, x2*x4*x2*x4,
x2*x5*x2*x5 ]
[ x4*x2*x4*x5^3, x1*x3, x1, x2*x4*x2, x1*x5*x1*x5, x2*x4*x2*x4, x2*x5*x2*x5 ]
[ x2*x4*x2*x5^3, x1*x3, x2*x4, x1, x1*x5*x1*x5, x2*x4*x2*x4, x2*x5*x2*x5 ]
[ x1*x2*x5*x2*x5^2, x1*x3, x1*x4*x2*x4, x2*x4*x2, x1*x5*x1*x5, x2*x4*x2*x4,
x2*x5*x2*x5 ]
[ x2*x4*x2*x5^3, x1*x3, x2*x4, x1*x2*x4*x2, x1*x5*x1*x5, x2*x4*x2*x4,
x2*x5*x2*x5 ]
[ x1*x2*x3*x5*x2*x5^2, x4*x2*x4, x1, x2*x4*x2, x1*x5*x1*x5, x2*x4*x2*x4,
x2*x5*x2*x5 ]
[ x2*x4*x2*x5^3, x1*x2*x3*x4*x2, x4*x2*x4, x1, x1*x5*x1*x5, x2*x4*x2*x4,
x2*x5*x2*x5 ]
[ x1*x2*x5*x2*x5^2, x3, x4*x2*x4, x2*x4*x2, x1*x5*x1*x5, x2*x4*x2*x4,
x2*x5*x2*x5 ]
[ x2*x4*x2*x5^3, x1*x2*x3*x4*x2, x4*x2*x4, x1*x2*x4*x2, x1*x5*x1*x5,
x2*x4*x2*x4, x2*x5*x2*x5 ]
[ x4*x2*x4*x5^3, x1*x3*x4*x2*x4, x1, x2*x4*x2, x1*x5*x1*x5, x2*x4*x2*x4,
x2*x5*x2*x5 ]
[ x2*x4*x2*x5^3, x1*x2*x3*x4*x2, x2*x4, x1, x1*x5*x1*x5, x2*x4*x2*x4,
x2*x5*x2*x5 ]
[ x1*x2*x5*x2*x5^2, x3, x1*x4*x2*x4, x2*x4*x2, x1*x5*x1*x5, x2*x4*x2*x4,
x2*x5*x2*x5 ]
[ x2*x4*x2*x5^3, x1*x2*x3*x4*x2, x2*x4, x1*x2*x4*x2, x1*x5*x1*x5,
x2*x4*x2*x4, x2*x5*x2*x5 ]
[ x2*x5*x2*x5^2, x1*x3, x4*x2*x4, x1, x2*x4*x2, x1*x5*x1*x5, x2*x4*x2*x4 ]
[ x1*x5*x1*x5^2, x1^3*x2*x5*x2*x5, x1*x2*x5*x1*x5, x2*x3*x5*x2*x5, x1^2,
x1^2*x2*x5*x2*x5, x1*x5*x1*x5 ]
[ x1*x5*x1*x5^2, x1^3*x2*x5*x2*x5, x1*x2*x5*x1*x5, x1*x2*x4*x5*x1*x5, x1^2,
x1^2*x2*x5*x2*x5, x1*x5*x1*x5 ]
[ x1*x5*x1*x5^2, x1^3*x2*x5*x2*x5, x1*x2*x5*x1*x5, x2*x3*x4*x5^2, x1^2,
x1^2*x2*x5*x2*x5, x1*x5*x1*x5 ]
[ x1*x5*x1*x5^2, x1^3*x2*x5*x2*x5, x2*x3*x5*x2*x5, x1*x2*x4*x5*x1*x5, x1^2,
x1^2*x2*x5*x2*x5, x1*x5*x1*x5 ]
[ x1*x5*x1*x5^2, x1^3*x2*x5*x2*x5, x4, x2*x3*x5*x2*x5, x1^2, x1^2*x2*x5*x2*x5,
x1*x5*x1*x5 ]
[ x1*x5*x1*x5^2, x1^3*x2*x5*x2*x5, x2*x3*x5^2, x1*x2*x4*x5*x1*x5, x1^2,
x1^2*x2*x5*x2*x5, x1*x5*x1*x5 ]
[ x1*x5*x1*x5^2, x1^3*x2*x5*x2*x5, x4, x2*x3*x4*x5^2, x1^2, x1^2*x2*x5*x2*x5,
x1*x5*x1*x5 ]
[ x1*x5*x1*x5^2, x1*x2*x5*x1*x5, x2*x3*x5*x2*x5, x1*x2*x4*x5*x1*x5, x1^2,
x1^2*x2*x5*x2*x5, x1*x5*x1*x5 ]
[ x1*x5*x1*x5^2, x1^3*x2*x4*x5^2, x1*x2*x5*x1*x5, x2*x3*x5*x2*x5, x1^2,
x1^2*x2*x5*x2*x5, x1*x5*x1*x5 ]
[ x1*x5*x1*x5^2, x1^3*x3, x1*x2*x5*x1*x5, x1*x2*x4*x5*x1*x5, x1^2,
x1^2*x2*x5*x2*x5, x1*x5*x1*x5 ]
[ x1*x5*x1*x5^2, x1^3*x2*x4*x5^2, x1*x2*x5*x1*x5, x2*x3*x4*x5^2, x1^2,
x1^2*x2*x5*x2*x5, x1*x5*x1*x5 ]
[ x1*x5*x1*x5^2, x1^3*x2*x5^2, x2*x3*x5*x2*x5, x1*x2*x4*x5*x1*x5, x1^2,
x1^2*x2*x5*x2*x5, x1*x5*x1*x5 ]
[ x1*x5*x1*x5^2, x1^3*x2*x4*x5^2, x4, x2*x3*x5*x2*x5, x1^2, x1^2*x2*x5*x2*x5,
x1*x5*x1*x5 ]
[ x1*x5*x1*x5^2, x1^3*x3, x2*x3*x5^2, x1*x2*x4*x5*x1*x5, x1^2,
x1^2*x2*x5*x2*x5, x1*x5*x1*x5 ]
[ x1*x5*x1*x5^2, x1^3*x2*x4*x5^2, x4, x2*x3*x4*x5^2, x1^2, x1^2*x2*x5*x2*x5,
x1*x5*x1*x5 ]
[ x1^3*x2*x5*x2*x5, x1*x2*x5*x1*x5, x2*x3*x5*x2*x5, x1*x2*x4*x5*x1*x5, x1^2,
x1^2*x2*x5*x2*x5, x1*x5*x1*x5 ]
[ x4*x5*x2, x1^3*x2*x5*x2*x5, x1*x2*x5*x1*x5, x2*x3*x5*x2*x5, x1^2,
x1^2*x2*x5*x2*x5, x1*x5*x1*x5 ]
[ x1*x3*x5*x1*x5^2, x1^3*x2*x5*x2*x5, x1*x2*x5*x1*x5, x1*x2*x4*x5*x1*x5,
x1^2, x1^2*x2*x5*x2*x5, x1*x5*x1*x5 ]
[ x4*x5*x2, x1^3*x2*x5*x2*x5, x1*x2*x5*x1*x5, x2*x3*x4*x5^2, x1^2,
x1^2*x2*x5*x2*x5, x1*x5*x1*x5 ]
[ x5*x2, x1^3*x2*x5*x2*x5, x2*x3*x5*x2*x5, x1*x2*x4*x5*x1*x5, x1^2,
x1^2*x2*x5*x2*x5, x1*x5*x1*x5 ]
[ x4*x5*x2, x1^3*x2*x5*x2*x5, x4, x2*x3*x5*x2*x5, x1^2, x1^2*x2*x5*x2*x5,
x1*x5*x1*x5 ]
[ x1*x3*x5*x1*x5^2, x1^3*x2*x5*x2*x5, x2*x3*x5^2, x1*x2*x4*x5*x1*x5, x1^2,
x1^2*x2*x5*x2*x5, x1*x5*x1*x5 ]
[ x4*x5*x2, x1^3*x2*x5*x2*x5, x4, x2*x3*x4*x5^2, x1^2, x1^2*x2*x5*x2*x5,
x1*x5*x1*x5 ]
[ x1^2*x5*x1*x5^2, x1*x2*x5*x1*x5, x2*x3*x5*x2*x5, x1*x2*x4*x5*x1*x5, x1^2,
x1^2*x2*x5*x2*x5, x1*x5*x1*x5 ]
[ x4*x5*x2, x1^3*x2*x4*x5^2, x1*x2*x5*x1*x5, x2*x3*x5*x2*x5, x1^2,
x1^2*x2*x5*x2*x5, x1*x5*x1*x5 ]
[ x1*x3*x5*x1*x5^2, x1^3*x3, x1*x2*x5*x1*x5, x1*x2*x4*x5*x1*x5, x1^2,
x1^2*x2*x5*x2*x5, x1*x5*x1*x5 ]
[ x4*x5*x2, x1^3*x2*x4*x5^2, x1*x2*x5*x1*x5, x2*x3*x4*x5^2, x1^2,
x1^2*x2*x5*x2*x5, x1*x5*x1*x5 ]
[ x5*x2, x1^3*x2*x5^2, x2*x3*x5*x2*x5, x1*x2*x4*x5*x1*x5, x1^2,
x1^2*x2*x5*x2*x5, x1*x5*x1*x5 ]
[ x4*x5*x2, x1^3*x2*x4*x5^2, x4, x2*x3*x5*x2*x5, x1^2, x1^2*x2*x5*x2*x5,
x1*x5*x1*x5 ]
[ x1*x3*x5*x1*x5^2, x1^3*x3, x2*x3*x5^2, x1*x2*x4*x5*x1*x5, x1^2,
x1^2*x2*x5*x2*x5, x1*x5*x1*x5 ]
[ x4*x5*x2, x1^3*x2*x4*x5^2, x4, x2*x3*x4*x5^2, x1^2, x1^2*x2*x5*x2*x5,
x1*x5*x1*x5 ]
[ x1*x5*x1*x5^2, x1^3*x2*x5*x2*x5, x1*x2*x5*x1*x5, x2*x3*x5*x2*x5,
x1*x2*x4*x5*x1*x5, x1^2, x1^2*x2*x5*x2*x5 ]
[ x5^3, x4, x3, x2*x1*x2, x2*x3*x2*x3, x1*x2*x1*x2, x5^2 ]
[ x5^3, x4, x3, x1*x2*x1*x2*x3*x2*x3, x2*x3*x2*x3, x1*x2*x1*x2, x5^2 ]
[ x5^3, x4, x3, x1*x3*x2*x3, x2*x3*x2*x3, x1*x2*x1*x2, x5^2 ]
[ x5^3, x4, x2*x1*x2, x1*x2*x1*x2*x3*x2*x3, x2*x3*x2*x3, x1*x2*x1*x2, x5^2 ]
[ x5^3, x4, x1*x2*x1*x3, x2*x1*x2, x2*x3*x2*x3, x1*x2*x1*x2, x5^2 ]
[ x5^3, x4, x2*x1*x2*x3, x1*x2*x1*x2*x3*x2*x3, x2*x3*x2*x3, x1*x2*x1*x2, x5^2
]
[ x5^3, x4, x1*x2*x1*x3, x1*x3*x2*x3, x2*x3*x2*x3, x1*x2*x1*x2, x5^2 ]
[ x5^3, x3, x2*x1*x2, x1*x2*x1*x2*x3*x2*x3, x2*x3*x2*x3, x1*x2*x1*x2, x5^2 ]
[ x5^3, x1*x2*x1*x2*x3*x2*x3*x4, x3, x2*x1*x2, x2*x3*x2*x3, x1*x2*x1*x2, x5^2
]
[ x5^3, x2*x1*x2*x4, x3, x1*x2*x1*x2*x3*x2*x3, x2*x3*x2*x3, x1*x2*x1*x2, x5^2
]
[ x5^3, x1*x2*x1*x2*x3*x2*x3*x4, x3, x1*x3*x2*x3, x2*x3*x2*x3, x1*x2*x1*x2,
x5^2 ]
[ x5^3, x3*x4, x2*x1*x2, x1*x2*x1*x2*x3*x2*x3, x2*x3*x2*x3, x1*x2*x1*x2, x5^2
]
[ x5^3, x1*x2*x1*x2*x3*x2*x3*x4, x1*x2*x1*x3, x2*x1*x2, x2*x3*x2*x3,
x1*x2*x1*x2, x5^2 ]
[ x5^3, x2*x1*x2*x4, x2*x1*x2*x3, x1*x2*x1*x2*x3*x2*x3, x2*x3*x2*x3,
x1*x2*x1*x2, x5^2 ]
[ x5^3, x1*x2*x1*x2*x3*x2*x3*x4, x1*x2*x1*x3, x1*x3*x2*x3, x2*x3*x2*x3,
x1*x2*x1*x2, x5^2 ]
[ x4, x3, x2*x1*x2, x1*x2*x1*x2*x3*x2*x3, x2*x3*x2*x3, x1*x2*x1*x2, x5^2 ]
[ x1*x2*x1*x2*x3*x2*x3*x5^3, x4, x3, x2*x1*x2, x2*x3*x2*x3, x1*x2*x1*x2, x5^2
]
[ x2*x1*x3*x2*x3*x5^3, x4, x3, x1*x2*x1*x2*x3*x2*x3, x2*x3*x2*x3,
x1*x2*x1*x2, x5^2 ]
[ x1*x2*x1*x2*x3*x2*x3*x5^3, x4, x3, x1*x3*x2*x3, x2*x3*x2*x3, x1*x2*x1*x2,
x5^2 ]
[ x2*x3*x2*x5^3, x4, x2*x1*x2, x1*x2*x1*x2*x3*x2*x3, x2*x3*x2*x3,
x1*x2*x1*x2, x5^2 ]
[ x1*x2*x1*x2*x3*x2*x3*x5^3, x4, x1*x2*x1*x3, x2*x1*x2, x2*x3*x2*x3,
x1*x2*x1*x2, x5^2 ]
[ x2*x1*x3*x2*x3*x5^3, x4, x2*x1*x2*x3, x1*x2*x1*x2*x3*x2*x3, x2*x3*x2*x3,
x1*x2*x1*x2, x5^2 ]
[ x1*x2*x1*x2*x3*x2*x3*x5^3, x4, x1*x2*x1*x3, x1*x3*x2*x3, x2*x3*x2*x3,
x1*x2*x1*x2, x5^2 ]
[ x4*x5^3, x3, x2*x1*x2, x1*x2*x1*x2*x3*x2*x3, x2*x3*x2*x3, x1*x2*x1*x2, x5^2
]
[ x1*x2*x1*x2*x3*x2*x3*x5^3, x1*x2*x1*x2*x3*x2*x3*x4, x3, x2*x1*x2,
x2*x3*x2*x3, x1*x2*x1*x2, x5^2 ]
[ x2*x1*x3*x2*x3*x5^3, x2*x1*x2*x4, x3, x1*x2*x1*x2*x3*x2*x3, x2*x3*x2*x3,
x1*x2*x1*x2, x5^2 ]
[ x1*x2*x1*x2*x3*x2*x3*x5^3, x1*x2*x1*x2*x3*x2*x3*x4, x3, x1*x3*x2*x3,
x2*x3*x2*x3, x1*x2*x1*x2, x5^2 ]
[ x2*x3*x2*x5^3, x3*x4, x2*x1*x2, x1*x2*x1*x2*x3*x2*x3, x2*x3*x2*x3,
x1*x2*x1*x2, x5^2 ]
[ x1*x2*x1*x2*x3*x2*x3*x5^3, x1*x2*x1*x2*x3*x2*x3*x4, x1*x2*x1*x3, x2*x1*x2,
x2*x3*x2*x3, x1*x2*x1*x2, x5^2 ]
[ x2*x1*x3*x2*x3*x5^3, x2*x1*x2*x4, x2*x1*x2*x3, x1*x2*x1*x2*x3*x2*x3,
x2*x3*x2*x3, x1*x2*x1*x2, x5^2 ]
[ x1*x2*x1*x2*x3*x2*x3*x5^3, x1*x2*x1*x2*x3*x2*x3*x4, x1*x2*x1*x3,
x1*x3*x2*x3, x2*x3*x2*x3, x1*x2*x1*x2, x5^2 ]
[ x5^3, x4, x3, x2*x1*x2, x1*x2*x1*x2*x3*x2*x3, x2*x3*x2*x3, x1*x2*x1*x2 ]
[ x5^3, x2, x2*x1*x2, x3, x3*x4*x5*x3*x4*x5, x1*x2*x1*x2, x5^2 ]
[ x5^3, x2, x2*x1*x2, x3*x5*x3*x4*x5, x3*x4*x5*x3*x4*x5, x1*x2*x1*x2, x5^2 ]
[ x5^3, x2, x2*x1*x2, x5*x3*x4*x5, x3*x4*x5*x3*x4*x5, x1*x2*x1*x2, x5^2 ]
[ x5^3, x2, x3, x3*x5*x3*x4*x5, x3*x4*x5*x3*x4*x5, x1*x2*x1*x2, x5^2 ]
[ x5^3, x2, x2*x1*x2*x3*x5*x3*x4*x5, x3, x3*x4*x5*x3*x4*x5, x1*x2*x1*x2, x5^2
]
[ x5^3, x2, x2*x1*x2*x3, x3*x5*x3*x4*x5, x3*x4*x5*x3*x4*x5, x1*x2*x1*x2, x5^2
]
[ x5^3, x2, x2*x1*x2*x3*x5*x3*x4*x5, x5*x3*x4*x5, x3*x4*x5*x3*x4*x5,
x1*x2*x1*x2, x5^2 ]
[ x5^3, x2*x1*x2, x3, x3*x5*x3*x4*x5, x3*x4*x5*x3*x4*x5, x1*x2*x1*x2, x5^2 ]
[ x5^3, x2*x3*x5*x3*x4*x5, x2*x1*x2, x3, x3*x4*x5*x3*x4*x5, x1*x2*x1*x2, x5^2
]
[ x5^3, x2*x3, x2*x1*x2, x3*x5*x3*x4*x5, x3*x4*x5*x3*x4*x5, x1*x2*x1*x2, x5^2
]
[ x5^3, x2*x3*x5*x3*x4*x5, x2*x1*x2, x5*x3*x4*x5, x3*x4*x5*x3*x4*x5,
x1*x2*x1*x2, x5^2 ]
[ x5^3, x1*x2, x3, x3*x5*x3*x4*x5, x3*x4*x5*x3*x4*x5, x1*x2*x1*x2, x5^2 ]
[ x5^3, x2*x3*x5*x3*x4*x5, x2*x1*x2*x3*x5*x3*x4*x5, x3, x3*x4*x5*x3*x4*x5,
x1*x2*x1*x2, x5^2 ]
[ x5^3, x2*x3, x2*x1*x2*x3, x3*x5*x3*x4*x5, x3*x4*x5*x3*x4*x5, x1*x2*x1*x2,
x5^2 ]
[ x5^3, x2*x3*x5*x3*x4*x5, x2*x1*x2*x3*x5*x3*x4*x5, x5*x3*x4*x5,
x3*x4*x5*x3*x4*x5, x1*x2*x1*x2, x5^2 ]
[ x2, x2*x1*x2, x3, x3*x5*x3*x4*x5, x3*x4*x5*x3*x4*x5, x1*x2*x1*x2, x5^2 ]
[ x4*x5^3, x2, x2*x1*x2, x3, x3*x4*x5*x3*x4*x5, x1*x2*x1*x2, x5^2 ]
[ x3*x5^3, x2, x2*x1*x2, x3*x5*x3*x4*x5, x3*x4*x5*x3*x4*x5, x1*x2*x1*x2, x5^2
]
[ x4*x5^3, x2, x2*x1*x2, x5*x3*x4*x5, x3*x4*x5*x3*x4*x5, x1*x2*x1*x2, x5^2 ]
[ x2*x1*x2*x5^3, x2, x3, x3*x5*x3*x4*x5, x3*x4*x5*x3*x4*x5, x1*x2*x1*x2, x5^2
]
[ x4*x5^3, x2, x2*x1*x2*x3*x5*x3*x4*x5, x3, x3*x4*x5*x3*x4*x5, x1*x2*x1*x2,
x5^2 ]
[ x3*x5^3, x2, x2*x1*x2*x3, x3*x5*x3*x4*x5, x3*x4*x5*x3*x4*x5, x1*x2*x1*x2,
x5^2 ]
[ x4*x5^3, x2, x2*x1*x2*x3*x5*x3*x4*x5, x5*x3*x4*x5, x3*x4*x5*x3*x4*x5,
x1*x2*x1*x2, x5^2 ]
[ x2*x5^3, x2*x1*x2, x3, x3*x5*x3*x4*x5, x3*x4*x5*x3*x4*x5, x1*x2*x1*x2, x5^2
]
[ x4*x5^3, x2*x3*x5*x3*x4*x5, x2*x1*x2, x3, x3*x4*x5*x3*x4*x5, x1*x2*x1*x2,
x5^2 ]
[ x3*x5^3, x2*x3, x2*x1*x2, x3*x5*x3*x4*x5, x3*x4*x5*x3*x4*x5, x1*x2*x1*x2,
x5^2 ]
[ x4*x5^3, x2*x3*x5*x3*x4*x5, x2*x1*x2, x5*x3*x4*x5, x3*x4*x5*x3*x4*x5,
x1*x2*x1*x2, x5^2 ]
[ x2*x1*x2*x5^3, x1*x2, x3, x3*x5*x3*x4*x5, x3*x4*x5*x3*x4*x5, x1*x2*x1*x2,
x5^2 ]
[ x4*x5^3, x2*x3*x5*x3*x4*x5, x2*x1*x2*x3*x5*x3*x4*x5, x3, x3*x4*x5*x3*x4*x5,
x1*x2*x1*x2, x5^2 ]
[ x3*x5^3, x2*x3, x2*x1*x2*x3, x3*x5*x3*x4*x5, x3*x4*x5*x3*x4*x5,
x1*x2*x1*x2, x5^2 ]
[ x4*x5^3, x2*x3*x5*x3*x4*x5, x2*x1*x2*x3*x5*x3*x4*x5, x5*x3*x4*x5,
x3*x4*x5*x3*x4*x5, x1*x2*x1*x2, x5^2 ]
[ x5^3, x2, x2*x1*x2, x3, x3*x5*x3*x4*x5, x3*x4*x5*x3*x4*x5, x1*x2*x1*x2 ]
[ x3*x5*x3, x2, x1, x5*x3*x5, x4*x5*x4*x5, x1*x2*x1*x2, x3*x5*x3*x5 ]
[ x3*x5*x3, x2, x1, x5*x4*x5, x4*x5*x4*x5, x1*x2*x1*x2, x3*x5*x3*x5 ]
[ x3*x5*x3, x2, x1, x5*x3*x4*x5, x4*x5*x4*x5, x1*x2*x1*x2, x3*x5*x3*x5 ]
[ x3*x5*x3, x2, x5*x3*x5, x5*x4*x5, x4*x5*x4*x5, x1*x2*x1*x2, x3*x5*x3*x5 ]
[ x3*x5*x3, x2, x1*x5*x4*x5, x5*x3*x5, x4*x5*x4*x5, x1*x2*x1*x2, x3*x5*x3*x5 ]
[ x3*x5*x3, x2, x1*x5*x3*x5, x5*x4*x5, x4*x5*x4*x5, x1*x2*x1*x2, x3*x5*x3*x5 ]
[ x3*x5*x3, x2, x1*x5*x4*x5, x5*x3*x4*x5, x4*x5*x4*x5, x1*x2*x1*x2,
x3*x5*x3*x5 ]
[ x3*x5*x3, x1, x5*x3*x5, x5*x4*x5, x4*x5*x4*x5, x1*x2*x1*x2, x3*x5*x3*x5 ]
[ x3*x5*x3, x2*x5*x4*x5, x1, x5*x3*x5, x4*x5*x4*x5, x1*x2*x1*x2, x3*x5*x3*x5 ]
[ x3*x5*x3, x2*x5*x3*x5, x1, x5*x4*x5, x4*x5*x4*x5, x1*x2*x1*x2, x3*x5*x3*x5 ]
[ x3*x5*x3, x2*x5*x4*x5, x1, x5*x3*x4*x5, x4*x5*x4*x5, x1*x2*x1*x2,
x3*x5*x3*x5 ]
[ x3*x5*x3, x2*x1, x5*x3*x5, x5*x4*x5, x4*x5*x4*x5, x1*x2*x1*x2, x3*x5*x3*x5 ]
[ x3*x5*x3, x2*x5*x4*x5, x1*x5*x4*x5, x5*x3*x5, x4*x5*x4*x5, x1*x2*x1*x2,
x3*x5*x3*x5 ]
[ x3*x5*x3, x2*x5*x3*x5, x1*x5*x3*x5, x5*x4*x5, x4*x5*x4*x5, x1*x2*x1*x2,
x3*x5*x3*x5 ]
[ x3*x5*x3, x2*x5*x4*x5, x1*x5*x4*x5, x5*x3*x4*x5, x4*x5*x4*x5, x1*x2*x1*x2,
x3*x5*x3*x5 ]
[ x2, x1, x5*x3*x5, x5*x4*x5, x4*x5*x4*x5, x1*x2*x1*x2, x3*x5*x3*x5 ]
[ x3*x4*x5*x3, x2, x1, x5*x3*x5, x4*x5*x4*x5, x1*x2*x1*x2, x3*x5*x3*x5 ]
[ x3*x5*x3*x5*x3*x5, x2, x1, x5*x4*x5, x4*x5*x4*x5, x1*x2*x1*x2, x3*x5*x3*x5 ]
[ x3*x4*x5*x3, x2, x1, x5*x3*x4*x5, x4*x5*x4*x5, x1*x2*x1*x2, x3*x5*x3*x5 ]
[ x1*x3*x5*x3, x2, x5*x3*x5, x5*x4*x5, x4*x5*x4*x5, x1*x2*x1*x2, x3*x5*x3*x5 ]
[ x3*x4*x5*x3, x2, x1*x5*x4*x5, x5*x3*x5, x4*x5*x4*x5, x1*x2*x1*x2,
x3*x5*x3*x5 ]
[ x3*x5*x3*x5*x3*x5, x2, x1*x5*x3*x5, x5*x4*x5, x4*x5*x4*x5, x1*x2*x1*x2,
x3*x5*x3*x5 ]
[ x3*x4*x5*x3, x2, x1*x5*x4*x5, x5*x3*x4*x5, x4*x5*x4*x5, x1*x2*x1*x2,
x3*x5*x3*x5 ]
[ x2*x3*x5*x3, x1, x5*x3*x5, x5*x4*x5, x4*x5*x4*x5, x1*x2*x1*x2, x3*x5*x3*x5 ]
[ x3*x4*x5*x3, x2*x5*x4*x5, x1, x5*x3*x5, x4*x5*x4*x5, x1*x2*x1*x2,
x3*x5*x3*x5 ]
[ x3*x5*x3*x5*x3*x5, x2*x5*x3*x5, x1, x5*x4*x5, x4*x5*x4*x5, x1*x2*x1*x2,
x3*x5*x3*x5 ]
[ x3*x4*x5*x3, x2*x5*x4*x5, x1, x5*x3*x4*x5, x4*x5*x4*x5, x1*x2*x1*x2,
x3*x5*x3*x5 ]
[ x1*x3*x5*x3, x2*x1, x5*x3*x5, x5*x4*x5, x4*x5*x4*x5, x1*x2*x1*x2,
x3*x5*x3*x5 ]
[ x3*x4*x5*x3, x2*x5*x4*x5, x1*x5*x4*x5, x5*x3*x5, x4*x5*x4*x5, x1*x2*x1*x2,
x3*x5*x3*x5 ]
[ x3*x5*x3*x5*x3*x5, x2*x5*x3*x5, x1*x5*x3*x5, x5*x4*x5, x4*x5*x4*x5,
x1*x2*x1*x2, x3*x5*x3*x5 ]
[ x3*x4*x5*x3, x2*x5*x4*x5, x1*x5*x4*x5, x5*x3*x4*x5, x4*x5*x4*x5,
x1*x2*x1*x2, x3*x5*x3*x5 ]
[ x3*x5*x3, x2, x1, x5*x3*x5, x5*x4*x5, x4*x5*x4*x5, x1*x2*x1*x2 ]
[ x2*x5*x2*x5^2, x2, x1, x2*x3*x5*x2*x5, x4*x5*x4*x5, x1*x2*x1*x2,
x2*x5*x2*x5 ]
[ x2*x5*x2*x5^2, x2, x1, x2*x4*x5*x2*x5, x4*x5*x4*x5, x1*x2*x1*x2,
x2*x5*x2*x5 ]
[ x2*x5*x2*x5^2, x2, x1, x3*x4, x4*x5*x4*x5, x1*x2*x1*x2, x2*x5*x2*x5 ]
[ x2*x5*x2*x5^2, x2, x2*x3*x5*x2*x5, x2*x4*x5*x2*x5, x4*x5*x4*x5,
x1*x2*x1*x2, x2*x5*x2*x5 ]
[ x2*x5*x2*x5^2, x2, x1*x2*x4*x5*x2*x5, x2*x3*x5*x2*x5, x4*x5*x4*x5,
x1*x2*x1*x2, x2*x5*x2*x5 ]
[ x2*x5*x2*x5^2, x2, x1*x2*x3*x5*x2*x5, x2*x4*x5*x2*x5, x4*x5*x4*x5,
x1*x2*x1*x2, x2*x5*x2*x5 ]
[ x2*x5*x2*x5^2, x2, x1*x2*x4*x5*x2*x5, x3*x4, x4*x5*x4*x5, x1*x2*x1*x2,
x2*x5*x2*x5 ]
[ x2*x5*x2*x5^2, x1, x2*x3*x5*x2*x5, x2*x4*x5*x2*x5, x4*x5*x4*x5,
x1*x2*x1*x2, x2*x5*x2*x5 ]
[ x2*x5*x2*x5^2, x4*x5*x2*x5, x1, x2*x3*x5*x2*x5, x4*x5*x4*x5, x1*x2*x1*x2,
x2*x5*x2*x5 ]
[ x2*x5*x2*x5^2, x3*x5*x2*x5, x1, x2*x4*x5*x2*x5, x4*x5*x4*x5, x1*x2*x1*x2,
x2*x5*x2*x5 ]
[ x2*x5*x2*x5^2, x4*x5*x2*x5, x1, x3*x4, x4*x5*x4*x5, x1*x2*x1*x2,
x2*x5*x2*x5 ]
[ x2*x5*x2*x5^2, x2*x1, x2*x3*x5*x2*x5, x2*x4*x5*x2*x5, x4*x5*x4*x5,
x1*x2*x1*x2, x2*x5*x2*x5 ]
[ x2*x5*x2*x5^2, x4*x5*x2*x5, x1*x2*x4*x5*x2*x5, x2*x3*x5*x2*x5, x4*x5*x4*x5,
x1*x2*x1*x2, x2*x5*x2*x5 ]
[ x2*x5*x2*x5^2, x3*x5*x2*x5, x1*x2*x3*x5*x2*x5, x2*x4*x5*x2*x5, x4*x5*x4*x5,
x1*x2*x1*x2, x2*x5*x2*x5 ]
[ x2*x5*x2*x5^2, x4*x5*x2*x5, x1*x2*x4*x5*x2*x5, x3*x4, x4*x5*x4*x5,
x1*x2*x1*x2, x2*x5*x2*x5 ]
[ x2, x1, x2*x3*x5*x2*x5, x2*x4*x5*x2*x5, x4*x5*x4*x5, x1*x2*x1*x2,
x2*x5*x2*x5 ]
[ x5*x4, x2, x1, x2*x3*x5*x2*x5, x4*x5*x4*x5, x1*x2*x1*x2, x2*x5*x2*x5 ]
[ x5*x3, x2, x1, x2*x4*x5*x2*x5, x4*x5*x4*x5, x1*x2*x1*x2, x2*x5*x2*x5 ]
[ x5*x4, x2, x1, x3*x4, x4*x5*x4*x5, x1*x2*x1*x2, x2*x5*x2*x5 ]
[ x1*x2*x5*x2*x5^2, x2, x2*x3*x5*x2*x5, x2*x4*x5*x2*x5, x4*x5*x4*x5,
x1*x2*x1*x2, x2*x5*x2*x5 ]
[ x5*x4, x2, x1*x2*x4*x5*x2*x5, x2*x3*x5*x2*x5, x4*x5*x4*x5, x1*x2*x1*x2,
x2*x5*x2*x5 ]
[ x5*x3, x2, x1*x2*x3*x5*x2*x5, x2*x4*x5*x2*x5, x4*x5*x4*x5, x1*x2*x1*x2,
x2*x5*x2*x5 ]
[ x5*x4, x2, x1*x2*x4*x5*x2*x5, x3*x4, x4*x5*x4*x5, x1*x2*x1*x2, x2*x5*x2*x5 ]
[ x2*x5^3, x1, x2*x3*x5*x2*x5, x2*x4*x5*x2*x5, x4*x5*x4*x5, x1*x2*x1*x2,
x2*x5*x2*x5 ]
[ x5*x4, x4*x5*x2*x5, x1, x2*x3*x5*x2*x5, x4*x5*x4*x5, x1*x2*x1*x2,
x2*x5*x2*x5 ]
[ x5*x3, x3*x5*x2*x5, x1, x2*x4*x5*x2*x5, x4*x5*x4*x5, x1*x2*x1*x2,
x2*x5*x2*x5 ]
[ x5*x4, x4*x5*x2*x5, x1, x3*x4, x4*x5*x4*x5, x1*x2*x1*x2, x2*x5*x2*x5 ]
[ x1*x2*x5*x2*x5^2, x2*x1, x2*x3*x5*x2*x5, x2*x4*x5*x2*x5, x4*x5*x4*x5,
x1*x2*x1*x2, x2*x5*x2*x5 ]
[ x5*x4, x4*x5*x2*x5, x1*x2*x4*x5*x2*x5, x2*x3*x5*x2*x5, x4*x5*x4*x5,
x1*x2*x1*x2, x2*x5*x2*x5 ]
[ x5*x3, x3*x5*x2*x5, x1*x2*x3*x5*x2*x5, x2*x4*x5*x2*x5, x4*x5*x4*x5,
x1*x2*x1*x2, x2*x5*x2*x5 ]
[ x5*x4, x4*x5*x2*x5, x1*x2*x4*x5*x2*x5, x3*x4, x4*x5*x4*x5, x1*x2*x1*x2,
x2*x5*x2*x5 ]
[ x2*x5*x2*x5^2, x2, x1, x2*x3*x5*x2*x5, x2*x4*x5*x2*x5, x4*x5*x4*x5,
x1*x2*x1*x2 ]
[ x2*x1*x3*x4*x5^3, x4, x3, x2*x1*x2, x2*x3*x2*x3, x1*x2*x1*x2,
x1*x2*x1*x3*x2*x3*x5^2 ]
[ x2*x1*x3*x4*x5^3, x4, x3, x1*x2*x1*x2*x3*x2*x3, x2*x3*x2*x3, x1*x2*x1*x2,
x1*x2*x1*x3*x2*x3*x5^2 ]
[ x2*x1*x3*x4*x5^3, x4, x3, x1*x3*x2*x3, x2*x3*x2*x3, x1*x2*x1*x2,
x1*x2*x1*x3*x2*x3*x5^2 ]
[ x2*x1*x3*x4*x5^3, x4, x2*x1*x2, x1*x2*x1*x2*x3*x2*x3, x2*x3*x2*x3,
x1*x2*x1*x2, x1*x2*x1*x3*x2*x3*x5^2 ]
[ x2*x1*x3*x4*x5^3, x4, x1*x2*x1*x3, x2*x1*x2, x2*x3*x2*x3, x1*x2*x1*x2,
x1*x2*x1*x3*x2*x3*x5^2 ]
[ x2*x1*x3*x4*x5^3, x4, x2*x1*x2*x3, x1*x2*x1*x2*x3*x2*x3, x2*x3*x2*x3,
x1*x2*x1*x2, x1*x2*x1*x3*x2*x3*x5^2 ]
[ x2*x1*x3*x4*x5^3, x4, x1*x2*x1*x3, x1*x3*x2*x3, x2*x3*x2*x3, x1*x2*x1*x2,
x1*x2*x1*x3*x2*x3*x5^2 ]
[ x2*x1*x3*x4*x5^3, x3, x2*x1*x2, x1*x2*x1*x2*x3*x2*x3, x2*x3*x2*x3,
x1*x2*x1*x2, x1*x2*x1*x3*x2*x3*x5^2 ]
[ x2*x1*x3*x4*x5^3, x1*x2*x1*x2*x3*x2*x3*x4, x3, x2*x1*x2, x2*x3*x2*x3,
x1*x2*x1*x2, x1*x2*x1*x3*x2*x3*x5^2 ]
[ x2*x1*x3*x4*x5^3, x2*x1*x2*x4, x3, x1*x2*x1*x2*x3*x2*x3, x2*x3*x2*x3,
x1*x2*x1*x2, x1*x2*x1*x3*x2*x3*x5^2 ]
[ x2*x1*x3*x4*x5^3, x1*x2*x1*x2*x3*x2*x3*x4, x3, x1*x3*x2*x3, x2*x3*x2*x3,
x1*x2*x1*x2, x1*x2*x1*x3*x2*x3*x5^2 ]
[ x2*x1*x3*x4*x5^3, x3*x4, x2*x1*x2, x1*x2*x1*x2*x3*x2*x3, x2*x3*x2*x3,
x1*x2*x1*x2, x1*x2*x1*x3*x2*x3*x5^2 ]
[ x2*x1*x3*x4*x5^3, x1*x2*x1*x2*x3*x2*x3*x4, x1*x2*x1*x3, x2*x1*x2,
x2*x3*x2*x3, x1*x2*x1*x2, x1*x2*x1*x3*x2*x3*x5^2 ]
[ x2*x1*x3*x4*x5^3, x2*x1*x2*x4, x2*x1*x2*x3, x1*x2*x1*x2*x3*x2*x3,
x2*x3*x2*x3, x1*x2*x1*x2, x1*x2*x1*x3*x2*x3*x5^2 ]
[ x2*x1*x3*x4*x5^3, x1*x2*x1*x2*x3*x2*x3*x4, x1*x2*x1*x3, x1*x3*x2*x3,
x2*x3*x2*x3, x1*x2*x1*x2, x1*x2*x1*x3*x2*x3*x5^2 ]
[ x4, x3, x2*x1*x2, x1*x2*x1*x2*x3*x2*x3, x2*x3*x2*x3, x1*x2*x1*x2,
x1*x2*x1*x3*x2*x3*x5^2 ]
[ x2*x1*x3*x2*x4*x5^3, x4, x3, x2*x1*x2, x2*x3*x2*x3, x1*x2*x1*x2,
x1*x2*x1*x3*x2*x3*x5^2 ]
[ x3*x2*x4*x5^3, x4, x3, x1*x2*x1*x2*x3*x2*x3, x2*x3*x2*x3, x1*x2*x1*x2,
x1*x2*x1*x3*x2*x3*x5^2 ]
[ x2*x1*x3*x2*x4*x5^3, x4, x3, x1*x3*x2*x3, x2*x3*x2*x3, x1*x2*x1*x2,
x1*x2*x1*x3*x2*x3*x5^2 ]
[ x2*x1*x4*x5^3, x4, x2*x1*x2, x1*x2*x1*x2*x3*x2*x3, x2*x3*x2*x3,
x1*x2*x1*x2, x1*x2*x1*x3*x2*x3*x5^2 ]
[ x2*x1*x3*x2*x4*x5^3, x4, x1*x2*x1*x3, x2*x1*x2, x2*x3*x2*x3, x1*x2*x1*x2,
x1*x2*x1*x3*x2*x3*x5^2 ]
[ x3*x2*x4*x5^3, x4, x2*x1*x2*x3, x1*x2*x1*x2*x3*x2*x3, x2*x3*x2*x3,
x1*x2*x1*x2, x1*x2*x1*x3*x2*x3*x5^2 ]
[ x2*x1*x3*x2*x4*x5^3, x4, x1*x2*x1*x3, x1*x3*x2*x3, x2*x3*x2*x3,
x1*x2*x1*x2, x1*x2*x1*x3*x2*x3*x5^2 ]
[ x2*x1*x3*x5^3, x3, x2*x1*x2, x1*x2*x1*x2*x3*x2*x3, x2*x3*x2*x3,
x1*x2*x1*x2, x1*x2*x1*x3*x2*x3*x5^2 ]
[ x2*x1*x3*x2*x4*x5^3, x1*x2*x1*x2*x3*x2*x3*x4, x3, x2*x1*x2, x2*x3*x2*x3,
x1*x2*x1*x2, x1*x2*x1*x3*x2*x3*x5^2 ]
[ x3*x2*x4*x5^3, x2*x1*x2*x4, x3, x1*x2*x1*x2*x3*x2*x3, x2*x3*x2*x3,
x1*x2*x1*x2, x1*x2*x1*x3*x2*x3*x5^2 ]
[ x2*x1*x3*x2*x4*x5^3, x1*x2*x1*x2*x3*x2*x3*x4, x3, x1*x3*x2*x3, x2*x3*x2*x3,
x1*x2*x1*x2, x1*x2*x1*x3*x2*x3*x5^2 ]
[ x2*x1*x4*x5^3, x3*x4, x2*x1*x2, x1*x2*x1*x2*x3*x2*x3, x2*x3*x2*x3,
x1*x2*x1*x2, x1*x2*x1*x3*x2*x3*x5^2 ]
[ x2*x1*x3*x2*x4*x5^3, x1*x2*x1*x2*x3*x2*x3*x4, x1*x2*x1*x3, x2*x1*x2,
x2*x3*x2*x3, x1*x2*x1*x2, x1*x2*x1*x3*x2*x3*x5^2 ]
[ x3*x2*x4*x5^3, x2*x1*x2*x4, x2*x1*x2*x3, x1*x2*x1*x2*x3*x2*x3, x2*x3*x2*x3,
x1*x2*x1*x2, x1*x2*x1*x3*x2*x3*x5^2 ]
[ x2*x1*x3*x2*x4*x5^3, x1*x2*x1*x2*x3*x2*x3*x4, x1*x2*x1*x3, x1*x3*x2*x3,
x2*x3*x2*x3, x1*x2*x1*x2, x1*x2*x1*x3*x2*x3*x5^2 ]
[ x2*x1*x3*x4*x5^3, x4, x3, x2*x1*x2, x1*x2*x1*x2*x3*x2*x3, x2*x3*x2*x3,
x1*x2*x1*x2 ]
[ x1*x5*x1*x5^2, x1^3*x2*x5*x2*x5, x1^3*x2*x5*x1*x5, x3, x2*x5*x2*x5, x1^2,
x1*x5*x1*x5 ]
[ x1*x5*x1*x5^2, x1^3*x2*x5*x2*x5, x1^3*x2*x5*x1*x5, x2*x3*x4*x5^2,
x2*x5*x2*x5, x1^2, x1*x5*x1*x5 ]
[ x1*x5*x1*x5^2, x1^3*x2*x5*x2*x5, x1^3*x2*x5*x1*x5, x2*x4*x5^2, x2*x5*x2*x5,
x1^2, x1*x5*x1*x5 ]
[ x1*x5*x1*x5^2, x1^3*x2*x5*x2*x5, x3, x2*x3*x4*x5^2, x2*x5*x2*x5, x1^2,
x1*x5*x1*x5 ]
[ x1*x5*x1*x5^2, x1^3*x2*x5*x2*x5, x2*x3*x4*x5*x2*x5, x3, x2*x5*x2*x5, x1^2,
x1*x5*x1*x5 ]
[ x1*x5*x1*x5^2, x1^3*x2*x5*x2*x5, x1^3*x2*x3*x5*x1*x5, x2*x3*x4*x5^2,
x2*x5*x2*x5, x1^2, x1*x5*x1*x5 ]
[ x1*x5*x1*x5^2, x1^3*x2*x5*x2*x5, x2*x3*x4*x5*x2*x5, x2*x4*x5^2,
x2*x5*x2*x5, x1^2, x1*x5*x1*x5 ]
[ x1*x5*x1*x5^2, x1^3*x2*x5*x1*x5, x3, x2*x3*x4*x5^2, x2*x5*x2*x5, x1^2,
x1*x5*x1*x5 ]
[ x1*x5*x1*x5^2, x2*x3*x4*x5*x1*x5, x1^3*x2*x5*x1*x5, x3, x2*x5*x2*x5, x1^2,
x1*x5*x1*x5 ]
[ x1*x5*x1*x5^2, x1^3*x2*x3*x5*x2*x5, x1^3*x2*x5*x1*x5, x2*x3*x4*x5^2,
x2*x5*x2*x5, x1^2, x1*x5*x1*x5 ]
[ x1*x5*x1*x5^2, x2*x3*x4*x5*x1*x5, x1^3*x2*x5*x1*x5, x2*x4*x5^2,
x2*x5*x2*x5, x1^2, x1*x5*x1*x5 ]
[ x1*x5*x1*x5^2, x1^3*x2*x5^2, x3, x2*x3*x4*x5^2, x2*x5*x2*x5, x1^2,
x1*x5*x1*x5 ]
[ x1*x5*x1*x5^2, x2*x3*x4*x5*x1*x5, x2*x3*x4*x5*x2*x5, x3, x2*x5*x2*x5, x1^2,
x1*x5*x1*x5 ]
[ x1*x5*x1*x5^2, x1^3*x2*x3*x5*x2*x5, x1^3*x2*x3*x5*x1*x5, x2*x3*x4*x5^2,
x2*x5*x2*x5, x1^2, x1*x5*x1*x5 ]
[ x1*x5*x1*x5^2, x2*x3*x4*x5*x1*x5, x2*x3*x4*x5*x2*x5, x2*x4*x5^2,
x2*x5*x2*x5, x1^2, x1*x5*x1*x5 ]
[ x1^3*x2*x5*x2*x5, x1^3*x2*x5*x1*x5, x3, x2*x3*x4*x5^2, x2*x5*x2*x5, x1^2,
x1*x5*x1*x5 ]
[ x1^3*x3*x4*x5*x1*x2, x1^3*x2*x5*x2*x5, x1^3*x2*x5*x1*x5, x3, x2*x5*x2*x5,
x1^2, x1*x5*x1*x5 ]
[ x3*x5^3, x1^3*x2*x5*x2*x5, x1^3*x2*x5*x1*x5, x2*x3*x4*x5^2, x2*x5*x2*x5,
x1^2, x1*x5*x1*x5 ]
[ x1^3*x3*x4*x5*x1*x2, x1^3*x2*x5*x2*x5, x1^3*x2*x5*x1*x5, x2*x4*x5^2,
x2*x5*x2*x5, x1^2, x1*x5*x1*x5 ]
[ x5*x2, x1^3*x2*x5*x2*x5, x3, x2*x3*x4*x5^2, x2*x5*x2*x5, x1^2, x1*x5*x1*x5 ]
[ x1^3*x3*x4*x5*x1*x2, x1^3*x2*x5*x2*x5, x2*x3*x4*x5*x2*x5, x3, x2*x5*x2*x5,
x1^2, x1*x5*x1*x5 ]
[ x3*x5^3, x1^3*x2*x5*x2*x5, x1^3*x2*x3*x5*x1*x5, x2*x3*x4*x5^2, x2*x5*x2*x5,
x1^2, x1*x5*x1*x5 ]
[ x1^3*x3*x4*x5*x1*x2, x1^3*x2*x5*x2*x5, x2*x3*x4*x5*x2*x5, x2*x4*x5^2,
x2*x5*x2*x5, x1^2, x1*x5*x1*x5 ]
[ x1^2*x5*x1*x5^2, x1^3*x2*x5*x1*x5, x3, x2*x3*x4*x5^2, x2*x5*x2*x5, x1^2,
x1*x5*x1*x5 ]
[ x1^3*x3*x4*x5*x1*x2, x2*x3*x4*x5*x1*x5, x1^3*x2*x5*x1*x5, x3, x2*x5*x2*x5,
x1^2, x1*x5*x1*x5 ]
[ x3*x5^3, x1^3*x2*x3*x5*x2*x5, x1^3*x2*x5*x1*x5, x2*x3*x4*x5^2, x2*x5*x2*x5,
x1^2, x1*x5*x1*x5 ]
[ x1^3*x3*x4*x5*x1*x2, x2*x3*x4*x5*x1*x5, x1^3*x2*x5*x1*x5, x2*x4*x5^2,
x2*x5*x2*x5, x1^2, x1*x5*x1*x5 ]
[ x5*x2, x1^3*x2*x5^2, x3, x2*x3*x4*x5^2, x2*x5*x2*x5, x1^2, x1*x5*x1*x5 ]
[ x1^3*x3*x4*x5*x1*x2, x2*x3*x4*x5*x1*x5, x2*x3*x4*x5*x2*x5, x3, x2*x5*x2*x5,
x1^2, x1*x5*x1*x5 ]
[ x3*x5^3, x1^3*x2*x3*x5*x2*x5, x1^3*x2*x3*x5*x1*x5, x2*x3*x4*x5^2,
x2*x5*x2*x5, x1^2, x1*x5*x1*x5 ]
[ x1^3*x3*x4*x5*x1*x2, x2*x3*x4*x5*x1*x5, x2*x3*x4*x5*x2*x5, x2*x4*x5^2,
x2*x5*x2*x5, x1^2, x1*x5*x1*x5 ]
[ x1*x5*x1*x5^2, x1^3*x2*x5*x2*x5, x1^3*x2*x5*x1*x5, x3, x2*x3*x4*x5^2,
x2*x5*x2*x5, x1^2 ]
[ x5^3, x1*x2*x4*x1*x2, x1*x2, x1, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4, x5^2 ]
[ x5^3, x1*x2*x4*x1*x2, x1*x2, x3, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4, x5^2 ]
[ x5^3, x1*x2*x4*x1*x2, x1*x2, x1*x3, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4, x5^2 ]
[ x5^3, x1*x2*x4*x1*x2, x1, x3, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4, x5^2 ]
[ x5^3, x1*x2*x4*x1*x2, x1*x2*x3, x1, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4, x5^2 ]
[ x5^3, x1*x2*x4*x1*x2, x2, x3, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4, x5^2 ]
[ x5^3, x1*x2*x4*x1*x2, x1*x2*x3, x1*x3, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4, x5^2
]
[ x5^3, x1*x2, x1, x3, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4, x5^2 ]
[ x5^3, x1*x2*x3*x4*x1*x2, x1*x2, x1, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4, x5^2 ]
[ x5^3, x1*x2*x4*x2, x1*x2, x3, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4, x5^2 ]
[ x5^3, x1*x2*x3*x4*x1*x2, x1*x2, x1*x3, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4, x5^2
]
[ x5^3, x1*x2*x4, x1, x3, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4, x5^2 ]
[ x5^3, x1*x2*x3*x4*x1*x2, x1*x2*x3, x1, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4, x5^2
]
[ x5^3, x1*x2*x4*x2, x2, x3, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4, x5^2 ]
[ x5^3, x1*x2*x3*x4*x1*x2, x1*x2*x3, x1*x3, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4,
x5^2 ]
[ x1*x2*x4*x1*x2, x1*x2, x1, x3, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4, x5^2 ]
[ x3*x5^3, x1*x2*x4*x1*x2, x1*x2, x1, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4, x5^2 ]
[ x1*x5^3, x1*x2*x4*x1*x2, x1*x2, x3, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4, x5^2 ]
[ x3*x5^3, x1*x2*x4*x1*x2, x1*x2, x1*x3, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4, x5^2
]
[ x4*x1*x2*x4*x5^3, x1*x2*x4*x1*x2, x1, x3, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4,
x5^2 ]
[ x3*x5^3, x1*x2*x4*x1*x2, x1*x2*x3, x1, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4, x5^2
]
[ x1*x5^3, x1*x2*x4*x1*x2, x2, x3, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4, x5^2 ]
[ x3*x5^3, x1*x2*x4*x1*x2, x1*x2*x3, x1*x3, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4,
x5^2 ]
[ x1*x2*x4*x1*x2*x5^3, x1*x2, x1, x3, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4, x5^2 ]
[ x3*x5^3, x1*x2*x3*x4*x1*x2, x1*x2, x1, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4, x5^2
]
[ x1*x5^3, x1*x2*x4*x2, x1*x2, x3, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4, x5^2 ]
[ x3*x5^3, x1*x2*x3*x4*x1*x2, x1*x2, x1*x3, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4,
x5^2 ]
[ x4*x1*x2*x4*x5^3, x1*x2*x4, x1, x3, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4, x5^2 ]
[ x3*x5^3, x1*x2*x3*x4*x1*x2, x1*x2*x3, x1, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4,
x5^2 ]
[ x1*x5^3, x1*x2*x4*x2, x2, x3, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4, x5^2 ]
[ x3*x5^3, x1*x2*x3*x4*x1*x2, x1*x2*x3, x1*x3, x1*x2*x4*x1*x2*x4,
x1*x4*x1*x4, x5^2 ]
[ x5^3, x1*x2*x4*x1*x2, x1*x2, x1, x3, x1*x2*x4*x1*x2*x4, x1*x4*x1*x4 ]
[ x1*x5*x1*x5^2, x1^2*x3*x5*x1*x3*x5, x2, x1*x5*x1*x5*x3, x1^3*x3*x5*x1*x3*x5,
x1^2, x1*x5*x1*x5 ]
[ x1*x5*x1*x5^2, x1^2*x3*x5*x1*x3*x5, x2, x2*x3*x4*x5^2*x3,
x1^3*x3*x5*x1*x3*x5, x1^2, x1*x5*x1*x5 ]
[ x1*x5*x1*x5^2, x1^2*x3*x5*x1*x3*x5, x2, x1^3*x2*x4*x5*x1*x3*x5,
x1^3*x3*x5*x1*x3*x5, x1^2, x1*x5*x1*x5 ]
[ x1*x5*x1*x5^2, x1^2*x3*x5*x1*x3*x5, x1*x5*x1*x5*x3, x2*x3*x4*x5^2*x3,
x1^3*x3*x5*x1*x3*x5, x1^2, x1*x5*x1*x5 ]
[ x1*x5*x1*x5^2, x1^2*x3*x5*x1*x3*x5, x3*x4*x5^2*x3, x1*x5*x1*x5*x3,
x1^3*x3*x5*x1*x3*x5, x1^2, x1*x5*x1*x5 ]
[ x1*x5*x1*x5^2, x1^2*x3*x5*x1*x3*x5, x1*x2*x5*x1*x5*x3, x2*x3*x4*x5^2*x3,
x1^3*x3*x5*x1*x3*x5, x1^2, x1*x5*x1*x5 ]
[ x1*x5*x1*x5^2, x1^2*x3*x5*x1*x3*x5, x3*x4*x5^2*x3, x1^3*x2*x4*x5*x1*x3*x5,
x1^3*x3*x5*x1*x3*x5, x1^2, x1*x5*x1*x5 ]
[ x1*x5*x1*x5^2, x2, x1*x5*x1*x5*x3, x2*x3*x4*x5^2*x3, x1^3*x3*x5*x1*x3*x5,
x1^2, x1*x5*x1*x5 ]
[ x1*x5*x1*x5^2, x2*x3*x4*x5*x1*x5*x3, x2, x1*x5*x1*x5*x3,
x1^3*x3*x5*x1*x3*x5, x1^2, x1*x5*x1*x5 ]
[ x1*x5*x1*x5^2, x1^3*x5^2*x3, x2, x2*x3*x4*x5^2*x3, x1^3*x3*x5*x1*x3*x5,
x1^2, x1*x5*x1*x5 ]
[ x1*x5*x1*x5^2, x2*x3*x4*x5*x1*x5*x3, x2, x1^3*x2*x4*x5*x1*x3*x5,
x1^3*x3*x5*x1*x3*x5, x1^2, x1*x5*x1*x5 ]
[ x1*x5*x1*x5^2, x1^2*x2*x3*x5*x1*x3*x5, x1*x5*x1*x5*x3, x2*x3*x4*x5^2*x3,
x1^3*x3*x5*x1*x3*x5, x1^2, x1*x5*x1*x5 ]
[ x1*x5*x1*x5^2, x2*x3*x4*x5*x1*x5*x3, x3*x4*x5^2*x3, x1*x5*x1*x5*x3,
x1^3*x3*x5*x1*x3*x5, x1^2, x1*x5*x1*x5 ]
[ x1*x5*x1*x5^2, x1^3*x5^2*x3, x1*x2*x5*x1*x5*x3, x2*x3*x4*x5^2*x3,
x1^3*x3*x5*x1*x3*x5, x1^2, x1*x5*x1*x5 ]
[ x1*x5*x1*x5^2, x2*x3*x4*x5*x1*x5*x3, x3*x4*x5^2*x3, x1^3*x2*x4*x5*x1*x3*x5,
x1^3*x3*x5*x1*x3*x5, x1^2, x1*x5*x1*x5 ]
[ x1^2*x3*x5*x1*x3*x5, x2, x1*x5*x1*x5*x3, x2*x3*x4*x5^2*x3,
x1^3*x3*x5*x1*x3*x5, x1^2, x1*x5*x1*x5 ]
[ x1^3*x2*x4*x5*x1, x1^2*x3*x5*x1*x3*x5, x2, x1*x5*x1*x5*x3,
x1^3*x3*x5*x1*x3*x5, x1^2, x1*x5*x1*x5 ]
[ x1^3*x3*x5*x1, x1^2*x3*x5*x1*x3*x5, x2, x2*x3*x4*x5^2*x3,
x1^3*x3*x5*x1*x3*x5, x1^2, x1*x5*x1*x5 ]
[ x1^3*x2*x4*x5*x1, x1^2*x3*x5*x1*x3*x5, x2, x1^3*x2*x4*x5*x1*x3*x5,
x1^3*x3*x5*x1*x3*x5, x1^2, x1*x5*x1*x5 ]
[ x2*x5^3, x1^2*x3*x5*x1*x3*x5, x1*x5*x1*x5*x3, x2*x3*x4*x5^2*x3,
x1^3*x3*x5*x1*x3*x5, x1^2, x1*x5*x1*x5 ]
[ x1^3*x2*x4*x5*x1, x1^2*x3*x5*x1*x3*x5, x3*x4*x5^2*x3, x1*x5*x1*x5*x3,
x1^3*x3*x5*x1*x3*x5, x1^2, x1*x5*x1*x5 ]
[ x1^3*x3*x5*x1, x1^2*x3*x5*x1*x3*x5, x1*x2*x5*x1*x5*x3, x2*x3*x4*x5^2*x3,
x1^3*x3*x5*x1*x3*x5, x1^2, x1*x5*x1*x5 ]
[ x1^3*x2*x4*x5*x1, x1^2*x3*x5*x1*x3*x5, x3*x4*x5^2*x3,
x1^3*x2*x4*x5*x1*x3*x5, x1^3*x3*x5*x1*x3*x5, x1^2, x1*x5*x1*x5 ]
[ x1^2*x5*x1*x5^2, x2, x1*x5*x1*x5*x3, x2*x3*x4*x5^2*x3, x1^3*x3*x5*x1*x3*x5,
x1^2, x1*x5*x1*x5 ]
[ x1^3*x2*x4*x5*x1, x2*x3*x4*x5*x1*x5*x3, x2, x1*x5*x1*x5*x3,
x1^3*x3*x5*x1*x3*x5, x1^2, x1*x5*x1*x5 ]
[ x1^3*x3*x5*x1, x1^3*x5^2*x3, x2, x2*x3*x4*x5^2*x3, x1^3*x3*x5*x1*x3*x5,
x1^2, x1*x5*x1*x5 ]
[ x1^3*x2*x4*x5*x1, x2*x3*x4*x5*x1*x5*x3, x2, x1^3*x2*x4*x5*x1*x3*x5,
x1^3*x3*x5*x1*x3*x5, x1^2, x1*x5*x1*x5 ]
[ x2*x5^3, x1^2*x2*x3*x5*x1*x3*x5, x1*x5*x1*x5*x3, x2*x3*x4*x5^2*x3,
x1^3*x3*x5*x1*x3*x5, x1^2, x1*x5*x1*x5 ]
[ x1^3*x2*x4*x5*x1, x2*x3*x4*x5*x1*x5*x3, x3*x4*x5^2*x3, x1*x5*x1*x5*x3,
x1^3*x3*x5*x1*x3*x5, x1^2, x1*x5*x1*x5 ]
[ x1^3*x3*x5*x1, x1^3*x5^2*x3, x1*x2*x5*x1*x5*x3, x2*x3*x4*x5^2*x3,
x1^3*x3*x5*x1*x3*x5, x1^2, x1*x5*x1*x5 ]
[ x1^3*x2*x4*x5*x1, x2*x3*x4*x5*x1*x5*x3, x3*x4*x5^2*x3,
x1^3*x2*x4*x5*x1*x3*x5, x1^3*x3*x5*x1*x3*x5, x1^2, x1*x5*x1*x5 ]
[ x1*x5*x1*x5^2, x1^2*x3*x5*x1*x3*x5, x2, x1*x5*x1*x5*x3, x2*x3*x4*x5^2*x3,
x1^3*x3*x5*x1*x3*x5, x1^2 ]
[ x5^3, x1*x2*x3*x1*x2*x3*x4, x3, x3*x1*x3, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3,
x5^2 ]
[ x5^3, x1*x2*x3*x1*x2*x3*x4, x3, x3*x1*x2*x3, x1*x2*x3*x1*x2*x3,
x1*x3*x1*x3, x5^2 ]
[ x5^3, x1*x2*x3*x1*x2*x3*x4, x3, x3*x2*x3, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3,
x5^2 ]
[ x5^3, x1*x2*x3*x1*x2*x3*x4, x3*x1*x3, x3*x1*x2*x3, x1*x2*x3*x1*x2*x3,
x1*x3*x1*x3, x5^2 ]
[ x5^3, x1*x2*x3*x1*x2*x3*x4, x1*x2*x3, x3*x1*x3, x1*x2*x3*x1*x2*x3,
x1*x3*x1*x3, x5^2 ]
[ x5^3, x1*x2*x3*x1*x2*x3*x4, x1*x3, x3*x1*x2*x3, x1*x2*x3*x1*x2*x3,
x1*x3*x1*x3, x5^2 ]
[ x5^3, x1*x2*x3*x1*x2*x3*x4, x1*x2*x3, x3*x2*x3, x1*x2*x3*x1*x2*x3,
x1*x3*x1*x3, x5^2 ]
[ x5^3, x3, x3*x1*x3, x3*x1*x2*x3, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3, x5^2 ]
[ x5^3, x3*x1*x2*x3*x4, x3, x3*x1*x3, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3, x5^2 ]
[ x5^3, x2*x3*x1*x2*x3*x4, x3, x3*x1*x2*x3, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3,
x5^2 ]
[ x5^3, x3*x1*x2*x3*x4, x3, x3*x2*x3, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3, x5^2 ]
[ x5^3, x1*x2*x3*x1*x2*x4, x3*x1*x3, x3*x1*x2*x3, x1*x2*x3*x1*x2*x3,
x1*x3*x1*x3, x5^2 ]
[ x5^3, x3*x1*x2*x3*x4, x1*x2*x3, x3*x1*x3, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3,
x5^2 ]
[ x5^3, x2*x3*x1*x2*x3*x4, x1*x3, x3*x1*x2*x3, x1*x2*x3*x1*x2*x3,
x1*x3*x1*x3, x5^2 ]
[ x5^3, x3*x1*x2*x3*x4, x1*x2*x3, x3*x2*x3, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3,
x5^2 ]
[ x1*x2*x3*x1*x2*x3*x4, x3, x3*x1*x3, x3*x1*x2*x3, x1*x2*x3*x1*x2*x3,
x1*x3*x1*x3, x5^2 ]
[ x1*x2*x5^3, x1*x2*x3*x1*x2*x3*x4, x3, x3*x1*x3, x1*x2*x3*x1*x2*x3,
x1*x3*x1*x3, x5^2 ]
[ x3*x1*x3*x5^3, x1*x2*x3*x1*x2*x3*x4, x3, x3*x1*x2*x3, x1*x2*x3*x1*x2*x3,
x1*x3*x1*x3, x5^2 ]
[ x1*x2*x5^3, x1*x2*x3*x1*x2*x3*x4, x3, x3*x2*x3, x1*x2*x3*x1*x2*x3,
x1*x3*x1*x3, x5^2 ]
[ x3*x5^3, x1*x2*x3*x1*x2*x3*x4, x3*x1*x3, x3*x1*x2*x3, x1*x2*x3*x1*x2*x3,
x1*x3*x1*x3, x5^2 ]
[ x1*x2*x5^3, x1*x2*x3*x1*x2*x3*x4, x1*x2*x3, x3*x1*x3, x1*x2*x3*x1*x2*x3,
x1*x3*x1*x3, x5^2 ]
[ x3*x1*x3*x5^3, x1*x2*x3*x1*x2*x3*x4, x1*x3, x3*x1*x2*x3, x1*x2*x3*x1*x2*x3,
x1*x3*x1*x3, x5^2 ]
[ x1*x2*x5^3, x1*x2*x3*x1*x2*x3*x4, x1*x2*x3, x3*x2*x3, x1*x2*x3*x1*x2*x3,
x1*x3*x1*x3, x5^2 ]
[ x1*x2*x3*x1*x2*x3*x4*x5^3, x3, x3*x1*x3, x3*x1*x2*x3, x1*x2*x3*x1*x2*x3,
x1*x3*x1*x3, x5^2 ]
[ x1*x2*x5^3, x3*x1*x2*x3*x4, x3, x3*x1*x3, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3,
x5^2 ]
[ x3*x1*x3*x5^3, x2*x3*x1*x2*x3*x4, x3, x3*x1*x2*x3, x1*x2*x3*x1*x2*x3,
x1*x3*x1*x3, x5^2 ]
[ x1*x2*x5^3, x3*x1*x2*x3*x4, x3, x3*x2*x3, x1*x2*x3*x1*x2*x3, x1*x3*x1*x3,
x5^2 ]
[ x3*x5^3, x1*x2*x3*x1*x2*x4, x3*x1*x3, x3*x1*x2*x3, x1*x2*x3*x1*x2*x3,
x1*x3*x1*x3, x5^2 ]
[ x1*x2*x5^3, x3*x1*x2*x3*x4, x1*x2*x3, x3*x1*x3, x1*x2*x3*x1*x2*x3,
x1*x3*x1*x3, x5^2 ]
[ x3*x1*x3*x5^3, x2*x3*x1*x2*x3*x4, x1*x3, x3*x1*x2*x3, x1*x2*x3*x1*x2*x3,
x1*x3*x1*x3, x5^2 ]
[ x1*x2*x5^3, x3*x1*x2*x3*x4, x1*x2*x3, x3*x2*x3, x1*x2*x3*x1*x2*x3,
x1*x3*x1*x3, x5^2 ]
[ x5^3, x1*x2*x3*x1*x2*x3*x4, x3, x3*x1*x3, x3*x1*x2*x3, x1*x2*x3*x1*x2*x3,
x1*x3*x1*x3 ]
[ x5^3, x5^2*x1, x2*x1, x1*x5*x3*x5, x3*x5*x3*x5, x1*x2*x1*x2, x5^2 ]
[ x5^3, x5^2*x1, x2*x1, x2*x1*x4*x5^2*x1, x3*x5*x3*x5, x1*x2*x1*x2, x5^2 ]
[ x5^3, x5^2*x1, x2*x1, x2*x1*x4*x5*x1*x3*x5*x1, x3*x5*x3*x5, x1*x2*x1*x2,
x5^2 ]
[ x5^3, x5^2*x1, x1*x5*x3*x5, x2*x1*x4*x5^2*x1, x3*x5*x3*x5, x1*x2*x1*x2,
x5^2 ]
[ x5^3, x5^2*x1, x1*x2*x1*x2*x4*x5^2*x1, x1*x5*x3*x5, x3*x5*x3*x5,
x1*x2*x1*x2, x5^2 ]
[ x5^3, x5^2*x1, x2*x5*x3*x5, x2*x1*x4*x5^2*x1, x3*x5*x3*x5, x1*x2*x1*x2,
x5^2 ]
[ x5^3, x5^2*x1, x1*x2*x1*x2*x4*x5^2*x1, x2*x1*x4*x5*x1*x3*x5*x1,
x3*x5*x3*x5, x1*x2*x1*x2, x5^2 ]
[ x5^3, x2*x1, x1*x5*x3*x5, x2*x1*x4*x5^2*x1, x3*x5*x3*x5, x1*x2*x1*x2, x5^2 ]
[ x5^3, x1*x2*x4, x2*x1, x1*x5*x3*x5, x3*x5*x3*x5, x1*x2*x1*x2, x5^2 ]
[ x5^3, x5*x1*x3*x5*x1, x2*x1, x2*x1*x4*x5^2*x1, x3*x5*x3*x5, x1*x2*x1*x2,
x5^2 ]
[ x5^3, x1*x2*x4, x2*x1, x2*x1*x4*x5*x1*x3*x5*x1, x3*x5*x3*x5, x1*x2*x1*x2,
x5^2 ]
[ x5^3, x1*x2*x5^2*x1, x1*x5*x3*x5, x2*x1*x4*x5^2*x1, x3*x5*x3*x5,
x1*x2*x1*x2, x5^2 ]
[ x5^3, x1*x2*x4, x1*x2*x1*x2*x4*x5^2*x1, x1*x5*x3*x5, x3*x5*x3*x5,
x1*x2*x1*x2, x5^2 ]
[ x5^3, x5*x1*x3*x5*x1, x2*x5*x3*x5, x2*x1*x4*x5^2*x1, x3*x5*x3*x5,
x1*x2*x1*x2, x5^2 ]
[ x5^3, x1*x2*x4, x1*x2*x1*x2*x4*x5^2*x1, x2*x1*x4*x5*x1*x3*x5*x1,
x3*x5*x3*x5, x1*x2*x1*x2, x5^2 ]
[ x5^2*x1, x2*x1, x1*x5*x3*x5, x2*x1*x4*x5^2*x1, x3*x5*x3*x5, x1*x2*x1*x2,
x5^2 ]
[ x2*x4*x5, x5^2*x1, x2*x1, x1*x5*x3*x5, x3*x5*x3*x5, x1*x2*x1*x2, x5^2 ]
[ x1*x3*x5^3, x5^2*x1, x2*x1, x2*x1*x4*x5^2*x1, x3*x5*x3*x5, x1*x2*x1*x2,
x5^2 ]
[ x2*x4*x5, x5^2*x1, x2*x1, x2*x1*x4*x5*x1*x3*x5*x1, x3*x5*x3*x5,
x1*x2*x1*x2, x5^2 ]
[ x2*x1*x5^3, x5^2*x1, x1*x5*x3*x5, x2*x1*x4*x5^2*x1, x3*x5*x3*x5,
x1*x2*x1*x2, x5^2 ]
[ x2*x4*x5, x5^2*x1, x1*x2*x1*x2*x4*x5^2*x1, x1*x5*x3*x5, x3*x5*x3*x5,
x1*x2*x1*x2, x5^2 ]
[ x1*x3*x5^3, x5^2*x1, x2*x5*x3*x5, x2*x1*x4*x5^2*x1, x3*x5*x3*x5,
x1*x2*x1*x2, x5^2 ]
[ x2*x4*x5, x5^2*x1, x1*x2*x1*x2*x4*x5^2*x1, x2*x1*x4*x5*x1*x3*x5*x1,
x3*x5*x3*x5, x1*x2*x1*x2, x5^2 ]
[ x1*x5, x2*x1, x1*x5*x3*x5, x2*x1*x4*x5^2*x1, x3*x5*x3*x5, x1*x2*x1*x2, x5^2
]
[ x2*x4*x5, x1*x2*x4, x2*x1, x1*x5*x3*x5, x3*x5*x3*x5, x1*x2*x1*x2, x5^2 ]
[ x1*x3*x5^3, x5*x1*x3*x5*x1, x2*x1, x2*x1*x4*x5^2*x1, x3*x5*x3*x5,
x1*x2*x1*x2, x5^2 ]
[ x2*x4*x5, x1*x2*x4, x2*x1, x2*x1*x4*x5*x1*x3*x5*x1, x3*x5*x3*x5,
x1*x2*x1*x2, x5^2 ]
[ x2*x1*x5^3, x1*x2*x5^2*x1, x1*x5*x3*x5, x2*x1*x4*x5^2*x1, x3*x5*x3*x5,
x1*x2*x1*x2, x5^2 ]
[ x2*x4*x5, x1*x2*x4, x1*x2*x1*x2*x4*x5^2*x1, x1*x5*x3*x5, x3*x5*x3*x5,
x1*x2*x1*x2, x5^2 ]
[ x1*x3*x5^3, x5*x1*x3*x5*x1, x2*x5*x3*x5, x2*x1*x4*x5^2*x1, x3*x5*x3*x5,
x1*x2*x1*x2, x5^2 ]
[ x2*x4*x5, x1*x2*x4, x1*x2*x1*x2*x4*x5^2*x1, x2*x1*x4*x5*x1*x3*x5*x1,
x3*x5*x3*x5, x1*x2*x1*x2, x5^2 ]
[ x5^3, x5^2*x1, x2*x1, x1*x5*x3*x5, x2*x1*x4*x5^2*x1, x3*x5*x3*x5,
x1*x2*x1*x2 ]
[ x5^3, x2*x3^2*x4, x1*x3, x2*x1*x2, x3^2, x1*x2*x1*x2, x5^2 ]
[ x5^3, x2*x3^2*x4, x1*x3, x2, x3^2, x1*x2*x1*x2, x5^2 ]
[ x5^3, x2*x3^2*x4, x1*x3, x2*x1, x3^2, x1*x2*x1*x2, x5^2 ]
[ x5^3, x2*x3^2*x4, x2*x1*x2, x2, x3^2, x1*x2*x1*x2, x5^2 ]
[ x5^3, x2*x3^2*x4, x1*x3*x2, x2*x1*x2, x3^2, x1*x2*x1*x2, x5^2 ]
[ x5^3, x2*x3^2*x4, x1*x2*x1*x2*x3, x2, x3^2, x1*x2*x1*x2, x5^2 ]
[ x5^3, x2*x3^2*x4, x1*x3*x2, x2*x1, x3^2, x1*x2*x1*x2, x5^2 ]
[ x5^3, x1*x3, x2*x1*x2, x2, x3^2, x1*x2*x1*x2, x5^2 ]
[ x5^3, x3^2*x4, x1*x3, x2*x1*x2, x3^2, x1*x2*x1*x2, x5^2 ]
[ x5^3, x2*x1*x3^2*x4, x1*x3, x2, x3^2, x1*x2*x1*x2, x5^2 ]
[ x5^3, x3^2*x4, x1*x3, x2*x1, x3^2, x1*x2*x1*x2, x5^2 ]
[ x5^3, x2*x1*x3*x4, x2*x1*x2, x2, x3^2, x1*x2*x1*x2, x5^2 ]
[ x5^3, x3^2*x4, x1*x3*x2, x2*x1*x2, x3^2, x1*x2*x1*x2, x5^2 ]
[ x5^3, x2*x1*x3^2*x4, x1*x2*x1*x2*x3, x2, x3^2, x1*x2*x1*x2, x5^2 ]
[ x5^3, x3^2*x4, x1*x3*x2, x2*x1, x3^2, x1*x2*x1*x2, x5^2 ]
[ x2*x3^2*x4, x1*x3, x2*x1*x2, x2, x3^2, x1*x2*x1*x2, x5^2 ]
[ x2*x5^3, x2*x3^2*x4, x1*x3, x2*x1*x2, x3^2, x1*x2*x1*x2, x5^2 ]
[ x1*x5^3, x2*x3^2*x4, x1*x3, x2, x3^2, x1*x2*x1*x2, x5^2 ]
[ x2*x5^3, x2*x3^2*x4, x1*x3, x2*x1, x3^2, x1*x2*x1*x2, x5^2 ]
[ x1*x3*x5^3, x2*x3^2*x4, x2*x1*x2, x2, x3^2, x1*x2*x1*x2, x5^2 ]
[ x2*x5^3, x2*x3^2*x4, x1*x3*x2, x2*x1*x2, x3^2, x1*x2*x1*x2, x5^2 ]
[ x1*x5^3, x2*x3^2*x4, x1*x2*x1*x2*x3, x2, x3^2, x1*x2*x1*x2, x5^2 ]
[ x2*x5^3, x2*x3^2*x4, x1*x3*x2, x2*x1, x3^2, x1*x2*x1*x2, x5^2 ]
[ x2*x3^2*x4*x5^3, x1*x3, x2*x1*x2, x2, x3^2, x1*x2*x1*x2, x5^2 ]
[ x2*x5^3, x3^2*x4, x1*x3, x2*x1*x2, x3^2, x1*x2*x1*x2, x5^2 ]
[ x1*x5^3, x2*x1*x3^2*x4, x1*x3, x2, x3^2, x1*x2*x1*x2, x5^2 ]
[ x2*x5^3, x3^2*x4, x1*x3, x2*x1, x3^2, x1*x2*x1*x2, x5^2 ]
[ x1*x3*x5^3, x2*x1*x3*x4, x2*x1*x2, x2, x3^2, x1*x2*x1*x2, x5^2 ]
[ x2*x5^3, x3^2*x4, x1*x3*x2, x2*x1*x2, x3^2, x1*x2*x1*x2, x5^2 ]
[ x1*x5^3, x2*x1*x3^2*x4, x1*x2*x1*x2*x3, x2, x3^2, x1*x2*x1*x2, x5^2 ]
[ x2*x5^3, x3^2*x4, x1*x3*x2, x2*x1, x3^2, x1*x2*x1*x2, x5^2 ]
[ x5^3, x2*x3^2*x4, x1*x3, x2*x1*x2, x2, x3^2, x1*x2*x1*x2 ]
[ x2^3, x2^4, x2^6, x1^2 ]
[ x1, x2^4, x2^6, x1^2 ]
[ x1*x2^3, x2^4, x2^6, x1^2 ]
[ x2^3, x1, x2^6, x1^2 ]
[ x2^9, x2^8, x2^6, x1^2 ]
[ x1, x2^8, x2^6, x1^2 ]
[ x1*x2^9, x2^8, x2^6, x1^2 ]
[ x2^9, x1, x2^6, x1^2 ]
[ x2^9, x2^8, x2^6, x1^2 ]
[ x1, x2^8, x2^6, x1^2 ]
[ x1*x2^9, x2^8, x2^6, x1^2 ]
[ x2^9, x1, x2^6, x1^2 ]
[ x2^9, x2^8, x2^6, x1*x2*x1*x2^11 ]
[ x2*x1*x2^11, x2^8, x2^6, x1*x2*x1*x2^11 ]
[ x1*x2^9, x2^8, x2^6, x1*x2*x1*x2^11 ]
[ x2^9, x2*x1*x2^11, x2^6, x1*x2*x1*x2^11 ]
[ x2^9, x2^8, x2^6, x1*x2*x1*x2^11 ]
[ x2*x1*x2^11, x2^8, x2^6, x1*x2*x1*x2^11 ]
[ x1*x2^9, x2^8, x2^6, x1*x2*x1*x2^11 ]
[ x2^9, x2*x1*x2^11, x2^6, x1*x2*x1*x2^11 ]
[ x2^9, x2^8, x2^6, x1*x2*x1*x2^11 ]
[ x2*x1*x2^11, x2^8, x2^6, x1*x2*x1*x2^11 ]
[ x1*x2^9, x2^8, x2^6, x1*x2*x1*x2^11 ]
[ x2^9, x2*x1*x2^11, x2^6, x1*x2*x1*x2^11 ]
[ x2^9, x2^8, x2^6, x1*x2*x1*x2^11 ]
[ x2*x1*x2^11, x2^8, x2^6, x1*x2*x1*x2^11 ]
[ x1*x2^9, x2^8, x2^6, x1*x2*x1*x2^11 ]
[ x2^9, x2*x1*x2^11, x2^6, x1*x2*x1*x2^11 ]
[ x2*x1*x2^2, x1^3*x2*x1*x2, x1^2, x2^6 ]
[ x1*x2^6, x1^3*x2*x1*x2, x1^2, x2^6 ]
[ x1*x2*x1*x2^2, x1^3*x2*x1*x2, x1^2, x2^6 ]
[ x2*x1*x2^2, x1*x2^6, x1^2, x2^6 ]
[ x2*x1*x2^2, x1^3*x2*x1*x2, x1^2, x2^6 ]
[ x1*x2^6, x1^3*x2*x1*x2, x1^2, x2^6 ]
[ x1*x2*x1*x2^2, x1^3*x2*x1*x2, x1^2, x2^6 ]
[ x2*x1*x2^2, x1*x2^6, x1^2, x2^6 ]
[ x2*x1*x2^2, x1^3*x2*x1*x2, x1^2, x2^6 ]
[ x1, x1^3*x2*x1*x2, x1^2, x2^6 ]
[ x1^2*x2^3, x1^3*x2*x1*x2, x1^2, x2^6 ]
[ x2*x1*x2^2, x1, x1^2, x2^6 ]
[ x3^9, x2, x3^8, x3^6 ]
[ x3^9, x1, x3^8, x3^6 ]
[ x3^9, x1*x2, x3^8, x3^6 ]
[ x2, x1, x3^8, x3^6 ]
[ x1*x3^9, x2, x3^8, x3^6 ]
[ x2*x3^9, x1, x3^8, x3^6 ]
[ x1*x3^9, x1*x2, x3^8, x3^6 ]
[ x3^9, x2, x1, x3^6 ]
[ x3^3, x2, x3^4, x1*x2*x1*x2 ]
[ x3^3, x2*x1*x2, x3^4, x1*x2*x1*x2 ]
[ x3^3, x1*x2, x3^4, x1*x2*x1*x2 ]
[ x2, x2*x1*x2, x3^4, x1*x2*x1*x2 ]
[ x2*x1*x2*x3^3, x2, x3^4, x1*x2*x1*x2 ]
[ x2*x3^3, x2*x1*x2, x3^4, x1*x2*x1*x2 ]
[ x2*x1*x2*x3^3, x1*x2, x3^4, x1*x2*x1*x2 ]
[ x3^3, x2, x2*x1*x2, x1*x2*x1*x2 ]
[ x3^3, x1*x2, x3^4, x1^2 ]
[ x3^3, x1, x3^4, x1^2 ]
[ x3^3, x2, x3^4, x1^2 ]
[ x1*x2, x1, x3^4, x1^2 ]
[ x1*x3^3, x1*x2, x3^4, x1^2 ]
[ x1*x2*x3^3, x1, x3^4, x1^2 ]
[ x1*x3^3, x2, x3^4, x1^2 ]
[ x3^3, x1*x2, x1, x1^2 ]
[ x3^3, x2, x3^4, x1*x2*x1*x2 ]
[ x3^3, x2*x1*x2, x3^4, x1*x2*x1*x2 ]
[ x3^3, x1*x2, x3^4, x1*x2*x1*x2 ]
[ x2, x2*x1*x2, x3^4, x1*x2*x1*x2 ]
[ x2*x1*x2*x3^3, x2, x3^4, x1*x2*x1*x2 ]
[ x2*x3^3, x2*x1*x2, x3^4, x1*x2*x1*x2 ]
[ x2*x1*x2*x3^3, x1*x2, x3^4, x1*x2*x1*x2 ]
[ x3^3, x2, x2*x1*x2, x1*x2*x1*x2 ]
[ x2*x1*x3^3, x2, x1*x2*x1*x2*x3^2, x1*x2*x1*x2 ]
[ x2*x1*x3^3, x1, x1*x2*x1*x2*x3^2, x1*x2*x1*x2 ]
[ x2*x1*x3^3, x2*x1, x1*x2*x1*x2*x3^2, x1*x2*x1*x2 ]
[ x2, x1, x1*x2*x1*x2*x3^2, x1*x2*x1*x2 ]
[ x1*x2*x1*x3^3, x2, x1*x2*x1*x2*x3^2, x1*x2*x1*x2 ]
[ x1*x3^3, x1, x1*x2*x1*x2*x3^2, x1*x2*x1*x2 ]
[ x1*x2*x1*x3^3, x2*x1, x1*x2*x1*x2*x3^2, x1*x2*x1*x2 ]
[ x2*x1*x3^3, x2, x1, x1*x2*x1*x2 ]
[ x2^9, x2^8, x2^6, x1*x2*x1*x2^11 ]
[ x1, x2^8, x2^6, x1*x2*x1*x2^11 ]
[ x2*x1*x2^8, x2^8, x2^6, x1*x2*x1*x2^11 ]
[ x2^9, x1, x2^6, x1*x2*x1*x2^11 ]
[ x2^9, x2^8, x2^6, x1*x2*x1*x2^11 ]
[ x1, x2^8, x2^6, x1*x2*x1*x2^11 ]
[ x2*x1*x2^8, x2^8, x2^6, x1*x2*x1*x2^11 ]
[ x2^9, x1, x2^6, x1*x2*x1*x2^11 ]
[ x2^9, x2^8, x2^6, x1*x2*x1*x2^11 ]
[ x1, x2^8, x2^6, x1*x2*x1*x2^11 ]
[ x2*x1*x2^8, x2^8, x2^6, x1*x2*x1*x2^11 ]
[ x2^9, x1, x2^6, x1*x2*x1*x2^11 ]
[ x1^3*x2*x1*x2^4, x1^3*x2*x1*x2, x1^2, x1^3*x2*x1*x2^3 ]
[ x1, x1^3*x2*x1*x2, x1^2, x1^3*x2*x1*x2^3 ]
[ x2*x1*x2^4, x1^3*x2*x1*x2, x1^2, x1^3*x2*x1*x2^3 ]
[ x1^3*x2*x1*x2^4, x1, x1^3*x2*x1*x2, x1^2 ]
[ x1^3*x2*x1*x2*x1*x2^3, x1^2*x2^2, x1^2, x1^3*x2*x1*x2^3 ]
[ x1, x1^2*x2^2, x1^2, x1^3*x2*x1*x2^3 ]
[ x2*x1*x2*x1*x2^3, x1^2*x2^2, x1^2, x1^3*x2*x1*x2^3 ]
[ x1^3*x2*x1*x2*x1*x2^3, x1, x1^2*x2^2, x1^2 ]
[ x2, x2^2, x1^2, x1^3*x2*x1*x2^3 ]
[ x1^3*x2*x1*x2*x1*x2^2, x2^2, x1^2, x1^3*x2*x1*x2^3 ]
[ x1^3*x2*x1*x2*x1*x2^3, x2^2, x1^2, x1^3*x2*x1*x2^3 ]
[ x2, x1^3*x2*x1*x2*x1*x2^2, x2^2, x1^2 ]
[ x2*x1*x2^4, x1*x2*x1*x2, x1^2, x1^3*x2*x1*x2^3 ]
[ x1, x1*x2*x1*x2, x1^2, x1^3*x2*x1*x2^3 ]
[ x1*x2*x1*x2^4, x1*x2*x1*x2, x1^2, x1^3*x2*x1*x2^3 ]
[ x2*x1*x2^4, x1, x1*x2*x1*x2, x1^2 ]
[ x2*x1*x2*x1*x2, x1*x2*x1*x2*x1*x2*x1*x2*x1*x2*x1*x2,
x1^3*x2*x1*x2*x1*x2*x1*x2*x1*x2*x1*x2, x2*x1*x2*x1*x2*x1*x2*x1 ]
[ x1, x1*x2*x1*x2*x1*x2*x1*x2*x1*x2*x1*x2,
x1^3*x2*x1*x2*x1*x2*x1*x2*x1*x2*x1*x2, x2*x1*x2*x1*x2*x1*x2*x1 ]
[ x2*x1*x2*x1*x2*x1, x1*x2*x1*x2*x1*x2*x1*x2*x1*x2*x1*x2,
x1^3*x2*x1*x2*x1*x2*x1*x2*x1*x2*x1*x2, x2*x1*x2*x1*x2*x1*x2*x1 ]
[ x2*x1*x2*x1*x2, x1, x1*x2*x1*x2*x1*x2*x1*x2*x1*x2*x1*x2,
x1^3*x2*x1*x2*x1*x2*x1*x2*x1*x2*x1*x2 ]
[ x2*x1*x2*x1*x2*x1*x2*x1*x2, x2^2, x1*x2*x1*x2*x1*x2*x1*x2*x1*x2*x1*x2^3,
x2*x1*x2*x1*x2*x1*x2*x1 ]
[ x1*x2*x1*x2*x1*x2*x1*x2*x1, x2^2, x1*x2*x1*x2*x1*x2*x1*x2*x1*x2*x1*x2^3,
x2*x1*x2*x1*x2*x1*x2*x1 ]
[ x1*x2*x1*x2*x1*x2^3, x2^2, x1*x2*x1*x2*x1*x2*x1*x2*x1*x2*x1*x2^3,
x2*x1*x2*x1*x2*x1*x2*x1 ]
[ x2*x1*x2*x1*x2*x1*x2*x1*x2, x1*x2*x1*x2*x1*x2*x1*x2*x1, x2^2,
x1*x2*x1*x2*x1*x2*x1*x2*x1*x2*x1*x2^3 ]
[ x1*x2*x1*x2*x1*x2*x1, x1^2, x1^3*x2*x1*x2*x1*x2*x1*x2*x1*x2*x1*x2,
x2*x1*x2*x1*x2*x1*x2*x1 ]
[ x1, x1^2, x1^3*x2*x1*x2*x1*x2*x1*x2*x1*x2*x1*x2, x2*x1*x2*x1*x2*x1*x2*x1 ]
[ x1^3*x2*x1*x2*x1*x2, x1^2, x1^3*x2*x1*x2*x1*x2*x1*x2*x1*x2*x1*x2,
x2*x1*x2*x1*x2*x1*x2*x1 ]
[ x1*x2*x1*x2*x1*x2*x1, x1, x1^2, x1^3*x2*x1*x2*x1*x2*x1*x2*x1*x2*x1*x2 ]
[ x2*x1*x2*x1*x2*x1*x2*x1*x2, x2^2, x1*x2*x1*x2*x1*x2*x1*x2*x1*x2*x1*x2^3,
x2*x1*x2*x1*x2*x1*x2*x1 ]
[ x1*x2*x1*x2*x1*x2*x1*x2*x1, x2^2, x1*x2*x1*x2*x1*x2*x1*x2*x1*x2*x1*x2^3,
x2*x1*x2*x1*x2*x1*x2*x1 ]
[ x1*x2*x1*x2*x1*x2^3, x2^2, x1*x2*x1*x2*x1*x2*x1*x2*x1*x2*x1*x2^3,
x2*x1*x2*x1*x2*x1*x2*x1 ]
[ x2*x1*x2*x1*x2*x1*x2*x1*x2, x1*x2*x1*x2*x1*x2*x1*x2*x1, x2^2,
x1*x2*x1*x2*x1*x2*x1*x2*x1*x2*x1*x2^3 ]
[ x2^3*x1, x1*x2*x1*x2, x1^3*x2*x1*x2, x2^2 ]
[ x1, x1*x2*x1*x2, x1^3*x2*x1*x2, x2^2 ]
[ x1^2*x2^3, x1*x2*x1*x2, x1^3*x2*x1*x2, x2^2 ]
[ x2^3*x1, x1, x1*x2*x1*x2, x1^3*x2*x1*x2 ]
[ x1^3*x2^3*x1, x1*x2*x1*x2, x1^3*x2*x1*x2, x2^2 ]
[ x2^2*x1, x1*x2*x1*x2, x1^3*x2*x1*x2, x2^2 ]
[ x1*x2, x1*x2*x1*x2, x1^3*x2*x1*x2, x2^2 ]
[ x1^3*x2^3*x1, x2^2*x1, x1*x2*x1*x2, x1^3*x2*x1*x2 ]
[ x2, x1^2, x2^2, x1^3*x2*x1*x2 ]
[ x1^3*x2*x1*x2*x1, x1^2, x2^2, x1^3*x2*x1*x2 ]
[ x1^2*x2*x1*x2*x1*x2*x1, x1^2, x2^2, x1^3*x2*x1*x2 ]
[ x2, x1^3*x2*x1*x2*x1, x1^2, x2^2 ]
[ x1^3*x2*x1*x2*x1*x2, x1^2, x2^2, x1^3*x2*x1*x2 ]
[ x1, x1^2, x2^2, x1^3*x2*x1*x2 ]
[ x1^3*x2*x1*x2*x1*x2*x1, x1^2, x2^2, x1^3*x2*x1*x2 ]
[ x1^3*x2*x1*x2*x1*x2, x1, x1^2, x2^2 ]
[ x1^3*x2^3*x1, x1^2, x2^6, x1^3*x2^4*x1 ]
[ x1*x2^4, x1^2, x2^6, x1^3*x2^4*x1 ]
[ x2^5*x1, x1^2, x2^6, x1^3*x2^4*x1 ]
[ x1^3*x2^3*x1, x1*x2^4, x1^2, x2^6 ]
[ x2^3*x1, x1^2, x2^6, x1^3*x2^4*x1 ]
[ x1, x1^2, x2^6, x1^3*x2^4*x1 ]
[ x1^2*x2^3, x1^2, x2^6, x1^3*x2^4*x1 ]
[ x2^3*x1, x1, x1^2, x2^6 ]
[ x3^3, x1*x2, x1^2, x3^2 ]
[ x3^3, x1, x1^2, x3^2 ]
[ x3^3, x1^2*x2, x1^2, x3^2 ]
[ x1*x2, x1, x1^2, x3^2 ]
[ x1*x3^3, x1*x2, x1^2, x3^2 ]
[ x1*x2*x3^3, x1, x1^2, x3^2 ]
[ x1*x3^3, x1^2*x2, x1^2, x3^2 ]
[ x3^3, x1*x2, x1, x1^2 ]
[ x2^2*x3*x2*x3*x2*x3, x2, x2^2, x2^3*x3*x2*x3 ]
[ x2^2*x3*x2*x3*x2*x3, x1, x2^2, x2^3*x3*x2*x3 ]
[ x2^2*x3*x2*x3*x2*x3, x1*x2, x2^2, x2^3*x3*x2*x3 ]
[ x2, x1, x2^2, x2^3*x3*x2*x3 ]
[ x1*x2^2*x3*x2*x3*x2*x3, x2, x2^2, x2^3*x3*x2*x3 ]
[ x2^3*x3*x2*x3*x2*x3, x1, x2^2, x2^3*x3*x2*x3 ]
[ x1*x2^2*x3*x2*x3*x2*x3, x1*x2, x2^2, x2^3*x3*x2*x3 ]
[ x2^2*x3*x2*x3*x2*x3, x2, x1, x2^2 ]
[ x1*x3*x1*x3*x1*x3^3, x2, x3^2, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, x3*x1*x3^3, x3^2, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, x2*x3*x1*x3^3, x3^2, x1*x3*x1*x3^3 ]
[ x2, x3*x1*x3^3, x3^2, x1*x3*x1*x3^3 ]
[ x1*x3*x1, x2, x3^2, x1*x3*x1*x3^3 ]
[ x1*x2*x3*x1*x3*x1*x3^3, x3*x1*x3^3, x3^2, x1*x3*x1*x3^3 ]
[ x1*x3*x1, x2*x3*x1*x3^3, x3^2, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, x2, x3*x1*x3^3, x3^2 ]
[ x1*x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x2*x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x1*x2, x1, x1*x3*x1*x3 ]
[ x1*x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x2*x3*x1*x3^4, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x3*x1*x3^4, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x1*x2, x1, x1*x3*x1*x3 ]
[ x3^3, x1^3*x2, x1^2, x3^2 ]
[ x3^3, x1, x1^2, x3^2 ]
[ x3^3, x1^2*x2, x1^2, x3^2 ]
[ x1^3*x2, x1, x1^2, x3^2 ]
[ x1*x3^3, x1^3*x2, x1^2, x3^2 ]
[ x1^3*x2*x3^3, x1, x1^2, x3^2 ]
[ x1*x3^3, x1^2*x2, x1^2, x3^2 ]
[ x3^3, x1^3*x2, x1, x1^2 ]
[ x3^3, x2, x1*x2*x1*x2, x3^2 ]
[ x3^3, x1*x3^2, x1*x2*x1*x2, x3^2 ]
[ x3^3, x2*x1*x3^2, x1*x2*x1*x2, x3^2 ]
[ x2, x1*x3^2, x1*x2*x1*x2, x3^2 ]
[ x3*x1, x2, x1*x2*x1*x2, x3^2 ]
[ x2*x3^3, x1*x3^2, x1*x2*x1*x2, x3^2 ]
[ x3*x1, x2*x1*x3^2, x1*x2*x1*x2, x3^2 ]
[ x3^3, x2, x1*x3^2, x1*x2*x1*x2 ]
[ x3, x1, x1*x3*x1*x3, x2^2 ]
[ x3, x2^3, x1*x3*x1*x3, x2^2 ]
[ x3, x1*x2^3, x1*x3*x1*x3, x2^2 ]
[ x1, x2^3, x1*x3*x1*x3, x2^2 ]
[ x2^3*x3, x1, x1*x3*x1*x3, x2^2 ]
[ x3*x1, x2^3, x1*x3*x1*x3, x2^2 ]
[ x2^3*x3, x1*x2^3, x1*x3*x1*x3, x2^2 ]
[ x3, x1, x2^3, x1*x3*x1*x3 ]
[ x2*x3*x2*x3*x2*x3*x2, x3*x2*x3*x2*x3*x2*x3*x2*x3*x2*x3,
x2*x3*x2*x3*x2*x3*x2*x3*x2*x3*x2*x3, x3*x2*x3*x2*x3*x2*x3*x2 ]
[ x2*x3*x2*x3*x2*x3*x2, x1, x2*x3*x2*x3*x2*x3*x2*x3*x2*x3*x2*x3,
x3*x2*x3*x2*x3*x2*x3*x2 ]
[ x2*x3*x2*x3*x2*x3*x2, x1*x3*x2*x3*x2*x3*x2*x3*x2*x3*x2*x3,
x2*x3*x2*x3*x2*x3*x2*x3*x2*x3*x2*x3, x3*x2*x3*x2*x3*x2*x3*x2 ]
[ x3*x2*x3*x2*x3*x2*x3*x2*x3*x2*x3, x1, x2*x3*x2*x3*x2*x3*x2*x3*x2*x3*x2*x3,
x3*x2*x3*x2*x3*x2*x3*x2 ]
[ x1*x2*x3*x2*x3*x2*x3*x2, x3*x2*x3*x2*x3*x2*x3*x2*x3*x2*x3,
x2*x3*x2*x3*x2*x3*x2*x3*x2*x3*x2*x3, x3*x2*x3*x2*x3*x2*x3*x2 ]
[ x3*x2*x3*x2*x3*x2, x1, x2*x3*x2*x3*x2*x3*x2*x3*x2*x3*x2*x3,
x3*x2*x3*x2*x3*x2*x3*x2 ]
[ x1*x2*x3*x2*x3*x2*x3*x2, x1*x3*x2*x3*x2*x3*x2*x3*x2*x3*x2*x3,
x2*x3*x2*x3*x2*x3*x2*x3*x2*x3*x2*x3, x3*x2*x3*x2*x3*x2*x3*x2 ]
[ x2*x3*x2*x3*x2*x3*x2, x3*x2*x3*x2*x3*x2*x3*x2*x3*x2*x3, x1,
x2*x3*x2*x3*x2*x3*x2*x3*x2*x3*x2*x3 ]
[ x3^3, x3^2*x1, x1*x3*x1*x3, x3^2 ]
[ x3^3, x2*x3^2*x1, x1*x3*x1*x3, x3^2 ]
[ x3^3, x2, x1*x3*x1*x3, x3^2 ]
[ x3^2*x1, x2*x3^2*x1, x1*x3*x1*x3, x3^2 ]
[ x2*x3*x1*x3^2, x3^2*x1, x1*x3*x1*x3, x3^2 ]
[ x3*x1*x3^2, x2*x3^2*x1, x1*x3*x1*x3, x3^2 ]
[ x2*x3*x1*x3^2, x2, x1*x3*x1*x3, x3^2 ]
[ x3^3, x3^2*x1, x2*x3^2*x1, x1*x3*x1*x3 ]
[ x1*x3^3*x1, x1*x3^4, x3^6, x1*x3^4*x1 ]
[ x1*x3^3*x1, x1*x2*x3^4, x3^6, x1*x3^4*x1 ]
[ x1*x3^3*x1, x2, x3^6, x1*x3^4*x1 ]
[ x1*x3^4, x1*x2*x3^4, x3^6, x1*x3^4*x1 ]
[ x2*x3^5*x1, x1*x3^4, x3^6, x1*x3^4*x1 ]
[ x3^5*x1, x1*x2*x3^4, x3^6, x1*x3^4*x1 ]
[ x2*x3^5*x1, x2, x3^6, x1*x3^4*x1 ]
[ x1*x3^3*x1, x1*x3^4, x1*x2*x3^4, x3^6 ]
[ x2^3*x3, x2^3, x1*x2*x1*x2, x2^2 ]
[ x2^3*x3, x1, x1*x2*x1*x2, x2^2 ]
[ x2^3*x3, x2^3*x1, x1*x2*x1*x2, x2^2 ]
[ x2^3, x1, x1*x2*x1*x2, x2^2 ]
[ x1*x2^3*x3, x2^3, x1*x2*x1*x2, x2^2 ]
[ x3, x1, x1*x2*x1*x2, x2^2 ]
[ x1*x2^3*x3, x2^3*x1, x1*x2*x1*x2, x2^2 ]
[ x2^3*x3, x2^3, x1, x1*x2*x1*x2 ]
[ x1^2*x2*x3^3, x1^2*x2, x1^2, x3^2 ]
[ x1^2*x2*x3^3, x1, x1^2, x3^2 ]
[ x1^2*x2*x3^3, x1*x2, x1^2, x3^2 ]
[ x1^2*x2, x1, x1^2, x3^2 ]
[ x1^3*x2*x3^3, x1^2*x2, x1^2, x3^2 ]
[ x3^3, x1, x1^2, x3^2 ]
[ x1^3*x2*x3^3, x1*x2, x1^2, x3^2 ]
[ x1^2*x2*x3^3, x1^2*x2, x1, x1^2 ]
[ x2*x3*x1*x3*x1*x3, x1^2*x2, x1^2, x1^3*x3*x1*x3 ]
[ x2*x3*x1*x3*x1*x3, x1, x1^2, x1^3*x3*x1*x3 ]
[ x2*x3*x1*x3*x1*x3, x1*x2, x1^2, x1^3*x3*x1*x3 ]
[ x1^2*x2, x1, x1^2, x1^3*x3*x1*x3 ]
[ x1^3*x2*x3*x1*x3*x1*x3, x1^2*x2, x1^2, x1^3*x3*x1*x3 ]
[ x1^2*x3*x1*x3*x1*x3, x1, x1^2, x1^3*x3*x1*x3 ]
[ x1^3*x2*x3*x1*x3*x1*x3, x1*x2, x1^2, x1^3*x3*x1*x3 ]
[ x2*x3*x1*x3*x1*x3, x1^2*x2, x1, x1^2 ]
[ x1*x2*x1*x2*x1*x2*x1, x1^2, x1^3*x2*x1*x2*x1*x2*x1*x2*x1*x2*x1*x2,
x2*x1*x2*x1*x2*x1*x2*x1 ]
[ x1, x1^2, x1^3*x2*x1*x2*x1*x2*x1*x2*x1*x2*x1*x2, x2*x1*x2*x1*x2*x1*x2*x1 ]
[ x1^3*x2*x1*x2*x1*x2, x1^2, x1^3*x2*x1*x2*x1*x2*x1*x2*x1*x2*x1*x2,
x2*x1*x2*x1*x2*x1*x2*x1 ]
[ x1*x2*x1*x2*x1*x2*x1, x1, x1^2, x1^3*x2*x1*x2*x1*x2*x1*x2*x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x1*x2*x1, x1^2, x1^3*x2*x1*x2*x1*x2*x1*x2*x1*x2*x1*x2,
x2*x1*x2*x1*x2*x1*x2*x1 ]
[ x1, x1^2, x1^3*x2*x1*x2*x1*x2*x1*x2*x1*x2*x1*x2, x2*x1*x2*x1*x2*x1*x2*x1 ]
[ x1^3*x2*x1*x2*x1*x2, x1^2, x1^3*x2*x1*x2*x1*x2*x1*x2*x1*x2*x1*x2,
x2*x1*x2*x1*x2*x1*x2*x1 ]
[ x1*x2*x1*x2*x1*x2*x1, x1, x1^2, x1^3*x2*x1*x2*x1*x2*x1*x2*x1*x2*x1*x2 ]
[ x2^3, x1^2, x1^3*x2*x1*x2, x2^2 ]
[ x1, x1^2, x1^3*x2*x1*x2, x2^2 ]
[ x2^3*x1, x1^2, x1^3*x2*x1*x2, x2^2 ]
[ x2^3, x1, x1^2, x1^3*x2*x1*x2 ]
[ x2^3, x1^2, x1^3*x2*x1*x2, x2^2 ]
[ x1*x2^2, x1^2, x1^3*x2*x1*x2, x2^2 ]
[ x2*x1, x1^2, x1^3*x2*x1*x2, x2^2 ]
[ x2^3, x1*x2^2, x1^2, x1^3*x2*x1*x2 ]
[ x6^3, x2, x2*x1*x2, x3*x6^2, x3*x6*x3*x4*x6, x3*x4*x6*x3*x4*x6,
x1*x2*x1*x2, x6^2 ]
[ x6^3, x2, x2*x1*x2, x3*x6^2, x3*x5*x6^2, x3*x4*x6*x3*x4*x6, x1*x2*x1*x2,
x6^2 ]
[ x6^3, x2, x2*x1*x2, x3*x6^2, x3*x5*x6*x4*x6, x3*x4*x6*x3*x4*x6,
x1*x2*x1*x2, x6^2 ]
[ x6^3, x2, x2*x1*x2, x3*x6*x3*x4*x6, x3*x5*x6^2, x3*x4*x6*x3*x4*x6,
x1*x2*x1*x2, x6^2 ]
[ x6^3, x2, x2*x1*x2, x5, x3*x6*x3*x4*x6, x3*x4*x6*x3*x4*x6, x1*x2*x1*x2,
x6^2 ]
[ x6^3, x2, x2*x1*x2, x3*x6*x4*x6, x3*x5*x6^2, x3*x4*x6*x3*x4*x6,
x1*x2*x1*x2, x6^2 ]
[ x6^3, x2, x2*x1*x2, x5, x3*x5*x6*x4*x6, x3*x4*x6*x3*x4*x6, x1*x2*x1*x2,
x6^2 ]
[ x6^3, x2, x3*x6^2, x3*x6*x3*x4*x6, x3*x5*x6^2, x3*x4*x6*x3*x4*x6,
x1*x2*x1*x2, x6^2 ]
[ x6^3, x2, x2*x1*x2*x3*x5*x6^2, x3*x6^2, x3*x6*x3*x4*x6, x3*x4*x6*x3*x4*x6,
x1*x2*x1*x2, x6^2 ]
[ x6^3, x2, x2*x1*x2*x3*x6*x3*x4*x6, x3*x6^2, x3*x5*x6^2, x3*x4*x6*x3*x4*x6,
x1*x2*x1*x2, x6^2 ]
[ x6^3, x2, x2*x1*x2*x3*x5*x6^2, x3*x6^2, x3*x5*x6*x4*x6, x3*x4*x6*x3*x4*x6,
x1*x2*x1*x2, x6^2 ]
[ x6^3, x2, x2*x1*x2*x3*x6^2, x3*x6*x3*x4*x6, x3*x5*x6^2, x3*x4*x6*x3*x4*x6,
x1*x2*x1*x2, x6^2 ]
[ x6^3, x2, x2*x1*x2*x3*x5*x6^2, x5, x3*x6*x3*x4*x6, x3*x4*x6*x3*x4*x6,
x1*x2*x1*x2, x6^2 ]
[ x6^3, x2, x2*x1*x2*x3*x6*x3*x4*x6, x3*x6*x4*x6, x3*x5*x6^2,
x3*x4*x6*x3*x4*x6, x1*x2*x1*x2, x6^2 ]
[ x6^3, x2, x2*x1*x2*x3*x5*x6^2, x5, x3*x5*x6*x4*x6, x3*x4*x6*x3*x4*x6,
x1*x2*x1*x2, x6^2 ]
[ x6^3, x2*x1*x2, x3*x6^2, x3*x6*x3*x4*x6, x3*x5*x6^2, x3*x4*x6*x3*x4*x6,
x1*x2*x1*x2, x6^2 ]
[ x6^3, x2*x3*x5*x6^2, x2*x1*x2, x3*x6^2, x3*x6*x3*x4*x6, x3*x4*x6*x3*x4*x6,
x1*x2*x1*x2, x6^2 ]
[ x6^3, x2*x3*x6*x3*x4*x6, x2*x1*x2, x3*x6^2, x3*x5*x6^2, x3*x4*x6*x3*x4*x6,
x1*x2*x1*x2, x6^2 ]
[ x6^3, x2*x3*x5*x6^2, x2*x1*x2, x3*x6^2, x3*x5*x6*x4*x6, x3*x4*x6*x3*x4*x6,
x1*x2*x1*x2, x6^2 ]
[ x6^3, x2*x3*x6^2, x2*x1*x2, x3*x6*x3*x4*x6, x3*x5*x6^2, x3*x4*x6*x3*x4*x6,
x1*x2*x1*x2, x6^2 ]
[ x6^3, x2*x3*x5*x6^2, x2*x1*x2, x5, x3*x6*x3*x4*x6, x3*x4*x6*x3*x4*x6,
x1*x2*x1*x2, x6^2 ]
[ x6^3, x2*x3*x6*x3*x4*x6, x2*x1*x2, x3*x6*x4*x6, x3*x5*x6^2,
x3*x4*x6*x3*x4*x6, x1*x2*x1*x2, x6^2 ]
[ x6^3, x2*x3*x5*x6^2, x2*x1*x2, x5, x3*x5*x6*x4*x6, x3*x4*x6*x3*x4*x6,
x1*x2*x1*x2, x6^2 ]
[ x6^3, x1*x2, x3*x6^2, x3*x6*x3*x4*x6, x3*x5*x6^2, x3*x4*x6*x3*x4*x6,
x1*x2*x1*x2, x6^2 ]
[ x6^3, x2*x3*x5*x6^2, x2*x1*x2*x3*x5*x6^2, x3*x6^2, x3*x6*x3*x4*x6,
x3*x4*x6*x3*x4*x6, x1*x2*x1*x2, x6^2 ]
[ x6^3, x2*x3*x6*x3*x4*x6, x2*x1*x2*x3*x6*x3*x4*x6, x3*x6^2, x3*x5*x6^2,
x3*x4*x6*x3*x4*x6, x1*x2*x1*x2, x6^2 ]
[ x6^3, x2*x3*x5*x6^2, x2*x1*x2*x3*x5*x6^2, x3*x6^2, x3*x5*x6*x4*x6,
x3*x4*x6*x3*x4*x6, x1*x2*x1*x2, x6^2 ]
[ x6^3, x2*x3*x6^2, x2*x1*x2*x3*x6^2, x3*x6*x3*x4*x6, x3*x5*x6^2,
x3*x4*x6*x3*x4*x6, x1*x2*x1*x2, x6^2 ]
[ x6^3, x2*x3*x5*x6^2, x2*x1*x2*x3*x5*x6^2, x5, x3*x6*x3*x4*x6,
x3*x4*x6*x3*x4*x6, x1*x2*x1*x2, x6^2 ]
[ x6^3, x2*x3*x6*x3*x4*x6, x2*x1*x2*x3*x6*x3*x4*x6, x3*x6*x4*x6, x3*x5*x6^2,
x3*x4*x6*x3*x4*x6, x1*x2*x1*x2, x6^2 ]
[ x6^3, x2*x3*x5*x6^2, x2*x1*x2*x3*x5*x6^2, x5, x3*x5*x6*x4*x6,
x3*x4*x6*x3*x4*x6, x1*x2*x1*x2, x6^2 ]
[ x2, x2*x1*x2, x3*x6^2, x3*x6*x3*x4*x6, x3*x5*x6^2, x3*x4*x6*x3*x4*x6,
x1*x2*x1*x2, x6^2 ]
[ x5*x6*x3, x2, x2*x1*x2, x3*x6^2, x3*x6*x3*x4*x6, x3*x4*x6*x3*x4*x6,
x1*x2*x1*x2, x6^2 ]
[ x4*x6^3, x2, x2*x1*x2, x3*x6^2, x3*x5*x6^2, x3*x4*x6*x3*x4*x6, x1*x2*x1*x2,
x6^2 ]
[ x5*x6*x3, x2, x2*x1*x2, x3*x6^2, x3*x5*x6*x4*x6, x3*x4*x6*x3*x4*x6,
x1*x2*x1*x2, x6^2 ]
[ x6*x3, x2, x2*x1*x2, x3*x6*x3*x4*x6, x3*x5*x6^2, x3*x4*x6*x3*x4*x6,
x1*x2*x1*x2, x6^2 ]
[ x5*x6*x3, x2, x2*x1*x2, x5, x3*x6*x3*x4*x6, x3*x4*x6*x3*x4*x6, x1*x2*x1*x2,
x6^2 ]
[ x4*x6^3, x2, x2*x1*x2, x3*x6*x4*x6, x3*x5*x6^2, x3*x4*x6*x3*x4*x6,
x1*x2*x1*x2, x6^2 ]
[ x5*x6*x3, x2, x2*x1*x2, x5, x3*x5*x6*x4*x6, x3*x4*x6*x3*x4*x6, x1*x2*x1*x2,
x6^2 ]
[ x2*x1*x2*x6^3, x2, x3*x6^2, x3*x6*x3*x4*x6, x3*x5*x6^2, x3*x4*x6*x3*x4*x6,
x1*x2*x1*x2, x6^2 ]
[ x5*x6*x3, x2, x2*x1*x2*x3*x5*x6^2, x3*x6^2, x3*x6*x3*x4*x6,
x3*x4*x6*x3*x4*x6, x1*x2*x1*x2, x6^2 ]
[ x4*x6^3, x2, x2*x1*x2*x3*x6*x3*x4*x6, x3*x6^2, x3*x5*x6^2,
x3*x4*x6*x3*x4*x6, x1*x2*x1*x2, x6^2 ]
[ x5*x6*x3, x2, x2*x1*x2*x3*x5*x6^2, x3*x6^2, x3*x5*x6*x4*x6,
x3*x4*x6*x3*x4*x6, x1*x2*x1*x2, x6^2 ]
[ x6*x3, x2, x2*x1*x2*x3*x6^2, x3*x6*x3*x4*x6, x3*x5*x6^2, x3*x4*x6*x3*x4*x6,
x1*x2*x1*x2, x6^2 ]
[ x5*x6*x3, x2, x2*x1*x2*x3*x5*x6^2, x5, x3*x6*x3*x4*x6, x3*x4*x6*x3*x4*x6,
x1*x2*x1*x2, x6^2 ]
[ x4*x6^3, x2, x2*x1*x2*x3*x6*x3*x4*x6, x3*x6*x4*x6, x3*x5*x6^2,
x3*x4*x6*x3*x4*x6, x1*x2*x1*x2, x6^2 ]
[ x5*x6*x3, x2, x2*x1*x2*x3*x5*x6^2, x5, x3*x5*x6*x4*x6, x3*x4*x6*x3*x4*x6,
x1*x2*x1*x2, x6^2 ]
[ x2*x6^3, x2*x1*x2, x3*x6^2, x3*x6*x3*x4*x6, x3*x5*x6^2, x3*x4*x6*x3*x4*x6,
x1*x2*x1*x2, x6^2 ]
[ x5*x6*x3, x2*x3*x5*x6^2, x2*x1*x2, x3*x6^2, x3*x6*x3*x4*x6,
x3*x4*x6*x3*x4*x6, x1*x2*x1*x2, x6^2 ]
[ x4*x6^3, x2*x3*x6*x3*x4*x6, x2*x1*x2, x3*x6^2, x3*x5*x6^2,
x3*x4*x6*x3*x4*x6, x1*x2*x1*x2, x6^2 ]
[ x5*x6*x3, x2*x3*x5*x6^2, x2*x1*x2, x3*x6^2, x3*x5*x6*x4*x6,
x3*x4*x6*x3*x4*x6, x1*x2*x1*x2, x6^2 ]
[ x6*x3, x2*x3*x6^2, x2*x1*x2, x3*x6*x3*x4*x6, x3*x5*x6^2, x3*x4*x6*x3*x4*x6,
x1*x2*x1*x2, x6^2 ]
[ x5*x6*x3, x2*x3*x5*x6^2, x2*x1*x2, x5, x3*x6*x3*x4*x6, x3*x4*x6*x3*x4*x6,
x1*x2*x1*x2, x6^2 ]
[ x4*x6^3, x2*x3*x6*x3*x4*x6, x2*x1*x2, x3*x6*x4*x6, x3*x5*x6^2,
x3*x4*x6*x3*x4*x6, x1*x2*x1*x2, x6^2 ]
[ x5*x6*x3, x2*x3*x5*x6^2, x2*x1*x2, x5, x3*x5*x6*x4*x6, x3*x4*x6*x3*x4*x6,
x1*x2*x1*x2, x6^2 ]
[ x2*x1*x2*x6^3, x1*x2, x3*x6^2, x3*x6*x3*x4*x6, x3*x5*x6^2,
x3*x4*x6*x3*x4*x6, x1*x2*x1*x2, x6^2 ]
[ x5*x6*x3, x2*x3*x5*x6^2, x2*x1*x2*x3*x5*x6^2, x3*x6^2, x3*x6*x3*x4*x6,
x3*x4*x6*x3*x4*x6, x1*x2*x1*x2, x6^2 ]
[ x4*x6^3, x2*x3*x6*x3*x4*x6, x2*x1*x2*x3*x6*x3*x4*x6, x3*x6^2, x3*x5*x6^2,
x3*x4*x6*x3*x4*x6, x1*x2*x1*x2, x6^2 ]
[ x5*x6*x3, x2*x3*x5*x6^2, x2*x1*x2*x3*x5*x6^2, x3*x6^2, x3*x5*x6*x4*x6,
x3*x4*x6*x3*x4*x6, x1*x2*x1*x2, x6^2 ]
[ x6*x3, x2*x3*x6^2, x2*x1*x2*x3*x6^2, x3*x6*x3*x4*x6, x3*x5*x6^2,
x3*x4*x6*x3*x4*x6, x1*x2*x1*x2, x6^2 ]
[ x5*x6*x3, x2*x3*x5*x6^2, x2*x1*x2*x3*x5*x6^2, x5, x3*x6*x3*x4*x6,
x3*x4*x6*x3*x4*x6, x1*x2*x1*x2, x6^2 ]
[ x4*x6^3, x2*x3*x6*x3*x4*x6, x2*x1*x2*x3*x6*x3*x4*x6, x3*x6*x4*x6,
x3*x5*x6^2, x3*x4*x6*x3*x4*x6, x1*x2*x1*x2, x6^2 ]
[ x5*x6*x3, x2*x3*x5*x6^2, x2*x1*x2*x3*x5*x6^2, x5, x3*x5*x6*x4*x6,
x3*x4*x6*x3*x4*x6, x1*x2*x1*x2, x6^2 ]
[ x6^3, x2, x2*x1*x2, x3*x6^2, x3*x6*x3*x4*x6, x3*x5*x6^2, x3*x4*x6*x3*x4*x6,
x1*x2*x1*x2 ]
[ x3^3, x2, x3^4, x3^6, x1^2 ]
[ x3^3, x1, x3^4, x3^6, x1^2 ]
[ x3^3, x1*x2, x3^4, x3^6, x1^2 ]
[ x2, x1, x3^4, x3^6, x1^2 ]
[ x1*x3^3, x2, x3^4, x3^6, x1^2 ]
[ x2*x3^3, x1, x3^4, x3^6, x1^2 ]
[ x1*x3^3, x1*x2, x3^4, x3^6, x1^2 ]
[ x3^3, x2, x1, x3^6, x1^2 ]
[ x1*x3^3, x1, x3^4, x1^2, x1^2*x2*x3*x2*x3^5 ]
[ x1*x3^3, x1^3*x3*x2*x3^5, x3^4, x1^2, x1^2*x2*x3*x2*x3^5 ]
[ x1*x3^3, x3*x2*x3^5, x3^4, x1^2, x1^2*x2*x3*x2*x3^5 ]
[ x1, x1^3*x3*x2*x3^5, x3^4, x1^2, x1^2*x2*x3*x2*x3^5 ]
[ x2*x3^3, x1, x3^4, x1^2, x1^2*x2*x3*x2*x3^5 ]
[ x1^2*x3^3, x1^3*x3*x2*x3^5, x3^4, x1^2, x1^2*x2*x3*x2*x3^5 ]
[ x2*x3^3, x3*x2*x3^5, x3^4, x1^2, x1^2*x2*x3*x2*x3^5 ]
[ x1*x3^3, x1, x1^3*x3*x2*x3^5, x1^2, x1^2*x2*x3*x2*x3^5 ]
[ x3^3, x1, x3^2, x1^2, x1^2*x2*x3*x2*x3^5 ]
[ x3^3, x1^3*x2, x3^2, x1^2, x1^2*x2*x3*x2*x3^5 ]
[ x3^3, x2, x3^2, x1^2, x1^2*x2*x3*x2*x3^5 ]
[ x1, x1^3*x2, x3^2, x1^2, x1^2*x2*x3*x2*x3^5 ]
[ x1^3*x3*x2*x3^2, x1, x3^2, x1^2, x1^2*x2*x3*x2*x3^5 ]
[ x1*x3^3, x1^3*x2, x3^2, x1^2, x1^2*x2*x3*x2*x3^5 ]
[ x1^3*x3*x2*x3^2, x2, x3^2, x1^2, x1^2*x2*x3*x2*x3^5 ]
[ x3^3, x1, x1^3*x2, x1^2, x1^2*x2*x3*x2*x3^5 ]
[ x3^3, x1, x3^4, x1^2, x1^2*x2*x3*x2*x3^5 ]
[ x3^3, x1^3*x3*x2*x3^5, x3^4, x1^2, x1^2*x2*x3*x2*x3^5 ]
[ x3^3, x3*x2*x3^5, x3^4, x1^2, x1^2*x2*x3*x2*x3^5 ]
[ x1, x1^3*x3*x2*x3^5, x3^4, x1^2, x1^2*x2*x3*x2*x3^5 ]
[ x1^3*x2*x3^3, x1, x3^4, x1^2, x1^2*x2*x3*x2*x3^5 ]
[ x1*x3^3, x1^3*x3*x2*x3^5, x3^4, x1^2, x1^2*x2*x3*x2*x3^5 ]
[ x1^3*x2*x3^3, x3*x2*x3^5, x3^4, x1^2, x1^2*x2*x3*x2*x3^5 ]
[ x3^3, x1, x1^3*x3*x2*x3^5, x1^2, x1^2*x2*x3*x2*x3^5 ]
[ x2*x1*x2*x3^3, x2, x1*x2*x1*x2*x3^2, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x2*x1*x2*x3^3, x1, x1*x2*x1*x2*x3^2, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x2*x1*x2*x3^3, x2*x1, x1*x2*x1*x2*x3^2, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x2, x1, x1*x2*x1*x2*x3^2, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x2*x3^3, x2, x1*x2*x1*x2*x3^2, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x2^3*x3^3, x1, x1*x2*x1*x2*x3^2, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x2*x3^3, x2*x1, x1*x2*x1*x2*x3^2, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x2*x1*x2*x3^3, x2, x1, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x3^3, x2, x3^4, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x3^3, x1, x3^4, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x3^3, x2*x1, x3^4, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x2, x1, x3^4, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x3^3, x2, x3^4, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x3^3, x1, x3^4, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x3^3, x2*x1, x3^4, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x3^3, x2, x1, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x2*x1*x3^3, x2, x3^2, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x2*x1*x3^3, x1, x3^2, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x2*x1*x3^3, x2*x1, x3^2, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x2, x1, x3^2, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x3^3, x2, x3^2, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x2^2*x3^3, x1, x3^2, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x3^3, x2*x1, x3^2, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x2*x1*x3^3, x2, x1, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x2*x3*x2*x3^2, x1, x2*x3*x2*x3, x3^6, x1^2 ]
[ x2*x3*x2*x3^2, x1^2*x2, x2*x3*x2*x3, x3^6, x1^2 ]
[ x2*x3*x2*x3^2, x1^3*x2, x2*x3*x2*x3, x3^6, x1^2 ]
[ x1, x1^2*x2, x2*x3*x2*x3, x3^6, x1^2 ]
[ x1^2*x2*x3^3, x1, x2*x3*x2*x3, x3^6, x1^2 ]
[ x1*x2*x3*x2*x3^2, x1^2*x2, x2*x3*x2*x3, x3^6, x1^2 ]
[ x1^2*x2*x3^3, x1^3*x2, x2*x3*x2*x3, x3^6, x1^2 ]
[ x2*x3*x2*x3^2, x1, x1^2*x2, x3^6, x1^2 ]
[ x2*x3*x2*x3^2, x1, x2*x3*x2*x3, x3^6, x1^2 ]
[ x2*x3*x2*x3^2, x2*x3^6, x2*x3*x2*x3, x3^6, x1^2 ]
[ x2*x3*x2*x3^2, x1*x2*x3^6, x2*x3*x2*x3, x3^6, x1^2 ]
[ x1, x2*x3^6, x2*x3*x2*x3, x3^6, x1^2 ]
[ x3*x2*x3^2, x1, x2*x3*x2*x3, x3^6, x1^2 ]
[ x1*x2*x3*x2*x3^2, x2*x3^6, x2*x3*x2*x3, x3^6, x1^2 ]
[ x3*x2*x3^2, x1*x2*x3^6, x2*x3*x2*x3, x3^6, x1^2 ]
[ x2*x3*x2*x3^2, x1, x2*x3^6, x3^6, x1^2 ]
[ x3^3, x3*x1*x3^5, x3^4, x1*x2*x3*x1*x2*x3^5, x1*x3*x1*x3^5 ]
[ x3^3, x3*x1*x2*x3^5, x3^4, x1*x2*x3*x1*x2*x3^5, x1*x3*x1*x3^5 ]
[ x3^3, x3*x2*x3^5, x3^4, x1*x2*x3*x1*x2*x3^5, x1*x3*x1*x3^5 ]
[ x3*x1*x3^5, x3*x1*x2*x3^5, x3^4, x1*x2*x3*x1*x2*x3^5, x1*x3*x1*x3^5 ]
[ x1*x2*x3^3, x3*x1*x3^5, x3^4, x1*x2*x3*x1*x2*x3^5, x1*x3*x1*x3^5 ]
[ x1*x3^3, x3*x1*x2*x3^5, x3^4, x1*x2*x3*x1*x2*x3^5, x1*x3*x1*x3^5 ]
[ x1*x2*x3^3, x3*x2*x3^5, x3^4, x1*x2*x3*x1*x2*x3^5, x1*x3*x1*x3^5 ]
[ x3^3, x3*x1*x3^5, x3*x1*x2*x3^5, x1*x2*x3*x1*x2*x3^5, x1*x3*x1*x3^5 ]
[ x3^3, x1, x3^4, x1*x3*x1*x3^5, x2*x3*x2*x3^5 ]
[ x3^3, x2, x3^4, x1*x3*x1*x3^5, x2*x3*x2*x3^5 ]
[ x3^3, x1*x2, x3^4, x1*x3*x1*x3^5, x2*x3*x2*x3^5 ]
[ x1, x2, x3^4, x1*x3*x1*x3^5, x2*x3*x2*x3^5 ]
[ x3*x2*x3^2, x1, x3^4, x1*x3*x1*x3^5, x2*x3*x2*x3^5 ]
[ x3*x1*x3^2, x2, x3^4, x1*x3*x1*x3^5, x2*x3*x2*x3^5 ]
[ x3*x2*x3^2, x1*x2, x3^4, x1*x3*x1*x3^5, x2*x3*x2*x3^5 ]
[ x3^3, x1, x2, x1*x3*x1*x3^5, x2*x3*x2*x3^5 ]
[ x1*x3*x1*x3^2, x2*x1*x2, x1*x3*x1*x3, x3^6, x1*x2*x1*x2 ]
[ x1*x3*x1*x3^2, x1*x2*x1, x1*x3*x1*x3, x3^6, x1*x2*x1*x2 ]
[ x1*x3*x1*x3^2, x1*x2, x1*x3*x1*x3, x3^6, x1*x2*x1*x2 ]
[ x2*x1*x2, x1*x2*x1, x1*x3*x1*x3, x3^6, x1*x2*x1*x2 ]
[ x1*x2*x1*x3^3, x2*x1*x2, x1*x3*x1*x3, x3^6, x1*x2*x1*x2 ]
[ x2*x1*x2*x3^3, x1*x2*x1, x1*x3*x1*x3, x3^6, x1*x2*x1*x2 ]
[ x1*x2*x1*x3^3, x1*x2, x1*x3*x1*x3, x3^6, x1*x2*x1*x2 ]
[ x1*x3*x1*x3^2, x2*x1*x2, x1*x2*x1, x3^6, x1*x2*x1*x2 ]
[ x3^3, x1, x3^4, x2*x3*x2*x3^5, x1*x2*x1*x2 ]
[ x3^3, x2, x3^4, x2*x3*x2*x3^5, x1*x2*x1*x2 ]
[ x3^3, x1*x2, x3^4, x2*x3*x2*x3^5, x1*x2*x1*x2 ]
[ x1, x2, x3^4, x2*x3*x2*x3^5, x1*x2*x1*x2 ]
[ x3*x2*x3^2, x1, x3^4, x2*x3*x2*x3^5, x1*x2*x1*x2 ]
[ x1*x3^3, x2, x3^4, x2*x3*x2*x3^5, x1*x2*x1*x2 ]
[ x3*x2*x3^2, x1*x2, x3^4, x2*x3*x2*x3^5, x1*x2*x1*x2 ]
[ x3^3, x1, x2, x2*x3*x2*x3^5, x1*x2*x1*x2 ]
[ x1*x3*x2*x3^2, x1, x2*x3*x2*x3, x1*x2*x1*x2*x3^6, x1*x2*x1*x2 ]
[ x1*x3*x2*x3^2, x2, x2*x3*x2*x3, x1*x2*x1*x2*x3^6, x1*x2*x1*x2 ]
[ x1*x3*x2*x3^2, x1*x2, x2*x3*x2*x3, x1*x2*x1*x2*x3^6, x1*x2*x1*x2 ]
[ x1, x2, x2*x3*x2*x3, x1*x2*x1*x2*x3^6, x1*x2*x1*x2 ]
[ x1*x3^3, x1, x2*x3*x2*x3, x1*x2*x1*x2*x3^6, x1*x2*x1*x2 ]
[ x3*x2*x3^2, x2, x2*x3*x2*x3, x1*x2*x1*x2*x3^6, x1*x2*x1*x2 ]
[ x1*x3^3, x1*x2, x2*x3*x2*x3, x1*x2*x1*x2*x3^6, x1*x2*x1*x2 ]
[ x1*x3*x2*x3^2, x1, x2, x1*x2*x1*x2*x3^6, x1*x2*x1*x2 ]
[ x2*x3*x2*x3^2, x1, x2*x3*x2*x3, x3^6, x1*x2*x3*x1*x2*x3^5 ]
[ x2*x3*x2*x3^2, x3*x1*x2*x3^5, x2*x3*x2*x3, x3^6, x1*x2*x3*x1*x2*x3^5 ]
[ x2*x3*x2*x3^2, x1*x3*x1*x2*x3^5, x2*x3*x2*x3, x3^6, x1*x2*x3*x1*x2*x3^5 ]
[ x1, x3*x1*x2*x3^5, x2*x3*x2*x3, x3^6, x1*x2*x3*x1*x2*x3^5 ]
[ x1*x2*x3^3, x1, x2*x3*x2*x3, x3^6, x1*x2*x3*x1*x2*x3^5 ]
[ x2*x3*x1*x2*x3^2, x3*x1*x2*x3^5, x2*x3*x2*x3, x3^6, x1*x2*x3*x1*x2*x3^5 ]
[ x1*x2*x3^3, x1*x3*x1*x2*x3^5, x2*x3*x2*x3, x3^6, x1*x2*x3*x1*x2*x3^5 ]
[ x2*x3*x2*x3^2, x1, x3*x1*x2*x3^5, x3^6, x1*x2*x3*x1*x2*x3^5 ]
[ x3^3, x2*x1*x2, x3^4, x1*x3*x1*x3^5, x1*x2*x1*x2 ]
[ x3^3, x2*x1*x3*x1*x3^5, x3^4, x1*x3*x1*x3^5, x1*x2*x1*x2 ]
[ x3^3, x2*x3*x1*x3^5, x3^4, x1*x3*x1*x3^5, x1*x2*x1*x2 ]
[ x2*x1*x2, x2*x1*x3*x1*x3^5, x3^4, x1*x3*x1*x3^5, x1*x2*x1*x2 ]
[ x2*x1*x3*x1*x3^2, x2*x1*x2, x3^4, x1*x3*x1*x3^5, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x3*x1*x3^2, x2*x1*x3*x1*x3^5, x3^4, x1*x3*x1*x3^5, x1*x2*x1*x2 ]
[ x2*x1*x3*x1*x3^2, x2*x3*x1*x3^5, x3^4, x1*x3*x1*x3^5, x1*x2*x1*x2 ]
[ x3^3, x2*x1*x2, x2*x1*x3*x1*x3^5, x1*x3*x1*x3^5, x1*x2*x1*x2 ]
[ x3*x2*x3^2, x1, x1*x2*x1*x2*x3^2, x2*x3*x2*x3^5, x1*x2*x1*x2 ]
[ x3*x2*x3^2, x2, x1*x2*x1*x2*x3^2, x2*x3*x2*x3^5, x1*x2*x1*x2 ]
[ x3*x2*x3^2, x1*x2, x1*x2*x1*x2*x3^2, x2*x3*x2*x3^5, x1*x2*x1*x2 ]
[ x1, x2, x1*x2*x1*x2*x3^2, x2*x3*x2*x3^5, x1*x2*x1*x2 ]
[ x3^3, x1, x1*x2*x1*x2*x3^2, x2*x3*x2*x3^5, x1*x2*x1*x2 ]
[ x1*x3*x2*x3^2, x2, x1*x2*x1*x2*x3^2, x2*x3*x2*x3^5, x1*x2*x1*x2 ]
[ x3^3, x1*x2, x1*x2*x1*x2*x3^2, x2*x3*x2*x3^5, x1*x2*x1*x2 ]
[ x3*x2*x3^2, x1, x2, x2*x3*x2*x3^5, x1*x2*x1*x2 ]
[ x3^3, x1, x3^4, x1^2, x1^3*x2*x1*x2 ]
[ x3^3, x2*x1, x3^4, x1^2, x1^3*x2*x1*x2 ]
[ x3^3, x1*x2*x1, x3^4, x1^2, x1^3*x2*x1*x2 ]
[ x1, x2*x1, x3^4, x1^2, x1^3*x2*x1*x2 ]
[ x2*x1*x3^3, x1, x3^4, x1^2, x1^3*x2*x1*x2 ]
[ x1^3*x3^3, x2*x1, x3^4, x1^2, x1^3*x2*x1*x2 ]
[ x2*x1*x3^3, x1*x2*x1, x3^4, x1^2, x1^3*x2*x1*x2 ]
[ x3^3, x1, x2*x1, x1^2, x1^3*x2*x1*x2 ]
[ x3^3, x1, x3^2, x1^2, x1^3*x2*x1*x2 ]
[ x3^3, x2*x1, x3^2, x1^2, x1^3*x2*x1*x2 ]
[ x3^3, x1*x2*x1, x3^2, x1^2, x1^3*x2*x1*x2 ]
[ x1, x2*x1, x3^2, x1^2, x1^3*x2*x1*x2 ]
[ x2*x1*x3^3, x1, x3^2, x1^2, x1^3*x2*x1*x2 ]
[ x1^3*x3^3, x2*x1, x3^2, x1^2, x1^3*x2*x1*x2 ]
[ x2*x1*x3^3, x1*x2*x1, x3^2, x1^2, x1^3*x2*x1*x2 ]
[ x3^3, x1, x2*x1, x1^2, x1^3*x2*x1*x2 ]
[ x3*x2*x3^2, x1, x1*x2*x1*x2*x3^2, x2*x3*x2*x3^5, x1*x2*x1*x2 ]
[ x3*x2*x3^2, x2, x1*x2*x1*x2*x3^2, x2*x3*x2*x3^5, x1*x2*x1*x2 ]
[ x3*x2*x3^2, x1*x2, x1*x2*x1*x2*x3^2, x2*x3*x2*x3^5, x1*x2*x1*x2 ]
[ x1, x2, x1*x2*x1*x2*x3^2, x2*x3*x2*x3^5, x1*x2*x1*x2 ]
[ x3^3, x1, x1*x2*x1*x2*x3^2, x2*x3*x2*x3^5, x1*x2*x1*x2 ]
[ x1*x3*x2*x3^2, x2, x1*x2*x1*x2*x3^2, x2*x3*x2*x3^5, x1*x2*x1*x2 ]
[ x3^3, x1*x2, x1*x2*x1*x2*x3^2, x2*x3*x2*x3^5, x1*x2*x1*x2 ]
[ x3*x2*x3^2, x1, x2, x2*x3*x2*x3^5, x1*x2*x1*x2 ]
[ x3^3, x1, x3^4, x1^2, x1^3*x2*x1*x2 ]
[ x3^3, x2, x3^4, x1^2, x1^3*x2*x1*x2 ]
[ x3^3, x1*x2, x3^4, x1^2, x1^3*x2*x1*x2 ]
[ x1, x2, x3^4, x1^2, x1^3*x2*x1*x2 ]
[ x1*x2*x1*x3^3, x1, x3^4, x1^2, x1^3*x2*x1*x2 ]
[ x1*x3^3, x2, x3^4, x1^2, x1^3*x2*x1*x2 ]
[ x1*x2*x1*x3^3, x1*x2, x3^4, x1^2, x1^3*x2*x1*x2 ]
[ x3^3, x1, x2, x1^2, x1^3*x2*x1*x2 ]
[ x1*x3^3, x1^2*x3*x1*x3^5, x1^2*x3^2, x1*x3*x1*x3^5, x1^2 ]
[ x1*x3^3, x1*x2, x1^2*x3^2, x1*x3*x1*x3^5, x1^2 ]
[ x1*x3^3, x1*x2*x3*x1*x3^5, x1^2*x3^2, x1*x3*x1*x3^5, x1^2 ]
[ x1^2*x3*x1*x3^5, x1*x2, x1^2*x3^2, x1*x3*x1*x3^5, x1^2 ]
[ x2*x3^3, x1^2*x3*x1*x3^5, x1^2*x3^2, x1*x3*x1*x3^5, x1^2 ]
[ x1^2*x3^3, x1*x2, x1^2*x3^2, x1*x3*x1*x3^5, x1^2 ]
[ x2*x3^3, x1*x2*x3*x1*x3^5, x1^2*x3^2, x1*x3*x1*x3^5, x1^2 ]
[ x1*x3^3, x1^2*x3*x1*x3^5, x1*x2, x1*x3*x1*x3^5, x1^2 ]
[ x3^3, x1, x3^2, x2*x3*x2*x3^5, x1^2 ]
[ x3^3, x1^2*x3*x2*x3^5, x3^2, x2*x3*x2*x3^5, x1^2 ]
[ x3^3, x1^3*x3*x2*x3^5, x3^2, x2*x3*x2*x3^5, x1^2 ]
[ x1, x1^2*x3*x2*x3^5, x3^2, x2*x3*x2*x3^5, x1^2 ]
[ x1^2*x2*x3^3, x1, x3^2, x2*x3*x2*x3^5, x1^2 ]
[ x1^3*x3^3, x1^2*x3*x2*x3^5, x3^2, x2*x3*x2*x3^5, x1^2 ]
[ x1^2*x2*x3^3, x1^3*x3*x2*x3^5, x3^2, x2*x3*x2*x3^5, x1^2 ]
[ x3^3, x1, x1^2*x3*x2*x3^5, x2*x3*x2*x3^5, x1^2 ]
[ x1^2*x3*x1*x3^2, x1*x3^6, x3^4, x1^2, x3^6 ]
[ x1^2*x3*x1*x3^2, x2, x3^4, x1^2, x3^6 ]
[ x1^2*x3*x1*x3^2, x1*x2*x3^6, x3^4, x1^2, x3^6 ]
[ x1*x3^6, x2, x3^4, x1^2, x3^6 ]
[ x1^2*x2*x3*x1*x3^2, x1*x3^6, x3^4, x1^2, x3^6 ]
[ x1^3*x3*x1*x3^2, x2, x3^4, x1^2, x3^6 ]
[ x1^2*x2*x3*x1*x3^2, x1*x2*x3^6, x3^4, x1^2, x3^6 ]
[ x1^2*x3*x1*x3^2, x1*x3^6, x2, x1^2, x3^6 ]
[ x3^3, x1, x3^4, x1^2, x1^3*x3*x1*x3^5 ]
[ x3^3, x2, x3^4, x1^2, x1^3*x3*x1*x3^5 ]
[ x3^3, x1*x2, x3^4, x1^2, x1^3*x3*x1*x3^5 ]
[ x1, x2, x3^4, x1^2, x1^3*x3*x1*x3^5 ]
[ x2*x3^3, x1, x3^4, x1^2, x1^3*x3*x1*x3^5 ]
[ x3*x1*x3^2, x2, x3^4, x1^2, x1^3*x3*x1*x3^5 ]
[ x2*x3^3, x1*x2, x3^4, x1^2, x1^3*x3*x1*x3^5 ]
[ x3^3, x1, x2, x1^2, x1^3*x3*x1*x3^5 ]
[ x4^3, x3, x2, x4^4, x1*x2*x1*x2 ]
[ x4^3, x3, x1, x4^4, x1*x2*x1*x2 ]
[ x4^3, x3, x2*x1, x4^4, x1*x2*x1*x2 ]
[ x4^3, x2, x1, x4^4, x1*x2*x1*x2 ]
[ x4^3, x1*x3, x2, x4^4, x1*x2*x1*x2 ]
[ x4^3, x2*x3, x1, x4^4, x1*x2*x1*x2 ]
[ x4^3, x1*x3, x2*x1, x4^4, x1*x2*x1*x2 ]
[ x3, x2, x1, x4^4, x1*x2*x1*x2 ]
[ x1*x4^3, x3, x2, x4^4, x1*x2*x1*x2 ]
[ x2*x4^3, x3, x1, x4^4, x1*x2*x1*x2 ]
[ x1*x4^3, x3, x2*x1, x4^4, x1*x2*x1*x2 ]
[ x3*x4^3, x2, x1, x4^4, x1*x2*x1*x2 ]
[ x1*x4^3, x1*x3, x2, x4^4, x1*x2*x1*x2 ]
[ x2*x4^3, x2*x3, x1, x4^4, x1*x2*x1*x2 ]
[ x1*x4^3, x1*x3, x2*x1, x4^4, x1*x2*x1*x2 ]
[ x4^3, x3, x2, x1, x1*x2*x1*x2 ]
[ x3^9, x3*x1*x3^11, x3^8, x3^6, x1*x3*x1*x3^11 ]
[ x3^9, x2, x3^8, x3^6, x1*x3*x1*x3^11 ]
[ x3^9, x2*x3*x1*x3^11, x3^8, x3^6, x1*x3*x1*x3^11 ]
[ x3*x1*x3^11, x2, x3^8, x3^6, x1*x3*x1*x3^11 ]
[ x2*x3^9, x3*x1*x3^11, x3^8, x3^6, x1*x3*x1*x3^11 ]
[ x1*x3^9, x2, x3^8, x3^6, x1*x3*x1*x3^11 ]
[ x2*x3^9, x2*x3*x1*x3^11, x3^8, x3^6, x1*x3*x1*x3^11 ]
[ x3^9, x3*x1*x3^11, x2, x3^6, x1*x3*x1*x3^11 ]
[ x2*x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1^2, x1^3*x3*x1*x3^3 ]
[ x2*x3*x1*x3^4, x1, x1*x3*x1*x3, x1^2, x1^3*x3*x1*x3^3 ]
[ x2*x3*x1*x3^4, x1^2*x2, x1*x3*x1*x3, x1^2, x1^3*x3*x1*x3^3 ]
[ x1*x2, x1, x1*x3*x1*x3, x1^2, x1^3*x3*x1*x3^3 ]
[ x1*x2*x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x1^2, x1^3*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x1, x1*x3*x1*x3, x1^2, x1^3*x3*x1*x3^3 ]
[ x1*x2*x3*x1*x3^4, x1^2*x2, x1*x3*x1*x3, x1^2, x1^3*x3*x1*x3^3 ]
[ x2*x3*x1*x3^4, x1*x2, x1, x1*x3*x1*x3, x1^2 ]
[ x1*x3*x1*x3^4, x2, x1*x3*x1*x3, x2^2, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x1, x1*x3*x1*x3, x2^2, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x2^2, x1*x3*x1*x3^3 ]
[ x2, x1, x1*x3*x1*x3, x2^2, x1*x3*x1*x3^3 ]
[ x3*x1*x3^4, x2, x1*x3*x1*x3, x2^2, x1*x3*x1*x3^3 ]
[ x1*x2*x3*x1*x3^4, x1, x1*x3*x1*x3, x2^2, x1*x3*x1*x3^3 ]
[ x3*x1*x3^4, x1*x2, x1*x3*x1*x3, x2^2, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x2, x1, x1*x3*x1*x3, x2^2 ]
[ x3, x2, x3^2, x2^2, x1*x3*x1*x3^3 ]
[ x3, x1*x3*x1*x3*x1*x3^2, x3^2, x2^2, x1*x3*x1*x3^3 ]
[ x3, x1*x2*x3*x1*x3*x1*x3^2, x3^2, x2^2, x1*x3*x1*x3^3 ]
[ x2, x1*x3*x1*x3*x1*x3^2, x3^2, x2^2, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, x2, x3^2, x2^2, x1*x3*x1*x3^3 ]
[ x2*x3, x1*x3*x1*x3*x1*x3^2, x3^2, x2^2, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3*x1*x3^3, x1*x2*x3*x1*x3*x1*x3^2, x3^2, x2^2, x1*x3*x1*x3^3 ]
[ x3, x2, x1*x3*x1*x3*x1*x3^2, x3^2, x2^2 ]
[ x1^2*x2*x3*x1*x3*x1*x3^3, x1*x2, x3^2, x1^2, x1^3*x3*x1*x3^3 ]
[ x1^2*x2*x3*x1*x3*x1*x3^3, x1, x3^2, x1^2, x1^3*x3*x1*x3^3 ]
[ x1^2*x2*x3*x1*x3*x1*x3^3, x1^2*x2, x3^2, x1^2, x1^3*x3*x1*x3^3 ]
[ x1*x2, x1, x3^2, x1^2, x1^3*x3*x1*x3^3 ]
[ x1^3*x2*x3*x1*x3*x1*x3^3, x1*x2, x3^2, x1^2, x1^3*x3*x1*x3^3 ]
[ x1^3*x3*x1*x3*x1*x3^3, x1, x3^2, x1^2, x1^3*x3*x1*x3^3 ]
[ x1^3*x2*x3*x1*x3*x1*x3^3, x1^2*x2, x3^2, x1^2, x1^3*x3*x1*x3^3 ]
[ x1^2*x2*x3*x1*x3*x1*x3^3, x1*x2, x1, x3^2, x1^2 ]
[ x1*x3*x1*x3^4, x2, x1*x3*x1*x3, x2^2, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x1*x3^4, x1*x3*x1*x3, x2^2, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x1*x2*x3^4, x1*x3*x1*x3, x2^2, x1*x3*x1*x3^3 ]
[ x2, x1*x3^4, x1*x3*x1*x3, x2^2, x1*x3*x1*x3^3 ]
[ x1*x3, x2, x1*x3*x1*x3, x2^2, x1*x3*x1*x3^3 ]
[ x1*x2*x3*x1*x3^4, x1*x3^4, x1*x3*x1*x3, x2^2, x1*x3*x1*x3^3 ]
[ x1*x3, x1*x2*x3^4, x1*x3*x1*x3, x2^2, x1*x3*x1*x3^3 ]
[ x1*x3*x1*x3^4, x2, x1*x3^4, x1*x3*x1*x3, x2^2 ]
[ x2*x3, x1*x3^4, x1^2, x1*x3*x1*x3, x1*x2*x3*x1*x2*x3 ]
[ x2*x3, x2*x3^4, x1^2, x1*x3*x1*x3, x1*x2*x3*x1*x2*x3 ]
[ x2*x3, x1*x2, x1^2, x1*x3*x1*x3, x1*x2*x3*x1*x2*x3 ]
[ x1*x3^4, x2*x3^4, x1^2, x1*x3*x1*x3, x1*x2*x3*x1*x2*x3 ]
[ x1^2*x3^3, x1*x3^4, x1^2, x1*x3*x1*x3, x1*x2*x3*x1*x2*x3 ]
[ x1^3*x3^3*x2, x2*x3^4, x1^2, x1*x3*x1*x3, x1*x2*x3*x1*x2*x3 ]
[ x1^2*x3^3, x1*x2, x1^2, x1*x3*x1*x3, x1*x2*x3*x1*x2*x3 ]
[ x2*x3, x1*x3^4, x2*x3^4, x1^2, x1*x3*x1*x3 ]
[ x3^3, x1, x1^2, x2*x3*x2*x3, x3^2 ]
[ x3^3, x1*x2, x1^2, x2*x3*x2*x3, x3^2 ]
[ x3^3, x1^2*x2, x1^2, x2*x3*x2*x3, x3^2 ]
[ x1, x1*x2, x1^2, x2*x3*x2*x3, x3^2 ]
[ x1*x3^3*x2, x1, x1^2, x2*x3*x2*x3, x3^2 ]
[ x1*x3^3, x1*x2, x1^2, x2*x3*x2*x3, x3^2 ]
[ x1*x3^3*x2, x1^2*x2, x1^2, x2*x3*x2*x3, x3^2 ]
[ x3^3, x1, x1*x2, x1^2, x2*x3*x2*x3 ]
[ x3^3, x2, x1^2, x1^2*x2^2, x3^2 ]
[ x3^3, x3^2*x1, x1^2, x1^2*x2^2, x3^2 ]
[ x3^3, x2*x3^2*x1, x1^2, x1^2*x2^2, x3^2 ]
[ x2, x3^2*x1, x1^2, x1^2*x2^2, x3^2 ]
[ x1*x3, x2, x1^2, x1^2*x2^2, x3^2 ]
[ x1^3*x2*x1*x3^3, x3^2*x1, x1^2, x1^2*x2^2, x3^2 ]
[ x1*x3, x2*x3^2*x1, x1^2, x1^2*x2^2, x3^2 ]
[ x3^3, x2, x3^2*x1, x1^2, x1^2*x2^2 ]
[ x1*x2*x3, x2, x1*x2*x1*x2, x1*x2*x1*x2^3, x3^2 ]
[ x1*x2*x3, x3^2*x1, x1*x2*x1*x2, x1*x2*x1*x2^3, x3^2 ]
[ x1*x2*x3, x2*x3^2*x1, x1*x2*x1*x2, x1*x2*x1*x2^3, x3^2 ]
[ x2, x3^2*x1, x1*x2*x1*x2, x1*x2*x1*x2^3, x3^2 ]
[ x2*x3^3, x2, x1*x2*x1*x2, x1*x2*x1*x2^3, x3^2 ]
[ x2*x1*x2*x3, x3^2*x1, x1*x2*x1*x2, x1*x2*x1*x2^3, x3^2 ]
[ x2*x3^3, x2*x3^2*x1, x1*x2*x1*x2, x1*x2*x1*x2^3, x3^2 ]
[ x1*x2*x3, x2, x3^2*x1, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x2^3*x3*x2*x3*x2*x3, x2, x1*x2*x1*x2, x1*x2*x1*x2^3,
x1*x2*x1*x2^2*x3*x2*x3 ]
[ x1*x2^3*x3*x2*x3*x2*x3, x1, x1*x2*x1*x2, x1*x2*x1*x2^3,
x1*x2*x1*x2^2*x3*x2*x3 ]
[ x1*x2^3*x3*x2*x3*x2*x3, x2*x1, x1*x2*x1*x2, x1*x2*x1*x2^3,
x1*x2*x1*x2^2*x3*x2*x3 ]
[ x2, x1, x1*x2*x1*x2, x1*x2*x1*x2^3, x1*x2*x1*x2^2*x3*x2*x3 ]
[ x2^3*x3*x2*x3*x2*x3, x2, x1*x2*x1*x2, x1*x2*x1*x2^3, x1*x2*x1*x2^2*x3*x2*x3
]
[ x2*x1*x2^3*x3*x2*x3*x2*x3, x1, x1*x2*x1*x2, x1*x2*x1*x2^3,
x1*x2*x1*x2^2*x3*x2*x3 ]
[ x2^3*x3*x2*x3*x2*x3, x2*x1, x1*x2*x1*x2, x1*x2*x1*x2^3,
x1*x2*x1*x2^2*x3*x2*x3 ]
[ x1*x2^3*x3*x2*x3*x2*x3, x2, x1, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x2^3*x3*x2*x3*x2*x3, x2, x1*x2*x1*x2, x1*x2*x1*x2^3, x1*x2*x1*x2^2*x3*x2*x3
]
[ x2^3*x3*x2*x3*x2*x3, x1, x1*x2*x1*x2, x1*x2*x1*x2^3, x1*x2*x1*x2^2*x3*x2*x3
]
[ x2^3*x3*x2*x3*x2*x3, x2*x1, x1*x2*x1*x2, x1*x2*x1*x2^3,
x1*x2*x1*x2^2*x3*x2*x3 ]
[ x2, x1, x1*x2*x1*x2, x1*x2*x1*x2^3, x1*x2*x1*x2^2*x3*x2*x3 ]
[ x1*x2^3*x3*x2*x3*x2*x3, x2, x1*x2*x1*x2, x1*x2*x1*x2^3,
x1*x2*x1*x2^2*x3*x2*x3 ]
[ x1*x2*x1*x2^3*x3*x2*x3*x2*x3, x1, x1*x2*x1*x2, x1*x2*x1*x2^3,
x1*x2*x1*x2^2*x3*x2*x3 ]
[ x1*x2^3*x3*x2*x3*x2*x3, x2*x1, x1*x2*x1*x2, x1*x2*x1*x2^3,
x1*x2*x1*x2^2*x3*x2*x3 ]
[ x2^3*x3*x2*x3*x2*x3, x2, x1, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x2^3*x3*x2*x3*x2*x3, x2, x1*x2*x1*x2, x1*x2*x1*x2^3,
x1*x2*x1*x2^2*x3*x2*x3 ]
[ x1*x2^3*x3*x2*x3*x2*x3, x1, x1*x2*x1*x2, x1*x2*x1*x2^3,
x1*x2*x1*x2^2*x3*x2*x3 ]
[ x1*x2^3*x3*x2*x3*x2*x3, x2*x1, x1*x2*x1*x2, x1*x2*x1*x2^3,
x1*x2*x1*x2^2*x3*x2*x3 ]
[ x2, x1, x1*x2*x1*x2, x1*x2*x1*x2^3, x1*x2*x1*x2^2*x3*x2*x3 ]
[ x2^3*x3*x2*x3*x2*x3, x2, x1*x2*x1*x2, x1*x2*x1*x2^3, x1*x2*x1*x2^2*x3*x2*x3
]
[ x2*x1*x2^3*x3*x2*x3*x2*x3, x1, x1*x2*x1*x2, x1*x2*x1*x2^3,
x1*x2*x1*x2^2*x3*x2*x3 ]
[ x2^3*x3*x2*x3*x2*x3, x2*x1, x1*x2*x1*x2, x1*x2*x1*x2^3,
x1*x2*x1*x2^2*x3*x2*x3 ]
[ x1*x2^3*x3*x2*x3*x2*x3, x2, x1, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x2^3*x3*x2*x3*x2*x3, x2, x1*x2*x1*x2, x1*x2*x1*x2^3, x1*x2*x1*x2^2*x3*x2*x3
]
[ x2^3*x3*x2*x3*x2*x3, x1, x1*x2*x1*x2, x1*x2*x1*x2^3, x1*x2*x1*x2^2*x3*x2*x3
]
[ x2^3*x3*x2*x3*x2*x3, x2*x1, x1*x2*x1*x2, x1*x2*x1*x2^3,
x1*x2*x1*x2^2*x3*x2*x3 ]
[ x2, x1, x1*x2*x1*x2, x1*x2*x1*x2^3, x1*x2*x1*x2^2*x3*x2*x3 ]
[ x1*x2^3*x3*x2*x3*x2*x3, x2, x1*x2*x1*x2, x1*x2*x1*x2^3,
x1*x2*x1*x2^2*x3*x2*x3 ]
[ x1*x2*x1*x2^3*x3*x2*x3*x2*x3, x1, x1*x2*x1*x2, x1*x2*x1*x2^3,
x1*x2*x1*x2^2*x3*x2*x3 ]
[ x1*x2^3*x3*x2*x3*x2*x3, x2*x1, x1*x2*x1*x2, x1*x2*x1*x2^3,
x1*x2*x1*x2^2*x3*x2*x3 ]
[ x2^3*x3*x2*x3*x2*x3, x2, x1, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x2^3*x3^3, x2, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2^3*x3^2 ]
[ x1*x2*x1*x2^3*x3^3, x2*x1*x2^3*x3^2, x2^2, x1*x2*x1*x2^3,
x1*x2*x1*x2^3*x3^2 ]
[ x1*x2*x1*x2^3*x3^3, x1*x2*x3^2, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2^3*x3^2 ]
[ x2, x2*x1*x2^3*x3^2, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2^3*x3^2 ]
[ x3*x1, x2, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2^3*x3^2 ]
[ x2*x3^3, x2*x1*x2^3*x3^2, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2^3*x3^2 ]
[ x3*x1, x1*x2*x3^2, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2^3*x3^2 ]
[ x1*x2*x1*x2^3*x3^3, x2, x2*x1*x2^3*x3^2, x2^2, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x3^3, x2, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2^3*x3^2 ]
[ x1*x2*x1*x3^3, x1, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2^3*x3^2 ]
[ x1*x2*x1*x3^3, x2*x1, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2^3*x3^2 ]
[ x2, x1, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2^3*x3^2 ]
[ x2*x1*x3^3, x2, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2^3*x3^2 ]
[ x2^2*x3^3, x1, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2^3*x3^2 ]
[ x2*x1*x3^3, x2*x1, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2^3*x3^2 ]
[ x1*x2*x1*x3^3, x2, x1, x2^2, x1*x2*x1*x2^3 ]
[ x2*x1*x3^3, x2*x1, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2^3*x3^2 ]
[ x2*x1*x3^3, x1, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2^3*x3^2 ]
[ x2*x1*x3^3, x2, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2^3*x3^2 ]
[ x2*x1, x1, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2^3*x3^2 ]
[ x1*x2*x1*x3^3, x2*x1, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2^3*x3^2 ]
[ x1*x2*x1*x2*x3^3, x1, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2^3*x3^2 ]
[ x1*x2*x1*x3^3, x2, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2^3*x3^2 ]
[ x2*x1*x3^3, x2*x1, x1, x2^2, x1*x2*x1*x2^3 ]
[ x3^3, x1*x3^2, x1^2, x1^3*x3*x1*x3, x3^2 ]
[ x3^3, x2, x1^2, x1^3*x3*x1*x3, x3^2 ]
[ x3^3, x1*x2*x3^2, x1^2, x1^3*x3*x1*x3, x3^2 ]
[ x1*x3^2, x2, x1^2, x1^3*x3*x1*x3, x3^2 ]
[ x3*x2*x3^2, x1*x3^2, x1^2, x1^3*x3*x1*x3, x3^2 ]
[ x3*x1, x2, x1^2, x1^3*x3*x1*x3, x3^2 ]
[ x3*x2*x3^2, x1*x2*x3^2, x1^2, x1^3*x3*x1*x3, x3^2 ]
[ x3^3, x1*x3^2, x2, x1^2, x1^3*x3*x1*x3 ]
[ x3*x1, x1*x3^2, x1^2, x1^3*x3*x1*x3, x3^2 ]
[ x3*x1, x1*x2*x3^2, x1^2, x1^3*x3*x1*x3, x3^2 ]
[ x3*x1, x1^2*x2, x1^2, x1^3*x3*x1*x3, x3^2 ]
[ x1*x3^2, x1*x2*x3^2, x1^2, x1^3*x3*x1*x3, x3^2 ]
[ x1^2*x3*x2*x3^2, x1*x3^2, x1^2, x1^3*x3*x1*x3, x3^2 ]
[ x1^2*x3^3, x1*x2*x3^2, x1^2, x1^3*x3*x1*x3, x3^2 ]
[ x1^2*x3*x2*x3^2, x1^2*x2, x1^2, x1^3*x3*x1*x3, x3^2 ]
[ x3*x1, x1*x3^2, x1*x2*x3^2, x1^2, x1^3*x3*x1*x3 ]
[ x3^3, x1, x1^2, x1^3*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x2, x1^2, x1^3*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1*x2, x1^2, x1^3*x2*x3*x1*x2*x3, x3^2 ]
[ x1, x2, x1^2, x1^3*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2*x3^2, x1, x1^2, x1^3*x2*x3*x1*x2*x3, x3^2 ]
[ x1*x3^3, x2, x1^2, x1^3*x2*x3*x1*x2*x3, x3^2 ]
[ x3*x2*x3^2, x1*x2, x1^2, x1^3*x2*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1, x2, x1^2, x1^3*x2*x3*x1*x2*x3 ]
[ x1*x2*x3, x1^2*x3*x1*x3*x1*x3*x1*x3, x1^2,
x1^3*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3, x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x1*x2*x3, x1*x2*x3*x1*x3*x1*x3*x1*x3, x1^2,
x1^3*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3, x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x1*x2*x3, x1*x2, x1^2, x1^3*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3,
x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x1^2*x3*x1*x3*x1*x3*x1*x3, x1*x2*x3*x1*x3*x1*x3*x1*x3, x1^2,
x1^3*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3, x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x1^3*x3*x1*x3*x1*x3, x1^2*x3*x1*x3*x1*x3*x1*x3, x1^2,
x1^3*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3, x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x2*x3*x1*x3*x1*x3, x1*x2*x3*x1*x3*x1*x3*x1*x3, x1^2,
x1^3*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3, x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x1^3*x3*x1*x3*x1*x3, x1*x2, x1^2, x1^3*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3,
x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x1*x2*x3, x1^2*x3*x1*x3*x1*x3*x1*x3, x1*x2*x3*x1*x3*x1*x3*x1*x3, x1^2,
x1^3*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3 ]
[ x2*x3*x2*x3*x2*x3*x2, x1, x1^2, x2*x3*x2*x3*x2*x3*x2*x3*x2*x3*x2*x3,
x3*x2*x3*x2*x3*x2*x3*x2 ]
[ x2*x3*x2*x3*x2*x3*x2, x2, x1^2, x2*x3*x2*x3*x2*x3*x2*x3*x2*x3*x2*x3,
x3*x2*x3*x2*x3*x2*x3*x2 ]
[ x2*x3*x2*x3*x2*x3*x2, x1*x2, x1^2, x2*x3*x2*x3*x2*x3*x2*x3*x2*x3*x2*x3,
x3*x2*x3*x2*x3*x2*x3*x2 ]
[ x1, x2, x1^2, x2*x3*x2*x3*x2*x3*x2*x3*x2*x3*x2*x3, x3*x2*x3*x2*x3*x2*x3*x2 ]
[ x2*x3*x2*x3*x2*x3, x1, x1^2, x2*x3*x2*x3*x2*x3*x2*x3*x2*x3*x2*x3,
x3*x2*x3*x2*x3*x2*x3*x2 ]
[ x1*x2*x3*x2*x3*x2*x3*x2, x2, x1^2, x2*x3*x2*x3*x2*x3*x2*x3*x2*x3*x2*x3,
x3*x2*x3*x2*x3*x2*x3*x2 ]
[ x2*x3*x2*x3*x2*x3, x1*x2, x1^2, x2*x3*x2*x3*x2*x3*x2*x3*x2*x3*x2*x3,
x3*x2*x3*x2*x3*x2*x3*x2 ]
[ x2*x3*x2*x3*x2*x3*x2, x1, x2, x1^2, x2*x3*x2*x3*x2*x3*x2*x3*x2*x3*x2*x3 ]
[ x1^3*x3*x1*x3*x1*x3, x2, x1^2, x1^2*x2^2, x1^3*x3*x1*x3 ]
[ x1^3*x3*x1*x3*x1*x3, x1^3*x3*x1*x3*x1, x1^2, x1^2*x2^2, x1^3*x3*x1*x3 ]
[ x1^3*x3*x1*x3*x1*x3, x1^2*x2*x1*x3*x1*x3*x1, x1^2, x1^2*x2^2, x1^3*x3*x1*x3
]
[ x2, x1^3*x3*x1*x3*x1, x1^2, x1^2*x2^2, x1^3*x3*x1*x3 ]
[ x1^2*x3, x2, x1^2, x1^2*x2^2, x1^3*x3*x1*x3 ]
[ x1^2*x2*x1*x3*x1*x3*x1*x3, x1^3*x3*x1*x3*x1, x1^2, x1^2*x2^2, x1^3*x3*x1*x3
]
[ x1^2*x3, x1^2*x2*x1*x3*x1*x3*x1, x1^2, x1^2*x2^2, x1^3*x3*x1*x3 ]
[ x1^3*x3*x1*x3*x1*x3, x2, x1^3*x3*x1*x3*x1, x1^2, x1^2*x2^2 ]
[ x1*x2*x1*x2*x3*x1*x3*x1*x3, x2*x1, x1*x2*x1*x2, x1*x2*x1*x2^3,
x2*x1*x2*x3*x1*x3 ]
[ x1*x2*x1*x2*x3*x1*x3*x1*x3, x1, x1*x2*x1*x2, x1*x2*x1*x2^3,
x2*x1*x2*x3*x1*x3 ]
[ x1*x2*x1*x2*x3*x1*x3*x1*x3, x2, x1*x2*x1*x2, x1*x2*x1*x2^3,
x2*x1*x2*x3*x1*x3 ]
[ x2*x1, x1, x1*x2*x1*x2, x1*x2*x1*x2^3, x2*x1*x2*x3*x1*x3 ]
[ x2*x1*x2*x3*x1*x3*x1*x3, x2*x1, x1*x2*x1*x2, x1*x2*x1*x2^3,
x2*x1*x2*x3*x1*x3 ]
[ x2*x1*x2^2*x3*x1*x3*x1*x3, x1, x1*x2*x1*x2, x1*x2*x1*x2^3,
x2*x1*x2*x3*x1*x3 ]
[ x2*x1*x2*x3*x1*x3*x1*x3, x2, x1*x2*x1*x2, x1*x2*x1*x2^3, x2*x1*x2*x3*x1*x3 ]
[ x1*x2*x1*x2*x3*x1*x3*x1*x3, x2*x1, x1, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x3^3, x3^2*x1, x1*x3*x1*x3, x1^3*x3*x1*x3, x3^2 ]
[ x3^3, x2*x3^2*x1, x1*x3*x1*x3, x1^3*x3*x1*x3, x3^2 ]
[ x3^3, x1^2*x2, x1*x3*x1*x3, x1^3*x3*x1*x3, x3^2 ]
[ x3^2*x1, x2*x3^2*x1, x1*x3*x1*x3, x1^3*x3*x1*x3, x3^2 ]
[ x2*x3*x1*x3^2, x3^2*x1, x1*x3*x1*x3, x1^3*x3*x1*x3, x3^2 ]
[ x3*x1*x3^2, x2*x3^2*x1, x1*x3*x1*x3, x1^3*x3*x1*x3, x3^2 ]
[ x2*x3*x1*x3^2, x1^2*x2, x1*x3*x1*x3, x1^3*x3*x1*x3, x3^2 ]
[ x3^3, x3^2*x1, x2*x3^2*x1, x1*x3*x1*x3, x1^3*x3*x1*x3 ]
[ x2*x3, x1^2*x3*x1*x3*x1*x3*x1*x3, x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3,
x1^3*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3, x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x2*x3, x1^2*x2*x3*x1*x3*x1*x3*x1*x3, x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3,
x1^3*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3, x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x2*x3, x1^2*x2, x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3,
x1^3*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3, x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x1^2*x3*x1*x3*x1*x3*x1*x3, x1^2*x2*x3*x1*x3*x1*x3*x1*x3,
x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3, x1^3*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3,
x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x1^3*x3*x1*x3*x1*x3, x1^2*x3*x1*x3*x1*x3*x1*x3,
x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3, x1^3*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3,
x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x1^3*x2*x3*x1*x3*x1*x3, x1^2*x2*x3*x1*x3*x1*x3*x1*x3,
x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3, x1^3*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3,
x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x1^3*x3*x1*x3*x1*x3, x1^2*x2, x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3,
x1^3*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3, x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x2*x3, x1^2*x3*x1*x3*x1*x3*x1*x3, x1^2*x2*x3*x1*x3*x1*x3*x1*x3,
x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3, x1^3*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3 ]
[ x2^3*x3*x2*x3^2, x2^3*x3*x2*x3*x1, x2^2, x1*x3*x1*x3, x2^3*x3*x2*x3 ]
[ x2^3*x3*x2*x3^2, x1*x2*x3*x1*x3, x2^2, x1*x3*x1*x3, x2^3*x3*x2*x3 ]
[ x2^3*x3*x2*x3^2, x2*x3^2*x1, x2^2, x1*x3*x1*x3, x2^3*x3*x2*x3 ]
[ x2^3*x3*x2*x3*x1, x1*x2*x3*x1*x3, x2^2, x1*x3*x1*x3, x2^3*x3*x2*x3 ]
[ x3*x2*x3^2, x2^3*x3*x2*x3*x1, x2^2, x1*x3*x1*x3, x2^3*x3*x2*x3 ]
[ x1*x3, x1*x2*x3*x1*x3, x2^2, x1*x3*x1*x3, x2^3*x3*x2*x3 ]
[ x3*x2*x3^2, x2*x3^2*x1, x2^2, x1*x3*x1*x3, x2^3*x3*x2*x3 ]
[ x2^3*x3*x2*x3^2, x2^3*x3*x2*x3*x1, x1*x2*x3*x1*x3, x2^2, x1*x3*x1*x3 ]
[ x3*x2*x3^2, x1, x2^2, x1*x3*x1*x3, x2^3*x3*x2*x3 ]
[ x3*x2*x3^2, x1*x2*x3*x1*x3, x2^2, x1*x3*x1*x3, x2^3*x3*x2*x3 ]
[ x3*x2*x3^2, x2*x3*x1*x3, x2^2, x1*x3*x1*x3, x2^3*x3*x2*x3 ]
[ x1, x1*x2*x3*x1*x3, x2^2, x1*x3*x1*x3, x2^3*x3*x2*x3 ]
[ x2*x3*x2*x3^2, x1, x2^2, x1*x3*x1*x3, x2^3*x3*x2*x3 ]
[ x1*x3*x2*x3^2, x1*x2*x3*x1*x3, x2^2, x1*x3*x1*x3, x2^3*x3*x2*x3 ]
[ x2*x3*x2*x3^2, x2*x3*x1*x3, x2^2, x1*x3*x1*x3, x2^3*x3*x2*x3 ]
[ x3*x2*x3^2, x1, x1*x2*x3*x1*x3, x2^2, x1*x3*x1*x3 ]
[ x2^3*x3*x2*x3^2, x2^3*x3*x2*x3*x1, x2^2, x1*x3*x1*x3, x2^3*x3*x2*x3 ]
[ x2^3*x3*x2*x3^2, x2, x2^2, x1*x3*x1*x3, x2^3*x3*x2*x3 ]
[ x2^3*x3*x2*x3^2, x3*x2*x3*x1, x2^2, x1*x3*x1*x3, x2^3*x3*x2*x3 ]
[ x2^3*x3*x2*x3*x1, x2, x2^2, x1*x3*x1*x3, x2^3*x3*x2*x3 ]
[ x2*x3^3, x2^3*x3*x2*x3*x1, x2^2, x1*x3*x1*x3, x2^3*x3*x2*x3 ]
[ x1*x3, x2, x2^2, x1*x3*x1*x3, x2^3*x3*x2*x3 ]
[ x2*x3^3, x3*x2*x3*x1, x2^2, x1*x3*x1*x3, x2^3*x3*x2*x3 ]
[ x2^3*x3*x2*x3^2, x2^3*x3*x2*x3*x1, x2, x2^2, x1*x3*x1*x3 ]
[ x2*x3*x2*x3^4, x1, x2*x3*x2*x3, x1*x2*x3*x1*x3*x2*x3^2, x2*x3*x2*x3^3 ]
[ x2*x3*x2*x3^4, x2, x2*x3*x2*x3, x1*x2*x3*x1*x3*x2*x3^2, x2*x3*x2*x3^3 ]
[ x2*x3*x2*x3^4, x1*x2, x2*x3*x2*x3, x1*x2*x3*x1*x3*x2*x3^2, x2*x3*x2*x3^3 ]
[ x1, x2, x2*x3*x2*x3, x1*x2*x3*x1*x3*x2*x3^2, x2*x3*x2*x3^3 ]
[ x3*x2*x3^4, x1, x2*x3*x2*x3, x1*x2*x3*x1*x3*x2*x3^2, x2*x3*x2*x3^3 ]
[ x2*x3*x1*x2*x3^4, x2, x2*x3*x2*x3, x1*x2*x3*x1*x3*x2*x3^2, x2*x3*x2*x3^3 ]
[ x3*x2*x3^4, x1*x2, x2*x3*x2*x3, x1*x2*x3*x1*x3*x2*x3^2, x2*x3*x2*x3^3 ]
[ x2*x3*x2*x3^4, x1, x2, x2*x3*x2*x3, x1*x2*x3*x1*x3*x2*x3^2 ]
[ x2*x3*x2*x3^4, x1*x3^4, x2*x3*x2*x3, x1*x2*x3*x1*x3^2*x2*x3, x2*x3*x2*x3^3 ]
[ x2*x3*x2*x3^4, x2*x3^4, x2*x3*x2*x3, x1*x2*x3*x1*x3^2*x2*x3, x2*x3*x2*x3^3 ]
[ x2*x3*x2*x3^4, x1*x2, x2*x3*x2*x3, x1*x2*x3*x1*x3^2*x2*x3, x2*x3*x2*x3^3 ]
[ x1*x3^4, x2*x3^4, x2*x3*x2*x3, x1*x2*x3*x1*x3^2*x2*x3, x2*x3*x2*x3^3 ]
[ x2*x3, x1*x3^4, x2*x3*x2*x3, x1*x2*x3*x1*x3^2*x2*x3, x2*x3*x2*x3^3 ]
[ x2*x3*x1*x2, x2*x3^4, x2*x3*x2*x3, x1*x2*x3*x1*x3^2*x2*x3, x2*x3*x2*x3^3 ]
[ x2*x3, x1*x2, x2*x3*x2*x3, x1*x2*x3*x1*x3^2*x2*x3, x2*x3*x2*x3^3 ]
[ x2*x3*x2*x3^4, x1*x3^4, x2*x3^4, x2*x3*x2*x3, x1*x2*x3*x1*x3^2*x2*x3 ]
[ x3^3, x3^2*x1, x1*x2*x3*x1*x2*x3, x1*x2^3*x3*x1*x2*x3, x3^2 ]
[ x3^3, x2, x1*x2*x3*x1*x2*x3, x1*x2^3*x3*x1*x2*x3, x3^2 ]
[ x3^3, x2*x3^2*x1, x1*x2*x3*x1*x2*x3, x1*x2^3*x3*x1*x2*x3, x3^2 ]
[ x3^2*x1, x2, x1*x2*x3*x1*x2*x3, x1*x2^3*x3*x1*x2*x3, x3^2 ]
[ x3*x2*x3^2, x3^2*x1, x1*x2*x3*x1*x2*x3, x1*x2^3*x3*x1*x2*x3, x3^2 ]
[ x1*x3, x2, x1*x2*x3*x1*x2*x3, x1*x2^3*x3*x1*x2*x3, x3^2 ]
[ x3*x2*x3^2, x2*x3^2*x1, x1*x2*x3*x1*x2*x3, x1*x2^3*x3*x1*x2*x3, x3^2 ]
[ x3^3, x3^2*x1, x2, x1*x2*x3*x1*x2*x3, x1*x2^3*x3*x1*x2*x3 ]
[ x1*x3^3, x2*x1, x1*x2*x1*x2, x1*x2*x1*x2^3, x3^2 ]
[ x1*x3^3, x1, x1*x2*x1*x2, x1*x2*x1*x2^3, x3^2 ]
[ x1*x3^3, x2, x1*x2*x1*x2, x1*x2*x1*x2^3, x3^2 ]
[ x2*x1, x1, x1*x2*x1*x2, x1*x2*x1*x2^3, x3^2 ]
[ x3^3, x2*x1, x1*x2*x1*x2, x1*x2*x1*x2^3, x3^2 ]
[ x2*x3^3, x1, x1*x2*x1*x2, x1*x2*x1*x2^3, x3^2 ]
[ x3^3, x2, x1*x2*x1*x2, x1*x2*x1*x2^3, x3^2 ]
[ x1*x3^3, x2*x1, x1, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1^3*x3*x1*x3*x1*x3, x1^3*x3*x1*x3*x1, x1^2, x3^2, x1^3*x3*x1*x3 ]
[ x1^3*x3*x1*x3*x1*x3, x1^3*x2*x3*x1*x3*x1, x1^2, x3^2, x1^3*x3*x1*x3 ]
[ x1^3*x3*x1*x3*x1*x3, x1^2*x2, x1^2, x3^2, x1^3*x3*x1*x3 ]
[ x1^3*x3*x1*x3*x1, x1^3*x2*x3*x1*x3*x1, x1^2, x3^2, x1^3*x3*x1*x3 ]
[ x1^2*x2*x3^3, x1^3*x3*x1*x3*x1, x1^2, x3^2, x1^3*x3*x1*x3 ]
[ x1^2*x3^3, x1^3*x2*x3*x1*x3*x1, x1^2, x3^2, x1^3*x3*x1*x3 ]
[ x1^2*x2*x3^3, x1^2*x2, x1^2, x3^2, x1^3*x3*x1*x3 ]
[ x1^3*x3*x1*x3*x1*x3, x1^3*x3*x1*x3*x1, x1^3*x2*x3*x1*x3*x1, x1^2, x3^2 ]
[ x1*x2*x3, x1*x3^4, x1^2, x3^6, x1^3*x3^4*x1 ]
[ x1*x2*x3, x1*x2*x3^4, x1^2, x3^6, x1^3*x3^4*x1 ]
[ x1*x2*x3, x1^2*x2, x1^2, x3^6, x1^3*x3^4*x1 ]
[ x1*x3^4, x1*x2*x3^4, x1^2, x3^6, x1^3*x3^4*x1 ]
[ x1^2*x3^3, x1*x3^4, x1^2, x3^6, x1^3*x3^4*x1 ]
[ x1^2*x2*x3^3, x1*x2*x3^4, x1^2, x3^6, x1^3*x3^4*x1 ]
[ x1^2*x3^3, x1^2*x2, x1^2, x3^6, x1^3*x3^4*x1 ]
[ x1*x2*x3, x1*x3^4, x1*x2*x3^4, x1^2, x3^6 ]
[ x1*x3^4*x1*x3, x1*x3^4, x3^6, x1*x3*x1*x3^7, x1*x3^4*x1 ]
[ x1*x3^4*x1*x3, x1*x2*x3^4, x3^6, x1*x3*x1*x3^7, x1*x3^4*x1 ]
[ x1*x3^4*x1*x3, x2, x3^6, x1*x3*x1*x3^7, x1*x3^4*x1 ]
[ x1*x3^4, x1*x2*x3^4, x3^6, x1*x3*x1*x3^7, x1*x3^4*x1 ]
[ x2*x3^5*x1, x1*x3^4, x3^6, x1*x3*x1*x3^7, x1*x3^4*x1 ]
[ x3^5*x1, x1*x2*x3^4, x3^6, x1*x3*x1*x3^7, x1*x3^4*x1 ]
[ x2*x3^5*x1, x2, x3^6, x1*x3*x1*x3^7, x1*x3^4*x1 ]
[ x1*x3^4*x1*x3, x1*x3^4, x1*x2*x3^4, x3^6, x1*x3*x1*x3^7 ]
[ x3^3, x1, x1*x3*x1*x3, x1*x2*x3*x2*x3*x1*x3^2, x3^2 ]
[ x3^3, x1*x3*x1*x2*x3, x1*x3*x1*x3, x1*x2*x3*x2*x3*x1*x3^2, x3^2 ]
[ x3^3, x3*x1*x2*x3, x1*x3*x1*x3, x1*x2*x3*x2*x3*x1*x3^2, x3^2 ]
[ x1, x1*x3*x1*x2*x3, x1*x3*x1*x3, x1*x2*x3*x2*x3*x1*x3^2, x3^2 ]
[ x1*x2*x3^3*x1, x1, x1*x3*x1*x3, x1*x2*x3*x2*x3*x1*x3^2, x3^2 ]
[ x3^3*x1, x1*x3*x1*x2*x3, x1*x3*x1*x3, x1*x2*x3*x2*x3*x1*x3^2, x3^2 ]
[ x1*x2*x3^3*x1, x3*x1*x2*x3, x1*x3*x1*x3, x1*x2*x3*x2*x3*x1*x3^2, x3^2 ]
[ x3^3, x1, x1*x3*x1*x2*x3, x1*x3*x1*x3, x1*x2*x3*x2*x3*x1*x3^2 ]
[ x3^3, x3^2*x1, x1*x3*x1*x3, x1^2, x3^2 ]
[ x3^3, x2*x3^2*x1, x1*x3*x1*x3, x1^2, x3^2 ]
[ x3^3, x2, x1*x3*x1*x3, x1^2, x3^2 ]
[ x3^2*x1, x2*x3^2*x1, x1*x3*x1*x3, x1^2, x3^2 ]
[ x1^3*x2*x3, x3^2*x1, x1*x3*x1*x3, x1^2, x3^2 ]
[ x1*x2*x3*x2, x2*x3^2*x1, x1*x3*x1*x3, x1^2, x3^2 ]
[ x1^3*x2*x3, x2, x1*x3*x1*x3, x1^2, x3^2 ]
[ x3^3, x3^2*x1, x2*x3^2*x1, x1*x3*x1*x3, x1^2 ]
[ x3^3, x1, x1*x3*x1*x3, x1*x2*x1*x2, x3^2 ]
[ x3^3, x2, x1*x3*x1*x3, x1*x2*x1*x2, x3^2 ]
[ x3^3, x1*x2, x1*x3*x1*x3, x1*x2*x1*x2, x3^2 ]
[ x1, x2, x1*x3*x1*x3, x1*x2*x1*x2, x3^2 ]
[ x2*x3^3, x1, x1*x3*x1*x3, x1*x2*x1*x2, x3^2 ]
[ x3^3*x1, x2, x1*x3*x1*x3, x1*x2*x1*x2, x3^2 ]
[ x2*x3^3, x1*x2, x1*x3*x1*x3, x1*x2*x1*x2, x3^2 ]
[ x3^3, x1, x2, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x1*x3*x1*x3*x1*x3*x1, x1, x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3, x1*x2*x1*x2,
x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x1*x3*x1*x3*x1*x3*x1, x1*x2*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3,
x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3, x1*x2*x1*x2, x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x1*x3*x1*x3*x1*x3*x1, x2*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3,
x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3, x1*x2*x1*x2, x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x1, x1*x2*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3,
x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3, x1*x2*x1*x2, x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x1*x2*x1*x3*x1*x3*x1*x3, x1, x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3,
x1*x2*x1*x2, x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x1*x3*x1*x3*x1*x3, x1*x2*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3,
x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3, x1*x2*x1*x2, x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x1*x2*x1*x3*x1*x3*x1*x3, x2*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3,
x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3, x1*x2*x1*x2, x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x1*x3*x1*x3*x1*x3*x1, x1, x1*x2*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3,
x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x3, x3*x1*x3*x1*x3*x1*x3, x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3, x1*x2*x1*x2,
x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x3, x1*x2*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3,
x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3, x1*x2*x1*x2, x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x3, x2*x1*x3*x1*x3*x1, x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3, x1*x2*x1*x2,
x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x3*x1*x3*x1*x3*x1*x3, x1*x2*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3,
x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3, x1*x2*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*x3*x1*x3,
x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3, x1*x2*x1*x2, x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x1*x3*x1*x3*x1*x3, x1*x2*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3,
x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3, x1*x2*x1*x2, x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x1*x2*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1, x2*x1*x3*x1*x3*x1,
x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3, x1*x2*x1*x2, x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x3, x3*x1*x3*x1*x3*x1*x3, x1*x2*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3,
x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x3^3, x1*x3^2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2, x3^2 ]
[ x3^3, x2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2, x3^2 ]
[ x3^3, x1*x2*x3^2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2, x3^2 ]
[ x1*x3^2, x2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2, x3^2 ]
[ x2*x3^3, x1*x3^2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2, x3^2 ]
[ x3*x1, x2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2, x3^2 ]
[ x2*x3^3, x1*x2*x3^2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2, x3^2 ]
[ x3^3, x1*x3^2, x2, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2 ]
[ x1*x2*x1*x2*x3*x1*x2, x1*x2*x3*x2*x3, x1*x2*x3*x1*x2*x3, x1*x2*x1*x2,
x2*x3*x2*x3 ]
[ x1*x2*x1*x2*x3*x1*x2, x2*x1*x2*x3*x2*x3, x1*x2*x3*x1*x2*x3, x1*x2*x1*x2,
x2*x3*x2*x3 ]
[ x1*x2*x1*x2*x3*x1*x2, x1*x2*x1, x1*x2*x3*x1*x2*x3, x1*x2*x1*x2, x2*x3*x2*x3
]
[ x1*x2*x3*x2*x3, x2*x1*x2*x3*x2*x3, x1*x2*x3*x1*x2*x3, x1*x2*x1*x2,
x2*x3*x2*x3 ]
[ x1*x2*x1*x3*x2*x3^2, x1*x2*x3*x2*x3, x1*x2*x3*x1*x2*x3, x1*x2*x1*x2,
x2*x3*x2*x3 ]
[ x2*x3^3, x2*x1*x2*x3*x2*x3, x1*x2*x3*x1*x2*x3, x1*x2*x1*x2, x2*x3*x2*x3 ]
[ x1*x2*x1*x3*x2*x3^2, x1*x2*x1, x1*x2*x3*x1*x2*x3, x1*x2*x1*x2, x2*x3*x2*x3 ]
[ x1*x2*x1*x2*x3*x1*x2, x1*x2*x3*x2*x3, x2*x1*x2*x3*x2*x3, x1*x2*x3*x1*x2*x3,
x1*x2*x1*x2 ]
[ x1*x3^3, x1, x1*x2*x3*x1*x2*x3, x1^2, x3^2 ]
[ x1*x3^3, x1^2*x2, x1*x2*x3*x1*x2*x3, x1^2, x3^2 ]
[ x1*x3^3, x1^3*x2, x1*x2*x3*x1*x2*x3, x1^2, x3^2 ]
[ x1, x1^2*x2, x1*x2*x3*x1*x2*x3, x1^2, x3^2 ]
[ x1^3*x3*x2*x3^2, x1, x1*x2*x3*x1*x2*x3, x1^2, x3^2 ]
[ x3^3, x1^2*x2, x1*x2*x3*x1*x2*x3, x1^2, x3^2 ]
[ x1^3*x3*x2*x3^2, x1^3*x2, x1*x2*x3*x1*x2*x3, x1^2, x3^2 ]
[ x1*x3^3, x1, x1^2*x2, x1*x2*x3*x1*x2*x3, x1^2 ]
[ x1*x3^3*x1, x1, x3^6, x2^2, x1*x3^4*x1 ]
[ x1*x3^3*x1, x2, x3^6, x2^2, x1*x3^4*x1 ]
[ x1*x3^3*x1, x1*x2, x3^6, x2^2, x1*x3^4*x1 ]
[ x1, x2, x3^6, x2^2, x1*x3^4*x1 ]
[ x2*x1*x3^3*x1, x1, x3^6, x2^2, x1*x3^4*x1 ]
[ x1*x3^3, x2, x3^6, x2^2, x1*x3^4*x1 ]
[ x2*x1*x3^3*x1, x1*x2, x3^6, x2^2, x1*x3^4*x1 ]
[ x1*x3^3*x1, x1, x2, x3^6, x2^2 ]
[ x1*x3^3, x1, x3^6, x2^2, x1*x3^4*x1 ]
[ x1*x3^3, x2, x3^6, x2^2, x1*x3^4*x1 ]
[ x1*x3^3, x1*x2, x3^6, x2^2, x1*x3^4*x1 ]
[ x1, x2, x3^6, x2^2, x1*x3^4*x1 ]
[ x1*x2*x3^3, x1, x3^6, x2^2, x1*x3^4*x1 ]
[ x1*x3^3*x1, x2, x3^6, x2^2, x1*x3^4*x1 ]
[ x1*x2*x3^3, x1*x2, x3^6, x2^2, x1*x3^4*x1 ]
[ x1*x3^3, x1, x2, x3^6, x2^2 ]
[ x1^2*x2*x3^3, x1*x2*x3*x2*x3, x1*x2*x3*x1*x2*x3, x1^2, x2*x3*x2*x3 ]
[ x1^2*x2*x3^3, x1*x3*x2*x3, x1*x2*x3*x1*x2*x3, x1^2, x2*x3*x2*x3 ]
[ x1^2*x2*x3^3, x1^2*x2, x1*x2*x3*x1*x2*x3, x1^2, x2*x3*x2*x3 ]
[ x1*x2*x3*x2*x3, x1*x3*x2*x3, x1*x2*x3*x1*x2*x3, x1^2, x2*x3*x2*x3 ]
[ x1^2*x3*x1, x1*x2*x3*x2*x3, x1*x2*x3*x1*x2*x3, x1^2, x2*x3*x2*x3 ]
[ x1^2*x3*x1*x2, x1*x3*x2*x3, x1*x2*x3*x1*x2*x3, x1^2, x2*x3*x2*x3 ]
[ x1^2*x3*x1, x1^2*x2, x1*x2*x3*x1*x2*x3, x1^2, x2*x3*x2*x3 ]
[ x1^2*x2*x3^3, x1*x2*x3*x2*x3, x1*x3*x2*x3, x1*x2*x3*x1*x2*x3, x1^2 ]
[ x1^2*x2*x3*x2*x3^2, x1^2*x2*x3*x2*x3*x1, x1*x2*x3*x1*x2*x3, x1^2,
x1^2*x2*x3*x2*x3 ]
[ x1^2*x2*x3*x2*x3^2, x1^2*x3*x2*x3*x1, x1*x2*x3*x1*x2*x3, x1^2,
x1^2*x2*x3*x2*x3 ]
[ x1^2*x2*x3*x2*x3^2, x2, x1*x2*x3*x1*x2*x3, x1^2, x1^2*x2*x3*x2*x3 ]
[ x1^2*x2*x3*x2*x3*x1, x1^2*x3*x2*x3*x1, x1*x2*x3*x1*x2*x3, x1^2,
x1^2*x2*x3*x2*x3 ]
[ x1^3*x2*x3, x1^2*x2*x3*x2*x3*x1, x1*x2*x3*x1*x2*x3, x1^2, x1^2*x2*x3*x2*x3 ]
[ x1*x2*x3*x2, x1^2*x3*x2*x3*x1, x1*x2*x3*x1*x2*x3, x1^2, x1^2*x2*x3*x2*x3 ]
[ x1^3*x2*x3, x2, x1*x2*x3*x1*x2*x3, x1^2, x1^2*x2*x3*x2*x3 ]
[ x1^2*x2*x3*x2*x3^2, x1^2*x2*x3*x2*x3*x1, x1^2*x3*x2*x3*x1,
x1*x2*x3*x1*x2*x3, x1^2 ]
[ x1*x2*x3, x2*x3*x2*x3*x1, x1*x2*x3*x1*x2*x3, x1*x2*x1*x2, x2*x3*x2*x3 ]
[ x1*x2*x3, x3*x2*x3*x1, x1*x2*x3*x1*x2*x3, x1*x2*x1*x2, x2*x3*x2*x3 ]
[ x1*x2*x3, x1*x2*x1, x1*x2*x3*x1*x2*x3, x1*x2*x1*x2, x2*x3*x2*x3 ]
[ x2*x3*x2*x3*x1, x3*x2*x3*x1, x1*x2*x3*x1*x2*x3, x1*x2*x1*x2, x2*x3*x2*x3 ]
[ x1*x2*x1*x3*x2*x3^2, x2*x3*x2*x3*x1, x1*x2*x3*x1*x2*x3, x1*x2*x1*x2,
x2*x3*x2*x3 ]
[ x2*x3^3, x3*x2*x3*x1, x1*x2*x3*x1*x2*x3, x1*x2*x1*x2, x2*x3*x2*x3 ]
[ x1*x2*x1*x3*x2*x3^2, x1*x2*x1, x1*x2*x3*x1*x2*x3, x1*x2*x1*x2, x2*x3*x2*x3 ]
[ x1*x2*x3, x2*x3*x2*x3*x1, x3*x2*x3*x1, x1*x2*x3*x1*x2*x3, x1*x2*x1*x2 ]
[ x1^3*x3^3, x1, x1^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1^3*x3^3, x2, x1^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1^3*x3^3, x1*x2, x1^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1, x2, x1^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1^3*x3*x2*x3^2, x1, x1^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1^2*x3^3, x2, x1^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1^3*x3*x2*x3^2, x1*x2, x1^2, x1*x2*x3*x1*x2*x3, x3^2 ]
[ x1^3*x3^3, x1, x2, x1^2, x1*x2*x3*x1*x2*x3 ]
[ x1*x2*x3*x1*x3^2*x2, x1, x1*x3*x1*x3^5, x2*x3*x2*x3, x2*x3^4*x2 ]
[ x1*x2*x3*x1*x3^2*x2, x2, x1*x3*x1*x3^5, x2*x3*x2*x3, x2*x3^4*x2 ]
[ x1*x2*x3*x1*x3^2*x2, x1*x2, x1*x3*x1*x3^5, x2*x3*x2*x3, x2*x3^4*x2 ]
[ x1, x2, x1*x3*x1*x3^5, x2*x3*x2*x3, x2*x3^4*x2 ]
[ x1*x2*x3*x1*x3^2, x1, x1*x3*x1*x3^5, x2*x3*x2*x3, x2*x3^4*x2 ]
[ x1*x2*x3^3*x2, x2, x1*x3*x1*x3^5, x2*x3*x2*x3, x2*x3^4*x2 ]
[ x1*x2*x3*x1*x3^2, x1*x2, x1*x3*x1*x3^5, x2*x3*x2*x3, x2*x3^4*x2 ]
[ x1*x2*x3*x1*x3^2*x2, x1, x2, x1*x3*x1*x3^5, x2*x3*x2*x3 ]
[ x1^3*x3^3, x1, x1^2, x1^2*x2^2, x3^2 ]
[ x1^3*x3^3, x2, x1^2, x1^2*x2^2, x3^2 ]
[ x1^3*x3^3, x1*x2, x1^2, x1^2*x2^2, x3^2 ]
[ x1, x2, x1^2, x1^2*x2^2, x3^2 ]
[ x1*x2*x3^3, x1, x1^2, x1^2*x2^2, x3^2 ]
[ x1^2*x3^3, x2, x1^2, x1^2*x2^2, x3^2 ]
[ x1*x2*x3^3, x1*x2, x1^2, x1^2*x2^2, x3^2 ]
[ x1^3*x3^3, x1, x2, x1^2, x1^2*x2^2 ]
[ x3^3, x3^2*x1, x1*x2*x1*x2, x1*x2*x1*x2^3, x3^2 ]
[ x3^3, x2, x1*x2*x1*x2, x1*x2*x1*x2^3, x3^2 ]
[ x3^3, x1*x2*x1*x3^2*x1, x1*x2*x1*x2, x1*x2*x1*x2^3, x3^2 ]
[ x3^2*x1, x2, x1*x2*x1*x2, x1*x2*x1*x2^3, x3^2 ]
[ x1*x2*x1*x2^2*x3^3, x3^2*x1, x1*x2*x1*x2, x1*x2*x1*x2^3, x3^2 ]
[ x1*x3, x2, x1*x2*x1*x2, x1*x2*x1*x2^3, x3^2 ]
[ x1*x2*x1*x2^2*x3^3, x1*x2*x1*x3^2*x1, x1*x2*x1*x2, x1*x2*x1*x2^3, x3^2 ]
[ x3^3, x3^2*x1, x2, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1^2*x2*x3^3, x3^2*x1, x1^2, x1^2*x2^2, x3^2 ]
[ x1^2*x2*x3^3, x2, x1^2, x1^2*x2^2, x3^2 ]
[ x1^2*x2*x3^3, x1^3*x2*x1*x3^2*x1, x1^2, x1^2*x2^2, x3^2 ]
[ x3^2*x1, x2, x1^2, x1^2*x2^2, x3^2 ]
[ x2^2*x3^3, x3^2*x1, x1^2, x1^2*x2^2, x3^2 ]
[ x2*x1*x3, x2, x1^2, x1^2*x2^2, x3^2 ]
[ x2^2*x3^3, x1^3*x2*x1*x3^2*x1, x1^2, x1^2*x2^2, x3^2 ]
[ x1^2*x2*x3^3, x3^2*x1, x2, x1^2, x1^2*x2^2 ]
[ x3^3, x1, x1*x2*x1*x2, x1*x2*x1*x2^3, x3^2 ]
[ x3^3, x1*x3^2*x2, x1*x2*x1*x2, x1*x2*x1*x2^3, x3^2 ]
[ x3^3, x3^2*x2, x1*x2*x1*x2, x1*x2*x1*x2^3, x3^2 ]
[ x1, x1*x3^2*x2, x1*x2*x1*x2, x1*x2*x1*x2^3, x3^2 ]
[ x2*x1*x2^2*x3, x1, x1*x2*x1*x2, x1*x2*x1*x2^3, x3^2 ]
[ x1*x3^3, x1*x3^2*x2, x1*x2*x1*x2, x1*x2*x1*x2^3, x3^2 ]
[ x2*x1*x2^2*x3, x3^2*x2, x1*x2*x1*x2, x1*x2*x1*x2^3, x3^2 ]
[ x3^3, x1, x1*x3^2*x2, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x3*x1*x2*x3*x2*x3, x1*x3^2, x3^2, x1*x2*x1*x2, x2*x1*x3*x1*x2*x3 ]
[ x1*x3*x1*x2*x3*x2*x3, x2, x3^2, x1*x2*x1*x2, x2*x1*x3*x1*x2*x3 ]
[ x1*x3*x1*x2*x3*x2*x3, x1*x2*x3^2, x3^2, x1*x2*x1*x2, x2*x1*x3*x1*x2*x3 ]
[ x1*x3^2, x2, x3^2, x1*x2*x1*x2, x2*x1*x3*x1*x2*x3 ]
[ x2*x1*x3*x1*x2*x3*x2*x3, x1*x3^2, x3^2, x1*x2*x1*x2, x2*x1*x3*x1*x2*x3 ]
[ x3*x1*x2*x3*x2*x3, x2, x3^2, x1*x2*x1*x2, x2*x1*x3*x1*x2*x3 ]
[ x2*x1*x3*x1*x2*x3*x2*x3, x1*x2*x3^2, x3^2, x1*x2*x1*x2, x2*x1*x3*x1*x2*x3 ]
[ x1*x3*x1*x2*x3*x2*x3, x1*x3^2, x2, x3^2, x1*x2*x1*x2 ]
[ x2*x1*x3*x2*x3^2, x1, x1*x3*x1*x3, x1*x2*x1*x2, x1*x2*x1*x3*x2*x3 ]
[ x2*x1*x3*x2*x3^2, x2*x1*x3*x1*x3, x1*x3*x1*x3, x1*x2*x1*x2,
x1*x2*x1*x3*x2*x3 ]
[ x2*x1*x3*x2*x3^2, x1*x2*x1*x3*x1*x3, x1*x3*x1*x3, x1*x2*x1*x2,
x1*x2*x1*x3*x2*x3 ]
[ x1, x2*x1*x3*x1*x3, x1*x3*x1*x3, x1*x2*x1*x2, x1*x2*x1*x3*x2*x3 ]
[ x1*x3*x2*x3^2, x1, x1*x3*x1*x3, x1*x2*x1*x2, x1*x2*x1*x3*x2*x3 ]
[ x1*x2*x1*x3*x2*x3^2, x2*x1*x3*x1*x3, x1*x3*x1*x3, x1*x2*x1*x2,
x1*x2*x1*x3*x2*x3 ]
[ x1*x3*x2*x3^2, x1*x2*x1*x3*x1*x3, x1*x3*x1*x3, x1*x2*x1*x2,
x1*x2*x1*x3*x2*x3 ]
[ x2*x1*x3*x2*x3^2, x1, x2*x1*x3*x1*x3, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x3^3, x1, x1*x3*x1*x3, x1*x2*x3*x1*x3^2*x2*x3, x3^2 ]
[ x3^3, x3*x1*x3^2*x2*x3, x1*x3*x1*x3, x1*x2*x3*x1*x3^2*x2*x3, x3^2 ]
[ x3^3, x1*x3*x1*x3^2*x2*x3, x1*x3*x1*x3, x1*x2*x3*x1*x3^2*x2*x3, x3^2 ]
[ x1, x3*x1*x3^2*x2*x3, x1*x3*x1*x3, x1*x2*x3*x1*x3^2*x2*x3, x3^2 ]
[ x1*x2*x3^3, x1, x1*x3*x1*x3, x1*x2*x3*x1*x3^2*x2*x3, x3^2 ]
[ x3^3*x1, x3*x1*x3^2*x2*x3, x1*x3*x1*x3, x1*x2*x3*x1*x3^2*x2*x3, x3^2 ]
[ x1*x2*x3^3, x1*x3*x1*x3^2*x2*x3, x1*x3*x1*x3, x1*x2*x3*x1*x3^2*x2*x3, x3^2 ]
[ x3^3, x1, x3*x1*x3^2*x2*x3, x1*x3*x1*x3, x1*x2*x3*x1*x3^2*x2*x3 ]
[ x1*x3*x2, x1*x2*x1*x2*x3^2*x1, x1*x2*x3*x1*x2*x3, x1*x2*x1*x2,
x1*x2*x1*x2*x3^2 ]
[ x1*x3*x2, x1*x2*x1*x3^2*x1, x1*x2*x3*x1*x2*x3, x1*x2*x1*x2,
x1*x2*x1*x2*x3^2 ]
[ x1*x3*x2, x1*x2*x1, x1*x2*x3*x1*x2*x3, x1*x2*x1*x2, x1*x2*x1*x2*x3^2 ]
[ x1*x2*x1*x2*x3^2*x1, x1*x2*x1*x3^2*x1, x1*x2*x3*x1*x2*x3, x1*x2*x1*x2,
x1*x2*x1*x2*x3^2 ]
[ x3^3, x1*x2*x1*x2*x3^2*x1, x1*x2*x3*x1*x2*x3, x1*x2*x1*x2, x1*x2*x1*x2*x3^2
]
[ x1*x2*x1*x2*x3*x2*x3^2, x1*x2*x1*x3^2*x1, x1*x2*x3*x1*x2*x3, x1*x2*x1*x2,
x1*x2*x1*x2*x3^2 ]
[ x3^3, x1*x2*x1, x1*x2*x3*x1*x2*x3, x1*x2*x1*x2, x1*x2*x1*x2*x3^2 ]
[ x1*x3*x2, x1*x2*x1*x2*x3^2*x1, x1*x2*x1*x3^2*x1, x1*x2*x3*x1*x2*x3,
x1*x2*x1*x2 ]
[ x1*x3*x1*x3*x1*x3, x1*x3*x1*x3*x1, x2*x3*x2*x3, x1*x2*x1*x2, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x1*x3, x2*x1*x3*x1*x3*x1, x2*x3*x2*x3, x1*x2*x1*x2, x1*x3*x1*x3
]
[ x1*x3*x1*x3*x1*x3, x1*x2*x1, x2*x3*x2*x3, x1*x2*x1*x2, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x1, x2*x1*x3*x1*x3*x1, x2*x3*x2*x3, x1*x2*x1*x2, x1*x3*x1*x3 ]
[ x3*x2, x1*x3*x1*x3*x1, x2*x3*x2*x3, x1*x2*x1*x2, x1*x3*x1*x3 ]
[ x1*x2*x1*x2*x3, x2*x1*x3*x1*x3*x1, x2*x3*x2*x3, x1*x2*x1*x2, x1*x3*x1*x3 ]
[ x3*x2, x1*x2*x1, x2*x3*x2*x3, x1*x2*x1*x2, x1*x3*x1*x3 ]
[ x1*x3*x1*x3*x1*x3, x1*x3*x1*x3*x1, x2*x1*x3*x1*x3*x1, x2*x3*x2*x3,
x1*x2*x1*x2 ]
[ x1*x3*x1*x3*x1*x3, x1*x2*x3*x1*x2*x3*x1, x2*x3*x2*x3, x1^2,
x1*x2*x3*x1*x2*x3 ]
[ x1*x3*x1*x3*x1*x3, x1^3*x3*x1*x2*x3*x1, x2*x3*x2*x3, x1^2,
x1*x2*x3*x1*x2*x3 ]
[ x1*x3*x1*x3*x1*x3, x2, x2*x3*x2*x3, x1^2, x1*x2*x3*x1*x2*x3 ]
[ x1*x2*x3*x1*x2*x3*x1, x1^3*x3*x1*x2*x3*x1, x2*x3*x2*x3, x1^2,
x1*x2*x3*x1*x2*x3 ]
[ x3*x2, x1*x2*x3*x1*x2*x3*x1, x2*x3*x2*x3, x1^2, x1*x2*x3*x1*x2*x3 ]
[ x1^2*x3, x1^3*x3*x1*x2*x3*x1, x2*x3*x2*x3, x1^2, x1*x2*x3*x1*x2*x3 ]
[ x3*x2, x2, x2*x3*x2*x3, x1^2, x1*x2*x3*x1*x2*x3 ]
[ x1*x3*x1*x3*x1*x3, x1*x2*x3*x1*x2*x3*x1, x1^3*x3*x1*x2*x3*x1, x2*x3*x2*x3,
x1^2 ]
[ x1*x3^3*x1, x1*x3^4, x3^6, x1*x2*x1*x2, x1*x3^4*x1 ]
[ x1*x3^3*x1, x2*x1*x3^4, x3^6, x1*x2*x1*x2, x1*x3^4*x1 ]
[ x1*x3^3*x1, x1*x2*x1, x3^6, x1*x2*x1*x2, x1*x3^4*x1 ]
[ x1*x3^4, x2*x1*x3^4, x3^6, x1*x2*x1*x2, x1*x3^4*x1 ]
[ x1*x2*x1*x3^5*x1, x1*x3^4, x3^6, x1*x2*x1*x2, x1*x3^4*x1 ]
[ x3^5*x1, x2*x1*x3^4, x3^6, x1*x2*x1*x2, x1*x3^4*x1 ]
[ x1*x2*x1*x3^5*x1, x1*x2*x1, x3^6, x1*x2*x1*x2, x1*x3^4*x1 ]
[ x1*x3^3*x1, x1*x3^4, x2*x1*x3^4, x3^6, x1*x2*x1*x2 ]
[ x3^3, x3^2*x1, x1*x3*x1*x3, x2*x3*x2*x3, x3^2 ]
[ x3^3, x1*x2*x3^2*x1, x1*x3*x1*x3, x2*x3*x2*x3, x3^2 ]
[ x3^3, x1*x2, x1*x3*x1*x3, x2*x3*x2*x3, x3^2 ]
[ x3^2*x1, x1*x2*x3^2*x1, x1*x3*x1*x3, x2*x3*x2*x3, x3^2 ]
[ x3*x2*x3^2, x3^2*x1, x1*x3*x1*x3, x2*x3*x2*x3, x3^2 ]
[ x3*x1*x3^2, x1*x2*x3^2*x1, x1*x3*x1*x3, x2*x3*x2*x3, x3^2 ]
[ x3*x2*x3^2, x1*x2, x1*x3*x1*x3, x2*x3*x2*x3, x3^2 ]
[ x3^3, x3^2*x1, x1*x2*x3^2*x1, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x3^3, x1, x1*x2*x1*x2, x1^3*x2*x1*x2, x3^2 ]
[ x3^3, x1^2*x2, x1*x2*x1*x2, x1^3*x2*x1*x2, x3^2 ]
[ x3^3, x1^3*x2, x1*x2*x1*x2, x1^3*x2*x1*x2, x3^2 ]
[ x1, x1^2*x2, x1*x2*x1*x2, x1^3*x2*x1*x2, x3^2 ]
[ x1^3*x2*x1*x3^3, x1, x1*x2*x1*x2, x1^3*x2*x1*x2, x3^2 ]
[ x1*x3^3, x1^2*x2, x1*x2*x1*x2, x1^3*x2*x1*x2, x3^2 ]
[ x1^3*x2*x1*x3^3, x1^3*x2, x1*x2*x1*x2, x1^3*x2*x1*x2, x3^2 ]
[ x3^3, x1, x1^2*x2, x1*x2*x1*x2, x1^3*x2*x1*x2 ]
[ x2*x1*x3, x2*x3*x2*x3*x1, x1*x2*x3*x1*x2*x3, x1*x2*x1*x2, x2*x3*x2*x3 ]
[ x2*x1*x3, x3*x2*x3*x1, x1*x2*x3*x1*x2*x3, x1*x2*x1*x2, x2*x3*x2*x3 ]
[ x2*x1*x3, x1*x2*x1, x1*x2*x3*x1*x2*x3, x1*x2*x1*x2, x2*x3*x2*x3 ]
[ x2*x3*x2*x3*x1, x3*x2*x3*x1, x1*x2*x3*x1*x2*x3, x1*x2*x1*x2, x2*x3*x2*x3 ]
[ x1*x2*x1*x3*x2*x3^2, x2*x3*x2*x3*x1, x1*x2*x3*x1*x2*x3, x1*x2*x1*x2,
x2*x3*x2*x3 ]
[ x2*x3^3, x3*x2*x3*x1, x1*x2*x3*x1*x2*x3, x1*x2*x1*x2, x2*x3*x2*x3 ]
[ x1*x2*x1*x3*x2*x3^2, x1*x2*x1, x1*x2*x3*x1*x2*x3, x1*x2*x1*x2, x2*x3*x2*x3 ]
[ x2*x1*x3, x2*x3*x2*x3*x1, x3*x2*x3*x1, x1*x2*x3*x1*x2*x3, x1*x2*x1*x2 ]
[ x1*x2*x3, x3^2*x1, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2, x3^2 ]
[ x1*x2*x3, x2*x3^2*x1, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2, x3^2 ]
[ x1*x2*x3, x1*x2*x1, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2, x3^2 ]
[ x3^2*x1, x2*x3^2*x1, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2, x3^2 ]
[ x1*x2*x1*x2*x3^3, x3^2*x1, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2, x3^2 ]
[ x3*x2*x3^2, x2*x3^2*x1, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2, x3^2 ]
[ x1*x2*x1*x2*x3^3, x1*x2*x1, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2, x3^2 ]
[ x1*x2*x3, x3^2*x1, x2*x3^2*x1, x2*x1*x2*x3*x1*x3, x1*x2*x1*x2 ]
[ x3^3, x1, x1*x3*x1*x3, x2^2, x3^2 ]
[ x3^3, x2, x1*x3*x1*x3, x2^2, x3^2 ]
[ x3^3, x1*x2, x1*x3*x1*x3, x2^2, x3^2 ]
[ x1, x2, x1*x3*x1*x3, x2^2, x3^2 ]
[ x1*x2*x1*x3^3, x1, x1*x3*x1*x3, x2^2, x3^2 ]
[ x3^3*x1, x2, x1*x3*x1*x3, x2^2, x3^2 ]
[ x1*x2*x1*x3^3, x1*x2, x1*x3*x1*x3, x2^2, x3^2 ]
[ x3^3, x1, x2, x1*x3*x1*x3, x2^2 ]
[ x3^3, x1*x3^2, x2*x1*x3*x1*x2*x3, x1*x2*x1*x2, x3^2 ]
[ x3^3, x2*x1*x3^2, x2*x1*x3*x1*x2*x3, x1*x2*x1*x2, x3^2 ]
[ x3^3, x1*x2*x1, x2*x1*x3*x1*x2*x3, x1*x2*x1*x2, x3^2 ]
[ x1*x3^2, x2*x1*x3^2, x2*x1*x3*x1*x2*x3, x1*x2*x1*x2, x3^2 ]
[ x1*x2*x1*x2*x3*x1*x2, x1*x3^2, x2*x1*x3*x1*x2*x3, x1*x2*x1*x2, x3^2 ]
[ x3*x1, x2*x1*x3^2, x2*x1*x3*x1*x2*x3, x1*x2*x1*x2, x3^2 ]
[ x1*x2*x1*x2*x3*x1*x2, x1*x2*x1, x2*x1*x3*x1*x2*x3, x1*x2*x1*x2, x3^2 ]
[ x3^3, x1*x3^2, x2*x1*x3^2, x2*x1*x3*x1*x2*x3, x1*x2*x1*x2 ]
[ x2*x3*x1, x1*x2*x3*x2*x3, x1*x3*x1*x3, x1*x2*x1*x2, x2*x3*x2*x3 ]
[ x2*x3*x1, x2*x1*x2*x3*x2*x3, x1*x3*x1*x3, x1*x2*x1*x2, x2*x3*x2*x3 ]
[ x2*x3*x1, x1*x2*x1, x1*x3*x1*x3, x1*x2*x1*x2, x2*x3*x2*x3 ]
[ x1*x2*x3*x2*x3, x2*x1*x2*x3*x2*x3, x1*x3*x1*x3, x1*x2*x1*x2, x2*x3*x2*x3 ]
[ x1*x2*x1*x2*x3^3, x1*x2*x3*x2*x3, x1*x3*x1*x3, x1*x2*x1*x2, x2*x3*x2*x3 ]
[ x3*x2*x3^2, x2*x1*x2*x3*x2*x3, x1*x3*x1*x3, x1*x2*x1*x2, x2*x3*x2*x3 ]
[ x1*x2*x1*x2*x3^3, x1*x2*x1, x1*x3*x1*x3, x1*x2*x1*x2, x2*x3*x2*x3 ]
[ x2*x3*x1, x1*x2*x3*x2*x3, x2*x1*x2*x3*x2*x3, x1*x3*x1*x3, x1*x2*x1*x2 ]
[ x1^2*x3*x1*x2, x1*x3^2, x1*x2*x3*x1*x2*x3, x1^2, x3^2 ]
[ x1^2*x3*x1*x2, x1^3*x2*x3^2, x1*x2*x3*x1*x2*x3, x1^2, x3^2 ]
[ x1^2*x3*x1*x2, x2, x1*x2*x3*x1*x2*x3, x1^2, x3^2 ]
[ x1*x3^2, x1^3*x2*x3^2, x1*x2*x3*x1*x2*x3, x1^2, x3^2 ]
[ x3^3, x1*x3^2, x1*x2*x3*x1*x2*x3, x1^2, x3^2 ]
[ x1^2*x3*x2*x3^2, x1^3*x2*x3^2, x1*x2*x3*x1*x2*x3, x1^2, x3^2 ]
[ x3^3, x2, x1*x2*x3*x1*x2*x3, x1^2, x3^2 ]
[ x1^2*x3*x1*x2, x1*x3^2, x1^3*x2*x3^2, x1*x2*x3*x1*x2*x3, x1^2 ]
[ x1*x2*x1*x2^2*x3^3, x1*x2^2*x3^2, x1*x2*x1*x2, x1*x2*x1*x2^3, x2^2*x3^2 ]
[ x1*x2*x1*x2^2*x3^3, x2*x1*x2^2*x3^2, x1*x2*x1*x2, x1*x2*x1*x2^3, x2^2*x3^2 ]
[ x1*x2*x1*x2^2*x3^3, x1*x2*x1, x1*x2*x1*x2, x1*x2*x1*x2^3, x2^2*x3^2 ]
[ x1*x2^2*x3^2, x2*x1*x2^2*x3^2, x1*x2*x1*x2, x1*x2*x1*x2^3, x2^2*x3^2 ]
[ x1*x2*x1*x2*x3*x1, x1*x2^2*x3^2, x1*x2*x1*x2, x1*x2*x1*x2^3, x2^2*x3^2 ]
[ x1*x2*x1*x3*x1, x2*x1*x2^2*x3^2, x1*x2*x1*x2, x1*x2*x1*x2^3, x2^2*x3^2 ]
[ x1*x2*x1*x2*x3*x1, x1*x2*x1, x1*x2*x1*x2, x1*x2*x1*x2^3, x2^2*x3^2 ]
[ x1*x2*x1*x2^2*x3^3, x1*x2^2*x3^2, x2*x1*x2^2*x3^2, x1*x2*x1*x2,
x1*x2*x1*x2^3 ]
[ x1*x2*x1*x3*x1, x1*x2^2*x3^2, x1*x2*x1*x2, x1*x2*x1*x2^3, x2^2*x3^2 ]
[ x1*x2*x1*x3*x1, x2*x1*x2^2*x3^2, x1*x2*x1*x2, x1*x2*x1*x2^3, x2^2*x3^2 ]
[ x1*x2*x1*x3*x1, x1*x2*x1, x1*x2*x1*x2, x1*x2*x1*x2^3, x2^2*x3^2 ]
[ x1*x2^2*x3^2, x2*x1*x2^2*x3^2, x1*x2*x1*x2, x1*x2*x1*x2^3, x2^2*x3^2 ]
[ x3^3, x1*x2^2*x3^2, x1*x2*x1*x2, x1*x2*x1*x2^3, x2^2*x3^2 ]
[ x1*x2*x1*x2^2*x3^3, x2*x1*x2^2*x3^2, x1*x2*x1*x2, x1*x2*x1*x2^3, x2^2*x3^2 ]
[ x3^3, x1*x2*x1, x1*x2*x1*x2, x1*x2*x1*x2^3, x2^2*x3^2 ]
[ x1*x2*x1*x3*x1, x1*x2^2*x3^2, x2*x1*x2^2*x3^2, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x2*x3^3, x1, x1*x2*x1*x2, x1*x2*x1*x2^3, x2^2*x3^2 ]
[ x1*x2*x3^3, x2, x1*x2*x1*x2, x1*x2*x1*x2^3, x2^2*x3^2 ]
[ x1*x2*x3^3, x1*x2, x1*x2*x1*x2, x1*x2*x1*x2^3, x2^2*x3^2 ]
[ x1, x2, x1*x2*x1*x2, x1*x2*x1*x2^3, x2^2*x3^2 ]
[ x1*x2^2*x3^3, x1, x1*x2*x1*x2, x1*x2*x1*x2^3, x2^2*x3^2 ]
[ x1*x2*x1*x2^2*x3^3, x2, x1*x2*x1*x2, x1*x2*x1*x2^3, x2^2*x3^2 ]
[ x1*x2^2*x3^3, x1*x2, x1*x2*x1*x2, x1*x2*x1*x2^3, x2^2*x3^2 ]
[ x1*x2*x3^3, x1, x2, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x2^2*x3^3, x1, x1*x2*x1*x2, x1*x2*x1*x2^3, x2^2*x3^2 ]
[ x1*x2*x1*x2^2*x3^3, x2, x1*x2*x1*x2, x1*x2*x1*x2^3, x2^2*x3^2 ]
[ x1*x2*x1*x2^2*x3^3, x1*x2, x1*x2*x1*x2, x1*x2*x1*x2^3, x2^2*x3^2 ]
[ x1, x2, x1*x2*x1*x2, x1*x2*x1*x2^3, x2^2*x3^2 ]
[ x1*x2*x1*x2^3*x3^3, x1, x1*x2*x1*x2, x1*x2*x1*x2^3, x2^2*x3^2 ]
[ x1*x2*x3^3, x2, x1*x2*x1*x2, x1*x2*x1*x2^3, x2^2*x3^2 ]
[ x1*x2*x1*x2^3*x3^3, x1*x2, x1*x2*x1*x2, x1*x2*x1*x2^3, x2^2*x3^2 ]
[ x1*x2*x1*x2^2*x3^3, x1, x2, x1*x2*x1*x2, x1*x2*x1*x2^3 ]
[ x1*x2*x3*x1*x2*x3*x1*x3, x1, x3^2, x1*x2*x1*x2, x1*x2*x3*x1*x2*x3 ]
[ x1*x2*x3*x1*x2*x3*x1*x3, x2*x3^2, x3^2, x1*x2*x1*x2, x1*x2*x3*x1*x2*x3 ]
[ x1*x2*x3*x1*x2*x3*x1*x3, x1*x2*x3^2, x3^2, x1*x2*x1*x2, x1*x2*x3*x1*x2*x3 ]
[ x1, x2*x3^2, x3^2, x1*x2*x1*x2, x1*x2*x3*x1*x2*x3 ]
[ x2*x1*x2*x3*x1*x2*x3*x1*x3, x1, x3^2, x1*x2*x1*x2, x1*x2*x3*x1*x2*x3 ]
[ x2*x3*x1*x2*x3*x1*x3, x2*x3^2, x3^2, x1*x2*x1*x2, x1*x2*x3*x1*x2*x3 ]
[ x2*x1*x2*x3*x1*x2*x3*x1*x3, x1*x2*x3^2, x3^2, x1*x2*x1*x2,
x1*x2*x3*x1*x2*x3 ]
[ x1*x2*x3*x1*x2*x3*x1*x3, x1, x2*x3^2, x3^2, x1*x2*x1*x2 ]
[ x2*x1*x2^2*x3^3, x1, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2*x3^2 ]
[ x2*x1*x2^2*x3^3, x2, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2*x3^2 ]
[ x2*x1*x2^2*x3^3, x1*x2, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2*x3^2 ]
[ x1, x2, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2*x3^2 ]
[ x1*x2^2*x3^3, x1, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2*x3^2 ]
[ x1*x2*x1*x3^3, x2, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2*x3^2 ]
[ x1*x2^2*x3^3, x1*x2, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2*x3^2 ]
[ x2*x1*x2^2*x3^3, x1, x2, x2^2, x1*x2*x1*x2^3 ]
[ x1*x2*x1*x3^3, x1, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2*x3^2 ]
[ x1*x2*x1*x3^3, x2, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2*x3^2 ]
[ x1*x2*x1*x3^3, x1*x2, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2*x3^2 ]
[ x1, x2, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2*x3^2 ]
[ x3^3, x1, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2*x3^2 ]
[ x2*x1*x2^2*x3^3, x2, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2*x3^2 ]
[ x3^3, x1*x2, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2*x3^2 ]
[ x1*x2*x1*x3^3, x1, x2, x2^2, x1*x2*x1*x2^3 ]
[ x2^3*x3*x1, x2*x1*x2*x3^2, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2*x3^2 ]
[ x2^3*x3*x1, x1*x2^3*x3^2, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2*x3^2 ]
[ x2^3*x3*x1, x1*x2*x1, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2*x3^2 ]
[ x2*x1*x2*x3^2, x1*x2^3*x3^2, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2*x3^2 ]
[ x1*x2*x1*x2^3*x3^3, x2*x1*x2*x3^2, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2*x3^2 ]
[ x1*x2*x1*x3^3, x1*x2^3*x3^2, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2*x3^2 ]
[ x1*x2*x1*x2^3*x3^3, x1*x2*x1, x2^2, x1*x2*x1*x2^3, x1*x2*x1*x2*x3^2 ]
[ x2^3*x3*x1, x2*x1*x2*x3^2, x1*x2^3*x3^2, x2^2, x1*x2*x1*x2^3 ]
[ x3, x3*x1*x3*x1*x3*x1*x3, x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3, x2^2,
x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x3, x2, x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3, x2^2, x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x3, x1*x2*x1*x3*x1*x3*x1*x3*x1*x3, x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3,
x2^2, x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x3*x1*x3*x1*x3*x1*x3, x2, x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3, x2^2,
x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x1*x2*x1*x3, x3*x1*x3*x1*x3*x1*x3, x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3,
x2^2, x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x1*x3*x1*x3*x1*x3, x2, x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3, x2^2,
x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x1*x2*x1*x3, x1*x2*x1*x3*x1*x3*x1*x3*x1*x3,
x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3, x2^2, x3*x1*x3*x1*x3*x1*x3*x1 ]
[ x3, x3*x1*x3*x1*x3*x1*x3, x2, x1*x3*x1*x3*x1*x3*x1*x3*x1*x3*x1*x3, x2^2 ]
[ x3^3, x3^2*x1, x1*x3*x1*x3, x2*x3*x2*x3, x3^2 ]
[ x3^3, x1*x2*x3^2*x1, x1*x3*x1*x3, x2*x3*x2*x3, x3^2 ]
[ x3^3, x1*x2, x1*x3*x1*x3, x2*x3*x2*x3, x3^2 ]
[ x3^2*x1, x1*x2*x3^2*x1, x1*x3*x1*x3, x2*x3*x2*x3, x3^2 ]
[ x3*x2*x3^2, x3^2*x1, x1*x3*x1*x3, x2*x3*x2*x3, x3^2 ]
[ x3*x1*x3^2, x1*x2*x3^2*x1, x1*x3*x1*x3, x2*x3*x2*x3, x3^2 ]
[ x3*x2*x3^2, x1*x2, x1*x3*x1*x3, x2*x3*x2*x3, x3^2 ]
[ x3^3, x3^2*x1, x1*x2*x3^2*x1, x1*x3*x1*x3, x2*x3*x2*x3 ]
[ x2*x3, x1*x3^4, x2*x3*x2*x3, x1*x3*x1*x3, x1*x2*x3*x1*x2*x3 ]
[ x2*x3, x2*x3^4, x2*x3*x2*x3, x1*x3*x1*x3, x1*x2*x3*x1*x2*x3 ]
[ x2*x3, x1*x2, x2*x3*x2*x3, x1*x3*x1*x3, x1*x2*x3*x1*x2*x3 ]
[ x1*x3^4, x2*x3^4, x2*x3*x2*x3, x1*x3*x1*x3, x1*x2*x3*x1*x2*x3 ]
[ x1*x3^3*x1, x1*x3^4, x2*x3*x2*x3, x1*x3*x1*x3, x1*x2*x3*x1*x2*x3 ]
[ x1*x3^3*x2, x2*x3^4, x2*x3*x2*x3, x1*x3*x1*x3, x1*x2*x3*x1*x2*x3 ]
[ x1*x3^3*x1, x1*x2, x2*x3*x2*x3, x1*x3*x1*x3, x1*x2*x3*x1*x2*x3 ]
[ x2*x3, x1*x3^4, x2*x3^4, x2*x3*x2*x3, x1*x3*x1*x3 ]
[ x4^3, x1*x3, x2, x2^2, x4^2 ]
[ x4^3, x1*x3, x1, x2^2, x4^2 ]
[ x4^3, x1*x3, x1*x2, x2^2, x4^2 ]
[ x4^3, x2, x1, x2^2, x4^2 ]
[ x4^3, x3, x2, x2^2, x4^2 ]
[ x4^3, x1*x2*x3, x1, x2^2, x4^2 ]
[ x4^3, x3, x1*x2, x2^2, x4^2 ]
[ x1*x3, x2, x1, x2^2, x4^2 ]
[ x1*x4^3, x1*x3, x2, x2^2, x4^2 ]
[ x2*x4^3, x1*x3, x1, x2^2, x4^2 ]
[ x1*x4^3, x1*x3, x1*x2, x2^2, x4^2 ]
[ x1*x3*x4^3, x2, x1, x2^2, x4^2 ]
[ x1*x4^3, x3, x2, x2^2, x4^2 ]
[ x2*x4^3, x1*x2*x3, x1, x2^2, x4^2 ]
[ x1*x4^3, x3, x1*x2, x2^2, x4^2 ]
[ x4^3, x1*x3, x2, x1, x2^2 ]
[ x4^3, x1*x3, x2, x2^2, x4^2 ]
[ x4^3, x1*x3, x1, x2^2, x4^2 ]
[ x4^3, x1*x3, x2*x1, x2^2, x4^2 ]
[ x4^3, x2, x1, x2^2, x4^2 ]
[ x4^3, x3, x2, x2^2, x4^2 ]
[ x4^3, x1*x2*x3, x1, x2^2, x4^2 ]
[ x4^3, x3, x2*x1, x2^2, x4^2 ]
[ x1*x3, x2, x1, x2^2, x4^2 ]
[ x1*x4^3, x1*x3, x2, x2^2, x4^2 ]
[ x2*x4^3, x1*x3, x1, x2^2, x4^2 ]
[ x1*x4^3, x1*x3, x2*x1, x2^2, x4^2 ]
[ x1*x3*x4^3, x2, x1, x2^2, x4^2 ]
[ x1*x4^3, x3, x2, x2^2, x4^2 ]
[ x2*x4^3, x1*x2*x3, x1, x2^2, x4^2 ]
[ x1*x4^3, x3, x2*x1, x2^2, x4^2 ]
[ x4^3, x1*x3, x2, x1, x2^2 ]
[ x4^3, x2*x1*x2*x3, x2, x1*x2*x1*x2, x4^2 ]
[ x4^3, x2*x1*x2*x3, x1, x1*x2*x1*x2, x4^2 ]
[ x4^3, x2*x1*x2*x3, x2*x1, x1*x2*x1*x2, x4^2 ]
[ x4^3, x2, x1, x1*x2*x1*x2, x4^2 ]
[ x4^3, x1*x2*x1*x2*x3, x2, x1*x2*x1*x2, x4^2 ]
[ x4^3, x1*x2*x3, x1, x1*x2*x1*x2, x4^2 ]
[ x4^3, x1*x2*x1*x2*x3, x2*x1, x1*x2*x1*x2, x4^2 ]
[ x2*x1*x2*x3, x2, x1, x1*x2*x1*x2, x4^2 ]
[ x1*x4^3, x2*x1*x2*x3, x2, x1*x2*x1*x2, x4^2 ]
[ x2*x4^3, x2*x1*x2*x3, x1, x1*x2*x1*x2, x4^2 ]
[ x1*x4^3, x2*x1*x2*x3, x2*x1, x1*x2*x1*x2, x4^2 ]
[ x2*x1*x2*x3*x4^3, x2, x1, x1*x2*x1*x2, x4^2 ]
[ x1*x4^3, x1*x2*x1*x2*x3, x2, x1*x2*x1*x2, x4^2 ]
[ x2*x4^3, x1*x2*x3, x1, x1*x2*x1*x2, x4^2 ]
[ x1*x4^3, x1*x2*x1*x2*x3, x2*x1, x1*x2*x1*x2, x4^2 ]
[ x4^3, x2*x1*x2*x3, x2, x1, x1*x2*x1*x2 ]
[ x4^3, x2*x3, x2, x1*x2*x1*x2, x4^2 ]
[ x4^3, x2*x3, x1, x1*x2*x1*x2, x4^2 ]
[ x4^3, x2*x3, x2*x1, x1*x2*x1*x2, x4^2 ]
[ x4^3, x2, x1, x1*x2*x1*x2, x4^2 ]
[ x4^3, x1*x2*x3, x2, x1*x2*x1*x2, x4^2 ]
[ x4^3, x3, x1, x1*x2*x1*x2, x4^2 ]
[ x4^3, x1*x2*x3, x2*x1, x1*x2*x1*x2, x4^2 ]
[ x2*x3, x2, x1, x1*x2*x1*x2, x4^2 ]
[ x1*x4^3, x2*x3, x2, x1*x2*x1*x2, x4^2 ]
[ x2*x4^3, x2*x3, x1, x1*x2*x1*x2, x4^2 ]
[ x1*x4^3, x2*x3, x2*x1, x1*x2*x1*x2, x4^2 ]
[ x2*x3*x4^3, x2, x1, x1*x2*x1*x2, x4^2 ]
[ x1*x4^3, x1*x2*x3, x2, x1*x2*x1*x2, x4^2 ]
[ x2*x4^3, x3, x1, x1*x2*x1*x2, x4^2 ]
[ x1*x4^3, x1*x2*x3, x2*x1, x1*x2*x1*x2, x4^2 ]
[ x4^3, x2*x3, x2, x1, x1*x2*x1*x2 ]
[ x3^3, x1, x1*x2*x3*x1*x2*x3, x1*x2^3*x3*x1*x2*x3, x3^2 ]
[ x3^3, x2, x1*x2*x3*x1*x2*x3, x1*x2^3*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1*x2, x1*x2*x3*x1*x2*x3, x1*x2^3*x3*x1*x2*x3, x3^2 ]
[ x1, x2, x1*x2*x3*x1*x2*x3, x1*x2^3*x3*x1*x2*x3, x3^2 ]
[ x3*x2*x3^2, x1, x1*x2*x3*x1*x2*x3, x1*x2^3*x3*x1*x2*x3, x3^2 ]
[ x1*x3^3, x2, x1*x2*x3*x1*x2*x3, x1*x2^3*x3*x1*x2*x3, x3^2 ]
[ x3*x2*x3^2, x1*x2, x1*x2*x3*x1*x2*x3, x1*x2^3*x3*x1*x2*x3, x3^2 ]
[ x3^3, x1, x2, x1*x2*x3*x1*x2*x3, x1*x2^3*x3*x1*x2*x3 ]
[ x3*x2*x3^4, x1, x2*x3*x2*x3, x1*x2*x3*x1*x3*x2*x3^2, x2*x3*x2*x3^3 ]
[ x3*x2*x3^4, x2, x2*x3*x2*x3, x1*x2*x3*x1*x3*x2*x3^2, x2*x3*x2*x3^3 ]
[ x3*x2*x3^4, x1*x2, x2*x3*x2*x3, x1*x2*x3*x1*x3*x2*x3^2, x2*x3*x2*x3^3 ]
[ x1, x2, x2*x3*x2*x3, x1*x2*x3*x1*x3*x2*x3^2, x2*x3*x2*x3^3 ]
[ x2*x3*x2*x3^4, x1, x2*x3*x2*x3, x1*x2*x3*x1*x3*x2*x3^2, x2*x3*x2*x3^3 ]
[ x3*x1*x2*x3^4, x2, x2*x3*x2*x3, x1*x2*x3*x1*x3*x2*x3^2, x2*x3*x2*x3^3 ]
[ x2*x3*x2*x3^4, x1*x2, x2*x3*x2*x3, x1*x2*x3*x1*x3*x2*x3^2, x2*x3*x2*x3^3 ]
[ x3*x2*x3^4, x1, x2, x2*x3*x2*x3, x1*x2*x3*x1*x3*x2*x3^2 ]
[ x4^3, x3, x4^2*x1, x3^2, x4^2 ]
[ x4^3, x3, x2*x4^2*x1, x3^2, x4^2 ]
[ x4^3, x3, x2, x3^2, x4^2 ]
[ x4^3, x4^2*x1, x2*x4^2*x1, x3^2, x4^2 ]
[ x4^3, x1*x2*x3*x1*x4^2*x1, x4^2*x1, x3^2, x4^2 ]
[ x4^3, x3*x4^2*x1, x2*x4^2*x1, x3^2, x4^2 ]
[ x4^3, x1*x2*x3*x1*x4^2*x1, x2, x3^2, x4^2 ]
[ x3, x4^2*x1, x2*x4^2*x1, x3^2, x4^2 ]
[ x1*x2*x4, x3, x4^2*x1, x3^2, x4^2 ]
[ x1*x4, x3, x2*x4^2*x1, x3^2, x4^2 ]
[ x1*x2*x4, x3, x2, x3^2, x4^2 ]
[ x3*x4^3, x4^2*x1, x2*x4^2*x1, x3^2, x4^2 ]
[ x1*x2*x4, x1*x2*x3*x1*x4^2*x1, x4^2*x1, x3^2, x4^2 ]
[ x1*x4, x3*x4^2*x1, x2*x4^2*x1, x3^2, x4^2 ]
[ x1*x2*x4, x1*x2*x3*x1*x4^2*x1, x2, x3^2, x4^2 ]
[ x4^3, x3, x4^2*x1, x2*x4^2*x1, x3^2 ]
[ x4^3, x3, x1, x3^2, x4^2 ]
[ x4^3, x3, x2, x3^2, x4^2 ]
[ x4^3, x3, x1*x2, x3^2, x4^2 ]
[ x4^3, x1, x2, x3^2, x4^2 ]
[ x4^3, x2*x3, x1, x3^2, x4^2 ]
[ x4^3, x3*x1, x2, x3^2, x4^2 ]
[ x4^3, x2*x3, x1*x2, x3^2, x4^2 ]
[ x3, x1, x2, x3^2, x4^2 ]
[ x2*x4^3, x3, x1, x3^2, x4^2 ]
[ x1*x4^3, x3, x2, x3^2, x4^2 ]
[ x2*x4^3, x3, x1*x2, x3^2, x4^2 ]
[ x3*x4^3, x1, x2, x3^2, x4^2 ]
[ x2*x4^3, x2*x3, x1, x3^2, x4^2 ]
[ x1*x4^3, x3*x1, x2, x3^2, x4^2 ]
[ x2*x4^3, x2*x3, x1*x2, x3^2, x4^2 ]
[ x4^3, x3, x1, x2, x3^2 ]
[ x1^2*x3^3, x3^2*x1, x1*x3*x1*x3, x1^3*x3*x1*x3, x3^2 ]
[ x1^2*x3^3, x2*x3^2*x1, x1*x3*x1*x3, x1^3*x3*x1*x3, x3^2 ]
[ x1^2*x3^3, x1^2*x2, x1*x3*x1*x3, x1^3*x3*x1*x3, x3^2 ]
[ x3^2*x1, x2*x3^2*x1, x1*x3*x1*x3, x1^3*x3*x1*x3, x3^2 ]
[ x1^2*x2*x3*x1*x3^2, x3^2*x1, x1*x3*x1*x3, x1^3*x3*x1*x3, x3^2 ]
[ x1^2*x3*x1*x3^2, x2*x3^2*x1, x1*x3*x1*x3, x1^3*x3*x1*x3, x3^2 ]
[ x1^2*x2*x3*x1*x3^2, x1^2*x2, x1*x3*x1*x3, x1^3*x3*x1*x3, x3^2 ]
[ x1^2*x3^3, x3^2*x1, x2*x3^2*x1, x1*x3*x1*x3, x1^3*x3*x1*x3 ]
[ x1*x3^4*x1*x3, x1*x3^4, x3^6, x1*x3*x1*x3^7, x1*x3^4*x1 ]
[ x1*x3^4*x1*x3, x1*x2*x3^4, x3^6, x1*x3*x1*x3^7, x1*x3^4*x1 ]
[ x1*x3^4*x1*x3, x2, x3^6, x1*x3*x1*x3^7, x1*x3^4*x1 ]
[ x1*x3^4, x1*x2*x3^4, x3^6, x1*x3*x1*x3^7, x1*x3^4*x1 ]
[ x2*x3^5*x1, x1*x3^4, x3^6, x1*x3*x1*x3^7, x1*x3^4*x1 ]
[ x3^5*x1, x1*x2*x3^4, x3^6, x1*x3*x1*x3^7, x1*x3^4*x1 ]
[ x2*x3^5*x1, x2, x3^6, x1*x3*x1*x3^7, x1*x3^4*x1 ]
[ x1*x3^4*x1*x3, x1*x3^4, x1*x2*x3^4, x3^6, x1*x3*x1*x3^7 ]
[ x1*x3^4*x1*x3, x1*x3^4, x1*x2*x3*x1*x2*x3, x1*x2*x3*x2*x3*x1*x3^2,
x1*x3^4*x1 ]
[ x1*x3^4*x1*x3, x1*x2*x3^4, x1*x2*x3*x1*x2*x3, x1*x2*x3*x2*x3*x1*x3^2,
x1*x3^4*x1 ]
[ x1*x3^4*x1*x3, x2, x1*x2*x3*x1*x2*x3, x1*x2*x3*x2*x3*x1*x3^2, x1*x3^4*x1 ]
[ x1*x3^4, x1*x2*x3^4, x1*x2*x3*x1*x2*x3, x1*x2*x3*x2*x3*x1*x3^2, x1*x3^4*x1 ]
[ x1*x2*x3, x1*x3^4, x1*x2*x3*x1*x2*x3, x1*x2*x3*x2*x3*x1*x3^2, x1*x3^4*x1 ]
[ x1*x2*x3*x2, x1*x2*x3^4, x1*x2*x3*x1*x2*x3, x1*x2*x3*x2*x3*x1*x3^2,
x1*x3^4*x1 ]
[ x1*x2*x3, x2, x1*x2*x3*x1*x2*x3, x1*x2*x3*x2*x3*x1*x3^2, x1*x3^4*x1 ]
[ x1*x3^4*x1*x3, x1*x3^4, x1*x2*x3^4, x1*x2*x3*x1*x2*x3,
x1*x2*x3*x2*x3*x1*x3^2 ]
[ x4^3, x1*x3, x2, x1*x2*x1*x2, x4^2 ]
[ x4^3, x1*x3, x1, x1*x2*x1*x2, x4^2 ]
[ x4^3, x1*x3, x2*x1, x1*x2*x1*x2, x4^2 ]
[ x4^3, x2, x1, x1*x2*x1*x2, x4^2 ]
[ x4^3, x3, x2, x1*x2*x1*x2, x4^2 ]
[ x4^3, x1*x2*x3, x1, x1*x2*x1*x2, x4^2 ]
[ x4^3, x3, x2*x1, x1*x2*x1*x2, x4^2 ]
[ x1*x3, x2, x1, x1*x2*x1*x2, x4^2 ]
[ x1*x4^3, x1*x3, x2, x1*x2*x1*x2, x4^2 ]
[ x1*x2*x1*x4^3, x1*x3, x1, x1*x2*x1*x2, x4^2 ]
[ x1*x4^3, x1*x3, x2*x1, x1*x2*x1*x2, x4^2 ]
[ x1*x3*x4^3, x2, x1, x1*x2*x1*x2, x4^2 ]
[ x1*x4^3, x3, x2, x1*x2*x1*x2, x4^2 ]
[ x1*x2*x1*x4^3, x1*x2*x3, x1, x1*x2*x1*x2, x4^2 ]
[ x1*x4^3, x3, x2*x1, x1*x2*x1*x2, x4^2 ]
[ x4^3, x1*x3, x2, x1, x1*x2*x1*x2 ]
[ x4*x2*x4*x2*x4, x2*x3, x2, x1*x2*x1*x2, x2*x4*x2*x4 ]
[ x4*x2*x4*x2*x4, x2*x3, x1, x1*x2*x1*x2, x2*x4*x2*x4 ]
[ x4*x2*x4*x2*x4, x2*x3, x2*x1, x1*x2*x1*x2, x2*x4*x2*x4 ]
[ x4*x2*x4*x2*x4, x2, x1, x1*x2*x1*x2, x2*x4*x2*x4 ]
[ x4*x2*x4*x2*x4, x1*x2*x3, x2, x1*x2*x1*x2, x2*x4*x2*x4 ]
[ x4*x2*x4*x2*x4, x3, x1, x1*x2*x1*x2, x2*x4*x2*x4 ]
[ x4*x2*x4*x2*x4, x1*x2*x3, x2*x1, x1*x2*x1*x2, x2*x4*x2*x4 ]
[ x2*x3, x2, x1, x1*x2*x1*x2, x2*x4*x2*x4 ]
[ x1*x4*x2*x4*x2*x4, x2*x3, x2, x1*x2*x1*x2, x2*x4*x2*x4 ]
[ x2*x4*x2*x4*x2*x4, x2*x3, x1, x1*x2*x1*x2, x2*x4*x2*x4 ]
[ x1*x4*x2*x4*x2*x4, x2*x3, x2*x1, x1*x2*x1*x2, x2*x4*x2*x4 ]
[ x2*x3*x4*x2*x4*x2*x4, x2, x1, x1*x2*x1*x2, x2*x4*x2*x4 ]
[ x1*x4*x2*x4*x2*x4, x1*x2*x3, x2, x1*x2*x1*x2, x2*x4*x2*x4 ]
[ x2*x4*x2*x4*x2*x4, x3, x1, x1*x2*x1*x2, x2*x4*x2*x4 ]
[ x1*x4*x2*x4*x2*x4, x1*x2*x3, x2*x1, x1*x2*x1*x2, x2*x4*x2*x4 ]
[ x4*x2*x4*x2*x4, x2*x3, x2, x1, x1*x2*x1*x2 ]
gap> LogTo();