gap> RequirePackage("carat"); true gap> names := []; [ ] gap> GROUPS := []; [ ] gap> R := CaratReadBravaisFile("ordnung.12/(2)^2(6)^4/group.2813"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 12 ) gap> P1 := Group(R.generators); gap> Append(names,["ordnung.12/(2)^2(6)^4/words.group.2813"]); gap> Append(GROUPS,[P1]); gap> R := CaratReadBravaisFile("ordnung.12/(2)^2(6)^4/group.2814"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 12 ) gap> P2 := Group(R.generators); gap> Append(names,["ordnung.12/(2)^2(6)^4/words.group.2814"]); gap> Append(GROUPS,[P2]); gap> R := CaratReadBravaisFile("ordnung.12/(2)^2(6)^4/group.2815"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 12 ) gap> P3 := Group(R.generators); gap> Append(names,["ordnung.12/(2)^2(6)^4/words.group.2815"]); gap> Append(GROUPS,[P3]); gap> R := CaratReadBravaisFile("ordnung.12/(2)^2(6)^4/group.2816"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 12 ) gap> P4 := Group(R.generators); gap> Append(names,["ordnung.12/(2)^2(6)^4/words.group.2816"]); gap> Append(GROUPS,[P4]); gap> R := CaratReadBravaisFile("ordnung.12/(2)^4(6)^2/group.2817"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 12 ) gap> P5 := Group(R.generators); gap> Append(names,["ordnung.12/(2)^4(6)^2/words.group.2817"]); gap> Append(GROUPS,[P5]); gap> R := CaratReadBravaisFile("ordnung.12/(2)^4(6)^2/group.2818"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 12 ) gap> P6 := Group(R.generators); gap> Append(names,["ordnung.12/(2)^4(6)^2/words.group.2818"]); gap> Append(GROUPS,[P6]); gap> R := CaratReadBravaisFile("ordnung.12/(2)^4(6)^4(18)^2/group.2819"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 12 ) gap> P7 := Group(R.generators); gap> Append(names,["ordnung.12/(2)^4(6)^4(18)^2/words.group.2819"]); gap> Append(GROUPS,[P7]); gap> R := CaratReadBravaisFile("ordnung.12/(2)^4(6)^4(18)^2/group.2820"); rec( generators := [ [ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 12 ) gap> P8 := Group(R.generators); gap> Append(names,["ordnung.12/(2)^4(6)^4(18)^2/words.group.2820"]); gap> Append(GROUPS,[P8]); gap> R := CaratReadBravaisFile("ordnung.12/(2)^4(6)^4(18)^2/min.406"); rec( generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 12 ) gap> P9 := Group(R.generators); gap> Append(names,["ordnung.12/(2)^4(6)^4(18)^2/words.min.406"]); gap> Append(GROUPS,[P9]); gap> R := CaratReadBravaisFile("ordnung.12/(2)^4(6)^4(18)^2/min.407"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 12 ) gap> P10 := Group(R.generators); gap> Append(names,["ordnung.12/(2)^4(6)^4(18)^2/words.min.407"]); gap> Append(GROUPS,[P10]); gap> R := CaratReadBravaisFile("ordnung.12/(6)^6/group.2821"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 12 ) gap> P11 := Group(R.generators); gap> Append(names,["ordnung.12/(6)^6/words.group.2821"]); gap> Append(GROUPS,[P11]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^3(3)^3(6)^2/group.2822"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 144 ) gap> P12 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^3(3)^3(6)^2/words.group.2822"]); gap> Append(GROUPS,[P12]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^3(3)^3(6)^2/group.2823"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 144 ) gap> P13 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^3(3)^3(6)^2/words.group.2823"]); gap> Append(GROUPS,[P13]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^3(3)^5(6)^1(18)^1/group.2824"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 144 ) gap> P14 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^3(3)^5(6)^1(18)^1/words.group.2824"]); gap> Append(GROUPS,[P14]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^4(3)^2(6)^1(18)^1/group.2825"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 144 ) gap> P15 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^4(3)^2(6)^1(18)^1/words.group.2825"]); gap> Append(GROUPS,[P15]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^4(3)^4(18)^2/group.2826"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 144 ) gap> P16 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^4(3)^4(18)^2/words.group.2826"]); gap> Append(GROUPS,[P16]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^4(3)^4(18)^2/group.2827"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 144 ) gap> P17 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^4(3)^4(18)^2/words.group.2827"]); gap> Append(GROUPS,[P17]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^4(3)^4(18)^2/group.2828"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 144 ) gap> P18 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^4(3)^4(18)^2/words.group.2828"]); gap> Append(GROUPS,[P18]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^4(3)^4(18)^2/group.2829"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 144 ) gap> P19 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^4(3)^4(18)^2/words.group.2829"]); gap> Append(GROUPS,[P19]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^4(6)^2/group.2830"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 144 ) gap> P20 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^4(6)^2/words.group.2830"]); gap> Append(GROUPS,[P20]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^1(6)^2/group.2831"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 144 ) gap> P21 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^5(3)^1(6)^2/words.group.2831"]); gap> Append(GROUPS,[P21]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^1(6)^2/group.2832"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 144 ) gap> P22 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^5(3)^1(6)^2/words.group.2832"]); gap> Append(GROUPS,[P22]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^1(6)^2/group.2833"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 144 ) gap> P23 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^5(3)^1(6)^2/words.group.2833"]); gap> Append(GROUPS,[P23]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^1(6)^2/group.2834"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 144 ) gap> P24 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^5(3)^1(6)^2/words.group.2834"]); gap> Append(GROUPS,[P24]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^1(6)^2/group.2835"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 144 ) gap> P25 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^5(3)^1(6)^2/words.group.2835"]); gap> Append(GROUPS,[P25]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^1(6)^2/group.2836"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 144 ) gap> P26 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^5(3)^1(6)^2/words.group.2836"]); gap> Append(GROUPS,[P26]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^1(6)^2/group.2837"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 144 ) gap> P27 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^5(3)^1(6)^2/words.group.2837"]); gap> Append(GROUPS,[P27]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^1(6)^2/group.2838"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 144 ) gap> P28 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^5(3)^1(6)^2/words.group.2838"]); gap> Append(GROUPS,[P28]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^1(6)^2/group.2839"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 144 ) gap> P29 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^5(3)^1(6)^2/words.group.2839"]); gap> Append(GROUPS,[P29]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^1(6)^2/group.2840"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 144 ) gap> P30 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^5(3)^1(6)^2/words.group.2840"]); gap> Append(GROUPS,[P30]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^1(6)^2/group.2841"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 144 ) gap> P31 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^5(3)^1(6)^2/words.group.2841"]); gap> Append(GROUPS,[P31]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^1(6)^2/group.2842"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 144 ) gap> P32 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^5(3)^1(6)^2/words.group.2842"]); gap> Append(GROUPS,[P32]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2843"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 144 ) gap> P33 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2843"]); gap> Append(GROUPS,[P33]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2844"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ] , size := 144 ) gap> P34 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2844"]); gap> Append(GROUPS,[P34]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2845"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 144 ) gap> P35 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2845"]); gap> Append(GROUPS,[P35]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2846"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 144 ) gap> P36 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2846"]); gap> Append(GROUPS,[P36]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2847"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 144 ) gap> P37 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2847"]); gap> Append(GROUPS,[P37]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2848"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ] , size := 144 ) gap> P38 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2848"]); gap> Append(GROUPS,[P38]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2849"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 144 ) gap> P39 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2849"]); gap> Append(GROUPS,[P39]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2850"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ] , size := 144 ) gap> P40 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2850"]); gap> Append(GROUPS,[P40]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2851"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 144 ) gap> P41 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2851"]); gap> Append(GROUPS,[P41]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2852"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 144 ) gap> P42 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2852"]); gap> Append(GROUPS,[P42]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2853"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 144 ) gap> P43 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2853"]); gap> Append(GROUPS,[P43]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2854"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] , [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 144 ) gap> P44 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2854"]); gap> Append(GROUPS,[P44]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2855"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 144 ) gap> P45 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2855"]); gap> Append(GROUPS,[P45]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2856"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 144 ) gap> P46 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2856"]); gap> Append(GROUPS,[P46]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2857"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 144 ) gap> P47 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2857"]); gap> Append(GROUPS,[P47]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2858"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] , [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 144 ) gap> P48 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2858"]); gap> Append(GROUPS,[P48]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2859"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 144 ) gap> P49 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2859"]); gap> Append(GROUPS,[P49]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2860"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ] , size := 144 ) gap> P50 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2860"]); gap> Append(GROUPS,[P50]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2861"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 144 ) gap> P51 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2861"]); gap> Append(GROUPS,[P51]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2862"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 144 ) gap> P52 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2862"]); gap> Append(GROUPS,[P52]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2863"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 144 ) gap> P53 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2863"]); gap> Append(GROUPS,[P53]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2864"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 144 ) gap> P54 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2864"]); gap> Append(GROUPS,[P54]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2865"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 144 ) gap> P55 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2865"]); gap> Append(GROUPS,[P55]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2866"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 144 ) gap> P56 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2866"]); gap> Append(GROUPS,[P56]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2867"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 144 ) gap> P57 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2867"]); gap> Append(GROUPS,[P57]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2868"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 144 ) gap> P58 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2868"]); gap> Append(GROUPS,[P58]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2869"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 144 ) gap> P59 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2869"]); gap> Append(GROUPS,[P59]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2870"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 144 ) gap> P60 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2870"]); gap> Append(GROUPS,[P60]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2871"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 144 ) gap> P61 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2871"]); gap> Append(GROUPS,[P61]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2872"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 144 ) gap> P62 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2872"]); gap> Append(GROUPS,[P62]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2873"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 144 ) gap> P63 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2873"]); gap> Append(GROUPS,[P63]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2874"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 144 ) gap> P64 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2874"]); gap> Append(GROUPS,[P64]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2875"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 144 ) gap> P65 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2875"]); gap> Append(GROUPS,[P65]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2876"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 144 ) gap> P66 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2876"]); gap> Append(GROUPS,[P66]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2877"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 144 ) gap> P67 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2877"]); gap> Append(GROUPS,[P67]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2878"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 144 ) gap> P68 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2878"]); gap> Append(GROUPS,[P68]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2879"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 144 ) gap> P69 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2879"]); gap> Append(GROUPS,[P69]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2880"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 144 ) gap> P70 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2880"]); gap> Append(GROUPS,[P70]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2881"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 144 ) gap> P71 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2881"]); gap> Append(GROUPS,[P71]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2882"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] , [ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ] , size := 144 ) gap> P72 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2882"]); gap> Append(GROUPS,[P72]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2883"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] , [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 144 ) gap> P73 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2883"]); gap> Append(GROUPS,[P73]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2884"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 144 ) gap> P74 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2884"]); gap> Append(GROUPS,[P74]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2885"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 144 ) gap> P75 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2885"]); gap> Append(GROUPS,[P75]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2886"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 144 ) gap> P76 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2886"]); gap> Append(GROUPS,[P76]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2887"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 144 ) gap> P77 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2887"]); gap> Append(GROUPS,[P77]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2888"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 144 ) gap> P78 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2888"]); gap> Append(GROUPS,[P78]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2889"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 144 ) gap> P79 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2889"]); gap> Append(GROUPS,[P79]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2890"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 144 ) gap> P80 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2890"]); gap> Append(GROUPS,[P80]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2891"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 144 ) gap> P81 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2891"]); gap> Append(GROUPS,[P81]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2892"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 144 ) gap> P82 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2892"]); gap> Append(GROUPS,[P82]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2893"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 144 ) gap> P83 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2893"]); gap> Append(GROUPS,[P83]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2894"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 144 ) gap> P84 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2894"]); gap> Append(GROUPS,[P84]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2895"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 144 ) gap> P85 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2895"]); gap> Append(GROUPS,[P85]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2896"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 144 ) gap> P86 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2896"]); gap> Append(GROUPS,[P86]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2897"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ] , size := 144 ) gap> P87 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2897"]); gap> Append(GROUPS,[P87]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2898"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 144 ) gap> P88 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2898"]); gap> Append(GROUPS,[P88]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2899"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 144 ) gap> P89 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2899"]); gap> Append(GROUPS,[P89]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2900"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 144 ) gap> P90 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2900"]); gap> Append(GROUPS,[P90]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2901"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] , [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 144 ) gap> P91 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2901"]); gap> Append(GROUPS,[P91]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2902"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 144 ) gap> P92 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2902"]); gap> Append(GROUPS,[P92]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2903"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 144 ) gap> P93 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2903"]); gap> Append(GROUPS,[P93]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2904"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 144 ) gap> P94 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2904"]); gap> Append(GROUPS,[P94]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2905"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ] , size := 144 ) gap> P95 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2905"]); gap> Append(GROUPS,[P95]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2906"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 144 ) gap> P96 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2906"]); gap> Append(GROUPS,[P96]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2907"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 144 ) gap> P97 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2907"]); gap> Append(GROUPS,[P97]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2908"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 144 ) gap> P98 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2908"]); gap> Append(GROUPS,[P98]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2909"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 144 ) gap> P99 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2909"]); gap> Append(GROUPS,[P99]); gap> R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2910"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 144 ) gap> P100 := Group(R.generators); gap> Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2910"]); gap> Append(GROUPS,[P100]); gap> R := CaratReadBravaisFile("ordnung.18/(1)^2(3)^2(18)^2/min.408"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 18 ) gap> P101 := Group(R.generators); gap> Append(names,["ordnung.18/(1)^2(3)^2(18)^2/words.min.408"]); gap> Append(GROUPS,[P101]); gap> R := CaratReadBravaisFile("ordnung.18/(1)^2(3)^2(18)^2/min.409"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 18 ) gap> P102 := Group(R.generators); gap> Append(names,["ordnung.18/(1)^2(3)^2(18)^2/words.min.409"]); gap> Append(GROUPS,[P102]); gap> R := CaratReadBravaisFile("ordnung.18/(1)^2(3)^3(9)^1(18)^2/min.410"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 18 ) gap> P103 := Group(R.generators); gap> Append(names,["ordnung.18/(1)^2(3)^3(9)^1(18)^2/words.min.410"]); gap> Append(GROUPS,[P103]); gap> R := CaratReadBravaisFile("ordnung.18/(1)^2(3)^3(9)^1(18)^2/min.411"); rec( generators := [ [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 18 ) gap> P104 := Group(R.generators); gap> Append(names,["ordnung.18/(1)^2(3)^3(9)^1(18)^2/words.min.411"]); gap> Append(GROUPS,[P104]); gap> R := CaratReadBravaisFile("ordnung.18/(3)^4(6)^2/group.2911"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 18 ) gap> P105 := Group(R.generators); gap> Append(names,["ordnung.18/(3)^4(6)^2/words.group.2911"]); gap> Append(GROUPS,[P105]); gap> R := CaratReadBravaisFile("ordnung.18/(3)^8(18)^2/min.412"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 18 ) gap> P106 := Group(R.generators); gap> Append(names,["ordnung.18/(3)^8(18)^2/words.min.412"]); gap> Append(GROUPS,[P106]); gap> R := CaratReadBravaisFile("ordnung.24/(2)^2(6)^4/group.2912"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 24 ) gap> P107 := Group(R.generators); gap> Append(names,["ordnung.24/(2)^2(6)^4/words.group.2912"]); gap> Append(GROUPS,[P107]); gap> R := CaratReadBravaisFile("ordnung.24/(2)^4(6)^2/group.2913"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 24 ) gap> P108 := Group(R.generators); gap> Append(names,["ordnung.24/(2)^4(6)^2/words.group.2913"]); gap> Append(GROUPS,[P108]); gap> R := CaratReadBravaisFile("ordnung.24/(2)^4(6)^2/group.2914"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 24 ) gap> P109 := Group(R.generators); gap> Append(names,["ordnung.24/(2)^4(6)^2/words.group.2914"]); gap> Append(GROUPS,[P109]); gap> R := CaratReadBravaisFile("ordnung.24/(2)^4(6)^2/group.2915"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 24 ) gap> P110 := Group(R.generators); gap> Append(names,["ordnung.24/(2)^4(6)^2/words.group.2915"]); gap> Append(GROUPS,[P110]); gap> R := CaratReadBravaisFile("ordnung.24/(2)^4(6)^2/group.2916"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 24 ) gap> P111 := Group(R.generators); gap> Append(names,["ordnung.24/(2)^4(6)^2/words.group.2916"]); gap> Append(GROUPS,[P111]); gap> R := CaratReadBravaisFile("ordnung.24/(2)^4(6)^2/group.2917"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 24 ) gap> P112 := Group(R.generators); gap> Append(names,["ordnung.24/(2)^4(6)^2/words.group.2917"]); gap> Append(GROUPS,[P112]); gap> R := CaratReadBravaisFile("ordnung.24/(2)^4(6)^4(18)^2/group.2918"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 24 ) gap> P113 := Group(R.generators); gap> Append(names,["ordnung.24/(2)^4(6)^4(18)^2/words.group.2918"]); gap> Append(GROUPS,[P113]); gap> R := CaratReadBravaisFile("ordnung.24/(2)^4(6)^4(18)^2/group.2919"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 24 ) gap> P114 := Group(R.generators); gap> Append(names,["ordnung.24/(2)^4(6)^4(18)^2/words.group.2919"]); gap> Append(GROUPS,[P114]); gap> R := CaratReadBravaisFile("ordnung.24/(2)^5(6)^4(18)^1/group.2920"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 24 ) gap> P115 := Group(R.generators); gap> Append(names,["ordnung.24/(2)^5(6)^4(18)^1/words.group.2920"]); gap> Append(GROUPS,[P115]); gap> R := CaratReadBravaisFile("ordnung.24/(2)^5(6)^4(18)^1/group.2921"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 24 ) gap> P116 := Group(R.generators); gap> Append(names,["ordnung.24/(2)^5(6)^4(18)^1/words.group.2921"]); gap> Append(GROUPS,[P116]); gap> R := CaratReadBravaisFile("ordnung.24/(2)^5(6)^4(18)^1/group.2922"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 24 ) gap> P117 := Group(R.generators); gap> Append(names,["ordnung.24/(2)^5(6)^4(18)^1/words.group.2922"]); gap> Append(GROUPS,[P117]); gap> R := CaratReadBravaisFile("ordnung.24/(2)^5(6)^4(18)^1/group.2923"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] , [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 24 ) gap> P118 := Group(R.generators); gap> Append(names,["ordnung.24/(2)^5(6)^4(18)^1/words.group.2923"]); gap> Append(GROUPS,[P118]); gap> R := CaratReadBravaisFile("ordnung.24/(2)^5(6)^4(18)^1/group.2924"); rec( generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 24 ) gap> P119 := Group(R.generators); gap> Append(names,["ordnung.24/(2)^5(6)^4(18)^1/words.group.2924"]); gap> Append(GROUPS,[P119]); gap> R := CaratReadBravaisFile("ordnung.24/(2)^5(6)^4(18)^1/group.2925"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 24 ) gap> P120 := Group(R.generators); gap> Append(names,["ordnung.24/(2)^5(6)^4(18)^1/words.group.2925"]); gap> Append(GROUPS,[P120]); gap> R := CaratReadBravaisFile("ordnung.24/(2)^6(6)^4/group.2926"); rec( generators := [ [ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 24 ) gap> P121 := Group(R.generators); gap> Append(names,["ordnung.24/(2)^6(6)^4/words.group.2926"]); gap> Append(GROUPS,[P121]); gap> R := CaratReadBravaisFile("ordnung.24/(2)^6(6)^4/group.2927"); rec( generators := [ [ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 24 ) gap> P122 := Group(R.generators); gap> Append(names,["ordnung.24/(2)^6(6)^4/words.group.2927"]); gap> Append(GROUPS,[P122]); gap> R := CaratReadBravaisFile("ordnung.24/(2)^6(6)^4/group.2928"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] , [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ] , size := 24 ) gap> P123 := Group(R.generators); gap> Append(names,["ordnung.24/(2)^6(6)^4/words.group.2928"]); gap> Append(GROUPS,[P123]); gap> R := CaratReadBravaisFile("ordnung.24/(2)^6(6)^4/group.2929"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 24 ) gap> P124 := Group(R.generators); gap> Append(names,["ordnung.24/(2)^6(6)^4/words.group.2929"]); gap> Append(GROUPS,[P124]); gap> R := CaratReadBravaisFile("ordnung.24/(2)^6(6)^4/group.2930"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 24 ) gap> P125 := Group(R.generators); gap> Append(names,["ordnung.24/(2)^6(6)^4/words.group.2930"]); gap> Append(GROUPS,[P125]); gap> R := CaratReadBravaisFile("ordnung.24/(2)^6(6)^4/group.2931"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 24 ) gap> P126 := Group(R.generators); gap> Append(names,["ordnung.24/(2)^6(6)^4/words.group.2931"]); gap> Append(GROUPS,[P126]); gap> R := CaratReadBravaisFile("ordnung.288/(1)^5(3)^1(6)^2/group.2932"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 288 ) gap> P127 := Group(R.generators); gap> Append(names,["ordnung.288/(1)^5(3)^1(6)^2/words.group.2932"]); gap> Append(GROUPS,[P127]); gap> R := CaratReadBravaisFile("ordnung.288/(1)^5(3)^3(6)^1(18)^1/group.2933"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ] , size := 288 ) gap> P128 := Group(R.generators); gap> Append(names,["ordnung.288/(1)^5(3)^3(6)^1(18)^1/words.group.2933"]); gap> Append(GROUPS,[P128]); gap> R := CaratReadBravaisFile("ordnung.288/(1)^5(3)^3(6)^1(18)^1/group.2934"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 288 ) gap> P129 := Group(R.generators); gap> Append(names,["ordnung.288/(1)^5(3)^3(6)^1(18)^1/words.group.2934"]); gap> Append(GROUPS,[P129]); gap> R := CaratReadBravaisFile("ordnung.288/(1)^6(3)^2(6)^2/group.2935"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ] , size := 288 ) gap> P130 := Group(R.generators); gap> Append(names,["ordnung.288/(1)^6(3)^2(6)^2/words.group.2935"]); gap> Append(GROUPS,[P130]); gap> R := CaratReadBravaisFile("ordnung.288/(1)^6(3)^2(6)^2/group.2936"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 288 ) gap> P131 := Group(R.generators); gap> Append(names,["ordnung.288/(1)^6(3)^2(6)^2/words.group.2936"]); gap> Append(GROUPS,[P131]); gap> R := CaratReadBravaisFile("ordnung.288/(1)^6(3)^2(6)^2/group.2937"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ] , size := 288 ) gap> P132 := Group(R.generators); gap> Append(names,["ordnung.288/(1)^6(3)^2(6)^2/words.group.2937"]); gap> Append(GROUPS,[P132]); gap> R := CaratReadBravaisFile("ordnung.288/(1)^6(3)^2(6)^2/group.2938"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 288 ) gap> P133 := Group(R.generators); gap> Append(names,["ordnung.288/(1)^6(3)^2(6)^2/words.group.2938"]); gap> Append(GROUPS,[P133]); gap> R := CaratReadBravaisFile("ordnung.288/(1)^6(3)^2(6)^2/group.2939"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 288 ) gap> P134 := Group(R.generators); gap> Append(names,["ordnung.288/(1)^6(3)^2(6)^2/words.group.2939"]); gap> Append(GROUPS,[P134]); gap> R := CaratReadBravaisFile("ordnung.288/(1)^6(3)^2(6)^2/group.2940"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 288 ) gap> P135 := Group(R.generators); gap> Append(names,["ordnung.288/(1)^6(3)^2(6)^2/words.group.2940"]); gap> Append(GROUPS,[P135]); gap> R := CaratReadBravaisFile("ordnung.288/(1)^6(3)^2(6)^2/group.2941"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 288 ) gap> P136 := Group(R.generators); gap> Append(names,["ordnung.288/(1)^6(3)^2(6)^2/words.group.2941"]); gap> Append(GROUPS,[P136]); gap> R := CaratReadBravaisFile("ordnung.288/(1)^6(3)^2(6)^2/group.2942"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 288 ) gap> P137 := Group(R.generators); gap> Append(names,["ordnung.288/(1)^6(3)^2(6)^2/words.group.2942"]); gap> Append(GROUPS,[P137]); gap> R := CaratReadBravaisFile("ordnung.288/(1)^6(3)^2(6)^2/group.2943"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 288 ) gap> P138 := Group(R.generators); gap> Append(names,["ordnung.288/(1)^6(3)^2(6)^2/words.group.2943"]); gap> Append(GROUPS,[P138]); gap> R := CaratReadBravaisFile("ordnung.288/(1)^6(3)^2(6)^2/group.2944"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ] , size := 288 ) gap> P139 := Group(R.generators); gap> Append(names,["ordnung.288/(1)^6(3)^2(6)^2/words.group.2944"]); gap> Append(GROUPS,[P139]); gap> R := CaratReadBravaisFile("ordnung.288/(1)^6(3)^2(6)^2/group.2945"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 288 ) gap> P140 := Group(R.generators); gap> Append(names,["ordnung.288/(1)^6(3)^2(6)^2/words.group.2945"]); gap> Append(GROUPS,[P140]); gap> R := CaratReadBravaisFile("ordnung.288/(1)^6(3)^2(6)^2/group.2946"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 288 ) gap> P141 := Group(R.generators); gap> Append(names,["ordnung.288/(1)^6(3)^2(6)^2/words.group.2946"]); gap> Append(GROUPS,[P141]); gap> R := CaratReadBravaisFile("ordnung.288/(1)^6(3)^2(6)^2/group.2947"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 288 ) gap> P142 := Group(R.generators); gap> Append(names,["ordnung.288/(1)^6(3)^2(6)^2/words.group.2947"]); gap> Append(GROUPS,[P142]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^2(18)^2/group.2948"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 36 ) gap> P143 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^2(3)^2(18)^2/words.group.2948"]); gap> Append(GROUPS,[P143]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^2(6)^2/group.2949"); rec( generators := [ [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 36 ) gap> P144 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^2(3)^2(6)^2/words.group.2949"]); gap> Append(GROUPS,[P144]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^2(6)^2/group.2950"); rec( generators := [ [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 36 ) gap> P145 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^2(3)^2(6)^2/words.group.2950"]); gap> Append(GROUPS,[P145]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^2(6)^2/group.2951"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 36 ) gap> P146 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^2(3)^2(6)^2/words.group.2951"]); gap> Append(GROUPS,[P146]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^2(6)^2/group.2952"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 36 ) gap> P147 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^2(3)^2(6)^2/words.group.2952"]); gap> Append(GROUPS,[P147]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^3(9)^1(18)^2/group.2953"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 36 ) gap> P148 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^2(3)^3(9)^1(18)^2/words.group.2953"]); gap> Append(GROUPS,[P148]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^4(6)^1(18)^1/group.2954"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 36 ) gap> P149 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^2(3)^4(6)^1(18)^1/words.group.2954"]); gap> Append(GROUPS,[P149]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^4(6)^1(18)^1/group.2955"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 36 ) gap> P150 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^2(3)^4(6)^1(18)^1/words.group.2955"]); gap> Append(GROUPS,[P150]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^4(6)^1(18)^1/group.2956"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 36 ) gap> P151 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^2(3)^4(6)^1(18)^1/words.group.2956"]); gap> Append(GROUPS,[P151]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^4(6)^1(18)^1/group.2957"); rec( generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 36 ) gap> P152 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^2(3)^4(6)^1(18)^1/words.group.2957"]); gap> Append(GROUPS,[P152]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^4(6)^1(18)^1/group.2958"); rec( generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 36 ) gap> P153 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^2(3)^4(6)^1(18)^1/words.group.2958"]); gap> Append(GROUPS,[P153]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^4(6)^1(18)^1/group.2959"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 36 ) gap> P154 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^2(3)^4(6)^1(18)^1/words.group.2959"]); gap> Append(GROUPS,[P154]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^4(6)^1(18)^1/group.2960"); rec( generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 36 ) gap> P155 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^2(3)^4(6)^1(18)^1/words.group.2960"]); gap> Append(GROUPS,[P155]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^4(6)^1(18)^1/group.2961"); rec( generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 36 ) gap> P156 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^2(3)^4(6)^1(18)^1/words.group.2961"]); gap> Append(GROUPS,[P156]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^6(18)^2/group.2962"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 36 ) gap> P157 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^2(3)^6(18)^2/words.group.2962"]); gap> Append(GROUPS,[P157]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^6(18)^2/group.2963"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 36 ) gap> P158 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^2(3)^6(18)^2/words.group.2963"]); gap> Append(GROUPS,[P158]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^6(18)^2/group.2964"); rec( generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 36 ) gap> P159 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^2(3)^6(18)^2/words.group.2964"]); gap> Append(GROUPS,[P159]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^6(18)^2/group.2965"); rec( generators := [ [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 36 ) gap> P160 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^2(3)^6(18)^2/words.group.2965"]); gap> Append(GROUPS,[P160]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^6(18)^2/group.2966"); rec( generators := [ [ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 36 ) gap> P161 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^2(3)^6(18)^2/words.group.2966"]); gap> Append(GROUPS,[P161]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^6(18)^2/group.2967"); rec( generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 36 ) gap> P162 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^2(3)^6(18)^2/words.group.2967"]); gap> Append(GROUPS,[P162]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^6(18)^2/group.2968"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 36 ) gap> P163 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^2(3)^6(18)^2/words.group.2968"]); gap> Append(GROUPS,[P163]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^6(18)^2/group.2969"); rec( generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 36 ) gap> P164 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^2(3)^6(18)^2/words.group.2969"]); gap> Append(GROUPS,[P164]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^1(6)^1(18)^1/group.2970"); rec( generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 36 ) gap> P165 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^3(3)^1(6)^1(18)^1/words.group.2970"]); gap> Append(GROUPS,[P165]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^1(6)^1(18)^1/group.2971"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 36 ) gap> P166 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^3(3)^1(6)^1(18)^1/words.group.2971"]); gap> Append(GROUPS,[P166]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^1(6)^1(18)^1/group.2972"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 36 ) gap> P167 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^3(3)^1(6)^1(18)^1/words.group.2972"]); gap> Append(GROUPS,[P167]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^3(18)^2/group.2973"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 36 ) gap> P168 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^3(3)^3(18)^2/words.group.2973"]); gap> Append(GROUPS,[P168]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^3(18)^2/group.2974"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 36 ) gap> P169 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^3(3)^3(18)^2/words.group.2974"]); gap> Append(GROUPS,[P169]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^3(18)^2/group.2975"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 36 ) gap> P170 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^3(3)^3(18)^2/words.group.2975"]); gap> Append(GROUPS,[P170]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^3(18)^2/group.2976"); rec( generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 36 ) gap> P171 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^3(3)^3(18)^2/words.group.2976"]); gap> Append(GROUPS,[P171]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^3(18)^2/group.2977"); rec( generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 36 ) gap> P172 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^3(3)^3(18)^2/words.group.2977"]); gap> Append(GROUPS,[P172]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^3(18)^2/group.2978"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 36 ) gap> P173 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^3(3)^3(18)^2/words.group.2978"]); gap> Append(GROUPS,[P173]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^3(18)^2/group.2979"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 36 ) gap> P174 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^3(3)^3(18)^2/words.group.2979"]); gap> Append(GROUPS,[P174]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^3(6)^2/group.2980"); rec( generators := [ [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 36 ) gap> P175 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^3(3)^3(6)^2/words.group.2980"]); gap> Append(GROUPS,[P175]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^3(6)^2/group.2981"); rec( generators := [ [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 36 ) gap> P176 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^3(3)^3(6)^2/words.group.2981"]); gap> Append(GROUPS,[P176]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^3(6)^2/group.2982"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 36 ) gap> P177 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^3(3)^3(6)^2/words.group.2982"]); gap> Append(GROUPS,[P177]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^3(6)^2/group.2983"); rec( generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 36 ) gap> P178 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^3(3)^3(6)^2/words.group.2983"]); gap> Append(GROUPS,[P178]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^3(6)^2/group.2984"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 36 ) gap> P179 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^3(3)^3(6)^2/words.group.2984"]); gap> Append(GROUPS,[P179]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^3(6)^2/group.2985"); rec( generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ] , size := 36 ) gap> P180 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^3(3)^3(6)^2/words.group.2985"]); gap> Append(GROUPS,[P180]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^4(9)^1(18)^2/group.2986"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 36 ) gap> P181 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^3(3)^4(9)^1(18)^2/words.group.2986"]); gap> Append(GROUPS,[P181]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^4(9)^1(18)^2/group.2987"); rec( generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 36 ) gap> P182 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^3(3)^4(9)^1(18)^2/words.group.2987"]); gap> Append(GROUPS,[P182]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^4(9)^1(18)^2/group.2988"); rec( generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 36 ) gap> P183 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^3(3)^4(9)^1(18)^2/words.group.2988"]); gap> Append(GROUPS,[P183]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^5(6)^1(18)^1/group.2989"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 36 ) gap> P184 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^3(3)^5(6)^1(18)^1/words.group.2989"]); gap> Append(GROUPS,[P184]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^5(6)^1(18)^1/group.2990"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 36 ) gap> P185 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^3(3)^5(6)^1(18)^1/words.group.2990"]); gap> Append(GROUPS,[P185]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^5(6)^1(18)^1/group.2991"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 36 ) gap> P186 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^3(3)^5(6)^1(18)^1/words.group.2991"]); gap> Append(GROUPS,[P186]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^4(3)^2(6)^1(18)^1/group.2992"); rec( generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 36 ) gap> P187 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^4(3)^2(6)^1(18)^1/words.group.2992"]); gap> Append(GROUPS,[P187]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^4(3)^2(6)^1(18)^1/group.2993"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 36 ) gap> P188 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^4(3)^2(6)^1(18)^1/words.group.2993"]); gap> Append(GROUPS,[P188]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^4(3)^2(6)^1(18)^1/group.2994"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 36 ) gap> P189 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^4(3)^2(6)^1(18)^1/words.group.2994"]); gap> Append(GROUPS,[P189]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^4(3)^2(6)^1(18)^1/group.2995"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 36 ) gap> P190 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^4(3)^2(6)^1(18)^1/words.group.2995"]); gap> Append(GROUPS,[P190]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^4(3)^4(18)^2/group.2996"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ] , size := 36 ) gap> P191 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^4(3)^4(18)^2/words.group.2996"]); gap> Append(GROUPS,[P191]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^4(3)^4(18)^2/group.2997"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 36 ) gap> P192 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^4(3)^4(18)^2/words.group.2997"]); gap> Append(GROUPS,[P192]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^4(3)^4(18)^2/group.2998"); rec( generators := [ [ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 36 ) gap> P193 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^4(3)^4(18)^2/words.group.2998"]); gap> Append(GROUPS,[P193]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^4(3)^4(18)^2/group.2999"); rec( generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 36 ) gap> P194 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^4(3)^4(18)^2/words.group.2999"]); gap> Append(GROUPS,[P194]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^4(3)^4(18)^2/group.3000"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 36 ) gap> P195 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^4(3)^4(18)^2/words.group.3000"]); gap> Append(GROUPS,[P195]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^4(3)^4(18)^2/group.3001"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 36 ) gap> P196 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^4(3)^4(18)^2/words.group.3001"]); gap> Append(GROUPS,[P196]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^4(3)^4(18)^2/group.3002"); rec( generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 36 ) gap> P197 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^4(3)^4(18)^2/words.group.3002"]); gap> Append(GROUPS,[P197]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^4(3)^4(18)^2/group.3003"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 36 ) gap> P198 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^4(3)^4(18)^2/words.group.3003"]); gap> Append(GROUPS,[P198]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^4(3)^4(18)^2/group.3004"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 36 ) gap> P199 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^4(3)^4(18)^2/words.group.3004"]); gap> Append(GROUPS,[P199]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^4(3)^4(18)^2/group.3005"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 36 ) gap> P200 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^4(3)^4(18)^2/words.group.3005"]); gap> Append(GROUPS,[P200]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^4(6)^2/group.3006"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 36 ) gap> P201 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^4(6)^2/words.group.3006"]); gap> Append(GROUPS,[P201]); gap> R := CaratReadBravaisFile("ordnung.36/(1)^4(6)^2/group.3007"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 36 ) gap> P202 := Group(R.generators); gap> Append(names,["ordnung.36/(1)^4(6)^2/words.group.3007"]); gap> Append(GROUPS,[P202]); gap> R := CaratReadBravaisFile("ordnung.36/(3)^4(6)^2/group.3008"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 36 ) gap> P203 := Group(R.generators); gap> Append(names,["ordnung.36/(3)^4(6)^2/words.group.3008"]); gap> Append(GROUPS,[P203]); gap> R := CaratReadBravaisFile("ordnung.36/(3)^8(18)^2/group.3009"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 36 ) gap> P204 := Group(R.generators); gap> Append(names,["ordnung.36/(3)^8(18)^2/words.group.3009"]); gap> Append(GROUPS,[P204]); gap> R := CaratReadBravaisFile("ordnung.48/(2)^4(6)^2/group.3010"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 48 ) gap> P205 := Group(R.generators); gap> Append(names,["ordnung.48/(2)^4(6)^2/words.group.3010"]); gap> Append(GROUPS,[P205]); gap> R := CaratReadBravaisFile("ordnung.48/(2)^5(6)^4(18)^1/group.3011"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 48 ) gap> P206 := Group(R.generators); gap> Append(names,["ordnung.48/(2)^5(6)^4(18)^1/words.group.3011"]); gap> Append(GROUPS,[P206]); gap> R := CaratReadBravaisFile("ordnung.48/(2)^6(6)^4/group.3012"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ] , size := 48 ) gap> P207 := Group(R.generators); gap> Append(names,["ordnung.48/(2)^6(6)^4/words.group.3012"]); gap> Append(GROUPS,[P207]); gap> R := CaratReadBravaisFile("ordnung.48/(2)^6(6)^4/group.3013"); rec( generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 48 ) gap> P208 := Group(R.generators); gap> Append(names,["ordnung.48/(2)^6(6)^4/words.group.3013"]); gap> Append(GROUPS,[P208]); gap> R := CaratReadBravaisFile("ordnung.48/(2)^6(6)^4/group.3014"); rec( generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 48 ) gap> P209 := Group(R.generators); gap> Append(names,["ordnung.48/(2)^6(6)^4/words.group.3014"]); gap> Append(GROUPS,[P209]); gap> R := CaratReadBravaisFile("ordnung.48/(2)^6(6)^4/group.3015"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 48 ) gap> P210 := Group(R.generators); gap> Append(names,["ordnung.48/(2)^6(6)^4/words.group.3015"]); gap> Append(GROUPS,[P210]); gap> R := CaratReadBravaisFile("ordnung.48/(2)^6(6)^4/group.3016"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 48 ) gap> P211 := Group(R.generators); gap> Append(names,["ordnung.48/(2)^6(6)^4/words.group.3016"]); gap> Append(GROUPS,[P211]); gap> R := CaratReadBravaisFile("ordnung.48/(2)^6(6)^4/group.3017"); rec( generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 48 ) gap> P212 := Group(R.generators); gap> Append(names,["ordnung.48/(2)^6(6)^4/words.group.3017"]); gap> Append(GROUPS,[P212]); gap> R := CaratReadBravaisFile("ordnung.48/(2)^6(6)^4/group.3018"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 48 ) gap> P213 := Group(R.generators); gap> Append(names,["ordnung.48/(2)^6(6)^4/words.group.3018"]); gap> Append(GROUPS,[P213]); gap> R := CaratReadBravaisFile("ordnung.576/(1)^6(3)^2(6)^2/group.3019"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 576 ) gap> P214 := Group(R.generators); gap> Append(names,["ordnung.576/(1)^6(3)^2(6)^2/words.group.3019"]); gap> Append(GROUPS,[P214]); gap> R := CaratReadBravaisFile("ordnung.6/(6)^6/min.413"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ -1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 6 ) gap> P215 := Group(R.generators); gap> Append(names,["ordnung.6/(6)^6/words.min.413"]); gap> Append(GROUPS,[P215]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^2(3)^2(6)^2/group.3020"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P216 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^2(3)^2(6)^2/words.group.3020"]); gap> Append(GROUPS,[P216]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^2(3)^4(6)^1(18)^1/group.3021"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] , [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P217 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^2(3)^4(6)^1(18)^1/words.group.3021"]); gap> Append(GROUPS,[P217]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^2(3)^4(6)^1(18)^1/group.3022"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P218 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^2(3)^4(6)^1(18)^1/words.group.3022"]); gap> Append(GROUPS,[P218]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^2(3)^6(18)^2/group.3023"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P219 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^2(3)^6(18)^2/words.group.3023"]); gap> Append(GROUPS,[P219]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^2(3)^6(18)^2/group.3024"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] , [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P220 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^2(3)^6(18)^2/words.group.3024"]); gap> Append(GROUPS,[P220]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^1(6)^1(18)^1/group.3025"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P221 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^3(3)^1(6)^1(18)^1/words.group.3025"]); gap> Append(GROUPS,[P221]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^3(18)^2/group.3026"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] , [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P222 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^3(3)^3(18)^2/words.group.3026"]); gap> Append(GROUPS,[P222]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^3(18)^2/group.3027"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P223 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^3(3)^3(18)^2/words.group.3027"]); gap> Append(GROUPS,[P223]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^3(6)^2/group.3028"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P224 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^3(3)^3(6)^2/words.group.3028"]); gap> Append(GROUPS,[P224]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^3(6)^2/group.3029"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P225 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^3(3)^3(6)^2/words.group.3029"]); gap> Append(GROUPS,[P225]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^3(6)^2/group.3030"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P226 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^3(3)^3(6)^2/words.group.3030"]); gap> Append(GROUPS,[P226]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^3(6)^2/group.3031"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P227 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^3(3)^3(6)^2/words.group.3031"]); gap> Append(GROUPS,[P227]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^3(6)^2/group.3032"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P228 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^3(3)^3(6)^2/words.group.3032"]); gap> Append(GROUPS,[P228]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^3(6)^2/group.3033"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P229 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^3(3)^3(6)^2/words.group.3033"]); gap> Append(GROUPS,[P229]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^3(6)^2/group.3034"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P230 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^3(3)^3(6)^2/words.group.3034"]); gap> Append(GROUPS,[P230]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^3(6)^2/group.3035"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P231 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^3(3)^3(6)^2/words.group.3035"]); gap> Append(GROUPS,[P231]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^3(6)^2/group.3036"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P232 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^3(3)^3(6)^2/words.group.3036"]); gap> Append(GROUPS,[P232]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^3(6)^2/group.3037"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ] , size := 72 ) gap> P233 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^3(3)^3(6)^2/words.group.3037"]); gap> Append(GROUPS,[P233]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^3(6)^2/group.3038"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P234 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^3(3)^3(6)^2/words.group.3038"]); gap> Append(GROUPS,[P234]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^3(6)^2/group.3039"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P235 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^3(3)^3(6)^2/words.group.3039"]); gap> Append(GROUPS,[P235]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^3(6)^2/group.3040"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P236 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^3(3)^3(6)^2/words.group.3040"]); gap> Append(GROUPS,[P236]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^3(6)^2/group.3041"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P237 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^3(3)^3(6)^2/words.group.3041"]); gap> Append(GROUPS,[P237]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^4(9)^1(18)^2/group.3042"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P238 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^3(3)^4(9)^1(18)^2/words.group.3042"]); gap> Append(GROUPS,[P238]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^5(6)^1(18)^1/group.3043"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ] , size := 72 ) gap> P239 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^3(3)^5(6)^1(18)^1/words.group.3043"]); gap> Append(GROUPS,[P239]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^5(6)^1(18)^1/group.3044"); rec( generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P240 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^3(3)^5(6)^1(18)^1/words.group.3044"]); gap> Append(GROUPS,[P240]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^5(6)^1(18)^1/group.3045"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ] , size := 72 ) gap> P241 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^3(3)^5(6)^1(18)^1/words.group.3045"]); gap> Append(GROUPS,[P241]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^5(6)^1(18)^1/group.3046"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P242 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^3(3)^5(6)^1(18)^1/words.group.3046"]); gap> Append(GROUPS,[P242]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^5(6)^1(18)^1/group.3047"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] , [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P243 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^3(3)^5(6)^1(18)^1/words.group.3047"]); gap> Append(GROUPS,[P243]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^5(6)^1(18)^1/group.3048"); rec( generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P244 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^3(3)^5(6)^1(18)^1/words.group.3048"]); gap> Append(GROUPS,[P244]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^5(6)^1(18)^1/group.3049"); rec( generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P245 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^3(3)^5(6)^1(18)^1/words.group.3049"]); gap> Append(GROUPS,[P245]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^2(6)^1(18)^1/group.3050"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P246 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^4(3)^2(6)^1(18)^1/words.group.3050"]); gap> Append(GROUPS,[P246]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^2(6)^1(18)^1/group.3051"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P247 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^4(3)^2(6)^1(18)^1/words.group.3051"]); gap> Append(GROUPS,[P247]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^2(6)^1(18)^1/group.3052"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P248 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^4(3)^2(6)^1(18)^1/words.group.3052"]); gap> Append(GROUPS,[P248]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^2(6)^1(18)^1/group.3053"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P249 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^4(3)^2(6)^1(18)^1/words.group.3053"]); gap> Append(GROUPS,[P249]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^2(6)^1(18)^1/group.3054"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P250 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^4(3)^2(6)^1(18)^1/words.group.3054"]); gap> Append(GROUPS,[P250]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^2(6)^1(18)^1/group.3055"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P251 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^4(3)^2(6)^1(18)^1/words.group.3055"]); gap> Append(GROUPS,[P251]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^2(6)^1(18)^1/group.3056"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P252 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^4(3)^2(6)^1(18)^1/words.group.3056"]); gap> Append(GROUPS,[P252]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^2(6)^1(18)^1/group.3057"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P253 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^4(3)^2(6)^1(18)^1/words.group.3057"]); gap> Append(GROUPS,[P253]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^2(6)^1(18)^1/group.3058"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P254 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^4(3)^2(6)^1(18)^1/words.group.3058"]); gap> Append(GROUPS,[P254]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3059"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P255 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3059"]); gap> Append(GROUPS,[P255]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3060"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P256 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3060"]); gap> Append(GROUPS,[P256]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3061"); rec( generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P257 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3061"]); gap> Append(GROUPS,[P257]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3062"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P258 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3062"]); gap> Append(GROUPS,[P258]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3063"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P259 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3063"]); gap> Append(GROUPS,[P259]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3064"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P260 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3064"]); gap> Append(GROUPS,[P260]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3065"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P261 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3065"]); gap> Append(GROUPS,[P261]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3066"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] , [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P262 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3066"]); gap> Append(GROUPS,[P262]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3067"); rec( generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] , [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ] , size := 72 ) gap> P263 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3067"]); gap> Append(GROUPS,[P263]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3068"); rec( generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P264 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3068"]); gap> Append(GROUPS,[P264]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3069"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P265 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3069"]); gap> Append(GROUPS,[P265]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3070"); rec( generators := [ [ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P266 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3070"]); gap> Append(GROUPS,[P266]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3071"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P267 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3071"]); gap> Append(GROUPS,[P267]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3072"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P268 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3072"]); gap> Append(GROUPS,[P268]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3073"); rec( generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P269 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3073"]); gap> Append(GROUPS,[P269]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3074"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] , [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P270 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3074"]); gap> Append(GROUPS,[P270]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3075"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] , [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P271 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3075"]); gap> Append(GROUPS,[P271]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3076"); rec( generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P272 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3076"]); gap> Append(GROUPS,[P272]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3077"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P273 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3077"]); gap> Append(GROUPS,[P273]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3078"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P274 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3078"]); gap> Append(GROUPS,[P274]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3079"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P275 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3079"]); gap> Append(GROUPS,[P275]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3080"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P276 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3080"]); gap> Append(GROUPS,[P276]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3081"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P277 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3081"]); gap> Append(GROUPS,[P277]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3082"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] , [ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P278 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3082"]); gap> Append(GROUPS,[P278]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(6)^2/group.3083"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P279 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^4(6)^2/words.group.3083"]); gap> Append(GROUPS,[P279]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(6)^2/group.3084"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P280 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^4(6)^2/words.group.3084"]); gap> Append(GROUPS,[P280]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(6)^2/group.3085"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P281 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^4(6)^2/words.group.3085"]); gap> Append(GROUPS,[P281]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(6)^2/group.3086"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P282 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^4(6)^2/words.group.3086"]); gap> Append(GROUPS,[P282]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^4(6)^2/group.3087"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P283 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^4(6)^2/words.group.3087"]); gap> Append(GROUPS,[P283]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^1(6)^2/group.3088"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P284 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^1(6)^2/words.group.3088"]); gap> Append(GROUPS,[P284]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^1(6)^2/group.3089"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P285 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^1(6)^2/words.group.3089"]); gap> Append(GROUPS,[P285]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^1(6)^2/group.3090"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P286 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^1(6)^2/words.group.3090"]); gap> Append(GROUPS,[P286]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^1(6)^2/group.3091"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P287 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^1(6)^2/words.group.3091"]); gap> Append(GROUPS,[P287]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^1(6)^2/group.3092"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P288 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^1(6)^2/words.group.3092"]); gap> Append(GROUPS,[P288]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^1(6)^2/group.3093"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ] , size := 72 ) gap> P289 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^1(6)^2/words.group.3093"]); gap> Append(GROUPS,[P289]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^1(6)^2/group.3094"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P290 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^1(6)^2/words.group.3094"]); gap> Append(GROUPS,[P290]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^1(6)^2/group.3095"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P291 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^1(6)^2/words.group.3095"]); gap> Append(GROUPS,[P291]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^1(6)^2/group.3096"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P292 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^1(6)^2/words.group.3096"]); gap> Append(GROUPS,[P292]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^1(6)^2/group.3097"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P293 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^1(6)^2/words.group.3097"]); gap> Append(GROUPS,[P293]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^1(6)^2/group.3098"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P294 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^1(6)^2/words.group.3098"]); gap> Append(GROUPS,[P294]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^1(6)^2/group.3099"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P295 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^1(6)^2/words.group.3099"]); gap> Append(GROUPS,[P295]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^1(6)^2/group.3100"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P296 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^1(6)^2/words.group.3100"]); gap> Append(GROUPS,[P296]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^1(6)^2/group.3101"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P297 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^1(6)^2/words.group.3101"]); gap> Append(GROUPS,[P297]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^1(6)^2/group.3102"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P298 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^1(6)^2/words.group.3102"]); gap> Append(GROUPS,[P298]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^1(6)^2/group.3103"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P299 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^1(6)^2/words.group.3103"]); gap> Append(GROUPS,[P299]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^1(6)^2/group.3104"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P300 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^1(6)^2/words.group.3104"]); gap> Append(GROUPS,[P300]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3105"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] , [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P301 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3105"]); gap> Append(GROUPS,[P301]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3106"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P302 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3106"]); gap> Append(GROUPS,[P302]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3107"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P303 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3107"]); gap> Append(GROUPS,[P303]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3108"); rec( generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P304 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3108"]); gap> Append(GROUPS,[P304]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3109"); rec( generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ] , size := 72 ) gap> P305 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3109"]); gap> Append(GROUPS,[P305]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3110"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P306 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3110"]); gap> Append(GROUPS,[P306]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3111"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] , [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P307 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3111"]); gap> Append(GROUPS,[P307]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3112"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P308 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3112"]); gap> Append(GROUPS,[P308]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3113"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] , [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P309 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3113"]); gap> Append(GROUPS,[P309]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3114"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P310 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3114"]); gap> Append(GROUPS,[P310]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3115"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P311 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3115"]); gap> Append(GROUPS,[P311]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3116"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P312 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3116"]); gap> Append(GROUPS,[P312]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3117"); rec( generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P313 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3117"]); gap> Append(GROUPS,[P313]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3118"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P314 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3118"]); gap> Append(GROUPS,[P314]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3119"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P315 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3119"]); gap> Append(GROUPS,[P315]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3120"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P316 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3120"]); gap> Append(GROUPS,[P316]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3121"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P317 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3121"]); gap> Append(GROUPS,[P317]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3122"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P318 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3122"]); gap> Append(GROUPS,[P318]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3123"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] , [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P319 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3123"]); gap> Append(GROUPS,[P319]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3124"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P320 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3124"]); gap> Append(GROUPS,[P320]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3125"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P321 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3125"]); gap> Append(GROUPS,[P321]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3126"); rec( generators := [ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ] , size := 72 ) gap> P322 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3126"]); gap> Append(GROUPS,[P322]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3127"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ] , size := 72 ) gap> P323 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3127"]); gap> Append(GROUPS,[P323]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3128"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P324 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3128"]); gap> Append(GROUPS,[P324]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3129"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P325 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3129"]); gap> Append(GROUPS,[P325]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3130"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P326 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3130"]); gap> Append(GROUPS,[P326]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3131"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P327 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3131"]); gap> Append(GROUPS,[P327]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3132"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P328 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3132"]); gap> Append(GROUPS,[P328]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3133"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P329 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3133"]); gap> Append(GROUPS,[P329]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3134"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P330 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3134"]); gap> Append(GROUPS,[P330]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3135"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P331 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3135"]); gap> Append(GROUPS,[P331]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3136"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P332 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3136"]); gap> Append(GROUPS,[P332]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3137"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P333 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3137"]); gap> Append(GROUPS,[P333]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3138"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P334 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3138"]); gap> Append(GROUPS,[P334]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3139"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P335 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3139"]); gap> Append(GROUPS,[P335]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3140"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P336 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3140"]); gap> Append(GROUPS,[P336]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3141"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ] , size := 72 ) gap> P337 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3141"]); gap> Append(GROUPS,[P337]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3142"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P338 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3142"]); gap> Append(GROUPS,[P338]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3143"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P339 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3143"]); gap> Append(GROUPS,[P339]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3144"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P340 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3144"]); gap> Append(GROUPS,[P340]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3145"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P341 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3145"]); gap> Append(GROUPS,[P341]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3146"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P342 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3146"]); gap> Append(GROUPS,[P342]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3147"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P343 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3147"]); gap> Append(GROUPS,[P343]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^6(3)^2(6)^2/group.3148"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P344 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^6(3)^2(6)^2/words.group.3148"]); gap> Append(GROUPS,[P344]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^6(3)^2(6)^2/group.3149"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P345 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^6(3)^2(6)^2/words.group.3149"]); gap> Append(GROUPS,[P345]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^6(3)^2(6)^2/group.3150"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P346 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^6(3)^2(6)^2/words.group.3150"]); gap> Append(GROUPS,[P346]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^6(3)^2(6)^2/group.3151"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P347 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^6(3)^2(6)^2/words.group.3151"]); gap> Append(GROUPS,[P347]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^6(3)^2(6)^2/group.3152"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P348 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^6(3)^2(6)^2/words.group.3152"]); gap> Append(GROUPS,[P348]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^6(3)^2(6)^2/group.3153"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P349 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^6(3)^2(6)^2/words.group.3153"]); gap> Append(GROUPS,[P349]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^6(3)^2(6)^2/group.3154"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] , [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P350 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^6(3)^2(6)^2/words.group.3154"]); gap> Append(GROUPS,[P350]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^6(3)^2(6)^2/group.3155"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P351 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^6(3)^2(6)^2/words.group.3155"]); gap> Append(GROUPS,[P351]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^6(3)^2(6)^2/group.3156"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P352 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^6(3)^2(6)^2/words.group.3156"]); gap> Append(GROUPS,[P352]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^6(3)^2(6)^2/group.3157"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P353 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^6(3)^2(6)^2/words.group.3157"]); gap> Append(GROUPS,[P353]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^6(3)^2(6)^2/group.3158"); rec( generators := [ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P354 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^6(3)^2(6)^2/words.group.3158"]); gap> Append(GROUPS,[P354]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^6(3)^2(6)^2/group.3159"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P355 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^6(3)^2(6)^2/words.group.3159"]); gap> Append(GROUPS,[P355]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^6(3)^2(6)^2/group.3160"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ], size := 72 ) gap> P356 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^6(3)^2(6)^2/words.group.3160"]); gap> Append(GROUPS,[P356]); gap> R := CaratReadBravaisFile("ordnung.72/(1)^6(3)^2(6)^2/group.3161"); rec( generators := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ], size := 72 ) gap> P357 := Group(R.generators); gap> Append(names,["ordnung.72/(1)^6(3)^2(6)^2/words.group.3161"]); gap> Append(GROUPS,[P357]); gap> R := CaratReadBravaisFile("ordnung.96/(2)^6(6)^4/group.3162"); rec( generators := [ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ] , size := 96 ) gap> P358 := Group(R.generators); gap> Append(names,["ordnung.96/(2)^6(6)^4/words.group.3162"]); gap> Append(GROUPS,[P358]); gap> Print(GROUPS,"\n"); [ Group( [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]), Group([ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 1, -1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]), Group([ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] , [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]), Group([ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, -1, 0, 0, 0, 0 ], [ 1, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ]), Group([ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ]), Group([ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] , [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ]), 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, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]), Group([ [ [ -1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ] , [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]), Group([ [ [ 0, -1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 1, 0, 0 ] , [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 1, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ] ]), Group([ [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, -1, 0, 0 ] , [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ -1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]), Group([ [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, -1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, -1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ] ]), Group([ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 1, 0, 0, 0, 0 ], [ -1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ -1, 0, 0, 0, 0, 0 ], [ 0, -1, 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"ordnung.72/(1)^4(3)^4(18)^2/words.group.3079", "ordnung.72/(1)^4(3)^4(18)^2/words.group.3080", "ordnung.72/(1)^4(3)^4(18)^2/words.group.3081", "ordnung.72/(1)^4(3)^4(18)^2/words.group.3082", "ordnung.72/(1)^4(6)^2/words.group.3083", "ordnung.72/(1)^4(6)^2/words.group.3084", "ordnung.72/(1)^4(6)^2/words.group.3085", "ordnung.72/(1)^4(6)^2/words.group.3086", "ordnung.72/(1)^4(6)^2/words.group.3087", "ordnung.72/(1)^5(3)^1(6)^2/words.group.3088", "ordnung.72/(1)^5(3)^1(6)^2/words.group.3089", "ordnung.72/(1)^5(3)^1(6)^2/words.group.3090", "ordnung.72/(1)^5(3)^1(6)^2/words.group.3091", "ordnung.72/(1)^5(3)^1(6)^2/words.group.3092", "ordnung.72/(1)^5(3)^1(6)^2/words.group.3093", "ordnung.72/(1)^5(3)^1(6)^2/words.group.3094", "ordnung.72/(1)^5(3)^1(6)^2/words.group.3095", "ordnung.72/(1)^5(3)^1(6)^2/words.group.3096", "ordnung.72/(1)^5(3)^1(6)^2/words.group.3097", "ordnung.72/(1)^5(3)^1(6)^2/words.group.3098", "ordnung.72/(1)^5(3)^1(6)^2/words.group.3099", "ordnung.72/(1)^5(3)^1(6)^2/words.group.3100", "ordnung.72/(1)^5(3)^1(6)^2/words.group.3101", "ordnung.72/(1)^5(3)^1(6)^2/words.group.3102", "ordnung.72/(1)^5(3)^1(6)^2/words.group.3103", "ordnung.72/(1)^5(3)^1(6)^2/words.group.3104", "ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3105", "ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3106", "ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3107", "ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3108", "ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3109", "ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3110", "ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3111", "ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3112", "ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3113", "ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3114", "ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3115", "ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3116", "ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3117", "ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3118", "ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3119", "ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3120", "ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3121", "ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3122", "ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3123", "ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3124", "ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3125", "ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3126", "ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3127", "ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3128", "ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3129", "ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3130", "ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3131", "ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3132", "ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3133", "ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3134", "ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3135", "ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3136", "ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3137", "ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3138", "ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3139", "ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3140", "ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3141", "ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3142", "ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3143", "ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3144", "ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3145", "ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3146", "ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3147", "ordnung.72/(1)^6(3)^2(6)^2/words.group.3148", "ordnung.72/(1)^6(3)^2(6)^2/words.group.3149", "ordnung.72/(1)^6(3)^2(6)^2/words.group.3150", "ordnung.72/(1)^6(3)^2(6)^2/words.group.3151", "ordnung.72/(1)^6(3)^2(6)^2/words.group.3152", "ordnung.72/(1)^6(3)^2(6)^2/words.group.3153", "ordnung.72/(1)^6(3)^2(6)^2/words.group.3154", "ordnung.72/(1)^6(3)^2(6)^2/words.group.3155", "ordnung.72/(1)^6(3)^2(6)^2/words.group.3156", "ordnung.72/(1)^6(3)^2(6)^2/words.group.3157", "ordnung.72/(1)^6(3)^2(6)^2/words.group.3158", "ordnung.72/(1)^6(3)^2(6)^2/words.group.3159", "ordnung.72/(1)^6(3)^2(6)^2/words.group.3160", "ordnung.72/(1)^6(3)^2(6)^2/words.group.3161", "ordnung.96/(2)^6(6)^4/words.group.3162" ] gap> Size(GROUPS); 358 gap> Size(names); 358 gap> Read("../../TGROUPS.GAP"); gap> for i in [1..Size(GROUPS)] do > SubgroupWords(GROUPS[i], names[i]); > od; [ x2^3, x2^4 ] [ x1, x2^4 ] [ x1*x2^3, x2^4 ] [ x2^3, x1 ] [ x2^3, x2^2 ] [ x1, x2^2 ] [ x1*x2^3, x2^2 ] [ x2^3, x1 ] [ x2^3, x2^2 ] [ x1, x2^2 ] [ x1*x2^3, x2^2 ] [ x2^3, x1 ] [ x2^3, x2^4 ] [ x1, x2^4 ] [ x1*x2^3, x2^4 ] [ x2^3, x1 ] [ x1*x2^3, x2^2 ] [ x1, x2^2 ] [ x2^3, x2^2 ] [ x1*x2^3, x1 ] [ x2^3, x2^4 ] [ x1, x2^4 ] [ x1*x2^3, x2^4 ] [ x2^3, x1 ] [ x2^3, x2^2 ] [ x1, x2^2 ] [ x1*x2^3, x2^2 ] [ x2^3, x1 ] [ x2^3, x2^2 ] [ x2^2*x1, x2^2 ] [ x1*x2, x2^2 ] [ x2^3, x2^2*x1 ] [ x2^3, x2^2 ] [ x1, x2^2 ] [ x1*x2^3, x2^2 ] [ x2^3, x1 ] [ x1*x2^3, x2^2 ] [ x1, x2^2 ] [ x2^3, x2^2 ] [ x1*x2^3, x1 ] [ x2^3, x2^4 ] [ x1, x2^4 ] [ x1*x2^3, x2^4 ] [ x2^3, x1 ] [ x1*x4^3, x2*x3^3*x4^2, x1, x3^4, x4^2 ] [ x1*x4^3, x2*x3^3*x4^2, x2, x3^4, x4^2 ] [ x1*x4^3, x2*x3^3*x4^2, x1*x2, x3^4, x4^2 ] [ x1*x4^3, x1, x2, x3^4, x4^2 ] [ x1*x4^3, x3^3*x4^2, x1, x3^4, x4^2 ] [ x1*x4^3, x1*x2*x3^3*x4^2, x2, x3^4, x4^2 ] [ x1*x4^3, x3^3*x4^2, x1*x2, x3^4, x4^2 ] [ x2*x3^3*x4^2, x1, x2, x3^4, x4^2 ] [ x1*x2*x4^3, x2*x3^3*x4^2, x1, x3^4, x4^2 ] [ x4^3, x2*x3^3*x4^2, x2, x3^4, x4^2 ] [ x1*x2*x4^3, x2*x3^3*x4^2, x1*x2, x3^4, x4^2 ] [ x1*x2*x3^2*x4*x3, x1, x2, x3^4, x4^2 ] [ x1*x2*x4^3, x3^3*x4^2, x1, x3^4, x4^2 ] [ x4^3, x1*x2*x3^3*x4^2, x2, x3^4, x4^2 ] [ x1*x2*x4^3, x3^3*x4^2, x1*x2, x3^4, x4^2 ] [ x1*x4^3, x2*x3^3*x4^2, x1, x2, x4^2 ] [ x1*x4^3, x2*x3^3*x4^2, x1, x2, x3^4 ] [ x4^3, x3, x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x4^3, x3, x4*x1*x4^5, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x4^3, x3, x2*x4*x1*x4^5, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x4^3, x2, x4*x1*x4^5, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x4^3, x3*x4*x1*x4^5, x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x4^3, x2*x3, x4*x1*x4^5, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x4^3, x3*x4*x1*x4^5, x2*x4*x1*x4^5, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x3, x2, x4*x1*x4^5, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x4*x1*x4^2, x3, x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x2*x4^3, x3, x4*x1*x4^5, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x4*x1*x4^2, x3, x2*x4*x1*x4^5, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x3*x4^3, x2, x4*x1*x4^5, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x4*x1*x4^2, x3*x4*x1*x4^5, x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x2*x4^3, x2*x3, x4*x1*x4^5, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x4*x1*x4^2, x3*x4*x1*x4^5, x2*x4*x1*x4^5, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x4^3, x3, x2, x4*x1*x4^5, x1*x4^2*x1*x4^4 ] [ x4^3, x3, x2, x4*x1*x4^5, x1*x4^2*x1*x4^2 ] [ x4^3, x1*x2*x3^2*x4^2*x3, x3^2*x1, x3^2*x4^2, x1*x3^2*x1 ] [ x4^3, x1*x2*x3^2*x4^2*x3, x2*x3^2*x1, x3^2*x4^2, x1*x3^2*x1 ] [ x4^3, x1*x2*x3^2*x4^2*x3, x2, x3^2*x4^2, x1*x3^2*x1 ] [ x4^3, x3^2*x1, x2*x3^2*x1, x3^2*x4^2, x1*x3^2*x1 ] [ x4^3, x1*x3^2*x1*x4^2*x3, x3^2*x1, x3^2*x4^2, x1*x3^2*x1 ] [ x4^3, x1*x2*x3^2*x1*x4^2*x3, x2*x3^2*x1, x3^2*x4^2, x1*x3^2*x1 ] [ x4^3, x1*x3^2*x1*x4^2*x3, x2, x3^2*x4^2, x1*x3^2*x1 ] [ x1*x2*x3^2*x4^2*x3, x3^2*x1, x2*x3^2*x1, x3^2*x4^2, x1*x3^2*x1 ] [ x2*x3^2*x1*x4^3, x1*x2*x3^2*x4^2*x3, x3^2*x1, x3^2*x4^2, x1*x3^2*x1 ] [ x3^2*x1*x4^3, x1*x2*x3^2*x4^2*x3, x2*x3^2*x1, x3^2*x4^2, x1*x3^2*x1 ] [ x2*x3^2*x1*x4^3, x1*x2*x3^2*x4^2*x3, x2, x3^2*x4^2, x1*x3^2*x1 ] [ x2*x3*x1*x4, x3^2*x1, x2*x3^2*x1, x3^2*x4^2, x1*x3^2*x1 ] [ x2*x3^2*x1*x4^3, x1*x3^2*x1*x4^2*x3, x3^2*x1, x3^2*x4^2, x1*x3^2*x1 ] [ x3^2*x1*x4^3, x1*x2*x3^2*x1*x4^2*x3, x2*x3^2*x1, x3^2*x4^2, x1*x3^2*x1 ] [ x2*x3^2*x1*x4^3, x1*x3^2*x1*x4^2*x3, x2, x3^2*x4^2, x1*x3^2*x1 ] [ x4^3, x1*x2*x3^2*x4^2*x3, x3^2*x1, x2*x3^2*x1, x3^2*x4^2 ] [ x4^3, x1*x2*x3^2*x4^2*x3, x3^2*x1, x2*x3^2*x1, x1*x3^2*x1 ] [ x1*x3^5*x4^3, x1, x2, x4^4, x3^2 ] [ x1*x3^5*x4^3, x1, x1*x3^3, x4^4, x3^2 ] [ x1*x3^5*x4^3, x1, x1*x2*x3^3, x4^4, x3^2 ] [ x1*x3^5*x4^3, x2, x1*x3^3, x4^4, x3^2 ] [ x1*x3^5*x4^3, x3^3, x2, x4^4, x3^2 ] [ x1*x3^5*x4^3, x1*x2, x1*x3^3, x4^4, x3^2 ] [ x1*x3^5*x4^3, x3^3, x1*x2*x3^3, x4^4, x3^2 ] [ x1, x2, x1*x3^3, x4^4, x3^2 ] [ x3^2*x4^3, x1, x2, x4^4, x3^2 ] [ x1*x2*x3^5*x4^3, x1, x1*x3^3, x4^4, x3^2 ] [ x3^2*x4^3, x1, x1*x2*x3^3, x4^4, x3^2 ] [ x3^5*x4^3, x2, x1*x3^3, x4^4, x3^2 ] [ x3^2*x4^3, x3^3, x2, x4^4, x3^2 ] [ x1*x2*x3^5*x4^3, x1*x2, x1*x3^3, x4^4, x3^2 ] [ x3^2*x4^3, x3^3, x1*x2*x3^3, x4^4, x3^2 ] [ x1*x3^5*x4^3, x1, x2, x1*x3^3, x3^2 ] [ x1*x3^5*x4^3, x1, x2, x1*x3^3, x4^4 ] [ x4^3, x3^3*x4^2, x1, x4^2, x3^2 ] [ x4^3, x3^3*x4^2, x1*x2*x3^2, x4^2, x3^2 ] [ x4^3, x3^3*x4^2, x2*x3^2, x4^2, x3^2 ] [ x4^3, x1, x1*x2*x3^2, x4^2, x3^2 ] [ x4^3, x1*x3*x2*x4^2, x1, x4^2, x3^2 ] [ x4^3, x1*x3^3*x4^2, x1*x2*x3^2, x4^2, x3^2 ] [ x4^3, x1*x3*x2*x4^2, x2*x3^2, x4^2, x3^2 ] [ x3^3*x4^2, x1, x1*x2*x3^2, x4^2, x3^2 ] [ x1*x2*x3^2*x4^3, x3^3*x4^2, x1, x4^2, x3^2 ] [ x1*x4^3, x3^3*x4^2, x1*x2*x3^2, x4^2, x3^2 ] [ x1*x2*x3^2*x4^3, x3^3*x4^2, x2*x3^2, x4^2, x3^2 ] [ x3^2*x4*x3, x1, x1*x2*x3^2, x4^2, x3^2 ] [ x1*x2*x3^2*x4^3, x1*x3*x2*x4^2, x1, x4^2, x3^2 ] [ x1*x4^3, x1*x3^3*x4^2, x1*x2*x3^2, x4^2, x3^2 ] [ x1*x2*x3^2*x4^3, x1*x3*x2*x4^2, x2*x3^2, x4^2, x3^2 ] [ x4^3, x3^3*x4^2, x1, x1*x2*x3^2, x4^2 ] [ x4^3, x3^3*x4^2, x1, x1*x2*x3^2, x3^2 ] [ x1*x3^4*x4^3, x1*x2, x1, x3^2, x4^2 ] [ x1*x3^4*x4^3, x1*x2, x1*x2*x3^2*x4^2*x3, x3^2, x4^2 ] [ x1*x3^4*x4^3, x1*x2, x2*x3^2*x4^2*x3, x3^2, x4^2 ] [ x1*x3^4*x4^3, x1, x1*x2*x3^2*x4^2*x3, x3^2, x4^2 ] [ x1*x3^4*x4^3, x3^2*x4^2*x3, x1, x3^2, x4^2 ] [ x1*x3^4*x4^3, x2, x1*x2*x3^2*x4^2*x3, x3^2, x4^2 ] [ x1*x3^4*x4^3, x3^2*x4^2*x3, x2*x3^2*x4^2*x3, x3^2, x4^2 ] [ x1*x2, x1, x1*x2*x3^2*x4^2*x3, x3^2, x4^2 ] [ x2*x3*x4, x1*x2, x1, x3^2, x4^2 ] [ x3^4*x4^3, x1*x2, x1*x2*x3^2*x4^2*x3, x3^2, x4^2 ] [ x2*x3*x4, x1*x2, x2*x3^2*x4^2*x3, x3^2, x4^2 ] [ x2*x3^4*x4^3, x1, x1*x2*x3^2*x4^2*x3, x3^2, x4^2 ] [ x2*x3*x4, x3^2*x4^2*x3, x1, x3^2, x4^2 ] [ x3^4*x4^3, x2, x1*x2*x3^2*x4^2*x3, x3^2, x4^2 ] [ x2*x3*x4, x3^2*x4^2*x3, x2*x3^2*x4^2*x3, x3^2, x4^2 ] [ x1*x3^4*x4^3, x1*x2, x1, x1*x2*x3^2*x4^2*x3, x4^2 ] [ x1*x3^4*x4^3, x1*x2, x1, x1*x2*x3^2*x4^2*x3, x3^2 ] [ x1*x4^3, x2*x3^3*x4^2, x1, x4^2, x3^2 ] [ x1*x4^3, x2*x3^3*x4^2, x2, x4^2, x3^2 ] [ x1*x4^3, x2*x3^3*x4^2, x1*x2, x4^2, x3^2 ] [ x1*x4^3, x1, x2, x4^2, x3^2 ] [ x1*x4^3, x3^3*x4^2, x1, x4^2, x3^2 ] [ x1*x4^3, x1*x2*x3^3*x4^2, x2, x4^2, x3^2 ] [ x1*x4^3, x3^3*x4^2, x1*x2, x4^2, x3^2 ] [ x2*x3^3*x4^2, x1, x2, x4^2, x3^2 ] [ x1*x2*x4^3, x2*x3^3*x4^2, x1, x4^2, x3^2 ] [ x4^3, x2*x3^3*x4^2, x2, x4^2, x3^2 ] [ x1*x2*x4^3, x2*x3^3*x4^2, x1*x2, x4^2, x3^2 ] [ x1*x2*x3^2*x4*x3, x1, x2, x4^2, x3^2 ] [ x1*x2*x4^3, x3^3*x4^2, x1, x4^2, x3^2 ] [ x4^3, x1*x2*x3^3*x4^2, x2, x4^2, x3^2 ] [ x1*x2*x4^3, x3^3*x4^2, x1*x2, x4^2, x3^2 ] [ x1*x4^3, x2*x3^3*x4^2, x1, x2, x3^2 ] [ x1*x4^3, x2*x3^3*x4^2, x1, x2, x4^2 ] [ x4^3, x1*x3^3, x2, x4^2, x3^2 ] [ x4^3, x1*x3^3, x1, x4^2, x3^2 ] [ x4^3, x1*x3^3, x1*x2, x4^2, x3^2 ] [ x4^3, x2, x1, x4^2, x3^2 ] [ x4^3, x3^3, x2, x4^2, x3^2 ] [ x4^3, x1*x2*x3^3, x1, x4^2, x3^2 ] [ x4^3, x3^3, x1*x2, x4^2, x3^2 ] [ x1*x3^3, x2, x1, x4^2, x3^2 ] [ x1*x4^3, x1*x3^3, x2, x4^2, x3^2 ] [ x2*x4^3, x1*x3^3, x1, x4^2, x3^2 ] [ x1*x4^3, x1*x3^3, x1*x2, x4^2, x3^2 ] [ x1*x3^3*x4^3, x2, x1, x4^2, x3^2 ] [ x1*x4^3, x3^3, x2, x4^2, x3^2 ] [ x2*x4^3, x1*x2*x3^3, x1, x4^2, x3^2 ] [ x1*x4^3, x3^3, x1*x2, x4^2, x3^2 ] [ x4^3, x1*x3^3, x2, x1, x4^2 ] [ x4^3, x1*x3^3, x2, x1, x3^2 ] [ x4^3, x1*x3^3, x2, x1, x1*x3^2*x1*x4^2 ] [ x4^3, x1*x3^3, x2, x1, x3^2*x4^2 ] [ x4^3, x3^3, x2, x4^4, x3^2 ] [ x4^3, x3^3, x1, x4^4, x3^2 ] [ x4^3, x3^3, x1*x2, x4^4, x3^2 ] [ x4^3, x2, x1, x4^4, x3^2 ] [ x4^3, x1*x3^3, x2, x4^4, x3^2 ] [ x4^3, x2*x3^3, x1, x4^4, x3^2 ] [ x4^3, x1*x3^3, x1*x2, x4^4, x3^2 ] [ x3^3, x2, x1, x4^4, x3^2 ] [ x1*x4^3, x3^3, x2, x4^4, x3^2 ] [ x2*x4^3, x3^3, x1, x4^4, x3^2 ] [ x1*x4^3, x3^3, x1*x2, x4^4, x3^2 ] [ x3^3*x4^3, x2, x1, x4^4, x3^2 ] [ x1*x4^3, x1*x3^3, x2, x4^4, x3^2 ] [ x2*x4^3, x2*x3^3, x1, x4^4, x3^2 ] [ x1*x4^3, x1*x3^3, x1*x2, x4^4, x3^2 ] [ x4^3, x3^3, x2, x1, x4^4 ] [ x4^3, x3^3, x2, x1, x3^2 ] [ x4^3, x3^3, x2, x1, x3^4*x4^4 ] [ x4^3, x3^3, x2, x1, x3^2*x4^4 ] [ x4^3, x3, x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x4^3, x3, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x4^3, x3, x1*x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x4^3, x2, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x4^3, x1*x3, x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x4^3, x2*x3, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x4^3, x1*x3, x1*x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x3, x2, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x1*x4^3, x3, x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x2*x4^3, x3, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x1*x4^3, x3, x1*x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x3*x4^3, x2, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x1*x4^3, x1*x3, x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x2*x4^3, x2*x3, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x1*x4^3, x1*x3, x1*x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x4^3, x3, x2, x1, x1*x4^2*x1*x4^4 ] [ x4^3, x3, x2, x1, x1*x4^2*x1*x4^2 ] [ x4^3, x3, x1*x2, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ] [ x4^3, x3, x1, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ] [ x4^3, x3, x2, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ] [ x4^3, x1*x2, x1, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ] [ x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ] [ x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ] [ x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ] [ x3, x1*x2, x1, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ] [ x1*x4^3, x3, x1*x2, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ] [ x1*x2*x4^3, x3, x1, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ] [ x1*x4^3, x3, x2, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ] [ x3*x4^3, x1*x2, x1, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ] [ x1*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ] [ x1*x2*x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ] [ x1*x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ] [ x4^3, x3, x1*x2, x1, x1*x4^2*x1*x4^4 ] [ x4^3, x3, x1*x2, x1, x1*x4*x1*x4 ] [ x4^3, x1*x3^3*x4^2, x1, x3^4, x4^2 ] [ x4^3, x1*x3^3*x4^2, x2, x3^4, x4^2 ] [ x4^3, x1*x3^3*x4^2, x1*x2, x3^4, x4^2 ] [ x4^3, x1, x2, x3^4, x4^2 ] [ x4^3, x1*x2*x3^3*x4^2, x1, x3^4, x4^2 ] [ x4^3, x3^3*x4^2, x2, x3^4, x4^2 ] [ x4^3, x1*x2*x3^3*x4^2, x1*x2, x3^4, x4^2 ] [ x1*x3^3*x4^2, x1, x2, x3^4, x4^2 ] [ x2*x4^3, x1*x3^3*x4^2, x1, x3^4, x4^2 ] [ x1*x4^3, x1*x3^3*x4^2, x2, x3^4, x4^2 ] [ x2*x4^3, x1*x3^3*x4^2, x1*x2, x3^4, x4^2 ] [ x1*x3^2*x4*x3, x1, x2, x3^4, x4^2 ] [ x2*x4^3, x1*x2*x3^3*x4^2, x1, x3^4, x4^2 ] [ x1*x4^3, x3^3*x4^2, x2, x3^4, x4^2 ] [ x2*x4^3, x1*x2*x3^3*x4^2, x1*x2, x3^4, x4^2 ] [ x4^3, x1*x3^3*x4^2, x1, x2, x4^2 ] [ x4^3, x1*x3^3*x4^2, x1, x2, x3^4 ] [ x4^3, x1*x3^3*x4^2, x1, x3^4, x4^2 ] [ x4^3, x1*x3^3*x4^2, x2, x3^4, x4^2 ] [ x4^3, x1*x3^3*x4^2, x1*x2, x3^4, x4^2 ] [ x4^3, x1, x2, x3^4, x4^2 ] [ x4^3, x1*x2*x3^3*x4^2, x1, x3^4, x4^2 ] [ x4^3, x3^3*x4^2, x2, x3^4, x4^2 ] [ x4^3, x1*x2*x3^3*x4^2, x1*x2, x3^4, x4^2 ] [ x1*x3^3*x4^2, x1, x2, x3^4, x4^2 ] [ x2*x4^3, x1*x3^3*x4^2, x1, x3^4, x4^2 ] [ x1*x4^3, x1*x3^3*x4^2, x2, x3^4, x4^2 ] [ x2*x4^3, x1*x3^3*x4^2, x1*x2, x3^4, x4^2 ] [ x1*x3^2*x4*x3, x1, x2, x3^4, x4^2 ] [ x2*x4^3, x1*x2*x3^3*x4^2, x1, x3^4, x4^2 ] [ x1*x4^3, x3^3*x4^2, x2, x3^4, x4^2 ] [ x2*x4^3, x1*x2*x3^3*x4^2, x1*x2, x3^4, x4^2 ] [ x4^3, x1*x3^3*x4^2, x1, x2, x4^2 ] [ x4^3, x1*x3^3*x4^2, x1, x2, x3^4 ] [ x4^3, x3, x1*x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x4^3, x3, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x4^3, x3, x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x4^3, x1*x2, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x4^3, x1*x3, x1*x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x4^3, x1*x2*x3, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x4^3, x1*x3, x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x3, x1*x2, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x1*x4^3, x3, x1*x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x1*x2*x4^3, x3, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x1*x4^3, x3, x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x3*x4^3, x1*x2, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x1*x4^3, x1*x3, x1*x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x1*x2*x4^3, x1*x2*x3, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x1*x4^3, x1*x3, x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x4^3, x3, x1*x2, x1, x1*x4^2*x1*x4^4 ] [ x4^3, x3, x1*x2, x1, x1*x4^2*x1*x4^2 ] [ x4^3, x1*x3^3*x4^2, x1, x3^4, x4^2 ] [ x4^3, x1*x3^3*x4^2, x2, x3^4, x4^2 ] [ x4^3, x1*x3^3*x4^2, x1*x2, x3^4, x4^2 ] [ x4^3, x1, x2, x3^4, x4^2 ] [ x4^3, x1*x2*x3^3*x4^2, x1, x3^4, x4^2 ] [ x4^3, x3^3*x4^2, x2, x3^4, x4^2 ] [ x4^3, x1*x2*x3^3*x4^2, x1*x2, x3^4, x4^2 ] [ x1*x3^3*x4^2, x1, x2, x3^4, x4^2 ] [ x2*x4^3, x1*x3^3*x4^2, x1, x3^4, x4^2 ] [ x1*x4^3, x1*x3^3*x4^2, x2, x3^4, x4^2 ] [ x2*x4^3, x1*x3^3*x4^2, x1*x2, x3^4, x4^2 ] [ x1*x3^2*x4*x3, x1, x2, x3^4, x4^2 ] [ x2*x4^3, x1*x2*x3^3*x4^2, x1, x3^4, x4^2 ] [ x1*x4^3, x3^3*x4^2, x2, x3^4, x4^2 ] [ x2*x4^3, x1*x2*x3^3*x4^2, x1*x2, x3^4, x4^2 ] [ x4^3, x1*x3^3*x4^2, x1, x2, x4^2 ] [ x4^3, x1*x3^3*x4^2, x1, x2, x3^4 ] [ x2*x4*x1*x4*x1*x4, x3, x1*x2, x4^4, x1*x4*x1*x4^5 ] [ x2*x4*x1*x4*x1*x4, x3, x1, x4^4, x1*x4*x1*x4^5 ] [ x2*x4*x1*x4*x1*x4, x3, x2, x4^4, x1*x4*x1*x4^5 ] [ x2*x4*x1*x4*x1*x4, x1*x2, x1, x4^4, x1*x4*x1*x4^5 ] [ x2*x4*x1*x4*x1*x4, x1*x3, x1*x2, x4^4, x1*x4*x1*x4^5 ] [ x2*x4*x1*x4*x1*x4, x1*x2*x3, x1, x4^4, x1*x4*x1*x4^5 ] [ x2*x4*x1*x4*x1*x4, x1*x3, x2, x4^4, x1*x4*x1*x4^5 ] [ x3, x1*x2, x1, x4^4, x1*x4*x1*x4^5 ] [ x1*x2*x4*x1*x4*x1*x4, x3, x1*x2, x4^4, x1*x4*x1*x4^5 ] [ x1*x4*x1*x4*x1*x4, x3, x1, x4^4, x1*x4*x1*x4^5 ] [ x1*x2*x4*x1*x4*x1*x4, x3, x2, x4^4, x1*x4*x1*x4^5 ] [ x2*x3*x4*x1*x4*x1*x4, x1*x2, x1, x4^4, x1*x4*x1*x4^5 ] [ x1*x2*x4*x1*x4*x1*x4, x1*x3, x1*x2, x4^4, x1*x4*x1*x4^5 ] [ x1*x4*x1*x4*x1*x4, x1*x2*x3, x1, x4^4, x1*x4*x1*x4^5 ] [ x1*x2*x4*x1*x4*x1*x4, x1*x3, x2, x4^4, x1*x4*x1*x4^5 ] [ x2*x4*x1*x4*x1*x4, x3, x1*x2, x1, x1*x4*x1*x4^5 ] [ x2*x4*x1*x4*x1*x4, x3, x1*x2, x1, x4^4 ] [ x4^3, x1*x3^2*x4^2*x3, x1, x3^4, x4^2 ] [ x4^3, x1*x3^2*x4^2*x3, x2, x3^4, x4^2 ] [ x4^3, x1*x3^2*x4^2*x3, x1*x2, x3^4, x4^2 ] [ x4^3, x1, x2, x3^4, x4^2 ] [ x4^3, x1*x2*x3^2*x4^2*x3, x1, x3^4, x4^2 ] [ x4^3, x3^2*x4^2*x3, x2, x3^4, x4^2 ] [ x4^3, x1*x2*x3^2*x4^2*x3, x1*x2, x3^4, x4^2 ] [ x1*x3^2*x4^2*x3, x1, x2, x3^4, x4^2 ] [ x2*x4^3, x1*x3^2*x4^2*x3, x1, x3^4, x4^2 ] [ x1*x4^3, x1*x3^2*x4^2*x3, x2, x3^4, x4^2 ] [ x2*x4^3, x1*x3^2*x4^2*x3, x1*x2, x3^4, x4^2 ] [ x1*x3^3*x4, x1, x2, x3^4, x4^2 ] [ x2*x4^3, x1*x2*x3^2*x4^2*x3, x1, x3^4, x4^2 ] [ x1*x4^3, x3^2*x4^2*x3, x2, x3^4, x4^2 ] [ x2*x4^3, x1*x2*x3^2*x4^2*x3, x1*x2, x3^4, x4^2 ] [ x4^3, x1*x3^2*x4^2*x3, x1, x2, x4^2 ] [ x4^3, x1*x3^2*x4^2*x3, x1, x2, x3^4 ] [ x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ] [ x4^3, x1*x3, x1, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ] [ x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ] [ x4^3, x2, x1, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ] [ x4^3, x3, x2, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ] [ x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ] [ x4^3, x3, x1*x2, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ] [ x1*x3, x2, x1, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ] [ x1*x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ] [ x2*x4^3, x1*x3, x1, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ] [ x1*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ] [ x1*x3*x4^3, x2, x1, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ] [ x1*x4^3, x3, x2, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ] [ x2*x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ] [ x1*x4^3, x3, x1*x2, x1*x4*x1*x4, x1*x4^2*x1*x4^4 ] [ x4^3, x1*x3, x2, x1, x1*x4^2*x1*x4^4 ] [ x4^3, x1*x3, x2, x1, x1*x4*x1*x4 ] [ x4^3, x2*x3^2*x4^2*x3, x1, x3^4, x4^2 ] [ x4^3, x2*x3^2*x4^2*x3, x2, x3^4, x4^2 ] [ x4^3, x2*x3^2*x4^2*x3, x1*x2, x3^4, x4^2 ] [ x4^3, x1, x2, x3^4, x4^2 ] [ x4^3, x3^2*x4^2*x3, x1, x3^4, x4^2 ] [ x4^3, x1*x2*x3^2*x4^2*x3, x2, x3^4, x4^2 ] [ x4^3, x3^2*x4^2*x3, x1*x2, x3^4, x4^2 ] [ x2*x3^2*x4^2*x3, x1, x2, x3^4, x4^2 ] [ x2*x4^3, x2*x3^2*x4^2*x3, x1, x3^4, x4^2 ] [ x1*x4^3, x2*x3^2*x4^2*x3, x2, x3^4, x4^2 ] [ x2*x4^3, x2*x3^2*x4^2*x3, x1*x2, x3^4, x4^2 ] [ x2*x3^3*x4, x1, x2, x3^4, x4^2 ] [ x2*x4^3, x3^2*x4^2*x3, x1, x3^4, x4^2 ] [ x1*x4^3, x1*x2*x3^2*x4^2*x3, x2, x3^4, x4^2 ] [ x2*x4^3, x3^2*x4^2*x3, x1*x2, x3^4, x4^2 ] [ x4^3, x2*x3^2*x4^2*x3, x1, x2, x4^2 ] [ x4^3, x2*x3^2*x4^2*x3, x1, x2, x3^4 ] [ x4^3, x3, x1*x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x4^3, x3, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x4^3, x3, x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x4^3, x1*x2, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x4^3, x1*x3, x1*x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x4^3, x1*x2*x3, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x4^3, x1*x3, x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x3, x1*x2, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x1*x4^3, x3, x1*x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x1*x2*x4^3, x3, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x1*x4^3, x3, x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x3*x4^3, x1*x2, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x1*x4^3, x1*x3, x1*x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x1*x2*x4^3, x1*x2*x3, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x1*x4^3, x1*x3, x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x4^3, x3, x1*x2, x1, x1*x4^2*x1*x4^4 ] [ x4^3, x3, x1*x2, x1, x1*x4^2*x1*x4^2 ] [ x4^3, x3, x1*x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x4^3, x3, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x4^3, x3, x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x4^3, x1*x2, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x4^3, x1*x3, x1*x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x4^3, x1*x2*x3, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x4^3, x1*x3, x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x3, x1*x2, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x1*x4^3, x3, x1*x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x1*x2*x4^3, x3, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x1*x4^3, x3, x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x3*x4^3, x1*x2, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x1*x4^3, x1*x3, x1*x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x1*x2*x4^3, x1*x2*x3, x1, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x1*x4^3, x1*x3, x2, x1*x4^2*x1*x4^2, x1*x4^2*x1*x4^4 ] [ x4^3, x3, x1*x2, x1, x1*x4^2*x1*x4^4 ] [ x4^3, x3, x1*x2, x1, x1*x4^2*x1*x4^2 ] [ x3^3*x4^3, x3^3, x1, x4^2, x3^2 ] [ x3^3*x4^3, x3^3, x1*x2*x3^2, x4^2, x3^2 ] [ x3^3*x4^3, x3^3, x2*x3^2, x4^2, x3^2 ] [ x3^3*x4^3, x1, x1*x2*x3^2, x4^2, x3^2 ] [ x3^3*x4^3, x1*x3*x2, x1, x4^2, x3^2 ] [ x3^3*x4^3, x1*x3^3, x1*x2*x3^2, x4^2, x3^2 ] [ x3^3*x4^3, x1*x3*x2, x2*x3^2, x4^2, x3^2 ] [ x3^3, x1, x1*x2*x3^2, x4^2, x3^2 ] [ x1*x3*x2*x4^3, x3^3, x1, x4^2, x3^2 ] [ x1*x3^3*x4^3, x3^3, x1*x2*x3^2, x4^2, x3^2 ] [ x1*x3*x2*x4^3, x3^3, x2*x3^2, x4^2, x3^2 ] [ x4^3, x1, x1*x2*x3^2, x4^2, x3^2 ] [ x1*x3*x2*x4^3, x1*x3*x2, x1, x4^2, x3^2 ] [ x1*x3^3*x4^3, x1*x3^3, x1*x2*x3^2, x4^2, x3^2 ] [ x1*x3*x2*x4^3, x1*x3*x2, x2*x3^2, x4^2, x3^2 ] [ x3^3*x4^3, x3^3, x1, x1*x2*x3^2, x4^2 ] [ x3^3*x4^3, x3^3, x1, x1*x2*x3^2, x3^2 ] [ x2*x3^4*x4^3, x2, x1, x3^2, x4^2 ] [ x2*x3^4*x4^3, x2, x1*x3^3, x3^2, x4^2 ] [ x2*x3^4*x4^3, x2, x3^3, x3^2, x4^2 ] [ x2*x3^4*x4^3, x1, x1*x3^3, x3^2, x4^2 ] [ x2*x3^4*x4^3, x1*x2*x3^3, x1, x3^2, x4^2 ] [ x2*x3^4*x4^3, x1*x2, x1*x3^3, x3^2, x4^2 ] [ x2*x3^4*x4^3, x1*x2*x3^3, x3^3, x3^2, x4^2 ] [ x2, x1, x1*x3^3, x3^2, x4^2 ] [ x1*x2*x3*x4^3, x2, x1, x3^2, x4^2 ] [ x1*x2*x3^4*x4^3, x2, x1*x3^3, x3^2, x4^2 ] [ x1*x2*x3*x4^3, x2, x3^3, x3^2, x4^2 ] [ x3^4*x4^3, x1, x1*x3^3, x3^2, x4^2 ] [ x1*x2*x3*x4^3, x1*x2*x3^3, x1, x3^2, x4^2 ] [ x1*x2*x3^4*x4^3, x1*x2, x1*x3^3, x3^2, x4^2 ] [ x1*x2*x3*x4^3, x1*x2*x3^3, x3^3, x3^2, x4^2 ] [ x2*x3^4*x4^3, x2, x1, x1*x3^3, x4^2 ] [ x2*x3^4*x4^3, x2, x1, x1*x3^3, x3^2 ] [ x3^3*x4^3, x3^3, x1*x3^2, x4^2, x3^2 ] [ x3^3*x4^3, x3^3, x1*x2*x3^2, x4^2, x3^2 ] [ x3^3*x4^3, x3^3, x2, x4^2, x3^2 ] [ x3^3*x4^3, x1*x3^2, x1*x2*x3^2, x4^2, x3^2 ] [ x3^3*x4^3, x2*x3*x1, x1*x3^2, x4^2, x3^2 ] [ x3^3*x4^3, x3*x1, x1*x2*x3^2, x4^2, x3^2 ] [ x3^3*x4^3, x2*x3*x1, x2, x4^2, x3^2 ] [ x3^3, x1*x3^2, x1*x2*x3^2, x4^2, x3^2 ] [ x2*x3*x1*x4^3, x3^3, x1*x3^2, x4^2, x3^2 ] [ x3*x1*x4^3, x3^3, x1*x2*x3^2, x4^2, x3^2 ] [ x2*x3*x1*x4^3, x3^3, x2, x4^2, x3^2 ] [ x4^3, x1*x3^2, x1*x2*x3^2, x4^2, x3^2 ] [ x2*x3*x1*x4^3, x2*x3*x1, x1*x3^2, x4^2, x3^2 ] [ x3*x1*x4^3, x3*x1, x1*x2*x3^2, x4^2, x3^2 ] [ x2*x3*x1*x4^3, x2*x3*x1, x2, x4^2, x3^2 ] [ x3^3*x4^3, x3^3, x1*x3^2, x1*x2*x3^2, x4^2 ] [ x3^3*x4^3, x3^3, x1*x3^2, x1*x2*x3^2, x3^2 ] [ x1*x2*x3*x4^3, x2*x3, x1, x2*x4*x2*x4, x3*x4*x3*x4 ] [ x1*x2*x3*x4^3, x2*x3, x2, x2*x4*x2*x4, x3*x4*x3*x4 ] [ x1*x2*x3*x4^3, x2*x3, x1*x2, x2*x4*x2*x4, x3*x4*x3*x4 ] [ x1*x2*x3*x4^3, x1, x2, x2*x4*x2*x4, x3*x4*x3*x4 ] [ x1*x2*x3*x4^3, x3, x1, x2*x4*x2*x4, x3*x4*x3*x4 ] [ x1*x2*x3*x4^3, x1*x2*x3, x2, x2*x4*x2*x4, x3*x4*x3*x4 ] [ x1*x2*x3*x4^3, x3, x1*x2, x2*x4*x2*x4, x3*x4*x3*x4 ] [ x2*x3, x1, x2, x2*x4*x2*x4, x3*x4*x3*x4 ] [ x1*x3*x4^3, x2*x3, x1, x2*x4*x2*x4, x3*x4*x3*x4 ] [ x2*x3*x4^3, x2*x3, x2, x2*x4*x2*x4, x3*x4*x3*x4 ] [ x1*x3*x4^3, x2*x3, x1*x2, x2*x4*x2*x4, x3*x4*x3*x4 ] [ x1*x4^3, x1, x2, x2*x4*x2*x4, x3*x4*x3*x4 ] [ x1*x3*x4^3, x3, x1, x2*x4*x2*x4, x3*x4*x3*x4 ] [ x2*x3*x4^3, x1*x2*x3, x2, x2*x4*x2*x4, x3*x4*x3*x4 ] [ x1*x3*x4^3, x3, x1*x2, x2*x4*x2*x4, x3*x4*x3*x4 ] [ x1*x2*x3*x4^3, x2*x3, x1, x2, x2*x4*x2*x4 ] [ x1*x2*x3*x4^3, x2*x3, x1, x2, x3*x4*x3*x4 ] [ x1*x3^4*x4^3, x2, x1, x3^4, x4^2 ] [ x1*x3^4*x4^3, x2, x2*x3^3*x4^2, x3^4, x4^2 ] [ x1*x3^4*x4^3, x2, x1*x2*x3^3*x4^2, x3^4, x4^2 ] [ x1*x3^4*x4^3, x1, x2*x3^3*x4^2, x3^4, x4^2 ] [ x1*x3^4*x4^3, x3^3*x4^2, x1, x3^4, x4^2 ] [ x1*x3^4*x4^3, x1*x2, x2*x3^3*x4^2, x3^4, x4^2 ] [ x1*x3^4*x4^3, x3^3*x4^2, x1*x2*x3^3*x4^2, x3^4, x4^2 ] [ x2, x1, x2*x3^3*x4^2, x3^4, x4^2 ] [ x1*x2*x3^2*x4*x3, x2, x1, x3^4, x4^2 ] [ x3^4*x4^3, x2, x2*x3^3*x4^2, x3^4, x4^2 ] [ x1*x2*x3^2*x4*x3, x2, x1*x2*x3^3*x4^2, x3^4, x4^2 ] [ x1*x2*x3^4*x4^3, x1, x2*x3^3*x4^2, x3^4, x4^2 ] [ x1*x2*x3^2*x4*x3, x3^3*x4^2, x1, x3^4, x4^2 ] [ x3^4*x4^3, x1*x2, x2*x3^3*x4^2, x3^4, x4^2 ] [ x1*x2*x3^2*x4*x3, x3^3*x4^2, x1*x2*x3^3*x4^2, x3^4, x4^2 ] [ x1*x3^4*x4^3, x2, x1, x2*x3^3*x4^2, x4^2 ] [ x1*x3^4*x4^3, x2, x1, x2*x3^3*x4^2, x3^4 ] [ x2*x3^4*x4^3, x2, x1, x3^2, x4^2 ] [ x2*x3^4*x4^3, x2, x3^3, x3^2, x4^2 ] [ x2*x3^4*x4^3, x2, x1*x3^3, x3^2, x4^2 ] [ x2*x3^4*x4^3, x1, x3^3, x3^2, x4^2 ] [ x2*x3^4*x4^3, x2*x3^3, x1, x3^2, x4^2 ] [ x2*x3^4*x4^3, x1*x2, x3^3, x3^2, x4^2 ] [ x2*x3^4*x4^3, x2*x3^3, x1*x3^3, x3^2, x4^2 ] [ x2, x1, x3^3, x3^2, x4^2 ] [ x2*x3*x4^3, x2, x1, x3^2, x4^2 ] [ x1*x2*x3^4*x4^3, x2, x3^3, x3^2, x4^2 ] [ x2*x3*x4^3, x2, x1*x3^3, x3^2, x4^2 ] [ x3^4*x4^3, x1, x3^3, x3^2, x4^2 ] [ x2*x3*x4^3, x2*x3^3, x1, x3^2, x4^2 ] [ x1*x2*x3^4*x4^3, x1*x2, x3^3, x3^2, x4^2 ] [ x2*x3*x4^3, x2*x3^3, x1*x3^3, x3^2, x4^2 ] [ x2*x3^4*x4^3, x2, x1, x3^3, x3^2 ] [ x2*x3^4*x4^3, x2, x1, x3^3, x4^2 ] [ x1*x4^3, x2, x1, x3^2, x4^2 ] [ x1*x4^3, x2, x2*x3^3*x4^2, x3^2, x4^2 ] [ x1*x4^3, x2, x1*x2*x3^3*x4^2, x3^2, x4^2 ] [ x1*x4^3, x1, x2*x3^3*x4^2, x3^2, x4^2 ] [ x1*x4^3, x3^3*x4^2, x1, x3^2, x4^2 ] [ x1*x4^3, x1*x2, x2*x3^3*x4^2, x3^2, x4^2 ] [ x1*x4^3, x3^3*x4^2, x1*x2*x3^3*x4^2, x3^2, x4^2 ] [ x2, x1, x2*x3^3*x4^2, x3^2, x4^2 ] [ x1*x2*x3^4*x4*x3, x2, x1, x3^2, x4^2 ] [ x4^3, x2, x2*x3^3*x4^2, x3^2, x4^2 ] [ x1*x2*x3^4*x4*x3, x2, x1*x2*x3^3*x4^2, x3^2, x4^2 ] [ x1*x2*x4^3, x1, x2*x3^3*x4^2, x3^2, x4^2 ] [ x1*x2*x3^4*x4*x3, x3^3*x4^2, x1, x3^2, x4^2 ] [ x4^3, x1*x2, x2*x3^3*x4^2, x3^2, x4^2 ] [ x1*x2*x3^4*x4*x3, x3^3*x4^2, x1*x2*x3^3*x4^2, x3^2, x4^2 ] [ x1*x4^3, x2, x1, x2*x3^3*x4^2, x3^2 ] [ x1*x4^3, x2, x1, x2*x3^3*x4^2, x4^2 ] [ x3^2*x4^3, x2, x1, x3^4, x4^2 ] [ x3^2*x4^3, x2, x1*x2*x3^2*x4^2*x3, x3^4, x4^2 ] [ x3^2*x4^3, x2, x2*x3^2*x4^2*x3, x3^4, x4^2 ] [ x3^2*x4^3, x1, x1*x2*x3^2*x4^2*x3, x3^4, x4^2 ] [ x3^2*x4^3, x1*x3^2*x4^2*x3, x1, x3^4, x4^2 ] [ x3^2*x4^3, x1*x2, x1*x2*x3^2*x4^2*x3, x3^4, x4^2 ] [ x3^2*x4^3, x1*x3^2*x4^2*x3, x2*x3^2*x4^2*x3, x3^4, x4^2 ] [ x2, x1, x1*x2*x3^2*x4^2*x3, x3^4, x4^2 ] [ x1*x2*x3^5*x4, x2, x1, x3^4, x4^2 ] [ x1*x3^2*x4^3, x2, x1*x2*x3^2*x4^2*x3, x3^4, x4^2 ] [ x1*x2*x3^5*x4, x2, x2*x3^2*x4^2*x3, x3^4, x4^2 ] [ x2*x3^2*x4^3, x1, x1*x2*x3^2*x4^2*x3, x3^4, x4^2 ] [ x1*x2*x3^5*x4, x1*x3^2*x4^2*x3, x1, x3^4, x4^2 ] [ x1*x3^2*x4^3, x1*x2, x1*x2*x3^2*x4^2*x3, x3^4, x4^2 ] [ x1*x2*x3^5*x4, x1*x3^2*x4^2*x3, x2*x3^2*x4^2*x3, x3^4, x4^2 ] [ x3^2*x4^3, x2, x1, x1*x2*x3^2*x4^2*x3, x3^4 ] [ x3^2*x4^3, x2, x1, x1*x2*x3^2*x4^2*x3, x4^2 ] [ x2*x3^4*x4^3, x2, x1, x3^2, x4^2 ] [ x2*x3^4*x4^3, x2, x1*x3^3, x3^2, x4^2 ] [ x2*x3^4*x4^3, x2, x3^3, x3^2, x4^2 ] [ x2*x3^4*x4^3, x1, x1*x3^3, x3^2, x4^2 ] [ x2*x3^4*x4^3, x1*x2*x3^3, x1, x3^2, x4^2 ] [ x2*x3^4*x4^3, x1*x2, x1*x3^3, x3^2, x4^2 ] [ x2*x3^4*x4^3, x1*x2*x3^3, x3^3, x3^2, x4^2 ] [ x2, x1, x1*x3^3, x3^2, x4^2 ] [ x1*x2*x3*x4^3, x2, x1, x3^2, x4^2 ] [ x1*x2*x3^4*x4^3, x2, x1*x3^3, x3^2, x4^2 ] [ x1*x2*x3*x4^3, x2, x3^3, x3^2, x4^2 ] [ x3^4*x4^3, x1, x1*x3^3, x3^2, x4^2 ] [ x1*x2*x3*x4^3, x1*x2*x3^3, x1, x3^2, x4^2 ] [ x1*x2*x3^4*x4^3, x1*x2, x1*x3^3, x3^2, x4^2 ] [ x1*x2*x3*x4^3, x1*x2*x3^3, x3^3, x3^2, x4^2 ] [ x2*x3^4*x4^3, x2, x1, x1*x3^3, x3^2 ] [ x2*x3^4*x4^3, x2, x1, x1*x3^3, x4^2 ] [ x4^3, x1*x2*x3^3, x2, x3^2*x4^2, x3^2 ] [ x4^3, x1*x2*x3^3, x1, x3^2*x4^2, x3^2 ] [ x4^3, x1*x2*x3^3, x1*x2, x3^2*x4^2, x3^2 ] [ x4^3, x2, x1, x3^2*x4^2, x3^2 ] [ x4^3, x2*x3^3, x2, x3^2*x4^2, x3^2 ] [ x4^3, x1*x3^3, x1, x3^2*x4^2, x3^2 ] [ x4^3, x2*x3^3, x1*x2, x3^2*x4^2, x3^2 ] [ x1*x2*x3^3, x2, x1, x3^2*x4^2, x3^2 ] [ x1*x4^3, x1*x2*x3^3, x2, x3^2*x4^2, x3^2 ] [ x2*x4^3, x1*x2*x3^3, x1, x3^2*x4^2, x3^2 ] [ x1*x4^3, x1*x2*x3^3, x1*x2, x3^2*x4^2, x3^2 ] [ x1*x2*x3^3*x4^3, x2, x1, x3^2*x4^2, x3^2 ] [ x1*x4^3, x2*x3^3, x2, x3^2*x4^2, x3^2 ] [ x2*x4^3, x1*x3^3, x1, x3^2*x4^2, x3^2 ] [ x1*x4^3, x2*x3^3, x1*x2, x3^2*x4^2, x3^2 ] [ x4^3, x1*x2*x3^3, x2, x1, x3^2*x4^2 ] [ x4^3, x1*x2*x3^3, x2, x1, x3^2 ] [ x4^3, x1*x2*x3^3, x2, x1, x4^2 ] [ x4^3, x1*x2*x3^3, x2, x1, x1*x3^2*x1*x4^2 ] [ x1*x2*x4^3, x1*x3^3*x4^2, x1, x4^2, x3^2 ] [ x1*x2*x4^3, x1*x3^3*x4^2, x2, x4^2, x3^2 ] [ x1*x2*x4^3, x1*x3^3*x4^2, x1*x2, x4^2, x3^2 ] [ x1*x2*x4^3, x1, x2, x4^2, x3^2 ] [ x1*x2*x4^3, x1*x2*x3^3*x4^2, x1, x4^2, x3^2 ] [ x1*x2*x4^3, x3^3*x4^2, x2, x4^2, x3^2 ] [ x1*x2*x4^3, x1*x2*x3^3*x4^2, x1*x2, x4^2, x3^2 ] [ x1*x3^3*x4^2, x1, x2, x4^2, x3^2 ] [ x1*x4^3, x1*x3^3*x4^2, x1, x4^2, x3^2 ] [ x2*x4^3, x1*x3^3*x4^2, x2, x4^2, x3^2 ] [ x1*x4^3, x1*x3^3*x4^2, x1*x2, x4^2, x3^2 ] [ x2*x3^2*x4*x3, x1, x2, x4^2, x3^2 ] [ x1*x4^3, x1*x2*x3^3*x4^2, x1, x4^2, x3^2 ] [ x2*x4^3, x3^3*x4^2, x2, x4^2, x3^2 ] [ x1*x4^3, x1*x2*x3^3*x4^2, x1*x2, x4^2, x3^2 ] [ x1*x2*x4^3, x1*x3^3*x4^2, x1, x2, x4^2 ] [ x1*x2*x4^3, x1*x3^3*x4^2, x1, x2, x3^2 ] [ x2*x3^4*x4^3, x2, x1, x3^2, x4^2 ] [ x2*x3^4*x4^3, x2, x1*x3^3, x3^2, x4^2 ] [ x2*x3^4*x4^3, x2, x3^3, x3^2, x4^2 ] [ x2*x3^4*x4^3, x1, x1*x3^3, x3^2, x4^2 ] [ x2*x3^4*x4^3, x1*x2*x3^3, x1, x3^2, x4^2 ] [ x2*x3^4*x4^3, x1*x2, x1*x3^3, x3^2, x4^2 ] [ x2*x3^4*x4^3, x1*x2*x3^3, x3^3, x3^2, x4^2 ] [ x2, x1, x1*x3^3, x3^2, x4^2 ] [ x1*x2*x3*x4^3, x2, x1, x3^2, x4^2 ] [ x1*x2*x3^4*x4^3, x2, x1*x3^3, x3^2, x4^2 ] [ x1*x2*x3*x4^3, x2, x3^3, x3^2, x4^2 ] [ x3^4*x4^3, x1, x1*x3^3, x3^2, x4^2 ] [ x1*x2*x3*x4^3, x1*x2*x3^3, x1, x3^2, x4^2 ] [ x1*x2*x3^4*x4^3, x1*x2, x1*x3^3, x3^2, x4^2 ] [ x1*x2*x3*x4^3, x1*x2*x3^3, x3^3, x3^2, x4^2 ] [ x2*x3^4*x4^3, x2, x1, x1*x3^3, x3^2 ] [ x2*x3^4*x4^3, x2, x1, x1*x3^3, x4^2 ] [ x4^3, x1*x3*x1*x3*x1*x3, x3*x1*x3, x4^2, x1*x3*x1*x3 ] [ x4^3, x1*x3*x1*x3*x1*x3, x2*x3*x1*x3, x4^2, x1*x3*x1*x3 ] [ x4^3, x1*x3*x1*x3*x1*x3, x2, x4^2, x1*x3*x1*x3 ] [ x4^3, x3*x1*x3, x2*x3*x1*x3, x4^2, x1*x3*x1*x3 ] [ x4^3, x1*x2*x3*x1, x3*x1*x3, x4^2, x1*x3*x1*x3 ] [ x4^3, x1*x3*x1, x2*x3*x1*x3, x4^2, x1*x3*x1*x3 ] [ x4^3, x1*x2*x3*x1, x2, x4^2, x1*x3*x1*x3 ] [ x1*x3*x1*x3*x1*x3, x3*x1*x3, x2*x3*x1*x3, x4^2, x1*x3*x1*x3 ] [ x2*x3*x1*x3*x4^3, x1*x3*x1*x3*x1*x3, x3*x1*x3, x4^2, x1*x3*x1*x3 ] [ x3*x1*x3*x4^3, x1*x3*x1*x3*x1*x3, x2*x3*x1*x3, x4^2, x1*x3*x1*x3 ] [ x2*x3*x1*x3*x4^3, x1*x3*x1*x3*x1*x3, x2, x4^2, x1*x3*x1*x3 ] [ x1*x3*x1*x3*x1*x3*x4^3, x3*x1*x3, x2*x3*x1*x3, x4^2, x1*x3*x1*x3 ] [ x2*x3*x1*x3*x4^3, x1*x2*x3*x1, x3*x1*x3, x4^2, x1*x3*x1*x3 ] [ x3*x1*x3*x4^3, x1*x3*x1, x2*x3*x1*x3, x4^2, x1*x3*x1*x3 ] [ x2*x3*x1*x3*x4^3, x1*x2*x3*x1, x2, x4^2, x1*x3*x1*x3 ] [ x4^3, x1*x3*x1*x3*x1*x3, x3*x1*x3, x2*x3*x1*x3, x4^2 ] [ x4^3, x1*x3*x1*x3*x1*x3, x3*x1*x3, x2*x3*x1*x3, x1*x3*x1*x3 ] [ x1*x4^3, x2*x3, x2, x1*x4*x1*x4, x2*x4*x2*x4 ] [ x1*x4^3, x2*x3, x1, x1*x4*x1*x4, x2*x4*x2*x4 ] [ x1*x4^3, x2*x3, x1*x2, x1*x4*x1*x4, x2*x4*x2*x4 ] [ x1*x4^3, x2, x1, x1*x4*x1*x4, x2*x4*x2*x4 ] [ x1*x4^3, x1*x2*x3, x2, x1*x4*x1*x4, x2*x4*x2*x4 ] [ x1*x4^3, x3, x1, x1*x4*x1*x4, x2*x4*x2*x4 ] [ x1*x4^3, x1*x2*x3, x1*x2, x1*x4*x1*x4, x2*x4*x2*x4 ] [ x2*x3, x2, x1, x1*x4*x1*x4, x2*x4*x2*x4 ] [ x4^3, x2*x3, x2, x1*x4*x1*x4, x2*x4*x2*x4 ] [ x1*x2*x4^3, x2*x3, x1, x1*x4*x1*x4, x2*x4*x2*x4 ] [ x4^3, x2*x3, x1*x2, x1*x4*x1*x4, x2*x4*x2*x4 ] [ x1*x2*x3*x4^3, x2, x1, x1*x4*x1*x4, x2*x4*x2*x4 ] [ x4^3, x1*x2*x3, x2, x1*x4*x1*x4, x2*x4*x2*x4 ] [ x1*x2*x4^3, x3, x1, x1*x4*x1*x4, x2*x4*x2*x4 ] [ x4^3, x1*x2*x3, x1*x2, x1*x4*x1*x4, x2*x4*x2*x4 ] [ x1*x4^3, x2*x3, x2, x1, x1*x4*x1*x4 ] [ x1*x4^3, x2*x3, x2, x1, x2*x4*x2*x4 ] [ x4^3, x2*x3*x1, x1*x3^2, x4^2, x3^2 ] [ x4^3, x2*x3*x1, x1*x2*x3^2, x4^2, x3^2 ] [ x4^3, x2*x3*x1, x2, x4^2, x3^2 ] [ x4^3, x1*x3^2, x1*x2*x3^2, x4^2, x3^2 ] [ x4^3, x3^3, x1*x3^2, x4^2, x3^2 ] [ x4^3, x2*x3^3, x1*x2*x3^2, x4^2, x3^2 ] [ x4^3, x3^3, x2, x4^2, x3^2 ] [ x2*x3*x1, x1*x3^2, x1*x2*x3^2, x4^2, x3^2 ] [ x1*x2*x3^2*x4^3, x2*x3*x1, x1*x3^2, x4^2, x3^2 ] [ x1*x3^2*x4^3, x2*x3*x1, x1*x2*x3^2, x4^2, x3^2 ] [ x1*x2*x3^2*x4^3, x2*x3*x1, x2, x4^2, x3^2 ] [ x2*x3*x1*x4^3, x1*x3^2, x1*x2*x3^2, x4^2, x3^2 ] [ x1*x2*x3^2*x4^3, x3^3, x1*x3^2, x4^2, x3^2 ] [ x1*x3^2*x4^3, x2*x3^3, x1*x2*x3^2, x4^2, x3^2 ] [ x1*x2*x3^2*x4^3, x3^3, x2, x4^2, x3^2 ] [ x4^3, x2*x3*x1, x1*x3^2, x1*x2*x3^2, x4^2 ] [ x4^3, x2*x3*x1, x1*x3^2, x1*x2*x3^2, x3^2 ] [ x2*x3^4*x4^3, x2, x1, x3^2, x4^2 ] [ x2*x3^4*x4^3, x2, x1*x3^2*x4^2*x3, x3^2, x4^2 ] [ x2*x3^4*x4^3, x2, x3^2*x4^2*x3, x3^2, x4^2 ] [ x2*x3^4*x4^3, x1, x1*x3^2*x4^2*x3, x3^2, x4^2 ] [ x2*x3^4*x4^3, x1*x2*x3^2*x4^2*x3, x1, x3^2, x4^2 ] [ x2*x3^4*x4^3, x1*x2, x1*x3^2*x4^2*x3, x3^2, x4^2 ] [ x2*x3^4*x4^3, x1*x2*x3^2*x4^2*x3, x3^2*x4^2*x3, x3^2, x4^2 ] [ x2, x1, x1*x3^2*x4^2*x3, x3^2, x4^2 ] [ x1*x2*x3*x4, x2, x1, x3^2, x4^2 ] [ x1*x2*x3^4*x4^3, x2, x1*x3^2*x4^2*x3, x3^2, x4^2 ] [ x1*x2*x3*x4, x2, x3^2*x4^2*x3, x3^2, x4^2 ] [ x3^4*x4^3, x1, x1*x3^2*x4^2*x3, x3^2, x4^2 ] [ x1*x2*x3*x4, x1*x2*x3^2*x4^2*x3, x1, x3^2, x4^2 ] [ x1*x2*x3^4*x4^3, x1*x2, x1*x3^2*x4^2*x3, x3^2, x4^2 ] [ x1*x2*x3*x4, x1*x2*x3^2*x4^2*x3, x3^2*x4^2*x3, x3^2, x4^2 ] [ x2*x3^4*x4^3, x2, x1, x1*x3^2*x4^2*x3, x4^2 ] [ x2*x3^4*x4^3, x2, x1, x1*x3^2*x4^2*x3, x3^2 ] [ x4^3, x3*x4*x1*x4*x1, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4^3, x3*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4^3, x3*x4*x1*x4*x1, x1*x2*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4^3, x2, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4^3, x2*x3*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4^3, x1*x3, x1*x2*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x3*x4*x1*x4*x1, x2, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x3*x4*x1*x4*x1, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x4^3, x3*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x3*x4*x1*x4*x1, x1*x2*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x3*x4*x1*x4*x1*x4^3, x2, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x4^3, x2*x3*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x1*x3, x1*x2*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4^3, x3*x4*x1*x4*x1, x2, x1*x4*x1*x4*x1, x1*x4*x1*x4 ] [ x4^3, x3*x4*x1*x4*x1, x2, x1*x4*x1*x4*x1, x1*x4^2*x1 ] [ x3^4*x4^3, x1*x2, x1, x3^4, x4^2 ] [ x3^4*x4^3, x1*x2, x3^3*x4^2, x3^4, x4^2 ] [ x3^4*x4^3, x1*x2, x1*x3^3*x4^2, x3^4, x4^2 ] [ x3^4*x4^3, x1, x3^3*x4^2, x3^4, x4^2 ] [ x3^4*x4^3, x1*x2*x3^3*x4^2, x1, x3^4, x4^2 ] [ x3^4*x4^3, x2, x3^3*x4^2, x3^4, x4^2 ] [ x3^4*x4^3, x1*x2*x3^3*x4^2, x1*x3^3*x4^2, x3^4, x4^2 ] [ x1*x2, x1, x3^3*x4^2, x3^4, x4^2 ] [ x3^2*x4*x3, x1*x2, x1, x3^4, x4^2 ] [ x1*x3^4*x4^3, x1*x2, x3^3*x4^2, x3^4, x4^2 ] [ x3^2*x4*x3, x1*x2, x1*x3^3*x4^2, x3^4, x4^2 ] [ x1*x2*x3^4*x4^3, x1, x3^3*x4^2, x3^4, x4^2 ] [ x3^2*x4*x3, x1*x2*x3^3*x4^2, x1, x3^4, x4^2 ] [ x1*x3^4*x4^3, x2, x3^3*x4^2, x3^4, x4^2 ] [ x3^2*x4*x3, x1*x2*x3^3*x4^2, x1*x3^3*x4^2, x3^4, x4^2 ] [ x3^4*x4^3, x1*x2, x1, x3^3*x4^2, x4^2 ] [ x3^4*x4^3, x1*x2, x1, x3^3*x4^2, x3^4 ] [ x4^3, x3*x4*x1*x4*x1, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4^3, x3*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4^3, x3*x4*x1*x4*x1, x1*x2*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4^3, x2, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4^3, x2*x3*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4^3, x1*x3, x1*x2*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x3*x4*x1*x4*x1, x2, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x3*x4*x1*x4*x1, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x4^3, x3*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x3*x4*x1*x4*x1, x1*x2*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x3*x4*x1*x4*x1*x4^3, x2, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x4^3, x2*x3*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x1*x3, x1*x2*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4^3, x3*x4*x1*x4*x1, x2, x1*x4*x1*x4*x1, x1*x4^2*x1 ] [ x4^3, x3*x4*x1*x4*x1, x2, x1*x4*x1*x4*x1, x1*x4*x1*x4 ] [ x4^3, x3, x1*x2*x1, x4^2, x1*x2*x1*x2 ] [ x4^3, x3, x2*x1*x2, x4^2, x1*x2*x1*x2 ] [ x4^3, x3, x1*x2*x1*x2*x1*x2, x4^2, x1*x2*x1*x2 ] [ x4^3, x1*x2*x1, x2*x1*x2, x4^2, x1*x2*x1*x2 ] [ x4^3, x2*x1*x2*x3, x1*x2*x1, x4^2, x1*x2*x1*x2 ] [ x4^3, x1*x2*x1*x3, x2*x1*x2, x4^2, x1*x2*x1*x2 ] [ x4^3, x2*x1*x2*x3, x1*x2*x1*x2*x1*x2, x4^2, x1*x2*x1*x2 ] [ x3, x1*x2*x1, x2*x1*x2, x4^2, x1*x2*x1*x2 ] [ x2*x1*x2*x4^3, x3, x1*x2*x1, x4^2, x1*x2*x1*x2 ] [ x1*x2*x1*x4^3, x3, x2*x1*x2, x4^2, x1*x2*x1*x2 ] [ x2*x1*x2*x4^3, x3, x1*x2*x1*x2*x1*x2, x4^2, x1*x2*x1*x2 ] [ x3*x4^3, x1*x2*x1, x2*x1*x2, x4^2, x1*x2*x1*x2 ] [ x2*x1*x2*x4^3, x2*x1*x2*x3, x1*x2*x1, x4^2, x1*x2*x1*x2 ] [ x1*x2*x1*x4^3, x1*x2*x1*x3, x2*x1*x2, x4^2, x1*x2*x1*x2 ] [ x2*x1*x2*x4^3, x2*x1*x2*x3, x1*x2*x1*x2*x1*x2, x4^2, x1*x2*x1*x2 ] [ x4^3, x3, x1*x2*x1, x2*x1*x2, x4^2 ] [ x4^3, x3, x1*x2*x1, x2*x1*x2, x1*x2*x1*x2 ] [ x4*x1*x4*x1*x4^3, x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x1*x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x3, x1*x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x4*x1*x4*x1*x4^3, x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x3*x4*x1*x4*x1*x4^3, x1*x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x4*x1*x4*x1*x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x3, x1*x2, x1, x1*x4^2*x1 ] [ x4*x1*x4*x1*x4^3, x3, x1*x2, x1, x1*x4*x1*x4 ] [ x4^3, x4*x1*x3*x4*x1, x1*x3*x4*x1*x3*x4*x1, x1*x4*x1*x4, x1*x3*x4*x1*x3*x4 ] [ x4^3, x4*x1*x3*x4*x1, x2, x1*x4*x1*x4, x1*x3*x4*x1*x3*x4 ] [ x4^3, x4*x1*x3*x4*x1, x1*x2*x3*x4*x1*x3*x4*x1, x1*x4*x1*x4, x1*x3*x4*x1*x3*x4 ] [ x4^3, x1*x3*x4*x1*x3*x4*x1, x2, x1*x4*x1*x4, x1*x3*x4*x1*x3*x4 ] [ x4^3, x2*x4*x1*x3*x4*x1, x1*x3*x4*x1*x3*x4*x1, x1*x4*x1*x4, x1*x3*x4*x1*x3*x4 ] [ x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x3*x4*x1*x3*x4 ] [ x4^3, x2*x4*x1*x3*x4*x1, x1*x2*x3*x4*x1*x3*x4*x1, x1*x4*x1*x4, x1*x3*x4*x1*x3*x4 ] [ x4*x1*x3*x4*x1, x1*x3*x4*x1*x3*x4*x1, x2, x1*x4*x1*x4, x1*x3*x4*x1*x3*x4 ] [ x2*x4^3, x4*x1*x3*x4*x1, x1*x3*x4*x1*x3*x4*x1, x1*x4*x1*x4, x1*x3*x4*x1*x3*x4 ] [ x4*x1*x4^2, x4*x1*x3*x4*x1, x2, x1*x4*x1*x4, x1*x3*x4*x1*x3*x4 ] [ x2*x4^3, x4*x1*x3*x4*x1, x1*x2*x3*x4*x1*x3*x4*x1, x1*x4*x1*x4, x1*x3*x4*x1*x3*x4 ] [ x1*x3*x4*x1*x4^2, x1*x3*x4*x1*x3*x4*x1, x2, x1*x4*x1*x4, x1*x3*x4*x1*x3*x4 ] [ x2*x4^3, x2*x4*x1*x3*x4*x1, x1*x3*x4*x1*x3*x4*x1, x1*x4*x1*x4, x1*x3*x4*x1*x3*x4 ] [ x4*x1*x4^2, x1*x3, x2, x1*x4*x1*x4, x1*x3*x4*x1*x3*x4 ] [ x2*x4^3, x2*x4*x1*x3*x4*x1, x1*x2*x3*x4*x1*x3*x4*x1, x1*x4*x1*x4, x1*x3*x4*x1*x3*x4 ] [ x4^3, x4*x1*x3*x4*x1, x1*x3*x4*x1*x3*x4*x1, x2, x1*x3*x4*x1*x3*x4 ] [ x4^3, x4*x1*x3*x4*x1, x1*x3*x4*x1*x3*x4*x1, x2, x1*x4*x1*x4 ] [ x1*x3^5*x4*x3*x4*x3*x4, x2, x1, x3^2, x3*x4*x3*x4 ] [ x1*x3^5*x4*x3*x4*x3*x4, x2, x3^3*x4*x3*x4*x3, x3^2, x3*x4*x3*x4 ] [ x1*x3^5*x4*x3*x4*x3*x4, x2, x1*x3^3*x4*x3*x4*x3, x3^2, x3*x4*x3*x4 ] [ x1*x3^5*x4*x3*x4*x3*x4, x1, x3^3*x4*x3*x4*x3, x3^2, x3*x4*x3*x4 ] [ x1*x3^5*x4*x3*x4*x3*x4, x2*x3^3*x4*x3*x4*x3, x1, x3^2, x3*x4*x3*x4 ] [ x1*x3^5*x4*x3*x4*x3*x4, x1*x2, x3^3*x4*x3*x4*x3, x3^2, x3*x4*x3*x4 ] [ x1*x3^5*x4*x3*x4*x3*x4, x2*x3^3*x4*x3*x4*x3, x1*x3^3*x4*x3*x4*x3, x3^2, x3*x4*x3*x4 ] [ x2, x1, x3^3*x4*x3*x4*x3, x3^2, x3*x4*x3*x4 ] [ x1*x3^2*x4, x2, x1, x3^2, x3*x4*x3*x4 ] [ x3^5*x4*x3*x4*x3*x4, x2, x3^3*x4*x3*x4*x3, x3^2, x3*x4*x3*x4 ] [ x1*x3^2*x4, x2, x1*x3^3*x4*x3*x4*x3, x3^2, x3*x4*x3*x4 ] [ x1*x2*x3^5*x4*x3*x4*x3*x4, x1, x3^3*x4*x3*x4*x3, x3^2, x3*x4*x3*x4 ] [ x1*x3^2*x4, x2*x3^3*x4*x3*x4*x3, x1, x3^2, x3*x4*x3*x4 ] [ x3^5*x4*x3*x4*x3*x4, x1*x2, x3^3*x4*x3*x4*x3, x3^2, x3*x4*x3*x4 ] [ x1*x3^2*x4, x2*x3^3*x4*x3*x4*x3, x1*x3^3*x4*x3*x4*x3, x3^2, x3*x4*x3*x4 ] [ x1*x3^5*x4*x3*x4*x3*x4, x2, x1, x3^3*x4*x3*x4*x3, x3*x4*x3*x4 ] [ x1*x3^5*x4*x3*x4*x3*x4, x2, x1, x3^3*x4*x3*x4*x3, x3^2 ] [ x4*x1*x4*x1*x4^3, x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x1*x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x3, x1*x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x4*x1*x4*x1*x4^3, x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x3*x4*x1*x4*x1*x4^3, x1*x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x4*x1*x4*x1*x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x3, x1*x2, x1, x1*x4^2*x1 ] [ x4*x1*x4*x1*x4^3, x3, x1*x2, x1, x1*x4*x1*x4 ] [ x4*x1*x4*x1*x4^3, x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x1*x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x3, x1*x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x4*x1*x4*x1*x4^3, x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x3*x4*x1*x4*x1*x4^3, x1*x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x4*x1*x4*x1*x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x3, x1*x2, x1, x1*x4^2*x1 ] [ x4*x1*x4*x1*x4^3, x3, x1*x2, x1, x1*x4*x1*x4 ] [ x4^3, x3, x1*x2, x1*x3*x4*x1*x3*x4, x4^2 ] [ x4^3, x3, x1, x1*x3*x4*x1*x3*x4, x4^2 ] [ x4^3, x3, x2, x1*x3*x4*x1*x3*x4, x4^2 ] [ x4^3, x1*x2, x1, x1*x3*x4*x1*x3*x4, x4^2 ] [ x4^3, x1*x3, x1*x2, x1*x3*x4*x1*x3*x4, x4^2 ] [ x4^3, x1*x2*x3, x1, x1*x3*x4*x1*x3*x4, x4^2 ] [ x4^3, x1*x3, x2, x1*x3*x4*x1*x3*x4, x4^2 ] [ x3, x1*x2, x1, x1*x3*x4*x1*x3*x4, x4^2 ] [ x1*x4^3, x3, x1*x2, x1*x3*x4*x1*x3*x4, x4^2 ] [ x1*x2*x4^3, x3, x1, x1*x3*x4*x1*x3*x4, x4^2 ] [ x1*x4^3, x3, x2, x1*x3*x4*x1*x3*x4, x4^2 ] [ x3*x4^3, x1*x2, x1, x1*x3*x4*x1*x3*x4, x4^2 ] [ x1*x4^3, x1*x3, x1*x2, x1*x3*x4*x1*x3*x4, x4^2 ] [ x1*x2*x4^3, x1*x2*x3, x1, x1*x3*x4*x1*x3*x4, x4^2 ] [ x1*x4^3, x1*x3, x2, x1*x3*x4*x1*x3*x4, x4^2 ] [ x4^3, x3, x1*x2, x1, x1*x3*x4*x3*x4*x1 ] [ x4^3, x3, x1*x2, x1, x1*x3*x4*x1*x3*x4 ] [ x4^3, x3*x4*x1*x4*x1, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4^3, x3*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4^3, x3*x4*x1*x4*x1, x1*x2*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4^3, x2, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4^3, x2*x3*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4^3, x1*x3, x1*x2*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x3*x4*x1*x4*x1, x2, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x3*x4*x1*x4*x1, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x4^3, x3*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x3*x4*x1*x4*x1, x1*x2*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x3*x4*x1*x4*x1*x4^3, x2, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x4^3, x2*x3*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x1*x3, x1*x2*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4^3, x3*x4*x1*x4*x1, x2, x1*x4*x1*x4*x1, x1*x4*x1*x4 ] [ x4^3, x3*x4*x1*x4*x1, x2, x1*x4*x1*x4*x1, x1*x4^2*x1 ] [ x3^2*x4, x1*x2*x3*x2*x3*x2*x3, x1*x3^2*x2, x2*x3^2*x2, x2*x3*x2*x3^3 ] [ x3^2*x4, x1*x2*x3*x2*x3*x2*x3, x1, x2*x3^2*x2, x2*x3*x2*x3^3 ] [ x3^2*x4, x1*x2*x3*x2*x3*x2*x3, x3^2*x2, x2*x3^2*x2, x2*x3*x2*x3^3 ] [ x3^2*x4, x1*x3^2*x2, x1, x2*x3^2*x2, x2*x3*x2*x3^3 ] [ x3^2*x4, x2*x3*x2*x3*x2*x3, x1*x3^2*x2, x2*x3^2*x2, x2*x3*x2*x3^3 ] [ x3^2*x4, x3*x2*x3*x2*x3^3, x1, x2*x3^2*x2, x2*x3*x2*x3^3 ] [ x3^2*x4, x2*x3*x2*x3*x2*x3, x3^2*x2, x2*x3^2*x2, x2*x3*x2*x3^3 ] [ x1*x2*x3*x2*x3*x2*x3, x1*x3^2*x2, x1, x2*x3^2*x2, x2*x3*x2*x3^3 ] [ x1*x3^2*x4, x1*x2*x3*x2*x3*x2*x3, x1*x3^2*x2, x2*x3^2*x2, x2*x3*x2*x3^3 ] [ x1*x2*x4, x1*x2*x3*x2*x3*x2*x3, x1, x2*x3^2*x2, x2*x3*x2*x3^3 ] [ x1*x3^2*x4, x1*x2*x3*x2*x3*x2*x3, x3^2*x2, x2*x3^2*x2, x2*x3*x2*x3^3 ] [ x1*x2*x3*x2*x3*x2*x3^3*x4, x1*x3^2*x2, x1, x2*x3^2*x2, x2*x3*x2*x3^3 ] [ x1*x3^2*x4, x2*x3*x2*x3*x2*x3, x1*x3^2*x2, x2*x3^2*x2, x2*x3*x2*x3^3 ] [ x1*x2*x4, x3*x2*x3*x2*x3^3, x1, x2*x3^2*x2, x2*x3*x2*x3^3 ] [ x1*x3^2*x4, x2*x3*x2*x3*x2*x3, x3^2*x2, x2*x3^2*x2, x2*x3*x2*x3^3 ] [ x3^2*x4, x1*x2*x3*x2*x3*x2*x3, x1*x3^2*x2, x1, x2*x3^2*x2 ] [ x3^2*x4, x1*x2*x3*x2*x3*x2*x3, x1*x3^2*x2, x1, x2*x3*x2*x3 ] [ x1*x3^3*x4^3, x3^3, x2, x3^2, x4^2 ] [ x1*x3^3*x4^3, x3^3, x1, x3^2, x4^2 ] [ x1*x3^3*x4^3, x3^3, x1*x2, x3^2, x4^2 ] [ x1*x3^3*x4^3, x2, x1, x3^2, x4^2 ] [ x1*x3^3*x4^3, x1*x3^3, x2, x3^2, x4^2 ] [ x1*x3^3*x4^3, x2*x3^3, x1, x3^2, x4^2 ] [ x1*x3^3*x4^3, x1*x3^3, x1*x2, x3^2, x4^2 ] [ x3^3, x2, x1, x3^2, x4^2 ] [ x3^3*x4^3, x3^3, x2, x3^2, x4^2 ] [ x1*x2*x3^3*x4^3, x3^3, x1, x3^2, x4^2 ] [ x3^3*x4^3, x3^3, x1*x2, x3^2, x4^2 ] [ x1*x4^3, x2, x1, x3^2, x4^2 ] [ x3^3*x4^3, x1*x3^3, x2, x3^2, x4^2 ] [ x1*x2*x3^3*x4^3, x2*x3^3, x1, x3^2, x4^2 ] [ x3^3*x4^3, x1*x3^3, x1*x2, x3^2, x4^2 ] [ x1*x3^3*x4^3, x3^3, x2, x1, x3^2 ] [ x1*x3^3*x4^3, x3^3, x2, x1, x4^2 ] [ x1*x3^3*x4^3, x3^3, x2, x1, x3^2*x1*x4^2*x1 ] [ x1*x3^3*x4^3, x3^3, x2, x1, x3^2*x4^2 ] [ x1*x4*x1*x4*x1*x4, x1*x3^3, x2, x1*x4*x1*x4, x3^2 ] [ x1*x4*x1*x4*x1*x4, x1*x3^3, x1, x1*x4*x1*x4, x3^2 ] [ x1*x4*x1*x4*x1*x4, x1*x3^3, x1*x2, x1*x4*x1*x4, x3^2 ] [ x1*x4*x1*x4*x1*x4, x2, x1, x1*x4*x1*x4, x3^2 ] [ x1*x4*x1*x4*x1*x4, x3^3, x2, x1*x4*x1*x4, x3^2 ] [ x1*x4*x1*x4*x1*x4, x1*x2*x3^3, x1, x1*x4*x1*x4, x3^2 ] [ x1*x4*x1*x4*x1*x4, x3^3, x1*x2, x1*x4*x1*x4, x3^2 ] [ x1*x3^3, x2, x1, x1*x4*x1*x4, x3^2 ] [ x4*x1*x4*x1*x4, x1*x3^3, x2, x1*x4*x1*x4, x3^2 ] [ x1*x2*x4*x1*x4*x1*x4, x1*x3^3, x1, x1*x4*x1*x4, x3^2 ] [ x4*x1*x4*x1*x4, x1*x3^3, x1*x2, x1*x4*x1*x4, x3^2 ] [ x3^3*x4*x1*x4*x1*x4, x2, x1, x1*x4*x1*x4, x3^2 ] [ x4*x1*x4*x1*x4, x3^3, x2, x1*x4*x1*x4, x3^2 ] [ x1*x2*x4*x1*x4*x1*x4, x1*x2*x3^3, x1, x1*x4*x1*x4, x3^2 ] [ x4*x1*x4*x1*x4, x3^3, x1*x2, x1*x4*x1*x4, x3^2 ] [ x1*x4*x1*x4*x1*x4, x1*x3^3, x2, x1, x1*x4*x1*x4 ] [ x1*x4*x1*x4*x1*x4, x1*x3^3, x2, x1, x3^2 ] [ x1*x4*x1*x4*x1*x4, x1*x3^3, x2, x1, x1*x3^2*x4*x1*x4 ] [ x1*x4*x1*x4*x1*x4, x1*x3^3, x2, x1, x3^2*x1*x4*x1*x4 ] [ x4, x2, x1*x3^3*x4*x1*x4*x1, x3^2, x1*x4*x1*x4 ] [ x4, x2, x3^3, x3^2, x1*x4*x1*x4 ] [ x4, x2, x1*x4*x1*x4*x1, x3^2, x1*x4*x1*x4 ] [ x4, x1*x3^3*x4*x1*x4*x1, x3^3, x3^2, x1*x4*x1*x4 ] [ x4, x2*x3^3, x1*x3^3*x4*x1*x4*x1, x3^2, x1*x4*x1*x4 ] [ x4, x1*x2*x3^3*x4*x1*x4*x1, x3^3, x3^2, x1*x4*x1*x4 ] [ x4, x2*x3^3, x1*x4*x1*x4*x1, x3^2, x1*x4*x1*x4 ] [ x2, x1*x3^3*x4*x1*x4*x1, x3^3, x3^2, x1*x4*x1*x4 ] [ x3^3*x4, x2, x1*x3^3*x4*x1*x4*x1, x3^2, x1*x4*x1*x4 ] [ x1*x3^3*x4*x1*x4*x1*x4, x2, x3^3, x3^2, x1*x4*x1*x4 ] [ x3^3*x4, x2, x1*x4*x1*x4*x1, x3^2, x1*x4*x1*x4 ] [ x2*x4, x1*x3^3*x4*x1*x4*x1, x3^3, x3^2, x1*x4*x1*x4 ] [ x3^3*x4, x2*x3^3, x1*x3^3*x4*x1*x4*x1, x3^2, x1*x4*x1*x4 ] [ x1*x3^3*x4*x1*x4*x1*x4, x1*x2*x3^3*x4*x1*x4*x1, x3^3, x3^2, x1*x4*x1*x4 ] [ x3^3*x4, x2*x3^3, x1*x4*x1*x4*x1, x3^2, x1*x4*x1*x4 ] [ x4, x2, x1*x3^3*x4*x1*x4*x1, x3^3, x3^2 ] [ x4, x2, x1*x3^3*x4*x1*x4*x1, x3^3, x1*x4*x1*x4 ] [ x1*x3^2*x4^3, x3^2*x1*x4^2*x3, x1*x3^2, x4^2, x3^2 ] [ x1*x3^2*x4^3, x3^2*x1*x4^2*x3, x2, x4^2, x3^2 ] [ x1*x3^2*x4^3, x3^2*x1*x4^2*x3, x1*x2*x3^2, x4^2, x3^2 ] [ x1*x3^2*x4^3, x1*x3^2, x2, x4^2, x3^2 ] [ x1*x3^2*x4^3, x2*x3^2*x1*x4^2*x3, x1*x3^2, x4^2, x3^2 ] [ x1*x3^2*x4^3, x3^2*x4^2*x3, x2, x4^2, x3^2 ] [ x1*x3^2*x4^3, x2*x3^2*x1*x4^2*x3, x1*x2*x3^2, x4^2, x3^2 ] [ x3^2*x1*x4^2*x3, x1*x3^2, x2, x4^2, x3^2 ] [ x1*x2*x3^2*x4^3, x3^2*x1*x4^2*x3, x1*x3^2, x4^2, x3^2 ] [ x4^3, x3^2*x1*x4^2*x3, x2, x4^2, x3^2 ] [ x1*x2*x3^2*x4^3, x3^2*x1*x4^2*x3, x1*x2*x3^2, x4^2, x3^2 ] [ x3^3*x4, x1*x3^2, x2, x4^2, x3^2 ] [ x1*x2*x3^2*x4^3, x2*x3^2*x1*x4^2*x3, x1*x3^2, x4^2, x3^2 ] [ x4^3, x3^2*x4^2*x3, x2, x4^2, x3^2 ] [ x1*x2*x3^2*x4^3, x2*x3^2*x1*x4^2*x3, x1*x2*x3^2, x4^2, x3^2 ] [ x1*x3^2*x4^3, x3^2*x1*x4^2*x3, x1*x3^2, x2, x4^2 ] [ x1*x3^2*x4^3, x3^2*x1*x4^2*x3, x1*x3^2, x2, x3^2 ] [ x4*x1*x4*x1*x4^3, x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x1*x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x3, x1*x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x4*x1*x4*x1*x4^3, x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x3*x4*x1*x4*x1*x4^3, x1*x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x4*x1*x4*x1*x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x3, x1*x2, x1, x1*x4^2*x1 ] [ x4*x1*x4*x1*x4^3, x3, x1*x2, x1, x1*x4*x1*x4 ] [ x1*x4*x1*x4*x1*x4^3, x3, x1*x2, x1*x4^2*x1, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x3, x1, x1*x4^2*x1, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x3, x2, x1*x4^2*x1, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x1*x2, x1, x1*x4^2*x1, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x1*x3, x1*x2, x1*x4^2*x1, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x1*x2*x3, x1, x1*x4^2*x1, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x1*x3, x2, x1*x4^2*x1, x1*x4*x1*x4^3 ] [ x3, x1*x2, x1, x1*x4^2*x1, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x3, x1*x2, x1*x4^2*x1, x1*x4*x1*x4^3 ] [ x2*x4*x1*x4*x1*x4^3, x3, x1, x1*x4^2*x1, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x3, x2, x1*x4^2*x1, x1*x4*x1*x4^3 ] [ x1*x3*x4*x1*x4*x1*x4^3, x1*x2, x1, x1*x4^2*x1, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x1*x3, x1*x2, x1*x4^2*x1, x1*x4*x1*x4^3 ] [ x2*x4*x1*x4*x1*x4^3, x1*x2*x3, x1, x1*x4^2*x1, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x1*x3, x2, x1*x4^2*x1, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x3, x1*x2, x1, x1*x4*x1*x4 ] [ x1*x4*x1*x4*x1*x4^3, x3, x1*x2, x1, x1*x4^2*x1 ] [ x1*x2*x4*x2*x4*x2*x4, x3, x4^2*x2, x2*x4^2*x2, x2*x4*x2*x4^3 ] [ x1*x2*x4*x2*x4*x2*x4, x3, x1, x2*x4^2*x2, x2*x4*x2*x4^3 ] [ x1*x2*x4*x2*x4*x2*x4, x3, x1*x4^2*x2, x2*x4^2*x2, x2*x4*x2*x4^3 ] [ x1*x2*x4*x2*x4*x2*x4, x4^2*x2, x1, x2*x4^2*x2, x2*x4*x2*x4^3 ] [ x1*x2*x4*x2*x4*x2*x4, x1*x3, x4^2*x2, x2*x4^2*x2, x2*x4*x2*x4^3 ] [ x1*x2*x4*x2*x4*x2*x4, x3*x4^2*x2, x1, x2*x4^2*x2, x2*x4*x2*x4^3 ] [ x1*x2*x4*x2*x4*x2*x4, x1*x3, x1*x4^2*x2, x2*x4^2*x2, x2*x4*x2*x4^3 ] [ x3, x4^2*x2, x1, x2*x4^2*x2, x2*x4*x2*x4^3 ] [ x2*x4*x2*x4*x2*x4, x3, x4^2*x2, x2*x4^2*x2, x2*x4*x2*x4^3 ] [ x1*x4*x2*x4*x2*x4^3, x3, x1, x2*x4^2*x2, x2*x4*x2*x4^3 ] [ x2*x4*x2*x4*x2*x4, x3, x1*x4^2*x2, x2*x4^2*x2, x2*x4*x2*x4^3 ] [ x1*x2*x3*x4*x2*x4*x2*x4, x4^2*x2, x1, x2*x4^2*x2, x2*x4*x2*x4^3 ] [ x2*x4*x2*x4*x2*x4, x1*x3, x4^2*x2, x2*x4^2*x2, x2*x4*x2*x4^3 ] [ x1*x4*x2*x4*x2*x4^3, x3*x4^2*x2, x1, x2*x4^2*x2, x2*x4*x2*x4^3 ] [ x2*x4*x2*x4*x2*x4, x1*x3, x1*x4^2*x2, x2*x4^2*x2, x2*x4*x2*x4^3 ] [ x1*x2*x4*x2*x4*x2*x4, x3, x4^2*x2, x1, x2*x4*x2*x4 ] [ x1*x2*x4*x2*x4*x2*x4, x3, x4^2*x2, x1, x2*x4^2*x2 ] [ x2*x4^3*x2, x3, x4*x2*x4, x2*x4*x2*x4, x2*x4*x2*x4^3 ] [ x2*x4^3*x2, x3, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ] [ x2*x4^3*x2, x3, x1*x4*x2*x4, x2*x4*x2*x4, x2*x4*x2*x4^3 ] [ x2*x4^3*x2, x4*x2*x4, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ] [ x2*x4^3*x2, x1*x3, x4*x2*x4, x2*x4*x2*x4, x2*x4*x2*x4^3 ] [ x2*x4^3*x2, x3*x4*x2*x4, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ] [ x2*x4^3*x2, x1*x3, x1*x4*x2*x4, x2*x4*x2*x4, x2*x4*x2*x4^3 ] [ x3, x4*x2*x4, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ] [ x1*x2*x4^3*x2, x3, x4*x2*x4, x2*x4*x2*x4, x2*x4*x2*x4^3 ] [ x2*x4*x2*x4*x2*x4^3, x3, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ] [ x1*x2*x4^3*x2, x3, x1*x4*x2*x4, x2*x4*x2*x4, x2*x4*x2*x4^3 ] [ x2*x3*x4^3*x2, x4*x2*x4, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ] [ x1*x2*x4^3*x2, x1*x3, x4*x2*x4, x2*x4*x2*x4, x2*x4*x2*x4^3 ] [ x2*x4*x2*x4*x2*x4^3, x3*x4*x2*x4, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ] [ x1*x2*x4^3*x2, x1*x3, x1*x4*x2*x4, x2*x4*x2*x4, x2*x4*x2*x4^3 ] [ x2*x4^3*x2, x3, x4*x2*x4, x1, x2*x4^2*x2 ] [ x2*x4^3*x2, x3, x4*x2*x4, x1, x2*x4*x2*x4 ] [ x2*x3^4*x4^3, x2, x1, x3^2, x4^2 ] [ x2*x3^4*x4^3, x2, x1*x3^2*x4^2*x3, x3^2, x4^2 ] [ x2*x3^4*x4^3, x2, x3^2*x4^2*x3, x3^2, x4^2 ] [ x2*x3^4*x4^3, x1, x1*x3^2*x4^2*x3, x3^2, x4^2 ] [ x2*x3^4*x4^3, x1*x2*x3^2*x4^2*x3, x1, x3^2, x4^2 ] [ x2*x3^4*x4^3, x1*x2, x1*x3^2*x4^2*x3, x3^2, x4^2 ] [ x2*x3^4*x4^3, x1*x2*x3^2*x4^2*x3, x3^2*x4^2*x3, x3^2, x4^2 ] [ x2, x1, x1*x3^2*x4^2*x3, x3^2, x4^2 ] [ x1*x2*x3*x4, x2, x1, x3^2, x4^2 ] [ x1*x2*x3^4*x4^3, x2, x1*x3^2*x4^2*x3, x3^2, x4^2 ] [ x1*x2*x3*x4, x2, x3^2*x4^2*x3, x3^2, x4^2 ] [ x3^4*x4^3, x1, x1*x3^2*x4^2*x3, x3^2, x4^2 ] [ x1*x2*x3*x4, x1*x2*x3^2*x4^2*x3, x1, x3^2, x4^2 ] [ x1*x2*x3^4*x4^3, x1*x2, x1*x3^2*x4^2*x3, x3^2, x4^2 ] [ x1*x2*x3*x4, x1*x2*x3^2*x4^2*x3, x3^2*x4^2*x3, x3^2, x4^2 ] [ x2*x3^4*x4^3, x2, x1, x1*x3^2*x4^2*x3, x3^2 ] [ x2*x3^4*x4^3, x2, x1, x1*x3^2*x4^2*x3, x4^2 ] [ x3*x4*x1*x4*x1*x4^3, x1*x2*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x3*x4*x1*x4*x1*x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x3*x4*x1*x4*x1*x4^3, x1*x2*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x3*x4*x1*x4*x1*x4^3, x1*x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x3*x4*x1*x4*x1*x4^3, x2*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x3*x4*x1*x4*x1*x4^3, x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x3*x4*x1*x4*x1*x4^3, x2*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x3, x1*x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x3*x4*x1*x4*x1*x4^3, x1*x2*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x3*x4*x1*x4*x1*x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x3*x4*x1*x4*x1*x4^3, x1*x2*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x4*x1*x4*x1*x4^3, x1*x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x3*x4*x1*x4*x1*x4^3, x2*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x3*x4*x1*x4*x1*x4^3, x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x3*x4*x1*x4*x1*x4^3, x2*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x3*x4*x1*x4*x1*x4^3, x1*x2*x3, x1*x2, x1, x1*x4*x1*x4 ] [ x3*x4*x1*x4*x1*x4^3, x1*x2*x3, x1*x2, x1, x1*x4^2*x1 ] [ x4*x1*x2*x4*x1*x2*x4, x1*x3, x1*x2, x2*x4*x2*x4, x4^2 ] [ x4*x1*x2*x4*x1*x2*x4, x1*x3, x1, x2*x4*x2*x4, x4^2 ] [ x4*x1*x2*x4*x1*x2*x4, x1*x3, x2, x2*x4*x2*x4, x4^2 ] [ x4*x1*x2*x4*x1*x2*x4, x1*x2, x1, x2*x4*x2*x4, x4^2 ] [ x4*x1*x2*x4*x1*x2*x4, x3, x1*x2, x2*x4*x2*x4, x4^2 ] [ x4*x1*x2*x4*x1*x2*x4, x2*x3, x1, x2*x4*x2*x4, x4^2 ] [ x4*x1*x2*x4*x1*x2*x4, x3, x2, x2*x4*x2*x4, x4^2 ] [ x1*x3, x1*x2, x1, x2*x4*x2*x4, x4^2 ] [ x1*x4*x1*x2*x4*x1*x2*x4, x1*x3, x1*x2, x2*x4*x2*x4, x4^2 ] [ x1*x2*x4*x1*x2*x4*x1*x2*x4, x1*x3, x1, x2*x4*x2*x4, x4^2 ] [ x1*x4*x1*x2*x4*x1*x2*x4, x1*x3, x2, x2*x4*x2*x4, x4^2 ] [ x1*x3*x4*x1*x2*x4*x1*x2*x4, x1*x2, x1, x2*x4*x2*x4, x4^2 ] [ x1*x4*x1*x2*x4*x1*x2*x4, x3, x1*x2, x2*x4*x2*x4, x4^2 ] [ x1*x2*x4*x1*x2*x4*x1*x2*x4, x2*x3, x1, x2*x4*x2*x4, x4^2 ] [ x1*x4*x1*x2*x4*x1*x2*x4, x3, x2, x2*x4*x2*x4, x4^2 ] [ x4*x1*x2*x4*x1*x2*x4, x1*x3, x1*x2, x1, x2*x4*x2*x4 ] [ x4*x1*x2*x4*x1*x2*x4, x1*x3, x1*x2, x1, x4^2 ] [ x1*x4*x1*x4*x1*x4, x3^3, x1*x2, x1*x4*x1*x4, x3^2 ] [ x1*x4*x1*x4*x1*x4, x3^3, x1, x1*x4*x1*x4, x3^2 ] [ x1*x4*x1*x4*x1*x4, x3^3, x2, x1*x4*x1*x4, x3^2 ] [ x1*x4*x1*x4*x1*x4, x1*x2, x1, x1*x4*x1*x4, x3^2 ] [ x1*x4*x1*x4*x1*x4, x1*x3^3, x1*x2, x1*x4*x1*x4, x3^2 ] [ x1*x4*x1*x4*x1*x4, x1*x2*x3^3, x1, x1*x4*x1*x4, x3^2 ] [ x1*x4*x1*x4*x1*x4, x1*x3^3, x2, x1*x4*x1*x4, x3^2 ] [ x3^3, x1*x2, x1, x1*x4*x1*x4, x3^2 ] [ x4*x1*x4*x1*x4, x3^3, x1*x2, x1*x4*x1*x4, x3^2 ] [ x2*x4*x1*x4*x1*x4, x3^3, x1, x1*x4*x1*x4, x3^2 ] [ x4*x1*x4*x1*x4, x3^3, x2, x1*x4*x1*x4, x3^2 ] [ x1*x3^3*x4*x1*x4*x1*x4, x1*x2, x1, x1*x4*x1*x4, x3^2 ] [ x4*x1*x4*x1*x4, x1*x3^3, x1*x2, x1*x4*x1*x4, x3^2 ] [ x2*x4*x1*x4*x1*x4, x1*x2*x3^3, x1, x1*x4*x1*x4, x3^2 ] [ x4*x1*x4*x1*x4, x1*x3^3, x2, x1*x4*x1*x4, x3^2 ] [ x1*x4*x1*x4*x1*x4, x3^3, x1*x2, x1, x1*x4*x1*x4 ] [ x1*x4*x1*x4*x1*x4, x3^3, x1*x2, x1, x3^2 ] [ x1*x4*x1*x4*x1*x4, x3^3, x1*x2, x1, x1*x3^2*x4*x1*x4 ] [ x1*x4*x1*x4*x1*x4, x3^3, x1*x2, x1, x3^2*x1*x4*x1*x4 ] [ x3*x4*x1*x4*x1*x4, x2^2*x3, x2^3, x1*x4*x1*x4, x2^2 ] [ x3*x4*x1*x4*x1*x4, x2^2*x3, x2^2*x1, x1*x4*x1*x4, x2^2 ] [ x3*x4*x1*x4*x1*x4, x2^2*x3, x1*x2, x1*x4*x1*x4, x2^2 ] [ x3*x4*x1*x4*x1*x4, x2^3, x2^2*x1, x1*x4*x1*x4, x2^2 ] [ x3*x4*x1*x4*x1*x4, x1*x3, x2^3, x1*x4*x1*x4, x2^2 ] [ x3*x4*x1*x4*x1*x4, x1*x2*x1*x3, x2^2*x1, x1*x4*x1*x4, x2^2 ] [ x3*x4*x1*x4*x1*x4, x1*x3, x1*x2, x1*x4*x1*x4, x2^2 ] [ x2^2*x3, x2^3, x2^2*x1, x1*x4*x1*x4, x2^2 ] [ x2^2*x1*x3*x4*x1*x4*x1*x4, x2^2*x3, x2^3, x1*x4*x1*x4, x2^2 ] [ x2^3*x3*x4*x1*x4*x1*x4, x2^2*x3, x2^2*x1, x1*x4*x1*x4, x2^2 ] [ x2^2*x1*x3*x4*x1*x4*x1*x4, x2^2*x3, x1*x2, x1*x4*x1*x4, x2^2 ] [ x2^2*x4*x1*x4*x1*x4, x2^3, x2^2*x1, x1*x4*x1*x4, x2^2 ] [ x2^2*x1*x3*x4*x1*x4*x1*x4, x1*x3, x2^3, x1*x4*x1*x4, x2^2 ] [ x2^3*x3*x4*x1*x4*x1*x4, x1*x2*x1*x3, x2^2*x1, x1*x4*x1*x4, x2^2 ] [ x2^2*x1*x3*x4*x1*x4*x1*x4, x1*x3, x1*x2, x1*x4*x1*x4, x2^2 ] [ x3*x4*x1*x4*x1*x4, x2^2*x3, x2^3, x2^2*x1, x1*x4*x1*x4 ] [ x3*x4*x1*x4*x1*x4, x2^2*x3, x2^3, x2^2*x1, x2^2 ] [ x3*x4*x1*x4*x1*x4, x2^2*x3, x2^3, x2^2*x1, x1*x2^2*x4*x1*x4 ] [ x3*x4*x1*x4*x1*x4, x2^2*x3, x2^3, x2^2*x1, x2^2*x1*x4*x1*x4 ] [ x1*x2*x4^3, x3^3, x2, x3^2, x4^2 ] [ x1*x2*x4^3, x3^3, x1, x3^2, x4^2 ] [ x1*x2*x4^3, x3^3, x1*x2, x3^2, x4^2 ] [ x1*x2*x4^3, x2, x1, x3^2, x4^2 ] [ x1*x2*x4^3, x1*x3^3, x2, x3^2, x4^2 ] [ x1*x2*x4^3, x2*x3^3, x1, x3^2, x4^2 ] [ x1*x2*x4^3, x1*x3^3, x1*x2, x3^2, x4^2 ] [ x3^3, x2, x1, x3^2, x4^2 ] [ x2*x4^3, x3^3, x2, x3^2, x4^2 ] [ x1*x4^3, x3^3, x1, x3^2, x4^2 ] [ x2*x4^3, x3^3, x1*x2, x3^2, x4^2 ] [ x1*x2*x3^3*x4^3, x2, x1, x3^2, x4^2 ] [ x2*x4^3, x1*x3^3, x2, x3^2, x4^2 ] [ x1*x4^3, x2*x3^3, x1, x3^2, x4^2 ] [ x2*x4^3, x1*x3^3, x1*x2, x3^2, x4^2 ] [ x1*x2*x4^3, x3^3, x2, x1, x3^2 ] [ x1*x2*x4^3, x3^3, x2, x1, x4^2 ] [ x1*x2*x4^3, x3^3, x2, x1, x3^2*x1*x4^2*x1 ] [ x1*x2*x4^3, x3^3, x2, x1, x3^2*x4^2 ] [ x4*x1*x4*x1*x4, x3, x2, x3*x4*x3*x4, x1*x4*x1*x4 ] [ x4*x1*x4*x1*x4, x3, x1, x3*x4*x3*x4, x1*x4*x1*x4 ] [ x4*x1*x4*x1*x4, x3, x1*x2, x3*x4*x3*x4, x1*x4*x1*x4 ] [ x4*x1*x4*x1*x4, x2, x1, x3*x4*x3*x4, x1*x4*x1*x4 ] [ x4*x1*x4*x1*x4, x1*x3, x2, x3*x4*x3*x4, x1*x4*x1*x4 ] [ x4*x1*x4*x1*x4, x2*x3, x1, x3*x4*x3*x4, x1*x4*x1*x4 ] [ x4*x1*x4*x1*x4, x1*x3, x1*x2, x3*x4*x3*x4, x1*x4*x1*x4 ] [ x3, x2, x1, x3*x4*x3*x4, x1*x4*x1*x4 ] [ x1*x4*x1*x4*x1*x4, x3, x2, x3*x4*x3*x4, x1*x4*x1*x4 ] [ x2*x4*x1*x4*x1*x4, x3, x1, x3*x4*x3*x4, x1*x4*x1*x4 ] [ x1*x4*x1*x4*x1*x4, x3, x1*x2, x3*x4*x3*x4, x1*x4*x1*x4 ] [ x3*x4*x1*x4*x1*x4, x2, x1, x3*x4*x3*x4, x1*x4*x1*x4 ] [ x1*x4*x1*x4*x1*x4, x1*x3, x2, x3*x4*x3*x4, x1*x4*x1*x4 ] [ x2*x4*x1*x4*x1*x4, x2*x3, x1, x3*x4*x3*x4, x1*x4*x1*x4 ] [ x1*x4*x1*x4*x1*x4, x1*x3, x1*x2, x3*x4*x3*x4, x1*x4*x1*x4 ] [ x4*x1*x4*x1*x4, x3, x2, x1, x3*x4*x3*x4 ] [ x4*x1*x4*x1*x4, x3, x2, x1, x3*x4*x1*x3*x4*x1 ] [ x4*x1*x4*x1*x4^3, x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x3, x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x4*x1*x4*x1*x4^3, x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x3*x4*x1*x4*x1*x4^3, x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x4*x1*x4*x1*x4^3, x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x3, x2, x1, x1*x4*x1*x4 ] [ x4*x1*x4*x1*x4^3, x3, x2, x1, x1*x4^2*x1 ] [ x4*x1*x2*x4*x1*x2*x4, x3, x1*x2, x2*x4*x2*x4, x4^2 ] [ x4*x1*x2*x4*x1*x2*x4, x3, x1, x2*x4*x2*x4, x4^2 ] [ x4*x1*x2*x4*x1*x2*x4, x3, x2, x2*x4*x2*x4, x4^2 ] [ x4*x1*x2*x4*x1*x2*x4, x1*x2, x1, x2*x4*x2*x4, x4^2 ] [ x4*x1*x2*x4*x1*x2*x4, x1*x3, x1*x2, x2*x4*x2*x4, x4^2 ] [ x4*x1*x2*x4*x1*x2*x4, x1*x2*x3, x1, x2*x4*x2*x4, x4^2 ] [ x4*x1*x2*x4*x1*x2*x4, x1*x3, x2, x2*x4*x2*x4, x4^2 ] [ x3, x1*x2, x1, x2*x4*x2*x4, x4^2 ] [ x1*x4*x1*x2*x4*x1*x2*x4, x3, x1*x2, x2*x4*x2*x4, x4^2 ] [ x1*x2*x4*x1*x2*x4*x1*x2*x4, x3, x1, x2*x4*x2*x4, x4^2 ] [ x1*x4*x1*x2*x4*x1*x2*x4, x3, x2, x2*x4*x2*x4, x4^2 ] [ x3*x4*x1*x2*x4*x1*x2*x4, x1*x2, x1, x2*x4*x2*x4, x4^2 ] [ x1*x4*x1*x2*x4*x1*x2*x4, x1*x3, x1*x2, x2*x4*x2*x4, x4^2 ] [ x1*x2*x4*x1*x2*x4*x1*x2*x4, x1*x2*x3, x1, x2*x4*x2*x4, x4^2 ] [ x1*x4*x1*x2*x4*x1*x2*x4, x1*x3, x2, x2*x4*x2*x4, x4^2 ] [ x4*x1*x2*x4*x1*x2*x4, x3, x1*x2, x1, x2*x4*x2*x4 ] [ x4*x1*x2*x4*x1*x2*x4, x3, x1*x2, x1, x4^2 ] [ x4, x3*x1*x3*x1*x3^3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x4, x3*x1*x3*x1*x3^3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x4, x3*x1*x3*x1*x3^3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x4, x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x4, x1*x3*x1*x3*x1*x3^3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x4, x2*x3*x1*x3*x1*x3^3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x4, x1*x3*x1*x3*x1*x3^3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x3*x1*x3*x1*x3^3, x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x1*x4, x3*x1*x3*x1*x3^3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x2*x4, x3*x1*x3*x1*x3^3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x1*x4, x3*x1*x3*x1*x3^3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x3*x1*x3*x1*x3^3*x4, x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x1*x4, x1*x3*x1*x3*x1*x3^3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x2*x4, x2*x3*x1*x3*x1*x3^3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x1*x4, x1*x3*x1*x3*x1*x3^3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x4, x3*x1*x3*x1*x3^3, x2, x1, x1*x3^2*x1 ] [ x4, x3*x1*x3*x1*x3^3, x2, x1, x1*x3*x1*x3 ] [ x2*x4*x1*x4*x1*x4^3, x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x4*x1*x4*x1*x4^3, x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x4*x1*x4*x1*x4^3, x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x4*x1*x4*x1*x4^3, x1*x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x4*x1*x4*x1*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x4*x1*x4*x1*x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x4*x1*x4*x1*x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x3, x1*x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x4*x1*x4*x1*x4^3, x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x4*x1*x4*x1*x4^3, x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x3*x4*x1*x4*x1*x4^3, x1*x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x4*x1*x4*x1*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x4*x1*x4*x1*x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x4*x1*x4*x1*x4^3, x3, x1*x2, x1, x1*x4^2*x1 ] [ x2*x4*x1*x4*x1*x4^3, x3, x1*x2, x1, x1*x4*x1*x4 ] [ x1*x2*x4^3, x3*x4*x1*x4*x1, x2*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x4^3, x3*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x4^3, x3*x4*x1*x4*x1, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x4^3, x2*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x4^3, x1*x3, x2*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x4^3, x2*x3, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x3*x4*x1*x4*x1, x2*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x4*x1*x4*x1*x4^3, x3*x4*x1*x4*x1, x2*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x3*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x4*x1*x4*x1*x4^3, x3*x4*x1*x4*x1, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x3*x4*x1*x4*x1*x4^3, x2*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x4*x1*x4*x1*x4^3, x1*x3, x2*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x2*x3, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x4*x1*x4*x1*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x4^3, x3*x4*x1*x4*x1, x2*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4 ] [ x1*x2*x4^3, x3*x4*x1*x4*x1, x2*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4^2*x1 ] [ x2*x4*x1*x4*x1*x4^3, x1*x2*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x4*x1*x4*x1*x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x4*x1*x4*x1*x4^3, x1*x2*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x4*x1*x4*x1*x4^3, x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x4*x1*x4*x1*x4^3, x2*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x4*x1*x4*x1*x4^3, x1*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x4*x1*x4*x1*x4^3, x2*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x3, x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x4*x1*x4*x1*x4^3, x1*x2*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x4*x1*x4*x1*x4^3, x1*x2*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x3*x4*x1*x4*x1*x4^3, x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x4*x1*x4*x1*x4^3, x2*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x1*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x4*x1*x4*x1*x4^3, x2*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x4*x1*x4*x1*x4^3, x1*x2*x3, x2, x1, x1*x4*x1*x4 ] [ x2*x4*x1*x4*x1*x4^3, x1*x2*x3, x2, x1, x1*x4^2*x1 ] [ x1*x4*x1*x4*x1*x4, x1*x3^3, x2, x1*x4*x1*x4, x3^2 ] [ x1*x4*x1*x4*x1*x4, x1*x3^3, x1, x1*x4*x1*x4, x3^2 ] [ x1*x4*x1*x4*x1*x4, x1*x3^3, x1*x2, x1*x4*x1*x4, x3^2 ] [ x1*x4*x1*x4*x1*x4, x2, x1, x1*x4*x1*x4, x3^2 ] [ x1*x4*x1*x4*x1*x4, x3^3, x2, x1*x4*x1*x4, x3^2 ] [ x1*x4*x1*x4*x1*x4, x1*x2*x3^3, x1, x1*x4*x1*x4, x3^2 ] [ x1*x4*x1*x4*x1*x4, x3^3, x1*x2, x1*x4*x1*x4, x3^2 ] [ x1*x3^3, x2, x1, x1*x4*x1*x4, x3^2 ] [ x4*x1*x4*x1*x4, x1*x3^3, x2, x1*x4*x1*x4, x3^2 ] [ x1*x2*x4*x1*x4*x1*x4, x1*x3^3, x1, x1*x4*x1*x4, x3^2 ] [ x4*x1*x4*x1*x4, x1*x3^3, x1*x2, x1*x4*x1*x4, x3^2 ] [ x3^3*x4*x1*x4*x1*x4, x2, x1, x1*x4*x1*x4, x3^2 ] [ x4*x1*x4*x1*x4, x3^3, x2, x1*x4*x1*x4, x3^2 ] [ x1*x2*x4*x1*x4*x1*x4, x1*x2*x3^3, x1, x1*x4*x1*x4, x3^2 ] [ x4*x1*x4*x1*x4, x3^3, x1*x2, x1*x4*x1*x4, x3^2 ] [ x1*x4*x1*x4*x1*x4, x1*x3^3, x2, x1, x1*x4*x1*x4 ] [ x1*x4*x1*x4*x1*x4, x1*x3^3, x2, x1, x3^2 ] [ x1*x4*x1*x4*x1*x4, x1*x3^3, x2, x1, x1*x3^2*x4*x1*x4 ] [ x1*x4*x1*x4*x1*x4, x1*x3^3, x2, x1, x3^2*x1*x4*x1*x4 ] [ x4^3, x3^3, x2, x3^2, x4^2 ] [ x4^3, x3^3, x4^2*x1, x3^2, x4^2 ] [ x4^3, x3^3, x2*x4^2*x1, x3^2, x4^2 ] [ x4^3, x2, x4^2*x1, x3^2, x4^2 ] [ x4^3, x3^3*x4^2*x1, x2, x3^2, x4^2 ] [ x4^3, x2*x3^3, x4^2*x1, x3^2, x4^2 ] [ x4^3, x3^3*x4^2*x1, x2*x4^2*x1, x3^2, x4^2 ] [ x3^3, x2, x4^2*x1, x3^2, x4^2 ] [ x1*x4, x3^3, x2, x3^2, x4^2 ] [ x2*x4^3, x3^3, x4^2*x1, x3^2, x4^2 ] [ x1*x4, x3^3, x2*x4^2*x1, x3^2, x4^2 ] [ x3^3*x4^3, x2, x4^2*x1, x3^2, x4^2 ] [ x1*x4, x3^3*x4^2*x1, x2, x3^2, x4^2 ] [ x2*x4^3, x2*x3^3, x4^2*x1, x3^2, x4^2 ] [ x1*x4, x3^3*x4^2*x1, x2*x4^2*x1, x3^2, x4^2 ] [ x4^3, x3^3, x2, x4^2*x1, x3^2 ] [ x4^3, x3^3, x2, x4^2*x1, x4^2 ] [ x4^3, x3^3, x2, x4^2*x1, x3^2*x1*x4^2*x1 ] [ x4^3, x3^3, x2, x4^2*x1, x3^2*x4^2 ] [ x1*x2*x3*x4^3, x1*x3*x4*x2*x4*x2, x2*x4*x2*x4*x2, x2*x4*x2*x4, x2*x4*x2*x4^3 ] [ x1*x2*x3*x4^3, x1*x3*x4*x2*x4*x2, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ] [ x1*x2*x3*x4^3, x1*x3*x4*x2*x4*x2, x1*x2*x4*x2*x4*x2, x2*x4*x2*x4, x2*x4*x2*x4^3 ] [ x1*x2*x3*x4^3, x2*x4*x2*x4*x2, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ] [ x1*x2*x3*x4^3, x3*x4*x2*x4*x2, x2*x4*x2*x4*x2, x2*x4*x2*x4, x2*x4*x2*x4^3 ] [ x1*x2*x3*x4^3, x1*x2*x3, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ] [ x1*x2*x3*x4^3, x3*x4*x2*x4*x2, x1*x2*x4*x2*x4*x2, x2*x4*x2*x4, x2*x4*x2*x4^3 ] [ x1*x3*x4*x2*x4*x2, x2*x4*x2*x4*x2, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ] [ x2*x3*x4^3, x1*x3*x4*x2*x4*x2, x2*x4*x2*x4*x2, x2*x4*x2*x4, x2*x4*x2*x4^3 ] [ x1*x3*x4*x2*x4*x2*x4^3, x1*x3*x4*x2*x4*x2, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ] [ x2*x3*x4^3, x1*x3*x4*x2*x4*x2, x1*x2*x4*x2*x4*x2, x2*x4*x2*x4, x2*x4*x2*x4^3 ] [ x2*x4*x2*x4*x2*x4^3, x2*x4*x2*x4*x2, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ] [ x2*x3*x4^3, x3*x4*x2*x4*x2, x2*x4*x2*x4*x2, x2*x4*x2*x4, x2*x4*x2*x4^3 ] [ x1*x3*x4*x2*x4*x2*x4^3, x1*x2*x3, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ] [ x2*x3*x4^3, x3*x4*x2*x4*x2, x1*x2*x4*x2*x4*x2, x2*x4*x2*x4, x2*x4*x2*x4^3 ] [ x1*x2*x3*x4^3, x1*x3*x4*x2*x4*x2, x2*x4*x2*x4*x2, x1, x2*x4^2*x2 ] [ x1*x2*x3*x4^3, x1*x3*x4*x2*x4*x2, x2*x4*x2*x4*x2, x1, x2*x4*x2*x4 ] [ x2*x3^2*x4^3, x2, x1, x3^2, x4^2 ] [ x2*x3^2*x4^3, x2, x1*x3^3*x4^2, x3^2, x4^2 ] [ x2*x3^2*x4^3, x2, x3^3*x4^2, x3^2, x4^2 ] [ x2*x3^2*x4^3, x1, x1*x3^3*x4^2, x3^2, x4^2 ] [ x2*x3^2*x4^3, x1*x2*x3^3*x4^2, x1, x3^2, x4^2 ] [ x2*x3^2*x4^3, x1*x2, x1*x3^3*x4^2, x3^2, x4^2 ] [ x2*x3^2*x4^3, x1*x2*x3^3*x4^2, x3^3*x4^2, x3^2, x4^2 ] [ x2, x1, x1*x3^3*x4^2, x3^2, x4^2 ] [ x1*x2*x4*x3, x2, x1, x3^2, x4^2 ] [ x1*x2*x3^2*x4^3, x2, x1*x3^3*x4^2, x3^2, x4^2 ] [ x1*x2*x4*x3, x2, x3^3*x4^2, x3^2, x4^2 ] [ x3^2*x4^3, x1, x1*x3^3*x4^2, x3^2, x4^2 ] [ x1*x2*x4*x3, x1*x2*x3^3*x4^2, x1, x3^2, x4^2 ] [ x1*x2*x3^2*x4^3, x1*x2, x1*x3^3*x4^2, x3^2, x4^2 ] [ x1*x2*x4*x3, x1*x2*x3^3*x4^2, x3^3*x4^2, x3^2, x4^2 ] [ x2*x3^2*x4^3, x2, x1, x1*x3^3*x4^2, x3^2 ] [ x2*x3^2*x4^3, x2, x1, x1*x3^3*x4^2, x4^2 ] [ x1*x2*x4^3, x3*x4*x1*x4*x1, x2*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x4^3, x3*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x4^3, x3*x4*x1*x4*x1, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x4^3, x2*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x4^3, x1*x3, x2*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x4^3, x2*x3, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x3*x4*x1*x4*x1, x2*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x4*x1*x4*x1*x4^3, x3*x4*x1*x4*x1, x2*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x3*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x4*x1*x4*x1*x4^3, x3*x4*x1*x4*x1, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x3*x4*x1*x4*x1*x4^3, x2*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x4*x1*x4*x1*x4^3, x1*x3, x2*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x2*x3, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x4*x1*x4*x1*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x4^3, x3*x4*x1*x4*x1, x2*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4 ] [ x1*x2*x4^3, x3*x4*x1*x4*x1, x2*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4^2*x1 ] [ x2*x3^2*x4^3, x2, x1, x3^2, x4^2 ] [ x2*x3^2*x4^3, x2, x1*x3^3*x4^2, x3^2, x4^2 ] [ x2*x3^2*x4^3, x2, x3^3*x4^2, x3^2, x4^2 ] [ x2*x3^2*x4^3, x1, x1*x3^3*x4^2, x3^2, x4^2 ] [ x2*x3^2*x4^3, x1*x2*x3^3*x4^2, x1, x3^2, x4^2 ] [ x2*x3^2*x4^3, x1*x2, x1*x3^3*x4^2, x3^2, x4^2 ] [ x2*x3^2*x4^3, x1*x2*x3^3*x4^2, x3^3*x4^2, x3^2, x4^2 ] [ x2, x1, x1*x3^3*x4^2, x3^2, x4^2 ] [ x1*x2*x4*x3, x2, x1, x3^2, x4^2 ] [ x1*x2*x3^2*x4^3, x2, x1*x3^3*x4^2, x3^2, x4^2 ] [ x1*x2*x4*x3, x2, x3^3*x4^2, x3^2, x4^2 ] [ x3^2*x4^3, x1, x1*x3^3*x4^2, x3^2, x4^2 ] [ x1*x2*x4*x3, x1*x2*x3^3*x4^2, x1, x3^2, x4^2 ] [ x1*x2*x3^2*x4^3, x1*x2, x1*x3^3*x4^2, x3^2, x4^2 ] [ x1*x2*x4*x3, x1*x2*x3^3*x4^2, x3^3*x4^2, x3^2, x4^2 ] [ x2*x3^2*x4^3, x2, x1, x1*x3^3*x4^2, x4^2 ] [ x2*x3^2*x4^3, x2, x1, x1*x3^3*x4^2, x3^2 ] [ x2*x3^2*x4^3, x2, x1, x3^2, x4^2 ] [ x2*x3^2*x4^3, x2, x1*x3^3*x4^2, x3^2, x4^2 ] [ x2*x3^2*x4^3, x2, x3^3*x4^2, x3^2, x4^2 ] [ x2*x3^2*x4^3, x1, x1*x3^3*x4^2, x3^2, x4^2 ] [ x2*x3^2*x4^3, x1*x2*x3^3*x4^2, x1, x3^2, x4^2 ] [ x2*x3^2*x4^3, x1*x2, x1*x3^3*x4^2, x3^2, x4^2 ] [ x2*x3^2*x4^3, x1*x2*x3^3*x4^2, x3^3*x4^2, x3^2, x4^2 ] [ x2, x1, x1*x3^3*x4^2, x3^2, x4^2 ] [ x1*x2*x4*x3, x2, x1, x3^2, x4^2 ] [ x1*x2*x3^2*x4^3, x2, x1*x3^3*x4^2, x3^2, x4^2 ] [ x1*x2*x4*x3, x2, x3^3*x4^2, x3^2, x4^2 ] [ x3^2*x4^3, x1, x1*x3^3*x4^2, x3^2, x4^2 ] [ x1*x2*x4*x3, x1*x2*x3^3*x4^2, x1, x3^2, x4^2 ] [ x1*x2*x3^2*x4^3, x1*x2, x1*x3^3*x4^2, x3^2, x4^2 ] [ x1*x2*x4*x3, x1*x2*x3^3*x4^2, x3^3*x4^2, x3^2, x4^2 ] [ x2*x3^2*x4^3, x2, x1, x1*x3^3*x4^2, x3^2 ] [ x2*x3^2*x4^3, x2, x1, x1*x3^3*x4^2, x4^2 ] [ x4*x1*x2*x4*x1*x2*x4, x2*x3*x4^2*x1, x1*x2*x4^2*x1, x4^2, x1*x2*x4*x1*x2*x4 ] [ x4*x1*x2*x4*x1*x2*x4, x2*x3*x4^2*x1, x4^2*x1, x4^2, x1*x2*x4*x1*x2*x4 ] [ x4*x1*x2*x4*x1*x2*x4, x2*x3*x4^2*x1, x1*x2, x4^2, x1*x2*x4*x1*x2*x4 ] [ x4*x1*x2*x4*x1*x2*x4, x1*x2*x4^2*x1, x4^2*x1, x4^2, x1*x2*x4*x1*x2*x4 ] [ x4*x1*x2*x4*x1*x2*x4, x2*x3, x1*x2*x4^2*x1, x4^2, x1*x2*x4*x1*x2*x4 ] [ x4*x1*x2*x4*x1*x2*x4, x1*x3, x4^2*x1, x4^2, x1*x2*x4*x1*x2*x4 ] [ x4*x1*x2*x4*x1*x2*x4, x2*x3, x1*x2, x4^2, x1*x2*x4*x1*x2*x4 ] [ x2*x3*x4^2*x1, x1*x2*x4^2*x1, x4^2*x1, x4^2, x1*x2*x4*x1*x2*x4 ] [ x1*x4*x1*x4*x1*x4, x2*x3*x4^2*x1, x1*x2*x4^2*x1, x4^2, x1*x2*x4*x1*x2*x4 ] [ x2*x4*x1*x4*x1*x4, x2*x3*x4^2*x1, x4^2*x1, x4^2, x1*x2*x4*x1*x2*x4 ] [ x1*x4*x1*x4*x1*x4, x2*x3*x4^2*x1, x1*x2, x4^2, x1*x2*x4*x1*x2*x4 ] [ x1*x2*x3*x4*x1*x4*x1*x4, x1*x2*x4^2*x1, x4^2*x1, x4^2, x1*x2*x4*x1*x2*x4 ] [ x1*x4*x1*x4*x1*x4, x2*x3, x1*x2*x4^2*x1, x4^2, x1*x2*x4*x1*x2*x4 ] [ x2*x4*x1*x4*x1*x4, x1*x3, x4^2*x1, x4^2, x1*x2*x4*x1*x2*x4 ] [ x1*x4*x1*x4*x1*x4, x2*x3, x1*x2, x4^2, x1*x2*x4*x1*x2*x4 ] [ x4*x1*x2*x4*x1*x2*x4, x2*x3*x4^2*x1, x1*x2*x4^2*x1, x4^2*x1, x4*x1*x4*x1 ] [ x4*x1*x2*x4*x1*x2*x4, x2*x3*x4^2*x1, x1*x2*x4^2*x1, x4^2*x1, x4^2 ] [ x2*x3^2*x4^3, x2, x1, x3^2, x4^2 ] [ x2*x3^2*x4^3, x2, x1*x3^3*x4^2, x3^2, x4^2 ] [ x2*x3^2*x4^3, x2, x3^3*x4^2, x3^2, x4^2 ] [ x2*x3^2*x4^3, x1, x1*x3^3*x4^2, x3^2, x4^2 ] [ x2*x3^2*x4^3, x1*x2*x3^3*x4^2, x1, x3^2, x4^2 ] [ x2*x3^2*x4^3, x1*x2, x1*x3^3*x4^2, x3^2, x4^2 ] [ x2*x3^2*x4^3, x1*x2*x3^3*x4^2, x3^3*x4^2, x3^2, x4^2 ] [ x2, x1, x1*x3^3*x4^2, x3^2, x4^2 ] [ x1*x2*x4*x3, x2, x1, x3^2, x4^2 ] [ x1*x2*x3^2*x4^3, x2, x1*x3^3*x4^2, x3^2, x4^2 ] [ x1*x2*x4*x3, x2, x3^3*x4^2, x3^2, x4^2 ] [ x3^2*x4^3, x1, x1*x3^3*x4^2, x3^2, x4^2 ] [ x1*x2*x4*x3, x1*x2*x3^3*x4^2, x1, x3^2, x4^2 ] [ x1*x2*x3^2*x4^3, x1*x2, x1*x3^3*x4^2, x3^2, x4^2 ] [ x1*x2*x4*x3, x1*x2*x3^3*x4^2, x3^3*x4^2, x3^2, x4^2 ] [ x2*x3^2*x4^3, x2, x1, x1*x3^3*x4^2, x4^2 ] [ x2*x3^2*x4^3, x2, x1, x1*x3^3*x4^2, x3^2 ] [ x2*x3^2*x4^3, x2, x1, x3^2, x4^2 ] [ x2*x3^2*x4^3, x2, x1*x3^3*x4^2, x3^2, x4^2 ] [ x2*x3^2*x4^3, x2, x3^3*x4^2, x3^2, x4^2 ] [ x2*x3^2*x4^3, x1, x1*x3^3*x4^2, x3^2, x4^2 ] [ x2*x3^2*x4^3, x1*x2*x3^3*x4^2, x1, x3^2, x4^2 ] [ x2*x3^2*x4^3, x1*x2, x1*x3^3*x4^2, x3^2, x4^2 ] [ x2*x3^2*x4^3, x1*x2*x3^3*x4^2, x3^3*x4^2, x3^2, x4^2 ] [ x2, x1, x1*x3^3*x4^2, x3^2, x4^2 ] [ x1*x2*x4*x3, x2, x1, x3^2, x4^2 ] [ x1*x2*x3^2*x4^3, x2, x1*x3^3*x4^2, x3^2, x4^2 ] [ x1*x2*x4*x3, x2, x3^3*x4^2, x3^2, x4^2 ] [ x3^2*x4^3, x1, x1*x3^3*x4^2, x3^2, x4^2 ] [ x1*x2*x4*x3, x1*x2*x3^3*x4^2, x1, x3^2, x4^2 ] [ x1*x2*x3^2*x4^3, x1*x2, x1*x3^3*x4^2, x3^2, x4^2 ] [ x1*x2*x4*x3, x1*x2*x3^3*x4^2, x3^3*x4^2, x3^2, x4^2 ] [ x2*x3^2*x4^3, x2, x1, x1*x3^3*x4^2, x3^2 ] [ x2*x3^2*x4^3, x2, x1, x1*x3^3*x4^2, x4^2 ] [ x1*x2*x4*x2*x4*x2*x4, x3, x4^2*x2, x2*x4^2*x2, x2*x4*x2*x4^3 ] [ x1*x2*x4*x2*x4*x2*x4, x3, x1, x2*x4^2*x2, x2*x4*x2*x4^3 ] [ x1*x2*x4*x2*x4*x2*x4, x3, x1*x4^2*x2, x2*x4^2*x2, x2*x4*x2*x4^3 ] [ x1*x2*x4*x2*x4*x2*x4, x4^2*x2, x1, x2*x4^2*x2, x2*x4*x2*x4^3 ] [ x1*x2*x4*x2*x4*x2*x4, x1*x3, x4^2*x2, x2*x4^2*x2, x2*x4*x2*x4^3 ] [ x1*x2*x4*x2*x4*x2*x4, x3*x4^2*x2, x1, x2*x4^2*x2, x2*x4*x2*x4^3 ] [ x1*x2*x4*x2*x4*x2*x4, x1*x3, x1*x4^2*x2, x2*x4^2*x2, x2*x4*x2*x4^3 ] [ x3, x4^2*x2, x1, x2*x4^2*x2, x2*x4*x2*x4^3 ] [ x2*x4*x2*x4*x2*x4, x3, x4^2*x2, x2*x4^2*x2, x2*x4*x2*x4^3 ] [ x1*x4*x2*x4*x2*x4^3, x3, x1, x2*x4^2*x2, x2*x4*x2*x4^3 ] [ x2*x4*x2*x4*x2*x4, x3, x1*x4^2*x2, x2*x4^2*x2, x2*x4*x2*x4^3 ] [ x1*x2*x3*x4*x2*x4*x2*x4, x4^2*x2, x1, x2*x4^2*x2, x2*x4*x2*x4^3 ] [ x2*x4*x2*x4*x2*x4, x1*x3, x4^2*x2, x2*x4^2*x2, x2*x4*x2*x4^3 ] [ x1*x4*x2*x4*x2*x4^3, x3*x4^2*x2, x1, x2*x4^2*x2, x2*x4*x2*x4^3 ] [ x2*x4*x2*x4*x2*x4, x1*x3, x1*x4^2*x2, x2*x4^2*x2, x2*x4*x2*x4^3 ] [ x1*x2*x4*x2*x4*x2*x4, x3, x4^2*x2, x1, x2*x4^2*x2 ] [ x1*x2*x4*x2*x4*x2*x4, x3, x4^2*x2, x1, x2*x4*x2*x4 ] [ x4*x1*x4*x1*x4, x1*x3*x4^2, x1*x2, x4^2, x3*x4*x3*x4 ] [ x4*x1*x4*x1*x4, x1*x3*x4^2, x2, x4^2, x3*x4*x3*x4 ] [ x4*x1*x4*x1*x4, x1*x3*x4^2, x1, x4^2, x3*x4*x3*x4 ] [ x4*x1*x4*x1*x4, x1*x2, x2, x4^2, x3*x4*x3*x4 ] [ x4*x1*x4*x1*x4, x1*x2*x3*x4^2, x1*x2, x4^2, x3*x4*x3*x4 ] [ x4*x1*x4*x1*x4, x2*x3*x4^2, x2, x4^2, x3*x4*x3*x4 ] [ x4*x1*x4*x1*x4, x1*x2*x3*x4^2, x1, x4^2, x3*x4*x3*x4 ] [ x1*x3*x4^2, x1*x2, x2, x4^2, x3*x4*x3*x4 ] [ x2*x4*x1*x4*x1*x4, x1*x3*x4^2, x1*x2, x4^2, x3*x4*x3*x4 ] [ x1*x2*x4*x1*x4*x1*x4, x1*x3*x4^2, x2, x4^2, x3*x4*x3*x4 ] [ x2*x4*x1*x4*x1*x4, x1*x3*x4^2, x1, x4^2, x3*x4*x3*x4 ] [ x4*x1*x4*x3*x4, x1*x2, x2, x4^2, x3*x4*x3*x4 ] [ x2*x4*x1*x4*x1*x4, x1*x2*x3*x4^2, x1*x2, x4^2, x3*x4*x3*x4 ] [ x1*x2*x4*x1*x4*x1*x4, x2*x3*x4^2, x2, x4^2, x3*x4*x3*x4 ] [ x2*x4*x1*x4*x1*x4, x1*x2*x3*x4^2, x1, x4^2, x3*x4*x3*x4 ] [ x4*x1*x4*x1*x4, x1*x3*x4^2, x1*x2, x2, x4^2 ] [ x4*x1*x4*x1*x4, x1*x3*x4^2, x1*x2, x2, x3*x4*x3*x4 ] [ x1*x4*x1*x4*x1*x4^3, x1*x2*x3, x2, x1*x4^2*x1, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x1*x2*x3, x1, x1*x4^2*x1, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x1*x2*x3, x1*x2, x1*x4^2*x1, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x2, x1, x1*x4^2*x1, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x2*x3, x2, x1*x4^2*x1, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x1*x3, x1, x1*x4^2*x1, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x2*x3, x1*x2, x1*x4^2*x1, x1*x4*x1*x4^3 ] [ x1*x2*x3, x2, x1, x1*x4^2*x1, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x1*x2*x3, x2, x1*x4^2*x1, x1*x4*x1*x4^3 ] [ x1*x2*x4*x1*x4*x1*x4^3, x1*x2*x3, x1, x1*x4^2*x1, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x1*x2*x3, x1*x2, x1*x4^2*x1, x1*x4*x1*x4^3 ] [ x2*x3*x4*x1*x4*x1*x4^3, x2, x1, x1*x4^2*x1, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x2*x3, x2, x1*x4^2*x1, x1*x4*x1*x4^3 ] [ x1*x2*x4*x1*x4*x1*x4^3, x1*x3, x1, x1*x4^2*x1, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x2*x3, x1*x2, x1*x4^2*x1, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x1*x2*x3, x2, x1, x1*x4*x1*x4 ] [ x1*x4*x1*x4*x1*x4^3, x1*x2*x3, x2, x1, x1*x4^2*x1 ] [ x2*x4^3*x2, x3, x4*x2*x4, x2*x4*x2*x4, x2*x4*x2*x4^3 ] [ x2*x4^3*x2, x3, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ] [ x2*x4^3*x2, x3, x1*x4*x2*x4, x2*x4*x2*x4, x2*x4*x2*x4^3 ] [ x2*x4^3*x2, x4*x2*x4, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ] [ x2*x4^3*x2, x1*x3, x4*x2*x4, x2*x4*x2*x4, x2*x4*x2*x4^3 ] [ x2*x4^3*x2, x3*x4*x2*x4, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ] [ x2*x4^3*x2, x1*x3, x1*x4*x2*x4, x2*x4*x2*x4, x2*x4*x2*x4^3 ] [ x3, x4*x2*x4, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ] [ x1*x2*x4^3*x2, x3, x4*x2*x4, x2*x4*x2*x4, x2*x4*x2*x4^3 ] [ x2*x4*x2*x4*x2*x4^3, x3, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ] [ x1*x2*x4^3*x2, x3, x1*x4*x2*x4, x2*x4*x2*x4, x2*x4*x2*x4^3 ] [ x2*x3*x4^3*x2, x4*x2*x4, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ] [ x1*x2*x4^3*x2, x1*x3, x4*x2*x4, x2*x4*x2*x4, x2*x4*x2*x4^3 ] [ x2*x4*x2*x4*x2*x4^3, x3*x4*x2*x4, x1, x2*x4*x2*x4, x2*x4*x2*x4^3 ] [ x1*x2*x4^3*x2, x1*x3, x1*x4*x2*x4, x2*x4*x2*x4, x2*x4*x2*x4^3 ] [ x2*x4^3*x2, x3, x4*x2*x4, x1, x2*x4*x2*x4 ] [ x2*x4^3*x2, x3, x4*x2*x4, x1, x2*x4^2*x2 ] [ x4^3, x2*x3*x4*x3*x4*x3, x1, x3*x4*x3*x4, x3*x4*x3*x4^3 ] [ x4^3, x2*x3*x4*x3*x4*x3, x2, x3*x4*x3*x4, x3*x4*x3*x4^3 ] [ x4^3, x2*x3*x4*x3*x4*x3, x1*x2, x3*x4*x3*x4, x3*x4*x3*x4^3 ] [ x4^3, x1, x2, x3*x4*x3*x4, x3*x4*x3*x4^3 ] [ x4^3, x3*x4*x3*x4*x3, x1, x3*x4*x3*x4, x3*x4*x3*x4^3 ] [ x4^3, x1*x2*x3*x4*x3*x4*x3, x2, x3*x4*x3*x4, x3*x4*x3*x4^3 ] [ x4^3, x3*x4*x3*x4*x3, x1*x2, x3*x4*x3*x4, x3*x4*x3*x4^3 ] [ x2*x3*x4*x3*x4*x3, x1, x2, x3*x4*x3*x4, x3*x4*x3*x4^3 ] [ x2*x4^3, x2*x3*x4*x3*x4*x3, x1, x3*x4*x3*x4, x3*x4*x3*x4^3 ] [ x1*x4^3, x2*x3*x4*x3*x4*x3, x2, x3*x4*x3*x4, x3*x4*x3*x4^3 ] [ x2*x4^3, x2*x3*x4*x3*x4*x3, x1*x2, x3*x4*x3*x4, x3*x4*x3*x4^3 ] [ x2*x3*x4*x3*x4*x3*x4^3, x1, x2, x3*x4*x3*x4, x3*x4*x3*x4^3 ] [ x2*x4^3, x3*x4*x3*x4*x3, x1, x3*x4*x3*x4, x3*x4*x3*x4^3 ] [ x1*x4^3, x1*x2*x3*x4*x3*x4*x3, x2, x3*x4*x3*x4, x3*x4*x3*x4^3 ] [ x2*x4^3, x3*x4*x3*x4*x3, x1*x2, x3*x4*x3*x4, x3*x4*x3*x4^3 ] [ x4^3, x2*x3*x4*x3*x4*x3, x1, x2, x3*x4*x3*x4 ] [ x4^3, x2*x3*x4*x3*x4*x3, x1, x2, x3*x4^2*x3 ] [ x4*x1*x4*x1*x4^3, x1*x2*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x1*x2*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x2*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x1*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x2*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x3, x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x1*x2*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x4*x1*x4*x1*x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x1*x2*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x3*x4*x1*x4*x1*x4^3, x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x2*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x4*x1*x4*x1*x4^3, x1*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x2*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x4*x1*x4*x1*x4^3, x1*x2*x3, x2, x1, x1*x4^2*x1 ] [ x4*x1*x4*x1*x4^3, x1*x2*x3, x2, x1, x1*x4*x1*x4 ] [ x2*x4*x1*x4*x1*x4^3, x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x4*x1*x4*x1*x4^3, x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x4*x1*x4*x1*x4^3, x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x4*x1*x4*x1*x4^3, x1*x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x4*x1*x4*x1*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x4*x1*x4*x1*x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x4*x1*x4*x1*x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x3, x1*x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x4*x1*x4*x1*x4^3, x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x4*x1*x4*x1*x4^3, x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x3*x4*x1*x4*x1*x4^3, x1*x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x4*x1*x4*x1*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x4*x1*x4*x1*x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x4*x1*x4*x1*x4^3, x3, x1*x2, x1, x1*x4^2*x1 ] [ x2*x4*x1*x4*x1*x4^3, x3, x1*x2, x1, x1*x4*x1*x4 ] [ x1*x2*x4^3, x3*x4*x1*x4*x1, x2*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x4^3, x3*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x4^3, x3*x4*x1*x4*x1, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x4^3, x2*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x4^3, x1*x3, x2*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x4^3, x2*x3, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x3*x4*x1*x4*x1, x2*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x4*x1*x4*x1*x4^3, x3*x4*x1*x4*x1, x2*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x3*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x4*x1*x4*x1*x4^3, x3*x4*x1*x4*x1, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x3*x4*x1*x4*x1*x4^3, x2*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x4*x1*x4*x1*x4^3, x1*x3, x2*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x2*x3, x1*x4*x1*x4*x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x4*x1*x4*x1*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x4^3, x3*x4*x1*x4*x1, x2*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4^2*x1 ] [ x1*x2*x4^3, x3*x4*x1*x4*x1, x2*x4*x1*x4*x1, x1*x4*x1*x4*x1, x1*x4*x1*x4 ] [ x2*x4*x1*x4*x1*x4^3, x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x4*x1*x4*x1*x4^3, x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x4*x1*x4*x1*x4^3, x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x4*x1*x4*x1*x4^3, x1*x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x4*x1*x4*x1*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x4*x1*x4*x1*x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x4*x1*x4*x1*x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x3, x1*x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x4*x1*x4*x1*x4^3, x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x4*x1*x4*x1*x4^3, x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x3*x4*x1*x4*x1*x4^3, x1*x2, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x4*x1*x4*x1*x4^3, x1*x3, x1*x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x4*x1*x4*x1*x4^3, x1*x2*x3, x1, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x1*x2*x4*x1*x4*x1*x4^3, x1*x3, x2, x1*x4*x1*x4, x1*x4*x1*x4^3 ] [ x2*x4*x1*x4*x1*x4^3, x3, x1*x2, x1, x1*x4^2*x1 ] [ x2*x4*x1*x4*x1*x4^3, x3, x1*x2, x1, x1*x4*x1*x4 ] [ x2^4, x1 ] [ x2^3, x2^4 ] [ x2^3, x1 ] [ x2^3, x1^2*x2^4 ] [ x2^3, x1*x2^4 ] [ x2^2, x1 ] [ x2^3, x2^2 ] [ x2^3, x1 ] [ x2^3, x1^2*x2^2 ] [ x2^3, x1*x2^2 ] [ x2^2, x1^2 ] [ x2^3, x1^2 ] [ x2^3, x2^2 ] [ x2^2, x1^2 ] [ x1^2*x2^3, x1^2 ] [ x1^2*x2^3, x2^2 ] [ x2^2, x1 ] [ x2^3, x2^2 ] [ x2^3, x1 ] [ x2^3, x1^2*x2^2 ] [ x2^3, x1*x2^2 ] [ x1*x2*x1, x1*x3*x1 ] [ x1, x1*x2*x1 ] [ x1, x1*x3*x1 ] [ x1, x1*x2*x1*x3 ] [ x1, x1*x2*x3*x1 ] [ x3^3, x2, x3^4 ] [ x3^3, x1, x3^4 ] [ x3^3, x1*x2, x3^4 ] [ x2, x1, x3^4 ] [ x1*x3^3, x2, x3^4 ] [ x2*x3^3, x1, x3^4 ] [ x1*x3^3, x1*x2, x3^4 ] [ x3^3, x2, x1 ] [ x3^3, x2, x3^4 ] [ x3^3, x1, x3^4 ] [ x3^3, x1*x2, x3^4 ] [ x2, x1, x3^4 ] [ x1*x3^3, x2, x3^4 ] [ x2*x3^3, x1, x3^4 ] [ x1*x3^3, x1*x2, x3^4 ] [ x3^3, x2, x1 ] [ x3^3, x2, x3^4 ] [ x3^3, x1, x3^4 ] [ x3^3, x1*x2, x3^4 ] [ x2, x1, x3^4 ] [ x1*x3^3, x2, x3^4 ] [ x2*x3^3, x1, x3^4 ] [ x1*x3^3, x1*x2, x3^4 ] [ x3^3, x2, x1 ] [ x3^3, x2, x3^4 ] [ x3^3, x1, x3^4 ] [ x3^3, x1*x2, x3^4 ] [ x2, x1, x3^4 ] [ x1*x3^3, x2, x3^4 ] [ x2*x3^3, x1, x3^4 ] [ x1*x3^3, x1*x2, x3^4 ] [ x3^3, x2, x1 ] [ x3^3, x2, x3^4 ] [ x3^3, x1, x3^4 ] [ x3^3, x1*x2, x3^4 ] [ x2, x1, x3^4 ] [ x1*x3^3, x2, x3^4 ] [ x2*x3^3, x1, x3^4 ] [ x1*x3^3, x1*x2, x3^4 ] [ x3^3, x2, x1 ] [ x1*x3^3, x1*x2, x3^4 ] [ x1*x3^3, x1, x3^4 ] [ x1*x3^3, x2, x3^4 ] [ x1*x2, x1, x3^4 ] [ x3^3, x1*x2, x3^4 ] [ x2*x3^3, x1, x3^4 ] [ x3^3, x2, x3^4 ] [ x1*x3^3, x1*x2, x1 ] [ x1*x3^3, x2, x3^2 ] [ x1*x3^3, x1, x3^2 ] [ x1*x3^3, x1*x2, x3^2 ] [ x2, x1, x3^2 ] [ x3^3, x2, x3^2 ] [ x1*x2*x3^3, x1, x3^2 ] [ x3^3, x1*x2, x3^2 ] [ x1*x3^3, x2, x1 ] [ x3^3, x1*x2, x3^2 ] [ x3^3, x1, x3^2 ] [ x3^3, x2, x3^2 ] [ x1*x2, x1, x3^2 ] [ x1*x3^3, x1*x2, x3^2 ] [ x1*x2*x3^3, x1, x3^2 ] [ x1*x3^3, x2, x3^2 ] [ x3^3, x1*x2, x1 ] [ x1*x3^3, x2, x3^2 ] [ x1*x3^3, x1, x3^2 ] [ x1*x3^3, x1*x2, x3^2 ] [ x2, x1, x3^2 ] [ x3^3, x2, x3^2 ] [ x1*x2*x3^3, x1, x3^2 ] [ x3^3, x1*x2, x3^2 ] [ x1*x3^3, x2, x1 ] [ x3^3, x2, x3^2 ] [ x3^3, x1, x3^2 ] [ x3^3, x1*x2, x3^2 ] [ x2, x1, x3^2 ] [ x1*x3^3, x2, x3^2 ] [ x2*x3^3, x1, x3^2 ] [ x1*x3^3, x1*x2, x3^2 ] [ x3^3, x2, x1 ] [ x2*x3^3, x2, x3^2 ] [ x2*x3^3, x1, x3^2 ] [ x2*x3^3, x1*x2, x3^2 ] [ x2, x1, x3^2 ] [ x1*x2*x3^3, x2, x3^2 ] [ x3^3, x1, x3^2 ] [ x1*x2*x3^3, x1*x2, x3^2 ] [ x2*x3^3, x2, x1 ] [ x1*x2*x3^3, x2, x3^2 ] [ x1*x2*x3^3, x1, x3^2 ] [ x1*x2*x3^3, x1*x2, x3^2 ] [ x2, x1, x3^2 ] [ x2*x3^3, x2, x3^2 ] [ x1*x3^3, x1, x3^2 ] [ x2*x3^3, x1*x2, x3^2 ] [ x1*x2*x3^3, x2, x1 ] [ x3^3, x1*x2, x3^2 ] [ x3^3, x1, x3^2 ] [ x3^3, x2, x3^2 ] [ x1*x2, x1, x3^2 ] [ x1*x3^3, x1*x2, x3^2 ] [ x1*x2*x3^3, x1, x3^2 ] [ x1*x3^3, x2, x3^2 ] [ x3^3, x1*x2, x1 ] [ x1*x3^3, x2, x3^2 ] [ x1*x3^3, x1, x3^2 ] [ x1*x3^3, x1*x2, x3^2 ] [ x2, x1, x3^2 ] [ x3^3, x2, x3^2 ] [ x1*x2*x3^3, x1, x3^2 ] [ x3^3, x1*x2, x3^2 ] [ x1*x3^3, x2, x1 ] [ x3^3, x2, x3^2 ] [ x3^3, x1*x3^2, x3^2 ] [ x3^3, x1*x2*x3^2, x3^2 ] [ x2, x1*x3^2, x3^2 ] [ x3*x1, x2, x3^2 ] [ x2*x3^3, x1*x3^2, x3^2 ] [ x3*x1, x1*x2*x3^2, x3^2 ] [ x3^3, x2, x1*x3^2 ] [ x3^3, x2, x3^2 ] [ x3^3, x1*x3^2, x3^2 ] [ x3^3, x1*x2*x3^2, x3^2 ] [ x2, x1*x3^2, x3^2 ] [ x3*x1, x2, x3^2 ] [ x2*x3^3, x1*x3^2, x3^2 ] [ x3*x1, x1*x2*x3^2, x3^2 ] [ x3^3, x2, x1*x3^2 ] [ x1*x3^3, x2, x3^2 ] [ x1*x3^3, x1, x3^2 ] [ x1*x3^3, x1*x2, x3^2 ] [ x2, x1, x3^2 ] [ x3^3, x2, x3^2 ] [ x1*x2*x3^3, x1, x3^2 ] [ x3^3, x1*x2, x3^2 ] [ x1*x3^3, x2, x1 ] [ x3*x2*x3*x2*x3, x1*x2, x2*x3*x2*x3 ] [ x3*x2*x3*x2*x3, x1, x2*x3*x2*x3 ] [ x3*x2*x3*x2*x3, x2, x2*x3*x2*x3 ] [ x1*x2, x1, x2*x3*x2*x3 ] [ x1*x3*x2*x3*x2*x3, x1*x2, x2*x3*x2*x3 ] [ x1*x2*x3*x2*x3*x2*x3, x1, x2*x3*x2*x3 ] [ x1*x3*x2*x3*x2*x3, x2, x2*x3*x2*x3 ] [ x3*x2*x3*x2*x3, x1*x2, x1 ] [ x3^3, x2, x3^2 ] [ x3^3, x1, x3^2 ] [ x3^3, x1*x2, x3^2 ] [ x2, x1, x3^2 ] [ x1*x3^3, x2, x3^2 ] [ x2*x3^3, x1, x3^2 ] [ x1*x3^3, x1*x2, x3^2 ] [ x3^3, x2, x1 ] [ x3, x2*x1*x2*x1*x2, x1*x2*x1*x2 ] [ x3, x1, x1*x2*x1*x2 ] [ x3, x1*x2*x1*x2*x1*x2, x1*x2*x1*x2 ] [ x2*x1*x2*x1*x2, x1, x1*x2*x1*x2 ] [ x1*x3, x2*x1*x2*x1*x2, x1*x2*x1*x2 ] [ x2*x1*x2*x1*x2*x3, x1, x1*x2*x1*x2 ] [ x1*x3, x1*x2*x1*x2*x1*x2, x1*x2*x1*x2 ] [ x3, x2*x1*x2*x1*x2, x1 ] [ x5^3, x2*x4, x1*x3, x2, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ] [ x5^3, x2*x4, x1*x3, x1, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ] [ x5^3, x2*x4, x1*x3, x1*x2, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ] [ x5^3, x2*x4, x2, x1, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ] [ x5^3, x2*x4, x3, x2, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ] [ x5^3, x2*x4, x1*x2*x3, x1, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ] [ x5^3, x2*x4, x3, x1*x2, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ] [ x5^3, x1*x3, x2, x1, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ] [ x5^3, x1*x2*x4, x1*x3, x2, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ] [ x5^3, x4, x1*x3, x1, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ] [ x5^3, x1*x2*x4, x1*x3, x1*x2, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ] [ x5^3, x1*x2*x3*x4, x2, x1, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ] [ x5^3, x1*x2*x4, x3, x2, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ] [ x5^3, x4, x1*x2*x3, x1, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ] [ x5^3, x1*x2*x4, x3, x1*x2, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ] [ x2*x4, x1*x3, x2, x1, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ] [ x1*x5^3, x2*x4, x1*x3, x2, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ] [ x2*x5^3, x2*x4, x1*x3, x1, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ] [ x1*x5^3, x2*x4, x1*x3, x1*x2, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ] [ x1*x3*x5^3, x2*x4, x2, x1, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ] [ x1*x5^3, x2*x4, x3, x2, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ] [ x2*x5^3, x2*x4, x1*x2*x3, x1, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ] [ x1*x5^3, x2*x4, x3, x1*x2, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ] [ x2*x4*x5^3, x1*x3, x2, x1, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ] [ x1*x5^3, x1*x2*x4, x1*x3, x2, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ] [ x2*x5^3, x4, x1*x3, x1, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ] [ x1*x5^3, x1*x2*x4, x1*x3, x1*x2, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ] [ x1*x3*x5^3, x1*x2*x3*x4, x2, x1, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ] [ x1*x5^3, x1*x2*x4, x3, x2, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ] [ x2*x5^3, x4, x1*x2*x3, x1, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ] [ x1*x5^3, x1*x2*x4, x3, x1*x2, x1*x5*x1*x5, x1*x5^2*x1*x5^4 ] [ x5^3, x2*x4, x1*x3, x2, x1, x1*x5^2*x1*x5^4 ] [ x5^3, x2*x4, x1*x3, x2, x1, x1*x5*x1*x5 ] [ x3*x4^4*x5^3, x3, x1, x2, x4^2, x5^2 ] [ x3*x4^4*x5^3, x3, x1, x1*x4^3, x4^2, x5^2 ] [ x3*x4^4*x5^3, x3, x1, x1*x2*x4^3, x4^2, x5^2 ] [ x3*x4^4*x5^3, x3, x2, x1*x4^3, x4^2, x5^2 ] [ x3*x4^4*x5^3, x3, x4^3, x2, x4^2, x5^2 ] [ x3*x4^4*x5^3, x3, x1*x2, x1*x4^3, x4^2, x5^2 ] [ x3*x4^4*x5^3, x3, x4^3, x1*x2*x4^3, x4^2, x5^2 ] [ x3*x4^4*x5^3, x1, x2, x1*x4^3, x4^2, x5^2 ] [ x3*x4^4*x5^3, x1*x3*x4^3, x1, x2, x4^2, x5^2 ] [ x3*x4^4*x5^3, x2*x3, x1, x1*x4^3, x4^2, x5^2 ] [ x3*x4^4*x5^3, x1*x3*x4^3, x1, x1*x2*x4^3, x4^2, x5^2 ] [ x3*x4^4*x5^3, x1*x3, x2, x1*x4^3, x4^2, x5^2 ] [ x3*x4^4*x5^3, x1*x3*x4^3, x4^3, x2, x4^2, x5^2 ] [ x3*x4^4*x5^3, x2*x3, x1*x2, x1*x4^3, x4^2, x5^2 ] [ x3*x4^4*x5^3, x1*x3*x4^3, x4^3, x1*x2*x4^3, x4^2, x5^2 ] [ x3, x1, x2, x1*x4^3, x4^2, x5^2 ] [ x1*x3*x4*x5^3, x3, x1, x2, x4^2, x5^2 ] [ x2*x3*x4^4*x5^3, x3, x1, x1*x4^3, x4^2, x5^2 ] [ x1*x3*x4*x5^3, x3, x1, x1*x2*x4^3, x4^2, x5^2 ] [ x1*x3*x4^4*x5^3, x3, x2, x1*x4^3, x4^2, x5^2 ] [ x1*x3*x4*x5^3, x3, x4^3, x2, x4^2, x5^2 ] [ x2*x3*x4^4*x5^3, x3, x1*x2, x1*x4^3, x4^2, x5^2 ] [ x1*x3*x4*x5^3, x3, x4^3, x1*x2*x4^3, x4^2, x5^2 ] [ x4^4*x5^3, x1, x2, x1*x4^3, x4^2, x5^2 ] [ x1*x3*x4*x5^3, x1*x3*x4^3, x1, x2, x4^2, x5^2 ] [ x2*x3*x4^4*x5^3, x2*x3, x1, x1*x4^3, x4^2, x5^2 ] [ x1*x3*x4*x5^3, x1*x3*x4^3, x1, x1*x2*x4^3, x4^2, x5^2 ] [ x1*x3*x4^4*x5^3, x1*x3, x2, x1*x4^3, x4^2, x5^2 ] [ x1*x3*x4*x5^3, x1*x3*x4^3, x4^3, x2, x4^2, x5^2 ] [ x2*x3*x4^4*x5^3, x2*x3, x1*x2, x1*x4^3, x4^2, x5^2 ] [ x1*x3*x4*x5^3, x1*x3*x4^3, x4^3, x1*x2*x4^3, x4^2, x5^2 ] [ x3*x4^4*x5^3, x3, x1, x2, x1*x4^3, x4^2 ] [ x3*x4^4*x5^3, x3, x1, x2, x1*x4^3, x5^2 ] [ x5^3, x2*x5*x1*x5*x4, x1*x4*x5*x1*x4*x5*x1, x2, x1*x5*x1*x5, x1*x4*x5*x1*x4*x5 ] [ x5^3, x2*x5*x1*x5*x4, x1*x4*x5*x1*x4*x5*x1, x3, x1*x5*x1*x5, x1*x4*x5*x1*x4*x5 ] [ x5^3, x2*x5*x1*x5*x4, x1*x4*x5*x1*x4*x5*x1, x2*x3, x1*x5*x1*x5, x1*x4*x5*x1*x4*x5 ] [ x5^3, x2*x5*x1*x5*x4, x2, x3, x1*x5*x1*x5, x1*x4*x5*x1*x4*x5 ] [ x5^3, x2*x5*x1*x5*x4, x1*x3*x4*x5*x1*x4*x5*x1, x2, x1*x5*x1*x5, x1*x4*x5*x1*x4*x5 ] [ x5^3, x2*x5*x1*x5*x4, x1*x2*x4*x5*x1*x4*x5*x1, x3, x1*x5*x1*x5, x1*x4*x5*x1*x4*x5 ] [ x5^3, x2*x5*x1*x5*x4, x1*x3*x4*x5*x1*x4*x5*x1, x2*x3, x1*x5*x1*x5, x1*x4*x5*x1*x4*x5 ] [ x5^3, x1*x4*x5*x1*x4*x5*x1, x2, x3, x1*x5*x1*x5, x1*x4*x5*x1*x4*x5 ] [ x5^3, x2*x3*x5*x1*x5*x4, x1*x4*x5*x1*x4*x5*x1, x2, x1*x5*x1*x5, x1*x4*x5*x1*x4*x5 ] [ x5^3, x5*x1*x5*x4, x1*x4*x5*x1*x4*x5*x1, x3, x1*x5*x1*x5, x1*x4*x5*x1*x4*x5 ] [ x5^3, x2*x3*x5*x1*x5*x4, x1*x4*x5*x1*x4*x5*x1, x2*x3, x1*x5*x1*x5, x1*x4*x5*x1*x4*x5 ] [ x5^3, x2*x5^2*x4, x2, x3, x1*x5*x1*x5, x1*x4*x5*x1*x4*x5 ] [ x5^3, x2*x3*x5*x1*x5*x4, x1*x3*x4*x5*x1*x4*x5*x1, x2, x1*x5*x1*x5, x1*x4*x5*x1*x4*x5 ] [ x5^3, x5*x1*x5*x4, x1*x2*x4*x5*x1*x4*x5*x1, x3, x1*x5*x1*x5, x1*x4*x5*x1*x4*x5 ] [ x5^3, x2*x3*x5*x1*x5*x4, x1*x3*x4*x5*x1*x4*x5*x1, x2*x3, x1*x5*x1*x5, x1*x4*x5*x1*x4*x5 ] [ x2*x5*x1*x5*x4, x1*x4*x5*x1*x4*x5*x1, x2, x3, x1*x5*x1*x5, x1*x4*x5*x1*x4*x5 ] [ x3*x5^3, x2*x5*x1*x5*x4, x1*x4*x5*x1*x4*x5*x1, x2, x1*x5*x1*x5, x1*x4*x5*x1*x4*x5 ] [ x2*x5^3, x2*x5*x1*x5*x4, x1*x4*x5*x1*x4*x5*x1, x3, x1*x5*x1*x5, x1*x4*x5*x1*x4*x5 ] [ x3*x5^3, x2*x5*x1*x5*x4, x1*x4*x5*x1*x4*x5*x1, x2*x3, x1*x5*x1*x5, x1*x4*x5*x1*x4*x5 ] [ x5*x1*x5^2, x2*x5*x1*x5*x4, x2, x3, x1*x5*x1*x5, x1*x4*x5*x1*x4*x5 ] [ x3*x5^3, x2*x5*x1*x5*x4, x1*x3*x4*x5*x1*x4*x5*x1, x2, x1*x5*x1*x5, x1*x4*x5*x1*x4*x5 ] [ x2*x5^3, x2*x5*x1*x5*x4, x1*x2*x4*x5*x1*x4*x5*x1, x3, x1*x5*x1*x5, x1*x4*x5*x1*x4*x5 ] [ x3*x5^3, x2*x5*x1*x5*x4, x1*x3*x4*x5*x1*x4*x5*x1, x2*x3, x1*x5*x1*x5, x1*x4*x5*x1*x4*x5 ] [ x2*x5*x1*x4*x5^2, x1*x4*x5*x1*x4*x5*x1, x2, x3, x1*x5*x1*x5, x1*x4*x5*x1*x4*x5 ] [ x3*x5^3, x2*x3*x5*x1*x5*x4, x1*x4*x5*x1*x4*x5*x1, x2, x1*x5*x1*x5, x1*x4*x5*x1*x4*x5 ] [ x2*x5^3, x5*x1*x5*x4, x1*x4*x5*x1*x4*x5*x1, x3, x1*x5*x1*x5, x1*x4*x5*x1*x4*x5 ] [ x3*x5^3, x2*x3*x5*x1*x5*x4, x1*x4*x5*x1*x4*x5*x1, x2*x3, x1*x5*x1*x5, x1*x4*x5*x1*x4*x5 ] [ x5*x1*x5^2, x2*x5^2*x4, x2, x3, x1*x5*x1*x5, x1*x4*x5*x1*x4*x5 ] [ x3*x5^3, x2*x3*x5*x1*x5*x4, x1*x3*x4*x5*x1*x4*x5*x1, x2, x1*x5*x1*x5, x1*x4*x5*x1*x4*x5 ] [ x2*x5^3, x5*x1*x5*x4, x1*x2*x4*x5*x1*x4*x5*x1, x3, x1*x5*x1*x5, x1*x4*x5*x1*x4*x5 ] [ x3*x5^3, x2*x3*x5*x1*x5*x4, x1*x3*x4*x5*x1*x4*x5*x1, x2*x3, x1*x5*x1*x5, x1*x4*x5*x1*x4*x5 ] [ x5^3, x2*x5*x1*x5*x4, x1*x4*x5*x1*x4*x5*x1, x2, x3, x1*x5*x1*x5 ] [ x5^3, x2*x5*x1*x5*x4, x1*x4*x5*x1*x4*x5*x1, x2, x3, x1*x4*x5*x1*x4*x5 ] [ x1*x2*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x4^2, x1*x2*x4^2, x5^2, x4^2 ] [ x1*x2*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x4^2, x3, x5^2, x4^2 ] [ x1*x2*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x4^2, x1*x2*x3*x4^2, x5^2, x4^2 ] [ x1*x2*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x2*x4^2, x3, x5^2, x4^2 ] [ x1*x2*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x3*x4^2, x1*x2*x4^2, x5^2, x4^2 ] [ x1*x2*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x2, x3, x5^2, x4^2 ] [ x1*x2*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x3*x4^2, x1*x2*x3*x4^2, x5^2, x4^2 ] [ x1*x2*x4^2*x1*x5^3, x1*x4^2, x1*x2*x4^2, x3, x5^2, x4^2 ] [ x1*x2*x4^2*x1*x5^3, x2*x3*x4^2*x1*x5^2*x4, x1*x4^2, x1*x2*x4^2, x5^2, x4^2 ] [ x1*x2*x4^2*x1*x5^3, x4^2*x5^2*x4, x1*x4^2, x3, x5^2, x4^2 ] [ x1*x2*x4^2*x1*x5^3, x2*x3*x4^2*x1*x5^2*x4, x1*x4^2, x1*x2*x3*x4^2, x5^2, x4^2 ] [ x1*x2*x4^2*x1*x5^3, x2*x4^2*x5^2*x4, x1*x2*x4^2, x3, x5^2, x4^2 ] [ x1*x2*x4^2*x1*x5^3, x2*x3*x4^2*x1*x5^2*x4, x1*x3*x4^2, x1*x2*x4^2, x5^2, x4^2 ] [ x1*x2*x4^2*x1*x5^3, x4^2*x5^2*x4, x2, x3, x5^2, x4^2 ] [ x1*x2*x4^2*x1*x5^3, x2*x3*x4^2*x1*x5^2*x4, x1*x3*x4^2, x1*x2*x3*x4^2, x5^2, x4^2 ] [ x2*x4^2*x1*x5^2*x4, x1*x4^2, x1*x2*x4^2, x3, x5^2, x4^2 ] [ x1*x2*x3*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x4^2, x1*x2*x4^2, x5^2, x4^2 ] [ x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x4^2, x3, x5^2, x4^2 ] [ x1*x2*x3*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x4^2, x1*x2*x3*x4^2, x5^2, x4^2 ] [ x1*x2*x5^3, x2*x4^2*x1*x5^2*x4, x1*x2*x4^2, x3, x5^2, x4^2 ] [ x1*x2*x3*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x3*x4^2, x1*x2*x4^2, x5^2, x4^2 ] [ x1*x5^3, x2*x4^2*x1*x5^2*x4, x2, x3, x5^2, x4^2 ] [ x1*x2*x3*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x3*x4^2, x1*x2*x3*x4^2, x5^2, x4^2 ] [ x1*x4^3*x5, x1*x4^2, x1*x2*x4^2, x3, x5^2, x4^2 ] [ x1*x2*x3*x4^2*x1*x5^3, x2*x3*x4^2*x1*x5^2*x4, x1*x4^2, x1*x2*x4^2, x5^2, x4^2 ] [ x1*x5^3, x4^2*x5^2*x4, x1*x4^2, x3, x5^2, x4^2 ] [ x1*x2*x3*x4^2*x1*x5^3, x2*x3*x4^2*x1*x5^2*x4, x1*x4^2, x1*x2*x3*x4^2, x5^2, x4^2 ] [ x1*x2*x5^3, x2*x4^2*x5^2*x4, x1*x2*x4^2, x3, x5^2, x4^2 ] [ x1*x2*x3*x4^2*x1*x5^3, x2*x3*x4^2*x1*x5^2*x4, x1*x3*x4^2, x1*x2*x4^2, x5^2, x4^2 ] [ x1*x5^3, x4^2*x5^2*x4, x2, x3, x5^2, x4^2 ] [ x1*x2*x3*x4^2*x1*x5^3, x2*x3*x4^2*x1*x5^2*x4, x1*x3*x4^2, x1*x2*x3*x4^2, x5^2, x4^2 ] [ x1*x2*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x4^2, x1*x2*x4^2, x3, x5^2 ] [ x1*x2*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x4^2, x1*x2*x4^2, x3, x4^2 ] [ x2*x5*x1*x5*x1*x5^3, x4, x3, x1*x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x2*x5*x1*x5*x1*x5^3, x4, x3, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x2*x5*x1*x5*x1*x5^3, x4, x3, x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x2*x5*x1*x5*x1*x5^3, x4, x1*x2, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x2*x5*x1*x5*x1*x5^3, x4, x1*x3, x1*x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x2*x5*x1*x5*x1*x5^3, x4, x1*x2*x3, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x2*x5*x1*x5*x1*x5^3, x4, x1*x3, x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x2*x5*x1*x5*x1*x5^3, x3, x1*x2, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x2*x5*x1*x5*x1*x5^3, x1*x4, x3, x1*x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x2*x5*x1*x5*x1*x5^3, x1*x2*x4, x3, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x2*x5*x1*x5*x1*x5^3, x1*x4, x3, x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x2*x5*x1*x5*x1*x5^3, x3*x4, x1*x2, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x2*x5*x1*x5*x1*x5^3, x1*x4, x1*x3, x1*x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x2*x5*x1*x5*x1*x5^3, x1*x2*x4, x1*x2*x3, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x2*x5*x1*x5*x1*x5^3, x1*x4, x1*x3, x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x4, x3, x1*x2, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x1*x2*x5*x1*x5*x1*x5^3, x4, x3, x1*x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x1*x5*x1*x5*x1*x5^3, x4, x3, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x1*x2*x5*x1*x5*x1*x5^3, x4, x3, x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x2*x3*x5*x1*x5*x1*x5^3, x4, x1*x2, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x1*x2*x5*x1*x5*x1*x5^3, x4, x1*x3, x1*x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x1*x5*x1*x5*x1*x5^3, x4, x1*x2*x3, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x1*x2*x5*x1*x5*x1*x5^3, x4, x1*x3, x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x2*x4*x5*x1*x5*x1*x5^3, x3, x1*x2, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x1*x2*x5*x1*x5*x1*x5^3, x1*x4, x3, x1*x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x1*x5*x1*x5*x1*x5^3, x1*x2*x4, x3, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x1*x2*x5*x1*x5*x1*x5^3, x1*x4, x3, x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x2*x3*x5*x1*x5*x1*x5^3, x3*x4, x1*x2, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x1*x2*x5*x1*x5*x1*x5^3, x1*x4, x1*x3, x1*x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x1*x5*x1*x5*x1*x5^3, x1*x2*x4, x1*x2*x3, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x1*x2*x5*x1*x5*x1*x5^3, x1*x4, x1*x3, x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x2*x5*x1*x5*x1*x5^3, x4, x3, x1*x2, x1, x1*x5*x1*x5 ] [ x2*x5*x1*x5*x1*x5^3, x4, x3, x1*x2, x1, x1*x5^2*x1 ] [ x1*x5*x1*x5*x1*x5, x4^3, x3, x1*x2, x1*x5*x1*x5, x4^2 ] [ x1*x5*x1*x5*x1*x5, x4^3, x3, x1, x1*x5*x1*x5, x4^2 ] [ x1*x5*x1*x5*x1*x5, x4^3, x3, x2, x1*x5*x1*x5, x4^2 ] [ x1*x5*x1*x5*x1*x5, x4^3, x1*x2, x1, x1*x5*x1*x5, x4^2 ] [ x1*x5*x1*x5*x1*x5, x4^3, x1*x3, x1*x2, x1*x5*x1*x5, x4^2 ] [ x1*x5*x1*x5*x1*x5, x4^3, x1*x2*x3, x1, x1*x5*x1*x5, x4^2 ] [ x1*x5*x1*x5*x1*x5, x4^3, x1*x3, x2, x1*x5*x1*x5, x4^2 ] [ x1*x5*x1*x5*x1*x5, x3, x1*x2, x1, x1*x5*x1*x5, x4^2 ] [ x1*x5*x1*x5*x1*x5, x1*x4^3, x3, x1*x2, x1*x5*x1*x5, x4^2 ] [ x1*x5*x1*x5*x1*x5, x1*x2*x4^3, x3, x1, x1*x5*x1*x5, x4^2 ] [ x1*x5*x1*x5*x1*x5, x1*x4^3, x3, x2, x1*x5*x1*x5, x4^2 ] [ x1*x5*x1*x5*x1*x5, x3*x4^3, x1*x2, x1, x1*x5*x1*x5, x4^2 ] [ x1*x5*x1*x5*x1*x5, x1*x4^3, x1*x3, x1*x2, x1*x5*x1*x5, x4^2 ] [ x1*x5*x1*x5*x1*x5, x1*x2*x4^3, x1*x2*x3, x1, x1*x5*x1*x5, x4^2 ] [ x1*x5*x1*x5*x1*x5, x1*x4^3, x1*x3, x2, x1*x5*x1*x5, x4^2 ] [ x4^3, x3, x1*x2, x1, x1*x5*x1*x5, x4^2 ] [ x5*x1*x5*x1*x5, x4^3, x3, x1*x2, x1*x5*x1*x5, x4^2 ] [ x2*x5*x1*x5*x1*x5, x4^3, x3, x1, x1*x5*x1*x5, x4^2 ] [ x5*x1*x5*x1*x5, x4^3, x3, x2, x1*x5*x1*x5, x4^2 ] [ x1*x3*x5*x1*x5*x1*x5, x4^3, x1*x2, x1, x1*x5*x1*x5, x4^2 ] [ x5*x1*x5*x1*x5, x4^3, x1*x3, x1*x2, x1*x5*x1*x5, x4^2 ] [ x2*x5*x1*x5*x1*x5, x4^3, x1*x2*x3, x1, x1*x5*x1*x5, x4^2 ] [ x5*x1*x5*x1*x5, x4^3, x1*x3, x2, x1*x5*x1*x5, x4^2 ] [ x1*x4^3*x5*x1*x5*x1*x5, x3, x1*x2, x1, x1*x5*x1*x5, x4^2 ] [ x5*x1*x5*x1*x5, x1*x4^3, x3, x1*x2, x1*x5*x1*x5, x4^2 ] [ x2*x5*x1*x5*x1*x5, x1*x2*x4^3, x3, x1, x1*x5*x1*x5, x4^2 ] [ x5*x1*x5*x1*x5, x1*x4^3, x3, x2, x1*x5*x1*x5, x4^2 ] [ x1*x3*x5*x1*x5*x1*x5, x3*x4^3, x1*x2, x1, x1*x5*x1*x5, x4^2 ] [ x5*x1*x5*x1*x5, x1*x4^3, x1*x3, x1*x2, x1*x5*x1*x5, x4^2 ] [ x2*x5*x1*x5*x1*x5, x1*x2*x4^3, x1*x2*x3, x1, x1*x5*x1*x5, x4^2 ] [ x5*x1*x5*x1*x5, x1*x4^3, x1*x3, x2, x1*x5*x1*x5, x4^2 ] [ x1*x5*x1*x5*x1*x5, x4^3, x3, x1*x2, x1, x1*x5*x1*x5 ] [ x1*x5*x1*x5*x1*x5, x4^3, x3, x1*x2, x1, x4^2 ] [ x1*x5*x1*x5*x1*x5, x4^3, x3, x1*x2, x1, x1*x4^2*x5*x1*x5 ] [ x1*x5*x1*x5*x1*x5, x4^3, x3, x1*x2, x1, x4^2*x1*x5*x1*x5 ] [ x1*x2*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x4^2, x1*x2*x4^2, x5^2, x4^2 ] [ x1*x2*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x4^2, x3, x5^2, x4^2 ] [ x1*x2*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x4^2, x1*x2*x3*x4^2, x5^2, x4^2 ] [ x1*x2*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x2*x4^2, x3, x5^2, x4^2 ] [ x1*x2*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x3*x4^2, x1*x2*x4^2, x5^2, x4^2 ] [ x1*x2*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x2, x3, x5^2, x4^2 ] [ x1*x2*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x3*x4^2, x1*x2*x3*x4^2, x5^2, x4^2 ] [ x1*x2*x4^2*x1*x5^3, x1*x4^2, x1*x2*x4^2, x3, x5^2, x4^2 ] [ x1*x2*x4^2*x1*x5^3, x2*x3*x4^2*x1*x5^2*x4, x1*x4^2, x1*x2*x4^2, x5^2, x4^2 ] [ x1*x2*x4^2*x1*x5^3, x4^2*x5^2*x4, x1*x4^2, x3, x5^2, x4^2 ] [ x1*x2*x4^2*x1*x5^3, x2*x3*x4^2*x1*x5^2*x4, x1*x4^2, x1*x2*x3*x4^2, x5^2, x4^2 ] [ x1*x2*x4^2*x1*x5^3, x2*x4^2*x5^2*x4, x1*x2*x4^2, x3, x5^2, x4^2 ] [ x1*x2*x4^2*x1*x5^3, x2*x3*x4^2*x1*x5^2*x4, x1*x3*x4^2, x1*x2*x4^2, x5^2, x4^2 ] [ x1*x2*x4^2*x1*x5^3, x4^2*x5^2*x4, x2, x3, x5^2, x4^2 ] [ x1*x2*x4^2*x1*x5^3, x2*x3*x4^2*x1*x5^2*x4, x1*x3*x4^2, x1*x2*x3*x4^2, x5^2, x4^2 ] [ x2*x4^2*x1*x5^2*x4, x1*x4^2, x1*x2*x4^2, x3, x5^2, x4^2 ] [ x1*x2*x3*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x4^2, x1*x2*x4^2, x5^2, x4^2 ] [ x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x4^2, x3, x5^2, x4^2 ] [ x1*x2*x3*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x4^2, x1*x2*x3*x4^2, x5^2, x4^2 ] [ x1*x2*x5^3, x2*x4^2*x1*x5^2*x4, x1*x2*x4^2, x3, x5^2, x4^2 ] [ x1*x2*x3*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x3*x4^2, x1*x2*x4^2, x5^2, x4^2 ] [ x1*x5^3, x2*x4^2*x1*x5^2*x4, x2, x3, x5^2, x4^2 ] [ x1*x2*x3*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x3*x4^2, x1*x2*x3*x4^2, x5^2, x4^2 ] [ x1*x4^3*x5, x1*x4^2, x1*x2*x4^2, x3, x5^2, x4^2 ] [ x1*x2*x3*x4^2*x1*x5^3, x2*x3*x4^2*x1*x5^2*x4, x1*x4^2, x1*x2*x4^2, x5^2, x4^2 ] [ x1*x5^3, x4^2*x5^2*x4, x1*x4^2, x3, x5^2, x4^2 ] [ x1*x2*x3*x4^2*x1*x5^3, x2*x3*x4^2*x1*x5^2*x4, x1*x4^2, x1*x2*x3*x4^2, x5^2, x4^2 ] [ x1*x2*x5^3, x2*x4^2*x5^2*x4, x1*x2*x4^2, x3, x5^2, x4^2 ] [ x1*x2*x3*x4^2*x1*x5^3, x2*x3*x4^2*x1*x5^2*x4, x1*x3*x4^2, x1*x2*x4^2, x5^2, x4^2 ] [ x1*x5^3, x4^2*x5^2*x4, x2, x3, x5^2, x4^2 ] [ x1*x2*x3*x4^2*x1*x5^3, x2*x3*x4^2*x1*x5^2*x4, x1*x3*x4^2, x1*x2*x3*x4^2, x5^2, x4^2 ] [ x1*x2*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x4^2, x1*x2*x4^2, x3, x5^2 ] [ x1*x2*x4^2*x1*x5^3, x2*x4^2*x1*x5^2*x4, x1*x4^2, x1*x2*x4^2, x3, x4^2 ] [ x3*x5*x1*x5*x1*x5^3, x4, x1*x2*x3, x1*x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x3*x5*x1*x5*x1*x5^3, x4, x1*x2*x3, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x3*x5*x1*x5*x1*x5^3, x4, x1*x2*x3, x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x3*x5*x1*x5*x1*x5^3, x4, x1*x2, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x3*x5*x1*x5*x1*x5^3, x4, x2*x3, x1*x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x3*x5*x1*x5*x1*x5^3, x4, x3, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x3*x5*x1*x5*x1*x5^3, x4, x2*x3, x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x3*x5*x1*x5*x1*x5^3, x1*x2*x3, x1*x2, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x3*x5*x1*x5*x1*x5^3, x1*x4, x1*x2*x3, x1*x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x3*x5*x1*x5*x1*x5^3, x1*x2*x4, x1*x2*x3, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x3*x5*x1*x5*x1*x5^3, x1*x4, x1*x2*x3, x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x3*x5*x1*x5*x1*x5^3, x1*x2*x3*x4, x1*x2, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x3*x5*x1*x5*x1*x5^3, x1*x4, x2*x3, x1*x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x3*x5*x1*x5*x1*x5^3, x1*x2*x4, x3, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x3*x5*x1*x5*x1*x5^3, x1*x4, x2*x3, x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x4, x1*x2*x3, x1*x2, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x1*x3*x5*x1*x5*x1*x5^3, x4, x1*x2*x3, x1*x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x1*x2*x3*x5*x1*x5*x1*x5^3, x4, x1*x2*x3, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x1*x3*x5*x1*x5*x1*x5^3, x4, x1*x2*x3, x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x1*x2*x5*x1*x5*x1*x5^3, x4, x1*x2, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x1*x3*x5*x1*x5*x1*x5^3, x4, x2*x3, x1*x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x1*x2*x3*x5*x1*x5*x1*x5^3, x4, x3, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x1*x3*x5*x1*x5*x1*x5^3, x4, x2*x3, x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x3*x4*x5*x1*x5*x1*x5^3, x1*x2*x3, x1*x2, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x1*x3*x5*x1*x5*x1*x5^3, x1*x4, x1*x2*x3, x1*x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x1*x2*x3*x5*x1*x5*x1*x5^3, x1*x2*x4, x1*x2*x3, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x1*x3*x5*x1*x5*x1*x5^3, x1*x4, x1*x2*x3, x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x1*x2*x5*x1*x5*x1*x5^3, x1*x2*x3*x4, x1*x2, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x1*x3*x5*x1*x5*x1*x5^3, x1*x4, x2*x3, x1*x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x1*x2*x3*x5*x1*x5*x1*x5^3, x1*x2*x4, x3, x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x1*x3*x5*x1*x5*x1*x5^3, x1*x4, x2*x3, x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x3*x5*x1*x5*x1*x5^3, x4, x1*x2*x3, x1*x2, x1, x1*x5^2*x1 ] [ x3*x5*x1*x5*x1*x5^3, x4, x1*x2*x3, x1*x2, x1, x1*x5*x1*x5 ] [ x5^3, x4, x2*x3, x2, x1*x5*x1*x5, x2*x5*x2*x5 ] [ x5^3, x4, x2*x3, x1, x1*x5*x1*x5, x2*x5*x2*x5 ] [ x5^3, x4, x2*x3, x1*x2, x1*x5*x1*x5, x2*x5*x2*x5 ] [ x5^3, x4, x2, x1, x1*x5*x1*x5, x2*x5*x2*x5 ] [ x5^3, x4, x1*x2*x3, x2, x1*x5*x1*x5, x2*x5*x2*x5 ] [ x5^3, x4, x3, x1, x1*x5*x1*x5, x2*x5*x2*x5 ] [ x5^3, x4, x1*x2*x3, x1*x2, x1*x5*x1*x5, x2*x5*x2*x5 ] [ x5^3, x2*x3, x2, x1, x1*x5*x1*x5, x2*x5*x2*x5 ] [ x5^3, x1*x4, x2*x3, x2, x1*x5*x1*x5, x2*x5*x2*x5 ] [ x5^3, x2*x4, x2*x3, x1, x1*x5*x1*x5, x2*x5*x2*x5 ] [ x5^3, x1*x4, x2*x3, x1*x2, x1*x5*x1*x5, x2*x5*x2*x5 ] [ x5^3, x2*x3*x4, x2, x1, x1*x5*x1*x5, x2*x5*x2*x5 ] [ x5^3, x1*x4, x1*x2*x3, x2, x1*x5*x1*x5, x2*x5*x2*x5 ] [ x5^3, x2*x4, x3, x1, x1*x5*x1*x5, x2*x5*x2*x5 ] [ x5^3, x1*x4, x1*x2*x3, x1*x2, x1*x5*x1*x5, x2*x5*x2*x5 ] [ x4, x2*x3, x2, x1, x1*x5*x1*x5, x2*x5*x2*x5 ] [ x1*x5^3, x4, x2*x3, x2, x1*x5*x1*x5, x2*x5*x2*x5 ] [ x2*x5^3, x4, x2*x3, x1, x1*x5*x1*x5, x2*x5*x2*x5 ] [ x1*x5^3, x4, x2*x3, x1*x2, x1*x5*x1*x5, x2*x5*x2*x5 ] [ x2*x3*x5^3, x4, x2, x1, x1*x5*x1*x5, x2*x5*x2*x5 ] [ x1*x5^3, x4, x1*x2*x3, x2, x1*x5*x1*x5, x2*x5*x2*x5 ] [ x2*x5^3, x4, x3, x1, x1*x5*x1*x5, x2*x5*x2*x5 ] [ x1*x5^3, x4, x1*x2*x3, x1*x2, x1*x5*x1*x5, x2*x5*x2*x5 ] [ x4*x5^3, x2*x3, x2, x1, x1*x5*x1*x5, x2*x5*x2*x5 ] [ x1*x5^3, x1*x4, x2*x3, x2, x1*x5*x1*x5, x2*x5*x2*x5 ] [ x2*x5^3, x2*x4, x2*x3, x1, x1*x5*x1*x5, x2*x5*x2*x5 ] [ x1*x5^3, x1*x4, x2*x3, x1*x2, x1*x5*x1*x5, x2*x5*x2*x5 ] [ x2*x3*x5^3, x2*x3*x4, x2, x1, x1*x5*x1*x5, x2*x5*x2*x5 ] [ x1*x5^3, x1*x4, x1*x2*x3, x2, x1*x5*x1*x5, x2*x5*x2*x5 ] [ x2*x5^3, x2*x4, x3, x1, x1*x5*x1*x5, x2*x5*x2*x5 ] [ x1*x5^3, x1*x4, x1*x2*x3, x1*x2, x1*x5*x1*x5, x2*x5*x2*x5 ] [ x5^3, x4, x2*x3, x2, x1, x1*x5*x1*x5 ] [ x5^3, x4, x2*x3, x2, x1, x2*x5*x2*x5 ] [ x1*x2*x4^4*x5^3, x1*x3, x1*x2, x1, x4^2, x5^2 ] [ x1*x2*x4^4*x5^3, x1*x3, x1*x2, x1*x3*x4^2*x5^2*x4, x4^2, x5^2 ] [ x1*x2*x4^4*x5^3, x1*x3, x1*x2, x3*x4^2*x5^2*x4, x4^2, x5^2 ] [ x1*x2*x4^4*x5^3, x1*x3, x1, x1*x3*x4^2*x5^2*x4, x4^2, x5^2 ] [ x1*x2*x4^4*x5^3, x1*x3, x2*x3*x4^2*x5^2*x4, x1, x4^2, x5^2 ] [ x1*x2*x4^4*x5^3, x1*x3, x2, x1*x3*x4^2*x5^2*x4, x4^2, x5^2 ] [ x1*x2*x4^4*x5^3, x1*x3, x2*x3*x4^2*x5^2*x4, x3*x4^2*x5^2*x4, x4^2, x5^2 ] [ x1*x2*x4^4*x5^3, x1*x2, x1, x1*x3*x4^2*x5^2*x4, x4^2, x5^2 ] [ x1*x2*x4^4*x5^3, x4^2*x5^2*x4, x1*x2, x1, x4^2, x5^2 ] [ x1*x2*x4^4*x5^3, x3, x1*x2, x1*x3*x4^2*x5^2*x4, x4^2, x5^2 ] [ x1*x2*x4^4*x5^3, x4^2*x5^2*x4, x1*x2, x3*x4^2*x5^2*x4, x4^2, x5^2 ] [ x1*x2*x4^4*x5^3, x2*x3, x1, x1*x3*x4^2*x5^2*x4, x4^2, x5^2 ] [ x1*x2*x4^4*x5^3, x4^2*x5^2*x4, x2*x3*x4^2*x5^2*x4, x1, x4^2, x5^2 ] [ x1*x2*x4^4*x5^3, x3, x2, x1*x3*x4^2*x5^2*x4, x4^2, x5^2 ] [ x1*x2*x4^4*x5^3, x4^2*x5^2*x4, x2*x3*x4^2*x5^2*x4, x3*x4^2*x5^2*x4, x4^2, x5^2 ] [ x1*x3, x1*x2, x1, x1*x3*x4^2*x5^2*x4, x4^2, x5^2 ] [ x2*x3*x4*x5, x1*x3, x1*x2, x1, x4^2, x5^2 ] [ x2*x4^4*x5^3, x1*x3, x1*x2, x1*x3*x4^2*x5^2*x4, x4^2, x5^2 ] [ x2*x3*x4*x5, x1*x3, x1*x2, x3*x4^2*x5^2*x4, x4^2, x5^2 ] [ x4^4*x5^3, x1*x3, x1, x1*x3*x4^2*x5^2*x4, x4^2, x5^2 ] [ x2*x3*x4*x5, x1*x3, x2*x3*x4^2*x5^2*x4, x1, x4^2, x5^2 ] [ x2*x4^4*x5^3, x1*x3, x2, x1*x3*x4^2*x5^2*x4, x4^2, x5^2 ] [ x2*x3*x4*x5, x1*x3, x2*x3*x4^2*x5^2*x4, x3*x4^2*x5^2*x4, x4^2, x5^2 ] [ x2*x3*x4^4*x5^3, x1*x2, x1, x1*x3*x4^2*x5^2*x4, x4^2, x5^2 ] [ x2*x3*x4*x5, x4^2*x5^2*x4, x1*x2, x1, x4^2, x5^2 ] [ x2*x4^4*x5^3, x3, x1*x2, x1*x3*x4^2*x5^2*x4, x4^2, x5^2 ] [ x2*x3*x4*x5, x4^2*x5^2*x4, x1*x2, x3*x4^2*x5^2*x4, x4^2, x5^2 ] [ x4^4*x5^3, x2*x3, x1, x1*x3*x4^2*x5^2*x4, x4^2, x5^2 ] [ x2*x3*x4*x5, x4^2*x5^2*x4, x2*x3*x4^2*x5^2*x4, x1, x4^2, x5^2 ] [ x2*x4^4*x5^3, x3, x2, x1*x3*x4^2*x5^2*x4, x4^2, x5^2 ] [ x2*x3*x4*x5, x4^2*x5^2*x4, x2*x3*x4^2*x5^2*x4, x3*x4^2*x5^2*x4, x4^2, x5^2 ] [ x1*x2*x4^4*x5^3, x1*x3, x1*x2, x1, x1*x3*x4^2*x5^2*x4, x4^2 ] [ x1*x2*x4^4*x5^3, x1*x3, x1*x2, x1, x1*x3*x4^2*x5^2*x4, x5^2 ] [ x5*x1*x5*x1*x5, x3*x4, x3, x2*x5^2, x5^2, x1*x2*x5*x1*x2*x5 ] [ x5*x1*x5*x1*x5, x3*x4, x3, x1, x5^2, x1*x2*x5*x1*x2*x5 ] [ x5*x1*x5*x1*x5, x3*x4, x3, x1*x2*x5^2, x5^2, x1*x2*x5*x1*x2*x5 ] [ x5*x1*x5*x1*x5, x3*x4, x2*x5^2, x1, x5^2, x1*x2*x5*x1*x2*x5 ] [ x5*x1*x5*x1*x5, x3*x4, x1*x3, x2*x5^2, x5^2, x1*x2*x5*x1*x2*x5 ] [ x5*x1*x5*x1*x5, x3*x4, x2*x3*x5^2, x1, x5^2, x1*x2*x5*x1*x2*x5 ] [ x5*x1*x5*x1*x5, x3*x4, x1*x3, x1*x2*x5^2, x5^2, x1*x2*x5*x1*x2*x5 ] [ x5*x1*x5*x1*x5, x3, x2*x5^2, x1, x5^2, x1*x2*x5*x1*x2*x5 ] [ x5*x1*x5*x1*x5, x1*x3*x4, x3, x2*x5^2, x5^2, x1*x2*x5*x1*x2*x5 ] [ x5*x1*x5*x1*x5, x2*x3*x4*x5^2, x3, x1, x5^2, x1*x2*x5*x1*x2*x5 ] [ x5*x1*x5*x1*x5, x1*x3*x4, x3, x1*x2*x5^2, x5^2, x1*x2*x5*x1*x2*x5 ] [ x5*x1*x5*x1*x5, x4, x2*x5^2, x1, x5^2, x1*x2*x5*x1*x2*x5 ] [ x5*x1*x5*x1*x5, x1*x3*x4, x1*x3, x2*x5^2, x5^2, x1*x2*x5*x1*x2*x5 ] [ x5*x1*x5*x1*x5, x2*x3*x4*x5^2, x2*x3*x5^2, x1, x5^2, x1*x2*x5*x1*x2*x5 ] [ x5*x1*x5*x1*x5, x1*x3*x4, x1*x3, x1*x2*x5^2, x5^2, x1*x2*x5*x1*x2*x5 ] [ x3*x4, x3, x2*x5^2, x1, x5^2, x1*x2*x5*x1*x2*x5 ] [ x1*x5*x1*x5*x1*x5, x3*x4, x3, x2*x5^2, x5^2, x1*x2*x5*x1*x2*x5 ] [ x5*x1*x5*x1*x2*x5, x3*x4, x3, x1, x5^2, x1*x2*x5*x1*x2*x5 ] [ x1*x5*x1*x5*x1*x5, x3*x4, x3, x1*x2*x5^2, x5^2, x1*x2*x5*x1*x2*x5 ] [ x3*x5*x1*x5*x1*x5, x3*x4, x2*x5^2, x1, x5^2, x1*x2*x5*x1*x2*x5 ] [ x1*x5*x1*x5*x1*x5, x3*x4, x1*x3, x2*x5^2, x5^2, x1*x2*x5*x1*x2*x5 ] [ x5*x1*x5*x1*x2*x5, x3*x4, x2*x3*x5^2, x1, x5^2, x1*x2*x5*x1*x2*x5 ] [ x1*x5*x1*x5*x1*x5, x3*x4, x1*x3, x1*x2*x5^2, x5^2, x1*x2*x5*x1*x2*x5 ] [ x3*x4*x5*x1*x5*x1*x5, x3, x2*x5^2, x1, x5^2, x1*x2*x5*x1*x2*x5 ] [ x1*x5*x1*x5*x1*x5, x1*x3*x4, x3, x2*x5^2, x5^2, x1*x2*x5*x1*x2*x5 ] [ x5*x1*x5*x1*x2*x5, x2*x3*x4*x5^2, x3, x1, x5^2, x1*x2*x5*x1*x2*x5 ] [ x1*x5*x1*x5*x1*x5, x1*x3*x4, x3, x1*x2*x5^2, x5^2, x1*x2*x5*x1*x2*x5 ] [ x3*x5*x1*x5*x1*x5, x4, x2*x5^2, x1, x5^2, x1*x2*x5*x1*x2*x5 ] [ x1*x5*x1*x5*x1*x5, x1*x3*x4, x1*x3, x2*x5^2, x5^2, x1*x2*x5*x1*x2*x5 ] [ x5*x1*x5*x1*x2*x5, x2*x3*x4*x5^2, x2*x3*x5^2, x1, x5^2, x1*x2*x5*x1*x2*x5 ] [ x1*x5*x1*x5*x1*x5, x1*x3*x4, x1*x3, x1*x2*x5^2, x5^2, x1*x2*x5*x1*x2*x5 ] [ x5*x1*x5*x1*x5, x3*x4, x3, x2*x5^2, x1, x5^2 ] [ x5*x1*x5*x1*x5, x3*x4, x3, x2*x5^2, x1, x1*x2*x5*x1*x2*x5 ] [ x5^3, x1*x4, x1*x3, x1*x2, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ] [ x5^3, x1*x4, x1*x3, x1, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ] [ x5^3, x1*x4, x1*x3, x2, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ] [ x5^3, x1*x4, x1*x2, x1, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ] [ x5^3, x1*x4, x3, x1*x2, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ] [ x5^3, x1*x4, x2*x3, x1, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ] [ x5^3, x1*x4, x3, x2, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ] [ x5^3, x1*x3, x1*x2, x1, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ] [ x5^3, x4, x1*x3, x1*x2, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ] [ x5^3, x2*x4, x1*x3, x1, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ] [ x5^3, x4, x1*x3, x2, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ] [ x5^3, x3*x4, x1*x2, x1, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ] [ x5^3, x4, x3, x1*x2, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ] [ x5^3, x2*x4, x2*x3, x1, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ] [ x5^3, x4, x3, x2, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ] [ x1*x4, x1*x3, x1*x2, x1, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ] [ x1*x5^3, x1*x4, x1*x3, x1*x2, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ] [ x1*x2*x5^3, x1*x4, x1*x3, x1, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ] [ x1*x5^3, x1*x4, x1*x3, x2, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ] [ x1*x3*x5^3, x1*x4, x1*x2, x1, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ] [ x1*x5^3, x1*x4, x3, x1*x2, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ] [ x1*x2*x5^3, x1*x4, x2*x3, x1, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ] [ x1*x5^3, x1*x4, x3, x2, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ] [ x1*x4*x5^3, x1*x3, x1*x2, x1, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ] [ x1*x5^3, x4, x1*x3, x1*x2, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ] [ x1*x2*x5^3, x2*x4, x1*x3, x1, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ] [ x1*x5^3, x4, x1*x3, x2, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ] [ x1*x3*x5^3, x3*x4, x1*x2, x1, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ] [ x1*x5^3, x4, x3, x1*x2, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ] [ x1*x2*x5^3, x2*x4, x2*x3, x1, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ] [ x1*x5^3, x4, x3, x2, x1*x5*x1*x5, x1*x2*x5*x1*x2*x5 ] [ x5^3, x1*x4, x1*x3, x1*x2, x1, x1*x2*x5*x1*x2*x5 ] [ x5^3, x1*x4, x1*x3, x1*x2, x1, x1*x5*x1*x5 ] [ x2*x5^3*x2, x3*x4, x3, x5*x2*x5, x2*x5*x2*x5, x2*x5*x2*x5^3 ] [ x2*x5^3*x2, x3*x4, x3, x1, x2*x5*x2*x5, x2*x5*x2*x5^3 ] [ x2*x5^3*x2, x3*x4, x3, x1*x5*x2*x5, x2*x5*x2*x5, x2*x5*x2*x5^3 ] [ x2*x5^3*x2, x3*x4, x5*x2*x5, x1, x2*x5*x2*x5, x2*x5*x2*x5^3 ] [ x2*x5^3*x2, x3*x4, x1*x3, x5*x2*x5, x2*x5*x2*x5, x2*x5*x2*x5^3 ] [ x2*x5^3*x2, x3*x4, x3*x5*x2*x5, x1, x2*x5*x2*x5, x2*x5*x2*x5^3 ] [ x2*x5^3*x2, x3*x4, x1*x3, x1*x5*x2*x5, x2*x5*x2*x5, x2*x5*x2*x5^3 ] [ x2*x5^3*x2, x3, x5*x2*x5, x1, x2*x5*x2*x5, x2*x5*x2*x5^3 ] [ x2*x5^3*x2, x1*x3*x4, x3, x5*x2*x5, x2*x5*x2*x5, x2*x5*x2*x5^3 ] [ x2*x5^3*x2, x3*x4*x5*x2*x5, x3, x1, x2*x5*x2*x5, x2*x5*x2*x5^3 ] [ x2*x5^3*x2, x1*x3*x4, x3, x1*x5*x2*x5, x2*x5*x2*x5, x2*x5*x2*x5^3 ] [ x2*x5^3*x2, x4, x5*x2*x5, x1, x2*x5*x2*x5, x2*x5*x2*x5^3 ] [ x2*x5^3*x2, x1*x3*x4, x1*x3, x5*x2*x5, x2*x5*x2*x5, x2*x5*x2*x5^3 ] [ x2*x5^3*x2, x3*x4*x5*x2*x5, x3*x5*x2*x5, x1, x2*x5*x2*x5, x2*x5*x2*x5^3 ] [ x2*x5^3*x2, x1*x3*x4, x1*x3, x1*x5*x2*x5, x2*x5*x2*x5, x2*x5*x2*x5^3 ] [ x3*x4, x3, x5*x2*x5, x1, x2*x5*x2*x5, x2*x5*x2*x5^3 ] [ x1*x2*x5^3*x2, x3*x4, x3, x5*x2*x5, x2*x5*x2*x5, x2*x5*x2*x5^3 ] [ x2*x5*x2*x5*x2*x5^3, x3*x4, x3, x1, x2*x5*x2*x5, x2*x5*x2*x5^3 ] [ x1*x2*x5^3*x2, x3*x4, x3, x1*x5*x2*x5, x2*x5*x2*x5, x2*x5*x2*x5^3 ] [ x2*x3*x5^3*x2, x3*x4, x5*x2*x5, x1, x2*x5*x2*x5, x2*x5*x2*x5^3 ] [ x1*x2*x5^3*x2, x3*x4, x1*x3, x5*x2*x5, x2*x5*x2*x5, x2*x5*x2*x5^3 ] [ x2*x5*x2*x5*x2*x5^3, x3*x4, x3*x5*x2*x5, x1, x2*x5*x2*x5, x2*x5*x2*x5^3 ] [ x1*x2*x5^3*x2, x3*x4, x1*x3, x1*x5*x2*x5, x2*x5*x2*x5, x2*x5*x2*x5^3 ] [ x2*x3*x4*x5^3*x2, x3, x5*x2*x5, x1, x2*x5*x2*x5, x2*x5*x2*x5^3 ] [ x1*x2*x5^3*x2, x1*x3*x4, x3, x5*x2*x5, x2*x5*x2*x5, x2*x5*x2*x5^3 ] [ x2*x5*x2*x5*x2*x5^3, x3*x4*x5*x2*x5, x3, x1, x2*x5*x2*x5, x2*x5*x2*x5^3 ] [ x1*x2*x5^3*x2, x1*x3*x4, x3, x1*x5*x2*x5, x2*x5*x2*x5, x2*x5*x2*x5^3 ] [ x2*x3*x5^3*x2, x4, x5*x2*x5, x1, x2*x5*x2*x5, x2*x5*x2*x5^3 ] [ x1*x2*x5^3*x2, x1*x3*x4, x1*x3, x5*x2*x5, x2*x5*x2*x5, x2*x5*x2*x5^3 ] [ x2*x5*x2*x5*x2*x5^3, x3*x4*x5*x2*x5, x3*x5*x2*x5, x1, x2*x5*x2*x5, x2*x5*x2*x5^3 ] [ x1*x2*x5^3*x2, x1*x3*x4, x1*x3, x1*x5*x2*x5, x2*x5*x2*x5, x2*x5*x2*x5^3 ] [ x2*x5^3*x2, x3*x4, x3, x5*x2*x5, x1, x2*x5*x2*x5 ] [ x2*x5^3*x2, x3*x4, x3, x5*x2*x5, x1, x2*x5^2*x2 ] [ x1*x3*x5^3, x4*x5*x1*x5*x1, x3*x5*x1*x5*x1, x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x1*x3*x5^3, x4*x5*x1*x5*x1, x3*x5*x1*x5*x1, x1*x5*x1*x5*x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x1*x3*x5^3, x4*x5*x1*x5*x1, x3*x5*x1*x5*x1, x1*x2*x5*x1*x5*x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x1*x3*x5^3, x4*x5*x1*x5*x1, x2, x1*x5*x1*x5*x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x1*x3*x5^3, x4*x5*x1*x5*x1, x1*x3, x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x1*x3*x5^3, x4*x5*x1*x5*x1, x2*x3*x5*x1*x5*x1, x1*x5*x1*x5*x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x1*x3*x5^3, x4*x5*x1*x5*x1, x1*x3, x1*x2*x5*x1*x5*x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x1*x3*x5^3, x3*x5*x1*x5*x1, x2, x1*x5*x1*x5*x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x1*x3*x5^3, x1*x4, x3*x5*x1*x5*x1, x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x1*x3*x5^3, x2*x4*x5*x1*x5*x1, x3*x5*x1*x5*x1, x1*x5*x1*x5*x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x1*x3*x5^3, x1*x4, x3*x5*x1*x5*x1, x1*x2*x5*x1*x5*x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x1*x3*x5^3, x3*x4, x2, x1*x5*x1*x5*x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x1*x3*x5^3, x1*x4, x1*x3, x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x1*x3*x5^3, x2*x4*x5*x1*x5*x1, x2*x3*x5*x1*x5*x1, x1*x5*x1*x5*x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x1*x3*x5^3, x1*x4, x1*x3, x1*x2*x5*x1*x5*x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x4*x5*x1*x5*x1, x3*x5*x1*x5*x1, x2, x1*x5*x1*x5*x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x3*x5*x1*x5*x1*x5^3, x4*x5*x1*x5*x1, x3*x5*x1*x5*x1, x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x1*x2*x3*x5^3, x4*x5*x1*x5*x1, x3*x5*x1*x5*x1, x1*x5*x1*x5*x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x3*x5*x1*x5*x1*x5^3, x4*x5*x1*x5*x1, x3*x5*x1*x5*x1, x1*x2*x5*x1*x5*x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x1*x5*x1*x5*x1*x5^3, x4*x5*x1*x5*x1, x2, x1*x5*x1*x5*x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x3*x5*x1*x5*x1*x5^3, x4*x5*x1*x5*x1, x1*x3, x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x1*x2*x3*x5^3, x4*x5*x1*x5*x1, x2*x3*x5*x1*x5*x1, x1*x5*x1*x5*x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x3*x5*x1*x5*x1*x5^3, x4*x5*x1*x5*x1, x1*x3, x1*x2*x5*x1*x5*x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x1*x3*x4*x5*x1*x5*x1*x5^3, x3*x5*x1*x5*x1, x2, x1*x5*x1*x5*x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x3*x5*x1*x5*x1*x5^3, x1*x4, x3*x5*x1*x5*x1, x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x1*x2*x3*x5^3, x2*x4*x5*x1*x5*x1, x3*x5*x1*x5*x1, x1*x5*x1*x5*x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x3*x5*x1*x5*x1*x5^3, x1*x4, x3*x5*x1*x5*x1, x1*x2*x5*x1*x5*x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x1*x5*x1*x5*x1*x5^3, x3*x4, x2, x1*x5*x1*x5*x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x3*x5*x1*x5*x1*x5^3, x1*x4, x1*x3, x2, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x1*x2*x3*x5^3, x2*x4*x5*x1*x5*x1, x2*x3*x5*x1*x5*x1, x1*x5*x1*x5*x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x3*x5*x1*x5*x1*x5^3, x1*x4, x1*x3, x1*x2*x5*x1*x5*x1, x1*x5*x1*x5, x1*x5*x1*x5^3 ] [ x1*x3*x5^3, x4*x5*x1*x5*x1, x3*x5*x1*x5*x1, x2, x1*x5*x1*x5*x1, x1*x5*x1*x5 ] [ x1*x3*x5^3, x4*x5*x1*x5*x1, x3*x5*x1*x5*x1, x2, x1*x5*x1*x5*x1, x1*x5^2*x1 ] [ x1*x2*x4*x1*x2*x4*x5, x4^3, x1*x3*x4*x1*x2*x4*x1, x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4, x4^2 ] [ x1*x2*x4*x1*x2*x4*x5, x4^3, x1*x3*x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4, x4^2 ] [ x1*x2*x4*x1*x2*x4*x5, x4^3, x1*x3*x4*x1*x2*x4*x1, x1*x2, x1*x2*x4*x1*x2*x4, x4^2 ] [ x1*x2*x4*x1*x2*x4*x5, x4^3, x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4, x4^2 ] [ x1*x2*x4*x1*x2*x4*x5, x4^3, x2*x3, x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4, x4^2 ] [ x1*x2*x4*x1*x2*x4*x5, x4^3, x1*x3, x1*x2*x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4, x4^2 ] [ x1*x2*x4*x1*x2*x4*x5, x4^3, x2*x3, x1*x2, x1*x2*x4*x1*x2*x4, x4^2 ] [ x1*x2*x4*x1*x2*x4*x5, x1*x3*x4*x1*x2*x4*x1, x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4, x4^2 ] [ x1*x2*x4*x1*x2*x4*x5, x1*x2*x4*x2*x4^2, x1*x3*x4*x1*x2*x4*x1, x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4, x4^2 ] [ x1*x2*x4*x1*x2*x4*x5, x4*x2*x4^2, x1*x3*x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4, x4^2 ] [ x1*x2*x4*x1*x2*x4*x5, x1*x2*x4*x2*x4^2, x1*x3*x4*x1*x2*x4*x1, x1*x2, x1*x2*x4*x1*x2*x4, x4^2 ] [ x1*x2*x4*x1*x2*x4*x5, x1*x3*x4*x2*x4^2, x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4, x4^2 ] [ x1*x2*x4*x1*x2*x4*x5, x1*x2*x4*x2*x4^2, x2*x3, x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4, x4^2 ] [ x1*x2*x4*x1*x2*x4*x5, x4*x2*x4^2, x1*x3, x1*x2*x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4, x4^2 ] [ x1*x2*x4*x1*x2*x4*x5, x1*x2*x4*x2*x4^2, x2*x3, x1*x2, x1*x2*x4*x1*x2*x4, x4^2 ] [ x4^3, x1*x3*x4*x1*x2*x4*x1, x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4, x4^2 ] [ x1*x5, x4^3, x1*x3*x4*x1*x2*x4*x1, x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4, x4^2 ] [ x2*x5, x4^3, x1*x3*x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4, x4^2 ] [ x1*x5, x4^3, x1*x3*x4*x1*x2*x4*x1, x1*x2, x1*x2*x4*x1*x2*x4, x4^2 ] [ x1*x2*x3*x5, x4^3, x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4, x4^2 ] [ x1*x5, x4^3, x2*x3, x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4, x4^2 ] [ x2*x5, x4^3, x1*x3, x1*x2*x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4, x4^2 ] [ x1*x5, x4^3, x2*x3, x1*x2, x1*x2*x4*x1*x2*x4, x4^2 ] [ x2*x4^2*x2*x4*x5, x1*x3*x4*x1*x2*x4*x1, x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4, x4^2 ] [ x1*x5, x1*x2*x4*x2*x4^2, x1*x3*x4*x1*x2*x4*x1, x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4, x4^2 ] [ x2*x5, x4*x2*x4^2, x1*x3*x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4, x4^2 ] [ x1*x5, x1*x2*x4*x2*x4^2, x1*x3*x4*x1*x2*x4*x1, x1*x2, x1*x2*x4*x1*x2*x4, x4^2 ] [ x1*x2*x3*x5, x1*x3*x4*x2*x4^2, x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4, x4^2 ] [ x1*x5, x1*x2*x4*x2*x4^2, x2*x3, x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4, x4^2 ] [ x2*x5, x4*x2*x4^2, x1*x3, x1*x2*x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4, x4^2 ] [ x1*x5, x1*x2*x4*x2*x4^2, x2*x3, x1*x2, x1*x2*x4*x1*x2*x4, x4^2 ] [ x1*x2*x4*x1*x2*x4*x5, x4^3, x1*x3*x4*x1*x2*x4*x1, x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4 ] [ x1*x2*x4*x1*x2*x4*x5, x4^3, x1*x3*x4*x1*x2*x4*x1, x4*x1*x2*x4*x1, x1*x2*x4*x1*x2*x4*x1, x1*x2*x4*x2*x4*x1 ] [ x1*x2*x4^2*x3*x4*x5, x4^3, x4*x2*x3*x4*x2, x2*x3*x4*x2*x3*x4*x2, x2*x3*x4*x2*x3*x4, x4^2 ] [ x1*x2*x4^2*x3*x4*x5, x4^3, x4*x2*x3*x4*x2, x1, x2*x3*x4*x2*x3*x4, x4^2 ] [ x1*x2*x4^2*x3*x4*x5, x4^3, x4*x2*x3*x4*x2, x1*x2*x3*x4*x2*x3*x4*x2, x2*x3*x4*x2*x3*x4, x4^2 ] [ x1*x2*x4^2*x3*x4*x5, x4^3, x2*x3*x4*x2*x3*x4*x2, x1, x2*x3*x4*x2*x3*x4, x4^2 ] [ x1*x2*x4^2*x3*x4*x5, x4^3, x1*x4*x2*x3*x4*x2, x2*x3*x4*x2*x3*x4*x2, x2*x3*x4*x2*x3*x4, x4^2 ] [ x1*x2*x4^2*x3*x4*x5, x4^3, x2*x3, x1, x2*x3*x4*x2*x3*x4, x4^2 ] [ x1*x2*x4^2*x3*x4*x5, x4^3, x1*x4*x2*x3*x4*x2, x1*x2*x3*x4*x2*x3*x4*x2, x2*x3*x4*x2*x3*x4, x4^2 ] [ x1*x2*x4^2*x3*x4*x5, x4*x2*x3*x4*x2, x2*x3*x4*x2*x3*x4*x2, x1, x2*x3*x4*x2*x3*x4, x4^2 ] [ x1*x2*x4^2*x3*x4*x5, x1*x4^3, x4*x2*x3*x4*x2, x2*x3*x4*x2*x3*x4*x2, x2*x3*x4*x2*x3*x4, x4^2 ] [ x1*x2*x4^2*x3*x4*x5, x2*x3*x4*x3*x4^2, x4*x2*x3*x4*x2, x1, x2*x3*x4*x2*x3*x4, x4^2 ] [ x1*x2*x4^2*x3*x4*x5, x1*x4^3, x4*x2*x3*x4*x2, x1*x2*x3*x4*x2*x3*x4*x2, x2*x3*x4*x2*x3*x4, x4^2 ] [ x1*x2*x4^2*x3*x4*x5, x4*x3*x4^2, x2*x3*x4*x2*x3*x4*x2, x1, x2*x3*x4*x2*x3*x4, x4^2 ] [ x1*x2*x4^2*x3*x4*x5, x1*x4^3, x1*x4*x2*x3*x4*x2, x2*x3*x4*x2*x3*x4*x2, x2*x3*x4*x2*x3*x4, x4^2 ] [ x1*x2*x4^2*x3*x4*x5, x2*x3*x4*x3*x4^2, x2*x3, x1, x2*x3*x4*x2*x3*x4, x4^2 ] [ x1*x2*x4^2*x3*x4*x5, x1*x4^3, x1*x4*x2*x3*x4*x2, x1*x2*x3*x4*x2*x3*x4*x2, x2*x3*x4*x2*x3*x4, x4^2 ] [ x4^3, x4*x2*x3*x4*x2, x2*x3*x4*x2*x3*x4*x2, x1, x2*x3*x4*x2*x3*x4, x4^2 ] [ x2*x4^2*x3*x4*x5, x4^3, x4*x2*x3*x4*x2, x2*x3*x4*x2*x3*x4*x2, x2*x3*x4*x2*x3*x4, x4^2 ] [ x1*x3*x4^3*x5, x4^3, x4*x2*x3*x4*x2, x1, x2*x3*x4*x2*x3*x4, x4^2 ] [ x2*x4^2*x3*x4*x5, x4^3, x4*x2*x3*x4*x2, x1*x2*x3*x4*x2*x3*x4*x2, x2*x3*x4*x2*x3*x4, x4^2 ] [ x1*x2*x4^3*x5, x4^3, x2*x3*x4*x2*x3*x4*x2, x1, x2*x3*x4*x2*x3*x4, x4^2 ] [ x2*x4^2*x3*x4*x5, x4^3, x1*x4*x2*x3*x4*x2, x2*x3*x4*x2*x3*x4*x2, x2*x3*x4*x2*x3*x4, x4^2 ] [ x1*x3*x4^3*x5, x4^3, x2*x3, x1, x2*x3*x4*x2*x3*x4, x4^2 ] [ x2*x4^2*x3*x4*x5, x4^3, x1*x4*x2*x3*x4*x2, x1*x2*x3*x4*x2*x3*x4*x2, x2*x3*x4*x2*x3*x4, x4^2 ] [ x1*x4*x2*x3*x4*x5, x4*x2*x3*x4*x2, x2*x3*x4*x2*x3*x4*x2, x1, x2*x3*x4*x2*x3*x4, x4^2 ] [ x2*x4^2*x3*x4*x5, x1*x4^3, x4*x2*x3*x4*x2, x2*x3*x4*x2*x3*x4*x2, x2*x3*x4*x2*x3*x4, x4^2 ] [ x1*x3*x4^3*x5, x2*x3*x4*x3*x4^2, x4*x2*x3*x4*x2, x1, x2*x3*x4*x2*x3*x4, x4^2 ] [ x2*x4^2*x3*x4*x5, x1*x4^3, x4*x2*x3*x4*x2, x1*x2*x3*x4*x2*x3*x4*x2, x2*x3*x4*x2*x3*x4, x4^2 ] [ x1*x2*x4^3*x5, x4*x3*x4^2, x2*x3*x4*x2*x3*x4*x2, x1, x2*x3*x4*x2*x3*x4, x4^2 ] [ x2*x4^2*x3*x4*x5, x1*x4^3, x1*x4*x2*x3*x4*x2, x2*x3*x4*x2*x3*x4*x2, x2*x3*x4*x2*x3*x4, x4^2 ] [ x1*x3*x4^3*x5, x2*x3*x4*x3*x4^2, x2*x3, x1, x2*x3*x4*x2*x3*x4, x4^2 ] [ x2*x4^2*x3*x4*x5, x1*x4^3, x1*x4*x2*x3*x4*x2, x1*x2*x3*x4*x2*x3*x4*x2, x2*x3*x4*x2*x3*x4, x4^2 ] [ x1*x2*x4^2*x3*x4*x5, x4^3, x4*x2*x3*x4*x2, x2*x3*x4*x2*x3*x4*x2, x1, x2*x3*x4*x2*x3*x4 ] [ x1*x2*x4^2*x3*x4*x5, x4^3, x4*x2*x3*x4*x2, x2*x3*x4*x2*x3*x4*x2, x1, x2*x3*x4*x3*x4*x2 ] [ x2^3, x1^2*x2^2, x1^4 ] [ x1^3, x1^2*x2^2, x1^4 ] [ x1^3*x2^3, x1^2*x2^2, x1^4 ] [ x2^3, x1^3, x1^2*x2^2 ] [ x2^3, x1^3, x1^4 ] [ x2^3, x1^3, x1^4*x2^2 ] [ x2^3, x1^3, x2^2 ] [ x2^3, x1^4*x2^2, x1^4 ] [ x1^3, x1^4*x2^2, x1^4 ] [ x1^3*x2^3, x1^4*x2^2, x1^4 ] [ x2^3, x1^3, x1^4*x2^2 ] [ x2^3, x1^3, x1^4 ] [ x2^3, x1^3, x2^2 ] [ x2^3, x1^3, x1^2*x2^2 ] [ x2^3, x1^4*x2^2, x1^2 ] [ x1^3, x1^4*x2^2, x1^2 ] [ x1^3*x2^3, x1^4*x2^2, x1^2 ] [ x2^3, x1^3, x1^4*x2^2 ] [ x2^3, x1^3, x1^2 ] [ x2^3, x1^3, x1^2*x2^2 ] [ x2^3, x1^3, x2^2 ] [ x2^3, x2^4, x1^2 ] [ x1^3, x2^4, x1^2 ] [ x1^3*x2^3, x2^4, x1^2 ] [ x2^3, x1^3, x2^4 ] [ x2^3, x1^3, x1^2 ] [ x2^3, x1^3, x1^4*x2^4 ] [ x2^3, x1^3, x1^2*x2^4 ] [ x2^3, x2^4, x1^2 ] [ x1^3, x2^4, x1^2 ] [ x1^3*x2^3, x2^4, x1^2 ] [ x2^3, x1^3, x2^4 ] [ x2^3, x1^3, x1^2 ] [ x2^3, x1^3, x1^4*x2^4 ] [ x2^3, x1^3, x1^2*x2^4 ] [ x1^3*x2^3, x1^2, x2^2 ] [ x1^3, x1^2, x2^2 ] [ x2^3, x1^2, x2^2 ] [ x1^3*x2^3, x1^3, x2^2 ] [ x1^3*x2^3, x1^3, x1^2 ] [ x1*x2^3, x2^2, x1^2 ] [ x1^3, x2^2, x1^2 ] [ x1^4*x2^3, x2^2, x1^2 ] [ x1*x2^3, x1^3, x1^2 ] [ x1*x2^3, x1^3, x2^2 ] [ x2^3, x2^4, x1^4 ] [ x1^3, x2^4, x1^4 ] [ x1^3*x2^3, x2^4, x1^4 ] [ x2^3, x1^3, x1^4 ] [ x2^3, x1^3, x2^4 ] [ x2^3, x1*x2^2*x1*x2^2, x1*x2^2*x1*x2^4 ] [ x1, x1*x2^2*x1*x2^2, x1*x2^2*x1*x2^4 ] [ x1*x2^3, x1*x2^2*x1*x2^2, x1*x2^2*x1*x2^4 ] [ x2^3, x1, x1*x2^2*x1*x2^4 ] [ x2^3, x1, x1*x2^2*x1*x2^2 ] [ x2^3, x1^2, x2^2 ] [ x1^3, x1^2, x2^2 ] [ x1^3*x2^3, x1^2, x2^2 ] [ x2^3, x1^3, x2^2 ] [ x2^3, x1^3, x1^2 ] [ x1*x2^3, x1*x2^2*x1*x2^2, x1*x2^2*x1*x2^4 ] [ x1, x1*x2^2*x1*x2^2, x1*x2^2*x1*x2^4 ] [ x2^3, x1*x2^2*x1*x2^2, x1*x2^2*x1*x2^4 ] [ x1*x2^3, x1, x1*x2^2*x1*x2^4 ] [ x1*x2^3, x1, x1*x2^2*x1*x2^2 ] [ x1*x2^3, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ] [ x1, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ] [ x2^3, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ] [ x1*x2^3, x1, x1*x2^2*x1*x2^4 ] [ x1*x2^3, x1, x1*x2*x1*x2 ] [ x2^3, x2^2, x1*x2*x1*x2^5 ] [ x1*x2*x1*x2*x1*x2^4, x2^2, x1*x2*x1*x2^5 ] [ x1*x2*x1*x2*x1*x2, x2^2, x1*x2*x1*x2^5 ] [ x2^3, x1*x2*x1*x2*x1*x2^4, x1*x2*x1*x2^5 ] [ x2^3, x1*x2*x1*x2*x1*x2^4, x2^2 ] [ x1*x2*x1*x2^2, x2^2, x1*x2*x1*x2^5 ] [ x2*x1*x2^5, x2^2, x1*x2*x1*x2^5 ] [ x1*x2*x1*x2*x1*x2, x2^2, x1*x2*x1*x2^5 ] [ x1*x2*x1*x2^2, x2*x1*x2^5, x1*x2*x1*x2^5 ] [ x1*x2*x1*x2^2, x2*x1*x2^5, x2^2 ] [ x3^3, x1*x2*x3^2*x1, x3^2 ] [ x1, x1*x2*x3^2*x1, x3^2 ] [ x1*x3^3, x1*x2*x3^2*x1, x3^2 ] [ x3^3, x1, x1*x2*x3^2*x1 ] [ x3^3, x1, x3^2 ] [ x3^3, x1, x1*x2*x1*x3^2 ] [ x3^3, x1, x1*x2*x1 ] [ x1^2*x2^3, x1^4, x2^2 ] [ x1^3, x1^4, x2^2 ] [ x1^5*x2^3, x1^4, x2^2 ] [ x1^2*x2^3, x1^3, x2^2 ] [ x1^2*x2^3, x1^3, x1^4 ] [ x2^3, x1^4, x2^2 ] [ x1^3*x2^2, x1^4, x2^2 ] [ x1^4*x2*x1, x1^4, x2^2 ] [ x2^3, x1^3*x2^2, x1^4 ] [ x2^3, x1^3*x2^2, x2^2 ] [ x1^5*x2^3, x1^2, x2^2 ] [ x1^3, x1^2, x2^2 ] [ x1^2*x2^3, x1^2, x2^2 ] [ x1^5*x2^3, x1^3, x1^2 ] [ x1^5*x2^3, x1^3, x2^2 ] [ x2*x1*x2*x1*x2^3, x1*x2^2*x1, x2*x1*x2^3*x1 ] [ x1, x1*x2^2*x1, x2*x1*x2^3*x1 ] [ x1*x2*x1*x2*x1*x2^3, x1*x2^2*x1, x2*x1*x2^3*x1 ] [ x2*x1*x2*x1*x2^3, x1, x1*x2*x1*x2 ] [ x2*x1*x2*x1*x2^3, x1, x1*x2^2*x1 ] [ x3^3, x1*x2*x1*x3^2, x3^2 ] [ x1, x1*x2*x1*x3^2, x3^2 ] [ x1*x3^3, x1*x2*x1*x3^2, x3^2 ] [ x3^3, x1, x1*x2*x1*x3^2 ] [ x3^3, x1, x3^2 ] [ x3^3, x1, x1*x2*x1 ] [ x3^3, x1, x1*x2*x3^2*x1 ] [ x3^3, x1*x2*x3^2*x1, x3^2 ] [ x1*x3^2, x1*x2*x3^2*x1, x3^2 ] [ x3*x1, x1*x2*x3^2*x1, x3^2 ] [ x3^3, x1*x3^2, x1*x2*x3^2*x1 ] [ x3^3, x1*x3^2, x3^2 ] [ x3^3, x1*x3^2, x1*x2*x1*x3^2 ] [ x3^3, x1*x3^2, x1*x2*x1 ] [ x3*x1*x3*x1*x3, x1*x2*x3*x1*x3, x1*x3*x1*x3 ] [ x1, x1*x2*x3*x1*x3, x1*x3*x1*x3 ] [ x1*x3*x1*x3*x1*x3, x1*x2*x3*x1*x3, x1*x3*x1*x3 ] [ x3*x1*x3*x1*x3, x1, x1*x2*x3*x1*x3 ] [ x3*x1*x3*x1*x3, x1, x1*x3*x1*x3 ] [ x3*x1*x3*x1*x3, x1, x1*x2*x1 ] [ x3*x1*x3*x1*x3, x1, x1*x2*x1*x3*x1*x3*x1 ] [ x1^3*x2^3, x2^4, x1^4 ] [ x1^3, x2^4, x1^4 ] [ x2^3, x2^4, x1^4 ] [ x1^3*x2^3, x1^3, x2^4 ] [ x1^3*x2^3, x1^3, x1^4 ] [ x1^3*x2^3, x1^3, x1^2*x2^4 ] [ x1^3*x2^3, x1^3, x1^4*x2^4 ] [ x2^3, x2^4, x1^2 ] [ x1^3, x2^4, x1^2 ] [ x1^3*x2^3, x2^4, x1^2 ] [ x2^3, x1^3, x2^4 ] [ x2^3, x1^3, x1^2 ] [ x2^3, x1^3, x1^4*x2^4 ] [ x2^3, x1^3, x1^2*x2^4 ] [ x2^3, x2^4, x1^2 ] [ x1^3, x2^4, x1^2 ] [ x1^3*x2^3, x2^4, x1^2 ] [ x2^3, x1^3, x2^4 ] [ x2^3, x1^3, x1^2 ] [ x2^3, x1^3, x1^4*x2^4 ] [ x2^3, x1^3, x1^2*x2^4 ] [ x1*x2^3, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ] [ x1, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ] [ x2^3, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ] [ x1*x2^3, x1, x1*x2^2*x1*x2^4 ] [ x1*x2^3, x1, x1*x2*x1*x2 ] [ x2^3, x2^4, x1^2 ] [ x1^3, x2^4, x1^2 ] [ x1^3*x2^3, x2^4, x1^2 ] [ x2^3, x1^3, x1^2 ] [ x2^3, x1^3, x2^4 ] [ x2^3, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ] [ x2^2*x1*x2^4, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ] [ x2^2*x1*x2, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ] [ x2^3, x2^2*x1*x2^4, x1*x2^2*x1*x2^4 ] [ x2^3, x2^2*x1*x2^4, x1*x2*x1*x2 ] [ x2^3, x1*x2^2*x1*x2^2, x1*x2^2*x1*x2^4 ] [ x1, x1*x2^2*x1*x2^2, x1*x2^2*x1*x2^4 ] [ x1*x2^3, x1*x2^2*x1*x2^2, x1*x2^2*x1*x2^4 ] [ x2^3, x1, x1*x2^2*x1*x2^4 ] [ x2^3, x1, x1*x2^2*x1*x2^2 ] [ x1*x2*x1*x2^2, x2^2, x1*x2*x1*x2^5 ] [ x2*x1*x2^5, x2^2, x1*x2*x1*x2^5 ] [ x1*x2*x1*x2*x1*x2, x2^2, x1*x2*x1*x2^5 ] [ x1*x2*x1*x2^2, x2*x1*x2^5, x1*x2*x1*x2^5 ] [ x1*x2*x1*x2^2, x2*x1*x2^5, x2^2 ] [ x1*x2^3, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ] [ x1, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ] [ x2^3, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ] [ x1*x2^3, x1, x1*x2^2*x1*x2^4 ] [ x1*x2^3, x1, x1*x2*x1*x2 ] [ x2^3, x1^2, x2^2 ] [ x1^3, x1^2, x2^2 ] [ x1^3*x2^3, x1^2, x2^2 ] [ x2^3, x1^3, x2^2 ] [ x2^3, x1^3, x1^2 ] [ x1^3*x2^3, x1^2, x2^2 ] [ x1^3, x1^2, x2^2 ] [ x2^3, x1^2, x2^2 ] [ x1^3*x2^3, x1^3, x2^2 ] [ x1^3*x2^3, x1^3, x1^2 ] [ x1^3*x2^3, x1^2, x2^2 ] [ x1^3, x1^2, x2^2 ] [ x2^3, x1^2, x2^2 ] [ x1^3*x2^3, x1^3, x2^2 ] [ x1^3*x2^3, x1^3, x1^2 ] [ x2^3, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ] [ x1, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ] [ x1*x2^3, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ] [ x2^3, x1, x1*x2^2*x1*x2^4 ] [ x2^3, x1, x1*x2*x1*x2 ] [ x2^3, x1^4, x2^2 ] [ x1^2*x2^2*x1, x1^4, x2^2 ] [ x1^3*x2, x1^4, x2^2 ] [ x2^3, x1^2*x2^2*x1, x2^2 ] [ x2^3, x1^2*x2^2*x1, x1^4 ] [ x2^3, x1^2, x2^2 ] [ x1^3*x2^2, x1^2, x2^2 ] [ x1^2*x2*x1, x1^2, x2^2 ] [ x2^3, x1^3*x2^2, x2^2 ] [ x2^3, x1^3*x2^2, x1^2 ] [ x2^3, x1^4, x2^2 ] [ x1^3*x2^2, x1^4, x2^2 ] [ x1^2*x2*x1, x1^4, x2^2 ] [ x2^3, x1^3*x2^2, x2^2 ] [ x2^3, x1^3*x2^2, x1^4 ] [ x1*x2^2*x1*x2*x3, x1*x2*x1*x2, x1*x2^2*x1*x2 ] [ x2^2*x1*x2, x1*x2*x1*x2, x1*x2^2*x1*x2 ] [ x2*x1*x2^2*x3, x1*x2*x1*x2, x1*x2^2*x1*x2 ] [ x1*x2^2*x1*x2*x3, x2^2*x1*x2, x1*x2^2*x1*x2 ] [ x1*x2^2*x1*x2*x3, x2^2*x1*x2, x1*x2*x1*x2 ] [ x2*x1*x2*x1*x2^3, x1*x2*x1*x2, x1*x2*x1*x2^3 ] [ x1, x1*x2*x1*x2, x1*x2*x1*x2^3 ] [ x1*x2*x1*x2*x1*x2^3, x1*x2*x1*x2, x1*x2*x1*x2^3 ] [ x2*x1*x2*x1*x2^3, x1, x1*x2*x1*x2 ] [ x2*x1*x2*x1*x2^3, x1, x1*x2^2*x1 ] [ x1*x2^3*x1, x1*x2^2*x1, x2*x1*x2^3*x1 ] [ x2*x1*x2^3, x1*x2^2*x1, x2*x1*x2^3*x1 ] [ x2*x1*x2*x1*x2*x1, x1*x2^2*x1, x2*x1*x2^3*x1 ] [ x1*x2^3*x1, x2*x1*x2^3, x1*x2*x1*x2 ] [ x1*x2^3*x1, x2*x1*x2^3, x1*x2^2*x1 ] [ x1^4*x2^3, x1^4, x2^2 ] [ x1^3, x1^4, x2^2 ] [ x1*x2^3, x1^4, x2^2 ] [ x1^4*x2^3, x1^3, x2^2 ] [ x1^4*x2^3, x1^3, x1^4 ] [ x1*x2^2*x1*x2*x3, x1*x2*x1*x2, x1*x2^2*x1*x2 ] [ x2^2*x1*x2, x1*x2*x1*x2, x1*x2^2*x1*x2 ] [ x2*x1*x2^2*x3, x1*x2*x1*x2, x1*x2^2*x1*x2 ] [ x1*x2^2*x1*x2*x3, x2^2*x1*x2, x1*x2^2*x1*x2 ] [ x1*x2^2*x1*x2*x3, x2^2*x1*x2, x1*x2*x1*x2 ] [ x1*x2*x1*x2*x1*x2^3, x1*x2*x1*x2, x1*x2*x1*x2^3 ] [ x1, x1*x2*x1*x2, x1*x2*x1*x2^3 ] [ x2*x1*x2*x1*x2^3, x1*x2*x1*x2, x1*x2*x1*x2^3 ] [ x1*x2*x1*x2*x1*x2^3, x1, x1*x2*x1*x2 ] [ x1*x2*x1*x2*x1*x2^3, x1, x1*x2^2*x1 ] [ x2^3, x1^4, x2^2 ] [ x1^3, x1^4, x2^2 ] [ x1^3*x2^3, x1^4, x2^2 ] [ x2^3, x1^3, x2^2 ] [ x2^3, x1^3, x1^4 ] [ x1*x2*x1*x2*x1*x2, x2^2, x1*x2*x1*x2^5 ] [ x1, x2^2, x1*x2*x1*x2^5 ] [ x2*x1*x2*x1*x2, x2^2, x1*x2*x1*x2^5 ] [ x1*x2*x1*x2*x1*x2, x1, x1*x2*x1*x2^5 ] [ x1*x2*x1*x2*x1*x2, x1, x2^2 ] [ x1^3*x2^3, x1^2, x2^2 ] [ x1^3, x1^2, x2^2 ] [ x2^3, x1^2, x2^2 ] [ x1^3*x2^3, x1^3, x2^2 ] [ x1^3*x2^3, x1^3, x1^2 ] [ x1*x2^3, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ] [ x1, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ] [ x2^3, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ] [ x1*x2^3, x1, x1*x2^2*x1*x2^4 ] [ x1*x2^3, x1, x1*x2*x1*x2 ] [ x1*x3^3, x1*x2*x1, x3^2 ] [ x1, x1*x2*x1, x3^2 ] [ x3^3, x1*x2*x1, x3^2 ] [ x1*x3^3, x1, x1*x2*x1 ] [ x1*x3^3, x1, x3^2 ] [ x1*x3^3, x1, x1*x2*x3^2*x1 ] [ x1*x3^3, x1, x1*x2*x1*x3^2 ] [ x1*x3, x1*x2*x1, x3^2 ] [ x3^2*x1, x1*x2*x1, x3^2 ] [ x3^3, x1*x2*x1, x3^2 ] [ x1*x3, x3^2*x1, x1*x2*x1 ] [ x1*x3, x3^2*x1, x3^2 ] [ x1*x3, x3^2*x1, x1*x2*x3^2*x1 ] [ x1*x3, x3^2*x1, x1*x2*x1*x3^2 ] [ x1*x2*x1*x2*x1*x2^3, x1*x2^2*x1, x1*x2*x1*x2^3 ] [ x1, x1*x2^2*x1, x1*x2*x1*x2^3 ] [ x2*x1*x2*x1*x2^3, x1*x2^2*x1, x1*x2*x1*x2^3 ] [ x1*x2*x1*x2*x1*x2^3, x1, x1*x2^2*x1 ] [ x1*x2*x1*x2*x1*x2^3, x1, x1*x2*x1*x2 ] [ x1^2*x2^3, x1^4, x2^2 ] [ x1^3, x1^4, x2^2 ] [ x1^5*x2^3, x1^4, x2^2 ] [ x1^2*x2^3, x1^3, x1^4 ] [ x1^2*x2^3, x1^3, x2^2 ] [ x1*x2^3, x1^2, x2^2 ] [ x1^3, x1^2, x2^2 ] [ x1^4*x2^3, x1^2, x2^2 ] [ x1*x2^3, x1^3, x2^2 ] [ x1*x2^3, x1^3, x1^2 ] [ x2*x1*x2*x1*x2^3, x1*x2^2*x1, x1*x2*x1*x2^3 ] [ x1, x1*x2^2*x1, x1*x2*x1*x2^3 ] [ x1*x2*x1*x2*x1*x2^3, x1*x2^2*x1, x1*x2*x1*x2^3 ] [ x2*x1*x2*x1*x2^3, x1, x1*x2^2*x1 ] [ x2*x1*x2*x1*x2^3, x1, x1*x2*x1*x2 ] [ x3^3, x1*x2*x1*x3^2, x3^2 ] [ x1*x3^2, x1*x2*x1*x3^2, x3^2 ] [ x3*x1, x1*x2*x1*x3^2, x3^2 ] [ x3^3, x1*x3^2, x1*x2*x1*x3^2 ] [ x3^3, x1*x3^2, x3^2 ] [ x3^3, x1*x3^2, x1*x2*x1 ] [ x3^3, x1*x3^2, x1*x2*x3^2*x1 ] [ x1*x3^3, x1*x2*x1*x3^2, x3^2 ] [ x1, x1*x2*x1*x3^2, x3^2 ] [ x3^3, x1*x2*x1*x3^2, x3^2 ] [ x1*x3^3, x1, x1*x2*x1*x3^2 ] [ x1*x3^3, x1, x3^2 ] [ x1*x3^3, x1, x1*x2*x1 ] [ x1*x3^3, x1, x1*x2*x3^2*x1 ] [ x3^3, x1*x2*x1, x3^2 ] [ x2*x1*x3^2, x1*x2*x1, x3^2 ] [ x2*x3*x1, x1*x2*x1, x3^2 ] [ x3^3, x2*x1*x3^2, x1*x2*x1 ] [ x3^3, x2*x1*x3^2, x3^2 ] [ x3^3, x2*x1*x3^2, x1*x2*x3^2*x1 ] [ x3^3, x2*x1*x3^2, x1*x2*x1*x3^2 ] [ x1*x2*x1*x3*x1*x3*x1*x3, x1*x3*x1*x3, x1*x2*x1 ] [ x1*x2, x1*x3*x1*x3, x1*x2*x1 ] [ x1*x3*x1*x3*x1*x3, x1*x3*x1*x3, x1*x2*x1 ] [ x1*x2*x1*x3*x1*x3*x1*x3, x1*x2, x1*x3*x1*x3 ] [ x1*x2*x1*x3*x1*x3*x1*x3, x1*x2, x1*x2*x1 ] [ x1*x2*x1*x3*x1*x3*x1*x3, x1*x2, x2*x1*x3*x1*x3 ] [ x1*x2*x1*x3*x1*x3*x1*x3, x1*x2, x1*x2*x3*x1*x3 ] [ x2^3, x2^2, x1^2 ] [ x1^3, x2^2, x1^2 ] [ x1^3*x2^3, x2^2, x1^2 ] [ x2^3, x1^3, x2^2 ] [ x2^3, x1^3, x1^2 ] [ x2^3, x1^3, x1^4*x2^2 ] [ x2^3, x1^3, x1^2*x2^2 ] [ x2^3, x2^4, x1^2 ] [ x1^3, x2^4, x1^2 ] [ x1^3*x2^3, x2^4, x1^2 ] [ x2^3, x1^3, x2^4 ] [ x2^3, x1^3, x1^2 ] [ x2^3, x1^3, x1^4*x2^4 ] [ x2^3, x1^3, x1^2*x2^4 ] [ x1^3*x2^3, x1^2*x2^2, x1^2 ] [ x1^3, x1^2*x2^2, x1^2 ] [ x2^3, x1^2*x2^2, x1^2 ] [ x1^3*x2^3, x1^3, x1^2*x2^2 ] [ x1^3*x2^3, x1^3, x1^2 ] [ x1^3*x2^3, x1^3, x2^2 ] [ x1^3*x2^3, x1^3, x1^4*x2^2 ] [ x3^3, x1*x2*x1, x3^2 ] [ x1*x3^2, x1*x2*x1, x3^2 ] [ x3*x1, x1*x2*x1, x3^2 ] [ x3^3, x1*x3^2, x1*x2*x1 ] [ x3^3, x1*x3^2, x3^2 ] [ x3^3, x1*x3^2, x1*x2*x3^2*x1 ] [ x3^3, x1*x3^2, x1*x2*x1*x3^2 ] [ x4^3, x1*x3, x2, x4^4 ] [ x4^3, x1*x3, x1, x4^4 ] [ x4^3, x1*x3, x1*x2, x4^4 ] [ x4^3, x2, x1, x4^4 ] [ x4^3, x3, x2, x4^4 ] [ x4^3, x1*x2*x3, x1, x4^4 ] [ x4^3, x3, x1*x2, x4^4 ] [ x1*x3, x2, x1, x4^4 ] [ x1*x4^3, x1*x3, x2, x4^4 ] [ x2*x4^3, x1*x3, x1, x4^4 ] [ x1*x4^3, x1*x3, x1*x2, x4^4 ] [ x1*x3*x4^3, x2, x1, x4^4 ] [ x1*x4^3, x3, x2, x4^4 ] [ x2*x4^3, x1*x2*x3, x1, x4^4 ] [ x1*x4^3, x3, x1*x2, x4^4 ] [ x4^3, x1*x3, x2, x1 ] [ x1*x4^3, x3, x2, x4^2 ] [ x1*x4^3, x3, x1, x4^2 ] [ x1*x4^3, x3, x1*x2, x4^2 ] [ x1*x4^3, x2, x1, x4^2 ] [ x1*x4^3, x1*x3, x2, x4^2 ] [ x1*x4^3, x2*x3, x1, x4^2 ] [ x1*x4^3, x1*x3, x1*x2, x4^2 ] [ x3, x2, x1, x4^2 ] [ x4^3, x3, x2, x4^2 ] [ x1*x2*x4^3, x3, x1, x4^2 ] [ x4^3, x3, x1*x2, x4^2 ] [ x1*x3*x4^3, x2, x1, x4^2 ] [ x4^3, x1*x3, x2, x4^2 ] [ x1*x2*x4^3, x2*x3, x1, x4^2 ] [ x4^3, x1*x3, x1*x2, x4^2 ] [ x1*x4^3, x3, x2, x1 ] [ x1*x4^3, x2*x3, x2, x4^2 ] [ x1*x4^3, x2*x3, x1, x4^2 ] [ x1*x4^3, x2*x3, x1*x2, x4^2 ] [ x1*x4^3, x2, x1, x4^2 ] [ x1*x4^3, x1*x2*x3, x2, x4^2 ] [ x1*x4^3, x3, x1, x4^2 ] [ x1*x4^3, x1*x2*x3, x1*x2, x4^2 ] [ x2*x3, x2, x1, x4^2 ] [ x4^3, x2*x3, x2, x4^2 ] [ x1*x2*x4^3, x2*x3, x1, x4^2 ] [ x4^3, x2*x3, x1*x2, x4^2 ] [ x1*x2*x3*x4^3, x2, x1, x4^2 ] [ x4^3, x1*x2*x3, x2, x4^2 ] [ x1*x2*x4^3, x3, x1, x4^2 ] [ x4^3, x1*x2*x3, x1*x2, x4^2 ] [ x1*x4^3, x2*x3, x2, x1 ] [ x1*x4*x1, x3, x2, x1*x4*x1*x4 ] [ x1*x4*x1, x3, x4*x1*x4, x1*x4*x1*x4 ] [ x1*x4*x1, x3, x2*x4*x1*x4, x1*x4*x1*x4 ] [ x1*x4*x1, x2, x4*x1*x4, x1*x4*x1*x4 ] [ x1*x4*x1, x3*x4*x1*x4, x2, x1*x4*x1*x4 ] [ x1*x4*x1, x2*x3, x4*x1*x4, x1*x4*x1*x4 ] [ x1*x4*x1, x3*x4*x1*x4, x2*x4*x1*x4, x1*x4*x1*x4 ] [ x3, x2, x4*x1*x4, x1*x4*x1*x4 ] [ x1*x4*x1*x4*x1*x4, x3, x2, x1*x4*x1*x4 ] [ x1*x2*x4*x1, x3, x4*x1*x4, x1*x4*x1*x4 ] [ x1*x4*x1*x4*x1*x4, x3, x2*x4*x1*x4, x1*x4*x1*x4 ] [ x1*x3*x4*x1, x2, x4*x1*x4, x1*x4*x1*x4 ] [ x1*x4*x1*x4*x1*x4, x3*x4*x1*x4, x2, x1*x4*x1*x4 ] [ x1*x2*x4*x1, x2*x3, x4*x1*x4, x1*x4*x1*x4 ] [ x1*x4*x1*x4*x1*x4, x3*x4*x1*x4, x2*x4*x1*x4, x1*x4*x1*x4 ] [ x1*x4*x1, x3, x2, x4*x1*x4 ] [ x1*x4*x1, x3, x2, x1*x4*x1*x4 ] [ x1*x4*x1, x3, x4*x1*x4, x1*x4*x1*x4 ] [ x1*x4*x1, x3, x2*x4*x1*x4, x1*x4*x1*x4 ] [ x1*x4*x1, x2, x4*x1*x4, x1*x4*x1*x4 ] [ x1*x4*x1, x3*x4*x1*x4, x2, x1*x4*x1*x4 ] [ x1*x4*x1, x2*x3, x4*x1*x4, x1*x4*x1*x4 ] [ x1*x4*x1, x3*x4*x1*x4, x2*x4*x1*x4, x1*x4*x1*x4 ] [ x3, x2, x4*x1*x4, x1*x4*x1*x4 ] [ x1*x4*x1*x4*x1*x4, x3, x2, x1*x4*x1*x4 ] [ x1*x2*x4*x1, x3, x4*x1*x4, x1*x4*x1*x4 ] [ x1*x4*x1*x4*x1*x4, x3, x2*x4*x1*x4, x1*x4*x1*x4 ] [ x1*x3*x4*x1, x2, x4*x1*x4, x1*x4*x1*x4 ] [ x1*x4*x1*x4*x1*x4, x3*x4*x1*x4, x2, x1*x4*x1*x4 ] [ x1*x2*x4*x1, x2*x3, x4*x1*x4, x1*x4*x1*x4 ] [ x1*x4*x1*x4*x1*x4, x3*x4*x1*x4, x2*x4*x1*x4, x1*x4*x1*x4 ] [ x1*x4*x1, x3, x2, x4*x1*x4 ] [ x4*x3*x4*x3*x4, x3, x1, x3*x4*x3*x4 ] [ x4*x3*x4*x3*x4, x3, x2, x3*x4*x3*x4 ] [ x4*x3*x4*x3*x4, x3, x1*x2, x3*x4*x3*x4 ] [ x4*x3*x4*x3*x4, x1, x2, x3*x4*x3*x4 ] [ x4*x3*x4*x3*x4, x2*x3, x1, x3*x4*x3*x4 ] [ x4*x3*x4*x3*x4, x1*x3, x2, x3*x4*x3*x4 ] [ x4*x3*x4*x3*x4, x2*x3, x1*x2, x3*x4*x3*x4 ] [ x3, x1, x2, x3*x4*x3*x4 ] [ x2*x4*x3*x4*x3*x4, x3, x1, x3*x4*x3*x4 ] [ x1*x4*x3*x4*x3*x4, x3, x2, x3*x4*x3*x4 ] [ x2*x4*x3*x4*x3*x4, x3, x1*x2, x3*x4*x3*x4 ] [ x3*x4*x3*x4*x3*x4, x1, x2, x3*x4*x3*x4 ] [ x2*x4*x3*x4*x3*x4, x2*x3, x1, x3*x4*x3*x4 ] [ x1*x4*x3*x4*x3*x4, x1*x3, x2, x3*x4*x3*x4 ] [ x2*x4*x3*x4*x3*x4, x2*x3, x1*x2, x3*x4*x3*x4 ] [ x4*x3*x4*x3*x4, x3, x1, x2 ] [ x2*x4^3, x1*x2*x3, x2, x4^2 ] [ x2*x4^3, x1*x2*x3, x1, x4^2 ] [ x2*x4^3, x1*x2*x3, x1*x2, x4^2 ] [ x2*x4^3, x2, x1, x4^2 ] [ x2*x4^3, x2*x3, x2, x4^2 ] [ x2*x4^3, x1*x3, x1, x4^2 ] [ x2*x4^3, x2*x3, x1*x2, x4^2 ] [ x1*x2*x3, x2, x1, x4^2 ] [ x1*x2*x4^3, x1*x2*x3, x2, x4^2 ] [ x4^3, x1*x2*x3, x1, x4^2 ] [ x1*x2*x4^3, x1*x2*x3, x1*x2, x4^2 ] [ x1*x3*x4^3, x2, x1, x4^2 ] [ x1*x2*x4^3, x2*x3, x2, x4^2 ] [ x4^3, x1*x3, x1, x4^2 ] [ x1*x2*x4^3, x2*x3, x1*x2, x4^2 ] [ x2*x4^3, x1*x2*x3, x2, x1 ] [ x1*x4*x1, x2*x3, x2, x1*x4*x1*x4 ] [ x1*x4*x1, x2*x3, x4*x1*x4, x1*x4*x1*x4 ] [ x1*x4*x1, x2*x3, x2*x4*x1*x4, x1*x4*x1*x4 ] [ x1*x4*x1, x2, x4*x1*x4, x1*x4*x1*x4 ] [ x1*x4*x1, x2*x3*x4*x1*x4, x2, x1*x4*x1*x4 ] [ x1*x4*x1, x3, x4*x1*x4, x1*x4*x1*x4 ] [ x1*x4*x1, x2*x3*x4*x1*x4, x2*x4*x1*x4, x1*x4*x1*x4 ] [ x2*x3, x2, x4*x1*x4, x1*x4*x1*x4 ] [ x1*x4*x1*x4*x1*x4, x2*x3, x2, x1*x4*x1*x4 ] [ x1*x2*x4*x1, x2*x3, x4*x1*x4, x1*x4*x1*x4 ] [ x1*x4*x1*x4*x1*x4, x2*x3, x2*x4*x1*x4, x1*x4*x1*x4 ] [ x1*x2*x3*x4*x1, x2, x4*x1*x4, x1*x4*x1*x4 ] [ x1*x4*x1*x4*x1*x4, x2*x3*x4*x1*x4, x2, x1*x4*x1*x4 ] [ x1*x2*x4*x1, x3, x4*x1*x4, x1*x4*x1*x4 ] [ x1*x4*x1*x4*x1*x4, x2*x3*x4*x1*x4, x2*x4*x1*x4, x1*x4*x1*x4 ] [ x1*x4*x1, x2*x3, x2, x4*x1*x4 ] [ x3*x4, x3, x2*x1*x2*x1*x2, x1*x2*x1*x2 ] [ x3*x4, x3, x1, x1*x2*x1*x2 ] [ x3*x4, x3, x1*x2*x1*x2*x1*x2, x1*x2*x1*x2 ] [ x3*x4, x2*x1*x2*x1*x2, x1, x1*x2*x1*x2 ] [ x3*x4, x1*x3, x2*x1*x2*x1*x2, x1*x2*x1*x2 ] [ x3*x4, x2*x1*x2*x1*x2*x3, x1, x1*x2*x1*x2 ] [ x3*x4, x1*x3, x1*x2*x1*x2*x1*x2, x1*x2*x1*x2 ] [ x3, x2*x1*x2*x1*x2, x1, x1*x2*x1*x2 ] [ x1*x3*x4, x3, x2*x1*x2*x1*x2, x1*x2*x1*x2 ] [ x2*x1*x2*x1*x2*x3*x4, x3, x1, x1*x2*x1*x2 ] [ x1*x3*x4, x3, x1*x2*x1*x2*x1*x2, x1*x2*x1*x2 ] [ x4, x2*x1*x2*x1*x2, x1, x1*x2*x1*x2 ] [ x1*x3*x4, x1*x3, x2*x1*x2*x1*x2, x1*x2*x1*x2 ] [ x2*x1*x2*x1*x2*x3*x4, x2*x1*x2*x1*x2*x3, x1, x1*x2*x1*x2 ] [ x1*x3*x4, x1*x3, x1*x2*x1*x2*x1*x2, x1*x2*x1*x2 ] [ x3*x4, x3, x2*x1*x2*x1*x2, x1 ] [ x6*x1*x6*x1*x6, x3*x5, x2*x4, x3, x2, x6^2, x1*x2*x6*x1*x2*x6 ] [ x6*x1*x6*x1*x6, x3*x5, x2*x4, x3, x1, x6^2, x1*x2*x6*x1*x2*x6 ] [ x6*x1*x6*x1*x6, x3*x5, x2*x4, x3, x1*x2, x6^2, x1*x2*x6*x1*x2*x6 ] [ x6*x1*x6*x1*x6, x3*x5, x2*x4, x2, x1, x6^2, x1*x2*x6*x1*x2*x6 ] [ x6*x1*x6*x1*x6, x3*x5, x2*x4, x1*x3, x2, x6^2, x1*x2*x6*x1*x2*x6 ] [ x6*x1*x6*x1*x6, x3*x5, x2*x4, x2*x3, x1, x6^2, x1*x2*x6*x1*x2*x6 ] [ x6*x1*x6*x1*x6, x3*x5, x2*x4, x1*x3, x1*x2, x6^2, x1*x2*x6*x1*x2*x6 ] [ x6*x1*x6*x1*x6, x3*x5, x3, x2, x1, x6^2, x1*x2*x6*x1*x2*x6 ] [ x6*x1*x6*x1*x6, x3*x5, x1*x2*x4, x3, x2, x6^2, x1*x2*x6*x1*x2*x6 ] [ x6*x1*x6*x1*x6, x3*x5, x4, x3, x1, x6^2, x1*x2*x6*x1*x2*x6 ] [ x6*x1*x6*x1*x6, x3*x5, x1*x2*x4, x3, x1*x2, x6^2, x1*x2*x6*x1*x2*x6 ] [ x6*x1*x6*x1*x6, x3*x5, x2*x3*x4, x2, x1, x6^2, x1*x2*x6*x1*x2*x6 ] [ x6*x1*x6*x1*x6, x3*x5, x1*x2*x4, x1*x3, x2, x6^2, x1*x2*x6*x1*x2*x6 ] [ x6*x1*x6*x1*x6, x3*x5, x4, x2*x3, x1, x6^2, x1*x2*x6*x1*x2*x6 ] [ x6*x1*x6*x1*x6, x3*x5, x1*x2*x4, x1*x3, x1*x2, x6^2, x1*x2*x6*x1*x2*x6 ] [ x6*x1*x6*x1*x6, x2*x4, x3, x2, x1, x6^2, x1*x2*x6*x1*x2*x6 ] [ x6*x1*x6*x1*x6, x1*x3*x5, x2*x4, x3, x2, x6^2, x1*x2*x6*x1*x2*x6 ] [ x6*x1*x6*x1*x6, x2*x3*x5, x2*x4, x3, x1, x6^2, x1*x2*x6*x1*x2*x6 ] [ x6*x1*x6*x1*x6, x1*x3*x5, x2*x4, x3, x1*x2, x6^2, x1*x2*x6*x1*x2*x6 ] [ x6*x1*x6*x1*x6, x5, x2*x4, x2, x1, x6^2, x1*x2*x6*x1*x2*x6 ] [ x6*x1*x6*x1*x6, x1*x3*x5, x2*x4, x1*x3, x2, x6^2, x1*x2*x6*x1*x2*x6 ] [ x6*x1*x6*x1*x6, x2*x3*x5, x2*x4, x2*x3, x1, x6^2, x1*x2*x6*x1*x2*x6 ] [ x6*x1*x6*x1*x6, x1*x3*x5, x2*x4, x1*x3, x1*x2, x6^2, x1*x2*x6*x1*x2*x6 ] [ x6*x1*x6*x1*x6, x2*x3*x4*x5, x3, x2, x1, x6^2, x1*x2*x6*x1*x2*x6 ] [ x6*x1*x6*x1*x6, x1*x3*x5, x1*x2*x4, x3, x2, x6^2, x1*x2*x6*x1*x2*x6 ] [ x6*x1*x6*x1*x6, x2*x3*x5, x4, x3, x1, x6^2, x1*x2*x6*x1*x2*x6 ] [ x6*x1*x6*x1*x6, x1*x3*x5, x1*x2*x4, x3, x1*x2, x6^2, x1*x2*x6*x1*x2*x6 ] [ x6*x1*x6*x1*x6, x5, x2*x3*x4, x2, x1, x6^2, x1*x2*x6*x1*x2*x6 ] [ x6*x1*x6*x1*x6, x1*x3*x5, x1*x2*x4, x1*x3, x2, x6^2, x1*x2*x6*x1*x2*x6 ] [ x6*x1*x6*x1*x6, x2*x3*x5, x4, x2*x3, x1, x6^2, x1*x2*x6*x1*x2*x6 ] [ x6*x1*x6*x1*x6, x1*x3*x5, x1*x2*x4, x1*x3, x1*x2, x6^2, x1*x2*x6*x1*x2*x6 ] [ x3*x5, x2*x4, x3, x2, x1, x6^2, x1*x2*x6*x1*x2*x6 ] [ x1*x6*x1*x6*x1*x6, x3*x5, x2*x4, x3, x2, x6^2, x1*x2*x6*x1*x2*x6 ] [ x2*x6*x1*x6*x1*x6, x3*x5, x2*x4, x3, x1, x6^2, x1*x2*x6*x1*x2*x6 ] [ x1*x6*x1*x6*x1*x6, x3*x5, x2*x4, x3, x1*x2, x6^2, x1*x2*x6*x1*x2*x6 ] [ x3*x6*x1*x6*x1*x6, x3*x5, x2*x4, x2, x1, x6^2, x1*x2*x6*x1*x2*x6 ] [ x1*x6*x1*x6*x1*x6, x3*x5, x2*x4, x1*x3, x2, x6^2, x1*x2*x6*x1*x2*x6 ] [ x2*x6*x1*x6*x1*x6, x3*x5, x2*x4, x2*x3, x1, x6^2, x1*x2*x6*x1*x2*x6 ] [ x1*x6*x1*x6*x1*x6, x3*x5, x2*x4, x1*x3, x1*x2, x6^2, x1*x2*x6*x1*x2*x6 ] [ x2*x4*x6*x1*x6*x1*x6, x3*x5, x3, x2, x1, x6^2, x1*x2*x6*x1*x2*x6 ] [ x1*x6*x1*x6*x1*x6, x3*x5, x1*x2*x4, x3, x2, x6^2, x1*x2*x6*x1*x2*x6 ] [ x2*x6*x1*x6*x1*x6, x3*x5, x4, x3, x1, x6^2, x1*x2*x6*x1*x2*x6 ] [ x1*x6*x1*x6*x1*x6, x3*x5, x1*x2*x4, x3, x1*x2, x6^2, x1*x2*x6*x1*x2*x6 ] [ x3*x6*x1*x6*x1*x6, x3*x5, x2*x3*x4, x2, x1, x6^2, x1*x2*x6*x1*x2*x6 ] [ x1*x6*x1*x6*x1*x6, x3*x5, x1*x2*x4, x1*x3, x2, x6^2, x1*x2*x6*x1*x2*x6 ] [ x2*x6*x1*x6*x1*x6, x3*x5, x4, x2*x3, x1, x6^2, x1*x2*x6*x1*x2*x6 ] [ x1*x6*x1*x6*x1*x6, x3*x5, x1*x2*x4, x1*x3, x1*x2, x6^2, x1*x2*x6*x1*x2*x6 ] [ x3*x5*x6*x1*x6*x1*x6, x2*x4, x3, x2, x1, x6^2, x1*x2*x6*x1*x2*x6 ] [ x1*x6*x1*x6*x1*x6, x1*x3*x5, x2*x4, x3, x2, x6^2, x1*x2*x6*x1*x2*x6 ] [ x2*x6*x1*x6*x1*x6, x2*x3*x5, x2*x4, x3, x1, x6^2, x1*x2*x6*x1*x2*x6 ] [ x1*x6*x1*x6*x1*x6, x1*x3*x5, x2*x4, x3, x1*x2, x6^2, x1*x2*x6*x1*x2*x6 ] [ x3*x6*x1*x6*x1*x6, x5, x2*x4, x2, x1, x6^2, x1*x2*x6*x1*x2*x6 ] [ x1*x6*x1*x6*x1*x6, x1*x3*x5, x2*x4, x1*x3, x2, x6^2, x1*x2*x6*x1*x2*x6 ] [ x2*x6*x1*x6*x1*x6, x2*x3*x5, x2*x4, x2*x3, x1, x6^2, x1*x2*x6*x1*x2*x6 ] [ x1*x6*x1*x6*x1*x6, x1*x3*x5, x2*x4, x1*x3, x1*x2, x6^2, x1*x2*x6*x1*x2*x6 ] [ x2*x4*x6*x1*x6*x1*x6, x2*x3*x4*x5, x3, x2, x1, x6^2, x1*x2*x6*x1*x2*x6 ] [ x1*x6*x1*x6*x1*x6, x1*x3*x5, x1*x2*x4, x3, x2, x6^2, x1*x2*x6*x1*x2*x6 ] [ x2*x6*x1*x6*x1*x6, x2*x3*x5, x4, x3, x1, x6^2, x1*x2*x6*x1*x2*x6 ] [ x1*x6*x1*x6*x1*x6, x1*x3*x5, x1*x2*x4, x3, x1*x2, x6^2, x1*x2*x6*x1*x2*x6 ] [ x3*x6*x1*x6*x1*x6, x5, x2*x3*x4, x2, x1, x6^2, x1*x2*x6*x1*x2*x6 ] [ x1*x6*x1*x6*x1*x6, x1*x3*x5, x1*x2*x4, x1*x3, x2, x6^2, x1*x2*x6*x1*x2*x6 ] [ x2*x6*x1*x6*x1*x6, x2*x3*x5, x4, x2*x3, x1, x6^2, x1*x2*x6*x1*x2*x6 ] [ x1*x6*x1*x6*x1*x6, x1*x3*x5, x1*x2*x4, x1*x3, x1*x2, x6^2, x1*x2*x6*x1*x2*x6 ] [ x6*x1*x6*x1*x6, x3*x5, x2*x4, x3, x2, x1, x1*x2*x6*x1*x2*x6 ] [ x6*x1*x6*x1*x6, x3*x5, x2*x4, x3, x2, x1, x6^2 ] [ x1^3 ] [ x1^4 ] [ x3^3, x2^3, x3^4, x2^2 ] [ x3^3, x1, x3^4, x2^2 ] [ x3^3, x1*x2^3, x3^4, x2^2 ] [ x2^3, x1, x3^4, x2^2 ] [ x1*x3^3, x2^3, x3^4, x2^2 ] [ x2^3*x3^3, x1, x3^4, x2^2 ] [ x1*x3^3, x1*x2^3, x3^4, x2^2 ] [ x3^3, x2^3, x1, x3^4 ] [ x3^3, x2^3, x1, x2^2 ] [ x3^3, x2^3, x1, x2^4*x3^4 ] [ x3^3, x2^3, x1, x2^2*x3^4 ] [ x2*x3^3, x1*x2^3, x3^4, x2^2 ] [ x2*x3^3, x2^3, x3^4, x2^2 ] [ x2*x3^3, x1, x3^4, x2^2 ] [ x1*x2^3, x2^3, x3^4, x2^2 ] [ x2^4*x3^3, x1*x2^3, x3^4, x2^2 ] [ x1*x2^4*x3^3, x2^3, x3^4, x2^2 ] [ x2^4*x3^3, x1, x3^4, x2^2 ] [ x2*x3^3, x1*x2^3, x2^3, x2^2 ] [ x2*x3^3, x1*x2^3, x2^3, x3^4 ] [ x3^3, x1*x3^2*x2*x3^4, x2*x3^2*x2*x3^2, x2*x3^2*x2*x3^4 ] [ x3^3, x1, x2*x3^2*x2*x3^2, x2*x3^2*x2*x3^4 ] [ x3^3, x3^2*x2*x3^4, x2*x3^2*x2*x3^2, x2*x3^2*x2*x3^4 ] [ x1*x3^2*x2*x3^4, x1, x2*x3^2*x2*x3^2, x2*x3^2*x2*x3^4 ] [ x1*x3^3, x1*x3^2*x2*x3^4, x2*x3^2*x2*x3^2, x2*x3^2*x2*x3^4 ] [ x1*x3^2*x2*x3, x1, x2*x3^2*x2*x3^2, x2*x3^2*x2*x3^4 ] [ x1*x3^3, x3^2*x2*x3^4, x2*x3^2*x2*x3^2, x2*x3^2*x2*x3^4 ] [ x3^3, x1*x3^2*x2*x3^4, x1, x2*x3^2*x2*x3^4 ] [ x3^3, x1*x3^2*x2*x3^4, x1, x2*x3^2*x2*x3^2 ] [ x2^4*x3^3, x1, x2^4, x3^2 ] [ x2^4*x3^3, x1*x2^2*x3^2*x2, x2^4, x3^2 ] [ x2^4*x3^3, x2^2*x3^2*x2, x2^4, x3^2 ] [ x1, x1*x2^2*x3^2*x2, x2^4, x3^2 ] [ x1*x2*x3, x1, x2^4, x3^2 ] [ x1*x2^4*x3^3, x1*x2^2*x3^2*x2, x2^4, x3^2 ] [ x1*x2*x3, x2^2*x3^2*x2, x2^4, x3^2 ] [ x2^4*x3^3, x1, x1*x2^2*x3^2*x2, x3^2 ] [ x2^4*x3^3, x1, x1*x2^2*x3^2*x2, x2^4 ] [ x3^3, x2^3, x1*x2^2*x1*x3^2, x2^2 ] [ x3^3, x1*x2^2, x1*x2^2*x1*x3^2, x2^2 ] [ x3^3, x2*x1, x1*x2^2*x1*x3^2, x2^2 ] [ x2^3, x1*x2^2, x1*x2^2*x1*x3^2, x2^2 ] [ x1*x2^2*x3^3, x2^3, x1*x2^2*x1*x3^2, x2^2 ] [ x2^3*x3^3, x1*x2^2, x1*x2^2*x1*x3^2, x2^2 ] [ x1*x2^2*x3^3, x2*x1, x1*x2^2*x1*x3^2, x2^2 ] [ x3^3, x2^3, x1*x2^2, x1*x2^2*x1*x3^2 ] [ x3^3, x2^3, x1*x2^2, x2^2 ] [ x3^3, x2^3, x1*x2^2, x2^2*x3^2 ] [ x3^3, x2^3, x1*x2^2, x3^2 ] [ x3^3, x2^3, x3^4, x2^2 ] [ x3^3, x1, x3^4, x2^2 ] [ x3^3, x1*x2^3, x3^4, x2^2 ] [ x2^3, x1, x3^4, x2^2 ] [ x1*x3^3, x2^3, x3^4, x2^2 ] [ x2^3*x3^3, x1, x3^4, x2^2 ] [ x1*x3^3, x1*x2^3, x3^4, x2^2 ] [ x3^3, x2^3, x1, x3^4 ] [ x3^3, x2^3, x1, x2^2 ] [ x3^3, x2^3, x1, x2^4*x3^4 ] [ x3^3, x2^3, x1, x2^2*x3^4 ] [ x2^4*x3^3, x1, x3^4, x2^2 ] [ x2^4*x3^3, x2^3, x3^4, x2^2 ] [ x2^4*x3^3, x1*x2^3, x3^4, x2^2 ] [ x1, x2^3, x3^4, x2^2 ] [ x2*x3^3, x1, x3^4, x2^2 ] [ x1*x2^4*x3^3, x2^3, x3^4, x2^2 ] [ x2*x3^3, x1*x2^3, x3^4, x2^2 ] [ x2^4*x3^3, x1, x2^3, x2^2 ] [ x2^4*x3^3, x1, x2^3, x3^4 ] [ x1*x3^3, x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x1*x3^3, x1, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x1*x3^3, x1*x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x2, x1, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x3^3, x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x1*x2*x3^3, x1, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x3^3, x1*x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x1*x3^3, x2, x1, x1*x3^2*x1*x3^4 ] [ x1*x3^3, x2, x1, x1*x3^2*x1*x3^2 ] [ x3^3, x1*x2^3*x3^2, x2^4, x3^2 ] [ x3^3, x1, x2^4, x3^2 ] [ x3^3, x2^3*x3^2, x2^4, x3^2 ] [ x1*x2^3*x3^2, x1, x2^4, x3^2 ] [ x1*x3^3, x1*x2^3*x3^2, x2^4, x3^2 ] [ x1*x2^2*x3*x2, x1, x2^4, x3^2 ] [ x1*x3^3, x2^3*x3^2, x2^4, x3^2 ] [ x3^3, x1*x2^3*x3^2, x1, x3^2 ] [ x3^3, x1*x2^3*x3^2, x1, x2^4 ] [ x3^3, x1*x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x3^3, x1, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x3^3, x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x1*x2, x1, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x1*x3^3, x1*x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x1*x2*x3^3, x1, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x1*x3^3, x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x3^3, x1*x2, x1, x1*x3^2*x1*x3^4 ] [ x3^3, x1*x2, x1, x1*x3^2*x1*x3^2 ] [ x3^3, x1, x3^4, x2^4 ] [ x3^3, x1*x2^3, x3^4, x2^4 ] [ x3^3, x2^3, x3^4, x2^4 ] [ x1, x1*x2^3, x3^4, x2^4 ] [ x1*x2^3*x3^3, x1, x3^4, x2^4 ] [ x1*x3^3, x1*x2^3, x3^4, x2^4 ] [ x1*x2^3*x3^3, x2^3, x3^4, x2^4 ] [ x3^3, x1, x1*x2^3, x2^4 ] [ x3^3, x1, x1*x2^3, x3^4 ] [ x1*x2^4*x3^3, x1, x3^4, x2^2 ] [ x1*x2^4*x3^3, x2^3, x3^4, x2^2 ] [ x1*x2^4*x3^3, x1*x2^3, x3^4, x2^2 ] [ x1, x2^3, x3^4, x2^2 ] [ x1*x2*x3^3, x1, x3^4, x2^2 ] [ x2^4*x3^3, x2^3, x3^4, x2^2 ] [ x1*x2*x3^3, x1*x2^3, x3^4, x2^2 ] [ x1*x2^4*x3^3, x1, x2^3, x2^2 ] [ x1*x2^4*x3^3, x1, x2^3, x3^4 ] [ x3^3, x1*x2, x1*x3*x1*x3, x1*x3^2*x1*x3^4 ] [ x3^3, x1, x1*x3*x1*x3, x1*x3^2*x1*x3^4 ] [ x3^3, x2, x1*x3*x1*x3, x1*x3^2*x1*x3^4 ] [ x1*x2, x1, x1*x3*x1*x3, x1*x3^2*x1*x3^4 ] [ x1*x3^3, x1*x2, x1*x3*x1*x3, x1*x3^2*x1*x3^4 ] [ x1*x2*x3^3, x1, x1*x3*x1*x3, x1*x3^2*x1*x3^4 ] [ x1*x3^3, x2, x1*x3*x1*x3, x1*x3^2*x1*x3^4 ] [ x3^3, x1*x2, x1, x1*x3^2*x1*x3^4 ] [ x3^3, x1*x2, x1, x1*x3*x1*x3 ] [ x3^3, x1*x2^3*x3^2, x2^4, x3^2 ] [ x3^3, x1, x2^4, x3^2 ] [ x3^3, x2^3*x3^2, x2^4, x3^2 ] [ x1*x2^3*x3^2, x1, x2^4, x3^2 ] [ x1*x3^3, x1*x2^3*x3^2, x2^4, x3^2 ] [ x1*x2^2*x3*x2, x1, x2^4, x3^2 ] [ x1*x3^3, x2^3*x3^2, x2^4, x3^2 ] [ x3^3, x1*x2^3*x3^2, x1, x3^2 ] [ x3^3, x1*x2^3*x3^2, x1, x2^4 ] [ x3^3, x1*x2^3*x3^2, x2^4, x3^2 ] [ x3^3, x1, x2^4, x3^2 ] [ x3^3, x2^3*x3^2, x2^4, x3^2 ] [ x1*x2^3*x3^2, x1, x2^4, x3^2 ] [ x1*x3^3, x1*x2^3*x3^2, x2^4, x3^2 ] [ x1*x2^2*x3*x2, x1, x2^4, x3^2 ] [ x1*x3^3, x2^3*x3^2, x2^4, x3^2 ] [ x3^3, x1*x2^3*x3^2, x1, x3^2 ] [ x3^3, x1*x2^3*x3^2, x1, x2^4 ] [ x3^3, x2^3*x3^2, x2^4, x3^2 ] [ x3^3, x1, x2^4, x3^2 ] [ x3^3, x1*x2^3*x3^2, x2^4, x3^2 ] [ x2^3*x3^2, x1, x2^4, x3^2 ] [ x1*x3^3, x2^3*x3^2, x2^4, x3^2 ] [ x2^2*x3*x2, x1, x2^4, x3^2 ] [ x1*x3^3, x1*x2^3*x3^2, x2^4, x3^2 ] [ x3^3, x2^3*x3^2, x1, x3^2 ] [ x3^3, x2^3*x3^2, x1, x2^4 ] [ x3^3, x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x3^3, x3^2*x1*x3^4, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x3^3, x2*x3^2*x1*x3^4, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x2, x3^2*x1*x3^4, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x3^2*x1*x3, x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x2*x3^3, x3^2*x1*x3^4, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x3^2*x1*x3, x2*x3^2*x1*x3^4, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x3^3, x2, x3^2*x1*x3^4, x1*x3^2*x1*x3^4 ] [ x3^3, x2, x3^2*x1*x3^4, x1*x3^2*x1*x3^2 ] [ x3^3, x2^3*x3^2, x2^4, x3^2 ] [ x3^3, x1, x2^4, x3^2 ] [ x3^3, x1*x2^3*x3^2, x2^4, x3^2 ] [ x2^3*x3^2, x1, x2^4, x3^2 ] [ x1*x3^3, x2^3*x3^2, x2^4, x3^2 ] [ x2^2*x3*x2, x1, x2^4, x3^2 ] [ x1*x3^3, x1*x2^3*x3^2, x2^4, x3^2 ] [ x3^3, x2^3*x3^2, x1, x3^2 ] [ x3^3, x2^3*x3^2, x1, x2^4 ] [ x3^3, x2^2*x3^2*x2, x2^4, x3^2 ] [ x3^3, x1, x2^4, x3^2 ] [ x3^3, x1*x2^2*x3^2*x2, x2^4, x3^2 ] [ x2^2*x3^2*x2, x1, x2^4, x3^2 ] [ x1*x3^3, x2^2*x3^2*x2, x2^4, x3^2 ] [ x2^3*x3, x1, x2^4, x3^2 ] [ x1*x3^3, x1*x2^2*x3^2*x2, x2^4, x3^2 ] [ x3^3, x2^2*x3^2*x2, x1, x3^2 ] [ x3^3, x2^2*x3^2*x2, x1, x2^4 ] [ x2^3*x3^3, x2^3, x2^2, x3^2 ] [ x2^3*x3^3, x1, x2^2, x3^2 ] [ x2^3*x3^3, x1*x2^3, x2^2, x3^2 ] [ x2^3, x1, x2^2, x3^2 ] [ x1*x2^3*x3^3, x2^3, x2^2, x3^2 ] [ x3^3, x1, x2^2, x3^2 ] [ x1*x2^3*x3^3, x1*x2^3, x2^2, x3^2 ] [ x2^3*x3^3, x2^3, x1, x3^2 ] [ x2^3*x3^3, x2^3, x1, x2^2 ] [ x3^3, x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x3^3, x3*x1*x3^5, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x3^3, x2*x3*x1*x3^5, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x2, x3*x1*x3^5, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x3*x1*x3^2, x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x2*x3^3, x3*x1*x3^5, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x3*x1*x3^2, x2*x3*x1*x3^5, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x3^3, x2, x3*x1*x3^5, x1*x3^2*x1*x3^4 ] [ x3^3, x2, x3*x1*x3^5, x1*x3^2*x1*x3^2 ] [ x3^3, x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x3^3, x3^2*x1*x3^4, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x3^3, x2*x3^2*x1*x3^4, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x2, x3^2*x1*x3^4, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x3^2*x1*x3, x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x2*x3^3, x3^2*x1*x3^4, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x3^2*x1*x3, x2*x3^2*x1*x3^4, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x3^3, x2, x3^2*x1*x3^4, x1*x3^2*x1*x3^4 ] [ x3^3, x2, x3^2*x1*x3^4, x1*x3^2*x1*x3^2 ] [ x1*x2*x1*x2*x1*x2*x3^3, x1*x2*x1, x2*x1*x2*x1*x3^2, x1*x2*x1*x2 ] [ x1*x2*x1*x2*x1*x2*x3^3, x2*x1*x2, x2*x1*x2*x1*x3^2, x1*x2*x1*x2 ] [ x1*x2*x1*x2*x1*x2*x3^3, x1*x2*x1*x2*x1*x2, x2*x1*x2*x1*x3^2, x1*x2*x1*x2 ] [ x1*x2*x1, x2*x1*x2, x2*x1*x2*x1*x3^2, x1*x2*x1*x2 ] [ x1*x2*x1*x3^3, x1*x2*x1, x2*x1*x2*x1*x3^2, x1*x2*x1*x2 ] [ x2*x1*x2*x3^3, x2*x1*x2, x2*x1*x2*x1*x3^2, x1*x2*x1*x2 ] [ x1*x2*x1*x3^3, x1*x2*x1*x2*x1*x2, x2*x1*x2*x1*x3^2, x1*x2*x1*x2 ] [ x1*x2*x1*x2*x1*x2*x3^3, x1*x2*x1, x2*x1*x2, x2*x1*x2*x1*x3^2 ] [ x1*x2*x1*x2*x1*x2*x3^3, x1*x2*x1, x2*x1*x2, x1*x2*x1*x2 ] [ x2^2*x3^3, x1, x2^4, x3^2 ] [ x2^2*x3^3, x2^3, x2^4, x3^2 ] [ x2^2*x3^3, x1*x2^3, x2^4, x3^2 ] [ x1, x2^3, x2^4, x3^2 ] [ x2^5*x3^3, x1, x2^4, x3^2 ] [ x1*x2^2*x3^3, x2^3, x2^4, x3^2 ] [ x2^5*x3^3, x1*x2^3, x2^4, x3^2 ] [ x2^2*x3^3, x1, x2^3, x3^2 ] [ x2^2*x3^3, x1, x2^3, x2^4 ] [ x3^3, x2^3*x3^2, x3^2, x2^2 ] [ x3^3, x1, x3^2, x2^2 ] [ x3^3, x1*x2^3*x3^2, x3^2, x2^2 ] [ x2^3*x3^2, x1, x3^2, x2^2 ] [ x1*x3^3, x2^3*x3^2, x3^2, x2^2 ] [ x2^2*x3*x2, x1, x3^2, x2^2 ] [ x1*x3^3, x1*x2^3*x3^2, x3^2, x2^2 ] [ x3^3, x2^3*x3^2, x1, x2^2 ] [ x3^3, x2^3*x3^2, x1, x3^2 ] [ x2^4*x3^3, x3^2*x1, x2^4, x3^2 ] [ x2^4*x3^3, x2^3*x3^2*x1, x2^4, x3^2 ] [ x2^4*x3^3, x2^3, x2^4, x3^2 ] [ x3^2*x1, x2^3*x3^2*x1, x2^4, x3^2 ] [ x1*x2*x3, x3^2*x1, x2^4, x3^2 ] [ x1*x2^4*x3, x2^3*x3^2*x1, x2^4, x3^2 ] [ x1*x2*x3, x2^3, x2^4, x3^2 ] [ x2^4*x3^3, x3^2*x1, x2^3*x3^2*x1, x3^2 ] [ x2^4*x3^3, x3^2*x1, x2^3*x3^2*x1, x2^4 ] [ x3*x2*x3*x2*x3, x2, x1*x2*x3*x1*x2*x3, x3^2 ] [ x3*x2*x3*x2*x3, x1*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ] [ x3*x2*x3*x2*x3, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ] [ x2, x1*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ] [ x3*x2*x3*x1*x2*x3, x2, x1*x2*x3*x1*x2*x3, x3^2 ] [ x2*x3*x2*x3*x2*x3, x1*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ] [ x3*x2*x3*x1*x2*x3, x1*x2*x3^2, x1*x2*x3*x1*x2*x3, x3^2 ] [ x3*x2*x3*x2*x3, x2, x1*x3^2, x1*x2*x3*x1*x2*x3 ] [ x3*x2*x3*x2*x3, x2, x1*x3^2, x3^2 ] [ x2^2*x3^3, x1, x2^4, x3^2 ] [ x2^2*x3^3, x1*x2^2*x3^2*x2, x2^4, x3^2 ] [ x2^2*x3^3, x2^2*x3^2*x2, x2^4, x3^2 ] [ x1, x1*x2^2*x3^2*x2, x2^4, x3^2 ] [ x1*x2^5*x3, x1, x2^4, x3^2 ] [ x1*x2^2*x3^3, x1*x2^2*x3^2*x2, x2^4, x3^2 ] [ x1*x2^5*x3, x2^2*x3^2*x2, x2^4, x3^2 ] [ x2^2*x3^3, x1, x1*x2^2*x3^2*x2, x3^2 ] [ x2^2*x3^3, x1, x1*x2^2*x3^2*x2, x2^4 ] [ x3^3, x1*x2*x1, x3^2, x1*x2*x1*x2 ] [ x3^3, x2*x1*x2, x3^2, x1*x2*x1*x2 ] [ x3^3, x1*x2*x1*x2*x1*x2, x3^2, x1*x2*x1*x2 ] [ x1*x2*x1, x2*x1*x2, x3^2, x1*x2*x1*x2 ] [ x2*x1*x2*x3^3, x1*x2*x1, x3^2, x1*x2*x1*x2 ] [ x1*x2*x1*x3^3, x2*x1*x2, x3^2, x1*x2*x1*x2 ] [ x2*x1*x2*x3^3, x1*x2*x1*x2*x1*x2, x3^2, x1*x2*x1*x2 ] [ x3^3, x1*x2*x1, x2*x1*x2, x3^2 ] [ x3^3, x1*x2*x1, x2*x1*x2, x1*x2*x1*x2 ] [ x2*x1*x2*x1*x2*x3^3, x1*x2*x1, x3^2, x1*x2*x1*x2 ] [ x2*x1*x2*x1*x2*x3^3, x2*x1*x2, x3^2, x1*x2*x1*x2 ] [ x2*x1*x2*x1*x2*x3^3, x1*x2*x1*x2*x1*x2, x3^2, x1*x2*x1*x2 ] [ x1*x2*x1, x2*x1*x2, x3^2, x1*x2*x1*x2 ] [ x1*x2*x3^3, x1*x2*x1, x3^2, x1*x2*x1*x2 ] [ x2*x1*x2*x1*x3^3, x2*x1*x2, x3^2, x1*x2*x1*x2 ] [ x1*x2*x3^3, x1*x2*x1*x2*x1*x2, x3^2, x1*x2*x1*x2 ] [ x2*x1*x2*x1*x2*x3^3, x1*x2*x1, x2*x1*x2, x3^2 ] [ x2*x1*x2*x1*x2*x3^3, x1*x2*x1, x2*x1*x2, x1*x2*x1*x2 ] [ x3^3, x1, x3^4, x2^2 ] [ x3^3, x2^3, x3^4, x2^2 ] [ x3^3, x1*x2^3, x3^4, x2^2 ] [ x1, x2^3, x3^4, x2^2 ] [ x2^3*x3^3, x1, x3^4, x2^2 ] [ x1*x3^3, x2^3, x3^4, x2^2 ] [ x2^3*x3^3, x1*x2^3, x3^4, x2^2 ] [ x3^3, x1, x2^3, x2^2 ] [ x3^3, x1, x2^3, x3^4 ] [ x2^3*x3^3, x1, x3^4, x2^2 ] [ x2^3*x3^3, x2^3, x3^4, x2^2 ] [ x2^3*x3^3, x1*x2^3, x3^4, x2^2 ] [ x1, x2^3, x3^4, x2^2 ] [ x3^3, x1, x3^4, x2^2 ] [ x1*x2^3*x3^3, x2^3, x3^4, x2^2 ] [ x3^3, x1*x2^3, x3^4, x2^2 ] [ x2^3*x3^3, x1, x2^3, x2^2 ] [ x2^3*x3^3, x1, x2^3, x3^4 ] [ x2^5*x3^3, x1, x3^4, x2^2 ] [ x2^5*x3^3, x2^3, x3^4, x2^2 ] [ x2^5*x3^3, x1*x2^3, x3^4, x2^2 ] [ x1, x2^3, x3^4, x2^2 ] [ x2^2*x3^3, x1, x3^4, x2^2 ] [ x1*x2^5*x3^3, x2^3, x3^4, x2^2 ] [ x2^2*x3^3, x1*x2^3, x3^4, x2^2 ] [ x2^5*x3^3, x1, x2^3, x2^2 ] [ x2^5*x3^3, x1, x2^3, x3^4 ] [ x2^5*x3^3, x1, x3^4, x2^2 ] [ x2^5*x3^3, x2^3, x3^4, x2^2 ] [ x2^5*x3^3, x1*x2^3, x3^4, x2^2 ] [ x1, x2^3, x3^4, x2^2 ] [ x2^2*x3^3, x1, x3^4, x2^2 ] [ x1*x2^5*x3^3, x2^3, x3^4, x2^2 ] [ x2^2*x3^3, x1*x2^3, x3^4, x2^2 ] [ x2^5*x3^3, x1, x2^3, x2^2 ] [ x2^5*x3^3, x1, x2^3, x3^4 ] [ x1*x2^3*x3^3, x2^3, x2^2, x3^2 ] [ x1*x2^3*x3^3, x1, x2^2, x3^2 ] [ x1*x2^3*x3^3, x1*x2^3, x2^2, x3^2 ] [ x2^3, x1, x2^2, x3^2 ] [ x2^3*x3^3, x2^3, x2^2, x3^2 ] [ x1*x3^3, x1, x2^2, x3^2 ] [ x2^3*x3^3, x1*x2^3, x2^2, x3^2 ] [ x1*x2^3*x3^3, x2^3, x1, x3^2 ] [ x1*x2^3*x3^3, x2^3, x1, x2^2 ] [ x1*x2*x3^3, x2, x2*x3*x2*x3, x2*x3^2*x2*x3^4 ] [ x1*x2*x3^3, x1, x2*x3*x2*x3, x2*x3^2*x2*x3^4 ] [ x1*x2*x3^3, x1*x2, x2*x3*x2*x3, x2*x3^2*x2*x3^4 ] [ x2, x1, x2*x3*x2*x3, x2*x3^2*x2*x3^4 ] [ x2*x3^3, x2, x2*x3*x2*x3, x2*x3^2*x2*x3^4 ] [ x1*x3^3, x1, x2*x3*x2*x3, x2*x3^2*x2*x3^4 ] [ x2*x3^3, x1*x2, x2*x3*x2*x3, x2*x3^2*x2*x3^4 ] [ x1*x2*x3^3, x2, x1, x2*x3^2*x2*x3^4 ] [ x1*x2*x3^3, x2, x1, x2*x3*x2*x3 ] [ x1*x2*x3^3, x2, x2*x3^2*x2*x3^2, x2*x3^2*x2*x3^4 ] [ x1*x2*x3^3, x1, x2*x3^2*x2*x3^2, x2*x3^2*x2*x3^4 ] [ x1*x2*x3^3, x1*x2, x2*x3^2*x2*x3^2, x2*x3^2*x2*x3^4 ] [ x2, x1, x2*x3^2*x2*x3^2, x2*x3^2*x2*x3^4 ] [ x2*x3^3, x2, x2*x3^2*x2*x3^2, x2*x3^2*x2*x3^4 ] [ x1*x3^3, x1, x2*x3^2*x2*x3^2, x2*x3^2*x2*x3^4 ] [ x2*x3^3, x1*x2, x2*x3^2*x2*x3^2, x2*x3^2*x2*x3^4 ] [ x1*x2*x3^3, x2, x1, x2*x3^2*x2*x3^4 ] [ x1*x2*x3^3, x2, x1, x2*x3^2*x2*x3^2 ] [ x2^3*x3^3, x2^3, x2^2, x3^2 ] [ x2^3*x3^3, x1, x2^2, x3^2 ] [ x2^3*x3^3, x1*x2^3, x2^2, x3^2 ] [ x2^3, x1, x2^2, x3^2 ] [ x1*x2^3*x3^3, x2^3, x2^2, x3^2 ] [ x3^3, x1, x2^2, x3^2 ] [ x1*x2^3*x3^3, x1*x2^3, x2^2, x3^2 ] [ x2^3*x3^3, x2^3, x1, x3^2 ] [ x2^3*x3^3, x2^3, x1, x2^2 ] [ x3^3, x1*x3^2*x2*x3^4, x2*x3*x2*x3, x2*x3^2*x2*x3^4 ] [ x3^3, x1, x2*x3*x2*x3, x2*x3^2*x2*x3^4 ] [ x3^3, x3^2*x2*x3^4, x2*x3*x2*x3, x2*x3^2*x2*x3^4 ] [ x1*x3^2*x2*x3^4, x1, x2*x3*x2*x3, x2*x3^2*x2*x3^4 ] [ x1*x3^3, x1*x3^2*x2*x3^4, x2*x3*x2*x3, x2*x3^2*x2*x3^4 ] [ x1*x3^2*x2*x3, x1, x2*x3*x2*x3, x2*x3^2*x2*x3^4 ] [ x1*x3^3, x3^2*x2*x3^4, x2*x3*x2*x3, x2*x3^2*x2*x3^4 ] [ x3^3, x1*x3^2*x2*x3^4, x1, x2*x3^2*x2*x3^4 ] [ x3^3, x1*x3^2*x2*x3^4, x1, x2*x3*x2*x3 ] [ x3^3, x1*x2*x1*x2*x1*x2*x3^2, x3^2, x1*x2*x1*x2 ] [ x3^3, x1, x3^2, x1*x2*x1*x2 ] [ x3^3, x2*x1*x2*x1*x2*x3^2, x3^2, x1*x2*x1*x2 ] [ x1*x2*x1*x2*x1*x2*x3^2, x1, x3^2, x1*x2*x1*x2 ] [ x1*x3^3, x1*x2*x1*x2*x1*x2*x3^2, x3^2, x1*x2*x1*x2 ] [ x1*x2*x1*x2*x1*x3*x2, x1, x3^2, x1*x2*x1*x2 ] [ x1*x3^3, x2*x1*x2*x1*x2*x3^2, x3^2, x1*x2*x1*x2 ] [ x3^3, x1*x2*x1*x2*x1*x2*x3^2, x1, x1*x2*x1*x2 ] [ x3^3, x1*x2*x1*x2*x1*x2*x3^2, x1, x3^2 ] [ x1*x3^3, x1, x2^2, x3^2 ] [ x1*x3^3, x2^2*x3^2*x2, x2^2, x3^2 ] [ x1*x3^3, x1*x2^2*x3^2*x2, x2^2, x3^2 ] [ x1, x2^2*x3^2*x2, x2^2, x3^2 ] [ x1*x2^3*x3, x1, x2^2, x3^2 ] [ x3^3, x2^2*x3^2*x2, x2^2, x3^2 ] [ x1*x2^3*x3, x1*x2^2*x3^2*x2, x2^2, x3^2 ] [ x1*x3^3, x1, x2^2*x3^2*x2, x3^2 ] [ x1*x3^3, x1, x2^2*x3^2*x2, x2^2 ] [ x1*x3^3, x1*x2^3*x3^2, x3^2, x2^2 ] [ x1*x3^3, x1, x3^2, x2^2 ] [ x1*x3^3, x2^3*x3^2, x3^2, x2^2 ] [ x1*x2^3*x3^2, x1, x3^2, x2^2 ] [ x3^3, x1*x2^3*x3^2, x3^2, x2^2 ] [ x2^2*x3*x2, x1, x3^2, x2^2 ] [ x3^3, x2^3*x3^2, x3^2, x2^2 ] [ x1*x3^3, x1*x2^3*x3^2, x1, x3^2 ] [ x1*x3^3, x1*x2^3*x3^2, x1, x2^2 ] [ x1*x2^4*x3^3, x1, x2^2, x3^2 ] [ x1*x2^4*x3^3, x2^3, x2^2, x3^2 ] [ x1*x2^4*x3^3, x1*x2^3, x2^2, x3^2 ] [ x1, x2^3, x2^2, x3^2 ] [ x1*x2*x3^3, x1, x2^2, x3^2 ] [ x2^4*x3^3, x2^3, x2^2, x3^2 ] [ x1*x2*x3^3, x1*x2^3, x2^2, x3^2 ] [ x1*x2^4*x3^3, x1, x2^3, x3^2 ] [ x1*x2^4*x3^3, x1, x2^3, x2^2 ] [ x1*x2^3*x3^3, x2^3, x3^2, x2^2 ] [ x1*x2^3*x3^3, x1, x3^2, x2^2 ] [ x1*x2^3*x3^3, x1*x2^3, x3^2, x2^2 ] [ x2^3, x1, x3^2, x2^2 ] [ x2^3*x3^3, x2^3, x3^2, x2^2 ] [ x1*x3^3, x1, x3^2, x2^2 ] [ x2^3*x3^3, x1*x2^3, x3^2, x2^2 ] [ x1*x2^3*x3^3, x2^3, x1, x3^2 ] [ x1*x2^3*x3^3, x2^3, x1, x2^2 ] [ x1*x2^3*x3^3, x2^3, x1, x1*x2^2*x1*x3^2 ] [ x1*x2^3*x3^3, x2^3, x1, x2^2*x3^2 ] [ x2*x3^3, x2, x1*x3*x1*x3, x2*x3*x2*x3 ] [ x2*x3^3, x1*x2*x3*x2*x3, x1*x3*x1*x3, x2*x3*x2*x3 ] [ x2*x3^3, x1*x3*x2*x3, x1*x3*x1*x3, x2*x3*x2*x3 ] [ x2, x1*x2*x3*x2*x3, x1*x3*x1*x3, x2*x3*x2*x3 ] [ x2*x3^2*x1*x3, x2, x1*x3*x1*x3, x2*x3*x2*x3 ] [ x3^3, x1*x2*x3*x2*x3, x1*x3*x1*x3, x2*x3*x2*x3 ] [ x2*x3^2*x1*x3, x1*x3*x2*x3, x1*x3*x1*x3, x2*x3*x2*x3 ] [ x2*x3^3, x2, x1*x2*x3*x2*x3, x1*x3*x1*x3 ] [ x2*x3^3, x2, x1*x2*x3*x2*x3, x2*x3*x2*x3 ] [ x3^3, x1, x2^2, x3^2 ] [ x3^3, x1*x2^3*x3^2, x2^2, x3^2 ] [ x3^3, x2^3*x3^2, x2^2, x3^2 ] [ x1, x1*x2^3*x3^2, x2^2, x3^2 ] [ x1*x2^4*x3*x2, x1, x2^2, x3^2 ] [ x1*x3^3, x1*x2^3*x3^2, x2^2, x3^2 ] [ x1*x2^4*x3*x2, x2^3*x3^2, x2^2, x3^2 ] [ x3^3, x1, x1*x2^3*x3^2, x2^2 ] [ x3^3, x1, x1*x2^3*x3^2, x3^2 ] [ x2*x3*x2*x3*x2*x3^3, x2, x2*x3*x2*x3, x2*x3*x2*x3^3 ] [ x2*x3*x2*x3*x2*x3^3, x1, x2*x3*x2*x3, x2*x3*x2*x3^3 ] [ x2*x3*x2*x3*x2*x3^3, x1*x2, x2*x3*x2*x3, x2*x3*x2*x3^3 ] [ x2, x1, x2*x3*x2*x3, x2*x3*x2*x3^3 ] [ x1*x2*x3*x2*x3*x2*x3^3, x2, x2*x3*x2*x3, x2*x3*x2*x3^3 ] [ x3*x2*x3*x2*x3^3, x1, x2*x3*x2*x3, x2*x3*x2*x3^3 ] [ x1*x2*x3*x2*x3*x2*x3^3, x1*x2, x2*x3*x2*x3, x2*x3*x2*x3^3 ] [ x2*x3*x2*x3*x2*x3^3, x2, x1, x2*x3^2*x2 ] [ x2*x3*x2*x3*x2*x3^3, x2, x1, x2*x3*x2*x3 ] [ x3*x1*x2*x3*x1*x2*x3, x1*x2*x3^2*x1, x2*x3*x2*x3, x3^2 ] [ x3*x1*x2*x3*x1*x2*x3, x3^2*x1, x2*x3*x2*x3, x3^2 ] [ x3*x1*x2*x3*x1*x2*x3, x1*x2, x2*x3*x2*x3, x3^2 ] [ x1*x2*x3^2*x1, x3^2*x1, x2*x3*x2*x3, x3^2 ] [ x1*x3*x2*x3*x2*x3, x1*x2*x3^2*x1, x2*x3*x2*x3, x3^2 ] [ x2*x3*x2*x3*x2*x3, x3^2*x1, x2*x3*x2*x3, x3^2 ] [ x1*x3*x2*x3*x2*x3, x1*x2, x2*x3*x2*x3, x3^2 ] [ x3*x1*x2*x3*x1*x2*x3, x1*x2*x3^2*x1, x3^2*x1, x2*x3*x2*x3 ] [ x3*x1*x2*x3*x1*x2*x3, x1*x2*x3^2*x1, x3^2*x1, x3^2 ] [ x1*x2^2*x1*x3^3, x2^3*x3^2, x3^2, x2^2 ] [ x1*x2^2*x1*x3^3, x1*x2^2, x3^2, x2^2 ] [ x1*x2^2*x1*x3^3, x2*x1*x3^2, x3^2, x2^2 ] [ x2^3*x3^2, x1*x2^2, x3^2, x2^2 ] [ x1*x3^3, x2^3*x3^2, x3^2, x2^2 ] [ x2^2*x3*x2, x1*x2^2, x3^2, x2^2 ] [ x1*x3^3, x2*x1*x3^2, x3^2, x2^2 ] [ x1*x2^2*x1*x3^3, x2^3*x3^2, x1*x2^2, x3^2 ] [ x1*x2^2*x1*x3^3, x2^3*x3^2, x1*x2^2, x2^2 ] [ x1*x3^3, x2^3, x3^2, x2^2 ] [ x1*x3^3, x1, x3^2, x2^2 ] [ x1*x3^3, x1*x2^3, x3^2, x2^2 ] [ x2^3, x1, x3^2, x2^2 ] [ x3^3, x2^3, x3^2, x2^2 ] [ x1*x2^3*x3^3, x1, x3^2, x2^2 ] [ x3^3, x1*x2^3, x3^2, x2^2 ] [ x1*x3^3, x2^3, x1, x2^2 ] [ x1*x3^3, x2^3, x1, x3^2 ] [ x1*x3*x1*x3*x1*x3, x2^3, x1*x3*x1*x3, x2^2 ] [ x1*x3*x1*x3*x1*x3, x1, x1*x3*x1*x3, x2^2 ] [ x1*x3*x1*x3*x1*x3, x1*x2^3, x1*x3*x1*x3, x2^2 ] [ x2^3, x1, x1*x3*x1*x3, x2^2 ] [ x3*x1*x3*x1*x3, x2^3, x1*x3*x1*x3, x2^2 ] [ x1*x2^3*x3*x1*x3*x1*x3, x1, x1*x3*x1*x3, x2^2 ] [ x3*x1*x3*x1*x3, x1*x2^3, x1*x3*x1*x3, x2^2 ] [ x1*x3*x1*x3*x1*x3, x2^3, x1, x2^2 ] [ x1*x3*x1*x3*x1*x3, x2^3, x1, x1*x3*x1*x3 ] [ x3^3, x1*x2^3*x3^2, x3^2, x2^2 ] [ x3^3, x1, x3^2, x2^2 ] [ x3^3, x2^3*x3^2, x3^2, x2^2 ] [ x1*x2^3*x3^2, x1, x3^2, x2^2 ] [ x1*x3^3, x1*x2^3*x3^2, x3^2, x2^2 ] [ x1*x2^2*x3*x2, x1, x3^2, x2^2 ] [ x1*x3^3, x2^3*x3^2, x3^2, x2^2 ] [ x3^3, x1*x2^3*x3^2, x1, x2^2 ] [ x3^3, x1*x2^3*x3^2, x1, x3^2 ] [ x1*x3*x2*x3*x2*x3^3, x2, x2*x3^2*x2, x2*x3*x2*x3^3 ] [ x1*x3*x2*x3*x2*x3^3, x1, x2*x3^2*x2, x2*x3*x2*x3^3 ] [ x1*x3*x2*x3*x2*x3^3, x1*x2, x2*x3^2*x2, x2*x3*x2*x3^3 ] [ x2, x1, x2*x3^2*x2, x2*x3*x2*x3^3 ] [ x3*x2*x3*x2*x3^3, x2, x2*x3^2*x2, x2*x3*x2*x3^3 ] [ x1*x2*x3*x2*x3*x2*x3^3, x1, x2*x3^2*x2, x2*x3*x2*x3^3 ] [ x3*x2*x3*x2*x3^3, x1*x2, x2*x3^2*x2, x2*x3*x2*x3^3 ] [ x1*x3*x2*x3*x2*x3^3, x2, x1, x2*x3^2*x2 ] [ x1*x3*x2*x3*x2*x3^3, x2, x1, x2*x3*x2*x3 ] [ x2*x1*x2*x3^3, x1*x2*x1, x3^2, x1*x2*x1*x2 ] [ x2*x1*x2*x3^3, x2*x1*x2, x3^2, x1*x2*x1*x2 ] [ x2*x1*x2*x3^3, x1*x2*x1*x2*x1*x2, x3^2, x1*x2*x1*x2 ] [ x1*x2*x1, x2*x1*x2, x3^2, x1*x2*x1*x2 ] [ x3^3, x1*x2*x1, x3^2, x1*x2*x1*x2 ] [ x1*x2*x1*x2*x1*x2*x3^3, x2*x1*x2, x3^2, x1*x2*x1*x2 ] [ x3^3, x1*x2*x1*x2*x1*x2, x3^2, x1*x2*x1*x2 ] [ x2*x1*x2*x3^3, x1*x2*x1, x2*x1*x2, x3^2 ] [ x2*x1*x2*x3^3, x1*x2*x1, x2*x1*x2, x1*x2*x1*x2 ] [ x1*x3^3, x2^3*x3^2, x3^2, x2^2 ] [ x1*x3^3, x1, x3^2, x2^2 ] [ x1*x3^3, x1*x2^3*x3^2, x3^2, x2^2 ] [ x2^3*x3^2, x1, x3^2, x2^2 ] [ x3^3, x2^3*x3^2, x3^2, x2^2 ] [ x1*x2^2*x3*x2, x1, x3^2, x2^2 ] [ x3^3, x1*x2^3*x3^2, x3^2, x2^2 ] [ x1*x3^3, x2^3*x3^2, x1, x3^2 ] [ x1*x3^3, x2^3*x3^2, x1, x2^2 ] [ x1*x3^3, x2^3*x3^2, x3^2, x2^2 ] [ x1*x3^3, x1, x3^2, x2^2 ] [ x1*x3^3, x1*x2^3*x3^2, x3^2, x2^2 ] [ x2^3*x3^2, x1, x3^2, x2^2 ] [ x3^3, x2^3*x3^2, x3^2, x2^2 ] [ x1*x2^2*x3*x2, x1, x3^2, x2^2 ] [ x3^3, x1*x2^3*x3^2, x3^2, x2^2 ] [ x1*x3^3, x2^3*x3^2, x1, x3^2 ] [ x1*x3^3, x2^3*x3^2, x1, x2^2 ] [ x2*x1*x2*x1*x2*x3^3, x2, x3^2, x1*x2*x1*x2 ] [ x2*x1*x2*x1*x2*x3^3, x1*x2*x1*x2*x1, x3^2, x1*x2*x1*x2 ] [ x2*x1*x2*x1*x2*x3^3, x1*x2*x1*x2*x1*x2, x3^2, x1*x2*x1*x2 ] [ x2, x1*x2*x1*x2*x1, x3^2, x1*x2*x1*x2 ] [ x2*x1*x3^3, x2, x3^2, x1*x2*x1*x2 ] [ x1*x2*x1*x2*x3^3, x1*x2*x1*x2*x1, x3^2, x1*x2*x1*x2 ] [ x2*x1*x3^3, x1*x2*x1*x2*x1*x2, x3^2, x1*x2*x1*x2 ] [ x2*x1*x2*x1*x2*x3^3, x2, x1*x2*x1*x2*x1, x1*x2*x1*x2 ] [ x2*x1*x2*x1*x2*x3^3, x2, x1*x2*x1*x2*x1, x3^2 ] [ x1*x3^3, x1*x2^3, x2^2*x3^2, x2^2 ] [ x1*x3^3, x1, x2^2*x3^2, x2^2 ] [ x1*x3^3, x2^3, x2^2*x3^2, x2^2 ] [ x1*x2^3, x1, x2^2*x3^2, x2^2 ] [ x3^3, x1*x2^3, x2^2*x3^2, x2^2 ] [ x2^3*x3^3, x1, x2^2*x3^2, x2^2 ] [ x3^3, x2^3, x2^2*x3^2, x2^2 ] [ x1*x3^3, x1*x2^3, x1, x2^2*x3^2 ] [ x1*x3^3, x1*x2^3, x1, x2^2 ] [ x1*x3^3, x1*x2^3, x1, x3^2 ] [ x1*x3^3, x1*x2^3, x1, x1*x2^2*x1*x3^2 ] [ x2^3*x3^3, x2^3, x3^2, x2^2 ] [ x2^3*x3^3, x1*x2^2*x1*x3^2*x1, x3^2, x2^2 ] [ x2^3*x3^3, x2*x3^2*x1, x3^2, x2^2 ] [ x2^3, x1*x2^2*x1*x3^2*x1, x3^2, x2^2 ] [ x2*x1*x3, x2^3, x3^2, x2^2 ] [ x3^3, x1*x2^2*x1*x3^2*x1, x3^2, x2^2 ] [ x2*x1*x3, x2*x3^2*x1, x3^2, x2^2 ] [ x2^3*x3^3, x2^3, x1*x2^2*x1*x3^2*x1, x3^2 ] [ x2^3*x3^3, x2^3, x1*x2^2*x1*x3^2*x1, x2^2 ] [ x2^3*x3^3, x2^3, x1*x2^2*x1*x3^2*x1, x1*x2^2*x1*x3^2 ] [ x2^3*x3^3, x2^3, x1*x2^2*x1*x3^2*x1, x2^2*x3^2 ] [ x2^2*x3*x1*x3*x1*x3, x2^3, x1*x3*x1*x3, x2^2 ] [ x2^2*x3*x1*x3*x1*x3, x2^2*x1, x1*x3*x1*x3, x2^2 ] [ x2^2*x3*x1*x3*x1*x3, x1*x2, x1*x3*x1*x3, x2^2 ] [ x2^3, x2^2*x1, x1*x3*x1*x3, x2^2 ] [ x1*x3*x1*x3*x1*x3, x2^3, x1*x3*x1*x3, x2^2 ] [ x1*x2*x1*x3*x1*x3*x1*x3, x2^2*x1, x1*x3*x1*x3, x2^2 ] [ x1*x3*x1*x3*x1*x3, x1*x2, x1*x3*x1*x3, x2^2 ] [ x2^2*x3*x1*x3*x1*x3, x2^3, x2^2*x1, x1*x3*x1*x3 ] [ x2^2*x3*x1*x3*x1*x3, x2^3, x2^2*x1, x2^2 ] [ x2^2*x3*x1*x3*x1*x3, x2^3, x2^2*x1, x1*x2^2*x3*x1*x3 ] [ x2^2*x3*x1*x3*x1*x3, x2^3, x2^2*x1, x2^2*x1*x3*x1*x3 ] [ x3^3, x1*x2^3, x2^2, x3^2 ] [ x3^3, x1, x2^2, x3^2 ] [ x3^3, x2^3, x2^2, x3^2 ] [ x1*x2^3, x1, x2^2, x3^2 ] [ x1*x3^3, x1*x2^3, x2^2, x3^2 ] [ x1*x2^3*x3^3, x1, x2^2, x3^2 ] [ x1*x3^3, x2^3, x2^2, x3^2 ] [ x3^3, x1*x2^3, x1, x2^2 ] [ x3^3, x1*x2^3, x1, x3^2 ] [ x3^3, x1*x2^3, x1, x2^2*x1*x3^2*x1 ] [ x3^3, x1*x2^3, x1, x2^2*x3^2 ] [ x3^3, x1*x2^3, x3^2, x2^2 ] [ x3^3, x1, x3^2, x2^2 ] [ x3^3, x2^3, x3^2, x2^2 ] [ x1*x2^3, x1, x3^2, x2^2 ] [ x1*x3^3, x1*x2^3, x3^2, x2^2 ] [ x1*x2^3*x3^3, x1, x3^2, x2^2 ] [ x1*x3^3, x2^3, x3^2, x2^2 ] [ x3^3, x1*x2^3, x1, x3^2 ] [ x3^3, x1*x2^3, x1, x2^2 ] [ x3^3, x1*x2^3, x1, x1*x2^2*x1*x3^2 ] [ x3^3, x1*x2^3, x1, x2^2*x3^2 ] [ x2^2*x3*x1*x3*x1*x3, x2^3, x1*x3*x1*x3, x2^2 ] [ x2^2*x3*x1*x3*x1*x3, x2^2*x1, x1*x3*x1*x3, x2^2 ] [ x2^2*x3*x1*x3*x1*x3, x1*x2, x1*x3*x1*x3, x2^2 ] [ x2^3, x2^2*x1, x1*x3*x1*x3, x2^2 ] [ x1*x3*x1*x3*x1*x3, x2^3, x1*x3*x1*x3, x2^2 ] [ x1*x2*x1*x3*x1*x3*x1*x3, x2^2*x1, x1*x3*x1*x3, x2^2 ] [ x1*x3*x1*x3*x1*x3, x1*x2, x1*x3*x1*x3, x2^2 ] [ x2^2*x3*x1*x3*x1*x3, x2^3, x2^2*x1, x1*x3*x1*x3 ] [ x2^2*x3*x1*x3*x1*x3, x2^3, x2^2*x1, x2^2 ] [ x2^2*x3*x1*x3*x1*x3, x2^3, x2^2*x1, x1*x2^2*x3*x1*x3 ] [ x2^2*x3*x1*x3*x1*x3, x2^3, x2^2*x1, x2^2*x1*x3*x1*x3 ] [ x3^3, x2^3, x3^2, x2^2 ] [ x3^3, x1, x3^2, x2^2 ] [ x3^3, x1*x2^3, x3^2, x2^2 ] [ x2^3, x1, x3^2, x2^2 ] [ x1*x3^3, x2^3, x3^2, x2^2 ] [ x2^3*x3^3, x1, x3^2, x2^2 ] [ x1*x3^3, x1*x2^3, x3^2, x2^2 ] [ x3^3, x2^3, x1, x3^2 ] [ x3^3, x2^3, x1, x2^2 ] [ x3^3, x2^3, x1, x2^4*x3^2 ] [ x3^3, x2^3, x1, x2^2*x3^2 ] [ x3^3, x2^3, x3^4, x2^2 ] [ x3^3, x1, x3^4, x2^2 ] [ x3^3, x1*x2^3, x3^4, x2^2 ] [ x2^3, x1, x3^4, x2^2 ] [ x1*x3^3, x2^3, x3^4, x2^2 ] [ x2^3*x3^3, x1, x3^4, x2^2 ] [ x1*x3^3, x1*x2^3, x3^4, x2^2 ] [ x3^3, x2^3, x1, x3^4 ] [ x3^3, x2^3, x1, x2^2 ] [ x3^3, x2^3, x1, x2^4*x3^4 ] [ x3^3, x2^3, x1, x2^2*x3^4 ] [ x2^3*x3^3, x2^3, x3^2, x2^4 ] [ x2^3*x3^3, x1, x3^2, x2^4 ] [ x2^3*x3^3, x1*x2^3, x3^2, x2^4 ] [ x2^3, x1, x3^2, x2^4 ] [ x1*x2^3*x3^3, x2^3, x3^2, x2^4 ] [ x3^3, x1, x3^2, x2^4 ] [ x1*x2^3*x3^3, x1*x2^3, x3^2, x2^4 ] [ x2^3*x3^3, x2^3, x1, x3^2 ] [ x2^3*x3^3, x2^3, x1, x2^4 ] [ x2^3*x3^3, x2^3, x1, x2^2*x3^2 ] [ x2^3*x3^3, x2^3, x1, x2^4*x3^2 ] [ x3^3, x2^3, x3^2, x2^2 ] [ x3^3, x1, x3^2, x2^2 ] [ x3^3, x1*x2^3, x3^2, x2^2 ] [ x2^3, x1, x3^2, x2^2 ] [ x1*x3^3, x2^3, x3^2, x2^2 ] [ x2^3*x3^3, x1, x3^2, x2^2 ] [ x1*x3^3, x1*x2^3, x3^2, x2^2 ] [ x3^3, x2^3, x1, x3^2 ] [ x3^3, x2^3, x1, x2^2 ] [ x3^3, x2^3, x1, x2^4*x3^2 ] [ x3^3, x2^3, x1, x2^2*x3^2 ] [ x3^3, x2^3, x3^4, x2^2 ] [ x3^3, x1, x3^4, x2^2 ] [ x3^3, x1*x2^3, x3^4, x2^2 ] [ x2^3, x1, x3^4, x2^2 ] [ x1*x3^3, x2^3, x3^4, x2^2 ] [ x2^3*x3^3, x1, x3^4, x2^2 ] [ x1*x3^3, x1*x2^3, x3^4, x2^2 ] [ x3^3, x2^3, x1, x3^4 ] [ x3^3, x2^3, x1, x2^2 ] [ x3^3, x2^3, x1, x2^4*x3^4 ] [ x3^3, x2^3, x1, x2^2*x3^4 ] [ x3^3, x2^3*x3^2, x2^4, x3^2 ] [ x3^3, x1, x2^4, x3^2 ] [ x3^3, x1*x2^3*x3^2, x2^4, x3^2 ] [ x2^3*x3^2, x1, x2^4, x3^2 ] [ x1*x3^3, x2^3*x3^2, x2^4, x3^2 ] [ x2^2*x3*x2, x1, x2^4, x3^2 ] [ x1*x3^3, x1*x2^3*x3^2, x2^4, x3^2 ] [ x3^3, x2^3*x3^2, x1, x3^2 ] [ x3^3, x2^3*x3^2, x1, x2^4 ] [ x3^3, x2^2*x3^2*x2, x2^4, x3^2 ] [ x3^3, x1, x2^4, x3^2 ] [ x3^3, x1*x2^2*x3^2*x2, x2^4, x3^2 ] [ x2^2*x3^2*x2, x1, x2^4, x3^2 ] [ x1*x3^3, x2^2*x3^2*x2, x2^4, x3^2 ] [ x2^3*x3, x1, x2^4, x3^2 ] [ x1*x3^3, x1*x2^2*x3^2*x2, x2^4, x3^2 ] [ x3^3, x2^2*x3^2*x2, x1, x3^2 ] [ x3^3, x2^2*x3^2*x2, x1, x2^4 ] [ x3^3, x2^2*x3^2*x2, x2^4, x3^2 ] [ x3^3, x1, x2^4, x3^2 ] [ x3^3, x1*x2^2*x3^2*x2, x2^4, x3^2 ] [ x2^2*x3^2*x2, x1, x2^4, x3^2 ] [ x1*x3^3, x2^2*x3^2*x2, x2^4, x3^2 ] [ x2^3*x3, x1, x2^4, x3^2 ] [ x1*x3^3, x1*x2^2*x3^2*x2, x2^4, x3^2 ] [ x3^3, x2^2*x3^2*x2, x1, x3^2 ] [ x3^3, x2^2*x3^2*x2, x1, x2^4 ] [ x2^3*x3^3, x2^3, x2^2, x3^2 ] [ x2^3*x3^3, x1, x2^2, x3^2 ] [ x2^3*x3^3, x1*x2^3, x2^2, x3^2 ] [ x2^3, x1, x2^2, x3^2 ] [ x1*x2^3*x3^3, x2^3, x2^2, x3^2 ] [ x3^3, x1, x2^2, x3^2 ] [ x1*x2^3*x3^3, x1*x2^3, x2^2, x3^2 ] [ x2^3*x3^3, x2^3, x1, x3^2 ] [ x2^3*x3^3, x2^3, x1, x2^2 ] [ x3^3, x2, x3^2, x1*x3*x1*x3^5 ] [ x3^3, x1*x3*x1*x3*x1*x3^4, x3^2, x1*x3*x1*x3^5 ] [ x3^3, x1*x2*x3*x1*x3*x1*x3^4, x3^2, x1*x3*x1*x3^5 ] [ x2, x1*x3*x1*x3*x1*x3^4, x3^2, x1*x3*x1*x3^5 ] [ x1*x3*x1*x3*x1*x3, x2, x3^2, x1*x3*x1*x3^5 ] [ x2*x3^3, x1*x3*x1*x3*x1*x3^4, x3^2, x1*x3*x1*x3^5 ] [ x1*x3*x1*x3*x1*x3, x1*x2*x3*x1*x3*x1*x3^4, x3^2, x1*x3*x1*x3^5 ] [ x3^3, x2, x1*x3*x1*x3*x1*x3^4, x1*x3*x1*x3^5 ] [ x3^3, x2, x1*x3*x1*x3*x1*x3^4, x3^2 ] [ x2^3*x3^3, x2^3, x2^2, x3^2 ] [ x2^3*x3^3, x1, x2^2, x3^2 ] [ x2^3*x3^3, x1*x2^3, x2^2, x3^2 ] [ x2^3, x1, x2^2, x3^2 ] [ x1*x2^3*x3^3, x2^3, x2^2, x3^2 ] [ x3^3, x1, x2^2, x3^2 ] [ x1*x2^3*x3^3, x1*x2^3, x2^2, x3^2 ] [ x2^3*x3^3, x2^3, x1, x3^2 ] [ x2^3*x3^3, x2^3, x1, x2^2 ] [ x2^3*x3^3, x2^3, x2^2, x3^2 ] [ x2^3*x3^3, x1, x2^2, x3^2 ] [ x2^3*x3^3, x1*x2^3, x2^2, x3^2 ] [ x2^3, x1, x2^2, x3^2 ] [ x1*x2^3*x3^3, x2^3, x2^2, x3^2 ] [ x3^3, x1, x2^2, x3^2 ] [ x1*x2^3*x3^3, x1*x2^3, x2^2, x3^2 ] [ x2^3*x3^3, x2^3, x1, x3^2 ] [ x2^3*x3^3, x2^3, x1, x2^2 ] [ x3^3, x1*x2^2*x3^2*x2, x2^4, x3^2 ] [ x3^3, x1, x2^4, x3^2 ] [ x3^3, x2^2*x3^2*x2, x2^4, x3^2 ] [ x1*x2^2*x3^2*x2, x1, x2^4, x3^2 ] [ x1*x3^3, x1*x2^2*x3^2*x2, x2^4, x3^2 ] [ x1*x2^3*x3, x1, x2^4, x3^2 ] [ x1*x3^3, x2^2*x3^2*x2, x2^4, x3^2 ] [ x3^3, x1*x2^2*x3^2*x2, x1, x3^2 ] [ x3^3, x1*x2^2*x3^2*x2, x1, x2^4 ] [ x2*x3*x1*x3*x1*x3, x1*x2, x3^4, x1*x3*x1*x3^5 ] [ x2*x3*x1*x3*x1*x3, x1, x3^4, x1*x3*x1*x3^5 ] [ x2*x3*x1*x3*x1*x3, x2, x3^4, x1*x3*x1*x3^5 ] [ x1*x2, x1, x3^4, x1*x3*x1*x3^5 ] [ x1*x2*x3*x1*x3*x1*x3, x1*x2, x3^4, x1*x3*x1*x3^5 ] [ x1*x3*x1*x3*x1*x3, x1, x3^4, x1*x3*x1*x3^5 ] [ x1*x2*x3*x1*x3*x1*x3, x2, x3^4, x1*x3*x1*x3^5 ] [ x2*x3*x1*x3*x1*x3, x1*x2, x1, x1*x3*x1*x3^5 ] [ x2*x3*x1*x3*x1*x3, x1*x2, x1, x3^4 ] [ x1*x3*x1*x3^2, x2, x3^2, x1*x3*x1*x3^5 ] [ x1*x3*x1*x3^2, x3*x1*x3^5, x3^2, x1*x3*x1*x3^5 ] [ x1*x3*x1*x3^2, x2*x3*x1*x3^5, x3^2, x1*x3*x1*x3^5 ] [ x2, x3*x1*x3^5, x3^2, x1*x3*x1*x3^5 ] [ x1*x3*x1*x3*x1*x3, x2, x3^2, x1*x3*x1*x3^5 ] [ x1*x2*x3*x1*x3^2, x3*x1*x3^5, x3^2, x1*x3*x1*x3^5 ] [ x1*x3*x1*x3*x1*x3, x2*x3*x1*x3^5, x3^2, x1*x3*x1*x3^5 ] [ x1*x3*x1*x3^2, x2, x3*x1*x3^5, x1*x3*x1*x3^5 ] [ x1*x3*x1*x3^2, x2, x3*x1*x3^5, x3^2 ] [ x3^3, x1*x2^3*x3^2, x2^4, x3^2 ] [ x3^3, x1, x2^4, x3^2 ] [ x3^3, x2^3*x3^2, x2^4, x3^2 ] [ x1*x2^3*x3^2, x1, x2^4, x3^2 ] [ x1*x3^3, x1*x2^3*x3^2, x2^4, x3^2 ] [ x1*x2^2*x3*x2, x1, x2^4, x3^2 ] [ x1*x3^3, x2^3*x3^2, x2^4, x3^2 ] [ x3^3, x1*x2^3*x3^2, x1, x3^2 ] [ x3^3, x1*x2^3*x3^2, x1, x2^4 ] [ x3^3, x1*x2^2*x3^2*x2, x2^4, x3^2 ] [ x3^3, x1, x2^4, x3^2 ] [ x3^3, x2^2*x3^2*x2, x2^4, x3^2 ] [ x1*x2^2*x3^2*x2, x1, x2^4, x3^2 ] [ x1*x3^3, x1*x2^2*x3^2*x2, x2^4, x3^2 ] [ x1*x2^3*x3, x1, x2^4, x3^2 ] [ x1*x3^3, x2^2*x3^2*x2, x2^4, x3^2 ] [ x3^3, x1*x2^2*x3^2*x2, x1, x3^2 ] [ x3^3, x1*x2^2*x3^2*x2, x1, x2^4 ] [ x3^3, x1*x2^2*x3^2*x2, x2^4, x3^2 ] [ x3^3, x1, x2^4, x3^2 ] [ x3^3, x2^2*x3^2*x2, x2^4, x3^2 ] [ x1*x2^2*x3^2*x2, x1, x2^4, x3^2 ] [ x1*x3^3, x1*x2^2*x3^2*x2, x2^4, x3^2 ] [ x1*x2^3*x3, x1, x2^4, x3^2 ] [ x1*x3^3, x2^2*x3^2*x2, x2^4, x3^2 ] [ x3^3, x1*x2^2*x3^2*x2, x1, x3^2 ] [ x3^3, x1*x2^2*x3^2*x2, x1, x2^4 ] [ x2^3*x3^3, x2^3, x2^2, x3^2 ] [ x2^3*x3^3, x1, x2^2, x3^2 ] [ x2^3*x3^3, x1*x2^3, x2^2, x3^2 ] [ x2^3, x1, x2^2, x3^2 ] [ x1*x2^3*x3^3, x2^3, x2^2, x3^2 ] [ x3^3, x1, x2^2, x3^2 ] [ x1*x2^3*x3^3, x1*x2^3, x2^2, x3^2 ] [ x2^3*x3^3, x2^3, x1, x3^2 ] [ x2^3*x3^3, x2^3, x1, x2^2 ] [ x3^3, x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x3^3, x3*x1*x3^5, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x3^3, x2*x3*x1*x3^5, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x2, x3*x1*x3^5, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x3*x1*x3^2, x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x2*x3^3, x3*x1*x3^5, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x3*x1*x3^2, x2*x3*x1*x3^5, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x3^3, x2, x3*x1*x3^5, x1*x3^2*x1*x3^4 ] [ x3^3, x2, x3*x1*x3^5, x1*x3^2*x1*x3^2 ] [ x3^3, x1*x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x3^3, x1, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x3^3, x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x1*x2, x1, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x1*x3^3, x1*x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x1*x2*x3^3, x1, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x1*x3^3, x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x3^3, x1*x2, x1, x1*x3^2*x1*x3^4 ] [ x3^3, x1*x2, x1, x1*x3^2*x1*x3^2 ] [ x3^3, x1*x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x3^3, x1, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x3^3, x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x1*x2, x1, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x1*x3^3, x1*x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x1*x2*x3^3, x1, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x1*x3^3, x2, x1*x3^2*x1*x3^2, x1*x3^2*x1*x3^4 ] [ x3^3, x1*x2, x1, x1*x3^2*x1*x3^4 ] [ x3^3, x1*x2, x1, x1*x3^2*x1*x3^2 ] [ x3^3, x1, x2^4, x3^2 ] [ x3^3, x1*x2^3*x3^2, x2^4, x3^2 ] [ x3^3, x2^3*x3^2, x2^4, x3^2 ] [ x1, x1*x2^3*x3^2, x2^4, x3^2 ] [ x1*x2^4*x3*x2, x1, x2^4, x3^2 ] [ x1*x3^3, x1*x2^3*x3^2, x2^4, x3^2 ] [ x1*x2^4*x3*x2, x2^3*x3^2, x2^4, x3^2 ] [ x3^3, x1, x1*x2^3*x3^2, x2^4 ] [ x3^3, x1, x1*x2^3*x3^2, x3^2 ] [ x3^3, x1*x2*x1*x2*x1*x2*x3^2, x3^2, x1*x2*x1*x2 ] [ x3^3, x1, x3^2, x1*x2*x1*x2 ] [ x3^3, x2*x1*x2*x1*x2*x3^2, x3^2, x1*x2*x1*x2 ] [ x1*x2*x1*x2*x1*x2*x3^2, x1, x3^2, x1*x2*x1*x2 ] [ x1*x3^3, x1*x2*x1*x2*x1*x2*x3^2, x3^2, x1*x2*x1*x2 ] [ x2*x1*x2*x3*x2, x1, x3^2, x1*x2*x1*x2 ] [ x1*x3^3, x2*x1*x2*x1*x2*x3^2, x3^2, x1*x2*x1*x2 ] [ x3^3, x1*x2*x1*x2*x1*x2*x3^2, x1, x3^2 ] [ x3^3, x1*x2*x1*x2*x1*x2*x3^2, x1, x1*x2*x1*x2 ] [ x3^3, x1, x2^2, x3^2 ] [ x3^3, x1*x2^2*x3^2*x2, x2^2, x3^2 ] [ x3^3, x2^2*x3^2*x2, x2^2, x3^2 ] [ x1, x1*x2^2*x3^2*x2, x2^2, x3^2 ] [ x1*x2^3*x3, x1, x2^2, x3^2 ] [ x1*x3^3, x1*x2^2*x3^2*x2, x2^2, x3^2 ] [ x1*x2^3*x3, x2^2*x3^2*x2, x2^2, x3^2 ] [ x3^3, x1, x1*x2^2*x3^2*x2, x2^2 ] [ x3^3, x1, x1*x2^2*x3^2*x2, x3^2 ] [ x1*x3*x1*x3*x1*x3^3, x1*x2, x1*x3^2*x1, x1*x3*x1*x3^3 ] [ x1*x3*x1*x3*x1*x3^3, x1, x1*x3^2*x1, x1*x3*x1*x3^3 ] [ x1*x3*x1*x3*x1*x3^3, x2, x1*x3^2*x1, x1*x3*x1*x3^3 ] [ x1*x2, x1, x1*x3^2*x1, x1*x3*x1*x3^3 ] [ x3*x1*x3*x1*x3^3, x1*x2, x1*x3^2*x1, x1*x3*x1*x3^3 ] [ x2*x3*x1*x3*x1*x3^3, x1, x1*x3^2*x1, x1*x3*x1*x3^3 ] [ x3*x1*x3*x1*x3^3, x2, x1*x3^2*x1, x1*x3*x1*x3^3 ] [ x1*x3*x1*x3*x1*x3^3, x1*x2, x1, x1*x3*x1*x3 ] [ x1*x3*x1*x3*x1*x3^3, x1*x2, x1, x1*x3^2*x1 ] [ x3*x1, x2, x2*x1*x2*x3^2*x1, x3^2 ] [ x3*x1, x1*x3^2, x2*x1*x2*x3^2*x1, x3^2 ] [ x3*x1, x2*x1*x3^2, x2*x1*x2*x3^2*x1, x3^2 ] [ x2, x1*x3^2, x2*x1*x2*x3^2*x1, x3^2 ] [ x3^3, x2, x2*x1*x2*x3^2*x1, x3^2 ] [ x2*x3*x1, x1*x3^2, x2*x1*x2*x3^2*x1, x3^2 ] [ x3^3, x2*x1*x3^2, x2*x1*x2*x3^2*x1, x3^2 ] [ x3*x1, x2, x1*x3^2, x2*x1*x2*x3^2*x1 ] [ x3*x1, x2, x1*x3^2, x2*x1*x2*x1 ] [ x1*x3*x1*x3*x1*x3^3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x1*x3*x1*x3*x1*x3^3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x1*x3*x1*x3*x1*x3^3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x3*x1*x3*x1*x3^3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x1*x2*x3*x1*x3*x1*x3^3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x3*x1*x3*x1*x3^3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x1*x3*x1*x3*x1*x3^3, x2, x1, x1*x3*x1*x3 ] [ x1*x3*x1*x3*x1*x3^3, x2, x1, x1*x3^2*x1 ] [ x2^4*x3^3, x1, x2^4, x3^2 ] [ x2^4*x3^3, x1*x2^3*x3^2, x2^4, x3^2 ] [ x2^4*x3^3, x2^3*x3^2, x2^4, x3^2 ] [ x1, x1*x2^3*x3^2, x2^4, x3^2 ] [ x1*x2^2*x3*x2, x1, x2^4, x3^2 ] [ x1*x2^4*x3^3, x1*x2^3*x3^2, x2^4, x3^2 ] [ x1*x2^2*x3*x2, x2^3*x3^2, x2^4, x3^2 ] [ x2^4*x3^3, x1, x1*x2^3*x3^2, x2^4 ] [ x2^4*x3^3, x1, x1*x2^3*x3^2, x3^2 ] [ x1*x3^3, x2^3*x3^2, x3^2, x2^2 ] [ x1*x3^3, x1, x3^2, x2^2 ] [ x1*x3^3, x1*x2^3*x3^2, x3^2, x2^2 ] [ x2^3*x3^2, x1, x3^2, x2^2 ] [ x3^3, x2^3*x3^2, x3^2, x2^2 ] [ x1*x2^2*x3*x2, x1, x3^2, x2^2 ] [ x3^3, x1*x2^3*x3^2, x3^2, x2^2 ] [ x1*x3^3, x2^3*x3^2, x1, x3^2 ] [ x1*x3^3, x2^3*x3^2, x1, x2^2 ] [ x1*x3^3, x2, x1*x3*x1*x3, x2*x3*x2*x3 ] [ x1*x3^3, x1, x1*x3*x1*x3, x2*x3*x2*x3 ] [ x1*x3^3, x1*x2, x1*x3*x1*x3, x2*x3*x2*x3 ] [ x2, x1, x1*x3*x1*x3, x2*x3*x2*x3 ] [ x3^3, x2, x1*x3*x1*x3, x2*x3*x2*x3 ] [ x1*x2*x3^3, x1, x1*x3*x1*x3, x2*x3*x2*x3 ] [ x3^3, x1*x2, x1*x3*x1*x3, x2*x3*x2*x3 ] [ x1*x3^3, x2, x1, x2*x3*x2*x3 ] [ x1*x3^3, x2, x1, x1*x3*x1*x3 ] [ x3^3, x1*x2*x1, x2*x1*x2*x1*x3^2, x1*x2*x1*x2 ] [ x3^3, x2*x1*x2, x2*x1*x2*x1*x3^2, x1*x2*x1*x2 ] [ x3^3, x1*x2*x1*x2*x1*x2, x2*x1*x2*x1*x3^2, x1*x2*x1*x2 ] [ x1*x2*x1, x2*x1*x2, x2*x1*x2*x1*x3^2, x1*x2*x1*x2 ] [ x2*x1*x2*x3^3, x1*x2*x1, x2*x1*x2*x1*x3^2, x1*x2*x1*x2 ] [ x1*x2*x1*x3^3, x2*x1*x2, x2*x1*x2*x1*x3^2, x1*x2*x1*x2 ] [ x2*x1*x2*x3^3, x1*x2*x1*x2*x1*x2, x2*x1*x2*x1*x3^2, x1*x2*x1*x2 ] [ x3^3, x1*x2*x1, x2*x1*x2, x1*x2*x1*x2 ] [ x3^3, x1*x2*x1, x2*x1*x2, x2*x1*x2*x1*x3^2 ] [ x1*x2^4*x3^3, x1, x2^2, x3^2 ] [ x1*x2^4*x3^3, x2^3, x2^2, x3^2 ] [ x1*x2^4*x3^3, x1*x2^3, x2^2, x3^2 ] [ x1, x2^3, x2^2, x3^2 ] [ x1*x2*x3^3, x1, x2^2, x3^2 ] [ x2^4*x3^3, x2^3, x2^2, x3^2 ] [ x1*x2*x3^3, x1*x2^3, x2^2, x3^2 ] [ x1*x2^4*x3^3, x1, x2^3, x2^2 ] [ x1*x2^4*x3^3, x1, x2^3, x3^2 ] [ x1*x2^4*x3^3, x1, x2^2, x3^2 ] [ x1*x2^4*x3^3, x2^3*x3^2, x2^2, x3^2 ] [ x1*x2^4*x3^3, x1*x2^3*x3^2, x2^2, x3^2 ] [ x1, x2^3*x3^2, x2^2, x3^2 ] [ x1*x2^2*x3*x2, x1, x2^2, x3^2 ] [ x2^4*x3^3, x2^3*x3^2, x2^2, x3^2 ] [ x1*x2^2*x3*x2, x1*x2^3*x3^2, x2^2, x3^2 ] [ x1*x2^4*x3^3, x1, x2^3*x3^2, x2^2 ] [ x1*x2^4*x3^3, x1, x2^3*x3^2, x3^2 ] [ x3^3, x2, x2*x1*x2*x1*x3^2, x1*x2*x1*x2 ] [ x3^3, x1*x2*x1*x2*x1, x2*x1*x2*x1*x3^2, x1*x2*x1*x2 ] [ x3^3, x1*x2*x1*x2*x1*x2, x2*x1*x2*x1*x3^2, x1*x2*x1*x2 ] [ x2, x1*x2*x1*x2*x1, x2*x1*x2*x1*x3^2, x1*x2*x1*x2 ] [ x1*x2*x1*x2*x1*x3^3, x2, x2*x1*x2*x1*x3^2, x1*x2*x1*x2 ] [ x2*x3^3, x1*x2*x1*x2*x1, x2*x1*x2*x1*x3^2, x1*x2*x1*x2 ] [ x1*x2*x1*x2*x1*x3^3, x1*x2*x1*x2*x1*x2, x2*x1*x2*x1*x3^2, x1*x2*x1*x2 ] [ x3^3, x2, x1*x2*x1*x2*x1, x2*x1*x2*x1*x3^2 ] [ x3^3, x2, x1*x2*x1*x2*x1, x1*x2*x1*x2 ] [ x1*x2*x3^3, x1, x2^4, x3^2 ] [ x1*x2*x3^3, x2^3, x2^4, x3^2 ] [ x1*x2*x3^3, x1*x2^3, x2^4, x3^2 ] [ x1, x2^3, x2^4, x3^2 ] [ x1*x2^4*x3^3, x1, x2^4, x3^2 ] [ x2*x3^3, x2^3, x2^4, x3^2 ] [ x1*x2^4*x3^3, x1*x2^3, x2^4, x3^2 ] [ x1*x2*x3^3, x1, x2^3, x3^2 ] [ x1*x2*x3^3, x1, x2^3, x2^4 ] [ x3*x2*x3*x2*x3^3, x2, x2*x3^2*x2, x2*x3*x2*x3^3 ] [ x3*x2*x3*x2*x3^3, x1, x2*x3^2*x2, x2*x3*x2*x3^3 ] [ x3*x2*x3*x2*x3^3, x1*x2, x2*x3^2*x2, x2*x3*x2*x3^3 ] [ x2, x1, x2*x3^2*x2, x2*x3*x2*x3^3 ] [ x1*x3*x2*x3*x2*x3^3, x2, x2*x3^2*x2, x2*x3*x2*x3^3 ] [ x2*x3*x2*x3*x2*x3^3, x1, x2*x3^2*x2, x2*x3*x2*x3^3 ] [ x1*x3*x2*x3*x2*x3^3, x1*x2, x2*x3^2*x2, x2*x3*x2*x3^3 ] [ x3*x2*x3*x2*x3^3, x2, x1, x2*x3^2*x2 ] [ x3*x2*x3*x2*x3^3, x2, x1, x2*x3*x2*x3 ] [ x3^3, x1*x2^3*x3^2, x3^2, x2^2 ] [ x3^3, x1, x3^2, x2^2 ] [ x3^3, x2^3*x3^2, x3^2, x2^2 ] [ x1*x2^3*x3^2, x1, x3^2, x2^2 ] [ x1*x3^3, x1*x2^3*x3^2, x3^2, x2^2 ] [ x1*x2^2*x3*x2, x1, x3^2, x2^2 ] [ x1*x3^3, x2^3*x3^2, x3^2, x2^2 ] [ x3^3, x1*x2^3*x3^2, x1, x3^2 ] [ x3^3, x1*x2^3*x3^2, x1, x2^2 ] [ x2^3*x3^3, x2^3, x2^2*x3^2, x1*x2^2*x1 ] [ x2^3*x3^3, x1, x2^2*x3^2, x1*x2^2*x1 ] [ x2^3*x3^3, x1*x2^3, x2^2*x3^2, x1*x2^2*x1 ] [ x2^3, x1, x2^2*x3^2, x1*x2^2*x1 ] [ x1*x2^3*x3^3, x2^3, x2^2*x3^2, x1*x2^2*x1 ] [ x3^3, x1, x2^2*x3^2, x1*x2^2*x1 ] [ x1*x2^3*x3^3, x1*x2^3, x2^2*x3^2, x1*x2^2*x1 ] [ x2^3*x3^3, x2^3, x1, x2^2*x3^2 ] [ x2^3*x3^3, x2^3, x1, x1*x2^2*x1 ] [ x3^3, x2, x1*x3*x1*x3, x2*x3*x2*x3 ] [ x3^3, x1*x2*x3*x2*x3, x1*x3*x1*x3, x2*x3*x2*x3 ] [ x3^3, x1*x3*x2*x3, x1*x3*x1*x3, x2*x3*x2*x3 ] [ x2, x1*x2*x3*x2*x3, x1*x3*x1*x3, x2*x3*x2*x3 ] [ x3^2*x1*x3, x2, x1*x3*x1*x3, x2*x3*x2*x3 ] [ x2*x3^3, x1*x2*x3*x2*x3, x1*x3*x1*x3, x2*x3*x2*x3 ] [ x3^2*x1*x3, x1*x3*x2*x3, x1*x3*x1*x3, x2*x3*x2*x3 ] [ x3^3, x2, x1*x2*x3*x2*x3, x1*x3*x1*x3 ] [ x3^3, x2, x1*x2*x3*x2*x3, x2*x3*x2*x3 ] [ x3^3, x1, x2^4, x3^2 ] [ x3^3, x1*x2^3*x3^2, x2^4, x3^2 ] [ x3^3, x2^3*x3^2, x2^4, x3^2 ] [ x1, x1*x2^3*x3^2, x2^4, x3^2 ] [ x1*x2^4*x3*x2, x1, x2^4, x3^2 ] [ x1*x3^3, x1*x2^3*x3^2, x2^4, x3^2 ] [ x1*x2^4*x3*x2, x2^3*x3^2, x2^4, x3^2 ] [ x3^3, x1, x1*x2^3*x3^2, x2^4 ] [ x3^3, x1, x1*x2^3*x3^2, x3^2 ] [ x1*x2^3*x3^3, x2^3, x3^2, x2^2 ] [ x1*x2^3*x3^3, x1, x3^2, x2^2 ] [ x1*x2^3*x3^3, x1*x2^3, x3^2, x2^2 ] [ x2^3, x1, x3^2, x2^2 ] [ x2^3*x3^3, x2^3, x3^2, x2^2 ] [ x1*x3^3, x1, x3^2, x2^2 ] [ x2^3*x3^3, x1*x2^3, x3^2, x2^2 ] [ x1*x2^3*x3^3, x2^3, x1, x2^2 ] [ x1*x2^3*x3^3, x2^3, x1, x3^2 ] [ x1*x3^3, x2^3, x2^2*x3^2, x3^2 ] [ x1*x3^3, x1, x2^2*x3^2, x3^2 ] [ x1*x3^3, x1*x2^3, x2^2*x3^2, x3^2 ] [ x2^3, x1, x2^2*x3^2, x3^2 ] [ x3^3, x2^3, x2^2*x3^2, x3^2 ] [ x1*x2^3*x3^3, x1, x2^2*x3^2, x3^2 ] [ x3^3, x1*x2^3, x2^2*x3^2, x3^2 ] [ x1*x3^3, x2^3, x1, x2^2*x3^2 ] [ x1*x3^3, x2^3, x1, x3^2 ] [ x1*x3^3, x2^3, x1, x2^2 ] [ x1*x3^3, x2^3, x1, x2^2*x1*x3^2*x1 ] [ x1*x2^3*x3^3, x2^3, x1*x2^2*x1*x3^2, x2^2 ] [ x1*x2^3*x3^3, x1, x1*x2^2*x1*x3^2, x2^2 ] [ x1*x2^3*x3^3, x1*x2^3, x1*x2^2*x1*x3^2, x2^2 ] [ x2^3, x1, x1*x2^2*x1*x3^2, x2^2 ] [ x2^3*x3^3, x2^3, x1*x2^2*x1*x3^2, x2^2 ] [ x1*x3^3, x1, x1*x2^2*x1*x3^2, x2^2 ] [ x2^3*x3^3, x1*x2^3, x1*x2^2*x1*x3^2, x2^2 ] [ x1*x2^3*x3^3, x2^3, x1, x1*x2^2*x1*x3^2 ] [ x1*x2^3*x3^3, x2^3, x1, x2^2 ] [ x1*x2^3*x3^3, x2^3, x1, x2^2*x3^2 ] [ x1*x2^3*x3^3, x2^3, x1, x3^2 ] [ x1*x2^3*x3^3, x1*x2^3, x1*x2^2*x1*x3^2, x2^2 ] [ x1*x2^3*x3^3, x1, x1*x2^2*x1*x3^2, x2^2 ] [ x1*x2^3*x3^3, x2^3, x1*x2^2*x1*x3^2, x2^2 ] [ x1*x2^3, x1, x1*x2^2*x1*x3^2, x2^2 ] [ x2^3*x3^3, x1*x2^3, x1*x2^2*x1*x3^2, x2^2 ] [ x3^3, x1, x1*x2^2*x1*x3^2, x2^2 ] [ x2^3*x3^3, x2^3, x1*x2^2*x1*x3^2, x2^2 ] [ x1*x2^3*x3^3, x1*x2^3, x1, x1*x2^2*x1*x3^2 ] [ x1*x2^3*x3^3, x1*x2^3, x1, x2^2 ] [ x1*x2^3*x3^3, x1*x2^3, x1, x2^2*x3^2 ] [ x1*x2^3*x3^3, x1*x2^3, x1, x3^2 ] [ x1*x2^3*x3^3, x1*x2^3, x2^2*x3^2, x2^2 ] [ x1*x2^3*x3^3, x1, x2^2*x3^2, x2^2 ] [ x1*x2^3*x3^3, x2^3, x2^2*x3^2, x2^2 ] [ x1*x2^3, x1, x2^2*x3^2, x2^2 ] [ x2^3*x3^3, x1*x2^3, x2^2*x3^2, x2^2 ] [ x3^3, x1, x2^2*x3^2, x2^2 ] [ x2^3*x3^3, x2^3, x2^2*x3^2, x2^2 ] [ x1*x2^3*x3^3, x1*x2^3, x1, x2^2*x3^2 ] [ x1*x2^3*x3^3, x1*x2^3, x1, x2^2 ] [ x1*x2^3*x3^3, x1*x2^3, x1, x3^2 ] [ x1*x2^3*x3^3, x1*x2^3, x1, x1*x2^2*x1*x3^2 ] [ x3^3, x1*x2^3, x1*x2^2*x1*x3^2, x2^2 ] [ x3^3, x1, x1*x2^2*x1*x3^2, x2^2 ] [ x3^3, x2^3, x1*x2^2*x1*x3^2, x2^2 ] [ x1*x2^3, x1, x1*x2^2*x1*x3^2, x2^2 ] [ x1*x3^3, x1*x2^3, x1*x2^2*x1*x3^2, x2^2 ] [ x1*x2^3*x3^3, x1, x1*x2^2*x1*x3^2, x2^2 ] [ x1*x3^3, x2^3, x1*x2^2*x1*x3^2, x2^2 ] [ x3^3, x1*x2^3, x1, x1*x2^2*x1*x3^2 ] [ x3^3, x1*x2^3, x1, x2^2 ] [ x3^3, x1*x2^3, x1, x2^2*x3^2 ] [ x3^3, x1*x2^3, x1, x3^2 ] [ x1*x2^3*x3^3, x2^3, x2^2*x3^2, x2^2 ] [ x1*x2^3*x3^3, x1, x2^2*x3^2, x2^2 ] [ x1*x2^3*x3^3, x1*x2^3, x2^2*x3^2, x2^2 ] [ x2^3, x1, x2^2*x3^2, x2^2 ] [ x2^3*x3^3, x2^3, x2^2*x3^2, x2^2 ] [ x1*x3^3, x1, x2^2*x3^2, x2^2 ] [ x2^3*x3^3, x1*x2^3, x2^2*x3^2, x2^2 ] [ x1*x2^3*x3^3, x2^3, x1, x2^2*x3^2 ] [ x1*x2^3*x3^3, x2^3, x1, x2^2 ] [ x1*x2^3*x3^3, x2^3, x1, x3^2 ] [ x1*x2^3*x3^3, x2^3, x1, x1*x2^2*x1*x3^2 ] [ x1*x3*x1*x3*x1*x3^3, x2, x1*x3^2*x1, x1*x3*x1*x3^3 ] [ x1*x3*x1*x3*x1*x3^3, x1, x1*x3^2*x1, x1*x3*x1*x3^3 ] [ x1*x3*x1*x3*x1*x3^3, x1*x2, x1*x3^2*x1, x1*x3*x1*x3^3 ] [ x2, x1, x1*x3^2*x1, x1*x3*x1*x3^3 ] [ x3*x1*x3*x1*x3^3, x2, x1*x3^2*x1, x1*x3*x1*x3^3 ] [ x1*x2*x3*x1*x3*x1*x3^3, x1, x1*x3^2*x1, x1*x3*x1*x3^3 ] [ x3*x1*x3*x1*x3^3, x1*x2, x1*x3^2*x1, x1*x3*x1*x3^3 ] [ x1*x3*x1*x3*x1*x3^3, x2, x1, x1*x3^2*x1 ] [ x1*x3*x1*x3*x1*x3^3, x2, x1, x1*x3*x1*x3 ] [ x1*x3*x1*x3*x1*x3^3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x1*x3*x1*x3*x1*x3^3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x1*x3*x1*x3*x1*x3^3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x3*x1*x3*x1*x3^3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x1*x2*x3*x1*x3*x1*x3^3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x3*x1*x3*x1*x3^3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x1*x3*x1*x3*x1*x3^3, x2, x1, x1*x3*x1*x3 ] [ x1*x3*x1*x3*x1*x3^3, x2, x1, x1*x3^2*x1 ] [ x1*x3*x1*x3*x1*x3^3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x1*x3*x1*x3*x1*x3^3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x1*x3*x1*x3*x1*x3^3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x3*x1*x3*x1*x3^3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x1*x2*x3*x1*x3*x1*x3^3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x3*x1*x3*x1*x3^3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x1*x3*x1*x3*x1*x3^3, x2, x1, x1*x3^2*x1 ] [ x1*x3*x1*x3*x1*x3^3, x2, x1, x1*x3*x1*x3 ] [ x1*x3*x1*x3*x1*x3^3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x1*x3*x1*x3*x1*x3^3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x1*x3*x1*x3*x1*x3^3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x3*x1*x3*x1*x3^3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x1*x2*x3*x1*x3*x1*x3^3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x3*x1*x3*x1*x3^3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x1*x3*x1*x3*x1*x3^3, x2, x1, x1*x3*x1*x3 ] [ x1*x3*x1*x3*x1*x3^3, x2, x1, x1*x3^2*x1 ] [ x1*x3*x1*x3*x1*x3^3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x1*x3*x1*x3*x1*x3^3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x1*x3*x1*x3*x1*x3^3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x3*x1*x3*x1*x3^3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x1*x2*x3*x1*x3*x1*x3^3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x3*x1*x3*x1*x3^3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x1*x3*x1*x3*x1*x3^3, x2, x1, x1*x3*x1*x3 ] [ x1*x3*x1*x3*x1*x3^3, x2, x1, x1*x3^2*x1 ] [ x1*x3*x1*x3*x1*x3^3, x2, x1*x3^2*x1, x1*x3*x1*x3^3 ] [ x1*x3*x1*x3*x1*x3^3, x1, x1*x3^2*x1, x1*x3*x1*x3^3 ] [ x1*x3*x1*x3*x1*x3^3, x1*x2, x1*x3^2*x1, x1*x3*x1*x3^3 ] [ x2, x1, x1*x3^2*x1, x1*x3*x1*x3^3 ] [ x3*x1*x3*x1*x3^3, x2, x1*x3^2*x1, x1*x3*x1*x3^3 ] [ x1*x2*x3*x1*x3*x1*x3^3, x1, x1*x3^2*x1, x1*x3*x1*x3^3 ] [ x3*x1*x3*x1*x3^3, x1*x2, x1*x3^2*x1, x1*x3*x1*x3^3 ] [ x1*x3*x1*x3*x1*x3^3, x2, x1, x1*x3^2*x1 ] [ x1*x3*x1*x3*x1*x3^3, x2, x1, x1*x3*x1*x3 ] [ x3^3, x3*x1*x3*x2, x1*x3*x1*x3, x1*x2*x3*x1*x2*x3 ] [ x3^3, x2*x3*x1*x2*x3, x1*x3*x1*x3, x1*x2*x3*x1*x2*x3 ] [ x3^3, x1*x3^2*x1*x2, x1*x3*x1*x3, x1*x2*x3*x1*x2*x3 ] [ x3*x1*x3*x2, x2*x3*x1*x2*x3, x1*x3*x1*x3, x1*x2*x3*x1*x2*x3 ] [ x3^2*x1*x3, x3*x1*x3*x2, x1*x3*x1*x3, x1*x2*x3*x1*x2*x3 ] [ x3*x1*x2*x3^2, x2*x3*x1*x2*x3, x1*x3*x1*x3, x1*x2*x3*x1*x2*x3 ] [ x3^2*x1*x3, x1*x3^2*x1*x2, x1*x3*x1*x3, x1*x2*x3*x1*x2*x3 ] [ x3^3, x3*x1*x3*x2, x2*x3*x1*x2*x3, x1*x2*x3*x1*x2*x3 ] [ x3^3, x3*x1*x3*x2, x2*x3*x1*x2*x3, x1*x3*x1*x3 ] [ x3, x1, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ] [ x3, x2^3, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ] [ x3, x1*x2^3, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ] [ x1, x2^3, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ] [ x2^3*x3, x1, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ] [ x1*x3, x2^3, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ] [ x2^3*x3, x1*x2^3, x1*x2*x1*x2, x1*x2^2*x1*x2^4 ] [ x3, x1, x2^3, x1*x2*x1*x2 ] [ x3, x1, x2^3, x1*x2^2*x1*x2^4 ] [ x3*x1*x3*x1*x3^3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x3*x1*x3*x1*x3^3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x3*x1*x3*x1*x3^3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x1*x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x1*x3*x1*x3*x1*x3^3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x1*x2*x3*x1*x3*x1*x3^3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x1*x3*x1*x3*x1*x3^3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x3*x1*x3*x1*x3^3, x1*x2, x1, x1*x3^2*x1 ] [ x3*x1*x3*x1*x3^3, x1*x2, x1, x1*x3*x1*x3 ] [ x1*x3^3, x1*x2*x1*x2*x1*x3^2*x2, x3^2, x1*x2*x1*x2 ] [ x1*x3^3, x1, x3^2, x1*x2*x1*x2 ] [ x1*x3^3, x2*x1*x2*x1*x3^2*x2, x3^2, x1*x2*x1*x2 ] [ x1*x2*x1*x2*x1*x3^2*x2, x1, x3^2, x1*x2*x1*x2 ] [ x3^3, x1*x2*x1*x2*x1*x3^2*x2, x3^2, x1*x2*x1*x2 ] [ x2*x1*x2*x1*x2*x3, x1, x3^2, x1*x2*x1*x2 ] [ x3^3, x2*x1*x2*x1*x3^2*x2, x3^2, x1*x2*x1*x2 ] [ x1*x3^3, x1*x2*x1*x2*x1*x3^2*x2, x1, x3^2 ] [ x1*x3^3, x1*x2*x1*x2*x1*x3^2*x2, x1, x1*x2*x1*x2 ] [ x2*x3*x2*x3*x2*x3^3, x2, x2*x3*x2*x3, x2*x3*x2*x3^3 ] [ x2*x3*x2*x3*x2*x3^3, x1, x2*x3*x2*x3, x2*x3*x2*x3^3 ] [ x2*x3*x2*x3*x2*x3^3, x1*x2, x2*x3*x2*x3, x2*x3*x2*x3^3 ] [ x2, x1, x2*x3*x2*x3, x2*x3*x2*x3^3 ] [ x1*x2*x3*x2*x3*x2*x3^3, x2, x2*x3*x2*x3, x2*x3*x2*x3^3 ] [ x3*x2*x3*x2*x3^3, x1, x2*x3*x2*x3, x2*x3*x2*x3^3 ] [ x1*x2*x3*x2*x3*x2*x3^3, x1*x2, x2*x3*x2*x3, x2*x3*x2*x3^3 ] [ x2*x3*x2*x3*x2*x3^3, x2, x1, x2*x3*x2*x3 ] [ x2*x3*x2*x3*x2*x3^3, x2, x1, x2*x3^2*x2 ] [ x3*x1*x3*x1*x3^3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x3*x1*x3*x1*x3^3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x3*x1*x3*x1*x3^3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x1*x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x1*x3*x1*x3*x1*x3^3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x1*x2*x3*x1*x3*x1*x3^3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x1*x3*x1*x3*x1*x3^3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x3*x1*x3*x1*x3^3, x1*x2, x1, x1*x3^2*x1 ] [ x3*x1*x3*x1*x3^3, x1*x2, x1, x1*x3*x1*x3 ] [ x2^2*x3, x1*x2*x1*x2*x1*x2, x1*x2^2*x1, x1*x2*x1*x2^3 ] [ x2^2*x3, x2^2*x1, x1*x2^2*x1, x1*x2*x1*x2^3 ] [ x2^2*x3, x2*x1*x2*x1*x2^3, x1*x2^2*x1, x1*x2*x1*x2^3 ] [ x1*x2*x1*x2*x1*x2, x2^2*x1, x1*x2^2*x1, x1*x2*x1*x2^3 ] [ x1*x3, x1*x2*x1*x2*x1*x2, x1*x2^2*x1, x1*x2*x1*x2^3 ] [ x1*x2*x1*x2*x1*x2^3*x3, x2^2*x1, x1*x2^2*x1, x1*x2*x1*x2^3 ] [ x1*x3, x2*x1*x2*x1*x2^3, x1*x2^2*x1, x1*x2*x1*x2^3 ] [ x2^2*x3, x1*x2*x1*x2*x1*x2, x2^2*x1, x1*x2^2*x1 ] [ x2^2*x3, x1*x2*x1*x2*x1*x2, x2^2*x1, x1*x2*x1*x2 ] [ x1*x2*x3*x2*x3*x2*x3^3, x2, x2*x3^2*x2, x2*x3*x2*x3^3 ] [ x1*x2*x3*x2*x3*x2*x3^3, x1, x2*x3^2*x2, x2*x3*x2*x3^3 ] [ x1*x2*x3*x2*x3*x2*x3^3, x1*x2, x2*x3^2*x2, x2*x3*x2*x3^3 ] [ x2, x1, x2*x3^2*x2, x2*x3*x2*x3^3 ] [ x2*x3*x2*x3*x2*x3^3, x2, x2*x3^2*x2, x2*x3*x2*x3^3 ] [ x1*x3*x2*x3*x2*x3^3, x1, x2*x3^2*x2, x2*x3*x2*x3^3 ] [ x2*x3*x2*x3*x2*x3^3, x1*x2, x2*x3^2*x2, x2*x3*x2*x3^3 ] [ x1*x2*x3*x2*x3*x2*x3^3, x2, x1, x2*x3^2*x2 ] [ x1*x2*x3*x2*x3*x2*x3^3, x2, x1, x2*x3*x2*x3 ] [ x1*x2*x3*x2*x3*x2*x3^3, x2, x2*x3^2*x2, x2*x3*x2*x3^3 ] [ x1*x2*x3*x2*x3*x2*x3^3, x1, x2*x3^2*x2, x2*x3*x2*x3^3 ] [ x1*x2*x3*x2*x3*x2*x3^3, x1*x2, x2*x3^2*x2, x2*x3*x2*x3^3 ] [ x2, x1, x2*x3^2*x2, x2*x3*x2*x3^3 ] [ x2*x3*x2*x3*x2*x3^3, x2, x2*x3^2*x2, x2*x3*x2*x3^3 ] [ x1*x3*x2*x3*x2*x3^3, x1, x2*x3^2*x2, x2*x3*x2*x3^3 ] [ x2*x3*x2*x3*x2*x3^3, x1*x2, x2*x3^2*x2, x2*x3*x2*x3^3 ] [ x1*x2*x3*x2*x3*x2*x3^3, x2, x1, x2*x3^2*x2 ] [ x1*x2*x3*x2*x3*x2*x3^3, x2, x1, x2*x3*x2*x3 ] [ x3^3, x2^3, x3^2, x2^2 ] [ x3^3, x1*x2^2, x3^2, x2^2 ] [ x3^3, x2*x1, x3^2, x2^2 ] [ x2^3, x1*x2^2, x3^2, x2^2 ] [ x1*x2^2*x3^3, x2^3, x3^2, x2^2 ] [ x2^3*x3^3, x1*x2^2, x3^2, x2^2 ] [ x1*x2^2*x3^3, x2*x1, x3^2, x2^2 ] [ x3^3, x2^3, x1*x2^2, x2^2 ] [ x3^3, x2^3, x1*x2^2, x3^2 ] [ x1*x3^3, x2^3, x3^2, x2^2 ] [ x1*x3^3, x1, x3^2, x2^2 ] [ x1*x3^3, x1*x2^3, x3^2, x2^2 ] [ x2^3, x1, x3^2, x2^2 ] [ x3^3, x2^3, x3^2, x2^2 ] [ x1*x2^3*x3^3, x1, x3^2, x2^2 ] [ x3^3, x1*x2^3, x3^2, x2^2 ] [ x1*x3^3, x2^3, x1, x2^2 ] [ x1*x3^3, x2^3, x1, x3^2 ] [ x1*x2^3*x3^3, x2^3, x2^2, x3^2 ] [ x1*x2^3*x3^3, x1, x2^2, x3^2 ] [ x1*x2^3*x3^3, x1*x2^3, x2^2, x3^2 ] [ x2^3, x1, x2^2, x3^2 ] [ x2^3*x3^3, x2^3, x2^2, x3^2 ] [ x1*x3^3, x1, x2^2, x3^2 ] [ x2^3*x3^3, x1*x2^3, x2^2, x3^2 ] [ x1*x2^3*x3^3, x2^3, x1, x2^2 ] [ x1*x2^3*x3^3, x2^3, x1, x3^2 ] [ x1*x2^3*x3^3, x2^3, x1, x2^2*x1*x3^2*x1 ] [ x1*x2^3*x3^3, x2^3, x1, x2^2*x3^2 ] [ x2*x1*x2*x1*x2*x3*x1*x3*x1*x3, x2, x1*x3*x1*x3, x1*x2*x1*x2 ] [ x2*x1*x2*x1*x2*x3*x1*x3*x1*x3, x1*x2*x1*x2*x1, x1*x3*x1*x3, x1*x2*x1*x2 ] [ x2*x1*x2*x1*x2*x3*x1*x3*x1*x3, x1*x2*x1*x2*x1*x2, x1*x3*x1*x3, x1*x2*x1*x2 ] [ x2, x1*x2*x1*x2*x1, x1*x3*x1*x3, x1*x2*x1*x2 ] [ x2*x1*x3*x1*x3*x1*x3, x2, x1*x3*x1*x3, x1*x2*x1*x2 ] [ x1*x2*x1*x2*x3*x1*x3*x1*x3, x1*x2*x1*x2*x1, x1*x3*x1*x3, x1*x2*x1*x2 ] [ x2*x1*x3*x1*x3*x1*x3, x1*x2*x1*x2*x1*x2, x1*x3*x1*x3, x1*x2*x1*x2 ] [ x2*x1*x2*x1*x2*x3*x1*x3*x1*x3, x2, x1*x2*x1*x2*x1, x1*x3*x1*x3 ] [ x2*x1*x2*x1*x2*x3*x1*x3*x1*x3, x2, x1*x2*x1*x2*x1, x1*x2*x1*x2 ] [ x2*x1*x2*x1*x2*x3*x1*x3*x1*x3, x2, x1*x2*x1*x2*x1, x2*x1*x2*x3*x1*x3 ] [ x2*x1*x2*x1*x2*x3*x1*x3*x1*x3, x2, x1*x2*x1*x2*x1, x1*x2*x1*x2*x1*x3*x1*x3 ] [ x1*x3*x1*x3*x1*x3, x1*x2^3, x1*x3*x1*x3, x2^2 ] [ x1*x3*x1*x3*x1*x3, x1, x1*x3*x1*x3, x2^2 ] [ x1*x3*x1*x3*x1*x3, x2^3, x1*x3*x1*x3, x2^2 ] [ x1*x2^3, x1, x1*x3*x1*x3, x2^2 ] [ x3*x1*x3*x1*x3, x1*x2^3, x1*x3*x1*x3, x2^2 ] [ x2^3*x3*x1*x3*x1*x3, x1, x1*x3*x1*x3, x2^2 ] [ x3*x1*x3*x1*x3, x2^3, x1*x3*x1*x3, x2^2 ] [ x1*x3*x1*x3*x1*x3, x1*x2^3, x1, x1*x3*x1*x3 ] [ x1*x3*x1*x3*x1*x3, x1*x2^3, x1, x2^2 ] [ x1*x3*x1*x3*x1*x3, x1*x2^3, x1, x1*x2^2*x3*x1*x3 ] [ x1*x3*x1*x3*x1*x3, x1*x2^3, x1, x2^2*x1*x3*x1*x3 ] [ x1*x2^3*x3^3, x1*x2^3, x2^2*x1*x3^2*x1, x3^2 ] [ x1*x2^3*x3^3, x1, x2^2*x1*x3^2*x1, x3^2 ] [ x1*x2^3*x3^3, x2^3, x2^2*x1*x3^2*x1, x3^2 ] [ x1*x2^3, x1, x2^2*x1*x3^2*x1, x3^2 ] [ x2^3*x3^3, x1*x2^3, x2^2*x1*x3^2*x1, x3^2 ] [ x3^3, x1, x2^2*x1*x3^2*x1, x3^2 ] [ x2^3*x3^3, x2^3, x2^2*x1*x3^2*x1, x3^2 ] [ x1*x2^3*x3^3, x1*x2^3, x1, x2^2*x1*x3^2*x1 ] [ x1*x2^3*x3^3, x1*x2^3, x1, x3^2 ] [ x1*x2^3*x3^3, x1*x2^3, x1, x2^2*x3^2 ] [ x1*x2^3*x3^3, x1*x2^3, x1, x2^2 ] [ x3^3, x2^3*x3^2*x1, x2^2, x3^2 ] [ x3^3, x3^2*x1, x2^2, x3^2 ] [ x3^3, x2^3, x2^2, x3^2 ] [ x2^3*x3^2*x1, x3^2*x1, x2^2, x3^2 ] [ x1*x3, x2^3*x3^2*x1, x2^2, x3^2 ] [ x1*x2^3*x3, x3^2*x1, x2^2, x3^2 ] [ x1*x3, x2^3, x2^2, x3^2 ] [ x3^3, x2^3*x3^2*x1, x3^2*x1, x2^2 ] [ x3^3, x2^3*x3^2*x1, x3^2*x1, x3^2 ] [ x3^3, x2^3*x3^2*x1, x3^2*x1, x2^2*x1*x3^2*x1 ] [ x3^3, x2^3*x3^2*x1, x3^2*x1, x2^2*x3^2 ] [ x3^3, x2^3, x2^2, x3^2 ] [ x3^3, x1*x3^2, x2^2, x3^2 ] [ x3^3, x1*x2^3*x3^2, x2^2, x3^2 ] [ x2^3, x1*x3^2, x2^2, x3^2 ] [ x3*x1, x2^3, x2^2, x3^2 ] [ x2^3*x3^3, x1*x3^2, x2^2, x3^2 ] [ x3*x1, x1*x2^3*x3^2, x2^2, x3^2 ] [ x3^3, x2^3, x1*x3^2, x2^2 ] [ x3^3, x2^3, x1*x3^2, x3^2 ] [ x3^3, x2^3, x1*x3^2, x2^2*x1*x3^2*x1 ] [ x3^3, x2^3, x1*x3^2, x2^2*x3^2 ] [ x1*x2^2*x3^3, x2*x1*x3^2, x3^2, x2^2 ] [ x1*x2^2*x3^3, x1*x2^2, x3^2, x2^2 ] [ x1*x2^2*x3^3, x2^3*x3^2, x3^2, x2^2 ] [ x2*x1*x3^2, x1*x2^2, x3^2, x2^2 ] [ x3^3, x2*x1*x3^2, x3^2, x2^2 ] [ x2^2*x3*x2, x1*x2^2, x3^2, x2^2 ] [ x3^3, x2^3*x3^2, x3^2, x2^2 ] [ x1*x2^2*x3^3, x2*x1*x3^2, x1*x2^2, x2^2 ] [ x1*x2^2*x3^3, x2*x1*x3^2, x1*x2^2, x3^2 ] [ x2*x1*x3^3, x1*x2*x1, x3^2, x1*x2*x1*x2 ] [ x2*x1*x3^3, x2*x1*x2, x3^2, x1*x2*x1*x2 ] [ x2*x1*x3^3, x1*x2*x1*x2*x1*x2, x3^2, x1*x2*x1*x2 ] [ x1*x2*x1, x2*x1*x2, x3^2, x1*x2*x1*x2 ] [ x2*x3^3, x1*x2*x1, x3^2, x1*x2*x1*x2 ] [ x1*x2*x1*x2*x1*x3^3, x2*x1*x2, x3^2, x1*x2*x1*x2 ] [ x2*x3^3, x1*x2*x1*x2*x1*x2, x3^2, x1*x2*x1*x2 ] [ x2*x1*x3^3, x1*x2*x1, x2*x1*x2, x1*x2*x1*x2 ] [ x2*x1*x3^3, x1*x2*x1, x2*x1*x2, x3^2 ] [ x1*x2^4*x3*x2*x3*x2*x3, x1, x2^2, x2*x3*x2*x3 ] [ x1*x2^4*x3*x2*x3*x2*x3, x2^3, x2^2, x2*x3*x2*x3 ] [ x1*x2^4*x3*x2*x3*x2*x3, x1*x2^3, x2^2, x2*x3*x2*x3 ] [ x1, x2^3, x2^2, x2*x3*x2*x3 ] [ x1*x2*x3*x2*x3*x2*x3, x1, x2^2, x2*x3*x2*x3 ] [ x2^4*x3*x2*x3*x2*x3, x2^3, x2^2, x2*x3*x2*x3 ] [ x1*x2*x3*x2*x3*x2*x3, x1*x2^3, x2^2, x2*x3*x2*x3 ] [ x1*x2^4*x3*x2*x3*x2*x3, x1, x2^3, x2*x3*x2*x3 ] [ x1*x2^4*x3*x2*x3*x2*x3, x1, x2^3, x2^2 ] [ x1*x3*x1*x3*x1*x3^3, x1*x2, x1*x3^2*x1, x1*x3*x1*x3^3 ] [ x1*x3*x1*x3*x1*x3^3, x1, x1*x3^2*x1, x1*x3*x1*x3^3 ] [ x1*x3*x1*x3*x1*x3^3, x2, x1*x3^2*x1, x1*x3*x1*x3^3 ] [ x1*x2, x1, x1*x3^2*x1, x1*x3*x1*x3^3 ] [ x3*x1*x3*x1*x3^3, x1*x2, x1*x3^2*x1, x1*x3*x1*x3^3 ] [ x2*x3*x1*x3*x1*x3^3, x1, x1*x3^2*x1, x1*x3*x1*x3^3 ] [ x3*x1*x3*x1*x3^3, x2, x1*x3^2*x1, x1*x3*x1*x3^3 ] [ x1*x3*x1*x3*x1*x3^3, x1*x2, x1, x1*x3*x1*x3 ] [ x1*x3*x1*x3*x1*x3^3, x1*x2, x1, x1*x3^2*x1 ] [ x2^2*x3^3, x1, x2^4, x3^2 ] [ x2^2*x3^3, x1*x2^2*x3^2*x2, x2^4, x3^2 ] [ x2^2*x3^3, x2^2*x3^2*x2, x2^4, x3^2 ] [ x1, x1*x2^2*x3^2*x2, x2^4, x3^2 ] [ x1*x2^5*x3, x1, x2^4, x3^2 ] [ x1*x2^2*x3^3, x1*x2^2*x3^2*x2, x2^4, x3^2 ] [ x1*x2^5*x3, x2^2*x3^2*x2, x2^4, x3^2 ] [ x2^2*x3^3, x1, x1*x2^2*x3^2*x2, x2^4 ] [ x2^2*x3^3, x1, x1*x2^2*x3^2*x2, x3^2 ] [ x3*x1*x3*x1*x3^3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x3*x1*x3*x1*x3^3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x3*x1*x3*x1*x3^3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x1*x2, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x1*x3*x1*x3*x1*x3^3, x1*x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x1*x2*x3*x1*x3*x1*x3^3, x1, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x1*x3*x1*x3*x1*x3^3, x2, x1*x3*x1*x3, x1*x3*x1*x3^3 ] [ x3*x1*x3*x1*x3^3, x1*x2, x1, x1*x3*x1*x3 ] [ x3*x1*x3*x1*x3^3, x1*x2, x1, x1*x3^2*x1 ] [ x3, x2*x1*x2*x1*x2^3, x1*x2*x1*x2, x1*x2*x1*x2^3 ] [ x3, x1, x1*x2*x1*x2, x1*x2*x1*x2^3 ] [ x3, x1*x2*x1*x2*x1*x2^3, x1*x2*x1*x2, x1*x2*x1*x2^3 ] [ x2*x1*x2*x1*x2^3, x1, x1*x2*x1*x2, x1*x2*x1*x2^3 ] [ x1*x3, x2*x1*x2*x1*x2^3, x1*x2*x1*x2, x1*x2*x1*x2^3 ] [ x2*x1*x2*x1*x2^3*x3, x1, x1*x2*x1*x2, x1*x2*x1*x2^3 ] [ x1*x3, x1*x2*x1*x2*x1*x2^3, x1*x2*x1*x2, x1*x2*x1*x2^3 ] [ x3, x2*x1*x2*x1*x2^3, x1, x1*x2^2*x1 ] [ x3, x2*x1*x2*x1*x2^3, x1, x1*x2*x1*x2 ] [ x3*x1*x3*x1*x3, x2, x3^2, x1*x2*x3*x1*x2*x3 ] [ x3*x1*x3*x1*x3, x1, x3^2, x1*x2*x3*x1*x2*x3 ] [ x3*x1*x3*x1*x3, x1*x2, x3^2, x1*x2*x3*x1*x2*x3 ] [ x2, x1, x3^2, x1*x2*x3*x1*x2*x3 ] [ x1*x3*x1*x3*x1*x3, x2, x3^2, x1*x2*x3*x1*x2*x3 ] [ x2*x3*x1*x3*x1*x3, x1, x3^2, x1*x2*x3*x1*x2*x3 ] [ x1*x3*x1*x3*x1*x3, x1*x2, x3^2, x1*x2*x3*x1*x2*x3 ] [ x3*x1*x3*x1*x3, x2, x1, x3^2 ] [ x3*x1*x3*x1*x3, x2, x1, x1*x2*x3*x1*x2*x3 ] [ x1*x4^3*x5, x4^3, x2*x3, x2, x4^2 ] [ x1*x4^3*x5, x4^3, x2*x3, x1, x4^2 ] [ x1*x4^3*x5, x4^3, x2*x3, x1*x2, x4^2 ] [ x1*x4^3*x5, x4^3, x2, x1, x4^2 ] [ x1*x4^3*x5, x4^3, x1*x2*x3, x2, x4^2 ] [ x1*x4^3*x5, x4^3, x3, x1, x4^2 ] [ x1*x4^3*x5, x4^3, x1*x2*x3, x1*x2, x4^2 ] [ x1*x4^3*x5, x2*x3, x2, x1, x4^2 ] [ x1*x4^3*x5, x1*x4^3, x2*x3, x2, x4^2 ] [ x1*x4^3*x5, x2*x4^3, x2*x3, x1, x4^2 ] [ x1*x4^3*x5, x1*x4^3, x2*x3, x1*x2, x4^2 ] [ x1*x4^3*x5, x2*x3*x4^3, x2, x1, x4^2 ] [ x1*x4^3*x5, x1*x4^3, x1*x2*x3, x2, x4^2 ] [ x1*x4^3*x5, x2*x4^3, x3, x1, x4^2 ] [ x1*x4^3*x5, x1*x4^3, x1*x2*x3, x1*x2, x4^2 ] [ x4^3, x2*x3, x2, x1, x4^2 ] [ x4^3*x5, x4^3, x2*x3, x2, x4^2 ] [ x1*x2*x4^3*x5, x4^3, x2*x3, x1, x4^2 ] [ x4^3*x5, x4^3, x2*x3, x1*x2, x4^2 ] [ x1*x2*x3*x4^3*x5, x4^3, x2, x1, x4^2 ] [ x4^3*x5, x4^3, x1*x2*x3, x2, x4^2 ] [ x1*x2*x4^3*x5, x4^3, x3, x1, x4^2 ] [ x4^3*x5, x4^3, x1*x2*x3, x1*x2, x4^2 ] [ x1*x5, x2*x3, x2, x1, x4^2 ] [ x4^3*x5, x1*x4^3, x2*x3, x2, x4^2 ] [ x1*x2*x4^3*x5, x2*x4^3, x2*x3, x1, x4^2 ] [ x4^3*x5, x1*x4^3, x2*x3, x1*x2, x4^2 ] [ x1*x2*x3*x4^3*x5, x2*x3*x4^3, x2, x1, x4^2 ] [ x4^3*x5, x1*x4^3, x1*x2*x3, x2, x4^2 ] [ x1*x2*x4^3*x5, x2*x4^3, x3, x1, x4^2 ] [ x4^3*x5, x1*x4^3, x1*x2*x3, x1*x2, x4^2 ] [ x1*x4^3*x5, x4^3, x2*x3, x2, x1 ] gap> LogTo();