/* Group 256.5886 downloaded from the LMFDB on 24 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([8, 2, 2, 2, 2, 2, 2, 2, 2, 16, 41, 66, 1924, 116, 10758, 166]); a,b,c := Explode([GPC.1, GPC.5, GPC.7]); AssignNames(~GPC, ["a", "a2", "a4", "a8", "b", "b2", "c", "c2"]);
GPerm := PermutationGroup< 24 | (2,4)(6,8)(9,10,11,14,12,15,17,20,13,16,18,21,19,22,23,24), (5,6,7,8), (1,2,3,4), (5,7)(6,8), (1,3)(2,4), (9,11,12,17,13,18,19,23)(10,14,15,20,16,21,22,24), (9,12,13,19)(10,15,16,22)(11,17,18,23)(14,20,21,24), (9,13)(10,16)(11,18)(12,19)(14,21)(15,22)(17,23)(20,24) >;
GLZN := MatrixGroup< 2, Integers(48) | [[1, 12, 0, 1], [25, 0, 0, 25], [1, 24, 0, 1], [5, 1, 0, 1], [25, 6, 0, 1], [37, 24, 24, 13], [25, 44, 32, 17], [41, 0, 0, 41]] >;
GLZq := MatrixGroup< 2, Integers(32) | [[13, 6, 22, 31], [1, 8, 0, 1], [3, 18, 18, 17], [9, 16, 16, 25], [1, 16, 0, 1], [13, 8, 8, 5], [17, 0, 0, 17], [17, 16, 16, 17]] >;

 
/* Booleans */
RF := recformat< Agroup, Zgroup, abelian, almost_simple, cyclic, metabelian, metacyclic, monomial, nilpotent, perfect, quasisimple, rational, solvable, supersolvable  : BoolElt >; 
booleans_256_5886 := rec< RF |  
Agroup := false,
Zgroup := false,
abelian := false,
almost_simple := false,
cyclic := false,
metabelian := true,
metacyclic := false,
monomial := true,
nilpotent := true,
perfect := false,
quasisimple := false,
rational := false,
solvable := true,
supersolvable := true>; 

 
/* Character Table */
G:= GPC;
C := SequenceToConjugacyClasses([car<Integers(), Integers(), G> |< 1, 1, Id(G)>,< 2, 1, c^2>,< 2, 1, b^2>,< 2, 1, b^2*c^2>,< 2, 1, a^8*c^2>,< 2, 1, a^8*b^2>,< 2, 1, a^8*b^2*c^2>,< 2, 1, a^8>,< 4, 1, a^4>,< 4, 1, a^12>,< 4, 1, a^4*c^2>,< 4, 1, a^12*c^2>,< 4, 1, a^4*b^2>,< 4, 1, a^12*b^2>,< 4, 1, a^4*b^2*c^2>,< 4, 1, a^12*b^2*c^2>,< 4, 2, c>,< 4, 2, b>,< 4, 2, b^2*c>,< 4, 2, b*c^2>,< 4, 2, b*c>,< 4, 2, a^8*c>,< 4, 2, a^8*b>,< 4, 2, b*c^3>,< 4, 2, a^8*b^2*c>,< 4, 2, a^8*b*c^2>,< 4, 2, a^8*b*c>,< 4, 2, a^8*b*c^3>,< 4, 2, a^4*c>,< 4, 2, a^12*c>,< 4, 2, a^4*b>,< 4, 2, a^12*b>,< 4, 2, a^4*b^2*c>,< 4, 2, a^12*b^2*c>,< 4, 2, a^4*b*c^2>,< 4, 2, a^12*b*c^2>,< 4, 2, a^4*b*c>,< 4, 2, a^12*b*c>,< 4, 2, a^4*b*c^3>,< 4, 2, a^12*b*c^3>,< 8, 1, a^2*c^2>,< 8, 1, a^14*c^2>,< 8, 1, a^6*c^2>,< 8, 1, a^10*c^2>,< 8, 1, a^2*b^2>,< 8, 1, a^14*b^2>,< 8, 1, a^6*b^2>,< 8, 1, a^10*b^2>,< 8, 1, a^2*b^2*c^2>,< 8, 1, a^14*b^2*c^2>,< 8, 1, a^6*b^2*c^2>,< 8, 1, a^10*b^2*c^2>,< 8, 1, a^2>,< 8, 1, a^14>,< 8, 1, a^6>,< 8, 1, a^10>,< 8, 2, a^2*c>,< 8, 2, a^14*c>,< 8, 2, a^6*c>,< 8, 2, a^10*c>,< 8, 2, a^2*b>,< 8, 2, a^14*b>,< 8, 2, a^6*b>,< 8, 2, a^10*b>,< 8, 2, a^2*b^2*c>,< 8, 2, a^14*b^2*c>,< 8, 2, a^6*b^2*c>,< 8, 2, a^10*b^2*c>,< 8, 2, a^2*b*c^2>,< 8, 2, a^14*b*c^2>,< 8, 2, a^6*b*c^2>,< 8, 2, a^10*b*c^2>,< 8, 2, a^2*b*c>,< 8, 2, a^14*b*c>,< 8, 2, a^6*b*c>,< 8, 2, a^10*b*c>,< 8, 2, a^2*b*c^3>,< 8, 2, a^14*b*c^3>,< 8, 2, a^6*b*c^3>,< 8, 2, a^10*b*c^3>,< 16, 4, a>,< 16, 4, a^15>,< 16, 4, a^3>,< 16, 4, a^13>,< 16, 4, a^5>,< 16, 4, a^11>,< 16, 4, a^7>,< 16, 4, a^9>,< 16, 4, a*c>,< 16, 4, a^15*c>,< 16, 4, a^3*c>,< 16, 4, a^13*c>,< 16, 4, a^5*c>,< 16, 4, a^11*c>,< 16, 4, a^7*c>,< 16, 4, a^9*c>,< 16, 4, a*b>,< 16, 4, a^15*b>,< 16, 4, a^3*b>,< 16, 4, a^13*b>,< 16, 4, a^5*b>,< 16, 4, a^11*b>,< 16, 4, a^7*b>,< 16, 4, a^9*b>,< 16, 4, a*b*c>,< 16, 4, a^15*b*c>,< 16, 4, a^3*b*c>,< 16, 4, a^13*b*c>,< 16, 4, a^5*b*c>,< 16, 4, a^11*b*c>,< 16, 4, a^7*b*c>,< 16, 4, a^9*b*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, 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, -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, 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, -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, 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, -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, 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, -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 |1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,-1,-1,-1,1,-1,-1,-1,-1,-1,-1,1,-1,-1,-1,1,1,-1,-1,1,-1,1,1,-1,1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,1,1,1,-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,-1*K.1,-1*K.1,-1*K.1,K.1,K.1,K.1,K.1,K.1,K.1,K.1,K.1,-1*K.1,-1*K.1,-1*K.1,-1*K.1,K.1,K.1,K.1,-1*K.1,K.1,-1*K.1,-1*K.1,K.1,-1*K.1,-1*K.1,-1*K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(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,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,1,1,1,-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,K.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,K.1,K.1,K.1,-1*K.1,-1*K.1,-1*K.1,K.1,-1*K.1,K.1,K.1,-1*K.1,K.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,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-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,-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,-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,-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 |1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,-1,1,1,-1,-1,1,1,1,-1,1,-1,-1,1,-1,-1,-1,-1,-1,-1,1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-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,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,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,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,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,1,1,1,1,1,1,1,1,-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,-1*K.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,K.1,K.1,-1*K.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*K.1,K.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,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,1,1,1,1,1,1,1,1,-1,1,1,-1,1,-1,-1,-1,1,-1,-1,1,1,1,-1,1,K.1,K.1,K.1,K.1,K.1,-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,-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,K.1,K.1,K.1,-1*K.1,-1*K.1,-1*K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(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,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1*K.1,K.1,-1*K.1,-1*K.1,K.1,-1*K.1,-1*K.1,-1*K.1,-1*K.1,K.1,K.1,-1*K.1,K.1,K.1,K.1,-1*K.1,K.1,K.1,-1*K.1,-1*K.1,K.1,K.1,-1*K.1,-1*K.1,-1*K.1,-1*K.1,K.1,K.1,-1*K.1,K.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,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,K.1,-1*K.1,K.1,K.1,-1*K.1,K.1,K.1,K.1,K.1,-1*K.1,-1*K.1,K.1,-1*K.1,-1*K.1,-1*K.1,K.1,-1*K.1,-1*K.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,-1*K.1,-1*K.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,-1,-1,-1,-1,-1,-1,-1,-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.1^2,-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,K.1^2,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,K.1^2,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*K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,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,K.1^2,-1*K.1^2,K.1^3,K.1,K.1^3,K.1^3,-1*K.1,-1*K.1^3,K.1^3,K.1^3,-1*K.1^3,K.1,K.1,K.1^3,-1*K.1,-1*K.1,K.1,-1*K.1^3,K.1,-1*K.1,-1*K.1^3,-1*K.1^3,K.1,-1*K.1,-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,-1*K.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,-1,-1,-1,-1,-1,-1,-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.1^2,K.1^2,-1*K.1^2,K.1^2,-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*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,K.1^2,K.1^2,K.1^2,K.1^2,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*K.1^2,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,-1*K.1,-1*K.1^3,-1*K.1,-1*K.1,K.1^3,K.1,-1*K.1,-1*K.1,K.1,-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,K.1^3,K.1,K.1,-1*K.1^3,K.1^3,K.1,K.1,-1*K.1,-1*K.1,K.1^3,K.1^3,K.1,-1*K.1^3,-1*K.1^3,K.1^3]; 
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,-1,-1,-1,-1,-1,-1,-1,-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.1^2,-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,K.1^2,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,K.1^2,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*K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,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,K.1^2,-1*K.1^2,-1*K.1^3,-1*K.1,-1*K.1^3,-1*K.1^3,K.1,K.1^3,-1*K.1^3,-1*K.1^3,K.1^3,-1*K.1,-1*K.1,-1*K.1^3,K.1,K.1,-1*K.1,K.1^3,-1*K.1,K.1,K.1^3,K.1^3,-1*K.1,K.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,K.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,-1,-1,-1,-1,-1,-1,-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.1^2,K.1^2,-1*K.1^2,K.1^2,-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*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,K.1^2,K.1^2,K.1^2,K.1^2,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*K.1^2,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,K.1,K.1^3,K.1,K.1,-1*K.1^3,-1*K.1,K.1,K.1,-1*K.1,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,-1*K.1^3,-1*K.1,-1*K.1,K.1^3,-1*K.1^3,-1*K.1,-1*K.1,K.1,K.1,-1*K.1^3,-1*K.1^3,-1*K.1,K.1^3,K.1^3,-1*K.1^3]; 
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,-1,-1,-1,-1,-1,-1,-1,1,-1,1,-1,1,-1,1,1,1,1,-1,-1,-1,-1,1,1,1,-1,-1,1,-1,1,-1,-1*K.1^2,-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,K.1^2,K.1^2,-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,K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,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,K.1^2,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,K.1^2,K.1^2,K.1^3,-1*K.1,K.1^3,K.1^3,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,-1*K.1,-1*K.1,K.1,-1*K.1^3,K.1,-1*K.1,-1*K.1^3,-1*K.1^3,-1*K.1,K.1,K.1^3,K.1^3,-1*K.1^3,-1*K.1^3,K.1,K.1,-1*K.1^3,K.1,K.1,-1*K.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,-1,-1,-1,-1,-1,-1,-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.1^2,K.1^2,-1*K.1^2,K.1^2,-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*K.1^2,-1*K.1^2,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,K.1^2,-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,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,K.1^3,-1*K.1,-1*K.1,-1*K.1^3,-1*K.1,K.1,-1*K.1,-1*K.1,K.1^3,K.1^3,K.1,K.1^3,K.1^3,-1*K.1^3,K.1,-1*K.1^3,K.1^3,K.1,K.1,K.1^3,-1*K.1^3,-1*K.1,-1*K.1,K.1,K.1,-1*K.1^3,-1*K.1^3,K.1,-1*K.1^3,-1*K.1^3,K.1^3]; 
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,-1,-1,-1,-1,-1,-1,-1,1,-1,1,-1,1,-1,1,1,1,1,-1,-1,-1,-1,1,1,1,-1,-1,1,-1,1,-1,-1*K.1^2,-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,K.1^2,K.1^2,-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,K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,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,K.1^2,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,K.1^2,K.1^2,-1*K.1^3,K.1,-1*K.1^3,-1*K.1^3,-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,K.1,K.1,-1*K.1,K.1^3,-1*K.1,K.1,K.1^3,K.1^3,K.1,-1*K.1,-1*K.1^3,-1*K.1^3,K.1^3,K.1^3,-1*K.1,-1*K.1,K.1^3,-1*K.1,-1*K.1,K.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,-1,-1,-1,-1,-1,-1,-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.1^2,K.1^2,-1*K.1^2,K.1^2,-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*K.1^2,-1*K.1^2,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,K.1^2,-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,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,K.1,-1*K.1^3,K.1,K.1,K.1^3,K.1,-1*K.1,K.1,K.1,-1*K.1^3,-1*K.1^3,-1*K.1,-1*K.1^3,-1*K.1^3,K.1^3,-1*K.1,K.1^3,-1*K.1^3,-1*K.1,-1*K.1,-1*K.1^3,K.1^3,K.1,K.1,-1*K.1,-1*K.1,K.1^3,K.1^3,-1*K.1,K.1^3,K.1^3,-1*K.1^3]; 
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,-1,-1,-1,-1,-1,-1,1,-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.1^2,-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,K.1^2,K.1^2,-1*K.1^2,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,-1*K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,K.1^2,K.1^2,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,-1*K.1^2,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,K.1^3,K.1,-1*K.1^3,-1*K.1^3,K.1,K.1^3,-1*K.1^3,K.1^3,K.1^3,-1*K.1,-1*K.1,K.1^3,-1*K.1,-1*K.1,K.1,K.1^3,K.1,K.1,-1*K.1^3,-1*K.1^3,K.1,K.1,-1*K.1^3,-1*K.1^3,-1*K.1^3,K.1^3,-1*K.1,-1*K.1,K.1^3,-1*K.1,-1*K.1,K.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,-1,-1,-1,-1,-1,-1,1,-1,1,1,1,-1,1,-1,-1,-1,1,1,1,1,-1,1,-1,-1,-1,1,1,-1,-1,-1,K.1^2,K.1^2,-1*K.1^2,K.1^2,-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*K.1^2,-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,K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^2,-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,K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,K.1^2,K.1^2,-1*K.1,-1*K.1^3,K.1,K.1,-1*K.1^3,-1*K.1,K.1,-1*K.1,-1*K.1,K.1^3,K.1^3,-1*K.1,K.1^3,K.1^3,-1*K.1^3,-1*K.1,-1*K.1^3,-1*K.1^3,K.1,K.1,-1*K.1^3,-1*K.1^3,K.1,K.1,K.1,-1*K.1,K.1^3,K.1^3,-1*K.1,K.1^3,K.1^3,-1*K.1^3]; 
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,-1,-1,-1,-1,-1,-1,1,-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.1^2,-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,K.1^2,K.1^2,-1*K.1^2,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,-1*K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,K.1^2,K.1^2,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,-1*K.1^2,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*K.1^3,-1*K.1,K.1^3,K.1^3,-1*K.1,-1*K.1^3,K.1^3,-1*K.1^3,-1*K.1^3,K.1,K.1,-1*K.1^3,K.1,K.1,-1*K.1,-1*K.1^3,-1*K.1,-1*K.1,K.1^3,K.1^3,-1*K.1,-1*K.1,K.1^3,K.1^3,K.1^3,-1*K.1^3,K.1,K.1,-1*K.1^3,K.1,K.1,-1*K.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,-1,-1,-1,-1,-1,-1,1,-1,1,1,1,-1,1,-1,-1,-1,1,1,1,1,-1,1,-1,-1,-1,1,1,-1,-1,-1,K.1^2,K.1^2,-1*K.1^2,K.1^2,-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*K.1^2,-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,K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^2,-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,K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,K.1^2,K.1^2,K.1,K.1^3,-1*K.1,-1*K.1,K.1^3,K.1,-1*K.1,K.1,K.1,-1*K.1^3,-1*K.1^3,K.1,-1*K.1^3,-1*K.1^3,K.1^3,K.1,K.1^3,K.1^3,-1*K.1,-1*K.1,K.1^3,K.1^3,-1*K.1,-1*K.1,-1*K.1,K.1,-1*K.1^3,-1*K.1^3,K.1,-1*K.1^3,-1*K.1^3,K.1^3]; 
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,-1,-1,-1,-1,-1,-1,1,1,-1,-1,1,1,-1,1,-1,1,-1,1,-1,1,1,-1,-1,-1,1,-1,-1,1,-1,1,-1*K.1^2,-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,K.1^2,K.1^2,-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,K.1^2,K.1^2,K.1^2,K.1^2,-1*K.1^2,K.1^2,K.1^2,-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,-1*K.1^2,K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,K.1^3,-1*K.1,-1*K.1^3,-1*K.1^3,-1*K.1,-1*K.1^3,K.1^3,K.1^3,-1*K.1^3,K.1,K.1,-1*K.1^3,-1*K.1,-1*K.1,K.1,K.1^3,K.1,K.1,-1*K.1^3,-1*K.1^3,-1*K.1,-1*K.1,K.1^3,K.1^3,K.1^3,-1*K.1^3,K.1,K.1,K.1^3,-1*K.1,-1*K.1,K.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,-1,-1,-1,-1,-1,-1,1,1,-1,-1,1,1,-1,1,-1,1,-1,1,-1,1,1,-1,-1,-1,1,-1,-1,1,-1,1,K.1^2,K.1^2,-1*K.1^2,K.1^2,-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*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*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,K.1^2,K.1^2,K.1^2,-1*K.1^2,K.1^2,K.1^2,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,-1*K.1,K.1^3,K.1,K.1,K.1^3,K.1,-1*K.1,-1*K.1,K.1,-1*K.1^3,-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.1^3,K.1,K.1,K.1^3,K.1^3,-1*K.1,-1*K.1,-1*K.1,K.1,-1*K.1^3,-1*K.1^3,-1*K.1,K.1^3,K.1^3,-1*K.1^3]; 
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,-1,-1,-1,-1,-1,-1,1,1,-1,-1,1,1,-1,1,-1,1,-1,1,-1,1,1,-1,-1,-1,1,-1,-1,1,-1,1,-1*K.1^2,-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,K.1^2,K.1^2,-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,K.1^2,K.1^2,K.1^2,K.1^2,-1*K.1^2,K.1^2,K.1^2,-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,-1*K.1^2,K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,-1*K.1^3,K.1,K.1^3,K.1^3,K.1,K.1^3,-1*K.1^3,-1*K.1^3,K.1^3,-1*K.1,-1*K.1,K.1^3,K.1,K.1,-1*K.1,-1*K.1^3,-1*K.1,-1*K.1,K.1^3,K.1^3,K.1,K.1,-1*K.1^3,-1*K.1^3,-1*K.1^3,K.1^3,-1*K.1,-1*K.1,-1*K.1^3,K.1,K.1,-1*K.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,-1,-1,-1,-1,-1,-1,1,1,-1,-1,1,1,-1,1,-1,1,-1,1,-1,1,1,-1,-1,-1,1,-1,-1,1,-1,1,K.1^2,K.1^2,-1*K.1^2,K.1^2,-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*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*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,K.1^2,K.1^2,K.1^2,-1*K.1^2,K.1^2,K.1^2,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,K.1,-1*K.1^3,-1*K.1,-1*K.1,-1*K.1^3,-1*K.1,K.1,K.1,-1*K.1,K.1^3,K.1^3,-1*K.1,-1*K.1^3,-1*K.1^3,K.1^3,K.1,K.1^3,K.1^3,-1*K.1,-1*K.1,-1*K.1^3,-1*K.1^3,K.1,K.1,K.1,-1*K.1,K.1^3,K.1^3,K.1,-1*K.1^3,-1*K.1^3,K.1^3]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(16: Sparse := true);
S := [ K |1,-1,1,1,-1,1,-1,-1,-1*K.1^4,-1*K.1^4,K.1^4,K.1^4,-1*K.1^4,K.1^4,K.1^4,-1*K.1^4,-1,-1*K.1^4,-1,1,-1,K.1^4,-1,K.1^4,-1*K.1^4,-1*K.1^4,-1,1,1,1,K.1^4,-1,K.1^4,K.1^4,K.1^4,1,1,-1*K.1^4,-1*K.1^4,-1*K.1^4,K.1^6,K.1^6,K.1^2,-1*K.1^6,-1*K.1^2,K.1^2,K.1^6,-1*K.1^6,-1*K.1^6,K.1^2,-1*K.1^2,K.1^6,-1*K.1^2,-1*K.1^6,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,K.1^6,-1*K.1^6,K.1^6,K.1^6,K.1^2,-1*K.1^6,-1*K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,-1*K.1^6,-1*K.1^2,-1*K.1^6,-1*K.1^6,-1*K.1^2,K.1^2,K.1^6,K.1^2,K.1^2,K.1^6,K.1^6,-1*K.1^6,-1*K.1^3,K.1,K.1^7,-1*K.1^7,K.1,-1*K.1^3,-1*K.1^7,K.1^3,K.1^3,K.1^5,-1*K.1^5,K.1^3,K.1^5,-1*K.1^5,-1*K.1,K.1^3,K.1,K.1,-1*K.1^7,K.1^7,-1*K.1,-1*K.1,K.1^7,-1*K.1^7,K.1^7,-1*K.1^3,-1*K.1^5,K.1^5,-1*K.1^3,-1*K.1^5,K.1^5,-1*K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(16: Sparse := true);
S := [ K |1,-1,1,1,-1,1,-1,-1,K.1^4,K.1^4,-1*K.1^4,-1*K.1^4,K.1^4,-1*K.1^4,-1*K.1^4,K.1^4,-1,K.1^4,-1,1,-1,-1*K.1^4,-1,-1*K.1^4,K.1^4,K.1^4,-1,1,1,1,-1*K.1^4,-1,-1*K.1^4,-1*K.1^4,-1*K.1^4,1,1,K.1^4,K.1^4,K.1^4,-1*K.1^2,-1*K.1^2,-1*K.1^6,K.1^2,K.1^6,-1*K.1^6,-1*K.1^2,K.1^2,K.1^2,-1*K.1^6,K.1^6,-1*K.1^2,K.1^6,K.1^2,-1*K.1^6,K.1^6,-1*K.1^6,K.1^6,-1*K.1^2,K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^6,K.1^2,K.1^6,K.1^6,K.1^6,-1*K.1^6,K.1^2,K.1^6,K.1^2,K.1^2,K.1^6,-1*K.1^6,-1*K.1^2,-1*K.1^6,-1*K.1^6,-1*K.1^2,-1*K.1^2,K.1^2,K.1^5,-1*K.1^7,-1*K.1,K.1,-1*K.1^7,K.1^5,K.1,-1*K.1^5,-1*K.1^5,-1*K.1^3,K.1^3,-1*K.1^5,-1*K.1^3,K.1^3,K.1^7,-1*K.1^5,-1*K.1^7,-1*K.1^7,K.1,-1*K.1,K.1^7,K.1^7,-1*K.1,K.1,-1*K.1,K.1^5,K.1^3,-1*K.1^3,K.1^5,K.1^3,-1*K.1^3,K.1^7]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(16: Sparse := true);
S := [ K |1,-1,1,1,-1,1,-1,-1,-1*K.1^4,-1*K.1^4,K.1^4,K.1^4,-1*K.1^4,K.1^4,K.1^4,-1*K.1^4,-1,-1*K.1^4,-1,1,-1,K.1^4,-1,K.1^4,-1*K.1^4,-1*K.1^4,-1,1,1,1,K.1^4,-1,K.1^4,K.1^4,K.1^4,1,1,-1*K.1^4,-1*K.1^4,-1*K.1^4,K.1^6,K.1^6,K.1^2,-1*K.1^6,-1*K.1^2,K.1^2,K.1^6,-1*K.1^6,-1*K.1^6,K.1^2,-1*K.1^2,K.1^6,-1*K.1^2,-1*K.1^6,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,K.1^6,-1*K.1^6,K.1^6,K.1^6,K.1^2,-1*K.1^6,-1*K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,-1*K.1^6,-1*K.1^2,-1*K.1^6,-1*K.1^6,-1*K.1^2,K.1^2,K.1^6,K.1^2,K.1^2,K.1^6,K.1^6,-1*K.1^6,K.1^3,-1*K.1,-1*K.1^7,K.1^7,-1*K.1,K.1^3,K.1^7,-1*K.1^3,-1*K.1^3,-1*K.1^5,K.1^5,-1*K.1^3,-1*K.1^5,K.1^5,K.1,-1*K.1^3,-1*K.1,-1*K.1,K.1^7,-1*K.1^7,K.1,K.1,-1*K.1^7,K.1^7,-1*K.1^7,K.1^3,K.1^5,-1*K.1^5,K.1^3,K.1^5,-1*K.1^5,K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(16: Sparse := true);
S := [ K |1,-1,1,1,-1,1,-1,-1,K.1^4,K.1^4,-1*K.1^4,-1*K.1^4,K.1^4,-1*K.1^4,-1*K.1^4,K.1^4,-1,K.1^4,-1,1,-1,-1*K.1^4,-1,-1*K.1^4,K.1^4,K.1^4,-1,1,1,1,-1*K.1^4,-1,-1*K.1^4,-1*K.1^4,-1*K.1^4,1,1,K.1^4,K.1^4,K.1^4,-1*K.1^2,-1*K.1^2,-1*K.1^6,K.1^2,K.1^6,-1*K.1^6,-1*K.1^2,K.1^2,K.1^2,-1*K.1^6,K.1^6,-1*K.1^2,K.1^6,K.1^2,-1*K.1^6,K.1^6,-1*K.1^6,K.1^6,-1*K.1^2,K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^6,K.1^2,K.1^6,K.1^6,K.1^6,-1*K.1^6,K.1^2,K.1^6,K.1^2,K.1^2,K.1^6,-1*K.1^6,-1*K.1^2,-1*K.1^6,-1*K.1^6,-1*K.1^2,-1*K.1^2,K.1^2,-1*K.1^5,K.1^7,K.1,-1*K.1,K.1^7,-1*K.1^5,-1*K.1,K.1^5,K.1^5,K.1^3,-1*K.1^3,K.1^5,K.1^3,-1*K.1^3,-1*K.1^7,K.1^5,K.1^7,K.1^7,-1*K.1,K.1,-1*K.1^7,-1*K.1^7,K.1,-1*K.1,K.1,-1*K.1^5,-1*K.1^3,K.1^3,-1*K.1^5,-1*K.1^3,K.1^3,-1*K.1^7]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(16: Sparse := true);
S := [ K |1,-1,1,1,-1,1,-1,-1,-1*K.1^4,-1*K.1^4,K.1^4,K.1^4,-1*K.1^4,K.1^4,K.1^4,-1*K.1^4,-1,-1*K.1^4,-1,1,-1,K.1^4,-1,K.1^4,-1*K.1^4,-1*K.1^4,-1,1,1,1,K.1^4,-1,K.1^4,K.1^4,K.1^4,1,1,-1*K.1^4,-1*K.1^4,-1*K.1^4,-1*K.1^6,-1*K.1^6,-1*K.1^2,K.1^6,K.1^2,-1*K.1^2,-1*K.1^6,K.1^6,K.1^6,-1*K.1^2,K.1^2,-1*K.1^6,K.1^2,K.1^6,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,-1*K.1^6,K.1^6,-1*K.1^6,-1*K.1^6,-1*K.1^2,K.1^6,K.1^2,K.1^2,K.1^2,-1*K.1^2,K.1^6,K.1^2,K.1^6,K.1^6,K.1^2,-1*K.1^2,-1*K.1^6,-1*K.1^2,-1*K.1^2,-1*K.1^6,-1*K.1^6,K.1^6,K.1^7,K.1^5,K.1^3,-1*K.1^3,K.1^5,K.1^7,-1*K.1^3,-1*K.1^7,-1*K.1^7,-1*K.1,K.1,-1*K.1^7,-1*K.1,K.1,-1*K.1^5,-1*K.1^7,K.1^5,K.1^5,-1*K.1^3,K.1^3,-1*K.1^5,-1*K.1^5,K.1^3,-1*K.1^3,K.1^3,K.1^7,K.1,-1*K.1,K.1^7,K.1,-1*K.1,-1*K.1^5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(16: Sparse := true);
S := [ K |1,-1,1,1,-1,1,-1,-1,K.1^4,K.1^4,-1*K.1^4,-1*K.1^4,K.1^4,-1*K.1^4,-1*K.1^4,K.1^4,-1,K.1^4,-1,1,-1,-1*K.1^4,-1,-1*K.1^4,K.1^4,K.1^4,-1,1,1,1,-1*K.1^4,-1,-1*K.1^4,-1*K.1^4,-1*K.1^4,1,1,K.1^4,K.1^4,K.1^4,K.1^2,K.1^2,K.1^6,-1*K.1^2,-1*K.1^6,K.1^6,K.1^2,-1*K.1^2,-1*K.1^2,K.1^6,-1*K.1^6,K.1^2,-1*K.1^6,-1*K.1^2,K.1^6,-1*K.1^6,K.1^6,-1*K.1^6,K.1^2,-1*K.1^2,K.1^2,K.1^2,K.1^6,-1*K.1^2,-1*K.1^6,-1*K.1^6,-1*K.1^6,K.1^6,-1*K.1^2,-1*K.1^6,-1*K.1^2,-1*K.1^2,-1*K.1^6,K.1^6,K.1^2,K.1^6,K.1^6,K.1^2,K.1^2,-1*K.1^2,-1*K.1,-1*K.1^3,-1*K.1^5,K.1^5,-1*K.1^3,-1*K.1,K.1^5,K.1,K.1,K.1^7,-1*K.1^7,K.1,K.1^7,-1*K.1^7,K.1^3,K.1,-1*K.1^3,-1*K.1^3,K.1^5,-1*K.1^5,K.1^3,K.1^3,-1*K.1^5,K.1^5,-1*K.1^5,-1*K.1,-1*K.1^7,K.1^7,-1*K.1,-1*K.1^7,K.1^7,K.1^3]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(16: Sparse := true);
S := [ K |1,-1,1,1,-1,1,-1,-1,-1*K.1^4,-1*K.1^4,K.1^4,K.1^4,-1*K.1^4,K.1^4,K.1^4,-1*K.1^4,-1,-1*K.1^4,-1,1,-1,K.1^4,-1,K.1^4,-1*K.1^4,-1*K.1^4,-1,1,1,1,K.1^4,-1,K.1^4,K.1^4,K.1^4,1,1,-1*K.1^4,-1*K.1^4,-1*K.1^4,-1*K.1^6,-1*K.1^6,-1*K.1^2,K.1^6,K.1^2,-1*K.1^2,-1*K.1^6,K.1^6,K.1^6,-1*K.1^2,K.1^2,-1*K.1^6,K.1^2,K.1^6,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,-1*K.1^6,K.1^6,-1*K.1^6,-1*K.1^6,-1*K.1^2,K.1^6,K.1^2,K.1^2,K.1^2,-1*K.1^2,K.1^6,K.1^2,K.1^6,K.1^6,K.1^2,-1*K.1^2,-1*K.1^6,-1*K.1^2,-1*K.1^2,-1*K.1^6,-1*K.1^6,K.1^6,-1*K.1^7,-1*K.1^5,-1*K.1^3,K.1^3,-1*K.1^5,-1*K.1^7,K.1^3,K.1^7,K.1^7,K.1,-1*K.1,K.1^7,K.1,-1*K.1,K.1^5,K.1^7,-1*K.1^5,-1*K.1^5,K.1^3,-1*K.1^3,K.1^5,K.1^5,-1*K.1^3,K.1^3,-1*K.1^3,-1*K.1^7,-1*K.1,K.1,-1*K.1^7,-1*K.1,K.1,K.1^5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(16: Sparse := true);
S := [ K |1,-1,1,1,-1,1,-1,-1,K.1^4,K.1^4,-1*K.1^4,-1*K.1^4,K.1^4,-1*K.1^4,-1*K.1^4,K.1^4,-1,K.1^4,-1,1,-1,-1*K.1^4,-1,-1*K.1^4,K.1^4,K.1^4,-1,1,1,1,-1*K.1^4,-1,-1*K.1^4,-1*K.1^4,-1*K.1^4,1,1,K.1^4,K.1^4,K.1^4,K.1^2,K.1^2,K.1^6,-1*K.1^2,-1*K.1^6,K.1^6,K.1^2,-1*K.1^2,-1*K.1^2,K.1^6,-1*K.1^6,K.1^2,-1*K.1^6,-1*K.1^2,K.1^6,-1*K.1^6,K.1^6,-1*K.1^6,K.1^2,-1*K.1^2,K.1^2,K.1^2,K.1^6,-1*K.1^2,-1*K.1^6,-1*K.1^6,-1*K.1^6,K.1^6,-1*K.1^2,-1*K.1^6,-1*K.1^2,-1*K.1^2,-1*K.1^6,K.1^6,K.1^2,K.1^6,K.1^6,K.1^2,K.1^2,-1*K.1^2,K.1,K.1^3,K.1^5,-1*K.1^5,K.1^3,K.1,-1*K.1^5,-1*K.1,-1*K.1,-1*K.1^7,K.1^7,-1*K.1,-1*K.1^7,K.1^7,-1*K.1^3,-1*K.1,K.1^3,K.1^3,-1*K.1^5,K.1^5,-1*K.1^3,-1*K.1^3,K.1^5,-1*K.1^5,K.1^5,K.1,K.1^7,-1*K.1^7,K.1,K.1^7,-1*K.1^7,-1*K.1^3]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(16: Sparse := true);
S := [ K |1,-1,1,1,-1,1,-1,-1,-1*K.1^4,-1*K.1^4,K.1^4,K.1^4,-1*K.1^4,K.1^4,K.1^4,-1*K.1^4,-1,K.1^4,1,-1,-1,-1*K.1^4,1,-1*K.1^4,-1*K.1^4,K.1^4,1,1,-1,1,-1*K.1^4,1,K.1^4,K.1^4,-1*K.1^4,-1,-1,K.1^4,-1*K.1^4,K.1^4,K.1^6,K.1^6,K.1^2,-1*K.1^6,-1*K.1^2,K.1^2,K.1^6,-1*K.1^6,-1*K.1^6,K.1^2,-1*K.1^2,K.1^6,-1*K.1^2,-1*K.1^6,K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,-1*K.1^6,K.1^6,-1*K.1^6,-1*K.1^6,-1*K.1^2,K.1^6,-1*K.1^2,K.1^2,K.1^2,K.1^2,K.1^6,-1*K.1^2,-1*K.1^6,-1*K.1^6,K.1^2,K.1^2,K.1^6,-1*K.1^2,-1*K.1^2,-1*K.1^6,K.1^6,K.1^6,-1*K.1^3,-1*K.1,K.1^7,-1*K.1^7,-1*K.1,K.1^3,K.1^7,K.1^3,-1*K.1^3,-1*K.1^5,K.1^5,-1*K.1^3,K.1^5,-1*K.1^5,-1*K.1,K.1^3,K.1,K.1,-1*K.1^7,K.1^7,K.1,K.1,-1*K.1^7,K.1^7,-1*K.1^7,K.1^3,K.1^5,-1*K.1^5,-1*K.1^3,-1*K.1^5,K.1^5,-1*K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(16: Sparse := true);
S := [ K |1,-1,1,1,-1,1,-1,-1,K.1^4,K.1^4,-1*K.1^4,-1*K.1^4,K.1^4,-1*K.1^4,-1*K.1^4,K.1^4,-1,-1*K.1^4,1,-1,-1,K.1^4,1,K.1^4,K.1^4,-1*K.1^4,1,1,-1,1,K.1^4,1,-1*K.1^4,-1*K.1^4,K.1^4,-1,-1,-1*K.1^4,K.1^4,-1*K.1^4,-1*K.1^2,-1*K.1^2,-1*K.1^6,K.1^2,K.1^6,-1*K.1^6,-1*K.1^2,K.1^2,K.1^2,-1*K.1^6,K.1^6,-1*K.1^2,K.1^6,K.1^2,-1*K.1^6,K.1^6,K.1^6,-1*K.1^6,K.1^2,-1*K.1^2,K.1^2,K.1^2,K.1^6,-1*K.1^2,K.1^6,-1*K.1^6,-1*K.1^6,-1*K.1^6,-1*K.1^2,K.1^6,K.1^2,K.1^2,-1*K.1^6,-1*K.1^6,-1*K.1^2,K.1^6,K.1^6,K.1^2,-1*K.1^2,-1*K.1^2,K.1^5,K.1^7,-1*K.1,K.1,K.1^7,-1*K.1^5,-1*K.1,-1*K.1^5,K.1^5,K.1^3,-1*K.1^3,K.1^5,-1*K.1^3,K.1^3,K.1^7,-1*K.1^5,-1*K.1^7,-1*K.1^7,K.1,-1*K.1,-1*K.1^7,-1*K.1^7,K.1,-1*K.1,K.1,-1*K.1^5,-1*K.1^3,K.1^3,K.1^5,K.1^3,-1*K.1^3,K.1^7]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(16: Sparse := true);
S := [ K |1,-1,1,1,-1,1,-1,-1,-1*K.1^4,-1*K.1^4,K.1^4,K.1^4,-1*K.1^4,K.1^4,K.1^4,-1*K.1^4,-1,K.1^4,1,-1,-1,-1*K.1^4,1,-1*K.1^4,-1*K.1^4,K.1^4,1,1,-1,1,-1*K.1^4,1,K.1^4,K.1^4,-1*K.1^4,-1,-1,K.1^4,-1*K.1^4,K.1^4,K.1^6,K.1^6,K.1^2,-1*K.1^6,-1*K.1^2,K.1^2,K.1^6,-1*K.1^6,-1*K.1^6,K.1^2,-1*K.1^2,K.1^6,-1*K.1^2,-1*K.1^6,K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,-1*K.1^6,K.1^6,-1*K.1^6,-1*K.1^6,-1*K.1^2,K.1^6,-1*K.1^2,K.1^2,K.1^2,K.1^2,K.1^6,-1*K.1^2,-1*K.1^6,-1*K.1^6,K.1^2,K.1^2,K.1^6,-1*K.1^2,-1*K.1^2,-1*K.1^6,K.1^6,K.1^6,K.1^3,K.1,-1*K.1^7,K.1^7,K.1,-1*K.1^3,-1*K.1^7,-1*K.1^3,K.1^3,K.1^5,-1*K.1^5,K.1^3,-1*K.1^5,K.1^5,K.1,-1*K.1^3,-1*K.1,-1*K.1,K.1^7,-1*K.1^7,-1*K.1,-1*K.1,K.1^7,-1*K.1^7,K.1^7,-1*K.1^3,-1*K.1^5,K.1^5,K.1^3,K.1^5,-1*K.1^5,K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(16: Sparse := true);
S := [ K |1,-1,1,1,-1,1,-1,-1,K.1^4,K.1^4,-1*K.1^4,-1*K.1^4,K.1^4,-1*K.1^4,-1*K.1^4,K.1^4,-1,-1*K.1^4,1,-1,-1,K.1^4,1,K.1^4,K.1^4,-1*K.1^4,1,1,-1,1,K.1^4,1,-1*K.1^4,-1*K.1^4,K.1^4,-1,-1,-1*K.1^4,K.1^4,-1*K.1^4,-1*K.1^2,-1*K.1^2,-1*K.1^6,K.1^2,K.1^6,-1*K.1^6,-1*K.1^2,K.1^2,K.1^2,-1*K.1^6,K.1^6,-1*K.1^2,K.1^6,K.1^2,-1*K.1^6,K.1^6,K.1^6,-1*K.1^6,K.1^2,-1*K.1^2,K.1^2,K.1^2,K.1^6,-1*K.1^2,K.1^6,-1*K.1^6,-1*K.1^6,-1*K.1^6,-1*K.1^2,K.1^6,K.1^2,K.1^2,-1*K.1^6,-1*K.1^6,-1*K.1^2,K.1^6,K.1^6,K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^5,-1*K.1^7,K.1,-1*K.1,-1*K.1^7,K.1^5,K.1,K.1^5,-1*K.1^5,-1*K.1^3,K.1^3,-1*K.1^5,K.1^3,-1*K.1^3,-1*K.1^7,K.1^5,K.1^7,K.1^7,-1*K.1,K.1,K.1^7,K.1^7,-1*K.1,K.1,-1*K.1,K.1^5,K.1^3,-1*K.1^3,-1*K.1^5,-1*K.1^3,K.1^3,-1*K.1^7]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(16: Sparse := true);
S := [ K |1,-1,1,1,-1,1,-1,-1,-1*K.1^4,-1*K.1^4,K.1^4,K.1^4,-1*K.1^4,K.1^4,K.1^4,-1*K.1^4,-1,K.1^4,1,-1,-1,-1*K.1^4,1,-1*K.1^4,-1*K.1^4,K.1^4,1,1,-1,1,-1*K.1^4,1,K.1^4,K.1^4,-1*K.1^4,-1,-1,K.1^4,-1*K.1^4,K.1^4,-1*K.1^6,-1*K.1^6,-1*K.1^2,K.1^6,K.1^2,-1*K.1^2,-1*K.1^6,K.1^6,K.1^6,-1*K.1^2,K.1^2,-1*K.1^6,K.1^2,K.1^6,-1*K.1^2,K.1^2,K.1^2,-1*K.1^2,K.1^6,-1*K.1^6,K.1^6,K.1^6,K.1^2,-1*K.1^6,K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^6,K.1^2,K.1^6,K.1^6,-1*K.1^2,-1*K.1^2,-1*K.1^6,K.1^2,K.1^2,K.1^6,-1*K.1^6,-1*K.1^6,K.1^7,-1*K.1^5,K.1^3,-1*K.1^3,-1*K.1^5,-1*K.1^7,K.1^3,-1*K.1^7,K.1^7,K.1,-1*K.1,K.1^7,-1*K.1,K.1,-1*K.1^5,-1*K.1^7,K.1^5,K.1^5,-1*K.1^3,K.1^3,K.1^5,K.1^5,-1*K.1^3,K.1^3,-1*K.1^3,-1*K.1^7,-1*K.1,K.1,K.1^7,K.1,-1*K.1,-1*K.1^5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(16: Sparse := true);
S := [ K |1,-1,1,1,-1,1,-1,-1,K.1^4,K.1^4,-1*K.1^4,-1*K.1^4,K.1^4,-1*K.1^4,-1*K.1^4,K.1^4,-1,-1*K.1^4,1,-1,-1,K.1^4,1,K.1^4,K.1^4,-1*K.1^4,1,1,-1,1,K.1^4,1,-1*K.1^4,-1*K.1^4,K.1^4,-1,-1,-1*K.1^4,K.1^4,-1*K.1^4,K.1^2,K.1^2,K.1^6,-1*K.1^2,-1*K.1^6,K.1^6,K.1^2,-1*K.1^2,-1*K.1^2,K.1^6,-1*K.1^6,K.1^2,-1*K.1^6,-1*K.1^2,K.1^6,-1*K.1^6,-1*K.1^6,K.1^6,-1*K.1^2,K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^6,K.1^2,-1*K.1^6,K.1^6,K.1^6,K.1^6,K.1^2,-1*K.1^6,-1*K.1^2,-1*K.1^2,K.1^6,K.1^6,K.1^2,-1*K.1^6,-1*K.1^6,-1*K.1^2,K.1^2,K.1^2,-1*K.1,K.1^3,-1*K.1^5,K.1^5,K.1^3,K.1,-1*K.1^5,K.1,-1*K.1,-1*K.1^7,K.1^7,-1*K.1,K.1^7,-1*K.1^7,K.1^3,K.1,-1*K.1^3,-1*K.1^3,K.1^5,-1*K.1^5,-1*K.1^3,-1*K.1^3,K.1^5,-1*K.1^5,K.1^5,K.1,K.1^7,-1*K.1^7,-1*K.1,-1*K.1^7,K.1^7,K.1^3]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(16: Sparse := true);
S := [ K |1,-1,1,1,-1,1,-1,-1,-1*K.1^4,-1*K.1^4,K.1^4,K.1^4,-1*K.1^4,K.1^4,K.1^4,-1*K.1^4,-1,K.1^4,1,-1,-1,-1*K.1^4,1,-1*K.1^4,-1*K.1^4,K.1^4,1,1,-1,1,-1*K.1^4,1,K.1^4,K.1^4,-1*K.1^4,-1,-1,K.1^4,-1*K.1^4,K.1^4,-1*K.1^6,-1*K.1^6,-1*K.1^2,K.1^6,K.1^2,-1*K.1^2,-1*K.1^6,K.1^6,K.1^6,-1*K.1^2,K.1^2,-1*K.1^6,K.1^2,K.1^6,-1*K.1^2,K.1^2,K.1^2,-1*K.1^2,K.1^6,-1*K.1^6,K.1^6,K.1^6,K.1^2,-1*K.1^6,K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^6,K.1^2,K.1^6,K.1^6,-1*K.1^2,-1*K.1^2,-1*K.1^6,K.1^2,K.1^2,K.1^6,-1*K.1^6,-1*K.1^6,-1*K.1^7,K.1^5,-1*K.1^3,K.1^3,K.1^5,K.1^7,-1*K.1^3,K.1^7,-1*K.1^7,-1*K.1,K.1,-1*K.1^7,K.1,-1*K.1,K.1^5,K.1^7,-1*K.1^5,-1*K.1^5,K.1^3,-1*K.1^3,-1*K.1^5,-1*K.1^5,K.1^3,-1*K.1^3,K.1^3,K.1^7,K.1,-1*K.1,-1*K.1^7,-1*K.1,K.1,K.1^5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(16: Sparse := true);
S := [ K |1,-1,1,1,-1,1,-1,-1,K.1^4,K.1^4,-1*K.1^4,-1*K.1^4,K.1^4,-1*K.1^4,-1*K.1^4,K.1^4,-1,-1*K.1^4,1,-1,-1,K.1^4,1,K.1^4,K.1^4,-1*K.1^4,1,1,-1,1,K.1^4,1,-1*K.1^4,-1*K.1^4,K.1^4,-1,-1,-1*K.1^4,K.1^4,-1*K.1^4,K.1^2,K.1^2,K.1^6,-1*K.1^2,-1*K.1^6,K.1^6,K.1^2,-1*K.1^2,-1*K.1^2,K.1^6,-1*K.1^6,K.1^2,-1*K.1^6,-1*K.1^2,K.1^6,-1*K.1^6,-1*K.1^6,K.1^6,-1*K.1^2,K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^6,K.1^2,-1*K.1^6,K.1^6,K.1^6,K.1^6,K.1^2,-1*K.1^6,-1*K.1^2,-1*K.1^2,K.1^6,K.1^6,K.1^2,-1*K.1^6,-1*K.1^6,-1*K.1^2,K.1^2,K.1^2,K.1,-1*K.1^3,K.1^5,-1*K.1^5,-1*K.1^3,-1*K.1,K.1^5,-1*K.1,K.1,K.1^7,-1*K.1^7,K.1,-1*K.1^7,K.1^7,-1*K.1^3,-1*K.1,K.1^3,K.1^3,-1*K.1^5,K.1^5,K.1^3,K.1^3,-1*K.1^5,K.1^5,-1*K.1^5,-1*K.1,-1*K.1^7,K.1^7,K.1,K.1^7,-1*K.1^7,-1*K.1^3]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(16: Sparse := true);
S := [ K |1,-1,1,1,-1,1,-1,-1,-1*K.1^4,-1*K.1^4,K.1^4,K.1^4,-1*K.1^4,K.1^4,K.1^4,-1*K.1^4,1,-1*K.1^4,-1,-1,1,K.1^4,-1,K.1^4,K.1^4,-1*K.1^4,1,-1,1,-1,-1*K.1^4,1,-1*K.1^4,-1*K.1^4,-1*K.1^4,1,-1,K.1^4,K.1^4,K.1^4,K.1^6,K.1^6,K.1^2,-1*K.1^6,-1*K.1^2,K.1^2,K.1^6,-1*K.1^6,-1*K.1^6,K.1^2,-1*K.1^2,K.1^6,-1*K.1^2,-1*K.1^6,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,K.1^6,K.1^6,-1*K.1^6,K.1^6,-1*K.1^2,-1*K.1^6,K.1^2,K.1^2,K.1^2,-1*K.1^2,K.1^6,K.1^2,K.1^6,K.1^6,-1*K.1^2,-1*K.1^2,-1*K.1^6,-1*K.1^2,K.1^2,-1*K.1^6,-1*K.1^6,-1*K.1^6,-1*K.1^3,K.1,-1*K.1^7,K.1^7,-1*K.1,K.1^3,K.1^7,K.1^3,-1*K.1^3,-1*K.1^5,K.1^5,K.1^3,K.1^5,-1*K.1^5,-1*K.1,-1*K.1^3,K.1,-1*K.1,-1*K.1^7,K.1^7,-1*K.1,K.1,K.1^7,-1*K.1^7,-1*K.1^7,-1*K.1^3,-1*K.1^5,K.1^5,K.1^3,K.1^5,-1*K.1^5,K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(16: Sparse := true);
S := [ K |1,-1,1,1,-1,1,-1,-1,K.1^4,K.1^4,-1*K.1^4,-1*K.1^4,K.1^4,-1*K.1^4,-1*K.1^4,K.1^4,1,K.1^4,-1,-1,1,-1*K.1^4,-1,-1*K.1^4,-1*K.1^4,K.1^4,1,-1,1,-1,K.1^4,1,K.1^4,K.1^4,K.1^4,1,-1,-1*K.1^4,-1*K.1^4,-1*K.1^4,-1*K.1^2,-1*K.1^2,-1*K.1^6,K.1^2,K.1^6,-1*K.1^6,-1*K.1^2,K.1^2,K.1^2,-1*K.1^6,K.1^6,-1*K.1^2,K.1^6,K.1^2,-1*K.1^6,K.1^6,-1*K.1^6,K.1^6,-1*K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,K.1^6,K.1^2,-1*K.1^6,-1*K.1^6,-1*K.1^6,K.1^6,-1*K.1^2,-1*K.1^6,-1*K.1^2,-1*K.1^2,K.1^6,K.1^6,K.1^2,K.1^6,-1*K.1^6,K.1^2,K.1^2,K.1^2,K.1^5,-1*K.1^7,K.1,-1*K.1,K.1^7,-1*K.1^5,-1*K.1,-1*K.1^5,K.1^5,K.1^3,-1*K.1^3,-1*K.1^5,-1*K.1^3,K.1^3,K.1^7,K.1^5,-1*K.1^7,K.1^7,K.1,-1*K.1,K.1^7,-1*K.1^7,-1*K.1,K.1,K.1,K.1^5,K.1^3,-1*K.1^3,-1*K.1^5,-1*K.1^3,K.1^3,-1*K.1^7]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(16: Sparse := true);
S := [ K |1,-1,1,1,-1,1,-1,-1,-1*K.1^4,-1*K.1^4,K.1^4,K.1^4,-1*K.1^4,K.1^4,K.1^4,-1*K.1^4,1,-1*K.1^4,-1,-1,1,K.1^4,-1,K.1^4,K.1^4,-1*K.1^4,1,-1,1,-1,-1*K.1^4,1,-1*K.1^4,-1*K.1^4,-1*K.1^4,1,-1,K.1^4,K.1^4,K.1^4,K.1^6,K.1^6,K.1^2,-1*K.1^6,-1*K.1^2,K.1^2,K.1^6,-1*K.1^6,-1*K.1^6,K.1^2,-1*K.1^2,K.1^6,-1*K.1^2,-1*K.1^6,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,K.1^6,K.1^6,-1*K.1^6,K.1^6,-1*K.1^2,-1*K.1^6,K.1^2,K.1^2,K.1^2,-1*K.1^2,K.1^6,K.1^2,K.1^6,K.1^6,-1*K.1^2,-1*K.1^2,-1*K.1^6,-1*K.1^2,K.1^2,-1*K.1^6,-1*K.1^6,-1*K.1^6,K.1^3,-1*K.1,K.1^7,-1*K.1^7,K.1,-1*K.1^3,-1*K.1^7,-1*K.1^3,K.1^3,K.1^5,-1*K.1^5,-1*K.1^3,-1*K.1^5,K.1^5,K.1,K.1^3,-1*K.1,K.1,K.1^7,-1*K.1^7,K.1,-1*K.1,-1*K.1^7,K.1^7,K.1^7,K.1^3,K.1^5,-1*K.1^5,-1*K.1^3,-1*K.1^5,K.1^5,-1*K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(16: Sparse := true);
S := [ K |1,-1,1,1,-1,1,-1,-1,K.1^4,K.1^4,-1*K.1^4,-1*K.1^4,K.1^4,-1*K.1^4,-1*K.1^4,K.1^4,1,K.1^4,-1,-1,1,-1*K.1^4,-1,-1*K.1^4,-1*K.1^4,K.1^4,1,-1,1,-1,K.1^4,1,K.1^4,K.1^4,K.1^4,1,-1,-1*K.1^4,-1*K.1^4,-1*K.1^4,-1*K.1^2,-1*K.1^2,-1*K.1^6,K.1^2,K.1^6,-1*K.1^6,-1*K.1^2,K.1^2,K.1^2,-1*K.1^6,K.1^6,-1*K.1^2,K.1^6,K.1^2,-1*K.1^6,K.1^6,-1*K.1^6,K.1^6,-1*K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,K.1^6,K.1^2,-1*K.1^6,-1*K.1^6,-1*K.1^6,K.1^6,-1*K.1^2,-1*K.1^6,-1*K.1^2,-1*K.1^2,K.1^6,K.1^6,K.1^2,K.1^6,-1*K.1^6,K.1^2,K.1^2,K.1^2,-1*K.1^5,K.1^7,-1*K.1,K.1,-1*K.1^7,K.1^5,K.1,K.1^5,-1*K.1^5,-1*K.1^3,K.1^3,K.1^5,K.1^3,-1*K.1^3,-1*K.1^7,-1*K.1^5,K.1^7,-1*K.1^7,-1*K.1,K.1,-1*K.1^7,K.1^7,K.1,-1*K.1,-1*K.1,-1*K.1^5,-1*K.1^3,K.1^3,K.1^5,K.1^3,-1*K.1^3,K.1^7]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(16: Sparse := true);
S := [ K |1,-1,1,1,-1,1,-1,-1,-1*K.1^4,-1*K.1^4,K.1^4,K.1^4,-1*K.1^4,K.1^4,K.1^4,-1*K.1^4,1,-1*K.1^4,-1,-1,1,K.1^4,-1,K.1^4,K.1^4,-1*K.1^4,1,-1,1,-1,-1*K.1^4,1,-1*K.1^4,-1*K.1^4,-1*K.1^4,1,-1,K.1^4,K.1^4,K.1^4,-1*K.1^6,-1*K.1^6,-1*K.1^2,K.1^6,K.1^2,-1*K.1^2,-1*K.1^6,K.1^6,K.1^6,-1*K.1^2,K.1^2,-1*K.1^6,K.1^2,K.1^6,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,-1*K.1^6,-1*K.1^6,K.1^6,-1*K.1^6,K.1^2,K.1^6,-1*K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,-1*K.1^6,-1*K.1^2,-1*K.1^6,-1*K.1^6,K.1^2,K.1^2,K.1^6,K.1^2,-1*K.1^2,K.1^6,K.1^6,K.1^6,K.1^7,K.1^5,-1*K.1^3,K.1^3,-1*K.1^5,-1*K.1^7,K.1^3,-1*K.1^7,K.1^7,K.1,-1*K.1,-1*K.1^7,-1*K.1,K.1,-1*K.1^5,K.1^7,K.1^5,-1*K.1^5,-1*K.1^3,K.1^3,-1*K.1^5,K.1^5,K.1^3,-1*K.1^3,-1*K.1^3,K.1^7,K.1,-1*K.1,-1*K.1^7,-1*K.1,K.1,K.1^5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(16: Sparse := true);
S := [ K |1,-1,1,1,-1,1,-1,-1,K.1^4,K.1^4,-1*K.1^4,-1*K.1^4,K.1^4,-1*K.1^4,-1*K.1^4,K.1^4,1,K.1^4,-1,-1,1,-1*K.1^4,-1,-1*K.1^4,-1*K.1^4,K.1^4,1,-1,1,-1,K.1^4,1,K.1^4,K.1^4,K.1^4,1,-1,-1*K.1^4,-1*K.1^4,-1*K.1^4,K.1^2,K.1^2,K.1^6,-1*K.1^2,-1*K.1^6,K.1^6,K.1^2,-1*K.1^2,-1*K.1^2,K.1^6,-1*K.1^6,K.1^2,-1*K.1^6,-1*K.1^2,K.1^6,-1*K.1^6,K.1^6,-1*K.1^6,K.1^2,K.1^2,-1*K.1^2,K.1^2,-1*K.1^6,-1*K.1^2,K.1^6,K.1^6,K.1^6,-1*K.1^6,K.1^2,K.1^6,K.1^2,K.1^2,-1*K.1^6,-1*K.1^6,-1*K.1^2,-1*K.1^6,K.1^6,-1*K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1,-1*K.1^3,K.1^5,-1*K.1^5,K.1^3,K.1,-1*K.1^5,K.1,-1*K.1,-1*K.1^7,K.1^7,K.1,K.1^7,-1*K.1^7,K.1^3,-1*K.1,-1*K.1^3,K.1^3,K.1^5,-1*K.1^5,K.1^3,-1*K.1^3,-1*K.1^5,K.1^5,K.1^5,-1*K.1,-1*K.1^7,K.1^7,K.1,K.1^7,-1*K.1^7,-1*K.1^3]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(16: Sparse := true);
S := [ K |1,-1,1,1,-1,1,-1,-1,-1*K.1^4,-1*K.1^4,K.1^4,K.1^4,-1*K.1^4,K.1^4,K.1^4,-1*K.1^4,1,-1*K.1^4,-1,-1,1,K.1^4,-1,K.1^4,K.1^4,-1*K.1^4,1,-1,1,-1,-1*K.1^4,1,-1*K.1^4,-1*K.1^4,-1*K.1^4,1,-1,K.1^4,K.1^4,K.1^4,-1*K.1^6,-1*K.1^6,-1*K.1^2,K.1^6,K.1^2,-1*K.1^2,-1*K.1^6,K.1^6,K.1^6,-1*K.1^2,K.1^2,-1*K.1^6,K.1^2,K.1^6,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,-1*K.1^6,-1*K.1^6,K.1^6,-1*K.1^6,K.1^2,K.1^6,-1*K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,-1*K.1^6,-1*K.1^2,-1*K.1^6,-1*K.1^6,K.1^2,K.1^2,K.1^6,K.1^2,-1*K.1^2,K.1^6,K.1^6,K.1^6,-1*K.1^7,-1*K.1^5,K.1^3,-1*K.1^3,K.1^5,K.1^7,-1*K.1^3,K.1^7,-1*K.1^7,-1*K.1,K.1,K.1^7,K.1,-1*K.1,K.1^5,-1*K.1^7,-1*K.1^5,K.1^5,K.1^3,-1*K.1^3,K.1^5,-1*K.1^5,-1*K.1^3,K.1^3,K.1^3,-1*K.1^7,-1*K.1,K.1,K.1^7,K.1,-1*K.1,-1*K.1^5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(16: Sparse := true);
S := [ K |1,-1,1,1,-1,1,-1,-1,K.1^4,K.1^4,-1*K.1^4,-1*K.1^4,K.1^4,-1*K.1^4,-1*K.1^4,K.1^4,1,K.1^4,-1,-1,1,-1*K.1^4,-1,-1*K.1^4,-1*K.1^4,K.1^4,1,-1,1,-1,K.1^4,1,K.1^4,K.1^4,K.1^4,1,-1,-1*K.1^4,-1*K.1^4,-1*K.1^4,K.1^2,K.1^2,K.1^6,-1*K.1^2,-1*K.1^6,K.1^6,K.1^2,-1*K.1^2,-1*K.1^2,K.1^6,-1*K.1^6,K.1^2,-1*K.1^6,-1*K.1^2,K.1^6,-1*K.1^6,K.1^6,-1*K.1^6,K.1^2,K.1^2,-1*K.1^2,K.1^2,-1*K.1^6,-1*K.1^2,K.1^6,K.1^6,K.1^6,-1*K.1^6,K.1^2,K.1^6,K.1^2,K.1^2,-1*K.1^6,-1*K.1^6,-1*K.1^2,-1*K.1^6,K.1^6,-1*K.1^2,-1*K.1^2,-1*K.1^2,K.1,K.1^3,-1*K.1^5,K.1^5,-1*K.1^3,-1*K.1,K.1^5,-1*K.1,K.1,K.1^7,-1*K.1^7,-1*K.1,-1*K.1^7,K.1^7,-1*K.1^3,K.1,K.1^3,-1*K.1^3,-1*K.1^5,K.1^5,-1*K.1^3,K.1^3,K.1^5,-1*K.1^5,-1*K.1^5,K.1,K.1^7,-1*K.1^7,-1*K.1,-1*K.1^7,K.1^7,K.1^3]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(16: Sparse := true);
S := [ K |1,-1,1,1,-1,1,-1,-1,-1*K.1^4,-1*K.1^4,K.1^4,K.1^4,-1*K.1^4,K.1^4,K.1^4,-1*K.1^4,1,K.1^4,1,1,1,-1*K.1^4,1,-1*K.1^4,K.1^4,K.1^4,-1,-1,-1,-1,K.1^4,-1,-1*K.1^4,-1*K.1^4,K.1^4,-1,1,-1*K.1^4,K.1^4,-1*K.1^4,K.1^6,K.1^6,K.1^2,-1*K.1^6,-1*K.1^2,K.1^2,K.1^6,-1*K.1^6,-1*K.1^6,K.1^2,-1*K.1^2,K.1^6,-1*K.1^2,-1*K.1^6,K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,-1*K.1^6,-1*K.1^6,K.1^6,-1*K.1^6,K.1^2,K.1^6,K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^6,K.1^2,K.1^6,K.1^6,K.1^2,-1*K.1^2,-1*K.1^6,K.1^2,-1*K.1^2,K.1^6,-1*K.1^6,K.1^6,-1*K.1^3,-1*K.1,-1*K.1^7,K.1^7,K.1,-1*K.1^3,-1*K.1^7,K.1^3,K.1^3,K.1^5,-1*K.1^5,-1*K.1^3,K.1^5,-1*K.1^5,-1*K.1,-1*K.1^3,K.1,-1*K.1,-1*K.1^7,K.1^7,K.1,-1*K.1,-1*K.1^7,K.1^7,K.1^7,K.1^3,K.1^5,-1*K.1^5,K.1^3,K.1^5,-1*K.1^5,K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(16: Sparse := true);
S := [ K |1,-1,1,1,-1,1,-1,-1,K.1^4,K.1^4,-1*K.1^4,-1*K.1^4,K.1^4,-1*K.1^4,-1*K.1^4,K.1^4,1,-1*K.1^4,1,1,1,K.1^4,1,K.1^4,-1*K.1^4,-1*K.1^4,-1,-1,-1,-1,-1*K.1^4,-1,K.1^4,K.1^4,-1*K.1^4,-1,1,K.1^4,-1*K.1^4,K.1^4,-1*K.1^2,-1*K.1^2,-1*K.1^6,K.1^2,K.1^6,-1*K.1^6,-1*K.1^2,K.1^2,K.1^2,-1*K.1^6,K.1^6,-1*K.1^2,K.1^6,K.1^2,-1*K.1^6,K.1^6,K.1^6,-1*K.1^6,K.1^2,K.1^2,-1*K.1^2,K.1^2,-1*K.1^6,-1*K.1^2,-1*K.1^6,K.1^6,K.1^6,K.1^6,K.1^2,-1*K.1^6,-1*K.1^2,-1*K.1^2,-1*K.1^6,K.1^6,K.1^2,-1*K.1^6,K.1^6,-1*K.1^2,K.1^2,-1*K.1^2,K.1^5,K.1^7,K.1,-1*K.1,-1*K.1^7,K.1^5,K.1,-1*K.1^5,-1*K.1^5,-1*K.1^3,K.1^3,K.1^5,-1*K.1^3,K.1^3,K.1^7,K.1^5,-1*K.1^7,K.1^7,K.1,-1*K.1,-1*K.1^7,K.1^7,K.1,-1*K.1,-1*K.1,-1*K.1^5,-1*K.1^3,K.1^3,-1*K.1^5,-1*K.1^3,K.1^3,-1*K.1^7]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(16: Sparse := true);
S := [ K |1,-1,1,1,-1,1,-1,-1,-1*K.1^4,-1*K.1^4,K.1^4,K.1^4,-1*K.1^4,K.1^4,K.1^4,-1*K.1^4,1,K.1^4,1,1,1,-1*K.1^4,1,-1*K.1^4,K.1^4,K.1^4,-1,-1,-1,-1,K.1^4,-1,-1*K.1^4,-1*K.1^4,K.1^4,-1,1,-1*K.1^4,K.1^4,-1*K.1^4,K.1^6,K.1^6,K.1^2,-1*K.1^6,-1*K.1^2,K.1^2,K.1^6,-1*K.1^6,-1*K.1^6,K.1^2,-1*K.1^2,K.1^6,-1*K.1^2,-1*K.1^6,K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,-1*K.1^6,-1*K.1^6,K.1^6,-1*K.1^6,K.1^2,K.1^6,K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^6,K.1^2,K.1^6,K.1^6,K.1^2,-1*K.1^2,-1*K.1^6,K.1^2,-1*K.1^2,K.1^6,-1*K.1^6,K.1^6,K.1^3,K.1,K.1^7,-1*K.1^7,-1*K.1,K.1^3,K.1^7,-1*K.1^3,-1*K.1^3,-1*K.1^5,K.1^5,K.1^3,-1*K.1^5,K.1^5,K.1,K.1^3,-1*K.1,K.1,K.1^7,-1*K.1^7,-1*K.1,K.1,K.1^7,-1*K.1^7,-1*K.1^7,-1*K.1^3,-1*K.1^5,K.1^5,-1*K.1^3,-1*K.1^5,K.1^5,-1*K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(16: Sparse := true);
S := [ K |1,-1,1,1,-1,1,-1,-1,K.1^4,K.1^4,-1*K.1^4,-1*K.1^4,K.1^4,-1*K.1^4,-1*K.1^4,K.1^4,1,-1*K.1^4,1,1,1,K.1^4,1,K.1^4,-1*K.1^4,-1*K.1^4,-1,-1,-1,-1,-1*K.1^4,-1,K.1^4,K.1^4,-1*K.1^4,-1,1,K.1^4,-1*K.1^4,K.1^4,-1*K.1^2,-1*K.1^2,-1*K.1^6,K.1^2,K.1^6,-1*K.1^6,-1*K.1^2,K.1^2,K.1^2,-1*K.1^6,K.1^6,-1*K.1^2,K.1^6,K.1^2,-1*K.1^6,K.1^6,K.1^6,-1*K.1^6,K.1^2,K.1^2,-1*K.1^2,K.1^2,-1*K.1^6,-1*K.1^2,-1*K.1^6,K.1^6,K.1^6,K.1^6,K.1^2,-1*K.1^6,-1*K.1^2,-1*K.1^2,-1*K.1^6,K.1^6,K.1^2,-1*K.1^6,K.1^6,-1*K.1^2,K.1^2,-1*K.1^2,-1*K.1^5,-1*K.1^7,-1*K.1,K.1,K.1^7,-1*K.1^5,-1*K.1,K.1^5,K.1^5,K.1^3,-1*K.1^3,-1*K.1^5,K.1^3,-1*K.1^3,-1*K.1^7,-1*K.1^5,K.1^7,-1*K.1^7,-1*K.1,K.1,K.1^7,-1*K.1^7,-1*K.1,K.1,K.1,K.1^5,K.1^3,-1*K.1^3,K.1^5,K.1^3,-1*K.1^3,K.1^7]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(16: Sparse := true);
S := [ K |1,-1,1,1,-1,1,-1,-1,-1*K.1^4,-1*K.1^4,K.1^4,K.1^4,-1*K.1^4,K.1^4,K.1^4,-1*K.1^4,1,K.1^4,1,1,1,-1*K.1^4,1,-1*K.1^4,K.1^4,K.1^4,-1,-1,-1,-1,K.1^4,-1,-1*K.1^4,-1*K.1^4,K.1^4,-1,1,-1*K.1^4,K.1^4,-1*K.1^4,-1*K.1^6,-1*K.1^6,-1*K.1^2,K.1^6,K.1^2,-1*K.1^2,-1*K.1^6,K.1^6,K.1^6,-1*K.1^2,K.1^2,-1*K.1^6,K.1^2,K.1^6,-1*K.1^2,K.1^2,K.1^2,-1*K.1^2,K.1^6,K.1^6,-1*K.1^6,K.1^6,-1*K.1^2,-1*K.1^6,-1*K.1^2,K.1^2,K.1^2,K.1^2,K.1^6,-1*K.1^2,-1*K.1^6,-1*K.1^6,-1*K.1^2,K.1^2,K.1^6,-1*K.1^2,K.1^2,-1*K.1^6,K.1^6,-1*K.1^6,K.1^7,-1*K.1^5,-1*K.1^3,K.1^3,K.1^5,K.1^7,-1*K.1^3,-1*K.1^7,-1*K.1^7,-1*K.1,K.1,K.1^7,-1*K.1,K.1,-1*K.1^5,K.1^7,K.1^5,-1*K.1^5,-1*K.1^3,K.1^3,K.1^5,-1*K.1^5,-1*K.1^3,K.1^3,K.1^3,-1*K.1^7,-1*K.1,K.1,-1*K.1^7,-1*K.1,K.1,K.1^5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(16: Sparse := true);
S := [ K |1,-1,1,1,-1,1,-1,-1,K.1^4,K.1^4,-1*K.1^4,-1*K.1^4,K.1^4,-1*K.1^4,-1*K.1^4,K.1^4,1,-1*K.1^4,1,1,1,K.1^4,1,K.1^4,-1*K.1^4,-1*K.1^4,-1,-1,-1,-1,-1*K.1^4,-1,K.1^4,K.1^4,-1*K.1^4,-1,1,K.1^4,-1*K.1^4,K.1^4,K.1^2,K.1^2,K.1^6,-1*K.1^2,-1*K.1^6,K.1^6,K.1^2,-1*K.1^2,-1*K.1^2,K.1^6,-1*K.1^6,K.1^2,-1*K.1^6,-1*K.1^2,K.1^6,-1*K.1^6,-1*K.1^6,K.1^6,-1*K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,K.1^6,K.1^2,K.1^6,-1*K.1^6,-1*K.1^6,-1*K.1^6,-1*K.1^2,K.1^6,K.1^2,K.1^2,K.1^6,-1*K.1^6,-1*K.1^2,K.1^6,-1*K.1^6,K.1^2,-1*K.1^2,K.1^2,-1*K.1,K.1^3,K.1^5,-1*K.1^5,-1*K.1^3,-1*K.1,K.1^5,K.1,K.1,K.1^7,-1*K.1^7,-1*K.1,K.1^7,-1*K.1^7,K.1^3,-1*K.1,-1*K.1^3,K.1^3,K.1^5,-1*K.1^5,-1*K.1^3,K.1^3,K.1^5,-1*K.1^5,-1*K.1^5,K.1,K.1^7,-1*K.1^7,K.1,K.1^7,-1*K.1^7,-1*K.1^3]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(16: Sparse := true);
S := [ K |1,-1,1,1,-1,1,-1,-1,-1*K.1^4,-1*K.1^4,K.1^4,K.1^4,-1*K.1^4,K.1^4,K.1^4,-1*K.1^4,1,K.1^4,1,1,1,-1*K.1^4,1,-1*K.1^4,K.1^4,K.1^4,-1,-1,-1,-1,K.1^4,-1,-1*K.1^4,-1*K.1^4,K.1^4,-1,1,-1*K.1^4,K.1^4,-1*K.1^4,-1*K.1^6,-1*K.1^6,-1*K.1^2,K.1^6,K.1^2,-1*K.1^2,-1*K.1^6,K.1^6,K.1^6,-1*K.1^2,K.1^2,-1*K.1^6,K.1^2,K.1^6,-1*K.1^2,K.1^2,K.1^2,-1*K.1^2,K.1^6,K.1^6,-1*K.1^6,K.1^6,-1*K.1^2,-1*K.1^6,-1*K.1^2,K.1^2,K.1^2,K.1^2,K.1^6,-1*K.1^2,-1*K.1^6,-1*K.1^6,-1*K.1^2,K.1^2,K.1^6,-1*K.1^2,K.1^2,-1*K.1^6,K.1^6,-1*K.1^6,-1*K.1^7,K.1^5,K.1^3,-1*K.1^3,-1*K.1^5,-1*K.1^7,K.1^3,K.1^7,K.1^7,K.1,-1*K.1,-1*K.1^7,K.1,-1*K.1,K.1^5,-1*K.1^7,-1*K.1^5,K.1^5,K.1^3,-1*K.1^3,-1*K.1^5,K.1^5,K.1^3,-1*K.1^3,-1*K.1^3,K.1^7,K.1,-1*K.1,K.1^7,K.1,-1*K.1,-1*K.1^5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(16: Sparse := true);
S := [ K |1,-1,1,1,-1,1,-1,-1,K.1^4,K.1^4,-1*K.1^4,-1*K.1^4,K.1^4,-1*K.1^4,-1*K.1^4,K.1^4,1,-1*K.1^4,1,1,1,K.1^4,1,K.1^4,-1*K.1^4,-1*K.1^4,-1,-1,-1,-1,-1*K.1^4,-1,K.1^4,K.1^4,-1*K.1^4,-1,1,K.1^4,-1*K.1^4,K.1^4,K.1^2,K.1^2,K.1^6,-1*K.1^2,-1*K.1^6,K.1^6,K.1^2,-1*K.1^2,-1*K.1^2,K.1^6,-1*K.1^6,K.1^2,-1*K.1^6,-1*K.1^2,K.1^6,-1*K.1^6,-1*K.1^6,K.1^6,-1*K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,K.1^6,K.1^2,K.1^6,-1*K.1^6,-1*K.1^6,-1*K.1^6,-1*K.1^2,K.1^6,K.1^2,K.1^2,K.1^6,-1*K.1^6,-1*K.1^2,K.1^6,-1*K.1^6,K.1^2,-1*K.1^2,K.1^2,K.1,-1*K.1^3,-1*K.1^5,K.1^5,K.1^3,K.1,-1*K.1^5,-1*K.1,-1*K.1,-1*K.1^7,K.1^7,K.1,-1*K.1^7,K.1^7,-1*K.1^3,K.1,K.1^3,-1*K.1^3,-1*K.1^5,K.1^5,K.1^3,-1*K.1^3,-1*K.1^5,K.1^5,K.1^5,-1*K.1,-1*K.1^7,K.1^7,-1*K.1,-1*K.1^7,K.1^7,K.1^3]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
x := CR!\[2, -2, -2, -2, 2, 2, 2, -2, -2, -2, 2, -2, 2, 2, -2, 2, -2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, -2, 0, 2, 0, 0, -2, 2, 0, 0, 0, 0, -2, 0, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, -2, 2, -2, 0, -2, -2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[2, -2, -2, -2, 2, 2, 2, -2, -2, -2, 2, -2, 2, 2, -2, 2, 2, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 2, 0, -2, 0, 0, 2, -2, 0, 0, 0, 0, 2, 0, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 2, -2, 2, 0, 2, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[2, -2, 2, -2, 2, -2, -2, 2, 2, -2, -2, -2, -2, 2, 2, 2, 0, -2, 2, 0, 0, -2, -2, 2, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 2, 2, 2, 2, -2, -2, -2, -2, 2, -2, 2, -2, 2, -2, 2, 2, 2, -2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[2, -2, 2, -2, 2, -2, -2, 2, 2, -2, -2, -2, -2, 2, 2, 2, 0, 2, -2, 0, 0, 2, 2, -2, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 2, 2, 2, 2, -2, -2, -2, -2, 2, -2, 2, -2, 2, -2, 2, -2, -2, 2, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[2, 2, -2, 2, 2, -2, -2, -2, -2, 2, -2, 2, -2, 2, -2, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 2, 0, 0, -2, 0, 2, -2, 0, 2, -2, 2, -2, -2, 2, -2, 2, 2, -2, 2, 2, -2, -2, 2, 2, -2, 0, 0, 0, 2, 2, 0, -2, 0, 0, 2, -2, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[2, 2, -2, 2, 2, -2, -2, -2, -2, 2, -2, 2, -2, 2, -2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, -2, 0, 0, 2, 0, -2, 2, 0, -2, -2, 2, -2, -2, 2, -2, 2, 2, -2, 2, 2, -2, -2, 2, 2, -2, 0, 0, 0, -2, -2, 0, 2, 0, 0, -2, 2, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[2, -2, -2, -2, 2, 2, 2, -2, -2, -2, 2, -2, 2, 2, -2, 2, -2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, -2, 0, 2, 0, 0, -2, 2, 0, 0, 0, 0, -2, 0, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 2, -2, 2, 0, 2, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := -1;
x`IsIrreducible := true; 
x := CR!\[2, -2, -2, -2, 2, 2, 2, -2, -2, -2, 2, -2, 2, 2, -2, 2, 2, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 2, 0, -2, 0, 0, 2, -2, 0, 0, 0, 0, 2, 0, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, -2, 2, -2, 0, -2, -2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := -1;
x`IsIrreducible := true; 
x := CR!\[2, -2, 2, -2, 2, -2, -2, 2, 2, -2, -2, -2, -2, 2, 2, 2, 0, -2, 2, 0, 0, -2, -2, 2, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, -2, -2, -2, -2, 2, 2, 2, 2, -2, 2, -2, 2, -2, 2, -2, -2, -2, 2, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := -1;
x`IsIrreducible := true; 
x := CR!\[2, -2, 2, -2, 2, -2, -2, 2, 2, -2, -2, -2, -2, 2, 2, 2, 0, 2, -2, 0, 0, 2, 2, -2, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, -2, -2, -2, -2, 2, 2, 2, 2, -2, 2, -2, 2, -2, 2, -2, 2, 2, -2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := -1;
x`IsIrreducible := true; 
x := CR!\[2, 2, -2, 2, 2, -2, -2, -2, -2, 2, -2, 2, -2, 2, -2, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 2, 0, 0, -2, 0, 2, -2, 0, 2, 2, -2, 2, 2, -2, 2, -2, -2, 2, -2, -2, 2, 2, -2, -2, 2, 0, 0, 0, -2, -2, 0, 2, 0, 0, -2, 2, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := -1;
x`IsIrreducible := true; 
x := CR!\[2, 2, -2, 2, 2, -2, -2, -2, -2, 2, -2, 2, -2, 2, -2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, -2, 0, 0, 2, 0, -2, 2, 0, -2, 2, -2, 2, 2, -2, 2, -2, -2, 2, -2, -2, 2, 2, -2, -2, 2, 0, 0, 0, 2, 2, 0, -2, 0, 0, 2, -2, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := -1;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |2,-2,-2,-2,2,2,2,-2,2,2,-2,2,-2,-2,2,-2,-2,0,0,0,2,0,0,0,-2,0,0,-2,0,2,0,0,2,-2,0,0,0,0,2,0,-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*K.1,2*K.1,2*K.1,-2*K.1,-2*K.1,-2*K.1,0,0,0,0,0,0,0,0,2*K.1,0,0,2*K.1,0,-2*K.1,-2*K.1,2*K.1,0,-2*K.1,2*K.1,0,0,0,-2*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
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,-2,2,2,-2,2,-2,-2,2,-2,-2,0,0,0,2,0,0,0,-2,0,0,-2,0,2,0,0,2,-2,0,0,0,0,2,0,2*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*K.1,-2*K.1,-2*K.1,2*K.1,2*K.1,2*K.1,0,0,0,0,0,0,0,0,-2*K.1,0,0,-2*K.1,0,2*K.1,2*K.1,-2*K.1,0,2*K.1,-2*K.1,0,0,0,2*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
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,-2,2,2,-2,2,-2,-2,2,-2,2,0,0,0,-2,0,0,0,2,0,0,2,0,-2,0,0,-2,2,0,0,0,0,-2,0,-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*K.1,2*K.1,2*K.1,-2*K.1,-2*K.1,-2*K.1,0,0,0,0,0,0,0,0,-2*K.1,0,0,-2*K.1,0,2*K.1,2*K.1,-2*K.1,0,2*K.1,-2*K.1,0,0,0,2*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
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,-2,2,2,-2,2,-2,-2,2,-2,2,0,0,0,-2,0,0,0,2,0,0,2,0,-2,0,0,-2,2,0,0,0,0,-2,0,2*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*K.1,-2*K.1,-2*K.1,2*K.1,2*K.1,2*K.1,0,0,0,0,0,0,0,0,2*K.1,0,0,2*K.1,0,-2*K.1,-2*K.1,2*K.1,0,-2*K.1,2*K.1,0,0,0,-2*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
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,-2,2,2,2,2,-2,-2,-2,0,-2,-2,0,0,-2,2,2,0,2,0,0,2,0,0,0,0,0,0,-2,0,0,0,0,-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*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.1,0,0,-2*K.1,0,-2*K.1,0,0,0,0,0,0,0,0,-2*K.1,0,0,0,-2*K.1,0,0,2*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
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,-2,2,2,2,2,-2,-2,-2,0,-2,-2,0,0,-2,2,2,0,2,0,0,2,0,0,0,0,0,0,-2,0,0,0,0,2*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*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.1,0,0,2*K.1,0,2*K.1,0,0,0,0,0,0,0,0,2*K.1,0,0,0,2*K.1,0,0,-2*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
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,-2,2,2,2,2,-2,-2,-2,0,2,2,0,0,2,-2,-2,0,-2,0,0,-2,0,0,0,0,0,0,2,0,0,0,0,-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*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.1,0,0,2*K.1,0,2*K.1,0,0,0,0,0,0,0,0,2*K.1,0,0,0,2*K.1,0,0,-2*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
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,-2,2,2,2,2,-2,-2,-2,0,2,2,0,0,2,-2,-2,0,-2,0,0,-2,0,0,0,0,0,0,2,0,0,0,0,2*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*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.1,0,0,-2*K.1,0,-2*K.1,0,0,0,0,0,0,0,0,-2*K.1,0,0,0,-2*K.1,0,0,2*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
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,-2,2,-2,2,-2,2,-2,2,-2,0,0,0,-2,0,0,0,0,0,0,-2,0,0,0,-2,2,0,0,2,0,2,2,0,-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*K.1,-2*K.1,-2*K.1,2*K.1,2*K.1,-2*K.1,2*K.1,0,0,0,2*K.1,2*K.1,0,2*K.1,0,0,-2*K.1,2*K.1,0,-2*K.1,0,0,0,0,0,0,-2*K.1,0,-2*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
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,-2,2,-2,2,-2,2,-2,2,-2,0,0,0,-2,0,0,0,0,0,0,-2,0,0,0,-2,2,0,0,2,0,2,2,0,-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*K.1,2*K.1,2*K.1,-2*K.1,-2*K.1,2*K.1,-2*K.1,0,0,0,-2*K.1,-2*K.1,0,-2*K.1,0,0,2*K.1,-2*K.1,0,2*K.1,0,0,0,0,0,0,2*K.1,0,2*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
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,-2,2,-2,2,-2,2,-2,2,-2,0,0,0,2,0,0,0,0,0,0,2,0,0,0,2,-2,0,0,-2,0,-2,-2,0,2,-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*K.1,-2*K.1,-2*K.1,2*K.1,2*K.1,-2*K.1,2*K.1,0,0,0,-2*K.1,-2*K.1,0,-2*K.1,0,0,2*K.1,-2*K.1,0,2*K.1,0,0,0,0,0,0,2*K.1,0,2*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
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,-2,2,-2,2,-2,2,-2,2,-2,0,0,0,2,0,0,0,0,0,0,2,0,0,0,2,-2,0,0,-2,0,-2,-2,0,2,2*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*K.1,2*K.1,2*K.1,-2*K.1,-2*K.1,2*K.1,-2*K.1,0,0,0,2*K.1,2*K.1,0,2*K.1,0,0,-2*K.1,2*K.1,0,-2*K.1,0,0,0,0,0,0,-2*K.1,0,-2*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |2,-2,-2,2,-2,-2,2,2,-2*K.1^2,2*K.1^2,2*K.1^2,-2*K.1^2,-2*K.1^2,-2*K.1^2,2*K.1^2,2*K.1^2,0,0,0,-2,0,0,0,0,0,0,2,0,0,0,-2*K.1^2,-2,0,0,2*K.1^2,0,2,-2*K.1^2,0,2*K.1^2,-2*K.1,2*K.1,-2*K.1^3,2*K.1,-2*K.1^3,-2*K.1^3,2*K.1,-2*K.1,2*K.1,2*K.1^3,-2*K.1^3,-2*K.1,2*K.1^3,-2*K.1,2*K.1^3,2*K.1^3,0,0,0,-2*K.1,2*K.1,0,-2*K.1^3,0,0,-2*K.1^3,2*K.1^3,0,2*K.1,0,0,0,0,0,0,2*K.1^3,0,-2*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |2,-2,-2,2,-2,-2,2,2,2*K.1^2,-2*K.1^2,-2*K.1^2,2*K.1^2,2*K.1^2,2*K.1^2,-2*K.1^2,-2*K.1^2,0,0,0,-2,0,0,0,0,0,0,2,0,0,0,2*K.1^2,-2,0,0,-2*K.1^2,0,2,2*K.1^2,0,-2*K.1^2,2*K.1^3,-2*K.1^3,2*K.1,-2*K.1^3,2*K.1,2*K.1,-2*K.1^3,2*K.1^3,-2*K.1^3,-2*K.1,2*K.1,2*K.1^3,-2*K.1,2*K.1^3,-2*K.1,-2*K.1,0,0,0,2*K.1^3,-2*K.1^3,0,2*K.1,0,0,2*K.1,-2*K.1,0,-2*K.1^3,0,0,0,0,0,0,-2*K.1,0,2*K.1^3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |2,-2,-2,2,-2,-2,2,2,-2*K.1^2,2*K.1^2,2*K.1^2,-2*K.1^2,-2*K.1^2,-2*K.1^2,2*K.1^2,2*K.1^2,0,0,0,-2,0,0,0,0,0,0,2,0,0,0,-2*K.1^2,-2,0,0,2*K.1^2,0,2,-2*K.1^2,0,2*K.1^2,2*K.1,-2*K.1,2*K.1^3,-2*K.1,2*K.1^3,2*K.1^3,-2*K.1,2*K.1,-2*K.1,-2*K.1^3,2*K.1^3,2*K.1,-2*K.1^3,2*K.1,-2*K.1^3,-2*K.1^3,0,0,0,2*K.1,-2*K.1,0,2*K.1^3,0,0,2*K.1^3,-2*K.1^3,0,-2*K.1,0,0,0,0,0,0,-2*K.1^3,0,2*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |2,-2,-2,2,-2,-2,2,2,2*K.1^2,-2*K.1^2,-2*K.1^2,2*K.1^2,2*K.1^2,2*K.1^2,-2*K.1^2,-2*K.1^2,0,0,0,-2,0,0,0,0,0,0,2,0,0,0,2*K.1^2,-2,0,0,-2*K.1^2,0,2,2*K.1^2,0,-2*K.1^2,-2*K.1^3,2*K.1^3,-2*K.1,2*K.1^3,-2*K.1,-2*K.1,2*K.1^3,-2*K.1^3,2*K.1^3,2*K.1,-2*K.1,-2*K.1^3,2*K.1,-2*K.1^3,2*K.1,2*K.1,0,0,0,-2*K.1^3,2*K.1^3,0,-2*K.1,0,0,-2*K.1,2*K.1,0,2*K.1^3,0,0,0,0,0,0,2*K.1,0,-2*K.1^3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |2,-2,-2,2,-2,-2,2,2,-2*K.1^2,2*K.1^2,2*K.1^2,-2*K.1^2,-2*K.1^2,-2*K.1^2,2*K.1^2,2*K.1^2,0,0,0,2,0,0,0,0,0,0,-2,0,0,0,2*K.1^2,2,0,0,-2*K.1^2,0,-2,2*K.1^2,0,-2*K.1^2,-2*K.1,2*K.1,-2*K.1^3,2*K.1,-2*K.1^3,-2*K.1^3,2*K.1,-2*K.1,2*K.1,2*K.1^3,-2*K.1^3,-2*K.1,2*K.1^3,-2*K.1,2*K.1^3,2*K.1^3,0,0,0,2*K.1,-2*K.1,0,2*K.1^3,0,0,2*K.1^3,-2*K.1^3,0,-2*K.1,0,0,0,0,0,0,-2*K.1^3,0,2*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |2,-2,-2,2,-2,-2,2,2,2*K.1^2,-2*K.1^2,-2*K.1^2,2*K.1^2,2*K.1^2,2*K.1^2,-2*K.1^2,-2*K.1^2,0,0,0,2,0,0,0,0,0,0,-2,0,0,0,-2*K.1^2,2,0,0,2*K.1^2,0,-2,-2*K.1^2,0,2*K.1^2,2*K.1^3,-2*K.1^3,2*K.1,-2*K.1^3,2*K.1,2*K.1,-2*K.1^3,2*K.1^3,-2*K.1^3,-2*K.1,2*K.1,2*K.1^3,-2*K.1,2*K.1^3,-2*K.1,-2*K.1,0,0,0,-2*K.1^3,2*K.1^3,0,-2*K.1,0,0,-2*K.1,2*K.1,0,2*K.1^3,0,0,0,0,0,0,2*K.1,0,-2*K.1^3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |2,-2,-2,2,-2,-2,2,2,-2*K.1^2,2*K.1^2,2*K.1^2,-2*K.1^2,-2*K.1^2,-2*K.1^2,2*K.1^2,2*K.1^2,0,0,0,2,0,0,0,0,0,0,-2,0,0,0,2*K.1^2,2,0,0,-2*K.1^2,0,-2,2*K.1^2,0,-2*K.1^2,2*K.1,-2*K.1,2*K.1^3,-2*K.1,2*K.1^3,2*K.1^3,-2*K.1,2*K.1,-2*K.1,-2*K.1^3,2*K.1^3,2*K.1,-2*K.1^3,2*K.1,-2*K.1^3,-2*K.1^3,0,0,0,-2*K.1,2*K.1,0,-2*K.1^3,0,0,-2*K.1^3,2*K.1^3,0,2*K.1,0,0,0,0,0,0,2*K.1^3,0,-2*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |2,-2,-2,2,-2,-2,2,2,2*K.1^2,-2*K.1^2,-2*K.1^2,2*K.1^2,2*K.1^2,2*K.1^2,-2*K.1^2,-2*K.1^2,0,0,0,2,0,0,0,0,0,0,-2,0,0,0,-2*K.1^2,2,0,0,2*K.1^2,0,-2,-2*K.1^2,0,2*K.1^2,-2*K.1^3,2*K.1^3,-2*K.1,2*K.1^3,-2*K.1,-2*K.1,2*K.1^3,-2*K.1^3,2*K.1^3,2*K.1,-2*K.1,-2*K.1^3,2*K.1,-2*K.1^3,2*K.1,2*K.1,0,0,0,2*K.1^3,-2*K.1^3,0,2*K.1,0,0,2*K.1,-2*K.1,0,-2*K.1^3,0,0,0,0,0,0,-2*K.1,0,2*K.1^3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |2,2,-2,-2,-2,2,-2,2,-2*K.1^2,-2*K.1^2,-2*K.1^2,2*K.1^2,2*K.1^2,-2*K.1^2,2*K.1^2,2*K.1^2,-2,0,0,0,2,0,0,0,-2*K.1^2,0,0,2,0,-2,0,0,-2*K.1^2,2*K.1^2,0,0,0,0,2*K.1^2,0,-2*K.1,-2*K.1,2*K.1^3,-2*K.1,2*K.1^3,-2*K.1^3,2*K.1,-2*K.1,2*K.1,-2*K.1^3,-2*K.1^3,2*K.1,2*K.1^3,2*K.1,2*K.1^3,-2*K.1^3,0,0,0,0,0,0,0,0,-2*K.1^3,0,0,2*K.1^3,0,2*K.1^3,-2*K.1,2*K.1,0,-2*K.1^3,-2*K.1,0,0,0,2*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |2,2,-2,-2,-2,2,-2,2,2*K.1^2,2*K.1^2,2*K.1^2,-2*K.1^2,-2*K.1^2,2*K.1^2,-2*K.1^2,-2*K.1^2,-2,0,0,0,2,0,0,0,2*K.1^2,0,0,2,0,-2,0,0,2*K.1^2,-2*K.1^2,0,0,0,0,-2*K.1^2,0,2*K.1^3,2*K.1^3,-2*K.1,2*K.1^3,-2*K.1,2*K.1,-2*K.1^3,2*K.1^3,-2*K.1^3,2*K.1,2*K.1,-2*K.1^3,-2*K.1,-2*K.1^3,-2*K.1,2*K.1,0,0,0,0,0,0,0,0,2*K.1,0,0,-2*K.1,0,-2*K.1,2*K.1^3,-2*K.1^3,0,2*K.1,2*K.1^3,0,0,0,-2*K.1^3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |2,2,-2,-2,-2,2,-2,2,-2*K.1^2,-2*K.1^2,-2*K.1^2,2*K.1^2,2*K.1^2,-2*K.1^2,2*K.1^2,2*K.1^2,-2,0,0,0,2,0,0,0,-2*K.1^2,0,0,2,0,-2,0,0,-2*K.1^2,2*K.1^2,0,0,0,0,2*K.1^2,0,2*K.1,2*K.1,-2*K.1^3,2*K.1,-2*K.1^3,2*K.1^3,-2*K.1,2*K.1,-2*K.1,2*K.1^3,2*K.1^3,-2*K.1,-2*K.1^3,-2*K.1,-2*K.1^3,2*K.1^3,0,0,0,0,0,0,0,0,2*K.1^3,0,0,-2*K.1^3,0,-2*K.1^3,2*K.1,-2*K.1,0,2*K.1^3,2*K.1,0,0,0,-2*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |2,2,-2,-2,-2,2,-2,2,2*K.1^2,2*K.1^2,2*K.1^2,-2*K.1^2,-2*K.1^2,2*K.1^2,-2*K.1^2,-2*K.1^2,-2,0,0,0,2,0,0,0,2*K.1^2,0,0,2,0,-2,0,0,2*K.1^2,-2*K.1^2,0,0,0,0,-2*K.1^2,0,-2*K.1^3,-2*K.1^3,2*K.1,-2*K.1^3,2*K.1,-2*K.1,2*K.1^3,-2*K.1^3,2*K.1^3,-2*K.1,-2*K.1,2*K.1^3,2*K.1,2*K.1^3,2*K.1,-2*K.1,0,0,0,0,0,0,0,0,-2*K.1,0,0,2*K.1,0,2*K.1,-2*K.1^3,2*K.1^3,0,-2*K.1,-2*K.1^3,0,0,0,2*K.1^3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |2,2,-2,-2,-2,2,-2,2,-2*K.1^2,-2*K.1^2,-2*K.1^2,2*K.1^2,2*K.1^2,-2*K.1^2,2*K.1^2,2*K.1^2,2,0,0,0,-2,0,0,0,2*K.1^2,0,0,-2,0,2,0,0,2*K.1^2,-2*K.1^2,0,0,0,0,-2*K.1^2,0,-2*K.1,-2*K.1,2*K.1^3,-2*K.1,2*K.1^3,-2*K.1^3,2*K.1,-2*K.1,2*K.1,-2*K.1^3,-2*K.1^3,2*K.1,2*K.1^3,2*K.1,2*K.1^3,-2*K.1^3,0,0,0,0,0,0,0,0,2*K.1^3,0,0,-2*K.1^3,0,-2*K.1^3,2*K.1,-2*K.1,0,2*K.1^3,2*K.1,0,0,0,-2*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |2,2,-2,-2,-2,2,-2,2,2*K.1^2,2*K.1^2,2*K.1^2,-2*K.1^2,-2*K.1^2,2*K.1^2,-2*K.1^2,-2*K.1^2,2,0,0,0,-2,0,0,0,-2*K.1^2,0,0,-2,0,2,0,0,-2*K.1^2,2*K.1^2,0,0,0,0,2*K.1^2,0,2*K.1^3,2*K.1^3,-2*K.1,2*K.1^3,-2*K.1,2*K.1,-2*K.1^3,2*K.1^3,-2*K.1^3,2*K.1,2*K.1,-2*K.1^3,-2*K.1,-2*K.1^3,-2*K.1,2*K.1,0,0,0,0,0,0,0,0,-2*K.1,0,0,2*K.1,0,2*K.1,-2*K.1^3,2*K.1^3,0,-2*K.1,-2*K.1^3,0,0,0,2*K.1^3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |2,2,-2,-2,-2,2,-2,2,-2*K.1^2,-2*K.1^2,-2*K.1^2,2*K.1^2,2*K.1^2,-2*K.1^2,2*K.1^2,2*K.1^2,2,0,0,0,-2,0,0,0,2*K.1^2,0,0,-2,0,2,0,0,2*K.1^2,-2*K.1^2,0,0,0,0,-2*K.1^2,0,2*K.1,2*K.1,-2*K.1^3,2*K.1,-2*K.1^3,2*K.1^3,-2*K.1,2*K.1,-2*K.1,2*K.1^3,2*K.1^3,-2*K.1,-2*K.1^3,-2*K.1,-2*K.1^3,2*K.1^3,0,0,0,0,0,0,0,0,-2*K.1^3,0,0,2*K.1^3,0,2*K.1^3,-2*K.1,2*K.1,0,-2*K.1^3,-2*K.1,0,0,0,2*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |2,2,-2,-2,-2,2,-2,2,2*K.1^2,2*K.1^2,2*K.1^2,-2*K.1^2,-2*K.1^2,2*K.1^2,-2*K.1^2,-2*K.1^2,2,0,0,0,-2,0,0,0,-2*K.1^2,0,0,-2,0,2,0,0,-2*K.1^2,2*K.1^2,0,0,0,0,2*K.1^2,0,-2*K.1^3,-2*K.1^3,2*K.1,-2*K.1^3,2*K.1,-2*K.1,2*K.1^3,-2*K.1^3,2*K.1^3,-2*K.1,-2*K.1,2*K.1^3,2*K.1,2*K.1^3,2*K.1,-2*K.1,0,0,0,0,0,0,0,0,2*K.1,0,0,-2*K.1,0,-2*K.1,2*K.1^3,-2*K.1^3,0,2*K.1,2*K.1^3,0,0,0,-2*K.1^3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |2,2,2,-2,-2,-2,2,-2,-2*K.1^2,2*K.1^2,-2*K.1^2,-2*K.1^2,2*K.1^2,2*K.1^2,2*K.1^2,-2*K.1^2,0,2*K.1^2,-2,0,0,-2*K.1^2,2,2*K.1^2,0,-2*K.1^2,0,0,-2,0,0,0,0,0,0,2,0,0,0,0,2*K.1^3,-2*K.1^3,-2*K.1,2*K.1^3,2*K.1,2*K.1,2*K.1^3,-2*K.1^3,-2*K.1^3,-2*K.1,-2*K.1,-2*K.1^3,-2*K.1,2*K.1^3,2*K.1,2*K.1,-2*K.1,2*K.1,2*K.1^3,0,0,-2*K.1^3,0,2*K.1^3,0,0,0,0,0,0,0,0,-2*K.1,0,0,0,2*K.1,0,0,-2*K.1^3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |2,2,2,-2,-2,-2,2,-2,2*K.1^2,-2*K.1^2,2*K.1^2,2*K.1^2,-2*K.1^2,-2*K.1^2,-2*K.1^2,2*K.1^2,0,-2*K.1^2,-2,0,0,2*K.1^2,2,-2*K.1^2,0,2*K.1^2,0,0,-2,0,0,0,0,0,0,2,0,0,0,0,-2*K.1,2*K.1,2*K.1^3,-2*K.1,-2*K.1^3,-2*K.1^3,-2*K.1,2*K.1,2*K.1,2*K.1^3,2*K.1^3,2*K.1,2*K.1^3,-2*K.1,-2*K.1^3,-2*K.1^3,2*K.1^3,-2*K.1^3,-2*K.1,0,0,2*K.1,0,-2*K.1,0,0,0,0,0,0,0,0,2*K.1^3,0,0,0,-2*K.1^3,0,0,2*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |2,2,2,-2,-2,-2,2,-2,-2*K.1^2,2*K.1^2,-2*K.1^2,-2*K.1^2,2*K.1^2,2*K.1^2,2*K.1^2,-2*K.1^2,0,2*K.1^2,-2,0,0,-2*K.1^2,2,2*K.1^2,0,-2*K.1^2,0,0,-2,0,0,0,0,0,0,2,0,0,0,0,-2*K.1^3,2*K.1^3,2*K.1,-2*K.1^3,-2*K.1,-2*K.1,-2*K.1^3,2*K.1^3,2*K.1^3,2*K.1,2*K.1,2*K.1^3,2*K.1,-2*K.1^3,-2*K.1,-2*K.1,2*K.1,-2*K.1,-2*K.1^3,0,0,2*K.1^3,0,-2*K.1^3,0,0,0,0,0,0,0,0,2*K.1,0,0,0,-2*K.1,0,0,2*K.1^3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |2,2,2,-2,-2,-2,2,-2,2*K.1^2,-2*K.1^2,2*K.1^2,2*K.1^2,-2*K.1^2,-2*K.1^2,-2*K.1^2,2*K.1^2,0,-2*K.1^2,-2,0,0,2*K.1^2,2,-2*K.1^2,0,2*K.1^2,0,0,-2,0,0,0,0,0,0,2,0,0,0,0,2*K.1,-2*K.1,-2*K.1^3,2*K.1,2*K.1^3,2*K.1^3,2*K.1,-2*K.1,-2*K.1,-2*K.1^3,-2*K.1^3,-2*K.1,-2*K.1^3,2*K.1,2*K.1^3,2*K.1^3,-2*K.1^3,2*K.1^3,2*K.1,0,0,-2*K.1,0,2*K.1,0,0,0,0,0,0,0,0,-2*K.1^3,0,0,0,2*K.1^3,0,0,-2*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |2,2,2,-2,-2,-2,2,-2,-2*K.1^2,2*K.1^2,-2*K.1^2,-2*K.1^2,2*K.1^2,2*K.1^2,2*K.1^2,-2*K.1^2,0,-2*K.1^2,2,0,0,2*K.1^2,-2,-2*K.1^2,0,2*K.1^2,0,0,2,0,0,0,0,0,0,-2,0,0,0,0,2*K.1^3,-2*K.1^3,-2*K.1,2*K.1^3,2*K.1,2*K.1,2*K.1^3,-2*K.1^3,-2*K.1^3,-2*K.1,-2*K.1,-2*K.1^3,-2*K.1,2*K.1^3,2*K.1,2*K.1,2*K.1,-2*K.1,-2*K.1^3,0,0,2*K.1^3,0,-2*K.1^3,0,0,0,0,0,0,0,0,2*K.1,0,0,0,-2*K.1,0,0,2*K.1^3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |2,2,2,-2,-2,-2,2,-2,2*K.1^2,-2*K.1^2,2*K.1^2,2*K.1^2,-2*K.1^2,-2*K.1^2,-2*K.1^2,2*K.1^2,0,2*K.1^2,2,0,0,-2*K.1^2,-2,2*K.1^2,0,-2*K.1^2,0,0,2,0,0,0,0,0,0,-2,0,0,0,0,-2*K.1,2*K.1,2*K.1^3,-2*K.1,-2*K.1^3,-2*K.1^3,-2*K.1,2*K.1,2*K.1,2*K.1^3,2*K.1^3,2*K.1,2*K.1^3,-2*K.1,-2*K.1^3,-2*K.1^3,-2*K.1^3,2*K.1^3,2*K.1,0,0,-2*K.1,0,2*K.1,0,0,0,0,0,0,0,0,-2*K.1^3,0,0,0,2*K.1^3,0,0,-2*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |2,2,2,-2,-2,-2,2,-2,-2*K.1^2,2*K.1^2,-2*K.1^2,-2*K.1^2,2*K.1^2,2*K.1^2,2*K.1^2,-2*K.1^2,0,-2*K.1^2,2,0,0,2*K.1^2,-2,-2*K.1^2,0,2*K.1^2,0,0,2,0,0,0,0,0,0,-2,0,0,0,0,-2*K.1^3,2*K.1^3,2*K.1,-2*K.1^3,-2*K.1,-2*K.1,-2*K.1^3,2*K.1^3,2*K.1^3,2*K.1,2*K.1,2*K.1^3,2*K.1,-2*K.1^3,-2*K.1,-2*K.1,-2*K.1,2*K.1,2*K.1^3,0,0,-2*K.1^3,0,2*K.1^3,0,0,0,0,0,0,0,0,-2*K.1,0,0,0,2*K.1,0,0,-2*K.1^3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |2,2,2,-2,-2,-2,2,-2,2*K.1^2,-2*K.1^2,2*K.1^2,2*K.1^2,-2*K.1^2,-2*K.1^2,-2*K.1^2,2*K.1^2,0,2*K.1^2,2,0,0,-2*K.1^2,-2,2*K.1^2,0,-2*K.1^2,0,0,2,0,0,0,0,0,0,-2,0,0,0,0,2*K.1,-2*K.1,-2*K.1^3,2*K.1,2*K.1^3,2*K.1^3,2*K.1,-2*K.1,-2*K.1,-2*K.1^3,-2*K.1^3,-2*K.1,-2*K.1^3,2*K.1,2*K.1^3,2*K.1^3,2*K.1^3,-2*K.1^3,-2*K.1,0,0,2*K.1,0,-2*K.1,0,0,0,0,0,0,0,0,2*K.1^3,0,0,0,-2*K.1^3,0,0,2*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
_ := CharacterTable(G : Check := 0); 
chartbl_256_5886:= KnownIrreducibles(CR);