/* Group 648.651 downloaded from the LMFDB on 31 October 2025. */ /* Various presentations of this group are stored in this file: GPC is polycyclic presentation GPerm is permutation group GLZ, GLFp, GLZA, GLZq, GLFq if they exist are matrix groups Many characteristics of the group are stored as booleans in a record: Agroup, Zgroup, abelian, almost_simple,cyclic, metabelian, metacyclic, monomial, nilpotent, perfect, quasisimple, rational, solvable, supersolvable The character table is stored as chartbl_n_i where n is the order of the group and i is which group of that order it is. Conjugacy classes are stored in the variable 'C' with elements from the group 'G'. */ /* Constructions */ GPC := PCGroup([7, -2, -2, -3, -3, -2, -3, -3, 14, 36, 675, 6304, 102, 6053, 622]); a,b,c,d := Explode([GPC.1, GPC.4, GPC.5, GPC.7]); AssignNames(~GPC, ["a", "a2", "a4", "b", "c", "c2", "d"]); GPerm := PermutationGroup< 16 | (11,12)(13,15)(14,16), (2,3)(4,5,6,7)(9,10), (11,13,14)(12,15,16), (4,6)(5,7), (1,2,3)(8,9,10), (1,3,2), (11,14,13)(12,15,16) >; GLZN := MatrixGroup< 2, Integers(18) | [[17, 0, 0, 17], [0, 7, 5, 0], [7, 0, 0, 1], [7, 0, 0, 7], [10, 15, 15, 13], [7, 9, 9, 16], [1, 9, 0, 1]] >; /* Booleans */ RF := recformat< Agroup, Zgroup, abelian, almost_simple, cyclic, metabelian, metacyclic, monomial, nilpotent, perfect, quasisimple, rational, solvable, supersolvable : BoolElt >; booleans_648_651 := rec< RF | Agroup := true, Zgroup := false, abelian := false, almost_simple := false, cyclic := false, metabelian := true, metacyclic := false, monomial := true, nilpotent := false, perfect := false, quasisimple := false, rational := false, solvable := true, supersolvable := true>; /* Character Table */ G:= GPC; C := SequenceToConjugacyClasses([car |< 1, 1, Id(G)>,< 2, 1, a^6>,< 2, 3, c^3>,< 2, 3, a^6*c^3>,< 3, 1, a^8>,< 3, 1, a^4>,< 3, 2, c^4>,< 3, 2, b^2>,< 3, 2, b^2*c^4>,< 3, 2, b^2*c^2>,< 3, 2, d>,< 3, 2, a^4*c^4>,< 3, 2, a^8*c^2>,< 3, 2, a^4*b^2>,< 3, 2, a^8*b>,< 3, 2, a^4*b^2*c^4>,< 3, 2, a^8*b*c^2>,< 3, 2, a^4*b^2*c^2>,< 3, 2, a^8*b*c^4>,< 3, 2, a^4*d>,< 3, 2, a^8*d^2>,< 3, 4, c^4*d^2>,< 3, 4, b^2*d^2>,< 3, 4, b^2*c^4*d^2>,< 3, 4, b^2*c^2*d^2>,< 3, 4, a^4*c^4*d^2>,< 3, 4, a^8*c^2*d>,< 3, 4, a^4*b^2*d^2>,< 3, 4, a^8*b*d>,< 3, 4, a^4*b^2*c^4*d^2>,< 3, 4, a^8*b*c^2*d>,< 3, 4, a^4*b^2*c^2*d^2>,< 3, 4, a^8*b*c^4*d>,< 4, 9, a^3>,< 4, 9, a^9>,< 4, 27, a^3*c^5>,< 4, 27, a^9*c^5>,< 6, 1, a^2>,< 6, 1, a^10>,< 6, 2, a^6*c^2>,< 6, 2, a^6*b>,< 6, 2, a^6*b*c^2>,< 6, 2, a^6*b*c^4>,< 6, 2, a^6*d^2>,< 6, 2, a^2*c^2>,< 6, 2, a^10*c^2>,< 6, 2, a^2*b>,< 6, 2, a^10*b>,< 6, 2, a^2*b*c^2>,< 6, 2, a^10*b*c^2>,< 6, 2, a^2*b*c^4>,< 6, 2, a^10*b*c^4>,< 6, 2, a^2*d^2>,< 6, 2, a^10*d>,< 6, 3, a^4*c^3>,< 6, 3, a^8*c^3>,< 6, 3, a^2*c^3>,< 6, 3, a^10*c^3>,< 6, 4, a^6*c^2*d>,< 6, 4, a^6*b*d>,< 6, 4, a^6*b*c^2*d>,< 6, 4, a^6*b*c^4*d>,< 6, 4, a^2*c^2*d>,< 6, 4, a^10*c^2*d>,< 6, 4, a^2*b*d>,< 6, 4, a^10*b*d>,< 6, 4, a^2*b*c^2*d>,< 6, 4, a^10*b*c^2*d>,< 6, 4, a^2*b*c^4*d>,< 6, 4, a^10*b*c^4*d>,< 6, 6, c>,< 6, 6, b*c>,< 6, 6, b^2*c>,< 6, 6, b*c^3>,< 6, 6, a^6*c>,< 6, 6, a^6*b*c>,< 6, 6, a^6*b^2*c>,< 6, 6, a^6*b*c^3>,< 6, 6, a^4*c>,< 6, 6, a^8*c>,< 6, 6, a^2*c>,< 6, 6, a^10*c>,< 6, 6, a^4*b*c>,< 6, 6, a^8*b*c>,< 6, 6, a^2*b*c>,< 6, 6, a^10*b*c>,< 6, 6, a^4*b^2*c>,< 6, 6, a^8*b^2*c>,< 6, 6, a^2*b^2*c>,< 6, 6, a^10*b^2*c>,< 6, 6, a^4*b*c^3>,< 6, 6, a^8*b*c^3>,< 6, 6, a^2*b*c^3>,< 6, 6, a^10*b*c^3>,< 12, 9, a>,< 12, 9, a^11>,< 12, 9, a^5>,< 12, 9, a^7>,< 12, 18, a^3*d>,< 12, 18, a^9*d>,< 12, 18, a*d>,< 12, 18, a^11*d>,< 12, 18, a^5*d>,< 12, 18, a^7*d>,< 12, 27, a*c^5>,< 12, 27, a^11*c^5>,< 12, 27, a^5*c^5>,< 12, 27, a^7*c^5>]); 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]; 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]; 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]; 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]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |1,1,1,1,K.1^-1,K.1,K.1,K.1,1,K.1^-1,K.1,K.1,K.1^-1,K.1^-1,1,1,K.1,1,K.1^-1,K.1^-1,1,1,K.1,K.1,K.1^-1,1,K.1^-1,1,K.1^-1,K.1^-1,K.1,K.1,1,1,1,1,1,K.1^-1,K.1,K.1^-1,1,K.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,K.1,K.1^-1,K.1^-1,K.1,K.1^-1,1,1,K.1,K.1^-1,K.1^-1,K.1,K.1,1,1,K.1^-1,K.1,1,K.1^-1,K.1^-1,K.1^-1,K.1^-1,K.1^-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^-1,K.1^-1,K.1,1,K.1,K.1^-1,K.1^-1,K.1,1,1,K.1,K.1^-1,K.1^-1,K.1,K.1^-1,K.1,K.1,K.1^-1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |1,1,1,1,K.1,K.1^-1,K.1^-1,K.1^-1,1,K.1,K.1^-1,K.1^-1,K.1,K.1,1,1,K.1^-1,1,K.1,K.1,1,1,K.1^-1,K.1^-1,K.1,1,K.1,1,K.1,K.1,K.1^-1,K.1^-1,1,1,1,1,1,K.1,K.1^-1,K.1,1,K.1^-1,1,1,1,K.1^-1,1,K.1,K.1^-1,K.1^-1,K.1,K.1,K.1^-1,K.1,K.1^-1,K.1,K.1,K.1^-1,K.1,1,1,K.1^-1,K.1,K.1,K.1^-1,K.1^-1,1,1,K.1,K.1^-1,1,K.1,K.1,K.1,K.1,K.1,K.1^-1,1,K.1^-1,K.1,K.1^-1,K.1^-1,1,K.1^-1,K.1^-1,1,1,1,1,K.1^-1,K.1,K.1,K.1^-1,1,K.1^-1,K.1,K.1,K.1^-1,1,1,K.1^-1,K.1,K.1,K.1^-1,K.1,K.1^-1,K.1^-1,K.1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(4: Sparse := true); S := [ K |1,-1,-1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,-1*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,-1,-1,-1,-1,-1,-1,1,1,-1,1,-1,1,-1,1,-1,1,1,1,-1,1,K.1,-1*K.1,K.1,-1*K.1,-1*K.1,K.1,K.1,-1*K.1,K.1,-1*K.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,-1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,K.1,-1*K.1,-1*K.1,K.1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,1,1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,1,1,-1,1,-1,-1,-1,-1,-1,-1,1,1,-1,1,-1,1,-1,1,-1,1,1,1,-1,1,-1*K.1,K.1,-1*K.1,K.1,K.1,-1*K.1,-1*K.1,K.1,-1*K.1,K.1,-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,-1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,-1*K.1,K.1,-1*K.1,K.1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,1,1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,1,-1,1,1,1,1,1,1,-1,-1,1,-1,1,-1,1,-1,1,-1,-1,-1,1,-1,K.1,-1*K.1,K.1,-1*K.1,-1*K.1,K.1,K.1,-1*K.1,K.1,-1*K.1,-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,-1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,K.1,-1*K.1,K.1,-1*K.1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,1,1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,1,-1,1,1,1,1,1,1,-1,-1,1,-1,1,-1,1,-1,1,-1,-1,-1,1,-1,-1*K.1,K.1,-1*K.1,K.1,K.1,-1*K.1,-1*K.1,K.1,-1*K.1,K.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(3: Sparse := true); S := [ K |1,1,-1,-1,K.1^-1,K.1,K.1,K.1,1,K.1^-1,K.1,K.1,K.1^-1,K.1^-1,1,1,K.1,1,K.1^-1,K.1^-1,1,1,K.1,K.1,K.1^-1,1,K.1^-1,1,K.1^-1,K.1^-1,K.1,K.1,1,-1,-1,1,1,K.1^-1,K.1,K.1^-1,1,K.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*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1,K.1^-1,1,1,K.1,K.1^-1,K.1^-1,K.1,K.1,1,1,K.1^-1,K.1,-1,-1*K.1^-1,-1*K.1^-1,-1*K.1^-1,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1,-1*K.1,-1*K.1^-1,-1*K.1,-1*K.1,-1,-1*K.1,-1*K.1,-1,-1,-1,-1,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1,-1,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1,K.1^-1,K.1,K.1,K.1^-1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |1,1,-1,-1,K.1,K.1^-1,K.1^-1,K.1^-1,1,K.1,K.1^-1,K.1^-1,K.1,K.1,1,1,K.1^-1,1,K.1,K.1,1,1,K.1^-1,K.1^-1,K.1,1,K.1,1,K.1,K.1,K.1^-1,K.1^-1,1,-1,-1,1,1,K.1,K.1^-1,K.1,1,K.1^-1,1,1,1,K.1^-1,1,K.1,K.1^-1,K.1^-1,K.1,K.1,K.1^-1,K.1,-1*K.1^-1,-1*K.1,-1*K.1,-1*K.1^-1,K.1,1,1,K.1^-1,K.1,K.1,K.1^-1,K.1^-1,1,1,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,-1,-1*K.1^-1,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1,-1*K.1^-1,-1*K.1^-1,-1,-1,-1,-1,-1*K.1^-1,-1*K.1,-1*K.1,-1*K.1^-1,-1,-1*K.1^-1,-1*K.1,-1*K.1,-1*K.1^-1,-1,-1,-1*K.1^-1,-1*K.1,-1*K.1,-1*K.1^-1,K.1,K.1^-1,K.1^-1,K.1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |1,1,-1,-1,K.1^-1,K.1,K.1,K.1,1,K.1^-1,K.1,K.1,K.1^-1,K.1^-1,1,1,K.1,1,K.1^-1,K.1^-1,1,1,K.1,K.1,K.1^-1,1,K.1^-1,1,K.1^-1,K.1^-1,K.1,K.1,1,1,1,-1,-1,K.1^-1,K.1,K.1^-1,1,K.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*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1,K.1^-1,1,1,K.1,K.1^-1,K.1^-1,K.1,K.1,1,1,K.1^-1,K.1,-1,-1*K.1^-1,-1*K.1^-1,-1*K.1^-1,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1,-1*K.1,-1*K.1^-1,-1*K.1,-1*K.1,-1,-1*K.1,-1*K.1,-1,-1,-1,-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.1,1,1,K.1,K.1^-1,K.1^-1,K.1,-1*K.1^-1,-1*K.1,-1*K.1,-1*K.1^-1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |1,1,-1,-1,K.1,K.1^-1,K.1^-1,K.1^-1,1,K.1,K.1^-1,K.1^-1,K.1,K.1,1,1,K.1^-1,1,K.1,K.1,1,1,K.1^-1,K.1^-1,K.1,1,K.1,1,K.1,K.1,K.1^-1,K.1^-1,1,1,1,-1,-1,K.1,K.1^-1,K.1,1,K.1^-1,1,1,1,K.1^-1,1,K.1,K.1^-1,K.1^-1,K.1,K.1,K.1^-1,K.1,-1*K.1^-1,-1*K.1,-1*K.1,-1*K.1^-1,K.1,1,1,K.1^-1,K.1,K.1,K.1^-1,K.1^-1,1,1,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,-1,-1*K.1^-1,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1,-1*K.1^-1,-1*K.1^-1,-1,-1,-1,-1,-1*K.1^-1,-1*K.1,-1*K.1,-1*K.1^-1,-1,K.1^-1,K.1,K.1,K.1^-1,1,1,K.1^-1,K.1,K.1,K.1^-1,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |1,1,1,1,K.1^-1,K.1,K.1,K.1,1,K.1^-1,K.1,K.1,K.1^-1,K.1^-1,1,1,K.1,1,K.1^-1,K.1^-1,1,1,K.1,K.1,K.1^-1,1,K.1^-1,1,K.1^-1,K.1^-1,K.1,K.1,1,-1,-1,-1,-1,K.1^-1,K.1,K.1^-1,1,K.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,K.1,K.1^-1,K.1^-1,K.1,K.1^-1,1,1,K.1,K.1^-1,K.1^-1,K.1,K.1,1,1,K.1^-1,K.1,1,K.1^-1,K.1^-1,K.1^-1,K.1^-1,K.1^-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^-1,K.1^-1,K.1,1,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1,-1,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1*K.1^-1,-1*K.1,-1*K.1,-1*K.1^-1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |1,1,1,1,K.1,K.1^-1,K.1^-1,K.1^-1,1,K.1,K.1^-1,K.1^-1,K.1,K.1,1,1,K.1^-1,1,K.1,K.1,1,1,K.1^-1,K.1^-1,K.1,1,K.1,1,K.1,K.1,K.1^-1,K.1^-1,1,-1,-1,-1,-1,K.1,K.1^-1,K.1,1,K.1^-1,1,1,1,K.1^-1,1,K.1,K.1^-1,K.1^-1,K.1,K.1,K.1^-1,K.1,K.1^-1,K.1,K.1,K.1^-1,K.1,1,1,K.1^-1,K.1,K.1,K.1^-1,K.1^-1,1,1,K.1,K.1^-1,1,K.1,K.1,K.1,K.1,K.1,K.1^-1,1,K.1^-1,K.1,K.1^-1,K.1^-1,1,K.1^-1,K.1^-1,1,1,1,1,K.1^-1,K.1,K.1,K.1^-1,1,-1*K.1^-1,-1*K.1,-1*K.1,-1*K.1^-1,-1,-1,-1*K.1^-1,-1*K.1,-1*K.1,-1*K.1^-1,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(12: Sparse := true); S := [ K |1,-1,-1,1,-1*K.1^2,K.1^4,K.1^4,K.1^4,1,-1*K.1^2,K.1^4,K.1^4,-1*K.1^2,-1*K.1^2,1,1,K.1^4,1,-1*K.1^2,-1*K.1^2,1,1,K.1^4,K.1^4,-1*K.1^2,1,-1*K.1^2,1,-1*K.1^2,-1*K.1^2,K.1^4,K.1^4,1,-1*K.1^3,K.1^3,K.1^3,-1*K.1^3,K.1^2,-1*K.1^4,K.1^2,-1,-1*K.1^4,-1,-1,-1,-1*K.1^4,-1,K.1^2,-1*K.1^4,-1*K.1^4,K.1^2,K.1^2,-1*K.1^4,K.1^2,K.1^4,-1*K.1^2,K.1^2,-1*K.1^4,K.1^2,-1,-1,-1*K.1^4,K.1^2,K.1^2,-1*K.1^4,-1*K.1^4,-1,-1,K.1^2,-1*K.1^4,1,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,K.1^2,-1*K.1^4,-1,-1*K.1^4,K.1^2,K.1^4,K.1^4,-1,K.1^4,-1*K.1^4,1,-1,1,-1,K.1^4,-1*K.1^2,-1*K.1^2,-1*K.1^4,1,-1*K.1,K.1^5,-1*K.1^5,K.1,-1*K.1^3,K.1^3,-1*K.1,K.1^5,-1*K.1^5,K.1,-1*K.1^5,K.1,-1*K.1,K.1^5]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(12: Sparse := true); S := [ K |1,-1,-1,1,K.1^4,-1*K.1^2,-1*K.1^2,-1*K.1^2,1,K.1^4,-1*K.1^2,-1*K.1^2,K.1^4,K.1^4,1,1,-1*K.1^2,1,K.1^4,K.1^4,1,1,-1*K.1^2,-1*K.1^2,K.1^4,1,K.1^4,1,K.1^4,K.1^4,-1*K.1^2,-1*K.1^2,1,K.1^3,-1*K.1^3,-1*K.1^3,K.1^3,-1*K.1^4,K.1^2,-1*K.1^4,-1,K.1^2,-1,-1,-1,K.1^2,-1,-1*K.1^4,K.1^2,K.1^2,-1*K.1^4,-1*K.1^4,K.1^2,-1*K.1^4,-1*K.1^2,K.1^4,-1*K.1^4,K.1^2,-1*K.1^4,-1,-1,K.1^2,-1*K.1^4,-1*K.1^4,K.1^2,K.1^2,-1,-1,-1*K.1^4,K.1^2,1,K.1^4,-1*K.1^4,K.1^4,-1*K.1^4,-1*K.1^4,K.1^2,-1,K.1^2,-1*K.1^4,-1*K.1^2,-1*K.1^2,-1,-1*K.1^2,K.1^2,1,-1,1,-1,-1*K.1^2,K.1^4,K.1^4,K.1^2,1,K.1^5,-1*K.1,K.1,-1*K.1^5,K.1^3,-1*K.1^3,K.1^5,-1*K.1,K.1,-1*K.1^5,K.1,-1*K.1^5,K.1^5,-1*K.1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(12: Sparse := true); S := [ K |1,-1,-1,1,-1*K.1^2,K.1^4,K.1^4,K.1^4,1,-1*K.1^2,K.1^4,K.1^4,-1*K.1^2,-1*K.1^2,1,1,K.1^4,1,-1*K.1^2,-1*K.1^2,1,1,K.1^4,K.1^4,-1*K.1^2,1,-1*K.1^2,1,-1*K.1^2,-1*K.1^2,K.1^4,K.1^4,1,K.1^3,-1*K.1^3,-1*K.1^3,K.1^3,K.1^2,-1*K.1^4,K.1^2,-1,-1*K.1^4,-1,-1,-1,-1*K.1^4,-1,K.1^2,-1*K.1^4,-1*K.1^4,K.1^2,K.1^2,-1*K.1^4,K.1^2,K.1^4,-1*K.1^2,K.1^2,-1*K.1^4,K.1^2,-1,-1,-1*K.1^4,K.1^2,K.1^2,-1*K.1^4,-1*K.1^4,-1,-1,K.1^2,-1*K.1^4,1,-1*K.1^2,K.1^2,-1*K.1^2,K.1^2,K.1^2,-1*K.1^4,-1,-1*K.1^4,K.1^2,K.1^4,K.1^4,-1,K.1^4,-1*K.1^4,1,-1,1,-1,K.1^4,-1*K.1^2,-1*K.1^2,-1*K.1^4,1,K.1,-1*K.1^5,K.1^5,-1*K.1,K.1^3,-1*K.1^3,K.1,-1*K.1^5,K.1^5,-1*K.1,K.1^5,-1*K.1,K.1,-1*K.1^5]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(12: Sparse := true); S := [ K |1,-1,-1,1,K.1^4,-1*K.1^2,-1*K.1^2,-1*K.1^2,1,K.1^4,-1*K.1^2,-1*K.1^2,K.1^4,K.1^4,1,1,-1*K.1^2,1,K.1^4,K.1^4,1,1,-1*K.1^2,-1*K.1^2,K.1^4,1,K.1^4,1,K.1^4,K.1^4,-1*K.1^2,-1*K.1^2,1,-1*K.1^3,K.1^3,K.1^3,-1*K.1^3,-1*K.1^4,K.1^2,-1*K.1^4,-1,K.1^2,-1,-1,-1,K.1^2,-1,-1*K.1^4,K.1^2,K.1^2,-1*K.1^4,-1*K.1^4,K.1^2,-1*K.1^4,-1*K.1^2,K.1^4,-1*K.1^4,K.1^2,-1*K.1^4,-1,-1,K.1^2,-1*K.1^4,-1*K.1^4,K.1^2,K.1^2,-1,-1,-1*K.1^4,K.1^2,1,K.1^4,-1*K.1^4,K.1^4,-1*K.1^4,-1*K.1^4,K.1^2,-1,K.1^2,-1*K.1^4,-1*K.1^2,-1*K.1^2,-1,-1*K.1^2,K.1^2,1,-1,1,-1,-1*K.1^2,K.1^4,K.1^4,K.1^2,1,-1*K.1^5,K.1,-1*K.1,K.1^5,-1*K.1^3,K.1^3,-1*K.1^5,K.1,-1*K.1,K.1^5,-1*K.1,K.1^5,-1*K.1^5,K.1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(12: Sparse := true); S := [ K |1,-1,1,-1,-1*K.1^2,K.1^4,K.1^4,K.1^4,1,-1*K.1^2,K.1^4,K.1^4,-1*K.1^2,-1*K.1^2,1,1,K.1^4,1,-1*K.1^2,-1*K.1^2,1,1,K.1^4,K.1^4,-1*K.1^2,1,-1*K.1^2,1,-1*K.1^2,-1*K.1^2,K.1^4,K.1^4,1,-1*K.1^3,K.1^3,-1*K.1^3,K.1^3,K.1^2,-1*K.1^4,K.1^2,-1,-1*K.1^4,-1,-1,-1,-1*K.1^4,-1,K.1^2,-1*K.1^4,-1*K.1^4,K.1^2,K.1^2,-1*K.1^4,K.1^2,-1*K.1^4,K.1^2,-1*K.1^2,K.1^4,K.1^2,-1,-1,-1*K.1^4,K.1^2,K.1^2,-1*K.1^4,-1*K.1^4,-1,-1,K.1^2,-1*K.1^4,-1,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,-1*K.1^2,K.1^4,1,K.1^4,-1*K.1^2,-1*K.1^4,-1*K.1^4,1,-1*K.1^4,K.1^4,-1,1,-1,1,-1*K.1^4,K.1^2,K.1^2,K.1^4,-1,-1*K.1,K.1^5,-1*K.1^5,K.1,-1*K.1^3,K.1^3,-1*K.1,K.1^5,-1*K.1^5,K.1,K.1^5,-1*K.1,K.1,-1*K.1^5]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(12: Sparse := true); S := [ K |1,-1,1,-1,K.1^4,-1*K.1^2,-1*K.1^2,-1*K.1^2,1,K.1^4,-1*K.1^2,-1*K.1^2,K.1^4,K.1^4,1,1,-1*K.1^2,1,K.1^4,K.1^4,1,1,-1*K.1^2,-1*K.1^2,K.1^4,1,K.1^4,1,K.1^4,K.1^4,-1*K.1^2,-1*K.1^2,1,K.1^3,-1*K.1^3,K.1^3,-1*K.1^3,-1*K.1^4,K.1^2,-1*K.1^4,-1,K.1^2,-1,-1,-1,K.1^2,-1,-1*K.1^4,K.1^2,K.1^2,-1*K.1^4,-1*K.1^4,K.1^2,-1*K.1^4,K.1^2,-1*K.1^4,K.1^4,-1*K.1^2,-1*K.1^4,-1,-1,K.1^2,-1*K.1^4,-1*K.1^4,K.1^2,K.1^2,-1,-1,-1*K.1^4,K.1^2,-1,-1*K.1^4,K.1^4,-1*K.1^4,K.1^4,K.1^4,-1*K.1^2,1,-1*K.1^2,K.1^4,K.1^2,K.1^2,1,K.1^2,-1*K.1^2,-1,1,-1,1,K.1^2,-1*K.1^4,-1*K.1^4,-1*K.1^2,-1,K.1^5,-1*K.1,K.1,-1*K.1^5,K.1^3,-1*K.1^3,K.1^5,-1*K.1,K.1,-1*K.1^5,-1*K.1,K.1^5,-1*K.1^5,K.1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(12: Sparse := true); S := [ K |1,-1,1,-1,-1*K.1^2,K.1^4,K.1^4,K.1^4,1,-1*K.1^2,K.1^4,K.1^4,-1*K.1^2,-1*K.1^2,1,1,K.1^4,1,-1*K.1^2,-1*K.1^2,1,1,K.1^4,K.1^4,-1*K.1^2,1,-1*K.1^2,1,-1*K.1^2,-1*K.1^2,K.1^4,K.1^4,1,K.1^3,-1*K.1^3,K.1^3,-1*K.1^3,K.1^2,-1*K.1^4,K.1^2,-1,-1*K.1^4,-1,-1,-1,-1*K.1^4,-1,K.1^2,-1*K.1^4,-1*K.1^4,K.1^2,K.1^2,-1*K.1^4,K.1^2,-1*K.1^4,K.1^2,-1*K.1^2,K.1^4,K.1^2,-1,-1,-1*K.1^4,K.1^2,K.1^2,-1*K.1^4,-1*K.1^4,-1,-1,K.1^2,-1*K.1^4,-1,K.1^2,-1*K.1^2,K.1^2,-1*K.1^2,-1*K.1^2,K.1^4,1,K.1^4,-1*K.1^2,-1*K.1^4,-1*K.1^4,1,-1*K.1^4,K.1^4,-1,1,-1,1,-1*K.1^4,K.1^2,K.1^2,K.1^4,-1,K.1,-1*K.1^5,K.1^5,-1*K.1,K.1^3,-1*K.1^3,K.1,-1*K.1^5,K.1^5,-1*K.1,-1*K.1^5,K.1,-1*K.1,K.1^5]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(12: Sparse := true); S := [ K |1,-1,1,-1,K.1^4,-1*K.1^2,-1*K.1^2,-1*K.1^2,1,K.1^4,-1*K.1^2,-1*K.1^2,K.1^4,K.1^4,1,1,-1*K.1^2,1,K.1^4,K.1^4,1,1,-1*K.1^2,-1*K.1^2,K.1^4,1,K.1^4,1,K.1^4,K.1^4,-1*K.1^2,-1*K.1^2,1,-1*K.1^3,K.1^3,-1*K.1^3,K.1^3,-1*K.1^4,K.1^2,-1*K.1^4,-1,K.1^2,-1,-1,-1,K.1^2,-1,-1*K.1^4,K.1^2,K.1^2,-1*K.1^4,-1*K.1^4,K.1^2,-1*K.1^4,K.1^2,-1*K.1^4,K.1^4,-1*K.1^2,-1*K.1^4,-1,-1,K.1^2,-1*K.1^4,-1*K.1^4,K.1^2,K.1^2,-1,-1,-1*K.1^4,K.1^2,-1,-1*K.1^4,K.1^4,-1*K.1^4,K.1^4,K.1^4,-1*K.1^2,1,-1*K.1^2,K.1^4,K.1^2,K.1^2,1,K.1^2,-1*K.1^2,-1,1,-1,1,K.1^2,-1*K.1^4,-1*K.1^4,-1*K.1^2,-1,-1*K.1^5,K.1,-1*K.1,K.1^5,-1*K.1^3,K.1^3,-1*K.1^5,K.1,-1*K.1,K.1^5,K.1,-1*K.1^5,K.1^5,-1*K.1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; x := CR!\[2, 2, 0, 0, 2, 2, 2, -1, 2, 2, 2, 2, -1, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 0, 0, 2, 2, 2, 2, -1, 2, 2, 2, 2, -1, 2, 2, 2, -1, 2, 2, 2, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[2, 2, 2, 2, 2, 2, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, 2, 2, -1, 2, 2, -1, -1, 2, -1, 2, 2, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 2, 2, -1, 2, 2, -1, -1, -1, -1, 2, 2, -1, 2, 2, -1, -1, -1, 2, 2, 2, 2, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, 2, -1, -1, 2, -1, -1, -1, 2, 2, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[2, 2, 2, 2, 2, 2, -1, 2, -1, -1, 2, -1, 2, 2, 2, -1, -1, -1, -1, -1, 2, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, 0, 0, 0, 0, 2, 2, 2, -1, 2, -1, -1, 2, 2, 2, -1, -1, -1, 2, -1, -1, -1, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[2, 2, 2, 2, 2, 2, -1, 2, 2, 2, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, 2, -1, 0, 0, 0, 0, 2, 2, -1, -1, 2, -1, 2, -1, -1, 2, -1, -1, -1, 2, 2, 2, -1, 2, 2, 2, 2, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, 2, -1, 2, -1, 2, 2, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, 2, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, 0, 0, 0, 0, 2, 2, -1, -1, 2, 2, -1, -1, -1, 2, -1, 2, -1, 2, -1, -1, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, 2, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, 2, 2, -1, -1, -1, 2, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[2, 2, -2, -2, 2, 2, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, 2, 2, -1, 2, 2, -1, -1, 2, -1, 2, 2, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 2, 2, -1, 2, 2, -1, -1, -1, -1, 2, 2, -1, 2, 2, -1, -1, -1, -2, -2, -2, -2, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, 2, 1, 1, 1, 1, 1, 1, 1, 1, -2, -2, 1, 1, -2, 1, 1, -2, 1, 1, 1, -2, -2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[2, 2, -2, -2, 2, 2, -1, 2, -1, -1, 2, -1, 2, 2, 2, -1, -1, -1, -1, -1, 2, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, 0, 0, 0, 0, 2, 2, 2, -1, 2, -1, -1, 2, 2, 2, -1, -1, -1, 2, -1, -1, -1, -2, -2, -2, -2, 2, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, 1, -2, 1, 1, -2, 1, -2, 1, 1, 1, -2, 1, 1, 1, 1, 1, 1, 1, -2, 1, 1, 1, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[2, 2, -2, -2, 2, 2, -1, 2, 2, 2, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, 2, -1, 0, 0, 0, 0, 2, 2, -1, -1, 2, -1, 2, -1, -1, 2, -1, -1, -1, 2, 2, 2, -1, -2, -2, -2, -2, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, 2, -1, -2, 1, -2, -2, 1, 1, 1, -2, 1, 1, 1, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[2, 2, -2, -2, 2, 2, 2, 2, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, 2, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, 0, 0, 0, 0, 2, 2, -1, -1, 2, 2, -1, -1, -1, 2, -1, 2, -1, 2, -1, -1, 2, -2, -2, -2, -2, -1, -1, -1, -1, -1, 2, -1, 2, -1, 2, -1, -1, 1, 1, 1, 1, 1, -2, 1, 1, 1, 1, 1, 1, 1, -2, -2, 1, -2, -2, 1, 1, 1, -2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[2, 2, 0, 0, 2, 2, 2, -1, 2, 2, 2, 2, -1, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -2, -2, 0, 0, 2, 2, 2, 2, -1, 2, 2, 2, 2, -1, 2, 2, 2, -1, 2, 2, 2, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[2, -2, -2, 2, 2, 2, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, 2, 2, -1, 2, 2, -1, -1, 2, -1, 2, 2, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, -2, -2, 1, -2, -2, 1, 1, 1, 1, -2, -2, 1, -2, -2, 1, 1, 1, 2, 2, -2, -2, 1, 1, -2, 1, -2, 1, 1, 1, 1, 1, 1, -2, -1, -1, 1, -1, 1, 1, 1, 1, -2, -2, -1, -1, -2, -1, 1, 2, 1, -1, 1, 2, 2, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := -1; x`IsIrreducible := true; x := CR!\[2, -2, -2, 2, 2, 2, -1, 2, -1, -1, 2, -1, 2, 2, 2, -1, -1, -1, -1, -1, 2, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, 0, 0, 0, 0, -2, -2, -2, 1, -2, 1, 1, -2, -2, -2, 1, 1, 1, -2, 1, 1, 1, 2, 2, -2, -2, -2, -2, 1, 1, 1, 1, -2, 1, 1, 1, 1, 1, -1, 2, 1, -1, -2, 1, -2, 1, 1, 1, 2, -1, 1, -1, 1, -1, 1, -1, -2, -1, -1, -1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := -1; x`IsIrreducible := true; x := CR!\[2, -2, -2, 2, 2, 2, -1, 2, 2, 2, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, 2, -1, 0, 0, 0, 0, -2, -2, 1, 1, -2, 1, -2, 1, 1, -2, 1, 1, 1, -2, -2, -2, 1, 2, 2, -2, -2, 1, 1, 1, -2, 1, 1, 1, 1, -2, 1, -2, 1, 2, -1, -2, 2, 1, 1, 1, -2, 1, 1, -1, 2, 1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := -1; x`IsIrreducible := true; x := CR!\[2, -2, -2, 2, 2, 2, 2, 2, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, 2, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, 0, 0, 0, 0, -2, -2, 1, 1, -2, -2, 1, 1, 1, -2, 1, -2, 1, -2, 1, 1, -2, 2, 2, -2, -2, 1, 1, 1, 1, 1, -2, 1, -2, 1, -2, 1, 1, -1, -1, 1, -1, 1, -2, 1, 1, 1, 1, -1, -1, 1, 2, -2, -1, -2, 2, 1, -1, -1, 2, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := -1; x`IsIrreducible := true; x := CR!\[2, -2, 2, -2, 2, 2, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, 2, 2, -1, 2, 2, -1, -1, 2, -1, 2, 2, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, -2, -2, 1, -2, -2, 1, 1, 1, 1, -2, -2, 1, -2, -2, 1, 1, 1, -2, -2, 2, 2, 1, 1, -2, 1, -2, 1, 1, 1, 1, 1, 1, -2, 1, 1, -1, 1, -1, -1, -1, -1, 2, 2, 1, 1, 2, 1, -1, -2, -1, 1, -1, -2, -2, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := -1; x`IsIrreducible := true; x := CR!\[2, -2, 2, -2, 2, 2, -1, 2, -1, -1, 2, -1, 2, 2, 2, -1, -1, -1, -1, -1, 2, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, 0, 0, 0, 0, -2, -2, -2, 1, -2, 1, 1, -2, -2, -2, 1, 1, 1, -2, 1, 1, 1, -2, -2, 2, 2, -2, -2, 1, 1, 1, 1, -2, 1, 1, 1, 1, 1, 1, -2, -1, 1, 2, -1, 2, -1, -1, -1, -2, 1, -1, 1, -1, 1, -1, 1, 2, 1, 1, 1, -1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := -1; x`IsIrreducible := true; x := CR!\[2, -2, 2, -2, 2, 2, -1, 2, 2, 2, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, 2, -1, 0, 0, 0, 0, -2, -2, 1, 1, -2, 1, -2, 1, 1, -2, 1, 1, 1, -2, -2, -2, 1, -2, -2, 2, 2, 1, 1, 1, -2, 1, 1, 1, 1, -2, 1, -2, 1, -2, 1, 2, -2, -1, -1, -1, 2, -1, -1, 1, -2, -1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := -1; x`IsIrreducible := true; x := CR!\[2, -2, 2, -2, 2, 2, 2, 2, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, 2, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, 0, 0, 0, 0, -2, -2, 1, 1, -2, -2, 1, 1, 1, -2, 1, -2, 1, -2, 1, 1, -2, -2, -2, 2, 2, 1, 1, 1, 1, 1, -2, 1, -2, 1, -2, 1, 1, 1, 1, -1, 1, -1, 2, -1, -1, -1, -1, 1, 1, -1, -2, 2, 1, 2, -2, -1, 1, 1, -2, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := -1; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |2,2,0,0,2*K.1^-1,2*K.1,2*K.1,-1*K.1,2,2*K.1^-1,2*K.1,2*K.1,-1*K.1^-1,2*K.1^-1,2,2,2*K.1,2,2*K.1^-1,2*K.1^-1,-1,-1,-1*K.1,-1*K.1,-1*K.1^-1,-1,-1*K.1^-1,-1,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1*K.1,-1,2,2,0,0,2*K.1^-1,2*K.1,2*K.1^-1,2,-1*K.1,2,2,2,2*K.1,-1,2*K.1^-1,2*K.1,2*K.1,-1*K.1^-1,2*K.1^-1,2*K.1,2*K.1^-1,0,0,0,0,-1*K.1^-1,-1,-1,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1*K.1,-1,-1,-1*K.1^-1,-1*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*K.1,2*K.1^-1,2*K.1^-1,2*K.1,-1,-1,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |2,2,0,0,2*K.1,2*K.1^-1,2*K.1^-1,-1*K.1^-1,2,2*K.1,2*K.1^-1,2*K.1^-1,-1*K.1,2*K.1,2,2,2*K.1^-1,2,2*K.1,2*K.1,-1,-1,-1*K.1^-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,-1,2,2,0,0,2*K.1,2*K.1^-1,2*K.1,2,-1*K.1^-1,2,2,2,2*K.1^-1,-1,2*K.1,2*K.1^-1,2*K.1^-1,-1*K.1,2*K.1,2*K.1^-1,2*K.1,0,0,0,0,-1*K.1,-1,-1,-1*K.1^-1,-1*K.1,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1,-1,-1*K.1,-1*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2*K.1^-1,2*K.1,2*K.1,2*K.1^-1,-1,-1,-1*K.1^-1,-1*K.1,-1*K.1,-1*K.1^-1,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |2,2,2,2,2*K.1^-1,2*K.1,2*K.1,2*K.1,-1,-1*K.1^-1,-1*K.1,-1*K.1,2*K.1^-1,-1*K.1^-1,-1,2,-1*K.1,-1,2*K.1^-1,-1*K.1^-1,2,2,-1*K.1,-1*K.1,-1*K.1^-1,-1,-1*K.1^-1,-1,-1*K.1^-1,2*K.1^-1,2*K.1,-1*K.1,-1,0,0,0,0,2*K.1^-1,2*K.1,-1*K.1^-1,-1,2*K.1,2,-1,-1,-1*K.1,2,-1*K.1^-1,2*K.1,-1*K.1,2*K.1^-1,-1*K.1^-1,-1*K.1,2*K.1^-1,2*K.1,2*K.1^-1,2*K.1^-1,2*K.1,-1*K.1^-1,-1,-1,-1*K.1,-1*K.1^-1,2*K.1^-1,-1*K.1,2*K.1,-1,2,-1*K.1^-1,-1*K.1,-1,-1*K.1^-1,-1*K.1^-1,-1*K.1^-1,-1*K.1^-1,2*K.1^-1,-1*K.1,-1,-1*K.1,-1*K.1^-1,-1*K.1,-1*K.1,-1,2*K.1,2*K.1,-1,2,2,-1,-1*K.1,-1*K.1^-1,2*K.1^-1,-1*K.1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |2,2,2,2,2*K.1,2*K.1^-1,2*K.1^-1,2*K.1^-1,-1,-1*K.1,-1*K.1^-1,-1*K.1^-1,2*K.1,-1*K.1,-1,2,-1*K.1^-1,-1,2*K.1,-1*K.1,2,2,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1,-1*K.1,-1,-1*K.1,2*K.1,2*K.1^-1,-1*K.1^-1,-1,0,0,0,0,2*K.1,2*K.1^-1,-1*K.1,-1,2*K.1^-1,2,-1,-1,-1*K.1^-1,2,-1*K.1,2*K.1^-1,-1*K.1^-1,2*K.1,-1*K.1,-1*K.1^-1,2*K.1,2*K.1^-1,2*K.1,2*K.1,2*K.1^-1,-1*K.1,-1,-1,-1*K.1^-1,-1*K.1,2*K.1,-1*K.1^-1,2*K.1^-1,-1,2,-1*K.1,-1*K.1^-1,-1,-1*K.1,-1*K.1,-1*K.1,-1*K.1,2*K.1,-1*K.1^-1,-1,-1*K.1^-1,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1,2*K.1^-1,2*K.1^-1,-1,2,2,-1,-1*K.1^-1,-1*K.1,2*K.1,-1*K.1^-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |2,2,2,2,2*K.1^-1,2*K.1,-1*K.1,2*K.1,-1,-1*K.1^-1,2*K.1,-1*K.1,2*K.1^-1,2*K.1^-1,2,-1,-1*K.1,-1,-1*K.1^-1,-1*K.1^-1,2,-1,2*K.1,-1*K.1,2*K.1^-1,-1,-1*K.1^-1,-1,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1*K.1,2,0,0,0,0,2*K.1^-1,2*K.1,2*K.1^-1,-1,2*K.1,-1,-1,2,2*K.1,2,-1*K.1^-1,-1*K.1,-1*K.1,2*K.1^-1,-1*K.1^-1,-1*K.1,-1*K.1^-1,2*K.1,2*K.1^-1,2*K.1^-1,2*K.1,2*K.1^-1,2,-1,-1*K.1,-1*K.1^-1,-1*K.1^-1,2*K.1,-1*K.1,-1,-1,-1*K.1^-1,-1*K.1,-1,2*K.1^-1,-1*K.1^-1,-1*K.1^-1,2*K.1^-1,-1*K.1^-1,2*K.1,-1,-1*K.1,-1*K.1^-1,2*K.1,-1*K.1,-1,-1*K.1,-1*K.1,-1,-1,-1,2,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |2,2,2,2,2*K.1,2*K.1^-1,-1*K.1^-1,2*K.1^-1,-1,-1*K.1,2*K.1^-1,-1*K.1^-1,2*K.1,2*K.1,2,-1,-1*K.1^-1,-1,-1*K.1,-1*K.1,2,-1,2*K.1^-1,-1*K.1^-1,2*K.1,-1,-1*K.1,-1,-1*K.1,-1*K.1,-1*K.1^-1,-1*K.1^-1,2,0,0,0,0,2*K.1,2*K.1^-1,2*K.1,-1,2*K.1^-1,-1,-1,2,2*K.1^-1,2,-1*K.1,-1*K.1^-1,-1*K.1^-1,2*K.1,-1*K.1,-1*K.1^-1,-1*K.1,2*K.1^-1,2*K.1,2*K.1,2*K.1^-1,2*K.1,2,-1,-1*K.1^-1,-1*K.1,-1*K.1,2*K.1^-1,-1*K.1^-1,-1,-1,-1*K.1,-1*K.1^-1,-1,2*K.1,-1*K.1,-1*K.1,2*K.1,-1*K.1,2*K.1^-1,-1,-1*K.1^-1,-1*K.1,2*K.1^-1,-1*K.1^-1,-1,-1*K.1^-1,-1*K.1^-1,-1,-1,-1,2,-1*K.1^-1,-1*K.1,-1*K.1,-1*K.1^-1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |2,2,2,2,2*K.1^-1,2*K.1,-1*K.1,2*K.1,-1,-1*K.1^-1,-1*K.1,-1*K.1,2*K.1^-1,-1*K.1^-1,-1,-1,2*K.1,2,-1*K.1^-1,2*K.1^-1,2,-1,-1*K.1,2*K.1,-1*K.1^-1,2,2*K.1^-1,-1,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1*K.1,-1,0,0,0,0,2*K.1^-1,2*K.1,-1*K.1^-1,2,2*K.1,-1,-1,-1,-1*K.1,2,2*K.1^-1,-1*K.1,2*K.1,2*K.1^-1,-1*K.1^-1,-1*K.1,-1*K.1^-1,2*K.1,2*K.1^-1,2*K.1^-1,2*K.1,-1*K.1^-1,-1,2,-1*K.1,2*K.1^-1,-1*K.1^-1,-1*K.1,-1*K.1,-1,-1,-1*K.1^-1,2*K.1,-1,-1*K.1^-1,-1*K.1^-1,-1*K.1^-1,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1,2*K.1,2*K.1^-1,-1*K.1,-1*K.1,2,-1*K.1,-1*K.1,2,-1,-1,-1,2*K.1,2*K.1^-1,-1*K.1^-1,-1*K.1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |2,2,2,2,2*K.1,2*K.1^-1,-1*K.1^-1,2*K.1^-1,-1,-1*K.1,-1*K.1^-1,-1*K.1^-1,2*K.1,-1*K.1,-1,-1,2*K.1^-1,2,-1*K.1,2*K.1,2,-1,-1*K.1^-1,2*K.1^-1,-1*K.1,2,2*K.1,-1,-1*K.1,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1,0,0,0,0,2*K.1,2*K.1^-1,-1*K.1,2,2*K.1^-1,-1,-1,-1,-1*K.1^-1,2,2*K.1,-1*K.1^-1,2*K.1^-1,2*K.1,-1*K.1,-1*K.1^-1,-1*K.1,2*K.1^-1,2*K.1,2*K.1,2*K.1^-1,-1*K.1,-1,2,-1*K.1^-1,2*K.1,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1,-1,-1*K.1,2*K.1^-1,-1,-1*K.1,-1*K.1,-1*K.1,-1*K.1,-1*K.1,-1*K.1^-1,-1,2*K.1^-1,2*K.1,-1*K.1^-1,-1*K.1^-1,2,-1*K.1^-1,-1*K.1^-1,2,-1,-1,-1,2*K.1^-1,2*K.1,-1*K.1,-1*K.1^-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |2,2,2,2,2*K.1^-1,2*K.1,-1*K.1,2*K.1,2,2*K.1^-1,-1*K.1,2*K.1,2*K.1^-1,-1*K.1^-1,-1,-1,-1*K.1,-1,-1*K.1^-1,-1*K.1^-1,2,-1,-1*K.1,-1*K.1,-1*K.1^-1,-1,-1*K.1^-1,2,2*K.1^-1,-1*K.1^-1,-1*K.1,2*K.1,-1,0,0,0,0,2*K.1^-1,2*K.1,-1*K.1^-1,-1,2*K.1,-1,2,-1,-1*K.1,2,-1*K.1^-1,-1*K.1,-1*K.1,2*K.1^-1,2*K.1^-1,2*K.1,-1*K.1^-1,2*K.1,2*K.1^-1,2*K.1^-1,2*K.1,-1*K.1^-1,-1,-1,2*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1*K.1,2,-1,2*K.1^-1,-1*K.1,2,-1*K.1^-1,2*K.1^-1,2*K.1^-1,-1*K.1^-1,-1*K.1^-1,-1*K.1,2,-1*K.1,-1*K.1^-1,-1*K.1,2*K.1,-1,-1*K.1,-1*K.1,-1,-1,-1,-1,-1*K.1,-1*K.1^-1,-1*K.1^-1,2*K.1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |2,2,2,2,2*K.1,2*K.1^-1,-1*K.1^-1,2*K.1^-1,2,2*K.1,-1*K.1^-1,2*K.1^-1,2*K.1,-1*K.1,-1,-1,-1*K.1^-1,-1,-1*K.1,-1*K.1,2,-1,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1,-1*K.1,2,2*K.1,-1*K.1,-1*K.1^-1,2*K.1^-1,-1,0,0,0,0,2*K.1,2*K.1^-1,-1*K.1,-1,2*K.1^-1,-1,2,-1,-1*K.1^-1,2,-1*K.1,-1*K.1^-1,-1*K.1^-1,2*K.1,2*K.1,2*K.1^-1,-1*K.1,2*K.1^-1,2*K.1,2*K.1,2*K.1^-1,-1*K.1,-1,-1,2*K.1^-1,-1*K.1,-1*K.1,-1*K.1^-1,-1*K.1^-1,2,-1,2*K.1,-1*K.1^-1,2,-1*K.1,2*K.1,2*K.1,-1*K.1,-1*K.1,-1*K.1^-1,2,-1*K.1^-1,-1*K.1,-1*K.1^-1,2*K.1^-1,-1,-1*K.1^-1,-1*K.1^-1,-1,-1,-1,-1,-1*K.1^-1,-1*K.1,-1*K.1,2*K.1^-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(4: Sparse := true); S := [ K |2,-2,0,0,2,2,2,-1,2,2,2,2,-1,2,2,2,2,2,2,2,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-2*K.1,2*K.1,0,0,-2,-2,-2,-2,1,-2,-2,-2,-2,1,-2,-2,-2,1,-2,-2,-2,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2*K.1,-2*K.1,2*K.1,-2*K.1,K.1,-1*K.1,-1*K.1,K.1,-1*K.1,K.1,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(4: Sparse := true); S := [ K |2,-2,0,0,2,2,2,-1,2,2,2,2,-1,2,2,2,2,2,2,2,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,2*K.1,-2*K.1,0,0,-2,-2,-2,-2,1,-2,-2,-2,-2,1,-2,-2,-2,1,-2,-2,-2,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2*K.1,2*K.1,-2*K.1,2*K.1,-1*K.1,K.1,K.1,-1*K.1,K.1,-1*K.1,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |2,2,-2,-2,2*K.1^-1,2*K.1,2*K.1,2*K.1,-1,-1*K.1^-1,-1*K.1,-1*K.1,2*K.1^-1,-1*K.1^-1,-1,2,-1*K.1,-1,2*K.1^-1,-1*K.1^-1,2,2,-1*K.1,-1*K.1,-1*K.1^-1,-1,-1*K.1^-1,-1,-1*K.1^-1,2*K.1^-1,2*K.1,-1*K.1,-1,0,0,0,0,2*K.1^-1,2*K.1,-1*K.1^-1,-1,2*K.1,2,-1,-1,-1*K.1,2,-1*K.1^-1,2*K.1,-1*K.1,2*K.1^-1,-1*K.1^-1,-1*K.1,2*K.1^-1,-2*K.1,-2*K.1^-1,-2*K.1^-1,-2*K.1,-1*K.1^-1,-1,-1,-1*K.1,-1*K.1^-1,2*K.1^-1,-1*K.1,2*K.1,-1,2,-1*K.1^-1,-1*K.1,1,K.1^-1,K.1^-1,K.1^-1,K.1^-1,-2*K.1^-1,K.1,1,K.1,K.1^-1,K.1,K.1,1,-2*K.1,-2*K.1,1,-2,-2,1,K.1,K.1^-1,-2*K.1^-1,K.1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |2,2,-2,-2,2*K.1,2*K.1^-1,2*K.1^-1,2*K.1^-1,-1,-1*K.1,-1*K.1^-1,-1*K.1^-1,2*K.1,-1*K.1,-1,2,-1*K.1^-1,-1,2*K.1,-1*K.1,2,2,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1,-1*K.1,-1,-1*K.1,2*K.1,2*K.1^-1,-1*K.1^-1,-1,0,0,0,0,2*K.1,2*K.1^-1,-1*K.1,-1,2*K.1^-1,2,-1,-1,-1*K.1^-1,2,-1*K.1,2*K.1^-1,-1*K.1^-1,2*K.1,-1*K.1,-1*K.1^-1,2*K.1,-2*K.1^-1,-2*K.1,-2*K.1,-2*K.1^-1,-1*K.1,-1,-1,-1*K.1^-1,-1*K.1,2*K.1,-1*K.1^-1,2*K.1^-1,-1,2,-1*K.1,-1*K.1^-1,1,K.1,K.1,K.1,K.1,-2*K.1,K.1^-1,1,K.1^-1,K.1,K.1^-1,K.1^-1,1,-2*K.1^-1,-2*K.1^-1,1,-2,-2,1,K.1^-1,K.1,-2*K.1,K.1^-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |2,2,-2,-2,2*K.1^-1,2*K.1,-1*K.1,2*K.1,-1,-1*K.1^-1,2*K.1,-1*K.1,2*K.1^-1,2*K.1^-1,2,-1,-1*K.1,-1,-1*K.1^-1,-1*K.1^-1,2,-1,2*K.1,-1*K.1,2*K.1^-1,-1,-1*K.1^-1,-1,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1*K.1,2,0,0,0,0,2*K.1^-1,2*K.1,2*K.1^-1,-1,2*K.1,-1,-1,2,2*K.1,2,-1*K.1^-1,-1*K.1,-1*K.1,2*K.1^-1,-1*K.1^-1,-1*K.1,-1*K.1^-1,-2*K.1,-2*K.1^-1,-2*K.1^-1,-2*K.1,2*K.1^-1,2,-1,-1*K.1,-1*K.1^-1,-1*K.1^-1,2*K.1,-1*K.1,-1,-1,-1*K.1^-1,-1*K.1,1,-2*K.1^-1,K.1^-1,K.1^-1,-2*K.1^-1,K.1^-1,-2*K.1,1,K.1,K.1^-1,-2*K.1,K.1,1,K.1,K.1,1,1,1,-2,K.1,K.1^-1,K.1^-1,K.1,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |2,2,-2,-2,2*K.1,2*K.1^-1,-1*K.1^-1,2*K.1^-1,-1,-1*K.1,2*K.1^-1,-1*K.1^-1,2*K.1,2*K.1,2,-1,-1*K.1^-1,-1,-1*K.1,-1*K.1,2,-1,2*K.1^-1,-1*K.1^-1,2*K.1,-1,-1*K.1,-1,-1*K.1,-1*K.1,-1*K.1^-1,-1*K.1^-1,2,0,0,0,0,2*K.1,2*K.1^-1,2*K.1,-1,2*K.1^-1,-1,-1,2,2*K.1^-1,2,-1*K.1,-1*K.1^-1,-1*K.1^-1,2*K.1,-1*K.1,-1*K.1^-1,-1*K.1,-2*K.1^-1,-2*K.1,-2*K.1,-2*K.1^-1,2*K.1,2,-1,-1*K.1^-1,-1*K.1,-1*K.1,2*K.1^-1,-1*K.1^-1,-1,-1,-1*K.1,-1*K.1^-1,1,-2*K.1,K.1,K.1,-2*K.1,K.1,-2*K.1^-1,1,K.1^-1,K.1,-2*K.1^-1,K.1^-1,1,K.1^-1,K.1^-1,1,1,1,-2,K.1^-1,K.1,K.1,K.1^-1,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |2,2,-2,-2,2*K.1^-1,2*K.1,-1*K.1,2*K.1,-1,-1*K.1^-1,-1*K.1,-1*K.1,2*K.1^-1,-1*K.1^-1,-1,-1,2*K.1,2,-1*K.1^-1,2*K.1^-1,2,-1,-1*K.1,2*K.1,-1*K.1^-1,2,2*K.1^-1,-1,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1*K.1,-1,0,0,0,0,2*K.1^-1,2*K.1,-1*K.1^-1,2,2*K.1,-1,-1,-1,-1*K.1,2,2*K.1^-1,-1*K.1,2*K.1,2*K.1^-1,-1*K.1^-1,-1*K.1,-1*K.1^-1,-2*K.1,-2*K.1^-1,-2*K.1^-1,-2*K.1,-1*K.1^-1,-1,2,-1*K.1,2*K.1^-1,-1*K.1^-1,-1*K.1,-1*K.1,-1,-1,-1*K.1^-1,2*K.1,1,K.1^-1,K.1^-1,K.1^-1,K.1^-1,K.1^-1,K.1,1,-2*K.1,-2*K.1^-1,K.1,K.1,-2,K.1,K.1,-2,1,1,1,-2*K.1,-2*K.1^-1,K.1^-1,K.1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |2,2,-2,-2,2*K.1,2*K.1^-1,-1*K.1^-1,2*K.1^-1,-1,-1*K.1,-1*K.1^-1,-1*K.1^-1,2*K.1,-1*K.1,-1,-1,2*K.1^-1,2,-1*K.1,2*K.1,2,-1,-1*K.1^-1,2*K.1^-1,-1*K.1,2,2*K.1,-1,-1*K.1,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1,0,0,0,0,2*K.1,2*K.1^-1,-1*K.1,2,2*K.1^-1,-1,-1,-1,-1*K.1^-1,2,2*K.1,-1*K.1^-1,2*K.1^-1,2*K.1,-1*K.1,-1*K.1^-1,-1*K.1,-2*K.1^-1,-2*K.1,-2*K.1,-2*K.1^-1,-1*K.1,-1,2,-1*K.1^-1,2*K.1,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1,-1,-1*K.1,2*K.1^-1,1,K.1,K.1,K.1,K.1,K.1,K.1^-1,1,-2*K.1^-1,-2*K.1,K.1^-1,K.1^-1,-2,K.1^-1,K.1^-1,-2,1,1,1,-2*K.1^-1,-2*K.1,K.1,K.1^-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |2,2,-2,-2,2*K.1^-1,2*K.1,-1*K.1,2*K.1,2,2*K.1^-1,-1*K.1,2*K.1,2*K.1^-1,-1*K.1^-1,-1,-1,-1*K.1,-1,-1*K.1^-1,-1*K.1^-1,2,-1,-1*K.1,-1*K.1,-1*K.1^-1,-1,-1*K.1^-1,2,2*K.1^-1,-1*K.1^-1,-1*K.1,2*K.1,-1,0,0,0,0,2*K.1^-1,2*K.1,-1*K.1^-1,-1,2*K.1,-1,2,-1,-1*K.1,2,-1*K.1^-1,-1*K.1,-1*K.1,2*K.1^-1,2*K.1^-1,2*K.1,-1*K.1^-1,-2*K.1,-2*K.1^-1,-2*K.1^-1,-2*K.1,-1*K.1^-1,-1,-1,2*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1*K.1,2,-1,2*K.1^-1,-1*K.1,-2,K.1^-1,-2*K.1^-1,-2*K.1^-1,K.1^-1,K.1^-1,K.1,-2,K.1,K.1^-1,K.1,-2*K.1,1,K.1,K.1,1,1,1,1,K.1,K.1^-1,K.1^-1,-2*K.1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |2,2,-2,-2,2*K.1,2*K.1^-1,-1*K.1^-1,2*K.1^-1,2,2*K.1,-1*K.1^-1,2*K.1^-1,2*K.1,-1*K.1,-1,-1,-1*K.1^-1,-1,-1*K.1,-1*K.1,2,-1,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1,-1*K.1,2,2*K.1,-1*K.1,-1*K.1^-1,2*K.1^-1,-1,0,0,0,0,2*K.1,2*K.1^-1,-1*K.1,-1,2*K.1^-1,-1,2,-1,-1*K.1^-1,2,-1*K.1,-1*K.1^-1,-1*K.1^-1,2*K.1,2*K.1,2*K.1^-1,-1*K.1,-2*K.1^-1,-2*K.1,-2*K.1,-2*K.1^-1,-1*K.1,-1,-1,2*K.1^-1,-1*K.1,-1*K.1,-1*K.1^-1,-1*K.1^-1,2,-1,2*K.1,-1*K.1^-1,-2,K.1,-2*K.1,-2*K.1,K.1,K.1,K.1^-1,-2,K.1^-1,K.1,K.1^-1,-2*K.1^-1,1,K.1^-1,K.1^-1,1,1,1,1,K.1^-1,K.1,K.1,-2*K.1^-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |2,2,0,0,2*K.1^-1,2*K.1,2*K.1,-1*K.1,2,2*K.1^-1,2*K.1,2*K.1,-1*K.1^-1,2*K.1^-1,2,2,2*K.1,2,2*K.1^-1,2*K.1^-1,-1,-1,-1*K.1,-1*K.1,-1*K.1^-1,-1,-1*K.1^-1,-1,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1*K.1,-1,-2,-2,0,0,2*K.1^-1,2*K.1,2*K.1^-1,2,-1*K.1,2,2,2,2*K.1,-1,2*K.1^-1,2*K.1,2*K.1,-1*K.1^-1,2*K.1^-1,2*K.1,2*K.1^-1,0,0,0,0,-1*K.1^-1,-1,-1,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1*K.1,-1,-1,-1*K.1^-1,-1*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*K.1,-2*K.1^-1,-2*K.1^-1,-2*K.1,1,1,K.1,K.1^-1,K.1^-1,K.1,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |2,2,0,0,2*K.1,2*K.1^-1,2*K.1^-1,-1*K.1^-1,2,2*K.1,2*K.1^-1,2*K.1^-1,-1*K.1,2*K.1,2,2,2*K.1^-1,2,2*K.1,2*K.1,-1,-1,-1*K.1^-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,-2,-2,0,0,2*K.1,2*K.1^-1,2*K.1,2,-1*K.1^-1,2,2,2,2*K.1^-1,-1,2*K.1,2*K.1^-1,2*K.1^-1,-1*K.1,2*K.1,2*K.1^-1,2*K.1,0,0,0,0,-1*K.1,-1,-1,-1*K.1^-1,-1*K.1,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1,-1,-1*K.1,-1*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,-2*K.1^-1,-2*K.1,-2*K.1,-2*K.1^-1,1,1,K.1^-1,K.1,K.1,K.1^-1,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |2,-2,-2,2,2*K.1^-1,2*K.1,2*K.1,2*K.1,-1,-1*K.1^-1,-1*K.1,-1*K.1,2*K.1^-1,-1*K.1^-1,-1,2,-1*K.1,-1,2*K.1^-1,-1*K.1^-1,2,2,-1*K.1,-1*K.1,-1*K.1^-1,-1,-1*K.1^-1,-1,-1*K.1^-1,2*K.1^-1,2*K.1,-1*K.1,-1,0,0,0,0,-2*K.1^-1,-2*K.1,K.1^-1,1,-2*K.1,-2,1,1,K.1,-2,K.1^-1,-2*K.1,K.1,-2*K.1^-1,K.1^-1,K.1,-2*K.1^-1,2*K.1,2*K.1^-1,-2*K.1^-1,-2*K.1,K.1^-1,1,1,K.1,K.1^-1,-2*K.1^-1,K.1,-2*K.1,1,-2,K.1^-1,K.1,-1,-1*K.1^-1,K.1^-1,-1*K.1^-1,K.1^-1,-2*K.1^-1,K.1,1,K.1,K.1^-1,-1*K.1,-1*K.1,1,2*K.1,-2*K.1,-1,-2,2,1,-1*K.1,-1*K.1^-1,2*K.1^-1,K.1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |2,-2,-2,2,2*K.1,2*K.1^-1,2*K.1^-1,2*K.1^-1,-1,-1*K.1,-1*K.1^-1,-1*K.1^-1,2*K.1,-1*K.1,-1,2,-1*K.1^-1,-1,2*K.1,-1*K.1,2,2,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1,-1*K.1,-1,-1*K.1,2*K.1,2*K.1^-1,-1*K.1^-1,-1,0,0,0,0,-2*K.1,-2*K.1^-1,K.1,1,-2*K.1^-1,-2,1,1,K.1^-1,-2,K.1,-2*K.1^-1,K.1^-1,-2*K.1,K.1,K.1^-1,-2*K.1,2*K.1^-1,2*K.1,-2*K.1,-2*K.1^-1,K.1,1,1,K.1^-1,K.1,-2*K.1,K.1^-1,-2*K.1^-1,1,-2,K.1,K.1^-1,-1,-1*K.1,K.1,-1*K.1,K.1,-2*K.1,K.1^-1,1,K.1^-1,K.1,-1*K.1^-1,-1*K.1^-1,1,2*K.1^-1,-2*K.1^-1,-1,-2,2,1,-1*K.1^-1,-1*K.1,2*K.1,K.1^-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |2,-2,-2,2,2*K.1^-1,2*K.1,-1*K.1,2*K.1,-1,-1*K.1^-1,2*K.1,-1*K.1,2*K.1^-1,2*K.1^-1,2,-1,-1*K.1,-1,-1*K.1^-1,-1*K.1^-1,2,-1,2*K.1,-1*K.1,2*K.1^-1,-1,-1*K.1^-1,-1,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1*K.1,2,0,0,0,0,-2*K.1^-1,-2*K.1,-2*K.1^-1,1,-2*K.1,1,1,-2,-2*K.1,-2,K.1^-1,K.1,K.1,-2*K.1^-1,K.1^-1,K.1,K.1^-1,2*K.1,2*K.1^-1,-2*K.1^-1,-2*K.1,-2*K.1^-1,-2,1,K.1,K.1^-1,K.1^-1,-2*K.1,K.1,1,1,K.1^-1,K.1,-1,2*K.1^-1,K.1^-1,-1*K.1^-1,-2*K.1^-1,K.1^-1,-2*K.1,1,K.1,K.1^-1,2*K.1,-1*K.1,1,-1*K.1,K.1,-1,1,-1,-2,-1*K.1,-1*K.1^-1,-1*K.1^-1,K.1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |2,-2,-2,2,2*K.1,2*K.1^-1,-1*K.1^-1,2*K.1^-1,-1,-1*K.1,2*K.1^-1,-1*K.1^-1,2*K.1,2*K.1,2,-1,-1*K.1^-1,-1,-1*K.1,-1*K.1,2,-1,2*K.1^-1,-1*K.1^-1,2*K.1,-1,-1*K.1,-1,-1*K.1,-1*K.1,-1*K.1^-1,-1*K.1^-1,2,0,0,0,0,-2*K.1,-2*K.1^-1,-2*K.1,1,-2*K.1^-1,1,1,-2,-2*K.1^-1,-2,K.1,K.1^-1,K.1^-1,-2*K.1,K.1,K.1^-1,K.1,2*K.1^-1,2*K.1,-2*K.1,-2*K.1^-1,-2*K.1,-2,1,K.1^-1,K.1,K.1,-2*K.1^-1,K.1^-1,1,1,K.1,K.1^-1,-1,2*K.1,K.1,-1*K.1,-2*K.1,K.1,-2*K.1^-1,1,K.1^-1,K.1,2*K.1^-1,-1*K.1^-1,1,-1*K.1^-1,K.1^-1,-1,1,-1,-2,-1*K.1^-1,-1*K.1,-1*K.1,K.1^-1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |2,-2,-2,2,2*K.1^-1,2*K.1,-1*K.1,2*K.1,-1,-1*K.1^-1,-1*K.1,-1*K.1,2*K.1^-1,-1*K.1^-1,-1,-1,2*K.1,2,-1*K.1^-1,2*K.1^-1,2,-1,-1*K.1,2*K.1,-1*K.1^-1,2,2*K.1^-1,-1,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1*K.1,-1,0,0,0,0,-2*K.1^-1,-2*K.1,K.1^-1,-2,-2*K.1,1,1,1,K.1,-2,-2*K.1^-1,K.1,-2*K.1,-2*K.1^-1,K.1^-1,K.1,K.1^-1,2*K.1,2*K.1^-1,-2*K.1^-1,-2*K.1,K.1^-1,1,-2,K.1,-2*K.1^-1,K.1^-1,K.1,K.1,1,1,K.1^-1,-2*K.1,-1,-1*K.1^-1,K.1^-1,-1*K.1^-1,K.1^-1,K.1^-1,K.1,1,-2*K.1,-2*K.1^-1,-1*K.1,-1*K.1,-2,-1*K.1,K.1,2,1,-1,1,2*K.1,2*K.1^-1,-1*K.1^-1,K.1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |2,-2,-2,2,2*K.1,2*K.1^-1,-1*K.1^-1,2*K.1^-1,-1,-1*K.1,-1*K.1^-1,-1*K.1^-1,2*K.1,-1*K.1,-1,-1,2*K.1^-1,2,-1*K.1,2*K.1,2,-1,-1*K.1^-1,2*K.1^-1,-1*K.1,2,2*K.1,-1,-1*K.1,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1,0,0,0,0,-2*K.1,-2*K.1^-1,K.1,-2,-2*K.1^-1,1,1,1,K.1^-1,-2,-2*K.1,K.1^-1,-2*K.1^-1,-2*K.1,K.1,K.1^-1,K.1,2*K.1^-1,2*K.1,-2*K.1,-2*K.1^-1,K.1,1,-2,K.1^-1,-2*K.1,K.1,K.1^-1,K.1^-1,1,1,K.1,-2*K.1^-1,-1,-1*K.1,K.1,-1*K.1,K.1,K.1,K.1^-1,1,-2*K.1^-1,-2*K.1,-1*K.1^-1,-1*K.1^-1,-2,-1*K.1^-1,K.1^-1,2,1,-1,1,2*K.1^-1,2*K.1,-1*K.1,K.1^-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |2,-2,-2,2,2*K.1^-1,2*K.1,-1*K.1,2*K.1,2,2*K.1^-1,-1*K.1,2*K.1,2*K.1^-1,-1*K.1^-1,-1,-1,-1*K.1,-1,-1*K.1^-1,-1*K.1^-1,2,-1,-1*K.1,-1*K.1,-1*K.1^-1,-1,-1*K.1^-1,2,2*K.1^-1,-1*K.1^-1,-1*K.1,2*K.1,-1,0,0,0,0,-2*K.1^-1,-2*K.1,K.1^-1,1,-2*K.1,1,-2,1,K.1,-2,K.1^-1,K.1,K.1,-2*K.1^-1,-2*K.1^-1,-2*K.1,K.1^-1,2*K.1,2*K.1^-1,-2*K.1^-1,-2*K.1,K.1^-1,1,1,-2*K.1,K.1^-1,K.1^-1,K.1,K.1,-2,1,-2*K.1^-1,K.1,2,-1*K.1^-1,-2*K.1^-1,2*K.1^-1,K.1^-1,K.1^-1,K.1,-2,K.1,K.1^-1,-1*K.1,2*K.1,1,-1*K.1,K.1,-1,1,-1,1,-1*K.1,-1*K.1^-1,-1*K.1^-1,-2*K.1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |2,-2,-2,2,2*K.1,2*K.1^-1,-1*K.1^-1,2*K.1^-1,2,2*K.1,-1*K.1^-1,2*K.1^-1,2*K.1,-1*K.1,-1,-1,-1*K.1^-1,-1,-1*K.1,-1*K.1,2,-1,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1,-1*K.1,2,2*K.1,-1*K.1,-1*K.1^-1,2*K.1^-1,-1,0,0,0,0,-2*K.1,-2*K.1^-1,K.1,1,-2*K.1^-1,1,-2,1,K.1^-1,-2,K.1,K.1^-1,K.1^-1,-2*K.1,-2*K.1,-2*K.1^-1,K.1,2*K.1^-1,2*K.1,-2*K.1,-2*K.1^-1,K.1,1,1,-2*K.1^-1,K.1,K.1,K.1^-1,K.1^-1,-2,1,-2*K.1,K.1^-1,2,-1*K.1,-2*K.1,2*K.1,K.1,K.1,K.1^-1,-2,K.1^-1,K.1,-1*K.1^-1,2*K.1^-1,1,-1*K.1^-1,K.1^-1,-1,1,-1,1,-1*K.1^-1,-1*K.1,-1*K.1,-2*K.1^-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |2,-2,2,-2,2*K.1^-1,2*K.1,2*K.1,2*K.1,-1,-1*K.1^-1,-1*K.1,-1*K.1,2*K.1^-1,-1*K.1^-1,-1,2,-1*K.1,-1,2*K.1^-1,-1*K.1^-1,2,2,-1*K.1,-1*K.1,-1*K.1^-1,-1,-1*K.1^-1,-1,-1*K.1^-1,2*K.1^-1,2*K.1,-1*K.1,-1,0,0,0,0,-2*K.1^-1,-2*K.1,K.1^-1,1,-2*K.1,-2,1,1,K.1,-2,K.1^-1,-2*K.1,K.1,-2*K.1^-1,K.1^-1,K.1,-2*K.1^-1,-2*K.1,-2*K.1^-1,2*K.1^-1,2*K.1,K.1^-1,1,1,K.1,K.1^-1,-2*K.1^-1,K.1,-2*K.1,1,-2,K.1^-1,K.1,1,K.1^-1,-1*K.1^-1,K.1^-1,-1*K.1^-1,2*K.1^-1,-1*K.1,-1,-1*K.1,-1*K.1^-1,K.1,K.1,-1,-2*K.1,2*K.1,1,2,-2,-1,K.1,K.1^-1,-2*K.1^-1,-1*K.1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |2,-2,2,-2,2*K.1,2*K.1^-1,2*K.1^-1,2*K.1^-1,-1,-1*K.1,-1*K.1^-1,-1*K.1^-1,2*K.1,-1*K.1,-1,2,-1*K.1^-1,-1,2*K.1,-1*K.1,2,2,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1,-1*K.1,-1,-1*K.1,2*K.1,2*K.1^-1,-1*K.1^-1,-1,0,0,0,0,-2*K.1,-2*K.1^-1,K.1,1,-2*K.1^-1,-2,1,1,K.1^-1,-2,K.1,-2*K.1^-1,K.1^-1,-2*K.1,K.1,K.1^-1,-2*K.1,-2*K.1^-1,-2*K.1,2*K.1,2*K.1^-1,K.1,1,1,K.1^-1,K.1,-2*K.1,K.1^-1,-2*K.1^-1,1,-2,K.1,K.1^-1,1,K.1,-1*K.1,K.1,-1*K.1,2*K.1,-1*K.1^-1,-1,-1*K.1^-1,-1*K.1,K.1^-1,K.1^-1,-1,-2*K.1^-1,2*K.1^-1,1,2,-2,-1,K.1^-1,K.1,-2*K.1,-1*K.1^-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |2,-2,2,-2,2*K.1^-1,2*K.1,-1*K.1,2*K.1,-1,-1*K.1^-1,2*K.1,-1*K.1,2*K.1^-1,2*K.1^-1,2,-1,-1*K.1,-1,-1*K.1^-1,-1*K.1^-1,2,-1,2*K.1,-1*K.1,2*K.1^-1,-1,-1*K.1^-1,-1,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1*K.1,2,0,0,0,0,-2*K.1^-1,-2*K.1,-2*K.1^-1,1,-2*K.1,1,1,-2,-2*K.1,-2,K.1^-1,K.1,K.1,-2*K.1^-1,K.1^-1,K.1,K.1^-1,-2*K.1,-2*K.1^-1,2*K.1^-1,2*K.1,-2*K.1^-1,-2,1,K.1,K.1^-1,K.1^-1,-2*K.1,K.1,1,1,K.1^-1,K.1,1,-2*K.1^-1,-1*K.1^-1,K.1^-1,2*K.1^-1,-1*K.1^-1,2*K.1,-1,-1*K.1,-1*K.1^-1,-2*K.1,K.1,-1,K.1,-1*K.1,1,-1,1,2,K.1,K.1^-1,K.1^-1,-1*K.1,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |2,-2,2,-2,2*K.1,2*K.1^-1,-1*K.1^-1,2*K.1^-1,-1,-1*K.1,2*K.1^-1,-1*K.1^-1,2*K.1,2*K.1,2,-1,-1*K.1^-1,-1,-1*K.1,-1*K.1,2,-1,2*K.1^-1,-1*K.1^-1,2*K.1,-1,-1*K.1,-1,-1*K.1,-1*K.1,-1*K.1^-1,-1*K.1^-1,2,0,0,0,0,-2*K.1,-2*K.1^-1,-2*K.1,1,-2*K.1^-1,1,1,-2,-2*K.1^-1,-2,K.1,K.1^-1,K.1^-1,-2*K.1,K.1,K.1^-1,K.1,-2*K.1^-1,-2*K.1,2*K.1,2*K.1^-1,-2*K.1,-2,1,K.1^-1,K.1,K.1,-2*K.1^-1,K.1^-1,1,1,K.1,K.1^-1,1,-2*K.1,-1*K.1,K.1,2*K.1,-1*K.1,2*K.1^-1,-1,-1*K.1^-1,-1*K.1,-2*K.1^-1,K.1^-1,-1,K.1^-1,-1*K.1^-1,1,-1,1,2,K.1^-1,K.1,K.1,-1*K.1^-1,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |2,-2,2,-2,2*K.1^-1,2*K.1,-1*K.1,2*K.1,-1,-1*K.1^-1,-1*K.1,-1*K.1,2*K.1^-1,-1*K.1^-1,-1,-1,2*K.1,2,-1*K.1^-1,2*K.1^-1,2,-1,-1*K.1,2*K.1,-1*K.1^-1,2,2*K.1^-1,-1,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1*K.1,-1,0,0,0,0,-2*K.1^-1,-2*K.1,K.1^-1,-2,-2*K.1,1,1,1,K.1,-2,-2*K.1^-1,K.1,-2*K.1,-2*K.1^-1,K.1^-1,K.1,K.1^-1,-2*K.1,-2*K.1^-1,2*K.1^-1,2*K.1,K.1^-1,1,-2,K.1,-2*K.1^-1,K.1^-1,K.1,K.1,1,1,K.1^-1,-2*K.1,1,K.1^-1,-1*K.1^-1,K.1^-1,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1,2*K.1,2*K.1^-1,K.1,K.1,2,K.1,-1*K.1,-2,-1,1,-1,-2*K.1,-2*K.1^-1,K.1^-1,-1*K.1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |2,-2,2,-2,2*K.1,2*K.1^-1,-1*K.1^-1,2*K.1^-1,-1,-1*K.1,-1*K.1^-1,-1*K.1^-1,2*K.1,-1*K.1,-1,-1,2*K.1^-1,2,-1*K.1,2*K.1,2,-1,-1*K.1^-1,2*K.1^-1,-1*K.1,2,2*K.1,-1,-1*K.1,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1,0,0,0,0,-2*K.1,-2*K.1^-1,K.1,-2,-2*K.1^-1,1,1,1,K.1^-1,-2,-2*K.1,K.1^-1,-2*K.1^-1,-2*K.1,K.1,K.1^-1,K.1,-2*K.1^-1,-2*K.1,2*K.1,2*K.1^-1,K.1,1,-2,K.1^-1,-2*K.1,K.1,K.1^-1,K.1^-1,1,1,K.1,-2*K.1^-1,1,K.1,-1*K.1,K.1,-1*K.1,-1*K.1,-1*K.1^-1,-1,2*K.1^-1,2*K.1,K.1^-1,K.1^-1,2,K.1^-1,-1*K.1^-1,-2,-1,1,-1,-2*K.1^-1,-2*K.1,K.1,-1*K.1^-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |2,-2,2,-2,2*K.1^-1,2*K.1,-1*K.1,2*K.1,2,2*K.1^-1,-1*K.1,2*K.1,2*K.1^-1,-1*K.1^-1,-1,-1,-1*K.1,-1,-1*K.1^-1,-1*K.1^-1,2,-1,-1*K.1,-1*K.1,-1*K.1^-1,-1,-1*K.1^-1,2,2*K.1^-1,-1*K.1^-1,-1*K.1,2*K.1,-1,0,0,0,0,-2*K.1^-1,-2*K.1,K.1^-1,1,-2*K.1,1,-2,1,K.1,-2,K.1^-1,K.1,K.1,-2*K.1^-1,-2*K.1^-1,-2*K.1,K.1^-1,-2*K.1,-2*K.1^-1,2*K.1^-1,2*K.1,K.1^-1,1,1,-2*K.1,K.1^-1,K.1^-1,K.1,K.1,-2,1,-2*K.1^-1,K.1,-2,K.1^-1,2*K.1^-1,-2*K.1^-1,-1*K.1^-1,-1*K.1^-1,-1*K.1,2,-1*K.1,-1*K.1^-1,K.1,-2*K.1,-1,K.1,-1*K.1,1,-1,1,-1,K.1,K.1^-1,K.1^-1,2*K.1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |2,-2,2,-2,2*K.1,2*K.1^-1,-1*K.1^-1,2*K.1^-1,2,2*K.1,-1*K.1^-1,2*K.1^-1,2*K.1,-1*K.1,-1,-1,-1*K.1^-1,-1,-1*K.1,-1*K.1,2,-1,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1,-1*K.1,2,2*K.1,-1*K.1,-1*K.1^-1,2*K.1^-1,-1,0,0,0,0,-2*K.1,-2*K.1^-1,K.1,1,-2*K.1^-1,1,-2,1,K.1^-1,-2,K.1,K.1^-1,K.1^-1,-2*K.1,-2*K.1,-2*K.1^-1,K.1,-2*K.1^-1,-2*K.1,2*K.1,2*K.1^-1,K.1,1,1,-2*K.1^-1,K.1,K.1,K.1^-1,K.1^-1,-2,1,-2*K.1,K.1^-1,-2,K.1,2*K.1,-2*K.1,-1*K.1,-1*K.1,-1*K.1^-1,2,-1*K.1^-1,-1*K.1,K.1^-1,-2*K.1^-1,-1,K.1^-1,-1*K.1^-1,1,-1,1,-1,K.1^-1,K.1,K.1,2*K.1^-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(12: Sparse := true); S := [ K |2,-2,0,0,-2*K.1^2,2*K.1^4,2*K.1^4,-1*K.1^4,2,-2*K.1^2,2*K.1^4,2*K.1^4,K.1^2,-2*K.1^2,2,2,2*K.1^4,2,-2*K.1^2,-2*K.1^2,-1,-1,-1*K.1^4,-1*K.1^4,K.1^2,-1,K.1^2,-1,K.1^2,K.1^2,-1*K.1^4,-1*K.1^4,-1,-2*K.1^3,2*K.1^3,0,0,2*K.1^2,-2*K.1^4,2*K.1^2,-2,K.1^4,-2,-2,-2,-2*K.1^4,1,2*K.1^2,-2*K.1^4,-2*K.1^4,-1*K.1^2,2*K.1^2,-2*K.1^4,2*K.1^2,0,0,0,0,-1*K.1^2,1,1,K.1^4,-1*K.1^2,-1*K.1^2,K.1^4,K.1^4,1,1,-1*K.1^2,K.1^4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2*K.1,2*K.1^5,-2*K.1^5,2*K.1,K.1^3,-1*K.1^3,K.1,-1*K.1^5,K.1^5,-1*K.1,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(12: Sparse := true); S := [ K |2,-2,0,0,2*K.1^4,-2*K.1^2,-2*K.1^2,K.1^2,2,2*K.1^4,-2*K.1^2,-2*K.1^2,-1*K.1^4,2*K.1^4,2,2,-2*K.1^2,2,2*K.1^4,2*K.1^4,-1,-1,K.1^2,K.1^2,-1*K.1^4,-1,-1*K.1^4,-1,-1*K.1^4,-1*K.1^4,K.1^2,K.1^2,-1,2*K.1^3,-2*K.1^3,0,0,-2*K.1^4,2*K.1^2,-2*K.1^4,-2,-1*K.1^2,-2,-2,-2,2*K.1^2,1,-2*K.1^4,2*K.1^2,2*K.1^2,K.1^4,-2*K.1^4,2*K.1^2,-2*K.1^4,0,0,0,0,K.1^4,1,1,-1*K.1^2,K.1^4,K.1^4,-1*K.1^2,-1*K.1^2,1,1,K.1^4,-1*K.1^2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2*K.1^5,-2*K.1,2*K.1,-2*K.1^5,-1*K.1^3,K.1^3,-1*K.1^5,K.1,-1*K.1,K.1^5,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(12: Sparse := true); S := [ K |2,-2,0,0,-2*K.1^2,2*K.1^4,2*K.1^4,-1*K.1^4,2,-2*K.1^2,2*K.1^4,2*K.1^4,K.1^2,-2*K.1^2,2,2,2*K.1^4,2,-2*K.1^2,-2*K.1^2,-1,-1,-1*K.1^4,-1*K.1^4,K.1^2,-1,K.1^2,-1,K.1^2,K.1^2,-1*K.1^4,-1*K.1^4,-1,2*K.1^3,-2*K.1^3,0,0,2*K.1^2,-2*K.1^4,2*K.1^2,-2,K.1^4,-2,-2,-2,-2*K.1^4,1,2*K.1^2,-2*K.1^4,-2*K.1^4,-1*K.1^2,2*K.1^2,-2*K.1^4,2*K.1^2,0,0,0,0,-1*K.1^2,1,1,K.1^4,-1*K.1^2,-1*K.1^2,K.1^4,K.1^4,1,1,-1*K.1^2,K.1^4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2*K.1,-2*K.1^5,2*K.1^5,-2*K.1,-1*K.1^3,K.1^3,-1*K.1,K.1^5,-1*K.1^5,K.1,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(12: Sparse := true); S := [ K |2,-2,0,0,2*K.1^4,-2*K.1^2,-2*K.1^2,K.1^2,2,2*K.1^4,-2*K.1^2,-2*K.1^2,-1*K.1^4,2*K.1^4,2,2,-2*K.1^2,2,2*K.1^4,2*K.1^4,-1,-1,K.1^2,K.1^2,-1*K.1^4,-1,-1*K.1^4,-1,-1*K.1^4,-1*K.1^4,K.1^2,K.1^2,-1,-2*K.1^3,2*K.1^3,0,0,-2*K.1^4,2*K.1^2,-2*K.1^4,-2,-1*K.1^2,-2,-2,-2,2*K.1^2,1,-2*K.1^4,2*K.1^2,2*K.1^2,K.1^4,-2*K.1^4,2*K.1^2,-2*K.1^4,0,0,0,0,K.1^4,1,1,-1*K.1^2,K.1^4,K.1^4,-1*K.1^2,-1*K.1^2,1,1,K.1^4,-1*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,-2*K.1^5,2*K.1,-2*K.1,2*K.1^5,K.1^3,-1*K.1^3,K.1^5,-1*K.1,K.1,-1*K.1^5,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; x := CR!\[4, 4, 0, 0, 4, 4, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 4, 4, -2, 4, -2, 1, 1, -2, 1, -2, -2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 4, 4, -2, 4, -2, -2, -2, -2, -2, -2, 4, -2, 4, -2, -2, -2, -2, 0, 0, 0, 0, 1, 1, -2, 1, -2, 1, 1, 1, 1, 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]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[4, 4, 0, 0, 4, 4, -2, -2, -2, -2, 4, -2, -2, 4, 4, -2, -2, -2, -2, -2, -2, 1, -2, 1, -2, 1, 1, 1, 1, 1, 1, 1, -2, 0, 0, 0, 0, 4, 4, 4, -2, -2, -2, -2, 4, 4, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, -2, -2, 1, 1, 1, 1, -2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[4, 4, 0, 0, 4, 4, -2, -2, 4, 4, -2, 4, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, 1, 1, -2, -2, 1, 1, -2, 1, 0, 0, 0, 0, 4, 4, -2, -2, -2, -2, 4, -2, -2, -2, -2, -2, -2, -2, 4, 4, -2, 0, 0, 0, 0, 1, 1, 1, -2, 1, 1, 1, 1, -2, 1, -2, 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]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[4, 4, 0, 0, 4, 4, 4, -2, -2, -2, -2, -2, -2, -2, -2, 4, -2, -2, 4, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, -2, -2, 1, 1, 0, 0, 0, 0, 4, 4, -2, -2, -2, 4, -2, -2, -2, -2, -2, 4, -2, -2, -2, -2, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, -2, 1, -2, 1, -2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[4, -4, 0, 0, 4, 4, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 4, 4, -2, 4, -2, 1, 1, -2, 1, -2, -2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, -4, -4, 2, -4, 2, 2, 2, 2, 2, 2, -4, 2, -4, 2, 2, 2, 2, 0, 0, 0, 0, -1, -1, 2, -1, 2, -1, -1, -1, -1, -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]; x`IsCharacter := true; x`Schur := -1; x`IsIrreducible := true; x := CR!\[4, -4, 0, 0, 4, 4, -2, -2, -2, -2, 4, -2, -2, 4, 4, -2, -2, -2, -2, -2, -2, 1, -2, 1, -2, 1, 1, 1, 1, 1, 1, 1, -2, 0, 0, 0, 0, -4, -4, -4, 2, 2, 2, 2, -4, -4, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := -1; x`IsIrreducible := true; x := CR!\[4, -4, 0, 0, 4, 4, -2, -2, 4, 4, -2, 4, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, 1, 1, -2, -2, 1, 1, -2, 1, 0, 0, 0, 0, -4, -4, 2, 2, 2, 2, -4, 2, 2, 2, 2, 2, 2, 2, -4, -4, 2, 0, 0, 0, 0, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, 2, -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]; x`IsCharacter := true; x`Schur := -1; x`IsIrreducible := true; x := CR!\[4, -4, 0, 0, 4, 4, 4, -2, -2, -2, -2, -2, -2, -2, -2, 4, -2, -2, 4, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, -2, -2, 1, 1, 0, 0, 0, 0, -4, -4, 2, 2, 2, -4, 2, 2, 2, 2, 2, -4, 2, 2, 2, 2, -4, 0, 0, 0, 0, -1, -1, -1, -1, -1, 2, -1, 2, -1, 2, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := -1; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |4,4,0,0,4*K.1^-1,4*K.1,4*K.1,-2*K.1,-2,-2*K.1^-1,-2*K.1,-2*K.1,-2*K.1^-1,-2*K.1^-1,-2,4,-2*K.1,-2,4*K.1^-1,-2*K.1^-1,-2,-2,K.1,K.1,K.1^-1,1,K.1^-1,1,K.1^-1,-2*K.1^-1,-2*K.1,K.1,1,0,0,0,0,4*K.1^-1,4*K.1,-2*K.1^-1,-2,-2*K.1,4,-2,-2,-2*K.1,-2,-2*K.1^-1,4*K.1,-2*K.1,-2*K.1^-1,-2*K.1^-1,-2*K.1,4*K.1^-1,0,0,0,0,K.1^-1,1,1,K.1,K.1^-1,-2*K.1^-1,K.1,-2*K.1,1,-2,K.1^-1,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]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |4,4,0,0,4*K.1,4*K.1^-1,4*K.1^-1,-2*K.1^-1,-2,-2*K.1,-2*K.1^-1,-2*K.1^-1,-2*K.1,-2*K.1,-2,4,-2*K.1^-1,-2,4*K.1,-2*K.1,-2,-2,K.1^-1,K.1^-1,K.1,1,K.1,1,K.1,-2*K.1,-2*K.1^-1,K.1^-1,1,0,0,0,0,4*K.1,4*K.1^-1,-2*K.1,-2,-2*K.1^-1,4,-2,-2,-2*K.1^-1,-2,-2*K.1,4*K.1^-1,-2*K.1^-1,-2*K.1,-2*K.1,-2*K.1^-1,4*K.1,0,0,0,0,K.1,1,1,K.1^-1,K.1,-2*K.1,K.1^-1,-2*K.1^-1,1,-2,K.1,K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |4,4,0,0,4*K.1^-1,4*K.1,-2*K.1,-2*K.1,-2,-2*K.1^-1,4*K.1,-2*K.1,-2*K.1^-1,4*K.1^-1,4,-2,-2*K.1,-2,-2*K.1^-1,-2*K.1^-1,-2,1,-2*K.1,K.1,-2*K.1^-1,1,K.1^-1,1,K.1^-1,K.1^-1,K.1,K.1,-2,0,0,0,0,4*K.1^-1,4*K.1,4*K.1^-1,-2,-2*K.1,-2,-2,4,4*K.1,-2,-2*K.1^-1,-2*K.1,-2*K.1,-2*K.1^-1,-2*K.1^-1,-2*K.1,-2*K.1^-1,0,0,0,0,-2*K.1^-1,-2,1,K.1,K.1^-1,K.1^-1,-2*K.1,K.1,1,1,K.1^-1,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]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |4,4,0,0,4*K.1,4*K.1^-1,-2*K.1^-1,-2*K.1^-1,-2,-2*K.1,4*K.1^-1,-2*K.1^-1,-2*K.1,4*K.1,4,-2,-2*K.1^-1,-2,-2*K.1,-2*K.1,-2,1,-2*K.1^-1,K.1^-1,-2*K.1,1,K.1,1,K.1,K.1,K.1^-1,K.1^-1,-2,0,0,0,0,4*K.1,4*K.1^-1,4*K.1,-2,-2*K.1^-1,-2,-2,4,4*K.1^-1,-2,-2*K.1,-2*K.1^-1,-2*K.1^-1,-2*K.1,-2*K.1,-2*K.1^-1,-2*K.1,0,0,0,0,-2*K.1,-2,1,K.1^-1,K.1,K.1,-2*K.1^-1,K.1^-1,1,1,K.1,K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |4,4,0,0,4*K.1^-1,4*K.1,-2*K.1,-2*K.1,-2,-2*K.1^-1,-2*K.1,-2*K.1,-2*K.1^-1,-2*K.1^-1,-2,-2,4*K.1,4,-2*K.1^-1,4*K.1^-1,-2,1,K.1,-2*K.1,K.1^-1,-2,-2*K.1^-1,1,K.1^-1,K.1^-1,K.1,K.1,1,0,0,0,0,4*K.1^-1,4*K.1,-2*K.1^-1,4,-2*K.1,-2,-2,-2,-2*K.1,-2,4*K.1^-1,-2*K.1,4*K.1,-2*K.1^-1,-2*K.1^-1,-2*K.1,-2*K.1^-1,0,0,0,0,K.1^-1,1,-2,K.1,-2*K.1^-1,K.1^-1,K.1,K.1,1,1,K.1^-1,-2*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |4,4,0,0,4*K.1,4*K.1^-1,-2*K.1^-1,-2*K.1^-1,-2,-2*K.1,-2*K.1^-1,-2*K.1^-1,-2*K.1,-2*K.1,-2,-2,4*K.1^-1,4,-2*K.1,4*K.1,-2,1,K.1^-1,-2*K.1^-1,K.1,-2,-2*K.1,1,K.1,K.1,K.1^-1,K.1^-1,1,0,0,0,0,4*K.1,4*K.1^-1,-2*K.1,4,-2*K.1^-1,-2,-2,-2,-2*K.1^-1,-2,4*K.1,-2*K.1^-1,4*K.1^-1,-2*K.1,-2*K.1,-2*K.1^-1,-2*K.1,0,0,0,0,K.1,1,-2,K.1^-1,-2*K.1,K.1,K.1^-1,K.1^-1,1,1,K.1,-2*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |4,4,0,0,4*K.1^-1,4*K.1,-2*K.1,-2*K.1,4,4*K.1^-1,-2*K.1,4*K.1,-2*K.1^-1,-2*K.1^-1,-2,-2,-2*K.1,-2,-2*K.1^-1,-2*K.1^-1,-2,1,K.1,K.1,K.1^-1,1,K.1^-1,-2,-2*K.1^-1,K.1^-1,K.1,-2*K.1,1,0,0,0,0,4*K.1^-1,4*K.1,-2*K.1^-1,-2,-2*K.1,-2,4,-2,-2*K.1,-2,-2*K.1^-1,-2*K.1,-2*K.1,-2*K.1^-1,4*K.1^-1,4*K.1,-2*K.1^-1,0,0,0,0,K.1^-1,1,1,-2*K.1,K.1^-1,K.1^-1,K.1,K.1,-2,1,-2*K.1^-1,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]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |4,4,0,0,4*K.1,4*K.1^-1,-2*K.1^-1,-2*K.1^-1,4,4*K.1,-2*K.1^-1,4*K.1^-1,-2*K.1,-2*K.1,-2,-2,-2*K.1^-1,-2,-2*K.1,-2*K.1,-2,1,K.1^-1,K.1^-1,K.1,1,K.1,-2,-2*K.1,K.1,K.1^-1,-2*K.1^-1,1,0,0,0,0,4*K.1,4*K.1^-1,-2*K.1,-2,-2*K.1^-1,-2,4,-2,-2*K.1^-1,-2,-2*K.1,-2*K.1^-1,-2*K.1^-1,-2*K.1,4*K.1,4*K.1^-1,-2*K.1,0,0,0,0,K.1,1,1,-2*K.1^-1,K.1,K.1,K.1^-1,K.1^-1,-2,1,-2*K.1,K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |4,-4,0,0,4*K.1^-1,4*K.1,4*K.1,-2*K.1,-2,-2*K.1^-1,-2*K.1,-2*K.1,-2*K.1^-1,-2*K.1^-1,-2,4,-2*K.1,-2,4*K.1^-1,-2*K.1^-1,-2,-2,K.1,K.1,K.1^-1,1,K.1^-1,1,K.1^-1,-2*K.1^-1,-2*K.1,K.1,1,0,0,0,0,-4*K.1^-1,-4*K.1,2*K.1^-1,2,2*K.1,-4,2,2,2*K.1,2,2*K.1^-1,-4*K.1,2*K.1,2*K.1^-1,2*K.1^-1,2*K.1,-4*K.1^-1,0,0,0,0,-1*K.1^-1,-1,-1,-1*K.1,-1*K.1^-1,2*K.1^-1,-1*K.1,2*K.1,-1,2,-1*K.1^-1,-1*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]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |4,-4,0,0,4*K.1,4*K.1^-1,4*K.1^-1,-2*K.1^-1,-2,-2*K.1,-2*K.1^-1,-2*K.1^-1,-2*K.1,-2*K.1,-2,4,-2*K.1^-1,-2,4*K.1,-2*K.1,-2,-2,K.1^-1,K.1^-1,K.1,1,K.1,1,K.1,-2*K.1,-2*K.1^-1,K.1^-1,1,0,0,0,0,-4*K.1,-4*K.1^-1,2*K.1,2,2*K.1^-1,-4,2,2,2*K.1^-1,2,2*K.1,-4*K.1^-1,2*K.1^-1,2*K.1,2*K.1,2*K.1^-1,-4*K.1,0,0,0,0,-1*K.1,-1,-1,-1*K.1^-1,-1*K.1,2*K.1,-1*K.1^-1,2*K.1^-1,-1,2,-1*K.1,-1*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |4,-4,0,0,4*K.1^-1,4*K.1,-2*K.1,-2*K.1,-2,-2*K.1^-1,4*K.1,-2*K.1,-2*K.1^-1,4*K.1^-1,4,-2,-2*K.1,-2,-2*K.1^-1,-2*K.1^-1,-2,1,-2*K.1,K.1,-2*K.1^-1,1,K.1^-1,1,K.1^-1,K.1^-1,K.1,K.1,-2,0,0,0,0,-4*K.1^-1,-4*K.1,-4*K.1^-1,2,2*K.1,2,2,-4,-4*K.1,2,2*K.1^-1,2*K.1,2*K.1,2*K.1^-1,2*K.1^-1,2*K.1,2*K.1^-1,0,0,0,0,2*K.1^-1,2,-1,-1*K.1,-1*K.1^-1,-1*K.1^-1,2*K.1,-1*K.1,-1,-1,-1*K.1^-1,-1*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]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |4,-4,0,0,4*K.1,4*K.1^-1,-2*K.1^-1,-2*K.1^-1,-2,-2*K.1,4*K.1^-1,-2*K.1^-1,-2*K.1,4*K.1,4,-2,-2*K.1^-1,-2,-2*K.1,-2*K.1,-2,1,-2*K.1^-1,K.1^-1,-2*K.1,1,K.1,1,K.1,K.1,K.1^-1,K.1^-1,-2,0,0,0,0,-4*K.1,-4*K.1^-1,-4*K.1,2,2*K.1^-1,2,2,-4,-4*K.1^-1,2,2*K.1,2*K.1^-1,2*K.1^-1,2*K.1,2*K.1,2*K.1^-1,2*K.1,0,0,0,0,2*K.1,2,-1,-1*K.1^-1,-1*K.1,-1*K.1,2*K.1^-1,-1*K.1^-1,-1,-1,-1*K.1,-1*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |4,-4,0,0,4*K.1^-1,4*K.1,-2*K.1,-2*K.1,-2,-2*K.1^-1,-2*K.1,-2*K.1,-2*K.1^-1,-2*K.1^-1,-2,-2,4*K.1,4,-2*K.1^-1,4*K.1^-1,-2,1,K.1,-2*K.1,K.1^-1,-2,-2*K.1^-1,1,K.1^-1,K.1^-1,K.1,K.1,1,0,0,0,0,-4*K.1^-1,-4*K.1,2*K.1^-1,-4,2*K.1,2,2,2,2*K.1,2,-4*K.1^-1,2*K.1,-4*K.1,2*K.1^-1,2*K.1^-1,2*K.1,2*K.1^-1,0,0,0,0,-1*K.1^-1,-1,2,-1*K.1,2*K.1^-1,-1*K.1^-1,-1*K.1,-1*K.1,-1,-1,-1*K.1^-1,2*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |4,-4,0,0,4*K.1,4*K.1^-1,-2*K.1^-1,-2*K.1^-1,-2,-2*K.1,-2*K.1^-1,-2*K.1^-1,-2*K.1,-2*K.1,-2,-2,4*K.1^-1,4,-2*K.1,4*K.1,-2,1,K.1^-1,-2*K.1^-1,K.1,-2,-2*K.1,1,K.1,K.1,K.1^-1,K.1^-1,1,0,0,0,0,-4*K.1,-4*K.1^-1,2*K.1,-4,2*K.1^-1,2,2,2,2*K.1^-1,2,-4*K.1,2*K.1^-1,-4*K.1^-1,2*K.1,2*K.1,2*K.1^-1,2*K.1,0,0,0,0,-1*K.1,-1,2,-1*K.1^-1,2*K.1,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1,-1,-1*K.1,2*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |4,-4,0,0,4*K.1^-1,4*K.1,-2*K.1,-2*K.1,4,4*K.1^-1,-2*K.1,4*K.1,-2*K.1^-1,-2*K.1^-1,-2,-2,-2*K.1,-2,-2*K.1^-1,-2*K.1^-1,-2,1,K.1,K.1,K.1^-1,1,K.1^-1,-2,-2*K.1^-1,K.1^-1,K.1,-2*K.1,1,0,0,0,0,-4*K.1^-1,-4*K.1,2*K.1^-1,2,2*K.1,2,-4,2,2*K.1,2,2*K.1^-1,2*K.1,2*K.1,2*K.1^-1,-4*K.1^-1,-4*K.1,2*K.1^-1,0,0,0,0,-1*K.1^-1,-1,-1,2*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1*K.1,2,-1,2*K.1^-1,-1*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]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(3: Sparse := true); S := [ K |4,-4,0,0,4*K.1,4*K.1^-1,-2*K.1^-1,-2*K.1^-1,4,4*K.1,-2*K.1^-1,4*K.1^-1,-2*K.1,-2*K.1,-2,-2,-2*K.1^-1,-2,-2*K.1,-2*K.1,-2,1,K.1^-1,K.1^-1,K.1,1,K.1,-2,-2*K.1,K.1,K.1^-1,-2*K.1^-1,1,0,0,0,0,-4*K.1,-4*K.1^-1,2*K.1,2,2*K.1^-1,2,-4,2,2*K.1^-1,2,2*K.1,2*K.1^-1,2*K.1^-1,2*K.1,-4*K.1,-4*K.1^-1,2*K.1,0,0,0,0,-1*K.1,-1,-1,2*K.1^-1,-1*K.1,-1*K.1,-1*K.1^-1,-1*K.1^-1,2,-1,2*K.1,-1*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; _ := CharacterTable(G : Check := 0); chartbl_648_651:= KnownIrreducibles(CR);