/* Group 192.479 downloaded from the LMFDB on 30 September 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([7, -2, -2, -2, -2, -2, -2, -3, 14, 58, 80, 1699, 124, 1588]); a,b,c := Explode([GPC.1, GPC.3, GPC.6]); AssignNames(~GPC, ["a", "a2", "b", "b2", "b4", "c", "c2"]);
GPerm := PermutationGroup< 17 | (1,2)(4,5,6,7)(8,9,11,13,10,12,14,15)(16,17), (4,6)(5,7)(8,10)(9,12)(11,14)(13,15)(16,17), (4,7,6,5)(8,10)(9,12)(11,14)(13,15)(16,17), (4,6)(5,7)(8,11,10,14)(9,13,12,15), (4,6)(5,7), (8,10)(9,12)(11,14)(13,15), (1,2,3) >;
GLFp := MatrixGroup< 4, GF(5) | [[4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4], [1, 1, 4, 2, 3, 4, 4, 0, 4, 3, 0, 0, 3, 1, 3, 4], [0, 1, 2, 1, 2, 1, 2, 3, 1, 2, 3, 4, 4, 3, 3, 2], [2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2], [3, 3, 0, 4, 3, 0, 2, 2, 4, 3, 0, 1, 1, 2, 2, 1], [2, 2, 1, 4, 0, 1, 3, 3, 0, 0, 0, 4, 1, 2, 0, 4], [3, 3, 1, 3, 1, 1, 1, 4, 3, 1, 2, 2, 2, 4, 4, 4]] >;

 
/* Booleans */
RF := recformat< Agroup, Zgroup, abelian, almost_simple, cyclic, metabelian, metacyclic, monomial, nilpotent, perfect, quasisimple, rational, solvable, supersolvable  : BoolElt >; 
booleans_192_479 := rec< RF |  
Agroup := true,
Zgroup := false,
abelian := false,
almost_simple := false,
cyclic := false,
metabelian := true,
metacyclic := false,
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, c^3>,< 2, 1, b^4*c^3>,< 2, 1, a^2*c^3>,< 2, 1, a^2*b^4*c^3>,< 2, 1, b^4>,< 2, 1, a^2>,< 2, 1, a^2*b^4>,< 3, 2, c^2>,< 4, 1, b^2>,< 4, 1, b^6>,< 4, 1, a^2*b^2>,< 4, 1, a^2*b^6>,< 4, 1, b^6*c^3>,< 4, 1, b^2*c^3>,< 4, 1, a^3>,< 4, 1, a>,< 4, 1, a^3*c^3>,< 4, 1, a*c^3>,< 4, 1, a^2*b^6*c^3>,< 4, 1, a^2*b^2*c^3>,< 4, 1, a^3*b^4>,< 4, 1, a*b^4>,< 4, 1, a^3*b^4*c^3>,< 4, 1, a*b^4*c^3>,< 4, 1, a^3*b^6>,< 4, 1, a*b^2>,< 4, 1, a^3*b^6*c^3>,< 4, 1, a*b^2*c^3>,< 4, 1, a^3*b^2>,< 4, 1, a*b^6>,< 4, 1, a^3*b^2*c^3>,< 4, 1, a*b^6*c^3>,< 6, 2, c>,< 6, 2, b^4*c>,< 6, 2, a^2*c>,< 6, 2, a^2*b^4*c>,< 6, 2, b^4*c^4>,< 6, 2, a^2*c^4>,< 6, 2, a^2*b^4*c^4>,< 8, 3, b>,< 8, 3, b^7>,< 8, 3, b^3>,< 8, 3, b^5>,< 8, 3, b*c>,< 8, 3, b^7*c>,< 8, 3, b^3*c>,< 8, 3, b^5*c>,< 8, 3, a^2*b>,< 8, 3, a^2*b^7>,< 8, 3, a^2*b^3>,< 8, 3, a^2*b^5>,< 8, 3, a*b>,< 8, 3, a^3*b^7>,< 8, 3, a^3*b^3>,< 8, 3, a*b^5>,< 8, 3, a^2*b*c>,< 8, 3, a^2*b^7*c>,< 8, 3, a^2*b^3*c>,< 8, 3, a^2*b^5*c>,< 8, 3, a*b*c>,< 8, 3, a^3*b^7*c>,< 8, 3, a^3*b^3*c>,< 8, 3, a*b^5*c>,< 8, 3, a*b^3>,< 8, 3, a^3*b^5>,< 8, 3, a^3*b>,< 8, 3, a*b^7>,< 8, 3, a*b^3*c>,< 8, 3, a^3*b^5*c>,< 8, 3, a^3*b*c>,< 8, 3, a*b^7*c>,< 12, 2, b^2*c^2>,< 12, 2, b^6*c^2>,< 12, 2, b^2*c>,< 12, 2, b^6*c>,< 12, 2, a*c^2>,< 12, 2, a^3*c^2>,< 12, 2, a*c>,< 12, 2, a^3*c>,< 12, 2, a^2*b^2*c^2>,< 12, 2, a^2*b^6*c^2>,< 12, 2, a^2*b^2*c>,< 12, 2, a^2*b^6*c>,< 12, 2, a*b^4*c^2>,< 12, 2, a^3*b^4*c^2>,< 12, 2, a*b^4*c>,< 12, 2, a^3*b^4*c>,< 12, 2, a*b^2*c^2>,< 12, 2, a^3*b^6*c^2>,< 12, 2, a*b^2*c>,< 12, 2, a^3*b^6*c>,< 12, 2, a*b^6*c^2>,< 12, 2, a^3*b^2*c^2>,< 12, 2, a*b^6*c>,< 12, 2, a^3*b^2*c>]); 
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]; 
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, -1, 1, 1, -1, 1, 1, -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, 1, -1, -1, 1, -1, -1, -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, 1, -1, -1, 1, 1, -1, -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, -1, 1, 1, -1, -1, 1, -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, 1, 1, 1, 1, -1, 1, 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, -1, -1, -1, -1, 1, -1, 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, -1, -1, -1, -1, -1, -1, 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(4: Sparse := true);
S := [ K |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,-1*K.1,-1*K.1,K.1,K.1,K.1,K.1,-1,1,-1*K.1,-1*K.1,K.1,K.1,K.1,K.1,1,1,-1,-1,1,-1,-1,-1,-1*K.1,1,-1*K.1,1,-1,1,-1,1,-1,1,-1*K.1,-1,-1*K.1,-1,-1,K.1,K.1,K.1,K.1,1,-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,K.1,K.1,K.1,1,-1,-1*K.1,-1*K.1,-1,-1*K.1,K.1,-1*K.1,1,K.1,1,-1,K.1,-1*K.1,K.1,-1,-1*K.1,-1*K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |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,K.1,-1*K.1,-1*K.1,-1*K.1,-1*K.1,-1,1,K.1,K.1,-1*K.1,-1*K.1,-1*K.1,-1*K.1,1,1,-1,-1,1,-1,-1,-1,K.1,1,K.1,1,-1,1,-1,1,-1,1,K.1,-1,K.1,-1,-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,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,-1*K.1,1,-1,-1*K.1,K.1,-1*K.1,-1,K.1,K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |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,-1*K.1,-1*K.1,K.1,K.1,K.1,K.1,-1,1,-1*K.1,-1*K.1,K.1,K.1,K.1,K.1,1,1,-1,-1,1,-1,-1,1,K.1,-1,K.1,-1,1,-1,1,-1,1,-1,K.1,1,K.1,1,1,-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,K.1,1,K.1,1,K.1,-1*K.1,K.1,K.1,K.1,1,-1,-1*K.1,-1*K.1,-1,-1*K.1,K.1,-1*K.1,1,K.1,1,-1,K.1,-1*K.1,K.1,-1,-1*K.1,-1*K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |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,K.1,-1*K.1,-1*K.1,-1*K.1,-1*K.1,-1,1,K.1,K.1,-1*K.1,-1*K.1,-1*K.1,-1*K.1,1,1,-1,-1,1,-1,-1,1,-1*K.1,-1,-1*K.1,-1,1,-1,1,-1,1,-1,-1*K.1,1,-1*K.1,1,1,K.1,K.1,K.1,K.1,-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,-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,-1*K.1,1,-1,-1*K.1,K.1,-1*K.1,-1,K.1,K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |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,K.1,K.1,K.1,-1*K.1,-1*K.1,1,-1,K.1,K.1,-1*K.1,-1*K.1,K.1,K.1,1,1,-1,-1,1,-1,-1,-1*K.1,-1,-1*K.1,-1,K.1,K.1,-1*K.1,K.1,K.1,K.1,K.1,1,-1*K.1,-1,-1*K.1,K.1,-1,-1,1,1,-1*K.1,-1,1,K.1,-1*K.1,-1,1,-1,1,1,-1*K.1,1,-1,K.1,K.1,K.1,K.1,-1*K.1,-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,-1*K.1,1,-1*K.1,K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |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,-1*K.1,-1*K.1,K.1,K.1,1,-1,-1*K.1,-1*K.1,K.1,K.1,-1*K.1,-1*K.1,1,1,-1,-1,1,-1,-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,-1,K.1,-1*K.1,-1,-1,1,1,K.1,-1,1,-1*K.1,K.1,-1,1,-1,1,1,K.1,1,-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,K.1,K.1,-1,-1*K.1,-1,1,K.1,K.1,K.1,1,K.1,-1*K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |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,K.1,K.1,K.1,-1*K.1,-1*K.1,1,-1,K.1,K.1,-1*K.1,-1*K.1,K.1,K.1,1,1,-1,-1,1,-1,-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.1,1,K.1,-1*K.1,1,1,-1,-1,K.1,1,-1,-1*K.1,K.1,1,-1,1,-1,-1,K.1,-1,-1,K.1,K.1,K.1,K.1,-1*K.1,-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,-1*K.1,1,-1*K.1,K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |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,-1*K.1,-1*K.1,K.1,K.1,1,-1,-1*K.1,-1*K.1,K.1,K.1,-1*K.1,-1*K.1,1,1,-1,-1,1,-1,-1,-1*K.1,1,-1*K.1,1,K.1,K.1,-1*K.1,K.1,K.1,K.1,K.1,-1,-1*K.1,1,-1*K.1,K.1,1,1,-1,-1,-1*K.1,1,-1,K.1,-1*K.1,1,-1,1,-1,-1,-1*K.1,-1,-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,K.1,K.1,-1,-1*K.1,-1,1,K.1,K.1,K.1,1,K.1,-1*K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |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,K.1,K.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,-1,-1,-1,1,1,1,K.1,-1,-1*K.1,1,-1*K.1,-1*K.1,-1*K.1,K.1,-1*K.1,-1*K.1,K.1,1,-1*K.1,1,K.1,K.1,-1,1,-1,1,K.1,-1,-1,K.1,K.1,-1,1,1,-1,1,-1*K.1,-1,1,-1*K.1,-1*K.1,K.1,K.1,K.1,-1,-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,-1,-1*K.1,K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |1,-1,1,1,-1,-1,-1,1,1,-1,-1,1,1,-1,K.1,1,-1*K.1,-1*K.1,K.1,-1*K.1,-1*K.1,-1*K.1,-1*K.1,K.1,K.1,1,-1,K.1,K.1,-1*K.1,-1*K.1,K.1,K.1,-1,-1,-1,-1,1,1,1,-1*K.1,-1,K.1,1,K.1,K.1,K.1,-1*K.1,K.1,K.1,-1*K.1,1,K.1,1,-1*K.1,-1*K.1,-1,1,-1,1,-1*K.1,-1,-1,-1*K.1,-1*K.1,-1,1,1,-1,1,K.1,-1,1,K.1,K.1,-1*K.1,-1*K.1,-1*K.1,-1,-1,-1*K.1,K.1,1,-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]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |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,K.1,K.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,-1,-1,-1,1,1,1,-1*K.1,1,K.1,-1,K.1,K.1,K.1,-1*K.1,K.1,K.1,-1*K.1,-1,K.1,-1,-1*K.1,-1*K.1,1,-1,1,-1,-1*K.1,1,1,-1*K.1,-1*K.1,1,-1,-1,1,-1,K.1,1,1,-1*K.1,-1*K.1,K.1,K.1,K.1,-1,-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,-1,-1*K.1,K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |1,-1,1,1,-1,-1,-1,1,1,-1,-1,1,1,-1,K.1,1,-1*K.1,-1*K.1,K.1,-1*K.1,-1*K.1,-1*K.1,-1*K.1,K.1,K.1,1,-1,K.1,K.1,-1*K.1,-1*K.1,K.1,K.1,-1,-1,-1,-1,1,1,1,K.1,1,-1*K.1,-1,-1*K.1,-1*K.1,-1*K.1,K.1,-1*K.1,-1*K.1,K.1,-1,-1*K.1,-1,K.1,K.1,1,-1,1,-1,K.1,1,1,K.1,K.1,1,-1,-1,1,-1,-1*K.1,1,1,K.1,K.1,-1*K.1,-1*K.1,-1*K.1,-1,-1,-1*K.1,K.1,1,-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]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |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,K.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,-1,-1,-1,1,1,1,-1,K.1,-1,-1*K.1,1,-1,-1,1,1,-1,-1,K.1,1,-1*K.1,-1,1,-1*K.1,K.1,K.1,-1*K.1,1,K.1,-1*K.1,-1,1,-1*K.1,-1*K.1,K.1,K.1,K.1,1,-1*K.1,-1,-1*K.1,K.1,K.1,K.1,-1*K.1,1,1,-1*K.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]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |1,-1,1,1,-1,-1,-1,1,1,1,1,-1,-1,1,K.1,-1,-1*K.1,-1*K.1,K.1,K.1,K.1,-1*K.1,-1*K.1,-1*K.1,-1*K.1,-1,1,-1*K.1,-1*K.1,K.1,K.1,K.1,K.1,-1,-1,-1,-1,1,1,1,-1,-1*K.1,-1,K.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*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,-1*K.1,-1*K.1,K.1,1,1,K.1,-1*K.1,-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,K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |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,K.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,-1,-1,-1,1,1,1,1,-1*K.1,1,K.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*K.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,K.1,K.1,K.1,-1*K.1,1,1,-1*K.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]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |1,-1,1,1,-1,-1,-1,1,1,1,1,-1,-1,1,K.1,-1,-1*K.1,-1*K.1,K.1,K.1,K.1,-1*K.1,-1*K.1,-1*K.1,-1*K.1,-1,1,-1*K.1,-1*K.1,K.1,K.1,K.1,K.1,-1,-1,-1,-1,1,1,1,1,K.1,1,-1*K.1,-1,1,1,-1,-1,1,1,K.1,-1,-1*K.1,1,-1,-1*K.1,K.1,K.1,-1*K.1,-1,K.1,-1*K.1,1,-1,-1*K.1,-1*K.1,K.1,K.1,K.1,-1,-1*K.1,-1,K.1,-1*K.1,-1*K.1,-1*K.1,K.1,1,1,K.1,-1*K.1,-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,K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: 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,-1,1,1,-1,-1,1,1,1,-1,-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,K.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,K.1,K.1,K.1,K.1,K.1,-1*K.1,K.1,K.1,-1*K.1,-1*K.1,K.1,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]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: 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,-1,1,1,-1,-1,1,1,1,-1,-1,K.1,-1*K.1,K.1,K.1,K.1,-1*K.1,K.1,K.1,K.1,-1*K.1,-1*K.1,K.1,-1*K.1,K.1,K.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,-1*K.1,K.1,-1*K.1,-1*K.1,K.1,K.1,-1*K.1,-1*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]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: 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,-1,1,1,1,1,-1,-1,-1,-1,1,1,1,-1,-1,-1*K.1,-1*K.1,-1*K.1,K.1,-1*K.1,K.1,-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,K.1,-1*K.1,K.1,-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,-1*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]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: 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,-1,1,1,1,1,-1,-1,-1,-1,1,1,1,-1,-1,K.1,K.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,-1*K.1,-1*K.1,K.1,K.1,-1*K.1,K.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,-1*K.1,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]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: 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,-1,1,1,1,1,-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,K.1,-1*K.1,K.1,-1*K.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,-1*K.1,K.1,-1*K.1,K.1,K.1,-1*K.1,K.1,-1*K.1,K.1,-1*K.1,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]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: 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,-1,1,1,1,1,-1,-1,1,1,1,1,1,1,1,K.1,K.1,-1*K.1,K.1,K.1,-1*K.1,-1*K.1,-1*K.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,K.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*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]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: 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,-1,1,1,1,1,1,1,1,1,1,-1*K.1,K.1,K.1,K.1,-1*K.1,K.1,K.1,K.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*K.1,K.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,-1*K.1,-1*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]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: 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,-1,1,1,1,1,1,1,1,1,1,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*K.1,K.1,K.1,K.1,-1*K.1,K.1,-1*K.1,K.1,K.1,-1*K.1,-1*K.1,-1*K.1,-1*K.1,K.1,K.1,-1*K.1,K.1,-1*K.1,K.1,-1*K.1,K.1,K.1,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]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |1,-1,-1,-1,1,-1,1,1,1,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,K.1^2,K.1^2,K.1^2,K.1^2,-1*K.1^2,-1*K.1^2,-1,1,K.1^2,-1*K.1^2,1,-1,-1*K.1^2,-1*K.1^2,-1,1,1,-1,K.1^2,-1*K.1^2,1,-1,1,-1,-1,1,-1,K.1^3,-1*K.1^3,K.1,-1*K.1^3,-1*K.1^3,-1*K.1,-1*K.1,-1*K.1,K.1^3,K.1,K.1^3,-1*K.1,K.1^3,K.1^3,-1*K.1^3,K.1,-1*K.1,-1*K.1,K.1^3,K.1^3,-1*K.1,K.1^3,-1*K.1,-1*K.1^3,K.1,K.1,-1*K.1^3,K.1,-1*K.1^3,K.1,-1*K.1^3,K.1,-1*K.1^2,-1*K.1^2,1,-1*K.1^2,K.1^2,-1,K.1^2,K.1^2,-1,-1,K.1^2,-1*K.1^2,1,K.1^2,K.1^2,K.1^2,-1*K.1^2,-1*K.1^2,-1,-1*K.1^2,1,-1*K.1^2,K.1^2,1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |1,-1,-1,-1,1,-1,1,1,1,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,K.1^2,-1,1,-1*K.1^2,K.1^2,1,-1,K.1^2,K.1^2,-1,1,1,-1,-1*K.1^2,K.1^2,1,-1,1,-1,-1,1,-1,-1*K.1,K.1,-1*K.1^3,K.1,K.1,K.1^3,K.1^3,K.1^3,-1*K.1,-1*K.1^3,-1*K.1,K.1^3,-1*K.1,-1*K.1,K.1,-1*K.1^3,K.1^3,K.1^3,-1*K.1,-1*K.1,K.1^3,-1*K.1,K.1^3,K.1,-1*K.1^3,-1*K.1^3,K.1,-1*K.1^3,K.1,-1*K.1^3,K.1,-1*K.1^3,K.1^2,K.1^2,1,K.1^2,-1*K.1^2,-1,-1*K.1^2,-1*K.1^2,-1,-1,-1*K.1^2,K.1^2,1,-1*K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,K.1^2,-1,K.1^2,1,K.1^2,-1*K.1^2,1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |1,-1,-1,-1,1,-1,1,1,1,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,K.1^2,K.1^2,K.1^2,K.1^2,-1*K.1^2,-1*K.1^2,-1,1,K.1^2,-1*K.1^2,1,-1,-1*K.1^2,-1*K.1^2,-1,1,1,-1,K.1^2,-1*K.1^2,1,-1,1,-1,-1,1,-1,-1*K.1^3,K.1^3,-1*K.1,K.1^3,K.1^3,K.1,K.1,K.1,-1*K.1^3,-1*K.1,-1*K.1^3,K.1,-1*K.1^3,-1*K.1^3,K.1^3,-1*K.1,K.1,K.1,-1*K.1^3,-1*K.1^3,K.1,-1*K.1^3,K.1,K.1^3,-1*K.1,-1*K.1,K.1^3,-1*K.1,K.1^3,-1*K.1,K.1^3,-1*K.1,-1*K.1^2,-1*K.1^2,1,-1*K.1^2,K.1^2,-1,K.1^2,K.1^2,-1,-1,K.1^2,-1*K.1^2,1,K.1^2,K.1^2,K.1^2,-1*K.1^2,-1*K.1^2,-1,-1*K.1^2,1,-1*K.1^2,K.1^2,1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |1,-1,-1,-1,1,-1,1,1,1,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,K.1^2,-1,1,-1*K.1^2,K.1^2,1,-1,K.1^2,K.1^2,-1,1,1,-1,-1*K.1^2,K.1^2,1,-1,1,-1,-1,1,-1,K.1,-1*K.1,K.1^3,-1*K.1,-1*K.1,-1*K.1^3,-1*K.1^3,-1*K.1^3,K.1,K.1^3,K.1,-1*K.1^3,K.1,K.1,-1*K.1,K.1^3,-1*K.1^3,-1*K.1^3,K.1,K.1,-1*K.1^3,K.1,-1*K.1^3,-1*K.1,K.1^3,K.1^3,-1*K.1,K.1^3,-1*K.1,K.1^3,-1*K.1,K.1^3,K.1^2,K.1^2,1,K.1^2,-1*K.1^2,-1,-1*K.1^2,-1*K.1^2,-1,-1,-1*K.1^2,K.1^2,1,-1*K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,K.1^2,-1,K.1^2,1,K.1^2,-1*K.1^2,1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |1,-1,-1,-1,1,-1,1,1,1,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,K.1^2,1,-1,-1*K.1^2,K.1^2,-1,1,-1*K.1^2,-1*K.1^2,1,-1,-1,1,-1*K.1^2,K.1^2,1,-1,1,-1,-1,1,-1,K.1^3,K.1^3,K.1,K.1^3,-1*K.1^3,-1*K.1,-1*K.1,-1*K.1,K.1^3,K.1,K.1^3,K.1,K.1^3,-1*K.1^3,-1*K.1^3,K.1,K.1,K.1,-1*K.1^3,-1*K.1^3,-1*K.1,-1*K.1^3,K.1,-1*K.1^3,K.1,-1*K.1,K.1^3,-1*K.1,K.1^3,-1*K.1,-1*K.1^3,-1*K.1,-1*K.1^2,K.1^2,-1,K.1^2,-1*K.1^2,1,K.1^2,K.1^2,1,1,K.1^2,K.1^2,-1,-1*K.1^2,K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^2,1,K.1^2,-1,-1*K.1^2,-1*K.1^2,-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |1,-1,-1,-1,1,-1,1,1,1,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,-1*K.1^2,1,-1,K.1^2,-1*K.1^2,-1,1,K.1^2,K.1^2,1,-1,-1,1,K.1^2,-1*K.1^2,1,-1,1,-1,-1,1,-1,-1*K.1,-1*K.1,-1*K.1^3,-1*K.1,K.1,K.1^3,K.1^3,K.1^3,-1*K.1,-1*K.1^3,-1*K.1,-1*K.1^3,-1*K.1,K.1,K.1,-1*K.1^3,-1*K.1^3,-1*K.1^3,K.1,K.1,K.1^3,K.1,-1*K.1^3,K.1,-1*K.1^3,K.1^3,-1*K.1,K.1^3,-1*K.1,K.1^3,K.1,K.1^3,K.1^2,-1*K.1^2,-1,-1*K.1^2,K.1^2,1,-1*K.1^2,-1*K.1^2,1,1,-1*K.1^2,-1*K.1^2,-1,K.1^2,-1*K.1^2,K.1^2,K.1^2,K.1^2,1,-1*K.1^2,-1,K.1^2,K.1^2,-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |1,-1,-1,-1,1,-1,1,1,1,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,K.1^2,1,-1,-1*K.1^2,K.1^2,-1,1,-1*K.1^2,-1*K.1^2,1,-1,-1,1,-1*K.1^2,K.1^2,1,-1,1,-1,-1,1,-1,-1*K.1^3,-1*K.1^3,-1*K.1,-1*K.1^3,K.1^3,K.1,K.1,K.1,-1*K.1^3,-1*K.1,-1*K.1^3,-1*K.1,-1*K.1^3,K.1^3,K.1^3,-1*K.1,-1*K.1,-1*K.1,K.1^3,K.1^3,K.1,K.1^3,-1*K.1,K.1^3,-1*K.1,K.1,-1*K.1^3,K.1,-1*K.1^3,K.1,K.1^3,K.1,-1*K.1^2,K.1^2,-1,K.1^2,-1*K.1^2,1,K.1^2,K.1^2,1,1,K.1^2,K.1^2,-1,-1*K.1^2,K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^2,1,K.1^2,-1,-1*K.1^2,-1*K.1^2,-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |1,-1,-1,-1,1,-1,1,1,1,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,-1*K.1^2,1,-1,K.1^2,-1*K.1^2,-1,1,K.1^2,K.1^2,1,-1,-1,1,K.1^2,-1*K.1^2,1,-1,1,-1,-1,1,-1,K.1,K.1,K.1^3,K.1,-1*K.1,-1*K.1^3,-1*K.1^3,-1*K.1^3,K.1,K.1^3,K.1,K.1^3,K.1,-1*K.1,-1*K.1,K.1^3,K.1^3,K.1^3,-1*K.1,-1*K.1,-1*K.1^3,-1*K.1,K.1^3,-1*K.1,K.1^3,-1*K.1^3,K.1,-1*K.1^3,K.1,-1*K.1^3,-1*K.1,-1*K.1^3,K.1^2,-1*K.1^2,-1,-1*K.1^2,K.1^2,1,-1*K.1^2,-1*K.1^2,1,1,-1*K.1^2,-1*K.1^2,-1,K.1^2,-1*K.1^2,K.1^2,K.1^2,K.1^2,1,-1*K.1^2,-1,K.1^2,K.1^2,-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |1,-1,1,-1,1,1,-1,-1,1,-1*K.1^2,K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,K.1^2,-1*K.1^2,K.1^2,-1,1,-1*K.1^2,K.1^2,1,-1,K.1^2,K.1^2,1,-1,-1,1,K.1^2,-1*K.1^2,-1,1,1,-1,-1,-1,1,-1*K.1,-1*K.1,K.1^3,K.1,K.1,K.1^3,-1*K.1^3,-1*K.1^3,-1*K.1,-1*K.1^3,K.1,-1*K.1^3,K.1,-1*K.1,K.1,K.1^3,-1*K.1^3,K.1^3,-1*K.1,K.1,K.1^3,K.1,K.1^3,-1*K.1,-1*K.1^3,K.1^3,-1*K.1,-1*K.1^3,K.1,K.1^3,-1*K.1,-1*K.1^3,-1*K.1^2,-1*K.1^2,-1,K.1^2,-1*K.1^2,1,-1*K.1^2,K.1^2,-1,1,-1*K.1^2,-1*K.1^2,-1,K.1^2,K.1^2,K.1^2,K.1^2,K.1^2,-1,K.1^2,1,-1*K.1^2,-1*K.1^2,1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |1,-1,1,-1,1,1,-1,-1,1,K.1^2,-1*K.1^2,K.1^2,K.1^2,K.1^2,K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,-1,1,K.1^2,-1*K.1^2,1,-1,-1*K.1^2,-1*K.1^2,1,-1,-1,1,-1*K.1^2,K.1^2,-1,1,1,-1,-1,-1,1,K.1^3,K.1^3,-1*K.1,-1*K.1^3,-1*K.1^3,-1*K.1,K.1,K.1,K.1^3,K.1,-1*K.1^3,K.1,-1*K.1^3,K.1^3,-1*K.1^3,-1*K.1,K.1,-1*K.1,K.1^3,-1*K.1^3,-1*K.1,-1*K.1^3,-1*K.1,K.1^3,K.1,-1*K.1,K.1^3,K.1,-1*K.1^3,-1*K.1,K.1^3,K.1,K.1^2,K.1^2,-1,-1*K.1^2,K.1^2,1,K.1^2,-1*K.1^2,-1,1,K.1^2,K.1^2,-1,-1*K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^2,-1,-1*K.1^2,1,K.1^2,K.1^2,1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |1,-1,1,-1,1,1,-1,-1,1,-1*K.1^2,K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,K.1^2,-1*K.1^2,K.1^2,-1,1,-1*K.1^2,K.1^2,1,-1,K.1^2,K.1^2,1,-1,-1,1,K.1^2,-1*K.1^2,-1,1,1,-1,-1,-1,1,K.1,K.1,-1*K.1^3,-1*K.1,-1*K.1,-1*K.1^3,K.1^3,K.1^3,K.1,K.1^3,-1*K.1,K.1^3,-1*K.1,K.1,-1*K.1,-1*K.1^3,K.1^3,-1*K.1^3,K.1,-1*K.1,-1*K.1^3,-1*K.1,-1*K.1^3,K.1,K.1^3,-1*K.1^3,K.1,K.1^3,-1*K.1,-1*K.1^3,K.1,K.1^3,-1*K.1^2,-1*K.1^2,-1,K.1^2,-1*K.1^2,1,-1*K.1^2,K.1^2,-1,1,-1*K.1^2,-1*K.1^2,-1,K.1^2,K.1^2,K.1^2,K.1^2,K.1^2,-1,K.1^2,1,-1*K.1^2,-1*K.1^2,1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |1,-1,1,-1,1,1,-1,-1,1,K.1^2,-1*K.1^2,K.1^2,K.1^2,K.1^2,K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,-1,1,K.1^2,-1*K.1^2,1,-1,-1*K.1^2,-1*K.1^2,1,-1,-1,1,-1*K.1^2,K.1^2,-1,1,1,-1,-1,-1,1,-1*K.1^3,-1*K.1^3,K.1,K.1^3,K.1^3,K.1,-1*K.1,-1*K.1,-1*K.1^3,-1*K.1,K.1^3,-1*K.1,K.1^3,-1*K.1^3,K.1^3,K.1,-1*K.1,K.1,-1*K.1^3,K.1^3,K.1,K.1^3,K.1,-1*K.1^3,-1*K.1,K.1,-1*K.1^3,-1*K.1,K.1^3,K.1,-1*K.1^3,-1*K.1,K.1^2,K.1^2,-1,-1*K.1^2,K.1^2,1,K.1^2,-1*K.1^2,-1,1,K.1^2,K.1^2,-1,-1*K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^2,-1,-1*K.1^2,1,K.1^2,K.1^2,1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |1,-1,1,-1,1,1,-1,-1,1,-1*K.1^2,K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,1,-1,K.1^2,-1*K.1^2,-1,1,K.1^2,K.1^2,-1,1,1,-1,-1*K.1^2,K.1^2,-1,1,1,-1,-1,-1,1,-1*K.1,K.1,K.1^3,-1*K.1,K.1,K.1^3,-1*K.1^3,-1*K.1^3,-1*K.1,-1*K.1^3,K.1,K.1^3,K.1,K.1,K.1,K.1^3,K.1^3,-1*K.1^3,K.1,-1*K.1,K.1^3,-1*K.1,-1*K.1^3,-1*K.1,-1*K.1^3,-1*K.1^3,K.1,K.1^3,-1*K.1,-1*K.1^3,-1*K.1,K.1^3,-1*K.1^2,K.1^2,1,-1*K.1^2,K.1^2,-1,-1*K.1^2,K.1^2,1,-1,-1*K.1^2,K.1^2,1,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,K.1^2,1,-1*K.1^2,-1,-1*K.1^2,K.1^2,-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |1,-1,1,-1,1,1,-1,-1,1,K.1^2,-1*K.1^2,K.1^2,K.1^2,K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,1,-1,-1*K.1^2,K.1^2,-1,1,-1*K.1^2,-1*K.1^2,-1,1,1,-1,K.1^2,-1*K.1^2,-1,1,1,-1,-1,-1,1,K.1^3,-1*K.1^3,-1*K.1,K.1^3,-1*K.1^3,-1*K.1,K.1,K.1,K.1^3,K.1,-1*K.1^3,-1*K.1,-1*K.1^3,-1*K.1^3,-1*K.1^3,-1*K.1,-1*K.1,K.1,-1*K.1^3,K.1^3,-1*K.1,K.1^3,K.1,K.1^3,K.1,K.1,-1*K.1^3,-1*K.1,K.1^3,K.1,K.1^3,-1*K.1,K.1^2,-1*K.1^2,1,K.1^2,-1*K.1^2,-1,K.1^2,-1*K.1^2,1,-1,K.1^2,-1*K.1^2,1,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,-1*K.1^2,1,K.1^2,-1,K.1^2,-1*K.1^2,-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |1,-1,1,-1,1,1,-1,-1,1,-1*K.1^2,K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,1,-1,K.1^2,-1*K.1^2,-1,1,K.1^2,K.1^2,-1,1,1,-1,-1*K.1^2,K.1^2,-1,1,1,-1,-1,-1,1,K.1,-1*K.1,-1*K.1^3,K.1,-1*K.1,-1*K.1^3,K.1^3,K.1^3,K.1,K.1^3,-1*K.1,-1*K.1^3,-1*K.1,-1*K.1,-1*K.1,-1*K.1^3,-1*K.1^3,K.1^3,-1*K.1,K.1,-1*K.1^3,K.1,K.1^3,K.1,K.1^3,K.1^3,-1*K.1,-1*K.1^3,K.1,K.1^3,K.1,-1*K.1^3,-1*K.1^2,K.1^2,1,-1*K.1^2,K.1^2,-1,-1*K.1^2,K.1^2,1,-1,-1*K.1^2,K.1^2,1,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,K.1^2,1,-1*K.1^2,-1,-1*K.1^2,K.1^2,-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |1,-1,1,-1,1,1,-1,-1,1,K.1^2,-1*K.1^2,K.1^2,K.1^2,K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,1,-1,-1*K.1^2,K.1^2,-1,1,-1*K.1^2,-1*K.1^2,-1,1,1,-1,K.1^2,-1*K.1^2,-1,1,1,-1,-1,-1,1,-1*K.1^3,K.1^3,K.1,-1*K.1^3,K.1^3,K.1,-1*K.1,-1*K.1,-1*K.1^3,-1*K.1,K.1^3,K.1,K.1^3,K.1^3,K.1^3,K.1,K.1,-1*K.1,K.1^3,-1*K.1^3,K.1,-1*K.1^3,-1*K.1,-1*K.1^3,-1*K.1,-1*K.1,K.1^3,K.1,-1*K.1^3,-1*K.1,-1*K.1^3,K.1,K.1^2,-1*K.1^2,1,K.1^2,-1*K.1^2,-1,K.1^2,-1*K.1^2,1,-1,K.1^2,-1*K.1^2,1,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,-1*K.1^2,1,K.1^2,-1,K.1^2,-1*K.1^2,-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |1,1,-1,-1,-1,1,-1,1,1,-1*K.1^2,K.1^2,K.1^2,-1*K.1^2,K.1^2,-1,-1*K.1^2,1,-1,1,-1*K.1^2,K.1^2,1,-1,-1*K.1^2,K.1^2,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,-1,1,-1,1,-1,1,-1,1,-1,K.1^3,K.1,K.1,-1*K.1,K.1^3,-1*K.1,-1*K.1,K.1,-1*K.1^3,K.1,K.1^3,-1*K.1^3,-1*K.1^3,K.1,-1*K.1^3,-1*K.1,K.1^3,-1*K.1^3,-1*K.1,K.1,K.1,-1*K.1,K.1^3,-1*K.1^3,-1*K.1,-1*K.1^3,-1*K.1,K.1^3,K.1,K.1^3,K.1^3,-1*K.1^3,K.1^2,1,-1*K.1^2,-1,1,-1*K.1^2,K.1^2,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,-1,K.1^2,1,-1*K.1^2,-1,-1*K.1^2,K.1^2,K.1^2,1,-1*K.1^2,-1*K.1^2,-1,K.1^2]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |1,1,-1,-1,-1,1,-1,1,1,K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,-1,K.1^2,1,-1,1,K.1^2,-1*K.1^2,1,-1,K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,-1,1,-1,1,-1,1,-1,1,-1,-1*K.1,-1*K.1^3,-1*K.1^3,K.1^3,-1*K.1,K.1^3,K.1^3,-1*K.1^3,K.1,-1*K.1^3,-1*K.1,K.1,K.1,-1*K.1^3,K.1,K.1^3,-1*K.1,K.1,K.1^3,-1*K.1^3,-1*K.1^3,K.1^3,-1*K.1,K.1,K.1^3,K.1,K.1^3,-1*K.1,-1*K.1^3,-1*K.1,-1*K.1,K.1,-1*K.1^2,1,K.1^2,-1,1,K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,-1,-1*K.1^2,1,K.1^2,-1,K.1^2,-1*K.1^2,-1*K.1^2,1,K.1^2,K.1^2,-1,-1*K.1^2]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |1,1,-1,-1,-1,1,-1,1,1,-1*K.1^2,K.1^2,K.1^2,-1*K.1^2,K.1^2,-1,-1*K.1^2,1,-1,1,-1*K.1^2,K.1^2,1,-1,-1*K.1^2,K.1^2,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,-1,1,-1,1,-1,1,-1,1,-1,-1*K.1^3,-1*K.1,-1*K.1,K.1,-1*K.1^3,K.1,K.1,-1*K.1,K.1^3,-1*K.1,-1*K.1^3,K.1^3,K.1^3,-1*K.1,K.1^3,K.1,-1*K.1^3,K.1^3,K.1,-1*K.1,-1*K.1,K.1,-1*K.1^3,K.1^3,K.1,K.1^3,K.1,-1*K.1^3,-1*K.1,-1*K.1^3,-1*K.1^3,K.1^3,K.1^2,1,-1*K.1^2,-1,1,-1*K.1^2,K.1^2,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,-1,K.1^2,1,-1*K.1^2,-1,-1*K.1^2,K.1^2,K.1^2,1,-1*K.1^2,-1*K.1^2,-1,K.1^2]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |1,1,-1,-1,-1,1,-1,1,1,K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,-1,K.1^2,1,-1,1,K.1^2,-1*K.1^2,1,-1,K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,-1,1,-1,1,-1,1,-1,1,-1,K.1,K.1^3,K.1^3,-1*K.1^3,K.1,-1*K.1^3,-1*K.1^3,K.1^3,-1*K.1,K.1^3,K.1,-1*K.1,-1*K.1,K.1^3,-1*K.1,-1*K.1^3,K.1,-1*K.1,-1*K.1^3,K.1^3,K.1^3,-1*K.1^3,K.1,-1*K.1,-1*K.1^3,-1*K.1,-1*K.1^3,K.1,K.1^3,K.1,K.1,-1*K.1,-1*K.1^2,1,K.1^2,-1,1,K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,-1,-1*K.1^2,1,K.1^2,-1,K.1^2,-1*K.1^2,-1*K.1^2,1,K.1^2,K.1^2,-1,-1*K.1^2]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |1,1,-1,-1,-1,1,-1,1,1,-1*K.1^2,K.1^2,K.1^2,-1*K.1^2,K.1^2,1,-1*K.1^2,-1,1,-1,K.1^2,-1*K.1^2,-1,1,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,1,-1,-1,1,-1,1,-1,1,-1,K.1^3,-1*K.1,K.1,K.1,K.1^3,-1*K.1,-1*K.1,K.1,-1*K.1^3,K.1,K.1^3,K.1^3,-1*K.1^3,-1*K.1,-1*K.1^3,-1*K.1,-1*K.1^3,K.1^3,K.1,-1*K.1,K.1,K.1,-1*K.1^3,-1*K.1^3,-1*K.1,K.1^3,K.1,-1*K.1^3,-1*K.1,-1*K.1^3,K.1^3,K.1^3,K.1^2,-1,K.1^2,1,-1,K.1^2,K.1^2,K.1^2,K.1^2,-1*K.1^2,-1*K.1^2,1,-1*K.1^2,-1,-1*K.1^2,1,-1*K.1^2,K.1^2,-1*K.1^2,-1,K.1^2,-1*K.1^2,1,-1*K.1^2]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |1,1,-1,-1,-1,1,-1,1,1,K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,1,K.1^2,-1,1,-1,-1*K.1^2,K.1^2,-1,1,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,1,-1,-1,1,-1,1,-1,1,-1,-1*K.1,K.1^3,-1*K.1^3,-1*K.1^3,-1*K.1,K.1^3,K.1^3,-1*K.1^3,K.1,-1*K.1^3,-1*K.1,-1*K.1,K.1,K.1^3,K.1,K.1^3,K.1,-1*K.1,-1*K.1^3,K.1^3,-1*K.1^3,-1*K.1^3,K.1,K.1,K.1^3,-1*K.1,-1*K.1^3,K.1,K.1^3,K.1,-1*K.1,-1*K.1,-1*K.1^2,-1,-1*K.1^2,1,-1,-1*K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,K.1^2,1,K.1^2,-1,K.1^2,1,K.1^2,-1*K.1^2,K.1^2,-1,-1*K.1^2,K.1^2,1,K.1^2]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |1,1,-1,-1,-1,1,-1,1,1,-1*K.1^2,K.1^2,K.1^2,-1*K.1^2,K.1^2,1,-1*K.1^2,-1,1,-1,K.1^2,-1*K.1^2,-1,1,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,1,-1,-1,1,-1,1,-1,1,-1,-1*K.1^3,K.1,-1*K.1,-1*K.1,-1*K.1^3,K.1,K.1,-1*K.1,K.1^3,-1*K.1,-1*K.1^3,-1*K.1^3,K.1^3,K.1,K.1^3,K.1,K.1^3,-1*K.1^3,-1*K.1,K.1,-1*K.1,-1*K.1,K.1^3,K.1^3,K.1,-1*K.1^3,-1*K.1,K.1^3,K.1,K.1^3,-1*K.1^3,-1*K.1^3,K.1^2,-1,K.1^2,1,-1,K.1^2,K.1^2,K.1^2,K.1^2,-1*K.1^2,-1*K.1^2,1,-1*K.1^2,-1,-1*K.1^2,1,-1*K.1^2,K.1^2,-1*K.1^2,-1,K.1^2,-1*K.1^2,1,-1*K.1^2]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |1,1,-1,-1,-1,1,-1,1,1,K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,1,K.1^2,-1,1,-1,-1*K.1^2,K.1^2,-1,1,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,1,-1,-1,1,-1,1,-1,1,-1,K.1,-1*K.1^3,K.1^3,K.1^3,K.1,-1*K.1^3,-1*K.1^3,K.1^3,-1*K.1,K.1^3,K.1,K.1,-1*K.1,-1*K.1^3,-1*K.1,-1*K.1^3,-1*K.1,K.1,K.1^3,-1*K.1^3,K.1^3,K.1^3,-1*K.1,-1*K.1,-1*K.1^3,K.1,K.1^3,-1*K.1,-1*K.1^3,-1*K.1,K.1,K.1,-1*K.1^2,-1,-1*K.1^2,1,-1,-1*K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,K.1^2,1,K.1^2,-1,K.1^2,1,K.1^2,-1*K.1^2,K.1^2,-1,-1*K.1^2,K.1^2,1,K.1^2]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |1,1,1,-1,-1,-1,1,-1,1,-1*K.1^2,K.1^2,K.1^2,K.1^2,-1*K.1^2,-1,-1*K.1^2,-1,1,1,K.1^2,-1*K.1^2,1,-1,K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,1,-1,1,-1,-1,1,-1,-1,1,-1*K.1,K.1^3,K.1^3,K.1^3,-1*K.1,K.1^3,-1*K.1^3,K.1^3,K.1,-1*K.1^3,K.1,-1*K.1,-1*K.1,-1*K.1^3,K.1,-1*K.1^3,K.1,K.1,K.1^3,K.1^3,-1*K.1^3,-1*K.1^3,-1*K.1,-1*K.1,K.1^3,-1*K.1,-1*K.1^3,-1*K.1,-1*K.1^3,K.1,K.1,K.1,K.1^2,-1,-1*K.1^2,-1,1,-1*K.1^2,-1*K.1^2,K.1^2,K.1^2,K.1^2,K.1^2,1,K.1^2,-1,-1*K.1^2,1,K.1^2,-1*K.1^2,-1*K.1^2,1,K.1^2,-1*K.1^2,-1,-1*K.1^2]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |1,1,1,-1,-1,-1,1,-1,1,K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,-1,K.1^2,-1,1,1,-1*K.1^2,K.1^2,1,-1,-1*K.1^2,K.1^2,K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,1,-1,1,-1,-1,1,-1,-1,1,K.1^3,-1*K.1,-1*K.1,-1*K.1,K.1^3,-1*K.1,K.1,-1*K.1,-1*K.1^3,K.1,-1*K.1^3,K.1^3,K.1^3,K.1,-1*K.1^3,K.1,-1*K.1^3,-1*K.1^3,-1*K.1,-1*K.1,K.1,K.1,K.1^3,K.1^3,-1*K.1,K.1^3,K.1,K.1^3,K.1,-1*K.1^3,-1*K.1^3,-1*K.1^3,-1*K.1^2,-1,K.1^2,-1,1,K.1^2,K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^2,1,-1*K.1^2,-1,K.1^2,1,-1*K.1^2,K.1^2,K.1^2,1,-1*K.1^2,K.1^2,-1,K.1^2]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |1,1,1,-1,-1,-1,1,-1,1,-1*K.1^2,K.1^2,K.1^2,K.1^2,-1*K.1^2,-1,-1*K.1^2,-1,1,1,K.1^2,-1*K.1^2,1,-1,K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,1,-1,1,-1,-1,1,-1,-1,1,K.1,-1*K.1^3,-1*K.1^3,-1*K.1^3,K.1,-1*K.1^3,K.1^3,-1*K.1^3,-1*K.1,K.1^3,-1*K.1,K.1,K.1,K.1^3,-1*K.1,K.1^3,-1*K.1,-1*K.1,-1*K.1^3,-1*K.1^3,K.1^3,K.1^3,K.1,K.1,-1*K.1^3,K.1,K.1^3,K.1,K.1^3,-1*K.1,-1*K.1,-1*K.1,K.1^2,-1,-1*K.1^2,-1,1,-1*K.1^2,-1*K.1^2,K.1^2,K.1^2,K.1^2,K.1^2,1,K.1^2,-1,-1*K.1^2,1,K.1^2,-1*K.1^2,-1*K.1^2,1,K.1^2,-1*K.1^2,-1,-1*K.1^2]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |1,1,1,-1,-1,-1,1,-1,1,K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,-1,K.1^2,-1,1,1,-1*K.1^2,K.1^2,1,-1,-1*K.1^2,K.1^2,K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,1,-1,1,-1,-1,1,-1,-1,1,-1*K.1^3,K.1,K.1,K.1,-1*K.1^3,K.1,-1*K.1,K.1,K.1^3,-1*K.1,K.1^3,-1*K.1^3,-1*K.1^3,-1*K.1,K.1^3,-1*K.1,K.1^3,K.1^3,K.1,K.1,-1*K.1,-1*K.1,-1*K.1^3,-1*K.1^3,K.1,-1*K.1^3,-1*K.1,-1*K.1^3,-1*K.1,K.1^3,K.1^3,K.1^3,-1*K.1^2,-1,K.1^2,-1,1,K.1^2,K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^2,1,-1*K.1^2,-1,K.1^2,1,-1*K.1^2,K.1^2,K.1^2,1,-1*K.1^2,K.1^2,-1,K.1^2]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |1,1,1,-1,-1,-1,1,-1,1,-1*K.1^2,K.1^2,K.1^2,K.1^2,-1*K.1^2,1,-1*K.1^2,1,-1,-1,-1*K.1^2,K.1^2,-1,1,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,-1,1,1,-1,-1,1,-1,-1,1,-1*K.1,-1*K.1^3,K.1^3,-1*K.1^3,-1*K.1,K.1^3,-1*K.1^3,K.1^3,K.1,-1*K.1^3,K.1,K.1,-1*K.1,K.1^3,K.1,-1*K.1^3,-1*K.1,-1*K.1,-1*K.1^3,-1*K.1^3,-1*K.1^3,K.1^3,K.1,-1*K.1,K.1^3,K.1,K.1^3,K.1,K.1^3,-1*K.1,K.1,-1*K.1,K.1^2,1,K.1^2,1,-1,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,-1,-1*K.1^2,1,-1*K.1^2,-1,K.1^2,-1*K.1^2,K.1^2,-1,-1*K.1^2,-1*K.1^2,1,K.1^2]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |1,1,1,-1,-1,-1,1,-1,1,K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,1,K.1^2,1,-1,-1,K.1^2,-1*K.1^2,-1,1,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,-1,1,1,-1,-1,1,-1,-1,1,K.1^3,K.1,-1*K.1,K.1,K.1^3,-1*K.1,K.1,-1*K.1,-1*K.1^3,K.1,-1*K.1^3,-1*K.1^3,K.1^3,-1*K.1,-1*K.1^3,K.1,K.1^3,K.1^3,K.1,K.1,K.1,-1*K.1,-1*K.1^3,K.1^3,-1*K.1,-1*K.1^3,-1*K.1,-1*K.1^3,-1*K.1,K.1^3,-1*K.1^3,K.1^3,-1*K.1^2,1,-1*K.1^2,1,-1,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,K.1^2,-1*K.1^2,-1,K.1^2,1,K.1^2,-1,-1*K.1^2,K.1^2,-1*K.1^2,-1,K.1^2,K.1^2,1,-1*K.1^2]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |1,1,1,-1,-1,-1,1,-1,1,-1*K.1^2,K.1^2,K.1^2,K.1^2,-1*K.1^2,1,-1*K.1^2,1,-1,-1,-1*K.1^2,K.1^2,-1,1,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,-1,1,1,-1,-1,1,-1,-1,1,K.1,K.1^3,-1*K.1^3,K.1^3,K.1,-1*K.1^3,K.1^3,-1*K.1^3,-1*K.1,K.1^3,-1*K.1,-1*K.1,K.1,-1*K.1^3,-1*K.1,K.1^3,K.1,K.1,K.1^3,K.1^3,K.1^3,-1*K.1^3,-1*K.1,K.1,-1*K.1^3,-1*K.1,-1*K.1^3,-1*K.1,-1*K.1^3,K.1,-1*K.1,K.1,K.1^2,1,K.1^2,1,-1,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,-1,-1*K.1^2,1,-1*K.1^2,-1,K.1^2,-1*K.1^2,K.1^2,-1,-1*K.1^2,-1*K.1^2,1,K.1^2]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |1,1,1,-1,-1,-1,1,-1,1,K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,1,K.1^2,1,-1,-1,K.1^2,-1*K.1^2,-1,1,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,-1,1,1,-1,-1,1,-1,-1,1,-1*K.1^3,-1*K.1,K.1,-1*K.1,-1*K.1^3,K.1,-1*K.1,K.1,K.1^3,-1*K.1,K.1^3,K.1^3,-1*K.1^3,K.1,K.1^3,-1*K.1,-1*K.1^3,-1*K.1^3,-1*K.1,-1*K.1,-1*K.1,K.1,K.1^3,-1*K.1^3,K.1,K.1^3,K.1,K.1^3,K.1,-1*K.1^3,K.1^3,-1*K.1^3,-1*K.1^2,1,-1*K.1^2,1,-1,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,K.1^2,-1*K.1^2,-1,K.1^2,1,K.1^2,-1,-1*K.1^2,K.1^2,-1*K.1^2,-1,K.1^2,K.1^2,1,-1*K.1^2]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
x := CR!\[2, 2, 2, 2, 2, 2, 2, 2, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -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, -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!\[2, 2, -2, 2, 2, -2, -2, -2, -1, -2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, -1, -1, -1, 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, 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!\[2, 2, -2, 2, 2, -2, -2, -2, -1, -2, -2, -2, 2, 2, 2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, 1, 1, -1, -1, -1, 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, 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!\[2, 2, 2, 2, 2, 2, 2, 2, -1, 2, 2, 2, 2, 2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -1, -1, -1, -1, -1, -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, -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!\[2, 2, -2, 2, 2, -2, -2, -2, -1, 2, 2, 2, -2, -2, -2, 2, 2, 2, -2, 2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, 2, 2, 1, 1, -1, -1, -1, 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, -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!\[2, 2, -2, 2, 2, -2, -2, -2, -1, 2, 2, 2, -2, -2, 2, 2, -2, -2, 2, -2, -2, 2, 2, -2, -2, -2, -2, 2, 2, 2, 2, -2, -2, 1, 1, -1, -1, -1, 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, -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!\[2, 2, 2, 2, 2, 2, 2, 2, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, 2, 2, -2, -2, -1, -1, -1, -1, -1, -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, 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!\[2, 2, 2, 2, 2, 2, 2, 2, -1, -2, -2, -2, -2, -2, 2, -2, 2, 2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -1, -1, -1, -1, -1, -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, 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(4: Sparse := true);
S := [ K |2,-2,-2,2,-2,2,2,-2,-1,-2,-2,2,-2,2,-2*K.1,2,-2*K.1,-2*K.1,-2*K.1,-2*K.1,-2*K.1,2*K.1,2*K.1,2*K.1,2*K.1,-2,2,-2*K.1,-2*K.1,2*K.1,2*K.1,2*K.1,2*K.1,-1,-1,1,1,-1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-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,-1*K.1,-1,1,-1*K.1,K.1,-1*K.1,1,K.1,K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |2,-2,-2,2,-2,2,2,-2,-1,-2,-2,2,-2,2,2*K.1,2,2*K.1,2*K.1,2*K.1,2*K.1,2*K.1,-2*K.1,-2*K.1,-2*K.1,-2*K.1,-2,2,2*K.1,2*K.1,-2*K.1,-2*K.1,-2*K.1,-2*K.1,-1,-1,1,1,-1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,K.1,-1*K.1,K.1,K.1,K.1,-1,1,-1*K.1,-1*K.1,1,-1*K.1,K.1,-1*K.1,-1,K.1,-1,1,K.1,-1*K.1,K.1,1,-1*K.1,-1*K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |2,-2,-2,2,-2,2,2,-2,-1,2,2,-2,2,-2,-2*K.1,-2,-2*K.1,-2*K.1,-2*K.1,2*K.1,2*K.1,2*K.1,2*K.1,-2*K.1,-2*K.1,2,-2,2*K.1,2*K.1,-2*K.1,-2*K.1,2*K.1,2*K.1,-1,-1,1,1,-1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-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,K.1,K.1,1,-1*K.1,1,-1,K.1,K.1,K.1,-1,K.1,-1*K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |2,-2,-2,2,-2,2,2,-2,-1,2,2,-2,2,-2,2*K.1,-2,2*K.1,2*K.1,2*K.1,-2*K.1,-2*K.1,-2*K.1,-2*K.1,2*K.1,2*K.1,2,-2,-2*K.1,-2*K.1,2*K.1,2*K.1,-2*K.1,-2*K.1,-1,-1,1,1,-1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,K.1,K.1,K.1,K.1,-1*K.1,1,-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,-1*K.1,-1,-1*K.1,K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |2,-2,2,2,-2,-2,-2,2,-1,-2,-2,2,2,-2,-2*K.1,2,2*K.1,2*K.1,-2*K.1,2*K.1,2*K.1,2*K.1,2*K.1,-2*K.1,-2*K.1,2,-2,-2*K.1,-2*K.1,2*K.1,2*K.1,-2*K.1,-2*K.1,1,1,1,1,-1,-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,-1,K.1,K.1,-1*K.1,-1*K.1,-1*K.1,1,1,-1*K.1,K.1,-1,-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]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |2,-2,2,2,-2,-2,-2,2,-1,-2,-2,2,2,-2,2*K.1,2,-2*K.1,-2*K.1,2*K.1,-2*K.1,-2*K.1,-2*K.1,-2*K.1,2*K.1,2*K.1,2,-2,2*K.1,2*K.1,-2*K.1,-2*K.1,2*K.1,2*K.1,1,1,1,1,-1,-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,-1,-1*K.1,-1*K.1,K.1,K.1,K.1,1,1,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.1,1,-1*K.1,K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |2,-2,2,2,-2,-2,-2,2,-1,2,2,-2,-2,2,-2*K.1,-2,2*K.1,2*K.1,-2*K.1,-2*K.1,-2*K.1,2*K.1,2*K.1,2*K.1,2*K.1,-2,2,2*K.1,2*K.1,-2*K.1,-2*K.1,-2*K.1,-2*K.1,1,1,1,1,-1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,K.1,-1*K.1,-1*K.1,-1*K.1,K.1,-1,-1,K.1,-1*K.1,1,-1*K.1,K.1,-1*K.1,1,K.1,-1,1,-1*K.1,K.1,-1*K.1,-1,K.1,K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |2,-2,2,2,-2,-2,-2,2,-1,2,2,-2,-2,2,2*K.1,-2,-2*K.1,-2*K.1,2*K.1,2*K.1,2*K.1,-2*K.1,-2*K.1,-2*K.1,-2*K.1,-2,2,-2*K.1,-2*K.1,2*K.1,2*K.1,2*K.1,2*K.1,1,1,1,1,-1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1*K.1,K.1,K.1,K.1,-1*K.1,-1,-1,-1*K.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]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |2,-2,-2,-2,2,-2,2,2,-1,-2*K.1,2*K.1,-2*K.1,2*K.1,2*K.1,2*K.1,2*K.1,2*K.1,-2*K.1,-2*K.1,-2,2,2*K.1,-2*K.1,2,-2,-2*K.1,-2*K.1,-2,2,2,-2,2*K.1,-2*K.1,-1,1,-1,1,1,-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,K.1,K.1,-1,K.1,-1*K.1,1,-1*K.1,-1*K.1,1,1,-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,-1*K.1,-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |2,-2,-2,-2,2,-2,2,2,-1,2*K.1,-2*K.1,2*K.1,-2*K.1,-2*K.1,-2*K.1,-2*K.1,-2*K.1,2*K.1,2*K.1,-2,2,-2*K.1,2*K.1,2,-2,2*K.1,2*K.1,-2,2,2,-2,-2*K.1,2*K.1,-1,1,-1,1,1,-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,-1*K.1,-1*K.1,-1,-1*K.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.1,1,-1*K.1,-1,-1*K.1,K.1,-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |2,-2,-2,-2,2,-2,2,2,-1,-2*K.1,2*K.1,-2*K.1,2*K.1,2*K.1,-2*K.1,2*K.1,-2*K.1,2*K.1,2*K.1,2,-2,-2*K.1,2*K.1,-2,2,-2*K.1,-2*K.1,2,-2,-2,2,-2*K.1,2*K.1,-1,1,-1,1,1,-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,K.1,-1*K.1,1,-1*K.1,K.1,-1,-1*K.1,-1*K.1,-1,-1,-1*K.1,-1*K.1,1,K.1,-1*K.1,K.1,K.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(4: Sparse := true);
S := [ K |2,-2,-2,-2,2,-2,2,2,-1,2*K.1,-2*K.1,2*K.1,-2*K.1,-2*K.1,2*K.1,-2*K.1,2*K.1,-2*K.1,-2*K.1,2,-2,2*K.1,-2*K.1,-2,2,2*K.1,2*K.1,2,-2,-2,2,2*K.1,-2*K.1,-1,1,-1,1,1,-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,-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,-1*K.1,-1,K.1,1,-1*K.1,-1*K.1,1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |2,-2,2,-2,2,2,-2,-2,-1,-2*K.1,2*K.1,-2*K.1,-2*K.1,-2*K.1,-2*K.1,2*K.1,2*K.1,-2*K.1,2*K.1,-2,2,-2*K.1,2*K.1,2,-2,2*K.1,2*K.1,2,-2,-2,2,2*K.1,-2*K.1,1,-1,-1,1,1,1,-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,K.1,K.1,1,-1*K.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,-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(4: Sparse := true);
S := [ K |2,-2,2,-2,2,2,-2,-2,-1,2*K.1,-2*K.1,2*K.1,2*K.1,2*K.1,2*K.1,-2*K.1,-2*K.1,2*K.1,-2*K.1,-2,2,2*K.1,-2*K.1,2,-2,-2*K.1,-2*K.1,2,-2,-2,2,-2*K.1,2*K.1,1,-1,-1,1,1,1,-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,-1*K.1,-1*K.1,1,K.1,-1*K.1,-1,-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]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |2,-2,2,-2,2,2,-2,-2,-1,-2*K.1,2*K.1,-2*K.1,-2*K.1,-2*K.1,2*K.1,2*K.1,-2*K.1,2*K.1,-2*K.1,2,-2,2*K.1,-2*K.1,-2,2,2*K.1,2*K.1,-2,2,2,-2,-2*K.1,2*K.1,1,-1,-1,1,1,1,-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,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,K.1,-1*K.1,K.1,-1*K.1,-1*K.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(4: Sparse := true);
S := [ K |2,-2,2,-2,2,2,-2,-2,-1,2*K.1,-2*K.1,2*K.1,2*K.1,2*K.1,-2*K.1,-2*K.1,2*K.1,-2*K.1,2*K.1,2,-2,-2*K.1,2*K.1,-2,2,-2*K.1,-2*K.1,-2,2,2,-2,2*K.1,-2*K.1,1,-1,-1,1,1,1,-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,-1*K.1,K.1,-1,-1*K.1,K.1,1,-1*K.1,K.1,-1,1,-1*K.1,K.1,-1,-1*K.1,K.1,-1*K.1,K.1,K.1,-1,-1*K.1,1,-1*K.1,K.1,1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |2,2,-2,-2,-2,2,-2,2,-1,-2*K.1,2*K.1,2*K.1,-2*K.1,2*K.1,-2,-2*K.1,2,-2,2,-2*K.1,2*K.1,2,-2,-2*K.1,2*K.1,2*K.1,-2*K.1,2*K.1,-2*K.1,2*K.1,-2*K.1,-2,2,1,-1,1,-1,1,-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,-1*K.1,-1,K.1,1,-1,K.1,-1*K.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,-1,K.1,K.1,1,-1*K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |2,2,-2,-2,-2,2,-2,2,-1,2*K.1,-2*K.1,-2*K.1,2*K.1,-2*K.1,-2,2*K.1,2,-2,2,2*K.1,-2*K.1,2,-2,2*K.1,-2*K.1,-2*K.1,2*K.1,-2*K.1,2*K.1,-2*K.1,2*K.1,-2,2,1,-1,1,-1,1,-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,K.1,-1,-1*K.1,1,-1,-1*K.1,K.1,K.1,-1*K.1,K.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.1,1,K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |2,2,-2,-2,-2,2,-2,2,-1,-2*K.1,2*K.1,2*K.1,-2*K.1,2*K.1,2,-2*K.1,-2,2,-2,2*K.1,-2*K.1,-2,2,2*K.1,-2*K.1,2*K.1,-2*K.1,-2*K.1,2*K.1,-2*K.1,2*K.1,2,-2,1,-1,1,-1,1,-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,-1*K.1,1,-1*K.1,-1,1,-1*K.1,-1*K.1,-1*K.1,-1*K.1,K.1,K.1,-1,K.1,1,K.1,-1,K.1,-1*K.1,K.1,1,-1*K.1,K.1,-1,K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |2,2,-2,-2,-2,2,-2,2,-1,2*K.1,-2*K.1,-2*K.1,2*K.1,-2*K.1,2,2*K.1,-2,2,-2,-2*K.1,2*K.1,-2,2,-2*K.1,2*K.1,-2*K.1,2*K.1,2*K.1,-2*K.1,2*K.1,-2*K.1,2,-2,1,-1,1,-1,1,-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,K.1,1,K.1,-1,1,K.1,K.1,K.1,K.1,-1*K.1,-1*K.1,-1,-1*K.1,1,-1*K.1,-1,-1*K.1,K.1,-1*K.1,1,K.1,-1*K.1,-1,-1*K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |2,2,2,-2,-2,-2,2,-2,-1,-2*K.1,2*K.1,2*K.1,2*K.1,-2*K.1,-2,-2*K.1,-2,2,2,2*K.1,-2*K.1,2,-2,2*K.1,-2*K.1,-2*K.1,2*K.1,2*K.1,-2*K.1,2*K.1,-2*K.1,2,-2,-1,1,1,-1,1,1,-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,-1*K.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,K.1,-1,-1*K.1,K.1,K.1,-1,-1*K.1,K.1,1,K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |2,2,2,-2,-2,-2,2,-2,-1,2*K.1,-2*K.1,-2*K.1,-2*K.1,2*K.1,-2,2*K.1,-2,2,2,-2*K.1,2*K.1,2,-2,-2*K.1,2*K.1,2*K.1,-2*K.1,-2*K.1,2*K.1,-2*K.1,2*K.1,2,-2,-1,1,1,-1,1,1,-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,K.1,1,-1*K.1,1,-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,K.1,-1*K.1,1,-1*K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |2,2,2,-2,-2,-2,2,-2,-1,-2*K.1,2*K.1,2*K.1,2*K.1,-2*K.1,2,-2*K.1,2,-2,-2,-2*K.1,2*K.1,-2,2,-2*K.1,2*K.1,-2*K.1,2*K.1,-2*K.1,2*K.1,-2*K.1,2*K.1,-2,2,-1,1,1,-1,1,1,-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,-1*K.1,-1,-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.1,1,-1*K.1,K.1,-1*K.1,1,K.1,K.1,-1,-1*K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |2,2,2,-2,-2,-2,2,-2,-1,2*K.1,-2*K.1,-2*K.1,-2*K.1,2*K.1,2,2*K.1,2,-2,-2,2*K.1,-2*K.1,-2,2,2*K.1,-2*K.1,2*K.1,-2*K.1,2*K.1,-2*K.1,2*K.1,-2*K.1,-2,2,-1,1,1,-1,1,1,-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,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,-1,-1*K.1,1,K.1,-1*K.1,K.1,1,-1*K.1,-1*K.1,-1,K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
_ := CharacterTable(G : Check := 0); 
chartbl_192_479:= KnownIrreducibles(CR);