/* Group 132.8 downloaded from the LMFDB on 16 October 2025. */
 
/* 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([4, -2, -2, -3, -11, 369, 21, 1106, 46]); a,b := Explode([GPC.1, GPC.2]); AssignNames(~GPC, ["a", "b", "b2", "b6"]);
GPerm := PermutationGroup< 16 | (2,3), (4,5), (6,7,8,9,10,11,12,13,14,15,16), (1,2,3) >;
GLFp := MatrixGroup< 2, GF(23) | [[1, 0, 0, 22], [2, 20, 4, 2]] >;

 
/* Booleans */
RF := recformat< Agroup, Zgroup, abelian, almost_simple, cyclic, metabelian, metacyclic, monomial, nilpotent, perfect, quasisimple, rational, solvable, supersolvable  : BoolElt >; 
booleans_132_8 := rec< RF |  
Agroup := true,
Zgroup := false,
abelian := false,
almost_simple := false,
cyclic := false,
metabelian := true,
metacyclic := true,
monomial := true,
nilpotent := false,
perfect := false,
quasisimple := false,
rational := false,
solvable := true,
supersolvable := true>; 

 
/* Character Table */
G:= GPC;
C := SequenceToConjugacyClasses([car<Integers(), Integers(), G> |< 1, 1, Id(G)>,< 2, 1, b^33>,< 2, 3, a>,< 2, 3, a*b^55>,< 3, 2, b^22>,< 6, 2, b^11>,< 11, 1, b^12>,< 11, 1, b^54>,< 11, 1, b^24>,< 11, 1, b^42>,< 11, 1, b^36>,< 11, 1, b^30>,< 11, 1, b^48>,< 11, 1, b^18>,< 11, 1, b^60>,< 11, 1, b^6>,< 22, 1, b^3>,< 22, 1, b^63>,< 22, 1, b^9>,< 22, 1, b^57>,< 22, 1, b^15>,< 22, 1, b^51>,< 22, 1, b^21>,< 22, 1, b^45>,< 22, 1, b^27>,< 22, 1, b^39>,< 22, 3, a*b^6>,< 22, 3, a*b^60>,< 22, 3, a*b^18>,< 22, 3, a*b^4>,< 22, 3, a*b^30>,< 22, 3, a*b^36>,< 22, 3, a*b^42>,< 22, 3, a*b^2>,< 22, 3, a*b^54>,< 22, 3, a*b^12>,< 22, 3, a*b>,< 22, 3, a*b^43>,< 22, 3, a*b^3>,< 22, 3, a*b^19>,< 22, 3, a*b^5>,< 22, 3, a*b^61>,< 22, 3, a*b^7>,< 22, 3, a*b^37>,< 22, 3, a*b^31>,< 22, 3, a*b^13>,< 33, 2, b^2>,< 33, 2, b^64>,< 33, 2, b^4>,< 33, 2, b^62>,< 33, 2, b^8>,< 33, 2, b^58>,< 33, 2, b^10>,< 33, 2, b^56>,< 33, 2, b^16>,< 33, 2, b^50>,< 66, 2, b>,< 66, 2, b^43>,< 66, 2, b^5>,< 66, 2, b^61>,< 66, 2, b^7>,< 66, 2, b^37>,< 66, 2, b^13>,< 66, 2, b^31>,< 66, 2, b^19>,< 66, 2, b^25>]); 
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]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
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]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
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]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
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]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |1,1,1,1,1,1,K.1^-5,K.1^4,K.1^-1,K.1^-3,K.1^-4,K.1,K.1^2,K.1^5,K.1^3,K.1^-2,K.1^-1,K.1^-5,K.1^-3,K.1^4,K.1,K.1^5,K.1^-2,K.1^2,K.1^-4,K.1^3,K.1^-1,K.1^-2,K.1^4,K.1^-4,K.1^-3,K.1^3,K.1,K.1^-1,K.1^5,K.1^-5,K.1^-2,K.1^2,K.1^-3,K.1^2,K.1^3,K.1^5,K.1^4,K.1^-5,K.1^-4,K.1,K.1^-3,K.1^-5,K.1^4,K.1,K.1^-1,K.1^2,K.1^-2,K.1^5,K.1^-4,K.1^3,K.1^5,K.1^4,K.1^2,K.1^-2,K.1^-5,K.1^-4,K.1^3,K.1^-3,K.1,K.1^-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |1,1,1,1,1,1,K.1^5,K.1^-4,K.1,K.1^3,K.1^4,K.1^-1,K.1^-2,K.1^-5,K.1^-3,K.1^2,K.1,K.1^5,K.1^3,K.1^-4,K.1^-1,K.1^-5,K.1^2,K.1^-2,K.1^4,K.1^-3,K.1,K.1^2,K.1^-4,K.1^4,K.1^3,K.1^-3,K.1^-1,K.1,K.1^-5,K.1^5,K.1^2,K.1^-2,K.1^3,K.1^-2,K.1^-3,K.1^-5,K.1^-4,K.1^5,K.1^4,K.1^-1,K.1^3,K.1^5,K.1^-4,K.1^-1,K.1,K.1^-2,K.1^2,K.1^-5,K.1^4,K.1^-3,K.1^-5,K.1^-4,K.1^-2,K.1^2,K.1^5,K.1^4,K.1^-3,K.1^3,K.1^-1,K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |1,1,1,1,1,1,K.1^-4,K.1,K.1^-3,K.1^2,K.1^-1,K.1^3,K.1^-5,K.1^4,K.1^-2,K.1^5,K.1^-3,K.1^-4,K.1^2,K.1,K.1^3,K.1^4,K.1^5,K.1^-5,K.1^-1,K.1^-2,K.1^-3,K.1^5,K.1,K.1^-1,K.1^2,K.1^-2,K.1^3,K.1^-3,K.1^4,K.1^-4,K.1^5,K.1^-5,K.1^2,K.1^-5,K.1^-2,K.1^4,K.1,K.1^-4,K.1^-1,K.1^3,K.1^2,K.1^-4,K.1,K.1^3,K.1^-3,K.1^-5,K.1^5,K.1^4,K.1^-1,K.1^-2,K.1^4,K.1,K.1^-5,K.1^5,K.1^-4,K.1^-1,K.1^-2,K.1^2,K.1^3,K.1^-3]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |1,1,1,1,1,1,K.1^4,K.1^-1,K.1^3,K.1^-2,K.1,K.1^-3,K.1^5,K.1^-4,K.1^2,K.1^-5,K.1^3,K.1^4,K.1^-2,K.1^-1,K.1^-3,K.1^-4,K.1^-5,K.1^5,K.1,K.1^2,K.1^3,K.1^-5,K.1^-1,K.1,K.1^-2,K.1^2,K.1^-3,K.1^3,K.1^-4,K.1^4,K.1^-5,K.1^5,K.1^-2,K.1^5,K.1^2,K.1^-4,K.1^-1,K.1^4,K.1,K.1^-3,K.1^-2,K.1^4,K.1^-1,K.1^-3,K.1^3,K.1^5,K.1^-5,K.1^-4,K.1,K.1^2,K.1^-4,K.1^-1,K.1^5,K.1^-5,K.1^4,K.1,K.1^2,K.1^-2,K.1^-3,K.1^3]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |1,1,1,1,1,1,K.1^-3,K.1^-2,K.1^-5,K.1^-4,K.1^2,K.1^5,K.1^-1,K.1^3,K.1^4,K.1,K.1^-5,K.1^-3,K.1^-4,K.1^-2,K.1^5,K.1^3,K.1,K.1^-1,K.1^2,K.1^4,K.1^-5,K.1,K.1^-2,K.1^2,K.1^-4,K.1^4,K.1^5,K.1^-5,K.1^3,K.1^-3,K.1,K.1^-1,K.1^-4,K.1^-1,K.1^4,K.1^3,K.1^-2,K.1^-3,K.1^2,K.1^5,K.1^-4,K.1^-3,K.1^-2,K.1^5,K.1^-5,K.1^-1,K.1,K.1^3,K.1^2,K.1^4,K.1^3,K.1^-2,K.1^-1,K.1,K.1^-3,K.1^2,K.1^4,K.1^-4,K.1^5,K.1^-5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |1,1,1,1,1,1,K.1^3,K.1^2,K.1^5,K.1^4,K.1^-2,K.1^-5,K.1,K.1^-3,K.1^-4,K.1^-1,K.1^5,K.1^3,K.1^4,K.1^2,K.1^-5,K.1^-3,K.1^-1,K.1,K.1^-2,K.1^-4,K.1^5,K.1^-1,K.1^2,K.1^-2,K.1^4,K.1^-4,K.1^-5,K.1^5,K.1^-3,K.1^3,K.1^-1,K.1,K.1^4,K.1,K.1^-4,K.1^-3,K.1^2,K.1^3,K.1^-2,K.1^-5,K.1^4,K.1^3,K.1^2,K.1^-5,K.1^5,K.1,K.1^-1,K.1^-3,K.1^-2,K.1^-4,K.1^-3,K.1^2,K.1,K.1^-1,K.1^3,K.1^-2,K.1^-4,K.1^4,K.1^-5,K.1^5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |1,1,1,1,1,1,K.1^-2,K.1^-5,K.1^4,K.1,K.1^5,K.1^-4,K.1^3,K.1^2,K.1^-1,K.1^-3,K.1^4,K.1^-2,K.1,K.1^-5,K.1^-4,K.1^2,K.1^-3,K.1^3,K.1^5,K.1^-1,K.1^4,K.1^-3,K.1^-5,K.1^5,K.1,K.1^-1,K.1^-4,K.1^4,K.1^2,K.1^-2,K.1^-3,K.1^3,K.1,K.1^3,K.1^-1,K.1^2,K.1^-5,K.1^-2,K.1^5,K.1^-4,K.1,K.1^-2,K.1^-5,K.1^-4,K.1^4,K.1^3,K.1^-3,K.1^2,K.1^5,K.1^-1,K.1^2,K.1^-5,K.1^3,K.1^-3,K.1^-2,K.1^5,K.1^-1,K.1,K.1^-4,K.1^4]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |1,1,1,1,1,1,K.1^2,K.1^5,K.1^-4,K.1^-1,K.1^-5,K.1^4,K.1^-3,K.1^-2,K.1,K.1^3,K.1^-4,K.1^2,K.1^-1,K.1^5,K.1^4,K.1^-2,K.1^3,K.1^-3,K.1^-5,K.1,K.1^-4,K.1^3,K.1^5,K.1^-5,K.1^-1,K.1,K.1^4,K.1^-4,K.1^-2,K.1^2,K.1^3,K.1^-3,K.1^-1,K.1^-3,K.1,K.1^-2,K.1^5,K.1^2,K.1^-5,K.1^4,K.1^-1,K.1^2,K.1^5,K.1^4,K.1^-4,K.1^-3,K.1^3,K.1^-2,K.1^-5,K.1,K.1^-2,K.1^5,K.1^-3,K.1^3,K.1^2,K.1^-5,K.1,K.1^-1,K.1^4,K.1^-4]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |1,1,1,1,1,1,K.1^-1,K.1^3,K.1^2,K.1^-5,K.1^-3,K.1^-2,K.1^-4,K.1,K.1^5,K.1^4,K.1^2,K.1^-1,K.1^-5,K.1^3,K.1^-2,K.1,K.1^4,K.1^-4,K.1^-3,K.1^5,K.1^2,K.1^4,K.1^3,K.1^-3,K.1^-5,K.1^5,K.1^-2,K.1^2,K.1,K.1^-1,K.1^4,K.1^-4,K.1^-5,K.1^-4,K.1^5,K.1,K.1^3,K.1^-1,K.1^-3,K.1^-2,K.1^-5,K.1^-1,K.1^3,K.1^-2,K.1^2,K.1^-4,K.1^4,K.1,K.1^-3,K.1^5,K.1,K.1^3,K.1^-4,K.1^4,K.1^-1,K.1^-3,K.1^5,K.1^-5,K.1^-2,K.1^2]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |1,1,1,1,1,1,K.1,K.1^-3,K.1^-2,K.1^5,K.1^3,K.1^2,K.1^4,K.1^-1,K.1^-5,K.1^-4,K.1^-2,K.1,K.1^5,K.1^-3,K.1^2,K.1^-1,K.1^-4,K.1^4,K.1^3,K.1^-5,K.1^-2,K.1^-4,K.1^-3,K.1^3,K.1^5,K.1^-5,K.1^2,K.1^-2,K.1^-1,K.1,K.1^-4,K.1^4,K.1^5,K.1^4,K.1^-5,K.1^-1,K.1^-3,K.1,K.1^3,K.1^2,K.1^5,K.1,K.1^-3,K.1^2,K.1^-2,K.1^4,K.1^-4,K.1^-1,K.1^3,K.1^-5,K.1^-1,K.1^-3,K.1^4,K.1^-4,K.1,K.1^3,K.1^-5,K.1^5,K.1^2,K.1^-2]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |1,-1,-1,1,1,-1,K.1^-5,K.1^4,K.1^-1,K.1^-3,K.1^-4,K.1,K.1^2,K.1^5,K.1^3,K.1^-2,-1*K.1^-1,-1*K.1^-5,-1*K.1^-3,-1*K.1^4,-1*K.1,-1*K.1^5,-1*K.1^-2,-1*K.1^2,-1*K.1^-4,-1*K.1^3,K.1^-1,K.1^-2,-1*K.1^4,-1*K.1^-4,-1*K.1^-3,-1*K.1^3,-1*K.1,-1*K.1^-1,-1*K.1^5,-1*K.1^-5,-1*K.1^-2,-1*K.1^2,K.1^-3,K.1^2,K.1^3,K.1^5,K.1^4,K.1^-5,K.1^-4,K.1,K.1^-3,K.1^-5,K.1^4,K.1,K.1^-1,K.1^2,K.1^-2,K.1^5,K.1^-4,K.1^3,-1*K.1^5,-1*K.1^4,-1*K.1^2,-1*K.1^-2,-1*K.1^-5,-1*K.1^-4,-1*K.1^3,-1*K.1^-3,-1*K.1,-1*K.1^-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |1,-1,-1,1,1,-1,K.1^5,K.1^-4,K.1,K.1^3,K.1^4,K.1^-1,K.1^-2,K.1^-5,K.1^-3,K.1^2,-1*K.1,-1*K.1^5,-1*K.1^3,-1*K.1^-4,-1*K.1^-1,-1*K.1^-5,-1*K.1^2,-1*K.1^-2,-1*K.1^4,-1*K.1^-3,K.1,K.1^2,-1*K.1^-4,-1*K.1^4,-1*K.1^3,-1*K.1^-3,-1*K.1^-1,-1*K.1,-1*K.1^-5,-1*K.1^5,-1*K.1^2,-1*K.1^-2,K.1^3,K.1^-2,K.1^-3,K.1^-5,K.1^-4,K.1^5,K.1^4,K.1^-1,K.1^3,K.1^5,K.1^-4,K.1^-1,K.1,K.1^-2,K.1^2,K.1^-5,K.1^4,K.1^-3,-1*K.1^-5,-1*K.1^-4,-1*K.1^-2,-1*K.1^2,-1*K.1^5,-1*K.1^4,-1*K.1^-3,-1*K.1^3,-1*K.1^-1,-1*K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |1,-1,-1,1,1,-1,K.1^-4,K.1,K.1^-3,K.1^2,K.1^-1,K.1^3,K.1^-5,K.1^4,K.1^-2,K.1^5,-1*K.1^-3,-1*K.1^-4,-1*K.1^2,-1*K.1,-1*K.1^3,-1*K.1^4,-1*K.1^5,-1*K.1^-5,-1*K.1^-1,-1*K.1^-2,K.1^-3,K.1^5,-1*K.1,-1*K.1^-1,-1*K.1^2,-1*K.1^-2,-1*K.1^3,-1*K.1^-3,-1*K.1^4,-1*K.1^-4,-1*K.1^5,-1*K.1^-5,K.1^2,K.1^-5,K.1^-2,K.1^4,K.1,K.1^-4,K.1^-1,K.1^3,K.1^2,K.1^-4,K.1,K.1^3,K.1^-3,K.1^-5,K.1^5,K.1^4,K.1^-1,K.1^-2,-1*K.1^4,-1*K.1,-1*K.1^-5,-1*K.1^5,-1*K.1^-4,-1*K.1^-1,-1*K.1^-2,-1*K.1^2,-1*K.1^3,-1*K.1^-3]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |1,-1,-1,1,1,-1,K.1^4,K.1^-1,K.1^3,K.1^-2,K.1,K.1^-3,K.1^5,K.1^-4,K.1^2,K.1^-5,-1*K.1^3,-1*K.1^4,-1*K.1^-2,-1*K.1^-1,-1*K.1^-3,-1*K.1^-4,-1*K.1^-5,-1*K.1^5,-1*K.1,-1*K.1^2,K.1^3,K.1^-5,-1*K.1^-1,-1*K.1,-1*K.1^-2,-1*K.1^2,-1*K.1^-3,-1*K.1^3,-1*K.1^-4,-1*K.1^4,-1*K.1^-5,-1*K.1^5,K.1^-2,K.1^5,K.1^2,K.1^-4,K.1^-1,K.1^4,K.1,K.1^-3,K.1^-2,K.1^4,K.1^-1,K.1^-3,K.1^3,K.1^5,K.1^-5,K.1^-4,K.1,K.1^2,-1*K.1^-4,-1*K.1^-1,-1*K.1^5,-1*K.1^-5,-1*K.1^4,-1*K.1,-1*K.1^2,-1*K.1^-2,-1*K.1^-3,-1*K.1^3]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |1,-1,-1,1,1,-1,K.1^-3,K.1^-2,K.1^-5,K.1^-4,K.1^2,K.1^5,K.1^-1,K.1^3,K.1^4,K.1,-1*K.1^-5,-1*K.1^-3,-1*K.1^-4,-1*K.1^-2,-1*K.1^5,-1*K.1^3,-1*K.1,-1*K.1^-1,-1*K.1^2,-1*K.1^4,K.1^-5,K.1,-1*K.1^-2,-1*K.1^2,-1*K.1^-4,-1*K.1^4,-1*K.1^5,-1*K.1^-5,-1*K.1^3,-1*K.1^-3,-1*K.1,-1*K.1^-1,K.1^-4,K.1^-1,K.1^4,K.1^3,K.1^-2,K.1^-3,K.1^2,K.1^5,K.1^-4,K.1^-3,K.1^-2,K.1^5,K.1^-5,K.1^-1,K.1,K.1^3,K.1^2,K.1^4,-1*K.1^3,-1*K.1^-2,-1*K.1^-1,-1*K.1,-1*K.1^-3,-1*K.1^2,-1*K.1^4,-1*K.1^-4,-1*K.1^5,-1*K.1^-5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |1,-1,-1,1,1,-1,K.1^3,K.1^2,K.1^5,K.1^4,K.1^-2,K.1^-5,K.1,K.1^-3,K.1^-4,K.1^-1,-1*K.1^5,-1*K.1^3,-1*K.1^4,-1*K.1^2,-1*K.1^-5,-1*K.1^-3,-1*K.1^-1,-1*K.1,-1*K.1^-2,-1*K.1^-4,K.1^5,K.1^-1,-1*K.1^2,-1*K.1^-2,-1*K.1^4,-1*K.1^-4,-1*K.1^-5,-1*K.1^5,-1*K.1^-3,-1*K.1^3,-1*K.1^-1,-1*K.1,K.1^4,K.1,K.1^-4,K.1^-3,K.1^2,K.1^3,K.1^-2,K.1^-5,K.1^4,K.1^3,K.1^2,K.1^-5,K.1^5,K.1,K.1^-1,K.1^-3,K.1^-2,K.1^-4,-1*K.1^-3,-1*K.1^2,-1*K.1,-1*K.1^-1,-1*K.1^3,-1*K.1^-2,-1*K.1^-4,-1*K.1^4,-1*K.1^-5,-1*K.1^5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |1,-1,-1,1,1,-1,K.1^-2,K.1^-5,K.1^4,K.1,K.1^5,K.1^-4,K.1^3,K.1^2,K.1^-1,K.1^-3,-1*K.1^4,-1*K.1^-2,-1*K.1,-1*K.1^-5,-1*K.1^-4,-1*K.1^2,-1*K.1^-3,-1*K.1^3,-1*K.1^5,-1*K.1^-1,K.1^4,K.1^-3,-1*K.1^-5,-1*K.1^5,-1*K.1,-1*K.1^-1,-1*K.1^-4,-1*K.1^4,-1*K.1^2,-1*K.1^-2,-1*K.1^-3,-1*K.1^3,K.1,K.1^3,K.1^-1,K.1^2,K.1^-5,K.1^-2,K.1^5,K.1^-4,K.1,K.1^-2,K.1^-5,K.1^-4,K.1^4,K.1^3,K.1^-3,K.1^2,K.1^5,K.1^-1,-1*K.1^2,-1*K.1^-5,-1*K.1^3,-1*K.1^-3,-1*K.1^-2,-1*K.1^5,-1*K.1^-1,-1*K.1,-1*K.1^-4,-1*K.1^4]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |1,-1,-1,1,1,-1,K.1^2,K.1^5,K.1^-4,K.1^-1,K.1^-5,K.1^4,K.1^-3,K.1^-2,K.1,K.1^3,-1*K.1^-4,-1*K.1^2,-1*K.1^-1,-1*K.1^5,-1*K.1^4,-1*K.1^-2,-1*K.1^3,-1*K.1^-3,-1*K.1^-5,-1*K.1,K.1^-4,K.1^3,-1*K.1^5,-1*K.1^-5,-1*K.1^-1,-1*K.1,-1*K.1^4,-1*K.1^-4,-1*K.1^-2,-1*K.1^2,-1*K.1^3,-1*K.1^-3,K.1^-1,K.1^-3,K.1,K.1^-2,K.1^5,K.1^2,K.1^-5,K.1^4,K.1^-1,K.1^2,K.1^5,K.1^4,K.1^-4,K.1^-3,K.1^3,K.1^-2,K.1^-5,K.1,-1*K.1^-2,-1*K.1^5,-1*K.1^-3,-1*K.1^3,-1*K.1^2,-1*K.1^-5,-1*K.1,-1*K.1^-1,-1*K.1^4,-1*K.1^-4]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |1,-1,-1,1,1,-1,K.1^-1,K.1^3,K.1^2,K.1^-5,K.1^-3,K.1^-2,K.1^-4,K.1,K.1^5,K.1^4,-1*K.1^2,-1*K.1^-1,-1*K.1^-5,-1*K.1^3,-1*K.1^-2,-1*K.1,-1*K.1^4,-1*K.1^-4,-1*K.1^-3,-1*K.1^5,K.1^2,K.1^4,-1*K.1^3,-1*K.1^-3,-1*K.1^-5,-1*K.1^5,-1*K.1^-2,-1*K.1^2,-1*K.1,-1*K.1^-1,-1*K.1^4,-1*K.1^-4,K.1^-5,K.1^-4,K.1^5,K.1,K.1^3,K.1^-1,K.1^-3,K.1^-2,K.1^-5,K.1^-1,K.1^3,K.1^-2,K.1^2,K.1^-4,K.1^4,K.1,K.1^-3,K.1^5,-1*K.1,-1*K.1^3,-1*K.1^-4,-1*K.1^4,-1*K.1^-1,-1*K.1^-3,-1*K.1^5,-1*K.1^-5,-1*K.1^-2,-1*K.1^2]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |1,-1,-1,1,1,-1,K.1,K.1^-3,K.1^-2,K.1^5,K.1^3,K.1^2,K.1^4,K.1^-1,K.1^-5,K.1^-4,-1*K.1^-2,-1*K.1,-1*K.1^5,-1*K.1^-3,-1*K.1^2,-1*K.1^-1,-1*K.1^-4,-1*K.1^4,-1*K.1^3,-1*K.1^-5,K.1^-2,K.1^-4,-1*K.1^-3,-1*K.1^3,-1*K.1^5,-1*K.1^-5,-1*K.1^2,-1*K.1^-2,-1*K.1^-1,-1*K.1,-1*K.1^-4,-1*K.1^4,K.1^5,K.1^4,K.1^-5,K.1^-1,K.1^-3,K.1,K.1^3,K.1^2,K.1^5,K.1,K.1^-3,K.1^2,K.1^-2,K.1^4,K.1^-4,K.1^-1,K.1^3,K.1^-5,-1*K.1^-1,-1*K.1^-3,-1*K.1^4,-1*K.1^-4,-1*K.1,-1*K.1^3,-1*K.1^-5,-1*K.1^5,-1*K.1^2,-1*K.1^-2]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |1,-1,1,-1,1,-1,K.1^-5,K.1^4,K.1^-1,K.1^-3,K.1^-4,K.1,K.1^2,K.1^5,K.1^3,K.1^-2,-1*K.1^-1,-1*K.1^-5,-1*K.1^-3,-1*K.1^4,-1*K.1,-1*K.1^5,-1*K.1^-2,-1*K.1^2,-1*K.1^-4,-1*K.1^3,-1*K.1^-1,-1*K.1^-2,K.1^4,K.1^-4,K.1^-3,K.1^3,K.1,K.1^-1,K.1^5,K.1^-5,K.1^-2,K.1^2,-1*K.1^-3,-1*K.1^2,-1*K.1^3,-1*K.1^5,-1*K.1^4,-1*K.1^-5,-1*K.1^-4,-1*K.1,K.1^-3,K.1^-5,K.1^4,K.1,K.1^-1,K.1^2,K.1^-2,K.1^5,K.1^-4,K.1^3,-1*K.1^5,-1*K.1^4,-1*K.1^2,-1*K.1^-2,-1*K.1^-5,-1*K.1^-4,-1*K.1^3,-1*K.1^-3,-1*K.1,-1*K.1^-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |1,-1,1,-1,1,-1,K.1^5,K.1^-4,K.1,K.1^3,K.1^4,K.1^-1,K.1^-2,K.1^-5,K.1^-3,K.1^2,-1*K.1,-1*K.1^5,-1*K.1^3,-1*K.1^-4,-1*K.1^-1,-1*K.1^-5,-1*K.1^2,-1*K.1^-2,-1*K.1^4,-1*K.1^-3,-1*K.1,-1*K.1^2,K.1^-4,K.1^4,K.1^3,K.1^-3,K.1^-1,K.1,K.1^-5,K.1^5,K.1^2,K.1^-2,-1*K.1^3,-1*K.1^-2,-1*K.1^-3,-1*K.1^-5,-1*K.1^-4,-1*K.1^5,-1*K.1^4,-1*K.1^-1,K.1^3,K.1^5,K.1^-4,K.1^-1,K.1,K.1^-2,K.1^2,K.1^-5,K.1^4,K.1^-3,-1*K.1^-5,-1*K.1^-4,-1*K.1^-2,-1*K.1^2,-1*K.1^5,-1*K.1^4,-1*K.1^-3,-1*K.1^3,-1*K.1^-1,-1*K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |1,-1,1,-1,1,-1,K.1^-4,K.1,K.1^-3,K.1^2,K.1^-1,K.1^3,K.1^-5,K.1^4,K.1^-2,K.1^5,-1*K.1^-3,-1*K.1^-4,-1*K.1^2,-1*K.1,-1*K.1^3,-1*K.1^4,-1*K.1^5,-1*K.1^-5,-1*K.1^-1,-1*K.1^-2,-1*K.1^-3,-1*K.1^5,K.1,K.1^-1,K.1^2,K.1^-2,K.1^3,K.1^-3,K.1^4,K.1^-4,K.1^5,K.1^-5,-1*K.1^2,-1*K.1^-5,-1*K.1^-2,-1*K.1^4,-1*K.1,-1*K.1^-4,-1*K.1^-1,-1*K.1^3,K.1^2,K.1^-4,K.1,K.1^3,K.1^-3,K.1^-5,K.1^5,K.1^4,K.1^-1,K.1^-2,-1*K.1^4,-1*K.1,-1*K.1^-5,-1*K.1^5,-1*K.1^-4,-1*K.1^-1,-1*K.1^-2,-1*K.1^2,-1*K.1^3,-1*K.1^-3]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |1,-1,1,-1,1,-1,K.1^4,K.1^-1,K.1^3,K.1^-2,K.1,K.1^-3,K.1^5,K.1^-4,K.1^2,K.1^-5,-1*K.1^3,-1*K.1^4,-1*K.1^-2,-1*K.1^-1,-1*K.1^-3,-1*K.1^-4,-1*K.1^-5,-1*K.1^5,-1*K.1,-1*K.1^2,-1*K.1^3,-1*K.1^-5,K.1^-1,K.1,K.1^-2,K.1^2,K.1^-3,K.1^3,K.1^-4,K.1^4,K.1^-5,K.1^5,-1*K.1^-2,-1*K.1^5,-1*K.1^2,-1*K.1^-4,-1*K.1^-1,-1*K.1^4,-1*K.1,-1*K.1^-3,K.1^-2,K.1^4,K.1^-1,K.1^-3,K.1^3,K.1^5,K.1^-5,K.1^-4,K.1,K.1^2,-1*K.1^-4,-1*K.1^-1,-1*K.1^5,-1*K.1^-5,-1*K.1^4,-1*K.1,-1*K.1^2,-1*K.1^-2,-1*K.1^-3,-1*K.1^3]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |1,-1,1,-1,1,-1,K.1^-3,K.1^-2,K.1^-5,K.1^-4,K.1^2,K.1^5,K.1^-1,K.1^3,K.1^4,K.1,-1*K.1^-5,-1*K.1^-3,-1*K.1^-4,-1*K.1^-2,-1*K.1^5,-1*K.1^3,-1*K.1,-1*K.1^-1,-1*K.1^2,-1*K.1^4,-1*K.1^-5,-1*K.1,K.1^-2,K.1^2,K.1^-4,K.1^4,K.1^5,K.1^-5,K.1^3,K.1^-3,K.1,K.1^-1,-1*K.1^-4,-1*K.1^-1,-1*K.1^4,-1*K.1^3,-1*K.1^-2,-1*K.1^-3,-1*K.1^2,-1*K.1^5,K.1^-4,K.1^-3,K.1^-2,K.1^5,K.1^-5,K.1^-1,K.1,K.1^3,K.1^2,K.1^4,-1*K.1^3,-1*K.1^-2,-1*K.1^-1,-1*K.1,-1*K.1^-3,-1*K.1^2,-1*K.1^4,-1*K.1^-4,-1*K.1^5,-1*K.1^-5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |1,-1,1,-1,1,-1,K.1^3,K.1^2,K.1^5,K.1^4,K.1^-2,K.1^-5,K.1,K.1^-3,K.1^-4,K.1^-1,-1*K.1^5,-1*K.1^3,-1*K.1^4,-1*K.1^2,-1*K.1^-5,-1*K.1^-3,-1*K.1^-1,-1*K.1,-1*K.1^-2,-1*K.1^-4,-1*K.1^5,-1*K.1^-1,K.1^2,K.1^-2,K.1^4,K.1^-4,K.1^-5,K.1^5,K.1^-3,K.1^3,K.1^-1,K.1,-1*K.1^4,-1*K.1,-1*K.1^-4,-1*K.1^-3,-1*K.1^2,-1*K.1^3,-1*K.1^-2,-1*K.1^-5,K.1^4,K.1^3,K.1^2,K.1^-5,K.1^5,K.1,K.1^-1,K.1^-3,K.1^-2,K.1^-4,-1*K.1^-3,-1*K.1^2,-1*K.1,-1*K.1^-1,-1*K.1^3,-1*K.1^-2,-1*K.1^-4,-1*K.1^4,-1*K.1^-5,-1*K.1^5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |1,-1,1,-1,1,-1,K.1^-2,K.1^-5,K.1^4,K.1,K.1^5,K.1^-4,K.1^3,K.1^2,K.1^-1,K.1^-3,-1*K.1^4,-1*K.1^-2,-1*K.1,-1*K.1^-5,-1*K.1^-4,-1*K.1^2,-1*K.1^-3,-1*K.1^3,-1*K.1^5,-1*K.1^-1,-1*K.1^4,-1*K.1^-3,K.1^-5,K.1^5,K.1,K.1^-1,K.1^-4,K.1^4,K.1^2,K.1^-2,K.1^-3,K.1^3,-1*K.1,-1*K.1^3,-1*K.1^-1,-1*K.1^2,-1*K.1^-5,-1*K.1^-2,-1*K.1^5,-1*K.1^-4,K.1,K.1^-2,K.1^-5,K.1^-4,K.1^4,K.1^3,K.1^-3,K.1^2,K.1^5,K.1^-1,-1*K.1^2,-1*K.1^-5,-1*K.1^3,-1*K.1^-3,-1*K.1^-2,-1*K.1^5,-1*K.1^-1,-1*K.1,-1*K.1^-4,-1*K.1^4]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |1,-1,1,-1,1,-1,K.1^2,K.1^5,K.1^-4,K.1^-1,K.1^-5,K.1^4,K.1^-3,K.1^-2,K.1,K.1^3,-1*K.1^-4,-1*K.1^2,-1*K.1^-1,-1*K.1^5,-1*K.1^4,-1*K.1^-2,-1*K.1^3,-1*K.1^-3,-1*K.1^-5,-1*K.1,-1*K.1^-4,-1*K.1^3,K.1^5,K.1^-5,K.1^-1,K.1,K.1^4,K.1^-4,K.1^-2,K.1^2,K.1^3,K.1^-3,-1*K.1^-1,-1*K.1^-3,-1*K.1,-1*K.1^-2,-1*K.1^5,-1*K.1^2,-1*K.1^-5,-1*K.1^4,K.1^-1,K.1^2,K.1^5,K.1^4,K.1^-4,K.1^-3,K.1^3,K.1^-2,K.1^-5,K.1,-1*K.1^-2,-1*K.1^5,-1*K.1^-3,-1*K.1^3,-1*K.1^2,-1*K.1^-5,-1*K.1,-1*K.1^-1,-1*K.1^4,-1*K.1^-4]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |1,-1,1,-1,1,-1,K.1^-1,K.1^3,K.1^2,K.1^-5,K.1^-3,K.1^-2,K.1^-4,K.1,K.1^5,K.1^4,-1*K.1^2,-1*K.1^-1,-1*K.1^-5,-1*K.1^3,-1*K.1^-2,-1*K.1,-1*K.1^4,-1*K.1^-4,-1*K.1^-3,-1*K.1^5,-1*K.1^2,-1*K.1^4,K.1^3,K.1^-3,K.1^-5,K.1^5,K.1^-2,K.1^2,K.1,K.1^-1,K.1^4,K.1^-4,-1*K.1^-5,-1*K.1^-4,-1*K.1^5,-1*K.1,-1*K.1^3,-1*K.1^-1,-1*K.1^-3,-1*K.1^-2,K.1^-5,K.1^-1,K.1^3,K.1^-2,K.1^2,K.1^-4,K.1^4,K.1,K.1^-3,K.1^5,-1*K.1,-1*K.1^3,-1*K.1^-4,-1*K.1^4,-1*K.1^-1,-1*K.1^-3,-1*K.1^5,-1*K.1^-5,-1*K.1^-2,-1*K.1^2]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |1,-1,1,-1,1,-1,K.1,K.1^-3,K.1^-2,K.1^5,K.1^3,K.1^2,K.1^4,K.1^-1,K.1^-5,K.1^-4,-1*K.1^-2,-1*K.1,-1*K.1^5,-1*K.1^-3,-1*K.1^2,-1*K.1^-1,-1*K.1^-4,-1*K.1^4,-1*K.1^3,-1*K.1^-5,-1*K.1^-2,-1*K.1^-4,K.1^-3,K.1^3,K.1^5,K.1^-5,K.1^2,K.1^-2,K.1^-1,K.1,K.1^-4,K.1^4,-1*K.1^5,-1*K.1^4,-1*K.1^-5,-1*K.1^-1,-1*K.1^-3,-1*K.1,-1*K.1^3,-1*K.1^2,K.1^5,K.1,K.1^-3,K.1^2,K.1^-2,K.1^4,K.1^-4,K.1^-1,K.1^3,K.1^-5,-1*K.1^-1,-1*K.1^-3,-1*K.1^4,-1*K.1^-4,-1*K.1,-1*K.1^3,-1*K.1^-5,-1*K.1^5,-1*K.1^2,-1*K.1^-2]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |1,1,-1,-1,1,1,K.1^-5,K.1^4,K.1^-1,K.1^-3,K.1^-4,K.1,K.1^2,K.1^5,K.1^3,K.1^-2,K.1^-1,K.1^-5,K.1^-3,K.1^4,K.1,K.1^5,K.1^-2,K.1^2,K.1^-4,K.1^3,-1*K.1^-1,-1*K.1^-2,-1*K.1^4,-1*K.1^-4,-1*K.1^-3,-1*K.1^3,-1*K.1,-1*K.1^-1,-1*K.1^5,-1*K.1^-5,-1*K.1^-2,-1*K.1^2,-1*K.1^-3,-1*K.1^2,-1*K.1^3,-1*K.1^5,-1*K.1^4,-1*K.1^-5,-1*K.1^-4,-1*K.1,K.1^-3,K.1^-5,K.1^4,K.1,K.1^-1,K.1^2,K.1^-2,K.1^5,K.1^-4,K.1^3,K.1^5,K.1^4,K.1^2,K.1^-2,K.1^-5,K.1^-4,K.1^3,K.1^-3,K.1,K.1^-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |1,1,-1,-1,1,1,K.1^5,K.1^-4,K.1,K.1^3,K.1^4,K.1^-1,K.1^-2,K.1^-5,K.1^-3,K.1^2,K.1,K.1^5,K.1^3,K.1^-4,K.1^-1,K.1^-5,K.1^2,K.1^-2,K.1^4,K.1^-3,-1*K.1,-1*K.1^2,-1*K.1^-4,-1*K.1^4,-1*K.1^3,-1*K.1^-3,-1*K.1^-1,-1*K.1,-1*K.1^-5,-1*K.1^5,-1*K.1^2,-1*K.1^-2,-1*K.1^3,-1*K.1^-2,-1*K.1^-3,-1*K.1^-5,-1*K.1^-4,-1*K.1^5,-1*K.1^4,-1*K.1^-1,K.1^3,K.1^5,K.1^-4,K.1^-1,K.1,K.1^-2,K.1^2,K.1^-5,K.1^4,K.1^-3,K.1^-5,K.1^-4,K.1^-2,K.1^2,K.1^5,K.1^4,K.1^-3,K.1^3,K.1^-1,K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |1,1,-1,-1,1,1,K.1^-4,K.1,K.1^-3,K.1^2,K.1^-1,K.1^3,K.1^-5,K.1^4,K.1^-2,K.1^5,K.1^-3,K.1^-4,K.1^2,K.1,K.1^3,K.1^4,K.1^5,K.1^-5,K.1^-1,K.1^-2,-1*K.1^-3,-1*K.1^5,-1*K.1,-1*K.1^-1,-1*K.1^2,-1*K.1^-2,-1*K.1^3,-1*K.1^-3,-1*K.1^4,-1*K.1^-4,-1*K.1^5,-1*K.1^-5,-1*K.1^2,-1*K.1^-5,-1*K.1^-2,-1*K.1^4,-1*K.1,-1*K.1^-4,-1*K.1^-1,-1*K.1^3,K.1^2,K.1^-4,K.1,K.1^3,K.1^-3,K.1^-5,K.1^5,K.1^4,K.1^-1,K.1^-2,K.1^4,K.1,K.1^-5,K.1^5,K.1^-4,K.1^-1,K.1^-2,K.1^2,K.1^3,K.1^-3]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |1,1,-1,-1,1,1,K.1^4,K.1^-1,K.1^3,K.1^-2,K.1,K.1^-3,K.1^5,K.1^-4,K.1^2,K.1^-5,K.1^3,K.1^4,K.1^-2,K.1^-1,K.1^-3,K.1^-4,K.1^-5,K.1^5,K.1,K.1^2,-1*K.1^3,-1*K.1^-5,-1*K.1^-1,-1*K.1,-1*K.1^-2,-1*K.1^2,-1*K.1^-3,-1*K.1^3,-1*K.1^-4,-1*K.1^4,-1*K.1^-5,-1*K.1^5,-1*K.1^-2,-1*K.1^5,-1*K.1^2,-1*K.1^-4,-1*K.1^-1,-1*K.1^4,-1*K.1,-1*K.1^-3,K.1^-2,K.1^4,K.1^-1,K.1^-3,K.1^3,K.1^5,K.1^-5,K.1^-4,K.1,K.1^2,K.1^-4,K.1^-1,K.1^5,K.1^-5,K.1^4,K.1,K.1^2,K.1^-2,K.1^-3,K.1^3]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |1,1,-1,-1,1,1,K.1^-3,K.1^-2,K.1^-5,K.1^-4,K.1^2,K.1^5,K.1^-1,K.1^3,K.1^4,K.1,K.1^-5,K.1^-3,K.1^-4,K.1^-2,K.1^5,K.1^3,K.1,K.1^-1,K.1^2,K.1^4,-1*K.1^-5,-1*K.1,-1*K.1^-2,-1*K.1^2,-1*K.1^-4,-1*K.1^4,-1*K.1^5,-1*K.1^-5,-1*K.1^3,-1*K.1^-3,-1*K.1,-1*K.1^-1,-1*K.1^-4,-1*K.1^-1,-1*K.1^4,-1*K.1^3,-1*K.1^-2,-1*K.1^-3,-1*K.1^2,-1*K.1^5,K.1^-4,K.1^-3,K.1^-2,K.1^5,K.1^-5,K.1^-1,K.1,K.1^3,K.1^2,K.1^4,K.1^3,K.1^-2,K.1^-1,K.1,K.1^-3,K.1^2,K.1^4,K.1^-4,K.1^5,K.1^-5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |1,1,-1,-1,1,1,K.1^3,K.1^2,K.1^5,K.1^4,K.1^-2,K.1^-5,K.1,K.1^-3,K.1^-4,K.1^-1,K.1^5,K.1^3,K.1^4,K.1^2,K.1^-5,K.1^-3,K.1^-1,K.1,K.1^-2,K.1^-4,-1*K.1^5,-1*K.1^-1,-1*K.1^2,-1*K.1^-2,-1*K.1^4,-1*K.1^-4,-1*K.1^-5,-1*K.1^5,-1*K.1^-3,-1*K.1^3,-1*K.1^-1,-1*K.1,-1*K.1^4,-1*K.1,-1*K.1^-4,-1*K.1^-3,-1*K.1^2,-1*K.1^3,-1*K.1^-2,-1*K.1^-5,K.1^4,K.1^3,K.1^2,K.1^-5,K.1^5,K.1,K.1^-1,K.1^-3,K.1^-2,K.1^-4,K.1^-3,K.1^2,K.1,K.1^-1,K.1^3,K.1^-2,K.1^-4,K.1^4,K.1^-5,K.1^5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |1,1,-1,-1,1,1,K.1^-2,K.1^-5,K.1^4,K.1,K.1^5,K.1^-4,K.1^3,K.1^2,K.1^-1,K.1^-3,K.1^4,K.1^-2,K.1,K.1^-5,K.1^-4,K.1^2,K.1^-3,K.1^3,K.1^5,K.1^-1,-1*K.1^4,-1*K.1^-3,-1*K.1^-5,-1*K.1^5,-1*K.1,-1*K.1^-1,-1*K.1^-4,-1*K.1^4,-1*K.1^2,-1*K.1^-2,-1*K.1^-3,-1*K.1^3,-1*K.1,-1*K.1^3,-1*K.1^-1,-1*K.1^2,-1*K.1^-5,-1*K.1^-2,-1*K.1^5,-1*K.1^-4,K.1,K.1^-2,K.1^-5,K.1^-4,K.1^4,K.1^3,K.1^-3,K.1^2,K.1^5,K.1^-1,K.1^2,K.1^-5,K.1^3,K.1^-3,K.1^-2,K.1^5,K.1^-1,K.1,K.1^-4,K.1^4]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |1,1,-1,-1,1,1,K.1^2,K.1^5,K.1^-4,K.1^-1,K.1^-5,K.1^4,K.1^-3,K.1^-2,K.1,K.1^3,K.1^-4,K.1^2,K.1^-1,K.1^5,K.1^4,K.1^-2,K.1^3,K.1^-3,K.1^-5,K.1,-1*K.1^-4,-1*K.1^3,-1*K.1^5,-1*K.1^-5,-1*K.1^-1,-1*K.1,-1*K.1^4,-1*K.1^-4,-1*K.1^-2,-1*K.1^2,-1*K.1^3,-1*K.1^-3,-1*K.1^-1,-1*K.1^-3,-1*K.1,-1*K.1^-2,-1*K.1^5,-1*K.1^2,-1*K.1^-5,-1*K.1^4,K.1^-1,K.1^2,K.1^5,K.1^4,K.1^-4,K.1^-3,K.1^3,K.1^-2,K.1^-5,K.1,K.1^-2,K.1^5,K.1^-3,K.1^3,K.1^2,K.1^-5,K.1,K.1^-1,K.1^4,K.1^-4]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |1,1,-1,-1,1,1,K.1^-1,K.1^3,K.1^2,K.1^-5,K.1^-3,K.1^-2,K.1^-4,K.1,K.1^5,K.1^4,K.1^2,K.1^-1,K.1^-5,K.1^3,K.1^-2,K.1,K.1^4,K.1^-4,K.1^-3,K.1^5,-1*K.1^2,-1*K.1^4,-1*K.1^3,-1*K.1^-3,-1*K.1^-5,-1*K.1^5,-1*K.1^-2,-1*K.1^2,-1*K.1,-1*K.1^-1,-1*K.1^4,-1*K.1^-4,-1*K.1^-5,-1*K.1^-4,-1*K.1^5,-1*K.1,-1*K.1^3,-1*K.1^-1,-1*K.1^-3,-1*K.1^-2,K.1^-5,K.1^-1,K.1^3,K.1^-2,K.1^2,K.1^-4,K.1^4,K.1,K.1^-3,K.1^5,K.1,K.1^3,K.1^-4,K.1^4,K.1^-1,K.1^-3,K.1^5,K.1^-5,K.1^-2,K.1^2]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |1,1,-1,-1,1,1,K.1,K.1^-3,K.1^-2,K.1^5,K.1^3,K.1^2,K.1^4,K.1^-1,K.1^-5,K.1^-4,K.1^-2,K.1,K.1^5,K.1^-3,K.1^2,K.1^-1,K.1^-4,K.1^4,K.1^3,K.1^-5,-1*K.1^-2,-1*K.1^-4,-1*K.1^-3,-1*K.1^3,-1*K.1^5,-1*K.1^-5,-1*K.1^2,-1*K.1^-2,-1*K.1^-1,-1*K.1,-1*K.1^-4,-1*K.1^4,-1*K.1^5,-1*K.1^4,-1*K.1^-5,-1*K.1^-1,-1*K.1^-3,-1*K.1,-1*K.1^3,-1*K.1^2,K.1^5,K.1,K.1^-3,K.1^2,K.1^-2,K.1^4,K.1^-4,K.1^-1,K.1^3,K.1^-5,K.1^-1,K.1^-3,K.1^4,K.1^-4,K.1,K.1^3,K.1^-5,K.1^5,K.1^2,K.1^-2]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
x := CR!\[2, 2, 0, 0, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -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; 
x := CR!\[2, -2, 0, 0, -1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -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(11: Sparse := true);
S := [ K |2,2,0,0,-1,-1,2*K.1^-5,2*K.1^4,2*K.1^-1,2*K.1^-3,2*K.1^-4,2*K.1,2*K.1^2,2*K.1^5,2*K.1^3,2*K.1^-2,2*K.1^-1,2*K.1^-5,2*K.1^-3,2*K.1^4,2*K.1,2*K.1^5,2*K.1^-2,2*K.1^2,2*K.1^-4,2*K.1^3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1*K.1^-3,-1*K.1^-5,-1*K.1^4,-1*K.1,-1*K.1^-1,-1*K.1^2,-1*K.1^-2,-1*K.1^5,-1*K.1^-4,-1*K.1^3,-1*K.1^5,-1*K.1^4,-1*K.1^2,-1*K.1^-2,-1*K.1^-5,-1*K.1^-4,-1*K.1^3,-1*K.1^-3,-1*K.1,-1*K.1^-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |2,2,0,0,-1,-1,2*K.1^5,2*K.1^-4,2*K.1,2*K.1^3,2*K.1^4,2*K.1^-1,2*K.1^-2,2*K.1^-5,2*K.1^-3,2*K.1^2,2*K.1,2*K.1^5,2*K.1^3,2*K.1^-4,2*K.1^-1,2*K.1^-5,2*K.1^2,2*K.1^-2,2*K.1^4,2*K.1^-3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1*K.1^3,-1*K.1^5,-1*K.1^-4,-1*K.1^-1,-1*K.1,-1*K.1^-2,-1*K.1^2,-1*K.1^-5,-1*K.1^4,-1*K.1^-3,-1*K.1^-5,-1*K.1^-4,-1*K.1^-2,-1*K.1^2,-1*K.1^5,-1*K.1^4,-1*K.1^-3,-1*K.1^3,-1*K.1^-1,-1*K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |2,2,0,0,-1,-1,2*K.1^-4,2*K.1,2*K.1^-3,2*K.1^2,2*K.1^-1,2*K.1^3,2*K.1^-5,2*K.1^4,2*K.1^-2,2*K.1^5,2*K.1^-3,2*K.1^-4,2*K.1^2,2*K.1,2*K.1^3,2*K.1^4,2*K.1^5,2*K.1^-5,2*K.1^-1,2*K.1^-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1*K.1^2,-1*K.1^-4,-1*K.1,-1*K.1^3,-1*K.1^-3,-1*K.1^-5,-1*K.1^5,-1*K.1^4,-1*K.1^-1,-1*K.1^-2,-1*K.1^4,-1*K.1,-1*K.1^-5,-1*K.1^5,-1*K.1^-4,-1*K.1^-1,-1*K.1^-2,-1*K.1^2,-1*K.1^3,-1*K.1^-3]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |2,2,0,0,-1,-1,2*K.1^4,2*K.1^-1,2*K.1^3,2*K.1^-2,2*K.1,2*K.1^-3,2*K.1^5,2*K.1^-4,2*K.1^2,2*K.1^-5,2*K.1^3,2*K.1^4,2*K.1^-2,2*K.1^-1,2*K.1^-3,2*K.1^-4,2*K.1^-5,2*K.1^5,2*K.1,2*K.1^2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1*K.1^-2,-1*K.1^4,-1*K.1^-1,-1*K.1^-3,-1*K.1^3,-1*K.1^5,-1*K.1^-5,-1*K.1^-4,-1*K.1,-1*K.1^2,-1*K.1^-4,-1*K.1^-1,-1*K.1^5,-1*K.1^-5,-1*K.1^4,-1*K.1,-1*K.1^2,-1*K.1^-2,-1*K.1^-3,-1*K.1^3]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |2,2,0,0,-1,-1,2*K.1^-3,2*K.1^-2,2*K.1^-5,2*K.1^-4,2*K.1^2,2*K.1^5,2*K.1^-1,2*K.1^3,2*K.1^4,2*K.1,2*K.1^-5,2*K.1^-3,2*K.1^-4,2*K.1^-2,2*K.1^5,2*K.1^3,2*K.1,2*K.1^-1,2*K.1^2,2*K.1^4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1*K.1^-4,-1*K.1^-3,-1*K.1^-2,-1*K.1^5,-1*K.1^-5,-1*K.1^-1,-1*K.1,-1*K.1^3,-1*K.1^2,-1*K.1^4,-1*K.1^3,-1*K.1^-2,-1*K.1^-1,-1*K.1,-1*K.1^-3,-1*K.1^2,-1*K.1^4,-1*K.1^-4,-1*K.1^5,-1*K.1^-5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |2,2,0,0,-1,-1,2*K.1^3,2*K.1^2,2*K.1^5,2*K.1^4,2*K.1^-2,2*K.1^-5,2*K.1,2*K.1^-3,2*K.1^-4,2*K.1^-1,2*K.1^5,2*K.1^3,2*K.1^4,2*K.1^2,2*K.1^-5,2*K.1^-3,2*K.1^-1,2*K.1,2*K.1^-2,2*K.1^-4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1*K.1^4,-1*K.1^3,-1*K.1^2,-1*K.1^-5,-1*K.1^5,-1*K.1,-1*K.1^-1,-1*K.1^-3,-1*K.1^-2,-1*K.1^-4,-1*K.1^-3,-1*K.1^2,-1*K.1,-1*K.1^-1,-1*K.1^3,-1*K.1^-2,-1*K.1^-4,-1*K.1^4,-1*K.1^-5,-1*K.1^5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |2,2,0,0,-1,-1,2*K.1^-2,2*K.1^-5,2*K.1^4,2*K.1,2*K.1^5,2*K.1^-4,2*K.1^3,2*K.1^2,2*K.1^-1,2*K.1^-3,2*K.1^4,2*K.1^-2,2*K.1,2*K.1^-5,2*K.1^-4,2*K.1^2,2*K.1^-3,2*K.1^3,2*K.1^5,2*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1*K.1,-1*K.1^-2,-1*K.1^-5,-1*K.1^-4,-1*K.1^4,-1*K.1^3,-1*K.1^-3,-1*K.1^2,-1*K.1^5,-1*K.1^-1,-1*K.1^2,-1*K.1^-5,-1*K.1^3,-1*K.1^-3,-1*K.1^-2,-1*K.1^5,-1*K.1^-1,-1*K.1,-1*K.1^-4,-1*K.1^4]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |2,2,0,0,-1,-1,2*K.1^2,2*K.1^5,2*K.1^-4,2*K.1^-1,2*K.1^-5,2*K.1^4,2*K.1^-3,2*K.1^-2,2*K.1,2*K.1^3,2*K.1^-4,2*K.1^2,2*K.1^-1,2*K.1^5,2*K.1^4,2*K.1^-2,2*K.1^3,2*K.1^-3,2*K.1^-5,2*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1*K.1^-1,-1*K.1^2,-1*K.1^5,-1*K.1^4,-1*K.1^-4,-1*K.1^-3,-1*K.1^3,-1*K.1^-2,-1*K.1^-5,-1*K.1,-1*K.1^-2,-1*K.1^5,-1*K.1^-3,-1*K.1^3,-1*K.1^2,-1*K.1^-5,-1*K.1,-1*K.1^-1,-1*K.1^4,-1*K.1^-4]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |2,2,0,0,-1,-1,2*K.1^-1,2*K.1^3,2*K.1^2,2*K.1^-5,2*K.1^-3,2*K.1^-2,2*K.1^-4,2*K.1,2*K.1^5,2*K.1^4,2*K.1^2,2*K.1^-1,2*K.1^-5,2*K.1^3,2*K.1^-2,2*K.1,2*K.1^4,2*K.1^-4,2*K.1^-3,2*K.1^5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1*K.1^-5,-1*K.1^-1,-1*K.1^3,-1*K.1^-2,-1*K.1^2,-1*K.1^-4,-1*K.1^4,-1*K.1,-1*K.1^-3,-1*K.1^5,-1*K.1,-1*K.1^3,-1*K.1^-4,-1*K.1^4,-1*K.1^-1,-1*K.1^-3,-1*K.1^5,-1*K.1^-5,-1*K.1^-2,-1*K.1^2]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |2,2,0,0,-1,-1,2*K.1,2*K.1^-3,2*K.1^-2,2*K.1^5,2*K.1^3,2*K.1^2,2*K.1^4,2*K.1^-1,2*K.1^-5,2*K.1^-4,2*K.1^-2,2*K.1,2*K.1^5,2*K.1^-3,2*K.1^2,2*K.1^-1,2*K.1^-4,2*K.1^4,2*K.1^3,2*K.1^-5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1*K.1^5,-1*K.1,-1*K.1^-3,-1*K.1^2,-1*K.1^-2,-1*K.1^4,-1*K.1^-4,-1*K.1^-1,-1*K.1^3,-1*K.1^-5,-1*K.1^-1,-1*K.1^-3,-1*K.1^4,-1*K.1^-4,-1*K.1,-1*K.1^3,-1*K.1^-5,-1*K.1^5,-1*K.1^2,-1*K.1^-2]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |2,-2,0,0,-1,1,2*K.1^-5,2*K.1^4,2*K.1^-1,2*K.1^-3,2*K.1^-4,2*K.1,2*K.1^2,2*K.1^5,2*K.1^3,2*K.1^-2,-2*K.1^-1,-2*K.1^-5,-2*K.1^-3,-2*K.1^4,-2*K.1,-2*K.1^5,-2*K.1^-2,-2*K.1^2,-2*K.1^-4,-2*K.1^3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1*K.1^-3,-1*K.1^-5,-1*K.1^4,-1*K.1,-1*K.1^-1,-1*K.1^2,-1*K.1^-2,-1*K.1^5,-1*K.1^-4,-1*K.1^3,K.1^5,K.1^4,K.1^2,K.1^-2,K.1^-5,K.1^-4,K.1^3,K.1^-3,K.1,K.1^-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |2,-2,0,0,-1,1,2*K.1^5,2*K.1^-4,2*K.1,2*K.1^3,2*K.1^4,2*K.1^-1,2*K.1^-2,2*K.1^-5,2*K.1^-3,2*K.1^2,-2*K.1,-2*K.1^5,-2*K.1^3,-2*K.1^-4,-2*K.1^-1,-2*K.1^-5,-2*K.1^2,-2*K.1^-2,-2*K.1^4,-2*K.1^-3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1*K.1^3,-1*K.1^5,-1*K.1^-4,-1*K.1^-1,-1*K.1,-1*K.1^-2,-1*K.1^2,-1*K.1^-5,-1*K.1^4,-1*K.1^-3,K.1^-5,K.1^-4,K.1^-2,K.1^2,K.1^5,K.1^4,K.1^-3,K.1^3,K.1^-1,K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |2,-2,0,0,-1,1,2*K.1^-4,2*K.1,2*K.1^-3,2*K.1^2,2*K.1^-1,2*K.1^3,2*K.1^-5,2*K.1^4,2*K.1^-2,2*K.1^5,-2*K.1^-3,-2*K.1^-4,-2*K.1^2,-2*K.1,-2*K.1^3,-2*K.1^4,-2*K.1^5,-2*K.1^-5,-2*K.1^-1,-2*K.1^-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1*K.1^2,-1*K.1^-4,-1*K.1,-1*K.1^3,-1*K.1^-3,-1*K.1^-5,-1*K.1^5,-1*K.1^4,-1*K.1^-1,-1*K.1^-2,K.1^4,K.1,K.1^-5,K.1^5,K.1^-4,K.1^-1,K.1^-2,K.1^2,K.1^3,K.1^-3]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |2,-2,0,0,-1,1,2*K.1^4,2*K.1^-1,2*K.1^3,2*K.1^-2,2*K.1,2*K.1^-3,2*K.1^5,2*K.1^-4,2*K.1^2,2*K.1^-5,-2*K.1^3,-2*K.1^4,-2*K.1^-2,-2*K.1^-1,-2*K.1^-3,-2*K.1^-4,-2*K.1^-5,-2*K.1^5,-2*K.1,-2*K.1^2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1*K.1^-2,-1*K.1^4,-1*K.1^-1,-1*K.1^-3,-1*K.1^3,-1*K.1^5,-1*K.1^-5,-1*K.1^-4,-1*K.1,-1*K.1^2,K.1^-4,K.1^-1,K.1^5,K.1^-5,K.1^4,K.1,K.1^2,K.1^-2,K.1^-3,K.1^3]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |2,-2,0,0,-1,1,2*K.1^-3,2*K.1^-2,2*K.1^-5,2*K.1^-4,2*K.1^2,2*K.1^5,2*K.1^-1,2*K.1^3,2*K.1^4,2*K.1,-2*K.1^-5,-2*K.1^-3,-2*K.1^-4,-2*K.1^-2,-2*K.1^5,-2*K.1^3,-2*K.1,-2*K.1^-1,-2*K.1^2,-2*K.1^4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1*K.1^-4,-1*K.1^-3,-1*K.1^-2,-1*K.1^5,-1*K.1^-5,-1*K.1^-1,-1*K.1,-1*K.1^3,-1*K.1^2,-1*K.1^4,K.1^3,K.1^-2,K.1^-1,K.1,K.1^-3,K.1^2,K.1^4,K.1^-4,K.1^5,K.1^-5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |2,-2,0,0,-1,1,2*K.1^3,2*K.1^2,2*K.1^5,2*K.1^4,2*K.1^-2,2*K.1^-5,2*K.1,2*K.1^-3,2*K.1^-4,2*K.1^-1,-2*K.1^5,-2*K.1^3,-2*K.1^4,-2*K.1^2,-2*K.1^-5,-2*K.1^-3,-2*K.1^-1,-2*K.1,-2*K.1^-2,-2*K.1^-4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1*K.1^4,-1*K.1^3,-1*K.1^2,-1*K.1^-5,-1*K.1^5,-1*K.1,-1*K.1^-1,-1*K.1^-3,-1*K.1^-2,-1*K.1^-4,K.1^-3,K.1^2,K.1,K.1^-1,K.1^3,K.1^-2,K.1^-4,K.1^4,K.1^-5,K.1^5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |2,-2,0,0,-1,1,2*K.1^-2,2*K.1^-5,2*K.1^4,2*K.1,2*K.1^5,2*K.1^-4,2*K.1^3,2*K.1^2,2*K.1^-1,2*K.1^-3,-2*K.1^4,-2*K.1^-2,-2*K.1,-2*K.1^-5,-2*K.1^-4,-2*K.1^2,-2*K.1^-3,-2*K.1^3,-2*K.1^5,-2*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1*K.1,-1*K.1^-2,-1*K.1^-5,-1*K.1^-4,-1*K.1^4,-1*K.1^3,-1*K.1^-3,-1*K.1^2,-1*K.1^5,-1*K.1^-1,K.1^2,K.1^-5,K.1^3,K.1^-3,K.1^-2,K.1^5,K.1^-1,K.1,K.1^-4,K.1^4]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |2,-2,0,0,-1,1,2*K.1^2,2*K.1^5,2*K.1^-4,2*K.1^-1,2*K.1^-5,2*K.1^4,2*K.1^-3,2*K.1^-2,2*K.1,2*K.1^3,-2*K.1^-4,-2*K.1^2,-2*K.1^-1,-2*K.1^5,-2*K.1^4,-2*K.1^-2,-2*K.1^3,-2*K.1^-3,-2*K.1^-5,-2*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1*K.1^-1,-1*K.1^2,-1*K.1^5,-1*K.1^4,-1*K.1^-4,-1*K.1^-3,-1*K.1^3,-1*K.1^-2,-1*K.1^-5,-1*K.1,K.1^-2,K.1^5,K.1^-3,K.1^3,K.1^2,K.1^-5,K.1,K.1^-1,K.1^4,K.1^-4]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |2,-2,0,0,-1,1,2*K.1^-1,2*K.1^3,2*K.1^2,2*K.1^-5,2*K.1^-3,2*K.1^-2,2*K.1^-4,2*K.1,2*K.1^5,2*K.1^4,-2*K.1^2,-2*K.1^-1,-2*K.1^-5,-2*K.1^3,-2*K.1^-2,-2*K.1,-2*K.1^4,-2*K.1^-4,-2*K.1^-3,-2*K.1^5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1*K.1^-5,-1*K.1^-1,-1*K.1^3,-1*K.1^-2,-1*K.1^2,-1*K.1^-4,-1*K.1^4,-1*K.1,-1*K.1^-3,-1*K.1^5,K.1,K.1^3,K.1^-4,K.1^4,K.1^-1,K.1^-3,K.1^5,K.1^-5,K.1^-2,K.1^2]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |2,-2,0,0,-1,1,2*K.1,2*K.1^-3,2*K.1^-2,2*K.1^5,2*K.1^3,2*K.1^2,2*K.1^4,2*K.1^-1,2*K.1^-5,2*K.1^-4,-2*K.1^-2,-2*K.1,-2*K.1^5,-2*K.1^-3,-2*K.1^2,-2*K.1^-1,-2*K.1^-4,-2*K.1^4,-2*K.1^3,-2*K.1^-5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1*K.1^5,-1*K.1,-1*K.1^-3,-1*K.1^2,-1*K.1^-2,-1*K.1^4,-1*K.1^-4,-1*K.1^-1,-1*K.1^3,-1*K.1^-5,K.1^-1,K.1^-3,K.1^4,K.1^-4,K.1,K.1^3,K.1^-5,K.1^5,K.1^2,K.1^-2]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
_ := CharacterTable(G : Check := 0); 
chartbl_132_8:= KnownIrreducibles(CR);