/* Group 729.122 downloaded from the LMFDB on 13 June 2026. */
 
/* Various presentations of this group are stored in this file: 
	 GPC is polycyclic presentation GPerm is permutation group 
	 GLZ, GLFp, GLZA, GLZq, GLFq if they exist are matrix groups 
 
 Many characteristics of the group are stored as booleans in a record: 
	 Agroup, Zgroup, abelian, almost_simple,cyclic, metabelian, 
	 metacyclic, monomial, nilpotent, perfect, quasisimple, rational, 
	 solvable, supersolvable 
 
 The character table is stored as chartbl_n_i where n is the order of 
 the group and i is which group of that order it is. Conjugacy classes 
 are stored in the variable 'C' with elements from the group 'G'. 
*/
 
/* Constructions */
GPC := PCGroup([6, -3, 3, 3, -3, 3, 3, 1981, 8912, 386]); a,b,c,d,e,f := Explode([GPC.1, GPC.2, GPC.3, GPC.4, GPC.5, GPC.6]); AssignNames(~GPC, ["a", "b", "c", "d", "e", "f"]);
GPerm := PermutationGroup< 27 | (1,2,3)(4,5,7)(6,8,9)(10,11,15)(12,17,13)(14,16,18)(20,24,26)(21,27,25), (1,3,7)(2,6,9)(4,8,5)(11,16,12)(15,17,18)(19,20,25)(21,23,26)(22,24,27), (1,4,8)(2,5,9)(3,7,6)(10,12,18)(11,17,14)(13,16,15)(19,21,20)(22,25,24)(23,27,26), (1,5,6)(2,7,8)(3,4,9)(10,13,14)(11,12,16)(15,17,18)(19,22,23)(20,24,26)(21,25,27), (19,23,22)(20,26,24)(21,27,25), (1,5,6)(2,7,8)(3,4,9)(10,14,13)(11,16,12)(15,18,17)(19,23,22)(20,26,24)(21,27,25) >;

 
/* Booleans */
RF := recformat< Agroup, Zgroup, abelian, almost_simple, cyclic, metabelian, metacyclic, monomial, nilpotent, perfect, quasisimple, rational, solvable, supersolvable  : BoolElt >; 
booleans_729_122 := rec< RF |  
Agroup := false,
Zgroup := false,
abelian := false,
almost_simple := false,
cyclic := false,
metabelian := true,
metacyclic := false,
monomial := true,
nilpotent := true,
perfect := false,
quasisimple := false,
rational := false,
solvable := true,
supersolvable := true>; 

 
/* Character Table */
G:= GPC;
C := SequenceToConjugacyClasses([car<Integers(), Integers(), G> |< 1, 1, Id(G)>,< 3, 1, f>,< 3, 1, f^2>,< 3, 1, e>,< 3, 1, e^2>,< 3, 1, d>,< 3, 1, d^2>,< 3, 1, e*f>,< 3, 1, e^2*f^2>,< 3, 1, d*f>,< 3, 1, d^2*f^2>,< 3, 1, d*e>,< 3, 1, d^2*e^2>,< 3, 1, e*f^2>,< 3, 1, e^2*f>,< 3, 1, d*f^2>,< 3, 1, d^2*f>,< 3, 1, d*e^2>,< 3, 1, d^2*e>,< 3, 1, d*e*f>,< 3, 1, d^2*e^2*f^2>,< 3, 1, d*e*f^2>,< 3, 1, d^2*e^2*f>,< 3, 1, d*e^2*f>,< 3, 1, d^2*e*f^2>,< 3, 1, d^2*e*f>,< 3, 1, d*e^2*f^2>,< 3, 9, c>,< 3, 9, c^2>,< 3, 9, b>,< 3, 9, b^2>,< 3, 9, a>,< 3, 9, a^2>,< 3, 9, c*e>,< 3, 9, c^2*e^2>,< 3, 9, b*f>,< 3, 9, b^2*f^2>,< 3, 9, b*c>,< 3, 9, b^2*c^2>,< 3, 9, a*d>,< 3, 9, a^2*d^2>,< 3, 9, a*c>,< 3, 9, a^2*c^2>,< 3, 9, a*b>,< 3, 9, a^2*b^2>,< 3, 9, c*e^2>,< 3, 9, c^2*e>,< 3, 9, b*f^2>,< 3, 9, b^2*f>,< 3, 9, b*c^2>,< 3, 9, b^2*c>,< 3, 9, a*d^2>,< 3, 9, a^2*d>,< 3, 9, a*c^2>,< 3, 9, a^2*c>,< 3, 9, a*b^2>,< 3, 9, a^2*b>,< 3, 9, b*c*f>,< 3, 9, b^2*c^2*e>,< 3, 9, b*c*e>,< 3, 9, b^2*c^2*f>,< 3, 9, a*c*e>,< 3, 9, a^2*c^2*e^2>,< 3, 9, a*b*f>,< 3, 9, a^2*b^2*d>,< 3, 9, a*b*d>,< 3, 9, a^2*b^2*f>,< 3, 9, a*b*c>,< 3, 9, a^2*b^2*c^2*f>,< 3, 9, b*c^2*f>,< 3, 9, b^2*c*f^2>,< 3, 9, b^2*c*f>,< 3, 9, b*c^2*f^2>,< 3, 9, a*c*e^2>,< 3, 9, a^2*c^2*e>,< 3, 9, a*c^2*e>,< 3, 9, a^2*c*d>,< 3, 9, a*c^2*d>,< 3, 9, a^2*c*e>,< 3, 9, a*b*c^2>,< 3, 9, a^2*b^2*c*d>,< 3, 9, a*b^2*f>,< 3, 9, a^2*b*f^2>,< 3, 9, a*b^2*c>,< 3, 9, a^2*b*c^2*f>,< 3, 9, a^2*b*f>,< 3, 9, a*b^2*f^2>,< 3, 9, a^2*b*c>,< 3, 9, a*b^2*c^2*e>,< 3, 9, a*b^2*c^2>,< 3, 9, a^2*b*c*e>,< 3, 9, a^2*b*c^2>,< 3, 9, a*b^2*c*f>,< 3, 9, a^2*b^2*c>,< 3, 9, a*b*c^2*d>,< 3, 9, a^2*b^2*c^2>,< 3, 9, a*b*c*f>,< 3, 9, a*b*c*e>,< 3, 9, a^2*b^2*c^2*e>,< 3, 9, a*b*c^2*f>,< 3, 9, a^2*b^2*c*f>,< 3, 9, a^2*b*c*f>,< 3, 9, a*b^2*c^2*f>,< 3, 9, a*b^2*c*f^2>,< 3, 9, a^2*b*c^2*f^2>]); 
CR := CharacterRing(G);
x := CR!\[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,K.1^-1,K.1,K.1^-1,K.1^-1,K.1^-1,K.1,1,1,1,K.1^-1,K.1^-1,1,K.1^-1,K.1,K.1,K.1,K.1,K.1,K.1^-1,K.1,K.1,K.1^-1,1,K.1^-1,K.1,1,1,K.1,1,K.1^-1,K.1,K.1,K.1^-1,K.1,K.1,1,1,1,1,K.1,K.1,K.1^-1,K.1^-1,K.1^-1,1,K.1^-1,1,K.1^-1,K.1,1,1,K.1^-1,1,K.1,K.1^-1,1,1,K.1,K.1^-1,K.1^-1,K.1,K.1,K.1^-1,1,K.1^-1,1,1,K.1^-1,K.1^-1,K.1,K.1,K.1,1,K.1,1,K.1,K.1^-1,K.1^-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,K.1,K.1^-1,K.1,K.1,K.1,K.1^-1,1,1,1,K.1,K.1,1,K.1,K.1^-1,K.1^-1,K.1^-1,K.1^-1,K.1^-1,K.1,K.1^-1,K.1^-1,K.1,1,K.1,K.1^-1,1,1,K.1^-1,1,K.1,K.1^-1,K.1^-1,K.1,K.1^-1,K.1^-1,1,1,1,1,K.1^-1,K.1^-1,K.1,K.1,K.1,1,K.1,1,K.1,K.1^-1,1,1,K.1,1,K.1^-1,K.1,1,1,K.1^-1,K.1,K.1,K.1^-1,K.1^-1,K.1,1,K.1,1,1,K.1,K.1,K.1^-1,K.1^-1,K.1^-1,1,K.1^-1,1,K.1^-1,K.1,K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,K.1^-1,K.1,K.1,K.1,K.1^-1,1,K.1^-1,K.1,K.1^-1,K.1^-1,K.1^-1,1,1,K.1^-1,K.1,K.1,K.1^-1,K.1^-1,K.1^-1,K.1,K.1,1,K.1,1,K.1,1,K.1,K.1^-1,K.1,1,1,K.1,K.1,1,1,K.1^-1,1,K.1^-1,K.1^-1,1,1,K.1,1,K.1,K.1^-1,K.1,K.1,1,K.1^-1,K.1,1,K.1^-1,K.1^-1,K.1,K.1^-1,1,K.1,1,K.1,1,1,K.1^-1,1,K.1,K.1,K.1^-1,1,K.1^-1,K.1,K.1^-1,K.1,1,K.1,K.1^-1,K.1^-1,K.1^-1,1,K.1^-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,K.1,K.1^-1,K.1^-1,K.1^-1,K.1,1,K.1,K.1^-1,K.1,K.1,K.1,1,1,K.1,K.1^-1,K.1^-1,K.1,K.1,K.1,K.1^-1,K.1^-1,1,K.1^-1,1,K.1^-1,1,K.1^-1,K.1,K.1^-1,1,1,K.1^-1,K.1^-1,1,1,K.1,1,K.1,K.1,1,1,K.1^-1,1,K.1^-1,K.1,K.1^-1,K.1^-1,1,K.1,K.1^-1,1,K.1,K.1,K.1^-1,K.1,1,K.1^-1,1,K.1^-1,1,1,K.1,1,K.1^-1,K.1^-1,K.1,1,K.1,K.1^-1,K.1,K.1^-1,1,K.1^-1,K.1,K.1,K.1,1,K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,K.1^-1,K.1,K.1,K.1^-1,K.1,1,K.1,K.1^-1,K.1^-1,1,K.1^-1,K.1,1,1,K.1,K.1^-1,K.1,K.1^-1,K.1^-1,K.1^-1,K.1,K.1^-1,1,K.1^-1,1,K.1^-1,K.1,K.1,1,1,K.1,1,K.1,1,K.1,1,K.1^-1,1,1,K.1,1,K.1,K.1,1,K.1^-1,K.1^-1,K.1^-1,K.1,K.1^-1,K.1,K.1^-1,K.1,K.1,1,1,K.1,1,K.1^-1,1,K.1^-1,K.1^-1,1,K.1,K.1^-1,K.1^-1,K.1^-1,K.1,1,1,K.1,K.1^-1,K.1^-1,K.1,K.1^-1,K.1,1,1,K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,K.1,K.1^-1,K.1^-1,K.1,K.1^-1,1,K.1^-1,K.1,K.1,1,K.1,K.1^-1,1,1,K.1^-1,K.1,K.1^-1,K.1,K.1,K.1,K.1^-1,K.1,1,K.1,1,K.1,K.1^-1,K.1^-1,1,1,K.1^-1,1,K.1^-1,1,K.1^-1,1,K.1,1,1,K.1^-1,1,K.1^-1,K.1^-1,1,K.1,K.1,K.1,K.1^-1,K.1,K.1^-1,K.1,K.1^-1,K.1^-1,1,1,K.1^-1,1,K.1,1,K.1,K.1,1,K.1^-1,K.1,K.1,K.1,K.1^-1,1,1,K.1^-1,K.1,K.1,K.1^-1,K.1,K.1^-1,1,1,K.1^-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,K.1^-1,K.1,K.1^-1,K.1,1,K.1,K.1,K.1^-1,1,K.1,K.1^-1,K.1^-1,K.1^-1,1,K.1,1,K.1^-1,K.1,K.1^-1,1,K.1,1,K.1,1,K.1^-1,K.1,1,K.1^-1,K.1,K.1^-1,1,K.1^-1,K.1^-1,K.1,1,K.1^-1,K.1,K.1^-1,K.1^-1,1,K.1,K.1^-1,K.1,1,1,K.1,K.1^-1,K.1,K.1,1,K.1,1,K.1,K.1^-1,K.1,K.1^-1,K.1,K.1^-1,1,1,K.1^-1,1,K.1,K.1^-1,K.1,1,K.1^-1,K.1,1,K.1^-1,1,K.1^-1,1,K.1,K.1,1,K.1^-1,1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,K.1,K.1^-1,K.1,K.1^-1,1,K.1^-1,K.1^-1,K.1,1,K.1^-1,K.1,K.1,K.1,1,K.1^-1,1,K.1,K.1^-1,K.1,1,K.1^-1,1,K.1^-1,1,K.1,K.1^-1,1,K.1,K.1^-1,K.1,1,K.1,K.1,K.1^-1,1,K.1,K.1^-1,K.1,K.1,1,K.1^-1,K.1,K.1^-1,1,1,K.1^-1,K.1,K.1^-1,K.1^-1,1,K.1^-1,1,K.1^-1,K.1,K.1^-1,K.1,K.1^-1,K.1,1,1,K.1,1,K.1^-1,K.1,K.1^-1,1,K.1,K.1^-1,1,K.1,1,K.1,1,K.1^-1,K.1^-1,1,K.1,1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,K.1^-1,K.1,K.1^-1,1,K.1,K.1,K.1^-1,K.1,1,1,K.1^-1,K.1,K.1^-1,K.1^-1,K.1,K.1^-1,1,K.1,K.1^-1,K.1^-1,K.1,K.1,K.1^-1,K.1,1,K.1^-1,1,1,K.1^-1,K.1^-1,K.1^-1,1,K.1^-1,K.1,K.1^-1,K.1,K.1^-1,K.1,K.1,K.1^-1,K.1,K.1^-1,1,K.1,1,1,K.1,1,K.1,1,K.1^-1,K.1,K.1^-1,1,1,K.1,K.1^-1,1,K.1,K.1,1,K.1^-1,1,K.1,1,1,K.1,1,K.1,1,K.1^-1,1,1,K.1,K.1^-1,K.1^-1,K.1^-1,K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,K.1,K.1^-1,K.1,1,K.1^-1,K.1^-1,K.1,K.1^-1,1,1,K.1,K.1^-1,K.1,K.1,K.1^-1,K.1,1,K.1^-1,K.1,K.1,K.1^-1,K.1^-1,K.1,K.1^-1,1,K.1,1,1,K.1,K.1,K.1,1,K.1,K.1^-1,K.1,K.1^-1,K.1,K.1^-1,K.1^-1,K.1,K.1^-1,K.1,1,K.1^-1,1,1,K.1^-1,1,K.1^-1,1,K.1,K.1^-1,K.1,1,1,K.1^-1,K.1,1,K.1^-1,K.1^-1,1,K.1,1,K.1^-1,1,1,K.1^-1,1,K.1^-1,1,K.1,1,1,K.1^-1,K.1,K.1,K.1,K.1^-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,K.1^-1,K.1,K.1,1,1,1,1,1,K.1^-1,K.1,K.1^-1,K.1^-1,1,K.1,K.1,1,1,K.1^-1,K.1^-1,1,K.1,K.1,K.1^-1,K.1,K.1^-1,K.1,K.1,1,K.1^-1,1,K.1^-1,K.1^-1,K.1,1,K.1^-1,K.1,K.1,K.1,K.1,K.1^-1,1,K.1,K.1^-1,K.1^-1,K.1^-1,1,1,K.1^-1,K.1^-1,K.1,K.1,1,1,K.1^-1,K.1,K.1^-1,K.1^-1,K.1,K.1^-1,K.1,K.1,K.1,K.1^-1,1,1,K.1^-1,K.1^-1,K.1,K.1^-1,1,1,K.1,K.1,K.1^-1,1,K.1,1,1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,K.1,K.1^-1,K.1^-1,1,1,1,1,1,K.1,K.1^-1,K.1,K.1,1,K.1^-1,K.1^-1,1,1,K.1,K.1,1,K.1^-1,K.1^-1,K.1,K.1^-1,K.1,K.1^-1,K.1^-1,1,K.1,1,K.1,K.1,K.1^-1,1,K.1,K.1^-1,K.1^-1,K.1^-1,K.1^-1,K.1,1,K.1^-1,K.1,K.1,K.1,1,1,K.1,K.1,K.1^-1,K.1^-1,1,1,K.1,K.1^-1,K.1,K.1,K.1^-1,K.1,K.1^-1,K.1^-1,K.1^-1,K.1,1,1,K.1,K.1,K.1^-1,K.1,1,1,K.1^-1,K.1^-1,K.1,1,K.1^-1,1,1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,K.1^-1,K.1,1,K.1,K.1,K.1^-1,1,1,K.1,1,K.1^-1,K.1,K.1,K.1,K.1,K.1^-1,K.1^-1,1,K.1^-1,K.1^-1,K.1,1,K.1,1,1,K.1^-1,K.1^-1,K.1^-1,K.1,K.1,1,1,1,K.1^-1,1,K.1^-1,K.1^-1,K.1^-1,K.1^-1,1,K.1^-1,1,K.1^-1,K.1^-1,K.1,K.1,1,K.1^-1,1,K.1^-1,K.1^-1,K.1,1,1,1,K.1,K.1,K.1,K.1^-1,1,K.1,K.1,K.1^-1,1,K.1,K.1,K.1,1,K.1^-1,K.1^-1,K.1^-1,K.1,K.1^-1,1,1,K.1,K.1,K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,K.1,K.1^-1,1,K.1^-1,K.1^-1,K.1,1,1,K.1^-1,1,K.1,K.1^-1,K.1^-1,K.1^-1,K.1^-1,K.1,K.1,1,K.1,K.1,K.1^-1,1,K.1^-1,1,1,K.1,K.1,K.1,K.1^-1,K.1^-1,1,1,1,K.1,1,K.1,K.1,K.1,K.1,1,K.1,1,K.1,K.1,K.1^-1,K.1^-1,1,K.1,1,K.1,K.1,K.1^-1,1,1,1,K.1^-1,K.1^-1,K.1^-1,K.1,1,K.1^-1,K.1^-1,K.1,1,K.1^-1,K.1^-1,K.1^-1,1,K.1,K.1,K.1,K.1^-1,K.1,1,1,K.1^-1,K.1^-1,K.1^-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,K.1^-1,K.1,1,K.1^-1,1,K.1^-1,K.1^-1,K.1,K.1,K.1,K.1^-1,K.1^-1,K.1,K.1^-1,K.1,1,K.1,1,K.1^-1,1,K.1,K.1^-1,1,K.1^-1,K.1^-1,K.1,K.1^-1,K.1,1,K.1,K.1,K.1^-1,1,K.1^-1,K.1,1,K.1,1,1,K.1,K.1^-1,1,1,K.1,K.1,K.1^-1,K.1,1,1,K.1^-1,K.1,1,K.1^-1,K.1^-1,K.1,K.1^-1,1,1,K.1,K.1^-1,1,K.1^-1,1,K.1,K.1^-1,K.1,K.1^-1,K.1,K.1,K.1,1,1,K.1^-1,1,K.1^-1,K.1^-1,K.1,1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,K.1,K.1^-1,1,K.1,1,K.1,K.1,K.1^-1,K.1^-1,K.1^-1,K.1,K.1,K.1^-1,K.1,K.1^-1,1,K.1^-1,1,K.1,1,K.1^-1,K.1,1,K.1,K.1,K.1^-1,K.1,K.1^-1,1,K.1^-1,K.1^-1,K.1,1,K.1,K.1^-1,1,K.1^-1,1,1,K.1^-1,K.1,1,1,K.1^-1,K.1^-1,K.1,K.1^-1,1,1,K.1,K.1^-1,1,K.1,K.1,K.1^-1,K.1,1,1,K.1^-1,K.1,1,K.1,1,K.1^-1,K.1,K.1^-1,K.1,K.1^-1,K.1^-1,K.1^-1,1,1,K.1,1,K.1,K.1,K.1^-1,1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,K.1^-1,K.1,1,1,K.1^-1,K.1^-1,K.1,K.1^-1,K.1,K.1^-1,K.1^-1,1,K.1,1,K.1,K.1,1,1,K.1^-1,K.1,K.1,K.1,K.1^-1,K.1,K.1,1,K.1^-1,1,K.1^-1,K.1,K.1^-1,K.1,1,K.1^-1,K.1^-1,K.1,1,K.1,K.1,K.1^-1,K.1^-1,1,K.1,1,K.1,1,K.1^-1,K.1,1,K.1^-1,1,K.1^-1,K.1,K.1,K.1^-1,1,K.1^-1,K.1^-1,1,K.1,K.1^-1,1,K.1,K.1^-1,1,K.1,1,K.1^-1,1,1,K.1,K.1^-1,K.1^-1,1,K.1,1,K.1,K.1^-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,K.1,K.1^-1,1,1,K.1,K.1,K.1^-1,K.1,K.1^-1,K.1,K.1,1,K.1^-1,1,K.1^-1,K.1^-1,1,1,K.1,K.1^-1,K.1^-1,K.1^-1,K.1,K.1^-1,K.1^-1,1,K.1,1,K.1,K.1^-1,K.1,K.1^-1,1,K.1,K.1,K.1^-1,1,K.1^-1,K.1^-1,K.1,K.1,1,K.1^-1,1,K.1^-1,1,K.1,K.1^-1,1,K.1,1,K.1,K.1^-1,K.1^-1,K.1,1,K.1,K.1,1,K.1^-1,K.1,1,K.1^-1,K.1,1,K.1^-1,1,K.1,1,1,K.1^-1,K.1,K.1,1,K.1^-1,1,K.1^-1,K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,K.1^-1,K.1,K.1,K.1^-1,1,1,K.1^-1,K.1^-1,1,K.1^-1,K.1,1,1,K.1^-1,K.1^-1,K.1,1,K.1^-1,1,K.1^-1,K.1^-1,K.1^-1,K.1,K.1,K.1,K.1^-1,K.1^-1,K.1,K.1,K.1,K.1^-1,K.1^-1,K.1,K.1,K.1,K.1,K.1,K.1,K.1^-1,K.1^-1,1,1,K.1^-1,K.1,1,1,K.1,K.1,K.1,K.1,1,K.1,K.1^-1,K.1^-1,K.1^-1,1,1,K.1^-1,1,1,1,1,K.1,K.1^-1,K.1^-1,K.1^-1,1,K.1^-1,K.1^-1,1,K.1,K.1,1,1,K.1,K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,K.1,K.1^-1,K.1^-1,K.1,1,1,K.1,K.1,1,K.1,K.1^-1,1,1,K.1,K.1,K.1^-1,1,K.1,1,K.1,K.1,K.1,K.1^-1,K.1^-1,K.1^-1,K.1,K.1,K.1^-1,K.1^-1,K.1^-1,K.1,K.1,K.1^-1,K.1^-1,K.1^-1,K.1^-1,K.1^-1,K.1^-1,K.1,K.1,1,1,K.1,K.1^-1,1,1,K.1^-1,K.1^-1,K.1^-1,K.1^-1,1,K.1^-1,K.1,K.1,K.1,1,1,K.1,1,1,1,1,K.1^-1,K.1,K.1,K.1,1,K.1,K.1,1,K.1^-1,K.1^-1,1,1,K.1^-1,K.1^-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,K.1^-1,K.1^-1,1,K.1^-1,K.1^-1,K.1,K.1^-1,1,1,1,K.1,K.1,1,1,K.1,K.1,1,1,1,K.1,K.1,K.1,1,1,K.1,K.1,K.1,K.1,K.1^-1,1,K.1^-1,K.1^-1,K.1^-1,K.1^-1,1,K.1^-1,K.1^-1,K.1^-1,K.1^-1,K.1^-1,K.1,K.1^-1,K.1^-1,K.1^-1,K.1,K.1,K.1,K.1,1,1,K.1^-1,1,1,1,K.1,K.1^-1,K.1^-1,K.1,K.1^-1,K.1,K.1,K.1,K.1^-1,K.1^-1,1,1,K.1^-1,K.1,1,K.1^-1,K.1,K.1,K.1^-1,K.1,K.1,1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,K.1,K.1,1,K.1,K.1,K.1^-1,K.1,1,1,1,K.1^-1,K.1^-1,1,1,K.1^-1,K.1^-1,1,1,1,K.1^-1,K.1^-1,K.1^-1,1,1,K.1^-1,K.1^-1,K.1^-1,K.1^-1,K.1,1,K.1,K.1,K.1,K.1,1,K.1,K.1,K.1,K.1,K.1,K.1^-1,K.1,K.1,K.1,K.1^-1,K.1^-1,K.1^-1,K.1^-1,1,1,K.1,1,1,1,K.1^-1,K.1,K.1,K.1^-1,K.1,K.1^-1,K.1^-1,K.1^-1,K.1,K.1,1,1,K.1,K.1^-1,1,K.1,K.1^-1,K.1^-1,K.1,K.1^-1,K.1^-1,1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,K.1^-1,1,K.1^-1,K.1^-1,K.1,K.1^-1,K.1^-1,K.1,1,K.1,K.1,K.1^-1,1,K.1,1,K.1,1,K.1,1,1,1,1,K.1^-1,K.1^-1,K.1,1,1,K.1,1,K.1^-1,K.1^-1,K.1^-1,1,1,K.1^-1,1,1,1,K.1^-1,K.1^-1,K.1^-1,K.1,K.1^-1,1,K.1^-1,K.1^-1,K.1,K.1,K.1^-1,K.1^-1,K.1,K.1^-1,K.1,K.1,1,K.1,K.1,1,K.1,K.1^-1,K.1^-1,K.1^-1,1,K.1^-1,K.1,K.1,K.1,1,K.1,K.1,K.1,K.1,K.1,K.1^-1,K.1,K.1^-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,K.1,1,K.1,K.1,K.1^-1,K.1,K.1,K.1^-1,1,K.1^-1,K.1^-1,K.1,1,K.1^-1,1,K.1^-1,1,K.1^-1,1,1,1,1,K.1,K.1,K.1^-1,1,1,K.1^-1,1,K.1,K.1,K.1,1,1,K.1,1,1,1,K.1,K.1,K.1,K.1^-1,K.1,1,K.1,K.1,K.1^-1,K.1^-1,K.1,K.1,K.1^-1,K.1,K.1^-1,K.1^-1,1,K.1^-1,K.1^-1,1,K.1^-1,K.1,K.1,K.1,1,K.1,K.1^-1,K.1^-1,K.1^-1,1,K.1^-1,K.1^-1,K.1^-1,K.1^-1,K.1^-1,K.1,K.1^-1,K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,K.1^-1,K.1,1,K.1,K.1^-1,1,K.1^-1,1,K.1^-1,1,K.1^-1,1,K.1^-1,K.1,1,1,K.1^-1,1,K.1,K.1,K.1,K.1,K.1,1,K.1,K.1,1,K.1^-1,K.1,1,1,K.1^-1,K.1^-1,K.1,K.1^-1,K.1^-1,K.1^-1,1,1,K.1^-1,K.1,1,K.1^-1,K.1^-1,K.1^-1,1,1,K.1,K.1,K.1,K.1,K.1^-1,K.1^-1,K.1,K.1,K.1,K.1,K.1,K.1^-1,K.1^-1,K.1^-1,K.1^-1,1,K.1^-1,K.1^-1,K.1,K.1,K.1^-1,K.1,1,1,K.1,K.1^-1,1,K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,K.1,K.1^-1,1,K.1^-1,K.1,1,K.1,1,K.1,1,K.1,1,K.1,K.1^-1,1,1,K.1,1,K.1^-1,K.1^-1,K.1^-1,K.1^-1,K.1^-1,1,K.1^-1,K.1^-1,1,K.1,K.1^-1,1,1,K.1,K.1,K.1^-1,K.1,K.1,K.1,1,1,K.1,K.1^-1,1,K.1,K.1,K.1,1,1,K.1^-1,K.1^-1,K.1^-1,K.1^-1,K.1,K.1,K.1^-1,K.1^-1,K.1^-1,K.1^-1,K.1^-1,K.1,K.1,K.1,K.1,1,K.1,K.1,K.1^-1,K.1^-1,K.1,K.1^-1,1,1,K.1^-1,K.1,1,K.1^-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1^-1,3*K.1,3*K.1,3*K.1,3*K.1^-1,3,3*K.1,3,3*K.1^-1,3*K.1^-1,3*K.1,3,3,3*K.1^-1,3*K.1^-1,3,3*K.1^-1,3*K.1^-1,3,3*K.1,3*K.1,3*K.1^-1,3,3,3*K.1,3*K.1,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1^-1,3*K.1,3,3*K.1^-1,3,3*K.1,3*K.1,3*K.1^-1,3,3,3*K.1,3*K.1,3,3*K.1,3*K.1,3,3*K.1^-1,3*K.1^-1,3*K.1,3,3,3*K.1^-1,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1^-1,3*K.1,3*K.1,3*K.1,3*K.1^-1,3,3*K.1,3,3*K.1^-1,3*K.1^-1,3*K.1,3,3,3*K.1^-1,3*K.1^-1,3,3*K.1^-1,3*K.1^-1,3,3*K.1,3*K.1,3*K.1^-1,3,3,3*K.1,3*K.1,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1^-1,3*K.1,3,3*K.1^-1,3,3*K.1,3*K.1,3*K.1^-1,3,3,3*K.1,3*K.1,3,3*K.1,3*K.1,3,3*K.1^-1,3*K.1^-1,3*K.1,3,3,3*K.1^-1,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1^-1,3*K.1,3*K.1,3*K.1,3*K.1^-1,3,3*K.1,3,3*K.1^-1,3*K.1^-1,3*K.1,3,3,3*K.1^-1,3*K.1^-1,3,3*K.1^-1,3*K.1^-1,3,3*K.1,3*K.1,3*K.1^-1,3,3,3*K.1,3*K.1,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1^-1,3*K.1,3,3*K.1^-1,3,3*K.1,3*K.1,3*K.1^-1,3,3,3*K.1,3*K.1,3,3*K.1,3*K.1,3,3*K.1^-1,3*K.1^-1,3*K.1,3,3,3*K.1^-1,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1^-1,3*K.1^-1,3*K.1^-1,3*K.1^-1,3,3,3*K.1,3,3*K.1,3,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,3,3*K.1,3*K.1,3*K.1,3*K.1^-1,3*K.1,3,3*K.1^-1,3*K.1,3*K.1^-1,3,3,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,3,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1,3*K.1,3*K.1,3*K.1,3,3,3*K.1^-1,3,3*K.1^-1,3,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,3,3*K.1^-1,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1^-1,3,3*K.1,3*K.1^-1,3*K.1,3,3,0,0,0,0,0,3*K.1,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,3,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1^-1,3*K.1^-1,3*K.1^-1,3*K.1^-1,3,3,3*K.1,3,3*K.1,3,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,3,3*K.1,3*K.1,3*K.1,3*K.1^-1,3*K.1,3,3*K.1^-1,3*K.1,3*K.1^-1,3,3,0,0,0,0,0,3*K.1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,3*K.1^-1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1,3*K.1,3*K.1,3*K.1,3,3,3*K.1^-1,3,3*K.1^-1,3,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,3,3*K.1^-1,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1^-1,3,3*K.1,3*K.1^-1,3*K.1,3,3,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,3*K.1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1^-1,3*K.1^-1,3*K.1^-1,3*K.1^-1,3,3,3*K.1,3,3*K.1,3,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,3,3*K.1,3*K.1,3*K.1,3*K.1^-1,3*K.1,3,3*K.1^-1,3*K.1,3*K.1^-1,3,3,0,0,0,0,0,3,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,3*K.1,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1,3*K.1,3*K.1,3*K.1,3,3,3*K.1^-1,3,3*K.1^-1,3,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,3,3*K.1^-1,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1^-1,3,3*K.1,3*K.1^-1,3*K.1,3,3,0,0,0,0,0,3,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,3*K.1^-1,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1^-1,3*K.1^-1,3*K.1,3,3*K.1^-1,3*K.1^-1,3,3*K.1,3,3,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1,3*K.1,3,3*K.1,3*K.1^-1,3,3*K.1,3,3,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,3*K.1,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1,3*K.1,3*K.1^-1,3,3*K.1,3*K.1,3,3*K.1^-1,3,3,3*K.1,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1^-1,3,3*K.1^-1,3*K.1,3,3*K.1^-1,3,3,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1^-1,3*K.1^-1,3*K.1,3,3*K.1^-1,3*K.1^-1,3,3*K.1,3,3,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1,3*K.1,3,3*K.1,3*K.1^-1,3,3*K.1,3,3,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,3,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1,3*K.1,3*K.1^-1,3,3*K.1,3*K.1,3,3*K.1^-1,3,3,3*K.1,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1^-1,3,3*K.1^-1,3*K.1,3,3*K.1^-1,3,3,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,3,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1^-1,3*K.1^-1,3*K.1,3,3*K.1^-1,3*K.1^-1,3,3*K.1,3,3,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1,3*K.1,3,3*K.1,3*K.1^-1,3,3*K.1,3,3,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1,3*K.1,3*K.1^-1,3,3*K.1,3*K.1,3,3*K.1^-1,3,3,3*K.1,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1^-1,3,3*K.1^-1,3*K.1,3,3*K.1^-1,3,3,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,3*K.1,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1^-1,3*K.1,3*K.1^-1,3,3,3*K.1,3*K.1^-1,3*K.1^-1,3,3*K.1^-1,3,3,3,3,3*K.1,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,3*K.1,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,3,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,3]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1,3*K.1^-1,3*K.1,3,3,3*K.1^-1,3*K.1,3*K.1,3,3*K.1,3,3,3,3,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,3,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,3]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1^-1,3*K.1,3*K.1^-1,3,3,3*K.1,3*K.1^-1,3*K.1^-1,3,3*K.1^-1,3,3,3,3,3*K.1,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,3*K.1,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,3,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,3*K.1^-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1,3*K.1^-1,3*K.1,3,3,3*K.1^-1,3*K.1,3*K.1,3,3*K.1,3,3,3,3,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,3,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,3*K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1^-1,3*K.1,3*K.1^-1,3,3,3*K.1,3*K.1^-1,3*K.1^-1,3,3*K.1^-1,3,3,3,3,3*K.1,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,3*K.1,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,3,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,3,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,3*K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1,3*K.1^-1,3*K.1,3,3,3*K.1^-1,3*K.1,3*K.1,3,3*K.1,3,3,3,3,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,3,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,3,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,3*K.1^-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1^-1,3*K.1^-1,3,3*K.1,3*K.1,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1^-1,3,3,3*K.1^-1,3*K.1,3,3*K.1^-1,3*K.1^-1,3*K.1,3,3*K.1,3*K.1,3,3*K.1,3,3,3*K.1,3*K.1^-1,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1,3*K.1,3,3*K.1^-1,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1,3*K.1,3,3,3*K.1,3*K.1^-1,3,3*K.1,3*K.1,3*K.1^-1,3,3*K.1^-1,3*K.1^-1,3,3*K.1^-1,3,3,3*K.1^-1,3*K.1,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1^-1,3*K.1^-1,3,3*K.1,3*K.1,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1^-1,3,3,3*K.1^-1,3*K.1,3,3*K.1^-1,3*K.1^-1,3*K.1,3,3*K.1,3*K.1,3,3*K.1,3,3,3*K.1,3*K.1^-1,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1,3*K.1,3,3*K.1^-1,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1,3*K.1,3,3,3*K.1,3*K.1^-1,3,3*K.1,3*K.1,3*K.1^-1,3,3*K.1^-1,3*K.1^-1,3,3*K.1^-1,3,3,3*K.1^-1,3*K.1,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1^-1,3*K.1^-1,3,3*K.1,3*K.1,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1^-1,3,3,3*K.1^-1,3*K.1,3,3*K.1^-1,3*K.1^-1,3*K.1,3,3*K.1,3*K.1,3,3*K.1,3,3,3*K.1,3*K.1^-1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1,3*K.1,3,3*K.1^-1,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1,3*K.1,3,3,3*K.1,3*K.1^-1,3,3*K.1,3*K.1,3*K.1^-1,3,3*K.1^-1,3*K.1^-1,3,3*K.1^-1,3,3,3*K.1^-1,3*K.1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1^-1,3*K.1,3,3*K.1^-1,3*K.1,3*K.1^-1,3,3*K.1,3*K.1,3*K.1^-1,3*K.1^-1,3,3,3*K.1,3,3*K.1^-1,3*K.1^-1,3,3*K.1,3*K.1,3*K.1,3,3*K.1,3*K.1^-1,3,3*K.1^-1,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1,3*K.1^-1,3,3*K.1,3*K.1^-1,3*K.1,3,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1,3,3,3*K.1^-1,3,3*K.1,3*K.1,3,3*K.1^-1,3*K.1^-1,3*K.1^-1,3,3*K.1^-1,3*K.1,3,3*K.1,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1^-1,3*K.1,3,3*K.1^-1,3*K.1,3*K.1^-1,3,3*K.1,3*K.1,3*K.1^-1,3*K.1^-1,3,3,3*K.1,3,3*K.1^-1,3*K.1^-1,3,3*K.1,3*K.1,3*K.1,3,3*K.1,3*K.1^-1,3,3*K.1^-1,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1,3*K.1^-1,3,3*K.1,3*K.1^-1,3*K.1,3,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1,3,3,3*K.1^-1,3,3*K.1,3*K.1,3,3*K.1^-1,3*K.1^-1,3*K.1^-1,3,3*K.1^-1,3*K.1,3,3*K.1,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1^-1,3*K.1,3,3*K.1^-1,3*K.1,3*K.1^-1,3,3*K.1,3*K.1,3*K.1^-1,3*K.1^-1,3,3,3*K.1,3,3*K.1^-1,3*K.1^-1,3,3*K.1,3*K.1,3*K.1,3,3*K.1,3*K.1^-1,3,3*K.1^-1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1,3*K.1^-1,3,3*K.1,3*K.1^-1,3*K.1,3,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1,3,3,3*K.1^-1,3,3*K.1,3*K.1,3,3*K.1^-1,3*K.1^-1,3*K.1^-1,3,3*K.1^-1,3*K.1,3,3*K.1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1^-1,3,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1,3,3*K.1,3*K.1^-1,3,3,3,3,3*K.1^-1,3,3*K.1,3*K.1^-1,3*K.1,3*K.1,3*K.1^-1,3,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,3*K.1,0,0,0,0,0,0,3*K.1,0,3*K.1^-1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1,3,3*K.1^-1,3*K.1,3*K.1,3*K.1^-1,3*K.1,3*K.1,3*K.1^-1,3*K.1^-1,3,3*K.1^-1,3*K.1,3,3,3,3,3*K.1,3,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1,3,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,3*K.1^-1,0,3*K.1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1^-1,3,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1,3,3*K.1,3*K.1^-1,3,3,3,3,3*K.1^-1,3,3*K.1,3*K.1^-1,3*K.1,3*K.1,3*K.1^-1,3,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,3,0,0,0,0,0,0,3*K.1^-1,0,3,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1,3,3*K.1^-1,3*K.1,3*K.1,3*K.1^-1,3*K.1,3*K.1,3*K.1^-1,3*K.1^-1,3,3*K.1^-1,3*K.1,3,3,3,3,3*K.1,3,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1,3,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,3,0,0,0,0,0,0,3*K.1,0,3,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1^-1,3,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1,3,3*K.1,3*K.1^-1,3,3,3,3,3*K.1^-1,3,3*K.1,3*K.1^-1,3*K.1,3*K.1,3*K.1^-1,3,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,3,0,3*K.1,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1,3,3*K.1^-1,3*K.1,3*K.1,3*K.1^-1,3*K.1,3*K.1,3*K.1^-1,3*K.1^-1,3,3*K.1^-1,3*K.1,3,3,3,3,3*K.1,3,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1,3,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,3*K.1,0,0,0,0,0,0,3,0,3*K.1^-1,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1^-1,3,3*K.1^-1,3*K.1,3,3*K.1^-1,3,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,3,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,3,3,3,3*K.1,3,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,3,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1,3,3*K.1,3*K.1^-1,3,3*K.1,3,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,3,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,3,3,3,3*K.1^-1,3,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,3,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1^-1,3,3*K.1^-1,3*K.1,3,3*K.1^-1,3,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,3,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,3,3,3,3*K.1,3,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1,3,3*K.1,3*K.1^-1,3,3*K.1,3,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,3,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,3,3,3,3*K.1^-1,3,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1^-1,3,3*K.1^-1,3*K.1,3,3*K.1^-1,3,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,3,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,3,3,3,3*K.1,3,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1,3,3*K.1,3*K.1^-1,3,3*K.1,3,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,3,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,3,3,3,3*K.1^-1,3,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1^-1,3,3,3,3*K.1,3,3*K.1,3,3,3*K.1,3*K.1,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1^-1,3,3,3*K.1,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,3*K.1,0,0,0,0,0,0,3*K.1^-1,0,0,0,3,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1,3,3,3,3*K.1^-1,3,3*K.1^-1,3,3,3*K.1^-1,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1,3*K.1^-1,3*K.1,3,3,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1,3*K.1,3*K.1^-1,3*K.1,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,3*K.1^-1,0,0,0,0,0,0,3*K.1,0,0,0,3,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1^-1,3,3,3,3*K.1,3,3*K.1,3,3,3*K.1,3*K.1,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1^-1,3,3,3*K.1,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,3,0,0,0,0,0,0,3,0,0,0,3*K.1,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1,3,3,3,3*K.1^-1,3,3*K.1^-1,3,3,3*K.1^-1,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1,3*K.1^-1,3*K.1,3,3,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1,3*K.1,3*K.1^-1,3*K.1,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,3,0,0,0,0,0,0,3,0,0,0,3*K.1^-1,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1^-1,3,3,3,3*K.1,3,3*K.1,3,3,3*K.1,3*K.1,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1^-1,3,3,3*K.1,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,3*K.1^-1,0,0,0,0,0,0,3*K.1,0,0,0,3*K.1^-1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3*K.1,3,3,3,3*K.1^-1,3,3*K.1^-1,3,3,3*K.1^-1,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1,3*K.1^-1,3*K.1,3,3,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1,3*K.1,3*K.1^-1,3*K.1,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,3*K.1,0,0,0,0,0,0,3*K.1^-1,0,0,0,3*K.1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3,3*K.1^-1,3*K.1^-1,3*K.1^-1,3*K.1^-1,3,3,3,3*K.1,3*K.1^-1,3,3*K.1,3*K.1^-1,3,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1,3*K.1,3,3*K.1,3,3*K.1^-1,3*K.1,3*K.1,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,3*K.1,0,3,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3,3*K.1,3*K.1,3*K.1,3*K.1,3,3,3,3*K.1^-1,3*K.1,3,3*K.1^-1,3*K.1,3,3*K.1,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1^-1,3,3*K.1^-1,3,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,3*K.1,0,0,3*K.1^-1,0,3,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3,3*K.1^-1,3*K.1^-1,3*K.1^-1,3*K.1^-1,3,3,3,3*K.1,3*K.1^-1,3,3*K.1,3*K.1^-1,3,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1,3*K.1,3,3*K.1,3,3*K.1^-1,3*K.1,3*K.1,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,3*K.1,0,0,3,0,3*K.1,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3,3*K.1,3*K.1,3*K.1,3*K.1,3,3,3,3*K.1^-1,3*K.1,3,3*K.1^-1,3*K.1,3,3*K.1,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1^-1,3,3*K.1^-1,3,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,3,0,3*K.1^-1,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3,3*K.1^-1,3*K.1^-1,3*K.1^-1,3*K.1^-1,3,3,3,3*K.1,3*K.1^-1,3,3*K.1,3*K.1^-1,3,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1,3*K.1,3,3*K.1,3,3*K.1^-1,3*K.1,3*K.1,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,3,0,0,3*K.1^-1,0,3*K.1^-1,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3,3*K.1,3*K.1,3*K.1,3*K.1,3,3,3,3*K.1^-1,3*K.1,3,3*K.1^-1,3*K.1,3,3*K.1,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1^-1,3,3*K.1^-1,3,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,3,0,0,3*K.1,0,3*K.1,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3,3*K.1^-1,3*K.1,3,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1,3,3*K.1^-1,3*K.1,3*K.1,3*K.1^-1,3*K.1^-1,3,3*K.1,3*K.1,3*K.1^-1,3*K.1^-1,3,3*K.1,3*K.1,3,3,3,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,3*K.1^-1,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3,3*K.1,3*K.1^-1,3,3*K.1^-1,3*K.1,3*K.1,3*K.1^-1,3,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1,3,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1,3,3*K.1^-1,3*K.1^-1,3,3,3,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,3*K.1,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3,3*K.1^-1,3*K.1,3,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1,3,3*K.1^-1,3*K.1,3*K.1,3*K.1^-1,3*K.1^-1,3,3*K.1,3*K.1,3*K.1^-1,3*K.1^-1,3,3*K.1,3*K.1,3,3,3,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,3*K.1,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,3,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3,3*K.1,3*K.1^-1,3,3*K.1^-1,3*K.1,3*K.1,3*K.1^-1,3,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1,3,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1,3,3*K.1^-1,3*K.1^-1,3,3,3,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,3*K.1^-1,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,3,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3,3*K.1^-1,3*K.1,3,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1,3,3*K.1^-1,3*K.1,3*K.1,3*K.1^-1,3*K.1^-1,3,3*K.1,3*K.1,3*K.1^-1,3*K.1^-1,3,3*K.1,3*K.1,3,3,3,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,3*K.1^-1,0,0,0,0,0,0,3,0,0,0,0,0,0,3*K.1,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3,3*K.1,3*K.1^-1,3,3*K.1^-1,3*K.1,3*K.1,3*K.1^-1,3,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1,3,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1,3,3*K.1^-1,3*K.1^-1,3,3,3,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,3*K.1,0,0,0,0,0,0,3,0,0,0,0,0,0,3*K.1^-1,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3,3*K.1^-1,3,3*K.1,3,3*K.1,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,3*K.1,3,3*K.1,3,3,3,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1^-1,3,0,0,0,0,0,0,3*K.1^-1,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3,3*K.1,3,3*K.1^-1,3,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1,3*K.1,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1^-1,3,3*K.1^-1,3,3,3,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,3*K.1,3,0,0,0,0,0,0,3*K.1,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3,3*K.1^-1,3,3*K.1,3,3*K.1,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,3*K.1,3,3*K.1,3,3,3,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1^-1,3,0,0,0,0,0,0,3*K.1,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,3,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3,3*K.1,3,3*K.1^-1,3,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1,3*K.1,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1^-1,3,3*K.1^-1,3,3,3,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,3*K.1,3,0,0,0,0,0,0,3*K.1^-1,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,3,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3,3*K.1^-1,3,3*K.1,3,3*K.1,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,3*K.1,3,3*K.1,3,3,3,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1^-1,3,0,0,0,0,0,0,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3,3*K.1,3,3*K.1^-1,3,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1,3*K.1,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1^-1,3,3*K.1^-1,3,3,3,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,3*K.1,3,0,0,0,0,0,0,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0,0,0,0,0,0,0,0,3*K.1,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3,3,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1^-1,3,3*K.1,3,3,3*K.1^-1,3*K.1,3*K.1^-1,3,3*K.1,3*K.1,3,3,3*K.1,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,0,0,0,0,0,0,0,0,3*K.1,0,0,0,3,0,0,0,3,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3,3,3*K.1,3*K.1^-1,3*K.1,3*K.1,3*K.1,3*K.1^-1,3*K.1,3,3*K.1^-1,3,3,3*K.1,3*K.1^-1,3*K.1,3,3*K.1^-1,3*K.1^-1,3,3,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,3,0,0,0,3,0,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3,3,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1^-1,3,3*K.1,3,3,3*K.1^-1,3*K.1,3*K.1^-1,3,3*K.1,3*K.1,3,3,3*K.1,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1,3*K.1^-1,0,0,0,0,0,0,0,0,3,0,0,0,3*K.1,0,0,0,3*K.1^-1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3,3,3*K.1,3*K.1^-1,3*K.1,3*K.1,3*K.1,3*K.1^-1,3*K.1,3,3*K.1^-1,3,3,3*K.1,3*K.1^-1,3*K.1,3,3*K.1^-1,3*K.1^-1,3,3,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1,0,0,0,0,0,0,0,0,3,0,0,0,3*K.1^-1,0,0,0,3*K.1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3,3,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1^-1,3,3*K.1,3,3,3*K.1^-1,3*K.1,3*K.1^-1,3,3*K.1,3*K.1,3,3,3*K.1,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1,3,3,0,0,0,0,0,0,0,0,3*K.1^-1,0,0,0,3*K.1^-1,0,0,0,3*K.1,0,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |3,3,3,3*K.1,3*K.1^-1,3*K.1,3*K.1,3*K.1,3*K.1^-1,3*K.1,3,3*K.1^-1,3,3,3*K.1,3*K.1^-1,3*K.1,3,3*K.1^-1,3*K.1^-1,3,3,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1,3*K.1^-1,3,3,0,0,0,0,0,0,0,0,3*K.1,0,0,0,3*K.1,0,0,0,3*K.1^-1,0,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
_ := CharacterTable(G : Check := 0); 
chartbl_729_122:= KnownIrreducibles(CR);