/* Group 480.60 downloaded from the LMFDB on 01 March 2026. */
 
/* Various presentations of this group are stored in this file: 
	 GPC is polycyclic presentation GPerm is permutation group 
	 GLZ, GLFp, GLZA, GLZq, GLFq if they exist are matrix groups 
 
 Many characteristics of the group are stored as booleans in a record: 
	 Agroup, Zgroup, abelian, almost_simple,cyclic, metabelian, 
	 metacyclic, monomial, nilpotent, perfect, quasisimple, rational, 
	 solvable, supersolvable 
 
 The character table is stored as chartbl_n_i where n is the order of 
 the group and i is which group of that order it is. Conjugacy classes 
 are stored in the variable 'C' with elements from the group 'G'. 
*/
 
/* Constructions */
GPC := PCGroup([7, -2, -2, -2, -2, -2, -5, -3, 14, 36, 4259, 80, 5044, 102, 5381, 1987]); a,b,c := Explode([GPC.1, GPC.4, GPC.7]); AssignNames(~GPC, ["a", "a2", "a4", "b", "b2", "b4", "c"]);
GPerm := PermutationGroup< 20 | (2,3)(4,5)(6,7,8,10,9,11,12,13)(14,15)(16,17), (14,16,17,15)(19,20), (6,8,9,12)(7,10,11,13), (14,17)(15,16), (6,9)(7,11)(8,12)(10,13), (18,19,20), (1,2,4,5,3) >;
GLZN := MatrixGroup< 2, Integers(60) | [[1, 12, 0, 1], [31, 0, 0, 31], [19, 15, 30, 49], [51, 38, 50, 49], [1, 20, 20, 41], [16, 15, 45, 31], [41, 0, 0, 41]] >;

 
/* Booleans */
RF := recformat< Agroup, Zgroup, abelian, almost_simple, cyclic, metabelian, metacyclic, monomial, nilpotent, perfect, quasisimple, rational, solvable, supersolvable  : BoolElt >; 
booleans_480_60 := 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^10>,< 2, 1, a^4*b^10>,< 2, 1, a^4>,< 3, 2, c^2>,< 4, 1, a^6>,< 4, 1, a^2>,< 4, 1, a^6*b^10>,< 4, 1, a^2*b^10>,< 4, 6, b^5>,< 4, 6, a^4*b^5>,< 4, 6, a^2*b^5>,< 4, 6, a^6*b^15>,< 5, 2, b^4>,< 5, 2, b^8>,< 6, 2, a^4*c>,< 6, 2, b^10*c^2>,< 6, 2, a^4*b^10*c^2>,< 8, 10, a^3>,< 8, 10, a^5>,< 8, 10, a>,< 8, 10, a^7>,< 8, 30, a*b^9>,< 8, 30, a^7*b^9>,< 8, 30, a^3*b^9>,< 8, 30, a^5*b^9>,< 10, 2, b^2>,< 10, 2, b^6>,< 10, 2, a^4*b^2>,< 10, 2, a^4*b^6>,< 10, 2, a^4*b^4>,< 10, 2, a^4*b^12>,< 12, 2, a^2*c^2>,< 12, 2, a^6*c>,< 12, 2, a^2*b^10*c^2>,< 12, 2, a^6*b^10*c>,< 15, 4, b^4*c^2>,< 15, 4, b^8*c>,< 20, 2, a^6*b^12>,< 20, 2, a^2*b^8>,< 20, 2, a^2*b^16>,< 20, 2, a^6*b^4>,< 20, 2, a^6*b^6>,< 20, 2, a^2*b^14>,< 20, 2, a^2*b^18>,< 20, 2, a^6*b^2>,< 20, 6, b>,< 20, 6, b^3>,< 20, 6, b^13>,< 20, 6, b^9>,< 20, 6, a^4*b>,< 20, 6, a^4*b^3>,< 20, 6, a^4*b^13>,< 20, 6, a^4*b^9>,< 20, 6, a^2*b>,< 20, 6, a^6*b>,< 20, 6, a^6*b^3>,< 20, 6, a^2*b^3>,< 20, 6, a^6*b^13>,< 20, 6, a^2*b^13>,< 20, 6, a^2*b^9>,< 20, 6, a^6*b^9>,< 24, 10, a*c>,< 24, 10, a^7*c^2>,< 24, 10, a^5*c^2>,< 24, 10, a^3*c>,< 24, 10, a^7*c>,< 24, 10, a*c^2>,< 24, 10, a^3*c^2>,< 24, 10, a^5*c>,< 30, 4, b^2*c>,< 30, 4, b^6*c>,< 30, 4, a^4*b^2*c>,< 30, 4, a^4*b^6*c>,< 30, 4, a^4*b^8*c^2>,< 30, 4, a^4*b^16*c^2>,< 60, 4, a^2*b^4*c>,< 60, 4, a^6*b^4*c>,< 60, 4, a^6*b^8*c>,< 60, 4, a^2*b^8*c>,< 60, 4, a^2*b^2*c>,< 60, 4, a^6*b^2*c>,< 60, 4, a^6*b^6*c>,< 60, 4, a^2*b^6*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]; 
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]; 
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]; 
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]; 
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*K.1,K.1,K.1,-1*K.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,-1,1,1,K.1,-1*K.1,-1*K.1,-1*K.1,K.1,K.1,-1*K.1,K.1,1,1,1,1,1,1,-1,-1,-1,-1,-1,-1,-1,-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |1,1,1,1,1,-1,-1,-1,-1,-1,-1,1,1,1,1,1,1,1,K.1,-1*K.1,-1*K.1,K.1,-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,-1,1,1,-1*K.1,K.1,K.1,K.1,-1*K.1,-1*K.1,K.1,-1*K.1,1,1,1,1,1,1,-1,-1,-1,-1,-1,-1,-1,-1]; 
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*K.1,K.1,K.1,-1*K.1,-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,-1,-1,K.1,-1*K.1,-1*K.1,-1*K.1,K.1,K.1,-1*K.1,K.1,1,1,1,1,1,1,-1,-1,-1,-1,-1,-1,-1,-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |1,1,1,1,1,-1,-1,-1,-1,1,1,-1,-1,1,1,1,1,1,K.1,-1*K.1,-1*K.1,K.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,-1,1,-1,-1,-1*K.1,K.1,K.1,K.1,-1*K.1,-1*K.1,K.1,-1*K.1,1,1,1,1,1,1,-1,-1,-1,-1,-1,-1,-1,-1]; 
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*K.1^2,-1*K.1^2,K.1^2,K.1^2,-1,1,K.1^2,-1*K.1^2,1,1,-1,1,-1,-1*K.1,K.1^3,-1*K.1^3,K.1,K.1,-1*K.1^3,K.1^3,-1*K.1,-1,-1,1,-1,-1,1,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,1,1,K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,K.1^2,-1*K.1^2,K.1^2,1,K.1^2,-1,1,-1*K.1^2,K.1^2,-1,-1,1,-1*K.1^2,1,-1*K.1^2,-1*K.1^2,-1,K.1^2,K.1^2,-1*K.1^3,K.1,-1*K.1,K.1,-1*K.1^3,K.1^3,-1*K.1,K.1^3,-1,-1,-1,1,1,-1,-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]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |1,1,-1,-1,1,K.1^2,K.1^2,-1*K.1^2,-1*K.1^2,-1,1,-1*K.1^2,K.1^2,1,1,-1,1,-1,K.1^3,-1*K.1,K.1,-1*K.1^3,-1*K.1^3,K.1,-1*K.1,K.1^3,-1,-1,1,-1,-1,1,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,1,1,-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.1^2,1,-1*K.1^2,-1,1,K.1^2,-1*K.1^2,-1,-1,1,K.1^2,1,K.1^2,K.1^2,-1,-1*K.1^2,-1*K.1^2,K.1,-1*K.1^3,K.1^3,-1*K.1^3,K.1,-1*K.1,K.1^3,-1*K.1,-1,-1,-1,1,1,-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,-1*K.1^2]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |1,1,-1,-1,1,-1*K.1^2,-1*K.1^2,K.1^2,K.1^2,-1,1,K.1^2,-1*K.1^2,1,1,-1,1,-1,K.1,-1*K.1^3,K.1^3,-1*K.1,-1*K.1,K.1^3,-1*K.1^3,K.1,-1,-1,1,-1,-1,1,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,1,1,K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,K.1^2,-1*K.1^2,K.1^2,1,K.1^2,-1,1,-1*K.1^2,K.1^2,-1,-1,1,-1*K.1^2,1,-1*K.1^2,-1*K.1^2,-1,K.1^2,K.1^2,K.1^3,-1*K.1,K.1,-1*K.1,K.1^3,-1*K.1^3,K.1,-1*K.1^3,-1,-1,-1,1,1,-1,-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]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |1,1,-1,-1,1,K.1^2,K.1^2,-1*K.1^2,-1*K.1^2,-1,1,-1*K.1^2,K.1^2,1,1,-1,1,-1,-1*K.1^3,K.1,-1*K.1,K.1^3,K.1^3,-1*K.1,K.1,-1*K.1^3,-1,-1,1,-1,-1,1,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,1,1,-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.1^2,1,-1*K.1^2,-1,1,K.1^2,-1*K.1^2,-1,-1,1,K.1^2,1,K.1^2,K.1^2,-1,-1*K.1^2,-1*K.1^2,-1*K.1,K.1^3,-1*K.1^3,K.1^3,-1*K.1,K.1,-1*K.1^3,K.1,-1,-1,-1,1,1,-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,-1*K.1^2]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |1,1,-1,-1,1,-1*K.1^2,-1*K.1^2,K.1^2,K.1^2,1,-1,-1*K.1^2,K.1^2,1,1,-1,1,-1,-1*K.1,K.1^3,-1*K.1^3,K.1,-1*K.1,K.1^3,-1*K.1^3,K.1,-1,-1,1,-1,-1,1,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,1,1,K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,K.1^2,-1*K.1^2,K.1^2,-1,-1*K.1^2,1,-1,K.1^2,-1*K.1^2,1,1,-1,K.1^2,-1,K.1^2,K.1^2,1,-1*K.1^2,-1*K.1^2,-1*K.1^3,K.1,-1*K.1,K.1,-1*K.1^3,K.1^3,-1*K.1,K.1^3,-1,-1,-1,1,1,-1,-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]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |1,1,-1,-1,1,K.1^2,K.1^2,-1*K.1^2,-1*K.1^2,1,-1,K.1^2,-1*K.1^2,1,1,-1,1,-1,K.1^3,-1*K.1,K.1,-1*K.1^3,K.1^3,-1*K.1,K.1,-1*K.1^3,-1,-1,1,-1,-1,1,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,1,1,-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,-1,K.1^2,1,-1,-1*K.1^2,K.1^2,1,1,-1,-1*K.1^2,-1,-1*K.1^2,-1*K.1^2,1,K.1^2,K.1^2,K.1,-1*K.1^3,K.1^3,-1*K.1^3,K.1,-1*K.1,K.1^3,-1*K.1,-1,-1,-1,1,1,-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,-1*K.1^2]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |1,1,-1,-1,1,-1*K.1^2,-1*K.1^2,K.1^2,K.1^2,1,-1,-1*K.1^2,K.1^2,1,1,-1,1,-1,K.1,-1*K.1^3,K.1^3,-1*K.1,K.1,-1*K.1^3,K.1^3,-1*K.1,-1,-1,1,-1,-1,1,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,1,1,K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,K.1^2,-1*K.1^2,K.1^2,-1,-1*K.1^2,1,-1,K.1^2,-1*K.1^2,1,1,-1,K.1^2,-1,K.1^2,K.1^2,1,-1*K.1^2,-1*K.1^2,K.1^3,-1*K.1,K.1,-1*K.1,K.1^3,-1*K.1^3,K.1,-1*K.1^3,-1,-1,-1,1,1,-1,-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]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |1,1,-1,-1,1,K.1^2,K.1^2,-1*K.1^2,-1*K.1^2,1,-1,K.1^2,-1*K.1^2,1,1,-1,1,-1,-1*K.1^3,K.1,-1*K.1,K.1^3,-1*K.1^3,K.1,-1*K.1,K.1^3,-1,-1,1,-1,-1,1,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,1,1,-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,-1,K.1^2,1,-1,-1*K.1^2,K.1^2,1,1,-1,-1*K.1^2,-1,-1*K.1^2,-1*K.1^2,1,K.1^2,K.1^2,-1*K.1,K.1^3,-1*K.1^3,K.1^3,-1*K.1,K.1,-1*K.1^3,K.1,-1,-1,-1,1,1,-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,-1*K.1^2]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
x := CR!\[2, 2, 2, 2, -1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, -1, -1, -1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[2, -2, -2, 2, 2, -2, 2, 2, -2, 0, 0, 0, 0, 2, 2, 2, -2, -2, 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, 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, -2, 2, 2, -2, 2, -2, 2]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[2, 2, 2, 2, -1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, -1, -1, -1, -2, -2, -2, -2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[2, -2, -2, 2, 2, 2, -2, -2, 2, 0, 0, 0, 0, 2, 2, 2, -2, -2, 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, 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, 2, -2, -2, 2, -2, 2, -2]; 
x`IsCharacter := true;
x`Schur := -1;
x`IsIrreducible := true; 
K := CyclotomicField(5: Sparse := true);
S := [ K |2,2,2,2,2,2,2,2,2,2,2,2,2,K.1^2+K.1^-2,K.1+K.1^-1,2,2,2,0,0,0,0,0,0,0,0,K.1^2+K.1^-2,K.1^2+K.1^-2,K.1+K.1^-1,K.1+K.1^-1,K.1+K.1^-1,K.1^2+K.1^-2,2,2,2,2,K.1^2+K.1^-2,K.1+K.1^-1,K.1+K.1^-1,K.1+K.1^-1,K.1+K.1^-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,K.1+K.1^-1,K.1+K.1^-1,K.1+K.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.1^2+K.1^-2,K.1^2+K.1^-2,K.1+K.1^-1,K.1^2+K.1^-2,K.1+K.1^-1,K.1^2+K.1^-2,K.1+K.1^-1,0,0,0,0,0,0,0,0,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+K.1^-1,K.1+K.1^-1,K.1+K.1^-1,K.1+K.1^-1,K.1+K.1^-1,K.1+K.1^-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]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(5: Sparse := true);
S := [ K |2,2,2,2,2,2,2,2,2,2,2,2,2,K.1+K.1^-1,K.1^2+K.1^-2,2,2,2,0,0,0,0,0,0,0,0,K.1+K.1^-1,K.1+K.1^-1,K.1^2+K.1^-2,K.1^2+K.1^-2,K.1^2+K.1^-2,K.1+K.1^-1,2,2,2,2,K.1+K.1^-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,K.1+K.1^-1,K.1+K.1^-1,K.1+K.1^-1,K.1+K.1^-1,K.1^2+K.1^-2,K.1^2+K.1^-2,K.1^2+K.1^-2,K.1+K.1^-1,K.1^2+K.1^-2,K.1^2+K.1^-2,K.1+K.1^-1,K.1^2+K.1^-2,K.1+K.1^-1,K.1+K.1^-1,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+K.1^-1,K.1^2+K.1^-2,0,0,0,0,0,0,0,0,K.1+K.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.1^2+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+K.1^-1,K.1+K.1^-1,K.1+K.1^-1,K.1+K.1^-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |2,-2,2,-2,2,-2*K.1,2*K.1,-2*K.1,2*K.1,0,0,0,0,2,2,-2,-2,2,0,0,0,0,0,0,0,0,-2,2,-2,-2,2,-2,2*K.1,-2*K.1,-2*K.1,2*K.1,2,2,-2*K.1,2*K.1,-2*K.1,-2*K.1,2*K.1,-2*K.1,2*K.1,2*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,-2,2,2,-2,-2,-2,-2*K.1,2*K.1,-2*K.1,2*K.1,-2*K.1,2*K.1,2*K.1,-2*K.1]; 
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*K.1,-2*K.1,2*K.1,-2*K.1,0,0,0,0,2,2,-2,-2,2,0,0,0,0,0,0,0,0,-2,2,-2,-2,2,-2,-2*K.1,2*K.1,2*K.1,-2*K.1,2,2,2*K.1,-2*K.1,2*K.1,2*K.1,-2*K.1,2*K.1,-2*K.1,-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,-2,2,2,-2,-2,-2,2*K.1,-2*K.1,2*K.1,-2*K.1,2*K.1,-2*K.1,-2*K.1,2*K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(5: Sparse := true);
S := [ K |2,2,2,2,2,2,2,2,2,-2,-2,-2,-2,K.1^2+K.1^-2,K.1+K.1^-1,2,2,2,0,0,0,0,0,0,0,0,K.1^2+K.1^-2,K.1^2+K.1^-2,K.1+K.1^-1,K.1+K.1^-1,K.1+K.1^-1,K.1^2+K.1^-2,2,2,2,2,K.1^2+K.1^-2,K.1+K.1^-1,K.1+K.1^-1,K.1+K.1^-1,K.1+K.1^-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,K.1+K.1^-1,-1*K.1-K.1^-1,-1*K.1-K.1^-1,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,-1*K.1-K.1^-1,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,0,0,0,0,0,0,0,0,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+K.1^-1,K.1+K.1^-1,K.1+K.1^-1,K.1+K.1^-1,K.1+K.1^-1,K.1+K.1^-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]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(5: Sparse := true);
S := [ K |2,2,2,2,2,2,2,2,2,-2,-2,-2,-2,K.1+K.1^-1,K.1^2+K.1^-2,2,2,2,0,0,0,0,0,0,0,0,K.1+K.1^-1,K.1+K.1^-1,K.1^2+K.1^-2,K.1^2+K.1^-2,K.1^2+K.1^-2,K.1+K.1^-1,2,2,2,2,K.1+K.1^-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,K.1+K.1^-1,K.1+K.1^-1,K.1+K.1^-1,K.1+K.1^-1,K.1^2+K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,-1*K.1-K.1^-1,-1*K.1-K.1^-1,-1*K.1-K.1^-1,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,-1*K.1^2-K.1^-2,0,0,0,0,0,0,0,0,K.1+K.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.1^2+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+K.1^-1,K.1+K.1^-1,K.1+K.1^-1,K.1+K.1^-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |2,2,2,2,-1,-2,-2,-2,-2,0,0,0,0,2,2,-1,-1,-1,-2*K.1,2*K.1,2*K.1,-2*K.1,0,0,0,0,2,2,2,2,2,2,1,1,1,1,-1,-1,-2,-2,-2,-2,-2,-2,-2,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1*K.1,K.1,K.1,K.1,-1*K.1,-1*K.1,K.1,-1*K.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 |2,2,2,2,-1,-2,-2,-2,-2,0,0,0,0,2,2,-1,-1,-1,2*K.1,-2*K.1,-2*K.1,2*K.1,0,0,0,0,2,2,2,2,2,2,1,1,1,1,-1,-1,-2,-2,-2,-2,-2,-2,-2,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,K.1,-1*K.1,-1*K.1,-1*K.1,K.1,K.1,-1*K.1,K.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(3: Sparse := true);
S := [ K |2,-2,-2,2,-1,-2,2,2,-2,0,0,0,0,2,2,-1,1,1,0,0,0,0,0,0,0,0,2,-2,-2,2,-2,-2,1,1,-1,-1,-1,-1,2,2,-2,-2,-2,2,2,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1-2*K.1,1+2*K.1,-1-2*K.1,-1-2*K.1,1+2*K.1,-1-2*K.1,1+2*K.1,1+2*K.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(3: Sparse := true);
S := [ K |2,-2,-2,2,-1,-2,2,2,-2,0,0,0,0,2,2,-1,1,1,0,0,0,0,0,0,0,0,2,-2,-2,2,-2,-2,1,1,-1,-1,-1,-1,2,2,-2,-2,-2,2,2,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1+2*K.1,-1-2*K.1,1+2*K.1,1+2*K.1,-1-2*K.1,1+2*K.1,-1-2*K.1,-1-2*K.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 |2,2,2,2,2,-2,-2,-2,-2,-2,-2,2,2,K.1^2+K.1^-2,K.1+K.1^-1,2,2,2,0,0,0,0,0,0,0,0,K.1^2+K.1^-2,K.1^2+K.1^-2,K.1+K.1^-1,K.1+K.1^-1,K.1+K.1^-1,K.1^2+K.1^-2,-2,-2,-2,-2,K.1^2+K.1^-2,K.1+K.1^-1,-1*K.1-K.1^-1,-1*K.1-K.1^-1,-1*K.1-K.1^-1,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,-1*K.1-K.1^-1,K.1+K.1^-1,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,K.1+K.1^-1,K.1^2+K.1^-2,-1*K.1-K.1^-1,-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,K.1+K.1^-1,K.1^2+K.1^-2,-1*K.1-K.1^-1,K.1^2+K.1^-2,K.1+K.1^-1,0,0,0,0,0,0,0,0,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+K.1^-1,K.1+K.1^-1,-1*K.1-K.1^-1,-1*K.1-K.1^-1,-1*K.1-K.1^-1,-1*K.1-K.1^-1,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := -1;
x`IsIrreducible := true; 
K := CyclotomicField(5: Sparse := true);
S := [ K |2,2,2,2,2,-2,-2,-2,-2,-2,-2,2,2,K.1+K.1^-1,K.1^2+K.1^-2,2,2,2,0,0,0,0,0,0,0,0,K.1+K.1^-1,K.1+K.1^-1,K.1^2+K.1^-2,K.1^2+K.1^-2,K.1^2+K.1^-2,K.1+K.1^-1,-2,-2,-2,-2,K.1+K.1^-1,K.1^2+K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,-1*K.1-K.1^-1,-1*K.1-K.1^-1,-1*K.1-K.1^-1,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,K.1^2+K.1^-2,-1*K.1-K.1^-1,-1*K.1^2-K.1^-2,K.1^2+K.1^-2,K.1+K.1^-1,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,-1*K.1-K.1^-1,K.1+K.1^-1,-1*K.1-K.1^-1,K.1^2+K.1^-2,K.1+K.1^-1,-1*K.1^2-K.1^-2,K.1+K.1^-1,K.1^2+K.1^-2,0,0,0,0,0,0,0,0,K.1+K.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.1^2+K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,-1*K.1-K.1^-1,-1*K.1-K.1^-1,-1*K.1-K.1^-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := -1;
x`IsIrreducible := true; 
K := CyclotomicField(5: Sparse := true);
S := [ K |2,2,2,2,2,-2,-2,-2,-2,2,2,-2,-2,K.1^2+K.1^-2,K.1+K.1^-1,2,2,2,0,0,0,0,0,0,0,0,K.1^2+K.1^-2,K.1^2+K.1^-2,K.1+K.1^-1,K.1+K.1^-1,K.1+K.1^-1,K.1^2+K.1^-2,-2,-2,-2,-2,K.1^2+K.1^-2,K.1+K.1^-1,-1*K.1-K.1^-1,-1*K.1-K.1^-1,-1*K.1-K.1^-1,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,K.1+K.1^-1,-1*K.1-K.1^-1,K.1^2+K.1^-2,K.1+K.1^-1,-1*K.1-K.1^-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,-1*K.1^2-K.1^-2,K.1^2+K.1^-2,-1*K.1-K.1^-1,-1*K.1^2-K.1^-2,K.1+K.1^-1,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,0,0,0,0,0,0,0,0,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+K.1^-1,K.1+K.1^-1,-1*K.1-K.1^-1,-1*K.1-K.1^-1,-1*K.1-K.1^-1,-1*K.1-K.1^-1,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := -1;
x`IsIrreducible := true; 
K := CyclotomicField(5: Sparse := true);
S := [ K |2,2,2,2,2,-2,-2,-2,-2,2,2,-2,-2,K.1+K.1^-1,K.1^2+K.1^-2,2,2,2,0,0,0,0,0,0,0,0,K.1+K.1^-1,K.1+K.1^-1,K.1^2+K.1^-2,K.1^2+K.1^-2,K.1^2+K.1^-2,K.1+K.1^-1,-2,-2,-2,-2,K.1+K.1^-1,K.1^2+K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,-1*K.1-K.1^-1,-1*K.1-K.1^-1,-1*K.1-K.1^-1,-1*K.1^2-K.1^-2,K.1^2+K.1^-2,-1*K.1^2-K.1^-2,K.1+K.1^-1,K.1^2+K.1^-2,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,K.1^2+K.1^-2,K.1+K.1^-1,K.1+K.1^-1,-1*K.1-K.1^-1,K.1+K.1^-1,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,K.1^2+K.1^-2,-1*K.1-K.1^-1,-1*K.1^2-K.1^-2,0,0,0,0,0,0,0,0,K.1+K.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.1^2+K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,-1*K.1-K.1^-1,-1*K.1-K.1^-1,-1*K.1-K.1^-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := -1;
x`IsIrreducible := true; 
K := CyclotomicField(12: Sparse := true);
S := [ K |2,-2,-2,2,-1,2,-2,-2,2,0,0,0,0,2,2,-1,1,1,0,0,0,0,0,0,0,0,2,-2,-2,2,-2,-2,-1,-1,1,1,-1,-1,-2,-2,2,2,2,-2,-2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1*K.1-K.1^-1,-1*K.1-K.1^-1,K.1+K.1^-1,K.1+K.1^-1,K.1+K.1^-1,-1*K.1-K.1^-1,-1*K.1-K.1^-1,K.1+K.1^-1,-1,1,1,1,1,-1,-1,-1,1,1,-1,1,-1,1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := -1;
x`IsIrreducible := true; 
K := CyclotomicField(12: Sparse := true);
S := [ K |2,-2,-2,2,-1,2,-2,-2,2,0,0,0,0,2,2,-1,1,1,0,0,0,0,0,0,0,0,2,-2,-2,2,-2,-2,-1,-1,1,1,-1,-1,-2,-2,2,2,2,-2,-2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,K.1+K.1^-1,K.1+K.1^-1,-1*K.1-K.1^-1,-1*K.1-K.1^-1,-1*K.1-K.1^-1,K.1+K.1^-1,K.1+K.1^-1,-1*K.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 := -1;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |2,-2,-2,2,2,-2,2,2,-2,0,0,0,0,-1*K.1^2-K.1^-2,K.1^4+K.1^-4,2,-2,-2,0,0,0,0,0,0,0,0,-1*K.1^2-K.1^-2,K.1^2+K.1^-2,-1*K.1^4-K.1^-4,K.1^4+K.1^-4,-1*K.1^4-K.1^-4,K.1^2+K.1^-2,-2,-2,2,2,-1*K.1^2-K.1^-2,K.1^4+K.1^-4,K.1^4+K.1^-4,K.1^4+K.1^-4,-1*K.1^4-K.1^-4,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,-1*K.1^4-K.1^-4,-1*K.1-K.1^-1,-1*K.1-K.1^-1,-1*K.1^3-K.1^-3,K.1+K.1^-1,-1*K.1-K.1^-1,K.1^3+K.1^-3,K.1+K.1^-1,K.1^3+K.1^-3,K.1^3+K.1^-3,-1*K.1^3-K.1^-3,-1*K.1^3-K.1^-3,K.1+K.1^-1,K.1^3+K.1^-3,-1*K.1-K.1^-1,-1*K.1^3-K.1^-3,K.1+K.1^-1,0,0,0,0,0,0,0,0,-1*K.1^2-K.1^-2,-1*K.1^4-K.1^-4,K.1^2+K.1^-2,K.1^2+K.1^-2,-1*K.1^4-K.1^-4,K.1^4+K.1^-4,-1*K.1^4-K.1^-4,-1*K.1^4-K.1^-4,K.1^4+K.1^-4,K.1^4+K.1^-4,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]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |2,-2,-2,2,2,-2,2,2,-2,0,0,0,0,-1*K.1^2-K.1^-2,K.1^4+K.1^-4,2,-2,-2,0,0,0,0,0,0,0,0,-1*K.1^2-K.1^-2,K.1^2+K.1^-2,-1*K.1^4-K.1^-4,K.1^4+K.1^-4,-1*K.1^4-K.1^-4,K.1^2+K.1^-2,-2,-2,2,2,-1*K.1^2-K.1^-2,K.1^4+K.1^-4,K.1^4+K.1^-4,K.1^4+K.1^-4,-1*K.1^4-K.1^-4,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,-1*K.1^4-K.1^-4,K.1+K.1^-1,K.1+K.1^-1,K.1^3+K.1^-3,-1*K.1-K.1^-1,K.1+K.1^-1,-1*K.1^3-K.1^-3,-1*K.1-K.1^-1,-1*K.1^3-K.1^-3,-1*K.1^3-K.1^-3,K.1^3+K.1^-3,K.1^3+K.1^-3,-1*K.1-K.1^-1,-1*K.1^3-K.1^-3,K.1+K.1^-1,K.1^3+K.1^-3,-1*K.1-K.1^-1,0,0,0,0,0,0,0,0,-1*K.1^2-K.1^-2,-1*K.1^4-K.1^-4,K.1^2+K.1^-2,K.1^2+K.1^-2,-1*K.1^4-K.1^-4,K.1^4+K.1^-4,-1*K.1^4-K.1^-4,-1*K.1^4-K.1^-4,K.1^4+K.1^-4,K.1^4+K.1^-4,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]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |2,-2,-2,2,2,-2,2,2,-2,0,0,0,0,K.1^4+K.1^-4,-1*K.1^2-K.1^-2,2,-2,-2,0,0,0,0,0,0,0,0,K.1^4+K.1^-4,-1*K.1^4-K.1^-4,K.1^2+K.1^-2,-1*K.1^2-K.1^-2,K.1^2+K.1^-2,-1*K.1^4-K.1^-4,-2,-2,2,2,K.1^4+K.1^-4,-1*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.1^4-K.1^-4,-1*K.1^4-K.1^-4,K.1^4+K.1^-4,K.1^4+K.1^-4,K.1^2+K.1^-2,-1*K.1^3-K.1^-3,-1*K.1^3-K.1^-3,K.1+K.1^-1,K.1^3+K.1^-3,-1*K.1^3-K.1^-3,-1*K.1-K.1^-1,K.1^3+K.1^-3,-1*K.1-K.1^-1,-1*K.1-K.1^-1,K.1+K.1^-1,K.1+K.1^-1,K.1^3+K.1^-3,-1*K.1-K.1^-1,-1*K.1^3-K.1^-3,K.1+K.1^-1,K.1^3+K.1^-3,0,0,0,0,0,0,0,0,K.1^4+K.1^-4,K.1^2+K.1^-2,-1*K.1^4-K.1^-4,-1*K.1^4-K.1^-4,K.1^2+K.1^-2,-1*K.1^2-K.1^-2,K.1^2+K.1^-2,K.1^2+K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^4-K.1^-4,K.1^4+K.1^-4,-1*K.1^4-K.1^-4,K.1^4+K.1^-4]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |2,-2,-2,2,2,-2,2,2,-2,0,0,0,0,K.1^4+K.1^-4,-1*K.1^2-K.1^-2,2,-2,-2,0,0,0,0,0,0,0,0,K.1^4+K.1^-4,-1*K.1^4-K.1^-4,K.1^2+K.1^-2,-1*K.1^2-K.1^-2,K.1^2+K.1^-2,-1*K.1^4-K.1^-4,-2,-2,2,2,K.1^4+K.1^-4,-1*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.1^4-K.1^-4,-1*K.1^4-K.1^-4,K.1^4+K.1^-4,K.1^4+K.1^-4,K.1^2+K.1^-2,K.1^3+K.1^-3,K.1^3+K.1^-3,-1*K.1-K.1^-1,-1*K.1^3-K.1^-3,K.1^3+K.1^-3,K.1+K.1^-1,-1*K.1^3-K.1^-3,K.1+K.1^-1,K.1+K.1^-1,-1*K.1-K.1^-1,-1*K.1-K.1^-1,-1*K.1^3-K.1^-3,K.1+K.1^-1,K.1^3+K.1^-3,-1*K.1-K.1^-1,-1*K.1^3-K.1^-3,0,0,0,0,0,0,0,0,K.1^4+K.1^-4,K.1^2+K.1^-2,-1*K.1^4-K.1^-4,-1*K.1^4-K.1^-4,K.1^2+K.1^-2,-1*K.1^2-K.1^-2,K.1^2+K.1^-2,K.1^2+K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^4-K.1^-4,K.1^4+K.1^-4,-1*K.1^4-K.1^-4,K.1^4+K.1^-4]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(24: Sparse := true);
S := [ K |2,-2,2,-2,-1,-2*K.1^6,2*K.1^6,-2*K.1^6,2*K.1^6,0,0,0,0,2,2,1,1,-1,0,0,0,0,0,0,0,0,-2,2,-2,-2,2,-2,-1*K.1^6,K.1^6,K.1^6,-1*K.1^6,-1,-1,-2*K.1^6,2*K.1^6,-2*K.1^6,-2*K.1^6,2*K.1^6,-2*K.1^6,2*K.1^6,2*K.1^6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1*K.1^3+2*K.1^7,-1*K.1-K.1^5,-1*K.1-K.1^5,K.1+K.1^5,K.1^3-2*K.1^7,K.1^3-2*K.1^7,K.1+K.1^5,-1*K.1^3+2*K.1^7,1,-1,-1,1,1,1,K.1^6,-1*K.1^6,K.1^6,-1*K.1^6,K.1^6,-1*K.1^6,-1*K.1^6,K.1^6]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(24: Sparse := true);
S := [ K |2,-2,2,-2,-1,2*K.1^6,-2*K.1^6,2*K.1^6,-2*K.1^6,0,0,0,0,2,2,1,1,-1,0,0,0,0,0,0,0,0,-2,2,-2,-2,2,-2,K.1^6,-1*K.1^6,-1*K.1^6,K.1^6,-1,-1,2*K.1^6,-2*K.1^6,2*K.1^6,2*K.1^6,-2*K.1^6,2*K.1^6,-2*K.1^6,-2*K.1^6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1*K.1-K.1^5,-1*K.1^3+2*K.1^7,-1*K.1^3+2*K.1^7,K.1^3-2*K.1^7,K.1+K.1^5,K.1+K.1^5,K.1^3-2*K.1^7,-1*K.1-K.1^5,1,-1,-1,1,1,1,-1*K.1^6,K.1^6,-1*K.1^6,K.1^6,-1*K.1^6,K.1^6,K.1^6,-1*K.1^6]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(24: Sparse := true);
S := [ K |2,-2,2,-2,-1,-2*K.1^6,2*K.1^6,-2*K.1^6,2*K.1^6,0,0,0,0,2,2,1,1,-1,0,0,0,0,0,0,0,0,-2,2,-2,-2,2,-2,-1*K.1^6,K.1^6,K.1^6,-1*K.1^6,-1,-1,-2*K.1^6,2*K.1^6,-2*K.1^6,-2*K.1^6,2*K.1^6,-2*K.1^6,2*K.1^6,2*K.1^6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,K.1^3-2*K.1^7,K.1+K.1^5,K.1+K.1^5,-1*K.1-K.1^5,-1*K.1^3+2*K.1^7,-1*K.1^3+2*K.1^7,-1*K.1-K.1^5,K.1^3-2*K.1^7,1,-1,-1,1,1,1,K.1^6,-1*K.1^6,K.1^6,-1*K.1^6,K.1^6,-1*K.1^6,-1*K.1^6,K.1^6]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(24: Sparse := true);
S := [ K |2,-2,2,-2,-1,2*K.1^6,-2*K.1^6,2*K.1^6,-2*K.1^6,0,0,0,0,2,2,1,1,-1,0,0,0,0,0,0,0,0,-2,2,-2,-2,2,-2,K.1^6,-1*K.1^6,-1*K.1^6,K.1^6,-1,-1,2*K.1^6,-2*K.1^6,2*K.1^6,2*K.1^6,-2*K.1^6,2*K.1^6,-2*K.1^6,-2*K.1^6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,K.1+K.1^5,K.1^3-2*K.1^7,K.1^3-2*K.1^7,-1*K.1^3+2*K.1^7,-1*K.1-K.1^5,-1*K.1-K.1^5,-1*K.1^3+2*K.1^7,K.1+K.1^5,1,-1,-1,1,1,1,-1*K.1^6,K.1^6,-1*K.1^6,K.1^6,-1*K.1^6,K.1^6,K.1^6,-1*K.1^6]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |2,2,-2,-2,-1,-2*K.1^2,-2*K.1^2,2*K.1^2,2*K.1^2,0,0,0,0,2,2,1,-1,1,-2*K.1,2*K.1^3,-2*K.1^3,2*K.1,0,0,0,0,-2,-2,2,-2,-2,2,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,-1,-1,2*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.1^2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,K.1^3,-1*K.1,K.1,-1*K.1,K.1^3,-1*K.1^3,K.1,-1*K.1^3,1,1,1,-1,-1,1,K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,K.1^2,K.1^2,-1*K.1^2,-1*K.1^2]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |2,2,-2,-2,-1,2*K.1^2,2*K.1^2,-2*K.1^2,-2*K.1^2,0,0,0,0,2,2,1,-1,1,2*K.1^3,-2*K.1,2*K.1,-2*K.1^3,0,0,0,0,-2,-2,2,-2,-2,2,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,-1,-1,-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.1^2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1*K.1,K.1^3,-1*K.1^3,K.1^3,-1*K.1,K.1,-1*K.1^3,K.1,1,1,1,-1,-1,1,-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]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |2,2,-2,-2,-1,-2*K.1^2,-2*K.1^2,2*K.1^2,2*K.1^2,0,0,0,0,2,2,1,-1,1,2*K.1,-2*K.1^3,2*K.1^3,-2*K.1,0,0,0,0,-2,-2,2,-2,-2,2,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,-1,-1,2*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.1^2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1*K.1^3,K.1,-1*K.1,K.1,-1*K.1^3,K.1^3,-1*K.1,K.1^3,1,1,1,-1,-1,1,K.1^2,-1*K.1^2,-1*K.1^2,K.1^2,K.1^2,K.1^2,-1*K.1^2,-1*K.1^2]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(8: Sparse := true);
S := [ K |2,2,-2,-2,-1,2*K.1^2,2*K.1^2,-2*K.1^2,-2*K.1^2,0,0,0,0,2,2,1,-1,1,-2*K.1^3,2*K.1,-2*K.1,2*K.1^3,0,0,0,0,-2,-2,2,-2,-2,2,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,-1,-1,-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.1^2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,K.1,-1*K.1^3,K.1^3,-1*K.1^3,K.1,-1*K.1,K.1^3,-1*K.1,1,1,1,-1,-1,1,-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]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |2,2,-2,-2,2,-2*K.1^5,-2*K.1^5,2*K.1^5,2*K.1^5,-2,2,2*K.1^5,-2*K.1^5,-1*K.1^2-K.1^-2,K.1^4+K.1^-4,-2,2,-2,0,0,0,0,0,0,0,0,K.1^2+K.1^-2,K.1^2+K.1^-2,K.1^4+K.1^-4,-1*K.1^4-K.1^-4,-1*K.1^4-K.1^-4,-1*K.1^2-K.1^-2,2*K.1^5,-2*K.1^5,2*K.1^5,-2*K.1^5,-1*K.1^2-K.1^-2,K.1^4+K.1^-4,K.1^3-K.1^5+K.1^7,-1*K.1^3+K.1^5-K.1^7,-1*K.1^3+K.1^5-K.1^7,K.1^3+K.1^7,-1*K.1^3-K.1^7,-1*K.1^3-K.1^7,K.1^3+K.1^7,K.1^3-K.1^5+K.1^7,K.1^4+K.1^-4,K.1^3-K.1^5+K.1^7,K.1^2+K.1^-2,K.1^4+K.1^-4,-1*K.1^3+K.1^5-K.1^7,-1*K.1^3-K.1^7,-1*K.1^4-K.1^-4,K.1^2+K.1^-2,-1*K.1^2-K.1^-2,K.1^3+K.1^7,-1*K.1^2-K.1^-2,-1*K.1^3+K.1^5-K.1^7,K.1^3+K.1^7,-1*K.1^4-K.1^-4,-1*K.1^3-K.1^7,K.1^3-K.1^5+K.1^7,0,0,0,0,0,0,0,0,K.1^2+K.1^-2,-1*K.1^4-K.1^-4,K.1^2+K.1^-2,-1*K.1^2-K.1^-2,K.1^4+K.1^-4,-1*K.1^4-K.1^-4,-1*K.1^3+K.1^5-K.1^7,K.1^3-K.1^5+K.1^7,K.1^3-K.1^5+K.1^7,-1*K.1^3+K.1^5-K.1^7,K.1^3+K.1^7,K.1^3+K.1^7,-1*K.1^3-K.1^7,-1*K.1^3-K.1^7]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |2,2,-2,-2,2,2*K.1^5,2*K.1^5,-2*K.1^5,-2*K.1^5,-2,2,-2*K.1^5,2*K.1^5,-1*K.1^2-K.1^-2,K.1^4+K.1^-4,-2,2,-2,0,0,0,0,0,0,0,0,K.1^2+K.1^-2,K.1^2+K.1^-2,K.1^4+K.1^-4,-1*K.1^4-K.1^-4,-1*K.1^4-K.1^-4,-1*K.1^2-K.1^-2,-2*K.1^5,2*K.1^5,-2*K.1^5,2*K.1^5,-1*K.1^2-K.1^-2,K.1^4+K.1^-4,-1*K.1^3+K.1^5-K.1^7,K.1^3-K.1^5+K.1^7,K.1^3-K.1^5+K.1^7,-1*K.1^3-K.1^7,K.1^3+K.1^7,K.1^3+K.1^7,-1*K.1^3-K.1^7,-1*K.1^3+K.1^5-K.1^7,K.1^4+K.1^-4,-1*K.1^3+K.1^5-K.1^7,K.1^2+K.1^-2,K.1^4+K.1^-4,K.1^3-K.1^5+K.1^7,K.1^3+K.1^7,-1*K.1^4-K.1^-4,K.1^2+K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^3-K.1^7,-1*K.1^2-K.1^-2,K.1^3-K.1^5+K.1^7,-1*K.1^3-K.1^7,-1*K.1^4-K.1^-4,K.1^3+K.1^7,-1*K.1^3+K.1^5-K.1^7,0,0,0,0,0,0,0,0,K.1^2+K.1^-2,-1*K.1^4-K.1^-4,K.1^2+K.1^-2,-1*K.1^2-K.1^-2,K.1^4+K.1^-4,-1*K.1^4-K.1^-4,K.1^3-K.1^5+K.1^7,-1*K.1^3+K.1^5-K.1^7,-1*K.1^3+K.1^5-K.1^7,K.1^3-K.1^5+K.1^7,-1*K.1^3-K.1^7,-1*K.1^3-K.1^7,K.1^3+K.1^7,K.1^3+K.1^7]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |2,2,-2,-2,2,-2*K.1^5,-2*K.1^5,2*K.1^5,2*K.1^5,-2,2,2*K.1^5,-2*K.1^5,K.1^4+K.1^-4,-1*K.1^2-K.1^-2,-2,2,-2,0,0,0,0,0,0,0,0,-1*K.1^4-K.1^-4,-1*K.1^4-K.1^-4,-1*K.1^2-K.1^-2,K.1^2+K.1^-2,K.1^2+K.1^-2,K.1^4+K.1^-4,2*K.1^5,-2*K.1^5,2*K.1^5,-2*K.1^5,K.1^4+K.1^-4,-1*K.1^2-K.1^-2,-1*K.1^3-K.1^7,K.1^3+K.1^7,K.1^3+K.1^7,-1*K.1^3+K.1^5-K.1^7,K.1^3-K.1^5+K.1^7,K.1^3-K.1^5+K.1^7,-1*K.1^3+K.1^5-K.1^7,-1*K.1^3-K.1^7,-1*K.1^2-K.1^-2,-1*K.1^3-K.1^7,-1*K.1^4-K.1^-4,-1*K.1^2-K.1^-2,K.1^3+K.1^7,K.1^3-K.1^5+K.1^7,K.1^2+K.1^-2,-1*K.1^4-K.1^-4,K.1^4+K.1^-4,-1*K.1^3+K.1^5-K.1^7,K.1^4+K.1^-4,K.1^3+K.1^7,-1*K.1^3+K.1^5-K.1^7,K.1^2+K.1^-2,K.1^3-K.1^5+K.1^7,-1*K.1^3-K.1^7,0,0,0,0,0,0,0,0,-1*K.1^4-K.1^-4,K.1^2+K.1^-2,-1*K.1^4-K.1^-4,K.1^4+K.1^-4,-1*K.1^2-K.1^-2,K.1^2+K.1^-2,K.1^3+K.1^7,-1*K.1^3-K.1^7,-1*K.1^3-K.1^7,K.1^3+K.1^7,-1*K.1^3+K.1^5-K.1^7,-1*K.1^3+K.1^5-K.1^7,K.1^3-K.1^5+K.1^7,K.1^3-K.1^5+K.1^7]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |2,2,-2,-2,2,2*K.1^5,2*K.1^5,-2*K.1^5,-2*K.1^5,-2,2,-2*K.1^5,2*K.1^5,K.1^4+K.1^-4,-1*K.1^2-K.1^-2,-2,2,-2,0,0,0,0,0,0,0,0,-1*K.1^4-K.1^-4,-1*K.1^4-K.1^-4,-1*K.1^2-K.1^-2,K.1^2+K.1^-2,K.1^2+K.1^-2,K.1^4+K.1^-4,-2*K.1^5,2*K.1^5,-2*K.1^5,2*K.1^5,K.1^4+K.1^-4,-1*K.1^2-K.1^-2,K.1^3+K.1^7,-1*K.1^3-K.1^7,-1*K.1^3-K.1^7,K.1^3-K.1^5+K.1^7,-1*K.1^3+K.1^5-K.1^7,-1*K.1^3+K.1^5-K.1^7,K.1^3-K.1^5+K.1^7,K.1^3+K.1^7,-1*K.1^2-K.1^-2,K.1^3+K.1^7,-1*K.1^4-K.1^-4,-1*K.1^2-K.1^-2,-1*K.1^3-K.1^7,-1*K.1^3+K.1^5-K.1^7,K.1^2+K.1^-2,-1*K.1^4-K.1^-4,K.1^4+K.1^-4,K.1^3-K.1^5+K.1^7,K.1^4+K.1^-4,-1*K.1^3-K.1^7,K.1^3-K.1^5+K.1^7,K.1^2+K.1^-2,-1*K.1^3+K.1^5-K.1^7,K.1^3+K.1^7,0,0,0,0,0,0,0,0,-1*K.1^4-K.1^-4,K.1^2+K.1^-2,-1*K.1^4-K.1^-4,K.1^4+K.1^-4,-1*K.1^2-K.1^-2,K.1^2+K.1^-2,-1*K.1^3-K.1^7,K.1^3+K.1^7,K.1^3+K.1^7,-1*K.1^3-K.1^7,K.1^3-K.1^5+K.1^7,K.1^3-K.1^5+K.1^7,-1*K.1^3+K.1^5-K.1^7,-1*K.1^3+K.1^5-K.1^7]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |2,2,-2,-2,2,-2*K.1^5,-2*K.1^5,2*K.1^5,2*K.1^5,2,-2,-2*K.1^5,2*K.1^5,-1*K.1^2-K.1^-2,K.1^4+K.1^-4,-2,2,-2,0,0,0,0,0,0,0,0,K.1^2+K.1^-2,K.1^2+K.1^-2,K.1^4+K.1^-4,-1*K.1^4-K.1^-4,-1*K.1^4-K.1^-4,-1*K.1^2-K.1^-2,2*K.1^5,-2*K.1^5,2*K.1^5,-2*K.1^5,-1*K.1^2-K.1^-2,K.1^4+K.1^-4,K.1^3-K.1^5+K.1^7,-1*K.1^3+K.1^5-K.1^7,-1*K.1^3+K.1^5-K.1^7,K.1^3+K.1^7,-1*K.1^3-K.1^7,-1*K.1^3-K.1^7,K.1^3+K.1^7,K.1^3-K.1^5+K.1^7,-1*K.1^4-K.1^-4,-1*K.1^3+K.1^5-K.1^7,-1*K.1^2-K.1^-2,-1*K.1^4-K.1^-4,K.1^3-K.1^5+K.1^7,K.1^3+K.1^7,K.1^4+K.1^-4,-1*K.1^2-K.1^-2,K.1^2+K.1^-2,-1*K.1^3-K.1^7,K.1^2+K.1^-2,K.1^3-K.1^5+K.1^7,-1*K.1^3-K.1^7,K.1^4+K.1^-4,K.1^3+K.1^7,-1*K.1^3+K.1^5-K.1^7,0,0,0,0,0,0,0,0,K.1^2+K.1^-2,-1*K.1^4-K.1^-4,K.1^2+K.1^-2,-1*K.1^2-K.1^-2,K.1^4+K.1^-4,-1*K.1^4-K.1^-4,-1*K.1^3+K.1^5-K.1^7,K.1^3-K.1^5+K.1^7,K.1^3-K.1^5+K.1^7,-1*K.1^3+K.1^5-K.1^7,K.1^3+K.1^7,K.1^3+K.1^7,-1*K.1^3-K.1^7,-1*K.1^3-K.1^7]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |2,2,-2,-2,2,2*K.1^5,2*K.1^5,-2*K.1^5,-2*K.1^5,2,-2,2*K.1^5,-2*K.1^5,-1*K.1^2-K.1^-2,K.1^4+K.1^-4,-2,2,-2,0,0,0,0,0,0,0,0,K.1^2+K.1^-2,K.1^2+K.1^-2,K.1^4+K.1^-4,-1*K.1^4-K.1^-4,-1*K.1^4-K.1^-4,-1*K.1^2-K.1^-2,-2*K.1^5,2*K.1^5,-2*K.1^5,2*K.1^5,-1*K.1^2-K.1^-2,K.1^4+K.1^-4,-1*K.1^3+K.1^5-K.1^7,K.1^3-K.1^5+K.1^7,K.1^3-K.1^5+K.1^7,-1*K.1^3-K.1^7,K.1^3+K.1^7,K.1^3+K.1^7,-1*K.1^3-K.1^7,-1*K.1^3+K.1^5-K.1^7,-1*K.1^4-K.1^-4,K.1^3-K.1^5+K.1^7,-1*K.1^2-K.1^-2,-1*K.1^4-K.1^-4,-1*K.1^3+K.1^5-K.1^7,-1*K.1^3-K.1^7,K.1^4+K.1^-4,-1*K.1^2-K.1^-2,K.1^2+K.1^-2,K.1^3+K.1^7,K.1^2+K.1^-2,-1*K.1^3+K.1^5-K.1^7,K.1^3+K.1^7,K.1^4+K.1^-4,-1*K.1^3-K.1^7,K.1^3-K.1^5+K.1^7,0,0,0,0,0,0,0,0,K.1^2+K.1^-2,-1*K.1^4-K.1^-4,K.1^2+K.1^-2,-1*K.1^2-K.1^-2,K.1^4+K.1^-4,-1*K.1^4-K.1^-4,K.1^3-K.1^5+K.1^7,-1*K.1^3+K.1^5-K.1^7,-1*K.1^3+K.1^5-K.1^7,K.1^3-K.1^5+K.1^7,-1*K.1^3-K.1^7,-1*K.1^3-K.1^7,K.1^3+K.1^7,K.1^3+K.1^7]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |2,2,-2,-2,2,-2*K.1^5,-2*K.1^5,2*K.1^5,2*K.1^5,2,-2,-2*K.1^5,2*K.1^5,K.1^4+K.1^-4,-1*K.1^2-K.1^-2,-2,2,-2,0,0,0,0,0,0,0,0,-1*K.1^4-K.1^-4,-1*K.1^4-K.1^-4,-1*K.1^2-K.1^-2,K.1^2+K.1^-2,K.1^2+K.1^-2,K.1^4+K.1^-4,2*K.1^5,-2*K.1^5,2*K.1^5,-2*K.1^5,K.1^4+K.1^-4,-1*K.1^2-K.1^-2,-1*K.1^3-K.1^7,K.1^3+K.1^7,K.1^3+K.1^7,-1*K.1^3+K.1^5-K.1^7,K.1^3-K.1^5+K.1^7,K.1^3-K.1^5+K.1^7,-1*K.1^3+K.1^5-K.1^7,-1*K.1^3-K.1^7,K.1^2+K.1^-2,K.1^3+K.1^7,K.1^4+K.1^-4,K.1^2+K.1^-2,-1*K.1^3-K.1^7,-1*K.1^3+K.1^5-K.1^7,-1*K.1^2-K.1^-2,K.1^4+K.1^-4,-1*K.1^4-K.1^-4,K.1^3-K.1^5+K.1^7,-1*K.1^4-K.1^-4,-1*K.1^3-K.1^7,K.1^3-K.1^5+K.1^7,-1*K.1^2-K.1^-2,-1*K.1^3+K.1^5-K.1^7,K.1^3+K.1^7,0,0,0,0,0,0,0,0,-1*K.1^4-K.1^-4,K.1^2+K.1^-2,-1*K.1^4-K.1^-4,K.1^4+K.1^-4,-1*K.1^2-K.1^-2,K.1^2+K.1^-2,K.1^3+K.1^7,-1*K.1^3-K.1^7,-1*K.1^3-K.1^7,K.1^3+K.1^7,-1*K.1^3+K.1^5-K.1^7,-1*K.1^3+K.1^5-K.1^7,K.1^3-K.1^5+K.1^7,K.1^3-K.1^5+K.1^7]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |2,2,-2,-2,2,2*K.1^5,2*K.1^5,-2*K.1^5,-2*K.1^5,2,-2,2*K.1^5,-2*K.1^5,K.1^4+K.1^-4,-1*K.1^2-K.1^-2,-2,2,-2,0,0,0,0,0,0,0,0,-1*K.1^4-K.1^-4,-1*K.1^4-K.1^-4,-1*K.1^2-K.1^-2,K.1^2+K.1^-2,K.1^2+K.1^-2,K.1^4+K.1^-4,-2*K.1^5,2*K.1^5,-2*K.1^5,2*K.1^5,K.1^4+K.1^-4,-1*K.1^2-K.1^-2,K.1^3+K.1^7,-1*K.1^3-K.1^7,-1*K.1^3-K.1^7,K.1^3-K.1^5+K.1^7,-1*K.1^3+K.1^5-K.1^7,-1*K.1^3+K.1^5-K.1^7,K.1^3-K.1^5+K.1^7,K.1^3+K.1^7,K.1^2+K.1^-2,-1*K.1^3-K.1^7,K.1^4+K.1^-4,K.1^2+K.1^-2,K.1^3+K.1^7,K.1^3-K.1^5+K.1^7,-1*K.1^2-K.1^-2,K.1^4+K.1^-4,-1*K.1^4-K.1^-4,-1*K.1^3+K.1^5-K.1^7,-1*K.1^4-K.1^-4,K.1^3+K.1^7,-1*K.1^3+K.1^5-K.1^7,-1*K.1^2-K.1^-2,K.1^3-K.1^5+K.1^7,-1*K.1^3-K.1^7,0,0,0,0,0,0,0,0,-1*K.1^4-K.1^-4,K.1^2+K.1^-2,-1*K.1^4-K.1^-4,K.1^4+K.1^-4,-1*K.1^2-K.1^-2,K.1^2+K.1^-2,-1*K.1^3-K.1^7,K.1^3+K.1^7,K.1^3+K.1^7,-1*K.1^3-K.1^7,K.1^3-K.1^5+K.1^7,K.1^3-K.1^5+K.1^7,-1*K.1^3+K.1^5-K.1^7,-1*K.1^3+K.1^5-K.1^7]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |2,-2,-2,2,2,2,-2,-2,2,0,0,0,0,-1*K.1^2-K.1^-2,K.1^4+K.1^-4,2,-2,-2,0,0,0,0,0,0,0,0,-1*K.1^2-K.1^-2,K.1^2+K.1^-2,-1*K.1^4-K.1^-4,K.1^4+K.1^-4,-1*K.1^4-K.1^-4,K.1^2+K.1^-2,2,2,-2,-2,-1*K.1^2-K.1^-2,K.1^4+K.1^-4,-1*K.1^4-K.1^-4,-1*K.1^4-K.1^-4,K.1^4+K.1^-4,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,K.1^2+K.1^-2,K.1^2+K.1^-2,K.1^4+K.1^-4,-1*K.1-K.1^-1,K.1+K.1^-1,-1*K.1^3-K.1^-3,K.1+K.1^-1,K.1+K.1^-1,-1*K.1^3-K.1^-3,K.1+K.1^-1,K.1^3+K.1^-3,K.1^3+K.1^-3,K.1^3+K.1^-3,-1*K.1^3-K.1^-3,-1*K.1-K.1^-1,-1*K.1^3-K.1^-3,-1*K.1-K.1^-1,K.1^3+K.1^-3,-1*K.1-K.1^-1,0,0,0,0,0,0,0,0,-1*K.1^2-K.1^-2,-1*K.1^4-K.1^-4,K.1^2+K.1^-2,K.1^2+K.1^-2,-1*K.1^4-K.1^-4,K.1^4+K.1^-4,K.1^4+K.1^-4,K.1^4+K.1^-4,-1*K.1^4-K.1^-4,-1*K.1^4-K.1^-4,-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]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := -1;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |2,-2,-2,2,2,2,-2,-2,2,0,0,0,0,-1*K.1^2-K.1^-2,K.1^4+K.1^-4,2,-2,-2,0,0,0,0,0,0,0,0,-1*K.1^2-K.1^-2,K.1^2+K.1^-2,-1*K.1^4-K.1^-4,K.1^4+K.1^-4,-1*K.1^4-K.1^-4,K.1^2+K.1^-2,2,2,-2,-2,-1*K.1^2-K.1^-2,K.1^4+K.1^-4,-1*K.1^4-K.1^-4,-1*K.1^4-K.1^-4,K.1^4+K.1^-4,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,K.1^2+K.1^-2,K.1^2+K.1^-2,K.1^4+K.1^-4,K.1+K.1^-1,-1*K.1-K.1^-1,K.1^3+K.1^-3,-1*K.1-K.1^-1,-1*K.1-K.1^-1,K.1^3+K.1^-3,-1*K.1-K.1^-1,-1*K.1^3-K.1^-3,-1*K.1^3-K.1^-3,-1*K.1^3-K.1^-3,K.1^3+K.1^-3,K.1+K.1^-1,K.1^3+K.1^-3,K.1+K.1^-1,-1*K.1^3-K.1^-3,K.1+K.1^-1,0,0,0,0,0,0,0,0,-1*K.1^2-K.1^-2,-1*K.1^4-K.1^-4,K.1^2+K.1^-2,K.1^2+K.1^-2,-1*K.1^4-K.1^-4,K.1^4+K.1^-4,K.1^4+K.1^-4,K.1^4+K.1^-4,-1*K.1^4-K.1^-4,-1*K.1^4-K.1^-4,-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]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := -1;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |2,-2,-2,2,2,2,-2,-2,2,0,0,0,0,K.1^4+K.1^-4,-1*K.1^2-K.1^-2,2,-2,-2,0,0,0,0,0,0,0,0,K.1^4+K.1^-4,-1*K.1^4-K.1^-4,K.1^2+K.1^-2,-1*K.1^2-K.1^-2,K.1^2+K.1^-2,-1*K.1^4-K.1^-4,2,2,-2,-2,K.1^4+K.1^-4,-1*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,K.1^4+K.1^-4,K.1^4+K.1^-4,-1*K.1^4-K.1^-4,-1*K.1^4-K.1^-4,-1*K.1^2-K.1^-2,-1*K.1^3-K.1^-3,K.1^3+K.1^-3,K.1+K.1^-1,K.1^3+K.1^-3,K.1^3+K.1^-3,K.1+K.1^-1,K.1^3+K.1^-3,-1*K.1-K.1^-1,-1*K.1-K.1^-1,-1*K.1-K.1^-1,K.1+K.1^-1,-1*K.1^3-K.1^-3,K.1+K.1^-1,-1*K.1^3-K.1^-3,-1*K.1-K.1^-1,-1*K.1^3-K.1^-3,0,0,0,0,0,0,0,0,K.1^4+K.1^-4,K.1^2+K.1^-2,-1*K.1^4-K.1^-4,-1*K.1^4-K.1^-4,K.1^2+K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,K.1^2+K.1^-2,K.1^2+K.1^-2,K.1^4+K.1^-4,-1*K.1^4-K.1^-4,K.1^4+K.1^-4,-1*K.1^4-K.1^-4]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := -1;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |2,-2,-2,2,2,2,-2,-2,2,0,0,0,0,K.1^4+K.1^-4,-1*K.1^2-K.1^-2,2,-2,-2,0,0,0,0,0,0,0,0,K.1^4+K.1^-4,-1*K.1^4-K.1^-4,K.1^2+K.1^-2,-1*K.1^2-K.1^-2,K.1^2+K.1^-2,-1*K.1^4-K.1^-4,2,2,-2,-2,K.1^4+K.1^-4,-1*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,K.1^4+K.1^-4,K.1^4+K.1^-4,-1*K.1^4-K.1^-4,-1*K.1^4-K.1^-4,-1*K.1^2-K.1^-2,K.1^3+K.1^-3,-1*K.1^3-K.1^-3,-1*K.1-K.1^-1,-1*K.1^3-K.1^-3,-1*K.1^3-K.1^-3,-1*K.1-K.1^-1,-1*K.1^3-K.1^-3,K.1+K.1^-1,K.1+K.1^-1,K.1+K.1^-1,-1*K.1-K.1^-1,K.1^3+K.1^-3,-1*K.1-K.1^-1,K.1^3+K.1^-3,K.1+K.1^-1,K.1^3+K.1^-3,0,0,0,0,0,0,0,0,K.1^4+K.1^-4,K.1^2+K.1^-2,-1*K.1^4-K.1^-4,-1*K.1^4-K.1^-4,K.1^2+K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,K.1^2+K.1^-2,K.1^2+K.1^-2,K.1^4+K.1^-4,-1*K.1^4-K.1^-4,K.1^4+K.1^-4,-1*K.1^4-K.1^-4]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := -1;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |2,-2,2,-2,2,-2*K.1^5,2*K.1^5,-2*K.1^5,2*K.1^5,0,0,0,0,-1*K.1^2-K.1^-2,K.1^4+K.1^-4,-2,-2,2,0,0,0,0,0,0,0,0,K.1^2+K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^4-K.1^-4,-1*K.1^4-K.1^-4,K.1^4+K.1^-4,K.1^2+K.1^-2,2*K.1^5,-2*K.1^5,-2*K.1^5,2*K.1^5,-1*K.1^2-K.1^-2,K.1^4+K.1^-4,-1*K.1^3+K.1^5-K.1^7,K.1^3-K.1^5+K.1^7,-1*K.1^3+K.1^5-K.1^7,K.1^3+K.1^7,-1*K.1^3-K.1^7,K.1^3+K.1^7,-1*K.1^3-K.1^7,K.1^3-K.1^5+K.1^7,-1*K.1-K.1^-1,K.1^4+K.1^6,K.1^3+K.1^-3,K.1+K.1^-1,-1*K.1^4-K.1^6,1-2*K.1^2+K.1^4-K.1^6,-1*K.1-K.1^-1,-1*K.1^3-K.1^-3,K.1^3+K.1^-3,1-2*K.1^2+K.1^4-K.1^6,-1*K.1^3-K.1^-3,K.1^4+K.1^6,-1+2*K.1^2-K.1^4+K.1^6,K.1+K.1^-1,-1+2*K.1^2-K.1^4+K.1^6,-1*K.1^4-K.1^6,0,0,0,0,0,0,0,0,K.1^2+K.1^-2,K.1^4+K.1^-4,-1*K.1^2-K.1^-2,K.1^2+K.1^-2,-1*K.1^4-K.1^-4,-1*K.1^4-K.1^-4,-1*K.1^3+K.1^5-K.1^7,K.1^3-K.1^5+K.1^7,-1*K.1^3+K.1^5-K.1^7,K.1^3-K.1^5+K.1^7,K.1^3+K.1^7,-1*K.1^3-K.1^7,-1*K.1^3-K.1^7,K.1^3+K.1^7]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |2,-2,2,-2,2,2*K.1^5,-2*K.1^5,2*K.1^5,-2*K.1^5,0,0,0,0,-1*K.1^2-K.1^-2,K.1^4+K.1^-4,-2,-2,2,0,0,0,0,0,0,0,0,K.1^2+K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^4-K.1^-4,-1*K.1^4-K.1^-4,K.1^4+K.1^-4,K.1^2+K.1^-2,-2*K.1^5,2*K.1^5,2*K.1^5,-2*K.1^5,-1*K.1^2-K.1^-2,K.1^4+K.1^-4,K.1^3-K.1^5+K.1^7,-1*K.1^3+K.1^5-K.1^7,K.1^3-K.1^5+K.1^7,-1*K.1^3-K.1^7,K.1^3+K.1^7,-1*K.1^3-K.1^7,K.1^3+K.1^7,-1*K.1^3+K.1^5-K.1^7,-1*K.1-K.1^-1,-1*K.1^4-K.1^6,K.1^3+K.1^-3,K.1+K.1^-1,K.1^4+K.1^6,-1+2*K.1^2-K.1^4+K.1^6,-1*K.1-K.1^-1,-1*K.1^3-K.1^-3,K.1^3+K.1^-3,-1+2*K.1^2-K.1^4+K.1^6,-1*K.1^3-K.1^-3,-1*K.1^4-K.1^6,1-2*K.1^2+K.1^4-K.1^6,K.1+K.1^-1,1-2*K.1^2+K.1^4-K.1^6,K.1^4+K.1^6,0,0,0,0,0,0,0,0,K.1^2+K.1^-2,K.1^4+K.1^-4,-1*K.1^2-K.1^-2,K.1^2+K.1^-2,-1*K.1^4-K.1^-4,-1*K.1^4-K.1^-4,K.1^3-K.1^5+K.1^7,-1*K.1^3+K.1^5-K.1^7,K.1^3-K.1^5+K.1^7,-1*K.1^3+K.1^5-K.1^7,-1*K.1^3-K.1^7,K.1^3+K.1^7,K.1^3+K.1^7,-1*K.1^3-K.1^7]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |2,-2,2,-2,2,-2*K.1^5,2*K.1^5,-2*K.1^5,2*K.1^5,0,0,0,0,-1*K.1^2-K.1^-2,K.1^4+K.1^-4,-2,-2,2,0,0,0,0,0,0,0,0,K.1^2+K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^4-K.1^-4,-1*K.1^4-K.1^-4,K.1^4+K.1^-4,K.1^2+K.1^-2,2*K.1^5,-2*K.1^5,-2*K.1^5,2*K.1^5,-1*K.1^2-K.1^-2,K.1^4+K.1^-4,-1*K.1^3+K.1^5-K.1^7,K.1^3-K.1^5+K.1^7,-1*K.1^3+K.1^5-K.1^7,K.1^3+K.1^7,-1*K.1^3-K.1^7,K.1^3+K.1^7,-1*K.1^3-K.1^7,K.1^3-K.1^5+K.1^7,K.1+K.1^-1,-1*K.1^4-K.1^6,-1*K.1^3-K.1^-3,-1*K.1-K.1^-1,K.1^4+K.1^6,-1+2*K.1^2-K.1^4+K.1^6,K.1+K.1^-1,K.1^3+K.1^-3,-1*K.1^3-K.1^-3,-1+2*K.1^2-K.1^4+K.1^6,K.1^3+K.1^-3,-1*K.1^4-K.1^6,1-2*K.1^2+K.1^4-K.1^6,-1*K.1-K.1^-1,1-2*K.1^2+K.1^4-K.1^6,K.1^4+K.1^6,0,0,0,0,0,0,0,0,K.1^2+K.1^-2,K.1^4+K.1^-4,-1*K.1^2-K.1^-2,K.1^2+K.1^-2,-1*K.1^4-K.1^-4,-1*K.1^4-K.1^-4,-1*K.1^3+K.1^5-K.1^7,K.1^3-K.1^5+K.1^7,-1*K.1^3+K.1^5-K.1^7,K.1^3-K.1^5+K.1^7,K.1^3+K.1^7,-1*K.1^3-K.1^7,-1*K.1^3-K.1^7,K.1^3+K.1^7]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |2,-2,2,-2,2,2*K.1^5,-2*K.1^5,2*K.1^5,-2*K.1^5,0,0,0,0,-1*K.1^2-K.1^-2,K.1^4+K.1^-4,-2,-2,2,0,0,0,0,0,0,0,0,K.1^2+K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^4-K.1^-4,-1*K.1^4-K.1^-4,K.1^4+K.1^-4,K.1^2+K.1^-2,-2*K.1^5,2*K.1^5,2*K.1^5,-2*K.1^5,-1*K.1^2-K.1^-2,K.1^4+K.1^-4,K.1^3-K.1^5+K.1^7,-1*K.1^3+K.1^5-K.1^7,K.1^3-K.1^5+K.1^7,-1*K.1^3-K.1^7,K.1^3+K.1^7,-1*K.1^3-K.1^7,K.1^3+K.1^7,-1*K.1^3+K.1^5-K.1^7,K.1+K.1^-1,K.1^4+K.1^6,-1*K.1^3-K.1^-3,-1*K.1-K.1^-1,-1*K.1^4-K.1^6,1-2*K.1^2+K.1^4-K.1^6,K.1+K.1^-1,K.1^3+K.1^-3,-1*K.1^3-K.1^-3,1-2*K.1^2+K.1^4-K.1^6,K.1^3+K.1^-3,K.1^4+K.1^6,-1+2*K.1^2-K.1^4+K.1^6,-1*K.1-K.1^-1,-1+2*K.1^2-K.1^4+K.1^6,-1*K.1^4-K.1^6,0,0,0,0,0,0,0,0,K.1^2+K.1^-2,K.1^4+K.1^-4,-1*K.1^2-K.1^-2,K.1^2+K.1^-2,-1*K.1^4-K.1^-4,-1*K.1^4-K.1^-4,K.1^3-K.1^5+K.1^7,-1*K.1^3+K.1^5-K.1^7,K.1^3-K.1^5+K.1^7,-1*K.1^3+K.1^5-K.1^7,-1*K.1^3-K.1^7,K.1^3+K.1^7,K.1^3+K.1^7,-1*K.1^3-K.1^7]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |2,-2,2,-2,2,-2*K.1^5,2*K.1^5,-2*K.1^5,2*K.1^5,0,0,0,0,K.1^4+K.1^-4,-1*K.1^2-K.1^-2,-2,-2,2,0,0,0,0,0,0,0,0,-1*K.1^4-K.1^-4,K.1^4+K.1^-4,K.1^2+K.1^-2,K.1^2+K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^4-K.1^-4,2*K.1^5,-2*K.1^5,-2*K.1^5,2*K.1^5,K.1^4+K.1^-4,-1*K.1^2-K.1^-2,K.1^3+K.1^7,-1*K.1^3-K.1^7,K.1^3+K.1^7,-1*K.1^3+K.1^5-K.1^7,K.1^3-K.1^5+K.1^7,-1*K.1^3+K.1^5-K.1^7,K.1^3-K.1^5+K.1^7,-1*K.1^3-K.1^7,-1*K.1^3-K.1^-3,-1+2*K.1^2-K.1^4+K.1^6,-1*K.1-K.1^-1,K.1^3+K.1^-3,1-2*K.1^2+K.1^4-K.1^6,K.1^4+K.1^6,-1*K.1^3-K.1^-3,K.1+K.1^-1,-1*K.1-K.1^-1,K.1^4+K.1^6,K.1+K.1^-1,-1+2*K.1^2-K.1^4+K.1^6,-1*K.1^4-K.1^6,K.1^3+K.1^-3,-1*K.1^4-K.1^6,1-2*K.1^2+K.1^4-K.1^6,0,0,0,0,0,0,0,0,-1*K.1^4-K.1^-4,-1*K.1^2-K.1^-2,K.1^4+K.1^-4,-1*K.1^4-K.1^-4,K.1^2+K.1^-2,K.1^2+K.1^-2,K.1^3+K.1^7,-1*K.1^3-K.1^7,K.1^3+K.1^7,-1*K.1^3-K.1^7,-1*K.1^3+K.1^5-K.1^7,K.1^3-K.1^5+K.1^7,K.1^3-K.1^5+K.1^7,-1*K.1^3+K.1^5-K.1^7]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |2,-2,2,-2,2,2*K.1^5,-2*K.1^5,2*K.1^5,-2*K.1^5,0,0,0,0,K.1^4+K.1^-4,-1*K.1^2-K.1^-2,-2,-2,2,0,0,0,0,0,0,0,0,-1*K.1^4-K.1^-4,K.1^4+K.1^-4,K.1^2+K.1^-2,K.1^2+K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^4-K.1^-4,-2*K.1^5,2*K.1^5,2*K.1^5,-2*K.1^5,K.1^4+K.1^-4,-1*K.1^2-K.1^-2,-1*K.1^3-K.1^7,K.1^3+K.1^7,-1*K.1^3-K.1^7,K.1^3-K.1^5+K.1^7,-1*K.1^3+K.1^5-K.1^7,K.1^3-K.1^5+K.1^7,-1*K.1^3+K.1^5-K.1^7,K.1^3+K.1^7,-1*K.1^3-K.1^-3,1-2*K.1^2+K.1^4-K.1^6,-1*K.1-K.1^-1,K.1^3+K.1^-3,-1+2*K.1^2-K.1^4+K.1^6,-1*K.1^4-K.1^6,-1*K.1^3-K.1^-3,K.1+K.1^-1,-1*K.1-K.1^-1,-1*K.1^4-K.1^6,K.1+K.1^-1,1-2*K.1^2+K.1^4-K.1^6,K.1^4+K.1^6,K.1^3+K.1^-3,K.1^4+K.1^6,-1+2*K.1^2-K.1^4+K.1^6,0,0,0,0,0,0,0,0,-1*K.1^4-K.1^-4,-1*K.1^2-K.1^-2,K.1^4+K.1^-4,-1*K.1^4-K.1^-4,K.1^2+K.1^-2,K.1^2+K.1^-2,-1*K.1^3-K.1^7,K.1^3+K.1^7,-1*K.1^3-K.1^7,K.1^3+K.1^7,K.1^3-K.1^5+K.1^7,-1*K.1^3+K.1^5-K.1^7,-1*K.1^3+K.1^5-K.1^7,K.1^3-K.1^5+K.1^7]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |2,-2,2,-2,2,-2*K.1^5,2*K.1^5,-2*K.1^5,2*K.1^5,0,0,0,0,K.1^4+K.1^-4,-1*K.1^2-K.1^-2,-2,-2,2,0,0,0,0,0,0,0,0,-1*K.1^4-K.1^-4,K.1^4+K.1^-4,K.1^2+K.1^-2,K.1^2+K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^4-K.1^-4,2*K.1^5,-2*K.1^5,-2*K.1^5,2*K.1^5,K.1^4+K.1^-4,-1*K.1^2-K.1^-2,K.1^3+K.1^7,-1*K.1^3-K.1^7,K.1^3+K.1^7,-1*K.1^3+K.1^5-K.1^7,K.1^3-K.1^5+K.1^7,-1*K.1^3+K.1^5-K.1^7,K.1^3-K.1^5+K.1^7,-1*K.1^3-K.1^7,K.1^3+K.1^-3,1-2*K.1^2+K.1^4-K.1^6,K.1+K.1^-1,-1*K.1^3-K.1^-3,-1+2*K.1^2-K.1^4+K.1^6,-1*K.1^4-K.1^6,K.1^3+K.1^-3,-1*K.1-K.1^-1,K.1+K.1^-1,-1*K.1^4-K.1^6,-1*K.1-K.1^-1,1-2*K.1^2+K.1^4-K.1^6,K.1^4+K.1^6,-1*K.1^3-K.1^-3,K.1^4+K.1^6,-1+2*K.1^2-K.1^4+K.1^6,0,0,0,0,0,0,0,0,-1*K.1^4-K.1^-4,-1*K.1^2-K.1^-2,K.1^4+K.1^-4,-1*K.1^4-K.1^-4,K.1^2+K.1^-2,K.1^2+K.1^-2,K.1^3+K.1^7,-1*K.1^3-K.1^7,K.1^3+K.1^7,-1*K.1^3-K.1^7,-1*K.1^3+K.1^5-K.1^7,K.1^3-K.1^5+K.1^7,K.1^3-K.1^5+K.1^7,-1*K.1^3+K.1^5-K.1^7]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |2,-2,2,-2,2,2*K.1^5,-2*K.1^5,2*K.1^5,-2*K.1^5,0,0,0,0,K.1^4+K.1^-4,-1*K.1^2-K.1^-2,-2,-2,2,0,0,0,0,0,0,0,0,-1*K.1^4-K.1^-4,K.1^4+K.1^-4,K.1^2+K.1^-2,K.1^2+K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^4-K.1^-4,-2*K.1^5,2*K.1^5,2*K.1^5,-2*K.1^5,K.1^4+K.1^-4,-1*K.1^2-K.1^-2,-1*K.1^3-K.1^7,K.1^3+K.1^7,-1*K.1^3-K.1^7,K.1^3-K.1^5+K.1^7,-1*K.1^3+K.1^5-K.1^7,K.1^3-K.1^5+K.1^7,-1*K.1^3+K.1^5-K.1^7,K.1^3+K.1^7,K.1^3+K.1^-3,-1+2*K.1^2-K.1^4+K.1^6,K.1+K.1^-1,-1*K.1^3-K.1^-3,1-2*K.1^2+K.1^4-K.1^6,K.1^4+K.1^6,K.1^3+K.1^-3,-1*K.1-K.1^-1,K.1+K.1^-1,K.1^4+K.1^6,-1*K.1-K.1^-1,-1+2*K.1^2-K.1^4+K.1^6,-1*K.1^4-K.1^6,-1*K.1^3-K.1^-3,-1*K.1^4-K.1^6,1-2*K.1^2+K.1^4-K.1^6,0,0,0,0,0,0,0,0,-1*K.1^4-K.1^-4,-1*K.1^2-K.1^-2,K.1^4+K.1^-4,-1*K.1^4-K.1^-4,K.1^2+K.1^-2,K.1^2+K.1^-2,-1*K.1^3-K.1^7,K.1^3+K.1^7,-1*K.1^3-K.1^7,K.1^3+K.1^7,K.1^3-K.1^5+K.1^7,-1*K.1^3+K.1^5-K.1^7,-1*K.1^3+K.1^5-K.1^7,K.1^3-K.1^5+K.1^7]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(5: Sparse := true);
S := [ K |4,4,4,4,-2,4,4,4,4,0,0,0,0,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-1,-2,-2,-2,0,0,0,0,0,0,0,0,2*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*K.1^-1,2*K.1+2*K.1^-1,2*K.1^2+2*K.1^-2,-2,-2,-2,-2,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,2*K.1+2*K.1^-1,2*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+2*K.1^-2,2*K.1^2+2*K.1^-2,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,-1*K.1-K.1^-1,-1*K.1-K.1^-1,-1*K.1-K.1^-1,-1*K.1-K.1^-1,-1*K.1-K.1^-1,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(5: Sparse := true);
S := [ K |4,4,4,4,-2,4,4,4,4,0,0,0,0,2*K.1+2*K.1^-1,2*K.1^2+2*K.1^-2,-2,-2,-2,0,0,0,0,0,0,0,0,2*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+2*K.1^-2,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-1,-2,-2,-2,-2,-1*K.1-K.1^-1,-1*K.1^2-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*K.1^-1,2*K.1+2*K.1^-1,2*K.1+2*K.1^-1,2*K.1+2*K.1^-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,-1*K.1-K.1^-1,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,-1*K.1-K.1^-1,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,-1*K.1-K.1^-1,-1*K.1-K.1^-1,-1*K.1-K.1^-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(5: Sparse := true);
S := [ K |4,-4,-4,4,-2,-4,4,4,-4,0,0,0,0,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-1,-2,2,2,0,0,0,0,0,0,0,0,2*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*K.1^-1,-2*K.1-2*K.1^-1,-2*K.1^2-2*K.1^-2,2,2,-2,-2,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,2*K.1+2*K.1^-1,2*K.1+2*K.1^-1,-2*K.1-2*K.1^-1,-2*K.1^2-2*K.1^-2,-2*K.1^2-2*K.1^-2,2*K.1^2+2*K.1^-2,2*K.1^2+2*K.1^-2,-2*K.1-2*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-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+K.1^-1,-1*K.1-K.1^-1,K.1+K.1^-1,K.1+K.1^-1,-1*K.1-K.1^-1,-1*K.1-K.1^-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]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(5: Sparse := true);
S := [ K |4,-4,-4,4,-2,-4,4,4,-4,0,0,0,0,2*K.1+2*K.1^-1,2*K.1^2+2*K.1^-2,-2,2,2,0,0,0,0,0,0,0,0,2*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+2*K.1^-2,-2*K.1^2-2*K.1^-2,-2*K.1-2*K.1^-1,2,2,-2,-2,-1*K.1-K.1^-1,-1*K.1^2-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*K.1^-1,-2*K.1-2*K.1^-1,2*K.1+2*K.1^-1,2*K.1+2*K.1^-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,-1*K.1-K.1^-1,K.1^2+K.1^-2,K.1+K.1^-1,K.1+K.1^-1,K.1^2+K.1^-2,-1*K.1^2-K.1^-2,K.1^2+K.1^-2,K.1^2+K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,K.1+K.1^-1,-1*K.1-K.1^-1,K.1+K.1^-1,-1*K.1-K.1^-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(5: Sparse := true);
S := [ K |4,4,4,4,-2,-4,-4,-4,-4,0,0,0,0,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-1,-2,-2,-2,0,0,0,0,0,0,0,0,2*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*K.1^-1,2*K.1+2*K.1^-1,2*K.1^2+2*K.1^-2,2,2,2,2,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,-2*K.1-2*K.1^-1,-2*K.1-2*K.1^-1,-2*K.1-2*K.1^-1,-2*K.1^2-2*K.1^-2,-2*K.1^2-2*K.1^-2,-2*K.1^2-2*K.1^-2,-2*K.1^2-2*K.1^-2,-2*K.1-2*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,-1*K.1-K.1^-1,K.1+K.1^-1,K.1+K.1^-1,K.1+K.1^-1,K.1+K.1^-1,K.1^2+K.1^-2,K.1^2+K.1^-2,K.1^2+K.1^-2,K.1^2+K.1^-2]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := -1;
x`IsIrreducible := true; 
K := CyclotomicField(5: Sparse := true);
S := [ K |4,4,4,4,-2,-4,-4,-4,-4,0,0,0,0,2*K.1+2*K.1^-1,2*K.1^2+2*K.1^-2,-2,-2,-2,0,0,0,0,0,0,0,0,2*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+2*K.1^-2,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-1,2,2,2,2,-1*K.1-K.1^-1,-1*K.1^2-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*K.1^-1,-2*K.1-2*K.1^-1,-2*K.1-2*K.1^-1,-2*K.1-2*K.1^-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,-1*K.1-K.1^-1,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,-1*K.1-K.1^-1,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,K.1^2+K.1^-2,K.1^2+K.1^-2,K.1^2+K.1^-2,K.1^2+K.1^-2,K.1+K.1^-1,K.1+K.1^-1,K.1+K.1^-1,K.1+K.1^-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := -1;
x`IsIrreducible := true; 
K := CyclotomicField(5: Sparse := true);
S := [ K |4,-4,-4,4,-2,4,-4,-4,4,0,0,0,0,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-1,-2,2,2,0,0,0,0,0,0,0,0,2*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*K.1^-1,-2*K.1-2*K.1^-1,-2*K.1^2-2*K.1^-2,-2,-2,2,2,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,-2*K.1-2*K.1^-1,-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+2*K.1^-2,-2*K.1^2-2*K.1^-2,-2*K.1^2-2*K.1^-2,2*K.1+2*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-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+K.1^-1,-1*K.1-K.1^-1,-1*K.1-K.1^-1,-1*K.1-K.1^-1,K.1+K.1^-1,K.1+K.1^-1,-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]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := -1;
x`IsIrreducible := true; 
K := CyclotomicField(5: Sparse := true);
S := [ K |4,-4,-4,4,-2,4,-4,-4,4,0,0,0,0,2*K.1+2*K.1^-1,2*K.1^2+2*K.1^-2,-2,2,2,0,0,0,0,0,0,0,0,2*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+2*K.1^-2,-2*K.1^2-2*K.1^-2,-2*K.1-2*K.1^-1,-2,-2,2,2,-1*K.1-K.1^-1,-1*K.1^2-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*K.1^-1,2*K.1+2*K.1^-1,-2*K.1-2*K.1^-1,-2*K.1-2*K.1^-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,-1*K.1-K.1^-1,K.1^2+K.1^-2,K.1+K.1^-1,K.1+K.1^-1,K.1^2+K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,K.1^2+K.1^-2,K.1^2+K.1^-2,-1*K.1-K.1^-1,K.1+K.1^-1,-1*K.1-K.1^-1,K.1+K.1^-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := -1;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |4,-4,4,-4,-2,-4*K.1^5,4*K.1^5,-4*K.1^5,4*K.1^5,0,0,0,0,-2*K.1^2-2*K.1^-2,2*K.1^4+2*K.1^-4,2,2,-2,0,0,0,0,0,0,0,0,2*K.1^2+2*K.1^-2,-2*K.1^2-2*K.1^-2,-2*K.1^4-2*K.1^-4,-2*K.1^4-2*K.1^-4,2*K.1^4+2*K.1^-4,2*K.1^2+2*K.1^-2,-2*K.1^5,2*K.1^5,2*K.1^5,-2*K.1^5,K.1^2+K.1^-2,-1*K.1^4-K.1^-4,-2*K.1^3+2*K.1^5-2*K.1^7,2*K.1^3-2*K.1^5+2*K.1^7,-2*K.1^3+2*K.1^5-2*K.1^7,2*K.1^3+2*K.1^7,-2*K.1^3-2*K.1^7,2*K.1^3+2*K.1^7,-2*K.1^3-2*K.1^7,2*K.1^3-2*K.1^5+2*K.1^7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1*K.1^2-K.1^-2,-1*K.1^4-K.1^-4,K.1^2+K.1^-2,-1*K.1^2-K.1^-2,K.1^4+K.1^-4,K.1^4+K.1^-4,K.1^3-K.1^5+K.1^7,-1*K.1^3+K.1^5-K.1^7,K.1^3-K.1^5+K.1^7,-1*K.1^3+K.1^5-K.1^7,-1*K.1^3-K.1^7,K.1^3+K.1^7,K.1^3+K.1^7,-1*K.1^3-K.1^7]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |4,-4,4,-4,-2,4*K.1^5,-4*K.1^5,4*K.1^5,-4*K.1^5,0,0,0,0,-2*K.1^2-2*K.1^-2,2*K.1^4+2*K.1^-4,2,2,-2,0,0,0,0,0,0,0,0,2*K.1^2+2*K.1^-2,-2*K.1^2-2*K.1^-2,-2*K.1^4-2*K.1^-4,-2*K.1^4-2*K.1^-4,2*K.1^4+2*K.1^-4,2*K.1^2+2*K.1^-2,2*K.1^5,-2*K.1^5,-2*K.1^5,2*K.1^5,K.1^2+K.1^-2,-1*K.1^4-K.1^-4,2*K.1^3-2*K.1^5+2*K.1^7,-2*K.1^3+2*K.1^5-2*K.1^7,2*K.1^3-2*K.1^5+2*K.1^7,-2*K.1^3-2*K.1^7,2*K.1^3+2*K.1^7,-2*K.1^3-2*K.1^7,2*K.1^3+2*K.1^7,-2*K.1^3+2*K.1^5-2*K.1^7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1*K.1^2-K.1^-2,-1*K.1^4-K.1^-4,K.1^2+K.1^-2,-1*K.1^2-K.1^-2,K.1^4+K.1^-4,K.1^4+K.1^-4,-1*K.1^3+K.1^5-K.1^7,K.1^3-K.1^5+K.1^7,-1*K.1^3+K.1^5-K.1^7,K.1^3-K.1^5+K.1^7,K.1^3+K.1^7,-1*K.1^3-K.1^7,-1*K.1^3-K.1^7,K.1^3+K.1^7]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |4,-4,4,-4,-2,-4*K.1^5,4*K.1^5,-4*K.1^5,4*K.1^5,0,0,0,0,2*K.1^4+2*K.1^-4,-2*K.1^2-2*K.1^-2,2,2,-2,0,0,0,0,0,0,0,0,-2*K.1^4-2*K.1^-4,2*K.1^4+2*K.1^-4,2*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.1^4-2*K.1^-4,-2*K.1^5,2*K.1^5,2*K.1^5,-2*K.1^5,-1*K.1^4-K.1^-4,K.1^2+K.1^-2,2*K.1^3+2*K.1^7,-2*K.1^3-2*K.1^7,2*K.1^3+2*K.1^7,-2*K.1^3+2*K.1^5-2*K.1^7,2*K.1^3-2*K.1^5+2*K.1^7,-2*K.1^3+2*K.1^5-2*K.1^7,2*K.1^3-2*K.1^5+2*K.1^7,-2*K.1^3-2*K.1^7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,K.1^4+K.1^-4,K.1^2+K.1^-2,-1*K.1^4-K.1^-4,K.1^4+K.1^-4,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^3-K.1^7,K.1^3+K.1^7,-1*K.1^3-K.1^7,K.1^3+K.1^7,K.1^3-K.1^5+K.1^7,-1*K.1^3+K.1^5-K.1^7,-1*K.1^3+K.1^5-K.1^7,K.1^3-K.1^5+K.1^7]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |4,-4,4,-4,-2,4*K.1^5,-4*K.1^5,4*K.1^5,-4*K.1^5,0,0,0,0,2*K.1^4+2*K.1^-4,-2*K.1^2-2*K.1^-2,2,2,-2,0,0,0,0,0,0,0,0,-2*K.1^4-2*K.1^-4,2*K.1^4+2*K.1^-4,2*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.1^4-2*K.1^-4,2*K.1^5,-2*K.1^5,-2*K.1^5,2*K.1^5,-1*K.1^4-K.1^-4,K.1^2+K.1^-2,-2*K.1^3-2*K.1^7,2*K.1^3+2*K.1^7,-2*K.1^3-2*K.1^7,2*K.1^3-2*K.1^5+2*K.1^7,-2*K.1^3+2*K.1^5-2*K.1^7,2*K.1^3-2*K.1^5+2*K.1^7,-2*K.1^3+2*K.1^5-2*K.1^7,2*K.1^3+2*K.1^7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,K.1^4+K.1^-4,K.1^2+K.1^-2,-1*K.1^4-K.1^-4,K.1^4+K.1^-4,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,K.1^3+K.1^7,-1*K.1^3-K.1^7,K.1^3+K.1^7,-1*K.1^3-K.1^7,-1*K.1^3+K.1^5-K.1^7,K.1^3-K.1^5+K.1^7,K.1^3-K.1^5+K.1^7,-1*K.1^3+K.1^5-K.1^7]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |4,4,-4,-4,-2,-4*K.1^5,-4*K.1^5,4*K.1^5,4*K.1^5,0,0,0,0,-2*K.1^2-2*K.1^-2,2*K.1^4+2*K.1^-4,2,-2,2,0,0,0,0,0,0,0,0,2*K.1^2+2*K.1^-2,2*K.1^2+2*K.1^-2,2*K.1^4+2*K.1^-4,-2*K.1^4-2*K.1^-4,-2*K.1^4-2*K.1^-4,-2*K.1^2-2*K.1^-2,-2*K.1^5,2*K.1^5,-2*K.1^5,2*K.1^5,K.1^2+K.1^-2,-1*K.1^4-K.1^-4,2*K.1^3-2*K.1^5+2*K.1^7,-2*K.1^3+2*K.1^5-2*K.1^7,-2*K.1^3+2*K.1^5-2*K.1^7,2*K.1^3+2*K.1^7,-2*K.1^3-2*K.1^7,-2*K.1^3-2*K.1^7,2*K.1^3+2*K.1^7,2*K.1^3-2*K.1^5+2*K.1^7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1*K.1^2-K.1^-2,K.1^4+K.1^-4,-1*K.1^2-K.1^-2,K.1^2+K.1^-2,-1*K.1^4-K.1^-4,K.1^4+K.1^-4,K.1^3-K.1^5+K.1^7,-1*K.1^3+K.1^5-K.1^7,-1*K.1^3+K.1^5-K.1^7,K.1^3-K.1^5+K.1^7,-1*K.1^3-K.1^7,-1*K.1^3-K.1^7,K.1^3+K.1^7,K.1^3+K.1^7]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |4,4,-4,-4,-2,4*K.1^5,4*K.1^5,-4*K.1^5,-4*K.1^5,0,0,0,0,-2*K.1^2-2*K.1^-2,2*K.1^4+2*K.1^-4,2,-2,2,0,0,0,0,0,0,0,0,2*K.1^2+2*K.1^-2,2*K.1^2+2*K.1^-2,2*K.1^4+2*K.1^-4,-2*K.1^4-2*K.1^-4,-2*K.1^4-2*K.1^-4,-2*K.1^2-2*K.1^-2,2*K.1^5,-2*K.1^5,2*K.1^5,-2*K.1^5,K.1^2+K.1^-2,-1*K.1^4-K.1^-4,-2*K.1^3+2*K.1^5-2*K.1^7,2*K.1^3-2*K.1^5+2*K.1^7,2*K.1^3-2*K.1^5+2*K.1^7,-2*K.1^3-2*K.1^7,2*K.1^3+2*K.1^7,2*K.1^3+2*K.1^7,-2*K.1^3-2*K.1^7,-2*K.1^3+2*K.1^5-2*K.1^7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1*K.1^2-K.1^-2,K.1^4+K.1^-4,-1*K.1^2-K.1^-2,K.1^2+K.1^-2,-1*K.1^4-K.1^-4,K.1^4+K.1^-4,-1*K.1^3+K.1^5-K.1^7,K.1^3-K.1^5+K.1^7,K.1^3-K.1^5+K.1^7,-1*K.1^3+K.1^5-K.1^7,K.1^3+K.1^7,K.1^3+K.1^7,-1*K.1^3-K.1^7,-1*K.1^3-K.1^7]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |4,4,-4,-4,-2,-4*K.1^5,-4*K.1^5,4*K.1^5,4*K.1^5,0,0,0,0,2*K.1^4+2*K.1^-4,-2*K.1^2-2*K.1^-2,2,-2,2,0,0,0,0,0,0,0,0,-2*K.1^4-2*K.1^-4,-2*K.1^4-2*K.1^-4,-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.1^4+2*K.1^-4,-2*K.1^5,2*K.1^5,-2*K.1^5,2*K.1^5,-1*K.1^4-K.1^-4,K.1^2+K.1^-2,-2*K.1^3-2*K.1^7,2*K.1^3+2*K.1^7,2*K.1^3+2*K.1^7,-2*K.1^3+2*K.1^5-2*K.1^7,2*K.1^3-2*K.1^5+2*K.1^7,2*K.1^3-2*K.1^5+2*K.1^7,-2*K.1^3+2*K.1^5-2*K.1^7,-2*K.1^3-2*K.1^7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,K.1^4+K.1^-4,-1*K.1^2-K.1^-2,K.1^4+K.1^-4,-1*K.1^4-K.1^-4,K.1^2+K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^3-K.1^7,K.1^3+K.1^7,K.1^3+K.1^7,-1*K.1^3-K.1^7,K.1^3-K.1^5+K.1^7,K.1^3-K.1^5+K.1^7,-1*K.1^3+K.1^5-K.1^7,-1*K.1^3+K.1^5-K.1^7]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(20: Sparse := true);
S := [ K |4,4,-4,-4,-2,4*K.1^5,4*K.1^5,-4*K.1^5,-4*K.1^5,0,0,0,0,2*K.1^4+2*K.1^-4,-2*K.1^2-2*K.1^-2,2,-2,2,0,0,0,0,0,0,0,0,-2*K.1^4-2*K.1^-4,-2*K.1^4-2*K.1^-4,-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.1^4+2*K.1^-4,2*K.1^5,-2*K.1^5,2*K.1^5,-2*K.1^5,-1*K.1^4-K.1^-4,K.1^2+K.1^-2,2*K.1^3+2*K.1^7,-2*K.1^3-2*K.1^7,-2*K.1^3-2*K.1^7,2*K.1^3-2*K.1^5+2*K.1^7,-2*K.1^3+2*K.1^5-2*K.1^7,-2*K.1^3+2*K.1^5-2*K.1^7,2*K.1^3-2*K.1^5+2*K.1^7,2*K.1^3+2*K.1^7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,K.1^4+K.1^-4,-1*K.1^2-K.1^-2,K.1^4+K.1^-4,-1*K.1^4-K.1^-4,K.1^2+K.1^-2,-1*K.1^2-K.1^-2,K.1^3+K.1^7,-1*K.1^3-K.1^7,-1*K.1^3-K.1^7,K.1^3+K.1^7,-1*K.1^3+K.1^5-K.1^7,-1*K.1^3+K.1^5-K.1^7,K.1^3-K.1^5+K.1^7,K.1^3-K.1^5+K.1^7]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
_ := CharacterTable(G : Check := 0); 
chartbl_480_60:= KnownIrreducibles(CR);