/* Group 1760.41 downloaded from the LMFDB on 18 November 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, -5, -2, 2, -2, -11, 14, 36, 24504, 17511, 3168, 102, 57125, 5052, 7579, 124, 47046, 11773, 17660]); a,b,c := Explode([GPC.1, GPC.4, GPC.5]); AssignNames(~GPC, ["a", "a2", "a4", "b", "c", "c2", "c4"]);
GPerm := PermutationGroup< 23 | (2,3)(4,6)(5,8)(7,9)(10,11)(12,13)(14,15)(16,17,18,19)(20,21)(22,23), (12,14,15,13)(16,18)(17,19)(20,22,21,23), (2,4,7,11,8)(3,6,9,10,5), (12,15)(13,14)(20,21)(22,23), (12,15)(13,14), (16,18)(17,19), (1,2,5,7,11,4,6,10,9,8,3) >;
GLZN := MatrixGroup< 2, Integers(88) | [[67, 11, 66, 1], [21, 82, 22, 23], [1, 8, 0, 1], [45, 0, 0, 45], [81, 0, 0, 9], [67, 0, 0, 67], [1, 44, 0, 1]] >;

 
/* Booleans */
RF := recformat< Agroup, Zgroup, abelian, almost_simple, cyclic, metabelian, metacyclic, monomial, nilpotent, perfect, quasisimple, rational, solvable, supersolvable  : BoolElt >; 
booleans_1760_41 := rec< RF |  
Agroup := false,
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, b>,< 2, 1, a^10*c^22>,< 2, 1, a^10*b>,< 2, 1, b*c^22>,< 2, 1, a^10>,< 2, 1, c^22>,< 2, 1, a^10*b*c^22>,< 4, 2, c^33>,< 4, 2, c^11>,< 4, 2, a^10*c^33>,< 4, 2, a^10*c^11>,< 4, 22, a^5>,< 4, 22, a^15>,< 4, 22, a^5*c^30>,< 4, 22, a^15*c^30>,< 4, 22, a^5*c^37>,< 4, 22, a^15*b*c^15>,< 4, 22, a^5*c^23>,< 4, 22, a^15*b*c>,< 5, 11, a^8>,< 5, 11, a^12>,< 5, 11, a^16>,< 5, 11, a^4>,< 10, 11, a^4*b>,< 10, 11, a^16*b>,< 10, 11, a^12*b>,< 10, 11, a^8*b>,< 10, 11, a^2*c^2>,< 10, 11, a^18*c^2>,< 10, 11, a^6*c^2>,< 10, 11, a^14*c^2>,< 10, 11, a^2*b>,< 10, 11, a^18*b>,< 10, 11, a^6*b>,< 10, 11, a^14*b>,< 10, 11, a^4*b*c^2>,< 10, 11, a^16*b*c^2>,< 10, 11, a^12*b*c^2>,< 10, 11, a^8*b*c^2>,< 10, 11, a^2>,< 10, 11, a^18>,< 10, 11, a^6>,< 10, 11, a^14>,< 10, 11, a^8*c^10>,< 10, 11, a^12*c^14>,< 10, 11, a^4*c^34>,< 10, 11, a^16*c^6>,< 10, 11, a^2*b*c^18>,< 10, 11, a^18*b*c^38>,< 10, 11, a^6*b*c^14>,< 10, 11, a^14*b*c^6>,< 11, 10, c^8>,< 20, 22, a>,< 20, 22, a^19>,< 20, 22, a^3>,< 20, 22, a^17>,< 20, 22, a^7>,< 20, 22, a^13>,< 20, 22, a^9>,< 20, 22, a^11>,< 20, 22, a^4*c>,< 20, 22, a^16*c^3>,< 20, 22, a^12*c^3>,< 20, 22, a^8*c>,< 20, 22, a^8*c^3>,< 20, 22, a^12*c>,< 20, 22, a^16*c>,< 20, 22, a^4*c^3>,< 20, 22, a^2*c>,< 20, 22, a^18*c^3>,< 20, 22, a^6*c^3>,< 20, 22, a^14*c>,< 20, 22, a^14*c^3>,< 20, 22, a^6*c>,< 20, 22, a^18*c>,< 20, 22, a^2*c^3>,< 20, 22, a*c^2>,< 20, 22, a^19*c^2>,< 20, 22, a^3*c^2>,< 20, 22, a^17*c^2>,< 20, 22, a^7*c^2>,< 20, 22, a^13*c^2>,< 20, 22, a^9*c^2>,< 20, 22, a^11*c^2>,< 20, 22, a*c>,< 20, 22, a^19*c^3>,< 20, 22, a^3*c^3>,< 20, 22, a^17*c>,< 20, 22, a^7*c^3>,< 20, 22, a^13*c>,< 20, 22, a^9*c>,< 20, 22, a^11*c^3>,< 20, 22, a*c^3>,< 20, 22, a^19*c>,< 20, 22, a^3*c>,< 20, 22, a^17*c^3>,< 20, 22, a^7*c>,< 20, 22, a^13*c^3>,< 20, 22, a^9*c^3>,< 20, 22, a^11*c>,< 22, 10, b*c^4>,< 22, 10, b*c^2>,< 22, 10, a^10*c^4>,< 22, 10, a^10*c^2>,< 22, 10, a^10*b*c^4>,< 22, 10, a^10*b*c^2>,< 22, 10, c^2>,< 44, 10, c>,< 44, 10, c^7>,< 44, 10, c^3>,< 44, 10, b*c>,< 44, 10, a^10*c>,< 44, 10, a^10*c^7>,< 44, 10, a^10*c^3>,< 44, 10, a^10*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, 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, -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, -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, 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*K.1,-1*K.1,-1*K.1,K.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,-1,1,1,1,-1,-1,-1,1,-1,-1,-1,1,-1*K.1,K.1,K.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,K.1,K.1,K.1,-1,-1*K.1,-1*K.1,-1*K.1,1,-1*K.1,K.1,-1,1,-1*K.1,-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.1,1,K.1,-1,-1*K.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,K.1,K.1,K.1,-1*K.1,-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,-1,1,1,1,-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,-1,-1*K.1,1,-1*K.1,K.1,1,-1*K.1,-1*K.1,-1*K.1,-1,K.1,K.1,K.1,1,K.1,-1*K.1,-1,1,K.1,-1,-1*K.1,-1,K.1,K.1,K.1,1,-1*K.1,1,-1*K.1,K.1,-1,1,-1*K.1,1,-1*K.1,-1,K.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*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,-1,1,1,1,-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,-1,-1*K.1,-1*K.1,-1*K.1,1,-1*K.1,-1*K.1,-1*K.1,-1,K.1,-1*K.1,1,-1,K.1,1,-1*K.1,1,-1*K.1,-1*K.1,-1*K.1,-1,-1*K.1,-1,-1*K.1,K.1,1,-1,K.1,-1,K.1,1,K.1,1,1,-1,1,-1,-1,-1,1,1,1,-1,-1,-1,-1,1]; 
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,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,-1,1,1,1,-1,-1,-1,1,-1,-1,-1,1,K.1,-1*K.1,-1*K.1,-1*K.1,1,-1*K.1,-1*K.1,-1*K.1,K.1,-1*K.1,K.1,1,-1*K.1,-1,-1*K.1,-1*K.1,-1,K.1,K.1,K.1,1,K.1,K.1,K.1,-1,-1*K.1,K.1,1,-1,-1*K.1,1,K.1,1,K.1,K.1,K.1,-1,K.1,-1,K.1,-1*K.1,1,-1,-1*K.1,-1,-1*K.1,1,-1*K.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*K.1,K.1,-1*K.1,K.1,-1,-1*K.1,1,-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,-1,1,-1,1,1,-1,1,1,1,-1,1,-1,-1*K.1,K.1,-1*K.1,-1*K.1,-1,K.1,1,1,-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,-1,K.1,K.1,K.1,K.1,-1*K.1,-1*K.1,-1*K.1,-1*K.1,-1*K.1,1,1,1,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,-1,1,-1,1,-1,-1,-1*K.1,K.1,K.1,K.1,-1*K.1,-1*K.1,K.1,-1*K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |1,-1,1,-1,1,1,-1,-1,K.1,-1*K.1,K.1,-1*K.1,-1,K.1,1,K.1,-1,-1*K.1,1,-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,-1,1,-1,1,1,-1,1,1,1,-1,1,-1,K.1,-1*K.1,K.1,K.1,-1,-1*K.1,1,1,K.1,1,-1*K.1,1,-1*K.1,K.1,K.1,K.1,K.1,-1*K.1,-1,-1,-1,-1*K.1,-1*K.1,-1*K.1,-1*K.1,K.1,K.1,K.1,K.1,K.1,1,1,1,-1*K.1,-1*K.1,K.1,-1*K.1,-1*K.1,K.1,K.1,-1,-1*K.1,-1,-1*K.1,-1*K.1,1,-1,1,-1,1,-1,-1,K.1,-1*K.1,-1*K.1,-1*K.1,K.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*K.1,K.1,-1*K.1,K.1,1,K.1,-1,K.1,1,-1*K.1,-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,-1,1,-1,1,1,-1,1,1,1,1,-1,1,K.1,K.1,K.1,K.1,1,-1*K.1,-1,-1,-1*K.1,-1,K.1,-1,-1*K.1,-1*K.1,K.1,K.1,K.1,K.1,1,1,1,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,K.1,-1*K.1,-1*K.1,-1*K.1,-1*K.1,-1*K.1,-1*K.1,1,K.1,1,K.1,-1*K.1,1,-1,1,-1,1,-1,-1,-1*K.1,K.1,K.1,K.1,-1*K.1,-1*K.1,K.1,-1*K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |1,-1,1,-1,1,1,-1,-1,K.1,-1*K.1,K.1,-1*K.1,1,-1*K.1,-1,-1*K.1,1,K.1,-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,-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,-1,-1,K.1,-1,-1*K.1,-1,K.1,K.1,-1*K.1,-1*K.1,-1*K.1,-1*K.1,1,1,1,-1*K.1,K.1,K.1,-1*K.1,K.1,-1*K.1,K.1,-1*K.1,K.1,-1,-1,-1,-1*K.1,K.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,-1,-1,K.1,-1*K.1,-1*K.1,-1*K.1,K.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*K.1,K.1,K.1,-1*K.1,-1*K.1,-1,K.1,1,K.1,1,-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,-1,1,1,-1,-1,1,-1,1,1,-1,-1,1,-1*K.1,-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*K.1,1,K.1,1,1,1,K.1,-1*K.1,-1*K.1,-1*K.1,-1*K.1,1,-1,K.1,K.1,-1,-1*K.1,1,-1*K.1,K.1,K.1,K.1,-1*K.1,-1,K.1,-1,1,-1*K.1,K.1,K.1,-1*K.1,K.1,K.1,1,1,-1,-1,-1,-1,1,1,-1*K.1,K.1,K.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,K.1,-1*K.1,-1*K.1,K.1,K.1,-1,-1*K.1,1,-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,-1,1,1,-1,-1,1,-1,1,1,-1,-1,1,K.1,K.1,-1*K.1,-1,-1*K.1,-1,-1,-1*K.1,-1,K.1,-1*K.1,K.1,K.1,K.1,K.1,1,-1*K.1,1,1,1,-1*K.1,K.1,K.1,K.1,K.1,1,-1,-1*K.1,-1*K.1,-1,K.1,1,K.1,-1*K.1,-1*K.1,-1*K.1,K.1,-1,-1*K.1,-1,1,K.1,-1*K.1,-1*K.1,K.1,-1*K.1,-1*K.1,1,1,-1,-1,-1,-1,1,1,K.1,-1*K.1,-1*K.1,K.1,-1*K.1,-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*K.1,K.1,K.1,-1*K.1,K.1,1,-1*K.1,-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,-1,1,1,-1,-1,1,-1,1,1,-1,-1,1,K.1,K.1,-1*K.1,1,K.1,1,1,-1*K.1,1,K.1,-1*K.1,-1*K.1,K.1,-1*K.1,K.1,-1,K.1,-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,-1*K.1,-1*K.1,-1*K.1,-1*K.1,-1*K.1,1,K.1,1,-1,-1*K.1,K.1,-1*K.1,-1*K.1,-1*K.1,K.1,-1,1,-1,-1,-1,-1,1,1,-1*K.1,K.1,K.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,K.1,-1*K.1,-1*K.1,K.1,-1*K.1,1,K.1,-1,K.1,-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,-1,1,1,-1,-1,1,-1,1,1,-1,-1,1,-1*K.1,-1*K.1,K.1,1,-1*K.1,1,1,K.1,1,-1*K.1,K.1,K.1,-1*K.1,K.1,-1*K.1,-1,-1*K.1,-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,-1,K.1,K.1,K.1,K.1,K.1,1,-1*K.1,1,-1,K.1,-1*K.1,K.1,K.1,K.1,-1*K.1,-1,1,-1,-1,-1,-1,1,1,K.1,-1*K.1,-1*K.1,K.1,-1*K.1,-1*K.1,K.1,K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(5: Sparse := true);
S := [ K |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,K.1,K.1^-1,K.1,K.1^-1,K.1^2,K.1^-2,K.1,K.1^-1,K.1^2,K.1^2,K.1^-2,K.1^2,K.1^-1,K.1^-1,K.1^-2,K.1,K.1,K.1,K.1^-2,K.1,K.1^-1,K.1^2,K.1^-2,K.1,K.1^-1,K.1^-2,K.1^-2,K.1^2,K.1^-1,K.1^2,1,K.1^2,K.1^-2,K.1^-2,K.1^-1,K.1^-1,K.1,K.1^-2,K.1^-1,K.1^-1,K.1^2,K.1^2,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-2,K.1^-2,K.1^-2,K.1,K.1^-1,K.1^2,K.1^-2,K.1,K.1^-1,K.1,K.1^2,K.1^2,K.1,K.1,K.1^2,K.1,K.1^2,K.1^2,K.1^-2,K.1^-1,K.1,K.1^-2,K.1^-2,K.1^-1,K.1,K.1,K.1^-1,K.1^2,K.1,K.1^-1,K.1^2,K.1^-2,K.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(5: Sparse := true);
S := [ K |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,K.1^-1,K.1,K.1^-1,K.1,K.1^-2,K.1^2,K.1^-1,K.1,K.1^-2,K.1^-2,K.1^2,K.1^-2,K.1,K.1,K.1^2,K.1^-1,K.1^-1,K.1^-1,K.1^2,K.1^-1,K.1,K.1^-2,K.1^2,K.1^-1,K.1,K.1^2,K.1^2,K.1^-2,K.1,K.1^-2,1,K.1^-2,K.1^2,K.1^2,K.1,K.1,K.1^-1,K.1^2,K.1,K.1,K.1^-2,K.1^-2,K.1^2,K.1^-1,K.1^-2,K.1,K.1^2,K.1^2,K.1^2,K.1^-1,K.1,K.1^-2,K.1^2,K.1^-1,K.1,K.1^-1,K.1^-2,K.1^-2,K.1^-1,K.1^-1,K.1^-2,K.1^-1,K.1^-2,K.1^-2,K.1^2,K.1,K.1^-1,K.1^2,K.1^2,K.1,K.1^-1,K.1^-1,K.1,K.1^-2,K.1^-1,K.1,K.1^-2,K.1^2,K.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(5: Sparse := true);
S := [ K |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^-2,K.1^2,K.1^-2,K.1^2,K.1,K.1^-1,K.1^-2,K.1^2,K.1,K.1,K.1^-1,K.1,K.1^2,K.1^2,K.1^-1,K.1^-2,K.1^-2,K.1^-2,K.1^-1,K.1^-2,K.1^2,K.1,K.1^-1,K.1^-2,K.1^2,K.1^-1,K.1^-1,K.1,K.1^2,K.1,1,K.1,K.1^-1,K.1^-1,K.1^2,K.1^2,K.1^-2,K.1^-1,K.1^2,K.1^2,K.1,K.1,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-1,K.1^-1,K.1^-2,K.1^2,K.1,K.1^-1,K.1^-2,K.1^2,K.1^-2,K.1,K.1,K.1^-2,K.1^-2,K.1,K.1^-2,K.1,K.1,K.1^-1,K.1^2,K.1^-2,K.1^-1,K.1^-1,K.1^2,K.1^-2,K.1^-2,K.1^2,K.1,K.1^-2,K.1^2,K.1,K.1^-1,K.1^2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(5: Sparse := true);
S := [ K |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.1^2,K.1^-2,K.1^2,K.1^-2,K.1^-1,K.1,K.1^2,K.1^-2,K.1^-1,K.1^-1,K.1,K.1^-1,K.1^-2,K.1^-2,K.1,K.1^2,K.1^2,K.1^2,K.1,K.1^2,K.1^-2,K.1^-1,K.1,K.1^2,K.1^-2,K.1,K.1,K.1^-1,K.1^-2,K.1^-1,1,K.1^-1,K.1,K.1,K.1^-2,K.1^-2,K.1^2,K.1,K.1^-2,K.1^-2,K.1^-1,K.1^-1,K.1,K.1^2,K.1^-1,K.1^-2,K.1,K.1,K.1,K.1^2,K.1^-2,K.1^-1,K.1,K.1^2,K.1^-2,K.1^2,K.1^-1,K.1^-1,K.1^2,K.1^2,K.1^-1,K.1^2,K.1^-1,K.1^-1,K.1,K.1^-2,K.1^2,K.1,K.1,K.1^-2,K.1^2,K.1^2,K.1^-2,K.1^-1,K.1^2,K.1^-2,K.1^-1,K.1,K.1^-2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(5: Sparse := true);
S := [ K |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,K.1,K.1^-1,K.1,K.1^-1,K.1^2,K.1^-2,K.1,K.1^-1,K.1^2,K.1^2,K.1^-2,K.1^2,K.1^-1,K.1^-1,K.1^-2,K.1,K.1,K.1,K.1^-2,K.1,K.1^-1,K.1^2,K.1^-2,K.1,K.1^-1,K.1^-2,K.1^-2,K.1^2,K.1^-1,K.1^2,1,-1*K.1^2,-1*K.1^-2,-1*K.1^-2,K.1^-1,-1*K.1^-1,K.1,K.1^-2,-1*K.1^-1,K.1^-1,-1*K.1^2,-1*K.1^2,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-1,K.1^-2,-1*K.1^-2,K.1^-2,K.1,K.1^-1,-1*K.1^2,-1*K.1^-2,-1*K.1,-1*K.1^-1,-1*K.1,K.1^2,K.1^2,-1*K.1,-1*K.1,K.1^2,-1*K.1,K.1^2,-1*K.1^2,-1*K.1^-2,-1*K.1^-1,-1*K.1,-1*K.1^-2,K.1^-2,-1*K.1^-1,K.1,K.1,-1*K.1^-1,-1*K.1^2,-1*K.1,-1*K.1^-1,-1*K.1^2,-1*K.1^-2,K.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(5: Sparse := true);
S := [ K |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,K.1^-1,K.1,K.1^-1,K.1,K.1^-2,K.1^2,K.1^-1,K.1,K.1^-2,K.1^-2,K.1^2,K.1^-2,K.1,K.1,K.1^2,K.1^-1,K.1^-1,K.1^-1,K.1^2,K.1^-1,K.1,K.1^-2,K.1^2,K.1^-1,K.1,K.1^2,K.1^2,K.1^-2,K.1,K.1^-2,1,-1*K.1^-2,-1*K.1^2,-1*K.1^2,K.1,-1*K.1,K.1^-1,K.1^2,-1*K.1,K.1,-1*K.1^-2,-1*K.1^-2,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1,K.1^2,-1*K.1^2,K.1^2,K.1^-1,K.1,-1*K.1^-2,-1*K.1^2,-1*K.1^-1,-1*K.1,-1*K.1^-1,K.1^-2,K.1^-2,-1*K.1^-1,-1*K.1^-1,K.1^-2,-1*K.1^-1,K.1^-2,-1*K.1^-2,-1*K.1^2,-1*K.1,-1*K.1^-1,-1*K.1^2,K.1^2,-1*K.1,K.1^-1,K.1^-1,-1*K.1,-1*K.1^-2,-1*K.1^-1,-1*K.1,-1*K.1^-2,-1*K.1^2,K.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(5: Sparse := true);
S := [ K |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^-2,K.1^2,K.1^-2,K.1^2,K.1,K.1^-1,K.1^-2,K.1^2,K.1,K.1,K.1^-1,K.1,K.1^2,K.1^2,K.1^-1,K.1^-2,K.1^-2,K.1^-2,K.1^-1,K.1^-2,K.1^2,K.1,K.1^-1,K.1^-2,K.1^2,K.1^-1,K.1^-1,K.1,K.1^2,K.1,1,-1*K.1,-1*K.1^-1,-1*K.1^-1,K.1^2,-1*K.1^2,K.1^-2,K.1^-1,-1*K.1^2,K.1^2,-1*K.1,-1*K.1,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^2,K.1^-1,-1*K.1^-1,K.1^-1,K.1^-2,K.1^2,-1*K.1,-1*K.1^-1,-1*K.1^-2,-1*K.1^2,-1*K.1^-2,K.1,K.1,-1*K.1^-2,-1*K.1^-2,K.1,-1*K.1^-2,K.1,-1*K.1,-1*K.1^-1,-1*K.1^2,-1*K.1^-2,-1*K.1^-1,K.1^-1,-1*K.1^2,K.1^-2,K.1^-2,-1*K.1^2,-1*K.1,-1*K.1^-2,-1*K.1^2,-1*K.1,-1*K.1^-1,K.1^2,1,1,1,1,1,1,1,-1,-1,-1,-1,-1,-1,-1,-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(5: Sparse := true);
S := [ K |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.1^2,K.1^-2,K.1^2,K.1^-2,K.1^-1,K.1,K.1^2,K.1^-2,K.1^-1,K.1^-1,K.1,K.1^-1,K.1^-2,K.1^-2,K.1,K.1^2,K.1^2,K.1^2,K.1,K.1^2,K.1^-2,K.1^-1,K.1,K.1^2,K.1^-2,K.1,K.1,K.1^-1,K.1^-2,K.1^-1,1,-1*K.1^-1,-1*K.1,-1*K.1,K.1^-2,-1*K.1^-2,K.1^2,K.1,-1*K.1^-2,K.1^-2,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,K.1,-1*K.1,K.1,K.1^2,K.1^-2,-1*K.1^-1,-1*K.1,-1*K.1^2,-1*K.1^-2,-1*K.1^2,K.1^-1,K.1^-1,-1*K.1^2,-1*K.1^2,K.1^-1,-1*K.1^2,K.1^-1,-1*K.1^-1,-1*K.1,-1*K.1^-2,-1*K.1^2,-1*K.1,K.1,-1*K.1^-2,K.1^2,K.1^2,-1*K.1^-2,-1*K.1^-1,-1*K.1^2,-1*K.1^-2,-1*K.1^-1,-1*K.1,K.1^-2,1,1,1,1,1,1,1,-1,-1,-1,-1,-1,-1,-1,-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(5: Sparse := true);
S := [ K |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,K.1,K.1^-1,K.1,K.1^-1,K.1^2,K.1^-2,K.1,K.1^-1,K.1^2,K.1^2,K.1^-2,K.1^2,K.1^-1,K.1^-1,K.1^-2,K.1,K.1,K.1,K.1^-2,K.1,K.1^-1,K.1^2,K.1^-2,K.1,K.1^-1,K.1^-2,K.1^-2,K.1^2,K.1^-1,K.1^2,1,K.1^2,K.1^-2,K.1^-2,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1*K.1^-2,K.1^-1,-1*K.1^-1,K.1^2,K.1^2,-1*K.1^-2,K.1,-1*K.1^2,K.1^-1,-1*K.1^-2,-1*K.1^-2,-1*K.1^-2,-1*K.1,-1*K.1^-1,-1*K.1^2,K.1^-2,K.1,K.1^-1,-1*K.1,-1*K.1^2,-1*K.1^2,-1*K.1,-1*K.1,-1*K.1^2,-1*K.1,-1*K.1^2,-1*K.1^2,K.1^-2,K.1^-1,K.1,-1*K.1^-2,-1*K.1^-2,-1*K.1^-1,-1*K.1,-1*K.1,-1*K.1^-1,-1*K.1^2,K.1,-1*K.1^-1,K.1^2,-1*K.1^-2,-1*K.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(5: Sparse := true);
S := [ K |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,K.1^-1,K.1,K.1^-1,K.1,K.1^-2,K.1^2,K.1^-1,K.1,K.1^-2,K.1^-2,K.1^2,K.1^-2,K.1,K.1,K.1^2,K.1^-1,K.1^-1,K.1^-1,K.1^2,K.1^-1,K.1,K.1^-2,K.1^2,K.1^-1,K.1,K.1^2,K.1^2,K.1^-2,K.1,K.1^-2,1,K.1^-2,K.1^2,K.1^2,-1*K.1,-1*K.1,-1*K.1^-1,-1*K.1^2,K.1,-1*K.1,K.1^-2,K.1^-2,-1*K.1^2,K.1^-1,-1*K.1^-2,K.1,-1*K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^-1,-1*K.1,-1*K.1^-2,K.1^2,K.1^-1,K.1,-1*K.1^-1,-1*K.1^-2,-1*K.1^-2,-1*K.1^-1,-1*K.1^-1,-1*K.1^-2,-1*K.1^-1,-1*K.1^-2,-1*K.1^-2,K.1^2,K.1,K.1^-1,-1*K.1^2,-1*K.1^2,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1*K.1^-2,K.1^-1,-1*K.1,K.1^-2,-1*K.1^2,-1*K.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(5: Sparse := true);
S := [ K |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^-2,K.1^2,K.1^-2,K.1^2,K.1,K.1^-1,K.1^-2,K.1^2,K.1,K.1,K.1^-1,K.1,K.1^2,K.1^2,K.1^-1,K.1^-2,K.1^-2,K.1^-2,K.1^-1,K.1^-2,K.1^2,K.1,K.1^-1,K.1^-2,K.1^2,K.1^-1,K.1^-1,K.1,K.1^2,K.1,1,K.1,K.1^-1,K.1^-1,-1*K.1^2,-1*K.1^2,-1*K.1^-2,-1*K.1^-1,K.1^2,-1*K.1^2,K.1,K.1,-1*K.1^-1,K.1^-2,-1*K.1,K.1^2,-1*K.1^-1,-1*K.1^-1,-1*K.1^-1,-1*K.1^-2,-1*K.1^2,-1*K.1,K.1^-1,K.1^-2,K.1^2,-1*K.1^-2,-1*K.1,-1*K.1,-1*K.1^-2,-1*K.1^-2,-1*K.1,-1*K.1^-2,-1*K.1,-1*K.1,K.1^-1,K.1^2,K.1^-2,-1*K.1^-1,-1*K.1^-1,-1*K.1^2,-1*K.1^-2,-1*K.1^-2,-1*K.1^2,-1*K.1,K.1^-2,-1*K.1^2,K.1,-1*K.1^-1,-1*K.1^2,1,1,1,1,1,1,1,-1,-1,-1,-1,-1,-1,-1,-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(5: Sparse := true);
S := [ K |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.1^2,K.1^-2,K.1^2,K.1^-2,K.1^-1,K.1,K.1^2,K.1^-2,K.1^-1,K.1^-1,K.1,K.1^-1,K.1^-2,K.1^-2,K.1,K.1^2,K.1^2,K.1^2,K.1,K.1^2,K.1^-2,K.1^-1,K.1,K.1^2,K.1^-2,K.1,K.1,K.1^-1,K.1^-2,K.1^-1,1,K.1^-1,K.1,K.1,-1*K.1^-2,-1*K.1^-2,-1*K.1^2,-1*K.1,K.1^-2,-1*K.1^-2,K.1^-1,K.1^-1,-1*K.1,K.1^2,-1*K.1^-1,K.1^-2,-1*K.1,-1*K.1,-1*K.1,-1*K.1^2,-1*K.1^-2,-1*K.1^-1,K.1,K.1^2,K.1^-2,-1*K.1^2,-1*K.1^-1,-1*K.1^-1,-1*K.1^2,-1*K.1^2,-1*K.1^-1,-1*K.1^2,-1*K.1^-1,-1*K.1^-1,K.1,K.1^-2,K.1^2,-1*K.1,-1*K.1,-1*K.1^-2,-1*K.1^2,-1*K.1^2,-1*K.1^-2,-1*K.1^-1,K.1^2,-1*K.1^-2,K.1^-1,-1*K.1,-1*K.1^-2,1,1,1,1,1,1,1,-1,-1,-1,-1,-1,-1,-1,-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(5: Sparse := true);
S := [ K |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,K.1,K.1^-1,K.1,K.1^-1,K.1^2,K.1^-2,K.1,K.1^-1,K.1^2,K.1^2,K.1^-2,K.1^2,K.1^-1,K.1^-1,K.1^-2,K.1,K.1,K.1,K.1^-2,K.1,K.1^-1,K.1^2,K.1^-2,K.1,K.1^-1,K.1^-2,K.1^-2,K.1^2,K.1^-1,K.1^2,1,-1*K.1^2,-1*K.1^-2,-1*K.1^-2,-1*K.1^-1,K.1^-1,-1*K.1,-1*K.1^-2,-1*K.1^-1,-1*K.1^-1,-1*K.1^2,-1*K.1^2,K.1^-2,-1*K.1,K.1^2,-1*K.1^-1,-1*K.1^-2,K.1^-2,-1*K.1^-2,-1*K.1,-1*K.1^-1,K.1^2,-1*K.1^-2,-1*K.1,-1*K.1^-1,K.1,-1*K.1^2,-1*K.1^2,K.1,K.1,-1*K.1^2,K.1,-1*K.1^2,K.1^2,-1*K.1^-2,-1*K.1^-1,-1*K.1,K.1^-2,-1*K.1^-2,K.1^-1,-1*K.1,-1*K.1,K.1^-1,K.1^2,-1*K.1,K.1^-1,-1*K.1^2,K.1^-2,-1*K.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(5: Sparse := true);
S := [ K |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,K.1^-1,K.1,K.1^-1,K.1,K.1^-2,K.1^2,K.1^-1,K.1,K.1^-2,K.1^-2,K.1^2,K.1^-2,K.1,K.1,K.1^2,K.1^-1,K.1^-1,K.1^-1,K.1^2,K.1^-1,K.1,K.1^-2,K.1^2,K.1^-1,K.1,K.1^2,K.1^2,K.1^-2,K.1,K.1^-2,1,-1*K.1^-2,-1*K.1^2,-1*K.1^2,-1*K.1,K.1,-1*K.1^-1,-1*K.1^2,-1*K.1,-1*K.1,-1*K.1^-2,-1*K.1^-2,K.1^2,-1*K.1^-1,K.1^-2,-1*K.1,-1*K.1^2,K.1^2,-1*K.1^2,-1*K.1^-1,-1*K.1,K.1^-2,-1*K.1^2,-1*K.1^-1,-1*K.1,K.1^-1,-1*K.1^-2,-1*K.1^-2,K.1^-1,K.1^-1,-1*K.1^-2,K.1^-1,-1*K.1^-2,K.1^-2,-1*K.1^2,-1*K.1,-1*K.1^-1,K.1^2,-1*K.1^2,K.1,-1*K.1^-1,-1*K.1^-1,K.1,K.1^-2,-1*K.1^-1,K.1,-1*K.1^-2,K.1^2,-1*K.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(5: Sparse := true);
S := [ K |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^-2,K.1^2,K.1^-2,K.1^2,K.1,K.1^-1,K.1^-2,K.1^2,K.1,K.1,K.1^-1,K.1,K.1^2,K.1^2,K.1^-1,K.1^-2,K.1^-2,K.1^-2,K.1^-1,K.1^-2,K.1^2,K.1,K.1^-1,K.1^-2,K.1^2,K.1^-1,K.1^-1,K.1,K.1^2,K.1,1,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1^2,K.1^2,-1*K.1^-2,-1*K.1^-1,-1*K.1^2,-1*K.1^2,-1*K.1,-1*K.1,K.1^-1,-1*K.1^-2,K.1,-1*K.1^2,-1*K.1^-1,K.1^-1,-1*K.1^-1,-1*K.1^-2,-1*K.1^2,K.1,-1*K.1^-1,-1*K.1^-2,-1*K.1^2,K.1^-2,-1*K.1,-1*K.1,K.1^-2,K.1^-2,-1*K.1,K.1^-2,-1*K.1,K.1,-1*K.1^-1,-1*K.1^2,-1*K.1^-2,K.1^-1,-1*K.1^-1,K.1^2,-1*K.1^-2,-1*K.1^-2,K.1^2,K.1,-1*K.1^-2,K.1^2,-1*K.1,K.1^-1,-1*K.1^2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(5: Sparse := true);
S := [ K |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.1^2,K.1^-2,K.1^2,K.1^-2,K.1^-1,K.1,K.1^2,K.1^-2,K.1^-1,K.1^-1,K.1,K.1^-1,K.1^-2,K.1^-2,K.1,K.1^2,K.1^2,K.1^2,K.1,K.1^2,K.1^-2,K.1^-1,K.1,K.1^2,K.1^-2,K.1,K.1,K.1^-1,K.1^-2,K.1^-1,1,-1*K.1^-1,-1*K.1,-1*K.1,-1*K.1^-2,K.1^-2,-1*K.1^2,-1*K.1,-1*K.1^-2,-1*K.1^-2,-1*K.1^-1,-1*K.1^-1,K.1,-1*K.1^2,K.1^-1,-1*K.1^-2,-1*K.1,K.1,-1*K.1,-1*K.1^2,-1*K.1^-2,K.1^-1,-1*K.1,-1*K.1^2,-1*K.1^-2,K.1^2,-1*K.1^-1,-1*K.1^-1,K.1^2,K.1^2,-1*K.1^-1,K.1^2,-1*K.1^-1,K.1^-1,-1*K.1,-1*K.1^-2,-1*K.1^2,K.1,-1*K.1,K.1^-2,-1*K.1^2,-1*K.1^2,K.1^-2,K.1^-1,-1*K.1^2,K.1^-2,-1*K.1^-1,K.1,-1*K.1^-2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |1,-1,-1,1,-1,1,1,-1,-1,-1,1,1,-1*K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,K.1^5,-1*K.1^5,K.1^5,K.1^5,-1*K.1^2,K.1^8,K.1^4,-1*K.1^6,-1*K.1^4,-1*K.1^6,K.1^8,K.1^2,-1*K.1^4,-1*K.1^6,K.1^8,-1*K.1^8,-1*K.1^2,-1*K.1^8,K.1^6,K.1^6,K.1^2,K.1^4,K.1^4,K.1^4,K.1^2,-1*K.1^4,-1*K.1^6,K.1^8,-1*K.1^2,-1*K.1^4,K.1^6,K.1^2,-1*K.1^2,-1*K.1^8,K.1^6,-1*K.1^8,1,K.1^3,-1*K.1^7,-1*K.1^7,-1*K.1,K.1^6,-1*K.1^9,K.1^7,K.1,K.1,-1*K.1^3,K.1^3,K.1^2,K.1^9,K.1^8,K.1,K.1^7,-1*K.1^2,-1*K.1^7,K.1^9,K.1,-1*K.1^8,K.1^7,-1*K.1^9,-1*K.1,K.1^4,K.1^3,-1*K.1^3,-1*K.1^4,K.1^4,K.1^3,-1*K.1^4,-1*K.1^3,-1*K.1^8,K.1^7,-1*K.1,-1*K.1^9,-1*K.1^2,-1*K.1^7,-1*K.1^6,K.1^9,-1*K.1^9,K.1^6,K.1^8,K.1^9,-1*K.1^6,-1*K.1^3,K.1^2,-1*K.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(20: Sparse := true);
S := [ K |1,-1,-1,1,-1,1,1,-1,-1,-1,1,1,K.1^5,K.1^5,K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,-1*K.1^5,-1*K.1^5,K.1^8,-1*K.1^2,-1*K.1^6,K.1^4,K.1^6,K.1^4,-1*K.1^2,-1*K.1^8,K.1^6,K.1^4,-1*K.1^2,K.1^2,K.1^8,K.1^2,-1*K.1^4,-1*K.1^4,-1*K.1^8,-1*K.1^6,-1*K.1^6,-1*K.1^6,-1*K.1^8,K.1^6,K.1^4,-1*K.1^2,K.1^8,K.1^6,-1*K.1^4,-1*K.1^8,K.1^8,K.1^2,-1*K.1^4,K.1^2,1,-1*K.1^7,K.1^3,K.1^3,K.1^9,-1*K.1^4,K.1,-1*K.1^3,-1*K.1^9,-1*K.1^9,K.1^7,-1*K.1^7,-1*K.1^8,-1*K.1,-1*K.1^2,-1*K.1^9,-1*K.1^3,K.1^8,K.1^3,-1*K.1,-1*K.1^9,K.1^2,-1*K.1^3,K.1,K.1^9,-1*K.1^6,-1*K.1^7,K.1^7,K.1^6,-1*K.1^6,-1*K.1^7,K.1^6,K.1^7,K.1^2,-1*K.1^3,K.1^9,K.1,K.1^8,K.1^3,K.1^4,-1*K.1,K.1,-1*K.1^4,-1*K.1^2,-1*K.1,K.1^4,K.1^7,-1*K.1^8,K.1^9,1,1,-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(20: Sparse := true);
S := [ K |1,-1,-1,1,-1,1,1,-1,-1,-1,1,1,-1*K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,K.1^5,-1*K.1^5,K.1^5,K.1^5,K.1^8,-1*K.1^2,-1*K.1^6,K.1^4,K.1^6,K.1^4,-1*K.1^2,-1*K.1^8,K.1^6,K.1^4,-1*K.1^2,K.1^2,K.1^8,K.1^2,-1*K.1^4,-1*K.1^4,-1*K.1^8,-1*K.1^6,-1*K.1^6,-1*K.1^6,-1*K.1^8,K.1^6,K.1^4,-1*K.1^2,K.1^8,K.1^6,-1*K.1^4,-1*K.1^8,K.1^8,K.1^2,-1*K.1^4,K.1^2,1,K.1^7,-1*K.1^3,-1*K.1^3,-1*K.1^9,-1*K.1^4,-1*K.1,K.1^3,K.1^9,K.1^9,-1*K.1^7,K.1^7,-1*K.1^8,K.1,-1*K.1^2,K.1^9,K.1^3,K.1^8,-1*K.1^3,K.1,K.1^9,K.1^2,K.1^3,-1*K.1,-1*K.1^9,-1*K.1^6,K.1^7,-1*K.1^7,K.1^6,-1*K.1^6,K.1^7,K.1^6,-1*K.1^7,K.1^2,K.1^3,-1*K.1^9,-1*K.1,K.1^8,-1*K.1^3,K.1^4,K.1,-1*K.1,-1*K.1^4,-1*K.1^2,K.1,K.1^4,-1*K.1^7,-1*K.1^8,-1*K.1^9,1,1,-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(20: Sparse := true);
S := [ K |1,-1,-1,1,-1,1,1,-1,-1,-1,1,1,K.1^5,K.1^5,K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,-1*K.1^5,-1*K.1^5,-1*K.1^2,K.1^8,K.1^4,-1*K.1^6,-1*K.1^4,-1*K.1^6,K.1^8,K.1^2,-1*K.1^4,-1*K.1^6,K.1^8,-1*K.1^8,-1*K.1^2,-1*K.1^8,K.1^6,K.1^6,K.1^2,K.1^4,K.1^4,K.1^4,K.1^2,-1*K.1^4,-1*K.1^6,K.1^8,-1*K.1^2,-1*K.1^4,K.1^6,K.1^2,-1*K.1^2,-1*K.1^8,K.1^6,-1*K.1^8,1,-1*K.1^3,K.1^7,K.1^7,K.1,K.1^6,K.1^9,-1*K.1^7,-1*K.1,-1*K.1,K.1^3,-1*K.1^3,K.1^2,-1*K.1^9,K.1^8,-1*K.1,-1*K.1^7,-1*K.1^2,K.1^7,-1*K.1^9,-1*K.1,-1*K.1^8,-1*K.1^7,K.1^9,K.1,K.1^4,-1*K.1^3,K.1^3,-1*K.1^4,K.1^4,-1*K.1^3,-1*K.1^4,K.1^3,-1*K.1^8,-1*K.1^7,K.1,K.1^9,-1*K.1^2,K.1^7,-1*K.1^6,-1*K.1^9,K.1^9,K.1^6,K.1^8,-1*K.1^9,-1*K.1^6,K.1^3,K.1^2,K.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(20: Sparse := true);
S := [ K |1,-1,-1,1,-1,1,1,-1,-1,-1,1,1,-1*K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,K.1^5,-1*K.1^5,K.1^5,K.1^5,-1*K.1^6,K.1^4,-1*K.1^2,K.1^8,K.1^2,K.1^8,K.1^4,K.1^6,K.1^2,K.1^8,K.1^4,-1*K.1^4,-1*K.1^6,-1*K.1^4,-1*K.1^8,-1*K.1^8,K.1^6,-1*K.1^2,-1*K.1^2,-1*K.1^2,K.1^6,K.1^2,K.1^8,K.1^4,-1*K.1^6,K.1^2,-1*K.1^8,K.1^6,-1*K.1^6,-1*K.1^4,-1*K.1^8,-1*K.1^4,1,-1*K.1^9,K.1,K.1,K.1^3,-1*K.1^8,K.1^7,-1*K.1,-1*K.1^3,-1*K.1^3,K.1^9,-1*K.1^9,K.1^6,-1*K.1^7,K.1^4,-1*K.1^3,-1*K.1,-1*K.1^6,K.1,-1*K.1^7,-1*K.1^3,-1*K.1^4,-1*K.1,K.1^7,K.1^3,-1*K.1^2,-1*K.1^9,K.1^9,K.1^2,-1*K.1^2,-1*K.1^9,K.1^2,K.1^9,-1*K.1^4,-1*K.1,K.1^3,K.1^7,-1*K.1^6,K.1,K.1^8,-1*K.1^7,K.1^7,-1*K.1^8,K.1^4,-1*K.1^7,K.1^8,K.1^9,K.1^6,K.1^3,1,1,-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(20: Sparse := true);
S := [ K |1,-1,-1,1,-1,1,1,-1,-1,-1,1,1,K.1^5,K.1^5,K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,-1*K.1^5,-1*K.1^5,K.1^4,-1*K.1^6,K.1^8,-1*K.1^2,-1*K.1^8,-1*K.1^2,-1*K.1^6,-1*K.1^4,-1*K.1^8,-1*K.1^2,-1*K.1^6,K.1^6,K.1^4,K.1^6,K.1^2,K.1^2,-1*K.1^4,K.1^8,K.1^8,K.1^8,-1*K.1^4,-1*K.1^8,-1*K.1^2,-1*K.1^6,K.1^4,-1*K.1^8,K.1^2,-1*K.1^4,K.1^4,K.1^6,K.1^2,K.1^6,1,K.1,-1*K.1^9,-1*K.1^9,-1*K.1^7,K.1^2,-1*K.1^3,K.1^9,K.1^7,K.1^7,-1*K.1,K.1,-1*K.1^4,K.1^3,-1*K.1^6,K.1^7,K.1^9,K.1^4,-1*K.1^9,K.1^3,K.1^7,K.1^6,K.1^9,-1*K.1^3,-1*K.1^7,K.1^8,K.1,-1*K.1,-1*K.1^8,K.1^8,K.1,-1*K.1^8,-1*K.1,K.1^6,K.1^9,-1*K.1^7,-1*K.1^3,K.1^4,-1*K.1^9,-1*K.1^2,K.1^3,-1*K.1^3,K.1^2,-1*K.1^6,K.1^3,-1*K.1^2,-1*K.1,-1*K.1^4,-1*K.1^7,1,1,-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(20: Sparse := true);
S := [ K |1,-1,-1,1,-1,1,1,-1,-1,-1,1,1,-1*K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,K.1^5,-1*K.1^5,K.1^5,K.1^5,K.1^4,-1*K.1^6,K.1^8,-1*K.1^2,-1*K.1^8,-1*K.1^2,-1*K.1^6,-1*K.1^4,-1*K.1^8,-1*K.1^2,-1*K.1^6,K.1^6,K.1^4,K.1^6,K.1^2,K.1^2,-1*K.1^4,K.1^8,K.1^8,K.1^8,-1*K.1^4,-1*K.1^8,-1*K.1^2,-1*K.1^6,K.1^4,-1*K.1^8,K.1^2,-1*K.1^4,K.1^4,K.1^6,K.1^2,K.1^6,1,-1*K.1,K.1^9,K.1^9,K.1^7,K.1^2,K.1^3,-1*K.1^9,-1*K.1^7,-1*K.1^7,K.1,-1*K.1,-1*K.1^4,-1*K.1^3,-1*K.1^6,-1*K.1^7,-1*K.1^9,K.1^4,K.1^9,-1*K.1^3,-1*K.1^7,K.1^6,-1*K.1^9,K.1^3,K.1^7,K.1^8,-1*K.1,K.1,-1*K.1^8,K.1^8,-1*K.1,-1*K.1^8,K.1,K.1^6,-1*K.1^9,K.1^7,K.1^3,K.1^4,K.1^9,-1*K.1^2,-1*K.1^3,K.1^3,K.1^2,-1*K.1^6,-1*K.1^3,-1*K.1^2,K.1,-1*K.1^4,K.1^7,1,1,-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(20: Sparse := true);
S := [ K |1,-1,-1,1,-1,1,1,-1,-1,-1,1,1,K.1^5,K.1^5,K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,-1*K.1^5,-1*K.1^5,-1*K.1^6,K.1^4,-1*K.1^2,K.1^8,K.1^2,K.1^8,K.1^4,K.1^6,K.1^2,K.1^8,K.1^4,-1*K.1^4,-1*K.1^6,-1*K.1^4,-1*K.1^8,-1*K.1^8,K.1^6,-1*K.1^2,-1*K.1^2,-1*K.1^2,K.1^6,K.1^2,K.1^8,K.1^4,-1*K.1^6,K.1^2,-1*K.1^8,K.1^6,-1*K.1^6,-1*K.1^4,-1*K.1^8,-1*K.1^4,1,K.1^9,-1*K.1,-1*K.1,-1*K.1^3,-1*K.1^8,-1*K.1^7,K.1,K.1^3,K.1^3,-1*K.1^9,K.1^9,K.1^6,K.1^7,K.1^4,K.1^3,K.1,-1*K.1^6,-1*K.1,K.1^7,K.1^3,-1*K.1^4,K.1,-1*K.1^7,-1*K.1^3,-1*K.1^2,K.1^9,-1*K.1^9,K.1^2,-1*K.1^2,K.1^9,K.1^2,-1*K.1^9,-1*K.1^4,K.1,-1*K.1^3,-1*K.1^7,-1*K.1^6,-1*K.1,K.1^8,K.1^7,-1*K.1^7,-1*K.1^8,K.1^4,K.1^7,K.1^8,-1*K.1^9,K.1^6,-1*K.1^3,1,1,-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(20: Sparse := true);
S := [ K |1,-1,-1,1,-1,1,1,-1,1,1,-1,-1,-1*K.1^5,K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,K.1^5,K.1^5,-1*K.1^5,-1*K.1^2,K.1^8,K.1^4,-1*K.1^6,-1*K.1^4,-1*K.1^6,K.1^8,K.1^2,-1*K.1^4,-1*K.1^6,K.1^8,-1*K.1^8,-1*K.1^2,-1*K.1^8,K.1^6,K.1^6,K.1^2,K.1^4,K.1^4,K.1^4,K.1^2,-1*K.1^4,-1*K.1^6,K.1^8,-1*K.1^2,-1*K.1^4,K.1^6,K.1^2,-1*K.1^2,-1*K.1^8,K.1^6,-1*K.1^8,1,K.1^3,-1*K.1^7,-1*K.1^7,K.1,-1*K.1^6,K.1^9,-1*K.1^7,K.1,-1*K.1,-1*K.1^3,K.1^3,-1*K.1^2,K.1^9,-1*K.1^8,K.1,-1*K.1^7,K.1^2,K.1^7,-1*K.1^9,-1*K.1,K.1^8,K.1^7,-1*K.1^9,-1*K.1,-1*K.1^4,-1*K.1^3,K.1^3,K.1^4,-1*K.1^4,-1*K.1^3,K.1^4,K.1^3,K.1^8,K.1^7,-1*K.1,-1*K.1^9,K.1^2,K.1^7,K.1^6,-1*K.1^9,K.1^9,-1*K.1^6,-1*K.1^8,K.1^9,K.1^6,-1*K.1^3,-1*K.1^2,K.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(20: Sparse := true);
S := [ K |1,-1,-1,1,-1,1,1,-1,1,1,-1,-1,K.1^5,-1*K.1^5,K.1^5,K.1^5,-1*K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,K.1^8,-1*K.1^2,-1*K.1^6,K.1^4,K.1^6,K.1^4,-1*K.1^2,-1*K.1^8,K.1^6,K.1^4,-1*K.1^2,K.1^2,K.1^8,K.1^2,-1*K.1^4,-1*K.1^4,-1*K.1^8,-1*K.1^6,-1*K.1^6,-1*K.1^6,-1*K.1^8,K.1^6,K.1^4,-1*K.1^2,K.1^8,K.1^6,-1*K.1^4,-1*K.1^8,K.1^8,K.1^2,-1*K.1^4,K.1^2,1,-1*K.1^7,K.1^3,K.1^3,-1*K.1^9,K.1^4,-1*K.1,K.1^3,-1*K.1^9,K.1^9,K.1^7,-1*K.1^7,K.1^8,-1*K.1,K.1^2,-1*K.1^9,K.1^3,-1*K.1^8,-1*K.1^3,K.1,K.1^9,-1*K.1^2,-1*K.1^3,K.1,K.1^9,K.1^6,K.1^7,-1*K.1^7,-1*K.1^6,K.1^6,K.1^7,-1*K.1^6,-1*K.1^7,-1*K.1^2,-1*K.1^3,K.1^9,K.1,-1*K.1^8,-1*K.1^3,-1*K.1^4,K.1,-1*K.1,K.1^4,K.1^2,-1*K.1,-1*K.1^4,K.1^7,K.1^8,-1*K.1^9,1,1,-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(20: Sparse := true);
S := [ K |1,-1,-1,1,-1,1,1,-1,1,1,-1,-1,-1*K.1^5,K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,K.1^5,K.1^5,-1*K.1^5,K.1^8,-1*K.1^2,-1*K.1^6,K.1^4,K.1^6,K.1^4,-1*K.1^2,-1*K.1^8,K.1^6,K.1^4,-1*K.1^2,K.1^2,K.1^8,K.1^2,-1*K.1^4,-1*K.1^4,-1*K.1^8,-1*K.1^6,-1*K.1^6,-1*K.1^6,-1*K.1^8,K.1^6,K.1^4,-1*K.1^2,K.1^8,K.1^6,-1*K.1^4,-1*K.1^8,K.1^8,K.1^2,-1*K.1^4,K.1^2,1,K.1^7,-1*K.1^3,-1*K.1^3,K.1^9,K.1^4,K.1,-1*K.1^3,K.1^9,-1*K.1^9,-1*K.1^7,K.1^7,K.1^8,K.1,K.1^2,K.1^9,-1*K.1^3,-1*K.1^8,K.1^3,-1*K.1,-1*K.1^9,-1*K.1^2,K.1^3,-1*K.1,-1*K.1^9,K.1^6,-1*K.1^7,K.1^7,-1*K.1^6,K.1^6,-1*K.1^7,-1*K.1^6,K.1^7,-1*K.1^2,K.1^3,-1*K.1^9,-1*K.1,-1*K.1^8,K.1^3,-1*K.1^4,-1*K.1,K.1,K.1^4,K.1^2,K.1,-1*K.1^4,-1*K.1^7,K.1^8,K.1^9,1,1,-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(20: Sparse := true);
S := [ K |1,-1,-1,1,-1,1,1,-1,1,1,-1,-1,K.1^5,-1*K.1^5,K.1^5,K.1^5,-1*K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,-1*K.1^2,K.1^8,K.1^4,-1*K.1^6,-1*K.1^4,-1*K.1^6,K.1^8,K.1^2,-1*K.1^4,-1*K.1^6,K.1^8,-1*K.1^8,-1*K.1^2,-1*K.1^8,K.1^6,K.1^6,K.1^2,K.1^4,K.1^4,K.1^4,K.1^2,-1*K.1^4,-1*K.1^6,K.1^8,-1*K.1^2,-1*K.1^4,K.1^6,K.1^2,-1*K.1^2,-1*K.1^8,K.1^6,-1*K.1^8,1,-1*K.1^3,K.1^7,K.1^7,-1*K.1,-1*K.1^6,-1*K.1^9,K.1^7,-1*K.1,K.1,K.1^3,-1*K.1^3,-1*K.1^2,-1*K.1^9,-1*K.1^8,-1*K.1,K.1^7,K.1^2,-1*K.1^7,K.1^9,K.1,K.1^8,-1*K.1^7,K.1^9,K.1,-1*K.1^4,K.1^3,-1*K.1^3,K.1^4,-1*K.1^4,K.1^3,K.1^4,-1*K.1^3,K.1^8,-1*K.1^7,K.1,K.1^9,K.1^2,-1*K.1^7,K.1^6,K.1^9,-1*K.1^9,-1*K.1^6,-1*K.1^8,-1*K.1^9,K.1^6,K.1^3,-1*K.1^2,-1*K.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(20: Sparse := true);
S := [ K |1,-1,-1,1,-1,1,1,-1,1,1,-1,-1,-1*K.1^5,K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,K.1^5,K.1^5,-1*K.1^5,-1*K.1^6,K.1^4,-1*K.1^2,K.1^8,K.1^2,K.1^8,K.1^4,K.1^6,K.1^2,K.1^8,K.1^4,-1*K.1^4,-1*K.1^6,-1*K.1^4,-1*K.1^8,-1*K.1^8,K.1^6,-1*K.1^2,-1*K.1^2,-1*K.1^2,K.1^6,K.1^2,K.1^8,K.1^4,-1*K.1^6,K.1^2,-1*K.1^8,K.1^6,-1*K.1^6,-1*K.1^4,-1*K.1^8,-1*K.1^4,1,-1*K.1^9,K.1,K.1,-1*K.1^3,K.1^8,-1*K.1^7,K.1,-1*K.1^3,K.1^3,K.1^9,-1*K.1^9,-1*K.1^6,-1*K.1^7,-1*K.1^4,-1*K.1^3,K.1,K.1^6,-1*K.1,K.1^7,K.1^3,K.1^4,-1*K.1,K.1^7,K.1^3,K.1^2,K.1^9,-1*K.1^9,-1*K.1^2,K.1^2,K.1^9,-1*K.1^2,-1*K.1^9,K.1^4,-1*K.1,K.1^3,K.1^7,K.1^6,-1*K.1,-1*K.1^8,K.1^7,-1*K.1^7,K.1^8,-1*K.1^4,-1*K.1^7,-1*K.1^8,K.1^9,-1*K.1^6,-1*K.1^3,1,1,-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(20: Sparse := true);
S := [ K |1,-1,-1,1,-1,1,1,-1,1,1,-1,-1,K.1^5,-1*K.1^5,K.1^5,K.1^5,-1*K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,K.1^4,-1*K.1^6,K.1^8,-1*K.1^2,-1*K.1^8,-1*K.1^2,-1*K.1^6,-1*K.1^4,-1*K.1^8,-1*K.1^2,-1*K.1^6,K.1^6,K.1^4,K.1^6,K.1^2,K.1^2,-1*K.1^4,K.1^8,K.1^8,K.1^8,-1*K.1^4,-1*K.1^8,-1*K.1^2,-1*K.1^6,K.1^4,-1*K.1^8,K.1^2,-1*K.1^4,K.1^4,K.1^6,K.1^2,K.1^6,1,K.1,-1*K.1^9,-1*K.1^9,K.1^7,-1*K.1^2,K.1^3,-1*K.1^9,K.1^7,-1*K.1^7,-1*K.1,K.1,K.1^4,K.1^3,K.1^6,K.1^7,-1*K.1^9,-1*K.1^4,K.1^9,-1*K.1^3,-1*K.1^7,-1*K.1^6,K.1^9,-1*K.1^3,-1*K.1^7,-1*K.1^8,-1*K.1,K.1,K.1^8,-1*K.1^8,-1*K.1,K.1^8,K.1,-1*K.1^6,K.1^9,-1*K.1^7,-1*K.1^3,-1*K.1^4,K.1^9,K.1^2,-1*K.1^3,K.1^3,-1*K.1^2,K.1^6,K.1^3,K.1^2,-1*K.1,K.1^4,K.1^7,1,1,-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(20: Sparse := true);
S := [ K |1,-1,-1,1,-1,1,1,-1,1,1,-1,-1,-1*K.1^5,K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,K.1^5,K.1^5,-1*K.1^5,K.1^4,-1*K.1^6,K.1^8,-1*K.1^2,-1*K.1^8,-1*K.1^2,-1*K.1^6,-1*K.1^4,-1*K.1^8,-1*K.1^2,-1*K.1^6,K.1^6,K.1^4,K.1^6,K.1^2,K.1^2,-1*K.1^4,K.1^8,K.1^8,K.1^8,-1*K.1^4,-1*K.1^8,-1*K.1^2,-1*K.1^6,K.1^4,-1*K.1^8,K.1^2,-1*K.1^4,K.1^4,K.1^6,K.1^2,K.1^6,1,-1*K.1,K.1^9,K.1^9,-1*K.1^7,-1*K.1^2,-1*K.1^3,K.1^9,-1*K.1^7,K.1^7,K.1,-1*K.1,K.1^4,-1*K.1^3,K.1^6,-1*K.1^7,K.1^9,-1*K.1^4,-1*K.1^9,K.1^3,K.1^7,-1*K.1^6,-1*K.1^9,K.1^3,K.1^7,-1*K.1^8,K.1,-1*K.1,K.1^8,-1*K.1^8,K.1,K.1^8,-1*K.1,-1*K.1^6,-1*K.1^9,K.1^7,K.1^3,-1*K.1^4,-1*K.1^9,K.1^2,K.1^3,-1*K.1^3,-1*K.1^2,K.1^6,-1*K.1^3,K.1^2,K.1,K.1^4,-1*K.1^7,1,1,-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(20: Sparse := true);
S := [ K |1,-1,-1,1,-1,1,1,-1,1,1,-1,-1,K.1^5,-1*K.1^5,K.1^5,K.1^5,-1*K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,-1*K.1^6,K.1^4,-1*K.1^2,K.1^8,K.1^2,K.1^8,K.1^4,K.1^6,K.1^2,K.1^8,K.1^4,-1*K.1^4,-1*K.1^6,-1*K.1^4,-1*K.1^8,-1*K.1^8,K.1^6,-1*K.1^2,-1*K.1^2,-1*K.1^2,K.1^6,K.1^2,K.1^8,K.1^4,-1*K.1^6,K.1^2,-1*K.1^8,K.1^6,-1*K.1^6,-1*K.1^4,-1*K.1^8,-1*K.1^4,1,K.1^9,-1*K.1,-1*K.1,K.1^3,K.1^8,K.1^7,-1*K.1,K.1^3,-1*K.1^3,-1*K.1^9,K.1^9,-1*K.1^6,K.1^7,-1*K.1^4,K.1^3,-1*K.1,K.1^6,K.1,-1*K.1^7,-1*K.1^3,K.1^4,K.1,-1*K.1^7,-1*K.1^3,K.1^2,-1*K.1^9,K.1^9,-1*K.1^2,K.1^2,-1*K.1^9,-1*K.1^2,K.1^9,K.1^4,K.1,-1*K.1^3,-1*K.1^7,K.1^6,K.1,-1*K.1^8,-1*K.1^7,K.1^7,K.1^8,-1*K.1^4,K.1^7,-1*K.1^8,-1*K.1^9,-1*K.1^6,K.1^3,1,1,-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(20: Sparse := true);
S := [ K |1,-1,1,-1,1,1,-1,-1,-1*K.1^5,K.1^5,-1*K.1^5,K.1^5,-1,-1*K.1^5,1,-1*K.1^5,-1,K.1^5,1,K.1^5,-1*K.1^2,K.1^8,K.1^4,-1*K.1^6,-1*K.1^4,K.1^6,-1*K.1^8,-1*K.1^2,-1*K.1^4,K.1^6,-1*K.1^8,K.1^8,K.1^2,-1*K.1^8,-1*K.1^6,K.1^6,K.1^2,K.1^4,-1*K.1^4,-1*K.1^4,K.1^2,K.1^4,-1*K.1^6,K.1^8,K.1^2,K.1^4,K.1^6,-1*K.1^2,-1*K.1^2,-1*K.1^8,-1*K.1^6,K.1^8,1,-1*K.1^8,-1*K.1^2,K.1^2,-1*K.1,K.1,-1*K.1^9,K.1^7,K.1^6,K.1,K.1^8,K.1^8,K.1^7,K.1^4,-1*K.1^3,-1*K.1^6,-1*K.1^7,K.1^7,K.1^7,-1*K.1^9,-1*K.1,-1*K.1^3,K.1^2,-1*K.1^4,K.1^6,K.1^9,-1*K.1^3,-1*K.1^3,K.1^9,-1*K.1^9,K.1^3,-1*K.1^9,K.1^3,K.1^3,-1*K.1^2,-1*K.1^6,K.1^4,-1*K.1^7,-1*K.1^7,-1*K.1,K.1^9,K.1^9,-1*K.1,K.1^3,-1*K.1^4,K.1,-1*K.1^8,-1*K.1^7,K.1,1,-1,1,-1,1,-1,-1,-1*K.1^5,K.1^5,K.1^5,K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,-1*K.1^5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |1,-1,1,-1,1,1,-1,-1,K.1^5,-1*K.1^5,K.1^5,-1*K.1^5,-1,K.1^5,1,K.1^5,-1,-1*K.1^5,1,-1*K.1^5,K.1^8,-1*K.1^2,-1*K.1^6,K.1^4,K.1^6,-1*K.1^4,K.1^2,K.1^8,K.1^6,-1*K.1^4,K.1^2,-1*K.1^2,-1*K.1^8,K.1^2,K.1^4,-1*K.1^4,-1*K.1^8,-1*K.1^6,K.1^6,K.1^6,-1*K.1^8,-1*K.1^6,K.1^4,-1*K.1^2,-1*K.1^8,-1*K.1^6,-1*K.1^4,K.1^8,K.1^8,K.1^2,K.1^4,-1*K.1^2,1,K.1^2,K.1^8,-1*K.1^8,K.1^9,-1*K.1^9,K.1,-1*K.1^3,-1*K.1^4,-1*K.1^9,-1*K.1^2,-1*K.1^2,-1*K.1^3,-1*K.1^6,K.1^7,K.1^4,K.1^3,-1*K.1^3,-1*K.1^3,K.1,K.1^9,K.1^7,-1*K.1^8,K.1^6,-1*K.1^4,-1*K.1,K.1^7,K.1^7,-1*K.1,K.1,-1*K.1^7,K.1,-1*K.1^7,-1*K.1^7,K.1^8,K.1^4,-1*K.1^6,K.1^3,K.1^3,K.1^9,-1*K.1,-1*K.1,K.1^9,-1*K.1^7,K.1^6,-1*K.1^9,K.1^2,K.1^3,-1*K.1^9,1,-1,1,-1,1,-1,-1,K.1^5,-1*K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,K.1^5,-1*K.1^5,K.1^5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |1,-1,1,-1,1,1,-1,-1,-1*K.1^5,K.1^5,-1*K.1^5,K.1^5,-1,-1*K.1^5,1,-1*K.1^5,-1,K.1^5,1,K.1^5,K.1^8,-1*K.1^2,-1*K.1^6,K.1^4,K.1^6,-1*K.1^4,K.1^2,K.1^8,K.1^6,-1*K.1^4,K.1^2,-1*K.1^2,-1*K.1^8,K.1^2,K.1^4,-1*K.1^4,-1*K.1^8,-1*K.1^6,K.1^6,K.1^6,-1*K.1^8,-1*K.1^6,K.1^4,-1*K.1^2,-1*K.1^8,-1*K.1^6,-1*K.1^4,K.1^8,K.1^8,K.1^2,K.1^4,-1*K.1^2,1,K.1^2,K.1^8,-1*K.1^8,-1*K.1^9,K.1^9,-1*K.1,K.1^3,-1*K.1^4,K.1^9,-1*K.1^2,-1*K.1^2,K.1^3,-1*K.1^6,-1*K.1^7,K.1^4,-1*K.1^3,K.1^3,K.1^3,-1*K.1,-1*K.1^9,-1*K.1^7,-1*K.1^8,K.1^6,-1*K.1^4,K.1,-1*K.1^7,-1*K.1^7,K.1,-1*K.1,K.1^7,-1*K.1,K.1^7,K.1^7,K.1^8,K.1^4,-1*K.1^6,-1*K.1^3,-1*K.1^3,-1*K.1^9,K.1,K.1,-1*K.1^9,K.1^7,K.1^6,K.1^9,K.1^2,-1*K.1^3,K.1^9,1,-1,1,-1,1,-1,-1,-1*K.1^5,K.1^5,K.1^5,K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,-1*K.1^5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |1,-1,1,-1,1,1,-1,-1,K.1^5,-1*K.1^5,K.1^5,-1*K.1^5,-1,K.1^5,1,K.1^5,-1,-1*K.1^5,1,-1*K.1^5,-1*K.1^2,K.1^8,K.1^4,-1*K.1^6,-1*K.1^4,K.1^6,-1*K.1^8,-1*K.1^2,-1*K.1^4,K.1^6,-1*K.1^8,K.1^8,K.1^2,-1*K.1^8,-1*K.1^6,K.1^6,K.1^2,K.1^4,-1*K.1^4,-1*K.1^4,K.1^2,K.1^4,-1*K.1^6,K.1^8,K.1^2,K.1^4,K.1^6,-1*K.1^2,-1*K.1^2,-1*K.1^8,-1*K.1^6,K.1^8,1,-1*K.1^8,-1*K.1^2,K.1^2,K.1,-1*K.1,K.1^9,-1*K.1^7,K.1^6,-1*K.1,K.1^8,K.1^8,-1*K.1^7,K.1^4,K.1^3,-1*K.1^6,K.1^7,-1*K.1^7,-1*K.1^7,K.1^9,K.1,K.1^3,K.1^2,-1*K.1^4,K.1^6,-1*K.1^9,K.1^3,K.1^3,-1*K.1^9,K.1^9,-1*K.1^3,K.1^9,-1*K.1^3,-1*K.1^3,-1*K.1^2,-1*K.1^6,K.1^4,K.1^7,K.1^7,K.1,-1*K.1^9,-1*K.1^9,K.1,-1*K.1^3,-1*K.1^4,-1*K.1,-1*K.1^8,K.1^7,-1*K.1,1,-1,1,-1,1,-1,-1,K.1^5,-1*K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,K.1^5,-1*K.1^5,K.1^5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |1,-1,1,-1,1,1,-1,-1,-1*K.1^5,K.1^5,-1*K.1^5,K.1^5,-1,-1*K.1^5,1,-1*K.1^5,-1,K.1^5,1,K.1^5,-1*K.1^6,K.1^4,-1*K.1^2,K.1^8,K.1^2,-1*K.1^8,-1*K.1^4,-1*K.1^6,K.1^2,-1*K.1^8,-1*K.1^4,K.1^4,K.1^6,-1*K.1^4,K.1^8,-1*K.1^8,K.1^6,-1*K.1^2,K.1^2,K.1^2,K.1^6,-1*K.1^2,K.1^8,K.1^4,K.1^6,-1*K.1^2,-1*K.1^8,-1*K.1^6,-1*K.1^6,-1*K.1^4,K.1^8,K.1^4,1,-1*K.1^4,-1*K.1^6,K.1^6,K.1^3,-1*K.1^3,K.1^7,-1*K.1,-1*K.1^8,-1*K.1^3,K.1^4,K.1^4,-1*K.1,-1*K.1^2,K.1^9,K.1^8,K.1,-1*K.1,-1*K.1,K.1^7,K.1^3,K.1^9,K.1^6,K.1^2,-1*K.1^8,-1*K.1^7,K.1^9,K.1^9,-1*K.1^7,K.1^7,-1*K.1^9,K.1^7,-1*K.1^9,-1*K.1^9,-1*K.1^6,K.1^8,-1*K.1^2,K.1,K.1,K.1^3,-1*K.1^7,-1*K.1^7,K.1^3,-1*K.1^9,K.1^2,-1*K.1^3,-1*K.1^4,K.1,-1*K.1^3,1,-1,1,-1,1,-1,-1,-1*K.1^5,K.1^5,K.1^5,K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,-1*K.1^5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |1,-1,1,-1,1,1,-1,-1,K.1^5,-1*K.1^5,K.1^5,-1*K.1^5,-1,K.1^5,1,K.1^5,-1,-1*K.1^5,1,-1*K.1^5,K.1^4,-1*K.1^6,K.1^8,-1*K.1^2,-1*K.1^8,K.1^2,K.1^6,K.1^4,-1*K.1^8,K.1^2,K.1^6,-1*K.1^6,-1*K.1^4,K.1^6,-1*K.1^2,K.1^2,-1*K.1^4,K.1^8,-1*K.1^8,-1*K.1^8,-1*K.1^4,K.1^8,-1*K.1^2,-1*K.1^6,-1*K.1^4,K.1^8,K.1^2,K.1^4,K.1^4,K.1^6,-1*K.1^2,-1*K.1^6,1,K.1^6,K.1^4,-1*K.1^4,-1*K.1^7,K.1^7,-1*K.1^3,K.1^9,K.1^2,K.1^7,-1*K.1^6,-1*K.1^6,K.1^9,K.1^8,-1*K.1,-1*K.1^2,-1*K.1^9,K.1^9,K.1^9,-1*K.1^3,-1*K.1^7,-1*K.1,-1*K.1^4,-1*K.1^8,K.1^2,K.1^3,-1*K.1,-1*K.1,K.1^3,-1*K.1^3,K.1,-1*K.1^3,K.1,K.1,K.1^4,-1*K.1^2,K.1^8,-1*K.1^9,-1*K.1^9,-1*K.1^7,K.1^3,K.1^3,-1*K.1^7,K.1,-1*K.1^8,K.1^7,K.1^6,-1*K.1^9,K.1^7,1,-1,1,-1,1,-1,-1,K.1^5,-1*K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,K.1^5,-1*K.1^5,K.1^5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |1,-1,1,-1,1,1,-1,-1,-1*K.1^5,K.1^5,-1*K.1^5,K.1^5,-1,-1*K.1^5,1,-1*K.1^5,-1,K.1^5,1,K.1^5,K.1^4,-1*K.1^6,K.1^8,-1*K.1^2,-1*K.1^8,K.1^2,K.1^6,K.1^4,-1*K.1^8,K.1^2,K.1^6,-1*K.1^6,-1*K.1^4,K.1^6,-1*K.1^2,K.1^2,-1*K.1^4,K.1^8,-1*K.1^8,-1*K.1^8,-1*K.1^4,K.1^8,-1*K.1^2,-1*K.1^6,-1*K.1^4,K.1^8,K.1^2,K.1^4,K.1^4,K.1^6,-1*K.1^2,-1*K.1^6,1,K.1^6,K.1^4,-1*K.1^4,K.1^7,-1*K.1^7,K.1^3,-1*K.1^9,K.1^2,-1*K.1^7,-1*K.1^6,-1*K.1^6,-1*K.1^9,K.1^8,K.1,-1*K.1^2,K.1^9,-1*K.1^9,-1*K.1^9,K.1^3,K.1^7,K.1,-1*K.1^4,-1*K.1^8,K.1^2,-1*K.1^3,K.1,K.1,-1*K.1^3,K.1^3,-1*K.1,K.1^3,-1*K.1,-1*K.1,K.1^4,-1*K.1^2,K.1^8,K.1^9,K.1^9,K.1^7,-1*K.1^3,-1*K.1^3,K.1^7,-1*K.1,-1*K.1^8,-1*K.1^7,K.1^6,K.1^9,-1*K.1^7,1,-1,1,-1,1,-1,-1,-1*K.1^5,K.1^5,K.1^5,K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,-1*K.1^5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |1,-1,1,-1,1,1,-1,-1,K.1^5,-1*K.1^5,K.1^5,-1*K.1^5,-1,K.1^5,1,K.1^5,-1,-1*K.1^5,1,-1*K.1^5,-1*K.1^6,K.1^4,-1*K.1^2,K.1^8,K.1^2,-1*K.1^8,-1*K.1^4,-1*K.1^6,K.1^2,-1*K.1^8,-1*K.1^4,K.1^4,K.1^6,-1*K.1^4,K.1^8,-1*K.1^8,K.1^6,-1*K.1^2,K.1^2,K.1^2,K.1^6,-1*K.1^2,K.1^8,K.1^4,K.1^6,-1*K.1^2,-1*K.1^8,-1*K.1^6,-1*K.1^6,-1*K.1^4,K.1^8,K.1^4,1,-1*K.1^4,-1*K.1^6,K.1^6,-1*K.1^3,K.1^3,-1*K.1^7,K.1,-1*K.1^8,K.1^3,K.1^4,K.1^4,K.1,-1*K.1^2,-1*K.1^9,K.1^8,-1*K.1,K.1,K.1,-1*K.1^7,-1*K.1^3,-1*K.1^9,K.1^6,K.1^2,-1*K.1^8,K.1^7,-1*K.1^9,-1*K.1^9,K.1^7,-1*K.1^7,K.1^9,-1*K.1^7,K.1^9,K.1^9,-1*K.1^6,K.1^8,-1*K.1^2,-1*K.1,-1*K.1,-1*K.1^3,K.1^7,K.1^7,-1*K.1^3,K.1^9,K.1^2,K.1^3,-1*K.1^4,-1*K.1,K.1^3,1,-1,1,-1,1,-1,-1,K.1^5,-1*K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,K.1^5,-1*K.1^5,K.1^5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |1,-1,1,-1,1,1,-1,-1,-1*K.1^5,K.1^5,-1*K.1^5,K.1^5,1,K.1^5,-1,K.1^5,1,-1*K.1^5,-1,-1*K.1^5,-1*K.1^2,K.1^8,K.1^4,-1*K.1^6,-1*K.1^4,K.1^6,-1*K.1^8,-1*K.1^2,-1*K.1^4,K.1^6,-1*K.1^8,K.1^8,K.1^2,-1*K.1^8,-1*K.1^6,K.1^6,K.1^2,K.1^4,-1*K.1^4,-1*K.1^4,K.1^2,K.1^4,-1*K.1^6,K.1^8,K.1^2,K.1^4,K.1^6,-1*K.1^2,-1*K.1^2,-1*K.1^8,-1*K.1^6,K.1^8,1,K.1^8,K.1^2,-1*K.1^2,K.1,K.1,K.1^9,-1*K.1^7,-1*K.1^6,-1*K.1,-1*K.1^8,-1*K.1^8,K.1^7,-1*K.1^4,-1*K.1^3,K.1^6,K.1^7,K.1^7,-1*K.1^7,K.1^9,K.1,-1*K.1^3,-1*K.1^2,K.1^4,-1*K.1^6,K.1^9,K.1^3,K.1^3,K.1^9,-1*K.1^9,-1*K.1^3,-1*K.1^9,-1*K.1^3,K.1^3,K.1^2,K.1^6,-1*K.1^4,-1*K.1^7,K.1^7,-1*K.1,-1*K.1^9,-1*K.1^9,-1*K.1,K.1^3,K.1^4,K.1,K.1^8,-1*K.1^7,-1*K.1,1,-1,1,-1,1,-1,-1,-1*K.1^5,K.1^5,K.1^5,K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,-1*K.1^5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |1,-1,1,-1,1,1,-1,-1,K.1^5,-1*K.1^5,K.1^5,-1*K.1^5,1,-1*K.1^5,-1,-1*K.1^5,1,K.1^5,-1,K.1^5,K.1^8,-1*K.1^2,-1*K.1^6,K.1^4,K.1^6,-1*K.1^4,K.1^2,K.1^8,K.1^6,-1*K.1^4,K.1^2,-1*K.1^2,-1*K.1^8,K.1^2,K.1^4,-1*K.1^4,-1*K.1^8,-1*K.1^6,K.1^6,K.1^6,-1*K.1^8,-1*K.1^6,K.1^4,-1*K.1^2,-1*K.1^8,-1*K.1^6,-1*K.1^4,K.1^8,K.1^8,K.1^2,K.1^4,-1*K.1^2,1,-1*K.1^2,-1*K.1^8,K.1^8,-1*K.1^9,-1*K.1^9,-1*K.1,K.1^3,K.1^4,K.1^9,K.1^2,K.1^2,-1*K.1^3,K.1^6,K.1^7,-1*K.1^4,-1*K.1^3,-1*K.1^3,K.1^3,-1*K.1,-1*K.1^9,K.1^7,K.1^8,-1*K.1^6,K.1^4,-1*K.1,-1*K.1^7,-1*K.1^7,-1*K.1,K.1,K.1^7,K.1,K.1^7,-1*K.1^7,-1*K.1^8,-1*K.1^4,K.1^6,K.1^3,-1*K.1^3,K.1^9,K.1,K.1,K.1^9,-1*K.1^7,-1*K.1^6,-1*K.1^9,-1*K.1^2,K.1^3,K.1^9,1,-1,1,-1,1,-1,-1,K.1^5,-1*K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,K.1^5,-1*K.1^5,K.1^5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |1,-1,1,-1,1,1,-1,-1,-1*K.1^5,K.1^5,-1*K.1^5,K.1^5,1,K.1^5,-1,K.1^5,1,-1*K.1^5,-1,-1*K.1^5,K.1^8,-1*K.1^2,-1*K.1^6,K.1^4,K.1^6,-1*K.1^4,K.1^2,K.1^8,K.1^6,-1*K.1^4,K.1^2,-1*K.1^2,-1*K.1^8,K.1^2,K.1^4,-1*K.1^4,-1*K.1^8,-1*K.1^6,K.1^6,K.1^6,-1*K.1^8,-1*K.1^6,K.1^4,-1*K.1^2,-1*K.1^8,-1*K.1^6,-1*K.1^4,K.1^8,K.1^8,K.1^2,K.1^4,-1*K.1^2,1,-1*K.1^2,-1*K.1^8,K.1^8,K.1^9,K.1^9,K.1,-1*K.1^3,K.1^4,-1*K.1^9,K.1^2,K.1^2,K.1^3,K.1^6,-1*K.1^7,-1*K.1^4,K.1^3,K.1^3,-1*K.1^3,K.1,K.1^9,-1*K.1^7,K.1^8,-1*K.1^6,K.1^4,K.1,K.1^7,K.1^7,K.1,-1*K.1,-1*K.1^7,-1*K.1,-1*K.1^7,K.1^7,-1*K.1^8,-1*K.1^4,K.1^6,-1*K.1^3,K.1^3,-1*K.1^9,-1*K.1,-1*K.1,-1*K.1^9,K.1^7,-1*K.1^6,K.1^9,-1*K.1^2,-1*K.1^3,-1*K.1^9,1,-1,1,-1,1,-1,-1,-1*K.1^5,K.1^5,K.1^5,K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,-1*K.1^5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |1,-1,1,-1,1,1,-1,-1,K.1^5,-1*K.1^5,K.1^5,-1*K.1^5,1,-1*K.1^5,-1,-1*K.1^5,1,K.1^5,-1,K.1^5,-1*K.1^2,K.1^8,K.1^4,-1*K.1^6,-1*K.1^4,K.1^6,-1*K.1^8,-1*K.1^2,-1*K.1^4,K.1^6,-1*K.1^8,K.1^8,K.1^2,-1*K.1^8,-1*K.1^6,K.1^6,K.1^2,K.1^4,-1*K.1^4,-1*K.1^4,K.1^2,K.1^4,-1*K.1^6,K.1^8,K.1^2,K.1^4,K.1^6,-1*K.1^2,-1*K.1^2,-1*K.1^8,-1*K.1^6,K.1^8,1,K.1^8,K.1^2,-1*K.1^2,-1*K.1,-1*K.1,-1*K.1^9,K.1^7,-1*K.1^6,K.1,-1*K.1^8,-1*K.1^8,-1*K.1^7,-1*K.1^4,K.1^3,K.1^6,-1*K.1^7,-1*K.1^7,K.1^7,-1*K.1^9,-1*K.1,K.1^3,-1*K.1^2,K.1^4,-1*K.1^6,-1*K.1^9,-1*K.1^3,-1*K.1^3,-1*K.1^9,K.1^9,K.1^3,K.1^9,K.1^3,-1*K.1^3,K.1^2,K.1^6,-1*K.1^4,K.1^7,-1*K.1^7,K.1,K.1^9,K.1^9,K.1,-1*K.1^3,K.1^4,-1*K.1,K.1^8,K.1^7,K.1,1,-1,1,-1,1,-1,-1,K.1^5,-1*K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,K.1^5,-1*K.1^5,K.1^5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |1,-1,1,-1,1,1,-1,-1,-1*K.1^5,K.1^5,-1*K.1^5,K.1^5,1,K.1^5,-1,K.1^5,1,-1*K.1^5,-1,-1*K.1^5,-1*K.1^6,K.1^4,-1*K.1^2,K.1^8,K.1^2,-1*K.1^8,-1*K.1^4,-1*K.1^6,K.1^2,-1*K.1^8,-1*K.1^4,K.1^4,K.1^6,-1*K.1^4,K.1^8,-1*K.1^8,K.1^6,-1*K.1^2,K.1^2,K.1^2,K.1^6,-1*K.1^2,K.1^8,K.1^4,K.1^6,-1*K.1^2,-1*K.1^8,-1*K.1^6,-1*K.1^6,-1*K.1^4,K.1^8,K.1^4,1,K.1^4,K.1^6,-1*K.1^6,-1*K.1^3,-1*K.1^3,-1*K.1^7,K.1,K.1^8,K.1^3,-1*K.1^4,-1*K.1^4,-1*K.1,K.1^2,K.1^9,-1*K.1^8,-1*K.1,-1*K.1,K.1,-1*K.1^7,-1*K.1^3,K.1^9,-1*K.1^6,-1*K.1^2,K.1^8,-1*K.1^7,-1*K.1^9,-1*K.1^9,-1*K.1^7,K.1^7,K.1^9,K.1^7,K.1^9,-1*K.1^9,K.1^6,-1*K.1^8,K.1^2,K.1,-1*K.1,K.1^3,K.1^7,K.1^7,K.1^3,-1*K.1^9,-1*K.1^2,-1*K.1^3,K.1^4,K.1,K.1^3,1,-1,1,-1,1,-1,-1,-1*K.1^5,K.1^5,K.1^5,K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,-1*K.1^5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |1,-1,1,-1,1,1,-1,-1,K.1^5,-1*K.1^5,K.1^5,-1*K.1^5,1,-1*K.1^5,-1,-1*K.1^5,1,K.1^5,-1,K.1^5,K.1^4,-1*K.1^6,K.1^8,-1*K.1^2,-1*K.1^8,K.1^2,K.1^6,K.1^4,-1*K.1^8,K.1^2,K.1^6,-1*K.1^6,-1*K.1^4,K.1^6,-1*K.1^2,K.1^2,-1*K.1^4,K.1^8,-1*K.1^8,-1*K.1^8,-1*K.1^4,K.1^8,-1*K.1^2,-1*K.1^6,-1*K.1^4,K.1^8,K.1^2,K.1^4,K.1^4,K.1^6,-1*K.1^2,-1*K.1^6,1,-1*K.1^6,-1*K.1^4,K.1^4,K.1^7,K.1^7,K.1^3,-1*K.1^9,-1*K.1^2,-1*K.1^7,K.1^6,K.1^6,K.1^9,-1*K.1^8,-1*K.1,K.1^2,K.1^9,K.1^9,-1*K.1^9,K.1^3,K.1^7,-1*K.1,K.1^4,K.1^8,-1*K.1^2,K.1^3,K.1,K.1,K.1^3,-1*K.1^3,-1*K.1,-1*K.1^3,-1*K.1,K.1,-1*K.1^4,K.1^2,-1*K.1^8,-1*K.1^9,K.1^9,-1*K.1^7,-1*K.1^3,-1*K.1^3,-1*K.1^7,K.1,K.1^8,K.1^7,-1*K.1^6,-1*K.1^9,-1*K.1^7,1,-1,1,-1,1,-1,-1,K.1^5,-1*K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,K.1^5,-1*K.1^5,K.1^5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |1,-1,1,-1,1,1,-1,-1,-1*K.1^5,K.1^5,-1*K.1^5,K.1^5,1,K.1^5,-1,K.1^5,1,-1*K.1^5,-1,-1*K.1^5,K.1^4,-1*K.1^6,K.1^8,-1*K.1^2,-1*K.1^8,K.1^2,K.1^6,K.1^4,-1*K.1^8,K.1^2,K.1^6,-1*K.1^6,-1*K.1^4,K.1^6,-1*K.1^2,K.1^2,-1*K.1^4,K.1^8,-1*K.1^8,-1*K.1^8,-1*K.1^4,K.1^8,-1*K.1^2,-1*K.1^6,-1*K.1^4,K.1^8,K.1^2,K.1^4,K.1^4,K.1^6,-1*K.1^2,-1*K.1^6,1,-1*K.1^6,-1*K.1^4,K.1^4,-1*K.1^7,-1*K.1^7,-1*K.1^3,K.1^9,-1*K.1^2,K.1^7,K.1^6,K.1^6,-1*K.1^9,-1*K.1^8,K.1,K.1^2,-1*K.1^9,-1*K.1^9,K.1^9,-1*K.1^3,-1*K.1^7,K.1,K.1^4,K.1^8,-1*K.1^2,-1*K.1^3,-1*K.1,-1*K.1,-1*K.1^3,K.1^3,K.1,K.1^3,K.1,-1*K.1,-1*K.1^4,K.1^2,-1*K.1^8,K.1^9,-1*K.1^9,K.1^7,K.1^3,K.1^3,K.1^7,-1*K.1,K.1^8,-1*K.1^7,-1*K.1^6,K.1^9,K.1^7,1,-1,1,-1,1,-1,-1,-1*K.1^5,K.1^5,K.1^5,K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,-1*K.1^5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |1,-1,1,-1,1,1,-1,-1,K.1^5,-1*K.1^5,K.1^5,-1*K.1^5,1,-1*K.1^5,-1,-1*K.1^5,1,K.1^5,-1,K.1^5,-1*K.1^6,K.1^4,-1*K.1^2,K.1^8,K.1^2,-1*K.1^8,-1*K.1^4,-1*K.1^6,K.1^2,-1*K.1^8,-1*K.1^4,K.1^4,K.1^6,-1*K.1^4,K.1^8,-1*K.1^8,K.1^6,-1*K.1^2,K.1^2,K.1^2,K.1^6,-1*K.1^2,K.1^8,K.1^4,K.1^6,-1*K.1^2,-1*K.1^8,-1*K.1^6,-1*K.1^6,-1*K.1^4,K.1^8,K.1^4,1,K.1^4,K.1^6,-1*K.1^6,K.1^3,K.1^3,K.1^7,-1*K.1,K.1^8,-1*K.1^3,-1*K.1^4,-1*K.1^4,K.1,K.1^2,-1*K.1^9,-1*K.1^8,K.1,K.1,-1*K.1,K.1^7,K.1^3,-1*K.1^9,-1*K.1^6,-1*K.1^2,K.1^8,K.1^7,K.1^9,K.1^9,K.1^7,-1*K.1^7,-1*K.1^9,-1*K.1^7,-1*K.1^9,K.1^9,K.1^6,-1*K.1^8,K.1^2,-1*K.1,K.1,-1*K.1^3,-1*K.1^7,-1*K.1^7,-1*K.1^3,K.1^9,-1*K.1^2,K.1^3,K.1^4,-1*K.1,-1*K.1^3,1,-1,1,-1,1,-1,-1,K.1^5,-1*K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,K.1^5,-1*K.1^5,K.1^5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |1,1,-1,-1,-1,1,-1,1,-1*K.1^5,K.1^5,K.1^5,-1*K.1^5,-1*K.1^5,-1,K.1^5,1,K.1^5,1,-1*K.1^5,-1,-1*K.1^2,K.1^8,K.1^4,-1*K.1^6,K.1^4,K.1^6,-1*K.1^8,K.1^2,K.1^4,K.1^6,-1*K.1^8,-1*K.1^8,K.1^2,K.1^8,K.1^6,-1*K.1^6,-1*K.1^2,K.1^4,-1*K.1^4,-1*K.1^4,-1*K.1^2,-1*K.1^4,-1*K.1^6,K.1^8,K.1^2,-1*K.1^4,-1*K.1^6,K.1^2,-1*K.1^2,K.1^8,K.1^6,-1*K.1^8,1,K.1^3,K.1^7,-1*K.1^7,K.1^6,K.1,-1*K.1^4,K.1^2,K.1,K.1^6,K.1^3,-1*K.1^3,K.1^7,-1*K.1^9,K.1^3,-1*K.1,-1*K.1^2,-1*K.1^7,-1*K.1^2,K.1^4,-1*K.1^6,-1*K.1^3,K.1^7,-1*K.1^9,-1*K.1,-1*K.1^9,K.1^8,-1*K.1^8,K.1^9,K.1^9,-1*K.1^8,-1*K.1^9,K.1^8,K.1^3,-1*K.1^7,K.1,K.1^9,K.1^7,K.1^2,K.1,-1*K.1^4,K.1^4,-1*K.1,-1*K.1^3,K.1^9,-1*K.1,-1*K.1^3,-1*K.1^7,-1*K.1^6,1,-1,-1,-1,-1,1,1,-1*K.1^5,K.1^5,K.1^5,-1*K.1^5,K.1^5,K.1^5,-1*K.1^5,-1*K.1^5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |1,1,-1,-1,-1,1,-1,1,K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,K.1^5,-1,-1*K.1^5,1,-1*K.1^5,1,K.1^5,-1,K.1^8,-1*K.1^2,-1*K.1^6,K.1^4,-1*K.1^6,-1*K.1^4,K.1^2,-1*K.1^8,-1*K.1^6,-1*K.1^4,K.1^2,K.1^2,-1*K.1^8,-1*K.1^2,-1*K.1^4,K.1^4,K.1^8,-1*K.1^6,K.1^6,K.1^6,K.1^8,K.1^6,K.1^4,-1*K.1^2,-1*K.1^8,K.1^6,K.1^4,-1*K.1^8,K.1^8,-1*K.1^2,-1*K.1^4,K.1^2,1,-1*K.1^7,-1*K.1^3,K.1^3,-1*K.1^4,-1*K.1^9,K.1^6,-1*K.1^8,-1*K.1^9,-1*K.1^4,-1*K.1^7,K.1^7,-1*K.1^3,K.1,-1*K.1^7,K.1^9,K.1^8,K.1^3,K.1^8,-1*K.1^6,K.1^4,K.1^7,-1*K.1^3,K.1,K.1^9,K.1,-1*K.1^2,K.1^2,-1*K.1,-1*K.1,K.1^2,K.1,-1*K.1^2,-1*K.1^7,K.1^3,-1*K.1^9,-1*K.1,-1*K.1^3,-1*K.1^8,-1*K.1^9,K.1^6,-1*K.1^6,K.1^9,K.1^7,-1*K.1,K.1^9,K.1^7,K.1^3,K.1^4,1,-1,-1,-1,-1,1,1,K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,K.1^5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |1,1,-1,-1,-1,1,-1,1,-1*K.1^5,K.1^5,K.1^5,-1*K.1^5,-1*K.1^5,-1,K.1^5,1,K.1^5,1,-1*K.1^5,-1,K.1^8,-1*K.1^2,-1*K.1^6,K.1^4,-1*K.1^6,-1*K.1^4,K.1^2,-1*K.1^8,-1*K.1^6,-1*K.1^4,K.1^2,K.1^2,-1*K.1^8,-1*K.1^2,-1*K.1^4,K.1^4,K.1^8,-1*K.1^6,K.1^6,K.1^6,K.1^8,K.1^6,K.1^4,-1*K.1^2,-1*K.1^8,K.1^6,K.1^4,-1*K.1^8,K.1^8,-1*K.1^2,-1*K.1^4,K.1^2,1,K.1^7,K.1^3,-1*K.1^3,-1*K.1^4,K.1^9,K.1^6,-1*K.1^8,K.1^9,-1*K.1^4,K.1^7,-1*K.1^7,K.1^3,-1*K.1,K.1^7,-1*K.1^9,K.1^8,-1*K.1^3,K.1^8,-1*K.1^6,K.1^4,-1*K.1^7,K.1^3,-1*K.1,-1*K.1^9,-1*K.1,-1*K.1^2,K.1^2,K.1,K.1,K.1^2,-1*K.1,-1*K.1^2,K.1^7,-1*K.1^3,K.1^9,K.1,K.1^3,-1*K.1^8,K.1^9,K.1^6,-1*K.1^6,-1*K.1^9,-1*K.1^7,K.1,-1*K.1^9,-1*K.1^7,-1*K.1^3,K.1^4,1,-1,-1,-1,-1,1,1,-1*K.1^5,K.1^5,K.1^5,-1*K.1^5,K.1^5,K.1^5,-1*K.1^5,-1*K.1^5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |1,1,-1,-1,-1,1,-1,1,K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,K.1^5,-1,-1*K.1^5,1,-1*K.1^5,1,K.1^5,-1,-1*K.1^2,K.1^8,K.1^4,-1*K.1^6,K.1^4,K.1^6,-1*K.1^8,K.1^2,K.1^4,K.1^6,-1*K.1^8,-1*K.1^8,K.1^2,K.1^8,K.1^6,-1*K.1^6,-1*K.1^2,K.1^4,-1*K.1^4,-1*K.1^4,-1*K.1^2,-1*K.1^4,-1*K.1^6,K.1^8,K.1^2,-1*K.1^4,-1*K.1^6,K.1^2,-1*K.1^2,K.1^8,K.1^6,-1*K.1^8,1,-1*K.1^3,-1*K.1^7,K.1^7,K.1^6,-1*K.1,-1*K.1^4,K.1^2,-1*K.1,K.1^6,-1*K.1^3,K.1^3,-1*K.1^7,K.1^9,-1*K.1^3,K.1,-1*K.1^2,K.1^7,-1*K.1^2,K.1^4,-1*K.1^6,K.1^3,-1*K.1^7,K.1^9,K.1,K.1^9,K.1^8,-1*K.1^8,-1*K.1^9,-1*K.1^9,-1*K.1^8,K.1^9,K.1^8,-1*K.1^3,K.1^7,-1*K.1,-1*K.1^9,-1*K.1^7,K.1^2,-1*K.1,-1*K.1^4,K.1^4,K.1,K.1^3,-1*K.1^9,K.1,K.1^3,K.1^7,-1*K.1^6,1,-1,-1,-1,-1,1,1,K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,K.1^5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |1,1,-1,-1,-1,1,-1,1,-1*K.1^5,K.1^5,K.1^5,-1*K.1^5,-1*K.1^5,-1,K.1^5,1,K.1^5,1,-1*K.1^5,-1,-1*K.1^6,K.1^4,-1*K.1^2,K.1^8,-1*K.1^2,-1*K.1^8,-1*K.1^4,K.1^6,-1*K.1^2,-1*K.1^8,-1*K.1^4,-1*K.1^4,K.1^6,K.1^4,-1*K.1^8,K.1^8,-1*K.1^6,-1*K.1^2,K.1^2,K.1^2,-1*K.1^6,K.1^2,K.1^8,K.1^4,K.1^6,K.1^2,K.1^8,K.1^6,-1*K.1^6,K.1^4,-1*K.1^8,-1*K.1^4,1,-1*K.1^9,-1*K.1,K.1,-1*K.1^8,-1*K.1^3,K.1^2,K.1^6,-1*K.1^3,-1*K.1^8,-1*K.1^9,K.1^9,-1*K.1,K.1^7,-1*K.1^9,K.1^3,-1*K.1^6,K.1,-1*K.1^6,-1*K.1^2,K.1^8,K.1^9,-1*K.1,K.1^7,K.1^3,K.1^7,K.1^4,-1*K.1^4,-1*K.1^7,-1*K.1^7,-1*K.1^4,K.1^7,K.1^4,-1*K.1^9,K.1,-1*K.1^3,-1*K.1^7,-1*K.1,K.1^6,-1*K.1^3,K.1^2,-1*K.1^2,K.1^3,K.1^9,-1*K.1^7,K.1^3,K.1^9,K.1,K.1^8,1,-1,-1,-1,-1,1,1,-1*K.1^5,K.1^5,K.1^5,-1*K.1^5,K.1^5,K.1^5,-1*K.1^5,-1*K.1^5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |1,1,-1,-1,-1,1,-1,1,K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,K.1^5,-1,-1*K.1^5,1,-1*K.1^5,1,K.1^5,-1,K.1^4,-1*K.1^6,K.1^8,-1*K.1^2,K.1^8,K.1^2,K.1^6,-1*K.1^4,K.1^8,K.1^2,K.1^6,K.1^6,-1*K.1^4,-1*K.1^6,K.1^2,-1*K.1^2,K.1^4,K.1^8,-1*K.1^8,-1*K.1^8,K.1^4,-1*K.1^8,-1*K.1^2,-1*K.1^6,-1*K.1^4,-1*K.1^8,-1*K.1^2,-1*K.1^4,K.1^4,-1*K.1^6,K.1^2,K.1^6,1,K.1,K.1^9,-1*K.1^9,K.1^2,K.1^7,-1*K.1^8,-1*K.1^4,K.1^7,K.1^2,K.1,-1*K.1,K.1^9,-1*K.1^3,K.1,-1*K.1^7,K.1^4,-1*K.1^9,K.1^4,K.1^8,-1*K.1^2,-1*K.1,K.1^9,-1*K.1^3,-1*K.1^7,-1*K.1^3,-1*K.1^6,K.1^6,K.1^3,K.1^3,K.1^6,-1*K.1^3,-1*K.1^6,K.1,-1*K.1^9,K.1^7,K.1^3,K.1^9,-1*K.1^4,K.1^7,-1*K.1^8,K.1^8,-1*K.1^7,-1*K.1,K.1^3,-1*K.1^7,-1*K.1,-1*K.1^9,-1*K.1^2,1,-1,-1,-1,-1,1,1,K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,K.1^5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |1,1,-1,-1,-1,1,-1,1,-1*K.1^5,K.1^5,K.1^5,-1*K.1^5,-1*K.1^5,-1,K.1^5,1,K.1^5,1,-1*K.1^5,-1,K.1^4,-1*K.1^6,K.1^8,-1*K.1^2,K.1^8,K.1^2,K.1^6,-1*K.1^4,K.1^8,K.1^2,K.1^6,K.1^6,-1*K.1^4,-1*K.1^6,K.1^2,-1*K.1^2,K.1^4,K.1^8,-1*K.1^8,-1*K.1^8,K.1^4,-1*K.1^8,-1*K.1^2,-1*K.1^6,-1*K.1^4,-1*K.1^8,-1*K.1^2,-1*K.1^4,K.1^4,-1*K.1^6,K.1^2,K.1^6,1,-1*K.1,-1*K.1^9,K.1^9,K.1^2,-1*K.1^7,-1*K.1^8,-1*K.1^4,-1*K.1^7,K.1^2,-1*K.1,K.1,-1*K.1^9,K.1^3,-1*K.1,K.1^7,K.1^4,K.1^9,K.1^4,K.1^8,-1*K.1^2,K.1,-1*K.1^9,K.1^3,K.1^7,K.1^3,-1*K.1^6,K.1^6,-1*K.1^3,-1*K.1^3,K.1^6,K.1^3,-1*K.1^6,-1*K.1,K.1^9,-1*K.1^7,-1*K.1^3,-1*K.1^9,-1*K.1^4,-1*K.1^7,-1*K.1^8,K.1^8,K.1^7,K.1,-1*K.1^3,K.1^7,K.1,K.1^9,-1*K.1^2,1,-1,-1,-1,-1,1,1,-1*K.1^5,K.1^5,K.1^5,-1*K.1^5,K.1^5,K.1^5,-1*K.1^5,-1*K.1^5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |1,1,-1,-1,-1,1,-1,1,K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,K.1^5,-1,-1*K.1^5,1,-1*K.1^5,1,K.1^5,-1,-1*K.1^6,K.1^4,-1*K.1^2,K.1^8,-1*K.1^2,-1*K.1^8,-1*K.1^4,K.1^6,-1*K.1^2,-1*K.1^8,-1*K.1^4,-1*K.1^4,K.1^6,K.1^4,-1*K.1^8,K.1^8,-1*K.1^6,-1*K.1^2,K.1^2,K.1^2,-1*K.1^6,K.1^2,K.1^8,K.1^4,K.1^6,K.1^2,K.1^8,K.1^6,-1*K.1^6,K.1^4,-1*K.1^8,-1*K.1^4,1,K.1^9,K.1,-1*K.1,-1*K.1^8,K.1^3,K.1^2,K.1^6,K.1^3,-1*K.1^8,K.1^9,-1*K.1^9,K.1,-1*K.1^7,K.1^9,-1*K.1^3,-1*K.1^6,-1*K.1,-1*K.1^6,-1*K.1^2,K.1^8,-1*K.1^9,K.1,-1*K.1^7,-1*K.1^3,-1*K.1^7,K.1^4,-1*K.1^4,K.1^7,K.1^7,-1*K.1^4,-1*K.1^7,K.1^4,K.1^9,-1*K.1,K.1^3,K.1^7,K.1,K.1^6,K.1^3,K.1^2,-1*K.1^2,-1*K.1^3,-1*K.1^9,K.1^7,-1*K.1^3,-1*K.1^9,-1*K.1,K.1^8,1,-1,-1,-1,-1,1,1,K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,K.1^5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |1,1,-1,-1,-1,1,-1,1,-1*K.1^5,K.1^5,K.1^5,-1*K.1^5,K.1^5,1,-1*K.1^5,-1,-1*K.1^5,-1,K.1^5,1,-1*K.1^2,K.1^8,K.1^4,-1*K.1^6,K.1^4,K.1^6,-1*K.1^8,K.1^2,K.1^4,K.1^6,-1*K.1^8,-1*K.1^8,K.1^2,K.1^8,K.1^6,-1*K.1^6,-1*K.1^2,K.1^4,-1*K.1^4,-1*K.1^4,-1*K.1^2,-1*K.1^4,-1*K.1^6,K.1^8,K.1^2,-1*K.1^4,-1*K.1^6,K.1^2,-1*K.1^2,K.1^8,K.1^6,-1*K.1^8,1,-1*K.1^3,-1*K.1^7,K.1^7,-1*K.1^6,K.1,K.1^4,-1*K.1^2,-1*K.1,-1*K.1^6,-1*K.1^3,K.1^3,K.1^7,K.1^9,K.1^3,K.1,K.1^2,-1*K.1^7,K.1^2,-1*K.1^4,K.1^6,-1*K.1^3,-1*K.1^7,K.1^9,K.1,-1*K.1^9,-1*K.1^8,K.1^8,K.1^9,K.1^9,K.1^8,-1*K.1^9,-1*K.1^8,K.1^3,K.1^7,-1*K.1,-1*K.1^9,K.1^7,-1*K.1^2,K.1,K.1^4,-1*K.1^4,-1*K.1,-1*K.1^3,-1*K.1^9,-1*K.1,K.1^3,-1*K.1^7,K.1^6,1,-1,-1,-1,-1,1,1,-1*K.1^5,K.1^5,K.1^5,-1*K.1^5,K.1^5,K.1^5,-1*K.1^5,-1*K.1^5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |1,1,-1,-1,-1,1,-1,1,K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,-1*K.1^5,1,K.1^5,-1,K.1^5,-1,-1*K.1^5,1,K.1^8,-1*K.1^2,-1*K.1^6,K.1^4,-1*K.1^6,-1*K.1^4,K.1^2,-1*K.1^8,-1*K.1^6,-1*K.1^4,K.1^2,K.1^2,-1*K.1^8,-1*K.1^2,-1*K.1^4,K.1^4,K.1^8,-1*K.1^6,K.1^6,K.1^6,K.1^8,K.1^6,K.1^4,-1*K.1^2,-1*K.1^8,K.1^6,K.1^4,-1*K.1^8,K.1^8,-1*K.1^2,-1*K.1^4,K.1^2,1,K.1^7,K.1^3,-1*K.1^3,K.1^4,-1*K.1^9,-1*K.1^6,K.1^8,K.1^9,K.1^4,K.1^7,-1*K.1^7,-1*K.1^3,-1*K.1,-1*K.1^7,-1*K.1^9,-1*K.1^8,K.1^3,-1*K.1^8,K.1^6,-1*K.1^4,K.1^7,K.1^3,-1*K.1,-1*K.1^9,K.1,K.1^2,-1*K.1^2,-1*K.1,-1*K.1,-1*K.1^2,K.1,K.1^2,-1*K.1^7,-1*K.1^3,K.1^9,K.1,-1*K.1^3,K.1^8,-1*K.1^9,-1*K.1^6,K.1^6,K.1^9,K.1^7,K.1,K.1^9,-1*K.1^7,K.1^3,-1*K.1^4,1,-1,-1,-1,-1,1,1,K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,K.1^5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |1,1,-1,-1,-1,1,-1,1,-1*K.1^5,K.1^5,K.1^5,-1*K.1^5,K.1^5,1,-1*K.1^5,-1,-1*K.1^5,-1,K.1^5,1,K.1^8,-1*K.1^2,-1*K.1^6,K.1^4,-1*K.1^6,-1*K.1^4,K.1^2,-1*K.1^8,-1*K.1^6,-1*K.1^4,K.1^2,K.1^2,-1*K.1^8,-1*K.1^2,-1*K.1^4,K.1^4,K.1^8,-1*K.1^6,K.1^6,K.1^6,K.1^8,K.1^6,K.1^4,-1*K.1^2,-1*K.1^8,K.1^6,K.1^4,-1*K.1^8,K.1^8,-1*K.1^2,-1*K.1^4,K.1^2,1,-1*K.1^7,-1*K.1^3,K.1^3,K.1^4,K.1^9,-1*K.1^6,K.1^8,-1*K.1^9,K.1^4,-1*K.1^7,K.1^7,K.1^3,K.1,K.1^7,K.1^9,-1*K.1^8,-1*K.1^3,-1*K.1^8,K.1^6,-1*K.1^4,-1*K.1^7,-1*K.1^3,K.1,K.1^9,-1*K.1,K.1^2,-1*K.1^2,K.1,K.1,-1*K.1^2,-1*K.1,K.1^2,K.1^7,K.1^3,-1*K.1^9,-1*K.1,K.1^3,K.1^8,K.1^9,-1*K.1^6,K.1^6,-1*K.1^9,-1*K.1^7,-1*K.1,-1*K.1^9,K.1^7,-1*K.1^3,-1*K.1^4,1,-1,-1,-1,-1,1,1,-1*K.1^5,K.1^5,K.1^5,-1*K.1^5,K.1^5,K.1^5,-1*K.1^5,-1*K.1^5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |1,1,-1,-1,-1,1,-1,1,K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,-1*K.1^5,1,K.1^5,-1,K.1^5,-1,-1*K.1^5,1,-1*K.1^2,K.1^8,K.1^4,-1*K.1^6,K.1^4,K.1^6,-1*K.1^8,K.1^2,K.1^4,K.1^6,-1*K.1^8,-1*K.1^8,K.1^2,K.1^8,K.1^6,-1*K.1^6,-1*K.1^2,K.1^4,-1*K.1^4,-1*K.1^4,-1*K.1^2,-1*K.1^4,-1*K.1^6,K.1^8,K.1^2,-1*K.1^4,-1*K.1^6,K.1^2,-1*K.1^2,K.1^8,K.1^6,-1*K.1^8,1,K.1^3,K.1^7,-1*K.1^7,-1*K.1^6,-1*K.1,K.1^4,-1*K.1^2,K.1,-1*K.1^6,K.1^3,-1*K.1^3,-1*K.1^7,-1*K.1^9,-1*K.1^3,-1*K.1,K.1^2,K.1^7,K.1^2,-1*K.1^4,K.1^6,K.1^3,K.1^7,-1*K.1^9,-1*K.1,K.1^9,-1*K.1^8,K.1^8,-1*K.1^9,-1*K.1^9,K.1^8,K.1^9,-1*K.1^8,-1*K.1^3,-1*K.1^7,K.1,K.1^9,-1*K.1^7,-1*K.1^2,-1*K.1,K.1^4,-1*K.1^4,K.1,K.1^3,K.1^9,K.1,-1*K.1^3,K.1^7,K.1^6,1,-1,-1,-1,-1,1,1,K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,K.1^5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |1,1,-1,-1,-1,1,-1,1,-1*K.1^5,K.1^5,K.1^5,-1*K.1^5,K.1^5,1,-1*K.1^5,-1,-1*K.1^5,-1,K.1^5,1,-1*K.1^6,K.1^4,-1*K.1^2,K.1^8,-1*K.1^2,-1*K.1^8,-1*K.1^4,K.1^6,-1*K.1^2,-1*K.1^8,-1*K.1^4,-1*K.1^4,K.1^6,K.1^4,-1*K.1^8,K.1^8,-1*K.1^6,-1*K.1^2,K.1^2,K.1^2,-1*K.1^6,K.1^2,K.1^8,K.1^4,K.1^6,K.1^2,K.1^8,K.1^6,-1*K.1^6,K.1^4,-1*K.1^8,-1*K.1^4,1,K.1^9,K.1,-1*K.1,K.1^8,-1*K.1^3,-1*K.1^2,-1*K.1^6,K.1^3,K.1^8,K.1^9,-1*K.1^9,-1*K.1,-1*K.1^7,-1*K.1^9,-1*K.1^3,K.1^6,K.1,K.1^6,K.1^2,-1*K.1^8,K.1^9,K.1,-1*K.1^7,-1*K.1^3,K.1^7,-1*K.1^4,K.1^4,-1*K.1^7,-1*K.1^7,K.1^4,K.1^7,-1*K.1^4,-1*K.1^9,-1*K.1,K.1^3,K.1^7,-1*K.1,-1*K.1^6,-1*K.1^3,-1*K.1^2,K.1^2,K.1^3,K.1^9,K.1^7,K.1^3,-1*K.1^9,K.1,-1*K.1^8,1,-1,-1,-1,-1,1,1,-1*K.1^5,K.1^5,K.1^5,-1*K.1^5,K.1^5,K.1^5,-1*K.1^5,-1*K.1^5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |1,1,-1,-1,-1,1,-1,1,K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,-1*K.1^5,1,K.1^5,-1,K.1^5,-1,-1*K.1^5,1,K.1^4,-1*K.1^6,K.1^8,-1*K.1^2,K.1^8,K.1^2,K.1^6,-1*K.1^4,K.1^8,K.1^2,K.1^6,K.1^6,-1*K.1^4,-1*K.1^6,K.1^2,-1*K.1^2,K.1^4,K.1^8,-1*K.1^8,-1*K.1^8,K.1^4,-1*K.1^8,-1*K.1^2,-1*K.1^6,-1*K.1^4,-1*K.1^8,-1*K.1^2,-1*K.1^4,K.1^4,-1*K.1^6,K.1^2,K.1^6,1,-1*K.1,-1*K.1^9,K.1^9,-1*K.1^2,K.1^7,K.1^8,K.1^4,-1*K.1^7,-1*K.1^2,-1*K.1,K.1,K.1^9,K.1^3,K.1,K.1^7,-1*K.1^4,-1*K.1^9,-1*K.1^4,-1*K.1^8,K.1^2,-1*K.1,-1*K.1^9,K.1^3,K.1^7,-1*K.1^3,K.1^6,-1*K.1^6,K.1^3,K.1^3,-1*K.1^6,-1*K.1^3,K.1^6,K.1,K.1^9,-1*K.1^7,-1*K.1^3,K.1^9,K.1^4,K.1^7,K.1^8,-1*K.1^8,-1*K.1^7,-1*K.1,-1*K.1^3,-1*K.1^7,K.1,-1*K.1^9,K.1^2,1,-1,-1,-1,-1,1,1,K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,K.1^5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |1,1,-1,-1,-1,1,-1,1,-1*K.1^5,K.1^5,K.1^5,-1*K.1^5,K.1^5,1,-1*K.1^5,-1,-1*K.1^5,-1,K.1^5,1,K.1^4,-1*K.1^6,K.1^8,-1*K.1^2,K.1^8,K.1^2,K.1^6,-1*K.1^4,K.1^8,K.1^2,K.1^6,K.1^6,-1*K.1^4,-1*K.1^6,K.1^2,-1*K.1^2,K.1^4,K.1^8,-1*K.1^8,-1*K.1^8,K.1^4,-1*K.1^8,-1*K.1^2,-1*K.1^6,-1*K.1^4,-1*K.1^8,-1*K.1^2,-1*K.1^4,K.1^4,-1*K.1^6,K.1^2,K.1^6,1,K.1,K.1^9,-1*K.1^9,-1*K.1^2,-1*K.1^7,K.1^8,K.1^4,K.1^7,-1*K.1^2,K.1,-1*K.1,-1*K.1^9,-1*K.1^3,-1*K.1,-1*K.1^7,-1*K.1^4,K.1^9,-1*K.1^4,-1*K.1^8,K.1^2,K.1,K.1^9,-1*K.1^3,-1*K.1^7,K.1^3,K.1^6,-1*K.1^6,-1*K.1^3,-1*K.1^3,-1*K.1^6,K.1^3,K.1^6,-1*K.1,-1*K.1^9,K.1^7,K.1^3,-1*K.1^9,K.1^4,-1*K.1^7,K.1^8,-1*K.1^8,K.1^7,K.1,K.1^3,K.1^7,-1*K.1,K.1^9,K.1^2,1,-1,-1,-1,-1,1,1,-1*K.1^5,K.1^5,K.1^5,-1*K.1^5,K.1^5,K.1^5,-1*K.1^5,-1*K.1^5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |1,1,-1,-1,-1,1,-1,1,K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,-1*K.1^5,1,K.1^5,-1,K.1^5,-1,-1*K.1^5,1,-1*K.1^6,K.1^4,-1*K.1^2,K.1^8,-1*K.1^2,-1*K.1^8,-1*K.1^4,K.1^6,-1*K.1^2,-1*K.1^8,-1*K.1^4,-1*K.1^4,K.1^6,K.1^4,-1*K.1^8,K.1^8,-1*K.1^6,-1*K.1^2,K.1^2,K.1^2,-1*K.1^6,K.1^2,K.1^8,K.1^4,K.1^6,K.1^2,K.1^8,K.1^6,-1*K.1^6,K.1^4,-1*K.1^8,-1*K.1^4,1,-1*K.1^9,-1*K.1,K.1,K.1^8,K.1^3,-1*K.1^2,-1*K.1^6,-1*K.1^3,K.1^8,-1*K.1^9,K.1^9,K.1,K.1^7,K.1^9,K.1^3,K.1^6,-1*K.1,K.1^6,K.1^2,-1*K.1^8,-1*K.1^9,-1*K.1,K.1^7,K.1^3,-1*K.1^7,-1*K.1^4,K.1^4,K.1^7,K.1^7,K.1^4,-1*K.1^7,-1*K.1^4,K.1^9,K.1,-1*K.1^3,-1*K.1^7,K.1,-1*K.1^6,K.1^3,-1*K.1^2,K.1^2,-1*K.1^3,-1*K.1^9,-1*K.1^7,-1*K.1^3,K.1^9,-1*K.1,-1*K.1^8,1,-1,-1,-1,-1,1,1,K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,-1*K.1^5,-1*K.1^5,K.1^5,K.1^5]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
x := CR!\[2, -2, -2, 2, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, 2, 2, 2, 2, -2, -2, 2, -2, -2, -2, -2, 2, -2, -2, 2, -2, 2, -2, -2, 2, -2, 2, -2, -2, 2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 2, -2, 2, -2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, -2, -2, -2, 2, 2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, -2, -2, -2, -2, -2, 2, 2, 2, -2, 2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, -2, 2, 2, -2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, 2, 2, 2, -2, -2, -2, 2, 2, -2, -2, -2, 2, 2, -2, 2, -2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 2, 2, -2, 2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, -2, -2, 2, -2, 2, 2, 2, 2, 2, -2, 2, -2, -2, 2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, -2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := -1;
x`IsIrreducible := true; 
K := CyclotomicField(5: Sparse := true);
S := [ K |2,-2,-2,2,2,-2,-2,2,0,0,0,0,0,0,0,0,0,0,0,0,2*K.1^-2,2*K.1^2,2*K.1,2*K.1^-1,-2*K.1,2*K.1^-1,2*K.1^2,2*K.1^-2,2*K.1,-2*K.1^-1,-2*K.1^2,2*K.1^2,-2*K.1^-2,-2*K.1^2,-2*K.1^-1,-2*K.1^-1,2*K.1^-2,-2*K.1,-2*K.1,2*K.1,-2*K.1^-2,2*K.1,-2*K.1^-1,-2*K.1^2,2*K.1^-2,-2*K.1,2*K.1^-1,-2*K.1^-2,-2*K.1^-2,2*K.1^2,2*K.1^-1,-2*K.1^2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,-2,2,2,-2,2,-2,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(5: Sparse := true);
S := [ K |2,-2,-2,2,2,-2,-2,2,0,0,0,0,0,0,0,0,0,0,0,0,2*K.1^2,2*K.1^-2,2*K.1^-1,2*K.1,-2*K.1^-1,2*K.1,2*K.1^-2,2*K.1^2,2*K.1^-1,-2*K.1,-2*K.1^-2,2*K.1^-2,-2*K.1^2,-2*K.1^-2,-2*K.1,-2*K.1,2*K.1^2,-2*K.1^-1,-2*K.1^-1,2*K.1^-1,-2*K.1^2,2*K.1^-1,-2*K.1,-2*K.1^-2,2*K.1^2,-2*K.1^-1,2*K.1,-2*K.1^2,-2*K.1^2,2*K.1^-2,2*K.1,-2*K.1^-2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,-2,2,2,-2,2,-2,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(5: Sparse := true);
S := [ K |2,-2,-2,2,2,-2,-2,2,0,0,0,0,0,0,0,0,0,0,0,0,2*K.1^-1,2*K.1,2*K.1^-2,2*K.1^2,-2*K.1^-2,2*K.1^2,2*K.1,2*K.1^-1,2*K.1^-2,-2*K.1^2,-2*K.1,2*K.1,-2*K.1^-1,-2*K.1,-2*K.1^2,-2*K.1^2,2*K.1^-1,-2*K.1^-2,-2*K.1^-2,2*K.1^-2,-2*K.1^-1,2*K.1^-2,-2*K.1^2,-2*K.1,2*K.1^-1,-2*K.1^-2,2*K.1^2,-2*K.1^-1,-2*K.1^-1,2*K.1,2*K.1^2,-2*K.1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,-2,2,2,-2,2,-2,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(5: Sparse := true);
S := [ K |2,-2,-2,2,2,-2,-2,2,0,0,0,0,0,0,0,0,0,0,0,0,2*K.1,2*K.1^-1,2*K.1^2,2*K.1^-2,-2*K.1^2,2*K.1^-2,2*K.1^-1,2*K.1,2*K.1^2,-2*K.1^-2,-2*K.1^-1,2*K.1^-1,-2*K.1,-2*K.1^-1,-2*K.1^-2,-2*K.1^-2,2*K.1,-2*K.1^2,-2*K.1^2,2*K.1^2,-2*K.1,2*K.1^2,-2*K.1^-2,-2*K.1^-1,2*K.1,-2*K.1^2,2*K.1^-2,-2*K.1,-2*K.1,2*K.1^-1,2*K.1^-2,-2*K.1^-1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,-2,2,2,-2,2,-2,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(5: Sparse := true);
S := [ K |2,-2,2,-2,-2,-2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2*K.1^-2,2*K.1^2,2*K.1,2*K.1^-1,-2*K.1,-2*K.1^-1,-2*K.1^2,-2*K.1^-2,2*K.1,2*K.1^-1,2*K.1^2,-2*K.1^2,2*K.1^-2,-2*K.1^2,2*K.1^-1,-2*K.1^-1,2*K.1^-2,-2*K.1,2*K.1,-2*K.1,-2*K.1^-2,-2*K.1,-2*K.1^-1,-2*K.1^2,-2*K.1^-2,2*K.1,2*K.1^-1,2*K.1^-2,-2*K.1^-2,2*K.1^2,-2*K.1^-1,2*K.1^2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,2,-2,-2,2,2,-2,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(5: Sparse := true);
S := [ K |2,-2,2,-2,-2,-2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2*K.1^2,2*K.1^-2,2*K.1^-1,2*K.1,-2*K.1^-1,-2*K.1,-2*K.1^-2,-2*K.1^2,2*K.1^-1,2*K.1,2*K.1^-2,-2*K.1^-2,2*K.1^2,-2*K.1^-2,2*K.1,-2*K.1,2*K.1^2,-2*K.1^-1,2*K.1^-1,-2*K.1^-1,-2*K.1^2,-2*K.1^-1,-2*K.1,-2*K.1^-2,-2*K.1^2,2*K.1^-1,2*K.1,2*K.1^2,-2*K.1^2,2*K.1^-2,-2*K.1,2*K.1^-2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,2,-2,-2,2,2,-2,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(5: Sparse := true);
S := [ K |2,-2,2,-2,-2,-2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2*K.1^-1,2*K.1,2*K.1^-2,2*K.1^2,-2*K.1^-2,-2*K.1^2,-2*K.1,-2*K.1^-1,2*K.1^-2,2*K.1^2,2*K.1,-2*K.1,2*K.1^-1,-2*K.1,2*K.1^2,-2*K.1^2,2*K.1^-1,-2*K.1^-2,2*K.1^-2,-2*K.1^-2,-2*K.1^-1,-2*K.1^-2,-2*K.1^2,-2*K.1,-2*K.1^-1,2*K.1^-2,2*K.1^2,2*K.1^-1,-2*K.1^-1,2*K.1,-2*K.1^2,2*K.1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,2,-2,-2,2,2,-2,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(5: Sparse := true);
S := [ K |2,-2,2,-2,-2,-2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2*K.1,2*K.1^-1,2*K.1^2,2*K.1^-2,-2*K.1^2,-2*K.1^-2,-2*K.1^-1,-2*K.1,2*K.1^2,2*K.1^-2,2*K.1^-1,-2*K.1^-1,2*K.1,-2*K.1^-1,2*K.1^-2,-2*K.1^-2,2*K.1,-2*K.1^2,2*K.1^2,-2*K.1^2,-2*K.1,-2*K.1^2,-2*K.1^-2,-2*K.1^-1,-2*K.1,2*K.1^2,2*K.1^-2,2*K.1,-2*K.1,2*K.1^-1,-2*K.1^-2,2*K.1^-1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,2,-2,-2,2,2,-2,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(5: Sparse := true);
S := [ K |2,2,2,2,-2,-2,-2,-2,0,0,0,0,0,0,0,0,0,0,0,0,2*K.1^-2,2*K.1^2,2*K.1,2*K.1^-1,2*K.1,2*K.1^-1,2*K.1^2,-2*K.1^-2,-2*K.1,-2*K.1^-1,-2*K.1^2,-2*K.1^2,-2*K.1^-2,2*K.1^2,2*K.1^-1,2*K.1^-1,-2*K.1^-2,-2*K.1,-2*K.1,2*K.1,2*K.1^-2,-2*K.1,-2*K.1^-1,-2*K.1^2,2*K.1^-2,2*K.1,-2*K.1^-1,2*K.1^-2,-2*K.1^-2,-2*K.1^2,-2*K.1^-1,2*K.1^2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,-2,-2,2,2,-2,2,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(5: Sparse := true);
S := [ K |2,2,2,2,-2,-2,-2,-2,0,0,0,0,0,0,0,0,0,0,0,0,2*K.1^2,2*K.1^-2,2*K.1^-1,2*K.1,2*K.1^-1,2*K.1,2*K.1^-2,-2*K.1^2,-2*K.1^-1,-2*K.1,-2*K.1^-2,-2*K.1^-2,-2*K.1^2,2*K.1^-2,2*K.1,2*K.1,-2*K.1^2,-2*K.1^-1,-2*K.1^-1,2*K.1^-1,2*K.1^2,-2*K.1^-1,-2*K.1,-2*K.1^-2,2*K.1^2,2*K.1^-1,-2*K.1,2*K.1^2,-2*K.1^2,-2*K.1^-2,-2*K.1,2*K.1^-2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,-2,-2,2,2,-2,2,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(5: Sparse := true);
S := [ K |2,2,2,2,-2,-2,-2,-2,0,0,0,0,0,0,0,0,0,0,0,0,2*K.1^-1,2*K.1,2*K.1^-2,2*K.1^2,2*K.1^-2,2*K.1^2,2*K.1,-2*K.1^-1,-2*K.1^-2,-2*K.1^2,-2*K.1,-2*K.1,-2*K.1^-1,2*K.1,2*K.1^2,2*K.1^2,-2*K.1^-1,-2*K.1^-2,-2*K.1^-2,2*K.1^-2,2*K.1^-1,-2*K.1^-2,-2*K.1^2,-2*K.1,2*K.1^-1,2*K.1^-2,-2*K.1^2,2*K.1^-1,-2*K.1^-1,-2*K.1,-2*K.1^2,2*K.1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,-2,-2,2,2,-2,2,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(5: Sparse := true);
S := [ K |2,2,2,2,-2,-2,-2,-2,0,0,0,0,0,0,0,0,0,0,0,0,2*K.1,2*K.1^-1,2*K.1^2,2*K.1^-2,2*K.1^2,2*K.1^-2,2*K.1^-1,-2*K.1,-2*K.1^2,-2*K.1^-2,-2*K.1^-1,-2*K.1^-1,-2*K.1,2*K.1^-1,2*K.1^-2,2*K.1^-2,-2*K.1,-2*K.1^2,-2*K.1^2,2*K.1^2,2*K.1,-2*K.1^2,-2*K.1^-2,-2*K.1^-1,2*K.1,2*K.1^2,-2*K.1^-2,2*K.1,-2*K.1,-2*K.1^-1,-2*K.1^-2,2*K.1^-1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,-2,-2,2,2,-2,2,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(5: Sparse := true);
S := [ K |2,2,-2,-2,2,-2,2,-2,0,0,0,0,0,0,0,0,0,0,0,0,2*K.1^-2,2*K.1^2,2*K.1,2*K.1^-1,2*K.1,-2*K.1^-1,-2*K.1^2,2*K.1^-2,-2*K.1,2*K.1^-1,2*K.1^2,2*K.1^2,2*K.1^-2,2*K.1^2,-2*K.1^-1,2*K.1^-1,-2*K.1^-2,-2*K.1,2*K.1,-2*K.1,2*K.1^-2,2*K.1,-2*K.1^-1,-2*K.1^2,-2*K.1^-2,-2*K.1,-2*K.1^-1,-2*K.1^-2,-2*K.1^-2,-2*K.1^2,2*K.1^-1,-2*K.1^2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,2,2,-2,-2,-2,2,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(5: Sparse := true);
S := [ K |2,2,-2,-2,2,-2,2,-2,0,0,0,0,0,0,0,0,0,0,0,0,2*K.1^2,2*K.1^-2,2*K.1^-1,2*K.1,2*K.1^-1,-2*K.1,-2*K.1^-2,2*K.1^2,-2*K.1^-1,2*K.1,2*K.1^-2,2*K.1^-2,2*K.1^2,2*K.1^-2,-2*K.1,2*K.1,-2*K.1^2,-2*K.1^-1,2*K.1^-1,-2*K.1^-1,2*K.1^2,2*K.1^-1,-2*K.1,-2*K.1^-2,-2*K.1^2,-2*K.1^-1,-2*K.1,-2*K.1^2,-2*K.1^2,-2*K.1^-2,2*K.1,-2*K.1^-2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,2,2,-2,-2,-2,2,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(5: Sparse := true);
S := [ K |2,2,-2,-2,2,-2,2,-2,0,0,0,0,0,0,0,0,0,0,0,0,2*K.1^-1,2*K.1,2*K.1^-2,2*K.1^2,2*K.1^-2,-2*K.1^2,-2*K.1,2*K.1^-1,-2*K.1^-2,2*K.1^2,2*K.1,2*K.1,2*K.1^-1,2*K.1,-2*K.1^2,2*K.1^2,-2*K.1^-1,-2*K.1^-2,2*K.1^-2,-2*K.1^-2,2*K.1^-1,2*K.1^-2,-2*K.1^2,-2*K.1,-2*K.1^-1,-2*K.1^-2,-2*K.1^2,-2*K.1^-1,-2*K.1^-1,-2*K.1,2*K.1^2,-2*K.1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,2,2,-2,-2,-2,2,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(5: Sparse := true);
S := [ K |2,2,-2,-2,2,-2,2,-2,0,0,0,0,0,0,0,0,0,0,0,0,2*K.1,2*K.1^-1,2*K.1^2,2*K.1^-2,2*K.1^2,-2*K.1^-2,-2*K.1^-1,2*K.1,-2*K.1^2,2*K.1^-2,2*K.1^-1,2*K.1^-1,2*K.1,2*K.1^-1,-2*K.1^-2,2*K.1^-2,-2*K.1,-2*K.1^2,2*K.1^2,-2*K.1^2,2*K.1,2*K.1^2,-2*K.1^-2,-2*K.1^-1,-2*K.1,-2*K.1^2,-2*K.1^-2,-2*K.1,-2*K.1,-2*K.1^-1,2*K.1^-2,-2*K.1^-1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,2,2,-2,-2,-2,2,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
x := CR!\[10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[10, 10, 10, 10, 10, 10, 10, 10, -10, -10, -10, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[10, -10, -10, 10, -10, 10, 10, -10, -10, -10, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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]; 
x`IsCharacter := true;
x`Schur := -1;
x`IsIrreducible := true; 
x := CR!\[10, -10, -10, 10, -10, 10, 10, -10, 10, 10, -10, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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]; 
x`IsCharacter := true;
x`Schur := -1;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |10,-10,-10,10,10,-10,-10,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,-1,-1,1,-1,1,-1-2*K.1-2*K.1^3-2*K.1^4-2*K.1^5-2*K.1^-2,1+2*K.1+2*K.1^3+2*K.1^4+2*K.1^5+2*K.1^-2,-1-2*K.1-2*K.1^3-2*K.1^4-2*K.1^5-2*K.1^-2,-1-2*K.1-2*K.1^3-2*K.1^4-2*K.1^5-2*K.1^-2,1+2*K.1+2*K.1^3+2*K.1^4+2*K.1^5+2*K.1^-2,-1-2*K.1-2*K.1^3-2*K.1^4-2*K.1^5-2*K.1^-2,1+2*K.1+2*K.1^3+2*K.1^4+2*K.1^5+2*K.1^-2,1+2*K.1+2*K.1^3+2*K.1^4+2*K.1^5+2*K.1^-2]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |10,-10,-10,10,10,-10,-10,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,-1,-1,1,-1,1,1+2*K.1+2*K.1^3+2*K.1^4+2*K.1^5+2*K.1^-2,-1-2*K.1-2*K.1^3-2*K.1^4-2*K.1^5-2*K.1^-2,1+2*K.1+2*K.1^3+2*K.1^4+2*K.1^5+2*K.1^-2,1+2*K.1+2*K.1^3+2*K.1^4+2*K.1^5+2*K.1^-2,-1-2*K.1-2*K.1^3-2*K.1^4-2*K.1^5-2*K.1^-2,1+2*K.1+2*K.1^3+2*K.1^4+2*K.1^5+2*K.1^-2,-1-2*K.1-2*K.1^3-2*K.1^4-2*K.1^5-2*K.1^-2,-1-2*K.1-2*K.1^3-2*K.1^4-2*K.1^5-2*K.1^-2]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |10,10,10,10,-10,-10,-10,-10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,-1,-1,1,-1,-1-2*K.1-2*K.1^3-2*K.1^4-2*K.1^5-2*K.1^-2,1+2*K.1+2*K.1^3+2*K.1^4+2*K.1^5+2*K.1^-2,-1-2*K.1-2*K.1^3-2*K.1^4-2*K.1^5-2*K.1^-2,1+2*K.1+2*K.1^3+2*K.1^4+2*K.1^5+2*K.1^-2,-1-2*K.1-2*K.1^3-2*K.1^4-2*K.1^5-2*K.1^-2,1+2*K.1+2*K.1^3+2*K.1^4+2*K.1^5+2*K.1^-2,-1-2*K.1-2*K.1^3-2*K.1^4-2*K.1^5-2*K.1^-2,1+2*K.1+2*K.1^3+2*K.1^4+2*K.1^5+2*K.1^-2]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(11: Sparse := true);
S := [ K |10,10,10,10,-10,-10,-10,-10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,-1,-1,1,-1,1+2*K.1+2*K.1^3+2*K.1^4+2*K.1^5+2*K.1^-2,-1-2*K.1-2*K.1^3-2*K.1^4-2*K.1^5-2*K.1^-2,1+2*K.1+2*K.1^3+2*K.1^4+2*K.1^5+2*K.1^-2,-1-2*K.1-2*K.1^3-2*K.1^4-2*K.1^5-2*K.1^-2,1+2*K.1+2*K.1^3+2*K.1^4+2*K.1^5+2*K.1^-2,-1-2*K.1-2*K.1^3-2*K.1^4-2*K.1^5-2*K.1^-2,1+2*K.1+2*K.1^3+2*K.1^4+2*K.1^5+2*K.1^-2,-1-2*K.1-2*K.1^3-2*K.1^4-2*K.1^5-2*K.1^-2]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(44: Sparse := true);
S := [ K |10,-10,10,-10,-10,-10,10,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,1,1,-1,-1,1,-2*K.1+2*K.1^3-2*K.1^5-2*K.1^9+K.1^11+2*K.1^15,-2*K.1+2*K.1^3-2*K.1^5-2*K.1^9+K.1^11+2*K.1^15,2*K.1-2*K.1^3+2*K.1^5+2*K.1^9-K.1^11-2*K.1^15,-2*K.1+2*K.1^3-2*K.1^5-2*K.1^9+K.1^11+2*K.1^15,-2*K.1+2*K.1^3-2*K.1^5-2*K.1^9+K.1^11+2*K.1^15,2*K.1-2*K.1^3+2*K.1^5+2*K.1^9-K.1^11-2*K.1^15,2*K.1-2*K.1^3+2*K.1^5+2*K.1^9-K.1^11-2*K.1^15,2*K.1-2*K.1^3+2*K.1^5+2*K.1^9-K.1^11-2*K.1^15]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(44: Sparse := true);
S := [ K |10,-10,10,-10,-10,-10,10,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,1,1,-1,-1,1,2*K.1-2*K.1^3+2*K.1^5+2*K.1^9-K.1^11-2*K.1^15,2*K.1-2*K.1^3+2*K.1^5+2*K.1^9-K.1^11-2*K.1^15,-2*K.1+2*K.1^3-2*K.1^5-2*K.1^9+K.1^11+2*K.1^15,2*K.1-2*K.1^3+2*K.1^5+2*K.1^9-K.1^11-2*K.1^15,2*K.1-2*K.1^3+2*K.1^5+2*K.1^9-K.1^11-2*K.1^15,-2*K.1+2*K.1^3-2*K.1^5-2*K.1^9+K.1^11+2*K.1^15,-2*K.1+2*K.1^3-2*K.1^5-2*K.1^9+K.1^11+2*K.1^15,-2*K.1+2*K.1^3-2*K.1^5-2*K.1^9+K.1^11+2*K.1^15]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |10,-10,10,-10,10,10,-10,-10,-10*K.1,10*K.1,-10*K.1,10*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,-1,1,-1,1,1,K.1,-1*K.1,-1*K.1,-1*K.1,K.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 |10,-10,10,-10,10,10,-10,-10,10*K.1,-10*K.1,10*K.1,-10*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,-1,1,-1,1,1,-1*K.1,K.1,K.1,K.1,-1*K.1,-1*K.1,K.1,-1*K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |10,10,-10,-10,-10,10,-10,10,-10*K.1,10*K.1,10*K.1,-10*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,1,1,1,-1,-1,K.1,-1*K.1,-1*K.1,K.1,-1*K.1,-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 |10,10,-10,-10,-10,10,-10,10,10*K.1,-10*K.1,-10*K.1,10*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,1,1,1,-1,-1,-1*K.1,K.1,K.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(44: Sparse := true);
S := [ K |10,10,-10,-10,10,-10,10,-10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,-1,1,1,1,-1,-2*K.1+2*K.1^3-2*K.1^5-2*K.1^9+K.1^11+2*K.1^15,-2*K.1+2*K.1^3-2*K.1^5-2*K.1^9+K.1^11+2*K.1^15,2*K.1-2*K.1^3+2*K.1^5+2*K.1^9-K.1^11-2*K.1^15,2*K.1-2*K.1^3+2*K.1^5+2*K.1^9-K.1^11-2*K.1^15,2*K.1-2*K.1^3+2*K.1^5+2*K.1^9-K.1^11-2*K.1^15,-2*K.1+2*K.1^3-2*K.1^5-2*K.1^9+K.1^11+2*K.1^15,-2*K.1+2*K.1^3-2*K.1^5-2*K.1^9+K.1^11+2*K.1^15,2*K.1-2*K.1^3+2*K.1^5+2*K.1^9-K.1^11-2*K.1^15]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := -1;
x`IsIrreducible := true; 
K := CyclotomicField(44: Sparse := true);
S := [ K |10,10,-10,-10,10,-10,10,-10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,-1,1,1,1,-1,2*K.1-2*K.1^3+2*K.1^5+2*K.1^9-K.1^11-2*K.1^15,2*K.1-2*K.1^3+2*K.1^5+2*K.1^9-K.1^11-2*K.1^15,-2*K.1+2*K.1^3-2*K.1^5-2*K.1^9+K.1^11+2*K.1^15,-2*K.1+2*K.1^3-2*K.1^5-2*K.1^9+K.1^11+2*K.1^15,-2*K.1+2*K.1^3-2*K.1^5-2*K.1^9+K.1^11+2*K.1^15,2*K.1-2*K.1^3+2*K.1^5+2*K.1^9-K.1^11-2*K.1^15,2*K.1-2*K.1^3+2*K.1^5+2*K.1^9-K.1^11-2*K.1^15,-2*K.1+2*K.1^3-2*K.1^5-2*K.1^9+K.1^11+2*K.1^15]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := -1;
x`IsIrreducible := true; 
_ := CharacterTable(G : Check := 0); 
chartbl_1760_41:= KnownIrreducibles(CR);